๐’๐ˆ๐๐†๐˜๐„ ๐’๐ญ๐ฎ๐๐ข๐จ
๐’๐ˆ๐๐†๐˜๐„ ๐’๐ญ๐ฎ๐๐ข๐จ
  • ะ’ะธะดะตะพ 129
  • ะŸั€ะพัะผะพั‚ั€ะพะฒ 45 111
Interesting Results of โˆซ(sec(x))dx | Calculus | Math | Part 3/3 | Bhutan
In this video, I derive some of the interesting results for indefinite integral: โˆซ(sec(x))dx.This is the final part.
Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me.
Part I: ruclips.net/video/H_lTqJ49LIU/ะฒะธะดะตะพ.htmlsi=MQL5_O-fGjk-Y17o
Part II: ruclips.net/video/rsnaQlXSmJA/ะฒะธะดะตะพ.html
More to Watch: ruclips.net/video/Mj9pL5nj0HQ/ะฒะธะดะตะพ.htmlsi=PjK7VYK2XI54ku2u
ruclips.net/video/9vssnm4q3GA/ะฒะธะดะตะพ.htmlsi=Vy9wNViuR9D-5jn_
ruclips.net/video/UJvYWVx3osI/ะฒะธะดะตะพ.htmlsi=oIF0V4pERY_Q3GJ9
ruclips.net/video/ZEYsoBqp-gM/ะฒะธะดะตะพ.htmlsi=uXqiaiYDIQwN7mtk
Evaluating Determinant: ruclips.net/video/Ha...
ะŸั€ะพัะผะพั‚ั€ะพะฒ: 5

ะ’ะธะดะตะพ

Interesting Results of โˆซ(sec(x))dx | Calculus | Math | Part 2/3 | Bhutan10:36Interesting Results of โˆซ(sec(x))dx | Calculus | Math | Part 2/3 | Bhutan
Interesting Results of โˆซ(sec(x))dx | Calculus | Math | Part 2/3 | Bhutan
ะŸั€ะพัะผะพั‚ั€ะพะฒ 910 ั‡ะฐัะพะฒ ะฝะฐะทะฐะด
In this video, I derive some of the interesting results for indefinite integral: โˆซ(sec(x))dx.This is part two of three parts. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me. Part I: ruclips.net/video/H_lTqJ49LIU/ะฒะธะดะตะพ.htmlsi=MQL5_O-fGjk-Y17o Part III: More to Watch: ruclips....
Interesting Results of โˆซ(sec(x))dx | Calculus | Math | Part 1/3 | Bhutan7:15Interesting Results of โˆซ(sec(x))dx | Calculus | Math | Part 1/3 | Bhutan
Interesting Results of โˆซ(sec(x))dx | Calculus | Math | Part 1/3 | Bhutan
ะŸั€ะพัะผะพั‚ั€ะพะฒ 1810 ั‡ะฐัะพะฒ ะฝะฐะทะฐะด
In this video, I derive some of the interesting results for indefinite integral: โˆซ(sec(x))dx.This is first of three parts. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me. Part II: More to Watch: ruclips.net/video/Mj9pL5nj0HQ/ะฒะธะดะตะพ.htmlsi=PjK7VYK2XI54ku2u ruclips.net/video/9v...
Equation of Parabola | Parabola Characteristics | BHSEC Question | Bhutan15:41Equation of Parabola | Parabola Characteristics | BHSEC Question | Bhutan
Equation of Parabola | Parabola Characteristics | BHSEC Question | Bhutan
ะŸั€ะพัะผะพั‚ั€ะพะฒ 129 ั‡ะฐัะพะฒ ะฝะฐะทะฐะด
In this video, I solve one question from BHSEC 2022 Mathematics paper which is about parabola and its characteristics. This is from conic section. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me. More to Watch: ruclips.net/video/ZEYsoBqp-gM/ะฒะธะดะตะพ.htmlsi=uXqiaiYDIQwN7mtk More ...
Equation of Parallel Lines | BHSEC Question | Bhutan15:44Equation of Parallel Lines | BHSEC Question | Bhutan
Equation of Parallel Lines | BHSEC Question | Bhutan
ะŸั€ะพัะผะพั‚ั€ะพะฒ 209 ั‡ะฐัะพะฒ ะฝะฐะทะฐะด
In this video, I solve one system one question from BHSEC 2022 Mathematics paper which is about equation of parallel lines. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me. More to Watch: ruclips.net/video/ZEYsoBqp-gM/ะฒะธะดะตะพ.htmlsi=uXqiaiYDIQwN7mtk More to Watch: ruclips.net/v...
Inverse Trig Question | BHSEC | Bhutan6:57Inverse Trig Question | BHSEC | Bhutan
Inverse Trig Question | BHSEC | Bhutan
ะŸั€ะพัะผะพั‚ั€ะพะฒ 429 ั‡ะฐัะพะฒ ะฝะฐะทะฐะด
In this video, I solve one system one question from BHSEC 2022 Mathematics paper which is about proving statement related to inverse trigonometric functions. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me. More to Watch: ruclips.net/video/ZEYsoBqp-gM/ะฒะธะดะตะพ.htmlsi=uXqiaiYDIQw...
๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ ๐›๐ฒ ๐Œ๐š๐ซ๐ญ๐ข๐ง'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐๐‡๐’๐„๐‚๐Ÿ๐ŸŽ๐Ÿ๐Ÿ10:08๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ ๐›๐ฒ ๐Œ๐š๐ซ๐ญ๐ข๐ง'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐๐‡๐’๐„๐‚๐Ÿ๐ŸŽ๐Ÿ๐Ÿ
๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ ๐›๐ฒ ๐Œ๐š๐ซ๐ญ๐ข๐ง'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐๐‡๐’๐„๐‚๐Ÿ๐ŸŽ๐Ÿ๐Ÿ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 614 ั‡ะฐัะพะฒ ะฝะฐะทะฐะด
In this video, I solve one system one question from BHSEC 2022 Mathematics paper which is about solving systems of linear equations by Martin's Rule. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It means a lot to me. Pre-requisite/Mandatory to watch: ruclips.net/video/E2kZLIt2UQU/ะฒะธะดะตะพ.htmlsi=...
๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐ˆ๐ง๐ฏ๐ž๐ซ๐ฌ๐ž ๐“๐ซ๐ข๐  ๐๐ฎ๐ž๐ฌ๐ญ๐ข๐จ๐ง | ๐๐‡๐’๐„๐‚ ๐Ÿ๐ŸŽ๐Ÿ๐Ÿ— | ๐Œ๐š๐ญ๐ก | ๐๐ก๐ฎ๐ญ๐š๐ง14:04๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐ˆ๐ง๐ฏ๐ž๐ซ๐ฌ๐ž ๐“๐ซ๐ข๐  ๐๐ฎ๐ž๐ฌ๐ญ๐ข๐จ๐ง | ๐๐‡๐’๐„๐‚ ๐Ÿ๐ŸŽ๐Ÿ๐Ÿ— | ๐Œ๐š๐ญ๐ก | ๐๐ก๐ฎ๐ญ๐š๐ง
๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐ˆ๐ง๐ฏ๐ž๐ซ๐ฌ๐ž ๐“๐ซ๐ข๐  ๐๐ฎ๐ž๐ฌ๐ญ๐ข๐จ๐ง | ๐๐‡๐’๐„๐‚ ๐Ÿ๐ŸŽ๐Ÿ๐Ÿ— | ๐Œ๐š๐ญ๐ก | ๐๐ก๐ฎ๐ญ๐š๐ง
ะŸั€ะพัะผะพั‚ั€ะพะฒ 1621 ั‡ะฐั ะฝะฐะทะฐะด
In this video, I solve one system one question from BHSEC 2019 Mathematics paper which is about inverse trigonometric functions. It was was the same paper which I approved back then in 2019 and unfortunately, I couldn't get the correct answer. Hope you all will enjoy. If you think that the contents that I bring up resonates you, please support by liking, subscribing and leaving a comment. It me...
๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ ๐›๐ฒ ๐‚๐ซ๐š๐ฆ๐ž๐ซ'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐๐ซ๐จ๐›๐ฅ๐ž๐ฆ ๐Ÿ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š8:52๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ ๐›๐ฒ ๐‚๐ซ๐š๐ฆ๐ž๐ซ'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐๐ซ๐จ๐›๐ฅ๐ž๐ฆ ๐Ÿ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ ๐›๐ฒ ๐‚๐ซ๐š๐ฆ๐ž๐ซ'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐๐ซ๐จ๐›๐ฅ๐ž๐ฆ ๐Ÿ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
ะŸั€ะพัะผะพั‚ั€ะพะฒ 17ะ”ะตะฝัŒ ะฝะฐะทะฐะด
In this video, I solve one system of linear equations using the Cramer's Rule involving some missing variables in each equation. While, the methods like comparison, elimination and substitution may be useful for systems having fewer variables and number of equations, Cramer's Rule is useful for solving systems having many equations and variables. Pre-requisite/Mandatory to watch: ruclips.net/vi...
๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ ๐›๐ฒ ๐‚๐ซ๐š๐ฆ๐ž๐ซ'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐๐ซ๐จ๐›๐ฅ๐ž๐ฆ ๐Ÿ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š15:05๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ ๐›๐ฒ ๐‚๐ซ๐š๐ฆ๐ž๐ซ'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐๐ซ๐จ๐›๐ฅ๐ž๐ฆ ๐Ÿ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
๐’๐จ๐ฅ๐ฏ๐ข๐ง๐  ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ ๐›๐ฒ ๐‚๐ซ๐š๐ฆ๐ž๐ซ'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐๐ซ๐จ๐›๐ฅ๐ž๐ฆ ๐Ÿ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
ะŸั€ะพัะผะพั‚ั€ะพะฒ 10ะ”ะตะฝัŒ ะฝะฐะทะฐะด
In this video, I solve one system of linear equations using the Cramer's Rule. While, the methods like comparison, elimination and substitution may be useful for systems having fewer variables and number of equations, Cramer's Rule is useful for solving systems having many equations and variables. Pre-requisite/Mandatory to watch: ruclips.net/video/E2kZLIt2UQU/ะฒะธะดะตะพ.htmlsi=EWJ4DWzVV4IPfArr More...
๐๐ซ๐จ๐จ๐Ÿ ๐จ๐Ÿ ๐‚๐ซ๐š๐ฆ๐ž๐ซ'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐’๐ฒ๐ฌ๐ญ๐ž๐ฆ ๐จ๐Ÿ ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ10:56๐๐ซ๐จ๐จ๐Ÿ ๐จ๐Ÿ ๐‚๐ซ๐š๐ฆ๐ž๐ซ'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐’๐ฒ๐ฌ๐ญ๐ž๐ฆ ๐จ๐Ÿ ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ
๐๐ซ๐จ๐จ๐Ÿ ๐จ๐Ÿ ๐‚๐ซ๐š๐ฆ๐ž๐ซ'๐ฌ ๐‘๐ฎ๐ฅ๐ž | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐’๐ฒ๐ฌ๐ญ๐ž๐ฆ ๐จ๐Ÿ ๐‹๐ข๐ง๐ž๐š๐ซ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง๐ฌ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 22ะ”ะตะฝัŒ ะฝะฐะทะฐะด
In this video, I provide the proof for the Cramer's Rule which uses properties of determinant to solve the system of linear equations. Hope you will enjoy. Pre-requisite/Mandatory to watch: ruclips.net/video/Mj9pL5nj0HQ/ะฒะธะดะตะพ.htmlsi=PjK7VYK2XI54ku2u More to Watch: ruclips.net/video/9vssnm4q3GA/ะฒะธะดะตะพ.htmlsi=Vy9wNViuR9D-5jn_ Evaluating Determinant: ruclips.net/video/HautaMfdrFs/ะฒะธะดะตะพ.htmlsi=gIE_c...
๐„๐ฏ๐š๐ฅ๐ฎ๐š๐ญ๐ข๐ง๐  ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ ๐›๐ฒ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š9:21๐„๐ฏ๐š๐ฅ๐ฎ๐š๐ญ๐ข๐ง๐  ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ ๐›๐ฒ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
๐„๐ฏ๐š๐ฅ๐ฎ๐š๐ญ๐ข๐ง๐  ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ ๐›๐ฒ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
ะŸั€ะพัะผะพั‚ั€ะพะฒ 9ะ”ะตะฝัŒ ะฝะฐะทะฐะด
In this video, I apply the properties of determinant to evaluate the determinant of given matrix. Hope you will enjoy. Pre-requisite/Mandatory to watch: ruclips.net/video/Mj9pL5nj0HQ/ะฒะธะดะตะพ.htmlsi=PjK7VYK2XI54ku2u More to Watch: ruclips.net/video/9vssnm4q3GA/ะฒะธะดะตะพ.htmlsi=Vy9wNViuR9D-5jn_ Matrix: ruclips.net/video/MbxZxPMEdCg/ะฒะธะดะตะพ.htmlsi=mF8q7blAg7uyLcpu #bhutan #dailyconcepts #mathematics #redd...
๐๐š๐ญ๐ฎ๐ซ๐ž ๐จ๐Ÿ ๐ญ๐ก๐ž ๐ซ๐จ๐จ๐ญ๐ฌ ๐Ÿ๐ซ๐จ๐ฆ ๐ญ๐ก๐ž ๐ƒ๐ข๐ฌ๐œ๐ซ๐ข๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐๐ฎ๐š๐๐ซ๐š๐ญ๐ข๐œ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง | ๐€๐ฅ๐ ๐ž๐›๐ซ๐š10:22๐๐š๐ญ๐ฎ๐ซ๐ž ๐จ๐Ÿ ๐ญ๐ก๐ž ๐ซ๐จ๐จ๐ญ๐ฌ ๐Ÿ๐ซ๐จ๐ฆ ๐ญ๐ก๐ž ๐ƒ๐ข๐ฌ๐œ๐ซ๐ข๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐๐ฎ๐š๐๐ซ๐š๐ญ๐ข๐œ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง | ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
๐๐š๐ญ๐ฎ๐ซ๐ž ๐จ๐Ÿ ๐ญ๐ก๐ž ๐ซ๐จ๐จ๐ญ๐ฌ ๐Ÿ๐ซ๐จ๐ฆ ๐ญ๐ก๐ž ๐ƒ๐ข๐ฌ๐œ๐ซ๐ข๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐๐ฎ๐š๐๐ซ๐š๐ญ๐ข๐œ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง | ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
ะŸั€ะพัะผะพั‚ั€ะพะฒ 1714 ะดะฝะตะน ะฝะฐะทะฐะด
In this video, I cover on the nature of the roots that can be determined based on the discriminant D=b^2-4ac. The roots can be real, equal, unique, complex as well as purely imaginary. Hope you all will enjoy. Please support this video! Pre-requisite video to watch: ruclips.net/video/vuTYSwfohdg/ะฒะธะดะตะพ.htmlsi=LWT-sG3lyjrVpzR5 #bhutan #dailyconcepts #mathematics #reddit #calculus #linearalgebra #...
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐จ๐ง ๐จ๐Ÿ ๐ซ๐จ๐จ๐ญ ๐Ÿ๐จ๐ซ๐ฆ๐ฎ๐ฅ๐š | ๐๐ฎ๐š๐๐ซ๐š๐ญ๐ข๐œ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง | ๐€๐ฅ๐ ๐ž๐›๐ซ๐š16:01๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐จ๐ง ๐จ๐Ÿ ๐ซ๐จ๐จ๐ญ ๐Ÿ๐จ๐ซ๐ฆ๐ฎ๐ฅ๐š | ๐๐ฎ๐š๐๐ซ๐š๐ญ๐ข๐œ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง | ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐จ๐ง ๐จ๐Ÿ ๐ซ๐จ๐จ๐ญ ๐Ÿ๐จ๐ซ๐ฆ๐ฎ๐ฅ๐š | ๐๐ฎ๐š๐๐ซ๐š๐ญ๐ข๐œ ๐„๐ช๐ฎ๐š๐ญ๐ข๐จ๐ง | ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
ะŸั€ะพัะผะพั‚ั€ะพะฒ 1114 ะดะฝะตะน ะฝะฐะทะฐะด
In this video, I derive the formula for the roots of the quadratic equation. This is actually completing the squares from the standard form of quadratic equation. Hope you all will enjoy. #bhutan #dailyconcepts #mathematics #reddit #calculus #linearalgebra #instagram Links(my other videos and blog): Google Scholar: scholar.google.com/citations?view_op=list_works&hl=en&hl=en&user=A7MmWIsAAAAJ Re...
๐’๐ข๐ฆ๐ฉ๐ฅ๐ž ๐›๐ฎ๐ญ ๐ฅ๐จ๐ง๐  ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ4:34๐’๐ข๐ฆ๐ฉ๐ฅ๐ž ๐›๐ฎ๐ญ ๐ฅ๐จ๐ง๐  ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐’๐ข๐ฆ๐ฉ๐ฅ๐ž ๐›๐ฎ๐ญ ๐ฅ๐จ๐ง๐  ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 1214 ะดะฝะตะน ะฝะฐะทะฐะด
In this video, I integrate simple but long integral involving simplification of integrand by using reciprocal trigonometric relationships. Hope you will enjoy. #bhutan #dailyconcepts #mathematics #reddit #calculus #linearalgebra #instagram Links(my other videos and blog): Google Scholar: scholar.google.com/citations?view_op=list_works&hl=en&hl=en&user=A7MmWIsAAAAJ Researchgate: www.researchgate...
๐€๐ฉ๐ฉ๐ฅ๐ฒ๐ข๐ง๐  ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ ๐จ๐Ÿ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐Œ๐š๐ญ๐ซ๐ข๐œ๐ž๐ฌ11:22๐€๐ฉ๐ฉ๐ฅ๐ฒ๐ข๐ง๐  ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ ๐จ๐Ÿ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐Œ๐š๐ญ๐ซ๐ข๐œ๐ž๐ฌ
๐€๐ฉ๐ฉ๐ฅ๐ฒ๐ข๐ง๐  ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ ๐จ๐Ÿ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐Œ๐š๐ญ๐ซ๐ข๐œ๐ž๐ฌ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 2614 ะดะฝะตะน ะฝะฐะทะฐะด
๐€๐ฉ๐ฉ๐ฅ๐ฒ๐ข๐ง๐  ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ ๐จ๐Ÿ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐Œ๐š๐ญ๐ซ๐ข๐œ๐ž๐ฌ
๐ˆ๐ฆ๐ฉ๐จ๐ซ๐ญ๐š๐ง๐ญ ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ ๐จ๐Ÿ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š14:02๐ˆ๐ฆ๐ฉ๐จ๐ซ๐ญ๐š๐ง๐ญ ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ ๐จ๐Ÿ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
๐ˆ๐ฆ๐ฉ๐จ๐ซ๐ญ๐š๐ง๐ญ ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ ๐จ๐Ÿ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
ะŸั€ะพัะผะพั‚ั€ะพะฒ 1021 ะดะตะฝัŒ ะฝะฐะทะฐะด
๐ˆ๐ฆ๐ฉ๐จ๐ซ๐ญ๐š๐ง๐ญ ๐๐ซ๐จ๐ฉ๐ž๐ซ๐ญ๐ข๐ž๐ฌ ๐จ๐Ÿ ๐ƒ๐ž๐ญ๐ž๐ซ๐ฆ๐ข๐ง๐š๐ง๐ญ | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š
๐†๐š๐ฎ๐ฌ๐ฌ-๐‰๐จ๐ซ๐๐š๐ง ๐„๐ฅ๐ข๐ฆ๐ข๐ง๐š๐ญ๐ข๐จ๐ง | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐‹๐ข๐ง๐ž๐š๐ซ ๐’๐ฒ๐ฌ๐ญ๐ž๐ฆ๐ฌ10:23๐†๐š๐ฎ๐ฌ๐ฌ-๐‰๐จ๐ซ๐๐š๐ง ๐„๐ฅ๐ข๐ฆ๐ข๐ง๐š๐ญ๐ข๐จ๐ง | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐‹๐ข๐ง๐ž๐š๐ซ ๐’๐ฒ๐ฌ๐ญ๐ž๐ฆ๐ฌ
๐†๐š๐ฎ๐ฌ๐ฌ-๐‰๐จ๐ซ๐๐š๐ง ๐„๐ฅ๐ข๐ฆ๐ข๐ง๐š๐ญ๐ข๐จ๐ง | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐‹๐ข๐ง๐ž๐š๐ซ ๐’๐ฒ๐ฌ๐ญ๐ž๐ฆ๐ฌ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 3221 ะดะตะฝัŒ ะฝะฐะทะฐะด
๐†๐š๐ฎ๐ฌ๐ฌ-๐‰๐จ๐ซ๐๐š๐ง ๐„๐ฅ๐ข๐ฆ๐ข๐ง๐š๐ญ๐ข๐จ๐ง | ๐‹๐ข๐ง๐ž๐š๐ซ ๐€๐ฅ๐ ๐ž๐›๐ซ๐š | ๐‹๐ข๐ง๐ž๐š๐ซ ๐’๐ฒ๐ฌ๐ญ๐ž๐ฆ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ข๐ง๐ฑ^๐ฌ๐ข๐ง๐ฑ^๐ฌ๐ข๐ง๐ฑ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ6:31๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ข๐ง๐ฑ^๐ฌ๐ข๐ง๐ฑ^๐ฌ๐ข๐ง๐ฑ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ข๐ง๐ฑ^๐ฌ๐ข๐ง๐ฑ^๐ฌ๐ข๐ง๐ฑ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 31ะœะตััั† ะฝะฐะทะฐะด
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ข๐ง๐ฑ^๐ฌ๐ข๐ง๐ฑ^๐ฌ๐ข๐ง๐ฑ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐„๐ฏ๐š๐ฅ๐ฎ๐š๐ญ๐ข๐จ๐ง ๐จ๐Ÿ ๐ˆ๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ: โˆซ๐Ÿ-๐ญ๐š๐ง^๐Ÿ’(๐ฑ)๐๐ฑ (๐Ÿ๐ซ๐จ๐ฆ ๐ŸŽ ๐ญ๐จ \\๐ฉ๐ข/๐Ÿ’) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ5:44๐„๐ฏ๐š๐ฅ๐ฎ๐š๐ญ๐ข๐จ๐ง ๐จ๐Ÿ ๐ˆ๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ: โˆซ๐Ÿ-๐ญ๐š๐ง^๐Ÿ’(๐ฑ)๐๐ฑ (๐Ÿ๐ซ๐จ๐ฆ ๐ŸŽ ๐ญ๐จ \\๐ฉ๐ข/๐Ÿ’) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐„๐ฏ๐š๐ฅ๐ฎ๐š๐ญ๐ข๐จ๐ง ๐จ๐Ÿ ๐ˆ๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ: โˆซ๐Ÿ-๐ญ๐š๐ง^๐Ÿ’(๐ฑ)๐๐ฑ (๐Ÿ๐ซ๐จ๐ฆ ๐ŸŽ ๐ญ๐จ \\๐ฉ๐ข/๐Ÿ’) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 27ะœะตััั† ะฝะฐะทะฐะด
๐„๐ฏ๐š๐ฅ๐ฎ๐š๐ญ๐ข๐จ๐ง ๐จ๐Ÿ ๐ˆ๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ: โˆซ๐Ÿ-๐ญ๐š๐ง^๐Ÿ’(๐ฑ)๐๐ฑ (๐Ÿ๐ซ๐จ๐ฆ ๐ŸŽ ๐ญ๐จ \\๐ฉ๐ข/๐Ÿ’) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฑ^๐ฑ^๐ฑ^๐ฑ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐ƒ๐ข๐Ÿ๐Ÿ๐ž๐ซ๐ž๐ง๐ญ๐ข๐š๐ญ๐ข๐จ๐ง10:10๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฑ^๐ฑ^๐ฑ^๐ฑ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐ƒ๐ข๐Ÿ๐Ÿ๐ž๐ซ๐ž๐ง๐ญ๐ข๐š๐ญ๐ข๐จ๐ง
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฑ^๐ฑ^๐ฑ^๐ฑ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐ƒ๐ข๐Ÿ๐Ÿ๐ž๐ซ๐ž๐ง๐ญ๐ข๐š๐ญ๐ข๐จ๐ง
ะŸั€ะพัะผะพั‚ั€ะพะฒ 19ะœะตััั† ะฝะฐะทะฐะด
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฑ^๐ฑ^๐ฑ^๐ฑ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐ƒ๐ข๐Ÿ๐Ÿ๐ž๐ซ๐ž๐ง๐ญ๐ข๐š๐ญ๐ข๐จ๐ง
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ฌ๐ž๐œ(๐ฑ) = - ๐œ๐จ๐ฌ๐ž๐œ(๐ฑ)๐œ๐จ๐ญ(๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ4:43๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ฌ๐ž๐œ(๐ฑ) = - ๐œ๐จ๐ฌ๐ž๐œ(๐ฑ)๐œ๐จ๐ญ(๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ฌ๐ž๐œ(๐ฑ) = - ๐œ๐จ๐ฌ๐ž๐œ(๐ฑ)๐œ๐จ๐ญ(๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 43ะœะตััั† ะฝะฐะทะฐะด
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ฌ๐ž๐œ(๐ฑ) = - ๐œ๐จ๐ฌ๐ž๐œ(๐ฑ)๐œ๐จ๐ญ(๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ž๐œ(๐ฑ) = ๐ฌ๐ž๐œ(๐ฑ)๐ญ๐š๐ง(๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ5:36๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ž๐œ(๐ฑ) = ๐ฌ๐ž๐œ(๐ฑ)๐ญ๐š๐ง(๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ž๐œ(๐ฑ) = ๐ฌ๐ž๐œ(๐ฑ)๐ญ๐š๐ง(๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 31ะœะตััั† ะฝะฐะทะฐะด
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ž๐œ(๐ฑ) = ๐ฌ๐ž๐œ(๐ฑ)๐ญ๐š๐ง(๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ญ(๐ฑ) = - ๐œ๐จ๐ฌ๐ž๐œ^๐Ÿ (๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ6:42๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ญ(๐ฑ) = - ๐œ๐จ๐ฌ๐ž๐œ^๐Ÿ (๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ญ(๐ฑ) = - ๐œ๐จ๐ฌ๐ž๐œ^๐Ÿ (๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 11ะœะตััั† ะฝะฐะทะฐะด
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ญ(๐ฑ) = - ๐œ๐จ๐ฌ๐ž๐œ^๐Ÿ (๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐…๐ข๐ซ๐ฌ๐ญ ๐๐ซ๐ข๐ง๐œ๐ข๐ฉ๐ฅ๐ž | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ญ๐š๐ง(๐ฑ) = ๐ฌ๐ž๐œ^๐Ÿ (๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ6:29๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ญ๐š๐ง(๐ฑ) = ๐ฌ๐ž๐œ^๐Ÿ (๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ญ๐š๐ง(๐ฑ) = ๐ฌ๐ž๐œ^๐Ÿ (๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 19ะœะตััั† ะฝะฐะทะฐะด
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ญ๐š๐ง(๐ฑ) = ๐ฌ๐ž๐œ^๐Ÿ (๐ฑ) | ๐๐ซ๐จ๐จ๐Ÿ | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ฌ(๐ฑ) = - ๐ฌ๐ข๐ง(๐ฑ) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐๐ซ๐จ๐จ๐Ÿ5:04๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ฌ(๐ฑ) = - ๐ฌ๐ข๐ง(๐ฑ) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐๐ซ๐จ๐จ๐Ÿ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ฌ(๐ฑ) = - ๐ฌ๐ข๐ง(๐ฑ) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐๐ซ๐จ๐จ๐Ÿ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 21ะœะตััั† ะฝะฐะทะฐะด
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐œ๐จ๐ฌ(๐ฑ) = - ๐ฌ๐ข๐ง(๐ฑ) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐๐ซ๐จ๐จ๐Ÿ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ข๐ง(๐ฑ) = ๐œ๐จ๐ฌ(๐ฑ) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐๐ซ๐จ๐จ๐Ÿ6:29๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ข๐ง(๐ฑ) = ๐œ๐จ๐ฌ(๐ฑ) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐๐ซ๐จ๐จ๐Ÿ
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ข๐ง(๐ฑ) = ๐œ๐จ๐ฌ(๐ฑ) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐๐ซ๐จ๐จ๐Ÿ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 13ะœะตััั† ะฝะฐะทะฐะด
๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐จ๐Ÿ ๐ฌ๐ข๐ง(๐ฑ) = ๐œ๐จ๐ฌ(๐ฑ) | ๐‚๐š๐ฅ๐œ๐ฎ๐ฅ๐ฎ๐ฌ | ๐๐ซ๐จ๐จ๐Ÿ
๐ˆ๐๐ค ๐ฐ๐ก๐š๐ญ ๐ˆ๐ฆ ๐๐จ๐ข๐ง๐  ๐ฐ๐ซ๐จ๐ง๐  | ๐‘๐ž๐๐๐ข๐ญ | ๐๐ฎ๐š๐๐ซ๐š๐ญ๐ซ๐ข๐œ ๐Ÿ๐ฎ๐ง๐œ๐ญ๐ข๐จ๐ง๐ฌ14:09๐ˆ๐๐ค ๐ฐ๐ก๐š๐ญ ๐ˆ๐ฆ ๐๐จ๐ข๐ง๐  ๐ฐ๐ซ๐จ๐ง๐  | ๐‘๐ž๐๐๐ข๐ญ | ๐๐ฎ๐š๐๐ซ๐š๐ญ๐ซ๐ข๐œ ๐Ÿ๐ฎ๐ง๐œ๐ญ๐ข๐จ๐ง๐ฌ
๐ˆ๐๐ค ๐ฐ๐ก๐š๐ญ ๐ˆ๐ฆ ๐๐จ๐ข๐ง๐  ๐ฐ๐ซ๐จ๐ง๐  | ๐‘๐ž๐๐๐ข๐ญ | ๐๐ฎ๐š๐๐ซ๐š๐ญ๐ซ๐ข๐œ ๐Ÿ๐ฎ๐ง๐œ๐ญ๐ข๐จ๐ง๐ฌ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 132 ะผะตััั†ะฐ ะฝะฐะทะฐะด
๐ˆ๐๐ค ๐ฐ๐ก๐š๐ญ ๐ˆ๐ฆ ๐๐จ๐ข๐ง๐  ๐ฐ๐ซ๐จ๐ง๐  | ๐‘๐ž๐๐๐ข๐ญ | ๐๐ฎ๐š๐๐ซ๐š๐ญ๐ซ๐ข๐œ ๐Ÿ๐ฎ๐ง๐œ๐ญ๐ข๐จ๐ง๐ฌ
๐๐ซ๐จ๐จ๐Ÿ ๐จ๐Ÿ ๐ฅ๐ข๐ฆ[{๐ฌ๐ข๐ง๐ฑ}/๐ฑ] & ๐ฅ๐ข๐ฆ[{๐Ÿ-๐œ๐จ๐ฌ๐ฑ}/๐ฑ] ๐ฐ๐ก๐ž๐ง ๐ฑ ๐ ๐จ๐ž๐ฌ ๐ญ๐จ ๐ŸŽ | ๐๐š๐ซ๐ญ ๐Ÿ | ๐†๐ž๐จ๐ฆ๐ž๐ญ๐ซ๐ข๐œ๐š๐ฅ ๐๐ซ๐จ๐จ๐Ÿ15:12๐๐ซ๐จ๐จ๐Ÿ ๐จ๐Ÿ ๐ฅ๐ข๐ฆ[{๐ฌ๐ข๐ง๐ฑ}/๐ฑ] & ๐ฅ๐ข๐ฆ[{๐Ÿ-๐œ๐จ๐ฌ๐ฑ}/๐ฑ] ๐ฐ๐ก๐ž๐ง ๐ฑ ๐ ๐จ๐ž๐ฌ ๐ญ๐จ ๐ŸŽ | ๐๐š๐ซ๐ญ ๐Ÿ | ๐†๐ž๐จ๐ฆ๐ž๐ญ๐ซ๐ข๐œ๐š๐ฅ ๐๐ซ๐จ๐จ๐Ÿ
๐๐ซ๐จ๐จ๐Ÿ ๐จ๐Ÿ ๐ฅ๐ข๐ฆ[{๐ฌ๐ข๐ง๐ฑ}/๐ฑ] & ๐ฅ๐ข๐ฆ[{๐Ÿ-๐œ๐จ๐ฌ๐ฑ}/๐ฑ] ๐ฐ๐ก๐ž๐ง ๐ฑ ๐ ๐จ๐ž๐ฌ ๐ญ๐จ ๐ŸŽ | ๐๐š๐ซ๐ญ ๐Ÿ | ๐†๐ž๐จ๐ฆ๐ž๐ญ๐ซ๐ข๐œ๐š๐ฅ ๐๐ซ๐จ๐จ๐Ÿ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 852 ะผะตััั†ะฐ ะฝะฐะทะฐะด
๐๐ซ๐จ๐จ๐Ÿ ๐จ๐Ÿ ๐ฅ๐ข๐ฆ[{๐ฌ๐ข๐ง๐ฑ}/๐ฑ] & ๐ฅ๐ข๐ฆ[{๐Ÿ-๐œ๐จ๐ฌ๐ฑ}/๐ฑ] ๐ฐ๐ก๐ž๐ง ๐ฑ ๐ ๐จ๐ž๐ฌ ๐ญ๐จ ๐ŸŽ | ๐๐š๐ซ๐ญ ๐Ÿ | ๐†๐ž๐จ๐ฆ๐ž๐ญ๐ซ๐ข๐œ๐š๐ฅ ๐๐ซ๐จ๐จ๐Ÿ
๐๐ซ๐จ๐จ๐Ÿ ๐จ๐Ÿ ๐ฅ๐ข๐ฆ[{๐ฌ๐ข๐ง๐ฑ}/๐ฑ] & ๐ฅ๐ข๐ฆ[{๐Ÿ-๐œ๐จ๐ฌ๐ฑ}/๐ฑ] ๐ฐ๐ก๐ž๐ง ๐ฑ ๐ ๐จ๐ž๐ฌ ๐ญ๐จ ๐ŸŽ | ๐๐š๐ซ๐ญ ๐Ÿ | ๐†๐ž๐จ๐ฆ๐ž๐ญ๐ซ๐ข๐œ๐š๐ฅ ๐๐ซ๐จ๐จ๐Ÿ6:09๐๐ซ๐จ๐จ๐Ÿ ๐จ๐Ÿ ๐ฅ๐ข๐ฆ[{๐ฌ๐ข๐ง๐ฑ}/๐ฑ] & ๐ฅ๐ข๐ฆ[{๐Ÿ-๐œ๐จ๐ฌ๐ฑ}/๐ฑ] ๐ฐ๐ก๐ž๐ง ๐ฑ ๐ ๐จ๐ž๐ฌ ๐ญ๐จ ๐ŸŽ | ๐๐š๐ซ๐ญ ๐Ÿ | ๐†๐ž๐จ๐ฆ๐ž๐ญ๐ซ๐ข๐œ๐š๐ฅ ๐๐ซ๐จ๐จ๐Ÿ
๐๐ซ๐จ๐จ๐Ÿ ๐จ๐Ÿ ๐ฅ๐ข๐ฆ[{๐ฌ๐ข๐ง๐ฑ}/๐ฑ] & ๐ฅ๐ข๐ฆ[{๐Ÿ-๐œ๐จ๐ฌ๐ฑ}/๐ฑ] ๐ฐ๐ก๐ž๐ง ๐ฑ ๐ ๐จ๐ž๐ฌ ๐ญ๐จ ๐ŸŽ | ๐๐š๐ซ๐ญ ๐Ÿ | ๐†๐ž๐จ๐ฆ๐ž๐ญ๐ซ๐ข๐œ๐š๐ฅ ๐๐ซ๐จ๐จ๐Ÿ
ะŸั€ะพัะผะพั‚ั€ะพะฒ 352 ะผะตััั†ะฐ ะฝะฐะทะฐะด
๐๐ซ๐จ๐จ๐Ÿ ๐จ๐Ÿ ๐ฅ๐ข๐ฆ[{๐ฌ๐ข๐ง๐ฑ}/๐ฑ] & ๐ฅ๐ข๐ฆ[{๐Ÿ-๐œ๐จ๐ฌ๐ฑ}/๐ฑ] ๐ฐ๐ก๐ž๐ง ๐ฑ ๐ ๐จ๐ž๐ฌ ๐ญ๐จ ๐ŸŽ | ๐๐š๐ซ๐ญ ๐Ÿ | ๐†๐ž๐จ๐ฆ๐ž๐ญ๐ซ๐ข๐œ๐š๐ฅ ๐๐ซ๐จ๐จ๐Ÿ

ะšะพะผะผะตะฝั‚ะฐั€ะธะธ

  • @singyestudio608
    @singyestudio608 9 ั‡ะฐัะพะฒ ะฝะฐะทะฐะด

    road to 450 subs!

  • @singyestudio608
    @singyestudio608 10 ั‡ะฐัะพะฒ ะฝะฐะทะฐะด

    Road 450 subs!

  • @singyestudio608
    @singyestudio608 10 ั‡ะฐัะพะฒ ะฝะฐะทะฐะด

    Support!

  • @singyestudio608
    @singyestudio608 4 ะดะฝั ะฝะฐะทะฐะด

    Road to 450 subs!

  • @sunkymathsclass
    @sunkymathsclass 4 ะดะฝั ะฝะฐะทะฐะด

    Keep it up bro, loved your videos

    • @singyestudio608
      @singyestudio608 4 ะดะฝั ะฝะฐะทะฐะด

      @@sunkymathsclass thanks man! It means a lot to me!

  • @singyestudio608
    @singyestudio608 4 ะดะฝั ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 4 ะดะฝั ะฝะฐะทะฐะด

    Road to 450 subs!

  • @ugyendema2775
    @ugyendema2775 4 ะดะฝั ะฝะฐะทะฐะด

    Chabsue Choe ๐Ÿ™ ๐Ÿ™‡๐Ÿปโ€โ™€๏ธ๐Ÿ™‡๐Ÿปโ€โ™€๏ธ๐Ÿ™‡๐Ÿปโ€โ™€๏ธ

    • @singyestudio608
      @singyestudio608 10 ั‡ะฐัะพะฒ ะฝะฐะทะฐะด

      Thanks for watching la.

  • @singyestudio608
    @singyestudio608 6 ะดะฝะตะน ะฝะฐะทะฐะด

    Road t0 450 subs!

  • @singyestudio608
    @singyestudio608 9 ะดะฝะตะน ะฝะฐะทะฐะด

    Road to 450 subs!

  • @olasunkanmibakinde5496
    @olasunkanmibakinde5496 10 ะดะฝะตะน ะฝะฐะทะฐะด

    Fantastic ๐Ÿ‘

    • @singyestudio608
      @singyestudio608 9 ะดะฝะตะน ะฝะฐะทะฐะด

      Thanks for watching. Keep supporting!

  • @singyestudio608
    @singyestudio608 10 ะดะฝะตะน ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 10 ะดะฝะตะน ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 11 ะดะฝะตะน ะฝะฐะทะฐะด

    Road to 450 subs!

  • @sunkymathsclass
    @sunkymathsclass 11 ะดะฝะตะน ะฝะฐะทะฐะด

    Amazing matrix problem, keep it up bro

    • @singyestudio608
      @singyestudio608 11 ะดะฝะตะน ะฝะฐะทะฐะด

      Thank you, I will. I enjoy learning about matrix.

  • @singyestudio608
    @singyestudio608 11 ะดะฝะตะน ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 15 ะดะฝะตะน ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 15 ะดะฝะตะน ะฝะฐะทะฐะด

    Road to 450 Subs!

  • @sunkymathsclass
    @sunkymathsclass 17 ะดะฝะตะน ะฝะฐะทะฐะด

    Nice one bro, keep it up I just subscribed now

    • @singyestudio608
      @singyestudio608 16 ะดะฝะตะน ะฝะฐะทะฐะด

      Thank you so much brother for the support!

  • @singyestudio608
    @singyestudio608 20 ะดะฝะตะน ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 20 ะดะฝะตะน ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 23 ะดะฝั ะฝะฐะทะฐะด

    Roads to 450 subs!

  • @singyestudio608
    @singyestudio608 23 ะดะฝั ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 ะœะตััั† ะฝะฐะทะฐะด

    Correction! The factor form of quadratic equation is y=a(x+p)(x+q) where p & q are roots(or zeros). In the video, I missed "a" which is same parameter in both standard form and vertex form. It is shape factor which determine how wide or narrow the curve is as well as decides whether it upward or downward parabola. Sorry for the mistake.

  • @singyestudio608
    @singyestudio608 ะœะตััั† ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 ะœะตััั† ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 ะœะตััั† ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 ะœะตััั† ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 ะœะตััั† ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 ะœะตััั† ะฝะฐะทะฐะด

    Riad to 450 subs!

  • @singyestudio608
    @singyestudio608 ะœะตััั† ะฝะฐะทะฐะด

    Road t0 450 subs!

  • @singyestudio608
    @singyestudio608 ะœะตััั† ะฝะฐะทะฐะด

    Road t0 450 subs!

  • @singyestudio608
    @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Road to 450 subs!

  • @KeyserTheRedBeard
    @KeyserTheRedBeard 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Great video, ๐’๐ˆ๐๐†๐˜๐„ ๐’๐ญ๐ฎ๐๐ข๐จ. Looking forward to your next upload! I smashed that thumbs up button on your content. Keep up the amazing work! Your breakdown of the quotient rule was very clear. How do you think this rule applies in more complex functions, especially when combined with implicit differentiation?

    • @singyestudio608
      @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

      Thanks for stopping by. The quotient rule still works for the implicit differentiation but one thing to take care about is the chain rule. We shouldn't forget it. For example if we have (2x/y) =3; (simple form), then if we want to find dyldx: 1. We can do implicit differentiation using quotient rule as: 1/y^2* {y2(1) - 2xdy/dx}=0 xdy/dx=y dy/dx=y/x. Just we shouldn't forget the chain rule even in implicit differentiation. 2. Other way: 2x=3y 2=3dy/dx dy/dx=2/3. Though (1) and (2) may look different, they are indeed equal and consistent. In (1), if you substitute x=3y/2 from the original function, it will yield in (1) as: dy/dx=y*{2/3y}=2/3 which corresponds to (2).

  • @singyestudio608
    @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Support!

  • @singyestudio608
    @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Support ๐ŸŽ‰.

  • @singyestudio608
    @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Support!

  • @singyestudio608
    @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Subscribe!

  • @TsheringDeki-ir8yp
    @TsheringDeki-ir8yp 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Wow..kaya baat hai..๐ŸŒŸ๐Ÿ‘Œ๐Ÿ‘Œ

    • @singyestudio608
      @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

      Thanks for watching la. Keep supporting la.

  • @singyestudio608
    @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Road to 450 subs!

  • @IconicMamba
    @IconicMamba 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Ata how about creating a playlist for 12 maths

    • @singyestudio608
      @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

      I am discussing syllabus with one of my teachers. I will make la.

  • @singyestudio608
    @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Road to 450 subs!

  • @singyestudio608
    @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Support !

  • @singyestudio608
    @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Support ๐ŸŽ‰!

  • @thinleyjamtsho9687
    @thinleyjamtsho9687 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    Versatile person .... Really appreciate your talent boss

    • @singyestudio608
      @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

      Thank you la. Keep supporting la. Share to your friends to make this channel more visible la. Especially aspiring class 11 and 12 children la.

  • @singyestudio608
    @singyestudio608 2 ะผะตััั†ะฐ ะฝะฐะทะฐะด

    400 subs!