Aspire IQ
Aspire IQ
  • Видео 132
  • Просмотров 10 661
Integral of 1/(sin²x cos²x) dx | CBSE Class 12 NCERT (2 Methods) | Board Exam 2025 Most Expected! 🔥
Integral of 1/(sin²x cos²x) dx | CBSE Class 12 NCERT (2 Methods) | Board Exam 2025 Most Expected!
📢 Integration Chapter - CBSE Class 12 | Learn how to solve ∫ 1 / (sin²x cos²x) dx in a simple and step-by-step manner. This integration problem is important for CBSE Board Exams 2025 and will help in understanding key calculus concepts.
📝 Topics Covered in this Video:
✔️ Step-by-step solution of ∫ 1 / (sin²x cos²x) dx
✔️ Trigonometric identities & transformations used in integration
✔️ Common mistakes students make in integration problems
✔️ Tips & tricks for scoring full marks in CBSE Class 12 Maths
✔️ How to approach integration problems in Board Exams
Integral of 1/sin²x cos²x
CBSE Class 12 NCERT I...
Просмотров: 264

Видео

CBSE Class 12 Maths: Integration of sin⁻¹√(x/(a+x)) | Step-by-Step Solution + Board Exam Tips 🔥8:28CBSE Class 12 Maths: Integration of sin⁻¹√(x/(a+x)) | Step-by-Step Solution + Board Exam Tips 🔥
CBSE Class 12 Maths: Integration of sin⁻¹√(x/(a+x)) | Step-by-Step Solution + Board Exam Tips 🔥
Просмотров 14021 час назад
CBSE Class 12 Maths: Integration of sin⁻¹√(x/(a x)) | Step-by-Step Solution Board Exam Tips 🔥 📘 Master this CBSE Class 12 Maths Integral for 2024-25 Exams! In this video, we solve the integration of sin⁻¹√(x/(1 x)) step-by-step using substitution and integration by parts. Perfect for NCERT-based preparation, JEE Main, or CBSE Board Exams! Integration of sin⁻¹√(x/(1 x)) Class 12 CBSE Class 12 Ma...
Three dimensional geometry class 12 one shot |Revision| Board 202545:48Three dimensional geometry class 12 one shot |Revision| Board 2025
Three dimensional geometry class 12 one shot |Revision| Board 2025
Просмотров 48День назад
Three dimensional geometry class 12 one shot |Revision| Board 2025 🎓 Three-Dimensional Geometry Class 12 | One Shot Revision for Board Exams 2025 Are you ready to conquer 3D Geometry for your Class 12 Boards 2025? This revision video is perfect for students aiming to score high in the CBSE Maths exam. Here's what we'll cover: ✅ Complete 3D Geometry Revision in One Shot Direction Cosines & Ratio...
Integration of |x cosπx| | Class 12 CBSE Maths | Most Important Question for Board Exams 202411:56Integration of |x cosπx| | Class 12 CBSE Maths | Most Important Question for Board Exams 2024
Integration of |x cosπx| | Class 12 CBSE Maths | Most Important Question for Board Exams 2024
Просмотров 51День назад
Integration of |x cosπx| | Class 12 CBSE Maths | Most Important Question for Board Exams 2024 🚀 Master Integration for CBSE Class 12! 🚀 In this video, we break down the tricky problem xCosπx step-by-step with simple explanations and expert tips to help you score full marks in your Class 12 CBSE exams. 🔍 What You’ll Learn: ✅ Easy tricks to solve integration problems. ✅ Complete explanation of xC...
Integration of x(tan⁻¹x)² dx | NCERT Exemplar| Class 1211:19Integration of x(tan⁻¹x)² dx | NCERT Exemplar| Class 12
Integration of x(tan⁻¹x)² dx | NCERT Exemplar| Class 12
Просмотров 10214 дней назад
📚 Integration of x(tan⁻¹x)² dx | NCERT Exemplar Solution | Class 12In this video, we solve the integral ∫x(tan⁻¹x)² dx step-by-step, a challenging question from the NCERT Exemplar (Class 12). This is a perfect example to understand advanced integration techniques like substitution and integration by parts! 💡 ✨ Key Highlights: Step-by-step solution of ∫x(tan⁻¹x)² dx How to apply substitution eff...
Integration class 12 math | Evaluate 0 to 1 integration ∫ e^x / e^[x]4:45Integration class 12 math | Evaluate 0 to 1 integration ∫ e^x / e^[x]
Integration class 12 math | Evaluate 0 to 1 integration ∫ e^x / e^[x]
Просмотров 1614 дней назад
Learn how to solve the integral ∫ e^x / e^[x]dx step by step. Perfect for CBSE Class 12 students preparing for board exams or competitive exams like JEE! In this video, we’ll solve the integral ∫ e^x / e^[x] dx, step by step, with a detailed explanation. This question is important for CBSE Class 12 Maths exams and advanced topics like definite integration. How to handle greatest integer functio...
Evaluate Integration of |x+1| + |x| + |x-1| from -1 to 2 | CBSE Class 128:35Evaluate Integration of |x+1| + |x| + |x-1| from -1 to 2 | CBSE Class 12
Evaluate Integration of |x+1| + |x| + |x-1| from -1 to 2 | CBSE Class 12
Просмотров 4114 дней назад
#cbseclass12mathematics #cbseclass12 #integration Struggling with integration of modulus functions? In this video, we’ll solve the integral of f(x) = |x 1| |x| |x-1| from -1 to 2, step by step. This is a crucial question for CBSE Class 12 Maths exams, as well as for competitive exams like JEE and other entrance tests. How to break modulus functions into piecewise linear segments. Set up and sim...
CBSE Class 12: Find the points at which the function f given by f (x) = (x - 2)^4 (x + 1)^37:10CBSE Class 12: Find the points at which the function f given by f (x) = (x - 2)^4 (x + 1)^3
CBSE Class 12: Find the points at which the function f given by f (x) = (x - 2)^4 (x + 1)^3
Просмотров 1021 день назад
#cbseclass12mathematics #applicationofderivatives #localmaxima Find the points at which the function f given by f (x) = (x - 2)^4 (x 1)^3 has(i) local maxima A complete guide to solving problems on local maxima, minima, and inflection points for CBSE Class 12 exams. Learn the techniques step-by-step and boost your calculus preparation! Are you preparing for CBSE Class 12 Maths? This video expla...
The Maximum value of 1/x^x | CBSE Class 12 Math AOD5:47The Maximum value of 1/x^x | CBSE Class 12 Math AOD
The Maximum value of 1/x^x | CBSE Class 12 Math AOD
Просмотров 4321 день назад
#applicationofderivatives #cbseclass12mathematics #cbseclass12 Discover how to find the maximum value of 1/x^x in this detailed and easy-to-follow tutorial! 🚀 This video is perfect for CBSE Class 11 and 12 students who want to master this unique problem and ace their board exams. We’ll use logarithmic differentiation and critical point analysis to simplify the solution and ensure you understand...
How to Find Local Maxima and Minima of 𝑥^𝑥 | Step-by-Step CBSE Solution7:27How to Find Local Maxima and Minima of 𝑥^𝑥 | Step-by-Step CBSE Solution
How to Find Local Maxima and Minima of 𝑥^𝑥 | Step-by-Step CBSE Solution
Просмотров 4221 день назад
"Learn how to find the local maxima and minima of x^x step-by-step in this detailed explanation! 🌟 Perfect for CBSE Class 11 and 12 students, this video breaks down the solution with logarithmic differentiation, critical points, and second derivative tests to help you understand the behavior of this unique function. Whether you're preparing for your board exams or practicing advanced math probl...
Class 12 AOD: Tackling the Most Lengthy Problem Step-by-Step!14:54Class 12 AOD: Tackling the Most Lengthy Problem Step-by-Step!
Class 12 AOD: Tackling the Most Lengthy Problem Step-by-Step!
Просмотров 2521 день назад
#class12math #applicationofderivatives #cbseclass12 "📐 Unlock the secrets of maximizing the volume of a cylinder inscribed in a cone! With just a few calculations and a clear derivation, you'll see how height relates to one-third of the cone. This is the ultimate math hack you NEED to know!" Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of h...
Find all points of Local maxima and local minima of the function f=3x^4+4x^3-12x^2+127:42Find all points of Local maxima and local minima of the function f=3x^4+4x^3-12x^2+12
Find all points of Local maxima and local minima of the function f=3x^4+4x^3-12x^2+12
Просмотров 8128 дней назад
In this video, I solve a fascinating calculus problem: finding the local maxima and local minima of the even power polynomial function f=3x^4 4x^3-12x^2 12 walk you through step-by-step, starting with finding the derivative, setting it equal to zero, and identifying critical points. Then, I explain how to use the second derivative test to classify these critical points as maxima or minima. 🌟 Hi...
Find all points of Local maxima and local minima of the function f=2x^3-6x^2+6x+58:57Find all points of Local maxima and local minima of the function f=2x^3-6x^2+6x+5
Find all points of Local maxima and local minima of the function f=2x^3-6x^2+6x+5
Просмотров 2628 дней назад
In this video, I solve a fascinating calculus problem: finding the local maxima and local minima of the cubic function f=2x^3_6x^2 6x 5 I walk you through step-by-step, starting with finding the derivative, setting it equal to zero, and identifying critical points. Then, I explain how to use the second derivative test to classify these critical points as maxima or minima. 🌟 Highlights of the Vi...
STOP Struggling with Derivative NCERT Exemplar Questions5:34STOP Struggling with Derivative NCERT Exemplar Questions
STOP Struggling with Derivative NCERT Exemplar Questions
Просмотров 20Месяц назад
Prepare effectively for your Class 12 board exams with this video covering highly important 4-mark questions from the Application of Derivatives chapter! These questions are carefully chosen to test your understanding of core concepts like monotonicity, rate of change, and optimization. Through detailed explanations and step-by-step solutions, this video ensures you’re equipped to handle simila...
Find the least value of a such that the function f given by f(x)=x^2+ax+1 is strictly increasing on8:02Find the least value of a such that the function f given by f(x)=x^2+ax+1 is strictly increasing on
Find the least value of a such that the function f given by f(x)=x^2+ax+1 is strictly increasing on
Просмотров 32Месяц назад
Prepare effectively for your Class 12 board exams with this video covering highly important 4-mark questions from the Application of Derivatives chapter! These questions are carefully chosen to test your understanding of core concepts like monotonicity, rate of change, and optimization. Through detailed explanations and step-by-step solutions, this video ensures you’re equipped to handle simila...
Application of derivative COMPETENCY BASED QUESTIONS NCERT CLASS 12 Math4:50Application of derivative COMPETENCY BASED QUESTIONS NCERT CLASS 12 Math
Application of derivative COMPETENCY BASED QUESTIONS NCERT CLASS 12 Math
Просмотров 27Месяц назад
Application of derivative COMPETENCY BASED QUESTIONS NCERT CLASS 12 Math
Why Students Struggle in Application of Integrals (And How to Overcome It!) Part-223:42Why Students Struggle in Application of Integrals (And How to Overcome It!) Part-2
Why Students Struggle in Application of Integrals (And How to Overcome It!) Part-2
Просмотров 16Месяц назад
Why Students Struggle in Application of Integrals (And How to Overcome It!) Part-2
Why Students Struggle in Application of Integrals (And How to Overcome It!)19:26Why Students Struggle in Application of Integrals (And How to Overcome It!)
Why Students Struggle in Application of Integrals (And How to Overcome It!)
Просмотров 26Месяц назад
Why Students Struggle in Application of Integrals (And How to Overcome It!)
Find interval for which f is increasing function.....4 Marks Application of derivative CBSE 202521:54Find interval for which f is increasing function.....4 Marks Application of derivative CBSE 2025
Find interval for which f is increasing function.....4 Marks Application of derivative CBSE 2025
Просмотров 25Месяц назад
Find interval for which f is increasing function.....4 Marks Application of derivative CBSE 2025
Prove that the function f (x) = tanx - 4x is strictly decreasing Application of derivative class 129:44Prove that the function f (x) = tanx - 4x is strictly decreasing Application of derivative class 12
Prove that the function f (x) = tanx - 4x is strictly decreasing Application of derivative class 12
Просмотров 39Месяц назад
Prove that the function f (x) = tanx - 4x is strictly decreasing Application of derivative class 12
Continuity and Differentiability (Exercise 5.2) CBSE CLASS 12 202516:11Continuity and Differentiability (Exercise 5.2) CBSE CLASS 12 2025
Continuity and Differentiability (Exercise 5.2) CBSE CLASS 12 2025
Просмотров 57Месяц назад
Continuity and Differentiability (Exercise 5.2) CBSE CLASS 12 2025
🚀 Master the Chain Rule for Composite Functions | CBSE Class 12 Math Exercise 5.2!14:29🚀 Master the Chain Rule for Composite Functions | CBSE Class 12 Math Exercise 5.2!
🚀 Master the Chain Rule for Composite Functions | CBSE Class 12 Math Exercise 5.2!
Просмотров 38Месяц назад
🚀 Master the Chain Rule for Composite Functions | CBSE Class 12 Math Exercise 5.2!
Mastering Continuity and Differentiability in 7 Days for CBSE 2025 Exam Victory6:44Mastering Continuity and Differentiability in 7 Days for CBSE 2025 Exam Victory
Mastering Continuity and Differentiability in 7 Days for CBSE 2025 Exam Victory
Просмотров 60Месяц назад
Mastering Continuity and Differentiability in 7 Days for CBSE 2025 Exam Victory
Continuity questions of class 12 CBSE 2025 Must Watch!14:18Continuity questions of class 12 CBSE 2025 Must Watch!
Continuity questions of class 12 CBSE 2025 Must Watch!
Просмотров 74Месяц назад
Continuity questions of class 12 CBSE 2025 Must Watch!
Continuity Question of 4 marks CBSE class 12 Math10:17Continuity Question of 4 marks CBSE class 12 Math
Continuity Question of 4 marks CBSE class 12 Math
Просмотров 188Месяц назад
Continuity Question of 4 marks CBSE class 12 Math
How 6174 Traps EVERY Number in 7 Steps (Kaprekar’s Constant)2:18How 6174 Traps EVERY Number in 7 Steps (Kaprekar’s Constant)
How 6174 Traps EVERY Number in 7 Steps (Kaprekar’s Constant)
Просмотров 122Месяц назад
How 6174 Traps EVERY Number in 7 Steps (Kaprekar’s Constant)
Find a if f is continuous function.....4 Marks Continuity and Differentiability CBSE 20259:16Find a if f is continuous function.....4 Marks Continuity and Differentiability CBSE 2025
Find a if f is continuous function.....4 Marks Continuity and Differentiability CBSE 2025
Просмотров 169Месяц назад
Find a if f is continuous function.....4 Marks Continuity and Differentiability CBSE 2025
The function f is continuous at x=0 then k is..continuity and differentiability CBSE 20256:59The function f is continuous at x=0 then k is..continuity and differentiability CBSE 2025
The function f is continuous at x=0 then k is..continuity and differentiability CBSE 2025
Просмотров 36Месяц назад
The function f is continuous at x=0 then k is..continuity and differentiability CBSE 2025
Prove that function f remain discontinuous at x=0, CBSE ,Continuity & differentiability4:32Prove that function f remain discontinuous at x=0, CBSE ,Continuity & differentiability
Prove that function f remain discontinuous at x=0, CBSE ,Continuity & differentiability
Просмотров 39Месяц назад
Prove that function f remain discontinuous at x=0, CBSE ,Continuity & differentiability
Find the values of a and b.... continuity and differentiability CBSE 20254:18Find the values of a and b.... continuity and differentiability CBSE 2025
Find the values of a and b.... continuity and differentiability CBSE 2025
Просмотров 37Месяц назад
Find the values of a and b.... continuity and differentiability CBSE 2025

Комментарии

  • @NitishKumarDas-b7j
    @NitishKumarDas-b7j День назад

    Thank u sir.

  • @AspireIQ
    @AspireIQ 2 дня назад

    3rd Method: sec^2x cosec^2x dx then (1+tan^2x)(1+cot^2x) =2+tan^2x+cot^2x then convert back into sec^2x and cosec^2x then integrate again

  • @AspireIQ
    @AspireIQ 3 дня назад

    pdf notes and questions link drive.google.com/drive/folders/1sfKpzr-cy2VjWZZVYJ_NluiyI5y3bH07?usp=sharing

  • @AspireIQ
    @AspireIQ 3 дня назад

    pdf notes and questions link drive.google.com/drive/folders/1sfKpzr-cy2VjWZZVYJ_NluiyI5y3bH07?usp=sharing

  • @AspireIQ
    @AspireIQ 3 дня назад

    pdf notes and questions link drive.google.com/drive/folders/1sfKpzr-cy2VjWZZVYJ_NluiyI5y3bH07?usp=sharing

  • @AspireIQ
    @AspireIQ 3 дня назад

    pdf notes and questions link drive.google.com/drive/folders/1sfKpzr-cy2VjWZZVYJ_NluiyI5y3bH07?usp=sharing

  • @ArjunSingh-s6n
    @ArjunSingh-s6n 5 дней назад

    Thank u sir

    • @AspireIQ
      @AspireIQ 3 дня назад

      pdf notes and questions link drive.google.com/drive/folders/1sfKpzr-cy2VjWZZVYJ_NluiyI5y3bH07?usp=sharing

  • @Akshit394
    @Akshit394 6 дней назад

    Not for class12 obv.😂

    • @AspireIQ
      @AspireIQ 6 дней назад

      Question is in Ncert Exemplar class 12

  • @AspireIQ
    @AspireIQ 8 дней назад

    Comment below if you want a FREE PDF of "Top 10 Integrals for CBSE 2025"!

  • @AbhishekKumar-si7pm
    @AbhishekKumar-si7pm 9 дней назад

    Rhl tends to infinity and lhl tends to -infinity limit doesn't exist.

    • @AspireIQ
      @AspireIQ 9 дней назад

      Both will be +infinity because of x^2 may be u miss x^2

  • @AbhishekKumar-si7pm
    @AbhishekKumar-si7pm 9 дней назад

    Rhl=1and lhl=-1 .

    • @AspireIQ
      @AspireIQ 9 дней назад

      check once again i think u miss something

    • @AspireIQ
      @AspireIQ 9 дней назад

      RHL=-1 and LHL=1

  • @AbhishekKumar-si7pm
    @AbhishekKumar-si7pm 9 дней назад

    Thank you sir

    • @AspireIQ
      @AspireIQ 9 дней назад

      Most welcome.

  • @AbhishekKumar-si7pm
    @AbhishekKumar-si7pm 9 дней назад

    Main chahta hun issi tarah se sir aap har chapter ke 10-15 most important and good question kra dijiye isse concept clear ho jayega thankyou so much sir.

    • @AspireIQ
      @AspireIQ 9 дней назад

      Sure check my playlist section www.youtube.com/@AspireIQ/playlists

    • @AspireIQ
      @AspireIQ 9 дней назад

      Jaldi hi aapko aur bhi videos milengi jisme acche questions honge,

  • @AbhishekKumar-si7pm
    @AbhishekKumar-si7pm 9 дней назад

    Thank you sir.

  • @AspireIQ
    @AspireIQ Месяц назад

    💡 Class 12 Math Notes: 📥 Download all my Class 12 Math notes here: drive.google.com/drive/folders/1sfKpzr-cy2VjWZZVYJ_NluiyI5y3bH07?usp=drive_link 🔔 Stay tuned! I’ll be uploading more notes in this folder regularly. Don't forget to like, share, and subscribe for more study resources! 🚀

  • @AbhishekKumar-si7pm
    @AbhishekKumar-si7pm Месяц назад

    Sir aise hi har topic ka important questions aur concept banaiye bahut helpful rahega.sir hame notes ka pdf dedo❤❤❤❤ thankyou so much sir 💖💖💖

    • @AspireIQ
      @AspireIQ Месяц назад

      Thank you so much for your kind words! I’m glad you found the video helpful. I’ll look into providing PDF notes for you and others!

    • @AbhishekKumar-si7pm
      @AbhishekKumar-si7pm Месяц назад

      @AspireIQ Thankyou so much sir.

  • @Crorepati-q2i
    @Crorepati-q2i Месяц назад

    I am your new subscriber sir and I am from jharkhand, deoghar, board- cbse

    • @AspireIQ
      @AspireIQ Месяц назад

      Welcome! Best of luck for your exams!

  • @Crorepati-q2i
    @Crorepati-q2i Месяц назад

    Pranam sir

    • @AspireIQ
      @AspireIQ Месяц назад

      U r in which class 12/11?

    • @Crorepati-q2i
      @Crorepati-q2i Месяц назад

      @AspireIQ 12 th

    • @AspireIQ
      @AspireIQ Месяц назад

      ​@Crorepati-q2iNeed any help plz connect with me on telegram group

    • @Crorepati-q2i
      @Crorepati-q2i Месяц назад

      @@AspireIQ sir Application of integrals ke questions me dikkat aati hai agar aap help krr Sako toh please

    • @AspireIQ
      @AspireIQ Месяц назад

      @Crorepati-q2i yes sure please connect with me on Telegram i will take one to one class with you

  • @a_kgaming2629
    @a_kgaming2629 Месяц назад

    Thnk u sir 🙏😊

  • @aguywhoascendedheaven
    @aguywhoascendedheaven Месяц назад

    sir first one

    • @AspireIQ
      @AspireIQ Месяц назад

      Please elaborate?

  • @SafiaSiddiqui-q3g
    @SafiaSiddiqui-q3g 2 месяца назад

    Super

    • @AspireIQ
      @AspireIQ 2 месяца назад

      Glad you liked it!

  • @Sainisarkar4919
    @Sainisarkar4919 2 месяца назад

    🎉🎉

  • @vsk0208
    @vsk0208 2 месяца назад

    Awesome premier

  • @telugutechofficial2783
    @telugutechofficial2783 5 месяцев назад

    Option 3 is correct

    • @AspireIQ
      @AspireIQ 5 месяцев назад

      No b is correct

  • @vsk0208
    @vsk0208 5 месяцев назад

    nice thumbnail

  • @gamerfacts7117
    @gamerfacts7117 5 месяцев назад

    ❤

  • @raveenaSherawat
    @raveenaSherawat 5 месяцев назад

    ❤

  • @AspireIQ
    @AspireIQ 5 месяцев назад

    Ask NDA question with paper code and question number

  • @arnavsingh2559
    @arnavsingh2559 2 года назад

    thankyou so much

  • @elite7585
    @elite7585 2 года назад

    thank you!!! this question was bothering me for so long and now i finally got the explanation

    • @AspireIQ
      @AspireIQ 2 года назад

      How was explanation?

    • @AspireIQ
      @AspireIQ 2 года назад

      Plz rate out of 10

    • @elite7585
      @elite7585 2 года назад

      @@AspireIQ 9/10!

  • @njrjmkm1412
    @njrjmkm1412 2 года назад

    Bro due to some technical issues,I lost my certificate for ICC . So can I download it again from the ISRO website.

    • @AspireIQ
      @AspireIQ 2 года назад

      u can mail them regarding the same

    • @njrjmkm1412
      @njrjmkm1412 2 года назад

      @@AspireIQ ok sir thank you

  • @saranshagrawal664
    @saranshagrawal664 3 года назад

    Badhiya sir jee

  • @vsk0208
    @vsk0208 3 года назад

    Nicely explained !!!!

  • @Dkrecords0
    @Dkrecords0 4 года назад

    ruclips.net/video/1MAVK0VJ0Sw/видео.html Please

  • @Dkrecords0
    @Dkrecords0 4 года назад

    Mara channel suscribe karo

  • @Dkrecords0
    @Dkrecords0 4 года назад

    Sir

  • @interactivemathematicsfora5209
    @interactivemathematicsfora5209 4 года назад

    Great

  • @Vrindavanpower
    @Vrindavanpower 4 года назад

    perfect 👍

  • @ankitvishvakarma9272
    @ankitvishvakarma9272 4 года назад

    covered good questions.

  • @dikshaverma6892
    @dikshaverma6892 4 года назад

    Sir physics chemistry ka v online class le skte h

  • @harishchander9200
    @harishchander9200 4 года назад

    Thanks sar

  • @Dkrecords0
    @Dkrecords0 4 года назад

    Thanks sir

  • @NishaYadav-gc4iw
    @NishaYadav-gc4iw 4 года назад

    Thanks sir for doing this

  • @manjeetyadav7225
    @manjeetyadav7225 4 года назад

    Thanks sir for these question

  • @yashsaraswat3170
    @yashsaraswat3170 4 года назад

    Hi sir pls reply

  • @yashsaraswat3170
    @yashsaraswat3170 4 года назад

    Sir yaad hu ma kya yash takshila

  • @yashsaraswat3170
    @yashsaraswat3170 4 года назад

    Hi sir

  • @Keshavyadav1100
    @Keshavyadav1100 4 года назад

    Nicely explained sir

  • @dravinashkalla2272
    @dravinashkalla2272 4 года назад

    Thank you sir