Further integration - reverse chain rule, exponentials and logs

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  • Опубликовано: 30 янв 2025

Комментарии • 104

  • @Ethanol3310
    @Ethanol3310 3 года назад +77

    Best video on reverse chain rule. Excellent explanation and great coverage of all types of questions. Thank you so much from Australia

  • @SWEETNEZ112
    @SWEETNEZ112 2 года назад +14

    Love your videos. Simple, easy to understand and direct to the point. You are making the fog clear from my eyes when looking at math. Really appreciate the time you put in to produce these videos. Thank you!

    • @StarfishMaths
      @StarfishMaths  2 года назад +1

      Thanks for this lovely and encouraging feedback! All the best with your studies!

    • @AbdulalimAWAD
      @AbdulalimAWAD 5 месяцев назад

      ​@@StarfishMathsThe chain rule always works for derivatives, does it always work for integrals?

    • @AbdulalimAWAD
      @AbdulalimAWAD 5 месяцев назад

      Say we need to integrate sqrt(tanx)

  • @jiangminxie7623
    @jiangminxie7623 2 года назад +10

    This was the best video I have ever watched! Everything makes sense right now, thank u for ur video!

  • @SilentFox109
    @SilentFox109 4 месяца назад +2

    i feel like i was never taught this enough, i mightve seen it at some point in the past but now i need it for differential equations, thank you for teaching it to me

  • @mysteriousdude4549
    @mysteriousdude4549 2 года назад +2

    I was watching so many videos for reverse chain rule even khan and couldn't understand but this helped me understand very well. Thank you!

  • @Maya-vf5yr
    @Maya-vf5yr 4 года назад +12

    This is so incredibly helpful! Thank you so much for spending your time to help others :)

  • @I3readStick
    @I3readStick 16 дней назад

    Literally the best video on reverse chain rule ❤️

  • @babydoll_dest2762
    @babydoll_dest2762 3 года назад +3

    Love your videos they saved my life I was struggling so much and then I found you I’m forever grateful I’m gonna cry you deserve more views so much love 🥰🥰

    • @azizaaljabri2264
      @azizaaljabri2264 3 года назад +1

      same here. i was lost until i found this. it's what's gonna get me that mc donald's job!! i'm so exited to flip burgers and finally fix the ice cream machine!! 😆😆

    • @babydoll_dest2762
      @babydoll_dest2762 3 года назад +2

      @@azizaaljabri2264 Oh, McDonald’s is not the best to work you should try to apply for Burger King you would love it there they are very nice people too well hopefully you get where you wanna go :D

    • @venus-cg5rs
      @venus-cg5rs 3 года назад +2

      Same, honestly this video has changed the way i perceive the world around me it has made me rethink life and what happens after it, i simply can not explain how much this video has helped me

    • @azizaaljabri2264
      @azizaaljabri2264 3 года назад +1

      @@babydoll_dest2762 Thanks for the advice i really appreciate it maybe i could fix the ice cream machine near you someday! 🤪

  • @fadzaigracethamangani8427
    @fadzaigracethamangani8427 Год назад +2

    Thank you mam ,your videos have much helped me 💗💗from Zimbabwe😁 .Am gonna grab me results with distinctions coz of you 💗

  • @star4098
    @star4098 2 года назад

    thanks for making things really clear and easy to understand.
    good technique for solving mcqs 👍
    love from bangladesh 🇧🇩

  • @Senugijay
    @Senugijay 3 года назад +5

    Thank you so much this was so helpful. This helped boost my confidence so much. Everything was explained clearly. 🥰🥰🥰

  • @countacymathematics
    @countacymathematics 3 года назад +7

    Excellent explanation.. keep making Maths fun and enjoyable ❤️🌠🌠✨

  • @talm5154
    @talm5154 11 месяцев назад

    this video is so helpful, every semester in college i watch it and i havent found an example where this video hasnt literally prepared me for its crazy, i never learned u-sub and alwyas do this and get the same answer (dont ask how because its kinda similar it just doesnt click lol)

  • @srinivasrao8487
    @srinivasrao8487 2 года назад +1

    In 3:41 why didn't you integrate 8x too?
    Although by differentiating the answer we are getting the correct ans.

    • @nancy5672
      @nancy5672 Год назад

      Hi! I have the same question too, how did you integrate it ? I can’t find the outer function.

  • @georgebestjriii9645
    @georgebestjriii9645 3 года назад +2

    This is gold😍😍.

  • @chrisnweke7912
    @chrisnweke7912 Год назад +1

    Dear Starfish Maths. Thanks for this video. Please can you explain how you got the (5x) denominator in example 3

  • @acvgnkk9834
    @acvgnkk9834 4 года назад +7

    Hi I find your videos vvv useful. Can you kindly make a videos on AS kinematic please i would appreciate it a lot because i only need one video from you for it to make sense to me. Ur my favourite maths teachers I watched your videos on differentiation and kinematic and it made everything soo easy.

  • @kaylinabrahams2799
    @kaylinabrahams2799 2 года назад +2

    by the second example why did you not say (3x+5)^2 and then divide the 6 by 2x3??

  • @moonyoungy2568
    @moonyoungy2568 2 года назад +1

    8:59 why do you multiply the original numerator again?

  • @jackblack2405
    @jackblack2405 3 года назад

    Bruh this video is awesome saved me so much time

  • @caismydreamsfirststep8303
    @caismydreamsfirststep8303 2 года назад +1

    Mam this is good explanation but does product rule apply in integration

  • @LightsCameraandLego
    @LightsCameraandLego 2 года назад +1

    thanks for the easy explaination.

  • @randomiseverything4336
    @randomiseverything4336 18 дней назад

    At 8:24 the derivative of 2x^4 - 3 isnt 4x^3 it is 8x^3 right

  • @MS-qh3iz
    @MS-qh3iz 4 года назад +1

    Thank you for explain it so clearly!!

  • @leepatrick1756
    @leepatrick1756 2 года назад +1

    Very clear. Thanks!

  • @McFlashh
    @McFlashh 2 года назад

    Shouldn’t at 3:35 you use by parts? It’s an algebraic function (8x) times by an exponential function.

    • @antisocialbarbie1587
      @antisocialbarbie1587 Год назад

      I also think 8 should be differentiated in the denominator right?

  • @ED-ix6mq
    @ED-ix6mq Год назад

    Very good explanation, thank you! :)

  • @rajatstudios7970
    @rajatstudios7970 2 года назад

    3:49 Mam, ! Integral e power x = e power x " but i dint understand how " integral 8xe power x square = 8xe power x square" . Mam i am cleat about the outside function and inside function but i wanted to know whats " Integral 8xe power x = ?" because all i have learnt is " Integral 1e power x = e power x ". Please Solve my doubt i would be Thankful. Mam Thank you for this Video. Loved it. Made me clear how to solve ✨♥

  • @erenyeeager
    @erenyeeager 3 года назад +1

    Thnx i understand each and every one from india

  • @martinsclement8352
    @martinsclement8352 3 года назад +3

    Hi I think the second question you missed something the question that has 6sin(3x+5)dx you didn't add to the power and divide by the added power or are we not supposed to do that?

    • @AshleyTyagi
      @AshleyTyagi 3 года назад

      sin intergrates to -cos rather than 1/2sin(x)^2 so all you need to do is take the inside part ie (3x+5) diff -> 3 and divide -> 6/3 * -cos(3x+5) +c

    • @Felicity0011
      @Felicity0011 3 года назад +2

      I think he or she meant the power of the whole function.. Wasn't the n suppose to be 2?

    • @Joel_Wiell
      @Joel_Wiell Год назад

      Yes it was supposed to be 2

  • @danosukuku3930
    @danosukuku3930 Год назад +1

    EXCELLENT

  • @sandynonsoobi6022
    @sandynonsoobi6022 2 года назад

    Thank you much I really needed dis video

  • @YoutubeUniversityStudent-o2g
    @YoutubeUniversityStudent-o2g 2 месяца назад

    Done watching, thanks! ❤

  • @jolyonsage8616
    @jolyonsage8616 4 года назад

    and these videos are super great and easy to understand

  • @davislin4754
    @davislin4754 Год назад

    Thank you so much for this video❤

  • @stacylouisjean2352
    @stacylouisjean2352 2 года назад +1

    hi, love your videos. i would like to know if for example 6 we could use double angle formula?

  • @gazingstars7089
    @gazingstars7089 2 года назад

    10:01 why did u multiply by 2 in denominator?

  • @muluken3390
    @muluken3390 9 месяцев назад +2

    watching this video makes me realize i should’ve paid attention in calc 1.. im so cooked on my calc 2 final😭🙏

    • @remus3775
      @remus3775 3 месяца назад

      How'd you do?

    • @muluken3390
      @muluken3390 3 месяца назад

      @@remus3775 i don’t remember what i got in the test, but i ended up passing the class with an 80.03

    • @remus3775
      @remus3775 3 месяца назад

      @muluken3390 congrats man, how could I do that?

    • @muluken3390
      @muluken3390 3 месяца назад +1

      @@remus3775 i wish i could tell you, honestly im like 99% sure my prof bumped by grade to give me the b. but really it's just about putting in the reps. i still completed a majority of my assignments and would even do some extra studying here and there (i imagine that's why we're all here on this video)

  • @alejandroflores3622
    @alejandroflores3622 2 месяца назад

    Life saver!!

  • @tellmebouts7v7n
    @tellmebouts7v7n 3 месяца назад

    6:02
    where does the (-)ve go ??

  • @sila2667
    @sila2667 9 месяцев назад

    Thank you so much, best video..

  • @gabrielsong6124
    @gabrielsong6124 3 года назад

    really helped me! However, how can be intergrate something in the form of f(x)/f'(x)

  • @leejohnson197733
    @leejohnson197733 2 года назад

    I can do basic versions of these but never know where to start with larger ones, I want to find c in
    vc = vs( 1-e -t/rc )
    I want to learn and understand this and not avoid it

  • @Anthony-jx6fz
    @Anthony-jx6fz Месяц назад

    Thanks so much!

  • @esmaelnasir5699
    @esmaelnasir5699 3 года назад

    Thanks this is helpful for all students

  • @patrikmatousek6246
    @patrikmatousek6246 4 года назад +1

    Very helpful, thank you.

  • @mbalinhlapo9952
    @mbalinhlapo9952 2 года назад

    Very very Very helpful 👍 thank you

  • @ICYMannyS
    @ICYMannyS 2 года назад

    at 7:35 integration of cos is just sin, there is no negative. Just a small mistake.

    • @lohorungpeter
      @lohorungpeter Год назад +1

      We are doing derivative,not integration in that part.

    • @AbdulalimAWAD
      @AbdulalimAWAD 5 месяцев назад

      ​@@lohorungpeterHe's correct tho

    • @animationcity8178
      @animationcity8178 6 дней назад

      @AbdulalimAWAD ICYManny is right, integration of cos is sin but we’re looking for the integration of sin

  • @jeennnnnnnaaaaa
    @jeennnnnnnaaaaa 9 месяцев назад

    thank you soo much for this

  • @_ladymoth_
    @_ladymoth_ 2 года назад

    💗💗💗💗💗 slayyed it

  • @annesneha8583
    @annesneha8583 2 года назад

    WELL EXPLAINED < THANK YOU

  • @martinsclement8352
    @martinsclement8352 3 года назад

    Thanks so much the video is very helpful

  • @martinsclement8352
    @martinsclement8352 3 года назад

    Please add an example that has to do with log and ln

  • @jeyanthikannan135
    @jeyanthikannan135 7 месяцев назад

    Very helpful

  • @solutionresource
    @solutionresource 3 года назад +4

    I didn’t get everything but thank you

  • @VaryprshotOfficial
    @VaryprshotOfficial 3 года назад +2

    im in...love!

  • @momssecretcooks
    @momssecretcooks 10 месяцев назад

    Nice🎉🎉🎉🎉🎉🎉your new subscriber 🎉🎉🎉🎉🎉

  • @kathiravankamaraj9926
    @kathiravankamaraj9926 4 года назад

    It's amazing.

  • @johnpro2847
    @johnpro2847 Месяц назад

    a blue or green screen may assist in a more professional presentation. Other wise it is good content

  • @efremtekhlit8652
    @efremtekhlit8652 3 года назад

    you are amazing
    keep it up

  • @notayush2064
    @notayush2064 3 месяца назад

    Thankss

  • @seremenodion5360
    @seremenodion5360 3 года назад

    Amazing😍

  • @matokurin
    @matokurin 2 года назад

    Great

  • @AmosGIlll
    @AmosGIlll 2 месяца назад

    you are my goat bless your dog

  • @ljnguyen4080
    @ljnguyen4080 3 года назад

    how easy that is?

  • @rahul-ux8mi
    @rahul-ux8mi 3 года назад

    thnx mam!

  • @danadanmasti5280
    @danadanmasti5280 4 года назад +3

    Mam your pet dog is very cute

  • @zuhraaz
    @zuhraaz 4 года назад

    Not bad.

  • @jolyonsage8616
    @jolyonsage8616 4 года назад +1

    I don't understand something 3 years ago u released many videos but finally u released one that got 412K and like 10k Subs......guys 412K that more then most youtube would ever get but then went dark for 3 years to then come back to a less success for account with many add....?????????

  • @mercysibanesihletshuma6221
    @mercysibanesihletshuma6221 4 года назад

    I also do maths tutorials on my channel bt find hard to grow

  • @yolanxolan5583
    @yolanxolan5583 3 года назад +2

    what a cutie

  • @jolyonsage8616
    @jolyonsage8616 4 года назад +1

    ok maybe there are RUclipsrs know with more view but none of them had 412k 4 years ago

  • @jolyonsage8616
    @jolyonsage8616 4 года назад +1

    No offense but if u took ur youtube channel a bit further and say did the syllabus u could make it further then any other youtube teacher as all the other videos anywhere near as good as these require payed memberships