How to integrate e^x sinx using Integration by Parts

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  • Опубликовано: 10 ноя 2024

Комментарии • 64

  • @frenchvanilla343
    @frenchvanilla343 3 года назад +14

    Question: Given the LIATE/LIAET rule, would it have mattered if had switched the variables and assigned sin(x) as u and e^x as v?

  • @jcnotnot8120
    @jcnotnot8120 5 лет назад +2

    Takes talent to explain such a devilish problem so succinctly. Well done.

  • @misterprivate6784
    @misterprivate6784 7 лет назад +30

    thanks a thousand times....I will now go and show calculus no mercy

  • @afreenyousaf2104
    @afreenyousaf2104 7 лет назад +11

    Oh mY God..you have done a great job...nice way of teaching...thanks for solving my problem....Thanks from PAkistan....

  • @phoebuslipton9565
    @phoebuslipton9565 2 года назад +2

    What a wonderful teacher!

  • @trofchik9488
    @trofchik9488 3 года назад

    Thank you a lot, sir. I had to integrate sinx/e^(3x) and the algorithm was pretty much the same as yours.

  • @alieutouray420
    @alieutouray420 Год назад

    Oh! What a brilliant solution!

  • @laarabiwiam6937
    @laarabiwiam6937 5 лет назад +1

    Good job thank you from morocco

  • @m760li4
    @m760li4 2 года назад +1

    Thanks, very well explained.

  • @AlessandraRoggia
    @AlessandraRoggia 3 года назад

    Wow you the best!!!

  • @w.s.o63
    @w.s.o63 6 лет назад

    Congratulations on the video, it helped me a lot. the integral calculation does not continue because it will always repeat the integration by parts. correct ?? thank you.

  • @thalessantana6006
    @thalessantana6006 6 лет назад

    Congrats for this video! very clear!

  • @AdarshKumar-gg4ns
    @AdarshKumar-gg4ns 6 лет назад

    Easily explain thanks for clear my doubts

  • @harunrk_
    @harunrk_ 2 года назад

    thx from TR

  • @justadiamond4961
    @justadiamond4961 5 лет назад +1

    Very helpful, thank you ✨

  • @manvitharamesh5850
    @manvitharamesh5850 4 года назад

    Thank you very much sir

  • @aleksandrab.6305
    @aleksandrab.6305 6 лет назад

    Thank you for video, but I should ask something. Why did we equalize e^x and u? Why not sinx? Thanks from Turkey..

  • @nimeshlokhande163
    @nimeshlokhande163 4 года назад

    thank you so much keep it doing

  • @manojkumarjena7492
    @manojkumarjena7492 4 года назад

    Thanks

  • @rishabhkapoor2283
    @rishabhkapoor2283 4 года назад

    Which reference is good for class 12th physics and chemistry

  • @monirom7393
    @monirom7393 5 лет назад

    Thank you very much

  • @websterndlovu9325
    @websterndlovu9325 7 лет назад +1

    this is clear....thanks

  • @madiyardauletiyarov4559
    @madiyardauletiyarov4559 5 лет назад

    i have subscribed thanks a lot

  • @KatesCooking
    @KatesCooking 7 лет назад +1

    Thank you!

  • @فاطمةيونسحسين
    @فاطمةيونسحسين 5 лет назад

    Brilliant and thanks :)

  • @rayudusatti570
    @rayudusatti570 4 года назад

    Thank you sir...

  • @manoharmanu5078
    @manoharmanu5078 3 года назад +1

    Tq sir

  • @oxygen_123
    @oxygen_123 3 года назад

    Sir how to know e^x is u and sin x is v.?? Please reply sir..

    • @oxygen_123
      @oxygen_123 3 года назад

      How to know when to use ILATE and when not to use ILATE.??

    • @oxygen_123
      @oxygen_123 3 года назад

      Thank you. Sir.!

  • @madiyardauletiyarov4559
    @madiyardauletiyarov4559 5 лет назад

    dear autor, thank you for doing a goood job.But i have a question. Can i let u=sinx in the beginning, or i must do in the way which you showed

    • @aidanpalmer6399
      @aidanpalmer6399 5 лет назад +1

      Madiyar Dauletiyarov you can do either way

    • @صالحالشريف-ث8و
      @صالحالشريف-ث8و Год назад

      ​​@@aidanpalmer6399 قمت بجعل u=sinx لكن الناتج لدي مختلف عما بالفيديو من جانب الاشارات (+/-)
      قم بتجريب ذلك وأخبرني ماذا سيحصل من فضلك

  • @omprakashnarendra9717
    @omprakashnarendra9717 5 лет назад

    Hey you are supposed to take sin x as u

  • @rosangeltejeda9557
    @rosangeltejeda9557 7 лет назад +2

    Great!

  • @didyouseemylachimolala412
    @didyouseemylachimolala412 4 года назад +1

    I have an doubt, according to I L A T E RULE u should be sinx

  • @husaingaur9485
    @husaingaur9485 5 лет назад

    Thanxx sir

  • @hea1768
    @hea1768 3 года назад

    Bro how to solve
    Intergration (t - 1÷t)^2 dt .

  • @lalitmeena9784
    @lalitmeena9784 4 года назад

    Sir Can you tell me......
    By ILATE rule sinx is first function and e^x is second function but you took oppositly.....
    How ?

    • @lukandrate9866
      @lukandrate9866 3 года назад

      Because he can

    • @mathsacademy8398
      @mathsacademy8398  3 года назад

      I receive a lot of comments about ILATE. Yes, you can use it BUT it does not always work. Completing lots of questions in order to gain experience is my preferred option…and, by all means, reference ILATE but do NOT rely on it.

    • @lukandrate9866
      @lukandrate9866 3 года назад

      @@mathsacademy8398 People think that you can use integration by parts only by substituting u = sin(x).

    • @mathsacademy8398
      @mathsacademy8398  3 года назад

      It’s a method of selecting the functions when using integration by parts. The order of the letters references the type of function. I for Inverse, L for logarithm, A for algebraic, T for trig, and E for exponential function. There are other acronyms but they mean the same thing.

    • @lukandrate9866
      @lukandrate9866 3 года назад

      @@mathsacademy8398 Thank you

  • @SaqibAli-iq8cv
    @SaqibAli-iq8cv 5 лет назад

    what if there were limits to it?

    • @SaqibAli-iq8cv
      @SaqibAli-iq8cv 5 лет назад

      @@mathsacademy8398 sir im having problem solving int(1+sinx)exp^-it limits -pi to pi
      can you help me ? or guide me to some tutorials

    • @SaqibAli-iq8cv
      @SaqibAli-iq8cv 5 лет назад

      @@mathsacademy8398 yes

  • @testtrial8789
    @testtrial8789 5 лет назад

    How you take u=e* I want ilate explanation

    • @testtrial8789
      @testtrial8789 5 лет назад

      @@mathsacademy8398 Plz sir tell me how can I recognize where to use ilate.

  • @riankesuma5545
    @riankesuma5545 3 года назад

    Gak bisa basa inggres

  • @themsaka4177
    @themsaka4177 5 лет назад

    Thank you so much

  • @Tomotomli
    @Tomotomli 6 лет назад

    Thank you!

  • @shilpasangannavar9925
    @shilpasangannavar9925 3 года назад

    Tqu sir

  • @priyasm2905
    @priyasm2905 3 года назад

    Thank you so much