How to evaluate double integrals (& how to change the order of integration) 10 examples, calculus 3

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  • čas přidán 28. 08. 2024

Komentáře • 24

  • @bprpcalculusbasics
    @bprpcalculusbasics  Před 9 měsíci +6

    These are from my 100 integrals part 2: These double integrals are from my 100 integrals part 2 video 👉 czcams.com/video/jQz1gQ24OHc/video.htmlsi=e0TNMkCmiHveTda2

  • @yowreesesame1803
    @yowreesesame1803 Před 9 měsíci +4

    what a coincidence, while i was watching part 2 of your 100 integrals, suddenly this video notified me right away. hahaha ty for this! would help for my exam

  • @Supercatzs
    @Supercatzs Před 9 měsíci +8

    he finally did it...

  • @mmh2695
    @mmh2695 Před 8 měsíci +3

    Can you make some videos explaining triple integral and calculus 3?
    I'm taking Engineering Mathematics 2 this semester and I started struggling 😅😅
    Love your work tho, big fan I was following you for around 3 years at this point

  • @mwesigwadaudi5718
    @mwesigwadaudi5718 Před 9 měsíci +3

    Thanks Dr🎉

  • @digitalutmassignment
    @digitalutmassignment Před 9 měsíci +3

    thanks alot ....we need in triple intigral too😁😁

  • @user-cq7qc6qj6x
    @user-cq7qc6qj6x Před 5 měsíci +1

    hey i dont understand why in 6:15 sin(tan^-1(x))= x/√ (1+x^2) ?
    tan^-1(x) is arctanx or 1/tanx ?

    • @angeljosephcastillon4041
      @angeljosephcastillon4041 Před 3 měsíci

      Arctan (x)
      Tan = x (Recall TOA)
      Make a right triangle in which, x is the opposite, and 1 is the adjacent.
      There you will get the sin(x) which is opposite over hypotenuse

  • @09Maggio
    @09Maggio Před 3 měsíci

    on question Q89 i got 26/3, don't understand where the other 1/3 comes from

    • @Asiago9
      @Asiago9 Před 24 dny

      When doing the integral of sqrt(u)du, you get 2/3sqrt(u^3) due to the power rule, which you then multiple the outside 1/6 by to get to 1/9

  • @buschiyer
    @buschiyer Před 7 měsíci

    i dont really understand why he could change dx and dy. What did it depend on?

    • @lilfelicia
      @lilfelicia Před 7 měsíci

      Because sometimes you can not integrate in the initial statement

    • @buschiyer
      @buschiyer Před 7 měsíci +1

      @@lilfelicia no i meant i didnt understand the explanation in how it works

    • @37-nguyensythang81
      @37-nguyensythang81 Před 3 měsíci +1

      it depends on Fubini's theorem

    • @09Maggio
      @09Maggio Před 3 měsíci

      this was long ago so i hope you passed your exam but from what i know you can always change them if it's a smart decision, just draw your region and see under which functions x and y stand

  • @gibson2623
    @gibson2623 Před 2 měsíci

    Volume? Aren t double integrals for surface area?

    • @lightshadow2707
      @lightshadow2707 Před měsícem +1

      generally you do this to find the volume under a plane given by f(x,y) in the bounds of the integral. Now if f(x,y)=1 your integral will give you the surface defined by the integral bounds. For example if you integrate over square bounds like {0

    • @gibson2623
      @gibson2623 Před měsícem +1

      @@lightshadow2707 Thank you for your time. Extremely well explained. Now it makes sense of course. Thank you ❤️

  • @jeanrichonez2022
    @jeanrichonez2022 Před 2 měsíci +1

    Great job. Thank you. You looked a little bit tiree. Need some deserved rest ?

    • @bprpcalculusbasics
      @bprpcalculusbasics  Před 2 měsíci +3

      Thank you. These questions are from my “100 integrals part 2” video so I had already done 80 nonstop up to this point. 😆

  • @HashemAljifri515
    @HashemAljifri515 Před 9 měsíci

    Jacobian 😆

  • @user-cd5fp9zi6t
    @user-cd5fp9zi6t Před 2 měsíci +1

    you need to work more on yourself first