How to Integrate (x^2 e^x) ?

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  • čas přidán 7. 08. 2024
  • Integral of (x^2 e^x) is solved using integration by parts twice. The first time of integration by parts leaves out the integral of vdu that consists of an algebraic and an exponential function. Therefore, integration by parts has to be used again and its answer is replaced with the initial integral vdu.
    0:00 Integration by parts first time
    0:49 Integration by parts second time
    Full explanation of Integration By Parts:
    • Integration By Parts F...

Komentáře • 4

  • @Commonstories-lz1mk
    @Commonstories-lz1mk Před 7 měsíci +4

    yeah it was done winderfully, anyway with DI Method it's even faster

    • @Myfavorite192
      @Myfavorite192 Před 7 měsíci +1

      What does DI Method stand for?

    • @YeahMathIsBoring
      @YeahMathIsBoring  Před 6 měsíci

      Yup, it would be much faster using the DI Method. By using normal IBP, we would have to perform it twice.

    • @YeahMathIsBoring
      @YeahMathIsBoring  Před 6 měsíci

      @@Myfavorite192 The DI Method is a technique for integrating a product of functions through a tabular method, involving the repeated differentiation and integration. Therefore, DI is just basically stand for Differentiate and Integrate.