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How do I integrate (x^2)(e^(x^3)) dx? I think it is integration by parts but after trying that, I got confused?

  • Calculus -

    When the exponential function is multiplied by a factor which is the derivative of the exponent:
    d/dx x^3 = 2x^2, then
    the integral is simply the exponential function, with some constants to be adjusted.

    If you are not sure, try differentiating
    e^(x^3) and you'll get the picture.
    It will save you a lot of time, let say if you try to integrate by parts:
    x^99 * e^(x^100) !

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