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Math Help - Trig Integrals

  1. #1
    Junior Member
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    Trig Integrals

    can I have some help with this problem:

    integrate x^2 sin x^3 dx from 0 to 1

    although I do not know that it equals 0.153233, that just what wolfram says


    the integral should equal:


    but now I am not sure how to use the 'from 0 to 1' in this. I thought that it would be something like:




    could someone please help clarify?
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  2. #2
    Super Member
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    Re: Trig Integrals

    Forget the bounds for now, consider only the indefinite integral.

    We may substitute u = x^3, in which du = 3x^2 dx \Rightarrow \frac{1}{3}du = x^2 dx. You should be able to substitute and evaluate the new integral. Remember to back-substitute and then substitute the bounds.
    Thanks from NettieL
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