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Math Help - Evaluate the indefinite integral as an infinite series

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    Evaluate the indefinite integral as an infinite series

    I am having some trouble with:

    integral of xcos(x^3)

    any ideas?
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    Quote Originally Posted by CalculusCrazed View Post
    I am having some trouble with:

    integral of xcos(x^3)

    any ideas?
    \cos{x} = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{6!} + ...

    \cos(x^3) = 1 - \frac{x^6}{2!} + \frac{x^{12}}{4!} - \frac{x^{18}}{6!} + ...

    x\cos(x^3) = x - \frac{x^7}{2!} + \frac{x^{13}}{4!} - \frac{x^{19}}{6!} + ...

    integrate it, term for term ...
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