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Math Help - integration by parts

  1. #1
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    integration by parts

    Hi, i came across this weird question that didn't look like the usual integration by parts question.... the question was to integrate e^-t^3 dt.. between the limits of infinity and x.

    The first line in the answers was the only line that caught me off guard.
    It was, f(x)= (integral sign between infinity and x) -1/3t^2 - 3t^2e^-t^3 dt

    please could you explain this to me, thank you
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  2. #2
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    Quote Originally Posted by nazli1989 View Post
    Hi, i came across this weird question that didn't look like the usual integration by parts question.... the question was to integrate e^-t^3 dt.. between the limits of infinity and x.

    The first line in the answers was the only line that caught me off guard.
    It was, f(x)= (integral sign between infinity and x) -1/3t^2 - 3t^2e^-t^3 dt

    please could you explain this to me, thank you

    There's nothing to explain since it makes no sense: are you telling us that

    \int_{x}^{\infty}e^{-t^3}dt=\int_{x}^{\infty}\left(-\frac{1}{3}t^2-3t^2e^{-t^3}\right)dt\,\,??

    What book is this from? Is the above what you wanted to say?

    Tonio
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