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Math Help - indefinite integral

  1. #1
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    indefinite integral

    xe^x2

    Cant figure out how to do this.
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  2. #2
    Super Member General's Avatar
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    Quote Originally Posted by av8or91 View Post
    xe^x2

    Cant figure out how to do this.
    Its
    \int x e^{x^2} dx
    or
    \int x (e^x)^2 dx
    or
    \int x e^{x2} dx
    or
    \int x e^x \, 2 \, dx

    ??

    Please, use brackets to make your problems more readable!
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  3. #3
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    Quote Originally Posted by General View Post
    Its
    \int x e^{x^2} dx


    Please, use brackets to make your problems more readable!
    It is this one...Sorry I know i need to use substitution but cant figure out the rest.
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  4. #4
    MHF Contributor
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    Just in case a picture helps...



    ... where



    ... is the chain rule. Straight continuous lines differentiate downwards (integrate up) with respect to x, and the straight dashed line similarly but with respect to the dashed balloon expression (the inner function of the composite which is subject to the chain rule).

    The general drift is...



    And the rest...

    Spoiler:

    _________________________________________

    Don't integrate - balloontegrate!

    Balloon Calculus; standard integrals, derivatives and methods

    Balloon Calculus Drawing with LaTeX and Asymptote!
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