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Math Help - need help integrating (e^(x^2)-2x) / (e^x^2)dx

  1. #1
    Junior Member LexiRae's Avatar
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    need help integrating (e^(x^2)-2x) / (e^x^2)dx

    i need help integrating this function.
    im not sure where to go i keep getting stuck!
    thanks!
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by LexiRae View Post
    i need help integrating this function.
    im not sure where to go i keep getting stuck!
    thanks!
    If the integral is \int\frac{e^{x^2}-2x}{e^{x^2}}\,dx, then we can rewrite it \int\left(1-2xe^{-x^2}\right)\,dx=\int\,dx+\int\left(-2xe^{-x^2}\right)\,dx

    Now apply the substitution u=-x^2 on the second integral.

    Can you continue?
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    MHF Contributor Reckoner's Avatar
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    Quote Originally Posted by LexiRae View Post
    i need help integrating this function.
    im not sure where to go i keep getting stuck!
    thanks!
    \int\frac{e^{x^2}-2x}{e^{x^2}}\,dx

    =\int\left(1-\frac{2x}{e^{x^2}}\right)\,dx

    =x-\int\frac{2x}{e^{x^2}}\,dx

    =x+\int(-2x)e^{-x^2}\,dx

    Can you finish?
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