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Math Help - HELP! y=-x+e^(x^2)*integral from 0 to x of e^(-t^2)dt find y'?

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    HELP! y=-x+e^(x^2)*integral from 0 to x of e^(-t^2)dt find y'?

    Can anyone help me solve this problem?
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    Quote Originally Posted by jdk022 View Post
    Can anyone help me solve this problem?
    y=-x+e^{x^2}\int_0^x e^{-t^2}dt

    y'=-1 + 2xe^{x^2}\int_0^x e^{-t^2}dt+e^{x^2}\cdot e^{-x^2}=

    =-1 + 2xe^{x^2}\int_0^x e^{-t^2}dt+1=

     2xe^{x^2}\int_0^x e^{-t^2}dt

    or:

    y'=2x(y+x)=2xy+2x^2


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