F(y)=Integral(e^{-x^{2}y^{2}}dx between y and 0 (where y>0). I know you have to make substitutions with y, but then you have to make a further substitution along the way and that's where I'm a little lost. Can anyone help point me in the right direction? I know you can set u=-y^{2} and v=y in the integrand, but, as you'll see, you get stuck and you need to make another substitution somewhere.(adsbygoogle = window.adsbygoogle || []).push({});

(The stupid symbol commands won't work for me, so sorry if it's hard to read the function)

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# Derivative of a function with variable also in the integrand

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