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# How to integrate it? watch

1. how to integrate (x^3+3xy)e^(x^2/2) with respect to x?
2. x e^(x^2/2) dx
= e^(x^2/2) + c

x^3 e^(x^2/2) dx
= x^2 * x e^(x^2/2) dx
= x^2 * e^(x^2/2) - 2x e^(x^2/2)
= x^2 e^(x^2/2) - 2e^(x^2/2) + c

So the answer is (x^2 - 2 + 3y)e^(x^2/2) + c.
3. Is y a function of x or not?
4. thanks , i got it

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(Original post by BCHL85)
Is y a function of x or not?
no, it is not

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Updated: November 16, 2005
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