C'mon, it's easy. Pretend x is a constant, and integrate by parts: y*(-x*e^(-y/x))-x^2*e^(-y/x) from y=0 to y=x^3 -x^4*e^(-x^2)-x^2*e^(-x^2) -e^(-x^2)*(x^4+x^2) If my head is serving me well today. Anyway, that's the idea.
I couldn't decide which part to be differentiated and which part to be integrated, when I did it by parts. Well, it was like the first thing in the morning I did today, so my head wasn't working...at all :P
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"yedy" anyone?
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y*(-x*e^(-y/x))-x^2*e^(-y/x) from y=0 to y=x^3
-x^4*e^(-x^2)-x^2*e^(-x^2)
-e^(-x^2)*(x^4+x^2)
If my head is serving me well today. Anyway, that's the idea.
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Well, if you've done Any multi-var, it should be.
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Well, it was like the first thing in the morning I did today, so my head wasn't working...at all :P
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