Posted by Michael on Sunday, November 4, 2007 at 4:18pm.
I can't remember how to integrate ye^ey with respect to y. Is it (y^2)e^xy? or do i need to do integration by parts? i just cant remember.

Quick Calc Question  Michael, Sunday, November 4, 2007 at 4:24pm
oops, that was supposed to be ye^xy

Quick Calc Question  Count Iblis, Sunday, November 4, 2007 at 4:24pm
Yes, you can do integration by parts. Another way is to integrate e^(xy) and then differentiate the answer w.r.t. x.
Integral of e^(x y)dy = 1/x e^(xy) + c
Differentiate both sides w.r.t. x:
Integral of ye^(x y)dy =
(y/x  1/x^2) e^(xy) + c'
If you use this method then the integration constant is some arbitrary function of x, so when you differentiate you don't get rid of the integration constant.
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