- #1
Azi
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I've been going at this problem for at least 3 hours
Just need to find the integral for:
INTEGRAL(x^3e^x^2) / (x^2 + 1)^2 dxI've tried all kinds of different methods, filling up at 4 pages in my notebook! I think this is the closest I've gotten
First I broke up the numerator so that it's: x^2xe^x^2
Attempting to solve with u-substitution
u = x^2 + 1
x^2 = u - 1
du = 2xdx
1/2du = xdx
1/2INTEGRAL((u-1)e^(u-1)) / (u^2) du
And I don't know what to do from here, I don't feel like I'm on the right track. If anyone has a tip it would be much appreciated!
Just need to find the integral for:
INTEGRAL(x^3e^x^2) / (x^2 + 1)^2 dxI've tried all kinds of different methods, filling up at 4 pages in my notebook! I think this is the closest I've gotten
First I broke up the numerator so that it's: x^2xe^x^2
Attempting to solve with u-substitution
u = x^2 + 1
x^2 = u - 1
du = 2xdx
1/2du = xdx
1/2INTEGRAL((u-1)e^(u-1)) / (u^2) du
And I don't know what to do from here, I don't feel like I'm on the right track. If anyone has a tip it would be much appreciated!
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