- #1
Zhalfirin88
- 137
- 0
Homework Statement
[tex] \int \frac{x^3e^{x^2}}{(x^2+1)^2} [/tex]
The Attempt at a Solution
Well, this problem is hard, so I thought to use u = x3ex2
so du = x2ex2(3+2x2) dx
and dv = (x2+1)-2 then v = -2(x2+1)-1 Please check v though to make sure my algebra is right.
so then using the by parts formula:
[tex] \int \frac{x^3e^{x^2}}{x^2+1} = \frac{x^3e^{2x}}{2(x^2+1)} - \int \frac{x^2e^{x^2}(3+2x^2)}{2(x^2 +1)} [/tex] But where do I go from here?