Ok wow, I can't solve this :((adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int\frac{x^3e^{x^2}}{(x^2+1)^2}dx[/tex]

I have let u equal almost everything possible.

[tex]u=x^2[/tex]

[tex]d=2xdx[/tex]

[tex]u=e^{x^2}[/tex]

[tex]\ln u=x^2[/tex]

[tex]\frac{du}{u}=2xdx[/tex]

[tex]u=x^2+1 \leftrightarrow u-1=x^2[/tex]

[tex]\ln u=\ln{(x^2+1)}[/tex]

[tex]\frac{du}{u}=\frac{2xdx}{x^2+1}[/tex]

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: How to find the integral of x^3 e^(x^2) / (x^2 + 1)^2 ?

**Physics Forums | Science Articles, Homework Help, Discussion**