Originally Posted by

**freyrkessenin** There was a question on a previous exam and I can't seem to get the right answer.

$\displaystyle \int\frac{2dx}{x^3 + x}$

My initial method was to use Integration by Parts, but I can't seem to massage it correctly.

$\displaystyle u = \frac{2}{x}$; $\displaystyle du = 2ln(x)dx$

$\displaystyle dv = (x^2 + 1) dx$; $\displaystyle v = \frac{x^3}{3} + x$

Fairly certain this doesn't work though, although my arithmetic could be off.

Could someone please take a jab at this? I would appreciate it greatly. :]