Originally Posted by

**larson** Hey guys, me again. I'm having trouble with another partial fractions problem, except with this one the degree on the top is larger than on the bottom, resulting in division. Here's the problem.

$\displaystyle \int \frac{x^3}{x^2+1}dx$

So what you do is you divide the denominator by the numerator and you get

$\displaystyle x - \frac{x}{x^2+1}$

So now that you have a remainder, you find the integral of that. This is where I'm having trouble, so in otherwords, I'm having trouble with the following problem...

$\displaystyle \int \frac{x}{x^2+1}$

Thanks in advance.