Integrating Fraction Fractions: Solving \int\frac{x^{2}+2x+1}{x^{2}+1}

[Cmertin]

Homework Statement

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

Homework Equations

INTEGRAL OF X=\frac{x^{n+1}}{n+1}
I can't get the integral to work on the left side for some reason.

The Attempt at a Solution

I have completely forgotten how to integrate fractions. I know that "log(x^2+1)+C" would be included in it though I'm not to sure where to go from there.

 

[snipez90]

\frac{x^{2}+2x+1}{x^{2}+1} = \frac{x^2 + 1}{x^2 + 1} + \frac{2x}{x^2+1}

 

[Cmertin]

\frac{x^{2}+2x+1}{x^{2}+1} = \frac{x^2 + 1}{x^2 + 1} + \frac{2x}{x^2+1}

I got it, thanks.