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

Join the discussion
Registration is free. Start your own thread to ask a follow-up.
2 replies · 2K views
Cmertin
Messages
57
Reaction score
0

Homework Statement


[tex]\int\frac{x^{2}+2x+1}{x^{2}+1}[/tex]

Homework Equations


INTEGRAL OF X[tex]=\frac{x^{n+1}}{n+1}[/tex]
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.
 
Physics news on Phys.org
[tex]\frac{x^{2}+2x+1}{x^{2}+1} = \frac{x^2 + 1}{x^2 + 1} + \frac{2x}{x^2+1}[/tex]
 
snipez90 said:
[tex]\frac{x^{2}+2x+1}{x^{2}+1} = \frac{x^2 + 1}{x^2 + 1} + \frac{2x}{x^2+1}[/tex]

I got it, thanks.
 
Last edited: