# Integral of (x^2+x)/(2x+1)

• B
Member warned that homework questions must be posted in a homework forum
I know integral of (2x+1)/(x^2+x).
but i don't know integral of (x^2+x)/(2x+1).
I'm very curious...

fresh_42
Mentor
What (rules) do you know about integration?

mathman
$\frac{x^2+x}{2x+1}$=$\frac{x^2+\frac{x}{2}}{2x+1}+\frac{x}{4x+2}$=$\frac{x}{2}+\frac{x+\frac{1}{4}}{4x+2}-\frac{1}{16x+8}$=$\frac{x}{2}+\frac{1}{4}-\frac{1}{16x+8}$