Math Help - Integration Help

1. Integration Help

Hi I am having problems integrating (8x+4)ln(x^2+x)/(X^2+x).
I have tried using integration by substitution letting u=x^2+x, du=2x+1dx

This brings me to the integral of
int (4du- ln|u|)/u
I cant work out what do after this point, assuming am using the correct integration technique. Thanks

2. Originally Posted by ollieman
Hi I am having problems integrating (8x+4)ln(x^2+x)/(X^2+x).
I have tried using integration by substitution letting u=x^2+x, du=2x+1dx

This brings me to the integral of
int (4du- ln|u|)/u
I cant work out what do after this point, assuming am using the correct integration technique. Thanks
You have $4 \int \frac{\ln u}{u} \, du$. Now make the substitution $w = \ln u$.

3. Originally Posted by mr fantastic
You have $4 \int \frac{\ln u}{u} \, du$. Now make the substitution $w = \ln u$.
Thank you, that worked out nicely.