How to integrate 1/(2x+2x²)

[fredrick08]

Homework Statement

int(1/(2x+2x^2))dx

The Attempt at a Solution

can someone help me where to start with this one i know its not hard, but i can't find out what to factorize then do parts??

ive forgotten this simple integration stuff, do i make it 1/2x(x+1) then integrate by parts?? anyways the answer is -(1/2)ln(x+1)+(1/2)ln(x) i have to use parts don't i, or can i separate some how??

 

[Dick]

Since you've factorized the denominator, seems like you should integrate by partial fractions, not by parts.

 

[fredrick08]

ah ok ty, let me try

 

[fredrick08]

lol ty for pointing how stupid i can be sometimes... quite embarrassing lol