how do i integrate

Question

2u du /u-2+2u^2

so i used subsitution rule?
or can i used integration by parts and how? thanks in adnvace

Answer 1

Is all of u -2 +2u^2
a denominator?

That is (2u-1)(u+1)

So you would be integrating
2u/[(2u-1)(u+1)]

The method of partial fractions can be used.

See
http://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/partialfracdirectory/PartialFrac.html