Integrating Partial Fractions: Solving a Challenging Integral

[Matty R]

Hello

I've been stuck on this question for almost 3 hours now, and I still have no idea what to do. We haven't done a question like this in class, although we have done integration with partial fractions.

Homework Statement

Evaluate:

http://img43.imageshack.us/img43/4110/34519231.jpg

Homework Equations

The Attempt at a Solution

http://img230.imageshack.us/img230/7321/21305382.jpg

http://img230.imageshack.us/img230/4774/89099153.jpg

If I make A and B equal 0, I get C = 6. Then I just end up with the same integral as I started with.

I'd really appreciate any help with this.

Thank you

 

[LCKurtz]

No need for partial fractions. Try letting u = 2x - 1.

 

[Matty R]

I was convinced it had something to do with partial fractions.

I've just done the u substitution thingy and 4/3, which is the correct answer.

Thank you very much for your help.