# partial fractions #3

• Nov 18th 2009, 12:10 AM
abilitiesz
partial fractions #3
I need help in understanding what this equation means:

http://img694.imageshack.us/img694/959/math.th.jpg

I understand it if ax + b wasnt there so it being there confuses me.
• Nov 18th 2009, 12:26 AM
Chris L T521
Quote:

Originally Posted by abilitiesz
I need help in understanding what this equation means:

http://img694.imageshack.us/img694/959/math.th.jpg

I understand it if ax + b wasnt there so it being there confuses me.

You need to simplify the integrand using long division since its not a proper fraction. When you do the long division, you get something of the form ax+b, plus a remainder. It is from that remainder that you get the partial fraction decomposition.

Does this make sense?
• Nov 18th 2009, 12:35 AM
abilitiesz
Quote:

Originally Posted by Chris L T521
You need to simplify the integrand using long division since its not a proper fraction. When you do the long division, you get something of the form ax+b, plus a remainder. It is from that remainder that you get the partial fraction decomposition.

Does this make sense?

Yes, it did a bit. Thank you for the speedy response!