- #1
soccergal13
- 6
- 0
Evaluate the integral of x^2-x/(x^2-1)^2 from 0 to 1.
* I know that I have to use partial fractions in order to make the integral integratable.
My attempt at partial fractions:
A/(x-1) + (B/(x+1)) + (Cx+D/(x^2-1)^2)
Is this setup right? (Once I have it set up correctly, I know how to actually use the partial fractions in evaluating the integral). I wasn't sure because you can factor the bottom of the original function out to (x-1)(x-1)(x+1)(x+1), and thus A/(x-1) + B/(x-1) + C/(x+1) + D/(x+1) but I don't remember ever encountering a problem that needed to be divided into 4 partial fractions...
Thanks for any help!
* I know that I have to use partial fractions in order to make the integral integratable.
My attempt at partial fractions:
A/(x-1) + (B/(x+1)) + (Cx+D/(x^2-1)^2)
Is this setup right? (Once I have it set up correctly, I know how to actually use the partial fractions in evaluating the integral). I wasn't sure because you can factor the bottom of the original function out to (x-1)(x-1)(x+1)(x+1), and thus A/(x-1) + B/(x-1) + C/(x+1) + D/(x+1) but I don't remember ever encountering a problem that needed to be divided into 4 partial fractions...
Thanks for any help!