Partial Fraction Integration - Set up problems?


by demersal
Tags: fraction, integration, partial
demersal
demersal is offline
#1
Sep22-08, 09:38 PM
P: 41
1. The problem statement, all variables and given/known data
[tex]\int[/tex][tex]\frac{2x^{2}}{(x^{2}-1)}[/tex] dx


2. Relevant equations
Partial Fractions


3. The attempt at a solution
2[tex]\int[/tex][tex]\frac{x^{2}}{(x^{2}-1)}[/tex] dx

2[tex]\int[/tex][tex]\frac{x^{2}}{(x-1)(x+1)}[/tex] dx

[tex]\frac{A}{x-1}[/tex] + [tex]\frac{B}{x+1}[/tex] = [tex]\frac{x^{2}}{(x+1)(x-1)}[/tex]

A(x+1) + B(x-1) = x[tex]^{2}[/tex]

Solving for coefficients does not work because there is no x[tex]^{2}[/tex] term of A or B and also when solving for the x and the constant contradictory answers occur. Did I set this up wrong??
Phys.Org News Partner Science news on Phys.org
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes
danago
danago is offline
#2
Sep22-08, 10:31 PM
PF Gold
P: 1,132
Perhaps try polynomial long divison first
demersal
demersal is offline
#3
Sep22-08, 11:19 PM
P: 41
I can't believe I didn't see that; thank you!!

danago
danago is offline
#4
Sep22-08, 11:34 PM
PF Gold
P: 1,132

Partial Fraction Integration - Set up problems?


No problem


Register to reply

Related Discussions
Partial Fraction Integration Calculus & Beyond Homework 5
integration of partial fraction Calculus 1
Partial Fraction Integration Help =( Calculus & Beyond Homework 3
Partial Fraction Calculus & Beyond Homework 3
partial fraction General Math 2