Register to reply

Partial Fraction Integration - Set up problems?

by demersal
Tags: fraction, integration, partial
Share this thread:
demersal
#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
Fungus deadly to AIDS patients found to grow on trees
Canola genome sequence reveals evolutionary 'love triangle'
Scientists uncover clues to role of magnetism in iron-based superconductors
danago
#2
Sep22-08, 10:31 PM
PF Gold
P: 1,125
Perhaps try polynomial long divison first
demersal
#3
Sep22-08, 11:19 PM
P: 41
I can't believe I didn't see that; thank you!!

danago
#4
Sep22-08, 11:34 PM
PF Gold
P: 1,125
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