# Partial Fraction Integration - Set up problems?

by demersal
Tags: fraction, integration, partial
 P: 41 1. The problem statement, all variables and given/known data $$\int$$$$\frac{2x^{2}}{(x^{2}-1)}$$ dx 2. Relevant equations Partial Fractions 3. The attempt at a solution 2$$\int$$$$\frac{x^{2}}{(x^{2}-1)}$$ dx 2$$\int$$$$\frac{x^{2}}{(x-1)(x+1)}$$ dx $$\frac{A}{x-1}$$ + $$\frac{B}{x+1}$$ = $$\frac{x^{2}}{(x+1)(x-1)}$$ A(x+1) + B(x-1) = x$$^{2}$$ Solving for coefficients does not work because there is no x$$^{2}$$ term of A or B and also when solving for the x and the constant contradictory answers occur. Did I set this up wrong??
 PF Gold P: 1,132 Perhaps try polynomial long divison first
 P: 41 I can't believe I didn't see that; thank you!!
PF Gold
P: 1,132

## Partial Fraction Integration - Set up problems?

No problem

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