
#1
Sep2208, 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}}{(x1)(x+1)}[/tex] dx [tex]\frac{A}{x1}[/tex] + [tex]\frac{B}{x+1}[/tex] = [tex]\frac{x^{2}}{(x+1)(x1)}[/tex] A(x+1) + B(x1) = 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?? 



#2
Sep2208, 10:31 PM

PF Gold
P: 1,132

Perhaps try polynomial long divison first




#3
Sep2208, 11:19 PM

P: 41

I can't believe I didn't see that; thank you!!




#4
Sep2208, 11:34 PM

PF Gold
P: 1,132

Partial Fraction Integration  Set up problems?
No problem



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