# Integration by partial fractions?

by James2
Tags: factoring, integral, integration, polynomial, rational
 P: 35 Whoa, this here is kicking me hard! Okay, so I've got everything pretty well down until... stuff like... $$\int \frac{3x + 32}{x^{2}-16x + 64}dx$$ So, I get how to factor the denominator, but then what? The above won't factor... Also, I read that if the degree of the numerator is higher than the denominator I gotta do polynomial long division... I need a review of polynomial long division; Lol.
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Thanks
P: 9,080
 Quote by James2 Whoa, this here is kicking me hard! Okay, so I've got everything pretty well down until... stuff like... $$\int \frac{3x + 32}{x^{2}-16x + 64}dx$$ So, I get how to factor the denominator, but then what? The above won't factor... Also, I read that if the degree of the numerator is higher than the denominator I gotta do polynomial long division... I need a review of polynomial long division; Lol.
But the numerator is not higher order than the denominator and:$$\frac{3x + 32}{x^{2}-16x + 64}=\frac{3x+32}{(x-8)^2}$$See also:
http://www.math.ucdavis.edu/~kouba/C...rtialFrac.html
 HW Helper P: 2,079 x^2-16x+64=(x-8)^2 3x+32=3(x-8)+56
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