Integration by partial fractions?

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.

Recognitions:
Homework Help
 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
 Recognitions: Homework Help x^2-16x+64=(x-8)^2 3x+32=3(x-8)+56

Recognitions:
Homework Help

Integration by partial fractions?

... oh yes, and complete the square in the numerator.
Thanks lurflurf. The example does not seem to illustrate the following comments does it?

 Tags factoring, integral, integration, polynomial, rational