# Thread: Combing fractions for integrals

1. ## Combing fractions for integrals

I was taught a different way to do this type of problem and getting:

A(x^2+64) +(Bx+C)(x-1) = 65

I do not understand what they want in this question! If anyone can help, I appreciate any advice!

2. ## Re: Combing fractions for integrals

your initial decomposition is ok
now use algebra to calculate B and C . you must find B = C = -1.

MINOAS

3. ## Re: Combing fractions for integrals

Originally Posted by MINOANMAN
your initial decomposition is ok
now use algebra to calculate B and C . you must find B = C = -1.

MINOAS
Thanks for the reply! They are asking to combine the fractions (which is an alternative step instead of the route I usually take). I'm not sure how they are combining the equations in this problem. It's the part on the attachment that has the red X on it

4. ## Re: Combing fractions for integrals

Originally Posted by Steelers72

I was taught a different way to do this type of problem and getting:

A(x^2+64) +(Bx+C)(x-1) = 65

I do not understand what they want in this question! If anyone can help, I appreciate any advice!
For this part of the problem, you're only working with the left hand side:

$\displaystyle A(x^2+64) +(Bx+C)(x-1)$

You multiply it out and combine the $\displaystyle x^2$, $\displaystyle x$, and constant terms, and they are asking for the constant term.

- Hollywood