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**1. Homework Statement**

Consider the indefinite integral of (4 x^3+4 x^2-96 x -100)/(x^2-25)dx

Then the integrand decomposes into the form

ax + b + c/(x - 5) + d/(x + 5)

Find a, b, c, and d.

Then find the integral of the function.

**3. The Attempt at a Solution**

Using long division, I got this far...

[tex]\frac{4x^3 + 4x^2 - 96x - 100}{x^2 - 25}[/tex]

=

4x + 4 + c/(x - 5) + d/(x + 5)

It'd be pretty hard to show how I got a and b, but I'm pretty positive that's correct. I just can't find C or D.

So then, I thought I was supposed to put my remainder after dividing over (x - 5)(x + 5). My remainder is 4x, so I went.

4x/((x - 5)(x + 5))

Which produces

c + d = 4.

I need one more equation to solve for it though. Help?