# Math Help - Integral partial fractions

1. ## Integral partial fractions

Evaluate the following indenite integral,

∫(x^3-5x) / (x^3-2x^2+4x-8)

x+9/2 log(x^2+4)-9/4 arctan(x/2) - 1/4 log |x-2| + C

I was wondering if anyone could help confirm if this is correct or not.

Kind regards.

2. ## Re: Integral partial fractions

Originally Posted by tylersmith7690
Evaluate the following indenite integral,
∫(x^3-5x) / (x^3-2x^2+4x-8)
x+9/2 log(x^2+4)-9/4 arctan(x/2) - 1/4 log |x-2| + C
I was wondering if anyone could help confirm if this is correct or not.
Here is a web-check.

3. ## Re: Integral partial fractions

Yes, that looks good to me.

4. ## Re: Integral partial fractions

Originally Posted by tylersmith7690
Evaluate the following indenite integral,

∫(x^3-5x) / (x^3-2x^2+4x-8)

I've just sat down and done it now - unless I'm mistaken, you're out by a factor of 1/4 on the $\ln (x^2 + 4)$ part but the rest looks good to me.