hello everyone. I'm confused on what he wants here. here are the directions: How do you prove such a thing? do i take the integral of the decompoisition and add them together or what? The homework and webworks never asked this type of question. It just was pratice on finding the decompoisition, but he has already given us that. Any help would be great! I took the integral of the decompisition, the stuff on the right side of the equation and got: 8*ln(x-3)/9 + ln(x)/9 + 5/(3*(x-3)) and if i take the integral of the left hand side, it comes out to the same thing. is that all he wanted?