Here is a solution guide to a problem;

$\displaystyle \int \frac {3}{2x-3} + \frac {2}{(2x-3)^5} dx$

$\displaystyle 3*\frac{1}{2} \int \frac {1}{u}du + 2*\frac{1}{2} \int \frac{1}{u^5} du$

The red is what I don't understand. They drew out the numerator because it was a k value, but where did the one half come from?

Has anyone ever really been far even as decided to use even go want to do look more like?