# Homework Help: Simple İntegral question Check

1. Mar 1, 2017

### Arman777

1. The problem statement, all variables and given/known data
$\int \frac{x}{\left(C-x\right)^2}dx=?$
Here $C$ is a constant
2. Relevant equations

3. The attempt at a solution
$c-x=u$ then $dx=-du$
then it becomes,
$\int \frac{u-c}{\left(u\right)^2}du$
$\int \frac{u}{u^2}-\frac{c}{u^2}du$
From there I found
$ln\left(c-x\right)+\frac{c}{c-x}$
but symbolab says its,
$ln\left(c-x\right)+\frac{x}{c-x}$
I cannot see how ??

2. Mar 1, 2017

3. Mar 1, 2017

4. Mar 1, 2017

### alan2

It's probably quicker to just differentiate your result than to check it with software from which you learn nothing.

5. Mar 1, 2017

### Arman777

Make sense never thought.