# How do you find the integral #int (x+1)/(x^2+2x+2)^3dx# using substitution?

##### 2 Answers

The answer is

#### Explanation:

We use

Let

#### Explanation:

You first decide which part of one looks like the other. If you make

Therefore, all you need to do is multiply the top by 2 and you have the same thing as your dU.

You then have multiply the inside by 2 but also the outside by 1/2.

Once you have this, you can then substitute your U and dU in your situation.

you final recieve after your done

Then you finally substitute your U back in the situation and you have