# Math Help - intergration

1. ## intergration

How to integrate this

(x^2+2x)/(x+1)^2

2. ## Re: intergration

$\int \left(1-\frac{1}{(1+x)^2}\right) \, dx$

3. ## Re: intergration

man i am gonna need more then that , i have been trying this for hal an hour. would be very help full if you show me the answear with proper workout , thanks mate

like how did you do what you did above , please explain .

4. ## Re: intergration

Expand n simplify apart

5. ## Re: intergration

Originally Posted by MaxJasper
Expand n simplify apart
you mean x^2 +2x/ x^2+2x+1

therefore x^2 +2x/ x^2+2x cancels
which leaves you with
what you mentioned here ?

Originally Posted by MaxJasper
$\int \left(1-\frac{1}{(1+x)^2}\right) \, dx$

6. ## Re: intergration

One way to get to the form expressed by MaxJasper is to write:

$\frac{x^2+2x}{(x+1)^2}=\frac{x^2+2x+1-1}{(x+1)^2}=\frac{(x+1)^2-1}{(x+1)^2}=1-\frac{1}{(x+1)^2}$