Integral of (2x+1)/(x+2)^2 dx

I need to solve Integral of (2x+1)/(x+2)^2 dx

I would like to know how its throughly been done step by step, but before that I would atleast like to show you my progress even if it's a bit incorrent. The important thing is trying, but if someone could show me to complete steps I would be grateful

Progress:

1..The first thing I wanna see is the (x+2)^2 being split up into (x+2) (x+2)

so by having (2x+1)/ (x+2) (x+2)

2. Now looking for an expression of constants for I would suggest A/(x+2) + B/(x+2)

from here on I would kind of multiply everything up, to make it A(x+2) + B(x+2) / (x+2) (x+2)

3. This is where I get stuck, but im pretty sure its going to be an ln something + C

Could someone be kind and show me the steps?

// Best Regards

Re: Integral of (2x+1)/(x+2)^2 dx

I think I would simply write:

Re: Integral of (2x+1)/(x+2)^2 dx

Quote:

Originally Posted by

**Riazy** I need to solve Integral of (2x+1)/(x+2)^2 dx

I would like to know how its throughly been done step by step, but before that I would atleast like to show you my progress even if it's a bit incorrent. The important thing is trying, but if someone could show me to complete steps I

See it done here . Click show steps tab.

Re: Integral of (2x+1)/(x+2)^2 dx