Integration using partial fractions?

[ombudsmansect]

Homework Statement

find the integral of (1 + 2x)/(1+x^2)

Homework Equations

The Attempt at a Solution

I honestly have no idea how to solve this and have spent ages trying to figure it out. I would automatically assume using partial fractions to solve but the denominator presents a problem there were it cannot take a form of a partial fraction. substitution does not work either. So if anyone has worked with a problem type like this before your advice would b greatly appreciated even a hint woud b awesome :)

 

[Susanne217]

Homework Statement

find the integral of (1 + 2x)/(1+x^2)

Homework Equations

The Attempt at a Solution

I honestly have no idea how to solve this and have spent ages trying to figure it out. I would automatically assume using partial fractions to solve but the denominator presents a problem there were it cannot take a form of a partial fraction. substitution does not work either. So if anyone has worked with a problem type like this before your advice would b greatly appreciated even a hint woud b awesome :)

I seem to remember that if you have $$\frac{1+2x}{1+x^2}$$

That its possible split this up

thusly getting $$\frac{1}{1+x^2} + \frac{2x}{1+x^2}$$

That fact should be userable here :)

 

[ombudsmansect]

thanks suz! i will try n crack this thing now :D