# Integration problem

1. Nov 26, 2007

### tunabeast

1. The problem statement, all variables and given/known data
Compute the following antiderivative $$\int \frac {(2x+1)}{ (x^2+1)} d \ x$$

2. Relevant equations

3. The attempt at a solution
I tried a method using using substitution of u = x^2+1, but i think this is approaching the question in the complete wrong way. I think maybe some kind of trigonometric function comes into it but i'm not sure which. Thanks in advance for any assistance

2. Nov 26, 2007

### neutrino

Both are needed, but only after you split the fraction

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