Trigonomic Integration question!

1. Feb 5, 2009

jordan123

1. The problem statement, all variables and given/known data
Sorry for the lack of latex.

The question is this.

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

If someone could put that together on latex, that would be awesome!

3. The attempt at a solution
Im not exactly sure what to do, at all. So really any help is great. Even just a hint and I will probably get it. Thanks!

2. Feb 5, 2009

Staff: Mentor

Split into two integrals.
$$\int \frac{1 + x}{1 + x^2}dx$$
$$= \int \frac{1}{1 + x^2} dx + \int \frac{x}{1 + x^2} dx$$

The first is pretty straightforward. The second requires only an ordinary substitution.

3. Feb 5, 2009

rootX

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

Yes, first part is trigonometric and second is log..

4. Feb 5, 2009

Hitman2-2

Do you mean

$$\int \frac{1 + x} {1 + x^2} dx$$

Re-write the integrand as two terms

5. Feb 5, 2009

lol, thanks.