## anonymous 4 years ago integrate (x+1)/(x^2+1)

1. anonymous

split it up into: $\int\limits_{}^{}x/(x^2 +1)$and$\int\limits_{}^{}1/(x^2 +1)$ the first uses substitution and the second is equal to an inverse trig function. Hope that helps

2. Mimi_x3

Break it up: $\int\limits\frac{x}{x^{2}+1} dx+\int\limits\frac{1}{x^{2}+1} dx$ Then integrate it one by one

3. anonymous

could you show how to integrate the second part? I'm still a little confused.

4. Mimi_x3

$\int\limits\frac{1}{x^{2}+1} dx$ Is an inverse trig function. When you integrate it its $\tan ^{-1}x +C$