1. Help with integration

I am unable to solve the following problem. I have tried all methods including the by parts method and substitution but the problem is never ending.

$\int e^x\div(1+x^2)dx$

2. Originally Posted by nolanfan
I am unable to solve the following problem. I have tried all methods including the by parts method and substitution but the problem is never ending.

$\int e^x\div(1+x^2)dx$
It can't be done using a finite number of elementary functions. Where has the integral come from? Is it meant to be a definite integral?

3. Originally Posted by mr fantastic
It can't be done using a finite number of elementary functions. Where has the integral come from? Is it meant to be a definite integral?
Actually it is a definite integral. Since it was also unsolvable, I tried to find out its indefinite integral. The limits are from 0 to $\alpha$ (infinity)