Question

Can someone help me with this integration?

Answer 1

\[\int\limits_{0}^{\infty}\frac{ 1 }{ x^2+1 }dx\]

Answer 2

I will be away for a while...But if you could do the steps and show the problem once I get back I will make sure to medal you! :)

Answer 3

what should be the first step since its an improper integral?

Answer 4

Here's a hint
\[\lim_{N \rightarrow \infty} \int\limits_{0}^{N}\frac{ 1 }{ 1+x ^{2} }dx\]

Answer 5

I think that is much easier to visualize, find the antiderivative of 1/1+x^2, and then find the answer to that integral, you'll get it in terms of N, and then the limit of that N to infinity and see what you get