# Thread: How to solve this improper integral involving hyperbolic functions?

1. ## How to solve this improper integral involving hyperbolic functions?

Hello,

I want to solve this question $\displaystyle\int_0^\infty \frac{\cos{(ax)}}{\cosh{(b)}+\cosh{(x)}} dx$ where a is real and b>0.

I put this question in online integral calculator and WolframAlpha computational intelligence, But both of these calculators couldn't understand my problem.

2. ## Re: How to solve this improper integral involving hyperbolic functions?

Originally Posted by Vinod
Hello,

I want to solve this question $\displaystyle\int_0^\infty \frac{\cos{(ax)}}{\cosh{(b)}+\cosh{(x)}} dx$ where a is real and b>0.

I put this question in online integral calculator and WolframAlpha computational intelligence, But both of these calculators couldn't understand my problem.