Solving an Integral Without Software: Step-by-Step

[mashjavad]

I want you to solve me a following problem without any software and explain me step to step:

int(exp(-x)*sin(a*x)/(x),x=0..infinity);
thenk you

 

[berkeman]

Thread moved to the homework forums. Welcome to the PF, mashjavad. Please tell us what you know already about integration. What learning resources do you have available?

 

[NTUENG]

Hi mashjavad,

Looks like integration by parts doesn't solve the integral. It takes the form (e^-x sin ax)/x. I used mathematical software to evaluate and obtained exponential integrals with complex numbers in the result. I tink this involves incomplete gamma functions or numerical methods of integration.

Sorry couldn't help much.