Evaluate $\int_{0}^{\infty} \frac{\sin{x}}{x}\,dx$

Question

how do I solve this integral ?

$$\int_{0}^{\infty} \frac{\sin{x}}{x}\,dx$$

how to start ?

I think this problem is well-known and has already been answered in this page. Possible duplicate (?) — Gonzalo Benavides, Jun 12 '19 at 01:04

score 0 · Answer 1 · answered Jun 12 '19 at 01:12

0

This integral is usually evaluated using Leibniz's rule. A full evaluation of this integral can be found here: https://en.wikipedia.org/wiki/Dirichlet_integral

answered Jun 12 '19 at 01:12

auscrypt

1 Answers1