How can I evaluate $\int_0^\infty \frac{\sin x}{x} \,dx$? [may be duplicated]

Question

How can I evaluate $\displaystyle\int_0^\infty \frac{\sin x}{x} \, dx$? (Let $\displaystyle \frac{\sin0}{0}=1$.)

I proved that this integral exists by Cauchy's sequence.

However I can't evaluate what is the exact value of this integral.

score 3 · Accepted Answer · answered Jun 06 '13 at 09:46

3

answered Jun 06 '13 at 09:46

Mher

1 Answers1