-1
$\begingroup$

I just need to know if this integral converges. If it does, what is the value?

If not can anyone tell me what is the value of the $$ \int_{-\infty}^\infty 2\,\frac{\cos(w)\sin(w)}{w}\ dw ? $$

  • 1
    Check out the [Dirichlet integral](http://en.wikipedia.org/wiki/Dirichlet_integral).2012-12-12

3 Answers 3