I tried to integrate the following and got ...ummm...0=0
Can someone plase integrate it step by step ?
(cosw/(1+w^2)) from 0 to infinity
Hello,
Uh...
If you substitute $\displaystyle w=\tan \theta$, then $\displaystyle dw=(1+w^2) d \theta$
And the integral is then :
$\displaystyle I=\int_0^{\pi/2} \cos(\tan \theta) ~d\theta$
It looks more friendly but I don't know how to solve it
Otherwise, have you ever seen the residues theorem, in complex analysis ? The very first integral may be solved with the use of this theorem..