During my research this integral has shown up

$ \frac{1}{2T} \int_{-T}^T \left( 1 - \frac{|\tau|}{T}\right)e^{-\alpha\tau^2}\cos(2\pi f_0 \tau) d\tau$

I tried to solved by taking the real part of a the complex exponential but it didn't work. Any help?

Cheers,

Mikitov

reasonablequestions shouldn't be hard to answer :). – fedja Jan 7 '11 at 4:20