2.6.1.11 Fourier integral

condition: Find the Fourier transform \[ \widehat{f}(y)=\frac{1}{\sqrt{2 \pi}} \int_{-\infty}^{+\infty} f(x) e^{i y x} d x \] function \( f(x)=e^{-|x|} \cos \omega x \).