2.6.1.11 Fourier Integral

Condition: Find the transformation of Fourier \ [\ widehat {f} (y) = \ frac {1} {\ sqrt {2 \ pi}} \ int _ \ infty}^{+\ infty} f (x) e^} d x \] function \ (( f (x) = e^{-| x |} \ cos \ omega x \).