Use Contour Integration To Show That The Complex Fourier Transform Of F(X):=Cosh2(X)1 Is F^(K)=Sinh(2πk)Πk. (Where The Complex Fourier Transform Of F(X) Is Defined To Be F^(K)=∫−[infinity][infinity]F(X)E−Ikxdx ). [ Hint: You May Use The Fact That Cosh2(X)=21+Cosh(2x)]