Show that the Fourier cosine and
Fourier sine transforms

Fc(f)=∫_0^∞ f(x)cos(ξx)dx
Fs(f)=∫_0^∞ f(x)sin(ξx)dx

transform derivations as follows

Fc(fx)=ξFs(f)-f(0) Fs(fx)=-ξFc(f)

の解答をお願いします。