Thread: fourier transform integration problem

The problem is t(x)=I(0)exp(-a(x)) which is also roughly equal to =I(0)[1-a(x)] but what if we have s(x)=t(xo-m*cos(wt))

find the fourier transform of s(x):
which is given by:
S(y)= int(s(x)*exp(-i*x*y))dx
= int(t(xo-m*cos(wt)*exp(-i*xo*y))dxo
and now is where i get lost the next line in the solution is:
= exp(-i*m*y*cos(wt))*int(t(xo)*exp(-i*xo*y))dxo
i dont understand how they took out the mcos(wt) from the integration, can someone help giving me direction to get to this line before continuing

Your post is difficult to read. Can you rewrite it using Latex?

we have we have


fourier transform

this is the line i am lost line ,i dont understand how they took out the mcos(wt) from the integration, can someone help giving me direction to get to this line before continuing