Hi

I am trying to calculate the Fourier transformation of the function

f(x)=exp(-x)*(the characteristic function running from 0 to 1, both included)

what I have got so far is this

|f_hat(gamma)|=|int_from -infinty to infinity (f(x)*exp(-2*pi*i*x*gamma)dx)|

= int_o to 1(exp(-x)*exp(-2*pi*i*x*gamma)dx)

and then what? Have I made a mistake somewhere along the way or is it simply a case of having got stuck?

thanks in advance