Let f(t) be the even function that is zero if t>1, and is given by the straight line 1 -t on [0,1]. Find the Fourier transform of f(t), and use it to evaluate the integrals from 0 to infinity for
Let f(t) be the even function that is zero if t>1, and is given by the straight line 1 -t on [0,1]. Find the Fourier transform of f(t), and use it to evaluate the integrals from 0 to infinity for