My problem is with the infinite boundaries. The first integral is simple since is done from -∞ to 0 and it makes the limit of exponential part will be zero But I am confused about the second one since its boundaries are from 0 to ∞ and I can get it how the limit of exponential part of this...
Homework Statement
calculate the Fourier Transform of the following function:
Homework Equations
x(t) = e-|t| cos(2t)
The Attempt at a Solution
∫0-∞ et ((e2jt + e-2jt) / 2) e-jωt + ∫∞0 e-t ((e2jt + e-2jt) / 2) e-jωt
The first integral is easy to calculate and equals: (1/2) *...