Question

Fourier Transform: My homework is asking me to take the fourier transform of a function that is only defined on [0,2). How do I do this using the integral formula? (Integral formula has the integral from -infinity to infinity)

Answer 1

This is the function btw: http://www.wolframalpha.com/input/?i=Piecewise%5B%7B%7B-5%2C0%3C%3Dt%3C1%7D%2C%7B4%2C1%3C%3Dt%3C2%7D%7D%5D

Answer 2

What's the context? Presumably you may assume the function is zero outside of [0,2). Then it's a straightforward Fourier.