$\int_{0}^{1} e^{-2\pi itf}~ dt \neq $ FT of piecewise representation?

42 Views Asked by At

What's happening here? Why aren't these 2 inputs identical?

enter image description here enter image description here enter image description here

When I use the integral, it gives the result for if the rectangular pulse were to the left side of the y axis in the time domain