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Question: int gives wrong answer for improper integral

Question:int gives wrong answer for improper integral

jschatzman 10 Maple 2022
integration syntax pi improper-integral
October 01 2022
2
int(sin(x)/x*exp(-2*I*pi*f*x), x = -infinity .. infinity) gives the incorrect answer pi. The correct answer is pi for abs(f)<1/(2*pi) and 0 otherwise. For a variation of this, int(sin(x)/x*exp(-2*I*pi*9*x), x = -infinity .. infinity) gives pi as the result, whereas the correct answer is 0. How can this be fixed? A related question: is there a better way to define the sinc function in Maple?
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