Find the fourier transform of the unit rectangular distribution f(t) = 1 for ltl<1 else 0(adsbygoogle = window.adsbygoogle || []).push({});

Since e^{-iωt}is zero except for t in ]-1;1[ it must be an integral over this interval. But should I take the boundaries as -1 and 1? Because they are not included in the interval where e^{-iωt}is not zero but rather supremum and infimum for it. Would it better to put the limits lim t->1 and lim t->-1?

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# Fourier transform - what integral limits

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