$$\int_{|z-\frac{1}{2}|=1}\frac{e^{-iz}}{z(z-1)(z^2-1)} dz$$
I used the Residue Theorem and got this answer:
$2i\pi-\pi e^i -\frac{3}{2}\pi i e^i$
Is there also some software that can compute these so that I can do some practice as well?
$$\int_{|z-\frac{1}{2}|=1}\frac{e^{-iz}}{z(z-1)(z^2-1)} dz$$
I used the Residue Theorem and got this answer:
$2i\pi-\pi e^i -\frac{3}{2}\pi i e^i$
Is there also some software that can compute these so that I can do some practice as well?
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