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Does this complex contour integral equal 0?

[Int] (z^2)/(sin z) dz along the closed contour e^2(pi)(i)(t) 0<t<1

It should equal zero cause its analytic in the domain around te curve and the zero in the numerator is of higher order than the zero in the denominator at the point z=0.

thanks

Lizzie11

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# Complex integral

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