By parameterizing the curve (not by Cauchy's theorem) and using the series of sin z, nd(adsbygoogle = window.adsbygoogle || []).push({});

the value of

∫z^k sin(z)dz around a closed Contour C where C is the unit circle z=e^(iθ), for 0≤θ<2π

What do they mean by using series of sin z ? I mean if I expand it .. I get e^(iθ)- e^(3iθ)/3! ---

and so on ..Not sure what Iam meant to do with that since its an infinite series ..Do I say for small z sinz≈z , but not sure ..

thanks

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# Complex integrals

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