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Parameterized curve integral

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Please show all steps to solution (see attached)

Let be the curve parameterized by ζ(t) = for Evaluate the integral dz

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Solution Summary

This provides an example of working with an integral on a parameterized curve.

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z^2 = e^{2i.pi. t }

and

dz/dt = i . pi . e^{ pi. i . t } ...

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