Use Definition 18.1.1 to show for any smooth curve C between z0 and zn that C z dz 1 2(z
Chapter 18, Problem 30(choose chapter or problem)
Use Definition 18.1.1 to show for any smooth curve C between \(z_{0}\) and \(z_{n}\) that \(\int_{C} z d z=\frac{1}{2}\left(z_{n}^{2}-z_{0}^{2}\right)\). [Hint: The integral exists, so choose \(z_{k}^{*}=z_{k}\) and \(z_{k}^{*}=z_{k-1}\).]
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