Mathematics · Complex Analysis

Let C = {z ∈ &mathbb{C} : |z| = 1/2} be a counterclockwise oriented circle. Find the value of the contour integral ∫C 1z2(z - 3) dz.

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1-4πi7
2-13πi6
3-14πi3
4-2πi9✓

Correct answer

-2πi9

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Let C = {z ∈ &mathbb{C} : |z| = 1/2} be a counterclockwise oriented circle. Find the value of the contour integral ∫C 1z2(z - 3) dz.

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Let C = {z ∈ &mathbb{C} : |z| = 1/2} be a counterclockwise oriented circle. Find the value of the contour integral ∫C 1z2(z - 3) dz.

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