Mathematics · Complex Analysis
Evaluate the contour integral ∫C sin(πz / 2)z2(z2 - 1) dz, where C = {z ∈ &mathbb{C} : |z| = 3} is oriented counterclockwise.
- 12π(π + 2)
- 20
- 3iπ(2 - π)
- 42iπ(1 - π)✓
Correct answer
2iπ(1 - π)
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