Mathematics · Complex Analysis
Let C be the positively oriented circle |z| = 2. Consider I = ∫C ezz2 + 1 dz. Which of the following is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1I = 2πie-i
- 2I = 0, because ez is everywhere analytic
- 3I = 2πi [Res(z=i) ezz2 + 1 + Res(z=-i) ezz2 + 1]✓
- 4I = 2πiei
Correct answer
I = 2πi [Res(z=i) ezz2 + 1 + Res(z=-i) ezz2 + 1]
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