Residue theorem and standard contour integrals
Why this is asked: Five standard contour patterns cover almost every exam integral. Know which contour goes with which integrand, and remember that a semicircular indentation contributes iπ·Res, not 2πi·Res.
Residue theorem — the five standard patterns
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For an integer k, consider the contour integral eᶻ/zᵏ dz. Which of the following statements are true?
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Open this in the full syllabus view · Unit 2