# Contour Integrals and Residue Theorem

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B9. Evaluate the following integrals by substituting z = e^iÎ¸ to obtain contour integrals, then use the residue theorem.

(i) âˆ«sin 2Î¸ cos 4Î¸ dÎ¸ 0--> 2 pi

(ii) âˆ«sin^2 Î¸ cos^4 Î¸ dÎ¸ 0 --> 2pi

B10. Evaluate the integral ....by contour integration.

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#### Solution Summary

Contour Integrals and Residue Theorem are investigated. The solution is detailed and well presented.

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