Evaluate the integral using residue theorem , be sure to specify poles and orders | 16dx...

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Evaluate the integral using residue theorem , be sure to specify poles and orders

| 16dx Jooo (x2+4)3

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Answer 1

Answer #1

- We move to complex plane and analyze the integral 16 de (2+4)3 upper where c is hall complex countor in plane to 4 -R Ris s But, is only bole which lies inside countor C in uppen half bland we calculate residue of fat zi, W 962) - (zzi? $(2) Rostf

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Answer : $\frac{ 3 \pi }{ 16}$

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Answer 2

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