Using Residue Theorem to Evaluate a Definite Integral

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look at 5:20, you wrote the original function as 1/(2(root_1)(root_2)) where when you have roots you only write the roots: 1/((z+0.5i)(z+2i))

yuvalpaz
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I dont know where you'd made a mistake but wolfram alpha and my calculator both yield the same result which is 2pi/3

quiveror