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## Homework Statement

Need to evaluateint(0,inf)((x^(a-1))/(1-x))dx by contour integration and the residue theorem, where a < 1. The solution is pi*cot((a-1)*pi). I'm not sure how to choose the contour to integrate around.

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- Thread starter NT123
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- #1

- 28

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int(0,inf)((x^(a-1))/(1-x))dx by contour integration and the residue theorem, where a < 1. The solution is pi*cot((a-1)*pi). I'm not sure how to choose the contour to integrate around.

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