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calculate-1-ix-1-ix-m-n-dx-1-x-2-dx-with-m-and-n-integrs-




Question Number 37233 by abdo.msup.com last updated on 11/Jun/18
calculate  ∫_(−∞) ^(+∞)   (((1+ix)/(1−ix)))^(m−n)    (dx/(1+x^2 )) dx  with m and n  integrs
$${calculate} \\ $$$$\int_{−\infty} ^{+\infty} \:\:\left(\frac{\mathrm{1}+{ix}}{\mathrm{1}−{ix}}\right)^{{m}−{n}} \:\:\:\frac{{dx}}{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx}\:\:{with}\:{m}\:{and}\:{n} \\ $$$${integrs}\: \\ $$

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