let give I_a = ∫_0 ^(+∝) (t^(a−1) /(1+t))dt by using Residus theorem find the value of I


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Question Number 28068 by abdo imad last updated on 19/Jan/18

$l e t g i v e I_{a} = \int_{0}^{+ \propto} \frac{t^{a - 1}}{1 + t} d t b y u s i n g R e s i d u s t h e o r e m$ $f i n d t h e v a l u e o f I_{a} w i t h 0 < a < 1 .$
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