let-give-I-a-0-t-a-1-1-t-dt-by-using-Residus-theorem-find-the-value-of-I-a-with-0-lt-a-lt-1-

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 .