prove-that-0-t-a-1-1-t-dt-pi-sin-pia-that-we-know-0-lt-a-lt-1-

Question Number 35218 by abdo.msup.com last updated on 16/May/18

p r o v e t h a t \int_{0}^{\infty} \frac{t^{a - 1}}{1 + t} d t = \frac{π}{s i n (π a)}

t h a t w e k n o w 0 < a < 1 .