let-give-0-lt-lt-1-find-in-terms-of-the-value-of-integral-0-dx-x-1-x-

Question Number 28988 by abdo imad last updated on 02/Feb/18

l e t g i v e 0 < α < 1 f i n d i n t e r m s o f α t h e v a l u e o f i n t e g r a l

\int_{0}^{\infty} \frac{d x}{x^{α} (1 + x)} .