let-I-0-1-x-1-4-1-x-3-4-x-dx-prove-that-I-isconvergent-and-find-its-value-

Question Number 34308 by prof Abdo imad last updated on 03/May/18

l e t I = \int_{0}^{+ \infty} \frac{{(1 + x)}^{- \frac{1}{4}} - {(1 + x)}^{- \frac{3}{4}}}{x} d x

p r o v e t h a t I i s c o n v e r g e n t a n d f i n d i t s v a l u e .