let-give-I-0-1-ln-x-1-x-dx-and-J-0-1-ln-1-x-x-dx-1-prove-the-existence-of-I-and-J-2-calculate-I-J-and-2I-J-3-find-I-and-J-

Question Number 34216 by abdo imad last updated on 02/May/18

l e t g i v e I = \int_{0}^{1} \frac{l n (x + 1)}{x} d x a n d J = \int_{0}^{1} \frac{l n (1 - x)}{x} d x

1) p r o v e t h e e x i s t e n c e o f I a n d J

2) c a l c u l a t e I + J a n d 2 I + J

3) f i n d I a n d J .