find-0-pi-2-ln-1-x-sin-d-with-0-lt-x-lt-1-2-calculate-0-pi-2-ln-1-1-2-sin-d-

Question Number 33297 by abdo imad last updated on 14/Apr/18

f i n d \int_{0}^{\frac{π}{2}} l n (1 + x s i n θ) d θ w i t h 0 < x < 1

2) c a l c u l a t e \int_{0}^{\frac{π}{2}} l n (1 + \frac{1}{2} s i n θ) d θ