find-F-x-0-pi-ln-1-x-sin-2-t-dt-with-x-lt-1-2-calculate-0-pi-ln-1-1-2-sin-2-t-dt-

Question Number 35046 by math khazana by abdo last updated on 14/May/18

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

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