let-f-x-0-pi-2-ln-cos-xsin-d-with-x-fromR-1-determine-a-explicit-form-for-f-x-2-calculate-0-pi-2-ln-cos-sin-d-and-0-pi-2-ln-cos-2sin-d-

Question Number 59052 by maxmathsup by imad last updated on 04/May/19

l e t f (x) = \int_{0}^{\frac{π}{2}} l n (c o s θ + x s i n θ) d θ w i t h x f r o m R

1) d e t e r m i n e a e x p l i c i t f o r m f o r f (x)

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