let-I-0-pi-2-sinx-1-sinxcosx-dx-and-J-0-pi-2-cosx-1-sinx-cosx-dx-1-calculate-I-J-2-find-I-and-J-

Question Number 30185 by abdo imad last updated on 17/Feb/18

l e t I = \int_{0}^{\frac{π}{2}} \frac{s i n x}{\sqrt{1 + s i n x c o s x}} d x a n d

J = \int_{0}^{\frac{π}{2}} \frac{c o s x}{\sqrt{1 + s i n x c o s x}} d x

1) c a l c u l a t e I + J

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