let I= ∫_0 ^(π/2) ((sinx)/(√(1+sinxcosx)))dx and J= ∫_0 ^(π/2) ((cosx)/(√(1+sinx cosx))) dx 1) calculate I +J 2) find I and J.


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

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