Question

$\int _ { 0 } ^ { \pi / 2 } \frac { \sqrt { \sin x } } { \sqrt { \sin x } + \sqrt { \cos x } } d x$ equals

• A. p/2
• B. p/4
• C. p
• D. 2p

Answer 1

Answer: (B)

p/4

Answer 2

Using property P-4, we have

I = $\int _ { 0 } ^ { \pi / 2 } \frac { \sqrt { \cos x } } { \sqrt { \cos x } + \sqrt { \sin x } } d x$

Adding it to given integral we have

2I = = = p/2

\ I = p/4