PLEASE SOLVE AND GIVE CORRECT ANSWER
Question 63 of 90
The value of $\int_{0}^{π / 2} \frac{\sqrt{\sin x}}{\sqrt{\sin x} + \sqrt{\cos x}} d x$ is
1. p/2
2. p/3
3. $π$ /4
4. p

Question

PLEASE SOLVE AND GIVE CORRECT ANSWER
Question 63 of 90
The value of ∫ 0 π / 2 sin   x sin   x + cos
  x   d x is
1 p/2
2 p/3
3 π /4
4 p

Varun Rawat · Accepted Answer

Let I = ∫0π/2 sin xsin x + cos xdx    
1⇒I = ∫0π/2 sinπ2 - xsinπ2-x + cosπ2-xdx⇒I = ∫0π/2cos xcos x + sin x dx    
2Adding 1 and 2, we get2I = ∫0π/2 sin x + cos xsin x + cos xdx⇒2I = ∫0π/2 dx⇒2I = x0π/2⇒2I = π2⇒I = π4

PLEASE SOLVE AND GIVE CORRECT ANSWER Question 63 of 90 The value of ∫ 0 π / 2 sin x sin x + cos x d x is 1. p/2 2. p/3 3. π /4 4. p

PLEASE SOLVE AND GIVE CORRECT ANSWER
Question 63 of 90
The value of $\int_{0}^{π / 2} \frac{\sqrt{\sin x}}{\sqrt{\sin x} + \sqrt{\cos x}} d x$ is
1. p/2
2. p/3
3. $π$ /4
4. p