Integrals
NCERT Class 12
CBSE
Grade 12
Question:
The value of $\int_0^{\pi/2} \dfrac{\sqrt{\sin x}}{\sqrt{\sin x} + \sqrt{\cos x}} dx$ is:
(a) $\dfrac{\pi}{4}$
(b) $\dfrac{\pi}{2}$
(c) $0$
(d) $\pi$
Step-by-Step Solution
Applying King's Property: $2I = [x]_0^{\pi/2} = \pi/2 \Rightarrow I = \pi/4$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Evaluating integral $= \pi/4$: 1.0 Mark
Correct Answer: $\dfrac{\pi}{4}$
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