Question:
The integral
\[
\int_0^{\frac{\pi}{2}} \frac{\sqrt{\sin x + \cos x}}{\sin x + \cos x} \, dx
\]
is equal to
The integral
\[
\int_0^{\frac{\pi}{2}} \frac{\sqrt{\sin x + \cos x}}{\sin x + \cos x} \, dx
\]
is equal to
Show Hint
To solve integrals involving trigonometric functions, use appropriate trigonometric identities and substitution techniques.
Updated On: Dec 11, 2025
- 1
- \( \frac{\pi}{2} \)
- \( \frac{\pi}{4} \)
- \( \frac{\pi}{3} \)
Show Solution
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The Correct Option is C
Solution and Explanation
The given integral simplifies after substitution and integration, leading to the value \( \frac{\pi}{4} \).
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