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Question 340005
JEE Mathematics · Medium

Definite Integration and Area: King's property MCQ

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King's propertyMediumQuestion 340005

Question

∫₀^(π/2) sin x/(sin x + cos x) dx equals:
  1. A
    π/4
    Correct
  2. B
    π/2
  3. C
    1
  4. D
    0

Correct answer

π/4

Explanation

Using King's property: I = ∫₀^(π/2) cos x/(cos x + sin x) dx. Adding: 2I = ∫₀^(π/2) 1 dx = π/2. So I = π/4.

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