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Question 340015
JEE Mathematics · Hard

Definite Integration and Area: Mixed MCQ

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MixedHardQuestion 340015

Question

∫₀^(π/2) sin²x dx equals:
  1. A
    π/4
    Correct
  2. B
    π/2
  3. C
    1/2
  4. D
    1

Correct answer

π/4

Explanation

sin²x = (1−cos 2x)/2. ∫₀^(π/2) (1−cos 2x)/2 dx = [x/2 − sin 2x/4]₀^(π/2) = (π/4 − 0) − 0 = π/4.

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