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Question 340009
JEE Mathematics · Hard

Definite Integration and Area: JEE Main MCQ

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JEE MainHardQuestion 340009

Question

∫₀^π x sin x dx equals:
  1. A
    π
    Correct
  2. B
    0
  3. C
    2
  4. D
    π²

Correct answer

π

Explanation

By parts: ∫₀^π x sin x dx = [−x cos x]₀^π + ∫₀^π cos x dx = (−π cos π + 0) + [sin x]₀^π = π + 0 = π.

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