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Question 340004
JEE Mathematics · Medium

Definite Integration and Area: Symmetry MCQ

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SymmetryMediumQuestion 340004

Question

If f(x) is an odd function, then ∫₋ₐᵃ f(x) dx equals:
  1. A
    0
    Correct
  2. B
    2∫₀ᵃ f(x) dx
  3. C
    f(a)−f(−a)
  4. D
    2f(a)

Correct answer

0

Explanation

For odd function f(−x) = −f(x): ∫₋ₐᵃ f(x) dx = ∫₋ₐ⁰ f(x) dx + ∫₀ᵃ f(x) dx = −∫₀ᵃ f(x) dx + ∫₀ᵃ f(x) dx = 0.

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