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Question 340002
JEE Mathematics · Easy

Definite Integration and Area: Properties MCQ

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PropertiesEasyQuestion 340002

Question

∫ₐᵇ f(x) dx = −∫ᵦₐ f(x) dx. This property states:
  1. A
    Reversing limits negates the integral
    Correct
  2. B
    The integral is symmetric
  3. C
    Integral is always positive
  4. D
    Limits can be swapped freely

Correct answer

Reversing limits negates the integral

Explanation

Swapping the limits of integration reverses the sign: ∫ₐᵇ f(x) dx = −∫ᵦₐ f(x) dx. This is a fundamental property of definite integrals.

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