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Question 340003
JEE Mathematics · Easy

Definite Integration and Area: Area under curve MCQ

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Area under curveEasyQuestion 340003

Question

The area under y = f(x) from x = a to x = b (f(x) ≥ 0) is:
  1. A
    ∫ₐᵇ f(x) dx
    Correct
  2. B
    ∫ₐᵇ |f(x)| dx
  3. C
    f(b) − f(a)
  4. D
    f'(b) − f'(a)

Correct answer

∫ₐᵇ f(x) dx

Explanation

When f(x) ≥ 0 on [a,b], the area under the curve = ∫ₐᵇ f(x) dx. When f(x) can be negative, area = ∫ₐᵇ |f(x)| dx.

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