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Question 340007
JEE Mathematics · Medium

Definite Integration and Area: Area between curves MCQ

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Area between curvesMediumQuestion 340007

Question

The area between y = x² and y = x from x = 0 to x = 1 is:
  1. A
    1/6
    Correct
  2. B
    1/2
  3. C
    1/3
  4. D
    1/4

Correct answer

1/6

Explanation

On [0,1]: x ≥ x². Area = ∫₀¹ (x − x²) dx = [x²/2 − x³/3]₀¹ = 1/2 − 1/3 = 1/6.

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