Application of Integrals · Class 12 · CBSE · Science Mathematics

The area enclosed between the curves y = 2x and y = x² is:

Practice question from Application of Integrals (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-553016

The area enclosed between the curves y = 2x and y = x² is:

  1. A.1/3 square unit
  2. B.2/3 square unit
  3. C.4/3 square unitsCorrect answer
  4. D.8/3 square units

Solution

The curves intersect at x=0x=0 and x=2x=2. Since 2x≥x22x \geq x^2 on this interval, the area is ∫02(2x−x2) dx=43\int_0^2(2x-x^2)\,dx = \frac{4}{3} square units.

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