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JEE Main20206 Sep 2020Evening ShiftMathematicsArea Under CurvesActual

The area (in sq. units) of the region enclosed by the curves y = x 2 - 1 and y = 1 - x 2 is equal to:

Options

  1. A4 3
  2. B8 3
  3. C7 2
  4. D16 3

Correct answer

B. 8 3

Step-by-step solution

Given curves are y = x 2 - 1 and y = 1 - x 2 so intersection point are ± 1 , 0 ∴ bounded area = 4 ∫ 0 1 1 - x 2 d x = 4 x - x 3 3 0 1 = 4 1 - 1 3 8 3   sq · units

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