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NTA Abhyas JEE Main2020MathematicsArea Under CurvesPractice

The area bounded by the curve y = 1 2 x 2 , x -axis and x = 2 is

Options

  1. A1 3 s q u n i t
  2. B2 3 s q u n i t
  3. C1 s q u n i t
  4. D4 3 s q u n i t

Correct answer

D. 4 3 s q u n i t

Step-by-step solution

Required area = ∫ 0 2 y d x = ∫ 0 2 x 2 2 d x = x 3 6 0 2 = 4 3 s q u n i t

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