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NTA Abhyas JEE Main2020MathematicsArea Under CurvesPractice

The area bounded by y = max ⁡ x 2 , x 4 , y = 1 and the y -axis from x = 0 to x = 1 is

Options

  1. A3 s q . u n i t s
  2. B3 2 s q . u n i t s
  3. C2 3 s q . u n i t s
  4. D1 2 s q . u n i t s

Correct answer

C. 2 3 s q . u n i t s

Step-by-step solution

max ⁡ x 2 , x 4 = x 2 ;   x ∈ 0,1 The required area is A = ∫ 0 1 1 - x 2 d x = x - x 3 3 0 1 = 1 - 1 3 = 2 3 sq. units

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