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JEE Main202124 Feb 2021Evening ShiftMathematicsArea Under CurvesActual

The area of the region: R = x , y : 5 x 2 ≤ y ≤ 2 x 2 + 9 is

Options

  1. A9 3 square units
  2. B12 3 square units
  3. C11 3 square units
  4. D6 3 square units

Correct answer

B. 12 3 square units

Step-by-step solution

Required area = 2 ∫ 0 3 2 x 2 + 9 - 5 x 2 d x = 2 9 x - x 3 0 3 = 2 9 3 - 3 3 = 12 3 square units

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