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BITSAT2023MathematicsArea Under CurvesActual

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

Options

  1. A11 3 square units
  2. B12 3 square units
  3. C9 3 square units
  4. D6 3 square units

Correct answer

B. 12 3 square units

Step-by-step solution

aligned & 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 . aligned

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