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COMEDK2013MathematicsArea Under Curves

The area enclosed between the curves y=x³ and y= x is, (in square units)

Options

  1. A5 3
  2. B5 4
  3. C5 12
  4. D12 5

Correct answer

C. 5 12

Step-by-step solution

aligned Required area &= ₀¹ ( x -x³ ) d x &= [ 2 x^ 3 / 2 3 - x⁴ 4 ]₀¹ &= 2 3 - 1 4 = 5 12 aligned

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