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AP EAMCET2007MathematicsArea Under Curves

The area (in square unit) of the region enclosed by the curves y=x^2 and y=x^3 is

Options

  1. A1 12
  2. B1 6
  3. C1 3
  4. D1

Correct answer

A. 1 12

Step-by-step solution

Given curves are y=x^2 and y=x^3 . Intersection point is (1,1) . aligned Area & = ₀^1 (x^2-x^3 ) d x & = [ x^3 3 - x^4 4 ]₀^1 & = 1 3 - 1 4 = 1 12 sq unit aligned

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