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AP EAMCET2004MathematicsArea Under Curves

The area bounded by y=x^2+2, x -axis, x=1 and x=2 is

Options

  1. A16 3 sq unit
  2. B17 3 sq unit
  3. C13 3 sq unit
  4. D20 3 sq unit

Correct answer

C. 13 3 sq unit

Step-by-step solution

aligned & Required area = Area of curve A B C D & = ₁^2 y d x= ₁^2 (x^2+2 ) d x= [ x^3 3 +2 x ]₁^2 & = ( 8 3 +4 )- ( 1 3 +2 )= 20 3 - 7 3 = 13 3 sq unit aligned

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