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COMEDK2015MathematicsArea Under Curves

Area bounded by the curve y=x³ , the X -axis and the ordinates at x=-2 and x=1 , is

Options

  1. A-9 sq units
  2. B- 15 4 sq units
  3. C15 4 sq units
  4. D17 4 sq units

Correct answer

D. 17 4 sq units

Step-by-step solution

aligned Required area &= | _ -2 ⁰ x³ d x |+ ₀¹ x³ d x &= | [ x⁴ 4 ]_ -2 ⁰ |+ [ x⁴ 4 ]₀¹= 16 4 + 1 4 = 17 4 squnits aligned

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