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KCET2021MathematicsArea Under Curves

The area of the region bounded by y=- 16-x² and X -axis is

Options

  1. A8 sq units
  2. B20 sq units
  3. C16 sq units
  4. D256 sq units

Correct answer

A. 8 sq units

Step-by-step solution

The area bounded by y= 16-x² and X -axis is shown in the figure. Area = _ -4 ⁴ y d x= _ -4 ⁴ 4²-x² d x= [ x 2 16-x² + 16 2 ⁻¹ x 4 ]_ -4 ⁴= [0+8 ⁻¹(1) ]- [ (8 ⁻¹(-1) ) ]=8 [ 2 - (- 2 ) ]=8

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