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Manipal MET2018MathematicsArea Under Curves

The area in square unit enclosed by the curve x^2 y=36 , the x -axis and the lines x=6 and x=9 is

Options

  1. A2 sq unit
  2. B1 sq unit
  3. C4 sq unit
  4. D3 sq unit

Correct answer

D. 3 sq unit

Step-by-step solution

aligned Required area & = ₆^9 36 x^2 d x= [- 36 x ]₆^9 & =-36 [ 1 9 - 1 6 ]=3 sq unit aligned

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