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Manipal MET2017MathematicsArea Under Curves

The area between y^2+4 x-8=0 , the x -axis and the line x=1 is

Options

  1. A4 3 sq unit
  2. B2 3 sq unit
  3. C1 3 sq unit
  4. D1 sq unit

Correct answer

A. 4 3 sq unit

Step-by-step solution

Given equation can be rewritten as y^2=-4(x-2) Required area =2 ₁^2 y d x= ₁^2 8-4 x d x aligned & = [ (8-4 x)^ 3 / 2 3 2 (-4) ]₁^2=- 1 6 [0-8] & = 4 3 sq unit aligned

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