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AP EAMCET2008MathematicsArea Under Curves

The area (in sq unit) of the region bounded by the curves 2 x=y^2-1 and x=0 is

Options

  1. A1 3
  2. B2 3
  3. C1
  4. D2

Correct answer

B. 2 3

Step-by-step solution

Given curve can be rewritten as y^2=2 (x+ 1 2 ) Required area = _ -1 ^1 x d y aligned & =2 ₀^1 y^2-1 2 d y & = | [ y^3 3 -y ]₀^1 | & = | [ 1 3 -1 ] |= 2 3 sq unit aligned

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