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MHT CET2018MathematicsArea Under Curves

The area of the region bounded by x 2 = 4 y , y = 1 , y = 4 and the y- axis lying in the first quadrant is _______ square units.

Options

  1. A22 3
  2. B28 3
  3. C30
  4. D21 4

Correct answer

B. 28 3

Step-by-step solution

Required area A= ∫ 1 4 x d y = 2 ∫ 1 4 y d y A = 2 ( y 3 2 3 2 ) 1 4 A = 4 3 ( 8 − 1 ) = 4 3 ( 7 ) = 28 3

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