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BITSAT2011MathematicsDefinite IntegrationActual

Let ( I ₁= ₁^2 1 1+ x ^2 dx ) and ( I ₂= ₁^2 1 x d x ), then

Options

  1. A( I ₁ > I ₂ )
  2. B( I ₂ > I ₁ )
  3. C( I ₁= I ₂ )
  4. DNone of these

Correct answer

B. ( I ₂ > I ₁ )

Step-by-step solution

If (I₁= ₁^2 dx 1+ x ^2 , I₂= ₁^2 dx x ) (I₁= n ( 2+ 5 1+ 2 ), I₂= n 2 I₁ < I₂ )

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