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BITSAT2009MathematicsDefinite IntegrationActual

Evaluate : ( ₀^1 dx 2- x ^2 ).

Options

  1. A( / 4 )
  2. B( )
  3. C( / 2 )
  4. D( / 3 )

Correct answer

A. ( / 4 )

Step-by-step solution

( aligned & dx 2- x ^2 = ⁻¹ x 2 + c & So ₀^1 dx 2- x ^2 = . ⁻¹ x 2 |₀ ^1 = & ⁻¹ ( 1 2 )+c- ⁻¹(0)-c= 4 -0= 4 aligned )

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