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MHT CET20226 Aug 2022Evening ShiftMathematicsDefinite IntegrationActual

The value of the integral ₀^1 1-x 1+x d x is

Options

  1. A( 2 )-1
  2. B-1
  3. C( 2 )+1
  4. D1

Correct answer

A. ( 2 )-1

Step-by-step solution

aligned & ₀^1 1-x 1+x d x= ₀^1 1-x 1-x^2 d x= ₀^1 d x 1-x^2 + ₀^1 -2 x 2 1-x^2 d x & = [ ⁻¹ x ]₀^1+ [ 1-x^2 ]₀^1 & = ⁻¹(1)- ⁻¹(0) + 1-1^2 - 1-0^2 & = 2 -0+0-1 & = 2 -1 aligned

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