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MHT CET20225 Aug 2022Evening ShiftMathematicsIndefinite IntegrationActual

1+x 1-x d x= (where C is a constant of integration.)

Options

  1. A⁻¹ x- 1-x^2 +C
  2. B1-x^2 - x +C
  3. C- 1-x^2 + 1+x +C
  4. D⁻¹ x+ 1-x^2 +C

Correct answer

A. ⁻¹ x- 1-x^2 +C

Step-by-step solution

aligned & 1+x 1-x ~d x= (1+x)^2 1-x^2 ~d x= 1 1-x^2 + x 1-x^2 d x & = ⁻¹ x- 1 2 2 1-x^2 & = ⁻¹ x- 1-x^2 +C aligned

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