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MHT CET2010MathematicsDefinite Integration

If ₀¹ ⁻¹ x d x=p , then the value of ₀¹ ⁻¹ ( 1-x 1+x ) d x is

Options

  1. A4 +p
  2. B4 -p
  3. C1+p
  4. D1-p

Correct answer

B. 4 -p

Step-by-step solution

aligned ₀¹ ( 1-x 1+x .&) d x &= ₀¹ [ ⁻¹(1)- ⁻¹(x) ] d x &= ₀¹ 4 d x- ₀¹ ⁻¹(x) d x &= 4 -p aligned

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