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KCET2025MathematicsDefinite Integration

₀^1 ( 1 x -1 ) d x is

Options

  1. A1
  2. B0
  3. C₂ 2
  4. D_e ( 1 2 )

Correct answer

B. 0

Step-by-step solution

aligned & ₀^1 ( 1 x -1 ) d x= ₀^1 ( 1-x x ) d x & I= ₀^1 ( 1 1+0-x -1 )= ₀^1 ( 1 1-x -1 ) d x & I= ₀^1 ( 1-1+x 1-x ) d x= ₀^1 ( x 1-x ) d x & 2 I= ₀^1 ( ( 1-x x )+ ( x 1-x ) ) d x & 2 I=0 I=0 . aligned

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