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NDA2022MathematicsDefinite IntegrationActual

What is ₀^1 ( 1 x -1 ) d x equal to?

Options

  1. A-1
  2. B0
  3. C1
  4. D2

Correct answer

B. 0

Step-by-step solution

aligned & I= ₀^1 ( 1 x -1 ) d x= ₀^1[ (1-x)- x] d x & = ₀^1 (1-x) d x- ₀^1 x d x & = ₀^1 (1-x) d x- ₀^1 (1-x) d x=0 aligned

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