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AP EAMCET202421 May 2024Evening ShiftMathematicsDefinite IntegrationActual

_ -1 ^1 ( 1+x+x^2 - 1-x+x^2 ) d x=

Options

  1. A2
  2. B4
  3. C0
  4. D8

Correct answer

C. 0

Step-by-step solution

aligned & _ -a ^a f(x) d x= ₀^a[f(x)+f(-x)] d x & = ₀^1 ( 1+x+x^2 - 1-x+x^2 ) d x & + ₀^1 ( 1-x+x^2 - 1+x+x^2 ) d x= ₀^1 0 d x=0 . aligned

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