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AP EAMCET20226 Jul 2022Morning ShiftMathematicsDefinite IntegrationActual

_ -a ^a f(x) d x- ₀^a f(-x) d x=

Options

  1. A_ -a ^a f(a-x) d x
  2. B_ -a ^a f(x)+f(a-x) d x
  3. C₀^a f(x)+f(a-x) d x
  4. Df(a x) d x

Correct answer

D. f(a x) d x

Step-by-step solution

aligned & _ -a ^a f(x) d x- ₀^a f(-x) d x & _ -a ^a f(x) d x= ₀^a f(x) d x+ ₀^a f(-x) d x & ₀^a f(x) d x aligned by using ( a +0- x ) property ₀^a f ( a - x ) dx

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