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AP EAMCET202018 Sep 2020Evening ShiftMathematicsIndefinite IntegrationActual

If (f ) is integrable on ([0, a] ), then the function (h ) defined on ([0, a] ) as (h(x)= . . x [0, a] ) is integrable on ([0, a] )

Options

  1. A(f(a-x) )
  2. B(f(x-a) )
  3. C(f(x) )
  4. D(f(a) )

Correct answer

A. (f(a-x) )

Step-by-step solution

Given, (f ) is integrable an ([0, a] ) ( aligned h(x) & = ₀^a f(x) d x h(x) & = ₀^a f(a-x) d x aligned ) Hence, option (a) is correct.

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