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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

Let ' f ' is a function, continuous on such that f(x) 5 ; x and f(x) 2 x ; x [ 1 2 , 1] then the smallest ' a ' for which ₀^1 f(x) dx a holds for all ' f ' is:

Options

  1. A5
  2. B5 2 + 2 2
  3. C2 + ( 5 2 )
  4. D2 + 2 ( 5 2 )

Correct answer

D. 2 + 2 ( 5 2 )

Step-by-step solution

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