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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

Maximum value of the function f(x) = ^2 ₀^1 t (x + t) dt over all real number x :

Options

  1. A^2 + 1
  2. B^2 + 2
  3. C^2 + 3
  4. D^2 + 4

Correct answer

D. ^2 + 4

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