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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

Given a function ' g ' continuous everywhere such that ₀^1 g(t) dt = 2 and g(1) = 5 . If f(x) = 1 2 ₀^x (x-t)^2 g(t) dt , then the value of f'''(1) - f''(1) is :

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

B. 1

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