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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

**Paragraph for Question Nos. 3 to 4** Let f(x) be a twice differentiable function defined on (- , ) such that f(x) = f(2 - x) and f' ( 1 2 ) = f' ( 1 4 ) = 0 . Then ₀^2 f(1 - t) e^ t dt - ₀^2 f(2 - t) e^ t dt is equal to :

Options

  1. A₀^2 f'(t) e^ t dt
  2. B1
  3. C2

Correct answer

A. ₀^2 f'(t) e^ t dt

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