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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

**Paragraph for Question Nos. 9 to 11** Let f(x) be function defined on such that f(1) = 0 and for any a (0, 1] , ₀^a f(x) dx - _a^1 f(x) dx = 2f(a) + 3a + b where b is constant. The length of the subtangent of the curve y = f(x) at x = 1/2 is :

Options

  1. Ae - 1
  2. Be - 1 2
  3. Ce + 1
  4. De + 1 2

Correct answer

A. e - 1

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