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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

**Paragraph for Question Nos. 14 to 15** Let f : R [- 3 4 , ) be a surjective quadratic function with line of symmetry 2x - 1 = 0 and f(1) = 1 If g(x) = f(x) + f(-x) 2 then dx g(e^x) - 2 is equal to : *(Where C is constant of integration)*

Options

  1. A⁻¹(e^ -x ) + C
  2. B⁻¹(e^x) + C
  3. C⁻¹(e^ -x ) + C
  4. D⁻¹(e^x) + C

Correct answer

B. ⁻¹(e^x) + C

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