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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

**Paragraph for Question Nos. 15 to 16** Let f(x) = 1 + ₀^1 (xe^y + ye^x) f(y) dy where x and y are independent variables. If complete solution set of 'x' for which function h(x) = f(x) + 3x is strictly increasing is (- , k) then [ 4 3 e^k ] equals to : (where [ ] denotes greatest integer function):

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

C. 3

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