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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

**Paragraph for Question Nos. 12 to 13** Let f₀(x) = x and for n 0 and x > 0 Let f_ n+1 (x) = ₀^x f_n(t) dt then : f₃(x) equals :

Options

  1. Ax^3 3 ( x - 5 6 )
  2. Bx^3 3 ( x - 11 6 )
  3. Cx^3 6 ( x - 11 6 )
  4. Dx^3 6 ( x - 5 6 )

Correct answer

C. x^3 6 ( x - 11 6 )

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