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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

Let f(x) = _ x^2 ^ x^3 dt t for x > 1 and g(x) = ₁^ x (2t^2 - t)f(t)dt(x > 1) , then :

Options

  1. Ag is increasing on (1, )
  2. Bg is decreasing on (1, )
  3. Cg is increasing on (1, 2) and decreasing on (2, )
  4. Dg is decreasing on (1, 2) and increasing on (2, )

Correct answer

A. g is increasing on (1, )

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