Mathematical Topics:


Analysis 3 (Integrals)

Subject 1: Indefinite Integral: The notion of primitive, constant of integration.

  • Find the indefinite integral of:
  • Level 1 : f(x)dx
  • Level 2 : [f(x) + g(x)]dx
  • Level 3 : f(ax + b)dx

Subject 2: Finding a function by its derivative and one of its values.

  • Level 1: Find F(x) given G(x) = SIN(x) - 1/x, F'(x) = G'(x) and G(2) = -1
  • Level 2: Find F(x) given F(2) = -1 and F'(x) = -x2 + 3x
  • Level 3: Find F(x) given F(0) = 2 and F'(x) = COS(x)
  • Level 4: Find F(x) given F(1) = 3 and F'(x) = (3x-1)
  • Level 5: Find F(x) given F(0) = 0.5 and F'(x) = SIN(x+2)

Subject 3: Calculation of area and volume of revolution.

  • Level 1 : The area bounded by the graph of f and the x-axis
  • Level 2 : The area bounded by the graphs of f and g
  • Level 3 : The volume of a solid of revolution



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