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Browsing by Australian Curriculum Mathematical Methods

  1. Unit 3 Topic 2 Integrals
  2. Topic: Anti-differentiation

Sub-topics:  ACMMM114 recognise anti-differentiation as the reverse of differentiation (0)  ACMMM115 use the notation ∫f(x)dx∫fxdx for anti-derivatives or indefinite integrals (0)  ACMMM116 establish and use the formula ∫xndx=1n+1xn+1+c∫xndx=1n+1xn+1+c for n≠−1n≠-1 (0)  ACMMM117 establish and use the formula ∫exdx=ex+c∫exdx=ex+c (0)  ACMMM118 establish and use the formulas ∫sinxdx=−cosx+c∫sin⁡xdx=-cos⁡x+c and ∫cosxdx=sinx+c∫co… (0)  ACMMM119 recognise and use linearity of anti-differentiation (0)  ACMMM120 determine indefinite integrals of the form ∫f(ax+b)dx∫fax+bdx (0)  ACMMM121 identify families of curves with the same derivative function (0)  ACMMM122 determine f(x),fx, given f’(x) f’(x) and an initial condition f(a)=bfa=b (0)  ACMMM123 determine displacement given velocity in linear motion problems. (0) 

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