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4.01 Introduction to anti-differentiaion

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Outcomes

ACMMM114

recognise anti-differentiation as the reverse of differentiation

ACMMM115

use the notation ∫ f(x) dx for anti-derivatives or indefinite integrals

ACMMM116

establish and use the formula ∫x^n dx=1/(n+1) x^(n+1)+c for n≠−1

ACMMM119

recognise and use linearity of anti-differentiation

ACMMM121

identify families of curves with the same derivative function

ACMMM122

determine f(x), given f′(x) and an initial condition f(a)=b

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