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4.08 The fundamental theorem of calculus

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Outcomes

ACMMM107

use the increments formula: δy≅dy/dx × δx to estimate the change in the dependent variable y resulting from changes in the independent variable x

ACMMM129

understand the concept of the signed area function F(x)=∫ {from a to x} f(t)dt

ACMMM130

understand and use the theorem F(x)=d/dx ( ∫ {from a to x} f(t)dt)=f(x), and illustrate its proof geometrically

ACMMM131

understand the formula ∫ {from a to b} f(x)dx= F(b)−F(a) and use it to calculate definite integrals

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