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AustraliaVIC
VCE 12 Methods 2023

7.07 Approximate areas under curves

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Outcomes

U34.AoS3.10

application of integration to problems involving finding a function from a known rate of change given a boundary condition, calculation of the area of a region under a curve and simple cases of areas between curves, average value of a function and other situations.

U34.AoS3.14

the concept of approximation to the area under a curve using the trapezium rule, the ideas underlying the fundamental theorem of calculus and the relationship between the definite integral and area

U34.AoS3.20

evaluate approximations to the area under a curve using the trapezium rule, find and verify antiderivatives of specified functions and evaluate definite integrals

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