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AustraliaVIC
VCE 12 Methods 2023

7.08 The definite integral and areas under curves

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Outcomes

U34.AoS3.7

informal consideration of the definite integral as a limiting value of a sum involving quantities such as area under a curve and approximation of definite integrals using the trapezium rule

U34.AoS3.9

properties of anti-derivatives and definite integrals

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

U34.AoS3.21

apply definite integrals to the evaluation of the area under a curve and between curves over a specified interval

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