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VCE 12 Methods 2023

7.09 Area between curves

Interactive practice questions

Find the area enclosed between the lines $y=2x$y=2x, $y=\frac{1}{3}x$y=13x and $x=6$x=6.

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Easy
3min

Consider the functions $x+y=2$x+y=2 and $y=x$y=x.

Easy
2min

Find the area bounded between the two curves $y=\sqrt{x+5}$y=x+5 and $y=-x-3$y=x3 and the $x$x-axis.

Easy
7min

The diagram shows the shaded region bounded by $y=3$y=3, $y=0$y=0, $y=6x-x^2-8$y=6xx28, $x=0$x=0 and $x=6$x=6.

Easy
3min
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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.AoS3.21

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

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