Year 12 · Specialist Mathematics

Applications of integration

Free examples and worked answers. No account needed.

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Practise the method.

Volumes of revolution and accumulated quantities.

Example 1

x3D orthographic view · equal spatial units
Move the gold disk through the solid and rotate the view. Its radius follows y = √x; the x-axis is the axis of rotation.
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Example 2

-0.357.35-9.8108t (s)velocity
Move the time probe to inspect the velocity graph. Optional shading represents distance over the chosen interval. Axes use different scales.
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Example 3

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