Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram displays a section of the curve with equation $y^2 = x - 2$ together with the lines $x = 5$ and $y = 1$. The shaded area bounded by the curve and the lines is turned through $360^\circ$ around the $x$-axis.
(main)[6]

Find the volume produced.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Intersection with $y=1$ found at $x=3$” …

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