Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram represents a section of the curve $y = x^2 + 1$.
(main)[4]

Find the volume formed when the shaded region is turned through $360^\circ$ about the $y$-axis.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies the volume of revolution integral $V = \pi \int x^2 \, dy$

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