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Calculate the volume obtained.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram depicts a portion of the curve with equation $y = x^2 + 1$. The shaded area enclosed by the curve, the $y$-axis and the line $y = 5$ is rotated 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: “Sets up the integral $(\pi)\int (y-1)\,dy$ or a matching equivalent” …
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