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Find, showing all necessary working, the volume formed when the shaded region is rotated through $360^\circ$ about the $x$-axis.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram illustrates a section of the curve $y = \sqrt{x^3 + 1}$ together with the point $P(2, 3)$ on the curve.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Make a valid attempt to express $y^2$ and then integrate $(\pi)\int (x^3+1)dx$” …
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