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Determine the exact volume of the solid formed when the shaded area is turned through $360^\circ$ about the $x$-axis.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram presents part of the curve whose equation is $y = \frac{1}{(5x - 4)^3}$, together with the lines $x = 2.4$ and $y = 1$. The curve meets the line $y = 1$ at the point $(1, 1)$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Calculates the cylinder volume $\pi\times1^2\times\frac{7}{5}$” …
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