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Determine, in terms of $\pi$, the volume produced when this region is turned through $360^circ$ about the $x$-axis.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram displays the area bounded by the curve $y = \frac{6}{2x - 3}$, the $x$-axis and the vertical lines $x = 2$ and $x = 3$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct use of $y^2 = \left(\frac{6}{2x-3}\right)^2 = \frac{36}{(2x-3)^2}$ in the integral” …
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