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Find, showing all necessary working, the volume produced when the shaded region is rotated through $360^\circ$ about the $x$-axis.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram displays the straight line $x + y = 5$ crossing the curve $y = \frac{4}{x}$ at the points $A(1, 4)$ and $B(4, 1)$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies the volume formula $V=\pi\int((5-x)^2-\frac{16}{x^2})dx$” …
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