Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram displays part of the curve $y = x + \frac{4}{x}$, and this curve has a minimum point at $M$. The line $y = 5$ cuts the curve at the points $A$ and $B$.
(i)[5]

Find the coordinates of A, B and M using the graph.

(ii)[6]

Find the volume formed when the shaded region is rotated through $360^\circ$ about the $x$-axis.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Solves $x+\frac{4}{x}=5$ to obtain $A(1,5),B(4,5)$.” …

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