(i)[4]
Show that line $AB$ has equation $y = -\frac{1}{10}x + 1$.
(ii)[9]
Find the volume generated 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 part of the curve $y = \frac{1}{(3x + 1)^{1/4}}$. The curve intersects the $y$-axis at $A$ and the line $x = 5$ at $B$.
Worked solution & mark scheme
This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The correct coordinates are $A = (0,1)$ and $B = (5, \frac12)$” …
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