(i)[3]
Show that the equation of normal $AB$ is $y = \frac{1}{2}x + 2$.
(ii)[8]
Find, showing all necessary working, the volume of revolution formed when the shaded region is turned through $360^\circ$ about the $x$-axis.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram illustrates a portion of the curve $y = (x - 1)^{-2} + 2$ together with the lines $x = 1$ and $x = 3$. Point $A$ lies on the curve and has coordinates $(2, 3)$. The normal to the curve at $A$ meets the line $x = 1$ at $B$.
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