(a)[5]
Find the volume produced when the shaded region is rotated through $360^\circ$ about the $y$-axis.
(b)[3]
The tangent at a point $X$ on the curve is parallel to the line $y + 2x = 0$. Show that $X$ is on the line $y = 2x$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram shows a section of the curve $y = \frac{6}{x}$. The points $(1, 6)$ and $(3, 2)$ are on the curve. The shaded area is enclosed by the curve and the lines $y = 2$ and $x = 1$.