(a)[3]
Find the area enclosed by the shaded region.
(b)[4]
When the shaded region is turned through $360^\circ$ about the $y$-axis, find the exact volume of the solid formed.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The sketch depicts the curve given by the equation $y=\frac{1}{2}\sqrt{x}$ and the point $P$ with coordinates $\left(9,\frac{3}{2}\right)$. The shaded area is enclosed by the curve and the lines $x=0$ and $y=\frac{3}{2}$.