(i)[5]
Show that the $x$-coordinate of $Q$ equals $\frac{16}{9}$.
(ii)[6]
Find, showing all essential working, the area of the shaded region.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram displays a section of the curve $y = \frac{3}{\sqrt{1 + 4x}}$ and a point $P\,(2, 1)$ that lies on the curve. The normal to the curve at $P$ cuts the $x$-axis at $Q$.