(a)[4]
Verify that $R$ has $x$-coordinate $\frac{3}{2}$ and find the $y$-coordinate of $R$.
(b)[6]
Find the exact value of the shaded region’s area.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram displays part of the curve with equation $y = x + \frac{2}{(2x - 1)^2}$. The lines $x = 1$ and $x = 2$ meet the curve at $P$ and $Q$ respectively, while $R$ is the stationary point on the curve.