(i)[4]
Find the exact $x$-coordinates of the stationary points of the curve.
(ii)[5]
Show that the exact area of $R$ is $18 - \dfrac{42}{e}$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram depicts the curve $y = (1 + x^2)e^{-\frac{1}{2}x}$ for $x \geq 0$. The shaded region $R$ is bounded by the curve, the $x$-axis, and the lines $x = 0$ and $x = 2$.