(i)[3]
Show that the $x$-coordinate for $M$ is $\ln 2$.
(ii)[4]
The shaded part of the diagram is bounded by the curve and the lines $x = 0$, $x = \ln 2$ and $y = 0$. Use integration to show that the area of the shaded region is $\frac{5}{2}$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The graph depicts the curve $y = e^x + 4e^{-2x}$ together with its minimum point $M$.