(a)[2]
Show that $B$ has $x$-coordinate $6\ln 2$.
(b)[5]
Find the area of the shaded region. Give your answer in the form $p\ln 2-q$, where $p$ and $q$ are positive integers.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The sketch depicts the curve whose equation is $y=8e^{-\frac{1}{3}x}-1$. The curve intersects the axes at the points $A$ and $B$. The shaded region is enclosed by the curve and the line segment $AB$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Set up $8e^{-\frac{1}{2}x}-1=0$ and use a relevant logarithm property” …
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