(a)[2]
Show that the $x$-coordinate of $B$ equals $6\ln 2$.
(b)[5]
Determine the area of the shaded region. Express your answer as $p\ln 2-q$, with $p$ and $q$ positive integers.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The graph is the curve with equation $y=8e^{-\frac{1}{3}x}-1$. It crosses the axes at the points $A$ and $B$. The shaded part lies between 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: “Try solving $8e^{-\frac{1}{2}x}-1=0$ by applying a suitable logarithm property” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI