(i)[4]
Find the exact value of $p$.
(ii)[4]
Show that the shaded area enclosed by the curve, the $x$-axis and the line $x = p$ has value $\frac{1}{8}$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The curve drawn in the diagram is $y = e^{-x} - e^{-2x}$, and its turning point of maximum value is $M$. The $x$-coordinate of $M$ is written as $p$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State the derivative as $-e^{-x}-(-2)e^{-2x}$ or an equivalent form” …
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