(i)[5]
Show that the $x$-coordinate of $M$ can be expressed in the form $\ln a$, and state the value of $a$.
(ii)[4]
Find the exact value of the area of the region bounded by the curve and the lines $x = 0$, $x = 2$ and $y = 0$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram depicts the curve $y = 4\mathrm{e}^{\frac{1}{2}x} - 6x + 3$ together with its minimum point $M$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate so that the result is an expression of the form $k e^{\frac{1}{2}x} + m$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI