Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram depicts the curve $y = (x + 1)e^{-\frac{1}{3}x}$ together with its maximum point $M$.
(i)[4]

Determine the $x$-coordinate of $M$.

(ii)[5]

Determine the area of the shaded region bounded by the curve and the axes, giving your answer in terms of $e$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the correct product or quotient rule

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