Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram displays the curve $y = (2 - x)e^{-\frac{1}{2}x}$ together with its minimum point $M$.

(a)[5]

Determine the exact coordinates of $M$.

(b)[5]

Calculate the area of the shaded region enclosed by the curve and the axes. Express your answer in terms of $e$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply the correct product rule or quotient rule” …