Mathematics 9709 · AS & A Level · Integration

Integration — practice question

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

(a)[5]

Find the exact coordinates that locate $M$.

(b)[5]

Find the area of the shaded region enclosed by the curve and the axes. Give 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 or quotient rule” …