Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram depicts the curve $y = 2 + e^{-2x}$. It cuts the $y$-axis at $A$, and $B$ lies on the curve with $x$-coordinate $1$. The shaded part is enclosed by the curve and the line segment $AB$.
(main)[5]

Find the exact area enclosed by the shaded region.

(c)[5]

Find the exact area enclosed by the shaded region.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Integrate to produce the form $ax+be^{-2x}$” …

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