Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram displays the curve $y = 2 + e^{-2x}$. This curve meets the $y$-axis at $A$, and the point $B$ on the curve has $x$-coordinate $1$. The shaded region is enclosed by the curve and the line segment $AB$.
(main)[5]

Find the exact area enclosed by the shaded region.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Integrate to obtain an expression in the form $ax+be^{-2x}$

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