# OCR A Level: Core 3 - Differentiation and Integration [June 2013 Q9]

Calculus Level pending

The diagram shows the curve $\large y=e^{2x}-18x+15$ The curve crosses the $$y$$-axis at $$P$$ and the minimum point is at $$Q$$. The shaded region is bounded by the curve and the line $$PQ$$.

$$(\text{i})$$ Show that the $$x$$-coordinate of $$Q$$ is $$\ln 3$$.

$$(\text{ii})$$ Find the exact area of the shaded region.

Input the nearest integer to $$100 \times$$ the shaded area as your answer.

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