# 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 \(PQ\).

###### There are

###### In total, this question is worth

\((\text{i})\) 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.**