3.
\includegraphics[max width=\textwidth, alt={}, center]{6e307391-198f-4ea9-99ed-6ef184fca0f7-3_826_873_246_539} Figure 2 shows part of the curve with equation $$y = \mathrm { e } ^ { x } \cos x , 0 \leq x \leq \frac { \pi } { 2 }$$ The finite region \(R\) is bounded by the curve and the coordinate axes.

1. Calculate, to 2 decimal places, the \(y\)-coordinates of the points on the curve where \(x = 0 , \frac { \pi } { 6 } , \frac { \pi } { 3 }\) and \(\frac { \pi } { 2 }\).
   (3)
2. Using the trapezium rule and all the values calculated in part (a), find an approximation for the area of \(R\).
   (4)
3. State, with a reason, whether your approximation underestimates or overestimates the area of \(R\).
   (2)