9231 P12 - Nov 2014 - Q2 - 6 marks
6365
A curve \(C\) has parametric equations
\(x=\mathrm{e}^{t} \cos t, \quad y=\mathrm{e}^{t} \sin t, \quad \text { for } 0 \leqslant t \leqslant \frac{1}{2} \pi\)
Find the arc length of \(C\).
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