Specialist2025 NHT Exam 2 Section A · Q9CAS active1 mark

Arc length of a parametric curve

The length of the curve defined by $x = e^{t}\sin(t)$ and $y = e^{t}\cos(t)$ , where $t \in \left[0, \frac{\pi}{2}\right]$ , can be found by evaluating

1 mark

\sqrt{2}\int_{0}^{\frac{\pi}{2}} e^{\sqrt{2t}}\,dt

2\int_{0}^{\frac{\pi}{2}} e^{2t}\,dt

\sqrt{2}\int_{0}^{\frac{\pi}{2}} e^{t}\,dt

\int_{0}^{\frac{\pi}{2}} e^{t}\,dt

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