Consider a parameterized curve C: x \equal{} e^{ \minus{} t}\cos t,\ y \equal{} e^{ \minus{} t}\sin t\ \left(0\leq t\leq \frac {\pi}{2}\right).
(1) Find the length L of C.
(2) Find the area S of the region bounded by C, the x axis and y axis.
You may not use the formula ∫ab21r(θ)2dθ here. calculusintegrationtrigonometrygeometrycalculus computations