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Find the are length parameter along the curve from the point where $t=0$ by evaluating the integral

$s(t)=\int_{0}^{t}|\mathbf{v}(\tau)| d \tau$

from Equation (3). Then use the formula for $s(t)$ to find the length of the indicated portion of the curve.

$$\mathbf{r}(t)=(\cos t+t \sin t) \mathbf{i}+(\sin t-t \cos t) \mathbf{j}, \quad \pi / 2 \leq t \leq \pi$$

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Campbell University

Harvey Mudd College

Baylor University

Boston College

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