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Problem 20

Evaluate $\int_{C} \sqrt{x+2 y} d s,$ where $C$ i…

Problem 19

Evaluate $\int_{C} x d s,$ where $C$ is
a. the straight-line segment $x=t, y=t / 2,$ from $(0,0)$ to $(4,2) .$
b. the parabolic curve $x=t, y=t^{2},$ from $(0,0)$ to $(2,4)$


$$\begin{array}{l}{\text { (a) } 4 \sqrt{5}} \\ {\text { (b) } \frac{17 \sqrt{17}-1}{12}}\end{array}$$


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Video Transcript

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