Solved: Evaluating a Line Integral of a Vector Field In Exercises 2732, evaluate where
Chapter 15, Problem 28(choose chapter or problem)
In Exercises 27 - 32, evaluate
\(\int_{C} \mathbf{F} \cdot d \mathbf{r}\)
where C is represented by r(t).
\(\mathbf{F}(x, y)=x y \mathbf{i}+y \mathbf{j}\)
\(C: \mathbf{r}(t)=4 \cos t \mathbf{i}+4 \sin t \mathbf{j}, \quad 0 \leq t \leq \pi / 2\)
Text Transcription:
int_{C} F cdot dr
F(x, y) = xyi + yj
C: r(t) = 4 cos ti + 4 sin tj, 0 leq t leq pi / 2
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