Solution: Evaluating a Line Integral of a Vector Field In Exercises 2732, evaluate where
Chapter 15, Problem 30(choose chapter or problem)
In Exercises 27 - 32, evaluate
\(\int_{C} \mathbf{F} \cdot d \mathbf{r}\)
where C is represented by r(t).
\(\mathbf{F}(x, y)=3 x \mathbf{i}+4 y \mathbf{j}\)
\(C: \mathbf{r}(t)=t \mathbf{i}+\sqrt{4-t^{2}} \mathbf{j}, \quad-2 \leq t \leq 2\)
Text Transcription:
int_{C} F cdot dr
F(x, y) = 3xi + 4yj
C: r(t) = ti + 4 - t^2j, -2 leq t leq 2
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