Evaluating a Line Integral of a Vector Field In Exercises 2732, evaluate where is

Chapter 15, Problem 27

(choose chapter or problem)

In Exercises 27 - 32, evaluate

\(\int_{C} \mathbf{F} \cdot d \mathbf{r}\)

where C is represented by r(t).

\(\mathbf{F}(x, y)=x \mathbf{i}+y \mathbf{j}\)

\(C: \mathbf{r}(t)=t \mathbf{i}+t \mathbf{j}, \quad 0 \leq t \leq 1\)

Text Transcription:

int_{C} F cdot dr

F(x, y) = xi + yj

C: r(t) = ti + tj,     0 leq t leq 1

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