Solved: Evaluating a Surface Integral In Exercises 1316, evaluate

Chapter 15, Problem 15

(choose chapter or problem)

In Exercises 13 - 16, evaluate \(\int_{S} \int f(x, y) d S\).

f(x, y) = x + y

\(S: \mathbf{r}(u, v)=2 \cos u \mathbf{i}+2 \sin u \mathbf{j}+v \mathbf{k}\)

\(0 \leq u \leq \frac{\pi}{2}, \quad 0 \leq v \leq 1\)

Text Transcription:

int_S int f(x, y) dS

S: r(u, v) = 2 cos ui + 2 sin uj + vk

0 leq u leq pi / 2,     0 leq v leq 1

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