Problem

Let $ \textbf{F} $ be the vector field shown in t…

02:11

Problem 16 Medium Difficulty

Evaluate the line integral, where $ C $ is the given curve.

$ \displaystyle \int_C ( y + z) \, dx + (x + z) \, dy + (x + y) \, dz $,
$ C $ consists of line segments from $ (0, 0, 0) $ to $ (1, 0, 1) $ and from $ (1, 0, 1) $ to $ (0, 1, 2) $

Answer

$$
\int_{C}(y+z) d x+(x+z) d y+(x+y) d z=2
$$

Topics

Vector Calculus

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 16

Vector Calculus

Section 2

Line Integrals

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Watch More Solved Questions in Chapter 16

Problem 1

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Video Transcript

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FL

Frank L.

Topics

Vector Calculus

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 16

Vector Calculus

Section 2

Line Integrals

Top Calculus 3 Educators

Lily A.

Johns Hopkins University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University