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Evaluate the line integral, where $C$ is the given curve.$\displaystyle \int_C y^2z \, ds$, $C$ is the line segment from $(3, 1, 2)$ to $(1, 2, 5)$

$$\frac{107 \sqrt{14}}{12}$$

Vector Calculus

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Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Kristen K.

University of Michigan - Ann Arbor

Samuel H.

University of Nottingham

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Video Transcript

So we took this line to grow problem. So it is para militarization. First ho is three minus two tea one Krusty two plus three t tea from zero to what? And yes, he hosts square root off two scores for one square ce once Reese Crist ni Auntie So is squared off for twenty. So this one will be tea from zero to one square with a fourteen. Why squares the We just have to finish this integral his square prostitute He plus one three plus two, three t cubed plus cute he square process discourse on eighty square plus forty prostrate huge seventy plus two. And, uh so this mystery over four because t fourth over four and we probably one and other terms are similarly hate over three seven over to close to. And that means I'm out of you. Two are simply fight a fraction, but should be easy. Chop tio

Topics

Vector Calculus

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Kristen K.

University of Michigan - Ann Arbor

Samuel H.

University of Nottingham

Lectures

Join Bootcamp