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Find the exact arc length of the curve over the interval.$$x=\frac{1}{3}\left(y^{2}+2\right)^{3 / 2} \text { from } y=0 \text { to } y=1$$

$L=\frac{4}{3}$

Calculus 1 / AB

Calculus 2 / BC

Chapter 6

APPLICATIONS OF THE DEFINITE INTEGRAL IN GEOMETRY, SCIENCE, AND ENGINEERING

Section 4

Length of a Plane Curve

Integrals

Integration

Applications of Integration

Area Between Curves

Volume

Arc Length and Surface Area

Campbell University

Harvey Mudd College

Idaho State University

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Brooklyn number four, The lens is equal to take, ranging from 0 to 1 one plus boys where Weisberg plus two de Roy were injured. Age boy is equal to, uh, Why little or voice bread less. Um, and this can be simplified to and a secret to integration from 01 off, one over to spread review one plus U u plus to the you on this immigration for that is equal to invigoration from beautiful one. Oh, you plus 1/2 square of you, which is equal to integration from 01 Beautiful. But who's griddled off you plus aggression from your one on one over spurt of you you, which is equal to here u is equal to voice where? So you know why. Why so ah do boy is equal to 1/2. Uh, split you, Dean. So the integration for this for Melisse Ah, you or speak over to over 3/2. Plus, uh, you were her over, huh? From 0 to 1. Dr Those of institution. But why? Ah, but for you is equal twice. Where? So it's a big toe. Um, why? For 3/3 bus? Uh, why over her from 0 to 1. Do you think well after substitutions, apartment accidents were over

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