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Graph the curve and visually estimate its length. Then use your calculator to find the length correct to four decimal places.

$ y = x^2 + x^3 $ , $ 1 \le x \le 2 $

$L=\int_{1}^{2} \sqrt{1+\left(2 x+3 x^{2}\right)^{2}} d x \approx 10.0556$

Calculus 2 / BC

Chapter 8

Further Applications of Integration

Section 1

Arc Length

Applications of Integration

Campbell University

Oregon State University

Harvey Mudd College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

04:55

Graph the curve and visual…

01:28

01:59

Set up an integral that re…

01:15

01:31

00:49

05:10

02:47

Find the exact length of t…

02:36

07:13

Hey, it's clear. So when you read here so I'm gonna draw on ground. So we have. We try. We get cornets of one common, too. And then it goes like this thing, too. Coma, 12 Ark, Ark. Ark. Clancy is equal to and to go from 1 to 2 square root of one. Plus, the derivative is equal to two eggs plus three square. So we get two X plus three square sway D X needs in the calculator. This is around 10 point zero by 56

Numerade Educator

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

Graph the curve and visually estimate its length.Then use your calculato…

Graph the curve and visually estimate its length. Then use your calculator t…

Set up an integral that represents the length of the curve. Then use your ca…

Find the exact length of the curve.

$ y = \frac{1}{4} x^2 - \frac{1}…

$ y = \displaystyle \frac{x^3}{3…

$ 36y^2 = (x^2 - 4)^3 $ , $ 2 \l…