Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Find the length of the curve$ y = \displaystyle \int_1^x \sqrt{t^3 - 1}\ dt $ $ 1 \le x \le 4 $

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$L=12.4$

Calculus 2 / BC

Chapter 8

Further Applications of Integration

Section 1

Arc Length

Applications of Integration

Missouri State University

University of Nottingham

Idaho State University

Lectures

02:37

Find the length of the cur…

01:04

Find the lengths of the cu…

01:19

Find the line integral of …

04:28

08:45

Find the length of each cu…

01:03

Use either a CAS or a tabl…

it's clear someone you read here. So we're given that y is equal to into girl from one that's t cubed minus one d t. So we're gonna use the 1st 1 The mental theory, um, of calculus. Do you want over The ex is equal to D over the sex, huh? Wanting to create from one office t cubed minus one d t just equal to x cubed minus one. So we're gonna find the length of the curve. Just plug it into the formula one plus spirit of X cubed minus one square E X. This becomes equal Thio. We integrate 1 to 4 square of excuse deep pecs. This is equal to 124 next to the three. How's the nets? Which is equal to two X to the five house over four over five 14 which is equal to well, point for

View More Answers From This Book

Find Another Textbook

Numerade Educator

01:08

The function h is defined by the following rule.h (x) = 4x+3Complete…

02:12

8 cos 2 arctan 15

00:50

At the beginning of the month, the school tank was 8/9 full After 1 week, it…

02:53

Find a formula for the exponential function passing 1 through the points (-3…

02:48

The graph of a function y = f(z) is shifted to the right units and up uhits.…

00:53

Provide the missing informationThe notationIs often used t0 represen…

02:33

Fnd tne area % the iigure. (Sibes mcet zt [ight_apgles;)Dw

02:35

Q2. For a linear function f(x), f(4) = 8and f(6) = 11. For another linear fu…

01:46

Perform the indicated operation. Write the answer in the form a + bi:(-5…