💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Textbooks
Test Prep
Numerade for Schools
Bootcamps
Class
Ask Question
StudyParty
Earn Money
Refer a friend. Get $50! Become an Educator

Log in

Problem

If $f$ is continuous and $\int_{0}^{4} f(x) d x=1…

00:38

Get the answer to your homework problem.

Try Numerade free for 30 days

Fuzail S.

Numerade Educator

Like

Report

Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67

Problem 64 Medium Difficulty

If $f$ is continuous and $\int_{0}^{9} f(x) d x=4,$ find $\int_{0}^{3} x f\left(x^{2}\right) d x$

Answer

$\int_{0}^{3} x f\left(x^{2}\right) d x=2$

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Biocalculus Calculus for the Life Sciences

Chapter 5

Integrals

Section 4

The Substitution Rule

Related Topics

Integrals

Integration Techniques

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Grace H.

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Calculus 2 / BC Courses

Lectures

Video Thumbnail

01:11

Integration Review - Intro

In mathematics, integratio…

Video Thumbnail

06:55

Definite vs Indefinite

In grammar, determiners ar…

Join Course

Recommended Videos

01:00

If $ f $ is continuous and…

00:38

If $f$ is continuous and $…

01:02

If $f$ is continuous and $…

00:37

If $ f $ is continuous and…

0:00

Suppose that $ f(1) = 2 $,…

03:22

Suppose that $f(1)=2, f(4)…

08:19

If $f$ is a continuous fun…

00:40

If $ f $ is continuous and…

01:49

If $f(0)=g(0)=0$ and $f^{\…

05:17

If $f(0)=g(0)=0$ and $f^{\…

Watch More Solved Questions in Chapter 5

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Video Transcript

you let you is equal to X squared so that 1/2 d'you is equal to x t X. When X is equal to zero, you is equal to zero. When X is equal to three, you is equal to nine so we can reroute are integral as a 1/2 times the integral from zero 29 off f you, do you? This is equal to 1/2 X to the power for wishes he pulled too.

We have video lessons for 86.43% of the questions in this textbook

James Stewart

Biocalculus Calculus for the Life Sciences

View More Answers From This Book

Find Another Textbook

Related Topics

Integrals

Integration Techniques

Top Calculus 2 / BC Educators

Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Calculus 2 / BC Courses

Lectures

Video Thumbnail

01:11

Integration Review - Intro

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

Video Thumbnail

06:55

Definite vs Indefinite

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

Join Course

Recommended Videos

01:00

If $ f $ is continuous and $ \displaystyle \int^9_0 f(x) \, dx = 4 $, find $…

00:38

If $f$ is continuous and $\int_{0}^{4} f(x) d x=10,$ find $\int_{0}^{2} f(2 …

01:02

If $f$ is continuous and $\int_{0}^{4} f(x) d x=10,$ find $\int_{0}^{2} f(2 …

00:37

If $ f $ is continuous and $ \displaystyle \int^4_0 f(x) \, dx = 10 $, find …

0:00

Suppose that $ f(1) = 2 $, $ f(4) = 7 $, $ f^\prime(1) = 5 $, $ f^\prime(4) …

03:22

Suppose that $f(1)=2, f(4)=7, f^{\prime}(1)=5, f^{\prime}(4)=3,$ and $f^{\pr…

08:19

If $f$ is a continuous function, find the value of the integral
$$
I=\…

00:40

If $ f $ is continuous and $ \displaystyle \int_{1}^3 f(x) dx = 8 $, show th…

01:49

If $f(0)=g(0)=0$ and $f^{\prime \prime}$ and $g^{\prime \prime}$ are continu…

05:17

If $f(0)=g(0)=0$ and $f^{\prime \prime}$ and $g^{\prime \prime}$ are continu…

Additional Mathematics Questions

if-oil-leaks-from-a-tank-at-a-rate-of-rt-gallons-per-minute-at-time-t-what-does-int_012

00:27

If oil leaks from a tank at a rate of $r(t)$ gallons per minute at time $t,$…

evaluate-the-definite-integral-int_01-cos-pi-t-2-d-t

00:52

Evaluate the definite integral.
$\int_{0}^{1} \cos (\pi t / 2) d t$

insect-survival-and-renewal-a-population-of-insects-currently-numbers-22500-and-is-increasing-at

02:40

Insect survival and renewal A population of insects currently numbers $22,50…

use-the-table-of-integrals-on-reference-pages-6-10-to-evaluate-the-integral-int-et-sin-a

01:30

Use the Table of Integrals on Reference Pages $6-10$ to evaluate the integra…

14the-velocity-graph-of-a-car-accelerating-from-rest-to-a-speed-of-120-mathrmkm-mathrmh

00:47

14.The velocity graph of a car accelerating from rest to a speed
of 120 $…

$beginarrayl1-2-text-write-the-function-as-a-sum-of-partial-fractions-do-not-text$

01:30

$\begin{array}{l}{1-2 \text { Write the function as a sum of partial fractio…

$evaluate-the-integral-int-fracx22-x-1x3-x-d-x$

01:31

Evaluate the integral.
$$\int \frac{x^{2}+2 x-1}{x^{3}-x} d x$$

$use-property-8-to-estimate-the-value-of-the-integral-int_02-frac11x2-d-x$

00:19

Use Property 8 to estimate the value of the integral
$$\int_{0}^{2} \frac…

blood-flow-the-velocity-v-of-blood-that-flows-in-a-bloodvessel-with-radius-r-and-length-l-at-a

01:53

Blood flow The velocity $v$ of blood that flows in a bloodvessel with radius…

a-what-does-the-equation-x4-represent-in-mathbbr2-what-does-it-represent-in-mathbb

02:38

(a) What does the equation $x=4$ represent in $\mathbb{R}^{2} ?$ What does i…

Add To Playlist

Add to Existing Playlist

OR

Create a New Playlist

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Typo in question

Answer is wrong

Video playback is not visible

Audio playback is not audible

Answer is not helpful

Other

Get 24/7 study help with our app

About

Our Story
Careers
Our Educators
Numerade Blog

Browse

Bootcamps
Books
Topics
Test Prep
Ask Directory

Support

Help
Privacy Policy
Terms of Service

Get started

92% of Numerade students report better grades.

Create an account to get free access

Join Numerade as a

Student Parent

By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy

or sign in with

Already have an account? Log in