Download the App!

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

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

Problem

Use substitution to find each indefinite integral…

01:13
preview
Numerade Logo

Get the answer to your homework problem.

Try Numerade free for 7 days

Amy J.
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 7 Medium Difficulty

Use substitution to find each indefinite integral.
$$\int \frac{2 x+2}{\left(x^{2}+2 x-4\right)^{4}} d x$$

Answer

$-\frac{1}{\left(x^{2}+2 x+4\right)^{4}}+C$

Related Courses

Calculus 1 / AB

Finite Mathematics and Calculus with Applications

Chapter 15

Integration

Section 2

Substitution

Related Topics

Integrals

Integration

Discussion

You must be signed in to discuss.
Top Calculus 1 / AB Educators
Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Kristen K.

University of Michigan - Ann Arbor

Joseph L.

Boston College

Calculus 1 / AB Courses

Lectures

Video Thumbnail

05:53

Integrals - Intro

In mathematics, an indefin…

Video Thumbnail

40:35

Area Under Curves - Overview

In mathematics, integratio…

Join Course
Recommended Videos

01:08

Use substitution to find e…

02:46

Use substitution to find e…

00:54

Use substitution to find e…

03:15

Use substitution to find e…

00:49

Use substitution to find e…

03:33

Use substitution to find e…

01:34

Use substitution to find e…

01:17

Find each integral.
$$\…

01:01

Evaluate the integral.
…

00:35

Evaluate the indefinite in…

01:09

Make the given substitutio…

00:43

Evaluate the integral.
…

01:14

Evaluate the indefinite in…

04:29

Evaluate the integral.
…

01:19

Make the given substitutio…

00:38

Evaluate the integral by m…

00:42

Evaluate the integral by m…

04:42

Evaluate the integral.

…

05:11

$$\text {Evaluate the foll…

01:06

Evaluate the following int…

Watch More Solved Questions in Chapter 15

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

Video Transcript

Okay, so we want to use use up here. So why don't we let are you equal are, um, larger polynomial, that is, Let's let it equal X squared plus two x. But it's what you know, if we take the derivative of that, you get to acts plus two and Indy X, So notice that we have two x puts to here and a DX so that's equal to do you. So now let's replace what we have. So we have do you over u to the power of four. Okay. So look to your right that as a negative exported so that you to the part of negative four. Do you? And I want to take her in a girl So he gets, um You took out negative three over negative three. Let's see. And now, um, what's your place? Are you with our X? So we have X squared plus two minus four to the part of negative three over the next three. Your name, plus C

We have video lessons for 87.03% of the questions in this textbook
Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Finite Mathematics and Calculus with Applications

View More Answers From This Book

Find Another Textbook

Related Topics

Integrals

Integration

Top Calculus 1 / AB Educators
Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Kristen K.

University of Michigan - Ann Arbor

Joseph L.

Boston College

Calculus 1 / AB Courses

Lectures

Video Thumbnail

05:53

Integrals - Intro

In mathematics, an indefinite integral is an integral whose integrand is not…

Video Thumbnail

40:35

Area Under Curves - Overview

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

Join Course
Recommended Videos

01:08

Use substitution to find each indefinite integral. $$\int 4(2 x+3)^{4} d x$$

02:46

Use substitution to find each indefinite integral. $$\int \frac{-4 x}{x^{2}+3}…

00:54

Use substitution to find each indefinite integral. $$\int \frac{-4 x}{x^{2}+3}…

03:15

Use substitution to find each indefinite integral. $$\int 4 x^{3} e^{2 x^{4}} …

00:49

Use substitution to find each indefinite integral. $$\int \frac{2 x+1}{\left(x…

03:33

Use substitution to find each indefinite integral. $$\int \frac{x^{3}+2 x}{x^{…

01:34

Use substitution to find each indefinite integral. $$\int \frac{x^{3}+2 x}{x^{…

01:17

Find each integral. $$\int \frac{x}{4} \tan \left(\frac{x}{4}\right)^{2} d x$$

01:01

Evaluate the integral. $$\int x\left(x^{2}+4\right)^{2} d x$$

00:35

Evaluate the indefinite integral. $ \displaystyle \int \frac{x}{x^2 + 4} \, …

01:09

Make the given substitutions to evaluate the indefinite integrals. $$\int 2(2 x…

00:43

Evaluate the integral. $$\int\left(x^{2}+4\right)^{2} d x$$

01:14

Evaluate the indefinite integral. $\int x\left(x^{2}-4\right) d x$

04:29

Evaluate the integral. $$ \int \frac{d x}{\left(4+x^{2}\right)^{2}} $$

01:19

Make the given substitutions to evaluate the indefinite integrals. $$\int \frac…

00:38

Evaluate the integral by making the given substitution. $\int x^{3}\left(2+x^{…

00:42

Evaluate the integral by making the given substitution. $$\int x^{3}\left(2+x^…

04:42

Evaluate the integral. $ \displaystyle \int_2^4 \frac{x + 2}{x^2 + 3x - 4}\ …

05:11

$$\text {Evaluate the following integrals.}$$ $$\int \frac{x^{2}-4}{x^{3}-2 x^{…

01:06

Evaluate the following integrals. $$\int \frac{x^{2}-4}{x^{3}-2 x^{2}+x} d x$$
Additional Mathematics Questions
evaluate-each-definite-integral-int_04-2leftt1-2-tright-d-t-2

01:23

Evaluate each definite integral.
$$\int_{0}^{4} 2\left(t^{1 / 2}-t\right)…

find-the-area-between-the-curves-in-exercises-1-24-yx2-quad-yx3

05:42

Find the area between the curves in Exercises $1-24$
$$
y=x^{2}, \quad…

use-substitution-to-find-each-indefinite-integral-int-frace2-xe2-x5-d-x

00:46

Use substitution to find each indefinite integral.
$$\int \frac{e^{2 x}}{…

find-the-volume-of-the-solid-of-revolution-formed-by-rotating-about-the-x-axis-each-region-bounde-20

01:21

Find the volume of the solid of revolution formed by rotating about the x-ax…

use-substitution-to-find-each-indefinite-integral-int-r-sqrt5-r22-d-r-2

01:49

Use substitution to find each indefinite integral.
$$\int r \sqrt{5 r^{2}…

explain-why-the-restriction-n-neq-1-is-necessary-in-the-rule-int-xn-d-xfracxn1n

00:51

Explain why the restriction $n \neq-1$ is necessary in the rule
$$
\in…

use-integration-by-parts-to-find-the-integrals-in-exercises-110-int_03-frac3-x3-e

02:20

Use integration by parts to find the integrals in Exercises 1–10.
$$
\…

find-the-area-between-the-curves-in-exercises-1-24-x0-quad-x3-quad-y2-e3-x-quad-y

10:22

Find the area between the curves in Exercises $1-24$
$$
x=0, \quad x=3…

use-substitution-to-find-each-indefinite-integral-int-fracy2yleft2-y33-y21ri-2

02:09

Use substitution to find each indefinite integral.
$$\int \frac{y^{2}+y}{…

find-the-area-under-the-semicircle-ysqrt4-x2-and-above-the-x-axis-by-using-n8-with-th

07:51

Find the area under the semicircle $y=\sqrt{4-x^{2}}$ and above the $x$ -axi…

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

Available on iOS and Android

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