Problem

Integrate each of the given functions. $$\int_{0}…

Problem 24 Easy Difficulty

Integrate each of the given functions.
$$\int\left(e^{x}-e^{-x}\right)^{2} d x$$

Answer

$\frac{1}{2} e^{2 x}-2 x-\frac{1}{2} e^{-2 x}+C$

Related Courses

Calculus 1 / AB

Basic Technical Mathematics with Calculus

Chapter 28

Methods of Integration

Section 3

The Exponential Form

Discussion

You must be signed in to discuss.

Top Calculus 1 / AB Educators

Watch More Solved Questions in Chapter 28

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

All right. We want to integrate the integral given the integral is from E to the x minus E to the negative X squared dx. Or as I've written for simplicity purposes to the right each of the two x minus two plus each the negative two X. This question is challenging our understanding of methods of integration particularly is challenging our ability to use our newfound method. Exponential integration which states that the integral of each of the U. D. U. Each of you plus C. So if we can identify you and do you and our internal we can solve, we see that for each of the two x minus two plus easy and get two X. We actually have to exponential growth and the first one you is two X. So Do you is -2 x. And the second one? You was negative two X. So do you is negative two X. Therefore we have are integral one half. And either you want do you want me to interview the x minus one half integral? Either you to do you or one half of the two X minus two X minus half. Even the negative two X.

We have video lessons for 0.06% of the questions in this textbook

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

View More Answers From This Book

Find Another Textbook

Problem

Integrate each of the given functions. $$\int_{0}…

Problem 24 Easy Difficulty

Integrate each of the given functions.
$$\int\left(e^{x}-e^{-x}\right)^{2} d x$$

Answer

$\frac{1}{2} e^{2 x}-2 x-\frac{1}{2} e^{-2 x}+C$

Related Courses

Basic Technical Mathematics with Calculus

Related Topics

Discussion

Top Calculus 1 / AB Educators

Catherine R.

Heather Z.

Caleb E.

Samuel H.

Calculus 1 / AB Courses

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 28

Video Transcript

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

Catherine R.

Heather Z.

Caleb E.

Samuel H.

Precalculus Review - Intro

Functions on the Real Line - Overview

$\frac{1}{2} e^{2 x}-2 x-\frac{1}{2} e^{-2 x}+C$

Basic Technical Mathematics with Calculus

Catherine R.

Heather Z.

Caleb E.

Samuel H.

Precalculus Review - Intro

Functions on the Real Line - Overview

Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Catherine R.

Heather Z.

Caleb E.

Samuel H.

Precalculus Review - Intro

Functions on the Real Line - Overview

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus