Problem

Integrate each of the given functions. $$\int 4 e…

Problem 4 Easy Difficulty

Integrate each of the given functions.
$$\int e^{x^{4}}\left(4 x^{3} d x\right)$$

Answer

$e^{x^{4}}+C$

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Calculus 1 / AB

Basic Technical Mathematics with Calculus

Chapter 28

Methods of Integration

Section 3

The Exponential Form

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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

Yeah, we want to evaluate the following the indefinite integral of four, execute E. To the X. To the fourth dx. This question is testing our knowledge of methods of integration. We've already learned the power rule for integration and the logarithmic integration. This question in particular is testing our knowledge of exponential integration which states and the integral of E. To the U D. U. Is each of you plus C. So if in this problem we can identify you and D you we can easily solve the via the exponential integration solution here so you is whatever is raised to the power of E. Therefore we clearly see you as actually four do you? Is four X Q B S. Thus are integral. Exactly takes the form either the U. D. U. Which allows us to simply conclude that are integral has a solution. L E X plus extra fourth plus C.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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Problem

Integrate each of the given functions. $$\int 4 e…

Problem 4 Easy Difficulty

Integrate each of the given functions.
$$\int e^{x^{4}}\left(4 x^{3} d x\right)$$

Answer

$e^{x^{4}}+C$

Related Courses

Basic Technical Mathematics with Calculus

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Watch More Solved Questions in Chapter 28

Video Transcript

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

Catherine R.

Heather Z.

Kayleah T.

Kristen K.

Precalculus Review - Intro

Functions on the Real Line - Overview

$e^{x^{4}}+C$

Basic Technical Mathematics with Calculus

Catherine R.

Heather Z.

Kayleah T.

Kristen K.

Precalculus Review - Intro

Functions on the Real Line - Overview

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

Catherine R.

Heather Z.

Kayleah T.

Kristen K.

Precalculus Review - Intro

Functions on the Real Line - Overview

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus