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Evaluate the integral. $ \displaystyle \int \a…
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Problem 20 Easy Difficulty

Evaluate the integral.

$ \displaystyle \int e^2\ dx $

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Related Courses

Calculus 2 / BC
Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 5

Strategy for Integration

Related Topics

Integration Techniques

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Top Calculus 2 / BC Educators
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Video Thumbnail

01:53
Integration Techniques - Intro

In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.
Video Thumbnail

27:53
Basic Techniques

In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.
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Watch More Solved Questions in Chapter 7

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Problem 7
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Problem 9
Problem 10
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Problem 12
Problem 13
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Problem 15
Problem 16
Problem 17
Problem 18
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Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
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Problem 31
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Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
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Problem 40
Problem 41
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Problem 45
Problem 46
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Problem 48
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Problem 51
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Problem 53
Problem 54
Problem 55
Problem 56
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Problem 58
Problem 59
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Problem 61
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Problem 65
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Problem 75
Problem 76
Problem 77
Problem 78
Problem 79
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Problem 81
Problem 82
Problem 83
Problem 84

Video Transcript

So for the following in a girl. Well, here we have a constant integral of a constant with respect to X is always just si x. And then I guess we are constant after that was a plus de since every UC and I guess the quick way to verify this is, well, it's just using the power rule. So here, if you want to integrate just some constant see, you could pull out the sea, and then you have inaugural one d X, and then you could write that as CNN roll X to the zero and then use the power rule. So then you just couldn't see X, and then you had your constant at the end. So due to the fact East where it is just a constant So I just get e squared eggs and then add my constant of integration, see? And that's my final answer.

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Related Topics

Integration Techniques
Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Heather Zimmers

Oregon State University

Kayleah Tsai

Harvey Mudd College

Michael Jacobsen

Idaho State University

Calculus 2 / BC Courses

Lectures

Video Thumbnail

01:53
Integration Techniques - Intro

In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.
Video Thumbnail

27:53
Basic Techniques

In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.
Join Course
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Evaluate the integral. $ \displaystyle \int \frac{(x - 1) e^x}{x^2}\ dx $

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