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Problem

Evaluate the integral. $ \displaystyle \int e^…

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Problem 19 Easy Difficulty

Evaluate the integral.

$ \displaystyle \int e^{x + e^x}\ 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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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 10

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Problem 15

Problem 16

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Problem 18

Problem 19

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Problem 36

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Problem 38

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Problem 40

Problem 41

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Problem 49

Problem 50

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Problem 53

Problem 54

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Problem 57

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Problem 59

Problem 60

Problem 61

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Problem 84

Video Transcript

before we do a U substitution. Let's rewrite this in a girl using the laws of exponents as either the ex times e to the e to the x power. So that's just using your laws of exponents. A B a C is into b plus c. So then here, let's do it. You So you girls eat of x deal either the ex so than here. When we put this in, we just have you you do you The eating of the yoo is this term here and then the d u is giving us the e x, the X and asked what's left over up here. So this just verifies that we have the right integral in terms of you and Ray Tous. We know that's just either you pussy and then there we just replace you with even X from our use. Um so eat to the e to the X power plus see? And that's your final answer

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Calculus: Early Transcendentals

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Top Calculus 2 / BC Educators

Catherine Ross

Missouri State University

Heather Zimmers

Oregon State University

Kristen Karbon

University of Michigan - Ann Arbor

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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