Problem

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

01:07

Problem 19 Easy Difficulty

Evaluate the integral.

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

Answer

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

Topics

Integration Techniques

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 5

Strategy for Integration

Discussion

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Watch More Solved Questions in Chapter 7

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Problem 2

Problem 3

Problem 4

Problem 5

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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

JH

J H.

Topics

Integration Techniques

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 5

Strategy for Integration

Top Calculus 2 / BC Educators

Grace H.

Numerade Educator

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Joseph L.

Boston College