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# Evaluate the integral.$\displaystyle \int e^{x + e^x}\ dx$

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

#### Topics

Integration Techniques

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##### Kristen K.

University of Michigan - Ann Arbor

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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

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#### Topics

Integration Techniques

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