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# First make a substitution and then use integration by parts to evaluate the integral.$\displaystyle \int e^{\sqrt{x}} dx$

## $v=e^{t}$ to get $2 \int t e^{t} d t=2 t e^{t}-2 \int e^{t} d t=2 t e^{t}-2 e^{t}+C=2 \sqrt{x} e^{\sqrt{x}}-2 e^{\sqrt{x}}+C$

#### Topics

Integration Techniques

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

The problem is first to make a substitution and then use integration. My parts to you violated the integral intervened to operative extracts. Now first unmoving substitution become. Let why is equal to your ex then? Why? Squire, you go too. So we have two wives. You want this sicko to be axe now? This integral It's Deco too into girl. True. Why New times into why you are now? We can use the integration by parts that you seek Or two. Why, Andre? Promise they go too into Why, then you prom is going to be easy for you. Why? A few things A foreigner into, girl. You re prom yaks, you see? Go to You'd have been miles into girl. Your crime with Jax, we have this Integral is Niko too? You have police, That's why. Why? Minus into you know you primed him. Sleaze! Is this true? Hamsa? Why do you want? So this is the culture to lie in tow. Why mice to have wives, Lasse, See? And then, since wise, they got your brooch of axe. This's Goto. Two times, two ax into return. Axe minus two times in two acts. Class, see

WZ

#### Topics

Integration Techniques

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp