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

Calculus 2 / BC

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Integration Techniques

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Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

03:32

First make a substitution …

01:02

Evaluate the integral usin…

04:51

Evaluate the integral.

03:19

evaluate using substitutio…

02:51

Evaluate the integrals by …

02:46

02:20

Evaluate the following int…

03:21

02:01

00:32

Evaluate the indefinite in…

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In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

First make a substitution and then use integration byparts to evaluate t…

Evaluate the integral using integration by parts and substitution. (As we re…

$ \displaystyle \int \sqrt{x} e^{\sqrt{x}}\ d…

evaluate using substitution and then Integration by Parts. $$\int e^{\sqrt{x…

Evaluate the integrals by making appropriate u-substitutions and applying th…

Evaluate the integrals by making appropriate $u$ -substitutions and applying…

Evaluate the following integrals using integration by parts.$$\int e^{\s…

Evaluate the indefinite integral.

$ \displaystyle \int e^x \sqrt{1 +…