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First make a substitution and then use integration by parts to evaluate the integral.

$ \displaystyle \int_0^\pi e^{\cos t} \sin 2t dt $

$\int_{0}^{\pi} e^{\cos t} \sin 2 t d t=\frac{4}{e}$

Calculus 2 / BC

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Integration Techniques

Missouri State University

Campbell University

Harvey Mudd College

Boston College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

02:16

First make a substitution …

06:27

Evaluate the integral.

03:25

04:26

10:46

01:01

Evaluate the definite inte…

04:27

00:28

Evaluate the indefinite in…

04:36

04:37

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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 by parts to evaluate the …

$ \displaystyle \int_0^\pi \cos^4 (2t) dt $

$ \displaystyle \int_0^\pi t \cos^2 t\ dt $

$ \displaystyle \int_0^{2 \pi} t^2 \sin 2t dt…

$ \displaystyle \int_0^\pi \sin^2 t \cos^4 t …

Evaluate the definite integral.

$ \displaystyle \int^1_0 \cos(\pi t/…

$ \displaystyle \int_0^{\frac{\pi}{4}} (\sec …

Evaluate the indefinite integral.

$ \displaystyle \int e^{\cos t} \s…

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

$ \displaystyle \int_0^{\frac{\pi}{2}} \cos 5…