Lecture 23
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Lecture 23. Integrals of Trigonometric Functions. Indefinite Integral of Trig Functions. Ex. Ex. Substitution. Solution:. Substitution. Ex. Indefinite Integral of Trig Functions. Q. Why does ?.

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Indefinite Integral of Trig Functions

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Lecture 23

Integrals of Trigonometric Functions

Indefinite Integral of Trig Functions

Ex.


Ex.Substitution

Solution:


Substitution

Ex.


Indefinite Integral of Trig Functions


Q. Why does ?

A. We can write tan x as (sin x)/(cosx) and set u = cosx in the integral:


Shortcuts: Integrals involving (ax + b)

Ex.


Ex.


Shortcuts: Integrals involving (ax + b)


Definite Integral

Ex. Evaluate


Integration by Parts

Ex. Evaluate

D I


Ex.


49.

Section 9.3 Problem 49 on page 569


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