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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Indefinite integral of trig functions

Lecture 23

Integrals of Trigonometric Functions

Indefinite Integral of Trig Functions

Ex.


Indefinite integral of trig functions

Ex.Substitution

Solution:


Indefinite integral of trig functions

Substitution

Ex.


Indefinite integral of trig functions

Indefinite Integral of Trig Functions


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:


Indefinite integral of trig functions

Shortcuts: Integrals involving (ax + b)

Ex.


Indefinite integral of trig functions

Ex.


Indefinite integral of trig functions

Shortcuts: Integrals involving (ax + b)


Indefinite integral of trig functions

Definite Integral

Ex. Evaluate


Integration by parts

Integration by Parts

Ex. Evaluate

D I


Indefinite integral of trig functions

Ex.


Indefinite integral of trig functions

49.

Section 9.3 Problem 49 on page 569


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