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Indefinite Integral of Trig FunctionsPowerPoint Presentation

Indefinite Integral of Trig Functions

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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

Ex. Evaluate

D I

Ex.

49.

Section 9.3 Problem 49 on page 569