Monday January 10
−
Lecture 3
:
Integration Methods :
Trigonometric integrals
(Refers to Section 7.2 in your text)
Expectations
:
1.
Apply some of the common trigonometric identities to transform integrands to ones
that can be integrated by
substitution
or by
parts
.
3.1
Our objective
−
We will be looking at various methods of integration for integrands
that contain trig functions.
Given an integrand which appears to be difficult to integrate in its given form, we attempt
to reexpress it either as a sum or/and product of simpler functions; the form we seek
allows us to integrate the expression by using more elementary techniques such as
integration by substitution or integration by parts. We will discuss techniques for
integrating 3 types of integrands:
3.2
Recall the identities
−
First, here are some trig identities which one should be familiar
with or at least have readily accessible:
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Integrands of the form sin
m
(
x
)cos
n
(
x
).
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 Spring '07
 Anoymous
 Calculus, Trigonometry, Integrals, Trigonometric Identities, 2k, trig identities, integrands

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