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Tuesday, November 8
−
Lecture 24 :
Properties of definite integrals
(Refers to
Section 5.2 in your text)
Students who have mastered the content of this lecture know about
:
The elementary properties of
the definite integral.
Students who have practiced the techniques presented in this lecture will be able to
:
Apply the
elementary properties of the definite integral to simplify the definite integral of functions.
Just as for the derivative of a function and its definition we will rarely compute the
definite integral of a function by using its definition. We will call upon many of its
properties and use efficient ways to obtain this number. The basic properties of definite
integrals are fairly easy to prove since a definite integral is a limit expression and so all
properties shown to hold true for limit expressions will hold true for definite integrals.
The following theorem provides us with a list of properties possessed by definite
integrals. These follow from the Riemann sum definition of definite integrals. We will
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 Spring '11
 RobertAndre
 Calculus, Definite Integrals, Integrals

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