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Definite Integrals
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Calculus
Definite Integrals
Examples
Definite Integrals of NonNegative Functions Examples
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LeftHand Sum
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Trapezoid Sum
Trapezoid Sum with Shortcuts
Definite Integrals of NonNegative Functions
Definite Integrals of RealValued Functions
General Riemann Sums
SingleFunction Properties
Talking About Two Functions
Thinking Backwards
Averages with Functions
Table of Contents
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Page (1 of 4) Examples:
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2
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4
Example 1
Identify the various parts of the expression
the integrand
the lower limit of integration
the upper limit of integration
the variable of integration
The integrand is the part inside the integral symbol:
The lower limit of integration is the number at the bottom of the integral sign:
The upper limit of integration is the number at the top of the integral sign:
The variable of integration is
x
:
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More Definite Integrals of NonNegative Functions Examples (2 of 4)
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Trapezoid Sum with Shortcuts Examples
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