# SurCalCh5Sec4 - function minus the bottom function(Area...

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Section 5.4, Survey Calculus TV spring 2001 Further Applications of Definite Integrals: Average Value and Area Between Curves Average Value of a Function: (Average Value of f on [a, b])= b a dx x f a b ) ( 1 Average value = Definite integral divided by the length of the interval. Example #10 Example #26 Area Between Curves To find the area between f(x) and g(x ) (where f(x) is above g(x)) on the interval [a, b] we integrate the top

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Unformatted text preview: function minus the bottom function. (Area between f and g on [a, b] )= âˆ« âˆ’ b a dx x g x f )] ( ) ( [ Note: this formula applies even if one or both of the functions dip below the x-axis. Example: #38 If the graphs cross and you wish to find the area of the bounded region you use the same formula as above, but you must find the points of intersection to define the interval of integration. Example: #42...
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SurCalCh5Sec4 - function minus the bottom function(Area...

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