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Unformatted text preview: region bounded by the graph of , the x-axis, and the vertical lines x=a and x=b is given by Area = Note that in the previous example our function was not nonnegative over the interval. Therefore, the integral did not represent an area. b a dx x f ) ( Properties of Definite Integrals If is defined at x=a, then If is integrable on [a,b], then If is integrable on the three closed intervals determined by a,b, and c, then ) ( a a dx x f b a a b dx x f dx x f ) ( ) ( b c c a b a dx x f dx x f dx x f ) ( ) ( ) (...
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This note was uploaded on 01/12/2012 for the course MATH 2554 taught by Professor Pamelasatterfield during the Spring '11 term at NorthWest Arkansas Community College.
- Spring '11