MATH 1A Lecture 24: 5.2 Definite Integrals

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29 Apr 2015
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Math 1a - lecture 24 - 5. 2 definite integrals. Last time we said the area under the curve y=f (x) from x=a to x=b is given by: n lim n . [a,b ] into n sub-intervals of width x= b a n and pick where we divide the interval sample points x1. F (x)dx this is called an integral of f (x) from a to b . April 23, 2015 n lim n i=1 b a f (xi. Finding the limit is referred to as integration. When f (x) is a continuous function on. We call this a definite integral because it has specific endpoints. Note: the area, per definition, is always positive, but f (x) need not be. For example, in this function, the area from a to b contributes with a positive sign, while the area from b to c contributes with a negative sign. c. F (x)dx , we must note that .

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