MATH 1A Lecture Notes - Lecture 24: Autocad Dxf, Farad, Riemann Sum

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3 May 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: A= lim n n i=1 f (xi. [a ,b] into n sub-intervals of width x= b a n and pick where we divide the interval sample points x1. , x2 in each sub-interval. n i=1 f ( xi. We can write lim n n i=1 f (xi. ) x as: b a f ( x) dx this is called an integral of f ( x) from a to b . lim n n i=1 b a f (xi. Finding the limit is referred to as integration. When f ( x) is a continuous function on. [a ,b] b a f ( x) dx=lim n n i=1 f ( xi. We call this a definite integral because it has specific endpoints.

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