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第二單元 面積與黎曼和
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Area
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Archimedes’ Method
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Area
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More Rectangle is better
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The Area under the Curve
Definition f defined on[a,b],if f is continuous on[a,b]and on[a,b], then
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Riemann Sum A German mathematician who made important generalization to the definition of the integral( )
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The Definite integral f defined on [a,b]for which the limit exists and is same for any choice of partitions .When the limit exists , we say that f is integrable on [a,b].
![The Definite integral f defined on [a,b]for which the limit exists and is same for any choice of partitions.](http://slidesplayer.com/slide/14842077/90/images/8/The+Definite+integral+f+defined+on+%5Ba%2Cb%5Dfor+which+the+limit+exists+and+is+same+for+any+choice+of+partitions..jpg ".When the limit exists , we say that f is integrable on [a,b].")
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Some Special Sum Formula
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Example
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Example
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Example
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Example
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Example Example
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Example
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單元結語 本單元說明了定積分的意義為面積。 面積的求法要能夠以黎曼和求之，黎曼和就是分割後再相加的觀念。
以後是不是要求面積時都需要以黎曼合來計算呢?不！這樣算實在太麻煩了，第四單元，有一個定理叫做”微積分基本定理”，它可簡化我們的計算。 看完本單元後單元後，建議同學多複習上學期所學的各類型導函數的求法。
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