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第四單元 微積分基本定理
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Who links differentiation and Integration?
Hi! My name is Newton, I invented the “Calculus”! Oh No! He told a lie.
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The Fundamental Theorem of Calculus
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The Fundamental Theorem of Calculus
Consider the function A(x)
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Proof of Fundamental theorem of Calculus
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Proof of Fundamental theorem of Calculus
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Evaluating a definite Integral
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Example Solution: By Fundamental Theorem of Calculus
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The Second Fundamental theorem of Calculus
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Example
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Theorem
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Leibnitz Rule
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Reason of Leibnitz Rule
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Definition( Even Function)
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Theorem( Odd Function)
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Theorem
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Theorem
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Example
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單元結語 本單元將微分和積分貫穿相連，是非常重要的觀念，同學常常忽略本單元的重要性 。
本單元正式賦予不定積分的功用，沒有微積分基本定理，不定積分只是反導數而已。 學過微積分基本定理，求曲線下的面積變得不必要辛苦的求黎曼和，是強而有力的計算面積工具。
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