第四單元 微積分基本定理
Who links differentiation and Integration? Hi! My name is Newton, I invented the “Calculus”! Oh No! He told a lie.
The Fundamental Theorem of Calculus
The Fundamental Theorem of Calculus Consider the function A(x)
Proof of Fundamental theorem of Calculus
Proof of Fundamental theorem of Calculus
Evaluating a definite Integral
Example Solution: By Fundamental Theorem of Calculus
The Second Fundamental theorem of Calculus
Example
Theorem
Leibnitz Rule
Reason of Leibnitz Rule
Definition( Even Function)
Theorem( Odd Function)
Theorem
Theorem
Example
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。