Differentiation and Integration as Inverse Processes 微分 和 积分 互为 逆运算 我们把2个 the Fundamental Theorem 基本定理和起来 The Fundamental Theorem of Calculus 微积分基本定理 其实, 第1部分,可以写成: 也就是,积分后的微分,就是自己 第2部分,可以写成: 也就是,微分后的积分,直接是 函数值的差 理解...
一定不存在 Differentiation and Integration as Inverse Processes 微分 和 积分 互为 逆运算 我们把2个 the Fundamental Theorem 基本定理和起来 The Fundamental Theorem of Calculus 微积分基本定理 其实, 第1部分,可以写成: 也就是,积分后的微分,就是自己 第2部分,可以写成: 也就是,微分后的积分,直接是 函数...
1. Evaluate \frac{d}{dx}( \int_x ^{x^2} \frac{dt}{t^2+3}) : Since: \int_x^{x^2}\frac{dt}{t^2+3}=-\int_a ^{x} \frac{dt}{t^2+3}+\int_a^{x^2}\frac{dt}{t^2+3}\\Differentiate and apply first fundamental theorem of calculus: \int_x^{x^2}\frac{dt}{t^...
TheFundamentalTheoremofCalculus,Part1Iffiscontinuouson a,b,thenthefunction x Fxftdt a hasaderivativeateverypointin a,b,and dFdxftdtfxdxdxa FirstFundamentalTheorem:dxftdtfxdxa 1.Derivativeofanintegral....
calculus n.[U] 微积分学,结石 fundamental adj. 1. 基本的, 基础的,构成基础的,根本的 2.作为起点的,基本的 3.十分重要的,主要的,首要的 4.[~ (to sth) ]根本的,必要的 n . 基本规则,基本原则,基 theorem n.【术语】(尤指数学)定理 konigs'theorem 【计】 科尼希定理 D calculus 【计】...
The Fundamental Theorem of Calculus, Part 1 If f is continuous on , then the function has a derivative at every point in , and First Fundamental Theorem: 2. Derivative matches upper limit of integration. First Fundamental Theorem: 1. Derivative of an integral. ...
fundamentaltheoremofcalculus 微积分基本定理() 也可见: fundamental theorem— 基本定理 ▾ 外部资源(未审查的) Thetheoremthatthe Talmud was the latest developmentoftraditional science has been demonstrated by this discussionofthemeaning and the use of the word itself. ...
James Stewart《微积分》笔记·5.3 The Fundamental Theorem of Calculus(微积分基本定理) JackLin Lūcem sequor. 9 人赞同了该文章 微积分基本定理 设f 在[a,b] 上连续. 1.(FTC1)若 g(x)=∫axf(t) dt( a≤x≤b )则 g′(x)=f(x) . ...
Fundamental Theorem
Fundamental Theorem of Calculus Part 1 If f(x)f(x) is continuous over an interval [a,b],[a,b], and the function F(x)F(x) is defined by F(x)=∫xaf(t)dt,F(x)=∫axf(t)dt, then F′(x)=f(x).F′(x)=f(x). Fundamental Theorem of Calculus Part 2 If ff is continuous ...