\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^2+3}=-\frac{d}{dx}\int_a ^{x} \frac{dt}{t^2+3}+\frac{d}{dx}\int_...
FTC(Fundamental Theorem of Calculus)是微积分学中的一个重要定理,有两个版本:FTC Part I和FTC Part II。 FTC Part I: 如果f是一个连续的函数,那么函数F(x)=∫f(t)dt从a到x的值就是f(x)的积分。 FTC Part II: 如果f是一个连续的函数,那么函数F(x)=∫f(t)dt从a到x的反函数f(x)就是f(t)...
FTC1微积分是指第一基本定理（Fundamental Theorem of Calculus，简称FTC）的第一部分，它描述了微积分中的导数和积分之间的关系。FTC1微积分可以帮助我们更好地理解微积分的本质，它告诉我们如何利用导数求出函数的积分或用积分求出函数的导数。FTC1微积分是微积分中的重要概念，它在数学、物理、工程等...
1、中文名：微积分的基本定义外文名：the Fundemental Theorem of Calculus所属学科：微积分缩写：FTC艾萨克·牛顿爵士和戈特弗里德·威廉·莱布尼兹证明了微分和面积和的定积分或极限。本文到此讲解完毕了，希望对大家有帮助。
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FTC- Fast Track Calculus Calcul de la voie rapide Divers/Non classé FTC- Federal Trade Council Commission fédérale du commerce Gouvernemental/Conseil FTC- Foil The Communists Vaincre le Parti communiste Divers/Non classé FTC- For The Children ...
Chapter 4: Integration Section 4.3: Fundamental Theorem of Calculus and the Indefinite Integral Essentials Fundamental Theorem of Calculus The basic mechanism for evaluating a definite integral is the Fundamental Theorem of Calculus (FTC), formally...
This note addresses evaluation of Lebesgue integrals on the real line using the Fundamental Theorem of Calculus, without having to verify that the primitive is absolutely continuous.doi:info:doi/10.4169/amer.math.monthly.121.04.361J. J. Koliha...
doi:10.4169/amer.math.monthly.121.04.361This note addresses evaluation of Lebesgue integrals on the real line using the Fundamental Theorem of Calculus, without having to verify that the primitive is absolutely continuous.J. J. KolihaThe University of MelbourneThe American Mathematical Monthly...