integration by substitution 英[ˌɪntɪˈgreɪʃən bai ˌsʌbstɪˈtu:ʃən] 美[ˌɪntɪˈɡreʃən baɪ ˌsʌbstɪˈtuʃən] 释义 代换积分法 行业词典 数学 换元积分法
Integration by Substitution (also called u-Substitution or The Reverse Chain Rule) is a method to find an integral, but only when it can be set up in a special way.
integration by substitution 代换积分法 effect of substitution 替代效应 electrophilic substitution 亲电子取代作用 substitution swap 替代掉换系债券掉换(*bond swap)的一种,指为了改善原有债券的一个或数个性质(品质、收益率等),而同时卖出某一证券以买入另一种证券的操作方式。 substitution class phr. n....
The theoretical basis for integration by substitution is the chain rule for differentiation, which says that$$\\frac{d} {{dx}}f(g(x))\\; = f'(g(x))\\;g'(x)$$. Regarding integration as the reverse of differentiation leads us to integrate both sides of this equation to write $$\...
we have ∫f(x) dx = ∫f(v)v' du Example: ∫sqrt(1-x^2) dx Let x=sin u dx/du=cos u =∫sqrt(1-sin^2 u) cos u du =∫cos^2 u du By using double angle formula one more substitution =(sin 2u)/2 + u/2 + C x=sin u u=arcsin x =(sin (2arcsin x))/2...
1. Integration by Substitution Sometimes, a well-chosen substitution will reduce a complex integration problem into a straightforward one. Example: Consider this problem, \(I = \int {\frac{{\log x}}{x}} dx\) We do not have a formula that gives antiderivative of \(\log x\). Here we...
[53] Integration - By ... 1293播放 03:04 [54] Integration - By ... 1340播放 01:56 [55] Integration - By ... 824播放 02:35 [56] Integration - By ... 1024播放 02:08 [57] Integration - By ... 1287播放 03:36 [58] Integration - By ... 890播放 07:11 [59] Inte...
substitutionintegration积分法代换integrandtrigonometric 1 10.1 Integration by Substitution Each basic rule of integration that you have studied so far was derived from a corresponding differentiation rule. Even though you have learned all the necessary tools for differentiating exponential, logarithmic, trigono...
The integration by second substitution is an important method of calculating indefinite integral,it has a certain application,it usually applies to calculate some integrals of irrational function. 第二换元积分法是求函数不定积分的一种重要方法,具有一定的适用范围,对某些无理函数的积分的求解通常使用该方法...
1) Integration by substitution 万能代换法 2) omnipotence 万能 1. Introduce anomnipotencepress automatism dividing device,explained it operation principle. 介绍了冲压万能自动分度装置,说明了其工作原理。 3) universal pass 万能孔型 1. Simulation and analysis on continuous rolling deformation of heavy rail ...