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....
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
Explore the steps in integration by substitution. Learn the importance of integration with the chain rule and see the u-substitution formula with...
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...
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 $$\...
In this lesson, learn the technique of integration by u-substitution, its step-by-step method, and see different examples.
integrand will be best for substitution by However, with practice, you will develop a skill for choosing the right term. Recall from Chapter 2 that if is a differentiable function of and if is a real number and then the Chain Rule tells us that The reverse of this formula is the ...
Integration by Substitution 15:45 ALevel 数学 Edexcel P4 Evaluate a Definite Integral by Substitution 30:33 ALevel 数学 Edexcel P4 Trigonometric Substitution 14:42 ALevel 数学Edexcel P4 integration by parts trigonometric identity 38:35 ALevel 数学 P4 Edexcel Integration by Parts Natural Logarithms 13:...
[51] Integration - By ... 928播放 待播放 [52] Integration - By ... 1483播放 02:50 [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] Inte...