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 (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.
微积分(Calculus)_第一类型瑕积分(Improper Integrals of Type I) ChiTungChang 911 1 微积分(Calculus)_三角代换法(I)(Trigonometric Substitution (I)) ChiTungChang 1068 0 微积分(Calculus)_奇偶函数的定积分(The Definite Integrals of Odd and Even Functions) ChiTungChang 347 0 微积分(Calculus)_...
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
Rather, on this page, we substitute a sine, tangent or secant expression in order to make an integral possible. Example 1 ∫ dx (x2+9)3/2 Answer Example 2 12345678910111213140.10.2xyOpen image in a new page Answer Exercises Integrate each of the given functions: ...
=(sin 2x)/2 + C We can reverse this rule: We can let x = v (in terms of u)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 ...
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 $$\...
need to develop is to determine which of these basic rules is needed to solve an integration problem. Learning Objectives A student will be able to: Compute by hand the integrals of a wide variety of functions by using the technique of substitution. Apply the substitution technique to definite...
[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] Integration - By ... 791播放 01:31 [60] Integ...
Common FunctionsFunctionIntegral Constant∫a dxax + C Variable∫x dxx2/2 + C Square∫x2dxx3/3 + C Reciprocal∫(1/x) dxln|x| + C Exponential∫exdxex+ C ∫axdxax/ln(a) + C ∫ln(x) dxx ln(x) − x + C Trigonometry (x inradians)∫cos(x) dxsin(x) + C ...