Calculus II: Lesson 9: Integration by Substitution: Worked ExamplesJack Wagner
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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 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
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...
[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...
Explore the steps in integration by substitution. Learn the importance of integration with the chain rule and see the u-substitution formula with...
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....
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...
AP CalculusIntegral——IntegrationbySubstitution2015.12.16 Rules: If , then . If , thenIf , . Evaluate the indefinite integral. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. AP CalculusIntegral——IntegrationbySubstitution2015.12.17 Evaluate the ...