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所在平台: Udemy |
课程主页: https://www.udemy.com/course/master-in-integrations/
课程评论：没有评论
Coursera 上的《积分微积分 - 积分》课程概述： 本课程旨在教授学员如何运用多种方法求解函数的积分。具体涵盖以下积分技巧： * **幂函数积分法则 (Power Rule)**：掌握计算任意幂函数积分的基本方法，并学习其两个版本 (Version I and II)。 * **换元积分法 (Integration by Substitution)**：学习如何通过变量替换来简化和求解积分。 * **反三角函数积分**：掌握与反三角函数相关的积分计算。 * **双曲函数积分**：学习双曲函数的积分方法。 * **反双曲函数积分**：掌握与反双曲函数相关的积分计算。 * **指数函数积分**：学习指数函数的积分。 * **三角换元积分法 (Integration by Trigonometric Substitution)**：通过三角函数替换来求解积分。 * **分部积分法 (Integration by Parts)**：掌握利用分部积分法来处理复杂积分。 * **降幂公式 (Reduction Formula)**：学习如何使用降幂公式来简化高次幂的积分。 * **三角函数和角差公式积分**：学习计算形如 Cos(A+B), Cos(A-B), Sin(A+B), Sin(A-B) 的积分。 * **正弦函数幂次积分**：学习计算任意次幂的正弦函数积分。 通过以上方法的学习，学员将能够有效地计算各种函数的积分。
Students will be able to find the integrals of functions using the following methods: In this method, you will be able to evaluate the integrals of any function by using Integration by Power Rule: In this method, you will be able to evaluate the integrals of any function by using, Integration by Power Rule version I and IIIn this method, you will be able to evaluate the integrals of any function by using Integration by SubstitutionIn this method, you will be able to evaluate the integrals of any function by using Integration related to Inverse Trigonometric FunctionsIn this method, you will be able to evaluate the integrals of any function by using the Integration of Hyperbolic FunctionsIn this method, you will be able to evaluate the integrals of any function by using Integration related to Inverse Hyperbolic FunctionsIn this method, you will be able to evaluate the integrals of any function by using the Integration of Exponential FunctionsIn this method, you will be able to evaluate the integrals of any function by using Integration by Trigonometric SubstitutionIn this method, you will be able to evaluate the integrals of any function by using Integration by PartsIn this method, you will be able to evaluate the integrals of any function by using Reduction formula In this method, you will be able to evaluate the integrals of any function by using Integration of the form Cos(A+B), Cos(A-B), Sin(A+B), Sin(A-B)In this method, you will be able to evaluate the integrals of any Power of the sine function.
