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所在平台: Udemy |
课程主页: https://www.udemy.com/course/integrals-for-calculus-1-and-2/
课程评论：没有评论
课程名称：微积分1和2的积分技术 课程概述：该课程将全面介绍微积分1和微积分2的所有积分技巧。课程包括8小时的视频讲座、视频测验以及练习题的PDF格式。每个章节结束时都附有可随时暂停的视频测验。该课程将极大地帮助学生为微分方程、微积分1和微积分2的学习做好准备。对于需要复习积分技巧或将要学习更高级数学（如微分方程）的任何人，课程都非常适合。完成本课程后，您将能够熟练处理各种类型的积分。 课程要求： - 高中代数或代数2基础 - 准备好笔记本以便做笔记 - 学习的热情与动力 本课程将涵盖的主题包括： - 定积分和不定积分 - 基本积分规则 - U-替换法 - 三角替换积分法 - 完全平方后的三角替换积分法 - 分部积分法的多次应用与表格法 - 涉及ln(x)的分部积分法、重复应用、表格法、定积分及LIATE法 - 正弦和余弦的幂积分 - 正切和割线的幂积分 - 分式积分，包括线性和不重复的二次、线性和重复的二次及不当有理函数的积分 - 不当积分类型1 通过该课程，学习者将为进一步的高等数学学习打下坚实的基础。
This course will go over all the integral techniques for calculus 1 and calculus 2. This course has 8 hours of video lectures, video quizzes, and practice problems pdf form. Each section is ended with a video quiz that you can pause anytime. This course will greatly prepare students who will be taking differential equation, calculus 1, and calculus 2. This course is perfect for anyone who needs a refresher on integral techniques or who will be taking higher level math such as differential equation. After completing this course you should be familiar for integrating any type of integral.Requirements For This Course:· High school algebra or algebra 2· A notebook to write good notes.· The drive to learn.Topics That Will Be Covered In This Course:· Definite and indefinite integrals· Basic integration rules· U-substitution method· Integration by trigonometric substitution· Integration by trigonometric substitution with completing the square· Integration by parts more than once and tabular method· Integration by parts with: involving ln(x), more than once, tabular method, definite integrals, and with LIATE· Integration powers of sines and cosines· Integration powers of tangents and secants· Integration with partial fraction including linear and non-repeating quadratic, linear and repeating quadratic, and with improper rational function· Improper integral type 1
