Master the essential concepts of integral calculus and discover the fundamental theorem that revolutionizes mathematical analysis. In this comprehensive course, you'll develop expertise in calculating definite and indefinite integrals, apply integration techniques to real-world problems, and understand the profound connection between differentiation and integration.
Integral Calculus & The Fundamental Theorem
您将学到什么
Calculate definite and indefinite integrals using systematic integration techniques including partial fractions and integration by parts.
Apply integration to solve real-world problems including area calculation, volume of revolution, and curve length determination.
Master the fundamental theorem of calculus and understand the profound connection between differentiation and integration.
Identify appropriate integration techniques for different problem types and execute calculations with accuracy and precision.
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March 2026
作业
6 项作业
授课语言：英语（English）
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该课程共有3个模块
You will be introduced to definite and indefinite integrals this week and will learn how to simplify complex expressions using partial fractions. You are provided with practice integration techniques and will explore how these tools are used in real-world data analysis.
涵盖的内容
2个视频12篇阅读材料2个作业2个插件
Integration by parts is introduced this week alongside applications such as calculating areas, volumes, and curve lengths. You can work through examples and practice problems to understand how integration supports modelling and analysis.
涵盖的内容
2个视频20篇阅读材料2个作业1个插件
This week we will explore Fundamental Theorem of Calculus, linking differentiation and integration. You are going to study both parts of the theorem and apply it to evaluate definite integrals and understand accumulation.
涵盖的内容
2个视频6篇阅读材料2个作业
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常见问题
To access the course materials, assignments and to earn a Certificate, you will need to purchase the Certificate experience when you enroll in a course. You can try a Free Trial instead, or apply for Financial Aid. The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile.
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.
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