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
Gain insight into a topic and learn the fundamentals.
Intermediate level
Recommended experience
1 week to complete
at 10 hours a week
Flexible schedule
Learn at your own pace
What you'll learn
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.
Details to know
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Recently updated!
March 2026
Assessments
6 assignments
Taught in English
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There are 3 modules in this course
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.
What's included
2 videos12 readings2 assignments2 plugins
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.
What's included
2 videos20 readings2 assignments1 plugin
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.
What's included
2 videos6 readings2 assignments
Instructor
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Frequently asked questions
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