Integral Calculus
Integral Calculus: The Mathematics of Accumulation at mathaversity.com
Welcome to mathaversity.com's Integral Calculus course, your best way to learn the second half of a typical college-level calculus course. Differential calculus and integral calculus are opposites of each other. Derivatives tell you how fast something is changing, while integrals tell you how much that change has added up. It is a very useful tool for figuring out areas, volumes, and total amounts in the real world.
This class is for students who already know a little about derivatives but need to get better at integration. Our program will help you go from just memorizing formulas to really understanding the main ideas behind them.
Why should you use mathaversity.com for integral calculus?
Expert Tutors
Our site links you up with college-level teachers who are experts in calculus. They can help you understand difficult ideas and problem sets by working with you one-on-one.
Targeted Learning
Our Integral Calculus program is different from a full-length Calculus course because it focuses on a specific problem that many students have. We only talk about integration so that everyone has a full and deep understanding of it.
Comprehensive Practice Materials
- We have a huge library of resources to help you learn, such as:
- Worksheets for each idea that are specific to that topic.
- Step-by-step solutions for every problem, so you can see how to do it and learn from your mistakes.
- Our modules are available 24/7, so you can learn at your own pace and fit your studies into your busy schedule.
Key Topics Covered in Our Integral Calculus Course
Our curriculum is meticulously structured to provide a comprehensive and targeted learning experience. We will guide you through the foundational concepts and build up to practical applications.
The Basics of Integration
- Antiderivatives: Learn the fundamental concept of an antiderivative, which is the inverse operation of differentiation.
- Indefinite Integrals: Master the process of finding indefinite integrals and understanding the constant of integration. We will cover the basic integration rules, such as the Power Rule for integration,
The Fundamental Theorem of Calculus
- The Definite Integral: Understand the definite integral as the area under a curve. We'll explore Riemann Sums as a way to approximate this area.
- The Bridge to Calculus: Master the Fundamental Theorem of Calculus, a cornerstone of the subject. This theorem provides a powerful method for evaluating definite integrals by using antiderivatives.
Essential Integration Techniques
- u-Substitution: Learn this essential and widely used technique for simplifying integrals by changing the variable of integration.
- Integration by Parts: For students who are ready to dive deeper, we'll introduce this advanced technique, which is the inverse of the Product Rule for differentiation.
Applications of Integration
- Area Between Curves: Use definite integrals to find the area of a region bounded by two or more curves.
- Volumes of Solids: Apply integrals to calculate the volumes of solids of revolution using the Disk and Washer methods. These techniques are vital in fields like engineering and physics.
Who Should Sign Up for This Class?
Students who are currently taking calculus: If you are having trouble with the integration part of your Calculus 1 or 2 class and need extra help that is focused.
Students Getting Ready for Tests: If you need a quick but thorough review of integrals before a final exam or a placement test.
Adults and professionals who need to improve their integration skills for school or work.
Are you ready to learn the last part of single-variable calculus?
Sign up for our Integral Calculus course at MathAversity.com today and get the confidence you need to do well.
