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Integral Calculus -Concepts and Applications
1 students

Integral Calculus -Concepts and Applications

A Complete Guide to Integral Calculus
Created bySuman Mathews
Last updated 7/2026
English

What you'll learn

  • Learn how to start with the basics of Integration and understand the concept of antiderivative.
  • You'll learn the most important method, namely, the Substitution method in Integration
  • Learn the different formulas in Trigonometric Integrals and how to evaluate them
  • Learn a remarkable technique of using Special Integral formulas in problem solving.
  • Get introduced to Quotient functions and how to integrate them
  • You'll learn Integration by parts and it's applications
  • Also learn about Definite Integrals and how to use them in problem solving
  • Test your knowledge with Objective Questions on Integrals

Course content

22 sections30 lectures3h 5m total length
  • Introduction1:11

Requirements

  • This course requires a Basic knowledge of Differentiation which can be learnt from my courses on Differentiation.

Description

This course teaches you Integral Calculus. Once you finish the course, you'll get a clear idea of how to solve problems on integral Calculus. You'll be able to handle any course which uses integral calculus as a tool.



You know how important it is for you to know Integration if you are a student of Mathematics. But yet, somewhere, along the way, you get lost. Having taught Mathematics to teenagers and adolescents for the past three decades, I can help you understand the nuances of Integration.


Take up the Integration Challenge.  Right from taking baby steps in Integration, you will move on to a Higher level of understanding This course starts with the very basics of Integration. You will start with the concept of Integral as antiderivative and a few basic formulas of Integration. Understand that integration is same as anti derivative.


The course then introduces you to the substitution method. Take up the challenge to solve the problems given. You will learn how to compare methods and that any problem in Integration can be solved using this method.


You are getting an irresistible bargain in this course. Trigonometric Integrals and certain special integral formulas are taught here.. I would advise each one of you to hurry and join this course.


The next part of this course would show you how to integrate when the degree of the numerator is greater than the degree of the denominator. You will see the long division method. One can also learn about partial fractions here.


You'll learn how to integrate by parts and the right order to be followed when you do so. An interesting, yet important application is also illustrated here.


Watch step by step solutions to problems. Practice along with me and become adept in Integration. I hope this course will help you.

Learn Definite Integrals for AP Calculus. Learn how to use the Left Sum, Right Sum, Midpoint Rule and Trapezoidal Rule in Definite Integrals.


Learn about Definite Integrals and how to use it in problem solving. Learn how to calculate average value of a function and solve problems on Definite Integrals AP Calculus.

Use the Objective Question Bank on Integrals. Learn tips and Strategies for Mastering Tricky Integrals. AP Calculus BC lessons are also provided.


Learn the concept of Integration as Anti Derivative. Used in AP Calculus, BC exams. Learn about Riemann Sums in Definite Integrals and how to write them. Also learn about the Left Sum and Right Sum for Integration. Used in AP Calculus.


Here, you'll learn how to evaluate definite integrals using the Midpoint Rule in Integration. Learn how to solve problems in Definite Integrals using the Left Sum and Trapezoidal Rule. Practice problem solving in Definite Integrals.

Practice problems in AP Calculus


Learn Applications of Integrals in AP Calculus. Learn basic cross sectional formulae.


Would you care to share this with your fellow students and friends who are finding Integration difficult? Spread the good word around. You are all worth it.



Who this course is for:

  • Mathematics students at the college level