Integral Calculus -Concepts and Applications

• 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.

  
  

• This course on Integral Calculus starts at the entry level and gradually builds up your skills.

• Prerequisites: You need to have a basic knowledge of Differential Calculus.

• This is a passive learning course with video lessons explaining every concept along with solved examples. You are advised to practice each problem along with the course. There are also individual questions with youtube links.

• I have taught Math for over three decades to college students and high school students. I can vouch that you will go far with a good knowledge of integration.

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.

This is Lesson One of Competency Based Questions in Integrals for Class 12 Mathematics. You'll start with integrating expressions of the form linear(sqrt(quadratic) and linear/sqrt(quadratic). Use of the substitution method is illustrated especially in the case of exponential functions where you divide numerator and denominator by a common term. You'll learn how to use the right substitution given fractional exponents. Also, learn how to integrate when degree of the numerator is equal to degree of the denominator and how to do long division.

CBSE and ISC Class 12 Competency based questions on Integrals. You'll learn how to split an integral into parts and evaluate it. Also, learn the correct substitution to be used. Learn method of partial fractions and how to evaluate area under curves, by first finding the points of intersection and then integrating within the limits. Also, learn how to apply integrals to Marginal Cost.

This is Competency Based Questions in Class 12 Math Integrals Part Three. You'll learn how to find the profit function given the marginal cost and marginal revenue. Also learn how to compute the producer surplus and consumer surplus. You'll learn how to calculate the equilibrium point given the demand and supply function.Integrals of the form linear/ quadratic are also discussed here. Lastly, you'll learn how to evaluate the linear demand function given the price and quantity.

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.