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# CLEP Calculus: Integral Calculus and Applications

## This free online course explains the various methods of integration, as well as applications of the definite integrals.

If you are a professional, student or someone who has a keen interest in understanding integral calculus and its applications, this free online course will guide you. You will learn about definite and indefinite integrals, formulas for sums of sequences, three sigma laws, as well as integration by u-Substitution. Study how to integrate natural exponential and logarithmic functions. Register now to expand your knowledge on integral calculus.

4-5 Hours

6

CPD

## Description

CLEP Calculus: Integral Calculus and Applications is a free online course that has been specifically designed to teach you about the various methods and application of integration. Are you aware that there are two types of integrals? You will be introduced to their properties, differences and applications. You will learn about the concepts of integration and constant of integration. The relationship between Riemann Sums and area under a curve will be highlighted in this course. You will also be introduced to the functions of Sigma notation along with its various formulas. When working with a variable number of terms in calculus, it is important to understand the dummy variable and stopping point. The multiple formulas for sums of sequences will also be introduced to you.  Did you know that there are three sigma laws? Prepare yourself to learn about their differences, as well as the appropriate use of these laws to simplify calculations. Upon the completion of this course, you will be able to analyze how to get the exact area under a curve.

Two important concepts to understand are the average value of a function on an interval and mean value theorem for integrals. The power rule and basic rules of integration will be covered extensively in this course. u-Substitution allows for an immediate reversal of the process of differentiation. You will learn how to find integrals using the u-Substitution method. This course will teach you how to integrate the six trigonometric functions. When integrating certain binomials, trigonometric substitutions can be useful. You will also be able to discuss integration using lnx if you are working with natural logarithmic functions. Decomposing a fraction into simpler functions is also imperative in Calculus. Examine how to integrate partial functions. There is a slightly more complicated type of first order differential equation. This course will teach you about separable differential equations. You will also be able to explain the technique of integration by parts.

Furthermore, you will acquire knowledge on integrating inverse trigonometric and natural exponential functions. The relationship between the velocity, along with the position function. You will examine how to find the area above and below the x-axis. The volume of a solid of revolution, as well as with a known cross section will also be covered in this course. The formula for area of region in a plane will also be examined.  You will be able to explain the surface of revolution and how to find the arc length. Exponential growth and decay are key concepts in calculus. You will become familiar with their various applications. This course will be of great interest to students, researchers, teachers, and anyone with an interest in integral calculus and applications. So, register for this course and start your next learning journey today.

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