# Fundamental Theorem of Integral Calculus

## A free online course on definite integral, methods of integration, and the process of estimating with Riemann sums.

Publisher: ADU## Description

Fundamental Theorem of Integral Calculus is a free online course that explores the process of estimating with Riemann sums and trapezoidal approximation methods. Learn how to employ the trapezoid approximation method as opposed to using rectangles with clear illustrations in this course. Before working with sigma notation and its formula, it is important to understand the conversion from rectangular to polar coordinates. This course will take you through the conversion process from rectangular to polar coordinates and the formulas for sums of sequences. This course introduces you to the use of Riemann sum with subintervals to estimate the distance, (in miles) travelled by a particle whose velocity is given. Have you considered using the partition with equal subintervals to estimate the work done? This course analyzes the steps required in finding the area under a curve, as well as the calculus techniques that can be employed to solve ancient problems of calculating complex areas.

If you want to know the use of opposite differentiation or antidifferentiation, as well as how the area of a problem can be solved, then you should take this course. After taking this course, you will be able to explain the properties of the definite integral together with the laws concerning the definite integral. Also, this course will help you understand the required steps on how the definite integral can be distributed to a sum or difference of functions. Do you know the average value of a function on an interval? The course analyzes the second fundamental theorem of integral calculus and the formula for calculating the average value of a function on an interval. This course explains with different examples the formula for calculating the average value of a function on an Interval. If you have struggled with understanding the first fundamental theorem of integral calculus or how to choose uniform partition points, then this course is for you.

Furthermore, you will also learn about integration by the u-substitution method together with the substitution equation that can be used to convert x’s to u’s. This course will take you through the natural logarithmic functions together with further evidence on the power of a u-substitution technique. You will also learn how to reconfigure the integral in terms, as well as the natural exponential functions. Do you know there is a process of differentiating the basic trigonometric functions streamlines and finding many integrals involving trigonometric expressions? This course will help you get a better understanding of the integration by parts technique that can be used frequently for integrating functions that are described by the product of two functions. This course will explain in details the concept of the inverse trigonometric functions, as well as the unique value that can be used to make inverse sine a legitimate function. This free online will be of great interest to students, researchers, and anyone with an interest in a definite integral and methods of integration. Register for this course and start your next learning journey today!

Start Course Now