3.3: Fundamental Theorem of Calculus
How are a derivative and an integral related? The fundamental theorem of calculus ties these concepts together and helps us to quickly find the area underneath the curve of a function. This theorem allows us to perform complex calculations at a faster rate using a very simple rule.
The fundamental theorem of calculus provides us with another approach to finding definite integrals and is used when multiple functions are involved in finding a specific area.
Take notes as you watch these videos. Listen to the presentations carefully until you are able to understand how integrals and derivatives are use to prove the fundamental theorem of calculus and are able to apply the rule of integrations to find a definite integral.
Read this material on the fundamental theorem of calculus. Please continue on to watch the video in this section. This material discusses the process of using the fundamental theorem of calculus to evaluate definite integrals. Then, complete review questions 1-10 toward the bottom of the page. These exercises will provide you with the opportunity to apply the fundamental theorem of calculus to evaluate definite integrals. The solutions to these problems are located here.
Take notes as you watch the videos. Listen to the presentations carefully until you are able to understand all of the parts of the problem from the Calculus AB Exam.