4.4 The Fundamental Theorem of Calculus

By the end of your studying, you should know:
Onscreen applet instructions:
The applet computes the difference quotient of F for a given x. Use the slider to control the value of h. You can choose different values of x from the pulldown menu.
ExamplesThe Scholastic Aptitude Test (SAT) is rescaled so that the scores of n people, ranging from 0 to 1600, fit a distribution in the shape of the following function:What is the probability that a random person will score between 1200 and 1250? VideosSee short videos of worked problems for this section.
QuizExercisesSee Exercises for 4.4 The Fundamental Theorem of Calculus (PDF).Work online to solve the exercises for this section, or for any other section of the textbook. 
Resources on the WebInformation on NewtonBiographical data from St. Andrew's University's Web site Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Information on Leibniz
Calculus Applications
Fundamental Theorem

Interesting ApplicationNothing yet has been found. Any ideas? 
4.3 Properties of the Definite Integral  Table of Contents  4.5 Techniques of Integration 
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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel