4.4 The Fundamental Theorem of Calculus
By the end of your studying, you should know:
On-screen 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 pull-down 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.
ExercisesSee 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 Newton
Biographical data from St. Andrew's University's Web site
Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Nothing 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