MATH 1LS3 Chapter Notes - Chapter 10: Improper Integral, Riemann Sum

• School: McMaster University
• Department: Mathematics
• Course: MATH 1LS3
• Professor: Miroslav Lovric

Document Summary

7. 5 (additional techniques of integration); 7. 6 (applications of integration), 7. 7 (improper integrals) * read these sections and study solved examples in your textbook! Work on practice problems from the textbook and assignments from the coursepack as assigned on the course web page (under the schedule + homework link) The area between the curves and y = f (x) and between and is y = g(x) x = a x = b. A = b a f (x) g(x) dx. Recall: f (x) g(x) = f (x) g(x) when g(x) f (x) when f (x) g(x) f (x) g(x) The definite integral - average value f (x) area = b a f (x)dx area = base height. = (b a) f f b a f (x) dx. A b a f = f (x) dx. The average value of a function f on the interval from a to b is.