[MAT1322] - Midterm Exam Guide - Everything you need to know! (12 pages long)
6 Feb 2017
School
Department
Course
Professor
Document Summary
Improper integrals f(x) is continuous between a and b recall: power rule. Now: f is not necessarily continuous over [a,b] anymore. ex) we want. Instead: go from t to 9, where . the area from t to 9 is closed and finite. This is an improper integral with a discontinuous integrand ( is not defined for all x in [a,b] or is not continous on [a,b]. **use limit to let t go to 0 and see what happens o the area. Despite the area being apparently open, it is finite! Again: now, take the limit area between t and 1 under. Lecture 2: improper integrals part 2, area between 2 curves. 3:57 pm infinite). the integral convergent. is finite despite f(x) being discontinuous on [a,b] then we call area is infinite! This is one type of an improper integral. We call integrals divergent (the area under the curve is.
