MAC2312 Lecture Notes - Lecture 13: Improper Integral
20 Dec 2017
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Document Summary
Provide a generalization to each of the key terms listed in this section. What are improper integrals: improper integrals are integrals with either one or both conditions that aren"t actually met, improper integrals are also de ned when it comes when limits either do or do not exist. When a limit does exist, then that improper integral is convergent. When a limit doesn"t exist, then that improper integral is divergent. If you have r t a f (x) dx actually exist for every number that occurs when t a, then the following would be the provided limit that will exist as a nite number: When t b f (x) dx = lim t z t a f (x) dx. If you have r t a f (x) dx actually exist for every number that occurs when t b, then the following would be the provided limit that will exist as a nite number: t z b.
