This Calculus 2 video explain improper integrals. We show you how an integral is improper if it has an infinite bound of any kind or if it has an infinite discontinuity (vertical asymptote) on the interval of integration. We look at two main types of improper integrals, and explain how to use a dummy variable and limits to evaluate each type of improper integral. This limit method allows us to determine convergence and divergence of the integrals.
0:00 Introduction
1:11 How to substitute variables for bounds
3:06 Example 1 (Infinite bound)
5:01 Example 2 (Infinite bound)
7:00 Example 3 (Infinite bound)
9:14 Example 4 (Two infinite bounds)
13:36 Improper integrals without infinite bounds
15:33 Example 5 (Vertical asymptote)
18:02 Example 6 (Vertical asymptote)
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