We will go over 8 type 2 improper integrals for your calculus 2 class or AP calculus BC class. A type 2 improper integral means we have a vertical asymptote on the interval that we are integrating. Keep in mind, an improper integral is a combination of integral and limit. So you must remember all the integration techniques and also how to take the limit.
Check out type 1 improper integrals: https://youtu.be/w46sjRIkV7Y
0:00 how do we do improper integrals? (type 2 improper integral, 8 examples)
0:17 integral of e^(1/x)/x^2 from 0 to 1
3:07 integral of 1/(x*sqrt(ln(x)) from 1 to e
5:40 integral of tan(x) from 0 to pi/2
8:13 integral of (ln(x))^2/x from 0 to 1
10:35 integral of 1/sqrt(1-x^2) from 0 to 1
12:44 integral of 1/cbrt(x) from -1 to 8
17:40 integral of 1/x^4 from -2 to 1
21:57 integral of 1/(x^2+x-2) from 1 to 2
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