Integration by U Substitution Example Problem #3 |
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This tutorial works through another example problem where we find the solution of an integral using the method of U substitution. We substitute one part of the integrand with the letter U to reduce it to something that is easier to integrate. In this case, the integrand contains the natural logarithm, so we replace the argument of the logarithm with the U. After integrating, we resubstitute the expression for U and the problem is solved. We use a table of integrals in order to speed up the last step of the process.
This video is part of a full free calculus 2 course. The course covers integration by table, integration by substitution, integration by parts, partial fraction decomposition, improper integrals, numerical integration, double integration, triple integration, and partial derivatives. Links: Full Playlist (Website): https://www.engineer4free.com/calculus-2 Full Playlist (YouTube): https://www.youtube.com/playlist?list=PLOAuB8dR35ofx5ET7oo_ZKOhm33yPCcsO Integral Table: https://www.engineer4free.com/extras/integral-table-and-trigonometric-identities Extra Practice Problems: https://www.engineer4free.com/calculus-2-solved-problems If you found this video helpful, then please give a 👍 and subscribe. If you're able to, please support my work on Patreon: https://www.patreon.com/engineer4free Also follow these: Facebook: http://www.facebook.com/engineer4free Instagram: https://www.instagram.com/engineer4free/ Twitter: http://www.twitter.com/engineer4free LinkedIn: https://www.linkedin.com/company/engineer4free Thanks for watching, I hope it helps! |