This video focuses on integration involving the natural logarithm (ln). In particular, this video highlights the concept of trigonometric substitutions, u substitutions and the integral of a function that results in the natural logarithm.

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In this video, I give 2 examples of how to find volumes of solids using the washer method.

To a system of m equations in n variables, we can associated an m by n matrix A, and a linear transformation T from n dim space to m dim space. The kernel and rank of this transformation give us geometric insight into whether there are solutions, and if so what the solutions look like.…

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