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In addition to basic integration techniques, advanced integration techniques are often necessary and/or more efficient in reaching the desired solution. One technique is integration by parts, a process that finds the integral of a product of functions in terms of the integral of the product of their derivative and antiderivative. Another example is integration by substitution, also known as u-substitution, the reverse chain rule, or change of variables. This is the counterpart to the chain rule for differentiation, which can loosely be thought of as using the chain rule “backward.”
Table of Integrals and Derivatives | 04:35 |
Integral Examples 1 | 05:36 |
Integral Examples 2 | 09:52 |
Integration by Substitution | 06:57 |
Integration by Substitution: Examples | 11:04 |
Integration by Parts: Example 1 | 08:28 |
Integration by Parts: Example 2 | 06:05 |
Integration: Exercise 1 | 04:48 |
Integration: Exercise 2 | 03:50 |
Integration: Exercise 3 | 05:07 |
Quiz for course „Advanced Integration“ |