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By looking at the product rule for derivatives in reverse, we get a powerful integration tool. Introduction to integration by parts (kind of the reverseproduct rule). Integration by parts tabular (updated).
Sometimes we can integrate rational functions by using the method of completing square in denominator and then integrating usubstitution o. Practice this lesson yourself on khanacade. Worked example of finding an indefinite integral where integration by parts is applied twice.
Practice this lesson yourself on khanacad. Created by sal khan. When finding a definite integral using integration by parts, we should first find the antiderivative (as do with indefinite integrals), but then should.
Another example of using usubsitution.