Integration by parts can also be applied times to :

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In , and more generally in , integration by parts or partial integration is a theorem that relates the of a of functions to the integral of their derivative and antiderivative. It is frequently used to transform the antiderivative of a product of functions into an antiderivative for which a solution can be more easily found. The rule can be derived in one line simply by integrating the of .

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  • Integration by parts - Wikipedia

    It is not actually necessary for and to be continuously differentiable. Integration by parts works if is and the function designated is (but not necessarily continuous). (If has a point of discontinuity then its antiderivative may not have a derivative at that point.)

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