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606 bytes added , 05:07, November 26, 2007

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'''Integration by parts''' is a special technique to facilitate the integration of the product of two functions that otherwise lack an obvious integral. This technique utilizes the insight of the [[product rule]] or [[chain rule]].

The rule for '''integration by parts''' is stated as follows:

:<big><big><big><math>\int f(x) g'(x)\,dx = f(x) g(x) - \int f'(x) g(x)\,dx,</math>

This rule is often useful when one function is a polynomial and the other function is [[transcendental]], such as a trigonometric function or ''e'' raised to a power of ''x''.

[[category:mathematics]]
[[category:calculus]]

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Revision as of 05:07, November 26, 2007

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