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Integration by parts (view source)

Revision as of 05:08, November 26, 2007

12 bytes added ,  05:08, November 26, 2007
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The rule for '''integration by parts''' is stated as follows:
 
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>
+
:<big><big><big><math>\int f(x) g'(x)\,dx = f(x) g(x) - \int f'(x) g(x)\,dx,</math></big></big>
    
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''.
 
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''.
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