Changes

Jump to navigation Jump to search

Integration by parts (view source)

Revision as of 05:09, November 26, 2007

97 bytes added ,  05:09, November 26, 2007
improved
Line 3: Line 3:  
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><big><big><math>\int f(x) g'(x)\,dx = f(x) g(x) - \int f'(x) g(x)\,dx,</math></big></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 power of ''x'' and the other function  is a trigonometric function or ''e'' raised to a power of ''x''.
    +
Note that it may be necessary to repeat the '''integration by parts''' several times, one for each power of ''x''.
 
[[category:mathematics]]
 
[[category:mathematics]]
 
[[category:calculus]]
 
[[category:calculus]]
Aschlafly
Anthony, Irenaeus, Siteadmin, apieditor, Bureaucrats, Check users, nsAm_Govt_101RO, nsAm_Govt_101RW, nsAm_Govt_101_ta, nsJudgesRO, nsJudgesRW, nsJudges_talkRO, nsJudges_talkRW, nsTeam2RO, nsTeam2RW, nsTeam2_talkRO, nsTeam2_talkRW, oversight, Administrators
126,570

edits

Retrieved from "https://www.conservapedia.com/Special:MobileDiff/343240"

Navigation menu