Integration by parts is one of the rules to solve integration problem.
But i want to know when it is used or when it is neccessary?Please explain me.
2006-08-01 04:42:08 · 7 answers · asked by star123 2 in Science & Mathematics ➔ Mathematics
It is used mostly in the following cases:
1. Integration of f(x) * x^m where m is an integer, and f(x) is easily integrable. Keep differentiating the x^m term while integrating f(x) term, you eventually get rid of the x^m related term.
2. Integration of f(x) * cosx or f(x) * sinx, when f(x) is also "cyclic" in terms of integration/differentiation like sinx or cosx. By "cyclic", I mean after 2 integrations or differentiations, it goes back to its original form, or something similar. The caveat is then you get an equation that you may be able to solve for the integration.
3. Integration of lnx * f(x) while f(x) is integrable. You can differentiate lnx to get rid of the ln, which is usually troublesome in integration.
Other cases may also apply, but most problems you encounter fall into one of these 3 categories.
2006-08-01 05:20:24 · answer #1 · answered by Stanyan 3 · 0⤊ 0⤋
Integration for deviation
2006-08-01 04:46:37 · answer #2 · answered by Rim 6 · 0⤊ 0⤋
Google has some good articles about this.
2006-08-01 04:45:36 · answer #3 · answered by NA A 5 · 0⤊ 0⤋
whenthe other methods,the easier ones cannot be successfullyused and when you have the
Logarithmic,inversetrigonometrical,algebraic,trigonometrical and exponent functions areinvolved.
2006-08-01 04:48:38 · answer #4 · answered by raj 7 · 0⤊ 0⤋
My wife tells me that this is one of the best sites
http://www.ugrad.math.ubc.ca/coursedoc/math101/notes/techniques/parts.html
2006-08-01 04:49:46 · answer #5 · answered by prith71 1 · 0⤊ 0⤋
there's no general rule: only experience will show you when to use it.
2006-08-01 04:46:43 · answer #6 · answered by Anonymous · 0⤊ 0⤋
i'm sorry i can't explain you.
2006-08-01 12:21:35 · answer #7 · answered by petestokalovich 2 · 0⤊ 0⤋