auto ad

Wednesday, October 1, 2008

integration using "by parts " rule

evaluate ∫ { lnx / [x^4]} dx

take lnx as the first function

{ lnx / [x^4]} dx = {lnx} { 1 / [x^4]} dx

= {lnx} {-1 /[ 3 x ³] } - {1/x}{-1 /[ 3 x ³] } dx

= {-lnx /[ 3 x ³] } - {-1 /[3 [x^4]] } dx

= {-lnx /[ 3 x ³] } + {-1 /[9 x³] } + C

= {-1/[ 3 x ³] } { lnx + (1/3) } +C



formulae for integration

another example on integration by parts


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.














No comments:

Post a Comment

please leave your comments