integration by parts

khaled199402

New member
Joined
Mar 6, 2015
Messages
1
Hello !


f and g two functions of classe
inclus.gif
n on [a,b],n
appartient.gif
N.gif
*...okéy!!

the problem was :


calculate
derivative of
:



k=0n-1
somme.gif
(-1)kf(k)(t).g(n-k-1)(t).


deduce the expression of integration by parts :

Code:
[COLOR=#172228][FONT=trebuchet MS]

[/FONT][/COLOR][TABLE="class: tablestyle, width: 1137"]
[TR]
[TD][IMG]http://www.ilemaths.net/img/smb-bleu/integrale.gif[/IMG][SUP]b[/SUP][SUB]a[/SUB]f(t).g[SUP](n)[/SUP](t) dt = [[SUB]k=0[/SUB][SUP]n-1[/SUP][IMG]http://www.ilemaths.net/img/smb-bleu/somme.gif[/IMG](-1)[SUP]k[/SUP]f[SUP](k)[/SUP](t).g[SUP](n-k-1)[/SUP](t)][SUP]b[/SUP][SUB]a[/SUB] + (-1)[SUP]n[/SUP].[IMG]http://www.ilemaths.net/img/smb-bleu/integrale.gif[/IMG][SUP]b[/SUP][SUB]a[/SUB]f[SUP](n)[/SUP](t).g(t) dt .[/TD]
[/TR]
[/TABLE]

who can help me !
smile05.gif
smile04.gif
 
Top