Quiz: calculating a definite integral
01-03-2014, 09:04 PM (This post was last modified: 01-03-2014 09:05 PM by Bunuel66.)
Post: #41
 Bunuel66 On Vacation Posts: 29 Joined: Jan 2014
RE: Quiz: calculating a definite integral
(01-03-2014 08:39 PM)Thomas Klemm Wrote:
(01-03-2014 05:38 PM)Bunuel66 Wrote:  This seems to show that having the equality is not enough for keeping it directly after integrating.
The problem I see is that $$u=-\frac{1}{x}$$ is not defined for $$x=0$$. The Taylor-series of $$\exp(u)$$ is not defined for $$u=-\infty$$.

Cheers
Thomas

Don't get the point, $$\exp(-\infty)$$=0. The serie is converging whatever the sign of x (more and more slowly as you're closing to 0-....). Then we have two expressions who provides similar values whatever the sign of x, and after integration we have a new set of expressions with one which is no more defined on one side (x<0). And as you mention, this is not exactly a Taylor serie in the sense that the sum is not using the derivatives of u(x). The problem is maybe a little bit more subtle (at least for me) than it seems ;-(...

Regards
 « Next Oldest | Next Newest »

 Messages In This Thread Quiz: calculating a definite integral - Thomas Klemm - 12-30-2013, 09:37 PM RE: Quiz: calculating a defined integral - John Smitherman - 12-30-2013, 10:46 PM RE: Quiz: calculating a defined integral - W_Max - 12-30-2013, 11:44 PM RE: Quiz: calculating a defined integral - Thomas Klemm - 12-31-2013, 06:37 AM RE: Quiz: calculating a defined integral - Namir - 12-31-2013, 04:24 AM RE: Quiz: calculating a defined integral - Thomas Klemm - 12-31-2013, 04:56 AM RE: Quiz: calculating a defined integral - walter b - 12-31-2013, 08:54 AM RE: Quiz: calculating a defined integral - Thomas Klemm - 12-31-2013, 09:14 AM RE: Quiz: calculating a defined integral - walter b - 12-31-2013, 10:12 AM RE: Quiz: calculating a defined integral - Paul Dale - 12-31-2013, 07:13 AM RE: Quiz: calculating a defined integral - peacecalc - 12-31-2013, 10:24 AM RE: Quiz: calculating a definite integral - Thomas Klemm - 01-01-2014, 10:31 PM RE: Quiz: calculating a definite integral - walter b - 01-02-2014, 08:11 AM RE: Quiz: calculating a definite integral - Thomas Klemm - 01-02-2014, 06:09 PM RE: Quiz: calculating a definite integral - Gerson W. Barbosa - 01-02-2014, 11:34 AM RE: Quiz: calculating a definite integral - Thomas Klemm - 01-02-2014, 01:14 PM RE: Quiz: calculating a definite integral - Gerson W. Barbosa - 01-03-2014, 01:49 AM RE: Quiz: calculating a defined integral - peacecalc - 12-31-2013, 10:57 AM RE: Quiz: calculating a defined integral - Thomas Klemm - 12-31-2013, 01:14 PM RE: Quiz: calculating a definite integral - Gerson W. Barbosa - 01-16-2014, 08:21 PM RE: Quiz: calculating a defined integral - Paul Dale - 12-31-2013, 01:29 PM RE: Quiz: calculating a defined integral - walter b - 12-31-2013, 02:16 PM RE: Quiz: calculating a defined integral - Thomas Klemm - 12-31-2013, 06:01 PM RE: Quiz: calculating a definite integral - Ángel Martin - 01-03-2014, 07:20 AM RE: Quiz: calculating a defined integral - peacecalc - 12-31-2013, 02:20 PM RE: Quiz: calculating a defined integral - Thomas Klemm - 12-31-2013, 05:55 PM RE: Quiz: calculating a definite integral - peacecalc - 01-02-2014, 08:36 AM RE: Quiz: calculating a definite integral - Thomas Klemm - 01-02-2014, 09:42 AM RE: Quiz: calculating a definite integral - peacecalc - 01-02-2014, 10:12 AM RE: Quiz: calculating a definite integral - Thomas Klemm - 01-02-2014, 11:55 AM RE: Quiz: calculating a definite integral - Bunuel66 - 01-02-2014, 11:39 PM RE: Quiz: calculating a definite integral - Thomas Klemm - 01-03-2014, 05:18 AM RE: Quiz: calculating a definite integral - walter b - 01-03-2014, 06:08 AM RE: Quiz: calculating a definite integral - Thomas Klemm - 01-03-2014, 07:03 AM RE: Quiz: calculating a definite integral - Bunuel66 - 01-03-2014, 11:42 AM RE: Quiz: calculating a definite integral - Thomas Klemm - 01-03-2014, 12:47 PM RE: Quiz: calculating a definite integral - Bunuel66 - 01-03-2014, 01:29 PM RE: Quiz: calculating a definite integral - Thomas Klemm - 01-03-2014, 02:50 PM RE: Quiz: calculating a definite integral - Bunuel66 - 01-03-2014, 05:38 PM RE: Quiz: calculating a definite integral - Thomas Klemm - 01-03-2014, 08:39 PM RE: Quiz: calculating a definite integral - Bunuel66 - 01-03-2014 09:04 PM RE: Quiz: calculating a definite integral - Thomas Klemm - 01-06-2014, 10:28 AM RE: Quiz: calculating a definite integral - Bunuel66 - 01-07-2014, 06:12 PM RE: Quiz: calculating a definite integral - Thomas Klemm - 01-09-2014, 07:45 AM RE: Quiz: calculating a definite integral - W_Max - 01-03-2014, 08:03 PM RE: Quiz: calculating a definite integral - Thomas Klemm - 01-03-2014, 09:32 PM RE: Quiz: calculating a definite integral - W_Max - 01-03-2014, 11:08 PM RE: Quiz: calculating a definite integral - Thomas Klemm - 01-14-2014, 02:31 PM RE: Quiz: calculating a definite integral - walter b - 01-14-2014, 02:53 PM

User(s) browsing this thread: 1 Guest(s)