Crash when Solve for Integral with 15C
06-14-2021, 09:20 PM
Post: #79
 Albert Chan Senior Member Posts: 2,004 Joined: Jul 2018
RE: Crash when Solve for Integral with 15C
(09-02-2017 08:55 PM)Gerson W. Barbosa Wrote:  BTW, as an attempt to improve the execution time. I did

u=x^3 -> x=u^(1/3)

du/dx=3*x^2 -> dx=du/(3*x^2)

-> Integ(e^x^3 dx, 0, 6) = 1/3*Integ(e^u/u^(2/3), 0, 216)

A better way might be integrate from the right, with x=u^3, dx=3 u^2 du
The transformation produce a nice bell-shaped curve.

e^x^3 is increasing function, and $$\displaystyle{e^{6^3}\over e^{5^3}} = e^{91} ≈ 3.3×10^{39}$$, we can do $$\int_5^6 e^{x^3}\,dx$$

Sharp EL-506W, n=100 (Simpson's Rule, 200 points), time ≈ 14 sec.

∫(e^u/u^(2/3)/3, u=125. .. 216) = 5.965307107 × 1091
∫(e^(6-u³)³×3u², u=0. .. 1) ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ ﻿= 5.963938092 × 1091
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 Messages In This Thread Crash when Solve for Integral with 15C - Gamo - 08-31-2017, 01:21 PM RE: Crash when Sove for Integral with 15C - rprosperi - 08-31-2017, 01:27 PM RE: Crash when Solve for Integral with 15C - SlideRule - 08-31-2017, 05:44 PM RE: Crash when Solve for Integral with 15C - Gerson W. Barbosa - 09-01-2017, 03:27 AM RE: Crash when Solve for Integral with 15C - Gilles59 - 08-31-2017, 06:34 PM RE: Crash when Solve for Integral with 15C - BobVA - 08-31-2017, 07:09 PM RE: Crash when Solve for Integral with 15C - SlideRule - 08-31-2017, 08:55 PM RE: Crash when Solve for Integral with 15C - rprosperi - 08-31-2017, 10:39 PM RE: Crash when Solve for Integral with 15C - Gamo - 09-01-2017, 01:35 AM RE: Crash when Solve for Integral with 15C - SlideRule - 09-01-2017, 01:40 AM RE: Crash when Solve for Integral with 15C - Dieter - 09-01-2017, 05:47 AM RE: Crash when Solve for Integral with 15C - SlideRule - 09-01-2017, 10:30 AM RE: Crash when Solve for Integral with 15C - Gerson W. Barbosa - 09-02-2017, 06:48 AM RE: Crash when Solve for Integral with 15C - emece67 - 09-01-2017, 11:51 AM RE: Crash when Solve for Integral with 15C - rprosperi - 09-01-2017, 01:24 PM RE: Crash when Solve for Integral with 15C - Gerson W. Barbosa - 09-01-2017, 02:14 PM RE: Crash when Solve for Integral with 15C - AndiGer - 09-02-2017, 05:19 PM RE: Crash when Solve for Integral with 15C - Dieter - 09-02-2017, 05:35 PM RE: Crash when Solve for Integral with 15C - Thomas Okken - 09-02-2017, 05:56 PM RE: Crash when Solve for Integral with 15C - AndiGer - 09-02-2017, 06:46 PM RE: Crash when Solve for Integral with 15C - Gerson W. Barbosa - 09-02-2017, 06:25 PM RE: Crash when Solve for Integral with 15C - Gerson W. Barbosa - 09-02-2017, 06:42 PM RE: Crash when Solve for Integral with 15C - AndiGer - 09-02-2017, 07:24 PM RE: Crash when Solve for Integral with 15C - rprosperi - 09-02-2017, 08:14 PM RE: Crash when Solve for Integral with 15C - Dieter - 09-02-2017, 08:34 PM RE: Crash when Solve for Integral with 15C - Gerson W. Barbosa - 09-02-2017, 08:55 PM RE: Crash when Solve for Integral with 15C - rprosperi - 09-02-2017, 09:06 PM RE: Crash when Solve for Integral with 15C - Gerson W. Barbosa - 09-02-2017, 09:56 PM RE: Crash when Solve for Integral with 15C - rprosperi - 09-02-2017, 11:29 PM RE: Crash when Solve for Integral with 15C - Gerson W. Barbosa - 09-03-2017, 12:57 AM RE: Crash when Solve for Integral with 15C - rprosperi - 09-03-2017, 02:36 AM RE: Crash when Solve for Integral with 15C - Albert Chan - 06-14-2021 09:20 PM RE: Crash when Solve for Integral with 15C - emece67 - 09-01-2017, 05:36 PM RE: Crash when Solve for Integral with 15C - rprosperi - 09-02-2017, 02:41 AM RE: Crash when Solve for Integral with 15C - Dieter - 09-02-2017, 05:53 AM RE: Crash when Solve for Integral with 15C - rprosperi - 09-02-2017, 01:40 PM RE: Crash when Solve for Integral with 15C - Dieter - 09-02-2017, 05:53 PM RE: Crash when Solve for Integral with 15C - grsbanks - 09-02-2017, 01:24 PM RE: Crash when Solve for Integral with 15C - rprosperi - 09-02-2017, 01:45 PM RE: Crash when Solve for Integral with 15C - Thomas Okken - 09-02-2017, 03:11 PM RE: Crash when Solve for Integral with 15C - rprosperi - 09-02-2017, 07:57 PM RE: Crash when Solve for Integral with 15C - Thomas Okken - 09-02-2017, 08:09 PM RE: Crash when Solve for Integral with 15C - rprosperi - 09-02-2017, 08:24 PM RE: Crash when Solve for Integral with 15C - Thomas Okken - 09-02-2017, 08:29 PM RE: Crash when Solve for Integral with 15C - rprosperi - 09-02-2017, 08:48 PM RE: Crash when Solve for Integral with 15C - Thomas Okken - 09-02-2017, 08:19 PM RE: Crash when Solve for Integral with 15C - grsbanks - 09-02-2017, 10:11 PM RE: Crash when Solve for Integral with 15C - emece67 - 09-04-2017, 07:03 AM RE: Crash when Solve for Integral with 15C - Vincent Weber - 09-02-2017, 08:37 AM RE: Crash when Solve for Integral with 15C - Vincent Weber - 09-02-2017, 09:33 AM RE: Crash when Solve for Integral with 15C - hibiki - 09-02-2017, 11:31 AM RE: Crash when Solve for Integral with 15C - AndiGer - 09-02-2017, 04:52 PM RE: Crash when Solve for Integral with 15C - Joe Horn - 09-02-2017, 02:50 PM RE: Crash when Solve for Integral with 15C - klesl - 09-02-2017, 06:45 PM RE: Crash when Solve for Integral with 15C - Gilles59 - 09-03-2017, 06:36 AM RE: Crash when Solve for Integral with 15C - brickviking - 09-03-2017, 08:01 AM RE: Crash when Solve for Integral with 15C - grsbanks - 09-03-2017, 11:46 AM RE: Crash when Solve for Integral with 15C - Gerson W. Barbosa - 09-03-2017, 06:47 PM RE: Crash when Solve for Integral with 15C - Gerson W. Barbosa - 09-04-2017, 02:37 AM RE: Crash when Solve for Integral with 15C - Matt Agajanian - 09-03-2017, 07:38 PM RE: Crash when Solve for Integral with 15C - Thomas Okken - 09-03-2017, 08:00 PM RE: Crash when Solve for Integral with 15C - Matt Agajanian - 09-03-2017, 08:07 PM RE: Crash when Solve for Integral with 15C - rprosperi - 09-04-2017, 12:42 AM RE: Crash when Solve for Integral with 15C - Pekis - 09-04-2017, 09:30 AM RE: Crash when Solve for Integral with 15C - Gerson W. Barbosa - 09-04-2017, 10:19 AM RE: Crash when Solve for Integral with 15C - Gamo - 09-06-2017, 11:15 AM RE: Crash when Solve for Integral with 15C - Joe Horn - 09-06-2017, 12:10 PM RE: Crash when Solve for Integral with 15C - Dieter - 09-06-2017, 12:45 PM RE: Crash when Solve for Integral with 15C - emece67 - 09-06-2017, 02:02 PM RE: Crash when Solve for Integral with 15C - Dieter - 09-06-2017, 08:57 PM RE: Crash when Solve for Integral with 15C - emece67 - 09-07-2017, 09:24 AM RE: Crash when Solve for Integral with 15C - Dieter - 09-06-2017, 12:27 PM RE: Crash when Solve for Integral with 15C - Didier Lachieze - 09-06-2017, 12:27 PM RE: Crash when Solve for Integral with 15C - Gerson W. Barbosa - 09-06-2017, 12:29 PM RE: Crash when Solve for Integral with 15C - Didier Lachieze - 09-06-2017, 01:02 PM RE: Crash when Solve for Integral with 15C - Dieter - 09-06-2017, 01:06 PM RE: Crash when Solve for Integral with 15C - Gamo - 09-06-2017, 01:56 PM RE: Crash when Solve for Integral with 15C - SlideRule - 09-08-2017, 02:57 PM RE: Crash when Solve for Integral with 15C - johanw - 06-12-2021, 10:48 PM

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