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last edited 11 months ago by test1

Edit detail for SandBoxFriCAS revision 16 of 62
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Editor: mariuszi28cg
Time: 2017/09/25 20:14:29 GMT+0
Note: integrate(exp(x-x^2), x) 
added:

From mariuszi28cg Mon Sep 25 20:14:29 +0000 2017
From: mariuszi28cg
Date: Mon, 25 Sep 2017 20:14:29 +0000
Subject: integrate(exp(x-x^2), x)
Message-ID: <20170925201429+0000@axiom-wiki.newsynthesis.org>

This page is set to execute \begin{axiom}... \end{axiom} commands using FriCAS?. See also FriCASIntegration?.

fricas
)version

Value = "FriCAS 1.2.7 compiled at Tue Sep 29 13:45:04 UTC 2015"

Any comments added here use this version of FriCAS?.

... --meliusja, Tue, 08 Apr 2008 10:38:33 -0700 reply
fricas
solve(s=v*t+a*t^2/2,t)
\label{eq1}\left[{{{2 \ t \ v}+{a \ {{t}^{2}}}-{2 \ s}}= 0}\right](1)
Type: List(Equation(Fraction(Polynomial(Integer))))

... --meliusja, Tue, 08 Apr 2008 10:39:28 -0700 reply
fricas
radicalSolve(s=v*t+a*t^2/2,t)
\label{eq2}\left[{t ={{-{\sqrt{{4 \ {{v}^{2}}}+{8 \ a \ s}}}-{2 \ v}}\over{2 \ a}}}, \:{t ={{{\sqrt{{4 \ {{v}^{2}}}+{8 \ a \ s}}}-{2 \ v}}\over{2 \ a}}}\right](2)
Type: List(Equation(Expression(Integer)))

... --meliusja, Tue, 08 Apr 2008 10:40:28 -0700 reply
fricas
solve(v*t+a*t^2/2-s=0,t)
\label{eq3}\left[{{{2 \ t \ v}+{a \ {{t}^{2}}}-{2 \ s}}= 0}\right](3)
Type: List(Equation(Fraction(Polynomial(Integer))))

... --meliusja, Tue, 08 Apr 2008 10:41:13 -0700 reply
fricas
solve(v*t+a*t/2-s=0,t)
\label{eq4}\left[{t ={{2 \ s}\over{{2 \ v}+ a}}}\right](4)
Type: List(Equation(Fraction(Polynomial(Integer))))

... --meliusja, Tue, 08 Apr 2008 10:42:37 -0700 reply
fricas
solve(v*t+a*t^2/2-s=0,t)
\label{eq5}\left[{{{2 \ t \ v}+{a \ {{t}^{2}}}-{2 \ s}}= 0}\right](5)
Type: List(Equation(Fraction(Polynomial(Integer))))

fricas
radicalSolve(p^3 - p + 1/10=0,p)
\label{eq6}\begin{array}{@{}l} \displaystyle \left[{p ={{{{\left(-{3 \ {\sqrt{- 3}}}+ 3 \right)}\ {{\root{3}\of{{-{3 \ {\sqrt{3}}}+{\sqrt{-{373}}}}\over{{60}\ {\sqrt{3}}}}}^{2}}}- 2}\over{{\left({3 \ {\sqrt{- 3}}}+ 3 \right)}\ {\root{3}\of{{-{3 \ {\sqrt{3}}}+{\sqrt{-{373}}}}\over{{60}\ {\sqrt{3}}}}}}}}, \: \right. \ \ \displaystyle \left.{p ={{{{\left(-{3 \ {\sqrt{- 3}}}- 3 \right)}\ {{\root{3}\of{{-{3 \ {\sqrt{3}}}+{\sqrt{-{373}}}}\over{{60}\ {\sqrt{3}}}}}^{2}}}+ 2}\over{{\left({3 \ {\sqrt{- 3}}}- 3 \right)}\ {\root{3}\of{{-{3 \ {\sqrt{3}}}+{\sqrt{-{373}}}}\over{{60}\ {\sqrt{3}}}}}}}}, \: \right. \ \ \displaystyle \left.{p ={{{3 \ {{\root{3}\of{{-{3 \ {\sqrt{3}}}+{\sqrt{-{37 3}}}}\over{{60}\ {\sqrt{3}}}}}^{2}}}+ 1}\over{3 \ {\root{3}\of{{-{3 \ {\sqrt{3}}}+{\sqrt{-{373}}}}\over{{60}\ {\sqrt{3}}}}}}}}\right] (6)
Type: List(Equation(Expression(Integer)))

fricas
R1 ==> Record(foo1: String, remLexs: List Integer)
Type: Void
fricas
R2 ==> Record(foo2: String, remLexs: List Integer)
Type: Void
fricas
r1: R1 := ["a", [1,2,3]]
\label{eq7}\left[{foo 1 = \verb#"a"#}, \:{remLexs ={\left[ 1, \: 2, \: 3 \right]}}\right](7)
Type: Record(foo1: String,remLexs: List(Integer))
fricas
r2: R2 := ["b", [5]]
\label{eq8}\left[{foo 2 = \verb#"b"#}, \:{remLexs ={\left[ 5 \right]}}\right](8)
Type: Record(foo2: String,remLexs: List(Integer))
fricas
r1.remLexs
\label{eq9}\left[ 1, \: 2, \: 3 \right](9)
Type: List(Integer)
fricas
r2.remLexs
\label{eq10}\left[ 5 \right](10)
Type: List(Integer)

... --jib jabber, Fri, 07 Mar 2014 07:04:39 +0000 reply
fricas
)set output tex off
fricas
)set output algebra on

guessPRec [1, 0, 1, 1, 4, 10, 35, 120, 455, 1792, 7413, 31780, 140833, 641928, 3000361, 14338702, 69902535, 346939792, 1750071307, 8958993507, 46484716684, 244187539270, 1297395375129, 6965930587924]

   (13)
   [
     [
       f(n):
               2                          2
           (- n  - 17n - 72)f(n + 3) + (4n  + 30n + 44)f(n + 2)
         + 
               2                             2
           (19n  + 113n + 150)f(n + 1) + (14n  + 42n + 28)f(n)
           =
           0
       ,
      f(0)= 1, f(1)= 0, f(2)= 1]
     ]
Type: List(Expression(Integer))

... --panacea, Fri, 21 Nov 2014 18:25:05 +0000 reply
fricas
guessRec([1,1,0,1,- 1,2,- 1,5,- 4,29,- 13,854,- 685])

                                           2
   (14)  [[f(n): f(n + 2) + f(n + 1) - f(n) = 0,f(0)= 1,f(1)= 1]]
Type: List(Expression(Integer))

integrate(exp(x-x^2), x) --mariuszi28cg, Mon, 25 Sep 2017 20:14:29 +0000 reply