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{SECT 0 {EXCHG {PARA 265 "" 0 "" {TEXT 278 35 "Matematick\351 v\375po
\350ty se syst\351m Maple" }}}{EXCHG {PARA 266 "" 0 "" {TEXT -1 77 "au
tor:  Ing. Vladim\355r \216\341k\n  email:  zakyn@centrum.cz\n        \+
         web:   " }{URLLINK 17 "www.vladimirzak.com/maple" 4 "www.vlad
imirzak.com/maple" "" }}{PARA 265 "" 0 "" {TEXT -1 0 "" }}{PARA 265 "
" 0 "" {TEXT -1 12 "            " }{TEXT 276 9 "recenzent" }{TEXT -1 
3 ":  " }{TEXT 275 31 "Prof. RNDr. Ji\370\355 H\370eb\355\350ek, CSc.
" }}{PARA 265 "" 0 "" {TEXT -1 48 "CENTRUM BIOSTATISTIKY A ANAL\335Z (
CBA LF a P\370F MU)" }}{PARA 265 "" 0 "" {TEXT -1 43 "L\351ka\370sk
\341 a P\370\355rodov\354deck\341 fakulta MU v Brn\354" }}{PARA 265 "
" 0 "" {TEXT -1 20 "hrebicek@cba.muni.cz" }}{PARA 265 "" 0 "" {TEXT 
-1 0 "" }}}{EXCHG {PARA 265 "" 0 "" {TEXT -1 478 "Tento dokument je ur
\350en jen pro v\375ukov\351 \372\350ely a pro pou\236it\355 jen osoba
mi, kter\375m byl tento dokument poskytnut p\370\355mo autorem, pop
\370. si ho st\341hli z webov\351ho s\355dla autora. Jak\351koliv \350
\341sti dokumentu nen\355 mo\236n\351 pou\236\355t bez citace zdoje, t
edy n\341zvu dokumentu a jm\351na autora s kontaktn\355mi informacemi \+
(jak je zobrazeno v hlavi\350ce), kter\341 mus\355 b\375t autorovi sd
\354lena. Pro jin\351 pou\236it\355 ne\236 pro osobn\355 pot\370eby os
ob, tedy pro distribuci \350i kop\355rov\341n\355, je nutn\351 obdr
\236et p\355semn\375 souhlas autora. " }}{PARA 265 "" 0 "" {TEXT -1 0 
"" }}{PARA 265 "" 0 "" {TEXT -1 0 "" }{TEXT 277 59 "Soubor vznikl s po
dporou grantov\351ho projektu FRV\212 3323/2006" }{TEXT -1 0 "" }}}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 4 "" 0 "" {TEXT -1 17 "Primitivn
\355 funkce" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 110 "Syst\351m Maple m
\341 p\370\355kaz, pomoc\355 kter\351ho se vypo\350\355t\341 primitivn
\355 funkce s nulovou integra\350n\355 konstantou k funkci " }{TEXT 
256 1 "f" }{TEXT -1 15 ". Jde o p\370\355kaz " }{TEXT 260 4 "int." }
{TEXT -1 14 " D\341le p\370\355kaz  " }{TEXT 261 4 "Int." }}{PARA 0 "
" 0 "" {TEXT 258 11 "int(f(x),x)" }}{PARA 0 "" 0 "" {TEXT 259 11 "Int(
f(x),x)" }}{PARA 0 "" 0 "" {TEXT -1 133 "Prvn\355 p\370\355kaz se pou
\236\355v\341 pro v\375po\350et primitivn\355 funkce, druh\375 pouze p
ro jej\355 matematick\375 z\341pis a hodnotu pak vypo\350teme pomoc
\355 p\370\355kazu " }{TEXT 257 5 "value" }{TEXT -1 77 ". Prvn\355m pa
rametrem obou p\370\355kaz\371 m\371\236e b\375t i v\375raz pro v\375p
o\350et hodnoty funkce " }{TEXT 262 4 "f(x)" }{TEXT -1 127 ". Druh\375
 parametr je prom\354nn\341, podle n\355\236 se integruje. V\375sledke
m p\370\355kazu je funkce, ke kter\351 nen\355 p\370ipo\350tena aditiv
n\355 konstanta." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "f:=x->s
in(x)+cos(x)-2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGf*6#%\"xG6\"6
$%)operatorG%&arrowGF(,(-%$sinG6#9$\"\"\"-%$cosGF/F1\"\"#!\"\"F(F(F(" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "Int(f(x),x);             \+
      # matematick\375 z\341pis" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$
IntG6$,(-%$sinG6#%\"xG\"\"\"-%$cosGF)F+\"\"#!\"\"F*" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 50 "value(%);                      # vypo\350
ten\341 hodnota" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(-%$cosG6#%\"xG!\"
\"-%$sinGF&\"\"\"*&\"\"#F+F'F+F(" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 51 "diff(%,x)-f(x);                # proveden\355 zkou
\232ky " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"!" }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 84 "N\341sleduj\355c\355 p\370\355klad ukazuje v\375po
\350et aditivn\355 konstanty. Nalezn\354me primitivn\355 funkci " }
{TEXT 265 1 "F" }{TEXT -1 10 " k funkci " }{TEXT 264 4 "f(x)" }{TEXT 
-1 13 " takovou, \236e " }{TEXT 263 6 "F(0)=0" }{TEXT -1 1 "." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "f:=x->1/2+sin(x);           \+
   # zad\341n\355 funkce f(x)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"f
Gf*6#%\"xG6\"6$%)operatorG%&arrowGF(,&#\"\"\"\"\"#F.-%$sinG6#9$F.F(F(F
(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "Int(f(x),x);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#-%$IntG6$,&#\"\"\"\"\"#F(-%$sinG6#%\"xGF(F-
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 109 "g:=unapply(int(f(x),x)
,x);     \n              # primitivn\355 funkce k f(x) - zaps\341na ja
ko funkce pomoc\355 unapply" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gGf
*6#%\"xG6\"6$%)operatorG%&arrowGF(,&*&#\"\"\"\"\"#F/9$F/F/-%$cosG6#F1!
\"\"F(F(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 7 "Funkce " }{TEXT 267 
4 "g(x)" }{TEXT -1 37 " v\232ak nespl\362uje po\236adovanou podm\355nk
u " }{TEXT 266 6 "g(0)=0" }{TEXT -1 55 ". Spln\354n\355 t\351to podm
\355nky doc\355l\355me n\341sleduj\355c\355m postupem." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "g(x)-g(0);       " }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#,(*&\"\"#!\"\"%\"xG\"\"\"F(-%$cosG6#F'F&F(F(" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 "F:=unapply(%,x);            \+
   # v\375sledn\341 primitivn\355 funkce " }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"FGf*6#%\"xG6\"6$%)operatorG%&arrowGF(,(*&#\"\"\"\"
\"#F/9$F/F/-%$cosG6#F1!\"\"F/F/F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 40 "Int(x^3*cos(x^2),x)=int(x^3*cos(x^2),x);" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#/-%$IntG6$*&)%\"xG\"\"$\"\"\"-%$cosG6#*$)F)\"\"
#F+F+F),&*&#F+F1F+F,F+F+*&F4F+*&F0F+-%$sinGF.F+F+F+" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 40 "diff(rhs(%),x);                # zkou\232
ka" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&)%\"xG\"\"$\"\"\"-%$cosG6#*$)F
%\"\"#F'F'" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 42 "P\370edchoz\355 p
\370\355klad ukazuje pou\236it\355 p\370\355kazu " }{TEXT 268 3 "rhs" 
}{TEXT -1 8 ", pop\370. " }{TEXT 269 3 "lhs" }{TEXT -1 69 ", pomoc\355
 kter\375ch se odkazujeme na pravou, pop\370. levou stranu rovnice." }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "int(1/(x+exp(x)),x);      \+
     # v\375po\350et primitivn\355 funkce" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#-%$intG6$*&\"\"\"F',&%\"xGF'-%$expG6#F)F'!\"\"F)" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 198 "Maple neum\355 nal\351zt tuto pri
mitivn\355 funkci pomoc\355 element\341rn\355ch funkc\355. Proto ji oz
na\350il jako funkci definovanou pomoc\355 integr\341lu. Poznamenejme,
 \236e my tuto primitivn\355 funkci rovn\354\236 nedok\341\236eme nal
\351zt." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "3 0" 0 }{VIEWOPTS 1 1 
0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }