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{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 17 "Neurcity integral" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 145 "Maple pouziva k integraci special
ni algoritmy (a to tehdy, pokud zakladni metody(per partes, rozklad na
 parc. zlomky, ...)) selhavaji.\nProcedura " }{TEXT 256 3 "Int" }
{TEXT -1 42 " integral nevyhodnocuje, pouze prepisuje.\n" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "Int(x/(x^3+1), x):%=value(%);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%$IntG6$*&%\"xG\"\"\",&*$)F(\"\"$F)
\"\"\"F.F.!\"\"F(,(-%#lnG6#,&F.F.F(F.#!\"\"F--F26#,(*$)F(\"\"#F)F.F(F6
F.F.#F.\"\"'*&-%%sqrtG6#F-F)-%'arctanG6#,$*&,&F(F<F6F.F.F@F)#F.F-F.FI
" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 30 "Vyhodnoceni dosahneme prikaze
m" }{TEXT 257 6 " value" }{TEXT -1 1 "." }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 40 "Kontrola spravnosti vypoctu derivovanim:" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "diff(rhs(%), x);" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#,(*&\"\"\"F%,&\"\"\"F'%\"xGF'!\"\"#!\"\"\"\"$*&,&F(\"
\"#F+F'F%,(*$)F(F/F%F'F(F+F'F'F)#F'\"\"'*&F%F%,&F'F'*$)F.F/F%#F'F,F)#F
/F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "normal(%,'expanded')
;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&%\"xG\"\"\",&*$)F$\"\"$F%\"\"\"
F*F*!\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 51 "Vice informaci o pru
behu vypoctu ziskame nastavenim" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 18 "infolevel[int]:=2:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
29 "Int(x/(x^5+1),x): %=value(%);" }}{PARA 6 "" 1 "" {TEXT -1 48 "int/
indef1:   first-stage indefinite integration" }}{PARA 6 "" 1 "" {TEXT 
-1 44 "int/ratpoly:   rational function integration" }}{PARA 6 "" 1 "
" {TEXT -1 44 "int/ratpoly:   rational function integration" }}{PARA 
12 "" 1 "" {XPPMATH 20 "6#/-%$IntG6$*&%\"xG\"\"\",&*$)F(\"\"&F)\"\"\"F
.F.!\"\"F(,0-%#lnG6#,&F.F.F(F.#!\"\"F--F26#,**$)F(\"\"#F)!\"#F(F.*&-%%
sqrtG6#F-F)F(F.F.F=F.#F.\"#?*&F7F.F?F)#F6FC*&*&-%'arctanG6#*&,(F(!\"%F
.F.*$F?F)F.F)*$-F@6#,&\"#5F.FNF=F)F/F.F?F)F)*$-F@6#FRF)F/#F=F--F26#,*F
:F<F(F6F>F.F<F.FB*&FXF.F?F)FB*&*&-FI6#*&,(F(\"\"%F6F.FNF.F)*$-F@6#,&FS
F.FNF<F)F/F.F?F)F)*$-F@6#F`oF)F/FW" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 18 "infolevel[int]:=0:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
258 6 "Pozn. " }{TEXT -1 66 "Maple pri vypoctech automaticky voli nulo
vou integracni konstantu." }}}{EXCHG {PARA 0 "" 0 "" {TEXT 259 10 "Pri
klad 1." }{TEXT 260 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "
Int(2*x*(x^2+1)^24, x);" }{TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#-%$IntG6$,$*&%\"xG\"\"\"),&*$)F(\"\"#\"\"\"F)F)F)\"#CF/F.F(" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 89 "Tento integral jste jiste schopni \+
vyresit bez pomoci Maplu, primym vypoctem ale dostavame" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "value(%);" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#,T*$)%\"xG\"\"#\"\"\"\"\"\"*$)F&\"\"%F(\"#7*$)F&\"\"'F(
\"##**$)F&\"#EF(\"'7!3#*$)F&\"#]F(#F)\"#D*$)F&\"#[F(F)*$)F&\"#YF(F-*$)
F&\"#WF(F1*$)F&\"#UF(\"$1&*$)F&\"#SF(#\"&E1\"\"\"&*$)F&\"#QF(\"%%3(*$)
F&\"#OF(\"&G#>*$)F&\"#MF(\"&jK%*$)F&\"#KF(\"&><)*$)F&\"#IF(#\"'_PlFM*$
)F&\"#GF(\"''Hy\"*$)F&\"#CF(F5*$)F&\"#AF(F`o*$)F&\"#?F(F[o*$)F&\"#=F(F
gn*$)F&\"#;F(FY*$)F&\"#9F(FU*$)F&F-F(FQ*$)F&\"#5F(FK*$)F&\"\")F(FG" }}
}{EXCHG {PARA 0 "" 0 "" {TEXT -1 32 "a ani upravy vysledku nepomahaji
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "v1:=factor(%);" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#v1G,$*()%\"xG\"\"#\"\"\",,*$)F(\"\"
)F*\"\"\"*$)F(\"\"'F*\"\"&*$)F(\"\"%F*\"#5*$F'F*F7F3F/F/,L*$)F(\"#SF*F
/*$)F(\"#QF*\"#?*$)F(\"#OF*\"$!>*$)F(\"#MF*\"%S6*$)F(\"#KF*\"%X[*$)F(
\"#IF*\"&0b\"*$)F(\"#GF*\"&v(Q*$)F(\"#EF*\"&Dw(*$)F(\"#CF*\"'Dk7*$)F(
\"#AF*\"'D$p\"*$)F(F@F*\"'gx=*$)F(\"#=F*\"'vH<*$)F(\"#;F*\"']C8*$)F(\"
#9F*\"&vS)*$)F(\"#7F*\"&vR%*$)F(F7F*\"&g(=F,\"%DkF0\"%D<F4\"$]$F8\"#]F
3F/F/#F/\"#D" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 50 "Problem je zde pr
ave ve volbe integracni konstanty" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 19 "v2:=factor(%+1/25);" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6#>%#v2G,$*$),&*$)%\"xG\"\"#\"\"\"\"\"\"F.F.\"#DF-#F.F/" }}}{EXCHG 
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261 9 "Cviceni. " }{TEXT -1 51 "Vytvorte pomoci Maplu tabulku neurcity
ch integralu." }}}}{MARK "22" 0 }{VIEWOPTS 1 1 0 1 1 1803 }