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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 256 "" 0 "" 
{TEXT 257 6 "MB001c" }}{PARA 256 "" 0 "" {TEXT 256 40 "Matematick\341 \+
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\341ln\355 po\350et funkce jedn\351 prom\354n\351" }}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 0 "" }{TEXT 260 8 "P\370\355klad." }{TEXT -1 41 " V
\375po\350et primitivn\355 funkce zadan\351 v Maple" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 22 "f:=x->sin(x)+cos(x)-2;" }}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 44 "Pro v\375po\350et primitivn\355 funkce slou\236
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\370\355kazem " }{HYPERLNK 17 "int" 2 "int" "" }{TEXT -1 88 " lze inte
grovat pouze v\375razy. Pro integraci funkc\355 jsme nuceni vyu\236
\355t kombinaci p\370\355kaz\371 " }{HYPERLNK 17 "int" 2 "int" "" }
{TEXT -1 3 " a " }{HYPERLNK 17 "unapply" 2 "unapply" "" }}{PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 19 "prim:=int(f(x), x);" }}}{EXCHG {PARA 0 "" 0 "
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apply" "" }{TEXT -1 42 " p\370evedeme itegrovan\375 v\375raz op\354t n
a funkci" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "f:=unapply(prim, x);" }
}}{EXCHG {PARA 0 "" 0 "" {TEXT 262 8 "Pozn\341mka" }{TEXT -1 89 " V
\232imn\354me si, \236e Maple p\370i integrov\341n\355 po\350\355t\341
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{TEXT 261 8 "P\370\355klad." }{TEXT -1 26 " V\375po\350t\354 primitivn
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}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 198 "Maple neum\355 nal\351zt tuto p
rimitivn\355 funkci pomoc\355 element\341rn\355ch funkc\355. Proto ji \+
ozna\350il jako funkci definovanou pomoc\355 integr\341lu. Poznamenejm
e, \236e my tuto primitivn\355 funkci rovn\354\236 nedok\341\236eme na
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{PARA 4 "" 0 "" {TEXT 264 21 " Integrace per partes" }}{EXCHG {PARA 0 
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}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "Int(x*cos(x),x) = x;" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 21 "V\375po\350et je ji\236 snadn\375
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(x));" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 57 "Integr\341l na prav\351 \+
stran\354 op\354t po\350\355t\341me metodou per partes" }}{PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 28 "i2=intparts(rhs(%), cos(x));" }}}{EXCHG {PARA 
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152 "Vid\355me, \236e na obou stran\341ch rovnice vystupuje hledan\375
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lve vzhledem k nezn\341m\351, kterou je tento integr\341l. " }}}
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0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 0 "" }}}}{EXCHG {PARA 261 "" 0 "" {TEXT -1 14 "Pou\236it\351 zdroje
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