{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 30 "Integrace s pomoci substit uce:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "with(student): " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "f:=x->2*x*exp(x^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%\"fGf*6#%\"xG6\"6$%)operatorG%&arrowGF(,$*(\"\"#\"\"\"9$F/-%$expG6 #*$)F0F.F/F/F/F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "a:= 0: b:=1:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "zadani:=Int(f(x ), x=a..b);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'zadaniG-%$IntG6$,$*( \"\"#\"\"\"%\"xGF+-%$expG6#*$)F,F*F+F+F+/F,;\"\"!F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "substituce:=changevar(x^2=u, zadani); " } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%+substituceG-%$IntG6$-%$expG6#%\"uG /F+;\"\"!\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "vysledek :=eval(substituce);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%)vysledekG-%$ IntG6$-%$expG6#%\"uG/F+;\"\"!\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "vysledek:=evalf(substituce);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%)vysledekG$\"+G=G= " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "int(exp(x),x=a..b);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#,&\"\"\"!\"\"-%$expG6#F$F$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "Credit:= \"I&C, p. 117\" ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'CreditGQ,I&C,~p.~1176\"" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}} {MARK "13 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }