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}}}}{SECT 1 {PARA 0 "" 0 "" {TEXT 325 2 "6." }{TEXT -1 82 " Plot the function\n \+ " }{XPPEDIT 18 0 "t->int(exp(-theta^4),theta=-infi nity..t)" "6#f*6#%\"tG7\"6$%)operatorG%&arrowG6\"-%$intG6$-%$expG6#,$* $%&thetaG\"\"%!\"\"/F3;,$%)infinityGF5F%F*F*F*" }{TEXT -1 18 "\non the interval (" }{XPPEDIT 18 0 "-2,2" "6$,$\"\"#!\"\"F$" }{TEXT -1 3 "). \n" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{PARA 0 " " 0 "" {TEXT -1 67 "A 'closed formula' is known to the integral, but i s of little help." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "Integra te(exp(-theta^4), theta=-infinity..t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$IntG6$-%$expG6#,$*$)%&thetaG\"\"%\"\"\"!\"\"/F,;,$%)infinityG F/%\"tG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "value(%);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#-%&limitG6$,$*&#\"\"\"\"\"&F)*,,**.\" \"%F))%&thetaGF.F)-%$expG6#,$*&\"\"#!\"\"F0F.F7F)-%+WhittakerMG6%#F)\" 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What do you think of it?\n" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "plot(exp (x)+ln(abs(4-x)), x=0..5);" }}{PARA 13 "" 1 "" {GLPLOT2D 386 386 386 {PLOTDATA 2 "6&-%'CURVESG6#7U7$$\"\"!F)$\"3!3*)>6O%H'Q#!#<7$$\"3GLLL3x &)*3\"!#=$\"3_+DcLj\"QZ#F,7$$\"3umm\"H2P\"Q?F0$\"3S2%H*zm1gDF,7$$\"3ML L$eRwX5$F0$\"3w.F-V;bpEF,7$$\"33ML$3x%3yTF0$\"3#**e+Xc/Yz#F,7$$\"3emm \"z%4\\Y_F0$\"3j;TY:7cNHF,7$$\"3`LLeR-/PiF0$\"3=FJ=nbg#3$F,7$$\"3]*** \\il'pisF0$\"39Isv#R%G`KF,7$$\"3>MLe*)>VB$)F0$\"3U5Oj U6F,$\"3Ao3?Z'4\\=%F,7$$\"37++]i^Z]7F,$\"3&R6>?%*HM]%F,7$$\"33++](=h(e 8F,$\"3Y%o5:pF,$\" 3!)='*o6O]9zF,7$$\"3K+]i!f#=$3#F,$\"3g\"zVYl]1o)F,7$$\"3?+](=xpe=#F,$ \"3/)o8I*3*R\\*F,7$$\"37nm\"H28IH#F,$\"3.Y@UCm%R/\"!#;7$$\"3um;zpSS\"R #F,$\"3_^0#=(*=/9\"Ffr7$$\"3GLL3_?`(\\#F,$\"3W[vYKu&fD\"Ffr7$$\"3fL$e* )>pxg#F,$\"3g.[5Cb'**Q\"Ffr7$$\"33+]Pf4t.FF,$\"3n3!>h7%[>:Ffr7$$\"3uLL e*Gst!GF,$\"3)y)*z!\\)[Un\"Ffr7$$\"30+++DRW9HF,$\"3/#3X)p[1_=Ffr7$$\"3 :++DJE>>IF,$\"3e+!eJ^Pb/#Ffr7$$\"3F+]i!RU07$F,$\"3k*=TWi@ID#Ffr7$$\"3+ ++v=S2LKF,$\"3)o9n(o@@4DFfr7$$\"3Jmmm\"p)=MLF,$\"31q%\\mK')[w#Ffr7$$\" 3B++](=]@W$F,$\"3UB+]hA/nIFfr7$$\"35L$e*[$z*RNF,$\"31j%[BNs*oLFfr7$$\" 3e++]iC$pk$F,$\"3s#3Q'[GdJPFfr7$$\"3[m;H2qcZPF,$\"3aB!\\D[9T5%Ffr7$$\" 3O+]7.\"fF&QF,$\"3>`Wap:s?XFfr7$$\"3Ymm;/OgbRF,$\"3%\\`O0?h7\"\\Ffr7$$ \"3w**\\ilAFjSF,$\"3j!=&='4-/a&Ffr7$$\"3yLLL$)*pp;%F,$\"3!f3=i(=(HF'Ff r7$$\"3)RL$3xe,tUF,$\"3h*GkVjVR/(Ffr7$$\"3Cn;HdO=yVF,$\"33K#[Z%F,$\"3>nV#QB:Mq)Ffr7$$\"3SnmT&G!e&e%F,$\"3!RYV$[@\\_(*F fr7$$\"3#RLLL)Qk%o%F,$\"3cS)yi^G*y5!#:7$$\"37+]iSjE!z%F,$\"3dH$>#)G!)4 ?\"Fjy7$$\"3L+++DM\"3%[F,$\"3CB:@9)))RE\"Fjy7$$\"3a+]P40O\"*[F,$\"3k`P I8Fjy7$$\"3s+voa-oX\\F,$\"3He`]&)e509Fjy7$$\"\"&F)$\"3+md-\"fJT[\" Fjy-%'COLOURG6&%$RGBGF)F)F)-%+AXESLABELSG6$Q\"x6\"Q!F\\\\l-%%VIEWG6$;F (F`[l%(DEFAULTG" 1 2 0 1 10 0 2 6 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{PARA 0 "" 0 "" {TEXT -1 51 "Not so nice in the neig hborhood of the singularity " }{XPPEDIT 18 0 "x=5" "6#/%\"xG\"\"&" } {TEXT -1 32 ". 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