1,-2,0,0,0.000000," ","integrate(x**100*Ei(1,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
2,-2,0,0,0.000000," ","integrate(x**2*Ei(1,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
3,-2,0,0,0.000000," ","integrate(x*Ei(1,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
4,-2,0,0,0.000000," ","integrate(Ei(1,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
5,-2,0,0,0.000000," ","integrate(Ei(1,a*x)/x,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
6,-2,0,0,0.000000," ","integrate(Ei(1,a*x)/x**2,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
7,-2,0,0,0.000000," ","integrate(Ei(1,a*x)/x**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
8,-2,0,0,0.000000," ","integrate(Ei(1,a*x)/x**4,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
9,1,37,0,0.152743," ","integrate(x**3*exp(-a*x),x)","\begin{cases} \frac{\left(- a^{3} x^{3} - 3 a^{2} x^{2} - 6 a x - 6\right) e^{- a x}}{a^{4}} & \text{for}\: a^{4} \neq 0 \\\frac{x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**3*x**3 - 3*a**2*x**2 - 6*a*x - 6)*exp(-a*x)/a**4, Ne(a**4, 0)), (x**4/4, True))","A"
10,1,29,0,0.151671," ","integrate(x**2*exp(-a*x),x)","\begin{cases} \frac{\left(- a^{2} x^{2} - 2 a x - 2\right) e^{- a x}}{a^{3}} & \text{for}\: a^{3} \neq 0 \\\frac{x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**2*x**2 - 2*a*x - 2)*exp(-a*x)/a**3, Ne(a**3, 0)), (x**3/3, True))","A"
11,1,20,0,0.136523," ","integrate(x*exp(-a*x),x)","\begin{cases} \frac{\left(- a x - 1\right) e^{- a x}}{a^{2}} & \text{for}\: a^{2} \neq 0 \\\frac{x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a*x - 1)*exp(-a*x)/a**2, Ne(a**2, 0)), (x**2/2, True))","A"
12,1,10,0,0.122599," ","integrate(exp(-a*x),x)","\begin{cases} - \frac{e^{- a x}}{a} & \text{for}\: a \neq 0 \\x & \text{otherwise} \end{cases}"," ",0,"Piecewise((-exp(-a*x)/a, Ne(a, 0)), (x, True))","A"
13,1,8,0,1.266018," ","integrate(exp(-a*x)/x,x)","\operatorname{Ei}{\left(a x e^{i \pi} \right)}"," ",0,"Ei(a*x*exp_polar(I*pi))","A"
14,1,20,0,1.879942," ","integrate(exp(-a*x)/x**2,x)","- a \operatorname{Ei}{\left(a x e^{i \pi} \right)} - \frac{e^{- a x}}{x}"," ",0,"-a*Ei(a*x*exp_polar(I*pi)) - exp(-a*x)/x","A"
15,1,36,0,2.545842," ","integrate(exp(-a*x)/x**3,x)","\frac{a^{2} \operatorname{Ei}{\left(a x e^{i \pi} \right)}}{2} + \frac{a e^{- a x}}{2 x} - \frac{e^{- a x}}{2 x^{2}}"," ",0,"a**2*Ei(a*x*exp_polar(I*pi))/2 + a*exp(-a*x)/(2*x) - exp(-a*x)/(2*x**2)","A"
16,1,49,0,3.312679," ","integrate(exp(-a*x)/x**4,x)","- \frac{a^{3} \operatorname{Ei}{\left(a x e^{i \pi} \right)}}{6} - \frac{a^{2} e^{- a x}}{6 x} + \frac{a e^{- a x}}{6 x^{2}} - \frac{e^{- a x}}{3 x^{3}}"," ",0,"-a**3*Ei(a*x*exp_polar(I*pi))/6 - a**2*exp(-a*x)/(6*x) + a*exp(-a*x)/(6*x**2) - exp(-a*x)/(3*x**3)","A"
17,1,877,0,1.645472," ","integrate(x**100*exp(-a*x)*(a*x+1),x)","\begin{cases} \frac{\left(- a^{101} x^{101} - 102 a^{100} x^{100} - 10200 a^{99} x^{99} - 1009800 a^{98} x^{98} - 98960400 a^{97} x^{97} - 9599158800 a^{96} x^{96} - 921519244800 a^{95} x^{95} - 87544328256000 a^{94} x^{94} - 8229166856064000 a^{93} x^{93} - 765312517613952000 a^{92} x^{92} - 70408751620483584000 a^{91} x^{91} - 6407196397464006144000 a^{90} x^{90} - 576647675771760552960000 a^{89} x^{89} - 51321643143686689213440000 a^{88} x^{88} - 4516304596644428650782720000 a^{87} x^{87} - 392918499908065292618096640000 a^{86} x^{86} - 33790990992093615165156311040000 a^{85} x^{85} - 2872234234327957289038286438400000 a^{84} x^{84} - 241267675683548412279216060825600000 a^{83} x^{83} - 20025217081734518219174933048524800000 a^{82} x^{82} - 1642067800702230493972344509979033600000 a^{81} x^{81} - 133007491856880670011759905308301721600000 a^{80} x^{80} - 10640599348550453600940792424664137728000000 a^{79} x^{79} - 840607348535485834474322601548466880512000000 a^{78} x^{78} - 65567373185767895088997162920780416679936000000 a^{77} x^{77} - 5048687735304127921852781544900092084355072000000 a^{76} x^{76} - 383700267883113722060811397412406998410985472000000 a^{75} x^{75} - 28777520091233529154560854805930524880823910400000000 a^{74} x^{74} - 2129536486751281157437503255638858841180969369600000000 a^{73} x^{73} - 155456163532843524492937737661636695406210763980800000000 a^{72} x^{72} - 11192843774364733763491517111637842069247175006617600000000 a^{71} x^{71} - 794691907979896097207897714926286786916549425469849600000000 a^{70} x^{70} - 55628433558592726804552840044840075084158459782889472000000000 a^{69} x^{69} - 3838361915542898149514145963093965180806933725019373568000000000 a^{68} x^{68} - 261008610256917074166961925490389632294871493301317402624000000000 a^{67} x^{67} - 17487576887213443969186449007856105363756390051188265975808000000000 a^{66} x^{66} - 1154180074556087301966305634518502954007921743378425554403328000000000 a^{65} x^{65} - 75021704846145674627809866243702692010514913319597661036216320000000000 a^{64} x^{64} - 4801389110153323176179831439596972288672954452454250306317844480000000000 a^{63} x^{63} - 302487513939659360099329380694609254186396130504617769298024202240000000000 a^{62} x^{62} - 18754225864258880326158421603065773759556560091286301696477500538880000000000 a^{61} x^{61} - 1144007777719791699895663717787012199332950165568464403485127532871680000000000 a^{60} x^{60} - 68640466663187501993739823067220731959977009934107864209107651972300800000000000 a^{59} x^{59} - 4049787533128062617630649560966023185638643586112363988337351466365747200000000000 a^{58} x^{58} - 234887676921427631822577674536029344767041327994517111323566385049213337600000000000 a^{57} x^{57} - 13388597584521375013886927448553672651721355695687475345443283947805160243200000000000 a^{56} x^{56} - 749761464733197000777667937119005668496395918958498619344823901077088973619200000000000 a^{55} x^{55} - 41236880560325835042771736541545311767301775542717424063965314559239893549056000000000000 a^{54} x^{54} - 2226791550257595092309673773243446835434295879306740899454126986198954251649024000000000000 a^{53} x^{53} - 118019952163652539892412709981902682278017681603257267671068730268544575337398272000000000000 a^{52} x^{52} - 6137037512509932074405460919058939478456919443369377918895573973964317917544710144000000000000 a^{51} x^{51} - 312988913138006535794678506872005913401302891611838273863674272672180213794780217344000000000000 a^{50} x^{50} - 15649445656900326789733925343600295670065144580591913693183713633609010689739010867200000000000000 a^{49} x^{49} - 766822837188116012696962341836414487833192084449003770966001968046841523797211532492800000000000000 a^{48} x^{48} - 36807496185029568609454192408147895415993220053552181006368094466248393142266153559654400000000000000 a^{47} x^{47} - 1729952320696389724644347043182951084551681342516952507299300439913674477686509217303756800000000000000 a^{46} x^{46} - 79577806752033927333639963986415749889377341755779815335767820236029025973579423995972812800000000000000 a^{45} x^{45} - 3581001303841526730013798379388708745021980379010091690109551910621306168811074079818776576000000000000000 a^{44} x^{44} - 157564057369027176120607128693103184780967136676444034364820284067337471427687259512026169344000000000000000 a^{43} x^{43} - 6775254466868168573186106533803436945581586877087093477687272214895511271390552159017125281792000000000000000 a^{42} x^{42} - 284560687608463080073816474419744351714426648837657926062865433025611473398403190678719261835264000000000000000 a^{41} x^{41} - 11666988191946986283026475451209518420291492602343974968577482754050070409334530817827489735245824000000000000000 a^{40} x^{40} - 466679527677879451321059018048380736811659704093758998743099310162002816373381232713099589409832960000000000000000 a^{39} x^{39} - 18200501579437298601521301703886848735654728459656600950980873096318109838561868075810883986983485440000000000000000 a^{38} x^{38} - 691619060018617346857809464747700251954879681466950836137273177660088173865350986880813591505372446720000000000000000 a^{37} x^{37} - 25589905220688841833738950195664909322330548214277180937079107573423262433017986514590102885698780528640000000000000000 a^{36} x^{36} - 921236587944798306014602207043936735603899735713978513734847872643237447588647514525243703885156099031040000000000000000 a^{35} x^{35} - 32243280578067940710511077246537785746136490749989247980719675542513310665602663008383529635980463466086400000000000000000 a^{34} x^{34} - 1096271539654309984157376626382284715368640685499634431344468968445452562630490542285040007623335757846937600000000000000000 a^{33} x^{33} - 36176960808592229477193428670615395607165142621487936234367475958699934566806187895406320251570080008948940800000000000000000 a^{32} x^{32} - 1157662745874951343270189717459692659429284563887613959499759230678397906137798012653002248050242560286366105600000000000000000 a^{31} x^{31} - 35887545122123491641375881241250472442307821480516032744492536151030335090271738392243069689557519368877349273600000000000000000 a^{30} x^{30} - 1076626353663704749241276437237514173269234644415480982334776084530910052708152151767292090686725581066320478208000000000000000000 a^{29} x^{29} - 31222164256247437727997016679887911024807804688048948487708506451396391528536412401251470629915041850923293868032000000000000000000 a^{28} x^{28} - 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1888744836365536423320103643519683224216870786302961386864381412165118095101081625419053437612691441507515315064360480821750176887603200000000000000000000000 a^{7} x^{7} - 13221213854558754963240725504637782569518095504120729708050669885155826665707571377933374063288840090552607205450523365752251238213222400000000000000000000000 a^{6} x^{6} - 79327283127352529779444353027826695417108573024724378248304019310934959994245428267600244379733040543315643232703140194513507429279334400000000000000000000000 a^{5} x^{5} - 396636415636762648897221765139133477085542865123621891241520096554674799971227141338001221898665202716578216163515700972567537146396672000000000000000000000000 a^{4} x^{4} - 1586545662547050595588887060556533908342171460494487564966080386218699199884908565352004887594660810866312864654062803890270148585586688000000000000000000000000 a^{3} x^{3} - 4759636987641151786766661181669601725026514381483462694898241158656097599654725696056014662783982432598938593962188411670810445756760064000000000000000000000000 a^{2} x^{2} - 9519273975282303573533322363339203450053028762966925389796482317312195199309451392112029325567964865197877187924376823341620891513520128000000000000000000000000 a x - 9519273975282303573533322363339203450053028762966925389796482317312195199309451392112029325567964865197877187924376823341620891513520128000000000000000000000000\right) e^{- a x}}{a^{101}} & \text{for}\: a^{101} \neq 0 \\\frac{a x^{102}}{102} + \frac{x^{101}}{101} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**101*x**101 - 102*a**100*x**100 - 10200*a**99*x**99 - 1009800*a**98*x**98 - 98960400*a**97*x**97 - 9599158800*a**96*x**96 - 921519244800*a**95*x**95 - 87544328256000*a**94*x**94 - 8229166856064000*a**93*x**93 - 765312517613952000*a**92*x**92 - 70408751620483584000*a**91*x**91 - 6407196397464006144000*a**90*x**90 - 576647675771760552960000*a**89*x**89 - 51321643143686689213440000*a**88*x**88 - 4516304596644428650782720000*a**87*x**87 - 392918499908065292618096640000*a**86*x**86 - 33790990992093615165156311040000*a**85*x**85 - 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4759636987641151786766661181669601725026514381483462694898241158656097599654725696056014662783982432598938593962188411670810445756760064000000000000000000000000*a**2*x**2 - 9519273975282303573533322363339203450053028762966925389796482317312195199309451392112029325567964865197877187924376823341620891513520128000000000000000000000000*a*x - 9519273975282303573533322363339203450053028762966925389796482317312195199309451392112029325567964865197877187924376823341620891513520128000000000000000000000000)*exp(-a*x)/a**101, Ne(a**101, 0)), (a*x**102/102 + x**101/101, True))","A"
18,1,44,0,0.167401," ","integrate(x**2*exp(-a*x)*(a*x+1),x)","\begin{cases} \frac{\left(- a^{3} x^{3} - 4 a^{2} x^{2} - 8 a x - 8\right) e^{- a x}}{a^{3}} & \text{for}\: a^{3} \neq 0 \\\frac{a x^{4}}{4} + \frac{x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**3*x**3 - 4*a**2*x**2 - 8*a*x - 8)*exp(-a*x)/a**3, Ne(a**3, 0)), (a*x**4/4 + x**3/3, True))","A"
19,1,36,0,0.153659," ","integrate(x*exp(-a*x)*(a*x+1),x)","\begin{cases} \frac{\left(- a^{2} x^{2} - 3 a x - 3\right) e^{- a x}}{a^{2}} & \text{for}\: a^{2} \neq 0 \\\frac{a x^{3}}{3} + \frac{x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**2*x**2 - 3*a*x - 3)*exp(-a*x)/a**2, Ne(a**2, 0)), (a*x**3/3 + x**2/2, True))","A"
20,1,20,0,0.142752," ","integrate(exp(-a*x)*(a*x+1),x)","\begin{cases} \frac{\left(- a x - 2\right) e^{- a x}}{a} & \text{for}\: a \neq 0 \\\frac{a x^{2}}{2} + x & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a*x - 2)*exp(-a*x)/a, Ne(a, 0)), (a*x**2/2 + x, True))","A"
21,1,19,0,2.798606," ","integrate(exp(-a*x)*(a*x+1)/x,x)","- a \left(\begin{cases} - x & \text{for}\: a = 0 \\\frac{e^{- a x}}{a} & \text{otherwise} \end{cases}\right) + \operatorname{Ei}{\left(- a x \right)}"," ",0,"-a*Piecewise((-x, Eq(a, 0)), (exp(-a*x)/a, True)) + Ei(-a*x)","A"
22,1,8,0,0.166220," ","integrate(exp(-a*x)*(a*x+1)/x**2,x)","- \frac{e^{- a x}}{x}"," ",0,"-exp(-a*x)/x","A"
23,1,17,0,1.299067," ","integrate(exp(-a*x)*(a*x+1)/x**3,x)","- \frac{a \operatorname{E}_{2}\left(a x\right)}{x} - \frac{\operatorname{E}_{3}\left(a x\right)}{x^{2}}"," ",0,"-a*expint(2, a*x)/x - expint(3, a*x)/x**2","A"
24,1,19,0,1.391600," ","integrate(exp(-a*x)*(a*x+1)/x**4,x)","- \frac{a \operatorname{E}_{3}\left(a x\right)}{x^{2}} - \frac{\operatorname{E}_{4}\left(a x\right)}{x^{3}}"," ",0,"-a*expint(3, a*x)/x**2 - expint(4, a*x)/x**3","A"
25,1,896,0,1.685061," ","integrate(2*x**100*exp(-a*x)*(1+a*x+1/2*a**2*x**2),x)","\begin{cases} \frac{\left(- a^{102} x^{102} - 104 a^{101} x^{101} - 10506 a^{100} x^{100} - 1050600 a^{99} x^{99} - 104009400 a^{98} x^{98} - 10192921200 a^{97} x^{97} - 988713356400 a^{96} x^{96} - 94916482214400 a^{95} x^{95} - 9017065810368000 a^{94} x^{94} - 847604186174592000 a^{93} x^{93} - 78827189314237056000 a^{92} x^{92} - 7252101416909809152000 a^{91} x^{91} - 659941228938792632832000 a^{90} x^{90} - 59394710604491336954880000 a^{89} x^{89} - 5286129243799728988984320000 a^{88} x^{88} - 465179373454376151030620160000 a^{87} x^{87} - 40470605490530725139663953920000 a^{86} x^{86} - 3480472072185642362011100037120000 a^{85} x^{85} - 295840126135779600770943503155200000 a^{84} x^{84} - 24850570595405486464759254265036800000 a^{83} x^{83} - 2062597359418655376575018103998054400000 a^{82} x^{82} - 169132983472329740879151484527840460800000 a^{81} x^{81} - 13699771661258709011211270246755077324800000 a^{80} x^{80} - 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26,1,63,0,0.197550," ","integrate(2*x**2*exp(-a*x)*(1+a*x+1/2*a**2*x**2),x)","\begin{cases} \frac{\left(- a^{4} x^{4} - 6 a^{3} x^{3} - 20 a^{2} x^{2} - 40 a x - 40\right) e^{- a x}}{a^{3}} & \text{for}\: a^{3} \neq 0 \\\frac{a^{2} x^{5}}{5} + \frac{a x^{4}}{2} + \frac{2 x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**4*x**4 - 6*a**3*x**3 - 20*a**2*x**2 - 40*a*x - 40)*exp(-a*x)/a**3, Ne(a**3, 0)), (a**2*x**5/5 + a*x**4/2 + 2*x**3/3, True))","A"
27,1,53,0,0.189200," ","integrate(2*x*exp(-a*x)*(1+a*x+1/2*a**2*x**2),x)","\begin{cases} \frac{\left(- a^{3} x^{3} - 5 a^{2} x^{2} - 12 a x - 12\right) e^{- a x}}{a^{2}} & \text{for}\: a^{2} \neq 0 \\\frac{a^{2} x^{4}}{4} + \frac{2 a x^{3}}{3} + x^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**3*x**3 - 5*a**2*x**2 - 12*a*x - 12)*exp(-a*x)/a**2, Ne(a**2, 0)), (a**2*x**4/4 + 2*a*x**3/3 + x**2, True))","A"
28,1,37,0,0.177049," ","integrate(2*exp(-a*x)*(1+a*x+1/2*a**2*x**2),x)","\begin{cases} \frac{\left(- a^{2} x^{2} - 4 a x - 6\right) e^{- a x}}{a} & \text{for}\: a \neq 0 \\\frac{a^{2} x^{3}}{3} + a x^{2} + 2 x & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**2*x**2 - 4*a*x - 6)*exp(-a*x)/a, Ne(a, 0)), (a**2*x**3/3 + a*x**2 + 2*x, True))","A"
29,1,22,0,6.331036," ","integrate(2*exp(-a*x)*(1+a*x+1/2*a**2*x**2)/x,x)","- a x e^{- a x} + 2 \operatorname{Ei}{\left(- a x \right)} - 3 e^{- a x}"," ",0,"-a*x*exp(-a*x) + 2*Ei(-a*x) - 3*exp(-a*x)","A"
30,1,12,0,0.190290," ","integrate(2*exp(-a*x)*(1+a*x+1/2*a**2*x**2)/x**2,x)","\frac{\left(- a x - 2\right) e^{- a x}}{x}"," ",0,"(-a*x - 2)*exp(-a*x)/x","A"
31,1,14,0,0.197217," ","integrate(2*exp(-a*x)*(1+a*x+1/2*a**2*x**2)/x**3,x)","\frac{\left(- a x - 1\right) e^{- a x}}{x^{2}}"," ",0,"(-a*x - 1)*exp(-a*x)/x**2","A"
32,1,32,0,1.837807," ","integrate(2*exp(-a*x)*(1+a*x+1/2*a**2*x**2)/x**4,x)","- \frac{a^{2} \operatorname{E}_{2}\left(a x\right)}{x} - \frac{2 a \operatorname{E}_{3}\left(a x\right)}{x^{2}} - \frac{2 \operatorname{E}_{4}\left(a x\right)}{x^{3}}"," ",0,"-a**2*expint(2, a*x)/x - 2*a*expint(3, a*x)/x**2 - 2*expint(4, a*x)/x**3","A"
33,-2,0,0,0.000000," ","integrate(x**99/a*Ei(2,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
34,-2,0,0,0.000000," ","integrate(x**2/a*Ei(2,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
35,-2,0,0,0.000000," ","integrate(x/a*Ei(2,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
36,-2,0,0,0.000000," ","integrate(1/a*Ei(2,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
37,-2,0,0,0.000000," ","integrate(1/a/x*Ei(2,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
38,-2,0,0,0.000000," ","integrate(1/a/x**2*Ei(2,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
39,-2,0,0,0.000000," ","integrate(1/a/x**3*Ei(2,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
40,-2,0,0,0.000000," ","integrate(1/a/x**4*Ei(2,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
41,-2,0,0,0.000000," ","integrate(1/a/x**5*Ei(2,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
42,-2,0,0,0.000000," ","integrate(x**98/a**2*Ei(3,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
43,-2,0,0,0.000000," ","integrate(x/a**2*Ei(3,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
44,-2,0,0,0.000000," ","integrate(1/a**2*Ei(3,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
45,-2,0,0,0.000000," ","integrate(1/x/a**2*Ei(3,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
46,-2,0,0,0.000000," ","integrate(1/a**2/x**2*Ei(3,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
47,-2,0,0,0.000000," ","integrate(1/a**2/x**3*Ei(3,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
48,-2,0,0,0.000000," ","integrate(1/a**2/x**4*Ei(3,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
49,-2,0,0,0.000000," ","integrate(1/a**2/x**5*Ei(3,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
50,-2,0,0,0.000000," ","integrate(1/a**2/x**6*Ei(3,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
51,-2,0,0,0.000000," ","integrate(x**97/a**3*Ei(4,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
52,-2,0,0,0.000000," ","integrate(1/a**3*Ei(4,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
53,-2,0,0,0.000000," ","integrate(1/x/a**3*Ei(4,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
54,-2,0,0,0.000000," ","integrate(1/x**2/a**3*Ei(4,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
55,-2,0,0,0.000000," ","integrate(1/a**3/x**3*Ei(4,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
56,-2,0,0,0.000000," ","integrate(1/a**3/x**4*Ei(4,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
57,-2,0,0,0.000000," ","integrate(1/a**3/x**5*Ei(4,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
58,-2,0,0,0.000000," ","integrate(1/a**3/x**6*Ei(4,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
59,-2,0,0,0.000000," ","integrate(1/a**3/x**7*Ei(4,a*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
60,-1,0,0,0.000000," ","integrate(x**100*pi**(1/2)*erfc((a*x)**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
61,1,114,0,8.170205," ","integrate(x**2*pi**(1/2)*erfc((a*x)**(1/2)),x)","\sqrt{\pi} \left(\begin{cases} \frac{x^{3} \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{3} - \frac{5 \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{8 a^{3}} - \frac{x^{\frac{5}{2}} e^{- a x}}{3 \sqrt{\pi} \sqrt{a}} - \frac{5 x^{\frac{3}{2}} e^{- a x}}{6 \sqrt{\pi} a^{\frac{3}{2}}} - \frac{5 \sqrt{x} e^{- a x}}{4 \sqrt{\pi} a^{\frac{5}{2}}} & \text{for}\: a \neq 0 \\\frac{x^{3}}{3} & \text{otherwise} \end{cases}\right)"," ",0,"sqrt(pi)*Piecewise((x**3*erfc(sqrt(a)*sqrt(x))/3 - 5*erfc(sqrt(a)*sqrt(x))/(8*a**3) - x**(5/2)*exp(-a*x)/(3*sqrt(pi)*sqrt(a)) - 5*x**(3/2)*exp(-a*x)/(6*sqrt(pi)*a**(3/2)) - 5*sqrt(x)*exp(-a*x)/(4*sqrt(pi)*a**(5/2)), Ne(a, 0)), (x**3/3, True))","A"
62,1,90,0,3.264729," ","integrate(x*pi**(1/2)*erfc((a*x)**(1/2)),x)","\sqrt{\pi} \left(\begin{cases} \frac{x^{2} \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{2} - \frac{3 \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{8 a^{2}} - \frac{x^{\frac{3}{2}} e^{- a x}}{2 \sqrt{\pi} \sqrt{a}} - \frac{3 \sqrt{x} e^{- a x}}{4 \sqrt{\pi} a^{\frac{3}{2}}} & \text{for}\: a \neq 0 \\\frac{x^{2}}{2} & \text{otherwise} \end{cases}\right)"," ",0,"sqrt(pi)*Piecewise((x**2*erfc(sqrt(a)*sqrt(x))/2 - 3*erfc(sqrt(a)*sqrt(x))/(8*a**2) - x**(3/2)*exp(-a*x)/(2*sqrt(pi)*sqrt(a)) - 3*sqrt(x)*exp(-a*x)/(4*sqrt(pi)*a**(3/2)), Ne(a, 0)), (x**2/2, True))","A"
63,1,54,0,1.417642," ","integrate(pi**(1/2)*erfc((a*x)**(1/2)),x)","\sqrt{\pi} \left(\begin{cases} x \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)} - \frac{\operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{2 a} - \frac{\sqrt{x} e^{- a x}}{\sqrt{\pi} \sqrt{a}} & \text{for}\: a \neq 0 \\x & \text{otherwise} \end{cases}\right)"," ",0,"sqrt(pi)*Piecewise((x*erfc(sqrt(a)*sqrt(x)) - erfc(sqrt(a)*sqrt(x))/(2*a) - sqrt(x)*exp(-a*x)/(sqrt(pi)*sqrt(a)), Ne(a, 0)), (x, True))","A"
64,0,0,0,0.000000," ","integrate(pi**(1/2)*erfc((a*x)**(1/2))/x,x)","\sqrt{\pi} \int \frac{\operatorname{erfc}{\left(\sqrt{a x} \right)}}{x}\, dx"," ",0,"sqrt(pi)*Integral(erfc(sqrt(a*x))/x, x)","F"
65,1,54,0,1.971886," ","integrate(pi**(1/2)*erfc((a*x)**(1/2))/x**2,x)","\sqrt{\pi} \left(\frac{2 \sqrt{a} e^{- a x}}{\sqrt{\pi} \sqrt{x}} - 2 a \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)} - \frac{\operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{x}\right)"," ",0,"sqrt(pi)*(2*sqrt(a)*exp(-a*x)/(sqrt(pi)*sqrt(x)) - 2*a*erfc(sqrt(a)*sqrt(x)) - erfc(sqrt(a)*sqrt(x))/x)","A"
66,1,85,0,4.776355," ","integrate(pi**(1/2)*erfc((a*x)**(1/2))/x**3,x)","\sqrt{\pi} \left(- \frac{2 a^{\frac{3}{2}} e^{- a x}}{3 \sqrt{\pi} \sqrt{x}} + \frac{\sqrt{a} e^{- a x}}{3 \sqrt{\pi} x^{\frac{3}{2}}} + \frac{2 a^{2} \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{3} - \frac{\operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{2 x^{2}}\right)"," ",0,"sqrt(pi)*(-2*a**(3/2)*exp(-a*x)/(3*sqrt(pi)*sqrt(x)) + sqrt(a)*exp(-a*x)/(3*sqrt(pi)*x**(3/2)) + 2*a**2*erfc(sqrt(a)*sqrt(x))/3 - erfc(sqrt(a)*sqrt(x))/(2*x**2))","A"
67,1,110,0,10.547163," ","integrate(pi**(1/2)*erfc((a*x)**(1/2))/x**4,x)","\sqrt{\pi} \left(\frac{8 a^{\frac{5}{2}} e^{- a x}}{45 \sqrt{\pi} \sqrt{x}} - \frac{4 a^{\frac{3}{2}} e^{- a x}}{45 \sqrt{\pi} x^{\frac{3}{2}}} + \frac{2 \sqrt{a} e^{- a x}}{15 \sqrt{\pi} x^{\frac{5}{2}}} - \frac{8 a^{3} \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{45} - \frac{\operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{3 x^{3}}\right)"," ",0,"sqrt(pi)*(8*a**(5/2)*exp(-a*x)/(45*sqrt(pi)*sqrt(x)) - 4*a**(3/2)*exp(-a*x)/(45*sqrt(pi)*x**(3/2)) + 2*sqrt(a)*exp(-a*x)/(15*sqrt(pi)*x**(5/2)) - 8*a**3*erfc(sqrt(a)*sqrt(x))/45 - erfc(sqrt(a)*sqrt(x))/(3*x**3))","A"
68,-1,0,0,0.000000," ","integrate(x**100*((a*x)**(1/2)*exp(-a*x)+1/2*pi**(1/2)*erfc((a*x)**(1/2))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
69,1,110,0,18.917176," ","integrate(x**2*((a*x)**(1/2)*exp(-a*x)+1/2*pi**(1/2)*erfc((a*x)**(1/2))),x)","\begin{cases} \frac{\sqrt{\pi} x^{3} \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{6} - \frac{35 \sqrt{\pi} \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{16 a^{3}} - \frac{7 x^{\frac{5}{2}} e^{- a x}}{6 \sqrt{a}} - \frac{35 x^{\frac{3}{2}} e^{- a x}}{12 a^{\frac{3}{2}}} - \frac{35 \sqrt{x} e^{- a x}}{8 a^{\frac{5}{2}}} & \text{for}\: a \neq 0 \\\frac{\sqrt{\pi} x^{3}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sqrt(pi)*x**3*erfc(sqrt(a)*sqrt(x))/6 - 35*sqrt(pi)*erfc(sqrt(a)*sqrt(x))/(16*a**3) - 7*x**(5/2)*exp(-a*x)/(6*sqrt(a)) - 35*x**(3/2)*exp(-a*x)/(12*a**(3/2)) - 35*sqrt(x)*exp(-a*x)/(8*a**(5/2)), Ne(a, 0)), (sqrt(pi)*x**3/6, True))","A"
70,1,92,0,7.974917," ","integrate(x*((a*x)**(1/2)*exp(-a*x)+1/2*pi**(1/2)*erfc((a*x)**(1/2))),x)","\begin{cases} \frac{\sqrt{\pi} x^{2} \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{4} - \frac{15 \sqrt{\pi} \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{16 a^{2}} - \frac{5 x^{\frac{3}{2}} e^{- a x}}{4 \sqrt{a}} - \frac{15 \sqrt{x} e^{- a x}}{8 a^{\frac{3}{2}}} & \text{for}\: a \neq 0 \\\frac{\sqrt{\pi} x^{2}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sqrt(pi)*x**2*erfc(sqrt(a)*sqrt(x))/4 - 15*sqrt(pi)*erfc(sqrt(a)*sqrt(x))/(16*a**2) - 5*x**(3/2)*exp(-a*x)/(4*sqrt(a)) - 15*sqrt(x)*exp(-a*x)/(8*a**(3/2)), Ne(a, 0)), (sqrt(pi)*x**2/4, True))","A"
71,1,92,0,3.262768," ","integrate((a*x)**(1/2)*exp(-a*x)+1/2*pi**(1/2)*erfc((a*x)**(1/2)),x)","\frac{\sqrt{\pi} \left(\begin{cases} x \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)} - \frac{\operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{2 a} - \frac{\sqrt{x} e^{- a x}}{\sqrt{\pi} \sqrt{a}} & \text{for}\: a \neq 0 \\x & \text{otherwise} \end{cases}\right)}{2} + \frac{\sqrt{\pi} \operatorname{erf}{\left(\sqrt{a} \sqrt{x} \right)}}{2 a} - \frac{\sqrt{x} e^{- a x}}{\sqrt{a}}"," ",0,"sqrt(pi)*Piecewise((x*erfc(sqrt(a)*sqrt(x)) - erfc(sqrt(a)*sqrt(x))/(2*a) - sqrt(x)*exp(-a*x)/(sqrt(pi)*sqrt(a)), Ne(a, 0)), (x, True))/2 + sqrt(pi)*erf(sqrt(a)*sqrt(x))/(2*a) - sqrt(x)*exp(-a*x)/sqrt(a)","A"
72,0,0,0,0.000000," ","integrate(((a*x)**(1/2)*exp(-a*x)+1/2*pi**(1/2)*erfc((a*x)**(1/2)))/x,x)","\frac{\int \frac{\sqrt{\pi} \operatorname{erfc}{\left(\sqrt{a x} \right)}}{x}\, dx + \int \frac{2 \sqrt{a x} e^{- a x}}{x}\, dx}{2}"," ",0,"(Integral(sqrt(pi)*erfc(sqrt(a*x))/x, x) + Integral(2*sqrt(a*x)*exp(-a*x)/x, x))/2","F"
73,1,53,0,2.049222," ","integrate(((a*x)**(1/2)*exp(-a*x)+1/2*pi**(1/2)*erfc((a*x)**(1/2)))/x**2,x)","- \frac{\sqrt{a} e^{- a x}}{\sqrt{x}} + \sqrt{\pi} a \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)} - \frac{\sqrt{\pi} \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{2 x}"," ",0,"-sqrt(a)*exp(-a*x)/sqrt(x) + sqrt(pi)*a*erfc(sqrt(a)*sqrt(x)) - sqrt(pi)*erfc(sqrt(a)*sqrt(x))/(2*x)","A"
74,1,73,0,4.805369," ","integrate(((a*x)**(1/2)*exp(-a*x)+1/2*pi**(1/2)*erfc((a*x)**(1/2)))/x**3,x)","\frac{a^{\frac{3}{2}} e^{- a x}}{\sqrt{x}} - \frac{\sqrt{a} e^{- a x}}{2 x^{\frac{3}{2}}} - \sqrt{\pi} a^{2} \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)} - \frac{\sqrt{\pi} \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{4 x^{2}}"," ",0,"a**(3/2)*exp(-a*x)/sqrt(x) - sqrt(a)*exp(-a*x)/(2*x**(3/2)) - sqrt(pi)*a**2*erfc(sqrt(a)*sqrt(x)) - sqrt(pi)*erfc(sqrt(a)*sqrt(x))/(4*x**2)","A"
75,1,99,0,11.075404," ","integrate(((a*x)**(1/2)*exp(-a*x)+1/2*pi**(1/2)*erfc((a*x)**(1/2)))/x**4,x)","- \frac{4 a^{\frac{5}{2}} e^{- a x}}{9 \sqrt{x}} + \frac{2 a^{\frac{3}{2}} e^{- a x}}{9 x^{\frac{3}{2}}} - \frac{\sqrt{a} e^{- a x}}{3 x^{\frac{5}{2}}} + \frac{4 \sqrt{\pi} a^{3} \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{9} - \frac{\sqrt{\pi} \operatorname{erfc}{\left(\sqrt{a} \sqrt{x} \right)}}{6 x^{3}}"," ",0,"-4*a**(5/2)*exp(-a*x)/(9*sqrt(x)) + 2*a**(3/2)*exp(-a*x)/(9*x**(3/2)) - sqrt(a)*exp(-a*x)/(3*x**(5/2)) + 4*sqrt(pi)*a**3*erfc(sqrt(a)*sqrt(x))/9 - sqrt(pi)*erfc(sqrt(a)*sqrt(x))/(6*x**3)","A"
76,1,165,0,10.535574," ","integrate(2*(d*x)**m*exp(-b*x)*(1+b*x+1/2*b**2*x**2),x)","\frac{2 b^{- m} d^{m} m \Gamma\left(m + 1\right) \gamma\left(m + 1, b x\right)}{b \Gamma\left(m + 2\right)} + \frac{2 b^{- m} d^{m} m \Gamma\left(m + 2\right) \gamma\left(m + 2, b x\right)}{b \Gamma\left(m + 3\right)} + \frac{b^{- m} d^{m} m \Gamma\left(m + 3\right) \gamma\left(m + 3, b x\right)}{b \Gamma\left(m + 4\right)} + \frac{2 b^{- m} d^{m} \Gamma\left(m + 1\right) \gamma\left(m + 1, b x\right)}{b \Gamma\left(m + 2\right)} + \frac{4 b^{- m} d^{m} \Gamma\left(m + 2\right) \gamma\left(m + 2, b x\right)}{b \Gamma\left(m + 3\right)} + \frac{3 b^{- m} d^{m} \Gamma\left(m + 3\right) \gamma\left(m + 3, b x\right)}{b \Gamma\left(m + 4\right)}"," ",0,"2*b**(-m)*d**m*m*gamma(m + 1)*lowergamma(m + 1, b*x)/(b*gamma(m + 2)) + 2*b**(-m)*d**m*m*gamma(m + 2)*lowergamma(m + 2, b*x)/(b*gamma(m + 3)) + b**(-m)*d**m*m*gamma(m + 3)*lowergamma(m + 3, b*x)/(b*gamma(m + 4)) + 2*b**(-m)*d**m*gamma(m + 1)*lowergamma(m + 1, b*x)/(b*gamma(m + 2)) + 4*b**(-m)*d**m*gamma(m + 2)*lowergamma(m + 2, b*x)/(b*gamma(m + 3)) + 3*b**(-m)*d**m*gamma(m + 3)*lowergamma(m + 3, b*x)/(b*gamma(m + 4))","A"
77,1,105,0,5.881795," ","integrate((d*x)**m*exp(-b*x)*(b*x+1),x)","\frac{b^{- m} d^{m} m \Gamma\left(m + 1\right) \gamma\left(m + 1, b x\right)}{b \Gamma\left(m + 2\right)} + \frac{b^{- m} d^{m} m \Gamma\left(m + 2\right) \gamma\left(m + 2, b x\right)}{b \Gamma\left(m + 3\right)} + \frac{b^{- m} d^{m} \Gamma\left(m + 1\right) \gamma\left(m + 1, b x\right)}{b \Gamma\left(m + 2\right)} + \frac{2 b^{- m} d^{m} \Gamma\left(m + 2\right) \gamma\left(m + 2, b x\right)}{b \Gamma\left(m + 3\right)}"," ",0,"b**(-m)*d**m*m*gamma(m + 1)*lowergamma(m + 1, b*x)/(b*gamma(m + 2)) + b**(-m)*d**m*m*gamma(m + 2)*lowergamma(m + 2, b*x)/(b*gamma(m + 3)) + b**(-m)*d**m*gamma(m + 1)*lowergamma(m + 1, b*x)/(b*gamma(m + 2)) + 2*b**(-m)*d**m*gamma(m + 2)*lowergamma(m + 2, b*x)/(b*gamma(m + 3))","A"
78,1,51,0,1.590876," ","integrate((d*x)**m*exp(-b*x),x)","\frac{b^{- m} d^{m} m \Gamma\left(m + 1\right) \gamma\left(m + 1, b x\right)}{b \Gamma\left(m + 2\right)} + \frac{b^{- m} d^{m} \Gamma\left(m + 1\right) \gamma\left(m + 1, b x\right)}{b \Gamma\left(m + 2\right)}"," ",0,"b**(-m)*d**m*m*gamma(m + 1)*lowergamma(m + 1, b*x)/(b*gamma(m + 2)) + b**(-m)*d**m*gamma(m + 1)*lowergamma(m + 1, b*x)/(b*gamma(m + 2))","A"
79,-2,0,0,0.000000," ","integrate((d*x)**m*Ei(1,b*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
80,-2,0,0,0.000000," ","integrate((d*x)**m/b/x*Ei(2,b*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
81,-2,0,0,0.000000," ","integrate((d*x)**m/b**2/x**2*Ei(3,b*x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
82,0,0,0,0.000000," ","integrate(x**m*uppergamma(n,x),x)","\int x^{m} \Gamma\left(n, x\right)\, dx"," ",0,"Integral(x**m*uppergamma(n, x), x)","F"
83,0,0,0,0.000000," ","integrate(x**m*uppergamma(n,b*x),x)","\int x^{m} \Gamma\left(n, b x\right)\, dx"," ",0,"Integral(x**m*uppergamma(n, b*x), x)","F"
84,0,0,0,0.000000," ","integrate((d*x)**m*uppergamma(n,x),x)","\int \left(d x\right)^{m} \Gamma\left(n, x\right)\, dx"," ",0,"Integral((d*x)**m*uppergamma(n, x), x)","F"
85,0,0,0,0.000000," ","integrate((d*x)**m*uppergamma(n,b*x),x)","\int \left(d x\right)^{m} \Gamma\left(n, b x\right)\, dx"," ",0,"Integral((d*x)**m*uppergamma(n, b*x), x)","F"
86,-1,0,0,0.000000," ","integrate(x**100*uppergamma(n,a*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
87,1,172,0,8.551843," ","integrate(x**2*uppergamma(n,a*x),x)","\begin{cases} \frac{x^{3} \Gamma\left(n, a x\right)}{3} - \frac{a^{n} x^{2} x^{n} e^{- a x}}{3 a} - \frac{a^{n} n x x^{n} e^{- a x}}{3 a^{2}} - \frac{2 a^{n} x x^{n} e^{- a x}}{3 a^{2}} - \frac{a^{n} n^{2} x^{n} e^{- a x}}{3 a^{3}} - \frac{a^{n} n x^{n} e^{- a x}}{a^{3}} - \frac{2 a^{n} x^{n} e^{- a x}}{3 a^{3}} - \frac{n^{3} \Gamma\left(n, a x\right)}{3 a^{3}} - \frac{n^{2} \Gamma\left(n, a x\right)}{a^{3}} - \frac{2 n \Gamma\left(n, a x\right)}{3 a^{3}} & \text{for}\: a \neq 0 \\\frac{x^{3} \Gamma\left(n\right)}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*uppergamma(n, a*x)/3 - a**n*x**2*x**n*exp(-a*x)/(3*a) - a**n*n*x*x**n*exp(-a*x)/(3*a**2) - 2*a**n*x*x**n*exp(-a*x)/(3*a**2) - a**n*n**2*x**n*exp(-a*x)/(3*a**3) - a**n*n*x**n*exp(-a*x)/a**3 - 2*a**n*x**n*exp(-a*x)/(3*a**3) - n**3*uppergamma(n, a*x)/(3*a**3) - n**2*uppergamma(n, a*x)/a**3 - 2*n*uppergamma(n, a*x)/(3*a**3), Ne(a, 0)), (x**3*gamma(n)/3, True))","A"
88,1,95,0,3.290731," ","integrate(x*uppergamma(n,a*x),x)","\begin{cases} \frac{x^{2} \Gamma\left(n, a x\right)}{2} - \frac{a^{n} x x^{n} e^{- a x}}{2 a} - \frac{a^{n} n x^{n} e^{- a x}}{2 a^{2}} - \frac{a^{n} x^{n} e^{- a x}}{2 a^{2}} - \frac{n^{2} \Gamma\left(n, a x\right)}{2 a^{2}} - \frac{n \Gamma\left(n, a x\right)}{2 a^{2}} & \text{for}\: a \neq 0 \\\frac{x^{2} \Gamma\left(n\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*uppergamma(n, a*x)/2 - a**n*x*x**n*exp(-a*x)/(2*a) - a**n*n*x**n*exp(-a*x)/(2*a**2) - a**n*x**n*exp(-a*x)/(2*a**2) - n**2*uppergamma(n, a*x)/(2*a**2) - n*uppergamma(n, a*x)/(2*a**2), Ne(a, 0)), (x**2*gamma(n)/2, True))","A"
89,1,32,0,1.357607," ","integrate(uppergamma(n,a*x),x)","\begin{cases} x \Gamma\left(n, a x\right) - \frac{a^{n} x^{n} e^{- a x}}{a} - \frac{n \Gamma\left(n, a x\right)}{a} & \text{for}\: a \neq 0 \\x \Gamma\left(n\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*uppergamma(n, a*x) - a**n*x**n*exp(-a*x)/a - n*uppergamma(n, a*x)/a, Ne(a, 0)), (x*gamma(n), True))","A"
90,0,0,0,0.000000," ","integrate(uppergamma(n,a*x)/x,x)","\int \frac{\Gamma\left(n, a x\right)}{x}\, dx"," ",0,"Integral(uppergamma(n, a*x)/x, x)","F"
91,-2,0,0,0.000000," ","integrate(uppergamma(n,a*x)/x**2,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
92,-2,0,0,0.000000," ","integrate(uppergamma(n,a*x)/x**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
93,-2,0,0,0.000000," ","integrate(uppergamma(n,a*x)/x**4,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
94,-1,0,0,0.000000," ","integrate(x**100*uppergamma(n,2*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
95,1,133,0,8.932912," ","integrate(x**2*uppergamma(n,2*x),x)","- \frac{2^{n} n^{2} x^{n} e^{- 2 x}}{24} - \frac{2^{n} n x x^{n} e^{- 2 x}}{12} - \frac{2^{n} n x^{n} e^{- 2 x}}{8} - \frac{2^{n} x^{2} x^{n} e^{- 2 x}}{6} - \frac{2^{n} x x^{n} e^{- 2 x}}{6} - \frac{2^{n} x^{n} e^{- 2 x}}{12} - \frac{n^{3} \Gamma\left(n, 2 x\right)}{24} - \frac{n^{2} \Gamma\left(n, 2 x\right)}{8} - \frac{n \Gamma\left(n, 2 x\right)}{12} + \frac{x^{3} \Gamma\left(n, 2 x\right)}{3}"," ",0,"-2**n*n**2*x**n*exp(-2*x)/24 - 2**n*n*x*x**n*exp(-2*x)/12 - 2**n*n*x**n*exp(-2*x)/8 - 2**n*x**2*x**n*exp(-2*x)/6 - 2**n*x*x**n*exp(-2*x)/6 - 2**n*x**n*exp(-2*x)/12 - n**3*uppergamma(n, 2*x)/24 - n**2*uppergamma(n, 2*x)/8 - n*uppergamma(n, 2*x)/12 + x**3*uppergamma(n, 2*x)/3","A"
96,1,71,0,3.542746," ","integrate(x*uppergamma(n,2*x),x)","- \frac{2^{n} n x^{n} e^{- 2 x}}{8} - \frac{2^{n} x x^{n} e^{- 2 x}}{4} - \frac{2^{n} x^{n} e^{- 2 x}}{8} - \frac{n^{2} \Gamma\left(n, 2 x\right)}{8} - \frac{n \Gamma\left(n, 2 x\right)}{8} + \frac{x^{2} \Gamma\left(n, 2 x\right)}{2}"," ",0,"-2**n*n*x**n*exp(-2*x)/8 - 2**n*x*x**n*exp(-2*x)/4 - 2**n*x**n*exp(-2*x)/8 - n**2*uppergamma(n, 2*x)/8 - n*uppergamma(n, 2*x)/8 + x**2*uppergamma(n, 2*x)/2","A"
97,1,27,0,1.315192," ","integrate(uppergamma(n,2*x),x)","- \frac{2^{n} x^{n} e^{- 2 x}}{2} - \frac{n \Gamma\left(n, 2 x\right)}{2} + x \Gamma\left(n, 2 x\right)"," ",0,"-2**n*x**n*exp(-2*x)/2 - n*uppergamma(n, 2*x)/2 + x*uppergamma(n, 2*x)","A"
98,0,0,0,0.000000," ","integrate(uppergamma(n,2*x)/x,x)","\int \frac{\Gamma\left(n, 2 x\right)}{x}\, dx"," ",0,"Integral(uppergamma(n, 2*x)/x, x)","F"
99,-2,0,0,0.000000," ","integrate(uppergamma(n,2*x)/x**2,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
100,-2,0,0,0.000000," ","integrate(uppergamma(n,2*x)/x**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
101,-2,0,0,0.000000," ","integrate(uppergamma(n,2*x)/x**4,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
102,-2,0,0,0.000000," ","integrate((d*x+c)**3*Ei(1,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
103,-2,0,0,0.000000," ","integrate((d*x+c)**2*Ei(1,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
104,-2,0,0,0.000000," ","integrate((d*x+c)*Ei(1,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
105,-2,0,0,0.000000," ","integrate(Ei(1,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
106,-2,0,0,0.000000," ","integrate(Ei(1,b*x+a)/(d*x+c),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
107,-2,0,0,0.000000," ","integrate(Ei(1,b*x+a)/(d*x+c)**2,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
108,-2,0,0,0.000000," ","integrate(Ei(1,b*x+a)/(d*x+c)**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
109,-2,0,0,0.000000," ","integrate(Ei(1,b*x+a)/(d*x+c)**4,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
110,1,223,0,0.308125," ","integrate((d*x+c)**4*exp(-b*x-a),x)","\begin{cases} \frac{\left(- b^{4} c^{4} - 4 b^{4} c^{3} d x - 6 b^{4} c^{2} d^{2} x^{2} - 4 b^{4} c d^{3} x^{3} - b^{4} d^{4} x^{4} - 4 b^{3} c^{3} d - 12 b^{3} c^{2} d^{2} x - 12 b^{3} c d^{3} x^{2} - 4 b^{3} d^{4} x^{3} - 12 b^{2} c^{2} d^{2} - 24 b^{2} c d^{3} x - 12 b^{2} d^{4} x^{2} - 24 b c d^{3} - 24 b d^{4} x - 24 d^{4}\right) e^{- a - b x}}{b^{5}} & \text{for}\: b^{5} \neq 0 \\c^{4} x + 2 c^{3} d x^{2} + 2 c^{2} d^{2} x^{3} + c d^{3} x^{4} + \frac{d^{4} x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-b**4*c**4 - 4*b**4*c**3*d*x - 6*b**4*c**2*d**2*x**2 - 4*b**4*c*d**3*x**3 - b**4*d**4*x**4 - 4*b**3*c**3*d - 12*b**3*c**2*d**2*x - 12*b**3*c*d**3*x**2 - 4*b**3*d**4*x**3 - 12*b**2*c**2*d**2 - 24*b**2*c*d**3*x - 12*b**2*d**4*x**2 - 24*b*c*d**3 - 24*b*d**4*x - 24*d**4)*exp(-a - b*x)/b**5, Ne(b**5, 0)), (c**4*x + 2*c**3*d*x**2 + 2*c**2*d**2*x**3 + c*d**3*x**4 + d**4*x**5/5, True))","A"
111,1,146,0,0.255297," ","integrate((d*x+c)**3*exp(-b*x-a),x)","\begin{cases} \frac{\left(- b^{3} c^{3} - 3 b^{3} c^{2} d x - 3 b^{3} c d^{2} x^{2} - b^{3} d^{3} x^{3} - 3 b^{2} c^{2} d - 6 b^{2} c d^{2} x - 3 b^{2} d^{3} x^{2} - 6 b c d^{2} - 6 b d^{3} x - 6 d^{3}\right) e^{- a - b x}}{b^{4}} & \text{for}\: b^{4} \neq 0 \\c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-b**3*c**3 - 3*b**3*c**2*d*x - 3*b**3*c*d**2*x**2 - b**3*d**3*x**3 - 3*b**2*c**2*d - 6*b**2*c*d**2*x - 3*b**2*d**3*x**2 - 6*b*c*d**2 - 6*b*d**3*x - 6*d**3)*exp(-a - b*x)/b**4, Ne(b**4, 0)), (c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4, True))","A"
112,1,82,0,0.217026," ","integrate((d*x+c)**2*exp(-b*x-a),x)","\begin{cases} \frac{\left(- b^{2} c^{2} - 2 b^{2} c d x - b^{2} d^{2} x^{2} - 2 b c d - 2 b d^{2} x - 2 d^{2}\right) e^{- a - b x}}{b^{3}} & \text{for}\: b^{3} \neq 0 \\c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-b**2*c**2 - 2*b**2*c*d*x - b**2*d**2*x**2 - 2*b*c*d - 2*b*d**2*x - 2*d**2)*exp(-a - b*x)/b**3, Ne(b**3, 0)), (c**2*x + c*d*x**2 + d**2*x**3/3, True))","A"
113,1,34,0,0.173624," ","integrate((d*x+c)*exp(-b*x-a),x)","\begin{cases} \frac{\left(- b c - b d x - d\right) e^{- a - b x}}{b^{2}} & \text{for}\: b^{2} \neq 0 \\c x + \frac{d x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-b*c - b*d*x - d)*exp(-a - b*x)/b**2, Ne(b**2, 0)), (c*x + d*x**2/2, True))","A"
114,1,12,0,0.125297," ","integrate(exp(-b*x-a),x)","\begin{cases} - \frac{e^{- a - b x}}{b} & \text{for}\: b \neq 0 \\x & \text{otherwise} \end{cases}"," ",0,"Piecewise((-exp(-a - b*x)/b, Ne(b, 0)), (x, True))","A"
115,0,0,0,0.000000," ","integrate(exp(-b*x-a)/(d*x+c),x)","e^{- a} \int \frac{1}{c e^{b x} + d x e^{b x}}\, dx"," ",0,"exp(-a)*Integral(1/(c*exp(b*x) + d*x*exp(b*x)), x)","F"
116,0,0,0,0.000000," ","integrate(exp(-b*x-a)/(d*x+c)**2,x)","e^{- a} \int \frac{1}{c^{2} e^{b x} + 2 c d x e^{b x} + d^{2} x^{2} e^{b x}}\, dx"," ",0,"exp(-a)*Integral(1/(c**2*exp(b*x) + 2*c*d*x*exp(b*x) + d**2*x**2*exp(b*x)), x)","F"
117,0,0,0,0.000000," ","integrate(exp(-b*x-a)/(d*x+c)**3,x)","e^{- a} \int \frac{1}{c^{3} e^{b x} + 3 c^{2} d x e^{b x} + 3 c d^{2} x^{2} e^{b x} + d^{3} x^{3} e^{b x}}\, dx"," ",0,"exp(-a)*Integral(1/(c**3*exp(b*x) + 3*c**2*d*x*exp(b*x) + 3*c*d**2*x**2*exp(b*x) + d**3*x**3*exp(b*x)), x)","F"
118,-1,0,0,0.000000," ","integrate(exp(-b*x-a)/(d*x+c)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
119,1,374,0,0.375922," ","integrate((d*x+c)**3*exp(-b*x-a)*(b*x+a+1),x)","\begin{cases} \frac{\left(- a b^{3} c^{3} - 3 a b^{3} c^{2} d x - 3 a b^{3} c d^{2} x^{2} - a b^{3} d^{3} x^{3} - 3 a b^{2} c^{2} d - 6 a b^{2} c d^{2} x - 3 a b^{2} d^{3} x^{2} - 6 a b c d^{2} - 6 a b d^{3} x - 6 a d^{3} - b^{4} c^{3} x - 3 b^{4} c^{2} d x^{2} - 3 b^{4} c d^{2} x^{3} - b^{4} d^{3} x^{4} - 2 b^{3} c^{3} - 9 b^{3} c^{2} d x - 12 b^{3} c d^{2} x^{2} - 5 b^{3} d^{3} x^{3} - 9 b^{2} c^{2} d - 24 b^{2} c d^{2} x - 15 b^{2} d^{3} x^{2} - 24 b c d^{2} - 30 b d^{3} x - 30 d^{3}\right) e^{- a - b x}}{b^{4}} & \text{for}\: b^{4} \neq 0 \\\frac{b d^{3} x^{5}}{5} + x^{4} \left(\frac{a d^{3}}{4} + \frac{3 b c d^{2}}{4} + \frac{d^{3}}{4}\right) + x^{3} \left(a c d^{2} + b c^{2} d + c d^{2}\right) + x^{2} \left(\frac{3 a c^{2} d}{2} + \frac{b c^{3}}{2} + \frac{3 c^{2} d}{2}\right) + x \left(a c^{3} + c^{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a*b**3*c**3 - 3*a*b**3*c**2*d*x - 3*a*b**3*c*d**2*x**2 - a*b**3*d**3*x**3 - 3*a*b**2*c**2*d - 6*a*b**2*c*d**2*x - 3*a*b**2*d**3*x**2 - 6*a*b*c*d**2 - 6*a*b*d**3*x - 6*a*d**3 - b**4*c**3*x - 3*b**4*c**2*d*x**2 - 3*b**4*c*d**2*x**3 - b**4*d**3*x**4 - 2*b**3*c**3 - 9*b**3*c**2*d*x - 12*b**3*c*d**2*x**2 - 5*b**3*d**3*x**3 - 9*b**2*c**2*d - 24*b**2*c*d**2*x - 15*b**2*d**3*x**2 - 24*b*c*d**2 - 30*b*d**3*x - 30*d**3)*exp(-a - b*x)/b**4, Ne(b**4, 0)), (b*d**3*x**5/5 + x**4*(a*d**3/4 + 3*b*c*d**2/4 + d**3/4) + x**3*(a*c*d**2 + b*c**2*d + c*d**2) + x**2*(3*a*c**2*d/2 + b*c**3/2 + 3*c**2*d/2) + x*(a*c**3 + c**3), True))","A"
120,1,216,0,0.300845," ","integrate((d*x+c)**2*exp(-b*x-a)*(b*x+a+1),x)","\begin{cases} \frac{\left(- a b^{2} c^{2} - 2 a b^{2} c d x - a b^{2} d^{2} x^{2} - 2 a b c d - 2 a b d^{2} x - 2 a d^{2} - b^{3} c^{2} x - 2 b^{3} c d x^{2} - b^{3} d^{2} x^{3} - 2 b^{2} c^{2} - 6 b^{2} c d x - 4 b^{2} d^{2} x^{2} - 6 b c d - 8 b d^{2} x - 8 d^{2}\right) e^{- a - b x}}{b^{3}} & \text{for}\: b^{3} \neq 0 \\\frac{b d^{2} x^{4}}{4} + x^{3} \left(\frac{a d^{2}}{3} + \frac{2 b c d}{3} + \frac{d^{2}}{3}\right) + x^{2} \left(a c d + \frac{b c^{2}}{2} + c d\right) + x \left(a c^{2} + c^{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a*b**2*c**2 - 2*a*b**2*c*d*x - a*b**2*d**2*x**2 - 2*a*b*c*d - 2*a*b*d**2*x - 2*a*d**2 - b**3*c**2*x - 2*b**3*c*d*x**2 - b**3*d**2*x**3 - 2*b**2*c**2 - 6*b**2*c*d*x - 4*b**2*d**2*x**2 - 6*b*c*d - 8*b*d**2*x - 8*d**2)*exp(-a - b*x)/b**3, Ne(b**3, 0)), (b*d**2*x**4/4 + x**3*(a*d**2/3 + 2*b*c*d/3 + d**2/3) + x**2*(a*c*d + b*c**2/2 + c*d) + x*(a*c**2 + c**2), True))","A"
121,1,92,0,0.216251," ","integrate((d*x+c)*exp(-b*x-a)*(b*x+a+1),x)","\begin{cases} \frac{\left(- a b c - a b d x - a d - b^{2} c x - b^{2} d x^{2} - 2 b c - 3 b d x - 3 d\right) e^{- a - b x}}{b^{2}} & \text{for}\: b^{2} \neq 0 \\\frac{b d x^{3}}{3} + x^{2} \left(\frac{a d}{2} + \frac{b c}{2} + \frac{d}{2}\right) + x \left(a c + c\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a*b*c - a*b*d*x - a*d - b**2*c*x - b**2*d*x**2 - 2*b*c - 3*b*d*x - 3*d)*exp(-a - b*x)/b**2, Ne(b**2, 0)), (b*d*x**3/3 + x**2*(a*d/2 + b*c/2 + d/2) + x*(a*c + c), True))","A"
122,1,29,0,0.154003," ","integrate(exp(-b*x-a)*(b*x+a+1),x)","\begin{cases} \frac{\left(- a - b x - 2\right) e^{- a - b x}}{b} & \text{for}\: b \neq 0 \\\frac{b x^{2}}{2} + x \left(a + 1\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a - b*x - 2)*exp(-a - b*x)/b, Ne(b, 0)), (b*x**2/2 + x*(a + 1), True))","A"
123,0,0,0,0.000000," ","integrate(exp(-b*x-a)*(b*x+a+1)/(d*x+c),x)","\left(\int \frac{a}{c e^{b x} + d x e^{b x}}\, dx + \int \frac{b x}{c e^{b x} + d x e^{b x}}\, dx + \int \frac{1}{c e^{b x} + d x e^{b x}}\, dx\right) e^{- a}"," ",0,"(Integral(a/(c*exp(b*x) + d*x*exp(b*x)), x) + Integral(b*x/(c*exp(b*x) + d*x*exp(b*x)), x) + Integral(1/(c*exp(b*x) + d*x*exp(b*x)), x))*exp(-a)","F"
124,0,0,0,0.000000," ","integrate(exp(-b*x-a)*(b*x+a+1)/(d*x+c)**2,x)","\left(\int \frac{a}{c^{2} e^{b x} + 2 c d x e^{b x} + d^{2} x^{2} e^{b x}}\, dx + \int \frac{b x}{c^{2} e^{b x} + 2 c d x e^{b x} + d^{2} x^{2} e^{b x}}\, dx + \int \frac{1}{c^{2} e^{b x} + 2 c d x e^{b x} + d^{2} x^{2} e^{b x}}\, dx\right) e^{- a}"," ",0,"(Integral(a/(c**2*exp(b*x) + 2*c*d*x*exp(b*x) + d**2*x**2*exp(b*x)), x) + Integral(b*x/(c**2*exp(b*x) + 2*c*d*x*exp(b*x) + d**2*x**2*exp(b*x)), x) + Integral(1/(c**2*exp(b*x) + 2*c*d*x*exp(b*x) + d**2*x**2*exp(b*x)), x))*exp(-a)","F"
125,-1,0,0,0.000000," ","integrate(exp(-b*x-a)*(b*x+a+1)/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
126,-1,0,0,0.000000," ","integrate(exp(-b*x-a)*(b*x+a+1)/(d*x+c)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
127,-1,0,0,0.000000," ","integrate(exp(-b*x-a)*(b*x+a+1)/(d*x+c)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
128,1,741,0,0.663538," ","integrate(2*(d*x+c)**3*exp(-b*x-a)*(1+b*x+a+1/2*(b*x+a)**2),x)","\begin{cases} \frac{\left(- a^{2} b^{3} c^{3} - 3 a^{2} b^{3} c^{2} d x - 3 a^{2} b^{3} c d^{2} x^{2} - a^{2} b^{3} d^{3} x^{3} - 3 a^{2} b^{2} c^{2} d - 6 a^{2} b^{2} c d^{2} x - 3 a^{2} b^{2} d^{3} x^{2} - 6 a^{2} b c d^{2} - 6 a^{2} b d^{3} x - 6 a^{2} d^{3} - 2 a b^{4} c^{3} x - 6 a b^{4} c^{2} d x^{2} - 6 a b^{4} c d^{2} x^{3} - 2 a b^{4} d^{3} x^{4} - 4 a b^{3} c^{3} - 18 a b^{3} c^{2} d x - 24 a b^{3} c d^{2} x^{2} - 10 a b^{3} d^{3} x^{3} - 18 a b^{2} c^{2} d - 48 a b^{2} c d^{2} x - 30 a b^{2} d^{3} x^{2} - 48 a b c d^{2} - 60 a b d^{3} x - 60 a d^{3} - b^{5} c^{3} x^{2} - 3 b^{5} c^{2} d x^{3} - 3 b^{5} c d^{2} x^{4} - b^{5} d^{3} x^{5} - 4 b^{4} c^{3} x - 15 b^{4} c^{2} d x^{2} - 18 b^{4} c d^{2} x^{3} - 7 b^{4} d^{3} x^{4} - 6 b^{3} c^{3} - 36 b^{3} c^{2} d x - 60 b^{3} c d^{2} x^{2} - 30 b^{3} d^{3} x^{3} - 36 b^{2} c^{2} d - 120 b^{2} c d^{2} x - 90 b^{2} d^{3} x^{2} - 120 b c d^{2} - 180 b d^{3} x - 180 d^{3}\right) e^{- a - b x}}{b^{4}} & \text{for}\: b^{4} \neq 0 \\\frac{b^{2} d^{3} x^{6}}{6} + x^{5} \left(\frac{2 a b d^{3}}{5} + \frac{3 b^{2} c d^{2}}{5} + \frac{2 b d^{3}}{5}\right) + x^{4} \left(\frac{a^{2} d^{3}}{4} + \frac{3 a b c d^{2}}{2} + \frac{a d^{3}}{2} + \frac{3 b^{2} c^{2} d}{4} + \frac{3 b c d^{2}}{2} + \frac{d^{3}}{2}\right) + x^{3} \left(a^{2} c d^{2} + 2 a b c^{2} d + 2 a c d^{2} + \frac{b^{2} c^{3}}{3} + 2 b c^{2} d + 2 c d^{2}\right) + x^{2} \left(\frac{3 a^{2} c^{2} d}{2} + a b c^{3} + 3 a c^{2} d + b c^{3} + 3 c^{2} d\right) + x \left(a^{2} c^{3} + 2 a c^{3} + 2 c^{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**2*b**3*c**3 - 3*a**2*b**3*c**2*d*x - 3*a**2*b**3*c*d**2*x**2 - a**2*b**3*d**3*x**3 - 3*a**2*b**2*c**2*d - 6*a**2*b**2*c*d**2*x - 3*a**2*b**2*d**3*x**2 - 6*a**2*b*c*d**2 - 6*a**2*b*d**3*x - 6*a**2*d**3 - 2*a*b**4*c**3*x - 6*a*b**4*c**2*d*x**2 - 6*a*b**4*c*d**2*x**3 - 2*a*b**4*d**3*x**4 - 4*a*b**3*c**3 - 18*a*b**3*c**2*d*x - 24*a*b**3*c*d**2*x**2 - 10*a*b**3*d**3*x**3 - 18*a*b**2*c**2*d - 48*a*b**2*c*d**2*x - 30*a*b**2*d**3*x**2 - 48*a*b*c*d**2 - 60*a*b*d**3*x - 60*a*d**3 - b**5*c**3*x**2 - 3*b**5*c**2*d*x**3 - 3*b**5*c*d**2*x**4 - b**5*d**3*x**5 - 4*b**4*c**3*x - 15*b**4*c**2*d*x**2 - 18*b**4*c*d**2*x**3 - 7*b**4*d**3*x**4 - 6*b**3*c**3 - 36*b**3*c**2*d*x - 60*b**3*c*d**2*x**2 - 30*b**3*d**3*x**3 - 36*b**2*c**2*d - 120*b**2*c*d**2*x - 90*b**2*d**3*x**2 - 120*b*c*d**2 - 180*b*d**3*x - 180*d**3)*exp(-a - b*x)/b**4, Ne(b**4, 0)), (b**2*d**3*x**6/6 + x**5*(2*a*b*d**3/5 + 3*b**2*c*d**2/5 + 2*b*d**3/5) + x**4*(a**2*d**3/4 + 3*a*b*c*d**2/2 + a*d**3/2 + 3*b**2*c**2*d/4 + 3*b*c*d**2/2 + d**3/2) + x**3*(a**2*c*d**2 + 2*a*b*c**2*d + 2*a*c*d**2 + b**2*c**3/3 + 2*b*c**2*d + 2*c*d**2) + x**2*(3*a**2*c**2*d/2 + a*b*c**3 + 3*a*c**2*d + b*c**3 + 3*c**2*d) + x*(a**2*c**3 + 2*a*c**3 + 2*c**3), True))","A"
129,1,447,0,0.491812," ","integrate(2*(d*x+c)**2*exp(-b*x-a)*(1+b*x+a+1/2*(b*x+a)**2),x)","\begin{cases} \frac{\left(- a^{2} b^{2} c^{2} - 2 a^{2} b^{2} c d x - a^{2} b^{2} d^{2} x^{2} - 2 a^{2} b c d - 2 a^{2} b d^{2} x - 2 a^{2} d^{2} - 2 a b^{3} c^{2} x - 4 a b^{3} c d x^{2} - 2 a b^{3} d^{2} x^{3} - 4 a b^{2} c^{2} - 12 a b^{2} c d x - 8 a b^{2} d^{2} x^{2} - 12 a b c d - 16 a b d^{2} x - 16 a d^{2} - b^{4} c^{2} x^{2} - 2 b^{4} c d x^{3} - b^{4} d^{2} x^{4} - 4 b^{3} c^{2} x - 10 b^{3} c d x^{2} - 6 b^{3} d^{2} x^{3} - 6 b^{2} c^{2} - 24 b^{2} c d x - 20 b^{2} d^{2} x^{2} - 24 b c d - 40 b d^{2} x - 40 d^{2}\right) e^{- a - b x}}{b^{3}} & \text{for}\: b^{3} \neq 0 \\\frac{b^{2} d^{2} x^{5}}{5} + x^{4} \left(\frac{a b d^{2}}{2} + \frac{b^{2} c d}{2} + \frac{b d^{2}}{2}\right) + x^{3} \left(\frac{a^{2} d^{2}}{3} + \frac{4 a b c d}{3} + \frac{2 a d^{2}}{3} + \frac{b^{2} c^{2}}{3} + \frac{4 b c d}{3} + \frac{2 d^{2}}{3}\right) + x^{2} \left(a^{2} c d + a b c^{2} + 2 a c d + b c^{2} + 2 c d\right) + x \left(a^{2} c^{2} + 2 a c^{2} + 2 c^{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**2*b**2*c**2 - 2*a**2*b**2*c*d*x - a**2*b**2*d**2*x**2 - 2*a**2*b*c*d - 2*a**2*b*d**2*x - 2*a**2*d**2 - 2*a*b**3*c**2*x - 4*a*b**3*c*d*x**2 - 2*a*b**3*d**2*x**3 - 4*a*b**2*c**2 - 12*a*b**2*c*d*x - 8*a*b**2*d**2*x**2 - 12*a*b*c*d - 16*a*b*d**2*x - 16*a*d**2 - b**4*c**2*x**2 - 2*b**4*c*d*x**3 - b**4*d**2*x**4 - 4*b**3*c**2*x - 10*b**3*c*d*x**2 - 6*b**3*d**2*x**3 - 6*b**2*c**2 - 24*b**2*c*d*x - 20*b**2*d**2*x**2 - 24*b*c*d - 40*b*d**2*x - 40*d**2)*exp(-a - b*x)/b**3, Ne(b**3, 0)), (b**2*d**2*x**5/5 + x**4*(a*b*d**2/2 + b**2*c*d/2 + b*d**2/2) + x**3*(a**2*d**2/3 + 4*a*b*c*d/3 + 2*a*d**2/3 + b**2*c**2/3 + 4*b*c*d/3 + 2*d**2/3) + x**2*(a**2*c*d + a*b*c**2 + 2*a*c*d + b*c**2 + 2*c*d) + x*(a**2*c**2 + 2*a*c**2 + 2*c**2), True))","A"
130,1,202,0,0.339603," ","integrate(2*(d*x+c)*exp(-b*x-a)*(1+b*x+a+1/2*(b*x+a)**2),x)","\begin{cases} \frac{\left(- a^{2} b c - a^{2} b d x - a^{2} d - 2 a b^{2} c x - 2 a b^{2} d x^{2} - 4 a b c - 6 a b d x - 6 a d - b^{3} c x^{2} - b^{3} d x^{3} - 4 b^{2} c x - 5 b^{2} d x^{2} - 6 b c - 12 b d x - 12 d\right) e^{- a - b x}}{b^{2}} & \text{for}\: b^{2} \neq 0 \\\frac{b^{2} d x^{4}}{4} + x^{3} \left(\frac{2 a b d}{3} + \frac{b^{2} c}{3} + \frac{2 b d}{3}\right) + x^{2} \left(\frac{a^{2} d}{2} + a b c + a d + b c + d\right) + x \left(a^{2} c + 2 a c + 2 c\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**2*b*c - a**2*b*d*x - a**2*d - 2*a*b**2*c*x - 2*a*b**2*d*x**2 - 4*a*b*c - 6*a*b*d*x - 6*a*d - b**3*c*x**2 - b**3*d*x**3 - 4*b**2*c*x - 5*b**2*d*x**2 - 6*b*c - 12*b*d*x - 12*d)*exp(-a - b*x)/b**2, Ne(b**2, 0)), (b**2*d*x**4/4 + x**3*(2*a*b*d/3 + b**2*c/3 + 2*b*d/3) + x**2*(a**2*d/2 + a*b*c + a*d + b*c + d) + x*(a**2*c + 2*a*c + 2*c), True))","A"
131,1,65,0,0.231609," ","integrate(2*exp(-b*x-a)*(1+b*x+a+1/2*(b*x+a)**2),x)","\begin{cases} \frac{\left(- a^{2} - 2 a b x - 4 a - b^{2} x^{2} - 4 b x - 6\right) e^{- a - b x}}{b} & \text{for}\: b \neq 0 \\\frac{b^{2} x^{3}}{3} + x^{2} \left(a b + b\right) + x \left(a^{2} + 2 a + 2\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**2 - 2*a*b*x - 4*a - b**2*x**2 - 4*b*x - 6)*exp(-a - b*x)/b, Ne(b, 0)), (b**2*x**3/3 + x**2*(a*b + b) + x*(a**2 + 2*a + 2), True))","A"
132,0,0,0,0.000000," ","integrate(2*exp(-b*x-a)*(1+b*x+a+1/2*(b*x+a)**2)/(d*x+c),x)","\left(\int \frac{2 a}{c e^{b x} + d x e^{b x}}\, dx + \int \frac{a^{2}}{c e^{b x} + d x e^{b x}}\, dx + \int \frac{2 b x}{c e^{b x} + d x e^{b x}}\, dx + \int \frac{b^{2} x^{2}}{c e^{b x} + d x e^{b x}}\, dx + \int \frac{2 a b x}{c e^{b x} + d x e^{b x}}\, dx + \int \frac{2}{c e^{b x} + d x e^{b x}}\, dx\right) e^{- a}"," ",0,"(Integral(2*a/(c*exp(b*x) + d*x*exp(b*x)), x) + Integral(a**2/(c*exp(b*x) + d*x*exp(b*x)), x) + Integral(2*b*x/(c*exp(b*x) + d*x*exp(b*x)), x) + Integral(b**2*x**2/(c*exp(b*x) + d*x*exp(b*x)), x) + Integral(2*a*b*x/(c*exp(b*x) + d*x*exp(b*x)), x) + Integral(2/(c*exp(b*x) + d*x*exp(b*x)), x))*exp(-a)","F"
133,0,0,0,0.000000," ","integrate(2*exp(-b*x-a)*(1+b*x+a+1/2*(b*x+a)**2)/(d*x+c)**2,x)","\left(\int \frac{2 a}{c^{2} e^{b x} + 2 c d x e^{b x} + d^{2} x^{2} e^{b x}}\, dx + \int \frac{a^{2}}{c^{2} e^{b x} + 2 c d x e^{b x} + d^{2} x^{2} e^{b x}}\, dx + \int \frac{2 b x}{c^{2} e^{b x} + 2 c d x e^{b x} + d^{2} x^{2} e^{b x}}\, dx + \int \frac{b^{2} x^{2}}{c^{2} e^{b x} + 2 c d x e^{b x} + d^{2} x^{2} e^{b x}}\, dx + \int \frac{2 a b x}{c^{2} e^{b x} + 2 c d x e^{b x} + d^{2} x^{2} e^{b x}}\, dx + \int \frac{2}{c^{2} e^{b x} + 2 c d x e^{b x} + d^{2} x^{2} e^{b x}}\, dx\right) e^{- a}"," ",0,"(Integral(2*a/(c**2*exp(b*x) + 2*c*d*x*exp(b*x) + d**2*x**2*exp(b*x)), x) + Integral(a**2/(c**2*exp(b*x) + 2*c*d*x*exp(b*x) + d**2*x**2*exp(b*x)), x) + Integral(2*b*x/(c**2*exp(b*x) + 2*c*d*x*exp(b*x) + d**2*x**2*exp(b*x)), x) + Integral(b**2*x**2/(c**2*exp(b*x) + 2*c*d*x*exp(b*x) + d**2*x**2*exp(b*x)), x) + Integral(2*a*b*x/(c**2*exp(b*x) + 2*c*d*x*exp(b*x) + d**2*x**2*exp(b*x)), x) + Integral(2/(c**2*exp(b*x) + 2*c*d*x*exp(b*x) + d**2*x**2*exp(b*x)), x))*exp(-a)","F"
134,-1,0,0,0.000000," ","integrate(2*exp(-b*x-a)*(1+b*x+a+1/2*(b*x+a)**2)/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
135,-1,0,0,0.000000," ","integrate(2*exp(-b*x-a)*(1+b*x+a+1/2*(b*x+a)**2)/(d*x+c)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
136,-1,0,0,0.000000," ","integrate(2*exp(-b*x-a)*(1+b*x+a+1/2*(b*x+a)**2)/(d*x+c)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
137,-2,0,0,0.000000," ","integrate((d*x+c)**3/(b*x+a)*Ei(2,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
138,-2,0,0,0.000000," ","integrate((d*x+c)**2/(b*x+a)*Ei(2,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
139,-2,0,0,0.000000," ","integrate((d*x+c)/(b*x+a)*Ei(2,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
140,-2,0,0,0.000000," ","integrate(1/(b*x+a)*Ei(2,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
141,-2,0,0,0.000000," ","integrate(1/(b*x+a)*Ei(2,b*x+a)/(d*x+c),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
142,-2,0,0,0.000000," ","integrate(1/(b*x+a)*Ei(2,b*x+a)/(d*x+c)**2,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
143,-2,0,0,0.000000," ","integrate(1/(b*x+a)*Ei(2,b*x+a)/(d*x+c)**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
144,-2,0,0,0.000000," ","integrate(1/(b*x+a)*Ei(2,b*x+a)/(d*x+c)**4,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
145,-2,0,0,0.000000," ","integrate((d*x+c)**3/(b*x+a)**2*Ei(3,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
146,-2,0,0,0.000000," ","integrate((d*x+c)**2/(b*x+a)**2*Ei(3,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
147,-2,0,0,0.000000," ","integrate((d*x+c)/(b*x+a)**2*Ei(3,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
148,-2,0,0,0.000000," ","integrate(1/(b*x+a)**2*Ei(3,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
149,-2,0,0,0.000000," ","integrate(1/(b*x+a)**2*Ei(3,b*x+a)/(d*x+c),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
150,-2,0,0,0.000000," ","integrate(1/(b*x+a)**2*Ei(3,b*x+a)/(d*x+c)**2,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
151,-2,0,0,0.000000," ","integrate(1/(b*x+a)**2*Ei(3,b*x+a)/(d*x+c)**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
152,-2,0,0,0.000000," ","integrate(1/(b*x+a)**2*Ei(3,b*x+a)/(d*x+c)**4,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
153,-2,0,0,0.000000," ","integrate((d*x+c)**3/(b*x+a)**3*Ei(4,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
154,-2,0,0,0.000000," ","integrate((d*x+c)**2/(b*x+a)**3*Ei(4,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
155,-2,0,0,0.000000," ","integrate((d*x+c)/(b*x+a)**3*Ei(4,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
156,-2,0,0,0.000000," ","integrate(1/(b*x+a)**3*Ei(4,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
157,-2,0,0,0.000000," ","integrate(1/(b*x+a)**3*Ei(4,b*x+a)/(d*x+c),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
158,-2,0,0,0.000000," ","integrate(1/(b*x+a)**3*Ei(4,b*x+a)/(d*x+c)**2,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
159,-2,0,0,0.000000," ","integrate(1/(b*x+a)**3*Ei(4,b*x+a)/(d*x+c)**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
160,-2,0,0,0.000000," ","integrate(1/(b*x+a)**3*Ei(4,b*x+a)/(d*x+c)**4,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
161,-1,0,0,0.000000," ","integrate(x**(5/2)*exp(-b*x-a)*(b*x+a+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
162,-1,0,0,0.000000," ","integrate(x**(3/2)*exp(-b*x-a)*(b*x+a+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
163,1,780,0,35.160639," ","integrate(x**(1/2)*exp(-b*x-a)*(b*x+a+1),x)","2 a x \left(\begin{cases} \frac{\sqrt{\pi} \sqrt{\frac{1}{b}} \operatorname{erf}{\left(\sqrt{b} \sqrt{x} \right)}}{2} & \text{for}\: b > 0 \\- \frac{\sqrt{\pi} \sqrt{- \frac{1}{b}} \operatorname{erfi}{\left(\frac{b \sqrt{x}}{\sqrt{- b}} \right)}}{2} & \text{otherwise} \end{cases}\right) e^{- a} - 4 a \left(\begin{cases} \frac{\sqrt{\pi} x \sqrt{\frac{1}{b}} \operatorname{erf}{\left(\sqrt{b} \sqrt{x} \right)}}{4} - \frac{\sqrt{\pi} \sqrt{\frac{1}{b}} \operatorname{erf}{\left(\sqrt{b} \sqrt{x} \right)}}{8 b} + \frac{\sqrt{x} \sqrt{\frac{1}{b}} e^{- b x}}{4 \sqrt{b}} & \text{for}\: b > 0 \\\frac{\sqrt{\pi} x \sqrt{- \frac{1}{b}} \operatorname{erfi}{\left(i \sqrt{b} \sqrt{x} \right)}}{4} - \frac{\sqrt{\pi} \sqrt{- \frac{1}{b}} \operatorname{erfi}{\left(i \sqrt{b} \sqrt{x} \right)}}{8 b} + \frac{i \sqrt{x} \sqrt{- \frac{1}{b}} e^{- b x}}{4 \sqrt{b}} & \text{otherwise} \end{cases}\right) e^{- a} + 2 b x^{2} \left(\begin{cases} \frac{\sqrt{\pi} \sqrt{\frac{1}{b}} \operatorname{erf}{\left(\sqrt{b} \sqrt{x} \right)}}{2} & \text{for}\: b > 0 \\- \frac{\sqrt{\pi} \sqrt{- \frac{1}{b}} \operatorname{erfi}{\left(\frac{b \sqrt{x}}{\sqrt{- b}} \right)}}{2} & \text{otherwise} \end{cases}\right) e^{- a} - 8 b \left(\begin{cases} \frac{\sqrt{\pi} x^{2} \sqrt{\frac{1}{b}} \operatorname{erf}{\left(\sqrt{b} \sqrt{x} \right)}}{8} - \frac{3 \sqrt{\pi} \sqrt{\frac{1}{b}} \operatorname{erf}{\left(\sqrt{b} \sqrt{x} \right)}}{32 b^{2}} + \frac{x^{\frac{3}{2}} \sqrt{\frac{1}{b}} e^{- b x}}{8 \sqrt{b}} + \frac{3 \sqrt{x} \sqrt{\frac{1}{b}} e^{- b x}}{16 b^{\frac{3}{2}}} & \text{for}\: b > 0 \\\frac{\sqrt{\pi} x^{2} \sqrt{- \frac{1}{b}} \operatorname{erfi}{\left(i \sqrt{b} \sqrt{x} \right)}}{8} - \frac{3 \sqrt{\pi} \sqrt{- \frac{1}{b}} \operatorname{erfi}{\left(i \sqrt{b} \sqrt{x} \right)}}{32 b^{2}} + \frac{i x^{\frac{3}{2}} \sqrt{- \frac{1}{b}} e^{- b x}}{8 \sqrt{b}} + \frac{3 i \sqrt{x} \sqrt{- \frac{1}{b}} e^{- b x}}{16 b^{\frac{3}{2}}} & \text{otherwise} \end{cases}\right) e^{- a} + 2 x \left(\begin{cases} \frac{\sqrt{\pi} \sqrt{\frac{1}{b}} \operatorname{erf}{\left(\sqrt{b} \sqrt{x} \right)}}{2} & \text{for}\: b > 0 \\- \frac{\sqrt{\pi} \sqrt{- \frac{1}{b}} \operatorname{erfi}{\left(\frac{b \sqrt{x}}{\sqrt{- b}} \right)}}{2} & \text{otherwise} \end{cases}\right) e^{- a} - 4 \left(\begin{cases} \frac{\sqrt{\pi} x \sqrt{\frac{1}{b}} \operatorname{erf}{\left(\sqrt{b} \sqrt{x} \right)}}{4} - \frac{\sqrt{\pi} \sqrt{\frac{1}{b}} \operatorname{erf}{\left(\sqrt{b} \sqrt{x} \right)}}{8 b} + \frac{\sqrt{x} \sqrt{\frac{1}{b}} e^{- b x}}{4 \sqrt{b}} & \text{for}\: b > 0 \\\frac{\sqrt{\pi} x \sqrt{- \frac{1}{b}} \operatorname{erfi}{\left(i \sqrt{b} \sqrt{x} \right)}}{4} - \frac{\sqrt{\pi} \sqrt{- \frac{1}{b}} \operatorname{erfi}{\left(i \sqrt{b} \sqrt{x} \right)}}{8 b} + \frac{i \sqrt{x} \sqrt{- \frac{1}{b}} e^{- b x}}{4 \sqrt{b}} & \text{otherwise} \end{cases}\right) e^{- a}"," ",0,"2*a*x*Piecewise((sqrt(pi)*sqrt(1/b)*erf(sqrt(b)*sqrt(x))/2, b > 0), (-sqrt(pi)*sqrt(-1/b)*erfi(b*sqrt(x)/sqrt(-b))/2, True))*exp(-a) - 4*a*Piecewise((sqrt(pi)*x*sqrt(1/b)*erf(sqrt(b)*sqrt(x))/4 - sqrt(pi)*sqrt(1/b)*erf(sqrt(b)*sqrt(x))/(8*b) + sqrt(x)*sqrt(1/b)*exp(-b*x)/(4*sqrt(b)), b > 0), (sqrt(pi)*x*sqrt(-1/b)*erfi(I*sqrt(b)*sqrt(x))/4 - sqrt(pi)*sqrt(-1/b)*erfi(I*sqrt(b)*sqrt(x))/(8*b) + I*sqrt(x)*sqrt(-1/b)*exp(-b*x)/(4*sqrt(b)), True))*exp(-a) + 2*b*x**2*Piecewise((sqrt(pi)*sqrt(1/b)*erf(sqrt(b)*sqrt(x))/2, b > 0), (-sqrt(pi)*sqrt(-1/b)*erfi(b*sqrt(x)/sqrt(-b))/2, True))*exp(-a) - 8*b*Piecewise((sqrt(pi)*x**2*sqrt(1/b)*erf(sqrt(b)*sqrt(x))/8 - 3*sqrt(pi)*sqrt(1/b)*erf(sqrt(b)*sqrt(x))/(32*b**2) + x**(3/2)*sqrt(1/b)*exp(-b*x)/(8*sqrt(b)) + 3*sqrt(x)*sqrt(1/b)*exp(-b*x)/(16*b**(3/2)), b > 0), (sqrt(pi)*x**2*sqrt(-1/b)*erfi(I*sqrt(b)*sqrt(x))/8 - 3*sqrt(pi)*sqrt(-1/b)*erfi(I*sqrt(b)*sqrt(x))/(32*b**2) + I*x**(3/2)*sqrt(-1/b)*exp(-b*x)/(8*sqrt(b)) + 3*I*sqrt(x)*sqrt(-1/b)*exp(-b*x)/(16*b**(3/2)), True))*exp(-a) + 2*x*Piecewise((sqrt(pi)*sqrt(1/b)*erf(sqrt(b)*sqrt(x))/2, b > 0), (-sqrt(pi)*sqrt(-1/b)*erfi(b*sqrt(x)/sqrt(-b))/2, True))*exp(-a) - 4*Piecewise((sqrt(pi)*x*sqrt(1/b)*erf(sqrt(b)*sqrt(x))/4 - sqrt(pi)*sqrt(1/b)*erf(sqrt(b)*sqrt(x))/(8*b) + sqrt(x)*sqrt(1/b)*exp(-b*x)/(4*sqrt(b)), b > 0), (sqrt(pi)*x*sqrt(-1/b)*erfi(I*sqrt(b)*sqrt(x))/4 - sqrt(pi)*sqrt(-1/b)*erfi(I*sqrt(b)*sqrt(x))/(8*b) + I*sqrt(x)*sqrt(-1/b)*exp(-b*x)/(4*sqrt(b)), True))*exp(-a)","A"
164,1,99,0,14.670927," ","integrate(exp(-b*x-a)*(b*x+a+1)/x**(1/2),x)","\left(- \frac{\sqrt{\pi} a \sqrt{b x} \operatorname{erfc}{\left(\sqrt{b x} \right)}}{b \sqrt{x}} - \frac{\sqrt{x} \left(\sqrt{b x} e^{- b x} + \frac{\sqrt{\pi} \operatorname{erfc}{\left(\sqrt{b x} \right)}}{2}\right)}{\sqrt{b x}} - \frac{\sqrt{\pi} \sqrt{b x} \operatorname{erfc}{\left(\sqrt{b x} \right)}}{b \sqrt{x}}\right) e^{- a}"," ",0,"(-sqrt(pi)*a*sqrt(b*x)*erfc(sqrt(b*x))/(b*sqrt(x)) - sqrt(x)*(sqrt(b*x)*exp(-b*x) + sqrt(pi)*erfc(sqrt(b*x))/2)/sqrt(b*x) - sqrt(pi)*sqrt(b*x)*erfc(sqrt(b*x))/(b*sqrt(x)))*exp(-a)","A"
165,1,116,0,14.237568," ","integrate(exp(-b*x-a)*(b*x+a+1)/x**(3/2),x)","\left(- \frac{a \left(b x\right)^{\frac{3}{2}} \left(- 2 \sqrt{\pi} \operatorname{erfc}{\left(\sqrt{b x} \right)} + \frac{2 e^{- b x}}{\sqrt{b x}}\right)}{b x^{\frac{3}{2}}} - \frac{\sqrt{\pi} \sqrt{b x} \operatorname{erfc}{\left(\sqrt{b x} \right)}}{\sqrt{x}} - \frac{\left(b x\right)^{\frac{3}{2}} \left(- 2 \sqrt{\pi} \operatorname{erfc}{\left(\sqrt{b x} \right)} + \frac{2 e^{- b x}}{\sqrt{b x}}\right)}{b x^{\frac{3}{2}}}\right) e^{- a}"," ",0,"(-a*(b*x)**(3/2)*(-2*sqrt(pi)*erfc(sqrt(b*x)) + 2*exp(-b*x)/sqrt(b*x))/(b*x**(3/2)) - sqrt(pi)*sqrt(b*x)*erfc(sqrt(b*x))/sqrt(x) - (b*x)**(3/2)*(-2*sqrt(pi)*erfc(sqrt(b*x)) + 2*exp(-b*x)/sqrt(b*x))/(b*x**(3/2)))*exp(-a)","A"
166,-1,0,0,0.000000," ","integrate(exp(-b*x-a)*(b*x+a+1)/x**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
167,-1,0,0,0.000000," ","integrate(exp(-b*x-a)*(b*x+a+1)/x**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
168,-1,0,0,0.000000," ","integrate(exp(-b*x-a)*(b*x+a+1)/x**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
169,-2,0,0,0.000000," ","integrate(x**(3/2)/(b*x+a)**2*Ei(3,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
170,-2,0,0,0.000000," ","integrate(1/(b*x+a)**2*Ei(3,b*x+a)*x**(1/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
171,-2,0,0,0.000000," ","integrate(1/(b*x+a)**2*Ei(3,b*x+a)/x**(1/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
172,-2,0,0,0.000000," ","integrate(1/(b*x+a)**2*Ei(3,b*x+a)/x**(3/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
173,-1,0,0,0.000000," ","integrate(x**(4/3)*exp(-b*x-a)*(b*x+a+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
174,-1,0,0,0.000000," ","integrate(x**(2/3)*exp(-b*x-a)*(b*x+a+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
175,1,71,0,130.344970," ","integrate(x**(1/3)*exp(-b*x-a)*(b*x+a+1),x)","- \frac{a \sqrt[3]{x} e^{- a} \Gamma\left(\frac{4}{3}, b x\right)}{b \sqrt[3]{b x}} - \frac{x^{\frac{4}{3}} e^{- a} \Gamma\left(\frac{7}{3}, b x\right)}{\left(b x\right)^{\frac{4}{3}}} - \frac{\sqrt[3]{x} e^{- a} \Gamma\left(\frac{4}{3}, b x\right)}{b \sqrt[3]{b x}}"," ",0,"-a*x**(1/3)*exp(-a)*uppergamma(4/3, b*x)/(b*(b*x)**(1/3)) - x**(4/3)*exp(-a)*uppergamma(7/3, b*x)/(b*x)**(4/3) - x**(1/3)*exp(-a)*uppergamma(4/3, b*x)/(b*(b*x)**(1/3))","A"
176,1,65,0,29.001698," ","integrate(exp(-b*x-a)*(b*x+a+1)/x**(1/3),x)","\left(- \frac{a \sqrt[3]{b x} \Gamma\left(\frac{2}{3}, b x\right)}{b \sqrt[3]{x}} - \frac{x^{\frac{2}{3}} \Gamma\left(\frac{5}{3}, b x\right)}{\left(b x\right)^{\frac{2}{3}}} - \frac{\sqrt[3]{b x} \Gamma\left(\frac{2}{3}, b x\right)}{b \sqrt[3]{x}}\right) e^{- a}"," ",0,"(-a*(b*x)**(1/3)*uppergamma(2/3, b*x)/(b*x**(1/3)) - x**(2/3)*uppergamma(5/3, b*x)/(b*x)**(2/3) - (b*x)**(1/3)*uppergamma(2/3, b*x)/(b*x**(1/3)))*exp(-a)","A"
177,1,65,0,29.204379," ","integrate(exp(-b*x-a)*(b*x+a+1)/x**(2/3),x)","\left(- \frac{a \left(b x\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, b x\right)}{b x^{\frac{2}{3}}} - \frac{\sqrt[3]{x} \Gamma\left(\frac{4}{3}, b x\right)}{\sqrt[3]{b x}} - \frac{\left(b x\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, b x\right)}{b x^{\frac{2}{3}}}\right) e^{- a}"," ",0,"(-a*(b*x)**(2/3)*uppergamma(1/3, b*x)/(b*x**(2/3)) - x**(1/3)*uppergamma(4/3, b*x)/(b*x)**(1/3) - (b*x)**(2/3)*uppergamma(1/3, b*x)/(b*x**(2/3)))*exp(-a)","A"
178,1,68,0,26.546241," ","integrate(exp(-b*x-a)*(b*x+a+1)/x**(4/3),x)","\left(- \frac{a \left(b x\right)^{\frac{4}{3}} \Gamma\left(- \frac{1}{3}, b x\right)}{b x^{\frac{4}{3}}} - \frac{\sqrt[3]{b x} \Gamma\left(\frac{2}{3}, b x\right)}{\sqrt[3]{x}} - \frac{\left(b x\right)^{\frac{4}{3}} \Gamma\left(- \frac{1}{3}, b x\right)}{b x^{\frac{4}{3}}}\right) e^{- a}"," ",0,"(-a*(b*x)**(4/3)*uppergamma(-1/3, b*x)/(b*x**(4/3)) - (b*x)**(1/3)*uppergamma(2/3, b*x)/x**(1/3) - (b*x)**(4/3)*uppergamma(-1/3, b*x)/(b*x**(4/3)))*exp(-a)","A"
179,-1,0,0,0.000000," ","integrate(2*(d*x+c)**m*exp(-b*x-a)*(1+b*x+a+1/2*(b*x+a)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
180,-1,0,0,0.000000," ","integrate((d*x+c)**m*exp(-b*x-a)*(b*x+a+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
181,-2,0,0,0.000000," ","integrate((d*x+c)**m*exp(-b*x-a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
182,-2,0,0,0.000000," ","integrate((d*x+c)**m*Ei(1,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
183,-2,0,0,0.000000," ","integrate((d*x+c)**m/(b*x+a)*Ei(2,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
184,-2,0,0,0.000000," ","integrate((d*x+c)**m/(b*x+a)**2*Ei(3,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
185,-2,0,0,0.000000," ","integrate((d*x+c)**m/(b*x+a)**3*Ei(4,b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
186,-1,0,0,0.000000," ","integrate(x**m*uppergamma(n,b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
187,-1,0,0,0.000000," ","integrate((d*x+c)**m*uppergamma(n,b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
188,-1,0,0,0.000000," ","integrate((d*x+c)**4*uppergamma(n,b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
189,-1,0,0,0.000000," ","integrate((d*x+c)**3*uppergamma(n,b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
190,-1,0,0,0.000000," ","integrate((d*x+c)**2*uppergamma(n,b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
191,-1,0,0,0.000000," ","integrate((d*x+c)*uppergamma(n,b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
192,1,49,0,88.004549," ","integrate(uppergamma(n,b*x+a),x)","\begin{cases} \frac{a \Gamma\left(n, a + b x\right)}{b} + x \Gamma\left(n, a + b x\right) - \frac{n \Gamma\left(n, a + b x\right)}{b} - \frac{\left(a + b x\right)^{n} e^{- a} e^{- b x}}{b} & \text{for}\: b \neq 0 \\x \Gamma\left(n, a\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*uppergamma(n, a + b*x)/b + x*uppergamma(n, a + b*x) - n*uppergamma(n, a + b*x)/b - (a + b*x)**n*exp(-a)*exp(-b*x)/b, Ne(b, 0)), (x*uppergamma(n, a), True))","A"
193,-1,0,0,0.000000," ","integrate(uppergamma(n,b*x+a)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
194,-1,0,0,0.000000," ","integrate(uppergamma(n,b*x+a)/(d*x+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
195,-1,0,0,0.000000," ","integrate(uppergamma(n,b*x+a)/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
196,-1,0,0,0.000000," ","integrate(x**2*uppergamma(p,d*(a+b*ln(c*x**n))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
197,-1,0,0,0.000000," ","integrate(x*uppergamma(p,d*(a+b*ln(c*x**n))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
198,-1,0,0,0.000000," ","integrate(uppergamma(p,d*(a+b*ln(c*x**n))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
199,-1,0,0,0.000000," ","integrate(uppergamma(p,d*(a+b*ln(c*x**n)))/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
200,-1,0,0,0.000000," ","integrate(uppergamma(p,d*(a+b*ln(c*x**n)))/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
201,-1,0,0,0.000000," ","integrate(uppergamma(p,d*(a+b*ln(c*x**n)))/x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
202,-1,0,0,0.000000," ","integrate((e*x)**m*uppergamma(p,d*(a+b*ln(c*x**n))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)"
203,0,0,0,0.000000," ","integrate((d*x+c)**3*lnuppergamma(b*x+a),x)","\int \left(c + d x\right)^{3} \operatorname{lnuppergamma}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**3*lnuppergamma(a + b*x), x)","F"
204,0,0,0,0.000000," ","integrate((d*x+c)**2*lnuppergamma(b*x+a),x)","\int \left(c + d x\right)^{2} \operatorname{lnuppergamma}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**2*lnuppergamma(a + b*x), x)","F"
205,0,0,0,0.000000," ","integrate((d*x+c)*lnuppergamma(b*x+a),x)","\int \left(c + d x\right) \operatorname{lnuppergamma}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)*lnuppergamma(a + b*x), x)","F"
206,0,0,0,0.000000," ","integrate(lnuppergamma(b*x+a),x)","\int \operatorname{lnuppergamma}{\left(a + b x \right)}\, dx"," ",0,"Integral(lnuppergamma(a + b*x), x)","F"
207,0,0,0,0.000000," ","integrate(lnuppergamma(b*x+a)/(d*x+c),x)","\int \frac{\operatorname{lnuppergamma}{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(lnuppergamma(a + b*x)/(c + d*x), x)","F"
208,0,0,0,0.000000," ","integrate(lnuppergamma(b*x+a)/(d*x+c)**2,x)","\int \frac{\operatorname{lnuppergamma}{\left(a + b x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(lnuppergamma(a + b*x)/(c + d*x)**2, x)","F"
209,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)*lnuppergamma(b*x+a),x)","\int \left(c + d x\right)^{\frac{3}{2}} \operatorname{lnuppergamma}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**(3/2)*lnuppergamma(a + b*x), x)","F"
210,0,0,0,0.000000," ","integrate(lnuppergamma(b*x+a)*(d*x+c)**(1/2),x)","\int \sqrt{c + d x} \operatorname{lnuppergamma}{\left(a + b x \right)}\, dx"," ",0,"Integral(sqrt(c + d*x)*lnuppergamma(a + b*x), x)","F"
211,0,0,0,0.000000," ","integrate(lnuppergamma(b*x+a)/(d*x+c)**(1/2),x)","\int \frac{\operatorname{lnuppergamma}{\left(a + b x \right)}}{\sqrt{c + d x}}\, dx"," ",0,"Integral(lnuppergamma(a + b*x)/sqrt(c + d*x), x)","F"
212,-2,0,0,0.000000," ","integrate((d*x+c)**2*ln(uppergamma(b*x+a)),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
213,-2,0,0,0.000000," ","integrate((d*x+c)*ln(uppergamma(b*x+a)),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
214,-2,0,0,0.000000," ","integrate(ln(uppergamma(b*x+a)),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
215,-2,0,0,0.000000," ","integrate(ln(uppergamma(b*x+a))/(d*x+c),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
216,-2,0,0,0.000000," ","integrate(ln(uppergamma(b*x+a))/(d*x+c)**2,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
217,0,0,0,0.000000," ","integrate((d*x+c)**m*Psi(n,b*x+a),x)","\int \left(c + d x\right)^{m} \Psi{\left(n,a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**m*Psi(n, a + b*x), x)","F"
218,0,0,0,0.000000," ","integrate((d*x+c)**3*Psi(n,b*x+a),x)","\int \left(c + d x\right)^{3} \Psi{\left(n,a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**3*Psi(n, a + b*x), x)","F"
219,0,0,0,0.000000," ","integrate((d*x+c)**2*Psi(n,b*x+a),x)","\int \left(c + d x\right)^{2} \Psi{\left(n,a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**2*Psi(n, a + b*x), x)","F"
220,0,0,0,0.000000," ","integrate((d*x+c)*Psi(n,b*x+a),x)","\int \left(c + d x\right) \Psi{\left(n,a + b x \right)}\, dx"," ",0,"Integral((c + d*x)*Psi(n, a + b*x), x)","F"
221,0,0,0,0.000000," ","integrate(Psi(n,b*x+a),x)","\int \Psi{\left(n,a + b x \right)}\, dx"," ",0,"Integral(Psi(n, a + b*x), x)","F"
222,0,0,0,0.000000," ","integrate(Psi(n,b*x+a)/(d*x+c),x)","\int \frac{\Psi{\left(n,a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(Psi(n, a + b*x)/(c + d*x), x)","F"
223,0,0,0,0.000000," ","integrate(Psi(n,b*x+a)/(d*x+c)**2,x)","\int \frac{\Psi{\left(n,a + b x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(Psi(n, a + b*x)/(c + d*x)**2, x)","F"
224,0,0,0,0.000000," ","integrate(Psi(n,b*x+a)/(d*x+c)**3,x)","\int \frac{\Psi{\left(n,a + b x \right)}}{\left(c + d x\right)^{3}}\, dx"," ",0,"Integral(Psi(n, a + b*x)/(c + d*x)**3, x)","F"
225,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)*Psi(n,b*x+a),x)","\int \left(c + d x\right)^{\frac{3}{2}} \Psi{\left(n,a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**(3/2)*Psi(n, a + b*x), x)","F"
226,0,0,0,0.000000," ","integrate((d*x+c)**(1/2)*Psi(n,b*x+a),x)","\int \sqrt{c + d x} \Psi{\left(n,a + b x \right)}\, dx"," ",0,"Integral(sqrt(c + d*x)*Psi(n, a + b*x), x)","F"
227,0,0,0,0.000000," ","integrate(Psi(n,b*x+a)/(d*x+c)**(1/2),x)","\int \frac{\Psi{\left(n,a + b x \right)}}{\sqrt{c + d x}}\, dx"," ",0,"Integral(Psi(n, a + b*x)/sqrt(c + d*x), x)","F"
228,0,0,0,0.000000," ","integrate(Psi(n,b*x+a)/(d*x+c)**(3/2),x)","\int \frac{\Psi{\left(n,a + b x \right)}}{\left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(Psi(n, a + b*x)/(c + d*x)**(3/2), x)","F"
229,0,0,0,0.000000," ","integrate(x**2*Psi(1,b*x+a),x)","\int x^{2} \Psi{\left(1,a + b x \right)}\, dx"," ",0,"Integral(x**2*Psi(1, a + b*x), x)","F"
230,0,0,0,0.000000," ","integrate(Psi(1,b*x+a)/x**2-b*Psi(2,b*x+a)/x,x)","- \int \left(- \frac{\Psi{\left(1,a + b x \right)}}{x^{2}}\right)\, dx - \int \frac{b \Psi{\left(2,a + b x \right)}}{x}\, dx"," ",0,"-Integral(-Psi(1, a + b*x)/x**2, x) - Integral(b*Psi(2, a + b*x)/x, x)","F"
231,0,0,0,0.000000," ","integrate(Psi(n,b*x+a)/x**2-b*Psi(1+n,b*x+a)/x,x)","- \int \left(- \frac{\Psi{\left(n,a + b x \right)}}{x^{2}}\right)\, dx - \int \frac{b \Psi{\left(n + 1,a + b x \right)}}{x}\, dx"," ",0,"-Integral(-Psi(n, a + b*x)/x**2, x) - Integral(b*Psi(n + 1, a + b*x)/x, x)","F"
232,-2,0,0,0.000000," ","integrate(uppergamma(b*x+a)**n*Psi(b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)"
233,0,0,0,0.000000," ","integrate((b*x+a)!**n*Psi(b*x+a+1),x)","\int \Psi{\left(a + b x + 1 \right)} \left(a + b x\right)!^{n}\, dx"," ",0,"Integral(Psi(a + b*x + 1)*factorial(a + b*x)**n, x)","F"
