1,0,-1,102,0.000000,"\text{Not used}","int((a + b*x + (b*f*x^2)/e)/(d + e*x + f*x^2)^(1/2),x)","\int \frac{a+b\,x+\frac{b\,f\,x^2}{e}}{\sqrt{f\,x^2+e\,x+d}} \,d x","Not used",1,"int((a + b*x + (b*f*x^2)/e)/(d + e*x + f*x^2)^(1/2), x)","F"
2,0,-1,82,0.000000,"\text{Not used}","int(1/((d + e*x + f*x^2)^(1/2)*(a + b*x + (b*f*x^2)/e)),x)","\int \frac{1}{\sqrt{f\,x^2+e\,x+d}\,\left(a+b\,x+\frac{b\,f\,x^2}{e}\right)} \,d x","Not used",1,"int(1/((d + e*x + f*x^2)^(1/2)*(a + b*x + (b*f*x^2)/e)), x)","F"
3,0,-1,66,0.000000,"\text{Not used}","int(1/((a + b*x + c*x^2)^(1/2)*(d + b*x + c*x^2)),x)","\int \frac{1}{\sqrt{c\,x^2+b\,x+a}\,\left(c\,x^2+b\,x+d\right)} \,d x","Not used",1,"int(1/((a + b*x + c*x^2)^(1/2)*(d + b*x + c*x^2)), x)","F"
4,0,-1,129,0.000000,"\text{Not used}","int(1/((a + b*x + c*x^2)^(1/2)*(d + b*x + c*x^2)^2),x)","\int \frac{1}{\sqrt{c\,x^2+b\,x+a}\,{\left(c\,x^2+b\,x+d\right)}^2} \,d x","Not used",1,"int(1/((a + b*x + c*x^2)^(1/2)*(d + b*x + c*x^2)^2), x)","F"
5,0,-1,224,0.000000,"\text{Not used}","int(1/((a + b*x + c*x^2)^(1/2)*(d + b*x + c*x^2)^3),x)","\int \frac{1}{\sqrt{c\,x^2+b\,x+a}\,{\left(c\,x^2+b\,x+d\right)}^3} \,d x","Not used",1,"int(1/((a + b*x + c*x^2)^(1/2)*(d + b*x + c*x^2)^3), x)","F"
6,0,-1,328,0.000000,"\text{Not used}","int(1/((a + b*x + c*x^2)^(1/2)*(d + b*x + c*x^2)^4),x)","\int \frac{1}{\sqrt{c\,x^2+b\,x+a}\,{\left(c\,x^2+b\,x+d\right)}^4} \,d x","Not used",1,"int(1/((a + b*x + c*x^2)^(1/2)*(d + b*x + c*x^2)^4), x)","F"
7,0,-1,162,0.000000,"\text{Not used}","int(1/((a*e + b*e*x + b*f*x^2)^2*(d + e*x + f*x^2)^(1/2)),x)","\int \frac{1}{{\left(b\,f\,x^2+b\,e\,x+a\,e\right)}^2\,\sqrt{f\,x^2+e\,x+d}} \,d x","Not used",1,"int(1/((a*e + b*e*x + b*f*x^2)^2*(d + e*x + f*x^2)^(1/2)), x)","F"
8,0,-1,28,0.000000,"\text{Not used}","int(1/((2*x + x^2 + 4)*(2*x + x^2 + 5)^(1/2)),x)","\int \frac{1}{\left(x^2+2\,x+4\right)\,\sqrt{x^2+2\,x+5}} \,d x","Not used",1,"int(1/((2*x + x^2 + 4)*(2*x + x^2 + 5)^(1/2)), x)","F"
9,0,-1,136,0.000000,"\text{Not used}","int((a + (e*x)/2 + c*x^2)^p*(2*a + e*x + 2*c*x^2)^q,x)","\int {\left(c\,x^2+\frac{e\,x}{2}+a\right)}^p\,{\left(2\,c\,x^2+e\,x+2\,a\right)}^q \,d x","Not used",1,"int((a + (e*x)/2 + c*x^2)^p*(2*a + e*x + 2*c*x^2)^q, x)","F"
10,0,-1,200,0.000000,"\text{Not used}","int((e*x + f*x^2 + (a*f)/c)^q*(a + c*x^2 + (c*e*x)/f)^p,x)","\int {\left(e\,x+f\,x^2+\frac{a\,f}{c}\right)}^q\,{\left(a+c\,x^2+\frac{c\,e\,x}{f}\right)}^p \,d x","Not used",1,"int((e*x + f*x^2 + (a*f)/c)^q*(a + c*x^2 + (c*e*x)/f)^p, x)","F"
11,0,-1,48,0.000000,"\text{Not used}","int(((x + 1)^2)^(1/2)/(x^2 + 1)^(1/2),x)","\int \frac{\sqrt{{\left(x+1\right)}^2}}{\sqrt{x^2+1}} \,d x","Not used",1,"int(((x + 1)^2)^(1/2)/(x^2 + 1)^(1/2), x)","F"
12,0,-1,70,0.000000,"\text{Not used}","int(1/((x^2 - 1)^2*(x + x^2 - 1)^(1/2)),x)","\int \frac{1}{{\left(x^2-1\right)}^2\,\sqrt{x^2+x-1}} \,d x","Not used",1,"int(1/((x^2 - 1)^2*(x + x^2 - 1)^(1/2)), x)","F"
13,0,-1,1077,0.000000,"\text{Not used}","int(1/((d + f*x^2)^(1/2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{1}{\sqrt{f\,x^2+d}\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(1/((d + f*x^2)^(1/2)*(a + b*x + c*x^2)^(1/2)), x)","F"
14,0,-1,98,0.000000,"\text{Not used}","int((- 4*x - x^2 - 3)^(1/2)/(4*x + 2*x^2 + 3),x)","\int \frac{\sqrt{-x^2-4\,x-3}}{2\,x^2+4\,x+3} \,d x","Not used",1,"int((- 4*x - x^2 - 3)^(1/2)/(4*x + 2*x^2 + 3), x)","F"
15,1,54,68,0.062199,"\text{Not used}","int((2*x^2 - x + 3)*(3*x + 5*x^2 + 2)^4,x)","\frac{1250\,x^{11}}{11}+\frac{475\,x^{10}}{2}+\frac{5075\,x^9}{9}+\frac{3415\,x^8}{4}+1176\,x^7+\frac{2377\,x^6}{2}+\frac{5099\,x^5}{5}+656\,x^4+\frac{1064\,x^3}{3}+136\,x^2+48\,x","Not used",1,"48*x + 136*x^2 + (1064*x^3)/3 + 656*x^4 + (5099*x^5)/5 + (2377*x^6)/2 + 1176*x^7 + (3415*x^8)/4 + (5075*x^9)/9 + (475*x^10)/2 + (1250*x^11)/11","B"
16,1,44,56,0.034011,"\text{Not used}","int((2*x^2 - x + 3)*(3*x + 5*x^2 + 2)^3,x)","\frac{250\,x^9}{9}+\frac{325\,x^8}{8}+\frac{720\,x^7}{7}+134\,x^6+\frac{876\,x^5}{5}+\frac{579\,x^4}{4}+\frac{322\,x^3}{3}+50\,x^2+24\,x","Not used",1,"24*x + 50*x^2 + (322*x^3)/3 + (579*x^4)/4 + (876*x^5)/5 + 134*x^6 + (720*x^7)/7 + (325*x^8)/8 + (250*x^9)/9","B"
17,1,34,44,0.025098,"\text{Not used}","int((2*x^2 - x + 3)*(3*x + 5*x^2 + 2)^2,x)","\frac{50\,x^7}{7}+\frac{35\,x^6}{6}+\frac{103\,x^5}{5}+\frac{85\,x^4}{4}+\frac{83\,x^3}{3}+16\,x^2+12\,x","Not used",1,"12*x + 16*x^2 + (83*x^3)/3 + (85*x^4)/4 + (103*x^5)/5 + (35*x^6)/6 + (50*x^7)/7","B"
18,1,24,30,0.022517,"\text{Not used}","int((2*x^2 - x + 3)*(3*x + 5*x^2 + 2),x)","2\,x^5+\frac{x^4}{4}+\frac{16\,x^3}{3}+\frac{7\,x^2}{2}+6\,x","Not used",1,"6*x + (7*x^2)/2 + (16*x^3)/3 + x^4/4 + 2*x^5","B"
19,1,35,42,3.393091,"\text{Not used}","int((2*x^2 - x + 3)/(3*x + 5*x^2 + 2),x)","\frac{2\,x}{5}-\frac{11\,\ln\left(5\,x^2+3\,x+2\right)}{50}+\frac{143\,\sqrt{31}\,\mathrm{atan}\left(\frac{10\,\sqrt{31}\,x}{31}+\frac{3\,\sqrt{31}}{31}\right)}{775}","Not used",1,"(2*x)/5 - (11*log(3*x + 5*x^2 + 2))/50 + (143*31^(1/2)*atan((10*31^(1/2)*x)/31 + (3*31^(1/2))/31))/775","B"
20,1,35,43,0.038468,"\text{Not used}","int((2*x^2 - x + 3)/(3*x + 5*x^2 + 2)^2,x)","\frac{\frac{143\,x}{775}+\frac{77}{775}}{x^2+\frac{3\,x}{5}+\frac{2}{5}}+\frac{82\,\sqrt{31}\,\mathrm{atan}\left(\frac{10\,\sqrt{31}\,x}{31}+\frac{3\,\sqrt{31}}{31}\right)}{961}","Not used",1,"((143*x)/775 + 77/775)/((3*x)/5 + x^2 + 2/5) + (82*31^(1/2)*atan((10*31^(1/2)*x)/31 + (3*31^(1/2))/31))/961","B"
21,1,55,64,0.048702,"\text{Not used}","int((2*x^2 - x + 3)/(3*x + 5*x^2 + 2)^3,x)","\frac{1106\,\sqrt{31}\,\mathrm{atan}\left(\frac{10\,\sqrt{31}\,x}{31}+\frac{3\,\sqrt{31}}{31}\right)}{29791}+\frac{\frac{553\,x^3}{4805}+\frac{4977\,x^2}{48050}+\frac{2047\,x}{24025}+\frac{1141}{48050}}{x^4+\frac{6\,x^3}{5}+\frac{29\,x^2}{25}+\frac{12\,x}{25}+\frac{4}{25}}","Not used",1,"(1106*31^(1/2)*atan((10*31^(1/2)*x)/31 + (3*31^(1/2))/31))/29791 + ((2047*x)/24025 + (4977*x^2)/48050 + (553*x^3)/4805 + 1141/48050)/((12*x)/25 + (29*x^2)/25 + (6*x^3)/5 + x^4 + 4/25)","B"
22,1,64,80,0.084757,"\text{Not used}","int((2*x^2 - x + 3)^2*(3*x + 5*x^2 + 2)^4,x)","\frac{2500\,x^{13}}{13}+\frac{875\,x^{12}}{3}+\frac{11525\,x^{11}}{11}+1571\,x^{10}+\frac{24859\,x^9}{9}+3315\,x^8+\frac{27763\,x^7}{7}+\frac{10771\,x^6}{3}+\frac{14801\,x^5}{5}+1838\,x^4+\frac{3016\,x^3}{3}+384\,x^2+144\,x","Not used",1,"144*x + 384*x^2 + (3016*x^3)/3 + 1838*x^4 + (14801*x^5)/5 + (10771*x^6)/3 + (27763*x^7)/7 + 3315*x^8 + (24859*x^9)/9 + 1571*x^10 + (11525*x^11)/11 + (875*x^12)/3 + (2500*x^13)/13","B"
23,1,54,66,0.054254,"\text{Not used}","int((2*x^2 - x + 3)^2*(3*x + 5*x^2 + 2)^3,x)","\frac{500\,x^{11}}{11}+40\,x^{10}+\frac{1865\,x^9}{9}+\frac{1863\,x^8}{8}+444\,x^7+449\,x^6+\frac{2693\,x^5}{5}+\frac{1615\,x^4}{4}+\frac{914\,x^3}{3}+138\,x^2+72\,x","Not used",1,"72*x + 138*x^2 + (914*x^3)/3 + (1615*x^4)/4 + (2693*x^5)/5 + 449*x^6 + 444*x^7 + (1863*x^8)/8 + (1865*x^9)/9 + 40*x^10 + (500*x^11)/11","B"
24,1,44,54,0.033759,"\text{Not used}","int((2*x^2 - x + 3)^2*(3*x + 5*x^2 + 2)^2,x)","\frac{100\,x^9}{9}+\frac{5\,x^8}{2}+\frac{321\,x^7}{7}+\frac{86\,x^6}{3}+78\,x^5+59\,x^4+\frac{241\,x^3}{3}+42\,x^2+36\,x","Not used",1,"36*x + 42*x^2 + (241*x^3)/3 + 59*x^4 + 78*x^5 + (86*x^6)/3 + (321*x^7)/7 + (5*x^8)/2 + (100*x^9)/9","B"
25,1,34,46,0.025094,"\text{Not used}","int((2*x^2 - x + 3)^2*(3*x + 5*x^2 + 2),x)","\frac{20\,x^7}{7}-\frac{4\,x^6}{3}+\frac{61\,x^5}{5}+\frac{x^4}{4}+\frac{53\,x^3}{3}+\frac{15\,x^2}{2}+18\,x","Not used",1,"18*x + (15*x^2)/2 + (53*x^3)/3 + x^4/4 + (61*x^5)/5 - (4*x^6)/3 + (20*x^7)/7","B"
26,1,45,56,3.449133,"\text{Not used}","int((2*x^2 - x + 3)^2/(3*x + 5*x^2 + 2),x)","\frac{381\,x}{125}-\frac{1573\,\ln\left(5\,x^2+3\,x+2\right)}{1250}+\frac{8349\,\sqrt{31}\,\mathrm{atan}\left(\frac{10\,\sqrt{31}\,x}{31}+\frac{3\,\sqrt{31}}{31}\right)}{19375}-\frac{16\,x^2}{25}+\frac{4\,x^3}{15}","Not used",1,"(381*x)/125 - (1573*log(3*x + 5*x^2 + 2))/1250 + (8349*31^(1/2)*atan((10*31^(1/2)*x)/31 + (3*31^(1/2))/31))/19375 - (16*x^2)/25 + (4*x^3)/15","B"
27,1,51,63,0.049771,"\text{Not used}","int((2*x^2 - x + 3)^2/(3*x + 5*x^2 + 2)^2,x)","\frac{4\,x}{25}-\frac{22\,\ln\left(5\,x^2+3\,x+2\right)}{125}+\frac{\frac{8349\,x}{19375}+\frac{7381}{19375}}{x^2+\frac{3\,x}{5}+\frac{2}{5}}+\frac{41932\,\sqrt{31}\,\mathrm{atan}\left(\frac{10\,\sqrt{31}\,x}{31}+\frac{3\,\sqrt{31}}{31}\right)}{120125}","Not used",1,"(4*x)/25 - (22*log(3*x + 5*x^2 + 2))/125 + ((8349*x)/19375 + 7381/19375)/((3*x)/5 + x^2 + 2/5) + (41932*31^(1/2)*atan((10*31^(1/2)*x)/31 + (3*31^(1/2))/31))/120125","B"
28,1,55,64,3.442005,"\text{Not used}","int((2*x^2 - x + 3)^2/(3*x + 5*x^2 + 2)^3,x)","\frac{4330\,\sqrt{31}\,\mathrm{atan}\left(\frac{10\,\sqrt{31}\,x}{31}+\frac{3\,\sqrt{31}}{31}\right)}{29791}+\frac{\frac{50281\,x^3}{120125}+\frac{494813\,x^2}{1201250}+\frac{184382\,x}{600625}+\frac{123013}{1201250}}{x^4+\frac{6\,x^3}{5}+\frac{29\,x^2}{25}+\frac{12\,x}{25}+\frac{4}{25}}","Not used",1,"(4330*31^(1/2)*atan((10*31^(1/2)*x)/31 + (3*31^(1/2))/31))/29791 + ((184382*x)/600625 + (494813*x^2)/1201250 + (50281*x^3)/120125 + 123013/1201250)/((12*x)/25 + (29*x^2)/25 + (6*x^3)/5 + x^4 + 4/25)","B"
29,1,75,85,3.467743,"\text{Not used}","int((2*x^2 - x + 3)^2/(3*x + 5*x^2 + 2)^4,x)","\frac{66752\,\sqrt{31}\,\mathrm{atan}\left(\frac{10\,\sqrt{31}\,x}{31}+\frac{3\,\sqrt{31}}{31}\right)}{923521}+\frac{\frac{33376\,x^5}{148955}+\frac{50064\,x^4}{148955}+\frac{7163932\,x^3}{18619375}+\frac{4260199\,x^2}{18619375}+\frac{1891636\,x}{18619375}+\frac{1259239}{55858125}}{x^6+\frac{9\,x^5}{5}+\frac{57\,x^4}{25}+\frac{207\,x^3}{125}+\frac{114\,x^2}{125}+\frac{36\,x}{125}+\frac{8}{125}}","Not used",1,"(66752*31^(1/2)*atan((10*31^(1/2)*x)/31 + (3*31^(1/2))/31))/923521 + ((1891636*x)/18619375 + (4260199*x^2)/18619375 + (7163932*x^3)/18619375 + (50064*x^4)/148955 + (33376*x^5)/148955 + 1259239/55858125)/((36*x)/125 + (114*x^2)/125 + (207*x^3)/125 + (57*x^4)/25 + (9*x^5)/5 + x^6 + 8/125)","B"
30,1,74,96,0.120922,"\text{Not used}","int((2*x^2 - x + 3)^3*(3*x + 5*x^2 + 2)^4,x)","\frac{1000\,x^{15}}{3}+\frac{2250\,x^{14}}{7}+\frac{27050\,x^{13}}{13}+\frac{30395\,x^{12}}{12}+\frac{68583\,x^{11}}{11}+\frac{75311\,x^{10}}{10}+\frac{103583\,x^9}{9}+\frac{94881\,x^8}{8}+\frac{91349\,x^7}{7}+\frac{64529\,x^6}{6}+\frac{43083\,x^5}{5}+5144\,x^4+2856\,x^3+1080\,x^2+432\,x","Not used",1,"432*x + 1080*x^2 + 2856*x^3 + 5144*x^4 + (43083*x^5)/5 + (64529*x^6)/6 + (91349*x^7)/7 + (94881*x^8)/8 + (103583*x^9)/9 + (75311*x^10)/10 + (68583*x^11)/11 + (30395*x^12)/12 + (27050*x^13)/13 + (2250*x^14)/7 + (1000*x^15)/3","B"
31,1,64,82,0.081048,"\text{Not used}","int((2*x^2 - x + 3)^3*(3*x + 5*x^2 + 2)^3,x)","\frac{1000\,x^{13}}{13}+25\,x^{12}+\frac{4830\,x^{11}}{11}+\frac{3061\,x^{10}}{10}+\frac{3316\,x^9}{3}+\frac{7869\,x^8}{8}+\frac{12016\,x^7}{7}+\frac{2873\,x^6}{2}+\frac{8292\,x^5}{5}+\frac{4483\,x^4}{4}+870\,x^3+378\,x^2+216\,x","Not used",1,"216*x + 378*x^2 + 870*x^3 + (4483*x^4)/4 + (8292*x^5)/5 + (2873*x^6)/2 + (12016*x^7)/7 + (7869*x^8)/8 + (3316*x^9)/3 + (3061*x^10)/10 + (4830*x^11)/11 + 25*x^12 + (1000*x^13)/13","B"
32,1,54,68,0.054408,"\text{Not used}","int((2*x^2 - x + 3)^3*(3*x + 5*x^2 + 2)^2,x)","\frac{200\,x^{11}}{11}-6\,x^{10}+\frac{922\,x^9}{9}+\frac{83\,x^8}{8}+\frac{1571\,x^7}{7}+\frac{299\,x^6}{3}+\frac{1416\,x^5}{5}+\frac{635\,x^4}{4}+237\,x^3+108\,x^2+108\,x","Not used",1,"108*x + 108*x^2 + 237*x^3 + (635*x^4)/4 + (1416*x^5)/5 + (299*x^6)/3 + (1571*x^7)/7 + (83*x^8)/8 + (922*x^9)/9 - 6*x^10 + (200*x^11)/11","B"
33,1,44,56,0.033481,"\text{Not used}","int((2*x^2 - x + 3)^3*(3*x + 5*x^2 + 2),x)","\frac{40\,x^9}{9}-\frac{9\,x^8}{2}+\frac{190\,x^7}{7}-\frac{83\,x^6}{6}+\frac{288\,x^5}{5}-5\,x^4+60\,x^3+\frac{27\,x^2}{2}+54\,x","Not used",1,"54*x + (27*x^2)/2 + 60*x^3 - 5*x^4 + (288*x^5)/5 - (83*x^6)/6 + (190*x^7)/7 - (9*x^8)/2 + (40*x^9)/9","B"
34,1,55,70,0.043368,"\text{Not used}","int((2*x^2 - x + 3)^3/(3*x + 5*x^2 + 2),x)","\frac{49508\,x}{3125}-\frac{158389\,\ln\left(5\,x^2+3\,x+2\right)}{31250}+\frac{328757\,\sqrt{31}\,\mathrm{atan}\left(\frac{10\,\sqrt{31}\,x}{31}+\frac{3\,\sqrt{31}}{31}\right)}{484375}-\frac{7451\,x^2}{1250}+\frac{1222\,x^3}{375}-\frac{21\,x^4}{25}+\frac{8\,x^5}{25}","Not used",1,"(49508*x)/3125 - (158389*log(3*x + 5*x^2 + 2))/31250 + (328757*31^(1/2)*atan((10*31^(1/2)*x)/31 + (3*31^(1/2))/31))/484375 - (7451*x^2)/1250 + (1222*x^3)/375 - (21*x^4)/25 + (8*x^5)/25","B"
35,1,61,77,3.431049,"\text{Not used}","int((2*x^2 - x + 3)^3/(3*x + 5*x^2 + 2)^2,x)","\frac{1466\,x}{625}-\frac{10769\,\ln\left(5\,x^2+3\,x+2\right)}{6250}+\frac{\frac{328757\,x}{484375}+\frac{589633}{484375}}{x^2+\frac{3\,x}{5}+\frac{2}{5}}+\frac{3819607\,\sqrt{31}\,\mathrm{atan}\left(\frac{10\,\sqrt{31}\,x}{31}+\frac{3\,\sqrt{31}}{31}\right)}{3003125}-\frac{54\,x^2}{125}+\frac{8\,x^3}{75}","Not used",1,"(1466*x)/625 - (10769*log(3*x + 5*x^2 + 2))/6250 + ((328757*x)/484375 + 589633/484375)/((3*x)/5 + x^2 + 2/5) + (3819607*31^(1/2)*atan((10*31^(1/2)*x)/31 + (3*31^(1/2))/31))/3003125 - (54*x^2)/125 + (8*x^3)/75","B"
36,1,71,84,3.426092,"\text{Not used}","int((2*x^2 - x + 3)^3/(3*x + 5*x^2 + 2)^3,x)","\frac{8\,x}{125}-\frac{66\,\ln\left(5\,x^2+3\,x+2\right)}{625}+\frac{11341176\,\sqrt{31}\,\mathrm{atan}\left(\frac{10\,\sqrt{31}\,x}{31}+\frac{3\,\sqrt{31}}{31}\right)}{18619375}+\frac{\frac{4148364\,x^3}{3003125}+\frac{9536857\,x^2}{6006250}+\frac{3230821\,x}{3003125}+\frac{2554673}{6006250}}{x^4+\frac{6\,x^3}{5}+\frac{29\,x^2}{25}+\frac{12\,x}{25}+\frac{4}{25}}","Not used",1,"(8*x)/125 - (66*log(3*x + 5*x^2 + 2))/625 + (11341176*31^(1/2)*atan((10*31^(1/2)*x)/31 + (3*31^(1/2))/31))/18619375 + ((3230821*x)/3003125 + (9536857*x^2)/6006250 + (4148364*x^3)/3003125 + 2554673/6006250)/((12*x)/25 + (29*x^2)/25 + (6*x^3)/5 + x^4 + 4/25)","B"
37,1,65,84,3.441470,"\text{Not used}","int((3*x + 5*x^2 + 2)^4/(2*x^2 - x + 3),x)","\frac{122691\,x}{128}+\frac{307461\,\ln\left(2\,x^2-x+3\right)}{512}-\frac{1156639\,\sqrt{23}\,\mathrm{atan}\left(\frac{4\,\sqrt{23}\,x}{23}-\frac{\sqrt{23}}{23}\right)}{5888}-\frac{28747\,x^2}{128}-\frac{21229\,x^3}{96}+\frac{6245\,x^4}{64}+\frac{1855\,x^5}{8}+\frac{3625\,x^6}{24}+\frac{625\,x^7}{14}","Not used",1,"(122691*x)/128 + (307461*log(2*x^2 - x + 3))/512 - (1156639*23^(1/2)*atan((4*23^(1/2)*x)/23 - 23^(1/2)/23))/5888 - (28747*x^2)/128 - (21229*x^3)/96 + (6245*x^4)/64 + (1855*x^5)/8 + (3625*x^6)/24 + (625*x^7)/14","B"
38,1,55,70,0.041983,"\text{Not used}","int((3*x + 5*x^2 + 2)^3/(2*x^2 - x + 3),x)","\frac{1331\,\ln\left(2\,x^2-x+3\right)}{128}-\frac{4795\,x}{32}+\frac{59895\,\sqrt{23}\,\mathrm{atan}\left(\frac{4\,\sqrt{23}\,x}{23}-\frac{\sqrt{23}}{23}\right)}{1472}-\frac{829\,x^2}{32}+\frac{965\,x^3}{24}+\frac{575\,x^4}{16}+\frac{25\,x^5}{2}","Not used",1,"(1331*log(2*x^2 - x + 3))/128 - (4795*x)/32 + (59895*23^(1/2)*atan((4*23^(1/2)*x)/23 - 23^(1/2)/23))/1472 - (829*x^2)/32 + (965*x^3)/24 + (575*x^4)/16 + (25*x^5)/2","B"
39,1,45,56,3.444804,"\text{Not used}","int((3*x + 5*x^2 + 2)^2/(2*x^2 - x + 3),x)","\frac{51\,x}{8}-\frac{363\,\ln\left(2\,x^2-x+3\right)}{32}-\frac{847\,\sqrt{23}\,\mathrm{atan}\left(\frac{4\,\sqrt{23}\,x}{23}-\frac{\sqrt{23}}{23}\right)}{368}+\frac{85\,x^2}{8}+\frac{25\,x^3}{6}","Not used",1,"(51*x)/8 - (363*log(2*x^2 - x + 3))/32 - (847*23^(1/2)*atan((4*23^(1/2)*x)/23 - 23^(1/2)/23))/368 + (85*x^2)/8 + (25*x^3)/6","B"
40,1,35,42,0.039221,"\text{Not used}","int((3*x + 5*x^2 + 2)/(2*x^2 - x + 3),x)","\frac{5\,x}{2}+\frac{11\,\ln\left(2\,x^2-x+3\right)}{8}-\frac{33\,\sqrt{23}\,\mathrm{atan}\left(\frac{4\,\sqrt{23}\,x}{23}-\frac{\sqrt{23}}{23}\right)}{92}","Not used",1,"(5*x)/2 + (11*log(2*x^2 - x + 3))/8 - (33*23^(1/2)*atan((4*23^(1/2)*x)/23 - 23^(1/2)/23))/92","B"
41,1,79,73,0.186694,"\text{Not used}","int(1/((2*x^2 - x + 3)*(3*x + 5*x^2 + 2)),x)","\ln\left(x-\frac{1}{4}-\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{1}{44}+\frac{\sqrt{23}\,3{}\mathrm{i}}{1012}\right)-\ln\left(x-\frac{1}{4}+\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{1}{44}+\frac{\sqrt{23}\,3{}\mathrm{i}}{1012}\right)-\ln\left(x+\frac{3}{10}-\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(-\frac{1}{44}+\frac{\sqrt{31}\,13{}\mathrm{i}}{1364}\right)+\ln\left(x+\frac{3}{10}+\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(\frac{1}{44}+\frac{\sqrt{31}\,13{}\mathrm{i}}{1364}\right)","Not used",1,"log(x - (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*3i)/1012 - 1/44) - log(x + (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*3i)/1012 + 1/44) - log(x - (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*13i)/1364 - 1/44) + log(x + (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*13i)/1364 + 1/44)","B"
42,1,95,94,3.567472,"\text{Not used}","int(1/((2*x^2 - x + 3)*(3*x + 5*x^2 + 2)^2),x)","\frac{\frac{13\,x}{682}+\frac{2}{1705}}{x^2+\frac{3\,x}{5}+\frac{2}{5}}+\ln\left(x-\frac{1}{4}-\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{3}{968}+\frac{\sqrt{23}\,7{}\mathrm{i}}{22264}\right)-\ln\left(x-\frac{1}{4}+\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{3}{968}+\frac{\sqrt{23}\,7{}\mathrm{i}}{22264}\right)-\ln\left(x+\frac{3}{10}-\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(\frac{3}{968}+\frac{\sqrt{31}\,2891{}\mathrm{i}}{930248}\right)+\ln\left(x+\frac{3}{10}+\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(-\frac{3}{968}+\frac{\sqrt{31}\,2891{}\mathrm{i}}{930248}\right)","Not used",1,"((13*x)/682 + 2/1705)/((3*x)/5 + x^2 + 2/5) + log(x - (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*7i)/22264 + 3/968) - log(x + (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*7i)/22264 - 3/968) - log(x - (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*2891i)/930248 + 3/968) + log(x + (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*2891i)/930248 - 3/968)","B"
43,1,115,115,0.178844,"\text{Not used}","int(1/((2*x^2 - x + 3)*(3*x + 5*x^2 + 2)^3),x)","\frac{\frac{4321\,x^3}{465124}+\frac{10443\,x^2}{1162810}+\frac{2026\,x}{264275}+\frac{1721}{1162810}}{x^4+\frac{6\,x^3}{5}+\frac{29\,x^2}{25}+\frac{12\,x}{25}+\frac{4}{25}}+\ln\left(x-\frac{1}{4}+\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{1}{21296}+\frac{\sqrt{23}\,45{}\mathrm{i}}{489808}\right)-\ln\left(x+\frac{3}{10}-\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(-\frac{1}{21296}+\frac{\sqrt{31}\,847793{}\mathrm{i}}{634429136}\right)+\ln\left(x+\frac{3}{10}+\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(\frac{1}{21296}+\frac{\sqrt{31}\,847793{}\mathrm{i}}{634429136}\right)-\ln\left(x-\frac{1}{4}-\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{1}{21296}+\frac{\sqrt{23}\,45{}\mathrm{i}}{489808}\right)","Not used",1,"log(x + (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*45i)/489808 - 1/21296) - log(x - (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*45i)/489808 + 1/21296) - log(x - (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*847793i)/634429136 - 1/21296) + log(x + (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*847793i)/634429136 + 1/21296) + ((2026*x)/264275 + (10443*x^2)/1162810 + (4321*x^3)/465124 + 1721/1162810)/((12*x)/25 + (29*x^2)/25 + (6*x^3)/5 + x^4 + 4/25)","B"
44,1,72,91,3.462014,"\text{Not used}","int((3*x + 5*x^2 + 2)^4/(2*x^2 - x + 3)^2,x)","\frac{13292697\,\sqrt{23}\,\mathrm{atan}\left(\frac{4\,\sqrt{23}\,x}{23}-\frac{\sqrt{23}}{23}\right)}{33856}-\frac{30613\,\ln\left(2\,x^2-x+3\right)}{128}-\frac{\frac{1156639\,x}{5888}+\frac{1478741}{5888}}{x^2-\frac{x}{2}+\frac{3}{2}}-\frac{89359\,x}{64}-\frac{1185\,x^2}{8}+\frac{9775\,x^3}{48}+\frac{2125\,x^4}{16}+\frac{125\,x^5}{4}","Not used",1,"(13292697*23^(1/2)*atan((4*23^(1/2)*x)/23 - 23^(1/2)/23))/33856 - (30613*log(2*x^2 - x + 3))/128 - ((1156639*x)/5888 + 1478741/5888)/(x^2 - x/2 + 3/2) - (89359*x)/64 - (1185*x^2)/8 + (9775*x^3)/48 + (2125*x^4)/16 + (125*x^5)/4","B"
45,1,61,77,3.423795,"\text{Not used}","int((3*x + 5*x^2 + 2)^3/(2*x^2 - x + 3)^2,x)","\frac{915\,x}{16}-\frac{2057\,\ln\left(2\,x^2-x+3\right)}{32}+\frac{\frac{59895\,x}{1472}-\frac{22627}{1472}}{x^2-\frac{x}{2}+\frac{3}{2}}-\frac{223971\,\sqrt{23}\,\mathrm{atan}\left(\frac{4\,\sqrt{23}\,x}{23}-\frac{\sqrt{23}}{23}\right)}{8464}+\frac{175\,x^2}{4}+\frac{125\,x^3}{12}","Not used",1,"(915*x)/16 - (2057*log(2*x^2 - x + 3))/32 + ((59895*x)/1472 - 22627/1472)/(x^2 - x/2 + 3/2) - (223971*23^(1/2)*atan((4*23^(1/2)*x)/23 - 23^(1/2)/23))/8464 + (175*x^2)/4 + (125*x^3)/12","B"
46,1,52,63,3.404467,"\text{Not used}","int((3*x + 5*x^2 + 2)^2/(2*x^2 - x + 3)^2,x)","\frac{25\,x}{4}+\frac{55\,\ln\left(2\,x^2-x+3\right)}{8}-\frac{\frac{847\,x}{368}-\frac{2299}{368}}{x^2-\frac{x}{2}+\frac{3}{2}}-\frac{1859\,\sqrt{23}\,\mathrm{atan}\left(\frac{4\,\sqrt{23}\,x}{23}-\frac{\sqrt{23}}{23}\right)}{2116}","Not used",1,"(25*x)/4 + (55*log(2*x^2 - x + 3))/8 - ((847*x)/368 - 2299/368)/(x^2 - x/2 + 3/2) - (1859*23^(1/2)*atan((4*23^(1/2)*x)/23 - 23^(1/2)/23))/2116","B"
47,1,36,43,0.040026,"\text{Not used}","int((3*x + 5*x^2 + 2)/(2*x^2 - x + 3)^2,x)","\frac{82\,\sqrt{23}\,\mathrm{atan}\left(\frac{4\,\sqrt{23}\,x}{23}-\frac{\sqrt{23}}{23}\right)}{529}-\frac{\frac{33\,x}{92}+\frac{55}{92}}{x^2-\frac{x}{2}+\frac{3}{2}}","Not used",1,"(82*23^(1/2)*atan((4*23^(1/2)*x)/23 - 23^(1/2)/23))/529 - ((33*x)/92 + 55/92)/(x^2 - x/2 + 3/2)","B"
48,1,96,94,3.577529,"\text{Not used}","int(1/((2*x^2 - x + 3)^2*(3*x + 5*x^2 + 2)),x)","-\frac{\frac{3\,x}{506}-\frac{13}{1012}}{x^2-\frac{x}{2}+\frac{3}{2}}-\ln\left(x+\frac{3}{10}-\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(-\frac{13}{968}+\frac{\sqrt{31}\,69{}\mathrm{i}}{30008}\right)+\ln\left(x+\frac{3}{10}+\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(\frac{13}{968}+\frac{\sqrt{31}\,69{}\mathrm{i}}{30008}\right)+\ln\left(x-\frac{1}{4}-\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{13}{968}+\frac{\sqrt{23}\,241{}\mathrm{i}}{512072}\right)-\ln\left(x-\frac{1}{4}+\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{13}{968}+\frac{\sqrt{23}\,241{}\mathrm{i}}{512072}\right)","Not used",1,"log(x + (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*69i)/30008 + 13/968) - log(x - (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*69i)/30008 - 13/968) - ((3*x)/506 - 13/1012)/(x^2 - x/2 + 3/2) + log(x - (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*241i)/512072 - 13/968) - log(x + (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*241i)/512072 + 13/968)","B"
49,1,115,127,0.177239,"\text{Not used}","int(1/((2*x^2 - x + 3)^2*(3*x + 5*x^2 + 2)^2),x)","\ln\left(x-\frac{1}{4}-\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{19}{10648}+\frac{\sqrt{23}\,2769{}\mathrm{i}}{5632792}\right)-\ln\left(x-\frac{1}{4}+\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{19}{10648}+\frac{\sqrt{23}\,2769{}\mathrm{i}}{5632792}\right)-\ln\left(x+\frac{3}{10}-\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(\frac{19}{10648}+\frac{\sqrt{31}\,12643{}\mathrm{i}}{10232728}\right)+\ln\left(x+\frac{3}{10}+\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(-\frac{19}{10648}+\frac{\sqrt{31}\,12643{}\mathrm{i}}{10232728}\right)+\frac{\frac{685\,x^3}{172546}-\frac{1855\,x^2}{345092}+\frac{507\,x}{78430}-\frac{2171}{862730}}{x^4+\frac{x^3}{10}+\frac{8\,x^2}{5}+\frac{7\,x}{10}+\frac{3}{5}}","Not used",1,"log(x - (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*2769i)/5632792 + 19/10648) - log(x + (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*2769i)/5632792 - 19/10648) - log(x - (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*12643i)/10232728 + 19/10648) + log(x + (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*12643i)/10232728 - 19/10648) + ((507*x)/78430 - (1855*x^2)/345092 + (685*x^3)/172546 - 2171/862730)/((7*x)/10 + (8*x^2)/5 + x^3/10 + x^4 + 3/5)","B"
50,1,135,148,3.585967,"\text{Not used}","int(1/((2*x^2 - x + 3)^2*(3*x + 5*x^2 + 2)^3),x)","\frac{\frac{799393\,x^5}{235352744}+\frac{4330591\,x^4}{2353527440}+\frac{69648769\,x^3}{11767637200}+\frac{23910151\,x^2}{5883818600}+\frac{1066723\,x}{294190930}+\frac{158567}{267446300}}{x^6+\frac{7\,x^5}{10}+\frac{103\,x^4}{50}+\frac{17\,x^3}{10}+\frac{83\,x^2}{50}+\frac{16\,x}{25}+\frac{6}{25}}+\ln\left(x-\frac{1}{4}+\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{97}{468512}+\frac{\sqrt{23}\,25557{}\mathrm{i}}{247842848}\right)-\ln\left(x-\frac{1}{4}-\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{97}{468512}+\frac{\sqrt{23}\,25557{}\mathrm{i}}{247842848}\right)-\ln\left(x+\frac{3}{10}-\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(\frac{97}{468512}+\frac{\sqrt{31}\,4464079{}\mathrm{i}}{13957440992}\right)+\ln\left(x+\frac{3}{10}+\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(-\frac{97}{468512}+\frac{\sqrt{31}\,4464079{}\mathrm{i}}{13957440992}\right)","Not used",1,"log(x + (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*25557i)/247842848 + 97/468512) - log(x - (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*25557i)/247842848 - 97/468512) + ((1066723*x)/294190930 + (23910151*x^2)/5883818600 + (69648769*x^3)/11767637200 + (4330591*x^4)/2353527440 + (799393*x^5)/235352744 + 158567/267446300)/((16*x)/25 + (83*x^2)/50 + (17*x^3)/10 + (103*x^4)/50 + (7*x^5)/10 + x^6 + 6/25) - log(x - (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*4464079i)/13957440992 + 97/468512) + log(x + (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*4464079i)/13957440992 - 97/468512)","B"
51,1,81,98,0.045398,"\text{Not used}","int((3*x + 5*x^2 + 2)^4/(2*x^2 - x + 3)^3,x)","\frac{2725\,x}{8}-\frac{13915\,\ln\left(2\,x^2-x+3\right)}{64}-\frac{63799791\,\sqrt{23}\,\mathrm{atan}\left(\frac{4\,\sqrt{23}\,x}{23}-\frac{\sqrt{23}}{23}\right)}{389344}+\frac{4875\,x^2}{32}+\frac{625\,x^3}{24}+\frac{\frac{25428755\,x^3}{67712}-\frac{43897711\,x^2}{270848}+\frac{67895641\,x}{135424}-\frac{6565823}{270848}}{x^4-x^3+\frac{13\,x^2}{4}-\frac{3\,x}{2}+\frac{9}{4}}","Not used",1,"(2725*x)/8 - (13915*log(2*x^2 - x + 3))/64 - (63799791*23^(1/2)*atan((4*23^(1/2)*x)/23 - 23^(1/2)/23))/389344 + (4875*x^2)/32 + (625*x^3)/24 + ((67895641*x)/135424 - (43897711*x^2)/270848 + (25428755*x^3)/67712 - 6565823/270848)/((13*x^2)/4 - (3*x)/2 - x^3 + x^4 + 9/4)","B"
52,1,72,84,0.049466,"\text{Not used}","int((3*x + 5*x^2 + 2)^3/(2*x^2 - x + 3)^3,x)","\frac{125\,x}{8}+\frac{825\,\ln\left(2\,x^2-x+3\right)}{32}-\frac{165099\,\sqrt{23}\,\mathrm{atan}\left(\frac{4\,\sqrt{23}\,x}{23}-\frac{\sqrt{23}}{23}\right)}{194672}-\frac{\frac{388047\,x^3}{16928}-\frac{3340447\,x^2}{67712}+\frac{1460833\,x}{33856}-\frac{3586319}{67712}}{x^4-x^3+\frac{13\,x^2}{4}-\frac{3\,x}{2}+\frac{9}{4}}","Not used",1,"(125*x)/8 + (825*log(2*x^2 - x + 3))/32 - (165099*23^(1/2)*atan((4*23^(1/2)*x)/23 - 23^(1/2)/23))/194672 - ((1460833*x)/33856 - (3340447*x^2)/67712 + (388047*x^3)/16928 - 3586319/67712)/((13*x^2)/4 - (3*x)/2 - x^3 + x^4 + 9/4)","B"
53,1,56,64,3.474155,"\text{Not used}","int((3*x + 5*x^2 + 2)^2/(2*x^2 - x + 3)^3,x)","\frac{4330\,\sqrt{23}\,\mathrm{atan}\left(\frac{4\,\sqrt{23}\,x}{23}-\frac{\sqrt{23}}{23}\right)}{12167}-\frac{\frac{4565\,x^3}{4232}+\frac{44495\,x^2}{16928}+\frac{5159\,x}{8464}+\frac{53999}{16928}}{x^4-x^3+\frac{13\,x^2}{4}-\frac{3\,x}{2}+\frac{9}{4}}","Not used",1,"(4330*23^(1/2)*atan((4*23^(1/2)*x)/23 - 23^(1/2)/23))/12167 - ((5159*x)/8464 + (44495*x^2)/16928 + (4565*x^3)/4232 + 53999/16928)/((13*x^2)/4 - (3*x)/2 - x^3 + x^4 + 9/4)","B"
54,1,55,64,0.043569,"\text{Not used}","int((3*x + 5*x^2 + 2)/(2*x^2 - x + 3)^3,x)","\frac{262\,\sqrt{23}\,\mathrm{atan}\left(\frac{4\,\sqrt{23}\,x}{23}-\frac{\sqrt{23}}{23}\right)}{12167}+\frac{\frac{131\,x^3}{1058}-\frac{393\,x^2}{4232}+\frac{59\,x}{529}-\frac{829}{4232}}{x^4-x^3+\frac{13\,x^2}{4}-\frac{3\,x}{2}+\frac{9}{4}}","Not used",1,"(262*23^(1/2)*atan((4*23^(1/2)*x)/23 - 23^(1/2)/23))/12167 + ((59*x)/529 - (393*x^2)/4232 + (131*x^3)/1058 - 829/4232)/((13*x^2)/4 - (3*x)/2 - x^3 + x^4 + 9/4)","B"
55,1,116,115,3.579813,"\text{Not used}","int(1/((2*x^2 - x + 3)^3*(3*x + 5*x^2 + 2)),x)","-\ln\left(x+\frac{3}{10}-\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(-\frac{119}{21296}+\frac{\sqrt{31}\,247{}\mathrm{i}}{660176}\right)+\ln\left(x+\frac{3}{10}+\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(\frac{119}{21296}+\frac{\sqrt{31}\,247{}\mathrm{i}}{660176}\right)-\ln\left(x-\frac{1}{4}-\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{119}{21296}+\frac{\sqrt{23}\,53403{}\mathrm{i}}{259108432}\right)+\ln\left(x-\frac{1}{4}+\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{119}{21296}+\frac{\sqrt{23}\,53403{}\mathrm{i}}{259108432}\right)-\frac{\frac{373\,x^3}{256036}-\frac{1999\,x^2}{256036}+\frac{61\,x}{8464}-\frac{3541}{256036}}{x^4-x^3+\frac{13\,x^2}{4}-\frac{3\,x}{2}+\frac{9}{4}}","Not used",1,"log(x + (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*247i)/660176 + 119/21296) - log(x - (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*247i)/660176 - 119/21296) - log(x - (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*53403i)/259108432 + 119/21296) + log(x + (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*53403i)/259108432 - 119/21296) - ((61*x)/8464 - (1999*x^2)/256036 + (373*x^3)/256036 - 3541/256036)/((13*x^2)/4 - (3*x)/2 - x^3 + x^4 + 9/4)","B"
56,1,136,160,3.597469,"\text{Not used}","int(1/((2*x^2 - x + 3)^3*(3*x + 5*x^2 + 2)^2),x)","-\frac{\frac{50563\,x^5}{174616552}+\frac{1038047\,x^4}{436541380}-\frac{5042869\,x^3}{3492331040}+\frac{21674311\,x^2}{3492331040}-\frac{294391\,x}{174616552}+\frac{200677}{79371160}}{x^6-\frac{2\,x^5}{5}+\frac{61\,x^4}{20}+\frac{x^3}{20}+\frac{53\,x^2}{20}+\frac{3\,x}{4}+\frac{9}{10}}-\ln\left(x+\frac{3}{10}-\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(\frac{181}{468512}+\frac{\sqrt{31}\,246757{}\mathrm{i}}{450240032}\right)+\ln\left(x+\frac{3}{10}+\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(-\frac{181}{468512}+\frac{\sqrt{31}\,246757{}\mathrm{i}}{450240032}\right)+\ln\left(x-\frac{1}{4}-\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{181}{468512}+\frac{\sqrt{23}\,2038497{}\mathrm{i}}{5700385504}\right)-\ln\left(x-\frac{1}{4}+\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{181}{468512}+\frac{\sqrt{23}\,2038497{}\mathrm{i}}{5700385504}\right)","Not used",1,"log(x + (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*246757i)/450240032 - 181/468512) - log(x - (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*246757i)/450240032 + 181/468512) - ((21674311*x^2)/3492331040 - (294391*x)/174616552 - (5042869*x^3)/3492331040 + (1038047*x^4)/436541380 + (50563*x^5)/174616552 + 200677/79371160)/((3*x)/4 + (53*x^2)/20 + x^3/20 + (61*x^4)/20 - (2*x^5)/5 + x^6 + 9/10) + log(x - (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*2038497i)/5700385504 + 181/468512) - log(x + (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*2038497i)/5700385504 - 181/468512)","B"
57,1,155,181,3.588462,"\text{Not used}","int(1/((2*x^2 - x + 3)^3*(3*x + 5*x^2 + 2)^3),x)","\frac{\frac{21421305\,x^7}{14886061058}-\frac{356802\,x^6}{7443030529}+\frac{1191332621\,x^5}{297721221160}+\frac{400530769\,x^4}{297721221160}+\frac{1108758087\,x^3}{297721221160}+\frac{938364483\,x^2}{595442442320}+\frac{1254420353\,x}{744303052900}+\frac{235280627}{1488606105800}}{x^8+\frac{x^7}{5}+\frac{321\,x^6}{100}+\frac{43\,x^5}{25}+\frac{39\,x^4}{10}+\frac{59\,x^3}{25}+\frac{241\,x^2}{100}+\frac{21\,x}{25}+\frac{9}{25}}+\ln\left(x-\frac{1}{4}+\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(\frac{405}{1288408}+\frac{\sqrt{23}\,880575{}\mathrm{i}}{15676060136}\right)-\ln\left(x+\frac{3}{10}-\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(\frac{405}{1288408}+\frac{\sqrt{31}\,2768835{}\mathrm{i}}{38382962728}\right)+\ln\left(x+\frac{3}{10}+\frac{\sqrt{31}\,1{}\mathrm{i}}{10}\right)\,\left(-\frac{405}{1288408}+\frac{\sqrt{31}\,2768835{}\mathrm{i}}{38382962728}\right)-\ln\left(x-\frac{1}{4}-\frac{\sqrt{23}\,1{}\mathrm{i}}{4}\right)\,\left(-\frac{405}{1288408}+\frac{\sqrt{23}\,880575{}\mathrm{i}}{15676060136}\right)","Not used",1,"log(x + (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*880575i)/15676060136 + 405/1288408) - log(x - (23^(1/2)*1i)/4 - 1/4)*((23^(1/2)*880575i)/15676060136 - 405/1288408) - log(x - (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*2768835i)/38382962728 + 405/1288408) + log(x + (31^(1/2)*1i)/10 + 3/10)*((31^(1/2)*2768835i)/38382962728 - 405/1288408) + ((1254420353*x)/744303052900 + (938364483*x^2)/595442442320 + (1108758087*x^3)/297721221160 + (400530769*x^4)/297721221160 + (1191332621*x^5)/297721221160 - (356802*x^6)/7443030529 + (21421305*x^7)/14886061058 + 235280627/1488606105800)/((21*x)/25 + (241*x^2)/100 + (59*x^3)/25 + (39*x^4)/10 + (43*x^5)/25 + (321*x^6)/100 + x^7/5 + x^8 + 9/25)","B"
58,1,221,208,5.027563,"\text{Not used}","int((2*x^2 - x + 3)^(1/2)*(3*x + 5*x^2 + 2)^4,x)","\frac{8325631\,x^3\,{\left(2\,x^2-x+3\right)}^{3/2}}{1032192}-\frac{83948353\,x^2\,{\left(2\,x^2-x+3\right)}^{3/2}}{2293760}+\frac{4796405\,x^4\,{\left(2\,x^2-x+3\right)}^{3/2}}{43008}+\frac{233225\,x^5\,{\left(2\,x^2-x+3\right)}^{3/2}}{1536}+\frac{14125\,x^6\,{\left(2\,x^2-x+3\right)}^{3/2}}{144}+\frac{125\,x^7\,{\left(2\,x^2-x+3\right)}^{3/2}}{4}-\frac{41987163941\,\sqrt{2}\,\ln\left(\sqrt{2\,x^2-x+3}+\frac{\sqrt{2}\,\left(2\,x-\frac{1}{2}\right)}{2}\right)}{1174405120}-\frac{1825528867\,\left(\frac{x}{2}-\frac{1}{8}\right)\,\sqrt{2\,x^2-x+3}}{36700160}+\frac{27185733541\,\sqrt{2\,x^2-x+3}\,\left(32\,x^2-4\,x+45\right)}{7046430720}+\frac{804243809\,x\,{\left(2\,x^2-x+3\right)}^{3/2}}{36700160}+\frac{625271871443\,\sqrt{2}\,\ln\left(2\,\sqrt{2\,x^2-x+3}+\frac{\sqrt{2}\,\left(4\,x-1\right)}{2}\right)}{9395240960}","Not used",1,"(8325631*x^3*(2*x^2 - x + 3)^(3/2))/1032192 - (83948353*x^2*(2*x^2 - x + 3)^(3/2))/2293760 + (4796405*x^4*(2*x^2 - x + 3)^(3/2))/43008 + (233225*x^5*(2*x^2 - x + 3)^(3/2))/1536 + (14125*x^6*(2*x^2 - x + 3)^(3/2))/144 + (125*x^7*(2*x^2 - x + 3)^(3/2))/4 - (41987163941*2^(1/2)*log((2*x^2 - x + 3)^(1/2) + (2^(1/2)*(2*x - 1/2))/2))/1174405120 - (1825528867*(x/2 - 1/8)*(2*x^2 - x + 3)^(1/2))/36700160 + (27185733541*(2*x^2 - x + 3)^(1/2)*(32*x^2 - 4*x + 45))/7046430720 + (804243809*x*(2*x^2 - x + 3)^(3/2))/36700160 + (625271871443*2^(1/2)*log(2*(2*x^2 - x + 3)^(1/2) + (2^(1/2)*(4*x - 1))/2))/9395240960","B"
59,1,187,166,4.691995,"\text{Not used}","int((2*x^2 - x + 3)^(1/2)*(3*x + 5*x^2 + 2)^3,x)","\frac{531681\,x^2\,{\left(2\,x^2-x+3\right)}^{3/2}}{71680}+\frac{247435\,x^3\,{\left(2\,x^2-x+3\right)}^{3/2}}{10752}+\frac{8825\,x^4\,{\left(2\,x^2-x+3\right)}^{3/2}}{448}+\frac{125\,x^5\,{\left(2\,x^2-x+3\right)}^{3/2}}{16}+\frac{875316037\,\sqrt{2}\,\ln\left(\sqrt{2\,x^2-x+3}+\frac{\sqrt{2}\,\left(2\,x-\frac{1}{2}\right)}{2}\right)}{36700160}+\frac{38057219\,\left(\frac{x}{2}-\frac{1}{8}\right)\,\sqrt{2\,x^2-x+3}}{1146880}-\frac{22548119\,\sqrt{2\,x^2-x+3}\,\left(32\,x^2-4\,x+45\right)}{73400320}-\frac{9627393\,x\,{\left(2\,x^2-x+3\right)}^{3/2}}{1146880}-\frac{1555820211\,\sqrt{2}\,\ln\left(2\,\sqrt{2\,x^2-x+3}+\frac{\sqrt{2}\,\left(4\,x-1\right)}{2}\right)}{293601280}","Not used",1,"(531681*x^2*(2*x^2 - x + 3)^(3/2))/71680 + (247435*x^3*(2*x^2 - x + 3)^(3/2))/10752 + (8825*x^4*(2*x^2 - x + 3)^(3/2))/448 + (125*x^5*(2*x^2 - x + 3)^(3/2))/16 + (875316037*2^(1/2)*log((2*x^2 - x + 3)^(1/2) + (2^(1/2)*(2*x - 1/2))/2))/36700160 + (38057219*(x/2 - 1/8)*(2*x^2 - x + 3)^(1/2))/1146880 - (22548119*(2*x^2 - x + 3)^(1/2)*(32*x^2 - 4*x + 45))/73400320 - (9627393*x*(2*x^2 - x + 3)^(3/2))/1146880 - (1555820211*2^(1/2)*log(2*(2*x^2 - x + 3)^(1/2) + (2^(1/2)*(4*x - 1))/2))/293601280","B"
60,1,153,124,4.185042,"\text{Not used}","int((2*x^2 - x + 3)^(1/2)*(3*x + 5*x^2 + 2)^2,x)","\frac{63\,x^2\,{\left(2\,x^2-x+3\right)}^{3/2}}{16}+\frac{25\,x^3\,{\left(2\,x^2-x+3\right)}^{3/2}}{12}-\frac{29509\,\sqrt{2}\,\ln\left(\sqrt{2\,x^2-x+3}+\frac{\sqrt{2}\,\left(2\,x-\frac{1}{2}\right)}{2}\right)}{8192}-\frac{1283\,\left(\frac{x}{2}-\frac{1}{8}\right)\,\sqrt{2\,x^2-x+3}}{256}-\frac{2107\,\sqrt{2\,x^2-x+3}\,\left(32\,x^2-4\,x+45\right)}{49152}+\frac{769\,x\,{\left(2\,x^2-x+3\right)}^{3/2}}{256}-\frac{48461\,\sqrt{2}\,\ln\left(2\,\sqrt{2\,x^2-x+3}+\frac{\sqrt{2}\,\left(4\,x-1\right)}{2}\right)}{65536}","Not used",1,"(63*x^2*(2*x^2 - x + 3)^(3/2))/16 + (25*x^3*(2*x^2 - x + 3)^(3/2))/12 - (29509*2^(1/2)*log((2*x^2 - x + 3)^(1/2) + (2^(1/2)*(2*x - 1/2))/2))/8192 - (1283*(x/2 - 1/8)*(2*x^2 - x + 3)^(1/2))/256 - (2107*(2*x^2 - x + 3)^(1/2)*(32*x^2 - 4*x + 45))/49152 + (769*x*(2*x^2 - x + 3)^(3/2))/256 - (48461*2^(1/2)*log(2*(2*x^2 - x + 3)^(1/2) + (2^(1/2)*(4*x - 1))/2))/65536","B"
61,1,119,82,3.835107,"\text{Not used}","int((2*x^2 - x + 3)^(1/2)*(3*x + 5*x^2 + 2),x)","\frac{23\,\sqrt{2}\,\ln\left(\sqrt{2\,x^2-x+3}+\frac{\sqrt{2}\,\left(2\,x-\frac{1}{2}\right)}{2}\right)}{256}+\frac{\left(\frac{x}{2}-\frac{1}{8}\right)\,\sqrt{2\,x^2-x+3}}{8}+\frac{73\,\sqrt{2\,x^2-x+3}\,\left(32\,x^2-4\,x+45\right)}{1536}+\frac{5\,x\,{\left(2\,x^2-x+3\right)}^{3/2}}{8}+\frac{1679\,\sqrt{2}\,\ln\left(2\,\sqrt{2\,x^2-x+3}+\frac{\sqrt{2}\,\left(4\,x-1\right)}{2}\right)}{2048}","Not used",1,"(23*2^(1/2)*log((2*x^2 - x + 3)^(1/2) + (2^(1/2)*(2*x - 1/2))/2))/256 + ((x/2 - 1/8)*(2*x^2 - x + 3)^(1/2))/8 + (73*(2*x^2 - x + 3)^(1/2)*(32*x^2 - 4*x + 45))/1536 + (5*x*(2*x^2 - x + 3)^(3/2))/8 + (1679*2^(1/2)*log(2*(2*x^2 - x + 3)^(1/2) + (2^(1/2)*(4*x - 1))/2))/2048","B"
62,0,-1,174,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(1/2)/(3*x + 5*x^2 + 2),x)","\int \frac{\sqrt{2\,x^2-x+3}}{5\,x^2+3\,x+2} \,d x","Not used",1,"int((2*x^2 - x + 3)^(1/2)/(3*x + 5*x^2 + 2), x)","F"
63,0,-1,188,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(1/2)/(3*x + 5*x^2 + 2)^2,x)","\int \frac{\sqrt{2\,x^2-x+3}}{{\left(5\,x^2+3\,x+2\right)}^2} \,d x","Not used",1,"int((2*x^2 - x + 3)^(1/2)/(3*x + 5*x^2 + 2)^2, x)","F"
64,0,-1,223,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(1/2)/(3*x + 5*x^2 + 2)^3,x)","\int \frac{\sqrt{2\,x^2-x+3}}{{\left(5\,x^2+3\,x+2\right)}^3} \,d x","Not used",1,"int((2*x^2 - x + 3)^(1/2)/(3*x + 5*x^2 + 2)^3, x)","F"
65,0,-1,231,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(3/2)*(3*x + 5*x^2 + 2)^4,x)","\int {\left(2\,x^2-x+3\right)}^{3/2}\,{\left(5\,x^2+3\,x+2\right)}^4 \,d x","Not used",1,"int((2*x^2 - x + 3)^(3/2)*(3*x + 5*x^2 + 2)^4, x)","F"
66,0,-1,189,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(3/2)*(3*x + 5*x^2 + 2)^3,x)","\int {\left(2\,x^2-x+3\right)}^{3/2}\,{\left(5\,x^2+3\,x+2\right)}^3 \,d x","Not used",1,"int((2*x^2 - x + 3)^(3/2)*(3*x + 5*x^2 + 2)^3, x)","F"
67,0,-1,147,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(3/2)*(3*x + 5*x^2 + 2)^2,x)","\int {\left(2\,x^2-x+3\right)}^{3/2}\,{\left(5\,x^2+3\,x+2\right)}^2 \,d x","Not used",1,"int((2*x^2 - x + 3)^(3/2)*(3*x + 5*x^2 + 2)^2, x)","F"
68,0,-1,105,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(3/2)*(3*x + 5*x^2 + 2),x)","\int {\left(2\,x^2-x+3\right)}^{3/2}\,\left(5\,x^2+3\,x+2\right) \,d x","Not used",1,"int((2*x^2 - x + 3)^(3/2)*(3*x + 5*x^2 + 2), x)","F"
69,0,-1,197,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(3/2)/(3*x + 5*x^2 + 2),x)","\int \frac{{\left(2\,x^2-x+3\right)}^{3/2}}{5\,x^2+3\,x+2} \,d x","Not used",1,"int((2*x^2 - x + 3)^(3/2)/(3*x + 5*x^2 + 2), x)","F"
70,0,-1,232,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(3/2)/(3*x + 5*x^2 + 2)^2,x)","\int \frac{{\left(2\,x^2-x+3\right)}^{3/2}}{{\left(5\,x^2+3\,x+2\right)}^2} \,d x","Not used",1,"int((2*x^2 - x + 3)^(3/2)/(3*x + 5*x^2 + 2)^2, x)","F"
71,0,-1,223,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(3/2)/(3*x + 5*x^2 + 2)^3,x)","\int \frac{{\left(2\,x^2-x+3\right)}^{3/2}}{{\left(5\,x^2+3\,x+2\right)}^3} \,d x","Not used",1,"int((2*x^2 - x + 3)^(3/2)/(3*x + 5*x^2 + 2)^3, x)","F"
72,0,-1,254,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(5/2)*(3*x + 5*x^2 + 2)^4,x)","\int {\left(2\,x^2-x+3\right)}^{5/2}\,{\left(5\,x^2+3\,x+2\right)}^4 \,d x","Not used",1,"int((2*x^2 - x + 3)^(5/2)*(3*x + 5*x^2 + 2)^4, x)","F"
73,0,-1,212,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(5/2)*(3*x + 5*x^2 + 2)^3,x)","\int {\left(2\,x^2-x+3\right)}^{5/2}\,{\left(5\,x^2+3\,x+2\right)}^3 \,d x","Not used",1,"int((2*x^2 - x + 3)^(5/2)*(3*x + 5*x^2 + 2)^3, x)","F"
74,0,-1,170,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(5/2)*(3*x + 5*x^2 + 2)^2,x)","\int {\left(2\,x^2-x+3\right)}^{5/2}\,{\left(5\,x^2+3\,x+2\right)}^2 \,d x","Not used",1,"int((2*x^2 - x + 3)^(5/2)*(3*x + 5*x^2 + 2)^2, x)","F"
75,0,-1,128,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(5/2)*(3*x + 5*x^2 + 2),x)","\int {\left(2\,x^2-x+3\right)}^{5/2}\,\left(5\,x^2+3\,x+2\right) \,d x","Not used",1,"int((2*x^2 - x + 3)^(5/2)*(3*x + 5*x^2 + 2), x)","F"
76,0,-1,222,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(5/2)/(3*x + 5*x^2 + 2),x)","\int \frac{{\left(2\,x^2-x+3\right)}^{5/2}}{5\,x^2+3\,x+2} \,d x","Not used",1,"int((2*x^2 - x + 3)^(5/2)/(3*x + 5*x^2 + 2), x)","F"
77,0,-1,255,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(5/2)/(3*x + 5*x^2 + 2)^2,x)","\int \frac{{\left(2\,x^2-x+3\right)}^{5/2}}{{\left(5\,x^2+3\,x+2\right)}^2} \,d x","Not used",1,"int((2*x^2 - x + 3)^(5/2)/(3*x + 5*x^2 + 2)^2, x)","F"
78,0,-1,281,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(5/2)/(3*x + 5*x^2 + 2)^3,x)","\int \frac{{\left(2\,x^2-x+3\right)}^{5/2}}{{\left(5\,x^2+3\,x+2\right)}^3} \,d x","Not used",1,"int((2*x^2 - x + 3)^(5/2)/(3*x + 5*x^2 + 2)^3, x)","F"
79,0,-1,185,0.000000,"\text{Not used}","int((3*x + 5*x^2 + 2)^4/(2*x^2 - x + 3)^(1/2),x)","\int \frac{{\left(5\,x^2+3\,x+2\right)}^4}{\sqrt{2\,x^2-x+3}} \,d x","Not used",1,"int((3*x + 5*x^2 + 2)^4/(2*x^2 - x + 3)^(1/2), x)","F"
80,0,-1,143,0.000000,"\text{Not used}","int((3*x + 5*x^2 + 2)^3/(2*x^2 - x + 3)^(1/2),x)","\int \frac{{\left(5\,x^2+3\,x+2\right)}^3}{\sqrt{2\,x^2-x+3}} \,d x","Not used",1,"int((3*x + 5*x^2 + 2)^3/(2*x^2 - x + 3)^(1/2), x)","F"
81,0,-1,101,0.000000,"\text{Not used}","int((3*x + 5*x^2 + 2)^2/(2*x^2 - x + 3)^(1/2),x)","\int \frac{{\left(5\,x^2+3\,x+2\right)}^2}{\sqrt{2\,x^2-x+3}} \,d x","Not used",1,"int((3*x + 5*x^2 + 2)^2/(2*x^2 - x + 3)^(1/2), x)","F"
82,0,-1,59,0.000000,"\text{Not used}","int((3*x + 5*x^2 + 2)/(2*x^2 - x + 3)^(1/2),x)","\int \frac{5\,x^2+3\,x+2}{\sqrt{2\,x^2-x+3}} \,d x","Not used",1,"int((3*x + 5*x^2 + 2)/(2*x^2 - x + 3)^(1/2), x)","F"
83,0,-1,148,0.000000,"\text{Not used}","int(1/((2*x^2 - x + 3)^(1/2)*(3*x + 5*x^2 + 2)),x)","\int \frac{1}{\sqrt{2\,x^2-x+3}\,\left(5\,x^2+3\,x+2\right)} \,d x","Not used",1,"int(1/((2*x^2 - x + 3)^(1/2)*(3*x + 5*x^2 + 2)), x)","F"
84,0,-1,188,0.000000,"\text{Not used}","int(1/((2*x^2 - x + 3)^(1/2)*(3*x + 5*x^2 + 2)^2),x)","\int \frac{1}{\sqrt{2\,x^2-x+3}\,{\left(5\,x^2+3\,x+2\right)}^2} \,d x","Not used",1,"int(1/((2*x^2 - x + 3)^(1/2)*(3*x + 5*x^2 + 2)^2), x)","F"
85,0,-1,223,0.000000,"\text{Not used}","int(1/((2*x^2 - x + 3)^(1/2)*(3*x + 5*x^2 + 2)^3),x)","\int \frac{1}{\sqrt{2\,x^2-x+3}\,{\left(5\,x^2+3\,x+2\right)}^3} \,d x","Not used",1,"int(1/((2*x^2 - x + 3)^(1/2)*(3*x + 5*x^2 + 2)^3), x)","F"
86,0,-1,166,0.000000,"\text{Not used}","int((3*x + 5*x^2 + 2)^4/(2*x^2 - x + 3)^(3/2),x)","\int \frac{{\left(5\,x^2+3\,x+2\right)}^4}{{\left(2\,x^2-x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 5*x^2 + 2)^4/(2*x^2 - x + 3)^(3/2), x)","F"
87,0,-1,124,0.000000,"\text{Not used}","int((3*x + 5*x^2 + 2)^3/(2*x^2 - x + 3)^(3/2),x)","\int \frac{{\left(5\,x^2+3\,x+2\right)}^3}{{\left(2\,x^2-x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 5*x^2 + 2)^3/(2*x^2 - x + 3)^(3/2), x)","F"
88,0,-1,82,0.000000,"\text{Not used}","int((3*x + 5*x^2 + 2)^2/(2*x^2 - x + 3)^(3/2),x)","\int \frac{{\left(5\,x^2+3\,x+2\right)}^2}{{\left(2\,x^2-x+3\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 5*x^2 + 2)^2/(2*x^2 - x + 3)^(3/2), x)","F"
89,1,87,45,0.226714,"\text{Not used}","int((3*x + 5*x^2 + 2)/(2*x^2 - x + 3)^(3/2),x)","\frac{5\,\sqrt{2}\,\ln\left(\sqrt{2\,x^2-x+3}+\frac{\sqrt{2}\,\left(2\,x-\frac{1}{2}\right)}{2}\right)}{4}+\frac{3\,\left(2\,x-12\right)}{23\,\sqrt{2\,x^2-x+3}}-\frac{10\,\left(\frac{11\,x}{2}+\frac{3}{2}\right)}{23\,\sqrt{2\,x^2-x+3}}+\frac{16\,x-4}{23\,\sqrt{2\,x^2-x+3}}","Not used",1,"(5*2^(1/2)*log((2*x^2 - x + 3)^(1/2) + (2^(1/2)*(2*x - 1/2))/2))/4 + (3*(2*x - 12))/(23*(2*x^2 - x + 3)^(1/2)) - (10*((11*x)/2 + 3/2))/(23*(2*x^2 - x + 3)^(1/2)) + (16*x - 4)/(23*(2*x^2 - x + 3)^(1/2))","B"
90,0,-1,176,0.000000,"\text{Not used}","int(1/((2*x^2 - x + 3)^(3/2)*(3*x + 5*x^2 + 2)),x)","\int \frac{1}{{\left(2\,x^2-x+3\right)}^{3/2}\,\left(5\,x^2+3\,x+2\right)} \,d x","Not used",1,"int(1/((2*x^2 - x + 3)^(3/2)*(3*x + 5*x^2 + 2)), x)","F"
91,0,-1,211,0.000000,"\text{Not used}","int(1/((2*x^2 - x + 3)^(3/2)*(3*x + 5*x^2 + 2)^2),x)","\int \frac{1}{{\left(2\,x^2-x+3\right)}^{3/2}\,{\left(5\,x^2+3\,x+2\right)}^2} \,d x","Not used",1,"int(1/((2*x^2 - x + 3)^(3/2)*(3*x + 5*x^2 + 2)^2), x)","F"
92,0,-1,246,0.000000,"\text{Not used}","int(1/((2*x^2 - x + 3)^(3/2)*(3*x + 5*x^2 + 2)^3),x)","\int \frac{1}{{\left(2\,x^2-x+3\right)}^{3/2}\,{\left(5\,x^2+3\,x+2\right)}^3} \,d x","Not used",1,"int(1/((2*x^2 - x + 3)^(3/2)*(3*x + 5*x^2 + 2)^3), x)","F"
93,0,-1,147,0.000000,"\text{Not used}","int((3*x + 5*x^2 + 2)^4/(2*x^2 - x + 3)^(5/2),x)","\int \frac{{\left(5\,x^2+3\,x+2\right)}^4}{{\left(2\,x^2-x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 5*x^2 + 2)^4/(2*x^2 - x + 3)^(5/2), x)","F"
94,0,-1,105,0.000000,"\text{Not used}","int((3*x + 5*x^2 + 2)^3/(2*x^2 - x + 3)^(5/2),x)","\int \frac{{\left(5\,x^2+3\,x+2\right)}^3}{{\left(2\,x^2-x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 5*x^2 + 2)^3/(2*x^2 - x + 3)^(5/2), x)","F"
95,0,-1,68,0.000000,"\text{Not used}","int((3*x + 5*x^2 + 2)^2/(2*x^2 - x + 3)^(5/2),x)","\int \frac{{\left(5\,x^2+3\,x+2\right)}^2}{{\left(2\,x^2-x+3\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 5*x^2 + 2)^2/(2*x^2 - x + 3)^(5/2), x)","F"
96,1,29,47,0.089766,"\text{Not used}","int((3*x + 5*x^2 + 2)/(2*x^2 - x + 3)^(5/2),x)","\frac{2\,\left(852\,x^3-639\,x^2+1005\,x-952\right)}{1587\,{\left(2\,x^2-x+3\right)}^{3/2}}","Not used",1,"(2*(1005*x - 639*x^2 + 852*x^3 - 952))/(1587*(2*x^2 - x + 3)^(3/2))","B"
97,0,-1,199,0.000000,"\text{Not used}","int(1/((2*x^2 - x + 3)^(5/2)*(3*x + 5*x^2 + 2)),x)","\int \frac{1}{{\left(2\,x^2-x+3\right)}^{5/2}\,\left(5\,x^2+3\,x+2\right)} \,d x","Not used",1,"int(1/((2*x^2 - x + 3)^(5/2)*(3*x + 5*x^2 + 2)), x)","F"
98,0,-1,234,0.000000,"\text{Not used}","int(1/((2*x^2 - x + 3)^(5/2)*(3*x + 5*x^2 + 2)^2),x)","\int \frac{1}{{\left(2\,x^2-x+3\right)}^{5/2}\,{\left(5\,x^2+3\,x+2\right)}^2} \,d x","Not used",1,"int(1/((2*x^2 - x + 3)^(5/2)*(3*x + 5*x^2 + 2)^2), x)","F"
99,0,-1,269,0.000000,"\text{Not used}","int(1/((2*x^2 - x + 3)^(5/2)*(3*x + 5*x^2 + 2)^3),x)","\int \frac{1}{{\left(2\,x^2-x+3\right)}^{5/2}\,{\left(5\,x^2+3\,x+2\right)}^3} \,d x","Not used",1,"int(1/((2*x^2 - x + 3)^(5/2)*(3*x + 5*x^2 + 2)^3), x)","F"
100,1,1299,436,5.311775,"\text{Not used}","int((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)^2,x)","d^2\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{e^2\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,f^2\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{2\,c}-\frac{3\,b\,f^2\,\left(\frac{7\,b\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}-\frac{2\,a\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}+\frac{x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}\right)}{4\,c}+\frac{f^2\,x^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{6\,c}-\frac{a\,e^2\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}+\frac{d^2\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}-\frac{5\,b\,e^2\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{4\,a\,e\,f\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}-\frac{5\,b\,d\,f\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{4\,c}+\frac{d\,e\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{12\,c^2}+\frac{d\,f\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{2\,c}+\frac{7\,b\,e\,f\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{5\,c}+\frac{2\,e\,f\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}-\frac{a\,d\,f\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{2\,c}+\frac{d\,e\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{8\,c^{5/2}}","Not used",1,"d^2*(x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (e^2*x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*f^2*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(2*c) - (3*b*f^2*((7*b*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) - (2*a*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) + (x^2*(a + b*x + c*x^2)^(3/2))/(5*c)))/(4*c) + (f^2*x^3*(a + b*x + c*x^2)^(3/2))/(6*c) - (a*e^2*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) + (d^2*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2)) - (5*b*e^2*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (4*a*e*f*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) - (5*b*d*f*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(4*c) + (d*e*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(12*c^2) + (d*f*x*(a + b*x + c*x^2)^(3/2))/(2*c) + (7*b*e*f*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(5*c) + (2*e*f*x^2*(a + b*x + c*x^2)^(3/2))/(5*c) - (a*d*f*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(2*c) + (d*e*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(8*c^(5/2))","B"
101,1,320,175,3.905951,"\text{Not used}","int((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2),x)","d\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}-\frac{a\,f\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}+\frac{d\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}+\frac{e\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}-\frac{5\,b\,f\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}+\frac{e\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}+\frac{f\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}","Not used",1,"d*(x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) - (a*f*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) + (d*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2)) + (e*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) - (5*b*f*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) + (e*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2) + (f*x*(a + b*x + c*x^2)^(3/2))/(4*c)","B"
102,0,-1,431,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(1/2)/(d + e*x + f*x^2),x)","\int \frac{\sqrt{c\,x^2+b\,x+a}}{f\,x^2+e\,x+d} \,d x","Not used",1,"int((a + b*x + c*x^2)^(1/2)/(d + e*x + f*x^2), x)","F"
103,0,-1,488,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(1/2)/(d + e*x + f*x^2)^2,x)","\int \frac{\sqrt{c\,x^2+b\,x+a}}{{\left(f\,x^2+e\,x+d\right)}^2} \,d x","Not used",1,"int((a + b*x + c*x^2)^(1/2)/(d + e*x + f*x^2)^2, x)","F"
104,0,-1,564,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2)^2,x)","\int {\left(c\,x^2+b\,x+a\right)}^{3/2}\,{\left(f\,x^2+e\,x+d\right)}^2 \,d x","Not used",1,"int((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2)^2, x)","F"
105,0,-1,236,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2),x)","\int {\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2), x)","F"
106,0,-1,679,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(3/2)/(d + e*x + f*x^2),x)","\int \frac{{\left(c\,x^2+b\,x+a\right)}^{3/2}}{f\,x^2+e\,x+d} \,d x","Not used",1,"int((a + b*x + c*x^2)^(3/2)/(d + e*x + f*x^2), x)","F"
107,0,-1,704,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(3/2)/(d + e*x + f*x^2)^2,x)","\int \frac{{\left(c\,x^2+b\,x+a\right)}^{3/2}}{{\left(f\,x^2+e\,x+d\right)}^2} \,d x","Not used",1,"int((a + b*x + c*x^2)^(3/2)/(d + e*x + f*x^2)^2, x)","F"
108,0,-1,671,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(3/2)/(d + e*x + f*x^2)^3,x)","\int \frac{{\left(c\,x^2+b\,x+a\right)}^{3/2}}{{\left(f\,x^2+e\,x+d\right)}^3} \,d x","Not used",1,"int((a + b*x + c*x^2)^(3/2)/(d + e*x + f*x^2)^3, x)","F"
109,0,-1,717,0.000000,"\text{Not used}","int((d + e*x + f*x^2)^3/(a + b*x + c*x^2)^(1/2),x)","\int \frac{{\left(f\,x^2+e\,x+d\right)}^3}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((d + e*x + f*x^2)^3/(a + b*x + c*x^2)^(1/2), x)","F"
110,0,-1,316,0.000000,"\text{Not used}","int((d + e*x + f*x^2)^2/(a + b*x + c*x^2)^(1/2),x)","\int \frac{{\left(f\,x^2+e\,x+d\right)}^2}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((d + e*x + f*x^2)^2/(a + b*x + c*x^2)^(1/2), x)","F"
111,0,-1,116,0.000000,"\text{Not used}","int((d + e*x + f*x^2)/(a + b*x + c*x^2)^(1/2),x)","\int \frac{f\,x^2+e\,x+d}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((d + e*x + f*x^2)/(a + b*x + c*x^2)^(1/2), x)","F"
112,0,-1,374,0.000000,"\text{Not used}","int(1/((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)),x)","\int \frac{1}{\sqrt{c\,x^2+b\,x+a}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(1/((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)), x)","F"
113,0,-1,789,0.000000,"\text{Not used}","int(1/((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)^2),x)","\int \frac{1}{\sqrt{c\,x^2+b\,x+a}\,{\left(f\,x^2+e\,x+d\right)}^2} \,d x","Not used",1,"int(1/((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)^2), x)","F"
114,0,-1,649,0.000000,"\text{Not used}","int((d + e*x + f*x^2)^3/(a + b*x + c*x^2)^(3/2),x)","\int \frac{{\left(f\,x^2+e\,x+d\right)}^3}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((d + e*x + f*x^2)^3/(a + b*x + c*x^2)^(3/2), x)","F"
115,0,-1,309,0.000000,"\text{Not used}","int((d + e*x + f*x^2)^2/(a + b*x + c*x^2)^(3/2),x)","\int \frac{{\left(f\,x^2+e\,x+d\right)}^2}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((d + e*x + f*x^2)^2/(a + b*x + c*x^2)^(3/2), x)","F"
116,1,143,111,3.733508,"\text{Not used}","int((d + e*x + f*x^2)/(a + b*x + c*x^2)^(3/2),x)","\frac{f\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)}{c^{3/2}}-\frac{e\,\left(4\,a+2\,b\,x\right)}{\left(4\,a\,c-b^2\right)\,\sqrt{c\,x^2+b\,x+a}}+\frac{d\,\left(\frac{b}{2}+c\,x\right)}{\left(a\,c-\frac{b^2}{4}\right)\,\sqrt{c\,x^2+b\,x+a}}+\frac{f\,\left(\frac{a\,b}{2}-x\,\left(a\,c-\frac{b^2}{2}\right)\right)}{c\,\left(a\,c-\frac{b^2}{4}\right)\,\sqrt{c\,x^2+b\,x+a}}","Not used",1,"(f*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)))/c^(3/2) - (e*(4*a + 2*b*x))/((4*a*c - b^2)*(a + b*x + c*x^2)^(1/2)) + (d*(b/2 + c*x))/((a*c - b^2/4)*(a + b*x + c*x^2)^(1/2)) + (f*((a*b)/2 - x*(a*c - b^2/2)))/(c*(a*c - b^2/4)*(a + b*x + c*x^2)^(1/2))","B"
117,0,-1,666,0.000000,"\text{Not used}","int(1/((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2)),x)","\int \frac{1}{{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)} \,d x","Not used",1,"int(1/((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2)), x)","F"
118,0,-1,891,0.000000,"\text{Not used}","int((d + e*x + f*x^2)^3/(a + b*x + c*x^2)^(5/2),x)","\int \frac{{\left(f\,x^2+e\,x+d\right)}^3}{{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int((d + e*x + f*x^2)^3/(a + b*x + c*x^2)^(5/2), x)","F"
119,0,-1,444,0.000000,"\text{Not used}","int((d + e*x + f*x^2)^2/(a + b*x + c*x^2)^(5/2),x)","\int \frac{{\left(f\,x^2+e\,x+d\right)}^2}{{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int((d + e*x + f*x^2)^2/(a + b*x + c*x^2)^(5/2), x)","F"
120,1,175,131,3.708223,"\text{Not used}","int((d + e*x + f*x^2)/(a + b*x + c*x^2)^(5/2),x)","\frac{2\,\left(8\,f\,a^2\,b-8\,e\,a^2\,c+12\,f\,a\,b^2\,x-2\,e\,a\,b^2+12\,f\,a\,b\,c\,x^2-12\,e\,a\,b\,c\,x+12\,d\,a\,b\,c+8\,f\,a\,c^2\,x^3+24\,d\,a\,c^2\,x+3\,f\,b^3\,x^2-3\,e\,b^3\,x-d\,b^3+2\,f\,b^2\,c\,x^3-12\,e\,b^2\,c\,x^2+6\,d\,b^2\,c\,x-8\,e\,b\,c^2\,x^3+24\,d\,b\,c^2\,x^2+16\,d\,c^3\,x^3\right)}{3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"(2*(16*c^3*d*x^3 - b^3*d + 3*b^3*f*x^2 - 2*a*b^2*e + 8*a^2*b*f - 8*a^2*c*e - 3*b^3*e*x + 24*a*c^2*d*x + 12*a*b^2*f*x + 6*b^2*c*d*x + 24*b*c^2*d*x^2 - 12*b^2*c*e*x^2 + 8*a*c^2*f*x^3 - 8*b*c^2*e*x^3 + 2*b^2*c*f*x^3 + 12*a*b*c*d - 12*a*b*c*e*x + 12*a*b*c*f*x^2))/(3*(4*a*c - b^2)^2*(a + b*x + c*x^2)^(3/2))","B"
121,0,-1,51,0.000000,"\text{Not used}","int(1/((2*x + 5*x^2 - 7)^(1/2)*(12*x + 5*x^2 + 8)),x)","\int \frac{1}{\sqrt{5\,x^2+2\,x-7}\,\left(5\,x^2+12\,x+8\right)} \,d x","Not used",1,"int(1/((2*x + 5*x^2 - 7)^(1/2)*(12*x + 5*x^2 + 8)), x)","F"
122,0,-1,1432,0.000000,"\text{Not used}","int(1/((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)^(1/2)),x)","\int \frac{1}{\sqrt{c\,x^2+b\,x+a}\,\sqrt{f\,x^2+e\,x+d}} \,d x","Not used",1,"int(1/((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2)^(1/2)), x)","F"
123,0,-1,652,0.000000,"\text{Not used}","int(1/((2*x^2 - x + 3)^(1/2)*(3*x + 5*x^2 + 2)^(1/2)),x)","\int \frac{1}{\sqrt{2\,x^2-x+3}\,\sqrt{5\,x^2+3\,x+2}} \,d x","Not used",1,"int(1/((2*x^2 - x + 3)^(1/2)*(3*x + 5*x^2 + 2)^(1/2)), x)","F"