1,0,0,0,0.000000," ","integrate((a+b*x+b*f*x**2/e)/(f*x**2+e*x+d)**(1/2),x)","\frac{\int \frac{a e}{\sqrt{d + e x + f x^{2}}}\, dx + \int \frac{b e x}{\sqrt{d + e x + f x^{2}}}\, dx + \int \frac{b f x^{2}}{\sqrt{d + e x + f x^{2}}}\, dx}{e}"," ",0,"(Integral(a*e/sqrt(d + e*x + f*x**2), x) + Integral(b*e*x/sqrt(d + e*x + f*x**2), x) + Integral(b*f*x**2/sqrt(d + e*x + f*x**2), x))/e","F",0
2,0,0,0,0.000000," ","integrate(1/(a+b*x+b*f*x**2/e)/(f*x**2+e*x+d)**(1/2),x)","e \int \frac{1}{a e \sqrt{d + e x + f x^{2}} + b e x \sqrt{d + e x + f x^{2}} + b f x^{2} \sqrt{d + e x + f x^{2}}}\, dx"," ",0,"e*Integral(1/(a*e*sqrt(d + e*x + f*x**2) + b*e*x*sqrt(d + e*x + f*x**2) + b*f*x**2*sqrt(d + e*x + f*x**2)), x)","F",0
3,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x+d)/(c*x**2+b*x+a)**(1/2),x)","\int \frac{1}{\sqrt{a + b x + c x^{2}} \left(b x + c x^{2} + d\right)}\, dx"," ",0,"Integral(1/(sqrt(a + b*x + c*x**2)*(b*x + c*x**2 + d)), x)","F",0
4,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x+d)**2/(c*x**2+b*x+a)**(1/2),x)","\int \frac{1}{\sqrt{a + b x + c x^{2}} \left(b x + c x^{2} + d\right)^{2}}\, dx"," ",0,"Integral(1/(sqrt(a + b*x + c*x**2)*(b*x + c*x**2 + d)**2), x)","F",0
5,-1,0,0,0.000000," ","integrate(1/(c*x**2+b*x+d)**3/(c*x**2+b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
6,-1,0,0,0.000000," ","integrate(1/(c*x**2+b*x+d)**4/(c*x**2+b*x+a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
7,-1,0,0,0.000000," ","integrate(1/(b*f*x**2+b*e*x+a*e)**2/(f*x**2+e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,0,0,0,0.000000," ","integrate(1/(x**2+2*x+4)/(x**2+2*x+5)**(1/2),x)","\int \frac{1}{\left(x^{2} + 2 x + 4\right) \sqrt{x^{2} + 2 x + 5}}\, dx"," ",0,"Integral(1/((x**2 + 2*x + 4)*sqrt(x**2 + 2*x + 5)), x)","F",0
9,-1,0,0,0.000000," ","integrate((a+1/2*e*x+c*x**2)**p*(2*c*x**2+e*x+2*a)**q,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
10,-1,0,0,0.000000," ","integrate((a+c*e*x/f+c*x**2)**p*(a*f/c+e*x+f*x**2)**q,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
11,0,0,0,0.000000," ","integrate(((1+x)**2)**(1/2)/(x**2+1)**(1/2),x)","\int \frac{\sqrt{\left(x + 1\right)^{2}}}{\sqrt{x^{2} + 1}}\, dx"," ",0,"Integral(sqrt((x + 1)**2)/sqrt(x**2 + 1), x)","F",0
12,0,0,0,0.000000," ","integrate(1/(x**2-1)**2/(x**2+x-1)**(1/2),x)","\int \frac{1}{\left(x - 1\right)^{2} \left(x + 1\right)^{2} \sqrt{x^{2} + x - 1}}\, dx"," ",0,"Integral(1/((x - 1)**2*(x + 1)**2*sqrt(x**2 + x - 1)), x)","F",0
13,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x+a)**(1/2)/(f*x**2+d)**(1/2),x)","\int \frac{1}{\sqrt{d + f x^{2}} \sqrt{a + b x + c x^{2}}}\, dx"," ",0,"Integral(1/(sqrt(d + f*x**2)*sqrt(a + b*x + c*x**2)), x)","F",0
14,0,0,0,0.000000," ","integrate((-x**2-4*x-3)**(1/2)/(2*x**2+4*x+3),x)","\int \frac{\sqrt{- \left(x + 1\right) \left(x + 3\right)}}{2 x^{2} + 4 x + 3}\, dx"," ",0,"Integral(sqrt(-(x + 1)*(x + 3))/(2*x**2 + 4*x + 3), x)","F",0
15,1,65,0,0.085542," ","integrate((2*x**2-x+3)*(5*x**2+3*x+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"," ",0,"1250*x**11/11 + 475*x**10/2 + 5075*x**9/9 + 3415*x**8/4 + 1176*x**7 + 2377*x**6/2 + 5099*x**5/5 + 656*x**4 + 1064*x**3/3 + 136*x**2 + 48*x","A",0
16,1,53,0,0.080903," ","integrate((2*x**2-x+3)*(5*x**2+3*x+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"," ",0,"250*x**9/9 + 325*x**8/8 + 720*x**7/7 + 134*x**6 + 876*x**5/5 + 579*x**4/4 + 322*x**3/3 + 50*x**2 + 24*x","A",0
17,1,41,0,0.075060," ","integrate((2*x**2-x+3)*(5*x**2+3*x+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"," ",0,"50*x**7/7 + 35*x**6/6 + 103*x**5/5 + 85*x**4/4 + 83*x**3/3 + 16*x**2 + 12*x","A",0
18,1,26,0,0.061717," ","integrate((2*x**2-x+3)*(5*x**2+3*x+2),x)","2 x^{5} + \frac{x^{4}}{4} + \frac{16 x^{3}}{3} + \frac{7 x^{2}}{2} + 6 x"," ",0,"2*x**5 + x**4/4 + 16*x**3/3 + 7*x**2/2 + 6*x","A",0
19,1,49,0,0.141117," ","integrate((2*x**2-x+3)/(5*x**2+3*x+2),x)","\frac{2 x}{5} - \frac{11 \log{\left(x^{2} + \frac{3 x}{5} + \frac{2}{5} \right)}}{50} + \frac{143 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{775}"," ",0,"2*x/5 - 11*log(x**2 + 3*x/5 + 2/5)/50 + 143*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/775","A",0
20,1,42,0,0.156801," ","integrate((2*x**2-x+3)/(5*x**2+3*x+2)**2,x)","\frac{143 x + 77}{775 x^{2} + 465 x + 310} + \frac{82 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{961}"," ",0,"(143*x + 77)/(775*x**2 + 465*x + 310) + 82*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/961","A",0
21,1,63,0,0.181745," ","integrate((2*x**2-x+3)/(5*x**2+3*x+2)**3,x)","\frac{5530 x^{3} + 4977 x^{2} + 4094 x + 1141}{48050 x^{4} + 57660 x^{3} + 55738 x^{2} + 23064 x + 7688} + \frac{1106 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{29791}"," ",0,"(5530*x**3 + 4977*x**2 + 4094*x + 1141)/(48050*x**4 + 57660*x**3 + 55738*x**2 + 23064*x + 7688) + 1106*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/29791","A",0
22,1,76,0,0.101538," ","integrate((2*x**2-x+3)**2*(5*x**2+3*x+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"," ",0,"2500*x**13/13 + 875*x**12/3 + 11525*x**11/11 + 1571*x**10 + 24859*x**9/9 + 3315*x**8 + 27763*x**7/7 + 10771*x**6/3 + 14801*x**5/5 + 1838*x**4 + 3016*x**3/3 + 384*x**2 + 144*x","A",0
23,1,63,0,0.086091," ","integrate((2*x**2-x+3)**2*(5*x**2+3*x+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"," ",0,"500*x**11/11 + 40*x**10 + 1865*x**9/9 + 1863*x**8/8 + 444*x**7 + 449*x**6 + 2693*x**5/5 + 1615*x**4/4 + 914*x**3/3 + 138*x**2 + 72*x","A",0
24,1,51,0,0.081883," ","integrate((2*x**2-x+3)**2*(5*x**2+3*x+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"," ",0,"100*x**9/9 + 5*x**8/2 + 321*x**7/7 + 86*x**6/3 + 78*x**5 + 59*x**4 + 241*x**3/3 + 42*x**2 + 36*x","A",0
25,1,41,0,0.071534," ","integrate((2*x**2-x+3)**2*(5*x**2+3*x+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"," ",0,"20*x**7/7 - 4*x**6/3 + 61*x**5/5 + x**4/4 + 53*x**3/3 + 15*x**2/2 + 18*x","A",0
26,1,63,0,0.150107," ","integrate((2*x**2-x+3)**2/(5*x**2+3*x+2),x)","\frac{4 x^{3}}{15} - \frac{16 x^{2}}{25} + \frac{381 x}{125} - \frac{1573 \log{\left(x^{2} + \frac{3 x}{5} + \frac{2}{5} \right)}}{1250} + \frac{8349 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{19375}"," ",0,"4*x**3/15 - 16*x**2/25 + 381*x/125 - 1573*log(x**2 + 3*x/5 + 2/5)/1250 + 8349*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/19375","A",0
27,1,65,0,0.198024," ","integrate((2*x**2-x+3)**2/(5*x**2+3*x+2)**2,x)","\frac{4 x}{25} + \frac{8349 x + 7381}{19375 x^{2} + 11625 x + 7750} - \frac{22 \log{\left(x^{2} + \frac{3 x}{5} + \frac{2}{5} \right)}}{125} + \frac{41932 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{120125}"," ",0,"4*x/25 + (8349*x + 7381)/(19375*x**2 + 11625*x + 7750) - 22*log(x**2 + 3*x/5 + 2/5)/125 + 41932*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/120125","A",0
28,1,63,0,0.198580," ","integrate((2*x**2-x+3)**2/(5*x**2+3*x+2)**3,x)","\frac{502810 x^{3} + 494813 x^{2} + 368764 x + 123013}{1201250 x^{4} + 1441500 x^{3} + 1393450 x^{2} + 576600 x + 192200} + \frac{4330 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{29791}"," ",0,"(502810*x**3 + 494813*x**2 + 368764*x + 123013)/(1201250*x**4 + 1441500*x**3 + 1393450*x**2 + 576600*x + 192200) + 4330*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/29791","A",0
29,1,83,0,0.228746," ","integrate((2*x**2-x+3)**2/(5*x**2+3*x+2)**4,x)","\frac{12516000 x^{5} + 18774000 x^{4} + 21491796 x^{3} + 12780597 x^{2} + 5674908 x + 1259239}{55858125 x^{6} + 100544625 x^{5} + 127356525 x^{4} + 92501055 x^{3} + 50942610 x^{2} + 16087140 x + 3574920} + \frac{66752 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{923521}"," ",0,"(12516000*x**5 + 18774000*x**4 + 21491796*x**3 + 12780597*x**2 + 5674908*x + 1259239)/(55858125*x**6 + 100544625*x**5 + 127356525*x**4 + 92501055*x**3 + 50942610*x**2 + 16087140*x + 3574920) + 66752*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/923521","A",0
30,1,92,0,0.097066," ","integrate((2*x**2-x+3)**3*(5*x**2+3*x+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"," ",0,"1000*x**15/3 + 2250*x**14/7 + 27050*x**13/13 + 30395*x**12/12 + 68583*x**11/11 + 75311*x**10/10 + 103583*x**9/9 + 94881*x**8/8 + 91349*x**7/7 + 64529*x**6/6 + 43083*x**5/5 + 5144*x**4 + 2856*x**3 + 1080*x**2 + 432*x","A",0
31,1,78,0,0.089919," ","integrate((2*x**2-x+3)**3*(5*x**2+3*x+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"," ",0,"1000*x**13/13 + 25*x**12 + 4830*x**11/11 + 3061*x**10/10 + 3316*x**9/3 + 7869*x**8/8 + 12016*x**7/7 + 2873*x**6/2 + 8292*x**5/5 + 4483*x**4/4 + 870*x**3 + 378*x**2 + 216*x","A",0
32,1,65,0,0.083543," ","integrate((2*x**2-x+3)**3*(5*x**2+3*x+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"," ",0,"200*x**11/11 - 6*x**10 + 922*x**9/9 + 83*x**8/8 + 1571*x**7/7 + 299*x**6/3 + 1416*x**5/5 + 635*x**4/4 + 237*x**3 + 108*x**2 + 108*x","A",0
33,1,53,0,0.077280," ","integrate((2*x**2-x+3)**3*(5*x**2+3*x+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"," ",0,"40*x**9/9 - 9*x**8/2 + 190*x**7/7 - 83*x**6/6 + 288*x**5/5 - 5*x**4 + 60*x**3 + 27*x**2/2 + 54*x","A",0
34,1,76,0,0.158803," ","integrate((2*x**2-x+3)**3/(5*x**2+3*x+2),x)","\frac{8 x^{5}}{25} - \frac{21 x^{4}}{25} + \frac{1222 x^{3}}{375} - \frac{7451 x^{2}}{1250} + \frac{49508 x}{3125} - \frac{158389 \log{\left(x^{2} + \frac{3 x}{5} + \frac{2}{5} \right)}}{31250} + \frac{328757 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{484375}"," ",0,"8*x**5/25 - 21*x**4/25 + 1222*x**3/375 - 7451*x**2/1250 + 49508*x/3125 - 158389*log(x**2 + 3*x/5 + 2/5)/31250 + 328757*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/484375","A",0
35,1,78,0,0.188399," ","integrate((2*x**2-x+3)**3/(5*x**2+3*x+2)**2,x)","\frac{8 x^{3}}{75} - \frac{54 x^{2}}{125} + \frac{1466 x}{625} + \frac{328757 x + 589633}{484375 x^{2} + 290625 x + 193750} - \frac{10769 \log{\left(x^{2} + \frac{3 x}{5} + \frac{2}{5} \right)}}{6250} + \frac{3819607 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{3003125}"," ",0,"8*x**3/75 - 54*x**2/125 + 1466*x/625 + (328757*x + 589633)/(484375*x**2 + 290625*x + 193750) - 10769*log(x**2 + 3*x/5 + 2/5)/6250 + 3819607*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/3003125","A",0
36,1,85,0,0.234847," ","integrate((2*x**2-x+3)**3/(5*x**2+3*x+2)**3,x)","\frac{8 x}{125} + \frac{8296728 x^{3} + 9536857 x^{2} + 6461642 x + 2554673}{6006250 x^{4} + 7207500 x^{3} + 6967250 x^{2} + 2883000 x + 961000} - \frac{66 \log{\left(x^{2} + \frac{3 x}{5} + \frac{2}{5} \right)}}{625} + \frac{11341176 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{18619375}"," ",0,"8*x/125 + (8296728*x**3 + 9536857*x**2 + 6461642*x + 2554673)/(6006250*x**4 + 7207500*x**3 + 6967250*x**2 + 2883000*x + 961000) - 66*log(x**2 + 3*x/5 + 2/5)/625 + 11341176*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/18619375","A",0
37,1,87,0,0.167082," ","integrate((5*x**2+3*x+2)**4/(2*x**2-x+3),x)","\frac{625 x^{7}}{14} + \frac{3625 x^{6}}{24} + \frac{1855 x^{5}}{8} + \frac{6245 x^{4}}{64} - \frac{21229 x^{3}}{96} - \frac{28747 x^{2}}{128} + \frac{122691 x}{128} + \frac{307461 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{512} - \frac{1156639 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{5888}"," ",0,"625*x**7/14 + 3625*x**6/24 + 1855*x**5/8 + 6245*x**4/64 - 21229*x**3/96 - 28747*x**2/128 + 122691*x/128 + 307461*log(x**2 - x/2 + 3/2)/512 - 1156639*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/5888","A",0
38,1,73,0,0.151994," ","integrate((5*x**2+3*x+2)**3/(2*x**2-x+3),x)","\frac{25 x^{5}}{2} + \frac{575 x^{4}}{16} + \frac{965 x^{3}}{24} - \frac{829 x^{2}}{32} - \frac{4795 x}{32} + \frac{1331 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{128} + \frac{59895 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{1472}"," ",0,"25*x**5/2 + 575*x**4/16 + 965*x**3/24 - 829*x**2/32 - 4795*x/32 + 1331*log(x**2 - x/2 + 3/2)/128 + 59895*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/1472","A",0
39,1,60,0,0.154726," ","integrate((5*x**2+3*x+2)**2/(2*x**2-x+3),x)","\frac{25 x^{3}}{6} + \frac{85 x^{2}}{8} + \frac{51 x}{8} - \frac{363 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{32} - \frac{847 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{368}"," ",0,"25*x**3/6 + 85*x**2/8 + 51*x/8 - 363*log(x**2 - x/2 + 3/2)/32 - 847*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/368","A",0
40,1,46,0,0.140729," ","integrate((5*x**2+3*x+2)/(2*x**2-x+3),x)","\frac{5 x}{2} + \frac{11 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{8} - \frac{33 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{92}"," ",0,"5*x/2 + 11*log(x**2 - x/2 + 3/2)/8 - 33*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/92","A",0
41,1,83,0,0.244023," ","integrate(1/(2*x**2-x+3)/(5*x**2+3*x+2),x)","- \frac{\log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{44} + \frac{\log{\left(x^{2} + \frac{3 x}{5} + \frac{2}{5} \right)}}{44} - \frac{3 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{506} + \frac{13 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{682}"," ",0,"-log(x**2 - x/2 + 3/2)/44 + log(x**2 + 3*x/5 + 2/5)/44 - 3*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/506 + 13*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/682","A",0
42,1,102,0,0.321505," ","integrate(1/(2*x**2-x+3)/(5*x**2+3*x+2)**2,x)","\frac{65 x + 4}{3410 x^{2} + 2046 x + 1364} + \frac{3 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{968} - \frac{3 \log{\left(x^{2} + \frac{3 x}{5} + \frac{2}{5} \right)}}{968} - \frac{7 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{11132} + \frac{2891 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{465124}"," ",0,"(65*x + 4)/(3410*x**2 + 2046*x + 1364) + 3*log(x**2 - x/2 + 3/2)/968 - 3*log(x**2 + 3*x/5 + 2/5)/968 - 7*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/11132 + 2891*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/465124","A",0
43,1,119,0,0.363476," ","integrate(1/(2*x**2-x+3)/(5*x**2+3*x+2)**3,x)","\frac{108025 x^{3} + 104430 x^{2} + 89144 x + 17210}{11628100 x^{4} + 13953720 x^{3} + 13488596 x^{2} + 5581488 x + 1860496} - \frac{\log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{21296} + \frac{\log{\left(x^{2} + \frac{3 x}{5} + \frac{2}{5} \right)}}{21296} + \frac{45 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{244904} + \frac{847793 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{317214568}"," ",0,"(108025*x**3 + 104430*x**2 + 89144*x + 17210)/(11628100*x**4 + 13953720*x**3 + 13488596*x**2 + 5581488*x + 1860496) - log(x**2 - x/2 + 3/2)/21296 + log(x**2 + 3*x/5 + 2/5)/21296 + 45*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/244904 + 847793*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/317214568","A",0
44,1,90,0,0.198169," ","integrate((5*x**2+3*x+2)**4/(2*x**2-x+3)**2,x)","\frac{125 x^{5}}{4} + \frac{2125 x^{4}}{16} + \frac{9775 x^{3}}{48} - \frac{1185 x^{2}}{8} - \frac{89359 x}{64} + \frac{- 1156639 x - 1478741}{5888 x^{2} - 2944 x + 8832} - \frac{30613 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{128} + \frac{13292697 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{33856}"," ",0,"125*x**5/4 + 2125*x**4/16 + 9775*x**3/48 - 1185*x**2/8 - 89359*x/64 + (-1156639*x - 1478741)/(5888*x**2 - 2944*x + 8832) - 30613*log(x**2 - x/2 + 3/2)/128 + 13292697*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/33856","A",0
45,1,75,0,0.191018," ","integrate((5*x**2+3*x+2)**3/(2*x**2-x+3)**2,x)","\frac{125 x^{3}}{12} + \frac{175 x^{2}}{4} + \frac{915 x}{16} + \frac{59895 x - 22627}{1472 x^{2} - 736 x + 2208} - \frac{2057 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{32} - \frac{223971 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{8464}"," ",0,"125*x**3/12 + 175*x**2/4 + 915*x/16 + (59895*x - 22627)/(1472*x**2 - 736*x + 2208) - 2057*log(x**2 - x/2 + 3/2)/32 - 223971*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/8464","A",0
46,1,61,0,0.188572," ","integrate((5*x**2+3*x+2)**2/(2*x**2-x+3)**2,x)","\frac{25 x}{4} + \frac{2299 - 847 x}{368 x^{2} - 184 x + 552} + \frac{55 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{8} - \frac{1859 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{2116}"," ",0,"25*x/4 + (2299 - 847*x)/(368*x**2 - 184*x + 552) + 55*log(x**2 - x/2 + 3/2)/8 - 1859*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/2116","A",0
47,1,42,0,0.154374," ","integrate((5*x**2+3*x+2)/(2*x**2-x+3)**2,x)","\frac{- 33 x - 55}{92 x^{2} - 46 x + 138} + \frac{82 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{529}"," ",0,"(-33*x - 55)/(92*x**2 - 46*x + 138) + 82*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/529","A",0
48,1,102,0,0.318752," ","integrate(1/(2*x**2-x+3)**2/(5*x**2+3*x+2),x)","\frac{13 - 6 x}{1012 x^{2} - 506 x + 1518} - \frac{13 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{968} + \frac{13 \log{\left(x^{2} + \frac{3 x}{5} + \frac{2}{5} \right)}}{968} - \frac{241 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{256036} + \frac{69 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{15004}"," ",0,"(13 - 6*x)/(1012*x**2 - 506*x + 1518) - 13*log(x**2 - x/2 + 3/2)/968 + 13*log(x**2 + 3*x/5 + 2/5)/968 - 241*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/256036 + 69*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/15004","A",0
49,1,122,0,0.359258," ","integrate(1/(2*x**2-x+3)**2/(5*x**2+3*x+2)**2,x)","\frac{6850 x^{3} - 9275 x^{2} + 11154 x - 4342}{1725460 x^{4} + 172546 x^{3} + 2760736 x^{2} + 1207822 x + 1035276} + \frac{19 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{10648} - \frac{19 \log{\left(x^{2} + \frac{3 x}{5} + \frac{2}{5} \right)}}{10648} - \frac{2769 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{2816396} + \frac{12643 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{5116364}"," ",0,"(6850*x**3 - 9275*x**2 + 11154*x - 4342)/(1725460*x**4 + 172546*x**3 + 2760736*x**2 + 1207822*x + 1035276) + 19*log(x**2 - x/2 + 3/2)/10648 - 19*log(x**2 + 3*x/5 + 2/5)/10648 - 2769*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/2816396 + 12643*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/5116364","A",0
50,1,143,0,0.400408," ","integrate(1/(2*x**2-x+3)**2/(5*x**2+3*x+2)**3,x)","\frac{39969650 x^{5} + 21652955 x^{4} + 69648769 x^{3} + 47820302 x^{2} + 42668920 x + 6976948}{11767637200 x^{6} + 8237346040 x^{5} + 24241332632 x^{4} + 20004983240 x^{3} + 19534277752 x^{2} + 7531287808 x + 2824232928} + \frac{97 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{468512} - \frac{97 \log{\left(x^{2} + \frac{3 x}{5} + \frac{2}{5} \right)}}{468512} + \frac{25557 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{123921424} + \frac{4464079 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{6978720496}"," ",0,"(39969650*x**5 + 21652955*x**4 + 69648769*x**3 + 47820302*x**2 + 42668920*x + 6976948)/(11767637200*x**6 + 8237346040*x**5 + 24241332632*x**4 + 20004983240*x**3 + 19534277752*x**2 + 7531287808*x + 2824232928) + 97*log(x**2 - x/2 + 3/2)/468512 - 97*log(x**2 + 3*x/5 + 2/5)/468512 + 25557*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/123921424 + 4464079*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/6978720496","A",0
51,1,95,0,0.240791," ","integrate((5*x**2+3*x+2)**4/(2*x**2-x+3)**3,x)","\frac{625 x^{3}}{24} + \frac{4875 x^{2}}{32} + \frac{2725 x}{8} + \frac{101715020 x^{3} - 43897711 x^{2} + 135791282 x - 6565823}{270848 x^{4} - 270848 x^{3} + 880256 x^{2} - 406272 x + 609408} - \frac{13915 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{64} - \frac{63799791 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{389344}"," ",0,"625*x**3/24 + 4875*x**2/32 + 2725*x/8 + (101715020*x**3 - 43897711*x**2 + 135791282*x - 6565823)/(270848*x**4 - 270848*x**3 + 880256*x**2 - 406272*x + 609408) - 13915*log(x**2 - x/2 + 3/2)/64 - 63799791*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/389344","A",0
52,1,82,0,0.228657," ","integrate((5*x**2+3*x+2)**3/(2*x**2-x+3)**3,x)","\frac{125 x}{8} + \frac{- 1552188 x^{3} + 3340447 x^{2} - 2921666 x + 3586319}{67712 x^{4} - 67712 x^{3} + 220064 x^{2} - 101568 x + 152352} + \frac{825 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{32} - \frac{165099 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{194672}"," ",0,"125*x/8 + (-1552188*x**3 + 3340447*x**2 - 2921666*x + 3586319)/(67712*x**4 - 67712*x**3 + 220064*x**2 - 101568*x + 152352) + 825*log(x**2 - x/2 + 3/2)/32 - 165099*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/194672","A",0
53,1,63,0,0.200564," ","integrate((5*x**2+3*x+2)**2/(2*x**2-x+3)**3,x)","\frac{- 18260 x^{3} - 44495 x^{2} - 10318 x - 53999}{16928 x^{4} - 16928 x^{3} + 55016 x^{2} - 25392 x + 38088} + \frac{4330 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{12167}"," ",0,"(-18260*x**3 - 44495*x**2 - 10318*x - 53999)/(16928*x**4 - 16928*x**3 + 55016*x**2 - 25392*x + 38088) + 4330*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/12167","A",0
54,1,61,0,0.183226," ","integrate((5*x**2+3*x+2)/(2*x**2-x+3)**3,x)","\frac{524 x^{3} - 393 x^{2} + 472 x - 829}{4232 x^{4} - 4232 x^{3} + 13754 x^{2} - 6348 x + 9522} + \frac{262 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{12167}"," ",0,"(524*x**3 - 393*x**2 + 472*x - 829)/(4232*x**4 - 4232*x**3 + 13754*x**2 - 6348*x + 9522) + 262*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/12167","A",0
55,1,122,0,0.356665," ","integrate(1/(2*x**2-x+3)**3/(5*x**2+3*x+2),x)","\frac{- 1492 x^{3} + 7996 x^{2} - 7381 x + 14164}{1024144 x^{4} - 1024144 x^{3} + 3328468 x^{2} - 1536216 x + 2304324} - \frac{119 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{21296} + \frac{119 \log{\left(x^{2} + \frac{3 x}{5} + \frac{2}{5} \right)}}{21296} + \frac{53403 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{129554216} + \frac{247 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{330088}"," ",0,"(-1492*x**3 + 7996*x**2 - 7381*x + 14164)/(1024144*x**4 - 1024144*x**3 + 3328468*x**2 - 1536216*x + 2304324) - 119*log(x**2 - x/2 + 3/2)/21296 + 119*log(x**2 + 3*x/5 + 2/5)/21296 + 53403*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/129554216 + 247*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/330088","A",0
56,1,143,0,0.426793," ","integrate(1/(2*x**2-x+3)**3/(5*x**2+3*x+2)**2,x)","\frac{- 1011260 x^{5} - 8304376 x^{4} + 5042869 x^{3} - 21674311 x^{2} + 5887820 x - 8829788}{3492331040 x^{6} - 1396932416 x^{5} + 10651609672 x^{4} + 174616552 x^{3} + 9254677256 x^{2} + 2619248280 x + 3143097936} + \frac{181 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{468512} - \frac{181 \log{\left(x^{2} + \frac{3 x}{5} + \frac{2}{5} \right)}}{468512} - \frac{2038497 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{2850192752} + \frac{246757 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{225120016}"," ",0,"(-1011260*x**5 - 8304376*x**4 + 5042869*x**3 - 21674311*x**2 + 5887820*x - 8829788)/(3492331040*x**6 - 1396932416*x**5 + 10651609672*x**4 + 174616552*x**3 + 9254677256*x**2 + 2619248280*x + 3143097936) + 181*log(x**2 - x/2 + 3/2)/468512 - 181*log(x**2 + 3*x/5 + 2/5)/468512 - 2038497*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/2850192752 + 246757*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/225120016","A",0
57,1,163,0,0.470384," ","integrate(1/(2*x**2-x+3)**3/(5*x**2+3*x+2)**3,x)","\frac{4284261000 x^{7} - 142720800 x^{6} + 11913326210 x^{5} + 4005307690 x^{4} + 11087580870 x^{3} + 4691822415 x^{2} + 5017681412 x + 470561254}{2977212211600 x^{8} + 595442442320 x^{7} + 9556851199236 x^{6} + 5120805003952 x^{5} + 11611127625240 x^{4} + 7026220819376 x^{3} + 7175081429956 x^{2} + 2500858257744 x + 1071796396176} + \frac{405 \log{\left(x^{2} - \frac{x}{2} + \frac{3}{2} \right)}}{1288408} - \frac{405 \log{\left(x^{2} + \frac{3 x}{5} + \frac{2}{5} \right)}}{1288408} + \frac{880575 \sqrt{23} \operatorname{atan}{\left(\frac{4 \sqrt{23} x}{23} - \frac{\sqrt{23}}{23} \right)}}{7838030068} + \frac{2768835 \sqrt{31} \operatorname{atan}{\left(\frac{10 \sqrt{31} x}{31} + \frac{3 \sqrt{31}}{31} \right)}}{19191481364}"," ",0,"(4284261000*x**7 - 142720800*x**6 + 11913326210*x**5 + 4005307690*x**4 + 11087580870*x**3 + 4691822415*x**2 + 5017681412*x + 470561254)/(2977212211600*x**8 + 595442442320*x**7 + 9556851199236*x**6 + 5120805003952*x**5 + 11611127625240*x**4 + 7026220819376*x**3 + 7175081429956*x**2 + 2500858257744*x + 1071796396176) + 405*log(x**2 - x/2 + 3/2)/1288408 - 405*log(x**2 + 3*x/5 + 2/5)/1288408 + 880575*sqrt(23)*atan(4*sqrt(23)*x/23 - sqrt(23)/23)/7838030068 + 2768835*sqrt(31)*atan(10*sqrt(31)*x/31 + 3*sqrt(31)/31)/19191481364","A",0
58,0,0,0,0.000000," ","integrate((5*x**2+3*x+2)**4*(2*x**2-x+3)**(1/2),x)","\int \sqrt{2 x^{2} - x + 3} \left(5 x^{2} + 3 x + 2\right)^{4}\, dx"," ",0,"Integral(sqrt(2*x**2 - x + 3)*(5*x**2 + 3*x + 2)**4, x)","F",0
59,0,0,0,0.000000," ","integrate((5*x**2+3*x+2)**3*(2*x**2-x+3)**(1/2),x)","\int \sqrt{2 x^{2} - x + 3} \left(5 x^{2} + 3 x + 2\right)^{3}\, dx"," ",0,"Integral(sqrt(2*x**2 - x + 3)*(5*x**2 + 3*x + 2)**3, x)","F",0
60,0,0,0,0.000000," ","integrate((5*x**2+3*x+2)**2*(2*x**2-x+3)**(1/2),x)","\int \sqrt{2 x^{2} - x + 3} \left(5 x^{2} + 3 x + 2\right)^{2}\, dx"," ",0,"Integral(sqrt(2*x**2 - x + 3)*(5*x**2 + 3*x + 2)**2, x)","F",0
61,0,0,0,0.000000," ","integrate((5*x**2+3*x+2)*(2*x**2-x+3)**(1/2),x)","\int \sqrt{2 x^{2} - x + 3} \left(5 x^{2} + 3 x + 2\right)\, dx"," ",0,"Integral(sqrt(2*x**2 - x + 3)*(5*x**2 + 3*x + 2), x)","F",0
62,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(1/2)/(5*x**2+3*x+2),x)","\int \frac{\sqrt{2 x^{2} - x + 3}}{5 x^{2} + 3 x + 2}\, dx"," ",0,"Integral(sqrt(2*x**2 - x + 3)/(5*x**2 + 3*x + 2), x)","F",0
63,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(1/2)/(5*x**2+3*x+2)**2,x)","\int \frac{\sqrt{2 x^{2} - x + 3}}{\left(5 x^{2} + 3 x + 2\right)^{2}}\, dx"," ",0,"Integral(sqrt(2*x**2 - x + 3)/(5*x**2 + 3*x + 2)**2, x)","F",0
64,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(1/2)/(5*x**2+3*x+2)**3,x)","\int \frac{\sqrt{2 x^{2} - x + 3}}{\left(5 x^{2} + 3 x + 2\right)^{3}}\, dx"," ",0,"Integral(sqrt(2*x**2 - x + 3)/(5*x**2 + 3*x + 2)**3, x)","F",0
65,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(3/2)*(5*x**2+3*x+2)**4,x)","\int \left(2 x^{2} - x + 3\right)^{\frac{3}{2}} \left(5 x^{2} + 3 x + 2\right)^{4}\, dx"," ",0,"Integral((2*x**2 - x + 3)**(3/2)*(5*x**2 + 3*x + 2)**4, x)","F",0
66,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(3/2)*(5*x**2+3*x+2)**3,x)","\int \left(2 x^{2} - x + 3\right)^{\frac{3}{2}} \left(5 x^{2} + 3 x + 2\right)^{3}\, dx"," ",0,"Integral((2*x**2 - x + 3)**(3/2)*(5*x**2 + 3*x + 2)**3, x)","F",0
67,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(3/2)*(5*x**2+3*x+2)**2,x)","\int \left(2 x^{2} - x + 3\right)^{\frac{3}{2}} \left(5 x^{2} + 3 x + 2\right)^{2}\, dx"," ",0,"Integral((2*x**2 - x + 3)**(3/2)*(5*x**2 + 3*x + 2)**2, x)","F",0
68,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(3/2)*(5*x**2+3*x+2),x)","\int \left(2 x^{2} - x + 3\right)^{\frac{3}{2}} \left(5 x^{2} + 3 x + 2\right)\, dx"," ",0,"Integral((2*x**2 - x + 3)**(3/2)*(5*x**2 + 3*x + 2), x)","F",0
69,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(3/2)/(5*x**2+3*x+2),x)","\int \frac{\left(2 x^{2} - x + 3\right)^{\frac{3}{2}}}{5 x^{2} + 3 x + 2}\, dx"," ",0,"Integral((2*x**2 - x + 3)**(3/2)/(5*x**2 + 3*x + 2), x)","F",0
70,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(3/2)/(5*x**2+3*x+2)**2,x)","\int \frac{\left(2 x^{2} - x + 3\right)^{\frac{3}{2}}}{\left(5 x^{2} + 3 x + 2\right)^{2}}\, dx"," ",0,"Integral((2*x**2 - x + 3)**(3/2)/(5*x**2 + 3*x + 2)**2, x)","F",0
71,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(3/2)/(5*x**2+3*x+2)**3,x)","\int \frac{\left(2 x^{2} - x + 3\right)^{\frac{3}{2}}}{\left(5 x^{2} + 3 x + 2\right)^{3}}\, dx"," ",0,"Integral((2*x**2 - x + 3)**(3/2)/(5*x**2 + 3*x + 2)**3, x)","F",0
72,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(5/2)*(5*x**2+3*x+2)**4,x)","\int \left(2 x^{2} - x + 3\right)^{\frac{5}{2}} \left(5 x^{2} + 3 x + 2\right)^{4}\, dx"," ",0,"Integral((2*x**2 - x + 3)**(5/2)*(5*x**2 + 3*x + 2)**4, x)","F",0
73,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(5/2)*(5*x**2+3*x+2)**3,x)","\int \left(2 x^{2} - x + 3\right)^{\frac{5}{2}} \left(5 x^{2} + 3 x + 2\right)^{3}\, dx"," ",0,"Integral((2*x**2 - x + 3)**(5/2)*(5*x**2 + 3*x + 2)**3, x)","F",0
74,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(5/2)*(5*x**2+3*x+2)**2,x)","\int \left(2 x^{2} - x + 3\right)^{\frac{5}{2}} \left(5 x^{2} + 3 x + 2\right)^{2}\, dx"," ",0,"Integral((2*x**2 - x + 3)**(5/2)*(5*x**2 + 3*x + 2)**2, x)","F",0
75,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(5/2)*(5*x**2+3*x+2),x)","\int \left(2 x^{2} - x + 3\right)^{\frac{5}{2}} \left(5 x^{2} + 3 x + 2\right)\, dx"," ",0,"Integral((2*x**2 - x + 3)**(5/2)*(5*x**2 + 3*x + 2), x)","F",0
76,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(5/2)/(5*x**2+3*x+2),x)","\int \frac{\left(2 x^{2} - x + 3\right)^{\frac{5}{2}}}{5 x^{2} + 3 x + 2}\, dx"," ",0,"Integral((2*x**2 - x + 3)**(5/2)/(5*x**2 + 3*x + 2), x)","F",0
77,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(5/2)/(5*x**2+3*x+2)**2,x)","\int \frac{\left(2 x^{2} - x + 3\right)^{\frac{5}{2}}}{\left(5 x^{2} + 3 x + 2\right)^{2}}\, dx"," ",0,"Integral((2*x**2 - x + 3)**(5/2)/(5*x**2 + 3*x + 2)**2, x)","F",0
78,0,0,0,0.000000," ","integrate((2*x**2-x+3)**(5/2)/(5*x**2+3*x+2)**3,x)","\int \frac{\left(2 x^{2} - x + 3\right)^{\frac{5}{2}}}{\left(5 x^{2} + 3 x + 2\right)^{3}}\, dx"," ",0,"Integral((2*x**2 - x + 3)**(5/2)/(5*x**2 + 3*x + 2)**3, x)","F",0
79,0,0,0,0.000000," ","integrate((5*x**2+3*x+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}}\, dx"," ",0,"Integral((5*x**2 + 3*x + 2)**4/sqrt(2*x**2 - x + 3), x)","F",0
80,0,0,0,0.000000," ","integrate((5*x**2+3*x+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}}\, dx"," ",0,"Integral((5*x**2 + 3*x + 2)**3/sqrt(2*x**2 - x + 3), x)","F",0
81,0,0,0,0.000000," ","integrate((5*x**2+3*x+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}}\, dx"," ",0,"Integral((5*x**2 + 3*x + 2)**2/sqrt(2*x**2 - x + 3), x)","F",0
82,0,0,0,0.000000," ","integrate((5*x**2+3*x+2)/(2*x**2-x+3)**(1/2),x)","\int \frac{5 x^{2} + 3 x + 2}{\sqrt{2 x^{2} - x + 3}}\, dx"," ",0,"Integral((5*x**2 + 3*x + 2)/sqrt(2*x**2 - x + 3), x)","F",0
83,0,0,0,0.000000," ","integrate(1/(5*x**2+3*x+2)/(2*x**2-x+3)**(1/2),x)","\int \frac{1}{\sqrt{2 x^{2} - x + 3} \left(5 x^{2} + 3 x + 2\right)}\, dx"," ",0,"Integral(1/(sqrt(2*x**2 - x + 3)*(5*x**2 + 3*x + 2)), x)","F",0
84,0,0,0,0.000000," ","integrate(1/(5*x**2+3*x+2)**2/(2*x**2-x+3)**(1/2),x)","\int \frac{1}{\sqrt{2 x^{2} - x + 3} \left(5 x^{2} + 3 x + 2\right)^{2}}\, dx"," ",0,"Integral(1/(sqrt(2*x**2 - x + 3)*(5*x**2 + 3*x + 2)**2), x)","F",0
85,0,0,0,0.000000," ","integrate(1/(5*x**2+3*x+2)**3/(2*x**2-x+3)**(1/2),x)","\int \frac{1}{\sqrt{2 x^{2} - x + 3} \left(5 x^{2} + 3 x + 2\right)^{3}}\, dx"," ",0,"Integral(1/(sqrt(2*x**2 - x + 3)*(5*x**2 + 3*x + 2)**3), x)","F",0
86,0,0,0,0.000000," ","integrate((5*x**2+3*x+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)^{\frac{3}{2}}}\, dx"," ",0,"Integral((5*x**2 + 3*x + 2)**4/(2*x**2 - x + 3)**(3/2), x)","F",0
87,0,0,0,0.000000," ","integrate((5*x**2+3*x+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)^{\frac{3}{2}}}\, dx"," ",0,"Integral((5*x**2 + 3*x + 2)**3/(2*x**2 - x + 3)**(3/2), x)","F",0
88,0,0,0,0.000000," ","integrate((5*x**2+3*x+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)^{\frac{3}{2}}}\, dx"," ",0,"Integral((5*x**2 + 3*x + 2)**2/(2*x**2 - x + 3)**(3/2), x)","F",0
89,0,0,0,0.000000," ","integrate((5*x**2+3*x+2)/(2*x**2-x+3)**(3/2),x)","\int \frac{5 x^{2} + 3 x + 2}{\left(2 x^{2} - x + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((5*x**2 + 3*x + 2)/(2*x**2 - x + 3)**(3/2), x)","F",0
90,0,0,0,0.000000," ","integrate(1/(2*x**2-x+3)**(3/2)/(5*x**2+3*x+2),x)","\int \frac{1}{\left(2 x^{2} - x + 3\right)^{\frac{3}{2}} \left(5 x^{2} + 3 x + 2\right)}\, dx"," ",0,"Integral(1/((2*x**2 - x + 3)**(3/2)*(5*x**2 + 3*x + 2)), x)","F",0
91,0,0,0,0.000000," ","integrate(1/(2*x**2-x+3)**(3/2)/(5*x**2+3*x+2)**2,x)","\int \frac{1}{\left(2 x^{2} - x + 3\right)^{\frac{3}{2}} \left(5 x^{2} + 3 x + 2\right)^{2}}\, dx"," ",0,"Integral(1/((2*x**2 - x + 3)**(3/2)*(5*x**2 + 3*x + 2)**2), x)","F",0
92,0,0,0,0.000000," ","integrate(1/(2*x**2-x+3)**(3/2)/(5*x**2+3*x+2)**3,x)","\int \frac{1}{\left(2 x^{2} - x + 3\right)^{\frac{3}{2}} \left(5 x^{2} + 3 x + 2\right)^{3}}\, dx"," ",0,"Integral(1/((2*x**2 - x + 3)**(3/2)*(5*x**2 + 3*x + 2)**3), x)","F",0
93,0,0,0,0.000000," ","integrate((5*x**2+3*x+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)^{\frac{5}{2}}}\, dx"," ",0,"Integral((5*x**2 + 3*x + 2)**4/(2*x**2 - x + 3)**(5/2), x)","F",0
94,0,0,0,0.000000," ","integrate((5*x**2+3*x+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)^{\frac{5}{2}}}\, dx"," ",0,"Integral((5*x**2 + 3*x + 2)**3/(2*x**2 - x + 3)**(5/2), x)","F",0
95,0,0,0,0.000000," ","integrate((5*x**2+3*x+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)^{\frac{5}{2}}}\, dx"," ",0,"Integral((5*x**2 + 3*x + 2)**2/(2*x**2 - x + 3)**(5/2), x)","F",0
96,0,0,0,0.000000," ","integrate((5*x**2+3*x+2)/(2*x**2-x+3)**(5/2),x)","\int \frac{5 x^{2} + 3 x + 2}{\left(2 x^{2} - x + 3\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((5*x**2 + 3*x + 2)/(2*x**2 - x + 3)**(5/2), x)","F",0
97,0,0,0,0.000000," ","integrate(1/(2*x**2-x+3)**(5/2)/(5*x**2+3*x+2),x)","\int \frac{1}{\left(2 x^{2} - x + 3\right)^{\frac{5}{2}} \left(5 x^{2} + 3 x + 2\right)}\, dx"," ",0,"Integral(1/((2*x**2 - x + 3)**(5/2)*(5*x**2 + 3*x + 2)), x)","F",0
98,0,0,0,0.000000," ","integrate(1/(2*x**2-x+3)**(5/2)/(5*x**2+3*x+2)**2,x)","\int \frac{1}{\left(2 x^{2} - x + 3\right)^{\frac{5}{2}} \left(5 x^{2} + 3 x + 2\right)^{2}}\, dx"," ",0,"Integral(1/((2*x**2 - x + 3)**(5/2)*(5*x**2 + 3*x + 2)**2), x)","F",0
99,0,0,0,0.000000," ","integrate(1/(2*x**2-x+3)**(5/2)/(5*x**2+3*x+2)**3,x)","\int \frac{1}{\left(2 x^{2} - x + 3\right)^{\frac{5}{2}} \left(5 x^{2} + 3 x + 2\right)^{3}}\, dx"," ",0,"Integral(1/((2*x**2 - x + 3)**(5/2)*(5*x**2 + 3*x + 2)**3), x)","F",0
100,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(1/2)*(f*x**2+e*x+d)**2,x)","\int \sqrt{a + b x + c x^{2}} \left(d + e x + f x^{2}\right)^{2}\, dx"," ",0,"Integral(sqrt(a + b*x + c*x**2)*(d + e*x + f*x**2)**2, x)","F",0
101,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(1/2)*(f*x**2+e*x+d),x)","\int \sqrt{a + b x + c x^{2}} \left(d + e x + f x^{2}\right)\, dx"," ",0,"Integral(sqrt(a + b*x + c*x**2)*(d + e*x + f*x**2), x)","F",0
102,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{\sqrt{a + b x + c x^{2}}}{d + e x + f x^{2}}\, dx"," ",0,"Integral(sqrt(a + b*x + c*x**2)/(d + e*x + f*x**2), x)","F",0
103,-1,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
104,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(3/2)*(f*x**2+e*x+d)**2,x)","\int \left(a + b x + c x^{2}\right)^{\frac{3}{2}} \left(d + e x + f x^{2}\right)^{2}\, dx"," ",0,"Integral((a + b*x + c*x**2)**(3/2)*(d + e*x + f*x**2)**2, x)","F",0
105,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(3/2)*(f*x**2+e*x+d),x)","\int \left(a + b x + c x^{2}\right)^{\frac{3}{2}} \left(d + e x + f x^{2}\right)\, dx"," ",0,"Integral((a + b*x + c*x**2)**(3/2)*(d + e*x + f*x**2), x)","F",0
106,-1,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(3/2)/(f*x**2+e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
107,-1,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(3/2)/(f*x**2+e*x+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
108,-1,0,0,0.000000," ","integrate((c*x**2+b*x+a)**(3/2)/(f*x**2+e*x+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
109,0,0,0,0.000000," ","integrate((f*x**2+e*x+d)**3/(c*x**2+b*x+a)**(1/2),x)","\int \frac{\left(d + e x + f x^{2}\right)^{3}}{\sqrt{a + b x + c x^{2}}}\, dx"," ",0,"Integral((d + e*x + f*x**2)**3/sqrt(a + b*x + c*x**2), x)","F",0
110,0,0,0,0.000000," ","integrate((f*x**2+e*x+d)**2/(c*x**2+b*x+a)**(1/2),x)","\int \frac{\left(d + e x + f x^{2}\right)^{2}}{\sqrt{a + b x + c x^{2}}}\, dx"," ",0,"Integral((d + e*x + f*x**2)**2/sqrt(a + b*x + c*x**2), x)","F",0
111,0,0,0,0.000000," ","integrate((f*x**2+e*x+d)/(c*x**2+b*x+a)**(1/2),x)","\int \frac{d + e x + f x^{2}}{\sqrt{a + b x + c x^{2}}}\, dx"," ",0,"Integral((d + e*x + f*x**2)/sqrt(a + b*x + c*x**2), x)","F",0
112,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d),x)","\int \frac{1}{\sqrt{a + b x + c x^{2}} \left(d + e x + f x^{2}\right)}\, dx"," ",0,"Integral(1/(sqrt(a + b*x + c*x**2)*(d + e*x + f*x**2)), x)","F",0
113,-1,0,0,0.000000," ","integrate(1/(c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
114,0,0,0,0.000000," ","integrate((f*x**2+e*x+d)**3/(c*x**2+b*x+a)**(3/2),x)","\int \frac{\left(d + e x + f x^{2}\right)^{3}}{\left(a + b x + c x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((d + e*x + f*x**2)**3/(a + b*x + c*x**2)**(3/2), x)","F",0
115,0,0,0,0.000000," ","integrate((f*x**2+e*x+d)**2/(c*x**2+b*x+a)**(3/2),x)","\int \frac{\left(d + e x + f x^{2}\right)^{2}}{\left(a + b x + c x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((d + e*x + f*x**2)**2/(a + b*x + c*x**2)**(3/2), x)","F",0
116,0,0,0,0.000000," ","integrate((f*x**2+e*x+d)/(c*x**2+b*x+a)**(3/2),x)","\int \frac{d + e x + f x^{2}}{\left(a + b x + c x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((d + e*x + f*x**2)/(a + b*x + c*x**2)**(3/2), x)","F",0
117,-1,0,0,0.000000," ","integrate(1/(c*x**2+b*x+a)**(3/2)/(f*x**2+e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
118,-1,0,0,0.000000," ","integrate((f*x**2+e*x+d)**3/(c*x**2+b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
119,-1,0,0,0.000000," ","integrate((f*x**2+e*x+d)**2/(c*x**2+b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
120,-1,0,0,0.000000," ","integrate((f*x**2+e*x+d)/(c*x**2+b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
121,0,0,0,0.000000," ","integrate(1/(5*x**2+12*x+8)/(5*x**2+2*x-7)**(1/2),x)","\int \frac{1}{\sqrt{\left(x - 1\right) \left(5 x + 7\right)} \left(5 x^{2} + 12 x + 8\right)}\, dx"," ",0,"Integral(1/(sqrt((x - 1)*(5*x + 7))*(5*x**2 + 12*x + 8)), x)","F",0
122,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x+a)**(1/2)/(f*x**2+e*x+d)**(1/2),x)","\int \frac{1}{\sqrt{a + b x + c x^{2}} \sqrt{d + e x + f x^{2}}}\, dx"," ",0,"Integral(1/(sqrt(a + b*x + c*x**2)*sqrt(d + e*x + f*x**2)), x)","F",0
123,0,0,0,0.000000," ","integrate(1/(5*x**2+3*x+2)**(1/2)/(2*x**2-x+3)**(1/2),x)","\int \frac{1}{\sqrt{2 x^{2} - x + 3} \sqrt{5 x^{2} + 3 x + 2}}\, dx"," ",0,"Integral(1/(sqrt(2*x**2 - x + 3)*sqrt(5*x**2 + 3*x + 2)), x)","F",0
