1,1,13,13,0.0190874,"\int \sqrt{1+2 x} \, dx","IntegrateAlgebraic[Sqrt[1 + 2*x],x]","\frac{1}{3} (2 x+1)^{3/2}","\frac{1}{3} (2 x+1)^{3/2}",1,"(1 + 2*x)^(3/2)/3","A",1
2,1,23,27,0.0157457,"\int x \sqrt{1+3 x} \, dx","IntegrateAlgebraic[x*Sqrt[1 + 3*x],x]","\frac{2}{135} \sqrt{3 x+1} \left(27 x^2+3 x-2\right)","\frac{2}{45} (3 x+1)^{5/2}-\frac{2}{27} (3 x+1)^{3/2}",1,"(2*Sqrt[1 + 3*x]*(-2 + 3*x + 27*x^2))/135","A",1
3,1,26,34,0.0068155,"\int x^2 \sqrt{1+x} \, dx","IntegrateAlgebraic[x^2*Sqrt[1 + x],x]","\frac{2}{105} \sqrt{x+1} \left(15 x^3+3 x^2-4 x+8\right)","\frac{2}{7} (x+1)^{7/2}-\frac{4}{5} (x+1)^{5/2}+\frac{2}{3} (x+1)^{3/2}",1,"(2*Sqrt[1 + x]*(8 - 4*x + 3*x^2 + 15*x^3))/105","A",1
4,1,18,27,0.0054662,"\int \frac{x}{\sqrt{2-3 x}} \, dx","IntegrateAlgebraic[x/Sqrt[2 - 3*x],x]","-\frac{2}{27} \sqrt{2-3 x} (3 x+4)","\frac{2}{27} (2-3 x)^{3/2}-\frac{4}{9} \sqrt{2-3 x}",1,"(-2*Sqrt[2 - 3*x]*(4 + 3*x))/27","A",1
5,1,14,14,0.010985,"\int \frac{1+x}{\left(2+2 x+x^2\right)^3} \, dx","IntegrateAlgebraic[(1 + x)/(2 + 2*x + x^2)^3,x]","-\frac{1}{4 \left(x^2+2 x+2\right)^2}","-\frac{1}{4 \left(x^2+2 x+2\right)^2}",1,"-1/4*1/(2 + 2*x + x^2)^2","A",1
6,0,0,13,0.0000293,"\int \sin ^3(x) \, dx","IntegrateAlgebraic[Sin[x]^3,x]","\int \sin ^3(x) \, dx","\frac{\cos ^3(x)}{3}-\cos (x)",1,"Could not integrate","F",-1
7,1,21,23,0.0055823,"\int \sqrt[3]{-1+z} z \, dz","IntegrateAlgebraic[(-1 + z)^(1/3)*z,z]","\frac{3}{28} \sqrt[3]{z-1} \left(4 z^2-z-3\right)","\frac{3}{7} (z-1)^{7/3}+\frac{3}{4} (z-1)^{4/3}",1,"(3*(-1 + z)^(1/3)*(-3 - z + 4*z^2))/28","A",1
8,0,0,8,0.0000291,"\int \cot (x) \csc ^2(x) \, dx","IntegrateAlgebraic[Cot[x]*Csc[x]^2,x]","\int \cot (x) \csc ^2(x) \, dx","-\frac{1}{2} \csc ^2(x)",1,"Could not integrate","F",-1
9,0,0,16,0.000035,"\int \cos (2 x) \sqrt{4-\sin (2 x)} \, dx","IntegrateAlgebraic[Cos[2*x]*Sqrt[4 - Sin[2*x]],x]","\int \cos (2 x) \sqrt{4-\sin (2 x)} \, dx","-\frac{1}{3} (4-\sin (2 x))^{3/2}",1,"Could not integrate","F",-1
10,0,0,6,0.0000299,"\int \frac{\sin (x)}{(3+\cos (x))^2} \, dx","IntegrateAlgebraic[Sin[x]/(3 + Cos[x])^2,x]","\int \frac{\sin (x)}{(3+\cos (x))^2} \, dx","\frac{1}{\cos (x)+3}",1,"Could not integrate","F",-1
11,0,0,12,0.0000286,"\int \frac{\sin (x)}{\sqrt{\cos ^3(x)}} \, dx","IntegrateAlgebraic[Sin[x]/Sqrt[Cos[x]^3],x]","\int \frac{\sin (x)}{\sqrt{\cos ^3(x)}} \, dx","\frac{2 \cos (x)}{\sqrt{\cos ^3(x)}}",1,"Could not integrate","F",-1
12,0,0,10,0.0000299,"\int \frac{\sin \left(\sqrt{1+x}\right)}{\sqrt{1+x}} \, dx","IntegrateAlgebraic[Sin[Sqrt[1 + x]]/Sqrt[1 + x],x]","\int \frac{\sin \left(\sqrt{1+x}\right)}{\sqrt{1+x}} \, dx","-2 \cos \left(\sqrt{x+1}\right)",1,"Could not integrate","F",-1
13,0,0,9,0.0000291,"\int x^{-1+n} \sin \left(x^n\right) \, dx","IntegrateAlgebraic[x^(-1 + n)*Sin[x^n],x]","\int x^{-1+n} \sin \left(x^n\right) \, dx","-\frac{\cos \left(x^n\right)}{n}",1,"Could not integrate","F",-1
14,1,15,15,0.1157277,"\int \frac{x^5}{\sqrt{1-x^6}} \, dx","IntegrateAlgebraic[x^5/Sqrt[1 - x^6],x]","-\frac{1}{3} \sqrt{1-x^6}","-\frac{1}{3} \sqrt{1-x^6}",1,"-1/3*Sqrt[1 - x^6]","A",1
15,1,19,23,0.0055263,"\int t \sqrt[4]{1+t} \, dt","IntegrateAlgebraic[t*(1 + t)^(1/4),t]","\frac{4}{45} \sqrt[4]{t+1} \left(5 t^2+t-4\right)","\frac{4}{9} (t+1)^{9/4}-\frac{4}{5} (t+1)^{5/4}",1,"(4*(1 + t)^(1/4)*(-4 + t + 5*t^2))/45","A",1
16,1,11,11,0.0201186,"\int \frac{1}{\left(1+x^2\right)^{3/2}} \, dx","IntegrateAlgebraic[(1 + x^2)^(-3/2),x]","\frac{x}{\sqrt{x^2+1}}","\frac{x}{\sqrt{x^2+1}}",1,"x/Sqrt[1 + x^2]","A",1
17,1,15,15,0.0160573,"\int x^2 \left(27+8 x^3\right)^{2/3} \, dx","IntegrateAlgebraic[x^2*(27 + 8*x^3)^(2/3),x]","\frac{1}{40} \left(8 x^3+27\right)^{5/3}","\frac{1}{40} \left(8 x^3+27\right)^{5/3}",1,"(27 + 8*x^3)^(5/3)/40","A",1
18,0,0,15,0.0000362,"\int \frac{\cos (x)+\sin (x)}{\sqrt[3]{-\cos (x)+\sin (x)}} \, dx","IntegrateAlgebraic[(Cos[x] + Sin[x])/(-Cos[x] + Sin[x])^(1/3),x]","\int \frac{\cos (x)+\sin (x)}{\sqrt[3]{-\cos (x)+\sin (x)}} \, dx","\frac{3}{2} (\sin (x)-\cos (x))^{2/3}",1,"Could not integrate","F",-1
19,1,32,32,2.8944407,"\int \frac{x}{\sqrt{1+x^2+\left(1+x^2\right)^{3/2}}} \, dx","IntegrateAlgebraic[x/Sqrt[1 + x^2 + (1 + x^2)^(3/2)],x]","\frac{2 \sqrt{\left(x^2+1\right) \left(\sqrt{x^2+1}+1\right)}}{\sqrt{x^2+1}}","\frac{2 \sqrt{\left(x^2+1\right) \left(\sqrt{x^2+1}+1\right)}}{\sqrt{x^2+1}}",1,"(2*Sqrt[(1 + x^2)*(1 + Sqrt[1 + x^2])])/Sqrt[1 + x^2]","A",1
20,1,17,17,0.0112634,"\int \frac{x}{\sqrt{1+x^2} \sqrt{1+\sqrt{1+x^2}}} \, dx","IntegrateAlgebraic[x/(Sqrt[1 + x^2]*Sqrt[1 + Sqrt[1 + x^2]]),x]","2 \sqrt{\sqrt{x^2+1}+1}","2 \sqrt{\sqrt{x^2+1}+1}",1,"2*Sqrt[1 + Sqrt[1 + x^2]]","A",1
21,1,13,16,0.0473569,"\int \frac{\sqrt[5]{1-2 x+x^2}}{1-x} \, dx","IntegrateAlgebraic[(1 - 2*x + x^2)^(1/5)/(1 - x),x]","-\frac{5}{2} \sqrt[5]{(x-1)^2}","-\frac{5}{2} \sqrt[5]{x^2-2 x+1}",1,"(-5*((-1 + x)^2)^(1/5))/2","A",1
22,0,0,8,0.0000271,"\int x \sin (x) \, dx","IntegrateAlgebraic[x*Sin[x],x]","\int x \sin (x) \, dx","\sin (x)-x \cos (x)",1,"Could not integrate","F",-1
23,0,0,17,0.0000256,"\int x^2 \sin (x) \, dx","IntegrateAlgebraic[x^2*Sin[x],x]","\int x^2 \sin (x) \, dx","x^2 (-\cos (x))+2 x \sin (x)+2 \cos (x)",1,"Could not integrate","F",-1
24,0,0,23,0.0000415,"\int x^3 \cos (x) \, dx","IntegrateAlgebraic[x^3*Cos[x],x]","\int x^3 \cos (x) \, dx","x^3 \sin (x)+3 x^2 \cos (x)-6 x \sin (x)-6 \cos (x)",1,"Could not integrate","F",-1
25,0,0,24,0.0000262,"\int x^3 \sin (x) \, dx","IntegrateAlgebraic[x^3*Sin[x],x]","\int x^3 \sin (x) \, dx","x^3 (-\cos (x))+3 x^2 \sin (x)-6 \sin (x)+6 x \cos (x)",1,"Could not integrate","F",-1
26,0,0,8,0.000027,"\int \cos (x) \sin (x) \, dx","IntegrateAlgebraic[Cos[x]*Sin[x],x]","\int \cos (x) \sin (x) \, dx","\frac{\sin ^2(x)}{2}",1,"Could not integrate","F",-1
27,0,0,23,0.0000267,"\int x \cos (x) \sin (x) \, dx","IntegrateAlgebraic[x*Cos[x]*Sin[x],x]","\int x \cos (x) \sin (x) \, dx","-\frac{x}{4}+\frac{1}{2} x \sin ^2(x)+\frac{1}{4} \sin (x) \cos (x)",1,"Could not integrate","F",-1
28,0,0,14,0.0000245,"\int \sin ^2(x) \, dx","IntegrateAlgebraic[Sin[x]^2,x]","\int \sin ^2(x) \, dx","\frac{x}{2}-\frac{1}{2} \sin (x) \cos (x)",1,"Could not integrate","F",-1
29,0,0,13,0.0000443,"\int \sin ^3(x) \, dx","IntegrateAlgebraic[Sin[x]^3,x]","\int \sin ^3(x) \, dx","\frac{\cos ^3(x)}{3}-\cos (x)",1,"Could not integrate","F",-1
30,0,0,24,0.0000408,"\int \sin ^4(x) \, dx","IntegrateAlgebraic[Sin[x]^4,x]","\int \sin ^4(x) \, dx","\frac{3 x}{8}-\frac{1}{4} \sin ^3(x) \cos (x)-\frac{3}{8} \sin (x) \cos (x)",1,"Could not integrate","F",-1
31,0,0,21,0.0000245,"\int \sin ^5(x) \, dx","IntegrateAlgebraic[Sin[x]^5,x]","\int \sin ^5(x) \, dx","-\frac{1}{5} \cos ^5(x)+\frac{2 \cos ^3(x)}{3}-\cos (x)",1,"Could not integrate","F",-1
32,0,0,34,0.000025,"\int \sin ^6(x) \, dx","IntegrateAlgebraic[Sin[x]^6,x]","\int \sin ^6(x) \, dx","\frac{5 x}{16}-\frac{1}{6} \sin ^5(x) \cos (x)-\frac{5}{24} \sin ^3(x) \cos (x)-\frac{5}{16} \sin (x) \cos (x)",1,"Could not integrate","F",-1
33,0,0,25,0.0000257,"\int x \sin ^2(x) \, dx","IntegrateAlgebraic[x*Sin[x]^2,x]","\int x \sin ^2(x) \, dx","\frac{x^2}{4}+\frac{\sin ^2(x)}{4}-\frac{1}{2} x \sin (x) \cos (x)",1,"Could not integrate","F",-1
34,0,0,33,0.0000265,"\int x \sin ^3(x) \, dx","IntegrateAlgebraic[x*Sin[x]^3,x]","\int x \sin ^3(x) \, dx","\frac{\sin ^3(x)}{9}+\frac{2 \sin (x)}{3}-\frac{2}{3} x \cos (x)-\frac{1}{3} x \sin ^2(x) \cos (x)",1,"Could not integrate","F",-1
35,0,0,41,0.0000275,"\int x^2 \sin ^2(x) \, dx","IntegrateAlgebraic[x^2*Sin[x]^2,x]","\int x^2 \sin ^2(x) \, dx","\frac{x^3}{6}-\frac{1}{2} x^2 \sin (x) \cos (x)-\frac{x}{4}+\frac{1}{2} x \sin ^2(x)+\frac{1}{4} \sin (x) \cos (x)",1,"Could not integrate","F",-1
36,0,0,14,0.000024,"\int \cos ^2(x) \, dx","IntegrateAlgebraic[Cos[x]^2,x]","\int \cos ^2(x) \, dx","\frac{x}{2}+\frac{1}{2} \sin (x) \cos (x)",1,"Could not integrate","F",-1
37,0,0,11,0.0000241,"\int \cos ^3(x) \, dx","IntegrateAlgebraic[Cos[x]^3,x]","\int \cos ^3(x) \, dx","\sin (x)-\frac{\sin ^3(x)}{3}",1,"Could not integrate","F",-1
38,0,0,24,0.0000236,"\int \cos ^4(x) \, dx","IntegrateAlgebraic[Cos[x]^4,x]","\int \cos ^4(x) \, dx","\frac{3 x}{8}+\frac{1}{4} \sin (x) \cos ^3(x)+\frac{3}{8} \sin (x) \cos (x)",1,"Could not integrate","F",-1
39,1,67,84,0.0666838,"\int \left(a^2-x^2\right)^{5/2} \, dx","IntegrateAlgebraic[(a^2 - x^2)^(5/2),x]","\frac{1}{48} \sqrt{a^2-x^2} \left(33 a^4 x-26 a^2 x^3+8 x^5\right)+\frac{5}{16} i a^6 \log \left(\sqrt{a^2-x^2}-i x\right)","\frac{5}{24} a^2 x \left(a^2-x^2\right)^{3/2}+\frac{1}{6} x \left(a^2-x^2\right)^{5/2}+\frac{5}{16} a^6 \tan ^{-1}\left(\frac{x}{\sqrt{a^2-x^2}}\right)+\frac{5}{16} a^4 x \sqrt{a^2-x^2}",1,"(Sqrt[a^2 - x^2]*(33*a^4*x - 26*a^2*x^3 + 8*x^5))/48 + ((5*I)/16)*a^6*Log[(-I)*x + Sqrt[a^2 - x^2]]","C",1
40,1,25,38,0.0103806,"\int \frac{x^5}{\sqrt{5+x^2}} \, dx","IntegrateAlgebraic[x^5/Sqrt[5 + x^2],x]","\frac{1}{15} \sqrt{x^2+5} \left(3 x^4-20 x^2+200\right)","\frac{1}{5} \left(x^2+5\right)^{5/2}-\frac{10}{3} \left(x^2+5\right)^{3/2}+25 \sqrt{x^2+5}",1,"(Sqrt[5 + x^2]*(200 - 20*x^2 + 3*x^4))/15","A",1
41,0,0,172,9.9813091,"\int \frac{t^3}{\sqrt{4+t^3}} \, dt","IntegrateAlgebraic[t^3/Sqrt[4 + t^3],t]","\int \frac{t^3}{\sqrt{4+t^3}} \, dt","\frac{2}{5} t \sqrt{t^3+4}-\frac{8\ 2^{2/3} \sqrt{2+\sqrt{3}} \left(t+2^{2/3}\right) \sqrt{\frac{t^2-2^{2/3} t+2 \sqrt[3]{2}}{\left(t+2^{2/3} \left(1+\sqrt{3}\right)\right)^2}} F\left(\sin ^{-1}\left(\frac{t+2^{2/3} \left(1-\sqrt{3}\right)}{t+2^{2/3} \left(1+\sqrt{3}\right)}\right)|-7-4 \sqrt{3}\right)}{5 \sqrt[4]{3} \sqrt{\frac{t+2^{2/3}}{\left(t+2^{2/3} \left(1+\sqrt{3}\right)\right)^2}} \sqrt{t^3+4}}",1,"Could not integrate","F",-1
42,0,0,6,0.0000337,"\int \tan ^2(x) \, dx","IntegrateAlgebraic[Tan[x]^2,x]","\int \tan ^2(x) \, dx","\tan (x)-x",1,"Could not integrate","F",-1
43,0,0,14,0.0000253,"\int \tan ^4(x) \, dx","IntegrateAlgebraic[Tan[x]^4,x]","\int \tan ^4(x) \, dx","x+\frac{\tan ^3(x)}{3}-\tan (x)",1,"Could not integrate","F",-1
44,0,0,8,0.0000249,"\int \cot ^2(x) \, dx","IntegrateAlgebraic[Cot[x]^2,x]","\int \cot ^2(x) \, dx","-x-\cot (x)",1,"Could not integrate","F",-1
45,0,0,12,0.000025,"\int \cot ^4(x) \, dx","IntegrateAlgebraic[Cot[x]^4,x]","\int \cot ^4(x) \, dx","x-\frac{1}{3} \cot ^3(x)+\cot (x)",1,"Could not integrate","F",-1
46,0,0,22,0.0000311,"\int (2+3 x) \sin (5 x) \, dx","IntegrateAlgebraic[(2 + 3*x)*Sin[5*x],x]","\int (2+3 x) \sin (5 x) \, dx","\frac{3}{25} \sin (5 x)-\frac{1}{5} (3 x+2) \cos (5 x)",1,"Could not integrate","F",-1
47,1,13,13,0.0065992,"\int x \sqrt{1+x^2} \, dx","IntegrateAlgebraic[x*Sqrt[1 + x^2],x]","\frac{1}{3} \left(x^2+1\right)^{3/2}","\frac{1}{3} \left(x^2+1\right)^{3/2}",1,"(1 + x^2)^(3/2)/3","A",1
48,1,11,13,0.0046437,"\int x \left(-1+x^2\right)^9 \, dx","IntegrateAlgebraic[x*(-1 + x^2)^9,x]","\frac{1}{20} \left(x^2-1\right)^{10}","\frac{1}{20} \left(1-x^2\right)^{10}",1,"(-1 + x^2)^10/20","A",1
49,1,16,18,0.0056684,"\int \frac{3+2 x}{(7+6 x)^3} \, dx","IntegrateAlgebraic[(3 + 2*x)/(7 + 6*x)^3,x]","\frac{-3 x-4}{9 (6 x+7)^2}","-\frac{(2 x+3)^2}{8 (6 x+7)^2}",1,"(-4 - 3*x)/(9*(7 + 6*x)^2)","A",1
50,1,32,11,0.0066488,"\int x^4 \left(1+x^5\right)^5 \, dx","IntegrateAlgebraic[x^4*(1 + x^5)^5,x]","\frac{1}{30} x^5 \left(x^{25}+6 x^{20}+15 x^{15}+20 x^{10}+15 x^5+6\right)","\frac{1}{30} \left(x^5+1\right)^6",1,"(x^5*(6 + 15*x^5 + 20*x^10 + 15*x^15 + 6*x^20 + x^25))/30","B",1
51,1,110,56,0.0124026,"\int (1-x)^{20} x^4 \, dx","IntegrateAlgebraic[(1 - x)^20*x^4,x]","\frac{10626 x^{25}-221375 x^{24}+2194500 x^{23}-13765500 x^{22}+61289250 x^{21}-205931880 x^{20}+541926000 x^{19}-1144066000 x^{18}+1968466500 x^{17}-2788660875 x^{16}+3272028760 x^{15}-3187041000 x^{14}+2574148500 x^{13}-1716099000 x^{12}+936054000 x^{11}-411863760 x^{10}+143008250 x^9-37855125 x^8+7210500 x^7-885500 x^6+53130 x^5}{265650}","-\frac{1}{25} (1-x)^{25}+\frac{1}{6} (1-x)^{24}-\frac{6}{23} (1-x)^{23}+\frac{2}{11} (1-x)^{22}-\frac{1}{21} (1-x)^{21}",1,"(53130*x^5 - 885500*x^6 + 7210500*x^7 - 37855125*x^8 + 143008250*x^9 - 411863760*x^10 + 936054000*x^11 - 1716099000*x^12 + 2574148500*x^13 - 3187041000*x^14 + 3272028760*x^15 - 2788660875*x^16 + 1968466500*x^17 - 1144066000*x^18 + 541926000*x^19 - 205931880*x^20 + 61289250*x^21 - 13765500*x^22 + 2194500*x^23 - 221375*x^24 + 10626*x^25)/265650","A",1
52,0,0,4,0.0000327,"\int \frac{\sin \left(\frac{1}{x}\right)}{x^2} \, dx","IntegrateAlgebraic[Sin[x^(-1)]/x^2,x]","\int \frac{\sin \left(\frac{1}{x}\right)}{x^2} \, dx","\cos \left(\frac{1}{x}\right)",1,"Could not integrate","F",-1
53,0,0,62,0.0000264,"\int \sin \left(\sqrt[4]{-1+x}\right) \, dx","IntegrateAlgebraic[Sin[(-1 + x)^(1/4)],x]","\int \sin \left(\sqrt[4]{-1+x}\right) \, dx","12 \sqrt{x-1} \sin \left(\sqrt[4]{x-1}\right)-24 \sin \left(\sqrt[4]{x-1}\right)-4 (x-1)^{3/4} \cos \left(\sqrt[4]{x-1}\right)+24 \sqrt[4]{x-1} \cos \left(\sqrt[4]{x-1}\right)",1,"Could not integrate","F",-1
54,0,0,10,0.0000307,"\int x \cos \left(x^2\right) \sin \left(x^2\right) \, dx","IntegrateAlgebraic[x*Cos[x^2]*Sin[x^2],x]","\int x \cos \left(x^2\right) \sin \left(x^2\right) \, dx","\frac{1}{4} \sin ^2\left(x^2\right)",1,"Could not integrate","F",-1
55,0,0,16,0.0000341,"\int \sqrt{1+3 \cos ^2(x)} \sin (2 x) \, dx","IntegrateAlgebraic[Sqrt[1 + 3*Cos[x]^2]*Sin[2*x],x]","\int \sqrt{1+3 \cos ^2(x)} \sin (2 x) \, dx","-\frac{2}{9} \left(4-3 \sin ^2(x)\right)^{3/2}",1,"Could not integrate","F",-1
56,1,10,10,0.0025918,"\int \frac{1}{2+3 x} \, dx","IntegrateAlgebraic[(2 + 3*x)^(-1),x]","\frac{1}{3} \log (3 x+2)","\frac{1}{3} \log (3 x+2)",1,"Log[2 + 3*x]/3","A",1
57,0,0,15,0.0000258,"\int \log ^2(x) \, dx","IntegrateAlgebraic[Log[x]^2,x]","\int \log ^2(x) \, dx","2 x+x \log ^2(x)-2 x \log (x)",1,"Could not integrate","F",-1
58,0,0,17,0.0000277,"\int x \log (x) \, dx","IntegrateAlgebraic[x*Log[x],x]","\int x \log (x) \, dx","\frac{1}{2} x^2 \log (x)-\frac{x^2}{4}",1,"Could not integrate","F",-1
59,0,0,28,0.0000279,"\int x \log ^2(x) \, dx","IntegrateAlgebraic[x*Log[x]^2,x]","\int x \log ^2(x) \, dx","\frac{x^2}{4}+\frac{1}{2} x^2 \log ^2(x)-\frac{1}{2} x^2 \log (x)",1,"Could not integrate","F",-1
60,1,4,4,0.0019259,"\int \frac{1}{1+t} \, dt","IntegrateAlgebraic[(1 + t)^(-1),t]","\log (t+1)","\log (t+1)",1,"Log[1 + t]","A",1
61,0,0,3,0.0000254,"\int \cot (x) \, dx","IntegrateAlgebraic[Cot[x],x]","\int \cot (x) \, dx","\log (\sin (x))",1,"Could not integrate","F",-1
62,0,0,28,0.0000404,"\int x^n \log (a x) \, dx","IntegrateAlgebraic[x^n*Log[a*x],x]","\int x^n \log (a x) \, dx","\frac{x^{n+1} \log (a x)}{n+1}-\frac{x^{n+1}}{(n+1)^2}",1,"Could not integrate","F",-1
63,0,0,28,0.0000297,"\int x^2 \log ^2(x) \, dx","IntegrateAlgebraic[x^2*Log[x]^2,x]","\int x^2 \log ^2(x) \, dx","\frac{2 x^3}{27}+\frac{1}{3} x^3 \log ^2(x)-\frac{2}{9} x^3 \log (x)",1,"Could not integrate","F",-1
64,0,0,3,0.0000315,"\int \frac{1}{x \log (x)} \, dx","IntegrateAlgebraic[1/(x*Log[x]),x]","\int \frac{1}{x \log (x)} \, dx","\log (\log (x))",1,"Could not integrate","F",-1
65,0,0,12,0.0000326,"\int \frac{\log (1-t)}{1-t} \, dt","IntegrateAlgebraic[Log[1 - t]/(1 - t),t]","\int \frac{\log (1-t)}{1-t} \, dt","-\frac{1}{2} \log ^2(1-t)",1,"Could not integrate","F",-1
66,0,0,23,0.0000326,"\int \frac{\log (x)}{x \sqrt{1+\log (x)}} \, dx","IntegrateAlgebraic[Log[x]/(x*Sqrt[1 + Log[x]]),x]","\int \frac{\log (x)}{x \sqrt{1+\log (x)}} \, dx","\frac{2}{3} (\log (x)+1)^{3/2}-2 \sqrt{\log (x)+1}",1,"Could not integrate","F",-1
67,0,0,39,0.0000289,"\int x^3 \log ^3(x) \, dx","IntegrateAlgebraic[x^3*Log[x]^3,x]","\int x^3 \log ^3(x) \, dx","-\frac{3 x^4}{128}+\frac{1}{4} x^4 \log ^3(x)-\frac{3}{16} x^4 \log ^2(x)+\frac{3}{32} x^4 \log (x)",1,"Could not integrate","F",-1
68,0,0,9,0.0001226,"\int e^{x^3} x^2 \, dx","IntegrateAlgebraic[E^x^3*x^2,x]","\int e^{x^3} x^2 \, dx","\frac{e^{x^3}}{3}",1,"Could not integrate","F",-1
69,0,0,14,0.0000523,"\int \frac{2^{\sqrt{x}}}{\sqrt{x}} \, dx","IntegrateAlgebraic[2^Sqrt[x]/Sqrt[x],x]","\int \frac{2^{\sqrt{x}}}{\sqrt{x}} \, dx","\frac{2^{\sqrt{x}+1}}{\log (2)}",1,"Could not integrate","F",-1
70,0,0,10,0.0000315,"\int e^{2 \sin (x)} \cos (x) \, dx","IntegrateAlgebraic[E^(2*Sin[x])*Cos[x],x]","\int e^{2 \sin (x)} \cos (x) \, dx","\frac{1}{2} e^{2 \sin (x)}",1,"Could not integrate","F",-1
71,0,0,19,0.0000292,"\int e^x \sin (x) \, dx","IntegrateAlgebraic[E^x*Sin[x],x]","\int e^x \sin (x) \, dx","\frac{1}{2} e^x \sin (x)-\frac{1}{2} e^x \cos (x)",1,"Could not integrate","F",-1
72,0,0,19,0.000028,"\int e^x \cos (x) \, dx","IntegrateAlgebraic[E^x*Cos[x],x]","\int e^x \cos (x) \, dx","\frac{1}{2} e^x \sin (x)+\frac{1}{2} e^x \cos (x)",1,"Could not integrate","F",-1
73,0,0,10,0.0000488,"\int \frac{1}{1+e^x} \, dx","IntegrateAlgebraic[(1 + E^x)^(-1),x]","\int \frac{1}{1+e^x} \, dx","x-\log \left(e^x+1\right)",1,"Could not integrate","F",-1
74,0,0,11,0.000043,"\int e^x x \, dx","IntegrateAlgebraic[E^x*x,x]","\int e^x x \, dx","e^x x-e^x",1,"Could not integrate","F",-1
75,0,0,16,0.000055,"\int e^{-x} x \, dx","IntegrateAlgebraic[x/E^x,x]","\int e^{-x} x \, dx","-e^{-x} x-e^{-x}",1,"Could not integrate","F",-1
76,0,0,19,0.0000488,"\int e^x x^2 \, dx","IntegrateAlgebraic[E^x*x^2,x]","\int e^x x^2 \, dx","e^x x^2-2 e^x x+2 e^x",1,"Could not integrate","F",-1
77,0,0,32,0.0000509,"\int e^{-2 x} x^2 \, dx","IntegrateAlgebraic[x^2/E^(2*x),x]","\int e^{-2 x} x^2 \, dx","-\frac{1}{2} e^{-2 x} x^2-\frac{1}{2} e^{-2 x} x-\frac{e^{-2 x}}{4}",1,"Could not integrate","F",-1
78,0,0,24,0.000046,"\int e^{\sqrt{x}} \, dx","IntegrateAlgebraic[E^Sqrt[x],x]","\int e^{\sqrt{x}} \, dx","2 e^{\sqrt{x}} \sqrt{x}-2 e^{\sqrt{x}}",1,"Could not integrate","F",-1
79,0,0,26,0.0000541,"\int e^{-x^2} x^3 \, dx","IntegrateAlgebraic[x^3/E^x^2,x]","\int e^{-x^2} x^3 \, dx","-\frac{1}{2} e^{-x^2} x^2-\frac{e^{-x^2}}{2}",1,"Could not integrate","F",-1
80,0,0,41,0.0000347,"\int e^{a x} \cos (b x) \, dx","IntegrateAlgebraic[E^(a*x)*Cos[b*x],x]","\int e^{a x} \cos (b x) \, dx","\frac{b e^{a x} \sin (b x)}{a^2+b^2}+\frac{a e^{a x} \cos (b x)}{a^2+b^2}",1,"Could not integrate","F",-1
81,0,0,42,0.0000369,"\int e^{a x} \sin (b x) \, dx","IntegrateAlgebraic[E^(a*x)*Sin[b*x],x]","\int e^{a x} \sin (b x) \, dx","\frac{a e^{a x} \sin (b x)}{a^2+b^2}-\frac{b e^{a x} \cos (b x)}{a^2+b^2}",1,"Could not integrate","F",-1
82,0,0,15,0.0000273,"\int \cot ^{-1}(x) \, dx","IntegrateAlgebraic[ArcCot[x],x]","\int \cot ^{-1}(x) \, dx","\frac{1}{2} \log \left(x^2+1\right)+x \cot ^{-1}(x)",1,"Could not integrate","F",-1
83,0,0,19,0.0000242,"\int \sec ^{-1}(x) \, dx","IntegrateAlgebraic[ArcSec[x],x]","\int \sec ^{-1}(x) \, dx","x \sec ^{-1}(x)-\tanh ^{-1}\left(\sqrt{1-\frac{1}{x^2}}\right)",1,"Could not integrate","F",-1
84,0,0,17,0.0000422,"\int \csc ^{-1}(x) \, dx","IntegrateAlgebraic[ArcCsc[x],x]","\int \csc ^{-1}(x) \, dx","\tanh ^{-1}\left(\sqrt{1-\frac{1}{x^2}}\right)+x \csc ^{-1}(x)",1,"Could not integrate","F",-1
85,0,0,25,0.0000269,"\int \sin ^{-1}(x)^2 \, dx","IntegrateAlgebraic[ArcSin[x]^2,x]","\int \sin ^{-1}(x)^2 \, dx","2 \sqrt{1-x^2} \sin ^{-1}(x)-2 x+x \sin ^{-1}(x)^2",1,"Could not integrate","F",-1
86,0,0,22,0.0000272,"\int \frac{\sin ^{-1}(x)}{x^2} \, dx","IntegrateAlgebraic[ArcSin[x]/x^2,x]","\int \frac{\sin ^{-1}(x)}{x^2} \, dx","-\tanh ^{-1}\left(\sqrt{1-x^2}\right)-\frac{\sin ^{-1}(x)}{x}",1,"Could not integrate","F",-1
87,1,24,16,0.0273659,"\int \frac{1}{\sqrt{a^2-x^2}} \, dx","IntegrateAlgebraic[1/Sqrt[a^2 - x^2],x]","i \log \left(\sqrt{a^2-x^2}-i x\right)","\tan ^{-1}\left(\frac{x}{\sqrt{a^2-x^2}}\right)",1,"I*Log[(-I)*x + Sqrt[a^2 - x^2]]","C",1
88,1,23,10,0.0932197,"\int \frac{1}{\sqrt{1-2 x-x^2}} \, dx","IntegrateAlgebraic[1/Sqrt[1 - 2*x - x^2],x]","2 \tan ^{-1}\left(\frac{x}{\sqrt{-x^2-2 x+1}-1}\right)","\sin ^{-1}\left(\frac{x+1}{\sqrt{2}}\right)",1,"2*ArcTan[x/(-1 + Sqrt[1 - 2*x - x^2])]","B",1
89,1,10,10,0.0041388,"\int \frac{1}{a^2+x^2} \, dx","IntegrateAlgebraic[(a^2 + x^2)^(-1),x]","\frac{\tan ^{-1}\left(\frac{x}{a}\right)}{a}","\frac{\tan ^{-1}\left(\frac{x}{a}\right)}{a}",1,"ArcTan[x/a]/a","A",1
90,1,24,24,0.0081988,"\int \frac{1}{a+b x^2} \, dx","IntegrateAlgebraic[(a + b*x^2)^(-1),x]","\frac{\tan ^{-1}\left(\frac{\sqrt{b} x}{\sqrt{a}}\right)}{\sqrt{a} \sqrt{b}}","\frac{\tan ^{-1}\left(\frac{\sqrt{b} x}{\sqrt{a}}\right)}{\sqrt{a} \sqrt{b}}",1,"ArcTan[(Sqrt[b]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[b])","A",1
91,1,22,19,0.0127035,"\int \frac{1}{2-x+x^2} \, dx","IntegrateAlgebraic[(2 - x + x^2)^(-1),x]","-\frac{2 \tan ^{-1}\left(\frac{1}{\sqrt{7}}-\frac{2 x}{\sqrt{7}}\right)}{\sqrt{7}}","-\frac{2 \tan ^{-1}\left(\frac{1-2 x}{\sqrt{7}}\right)}{\sqrt{7}}",1,"(-2*ArcTan[1/Sqrt[7] - (2*x)/Sqrt[7]])/Sqrt[7]","A",1
92,0,0,21,0.0000316,"\int x \tan ^{-1}(x) \, dx","IntegrateAlgebraic[x*ArcTan[x],x]","\int x \tan ^{-1}(x) \, dx","\frac{1}{2} x^2 \tan ^{-1}(x)-\frac{x}{2}+\frac{1}{2} \tan ^{-1}(x)",1,"Could not integrate","F",-1
93,0,0,40,0.0000836,"\int x^2 \cos ^{-1}(x) \, dx","IntegrateAlgebraic[x^2*ArcCos[x],x]","\int x^2 \cos ^{-1}(x) \, dx","\frac{1}{3} x^3 \cos ^{-1}(x)+\frac{1}{9} \left(1-x^2\right)^{3/2}-\frac{\sqrt{1-x^2}}{3}",1,"Could not integrate","F",-1
94,0,0,35,0.0000279,"\int x \tan ^{-1}(x)^2 \, dx","IntegrateAlgebraic[x*ArcTan[x]^2,x]","\int x \tan ^{-1}(x)^2 \, dx","\frac{1}{2} \log \left(x^2+1\right)+\frac{1}{2} x^2 \tan ^{-1}(x)^2+\frac{1}{2} \tan ^{-1}(x)^2-x \tan ^{-1}(x)",1,"Could not integrate","F",-1
95,0,0,22,0.0000266,"\int \tan ^{-1}\left(\sqrt{x}\right) \, dx","IntegrateAlgebraic[ArcTan[Sqrt[x]],x]","\int \tan ^{-1}\left(\sqrt{x}\right) \, dx","-\sqrt{x}+x \tan ^{-1}\left(\sqrt{x}\right)+\tan ^{-1}\left(\sqrt{x}\right)",1,"Could not integrate","F",-1
96,0,0,8,0.000048,"\int \frac{\tan ^{-1}\left(\sqrt{x}\right)}{\sqrt{x} (1+x)} \, dx","IntegrateAlgebraic[ArcTan[Sqrt[x]]/(Sqrt[x]*(1 + x)),x]","\int \frac{\tan ^{-1}\left(\sqrt{x}\right)}{\sqrt{x} (1+x)} \, dx","\tan ^{-1}\left(\sqrt{x}\right)^2",1,"Could not integrate","F",-1
97,1,37,23,0.0380403,"\int \sqrt{1-x^2} \, dx","IntegrateAlgebraic[Sqrt[1 - x^2],x]","\frac{1}{2} x \sqrt{1-x^2}-\tan ^{-1}\left(\frac{\sqrt{1-x^2}}{x+1}\right)","\frac{1}{2} \sqrt{1-x^2} x+\frac{1}{2} \sin ^{-1}(x)",1,"(x*Sqrt[1 - x^2])/2 - ArcTan[Sqrt[1 - x^2]/(1 + x)]","A",1
98,0,0,22,0.0000369,"\int \frac{e^{\tan ^{-1}(x)} x}{\left(1+x^2\right)^{3/2}} \, dx","IntegrateAlgebraic[(E^ArcTan[x]*x)/(1 + x^2)^(3/2),x]","\int \frac{e^{\tan ^{-1}(x)} x}{\left(1+x^2\right)^{3/2}} \, dx","-\frac{(1-x) e^{\tan ^{-1}(x)}}{2 \sqrt{x^2+1}}",1,"Could not integrate","F",-1
99,0,0,20,0.0000483,"\int \frac{e^{\tan ^{-1}(x)}}{\left(1+x^2\right)^{3/2}} \, dx","IntegrateAlgebraic[E^ArcTan[x]/(1 + x^2)^(3/2),x]","\int \frac{e^{\tan ^{-1}(x)}}{\left(1+x^2\right)^{3/2}} \, dx","\frac{(x+1) e^{\tan ^{-1}(x)}}{2 \sqrt{x^2+1}}",1,"Could not integrate","F",-1
100,1,19,19,0.0110305,"\int \frac{x^2}{\left(1+x^2\right)^2} \, dx","IntegrateAlgebraic[x^2/(1 + x^2)^2,x]","\frac{1}{2} \tan ^{-1}(x)-\frac{x}{2 \left(x^2+1\right)}","\frac{1}{2} \tan ^{-1}(x)-\frac{x}{2 \left(x^2+1\right)}",1,"-1/2*x/(1 + x^2) + ArcTan[x]/2","A",1
101,0,0,4,0.0000572,"\int \frac{e^x}{1+e^{2 x}} \, dx","IntegrateAlgebraic[E^x/(1 + E^(2*x)),x]","\int \frac{e^x}{1+e^{2 x}} \, dx","\tan ^{-1}\left(e^x\right)",1,"Could not integrate","F",-1
102,0,0,27,0.0000297,"\int e^{-x} \cot ^{-1}\left(e^x\right) \, dx","IntegrateAlgebraic[ArcCot[E^x]/E^x,x]","\int e^{-x} \cot ^{-1}\left(e^x\right) \, dx","-x+\frac{1}{2} \log \left(e^{2 x}+1\right)-e^{-x} \cot ^{-1}\left(e^x\right)",1,"Could not integrate","F",-1
103,1,41,42,0.0264812,"\int \sqrt{\frac{a+x}{a-x}} \, dx","IntegrateAlgebraic[Sqrt[(a + x)/(a - x)],x]","\sqrt{\frac{a+x}{a-x}} (x-a)+2 a \tan ^{-1}\left(\sqrt{\frac{a+x}{a-x}}\right)","2 a \tan ^{-1}\left(\sqrt{\frac{a+x}{a-x}}\right)-(a-x) \sqrt{\frac{a+x}{a-x}}",1,"(-a + x)*Sqrt[(a + x)/(a - x)] + 2*a*ArcTan[Sqrt[(a + x)/(a - x)]]","A",1
104,1,150,71,0.3267271,"\int \sqrt{(b-x) (-a+x)} \, dx","IntegrateAlgebraic[Sqrt[(b - x)*(-a + x)],x]","\frac{1}{16} i \left(a^2-2 a b+b^2\right) \log \left(a^2-8 i x \sqrt{x (a+b)-a b-x^2}-2 a b+4 a x+b^2+4 b x-8 x^2\right)+\frac{1}{8} \left(a^2-2 a b+b^2\right) \tan ^{-1}\left(\frac{2 \sqrt{x (a+b)-a b-x^2}-2 i x}{a+b}\right)+\frac{1}{4} \sqrt{-a b+a x+b x-x^2} (-a-b+2 x)","-\frac{1}{4} (a+b-2 x) \sqrt{x (a+b)-a b-x^2}-\frac{1}{8} (a-b)^2 \tan ^{-1}\left(\frac{a+b-2 x}{2 \sqrt{x (a+b)-a b-x^2}}\right)",1,"((-a - b + 2*x)*Sqrt[-(a*b) + a*x + b*x - x^2])/4 + ((a^2 - 2*a*b + b^2)*ArcTan[((-2*I)*x + 2*Sqrt[-(a*b) + (a + b)*x - x^2])/(a + b)])/8 + (I/16)*(a^2 - 2*a*b + b^2)*Log[a^2 - 2*a*b + b^2 + 4*a*x + 4*b*x - 8*x^2 - (8*I)*x*Sqrt[-(a*b) + (a + b)*x - x^2]]","C",1
105,1,34,32,0.2466738,"\int \frac{1}{\sqrt{(b-x) (-a+x)}} \, dx","IntegrateAlgebraic[1/Sqrt[(b - x)*(-a + x)],x]","i \log \left(-2 i \sqrt{x (a+b)-a b-x^2}+a+b-2 x\right)","-\tan ^{-1}\left(\frac{a+b-2 x}{2 \sqrt{x (a+b)-a b-x^2}}\right)",1,"I*Log[a + b - 2*x - (2*I)*Sqrt[-(a*b) + (a + b)*x - x^2]]","C",1
106,1,13,15,0.0061425,"\int \frac{3+5 x}{-3+2 x+x^2} \, dx","IntegrateAlgebraic[(3 + 5*x)/(-3 + 2*x + x^2),x]","2 \log (x-1)+3 \log (x+3)","2 \log (1-x)+3 \log (x+3)",1,"2*Log[-1 + x] + 3*Log[3 + x]","A",1
107,1,17,19,0.0057127,"\int \frac{5+2 x}{-3+2 x+x^2} \, dx","IntegrateAlgebraic[(5 + 2*x)/(-3 + 2*x + x^2),x]","\frac{7}{4} \log (x-1)+\frac{1}{4} \log (x+3)","\frac{7}{4} \log (1-x)+\frac{1}{4} \log (x+3)",1,"(7*Log[-1 + x])/4 + Log[3 + x]/4","A",1
108,1,19,23,0.0077618,"\int \frac{3 x+x^3}{-3-2 x+x^2} \, dx","IntegrateAlgebraic[(3*x + x^3)/(-3 - 2*x + x^2),x]","\frac{1}{2} x (x+4)+9 \log (x-3)+\log (x+1)","\frac{x^2}{2}+2 x+9 \log (3-x)+\log (x+1)",1,"(x*(4 + x))/2 + 9*Log[-3 + x] + Log[1 + x]","A",1
109,1,13,23,0.0089135,"\int \frac{-1+5 x+2 x^2}{-2 x+x^2+x^3} \, dx","IntegrateAlgebraic[(-1 + 5*x + 2*x^2)/(-2*x + x^2 + x^3),x]","2 \log (x-1)-\tanh ^{-1}(x+1)","2 \log (1-x)+\frac{\log (x)}{2}-\frac{1}{2} \log (x+2)",1,"-ArcTanh[1 + x] + 2*Log[-1 + x]","A",1
110,1,22,24,0.0130572,"\int \frac{3+2 x+x^2}{(-1+x) (1+x)^2} \, dx","IntegrateAlgebraic[(3 + 2*x + x^2)/((-1 + x)*(1 + x)^2),x]","\frac{1}{x+1}+\frac{3}{2} \log (x-1)-\frac{1}{2} \log (x+1)","\frac{1}{x+1}+\frac{3}{2} \log (1-x)-\frac{1}{2} \log (x+1)",1,"(1 + x)^(-1) + (3*Log[-1 + x])/2 - Log[1 + x]/2","A",1
111,1,29,28,0.0187605,"\int \frac{-2+2 x+3 x^2}{-1+x^3} \, dx","IntegrateAlgebraic[(-2 + 2*x + 3*x^2)/(-1 + x^3),x]","\log \left(x^3-1\right)+\frac{4 \tan ^{-1}\left(\frac{2 x}{\sqrt{3}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3}}","\log \left(1-x^3\right)+\frac{4 \tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)}{\sqrt{3}}",1,"(4*ArcTan[1/Sqrt[3] + (2*x)/Sqrt[3]])/Sqrt[3] + Log[-1 + x^3]","A",1
112,1,47,49,0.0417294,"\int \frac{2-x+2 x^2-x^3+x^4}{(-1+x) \left(2+x^2\right)^2} \, dx","IntegrateAlgebraic[(2 - x + 2*x^2 - x^3 + x^4)/((-1 + x)*(2 + x^2)^2),x]","\frac{1}{2 \left(x^2+2\right)}+\frac{1}{3} \log \left(x^2+2\right)+\frac{1}{3} \log (x-1)-\frac{\tan ^{-1}\left(\frac{x}{\sqrt{2}}\right)}{3 \sqrt{2}}","\frac{1}{2 \left(x^2+2\right)}+\frac{1}{3} \log \left(x^2+2\right)+\frac{1}{3} \log (1-x)-\frac{\tan ^{-1}\left(\frac{x}{\sqrt{2}}\right)}{3 \sqrt{2}}",1,"1/(2*(2 + x^2)) - ArcTan[x/Sqrt[2]]/(3*Sqrt[2]) + Log[-1 + x]/3 + Log[2 + x^2]/3","A",1
113,0,0,21,0.000035,"\int \frac{1}{\cos (x)+\sin (x)} \, dx","IntegrateAlgebraic[(Cos[x] + Sin[x])^(-1),x]","\int \frac{1}{\cos (x)+\sin (x)} \, dx","-\frac{\tanh ^{-1}\left(\frac{\cos (x)-\sin (x)}{\sqrt{2}}\right)}{\sqrt{2}}",1,"Could not integrate","F",-1
114,1,16,16,0.0136506,"\int \frac{x}{4-x^2+\sqrt{4-x^2}} \, dx","IntegrateAlgebraic[x/(4 - x^2 + Sqrt[4 - x^2]),x]","-\log \left(\sqrt{4-x^2}+1\right)","-\log \left(\sqrt{4-x^2}+1\right)",1,"-Log[1 + Sqrt[4 - x^2]]","A",1
115,1,9,11,0.0055513,"\int \frac{3+2 x}{(-2+x) (5+x)} \, dx","IntegrateAlgebraic[(3 + 2*x)/((-2 + x)*(5 + x)),x]","\log (x-2)+\log (x+5)","\log (2-x)+\log (x+5)",1,"Log[-2 + x] + Log[5 + x]","A",1
116,1,23,23,0.0085801,"\int \frac{x}{(1+x) (2+x) (3+x)} \, dx","IntegrateAlgebraic[x/((1 + x)*(2 + x)*(3 + x)),x]","-\frac{1}{2} \log (x+1)+2 \log (x+2)-\frac{3}{2} \log (x+3)","-\frac{1}{2} \log (x+1)+2 \log (x+2)-\frac{3}{2} \log (x+3)",1,"-1/2*Log[1 + x] + 2*Log[2 + x] - (3*Log[3 + x])/2","A",1
117,1,26,30,0.0139755,"\int \frac{x}{2-3 x+x^3} \, dx","IntegrateAlgebraic[x/(2 - 3*x + x^3),x]","-\frac{1}{3 (x-1)}+\frac{2}{9} \log (x-1)-\frac{2}{9} \log (x+2)","\frac{1}{3 (1-x)}+\frac{2}{9} \log (1-x)-\frac{2}{9} \log (x+2)",1,"-1/3*1/(-1 + x) + (2*Log[-1 + x])/9 - (2*Log[2 + x])/9","A",1
118,1,23,27,0.0092214,"\int \frac{-6+2 x+x^4}{-2 x+x^2+x^3} \, dx","IntegrateAlgebraic[(-6 + 2*x + x^4)/(-2*x + x^2 + x^3),x]","\frac{1}{2} (x-2) x-\log (x-1)+3 \log (x)+\log (x+2)","\frac{x^2}{2}-x-\log (1-x)+3 \log (x)+\log (x+2)",1,"((-2 + x)*x)/2 - Log[-1 + x] + 3*Log[x] + Log[2 + x]","A",1
119,1,15,23,0.0142289,"\int \frac{7+8 x^3}{(1+x) (1+2 x)^3} \, dx","IntegrateAlgebraic[(7 + 8*x^3)/((1 + x)*(1 + 2*x)^3),x]","\frac{6 x}{(2 x+1)^2}+\log (x+1)","\frac{3}{2 x+1}-\frac{3}{(2 x+1)^2}+\log (x+1)",1,"(6*x)/(1 + 2*x)^2 + Log[1 + x]","A",1
120,1,14,16,0.0067071,"\int \frac{1+x+4 x^2}{-1+x^3} \, dx","IntegrateAlgebraic[(1 + x + 4*x^2)/(-1 + x^3),x]","\log \left(x^2+x+1\right)+2 \log (x-1)","\log \left(x^2+x+1\right)+2 \log (1-x)",1,"2*Log[-1 + x] + Log[1 + x + x^2]","A",1
121,1,18,18,0.0094442,"\int \frac{x^4}{4+5 x^2+x^4} \, dx","IntegrateAlgebraic[x^4/(4 + 5*x^2 + x^4),x]","x-\frac{8}{3} \tan ^{-1}\left(\frac{x}{2}\right)+\frac{1}{3} \tan ^{-1}(x)","x-\frac{8}{3} \tan ^{-1}\left(\frac{x}{2}\right)+\frac{1}{3} \tan ^{-1}(x)",1,"x - (8*ArcTan[x/2])/3 + ArcTan[x]/3","A",1
122,1,11,11,0.0043836,"\int \frac{2+x}{x+x^2} \, dx","IntegrateAlgebraic[(2 + x)/(x + x^2),x]","2 \log (x)-\log (x+1)","2 \log (x)-\log (x+1)",1,"2*Log[x] - Log[1 + x]","A",1
123,1,24,24,0.0120994,"\int \frac{1}{x \left(1+x^2\right)^2} \, dx","IntegrateAlgebraic[1/(x*(1 + x^2)^2),x]","\frac{1}{2 \left(x^2+1\right)}-\frac{1}{2} \log \left(x^2+1\right)+\log (x)","\frac{1}{2 \left(x^2+1\right)}-\frac{1}{2} \log \left(x^2+1\right)+\log (x)",1,"1/(2*(1 + x^2)) + Log[x] - Log[1 + x^2]/2","A",1
124,1,47,46,0.023521,"\int \frac{1}{(1+x) (2+x)^2 (3+x)^3} \, dx","IntegrateAlgebraic[1/((1 + x)*(2 + x)^2*(3 + x)^3),x]","\frac{9 x^2+50 x+68}{4 (x+2) (x+3)^2}+\frac{1}{8} \log (x+1)+2 \log (x+2)-\frac{17}{8} \log (x+3)","\frac{1}{x+2}+\frac{5}{4 (x+3)}+\frac{1}{4 (x+3)^2}+\frac{1}{8} \log (x+1)+2 \log (x+2)-\frac{17}{8} \log (x+3)",1,"(68 + 50*x + 9*x^2)/(4*(2 + x)*(3 + x)^2) + Log[1 + x]/8 + 2*Log[2 + x] - (17*Log[3 + x])/8","A",1
125,1,10,10,0.0048325,"\int \frac{x}{(1+x)^2} \, dx","IntegrateAlgebraic[x/(1 + x)^2,x]","\frac{1}{x+1}+\log (x+1)","\frac{1}{x+1}+\log (x+1)",1,"(1 + x)^(-1) + Log[1 + x]","A",1
126,1,15,17,0.0047968,"\int \frac{1}{-x+x^3} \, dx","IntegrateAlgebraic[(-x + x^3)^(-1),x]","\frac{1}{2} \log \left(x^2-1\right)-\log (x)","\frac{1}{2} \log \left(1-x^2\right)-\log (x)",1,"-Log[x] + Log[-1 + x^2]/2","A",1
127,1,18,20,0.0057836,"\int \frac{x^2}{-6+x+x^2} \, dx","IntegrateAlgebraic[x^2/(-6 + x + x^2),x]","x+\frac{4}{5} \log (x-2)-\frac{9}{5} \log (x+3)","x+\frac{4}{5} \log (2-x)-\frac{9}{5} \log (x+3)",1,"x + (4*Log[-2 + x])/5 - (9*Log[3 + x])/5","A",1
128,1,12,16,0.0060353,"\int \frac{2+x}{4-4 x+x^2} \, dx","IntegrateAlgebraic[(2 + x)/(4 - 4*x + x^2),x]","\log (x-2)-\frac{4}{x-2}","\frac{4}{2-x}+\log (2-x)",1,"-4/(-2 + x) + Log[-2 + x]","A",1
129,1,14,14,0.0109715,"\int \frac{1}{\left(4-4 x+x^2\right) \left(5-4 x+x^2\right)} \, dx","IntegrateAlgebraic[1/((4 - 4*x + x^2)*(5 - 4*x + x^2)),x]","\frac{1}{2-x}+\tan ^{-1}(2-x)","\frac{1}{2-x}+\tan ^{-1}(2-x)",1,"(2 - x)^(-1) + ArcTan[2 - x]","A",1
130,1,21,21,0.0083248,"\int \frac{-3+x}{2 x+3 x^2+x^3} \, dx","IntegrateAlgebraic[(-3 + x)/(2*x + 3*x^2 + x^3),x]","-\frac{3 \log (x)}{2}+4 \log (x+1)-\frac{5}{2} \log (x+2)","-\frac{3 \log (x)}{2}+4 \log (x+1)-\frac{5}{2} \log (x+2)",1,"(-3*Log[x])/2 + 4*Log[1 + x] - (5*Log[2 + x])/2","A",1
131,1,19,21,0.0121732,"\int \frac{1}{\left(-1+x^2\right)^2} \, dx","IntegrateAlgebraic[(-1 + x^2)^(-2),x]","\frac{1}{2} \tanh ^{-1}(x)-\frac{x}{2 \left(x^2-1\right)}","\frac{x}{2 \left(1-x^2\right)}+\frac{1}{2} \tanh ^{-1}(x)",1,"-1/2*x/(-1 + x^2) + ArcTanh[x]/2","A",1
132,1,20,22,0.0055358,"\int \frac{1+x}{-1+x^3} \, dx","IntegrateAlgebraic[(1 + x)/(-1 + x^3),x]","\frac{2}{3} \log (x-1)-\frac{1}{3} \log \left(x^2+x+1\right)","\frac{2}{3} \log (1-x)-\frac{1}{3} \log \left(x^2+x+1\right)",1,"(2*Log[-1 + x])/3 - Log[1 + x + x^2]/3","A",1
133,1,10,10,0.0067824,"\int \frac{1+x^4}{x \left(1+x^2\right)^2} \, dx","IntegrateAlgebraic[(1 + x^4)/(x*(1 + x^2)^2),x]","\frac{1}{x^2+1}+\log (x)","\frac{1}{x^2+1}+\log (x)",1,"(1 + x^2)^(-1) + Log[x]","A",1
134,1,21,31,0.0059343,"\int \frac{1}{-2 x^3+x^4} \, dx","IntegrateAlgebraic[(-2*x^3 + x^4)^(-1),x]","\frac{x+1}{4 x^2}+\frac{1}{4} \tanh ^{-1}(1-x)","\frac{1}{4 x^2}+\frac{1}{4 x}+\frac{1}{8} \log (2-x)-\frac{\log (x)}{8}",1,"(1 + x)/(4*x^2) + ArcTanh[1 - x]/4","A",1
135,1,18,18,0.0077038,"\int \frac{1-x^3}{x \left(1+x^2\right)} \, dx","IntegrateAlgebraic[(1 - x^3)/(x*(1 + x^2)),x]","-\frac{1}{2} \log \left(x^2+1\right)-x+\log (x)+\tan ^{-1}(x)","-\frac{1}{2} \log \left(x^2+1\right)-x+\log (x)+\tan ^{-1}(x)",1,"-x + ArcTan[x] + Log[x] - Log[1 + x^2]/2","A",1
136,1,13,13,0.0063558,"\int \frac{1}{-1+x^4} \, dx","IntegrateAlgebraic[(-1 + x^4)^(-1),x]","-\frac{1}{2} \tan ^{-1}(x)-\frac{1}{2} \tanh ^{-1}(x)","-\frac{1}{2} \tan ^{-1}(x)-\frac{1}{2} \tanh ^{-1}(x)",1,"-1/2*ArcTan[x] - ArcTanh[x]/2","A",1
137,1,56,85,0.0427442,"\int \frac{1}{1+x^4} \, dx","IntegrateAlgebraic[(1 + x^4)^(-1),x]","\frac{\tan ^{-1}\left(\frac{\frac{x^2}{\sqrt{2}}-\frac{1}{\sqrt{2}}}{x}\right)}{2 \sqrt{2}}+\frac{\tanh ^{-1}\left(\frac{\sqrt{2} x}{x^2+1}\right)}{2 \sqrt{2}}","-\frac{\log \left(x^2-\sqrt{2} x+1\right)}{4 \sqrt{2}}+\frac{\log \left(x^2+\sqrt{2} x+1\right)}{4 \sqrt{2}}-\frac{\tan ^{-1}\left(1-\sqrt{2} x\right)}{2 \sqrt{2}}+\frac{\tan ^{-1}\left(\sqrt{2} x+1\right)}{2 \sqrt{2}}",1,"ArcTan[(-(1/Sqrt[2]) + x^2/Sqrt[2])/x]/(2*Sqrt[2]) + ArcTanh[(Sqrt[2]*x)/(1 + x^2)]/(2*Sqrt[2])","A",1
138,1,15,23,0.0113583,"\int \frac{x^2}{\left(2+2 x+x^2\right)^2} \, dx","IntegrateAlgebraic[x^2/(2 + 2*x + x^2)^2,x]","\frac{1}{x^2+2 x+2}+\tan ^{-1}(x+1)","\tan ^{-1}(x+1)-\frac{x (x+2)}{2 \left(x^2+2 x+2\right)}",1,"(2 + 2*x + x^2)^(-1) + ArcTan[1 + x]","A",1
139,1,11,11,0.0083804,"\int \frac{-1+4 x^5}{\left(1+x+x^5\right)^2} \, dx","IntegrateAlgebraic[(-1 + 4*x^5)/(1 + x + x^5)^2,x]","-\frac{x}{x^5+x+1}","-\frac{x}{x^5+x+1}",1,"-(x/(1 + x + x^5))","A",1
140,0,0,45,0.000032,"\int \frac{1}{5-\cos (x)+2 \sin (x)} \, dx","IntegrateAlgebraic[(5 - Cos[x] + 2*Sin[x])^(-1),x]","\int \frac{1}{5-\cos (x)+2 \sin (x)} \, dx","\frac{x}{2 \sqrt{5}}+\frac{\tan ^{-1}\left(\frac{\sin (x)+2 \cos (x)}{2 \sin (x)-\cos (x)+2 \sqrt{5}+5}\right)}{\sqrt{5}}",1,"Could not integrate","F",-1
141,0,0,37,0.0000287,"\int \frac{1}{1+a \cos (x)} \, dx","IntegrateAlgebraic[(1 + a*Cos[x])^(-1),x]","\int \frac{1}{1+a \cos (x)} \, dx","\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-a} \tan \left(\frac{x}{2}\right)}{\sqrt{a+1}}\right)}{\sqrt{1-a^2}}",1,"Could not integrate","F",-1
142,0,0,56,0.000027,"\int \frac{1}{1+2 \cos (x)} \, dx","IntegrateAlgebraic[(1 + 2*Cos[x])^(-1),x]","\int \frac{1}{1+2 \cos (x)} \, dx","\frac{\log \left(\sin \left(\frac{x}{2}\right)+\sqrt{3} \cos \left(\frac{x}{2}\right)\right)}{\sqrt{3}}-\frac{\log \left(\sqrt{3} \cos \left(\frac{x}{2}\right)-\sin \left(\frac{x}{2}\right)\right)}{\sqrt{3}}",1,"Could not integrate","F",-1
143,0,0,31,0.0000525,"\int \frac{1}{1+\frac{\cos (x)}{2}} \, dx","IntegrateAlgebraic[(1 + Cos[x]/2)^(-1),x]","\int \frac{1}{1+\frac{\cos (x)}{2}} \, dx","\frac{2 x}{\sqrt{3}}-\frac{4 \tan ^{-1}\left(\frac{\sin (x)}{\cos (x)+\sqrt{3}+2}\right)}{\sqrt{3}}",1,"Could not integrate","F",-1
144,0,0,36,0.0000331,"\int \frac{\sin ^2(x)}{1+\sin ^2(x)} \, dx","IntegrateAlgebraic[Sin[x]^2/(1 + Sin[x]^2),x]","\int \frac{\sin ^2(x)}{1+\sin ^2(x)} \, dx","-\frac{x}{\sqrt{2}}+x-\frac{\tan ^{-1}\left(\frac{\sin (x) \cos (x)}{\sin ^2(x)+\sqrt{2}+1}\right)}{\sqrt{2}}",1,"Could not integrate","F",-1
145,0,0,15,0.000036,"\int \frac{1}{b^2 \cos ^2(x)+a^2 \sin ^2(x)} \, dx","IntegrateAlgebraic[(b^2*Cos[x]^2 + a^2*Sin[x]^2)^(-1),x]","\int \frac{1}{b^2 \cos ^2(x)+a^2 \sin ^2(x)} \, dx","\frac{\tan ^{-1}\left(\frac{a \tan (x)}{b}\right)}{a b}",1,"Could not integrate","F",-1
146,0,0,17,0.0000312,"\int \frac{1}{(b \cos (x)+a \sin (x))^2} \, dx","IntegrateAlgebraic[(b*Cos[x] + a*Sin[x])^(-2),x]","\int \frac{1}{(b \cos (x)+a \sin (x))^2} \, dx","\frac{\sin (x)}{b (a \sin (x)+b \cos (x))}",1,"Could not integrate","F",-1
147,0,0,30,0.0000327,"\int \frac{\sin (x)}{1+\cos (x)+\sin (x)} \, dx","IntegrateAlgebraic[Sin[x]/(1 + Cos[x] + Sin[x]),x]","\int \frac{\sin (x)}{1+\cos (x)+\sin (x)} \, dx","\frac{x}{2}-\frac{1}{2} \log \left(\tan \left(\frac{x}{2}\right)+1\right)-\frac{1}{2} \log (\sin (x)+\cos (x)+1)",1,"Could not integrate","F",-1
148,1,41,29,0.0285922,"\int \sqrt{3-x^2} \, dx","IntegrateAlgebraic[Sqrt[3 - x^2],x]","\frac{1}{2} \sqrt{3-x^2} x+\frac{3}{2} i \log \left(\sqrt{3-x^2}-i x\right)","\frac{1}{2} \sqrt{3-x^2} x+\frac{3}{2} \sin ^{-1}\left(\frac{x}{\sqrt{3}}\right)",1,"(x*Sqrt[3 - x^2])/2 + ((3*I)/2)*Log[(-I)*x + Sqrt[3 - x^2]]","C",1
149,1,13,13,0.0076947,"\int \frac{x}{\sqrt{3-x^2}} \, dx","IntegrateAlgebraic[x/Sqrt[3 - x^2],x]","-\sqrt{3-x^2}","-\sqrt{3-x^2}",1,"-Sqrt[3 - x^2]","A",1
150,1,37,37,0.0393011,"\int \frac{\sqrt{3-x^2}}{x} \, dx","IntegrateAlgebraic[Sqrt[3 - x^2]/x,x]","\sqrt{3-x^2}-\sqrt{3} \tanh ^{-1}\left(\frac{\sqrt{3-x^2}}{\sqrt{3}}\right)","\sqrt{3-x^2}-\sqrt{3} \tanh ^{-1}\left(\frac{\sqrt{3-x^2}}{\sqrt{3}}\right)",1,"Sqrt[3 - x^2] - Sqrt[3]*ArcTanh[Sqrt[3 - x^2]/Sqrt[3]]","A",1
151,1,24,22,0.0692767,"\int \frac{\sqrt{x+x^2}}{x} \, dx","IntegrateAlgebraic[Sqrt[x + x^2]/x,x]","\sqrt{x^2+x}+\tanh ^{-1}\left(\frac{\sqrt{x^2+x}}{x}\right)","\sqrt{x^2+x}+\tanh ^{-1}\left(\frac{x}{\sqrt{x^2+x}}\right)",1,"Sqrt[x + x^2] + ArcTanh[Sqrt[x + x^2]/x]","A",1
152,1,33,27,0.0194073,"\int \sqrt{5+x^2} \, dx","IntegrateAlgebraic[Sqrt[5 + x^2],x]","\frac{1}{2} x \sqrt{x^2+5}-\frac{5}{2} \log \left(\sqrt{x^2+5}-x\right)","\frac{1}{2} \sqrt{x^2+5} x+\frac{5}{2} \sinh ^{-1}\left(\frac{x}{\sqrt{5}}\right)",1,"(x*Sqrt[5 + x^2])/2 - (5*Log[-x + Sqrt[5 + x^2]])/2","A",1
153,1,33,27,0.0612705,"\int \frac{x}{\sqrt{1+x+x^2}} \, dx","IntegrateAlgebraic[x/Sqrt[1 + x + x^2],x]","\sqrt{x^2+x+1}+\frac{1}{2} \log \left(2 \sqrt{x^2+x+1}-2 x-1\right)","\sqrt{x^2+x+1}-\frac{1}{2} \sinh ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)",1,"Sqrt[1 + x + x^2] + Log[-1 - 2*x + 2*Sqrt[1 + x + x^2]]/2","A",1
154,1,19,14,0.0638697,"\int \frac{1}{\sqrt{x+x^2}} \, dx","IntegrateAlgebraic[1/Sqrt[x + x^2],x]","-\log \left(2 \sqrt{x^2+x}-2 x-1\right)","2 \tanh ^{-1}\left(\frac{x}{\sqrt{x^2+x}}\right)",1,"-Log[-1 - 2*x + 2*Sqrt[x + x^2]]","A",1
155,1,76,68,0.1217247,"\int \frac{\sqrt{2-x-x^2}}{x^2} \, dx","IntegrateAlgebraic[Sqrt[2 - x - x^2]/x^2,x]","-\frac{\sqrt{-x^2-x+2}}{x}+2 \tan ^{-1}\left(\frac{\sqrt{-x^2-x+2}}{x+2}\right)-\frac{\tanh ^{-1}\left(\frac{\sqrt{-x^2-x+2}}{\sqrt{2} (x-1)}\right)}{\sqrt{2}}","-\frac{\sqrt{-x^2-x+2}}{x}+\frac{\tanh ^{-1}\left(\frac{4-x}{2 \sqrt{2} \sqrt{-x^2-x+2}}\right)}{2 \sqrt{2}}+\sin ^{-1}\left(\frac{1}{3} (-2 x-1)\right)",1,"-(Sqrt[2 - x - x^2]/x) + 2*ArcTan[Sqrt[2 - x - x^2]/(2 + x)] - ArcTanh[Sqrt[2 - x - x^2]/(Sqrt[2]*(-1 + x))]/Sqrt[2]","A",1
156,0,0,13,0.0000512,"\int \frac{\log (t)}{1+t} \, dt","IntegrateAlgebraic[Log[t]/(1 + t),t]","\int \frac{\log (t)}{1+t} \, dt","\text{Li}_2(-t)+\log (t) \log (t+1)",1,"Could not integrate","F",-1
157,0,0,15,0.0000536,"\int \log \left(e^{\cos (x)}\right) \, dx","IntegrateAlgebraic[Log[E^Cos[x]],x]","\int \log \left(e^{\cos (x)}\right) \, dx","\sin (x)-x \cos (x)+x \log \left(e^{\cos (x)}\right)",1,"Could not integrate","F",-1
158,0,0,2,0.0000509,"\int \frac{e^t}{t} \, dt","IntegrateAlgebraic[E^t/t,t]","\int \frac{e^t}{t} \, dt","\text{Ei}(t)",1,"Could not integrate","F",-1
159,0,0,4,0.0000613,"\int \frac{e^{a t}}{t} \, dt","IntegrateAlgebraic[E^(a*t)/t,t]","\int \frac{e^{a t}}{t} \, dt","\text{Ei}(a t)",1,"Could not integrate","F",-1
160,0,0,11,0.0000569,"\int \frac{e^t}{t^2} \, dt","IntegrateAlgebraic[E^t/t^2,t]","\int \frac{e^t}{t^2} \, dt","\text{Ei}(t)-\frac{e^t}{t}",1,"Could not integrate","F",-1
161,0,0,14,0.0000562,"\int e^{\frac{1}{t}} \, dt","IntegrateAlgebraic[E^t^(-1),t]","\int e^{\frac{1}{t}} \, dt","e^{\frac{1}{t}} t-\text{Ei}\left(\frac{1}{t}\right)",1,"Could not integrate","F",-1
162,0,0,15,0.0000653,"\int \frac{e^{-t}}{-1-a+t} \, dt","IntegrateAlgebraic[1/(E^t*(-1 - a + t)),t]","\int \frac{e^{-t}}{-1-a+t} \, dt","e^{-a-1} \text{Ei}(a-t+1)",1,"Could not integrate","F",-1
163,0,0,13,0.0000678,"\int \frac{e^{t^2} t}{1+t^2} \, dt","IntegrateAlgebraic[(E^t^2*t)/(1 + t^2),t]","\int \frac{e^{t^2} t}{1+t^2} \, dt","\frac{\text{Ei}\left(t^2+1\right)}{2 e}",1,"Could not integrate","F",-1
164,0,0,19,0.0000608,"\int \frac{e^t}{(1+t)^2} \, dt","IntegrateAlgebraic[E^t/(1 + t)^2,t]","\int \frac{e^t}{(1+t)^2} \, dt","\frac{\text{Ei}(t+1)}{e}-\frac{e^t}{t+1}",1,"Could not integrate","F",-1
165,0,0,18,0.0000358,"\int e^t \log (1+t) \, dt","IntegrateAlgebraic[E^t*Log[1 + t],t]","\int e^t \log (1+t) \, dt","e^t \log (t+1)-\frac{\text{Ei}(t+1)}{e}",1,"Could not integrate","F",-1
166,0,0,16,0.0000557,"\int e^{-t} t \, dt","IntegrateAlgebraic[t/E^t,t]","\int e^{-t} t \, dt","-e^{-t} t-e^{-t}",1,"Could not integrate","F",-1
167,0,0,26,0.0000516,"\int e^{-t} t^2 \, dt","IntegrateAlgebraic[t^2/E^t,t]","\int e^{-t} t^2 \, dt","-e^{-t} t^2-2 e^{-t} t-2 e^{-t}",1,"Could not integrate","F",-1
168,0,0,36,0.0000497,"\int e^{-t} t^3 \, dt","IntegrateAlgebraic[t^3/E^t,t]","\int e^{-t} t^3 \, dt","-e^{-t} t^3-3 e^{-t} t^2-6 e^{-t} t-6 e^{-t}",1,"Could not integrate","F",-1
169,0,0,48,0.0000419,"\int \frac{\text{b1} \cos (x)+\text{a1} \sin (x)}{b \cos (x)+a \sin (x)} \, dx","IntegrateAlgebraic[(b1*Cos[x] + a1*Sin[x])/(b*Cos[x] + a*Sin[x]),x]","\int \frac{\text{b1} \cos (x)+\text{a1} \sin (x)}{b \cos (x)+a \sin (x)} \, dx","\frac{x (a \text{a1}+b \text{b1})}{a^2+b^2}-\frac{(\text{a1} b-a \text{b1}) \log (a \sin (x)+b \cos (x))}{a^2+b^2}",1,"Could not integrate","F",-1
170,0,0,2,0.0000293,"\int \frac{1}{\log (t)} \, dt","IntegrateAlgebraic[Log[t]^(-1),t]","\int \frac{1}{\log (t)} \, dt","\text{li}(t)",1,"Could not integrate","F",-1
171,0,0,10,0.0000323,"\int \frac{1}{\log ^2(t)} \, dt","IntegrateAlgebraic[Log[t]^(-2),t]","\int \frac{1}{\log ^2(t)} \, dt","\text{li}(t)-\frac{t}{\log (t)}",1,"Could not integrate","F",-1
172,0,0,22,0.0000375,"\int \log ^{-1-n}(t) \, dt","IntegrateAlgebraic[Log[t]^(-1 - n),t]","\int \log ^{-1-n}(t) \, dt","(-\log (t))^n \log ^{-n}(t) (-\Gamma (-n,-\log (t)))",1,"Could not integrate","F",-1
173,0,0,12,0.0000633,"\int \frac{e^{2 t}}{-1+t} \, dt","IntegrateAlgebraic[E^(2*t)/(-1 + t),t]","\int \frac{e^{2 t}}{-1+t} \, dt","e^2 \text{Ei}(-2 (1-t))",1,"Could not integrate","F",-1
174,0,0,22,0.0000669,"\int \frac{e^{2 x}}{2-3 x+x^2} \, dx","IntegrateAlgebraic[E^(2*x)/(2 - 3*x + x^2),x]","\int \frac{e^{2 x}}{2-3 x+x^2} \, dx","e^4 \text{Ei}(2 x-4)-e^2 \text{Ei}(2 x-2)",1,"Could not integrate","F",-1
175,0,0,103,10.3883919,"\int \frac{1}{\sqrt{1+t^3}} \, dt","IntegrateAlgebraic[1/Sqrt[1 + t^3],t]","\int \frac{1}{\sqrt{1+t^3}} \, dt","\frac{2 \sqrt{2+\sqrt{3}} (t+1) \sqrt{\frac{t^2-t+1}{\left(t+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{t-\sqrt{3}+1}{t+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{\sqrt[4]{3} \sqrt{\frac{t+1}{\left(t+\sqrt{3}+1\right)^2}} \sqrt{t^3+1}}",1,"Could not integrate","F",-1