1,1,28,0,0.054999,"\int \frac{\sqrt{1+x^8} \left(1+2 x^8\right)}{x+2 x^9+x^{17}} \, dx","Int[(Sqrt[1 + x^8]*(1 + 2*x^8))/(x + 2*x^9 + x^17),x]","-\frac{1}{4 \sqrt{x^8+1}}-\frac{1}{4} \tanh ^{-1}\left(\sqrt{x^8+1}\right)","-\frac{1}{4 \sqrt{x^8+1}}-\frac{1}{4} \tanh ^{-1}\left(\sqrt{x^8+1}\right)",1,"-1/(4*Sqrt[1 + x^8]) - ArcTanh[Sqrt[1 + x^8]]/4","A",6,6,29,0.2069,1,"{1586, 1593, 446, 78, 63, 207}"
2,1,2,0,0.0008568,"\int \frac{1}{1+x^2} \, dx","Int[(1 + x^2)^(-1),x]","\tan ^{-1}(x)","\tan ^{-1}(x)",1,"ArcTan[x]","A",1,1,7,0.1429,1,"{203}"
3,1,14,0,0.0063612,"\int \frac{1}{x \sqrt{1+x^8}} \, dx","Int[1/(x*Sqrt[1 + x^8]),x]","-\frac{1}{4} \tanh ^{-1}\left(\sqrt{x^8+1}\right)","-\frac{1}{4} \tanh ^{-1}\left(\sqrt{x^8+1}\right)",1,"-ArcTanh[Sqrt[1 + x^8]]/4","A",3,3,13,0.2308,1,"{266, 63, 207}"
4,1,252,0,0.0671438,"\int \frac{x}{\sqrt{1-x^3}} \, dx","Int[x/Sqrt[1 - x^3],x]","\frac{2 \sqrt{1-x^3}}{-x+\sqrt{3}+1}+\frac{2 \sqrt{2} (1-x) \sqrt{\frac{x^2+x+1}{\left(-x+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{-x-\sqrt{3}+1}{-x+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{\sqrt[4]{3} \sqrt{\frac{1-x}{\left(-x+\sqrt{3}+1\right)^2}} \sqrt{1-x^3}}-\frac{\sqrt[4]{3} \sqrt{2-\sqrt{3}} (1-x) \sqrt{\frac{x^2+x+1}{\left(-x+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{-x-\sqrt{3}+1}{-x+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{\sqrt{\frac{1-x}{\left(-x+\sqrt{3}+1\right)^2}} \sqrt{1-x^3}}","\frac{2 \sqrt{1-x^3}}{-x+\sqrt{3}+1}+\frac{2 \sqrt{2} (1-x) \sqrt{\frac{x^2+x+1}{\left(-x+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{-x-\sqrt{3}+1}{-x+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{\sqrt[4]{3} \sqrt{\frac{1-x}{\left(-x+\sqrt{3}+1\right)^2}} \sqrt{1-x^3}}-\frac{\sqrt[4]{3} \sqrt{2-\sqrt{3}} (1-x) \sqrt{\frac{x^2+x+1}{\left(-x+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{-x-\sqrt{3}+1}{-x+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{\sqrt{\frac{1-x}{\left(-x+\sqrt{3}+1\right)^2}} \sqrt{1-x^3}}",1,"(2*Sqrt[1 - x^3])/(1 + Sqrt[3] - x) - (3^(1/4)*Sqrt[2 - Sqrt[3]]*(1 - x)*Sqrt[(1 + x + x^2)/(1 + Sqrt[3] - x)^2]*EllipticE[ArcSin[(1 - Sqrt[3] - x)/(1 + Sqrt[3] - x)], -7 - 4*Sqrt[3]])/(Sqrt[(1 - x)/(1 + Sqrt[3] - x)^2]*Sqrt[1 - x^3]) + (2*Sqrt[2]*(1 - x)*Sqrt[(1 + x + x^2)/(1 + Sqrt[3] - x)^2]*EllipticF[ArcSin[(1 - Sqrt[3] - x)/(1 + Sqrt[3] - x)], -7 - 4*Sqrt[3]])/(3^(1/4)*Sqrt[(1 - x)/(1 + Sqrt[3] - x)^2]*Sqrt[1 - x^3])","A",3,3,13,0.2308,1,"{303, 218, 1877}"
5,1,16,0,0.0082425,"\int \frac{1}{x \sqrt{1-x^3}} \, dx","Int[1/(x*Sqrt[1 - x^3]),x]","-\frac{2}{3} \tanh ^{-1}\left(\sqrt{1-x^3}\right)","-\frac{2}{3} \tanh ^{-1}\left(\sqrt{1-x^3}\right)",1,"(-2*ArcTanh[Sqrt[1 - x^3]])/3","A",3,3,15,0.2000,1,"{266, 63, 206}"
6,1,76,0,0.0275953,"\int \frac{x}{\sqrt{-71-96 x+10 x^2+x^4}} \, dx","Int[x/Sqrt[-71 - 96*x + 10*x^2 + x^4],x]","\frac{1}{8} \log \left(x^8+20 x^6-128 x^5+54 x^4-1408 x^3+3124 x^2+\sqrt{x^4+10 x^2-96 x-71} \left(x^6+15 x^4-80 x^3+27 x^2-528 x+781\right)+10001\right)","\frac{1}{8} \log \left(x^8+20 x^6-128 x^5+54 x^4-1408 x^3+3124 x^2+\sqrt{x^4+10 x^2-96 x-71} \left(x^6+15 x^4-80 x^3+27 x^2-528 x+781\right)+10001\right)",1,"Log[10001 + 3124*x^2 - 1408*x^3 + 54*x^4 - 128*x^5 + 20*x^6 + x^8 + Sqrt[-71 - 96*x + 10*x^2 + x^4]*(781 - 528*x + 27*x^2 - 80*x^3 + 15*x^4 + x^6)]/8","A",1,1,19,0.05263,1,"{2082}"
7,1,13,0,0.0708303,"\int \cot ^2(x) (x-\tan (x)) \, dx","Int[Cot[x]^2*(x - Tan[x]),x]","-\frac{x^2}{2}-x \cot (x)","-\frac{x^2}{2}-x \cot (x)",1,"-x^2/2 - x*Cot[x]","A",6,4,11,0.3636,1,"{6742, 3475, 3720, 30}"
8,1,42,0,0.0548971,"\int \left(1+x \tan (x)+\tan ^2(x)\right) \, dx","Int[1 + x*Tan[x] + Tan[x]^2,x]","\frac{1}{2} i \text{PolyLog}\left(2,-e^{2 i x}\right)+\frac{i x^2}{2}-x \log \left(1+e^{2 i x}\right)+\tan (x)","\frac{1}{2} i \text{PolyLog}\left(2,-e^{2 i x}\right)+\frac{i x^2}{2}-x \log \left(1+e^{2 i x}\right)+\tan (x)",1,"(I/2)*x^2 - x*Log[1 + E^((2*I)*x)] + (I/2)*PolyLog[2, -E^((2*I)*x)] + Tan[x]","A",7,6,10,0.6000,1,"{3719, 2190, 2279, 2391, 3473, 8}"
9,1,2,0,0.0114418,"\int \frac{\sin (x)}{x} \, dx","Int[Sin[x]/x,x]","\text{Si}(x)","\text{Si}(x)",1,"SinIntegral[x]","A",1,1,6,0.1667,1,"{3299}"
10,1,17,0,0.6103855,"\int \frac{5 x^2+3 \sqrt[3]{e^x+x}+e^x \left(3 x+2 x^2\right)}{x \sqrt[3]{e^x+x}} \, dx","Int[(5*x^2 + 3*(E^x + x)^(1/3) + E^x*(3*x + 2*x^2))/(x*(E^x + x)^(1/3)),x]","3 \left(x+e^x\right)^{2/3} x+3 \log (x)","3 \left(x+e^x\right)^{2/3} x+3 \log (x)",1,"3*x*(E^x + x)^(2/3) + 3*Log[x]","A",8,4,43,0.09302,1,"{6742, 2261, 2273, 2262}"
11,1,13,0,0.0294411,"\int \left(\frac{1}{x}+\frac{1+\frac{1}{x}}{(x+\log (x))^{3/2}}\right) \, dx","Int[x^(-1) + (1 + x^(-1))/(x + Log[x])^(3/2),x]","\log (x)-\frac{2}{\sqrt{x+\log (x)}}","\log (x)-\frac{2}{\sqrt{x+\log (x)}}",1,"Log[x] - 2/Sqrt[x + Log[x]]","A",2,1,18,0.05556,1,"{6686}"
12,0,0,0,0.6253725,"\int \frac{x^2+2 x \log (x)+\log ^2(x)+(1+x) \sqrt{x+\log (x)}}{x^3+2 x^2 \log (x)+x \log ^2(x)} \, dx","Int[(x^2 + 2*x*Log[x] + Log[x]^2 + (1 + x)*Sqrt[x + Log[x]])/(x^3 + 2*x^2*Log[x] + x*Log[x]^2),x]","\int \frac{x^2+2 x \log (x)+\log ^2(x)+(1+x) \sqrt{x+\log (x)}}{x^3+2 x^2 \log (x)+x \log ^2(x)} \, dx","\log (x)-\frac{2}{\sqrt{x+\log (x)}}",1,"Log[x] + Defer[Int][(x + Log[x])^(-3/2), x] - Defer[Int][1/(Log[x]*(x + Log[x])^(3/2)), x] - Defer[Int][1/(Log[x]^2*Sqrt[x + Log[x]]), x] + Defer[Int][Sqrt[x + Log[x]]/(x*Log[x]^2), x]","F",0,0,0,0,-1,"{}"
13,1,23,0,0.247992,"\int \frac{-x^2-\log (x)+2 \log ^2(x)}{-x^2 \log (x)+\log ^3(x)} \, dx","Int[(-x^2 - Log[x] + 2*Log[x]^2)/(-(x^2*Log[x]) + Log[x]^3),x]","\text{LogIntegral}(x)-\frac{1}{2} \log (x-\log (x))+\frac{1}{2} \log (x+\log (x))","\text{LogIntegral}(x)-\frac{1}{2} \log (x-\log (x))+\frac{1}{2} \log (x+\log (x))",1,"-Log[x - Log[x]]/2 + Log[x + Log[x]]/2 + LogIntegral[x]","A",6,4,31,0.1290,1,"{6741, 6742, 6684, 2298}"
14,1,39,0,0.025965,"\int \frac{6-3 x^2+x^4}{4+5 x^2-5 x^4+x^6} \, dx","Int[(6 - 3*x^2 + x^4)/(4 + 5*x^2 - 5*x^4 + x^6),x]","\tan ^{-1}\left(\frac{1}{2} x \left(x^4-3 x^2+1\right)\right)-\tan ^{-1}\left(\sqrt{3}-2 x\right)+\tan ^{-1}\left(2 x+\sqrt{3}\right)","\tan ^{-1}\left(\frac{1}{2} x \left(x^4-3 x^2+1\right)\right)-\tan ^{-1}\left(\sqrt{3}-2 x\right)+\tan ^{-1}\left(2 x+\sqrt{3}\right)",1,"-ArcTan[Sqrt[3] - 2*x] + ArcTan[Sqrt[3] + 2*x] + ArcTan[(x*(1 - 3*x^2 + x^4))/2]","A",1,1,28,0.03571,1,"{2095}"