1,0,-1,28,0.000000,"\text{Not used}","int(((x^8 + 1)^(1/2)*(2*x^8 + 1))/(x + 2*x^9 + x^17),x)","\int \frac{\sqrt{x^8+1}\,\left(2\,x^8+1\right)}{x^{17}+2\,x^9+x} \,d x","Not used",1,"int(((x^8 + 1)^(1/2)*(2*x^8 + 1))/(x + 2*x^9 + x^17), x)","F"
2,1,2,2,0.044653,"\text{Not used}","int(1/(x^2 + 1),x)","\mathrm{atan}\left(x\right)","Not used",1,"atan(x)","B"
3,1,10,14,0.070117,"\text{Not used}","int(1/(x*(x^8 + 1)^(1/2)),x)","-\frac{\mathrm{atanh}\left(\sqrt{x^8+1}\right)}{4}","Not used",1,"-atanh((x^8 + 1)^(1/2))/4","B"
4,1,231,252,0.249181,"\text{Not used}","int(x/(1 - x^3)^(1/2),x)","-\frac{2\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-(2*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/((1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
5,1,180,16,0.145069,"\text{Not used}","int(1/(x*(1 - x^3)^(1/2)),x)","-\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-(2*((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/((1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
6,0,-1,76,0.000000,"\text{Not used}","int(x/(10*x^2 - 96*x + x^4 - 71)^(1/2),x)","\int \frac{x}{\sqrt{x^4+10\,x^2-96\,x-71}} \,d x","Not used",1,"int(x/(10*x^2 - 96*x + x^4 - 71)^(1/2), x)","F"
7,1,11,13,0.063591,"\text{Not used}","int((x - tan(x))/tan(x)^2,x)","-x\,\mathrm{cot}\left(x\right)-\frac{x^2}{2}","Not used",1,"- x*cot(x) - x^2/2","B"
8,1,32,42,0.219746,"\text{Not used}","int(tan(x)^2 + x*tan(x) + 1,x)","\mathrm{tan}\left(x\right)+\frac{\mathrm{polylog}\left(2,-{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{2}+\frac{x\,\left(x+\ln\left({\mathrm{e}}^{x\,2{}\mathrm{i}}+1\right)\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"tan(x) + (polylog(2, -exp(x*2i))*1i)/2 + (x*(x + log(exp(x*2i) + 1)*2i)*1i)/2","B"
9,0,-1,2,0.000000,"\text{Not used}","int(sin(x)/x,x)","\mathrm{sinint}\left(x\right)","Not used",1,"sinint(x)","F"
10,1,14,17,0.268965,"\text{Not used}","int((3*(x + exp(x))^(1/3) + exp(x)*(3*x + 2*x^2) + 5*x^2)/(x*(x + exp(x))^(1/3)),x)","3\,\ln\left(x\right)+3\,x\,{\left(x+{\mathrm{e}}^x\right)}^{2/3}","Not used",1,"3*log(x) + 3*x*(x + exp(x))^(2/3)","B"
11,1,11,13,0.193600,"\text{Not used}","int((1/x + 1)/(x + log(x))^(3/2) + 1/x,x)","\ln\left(x\right)-\frac{2}{\sqrt{x+\ln\left(x\right)}}","Not used",1,"log(x) - 2/(x + log(x))^(1/2)","B"
12,1,11,13,0.197488,"\text{Not used}","int((log(x)^2 + (x + log(x))^(1/2)*(x + 1) + 2*x*log(x) + x^2)/(x*log(x)^2 + 2*x^2*log(x) + x^3),x)","\ln\left(x\right)-\frac{2}{\sqrt{x+\ln\left(x\right)}}","Not used",1,"log(x) - 2/(x + log(x))^(1/2)","B"
13,1,19,23,0.271684,"\text{Not used}","int((log(x) - 2*log(x)^2 + x^2)/(x^2*log(x) - log(x)^3),x)","\frac{\ln\left(x+\ln\left(x\right)\right)}{2}-\frac{\ln\left(x-\ln\left(x\right)\right)}{2}+\mathrm{logint}\left(x\right)","Not used",1,"log(x + log(x))/2 - log(x - log(x))/2 + logint(x)","B"
14,1,22,39,0.272618,"\text{Not used}","int((x^4 - 3*x^2 + 6)/(5*x^2 - 5*x^4 + x^6 + 4),x)","\mathrm{atan}\left(\frac{x^5}{2}-\frac{3\,x^3}{2}+\frac{x}{2}\right)+\mathrm{atan}\left(x^3\right)+\mathrm{atan}\left(x\right)","Not used",1,"atan(x/2 - (3*x^3)/2 + x^5/2) + atan(x^3) + atan(x)","B"