1,1,13,15,0.027322,"\text{Not used}","int(1/(1 - a*x)^(1/2),x)","-\frac{2\,\sqrt{1-a\,x}}{a}","Not used",1,"-(2*(1 - a*x)^(1/2))/a","B"
2,1,43,15,0.514737,"\text{Not used}","int((log(a*x - 1)/2 - log(-(a*x - 1)^(1/2)))/(Pi*(a*x - 1)^(1/2)),x)","-\frac{2\,\ln\left(-\sqrt{a\,x-1}\right)\,\sqrt{a\,x-1}-\ln\left(a\,x-1\right)\,\sqrt{a\,x-1}}{\Pi \,a}","Not used",1,"-(2*log(-(a*x - 1)^(1/2))*(a*x - 1)^(1/2) - log(a*x - 1)*(a*x - 1)^(1/2))/(Pi*a)","B"
3,1,204,82,0.569103,"\text{Not used}","int(1/(2*x + (x^2 + 1)^(1/2))^2,x)","\frac{\sqrt{3}\,\left(\ln\left(x-\frac{\sqrt{3}}{3}\right)-\ln\left(x+\sqrt{3}+2\,\sqrt{x^2+1}\right)\right)}{18}-\frac{4\,x}{9\,\left(x^2-\frac{1}{3}\right)}+\frac{\sqrt{3}\,\left(\ln\left(x+\frac{\sqrt{3}}{3}\right)-\ln\left(x-\sqrt{3}-2\,\sqrt{x^2+1}\right)\right)}{18}-\frac{\sqrt{3}\,\left(6\,\ln\left(x-\frac{\sqrt{3}}{3}\right)-6\,\ln\left(x+\sqrt{3}+2\,\sqrt{x^2+1}\right)\right)}{54}-\frac{\sqrt{3}\,\left(6\,\ln\left(x+\frac{\sqrt{3}}{3}\right)-6\,\ln\left(x-\sqrt{3}-2\,\sqrt{x^2+1}\right)\right)}{54}+\frac{\sqrt{3}\,\sqrt{x^2+1}}{9\,\left(x-\frac{\sqrt{3}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{x^2+1}}{9\,\left(x+\frac{\sqrt{3}}{3}\right)}+\frac{\sqrt{3}\,\mathrm{atan}\left(\sqrt{3}\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{9}","Not used",1,"(3^(1/2)*(log(x - 3^(1/2)/3) - log(x + 3^(1/2) + 2*(x^2 + 1)^(1/2))))/18 + (3^(1/2)*atan(3^(1/2)*x*1i)*1i)/9 - (4*x)/(9*(x^2 - 1/3)) + (3^(1/2)*(log(x + 3^(1/2)/3) - log(x - 3^(1/2) - 2*(x^2 + 1)^(1/2))))/18 - (3^(1/2)*(6*log(x - 3^(1/2)/3) - 6*log(x + 3^(1/2) + 2*(x^2 + 1)^(1/2))))/54 - (3^(1/2)*(6*log(x + 3^(1/2)/3) - 6*log(x - 3^(1/2) - 2*(x^2 + 1)^(1/2))))/54 + (3^(1/2)*(x^2 + 1)^(1/2))/(9*(x - 3^(1/2)/3)) - (3^(1/2)*(x^2 + 1)^(1/2))/(9*(x + 3^(1/2)/3))","B"
4,0,-1,43,0.000000,"\text{Not used}","int(1/((x^2 - 1)^(1/2)*(3*x^2 - 4)^2),x)","\int \frac{1}{\sqrt{x^2-1}\,{\left(3\,x^2-4\right)}^2} \,d x","Not used",1,"int(1/((x^2 - 1)^(1/2)*(3*x^2 - 4)^2), x)","F"
5,1,82,74,1.706672,"\text{Not used}","int(1/((x + 1)^(1/2) + 2*x^(1/2))^2,x)","\frac{10\,\mathrm{atanh}\left(\frac{2662400\,\sqrt{x}}{81\,\left(\frac{665600\,x}{81\,{\left(\sqrt{x+1}-1\right)}^2}+\frac{665600}{81}\right)\,\left(\sqrt{x+1}-1\right)}\right)}{9}+\frac{5\,\ln\left(x-\frac{1}{3}\right)}{9}-\frac{16\,\mathrm{atanh}\left(\frac{\sqrt{x}}{\sqrt{x+1}-1}\right)}{9}-\frac{8}{27\,\left(x-\frac{1}{3}\right)}+\frac{4\,\sqrt{x}\,\sqrt{x+1}}{3\,\left(3\,x-1\right)}","Not used",1,"(10*atanh((2662400*x^(1/2))/(81*((665600*x)/(81*((x + 1)^(1/2) - 1)^2) + 665600/81)*((x + 1)^(1/2) - 1))))/9 + (5*log(x - 1/3))/9 - (16*atanh(x^(1/2)/((x + 1)^(1/2) - 1)))/9 - 8/(27*(x - 1/3)) + (4*x^(1/2)*(x + 1)^(1/2))/(3*(3*x - 1))","B"
6,0,-1,64,0.000000,"\text{Not used}","int((x^2 - 1)^(1/2)/(x - 1i)^2,x)","\int \frac{\sqrt{x^2-1}}{{\left(x-\mathrm{i}\right)}^2} \,d x","Not used",1,"int((x^2 - 1)^(1/2)/(x - 1i)^2, x)","F"
7,0,-1,48,0.000000,"\text{Not used}","int(1/((x^2 - 1)^(1/2)*(x^2 + 1)^2),x)","\int \frac{1}{\sqrt{x^2-1}\,{\left(x^2+1\right)}^2} \,d x","Not used",1,"int(1/((x^2 - 1)^(1/2)*(x^2 + 1)^2), x)","F"
8,1,21,30,0.381145,"\text{Not used}","int(1/(((x - 1)^(1/2) + x^(1/2))^2*(x - 1)^(1/2)),x)","\frac{4\,x\,\sqrt{x-1}}{3}+\frac{2\,\sqrt{x-1}}{3}-\frac{4\,x^{3/2}}{3}","Not used",1,"(4*x*(x - 1)^(1/2))/3 + (2*(x - 1)^(1/2))/3 - (4*x^(3/2))/3","B"
9,0,-1,220,0.000000,"\text{Not used}","int(1/((x^2 - 1)^(1/2)*((x^2 - 1)^(1/2) + x^(1/2))^2),x)","\int \frac{1}{\sqrt{x^2-1}\,{\left(\sqrt{x^2-1}+\sqrt{x}\right)}^2} \,d x","Not used",1,"int(1/((x^2 - 1)^(1/2)*((x^2 - 1)^(1/2) + x^(1/2))^2), x)","F"
10,0,-1,220,0.000000,"\text{Not used}","int(((x^2 - 1)^(1/2) - x^(1/2))^2/((x^2 - 1)^(1/2)*(x - x^2 + 1)^2),x)","\int \frac{{\left(\sqrt{x^2-1}-\sqrt{x}\right)}^2}{\sqrt{x^2-1}\,{\left(-x^2+x+1\right)}^2} \,d x","Not used",1,"int(((x^2 - 1)^(1/2) - x^(1/2))^2/((x^2 - 1)^(1/2)*(x - x^2 + 1)^2), x)","F"
11,0,-1,138,0.000000,"\text{Not used}","int(2^(1/2)/(2*(x^2 - 1i)^(1/2)*(x + 1)^2) + 2^(1/2)/(2*(x^2 + 1i)^(1/2)*(x + 1)^2),x)","\int \frac{\sqrt{2}}{2\,\sqrt{x^2-\mathrm{i}}\,{\left(x+1\right)}^2}+\frac{\sqrt{2}}{2\,\sqrt{x^2+1{}\mathrm{i}}\,{\left(x+1\right)}^2} \,d x","Not used",1,"int(2^(1/2)/(2*(x^2 - 1i)^(1/2)*(x + 1)^2) + 2^(1/2)/(2*(x^2 + 1i)^(1/2)*(x + 1)^2), x)","F"
12,0,-1,125,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2) + x^2)^(1/2)/((x^4 + 1)^(1/2)*(x + 1)^2),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}}{\sqrt{x^4+1}\,{\left(x+1\right)}^2} \,d x","Not used",1,"int(((x^4 + 1)^(1/2) + x^2)^(1/2)/((x^4 + 1)^(1/2)*(x + 1)^2), x)","F"
13,0,-1,81,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2) + x^2)^(1/2)/((x^4 + 1)^(1/2)*(x + 1)),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}}{\sqrt{x^4+1}\,\left(x+1\right)} \,d x","Not used",1,"int(((x^4 + 1)^(1/2) + x^2)^(1/2)/((x^4 + 1)^(1/2)*(x + 1)), x)","F"
14,0,-1,31,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2) + x^2)^(1/2)/(x^4 + 1)^(1/2),x)","\int \frac{\sqrt{\sqrt{x^4+1}+x^2}}{\sqrt{x^4+1}} \,d x","Not used",1,"int(((x^4 + 1)^(1/2) + x^2)^(1/2)/(x^4 + 1)^(1/2), x)","F"
15,0,-1,33,0.000000,"\text{Not used}","int(((x^4 + 1)^(1/2) - x^2)^(1/2)/(x^4 + 1)^(1/2),x)","\int \frac{\sqrt{\sqrt{x^4+1}-x^2}}{\sqrt{x^4+1}} \,d x","Not used",1,"int(((x^4 + 1)^(1/2) - x^2)^(1/2)/(x^4 + 1)^(1/2), x)","F"
16,1,15,19,0.400029,"\text{Not used}","int(((x - 1)^(3/2) + (x + 1)^(3/2))/((x - 1)^(3/2)*(x + 1)^(3/2)),x)","-\frac{2}{\sqrt{x-1}}-\frac{2}{\sqrt{x+1}}","Not used",1,"- 2/(x - 1)^(1/2) - 2/(x + 1)^(1/2)","B"
17,0,-1,52,0.000000,"\text{Not used}","int((x + (a + x^2)^(1/2))^b,x)","\int {\left(x+\sqrt{x^2+a}\right)}^b \,d x","Not used",1,"int((x + (a + x^2)^(1/2))^b, x)","F"
18,0,-1,56,0.000000,"\text{Not used}","int((x - (a + x^2)^(1/2))^b,x)","\int {\left(x-\sqrt{x^2+a}\right)}^b \,d x","Not used",1,"int((x - (a + x^2)^(1/2))^b, x)","F"
19,1,15,17,0.297173,"\text{Not used}","int((x + (a + x^2)^(1/2))^b/(a + x^2)^(1/2),x)","\frac{{\left(x+\sqrt{x^2+a}\right)}^b}{b}","Not used",1,"(x + (a + x^2)^(1/2))^b/b","B"
20,1,18,20,0.296299,"\text{Not used}","int((x - (a + x^2)^(1/2))^b/(a + x^2)^(1/2),x)","-\frac{{\left(x-\sqrt{x^2+a}\right)}^b}{b}","Not used",1,"-(x - (a + x^2)^(1/2))^b/b","B"
21,1,58,42,0.413391,"\text{Not used}","int(1/(a + b*exp(p*x))^2,x)","\frac{\frac{x}{a}+\frac{b\,x\,{\mathrm{e}}^{p\,x}}{a^2}-\frac{b\,{\mathrm{e}}^{p\,x}}{a^2\,p}}{a+b\,{\mathrm{e}}^{p\,x}}-\frac{\ln\left(a+b\,{\mathrm{e}}^{p\,x}\right)}{a^2\,p}","Not used",1,"(x/a + (b*x*exp(p*x))/a^2 - (b*exp(p*x))/(a^2*p))/(a + b*exp(p*x)) - log(a + b*exp(p*x))/(a^2*p)","B"
22,1,24,22,0.385228,"\text{Not used}","int(1/(a*exp(p*x) + b*exp(-p*x))^2,x)","\frac{{\mathrm{e}}^{2\,p\,x}}{2\,b\,p\,\left(b+a\,{\mathrm{e}}^{2\,p\,x}\right)}","Not used",1,"exp(2*p*x)/(2*b*p*(b + a*exp(2*p*x)))","B"
23,1,47,62,0.406087,"\text{Not used}","int(x/(a*exp(p*x) + b*exp(-p*x))^2,x)","\frac{x\,{\mathrm{e}}^{2\,p\,x}}{2\,b\,p\,\left(b+a\,{\mathrm{e}}^{2\,p\,x}\right)}-\frac{\ln\left(b+a\,{\mathrm{e}}^{2\,p\,x}\right)}{4\,a\,b\,p^2}","Not used",1,"(x*exp(2*p*x))/(2*b*p*(b + a*exp(2*p*x))) - log(b + a*exp(2*p*x))/(4*a*b*p^2)","B"
24,0,-1,86,0.000000,"\text{Not used}","int((3*x^2 - x + 1)/((x^2 - x + 1)^(1/2)*(x + x^2 + 1)^2),x)","\int \frac{3\,x^2-x+1}{\sqrt{x^2-x+1}\,{\left(x^2+x+1\right)}^2} \,d x","Not used",1,"int((3*x^2 - x + 1)/((x^2 - x + 1)^(1/2)*(x + x^2 + 1)^2), x)","F"
25,1,15,19,0.422946,"\text{Not used}","int((x + (a^2 + x^2)^(1/2))^(1/2)/(a^2 + x^2)^(1/2),x)","2\,\sqrt{x+\sqrt{a^2+x^2}}","Not used",1,"2*(x + (a^2 + x^2)^(1/2))^(1/2)","B"
26,1,22,26,0.505892,"\text{Not used}","int(((a + b^2*x^2)^(1/2) + b*x)^(1/2)/(a + b^2*x^2)^(1/2),x)","\frac{2\,\sqrt{\sqrt{b^2\,x^2+a}+b\,x}}{b}","Not used",1,"(2*((a + b^2*x^2)^(1/2) + b*x)^(1/2))/b","B"
27,0,-1,63,0.000000,"\text{Not used}","int(1/(x*(x + (a^2 + x^2)^(1/2))^(1/2)*(a^2 + x^2)^(1/2)),x)","\int \frac{1}{x\,\sqrt{x+\sqrt{a^2+x^2}}\,\sqrt{a^2+x^2}} \,d x","Not used",1,"int(1/(x*(x + (a^2 + x^2)^(1/2))^(1/2)*(a^2 + x^2)^(1/2)), x)","F"
28,0,-1,82,0.000000,"\text{Not used}","int((x + (a^2 + x^2)^(1/2))^(1/2)/x,x)","\int \frac{\sqrt{x+\sqrt{a^2+x^2}}}{x} \,d x","Not used",1,"int((x + (a^2 + x^2)^(1/2))^(1/2)/x, x)","F"
29,0,-1,606,0.000000,"\text{Not used}","int(x^3*log(x + 2)^3*log(x + 3),x)","\int x^3\,{\ln\left(x+2\right)}^3\,\ln\left(x+3\right) \,d x","Not used",1,"int(x^3*log(x + 2)^3*log(x + 3), x)","F"
30,1,15,17,0.314293,"\text{Not used}","int((x + (b + x^2)^(1/2))^a/(b + x^2)^(1/2),x)","\frac{{\left(x+\sqrt{x^2+b}\right)}^a}{a}","Not used",1,"(x + (b + x^2)^(1/2))^a/a","B"
31,0,-1,52,0.000000,"\text{Not used}","int((x + (b + x^2)^(1/2))^a,x)","\int {\left(x+\sqrt{x^2+b}\right)}^a \,d x","Not used",1,"int((x + (b + x^2)^(1/2))^a, x)","F"
32,0,-1,34,0.000000,"\text{Not used}","int((x^a + x^(2*a) + x^(3*a))*(3*x^a + 2*x^(2*a) + 6)^(1/a),x)","\int \left(x^a+x^{2\,a}+x^{3\,a}\right)\,{\left(3\,x^a+2\,x^{2\,a}+6\right)}^{1/a} \,d x","Not used",1,"int((x^a + x^(2*a) + x^(3*a))*(3*x^a + 2*x^(2*a) + 6)^(1/a), x)","F"
33,1,86,58,0.543193,"\text{Not used}","int(1/(x*(1 - x^2)^(1/3)),x)","\frac{\ln\left(\frac{9\,{\left(1-x^2\right)}^{1/3}}{4}-\frac{9}{4}\right)}{2}+\ln\left(\frac{9\,{\left(1-x^2\right)}^{1/3}}{4}-9\,{\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}^2\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)-\ln\left(\frac{9\,{\left(1-x^2\right)}^{1/3}}{4}-9\,{\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}^2\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)","Not used",1,"log((9*(1 - x^2)^(1/3))/4 - 9/4)/2 + log((9*(1 - x^2)^(1/3))/4 - 9*((3^(1/2)*1i)/4 - 1/4)^2)*((3^(1/2)*1i)/4 - 1/4) - log((9*(1 - x^2)^(1/3))/4 - 9*((3^(1/2)*1i)/4 + 1/4)^2)*((3^(1/2)*1i)/4 + 1/4)","B"
34,1,76,58,0.457332,"\text{Not used}","int(1/(x*(1 - x^2)^(2/3)),x)","\frac{\ln\left(\frac{9\,{\left(1-x^2\right)}^{1/3}}{4}-\frac{9}{4}\right)}{2}+\ln\left(\frac{9\,{\left(1-x^2\right)}^{1/3}}{2}+\frac{9}{4}-\frac{\sqrt{3}\,9{}\mathrm{i}}{4}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)-\ln\left(\frac{9\,{\left(1-x^2\right)}^{1/3}}{2}+\frac{9}{4}+\frac{\sqrt{3}\,9{}\mathrm{i}}{4}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)","Not used",1,"log((9*(1 - x^2)^(1/3))/4 - 9/4)/2 + log((9*(1 - x^2)^(1/3))/2 - (3^(1/2)*9i)/4 + 9/4)*((3^(1/2)*1i)/4 - 1/4) - log((3^(1/2)*9i)/4 + (9*(1 - x^2)^(1/3))/2 + 9/4)*((3^(1/2)*1i)/4 + 1/4)","B"
35,1,10,49,0.334346,"\text{Not used}","int(1/(1 - x^3)^(1/3),x)","x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ x^3\right)","Not used",1,"x*hypergeom([1/3, 1/3], 4/3, x^3)","B"
36,1,80,55,0.514226,"\text{Not used}","int(1/(x*(1 - x^3)^(1/3)),x)","\frac{\ln\left({\left(1-x^3\right)}^{1/3}-1\right)}{3}+\ln\left({\left(1-x^3\right)}^{1/3}-9\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left({\left(1-x^3\right)}^{1/3}-9\,{\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"log((1 - x^3)^(1/3) - 1)/3 + log((1 - x^3)^(1/3) - 9*((3^(1/2)*1i)/6 - 1/6)^2)*((3^(1/2)*1i)/6 - 1/6) - log((1 - x^3)^(1/3) - 9*((3^(1/2)*1i)/6 + 1/6)^2)*((3^(1/2)*1i)/6 + 1/6)","B"
37,0,-1,97,0.000000,"\text{Not used}","int(1/((1 - x^3)^(1/3)*(x + 1)),x)","\int \frac{1}{{\left(1-x^3\right)}^{1/3}\,\left(x+1\right)} \,d x","Not used",1,"int(1/((1 - x^3)^(1/3)*(x + 1)), x)","F"
38,0,-1,145,0.000000,"\text{Not used}","int(x/((1 - x^3)^(1/3)*(x + 1)),x)","\int \frac{x}{{\left(1-x^3\right)}^{1/3}\,\left(x+1\right)} \,d x","Not used",1,"int(x/((1 - x^3)^(1/3)*(x + 1)), x)","F"
39,0,-1,110,0.000000,"\text{Not used}","int(1/(x*(x^2 - 3*x + 2)^(1/3)),x)","\int \frac{1}{x\,{\left(x^2-3\,x+2\right)}^{1/3}} \,d x","Not used",1,"int(1/(x*(x^2 - 3*x + 2)^(1/3)), x)","F"
40,0,-1,81,0.000000,"\text{Not used}","int(1/(7*x - 3*x^2 + x^3 - 5)^(1/3),x)","\int \frac{1}{{\left(x^3-3\,x^2+7\,x-5\right)}^{1/3}} \,d x","Not used",1,"int(1/(7*x - 3*x^2 + x^3 - 5)^(1/3), x)","F"
41,1,37,66,0.393891,"\text{Not used}","int(1/(-x*(q - x^2))^(1/3),x)","\frac{3\,x\,{\left(1-\frac{x^2}{q}\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ \frac{x^2}{q}\right)}{2\,{\left(x^3-q\,x\right)}^{1/3}}","Not used",1,"(3*x*(1 - x^2/q)^(1/3)*hypergeom([1/3, 1/3], 4/3, x^2/q))/(2*(x^3 - q*x)^(1/3))","B"
42,0,-1,79,0.000000,"\text{Not used}","int(1/((x - 1)*(q - 2*x + x^2))^(1/3),x)","\int \frac{1}{{\left(\left(x-1\right)\,\left(x^2-2\,x+q\right)\right)}^{1/3}} \,d x","Not used",1,"int(1/((x - 1)*(q - 2*x + x^2))^(1/3), x)","F"
43,0,-1,118,0.000000,"\text{Not used}","int(1/(x*((x - 1)*(q - 2*q*x + x^2))^(1/3)),x)","\int \frac{1}{x\,{\left(\left(x-1\right)\,\left(x^2-2\,q\,x+q\right)\right)}^{1/3}} \,d x","Not used",1,"int(1/(x*((x - 1)*(q - 2*q*x + x^2))^(1/3)), x)","F"
44,0,-1,111,0.000000,"\text{Not used}","int((x*(k + 1) - 2)/((x*(k + 1) - 1)*(x*(k*x - 1)*(x - 1))^(1/3)),x)","\int \frac{x\,\left(k+1\right)-2}{\left(x\,\left(k+1\right)-1\right)\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{1/3}} \,d x","Not used",1,"int((x*(k + 1) - 2)/((x*(k + 1) - 1)*(x*(k*x - 1)*(x - 1))^(1/3)), x)","F"
45,0,-1,176,0.000000,"\text{Not used}","int(-(k*x - 1)/((x*(k - 2) + 1)*(x*(k*x - 1)*(x - 1))^(2/3)),x)","-\int \frac{k\,x-1}{\left(x\,\left(k-2\right)+1\right)\,{\left(x\,\left(k\,x-1\right)\,\left(x-1\right)\right)}^{2/3}} \,d x","Not used",1,"-int((k*x - 1)/((x*(k - 2) + 1)*(x*(k*x - 1)*(x - 1))^(2/3)), x)","F"
46,0,-1,493,0.000000,"\text{Not used}","int((a + b*x + c*x^2)/((1 - x^3)^(1/3)*(x^2 - x + 1)),x)","\int \frac{c\,x^2+b\,x+a}{{\left(1-x^3\right)}^{1/3}\,\left(x^2-x+1\right)} \,d x","Not used",1,"int((a + b*x + c*x^2)/((1 - x^3)^(1/3)*(x^2 - x + 1)), x)","F"
47,1,343,407,0.474108,"\text{Not used}","int(1/((3 - 2*x)^(11/2)*(x + 2*x^2 + 1)^5),x)","-\frac{\frac{272\,x}{441}-\frac{164\,{\left(2\,x-3\right)}^2}{441}+\frac{1966\,{\left(2\,x-3\right)}^3}{3087}-\frac{9091\,{\left(2\,x-3\right)}^4}{3087}-\frac{32070727\,{\left(2\,x-3\right)}^5}{5531904}-\frac{41014777\,{\left(2\,x-3\right)}^6}{11063808}-\frac{141921511\,{\left(2\,x-3\right)}^7}{154893312}+\frac{23262655\,{\left(2\,x-3\right)}^8}{309786624}+\frac{1571659\,{\left(2\,x-3\right)}^9}{15059072}+\frac{468427\,{\left(2\,x-3\right)}^{10}}{17210368}+\frac{394105\,{\left(2\,x-3\right)}^{11}}{120472576}+\frac{38225\,{\left(2\,x-3\right)}^{12}}{240945152}-\frac{520}{441}}{38416\,{\left(3-2\,x\right)}^{9/2}-76832\,{\left(3-2\,x\right)}^{11/2}+68600\,{\left(3-2\,x\right)}^{13/2}-35672\,{\left(3-2\,x\right)}^{15/2}+11809\,{\left(3-2\,x\right)}^{17/2}-2548\,{\left(3-2\,x\right)}^{19/2}+350\,{\left(3-2\,x\right)}^{21/2}-28\,{\left(3-2\,x\right)}^{23/2}+{\left(3-2\,x\right)}^{25/2}}+\frac{\mathrm{atan}\left(\frac{\sqrt{3-2\,x}\,\sqrt{-149046503977+\sqrt{7}\,12577271771{}\mathrm{i}}\,1572158971375{}\mathrm{i}}{391663056253676053933850624\,\left(-\frac{230036728532618625}{27975932589548289566703616}+\frac{\sqrt{7}\,181960107187971125{}\mathrm{i}}{195831528126838026966925312}\right)}-\frac{1572158971375\,\sqrt{7}\,\sqrt{3-2\,x}\,\sqrt{-149046503977+\sqrt{7}\,12577271771{}\mathrm{i}}}{391663056253676053933850624\,\left(-\frac{230036728532618625}{27975932589548289566703616}+\frac{\sqrt{7}\,181960107187971125{}\mathrm{i}}{195831528126838026966925312}\right)}\right)\,\sqrt{-149046503977+\sqrt{7}\,12577271771{}\mathrm{i}}\,5{}\mathrm{i}}{3373232128}-\frac{\mathrm{atan}\left(\frac{\sqrt{3-2\,x}\,\sqrt{-149046503977-\sqrt{7}\,12577271771{}\mathrm{i}}\,1572158971375{}\mathrm{i}}{391663056253676053933850624\,\left(\frac{230036728532618625}{27975932589548289566703616}+\frac{\sqrt{7}\,181960107187971125{}\mathrm{i}}{195831528126838026966925312}\right)}+\frac{1572158971375\,\sqrt{7}\,\sqrt{3-2\,x}\,\sqrt{-149046503977-\sqrt{7}\,12577271771{}\mathrm{i}}}{391663056253676053933850624\,\left(\frac{230036728532618625}{27975932589548289566703616}+\frac{\sqrt{7}\,181960107187971125{}\mathrm{i}}{195831528126838026966925312}\right)}\right)\,\sqrt{-149046503977-\sqrt{7}\,12577271771{}\mathrm{i}}\,5{}\mathrm{i}}{3373232128}","Not used",1,"(atan(((3 - 2*x)^(1/2)*(7^(1/2)*12577271771i - 149046503977)^(1/2)*1572158971375i)/(391663056253676053933850624*((7^(1/2)*181960107187971125i)/195831528126838026966925312 - 230036728532618625/27975932589548289566703616)) - (1572158971375*7^(1/2)*(3 - 2*x)^(1/2)*(7^(1/2)*12577271771i - 149046503977)^(1/2))/(391663056253676053933850624*((7^(1/2)*181960107187971125i)/195831528126838026966925312 - 230036728532618625/27975932589548289566703616)))*(7^(1/2)*12577271771i - 149046503977)^(1/2)*5i)/3373232128 - ((272*x)/441 - (164*(2*x - 3)^2)/441 + (1966*(2*x - 3)^3)/3087 - (9091*(2*x - 3)^4)/3087 - (32070727*(2*x - 3)^5)/5531904 - (41014777*(2*x - 3)^6)/11063808 - (141921511*(2*x - 3)^7)/154893312 + (23262655*(2*x - 3)^8)/309786624 + (1571659*(2*x - 3)^9)/15059072 + (468427*(2*x - 3)^10)/17210368 + (394105*(2*x - 3)^11)/120472576 + (38225*(2*x - 3)^12)/240945152 - 520/441)/(38416*(3 - 2*x)^(9/2) - 76832*(3 - 2*x)^(11/2) + 68600*(3 - 2*x)^(13/2) - 35672*(3 - 2*x)^(15/2) + 11809*(3 - 2*x)^(17/2) - 2548*(3 - 2*x)^(19/2) + 350*(3 - 2*x)^(21/2) - 28*(3 - 2*x)^(23/2) + (3 - 2*x)^(25/2)) - (atan(((3 - 2*x)^(1/2)*(- 7^(1/2)*12577271771i - 149046503977)^(1/2)*1572158971375i)/(391663056253676053933850624*((7^(1/2)*181960107187971125i)/195831528126838026966925312 + 230036728532618625/27975932589548289566703616)) + (1572158971375*7^(1/2)*(3 - 2*x)^(1/2)*(- 7^(1/2)*12577271771i - 149046503977)^(1/2))/(391663056253676053933850624*((7^(1/2)*181960107187971125i)/195831528126838026966925312 + 230036728532618625/27975932589548289566703616)))*(- 7^(1/2)*12577271771i - 149046503977)^(1/2)*5i)/3373232128","B"
48,1,567,648,0.561143,"\text{Not used}","int(1/((3 - 2*x)^(21/2)*(x + 2*x^2 + 1)^10),x)","\frac{\frac{184192\,{\left(2\,x-3\right)}^2}{47481}-\frac{18944\,x}{2261}-\frac{15552\,{\left(2\,x-3\right)}^3}{4199}+\frac{5666272\,{\left(2\,x-3\right)}^4}{1440257}-\frac{63490768\,{\left(2\,x-3\right)}^5}{12962313}+\frac{533495672\,{\left(2\,x-3\right)}^6}{70572593}-\frac{1111521492\,{\left(2\,x-3\right)}^7}{70572593}+\frac{78007323158\,{\left(2\,x-3\right)}^8}{1482024453}-\frac{250239440467\,{\left(2\,x-3\right)}^9}{494008151}+\frac{1118693654785651073\,{\left(2\,x-3\right)}^{10}}{453254454575104}+\frac{1624300450152249301\,{\left(2\,x-3\right)}^{11}}{97125954551808}+\frac{35048653520674948897\,{\left(2\,x-3\right)}^{12}}{906508909150208}+\frac{95527511967437577915\,{\left(2\,x-3\right)}^{13}}{1813017818300416}+\frac{5640662999731415610547\,{\left(2\,x-3\right)}^{14}}{114220122552926208}+\frac{1737142288764447500149\,{\left(2\,x-3\right)}^{15}}{50764498912411648}+\frac{12971210667229097601055\,{\left(2\,x-3\right)}^{16}}{710702984773763072}+\frac{32723441206946795665235\,{\left(2\,x-3\right)}^{17}}{4264217908642578432}+\frac{102645797034777710681325\,{\left(2\,x-3\right)}^{18}}{39799367147330732032}+\frac{1460931787430200665315\,{\left(2\,x-3\right)}^{19}}{2094703534070038528}+\frac{687618468821894139745\,{\left(2\,x-3\right)}^{20}}{4528256169239642112}+\frac{39968995676603847725\,{\left(2\,x-3\right)}^{21}}{1509418723079880704}+\frac{5940132943613849875\,{\left(2\,x-3\right)}^{22}}{1625527855624486912}+\frac{5717978503620010375\,{\left(2\,x-3\right)}^{23}}{14629750700620382208}+\frac{178056995818325525\,{\left(2\,x-3\right)}^{24}}{5689347494685704192}+\frac{179665281323275\,{\left(2\,x-3\right)}^{25}}{101595490976530432}+\frac{1433237383402275\,{\left(2\,x-3\right)}^{26}}{22757389978742816768}+\frac{24229218097975\,{\left(2\,x-3\right)}^{27}}{22757389978742816768}+\frac{37120}{2261}}{20661046784\,{\left(3-2\,x\right)}^{19/2}-92974710528\,{\left(3-2\,x\right)}^{21/2}+199231522560\,{\left(3-2\,x\right)}^{23/2}-270069397248\,{\left(3-2\,x\right)}^{25/2}+259475340096\,{\left(3-2\,x\right)}^{27/2}-187609683744\,{\left(3-2\,x\right)}^{29/2}+105782451264\,{\left(3-2\,x\right)}^{31/2}-47554666992\,{\left(3-2\,x\right)}^{33/2}+17278167438\,{\left(3-2\,x\right)}^{35/2}-5111496103\,{\left(3-2\,x\right)}^{37/2}+1234154817\,{\left(3-2\,x\right)}^{39/2}-242625852\,{\left(3-2\,x\right)}^{41/2}+38550456\,{\left(3-2\,x\right)}^{43/2}-4883634\,{\left(3-2\,x\right)}^{45/2}+482454\,{\left(3-2\,x\right)}^{47/2}-35868\,{\left(3-2\,x\right)}^{49/2}+1890\,{\left(3-2\,x\right)}^{51/2}-63\,{\left(3-2\,x\right)}^{53/2}+{\left(3-2\,x\right)}^{55/2}}-\frac{\mathrm{atan}\left(\frac{\sqrt{-2293002953699236822393-\sqrt{7}\,30540258843957888971{}\mathrm{i}}\,\sqrt{3-2\,x}\,43774618035829144330316520640625{}\mathrm{i}}{330008698047761583560870082619263806430093600589158123831296\,\left(\frac{803365829195061345550676106938401175484375}{23572049860554398825776434472804557602149542899225580273664}+\frac{\sqrt{7}\,427090967094607473872427449424977178671875{}\mathrm{i}}{165004349023880791780435041309631903215046800294579061915648}\right)}+\frac{43774618035829144330316520640625\,\sqrt{7}\,\sqrt{-2293002953699236822393-\sqrt{7}\,30540258843957888971{}\mathrm{i}}\,\sqrt{3-2\,x}}{330008698047761583560870082619263806430093600589158123831296\,\left(\frac{803365829195061345550676106938401175484375}{23572049860554398825776434472804557602149542899225580273664}+\frac{\sqrt{7}\,427090967094607473872427449424977178671875{}\mathrm{i}}{165004349023880791780435041309631903215046800294579061915648}\right)}\right)\,\sqrt{-2293002953699236822393-\sqrt{7}\,30540258843957888971{}\mathrm{i}}\,11275{}\mathrm{i}}{318603459702399434752}+\frac{\mathrm{atan}\left(\frac{\sqrt{-2293002953699236822393+\sqrt{7}\,30540258843957888971{}\mathrm{i}}\,\sqrt{3-2\,x}\,43774618035829144330316520640625{}\mathrm{i}}{330008698047761583560870082619263806430093600589158123831296\,\left(-\frac{803365829195061345550676106938401175484375}{23572049860554398825776434472804557602149542899225580273664}+\frac{\sqrt{7}\,427090967094607473872427449424977178671875{}\mathrm{i}}{165004349023880791780435041309631903215046800294579061915648}\right)}-\frac{43774618035829144330316520640625\,\sqrt{7}\,\sqrt{-2293002953699236822393+\sqrt{7}\,30540258843957888971{}\mathrm{i}}\,\sqrt{3-2\,x}}{330008698047761583560870082619263806430093600589158123831296\,\left(-\frac{803365829195061345550676106938401175484375}{23572049860554398825776434472804557602149542899225580273664}+\frac{\sqrt{7}\,427090967094607473872427449424977178671875{}\mathrm{i}}{165004349023880791780435041309631903215046800294579061915648}\right)}\right)\,\sqrt{-2293002953699236822393+\sqrt{7}\,30540258843957888971{}\mathrm{i}}\,11275{}\mathrm{i}}{318603459702399434752}","Not used",1,"((184192*(2*x - 3)^2)/47481 - (18944*x)/2261 - (15552*(2*x - 3)^3)/4199 + (5666272*(2*x - 3)^4)/1440257 - (63490768*(2*x - 3)^5)/12962313 + (533495672*(2*x - 3)^6)/70572593 - (1111521492*(2*x - 3)^7)/70572593 + (78007323158*(2*x - 3)^8)/1482024453 - (250239440467*(2*x - 3)^9)/494008151 + (1118693654785651073*(2*x - 3)^10)/453254454575104 + (1624300450152249301*(2*x - 3)^11)/97125954551808 + (35048653520674948897*(2*x - 3)^12)/906508909150208 + (95527511967437577915*(2*x - 3)^13)/1813017818300416 + (5640662999731415610547*(2*x - 3)^14)/114220122552926208 + (1737142288764447500149*(2*x - 3)^15)/50764498912411648 + (12971210667229097601055*(2*x - 3)^16)/710702984773763072 + (32723441206946795665235*(2*x - 3)^17)/4264217908642578432 + (102645797034777710681325*(2*x - 3)^18)/39799367147330732032 + (1460931787430200665315*(2*x - 3)^19)/2094703534070038528 + (687618468821894139745*(2*x - 3)^20)/4528256169239642112 + (39968995676603847725*(2*x - 3)^21)/1509418723079880704 + (5940132943613849875*(2*x - 3)^22)/1625527855624486912 + (5717978503620010375*(2*x - 3)^23)/14629750700620382208 + (178056995818325525*(2*x - 3)^24)/5689347494685704192 + (179665281323275*(2*x - 3)^25)/101595490976530432 + (1433237383402275*(2*x - 3)^26)/22757389978742816768 + (24229218097975*(2*x - 3)^27)/22757389978742816768 + 37120/2261)/(20661046784*(3 - 2*x)^(19/2) - 92974710528*(3 - 2*x)^(21/2) + 199231522560*(3 - 2*x)^(23/2) - 270069397248*(3 - 2*x)^(25/2) + 259475340096*(3 - 2*x)^(27/2) - 187609683744*(3 - 2*x)^(29/2) + 105782451264*(3 - 2*x)^(31/2) - 47554666992*(3 - 2*x)^(33/2) + 17278167438*(3 - 2*x)^(35/2) - 5111496103*(3 - 2*x)^(37/2) + 1234154817*(3 - 2*x)^(39/2) - 242625852*(3 - 2*x)^(41/2) + 38550456*(3 - 2*x)^(43/2) - 4883634*(3 - 2*x)^(45/2) + 482454*(3 - 2*x)^(47/2) - 35868*(3 - 2*x)^(49/2) + 1890*(3 - 2*x)^(51/2) - 63*(3 - 2*x)^(53/2) + (3 - 2*x)^(55/2)) - (atan(((- 7^(1/2)*30540258843957888971i - 2293002953699236822393)^(1/2)*(3 - 2*x)^(1/2)*43774618035829144330316520640625i)/(330008698047761583560870082619263806430093600589158123831296*((7^(1/2)*427090967094607473872427449424977178671875i)/165004349023880791780435041309631903215046800294579061915648 + 803365829195061345550676106938401175484375/23572049860554398825776434472804557602149542899225580273664)) + (43774618035829144330316520640625*7^(1/2)*(- 7^(1/2)*30540258843957888971i - 2293002953699236822393)^(1/2)*(3 - 2*x)^(1/2))/(330008698047761583560870082619263806430093600589158123831296*((7^(1/2)*427090967094607473872427449424977178671875i)/165004349023880791780435041309631903215046800294579061915648 + 803365829195061345550676106938401175484375/23572049860554398825776434472804557602149542899225580273664)))*(- 7^(1/2)*30540258843957888971i - 2293002953699236822393)^(1/2)*11275i)/318603459702399434752 + (atan(((7^(1/2)*30540258843957888971i - 2293002953699236822393)^(1/2)*(3 - 2*x)^(1/2)*43774618035829144330316520640625i)/(330008698047761583560870082619263806430093600589158123831296*((7^(1/2)*427090967094607473872427449424977178671875i)/165004349023880791780435041309631903215046800294579061915648 - 803365829195061345550676106938401175484375/23572049860554398825776434472804557602149542899225580273664)) - (43774618035829144330316520640625*7^(1/2)*(7^(1/2)*30540258843957888971i - 2293002953699236822393)^(1/2)*(3 - 2*x)^(1/2))/(330008698047761583560870082619263806430093600589158123831296*((7^(1/2)*427090967094607473872427449424977178671875i)/165004349023880791780435041309631903215046800294579061915648 - 803365829195061345550676106938401175484375/23572049860554398825776434472804557602149542899225580273664)))*(7^(1/2)*30540258843957888971i - 2293002953699236822393)^(1/2)*11275i)/318603459702399434752","B"
49,1,1017,1058,0.972274,"\text{Not used}","int(1/((3 - 2*x)^(41/2)*(x + 2*x^2 + 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3)^48)/11716519646005562231076824581336666667483136 + (731521029491460764762993572365861799703833*(2*x - 3)^49)/47435302210548834943630868750350877196288 + (145278250114246808817452879440670605483477*(2*x - 3)^50)/126959191210586587643247325184762641907712 + (3054176246891199033401768204622054595917*(2*x - 3)^51)/42319730403528862547749108394920880635904 + (43226241215596960235839037876452347793*(2*x - 3)^52)/11393773570180847609009375337094083248128 + (167572141694212657464927107565976575*(2*x - 3)^53)/1035797597289167964455397757917643931648 + (935756145095208333386444273642906999*(2*x - 3)^54)/174013996344580218028506823330164180516864 + (3250015519725523200399609528788299*(2*x - 3)^55)/24859142334940031146929546190023454359552 + (359910711199433658030176367535945*(2*x - 3)^56)/174013996344580218028506823330164180516864 + (927027754781476746208047620505*(2*x - 3)^57)/58004665448193406009502274443388060172288 + 79953920/10101)/(5976303958948914397184*(3 - 2*x)^(39/2) - 56774887610014686773248*(3 - 2*x)^(41/2) + 263597692475068188590080*(3 - 2*x)^(43/2) - 796876101097706139353088*(3 - 2*x)^(45/2) + 1763207861643670399942656*(3 - 2*x)^(47/2) - 3043249843014358669590528*(3 - 2*x)^(49/2) + 4264137522753475514499072*(3 - 2*x)^(51/2) - 4984324075408572529754112*(3 - 2*x)^(53/2) + 4956568063057422401458176*(3 - 2*x)^(55/2) - 4255315771373708518529024*(3 - 2*x)^(57/2) + 3189779613484873345291264*(3 - 2*x)^(59/2) - 2106235539086912777861632*(3 - 2*x)^(61/2) + 1233708448609783150169088*(3 - 2*x)^(63/2) - 644615788666077029453568*(3 - 2*x)^(65/2) + 301787157080763250721664*(3 - 2*x)^(67/2) - 127037834354660188150464*(3 - 2*x)^(69/2) + 48214067552985728953272*(3 - 2*x)^(71/2) - 16530947936007918636468*(3 - 2*x)^(73/2) + 5127550624086495626518*(3 - 2*x)^(75/2) - 1440010379792375040419*(3 - 2*x)^(77/2) + 366253616006178259037*(3 - 2*x)^(79/2) - 84341571102081217533*(3 - 2*x)^(81/2) + 17570724326889842913*(3 - 2*x)^(83/2) - 3306899061710229804*(3 - 2*x)^(85/2) + 561126236614140036*(3 - 2*x)^(87/2) - 85611621840452988*(3 - 2*x)^(89/2) + 11703514272799272*(3 - 2*x)^(91/2) - 1427192816292922*(3 - 2*x)^(93/2) + 154386157043846*(3 - 2*x)^(95/2) - 14711313018374*(3 - 2*x)^(97/2) + 1223975378934*(3 - 2*x)^(99/2) - 87916389372*(3 - 2*x)^(101/2) + 5372380188*(3 - 2*x)^(103/2) - 273870408*(3 - 2*x)^(105/2) + 11333994*(3 - 2*x)^(107/2) - 365883*(3 - 2*x)^(109/2) + 8645*(3 - 2*x)^(111/2) - 133*(3 - 2*x)^(113/2) + (3 - 2*x)^(115/2)) - (atan(((3 - 2*x)^(1/2)*(- 7^(1/2)*8174286676615564254062463385463197516747256637092086555i - 26470388201611752216024276905374076093636415173409188826601)^(1/2)*12432068249297696284897249001366340523282983937937427139335625i)/(5464454449737477448330433910944515360385310133698367639025956899464609704986819634313026095523633767314455423557204931772416*((7^(1/2)*376655850073799072335964720186587398406296145585988886284558062903152597529420137587598125i)/2732227224868738724165216955472257680192655066849183819512978449732304852493409817156513047761816883657227711778602465886208 + 777520974123765253499790235238946338576340593433713638916736753944556393731049211251145625/390318174981248389166459565067465382884665009549883402787568349961757836070487116736644721108830983379603958825514637983744)) + (12432068249297696284897249001366340523282983937937427139335625*7^(1/2)*(3 - 2*x)^(1/2)*(- 7^(1/2)*8174286676615564254062463385463197516747256637092086555i - 26470388201611752216024276905374076093636415173409188826601)^(1/2))/(5464454449737477448330433910944515360385310133698367639025956899464609704986819634313026095523633767314455423557204931772416*((7^(1/2)*376655850073799072335964720186587398406296145585988886284558062903152597529420137587598125i)/2732227224868738724165216955472257680192655066849183819512978449732304852493409817156513047761816883657227711778602465886208 + 777520974123765253499790235238946338576340593433713638916736753944556393731049211251145625/390318174981248389166459565067465382884665009549883402787568349961757836070487116736644721108830983379603958825514637983744)))*(- 7^(1/2)*8174286676615564254062463385463197516747256637092086555i - 26470388201611752216024276905374076093636415173409188826601)^(1/2)*115i)/812065316274707684133031842207432842412032 + (atan(((3 - 2*x)^(1/2)*(7^(1/2)*8174286676615564254062463385463197516747256637092086555i - 26470388201611752216024276905374076093636415173409188826601)^(1/2)*12432068249297696284897249001366340523282983937937427139335625i)/(5464454449737477448330433910944515360385310133698367639025956899464609704986819634313026095523633767314455423557204931772416*((7^(1/2)*376655850073799072335964720186587398406296145585988886284558062903152597529420137587598125i)/2732227224868738724165216955472257680192655066849183819512978449732304852493409817156513047761816883657227711778602465886208 - 777520974123765253499790235238946338576340593433713638916736753944556393731049211251145625/390318174981248389166459565067465382884665009549883402787568349961757836070487116736644721108830983379603958825514637983744)) - (12432068249297696284897249001366340523282983937937427139335625*7^(1/2)*(3 - 2*x)^(1/2)*(7^(1/2)*8174286676615564254062463385463197516747256637092086555i - 26470388201611752216024276905374076093636415173409188826601)^(1/2))/(5464454449737477448330433910944515360385310133698367639025956899464609704986819634313026095523633767314455423557204931772416*((7^(1/2)*376655850073799072335964720186587398406296145585988886284558062903152597529420137587598125i)/2732227224868738724165216955472257680192655066849183819512978449732304852493409817156513047761816883657227711778602465886208 - 777520974123765253499790235238946338576340593433713638916736753944556393731049211251145625/390318174981248389166459565067465382884665009549883402787568349961757836070487116736644721108830983379603958825514637983744)))*(7^(1/2)*8174286676615564254062463385463197516747256637092086555i - 26470388201611752216024276905374076093636415173409188826601)^(1/2)*115i)/812065316274707684133031842207432842412032","B"
50,0,-1,378,0.000000,"\text{Not used}","int(1/((x + 2*x^2 + 1)^5*(x^2 - 2*x + 3)^(11/2)),x)","\int \frac{1}{{\left(2\,x^2+x+1\right)}^5\,{\left(x^2-2\,x+3\right)}^{11/2}} \,d x","Not used",1,"int(1/((x + 2*x^2 + 1)^5*(x^2 - 2*x + 3)^(11/2)), x)","F"
51,0,-1,638,0.000000,"\text{Not used}","int(1/((x + 2*x^2 + 1)^10*(x^2 - 2*x + 3)^(21/2)),x)","\int \frac{1}{{\left(2\,x^2+x+1\right)}^{10}\,{\left(x^2-2\,x+3\right)}^{21/2}} \,d x","Not used",1,"int(1/((x + 2*x^2 + 1)^10*(x^2 - 2*x + 3)^(21/2)), x)","F"
52,0,-1,66,0.000000,"\text{Not used}","int(-(a - x + (a^2 + 1)^(1/2))/((-(x^2 + 1)*(a - x))^(1/2)*(x - a + (a^2 + 1)^(1/2))),x)","\int -\frac{a-x+\sqrt{a^2+1}}{\sqrt{-\left(x^2+1\right)\,\left(a-x\right)}\,\left(x-a+\sqrt{a^2+1}\right)} \,d x","Not used",1,"int(-(a - x + (a^2 + 1)^(1/2))/((-(x^2 + 1)*(a - x))^(1/2)*(x - a + (a^2 + 1)^(1/2))), x)","F"
53,0,-1,198,0.000000,"\text{Not used}","int((a + b*x)/((1 - x^2)^(1/3)*(x^2 + 3)),x)","\int \frac{a+b\,x}{{\left(1-x^2\right)}^{1/3}\,\left(x^2+3\right)} \,d x","Not used",1,"int((a + b*x)/((1 - x^2)^(1/3)*(x^2 + 3)), x)","F"
54,0,-1,198,0.000000,"\text{Not used}","int(-(a + b*x)/((x^2 + 1)^(1/3)*(x^2 - 3)),x)","\int -\frac{a+b\,x}{{\left(x^2+1\right)}^{1/3}\,\left(x^2-3\right)} \,d x","Not used",1,"int(-(a + b*x)/((x^2 + 1)^(1/3)*(x^2 - 3)), x)","F"
55,0,-1,97,0.000000,"\text{Not used}","int(1/(x*(3*x^2 - 6*x + 4)^(1/3)),x)","\int \frac{1}{x\,{\left(3\,x^2-6\,x+4\right)}^{1/3}} \,d x","Not used",1,"int(1/(x*(3*x^2 - 6*x + 4)^(1/3)), x)","F"
56,0,-1,73,0.000000,"\text{Not used}","int(x*(1 - x^3)^(1/3),x)","\int x\,{\left(1-x^3\right)}^{1/3} \,d x","Not used",1,"int(x*(1 - x^3)^(1/3), x)","F"
57,1,83,67,0.365588,"\text{Not used}","int((1 - x^3)^(1/3)/x,x)","\frac{\ln\left({\left(1-x^3\right)}^{1/3}-1\right)}{3}+\ln\left(3\,{\left(1-x^3\right)}^{1/3}+\frac{3}{2}-\frac{\sqrt{3}\,3{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left(3\,{\left(1-x^3\right)}^{1/3}+\frac{3}{2}+\frac{\sqrt{3}\,3{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+{\left(1-x^3\right)}^{1/3}","Not used",1,"log((1 - x^3)^(1/3) - 1)/3 + log(3*(1 - x^3)^(1/3) - (3^(1/2)*3i)/2 + 3/2)*((3^(1/2)*1i)/6 - 1/6) - log((3^(1/2)*3i)/2 + 3*(1 - x^3)^(1/3) + 3/2)*((3^(1/2)*1i)/6 + 1/6) + (1 - x^3)^(1/3)","B"
58,0,-1,482,0.000000,"\text{Not used}","int((1 - x^3)^(1/3)/(x + 1),x)","\int \frac{{\left(1-x^3\right)}^{1/3}}{x+1} \,d x","Not used",1,"int((1 - x^3)^(1/3)/(x + 1), x)","F"
59,0,-1,280,0.000000,"\text{Not used}","int((1 - x^3)^(1/3)/(x^2 - x + 1),x)","\int \frac{{\left(1-x^3\right)}^{1/3}}{x^2-x+1} \,d x","Not used",1,"int((1 - x^3)^(1/3)/(x^2 - x + 1), x)","F"
60,0,-1,232,0.000000,"\text{Not used}","int((1 - x^3)^(1/3)/(x + 2),x)","\int \frac{{\left(1-x^3\right)}^{1/3}}{x+2} \,d x","Not used",1,"int((1 - x^3)^(1/3)/(x + 2), x)","F"
61,0,-1,168,0.000000,"\text{Not used}","int((x + 2)/((x^3 + 2)^(1/3)*(x + x^2 + 1)),x)","\int \frac{x+2}{{\left(x^3+2\right)}^{1/3}\,\left(x^2+x+1\right)} \,d x","Not used",1,"int((x + 2)/((x^3 + 2)^(1/3)*(x + x^2 + 1)), x)","F"
62,1,23,25,0.073505,"\text{Not used}","int((30*x^2 - 3*x + 160*x^3 + 3)/(24*x - 12*x^2 + 80*x^3 + 320*x^4 + 9),x)","\frac{\ln\left(320\,x^4+80\,x^3-12\,x^2+24\,x+9\right)}{8}","Not used",1,"log(24*x - 12*x^2 + 80*x^3 + 320*x^4 + 9)/8","B"
63,1,53,59,0.335247,"\text{Not used}","int((12*x + 20*x^2 + 3)/(24*x - 12*x^2 + 80*x^3 + 320*x^4 + 9),x)","\frac{\sqrt{11}\,\mathrm{atan}\left(\frac{8\,\sqrt{11}\,x}{11}-\frac{7\,\sqrt{11}}{55}\right)}{22}+\frac{\sqrt{11}\,\mathrm{atan}\left(\frac{400\,\sqrt{11}\,x^3}{33}-\frac{20\,\sqrt{11}\,x^2}{33}+\frac{5\,\sqrt{11}\,x}{11}+\frac{19\,\sqrt{11}}{22}\right)}{22}","Not used",1,"(11^(1/2)*atan((8*11^(1/2)*x)/11 - (7*11^(1/2))/55))/22 + (11^(1/2)*atan((5*11^(1/2)*x)/11 + (19*11^(1/2))/22 - (20*11^(1/2)*x^2)/33 + (400*11^(1/2)*x^3)/33))/22","B"
64,1,76,78,0.089736,"\text{Not used}","int(-(576*x + 400*x^2 - 2560*x^3 + 84)/(24*x - 12*x^2 + 80*x^3 + 320*x^4 + 9),x)","2\,\ln\left(320\,x^4+80\,x^3-12\,x^2+24\,x+9\right)-2\,\sqrt{11}\,\mathrm{atan}\left(\frac{8\,\sqrt{11}\,x}{11}-\frac{7\,\sqrt{11}}{55}\right)-2\,\sqrt{11}\,\mathrm{atan}\left(\frac{400\,\sqrt{11}\,x^3}{33}-\frac{20\,\sqrt{11}\,x^2}{33}+\frac{5\,\sqrt{11}\,x}{11}+\frac{19\,\sqrt{11}}{22}\right)","Not used",1,"2*log(24*x - 12*x^2 + 80*x^3 + 320*x^4 + 9) - 2*11^(1/2)*atan((8*11^(1/2)*x)/11 - (7*11^(1/2))/55) - 2*11^(1/2)*atan((5*11^(1/2)*x)/11 + (19*11^(1/2))/22 - (20*11^(1/2)*x^2)/33 + (400*11^(1/2)*x^3)/33)","B"
65,0,-1,49,0.000000,"\text{Not used}","int((1 - x^4)^(1/2)/(x^4 + 1),x)","\int \frac{\sqrt{1-x^4}}{x^4+1} \,d x","Not used",1,"int((1 - x^4)^(1/2)/(x^4 + 1), x)","F"
66,0,-1,53,0.000000,"\text{Not used}","int(-(x^4 + 1)^(1/2)/(x^4 - 1),x)","-\int \frac{\sqrt{x^4+1}}{x^4-1} \,d x","Not used",1,"-int((x^4 + 1)^(1/2)/(x^4 - 1), x)","F"
67,0,-1,75,0.000000,"\text{Not used}","int(-(p*x^2 + x^4 + 1)^(1/2)/(x^4 - 1),x)","-\int \frac{\sqrt{x^4+p\,x^2+1}}{x^4-1} \,d x","Not used",1,"-int((p*x^2 + x^4 + 1)^(1/2)/(x^4 - 1), x)","F"
68,0,-1,171,0.000000,"\text{Not used}","int((p*x^2 - x^4 + 1)^(1/2)/(x^4 + 1),x)","\int \frac{\sqrt{-x^4+p\,x^2+1}}{x^4+1} \,d x","Not used",1,"int((p*x^2 - x^4 + 1)^(1/2)/(x^4 + 1), x)","F"
69,0,-1,80,0.000000,"\text{Not used}","int(-(a + b*x)/((x^2 - 1)^(1/4)*(x^2 - 2)),x)","\int -\frac{a+b\,x}{{\left(x^2-1\right)}^{1/4}\,\left(x^2-2\right)} \,d x","Not used",1,"int(-(a + b*x)/((x^2 - 1)^(1/4)*(x^2 - 2)), x)","F"
70,0,-1,88,0.000000,"\text{Not used}","int((a + b*x)/((- x^2 - 1)^(1/4)*(x^2 + 2)),x)","\int \frac{a+b\,x}{{\left(-x^2-1\right)}^{1/4}\,\left(x^2+2\right)} \,d x","Not used",1,"int((a + b*x)/((- x^2 - 1)^(1/4)*(x^2 + 2)), x)","F"
71,0,-1,149,0.000000,"\text{Not used}","int(-(a + b*x)/((1 - x^2)^(1/4)*(x^2 - 2)),x)","\int -\frac{a+b\,x}{{\left(1-x^2\right)}^{1/4}\,\left(x^2-2\right)} \,d x","Not used",1,"int(-(a + b*x)/((1 - x^2)^(1/4)*(x^2 - 2)), x)","F"
72,0,-1,135,0.000000,"\text{Not used}","int((a + b*x)/((x^2 + 1)^(1/4)*(x^2 + 2)),x)","\int \frac{a+b\,x}{{\left(x^2+1\right)}^{1/4}\,\left(x^2+2\right)} \,d x","Not used",1,"int((a + b*x)/((x^2 + 1)^(1/4)*(x^2 + 2)), x)","F"
73,1,653,127,0.448909,"\text{Not used}","int(-x/((1 - x^3)^(1/2)*(x^3 - 4)),x)","-\frac{2^{1/3}\,\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{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{2^{2/3}-1};\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)}{3\,\sqrt{1-x^3}\,\left(2^{2/3}-1\right)\,\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)}}-\frac{2^{1/3}\,\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{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{2^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)+1};\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)}{3\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{1-x^3}\,\left(2^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)+1\right)\,\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)}}-\frac{2^{1/3}\,\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{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{2^{2/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1};\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)}{3\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{1-x^3}\,\left(2^{2/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,\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^(1/3)*((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)/(2^(2/3) - 1), 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 - x^3)^(1/2)*(2^(2/3) - 1)*(((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)) - (2^(1/3)*((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)/(2^(2/3)*((3^(1/2)*1i)/2 + 1/2) + 1), 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*((3^(1/2)*1i)/2 + 1/2)*(1 - x^3)^(1/2)*(2^(2/3)*((3^(1/2)*1i)/2 + 1/2) + 1)*(((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)) - (2^(1/3)*((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)/(2^(2/3)*((3^(1/2)*1i)/2 - 1/2) - 1), 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*((3^(1/2)*1i)/2 - 1/2)*(1 - x^3)^(1/2)*(2^(2/3)*((3^(1/2)*1i)/2 - 1/2) - 1)*(((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"
74,1,331,157,15.034049,"\text{Not used}","int(-x/((d*x^3 - 1)^(1/2)*(d*x^3 - 4)),x)","\frac{\sqrt{3}\,{314928}^{1/3}\,\ln\left(\frac{\left(54\,\sqrt{d\,x^3-1}+54\,\sqrt{3}-54\,2^{1/3}\,\sqrt{3}\,d^{1/3}\,x\right)\,{\left(\sqrt{d\,x^3-1}-\sqrt{3}+2^{1/3}\,\sqrt{3}\,d^{1/3}\,x\right)}^3}{{\left(2^{2/3}-d^{1/3}\,x\right)}^6}\right)}{2916\,d^{2/3}}+\frac{\sqrt{3}\,{314928}^{1/3}\,\ln\left(\frac{{\left(2\,\sqrt{d\,x^3-1}+2\,\sqrt{3}+2^{1/3}\,\sqrt{3}\,d^{1/3}\,x+2^{1/3}\,d^{1/3}\,x\,3{}\mathrm{i}\right)}^3\,\left(108\,\sqrt{3}-108\,\sqrt{d\,x^3-1}+54\,2^{1/3}\,\sqrt{3}\,d^{1/3}\,x+2^{1/3}\,d^{1/3}\,x\,162{}\mathrm{i}\right)}{{\left(2^{2/3}+2\,d^{1/3}\,x-2^{2/3}\,\sqrt{3}\,1{}\mathrm{i}\right)}^6}\right)\,\sqrt{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}{2916\,d^{2/3}}+\frac{\sqrt{3}\,{314928}^{1/3}\,\ln\left(\frac{{\left(2\,\sqrt{d\,x^3-1}-2\,\sqrt{3}-2^{1/3}\,\sqrt{3}\,d^{1/3}\,x+2^{1/3}\,d^{1/3}\,x\,3{}\mathrm{i}\right)}^3\,\left(108\,\sqrt{d\,x^3-1}+108\,\sqrt{3}+54\,2^{1/3}\,\sqrt{3}\,d^{1/3}\,x-2^{1/3}\,d^{1/3}\,x\,162{}\mathrm{i}\right)}{{\left(2^{2/3}+2\,d^{1/3}\,x+2^{2/3}\,\sqrt{3}\,1{}\mathrm{i}\right)}^6}\right)\,\sqrt{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\,1{}\mathrm{i}}{2916\,d^{2/3}}","Not used",1,"(3^(1/2)*314928^(1/3)*log(((54*(d*x^3 - 1)^(1/2) + 54*3^(1/2) - 54*2^(1/3)*3^(1/2)*d^(1/3)*x)*((d*x^3 - 1)^(1/2) - 3^(1/2) + 2^(1/3)*3^(1/2)*d^(1/3)*x)^3)/(2^(2/3) - d^(1/3)*x)^6))/(2916*d^(2/3)) + (3^(1/2)*314928^(1/3)*log(((2*(d*x^3 - 1)^(1/2) + 2*3^(1/2) + 2^(1/3)*d^(1/3)*x*3i + 2^(1/3)*3^(1/2)*d^(1/3)*x)^3*(108*3^(1/2) - 108*(d*x^3 - 1)^(1/2) + 2^(1/3)*d^(1/3)*x*162i + 54*2^(1/3)*3^(1/2)*d^(1/3)*x))/(2^(2/3) - 2^(2/3)*3^(1/2)*1i + 2*d^(1/3)*x)^6)*((3^(1/2)*1i)/2 - 1/2)^(1/2))/(2916*d^(2/3)) + (3^(1/2)*314928^(1/3)*log(((2*(d*x^3 - 1)^(1/2) - 2*3^(1/2) + 2^(1/3)*d^(1/3)*x*3i - 2^(1/3)*3^(1/2)*d^(1/3)*x)^3*(108*(d*x^3 - 1)^(1/2) + 108*3^(1/2) - 2^(1/3)*d^(1/3)*x*162i + 54*2^(1/3)*3^(1/2)*d^(1/3)*x))/(2^(2/3)*3^(1/2)*1i + 2^(2/3) + 2*d^(1/3)*x)^6)*((3^(1/2)*1i)/2 + 1/2)^(1/2)*1i)/(2916*d^(2/3))","B"
75,1,533,74,0.211075,"\text{Not used}","int(x/((x^3 - 1)^(1/2)*(x^3 + 8)),x)","\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\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{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6};\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)}{9\,\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)}}-\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\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{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3};\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)\,2{}\mathrm{i}}{9\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\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)}}-\frac{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\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{\sqrt{3}\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3};\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)\,2{}\mathrm{i}}{9\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\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,"(((3^(1/2)*1i)/2 + 3/2)*(-(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)/6 + 1/2, 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)))/(9*(((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)) - (3^(1/2)*((3^(1/2)*1i)/2 + 3/2)*(-(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)*((3^(1/2)*1i)/2 + 3/2)*1i)/3, 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))*2i)/(9*(3^(1/2)*1i - 1)*(((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)) - (3^(1/2)*((3^(1/2)*1i)/2 + 3/2)*(-(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)*((3^(1/2)*1i)/2 + 3/2)*1i)/3, 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))*2i)/(9*(3^(1/2)*1i + 1)*(((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"
76,0,-1,103,0.000000,"\text{Not used}","int(-x/((d*x^3 + 1)^(1/2)*(d*x^3 - 8)),x)","-\int \frac{x}{\sqrt{d\,x^3+1}\,\left(d\,x^3-8\right)} \,d x","Not used",1,"-int(x/((d*x^3 + 1)^(1/2)*(d*x^3 - 8)), x)","F"
77,0,-1,81,0.000000,"\text{Not used}","int(-1/((x^2 - 3)*(1 - 3*x^2)^(1/3)),x)","-\int \frac{1}{\left(x^2-3\right)\,{\left(1-3\,x^2\right)}^{1/3}} \,d x","Not used",1,"-int(1/((x^2 - 3)*(1 - 3*x^2)^(1/3)), x)","F"
78,0,-1,81,0.000000,"\text{Not used}","int(1/((x^2 + 3)*(3*x^2 + 1)^(1/3)),x)","\int \frac{1}{\left(x^2+3\right)\,{\left(3\,x^2+1\right)}^{1/3}} \,d x","Not used",1,"int(1/((x^2 + 3)*(3*x^2 + 1)^(1/3)), x)","F"
79,0,-1,113,0.000000,"\text{Not used}","int(1/((1 - x^2)^(1/3)*(x^2 + 3)),x)","\int \frac{1}{{\left(1-x^2\right)}^{1/3}\,\left(x^2+3\right)} \,d x","Not used",1,"int(1/((1 - x^2)^(1/3)*(x^2 + 3)), x)","F"
80,0,-1,109,0.000000,"\text{Not used}","int(-1/((x^2 + 1)^(1/3)*(x^2 - 3)),x)","-\int \frac{1}{{\left(x^2+1\right)}^{1/3}\,\left(x^2-3\right)} \,d x","Not used",1,"-int(1/((x^2 + 1)^(1/3)*(x^2 - 3)), x)","F"
81,1,217,87,0.169192,"\text{Not used}","int(-(a + x)/((a - x)*(a^2*x - x^2*(a^2 + 1) + x^3)^(1/2)),x)","\frac{4\,a\,\left(a^2-1\right)\,\sqrt{\frac{x}{a^2}}\,\sqrt{\frac{x-1}{a^2-1}}\,\sqrt{-\frac{x-a^2}{a^2-1}}\,\Pi \left(-\frac{a^2-1}{a-a^2};\mathrm{asin}\left(\sqrt{-\frac{x-a^2}{a^2-1}}\right)\middle|\frac{a^2-1}{a^2}\right)}{\left(a-a^2\right)\,\sqrt{a^2\,x-x^2\,\left(a^2+1\right)+x^3}}-\frac{2\,\left(a^2-1\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-a^2}{a^2-1}}\right)\middle|\frac{a^2-1}{a^2}\right)\,\sqrt{\frac{x}{a^2}}\,\sqrt{\frac{x-1}{a^2-1}}\,\sqrt{-\frac{x-a^2}{a^2-1}}}{\sqrt{a^2\,x-x^2\,\left(a^2+1\right)+x^3}}","Not used",1,"(4*a*(a^2 - 1)*(x/a^2)^(1/2)*((x - 1)/(a^2 - 1))^(1/2)*(-(x - a^2)/(a^2 - 1))^(1/2)*ellipticPi(-(a^2 - 1)/(a - a^2), asin((-(x - a^2)/(a^2 - 1))^(1/2)), (a^2 - 1)/a^2))/((a - a^2)*(a^2*x - x^2*(a^2 + 1) + x^3)^(1/2)) - (2*(a^2 - 1)*ellipticF(asin((-(x - a^2)/(a^2 - 1))^(1/2)), (a^2 - 1)/a^2)*(x/a^2)^(1/2)*((x - 1)/(a^2 - 1))^(1/2)*(-(x - a^2)/(a^2 - 1))^(1/2))/(a^2*x - x^2*(a^2 + 1) + x^3)^(1/2)","B"
82,1,207,1,0.477632,"\text{Not used}","int(-(a + x - 2)/((a - x)*(x^3 - x^2*(2*a - a^2 + 1) - a*x*(a - 2))^(1/2)),x)","\frac{2\,\sqrt{\frac{x}{2\,a-a^2}}\,\sqrt{-\frac{x-1}{a^2-2\,a+1}}\,{\left(a-1\right)}^2\,\sqrt{\frac{a^2-2\,a+x}{a^2-2\,a+1}}\,\left(a\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{a^2-2\,a+x}{a^2-2\,a+1}}\right)\middle|-\frac{a^2-2\,a+1}{2\,a-a^2}\right)-2\,\Pi \left(-\frac{a^2-2\,a+1}{a-a^2};\mathrm{asin}\left(\sqrt{\frac{a^2-2\,a+x}{a^2-2\,a+1}}\right)\middle|-\frac{a^2-2\,a+1}{2\,a-a^2}\right)\right)}{a\,\sqrt{x^3+\left(a^2-2\,a-1\right)\,x^2+\left(2\,a-a^2\right)\,x}}","Not used",1,"(2*(x/(2*a - a^2))^(1/2)*(-(x - 1)/(a^2 - 2*a + 1))^(1/2)*(a - 1)^2*((x - 2*a + a^2)/(a^2 - 2*a + 1))^(1/2)*(a*ellipticF(asin(((x - 2*a + a^2)/(a^2 - 2*a + 1))^(1/2)), -(a^2 - 2*a + 1)/(2*a - a^2)) - 2*ellipticPi(-(a^2 - 2*a + 1)/(a - a^2), asin(((x - 2*a + a^2)/(a^2 - 2*a + 1))^(1/2)), -(a^2 - 2*a + 1)/(2*a - a^2))))/(a*(x*(2*a - a^2) - x^2*(2*a - a^2 + 1) + x^3)^(1/2))","B"
83,-1,-1,46,0.000000,"\text{Not used}","int((a - x*(2*a - 1))/((a - x)*(x^3*(2*a - 1) - x^2*(2*a + a^2 - 1) + a^2*x)^(1/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
84,1,67,32,1.686018,"\text{Not used}","int(-(2^(1/3)*x - 1)/((x^3 + 1)^(1/2)*(x + 2^(2/3))),x)","\frac{\sqrt{3}\,\ln\left(\frac{\left(\sqrt{3}\,1{}\mathrm{i}+\sqrt{x^3+1}+2^{1/3}\,\sqrt{3}\,x\,1{}\mathrm{i}\right)\,{\left(\sqrt{3}\,1{}\mathrm{i}-\sqrt{x^3+1}+2^{1/3}\,\sqrt{3}\,x\,1{}\mathrm{i}\right)}^3}{{\left(x+2^{2/3}\right)}^6}\right)\,1{}\mathrm{i}}{3}","Not used",1,"(3^(1/2)*log(((3^(1/2)*1i + (x^3 + 1)^(1/2) + 2^(1/3)*3^(1/2)*x*1i)*(3^(1/2)*1i - (x^3 + 1)^(1/2) + 2^(1/3)*3^(1/2)*x*1i)^3)/(x + 2^(2/3))^6)*1i)/3","B"
85,1,204,23,0.219097,"\text{Not used}","int((x + 1)/((x^3 + 1)^(1/2)*(x - 2)),x)","\frac{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\left(\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)-\Pi \left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6};\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)\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{\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,"((3^(1/2)*1i + 3)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(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)) - ellipticPi((3^(1/2)*1i)/6 + 1/2, 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)))*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
86,0,-1,218,0.000000,"\text{Not used}","int(x/((x^3 + 1)^(1/2)*(6*3^(1/2) + x^3 + 10)),x)","\int \frac{x}{\sqrt{x^3+1}\,\left(x^3+6\,\sqrt{3}+10\right)} \,d x","Not used",1,"int(x/((x^3 + 1)^(1/2)*(6*3^(1/2) + x^3 + 10)), x)","F"
87,0,-1,210,0.000000,"\text{Not used}","int(x/((x^3 + 1)^(1/2)*(x^3 - 6*3^(1/2) + 10)),x)","\int \frac{x}{\sqrt{x^3+1}\,\left(x^3-6\,\sqrt{3}+10\right)} \,d x","Not used",1,"int(x/((x^3 + 1)^(1/2)*(x^3 - 6*3^(1/2) + 10)), x)","F"
88,0,-1,222,0.000000,"\text{Not used}","int(-x/((x^3 - 1)^(1/2)*(6*3^(1/2) - x^3 + 10)),x)","\int -\frac{x}{\sqrt{x^3-1}\,\left(-x^3+6\,\sqrt{3}+10\right)} \,d x","Not used",1,"int(-x/((x^3 - 1)^(1/2)*(6*3^(1/2) - x^3 + 10)), x)","F"
89,0,-1,214,0.000000,"\text{Not used}","int(x/((x^3 - 1)^(1/2)*(6*3^(1/2) + x^3 - 10)),x)","\int \frac{x}{\sqrt{x^3-1}\,\left(x^3+6\,\sqrt{3}-10\right)} \,d x","Not used",1,"int(x/((x^3 - 1)^(1/2)*(6*3^(1/2) + x^3 - 10)), x)","F"
90,0,-1,65,0.000000,"\text{Not used}","int((x - 3^(1/2) + 1)/((x + 3^(1/2) + 1)*(4*3^(1/2)*x^2 + x^4 - 4)^(1/2)),x)","\int \frac{x-\sqrt{3}+1}{\left(x+\sqrt{3}+1\right)\,\sqrt{x^4+4\,\sqrt{3}\,x^2-4}} \,d x","Not used",1,"int((x - 3^(1/2) + 1)/((x + 3^(1/2) + 1)*(4*3^(1/2)*x^2 + x^4 - 4)^(1/2)), x)","F"
91,0,-1,63,0.000000,"\text{Not used}","int((x + 3^(1/2) + 1)/((x^4 - 4*3^(1/2)*x^2 - 4)^(1/2)*(x - 3^(1/2) + 1)),x)","\int \frac{x+\sqrt{3}+1}{\sqrt{x^4-4\,\sqrt{3}\,x^2-4}\,\left(x-\sqrt{3}+1\right)} \,d x","Not used",1,"int((x + 3^(1/2) + 1)/((x^4 - 4*3^(1/2)*x^2 - 4)^(1/2)*(x - 3^(1/2) + 1)), x)","F"
92,0,-1,53,0.000000,"\text{Not used}","int((x - 1)/((x^3 + 2)^(1/3)*(x + 1)),x)","\int \frac{x-1}{{\left(x^3+2\right)}^{1/3}\,\left(x+1\right)} \,d x","Not used",1,"int((x - 1)/((x^3 + 2)^(1/3)*(x + 1)), x)","F"
93,0,-1,108,0.000000,"\text{Not used}","int(1/((x^3 + 2)^(1/3)*(x + 1)),x)","\int \frac{1}{{\left(x^3+2\right)}^{1/3}\,\left(x+1\right)} \,d x","Not used",1,"int(1/((x^3 + 2)^(1/3)*(x + 1)), x)","F"
94,0,-1,98,0.000000,"\text{Not used}","int(-1/((x^3 - 1)*(a + b*x^3)^(1/3)),x)","-\int \frac{1}{\left(x^3-1\right)\,{\left(b\,x^3+a\right)}^{1/3}} \,d x","Not used",1,"-int(1/((x^3 - 1)*(a + b*x^3)^(1/3)), x)","F"
95,0,-1,154,0.000000,"\text{Not used}","int((x + 1)/((a + b*x^3)^(1/3)*(x + x^2 + 1)),x)","\int \frac{x+1}{{\left(b\,x^3+a\right)}^{1/3}\,\left(x^2+x+1\right)} \,d x","Not used",1,"int((x + 1)/((a + b*x^3)^(1/3)*(x + x^2 + 1)), x)","F"
96,1,157,96,0.589787,"\text{Not used}","int(-x^2/((x^3 - 1)*(a + b*x^3)^(1/3)),x)","\frac{\ln\left({\left(b\,x^3+a\right)}^{1/3}-\frac{9\,a+9\,b}{9\,{\left(-a-b\right)}^{2/3}}\right)}{3\,{\left(-a-b\right)}^{1/3}}+\frac{\ln\left({\left(b\,x^3+a\right)}^{1/3}-\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(9\,a+9\,b\right)}{36\,{\left(-a-b\right)}^{2/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-a-b\right)}^{1/3}}-\frac{\ln\left({\left(b\,x^3+a\right)}^{1/3}-\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(9\,a+9\,b\right)}{36\,{\left(-a-b\right)}^{2/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-a-b\right)}^{1/3}}","Not used",1,"log((a + b*x^3)^(1/3) - (9*a + 9*b)/(9*(- a - b)^(2/3)))/(3*(- a - b)^(1/3)) + (log((a + b*x^3)^(1/3) - ((3^(1/2)*1i - 1)^2*(9*a + 9*b))/(36*(- a - b)^(2/3)))*(3^(1/2)*1i - 1))/(6*(- a - b)^(1/3)) - (log((a + b*x^3)^(1/3) - ((3^(1/2)*1i + 1)^2*(9*a + 9*b))/(36*(- a - b)^(2/3)))*(3^(1/2)*1i + 1))/(6*(- a - b)^(1/3))","B"
97,0,-1,88,0.000000,"\text{Not used}","int(1/((1 - x^3)^(1/3)*(x^3 + 1)),x)","\int \frac{1}{{\left(1-x^3\right)}^{1/3}\,\left(x^3+1\right)} \,d x","Not used",1,"int(1/((1 - x^3)^(1/3)*(x^3 + 1)), x)","F"
98,0,-1,233,0.000000,"\text{Not used}","int(x/((1 - x^3)^(1/3)*(x^3 + 1)),x)","\int \frac{x}{{\left(1-x^3\right)}^{1/3}\,\left(x^3+1\right)} \,d x","Not used",1,"int(x/((1 - x^3)^(1/3)*(x^3 + 1)), x)","F"
99,1,100,82,0.548469,"\text{Not used}","int(x^2/((1 - x^3)^(1/3)*(x^3 + 1)),x)","\frac{2^{2/3}\,\ln\left({\left(1-x^3\right)}^{1/3}-2^{1/3}\right)}{6}+\frac{2^{2/3}\,\ln\left({\left(1-x^3\right)}^{1/3}-\frac{2^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{12}-\frac{2^{2/3}\,\ln\left({\left(1-x^3\right)}^{1/3}-\frac{2^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{12}","Not used",1,"(2^(2/3)*log((1 - x^3)^(1/3) - 2^(1/3)))/6 + (2^(2/3)*log((1 - x^3)^(1/3) - (2^(1/3)*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/12 - (2^(2/3)*log((1 - x^3)^(1/3) - (2^(1/3)*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/12","B"
100,0,-1,135,0.000000,"\text{Not used}","int((x + 1)/((1 - x^3)^(1/3)*(x^2 - x + 1)),x)","\int \frac{x+1}{{\left(1-x^3\right)}^{1/3}\,\left(x^2-x+1\right)} \,d x","Not used",1,"int((x + 1)/((1 - x^3)^(1/3)*(x^2 - x + 1)), x)","F"
101,0,-1,135,0.000000,"\text{Not used}","int((x + 1)^2/((1 - x^3)^(1/3)*(x^3 + 1)),x)","\int \frac{{\left(x+1\right)}^2}{{\left(1-x^3\right)}^{1/3}\,\left(x^3+1\right)} \,d x","Not used",1,"int((x + 1)^2/((1 - x^3)^(1/3)*(x^3 + 1)), x)","F"
102,0,-1,119,0.000000,"\text{Not used}","int(-(x - 1)/((x^3 + 1)^(1/3)*(x + x^2 + 1)),x)","-\int \frac{x-1}{{\left(x^3+1\right)}^{1/3}\,\left(x^2+x+1\right)} \,d x","Not used",1,"-int((x - 1)/((x^3 + 1)^(1/3)*(x + x^2 + 1)), x)","F"
103,0,-1,43,0.000000,"\text{Not used}","int((1 - x^3)^(2/3)/(x + x^2 + 1)^2,x)","\int \frac{{\left(1-x^3\right)}^{2/3}}{{\left(x^2+x+1\right)}^2} \,d x","Not used",1,"int((1 - x^3)^(2/3)/(x + x^2 + 1)^2, x)","F"
104,0,-1,43,0.000000,"\text{Not used}","int(-(x - 1)/((1 - x^3)^(1/3)*(x + x^2 + 1)),x)","-\int \frac{x-1}{{\left(1-x^3\right)}^{1/3}\,\left(x^2+x+1\right)} \,d x","Not used",1,"-int((x - 1)/((1 - x^3)^(1/3)*(x + x^2 + 1)), x)","F"
105,0,-1,39,0.000000,"\text{Not used}","int((x - 1)^2/(1 - x^3)^(4/3),x)","\int \frac{{\left(x-1\right)}^2}{{\left(1-x^3\right)}^{4/3}} \,d x","Not used",1,"int((x - 1)^2/(1 - x^3)^(4/3), x)","F"
106,1,10,67,0.342132,"\text{Not used}","int((1 - x^3)^(2/3),x)","x\,{{}}_2{\mathrm{F}}_1\left(-\frac{2}{3},\frac{1}{3};\ \frac{4}{3};\ x^3\right)","Not used",1,"x*hypergeom([-2/3, 1/3], 4/3, x^3)","B"
107,1,91,70,0.403401,"\text{Not used}","int((1 - x^3)^(2/3)/x,x)","\frac{\ln\left({\left(1-x^3\right)}^{1/3}-1\right)}{3}+\ln\left({\left(1-x^3\right)}^{1/3}-9\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left({\left(1-x^3\right)}^{1/3}-9\,{\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\frac{{\left(1-x^3\right)}^{2/3}}{2}","Not used",1,"log((1 - x^3)^(1/3) - 1)/3 + log((1 - x^3)^(1/3) - 9*((3^(1/2)*1i)/6 - 1/6)^2)*((3^(1/2)*1i)/6 - 1/6) - log((1 - x^3)^(1/3) - 9*((3^(1/2)*1i)/6 + 1/6)^2)*((3^(1/2)*1i)/6 + 1/6) + (1 - x^3)^(2/3)/2","B"
108,0,-1,384,0.000000,"\text{Not used}","int((1 - x^3)^(2/3)/(a + b*x),x)","\int \frac{{\left(1-x^3\right)}^{2/3}}{a+b\,x} \,d x","Not used",1,"int((1 - x^3)^(2/3)/(a + b*x), x)","F"
109,0,-1,234,0.000000,"\text{Not used}","int((1 - x^3)^(2/3)/(x^2 - x + 1)^2,x)","\int \frac{{\left(1-x^3\right)}^{2/3}}{{\left(x^2-x+1\right)}^2} \,d x","Not used",1,"int((1 - x^3)^(2/3)/(x^2 - x + 1)^2, x)","F"
110,0,-1,199,0.000000,"\text{Not used}","int(-((2*x - 1)*(1 - x^3)^(2/3))/(x^2 - x + 1)^2,x)","-\int \frac{\left(2\,x-1\right)\,{\left(1-x^3\right)}^{2/3}}{{\left(x^2-x+1\right)}^2} \,d x","Not used",1,"-int(((2*x - 1)*(1 - x^3)^(2/3))/(x^2 - x + 1)^2, x)","F"
111,0,-1,177,0.000000,"\text{Not used}","int((1 - x^3)^(2/3)/(x + 1),x)","\int \frac{{\left(1-x^3\right)}^{2/3}}{x+1} \,d x","Not used",1,"int((1 - x^3)^(2/3)/(x + 1), x)","F"
112,0,-1,177,0.000000,"\text{Not used}","int(((1 - x^3)^(2/3)*(x^2 - x + 1))/(x^3 + 1),x)","\int \frac{{\left(1-x^3\right)}^{2/3}\,\left(x^2-x+1\right)}{x^3+1} \,d x","Not used",1,"int(((1 - x^3)^(2/3)*(x^2 - x + 1))/(x^3 + 1), x)","F"
113,0,-1,132,0.000000,"\text{Not used}","int((1 - x^3)^(2/3)/(x^3 + 1),x)","\int \frac{{\left(1-x^3\right)}^{2/3}}{x^3+1} \,d x","Not used",1,"int((1 - x^3)^(2/3)/(x^3 + 1), x)","F"
114,0,-1,250,0.000000,"\text{Not used}","int((x*(1 - x^3)^(2/3))/(x^3 + 1),x)","\int \frac{x\,{\left(1-x^3\right)}^{2/3}}{x^3+1} \,d x","Not used",1,"int((x*(1 - x^3)^(2/3))/(x^3 + 1), x)","F"
115,0,-1,383,0.000000,"\text{Not used}","int(-((1 - x^3)^(2/3)*(x - 1))/(x^3 + 1),x)","-\int \frac{{\left(1-x^3\right)}^{2/3}\,\left(x-1\right)}{x^3+1} \,d x","Not used",1,"-int(((1 - x^3)^(2/3)*(x - 1))/(x^3 + 1), x)","F"
116,0,-1,272,0.000000,"\text{Not used}","int((1 - x^3)^(1/3)/(x^3 + 1),x)","\int \frac{{\left(1-x^3\right)}^{1/3}}{x^3+1} \,d x","Not used",1,"int((1 - x^3)^(1/3)/(x^3 + 1), x)","F"