1,1,13,0,0.907027," ","integrate(1/(-a*x+1)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{-a x + 1}}{a}"," ",0,"-2*sqrt(-a*x + 1)/a","A",0
2,1,41,0,1.057382," ","integrate(1/2*(log(a*x-1)-2*log(-(a*x-1)^(1/2)))/pi/(a*x-1)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{a x - 1} \log\left(a x - 1\right) - 2 \, \sqrt{a x - 1} \log\left(-\sqrt{a x - 1}\right)}{\pi a}"," ",0,"(sqrt(a*x - 1)*log(a*x - 1) - 2*sqrt(a*x - 1)*log(-sqrt(a*x - 1)))/(pi*a)","B",0
3,1,177,0,0.912673," ","integrate(1/(2*x+(x^2+1)^(1/2))^2,x, algorithm=""giac"")","\frac{1}{18} \, \sqrt{3} \log\left(\frac{{\left| 6 \, x - 2 \, \sqrt{3} \right|}}{{\left| 6 \, x + 2 \, \sqrt{3} \right|}}\right) - \frac{1}{18} \, \sqrt{3} \log\left(-\frac{{\left| -6 \, x - 8 \, \sqrt{3} + 6 \, \sqrt{x^{2} + 1} - \frac{6}{x - \sqrt{x^{2} + 1}} \right|}}{2 \, {\left(3 \, x - 4 \, \sqrt{3} - 3 \, \sqrt{x^{2} + 1} + \frac{3}{x - \sqrt{x^{2} + 1}}\right)}}\right) - \frac{4 \, {\left(x - \sqrt{x^{2} + 1} + \frac{1}{x - \sqrt{x^{2} + 1}}\right)}}{3 \, {\left(3 \, {\left(x - \sqrt{x^{2} + 1} + \frac{1}{x - \sqrt{x^{2} + 1}}\right)}^{2} - 16\right)}} - \frac{4 \, x}{3 \, {\left(3 \, x^{2} - 1\right)}}"," ",0,"1/18*sqrt(3)*log(abs(6*x - 2*sqrt(3))/abs(6*x + 2*sqrt(3))) - 1/18*sqrt(3)*log(-1/2*abs(-6*x - 8*sqrt(3) + 6*sqrt(x^2 + 1) - 6/(x - sqrt(x^2 + 1)))/(3*x - 4*sqrt(3) - 3*sqrt(x^2 + 1) + 3/(x - sqrt(x^2 + 1)))) - 4/3*(x - sqrt(x^2 + 1) + 1/(x - sqrt(x^2 + 1)))/(3*(x - sqrt(x^2 + 1) + 1/(x - sqrt(x^2 + 1)))^2 - 16) - 4/3*x/(3*x^2 - 1)","B",0
4,1,94,0,0.938076," ","integrate(1/(3*x^2-4)^2/(x^2-1)^(1/2),x, algorithm=""giac"")","\frac{5 \, {\left(x - \sqrt{x^{2} - 1}\right)}^{2} - 3}{4 \, {\left(3 \, {\left(x - \sqrt{x^{2} - 1}\right)}^{4} - 10 \, {\left(x - \sqrt{x^{2} - 1}\right)}^{2} + 3\right)}} - \frac{5}{32} \, \log\left({\left| 3 \, {\left(x - \sqrt{x^{2} - 1}\right)}^{2} - 1 \right|}\right) + \frac{5}{32} \, \log\left({\left| {\left(x - \sqrt{x^{2} - 1}\right)}^{2} - 3 \right|}\right)"," ",0,"1/4*(5*(x - sqrt(x^2 - 1))^2 - 3)/(3*(x - sqrt(x^2 - 1))^4 - 10*(x - sqrt(x^2 - 1))^2 + 3) - 5/32*log(abs(3*(x - sqrt(x^2 - 1))^2 - 1)) + 5/32*log(abs((x - sqrt(x^2 - 1))^2 - 3))","B",0
5,-2,0,0,0.000000," ","integrate(1/(2*x^(1/2)+(1+x)^(1/2))^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1]%%%}+%%%{-2,[0]%%%},0,1] at parameters values [-89]Warning, choosing root of [1,0,%%%{-4,[1]%%%}+%%%{-2,[0]%%%},0,1] at parameters values [63]2*((-5*(x+1)+4)/6/(3*(x+1)-4)+5/18*ln(abs(3*(x+1)-4))+2*(1/9*ln((sqrt(x)-sqrt(x+1))^2)+5/36*ln(abs((sqrt(x)-sqrt(x+1))^2-3))-5/36*ln(abs(3*(sqrt(x)-sqrt(x+1))^2-1))-(10*(sqrt(x)-sqrt(x+1))^2-6)/9/(3*(sqrt(x)-sqrt(x+1))^4-10*(sqrt(x)-sqrt(x+1))^2+3)))","F(-2)",0
6,1,84,0,1.068124," ","integrate((x^2-1)^(1/2)/(-I+x)^2,x, algorithm=""giac"")","i \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(x - \sqrt{x^{2} - 1} - i\right)}\right) + \frac{2 \, {\left(i \, x - i \, \sqrt{x^{2} - 1} - 1\right)}}{{\left(x - \sqrt{x^{2} - 1}\right)}^{2} - 2 i \, x + 2 i \, \sqrt{x^{2} - 1} + 1} - \log\left({\left| -x + \sqrt{x^{2} - 1} \right|}\right)"," ",0,"I*sqrt(2)*arctan(-1/2*sqrt(2)*(x - sqrt(x^2 - 1) - I)) + 2*(I*x - I*sqrt(x^2 - 1) - 1)/((x - sqrt(x^2 - 1))^2 - 2*I*x + 2*I*sqrt(x^2 - 1) + 1) - log(abs(-x + sqrt(x^2 - 1)))","A",0
7,1,101,0,0.960660," ","integrate(1/(x^2+1)^2/(x^2-1)^(1/2),x, algorithm=""giac"")","-\frac{3}{16} \, \sqrt{2} \log\left(\frac{{\left(x - \sqrt{x^{2} - 1}\right)}^{2} - 2 \, \sqrt{2} + 3}{{\left(x - \sqrt{x^{2} - 1}\right)}^{2} + 2 \, \sqrt{2} + 3}\right) - \frac{3 \, {\left(x - \sqrt{x^{2} - 1}\right)}^{2} + 1}{2 \, {\left({\left(x - \sqrt{x^{2} - 1}\right)}^{4} + 6 \, {\left(x - \sqrt{x^{2} - 1}\right)}^{2} + 1\right)}}"," ",0,"-3/16*sqrt(2)*log(((x - sqrt(x^2 - 1))^2 - 2*sqrt(2) + 3)/((x - sqrt(x^2 - 1))^2 + 2*sqrt(2) + 3)) - 1/2*(3*(x - sqrt(x^2 - 1))^2 + 1)/((x - sqrt(x^2 - 1))^4 + 6*(x - sqrt(x^2 - 1))^2 + 1)","B",0
8,1,20,0,0.948567," ","integrate(1/(-1+x)^(1/2)/((-1+x)^(1/2)+x^(1/2))^2,x, algorithm=""giac"")","\frac{4}{3} \, {\left(x - 1\right)}^{\frac{3}{2}} - \frac{4}{3} \, x^{\frac{3}{2}} + 2 \, \sqrt{x - 1}"," ",0,"4/3*(x - 1)^(3/2) - 4/3*x^(3/2) + 2*sqrt(x - 1)","A",0
9,1,367,0,8.762338," ","integrate(1/(x^2-1)^(1/2)/(x^(1/2)+(x^2-1)^(1/2))^2,x, algorithm=""giac"")","\frac{2}{5} \, \sqrt{\frac{1}{10}} \sqrt{5 \, \sqrt{5} - 11} \arctan\left(\frac{2 \, x + \sqrt{5} - 2 \, \sqrt{x^{2} - 1} - 1}{\sqrt{2 \, \sqrt{5} - 2}}\right) + \frac{1}{5} \, \sqrt{\frac{1}{10}} \sqrt{5 \, \sqrt{5} + 11} \log\left({\left| -153040 \, x + 22956 \, \sqrt{5} \sqrt{50 \, \sqrt{5} + 110} + 76520 \, \sqrt{5} + 153040 \, \sqrt{x^{2} - 1} - 38260 \, \sqrt{50 \, \sqrt{5} + 110} + 76520 \right|}\right) - \frac{1}{5} \, \sqrt{\frac{1}{10}} \sqrt{5 \, \sqrt{5} + 11} \log\left({\left| -153040 \, x - 22956 \, \sqrt{5} \sqrt{50 \, \sqrt{5} + 110} + 76520 \, \sqrt{5} + 153040 \, \sqrt{x^{2} - 1} + 38260 \, \sqrt{50 \, \sqrt{5} + 110} + 76520 \right|}\right) + \frac{1}{25} \, \sqrt{50 \, \sqrt{5} - 110} \arctan\left(\frac{\sqrt{x}}{\sqrt{\frac{1}{2} \, \sqrt{5} - \frac{1}{2}}}\right) - \frac{1}{50} \, \sqrt{50 \, \sqrt{5} + 110} \log\left(\sqrt{x} + \sqrt{\frac{1}{2} \, \sqrt{5} + \frac{1}{2}}\right) + \frac{1}{50} \, \sqrt{50 \, \sqrt{5} + 110} \log\left({\left| \sqrt{x} - \sqrt{\frac{1}{2} \, \sqrt{5} + \frac{1}{2}} \right|}\right) + \frac{4 \, {\left({\left(x - \sqrt{x^{2} - 1}\right)}^{3} + 2 \, {\left(x - \sqrt{x^{2} - 1}\right)}^{2} + 3 \, x - 3 \, \sqrt{x^{2} - 1} - 2\right)}}{5 \, {\left({\left(x - \sqrt{x^{2} - 1}\right)}^{4} - 2 \, {\left(x - \sqrt{x^{2} - 1}\right)}^{3} - 2 \, {\left(x - \sqrt{x^{2} - 1}\right)}^{2} - 2 \, x + 2 \, \sqrt{x^{2} - 1} + 1\right)}} + \frac{2 \, {\left(2 \, x^{\frac{3}{2}} - \sqrt{x}\right)}}{5 \, {\left(x^{2} - x - 1\right)}}"," ",0,"2/5*sqrt(1/10)*sqrt(5*sqrt(5) - 11)*arctan((2*x + sqrt(5) - 2*sqrt(x^2 - 1) - 1)/sqrt(2*sqrt(5) - 2)) + 1/5*sqrt(1/10)*sqrt(5*sqrt(5) + 11)*log(abs(-153040*x + 22956*sqrt(5)*sqrt(50*sqrt(5) + 110) + 76520*sqrt(5) + 153040*sqrt(x^2 - 1) - 38260*sqrt(50*sqrt(5) + 110) + 76520)) - 1/5*sqrt(1/10)*sqrt(5*sqrt(5) + 11)*log(abs(-153040*x - 22956*sqrt(5)*sqrt(50*sqrt(5) + 110) + 76520*sqrt(5) + 153040*sqrt(x^2 - 1) + 38260*sqrt(50*sqrt(5) + 110) + 76520)) + 1/25*sqrt(50*sqrt(5) - 110)*arctan(sqrt(x)/sqrt(1/2*sqrt(5) - 1/2)) - 1/50*sqrt(50*sqrt(5) + 110)*log(sqrt(x) + sqrt(1/2*sqrt(5) + 1/2)) + 1/50*sqrt(50*sqrt(5) + 110)*log(abs(sqrt(x) - sqrt(1/2*sqrt(5) + 1/2))) + 4/5*((x - sqrt(x^2 - 1))^3 + 2*(x - sqrt(x^2 - 1))^2 + 3*x - 3*sqrt(x^2 - 1) - 2)/((x - sqrt(x^2 - 1))^4 - 2*(x - sqrt(x^2 - 1))^3 - 2*(x - sqrt(x^2 - 1))^2 - 2*x + 2*sqrt(x^2 - 1) + 1) + 2/5*(2*x^(3/2) - sqrt(x))/(x^2 - x - 1)","B",0
10,1,358,0,9.218062," ","integrate((x^(1/2)-(x^2-1)^(1/2))^2/(-x^2+x+1)^2/(x^2-1)^(1/2),x, algorithm=""giac"")","\frac{2}{5} \, \sqrt{\frac{1}{2} \, \sqrt{5} - \frac{11}{10}} \arctan\left(\frac{2 \, x + \sqrt{5} - 2 \, \sqrt{x^{2} - 1} - 1}{\sqrt{2 \, \sqrt{5} - 2}}\right) + \frac{1}{25} \, \sqrt{50 \, \sqrt{5} - 110} \arctan\left(\frac{\sqrt{x}}{\sqrt{\frac{1}{2} \, \sqrt{5} - \frac{1}{2}}}\right) - \frac{1}{50} \, \sqrt{50 \, \sqrt{5} + 110} \log\left(\sqrt{x} + \sqrt{\frac{1}{2} \, \sqrt{5} + \frac{1}{2}}\right) - \frac{1}{5} \, \sqrt{\frac{1}{2} \, \sqrt{5} + \frac{11}{10}} \log\left({\left| -520 \, x - 78 \, \sqrt{5} \sqrt{50 \, \sqrt{5} + 110} + 260 \, \sqrt{5} + 520 \, \sqrt{x^{2} - 1} + 130 \, \sqrt{50 \, \sqrt{5} + 110} + 260 \right|}\right) + \frac{1}{5} \, \sqrt{\frac{1}{2} \, \sqrt{5} + \frac{11}{10}} \log\left({\left| -1040 \, x + 156 \, \sqrt{5} \sqrt{50 \, \sqrt{5} + 110} + 520 \, \sqrt{5} + 1040 \, \sqrt{x^{2} - 1} - 260 \, \sqrt{50 \, \sqrt{5} + 110} + 520 \right|}\right) + \frac{1}{50} \, \sqrt{50 \, \sqrt{5} + 110} \log\left({\left| \sqrt{x} - \sqrt{\frac{1}{2} \, \sqrt{5} + \frac{1}{2}} \right|}\right) + \frac{4 \, {\left({\left(x - \sqrt{x^{2} - 1}\right)}^{3} + 2 \, {\left(x - \sqrt{x^{2} - 1}\right)}^{2} + 3 \, x - 3 \, \sqrt{x^{2} - 1} - 2\right)}}{5 \, {\left({\left(x - \sqrt{x^{2} - 1}\right)}^{4} - 2 \, {\left(x - \sqrt{x^{2} - 1}\right)}^{3} - 2 \, {\left(x - \sqrt{x^{2} - 1}\right)}^{2} - 2 \, x + 2 \, \sqrt{x^{2} - 1} + 1\right)}} + \frac{2 \, {\left(2 \, x^{\frac{3}{2}} - \sqrt{x}\right)}}{5 \, {\left(x^{2} - x - 1\right)}}"," ",0,"2/5*sqrt(1/2*sqrt(5) - 11/10)*arctan((2*x + sqrt(5) - 2*sqrt(x^2 - 1) - 1)/sqrt(2*sqrt(5) - 2)) + 1/25*sqrt(50*sqrt(5) - 110)*arctan(sqrt(x)/sqrt(1/2*sqrt(5) - 1/2)) - 1/50*sqrt(50*sqrt(5) + 110)*log(sqrt(x) + sqrt(1/2*sqrt(5) + 1/2)) - 1/5*sqrt(1/2*sqrt(5) + 11/10)*log(abs(-520*x - 78*sqrt(5)*sqrt(50*sqrt(5) + 110) + 260*sqrt(5) + 520*sqrt(x^2 - 1) + 130*sqrt(50*sqrt(5) + 110) + 260)) + 1/5*sqrt(1/2*sqrt(5) + 11/10)*log(abs(-1040*x + 156*sqrt(5)*sqrt(50*sqrt(5) + 110) + 520*sqrt(5) + 1040*sqrt(x^2 - 1) - 260*sqrt(50*sqrt(5) + 110) + 520)) + 1/50*sqrt(50*sqrt(5) + 110)*log(abs(sqrt(x) - sqrt(1/2*sqrt(5) + 1/2))) + 4/5*((x - sqrt(x^2 - 1))^3 + 2*(x - sqrt(x^2 - 1))^2 + 3*x - 3*sqrt(x^2 - 1) - 2)/((x - sqrt(x^2 - 1))^4 - 2*(x - sqrt(x^2 - 1))^3 - 2*(x - sqrt(x^2 - 1))^2 - 2*x + 2*sqrt(x^2 - 1) + 1) + 2/5*(2*x^(3/2) - sqrt(x))/(x^2 - x - 1)","B",0
11,-2,0,0,0.000000," ","integrate(1/2/(1+x)^2*2^(1/2)/(-I+x^2)^(1/2)+1/2/(1+x)^2*2^(1/2)/(I+x^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged."int(sage0,x)  Error: Bad Argument Value"","F(-2)",0
12,0,0,0,0.000000," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(1+x)^2/(x^4+1)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\sqrt{x^{4} + 1} {\left(x + 1\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))/(sqrt(x^4 + 1)*(x + 1)^2), x)","F",0
13,0,0,0,0.000000," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(1+x)/(x^4+1)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\sqrt{x^{4} + 1} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))/(sqrt(x^4 + 1)*(x + 1)), x)","F",0
14,0,0,0,0.000000," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{x^{2} + \sqrt{x^{4} + 1}}}{\sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(sqrt(x^2 + sqrt(x^4 + 1))/sqrt(x^4 + 1), x)","F",0
15,0,0,0,0.000000," ","integrate((-x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{-x^{2} + \sqrt{x^{4} + 1}}}{\sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(sqrt(-x^2 + sqrt(x^4 + 1))/sqrt(x^4 + 1), x)","F",0
16,1,15,0,1.147386," ","integrate(((-1+x)^(3/2)+(1+x)^(3/2))/(-1+x)^(3/2)/(1+x)^(3/2),x, algorithm=""giac"")","-\frac{2}{\sqrt{x + 1}} - \frac{2}{\sqrt{x - 1}}"," ",0,"-2/sqrt(x + 1) - 2/sqrt(x - 1)","A",0
17,0,0,0,0.000000," ","integrate((x+(x^2+a)^(1/2))^b,x, algorithm=""giac"")","\int {\left(x + \sqrt{x^{2} + a}\right)}^{b}\,{d x}"," ",0,"integrate((x + sqrt(x^2 + a))^b, x)","F",0
18,0,0,0,0.000000," ","integrate((x-(x^2+a)^(1/2))^b,x, algorithm=""giac"")","\int {\left(x - \sqrt{x^{2} + a}\right)}^{b}\,{d x}"," ",0,"integrate((x - sqrt(x^2 + a))^b, x)","F",0
19,0,0,0,0.000000," ","integrate((x+(x^2+a)^(1/2))^b/(x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(x + \sqrt{x^{2} + a}\right)}^{b}}{\sqrt{x^{2} + a}}\,{d x}"," ",0,"integrate((x + sqrt(x^2 + a))^b/sqrt(x^2 + a), x)","F",0
20,0,0,0,0.000000," ","integrate((x-(x^2+a)^(1/2))^b/(x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(x - \sqrt{x^{2} + a}\right)}^{b}}{\sqrt{x^{2} + a}}\,{d x}"," ",0,"integrate((x - sqrt(x^2 + a))^b/sqrt(x^2 + a), x)","F",0
21,1,47,0,0.985768," ","integrate(1/(a+b*exp(p*x))^2,x, algorithm=""giac"")","\frac{b {\left(\frac{\log\left({\left| -\frac{a}{b e^{\left(p x\right)} + a} + 1 \right|}\right)}{a^{2} b} + \frac{1}{{\left(b e^{\left(p x\right)} + a\right)} a b}\right)}}{p}"," ",0,"b*(log(abs(-a/(b*e^(p*x) + a) + 1))/(a^2*b) + 1/((b*e^(p*x) + a)*a*b))/p","A",0
22,1,19,0,0.775980," ","integrate(1/(b/exp(p*x)+a*exp(p*x))^2,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(a e^{\left(2 \, p x\right)} + b\right)} a p}"," ",0,"-1/2/((a*e^(2*p*x) + b)*a*p)","A",0
23,1,74,0,1.211233," ","integrate(x/(b/exp(p*x)+a*exp(p*x))^2,x, algorithm=""giac"")","\frac{2 \, a p x e^{\left(2 \, p x\right)} - a e^{\left(2 \, p x\right)} \log\left(-a e^{\left(2 \, p x\right)} - b\right) - b \log\left(-a e^{\left(2 \, p x\right)} - b\right)}{4 \, {\left(a^{2} b p^{2} e^{\left(2 \, p x\right)} + a b^{2} p^{2}\right)}}"," ",0,"1/4*(2*a*p*x*e^(2*p*x) - a*e^(2*p*x)*log(-a*e^(2*p*x) - b) - b*log(-a*e^(2*p*x) - b))/(a^2*b*p^2*e^(2*p*x) + a*b^2*p^2)","A",0
24,1,304,0,1.060992," ","integrate((3*x^2-x+1)/(x^2+x+1)^2/(x^2-x+1)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{6} \sqrt{3} \arctan\left(-\frac{2 \, x + \sqrt{6} - 2 \, \sqrt{x^{2} - x + 1} + 1}{\sqrt{3} + \sqrt{2}}\right) + \frac{1}{3} \, \sqrt{6} \sqrt{3} \arctan\left(-\frac{2 \, x - \sqrt{6} - 2 \, \sqrt{x^{2} - x + 1} + 1}{\sqrt{3} - \sqrt{2}}\right) + \frac{1}{12} \, \sqrt{6} \log\left(4 \, {\left(\sqrt{6} \sqrt{3} + 3 \, \sqrt{3}\right)}^{2} + 36 \, {\left(2 \, x + \sqrt{6} - 2 \, \sqrt{x^{2} - x + 1} + 1\right)}^{2}\right) - \frac{1}{12} \, \sqrt{6} \log\left(4 \, {\left(\sqrt{6} \sqrt{3} - 3 \, \sqrt{3}\right)}^{2} + 36 \, {\left(2 \, x - \sqrt{6} - 2 \, \sqrt{x^{2} - x + 1} + 1\right)}^{2}\right) + \frac{{\left(x - \sqrt{x^{2} - x + 1}\right)}^{3} + 4 \, {\left(x - \sqrt{x^{2} - x + 1}\right)}^{2} - 10 \, x + 10 \, \sqrt{x^{2} - x + 1} + 5}{{\left(x - \sqrt{x^{2} - x + 1}\right)}^{4} + 2 \, {\left(x - \sqrt{x^{2} - x + 1}\right)}^{3} + {\left(x - \sqrt{x^{2} - x + 1}\right)}^{2} - 6 \, x + 6 \, \sqrt{x^{2} - x + 1} + 3}"," ",0,"-1/3*sqrt(6)*sqrt(3)*arctan(-(2*x + sqrt(6) - 2*sqrt(x^2 - x + 1) + 1)/(sqrt(3) + sqrt(2))) + 1/3*sqrt(6)*sqrt(3)*arctan(-(2*x - sqrt(6) - 2*sqrt(x^2 - x + 1) + 1)/(sqrt(3) - sqrt(2))) + 1/12*sqrt(6)*log(4*(sqrt(6)*sqrt(3) + 3*sqrt(3))^2 + 36*(2*x + sqrt(6) - 2*sqrt(x^2 - x + 1) + 1)^2) - 1/12*sqrt(6)*log(4*(sqrt(6)*sqrt(3) - 3*sqrt(3))^2 + 36*(2*x - sqrt(6) - 2*sqrt(x^2 - x + 1) + 1)^2) + ((x - sqrt(x^2 - x + 1))^3 + 4*(x - sqrt(x^2 - x + 1))^2 - 10*x + 10*sqrt(x^2 - x + 1) + 5)/((x - sqrt(x^2 - x + 1))^4 + 2*(x - sqrt(x^2 - x + 1))^3 + (x - sqrt(x^2 - x + 1))^2 - 6*x + 6*sqrt(x^2 - x + 1) + 3)","B",0
25,1,15,0,0.787262," ","integrate((x+(a^2+x^2)^(1/2))^(1/2)/(a^2+x^2)^(1/2),x, algorithm=""giac"")","2 \, \sqrt{x + \sqrt{a^{2} + x^{2}}}"," ",0,"2*sqrt(x + sqrt(a^2 + x^2))","A",0
26,1,22,0,0.983787," ","integrate((b*x+(b^2*x^2+a)^(1/2))^(1/2)/(b^2*x^2+a)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + \sqrt{b^{2} x^{2} + a}}}{b}"," ",0,"2*sqrt(b*x + sqrt(b^2*x^2 + a))/b","A",0
27,0,0,0,0.000000," ","integrate(1/x/(a^2+x^2)^(1/2)/(x+(a^2+x^2)^(1/2))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{a^{2} + x^{2}} \sqrt{x + \sqrt{a^{2} + x^{2}}} x}\,{d x}"," ",0,"integrate(1/(sqrt(a^2 + x^2)*sqrt(x + sqrt(a^2 + x^2))*x), x)","F",0
28,0,0,0,0.000000," ","integrate((x+(a^2+x^2)^(1/2))^(1/2)/x,x, algorithm=""giac"")","\int \frac{\sqrt{x + \sqrt{a^{2} + x^{2}}}}{x}\,{d x}"," ",0,"integrate(sqrt(x + sqrt(a^2 + x^2))/x, x)","F",0
29,0,0,0,0.000000," ","integrate(x^3*log(2+x)^3*log(3+x),x, algorithm=""giac"")","\int x^{3} \log\left(x + 3\right) \log\left(x + 2\right)^{3}\,{d x}"," ",0,"integrate(x^3*log(x + 3)*log(x + 2)^3, x)","F",0
30,0,0,0,0.000000," ","integrate((x+(x^2+b)^(1/2))^a/(x^2+b)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(x + \sqrt{x^{2} + b}\right)}^{a}}{\sqrt{x^{2} + b}}\,{d x}"," ",0,"integrate((x + sqrt(x^2 + b))^a/sqrt(x^2 + b), x)","F",0
31,0,0,0,0.000000," ","integrate((x+(x^2+b)^(1/2))^a,x, algorithm=""giac"")","\int {\left(x + \sqrt{x^{2} + b}\right)}^{a}\,{d x}"," ",0,"integrate((x + sqrt(x^2 + b))^a, x)","F",0
32,0,0,0,0.000000," ","integrate((6+3*x^a+2*x^(2*a))^(1/a)*(x^a+x^(2*a)+x^(3*a)),x, algorithm=""giac"")","\int {\left(2 \, x^{2 \, a} + 3 \, x^{a} + 6\right)}^{\left(\frac{1}{a}\right)} {\left(x^{3 \, a} + x^{2 \, a} + x^{a}\right)}\,{d x}"," ",0,"integrate((2*x^(2*a) + 3*x^a + 6)^(1/a)*(x^(3*a) + x^(2*a) + x^a), x)","F",0
33,1,64,0,0.916012," ","integrate(1/x/(-x^2+1)^(1/3),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(-x^{2} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{1}{4} \, \log\left({\left(-x^{2} + 1\right)}^{\frac{2}{3}} + {\left(-x^{2} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{2} \, \log\left(-{\left(-x^{2} + 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"1/2*sqrt(3)*arctan(1/3*sqrt(3)*(2*(-x^2 + 1)^(1/3) + 1)) - 1/4*log((-x^2 + 1)^(2/3) + (-x^2 + 1)^(1/3) + 1) + 1/2*log(-(-x^2 + 1)^(1/3) + 1)","A",0
34,1,64,0,1.090928," ","integrate(1/x/(-x^2+1)^(2/3),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(-x^{2} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{1}{4} \, \log\left({\left(-x^{2} + 1\right)}^{\frac{2}{3}} + {\left(-x^{2} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{2} \, \log\left(-{\left(-x^{2} + 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"-1/2*sqrt(3)*arctan(1/3*sqrt(3)*(2*(-x^2 + 1)^(1/3) + 1)) - 1/4*log((-x^2 + 1)^(2/3) + (-x^2 + 1)^(1/3) + 1) + 1/2*log(-(-x^2 + 1)^(1/3) + 1)","A",0
35,0,0,0,0.000000," ","integrate(1/(-x^3+1)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(-x^{3} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((-x^3 + 1)^(-1/3), x)","F",0
36,1,63,0,0.824350," ","integrate(1/x/(-x^3+1)^(1/3),x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) - \frac{1}{6} \, \log\left({\left(-x^{3} + 1\right)}^{\frac{2}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{3} \, \log\left({\left| {\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 1 \right|}\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(-x^3 + 1)^(1/3) + 1)) - 1/6*log((-x^3 + 1)^(2/3) + (-x^3 + 1)^(1/3) + 1) + 1/3*log(abs((-x^3 + 1)^(1/3) - 1))","A",0
37,0,0,0,0.000000," ","integrate(1/(1+x)/(-x^3+1)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/((-x^3 + 1)^(1/3)*(x + 1)), x)","F",0
38,0,0,0,0.000000," ","integrate(x/(1+x)/(-x^3+1)^(1/3),x, algorithm=""giac"")","\int \frac{x}{{\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(x/((-x^3 + 1)^(1/3)*(x + 1)), x)","F",0
39,0,0,0,0.000000," ","integrate(1/x/(x^2-3*x+2)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(x^{2} - 3 \, x + 2\right)}^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate(1/((x^2 - 3*x + 2)^(1/3)*x), x)","F",0
40,0,0,0,0.000000," ","integrate(1/(x^3-3*x^2+7*x-5)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(x^{3} - 3 \, x^{2} + 7 \, x - 5\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x^3 - 3*x^2 + 7*x - 5)^(-1/3), x)","F",0
41,1,67,0,1.049204," ","integrate(1/(x*(x^2-q))^(1/3),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(-\frac{q}{x^{2}} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) + \frac{1}{4} \, \log\left({\left(-\frac{q}{x^{2}} + 1\right)}^{\frac{2}{3}} + {\left(-\frac{q}{x^{2}} + 1\right)}^{\frac{1}{3}} + 1\right) - \frac{1}{2} \, \log\left({\left| {\left(-\frac{q}{x^{2}} + 1\right)}^{\frac{1}{3}} - 1 \right|}\right)"," ",0,"-1/2*sqrt(3)*arctan(1/3*sqrt(3)*(2*(-q/x^2 + 1)^(1/3) + 1)) + 1/4*log((-q/x^2 + 1)^(2/3) + (-q/x^2 + 1)^(1/3) + 1) - 1/2*log(abs((-q/x^2 + 1)^(1/3) - 1))","A",0
42,0,0,0,0.000000," ","integrate(1/((-1+x)*(x^2+q-2*x))^(1/3),x, algorithm=""giac"")","\int \frac{1}{\left({\left(x^{2} + q - 2 \, x\right)} {\left(x - 1\right)}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(((x^2 + q - 2*x)*(x - 1))^(-1/3), x)","F",0
43,0,0,0,0.000000," ","integrate(1/x/((-1+x)*(-2*q*x+x^2+q))^(1/3),x, algorithm=""giac"")","\int \frac{1}{\left(-{\left(2 \, q x - x^{2} - q\right)} {\left(x - 1\right)}\right)^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate(1/((-(2*q*x - x^2 - q)*(x - 1))^(1/3)*x), x)","F",0
44,0,0,0,0.000000," ","integrate((2-(1+k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(1-(1+k)*x),x, algorithm=""giac"")","\int \frac{{\left(k + 1\right)} x - 2}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{1}{3}} {\left({\left(k + 1\right)} x - 1\right)}}\,{d x}"," ",0,"integrate(((k + 1)*x - 2)/(((k*x - 1)*(x - 1)*x)^(1/3)*((k + 1)*x - 1)), x)","F",0
45,0,0,0,0.000000," ","integrate((-k*x+1)/(1+(-2+k)*x)/((1-x)*x*(-k*x+1))^(2/3),x, algorithm=""giac"")","\int -\frac{k x - 1}{\left({\left(k x - 1\right)} {\left(x - 1\right)} x\right)^{\frac{2}{3}} {\left({\left(k - 2\right)} x + 1\right)}}\,{d x}"," ",0,"integrate(-(k*x - 1)/(((k*x - 1)*(x - 1)*x)^(2/3)*((k - 2)*x + 1)), x)","F",0
46,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(x^2-x+1)/(-x^3+1)^(1/3),x, algorithm=""giac"")","\int \frac{c x^{2} + b x + a}{{\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x^{2} - x + 1\right)}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)/((-x^3 + 1)^(1/3)*(x^2 - x + 1)), x)","F",0
47,1,767,0,2.819416," ","integrate(1/(3-2*x)^(11/2)/(2*x^2+x+1)^5,x, algorithm=""giac"")","-\frac{5}{24179327893504} \, \sqrt{7} {\left(856240 \cdot 14^{\frac{3}{4}} \sqrt{2} {\left(\sqrt{14} + 4\right)}^{\frac{3}{2}} + 2568720 \cdot 14^{\frac{3}{4}} \sqrt{2} \sqrt{\sqrt{14} + 4} {\left(\sqrt{14} - 4\right)} + 183480 \cdot 14^{\frac{3}{4}} \sqrt{7} {\left(\sqrt{14} + 4\right)} \sqrt{-8 \, \sqrt{14} + 32} - 7645 \cdot 14^{\frac{3}{4}} \sqrt{7} {\left(-8 \, \sqrt{14} + 32\right)}^{\frac{3}{2}} + 103702144 \cdot 14^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{14} + 4} + 7407296 \cdot 14^{\frac{1}{4}} \sqrt{7} \sqrt{-8 \, \sqrt{14} + 32}\right)} \arctan\left(\frac{14^{\frac{3}{4}} {\left(14^{\frac{1}{4}} \sqrt{\frac{1}{2}} \sqrt{\sqrt{14} + 4} + 2 \, \sqrt{-2 \, x + 3}\right)}}{28 \, \sqrt{-\frac{1}{8} \, \sqrt{14} + \frac{1}{2}}}\right) - \frac{5}{24179327893504} \, \sqrt{7} {\left(856240 \cdot 14^{\frac{3}{4}} \sqrt{2} {\left(\sqrt{14} + 4\right)}^{\frac{3}{2}} + 2568720 \cdot 14^{\frac{3}{4}} \sqrt{2} \sqrt{\sqrt{14} + 4} {\left(\sqrt{14} - 4\right)} + 183480 \cdot 14^{\frac{3}{4}} \sqrt{7} {\left(\sqrt{14} + 4\right)} \sqrt{-8 \, \sqrt{14} + 32} - 7645 \cdot 14^{\frac{3}{4}} \sqrt{7} {\left(-8 \, \sqrt{14} + 32\right)}^{\frac{3}{2}} + 103702144 \cdot 14^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{14} + 4} + 7407296 \cdot 14^{\frac{1}{4}} \sqrt{7} \sqrt{-8 \, \sqrt{14} + 32}\right)} \arctan\left(-\frac{14^{\frac{3}{4}} {\left(14^{\frac{1}{4}} \sqrt{\frac{1}{2}} \sqrt{\sqrt{14} + 4} - 2 \, \sqrt{-2 \, x + 3}\right)}}{28 \, \sqrt{-\frac{1}{8} \, \sqrt{14} + \frac{1}{2}}}\right) - \frac{5}{48358655787008} \, \sqrt{7} {\left(122320 \cdot 14^{\frac{3}{4}} \sqrt{7} \sqrt{2} {\left(\sqrt{14} + 4\right)}^{\frac{3}{2}} + 366960 \cdot 14^{\frac{3}{4}} \sqrt{7} \sqrt{2} \sqrt{\sqrt{14} + 4} {\left(\sqrt{14} - 4\right)} - 1284360 \cdot 14^{\frac{3}{4}} {\left(\sqrt{14} + 4\right)} \sqrt{-8 \, \sqrt{14} + 32} + 53515 \cdot 14^{\frac{3}{4}} {\left(-8 \, \sqrt{14} + 32\right)}^{\frac{3}{2}} + 14814592 \cdot 14^{\frac{1}{4}} \sqrt{7} \sqrt{2} \sqrt{\sqrt{14} + 4} - 51851072 \cdot 14^{\frac{1}{4}} \sqrt{-8 \, \sqrt{14} + 32}\right)} \log\left(14^{\frac{1}{4}} \sqrt{\frac{1}{2}} \sqrt{-2 \, x + 3} \sqrt{\sqrt{14} + 4} - 2 \, x + \sqrt{14} + 3\right) + \frac{5}{48358655787008} \, \sqrt{7} {\left(122320 \cdot 14^{\frac{3}{4}} \sqrt{7} \sqrt{2} {\left(\sqrt{14} + 4\right)}^{\frac{3}{2}} + 366960 \cdot 14^{\frac{3}{4}} \sqrt{7} \sqrt{2} \sqrt{\sqrt{14} + 4} {\left(\sqrt{14} - 4\right)} - 1284360 \cdot 14^{\frac{3}{4}} {\left(\sqrt{14} + 4\right)} \sqrt{-8 \, \sqrt{14} + 32} + 53515 \cdot 14^{\frac{3}{4}} {\left(-8 \, \sqrt{14} + 32\right)}^{\frac{3}{2}} + 14814592 \cdot 14^{\frac{1}{4}} \sqrt{7} \sqrt{2} \sqrt{\sqrt{14} + 4} - 51851072 \cdot 14^{\frac{1}{4}} \sqrt{-8 \, \sqrt{14} + 32}\right)} \log\left(-14^{\frac{1}{4}} \sqrt{\frac{1}{2}} \sqrt{-2 \, x + 3} \sqrt{\sqrt{14} + 4} - 2 \, x + \sqrt{14} + 3\right) + \frac{1578405 \, {\left(2 \, x - 3\right)}^{7} \sqrt{-2 \, x + 3} + 37939930 \, {\left(2 \, x - 3\right)}^{6} \sqrt{-2 \, x + 3} + 400127266 \, {\left(2 \, x - 3\right)}^{5} \sqrt{-2 \, x + 3} + 2394090608 \, {\left(2 \, x - 3\right)}^{4} \sqrt{-2 \, x + 3} + 8763772549 \, {\left(2 \, x - 3\right)}^{3} \sqrt{-2 \, x + 3} + 19602865030 \, {\left(2 \, x - 3\right)}^{2} \sqrt{-2 \, x + 3} - 24778425644 \, {\left(-2 \, x + 3\right)}^{\frac{3}{2}} + 13623638952 \, \sqrt{-2 \, x + 3}}{5059848192 \, {\left({\left(2 \, x - 3\right)}^{2} + 14 \, x - 7\right)}^{4}} + \frac{9090 \, {\left(2 \, x - 3\right)}^{4} - 3885 \, {\left(2 \, x - 3\right)}^{3} + 2394 \, {\left(2 \, x - 3\right)}^{2} - 2520 \, x + 4172}{59295096 \, {\left(2 \, x - 3\right)}^{4} \sqrt{-2 \, x + 3}}"," ",0,"-5/24179327893504*sqrt(7)*(856240*14^(3/4)*sqrt(2)*(sqrt(14) + 4)^(3/2) + 2568720*14^(3/4)*sqrt(2)*sqrt(sqrt(14) + 4)*(sqrt(14) - 4) + 183480*14^(3/4)*sqrt(7)*(sqrt(14) + 4)*sqrt(-8*sqrt(14) + 32) - 7645*14^(3/4)*sqrt(7)*(-8*sqrt(14) + 32)^(3/2) + 103702144*14^(1/4)*sqrt(2)*sqrt(sqrt(14) + 4) + 7407296*14^(1/4)*sqrt(7)*sqrt(-8*sqrt(14) + 32))*arctan(1/28*14^(3/4)*(14^(1/4)*sqrt(1/2)*sqrt(sqrt(14) + 4) + 2*sqrt(-2*x + 3))/sqrt(-1/8*sqrt(14) + 1/2)) - 5/24179327893504*sqrt(7)*(856240*14^(3/4)*sqrt(2)*(sqrt(14) + 4)^(3/2) + 2568720*14^(3/4)*sqrt(2)*sqrt(sqrt(14) + 4)*(sqrt(14) - 4) + 183480*14^(3/4)*sqrt(7)*(sqrt(14) + 4)*sqrt(-8*sqrt(14) + 32) - 7645*14^(3/4)*sqrt(7)*(-8*sqrt(14) + 32)^(3/2) + 103702144*14^(1/4)*sqrt(2)*sqrt(sqrt(14) + 4) + 7407296*14^(1/4)*sqrt(7)*sqrt(-8*sqrt(14) + 32))*arctan(-1/28*14^(3/4)*(14^(1/4)*sqrt(1/2)*sqrt(sqrt(14) + 4) - 2*sqrt(-2*x + 3))/sqrt(-1/8*sqrt(14) + 1/2)) - 5/48358655787008*sqrt(7)*(122320*14^(3/4)*sqrt(7)*sqrt(2)*(sqrt(14) + 4)^(3/2) + 366960*14^(3/4)*sqrt(7)*sqrt(2)*sqrt(sqrt(14) + 4)*(sqrt(14) - 4) - 1284360*14^(3/4)*(sqrt(14) + 4)*sqrt(-8*sqrt(14) + 32) + 53515*14^(3/4)*(-8*sqrt(14) + 32)^(3/2) + 14814592*14^(1/4)*sqrt(7)*sqrt(2)*sqrt(sqrt(14) + 4) - 51851072*14^(1/4)*sqrt(-8*sqrt(14) + 32))*log(14^(1/4)*sqrt(1/2)*sqrt(-2*x + 3)*sqrt(sqrt(14) + 4) - 2*x + sqrt(14) + 3) + 5/48358655787008*sqrt(7)*(122320*14^(3/4)*sqrt(7)*sqrt(2)*(sqrt(14) + 4)^(3/2) + 366960*14^(3/4)*sqrt(7)*sqrt(2)*sqrt(sqrt(14) + 4)*(sqrt(14) - 4) - 1284360*14^(3/4)*(sqrt(14) + 4)*sqrt(-8*sqrt(14) + 32) + 53515*14^(3/4)*(-8*sqrt(14) + 32)^(3/2) + 14814592*14^(1/4)*sqrt(7)*sqrt(2)*sqrt(sqrt(14) + 4) - 51851072*14^(1/4)*sqrt(-8*sqrt(14) + 32))*log(-14^(1/4)*sqrt(1/2)*sqrt(-2*x + 3)*sqrt(sqrt(14) + 4) - 2*x + sqrt(14) + 3) + 1/5059848192*(1578405*(2*x - 3)^7*sqrt(-2*x + 3) + 37939930*(2*x - 3)^6*sqrt(-2*x + 3) + 400127266*(2*x - 3)^5*sqrt(-2*x + 3) + 2394090608*(2*x - 3)^4*sqrt(-2*x + 3) + 8763772549*(2*x - 3)^3*sqrt(-2*x + 3) + 19602865030*(2*x - 3)^2*sqrt(-2*x + 3) - 24778425644*(-2*x + 3)^(3/2) + 13623638952*sqrt(-2*x + 3))/((2*x - 3)^2 + 14*x - 7)^4 + 1/59295096*(9090*(2*x - 3)^4 - 3885*(2*x - 3)^3 + 2394*(2*x - 3)^2 - 2520*x + 4172)/((2*x - 3)^4*sqrt(-2*x + 3))","B",0
48,1,972,0,4.185831," ","integrate(1/(3-2*x)^(21/2)/(2*x^2+x+1)^10,x, algorithm=""giac"")","\frac{11275}{2283749599146799148302336} \, \sqrt{7} {\left(240680481328 \cdot 14^{\frac{3}{4}} \sqrt{2} {\left(\sqrt{14} + 4\right)}^{\frac{3}{2}} + 722041443984 \cdot 14^{\frac{3}{4}} \sqrt{2} \sqrt{\sqrt{14} + 4} {\left(\sqrt{14} - 4\right)} - 51574388856 \cdot 14^{\frac{3}{4}} \sqrt{7} {\left(\sqrt{14} + 4\right)} \sqrt{-8 \, \sqrt{14} + 32} + 2148932869 \cdot 14^{\frac{3}{4}} \sqrt{7} {\left(-8 \, \sqrt{14} + 32\right)}^{\frac{3}{2}} + 8741903954560 \cdot 14^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{14} + 4} - 624421711040 \cdot 14^{\frac{1}{4}} \sqrt{7} \sqrt{-8 \, \sqrt{14} + 32}\right)} \arctan\left(\frac{14^{\frac{3}{4}} {\left(14^{\frac{1}{4}} \sqrt{\frac{1}{2}} \sqrt{\sqrt{14} + 4} + 2 \, \sqrt{-2 \, x + 3}\right)}}{28 \, \sqrt{-\frac{1}{8} \, \sqrt{14} + \frac{1}{2}}}\right) + \frac{11275}{2283749599146799148302336} \, \sqrt{7} {\left(240680481328 \cdot 14^{\frac{3}{4}} \sqrt{2} {\left(\sqrt{14} + 4\right)}^{\frac{3}{2}} + 722041443984 \cdot 14^{\frac{3}{4}} \sqrt{2} \sqrt{\sqrt{14} + 4} {\left(\sqrt{14} - 4\right)} - 51574388856 \cdot 14^{\frac{3}{4}} \sqrt{7} {\left(\sqrt{14} + 4\right)} \sqrt{-8 \, \sqrt{14} + 32} + 2148932869 \cdot 14^{\frac{3}{4}} \sqrt{7} {\left(-8 \, \sqrt{14} + 32\right)}^{\frac{3}{2}} + 8741903954560 \cdot 14^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{14} + 4} - 624421711040 \cdot 14^{\frac{1}{4}} \sqrt{7} \sqrt{-8 \, \sqrt{14} + 32}\right)} \arctan\left(-\frac{14^{\frac{3}{4}} {\left(14^{\frac{1}{4}} \sqrt{\frac{1}{2}} \sqrt{\sqrt{14} + 4} - 2 \, \sqrt{-2 \, x + 3}\right)}}{28 \, \sqrt{-\frac{1}{8} \, \sqrt{14} + \frac{1}{2}}}\right) - \frac{11275}{4567499198293598296604672} \, \sqrt{7} {\left(34382925904 \cdot 14^{\frac{3}{4}} \sqrt{7} \sqrt{2} {\left(\sqrt{14} + 4\right)}^{\frac{3}{2}} + 103148777712 \cdot 14^{\frac{3}{4}} \sqrt{7} \sqrt{2} \sqrt{\sqrt{14} + 4} {\left(\sqrt{14} - 4\right)} + 361020721992 \cdot 14^{\frac{3}{4}} {\left(\sqrt{14} + 4\right)} \sqrt{-8 \, \sqrt{14} + 32} - 15042530083 \cdot 14^{\frac{3}{4}} {\left(-8 \, \sqrt{14} + 32\right)}^{\frac{3}{2}} + 1248843422080 \cdot 14^{\frac{1}{4}} \sqrt{7} \sqrt{2} \sqrt{\sqrt{14} + 4} + 4370951977280 \cdot 14^{\frac{1}{4}} \sqrt{-8 \, \sqrt{14} + 32}\right)} \log\left(14^{\frac{1}{4}} \sqrt{\frac{1}{2}} \sqrt{-2 \, x + 3} \sqrt{\sqrt{14} + 4} - 2 \, x + \sqrt{14} + 3\right) + \frac{11275}{4567499198293598296604672} \, \sqrt{7} {\left(34382925904 \cdot 14^{\frac{3}{4}} \sqrt{7} \sqrt{2} {\left(\sqrt{14} + 4\right)}^{\frac{3}{2}} + 103148777712 \cdot 14^{\frac{3}{4}} \sqrt{7} \sqrt{2} \sqrt{\sqrt{14} + 4} {\left(\sqrt{14} - 4\right)} + 361020721992 \cdot 14^{\frac{3}{4}} {\left(\sqrt{14} + 4\right)} \sqrt{-8 \, \sqrt{14} + 32} - 15042530083 \cdot 14^{\frac{3}{4}} {\left(-8 \, \sqrt{14} + 32\right)}^{\frac{3}{2}} + 1248843422080 \cdot 14^{\frac{1}{4}} \sqrt{7} \sqrt{2} \sqrt{\sqrt{14} + 4} + 4370951977280 \cdot 14^{\frac{1}{4}} \sqrt{-8 \, \sqrt{14} + 32}\right)} \log\left(-14^{\frac{1}{4}} \sqrt{\frac{1}{2}} \sqrt{-2 \, x + 3} \sqrt{\sqrt{14} + 4} - 2 \, x + \sqrt{14} + 3\right) + \frac{232787883652335 \, {\left(2 \, x - 3\right)}^{17} \sqrt{-2 \, x + 3} + 13820106668010555 \, {\left(2 \, x - 3\right)}^{16} \sqrt{-2 \, x + 3} + 389618236717151904 \, {\left(2 \, x - 3\right)}^{15} \sqrt{-2 \, x + 3} + 6925854690067471092 \, {\left(2 \, x - 3\right)}^{14} \sqrt{-2 \, x + 3} + 86924717622268515682 \, {\left(2 \, x - 3\right)}^{13} \sqrt{-2 \, x + 3} + 817308030405306394458 \, {\left(2 \, x - 3\right)}^{12} \sqrt{-2 \, x + 3} + 5960699611609964201316 \, {\left(2 \, x - 3\right)}^{11} \sqrt{-2 \, x + 3} + 34438539253455396724476 \, {\left(2 \, x - 3\right)}^{10} \sqrt{-2 \, x + 3} + 159569809573892673649239 \, {\left(2 \, x - 3\right)}^{9} \sqrt{-2 \, x + 3} + 596312099501239401271299 \, {\left(2 \, x - 3\right)}^{8} \sqrt{-2 \, x + 3} + 1797250621001927736488676 \, {\left(2 \, x - 3\right)}^{7} \sqrt{-2 \, x + 3} + 4343978582610098069631672 \, {\left(2 \, x - 3\right)}^{6} \sqrt{-2 \, x + 3} + 8317212692450176764092592 \, {\left(2 \, x - 3\right)}^{5} \sqrt{-2 \, x + 3} + 12350951282904546626644288 \, {\left(2 \, x - 3\right)}^{4} \sqrt{-2 \, x + 3} + 13738697725192288735303872 \, {\left(2 \, x - 3\right)}^{3} \sqrt{-2 \, x + 3} + 10788479661863702869789824 \, {\left(2 \, x - 3\right)}^{2} \sqrt{-2 \, x + 3} - 5340653236079401357791744 \, {\left(-2 \, x + 3\right)}^{\frac{3}{2}} + 1255138952440667471476992 \, \sqrt{-2 \, x + 3}}{204816509808685350912 \, {\left({\left(2 \, x - 3\right)}^{2} + 14 \, x - 7\right)}^{9}} + \frac{235862511885 \, {\left(2 \, x - 3\right)}^{9} - 107316677325 \, {\left(2 \, x - 3\right)}^{8} + 80348352084 \, {\left(2 \, x - 3\right)}^{7} - 64554208290 \, {\left(2 \, x - 3\right)}^{6} + 49954696792 \, {\left(2 \, x - 3\right)}^{5} - 35035280280 \, {\left(2 \, x - 3\right)}^{4} + 21058773120 \, {\left(2 \, x - 3\right)}^{3} - 10093321056 \, {\left(2 \, x - 3\right)}^{2} + 6831901440 \, x - 10859127552}{3280733202692679552 \, {\left(2 \, x - 3\right)}^{9} \sqrt{-2 \, x + 3}}"," ",0,"11275/2283749599146799148302336*sqrt(7)*(240680481328*14^(3/4)*sqrt(2)*(sqrt(14) + 4)^(3/2) + 722041443984*14^(3/4)*sqrt(2)*sqrt(sqrt(14) + 4)*(sqrt(14) - 4) - 51574388856*14^(3/4)*sqrt(7)*(sqrt(14) + 4)*sqrt(-8*sqrt(14) + 32) + 2148932869*14^(3/4)*sqrt(7)*(-8*sqrt(14) + 32)^(3/2) + 8741903954560*14^(1/4)*sqrt(2)*sqrt(sqrt(14) + 4) - 624421711040*14^(1/4)*sqrt(7)*sqrt(-8*sqrt(14) + 32))*arctan(1/28*14^(3/4)*(14^(1/4)*sqrt(1/2)*sqrt(sqrt(14) + 4) + 2*sqrt(-2*x + 3))/sqrt(-1/8*sqrt(14) + 1/2)) + 11275/2283749599146799148302336*sqrt(7)*(240680481328*14^(3/4)*sqrt(2)*(sqrt(14) + 4)^(3/2) + 722041443984*14^(3/4)*sqrt(2)*sqrt(sqrt(14) + 4)*(sqrt(14) - 4) - 51574388856*14^(3/4)*sqrt(7)*(sqrt(14) + 4)*sqrt(-8*sqrt(14) + 32) + 2148932869*14^(3/4)*sqrt(7)*(-8*sqrt(14) + 32)^(3/2) + 8741903954560*14^(1/4)*sqrt(2)*sqrt(sqrt(14) + 4) - 624421711040*14^(1/4)*sqrt(7)*sqrt(-8*sqrt(14) + 32))*arctan(-1/28*14^(3/4)*(14^(1/4)*sqrt(1/2)*sqrt(sqrt(14) + 4) - 2*sqrt(-2*x + 3))/sqrt(-1/8*sqrt(14) + 1/2)) - 11275/4567499198293598296604672*sqrt(7)*(34382925904*14^(3/4)*sqrt(7)*sqrt(2)*(sqrt(14) + 4)^(3/2) + 103148777712*14^(3/4)*sqrt(7)*sqrt(2)*sqrt(sqrt(14) + 4)*(sqrt(14) - 4) + 361020721992*14^(3/4)*(sqrt(14) + 4)*sqrt(-8*sqrt(14) + 32) - 15042530083*14^(3/4)*(-8*sqrt(14) + 32)^(3/2) + 1248843422080*14^(1/4)*sqrt(7)*sqrt(2)*sqrt(sqrt(14) + 4) + 4370951977280*14^(1/4)*sqrt(-8*sqrt(14) + 32))*log(14^(1/4)*sqrt(1/2)*sqrt(-2*x + 3)*sqrt(sqrt(14) + 4) - 2*x + sqrt(14) + 3) + 11275/4567499198293598296604672*sqrt(7)*(34382925904*14^(3/4)*sqrt(7)*sqrt(2)*(sqrt(14) + 4)^(3/2) + 103148777712*14^(3/4)*sqrt(7)*sqrt(2)*sqrt(sqrt(14) + 4)*(sqrt(14) - 4) + 361020721992*14^(3/4)*(sqrt(14) + 4)*sqrt(-8*sqrt(14) + 32) - 15042530083*14^(3/4)*(-8*sqrt(14) + 32)^(3/2) + 1248843422080*14^(1/4)*sqrt(7)*sqrt(2)*sqrt(sqrt(14) + 4) + 4370951977280*14^(1/4)*sqrt(-8*sqrt(14) + 32))*log(-14^(1/4)*sqrt(1/2)*sqrt(-2*x + 3)*sqrt(sqrt(14) + 4) - 2*x + sqrt(14) + 3) + 1/204816509808685350912*(232787883652335*(2*x - 3)^17*sqrt(-2*x + 3) + 13820106668010555*(2*x - 3)^16*sqrt(-2*x + 3) + 389618236717151904*(2*x - 3)^15*sqrt(-2*x + 3) + 6925854690067471092*(2*x - 3)^14*sqrt(-2*x + 3) + 86924717622268515682*(2*x - 3)^13*sqrt(-2*x + 3) + 817308030405306394458*(2*x - 3)^12*sqrt(-2*x + 3) + 5960699611609964201316*(2*x - 3)^11*sqrt(-2*x + 3) + 34438539253455396724476*(2*x - 3)^10*sqrt(-2*x + 3) + 159569809573892673649239*(2*x - 3)^9*sqrt(-2*x + 3) + 596312099501239401271299*(2*x - 3)^8*sqrt(-2*x + 3) + 1797250621001927736488676*(2*x - 3)^7*sqrt(-2*x + 3) + 4343978582610098069631672*(2*x - 3)^6*sqrt(-2*x + 3) + 8317212692450176764092592*(2*x - 3)^5*sqrt(-2*x + 3) + 12350951282904546626644288*(2*x - 3)^4*sqrt(-2*x + 3) + 13738697725192288735303872*(2*x - 3)^3*sqrt(-2*x + 3) + 10788479661863702869789824*(2*x - 3)^2*sqrt(-2*x + 3) - 5340653236079401357791744*(-2*x + 3)^(3/2) + 1255138952440667471476992*sqrt(-2*x + 3))/((2*x - 3)^2 + 14*x - 7)^9 + 1/3280733202692679552*(235862511885*(2*x - 3)^9 - 107316677325*(2*x - 3)^8 + 80348352084*(2*x - 3)^7 - 64554208290*(2*x - 3)^6 + 49954696792*(2*x - 3)^5 - 35035280280*(2*x - 3)^4 + 21058773120*(2*x - 3)^3 - 10093321056*(2*x - 3)^2 + 6831901440*x - 10859127552)/((2*x - 3)^9*sqrt(-2*x + 3))","A",0
49,1,1382,0,6.839140," ","integrate(1/(3-2*x)^(41/2)/(2*x^2+x+1)^20,x, algorithm=""giac"")","\frac{115}{5820884187057104679865572244942878614409445376} \, \sqrt{7} {\left(902844422048046918046098552144 \cdot 14^{\frac{3}{4}} \sqrt{2} {\left(\sqrt{14} + 4\right)}^{\frac{3}{2}} + 2708533266144140754138295656432 \cdot 14^{\frac{3}{4}} \sqrt{2} \sqrt{\sqrt{14} + 4} {\left(\sqrt{14} - 4\right)} - 193466661867438625295592546888 \cdot 14^{\frac{3}{4}} \sqrt{7} {\left(\sqrt{14} + 4\right)} \sqrt{-8 \, \sqrt{14} + 32} + 8061110911143276053983022787 \cdot 14^{\frac{3}{4}} \sqrt{7} {\left(-8 \, \sqrt{14} + 32\right)}^{\frac{3}{2}} + 27146218545348547209625708982656 \cdot 14^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{14} + 4} - 1939015610382039086401836355904 \cdot 14^{\frac{1}{4}} \sqrt{7} \sqrt{-8 \, \sqrt{14} + 32}\right)} \arctan\left(\frac{14^{\frac{3}{4}} {\left(14^{\frac{1}{4}} \sqrt{\frac{1}{2}} \sqrt{\sqrt{14} + 4} + 2 \, \sqrt{-2 \, x + 3}\right)}}{28 \, \sqrt{-\frac{1}{8} \, \sqrt{14} + \frac{1}{2}}}\right) + \frac{115}{5820884187057104679865572244942878614409445376} \, \sqrt{7} {\left(902844422048046918046098552144 \cdot 14^{\frac{3}{4}} \sqrt{2} {\left(\sqrt{14} + 4\right)}^{\frac{3}{2}} + 2708533266144140754138295656432 \cdot 14^{\frac{3}{4}} \sqrt{2} \sqrt{\sqrt{14} + 4} {\left(\sqrt{14} - 4\right)} - 193466661867438625295592546888 \cdot 14^{\frac{3}{4}} \sqrt{7} {\left(\sqrt{14} + 4\right)} \sqrt{-8 \, \sqrt{14} + 32} + 8061110911143276053983022787 \cdot 14^{\frac{3}{4}} \sqrt{7} {\left(-8 \, \sqrt{14} + 32\right)}^{\frac{3}{2}} + 27146218545348547209625708982656 \cdot 14^{\frac{1}{4}} \sqrt{2} \sqrt{\sqrt{14} + 4} - 1939015610382039086401836355904 \cdot 14^{\frac{1}{4}} \sqrt{7} \sqrt{-8 \, \sqrt{14} + 32}\right)} \arctan\left(-\frac{14^{\frac{3}{4}} {\left(14^{\frac{1}{4}} \sqrt{\frac{1}{2}} \sqrt{\sqrt{14} + 4} - 2 \, \sqrt{-2 \, x + 3}\right)}}{28 \, \sqrt{-\frac{1}{8} \, \sqrt{14} + \frac{1}{2}}}\right) - \frac{115}{11641768374114209359731144489885757228818890752} \, \sqrt{7} {\left(128977774578292416863728364592 \cdot 14^{\frac{3}{4}} \sqrt{7} \sqrt{2} {\left(\sqrt{14} + 4\right)}^{\frac{3}{2}} + 386933323734877250591185093776 \cdot 14^{\frac{3}{4}} \sqrt{7} \sqrt{2} \sqrt{\sqrt{14} + 4} {\left(\sqrt{14} - 4\right)} + 1354266633072070377069147828216 \cdot 14^{\frac{3}{4}} {\left(\sqrt{14} + 4\right)} \sqrt{-8 \, \sqrt{14} + 32} - 56427776378002932377881159509 \cdot 14^{\frac{3}{4}} {\left(-8 \, \sqrt{14} + 32\right)}^{\frac{3}{2}} + 3878031220764078172803672711808 \cdot 14^{\frac{1}{4}} \sqrt{7} \sqrt{2} \sqrt{\sqrt{14} + 4} + 13573109272674273604812854491328 \cdot 14^{\frac{1}{4}} \sqrt{-8 \, \sqrt{14} + 32}\right)} \log\left(14^{\frac{1}{4}} \sqrt{\frac{1}{2}} \sqrt{-2 \, x + 3} \sqrt{\sqrt{14} + 4} - 2 \, x + \sqrt{14} + 3\right) + \frac{115}{11641768374114209359731144489885757228818890752} \, \sqrt{7} {\left(128977774578292416863728364592 \cdot 14^{\frac{3}{4}} \sqrt{7} \sqrt{2} {\left(\sqrt{14} + 4\right)}^{\frac{3}{2}} + 386933323734877250591185093776 \cdot 14^{\frac{3}{4}} \sqrt{7} \sqrt{2} \sqrt{\sqrt{14} + 4} {\left(\sqrt{14} - 4\right)} + 1354266633072070377069147828216 \cdot 14^{\frac{3}{4}} {\left(\sqrt{14} + 4\right)} \sqrt{-8 \, \sqrt{14} + 32} - 56427776378002932377881159509 \cdot 14^{\frac{3}{4}} {\left(-8 \, \sqrt{14} + 32\right)}^{\frac{3}{2}} + 3878031220764078172803672711808 \cdot 14^{\frac{1}{4}} \sqrt{7} \sqrt{2} \sqrt{\sqrt{14} + 4} + 13573109272674273604812854491328 \cdot 14^{\frac{1}{4}} \sqrt{-8 \, \sqrt{14} + 32}\right)} \log\left(-14^{\frac{1}{4}} \sqrt{\frac{1}{2}} \sqrt{-2 \, x + 3} \sqrt{\sqrt{14} + 4} - 2 \, x + \sqrt{14} + 3\right) + \frac{385912796294138623132486146144809805 \, {\left(2 \, x - 3\right)}^{37} \sqrt{-2 \, x + 3} + 49944166626569370884317542782684785215 \, {\left(2 \, x - 3\right)}^{36} \sqrt{-2 \, x + 3} + 3157104325190190818790417015768672100251 \, {\left(2 \, x - 3\right)}^{35} \sqrt{-2 \, x + 3} + 129862663539742829727010168448772257537793 \, {\left(2 \, x - 3\right)}^{34} \sqrt{-2 \, x + 3} + 3907056032933059027385185682832433217956200 \, {\left(2 \, x - 3\right)}^{33} \sqrt{-2 \, x + 3} + 91626342308240062913659469031676941328847688 \, {\left(2 \, x - 3\right)}^{32} \sqrt{-2 \, x + 3} + 1743051839783716654458570168808933730174627004 \, {\left(2 \, x - 3\right)}^{31} \sqrt{-2 \, x + 3} + 27638544507622729125093621837291437830917462708 \, {\left(2 \, x - 3\right)}^{30} \sqrt{-2 \, x + 3} + 372498510070445411629537388290851713705080145718 \, {\left(2 \, x - 3\right)}^{29} \sqrt{-2 \, x + 3} + 4329953516930687342337472014272666363969651587314 \, {\left(2 \, x - 3\right)}^{28} \sqrt{-2 \, x + 3} + 43899444560112308623605331157143896725828415934650 \, {\left(2 \, x - 3\right)}^{27} \sqrt{-2 \, x + 3} + 391609357365773780316151578457972453648367489837454 \, {\left(2 \, x - 3\right)}^{26} \sqrt{-2 \, x + 3} + 3095031701758849575040626937399363198202032753884252 \, {\left(2 \, x - 3\right)}^{25} \sqrt{-2 \, x + 3} + 21790719622224681379416567825910093368668334676797780 \, {\left(2 \, x - 3\right)}^{24} \sqrt{-2 \, x + 3} + 137261402924198725794062163116053277099106968046586092 \, {\left(2 \, x - 3\right)}^{23} \sqrt{-2 \, x + 3} + 776171183055652545384871388553173912691352168500951876 \, {\left(2 \, x - 3\right)}^{22} \sqrt{-2 \, x + 3} + 3950095526376994607880784338655934603802167995433166405 \, {\left(2 \, x - 3\right)}^{21} \sqrt{-2 \, x + 3} + 18125803816832861597832766873339882118924015183338007655 \, {\left(2 \, x - 3\right)}^{20} \sqrt{-2 \, x + 3} + 75083414508694050144426639977685085540038804754309758915 \, {\left(2 \, x - 3\right)}^{19} \sqrt{-2 \, x + 3} + 280932652073348343517776090631271895235611343284275820345 \, {\left(2 \, x - 3\right)}^{18} \sqrt{-2 \, x + 3} + 949449516366891514866641779309597536478490489987954462580 \, {\left(2 \, x - 3\right)}^{17} \sqrt{-2 \, x + 3} + 2896666953760570249650513456393600983703549509654469117900 \, {\left(2 \, x - 3\right)}^{16} \sqrt{-2 \, x + 3} + 7968283692957988567650795129108295704483768260379820818752 \, {\left(2 \, x - 3\right)}^{15} \sqrt{-2 \, x + 3} + 19727494578812277658606009712831861626922226523266435734336 \, {\left(2 \, x - 3\right)}^{14} \sqrt{-2 \, x + 3} + 43844103379423695842480030320760116666491172278035172870400 \, {\left(2 \, x - 3\right)}^{13} \sqrt{-2 \, x + 3} + 87180772449453719112409715850861698835279004734515297162496 \, {\left(2 \, x - 3\right)}^{12} \sqrt{-2 \, x + 3} + 154427451620079851403012035013949923367197814895239131529728 \, {\left(2 \, x - 3\right)}^{11} \sqrt{-2 \, x + 3} + 242351725944359254347670713000225450988365795247877220072960 \, {\left(2 \, x - 3\right)}^{10} \sqrt{-2 \, x + 3} + 334646091432259174045261099248092390902126268663782608549888 \, {\left(2 \, x - 3\right)}^{9} \sqrt{-2 \, x + 3} + 403034519668261986708991686890381317841470126237337802123264 \, {\left(2 \, x - 3\right)}^{8} \sqrt{-2 \, x + 3} + 418646794645473329714896095169087072615863373434634780753920 \, {\left(2 \, x - 3\right)}^{7} \sqrt{-2 \, x + 3} + 369621715112196031007775193340564258755874521674193323966464 \, {\left(2 \, x - 3\right)}^{6} \sqrt{-2 \, x + 3} + 272008032423513780299697431707644217391623176190273099661312 \, {\left(2 \, x - 3\right)}^{5} \sqrt{-2 \, x + 3} + 162377109720555022535973021706211388170650620411678744248320 \, {\left(2 \, x - 3\right)}^{4} \sqrt{-2 \, x + 3} + 75556666748884291766220892297166603376040200755275694800896 \, {\left(2 \, x - 3\right)}^{3} \sqrt{-2 \, x + 3} + 25715217479147156311480451271603595696519278112265697558528 \, {\left(2 \, x - 3\right)}^{2} \sqrt{-2 \, x + 3} - 5695058898488457914056616763522088045930624578769252515840 \, {\left(-2 \, x + 3\right)}^{\frac{3}{2}} + 616047393270423249767303997369406352855404127230297374720 \, \sqrt{-2 \, x + 3}}{24112597431479447071556104988390860001680293888 \, {\left({\left(2 \, x - 3\right)}^{2} + 14 \, x - 7\right)}^{19}} + \frac{991856055479912729664933375 \, {\left(2 \, x - 3\right)}^{19} - 465215115289202563341931875 \, {\left(2 \, x - 3\right)}^{18} + 376870004361848629670138100 \, {\left(2 \, x - 3\right)}^{17} - 347816399209073565143694750 \, {\left(2 \, x - 3\right)}^{16} + 333480450533749292133360000 \, {\left(2 \, x - 3\right)}^{15} - 319778248261094005065228000 \, {\left(2 \, x - 3\right)}^{14} + 300292311231869293365336000 \, {\left(2 \, x - 3\right)}^{13} - 272225522279980529558298000 \, {\left(2 \, x - 3\right)}^{12} + 235508819476507302437712000 \, {\left(2 \, x - 3\right)}^{11} - 192403914635036320216640640 \, {\left(2 \, x - 3\right)}^{10} + 146870291549367152461094400 \, {\left(2 \, x - 3\right)}^{9} - 103544963718981484751251200 \, {\left(2 \, x - 3\right)}^{8} + 66520770217483444975816704 \, {\left(2 \, x - 3\right)}^{7} - 38308222816032989365145600 \, {\left(2 \, x - 3\right)}^{6} + 19364536310461049463275520 \, {\left(2 \, x - 3\right)}^{5} - 8351885944887834417868800 \, {\left(2 \, x - 3\right)}^{4} + 2950396963171184804659200 \, {\left(2 \, x - 3\right)}^{3} - 800398003403553957642240 \, {\left(2 \, x - 3\right)}^{2} + 296499732880545408614400 \, x - 458814330239510651535360}{43768013439874312895399492130064309616640 \, {\left(2 \, x - 3\right)}^{19} \sqrt{-2 \, x + 3}}"," ",0,"115/5820884187057104679865572244942878614409445376*sqrt(7)*(902844422048046918046098552144*14^(3/4)*sqrt(2)*(sqrt(14) + 4)^(3/2) + 2708533266144140754138295656432*14^(3/4)*sqrt(2)*sqrt(sqrt(14) + 4)*(sqrt(14) - 4) - 193466661867438625295592546888*14^(3/4)*sqrt(7)*(sqrt(14) + 4)*sqrt(-8*sqrt(14) + 32) + 8061110911143276053983022787*14^(3/4)*sqrt(7)*(-8*sqrt(14) + 32)^(3/2) + 27146218545348547209625708982656*14^(1/4)*sqrt(2)*sqrt(sqrt(14) + 4) - 1939015610382039086401836355904*14^(1/4)*sqrt(7)*sqrt(-8*sqrt(14) + 32))*arctan(1/28*14^(3/4)*(14^(1/4)*sqrt(1/2)*sqrt(sqrt(14) + 4) + 2*sqrt(-2*x + 3))/sqrt(-1/8*sqrt(14) + 1/2)) + 115/5820884187057104679865572244942878614409445376*sqrt(7)*(902844422048046918046098552144*14^(3/4)*sqrt(2)*(sqrt(14) + 4)^(3/2) + 2708533266144140754138295656432*14^(3/4)*sqrt(2)*sqrt(sqrt(14) + 4)*(sqrt(14) - 4) - 193466661867438625295592546888*14^(3/4)*sqrt(7)*(sqrt(14) + 4)*sqrt(-8*sqrt(14) + 32) + 8061110911143276053983022787*14^(3/4)*sqrt(7)*(-8*sqrt(14) + 32)^(3/2) + 27146218545348547209625708982656*14^(1/4)*sqrt(2)*sqrt(sqrt(14) + 4) - 1939015610382039086401836355904*14^(1/4)*sqrt(7)*sqrt(-8*sqrt(14) + 32))*arctan(-1/28*14^(3/4)*(14^(1/4)*sqrt(1/2)*sqrt(sqrt(14) + 4) - 2*sqrt(-2*x + 3))/sqrt(-1/8*sqrt(14) + 1/2)) - 115/11641768374114209359731144489885757228818890752*sqrt(7)*(128977774578292416863728364592*14^(3/4)*sqrt(7)*sqrt(2)*(sqrt(14) + 4)^(3/2) + 386933323734877250591185093776*14^(3/4)*sqrt(7)*sqrt(2)*sqrt(sqrt(14) + 4)*(sqrt(14) - 4) + 1354266633072070377069147828216*14^(3/4)*(sqrt(14) + 4)*sqrt(-8*sqrt(14) + 32) - 56427776378002932377881159509*14^(3/4)*(-8*sqrt(14) + 32)^(3/2) + 3878031220764078172803672711808*14^(1/4)*sqrt(7)*sqrt(2)*sqrt(sqrt(14) + 4) + 13573109272674273604812854491328*14^(1/4)*sqrt(-8*sqrt(14) + 32))*log(14^(1/4)*sqrt(1/2)*sqrt(-2*x + 3)*sqrt(sqrt(14) + 4) - 2*x + sqrt(14) + 3) + 115/11641768374114209359731144489885757228818890752*sqrt(7)*(128977774578292416863728364592*14^(3/4)*sqrt(7)*sqrt(2)*(sqrt(14) + 4)^(3/2) + 386933323734877250591185093776*14^(3/4)*sqrt(7)*sqrt(2)*sqrt(sqrt(14) + 4)*(sqrt(14) - 4) + 1354266633072070377069147828216*14^(3/4)*(sqrt(14) + 4)*sqrt(-8*sqrt(14) + 32) - 56427776378002932377881159509*14^(3/4)*(-8*sqrt(14) + 32)^(3/2) + 3878031220764078172803672711808*14^(1/4)*sqrt(7)*sqrt(2)*sqrt(sqrt(14) + 4) + 13573109272674273604812854491328*14^(1/4)*sqrt(-8*sqrt(14) + 32))*log(-14^(1/4)*sqrt(1/2)*sqrt(-2*x + 3)*sqrt(sqrt(14) + 4) - 2*x + sqrt(14) + 3) + 1/24112597431479447071556104988390860001680293888*(385912796294138623132486146144809805*(2*x - 3)^37*sqrt(-2*x + 3) + 49944166626569370884317542782684785215*(2*x - 3)^36*sqrt(-2*x + 3) + 3157104325190190818790417015768672100251*(2*x - 3)^35*sqrt(-2*x + 3) + 129862663539742829727010168448772257537793*(2*x - 3)^34*sqrt(-2*x + 3) + 3907056032933059027385185682832433217956200*(2*x - 3)^33*sqrt(-2*x + 3) + 91626342308240062913659469031676941328847688*(2*x - 3)^32*sqrt(-2*x + 3) + 1743051839783716654458570168808933730174627004*(2*x - 3)^31*sqrt(-2*x + 3) + 27638544507622729125093621837291437830917462708*(2*x - 3)^30*sqrt(-2*x + 3) + 372498510070445411629537388290851713705080145718*(2*x - 3)^29*sqrt(-2*x + 3) + 4329953516930687342337472014272666363969651587314*(2*x - 3)^28*sqrt(-2*x + 3) + 43899444560112308623605331157143896725828415934650*(2*x - 3)^27*sqrt(-2*x + 3) + 391609357365773780316151578457972453648367489837454*(2*x - 3)^26*sqrt(-2*x + 3) + 3095031701758849575040626937399363198202032753884252*(2*x - 3)^25*sqrt(-2*x + 3) + 21790719622224681379416567825910093368668334676797780*(2*x - 3)^24*sqrt(-2*x + 3) + 137261402924198725794062163116053277099106968046586092*(2*x - 3)^23*sqrt(-2*x + 3) + 776171183055652545384871388553173912691352168500951876*(2*x - 3)^22*sqrt(-2*x + 3) + 3950095526376994607880784338655934603802167995433166405*(2*x - 3)^21*sqrt(-2*x + 3) + 18125803816832861597832766873339882118924015183338007655*(2*x - 3)^20*sqrt(-2*x + 3) + 75083414508694050144426639977685085540038804754309758915*(2*x - 3)^19*sqrt(-2*x + 3) + 280932652073348343517776090631271895235611343284275820345*(2*x - 3)^18*sqrt(-2*x + 3) + 949449516366891514866641779309597536478490489987954462580*(2*x - 3)^17*sqrt(-2*x + 3) + 2896666953760570249650513456393600983703549509654469117900*(2*x - 3)^16*sqrt(-2*x + 3) + 7968283692957988567650795129108295704483768260379820818752*(2*x - 3)^15*sqrt(-2*x + 3) + 19727494578812277658606009712831861626922226523266435734336*(2*x - 3)^14*sqrt(-2*x + 3) + 43844103379423695842480030320760116666491172278035172870400*(2*x - 3)^13*sqrt(-2*x + 3) + 87180772449453719112409715850861698835279004734515297162496*(2*x - 3)^12*sqrt(-2*x + 3) + 154427451620079851403012035013949923367197814895239131529728*(2*x - 3)^11*sqrt(-2*x + 3) + 242351725944359254347670713000225450988365795247877220072960*(2*x - 3)^10*sqrt(-2*x + 3) + 334646091432259174045261099248092390902126268663782608549888*(2*x - 3)^9*sqrt(-2*x + 3) + 403034519668261986708991686890381317841470126237337802123264*(2*x - 3)^8*sqrt(-2*x + 3) + 418646794645473329714896095169087072615863373434634780753920*(2*x - 3)^7*sqrt(-2*x + 3) + 369621715112196031007775193340564258755874521674193323966464*(2*x - 3)^6*sqrt(-2*x + 3) + 272008032423513780299697431707644217391623176190273099661312*(2*x - 3)^5*sqrt(-2*x + 3) + 162377109720555022535973021706211388170650620411678744248320*(2*x - 3)^4*sqrt(-2*x + 3) + 75556666748884291766220892297166603376040200755275694800896*(2*x - 3)^3*sqrt(-2*x + 3) + 25715217479147156311480451271603595696519278112265697558528*(2*x - 3)^2*sqrt(-2*x + 3) - 5695058898488457914056616763522088045930624578769252515840*(-2*x + 3)^(3/2) + 616047393270423249767303997369406352855404127230297374720*sqrt(-2*x + 3))/((2*x - 3)^2 + 14*x - 7)^19 + 1/43768013439874312895399492130064309616640*(991856055479912729664933375*(2*x - 3)^19 - 465215115289202563341931875*(2*x - 3)^18 + 376870004361848629670138100*(2*x - 3)^17 - 347816399209073565143694750*(2*x - 3)^16 + 333480450533749292133360000*(2*x - 3)^15 - 319778248261094005065228000*(2*x - 3)^14 + 300292311231869293365336000*(2*x - 3)^13 - 272225522279980529558298000*(2*x - 3)^12 + 235508819476507302437712000*(2*x - 3)^11 - 192403914635036320216640640*(2*x - 3)^10 + 146870291549367152461094400*(2*x - 3)^9 - 103544963718981484751251200*(2*x - 3)^8 + 66520770217483444975816704*(2*x - 3)^7 - 38308222816032989365145600*(2*x - 3)^6 + 19364536310461049463275520*(2*x - 3)^5 - 8351885944887834417868800*(2*x - 3)^4 + 2950396963171184804659200*(2*x - 3)^3 - 800398003403553957642240*(2*x - 3)^2 + 296499732880545408614400*x - 458814330239510651535360)/((2*x - 3)^19*sqrt(-2*x + 3))","A",0
50,1,2509,0,93.769811," ","integrate(1/(x^2-2*x+3)^(11/2)/(2*x^2+x+1)^5,x, algorithm=""giac"")","\frac{1}{19208000000000} \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} \log\left(3136 \, {\left(247430153598830145135914226638091465128017779071251327216101236181293485559300330785024470114864584026604284622700 \, \sqrt{7} \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 1443342562659842513292832988722200213246770377915632742093923877724211999095918596245976075670043406821858326965750 \, \sqrt{7} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{3} + 2886685125319685026585665977444400426493540755831265484187847755448423998191837192491952151340086813643716653931500 \, \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{3} + 206191794665691787613261855531742887606681482559376106013417696817744571299416942320853725095720486688836903852250 \, \sqrt{7722433301876572160 \, \sqrt{2} - 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151363871237318045\right)}^{3} + 72450399625695801668314411030365904852722657909983473062960040201584346528234503415451260275453983819384045801613291562600472200700 \, \sqrt{7} \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} + 633940996724838266247285453841235968367418100966298490154352212238871880229393479427155097805557896986440201529880194683449362574125 \, \sqrt{7} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 1267881993449676532082187318351088361508312490869111205095341459358991548431951565218821053012281909331172952868319415989224917443750 \, \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 126788199344967653538125603300215696332050217937699740680224518030900924464663471430273419380295298646483255439984720301061537907975 \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} - 21264528220686985082784156444749824400286141322404339508073021441899306648522000622634130083780322911432744853704088500185306368048860002880 \, \sqrt{7} \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} - 3544088036781164188457462577919025024696991609324383551287096279602081951598169116287345597965488156624173235998790978918611634665760818080 \, \sqrt{7} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} - 7088176073562328374916566029889536476564991204751185360922127716049447858985212646112610216597117728735334198568887900615291459333783931760 \, \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} - 62021540643670373420405091577929394267973114014403593823713156536262791860899401705831007948594881042345033377486353135919026969012248710900 \, {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 3289911888097385271038041781963842824253312239871578352542445952179742344286835588398026084412498768879366524177397299680463206375263895127106986700 \, \sqrt{7} \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} + 57573458041704242532967329687150455946876038506595961640397621471290299770258470645587747906056941016215068838775424495834136105150442722719839966690 \, \sqrt{7} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} + 115146916083408484993484259748605110296131995582491774181190935500623259371276266538520099917051160383062730419039816825148360727220332176154717624880 \, \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} + 19191152680568080928847909459028587443440938343434315974646074253344559590752575102628626876766807523046716011108365196910710221166349350116972946360 \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} - 421908346813441135720441182991157503093508759989415268192312552118941115876142980847139898672274073729706037742726523339689588219472775435857599079592655320 \, \sqrt{7} \sqrt{2} - 210954173406720568670297857045559135287403242478401319837374548657411401676856640700014506909797905726420309651469993318236639490549988690120558780166576108 \, \sqrt{7} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} - 421908346813441137138076397703623174719578634373819761152604209721240862085099587557106516194625617695932035781267647104895808573044339426070450150150098280 \, \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} - 92058995214015314954086068104250082609842263587571418594372338376217809267922249720111767473806366273424910555828722901509465001692379638157996477568878185171912773 \, \sqrt{7} - 814539767127070039237583513123589170024107600674987295687521641346791604050146707308458885605400724949845902669298065086595442158392477166657536193932267555915756504095096650 \, \sqrt{2} - 92058995214015311115855531990633917126372266976678439922113048655699796659517564449092929141850974541546613899009112709389970185858812421123596605881876967985540965 \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} + 1153288214547937199115551115068380549180924836937115919743481151633860416743449381465954829260459683046848466114871616567450209145337077878522828152145687185666015740023320320\right)}^{2} + 3136 \, {\left(3412431480660155504136795404099502600920319308375939091863756572751913121135591082568720686452963161513000 \, \sqrt{7} \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 19905850303850907107464639857247098505368529298859644702538580007719493206624281314984204004308951775492500 \, \sqrt{7} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{3} + 39811700607701814214929279714494197010737058597719289405077160015438986413248562629968408008617903550985000 \, \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{3} + 2843692900550129586780662836749585500766932756979949243219797143959927600946325902140600572044135967927500 \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{3} + 7685814726400200227147651553044706147214968426720207048666477678525633293871852840661789826971901179214250 \, \sqrt{7} \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 768581472640020022714765155304470614721496842672020704866647767852563329387185284066178982697190117921425 \, \sqrt{7} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 1537162945280040045429530310608941229442993685344041409733295535705126658774370568132357965394380235842850 \, \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 8966783847466900265005593478552157171750796497840241556777557291613238842850494980772088131467218042416625 \, {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{3} + 976510829351336985318426092720643328053917556999006303431427669091931152434985476815319185951875160339805775571594750014000 \, \sqrt{7} \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} + 8544469756824198644285771515706665814717081317737989161160454160393991529564500073813463684649514870098105112604541806042500 \, \sqrt{7} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 17088939513648397282884157230313072455872836961976807320787042806828084572689405859707072167406377935915009081120811676230000 \, \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 1708893951364839732838324363911514584436344234997017533305796691850727246420616016306591378254759237016461823382698716307000 \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} - 1615662910321642985918250525155953853052845908562683937530778095691283476808165943145292528342610931516231547450242131454340 \, \sqrt{7} \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} - 269277151720273830400789203609786577249938961671326854562560659627007661474391262636548122809722557868949842520038360635590 \, \sqrt{7} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} - 538554303440547660947974878198624587397928429114933826214930241667733552447191623911679736931289931750505205553827219922880 \, \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} - 4712350155104792023047027215704364836868338350696062783094015045632392519024289804526353306319649781934534112633453268706200 \, {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 41938592547058175637865452041109794172496152182758838080836990069979087459179211592863757285640930322993492863343001050374777654585752870920 \, \sqrt{7} \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} + 733925369573518077568688728124769337212428798249901052299318450769533849414676062708934630055035134045830109366690499889371007117918795898700 \, \sqrt{7} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} + 1467850739147036154160866626898201690081411926824917492012375174282776424232301401576206419636158097776887638820246148744285006222232316501400 \, \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} + 244641789857839360328825543618149597778089793408164936529659929761653877816458460985919888559249587651218708898851314243292243938339792092100 \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} - 129207775331269401934589343014991032633136481739826341489743140048131430668820437812159214718582829755008425909786359842144150949633159991150 \, \sqrt{7} \sqrt{2} + 758762916008240003409819101375410993692930390503123728189868562072536874773198417845474059096092571231597614031305995383233253822344649520984786771597244159013334688 \, x - 64603887665634701028843734757843820568795044140595103353004459024813467698671587411875073203121114557903957207825219859233524843054466661575 \, \sqrt{7} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} - 129207775331269402042300203703100565068677528624357666238053675568548792622685475800752550765348440250164638699943637093422466523499441710582 \, \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} - 3601822391482016791468032806227754184457992608529203568071788577705554082231768803383499513928216083726730307366377332828337773366071083598072772386051930660 \, \sqrt{7} - 256653251552859302745755374084882225122579558135538546802966417819334438408482678055766092810745610958399639440237969215404840097857114692088861260268773750000 \, \sqrt{2} - 758762916008240003409819101375410993692930390503123728189868562072536874773198417845474059096092571231597614031305995383233253822344649520984786771597244159013334688 \, \sqrt{x^{2} - 2 \, x + 3} - 3601822391482016742539674834659882392115916103273640493101259172279652681774568854688273070958284684112917867030199254538909056956640775330160129944904845080 \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} + 189691081878191176772044460297494206938487074845844976108591897448936648822154611593038166610328900989958412425584079869742930256624900190943273280656848430181850997\right)}^{2}\right) - \frac{1}{19208000000000} \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} \log\left(3136 \, {\left(247430153294512807701166330456641266086589954634290558518246802634639192143369324082243607312634021080788865625700 \, \sqrt{7} \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 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151363871237318045\right)}^{2} + 1267881992231385657232442886841802706002561320719976559209591615532765613996725423586023437958666981840314039628006645155934817986250 \, \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 126788199223138566053151159743530680868477906014186010703079101065663972757334945871454599987025796960356213712979359289978635966225 \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 21264527927126900961164377132668373311820329495714368356539982937044757067834357827140293364137684307991178111246209024321545469979809839680 \, \sqrt{7} \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} + 3544087987854483501520832752633716588014874818830708767403800505111750511407655000601839046131539324151071812411163027198287919028630782880 \, \sqrt{7} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} + 7088175975708967001043306364303519583685211328608505691145816839655761606123161160517397220902597330097341426354794006943734919549262613360 \, \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} + 62021539787453461399014070555129747821363280759028253853850789286729673222028079002566886678131418912687891373331690882456544841615974534900 \, {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 3289911884763015221101541114405505474753270156481065387887051759144023849028573565153578955503100992856636792237219317239230096498179223616314209700 \, \sqrt{7} \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} + 57573457983352766659078567726413066650683718699283969000978205977352244855554840995810704156013886991645243042141434050503060360394862431867078254790 \, \sqrt{7} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} + 115146915966705533245706735896746953123732751764286647850539889300840368314932975041454381339116609430412186908901253978934468277888412836527277030080 \, \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} + 19191152661117588970884988724230066021393869653903156391556097575709573739753723383708361939864243785854901671586306846977795770326107328538508811760 \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} + 421908326717543641924358820689861254773878411648930379381901809299202750782331001508374803517870628151016355380370573185797674929411754956761480005114821080 \, \sqrt{7} \sqrt{2} + 210954163358771821772256664711669711256358377483192354207771689878568670894533840499696272909870300431551803656180485854160839697165123061158228046039881708 \, \sqrt{7} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} + 421908326717543643341994015831654651625296327690259460980119715812011991659696962885724904699692807901543935675281424621198266774916716624735720821529103720 \, \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} - 92058996408756032091676158104201528390543378064521592176251540724536532234793960204749161096539249029565421653964608312866163191286164582599975902782992478976911083 \, \sqrt{7} + 814539727961527046694837833062145864584590634452974565084319757683318515854195479301757363227685529077360827463499277712322108218563975398844449113459715493032206173237469850 \, \sqrt{2} - 92058996408756028253445625880683754499657508920678900317495088819244447282337837160575812678061025688268744052098593389738274301105516868817358383880901522380694835 \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} - 1153288160734868703774786832134671399455891162767621947235397871935629389471061893160008532237204338029805266313956553667567456432846022880089884089461103241448700675305025280\right)}^{2} + 3136 \, {\left(3412431480660155504136795404099502600920319308375939091863756572751913121135591082568720686452963161513000 \, \sqrt{7} \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 19905850303850907107464639857247098505368529298859644702538580007719493206624281314984204004308951775492500 \, \sqrt{7} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{3} + 39811700607701814214929279714494197010737058597719289405077160015438986413248562629968408008617903550985000 \, \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{3} + 2843692900550129586780662836749585500766932756979949243219797143959927600946325902140600572044135967927500 \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{3} + 7685814726400200227147651553044706147214968426720207048666477678525633293871852840661789826971901179214250 \, \sqrt{7} \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 768581472640020022714765155304470614721496842672020704866647767852563329387185284066178982697190117921425 \, \sqrt{7} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 1537162945280040045429530310608941229442993685344041409733295535705126658774370568132357965394380235842850 \, \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 8966783847466900265005593478552157171750796497840241556777557291613238842850494980772088131467218042416625 \, {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{3} + 976510829351336985318426092720643328053917556999006303431427669091931152434985476815319185951875160339805775571594750014000 \, \sqrt{7} \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} + 8544469756824198644285771515706665814717081317737989161160454160393991529564500073813463684649514870098105112604541806042500 \, \sqrt{7} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 17088939513648397282884157230313072455872836961976807320787042806828084572689405859707072167406377935915009081120811676230000 \, \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 1708893951364839732838324363911514584436344234997017533305796691850727246420616016306591378254759237016461823382698716307000 \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} - 1615662910321642985918250525155953853052845908562683937530778095691283476808165943145292528342610931516231547450242131454340 \, \sqrt{7} \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} - 269277151720273830400789203609786577249938961671326854562560659627007661474391262636548122809722557868949842520038360635590 \, \sqrt{7} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} - 538554303440547660947974878198624587397928429114933826214930241667733552447191623911679736931289931750505205553827219922880 \, \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} - 4712350155104792023047027215704364836868338350696062783094015045632392519024289804526353306319649781934534112633453268706200 \, {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)}^{2} + 41938592547058175637865452041109794172496152182758838080836990069979087459179211592863757285640930322993492863343001050374777654585752870920 \, \sqrt{7} \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} + 733925369573518077568688728124769337212428798249901052299318450769533849414676062708934630055035134045830109366690499889371007117918795898700 \, \sqrt{7} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} + 1467850739147036154160866626898201690081411926824917492012375174282776424232301401576206419636158097776887638820246148744285006222232316501400 \, \sqrt{2} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} + 244641789857839360328825543618149597778089793408164936529659929761653877816458460985919888559249587651218708898851314243292243938339792092100 \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} {\left(110320475741093888 \, \sqrt{2} - 151363871237318045\right)} - 129207775331269401934589343014991032633136481739826341489743140048131430668820437812159214718582829755008425909786359842144150949633159991150 \, \sqrt{7} \sqrt{2} - 758762916008240003409819101375410993692930390503123728189868562072536874773198417845474059096092571231597614031305995383233253822344649520984786771597244159013334688 \, x - 64603887665634701028843734757843820568795044140595103353004459024813467698671587411875073203121114557903957207825219859233524843054466661575 \, \sqrt{7} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} - 129207775331269402042300203703100565068677528624357666238053675568548792622685475800752550765348440250164638699943637093422466523499441710582 \, \sqrt{2} \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} - 3601822391482016791468032806227754184457992608529203568071788577705554082231768803383499513928216083726730307366377332828337773366071083598072772386051930660 \, \sqrt{7} - 256653251552859302745755374084882225122579558135538546802966417819334438408482678055766092810745610958399639440237969215404840097857114692088861260268773750000 \, \sqrt{2} + 758762916008240003409819101375410993692930390503123728189868562072536874773198417845474059096092571231597614031305995383233253822344649520984786771597244159013334688 \, \sqrt{x^{2} - 2 \, x + 3} - 3601822391482016742539674834659882392115916103273640493101259172279652681774568854688273070958284684112917867030199254538909056956640775330160129944904845080 \, \sqrt{7722433301876572160 \, \sqrt{2} - 10595470986612263150} - 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368235980856061293812100449423314733558612942895100398043329245333136823181580024721476354281502066792356860508683478554304309475540771033672165453813191045495483200*sqrt(7722433301876572160*sqrt(2) - 10595470986612263150) + 142835210520388728827903853693232289300402954893648600418526215611670264583041444569915814770291499043879486110165753955023507391431740254479476659166189278113070264611396886))/(110320475741093888*sqrt(2) - 151363871237318045) - 41672947348129/28000000000*sqrt(7)*sqrt(7722433301876572160*sqrt(2) - 10595470986612263150)*arctan(-1/14*(42490723296461440190949869677023015646804101868174928778632639476062064987299111399346547309381183988969466385753135741461062214051300373175148059209445672904746742528*x - 42490723296461440190949869677023015646804101868174928778632639476062064987299111399346547309381183988969466385753135741461062214051300373175148059209445672904746742528*sqrt(x^2 - 2*x + 3) - 10622680824115360047737467419255753911701025467043732194658159869015516246824777849836636827345295997242366596438283935365265553512825093293787014802361418226186685632*I*sqrt(20*sqrt(2) - 25) + 10622680824115360047737467419255753911701025467043732194658159869015516246824777849836636827345295997242366596438283935365265553512825093293787014802361418226186685632)/(2404569031044828063179458993747728533397375652422648770828443174291926065533229582917819313047949670367238733*(sqrt(7) + 2*sqrt(2) + sqrt(7722433301876572160*sqrt(2) - 10595470986612263150))^7 + 1427399386402795423103241649323508459758417264691242440494392029061629193828915227289144427476808605323457798934284966*(sqrt(7) + 2*sqrt(2) + sqrt(7722433301876572160*sqrt(2) - 10595470986612263150))^6 + 103500570794398828673704559093149103664574830042270418676217772397611737399109743666577656693380270736279743910695330805730930506*(sqrt(7) + 2*sqrt(2) + sqrt(7722433301876572160*sqrt(2) - 10595470986612263150))^5 + 50629828397921192657622134430905517819210041766723456843213902617311000457764306932616604186968701543769353918396995134839582865594841454*(sqrt(7) + 2*sqrt(2) + sqrt(7722433301876572160*sqrt(2) - 10595470986612263150))^4 + 1096637294921005068525485165081893719521877793381198945537497268383001795642074241605363210271082182350299185943188313831810524294377442378547095677*(sqrt(7) + 2*sqrt(2) + sqrt(7722433301876572160*sqrt(2) - 10595470986612263150))^3 + 421908326717543640405463968752225473761982330345651759435786313555664940163096802031617835780482986046113584519114737539776217075850964725785432795347393026*(sqrt(7) + 2*sqrt(2) + sqrt(7722433301876572160*sqrt(2) - 10595470986612263150))^2 - 368235985635024162362460774967963334004243897793303578695550410507799195844567196904285900746309831059944379885387481474312223533832259969580105714665875528461138380*sqrt(7) - 736471971270048324724921549935926668008487795586607157391100821015598391689134393808571801492619662119888759770774962948624447067664519939160211429331751056922276760*sqrt(2) - 368235985635024162362460774967963334004243897793303578695550410507799195844567196904285900746309831059944379885387481474312223533832259969580105714665875528461138380*sqrt(7722433301876572160*sqrt(2) - 10595470986612263150) - 142835208193613592915330036722260451533458578946048957790307351258262277239751604641916384506889981140070748629723613145062430716033621311266813074832334518174840024828894486))/(110320475741093888*sqrt(2) - 151363871237318045) + 1/205800000000*(108121281*(x - sqrt(x^2 - 2*x + 3))^15 + 135317265*(x - sqrt(x^2 - 2*x + 3))^14 - 2309618731*(x - sqrt(x^2 - 2*x + 3))^13 - 4089866767*(x - sqrt(x^2 - 2*x + 3))^12 + 23951599406*(x - sqrt(x^2 - 2*x + 3))^11 + 45641347654*(x - sqrt(x^2 - 2*x + 3))^10 - 149568395690*(x - sqrt(x^2 - 2*x + 3))^9 - 288215430978*(x - sqrt(x^2 - 2*x + 3))^8 + 660704292769*(x - sqrt(x^2 - 2*x + 3))^7 + 1062639157153*(x - sqrt(x^2 - 2*x + 3))^6 - 2094971437979*(x - sqrt(x^2 - 2*x + 3))^5 - 2301192104575*(x - sqrt(x^2 - 2*x + 3))^4 + 4977175786352*(x - sqrt(x^2 - 2*x + 3))^3 + 1302994004424*(x - sqrt(x^2 - 2*x + 3))^2 - 6052879270032*x + 6052879270032*sqrt(x^2 - 2*x + 3) + 2841437414928)/((x - sqrt(x^2 - 2*x + 3))^4 + (x - sqrt(x^2 - 2*x + 3))^3 - 5*(x - sqrt(x^2 - 2*x + 3))^2 - 7*x + 7*sqrt(x^2 - 2*x + 3) + 14)^4 + 1/3150000000*(3*((((((((29420*x - 332589)*x + 1860912)*x - 6743744)*x + 17167416)*x - 31960026)*x + 43362368)*x - 42014736)*x + 26516604)*x - 27199867)/(x^2 - 2*x + 3)^(9/2)","C",0
51,-1,0,0,0.000000," ","integrate(1/(x^2-2*x+3)^(21/2)/(2*x^2+x+1)^10,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
52,0,0,0,0.000000," ","integrate((-a+x-(a^2+1)^(1/2))/(-a+x+(a^2+1)^(1/2))/((-a+x)*(x^2+1))^(1/2),x, algorithm=""giac"")","\int \frac{a - x + \sqrt{a^{2} + 1}}{\sqrt{-{\left(x^{2} + 1\right)} {\left(a - x\right)}} {\left(a - x - \sqrt{a^{2} + 1}\right)}}\,{d x}"," ",0,"integrate((a - x + sqrt(a^2 + 1))/(sqrt(-(x^2 + 1)*(a - x))*(a - x - sqrt(a^2 + 1))), x)","F",0
53,0,0,0,0.000000," ","integrate((b*x+a)/(-x^2+1)^(1/3)/(x^2+3),x, algorithm=""giac"")","\int \frac{b x + a}{{\left(x^{2} + 3\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*x + a)/((x^2 + 3)*(-x^2 + 1)^(1/3)), x)","F",0
54,0,0,0,0.000000," ","integrate((b*x+a)/(-x^2+3)/(x^2+1)^(1/3),x, algorithm=""giac"")","\int -\frac{b x + a}{{\left(x^{2} + 1\right)}^{\frac{1}{3}} {\left(x^{2} - 3\right)}}\,{d x}"," ",0,"integrate(-(b*x + a)/((x^2 + 1)^(1/3)*(x^2 - 3)), x)","F",0
55,0,0,0,0.000000," ","integrate(1/x/(3*x^2-6*x+4)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(3 \, x^{2} - 6 \, x + 4\right)}^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate(1/((3*x^2 - 6*x + 4)^(1/3)*x), x)","F",0
56,0,0,0,0.000000," ","integrate(x*(-x^3+1)^(1/3),x, algorithm=""giac"")","\int {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x\,{d x}"," ",0,"integrate((-x^3 + 1)^(1/3)*x, x)","F",0
57,1,72,0,1.116465," ","integrate((-x^3+1)^(1/3)/x,x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} - \frac{1}{6} \, \log\left({\left(-x^{3} + 1\right)}^{\frac{2}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{3} \, \log\left({\left| {\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 1 \right|}\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(-x^3 + 1)^(1/3) + 1)) + (-x^3 + 1)^(1/3) - 1/6*log((-x^3 + 1)^(2/3) + (-x^3 + 1)^(1/3) + 1) + 1/3*log(abs((-x^3 + 1)^(1/3) - 1))","A",0
58,0,0,0,0.000000," ","integrate((-x^3+1)^(1/3)/(1+x),x, algorithm=""giac"")","\int \frac{{\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x + 1}\,{d x}"," ",0,"integrate((-x^3 + 1)^(1/3)/(x + 1), x)","F",0
59,0,0,0,0.000000," ","integrate((-x^3+1)^(1/3)/(x^2-x+1),x, algorithm=""giac"")","\int \frac{{\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x^{2} - x + 1}\,{d x}"," ",0,"integrate((-x^3 + 1)^(1/3)/(x^2 - x + 1), x)","F",0
60,0,0,0,0.000000," ","integrate((-x^3+1)^(1/3)/(2+x),x, algorithm=""giac"")","\int \frac{{\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x + 2}\,{d x}"," ",0,"integrate((-x^3 + 1)^(1/3)/(x + 2), x)","F",0
61,0,0,0,0.000000," ","integrate((2+x)/(x^2+x+1)/(x^3+2)^(1/3),x, algorithm=""giac"")","\int \frac{x + 2}{{\left(x^{3} + 2\right)}^{\frac{1}{3}} {\left(x^{2} + x + 1\right)}}\,{d x}"," ",0,"integrate((x + 2)/((x^3 + 2)^(1/3)*(x^2 + x + 1)), x)","F",0
62,1,23,0,0.988934," ","integrate((160*x^3+30*x^2-3*x+3)/(320*x^4+80*x^3-12*x^2+24*x+9),x, algorithm=""giac"")","\frac{1}{8} \, \log\left(320 \, x^{4} + 80 \, x^{3} - 12 \, x^{2} + 24 \, x + 9\right)"," ",0,"1/8*log(320*x^4 + 80*x^3 - 12*x^2 + 24*x + 9)","A",0
63,1,40,0,0.848382," ","integrate((20*x^2+12*x+3)/(320*x^4+80*x^3-12*x^2+24*x+9),x, algorithm=""giac"")","\frac{1}{22} \, \sqrt{11} {\left(\arctan\left(\frac{1}{66} \, \sqrt{11} {\left(800 \, x^{3} - 40 \, x^{2} + 30 \, x + 57\right)}\right) - \arctan\left(-\frac{1}{55} \, \sqrt{11} {\left(40 \, x - 7\right)}\right)\right)}"," ",0,"1/22*sqrt(11)*(arctan(1/66*sqrt(11)*(800*x^3 - 40*x^2 + 30*x + 57)) - arctan(-1/55*sqrt(11)*(40*x - 7)))","A",0
64,1,64,0,0.969395," ","integrate((2560*x^3-400*x^2-576*x-84)/(320*x^4+80*x^3-12*x^2+24*x+9),x, algorithm=""giac"")","-2 \, \sqrt{11} {\left(\arctan\left(\frac{1}{66} \, \sqrt{11} {\left(800 \, x^{3} - 40 \, x^{2} + 30 \, x + 57\right)}\right) - \arctan\left(-\frac{1}{55} \, \sqrt{11} {\left(40 \, x - 7\right)}\right)\right)} + 2 \, \log\left(320 \, x^{4} + 80 \, x^{3} - 12 \, x^{2} + 24 \, x + 9\right)"," ",0,"-2*sqrt(11)*(arctan(1/66*sqrt(11)*(800*x^3 - 40*x^2 + 30*x + 57)) - arctan(-1/55*sqrt(11)*(40*x - 7))) + 2*log(320*x^4 + 80*x^3 - 12*x^2 + 24*x + 9)","A",0
65,0,0,0,0.000000," ","integrate((-x^4+1)^(1/2)/(x^4+1),x, algorithm=""giac"")","\int \frac{\sqrt{-x^{4} + 1}}{x^{4} + 1}\,{d x}"," ",0,"integrate(sqrt(-x^4 + 1)/(x^4 + 1), x)","F",0
66,0,0,0,0.000000," ","integrate((x^4+1)^(1/2)/(-x^4+1),x, algorithm=""giac"")","\int -\frac{\sqrt{x^{4} + 1}}{x^{4} - 1}\,{d x}"," ",0,"integrate(-sqrt(x^4 + 1)/(x^4 - 1), x)","F",0
67,0,0,0,0.000000," ","integrate((x^4+p*x^2+1)^(1/2)/(-x^4+1),x, algorithm=""giac"")","\int -\frac{\sqrt{x^{4} + p x^{2} + 1}}{x^{4} - 1}\,{d x}"," ",0,"integrate(-sqrt(x^4 + p*x^2 + 1)/(x^4 - 1), x)","F",0
68,0,0,0,0.000000," ","integrate((-x^4+p*x^2+1)^(1/2)/(x^4+1),x, algorithm=""giac"")","\int \frac{\sqrt{-x^{4} + p x^{2} + 1}}{x^{4} + 1}\,{d x}"," ",0,"integrate(sqrt(-x^4 + p*x^2 + 1)/(x^4 + 1), x)","F",0
69,0,0,0,0.000000," ","integrate((b*x+a)/(-x^2+2)/(x^2-1)^(1/4),x, algorithm=""giac"")","\int -\frac{b x + a}{{\left(x^{2} - 1\right)}^{\frac{1}{4}} {\left(x^{2} - 2\right)}}\,{d x}"," ",0,"integrate(-(b*x + a)/((x^2 - 1)^(1/4)*(x^2 - 2)), x)","F",0
70,0,0,0,0.000000," ","integrate((b*x+a)/(-x^2-1)^(1/4)/(x^2+2),x, algorithm=""giac"")","\int \frac{b x + a}{{\left(x^{2} + 2\right)} {\left(-x^{2} - 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((b*x + a)/((x^2 + 2)*(-x^2 - 1)^(1/4)), x)","F",0
71,0,0,0,0.000000," ","integrate((b*x+a)/(-x^2+1)^(1/4)/(-x^2+2),x, algorithm=""giac"")","\int -\frac{b x + a}{{\left(x^{2} - 2\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(-(b*x + a)/((x^2 - 2)*(-x^2 + 1)^(1/4)), x)","F",0
72,0,0,0,0.000000," ","integrate((b*x+a)/(x^2+1)^(1/4)/(x^2+2),x, algorithm=""giac"")","\int \frac{b x + a}{{\left(x^{2} + 2\right)} {\left(x^{2} + 1\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((b*x + a)/((x^2 + 2)*(x^2 + 1)^(1/4)), x)","F",0
73,0,0,0,0.000000," ","integrate(x/(-x^3+4)/(-x^3+1)^(1/2),x, algorithm=""giac"")","\int -\frac{x}{{\left(x^{3} - 4\right)} \sqrt{-x^{3} + 1}}\,{d x}"," ",0,"integrate(-x/((x^3 - 4)*sqrt(-x^3 + 1)), x)","F",0
74,0,0,0,0.000000," ","integrate(x/(-d*x^3+4)/(d*x^3-1)^(1/2),x, algorithm=""giac"")","\int -\frac{x}{\sqrt{d x^{3} - 1} {\left(d x^{3} - 4\right)}}\,{d x}"," ",0,"integrate(-x/(sqrt(d*x^3 - 1)*(d*x^3 - 4)), x)","F",0
75,0,0,0,0.000000," ","integrate(x/(x^3+8)/(x^3-1)^(1/2),x, algorithm=""giac"")","\int \frac{x}{{\left(x^{3} + 8\right)} \sqrt{x^{3} - 1}}\,{d x}"," ",0,"integrate(x/((x^3 + 8)*sqrt(x^3 - 1)), x)","F",0
76,0,0,0,0.000000," ","integrate(x/(-d*x^3+8)/(d*x^3+1)^(1/2),x, algorithm=""giac"")","\int -\frac{x}{\sqrt{d x^{3} + 1} {\left(d x^{3} - 8\right)}}\,{d x}"," ",0,"integrate(-x/(sqrt(d*x^3 + 1)*(d*x^3 - 8)), x)","F",0
77,0,0,0,0.000000," ","integrate(1/(-3*x^2+1)^(1/3)/(-x^2+3),x, algorithm=""giac"")","\int -\frac{1}{{\left(x^{2} - 3\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(-1/((x^2 - 3)*(-3*x^2 + 1)^(1/3)), x)","F",0
78,0,0,0,0.000000," ","integrate(1/(x^2+3)/(3*x^2+1)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(3 \, x^{2} + 1\right)}^{\frac{1}{3}} {\left(x^{2} + 3\right)}}\,{d x}"," ",0,"integrate(1/((3*x^2 + 1)^(1/3)*(x^2 + 3)), x)","F",0
79,0,0,0,0.000000," ","integrate(1/(-x^2+1)^(1/3)/(x^2+3),x, algorithm=""giac"")","\int \frac{1}{{\left(x^{2} + 3\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((x^2 + 3)*(-x^2 + 1)^(1/3)), x)","F",0
80,0,0,0,0.000000," ","integrate(1/(-x^2+3)/(x^2+1)^(1/3),x, algorithm=""giac"")","\int -\frac{1}{{\left(x^{2} + 1\right)}^{\frac{1}{3}} {\left(x^{2} - 3\right)}}\,{d x}"," ",0,"integrate(-1/((x^2 + 1)^(1/3)*(x^2 - 3)), x)","F",0
81,0,0,0,0.000000," ","integrate((a+x)/(-a+x)/(a^2*x-(a^2+1)*x^2+x^3)^(1/2),x, algorithm=""giac"")","\int -\frac{a + x}{\sqrt{a^{2} x - {\left(a^{2} + 1\right)} x^{2} + x^{3}} {\left(a - x\right)}}\,{d x}"," ",0,"integrate(-(a + x)/(sqrt(a^2*x - (a^2 + 1)*x^2 + x^3)*(a - x)), x)","F",0
82,0,0,0,0.000000," ","integrate((-2+a+x)/(-a+x)/((2-a)*a*x+(a^2-2*a-1)*x^2+x^3)^(1/2),x, algorithm=""giac"")","\int -\frac{a + x - 2}{\sqrt{-{\left(a - 2\right)} a x + {\left(a^{2} - 2 \, a - 1\right)} x^{2} + x^{3}} {\left(a - x\right)}}\,{d x}"," ",0,"integrate(-(a + x - 2)/(sqrt(-(a - 2)*a*x + (a^2 - 2*a - 1)*x^2 + x^3)*(a - x)), x)","F",0
83,0,0,0,0.000000," ","integrate((-a+(-1+2*a)*x)/(-a+x)/(a^2*x-(a^2+2*a-1)*x^2+(-1+2*a)*x^3)^(1/2),x, algorithm=""giac"")","\int -\frac{{\left(2 \, a - 1\right)} x - a}{\sqrt{{\left(2 \, a - 1\right)} x^{3} + a^{2} x - {\left(a^{2} + 2 \, a - 1\right)} x^{2}} {\left(a - x\right)}}\,{d x}"," ",0,"integrate(-((2*a - 1)*x - a)/(sqrt((2*a - 1)*x^3 + a^2*x - (a^2 + 2*a - 1)*x^2)*(a - x)), x)","F",0
84,0,0,0,0.000000," ","integrate((1-2^(1/3)*x)/(2^(2/3)+x)/(x^3+1)^(1/2),x, algorithm=""giac"")","\int -\frac{2^{\frac{1}{3}} x - 1}{\sqrt{x^{3} + 1} {\left(x + 2^{\frac{2}{3}}\right)}}\,{d x}"," ",0,"integrate(-(2^(1/3)*x - 1)/(sqrt(x^3 + 1)*(x + 2^(2/3))), x)","F",0
85,0,0,0,0.000000," ","integrate((1+x)/(-2+x)/(x^3+1)^(1/2),x, algorithm=""giac"")","\int \frac{x + 1}{\sqrt{x^{3} + 1} {\left(x - 2\right)}}\,{d x}"," ",0,"integrate((x + 1)/(sqrt(x^3 + 1)*(x - 2)), x)","F",0
86,0,0,0,0.000000," ","integrate(x/(10+x^3+6*3^(1/2))/(x^3+1)^(1/2),x, algorithm=""giac"")","\int \frac{x}{{\left(x^{3} + 6 \, \sqrt{3} + 10\right)} \sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(x/((x^3 + 6*sqrt(3) + 10)*sqrt(x^3 + 1)), x)","F",0
87,0,0,0,0.000000," ","integrate(x/(10+x^3-6*3^(1/2))/(x^3+1)^(1/2),x, algorithm=""giac"")","\int \frac{x}{{\left(x^{3} - 6 \, \sqrt{3} + 10\right)} \sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(x/((x^3 - 6*sqrt(3) + 10)*sqrt(x^3 + 1)), x)","F",0
88,0,0,0,0.000000," ","integrate(x/(-10+x^3-6*3^(1/2))/(x^3-1)^(1/2),x, algorithm=""giac"")","\int \frac{x}{{\left(x^{3} - 6 \, \sqrt{3} - 10\right)} \sqrt{x^{3} - 1}}\,{d x}"," ",0,"integrate(x/((x^3 - 6*sqrt(3) - 10)*sqrt(x^3 - 1)), x)","F",0
89,0,0,0,0.000000," ","integrate(x/(-10+x^3+6*3^(1/2))/(x^3-1)^(1/2),x, algorithm=""giac"")","\int \frac{x}{{\left(x^{3} + 6 \, \sqrt{3} - 10\right)} \sqrt{x^{3} - 1}}\,{d x}"," ",0,"integrate(x/((x^3 + 6*sqrt(3) - 10)*sqrt(x^3 - 1)), x)","F",0
90,0,0,0,0.000000," ","integrate((1+x-3^(1/2))/(1+x+3^(1/2))/(-4+x^4+4*3^(1/2)*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x - \sqrt{3} + 1}{\sqrt{x^{4} + 4 \, \sqrt{3} x^{2} - 4} {\left(x + \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((x - sqrt(3) + 1)/(sqrt(x^4 + 4*sqrt(3)*x^2 - 4)*(x + sqrt(3) + 1)), x)","F",0
91,0,0,0,0.000000," ","integrate((1+x+3^(1/2))/(1+x-3^(1/2))/(-4+x^4-4*3^(1/2)*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{x + \sqrt{3} + 1}{\sqrt{x^{4} - 4 \, \sqrt{3} x^{2} - 4} {\left(x - \sqrt{3} + 1\right)}}\,{d x}"," ",0,"integrate((x + sqrt(3) + 1)/(sqrt(x^4 - 4*sqrt(3)*x^2 - 4)*(x - sqrt(3) + 1)), x)","F",0
92,0,0,0,0.000000," ","integrate((-1+x)/(1+x)/(x^3+2)^(1/3),x, algorithm=""giac"")","\int \frac{x - 1}{{\left(x^{3} + 2\right)}^{\frac{1}{3}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate((x - 1)/((x^3 + 2)^(1/3)*(x + 1)), x)","F",0
93,0,0,0,0.000000," ","integrate(1/(1+x)/(x^3+2)^(1/3),x, algorithm=""giac"")","\int \frac{1}{{\left(x^{3} + 2\right)}^{\frac{1}{3}} {\left(x + 1\right)}}\,{d x}"," ",0,"integrate(1/((x^3 + 2)^(1/3)*(x + 1)), x)","F",0
94,0,0,0,0.000000," ","integrate(1/(-x^3+1)/(b*x^3+a)^(1/3),x, algorithm=""giac"")","\int -\frac{1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(x^{3} - 1\right)}}\,{d x}"," ",0,"integrate(-1/((b*x^3 + a)^(1/3)*(x^3 - 1)), x)","F",0
95,0,0,0,0.000000," ","integrate((1+x)/(x^2+x+1)/(b*x^3+a)^(1/3),x, algorithm=""giac"")","\int \frac{x + 1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(x^{2} + x + 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/((b*x^3 + a)^(1/3)*(x^2 + x + 1)), x)","F",0
96,1,113,0,20.989795," ","integrate(x^2/(-x^3+1)/(b*x^3+a)^(1/3),x, algorithm=""giac"")","-\frac{{\left(a + b\right)}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + {\left(a + b\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(a + b\right)}^{\frac{1}{3}}}\right)}{\sqrt{3} a + \sqrt{3} b} + \frac{\log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(a + b\right)}^{\frac{1}{3}} + {\left(a + b\right)}^{\frac{2}{3}}\right)}{6 \, {\left(a + b\right)}^{\frac{1}{3}}} - \frac{\log\left({\left| {\left(b x^{3} + a\right)}^{\frac{1}{3}} - {\left(a + b\right)}^{\frac{1}{3}} \right|}\right)}{3 \, {\left(a + b\right)}^{\frac{1}{3}}}"," ",0,"-(a + b)^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + (a + b)^(1/3))/(a + b)^(1/3))/(sqrt(3)*a + sqrt(3)*b) + 1/6*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*(a + b)^(1/3) + (a + b)^(2/3))/(a + b)^(1/3) - 1/3*log(abs((b*x^3 + a)^(1/3) - (a + b)^(1/3)))/(a + b)^(1/3)","A",0
97,0,0,0,0.000000," ","integrate(1/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""giac"")","\int \frac{1}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(1/((x^3 + 1)*(-x^3 + 1)^(1/3)), x)","F",0
98,0,0,0,0.000000," ","integrate(x/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""giac"")","\int \frac{x}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x/((x^3 + 1)*(-x^3 + 1)^(1/3)), x)","F",0
99,1,87,0,0.884167," ","integrate(x^2/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} {\left(2^{\frac{1}{3}} + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) - \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) + \frac{1}{6} \cdot 2^{\frac{2}{3}} \log\left({\left| -2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} \right|}\right)"," ",0,"1/6*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(2/3)*(2^(1/3) + 2*(-x^3 + 1)^(1/3))) - 1/12*2^(2/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) + 1/6*2^(2/3)*log(abs(-2^(1/3) + (-x^3 + 1)^(1/3)))","A",0
100,0,0,0,0.000000," ","integrate((1+x)/(x^2-x+1)/(-x^3+1)^(1/3),x, algorithm=""giac"")","\int \frac{x + 1}{{\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x^{2} - x + 1\right)}}\,{d x}"," ",0,"integrate((x + 1)/((-x^3 + 1)^(1/3)*(x^2 - x + 1)), x)","F",0
101,0,0,0,0.000000," ","integrate((1+x)^2/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""giac"")","\int \frac{{\left(x + 1\right)}^{2}}{{\left(x^{3} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((x + 1)^2/((x^3 + 1)*(-x^3 + 1)^(1/3)), x)","F",0
102,0,0,0,0.000000," ","integrate((1-x)/(x^2+x+1)/(x^3+1)^(1/3),x, algorithm=""giac"")","\int -\frac{x - 1}{{\left(x^{3} + 1\right)}^{\frac{1}{3}} {\left(x^{2} + x + 1\right)}}\,{d x}"," ",0,"integrate(-(x - 1)/((x^3 + 1)^(1/3)*(x^2 + x + 1)), x)","F",0
103,0,0,0,0.000000," ","integrate((-x^3+1)^(2/3)/(x^2+x+1)^2,x, algorithm=""giac"")","\int \frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{2} + x + 1\right)}^{2}}\,{d x}"," ",0,"integrate((-x^3 + 1)^(2/3)/(x^2 + x + 1)^2, x)","F",0
104,0,0,0,0.000000," ","integrate((1-x)/(x^2+x+1)/(-x^3+1)^(1/3),x, algorithm=""giac"")","\int -\frac{x - 1}{{\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x^{2} + x + 1\right)}}\,{d x}"," ",0,"integrate(-(x - 1)/((-x^3 + 1)^(1/3)*(x^2 + x + 1)), x)","F",0
105,0,0,0,0.000000," ","integrate((1-x)^2/(-x^3+1)^(4/3),x, algorithm=""giac"")","\int \frac{{\left(x - 1\right)}^{2}}{{\left(-x^{3} + 1\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((x - 1)^2/(-x^3 + 1)^(4/3), x)","F",0
106,0,0,0,0.000000," ","integrate((-x^3+1)^(2/3),x, algorithm=""giac"")","\int {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\,{d x}"," ",0,"integrate((-x^3 + 1)^(2/3), x)","F",0
107,1,74,0,0.889342," ","integrate((-x^3+1)^(2/3)/x,x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right)}\right) + \frac{1}{2} \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - \frac{1}{6} \, \log\left({\left(-x^{3} + 1\right)}^{\frac{2}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{3} \, \log\left({\left| {\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 1 \right|}\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(-x^3 + 1)^(1/3) + 1)) + 1/2*(-x^3 + 1)^(2/3) - 1/6*log((-x^3 + 1)^(2/3) + (-x^3 + 1)^(1/3) + 1) + 1/3*log(abs((-x^3 + 1)^(1/3) - 1))","A",0
108,0,0,0,0.000000," ","integrate((-x^3+1)^(2/3)/(b*x+a),x, algorithm=""giac"")","\int \frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{b x + a}\,{d x}"," ",0,"integrate((-x^3 + 1)^(2/3)/(b*x + a), x)","F",0
109,0,0,0,0.000000," ","integrate((-x^3+1)^(2/3)/(x^2-x+1)^2,x, algorithm=""giac"")","\int \frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{{\left(x^{2} - x + 1\right)}^{2}}\,{d x}"," ",0,"integrate((-x^3 + 1)^(2/3)/(x^2 - x + 1)^2, x)","F",0
110,0,0,0,0.000000," ","integrate((1-2*x)*(-x^3+1)^(2/3)/(x^2-x+1)^2,x, algorithm=""giac"")","\int -\frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}} {\left(2 \, x - 1\right)}}{{\left(x^{2} - x + 1\right)}^{2}}\,{d x}"," ",0,"integrate(-(-x^3 + 1)^(2/3)*(2*x - 1)/(x^2 - x + 1)^2, x)","F",0
111,0,0,0,0.000000," ","integrate((-x^3+1)^(2/3)/(1+x),x, algorithm=""giac"")","\int \frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x + 1}\,{d x}"," ",0,"integrate((-x^3 + 1)^(2/3)/(x + 1), x)","F",0
112,0,0,0,0.000000," ","integrate((x^2-x+1)*(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""giac"")","\int \frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{2} - x + 1\right)}}{x^{3} + 1}\,{d x}"," ",0,"integrate((-x^3 + 1)^(2/3)*(x^2 - x + 1)/(x^3 + 1), x)","F",0
113,0,0,0,0.000000," ","integrate((-x^3+1)^(2/3)/(x^3+1),x, algorithm=""giac"")","\int \frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{3} + 1}\,{d x}"," ",0,"integrate((-x^3 + 1)^(2/3)/(x^3 + 1), x)","F",0
114,0,0,0,0.000000," ","integrate(x*(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""giac"")","\int \frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}} x}{x^{3} + 1}\,{d x}"," ",0,"integrate((-x^3 + 1)^(2/3)*x/(x^3 + 1), x)","F",0
115,0,0,0,0.000000," ","integrate((1-x)*(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""giac"")","\int -\frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}} {\left(x - 1\right)}}{x^{3} + 1}\,{d x}"," ",0,"integrate(-(-x^3 + 1)^(2/3)*(x - 1)/(x^3 + 1), x)","F",0
116,0,0,0,0.000000," ","integrate((-x^3+1)^(1/3)/(x^3+1),x, algorithm=""giac"")","\int \frac{{\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x^{3} + 1}\,{d x}"," ",0,"integrate((-x^3 + 1)^(1/3)/(x^3 + 1), x)","F",0
