1,1,9,0,0.390308," ","integrate((1+2*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"1/3*(2*x + 1)^(3/2)","A",0
2,1,19,0,0.405433," ","integrate(x*(1+3*x)^(1/2),x, algorithm=""fricas"")","\frac{2}{135} \, {\left(27 \, x^{2} + 3 \, x - 2\right)} \sqrt{3 \, x + 1}"," ",0,"2/135*(27*x^2 + 3*x - 2)*sqrt(3*x + 1)","A",0
3,1,22,0,0.415911," ","integrate(x^2*(1+x)^(1/2),x, algorithm=""fricas"")","\frac{2}{105} \, {\left(15 \, x^{3} + 3 \, x^{2} - 4 \, x + 8\right)} \sqrt{x + 1}"," ",0,"2/105*(15*x^3 + 3*x^2 - 4*x + 8)*sqrt(x + 1)","A",0
4,1,14,0,0.394250," ","integrate(x/(2-3*x)^(1/2),x, algorithm=""fricas"")","-\frac{2}{27} \, {\left(3 \, x + 4\right)} \sqrt{-3 \, x + 2}"," ",0,"-2/27*(3*x + 4)*sqrt(-3*x + 2)","A",0
5,1,22,0,0.378281," ","integrate((1+x)/(x^2+2*x+2)^3,x, algorithm=""fricas"")","-\frac{1}{4 \, {\left(x^{4} + 4 \, x^{3} + 8 \, x^{2} + 8 \, x + 4\right)}}"," ",0,"-1/4/(x^4 + 4*x^3 + 8*x^2 + 8*x + 4)","A",0
6,1,11,0,0.419641," ","integrate(sin(x)^3,x, algorithm=""fricas"")","\frac{1}{3} \, \cos\left(x\right)^{3} - \cos\left(x\right)"," ",0,"1/3*cos(x)^3 - cos(x)","A",0
7,1,17,0,0.395950," ","integrate((-1+z)^(1/3)*z,z, algorithm=""fricas"")","\frac{3}{28} \, {\left(4 \, z^{2} - z - 3\right)} {\left(z - 1\right)}^{\frac{1}{3}}"," ",0,"3/28*(4*z^2 - z - 3)*(z - 1)^(1/3)","A",0
8,1,10,0,0.392322," ","integrate(cos(x)/sin(x)^3,x, algorithm=""fricas"")","\frac{1}{2 \, {\left(\cos\left(x\right)^{2} - 1\right)}}"," ",0,"1/2/(cos(x)^2 - 1)","A",0
9,1,18,0,0.413501," ","integrate(cos(2*x)*(4-sin(2*x))^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(\sin\left(2 \, x\right) - 4\right)} \sqrt{-\sin\left(2 \, x\right) + 4}"," ",0,"1/3*(sin(2*x) - 4)*sqrt(-sin(2*x) + 4)","A",0
10,1,6,0,0.382824," ","integrate(sin(x)/(3+cos(x))^2,x, algorithm=""fricas"")","\frac{1}{\cos\left(x\right) + 3}"," ",0,"1/(cos(x) + 3)","A",0
11,1,12,0,0.410607," ","integrate(sin(x)/(cos(x)^3)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{\cos\left(x\right)^{3}}}{\cos\left(x\right)^{2}}"," ",0,"2*sqrt(cos(x)^3)/cos(x)^2","A",0
12,1,8,0,0.405778," ","integrate(sin((1+x)^(1/2))/(1+x)^(1/2),x, algorithm=""fricas"")","-2 \, \cos\left(\sqrt{x + 1}\right)"," ",0,"-2*cos(sqrt(x + 1))","A",0
13,1,9,0,0.422606," ","integrate(x^(-1+n)*sin(x^n),x, algorithm=""fricas"")","-\frac{\cos\left(x^{n}\right)}{n}"," ",0,"-cos(x^n)/n","A",0
14,1,11,0,0.381521," ","integrate(x^5/(-x^6+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{-x^{6} + 1}"," ",0,"-1/3*sqrt(-x^6 + 1)","A",0
15,1,15,0,0.376885," ","integrate(t*(1+t)^(1/4),t, algorithm=""fricas"")","\frac{4}{45} \, {\left(5 \, t^{2} + t - 4\right)} {\left(t + 1\right)}^{\frac{1}{4}}"," ",0,"4/45*(5*t^2 + t - 4)*(t + 1)^(1/4)","A",0
16,1,22,0,0.373673," ","integrate(1/(x^2+1)^(3/2),x, algorithm=""fricas"")","\frac{x^{2} + \sqrt{x^{2} + 1} x + 1}{x^{2} + 1}"," ",0,"(x^2 + sqrt(x^2 + 1)*x + 1)/(x^2 + 1)","B",0
17,1,11,0,0.379094," ","integrate(x^2*(8*x^3+27)^(2/3),x, algorithm=""fricas"")","\frac{1}{40} \, {\left(8 \, x^{3} + 27\right)}^{\frac{5}{3}}"," ",0,"1/40*(8*x^3 + 27)^(5/3)","A",0
18,1,11,0,0.422798," ","integrate((cos(x)+sin(x))/(-cos(x)+sin(x))^(1/3),x, algorithm=""fricas"")","\frac{3}{2} \, {\left(-\cos\left(x\right) + \sin\left(x\right)\right)}^{\frac{2}{3}}"," ",0,"3/2*(-cos(x) + sin(x))^(2/3)","A",0
19,1,23,0,0.431477," ","integrate(x/(1+x^2+(x^2+1)^(3/2))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{x^{2} + {\left(x^{2} + 1\right)}^{\frac{3}{2}} + 1}}{\sqrt{x^{2} + 1}}"," ",0,"2*sqrt(x^2 + (x^2 + 1)^(3/2) + 1)/sqrt(x^2 + 1)","A",0
20,1,13,0,0.407168," ","integrate(x/(x^2+1)^(1/2)/((x^2+1)^(1/2)+1)^(1/2),x, algorithm=""fricas"")","2 \, \sqrt{\sqrt{x^{2} + 1} + 1}"," ",0,"2*sqrt(sqrt(x^2 + 1) + 1)","A",0
21,1,12,0,0.383871," ","integrate((x^2-2*x+1)^(1/5)/(1-x),x, algorithm=""fricas"")","-\frac{5}{2} \, {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{5}}"," ",0,"-5/2*(x^2 - 2*x + 1)^(1/5)","A",0
22,1,8,0,0.397589," ","integrate(x*sin(x),x, algorithm=""fricas"")","-x \cos\left(x\right) + \sin\left(x\right)"," ",0,"-x*cos(x) + sin(x)","A",0
23,1,15,0,0.394483," ","integrate(x^2*sin(x),x, algorithm=""fricas"")","-{\left(x^{2} - 2\right)} \cos\left(x\right) + 2 \, x \sin\left(x\right)"," ",0,"-(x^2 - 2)*cos(x) + 2*x*sin(x)","A",0
24,1,20,0,0.401800," ","integrate(x^3*cos(x),x, algorithm=""fricas"")","3 \, {\left(x^{2} - 2\right)} \cos\left(x\right) + {\left(x^{3} - 6 \, x\right)} \sin\left(x\right)"," ",0,"3*(x^2 - 2)*cos(x) + (x^3 - 6*x)*sin(x)","A",0
25,1,21,0,0.405544," ","integrate(x^3*sin(x),x, algorithm=""fricas"")","-{\left(x^{3} - 6 \, x\right)} \cos\left(x\right) + 3 \, {\left(x^{2} - 2\right)} \sin\left(x\right)"," ",0,"-(x^3 - 6*x)*cos(x) + 3*(x^2 - 2)*sin(x)","A",0
26,1,6,0,0.406027," ","integrate(cos(x)*sin(x),x, algorithm=""fricas"")","-\frac{1}{2} \, \cos\left(x\right)^{2}"," ",0,"-1/2*cos(x)^2","A",0
27,1,17,0,0.410269," ","integrate(x*cos(x)*sin(x),x, algorithm=""fricas"")","-\frac{1}{2} \, x \cos\left(x\right)^{2} + \frac{1}{4} \, \cos\left(x\right) \sin\left(x\right) + \frac{1}{4} \, x"," ",0,"-1/2*x*cos(x)^2 + 1/4*cos(x)*sin(x) + 1/4*x","A",0
28,1,10,0,0.410497," ","integrate(sin(x)^2,x, algorithm=""fricas"")","-\frac{1}{2} \, \cos\left(x\right) \sin\left(x\right) + \frac{1}{2} \, x"," ",0,"-1/2*cos(x)*sin(x) + 1/2*x","A",0
29,1,11,0,0.453322," ","integrate(sin(x)^3,x, algorithm=""fricas"")","\frac{1}{3} \, \cos\left(x\right)^{3} - \cos\left(x\right)"," ",0,"1/3*cos(x)^3 - cos(x)","A",0
30,1,19,0,0.418147," ","integrate(sin(x)^4,x, algorithm=""fricas"")","\frac{1}{8} \, {\left(2 \, \cos\left(x\right)^{3} - 5 \, \cos\left(x\right)\right)} \sin\left(x\right) + \frac{3}{8} \, x"," ",0,"1/8*(2*cos(x)^3 - 5*cos(x))*sin(x) + 3/8*x","A",0
31,1,17,0,0.410625," ","integrate(sin(x)^5,x, algorithm=""fricas"")","-\frac{1}{5} \, \cos\left(x\right)^{5} + \frac{2}{3} \, \cos\left(x\right)^{3} - \cos\left(x\right)"," ",0,"-1/5*cos(x)^5 + 2/3*cos(x)^3 - cos(x)","A",0
32,1,25,0,0.423824," ","integrate(sin(x)^6,x, algorithm=""fricas"")","-\frac{1}{48} \, {\left(8 \, \cos\left(x\right)^{5} - 26 \, \cos\left(x\right)^{3} + 33 \, \cos\left(x\right)\right)} \sin\left(x\right) + \frac{5}{16} \, x"," ",0,"-1/48*(8*cos(x)^5 - 26*cos(x)^3 + 33*cos(x))*sin(x) + 5/16*x","A",0
33,1,19,0,0.412656," ","integrate(x*sin(x)^2,x, algorithm=""fricas"")","-\frac{1}{2} \, x \cos\left(x\right) \sin\left(x\right) + \frac{1}{4} \, x^{2} - \frac{1}{4} \, \cos\left(x\right)^{2}"," ",0,"-1/2*x*cos(x)*sin(x) + 1/4*x^2 - 1/4*cos(x)^2","A",0
34,1,23,0,0.410140," ","integrate(x*sin(x)^3,x, algorithm=""fricas"")","\frac{1}{3} \, x \cos\left(x\right)^{3} - x \cos\left(x\right) - \frac{1}{9} \, {\left(\cos\left(x\right)^{2} - 7\right)} \sin\left(x\right)"," ",0,"1/3*x*cos(x)^3 - x*cos(x) - 1/9*(cos(x)^2 - 7)*sin(x)","A",0
35,1,29,0,0.458840," ","integrate(x^2*sin(x)^2,x, algorithm=""fricas"")","\frac{1}{6} \, x^{3} - \frac{1}{2} \, x \cos\left(x\right)^{2} - \frac{1}{4} \, {\left(2 \, x^{2} - 1\right)} \cos\left(x\right) \sin\left(x\right) + \frac{1}{4} \, x"," ",0,"1/6*x^3 - 1/2*x*cos(x)^2 - 1/4*(2*x^2 - 1)*cos(x)*sin(x) + 1/4*x","A",0
36,1,10,0,0.446760," ","integrate(cos(x)^2,x, algorithm=""fricas"")","\frac{1}{2} \, \cos\left(x\right) \sin\left(x\right) + \frac{1}{2} \, x"," ",0,"1/2*cos(x)*sin(x) + 1/2*x","A",0
37,1,10,0,0.445913," ","integrate(cos(x)^3,x, algorithm=""fricas"")","\frac{1}{3} \, {\left(\cos\left(x\right)^{2} + 2\right)} \sin\left(x\right)"," ",0,"1/3*(cos(x)^2 + 2)*sin(x)","A",0
38,1,19,0,0.478983," ","integrate(cos(x)^4,x, algorithm=""fricas"")","\frac{1}{8} \, {\left(2 \, \cos\left(x\right)^{3} + 3 \, \cos\left(x\right)\right)} \sin\left(x\right) + \frac{3}{8} \, x"," ",0,"1/8*(2*cos(x)^3 + 3*cos(x))*sin(x) + 3/8*x","A",0
39,1,60,0,0.495704," ","integrate((a^2-x^2)^(5/2),x, algorithm=""fricas"")","-\frac{5}{8} \, a^{6} \arctan\left(-\frac{a - \sqrt{a^{2} - x^{2}}}{x}\right) + \frac{1}{48} \, {\left(33 \, a^{4} x - 26 \, a^{2} x^{3} + 8 \, x^{5}\right)} \sqrt{a^{2} - x^{2}}"," ",0,"-5/8*a^6*arctan(-(a - sqrt(a^2 - x^2))/x) + 1/48*(33*a^4*x - 26*a^2*x^3 + 8*x^5)*sqrt(a^2 - x^2)","A",0
40,1,21,0,0.469106," ","integrate(x^5/(x^2+5)^(1/2),x, algorithm=""fricas"")","\frac{1}{15} \, {\left(3 \, x^{4} - 20 \, x^{2} + 200\right)} \sqrt{x^{2} + 5}"," ",0,"1/15*(3*x^4 - 20*x^2 + 200)*sqrt(x^2 + 5)","A",0
41,0,0,0,0.467438," ","integrate(t^3/(t^3+4)^(1/2),t, algorithm=""fricas"")","{\rm integral}\left(\frac{t^{3}}{\sqrt{t^{3} + 4}}, t\right)"," ",0,"integral(t^3/sqrt(t^3 + 4), t)","F",0
42,1,6,0,0.457634," ","integrate(tan(x)^2,x, algorithm=""fricas"")","-x + \tan\left(x\right)"," ",0,"-x + tan(x)","A",0
43,1,12,0,0.465495," ","integrate(tan(x)^4,x, algorithm=""fricas"")","\frac{1}{3} \, \tan\left(x\right)^{3} + x - \tan\left(x\right)"," ",0,"1/3*tan(x)^3 + x - tan(x)","A",0
44,1,20,0,0.461691," ","integrate(cot(x)^2,x, algorithm=""fricas"")","-\frac{x \sin\left(2 \, x\right) + \cos\left(2 \, x\right) + 1}{\sin\left(2 \, x\right)}"," ",0,"-(x*sin(2*x) + cos(2*x) + 1)/sin(2*x)","B",0
45,1,48,0,0.451087," ","integrate(cot(x)^4,x, algorithm=""fricas"")","\frac{4 \, \cos\left(2 \, x\right)^{2} + 3 \, {\left(x \cos\left(2 \, x\right) - x\right)} \sin\left(2 \, x\right) + 2 \, \cos\left(2 \, x\right) - 2}{3 \, {\left(\cos\left(2 \, x\right) - 1\right)} \sin\left(2 \, x\right)}"," ",0,"1/3*(4*cos(2*x)^2 + 3*(x*cos(2*x) - x)*sin(2*x) + 2*cos(2*x) - 2)/((cos(2*x) - 1)*sin(2*x))","B",0
46,1,18,0,0.450421," ","integrate((2+3*x)*sin(5*x),x, algorithm=""fricas"")","-\frac{1}{5} \, {\left(3 \, x + 2\right)} \cos\left(5 \, x\right) + \frac{3}{25} \, \sin\left(5 \, x\right)"," ",0,"-1/5*(3*x + 2)*cos(5*x) + 3/25*sin(5*x)","A",0
47,1,9,0,0.431485," ","integrate(x*(x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"1/3*(x^2 + 1)^(3/2)","A",0
48,1,51,0,0.388370," ","integrate(x*(x^2-1)^9,x, algorithm=""fricas"")","\frac{1}{20} x^{20} - \frac{1}{2} x^{18} + \frac{9}{4} x^{16} - 6 x^{14} + \frac{21}{2} x^{12} - \frac{63}{5} x^{10} + \frac{21}{2} x^{8} - 6 x^{6} + \frac{9}{4} x^{4} - \frac{1}{2} x^{2}"," ",0,"1/20*x^20 - 1/2*x^18 + 9/4*x^16 - 6*x^14 + 21/2*x^12 - 63/5*x^10 + 21/2*x^8 - 6*x^6 + 9/4*x^4 - 1/2*x^2","B",0
49,1,19,0,0.405166," ","integrate((3+2*x)/(7+6*x)^3,x, algorithm=""fricas"")","-\frac{3 \, x + 4}{9 \, {\left(36 \, x^{2} + 84 \, x + 49\right)}}"," ",0,"-1/9*(3*x + 4)/(36*x^2 + 84*x + 49)","A",0
50,1,31,0,0.412148," ","integrate(x^4*(x^5+1)^5,x, algorithm=""fricas"")","\frac{1}{30} x^{30} + \frac{1}{5} x^{25} + \frac{1}{2} x^{20} + \frac{2}{3} x^{15} + \frac{1}{2} x^{10} + \frac{1}{5} x^{5}"," ",0,"1/30*x^30 + 1/5*x^25 + 1/2*x^20 + 2/3*x^15 + 1/2*x^10 + 1/5*x^5","B",0
51,1,106,0,0.645335," ","integrate((1-x)^20*x^4,x, algorithm=""fricas"")","\frac{1}{25} x^{25} - \frac{5}{6} x^{24} + \frac{190}{23} x^{23} - \frac{570}{11} x^{22} + \frac{1615}{7} x^{21} - \frac{3876}{5} x^{20} + 2040 x^{19} - \frac{12920}{3} x^{18} + 7410 x^{17} - \frac{20995}{2} x^{16} + \frac{184756}{15} x^{15} - \frac{83980}{7} x^{14} + 9690 x^{13} - 6460 x^{12} + \frac{38760}{11} x^{11} - \frac{7752}{5} x^{10} + \frac{1615}{3} x^{9} - \frac{285}{2} x^{8} + \frac{190}{7} x^{7} - \frac{10}{3} x^{6} + \frac{1}{5} x^{5}"," ",0,"1/25*x^25 - 5/6*x^24 + 190/23*x^23 - 570/11*x^22 + 1615/7*x^21 - 3876/5*x^20 + 2040*x^19 - 12920/3*x^18 + 7410*x^17 - 20995/2*x^16 + 184756/15*x^15 - 83980/7*x^14 + 9690*x^13 - 6460*x^12 + 38760/11*x^11 - 7752/5*x^10 + 1615/3*x^9 - 285/2*x^8 + 190/7*x^7 - 10/3*x^6 + 1/5*x^5","B",0
52,1,4,0,0.438154," ","integrate(sin(1/x)/x^2,x, algorithm=""fricas"")","\cos\left(\frac{1}{x}\right)"," ",0,"cos(1/x)","A",0
53,1,37,0,0.468587," ","integrate(sin((-1+x)^(1/4)),x, algorithm=""fricas"")","-4 \, {\left({\left(x - 1\right)}^{\frac{3}{4}} - 6 \, {\left(x - 1\right)}^{\frac{1}{4}}\right)} \cos\left({\left(x - 1\right)}^{\frac{1}{4}}\right) + 12 \, {\left(\sqrt{x - 1} - 2\right)} \sin\left({\left(x - 1\right)}^{\frac{1}{4}}\right)"," ",0,"-4*((x - 1)^(3/4) - 6*(x - 1)^(1/4))*cos((x - 1)^(1/4)) + 12*(sqrt(x - 1) - 2)*sin((x - 1)^(1/4))","A",0
54,1,8,0,0.475635," ","integrate(x*cos(x^2)*sin(x^2),x, algorithm=""fricas"")","-\frac{1}{4} \, \cos\left(x^{2}\right)^{2}"," ",0,"-1/4*cos(x^2)^2","A",0
55,1,12,0,0.479712," ","integrate(sin(2*x)*(1+3*cos(x)^2)^(1/2),x, algorithm=""fricas"")","-\frac{2}{9} \, {\left(3 \, \cos\left(x\right)^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"-2/9*(3*cos(x)^2 + 1)^(3/2)","A",0
56,1,8,0,0.402698," ","integrate(1/(2+3*x),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(3 \, x + 2\right)"," ",0,"1/3*log(3*x + 2)","A",0
57,1,15,0,0.447607," ","integrate(log(x)^2,x, algorithm=""fricas"")","x \log\left(x\right)^{2} - 2 \, x \log\left(x\right) + 2 \, x"," ",0,"x*log(x)^2 - 2*x*log(x) + 2*x","A",0
58,1,13,0,0.446902," ","integrate(x*log(x),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} \log\left(x\right) - \frac{1}{4} \, x^{2}"," ",0,"1/2*x^2*log(x) - 1/4*x^2","A",0
59,1,22,0,0.428721," ","integrate(x*log(x)^2,x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} \log\left(x\right)^{2} - \frac{1}{2} \, x^{2} \log\left(x\right) + \frac{1}{4} \, x^{2}"," ",0,"1/2*x^2*log(x)^2 - 1/2*x^2*log(x) + 1/4*x^2","A",0
60,1,4,0,0.408336," ","integrate(1/(1+t),t, algorithm=""fricas"")","\log\left(t + 1\right)"," ",0,"log(t + 1)","A",0
61,1,11,0,0.462147," ","integrate(cot(x),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(-\frac{1}{2} \, \cos\left(2 \, x\right) + \frac{1}{2}\right)"," ",0,"1/2*log(-1/2*cos(2*x) + 1/2)","B",0
62,1,32,0,0.425501," ","integrate(x^n*log(a*x),x, algorithm=""fricas"")","\frac{{\left({\left(n + 1\right)} x \log\left(a\right) + {\left(n + 1\right)} x \log\left(x\right) - x\right)} x^{n}}{n^{2} + 2 \, n + 1}"," ",0,"((n + 1)*x*log(a) + (n + 1)*x*log(x) - x)*x^n/(n^2 + 2*n + 1)","A",0
63,1,22,0,0.438744," ","integrate(x^2*log(x)^2,x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} \log\left(x\right)^{2} - \frac{2}{9} \, x^{3} \log\left(x\right) + \frac{2}{27} \, x^{3}"," ",0,"1/3*x^3*log(x)^2 - 2/9*x^3*log(x) + 2/27*x^3","A",0
64,1,3,0,0.445691," ","integrate(1/x/log(x),x, algorithm=""fricas"")","\log\left(\log\left(x\right)\right)"," ",0,"log(log(x))","A",0
65,1,10,0,0.423315," ","integrate(log(1-t)/(1-t),t, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(-t + 1\right)^{2}"," ",0,"-1/2*log(-t + 1)^2","A",0
66,1,12,0,0.459087," ","integrate(log(x)/x/(1+log(x))^(1/2),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{\log\left(x\right) + 1} {\left(\log\left(x\right) - 2\right)}"," ",0,"2/3*sqrt(log(x) + 1)*(log(x) - 2)","A",0
67,1,31,0,0.437877," ","integrate(x^3*log(x)^3,x, algorithm=""fricas"")","\frac{1}{4} \, x^{4} \log\left(x\right)^{3} - \frac{3}{16} \, x^{4} \log\left(x\right)^{2} + \frac{3}{32} \, x^{4} \log\left(x\right) - \frac{3}{128} \, x^{4}"," ",0,"1/4*x^4*log(x)^3 - 3/16*x^4*log(x)^2 + 3/32*x^4*log(x) - 3/128*x^4","A",0
68,1,6,0,0.454015," ","integrate(exp(x^3)*x^2,x, algorithm=""fricas"")","\frac{1}{3} \, e^{\left(x^{3}\right)}"," ",0,"1/3*e^(x^3)","A",0
69,1,11,0,0.458295," ","integrate(2^(x^(1/2))/x^(1/2),x, algorithm=""fricas"")","\frac{2 \cdot 2^{\left(\sqrt{x}\right)}}{\log\left(2\right)}"," ",0,"2*2^sqrt(x)/log(2)","A",0
70,1,7,0,0.495076," ","integrate(exp(2*sin(x))*cos(x),x, algorithm=""fricas"")","\frac{1}{2} \, e^{\left(2 \, \sin\left(x\right)\right)}"," ",0,"1/2*e^(2*sin(x))","A",0
71,1,13,0,0.454207," ","integrate(exp(x)*sin(x),x, algorithm=""fricas"")","-\frac{1}{2} \, \cos\left(x\right) e^{x} + \frac{1}{2} \, e^{x} \sin\left(x\right)"," ",0,"-1/2*cos(x)*e^x + 1/2*e^x*sin(x)","A",0
72,1,13,0,0.484105," ","integrate(exp(x)*cos(x),x, algorithm=""fricas"")","\frac{1}{2} \, \cos\left(x\right) e^{x} + \frac{1}{2} \, e^{x} \sin\left(x\right)"," ",0,"1/2*cos(x)*e^x + 1/2*e^x*sin(x)","A",0
73,1,9,0,0.451585," ","integrate(1/(1+exp(x)),x, algorithm=""fricas"")","x - \log\left(e^{x} + 1\right)"," ",0,"x - log(e^x + 1)","A",0
74,1,6,0,0.408836," ","integrate(exp(x)*x,x, algorithm=""fricas"")","{\left(x - 1\right)} e^{x}"," ",0,"(x - 1)*e^x","A",0
75,1,9,0,0.471223," ","integrate(x/exp(x),x, algorithm=""fricas"")","-{\left(x + 1\right)} e^{\left(-x\right)}"," ",0,"-(x + 1)*e^(-x)","A",0
76,1,11,0,0.525637," ","integrate(exp(x)*x^2,x, algorithm=""fricas"")","{\left(x^{2} - 2 \, x + 2\right)} e^{x}"," ",0,"(x^2 - 2*x + 2)*e^x","A",0
77,1,16,0,0.460175," ","integrate(x^2/exp(2*x),x, algorithm=""fricas"")","-\frac{1}{4} \, {\left(2 \, x^{2} + 2 \, x + 1\right)} e^{\left(-2 \, x\right)}"," ",0,"-1/4*(2*x^2 + 2*x + 1)*e^(-2*x)","A",0
78,1,11,0,0.462671," ","integrate(exp(x^(1/2)),x, algorithm=""fricas"")","2 \, {\left(\sqrt{x} - 1\right)} e^{\sqrt{x}}"," ",0,"2*(sqrt(x) - 1)*e^sqrt(x)","A",0
79,1,13,0,0.460749," ","integrate(x^3/exp(x^2),x, algorithm=""fricas"")","-\frac{1}{2} \, {\left(x^{2} + 1\right)} e^{\left(-x^{2}\right)}"," ",0,"-1/2*(x^2 + 1)*e^(-x^2)","A",0
80,1,31,0,0.467317," ","integrate(exp(a*x)*cos(b*x),x, algorithm=""fricas"")","\frac{a \cos\left(b x\right) e^{\left(a x\right)} + b e^{\left(a x\right)} \sin\left(b x\right)}{a^{2} + b^{2}}"," ",0,"(a*cos(b*x)*e^(a*x) + b*e^(a*x)*sin(b*x))/(a^2 + b^2)","A",0
81,1,33,0,0.461055," ","integrate(exp(a*x)*sin(b*x),x, algorithm=""fricas"")","-\frac{b \cos\left(b x\right) e^{\left(a x\right)} - a e^{\left(a x\right)} \sin\left(b x\right)}{a^{2} + b^{2}}"," ",0,"-(b*cos(b*x)*e^(a*x) - a*e^(a*x)*sin(b*x))/(a^2 + b^2)","A",0
82,1,13,0,0.433671," ","integrate(arccot(x),x, algorithm=""fricas"")","x \operatorname{arccot}\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"x*arccot(x) + 1/2*log(x^2 + 1)","A",0
83,1,33,0,0.458284," ","integrate(arcsec(x),x, algorithm=""fricas"")","{\left(x - 2\right)} \operatorname{arcsec}\left(x\right) + 4 \, \arctan\left(-x + \sqrt{x^{2} - 1}\right) + \log\left(-x + \sqrt{x^{2} - 1}\right)"," ",0,"(x - 2)*arcsec(x) + 4*arctan(-x + sqrt(x^2 - 1)) + log(-x + sqrt(x^2 - 1))","A",0
84,1,35,0,0.477846," ","integrate(arccsc(x),x, algorithm=""fricas"")","{\left(x - 2\right)} \operatorname{arccsc}\left(x\right) - 4 \, \arctan\left(-x + \sqrt{x^{2} - 1}\right) - \log\left(-x + \sqrt{x^{2} - 1}\right)"," ",0,"(x - 2)*arccsc(x) - 4*arctan(-x + sqrt(x^2 - 1)) - log(-x + sqrt(x^2 - 1))","B",0
85,1,23,0,0.459471," ","integrate(arcsin(x)^2,x, algorithm=""fricas"")","x \arcsin\left(x\right)^{2} + 2 \, \sqrt{-x^{2} + 1} \arcsin\left(x\right) - 2 \, x"," ",0,"x*arcsin(x)^2 + 2*sqrt(-x^2 + 1)*arcsin(x) - 2*x","A",0
86,1,39,0,0.528155," ","integrate(arcsin(x)/x^2,x, algorithm=""fricas"")","-\frac{x \log\left(\sqrt{-x^{2} + 1} + 1\right) - x \log\left(\sqrt{-x^{2} + 1} - 1\right) + 2 \, \arcsin\left(x\right)}{2 \, x}"," ",0,"-1/2*(x*log(sqrt(-x^2 + 1) + 1) - x*log(sqrt(-x^2 + 1) - 1) + 2*arcsin(x))/x","A",0
87,1,23,0,0.448239," ","integrate(1/(a^2-x^2)^(1/2),x, algorithm=""fricas"")","-2 \, \arctan\left(-\frac{a - \sqrt{a^{2} - x^{2}}}{x}\right)"," ",0,"-2*arctan(-(a - sqrt(a^2 - x^2))/x)","A",0
88,1,21,0,0.453557," ","integrate(1/(-x^2-2*x+1)^(1/2),x, algorithm=""fricas"")","-2 \, \arctan\left(\frac{\sqrt{-x^{2} - 2 \, x + 1} - 1}{x}\right)"," ",0,"-2*arctan((sqrt(-x^2 - 2*x + 1) - 1)/x)","B",0
89,1,10,0,0.442357," ","integrate(1/(a^2+x^2),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{x}{a}\right)}{a}"," ",0,"arctan(x/a)/a","A",0
90,1,67,0,0.448258," ","integrate(1/(b*x^2+a),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{2 \, a b}, \frac{\sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{a b}\right]"," ",0,"[-1/2*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a))/(a*b), sqrt(a*b)*arctan(sqrt(a*b)*x/a)/(a*b)]","A",0
91,1,16,0,0.435515," ","integrate(1/(x^2-x+2),x, algorithm=""fricas"")","\frac{2}{7} \, \sqrt{7} \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(2 \, x - 1\right)}\right)"," ",0,"2/7*sqrt(7)*arctan(1/7*sqrt(7)*(2*x - 1))","A",0
92,1,13,0,0.765177," ","integrate(x*arctan(x),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(x^{2} + 1\right)} \arctan\left(x\right) - \frac{1}{2} \, x"," ",0,"1/2*(x^2 + 1)*arctan(x) - 1/2*x","A",0
93,1,24,0,0.487536," ","integrate(x^2*arccos(x),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} \arccos\left(x\right) - \frac{1}{9} \, {\left(x^{2} + 2\right)} \sqrt{-x^{2} + 1}"," ",0,"1/3*x^3*arccos(x) - 1/9*(x^2 + 2)*sqrt(-x^2 + 1)","A",0
94,1,25,0,0.495647," ","integrate(x*arctan(x)^2,x, algorithm=""fricas"")","\frac{1}{2} \, {\left(x^{2} + 1\right)} \arctan\left(x\right)^{2} - x \arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"1/2*(x^2 + 1)*arctan(x)^2 - x*arctan(x) + 1/2*log(x^2 + 1)","A",0
95,1,14,0,0.506626," ","integrate(arctan(x^(1/2)),x, algorithm=""fricas"")","{\left(x + 1\right)} \arctan\left(\sqrt{x}\right) - \sqrt{x}"," ",0,"(x + 1)*arctan(sqrt(x)) - sqrt(x)","A",0
96,1,6,0,0.477611," ","integrate(arctan(x^(1/2))/(1+x)/x^(1/2),x, algorithm=""fricas"")","\arctan\left(\sqrt{x}\right)^{2}"," ",0,"arctan(sqrt(x))^2","A",0
97,1,31,0,0.465393," ","integrate((-x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-x^{2} + 1} x - \arctan\left(\frac{\sqrt{-x^{2} + 1} - 1}{x}\right)"," ",0,"1/2*sqrt(-x^2 + 1)*x - arctan((sqrt(-x^2 + 1) - 1)/x)","A",0
98,1,15,0,0.469826," ","integrate(exp(arctan(x))*x/(x^2+1)^(3/2),x, algorithm=""fricas"")","\frac{{\left(x - 1\right)} e^{\arctan\left(x\right)}}{2 \, \sqrt{x^{2} + 1}}"," ",0,"1/2*(x - 1)*e^arctan(x)/sqrt(x^2 + 1)","A",0
99,1,15,0,0.494512," ","integrate(exp(arctan(x))/(x^2+1)^(3/2),x, algorithm=""fricas"")","\frac{{\left(x + 1\right)} e^{\arctan\left(x\right)}}{2 \, \sqrt{x^{2} + 1}}"," ",0,"1/2*(x + 1)*e^arctan(x)/sqrt(x^2 + 1)","A",0
100,1,21,0,0.440695," ","integrate(x^2/(x^2+1)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} + 1\right)} \arctan\left(x\right) - x}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"1/2*((x^2 + 1)*arctan(x) - x)/(x^2 + 1)","A",0
101,1,3,0,0.421989," ","integrate(exp(x)/(1+exp(2*x)),x, algorithm=""fricas"")","\arctan\left(e^{x}\right)"," ",0,"arctan(e^x)","A",0
102,1,28,0,0.491269," ","integrate(arccot(exp(x))/exp(x),x, algorithm=""fricas"")","-\frac{1}{2} \, {\left(2 \, x e^{x} - e^{x} \log\left(e^{\left(2 \, x\right)} + 1\right) + 2 \, \operatorname{arccot}\left(e^{x}\right)\right)} e^{\left(-x\right)}"," ",0,"-1/2*(2*x*e^x - e^x*log(e^(2*x) + 1) + 2*arccot(e^x))*e^(-x)","A",0
103,1,38,0,0.438475," ","integrate(((a+x)/(a-x))^(1/2),x, algorithm=""fricas"")","2 \, a \arctan\left(\sqrt{\frac{a + x}{a - x}}\right) - {\left(a - x\right)} \sqrt{\frac{a + x}{a - x}}"," ",0,"2*a*arctan(sqrt((a + x)/(a - x))) - (a - x)*sqrt((a + x)/(a - x))","A",0
104,1,80,0,0.498945," ","integrate(((b-x)*(-a+x))^(1/2),x, algorithm=""fricas"")","-\frac{1}{8} \, {\left(a^{2} - 2 \, a b + b^{2}\right)} \arctan\left(-\frac{\sqrt{-a b + {\left(a + b\right)} x - x^{2}} {\left(a + b - 2 \, x\right)}}{2 \, {\left(a b - {\left(a + b\right)} x + x^{2}\right)}}\right) - \frac{1}{4} \, \sqrt{-a b + {\left(a + b\right)} x - x^{2}} {\left(a + b - 2 \, x\right)}"," ",0,"-1/8*(a^2 - 2*a*b + b^2)*arctan(-1/2*sqrt(-a*b + (a + b)*x - x^2)*(a + b - 2*x)/(a*b - (a + b)*x + x^2)) - 1/4*sqrt(-a*b + (a + b)*x - x^2)*(a + b - 2*x)","A",0
105,1,43,0,0.466891," ","integrate(1/((b-x)*(-a+x))^(1/2),x, algorithm=""fricas"")","-\arctan\left(-\frac{\sqrt{-a b + {\left(a + b\right)} x - x^{2}} {\left(a + b - 2 \, x\right)}}{2 \, {\left(a b - {\left(a + b\right)} x + x^{2}\right)}}\right)"," ",0,"-arctan(-1/2*sqrt(-a*b + (a + b)*x - x^2)*(a + b - 2*x)/(a*b - (a + b)*x + x^2))","A",0
106,1,13,0,0.439107," ","integrate((3+5*x)/(x^2+2*x-3),x, algorithm=""fricas"")","3 \, \log\left(x + 3\right) + 2 \, \log\left(x - 1\right)"," ",0,"3*log(x + 3) + 2*log(x - 1)","A",0
107,1,13,0,0.420696," ","integrate((5+2*x)/(x^2+2*x-3),x, algorithm=""fricas"")","\frac{1}{4} \, \log\left(x + 3\right) + \frac{7}{4} \, \log\left(x - 1\right)"," ",0,"1/4*log(x + 3) + 7/4*log(x - 1)","A",0
108,1,19,0,0.449638," ","integrate((x^3+3*x)/(x^2-2*x-3),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} + 2 \, x + \log\left(x + 1\right) + 9 \, \log\left(x - 3\right)"," ",0,"1/2*x^2 + 2*x + log(x + 1) + 9*log(x - 3)","A",0
109,1,17,0,0.464139," ","integrate((2*x^2+5*x-1)/(x^3+x^2-2*x),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(x + 2\right) + 2 \, \log\left(x - 1\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"-1/2*log(x + 2) + 2*log(x - 1) + 1/2*log(x)","A",0
110,1,26,0,0.427663," ","integrate((x^2+2*x+3)/(-1+x)/(1+x)^2,x, algorithm=""fricas"")","-\frac{{\left(x + 1\right)} \log\left(x + 1\right) - 3 \, {\left(x + 1\right)} \log\left(x - 1\right) - 2}{2 \, {\left(x + 1\right)}}"," ",0,"-1/2*((x + 1)*log(x + 1) - 3*(x + 1)*log(x - 1) - 2)/(x + 1)","A",0
111,1,28,0,0.461927," ","integrate((3*x^2+2*x-2)/(x^3-1),x, algorithm=""fricas"")","\frac{4}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \log\left(x^{2} + x + 1\right) + \log\left(x - 1\right)"," ",0,"4/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + log(x^2 + x + 1) + log(x - 1)","A",0
112,1,51,0,0.423247," ","integrate((x^4-x^3+2*x^2-x+2)/(-1+x)/(x^2+2)^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left(x^{2} + 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 2 \, {\left(x^{2} + 2\right)} \log\left(x^{2} + 2\right) - 2 \, {\left(x^{2} + 2\right)} \log\left(x - 1\right) - 3}{6 \, {\left(x^{2} + 2\right)}}"," ",0,"-1/6*(sqrt(2)*(x^2 + 2)*arctan(1/2*sqrt(2)*x) - 2*(x^2 + 2)*log(x^2 + 2) - 2*(x^2 + 2)*log(x - 1) - 3)/(x^2 + 2)","A",0
113,1,38,0,0.447253," ","integrate(1/(cos(x)+sin(x)),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{2 \, {\left(\sqrt{2} - \cos\left(x\right)\right)} \sin\left(x\right) - 2 \, \sqrt{2} \cos\left(x\right) + 3}{2 \, \cos\left(x\right) \sin\left(x\right) + 1}\right)"," ",0,"1/4*sqrt(2)*log((2*(sqrt(2) - cos(x))*sin(x) - 2*sqrt(2)*cos(x) + 3)/(2*cos(x)*sin(x) + 1))","B",0
114,1,55,0,0.429280," ","integrate(x/(4-x^2+(-x^2+4)^(1/2)),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(x^{2} - 3\right) + \frac{1}{2} \, \log\left(-\frac{x^{2} + 3 \, \sqrt{-x^{2} + 4} - 6}{x^{2}}\right) - \frac{1}{2} \, \log\left(-\frac{x^{2} + \sqrt{-x^{2} + 4} - 2}{x^{2}}\right)"," ",0,"-1/2*log(x^2 - 3) + 1/2*log(-(x^2 + 3*sqrt(-x^2 + 4) - 6)/x^2) - 1/2*log(-(x^2 + sqrt(-x^2 + 4) - 2)/x^2)","B",0
115,1,9,0,0.444307," ","integrate((3+2*x)/(-2+x)/(5+x),x, algorithm=""fricas"")","\log\left(x^{2} + 3 \, x - 10\right)"," ",0,"log(x^2 + 3*x - 10)","A",0
116,1,19,0,0.442447," ","integrate(x/(1+x)/(2+x)/(3+x),x, algorithm=""fricas"")","-\frac{3}{2} \, \log\left(x + 3\right) + 2 \, \log\left(x + 2\right) - \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"-3/2*log(x + 3) + 2*log(x + 2) - 1/2*log(x + 1)","A",0
117,1,27,0,0.640075," ","integrate(x/(x^3-3*x+2),x, algorithm=""fricas"")","-\frac{2 \, {\left(x - 1\right)} \log\left(x + 2\right) - 2 \, {\left(x - 1\right)} \log\left(x - 1\right) + 3}{9 \, {\left(x - 1\right)}}"," ",0,"-1/9*(2*(x - 1)*log(x + 2) - 2*(x - 1)*log(x - 1) + 3)/(x - 1)","A",0
118,1,23,0,0.427046," ","integrate((x^4+2*x-6)/(x^3+x^2-2*x),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - x + \log\left(x + 2\right) - \log\left(x - 1\right) + 3 \, \log\left(x\right)"," ",0,"1/2*x^2 - x + log(x + 2) - log(x - 1) + 3*log(x)","A",0
119,1,32,0,0.407148," ","integrate((8*x^3+7)/(1+x)/(1+2*x)^3,x, algorithm=""fricas"")","\frac{{\left(4 \, x^{2} + 4 \, x + 1\right)} \log\left(x + 1\right) + 6 \, x}{4 \, x^{2} + 4 \, x + 1}"," ",0,"((4*x^2 + 4*x + 1)*log(x + 1) + 6*x)/(4*x^2 + 4*x + 1)","A",0
120,1,14,0,0.436810," ","integrate((4*x^2+x+1)/(x^3-1),x, algorithm=""fricas"")","\log\left(x^{2} + x + 1\right) + 2 \, \log\left(x - 1\right)"," ",0,"log(x^2 + x + 1) + 2*log(x - 1)","A",0
121,1,12,0,0.426305," ","integrate(x^4/(x^4+5*x^2+4),x, algorithm=""fricas"")","x - \frac{8}{3} \, \arctan\left(\frac{1}{2} \, x\right) + \frac{1}{3} \, \arctan\left(x\right)"," ",0,"x - 8/3*arctan(1/2*x) + 1/3*arctan(x)","A",0
122,1,11,0,0.437689," ","integrate((2+x)/(x^2+x),x, algorithm=""fricas"")","-\log\left(x + 1\right) + 2 \, \log\left(x\right)"," ",0,"-log(x + 1) + 2*log(x)","A",0
123,1,32,0,0.443213," ","integrate(1/x/(x^2+1)^2,x, algorithm=""fricas"")","-\frac{{\left(x^{2} + 1\right)} \log\left(x^{2} + 1\right) - 2 \, {\left(x^{2} + 1\right)} \log\left(x\right) - 1}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"-1/2*((x^2 + 1)*log(x^2 + 1) - 2*(x^2 + 1)*log(x) - 1)/(x^2 + 1)","A",0
124,1,83,0,0.466548," ","integrate(1/(1+x)/(2+x)^2/(3+x)^3,x, algorithm=""fricas"")","\frac{18 \, x^{2} - 17 \, {\left(x^{3} + 8 \, x^{2} + 21 \, x + 18\right)} \log\left(x + 3\right) + 16 \, {\left(x^{3} + 8 \, x^{2} + 21 \, x + 18\right)} \log\left(x + 2\right) + {\left(x^{3} + 8 \, x^{2} + 21 \, x + 18\right)} \log\left(x + 1\right) + 100 \, x + 136}{8 \, {\left(x^{3} + 8 \, x^{2} + 21 \, x + 18\right)}}"," ",0,"1/8*(18*x^2 - 17*(x^3 + 8*x^2 + 21*x + 18)*log(x + 3) + 16*(x^3 + 8*x^2 + 21*x + 18)*log(x + 2) + (x^3 + 8*x^2 + 21*x + 18)*log(x + 1) + 100*x + 136)/(x^3 + 8*x^2 + 21*x + 18)","B",0
125,1,16,0,0.451286," ","integrate(x/(1+x)^2,x, algorithm=""fricas"")","\frac{{\left(x + 1\right)} \log\left(x + 1\right) + 1}{x + 1}"," ",0,"((x + 1)*log(x + 1) + 1)/(x + 1)","A",0
126,1,13,0,0.486456," ","integrate(1/(x^3-x),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(x^{2} - 1\right) - \log\left(x\right)"," ",0,"1/2*log(x^2 - 1) - log(x)","A",0
127,1,14,0,0.447704," ","integrate(x^2/(x^2+x-6),x, algorithm=""fricas"")","x - \frac{9}{5} \, \log\left(x + 3\right) + \frac{4}{5} \, \log\left(x - 2\right)"," ",0,"x - 9/5*log(x + 3) + 4/5*log(x - 2)","A",0
128,1,16,0,0.447468," ","integrate((2+x)/(x^2-4*x+4),x, algorithm=""fricas"")","\frac{{\left(x - 2\right)} \log\left(x - 2\right) - 4}{x - 2}"," ",0,"((x - 2)*log(x - 2) - 4)/(x - 2)","A",0
129,1,17,0,0.449713," ","integrate(1/(x^2-4*x+4)/(x^2-4*x+5),x, algorithm=""fricas"")","-\frac{{\left(x - 2\right)} \arctan\left(x - 2\right) + 1}{x - 2}"," ",0,"-((x - 2)*arctan(x - 2) + 1)/(x - 2)","A",0
130,1,17,0,0.451844," ","integrate((-3+x)/(x^3+3*x^2+2*x),x, algorithm=""fricas"")","-\frac{5}{2} \, \log\left(x + 2\right) + 4 \, \log\left(x + 1\right) - \frac{3}{2} \, \log\left(x\right)"," ",0,"-5/2*log(x + 2) + 4*log(x + 1) - 3/2*log(x)","A",0
131,1,34,0,0.428986," ","integrate(1/(x^2-1)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} - 1\right)} \log\left(x + 1\right) - {\left(x^{2} - 1\right)} \log\left(x - 1\right) - 2 \, x}{4 \, {\left(x^{2} - 1\right)}}"," ",0,"1/4*((x^2 - 1)*log(x + 1) - (x^2 - 1)*log(x - 1) - 2*x)/(x^2 - 1)","B",0
132,1,16,0,0.457380," ","integrate((1+x)/(x^3-1),x, algorithm=""fricas"")","-\frac{1}{3} \, \log\left(x^{2} + x + 1\right) + \frac{2}{3} \, \log\left(x - 1\right)"," ",0,"-1/3*log(x^2 + x + 1) + 2/3*log(x - 1)","A",0
133,1,18,0,0.421170," ","integrate((x^4+1)/x/(x^2+1)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} + 1\right)} \log\left(x\right) + 1}{x^{2} + 1}"," ",0,"((x^2 + 1)*log(x) + 1)/(x^2 + 1)","A",0
134,1,25,0,0.442188," ","integrate(1/(x^4-2*x^3),x, algorithm=""fricas"")","\frac{x^{2} \log\left(x - 2\right) - x^{2} \log\left(x\right) + 2 \, x + 2}{8 \, x^{2}}"," ",0,"1/8*(x^2*log(x - 2) - x^2*log(x) + 2*x + 2)/x^2","A",0
135,1,16,0,0.440958," ","integrate((-x^3+1)/x/(x^2+1),x, algorithm=""fricas"")","-x + \arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right) + \log\left(x\right)"," ",0,"-x + arctan(x) - 1/2*log(x^2 + 1) + log(x)","A",0
136,1,17,0,0.437316," ","integrate(1/(x^4-1),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{4} \, \log\left(x + 1\right) + \frac{1}{4} \, \log\left(x - 1\right)"," ",0,"-1/2*arctan(x) - 1/4*log(x + 1) + 1/4*log(x - 1)","A",0
137,1,95,0,0.448212," ","integrate(1/(x^4+1),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(-\sqrt{2} x + \sqrt{2} \sqrt{x^{2} + \sqrt{2} x + 1} - 1\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(-\sqrt{2} x + \sqrt{2} \sqrt{x^{2} - \sqrt{2} x + 1} + 1\right) + \frac{1}{8} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) - \frac{1}{8} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right)"," ",0,"-1/2*sqrt(2)*arctan(-sqrt(2)*x + sqrt(2)*sqrt(x^2 + sqrt(2)*x + 1) - 1) - 1/2*sqrt(2)*arctan(-sqrt(2)*x + sqrt(2)*sqrt(x^2 - sqrt(2)*x + 1) + 1) + 1/8*sqrt(2)*log(x^2 + sqrt(2)*x + 1) - 1/8*sqrt(2)*log(x^2 - sqrt(2)*x + 1)","A",0
138,1,26,0,0.402327," ","integrate(x^2/(x^2+2*x+2)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} + 2 \, x + 2\right)} \arctan\left(x + 1\right) + 1}{x^{2} + 2 \, x + 2}"," ",0,"((x^2 + 2*x + 2)*arctan(x + 1) + 1)/(x^2 + 2*x + 2)","A",0
139,1,11,0,0.404152," ","integrate((4*x^5-1)/(x^5+x+1)^2,x, algorithm=""fricas"")","-\frac{x}{x^{5} + x + 1}"," ",0,"-x/(x^5 + x + 1)","A",0
140,1,36,0,0.452713," ","integrate(1/(5-cos(x)+2*sin(x)),x, algorithm=""fricas"")","\frac{1}{10} \, \sqrt{5} \arctan\left(-\frac{\sqrt{5} \cos\left(x\right) - 2 \, \sqrt{5} \sin\left(x\right) - \sqrt{5}}{2 \, {\left(2 \, \cos\left(x\right) + \sin\left(x\right)\right)}}\right)"," ",0,"1/10*sqrt(5)*arctan(-1/2*(sqrt(5)*cos(x) - 2*sqrt(5)*sin(x) - sqrt(5))/(2*cos(x) + sin(x)))","A",0
141,1,111,0,0.468456," ","integrate(1/(1+a*cos(x)),x, algorithm=""fricas"")","\left[\frac{\log\left(-\frac{{\left(a^{2} - 2\right)} \cos\left(x\right)^{2} - 2 \, \sqrt{a^{2} - 1} {\left(a + \cos\left(x\right)\right)} \sin\left(x\right) - 2 \, a^{2} - 2 \, a \cos\left(x\right) + 1}{a^{2} \cos\left(x\right)^{2} + 2 \, a \cos\left(x\right) + 1}\right)}{2 \, \sqrt{a^{2} - 1}}, -\frac{\sqrt{-a^{2} + 1} \arctan\left(\frac{\sqrt{-a^{2} + 1} {\left(a + \cos\left(x\right)\right)}}{{\left(a^{2} - 1\right)} \sin\left(x\right)}\right)}{a^{2} - 1}\right]"," ",0,"[1/2*log(-((a^2 - 2)*cos(x)^2 - 2*sqrt(a^2 - 1)*(a + cos(x))*sin(x) - 2*a^2 - 2*a*cos(x) + 1)/(a^2*cos(x)^2 + 2*a*cos(x) + 1))/sqrt(a^2 - 1), -sqrt(-a^2 + 1)*arctan(sqrt(-a^2 + 1)*(a + cos(x))/((a^2 - 1)*sin(x)))/(a^2 - 1)]","A",0
142,1,50,0,0.481522," ","integrate(1/(1+2*cos(x)),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \log\left(-\frac{2 \, \cos\left(x\right)^{2} - 2 \, {\left(\sqrt{3} \cos\left(x\right) + 2 \, \sqrt{3}\right)} \sin\left(x\right) - 4 \, \cos\left(x\right) - 7}{4 \, \cos\left(x\right)^{2} + 4 \, \cos\left(x\right) + 1}\right)"," ",0,"1/6*sqrt(3)*log(-(2*cos(x)^2 - 2*(sqrt(3)*cos(x) + 2*sqrt(3))*sin(x) - 4*cos(x) - 7)/(4*cos(x)^2 + 4*cos(x) + 1))","A",0
143,1,23,0,0.501519," ","integrate(1/(1+1/2*cos(x)),x, algorithm=""fricas"")","-\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{2 \, \sqrt{3} \cos\left(x\right) + \sqrt{3}}{3 \, \sin\left(x\right)}\right)"," ",0,"-2/3*sqrt(3)*arctan(1/3*(2*sqrt(3)*cos(x) + sqrt(3))/sin(x))","A",0
144,1,33,0,0.482570," ","integrate(sin(x)^2/(1+sin(x)^2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{3 \, \sqrt{2} \cos\left(x\right)^{2} - 2 \, \sqrt{2}}{4 \, \cos\left(x\right) \sin\left(x\right)}\right) + x"," ",0,"1/4*sqrt(2)*arctan(1/4*(3*sqrt(2)*cos(x)^2 - 2*sqrt(2))/(cos(x)*sin(x))) + x","A",0
145,1,43,0,0.498118," ","integrate(1/(b^2*cos(x)^2+a^2*sin(x)^2),x, algorithm=""fricas"")","-\frac{\arctan\left(\frac{{\left(a^{2} + b^{2}\right)} \cos\left(x\right)^{2} - a^{2}}{2 \, a b \cos\left(x\right) \sin\left(x\right)}\right)}{2 \, a b}"," ",0,"-1/2*arctan(1/2*((a^2 + b^2)*cos(x)^2 - a^2)/(a*b*cos(x)*sin(x)))/(a*b)","B",0
146,1,39,0,0.588988," ","integrate(1/(b*cos(x)+a*sin(x))^2,x, algorithm=""fricas"")","-\frac{a \cos\left(x\right) - b \sin\left(x\right)}{{\left(a^{2} b + b^{3}\right)} \cos\left(x\right) + {\left(a^{3} + a b^{2}\right)} \sin\left(x\right)}"," ",0,"-(a*cos(x) - b*sin(x))/((a^2*b + b^3)*cos(x) + (a^3 + a*b^2)*sin(x))","B",0
147,1,11,0,0.552634," ","integrate(sin(x)/(1+cos(x)+sin(x)),x, algorithm=""fricas"")","\frac{1}{2} \, x - \frac{1}{2} \, \log\left(\sin\left(x\right) + 1\right)"," ",0,"1/2*x - 1/2*log(sin(x) + 1)","A",0
148,1,29,0,0.544791," ","integrate((-x^2+3)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-x^{2} + 3} x - \frac{3}{2} \, \arctan\left(\frac{\sqrt{-x^{2} + 3}}{x}\right)"," ",0,"1/2*sqrt(-x^2 + 3)*x - 3/2*arctan(sqrt(-x^2 + 3)/x)","A",0
149,1,11,0,0.609756," ","integrate(x/(-x^2+3)^(1/2),x, algorithm=""fricas"")","-\sqrt{-x^{2} + 3}"," ",0,"-sqrt(-x^2 + 3)","A",0
150,1,40,0,0.647556," ","integrate((-x^2+3)^(1/2)/x,x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{3} \log\left(-\frac{x^{2} + 2 \, \sqrt{3} \sqrt{-x^{2} + 3} - 6}{x^{2}}\right) + \sqrt{-x^{2} + 3}"," ",0,"1/2*sqrt(3)*log(-(x^2 + 2*sqrt(3)*sqrt(-x^2 + 3) - 6)/x^2) + sqrt(-x^2 + 3)","A",0
151,1,25,0,0.467003," ","integrate((x^2+x)^(1/2)/x,x, algorithm=""fricas"")","\sqrt{x^{2} + x} - \frac{1}{2} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} + x} - 1\right)"," ",0,"sqrt(x^2 + x) - 1/2*log(-2*x + 2*sqrt(x^2 + x) - 1)","A",0
152,1,25,0,0.668182," ","integrate((x^2+5)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{x^{2} + 5} x - \frac{5}{2} \, \log\left(-x + \sqrt{x^{2} + 5}\right)"," ",0,"1/2*sqrt(x^2 + 5)*x - 5/2*log(-x + sqrt(x^2 + 5))","A",0
153,1,27,0,0.809047," ","integrate(x/(x^2+x+1)^(1/2),x, algorithm=""fricas"")","\sqrt{x^{2} + x + 1} + \frac{1}{2} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} + x + 1} - 1\right)"," ",0,"sqrt(x^2 + x + 1) + 1/2*log(-2*x + 2*sqrt(x^2 + x + 1) - 1)","A",0
154,1,17,0,0.690717," ","integrate(1/(x^2+x)^(1/2),x, algorithm=""fricas"")","-\log\left(-2 \, x + 2 \, \sqrt{x^{2} + x} - 1\right)"," ",0,"-log(-2*x + 2*sqrt(x^2 + x) - 1)","A",0
155,1,92,0,0.587403," ","integrate((-x^2-x+2)^(1/2)/x^2,x, algorithm=""fricas"")","\frac{\sqrt{2} x \log\left(-\frac{4 \, \sqrt{2} \sqrt{-x^{2} - x + 2} {\left(x - 4\right)} + 7 \, x^{2} + 16 \, x - 32}{x^{2}}\right) + 8 \, x \arctan\left(\frac{\sqrt{-x^{2} - x + 2} {\left(2 \, x + 1\right)}}{2 \, {\left(x^{2} + x - 2\right)}}\right) - 8 \, \sqrt{-x^{2} - x + 2}}{8 \, x}"," ",0,"1/8*(sqrt(2)*x*log(-(4*sqrt(2)*sqrt(-x^2 - x + 2)*(x - 4) + 7*x^2 + 16*x - 32)/x^2) + 8*x*arctan(1/2*sqrt(-x^2 - x + 2)*(2*x + 1)/(x^2 + x - 2)) - 8*sqrt(-x^2 - x + 2))/x","A",0
156,0,0,0,0.653711," ","integrate(log(t)/(1+t),t, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(t\right)}{t + 1}, t\right)"," ",0,"integral(log(t)/(t + 1), t)","F",0
157,1,2,0,0.603702," ","integrate(log(exp(cos(x))),x, algorithm=""fricas"")","\sin\left(x\right)"," ",0,"sin(x)","A",0
158,1,2,0,0.632886," ","integrate(exp(t)/t,t, algorithm=""fricas"")","{\rm Ei}\left(t\right)"," ",0,"Ei(t)","A",0
159,1,4,0,0.700999," ","integrate(exp(a*t)/t,t, algorithm=""fricas"")","{\rm Ei}\left(a t\right)"," ",0,"Ei(a*t)","A",0
160,1,13,0,0.620208," ","integrate(exp(t)/t^2,t, algorithm=""fricas"")","\frac{t {\rm Ei}\left(t\right) - e^{t}}{t}"," ",0,"(t*Ei(t) - e^t)/t","A",0
161,1,13,0,0.613304," ","integrate(exp(1/t),t, algorithm=""fricas"")","t e^{\frac{1}{t}} - {\rm Ei}\left(\frac{1}{t}\right)"," ",0,"t*e^(1/t) - Ei(1/t)","A",0
162,1,14,0,0.589012," ","integrate(1/exp(t)/(-1-a+t),t, algorithm=""fricas"")","{\rm Ei}\left(a - t + 1\right) e^{\left(-a - 1\right)}"," ",0,"Ei(a - t + 1)*e^(-a - 1)","A",0
163,1,10,0,0.591394," ","integrate(exp(t^2)*t/(t^2+1),t, algorithm=""fricas"")","\frac{1}{2} \, {\rm Ei}\left(t^{2} + 1\right) e^{\left(-1\right)}"," ",0,"1/2*Ei(t^2 + 1)*e^(-1)","A",0
164,1,23,0,0.605008," ","integrate(exp(t)/(1+t)^2,t, algorithm=""fricas"")","\frac{{\left({\left(t + 1\right)} {\rm Ei}\left(t + 1\right) - e^{\left(t + 1\right)}\right)} e^{\left(-1\right)}}{t + 1}"," ",0,"((t + 1)*Ei(t + 1) - e^(t + 1))*e^(-1)/(t + 1)","A",0
165,1,19,0,0.772399," ","integrate(exp(t)*log(1+t),t, algorithm=""fricas"")","{\left(e^{\left(t + 1\right)} \log\left(t + 1\right) - {\rm Ei}\left(t + 1\right)\right)} e^{\left(-1\right)}"," ",0,"(e^(t + 1)*log(t + 1) - Ei(t + 1))*e^(-1)","A",0
166,1,9,0,0.666321," ","integrate(t/exp(t),t, algorithm=""fricas"")","-{\left(t + 1\right)} e^{\left(-t\right)}"," ",0,"-(t + 1)*e^(-t)","A",0
167,1,14,0,0.722710," ","integrate(t^2/exp(t),t, algorithm=""fricas"")","-{\left(t^{2} + 2 \, t + 2\right)} e^{\left(-t\right)}"," ",0,"-(t^2 + 2*t + 2)*e^(-t)","A",0
168,1,19,0,0.819990," ","integrate(t^3/exp(t),t, algorithm=""fricas"")","-{\left(t^{3} + 3 \, t^{2} + 6 \, t + 6\right)} e^{\left(-t\right)}"," ",0,"-(t^3 + 3*t^2 + 6*t + 6)*e^(-t)","A",0
169,1,60,0,0.831851," ","integrate((b1*cos(x)+a1*sin(x))/(b*cos(x)+a*sin(x)),x, algorithm=""fricas"")","\frac{2 \, {\left(a a_{1} + b b_{1}\right)} x - {\left(a_{1} b - a b_{1}\right)} \log\left(2 \, a b \cos\left(x\right) \sin\left(x\right) - {\left(a^{2} - b^{2}\right)} \cos\left(x\right)^{2} + a^{2}\right)}{2 \, {\left(a^{2} + b^{2}\right)}}"," ",0,"1/2*(2*(a*a1 + b*b1)*x - (a1*b - a*b1)*log(2*a*b*cos(x)*sin(x) - (a^2 - b^2)*cos(x)^2 + a^2))/(a^2 + b^2)","A",0
170,1,2,0,0.614569," ","integrate(1/log(t),t, algorithm=""fricas"")","\operatorname{log\_integral}\left(t\right)"," ",0,"log_integral(t)","A",0
171,1,14,0,0.890758," ","integrate(1/log(t)^2,t, algorithm=""fricas"")","\frac{\log\left(t\right) \operatorname{log\_integral}\left(t\right) - t}{\log\left(t\right)}"," ",0,"(log(t)*log_integral(t) - t)/log(t)","A",0
172,1,15,0,0.810076," ","integrate(log(t)^(-1-n),t, algorithm=""fricas"")","\cos\left(\pi + \pi n\right) \Gamma\left(-n, -\log\left(t\right)\right)"," ",0,"cos(pi + pi*n)*gamma(-n, -log(t))","A",0
173,1,9,0,0.667101," ","integrate(exp(2*t)/(-1+t),t, algorithm=""fricas"")","{\rm Ei}\left(2 \, t - 2\right) e^{2}"," ",0,"Ei(2*t - 2)*e^2","A",0
174,1,20,0,0.623065," ","integrate(exp(2*x)/(x^2-3*x+2),x, algorithm=""fricas"")","{\rm Ei}\left(2 \, x - 4\right) e^{4} - {\rm Ei}\left(2 \, x - 2\right) e^{2}"," ",0,"Ei(2*x - 4)*e^4 - Ei(2*x - 2)*e^2","A",0
175,0,0,0,0.714096," ","integrate(1/(t^3+1)^(1/2),t, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sqrt{t^{3} + 1}}, t\right)"," ",0,"integral(1/sqrt(t^3 + 1), t)","F",0
