1,1,10,0,1.098073," ","integrate(x^n,x, algorithm=""fricas"")","\frac{x x^{n}}{n + 1}"," ",0,"x*x^n/(n + 1)","A",0
2,1,2,0,0.849368," ","integrate(exp(x),x, algorithm=""fricas"")","e^{x}"," ",0,"e^x","A",0
3,1,2,0,0.999385," ","integrate(1/x,x, algorithm=""fricas"")","\log\left(x\right)"," ",0,"log(x)","A",0
4,1,8,0,1.091077," ","integrate(a^x,x, algorithm=""fricas"")","\frac{a^{x}}{\log\left(a\right)}"," ",0,"a^x/log(a)","A",0
5,1,4,0,1.097735," ","integrate(sin(x),x, algorithm=""fricas"")","-\cos\left(x\right)"," ",0,"-cos(x)","A",0
6,1,2,0,1.007747," ","integrate(cos(x),x, algorithm=""fricas"")","\sin\left(x\right)"," ",0,"sin(x)","A",0
7,1,7,0,0.983522," ","integrate(sec(x)^2,x, algorithm=""fricas"")","\frac{\sin\left(x\right)}{\cos\left(x\right)}"," ",0,"sin(x)/cos(x)","B",0
8,1,8,0,0.766932," ","integrate(csc(x)^2,x, algorithm=""fricas"")","-\frac{\cos\left(x\right)}{\sin\left(x\right)}"," ",0,"-cos(x)/sin(x)","A",0
9,1,4,0,0.680643," ","integrate(sec(x)*tan(x),x, algorithm=""fricas"")","\frac{1}{\cos\left(x\right)}"," ",0,"1/cos(x)","A",0
10,1,6,0,1.152301," ","integrate(cot(x)*csc(x),x, algorithm=""fricas"")","-\frac{1}{\sin\left(x\right)}"," ",0,"-1/sin(x)","A",0
11,1,2,0,0.792072," ","integrate(sinh(x),x, algorithm=""fricas"")","\cosh\left(x\right)"," ",0,"cosh(x)","A",0
12,1,2,0,0.912980," ","integrate(cosh(x),x, algorithm=""fricas"")","\sinh\left(x\right)"," ",0,"sinh(x)","A",0
13,1,11,0,0.957820," ","integrate(tan(x),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(\frac{1}{\tan\left(x\right)^{2} + 1}\right)"," ",0,"-1/2*log(1/(tan(x)^2 + 1))","B",0
14,1,11,0,0.797937," ","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
15,1,8,0,0.748595," ","integrate(x*sin(x),x, algorithm=""fricas"")","-x \cos\left(x\right) + \sin\left(x\right)"," ",0,"-x*cos(x) + sin(x)","A",0
16,1,8,0,0.987301," ","integrate(log(x),x, algorithm=""fricas"")","x \log\left(x\right) - x"," ",0,"x*log(x) - x","A",0
17,1,11,0,0.881053," ","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
18,1,13,0,0.885200," ","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
19,1,13,0,0.998127," ","integrate(arctan(x),x, algorithm=""fricas"")","x \arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"x*arctan(x) - 1/2*log(x^2 + 1)","A",0
20,1,11,0,0.833313," ","integrate(exp(2*x)*x,x, algorithm=""fricas"")","\frac{1}{4} \, {\left(2 \, x - 1\right)} e^{\left(2 \, x\right)}"," ",0,"1/4*(2*x - 1)*e^(2*x)","A",0
21,1,7,0,0.934318," ","integrate(x*cos(x),x, algorithm=""fricas"")","x \sin\left(x\right) + \cos\left(x\right)"," ",0,"x*sin(x) + cos(x)","A",0
22,1,14,0,0.893397," ","integrate(x*sin(4*x),x, algorithm=""fricas"")","-\frac{1}{4} \, x \cos\left(4 \, x\right) + \frac{1}{16} \, \sin\left(4 \, x\right)"," ",0,"-1/4*x*cos(4*x) + 1/16*sin(4*x)","A",0
23,1,13,0,0.972955," ","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
24,1,21,0,0.595176," ","integrate(x^2*cos(3*x),x, algorithm=""fricas"")","\frac{2}{9} \, x \cos\left(3 \, x\right) + \frac{1}{27} \, {\left(9 \, x^{2} - 2\right)} \sin\left(3 \, x\right)"," ",0,"2/9*x*cos(3*x) + 1/27*(9*x^2 - 2)*sin(3*x)","A",0
25,1,21,0,0.953480," ","integrate(x^2*sin(2*x),x, algorithm=""fricas"")","-\frac{1}{4} \, {\left(2 \, x^{2} - 1\right)} \cos\left(2 \, x\right) + \frac{1}{2} \, x \sin\left(2 \, x\right)"," ",0,"-1/4*(2*x^2 - 1)*cos(2*x) + 1/2*x*sin(2*x)","A",0
26,1,15,0,0.809481," ","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
27,1,14,0,0.954306," ","integrate(arcsin(x),x, algorithm=""fricas"")","x \arcsin\left(x\right) + \sqrt{-x^{2} + 1}"," ",0,"x*arcsin(x) + sqrt(-x^2 + 1)","A",0
28,1,17,0,1.041158," ","integrate(t*cos(t)*sin(t),t, algorithm=""fricas"")","-\frac{1}{2} \, t \cos\left(t\right)^{2} + \frac{1}{4} \, \cos\left(t\right) \sin\left(t\right) + \frac{1}{4} \, t"," ",0,"-1/2*t*cos(t)^2 + 1/4*cos(t)*sin(t) + 1/4*t","A",0
29,1,18,0,1.019922," ","integrate(t*sec(t)^2,t, algorithm=""fricas"")","\frac{\cos\left(t\right) \log\left(-\cos\left(t\right)\right) + t \sin\left(t\right)}{\cos\left(t\right)}"," ",0,"(cos(t)*log(-cos(t)) + t*sin(t))/cos(t)","B",0
30,1,13,0,0.687410," ","integrate(t^2*log(t),t, algorithm=""fricas"")","\frac{1}{3} \, t^{3} \log\left(t\right) - \frac{1}{9} \, t^{3}"," ",0,"1/3*t^3*log(t) - 1/9*t^3","A",0
31,1,16,0,0.923337," ","integrate(exp(t)*t^3,t, algorithm=""fricas"")","{\left(t^{3} - 3 \, t^{2} + 6 \, t - 6\right)} e^{t}"," ",0,"(t^3 - 3*t^2 + 6*t - 6)*e^t","A",0
32,1,21,0,0.857744," ","integrate(exp(2*t)*sin(3*t),t, algorithm=""fricas"")","-\frac{3}{13} \, \cos\left(3 \, t\right) e^{\left(2 \, t\right)} + \frac{2}{13} \, e^{\left(2 \, t\right)} \sin\left(3 \, t\right)"," ",0,"-3/13*cos(3*t)*e^(2*t) + 2/13*e^(2*t)*sin(3*t)","A",0
33,1,21,0,0.864322," ","integrate(cos(3*t)/exp(t),t, algorithm=""fricas"")","-\frac{1}{10} \, \cos\left(3 \, t\right) e^{\left(-t\right)} + \frac{3}{10} \, e^{\left(-t\right)} \sin\left(3 \, t\right)"," ",0,"-1/10*cos(3*t)*e^(-t) + 3/10*e^(-t)*sin(3*t)","A",0
34,1,9,0,0.945386," ","integrate(y*sinh(y),y, algorithm=""fricas"")","y \cosh\left(y\right) - \sinh\left(y\right)"," ",0,"y*cosh(y) - sinh(y)","A",0
35,1,18,0,0.571332," ","integrate(y*cosh(a*y),y, algorithm=""fricas"")","\frac{a y \sinh\left(a y\right) - \cosh\left(a y\right)}{a^{2}}"," ",0,"(a*y*sinh(a*y) - cosh(a*y))/a^2","A",0
36,1,9,0,0.534666," ","integrate(t/exp(t),t, algorithm=""fricas"")","-{\left(t + 1\right)} e^{\left(-t\right)}"," ",0,"-(t + 1)*e^(-t)","A",0
37,1,14,0,0.938450," ","integrate(log(t)*t^(1/2),t, algorithm=""fricas"")","\frac{2}{9} \, {\left(3 \, t \log\left(t\right) - 2 \, t\right)} \sqrt{t}"," ",0,"2/9*(3*t*log(t) - 2*t)*sqrt(t)","A",0
38,1,14,0,0.996380," ","integrate(x*cos(2*x),x, algorithm=""fricas"")","\frac{1}{2} \, x \sin\left(2 \, x\right) + \frac{1}{4} \, \cos\left(2 \, x\right)"," ",0,"1/2*x*sin(2*x) + 1/4*cos(2*x)","A",0
39,1,14,0,0.916633," ","integrate(x^2/exp(x),x, algorithm=""fricas"")","-{\left(x^{2} + 2 \, x + 2\right)} e^{\left(-x\right)}"," ",0,"-(x^2 + 2*x + 2)*e^(-x)","A",0
40,1,16,0,1.010286," ","integrate(arccos(x),x, algorithm=""fricas"")","x \arccos\left(x\right) - \sqrt{-x^{2} + 1}"," ",0,"x*arccos(x) - sqrt(-x^2 + 1)","A",0
41,1,20,0,0.600295," ","integrate(x*csc(x)^2,x, algorithm=""fricas"")","-\frac{x \cos\left(x\right) - \log\left(\frac{1}{2} \, \sin\left(x\right)\right) \sin\left(x\right)}{\sin\left(x\right)}"," ",0,"-(x*cos(x) - log(1/2*sin(x))*sin(x))/sin(x)","B",0
42,1,25,0,0.848115," ","integrate(cos(5*x)*sin(3*x),x, algorithm=""fricas"")","-8 \, \cos\left(x\right)^{8} + 16 \, \cos\left(x\right)^{6} - 10 \, \cos\left(x\right)^{4} + \frac{5}{2} \, \cos\left(x\right)^{2}"," ",0,"-8*cos(x)^8 + 16*cos(x)^6 - 10*cos(x)^4 + 5/2*cos(x)^2","A",0
43,1,14,0,0.843058," ","integrate(sin(2*x)*sin(4*x),x, algorithm=""fricas"")","-\frac{1}{3} \, {\left(\cos\left(2 \, x\right)^{2} - 1\right)} \sin\left(2 \, x\right)"," ",0,"-1/3*(cos(2*x)^2 - 1)*sin(2*x)","A",0
44,1,11,0,0.744198," ","integrate(cos(x)*log(sin(x)),x, algorithm=""fricas"")","\log\left(\sin\left(x\right)\right) \sin\left(x\right) - \sin\left(x\right)"," ",0,"log(sin(x))*sin(x) - sin(x)","A",0
45,1,11,0,0.945665," ","integrate(exp(x^2)*x^3,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
46,1,8,0,0.831491," ","integrate(exp(x)*(3+2*x),x, algorithm=""fricas"")","{\left(2 \, x + 1\right)} e^{x}"," ",0,"(2*x + 1)*e^x","A",0
47,1,14,0,0.926767," ","integrate(5^x*x,x, algorithm=""fricas"")","\frac{{\left(x \log\left(5\right) - 1\right)} 5^{x}}{\log\left(5\right)^{2}}"," ",0,"(x*log(5) - 1)*5^x/log(5)^2","A",0
48,1,13,0,0.942807," ","integrate(cos(log(x)),x, algorithm=""fricas"")","\frac{1}{2} \, x \cos\left(\log\left(x\right)\right) + \frac{1}{2} \, x \sin\left(\log\left(x\right)\right)"," ",0,"1/2*x*cos(log(x)) + 1/2*x*sin(log(x))","A",0
49,1,11,0,1.008123," ","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
50,1,9,0,0.797149," ","integrate(1/2*log(x),x, algorithm=""fricas"")","\frac{1}{2} \, x \log\left(x\right) - \frac{1}{2} \, x"," ",0,"1/2*x*log(x) - 1/2*x","A",0
51,1,13,0,0.854100," ","integrate(sin(log(x)),x, algorithm=""fricas"")","-\frac{1}{2} \, x \cos\left(\log\left(x\right)\right) + \frac{1}{2} \, x \sin\left(\log\left(x\right)\right)"," ",0,"-1/2*x*cos(log(x)) + 1/2*x*sin(log(x))","A",0
52,1,16,0,0.966513," ","integrate(sin(x^(1/2)),x, algorithm=""fricas"")","-2 \, \sqrt{x} \cos\left(\sqrt{x}\right) + 2 \, \sin\left(\sqrt{x}\right)"," ",0,"-2*sqrt(x)*cos(sqrt(x)) + 2*sin(sqrt(x))","A",0
53,1,16,0,0.892661," ","integrate(x^5*cos(x^3),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} \sin\left(x^{3}\right) + \frac{1}{3} \, \cos\left(x^{3}\right)"," ",0,"1/3*x^3*sin(x^3) + 1/3*cos(x^3)","A",0
54,1,16,0,1.162399," ","integrate(exp(x^2)*x^5,x, algorithm=""fricas"")","\frac{1}{2} \, {\left(x^{4} - 2 \, x^{2} + 2\right)} e^{\left(x^{2}\right)}"," ",0,"1/2*(x^4 - 2*x^2 + 2)*e^(x^2)","A",0
55,1,13,0,0.772279," ","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
56,1,16,0,1.055501," ","integrate(x*cos(pi*x),x, algorithm=""fricas"")","\frac{\pi x \sin\left(\pi x\right) + \cos\left(\pi x\right)}{\pi^{2}}"," ",0,"(pi*x*sin(pi*x) + cos(pi*x))/pi^2","A",0
57,1,14,0,0.878479," ","integrate(log(x)*x^(1/2),x, algorithm=""fricas"")","\frac{2}{9} \, {\left(3 \, x \log\left(x\right) - 2 \, x\right)} \sqrt{x}"," ",0,"2/9*(3*x*log(x) - 2*x)*sqrt(x)","A",0
58,1,14,0,0.950755," ","integrate(sin(3*x)^2,x, algorithm=""fricas"")","-\frac{1}{6} \, \cos\left(3 \, x\right) \sin\left(3 \, x\right) + \frac{1}{2} \, x"," ",0,"-1/6*cos(3*x)*sin(3*x) + 1/2*x","A",0
59,1,10,0,1.164120," ","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
60,1,19,0,0.827480," ","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
61,1,11,0,1.077778," ","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
62,1,13,0,1.132685," ","integrate(cos(x)^4*sin(x)^3,x, algorithm=""fricas"")","\frac{1}{7} \, \cos\left(x\right)^{7} - \frac{1}{5} \, \cos\left(x\right)^{5}"," ",0,"1/7*cos(x)^7 - 1/5*cos(x)^5","A",0
63,1,22,0,1.128868," ","integrate(cos(x)^3*sin(x)^4,x, algorithm=""fricas"")","\frac{1}{35} \, {\left(5 \, \cos\left(x\right)^{6} - 8 \, \cos\left(x\right)^{4} + \cos\left(x\right)^{2} + 2\right)} \sin\left(x\right)"," ",0,"1/35*(5*cos(x)^6 - 8*cos(x)^4 + cos(x)^2 + 2)*sin(x)","A",0
64,1,25,0,1.158070," ","integrate(cos(x)^2*sin(x)^4,x, algorithm=""fricas"")","\frac{1}{48} \, {\left(8 \, \cos\left(x\right)^{5} - 14 \, \cos\left(x\right)^{3} + 3 \, \cos\left(x\right)\right)} \sin\left(x\right) + \frac{1}{16} \, x"," ",0,"1/48*(8*cos(x)^5 - 14*cos(x)^3 + 3*cos(x))*sin(x) + 1/16*x","A",0
65,1,19,0,1.231140," ","integrate(cos(x)^2*sin(x)^2,x, algorithm=""fricas"")","-\frac{1}{8} \, {\left(2 \, \cos\left(x\right)^{3} - \cos\left(x\right)\right)} \sin\left(x\right) + \frac{1}{8} \, x"," ",0,"-1/8*(2*cos(x)^3 - cos(x))*sin(x) + 1/8*x","A",0
66,1,18,0,1.165123," ","integrate((1-sin(2*x))^2,x, algorithm=""fricas"")","-\frac{1}{4} \, \cos\left(2 \, x\right) \sin\left(2 \, x\right) + \frac{3}{2} \, x + \cos\left(2 \, x\right)"," ",0,"-1/4*cos(2*x)*sin(2*x) + 3/2*x + cos(2*x)","A",0
67,1,31,0,1.094414," ","integrate(cos(x)*sin(1/6*pi+x),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{3} \cos\left(\frac{1}{6} \, \pi + x\right)^{2} - \frac{1}{4} \, \cos\left(\frac{1}{6} \, \pi + x\right) \sin\left(\frac{1}{6} \, \pi + x\right) + \frac{1}{4} \, x"," ",0,"-1/4*sqrt(3)*cos(1/6*pi + x)^2 - 1/4*cos(1/6*pi + x)*sin(1/6*pi + x) + 1/4*x","B",0
68,1,19,0,1.027841," ","integrate(cos(x)^5*sin(x)^5,x, algorithm=""fricas"")","-\frac{1}{10} \, \cos\left(x\right)^{10} + \frac{1}{4} \, \cos\left(x\right)^{8} - \frac{1}{6} \, \cos\left(x\right)^{6}"," ",0,"-1/10*cos(x)^10 + 1/4*cos(x)^8 - 1/6*cos(x)^6","A",0
69,1,25,0,0.950340," ","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
70,1,25,0,0.940295," ","integrate(cos(x)^6,x, algorithm=""fricas"")","\frac{1}{48} \, {\left(8 \, \cos\left(x\right)^{5} + 10 \, \cos\left(x\right)^{3} + 15 \, \cos\left(x\right)\right)} \sin\left(x\right) + \frac{5}{16} \, x"," ",0,"1/48*(8*cos(x)^5 + 10*cos(x)^3 + 15*cos(x))*sin(x) + 5/16*x","A",0
71,1,33,0,1.610361," ","integrate(cos(2*x)^4*sin(2*x)^2,x, algorithm=""fricas"")","-\frac{1}{96} \, {\left(8 \, \cos\left(2 \, x\right)^{5} - 2 \, \cos\left(2 \, x\right)^{3} - 3 \, \cos\left(2 \, x\right)\right)} \sin\left(2 \, x\right) + \frac{1}{16} \, x"," ",0,"-1/96*(8*cos(2*x)^5 - 2*cos(2*x)^3 - 3*cos(2*x))*sin(2*x) + 1/16*x","A",0
72,1,17,0,1.114074," ","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
73,1,31,0,1.165698," ","integrate(cos(x)^4*sin(x)^4,x, algorithm=""fricas"")","\frac{1}{128} \, {\left(16 \, \cos\left(x\right)^{7} - 24 \, \cos\left(x\right)^{5} + 2 \, \cos\left(x\right)^{3} + 3 \, \cos\left(x\right)\right)} \sin\left(x\right) + \frac{3}{128} \, x"," ",0,"1/128*(16*cos(x)^7 - 24*cos(x)^5 + 2*cos(x)^3 + 3*cos(x))*sin(x) + 3/128*x","A",0
74,1,17,0,0.772122," ","integrate(sin(x)^3*cos(x)^(1/2),x, algorithm=""fricas"")","\frac{2}{21} \, {\left(3 \, \cos\left(x\right)^{3} - 7 \, \cos\left(x\right)\right)} \sqrt{\cos\left(x\right)}"," ",0,"2/21*(3*cos(x)^3 - 7*cos(x))*sqrt(cos(x))","A",0
75,1,14,0,1.268170," ","integrate(cos(x)^3*sin(x)^(1/2),x, algorithm=""fricas"")","\frac{2}{21} \, {\left(3 \, \cos\left(x\right)^{2} + 4\right)} \sin\left(x\right)^{\frac{3}{2}}"," ",0,"2/21*(3*cos(x)^2 + 4)*sin(x)^(3/2)","A",0
76,1,13,0,0.987803," ","integrate(cos(x^(1/2))^2/x^(1/2),x, algorithm=""fricas"")","\cos\left(\sqrt{x}\right) \sin\left(\sqrt{x}\right) + \sqrt{x}"," ",0,"cos(sqrt(x))*sin(sqrt(x)) + sqrt(x)","A",0
77,1,15,0,0.711451," ","integrate(x*sin(x^2)^3,x, algorithm=""fricas"")","\frac{1}{6} \, \cos\left(x^{2}\right)^{3} - \frac{1}{2} \, \cos\left(x^{2}\right)"," ",0,"1/6*cos(x^2)^3 - 1/2*cos(x^2)","A",0
78,1,14,0,1.341062," ","integrate(cos(x)^2*tan(x)^3,x, algorithm=""fricas"")","\frac{1}{2} \, \cos\left(x\right)^{2} - \log\left(-\cos\left(x\right)\right)"," ",0,"1/2*cos(x)^2 - log(-cos(x))","A",0
79,1,37,0,0.895512," ","integrate(cot(x)^5*sin(x)^2,x, algorithm=""fricas"")","-\frac{2 \, \cos\left(x\right)^{4} - 3 \, \cos\left(x\right)^{2} + 8 \, {\left(\cos\left(x\right)^{2} - 1\right)} \log\left(\frac{1}{2} \, \sin\left(x\right)\right) - 1}{4 \, {\left(\cos\left(x\right)^{2} - 1\right)}}"," ",0,"-1/4*(2*cos(x)^4 - 3*cos(x)^2 + 8*(cos(x)^2 - 1)*log(1/2*sin(x)) - 1)/(cos(x)^2 - 1)","B",0
80,1,5,0,0.935837," ","integrate((1-sin(x))/cos(x),x, algorithm=""fricas"")","\log\left(\sin\left(x\right) + 1\right)"," ",0,"log(sin(x) + 1)","A",0
81,1,17,0,0.985675," ","integrate(1/(1-sin(x)),x, algorithm=""fricas"")","\frac{\cos\left(x\right) + \sin\left(x\right) + 1}{\cos\left(x\right) - \sin\left(x\right) + 1}"," ",0,"(cos(x) + sin(x) + 1)/(cos(x) - sin(x) + 1)","A",0
82,1,6,0,1.231507," ","integrate(tan(x)^2,x, algorithm=""fricas"")","-x + \tan\left(x\right)"," ",0,"-x + tan(x)","A",0
83,1,12,0,1.051772," ","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
84,1,16,0,1.060647," ","integrate(sec(x)^4,x, algorithm=""fricas"")","\frac{{\left(2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{3 \, \cos\left(x\right)^{3}}"," ",0,"1/3*(2*cos(x)^2 + 1)*sin(x)/cos(x)^3","A",0
85,1,22,0,1.153434," ","integrate(sec(x)^6,x, algorithm=""fricas"")","\frac{{\left(8 \, \cos\left(x\right)^{4} + 4 \, \cos\left(x\right)^{2} + 3\right)} \sin\left(x\right)}{15 \, \cos\left(x\right)^{5}}"," ",0,"1/15*(8*cos(x)^4 + 4*cos(x)^2 + 3)*sin(x)/cos(x)^5","A",0
86,1,20,0,1.015486," ","integrate(sec(x)^2*tan(x)^4,x, algorithm=""fricas"")","\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{5 \, \cos\left(x\right)^{5}}"," ",0,"1/5*(cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x)^5","B",0
87,1,20,0,1.279007," ","integrate(sec(x)^4*tan(x)^2,x, algorithm=""fricas"")","-\frac{{\left(2 \, \cos\left(x\right)^{4} + \cos\left(x\right)^{2} - 3\right)} \sin\left(x\right)}{15 \, \cos\left(x\right)^{5}}"," ",0,"-1/15*(2*cos(x)^4 + cos(x)^2 - 3)*sin(x)/cos(x)^5","A",0
88,1,6,0,1.516137," ","integrate(sec(x)^3*tan(x),x, algorithm=""fricas"")","\frac{1}{3 \, \cos\left(x\right)^{3}}"," ",0,"1/3/cos(x)^3","A",0
89,1,14,0,1.083359," ","integrate(sec(x)^3*tan(x)^3,x, algorithm=""fricas"")","-\frac{5 \, \cos\left(x\right)^{2} - 3}{15 \, \cos\left(x\right)^{5}}"," ",0,"-1/15*(5*cos(x)^2 - 3)/cos(x)^5","A",0
90,1,24,0,1.163996," ","integrate(tan(x)^5,x, algorithm=""fricas"")","\frac{1}{4} \, \tan\left(x\right)^{4} - \frac{1}{2} \, \tan\left(x\right)^{2} - \frac{1}{2} \, \log\left(\frac{1}{\tan\left(x\right)^{2} + 1}\right)"," ",0,"1/4*tan(x)^4 - 1/2*tan(x)^2 - 1/2*log(1/(tan(x)^2 + 1))","A",0
91,1,18,0,0.939737," ","integrate(tan(x)^6,x, algorithm=""fricas"")","\frac{1}{5} \, \tan\left(x\right)^{5} - \frac{1}{3} \, \tan\left(x\right)^{3} - x + \tan\left(x\right)"," ",0,"1/5*tan(x)^5 - 1/3*tan(x)^3 - x + tan(x)","A",0
92,1,20,0,1.098859," ","integrate(sec(x)*tan(x)^5,x, algorithm=""fricas"")","\frac{15 \, \cos\left(x\right)^{4} - 10 \, \cos\left(x\right)^{2} + 3}{15 \, \cos\left(x\right)^{5}}"," ",0,"1/15*(15*cos(x)^4 - 10*cos(x)^2 + 3)/cos(x)^5","A",0
93,1,20,0,1.060927," ","integrate(sec(x)^3*tan(x)^5,x, algorithm=""fricas"")","\frac{35 \, \cos\left(x\right)^{4} - 42 \, \cos\left(x\right)^{2} + 15}{105 \, \cos\left(x\right)^{7}}"," ",0,"1/105*(35*cos(x)^4 - 42*cos(x)^2 + 15)/cos(x)^7","A",0
94,1,6,0,1.075550," ","integrate(sec(x)^6*tan(x),x, algorithm=""fricas"")","\frac{1}{6 \, \cos\left(x\right)^{6}}"," ",0,"1/6/cos(x)^6","A",0
95,1,14,0,1.240989," ","integrate(sec(x)^6*tan(x)^3,x, algorithm=""fricas"")","-\frac{4 \, \cos\left(x\right)^{2} - 3}{24 \, \cos\left(x\right)^{8}}"," ",0,"-1/24*(4*cos(x)^2 - 3)/cos(x)^8","A",0
96,1,6,0,1.341303," ","integrate(sec(x)^2/cot(x),x, algorithm=""fricas"")","\frac{1}{2 \, \cos\left(x\right)^{2}}"," ",0,"1/2/cos(x)^2","A",0
97,1,34,0,1.312004," ","integrate(sec(x)*tan(x)^2,x, algorithm=""fricas"")","-\frac{\cos\left(x\right)^{2} \log\left(\sin\left(x\right) + 1\right) - \cos\left(x\right)^{2} \log\left(-\sin\left(x\right) + 1\right) - 2 \, \sin\left(x\right)}{4 \, \cos\left(x\right)^{2}}"," ",0,"-1/4*(cos(x)^2*log(sin(x) + 1) - cos(x)^2*log(-sin(x) + 1) - 2*sin(x))/cos(x)^2","B",0
98,1,20,0,1.274373," ","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
99,1,28,0,0.923003," ","integrate(cot(x)^3,x, algorithm=""fricas"")","-\frac{{\left(\cos\left(2 \, x\right) - 1\right)} \log\left(-\frac{1}{2} \, \cos\left(2 \, x\right) + \frac{1}{2}\right) - 2}{2 \, {\left(\cos\left(2 \, x\right) - 1\right)}}"," ",0,"-1/2*((cos(2*x) - 1)*log(-1/2*cos(2*x) + 1/2) - 2)/(cos(2*x) - 1)","B",0
100,1,39,0,1.270962," ","integrate(cot(x)^4*csc(x)^4,x, algorithm=""fricas"")","-\frac{2 \, \cos\left(x\right)^{7} - 7 \, \cos\left(x\right)^{5}}{35 \, {\left(\cos\left(x\right)^{6} - 3 \, \cos\left(x\right)^{4} + 3 \, \cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)}"," ",0,"-1/35*(2*cos(x)^7 - 7*cos(x)^5)/((cos(x)^6 - 3*cos(x)^4 + 3*cos(x)^2 - 1)*sin(x))","B",0
101,1,30,0,1.359278," ","integrate(cot(x)^3*csc(x)^4,x, algorithm=""fricas"")","\frac{3 \, \cos\left(x\right)^{2} - 1}{12 \, {\left(\cos\left(x\right)^{6} - 3 \, \cos\left(x\right)^{4} + 3 \, \cos\left(x\right)^{2} - 1\right)}}"," ",0,"1/12*(3*cos(x)^2 - 1)/(cos(x)^6 - 3*cos(x)^4 + 3*cos(x)^2 - 1)","B",0
102,1,19,0,1.093489," ","integrate(csc(x),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) + \frac{1}{2} \, \log\left(-\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right)"," ",0,"-1/2*log(1/2*cos(x) + 1/2) + 1/2*log(-1/2*cos(x) + 1/2)","B",0
103,1,44,0,1.056902," ","integrate(csc(x)^3,x, algorithm=""fricas"")","-\frac{{\left(\cos\left(x\right)^{2} - 1\right)} \log\left(\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) - {\left(\cos\left(x\right)^{2} - 1\right)} \log\left(-\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) - 2 \, \cos\left(x\right)}{4 \, {\left(\cos\left(x\right)^{2} - 1\right)}}"," ",0,"-1/4*((cos(x)^2 - 1)*log(1/2*cos(x) + 1/2) - (cos(x)^2 - 1)*log(-1/2*cos(x) + 1/2) - 2*cos(x))/(cos(x)^2 - 1)","B",0
104,1,21,0,1.097750," ","integrate(cos(x)^2/sin(x),x, algorithm=""fricas"")","\cos\left(x\right) - \frac{1}{2} \, \log\left(\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) + \frac{1}{2} \, \log\left(-\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right)"," ",0,"cos(x) - 1/2*log(1/2*cos(x) + 1/2) + 1/2*log(-1/2*cos(x) + 1/2)","B",0
105,1,25,0,1.137291," ","integrate(1/sin(x)^4,x, algorithm=""fricas"")","-\frac{2 \, \cos\left(x\right)^{3} - 3 \, \cos\left(x\right)}{3 \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)}"," ",0,"-1/3*(2*cos(x)^3 - 3*cos(x))/((cos(x)^2 - 1)*sin(x))","B",0
106,1,24,0,1.305326," ","integrate(sin(2*x)*sin(5*x),x, algorithm=""fricas"")","-\frac{2}{21} \, {\left(48 \, \cos\left(x\right)^{6} - 60 \, \cos\left(x\right)^{4} + 11 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)"," ",0,"-2/21*(48*cos(x)^6 - 60*cos(x)^4 + 11*cos(x)^2 + 1)*sin(x)","A",0
107,1,13,0,1.178531," ","integrate(cos(x)*sin(3*x),x, algorithm=""fricas"")","-\cos\left(x\right)^{4} + \frac{1}{2} \, \cos\left(x\right)^{2}"," ",0,"-cos(x)^4 + 1/2*cos(x)^2","A",0
108,1,24,0,1.497164," ","integrate(cos(3*x)*cos(4*x),x, algorithm=""fricas"")","\frac{1}{7} \, {\left(32 \, \cos\left(x\right)^{6} - 40 \, \cos\left(x\right)^{4} + 12 \, \cos\left(x\right)^{2} + 3\right)} \sin\left(x\right)"," ",0,"1/7*(32*cos(x)^6 - 40*cos(x)^4 + 12*cos(x)^2 + 3)*sin(x)","B",0
109,1,14,0,1.152830," ","integrate(sin(3*x)*sin(6*x),x, algorithm=""fricas"")","-\frac{2}{9} \, {\left(\cos\left(3 \, x\right)^{2} - 1\right)} \sin\left(3 \, x\right)"," ",0,"-2/9*(cos(3*x)^2 - 1)*sin(3*x)","A",0
110,1,6,0,1.081416," ","integrate(cos(x)^5*sin(x),x, algorithm=""fricas"")","-\frac{1}{6} \, \cos\left(x\right)^{6}"," ",0,"-1/6*cos(x)^6","A",0
111,1,25,0,1.234004," ","integrate(cos(x)*cos(2*x)*cos(3*x),x, algorithm=""fricas"")","\frac{1}{12} \, {\left(16 \, \cos\left(x\right)^{5} - 10 \, \cos\left(x\right)^{3} + 3 \, \cos\left(x\right)\right)} \sin\left(x\right) + \frac{1}{4} \, x"," ",0,"1/12*(16*cos(x)^5 - 10*cos(x)^3 + 3*cos(x))*sin(x) + 1/4*x","A",0
112,1,5,0,0.997853," ","integrate((1-tan(x)^2)/sec(x)^2,x, algorithm=""fricas"")","\cos\left(x\right) \sin\left(x\right)"," ",0,"cos(x)*sin(x)","A",0
113,1,35,0,1.157771," ","integrate((cos(x)+sin(x))/sin(2*x),x, algorithm=""fricas"")","-\frac{1}{4} \, \log\left(-\frac{1}{2} \, {\left(\cos\left(x\right) + 1\right)} \sin\left(x\right) + \frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) + \frac{1}{4} \, \log\left(-\frac{1}{2} \, {\left(\cos\left(x\right) - 1\right)} \sin\left(x\right) - \frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right)"," ",0,"-1/4*log(-1/2*(cos(x) + 1)*sin(x) + 1/2*cos(x) + 1/2) + 1/4*log(-1/2*(cos(x) - 1)*sin(x) - 1/2*cos(x) + 1/2)","B",0
114,1,14,0,1.095960," ","integrate(sin(x)^2*tan(x),x, algorithm=""fricas"")","\frac{1}{2} \, \cos\left(x\right)^{2} - \log\left(-\cos\left(x\right)\right)"," ",0,"1/2*cos(x)^2 - log(-cos(x))","A",0
115,1,37,0,1.141284," ","integrate(cos(x)^2*cot(x)^3,x, algorithm=""fricas"")","-\frac{2 \, \cos\left(x\right)^{4} - 3 \, \cos\left(x\right)^{2} + 8 \, {\left(\cos\left(x\right)^{2} - 1\right)} \log\left(\frac{1}{2} \, \sin\left(x\right)\right) - 1}{4 \, {\left(\cos\left(x\right)^{2} - 1\right)}}"," ",0,"-1/4*(2*cos(x)^4 - 3*cos(x)^2 + 8*(cos(x)^2 - 1)*log(1/2*sin(x)) - 1)/(cos(x)^2 - 1)","B",0
116,1,6,0,1.308205," ","integrate(sec(x)^3*tan(x),x, algorithm=""fricas"")","\frac{1}{3 \, \cos\left(x\right)^{3}}"," ",0,"1/3/cos(x)^3","A",0
117,1,14,0,0.929955," ","integrate(sec(x)^3*tan(x)^3,x, algorithm=""fricas"")","-\frac{5 \, \cos\left(x\right)^{2} - 3}{15 \, \cos\left(x\right)^{5}}"," ",0,"-1/15*(5*cos(x)^2 - 3)/cos(x)^5","A",0
118,1,35,0,1.116633," ","integrate((-x^2+9)^(1/2)/x^2,x, algorithm=""fricas"")","\frac{2 \, x \arctan\left(\frac{\sqrt{-x^{2} + 9} - 3}{x}\right) - \sqrt{-x^{2} + 9}}{x}"," ",0,"(2*x*arctan((sqrt(-x^2 + 9) - 3)/x) - sqrt(-x^2 + 9))/x","A",0
119,1,14,0,0.985542," ","integrate(1/x^2/(x^2+4)^(1/2),x, algorithm=""fricas"")","-\frac{x + \sqrt{x^{2} + 4}}{4 \, x}"," ",0,"-1/4*(x + sqrt(x^2 + 4))/x","A",0
120,1,7,0,0.912569," ","integrate(x/(x^2+4)^(1/2),x, algorithm=""fricas"")","\sqrt{x^{2} + 4}"," ",0,"sqrt(x^2 + 4)","A",0
121,1,18,0,0.617265," ","integrate(1/(-a^2+x^2)^(1/2),x, algorithm=""fricas"")","-\log\left(-x + \sqrt{-a^{2} + x^{2}}\right)"," ",0,"-log(-x + sqrt(-a^2 + x^2))","A",0
122,1,18,0,0.892242," ","integrate(x^3/(4*x^2+9)^(3/2),x, algorithm=""fricas"")","\frac{2 \, x^{2} + 9}{8 \, \sqrt{4 \, x^{2} + 9}}"," ",0,"1/8*(2*x^2 + 9)/sqrt(4*x^2 + 9)","A",0
123,1,42,0,0.951014," ","integrate(x/(-x^2-2*x+3)^(1/2),x, algorithm=""fricas"")","-\sqrt{-x^{2} - 2 \, x + 3} + \arctan\left(\frac{\sqrt{-x^{2} - 2 \, x + 3} {\left(x + 1\right)}}{x^{2} + 2 \, x - 3}\right)"," ",0,"-sqrt(-x^2 - 2*x + 3) + arctan(sqrt(-x^2 - 2*x + 3)*(x + 1)/(x^2 + 2*x - 3))","A",0
124,1,14,0,1.122059," ","integrate(1/x^2/(-x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{-x^{2} + 1}}{x}"," ",0,"-sqrt(-x^2 + 1)/x","A",0
125,1,23,0,0.920794," ","integrate(x^3*(-x^2+4)^(1/2),x, algorithm=""fricas"")","\frac{1}{15} \, {\left(3 \, x^{4} - 4 \, x^{2} - 32\right)} \sqrt{-x^{2} + 4}"," ",0,"1/15*(3*x^4 - 4*x^2 - 32)*sqrt(-x^2 + 4)","A",0
126,1,11,0,1.291402," ","integrate(x/(-x^2+1)^(1/2),x, algorithm=""fricas"")","-\sqrt{-x^{2} + 1}"," ",0,"-sqrt(-x^2 + 1)","A",0
127,1,16,0,1.146844," ","integrate(x*(-x^2+4)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(x^{2} - 4\right)} \sqrt{-x^{2} + 4}"," ",0,"1/3*(x^2 - 4)*sqrt(-x^2 + 4)","A",0
128,1,32,0,1.129040," ","integrate((-4*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-4 \, x^{2} + 1} x - \frac{1}{2} \, \arctan\left(\frac{\sqrt{-4 \, x^{2} + 1} - 1}{2 \, x}\right)"," ",0,"1/2*sqrt(-4*x^2 + 1)*x - 1/2*arctan(1/2*(sqrt(-4*x^2 + 1) - 1)/x)","A",0
129,1,14,0,1.097775," ","integrate(x^3/(x^2+4)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{x^{2} + 4} {\left(x^{2} - 8\right)}"," ",0,"1/3*sqrt(x^2 + 4)*(x^2 - 8)","A",0
130,1,14,0,1.058893," ","integrate(1/(x^2+9)^(1/2),x, algorithm=""fricas"")","-\log\left(-x + \sqrt{x^{2} + 9}\right)"," ",0,"-log(-x + sqrt(x^2 + 9))","B",0
131,1,25,0,0.978646," ","integrate((x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{x^{2} + 1} x - \frac{1}{2} \, \log\left(-x + \sqrt{x^{2} + 1}\right)"," ",0,"1/2*sqrt(x^2 + 1)*x - 1/2*log(-x + sqrt(x^2 + 1))","A",0
132,1,33,0,0.999510," ","integrate(1/x^3/(x^2-16)^(1/2),x, algorithm=""fricas"")","\frac{x^{2} \arctan\left(-\frac{1}{4} \, x + \frac{1}{4} \, \sqrt{x^{2} - 16}\right) + 2 \, \sqrt{x^{2} - 16}}{64 \, x^{2}}"," ",0,"1/64*(x^2*arctan(-1/4*x + 1/4*sqrt(x^2 - 16)) + 2*sqrt(x^2 - 16))/x^2","A",0
133,1,23,0,1.089115," ","integrate((-a^2+x^2)^(1/2)/x^4,x, algorithm=""fricas"")","\frac{x^{3} + {\left(-a^{2} + x^{2}\right)}^{\frac{3}{2}}}{3 \, a^{2} x^{3}}"," ",0,"1/3*(x^3 + (-a^2 + x^2)^(3/2))/(a^2*x^3)","A",0
134,1,28,0,0.956276," ","integrate((9*x^2-4)^(1/2)/x,x, algorithm=""fricas"")","\sqrt{9 \, x^{2} - 4} - 4 \, \arctan\left(-\frac{3}{2} \, x + \frac{1}{2} \, \sqrt{9 \, x^{2} - 4}\right)"," ",0,"sqrt(9*x^2 - 4) - 4*arctan(-3/2*x + 1/2*sqrt(9*x^2 - 4))","A",0
135,1,18,0,1.083183," ","integrate(1/x^2/(16*x^2-9)^(1/2),x, algorithm=""fricas"")","\frac{4 \, x + \sqrt{16 \, x^{2} - 9}}{9 \, x}"," ",0,"1/9*(4*x + sqrt(16*x^2 - 9))/x","A",0
136,1,58,0,0.919036," ","integrate(x^2/(a^2-x^2)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(a^{2} - x^{2}\right)} \arctan\left(-\frac{a - \sqrt{a^{2} - x^{2}}}{x}\right) + \sqrt{a^{2} - x^{2}} x}{a^{2} - x^{2}}"," ",0,"(2*(a^2 - x^2)*arctan(-(a - sqrt(a^2 - x^2))/x) + sqrt(a^2 - x^2)*x)/(a^2 - x^2)","A",0
137,1,29,0,0.902630," ","integrate(x^2/(-x^2+5)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{-x^{2} + 5} x - \frac{5}{2} \, \arctan\left(\frac{\sqrt{-x^{2} + 5}}{x}\right)"," ",0,"-1/2*sqrt(-x^2 + 5)*x - 5/2*arctan(sqrt(-x^2 + 5)/x)","A",0
138,1,24,0,1.131787," ","integrate(1/x/(x^2+3)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \log\left(-\frac{\sqrt{3} - \sqrt{x^{2} + 3}}{x}\right)"," ",0,"1/3*sqrt(3)*log(-(sqrt(3) - sqrt(x^2 + 3))/x)","A",0
139,1,21,0,1.085372," ","integrate(x/(x^2+4)^(5/2),x, algorithm=""fricas"")","-\frac{\sqrt{x^{2} + 4}}{3 \, {\left(x^{4} + 8 \, x^{2} + 16\right)}}"," ",0,"-1/3*sqrt(x^2 + 4)/(x^4 + 8*x^2 + 16)","B",0
140,1,23,0,0.989786," ","integrate(x^3*(-9*x^2+4)^(1/2),x, algorithm=""fricas"")","\frac{1}{1215} \, {\left(243 \, x^{4} - 36 \, x^{2} - 32\right)} \sqrt{-9 \, x^{2} + 4}"," ",0,"1/1215*(243*x^4 - 36*x^2 - 32)*sqrt(-9*x^2 + 4)","A",0
141,1,39,0,1.112118," ","integrate(x^2*(-x^2+9)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, {\left(2 \, x^{3} - 9 \, x\right)} \sqrt{-x^{2} + 9} - \frac{81}{4} \, \arctan\left(\frac{\sqrt{-x^{2} + 9} - 3}{x}\right)"," ",0,"1/8*(2*x^3 - 9*x)*sqrt(-x^2 + 9) - 81/4*arctan((sqrt(-x^2 + 9) - 3)/x)","A",0
142,1,9,0,0.795178," ","integrate(5*x*(x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{5}{3} \, {\left(x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"5/3*(x^2 + 1)^(3/2)","A",0
143,1,30,0,1.030587," ","integrate(1/(4*x^2-25)^(3/2),x, algorithm=""fricas"")","-\frac{4 \, x^{2} + 2 \, \sqrt{4 \, x^{2} - 25} x - 25}{50 \, {\left(4 \, x^{2} - 25\right)}}"," ",0,"-1/50*(4*x^2 + 2*sqrt(4*x^2 - 25)*x - 25)/(4*x^2 - 25)","B",0
144,1,35,0,1.136982," ","integrate((-x^2+2*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-x^{2} + 2 \, x} {\left(x - 1\right)} - \arctan\left(\frac{\sqrt{-x^{2} + 2 \, x}}{x}\right)"," ",0,"1/2*sqrt(-x^2 + 2*x)*(x - 1) - arctan(sqrt(-x^2 + 2*x)/x)","A",0
145,1,18,0,1.112989," ","integrate(1/(x^2+4*x+8)^(1/2),x, algorithm=""fricas"")","-\log\left(-x + \sqrt{x^{2} + 4 \, x + 8} - 2\right)"," ",0,"-log(-x + sqrt(x^2 + 4*x + 8) - 2)","B",0
146,1,20,0,1.163821," ","integrate(1/(9*x^2+6*x-8)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} \, \log\left(-3 \, x + \sqrt{9 \, x^{2} + 6 \, x - 8} - 1\right)"," ",0,"-1/3*log(-3*x + sqrt(9*x^2 + 6*x - 8) - 1)","A",0
147,1,35,0,1.118955," ","integrate(x^2/(-x^2+4*x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{-x^{2} + 4 \, x} {\left(x + 6\right)} - 12 \, \arctan\left(\frac{\sqrt{-x^{2} + 4 \, x}}{x}\right)"," ",0,"-1/2*sqrt(-x^2 + 4*x)*(x + 6) - 12*arctan(sqrt(-x^2 + 4*x)/x)","A",0
148,1,28,0,1.036590," ","integrate(1/(x^2+2*x+2)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} + 2 \, x + 2\right)} \arctan\left(x + 1\right) + x + 1}{2 \, {\left(x^{2} + 2 \, x + 2\right)}}"," ",0,"1/2*((x^2 + 2*x + 2)*arctan(x + 1) + x + 1)/(x^2 + 2*x + 2)","A",0
149,1,49,0,0.973291," ","integrate(1/(-x^2-4*x+5)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, x^{3} + 12 \, x^{2} - 3 \, x - 38\right)} \sqrt{-x^{2} - 4 \, x + 5}}{243 \, {\left(x^{4} + 8 \, x^{3} + 6 \, x^{2} - 40 \, x + 25\right)}}"," ",0,"-1/243*(2*x^3 + 12*x^2 - 3*x - 38)*sqrt(-x^2 - 4*x + 5)/(x^4 + 8*x^3 + 6*x^2 - 40*x + 25)","A",0
150,1,35,0,1.131334," ","integrate(exp(t)*(9-exp(2*t))^(1/2),t, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-e^{\left(2 \, t\right)} + 9} e^{t} - 9 \, \arctan\left({\left(\sqrt{-e^{\left(2 \, t\right)} + 9} - 3\right)} e^{\left(-t\right)}\right)"," ",0,"1/2*sqrt(-e^(2*t) + 9)*e^t - 9*arctan((sqrt(-e^(2*t) + 9) - 3)*e^(-t))","A",0
151,1,22,0,0.957565," ","integrate((-9+exp(2*t))^(1/2),t, algorithm=""fricas"")","\sqrt{e^{\left(2 \, t\right)} - 9} - 3 \, \arctan\left(\frac{1}{3} \, \sqrt{e^{\left(2 \, t\right)} - 9}\right)"," ",0,"sqrt(e^(2*t) - 9) - 3*arctan(1/3*sqrt(e^(2*t) - 9))","A",0
152,1,16,0,1.266269," ","integrate(1/(a^2+x^2)^(1/2),x, algorithm=""fricas"")","-\log\left(-x + \sqrt{a^{2} + x^{2}}\right)"," ",0,"-log(-x + sqrt(a^2 + x^2))","A",0
153,1,13,0,0.985697," ","integrate((5+x)/(x^2+x-2),x, algorithm=""fricas"")","-\log\left(x + 2\right) + 2 \, \log\left(x - 1\right)"," ",0,"-log(x + 2) + 2*log(x - 1)","A",0
154,1,20,0,0.959009," ","integrate((x^3+x)/(-1+x),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + \frac{1}{2} \, x^{2} + 2 \, x + 2 \, \log\left(x - 1\right)"," ",0,"1/3*x^3 + 1/2*x^2 + 2*x + 2*log(x - 1)","A",0
155,1,19,0,1.332577," ","integrate((x^2+2*x-1)/(2*x^3+3*x^2-2*x),x, algorithm=""fricas"")","\frac{1}{10} \, \log\left(2 \, x - 1\right) - \frac{1}{10} \, \log\left(x + 2\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"1/10*log(2*x - 1) - 1/10*log(x + 2) + 1/2*log(x)","A",0
156,1,36,0,0.990588," ","integrate((x^4-2*x^2+4*x+1)/(x^3-x^2-x+1),x, algorithm=""fricas"")","\frac{x^{3} + x^{2} - 2 \, {\left(x - 1\right)} \log\left(x + 1\right) + 2 \, {\left(x - 1\right)} \log\left(x - 1\right) - 2 \, x - 4}{2 \, {\left(x - 1\right)}}"," ",0,"1/2*(x^3 + x^2 - 2*(x - 1)*log(x + 1) + 2*(x - 1)*log(x - 1) - 2*x - 4)/(x - 1)","A",0
157,1,17,0,0.873451," ","integrate((2*x^2-x+4)/(x^3+4*x),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{1}{2} \, x\right) + \frac{1}{2} \, \log\left(x^{2} + 4\right) + \log\left(x\right)"," ",0,"-1/2*arctan(1/2*x) + 1/2*log(x^2 + 4) + log(x)","A",0
158,1,31,0,0.622153," ","integrate((4*x^2-3*x+2)/(4*x^2-4*x+3),x, algorithm=""fricas"")","-\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - 1\right)}\right) + x + \frac{1}{8} \, \log\left(4 \, x^{2} - 4 \, x + 3\right)"," ",0,"-1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - 1)) + x + 1/8*log(4*x^2 - 4*x + 3)","A",0
159,1,136,0,0.903689," ","integrate((x^3+x^2+1)/(-1+x)/x/(x^2+1)^3/(x^2+x+1),x, algorithm=""fricas"")","\frac{27 \, x^{3} - 16 \, \sqrt{3} {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 18 \, x^{2} + 21 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(x\right) - 24 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(x^{2} + x + 1\right) + 45 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(x^{2} + 1\right) + 6 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(x - 1\right) - 48 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \log\left(x\right) + 33 \, x - 12}{48 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"1/48*(27*x^3 - 16*sqrt(3)*(x^4 + 2*x^2 + 1)*arctan(1/3*sqrt(3)*(2*x + 1)) - 18*x^2 + 21*(x^4 + 2*x^2 + 1)*arctan(x) - 24*(x^4 + 2*x^2 + 1)*log(x^2 + x + 1) + 45*(x^4 + 2*x^2 + 1)*log(x^2 + 1) + 6*(x^4 + 2*x^2 + 1)*log(x - 1) - 48*(x^4 + 2*x^2 + 1)*log(x) + 33*x - 12)/(x^4 + 2*x^2 + 1)","A",0
160,1,44,0,0.999430," ","integrate((-x^3+2*x^2-3*x+1)/x/(x^2+1)^2,x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{2} + 1\right)} \arctan\left(x\right) + {\left(x^{2} + 1\right)} \log\left(x^{2} + 1\right) - 2 \, {\left(x^{2} + 1\right)} \log\left(x\right) + 2 \, x + 1}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"-1/2*(4*(x^2 + 1)*arctan(x) + (x^2 + 1)*log(x^2 + 1) - 2*(x^2 + 1)*log(x) + 2*x + 1)/(x^2 + 1)","A",0
161,1,19,0,1.124390," ","integrate(1/(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
162,1,13,0,0.972047," ","integrate(1/(-1+x)/(2+x),x, algorithm=""fricas"")","-\frac{1}{3} \, \log\left(x + 2\right) + \frac{1}{3} \, \log\left(x - 1\right)"," ",0,"-1/3*log(x + 2) + 1/3*log(x - 1)","A",0
163,1,15,0,0.709923," ","integrate(7/(2*x^2+5*x-12),x, algorithm=""fricas"")","\frac{7}{11} \, \log\left(2 \, x - 3\right) - \frac{7}{11} \, \log\left(x + 4\right)"," ",0,"7/11*log(2*x - 3) - 7/11*log(x + 4)","A",0
164,1,37,0,0.877108," ","integrate((x^2+3*x-4)/(-1+2*x)^2/(3+2*x),x, algorithm=""fricas"")","-\frac{25 \, {\left(2 \, x - 1\right)} \log\left(2 \, x + 3\right) - 41 \, {\left(2 \, x - 1\right)} \log\left(2 \, x - 1\right) - 36}{128 \, {\left(2 \, x - 1\right)}}"," ",0,"-1/128*(25*(2*x - 1)*log(2*x + 3) - 41*(2*x - 1)*log(2*x - 1) - 36)/(2*x - 1)","A",0
165,1,53,0,1.086756," ","integrate((x^3-x^2)/(-6+x)/(3+5*x)^3,x, algorithm=""fricas"")","\frac{1493 \, {\left(25 \, x^{2} + 30 \, x + 9\right)} \log\left(5 \, x + 3\right) + 2500 \, {\left(25 \, x^{2} + 30 \, x + 9\right)} \log\left(x - 6\right) + 33165 \, x + 15543}{499125 \, {\left(25 \, x^{2} + 30 \, x + 9\right)}}"," ",0,"1/499125*(1493*(25*x^2 + 30*x + 9)*log(5*x + 3) + 2500*(25*x^2 + 30*x + 9)*log(x - 6) + 33165*x + 15543)/(25*x^2 + 30*x + 9)","A",0
166,1,26,0,0.922684," ","integrate(1/(x^4-x^3),x, algorithm=""fricas"")","\frac{2 \, x^{2} \log\left(x - 1\right) - 2 \, x^{2} \log\left(x\right) + 2 \, x + 1}{2 \, x^{2}}"," ",0,"1/2*(2*x^2*log(x - 1) - 2*x^2*log(x) + 2*x + 1)/x^2","A",0
167,1,19,0,0.832425," ","integrate((x^4+x^3-x^2-x+1)/(x^3-x),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} + x + \frac{1}{2} \, \log\left(x^{2} - 1\right) - \log\left(x\right)"," ",0,"1/2*x^2 + x + 1/2*log(x^2 - 1) - log(x)","A",0
168,1,11,0,1.037174," ","integrate((x^2-2)/x/(x^2+2),x, algorithm=""fricas"")","\log\left(x^{2} + 2\right) - \log\left(x\right)"," ",0,"log(x^2 + 2) - log(x)","A",0
169,1,31,0,0.838811," ","integrate((x^3-4*x^2+2)/(x^2+1)/(x^2+2),x, algorithm=""fricas"")","-5 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 6 \, \arctan\left(x\right) + \log\left(x^{2} + 2\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"-5*sqrt(2)*arctan(1/2*sqrt(2)*x) + 6*arctan(x) + log(x^2 + 2) - 1/2*log(x^2 + 1)","A",0
170,1,33,0,0.671596," ","integrate((x^4+x^2+1)/(x^2+1)/(x^2+4)^2,x, algorithm=""fricas"")","\frac{25 \, {\left(x^{2} + 4\right)} \arctan\left(\frac{1}{2} \, x\right) + 16 \, {\left(x^{2} + 4\right)} \arctan\left(x\right) - 78 \, x}{144 \, {\left(x^{2} + 4\right)}}"," ",0,"1/144*(25*(x^2 + 4)*arctan(1/2*x) + 16*(x^2 + 4)*arctan(x) - 78*x)/(x^2 + 4)","A",0
171,1,60,0,0.917111," ","integrate((1+16*x)/(5+x)^2/(-3+2*x)/(x^2+x+1),x, algorithm=""fricas"")","\frac{152438 \, \sqrt{3} {\left(x + 5\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 243867 \, {\left(x + 5\right)} \log\left(x^{2} + x + 1\right) + 176400 \, {\left(x + 5\right)} \log\left(2 \, x - 3\right) + 311334 \, {\left(x + 5\right)} \log\left(x + 5\right) - 819546}{2832102 \, {\left(x + 5\right)}}"," ",0,"1/2832102*(152438*sqrt(3)*(x + 5)*arctan(1/3*sqrt(3)*(2*x + 1)) - 243867*(x + 5)*log(x^2 + x + 1) + 176400*(x + 5)*log(2*x - 3) + 311334*(x + 5)*log(x + 5) - 819546)/(x + 5)","A",0
172,1,39,0,0.884031," ","integrate(x^4/(x^2+9)^3,x, algorithm=""fricas"")","-\frac{5 \, x^{3} - {\left(x^{4} + 18 \, x^{2} + 81\right)} \arctan\left(\frac{1}{3} \, x\right) + 27 \, x}{8 \, {\left(x^{4} + 18 \, x^{2} + 81\right)}}"," ",0,"-1/8*(5*x^3 - (x^4 + 18*x^2 + 81)*arctan(1/3*x) + 27*x)/(x^4 + 18*x^2 + 81)","A",0
173,1,134,0,1.039607," ","integrate(19*x/(-1+x)^3/(4*x^2+5*x+3)^2,x, algorithm=""fricas"")","\frac{19 \, {\left(214176 \, x^{3} + 12046 \, \sqrt{23} {\left(4 \, x^{4} - 3 \, x^{3} - 3 \, x^{2} - x + 3\right)} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(8 \, x + 5\right)}\right) - 224664 \, x^{2} - 5819 \, {\left(4 \, x^{4} - 3 \, x^{3} - 3 \, x^{2} - x + 3\right)} \log\left(4 \, x^{2} + 5 \, x + 3\right) + 11638 \, {\left(4 \, x^{4} - 3 \, x^{3} - 3 \, x^{2} - x + 3\right)} \log\left(x - 1\right) - 66240 \, x - 24840\right)}}{2437632 \, {\left(4 \, x^{4} - 3 \, x^{3} - 3 \, x^{2} - x + 3\right)}}"," ",0,"19/2437632*(214176*x^3 + 12046*sqrt(23)*(4*x^4 - 3*x^3 - 3*x^2 - x + 3)*arctan(1/23*sqrt(23)*(8*x + 5)) - 224664*x^2 - 5819*(4*x^4 - 3*x^3 - 3*x^2 - x + 3)*log(4*x^2 + 5*x + 3) + 11638*(4*x^4 - 3*x^3 - 3*x^2 - x + 3)*log(x - 1) - 66240*x - 24840)/(4*x^4 - 3*x^3 - 3*x^2 - x + 3)","A",0
174,1,39,0,0.602006," ","integrate((x^3+x^2+1)/(x^4+x^3+2*x^2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{7} x \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(2 \, x + 1\right)}\right) + 35 \, x \log\left(x^{2} + x + 2\right) - 14 \, x \log\left(x\right) - 28}{56 \, x}"," ",0,"1/56*(2*sqrt(7)*x*arctan(1/7*sqrt(7)*(2*x + 1)) + 35*x*log(x^2 + x + 2) - 14*x*log(x) - 28)/x","A",0
175,1,46,0,0.804522," ","integrate(1/(x^6-x^3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{2} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + x^{2} \log\left(x^{2} + x + 1\right) - 2 \, x^{2} \log\left(x - 1\right) - 3}{6 \, x^{2}}"," ",0,"-1/6*(2*sqrt(3)*x^2*arctan(1/3*sqrt(3)*(2*x + 1)) + x^2*log(x^2 + x + 1) - 2*x^2*log(x - 1) - 3)/x^2","A",0
176,1,13,0,0.993210," ","integrate(x^2/(1+x),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - x + \log\left(x + 1\right)"," ",0,"1/2*x^2 - x + log(x + 1)","A",0
177,1,8,0,1.001198," ","integrate(x/(-5+x),x, algorithm=""fricas"")","x + 5 \, \log\left(x - 5\right)"," ",0,"x + 5*log(x - 5)","A",0
178,1,11,0,1.162353," ","integrate((-1+4*x)/(-1+x)/(2+x),x, algorithm=""fricas"")","3 \, \log\left(x + 2\right) + \log\left(x - 1\right)"," ",0,"3*log(x + 2) + log(x - 1)","A",0
179,1,11,0,0.914497," ","integrate(1/(1+x)/(2+x),x, algorithm=""fricas"")","-\log\left(x + 2\right) + \log\left(x + 1\right)"," ",0,"-log(x + 2) + log(x + 1)","A",0
180,1,12,0,0.738600," ","integrate((-5+6*x)/(3+2*x),x, algorithm=""fricas"")","3 \, x - 7 \, \log\left(2 \, x + 3\right)"," ",0,"3*x - 7*log(2*x + 3)","A",0
181,1,20,0,1.014182," ","integrate(1/(a+x)/(b+x),x, algorithm=""fricas"")","-\frac{\log\left(a + x\right) - \log\left(b + x\right)}{a - b}"," ",0,"-(log(a + x) - log(b + x))/(a - b)","A",0
182,1,12,0,1.032752," ","integrate((x^2+1)/(x^2-x),x, algorithm=""fricas"")","x + 2 \, \log\left(x - 1\right) - \log\left(x\right)"," ",0,"x + 2*log(x - 1) - log(x)","A",0
183,1,18,0,1.081612," ","integrate((x^3+x^2-12*x+1)/(x^2+x-12),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - \frac{1}{7} \, \log\left(x + 4\right) + \frac{1}{7} \, \log\left(x - 3\right)"," ",0,"1/2*x^2 - 1/7*log(x + 4) + 1/7*log(x - 3)","A",0
184,1,17,0,0.717283," ","integrate((3+2*x)/(1+x)^2,x, algorithm=""fricas"")","\frac{2 \, {\left(x + 1\right)} \log\left(x + 1\right) - 1}{x + 1}"," ",0,"(2*(x + 1)*log(x + 1) - 1)/(x + 1)","A",0
185,1,19,0,1.073280," ","integrate(1/x/(1+x)/(3+2*x),x, algorithm=""fricas"")","\frac{2}{3} \, \log\left(2 \, x + 3\right) - \log\left(x + 1\right) + \frac{1}{3} \, \log\left(x\right)"," ",0,"2/3*log(2*x + 3) - log(x + 1) + 1/3*log(x)","A",0
186,1,15,0,0.848149," ","integrate((6*x^2+5*x-3)/(x^3+2*x^2-3*x),x, algorithm=""fricas"")","3 \, \log\left(x + 3\right) + 2 \, \log\left(x - 1\right) + \log\left(x\right)"," ",0,"3*log(x + 3) + 2*log(x - 1) + log(x)","A",0
187,1,16,0,0.864616," ","integrate(x/(x^2+4*x+4),x, algorithm=""fricas"")","\frac{{\left(x + 2\right)} \log\left(x + 2\right) + 2}{x + 2}"," ",0,"((x + 2)*log(x + 2) + 2)/(x + 2)","A",0
188,1,26,0,1.105025," ","integrate(1/(-1+x)^2/(4+x),x, algorithm=""fricas"")","\frac{{\left(x - 1\right)} \log\left(x + 4\right) - {\left(x - 1\right)} \log\left(x - 1\right) - 5}{25 \, {\left(x - 1\right)}}"," ",0,"1/25*((x - 1)*log(x + 4) - (x - 1)*log(x - 1) - 5)/(x - 1)","A",0
189,1,27,0,0.946736," ","integrate(x^2/(-3+x)/(2+x)^2,x, algorithm=""fricas"")","\frac{16 \, {\left(x + 2\right)} \log\left(x + 2\right) + 9 \, {\left(x + 2\right)} \log\left(x - 3\right) + 20}{25 \, {\left(x + 2\right)}}"," ",0,"1/25*(16*(x + 2)*log(x + 2) + 9*(x + 2)*log(x - 3) + 20)/(x + 2)","A",0
190,1,18,0,0.998912," ","integrate((5*x^2+3*x-2)/(x^3+2*x^2),x, algorithm=""fricas"")","\frac{3 \, x \log\left(x + 2\right) + 2 \, x \log\left(x\right) + 1}{x}"," ",0,"(3*x*log(x + 2) + 2*x*log(x) + 1)/x","A",0
191,1,17,0,1.092841," ","integrate((-4*x^2-2*x+18)/(x^3+4*x^2+x-6),x, algorithm=""fricas"")","-3 \, \log\left(x + 3\right) - 2 \, \log\left(x + 2\right) + \log\left(x - 1\right)"," ",0,"-3*log(x + 3) - 2*log(x + 2) + log(x - 1)","A",0
192,1,13,0,0.608065," ","integrate((x^2+2*x)/(x^3+3*x^2+4),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(x^{3} + 3 \, x^{2} + 4\right)"," ",0,"1/3*log(x^3 + 3*x^2 + 4)","A",0
193,1,40,0,1.211702," ","integrate(1/(-1+x)^2/x^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(x^{2} - x\right)} \log\left(x - 1\right) - 2 \, {\left(x^{2} - x\right)} \log\left(x\right) + 2 \, x - 1}{x^{2} - x}"," ",0,"-(2*(x^2 - x)*log(x - 1) - 2*(x^2 - x)*log(x) + 2*x - 1)/(x^2 - x)","A",0
194,1,31,0,1.271300," ","integrate(x^2/(1+x)^3,x, algorithm=""fricas"")","\frac{2 \, {\left(x^{2} + 2 \, x + 1\right)} \log\left(x + 1\right) + 4 \, x + 3}{2 \, {\left(x^{2} + 2 \, x + 1\right)}}"," ",0,"1/2*(2*(x^2 + 2*x + 1)*log(x + 1) + 4*x + 3)/(x^2 + 2*x + 1)","A",0
195,1,20,0,1.032777," ","integrate(1/(x^4-x^2),x, algorithm=""fricas"")","-\frac{x \log\left(x + 1\right) - x \log\left(x - 1\right) - 2}{2 \, x}"," ",0,"-1/2*(x*log(x + 1) - x*log(x - 1) - 2)/x","B",0
196,1,13,0,1.130534," ","integrate((2*x^3-x)/(x^4-x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(x^{4} - x^{2} + 1\right)"," ",0,"1/2*log(x^4 - x^2 + 1)","A",0
197,1,14,0,1.214738," ","integrate(x^3/(x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} - \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"1/2*x^2 - 1/2*log(x^2 + 1)","A",0
198,1,18,0,1.348276," ","integrate((-1+x)/(x^2+2*x+2),x, algorithm=""fricas"")","-2 \, \arctan\left(x + 1\right) + \frac{1}{2} \, \log\left(x^{2} + 2 \, x + 2\right)"," ",0,"-2*arctan(x + 1) + 1/2*log(x^2 + 2*x + 2)","A",0
199,1,26,0,1.342520," ","integrate(x/(x^2+x+1),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{2} \, \log\left(x^{2} + x + 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/2*log(x^2 + x + 1)","A",0
200,1,21,0,1.244119," ","integrate((4*x^2+5*x+7)/(4*x^2+4*x+5),x, algorithm=""fricas"")","x + \frac{3}{8} \, \arctan\left(x + \frac{1}{2}\right) + \frac{1}{8} \, \log\left(4 \, x^{2} + 4 \, x + 5\right)"," ",0,"x + 3/8*arctan(x + 1/2) + 1/8*log(4*x^2 + 4*x + 5)","A",0
201,1,19,0,1.199537," ","integrate((3*x^2-4*x+5)/(-1+x)/(x^2+1),x, algorithm=""fricas"")","-3 \, \arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 1\right) + 2 \, \log\left(x - 1\right)"," ",0,"-3*arctan(x) + 1/2*log(x^2 + 1) + 2*log(x - 1)","A",0
202,1,23,0,0.759278," ","integrate((3+2*x)/(x^3+3*x),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} x\right) - \frac{1}{2} \, \log\left(x^{2} + 3\right) + \log\left(x\right)"," ",0,"2/3*sqrt(3)*arctan(1/3*sqrt(3)*x) - 1/2*log(x^2 + 3) + log(x)","A",0
203,1,32,0,0.906098," ","integrate(1/(x^3-1),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{6} \, \log\left(x^{2} + x + 1\right) + \frac{1}{3} \, \log\left(x - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/6*log(x^2 + x + 1) + 1/3*log(x - 1)","A",0
204,1,35,0,1.432029," ","integrate(x^3/(x^3+1),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + x + \frac{1}{6} \, \log\left(x^{2} - x + 1\right) - \frac{1}{3} \, \log\left(x + 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + x + 1/6*log(x^2 - x + 1) - 1/3*log(x + 1)","A",0
205,1,36,0,1.128333," ","integrate((x^2-2*x-1)/(-1+x)^2/(x^2+1),x, algorithm=""fricas"")","\frac{2 \, {\left(x - 1\right)} \arctan\left(x\right) - {\left(x - 1\right)} \log\left(x^{2} + 1\right) + 2 \, {\left(x - 1\right)} \log\left(x - 1\right) + 2}{2 \, {\left(x - 1\right)}}"," ",0,"1/2*(2*(x - 1)*arctan(x) - (x - 1)*log(x^2 + 1) + 2*(x - 1)*log(x - 1) + 2)/(x - 1)","A",0
206,1,18,0,1.094364," ","integrate(x^4/(x^4-1),x, algorithm=""fricas"")","x - \frac{1}{2} \, \arctan\left(x\right) - \frac{1}{4} \, \log\left(x + 1\right) + \frac{1}{4} \, \log\left(x - 1\right)"," ",0,"x - 1/2*arctan(x) - 1/4*log(x + 1) + 1/4*log(x - 1)","A",0
207,1,24,0,1.011526," ","integrate((3*x^3-x^2+6*x-4)/(x^2+1)/(x^2+2),x, algorithm=""fricas"")","\sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 3 \, \arctan\left(x\right) + \frac{3}{2} \, \log\left(x^{2} + 1\right)"," ",0,"sqrt(2)*arctan(1/2*sqrt(2)*x) - 3*arctan(x) + 3/2*log(x^2 + 1)","A",0
208,1,17,0,1.006648," ","integrate((x^3-2*x^2+x+1)/(x^4+5*x^2+4),x, algorithm=""fricas"")","-\frac{3}{2} \, \arctan\left(\frac{1}{2} \, x\right) + \arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 4\right)"," ",0,"-3/2*arctan(1/2*x) + arctan(x) + 1/2*log(x^2 + 4)","A",0
209,1,39,0,1.187409," ","integrate((-3+x)/(x^2+2*x+4)^2,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} {\left(x^{2} + 2 \, x + 4\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(x + 1\right)}\right) + 12 \, x + 21}{18 \, {\left(x^{2} + 2 \, x + 4\right)}}"," ",0,"-1/18*(4*sqrt(3)*(x^2 + 2*x + 4)*arctan(1/3*sqrt(3)*(x + 1)) + 12*x + 21)/(x^2 + 2*x + 4)","A",0
210,1,18,0,0.916207," ","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
211,1,15,0,0.842988," ","integrate(cos(x)*(-3+2*sin(x))/(2-3*sin(x)+sin(x)^2),x, algorithm=""fricas"")","\log\left(-\frac{1}{2} \, \sin\left(x\right) + 1\right) + \log\left(-\sin\left(x\right) + 1\right)"," ",0,"log(-1/2*sin(x) + 1) + log(-sin(x) + 1)","A",0
212,1,17,0,1.196740," ","integrate(cos(x)^2*sin(x)/(5+cos(x)^2),x, algorithm=""fricas"")","\sqrt{5} \arctan\left(\frac{1}{5} \, \sqrt{5} \cos\left(x\right)\right) - \cos\left(x\right)"," ",0,"sqrt(5)*arctan(1/5*sqrt(5)*cos(x)) - cos(x)","A",0
213,1,13,0,0.527335," ","integrate(1/(x^2+2*x-3),x, algorithm=""fricas"")","-\frac{1}{4} \, \log\left(x + 3\right) + \frac{1}{4} \, \log\left(x - 1\right)"," ",0,"-1/4*log(x + 3) + 1/4*log(x - 1)","A",0
214,1,11,0,1.080104," ","integrate(1/(x^2-2*x),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(x - 2\right) - \frac{1}{2} \, \log\left(x\right)"," ",0,"1/2*log(x - 2) - 1/2*log(x)","A",0
215,1,17,0,1.033653," ","integrate((1+2*x)/(4*x^2+12*x-7),x, algorithm=""fricas"")","\frac{3}{8} \, \log\left(2 \, x + 7\right) + \frac{1}{8} \, \log\left(2 \, x - 1\right)"," ",0,"3/8*log(2*x + 7) + 1/8*log(2*x - 1)","A",0
216,1,44,0,0.984882," ","integrate(x/(x^2+x-1),x, algorithm=""fricas"")","\frac{1}{10} \, \sqrt{5} \log\left(\frac{2 \, x^{2} + \sqrt{5} {\left(2 \, x + 1\right)} + 2 \, x + 3}{x^{2} + x - 1}\right) + \frac{1}{2} \, \log\left(x^{2} + x - 1\right)"," ",0,"1/10*sqrt(5)*log((2*x^2 + sqrt(5)*(2*x + 1) + 2*x + 3)/(x^2 + x - 1)) + 1/2*log(x^2 + x - 1)","A",0
217,1,50,0,1.091456," ","integrate((4*x^3-27*x^2+5*x-32)/(30*x^5-13*x^4+50*x^3-286*x^2-299*x-70),x, algorithm=""fricas"")","\frac{3988}{260015} \, \sqrt{19} \arctan\left(\frac{1}{19} \, \sqrt{19} {\left(2 \, x + 1\right)}\right) + \frac{11049}{260015} \, \log\left(x^{2} + x + 5\right) + \frac{4822}{4879} \, \log\left(5 \, x + 2\right) - \frac{3146}{80155} \, \log\left(3 \, x - 7\right) - \frac{334}{323} \, \log\left(2 \, x + 1\right)"," ",0,"3988/260015*sqrt(19)*arctan(1/19*sqrt(19)*(2*x + 1)) + 11049/260015*log(x^2 + x + 5) + 4822/4879*log(5*x + 2) - 3146/80155*log(3*x - 7) - 334/323*log(2*x + 1)","A",0
218,1,103,0,1.080278," ","integrate((12*x^5-7*x^3-13*x^2+8)/(100*x^6-80*x^5+116*x^4-80*x^3+41*x^2-20*x+4),x, algorithm=""fricas"")","\frac{12575 \, \sqrt{2} {\left(10 \, x^{3} - 4 \, x^{2} + 5 \, x - 2\right)} \arctan\left(\sqrt{2} x\right) - 1203114 \, x^{2} + 142150 \, {\left(10 \, x^{3} - 4 \, x^{2} + 5 \, x - 2\right)} \log\left(2 \, x^{2} + 1\right) - 236384 \, {\left(10 \, x^{3} - 4 \, x^{2} + 5 \, x - 2\right)} \log\left(5 \, x - 2\right) - 154275 \, x - 84282}{399300 \, {\left(10 \, x^{3} - 4 \, x^{2} + 5 \, x - 2\right)}}"," ",0,"1/399300*(12575*sqrt(2)*(10*x^3 - 4*x^2 + 5*x - 2)*arctan(sqrt(2)*x) - 1203114*x^2 + 142150*(10*x^3 - 4*x^2 + 5*x - 2)*log(2*x^2 + 1) - 236384*(10*x^3 - 4*x^2 + 5*x - 2)*log(5*x - 2) - 154275*x - 84282)/(10*x^3 - 4*x^2 + 5*x - 2)","A",0
219,1,28,0,1.039319," ","integrate((4+x)^(1/2)/x,x, algorithm=""fricas"")","2 \, \sqrt{x + 4} - 2 \, \log\left(\sqrt{x + 4} + 2\right) + 2 \, \log\left(\sqrt{x + 4} - 2\right)"," ",0,"2*sqrt(x + 4) - 2*log(sqrt(x + 4) + 2) + 2*log(sqrt(x + 4) - 2)","A",0
220,1,638,0,3.879241," ","integrate(1/(-1/x^(1/3)+x^(1/2)),x, algorithm=""fricas"")","\frac{1}{10} \, {\left(3 \, \sqrt{5} - \sqrt{-\frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + \frac{9}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} - 3\right)} {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)} - \frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + 18 \, \sqrt{2} \sqrt{\sqrt{5} - 5} + 18 \, \sqrt{5} - 90} - 3\right)} \log\left(\frac{9}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + \frac{9}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + 3 \, \sqrt{-\frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + \frac{9}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} - 3\right)} {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)} - \frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + 18 \, \sqrt{2} \sqrt{\sqrt{5} - 5} + 18 \, \sqrt{5} - 90} {\left(\sqrt{5} - 1\right)} + 72 \, x^{\frac{1}{6}} + 36\right) + \frac{1}{10} \, {\left(3 \, \sqrt{5} + \sqrt{-\frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + \frac{9}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} - 3\right)} {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)} - \frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + 18 \, \sqrt{2} \sqrt{\sqrt{5} - 5} + 18 \, \sqrt{5} - 90} - 3\right)} \log\left(\frac{9}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + \frac{9}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} - 3 \, \sqrt{-\frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + \frac{9}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} - 3\right)} {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)} - \frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + 18 \, \sqrt{2} \sqrt{\sqrt{5} - 5} + 18 \, \sqrt{5} - 90} {\left(\sqrt{5} - 1\right)} + 72 \, x^{\frac{1}{6}} + 36\right) - \frac{3}{10} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)} \log\left(-\frac{9}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + 36 \, x^{\frac{1}{6}}\right) + \frac{3}{10} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)} \log\left(-\frac{9}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + 36 \, x^{\frac{1}{6}}\right) + 2 \, \sqrt{x} + \frac{6}{5} \, \log\left(x^{\frac{1}{6}} - 1\right)"," ",0,"1/10*(3*sqrt(5) - sqrt(-27/4*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + 9/2*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) - 3)*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1) - 27/4*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + 18*sqrt(2)*sqrt(sqrt(5) - 5) + 18*sqrt(5) - 90) - 3)*log(9/4*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + 9/4*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + 3*sqrt(-27/4*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + 9/2*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) - 3)*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1) - 27/4*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + 18*sqrt(2)*sqrt(sqrt(5) - 5) + 18*sqrt(5) - 90)*(sqrt(5) - 1) + 72*x^(1/6) + 36) + 1/10*(3*sqrt(5) + sqrt(-27/4*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + 9/2*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) - 3)*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1) - 27/4*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + 18*sqrt(2)*sqrt(sqrt(5) - 5) + 18*sqrt(5) - 90) - 3)*log(9/4*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + 9/4*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 - 3*sqrt(-27/4*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + 9/2*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) - 3)*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1) - 27/4*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + 18*sqrt(2)*sqrt(sqrt(5) - 5) + 18*sqrt(5) - 90)*(sqrt(5) - 1) + 72*x^(1/6) + 36) - 3/10*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)*log(-9/4*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + 36*x^(1/6)) + 3/10*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)*log(-9/4*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + 36*x^(1/6)) + 2*sqrt(x) + 6/5*log(x^(1/6) - 1)","B",0
221,1,27,0,1.181150," ","integrate(1/(-4*cos(x)+3*sin(x)),x, algorithm=""fricas"")","-\frac{1}{10} \, \log\left(\frac{3}{2} \, \cos\left(x\right) + 2 \, \sin\left(x\right) + \frac{5}{2}\right) + \frac{1}{10} \, \log\left(-\frac{3}{2} \, \cos\left(x\right) - 2 \, \sin\left(x\right) + \frac{5}{2}\right)"," ",0,"-1/10*log(3/2*cos(x) + 2*sin(x) + 5/2) + 1/10*log(-3/2*cos(x) - 2*sin(x) + 5/2)","B",0
222,1,14,0,1.009150," ","integrate(1/(1+x^(1/2)),x, algorithm=""fricas"")","2 \, \sqrt{x} - 2 \, \log\left(\sqrt{x} + 1\right)"," ",0,"2*sqrt(x) - 2*log(sqrt(x) + 1)","A",0
223,1,20,0,1.125814," ","integrate(1/(1+1/x^(1/3)),x, algorithm=""fricas"")","x - \frac{3}{2} \, x^{\frac{2}{3}} + 3 \, x^{\frac{1}{3}} - 3 \, \log\left(x^{\frac{1}{3}} + 1\right)"," ",0,"x - 3/2*x^(2/3) + 3*x^(1/3) - 3*log(x^(1/3) + 1)","A",0
224,1,12,0,1.322787," ","integrate(x^(1/2)/(1+x),x, algorithm=""fricas"")","2 \, \sqrt{x} - 2 \, \arctan\left(\sqrt{x}\right)"," ",0,"2*sqrt(x) - 2*arctan(sqrt(x))","A",0
225,1,19,0,1.171138," ","integrate(1/x/(1+x)^(1/2),x, algorithm=""fricas"")","-\log\left(\sqrt{x + 1} + 1\right) + \log\left(\sqrt{x + 1} - 1\right)"," ",0,"-log(sqrt(x + 1) + 1) + log(sqrt(x + 1) - 1)","B",0
226,1,8,0,1.106338," ","integrate(1/(-x^(1/3)+x),x, algorithm=""fricas"")","\frac{3}{2} \, \log\left(x^{\frac{2}{3}} - 1\right)"," ",0,"3/2*log(x^(2/3) - 1)","A",0
227,1,21,0,1.248497," ","integrate(1/(x-(2+x)^(1/2)),x, algorithm=""fricas"")","\frac{2}{3} \, \log\left(\sqrt{x + 2} + 1\right) + \frac{4}{3} \, \log\left(\sqrt{x + 2} - 2\right)"," ",0,"2/3*log(sqrt(x + 2) + 1) + 4/3*log(sqrt(x + 2) - 2)","A",0
228,1,17,0,0.965619," ","integrate(x^2/(-1+x)^(1/2),x, algorithm=""fricas"")","\frac{2}{15} \, {\left(3 \, x^{2} + 4 \, x + 8\right)} \sqrt{x - 1}"," ",0,"2/15*(3*x^2 + 4*x + 8)*sqrt(x - 1)","A",0
229,1,24,0,0.976791," ","integrate((-1+x)^(1/2)/(1+x),x, algorithm=""fricas"")","-2 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{x - 1}\right) + 2 \, \sqrt{x - 1}"," ",0,"-2*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(x - 1)) + 2*sqrt(x - 1)","A",0
230,1,14,0,0.987963," ","integrate(1/(1+x^(1/2))^(1/2),x, algorithm=""fricas"")","\frac{4}{3} \, \sqrt{\sqrt{x} + 1} {\left(\sqrt{x} - 2\right)}"," ",0,"4/3*sqrt(sqrt(x) + 1)*(sqrt(x) - 2)","A",0
231,1,6,0,1.182937," ","integrate(x^(1/2)/(x^2+x),x, algorithm=""fricas"")","2 \, \arctan\left(\sqrt{x}\right)"," ",0,"2*arctan(sqrt(x))","A",0
232,1,15,0,0.973952," ","integrate((1+x^(1/2))/(-1+x^(1/2)),x, algorithm=""fricas"")","x + 4 \, \sqrt{x} + 4 \, \log\left(\sqrt{x} - 1\right)"," ",0,"x + 4*sqrt(x) + 4*log(sqrt(x) - 1)","A",0
233,1,22,0,1.083081," ","integrate((1+1/x^(1/3))/(-1+1/x^(1/3)),x, algorithm=""fricas"")","-x - 3 \, x^{\frac{2}{3}} - 6 \, x^{\frac{1}{3}} - 6 \, \log\left(x^{\frac{1}{3}} - 1\right)"," ",0,"-x - 3*x^(2/3) - 6*x^(1/3) - 6*log(x^(1/3) - 1)","A",0
234,1,16,0,0.923744," ","integrate(x^3/(x^2+1)^(1/3),x, algorithm=""fricas"")","\frac{3}{20} \, {\left(2 \, x^{2} - 3\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}}"," ",0,"3/20*(2*x^2 - 3)*(x^2 + 1)^(2/3)","A",0
235,1,547,0,3.901982," ","integrate(x^(1/2)/(-1/x^(1/3)+x^(1/2)),x, algorithm=""fricas"")","-\frac{3}{10} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)} \log\left(\frac{3}{2} \, \sqrt{2} \sqrt{\sqrt{5} - 5} + \frac{3}{2} \, \sqrt{5} + 6 \, x^{\frac{1}{6}} + \frac{3}{2}\right) + \frac{3}{10} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)} \log\left(-\frac{3}{2} \, \sqrt{2} \sqrt{\sqrt{5} - 5} + \frac{3}{2} \, \sqrt{5} + 6 \, x^{\frac{1}{6}} + \frac{3}{2}\right) + \frac{1}{10} \, {\left(3 \, \sqrt{5} - \sqrt{-\frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + \frac{9}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} - 3\right)} {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)} - \frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + 18 \, \sqrt{2} \sqrt{\sqrt{5} - 5} + 18 \, \sqrt{5} - 90} - 3\right)} \log\left(-3 \, \sqrt{5} + \sqrt{-\frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + \frac{9}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} - 3\right)} {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)} - \frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + 18 \, \sqrt{2} \sqrt{\sqrt{5} - 5} + 18 \, \sqrt{5} - 90} + 12 \, x^{\frac{1}{6}} + 3\right) + \frac{1}{10} \, {\left(3 \, \sqrt{5} + \sqrt{-\frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + \frac{9}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} - 3\right)} {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)} - \frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + 18 \, \sqrt{2} \sqrt{\sqrt{5} - 5} + 18 \, \sqrt{5} - 90} - 3\right)} \log\left(-3 \, \sqrt{5} - \sqrt{-\frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + \frac{9}{2} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} + \sqrt{5} - 3\right)} {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)} - \frac{27}{4} \, {\left(\sqrt{2} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + 18 \, \sqrt{2} \sqrt{\sqrt{5} - 5} + 18 \, \sqrt{5} - 90} + 12 \, x^{\frac{1}{6}} + 3\right) + x + 6 \, x^{\frac{1}{6}} + \frac{6}{5} \, \log\left(x^{\frac{1}{6}} - 1\right)"," ",0,"-3/10*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)*log(3/2*sqrt(2)*sqrt(sqrt(5) - 5) + 3/2*sqrt(5) + 6*x^(1/6) + 3/2) + 3/10*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)*log(-3/2*sqrt(2)*sqrt(sqrt(5) - 5) + 3/2*sqrt(5) + 6*x^(1/6) + 3/2) + 1/10*(3*sqrt(5) - sqrt(-27/4*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + 9/2*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) - 3)*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1) - 27/4*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + 18*sqrt(2)*sqrt(sqrt(5) - 5) + 18*sqrt(5) - 90) - 3)*log(-3*sqrt(5) + sqrt(-27/4*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + 9/2*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) - 3)*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1) - 27/4*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + 18*sqrt(2)*sqrt(sqrt(5) - 5) + 18*sqrt(5) - 90) + 12*x^(1/6) + 3) + 1/10*(3*sqrt(5) + sqrt(-27/4*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + 9/2*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) - 3)*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1) - 27/4*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + 18*sqrt(2)*sqrt(sqrt(5) - 5) + 18*sqrt(5) - 90) - 3)*log(-3*sqrt(5) - sqrt(-27/4*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + 9/2*(sqrt(2)*sqrt(sqrt(5) - 5) + sqrt(5) - 3)*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1) - 27/4*(sqrt(2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + 18*sqrt(2)*sqrt(sqrt(5) - 5) + 18*sqrt(5) - 90) + 12*x^(1/6) + 3) + x + 6*x^(1/6) + 6/5*log(x^(1/6) - 1)","B",0
236,1,47,0,1.518516," ","integrate(1/(1/x^(1/4)+x^(1/2)),x, algorithm=""fricas"")","-\frac{4}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} x^{\frac{1}{4}} - \frac{1}{3} \, \sqrt{3}\right) + 2 \, \sqrt{x} - \frac{2}{3} \, \log\left(\sqrt{x} - x^{\frac{1}{4}} + 1\right) + \frac{4}{3} \, \log\left(x^{\frac{1}{4}} + 1\right)"," ",0,"-4/3*sqrt(3)*arctan(2/3*sqrt(3)*x^(1/4) - 1/3*sqrt(3)) + 2*sqrt(x) - 2/3*log(sqrt(x) - x^(1/4) + 1) + 4/3*log(x^(1/4) + 1)","A",0
237,1,76,0,1.228898," ","integrate(1/(1/x^(1/3)+1/x^(1/4)),x, algorithm=""fricas"")","\frac{4}{5} \, {\left(x + 5\right)} x^{\frac{1}{4}} - \frac{6}{7} \, {\left(x + 7\right)} x^{\frac{1}{6}} + \frac{12}{13} \, {\left(x + 13\right)} x^{\frac{1}{12}} - x + \frac{12}{11} \, x^{\frac{11}{12}} - \frac{6}{5} \, x^{\frac{5}{6}} + \frac{4}{3} \, x^{\frac{3}{4}} - \frac{3}{2} \, x^{\frac{2}{3}} + \frac{12}{7} \, x^{\frac{7}{12}} - 2 \, \sqrt{x} + \frac{12}{5} \, x^{\frac{5}{12}} - 3 \, x^{\frac{1}{3}} - 12 \, \log\left(x^{\frac{1}{12}} + 1\right)"," ",0,"4/5*(x + 5)*x^(1/4) - 6/7*(x + 7)*x^(1/6) + 12/13*(x + 13)*x^(1/12) - x + 12/11*x^(11/12) - 6/5*x^(5/6) + 4/3*x^(3/4) - 3/2*x^(2/3) + 12/7*x^(7/12) - 2*sqrt(x) + 12/5*x^(5/12) - 3*x^(1/3) - 12*log(x^(1/12) + 1)","A",0
238,1,26,0,0.912689," ","integrate(((1-x)/x)^(1/2),x, algorithm=""fricas"")","x \sqrt{-\frac{x - 1}{x}} - \arctan\left(\sqrt{-\frac{x - 1}{x}}\right)"," ",0,"x*sqrt(-(x - 1)/x) - arctan(sqrt(-(x - 1)/x))","A",0
239,1,13,0,0.923123," ","integrate(cos(x)/(sin(x)+sin(x)^2),x, algorithm=""fricas"")","\log\left(\frac{1}{2} \, \sin\left(x\right)\right) - \log\left(\sin\left(x\right) + 1\right)"," ",0,"log(1/2*sin(x)) - log(sin(x) + 1)","A",0
240,1,15,0,0.927272," ","integrate(exp(2*x)/(2+3*exp(x)+exp(2*x)),x, algorithm=""fricas"")","2 \, \log\left(e^{x} + 2\right) - \log\left(e^{x} + 1\right)"," ",0,"2*log(e^x + 2) - log(e^x + 1)","A",0
241,1,21,0,1.050475," ","integrate(1/(1+exp(x))^(1/2),x, algorithm=""fricas"")","-\log\left(\sqrt{e^{x} + 1} + 1\right) + \log\left(\sqrt{e^{x} + 1} - 1\right)"," ",0,"-log(sqrt(e^x + 1) + 1) + log(sqrt(e^x + 1) - 1)","B",0
242,1,35,0,1.174794," ","integrate((1-exp(x))^(1/2),x, algorithm=""fricas"")","2 \, \sqrt{-e^{x} + 1} - \log\left(\sqrt{-e^{x} + 1} + 1\right) + \log\left(\sqrt{-e^{x} + 1} - 1\right)"," ",0,"2*sqrt(-e^x + 1) - log(sqrt(-e^x + 1) + 1) + log(sqrt(-e^x + 1) - 1)","A",0
243,1,27,0,1.006497," ","integrate(1/(3-5*sin(x)),x, algorithm=""fricas"")","\frac{1}{8} \, \log\left(4 \, \cos\left(x\right) - 3 \, \sin\left(x\right) + 5\right) - \frac{1}{8} \, \log\left(-4 \, \cos\left(x\right) - 3 \, \sin\left(x\right) + 5\right)"," ",0,"1/8*log(4*cos(x) - 3*sin(x) + 5) - 1/8*log(-4*cos(x) - 3*sin(x) + 5)","A",0
244,1,38,0,0.813521," ","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
245,1,17,0,1.254114," ","integrate(1/(1-cos(x)+sin(x)),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(-\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) - \frac{1}{2} \, \log\left(\sin\left(x\right) + 1\right)"," ",0,"1/2*log(-1/2*cos(x) + 1/2) - 1/2*log(sin(x) + 1)","A",0
246,1,27,0,1.195401," ","integrate(1/(4*cos(x)+3*sin(x)),x, algorithm=""fricas"")","-\frac{1}{10} \, \log\left(\frac{3}{2} \, \cos\left(x\right) - 2 \, \sin\left(x\right) + \frac{5}{2}\right) + \frac{1}{10} \, \log\left(-\frac{3}{2} \, \cos\left(x\right) + 2 \, \sin\left(x\right) + \frac{5}{2}\right)"," ",0,"-1/10*log(3/2*cos(x) - 2*sin(x) + 5/2) + 1/10*log(-3/2*cos(x) + 2*sin(x) + 5/2)","B",0
247,1,35,0,1.311855," ","integrate(1/(sin(x)+tan(x)),x, algorithm=""fricas"")","-\frac{{\left(\cos\left(x\right) + 1\right)} \log\left(\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) - {\left(\cos\left(x\right) + 1\right)} \log\left(-\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) + 2}{4 \, {\left(\cos\left(x\right) + 1\right)}}"," ",0,"-1/4*((cos(x) + 1)*log(1/2*cos(x) + 1/2) - (cos(x) + 1)*log(-1/2*cos(x) + 1/2) + 2)/(cos(x) + 1)","A",0
248,1,35,0,0.884703," ","integrate(1/(2*sin(x)+sin(2*x)),x, algorithm=""fricas"")","-\frac{{\left(\cos\left(x\right) + 1\right)} \log\left(\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) - {\left(\cos\left(x\right) + 1\right)} \log\left(-\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) - 2}{8 \, {\left(\cos\left(x\right) + 1\right)}}"," ",0,"-1/8*((cos(x) + 1)*log(1/2*cos(x) + 1/2) - (cos(x) + 1)*log(-1/2*cos(x) + 1/2) - 2)/(cos(x) + 1)","B",0
249,1,33,0,1.096259," ","integrate(sec(x)/(1+sin(x)),x, algorithm=""fricas"")","\frac{{\left(\sin\left(x\right) + 1\right)} \log\left(\sin\left(x\right) + 1\right) - {\left(\sin\left(x\right) + 1\right)} \log\left(-\sin\left(x\right) + 1\right) - 2}{4 \, {\left(\sin\left(x\right) + 1\right)}}"," ",0,"1/4*((sin(x) + 1)*log(sin(x) + 1) - (sin(x) + 1)*log(-sin(x) + 1) - 2)/(sin(x) + 1)","B",0
250,1,98,0,0.931318," ","integrate(1/(b*cos(x)+a*sin(x)),x, algorithm=""fricas"")","\frac{\log\left(-\frac{2 \, a b \cos\left(x\right) \sin\left(x\right) - {\left(a^{2} - b^{2}\right)} \cos\left(x\right)^{2} - a^{2} - 2 \, b^{2} + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cos\left(x\right) - b \sin\left(x\right)\right)}}{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 \, \sqrt{a^{2} + b^{2}}}"," ",0,"1/2*log(-(2*a*b*cos(x)*sin(x) - (a^2 - b^2)*cos(x)^2 - a^2 - 2*b^2 + 2*sqrt(a^2 + b^2)*(a*cos(x) - b*sin(x)))/(2*a*b*cos(x)*sin(x) - (a^2 - b^2)*cos(x)^2 + a^2))/sqrt(a^2 + b^2)","B",0
251,1,43,0,1.294417," ","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
252,1,8,0,1.049196," ","integrate(x/(x^2-1),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(x^{2} - 1\right)"," ",0,"1/2*log(x^2 - 1)","A",0
253,1,11,0,0.661729," ","integrate(x^(1/2)*(1+x^(1/2)),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} + \frac{2}{3} \, x^{\frac{3}{2}}"," ",0,"1/2*x^2 + 2/3*x^(3/2)","A",0
254,1,10,0,0.723567," ","integrate(1/(1-cos(x)),x, algorithm=""fricas"")","-\frac{\cos\left(x\right) + 1}{\sin\left(x\right)}"," ",0,"-(cos(x) + 1)/sin(x)","A",0
255,1,34,0,1.107379," ","integrate(sec(x)*tan(x)^2,x, algorithm=""fricas"")","-\frac{\cos\left(x\right)^{2} \log\left(\sin\left(x\right) + 1\right) - \cos\left(x\right)^{2} \log\left(-\sin\left(x\right) + 1\right) - 2 \, \sin\left(x\right)}{4 \, \cos\left(x\right)^{2}}"," ",0,"-1/4*(cos(x)^2*log(sin(x) + 1) - cos(x)^2*log(-sin(x) + 1) - 2*sin(x))/cos(x)^2","B",0
256,1,14,0,1.211403," ","integrate(sec(x)^3*tan(x)^3,x, algorithm=""fricas"")","-\frac{5 \, \cos\left(x\right)^{2} - 3}{15 \, \cos\left(x\right)^{5}}"," ",0,"-1/15*(5*cos(x)^2 - 3)/cos(x)^5","A",0
257,1,11,0,0.750005," ","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
258,1,30,0,1.104984," ","integrate((x^5+1)/(x^3-3*x^2-10*x),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + \frac{3}{2} \, x^{2} + 19 \, x - \frac{31}{14} \, \log\left(x + 2\right) + \frac{3126}{35} \, \log\left(x - 5\right) - \frac{1}{10} \, \log\left(x\right)"," ",0,"1/3*x^3 + 3/2*x^2 + 19*x - 31/14*log(x + 2) + 3126/35*log(x - 5) - 1/10*log(x)","A",0
259,1,6,0,1.052058," ","integrate(1/x/log(x)^(1/2),x, algorithm=""fricas"")","2 \, \sqrt{\log\left(x\right)}"," ",0,"2*sqrt(log(x))","A",0
260,1,10,0,1.008759," ","integrate((5+2*x)/(-3+x),x, algorithm=""fricas"")","2 \, x + 11 \, \log\left(x - 3\right)"," ",0,"2*x + 11*log(x - 3)","A",0
261,1,3,0,1.294920," ","integrate(exp(x+exp(x)),x, algorithm=""fricas"")","e^{\left(e^{x}\right)}"," ",0,"e^(e^x)","A",0
262,1,19,0,1.057356," ","integrate(cos(x)^2*sin(x)^2,x, algorithm=""fricas"")","-\frac{1}{8} \, {\left(2 \, \cos\left(x\right)^{3} - \cos\left(x\right)\right)} \sin\left(x\right) + \frac{1}{8} \, x"," ",0,"-1/8*(2*cos(x)^3 - cos(x))*sin(x) + 1/8*x","A",0
263,1,11,0,0.958351," ","integrate((-cos(x)+sin(x))/(cos(x)+sin(x)),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(2 \, \cos\left(x\right) \sin\left(x\right) + 1\right)"," ",0,"-1/2*log(2*cos(x)*sin(x) + 1)","A",0
264,1,11,0,0.769290," ","integrate(x/(-x^2+1)^(1/2),x, algorithm=""fricas"")","-\sqrt{-x^{2} + 1}"," ",0,"-sqrt(-x^2 + 1)","A",0
265,1,13,0,0.838023," ","integrate(x^3*log(x),x, algorithm=""fricas"")","\frac{1}{4} \, x^{4} \log\left(x\right) - \frac{1}{16} \, x^{4}"," ",0,"1/4*x^4*log(x) - 1/16*x^4","A",0
266,1,18,0,0.720567," ","integrate((-2+x)^(1/2)/(2+x),x, algorithm=""fricas"")","2 \, \sqrt{x - 2} - 4 \, \arctan\left(\frac{1}{2} \, \sqrt{x - 2}\right)"," ",0,"2*sqrt(x - 2) - 4*arctan(1/2*sqrt(x - 2))","A",0
267,1,16,0,1.029927," ","integrate(x/(2+x)^2,x, algorithm=""fricas"")","\frac{{\left(x + 2\right)} \log\left(x + 2\right) + 2}{x + 2}"," ",0,"((x + 2)*log(x + 2) + 2)/(x + 2)","A",0
268,1,16,0,0.986680," ","integrate(log(x^2+1),x, algorithm=""fricas"")","x \log\left(x^{2} + 1\right) - 2 \, x + 2 \, \arctan\left(x\right)"," ",0,"x*log(x^2 + 1) - 2*x + 2*arctan(x)","A",0
269,1,29,0,0.931093," ","integrate((1+log(x))^(1/2)/x/log(x),x, algorithm=""fricas"")","2 \, \sqrt{\log\left(x\right) + 1} - \log\left(\sqrt{\log\left(x\right) + 1} + 1\right) + \log\left(\sqrt{\log\left(x\right) + 1} - 1\right)"," ",0,"2*sqrt(log(x) + 1) - log(sqrt(log(x) + 1) + 1) + log(sqrt(log(x) + 1) - 1)","A",0
270,1,46,0,1.065225," ","integrate((1+x^(1/2))^8,x, algorithm=""fricas"")","\frac{1}{5} \, x^{5} + 7 \, x^{4} + \frac{70}{3} \, x^{3} + 14 \, x^{2} + \frac{16}{45} \, {\left(5 \, x^{4} + 45 \, x^{3} + 63 \, x^{2} + 15 \, x\right)} \sqrt{x} + x"," ",0,"1/5*x^5 + 7*x^4 + 70/3*x^3 + 14*x^2 + 16/45*(5*x^4 + 45*x^3 + 63*x^2 + 15*x)*sqrt(x) + x","B",0
271,1,14,0,0.963583," ","integrate(sec(x)^4*tan(x)^3,x, algorithm=""fricas"")","-\frac{3 \, \cos\left(x\right)^{2} - 2}{12 \, \cos\left(x\right)^{6}}"," ",0,"-1/12*(3*cos(x)^2 - 2)/cos(x)^6","A",0
272,1,16,0,0.854765," ","integrate(x/(x^2-2*x+2),x, algorithm=""fricas"")","\arctan\left(x - 1\right) + \frac{1}{2} \, \log\left(x^{2} - 2 \, x + 2\right)"," ",0,"arctan(x - 1) + 1/2*log(x^2 - 2*x + 2)","A",0
273,1,24,0,1.143193," ","integrate(x*arcsin(x),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(2 \, x^{2} - 1\right)} \arcsin\left(x\right) + \frac{1}{4} \, \sqrt{-x^{2} + 1} x"," ",0,"1/4*(2*x^2 - 1)*arcsin(x) + 1/4*sqrt(-x^2 + 1)*x","A",0
274,1,28,0,0.919921," ","integrate((-x^2+9)^(1/2)/x,x, algorithm=""fricas"")","\sqrt{-x^{2} + 9} + 3 \, \log\left(\frac{\sqrt{-x^{2} + 9} - 3}{x}\right)"," ",0,"sqrt(-x^2 + 9) + 3*log((sqrt(-x^2 + 9) - 3)/x)","A",0
275,1,13,0,0.927624," ","integrate(x/(x^2+3*x+2),x, algorithm=""fricas"")","2 \, \log\left(x + 2\right) - \log\left(x + 1\right)"," ",0,"2*log(x + 2) - log(x + 1)","A",0
276,1,14,0,0.965867," ","integrate(x^2*cosh(x),x, algorithm=""fricas"")","-2 \, x \cosh\left(x\right) + {\left(x^{2} + 2\right)} \sinh\left(x\right)"," ",0,"-2*x*cosh(x) + (x^2 + 2)*sinh(x)","A",0
277,1,15,0,0.838169," ","integrate((x^3+x+1)/(x^4+2*x^2+4*x),x, algorithm=""fricas"")","\frac{1}{4} \, \log\left(x^{4} + 2 \, x^{2} + 4 \, x\right)"," ",0,"1/4*log(x^4 + 2*x^2 + 4*x)","A",0
278,1,3,0,1.068223," ","integrate(cos(x)/(1+sin(x)^2),x, algorithm=""fricas"")","\arctan\left(\sin\left(x\right)\right)"," ",0,"arctan(sin(x))","A",0
279,1,16,0,1.045475," ","integrate(cos(x^(1/2)),x, algorithm=""fricas"")","2 \, \sqrt{x} \sin\left(\sqrt{x}\right) + 2 \, \cos\left(\sqrt{x}\right)"," ",0,"2*sqrt(x)*sin(sqrt(x)) + 2*cos(sqrt(x))","A",0
280,1,9,0,1.112042," ","integrate(sin(pi*x),x, algorithm=""fricas"")","-\frac{\cos\left(\pi x\right)}{\pi}"," ",0,"-cos(pi*x)/pi","A",0
281,1,10,0,1.130249," ","integrate(exp(2*x)/(1+exp(x)),x, algorithm=""fricas"")","e^{x} - \log\left(e^{x} + 1\right)"," ",0,"e^x - log(e^x + 1)","A",0
282,1,21,0,0.985934," ","integrate(exp(3*x)*cos(5*x),x, algorithm=""fricas"")","\frac{3}{34} \, \cos\left(5 \, x\right) e^{\left(3 \, x\right)} + \frac{5}{34} \, e^{\left(3 \, x\right)} \sin\left(5 \, x\right)"," ",0,"3/34*cos(5*x)*e^(3*x) + 5/34*e^(3*x)*sin(5*x)","A",0
283,1,22,0,1.100577," ","integrate(cos(3*x)*cos(5*x),x, algorithm=""fricas"")","{\left(8 \, \cos\left(x\right)^{7} - 12 \, \cos\left(x\right)^{5} + 5 \, \cos\left(x\right)^{3}\right)} \sin\left(x\right)"," ",0,"(8*cos(x)^7 - 12*cos(x)^5 + 5*cos(x)^3)*sin(x)","A",0
284,1,19,0,0.950395," ","integrate(1/(x^3+x^2+x+1),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"1/2*arctan(x) - 1/4*log(x^2 + 1) + 1/2*log(x + 1)","A",0
285,1,25,0,0.868679," ","integrate(x^2*log(1+x),x, algorithm=""fricas"")","-\frac{1}{9} \, x^{3} + \frac{1}{6} \, x^{2} + \frac{1}{3} \, {\left(x^{3} + 1\right)} \log\left(x + 1\right) - \frac{1}{3} \, x"," ",0,"-1/9*x^3 + 1/6*x^2 + 1/3*(x^3 + 1)*log(x + 1) - 1/3*x","A",0
286,1,13,0,0.833871," ","integrate(x^5/exp(x^3),x, algorithm=""fricas"")","-\frac{1}{3} \, {\left(x^{3} + 1\right)} e^{\left(-x^{3}\right)}"," ",0,"-1/3*(x^3 + 1)*e^(-x^3)","A",0
287,1,10,0,1.083033," ","integrate(tan(4*x)^2,x, algorithm=""fricas"")","-x + \frac{1}{4} \, \tan\left(4 \, x\right)"," ",0,"-x + 1/4*tan(4*x)","A",0
288,1,20,0,0.821364," ","integrate(1/(9*x^2+12*x-5)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} \, \log\left(-3 \, x + \sqrt{9 \, x^{2} + 12 \, x - 5} - 2\right)"," ",0,"-1/3*log(-3*x + sqrt(9*x^2 + 12*x - 5) - 2)","A",0
289,1,21,0,1.040982," ","integrate(x^2*arctan(x),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} \arctan\left(x\right) - \frac{1}{6} \, x^{2} + \frac{1}{6} \, \log\left(x^{2} + 1\right)"," ",0,"1/3*x^3*arctan(x) - 1/6*x^2 + 1/6*log(x^2 + 1)","A",0
290,1,11,0,0.987608," ","integrate((1-x^(1/2))/x^(1/3),x, algorithm=""fricas"")","-\frac{6}{7} \, x^{\frac{7}{6}} + \frac{3}{2} \, x^{\frac{2}{3}}"," ",0,"-6/7*x^(7/6) + 3/2*x^(2/3)","A",0
291,1,15,0,0.954156," ","integrate(1/(-1/exp(x)+exp(x)),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left(e^{x} - 1\right)"," ",0,"-1/2*log(e^x + 1) + 1/2*log(e^x - 1)","B",0
292,1,10,0,0.684567," ","integrate(x/(x^4+2*x^2+10),x, algorithm=""fricas"")","\frac{1}{6} \, \arctan\left(\frac{1}{3} \, x^{2} + \frac{1}{3}\right)"," ",0,"1/6*arctan(1/3*x^2 + 1/3)","A",0
293,1,8,0,0.747142," ","integrate(1/(1/x^(1/3)+x),x, algorithm=""fricas"")","\frac{3}{4} \, \log\left(x^{\frac{4}{3}} + 1\right)"," ",0,"3/4*log(x^(4/3) + 1)","A",0
294,1,25,0,1.051033," ","integrate(cos(x)^4*sin(x)^2,x, algorithm=""fricas"")","-\frac{1}{48} \, {\left(8 \, \cos\left(x\right)^{5} - 2 \, \cos\left(x\right)^{3} - 3 \, \cos\left(x\right)\right)} \sin\left(x\right) + \frac{1}{16} \, x"," ",0,"-1/48*(8*cos(x)^5 - 2*cos(x)^3 - 3*cos(x))*sin(x) + 1/16*x","A",0
295,1,29,0,0.740313," ","integrate(1/(-x^2-4*x+5)^(1/2),x, algorithm=""fricas"")","-\arctan\left(\frac{\sqrt{-x^{2} - 4 \, x + 5} {\left(x + 2\right)}}{x^{2} + 4 \, x - 5}\right)"," ",0,"-arctan(sqrt(-x^2 - 4*x + 5)*(x + 2)/(x^2 + 4*x - 5))","B",0
296,1,21,0,0.838326," ","integrate(x/(1-x^2+(-x^2+1)^(1/2)),x, algorithm=""fricas"")","-\log\left(x\right) + \log\left(\frac{\sqrt{-x^{2} + 1} - 1}{x}\right)"," ",0,"-log(x) + log((sqrt(-x^2 + 1) - 1)/x)","A",0
297,1,7,0,1.085875," ","integrate((1+cos(x))*csc(x),x, algorithm=""fricas"")","\log\left(-\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right)"," ",0,"log(-1/2*cos(x) + 1/2)","A",0
298,1,15,0,1.053890," ","integrate(exp(x)/(-1+exp(2*x)),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left(e^{x} - 1\right)"," ",0,"-1/2*log(e^x + 1) + 1/2*log(e^x - 1)","B",0
299,1,32,0,0.981920," ","integrate(1/(x^3-8),x, algorithm=""fricas"")","-\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(x + 1\right)}\right) - \frac{1}{24} \, \log\left(x^{2} + 2 \, x + 4\right) + \frac{1}{12} \, \log\left(x - 2\right)"," ",0,"-1/12*sqrt(3)*arctan(1/3*sqrt(3)*(x + 1)) - 1/24*log(x^2 + 2*x + 4) + 1/12*log(x - 2)","A",0
300,1,30,0,0.922247," ","integrate(x^5*cosh(x),x, algorithm=""fricas"")","-5 \, {\left(x^{4} + 12 \, x^{2} + 24\right)} \cosh\left(x\right) + {\left(x^{5} + 20 \, x^{3} + 120 \, x\right)} \sinh\left(x\right)"," ",0,"-5*(x^4 + 12*x^2 + 24)*cosh(x) + (x^5 + 20*x^3 + 120*x)*sinh(x)","A",0
301,1,12,0,0.896222," ","integrate(log(tan(x))/cos(x)/sin(x),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(\frac{\sin\left(x\right)}{\cos\left(x\right)}\right)^{2}"," ",0,"1/2*log(sin(x)/cos(x))^2","A",0
302,1,16,0,0.589299," ","integrate(x^3+x^2-2*x,x, algorithm=""fricas"")","\frac{1}{4} x^{4} + \frac{1}{3} x^{3} - x^{2}"," ",0,"1/4*x^4 + 1/3*x^3 - x^2","A",0
303,1,9,0,0.641558," ","integrate((1+exp(x))/(1-exp(x)),x, algorithm=""fricas"")","x - 2 \, \log\left(e^{x} - 1\right)"," ",0,"x - 2*log(e^x - 1)","A",0
304,1,17,0,0.658403," ","integrate(x/(x^2+1)/(x^2+4),x, algorithm=""fricas"")","-\frac{1}{6} \, \log\left(x^{2} + 4\right) + \frac{1}{6} \, \log\left(x^{2} + 1\right)"," ",0,"-1/6*log(x^2 + 4) + 1/6*log(x^2 + 1)","A",0
305,1,27,0,0.942088," ","integrate(1/(4-5*sin(x)),x, algorithm=""fricas"")","\frac{1}{6} \, \log\left(\frac{3}{2} \, \cos\left(x\right) - 2 \, \sin\left(x\right) + \frac{5}{2}\right) - \frac{1}{6} \, \log\left(-\frac{3}{2} \, \cos\left(x\right) - 2 \, \sin\left(x\right) + \frac{5}{2}\right)"," ",0,"1/6*log(3/2*cos(x) - 2*sin(x) + 5/2) - 1/6*log(-3/2*cos(x) - 2*sin(x) + 5/2)","A",0
306,1,22,0,0.905446," ","integrate(x*(c+x)^(1/3),x, algorithm=""fricas"")","-\frac{3}{28} \, {\left(3 \, c^{2} - c x - 4 \, x^{2}\right)} {\left(c + x\right)}^{\frac{1}{3}}"," ",0,"-3/28*(3*c^2 - c*x - 4*x^2)*(c + x)^(1/3)","A",0
307,1,16,0,0.758788," ","integrate(exp(x^(1/3)),x, algorithm=""fricas"")","3 \, {\left(x^{\frac{2}{3}} - 2 \, x^{\frac{1}{3}} + 2\right)} e^{\left(x^{\frac{1}{3}}\right)}"," ",0,"3*(x^(2/3) - 2*x^(1/3) + 2)*e^(x^(1/3))","A",0
308,1,32,0,0.834494," ","integrate(1/(4+x+(1+x)^(1/2)),x, algorithm=""fricas"")","-\frac{2}{11} \, \sqrt{11} \arctan\left(\frac{2}{11} \, \sqrt{11} \sqrt{x + 1} + \frac{1}{11} \, \sqrt{11}\right) + \log\left(x + \sqrt{x + 1} + 4\right)"," ",0,"-2/11*sqrt(11)*arctan(2/11*sqrt(11)*sqrt(x + 1) + 1/11*sqrt(11)) + log(x + sqrt(x + 1) + 4)","A",0
309,1,21,0,0.679382," ","integrate((x^3+1)/(x^3-x^2),x, algorithm=""fricas"")","\frac{x^{2} + 2 \, x \log\left(x - 1\right) - x \log\left(x\right) + 1}{x}"," ",0,"(x^2 + 2*x*log(x - 1) - x*log(x) + 1)/x","A",0
310,1,26,0,0.970240," ","integrate((x^2+4*x-3)*sin(2*x),x, algorithm=""fricas"")","-\frac{1}{4} \, {\left(2 \, x^{2} + 8 \, x - 7\right)} \cos\left(2 \, x\right) + \frac{1}{2} \, {\left(x + 2\right)} \sin\left(2 \, x\right)"," ",0,"-1/4*(2*x^2 + 8*x - 7)*cos(2*x) + 1/2*(x + 2)*sin(2*x)","A",0
311,1,20,0,0.719928," ","integrate(cos(cos(x))*sin(x),x, algorithm=""fricas"")","\sin\left(\frac{\tan\left(\frac{1}{2} \, x\right)^{2} - 1}{\tan\left(\frac{1}{2} \, x\right)^{2} + 1}\right)"," ",0,"sin((tan(1/2*x)^2 - 1)/(tan(1/2*x)^2 + 1))","B",0
312,1,18,0,0.816842," ","integrate(1/(-x^2+16)^(1/2),x, algorithm=""fricas"")","-2 \, \arctan\left(\frac{\sqrt{-x^{2} + 16} - 4}{x}\right)"," ",0,"-2*arctan((sqrt(-x^2 + 16) - 4)/x)","B",0
313,1,62,0,0.787203," ","integrate(x^3/(1+x)^10,x, algorithm=""fricas"")","-\frac{84 \, x^{3} + 36 \, x^{2} + 9 \, x + 1}{504 \, {\left(x^{9} + 9 \, x^{8} + 36 \, x^{7} + 84 \, x^{6} + 126 \, x^{5} + 126 \, x^{4} + 84 \, x^{3} + 36 \, x^{2} + 9 \, x + 1\right)}}"," ",0,"-1/504*(84*x^3 + 36*x^2 + 9*x + 1)/(x^9 + 9*x^8 + 36*x^7 + 84*x^6 + 126*x^5 + 126*x^4 + 84*x^3 + 36*x^2 + 9*x + 1)","B",0
314,1,36,0,0.910946," ","integrate(cot(2*x)^3*csc(2*x)^3,x, algorithm=""fricas"")","-\frac{5 \, \cos\left(2 \, x\right)^{2} - 2}{30 \, {\left(\cos\left(2 \, x\right)^{4} - 2 \, \cos\left(2 \, x\right)^{2} + 1\right)} \sin\left(2 \, x\right)}"," ",0,"-1/30*(5*cos(2*x)^2 - 2)/((cos(2*x)^4 - 2*cos(2*x)^2 + 1)*sin(2*x))","B",0
315,1,22,0,0.668966," ","integrate((x+sin(x))^2,x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} - 2 \, x \cos\left(x\right) - \frac{1}{2} \, {\left(\cos\left(x\right) - 4\right)} \sin\left(x\right) + \frac{1}{2} \, x"," ",0,"1/3*x^3 - 2*x*cos(x) - 1/2*(cos(x) - 4)*sin(x) + 1/2*x","A",0
316,1,3,0,0.707509," ","integrate(exp(arctan(x))/(x^2+1),x, algorithm=""fricas"")","e^{\arctan\left(x\right)}"," ",0,"e^arctan(x)","A",0
317,1,11,0,0.745762," ","integrate(1/x/(x^4+1),x, algorithm=""fricas"")","-\frac{1}{4} \, \log\left(x^{4} + 1\right) + \log\left(x\right)"," ",0,"-1/4*log(x^4 + 1) + log(x)","A",0
318,1,21,0,0.825073," ","integrate(t^3/exp(2*t),t, algorithm=""fricas"")","-\frac{1}{8} \, {\left(4 \, t^{3} + 6 \, t^{2} + 6 \, t + 3\right)} e^{\left(-2 \, t\right)}"," ",0,"-1/8*(4*t^3 + 6*t^2 + 6*t + 3)*e^(-2*t)","A",0
319,1,25,0,0.919977," ","integrate(t^(1/2)/(1+t^(1/3)),t, algorithm=""fricas"")","\frac{6}{7} \, {\left(t - 7\right)} t^{\frac{1}{6}} - \frac{6}{5} \, t^{\frac{5}{6}} + 2 \, \sqrt{t} + 6 \, \arctan\left(t^{\frac{1}{6}}\right)"," ",0,"6/7*(t - 7)*t^(1/6) - 6/5*t^(5/6) + 2*sqrt(t) + 6*arctan(t^(1/6))","A",0
320,1,17,0,0.942271," ","integrate(sin(x)*sin(2*x)*sin(3*x),x, algorithm=""fricas"")","\frac{4}{3} \, \cos\left(x\right)^{6} - \frac{5}{2} \, \cos\left(x\right)^{4} + \cos\left(x\right)^{2}"," ",0,"4/3*cos(x)^6 - 5/2*cos(x)^4 + cos(x)^2","A",0
321,1,10,0,0.811614," ","integrate(log(1/2*x),x, algorithm=""fricas"")","x \log\left(\frac{1}{2} \, x\right) - x"," ",0,"x*log(1/2*x) - x","A",0
322,1,32,0,0.877989," ","integrate(((1+x)/(1-x))^(1/2),x, algorithm=""fricas"")","{\left(x - 1\right)} \sqrt{-\frac{x + 1}{x - 1}} + 2 \, \arctan\left(\sqrt{-\frac{x + 1}{x - 1}}\right)"," ",0,"(x - 1)*sqrt(-(x + 1)/(x - 1)) + 2*arctan(sqrt(-(x + 1)/(x - 1)))","A",0
323,1,27,0,0.865025," ","integrate(x*log(x)/(x^2-1)^(1/2),x, algorithm=""fricas"")","\sqrt{x^{2} - 1} {\left(\log\left(x\right) - 1\right)} + 2 \, \arctan\left(-x + \sqrt{x^{2} - 1}\right)"," ",0,"sqrt(x^2 - 1)*(log(x) - 1) + 2*arctan(-x + sqrt(x^2 - 1))","A",0
324,1,17,0,0.726302," ","integrate((a+x)/(a^2+x^2),x, algorithm=""fricas"")","\arctan\left(\frac{x}{a}\right) + \frac{1}{2} \, \log\left(a^{2} + x^{2}\right)"," ",0,"arctan(x/a) + 1/2*log(a^2 + x^2)","A",0
325,1,37,0,0.794343," ","integrate((-x^2+x+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{-x^{2} + x + 1} {\left(2 \, x - 1\right)} - \frac{5}{4} \, \arctan\left(\frac{\sqrt{-x^{2} + x + 1} - 1}{x}\right)"," ",0,"1/4*sqrt(-x^2 + x + 1)*(2*x - 1) - 5/4*arctan((sqrt(-x^2 + x + 1) - 1)/x)","A",0
326,1,8,0,0.773077," ","integrate(x^4/(x^10+16),x, algorithm=""fricas"")","\frac{1}{20} \, \arctan\left(\frac{1}{4} \, x^{5}\right)"," ",0,"1/20*arctan(1/4*x^5)","A",0
327,1,26,0,0.961693," ","integrate((2+x)/(x^2+x+2),x, algorithm=""fricas"")","\frac{3}{7} \, \sqrt{7} \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(2 \, x + 1\right)}\right) + \frac{1}{2} \, \log\left(x^{2} + x + 2\right)"," ",0,"3/7*sqrt(7)*arctan(1/7*sqrt(7)*(2*x + 1)) + 1/2*log(x^2 + x + 2)","A",0
328,1,29,0,0.978901," ","integrate(x*sec(x)*tan(x),x, algorithm=""fricas"")","-\frac{\cos\left(x\right) \log\left(\sin\left(x\right) + 1\right) - \cos\left(x\right) \log\left(-\sin\left(x\right) + 1\right) - 2 \, x}{2 \, \cos\left(x\right)}"," ",0,"-1/2*(cos(x)*log(sin(x) + 1) - cos(x)*log(-sin(x) + 1) - 2*x)/cos(x)","B",0
329,1,26,0,0.549041," ","integrate(x/(-a^4+x^4),x, algorithm=""fricas"")","-\frac{\log\left(a^{2} + x^{2}\right) - \log\left(-a^{2} + x^{2}\right)}{4 \, a^{2}}"," ",0,"-1/4*(log(a^2 + x^2) - log(-a^2 + x^2))/a^2","A",0
330,1,13,0,0.643687," ","integrate(1/(x^(1/2)+(1+x)^(1/2)),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(x + 1\right)}^{\frac{3}{2}} - \frac{2}{3} \, x^{\frac{3}{2}}"," ",0,"2/3*(x + 1)^(3/2) - 2/3*x^(3/2)","A",0
331,1,17,0,0.755077," ","integrate(1/(1-1/exp(x)+2*exp(x)),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(2 \, e^{x} - 1\right) - \frac{1}{3} \, \log\left(e^{x} + 1\right)"," ",0,"1/3*log(2*e^x - 1) - 1/3*log(e^x + 1)","A",0
332,1,16,0,0.841592," ","integrate(arctan(x^(1/2))/x^(1/2),x, algorithm=""fricas"")","2 \, \sqrt{x} \arctan\left(\sqrt{x}\right) - \log\left(x + 1\right)"," ",0,"2*sqrt(x)*arctan(sqrt(x)) - log(x + 1)","A",0
333,1,19,0,0.640046," ","integrate(log(1+x)/x^2,x, algorithm=""fricas"")","-\frac{{\left(x + 1\right)} \log\left(x + 1\right) - x \log\left(x\right)}{x}"," ",0,"-((x + 1)*log(x + 1) - x*log(x))/x","A",0
334,1,25,0,0.837054," ","integrate(1/(-exp(x)+exp(3*x)),x, algorithm=""fricas"")","-\frac{1}{2} \, {\left(e^{x} \log\left(e^{x} + 1\right) - e^{x} \log\left(e^{x} - 1\right) - 2\right)} e^{\left(-x\right)}"," ",0,"-1/2*(e^x*log(e^x + 1) - e^x*log(e^x - 1) - 2)*e^(-x)","B",0
335,1,15,0,0.859953," ","integrate((1+cos(x)^2)/(-cos(x)^2+1),x, algorithm=""fricas"")","-\frac{x \sin\left(x\right) + 2 \, \cos\left(x\right)}{\sin\left(x\right)}"," ",0,"-(x*sin(x) + 2*cos(x))/sin(x)","A",0
336,1,12,0,1.069250," ","integrate(1/x/(-25+2*x)^(1/2),x, algorithm=""fricas"")","\frac{2}{5} \, \arctan\left(\frac{1}{5} \, \sqrt{2 \, x - 25}\right)"," ",0,"2/5*arctan(1/5*sqrt(2*x - 25))","A",0
337,1,24,0,1.009951," ","integrate(sin(2*x)/(9-cos(x)^4)^(1/2),x, algorithm=""fricas"")","\arctan\left(\frac{\sqrt{-\cos\left(x\right)^{4} + 9} \cos\left(x\right)^{2}}{\cos\left(x\right)^{4} - 9}\right)"," ",0,"arctan(sqrt(-cos(x)^4 + 9)*cos(x)^2/(cos(x)^4 - 9))","B",0
338,1,30,0,0.829706," ","integrate(x^2/(-4*x^2+5)^(1/2),x, algorithm=""fricas"")","-\frac{1}{8} \, \sqrt{-4 \, x^{2} + 5} x - \frac{5}{16} \, \arctan\left(\frac{\sqrt{-4 \, x^{2} + 5}}{2 \, x}\right)"," ",0,"-1/8*sqrt(-4*x^2 + 5)*x - 5/16*arctan(1/2*sqrt(-4*x^2 + 5)/x)","A",0
339,1,21,0,0.677223," ","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
340,1,39,0,0.676236," ","integrate(x*(x^2+2*x+4)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, {\left(2 \, x^{2} + x + 5\right)} \sqrt{x^{2} + 2 \, x + 4} + \frac{3}{2} \, \log\left(-x + \sqrt{x^{2} + 2 \, x + 4} - 1\right)"," ",0,"1/6*(2*x^2 + x + 5)*sqrt(x^2 + 2*x + 4) + 3/2*log(-x + sqrt(x^2 + 2*x + 4) - 1)","A",0
341,1,46,0,0.724180," ","integrate(x*(x^2+5)^8,x, algorithm=""fricas"")","\frac{1}{18} x^{18} + \frac{5}{2} x^{16} + 50 x^{14} + \frac{1750}{3} x^{12} + 4375 x^{10} + 21875 x^{8} + \frac{218750}{3} x^{6} + 156250 x^{4} + \frac{390625}{2} x^{2}"," ",0,"1/18*x^18 + 5/2*x^16 + 50*x^14 + 1750/3*x^12 + 4375*x^10 + 21875*x^8 + 218750/3*x^6 + 156250*x^4 + 390625/2*x^2","B",0
342,1,19,0,0.840098," ","integrate(cos(x)^2*sin(x)^5,x, algorithm=""fricas"")","-\frac{1}{7} \, \cos\left(x\right)^{7} + \frac{2}{5} \, \cos\left(x\right)^{5} - \frac{1}{3} \, \cos\left(x\right)^{3}"," ",0,"-1/7*cos(x)^7 + 2/5*cos(x)^5 - 1/3*cos(x)^3","A",0
343,1,21,0,0.649376," ","integrate(cos(4*x)/exp(3*x),x, algorithm=""fricas"")","-\frac{3}{25} \, \cos\left(4 \, x\right) e^{\left(-3 \, x\right)} + \frac{4}{25} \, e^{\left(-3 \, x\right)} \sin\left(4 \, x\right)"," ",0,"-3/25*cos(4*x)*e^(-3*x) + 4/25*e^(-3*x)*sin(4*x)","A",0
344,1,56,0,0.582913," ","integrate(csc(1/2*x)^3,x, algorithm=""fricas"")","-\frac{{\left(\cos\left(\frac{1}{2} \, x\right)^{2} - 1\right)} \log\left(\frac{1}{2} \, \cos\left(\frac{1}{2} \, x\right) + \frac{1}{2}\right) - {\left(\cos\left(\frac{1}{2} \, x\right)^{2} - 1\right)} \log\left(-\frac{1}{2} \, \cos\left(\frac{1}{2} \, x\right) + \frac{1}{2}\right) - 2 \, \cos\left(\frac{1}{2} \, x\right)}{2 \, {\left(\cos\left(\frac{1}{2} \, x\right)^{2} - 1\right)}}"," ",0,"-1/2*((cos(1/2*x)^2 - 1)*log(1/2*cos(1/2*x) + 1/2) - (cos(1/2*x)^2 - 1)*log(-1/2*cos(1/2*x) + 1/2) - 2*cos(1/2*x))/(cos(1/2*x)^2 - 1)","B",0
345,1,35,0,1.029633," ","integrate((9*x^2-1)^(1/2)/x^2,x, algorithm=""fricas"")","-\frac{3 \, x \log\left(-3 \, x + \sqrt{9 \, x^{2} - 1}\right) + 3 \, x + \sqrt{9 \, x^{2} - 1}}{x}"," ",0,"-(3*x*log(-3*x + sqrt(9*x^2 - 1)) + 3*x + sqrt(9*x^2 - 1))/x","A",0
346,1,28,0,0.828904," ","integrate((-3*x^2+4)^(1/2)/x,x, algorithm=""fricas"")","\sqrt{-3 \, x^{2} + 4} + 2 \, \log\left(\frac{\sqrt{-3 \, x^{2} + 4} - 2}{x}\right)"," ",0,"sqrt(-3*x^2 + 4) + 2*log((sqrt(-3*x^2 + 4) - 2)/x)","A",0
347,1,16,0,0.696173," ","integrate(exp(3*x)*x^2,x, algorithm=""fricas"")","\frac{1}{27} \, {\left(9 \, x^{2} - 6 \, x + 2\right)} e^{\left(3 \, x\right)}"," ",0,"1/27*(9*x^2 - 6*x + 2)*e^(3*x)","A",0
348,1,12,0,0.902730," ","integrate(cos(x)*sin(x)/(1+sin(x))^(1/2),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{\sin\left(x\right) + 1} {\left(\sin\left(x\right) - 2\right)}"," ",0,"2/3*sqrt(sin(x) + 1)*(sin(x) - 2)","A",0
349,1,21,0,0.848827," ","integrate(x*arcsin(x^2),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} \arcsin\left(x^{2}\right) + \frac{1}{2} \, \sqrt{-x^{4} + 1}"," ",0,"1/2*x^2*arcsin(x^2) + 1/2*sqrt(-x^4 + 1)","A",0
350,1,28,0,0.697600," ","integrate(x^3*arcsin(x^2),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{-x^{4} + 1} x^{2} + \frac{1}{8} \, {\left(2 \, x^{4} - 1\right)} \arcsin\left(x^{2}\right)"," ",0,"1/8*sqrt(-x^4 + 1)*x^2 + 1/8*(2*x^4 - 1)*arcsin(x^2)","A",0
351,1,16,0,0.945151," ","integrate(exp(x)*sech(exp(x)),x, algorithm=""fricas"")","2 \, \arctan\left(\cosh\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + \sinh\left(\cosh\left(x\right) + \sinh\left(x\right)\right)\right)"," ",0,"2*arctan(cosh(cosh(x) + sinh(x)) + sinh(cosh(x) + sinh(x)))","B",0
352,1,21,0,0.696509," ","integrate(x^2*cos(3*x),x, algorithm=""fricas"")","\frac{2}{9} \, x \cos\left(3 \, x\right) + \frac{1}{27} \, {\left(9 \, x^{2} - 2\right)} \sin\left(3 \, x\right)"," ",0,"2/9*x*cos(3*x) + 1/27*(9*x^2 - 2)*sin(3*x)","A",0
353,1,47,0,0.541784," ","integrate((-x^2-4*x+5)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-x^{2} - 4 \, x + 5} {\left(x + 2\right)} - \frac{9}{2} \, \arctan\left(\frac{\sqrt{-x^{2} - 4 \, x + 5} {\left(x + 2\right)}}{x^{2} + 4 \, x - 5}\right)"," ",0,"1/2*sqrt(-x^2 - 4*x + 5)*(x + 2) - 9/2*arctan(sqrt(-x^2 - 4*x + 5)*(x + 2)/(x^2 + 4*x - 5))","A",0
354,1,22,0,0.737377," ","integrate(x^5/(x^2+2^(1/2)),x, algorithm=""fricas"")","\frac{1}{4} \, x^{4} - \frac{1}{2} \, \sqrt{2} x^{2} + \log\left(x^{2} + \sqrt{2}\right)"," ",0,"1/4*x^4 - 1/2*sqrt(2)*x^2 + log(x^2 + sqrt(2))","A",0
355,1,43,0,0.937491," ","integrate(sec(x)^5,x, algorithm=""fricas"")","\frac{3 \, \cos\left(x\right)^{4} \log\left(\sin\left(x\right) + 1\right) - 3 \, \cos\left(x\right)^{4} \log\left(-\sin\left(x\right) + 1\right) + 2 \, {\left(3 \, \cos\left(x\right)^{2} + 2\right)} \sin\left(x\right)}{16 \, \cos\left(x\right)^{4}}"," ",0,"1/16*(3*cos(x)^4*log(sin(x) + 1) - 3*cos(x)^4*log(-sin(x) + 1) + 2*(3*cos(x)^2 + 2)*sin(x))/cos(x)^4","B",0
356,1,33,0,0.834080," ","integrate(sin(2*x)^6,x, algorithm=""fricas"")","-\frac{1}{96} \, {\left(8 \, \cos\left(2 \, x\right)^{5} - 26 \, \cos\left(2 \, x\right)^{3} + 33 \, \cos\left(2 \, x\right)\right)} \sin\left(2 \, x\right) + \frac{5}{16} \, x"," ",0,"-1/96*(8*cos(2*x)^5 - 26*cos(2*x)^3 + 33*cos(2*x))*sin(2*x) + 5/16*x","A",0
357,1,24,0,0.884232," ","integrate(cos(x)*log(sin(x))*sin(x)^2,x, algorithm=""fricas"")","-\frac{1}{3} \, {\left(\cos\left(x\right)^{2} - 1\right)} \log\left(\sin\left(x\right)\right) \sin\left(x\right) + \frac{1}{9} \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)"," ",0,"-1/3*(cos(x)^2 - 1)*log(sin(x))*sin(x) + 1/9*(cos(x)^2 - 1)*sin(x)","A",0
358,1,24,0,0.869971," ","integrate(1/exp(x)/(1+2*exp(x)),x, algorithm=""fricas"")","-{\left(2 \, x e^{x} - 2 \, e^{x} \log\left(2 \, e^{x} + 1\right) + 1\right)} e^{\left(-x\right)}"," ",0,"-(2*x*e^x - 2*e^x*log(2*e^x + 1) + 1)*e^(-x)","A",0
359,1,58,0,0.783031," ","integrate((2+3*cos(x))^(1/2)*tan(x),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \log\left(-\frac{9 \, \cos\left(x\right)^{2} + 4 \, {\left(3 \, \sqrt{2} \cos\left(x\right) + 4 \, \sqrt{2}\right)} \sqrt{3 \, \cos\left(x\right) + 2} + 48 \, \cos\left(x\right) + 32}{\cos\left(x\right)^{2}}\right) - 2 \, \sqrt{3 \, \cos\left(x\right) + 2}"," ",0,"1/2*sqrt(2)*log(-(9*cos(x)^2 + 4*(3*sqrt(2)*cos(x) + 4*sqrt(2))*sqrt(3*cos(x) + 2) + 48*cos(x) + 32)/cos(x)^2) - 2*sqrt(3*cos(x) + 2)","A",0
360,1,27,0,1.017004," ","integrate(x/(x^2-4*x)^(1/2),x, algorithm=""fricas"")","\sqrt{x^{2} - 4 \, x} - 2 \, \log\left(-x + \sqrt{x^{2} - 4 \, x} + 2\right)"," ",0,"sqrt(x^2 - 4*x) - 2*log(-x + sqrt(x^2 - 4*x) + 2)","A",0
361,1,18,0,0.928691," ","integrate(cos(x)^5,x, algorithm=""fricas"")","\frac{1}{15} \, {\left(3 \, \cos\left(x\right)^{4} + 4 \, \cos\left(x\right)^{2} + 8\right)} \sin\left(x\right)"," ",0,"1/15*(3*cos(x)^4 + 4*cos(x)^2 + 8)*sin(x)","A",0
362,1,24,0,0.774688," ","integrate(x^4/exp(x),x, algorithm=""fricas"")","-{\left(x^{4} + 4 \, x^{3} + 12 \, x^{2} + 24 \, x + 24\right)} e^{\left(-x\right)}"," ",0,"-(x^4 + 4*x^3 + 12*x^2 + 24*x + 24)*e^(-x)","A",0
363,1,16,0,0.712509," ","integrate(x^4/(x^10-2)^(1/2),x, algorithm=""fricas"")","-\frac{1}{5} \, \log\left(-x^{5} + \sqrt{x^{10} - 2}\right)"," ",0,"-1/5*log(-x^5 + sqrt(x^10 - 2))","A",0
364,1,21,0,0.818460," ","integrate(exp(x)*cos(4+3*x),x, algorithm=""fricas"")","\frac{1}{10} \, \cos\left(3 \, x + 4\right) e^{x} + \frac{3}{10} \, e^{x} \sin\left(3 \, x + 4\right)"," ",0,"1/10*cos(3*x + 4)*e^x + 3/10*e^x*sin(3*x + 4)","A",0
365,1,15,0,0.836444," ","integrate(exp(x)*log(1+exp(x)),x, algorithm=""fricas"")","{\left(e^{x} + 1\right)} \log\left(e^{x} + 1\right) - e^{x}"," ",0,"(e^x + 1)*log(e^x + 1) - e^x","A",0
366,1,21,0,0.978583," ","integrate(x^2*arctan(x),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} \arctan\left(x\right) - \frac{1}{6} \, x^{2} + \frac{1}{6} \, \log\left(x^{2} + 1\right)"," ",0,"1/3*x^3*arctan(x) - 1/6*x^2 + 1/6*log(x^2 + 1)","A",0
367,1,20,0,0.723525," ","integrate((-1+exp(2*x))^(1/2),x, algorithm=""fricas"")","\sqrt{e^{\left(2 \, x\right)} - 1} - \arctan\left(\sqrt{e^{\left(2 \, x\right)} - 1}\right)"," ",0,"sqrt(e^(2*x) - 1) - arctan(sqrt(e^(2*x) - 1))","A",0
368,1,9,0,0.921456," ","integrate(exp(sin(x))*sin(2*x),x, algorithm=""fricas"")","2 \, {\left(\sin\left(x\right) - 1\right)} e^{\sin\left(x\right)}"," ",0,"2*(sin(x) - 1)*e^sin(x)","A",0
369,1,37,0,0.838458," ","integrate(x^2*(-x^2+5)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, {\left(2 \, x^{3} - 5 \, x\right)} \sqrt{-x^{2} + 5} - \frac{25}{8} \, \arctan\left(\frac{\sqrt{-x^{2} + 5}}{x}\right)"," ",0,"1/8*(2*x^3 - 5*x)*sqrt(-x^2 + 5) - 25/8*arctan(sqrt(-x^2 + 5)/x)","A",0
370,1,26,0,0.848732," ","integrate(x^2*(x^3+1)^4,x, algorithm=""fricas"")","\frac{1}{15} x^{15} + \frac{1}{3} x^{12} + \frac{2}{3} x^{9} + \frac{2}{3} x^{6} + \frac{1}{3} x^{3}"," ",0,"1/15*x^15 + 1/3*x^12 + 2/3*x^9 + 2/3*x^6 + 1/3*x^3","B",0
371,1,13,0,0.793937," ","integrate(cos(x)^3*sin(x)^3,x, algorithm=""fricas"")","\frac{1}{6} \, \cos\left(x\right)^{6} - \frac{1}{4} \, \cos\left(x\right)^{4}"," ",0,"1/6*cos(x)^6 - 1/4*cos(x)^4","A",0
372,1,20,0,0.784395," ","integrate(sec(x)^4*tan(x)^2,x, algorithm=""fricas"")","-\frac{{\left(2 \, \cos\left(x\right)^{4} + \cos\left(x\right)^{2} - 3\right)} \sin\left(x\right)}{15 \, \cos\left(x\right)^{5}}"," ",0,"-1/15*(2*cos(x)^4 + cos(x)^2 - 3)*sin(x)/cos(x)^5","A",0
373,1,17,0,0.927478," ","integrate(x*(1+2*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{15} \, {\left(6 \, x^{2} + x - 1\right)} \sqrt{2 \, x + 1}"," ",0,"1/15*(6*x^2 + x - 1)*sqrt(2*x + 1)","A",0
374,1,19,0,0.642118," ","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
375,1,18,0,0.714944," ","integrate(tan(x)^3,x, algorithm=""fricas"")","\frac{1}{2} \, \tan\left(x\right)^{2} + \frac{1}{2} \, \log\left(\frac{1}{\tan\left(x\right)^{2} + 1}\right)"," ",0,"1/2*tan(x)^2 + 1/2*log(1/(tan(x)^2 + 1))","A",0
376,1,26,0,0.804456," ","integrate(x^5*(x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{105} \, {\left(15 \, x^{6} + 3 \, x^{4} - 4 \, x^{2} + 8\right)} \sqrt{x^{2} + 1}"," ",0,"1/105*(15*x^6 + 3*x^4 - 4*x^2 + 8)*sqrt(x^2 + 1)","A",0
