1,1,25,0,1.170418," ","integrate(1/(-b^2*x^2+a^2),x, algorithm=""fricas"")","\frac{\log\left(b x + a\right) - \log\left(b x - a\right)}{2 \, a b}"," ",0,"1/2*(log(b*x + a) - log(b*x - a))/(a*b)","A",0
2,1,14,0,0.592992," ","integrate(1/(b^2*x^2+a^2),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{b x}{a}\right)}{a b}"," ",0,"arctan(b*x/a)/(a*b)","A",0
3,1,26,0,1.158654," ","integrate(sec(2*a*x),x, algorithm=""fricas"")","\frac{\log\left(\sin\left(2 \, a x\right) + 1\right) - \log\left(-\sin\left(2 \, a x\right) + 1\right)}{4 \, a}"," ",0,"1/4*(log(sin(2*a*x) + 1) - log(-sin(2*a*x) + 1))/a","B",0
4,1,23,0,0.955681," ","integrate(1/4/sin(1/3*x),x, algorithm=""fricas"")","-\frac{3}{8} \, \log\left(\frac{1}{2} \, \cos\left(\frac{1}{3} \, x\right) + \frac{1}{2}\right) + \frac{3}{8} \, \log\left(-\frac{1}{2} \, \cos\left(\frac{1}{3} \, x\right) + \frac{1}{2}\right)"," ",0,"-3/8*log(1/2*cos(1/3*x) + 1/2) + 3/8*log(-1/2*cos(1/3*x) + 1/2)","B",0
5,1,29,0,1.092454," ","integrate(-1/cos(1/4*pi+2*x),x, algorithm=""fricas"")","-\frac{1}{4} \, \log\left(\sin\left(\frac{1}{4} \, \pi + 2 \, x\right) + 1\right) + \frac{1}{4} \, \log\left(-\sin\left(\frac{1}{4} \, \pi + 2 \, x\right) + 1\right)"," ",0,"-1/4*log(sin(1/4*pi + 2*x) + 1) + 1/4*log(-sin(1/4*pi + 2*x) + 1)","B",0
6,1,4,0,1.146616," ","integrate(sec(x)*tan(x),x, algorithm=""fricas"")","\frac{1}{\cos\left(x\right)}"," ",0,"1/cos(x)","A",0
7,1,6,0,1.021082," ","integrate(cot(x)*csc(x),x, algorithm=""fricas"")","-\frac{1}{\sin\left(x\right)}"," ",0,"-1/sin(x)","A",0
8,1,4,0,1.155306," ","integrate(tan(x)/sin(2*x),x, algorithm=""fricas"")","\frac{1}{2} \, \tan\left(x\right)"," ",0,"1/2*tan(x)","A",0
9,1,9,0,0.705165," ","integrate(1/(1+cos(x)),x, algorithm=""fricas"")","\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}"," ",0,"sin(x)/(cos(x) + 1)","A",0
10,1,10,0,1.052035," ","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
11,1,12,0,0.871124," ","integrate(sin(x)/(a-b*cos(x)),x, algorithm=""fricas"")","\frac{\log\left(-b \cos\left(x\right) + a\right)}{b}"," ",0,"log(-b*cos(x) + a)/b","A",0
12,1,15,0,1.062472," ","integrate(cos(x)/(a^2+b^2*sin(x)^2),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{b \sin\left(x\right)}{a}\right)}{a b}"," ",0,"arctan(b*sin(x)/a)/(a*b)","A",0
13,1,26,0,0.866899," ","integrate(cos(x)/(a^2-b^2*sin(x)^2),x, algorithm=""fricas"")","\frac{\log\left(b \sin\left(x\right) + a\right) - \log\left(-b \sin\left(x\right) + a\right)}{2 \, a b}"," ",0,"1/2*(log(b*sin(x) + a) - log(-b*sin(x) + a))/(a*b)","A",0
14,1,21,0,1.036644," ","integrate(sin(2*x)/(a^2+b^2*sin(x)^2),x, algorithm=""fricas"")","\frac{\log\left(-b^{2} \cos\left(x\right)^{2} + a^{2} + b^{2}\right)}{b^{2}}"," ",0,"log(-b^2*cos(x)^2 + a^2 + b^2)/b^2","A",0
15,1,23,0,1.095675," ","integrate(sin(2*x)/(a^2-b^2*sin(x)^2),x, algorithm=""fricas"")","-\frac{\log\left(b^{2} \cos\left(x\right)^{2} + a^{2} - b^{2}\right)}{b^{2}}"," ",0,"-log(b^2*cos(x)^2 + a^2 - b^2)/b^2","A",0
16,1,18,0,0.796771," ","integrate(sin(2*x)/(a^2+b^2*cos(x)^2),x, algorithm=""fricas"")","-\frac{\log\left(b^{2} \cos\left(x\right)^{2} + a^{2}\right)}{b^{2}}"," ",0,"-log(b^2*cos(x)^2 + a^2)/b^2","A",0
17,1,19,0,1.148882," ","integrate(sin(2*x)/(a^2-b^2*cos(x)^2),x, algorithm=""fricas"")","\frac{\log\left(b^{2} \cos\left(x\right)^{2} - a^{2}\right)}{b^{2}}"," ",0,"log(b^2*cos(x)^2 - a^2)/b^2","A",0
18,1,31,0,1.195507," ","integrate(1/(4-cos(x)^2),x, algorithm=""fricas"")","-\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{7 \, \sqrt{3} \cos\left(x\right)^{2} - 4 \, \sqrt{3}}{12 \, \cos\left(x\right) \sin\left(x\right)}\right)"," ",0,"-1/12*sqrt(3)*arctan(1/12*(7*sqrt(3)*cos(x)^2 - 4*sqrt(3))/(cos(x)*sin(x)))","A",0
19,1,15,0,0.878325," ","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
20,1,3,0,0.972510," ","integrate(1/x/log(x),x, algorithm=""fricas"")","\log\left(\log\left(x\right)\right)"," ",0,"log(log(x))","A",0
21,1,3,0,0.774789," ","integrate(1/x/(1+log(x)^2),x, algorithm=""fricas"")","\arctan\left(\log\left(x\right)\right)"," ",0,"arctan(log(x))","A",0
22,1,7,0,1.028136," ","integrate(1/x/(1-log(x)),x, algorithm=""fricas"")","-\log\left(\log\left(x\right) - 1\right)"," ",0,"-log(log(x) - 1)","A",0
23,1,9,0,1.380409," ","integrate(1/x/(1+log(x/a)),x, algorithm=""fricas"")","\log\left(\log\left(\frac{x}{a}\right) + 1\right)"," ",0,"log(log(x/a) + 1)","A",0
24,1,24,0,1.079027," ","integrate((1+x-x^(1/2))^2/x^2,x, algorithm=""fricas"")","\frac{x^{2} + 6 \, x \log\left(\sqrt{x}\right) - 4 \, {\left(x - 1\right)} \sqrt{x} - 1}{x}"," ",0,"(x^2 + 6*x*log(sqrt(x)) - 4*(x - 1)*sqrt(x) - 1)/x","A",0
25,1,22,0,1.109854," ","integrate((2-x^(2/3))*(x+x^(1/2))/x^(3/2),x, algorithm=""fricas"")","-\frac{6}{7} \, x^{\frac{7}{6}} - \frac{3}{2} \, x^{\frac{2}{3}} + 4 \, \sqrt{x} + 12 \, \log\left(x^{\frac{1}{6}}\right)"," ",0,"-6/7*x^(7/6) - 3/2*x^(2/3) + 4*sqrt(x) + 12*log(x^(1/6))","A",0
26,1,10,0,1.017463," ","integrate((-1+2*x)/(3+2*x),x, algorithm=""fricas"")","x - 2 \, \log\left(2 \, x + 3\right)"," ",0,"x - 2*log(2*x + 3)","A",0
27,1,40,0,1.081453," ","integrate((-5+2*x)/(3*x^2-2),x, algorithm=""fricas"")","\frac{5}{12} \, \sqrt{6} \log\left(\frac{3 \, x^{2} + 2 \, \sqrt{6} x + 2}{3 \, x^{2} - 2}\right) + \frac{1}{3} \, \log\left(3 \, x^{2} - 2\right)"," ",0,"5/12*sqrt(6)*log((3*x^2 + 2*sqrt(6)*x + 2)/(3*x^2 - 2)) + 1/3*log(3*x^2 - 2)","A",0
28,1,23,0,0.975660," ","integrate((-5+2*x)/(3*x^2+2),x, algorithm=""fricas"")","-\frac{5}{6} \, \sqrt{6} \arctan\left(\frac{1}{2} \, \sqrt{6} x\right) + \frac{1}{3} \, \log\left(3 \, x^{2} + 2\right)"," ",0,"-5/6*sqrt(6)*arctan(1/2*sqrt(6)*x) + 1/3*log(3*x^2 + 2)","A",0
29,1,24,0,0.997441," ","integrate(sin(1/4*x)*sin(x),x, algorithm=""fricas"")","-\frac{16}{15} \, {\left(6 \, \cos\left(\frac{1}{4} \, x\right)^{4} - 7 \, \cos\left(\frac{1}{4} \, x\right)^{2} + 1\right)} \sin\left(\frac{1}{4} \, x\right)"," ",0,"-16/15*(6*cos(1/4*x)^4 - 7*cos(1/4*x)^2 + 1)*sin(1/4*x)","A",0
30,1,24,0,1.089474," ","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
31,1,89,0,1.119052," ","integrate(-tan(x)*tan(a-x),x, algorithm=""fricas"")","\frac{{\left(\cos\left(2 \, a\right) + 1\right)} \log\left(-\frac{{\left(\cos\left(2 \, a\right) - 1\right)} \tan\left(x\right)^{2} - 2 \, \sin\left(2 \, a\right) \tan\left(x\right) - \cos\left(2 \, a\right) - 1}{{\left(\cos\left(2 \, a\right) + 1\right)} \tan\left(x\right)^{2} + \cos\left(2 \, a\right) + 1}\right) - {\left(\cos\left(2 \, a\right) + 1\right)} \log\left(\frac{1}{\tan\left(x\right)^{2} + 1}\right) - 2 \, x \sin\left(2 \, a\right)}{2 \, \sin\left(2 \, a\right)}"," ",0,"1/2*((cos(2*a) + 1)*log(-((cos(2*a) - 1)*tan(x)^2 - 2*sin(2*a)*tan(x) - cos(2*a) - 1)/((cos(2*a) + 1)*tan(x)^2 + cos(2*a) + 1)) - (cos(2*a) + 1)*log(1/(tan(x)^2 + 1)) - 2*x*sin(2*a))/sin(2*a)","B",0
32,1,10,0,1.058900," ","integrate(sin(x)^2,x, algorithm=""fricas"")","-\frac{1}{2} \, \cos\left(x\right) \sin\left(x\right) + \frac{1}{2} \, x"," ",0,"-1/2*cos(x)*sin(x) + 1/2*x","A",0
33,1,10,0,1.139153," ","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
34,1,6,0,1.332656," ","integrate(cos(x)^3*sin(x),x, algorithm=""fricas"")","-\frac{1}{4} \, \cos\left(x\right)^{4}"," ",0,"-1/4*cos(x)^4","A",0
35,1,22,0,1.061314," ","integrate(cos(x)^3/sin(x)^4,x, algorithm=""fricas"")","\frac{3 \, \cos\left(x\right)^{2} - 2}{3 \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)}"," ",0,"1/3*(3*cos(x)^2 - 2)/((cos(x)^2 - 1)*sin(x))","A",0
36,1,18,0,1.335566," ","integrate(1/cos(x)^2/sin(x)^2,x, algorithm=""fricas"")","-\frac{2 \, \cos\left(x\right)^{2} - 1}{\cos\left(x\right) \sin\left(x\right)}"," ",0,"-(2*cos(x)^2 - 1)/(cos(x)*sin(x))","B",0
37,1,23,0,0.995586," ","integrate(cot(3/4*x)^2,x, algorithm=""fricas"")","-\frac{3 \, x \sin\left(\frac{3}{2} \, x\right) + 4 \, \cos\left(\frac{3}{2} \, x\right) + 4}{3 \, \sin\left(\frac{3}{2} \, x\right)}"," ",0,"-1/3*(3*x*sin(3/2*x) + 4*cos(3/2*x) + 4)/sin(3/2*x)","B",0
38,1,20,0,0.802300," ","integrate((1+tan(2*x))^2,x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(\frac{1}{\tan\left(2 \, x\right)^{2} + 1}\right) + \frac{1}{2} \, \tan\left(2 \, x\right)"," ",0,"-1/2*log(1/(tan(2*x)^2 + 1)) + 1/2*tan(2*x)","A",0
39,1,19,0,0.898140," ","integrate((-cot(x)+tan(x))^2,x, algorithm=""fricas"")","-\frac{4 \, x \tan\left(x\right) - \tan\left(x\right)^{2} + 1}{\tan\left(x\right)}"," ",0,"-(4*x*tan(x) - tan(x)^2 + 1)/tan(x)","A",0
40,1,25,0,0.998781," ","integrate((-sec(x)+tan(x))^2,x, algorithm=""fricas"")","-\frac{{\left(x + 2\right)} \cos\left(x\right) + {\left(x - 2\right)} \sin\left(x\right) + x + 2}{\cos\left(x\right) + \sin\left(x\right) + 1}"," ",0,"-((x + 2)*cos(x) + (x - 2)*sin(x) + x + 2)/(cos(x) + sin(x) + 1)","A",0
41,1,24,0,1.030715," ","integrate(sin(x)/(1+sin(x)),x, algorithm=""fricas"")","\frac{{\left(x + 1\right)} \cos\left(x\right) + {\left(x - 1\right)} \sin\left(x\right) + x + 1}{\cos\left(x\right) + \sin\left(x\right) + 1}"," ",0,"((x + 1)*cos(x) + (x - 1)*sin(x) + x + 1)/(cos(x) + sin(x) + 1)","B",0
42,1,14,0,0.913188," ","integrate(cos(x)/(1-cos(x)),x, algorithm=""fricas"")","-\frac{x \sin\left(x\right) + \cos\left(x\right) + 1}{\sin\left(x\right)}"," ",0,"-(x*sin(x) + cos(x) + 1)/sin(x)","A",0
43,1,22,0,0.937005," ","integrate((-1+exp(1/2*x))^3/exp(1/2*x),x, algorithm=""fricas"")","{\left(3 \, x e^{\left(\frac{1}{2} \, x\right)} + e^{\left(\frac{3}{2} \, x\right)} - 6 \, e^{x} + 2\right)} e^{\left(-\frac{1}{2} \, x\right)}"," ",0,"(3*x*e^(1/2*x) + e^(3/2*x) - 6*e^x + 2)*e^(-1/2*x)","A",0
44,1,13,0,0.699645," ","integrate(1/(x^2-6*x+5),x, algorithm=""fricas"")","-\frac{1}{4} \, \log\left(x - 1\right) + \frac{1}{4} \, \log\left(x - 5\right)"," ",0,"-1/4*log(x - 1) + 1/4*log(x - 5)","A",0
45,1,10,0,1.238733," ","integrate(x^2/(x^6-6*x^3+13),x, algorithm=""fricas"")","\frac{1}{6} \, \arctan\left(\frac{1}{2} \, x^{3} - \frac{3}{2}\right)"," ",0,"1/6*arctan(1/2*x^3 - 3/2)","A",0
46,1,45,0,0.841990," ","integrate((2+x)/(x^2-4*x-1),x, algorithm=""fricas"")","\frac{2}{5} \, \sqrt{5} \log\left(\frac{x^{2} - 2 \, \sqrt{5} {\left(x - 2\right)} - 4 \, x + 9}{x^{2} - 4 \, x - 1}\right) + \frac{1}{2} \, \log\left(x^{2} - 4 \, x - 1\right)"," ",0,"2/5*sqrt(5)*log((x^2 - 2*sqrt(5)*(x - 2) - 4*x + 9)/(x^2 - 4*x - 1)) + 1/2*log(x^2 - 4*x - 1)","A",0
47,1,25,0,0.755482," ","integrate(1/(1+(1+x)^(1/3)),x, algorithm=""fricas"")","\frac{3}{2} \, {\left(x + 1\right)}^{\frac{2}{3}} - 3 \, {\left(x + 1\right)}^{\frac{1}{3}} + 3 \, \log\left({\left(x + 1\right)}^{\frac{1}{3}} + 1\right)"," ",0,"3/2*(x + 1)^(2/3) - 3*(x + 1)^(1/3) + 3*log((x + 1)^(1/3) + 1)","A",0
48,1,68,0,1.495057," ","integrate(1/(a*x+b)/x^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a b} \log\left(\frac{a x - b - 2 \, \sqrt{-a b} \sqrt{x}}{a x + b}\right)}{a b}, -\frac{2 \, \sqrt{a b} \arctan\left(\frac{\sqrt{a b}}{a \sqrt{x}}\right)}{a b}\right]"," ",0,"[-sqrt(-a*b)*log((a*x - b - 2*sqrt(-a*b)*sqrt(x))/(a*x + b))/(a*b), -2*sqrt(a*b)*arctan(sqrt(a*b)/(a*sqrt(x)))/(a*b)]","A",0
49,1,19,0,0.802263," ","integrate(x^3*(x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{15} \, {\left(3 \, x^{4} + x^{2} - 2\right)} \sqrt{x^{2} + 1}"," ",0,"1/15*(3*x^4 + x^2 - 2)*sqrt(x^2 + 1)","A",0
50,1,25,0,0.937786," ","integrate(x/(a^4-x^4)^(1/2),x, algorithm=""fricas"")","-\arctan\left(-\frac{a^{2} - \sqrt{a^{4} - x^{4}}}{x^{2}}\right)"," ",0,"-arctan(-(a^2 - sqrt(a^4 - x^4))/x^2)","A",0
51,1,26,0,0.943697," ","integrate(1/x/(-a^2+x^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \arctan\left(-\frac{x - \sqrt{-a^{2} + x^{2}}}{a}\right)}{a}"," ",0,"2*arctan(-(x - sqrt(-a^2 + x^2))/a)/a","A",0
52,1,25,0,0.879874," ","integrate(1/x/(a^2-x^2)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(-\frac{a - \sqrt{a^{2} - x^{2}}}{x}\right)}{a}"," ",0,"log(-(a - sqrt(a^2 - x^2))/x)/a","A",0
53,1,40,0,0.868405," ","integrate(1/x/(a^2+x^2)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(a - x + \sqrt{a^{2} + x^{2}}\right) - \log\left(-a - x + \sqrt{a^{2} + x^{2}}\right)}{a}"," ",0,"-(log(a - x + sqrt(a^2 + x^2)) - log(-a - x + sqrt(a^2 + x^2)))/a","B",0
54,1,30,0,0.914251," ","integrate(1/(-x^2+x+2)^(1/2),x, algorithm=""fricas"")","-\arctan\left(\frac{\sqrt{-x^{2} + x + 2} {\left(2 \, x - 1\right)}}{2 \, {\left(x^{2} - x - 2\right)}}\right)"," ",0,"-arctan(1/2*sqrt(-x^2 + x + 2)*(2*x - 1)/(x^2 - x - 2))","B",0
55,1,38,0,0.965686," ","integrate(1/(3*x^2-4*x+5)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \log\left(-2 \, \sqrt{3} \sqrt{3 \, x^{2} - 4 \, x + 5} {\left(3 \, x - 2\right)} - 18 \, x^{2} + 24 \, x - 19\right)"," ",0,"1/6*sqrt(3)*log(-2*sqrt(3)*sqrt(3*x^2 - 4*x + 5)*(3*x - 2) - 18*x^2 + 24*x - 19)","B",0
56,1,16,0,0.934979," ","integrate(1/(-x^2+x)^(1/2),x, algorithm=""fricas"")","-2 \, \arctan\left(\frac{\sqrt{-x^{2} + x}}{x}\right)"," ",0,"-2*arctan(sqrt(-x^2 + x)/x)","B",0
57,1,43,0,0.832586," ","integrate((1+2*x)/(-x^2+x+2)^(1/2),x, algorithm=""fricas"")","-2 \, \sqrt{-x^{2} + x + 2} - 2 \, \arctan\left(\frac{\sqrt{-x^{2} + x + 2} {\left(2 \, x - 1\right)}}{2 \, {\left(x^{2} - x - 2\right)}}\right)"," ",0,"-2*sqrt(-x^2 + x + 2) - 2*arctan(1/2*sqrt(-x^2 + x + 2)*(2*x - 1)/(x^2 - x - 2))","B",0
58,1,39,0,0.898084," ","integrate(1/x/(-x^2+x+2)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(-\frac{4 \, \sqrt{2} \sqrt{-x^{2} + x + 2} {\left(x + 4\right)} + 7 \, x^{2} - 16 \, x - 32}{x^{2}}\right)"," ",0,"1/4*sqrt(2)*log(-(4*sqrt(2)*sqrt(-x^2 + x + 2)*(x + 4) + 7*x^2 - 16*x - 32)/x^2)","A",0
59,1,17,0,0.719128," ","integrate(1/(-2+x)/(-x^2+x+2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{-x^{2} + x + 2}}{3 \, {\left(x - 2\right)}}"," ",0,"2/3*sqrt(-x^2 + x + 2)/(x - 2)","A",0
60,1,39,0,0.929163," ","integrate((2+3*sin(x))/(1-cos(x))/sin(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) - 6 \, \sin\left(x\right) - 2}{2 \, {\left(\cos\left(x\right) - 1\right)}}"," ",0,"-1/2*((cos(x) - 1)*log(1/2*cos(x) + 1/2) - (cos(x) - 1)*log(-1/2*cos(x) + 1/2) - 6*sin(x) - 2)/(cos(x) - 1)","A",0
61,1,31,0,0.981559," ","integrate(1/(2+3*cos(x)^2),x, algorithm=""fricas"")","-\frac{1}{20} \, \sqrt{10} \arctan\left(\frac{7 \, \sqrt{10} \cos\left(x\right)^{2} - 2 \, \sqrt{10}}{20 \, \cos\left(x\right) \sin\left(x\right)}\right)"," ",0,"-1/20*sqrt(10)*arctan(1/20*(7*sqrt(10)*cos(x)^2 - 2*sqrt(10))/(cos(x)*sin(x)))","A",0
62,1,32,0,1.202756," ","integrate((1-tan(x))/sin(2*x),x, algorithm=""fricas"")","\frac{1}{4} \, \log\left(\frac{\tan\left(x\right)^{2}}{\tan\left(x\right)^{2} + 1}\right) - \frac{1}{4} \, \log\left(\frac{1}{\tan\left(x\right)^{2} + 1}\right) - \frac{1}{2} \, \tan\left(x\right)"," ",0,"1/4*log(tan(x)^2/(tan(x)^2 + 1)) - 1/4*log(1/(tan(x)^2 + 1)) - 1/2*tan(x)","B",0
63,1,45,0,0.912702," ","integrate((1+tan(x)^2)/(1-tan(x)^2),x, algorithm=""fricas"")","\frac{1}{4} \, \log\left(\frac{\tan\left(x\right)^{2} + 2 \, \tan\left(x\right) + 1}{\tan\left(x\right)^{2} + 1}\right) - \frac{1}{4} \, \log\left(\frac{\tan\left(x\right)^{2} - 2 \, \tan\left(x\right) + 1}{\tan\left(x\right)^{2} + 1}\right)"," ",0,"1/4*log((tan(x)^2 + 2*tan(x) + 1)/(tan(x)^2 + 1)) - 1/4*log((tan(x)^2 - 2*tan(x) + 1)/(tan(x)^2 + 1))","B",0
64,1,14,0,1.055780," ","integrate((a^2-4*cos(x)^2)^(3/4)*sin(2*x),x, algorithm=""fricas"")","\frac{1}{7} \, {\left(a^{2} - 4 \, \cos\left(x\right)^{2}\right)}^{\frac{7}{4}}"," ",0,"1/7*(a^2 - 4*cos(x)^2)^(7/4)","A",0
65,1,15,0,1.002006," ","integrate(sin(2*x)/(a^2-4*sin(x)^2)^(1/3),x, algorithm=""fricas"")","-\frac{3}{8} \, {\left(a^{2} + 4 \, \cos\left(x\right)^{2} - 4\right)}^{\frac{2}{3}}"," ",0,"-3/8*(a^2 + 4*cos(x)^2 - 4)^(2/3)","A",0
66,1,15,0,0.859374," ","integrate(1/(-1+a^(2*x))^(1/2),x, algorithm=""fricas"")","\frac{\arctan\left(\sqrt{a^{2 \, x} - 1}\right)}{\log\left(a\right)}"," ",0,"arctan(sqrt(a^(2*x) - 1))/log(a)","A",0
67,1,16,0,0.592935," ","integrate(exp(1/2*x)/(-1+exp(x))^(1/2),x, algorithm=""fricas"")","-2 \, \log\left(\sqrt{e^{x} - 1} - e^{\left(\frac{1}{2} \, x\right)}\right)"," ",0,"-2*log(sqrt(e^x - 1) - e^(1/2*x))","A",0
68,1,12,0,0.950650," ","integrate(arctan(x)^n/(x^2+1),x, algorithm=""fricas"")","\frac{\arctan\left(x\right)^{n} \arctan\left(x\right)}{n + 1}"," ",0,"arctan(x)^n*arctan(x)/(n + 1)","A",0
69,1,38,0,0.600538," ","integrate(arcsin(x/a)^(3/2)/(a^2-x^2)^(1/2),x, algorithm=""fricas"")","\frac{2}{5} \, \sqrt{-\arctan\left(-\frac{x}{\sqrt{a^{2} - x^{2}}}\right)} \arctan\left(-\frac{x}{\sqrt{a^{2} - x^{2}}}\right)^{2}"," ",0,"2/5*sqrt(-arctan(-x/sqrt(a^2 - x^2)))*arctan(-x/sqrt(a^2 - x^2))^2","A",0
70,1,6,0,0.900548," ","integrate(1/arccos(x)^3/(-x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2 \, \arccos\left(x\right)^{2}}"," ",0,"1/2/arccos(x)^2","A",0
71,1,22,0,0.917872," ","integrate(x*log(x)^2,x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} \log\left(x\right)^{2} - \frac{1}{2} \, x^{2} \log\left(x\right) + \frac{1}{4} \, x^{2}"," ",0,"1/2*x^2*log(x)^2 - 1/2*x^2*log(x) + 1/4*x^2","A",0
72,1,11,0,0.857338," ","integrate(log(x)/x^5,x, algorithm=""fricas"")","-\frac{4 \, \log\left(x\right) + 1}{16 \, x^{4}}"," ",0,"-1/16*(4*log(x) + 1)/x^4","A",0
73,1,28,0,0.932834," ","integrate(x^2*log((-1+x)/x),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} \log\left(\frac{x - 1}{x}\right) - \frac{1}{6} \, x^{2} - \frac{1}{3} \, x - \frac{1}{3} \, \log\left(x - 1\right)"," ",0,"1/3*x^3*log((x - 1)/x) - 1/6*x^2 - 1/3*x - 1/3*log(x - 1)","A",0
74,1,18,0,0.892285," ","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
75,1,25,0,0.879878," ","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
76,1,69,0,0.968634," ","integrate(1/sin(x)^5,x, algorithm=""fricas"")","\frac{6 \, \cos\left(x\right)^{3} - 3 \, {\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \log\left(\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) + 3 \, {\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \log\left(-\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) - 10 \, \cos\left(x\right)}{16 \, {\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)}}"," ",0,"1/16*(6*cos(x)^3 - 3*(cos(x)^4 - 2*cos(x)^2 + 1)*log(1/2*cos(x) + 1/2) + 3*(cos(x)^4 - 2*cos(x)^2 + 1)*log(-1/2*cos(x) + 1/2) - 10*cos(x))/(cos(x)^4 - 2*cos(x)^2 + 1)","B",0
77,1,17,0,0.875457," ","integrate(sin(x)/exp(x),x, algorithm=""fricas"")","-\frac{1}{2} \, \cos\left(x\right) e^{\left(-x\right)} - \frac{1}{2} \, e^{\left(-x\right)} \sin\left(x\right)"," ",0,"-1/2*cos(x)*e^(-x) - 1/2*e^(-x)*sin(x)","A",0
78,1,21,0,0.705056," ","integrate(exp(2*x)*sin(3*x),x, algorithm=""fricas"")","-\frac{3}{13} \, \cos\left(3 \, x\right) e^{\left(2 \, x\right)} + \frac{2}{13} \, e^{\left(2 \, x\right)} \sin\left(3 \, x\right)"," ",0,"-3/13*cos(3*x)*e^(2*x) + 2/13*e^(2*x)*sin(3*x)","A",0
79,1,20,0,1.396144," ","integrate(a^x*cos(x),x, algorithm=""fricas"")","\frac{{\left(\cos\left(x\right) \log\left(a\right) + \sin\left(x\right)\right)} a^{x}}{\log\left(a\right)^{2} + 1}"," ",0,"(cos(x)*log(a) + sin(x))*a^x/(log(a)^2 + 1)","A",0
80,1,13,0,0.925248," ","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
81,1,22,0,1.014344," ","integrate(log(cos(x))*sec(x)^2,x, algorithm=""fricas"")","-\frac{x \cos\left(x\right) - \log\left(\cos\left(x\right)\right) \sin\left(x\right) - \sin\left(x\right)}{\cos\left(x\right)}"," ",0,"-(x*cos(x) - log(cos(x))*sin(x) - sin(x))/cos(x)","A",0
82,1,21,0,0.831497," ","integrate(x*tan(x)^2,x, algorithm=""fricas"")","-\frac{1}{2} \, x^{2} + x \tan\left(x\right) + \frac{1}{2} \, \log\left(\frac{1}{\tan\left(x\right)^{2} + 1}\right)"," ",0,"-1/2*x^2 + x*tan(x) + 1/2*log(1/(tan(x)^2 + 1))","A",0
83,1,39,0,0.998244," ","integrate(arcsin(x)/x^2,x, algorithm=""fricas"")","-\frac{x \log\left(\sqrt{-x^{2} + 1} + 1\right) - x \log\left(\sqrt{-x^{2} + 1} - 1\right) + 2 \, \arcsin\left(x\right)}{2 \, x}"," ",0,"-1/2*(x*log(sqrt(-x^2 + 1) + 1) - x*log(sqrt(-x^2 + 1) - 1) + 2*arcsin(x))/x","A",0
84,1,23,0,0.953744," ","integrate(arcsin(x)^2,x, algorithm=""fricas"")","x \arcsin\left(x\right)^{2} + 2 \, \sqrt{-x^{2} + 1} \arcsin\left(x\right) - 2 \, x"," ",0,"x*arcsin(x)^2 + 2*sqrt(-x^2 + 1)*arcsin(x) - 2*x","A",0
85,1,19,0,0.872803," ","integrate(x^2*arctan(x)/(x^2+1),x, algorithm=""fricas"")","x \arctan\left(x\right) - \frac{1}{2} \, \arctan\left(x\right)^{2} - \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"x*arctan(x) - 1/2*arctan(x)^2 - 1/2*log(x^2 + 1)","A",0
86,1,30,0,0.825819," ","integrate(arccos((x/(1+x))^(1/2)),x, algorithm=""fricas"")","{\left(x + 1\right)} \arccos\left(\sqrt{\frac{x}{x + 1}}\right) + \sqrt{x + 1} \sqrt{\frac{x}{x + 1}}"," ",0,"(x + 1)*arccos(sqrt(x/(x + 1))) + sqrt(x + 1)*sqrt(x/(x + 1))","A",0
87,1,21,0,0.688573," ","integrate((3*x^2+2*x)^3,x, algorithm=""fricas"")","\frac{27}{7} x^{7} + 9 x^{6} + \frac{36}{5} x^{5} + 2 x^{4}"," ",0,"27/7*x^7 + 9*x^6 + 36/5*x^5 + 2*x^4","A",0
88,1,29,0,0.761154," ","integrate((-1+x)*(3*x^2+2*x-1)^2,x, algorithm=""fricas"")","\frac{3}{2} x^{6} + \frac{3}{5} x^{5} - \frac{7}{2} x^{4} - \frac{2}{3} x^{3} + \frac{5}{2} x^{2} - x"," ",0,"3/2*x^6 + 3/5*x^5 - 7/2*x^4 - 2/3*x^3 + 5/2*x^2 - x","A",0
89,1,27,0,0.804424," ","integrate(x^(-1+k)*(a+b*x^k)^n,x, algorithm=""fricas"")","\frac{{\left(b x^{k} + a\right)} {\left(b x^{k} + a\right)}^{n}}{b k n + b k}"," ",0,"(b*x^k + a)*(b*x^k + a)^n/(b*k*n + b*k)","A",0
90,1,22,0,0.759536," ","integrate(x^3/(1+2*x),x, algorithm=""fricas"")","\frac{1}{6} \, x^{3} - \frac{1}{8} \, x^{2} + \frac{1}{8} \, x - \frac{1}{16} \, \log\left(2 \, x + 1\right)"," ",0,"1/6*x^3 - 1/8*x^2 + 1/8*x - 1/16*log(2*x + 1)","A",0
91,1,32,0,0.923890," ","integrate(x^6/(3*x^2+2),x, algorithm=""fricas"")","\frac{1}{15} \, x^{5} - \frac{2}{27} \, x^{3} - \frac{4}{81} \, \sqrt{3} \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{3} \sqrt{2} x\right) + \frac{4}{27} \, x"," ",0,"1/15*x^5 - 2/27*x^3 - 4/81*sqrt(3)*sqrt(2)*arctan(1/2*sqrt(3)*sqrt(2)*x) + 4/27*x","A",0
92,1,15,0,0.781511," ","integrate(1/(3*x^2-7*x+2),x, algorithm=""fricas"")","-\frac{1}{5} \, \log\left(3 \, x - 1\right) + \frac{1}{5} \, \log\left(x - 2\right)"," ",0,"-1/5*log(3*x - 1) + 1/5*log(x - 2)","A",0
93,1,28,0,0.838125," ","integrate((-1+3*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{3}{2} \, \log\left(x^{2} - x + 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 3/2*log(x^2 - x + 1)","A",0
94,1,21,0,0.813095," ","integrate(x^2/(x^2+2*x+5),x, algorithm=""fricas"")","x - \frac{3}{2} \, \arctan\left(\frac{1}{2} \, x + \frac{1}{2}\right) - \log\left(x^{2} + 2 \, x + 5\right)"," ",0,"x - 3/2*arctan(1/2*x + 1/2) - log(x^2 + 2*x + 5)","A",0
95,1,38,0,0.573724," ","integrate((6*x^4-5*x^3+4*x^2)/(2*x^2-x+1),x, algorithm=""fricas"")","x^{3} - \frac{1}{2} \, x^{2} + \frac{1}{14} \, \sqrt{7} \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(4 \, x - 1\right)}\right) + \frac{1}{4} \, \log\left(2 \, x^{2} - x + 1\right)"," ",0,"x^3 - 1/2*x^2 + 1/14*sqrt(7)*arctan(1/7*sqrt(7)*(4*x - 1)) + 1/4*log(2*x^2 - x + 1)","A",0
96,1,17,0,0.783318," ","integrate((x^2+x-1)/(x^3+x^2-6*x),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(x + 3\right) + \frac{1}{2} \, \log\left(x - 2\right) + \frac{1}{6} \, \log\left(x\right)"," ",0,"1/3*log(x + 3) + 1/2*log(x - 2) + 1/6*log(x)","A",0
97,1,25,0,0.725473," ","integrate((11*a^2-7*a*x+5*x^2)/(-6*a^3+11*a^2*x-6*a*x^2+x^3),x, algorithm=""fricas"")","\frac{9}{2} \, \log\left(-a + x\right) - 17 \, \log\left(-2 \, a + x\right) + \frac{35}{2} \, \log\left(-3 \, a + x\right)"," ",0,"9/2*log(-a + x) - 17*log(-2*a + x) + 35/2*log(-3*a + x)","A",0
98,1,25,0,0.720291," ","integrate((x^2-x+2)/(x^4-5*x^2+4),x, algorithm=""fricas"")","-\frac{2}{3} \, \log\left(x + 2\right) + \frac{2}{3} \, \log\left(x + 1\right) - \frac{1}{3} \, \log\left(x - 1\right) + \frac{1}{3} \, \log\left(x - 2\right)"," ",0,"-2/3*log(x + 2) + 2/3*log(x + 1) - 1/3*log(x - 1) + 1/3*log(x - 2)","A",0
99,1,51,0,0.884653," ","integrate((2*x^2-5)/(x^4-5*x^2+6),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{x^{2} - 2 \, \sqrt{2} x + 2}{x^{2} - 2}\right) + \frac{1}{6} \, \sqrt{3} \log\left(\frac{x^{2} - 2 \, \sqrt{3} x + 3}{x^{2} - 3}\right)"," ",0,"1/4*sqrt(2)*log((x^2 - 2*sqrt(2)*x + 2)/(x^2 - 2)) + 1/6*sqrt(3)*log((x^2 - 2*sqrt(3)*x + 3)/(x^2 - 3))","B",0
100,1,25,0,0.895699," ","integrate(1/(-4+x)/(-3+x)/(-2+x)/(-1+x),x, algorithm=""fricas"")","-\frac{1}{6} \, \log\left(x - 1\right) + \frac{1}{2} \, \log\left(x - 2\right) - \frac{1}{2} \, \log\left(x - 3\right) + \frac{1}{6} \, \log\left(x - 4\right)"," ",0,"-1/6*log(x - 1) + 1/2*log(x - 2) - 1/2*log(x - 3) + 1/6*log(x - 4)","A",0
101,1,29,0,0.772424," ","integrate((x^2+1)/(-1+x)^3,x, algorithm=""fricas"")","\frac{{\left(x^{2} - 2 \, x + 1\right)} \log\left(x - 1\right) - 2 \, x + 1}{x^{2} - 2 \, x + 1}"," ",0,"((x^2 - 2*x + 1)*log(x - 1) - 2*x + 1)/(x^2 - 2*x + 1)","A",0
102,1,39,0,0.794995," ","integrate(x^5/(3+x)^2,x, algorithm=""fricas"")","\frac{x^{5} - 5 \, x^{4} + 30 \, x^{3} - 270 \, x^{2} + 1620 \, {\left(x + 3\right)} \log\left(x + 3\right) - 1296 \, x + 972}{4 \, {\left(x + 3\right)}}"," ",0,"1/4*(x^5 - 5*x^4 + 30*x^3 - 270*x^2 + 1620*(x + 3)*log(x + 3) - 1296*x + 972)/(x + 3)","A",0
103,1,45,0,0.891158," ","integrate((5*x^3-2)/(x^4-8*x^3+18*x^2-27),x, algorithm=""fricas"")","\frac{7 \, {\left(x^{2} - 6 \, x + 9\right)} \log\left(x + 1\right) + 313 \, {\left(x^{2} - 6 \, x + 9\right)} \log\left(x - 3\right) - 1628 \, x + 3820}{64 \, {\left(x^{2} - 6 \, x + 9\right)}}"," ",0,"1/64*(7*(x^2 - 6*x + 9)*log(x + 1) + 313*(x^2 - 6*x + 9)*log(x - 3) - 1628*x + 3820)/(x^2 - 6*x + 9)","A",0
104,1,45,0,0.846628," ","integrate((x^3-6*x^2+3*x-9)/(3+x)^2/(4+x)^2,x, algorithm=""fricas"")","-\frac{263 \, {\left(x^{2} + 7 \, x + 12\right)} \log\left(x + 4\right) - 264 \, {\left(x^{2} + 7 \, x + 12\right)} \log\left(x + 3\right) - 280 \, x - 939}{x^{2} + 7 \, x + 12}"," ",0,"-(263*(x^2 + 7*x + 12)*log(x + 4) - 264*(x^2 + 7*x + 12)*log(x + 3) - 280*x - 939)/(x^2 + 7*x + 12)","A",0
105,1,45,0,0.888345," ","integrate((x^3+x^2+2)/x/(x^2-1)^2,x, algorithm=""fricas"")","-\frac{5 \, {\left(x^{2} - 1\right)} \log\left(x + 1\right) + 3 \, {\left(x^{2} - 1\right)} \log\left(x - 1\right) - 8 \, {\left(x^{2} - 1\right)} \log\left(x\right) + 2 \, x + 6}{4 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/4*(5*(x^2 - 1)*log(x + 1) + 3*(x^2 - 1)*log(x - 1) - 8*(x^2 - 1)*log(x) + 2*x + 6)/(x^2 - 1)","A",0
106,1,65,0,0.925952," ","integrate(1/(x^6-x^5-x^4+x^3),x, algorithm=""fricas"")","-\frac{6 \, x^{2} + {\left(x^{3} - x^{2}\right)} \log\left(x + 1\right) + 7 \, {\left(x^{3} - x^{2}\right)} \log\left(x - 1\right) - 8 \, {\left(x^{3} - x^{2}\right)} \log\left(x\right) - 2 \, x - 2}{4 \, {\left(x^{3} - x^{2}\right)}}"," ",0,"-1/4*(6*x^2 + (x^3 - x^2)*log(x + 1) + 7*(x^3 - x^2)*log(x - 1) - 8*(x^3 - x^2)*log(x) - 2*x - 2)/(x^3 - x^2)","A",0
107,1,23,0,0.909279," ","integrate((x^4+1)/(x^3-x^2+x-1),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} + x - \arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right) + \log\left(x - 1\right)"," ",0,"1/2*x^2 + x - arctan(x) - 1/2*log(x^2 + 1) + log(x - 1)","A",0
108,1,21,0,0.900639," ","integrate(1/x/(1+x)/(x^2+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) + \log\left(x\right)"," ",0,"-1/2*arctan(x) - 1/4*log(x^2 + 1) - 1/2*log(x + 1) + log(x)","A",0
109,1,25,0,0.677084," ","integrate(x^2/(x^4+x^2-2),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - \frac{1}{6} \, \log\left(x + 1\right) + \frac{1}{6} \, \log\left(x - 1\right)"," ",0,"1/3*sqrt(2)*arctan(1/2*sqrt(2)*x) - 1/6*log(x + 1) + 1/6*log(x - 1)","A",0
110,1,44,0,0.853502," ","integrate((x^3+4*x^2+6*x)/(x^4+2*x^3+3*x^2+4*x+2),x, algorithm=""fricas"")","\frac{4 \, \sqrt{2} {\left(x + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 2 \, {\left(x + 1\right)} \log\left(x^{2} + 2\right) - {\left(x + 1\right)} \log\left(x + 1\right) + 3}{3 \, {\left(x + 1\right)}}"," ",0,"1/3*(4*sqrt(2)*(x + 1)*arctan(1/2*sqrt(2)*x) + 2*(x + 1)*log(x^2 + 2) - (x + 1)*log(x + 1) + 3)/(x + 1)","A",0
111,1,57,0,0.846831," ","integrate(x/(1+x)/(1+2*x)^2/(x^2+1),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, x + 1\right)} \arctan\left(x\right) - 7 \, {\left(2 \, x + 1\right)} \log\left(x^{2} + 1\right) + 64 \, {\left(2 \, x + 1\right)} \log\left(2 \, x + 1\right) - 50 \, {\left(2 \, x + 1\right)} \log\left(x + 1\right) + 40}{100 \, {\left(2 \, x + 1\right)}}"," ",0,"1/100*(2*(2*x + 1)*arctan(x) - 7*(2*x + 1)*log(x^2 + 1) + 64*(2*x + 1)*log(2*x + 1) - 50*(2*x + 1)*log(x + 1) + 40)/(2*x + 1)","A",0
112,1,59,0,0.879315," ","integrate((3*x^2+x-2)/(-1+x)^3/(x^2+1),x, algorithm=""fricas"")","-\frac{4 \, {\left(x^{2} - 2 \, x + 1\right)} \arctan\left(x\right) - 3 \, {\left(x^{2} - 2 \, x + 1\right)} \log\left(x^{2} + 1\right) + 6 \, {\left(x^{2} - 2 \, x + 1\right)} \log\left(x - 1\right) + 10 \, x - 8}{4 \, {\left(x^{2} - 2 \, x + 1\right)}}"," ",0,"-1/4*(4*(x^2 - 2*x + 1)*arctan(x) - 3*(x^2 - 2*x + 1)*log(x^2 + 1) + 6*(x^2 - 2*x + 1)*log(x - 1) + 10*x - 8)/(x^2 - 2*x + 1)","A",0
113,1,53,0,0.894761," ","integrate(1/(x^4+x^2+1),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{4} \, \log\left(x^{2} + x + 1\right) - \frac{1}{4} \, \log\left(x^{2} - x + 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/4*log(x^2 + x + 1) - 1/4*log(x^2 - x + 1)","A",0
114,1,58,0,0.894111," ","integrate((2*x^3+3)/(x^5-9*x),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} x\right) + \frac{1}{6} \, \sqrt{3} \log\left(\frac{x^{2} - 2 \, \sqrt{3} x + 3}{x^{2} - 3}\right) + \frac{1}{12} \, \log\left(x^{2} + 3\right) + \frac{1}{12} \, \log\left(x^{2} - 3\right) - \frac{1}{3} \, \log\left(x\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*x) + 1/6*sqrt(3)*log((x^2 - 2*sqrt(3)*x + 3)/(x^2 - 3)) + 1/12*log(x^2 + 3) + 1/12*log(x^2 - 3) - 1/3*log(x)","A",0
115,1,66,0,0.959742," ","integrate((5*x^3+8*x-20)/(-4+x)^3/(x^2-4*x+8),x, algorithm=""fricas"")","\frac{6 \, {\left(x^{2} - 8 \, x + 16\right)} \arctan\left(\frac{1}{2} \, x - 1\right) + 45 \, {\left(x^{2} - 8 \, x + 16\right)} \log\left(x^{2} - 4 \, x + 8\right) - 90 \, {\left(x^{2} - 8 \, x + 16\right)} \log\left(x - 4\right) - 328 \, x + 648}{32 \, {\left(x^{2} - 8 \, x + 16\right)}}"," ",0,"1/32*(6*(x^2 - 8*x + 16)*arctan(1/2*x - 1) + 45*(x^2 - 8*x + 16)*log(x^2 - 4*x + 8) - 90*(x^2 - 8*x + 16)*log(x - 4) - 328*x + 648)/(x^2 - 8*x + 16)","A",0
116,1,35,0,0.907038," ","integrate(1/(x^2+1)/(x^2+2)/(x^2+3)/(x^2+4),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} x\right) - \frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - \frac{1}{12} \, \arctan\left(\frac{1}{2} \, x\right) + \frac{1}{6} \, \arctan\left(x\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*x) - 1/4*sqrt(2)*arctan(1/2*sqrt(2)*x) - 1/12*arctan(1/2*x) + 1/6*arctan(x)","A",0
117,1,33,0,0.860878," ","integrate(x/(x^2+1)/(x^2+2)/(x^2+3)/(x^2+4),x, algorithm=""fricas"")","-\frac{1}{12} \, \log\left(x^{2} + 4\right) + \frac{1}{4} \, \log\left(x^{2} + 3\right) - \frac{1}{4} \, \log\left(x^{2} + 2\right) + \frac{1}{12} \, \log\left(x^{2} + 1\right)"," ",0,"-1/12*log(x^2 + 4) + 1/4*log(x^2 + 3) - 1/4*log(x^2 + 2) + 1/12*log(x^2 + 1)","A",0
118,1,45,0,0.858056," ","integrate(1/(a^3+x^3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(a - 2 \, x\right)}}{3 \, a}\right) - \log\left(a^{2} - a x + x^{2}\right) + 2 \, \log\left(a + x\right)}{6 \, a^{2}}"," ",0,"1/6*(2*sqrt(3)*arctan(-1/3*sqrt(3)*(a - 2*x)/a) - log(a^2 - a*x + x^2) + 2*log(a + x))/a^2","A",0
119,1,43,0,0.844804," ","integrate(x/(a^3+x^3),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(a - 2 \, x\right)}}{3 \, a}\right) + \log\left(a^{2} - a x + x^{2}\right) - 2 \, \log\left(a + x\right)}{6 \, a}"," ",0,"1/6*(2*sqrt(3)*arctan(-1/3*sqrt(3)*(a - 2*x)/a) + log(a^2 - a*x + x^2) - 2*log(a + x))/a","A",0
120,1,10,0,0.590011," ","integrate(x^2/(a^3+x^3),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(a^{3} + x^{3}\right)"," ",0,"1/3*log(a^3 + x^3)","A",0
121,1,18,0,0.889459," ","integrate(1/x/(a^3+x^3),x, algorithm=""fricas"")","-\frac{\log\left(a^{3} + x^{3}\right) - 3 \, \log\left(x\right)}{3 \, a^{3}}"," ",0,"-1/3*(log(a^3 + x^3) - 3*log(x))/a^3","A",0
122,1,53,0,0.918685," ","integrate(1/x^2/(a^3+x^3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x \arctan\left(-\frac{\sqrt{3} {\left(a - 2 \, x\right)}}{3 \, a}\right) + x \log\left(a^{2} - a x + x^{2}\right) - 2 \, x \log\left(a + x\right) + 6 \, a}{6 \, a^{4} x}"," ",0,"-1/6*(2*sqrt(3)*x*arctan(-1/3*sqrt(3)*(a - 2*x)/a) + x*log(a^2 - a*x + x^2) - 2*x*log(a + x) + 6*a)/(a^4*x)","A",0
123,1,62,0,0.793837," ","integrate(1/x^3/(a^3+x^3),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{3} x^{2} \arctan\left(-\frac{\sqrt{3} {\left(a - 2 \, x\right)}}{3 \, a}\right) - x^{2} \log\left(a^{2} - a x + x^{2}\right) + 2 \, x^{2} \log\left(a + x\right) + 3 \, a^{2}}{6 \, a^{5} x^{2}}"," ",0,"-1/6*(2*sqrt(3)*x^2*arctan(-1/3*sqrt(3)*(a - 2*x)/a) - x^2*log(a^2 - a*x + x^2) + 2*x^2*log(a + x) + 3*a^2)/(a^5*x^2)","A",0
124,1,33,0,0.764201," ","integrate(1/x^4/(a^3+x^3),x, algorithm=""fricas"")","\frac{x^{3} \log\left(a^{3} + x^{3}\right) - 3 \, x^{3} \log\left(x\right) - a^{3}}{3 \, a^{6} x^{3}}"," ",0,"1/3*(x^3*log(a^3 + x^3) - 3*x^3*log(x) - a^3)/(a^6*x^3)","A",0
125,1,68,0,1.039559," ","integrate(1/x^5/(a^3+x^3),x, algorithm=""fricas"")","\frac{4 \, \sqrt{3} x^{4} \arctan\left(-\frac{\sqrt{3} {\left(a - 2 \, x\right)}}{3 \, a}\right) + 2 \, x^{4} \log\left(a^{2} - a x + x^{2}\right) - 4 \, x^{4} \log\left(a + x\right) - 3 \, a^{4} + 12 \, a x^{3}}{12 \, a^{7} x^{4}}"," ",0,"1/12*(4*sqrt(3)*x^4*arctan(-1/3*sqrt(3)*(a - 2*x)/a) + 2*x^4*log(a^2 - a*x + x^2) - 4*x^4*log(a + x) - 3*a^4 + 12*a*x^3)/(a^7*x^4)","A",0
126,0,0,0,1.033566," ","integrate(1/(x^m)/(a^3+x^3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(a^{3} + x^{3}\right)} x^{m}}, x\right)"," ",0,"integral(1/((a^3 + x^3)*x^m), x)","F",0
127,1,26,0,1.041170," ","integrate(1/(a^4-x^4),x, algorithm=""fricas"")","\frac{2 \, \arctan\left(\frac{x}{a}\right) + \log\left(a + x\right) - \log\left(-a + x\right)}{4 \, a^{3}}"," ",0,"1/4*(2*arctan(x/a) + log(a + x) - log(-a + x))/a^3","A",0
128,1,26,0,0.843052," ","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
129,1,20,0,0.585250," ","integrate(1/x/(a^4-x^4),x, algorithm=""fricas"")","-\frac{\log\left(-a^{4} + x^{4}\right) - 4 \, \log\left(x\right)}{4 \, a^{4}}"," ",0,"-1/4*(log(-a^4 + x^4) - 4*log(x))/a^4","A",0
130,1,36,0,0.966420," ","integrate(1/x^2/(a^4-x^4),x, algorithm=""fricas"")","-\frac{2 \, x \arctan\left(\frac{x}{a}\right) - x \log\left(a + x\right) + x \log\left(-a + x\right) + 4 \, a}{4 \, a^{5} x}"," ",0,"-1/4*(2*x*arctan(x/a) - x*log(a + x) + x*log(-a + x) + 4*a)/(a^5*x)","A",0
131,1,41,0,0.878642," ","integrate(1/x^3/(a^4-x^4),x, algorithm=""fricas"")","\frac{x^{2} \log\left(a^{2} + x^{2}\right) - x^{2} \log\left(-a^{2} + x^{2}\right) - 2 \, a^{2}}{4 \, a^{6} x^{2}}"," ",0,"1/4*(x^2*log(a^2 + x^2) - x^2*log(-a^2 + x^2) - 2*a^2)/(a^6*x^2)","A",0
132,1,45,0,0.601561," ","integrate(1/x^4/(a^4-x^4),x, algorithm=""fricas"")","\frac{6 \, x^{3} \arctan\left(\frac{x}{a}\right) + 3 \, x^{3} \log\left(a + x\right) - 3 \, x^{3} \log\left(-a + x\right) - 4 \, a^{3}}{12 \, a^{7} x^{3}}"," ",0,"1/12*(6*x^3*arctan(x/a) + 3*x^3*log(a + x) - 3*x^3*log(-a + x) - 4*a^3)/(a^7*x^3)","A",0
133,0,0,0,0.967055," ","integrate(1/(x^m)/(a^4-x^4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(a^{4} - x^{4}\right)} x^{m}}, x\right)"," ",0,"integral(1/((a^4 - x^4)*x^m), x)","F",0
134,1,13,0,0.952278," ","integrate(x/(a^4+x^4),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{x^{2}}{a^{2}}\right)}{2 \, a^{2}}"," ",0,"1/2*arctan(x^2/a^2)/a^2","A",0
135,1,199,0,0.965302," ","integrate(x^2/(a^4+x^4),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \frac{1}{a^{4}}^{\frac{1}{4}} \arctan\left(-\sqrt{2} \frac{1}{a^{4}}^{\frac{1}{4}} x + \sqrt{2} \sqrt{\sqrt{2} a^{4} \frac{1}{a^{4}}^{\frac{3}{4}} x + a^{4} \sqrt{\frac{1}{a^{4}}} + x^{2}} \frac{1}{a^{4}}^{\frac{1}{4}} - 1\right) - \frac{1}{2} \, \sqrt{2} \frac{1}{a^{4}}^{\frac{1}{4}} \arctan\left(-\sqrt{2} \frac{1}{a^{4}}^{\frac{1}{4}} x + \sqrt{2} \sqrt{-\sqrt{2} a^{4} \frac{1}{a^{4}}^{\frac{3}{4}} x + a^{4} \sqrt{\frac{1}{a^{4}}} + x^{2}} \frac{1}{a^{4}}^{\frac{1}{4}} + 1\right) - \frac{1}{8} \, \sqrt{2} \frac{1}{a^{4}}^{\frac{1}{4}} \log\left(\sqrt{2} a^{4} \frac{1}{a^{4}}^{\frac{3}{4}} x + a^{4} \sqrt{\frac{1}{a^{4}}} + x^{2}\right) + \frac{1}{8} \, \sqrt{2} \frac{1}{a^{4}}^{\frac{1}{4}} \log\left(-\sqrt{2} a^{4} \frac{1}{a^{4}}^{\frac{3}{4}} x + a^{4} \sqrt{\frac{1}{a^{4}}} + x^{2}\right)"," ",0,"-1/2*sqrt(2)*(a^(-4))^(1/4)*arctan(-sqrt(2)*(a^(-4))^(1/4)*x + sqrt(2)*sqrt(sqrt(2)*a^4*(a^(-4))^(3/4)*x + a^4*sqrt(a^(-4)) + x^2)*(a^(-4))^(1/4) - 1) - 1/2*sqrt(2)*(a^(-4))^(1/4)*arctan(-sqrt(2)*(a^(-4))^(1/4)*x + sqrt(2)*sqrt(-sqrt(2)*a^4*(a^(-4))^(3/4)*x + a^4*sqrt(a^(-4)) + x^2)*(a^(-4))^(1/4) + 1) - 1/8*sqrt(2)*(a^(-4))^(1/4)*log(sqrt(2)*a^4*(a^(-4))^(3/4)*x + a^4*sqrt(a^(-4)) + x^2) + 1/8*sqrt(2)*(a^(-4))^(1/4)*log(-sqrt(2)*a^4*(a^(-4))^(3/4)*x + a^4*sqrt(a^(-4)) + x^2)","B",0
136,-1,0,0,0.000000," ","integrate(1/(a^5+x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
137,-1,0,0,0.000000," ","integrate(x/(a^5+x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
138,-1,0,0,0.000000," ","integrate(x^2/(a^5+x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
139,-1,0,0,0.000000," ","integrate(x^3/(a^5+x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
140,1,10,0,0.965154," ","integrate(x^4/(a^5+x^5),x, algorithm=""fricas"")","\frac{1}{5} \, \log\left(a^{5} + x^{5}\right)"," ",0,"1/5*log(a^5 + x^5)","A",0
141,1,18,0,1.008614," ","integrate(1/x/(a^5+x^5),x, algorithm=""fricas"")","-\frac{\log\left(a^{5} + x^{5}\right) - 5 \, \log\left(x\right)}{5 \, a^{5}}"," ",0,"-1/5*(log(a^5 + x^5) - 5*log(x))/a^5","A",0
142,-1,0,0,0.000000," ","integrate(1/x^2/(a^5+x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
143,-1,0,0,0.000000," ","integrate(1/x^3/(a^5+x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
144,-1,0,0,0.000000," ","integrate(1/x^4/(a^5+x^5),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
145,0,0,0,1.116716," ","integrate(1/(x^m)/(a^5+x^5),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(a^{5} + x^{5}\right)} x^{m}}, x\right)"," ",0,"integral(1/((a^5 + x^5)*x^m), x)","F",0
146,1,9,0,0.600083," ","integrate((x^4+1)/(x^6+1),x, algorithm=""fricas"")","\frac{1}{3} \, \arctan\left(x^{3}\right) + \arctan\left(x\right)"," ",0,"1/3*arctan(x^3) + arctan(x)","A",0
147,1,71,0,1.076181," ","integrate(1/(x^2+3*x+5)^3,x, algorithm=""fricas"")","\frac{132 \, x^{3} + 24 \, \sqrt{11} {\left(x^{4} + 6 \, x^{3} + 19 \, x^{2} + 30 \, x + 25\right)} \arctan\left(\frac{1}{11} \, \sqrt{11} {\left(2 \, x + 3\right)}\right) + 594 \, x^{2} + 1496 \, x + 1353}{2662 \, {\left(x^{4} + 6 \, x^{3} + 19 \, x^{2} + 30 \, x + 25\right)}}"," ",0,"1/2662*(132*x^3 + 24*sqrt(11)*(x^4 + 6*x^3 + 19*x^2 + 30*x + 25)*arctan(1/11*sqrt(11)*(2*x + 3)) + 594*x^2 + 1496*x + 1353)/(x^4 + 6*x^3 + 19*x^2 + 30*x + 25)","A",0
148,1,52,0,0.745293," ","integrate((x^4+x^2+1)/(x^2+1)^4,x, algorithm=""fricas"")","\frac{21 \, x^{5} + 40 \, x^{3} + 21 \, {\left(x^{6} + 3 \, x^{4} + 3 \, x^{2} + 1\right)} \arctan\left(x\right) + 27 \, x}{48 \, {\left(x^{6} + 3 \, x^{4} + 3 \, x^{2} + 1\right)}}"," ",0,"1/48*(21*x^5 + 40*x^3 + 21*(x^6 + 3*x^4 + 3*x^2 + 1)*arctan(x) + 27*x)/(x^6 + 3*x^4 + 3*x^2 + 1)","A",0
149,1,448,0,1.125674," ","integrate((A*x+B)/(a*x^2+2*b*x+c)^2,x, algorithm=""fricas"")","\left[-\frac{2 \, B b^{3} + 2 \, A a c^{2} - {\left({\left(B a^{2} - A a b\right)} x^{2} + {\left(B a - A b\right)} c + 2 \, {\left(B a b - A b^{2}\right)} x\right)} \sqrt{b^{2} - a c} \log\left(\frac{a^{2} x^{2} + 2 \, a b x + 2 \, b^{2} - a c + 2 \, \sqrt{b^{2} - a c} {\left(a x + b\right)}}{a x^{2} + 2 \, b x + c}\right) - 2 \, {\left(B a b + A b^{2}\right)} c + 2 \, {\left(B a b^{2} - A b^{3} - {\left(B a^{2} - A a b\right)} c\right)} x}{4 \, {\left(b^{4} c - 2 \, a b^{2} c^{2} + a^{2} c^{3} + {\left(a b^{4} - 2 \, a^{2} b^{2} c + a^{3} c^{2}\right)} x^{2} + 2 \, {\left(b^{5} - 2 \, a b^{3} c + a^{2} b c^{2}\right)} x\right)}}, -\frac{B b^{3} + A a c^{2} - {\left({\left(B a^{2} - A a b\right)} x^{2} + {\left(B a - A b\right)} c + 2 \, {\left(B a b - A b^{2}\right)} x\right)} \sqrt{-b^{2} + a c} \arctan\left(-\frac{\sqrt{-b^{2} + a c} {\left(a x + b\right)}}{b^{2} - a c}\right) - {\left(B a b + A b^{2}\right)} c + {\left(B a b^{2} - A b^{3} - {\left(B a^{2} - A a b\right)} c\right)} x}{2 \, {\left(b^{4} c - 2 \, a b^{2} c^{2} + a^{2} c^{3} + {\left(a b^{4} - 2 \, a^{2} b^{2} c + a^{3} c^{2}\right)} x^{2} + 2 \, {\left(b^{5} - 2 \, a b^{3} c + a^{2} b c^{2}\right)} x\right)}}\right]"," ",0,"[-1/4*(2*B*b^3 + 2*A*a*c^2 - ((B*a^2 - A*a*b)*x^2 + (B*a - A*b)*c + 2*(B*a*b - A*b^2)*x)*sqrt(b^2 - a*c)*log((a^2*x^2 + 2*a*b*x + 2*b^2 - a*c + 2*sqrt(b^2 - a*c)*(a*x + b))/(a*x^2 + 2*b*x + c)) - 2*(B*a*b + A*b^2)*c + 2*(B*a*b^2 - A*b^3 - (B*a^2 - A*a*b)*c)*x)/(b^4*c - 2*a*b^2*c^2 + a^2*c^3 + (a*b^4 - 2*a^2*b^2*c + a^3*c^2)*x^2 + 2*(b^5 - 2*a*b^3*c + a^2*b*c^2)*x), -1/2*(B*b^3 + A*a*c^2 - ((B*a^2 - A*a*b)*x^2 + (B*a - A*b)*c + 2*(B*a*b - A*b^2)*x)*sqrt(-b^2 + a*c)*arctan(-sqrt(-b^2 + a*c)*(a*x + b)/(b^2 - a*c)) - (B*a*b + A*b^2)*c + (B*a*b^2 - A*b^3 - (B*a^2 - A*a*b)*c)*x)/(b^4*c - 2*a*b^2*c^2 + a^2*c^3 + (a*b^4 - 2*a^2*b^2*c + a^3*c^2)*x^2 + 2*(b^5 - 2*a*b^3*c + a^2*b*c^2)*x)]","B",0
150,1,50,0,0.934898," ","integrate((5*x^3-27*x^2+55*x-41)/(x^2-4*x+5)^2,x, algorithm=""fricas"")","\frac{4 \, {\left(x^{2} - 4 \, x + 5\right)} \arctan\left(x - 2\right) + 5 \, {\left(x^{2} - 4 \, x + 5\right)} \log\left(x^{2} - 4 \, x + 5\right) - 2 \, x + 2}{2 \, {\left(x^{2} - 4 \, x + 5\right)}}"," ",0,"1/2*(4*(x^2 - 4*x + 5)*arctan(x - 2) + 5*(x^2 - 4*x + 5)*log(x^2 - 4*x + 5) - 2*x + 2)/(x^2 - 4*x + 5)","A",0
151,1,58,0,0.828160," ","integrate(1/(x^3-1)^2,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(x^{3} - 1\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + {\left(x^{3} - 1\right)} \log\left(x^{2} + x + 1\right) - 2 \, {\left(x^{3} - 1\right)} \log\left(x - 1\right) - 3 \, x}{9 \, {\left(x^{3} - 1\right)}}"," ",0,"1/9*(2*sqrt(3)*(x^3 - 1)*arctan(1/3*sqrt(3)*(2*x + 1)) + (x^3 - 1)*log(x^2 + x + 1) - 2*(x^3 - 1)*log(x - 1) - 3*x)/(x^3 - 1)","A",0
152,1,40,0,0.839810," ","integrate((3*x^4+4)/x^2/(x^2+1)^3,x, algorithm=""fricas"")","-\frac{57 \, x^{4} + 103 \, x^{2} + 57 \, {\left(x^{5} + 2 \, x^{3} + x\right)} \arctan\left(x\right) + 32}{8 \, {\left(x^{5} + 2 \, x^{3} + x\right)}}"," ",0,"-1/8*(57*x^4 + 103*x^2 + 57*(x^5 + 2*x^3 + x)*arctan(x) + 32)/(x^5 + 2*x^3 + x)","A",0
153,1,40,0,1.092122," ","integrate(x/(x^6+1),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} - 1\right)}\right) - \frac{1}{12} \, \log\left(x^{4} - x^{2} + 1\right) + \frac{1}{6} \, \log\left(x^{2} + 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - 1)) - 1/12*log(x^4 - x^2 + 1) + 1/6*log(x^2 + 1)","A",0
154,1,13,0,1.123693," ","integrate((-1+x^(-1+n))/(-n*x+x^n),x, algorithm=""fricas"")","\frac{\log\left(-n x + x^{n}\right)}{n}"," ",0,"log(-n*x + x^n)/n","A",0
155,1,34,0,1.147917," ","integrate(x^3/(3*x^4-2*x^2+1),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x^{2} - 1\right)}\right) + \frac{1}{12} \, \log\left(3 \, x^{4} - 2 \, x^{2} + 1\right)"," ",0,"1/12*sqrt(2)*arctan(1/2*sqrt(2)*(3*x^2 - 1)) + 1/12*log(3*x^4 - 2*x^2 + 1)","A",0
156,1,24,0,1.091326," ","integrate(x^5/(3*x^4+x^2-4),x, algorithm=""fricas"")","\frac{1}{6} \, x^{2} - \frac{8}{63} \, \log\left(3 \, x^{2} + 4\right) + \frac{1}{14} \, \log\left(x^{2} - 1\right)"," ",0,"1/6*x^2 - 8/63*log(3*x^2 + 4) + 1/14*log(x^2 - 1)","A",0
157,1,17,0,1.399161," ","integrate(x^2/(x^6-10*x^3+9),x, algorithm=""fricas"")","-\frac{1}{24} \, \log\left(x^{3} - 1\right) + \frac{1}{24} \, \log\left(x^{3} - 9\right)"," ",0,"-1/24*log(x^3 - 1) + 1/24*log(x^3 - 9)","A",0
158,1,46,0,1.091403," ","integrate((x^3-4*x^2+1)/(-2+x)^4,x, algorithm=""fricas"")","-\frac{6 \, x^{2} - 3 \, {\left(x^{3} - 6 \, x^{2} + 12 \, x - 8\right)} \log\left(x - 2\right) - 30 \, x + 29}{3 \, {\left(x^{3} - 6 \, x^{2} + 12 \, x - 8\right)}}"," ",0,"-1/3*(6*x^2 - 3*(x^3 - 6*x^2 + 12*x - 8)*log(x - 2) - 30*x + 29)/(x^3 - 6*x^2 + 12*x - 8)","A",0
159,1,72,0,1.060209," ","integrate(x^3/(-1+x)^12,x, algorithm=""fricas"")","-\frac{165 \, x^{3} - 55 \, x^{2} + 11 \, x - 1}{1320 \, {\left(x^{11} - 11 \, x^{10} + 55 \, x^{9} - 165 \, x^{8} + 330 \, x^{7} - 462 \, x^{6} + 462 \, x^{5} - 330 \, x^{4} + 165 \, x^{3} - 55 \, x^{2} + 11 \, x - 1\right)}}"," ",0,"-1/1320*(165*x^3 - 55*x^2 + 11*x - 1)/(x^11 - 11*x^10 + 55*x^9 - 165*x^8 + 330*x^7 - 462*x^6 + 462*x^5 - 330*x^4 + 165*x^3 - 55*x^2 + 11*x - 1)","B",0
160,1,67,0,1.243541," ","integrate((x^4-3*x)/(1+2*x)^5,x, algorithm=""fricas"")","\frac{384 \, x^{3} + 432 \, x^{2} + 12 \, {\left(16 \, x^{4} + 32 \, x^{3} + 24 \, x^{2} + 8 \, x + 1\right)} \log\left(2 \, x + 1\right) + 368 \, x + 49}{384 \, {\left(16 \, x^{4} + 32 \, x^{3} + 24 \, x^{2} + 8 \, x + 1\right)}}"," ",0,"1/384*(384*x^3 + 432*x^2 + 12*(16*x^4 + 32*x^3 + 24*x^2 + 8*x + 1)*log(2*x + 1) + 368*x + 49)/(16*x^4 + 32*x^3 + 24*x^2 + 8*x + 1)","A",0
161,1,59,0,1.112950," ","integrate(1/(-1+x)^2/(1+x)^3,x, algorithm=""fricas"")","-\frac{6 \, x^{2} - 3 \, {\left(x^{3} + x^{2} - x - 1\right)} \log\left(x + 1\right) + 3 \, {\left(x^{3} + x^{2} - x - 1\right)} \log\left(x - 1\right) + 6 \, x - 4}{16 \, {\left(x^{3} + x^{2} - x - 1\right)}}"," ",0,"-1/16*(6*x^2 - 3*(x^3 + x^2 - x - 1)*log(x + 1) + 3*(x^3 + x^2 - x - 1)*log(x - 1) + 6*x - 4)/(x^3 + x^2 - x - 1)","B",0
162,1,48,0,0.737517," ","integrate(1/(5-6*x)^2/x^2,x, algorithm=""fricas"")","-\frac{12 \, {\left(6 \, x^{2} - 5 \, x\right)} \log\left(6 \, x - 5\right) - 12 \, {\left(6 \, x^{2} - 5 \, x\right)} \log\left(x\right) + 60 \, x - 25}{125 \, {\left(6 \, x^{2} - 5 \, x\right)}}"," ",0,"-1/125*(12*(6*x^2 - 5*x)*log(6*x - 5) - 12*(6*x^2 - 5*x)*log(x) + 60*x - 25)/(6*x^2 - 5*x)","A",0
163,1,85,0,1.190917," ","integrate(1/(x^2-2*x-3)^3,x, algorithm=""fricas"")","\frac{12 \, x^{3} - 36 \, x^{2} - 3 \, {\left(x^{4} - 4 \, x^{3} - 2 \, x^{2} + 12 \, x + 9\right)} \log\left(x + 1\right) + 3 \, {\left(x^{4} - 4 \, x^{3} - 2 \, x^{2} + 12 \, x + 9\right)} \log\left(x - 3\right) - 44 \, x + 68}{512 \, {\left(x^{4} - 4 \, x^{3} - 2 \, x^{2} + 12 \, x + 9\right)}}"," ",0,"1/512*(12*x^3 - 36*x^2 - 3*(x^4 - 4*x^3 - 2*x^2 + 12*x + 9)*log(x + 1) + 3*(x^4 - 4*x^3 - 2*x^2 + 12*x + 9)*log(x - 3) - 44*x + 68)/(x^4 - 4*x^3 - 2*x^2 + 12*x + 9)","A",0
164,1,62,0,1.032534," ","integrate(1/(x^2-4*x+13)^3,x, algorithm=""fricas"")","\frac{3 \, x^{3} - 18 \, x^{2} + {\left(x^{4} - 8 \, x^{3} + 42 \, x^{2} - 104 \, x + 169\right)} \arctan\left(\frac{1}{3} \, x - \frac{2}{3}\right) + 81 \, x - 114}{648 \, {\left(x^{4} - 8 \, x^{3} + 42 \, x^{2} - 104 \, x + 169\right)}}"," ",0,"1/648*(3*x^3 - 18*x^2 + (x^4 - 8*x^3 + 42*x^2 - 104*x + 169)*arctan(1/3*x - 2/3) + 81*x - 114)/(x^4 - 8*x^3 + 42*x^2 - 104*x + 169)","A",0
165,1,105,0,1.148636," ","integrate(1/(2+x)^3/(3+x)^4,x, algorithm=""fricas"")","\frac{60 \, x^{4} + 630 \, x^{3} + 2450 \, x^{2} - 60 \, {\left(x^{5} + 13 \, x^{4} + 67 \, x^{3} + 171 \, x^{2} + 216 \, x + 108\right)} \log\left(x + 3\right) + 60 \, {\left(x^{5} + 13 \, x^{4} + 67 \, x^{3} + 171 \, x^{2} + 216 \, x + 108\right)} \log\left(x + 2\right) + 4175 \, x + 2627}{6 \, {\left(x^{5} + 13 \, x^{4} + 67 \, x^{3} + 171 \, x^{2} + 216 \, x + 108\right)}}"," ",0,"1/6*(60*x^4 + 630*x^3 + 2450*x^2 - 60*(x^5 + 13*x^4 + 67*x^3 + 171*x^2 + 216*x + 108)*log(x + 3) + 60*(x^5 + 13*x^4 + 67*x^3 + 171*x^2 + 216*x + 108)*log(x + 2) + 4175*x + 2627)/(x^5 + 13*x^4 + 67*x^3 + 171*x^2 + 216*x + 108)","B",0
166,1,53,0,1.319245," ","integrate(x^6/(x^2-2)^2,x, algorithm=""fricas"")","\frac{2 \, x^{5} + 20 \, x^{3} + 15 \, \sqrt{2} {\left(x^{2} - 2\right)} \log\left(\frac{x^{2} - 2 \, \sqrt{2} x + 2}{x^{2} - 2}\right) - 60 \, x}{6 \, {\left(x^{2} - 2\right)}}"," ",0,"1/6*(2*x^5 + 20*x^3 + 15*sqrt(2)*(x^2 - 2)*log((x^2 - 2*sqrt(2)*x + 2)/(x^2 - 2)) - 60*x)/(x^2 - 2)","A",0
167,1,59,0,0.986448," ","integrate(x^8/(x^2+4)^4,x, algorithm=""fricas"")","\frac{24 \, x^{7} + 462 \, x^{5} + 2240 \, x^{3} - 105 \, {\left(x^{6} + 12 \, x^{4} + 48 \, x^{2} + 64\right)} \arctan\left(\frac{1}{2} \, x\right) + 3360 \, x}{24 \, {\left(x^{6} + 12 \, x^{4} + 48 \, x^{2} + 64\right)}}"," ",0,"1/24*(24*x^7 + 462*x^5 + 2240*x^3 - 105*(x^6 + 12*x^4 + 48*x^2 + 64)*arctan(1/2*x) + 3360*x)/(x^6 + 12*x^4 + 48*x^2 + 64)","A",0
168,1,45,0,1.169142," ","integrate((-4+7*x)/(3*x^2+2*x+5)^2,x, algorithm=""fricas"")","-\frac{19 \, \sqrt{14} {\left(3 \, x^{2} + 2 \, x + 5\right)} \arctan\left(\frac{1}{14} \, \sqrt{14} {\left(3 \, x + 1\right)}\right) + 266 \, x + 546}{392 \, {\left(3 \, x^{2} + 2 \, x + 5\right)}}"," ",0,"-1/392*(19*sqrt(14)*(3*x^2 + 2*x + 5)*arctan(1/14*sqrt(14)*(3*x + 1)) + 266*x + 546)/(3*x^2 + 2*x + 5)","A",0
169,1,68,0,1.050852," ","integrate((5-4*x)/(3*x^2-4*x-2)^2,x, algorithm=""fricas"")","\frac{7 \, \sqrt{10} {\left(3 \, x^{2} - 4 \, x - 2\right)} \log\left(\frac{9 \, x^{2} + 2 \, \sqrt{10} {\left(3 \, x - 2\right)} - 12 \, x + 14}{3 \, x^{2} - 4 \, x - 2}\right) - 140 \, x + 360}{400 \, {\left(3 \, x^{2} - 4 \, x - 2\right)}}"," ",0,"1/400*(7*sqrt(10)*(3*x^2 - 4*x - 2)*log((9*x^2 + 2*sqrt(10)*(3*x - 2) - 12*x + 14)/(3*x^2 - 4*x - 2)) - 140*x + 360)/(3*x^2 - 4*x - 2)","A",0
170,1,38,0,1.373320," ","integrate(x^5/(x^4+1)^3,x, algorithm=""fricas"")","\frac{x^{6} - x^{2} + {\left(x^{8} + 2 \, x^{4} + 1\right)} \arctan\left(x^{2}\right)}{16 \, {\left(x^{8} + 2 \, x^{4} + 1\right)}}"," ",0,"1/16*(x^6 - x^2 + (x^8 + 2*x^4 + 1)*arctan(x^2))/(x^8 + 2*x^4 + 1)","A",0
171,1,38,0,1.222412," ","integrate(x*(x^2+1)^3/(x^4+2*x^2+2)^2,x, algorithm=""fricas"")","\frac{{\left(x^{4} + 2 \, x^{2} + 2\right)} \log\left(x^{4} + 2 \, x^{2} + 2\right) + 1}{4 \, {\left(x^{4} + 2 \, x^{2} + 2\right)}}"," ",0,"1/4*((x^4 + 2*x^2 + 2)*log(x^4 + 2*x^2 + 2) + 1)/(x^4 + 2*x^2 + 2)","A",0
172,1,19,0,1.413989," ","integrate(x^3/(a^4+x^4)^3,x, algorithm=""fricas"")","-\frac{1}{8 \, {\left(a^{8} + 2 \, a^{4} x^{4} + x^{8}\right)}}"," ",0,"-1/8/(a^8 + 2*a^4*x^4 + x^8)","A",0
173,1,81,0,1.299617," ","integrate(1/x/(a^4+x^4)^3,x, algorithm=""fricas"")","\frac{3 \, a^{8} + 2 \, a^{4} x^{4} - 2 \, {\left(a^{8} + 2 \, a^{4} x^{4} + x^{8}\right)} \log\left(a^{4} + x^{4}\right) + 8 \, {\left(a^{8} + 2 \, a^{4} x^{4} + x^{8}\right)} \log\left(x\right)}{8 \, {\left(a^{20} + 2 \, a^{16} x^{4} + a^{12} x^{8}\right)}}"," ",0,"1/8*(3*a^8 + 2*a^4*x^4 - 2*(a^8 + 2*a^4*x^4 + x^8)*log(a^4 + x^4) + 8*(a^8 + 2*a^4*x^4 + x^8)*log(x))/(a^20 + 2*a^16*x^4 + a^12*x^8)","A",0
174,1,338,0,1.460648," ","integrate(1/x^2/(a^4+x^4)^3,x, algorithm=""fricas"")","-\frac{256 \, a^{8} + 648 \, a^{4} x^{4} + 360 \, x^{8} - 180 \, \sqrt{2} {\left(a^{20} x + 2 \, a^{16} x^{5} + a^{12} x^{9}\right)} \frac{1}{a^{52}}^{\frac{1}{4}} \arctan\left(-\sqrt{2} a^{12} \frac{1}{a^{52}}^{\frac{1}{4}} x + \sqrt{2} \sqrt{\sqrt{2} a^{40} \frac{1}{a^{52}}^{\frac{3}{4}} x + a^{28} \sqrt{\frac{1}{a^{52}}} + x^{2}} a^{12} \frac{1}{a^{52}}^{\frac{1}{4}} - 1\right) - 180 \, \sqrt{2} {\left(a^{20} x + 2 \, a^{16} x^{5} + a^{12} x^{9}\right)} \frac{1}{a^{52}}^{\frac{1}{4}} \arctan\left(-\sqrt{2} a^{12} \frac{1}{a^{52}}^{\frac{1}{4}} x + \sqrt{2} \sqrt{-\sqrt{2} a^{40} \frac{1}{a^{52}}^{\frac{3}{4}} x + a^{28} \sqrt{\frac{1}{a^{52}}} + x^{2}} a^{12} \frac{1}{a^{52}}^{\frac{1}{4}} + 1\right) - 45 \, \sqrt{2} {\left(a^{20} x + 2 \, a^{16} x^{5} + a^{12} x^{9}\right)} \frac{1}{a^{52}}^{\frac{1}{4}} \log\left(\sqrt{2} a^{40} \frac{1}{a^{52}}^{\frac{3}{4}} x + a^{28} \sqrt{\frac{1}{a^{52}}} + x^{2}\right) + 45 \, \sqrt{2} {\left(a^{20} x + 2 \, a^{16} x^{5} + a^{12} x^{9}\right)} \frac{1}{a^{52}}^{\frac{1}{4}} \log\left(-\sqrt{2} a^{40} \frac{1}{a^{52}}^{\frac{3}{4}} x + a^{28} \sqrt{\frac{1}{a^{52}}} + x^{2}\right)}{256 \, {\left(a^{20} x + 2 \, a^{16} x^{5} + a^{12} x^{9}\right)}}"," ",0,"-1/256*(256*a^8 + 648*a^4*x^4 + 360*x^8 - 180*sqrt(2)*(a^20*x + 2*a^16*x^5 + a^12*x^9)*(a^(-52))^(1/4)*arctan(-sqrt(2)*a^12*(a^(-52))^(1/4)*x + sqrt(2)*sqrt(sqrt(2)*a^40*(a^(-52))^(3/4)*x + a^28*sqrt(a^(-52)) + x^2)*a^12*(a^(-52))^(1/4) - 1) - 180*sqrt(2)*(a^20*x + 2*a^16*x^5 + a^12*x^9)*(a^(-52))^(1/4)*arctan(-sqrt(2)*a^12*(a^(-52))^(1/4)*x + sqrt(2)*sqrt(-sqrt(2)*a^40*(a^(-52))^(3/4)*x + a^28*sqrt(a^(-52)) + x^2)*a^12*(a^(-52))^(1/4) + 1) - 45*sqrt(2)*(a^20*x + 2*a^16*x^5 + a^12*x^9)*(a^(-52))^(1/4)*log(sqrt(2)*a^40*(a^(-52))^(3/4)*x + a^28*sqrt(a^(-52)) + x^2) + 45*sqrt(2)*(a^20*x + 2*a^16*x^5 + a^12*x^9)*(a^(-52))^(1/4)*log(-sqrt(2)*a^40*(a^(-52))^(3/4)*x + a^28*sqrt(a^(-52)) + x^2))/(a^20*x + 2*a^16*x^5 + a^12*x^9)","B",0
175,1,78,0,1.328962," ","integrate(1/x^3/(a^4+x^4)^3,x, algorithm=""fricas"")","-\frac{8 \, a^{10} + 25 \, a^{6} x^{4} + 15 \, a^{2} x^{8} + 15 \, {\left(a^{8} x^{2} + 2 \, a^{4} x^{6} + x^{10}\right)} \arctan\left(\frac{x^{2}}{a^{2}}\right)}{16 \, {\left(a^{22} x^{2} + 2 \, a^{18} x^{6} + a^{14} x^{10}\right)}}"," ",0,"-1/16*(8*a^10 + 25*a^6*x^4 + 15*a^2*x^8 + 15*(a^8*x^2 + 2*a^4*x^6 + x^10)*arctan(x^2/a^2))/(a^22*x^2 + 2*a^18*x^6 + a^14*x^10)","A",0
176,1,45,0,1.319855," ","integrate(x^14/(2*x^5+3)^3,x, algorithm=""fricas"")","\frac{24 \, x^{5} + 2 \, {\left(4 \, x^{10} + 12 \, x^{5} + 9\right)} \log\left(2 \, x^{5} + 3\right) + 27}{80 \, {\left(4 \, x^{10} + 12 \, x^{5} + 9\right)}}"," ",0,"1/80*(24*x^5 + 2*(4*x^10 + 12*x^5 + 9)*log(2*x^5 + 3) + 27)/(4*x^10 + 12*x^5 + 9)","A",0
177,1,1751,0,41.315516," ","integrate(x^6/(2*x^5+3)^3,x, algorithm=""fricas"")","\frac{2880 \, x^{7} - 2 \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(4 \, x^{10} + 12 \, x^{5} + 9\right)} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} \log\left(-\frac{1}{6912} \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 4 \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}}\right)} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} - \frac{1}{64} \cdot 108^{\frac{2}{5}} \left(-1\right)^{\frac{3}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{3} - \frac{1}{6912} \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} - 4 \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} + 16 \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}}\right)} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} + \frac{1}{16} \cdot 108^{\frac{2}{5}} \left(-1\right)^{\frac{3}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} - \frac{1}{4} \cdot 108^{\frac{2}{5}} \left(-1\right)^{\frac{3}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} + 108^{\frac{2}{5}} \left(-1\right)^{\frac{3}{5}} + 6 \, x\right) - 2 \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(4 \, x^{10} + 12 \, x^{5} + 9\right)} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} \log\left(\frac{1}{384} \cdot 108^{\frac{2}{5}} \left(-1\right)^{\frac{3}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{3} + x\right) + 8 \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(4 \, x^{10} + 12 \, x^{5} + 9\right)} \log\left(-108^{\frac{2}{5}} \left(-1\right)^{\frac{3}{5}} + 6 \, x\right) - 6480 \, x^{2} + {\left(108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(4 \, x^{10} + 12 \, x^{5} + 9\right)} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} + 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(4 \, x^{10} + 12 \, x^{5} + 9\right)} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 4 \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(4 \, x^{10} + 12 \, x^{5} + 9\right)} - 24 \, \sqrt{3} {\left(4 \, x^{10} + 12 \, x^{5} + 9\right)} \sqrt{-\frac{1}{864} \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 4 \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}}\right)} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - \frac{3}{16} \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} - \frac{3}{16} \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} + \frac{1}{2} \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 3 \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}}}\right)} \log\left(\frac{1}{768} \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 4 \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}}\right)} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} + \frac{1}{768} \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} - 4 \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} + 16 \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}}\right)} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - \frac{9}{16} \cdot 108^{\frac{2}{5}} \left(-1\right)^{\frac{3}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} + \frac{9}{4} \cdot 108^{\frac{2}{5}} \left(-1\right)^{\frac{3}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} + \frac{1}{3456} \, {\left(108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(108^{\frac{4}{5}} \sqrt{3} \left(-1\right)^{\frac{1}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 4 \cdot 108^{\frac{4}{5}} \sqrt{3} \left(-1\right)^{\frac{1}{5}}\right)} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 432 \cdot 108^{\frac{3}{5}} \sqrt{3} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}\right)} \sqrt{-\frac{1}{864} \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 4 \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}}\right)} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - \frac{3}{16} \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} - \frac{3}{16} \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} + \frac{1}{2} \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 3 \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}}} + 108 \, x\right) + {\left(108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(4 \, x^{10} + 12 \, x^{5} + 9\right)} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} + 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(4 \, x^{10} + 12 \, x^{5} + 9\right)} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 4 \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(4 \, x^{10} + 12 \, x^{5} + 9\right)} + 24 \, \sqrt{3} {\left(4 \, x^{10} + 12 \, x^{5} + 9\right)} \sqrt{-\frac{1}{864} \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 4 \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}}\right)} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - \frac{3}{16} \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} - \frac{3}{16} \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} + \frac{1}{2} \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 3 \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}}}\right)} \log\left(\frac{1}{768} \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 4 \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}}\right)} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} + \frac{1}{768} \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} - 4 \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} + 16 \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}}\right)} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - \frac{9}{16} \cdot 108^{\frac{2}{5}} \left(-1\right)^{\frac{3}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} + \frac{9}{4} \cdot 108^{\frac{2}{5}} \left(-1\right)^{\frac{3}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - \frac{1}{3456} \, {\left(108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(108^{\frac{4}{5}} \sqrt{3} \left(-1\right)^{\frac{1}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 4 \cdot 108^{\frac{4}{5}} \sqrt{3} \left(-1\right)^{\frac{1}{5}}\right)} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 432 \cdot 108^{\frac{3}{5}} \sqrt{3} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}\right)} \sqrt{-\frac{1}{864} \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 4 \cdot 108^{\frac{4}{5}} \left(-1\right)^{\frac{1}{5}}\right)} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - \frac{3}{16} \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} + i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} - \frac{3}{16} \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)}^{2} + \frac{1}{2} \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}} {\left(\sqrt{5} - i \, \sqrt{-2 \, \sqrt{5} + 10} + 1\right)} - 3 \cdot 108^{\frac{3}{5}} \left(-1\right)^{\frac{2}{5}}} + 108 \, x\right)}{216000 \, {\left(4 \, x^{10} + 12 \, x^{5} + 9\right)}}"," ",0,"1/216000*(2880*x^7 - 2*108^(4/5)*(-1)^(1/5)*(4*x^10 + 12*x^5 + 9)*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1)*log(-1/6912*108^(3/5)*(-1)^(2/5)*(108^(4/5)*(-1)^(1/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 4*108^(4/5)*(-1)^(1/5))*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1)^2 - 1/64*108^(2/5)*(-1)^(3/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1)^3 - 1/6912*108^(4/5)*(-1)^(1/5)*(108^(3/5)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1)^2 - 4*108^(3/5)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) + 16*108^(3/5)*(-1)^(2/5))*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1) + 1/16*108^(2/5)*(-1)^(3/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1)^2 - 1/4*108^(2/5)*(-1)^(3/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) + 108^(2/5)*(-1)^(3/5) + 6*x) - 2*108^(4/5)*(-1)^(1/5)*(4*x^10 + 12*x^5 + 9)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1)*log(1/384*108^(2/5)*(-1)^(3/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1)^3 + x) + 8*108^(4/5)*(-1)^(1/5)*(4*x^10 + 12*x^5 + 9)*log(-108^(2/5)*(-1)^(3/5) + 6*x) - 6480*x^2 + (108^(4/5)*(-1)^(1/5)*(4*x^10 + 12*x^5 + 9)*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1) + 108^(4/5)*(-1)^(1/5)*(4*x^10 + 12*x^5 + 9)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 4*108^(4/5)*(-1)^(1/5)*(4*x^10 + 12*x^5 + 9) - 24*sqrt(3)*(4*x^10 + 12*x^5 + 9)*sqrt(-1/864*108^(4/5)*(-1)^(1/5)*(108^(4/5)*(-1)^(1/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 4*108^(4/5)*(-1)^(1/5))*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1) - 3/16*108^(3/5)*(-1)^(2/5)*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1)^2 - 3/16*108^(3/5)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1)^2 + 1/2*108^(3/5)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 3*108^(3/5)*(-1)^(2/5)))*log(1/768*108^(3/5)*(-1)^(2/5)*(108^(4/5)*(-1)^(1/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 4*108^(4/5)*(-1)^(1/5))*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1)^2 + 1/768*108^(4/5)*(-1)^(1/5)*(108^(3/5)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1)^2 - 4*108^(3/5)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) + 16*108^(3/5)*(-1)^(2/5))*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1) - 9/16*108^(2/5)*(-1)^(3/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1)^2 + 9/4*108^(2/5)*(-1)^(3/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) + 1/3456*(108^(4/5)*(-1)^(1/5)*(108^(4/5)*sqrt(3)*(-1)^(1/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 4*108^(4/5)*sqrt(3)*(-1)^(1/5))*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1) - 432*108^(3/5)*sqrt(3)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1))*sqrt(-1/864*108^(4/5)*(-1)^(1/5)*(108^(4/5)*(-1)^(1/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 4*108^(4/5)*(-1)^(1/5))*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1) - 3/16*108^(3/5)*(-1)^(2/5)*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1)^2 - 3/16*108^(3/5)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1)^2 + 1/2*108^(3/5)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 3*108^(3/5)*(-1)^(2/5)) + 108*x) + (108^(4/5)*(-1)^(1/5)*(4*x^10 + 12*x^5 + 9)*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1) + 108^(4/5)*(-1)^(1/5)*(4*x^10 + 12*x^5 + 9)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 4*108^(4/5)*(-1)^(1/5)*(4*x^10 + 12*x^5 + 9) + 24*sqrt(3)*(4*x^10 + 12*x^5 + 9)*sqrt(-1/864*108^(4/5)*(-1)^(1/5)*(108^(4/5)*(-1)^(1/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 4*108^(4/5)*(-1)^(1/5))*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1) - 3/16*108^(3/5)*(-1)^(2/5)*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1)^2 - 3/16*108^(3/5)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1)^2 + 1/2*108^(3/5)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 3*108^(3/5)*(-1)^(2/5)))*log(1/768*108^(3/5)*(-1)^(2/5)*(108^(4/5)*(-1)^(1/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 4*108^(4/5)*(-1)^(1/5))*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1)^2 + 1/768*108^(4/5)*(-1)^(1/5)*(108^(3/5)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1)^2 - 4*108^(3/5)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) + 16*108^(3/5)*(-1)^(2/5))*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1) - 9/16*108^(2/5)*(-1)^(3/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1)^2 + 9/4*108^(2/5)*(-1)^(3/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 1/3456*(108^(4/5)*(-1)^(1/5)*(108^(4/5)*sqrt(3)*(-1)^(1/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 4*108^(4/5)*sqrt(3)*(-1)^(1/5))*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1) - 432*108^(3/5)*sqrt(3)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1))*sqrt(-1/864*108^(4/5)*(-1)^(1/5)*(108^(4/5)*(-1)^(1/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 4*108^(4/5)*(-1)^(1/5))*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1) - 3/16*108^(3/5)*(-1)^(2/5)*(sqrt(5) + I*sqrt(-2*sqrt(5) + 10) + 1)^2 - 3/16*108^(3/5)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1)^2 + 1/2*108^(3/5)*(-1)^(2/5)*(sqrt(5) - I*sqrt(-2*sqrt(5) + 10) + 1) - 3*108^(3/5)*(-1)^(2/5)) + 108*x))/(4*x^10 + 12*x^5 + 9)","C",0
178,1,73,0,1.130855," ","integrate(9/5/x^2/(-2*x^2+3)^3,x, algorithm=""fricas"")","-\frac{120 \, x^{4} - 5 \, \sqrt{6} {\left(4 \, x^{5} - 12 \, x^{3} + 9 \, x\right)} \log\left(\frac{2 \, x^{2} + 2 \, \sqrt{6} x + 3}{2 \, x^{2} - 3}\right) - 300 \, x^{2} + 144}{240 \, {\left(4 \, x^{5} - 12 \, x^{3} + 9 \, x\right)}}"," ",0,"-1/240*(120*x^4 - 5*sqrt(6)*(4*x^5 - 12*x^3 + 9*x)*log((2*x^2 + 2*sqrt(6)*x + 3)/(2*x^2 - 3)) - 300*x^2 + 144)/(4*x^5 - 12*x^3 + 9*x)","A",0
179,1,40,0,0.695324," ","integrate((3*x^4+4)/x^2/(x^2+1)^3,x, algorithm=""fricas"")","-\frac{57 \, x^{4} + 103 \, x^{2} + 57 \, {\left(x^{5} + 2 \, x^{3} + x\right)} \arctan\left(x\right) + 32}{8 \, {\left(x^{5} + 2 \, x^{3} + x\right)}}"," ",0,"-1/8*(57*x^4 + 103*x^2 + 57*(x^5 + 2*x^3 + x)*arctan(x) + 32)/(x^5 + 2*x^3 + x)","A",0
180,1,65,0,0.690907," ","integrate((-x^4+5*x^3+6*x^2-3*x+5)/(x^5-x^4-2*x^3+2*x^2+x-1),x, algorithm=""fricas"")","-\frac{2 \, x^{2} + 4 \, {\left(x^{3} - x^{2} - x + 1\right)} \log\left(x + 1\right) - 2 \, {\left(x^{3} - x^{2} - x + 1\right)} \log\left(x - 1\right) + 7 \, x - 3}{2 \, {\left(x^{3} - x^{2} - x + 1\right)}}"," ",0,"-1/2*(2*x^2 + 4*(x^3 - x^2 - x + 1)*log(x + 1) - 2*(x^3 - x^2 - x + 1)*log(x - 1) + 7*x - 3)/(x^3 - x^2 - x + 1)","B",0
181,1,73,0,1.250319," ","integrate((x^2+1)/x/(x^3+1)^2,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(x^{3} + 1\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + 6 \, x^{2} - 5 \, {\left(x^{3} + 1\right)} \log\left(x^{2} - x + 1\right) - 8 \, {\left(x^{3} + 1\right)} \log\left(x + 1\right) + 18 \, {\left(x^{3} + 1\right)} \log\left(x\right) + 6}{18 \, {\left(x^{3} + 1\right)}}"," ",0,"1/18*(2*sqrt(3)*(x^3 + 1)*arctan(1/3*sqrt(3)*(2*x - 1)) + 6*x^2 - 5*(x^3 + 1)*log(x^2 - x + 1) - 8*(x^3 + 1)*log(x + 1) + 18*(x^3 + 1)*log(x) + 6)/(x^3 + 1)","A",0
182,1,97,0,1.042442," ","integrate((x^2-3*x-2)/(1+x)^2/(x^2+x+1)^2,x, algorithm=""fricas"")","-\frac{50 \, \sqrt{3} {\left(x^{3} + 2 \, x^{2} + 2 \, x + 1\right)} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + 66 \, x^{2} - 9 \, {\left(x^{3} + 2 \, x^{2} + 2 \, x + 1\right)} \log\left(x^{2} + x + 1\right) + 18 \, {\left(x^{3} + 2 \, x^{2} + 2 \, x + 1\right)} \log\left(x + 1\right) + 108 \, x + 78}{18 \, {\left(x^{3} + 2 \, x^{2} + 2 \, x + 1\right)}}"," ",0,"-1/18*(50*sqrt(3)*(x^3 + 2*x^2 + 2*x + 1)*arctan(1/3*sqrt(3)*(2*x + 1)) + 66*x^2 - 9*(x^3 + 2*x^2 + 2*x + 1)*log(x^2 + x + 1) + 18*(x^3 + 2*x^2 + 2*x + 1)*log(x + 1) + 108*x + 78)/(x^3 + 2*x^2 + 2*x + 1)","A",0
183,1,55,0,1.193594," ","integrate(1/(1-4*x)^3/(2-3*x),x, algorithm=""fricas"")","-\frac{18 \, {\left(16 \, x^{2} - 8 \, x + 1\right)} \log\left(4 \, x - 1\right) - 18 \, {\left(16 \, x^{2} - 8 \, x + 1\right)} \log\left(3 \, x - 2\right) - 120 \, x + 5}{250 \, {\left(16 \, x^{2} - 8 \, x + 1\right)}}"," ",0,"-1/250*(18*(16*x^2 - 8*x + 1)*log(4*x - 1) - 18*(16*x^2 - 8*x + 1)*log(3*x - 2) - 120*x + 5)/(16*x^2 - 8*x + 1)","A",0
184,1,43,0,1.239205," ","integrate(x^3/(-5*x^2+2)^7,x, algorithm=""fricas"")","\frac{15 \, x^{2} - 1}{750 \, {\left(15625 \, x^{12} - 37500 \, x^{10} + 37500 \, x^{8} - 20000 \, x^{6} + 6000 \, x^{4} - 960 \, x^{2} + 64\right)}}"," ",0,"1/750*(15*x^2 - 1)/(15625*x^12 - 37500*x^10 + 37500*x^8 - 20000*x^6 + 6000*x^4 - 960*x^2 + 64)","A",0
185,1,55,0,1.211057," ","integrate(x^7/(-5*x^2+2)^3,x, algorithm=""fricas"")","-\frac{125 \, x^{6} - 100 \, x^{4} - 40 \, x^{2} + 6 \, {\left(25 \, x^{4} - 20 \, x^{2} + 4\right)} \log\left(5 \, x^{2} - 2\right) + 20}{1250 \, {\left(25 \, x^{4} - 20 \, x^{2} + 4\right)}}"," ",0,"-1/1250*(125*x^6 - 100*x^4 - 40*x^2 + 6*(25*x^4 - 20*x^2 + 4)*log(5*x^2 - 2) + 20)/(25*x^4 - 20*x^2 + 4)","A",0
186,1,56,0,1.323692," ","integrate(1/(-2+x)^3/(1+x)^2,x, algorithm=""fricas"")","\frac{6 \, x^{2} - 2 \, {\left(x^{3} - 3 \, x^{2} + 4\right)} \log\left(x + 1\right) + 2 \, {\left(x^{3} - 3 \, x^{2} + 4\right)} \log\left(x - 2\right) - 15 \, x - 3}{54 \, {\left(x^{3} - 3 \, x^{2} + 4\right)}}"," ",0,"1/54*(6*x^2 - 2*(x^3 - 3*x^2 + 4)*log(x + 1) + 2*(x^3 - 3*x^2 + 4)*log(x - 2) - 15*x - 3)/(x^3 - 3*x^2 + 4)","A",0
187,1,105,0,1.066814," ","integrate(1/(2+x)^3/(3+x)^4,x, algorithm=""fricas"")","\frac{60 \, x^{4} + 630 \, x^{3} + 2450 \, x^{2} - 60 \, {\left(x^{5} + 13 \, x^{4} + 67 \, x^{3} + 171 \, x^{2} + 216 \, x + 108\right)} \log\left(x + 3\right) + 60 \, {\left(x^{5} + 13 \, x^{4} + 67 \, x^{3} + 171 \, x^{2} + 216 \, x + 108\right)} \log\left(x + 2\right) + 4175 \, x + 2627}{6 \, {\left(x^{5} + 13 \, x^{4} + 67 \, x^{3} + 171 \, x^{2} + 216 \, x + 108\right)}}"," ",0,"1/6*(60*x^4 + 630*x^3 + 2450*x^2 - 60*(x^5 + 13*x^4 + 67*x^3 + 171*x^2 + 216*x + 108)*log(x + 3) + 60*(x^5 + 13*x^4 + 67*x^3 + 171*x^2 + 216*x + 108)*log(x + 2) + 4175*x + 2627)/(x^5 + 13*x^4 + 67*x^3 + 171*x^2 + 216*x + 108)","B",0
188,1,39,0,1.276406," ","integrate(x^5/(3+x)^2,x, algorithm=""fricas"")","\frac{x^{5} - 5 \, x^{4} + 30 \, x^{3} - 270 \, x^{2} + 1620 \, {\left(x + 3\right)} \log\left(x + 3\right) - 1296 \, x + 972}{4 \, {\left(x + 3\right)}}"," ",0,"1/4*(x^5 - 5*x^4 + 30*x^3 - 270*x^2 + 1620*(x + 3)*log(x + 3) - 1296*x + 972)/(x + 3)","A",0
189,1,39,0,1.010764," ","integrate((c1*x+b1)*(c*x^2+2*b*x+a),x, algorithm=""fricas"")","\frac{1}{4} x^{4} c_{1} c + \frac{1}{3} x^{3} c b_{1} + \frac{2}{3} x^{3} c_{1} b + x^{2} b_{1} b + \frac{1}{2} x^{2} c_{1} a + x b_{1} a"," ",0,"1/4*x^4*c1*c + 1/3*x^3*c*b1 + 2/3*x^3*c1*b + x^2*b1*b + 1/2*x^2*c1*a + x*b1*a","A",0
190,1,98,0,1.081921," ","integrate((c1*x+b1)*(c*x^2+2*b*x+a)^2,x, algorithm=""fricas"")","\frac{1}{6} x^{6} c_{1} c^{2} + \frac{1}{5} x^{5} c^{2} b_{1} + \frac{4}{5} x^{5} c_{1} c b + x^{4} c b_{1} b + x^{4} c_{1} b^{2} + \frac{1}{2} x^{4} c_{1} c a + \frac{4}{3} x^{3} b_{1} b^{2} + \frac{2}{3} x^{3} c b_{1} a + \frac{4}{3} x^{3} c_{1} b a + 2 x^{2} b_{1} b a + \frac{1}{2} x^{2} c_{1} a^{2} + x b_{1} a^{2}"," ",0,"1/6*x^6*c1*c^2 + 1/5*x^5*c^2*b1 + 4/5*x^5*c1*c*b + x^4*c*b1*b + x^4*c1*b^2 + 1/2*x^4*c1*c*a + 4/3*x^3*b1*b^2 + 2/3*x^3*c*b1*a + 4/3*x^3*c1*b*a + 2*x^2*b1*b*a + 1/2*x^2*c1*a^2 + x*b1*a^2","A",0
191,1,188,0,1.124459," ","integrate((c1*x+b1)*(c*x^2+2*b*x+a)^3,x, algorithm=""fricas"")","\frac{1}{8} x^{8} c_{1} c^{3} + \frac{1}{7} x^{7} c^{3} b_{1} + \frac{6}{7} x^{7} c_{1} c^{2} b + x^{6} c^{2} b_{1} b + 2 x^{6} c_{1} c b^{2} + \frac{1}{2} x^{6} c_{1} c^{2} a + \frac{12}{5} x^{5} c b_{1} b^{2} + \frac{8}{5} x^{5} c_{1} b^{3} + \frac{3}{5} x^{5} c^{2} b_{1} a + \frac{12}{5} x^{5} c_{1} c b a + 2 x^{4} b_{1} b^{3} + 3 x^{4} c b_{1} b a + 3 x^{4} c_{1} b^{2} a + \frac{3}{4} x^{4} c_{1} c a^{2} + 4 x^{3} b_{1} b^{2} a + x^{3} c b_{1} a^{2} + 2 x^{3} c_{1} b a^{2} + 3 x^{2} b_{1} b a^{2} + \frac{1}{2} x^{2} c_{1} a^{3} + x b_{1} a^{3}"," ",0,"1/8*x^8*c1*c^3 + 1/7*x^7*c^3*b1 + 6/7*x^7*c1*c^2*b + x^6*c^2*b1*b + 2*x^6*c1*c*b^2 + 1/2*x^6*c1*c^2*a + 12/5*x^5*c*b1*b^2 + 8/5*x^5*c1*b^3 + 3/5*x^5*c^2*b1*a + 12/5*x^5*c1*c*b*a + 2*x^4*b1*b^3 + 3*x^4*c*b1*b*a + 3*x^4*c1*b^2*a + 3/4*x^4*c1*c*a^2 + 4*x^3*b1*b^2*a + x^3*c*b1*a^2 + 2*x^3*c1*b*a^2 + 3*x^2*b1*b*a^2 + 1/2*x^2*c1*a^3 + x*b1*a^3","A",0
192,1,307,0,1.304329," ","integrate((c1*x+b1)*(c*x^2+2*b*x+a)^4,x, algorithm=""fricas"")","\frac{1}{10} x^{10} c_{1} c^{4} + \frac{1}{9} x^{9} c^{4} b_{1} + \frac{8}{9} x^{9} c_{1} c^{3} b + x^{8} c^{3} b_{1} b + 3 x^{8} c_{1} c^{2} b^{2} + \frac{1}{2} x^{8} c_{1} c^{3} a + \frac{24}{7} x^{7} c^{2} b_{1} b^{2} + \frac{32}{7} x^{7} c_{1} c b^{3} + \frac{4}{7} x^{7} c^{3} b_{1} a + \frac{24}{7} x^{7} c_{1} c^{2} b a + \frac{16}{3} x^{6} c b_{1} b^{3} + \frac{8}{3} x^{6} c_{1} b^{4} + 4 x^{6} c^{2} b_{1} b a + 8 x^{6} c_{1} c b^{2} a + x^{6} c_{1} c^{2} a^{2} + \frac{16}{5} x^{5} b_{1} b^{4} + \frac{48}{5} x^{5} c b_{1} b^{2} a + \frac{32}{5} x^{5} c_{1} b^{3} a + \frac{6}{5} x^{5} c^{2} b_{1} a^{2} + \frac{24}{5} x^{5} c_{1} c b a^{2} + 8 x^{4} b_{1} b^{3} a + 6 x^{4} c b_{1} b a^{2} + 6 x^{4} c_{1} b^{2} a^{2} + x^{4} c_{1} c a^{3} + 8 x^{3} b_{1} b^{2} a^{2} + \frac{4}{3} x^{3} c b_{1} a^{3} + \frac{8}{3} x^{3} c_{1} b a^{3} + 4 x^{2} b_{1} b a^{3} + \frac{1}{2} x^{2} c_{1} a^{4} + x b_{1} a^{4}"," ",0,"1/10*x^10*c1*c^4 + 1/9*x^9*c^4*b1 + 8/9*x^9*c1*c^3*b + x^8*c^3*b1*b + 3*x^8*c1*c^2*b^2 + 1/2*x^8*c1*c^3*a + 24/7*x^7*c^2*b1*b^2 + 32/7*x^7*c1*c*b^3 + 4/7*x^7*c^3*b1*a + 24/7*x^7*c1*c^2*b*a + 16/3*x^6*c*b1*b^3 + 8/3*x^6*c1*b^4 + 4*x^6*c^2*b1*b*a + 8*x^6*c1*c*b^2*a + x^6*c1*c^2*a^2 + 16/5*x^5*b1*b^4 + 48/5*x^5*c*b1*b^2*a + 32/5*x^5*c1*b^3*a + 6/5*x^5*c^2*b1*a^2 + 24/5*x^5*c1*c*b*a^2 + 8*x^4*b1*b^3*a + 6*x^4*c*b1*b*a^2 + 6*x^4*c1*b^2*a^2 + x^4*c1*c*a^3 + 8*x^3*b1*b^2*a^2 + 4/3*x^3*c*b1*a^3 + 8/3*x^3*c1*b*a^3 + 4*x^2*b1*b*a^3 + 1/2*x^2*c1*a^4 + x*b1*a^4","A",0
193,0,0,0,0.929759," ","integrate((c1*x+b1)*(c*x^2+2*b*x+a)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(c_{1} x + b_{1}\right)} {\left(c x^{2} + 2 \, b x + a\right)}^{n}, x\right)"," ",0,"integral((c1*x + b1)*(c*x^2 + 2*b*x + a)^n, x)","F",0
194,1,203,0,0.754931," ","integrate((c1*x+b1)/(c*x^2+2*b*x+a),x, algorithm=""fricas"")","\left[\frac{{\left(b^{2} - a c\right)} c_{1} \log\left(c x^{2} + 2 \, b x + a\right) - \sqrt{b^{2} - a c} {\left(b_{1} c - b c_{1}\right)} \log\left(\frac{c^{2} x^{2} + 2 \, b c x + 2 \, b^{2} - a c + 2 \, \sqrt{b^{2} - a c} {\left(c x + b\right)}}{c x^{2} + 2 \, b x + a}\right)}{2 \, {\left(b^{2} c - a c^{2}\right)}}, \frac{{\left(b^{2} - a c\right)} c_{1} \log\left(c x^{2} + 2 \, b x + a\right) - 2 \, \sqrt{-b^{2} + a c} {\left(b_{1} c - b c_{1}\right)} \arctan\left(-\frac{\sqrt{-b^{2} + a c} {\left(c x + b\right)}}{b^{2} - a c}\right)}{2 \, {\left(b^{2} c - a c^{2}\right)}}\right]"," ",0,"[1/2*((b^2 - a*c)*c1*log(c*x^2 + 2*b*x + a) - sqrt(b^2 - a*c)*(b1*c - b*c1)*log((c^2*x^2 + 2*b*c*x + 2*b^2 - a*c + 2*sqrt(b^2 - a*c)*(c*x + b))/(c*x^2 + 2*b*x + a)))/(b^2*c - a*c^2), 1/2*((b^2 - a*c)*c1*log(c*x^2 + 2*b*x + a) - 2*sqrt(-b^2 + a*c)*(b1*c - b*c1)*arctan(-sqrt(-b^2 + a*c)*(c*x + b)/(b^2 - a*c)))/(b^2*c - a*c^2)]","A",0
195,1,447,0,1.325424," ","integrate((c1*x+b1)/(c*x^2+2*b*x+a)^2,x, algorithm=""fricas"")","\left[-\frac{2 \, b^{3} b_{1} - 2 \, a b b_{1} c - {\left(a b_{1} c - a b c_{1} + {\left(b_{1} c^{2} - b c c_{1}\right)} x^{2} + 2 \, {\left(b b_{1} c - b^{2} c_{1}\right)} x\right)} \sqrt{b^{2} - a c} \log\left(\frac{c^{2} x^{2} + 2 \, b c x + 2 \, b^{2} - a c + 2 \, \sqrt{b^{2} - a c} {\left(c x + b\right)}}{c x^{2} + 2 \, b x + a}\right) - 2 \, {\left(a b^{2} - a^{2} c\right)} c_{1} + 2 \, {\left(b^{2} b_{1} c - a b_{1} c^{2} - {\left(b^{3} - a b c\right)} c_{1}\right)} x}{4 \, {\left(a b^{4} - 2 \, a^{2} b^{2} c + a^{3} c^{2} + {\left(b^{4} c - 2 \, a b^{2} c^{2} + a^{2} c^{3}\right)} x^{2} + 2 \, {\left(b^{5} - 2 \, a b^{3} c + a^{2} b c^{2}\right)} x\right)}}, -\frac{b^{3} b_{1} - a b b_{1} c - {\left(a b_{1} c - a b c_{1} + {\left(b_{1} c^{2} - b c c_{1}\right)} x^{2} + 2 \, {\left(b b_{1} c - b^{2} c_{1}\right)} x\right)} \sqrt{-b^{2} + a c} \arctan\left(-\frac{\sqrt{-b^{2} + a c} {\left(c x + b\right)}}{b^{2} - a c}\right) - {\left(a b^{2} - a^{2} c\right)} c_{1} + {\left(b^{2} b_{1} c - a b_{1} c^{2} - {\left(b^{3} - a b c\right)} c_{1}\right)} x}{2 \, {\left(a b^{4} - 2 \, a^{2} b^{2} c + a^{3} c^{2} + {\left(b^{4} c - 2 \, a b^{2} c^{2} + a^{2} c^{3}\right)} x^{2} + 2 \, {\left(b^{5} - 2 \, a b^{3} c + a^{2} b c^{2}\right)} x\right)}}\right]"," ",0,"[-1/4*(2*b^3*b1 - 2*a*b*b1*c - (a*b1*c - a*b*c1 + (b1*c^2 - b*c*c1)*x^2 + 2*(b*b1*c - b^2*c1)*x)*sqrt(b^2 - a*c)*log((c^2*x^2 + 2*b*c*x + 2*b^2 - a*c + 2*sqrt(b^2 - a*c)*(c*x + b))/(c*x^2 + 2*b*x + a)) - 2*(a*b^2 - a^2*c)*c1 + 2*(b^2*b1*c - a*b1*c^2 - (b^3 - a*b*c)*c1)*x)/(a*b^4 - 2*a^2*b^2*c + a^3*c^2 + (b^4*c - 2*a*b^2*c^2 + a^2*c^3)*x^2 + 2*(b^5 - 2*a*b^3*c + a^2*b*c^2)*x), -1/2*(b^3*b1 - a*b*b1*c - (a*b1*c - a*b*c1 + (b1*c^2 - b*c*c1)*x^2 + 2*(b*b1*c - b^2*c1)*x)*sqrt(-b^2 + a*c)*arctan(-sqrt(-b^2 + a*c)*(c*x + b)/(b^2 - a*c)) - (a*b^2 - a^2*c)*c1 + (b^2*b1*c - a*b1*c^2 - (b^3 - a*b*c)*c1)*x)/(a*b^4 - 2*a^2*b^2*c + a^3*c^2 + (b^4*c - 2*a*b^2*c^2 + a^2*c^3)*x^2 + 2*(b^5 - 2*a*b^3*c + a^2*b*c^2)*x)]","B",0
196,1,1104,0,1.269395," ","integrate((c1*x+b1)/(c*x^2+2*b*x+a)^3,x, algorithm=""fricas"")","\left[-\frac{4 \, b^{5} b_{1} - 14 \, a b^{3} b_{1} c + 10 \, a^{2} b b_{1} c^{2} - 6 \, {\left(b^{2} b_{1} c^{3} - a b_{1} c^{4} - {\left(b^{3} c^{2} - a b c^{3}\right)} c_{1}\right)} x^{3} - 18 \, {\left(b^{3} b_{1} c^{2} - a b b_{1} c^{3} - {\left(b^{4} c - a b^{2} c^{2}\right)} c_{1}\right)} x^{2} + 3 \, {\left(a^{2} b_{1} c^{2} - a^{2} b c c_{1} + {\left(b_{1} c^{4} - b c^{3} c_{1}\right)} x^{4} + 4 \, {\left(b b_{1} c^{3} - b^{2} c^{2} c_{1}\right)} x^{3} + 2 \, {\left(2 \, b^{2} b_{1} c^{2} + a b_{1} c^{3} - {\left(2 \, b^{3} c + a b c^{2}\right)} c_{1}\right)} x^{2} + 4 \, {\left(a b b_{1} c^{2} - a b^{2} c c_{1}\right)} x\right)} \sqrt{b^{2} - a c} \log\left(\frac{c^{2} x^{2} + 2 \, b c x + 2 \, b^{2} - a c + 2 \, \sqrt{b^{2} - a c} {\left(c x + b\right)}}{c x^{2} + 2 \, b x + a}\right) + 2 \, {\left(a b^{4} + a^{2} b^{2} c - 2 \, a^{3} c^{2}\right)} c_{1} - 2 \, {\left(4 \, b^{4} b_{1} c + a b^{2} b_{1} c^{2} - 5 \, a^{2} b_{1} c^{3} - {\left(4 \, b^{5} + a b^{3} c - 5 \, a^{2} b c^{2}\right)} c_{1}\right)} x}{16 \, {\left(a^{2} b^{6} - 3 \, a^{3} b^{4} c + 3 \, a^{4} b^{2} c^{2} - a^{5} c^{3} + {\left(b^{6} c^{2} - 3 \, a b^{4} c^{3} + 3 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} x^{4} + 4 \, {\left(b^{7} c - 3 \, a b^{5} c^{2} + 3 \, a^{2} b^{3} c^{3} - a^{3} b c^{4}\right)} x^{3} + 2 \, {\left(2 \, b^{8} - 5 \, a b^{6} c + 3 \, a^{2} b^{4} c^{2} + a^{3} b^{2} c^{3} - a^{4} c^{4}\right)} x^{2} + 4 \, {\left(a b^{7} - 3 \, a^{2} b^{5} c + 3 \, a^{3} b^{3} c^{2} - a^{4} b c^{3}\right)} x\right)}}, -\frac{2 \, b^{5} b_{1} - 7 \, a b^{3} b_{1} c + 5 \, a^{2} b b_{1} c^{2} - 3 \, {\left(b^{2} b_{1} c^{3} - a b_{1} c^{4} - {\left(b^{3} c^{2} - a b c^{3}\right)} c_{1}\right)} x^{3} - 9 \, {\left(b^{3} b_{1} c^{2} - a b b_{1} c^{3} - {\left(b^{4} c - a b^{2} c^{2}\right)} c_{1}\right)} x^{2} + 3 \, {\left(a^{2} b_{1} c^{2} - a^{2} b c c_{1} + {\left(b_{1} c^{4} - b c^{3} c_{1}\right)} x^{4} + 4 \, {\left(b b_{1} c^{3} - b^{2} c^{2} c_{1}\right)} x^{3} + 2 \, {\left(2 \, b^{2} b_{1} c^{2} + a b_{1} c^{3} - {\left(2 \, b^{3} c + a b c^{2}\right)} c_{1}\right)} x^{2} + 4 \, {\left(a b b_{1} c^{2} - a b^{2} c c_{1}\right)} x\right)} \sqrt{-b^{2} + a c} \arctan\left(-\frac{\sqrt{-b^{2} + a c} {\left(c x + b\right)}}{b^{2} - a c}\right) + {\left(a b^{4} + a^{2} b^{2} c - 2 \, a^{3} c^{2}\right)} c_{1} - {\left(4 \, b^{4} b_{1} c + a b^{2} b_{1} c^{2} - 5 \, a^{2} b_{1} c^{3} - {\left(4 \, b^{5} + a b^{3} c - 5 \, a^{2} b c^{2}\right)} c_{1}\right)} x}{8 \, {\left(a^{2} b^{6} - 3 \, a^{3} b^{4} c + 3 \, a^{4} b^{2} c^{2} - a^{5} c^{3} + {\left(b^{6} c^{2} - 3 \, a b^{4} c^{3} + 3 \, a^{2} b^{2} c^{4} - a^{3} c^{5}\right)} x^{4} + 4 \, {\left(b^{7} c - 3 \, a b^{5} c^{2} + 3 \, a^{2} b^{3} c^{3} - a^{3} b c^{4}\right)} x^{3} + 2 \, {\left(2 \, b^{8} - 5 \, a b^{6} c + 3 \, a^{2} b^{4} c^{2} + a^{3} b^{2} c^{3} - a^{4} c^{4}\right)} x^{2} + 4 \, {\left(a b^{7} - 3 \, a^{2} b^{5} c + 3 \, a^{3} b^{3} c^{2} - a^{4} b c^{3}\right)} x\right)}}\right]"," ",0,"[-1/16*(4*b^5*b1 - 14*a*b^3*b1*c + 10*a^2*b*b1*c^2 - 6*(b^2*b1*c^3 - a*b1*c^4 - (b^3*c^2 - a*b*c^3)*c1)*x^3 - 18*(b^3*b1*c^2 - a*b*b1*c^3 - (b^4*c - a*b^2*c^2)*c1)*x^2 + 3*(a^2*b1*c^2 - a^2*b*c*c1 + (b1*c^4 - b*c^3*c1)*x^4 + 4*(b*b1*c^3 - b^2*c^2*c1)*x^3 + 2*(2*b^2*b1*c^2 + a*b1*c^3 - (2*b^3*c + a*b*c^2)*c1)*x^2 + 4*(a*b*b1*c^2 - a*b^2*c*c1)*x)*sqrt(b^2 - a*c)*log((c^2*x^2 + 2*b*c*x + 2*b^2 - a*c + 2*sqrt(b^2 - a*c)*(c*x + b))/(c*x^2 + 2*b*x + a)) + 2*(a*b^4 + a^2*b^2*c - 2*a^3*c^2)*c1 - 2*(4*b^4*b1*c + a*b^2*b1*c^2 - 5*a^2*b1*c^3 - (4*b^5 + a*b^3*c - 5*a^2*b*c^2)*c1)*x)/(a^2*b^6 - 3*a^3*b^4*c + 3*a^4*b^2*c^2 - a^5*c^3 + (b^6*c^2 - 3*a*b^4*c^3 + 3*a^2*b^2*c^4 - a^3*c^5)*x^4 + 4*(b^7*c - 3*a*b^5*c^2 + 3*a^2*b^3*c^3 - a^3*b*c^4)*x^3 + 2*(2*b^8 - 5*a*b^6*c + 3*a^2*b^4*c^2 + a^3*b^2*c^3 - a^4*c^4)*x^2 + 4*(a*b^7 - 3*a^2*b^5*c + 3*a^3*b^3*c^2 - a^4*b*c^3)*x), -1/8*(2*b^5*b1 - 7*a*b^3*b1*c + 5*a^2*b*b1*c^2 - 3*(b^2*b1*c^3 - a*b1*c^4 - (b^3*c^2 - a*b*c^3)*c1)*x^3 - 9*(b^3*b1*c^2 - a*b*b1*c^3 - (b^4*c - a*b^2*c^2)*c1)*x^2 + 3*(a^2*b1*c^2 - a^2*b*c*c1 + (b1*c^4 - b*c^3*c1)*x^4 + 4*(b*b1*c^3 - b^2*c^2*c1)*x^3 + 2*(2*b^2*b1*c^2 + a*b1*c^3 - (2*b^3*c + a*b*c^2)*c1)*x^2 + 4*(a*b*b1*c^2 - a*b^2*c*c1)*x)*sqrt(-b^2 + a*c)*arctan(-sqrt(-b^2 + a*c)*(c*x + b)/(b^2 - a*c)) + (a*b^4 + a^2*b^2*c - 2*a^3*c^2)*c1 - (4*b^4*b1*c + a*b^2*b1*c^2 - 5*a^2*b1*c^3 - (4*b^5 + a*b^3*c - 5*a^2*b*c^2)*c1)*x)/(a^2*b^6 - 3*a^3*b^4*c + 3*a^4*b^2*c^2 - a^5*c^3 + (b^6*c^2 - 3*a*b^4*c^3 + 3*a^2*b^2*c^4 - a^3*c^5)*x^4 + 4*(b^7*c - 3*a*b^5*c^2 + 3*a^2*b^3*c^3 - a^3*b*c^4)*x^3 + 2*(2*b^8 - 5*a*b^6*c + 3*a^2*b^4*c^2 + a^3*b^2*c^3 - a^4*c^4)*x^2 + 4*(a*b^7 - 3*a^2*b^5*c + 3*a^3*b^3*c^2 - a^4*b*c^3)*x)]","B",0
197,1,1950,0,1.338499," ","integrate((c1*x+b1)/(c*x^2+2*b*x+a)^4,x, algorithm=""fricas"")","\left[-\frac{16 \, b^{7} b_{1} - 68 \, a b^{5} b_{1} c + 118 \, a^{2} b^{3} b_{1} c^{2} - 66 \, a^{3} b b_{1} c^{3} + 30 \, {\left(b^{2} b_{1} c^{5} - a b_{1} c^{6} - {\left(b^{3} c^{4} - a b c^{5}\right)} c_{1}\right)} x^{5} + 150 \, {\left(b^{3} b_{1} c^{4} - a b b_{1} c^{5} - {\left(b^{4} c^{3} - a b^{2} c^{4}\right)} c_{1}\right)} x^{4} + 20 \, {\left(11 \, b^{4} b_{1} c^{3} - 7 \, a b^{2} b_{1} c^{4} - 4 \, a^{2} b_{1} c^{5} - {\left(11 \, b^{5} c^{2} - 7 \, a b^{3} c^{3} - 4 \, a^{2} b c^{4}\right)} c_{1}\right)} x^{3} + 60 \, {\left(b^{5} b_{1} c^{2} + 3 \, a b^{3} b_{1} c^{3} - 4 \, a^{2} b b_{1} c^{4} - {\left(b^{6} c + 3 \, a b^{4} c^{2} - 4 \, a^{2} b^{2} c^{3}\right)} c_{1}\right)} x^{2} - 15 \, {\left(a^{3} b_{1} c^{3} - a^{3} b c^{2} c_{1} + {\left(b_{1} c^{6} - b c^{5} c_{1}\right)} x^{6} + 6 \, {\left(b b_{1} c^{5} - b^{2} c^{4} c_{1}\right)} x^{5} + 3 \, {\left(4 \, b^{2} b_{1} c^{4} + a b_{1} c^{5} - {\left(4 \, b^{3} c^{3} + a b c^{4}\right)} c_{1}\right)} x^{4} + 4 \, {\left(2 \, b^{3} b_{1} c^{3} + 3 \, a b b_{1} c^{4} - {\left(2 \, b^{4} c^{2} + 3 \, a b^{2} c^{3}\right)} c_{1}\right)} x^{3} + 3 \, {\left(4 \, a b^{2} b_{1} c^{3} + a^{2} b_{1} c^{4} - {\left(4 \, a b^{3} c^{2} + a^{2} b c^{3}\right)} c_{1}\right)} x^{2} + 6 \, {\left(a^{2} b b_{1} c^{3} - a^{2} b^{2} c^{2} c_{1}\right)} x\right)} \sqrt{b^{2} - a c} \log\left(\frac{c^{2} x^{2} + 2 \, b c x + 2 \, b^{2} - a c + 2 \, \sqrt{b^{2} - a c} {\left(c x + b\right)}}{c x^{2} + 2 \, b x + a}\right) + 2 \, {\left(2 \, a b^{6} - 11 \, a^{2} b^{4} c + a^{3} b^{2} c^{2} + 8 \, a^{4} c^{3}\right)} c_{1} - 6 \, {\left(4 \, b^{6} b_{1} c - 22 \, a b^{4} b_{1} c^{2} + 7 \, a^{2} b^{2} b_{1} c^{3} + 11 \, a^{3} b_{1} c^{4} - {\left(4 \, b^{7} - 22 \, a b^{5} c + 7 \, a^{2} b^{3} c^{2} + 11 \, a^{3} b c^{3}\right)} c_{1}\right)} x}{96 \, {\left(a^{3} b^{8} - 4 \, a^{4} b^{6} c + 6 \, a^{5} b^{4} c^{2} - 4 \, a^{6} b^{2} c^{3} + a^{7} c^{4} + {\left(b^{8} c^{3} - 4 \, a b^{6} c^{4} + 6 \, a^{2} b^{4} c^{5} - 4 \, a^{3} b^{2} c^{6} + a^{4} c^{7}\right)} x^{6} + 6 \, {\left(b^{9} c^{2} - 4 \, a b^{7} c^{3} + 6 \, a^{2} b^{5} c^{4} - 4 \, a^{3} b^{3} c^{5} + a^{4} b c^{6}\right)} x^{5} + 3 \, {\left(4 \, b^{10} c - 15 \, a b^{8} c^{2} + 20 \, a^{2} b^{6} c^{3} - 10 \, a^{3} b^{4} c^{4} + a^{5} c^{6}\right)} x^{4} + 4 \, {\left(2 \, b^{11} - 5 \, a b^{9} c + 10 \, a^{3} b^{5} c^{3} - 10 \, a^{4} b^{3} c^{4} + 3 \, a^{5} b c^{5}\right)} x^{3} + 3 \, {\left(4 \, a b^{10} - 15 \, a^{2} b^{8} c + 20 \, a^{3} b^{6} c^{2} - 10 \, a^{4} b^{4} c^{3} + a^{6} c^{5}\right)} x^{2} + 6 \, {\left(a^{2} b^{9} - 4 \, a^{3} b^{7} c + 6 \, a^{4} b^{5} c^{2} - 4 \, a^{5} b^{3} c^{3} + a^{6} b c^{4}\right)} x\right)}}, -\frac{8 \, b^{7} b_{1} - 34 \, a b^{5} b_{1} c + 59 \, a^{2} b^{3} b_{1} c^{2} - 33 \, a^{3} b b_{1} c^{3} + 15 \, {\left(b^{2} b_{1} c^{5} - a b_{1} c^{6} - {\left(b^{3} c^{4} - a b c^{5}\right)} c_{1}\right)} x^{5} + 75 \, {\left(b^{3} b_{1} c^{4} - a b b_{1} c^{5} - {\left(b^{4} c^{3} - a b^{2} c^{4}\right)} c_{1}\right)} x^{4} + 10 \, {\left(11 \, b^{4} b_{1} c^{3} - 7 \, a b^{2} b_{1} c^{4} - 4 \, a^{2} b_{1} c^{5} - {\left(11 \, b^{5} c^{2} - 7 \, a b^{3} c^{3} - 4 \, a^{2} b c^{4}\right)} c_{1}\right)} x^{3} + 30 \, {\left(b^{5} b_{1} c^{2} + 3 \, a b^{3} b_{1} c^{3} - 4 \, a^{2} b b_{1} c^{4} - {\left(b^{6} c + 3 \, a b^{4} c^{2} - 4 \, a^{2} b^{2} c^{3}\right)} c_{1}\right)} x^{2} - 15 \, {\left(a^{3} b_{1} c^{3} - a^{3} b c^{2} c_{1} + {\left(b_{1} c^{6} - b c^{5} c_{1}\right)} x^{6} + 6 \, {\left(b b_{1} c^{5} - b^{2} c^{4} c_{1}\right)} x^{5} + 3 \, {\left(4 \, b^{2} b_{1} c^{4} + a b_{1} c^{5} - {\left(4 \, b^{3} c^{3} + a b c^{4}\right)} c_{1}\right)} x^{4} + 4 \, {\left(2 \, b^{3} b_{1} c^{3} + 3 \, a b b_{1} c^{4} - {\left(2 \, b^{4} c^{2} + 3 \, a b^{2} c^{3}\right)} c_{1}\right)} x^{3} + 3 \, {\left(4 \, a b^{2} b_{1} c^{3} + a^{2} b_{1} c^{4} - {\left(4 \, a b^{3} c^{2} + a^{2} b c^{3}\right)} c_{1}\right)} x^{2} + 6 \, {\left(a^{2} b b_{1} c^{3} - a^{2} b^{2} c^{2} c_{1}\right)} x\right)} \sqrt{-b^{2} + a c} \arctan\left(-\frac{\sqrt{-b^{2} + a c} {\left(c x + b\right)}}{b^{2} - a c}\right) + {\left(2 \, a b^{6} - 11 \, a^{2} b^{4} c + a^{3} b^{2} c^{2} + 8 \, a^{4} c^{3}\right)} c_{1} - 3 \, {\left(4 \, b^{6} b_{1} c - 22 \, a b^{4} b_{1} c^{2} + 7 \, a^{2} b^{2} b_{1} c^{3} + 11 \, a^{3} b_{1} c^{4} - {\left(4 \, b^{7} - 22 \, a b^{5} c + 7 \, a^{2} b^{3} c^{2} + 11 \, a^{3} b c^{3}\right)} c_{1}\right)} x}{48 \, {\left(a^{3} b^{8} - 4 \, a^{4} b^{6} c + 6 \, a^{5} b^{4} c^{2} - 4 \, a^{6} b^{2} c^{3} + a^{7} c^{4} + {\left(b^{8} c^{3} - 4 \, a b^{6} c^{4} + 6 \, a^{2} b^{4} c^{5} - 4 \, a^{3} b^{2} c^{6} + a^{4} c^{7}\right)} x^{6} + 6 \, {\left(b^{9} c^{2} - 4 \, a b^{7} c^{3} + 6 \, a^{2} b^{5} c^{4} - 4 \, a^{3} b^{3} c^{5} + a^{4} b c^{6}\right)} x^{5} + 3 \, {\left(4 \, b^{10} c - 15 \, a b^{8} c^{2} + 20 \, a^{2} b^{6} c^{3} - 10 \, a^{3} b^{4} c^{4} + a^{5} c^{6}\right)} x^{4} + 4 \, {\left(2 \, b^{11} - 5 \, a b^{9} c + 10 \, a^{3} b^{5} c^{3} - 10 \, a^{4} b^{3} c^{4} + 3 \, a^{5} b c^{5}\right)} x^{3} + 3 \, {\left(4 \, a b^{10} - 15 \, a^{2} b^{8} c + 20 \, a^{3} b^{6} c^{2} - 10 \, a^{4} b^{4} c^{3} + a^{6} c^{5}\right)} x^{2} + 6 \, {\left(a^{2} b^{9} - 4 \, a^{3} b^{7} c + 6 \, a^{4} b^{5} c^{2} - 4 \, a^{5} b^{3} c^{3} + a^{6} b c^{4}\right)} x\right)}}\right]"," ",0,"[-1/96*(16*b^7*b1 - 68*a*b^5*b1*c + 118*a^2*b^3*b1*c^2 - 66*a^3*b*b1*c^3 + 30*(b^2*b1*c^5 - a*b1*c^6 - (b^3*c^4 - a*b*c^5)*c1)*x^5 + 150*(b^3*b1*c^4 - a*b*b1*c^5 - (b^4*c^3 - a*b^2*c^4)*c1)*x^4 + 20*(11*b^4*b1*c^3 - 7*a*b^2*b1*c^4 - 4*a^2*b1*c^5 - (11*b^5*c^2 - 7*a*b^3*c^3 - 4*a^2*b*c^4)*c1)*x^3 + 60*(b^5*b1*c^2 + 3*a*b^3*b1*c^3 - 4*a^2*b*b1*c^4 - (b^6*c + 3*a*b^4*c^2 - 4*a^2*b^2*c^3)*c1)*x^2 - 15*(a^3*b1*c^3 - a^3*b*c^2*c1 + (b1*c^6 - b*c^5*c1)*x^6 + 6*(b*b1*c^5 - b^2*c^4*c1)*x^5 + 3*(4*b^2*b1*c^4 + a*b1*c^5 - (4*b^3*c^3 + a*b*c^4)*c1)*x^4 + 4*(2*b^3*b1*c^3 + 3*a*b*b1*c^4 - (2*b^4*c^2 + 3*a*b^2*c^3)*c1)*x^3 + 3*(4*a*b^2*b1*c^3 + a^2*b1*c^4 - (4*a*b^3*c^2 + a^2*b*c^3)*c1)*x^2 + 6*(a^2*b*b1*c^3 - a^2*b^2*c^2*c1)*x)*sqrt(b^2 - a*c)*log((c^2*x^2 + 2*b*c*x + 2*b^2 - a*c + 2*sqrt(b^2 - a*c)*(c*x + b))/(c*x^2 + 2*b*x + a)) + 2*(2*a*b^6 - 11*a^2*b^4*c + a^3*b^2*c^2 + 8*a^4*c^3)*c1 - 6*(4*b^6*b1*c - 22*a*b^4*b1*c^2 + 7*a^2*b^2*b1*c^3 + 11*a^3*b1*c^4 - (4*b^7 - 22*a*b^5*c + 7*a^2*b^3*c^2 + 11*a^3*b*c^3)*c1)*x)/(a^3*b^8 - 4*a^4*b^6*c + 6*a^5*b^4*c^2 - 4*a^6*b^2*c^3 + a^7*c^4 + (b^8*c^3 - 4*a*b^6*c^4 + 6*a^2*b^4*c^5 - 4*a^3*b^2*c^6 + a^4*c^7)*x^6 + 6*(b^9*c^2 - 4*a*b^7*c^3 + 6*a^2*b^5*c^4 - 4*a^3*b^3*c^5 + a^4*b*c^6)*x^5 + 3*(4*b^10*c - 15*a*b^8*c^2 + 20*a^2*b^6*c^3 - 10*a^3*b^4*c^4 + a^5*c^6)*x^4 + 4*(2*b^11 - 5*a*b^9*c + 10*a^3*b^5*c^3 - 10*a^4*b^3*c^4 + 3*a^5*b*c^5)*x^3 + 3*(4*a*b^10 - 15*a^2*b^8*c + 20*a^3*b^6*c^2 - 10*a^4*b^4*c^3 + a^6*c^5)*x^2 + 6*(a^2*b^9 - 4*a^3*b^7*c + 6*a^4*b^5*c^2 - 4*a^5*b^3*c^3 + a^6*b*c^4)*x), -1/48*(8*b^7*b1 - 34*a*b^5*b1*c + 59*a^2*b^3*b1*c^2 - 33*a^3*b*b1*c^3 + 15*(b^2*b1*c^5 - a*b1*c^6 - (b^3*c^4 - a*b*c^5)*c1)*x^5 + 75*(b^3*b1*c^4 - a*b*b1*c^5 - (b^4*c^3 - a*b^2*c^4)*c1)*x^4 + 10*(11*b^4*b1*c^3 - 7*a*b^2*b1*c^4 - 4*a^2*b1*c^5 - (11*b^5*c^2 - 7*a*b^3*c^3 - 4*a^2*b*c^4)*c1)*x^3 + 30*(b^5*b1*c^2 + 3*a*b^3*b1*c^3 - 4*a^2*b*b1*c^4 - (b^6*c + 3*a*b^4*c^2 - 4*a^2*b^2*c^3)*c1)*x^2 - 15*(a^3*b1*c^3 - a^3*b*c^2*c1 + (b1*c^6 - b*c^5*c1)*x^6 + 6*(b*b1*c^5 - b^2*c^4*c1)*x^5 + 3*(4*b^2*b1*c^4 + a*b1*c^5 - (4*b^3*c^3 + a*b*c^4)*c1)*x^4 + 4*(2*b^3*b1*c^3 + 3*a*b*b1*c^4 - (2*b^4*c^2 + 3*a*b^2*c^3)*c1)*x^3 + 3*(4*a*b^2*b1*c^3 + a^2*b1*c^4 - (4*a*b^3*c^2 + a^2*b*c^3)*c1)*x^2 + 6*(a^2*b*b1*c^3 - a^2*b^2*c^2*c1)*x)*sqrt(-b^2 + a*c)*arctan(-sqrt(-b^2 + a*c)*(c*x + b)/(b^2 - a*c)) + (2*a*b^6 - 11*a^2*b^4*c + a^3*b^2*c^2 + 8*a^4*c^3)*c1 - 3*(4*b^6*b1*c - 22*a*b^4*b1*c^2 + 7*a^2*b^2*b1*c^3 + 11*a^3*b1*c^4 - (4*b^7 - 22*a*b^5*c + 7*a^2*b^3*c^2 + 11*a^3*b*c^3)*c1)*x)/(a^3*b^8 - 4*a^4*b^6*c + 6*a^5*b^4*c^2 - 4*a^6*b^2*c^3 + a^7*c^4 + (b^8*c^3 - 4*a*b^6*c^4 + 6*a^2*b^4*c^5 - 4*a^3*b^2*c^6 + a^4*c^7)*x^6 + 6*(b^9*c^2 - 4*a*b^7*c^3 + 6*a^2*b^5*c^4 - 4*a^3*b^3*c^5 + a^4*b*c^6)*x^5 + 3*(4*b^10*c - 15*a*b^8*c^2 + 20*a^2*b^6*c^3 - 10*a^3*b^4*c^4 + a^5*c^6)*x^4 + 4*(2*b^11 - 5*a*b^9*c + 10*a^3*b^5*c^3 - 10*a^4*b^3*c^4 + 3*a^5*b*c^5)*x^3 + 3*(4*a*b^10 - 15*a^2*b^8*c + 20*a^3*b^6*c^2 - 10*a^4*b^4*c^3 + a^6*c^5)*x^2 + 6*(a^2*b^9 - 4*a^3*b^7*c + 6*a^4*b^5*c^2 - 4*a^5*b^3*c^3 + a^6*b*c^4)*x)]","B",0
198,0,0,0,1.323500," ","integrate((c1*x+b1)/((c*x^2+2*b*x+a)^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{c_{1} x + b_{1}}{{\left(c x^{2} + 2 \, b x + a\right)}^{n}}, x\right)"," ",0,"integral((c1*x + b1)/(c*x^2 + 2*b*x + a)^n, x)","F",0
199,1,52,0,1.247664," ","integrate(x/(2*x^2+6*x+3),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{3} \log\left(\frac{2 \, x^{2} + \sqrt{3} {\left(2 \, x + 3\right)} + 6 \, x + 6}{2 \, x^{2} + 6 \, x + 3}\right) + \frac{1}{4} \, \log\left(2 \, x^{2} + 6 \, x + 3\right)"," ",0,"1/4*sqrt(3)*log((2*x^2 + sqrt(3)*(2*x + 3) + 6*x + 6)/(2*x^2 + 6*x + 3)) + 1/4*log(2*x^2 + 6*x + 3)","A",0
200,1,97,0,1.146181," ","integrate((-3+2*x)/(2*x^2+6*x+3)^3,x, algorithm=""fricas"")","-\frac{24 \, x^{3} - 2 \, \sqrt{3} {\left(4 \, x^{4} + 24 \, x^{3} + 48 \, x^{2} + 36 \, x + 9\right)} \log\left(\frac{2 \, x^{2} + \sqrt{3} {\left(2 \, x + 3\right)} + 6 \, x + 6}{2 \, x^{2} + 6 \, x + 3}\right) + 108 \, x^{2} + 132 \, x + 39}{12 \, {\left(4 \, x^{4} + 24 \, x^{3} + 48 \, x^{2} + 36 \, x + 9\right)}}"," ",0,"-1/12*(24*x^3 - 2*sqrt(3)*(4*x^4 + 24*x^3 + 48*x^2 + 36*x + 9)*log((2*x^2 + sqrt(3)*(2*x + 3) + 6*x + 6)/(2*x^2 + 6*x + 3)) + 108*x^2 + 132*x + 39)/(4*x^4 + 24*x^3 + 48*x^2 + 36*x + 9)","A",0
201,1,45,0,1.134969," ","integrate((-1+x)/(x^2+5*x+4)^2,x, algorithm=""fricas"")","-\frac{7 \, {\left(x^{2} + 5 \, x + 4\right)} \log\left(x + 4\right) - 7 \, {\left(x^{2} + 5 \, x + 4\right)} \log\left(x + 1\right) - 21 \, x - 39}{27 \, {\left(x^{2} + 5 \, x + 4\right)}}"," ",0,"-1/27*(7*(x^2 + 5*x + 4)*log(x + 4) - 7*(x^2 + 5*x + 4)*log(x + 1) - 21*x - 39)/(x^2 + 5*x + 4)","A",0
202,1,165,0,0.741174," ","integrate(1/(x^2+3*x+2)^5,x, algorithm=""fricas"")","\frac{840 \, x^{7} + 8820 \, x^{6} + 38920 \, x^{5} + 93450 \, x^{4} + 131768 \, x^{3} + 109116 \, x^{2} - 840 \, {\left(x^{8} + 12 \, x^{7} + 62 \, x^{6} + 180 \, x^{5} + 321 \, x^{4} + 360 \, x^{3} + 248 \, x^{2} + 96 \, x + 16\right)} \log\left(x + 2\right) + 840 \, {\left(x^{8} + 12 \, x^{7} + 62 \, x^{6} + 180 \, x^{5} + 321 \, x^{4} + 360 \, x^{3} + 248 \, x^{2} + 96 \, x + 16\right)} \log\left(x + 1\right) + 49176 \, x + 9315}{12 \, {\left(x^{8} + 12 \, x^{7} + 62 \, x^{6} + 180 \, x^{5} + 321 \, x^{4} + 360 \, x^{3} + 248 \, x^{2} + 96 \, x + 16\right)}}"," ",0,"1/12*(840*x^7 + 8820*x^6 + 38920*x^5 + 93450*x^4 + 131768*x^3 + 109116*x^2 - 840*(x^8 + 12*x^7 + 62*x^6 + 180*x^5 + 321*x^4 + 360*x^3 + 248*x^2 + 96*x + 16)*log(x + 2) + 840*(x^8 + 12*x^7 + 62*x^6 + 180*x^5 + 321*x^4 + 360*x^3 + 248*x^2 + 96*x + 16)*log(x + 1) + 49176*x + 9315)/(x^8 + 12*x^7 + 62*x^6 + 180*x^5 + 321*x^4 + 360*x^3 + 248*x^2 + 96*x + 16)","B",0
203,1,116,0,0.917858," ","integrate(1/x^3/(2*x^2-6*x+7)^2,x, algorithm=""fricas"")","-\frac{9660 \, x^{3} - 468 \, \sqrt{5} {\left(2 \, x^{4} - 6 \, x^{3} + 7 \, x^{2}\right)} \arctan\left(\frac{1}{5} \, \sqrt{5} {\left(2 \, x - 3\right)}\right) - 28490 \, x^{2} + 2000 \, {\left(2 \, x^{4} - 6 \, x^{3} + 7 \, x^{2}\right)} \log\left(2 \, x^{2} - 6 \, x + 7\right) - 4000 \, {\left(2 \, x^{4} - 6 \, x^{3} + 7 \, x^{2}\right)} \log\left(x\right) + 22050 \, x + 8575}{120050 \, {\left(2 \, x^{4} - 6 \, x^{3} + 7 \, x^{2}\right)}}"," ",0,"-1/120050*(9660*x^3 - 468*sqrt(5)*(2*x^4 - 6*x^3 + 7*x^2)*arctan(1/5*sqrt(5)*(2*x - 3)) - 28490*x^2 + 2000*(2*x^4 - 6*x^3 + 7*x^2)*log(2*x^2 - 6*x + 7) - 4000*(2*x^4 - 6*x^3 + 7*x^2)*log(x) + 22050*x + 8575)/(2*x^4 - 6*x^3 + 7*x^2)","A",0
204,1,165,0,1.225936," ","integrate(x^9/(x^2+3*x+2)^5,x, algorithm=""fricas"")","-\frac{17496 \, x^{7} + 184200 \, x^{6} + 813888 \, x^{5} + 1955853 \, x^{4} + 2759400 \, x^{3} + 2286008 \, x^{2} - 17664 \, {\left(x^{8} + 12 \, x^{7} + 62 \, x^{6} + 180 \, x^{5} + 321 \, x^{4} + 360 \, x^{3} + 248 \, x^{2} + 96 \, x + 16\right)} \log\left(x + 2\right) + 17652 \, {\left(x^{8} + 12 \, x^{7} + 62 \, x^{6} + 180 \, x^{5} + 321 \, x^{4} + 360 \, x^{3} + 248 \, x^{2} + 96 \, x + 16\right)} \log\left(x + 1\right) + 1030560 \, x + 195280}{12 \, {\left(x^{8} + 12 \, x^{7} + 62 \, x^{6} + 180 \, x^{5} + 321 \, x^{4} + 360 \, x^{3} + 248 \, x^{2} + 96 \, x + 16\right)}}"," ",0,"-1/12*(17496*x^7 + 184200*x^6 + 813888*x^5 + 1955853*x^4 + 2759400*x^3 + 2286008*x^2 - 17664*(x^8 + 12*x^7 + 62*x^6 + 180*x^5 + 321*x^4 + 360*x^3 + 248*x^2 + 96*x + 16)*log(x + 2) + 17652*(x^8 + 12*x^7 + 62*x^6 + 180*x^5 + 321*x^4 + 360*x^3 + 248*x^2 + 96*x + 16)*log(x + 1) + 1030560*x + 195280)/(x^8 + 12*x^7 + 62*x^6 + 180*x^5 + 321*x^4 + 360*x^3 + 248*x^2 + 96*x + 16)","A",0
205,1,173,0,0.885194," ","integrate((1+2*x)^2/(2*x^2+5*x+3)^5,x, algorithm=""fricas"")","\frac{238080 \, x^{7} + 2083200 \, x^{6} + 7757440 \, x^{5} + 15934000 \, x^{4} + 19495776 \, x^{3} + 14209160 \, x^{2} - 29760 \, {\left(16 \, x^{8} + 160 \, x^{7} + 696 \, x^{6} + 1720 \, x^{5} + 2641 \, x^{4} + 2580 \, x^{3} + 1566 \, x^{2} + 540 \, x + 81\right)} \log\left(2 \, x + 3\right) + 29760 \, {\left(16 \, x^{8} + 160 \, x^{7} + 696 \, x^{6} + 1720 \, x^{5} + 2641 \, x^{4} + 2580 \, x^{3} + 1566 \, x^{2} + 540 \, x + 81\right)} \log\left(x + 1\right) + 5712464 \, x + 977397}{12 \, {\left(16 \, x^{8} + 160 \, x^{7} + 696 \, x^{6} + 1720 \, x^{5} + 2641 \, x^{4} + 2580 \, x^{3} + 1566 \, x^{2} + 540 \, x + 81\right)}}"," ",0,"1/12*(238080*x^7 + 2083200*x^6 + 7757440*x^5 + 15934000*x^4 + 19495776*x^3 + 14209160*x^2 - 29760*(16*x^8 + 160*x^7 + 696*x^6 + 1720*x^5 + 2641*x^4 + 2580*x^3 + 1566*x^2 + 540*x + 81)*log(2*x + 3) + 29760*(16*x^8 + 160*x^7 + 696*x^6 + 1720*x^5 + 2641*x^4 + 2580*x^3 + 1566*x^2 + 540*x + 81)*log(x + 1) + 5712464*x + 977397)/(16*x^8 + 160*x^7 + 696*x^6 + 1720*x^5 + 2641*x^4 + 2580*x^3 + 1566*x^2 + 540*x + 81)","A",0
206,1,39,0,1.224743," ","integrate((-b*x^2+a)^3/x^7,x, algorithm=""fricas"")","-\frac{12 \, b^{3} x^{6} \log\left(x\right) + 18 \, a b^{2} x^{4} - 9 \, a^{2} b x^{2} + 2 \, a^{3}}{12 \, x^{6}}"," ",0,"-1/12*(12*b^3*x^6*log(x) + 18*a*b^2*x^4 - 9*a^2*b*x^2 + 2*a^3)/x^6","A",0
207,1,113,0,0.768350," ","integrate(x^13/(a^4+x^4)^5,x, algorithm=""fricas"")","-\frac{15 \, a^{14} x^{2} + 55 \, a^{10} x^{6} + 73 \, a^{6} x^{10} - 15 \, a^{2} x^{14} - 15 \, {\left(a^{16} + 4 \, a^{12} x^{4} + 6 \, a^{8} x^{8} + 4 \, a^{4} x^{12} + x^{16}\right)} \arctan\left(\frac{x^{2}}{a^{2}}\right)}{768 \, {\left(a^{22} + 4 \, a^{18} x^{4} + 6 \, a^{14} x^{8} + 4 \, a^{10} x^{12} + a^{6} x^{16}\right)}}"," ",0,"-1/768*(15*a^14*x^2 + 55*a^10*x^6 + 73*a^6*x^10 - 15*a^2*x^14 - 15*(a^16 + 4*a^12*x^4 + 6*a^8*x^8 + 4*a^4*x^12 + x^16)*arctan(x^2/a^2))/(a^22 + 4*a^18*x^4 + 6*a^14*x^8 + 4*a^10*x^12 + a^6*x^16)","A",0
208,1,37,0,1.627773," ","integrate(x^(3/2)*(x^2+1)*(-x+2*x^(1/2))^2,x, algorithm=""fricas"")","-\frac{2}{3} \, x^{6} - x^{4} + \frac{2}{9009} \, {\left(693 \, x^{6} + 3276 \, x^{5} + 1001 \, x^{4} + 5148 \, x^{3}\right)} \sqrt{x}"," ",0,"-2/3*x^6 - x^4 + 2/9009*(693*x^6 + 3276*x^5 + 1001*x^4 + 5148*x^3)*sqrt(x)","A",0
209,1,31,0,1.183572," ","integrate((-3*x^(3/5)+x^(3/2))^2*(-1/3*x^(2/3)+4*x^(3/2)),x, algorithm=""fricas"")","\frac{8}{11} \, x^{\frac{11}{2}} - \frac{1}{14} \, x^{\frac{14}{3}} - \frac{120}{23} \, x^{\frac{23}{5}} + \frac{60}{113} \, x^{\frac{113}{30}} + \frac{360}{37} \, x^{\frac{37}{10}} - \frac{45}{43} \, x^{\frac{43}{15}}"," ",0,"8/11*x^(11/2) - 1/14*x^(14/3) - 120/23*x^(23/5) + 60/113*x^(113/30) + 360/37*x^(37/10) - 45/43*x^(43/15)","A",0
210,1,18,0,1.106932," ","integrate(1/(1+(1+x)^(1/2)),x, algorithm=""fricas"")","2 \, \sqrt{x + 1} - 2 \, \log\left(\sqrt{x + 1} + 1\right)"," ",0,"2*sqrt(x + 1) - 2*log(sqrt(x + 1) + 1)","A",0
211,1,11,0,1.035274," ","integrate(x/(1+(1+x)^(1/2)),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(x + 1\right)}^{\frac{3}{2}} - x"," ",0,"2/3*(x + 1)^(3/2) - x","A",0
212,1,19,0,0.911075," ","integrate((1+(1+x)^(1/2))/(-1+(1+x)^(1/2)),x, algorithm=""fricas"")","x + 4 \, \sqrt{x + 1} + 4 \, \log\left(\sqrt{x + 1} - 1\right)"," ",0,"x + 4*sqrt(x + 1) + 4*log(sqrt(x + 1) - 1)","A",0
213,1,25,0,0.717142," ","integrate(1/((1+x)^(2/3)-(1+x)^(1/2)),x, algorithm=""fricas"")","3 \, {\left(x + 1\right)}^{\frac{1}{3}} + 6 \, {\left(x + 1\right)}^{\frac{1}{6}} + 6 \, \log\left({\left(x + 1\right)}^{\frac{1}{6}} - 1\right)"," ",0,"3*(x + 1)^(1/3) + 6*(x + 1)^(1/6) + 6*log((x + 1)^(1/6) - 1)","A",0
214,1,19,0,1.120350," ","integrate((1+x^(1/4))^(1/3)/x^(1/2),x, algorithm=""fricas"")","\frac{3}{7} \, {\left(4 \, \sqrt{x} + x^{\frac{1}{4}} - 3\right)} {\left(x^{\frac{1}{4}} + 1\right)}^{\frac{1}{3}}"," ",0,"3/7*(4*sqrt(x) + x^(1/4) - 3)*(x^(1/4) + 1)^(1/3)","A",0
215,1,63,0,1.099867," ","integrate(1/x^3/(1+x)^(3/2),x, algorithm=""fricas"")","-\frac{15 \, {\left(x^{3} + x^{2}\right)} \log\left(\sqrt{x + 1} + 1\right) - 15 \, {\left(x^{3} + x^{2}\right)} \log\left(\sqrt{x + 1} - 1\right) - 2 \, {\left(15 \, x^{2} + 5 \, x - 2\right)} \sqrt{x + 1}}{8 \, {\left(x^{3} + x^{2}\right)}}"," ",0,"-1/8*(15*(x^3 + x^2)*log(sqrt(x + 1) + 1) - 15*(x^3 + x^2)*log(sqrt(x + 1) - 1) - 2*(15*x^2 + 5*x - 2)*sqrt(x + 1))/(x^3 + x^2)","A",0
216,1,125,0,0.975680," ","integrate(1/(1-x)^(7/2)/x^5,x, algorithm=""fricas"")","-\frac{45045 \, {\left(x^{7} - 3 \, x^{6} + 3 \, x^{5} - x^{4}\right)} \log\left(\sqrt{-x + 1} + 1\right) - 45045 \, {\left(x^{7} - 3 \, x^{6} + 3 \, x^{5} - x^{4}\right)} \log\left(\sqrt{-x + 1} - 1\right) + 2 \, {\left(45045 \, x^{6} - 105105 \, x^{5} + 69069 \, x^{4} - 6435 \, x^{3} - 1430 \, x^{2} - 520 \, x - 240\right)} \sqrt{-x + 1}}{1920 \, {\left(x^{7} - 3 \, x^{6} + 3 \, x^{5} - x^{4}\right)}}"," ",0,"-1/1920*(45045*(x^7 - 3*x^6 + 3*x^5 - x^4)*log(sqrt(-x + 1) + 1) - 45045*(x^7 - 3*x^6 + 3*x^5 - x^4)*log(sqrt(-x + 1) - 1) + 2*(45045*x^6 - 105105*x^5 + 69069*x^4 - 6435*x^3 - 1430*x^2 - 520*x - 240)*sqrt(-x + 1))/(x^7 - 3*x^6 + 3*x^5 - x^4)","A",0
217,1,86,0,1.187743," ","integrate(1/(-1+x)^(2/3)/x^5,x, algorithm=""fricas"")","\frac{440 \, \sqrt{3} x^{4} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) - 220 \, x^{4} \log\left({\left(x - 1\right)}^{\frac{2}{3}} - {\left(x - 1\right)}^{\frac{1}{3}} + 1\right) + 440 \, x^{4} \log\left({\left(x - 1\right)}^{\frac{1}{3}} + 1\right) + 3 \, {\left(220 \, x^{3} + 132 \, x^{2} + 99 \, x + 81\right)} {\left(x - 1\right)}^{\frac{1}{3}}}{972 \, x^{4}}"," ",0,"1/972*(440*sqrt(3)*x^4*arctan(2/3*sqrt(3)*(x - 1)^(1/3) - 1/3*sqrt(3)) - 220*x^4*log((x - 1)^(2/3) - (x - 1)^(1/3) + 1) + 440*x^4*log((x - 1)^(1/3) + 1) + 3*(220*x^3 + 132*x^2 + 99*x + 81)*(x - 1)^(1/3))/x^4","A",0
218,1,32,0,0.922700," ","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
219,1,73,0,1.028255," ","integrate(x*((-a+x)/(b-x))^(1/2),x, algorithm=""fricas"")","-\frac{1}{4} \, {\left(a^{2} + 2 \, a b - 3 \, b^{2}\right)} \arctan\left(\sqrt{-\frac{a - x}{b - x}}\right) + \frac{1}{4} \, {\left(a b - 3 \, b^{2} - {\left(a - b\right)} x + 2 \, x^{2}\right)} \sqrt{-\frac{a - x}{b - x}}"," ",0,"-1/4*(a^2 + 2*a*b - 3*b^2)*arctan(sqrt(-(a - x)/(b - x))) + 1/4*(a*b - 3*b^2 - (a - b)*x + 2*x^2)*sqrt(-(a - x)/(b - x))","A",0
220,1,65,0,0.896820," ","integrate((-5+x)^(1/2)*(3+x)^(1/2)/(-1+x)/(x^2-25),x, algorithm=""fricas"")","\frac{1}{30} \, \sqrt{5} \log\left(\frac{\sqrt{x + 3} \sqrt{x - 5} {\left(3 \, \sqrt{5} + 5\right)} + \sqrt{5} {\left(3 \, x + 5\right)} + 9 \, x + 15}{x + 5}\right) + \frac{1}{3} \, \arctan\left(\frac{1}{4} \, \sqrt{x + 3} \sqrt{x - 5} - \frac{1}{4} \, x + \frac{1}{4}\right)"," ",0,"1/30*sqrt(5)*log((sqrt(x + 3)*sqrt(x - 5)*(3*sqrt(5) + 5) + sqrt(5)*(3*x + 5) + 9*x + 15)/(x + 5)) + 1/3*arctan(1/4*sqrt(x + 3)*sqrt(x - 5) - 1/4*x + 1/4)","A",0
221,1,577,0,1.288059," ","integrate(x^2*(-x^2+1)^(1/4)*(1+x)^(1/2)/(1-x)^(1/2)/((1-x)^(1/2)-(1+x)^(1/2)),x, algorithm=""fricas"")","-\frac{1}{48} \, {\left(8 \, x^{2} + 2 \, x - 7\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} \sqrt{x + 1} + \frac{1}{48} \, {\left(8 \, x^{2} + 22 \, x + 29\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} \sqrt{-x + 1} - \frac{1}{16} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(x + 1\right)} \sqrt{\frac{\sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} \sqrt{x + 1} + x + \sqrt{-x^{2} + 1} + 1}{x + 1}} - \sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} \sqrt{x + 1} - x - 1}{x + 1}\right) - \frac{1}{16} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(x + 1\right)} \sqrt{-\frac{\sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} \sqrt{x + 1} - x - \sqrt{-x^{2} + 1} - 1}{x + 1}} - \sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} \sqrt{x + 1} + x + 1}{x + 1}\right) - \frac{5}{16} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(x - 1\right)} \sqrt{\frac{\sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} \sqrt{-x + 1} + x - \sqrt{-x^{2} + 1} - 1}{x - 1}} - \sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} \sqrt{-x + 1} - x + 1}{x - 1}\right) - \frac{5}{16} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(x - 1\right)} \sqrt{-\frac{\sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} \sqrt{-x + 1} - x + \sqrt{-x^{2} + 1} + 1}{x - 1}} - \sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} \sqrt{-x + 1} + x - 1}{x - 1}\right) + \frac{1}{64} \, \sqrt{2} \log\left(\frac{4 \, {\left(\sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} \sqrt{x + 1} + x + \sqrt{-x^{2} + 1} + 1\right)}}{x + 1}\right) - \frac{1}{64} \, \sqrt{2} \log\left(-\frac{4 \, {\left(\sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} \sqrt{x + 1} - x - \sqrt{-x^{2} + 1} - 1\right)}}{x + 1}\right) + \frac{5}{64} \, \sqrt{2} \log\left(\frac{4 \, {\left(\sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} \sqrt{-x + 1} + x - \sqrt{-x^{2} + 1} - 1\right)}}{x - 1}\right) - \frac{5}{64} \, \sqrt{2} \log\left(-\frac{4 \, {\left(\sqrt{2} {\left(-x^{2} + 1\right)}^{\frac{1}{4}} \sqrt{-x + 1} - x + \sqrt{-x^{2} + 1} + 1\right)}}{x - 1}\right)"," ",0,"-1/48*(8*x^2 + 2*x - 7)*(-x^2 + 1)^(1/4)*sqrt(x + 1) + 1/48*(8*x^2 + 22*x + 29)*(-x^2 + 1)^(1/4)*sqrt(-x + 1) - 1/16*sqrt(2)*arctan((sqrt(2)*(x + 1)*sqrt((sqrt(2)*(-x^2 + 1)^(1/4)*sqrt(x + 1) + x + sqrt(-x^2 + 1) + 1)/(x + 1)) - sqrt(2)*(-x^2 + 1)^(1/4)*sqrt(x + 1) - x - 1)/(x + 1)) - 1/16*sqrt(2)*arctan((sqrt(2)*(x + 1)*sqrt(-(sqrt(2)*(-x^2 + 1)^(1/4)*sqrt(x + 1) - x - sqrt(-x^2 + 1) - 1)/(x + 1)) - sqrt(2)*(-x^2 + 1)^(1/4)*sqrt(x + 1) + x + 1)/(x + 1)) - 5/16*sqrt(2)*arctan((sqrt(2)*(x - 1)*sqrt((sqrt(2)*(-x^2 + 1)^(1/4)*sqrt(-x + 1) + x - sqrt(-x^2 + 1) - 1)/(x - 1)) - sqrt(2)*(-x^2 + 1)^(1/4)*sqrt(-x + 1) - x + 1)/(x - 1)) - 5/16*sqrt(2)*arctan((sqrt(2)*(x - 1)*sqrt(-(sqrt(2)*(-x^2 + 1)^(1/4)*sqrt(-x + 1) - x + sqrt(-x^2 + 1) + 1)/(x - 1)) - sqrt(2)*(-x^2 + 1)^(1/4)*sqrt(-x + 1) + x - 1)/(x - 1)) + 1/64*sqrt(2)*log(4*(sqrt(2)*(-x^2 + 1)^(1/4)*sqrt(x + 1) + x + sqrt(-x^2 + 1) + 1)/(x + 1)) - 1/64*sqrt(2)*log(-4*(sqrt(2)*(-x^2 + 1)^(1/4)*sqrt(x + 1) - x - sqrt(-x^2 + 1) - 1)/(x + 1)) + 5/64*sqrt(2)*log(4*(sqrt(2)*(-x^2 + 1)^(1/4)*sqrt(-x + 1) + x - sqrt(-x^2 + 1) - 1)/(x - 1)) - 5/64*sqrt(2)*log(-4*(sqrt(2)*(-x^2 + 1)^(1/4)*sqrt(-x + 1) - x + sqrt(-x^2 + 1) + 1)/(x - 1))","B",0
222,1,865,0,1.275750," ","integrate(x*(1+x)^(2/3)*(1-x)^(1/2)/(-(1-x)^(5/6)*(1+x)^(1/3)+(1-x)^(2/3)*(1+x)^(1/2)),x, algorithm=""fricas"")","\frac{1}{4} \, x^{2} + \frac{1}{12} \, {\left(3 \, x + 2\right)} {\left(x + 1\right)}^{\frac{5}{6}} {\left(-x + 1\right)}^{\frac{1}{6}} + \frac{1}{12} \, {\left(3 \, x + 1\right)} {\left(x + 1\right)}^{\frac{2}{3}} {\left(-x + 1\right)}^{\frac{1}{3}} + \frac{1}{4} \, \sqrt{x + 1} x \sqrt{-x + 1} + \frac{1}{12} \, {\left(3 \, x - 1\right)} {\left(x + 1\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{2}{3}} - \frac{1}{12} \, {\left(3 \, x + 10\right)} {\left(x + 1\right)}^{\frac{1}{6}} {\left(-x + 1\right)}^{\frac{5}{6}} - \frac{2}{9} \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(x + 1\right)} - 2 \, \sqrt{3} {\left(x + 1\right)}^{\frac{2}{3}} {\left(-x + 1\right)}^{\frac{1}{3}}}{3 \, {\left(x + 1\right)}}\right) - \frac{2}{9} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(x - 1\right)} + 2 \, \sqrt{3} {\left(x + 1\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{2}{3}}}{3 \, {\left(x - 1\right)}}\right) - \frac{5}{72} \, \sqrt{3} \log\left(\frac{100 \, {\left(\sqrt{3} {\left(x + 1\right)}^{\frac{5}{6}} {\left(-x + 1\right)}^{\frac{1}{6}} + x + {\left(x + 1\right)}^{\frac{2}{3}} {\left(-x + 1\right)}^{\frac{1}{3}} + 1\right)}}{x + 1}\right) + \frac{5}{72} \, \sqrt{3} \log\left(-\frac{100 \, {\left(\sqrt{3} {\left(x + 1\right)}^{\frac{5}{6}} {\left(-x + 1\right)}^{\frac{1}{6}} - x - {\left(x + 1\right)}^{\frac{2}{3}} {\left(-x + 1\right)}^{\frac{1}{3}} - 1\right)}}{x + 1}\right) - \frac{7}{72} \, \sqrt{3} \log\left(\frac{196 \, {\left(\sqrt{3} {\left(x + 1\right)}^{\frac{1}{6}} {\left(-x + 1\right)}^{\frac{5}{6}} + x - {\left(x + 1\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{2}{3}} - 1\right)}}{x - 1}\right) + \frac{7}{72} \, \sqrt{3} \log\left(-\frac{196 \, {\left(\sqrt{3} {\left(x + 1\right)}^{\frac{1}{6}} {\left(-x + 1\right)}^{\frac{5}{6}} - x + {\left(x + 1\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{2}{3}} + 1\right)}}{x - 1}\right) + \frac{1}{2} \, x + \frac{5}{18} \, \arctan\left(-\frac{\sqrt{3} {\left(x + 1\right)} - 2 \, {\left(x + 1\right)} \sqrt{\frac{\sqrt{3} {\left(x + 1\right)}^{\frac{5}{6}} {\left(-x + 1\right)}^{\frac{1}{6}} + x + {\left(x + 1\right)}^{\frac{2}{3}} {\left(-x + 1\right)}^{\frac{1}{3}} + 1}{x + 1}} + 2 \, {\left(x + 1\right)}^{\frac{5}{6}} {\left(-x + 1\right)}^{\frac{1}{6}}}{x + 1}\right) + \frac{5}{18} \, \arctan\left(\frac{\sqrt{3} {\left(x + 1\right)} + 2 \, {\left(x + 1\right)} \sqrt{-\frac{\sqrt{3} {\left(x + 1\right)}^{\frac{5}{6}} {\left(-x + 1\right)}^{\frac{1}{6}} - x - {\left(x + 1\right)}^{\frac{2}{3}} {\left(-x + 1\right)}^{\frac{1}{3}} - 1}{x + 1}} - 2 \, {\left(x + 1\right)}^{\frac{5}{6}} {\left(-x + 1\right)}^{\frac{1}{6}}}{x + 1}\right) + \frac{7}{18} \, \arctan\left(-\frac{\sqrt{3} {\left(x - 1\right)} - 2 \, {\left(x - 1\right)} \sqrt{\frac{\sqrt{3} {\left(x + 1\right)}^{\frac{1}{6}} {\left(-x + 1\right)}^{\frac{5}{6}} + x - {\left(x + 1\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{2}{3}} - 1}{x - 1}} + 2 \, {\left(x + 1\right)}^{\frac{1}{6}} {\left(-x + 1\right)}^{\frac{5}{6}}}{x - 1}\right) + \frac{7}{18} \, \arctan\left(\frac{\sqrt{3} {\left(x - 1\right)} + 2 \, {\left(x - 1\right)} \sqrt{-\frac{\sqrt{3} {\left(x + 1\right)}^{\frac{1}{6}} {\left(-x + 1\right)}^{\frac{5}{6}} - x + {\left(x + 1\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{2}{3}} + 1}{x - 1}} - 2 \, {\left(x + 1\right)}^{\frac{1}{6}} {\left(-x + 1\right)}^{\frac{5}{6}}}{x - 1}\right) - \frac{5}{18} \, \arctan\left(\frac{{\left(-x + 1\right)}^{\frac{1}{6}}}{{\left(x + 1\right)}^{\frac{1}{6}}}\right) - \frac{7}{18} \, \arctan\left(\frac{{\left(x + 1\right)}^{\frac{1}{6}} {\left(-x + 1\right)}^{\frac{5}{6}}}{x - 1}\right) - \frac{1}{2} \, \arctan\left(\frac{\sqrt{x + 1} \sqrt{-x + 1} - 1}{x}\right) - \frac{2}{9} \, \log\left(\frac{x + {\left(x + 1\right)}^{\frac{2}{3}} {\left(-x + 1\right)}^{\frac{1}{3}} + 1}{x + 1}\right) + \frac{1}{9} \, \log\left(\frac{x - {\left(x + 1\right)}^{\frac{2}{3}} {\left(-x + 1\right)}^{\frac{1}{3}} + {\left(x + 1\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{2}{3}} + 1}{x + 1}\right) - \frac{1}{9} \, \log\left(\frac{x - {\left(x + 1\right)}^{\frac{2}{3}} {\left(-x + 1\right)}^{\frac{1}{3}} + {\left(x + 1\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{2}{3}} - 1}{x - 1}\right) + \frac{2}{9} \, \log\left(-\frac{x - {\left(x + 1\right)}^{\frac{1}{3}} {\left(-x + 1\right)}^{\frac{2}{3}} - 1}{x - 1}\right)"," ",0,"1/4*x^2 + 1/12*(3*x + 2)*(x + 1)^(5/6)*(-x + 1)^(1/6) + 1/12*(3*x + 1)*(x + 1)^(2/3)*(-x + 1)^(1/3) + 1/4*sqrt(x + 1)*x*sqrt(-x + 1) + 1/12*(3*x - 1)*(x + 1)^(1/3)*(-x + 1)^(2/3) - 1/12*(3*x + 10)*(x + 1)^(1/6)*(-x + 1)^(5/6) - 2/9*sqrt(3)*arctan(-1/3*(sqrt(3)*(x + 1) - 2*sqrt(3)*(x + 1)^(2/3)*(-x + 1)^(1/3))/(x + 1)) - 2/9*sqrt(3)*arctan(1/3*(sqrt(3)*(x - 1) + 2*sqrt(3)*(x + 1)^(1/3)*(-x + 1)^(2/3))/(x - 1)) - 5/72*sqrt(3)*log(100*(sqrt(3)*(x + 1)^(5/6)*(-x + 1)^(1/6) + x + (x + 1)^(2/3)*(-x + 1)^(1/3) + 1)/(x + 1)) + 5/72*sqrt(3)*log(-100*(sqrt(3)*(x + 1)^(5/6)*(-x + 1)^(1/6) - x - (x + 1)^(2/3)*(-x + 1)^(1/3) - 1)/(x + 1)) - 7/72*sqrt(3)*log(196*(sqrt(3)*(x + 1)^(1/6)*(-x + 1)^(5/6) + x - (x + 1)^(1/3)*(-x + 1)^(2/3) - 1)/(x - 1)) + 7/72*sqrt(3)*log(-196*(sqrt(3)*(x + 1)^(1/6)*(-x + 1)^(5/6) - x + (x + 1)^(1/3)*(-x + 1)^(2/3) + 1)/(x - 1)) + 1/2*x + 5/18*arctan(-(sqrt(3)*(x + 1) - 2*(x + 1)*sqrt((sqrt(3)*(x + 1)^(5/6)*(-x + 1)^(1/6) + x + (x + 1)^(2/3)*(-x + 1)^(1/3) + 1)/(x + 1)) + 2*(x + 1)^(5/6)*(-x + 1)^(1/6))/(x + 1)) + 5/18*arctan((sqrt(3)*(x + 1) + 2*(x + 1)*sqrt(-(sqrt(3)*(x + 1)^(5/6)*(-x + 1)^(1/6) - x - (x + 1)^(2/3)*(-x + 1)^(1/3) - 1)/(x + 1)) - 2*(x + 1)^(5/6)*(-x + 1)^(1/6))/(x + 1)) + 7/18*arctan(-(sqrt(3)*(x - 1) - 2*(x - 1)*sqrt((sqrt(3)*(x + 1)^(1/6)*(-x + 1)^(5/6) + x - (x + 1)^(1/3)*(-x + 1)^(2/3) - 1)/(x - 1)) + 2*(x + 1)^(1/6)*(-x + 1)^(5/6))/(x - 1)) + 7/18*arctan((sqrt(3)*(x - 1) + 2*(x - 1)*sqrt(-(sqrt(3)*(x + 1)^(1/6)*(-x + 1)^(5/6) - x + (x + 1)^(1/3)*(-x + 1)^(2/3) + 1)/(x - 1)) - 2*(x + 1)^(1/6)*(-x + 1)^(5/6))/(x - 1)) - 5/18*arctan((-x + 1)^(1/6)/(x + 1)^(1/6)) - 7/18*arctan((x + 1)^(1/6)*(-x + 1)^(5/6)/(x - 1)) - 1/2*arctan((sqrt(x + 1)*sqrt(-x + 1) - 1)/x) - 2/9*log((x + (x + 1)^(2/3)*(-x + 1)^(1/3) + 1)/(x + 1)) + 1/9*log((x - (x + 1)^(2/3)*(-x + 1)^(1/3) + (x + 1)^(1/3)*(-x + 1)^(2/3) + 1)/(x + 1)) - 1/9*log((x - (x + 1)^(2/3)*(-x + 1)^(1/3) + (x + 1)^(1/3)*(-x + 1)^(2/3) - 1)/(x - 1)) + 2/9*log(-(x - (x + 1)^(1/3)*(-x + 1)^(2/3) - 1)/(x - 1))","B",0
223,1,47,0,0.944087," ","integrate(1/((-1+x)^4*(1+x)^2)^(1/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{6} - 2 \, x^{5} - x^{4} + 4 \, x^{3} - x^{2} - 2 \, x + 1\right)}^{\frac{2}{3}}}{2 \, {\left(x^{4} - 2 \, x^{3} + 2 \, x - 1\right)}}"," ",0,"-3/2*(x^6 - 2*x^5 - x^4 + 4*x^3 - x^2 - 2*x + 1)^(2/3)/(x^4 - 2*x^3 + 2*x - 1)","B",0
224,1,69,0,0.904320," ","integrate(1/((-1+x)^3*(2+x)^5)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(x^{8} + 7 \, x^{7} + 13 \, x^{6} - 11 \, x^{5} - 50 \, x^{4} - 8 \, x^{3} + 64 \, x^{2} + 16 \, x - 32\right)}^{\frac{3}{4}}}{3 \, {\left(x^{6} + 6 \, x^{5} + 9 \, x^{4} - 8 \, x^{3} - 24 \, x^{2} + 16\right)}}"," ",0,"4/3*(x^8 + 7*x^7 + 13*x^6 - 11*x^5 - 50*x^4 - 8*x^3 + 64*x^2 + 16*x - 32)^(3/4)/(x^6 + 6*x^5 + 9*x^4 - 8*x^3 - 24*x^2 + 16)","B",0
225,1,77,0,0.908478," ","integrate(1/((-1+x)^7*(1+x)^2)^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(x^{9} - 5 \, x^{8} + 8 \, x^{7} - 14 \, x^{5} + 14 \, x^{4} - 8 \, x^{2} + 5 \, x - 1\right)}^{\frac{2}{3}} {\left(3 \, x - 5\right)}}{16 \, {\left(x^{7} - 5 \, x^{6} + 9 \, x^{5} - 5 \, x^{4} - 5 \, x^{3} + 9 \, x^{2} - 5 \, x + 1\right)}}"," ",0,"3/16*(x^9 - 5*x^8 + 8*x^7 - 14*x^5 + 14*x^4 - 8*x^2 + 5*x - 1)^(2/3)*(3*x - 5)/(x^7 - 5*x^6 + 9*x^5 - 5*x^4 - 5*x^3 + 9*x^2 - 5*x + 1)","A",0
226,1,128,0,0.900125," ","integrate(1/((-1+x)^2*(1+x))^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(x - 1\right)} + 2 \, \sqrt{3} {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{1}{3}}}{3 \, {\left(x - 1\right)}}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} - 2 \, x + {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{2}{3}} + 1}{x^{2} - 2 \, x + 1}\right) - \log\left(-\frac{x - {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{1}{3}} - 1}{x - 1}\right)"," ",0,"-sqrt(3)*arctan(1/3*(sqrt(3)*(x - 1) + 2*sqrt(3)*(x^3 - x^2 - x + 1)^(1/3))/(x - 1)) + 1/2*log((x^2 + (x^3 - x^2 - x + 1)^(1/3)*(x - 1) - 2*x + (x^3 - x^2 - x + 1)^(2/3) + 1)/(x^2 - 2*x + 1)) - log(-(x - (x^3 - x^2 - x + 1)^(1/3) - 1)/(x - 1))","B",0
227,1,142,0,0.786650," ","integrate((1/x+x)/((-2+x)*(1+x)^3)^(1/2),x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} {\left(x^{2} + 2 \, x + 1\right)} \arctan\left(-\frac{\sqrt{2} {\left(x^{2} + x\right)} - \sqrt{2} \sqrt{x^{4} + x^{3} - 3 \, x^{2} - 5 \, x - 2}}{2 \, {\left(x + 1\right)}}\right) - 4 \, x^{2} - 3 \, {\left(x^{2} + 2 \, x + 1\right)} \log\left(-\frac{2 \, x^{2} + x - 2 \, \sqrt{x^{4} + x^{3} - 3 \, x^{2} - 5 \, x - 2} - 1}{x + 1}\right) - 8 \, x - 4 \, \sqrt{x^{4} + x^{3} - 3 \, x^{2} - 5 \, x - 2} - 4}{3 \, {\left(x^{2} + 2 \, x + 1\right)}}"," ",0,"1/3*(3*sqrt(2)*(x^2 + 2*x + 1)*arctan(-1/2*(sqrt(2)*(x^2 + x) - sqrt(2)*sqrt(x^4 + x^3 - 3*x^2 - 5*x - 2))/(x + 1)) - 4*x^2 - 3*(x^2 + 2*x + 1)*log(-(2*x^2 + x - 2*sqrt(x^4 + x^3 - 3*x^2 - 5*x - 2) - 1)/(x + 1)) - 8*x - 4*sqrt(x^4 + x^3 - 3*x^2 - 5*x - 2) - 4)/(x^2 + 2*x + 1)","A",0
228,1,280,0,0.876616," ","integrate(((-1+x)^2*(1+x))^(1/3)/x^2,x, algorithm=""fricas"")","\frac{6 \, \sqrt{3} x \arctan\left(\frac{\sqrt{3} {\left(x - 1\right)} + 2 \, \sqrt{3} {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{1}{3}}}{3 \, {\left(x - 1\right)}}\right) - 2 \, \sqrt{3} x \arctan\left(-\frac{\sqrt{3} {\left(x - 1\right)} - 2 \, \sqrt{3} {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{1}{3}}}{3 \, {\left(x - 1\right)}}\right) + 3 \, x \log\left(\frac{x^{2} + {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} - 2 \, x + {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{2}{3}} + 1}{x^{2} - 2 \, x + 1}\right) + x \log\left(\frac{x^{2} - {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} - 2 \, x + {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{2}{3}} + 1}{x^{2} - 2 \, x + 1}\right) - 2 \, x \log\left(\frac{x + {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{1}{3}} - 1}{x - 1}\right) - 6 \, x \log\left(-\frac{x - {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{1}{3}} - 1}{x - 1}\right) - 6 \, {\left(x^{3} - x^{2} - x + 1\right)}^{\frac{1}{3}}}{6 \, x}"," ",0,"1/6*(6*sqrt(3)*x*arctan(1/3*(sqrt(3)*(x - 1) + 2*sqrt(3)*(x^3 - x^2 - x + 1)^(1/3))/(x - 1)) - 2*sqrt(3)*x*arctan(-1/3*(sqrt(3)*(x - 1) - 2*sqrt(3)*(x^3 - x^2 - x + 1)^(1/3))/(x - 1)) + 3*x*log((x^2 + (x^3 - x^2 - x + 1)^(1/3)*(x - 1) - 2*x + (x^3 - x^2 - x + 1)^(2/3) + 1)/(x^2 - 2*x + 1)) + x*log((x^2 - (x^3 - x^2 - x + 1)^(1/3)*(x - 1) - 2*x + (x^3 - x^2 - x + 1)^(2/3) + 1)/(x^2 - 2*x + 1)) - 2*x*log((x + (x^3 - x^2 - x + 1)^(1/3) - 1)/(x - 1)) - 6*x*log(-(x - (x^3 - x^2 - x + 1)^(1/3) - 1)/(x - 1)) - 6*(x^3 - x^2 - x + 1)^(1/3))/x","B",0
229,1,64,0,1.071114," ","integrate(1/(x^2-2*x-3)^(5/2),x, algorithm=""fricas"")","\frac{x^{4} - 4 \, x^{3} - 2 \, x^{2} + {\left(x^{3} - 3 \, x^{2} - 3 \, x + 5\right)} \sqrt{x^{2} - 2 \, x - 3} + 12 \, x + 9}{24 \, {\left(x^{4} - 4 \, x^{3} - 2 \, x^{2} + 12 \, x + 9\right)}}"," ",0,"1/24*(x^4 - 4*x^3 - 2*x^2 + (x^3 - 3*x^2 - 3*x + 5)*sqrt(x^2 - 2*x - 3) + 12*x + 9)/(x^4 - 4*x^3 - 2*x^2 + 12*x + 9)","B",0
230,1,62,0,0.738877," ","integrate(1/(x^3-5*x^2+3*x+9)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(\frac{2 \, x + \sqrt{x^{3} - 5 \, x^{2} + 3 \, x + 9} - 6}{x - 3}\right) + \frac{1}{2} \, \log\left(-\frac{2 \, x - \sqrt{x^{3} - 5 \, x^{2} + 3 \, x + 9} - 6}{x - 3}\right)"," ",0,"-1/2*log((2*x + sqrt(x^3 - 5*x^2 + 3*x + 9) - 6)/(x - 3)) + 1/2*log(-(2*x - sqrt(x^3 - 5*x^2 + 3*x + 9) - 6)/(x - 3))","A",0
231,1,138,0,0.559715," ","integrate(1/(x^3-5*x^2+3*x+9)^(3/2),x, algorithm=""fricas"")","-\frac{15 \, {\left(x^{4} - 8 \, x^{3} + 18 \, x^{2} - 27\right)} \log\left(\frac{2 \, x + \sqrt{x^{3} - 5 \, x^{2} + 3 \, x + 9} - 6}{x - 3}\right) - 15 \, {\left(x^{4} - 8 \, x^{3} + 18 \, x^{2} - 27\right)} \log\left(-\frac{2 \, x - \sqrt{x^{3} - 5 \, x^{2} + 3 \, x + 9} - 6}{x - 3}\right) - 4 \, \sqrt{x^{3} - 5 \, x^{2} + 3 \, x + 9} {\left(15 \, x^{2} - 70 \, x + 43\right)}}{1024 \, {\left(x^{4} - 8 \, x^{3} + 18 \, x^{2} - 27\right)}}"," ",0,"-1/1024*(15*(x^4 - 8*x^3 + 18*x^2 - 27)*log((2*x + sqrt(x^3 - 5*x^2 + 3*x + 9) - 6)/(x - 3)) - 15*(x^4 - 8*x^3 + 18*x^2 - 27)*log(-(2*x - sqrt(x^3 - 5*x^2 + 3*x + 9) - 6)/(x - 3)) - 4*sqrt(x^3 - 5*x^2 + 3*x + 9)*(15*x^2 - 70*x + 43))/(x^4 - 8*x^3 + 18*x^2 - 27)","A",0
232,1,128,0,1.343541," ","integrate(1/(x^3-5*x^2+3*x+9)^(1/3),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(x - 3\right)} + 2 \, \sqrt{3} {\left(x^{3} - 5 \, x^{2} + 3 \, x + 9\right)}^{\frac{1}{3}}}{3 \, {\left(x - 3\right)}}\right) + \frac{1}{2} \, \log\left(\frac{x^{2} + {\left(x^{3} - 5 \, x^{2} + 3 \, x + 9\right)}^{\frac{1}{3}} {\left(x - 3\right)} - 6 \, x + {\left(x^{3} - 5 \, x^{2} + 3 \, x + 9\right)}^{\frac{2}{3}} + 9}{x^{2} - 6 \, x + 9}\right) - \log\left(-\frac{x - {\left(x^{3} - 5 \, x^{2} + 3 \, x + 9\right)}^{\frac{1}{3}} - 3}{x - 3}\right)"," ",0,"-sqrt(3)*arctan(1/3*(sqrt(3)*(x - 3) + 2*sqrt(3)*(x^3 - 5*x^2 + 3*x + 9)^(1/3))/(x - 3)) + 1/2*log((x^2 + (x^3 - 5*x^2 + 3*x + 9)^(1/3)*(x - 3) - 6*x + (x^3 - 5*x^2 + 3*x + 9)^(2/3) + 9)/(x^2 - 6*x + 9)) - log(-(x - (x^3 - 5*x^2 + 3*x + 9)^(1/3) - 3)/(x - 3))","A",0
233,1,22,0,0.880267," ","integrate(1/(x^3-5*x^2+3*x+9)^(2/3),x, algorithm=""fricas"")","-\frac{3 \, {\left(x^{3} - 5 \, x^{2} + 3 \, x + 9\right)}^{\frac{1}{3}}}{4 \, {\left(x - 3\right)}}"," ",0,"-3/4*(x^3 - 5*x^2 + 3*x + 9)^(1/3)/(x - 3)","A",0
234,1,44,0,0.674273," ","integrate(1/(x^3-5*x^2+3*x+9)^(4/3),x, algorithm=""fricas"")","\frac{3 \, {\left(x^{3} - 5 \, x^{2} + 3 \, x + 9\right)}^{\frac{2}{3}} {\left(9 \, x^{2} - 42 \, x + 29\right)}}{320 \, {\left(x^{4} - 8 \, x^{3} + 18 \, x^{2} - 27\right)}}"," ",0,"3/320*(x^3 - 5*x^2 + 3*x + 9)^(2/3)*(9*x^2 - 42*x + 29)/(x^4 - 8*x^3 + 18*x^2 - 27)","A",0
235,1,33,0,0.856650," ","integrate(1/(-2*x^2+3*x+4)^(1/2),x, algorithm=""fricas"")","-\sqrt{2} \arctan\left(\frac{\sqrt{2} \sqrt{-2 \, x^{2} + 3 \, x + 4} - 2 \, \sqrt{2}}{2 \, x}\right)"," ",0,"-sqrt(2)*arctan(1/2*(sqrt(2)*sqrt(-2*x^2 + 3*x + 4) - 2*sqrt(2))/x)","B",0
236,1,29,0,0.976965," ","integrate(1/(-x^2+4*x-3)^(1/2),x, algorithm=""fricas"")","-\arctan\left(\frac{\sqrt{-x^{2} + 4 \, x - 3} {\left(x - 2\right)}}{x^{2} - 4 \, x + 3}\right)"," ",0,"-arctan(sqrt(-x^2 + 4*x - 3)*(x - 2)/(x^2 - 4*x + 3))","B",0
237,1,40,0,0.631746," ","integrate(1/(-3*x^2-5*x-2)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} \sqrt{-3 \, x^{2} - 5 \, x - 2} {\left(6 \, x + 5\right)}}{6 \, {\left(3 \, x^{2} + 5 \, x + 2\right)}}\right)"," ",0,"-1/3*sqrt(3)*arctan(1/6*sqrt(3)*sqrt(-3*x^2 - 5*x - 2)*(6*x + 5)/(3*x^2 + 5*x + 2))","B",0
238,1,23,0,1.249299," ","integrate(1/(x^2+4)/(-x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{10} \, \sqrt{5} \arctan\left(\frac{2 \, \sqrt{5} \sqrt{-x^{2} + 1}}{5 \, x}\right)"," ",0,"-1/10*sqrt(5)*arctan(2/5*sqrt(5)*sqrt(-x^2 + 1)/x)","A",0
239,1,54,0,0.944692," ","integrate(1/(x^2+4)/(4*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{60} \, \sqrt{15} \log\left(\frac{961 \, x^{2} + 8 \, \sqrt{15} {\left(31 \, x^{2} + 4\right)} + 4 \, \sqrt{4 \, x^{2} + 1} {\left(31 \, \sqrt{15} x + 120 \, x\right)} + 124}{x^{2} + 4}\right)"," ",0,"1/60*sqrt(15)*log((961*x^2 + 8*sqrt(15)*(31*x^2 + 4) + 4*sqrt(4*x^2 + 1)*(31*sqrt(15)*x + 120*x) + 124)/(x^2 + 4))","B",0
240,1,48,0,0.922883," ","integrate(x/(-x^2+3)/(-x^2+5)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{2} \log\left(\frac{x^{4} - 4 \, \sqrt{2} {\left(x^{2} - 7\right)} \sqrt{-x^{2} + 5} - 22 \, x^{2} + 89}{x^{4} - 6 \, x^{2} + 9}\right)"," ",0,"1/8*sqrt(2)*log((x^4 - 4*sqrt(2)*(x^2 - 7)*sqrt(-x^2 + 5) - 22*x^2 + 89)/(x^4 - 6*x^2 + 9))","B",0
241,1,32,0,1.148530," ","integrate(x/(-x^2+5)/(-x^2+3)^(1/2),x, algorithm=""fricas"")","-\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(x^{2} - 1\right)} \sqrt{-x^{2} + 3}}{4 \, {\left(x^{2} - 3\right)}}\right)"," ",0,"-1/4*sqrt(2)*arctan(1/4*sqrt(2)*(x^2 - 1)*sqrt(-x^2 + 3)/(x^2 - 3))","A",0
242,1,72,0,0.991980," ","integrate(1/(x^4-1)/(x^2+2)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{3} \log\left(\frac{4 \, x^{2} - \sqrt{3} {\left(2 \, x^{2} + 1\right)} - \sqrt{x^{2} + 2} {\left(2 \, \sqrt{3} x - 3 \, x\right)} + 2}{x^{2} - 1}\right) - \frac{1}{2} \, \arctan\left(-x^{2} + \sqrt{x^{2} + 2} x - 1\right)"," ",0,"1/12*sqrt(3)*log((4*x^2 - sqrt(3)*(2*x^2 + 1) - sqrt(x^2 + 2)*(2*sqrt(3)*x - 3*x) + 2)/(x^2 - 1)) - 1/2*arctan(-x^2 + sqrt(x^2 + 2)*x - 1)","B",0
243,1,74,0,1.088296," ","integrate(x/(x^2-1)/(x^2+2*x+4)^(1/2),x, algorithm=""fricas"")","\frac{1}{14} \, \sqrt{7} \log\left(\frac{\sqrt{7} {\left(2 \, x + 5\right)} + \sqrt{x^{2} + 2 \, x + 4} {\left(2 \, \sqrt{7} - 7\right)} - 4 \, x - 10}{x - 1}\right) + \frac{1}{6} \, \sqrt{3} \log\left(-\frac{\sqrt{3} - \sqrt{x^{2} + 2 \, x + 4}}{x + 1}\right)"," ",0,"1/14*sqrt(7)*log((sqrt(7)*(2*x + 5) + sqrt(x^2 + 2*x + 4)*(2*sqrt(7) - 7) - 4*x - 10)/(x - 1)) + 1/6*sqrt(3)*log(-(sqrt(3) - sqrt(x^2 + 2*x + 4))/(x + 1))","A",0
244,1,151,0,1.000031," ","integrate(1/(x^3-8)/(x^2+2*x+5)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{3} \arctan\left(-\frac{1}{3} \, \sqrt{3} {\left(x + 2\right)} + \frac{1}{3} \, \sqrt{3} \sqrt{x^{2} + 2 \, x + 5}\right) - \frac{1}{12} \, \sqrt{3} \arctan\left(-\frac{1}{3} \, \sqrt{3} x + \frac{1}{3} \, \sqrt{3} \sqrt{x^{2} + 2 \, x + 5}\right) + \frac{1}{156} \, \sqrt{13} \log\left(\frac{\sqrt{13} {\left(3 \, x + 7\right)} + \sqrt{x^{2} + 2 \, x + 5} {\left(3 \, \sqrt{13} - 13\right)} - 9 \, x - 21}{x - 2}\right) - \frac{1}{24} \, \log\left(x^{2} - \sqrt{x^{2} + 2 \, x + 5} {\left(x + 2\right)} + 3 \, x + 6\right) + \frac{1}{24} \, \log\left(x^{2} - \sqrt{x^{2} + 2 \, x + 5} x + x + 4\right)"," ",0,"1/12*sqrt(3)*arctan(-1/3*sqrt(3)*(x + 2) + 1/3*sqrt(3)*sqrt(x^2 + 2*x + 5)) - 1/12*sqrt(3)*arctan(-1/3*sqrt(3)*x + 1/3*sqrt(3)*sqrt(x^2 + 2*x + 5)) + 1/156*sqrt(13)*log((sqrt(13)*(3*x + 7) + sqrt(x^2 + 2*x + 5)*(3*sqrt(13) - 13) - 9*x - 21)/(x - 2)) - 1/24*log(x^2 - sqrt(x^2 + 2*x + 5)*(x + 2) + 3*x + 6) + 1/24*log(x^2 - sqrt(x^2 + 2*x + 5)*x + x + 4)","B",0
245,1,307,0,1.171654," ","integrate(x/(x^2+x+4)/(4*x^2+4*x+5)^(1/2),x, algorithm=""fricas"")","\frac{2}{165} \, \sqrt{165} \sqrt{15} \arctan\left(\frac{1}{60} \, \sqrt{2} \sqrt{4 \, x^{2} - \sqrt{4 \, x^{2} + 4 \, x + 5} {\left(2 \, x + 1\right)} + 4 \, x - \sqrt{165} + 16} {\left(\sqrt{165} \sqrt{15} + 15 \, \sqrt{15}\right)} + \frac{1}{60} \, \sqrt{165} \sqrt{15} {\left(2 \, x + 1\right)} - \frac{1}{60} \, \sqrt{4 \, x^{2} + 4 \, x + 5} {\left(\sqrt{165} \sqrt{15} + 15 \, \sqrt{15}\right)} + \frac{1}{4} \, \sqrt{15} {\left(2 \, x + 1\right)}\right) + \frac{2}{165} \, \sqrt{165} \sqrt{15} \arctan\left(\frac{1}{60} \, \sqrt{2} \sqrt{4 \, x^{2} - \sqrt{4 \, x^{2} + 4 \, x + 5} {\left(2 \, x + 1\right)} + 4 \, x + \sqrt{165} + 16} {\left(\sqrt{165} \sqrt{15} - 15 \, \sqrt{15}\right)} + \frac{1}{60} \, \sqrt{165} \sqrt{15} {\left(2 \, x + 1\right)} - \frac{1}{60} \, \sqrt{4 \, x^{2} + 4 \, x + 5} {\left(\sqrt{165} \sqrt{15} - 15 \, \sqrt{15}\right)} - \frac{1}{4} \, \sqrt{15} {\left(2 \, x + 1\right)}\right) - \frac{1}{330} \, \sqrt{165} \log\left(460800 \, x^{2} - 115200 \, \sqrt{4 \, x^{2} + 4 \, x + 5} {\left(2 \, x + 1\right)} + 460800 \, x + 115200 \, \sqrt{165} + 1843200\right) + \frac{1}{330} \, \sqrt{165} \log\left(460800 \, x^{2} - 115200 \, \sqrt{4 \, x^{2} + 4 \, x + 5} {\left(2 \, x + 1\right)} + 460800 \, x - 115200 \, \sqrt{165} + 1843200\right)"," ",0,"2/165*sqrt(165)*sqrt(15)*arctan(1/60*sqrt(2)*sqrt(4*x^2 - sqrt(4*x^2 + 4*x + 5)*(2*x + 1) + 4*x - sqrt(165) + 16)*(sqrt(165)*sqrt(15) + 15*sqrt(15)) + 1/60*sqrt(165)*sqrt(15)*(2*x + 1) - 1/60*sqrt(4*x^2 + 4*x + 5)*(sqrt(165)*sqrt(15) + 15*sqrt(15)) + 1/4*sqrt(15)*(2*x + 1)) + 2/165*sqrt(165)*sqrt(15)*arctan(1/60*sqrt(2)*sqrt(4*x^2 - sqrt(4*x^2 + 4*x + 5)*(2*x + 1) + 4*x + sqrt(165) + 16)*(sqrt(165)*sqrt(15) - 15*sqrt(15)) + 1/60*sqrt(165)*sqrt(15)*(2*x + 1) - 1/60*sqrt(4*x^2 + 4*x + 5)*(sqrt(165)*sqrt(15) - 15*sqrt(15)) - 1/4*sqrt(15)*(2*x + 1)) - 1/330*sqrt(165)*log(460800*x^2 - 115200*sqrt(4*x^2 + 4*x + 5)*(2*x + 1) + 460800*x + 115200*sqrt(165) + 1843200) + 1/330*sqrt(165)*log(460800*x^2 - 115200*sqrt(4*x^2 + 4*x + 5)*(2*x + 1) + 460800*x - 115200*sqrt(165) + 1843200)","B",0
246,1,303,0,0.921437," ","integrate((3+x)/(x^2+1)/(x^2+x+1)^(1/2),x, algorithm=""fricas"")","\frac{4}{5} \, \sqrt{10} \sqrt{5} \arctan\left(\frac{1}{25} \, \sqrt{5} \sqrt{\sqrt{10} \sqrt{5} {\left(x - 1\right)} + 10 \, x^{2} - \sqrt{x^{2} + x + 1} {\left(\sqrt{10} \sqrt{5} + 10 \, x\right)} + 5 \, x + 15} {\left(\sqrt{10} \sqrt{5} + 10\right)} + \frac{1}{5} \, \sqrt{10} \sqrt{5} {\left(x + 1\right)} - \frac{1}{5} \, \sqrt{x^{2} + x + 1} {\left(\sqrt{10} \sqrt{5} + 10\right)} + 2 \, x + 1\right) + \frac{4}{5} \, \sqrt{10} \sqrt{5} \arctan\left(\frac{1}{5} \, \sqrt{10} \sqrt{5} {\left(x + 1\right)} + \frac{1}{50} \, \sqrt{-20 \, \sqrt{10} \sqrt{5} {\left(x - 1\right)} + 200 \, x^{2} + 20 \, \sqrt{x^{2} + x + 1} {\left(\sqrt{10} \sqrt{5} - 10 \, x\right)} + 100 \, x + 300} {\left(\sqrt{10} \sqrt{5} - 10\right)} - \frac{1}{5} \, \sqrt{x^{2} + x + 1} {\left(\sqrt{10} \sqrt{5} - 10\right)} - 2 \, x - 1\right) - \frac{1}{10} \, \sqrt{10} \sqrt{5} \log\left(20 \, \sqrt{10} \sqrt{5} {\left(x - 1\right)} + 200 \, x^{2} - 20 \, \sqrt{x^{2} + x + 1} {\left(\sqrt{10} \sqrt{5} + 10 \, x\right)} + 100 \, x + 300\right) + \frac{1}{10} \, \sqrt{10} \sqrt{5} \log\left(-20 \, \sqrt{10} \sqrt{5} {\left(x - 1\right)} + 200 \, x^{2} + 20 \, \sqrt{x^{2} + x + 1} {\left(\sqrt{10} \sqrt{5} - 10 \, x\right)} + 100 \, x + 300\right)"," ",0,"4/5*sqrt(10)*sqrt(5)*arctan(1/25*sqrt(5)*sqrt(sqrt(10)*sqrt(5)*(x - 1) + 10*x^2 - sqrt(x^2 + x + 1)*(sqrt(10)*sqrt(5) + 10*x) + 5*x + 15)*(sqrt(10)*sqrt(5) + 10) + 1/5*sqrt(10)*sqrt(5)*(x + 1) - 1/5*sqrt(x^2 + x + 1)*(sqrt(10)*sqrt(5) + 10) + 2*x + 1) + 4/5*sqrt(10)*sqrt(5)*arctan(1/5*sqrt(10)*sqrt(5)*(x + 1) + 1/50*sqrt(-20*sqrt(10)*sqrt(5)*(x - 1) + 200*x^2 + 20*sqrt(x^2 + x + 1)*(sqrt(10)*sqrt(5) - 10*x) + 100*x + 300)*(sqrt(10)*sqrt(5) - 10) - 1/5*sqrt(x^2 + x + 1)*(sqrt(10)*sqrt(5) - 10) - 2*x - 1) - 1/10*sqrt(10)*sqrt(5)*log(20*sqrt(10)*sqrt(5)*(x - 1) + 200*x^2 - 20*sqrt(x^2 + x + 1)*(sqrt(10)*sqrt(5) + 10*x) + 100*x + 300) + 1/10*sqrt(10)*sqrt(5)*log(-20*sqrt(10)*sqrt(5)*(x - 1) + 200*x^2 + 20*sqrt(x^2 + x + 1)*(sqrt(10)*sqrt(5) - 10*x) + 100*x + 300)","B",0
247,1,311,0,1.187238," ","integrate((1+2*x)/(3*x^2+4*x+4)/(x^2+6*x-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{84} \, \sqrt{14} \sqrt{2} \log\left(13068 \, \sqrt{14} \sqrt{2} {\left(x - 2\right)} + 78408 \, x^{2} - 13068 \, \sqrt{x^{2} + 6 \, x - 1} {\left(\sqrt{14} \sqrt{2} + 6 \, x + 4\right)} + 287496 \, x + 287496\right) - \frac{1}{84} \, \sqrt{14} \sqrt{2} \log\left(-13068 \, \sqrt{14} \sqrt{2} {\left(x - 2\right)} + 78408 \, x^{2} + 13068 \, \sqrt{x^{2} + 6 \, x - 1} {\left(\sqrt{14} \sqrt{2} - 6 \, x - 4\right)} + 287496 \, x + 287496\right) - \frac{5}{42} \, \sqrt{14} \arctan\left(\frac{1}{24} \, \sqrt{3} \sqrt{\sqrt{14} \sqrt{2} {\left(x - 2\right)} + 6 \, x^{2} - \sqrt{x^{2} + 6 \, x - 1} {\left(\sqrt{14} \sqrt{2} + 6 \, x + 4\right)} + 22 \, x + 22} {\left(\sqrt{14} + \sqrt{2}\right)} + \frac{1}{8} \, \sqrt{2} {\left(x + 3\right)} + \frac{1}{8} \, \sqrt{14} {\left(x + 1\right)} - \frac{1}{8} \, \sqrt{x^{2} + 6 \, x - 1} {\left(\sqrt{14} + \sqrt{2}\right)}\right) - \frac{5}{42} \, \sqrt{14} \arctan\left(-\frac{1}{8} \, \sqrt{2} {\left(x + 3\right)} + \frac{1}{8} \, \sqrt{14} {\left(x + 1\right)} + \frac{1}{1584} \, \sqrt{-13068 \, \sqrt{14} \sqrt{2} {\left(x - 2\right)} + 78408 \, x^{2} + 13068 \, \sqrt{x^{2} + 6 \, x - 1} {\left(\sqrt{14} \sqrt{2} - 6 \, x - 4\right)} + 287496 \, x + 287496} {\left(\sqrt{14} - \sqrt{2}\right)} - \frac{1}{8} \, \sqrt{x^{2} + 6 \, x - 1} {\left(\sqrt{14} - \sqrt{2}\right)}\right)"," ",0,"1/84*sqrt(14)*sqrt(2)*log(13068*sqrt(14)*sqrt(2)*(x - 2) + 78408*x^2 - 13068*sqrt(x^2 + 6*x - 1)*(sqrt(14)*sqrt(2) + 6*x + 4) + 287496*x + 287496) - 1/84*sqrt(14)*sqrt(2)*log(-13068*sqrt(14)*sqrt(2)*(x - 2) + 78408*x^2 + 13068*sqrt(x^2 + 6*x - 1)*(sqrt(14)*sqrt(2) - 6*x - 4) + 287496*x + 287496) - 5/42*sqrt(14)*arctan(1/24*sqrt(3)*sqrt(sqrt(14)*sqrt(2)*(x - 2) + 6*x^2 - sqrt(x^2 + 6*x - 1)*(sqrt(14)*sqrt(2) + 6*x + 4) + 22*x + 22)*(sqrt(14) + sqrt(2)) + 1/8*sqrt(2)*(x + 3) + 1/8*sqrt(14)*(x + 1) - 1/8*sqrt(x^2 + 6*x - 1)*(sqrt(14) + sqrt(2))) - 5/42*sqrt(14)*arctan(-1/8*sqrt(2)*(x + 3) + 1/8*sqrt(14)*(x + 1) + 1/1584*sqrt(-13068*sqrt(14)*sqrt(2)*(x - 2) + 78408*x^2 + 13068*sqrt(x^2 + 6*x - 1)*(sqrt(14)*sqrt(2) - 6*x - 4) + 287496*x + 287496)*(sqrt(14) - sqrt(2)) - 1/8*sqrt(x^2 + 6*x - 1)*(sqrt(14) - sqrt(2)))","B",0
248,-1,0,0,0.000000," ","integrate((A*x+B)/(5*x^2-18*x+17)/(10*x^2-22*x+13)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
249,1,81,0,0.678543," ","integrate((-2+x)/(5*x^2-18*x+17)/(10*x^2-22*x+13)^(1/2),x, algorithm=""fricas"")","\frac{1}{280} \, \sqrt{35} \log\left(\frac{11225 \, x^{4} - 47220 \, x^{3} - 8 \, \sqrt{35} {\left(75 \, x^{3} - 233 \, x^{2} + 245 \, x - 87\right)} \sqrt{10 \, x^{2} - 22 \, x + 13} + 75534 \, x^{2} - 54372 \, x + 14849}{25 \, x^{4} - 180 \, x^{3} + 494 \, x^{2} - 612 \, x + 289}\right)"," ",0,"1/280*sqrt(35)*log((11225*x^4 - 47220*x^3 - 8*sqrt(35)*(75*x^3 - 233*x^2 + 245*x - 87)*sqrt(10*x^2 - 22*x + 13) + 75534*x^2 - 54372*x + 14849)/(25*x^4 - 180*x^3 + 494*x^2 - 612*x + 289))","B",0
250,1,42,0,0.528654," ","integrate(x^4*(-x^2+5)^(1/2),x, algorithm=""fricas"")","\frac{1}{48} \, {\left(8 \, x^{5} - 10 \, x^{3} - 75 \, x\right)} \sqrt{-x^{2} + 5} - \frac{125}{16} \, \arctan\left(\frac{\sqrt{-x^{2} + 5}}{x}\right)"," ",0,"1/48*(8*x^5 - 10*x^3 - 75*x)*sqrt(-x^2 + 5) - 125/16*arctan(sqrt(-x^2 + 5)/x)","A",0
251,1,31,0,0.637234," ","integrate(1/x^6/(x^2+2)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, x^{5} + {\left(2 \, x^{4} - 2 \, x^{2} + 3\right)} \sqrt{x^{2} + 2}}{30 \, x^{5}}"," ",0,"-1/30*(2*x^5 + (2*x^4 - 2*x^2 + 3)*sqrt(x^2 + 2))/x^5","A",0
252,1,44,0,0.575516," ","integrate(1/(2*x^2+3)^(7/2),x, algorithm=""fricas"")","\frac{{\left(32 \, x^{5} + 120 \, x^{3} + 135 \, x\right)} \sqrt{2 \, x^{2} + 3}}{405 \, {\left(8 \, x^{6} + 36 \, x^{4} + 54 \, x^{2} + 27\right)}}"," ",0,"1/405*(32*x^5 + 120*x^3 + 135*x)*sqrt(2*x^2 + 3)/(8*x^6 + 36*x^4 + 54*x^2 + 27)","A",0
253,1,62,0,0.585799," ","integrate(x/(1+x^2+a*(x^2+1)^(1/2)),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(-a^{2} + x^{2} + 1\right) - \frac{1}{2} \, \log\left(a x + x^{2} - \sqrt{x^{2} + 1} {\left(a + x\right)} + 1\right) + \frac{1}{2} \, \log\left(-a x + x^{2} + \sqrt{x^{2} + 1} {\left(a - x\right)} + 1\right)"," ",0,"1/2*log(-a^2 + x^2 + 1) - 1/2*log(a*x + x^2 - sqrt(x^2 + 1)*(a + x) + 1) + 1/2*log(-a*x + x^2 + sqrt(x^2 + 1)*(a - x) + 1)","B",0
254,1,37,0,0.664615," ","integrate((x^2-x+1)/(x^2+1)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(x^{2} + 1\right)} \log\left(-x + \sqrt{x^{2} + 1}\right) - \sqrt{x^{2} + 1}}{x^{2} + 1}"," ",0,"-((x^2 + 1)*log(-x + sqrt(x^2 + 1)) - sqrt(x^2 + 1))/(x^2 + 1)","B",0
255,1,67,0,0.572505," ","integrate((x^2+1)^(1/2)/(x^2+2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{9 \, x^{2} - 2 \, \sqrt{2} {\left(3 \, x^{2} + 2\right)} - 2 \, \sqrt{x^{2} + 1} {\left(3 \, \sqrt{2} x - 4 \, x\right)} + 6}{x^{2} + 2}\right) - \log\left(-x + \sqrt{x^{2} + 1}\right)"," ",0,"1/4*sqrt(2)*log((9*x^2 - 2*sqrt(2)*(3*x^2 + 2) - 2*sqrt(x^2 + 1)*(3*sqrt(2)*x - 4*x) + 6)/(x^2 + 2)) - log(-x + sqrt(x^2 + 1))","B",0
256,1,83,0,0.526596," ","integrate(1/(x^2+2)^2/(x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} {\left(x^{2} + 2\right)} \log\left(\frac{9 \, x^{2} + 2 \, \sqrt{2} {\left(3 \, x^{2} + 2\right)} + 2 \, \sqrt{x^{2} + 1} {\left(3 \, \sqrt{2} x + 4 \, x\right)} + 6}{x^{2} + 2}\right) - 4 \, x^{2} - 4 \, \sqrt{x^{2} + 1} x - 8}{16 \, {\left(x^{2} + 2\right)}}"," ",0,"1/16*(3*sqrt(2)*(x^2 + 2)*log((9*x^2 + 2*sqrt(2)*(3*x^2 + 2) + 2*sqrt(x^2 + 1)*(3*sqrt(2)*x + 4*x) + 6)/(x^2 + 2)) - 4*x^2 - 4*sqrt(x^2 + 1)*x - 8)/(x^2 + 2)","B",0
257,1,77,0,0.672473," ","integrate(x^2/(x^2-6)/(x^2-2)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{3} \sqrt{2} \log\left(-\frac{2 \, \sqrt{3} \sqrt{2} {\left(5 \, x^{2} - 6\right)} - 25 \, x^{2} + 2 \, {\left(5 \, \sqrt{3} \sqrt{2} x - 12 \, x\right)} \sqrt{x^{2} - 2} + 30}{x^{2} - 6}\right) - \log\left(-x + \sqrt{x^{2} - 2}\right)"," ",0,"1/4*sqrt(3)*sqrt(2)*log(-(2*sqrt(3)*sqrt(2)*(5*x^2 - 6) - 25*x^2 + 2*(5*sqrt(3)*sqrt(2)*x - 12*x)*sqrt(x^2 - 2) + 30)/(x^2 - 6)) - log(-x + sqrt(x^2 - 2))","B",0
258,1,50,0,0.697211," ","integrate((x^2+5)/(x^2+1)^2/(-x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{2} {\left(x^{2} + 1\right)} \arctan\left(\frac{\sqrt{2} \sqrt{-x^{2} + 1}}{2 \, x}\right) - \sqrt{-x^{2} + 1} x}{x^{2} + 1}"," ",0,"-(2*sqrt(2)*(x^2 + 1)*arctan(1/2*sqrt(2)*sqrt(-x^2 + 1)/x) - sqrt(-x^2 + 1)*x)/(x^2 + 1)","A",0
259,1,160,0,0.592995," ","integrate((4*x-(-x^2+1)^(1/2))/(5+(-x^2+1)^(1/2)),x, algorithm=""fricas"")","\frac{25}{12} \, \sqrt{6} \arctan\left(\frac{1}{12} \, \sqrt{6} x\right) + \frac{25}{12} \, \sqrt{6} \arctan\left(\frac{\sqrt{6} \sqrt{-x^{2} + 1} - \sqrt{6}}{2 \, x}\right) + \frac{25}{12} \, \sqrt{6} \arctan\left(\frac{\sqrt{6} \sqrt{-x^{2} + 1} - \sqrt{6}}{3 \, x}\right) - x - 4 \, \sqrt{-x^{2} + 1} - 10 \, \arctan\left(\frac{\sqrt{-x^{2} + 1} - 1}{x}\right) + 10 \, \log\left(x^{2} + 24\right) - 10 \, \log\left(-\frac{x^{2} + 6 \, \sqrt{-x^{2} + 1} - 6}{x^{2}}\right) + 10 \, \log\left(\frac{x^{2} - 4 \, \sqrt{-x^{2} + 1} + 4}{x^{2}}\right)"," ",0,"25/12*sqrt(6)*arctan(1/12*sqrt(6)*x) + 25/12*sqrt(6)*arctan(1/2*(sqrt(6)*sqrt(-x^2 + 1) - sqrt(6))/x) + 25/12*sqrt(6)*arctan(1/3*(sqrt(6)*sqrt(-x^2 + 1) - sqrt(6))/x) - x - 4*sqrt(-x^2 + 1) - 10*arctan((sqrt(-x^2 + 1) - 1)/x) + 10*log(x^2 + 24) - 10*log(-(x^2 + 6*sqrt(-x^2 + 1) - 6)/x^2) + 10*log((x^2 - 4*sqrt(-x^2 + 1) + 4)/x^2)","B",0
260,1,170,0,0.680610," ","integrate(x^2*(2-(x^2+1)^(1/2))/(1-x^3+(x^2+1)^(3/2))/(x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{6} \, x^{2} - \frac{1}{18} \, \sqrt{x^{2} + 1} {\left(3 \, x - 16\right)} + \frac{4}{27} \, \sqrt{2} \arctan\left(\frac{1}{4} \, \sqrt{2} {\left(3 \, x + 1\right)}\right) + \frac{4}{27} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(3 \, x - 1\right)} + \frac{3}{2} \, \sqrt{2} \sqrt{x^{2} + 1}\right) - \frac{4}{27} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(x + 1\right)} + \frac{1}{2} \, \sqrt{2} \sqrt{x^{2} + 1}\right) + \frac{8}{9} \, x + \frac{7}{54} \, \log\left(3 \, x^{2} - \sqrt{x^{2} + 1} {\left(3 \, x - 1\right)} - x + 2\right) - \frac{7}{54} \, \log\left(3 \, x^{2} + 2 \, x + 3\right) - \frac{7}{54} \, \log\left(x^{2} - \sqrt{x^{2} + 1} {\left(x + 1\right)} + x + 2\right) + \frac{41}{54} \, \log\left(-x + \sqrt{x^{2} + 1}\right)"," ",0,"-1/6*x^2 - 1/18*sqrt(x^2 + 1)*(3*x - 16) + 4/27*sqrt(2)*arctan(1/4*sqrt(2)*(3*x + 1)) + 4/27*sqrt(2)*arctan(-1/2*sqrt(2)*(3*x - 1) + 3/2*sqrt(2)*sqrt(x^2 + 1)) - 4/27*sqrt(2)*arctan(-1/2*sqrt(2)*(x + 1) + 1/2*sqrt(2)*sqrt(x^2 + 1)) + 8/9*x + 7/54*log(3*x^2 - sqrt(x^2 + 1)*(3*x - 1) - x + 2) - 7/54*log(3*x^2 + 2*x + 3) - 7/54*log(x^2 - sqrt(x^2 + 1)*(x + 1) + x + 2) + 41/54*log(-x + sqrt(x^2 + 1))","A",0
261,1,51,0,0.660150," ","integrate(x*(2*r*x-x^2)^(1/2),x, algorithm=""fricas"")","-r^{3} \arctan\left(\frac{\sqrt{2 \, r x - x^{2}}}{x}\right) - \frac{1}{6} \, {\left(3 \, r^{2} + r x - 2 \, x^{2}\right)} \sqrt{2 \, r x - x^{2}}"," ",0,"-r^3*arctan(sqrt(2*r*x - x^2)/x) - 1/6*(3*r^2 + r*x - 2*x^2)*sqrt(2*r*x - x^2)","A",0
262,1,60,0,0.693483," ","integrate(x^2*(2*r*x-x^2)^(1/2),x, algorithm=""fricas"")","-\frac{5}{4} \, r^{4} \arctan\left(\frac{\sqrt{2 \, r x - x^{2}}}{x}\right) - \frac{1}{24} \, {\left(15 \, r^{3} + 5 \, r^{2} x + 2 \, r x^{2} - 6 \, x^{3}\right)} \sqrt{2 \, r x - x^{2}}"," ",0,"-5/4*r^4*arctan(sqrt(2*r*x - x^2)/x) - 1/24*(15*r^3 + 5*r^2*x + 2*r*x^2 - 6*x^3)*sqrt(2*r*x - x^2)","A",0
263,1,68,0,0.596167," ","integrate(x^3*(2*r*x-x^2)^(1/2),x, algorithm=""fricas"")","-\frac{7}{4} \, r^{5} \arctan\left(\frac{\sqrt{2 \, r x - x^{2}}}{x}\right) - \frac{1}{120} \, {\left(105 \, r^{4} + 35 \, r^{3} x + 14 \, r^{2} x^{2} + 6 \, r x^{3} - 24 \, x^{4}\right)} \sqrt{2 \, r x - x^{2}}"," ",0,"-7/4*r^5*arctan(sqrt(2*r*x - x^2)/x) - 1/120*(105*r^4 + 35*r^3*x + 14*r^2*x^2 + 6*r*x^3 - 24*x^4)*sqrt(2*r*x - x^2)","A",0
264,1,62,0,0.577161," ","integrate(1/(x^2-1)/(x^2+2*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \log\left(-\frac{\sqrt{3} {\left(2 \, x + 1\right)} + \sqrt{x^{2} + 2 \, x} {\left(2 \, \sqrt{3} - 3\right)} - 4 \, x - 2}{x - 1}\right) - \arctan\left(-x + \sqrt{x^{2} + 2 \, x} - 1\right)"," ",0,"1/6*sqrt(3)*log(-(sqrt(3)*(2*x + 1) + sqrt(x^2 + 2*x)*(2*sqrt(3) - 3) - 4*x - 2)/(x - 1)) - arctan(-x + sqrt(x^2 + 2*x) - 1)","A",0
265,1,64,0,0.843875," ","integrate((-2+3*x)/(1+x)^3/(-x^2+2*x)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(x^{2} + 2 \, x + 1\right)} \arctan\left(\frac{\sqrt{3} \sqrt{-x^{2} + 2 \, x}}{3 \, x}\right) - \sqrt{-x^{2} + 2 \, x} {\left(4 \, x + 9\right)}}{6 \, {\left(x^{2} + 2 \, x + 1\right)}}"," ",0,"1/6*(2*sqrt(3)*(x^2 + 2*x + 1)*arctan(1/3*sqrt(3)*sqrt(-x^2 + 2*x)/x) - sqrt(-x^2 + 2*x)*(4*x + 9))/(x^2 + 2*x + 1)","A",0
266,1,18,0,0.708697," ","integrate(1/(x^2+x+1)^(1/2),x, algorithm=""fricas"")","-\log\left(-2 \, x + 2 \, \sqrt{x^{2} + x + 1} - 1\right)"," ",0,"-log(-2*x + 2*sqrt(x^2 + x + 1) - 1)","A",0
267,1,39,0,0.734765," ","integrate(x^3/(x^2+x+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{24} \, {\left(8 \, x^{2} - 10 \, x - 1\right)} \sqrt{x^{2} + x + 1} - \frac{7}{16} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} + x + 1} - 1\right)"," ",0,"1/24*(8*x^2 - 10*x - 1)*sqrt(x^2 + x + 1) - 7/16*log(-2*x + 2*sqrt(x^2 + x + 1) - 1)","A",0
268,1,34,0,0.631839," ","integrate(1/(x^2+x+1)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, x^{2} + \sqrt{x^{2} + x + 1} {\left(2 \, x + 1\right)} + 2 \, x + 2\right)}}{3 \, {\left(x^{2} + x + 1\right)}}"," ",0,"2/3*(2*x^2 + sqrt(x^2 + x + 1)*(2*x + 1) + 2*x + 2)/(x^2 + x + 1)","B",0
269,1,28,0,0.666106," ","integrate(x/(x^2+x+1)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(x^{2} + \sqrt{x^{2} + x + 1} {\left(x + 2\right)} + x + 1\right)}}{3 \, {\left(x^{2} + x + 1\right)}}"," ",0,"-2/3*(x^2 + sqrt(x^2 + x + 1)*(x + 2) + x + 1)/(x^2 + x + 1)","B",0
270,1,64,0,0.582967," ","integrate(x^3/(x^2+x+1)^(3/2),x, algorithm=""fricas"")","\frac{19 \, x^{2} + 18 \, {\left(x^{2} + x + 1\right)} \log\left(-2 \, x + 2 \, \sqrt{x^{2} + x + 1} - 1\right) + 4 \, {\left(3 \, x^{2} + 7 \, x + 5\right)} \sqrt{x^{2} + x + 1} + 19 \, x + 19}{12 \, {\left(x^{2} + x + 1\right)}}"," ",0,"1/12*(19*x^2 + 18*(x^2 + x + 1)*log(-2*x + 2*sqrt(x^2 + x + 1) - 1) + 4*(3*x^2 + 7*x + 5)*sqrt(x^2 + x + 1) + 19*x + 19)/(x^2 + x + 1)","A",0
271,1,44,0,0.705429," ","integrate(x^2*(x^2+x+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{192} \, {\left(48 \, x^{3} + 8 \, x^{2} + 14 \, x - 37\right)} \sqrt{x^{2} + x + 1} - \frac{3}{128} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} + x + 1} - 1\right)"," ",0,"1/192*(48*x^3 + 8*x^2 + 14*x - 37)*sqrt(x^2 + x + 1) - 3/128*log(-2*x + 2*sqrt(x^2 + x + 1) - 1)","A",0
272,1,44,0,0.773088," ","integrate((x^2+x+1)^(3/2),x, algorithm=""fricas"")","\frac{1}{64} \, {\left(16 \, x^{3} + 24 \, x^{2} + 42 \, x + 17\right)} \sqrt{x^{2} + x + 1} - \frac{27}{128} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} + x + 1} - 1\right)"," ",0,"1/64*(16*x^3 + 24*x^2 + 42*x + 17)*sqrt(x^2 + x + 1) - 27/128*log(-2*x + 2*sqrt(x^2 + x + 1) - 1)","A",0
273,1,54,0,0.597965," ","integrate((x^2+x+1)^(5/2),x, algorithm=""fricas"")","\frac{1}{1536} \, {\left(256 \, x^{5} + 640 \, x^{4} + 1264 \, x^{3} + 1256 \, x^{2} + 1142 \, x + 383\right)} \sqrt{x^{2} + x + 1} - \frac{135}{1024} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} + x + 1} - 1\right)"," ",0,"1/1536*(256*x^5 + 640*x^4 + 1264*x^3 + 1256*x^2 + 1142*x + 383)*sqrt(x^2 + x + 1) - 135/1024*log(-2*x + 2*sqrt(x^2 + x + 1) - 1)","A",0
274,1,52,0,0.681136," ","integrate(1/x^2/(x^2+x+1)^(1/2),x, algorithm=""fricas"")","\frac{x \log\left(-x + \sqrt{x^{2} + x + 1} + 1\right) - x \log\left(-x + \sqrt{x^{2} + x + 1} - 1\right) - 2 \, x - 2 \, \sqrt{x^{2} + x + 1}}{2 \, x}"," ",0,"1/2*(x*log(-x + sqrt(x^2 + x + 1) + 1) - x*log(-x + sqrt(x^2 + x + 1) - 1) - 2*x - 2*sqrt(x^2 + x + 1))/x","A",0
275,1,63,0,0.712875," ","integrate(1/x^3/(x^2+x+1)^(1/2),x, algorithm=""fricas"")","\frac{x^{2} \log\left(-x + \sqrt{x^{2} + x + 1} + 1\right) - x^{2} \log\left(-x + \sqrt{x^{2} + x + 1} - 1\right) + 6 \, x^{2} + 2 \, \sqrt{x^{2} + x + 1} {\left(3 \, x - 2\right)}}{8 \, x^{2}}"," ",0,"1/8*(x^2*log(-x + sqrt(x^2 + x + 1) + 1) - x^2*log(-x + sqrt(x^2 + x + 1) - 1) + 6*x^2 + 2*sqrt(x^2 + x + 1)*(3*x - 2))/x^2","A",0
276,1,94,0,0.587837," ","integrate(1/x^2/(x^2+x+1)^(3/2),x, algorithm=""fricas"")","-\frac{10 \, x^{3} + 10 \, x^{2} - 9 \, {\left(x^{3} + x^{2} + x\right)} \log\left(-x + \sqrt{x^{2} + x + 1} + 1\right) + 9 \, {\left(x^{3} + x^{2} + x\right)} \log\left(-x + \sqrt{x^{2} + x + 1} - 1\right) + 2 \, {\left(5 \, x^{2} + 7 \, x + 3\right)} \sqrt{x^{2} + x + 1} + 10 \, x}{6 \, {\left(x^{3} + x^{2} + x\right)}}"," ",0,"-1/6*(10*x^3 + 10*x^2 - 9*(x^3 + x^2 + x)*log(-x + sqrt(x^2 + x + 1) + 1) + 9*(x^3 + x^2 + x)*log(-x + sqrt(x^2 + x + 1) - 1) + 2*(5*x^2 + 7*x + 3)*sqrt(x^2 + x + 1) + 10*x)/(x^3 + x^2 + x)","B",0
277,1,107,0,0.665042," ","integrate(1/x^3/(x^2+x+1)^(3/2),x, algorithm=""fricas"")","\frac{74 \, x^{4} + 74 \, x^{3} + 74 \, x^{2} - 9 \, {\left(x^{4} + x^{3} + x^{2}\right)} \log\left(-x + \sqrt{x^{2} + x + 1} + 1\right) + 9 \, {\left(x^{4} + x^{3} + x^{2}\right)} \log\left(-x + \sqrt{x^{2} + x + 1} - 1\right) + 2 \, {\left(37 \, x^{3} + 23 \, x^{2} + 15 \, x - 6\right)} \sqrt{x^{2} + x + 1}}{24 \, {\left(x^{4} + x^{3} + x^{2}\right)}}"," ",0,"1/24*(74*x^4 + 74*x^3 + 74*x^2 - 9*(x^4 + x^3 + x^2)*log(-x + sqrt(x^2 + x + 1) + 1) + 9*(x^4 + x^3 + x^2)*log(-x + sqrt(x^2 + x + 1) - 1) + 2*(37*x^3 + 23*x^2 + 15*x - 6)*sqrt(x^2 + x + 1))/(x^4 + x^3 + x^2)","A",0
278,1,30,0,0.611531," ","integrate(1/(1+x)/(x^2+x+1)^(1/2),x, algorithm=""fricas"")","-\log\left(-x + \sqrt{x^{2} + x + 1}\right) + \log\left(-x + \sqrt{x^{2} + x + 1} - 2\right)"," ",0,"-log(-x + sqrt(x^2 + x + 1)) + log(-x + sqrt(x^2 + x + 1) - 2)","A",0
279,1,110,0,0.626328," ","integrate(1/(x^3-x)/(x^2+2*x+4)^(1/2),x, algorithm=""fricas"")","\frac{1}{14} \, \sqrt{7} \log\left(\frac{\sqrt{7} {\left(2 \, x + 5\right)} + \sqrt{x^{2} + 2 \, x + 4} {\left(2 \, \sqrt{7} - 7\right)} - 4 \, x - 10}{x - 1}\right) + \frac{1}{6} \, \sqrt{3} \log\left(-\frac{\sqrt{3} - \sqrt{x^{2} + 2 \, x + 4}}{x + 1}\right) + \frac{1}{2} \, \log\left(-x + \sqrt{x^{2} + 2 \, x + 4} + 2\right) - \frac{1}{2} \, \log\left(-x + \sqrt{x^{2} + 2 \, x + 4} - 2\right)"," ",0,"1/14*sqrt(7)*log((sqrt(7)*(2*x + 5) + sqrt(x^2 + 2*x + 4)*(2*sqrt(7) - 7) - 4*x - 10)/(x - 1)) + 1/6*sqrt(3)*log(-(sqrt(3) - sqrt(x^2 + 2*x + 4))/(x + 1)) + 1/2*log(-x + sqrt(x^2 + 2*x + 4) + 2) - 1/2*log(-x + sqrt(x^2 + 2*x + 4) - 2)","A",0
280,1,92,0,0.570988," ","integrate((x^2+2*x+4)^(1/2)/(-1+x)^2,x, algorithm=""fricas"")","\frac{2 \, \sqrt{7} {\left(x - 1\right)} \log\left(\frac{\sqrt{7} {\left(2 \, x + 5\right)} + \sqrt{x^{2} + 2 \, x + 4} {\left(2 \, \sqrt{7} - 7\right)} - 4 \, x - 10}{x - 1}\right) - 7 \, {\left(x - 1\right)} \log\left(-x + \sqrt{x^{2} + 2 \, x + 4} - 1\right) - 7 \, x - 7 \, \sqrt{x^{2} + 2 \, x + 4} + 7}{7 \, {\left(x - 1\right)}}"," ",0,"1/7*(2*sqrt(7)*(x - 1)*log((sqrt(7)*(2*x + 5) + sqrt(x^2 + 2*x + 4)*(2*sqrt(7) - 7) - 4*x - 10)/(x - 1)) - 7*(x - 1)*log(-x + sqrt(x^2 + 2*x + 4) - 1) - 7*x - 7*sqrt(x^2 + 2*x + 4) + 7)/(x - 1)","A",0
281,1,174,0,0.569039," ","integrate((3+2*x)/(x^2+2*x+3)^2/(x^2+2*x+4)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x^{2} + 2 \, x + 3\right)} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(x + 2\right)} + \frac{1}{2} \, \sqrt{2} \sqrt{x^{2} + 2 \, x + 4}\right) - \sqrt{2} {\left(x^{2} + 2 \, x + 3\right)} \arctan\left(-\frac{1}{2} \, \sqrt{2} x + \frac{1}{2} \, \sqrt{2} \sqrt{x^{2} + 2 \, x + 4}\right) + 2 \, x^{2} - 4 \, {\left(x^{2} + 2 \, x + 3\right)} \log\left(x^{2} - \sqrt{x^{2} + 2 \, x + 4} {\left(x + 2\right)} + 3 \, x + 5\right) + 4 \, {\left(x^{2} + 2 \, x + 3\right)} \log\left(x^{2} - \sqrt{x^{2} + 2 \, x + 4} x + x + 3\right) + 2 \, \sqrt{x^{2} + 2 \, x + 4} {\left(x - 3\right)} + 4 \, x + 6}{8 \, {\left(x^{2} + 2 \, x + 3\right)}}"," ",0,"1/8*(sqrt(2)*(x^2 + 2*x + 3)*arctan(-1/2*sqrt(2)*(x + 2) + 1/2*sqrt(2)*sqrt(x^2 + 2*x + 4)) - sqrt(2)*(x^2 + 2*x + 3)*arctan(-1/2*sqrt(2)*x + 1/2*sqrt(2)*sqrt(x^2 + 2*x + 4)) + 2*x^2 - 4*(x^2 + 2*x + 3)*log(x^2 - sqrt(x^2 + 2*x + 4)*(x + 2) + 3*x + 5) + 4*(x^2 + 2*x + 3)*log(x^2 - sqrt(x^2 + 2*x + 4)*x + x + 3) + 2*sqrt(x^2 + 2*x + 4)*(x - 3) + 4*x + 6)/(x^2 + 2*x + 3)","B",0
282,1,22,0,0.684514," ","integrate((2*x^3+3*x^2)/(2*x^2+x-3)/(x^2+2*x-3)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{x^{2} + 2 \, x - 3} {\left(2 \, x - 3\right)}}{2 \, {\left(x - 1\right)}}"," ",0,"1/2*sqrt(x^2 + 2*x - 3)*(2*x - 3)/(x - 1)","A",0
283,1,147,0,0.724243," ","integrate((x^4+1)/(x^2+x+1)/(x^2+x+2)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{x^{2} + x + 2} {\left(2 \, x - 7\right)} - \frac{1}{3} \, \sqrt{3} \arctan\left(-\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 3\right)} + \frac{2}{3} \, \sqrt{3} \sqrt{x^{2} + x + 2}\right) + \frac{1}{3} \, \sqrt{3} \arctan\left(-\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)} + \frac{2}{3} \, \sqrt{3} \sqrt{x^{2} + x + 2}\right) + \frac{1}{2} \, \log\left(2 \, x^{2} - \sqrt{x^{2} + x + 2} {\left(2 \, x + 3\right)} + 4 \, x + 5\right) - \frac{1}{2} \, \log\left(2 \, x^{2} - \sqrt{x^{2} + x + 2} {\left(2 \, x - 1\right)} + 3\right) + \frac{1}{8} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} + x + 2} - 1\right)"," ",0,"1/4*sqrt(x^2 + x + 2)*(2*x - 7) - 1/3*sqrt(3)*arctan(-1/3*sqrt(3)*(2*x + 3) + 2/3*sqrt(3)*sqrt(x^2 + x + 2)) + 1/3*sqrt(3)*arctan(-1/3*sqrt(3)*(2*x - 1) + 2/3*sqrt(3)*sqrt(x^2 + x + 2)) + 1/2*log(2*x^2 - sqrt(x^2 + x + 2)*(2*x + 3) + 4*x + 5) - 1/2*log(2*x^2 - sqrt(x^2 + x + 2)*(2*x - 1) + 3) + 1/8*log(-2*x + 2*sqrt(x^2 + x + 2) - 1)","B",0
284,1,98,0,0.768797," ","integrate(1/(x^2+2*x+4)^(7/2),x, algorithm=""fricas"")","\frac{8 \, x^{6} + 48 \, x^{5} + 192 \, x^{4} + 448 \, x^{3} + 768 \, x^{2} + {\left(8 \, x^{5} + 40 \, x^{4} + 140 \, x^{3} + 260 \, x^{2} + 355 \, x + 203\right)} \sqrt{x^{2} + 2 \, x + 4} + 768 \, x + 512}{405 \, {\left(x^{6} + 6 \, x^{5} + 24 \, x^{4} + 56 \, x^{3} + 96 \, x^{2} + 96 \, x + 64\right)}}"," ",0,"1/405*(8*x^6 + 48*x^5 + 192*x^4 + 448*x^3 + 768*x^2 + (8*x^5 + 40*x^4 + 140*x^3 + 260*x^2 + 355*x + 203)*sqrt(x^2 + 2*x + 4) + 768*x + 512)/(x^6 + 6*x^5 + 24*x^4 + 56*x^3 + 96*x^2 + 96*x + 64)","B",0
285,1,73,0,0.645491," ","integrate(1/(3*x^2+8*x+1)^(5/2),x, algorithm=""fricas"")","-\frac{252 \, x^{4} + 1344 \, x^{3} + 1960 \, x^{2} - {\left(54 \, x^{3} + 216 \, x^{2} + 171 \, x - 28\right)} \sqrt{3 \, x^{2} + 8 \, x + 1} + 448 \, x + 28}{507 \, {\left(9 \, x^{4} + 48 \, x^{3} + 70 \, x^{2} + 16 \, x + 1\right)}}"," ",0,"-1/507*(252*x^4 + 1344*x^3 + 1960*x^2 - (54*x^3 + 216*x^2 + 171*x - 28)*sqrt(3*x^2 + 8*x + 1) + 448*x + 28)/(9*x^4 + 48*x^3 + 70*x^2 + 16*x + 1)","A",0
286,1,51,0,0.533190," ","integrate(1/(-3*x^2+4*x+5)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(54 \, x^{3} - 108 \, x^{2} - 99 \, x + 98\right)} \sqrt{-3 \, x^{2} + 4 \, x + 5}}{1083 \, {\left(9 \, x^{4} - 24 \, x^{3} - 14 \, x^{2} + 40 \, x + 25\right)}}"," ",0,"-1/1083*(54*x^3 - 108*x^2 - 99*x + 98)*sqrt(-3*x^2 + 4*x + 5)/(9*x^4 - 24*x^3 - 14*x^2 + 40*x + 25)","A",0
287,1,39,0,0.679359," ","integrate(1/(1+(x^2+2*x+2)^(1/2)),x, algorithm=""fricas"")","-\frac{{\left(x + 1\right)} \log\left(-x + \sqrt{x^{2} + 2 \, x + 2} - 1\right) + x + \sqrt{x^{2} + 2 \, x + 2}}{x + 1}"," ",0,"-((x + 1)*log(-x + sqrt(x^2 + 2*x + 2) - 1) + x + sqrt(x^2 + 2*x + 2))/(x + 1)","A",0
288,1,63,0,0.781581," ","integrate(1/(x+(x^2+x+1)^(1/2)),x, algorithm=""fricas"")","-x + \sqrt{x^{2} + x + 1} + \log\left(x + 1\right) - \log\left(-x + \sqrt{x^{2} + x + 1}\right) + \log\left(-x + \sqrt{x^{2} + x + 1} - 2\right) + \frac{1}{2} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} + x + 1} - 1\right)"," ",0,"-x + sqrt(x^2 + x + 1) + log(x + 1) - log(-x + sqrt(x^2 + x + 1)) + log(-x + sqrt(x^2 + x + 1) - 2) + 1/2*log(-2*x + 2*sqrt(x^2 + x + 1) - 1)","A",0
289,1,54,0,0.661970," ","integrate(x^2/(1+2*x+2*(x^2+x+1)^(1/2)),x, algorithm=""fricas"")","-\frac{1}{6} \, x^{4} - \frac{1}{9} \, x^{3} + \frac{1}{288} \, {\left(48 \, x^{3} + 8 \, x^{2} + 14 \, x - 37\right)} \sqrt{x^{2} + x + 1} - \frac{1}{64} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} + x + 1} - 1\right)"," ",0,"-1/6*x^4 - 1/9*x^3 + 1/288*(48*x^3 + 8*x^2 + 14*x - 37)*sqrt(x^2 + x + 1) - 1/64*log(-2*x + 2*sqrt(x^2 + x + 1) - 1)","A",0
290,1,99,0,0.711928," ","integrate((-3*x+(x^2+x+1)^(1/2))/(-1+(x^2+x+1)^(1/2)),x, algorithm=""fricas"")","x - 3 \, \sqrt{x^{2} + x + 1} - 4 \, \log\left(x + 1\right) + \log\left(x\right) - \log\left(-x + \sqrt{x^{2} + x + 1} + 1\right) + 4 \, \log\left(-x + \sqrt{x^{2} + x + 1}\right) + \log\left(-x + \sqrt{x^{2} + x + 1} - 1\right) - 4 \, \log\left(-x + \sqrt{x^{2} + x + 1} - 2\right) - \frac{5}{2} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} + x + 1} - 1\right)"," ",0,"x - 3*sqrt(x^2 + x + 1) - 4*log(x + 1) + log(x) - log(-x + sqrt(x^2 + x + 1) + 1) + 4*log(-x + sqrt(x^2 + x + 1)) + log(-x + sqrt(x^2 + x + 1) - 1) - 4*log(-x + sqrt(x^2 + x + 1) - 2) - 5/2*log(-2*x + 2*sqrt(x^2 + x + 1) - 1)","A",0
291,1,155,0,0.730019," ","integrate((1+x)/(-(x^2+x+1)^(1/2)+(x^2+2*x+4)^(1/2)),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{x^{2} + x + 1} {\left(2 \, x - 7\right)} + \frac{1}{2} \, \sqrt{x^{2} + 2 \, x + 4} {\left(x - 3\right)} + 2 \, \sqrt{7} \log\left(\frac{2 \, \sqrt{7} {\left(5 \, x + 1\right)} + 2 \, \sqrt{x^{2} + x + 1} {\left(5 \, \sqrt{7} - 14\right)} - 25 \, x - 5}{x + 3}\right) + 2 \, \sqrt{7} \log\left(\frac{\sqrt{7} {\left(2 \, x - 1\right)} + \sqrt{x^{2} + 2 \, x + 4} {\left(2 \, \sqrt{7} - 7\right)} - 4 \, x + 2}{x + 3}\right) - \frac{11}{2} \, \log\left(-x + \sqrt{x^{2} + 2 \, x + 4} - 1\right) - \frac{43}{8} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} + x + 1} - 1\right)"," ",0,"1/4*sqrt(x^2 + x + 1)*(2*x - 7) + 1/2*sqrt(x^2 + 2*x + 4)*(x - 3) + 2*sqrt(7)*log((2*sqrt(7)*(5*x + 1) + 2*sqrt(x^2 + x + 1)*(5*sqrt(7) - 14) - 25*x - 5)/(x + 3)) + 2*sqrt(7)*log((sqrt(7)*(2*x - 1) + sqrt(x^2 + 2*x + 4)*(2*sqrt(7) - 7) - 4*x + 2)/(x + 3)) - 11/2*log(-x + sqrt(x^2 + 2*x + 4) - 1) - 43/8*log(-2*x + 2*sqrt(x^2 + x + 1) - 1)","A",0
292,1,28,0,0.504922," ","integrate(1/x^3/(-1+x)^(1/2),x, algorithm=""fricas"")","\frac{3 \, x^{2} \arctan\left(\sqrt{x - 1}\right) + {\left(3 \, x + 2\right)} \sqrt{x - 1}}{4 \, x^{2}}"," ",0,"1/4*(3*x^2*arctan(sqrt(x - 1)) + (3*x + 2)*sqrt(x - 1))/x^2","A",0
293,1,17,0,0.520952," ","integrate(1/(1-3/x)^(4/3)/x^2,x, algorithm=""fricas"")","-\frac{x \left(\frac{x - 3}{x}\right)^{\frac{2}{3}}}{x - 3}"," ",0,"-x*((x - 3)/x)^(2/3)/(x - 3)","A",0
294,1,80,0,0.701873," ","integrate((-1+3*x)^(4/3)/x^2,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{3} x \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(3 \, x - 1\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) - 2 \, x \log\left({\left(3 \, x - 1\right)}^{\frac{2}{3}} - {\left(3 \, x - 1\right)}^{\frac{1}{3}} + 1\right) + 4 \, x \log\left({\left(3 \, x - 1\right)}^{\frac{1}{3}} + 1\right) - {\left(9 \, x + 1\right)} {\left(3 \, x - 1\right)}^{\frac{1}{3}}}{x}"," ",0,"-(4*sqrt(3)*x*arctan(2/3*sqrt(3)*(3*x - 1)^(1/3) - 1/3*sqrt(3)) - 2*x*log((3*x - 1)^(2/3) - (3*x - 1)^(1/3) + 1) + 4*x*log((3*x - 1)^(1/3) + 1) - (9*x + 1)*(3*x - 1)^(1/3))/x","A",0
295,1,29,0,0.621453," ","integrate((4-3*x)^(4/3)*x^2,x, algorithm=""fricas"")","-\frac{1}{455} \, {\left(315 \, x^{4} - 588 \, x^{3} + 32 \, x^{2} + 64 \, x + 256\right)} {\left(-3 \, x + 4\right)}^{\frac{1}{3}}"," ",0,"-1/455*(315*x^4 - 588*x^3 + 32*x^2 + 64*x + 256)*(-3*x + 4)^(1/3)","A",0
296,1,52,0,0.650571," ","integrate((1-2*x^(1/3))^(3/4)/x,x, algorithm=""fricas"")","4 \, {\left(-2 \, x^{\frac{1}{3}} + 1\right)}^{\frac{3}{4}} + 6 \, \arctan\left({\left(-2 \, x^{\frac{1}{3}} + 1\right)}^{\frac{1}{4}}\right) - 3 \, \log\left({\left(-2 \, x^{\frac{1}{3}} + 1\right)}^{\frac{1}{4}} + 1\right) + 3 \, \log\left({\left(-2 \, x^{\frac{1}{3}} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"4*(-2*x^(1/3) + 1)^(3/4) + 6*arctan((-2*x^(1/3) + 1)^(1/4)) - 3*log((-2*x^(1/3) + 1)^(1/4) + 1) + 3*log((-2*x^(1/3) + 1)^(1/4) - 1)","A",0
297,1,25,0,0.581365," ","integrate(x/(3-2*x^(1/2))^(3/4),x, algorithm=""fricas"")","-\frac{4}{65} \, {\left({\left(5 \, x + 24\right)} \sqrt{x} + 10 \, x + 144\right)} {\left(-2 \, \sqrt{x} + 3\right)}^{\frac{1}{4}}"," ",0,"-4/65*((5*x + 24)*sqrt(x) + 10*x + 144)*(-2*sqrt(x) + 3)^(1/4)","A",0
298,1,202,0,0.613021," ","integrate((-1+2*x^(1/2))^(5/4)/x^2,x, algorithm=""fricas"")","-\frac{20 \, \sqrt{2} x \arctan\left(\sqrt{2} \sqrt{\sqrt{2} {\left(2 \, \sqrt{x} - 1\right)}^{\frac{1}{4}} + \sqrt{2 \, \sqrt{x} - 1} + 1} - \sqrt{2} {\left(2 \, \sqrt{x} - 1\right)}^{\frac{1}{4}} - 1\right) + 20 \, \sqrt{2} x \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{-4 \, \sqrt{2} {\left(2 \, \sqrt{x} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{2 \, \sqrt{x} - 1} + 4} - \sqrt{2} {\left(2 \, \sqrt{x} - 1\right)}^{\frac{1}{4}} + 1\right) - 5 \, \sqrt{2} x \log\left(4 \, \sqrt{2} {\left(2 \, \sqrt{x} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{2 \, \sqrt{x} - 1} + 4\right) + 5 \, \sqrt{2} x \log\left(-4 \, \sqrt{2} {\left(2 \, \sqrt{x} - 1\right)}^{\frac{1}{4}} + 4 \, \sqrt{2 \, \sqrt{x} - 1} + 4\right) + 4 \, {\left(9 \, \sqrt{x} - 2\right)} {\left(2 \, \sqrt{x} - 1\right)}^{\frac{1}{4}}}{8 \, x}"," ",0,"-1/8*(20*sqrt(2)*x*arctan(sqrt(2)*sqrt(sqrt(2)*(2*sqrt(x) - 1)^(1/4) + sqrt(2*sqrt(x) - 1) + 1) - sqrt(2)*(2*sqrt(x) - 1)^(1/4) - 1) + 20*sqrt(2)*x*arctan(1/2*sqrt(2)*sqrt(-4*sqrt(2)*(2*sqrt(x) - 1)^(1/4) + 4*sqrt(2*sqrt(x) - 1) + 4) - sqrt(2)*(2*sqrt(x) - 1)^(1/4) + 1) - 5*sqrt(2)*x*log(4*sqrt(2)*(2*sqrt(x) - 1)^(1/4) + 4*sqrt(2*sqrt(x) - 1) + 4) + 5*sqrt(2)*x*log(-4*sqrt(2)*(2*sqrt(x) - 1)^(1/4) + 4*sqrt(2*sqrt(x) - 1) + 4) + 4*(9*sqrt(x) - 2)*(2*sqrt(x) - 1)^(1/4))/x","A",0
299,1,9,0,0.648855," ","integrate(x^6*(x^7+1)^(1/3),x, algorithm=""fricas"")","\frac{3}{28} \, {\left(x^{7} + 1\right)}^{\frac{4}{3}}"," ",0,"3/28*(x^7 + 1)^(4/3)","A",0
300,1,9,0,0.578191," ","integrate(x^6/(x^7+1)^(5/3),x, algorithm=""fricas"")","-\frac{3}{14 \, {\left(x^{7} + 1\right)}^{\frac{2}{3}}}"," ",0,"-3/14/(x^7 + 1)^(2/3)","A",0
301,1,66,0,0.573725," ","integrate(1/x/(2*x^7-27)^(2/3),x, algorithm=""fricas"")","\frac{1}{63} \, \sqrt{3} \arctan\left(\frac{2}{9} \, \sqrt{3} {\left(2 \, x^{7} - 27\right)}^{\frac{1}{3}} - \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{126} \, \log\left({\left(2 \, x^{7} - 27\right)}^{\frac{2}{3}} - 3 \, {\left(2 \, x^{7} - 27\right)}^{\frac{1}{3}} + 9\right) + \frac{1}{63} \, \log\left({\left(2 \, x^{7} - 27\right)}^{\frac{1}{3}} + 3\right)"," ",0,"1/63*sqrt(3)*arctan(2/9*sqrt(3)*(2*x^7 - 27)^(1/3) - 1/3*sqrt(3)) - 1/126*log((2*x^7 - 27)^(2/3) - 3*(2*x^7 - 27)^(1/3) + 9) + 1/63*log((2*x^7 - 27)^(1/3) + 3)","A",0
302,1,79,0,0.652224," ","integrate((x^7+1)^(2/3)/x^8,x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} x^{7} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(x^{7} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - x^{7} \log\left({\left(x^{7} + 1\right)}^{\frac{2}{3}} + {\left(x^{7} + 1\right)}^{\frac{1}{3}} + 1\right) + 2 \, x^{7} \log\left({\left(x^{7} + 1\right)}^{\frac{1}{3}} - 1\right) - 3 \, {\left(x^{7} + 1\right)}^{\frac{2}{3}}}{21 \, x^{7}}"," ",0,"1/21*(2*sqrt(3)*x^7*arctan(2/3*sqrt(3)*(x^7 + 1)^(1/3) + 1/3*sqrt(3)) - x^7*log((x^7 + 1)^(2/3) + (x^7 + 1)^(1/3) + 1) + 2*x^7*log((x^7 + 1)^(1/3) - 1) - 3*(x^7 + 1)^(2/3))/x^7","A",0
303,1,146,0,5.603143," ","integrate((4*x^4+3)^(1/4)/x^2,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{2} x \arctan\left(\frac{4}{3} \, \sqrt{2} {\left(4 \, x^{4} + 3\right)}^{\frac{1}{4}} x^{3} + \frac{2}{3} \, \sqrt{2} {\left(4 \, x^{4} + 3\right)}^{\frac{3}{4}} x\right) - \sqrt{2} x \log\left(-256 \, x^{8} - 192 \, x^{4} - 4 \, \sqrt{2} {\left(16 \, x^{5} + 3 \, x\right)} {\left(4 \, x^{4} + 3\right)}^{\frac{3}{4}} - 8 \, \sqrt{2} {\left(16 \, x^{7} + 9 \, x^{3}\right)} {\left(4 \, x^{4} + 3\right)}^{\frac{1}{4}} - 16 \, {\left(8 \, x^{6} + 3 \, x^{2}\right)} \sqrt{4 \, x^{4} + 3} - 9\right) + 8 \, {\left(4 \, x^{4} + 3\right)}^{\frac{1}{4}}}{8 \, x}"," ",0,"-1/8*(2*sqrt(2)*x*arctan(4/3*sqrt(2)*(4*x^4 + 3)^(1/4)*x^3 + 2/3*sqrt(2)*(4*x^4 + 3)^(3/4)*x) - sqrt(2)*x*log(-256*x^8 - 192*x^4 - 4*sqrt(2)*(16*x^5 + 3*x)*(4*x^4 + 3)^(3/4) - 8*sqrt(2)*(16*x^7 + 9*x^3)*(4*x^4 + 3)^(1/4) - 16*(8*x^6 + 3*x^2)*sqrt(4*x^4 + 3) - 9) + 8*(4*x^4 + 3)^(1/4))/x","B",0
304,1,105,0,0.696986," ","integrate(x^2*(4*x^4+3)^(5/4),x, algorithm=""fricas"")","\frac{45}{256} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(4 \, x^{4} + 3\right)}^{\frac{1}{4}}}{2 \, x}\right) + \frac{45}{512} \, \sqrt{2} \log\left(8 \, x^{4} + 4 \, \sqrt{2} {\left(4 \, x^{4} + 3\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{4 \, x^{4} + 3} x^{2} + 2 \, \sqrt{2} {\left(4 \, x^{4} + 3\right)}^{\frac{3}{4}} x + 3\right) + \frac{1}{32} \, {\left(16 \, x^{7} + 27 \, x^{3}\right)} {\left(4 \, x^{4} + 3\right)}^{\frac{1}{4}}"," ",0,"45/256*sqrt(2)*arctan(1/2*sqrt(2)*(4*x^4 + 3)^(1/4)/x) + 45/512*sqrt(2)*log(8*x^4 + 4*sqrt(2)*(4*x^4 + 3)^(1/4)*x^3 + 4*sqrt(4*x^4 + 3)*x^2 + 2*sqrt(2)*(4*x^4 + 3)^(3/4)*x + 3) + 1/32*(16*x^7 + 27*x^3)*(4*x^4 + 3)^(1/4)","A",0
305,1,105,0,0.514002," ","integrate(x^6*(4*x^4+3)^(1/4),x, algorithm=""fricas"")","-\frac{27}{1024} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(4 \, x^{4} + 3\right)}^{\frac{1}{4}}}{2 \, x}\right) + \frac{27}{2048} \, \sqrt{2} \log\left(8 \, x^{4} - 4 \, \sqrt{2} {\left(4 \, x^{4} + 3\right)}^{\frac{1}{4}} x^{3} + 4 \, \sqrt{4 \, x^{4} + 3} x^{2} - 2 \, \sqrt{2} {\left(4 \, x^{4} + 3\right)}^{\frac{3}{4}} x + 3\right) + \frac{1}{128} \, {\left(16 \, x^{7} + 3 \, x^{3}\right)} {\left(4 \, x^{4} + 3\right)}^{\frac{1}{4}}"," ",0,"-27/1024*sqrt(2)*arctan(1/2*sqrt(2)*(4*x^4 + 3)^(1/4)/x) + 27/2048*sqrt(2)*log(8*x^4 - 4*sqrt(2)*(4*x^4 + 3)^(1/4)*x^3 + 4*sqrt(4*x^4 + 3)*x^2 - 2*sqrt(2)*(4*x^4 + 3)^(3/4)*x + 3) + 1/128*(16*x^7 + 3*x^3)*(4*x^4 + 3)^(1/4)","A",0
306,1,99,0,0.736844," ","integrate((x*(-x^2+1))^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{44032959556 \, \sqrt{3} {\left(-x^{3} + x\right)}^{\frac{1}{3}} x - \sqrt{3} {\left(16754327161 \, x^{2} - 2707204793\right)} + 10524305234 \, \sqrt{3} {\left(-x^{3} + x\right)}^{\frac{2}{3}}}{81835897185 \, x^{2} - 1102302937}\right) + \frac{1}{2} \, {\left(-x^{3} + x\right)}^{\frac{1}{3}} x - \frac{1}{12} \, \log\left(3 \, {\left(-x^{3} + x\right)}^{\frac{1}{3}} x + 3 \, {\left(-x^{3} + x\right)}^{\frac{2}{3}} + 1\right)"," ",0,"-1/6*sqrt(3)*arctan((44032959556*sqrt(3)*(-x^3 + x)^(1/3)*x - sqrt(3)*(16754327161*x^2 - 2707204793) + 10524305234*sqrt(3)*(-x^3 + x)^(2/3))/(81835897185*x^2 - 1102302937)) + 1/2*(-x^3 + x)^(1/3)*x - 1/12*log(3*(-x^3 + x)^(1/3)*x + 3*(-x^3 + x)^(2/3) + 1)","A",0
307,1,87,0,74.920107," ","integrate(((1+x^(1/3))*x)^(1/2),x, algorithm=""fricas"")","\frac{35 \, x \log\left(\frac{32 \, x^{2} + 48 \, x^{\frac{5}{3}} + 2 \, {\left(16 \, x^{\frac{4}{3}} + 16 \, x + 3 \, x^{\frac{2}{3}}\right)} \sqrt{x^{\frac{4}{3}} + x} + 18 \, x^{\frac{4}{3}} + x}{x}\right) + 2 \, {\left(384 \, x^{2} + 3 \, {\left(16 \, x - 35\right)} x^{\frac{2}{3}} - 56 \, x^{\frac{4}{3}} + 70 \, x\right)} \sqrt{x^{\frac{4}{3}} + x}}{1280 \, x}"," ",0,"1/1280*(35*x*log((32*x^2 + 48*x^(5/3) + 2*(16*x^(4/3) + 16*x + 3*x^(2/3))*sqrt(x^(4/3) + x) + 18*x^(4/3) + x)/x) + 2*(384*x^2 + 3*(16*x - 35)*x^(2/3) - 56*x^(4/3) + 70*x)*sqrt(x^(4/3) + x))/x","A",0
308,1,49,0,0.608948," ","integrate(x^3/(x^4-1)/(2*x^8+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{3} \log\left(\frac{2 \, x^{4} - \sqrt{3} {\left(2 \, x^{4} + 1\right)} - \sqrt{2 \, x^{8} + 1} {\left(\sqrt{3} - 3\right)} + 1}{x^{4} - 1}\right)"," ",0,"1/12*sqrt(3)*log((2*x^4 - sqrt(3)*(2*x^4 + 1) - sqrt(2*x^8 + 1)*(sqrt(3) - 3) + 1)/(x^4 - 1))","A",0
309,1,47,0,0.717878," ","integrate(x^9*(x^10+x^5+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{120} \, {\left(8 \, x^{10} + 2 \, x^{5} + 5\right)} \sqrt{x^{10} + x^{5} + 1} + \frac{3}{80} \, \log\left(-2 \, x^{5} + 2 \, \sqrt{x^{10} + x^{5} + 1} - 1\right)"," ",0,"1/120*(8*x^10 + 2*x^5 + 5)*sqrt(x^10 + x^5 + 1) + 3/80*log(-2*x^5 + 2*sqrt(x^10 + x^5 + 1) - 1)","A",0
310,1,81,0,0.762233," ","integrate(1/x^5/(x^4+2*x^2+4)^(1/2),x, algorithm=""fricas"")","\frac{x^{4} \log\left(-x^{2} + \sqrt{x^{4} + 2 \, x^{2} + 4} + 2\right) - x^{4} \log\left(-x^{2} + \sqrt{x^{4} + 2 \, x^{2} + 4} - 2\right) + 6 \, x^{4} + 2 \, \sqrt{x^{4} + 2 \, x^{2} + 4} {\left(3 \, x^{2} - 4\right)}}{128 \, x^{4}}"," ",0,"1/128*(x^4*log(-x^2 + sqrt(x^4 + 2*x^2 + 4) + 2) - x^4*log(-x^2 + sqrt(x^4 + 2*x^2 + 4) - 2) + 6*x^4 + 2*sqrt(x^4 + 2*x^2 + 4)*(3*x^2 - 4))/x^4","A",0
311,1,59,0,0.611017," ","integrate((x^2-1)/x/(x^4+3*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(4 \, x^{4} + 11 \, x^{2} - \sqrt{x^{4} + 3 \, x^{2} + 1} {\left(4 \, x^{2} + 5\right)} + 5\right) + \frac{1}{2} \, \log\left(-x^{2} + \sqrt{x^{4} + 3 \, x^{2} + 1} + 1\right)"," ",0,"-1/2*log(4*x^4 + 11*x^2 - sqrt(x^4 + 3*x^2 + 1)*(4*x^2 + 5) + 5) + 1/2*log(-x^2 + sqrt(x^4 + 3*x^2 + 1) + 1)","B",0
312,1,13,0,0.603258," ","integrate((2*x^3-3*x)*(x^4-3*x^2)^(3/5),x, algorithm=""fricas"")","\frac{5}{16} \, {\left(x^{4} - 3 \, x^{2}\right)}^{\frac{8}{5}}"," ",0,"5/16*(x^4 - 3*x^2)^(8/5)","A",0
313,1,35,0,0.620642," ","integrate((-2*x^5+3*x^8-x^2*(3*x^3-1)^(2/3))/(3*x^3-1)^(3/4),x, algorithm=""fricas"")","\frac{4}{243} \, {\left(9 \, x^{6} - 6 \, x^{3} - 8\right)} {\left(3 \, x^{3} - 1\right)}^{\frac{1}{4}} - \frac{4}{33} \, {\left(3 \, x^{3} - 1\right)}^{\frac{11}{12}}"," ",0,"4/243*(9*x^6 - 6*x^3 - 8)*(3*x^3 - 1)^(1/4) - 4/33*(3*x^3 - 1)^(11/12)","A",0
314,1,232,0,3.666918," ","integrate(1/(x^3-1)/(x^3+2)^(1/3),x, algorithm=""fricas"")","\frac{1}{27} \cdot 3^{\frac{2}{3}} \log\left(\frac{9 \cdot 3^{\frac{1}{3}} {\left(x^{3} + 2\right)}^{\frac{1}{3}} x^{2} - 2 \cdot 3^{\frac{2}{3}} {\left(x^{3} - 1\right)} - 9 \, {\left(x^{3} + 2\right)}^{\frac{2}{3}} x}{x^{3} - 1}\right) - \frac{1}{54} \cdot 3^{\frac{2}{3}} \log\left(\frac{3 \cdot 3^{\frac{2}{3}} {\left(7 \, x^{4} + 2 \, x\right)} {\left(x^{3} + 2\right)}^{\frac{2}{3}} + 3^{\frac{1}{3}} {\left(31 \, x^{6} + 46 \, x^{3} + 4\right)} + 9 \, {\left(5 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} + 2\right)}^{\frac{1}{3}}}{x^{6} - 2 \, x^{3} + 1}\right) - \frac{1}{9} \cdot 3^{\frac{1}{6}} \arctan\left(\frac{3^{\frac{1}{6}} {\left(12 \cdot 3^{\frac{2}{3}} {\left(7 \, x^{7} - 5 \, x^{4} - 2 \, x\right)} {\left(x^{3} + 2\right)}^{\frac{2}{3}} - 3^{\frac{1}{3}} {\left(127 \, x^{9} + 402 \, x^{6} + 192 \, x^{3} + 8\right)} - 18 \, {\left(31 \, x^{8} + 46 \, x^{5} + 4 \, x^{2}\right)} {\left(x^{3} + 2\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(251 \, x^{9} + 462 \, x^{6} + 24 \, x^{3} - 8\right)}}\right)"," ",0,"1/27*3^(2/3)*log((9*3^(1/3)*(x^3 + 2)^(1/3)*x^2 - 2*3^(2/3)*(x^3 - 1) - 9*(x^3 + 2)^(2/3)*x)/(x^3 - 1)) - 1/54*3^(2/3)*log((3*3^(2/3)*(7*x^4 + 2*x)*(x^3 + 2)^(2/3) + 3^(1/3)*(31*x^6 + 46*x^3 + 4) + 9*(5*x^5 + 4*x^2)*(x^3 + 2)^(1/3))/(x^6 - 2*x^3 + 1)) - 1/9*3^(1/6)*arctan(1/3*3^(1/6)*(12*3^(2/3)*(7*x^7 - 5*x^4 - 2*x)*(x^3 + 2)^(2/3) - 3^(1/3)*(127*x^9 + 402*x^6 + 192*x^3 + 8) - 18*(31*x^8 + 46*x^5 + 4*x^2)*(x^3 + 2)^(1/3))/(251*x^9 + 462*x^6 + 24*x^3 - 8))","B",0
315,1,388,0,6.774240," ","integrate(1/(x^4+1)/(x^4+2)^(1/4),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(x^{4} + 2\right)}^{\frac{3}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 2\right)}^{\frac{5}{4}} - {\left(2 \, x^{5} - \sqrt{2} {\left(x^{4} + 2\right)}^{\frac{3}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 2\right)}^{\frac{5}{4}} + 4 \, x\right)} \sqrt{\frac{x^{4} + \sqrt{2} {\left(x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{x^{4} + 2} x^{2} + \sqrt{2} {\left(x^{4} + 2\right)}^{\frac{3}{4}} x + 1}{x^{4} + 1}}}{2 \, {\left(x^{5} + 2 \, x\right)}}\right) + \frac{1}{4} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(x^{4} + 2\right)}^{\frac{3}{4}} x^{2} - \sqrt{2} {\left(x^{4} + 2\right)}^{\frac{5}{4}} + {\left(2 \, x^{5} + \sqrt{2} {\left(x^{4} + 2\right)}^{\frac{3}{4}} x^{2} + \sqrt{2} {\left(x^{4} + 2\right)}^{\frac{5}{4}} + 4 \, x\right)} \sqrt{\frac{x^{4} - \sqrt{2} {\left(x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{x^{4} + 2} x^{2} - \sqrt{2} {\left(x^{4} + 2\right)}^{\frac{3}{4}} x + 1}{x^{4} + 1}}}{2 \, {\left(x^{5} + 2 \, x\right)}}\right) + \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} + \sqrt{2} {\left(x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{x^{4} + 2} x^{2} + \sqrt{2} {\left(x^{4} + 2\right)}^{\frac{3}{4}} x + 1\right)}}{x^{4} + 1}\right) - \frac{1}{16} \, \sqrt{2} \log\left(\frac{4 \, {\left(x^{4} - \sqrt{2} {\left(x^{4} + 2\right)}^{\frac{1}{4}} x^{3} + 2 \, \sqrt{x^{4} + 2} x^{2} - \sqrt{2} {\left(x^{4} + 2\right)}^{\frac{3}{4}} x + 1\right)}}{x^{4} + 1}\right)"," ",0,"1/4*sqrt(2)*arctan(1/2*(sqrt(2)*(x^4 + 2)^(3/4)*x^2 - sqrt(2)*(x^4 + 2)^(5/4) - (2*x^5 - sqrt(2)*(x^4 + 2)^(3/4)*x^2 - sqrt(2)*(x^4 + 2)^(5/4) + 4*x)*sqrt((x^4 + sqrt(2)*(x^4 + 2)^(1/4)*x^3 + 2*sqrt(x^4 + 2)*x^2 + sqrt(2)*(x^4 + 2)^(3/4)*x + 1)/(x^4 + 1)))/(x^5 + 2*x)) + 1/4*sqrt(2)*arctan(1/2*(sqrt(2)*(x^4 + 2)^(3/4)*x^2 - sqrt(2)*(x^4 + 2)^(5/4) + (2*x^5 + sqrt(2)*(x^4 + 2)^(3/4)*x^2 + sqrt(2)*(x^4 + 2)^(5/4) + 4*x)*sqrt((x^4 - sqrt(2)*(x^4 + 2)^(1/4)*x^3 + 2*sqrt(x^4 + 2)*x^2 - sqrt(2)*(x^4 + 2)^(3/4)*x + 1)/(x^4 + 1)))/(x^5 + 2*x)) + 1/16*sqrt(2)*log(4*(x^4 + sqrt(2)*(x^4 + 2)^(1/4)*x^3 + 2*sqrt(x^4 + 2)*x^2 + sqrt(2)*(x^4 + 2)^(3/4)*x + 1)/(x^4 + 1)) - 1/16*sqrt(2)*log(4*(x^4 - sqrt(2)*(x^4 + 2)^(1/4)*x^3 + 2*sqrt(x^4 + 2)*x^2 - sqrt(2)*(x^4 + 2)^(3/4)*x + 1)/(x^4 + 1))","B",0
316,1,86,0,0.859001," ","integrate((x^3-1)/(x^3+2)^(1/3),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(x^{3} + 2\right)}^{\frac{2}{3}} x + \frac{5}{9} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} x + 2 \, \sqrt{3} {\left(x^{3} + 2\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{5}{9} \, \log\left(-\frac{x - {\left(x^{3} + 2\right)}^{\frac{1}{3}}}{x}\right) - \frac{5}{18} \, \log\left(\frac{x^{2} + {\left(x^{3} + 2\right)}^{\frac{1}{3}} x + {\left(x^{3} + 2\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/3*(x^3 + 2)^(2/3)*x + 5/9*sqrt(3)*arctan(1/3*(sqrt(3)*x + 2*sqrt(3)*(x^3 + 2)^(1/3))/x) + 5/9*log(-(x - (x^3 + 2)^(1/3))/x) - 5/18*log((x^2 + (x^3 + 2)^(1/3)*x + (x^3 + 2)^(2/3))/x^2)","A",0
317,1,242,0,11.890024," ","integrate((x^4+1)^(3/4)/(x^4+2)^2,x, algorithm=""fricas"")","-\frac{12 \cdot 8^{\frac{3}{4}} {\left(x^{4} + 2\right)} \arctan\left(-\frac{8^{\frac{3}{4}} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 4 \cdot 8^{\frac{1}{4}} {\left(x^{4} + 1\right)}^{\frac{3}{4}} x - 2^{\frac{1}{4}} {\left(8^{\frac{3}{4}} \sqrt{x^{4} + 1} x^{2} + 8^{\frac{1}{4}} {\left(3 \, x^{4} + 2\right)}\right)}}{2 \, {\left(x^{4} + 2\right)}}\right) - 3 \cdot 8^{\frac{3}{4}} {\left(x^{4} + 2\right)} \log\left(\frac{8 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} + 8 \cdot 8^{\frac{1}{4}} \sqrt{x^{4} + 1} x^{2} + 8^{\frac{3}{4}} {\left(3 \, x^{4} + 2\right)} + 16 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{x^{4} + 2}\right) + 3 \cdot 8^{\frac{3}{4}} {\left(x^{4} + 2\right)} \log\left(\frac{8 \, \sqrt{2} {\left(x^{4} + 1\right)}^{\frac{1}{4}} x^{3} - 8 \cdot 8^{\frac{1}{4}} \sqrt{x^{4} + 1} x^{2} - 8^{\frac{3}{4}} {\left(3 \, x^{4} + 2\right)} + 16 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{x^{4} + 2}\right) - 64 \, {\left(x^{4} + 1\right)}^{\frac{3}{4}} x}{512 \, {\left(x^{4} + 2\right)}}"," ",0,"-1/512*(12*8^(3/4)*(x^4 + 2)*arctan(-1/2*(8^(3/4)*(x^4 + 1)^(1/4)*x^3 + 4*8^(1/4)*(x^4 + 1)^(3/4)*x - 2^(1/4)*(8^(3/4)*sqrt(x^4 + 1)*x^2 + 8^(1/4)*(3*x^4 + 2)))/(x^4 + 2)) - 3*8^(3/4)*(x^4 + 2)*log((8*sqrt(2)*(x^4 + 1)^(1/4)*x^3 + 8*8^(1/4)*sqrt(x^4 + 1)*x^2 + 8^(3/4)*(3*x^4 + 2) + 16*(x^4 + 1)^(3/4)*x)/(x^4 + 2)) + 3*8^(3/4)*(x^4 + 2)*log((8*sqrt(2)*(x^4 + 1)^(1/4)*x^3 - 8*8^(1/4)*sqrt(x^4 + 1)*x^2 - 8^(3/4)*(3*x^4 + 2) + 16*(x^4 + 1)^(3/4)*x)/(x^4 + 2)) - 64*(x^4 + 1)^(3/4)*x)/(x^4 + 2)","B",0
318,1,40,0,0.658179," ","integrate((x^5-2)^2/(x^5+3)^(16/5),x, algorithm=""fricas"")","\frac{{\left(97 \, x^{11} + 462 \, x^{6} + 1188 \, x\right)} {\left(x^{5} + 3\right)}^{\frac{4}{5}}}{891 \, {\left(x^{15} + 9 \, x^{10} + 27 \, x^{5} + 27\right)}}"," ",0,"1/891*(97*x^11 + 462*x^6 + 1188*x)*(x^5 + 3)^(4/5)/(x^15 + 9*x^10 + 27*x^5 + 27)","A",0
319,1,458,0,15.932870," ","integrate(1/(x^3+3*x^2+3*x)/(x^3+3*x^2+3*x+3)^(1/3),x, algorithm=""fricas"")","-\frac{1}{54} \cdot 3^{\frac{2}{3}} \log\left(\frac{3 \cdot 3^{\frac{2}{3}} {\left(7 \, x^{4} + 28 \, x^{3} + 42 \, x^{2} + 30 \, x + 9\right)} {\left(x^{3} + 3 \, x^{2} + 3 \, x + 3\right)}^{\frac{2}{3}} + 3^{\frac{1}{3}} {\left(31 \, x^{6} + 186 \, x^{5} + 465 \, x^{4} + 666 \, x^{3} + 603 \, x^{2} + 324 \, x + 81\right)} + 9 \, {\left(5 \, x^{5} + 25 \, x^{4} + 50 \, x^{3} + 54 \, x^{2} + 33 \, x + 9\right)} {\left(x^{3} + 3 \, x^{2} + 3 \, x + 3\right)}^{\frac{1}{3}}}{x^{6} + 6 \, x^{5} + 15 \, x^{4} + 18 \, x^{3} + 9 \, x^{2}}\right) + \frac{1}{27} \cdot 3^{\frac{2}{3}} \log\left(\frac{2 \cdot 3^{\frac{2}{3}} {\left(x^{3} + 3 \, x^{2} + 3 \, x\right)} - 9 \cdot 3^{\frac{1}{3}} {\left(x^{3} + 3 \, x^{2} + 3 \, x + 3\right)}^{\frac{1}{3}} {\left(x^{2} + 2 \, x + 1\right)} + 9 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 3\right)}^{\frac{2}{3}} {\left(x + 1\right)}}{x^{3} + 3 \, x^{2} + 3 \, x}\right) - \frac{1}{9} \cdot 3^{\frac{1}{6}} \arctan\left(\frac{3^{\frac{1}{6}} {\left(12 \cdot 3^{\frac{2}{3}} {\left(7 \, x^{7} + 49 \, x^{6} + 147 \, x^{5} + 240 \, x^{4} + 225 \, x^{3} + 117 \, x^{2} + 27 \, x\right)} {\left(x^{3} + 3 \, x^{2} + 3 \, x + 3\right)}^{\frac{2}{3}} - 3^{\frac{1}{3}} {\left(127 \, x^{9} + 1143 \, x^{8} + 4572 \, x^{7} + 11070 \, x^{6} + 18414 \, x^{5} + 22032 \, x^{4} + 18900 \, x^{3} + 11178 \, x^{2} + 4131 \, x + 729\right)} - 18 \, {\left(31 \, x^{8} + 248 \, x^{7} + 868 \, x^{6} + 1782 \, x^{5} + 2400 \, x^{4} + 2196 \, x^{3} + 1332 \, x^{2} + 486 \, x + 81\right)} {\left(x^{3} + 3 \, x^{2} + 3 \, x + 3\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(251 \, x^{9} + 2259 \, x^{8} + 9036 \, x^{7} + 21546 \, x^{6} + 34398 \, x^{5} + 38556 \, x^{4} + 30348 \, x^{3} + 16038 \, x^{2} + 5103 \, x + 729\right)}}\right)"," ",0,"-1/54*3^(2/3)*log((3*3^(2/3)*(7*x^4 + 28*x^3 + 42*x^2 + 30*x + 9)*(x^3 + 3*x^2 + 3*x + 3)^(2/3) + 3^(1/3)*(31*x^6 + 186*x^5 + 465*x^4 + 666*x^3 + 603*x^2 + 324*x + 81) + 9*(5*x^5 + 25*x^4 + 50*x^3 + 54*x^2 + 33*x + 9)*(x^3 + 3*x^2 + 3*x + 3)^(1/3))/(x^6 + 6*x^5 + 15*x^4 + 18*x^3 + 9*x^2)) + 1/27*3^(2/3)*log((2*3^(2/3)*(x^3 + 3*x^2 + 3*x) - 9*3^(1/3)*(x^3 + 3*x^2 + 3*x + 3)^(1/3)*(x^2 + 2*x + 1) + 9*(x^3 + 3*x^2 + 3*x + 3)^(2/3)*(x + 1))/(x^3 + 3*x^2 + 3*x)) - 1/9*3^(1/6)*arctan(1/3*3^(1/6)*(12*3^(2/3)*(7*x^7 + 49*x^6 + 147*x^5 + 240*x^4 + 225*x^3 + 117*x^2 + 27*x)*(x^3 + 3*x^2 + 3*x + 3)^(2/3) - 3^(1/3)*(127*x^9 + 1143*x^8 + 4572*x^7 + 11070*x^6 + 18414*x^5 + 22032*x^4 + 18900*x^3 + 11178*x^2 + 4131*x + 729) - 18*(31*x^8 + 248*x^7 + 868*x^6 + 1782*x^5 + 2400*x^4 + 2196*x^3 + 1332*x^2 + 486*x + 81)*(x^3 + 3*x^2 + 3*x + 3)^(1/3))/(251*x^9 + 2259*x^8 + 9036*x^7 + 21546*x^6 + 34398*x^5 + 38556*x^4 + 30348*x^3 + 16038*x^2 + 5103*x + 729))","B",0
320,1,18,0,1.105459," ","integrate((-x^2+1)/(x^2+1)/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} x}{\sqrt{x^{4} + 1}}\right)"," ",0,"1/2*sqrt(2)*arctan(sqrt(2)*x/sqrt(x^4 + 1))","A",0
321,1,42,0,0.959782," ","integrate((x^2+1)/(-x^2+1)/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{x^{4} + 2 \, \sqrt{2} \sqrt{x^{4} + 1} x + 2 \, x^{2} + 1}{x^{4} - 2 \, x^{2} + 1}\right)"," ",0,"1/4*sqrt(2)*log((x^4 + 2*sqrt(2)*sqrt(x^4 + 1)*x + 2*x^2 + 1)/(x^4 - 2*x^2 + 1))","B",0
322,1,49,0,0.750436," ","integrate((x^2+1)/x/(x^4+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(2 \, x^{4} - x^{2} - \sqrt{x^{4} + 1} {\left(2 \, x^{2} - 1\right)} + 1\right) + \frac{1}{2} \, \log\left(-x^{2} + \sqrt{x^{4} + 1} - 1\right)"," ",0,"-1/2*log(2*x^4 - x^2 - sqrt(x^4 + 1)*(2*x^2 - 1) + 1) + 1/2*log(-x^2 + sqrt(x^4 + 1) - 1)","B",0
323,1,47,0,0.984327," ","integrate((x^2-1)/x/(x^4+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(2 \, x^{4} + x^{2} - \sqrt{x^{4} + 1} {\left(2 \, x^{2} + 1\right)} + 1\right) + \frac{1}{2} \, \log\left(-x^{2} + \sqrt{x^{4} + 1} + 1\right)"," ",0,"-1/2*log(2*x^4 + x^2 - sqrt(x^4 + 1)*(2*x^2 + 1) + 1) + 1/2*log(-x^2 + sqrt(x^4 + 1) + 1)","B",0
324,1,45,0,0.824744," ","integrate((x^2+1)/(-x^2+1)/(x^4+x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \log\left(\frac{x^{4} + 2 \, \sqrt{3} \sqrt{x^{4} + x^{2} + 1} x + 4 \, x^{2} + 1}{x^{4} - 2 \, x^{2} + 1}\right)"," ",0,"1/6*sqrt(3)*log((x^4 + 2*sqrt(3)*sqrt(x^4 + x^2 + 1)*x + 4*x^2 + 1)/(x^4 - 2*x^2 + 1))","B",0
325,1,13,0,0.722015," ","integrate((-x^2+1)/(x^2+1)/(x^4+x^2+1)^(1/2),x, algorithm=""fricas"")","\arctan\left(\frac{x}{\sqrt{x^{4} + x^{2} + 1}}\right)"," ",0,"arctan(x/sqrt(x^4 + x^2 + 1))","A",0
326,1,14,0,0.850086," ","integrate((x^4-1)/x^2/(x^4+x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{x^{4} + x^{2} + 1}}{x}"," ",0,"sqrt(x^4 + x^2 + 1)/x","A",0
327,1,252,0,1.660173," ","integrate((-x^2+1)/(2*a*x+x^2+1)/(2*a*x^3+x^4+2*b*x^2+2*a*x+1)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{2} \log\left(\frac{4 \, a^{3} x^{3} + {\left(a^{2} + 2 \, b - 2\right)} x^{4} + 4 \, a^{3} x + 2 \, {\left(2 \, a^{4} + 5 \, a^{2} - 2 \, {\left(2 \, a^{2} + 3\right)} b + 4 \, b^{2} + 2\right)} x^{2} + a^{2} - \frac{2 \, \sqrt{2} \sqrt{2 \, a x^{3} + x^{4} + 2 \, b x^{2} + 2 \, a x + 1} {\left({\left(a b - a\right)} x^{2} + a b - 2 \, {\left(a^{2} - {\left(a^{2} + 2\right)} b + b^{2} + 1\right)} x - a\right)}}{\sqrt{b - 1}} + 2 \, b - 2}{4 \, a x^{3} + x^{4} + 2 \, {\left(2 \, a^{2} + 1\right)} x^{2} + 4 \, a x + 1}\right)}{4 \, \sqrt{b - 1}}, \frac{1}{2} \, \sqrt{2} \sqrt{-\frac{1}{b - 1}} \arctan\left(\frac{\sqrt{2} \sqrt{2 \, a x^{3} + x^{4} + 2 \, b x^{2} + 2 \, a x + 1} {\left(b - 1\right)} \sqrt{-\frac{1}{b - 1}}}{a x^{2} + 2 \, {\left(a^{2} - b + 1\right)} x + a}\right)\right]"," ",0,"[1/4*sqrt(2)*log((4*a^3*x^3 + (a^2 + 2*b - 2)*x^4 + 4*a^3*x + 2*(2*a^4 + 5*a^2 - 2*(2*a^2 + 3)*b + 4*b^2 + 2)*x^2 + a^2 - 2*sqrt(2)*sqrt(2*a*x^3 + x^4 + 2*b*x^2 + 2*a*x + 1)*((a*b - a)*x^2 + a*b - 2*(a^2 - (a^2 + 2)*b + b^2 + 1)*x - a)/sqrt(b - 1) + 2*b - 2)/(4*a*x^3 + x^4 + 2*(2*a^2 + 1)*x^2 + 4*a*x + 1))/sqrt(b - 1), 1/2*sqrt(2)*sqrt(-1/(b - 1))*arctan(sqrt(2)*sqrt(2*a*x^3 + x^4 + 2*b*x^2 + 2*a*x + 1)*(b - 1)*sqrt(-1/(b - 1))/(a*x^2 + 2*(a^2 - b + 1)*x + a))]","A",0
328,1,62,0,1.993295," ","integrate(1/(x^4+1)/(-x^2+(x^4+1)^(1/2))^(1/2),x, algorithm=""fricas"")","-\frac{1}{4} \, \arctan\left(\frac{4 \, {\left(10 \, x^{7} - 6 \, x^{3} + {\left(7 \, x^{5} - x\right)} \sqrt{x^{4} + 1}\right)} \sqrt{-x^{2} + \sqrt{x^{4} + 1}}}{17 \, x^{8} - 46 \, x^{4} + 1}\right)"," ",0,"-1/4*arctan(4*(10*x^7 - 6*x^3 + (7*x^5 - x)*sqrt(x^4 + 1))*sqrt(-x^2 + sqrt(x^4 + 1))/(17*x^8 - 46*x^4 + 1))","B",0
329,-2,0,0,0.000000," ","integrate(1/(1+x^(2*n))/(-x^2+(1+x^(2*n))^(1/n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
330,1,10,0,0.918883," ","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
331,1,10,0,0.844112," ","integrate(cos(x)^3,x, algorithm=""fricas"")","\frac{1}{3} \, {\left(\cos\left(x\right)^{2} + 2\right)} \sin\left(x\right)"," ",0,"1/3*(cos(x)^2 + 2)*sin(x)","A",0
332,1,19,0,0.793743," ","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
333,1,25,0,0.674092," ","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
334,1,31,0,0.966475," ","integrate(sin(x)^8,x, algorithm=""fricas"")","\frac{1}{384} \, {\left(48 \, \cos\left(x\right)^{7} - 200 \, \cos\left(x\right)^{5} + 326 \, \cos\left(x\right)^{3} - 279 \, \cos\left(x\right)\right)} \sin\left(x\right) + \frac{35}{128} \, x"," ",0,"1/384*(48*cos(x)^7 - 200*cos(x)^5 + 326*cos(x)^3 - 279*cos(x))*sin(x) + 35/128*x","A",0
335,1,37,0,0.622155," ","integrate(cos(1/4*pi+1/2*x)^4,x, algorithm=""fricas"")","\frac{1}{4} \, {\left(2 \, \cos\left(\frac{1}{4} \, \pi + \frac{1}{2} \, x\right)^{3} + 3 \, \cos\left(\frac{1}{4} \, \pi + \frac{1}{2} \, x\right)\right)} \sin\left(\frac{1}{4} \, \pi + \frac{1}{2} \, x\right) + \frac{3}{8} \, x"," ",0,"1/4*(2*cos(1/4*pi + 1/2*x)^3 + 3*cos(1/4*pi + 1/2*x))*sin(1/4*pi + 1/2*x) + 3/8*x","B",0
336,1,22,0,0.777564," ","integrate(-cos(5/12*pi+3*x)^3,x, algorithm=""fricas"")","-\frac{1}{9} \, {\left(\cos\left(\frac{5}{12} \, \pi + 3 \, x\right)^{2} + 2\right)} \sin\left(\frac{5}{12} \, \pi + 3 \, x\right)"," ",0,"-1/9*(cos(5/12*pi + 3*x)^2 + 2)*sin(5/12*pi + 3*x)","A",0
337,1,37,0,0.477482," ","integrate(1/sin(x)^6,x, algorithm=""fricas"")","-\frac{8 \, \cos\left(x\right)^{5} - 20 \, \cos\left(x\right)^{3} + 15 \, \cos\left(x\right)}{15 \, {\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}"," ",0,"-1/15*(8*cos(x)^5 - 20*cos(x)^3 + 15*cos(x))/((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x))","B",0
338,1,93,0,1.003102," ","integrate(csc(x)^7,x, algorithm=""fricas"")","\frac{30 \, \cos\left(x\right)^{5} - 80 \, \cos\left(x\right)^{3} - 15 \, {\left(\cos\left(x\right)^{6} - 3 \, \cos\left(x\right)^{4} + 3 \, \cos\left(x\right)^{2} - 1\right)} \log\left(\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) + 15 \, {\left(\cos\left(x\right)^{6} - 3 \, \cos\left(x\right)^{4} + 3 \, \cos\left(x\right)^{2} - 1\right)} \log\left(-\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) + 66 \, \cos\left(x\right)}{96 \, {\left(\cos\left(x\right)^{6} - 3 \, \cos\left(x\right)^{4} + 3 \, \cos\left(x\right)^{2} - 1\right)}}"," ",0,"1/96*(30*cos(x)^5 - 80*cos(x)^3 - 15*(cos(x)^6 - 3*cos(x)^4 + 3*cos(x)^2 - 1)*log(1/2*cos(x) + 1/2) + 15*(cos(x)^6 - 3*cos(x)^4 + 3*cos(x)^2 - 1)*log(-1/2*cos(x) + 1/2) + 66*cos(x))/(cos(x)^6 - 3*cos(x)^4 + 3*cos(x)^2 - 1)","B",0
339,1,40,0,0.805078," ","integrate(1/cos(x)^12,x, algorithm=""fricas"")","\frac{{\left(256 \, \cos\left(x\right)^{10} + 128 \, \cos\left(x\right)^{8} + 96 \, \cos\left(x\right)^{6} + 80 \, \cos\left(x\right)^{4} + 70 \, \cos\left(x\right)^{2} + 63\right)} \sin\left(x\right)}{693 \, \cos\left(x\right)^{11}}"," ",0,"1/693*(256*cos(x)^10 + 128*cos(x)^8 + 96*cos(x)^6 + 80*cos(x)^4 + 70*cos(x)^2 + 63)*sin(x)/cos(x)^11","A",0
340,1,70,0,0.740135," ","integrate(1/cos(1/4*pi+3*x)^3,x, algorithm=""fricas"")","\frac{\cos\left(\frac{1}{4} \, \pi + 3 \, x\right)^{2} \log\left(\sin\left(\frac{1}{4} \, \pi + 3 \, x\right) + 1\right) - \cos\left(\frac{1}{4} \, \pi + 3 \, x\right)^{2} \log\left(-\sin\left(\frac{1}{4} \, \pi + 3 \, x\right) + 1\right) + 2 \, \sin\left(\frac{1}{4} \, \pi + 3 \, x\right)}{12 \, \cos\left(\frac{1}{4} \, \pi + 3 \, x\right)^{2}}"," ",0,"1/12*(cos(1/4*pi + 3*x)^2*log(sin(1/4*pi + 3*x) + 1) - cos(1/4*pi + 3*x)^2*log(-sin(1/4*pi + 3*x) + 1) + 2*sin(1/4*pi + 3*x))/cos(1/4*pi + 3*x)^2","B",0
341,1,18,0,0.793602," ","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
342,1,40,0,0.938080," ","integrate(1/tan(x)^5,x, algorithm=""fricas"")","\frac{2 \, \log\left(\frac{\tan\left(x\right)^{2}}{\tan\left(x\right)^{2} + 1}\right) \tan\left(x\right)^{4} + 3 \, \tan\left(x\right)^{4} + 2 \, \tan\left(x\right)^{2} - 1}{4 \, \tan\left(x\right)^{4}}"," ",0,"1/4*(2*log(tan(x)^2/(tan(x)^2 + 1))*tan(x)^4 + 3*tan(x)^4 + 2*tan(x)^2 - 1)/tan(x)^4","B",0
343,1,70,0,0.699564," ","integrate(cot(1/4*pi+1/3*x)^4,x, algorithm=""fricas"")","\frac{4 \, \cos\left(\frac{1}{2} \, \pi + \frac{2}{3} \, x\right)^{2} + {\left(x \cos\left(\frac{1}{2} \, \pi + \frac{2}{3} \, x\right) - x\right)} \sin\left(\frac{1}{2} \, \pi + \frac{2}{3} \, x\right) + 2 \, \cos\left(\frac{1}{2} \, \pi + \frac{2}{3} \, x\right) - 2}{{\left(\cos\left(\frac{1}{2} \, \pi + \frac{2}{3} \, x\right) - 1\right)} \sin\left(\frac{1}{2} \, \pi + \frac{2}{3} \, x\right)}"," ",0,"(4*cos(1/2*pi + 2/3*x)^2 + (x*cos(1/2*pi + 2/3*x) - x)*sin(1/2*pi + 2/3*x) + 2*cos(1/2*pi + 2/3*x) - 2)/((cos(1/2*pi + 2/3*x) - 1)*sin(1/2*pi + 2/3*x))","B",0
344,1,37,0,0.971969," ","integrate(cos(x)^6*sin(x)^4,x, algorithm=""fricas"")","\frac{1}{1280} \, {\left(128 \, \cos\left(x\right)^{9} - 176 \, \cos\left(x\right)^{7} + 8 \, \cos\left(x\right)^{5} + 10 \, \cos\left(x\right)^{3} + 15 \, \cos\left(x\right)\right)} \sin\left(x\right) + \frac{3}{256} \, x"," ",0,"1/1280*(128*cos(x)^9 - 176*cos(x)^7 + 8*cos(x)^5 + 10*cos(x)^3 + 15*cos(x))*sin(x) + 3/256*x","A",0
345,1,25,0,0.915709," ","integrate(cos(x)^6*sin(x)^7,x, algorithm=""fricas"")","\frac{1}{13} \, \cos\left(x\right)^{13} - \frac{3}{11} \, \cos\left(x\right)^{11} + \frac{1}{3} \, \cos\left(x\right)^{9} - \frac{1}{7} \, \cos\left(x\right)^{7}"," ",0,"1/13*cos(x)^13 - 3/11*cos(x)^11 + 1/3*cos(x)^9 - 1/7*cos(x)^7","A",0
346,1,38,0,0.949718," ","integrate(sin(x)^11/cos(x),x, algorithm=""fricas"")","\frac{1}{10} \, \cos\left(x\right)^{10} - \frac{5}{8} \, \cos\left(x\right)^{8} + \frac{5}{3} \, \cos\left(x\right)^{6} - \frac{5}{2} \, \cos\left(x\right)^{4} + \frac{5}{2} \, \cos\left(x\right)^{2} - \log\left(-\cos\left(x\right)\right)"," ",0,"1/10*cos(x)^10 - 5/8*cos(x)^8 + 5/3*cos(x)^6 - 5/2*cos(x)^4 + 5/2*cos(x)^2 - log(-cos(x))","A",0
347,1,55,0,0.633454," ","integrate(1/cos(x)^6/sin(x)^6,x, algorithm=""fricas"")","-\frac{256 \, \cos\left(x\right)^{10} - 640 \, \cos\left(x\right)^{8} + 480 \, \cos\left(x\right)^{6} - 80 \, \cos\left(x\right)^{4} - 10 \, \cos\left(x\right)^{2} - 3}{15 \, {\left(\cos\left(x\right)^{9} - 2 \, \cos\left(x\right)^{7} + \cos\left(x\right)^{5}\right)} \sin\left(x\right)}"," ",0,"-1/15*(256*cos(x)^10 - 640*cos(x)^8 + 480*cos(x)^6 - 80*cos(x)^4 - 10*cos(x)^2 - 3)/((cos(x)^9 - 2*cos(x)^7 + cos(x)^5)*sin(x))","A",0
348,1,19,0,0.699298," ","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
349,1,31,0,1.002158," ","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
350,1,43,0,0.790564," ","integrate(cos(x)^6*sin(x)^6,x, algorithm=""fricas"")","-\frac{1}{3072} \, {\left(256 \, \cos\left(x\right)^{11} - 640 \, \cos\left(x\right)^{9} + 432 \, \cos\left(x\right)^{7} - 8 \, \cos\left(x\right)^{5} - 10 \, \cos\left(x\right)^{3} - 15 \, \cos\left(x\right)\right)} \sin\left(x\right) + \frac{5}{1024} \, x"," ",0,"-1/3072*(256*cos(x)^11 - 640*cos(x)^9 + 432*cos(x)^7 - 8*cos(x)^5 - 10*cos(x)^3 - 15*cos(x))*sin(x) + 5/1024*x","A",0
351,1,55,0,0.779608," ","integrate(cos(x)^8*sin(x)^8,x, algorithm=""fricas"")","\frac{1}{98304} \, {\left(6144 \, \cos\left(x\right)^{15} - 21504 \, \cos\left(x\right)^{13} + 25856 \, \cos\left(x\right)^{11} - 10880 \, \cos\left(x\right)^{9} + 48 \, \cos\left(x\right)^{7} + 56 \, \cos\left(x\right)^{5} + 70 \, \cos\left(x\right)^{3} + 105 \, \cos\left(x\right)\right)} \sin\left(x\right) + \frac{35}{32768} \, x"," ",0,"1/98304*(6144*cos(x)^15 - 21504*cos(x)^13 + 25856*cos(x)^11 - 10880*cos(x)^9 + 48*cos(x)^7 + 56*cos(x)^5 + 70*cos(x)^3 + 105*cos(x))*sin(x) + 35/32768*x","A",0
352,0,0,0,0.894961," ","integrate(cos(x)^(2*m)*sin(x)^(2*m),x, algorithm=""fricas"")","{\rm integral}\left(\cos\left(x\right)^{2 \, m} \sin\left(x\right)^{2 \, m}, x\right)"," ",0,"integral(cos(x)^(2*m)*sin(x)^(2*m), x)","F",0
353,1,71,0,0.855515," ","integrate(1/cos(1/4*pi+2*x)/sin(1/4*pi+2*x)^3,x, algorithm=""fricas"")","-\frac{{\left(\cos\left(\frac{1}{4} \, \pi + 2 \, x\right)^{2} - 1\right)} \log\left(\cos\left(\frac{1}{4} \, \pi + 2 \, x\right)^{2}\right) - {\left(\cos\left(\frac{1}{4} \, \pi + 2 \, x\right)^{2} - 1\right)} \log\left(-\frac{1}{4} \, \cos\left(\frac{1}{4} \, \pi + 2 \, x\right)^{2} + \frac{1}{4}\right) - 1}{4 \, {\left(\cos\left(\frac{1}{4} \, \pi + 2 \, x\right)^{2} - 1\right)}}"," ",0,"-1/4*((cos(1/4*pi + 2*x)^2 - 1)*log(cos(1/4*pi + 2*x)^2) - (cos(1/4*pi + 2*x)^2 - 1)*log(-1/4*cos(1/4*pi + 2*x)^2 + 1/4) - 1)/(cos(1/4*pi + 2*x)^2 - 1)","B",0
354,1,14,0,0.886813," ","integrate(sec(x)^2*tan(x)^2,x, algorithm=""fricas"")","-\frac{{\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)}{3 \, \cos\left(x\right)^{3}}"," ",0,"-1/3*(cos(x)^2 - 1)*sin(x)/cos(x)^3","B",0
355,1,22,0,0.839160," ","integrate(cot(x)^3*csc(x),x, algorithm=""fricas"")","\frac{3 \, \cos\left(x\right)^{2} - 2}{3 \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)}"," ",0,"1/3*(3*cos(x)^2 - 2)/((cos(x)^2 - 1)*sin(x))","B",0
356,1,6,0,0.616823," ","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
357,1,68,0,0.729364," ","integrate(cot(x)^2*csc(x)^3,x, algorithm=""fricas"")","-\frac{2 \, \cos\left(x\right)^{3} - {\left(\cos\left(x\right)^{4} - 2 \, \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)^{4} - 2 \, \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)}{16 \, {\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)}}"," ",0,"-1/16*(2*cos(x)^3 - (cos(x)^4 - 2*cos(x)^2 + 1)*log(1/2*cos(x) + 1/2) + (cos(x)^4 - 2*cos(x)^2 + 1)*log(-1/2*cos(x) + 1/2) + 2*cos(x))/(cos(x)^4 - 2*cos(x)^2 + 1)","B",0
358,1,30,0,0.687130," ","integrate(cos(x)^3/sin(x)^7,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
359,1,20,0,1.007941," ","integrate(sec(x)^(3/2)*tan(x)^5,x, algorithm=""fricas"")","\frac{2 \, {\left(77 \, \cos\left(x\right)^{4} - 66 \, \cos\left(x\right)^{2} + 21\right)}}{231 \, \cos\left(x\right)^{\frac{11}{2}}}"," ",0,"2/231*(77*cos(x)^4 - 66*cos(x)^2 + 21)/cos(x)^(11/2)","A",0
360,1,27,0,0.861522," ","integrate(sec(x)^4*tan(x)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(4 \, \cos\left(x\right)^{4} + \cos\left(x\right)^{2} - 5\right)} \sqrt{\frac{\sin\left(x\right)}{\cos\left(x\right)}}}{45 \, \cos\left(x\right)^{4}}"," ",0,"-2/45*(4*cos(x)^4 + cos(x)^2 - 5)*sqrt(sin(x)/cos(x))/cos(x)^4","B",0
361,1,93,0,0.678252," ","integrate(cot(x)^4*csc(x)^3,x, algorithm=""fricas"")","\frac{6 \, \cos\left(x\right)^{5} + 16 \, \cos\left(x\right)^{3} - 3 \, {\left(\cos\left(x\right)^{6} - 3 \, \cos\left(x\right)^{4} + 3 \, \cos\left(x\right)^{2} - 1\right)} \log\left(\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) + 3 \, {\left(\cos\left(x\right)^{6} - 3 \, \cos\left(x\right)^{4} + 3 \, \cos\left(x\right)^{2} - 1\right)} \log\left(-\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) - 6 \, \cos\left(x\right)}{96 \, {\left(\cos\left(x\right)^{6} - 3 \, \cos\left(x\right)^{4} + 3 \, \cos\left(x\right)^{2} - 1\right)}}"," ",0,"1/96*(6*cos(x)^5 + 16*cos(x)^3 - 3*(cos(x)^6 - 3*cos(x)^4 + 3*cos(x)^2 - 1)*log(1/2*cos(x) + 1/2) + 3*(cos(x)^6 - 3*cos(x)^4 + 3*cos(x)^2 - 1)*log(-1/2*cos(x) + 1/2) - 6*cos(x))/(cos(x)^6 - 3*cos(x)^4 + 3*cos(x)^2 - 1)","B",0
362,1,82,0,0.733582," ","integrate(sec(1/4*pi+1/2*x)^3*tan(1/4*pi+1/2*x)^2,x, algorithm=""fricas"")","-\frac{\cos\left(\frac{1}{4} \, \pi + \frac{1}{2} \, x\right)^{4} \log\left(\sin\left(\frac{1}{4} \, \pi + \frac{1}{2} \, x\right) + 1\right) - \cos\left(\frac{1}{4} \, \pi + \frac{1}{2} \, x\right)^{4} \log\left(-\sin\left(\frac{1}{4} \, \pi + \frac{1}{2} \, x\right) + 1\right) + 2 \, {\left(\cos\left(\frac{1}{4} \, \pi + \frac{1}{2} \, x\right)^{2} - 2\right)} \sin\left(\frac{1}{4} \, \pi + \frac{1}{2} \, x\right)}{8 \, \cos\left(\frac{1}{4} \, \pi + \frac{1}{2} \, x\right)^{4}}"," ",0,"-1/8*(cos(1/4*pi + 1/2*x)^4*log(sin(1/4*pi + 1/2*x) + 1) - cos(1/4*pi + 1/2*x)^4*log(-sin(1/4*pi + 1/2*x) + 1) + 2*(cos(1/4*pi + 1/2*x)^2 - 2)*sin(1/4*pi + 1/2*x))/cos(1/4*pi + 1/2*x)^4","A",0
363,1,178,0,0.948869," ","integrate((1+cot(x)^3)*(a*sec(x)^2-sin(2*x))^2,x, algorithm=""fricas"")","\frac{24 \, \cos\left(x\right)^{9} + 24 \, \cos\left(x\right)^{7} + 3 \, {\left(4 \, {\left(8 \, a + 1\right)} x - 27\right)} \cos\left(x\right)^{5} + 3 \, {\left(4 \, a^{2} - 4 \, {\left(8 \, a + 1\right)} x + 11\right)} \cos\left(x\right)^{3} - 12 \, {\left({\left(a^{2} - 4 \, a\right)} \cos\left(x\right)^{5} - {\left(a^{2} - 4 \, a\right)} \cos\left(x\right)^{3}\right)} \log\left(\cos\left(x\right)^{2}\right) + 12 \, {\left({\left(a^{2} + 4\right)} \cos\left(x\right)^{5} - {\left(a^{2} + 4\right)} \cos\left(x\right)^{3}\right)} \log\left(-\frac{1}{4} \, \cos\left(x\right)^{2} + \frac{1}{4}\right) - 4 \, {\left(6 \, \cos\left(x\right)^{8} - 9 \, \cos\left(x\right)^{6} - {\left(4 \, a^{2} - 24 \, a - 3\right)} \cos\left(x\right)^{4} + 2 \, a^{2} \cos\left(x\right)^{2} + 2 \, a^{2}\right)} \sin\left(x\right)}{24 \, {\left(\cos\left(x\right)^{5} - \cos\left(x\right)^{3}\right)}}"," ",0,"1/24*(24*cos(x)^9 + 24*cos(x)^7 + 3*(4*(8*a + 1)*x - 27)*cos(x)^5 + 3*(4*a^2 - 4*(8*a + 1)*x + 11)*cos(x)^3 - 12*((a^2 - 4*a)*cos(x)^5 - (a^2 - 4*a)*cos(x)^3)*log(cos(x)^2) + 12*((a^2 + 4)*cos(x)^5 - (a^2 + 4)*cos(x)^3)*log(-1/4*cos(x)^2 + 1/4) - 4*(6*cos(x)^8 - 9*cos(x)^6 - (4*a^2 - 24*a - 3)*cos(x)^4 + 2*a^2*cos(x)^2 + 2*a^2)*sin(x))/(cos(x)^5 - cos(x)^3)","B",0
364,1,54,0,1.013086," ","integrate((4-3*cos(x))*(1-1/2*sin(x))^4,x, algorithm=""fricas"")","\frac{3}{8} \, \cos\left(x\right)^{4} - \frac{2}{3} \, \cos\left(x\right)^{3} - \frac{15}{4} \, \cos\left(x\right)^{2} - \frac{1}{160} \, {\left(6 \, \cos\left(x\right)^{4} - 10 \, \cos\left(x\right)^{3} - 252 \, \cos\left(x\right)^{2} + 505 \, \cos\left(x\right) + 726\right)} \sin\left(x\right) + \frac{227}{32} \, x + 10 \, \cos\left(x\right)"," ",0,"3/8*cos(x)^4 - 2/3*cos(x)^3 - 15/4*cos(x)^2 - 1/160*(6*cos(x)^4 - 10*cos(x)^3 - 252*cos(x)^2 + 505*cos(x) + 726)*sin(x) + 227/32*x + 10*cos(x)","A",0
365,1,71,0,0.856215," ","integrate((1/2-3*cot(x))*(3-2*cot(x))^3,x, algorithm=""fricas"")","\frac{4 \, {\left(\cos\left(2 \, x\right) - 1\right)} \log\left(-\frac{1}{2} \, \cos\left(2 \, x\right) + \frac{1}{2}\right) \sin\left(2 \, x\right) - 296 \, \cos\left(2 \, x\right)^{2} - {\left(285 \, x \cos\left(2 \, x\right) - 285 \, x + 224\right)} \sin\left(2 \, x\right) + 32 \, \cos\left(2 \, x\right) + 328}{2 \, {\left(\cos\left(2 \, x\right) - 1\right)} \sin\left(2 \, x\right)}"," ",0,"1/2*(4*(cos(2*x) - 1)*log(-1/2*cos(2*x) + 1/2)*sin(2*x) - 296*cos(2*x)^2 - (285*x*cos(2*x) - 285*x + 224)*sin(2*x) + 32*cos(2*x) + 328)/((cos(2*x) - 1)*sin(2*x))","B",0
366,1,26,0,0.677112," ","integrate(cos(5*x)/cos(x)^5,x, algorithm=""fricas"")","\frac{48 \, x \cos\left(x\right)^{3} - 5 \, {\left(10 \, \cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)}{3 \, \cos\left(x\right)^{3}}"," ",0,"1/3*(48*x*cos(x)^3 - 5*(10*cos(x)^2 - 1)*sin(x))/cos(x)^3","A",0
367,1,27,0,0.798600," ","integrate(cos(4*x)/cos(x),x, algorithm=""fricas"")","\frac{8}{3} \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right) + \frac{1}{2} \, \log\left(\sin\left(x\right) + 1\right) - \frac{1}{2} \, \log\left(-\sin\left(x\right) + 1\right)"," ",0,"8/3*(cos(x)^2 - 1)*sin(x) + 1/2*log(sin(x) + 1) - 1/2*log(-sin(x) + 1)","B",0
368,1,18,0,0.593817," ","integrate(cos(x)*cos(4*x),x, algorithm=""fricas"")","\frac{1}{15} \, {\left(24 \, \cos\left(x\right)^{4} - 8 \, \cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)"," ",0,"1/15*(24*cos(x)^4 - 8*cos(x)^2 - 1)*sin(x)","A",0
369,1,43,0,0.913414," ","integrate(cos(4*x)/cos(x)^5,x, algorithm=""fricas"")","\frac{35 \, \cos\left(x\right)^{4} \log\left(\sin\left(x\right) + 1\right) - 35 \, \cos\left(x\right)^{4} \log\left(-\sin\left(x\right) + 1\right) - 2 \, {\left(29 \, \cos\left(x\right)^{2} - 2\right)} \sin\left(x\right)}{16 \, \cos\left(x\right)^{4}}"," ",0,"1/16*(35*cos(x)^4*log(sin(x) + 1) - 35*cos(x)^4*log(-sin(x) + 1) - 2*(29*cos(x)^2 - 2)*sin(x))/cos(x)^4","B",0
370,1,31,0,0.847860," ","integrate(cos(x)^4*cos(4*x),x, algorithm=""fricas"")","\frac{1}{48} \, {\left(48 \, \cos\left(x\right)^{7} - 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*(48*cos(x)^7 - 8*cos(x)^5 + 2*cos(x)^3 + 3*cos(x))*sin(x) + 1/16*x","A",0
371,1,43,0,0.972877," ","integrate(cos(5*x)/sin(x)^5,x, algorithm=""fricas"")","-\frac{24 \, \cos\left(x\right)^{2} - 64 \, {\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \log\left(\frac{1}{2} \, \sin\left(x\right)\right) - 23}{4 \, {\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)}}"," ",0,"-1/4*(24*cos(x)^2 - 64*(cos(x)^4 - 2*cos(x)^2 + 1)*log(1/2*sin(x)) - 23)/(cos(x)^4 - 2*cos(x)^2 + 1)","B",0
372,1,25,0,0.674473," ","integrate(sin(4*x)/sin(x)^4,x, algorithm=""fricas"")","-\frac{2 \, {\left(4 \, {\left(\cos\left(x\right)^{2} - 1\right)} \log\left(\frac{1}{2} \, \sin\left(x\right)\right) - 1\right)}}{\cos\left(x\right)^{2} - 1}"," ",0,"-2*(4*(cos(x)^2 - 1)*log(1/2*sin(x)) - 1)/(cos(x)^2 - 1)","B",0
373,1,64,0,1.124061," ","integrate(cos(x)/sin(x)/(2+sin(2*x)),x, algorithm=""fricas"")","-\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{4 \, \sqrt{3} \cos\left(x\right) \sin\left(x\right) + \sqrt{3}}{3 \, {\left(2 \, \cos\left(x\right)^{2} - 1\right)}}\right) - \frac{1}{8} \, \log\left(-\cos\left(x\right)^{4} + \cos\left(x\right)^{2} + 2 \, \cos\left(x\right) \sin\left(x\right) + 1\right) + \frac{1}{4} \, \log\left(-\frac{1}{4} \, \cos\left(x\right)^{2} + \frac{1}{4}\right)"," ",0,"-1/12*sqrt(3)*arctan(1/3*(4*sqrt(3)*cos(x)*sin(x) + sqrt(3))/(2*cos(x)^2 - 1)) - 1/8*log(-cos(x)^4 + cos(x)^2 + 2*cos(x)*sin(x) + 1) + 1/4*log(-1/4*cos(x)^2 + 1/4)","A",0
374,1,17,0,0.812386," ","integrate(cos(x)^2/cos(3*x)/sin(x),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(4 \, \cos\left(x\right)^{2} - 3\right) + \log\left(\frac{1}{2} \, \sin\left(x\right)\right)"," ",0,"-1/2*log(4*cos(x)^2 - 3) + log(1/2*sin(x))","A",0
375,1,11,0,1.084346," ","integrate(sin(2*x)/(cos(x)^4+sin(x)^4),x, algorithm=""fricas"")","-\arctan\left(2 \, \cos\left(x\right)^{2} - 1\right)"," ",0,"-arctan(2*cos(x)^2 - 1)","A",0
376,1,38,0,1.252342," ","integrate(1/(4+sin(x)+cos(x)*3^(1/2)),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{2 \, {\left({\left(4 \, \sqrt{3} \cos\left(x\right) + 3\right)} \sin\left(x\right) + \sqrt{3} \cos\left(x\right) + 3\right)}}{3 \, {\left(4 \, \cos\left(x\right)^{2} - 3\right)}}\right)"," ",0,"1/6*sqrt(3)*arctan(2/3*((4*sqrt(3)*cos(x) + 3)*sin(x) + sqrt(3)*cos(x) + 3)/(4*cos(x)^2 - 3))","A",0
377,1,66,0,1.041533," ","integrate(1/(3+4*cos(x)+4*sin(x)),x, algorithm=""fricas"")","\frac{1}{46} \, \sqrt{23} \log\left(-\frac{6 \, \sqrt{23} \cos\left(x\right)^{2} + 8 \, {\left(\sqrt{23} - 3\right)} \cos\left(x\right) - 2 \, {\left(4 \, \sqrt{23} - 7 \, \cos\left(x\right) + 12\right)} \sin\left(x\right) - 3 \, \sqrt{23} - 48}{8 \, {\left(4 \, \cos\left(x\right) + 3\right)} \sin\left(x\right) + 24 \, \cos\left(x\right) + 25}\right)"," ",0,"1/46*sqrt(23)*log(-(6*sqrt(23)*cos(x)^2 + 8*(sqrt(23) - 3)*cos(x) - 2*(4*sqrt(23) - 7*cos(x) + 12)*sin(x) - 3*sqrt(23) - 48)/(8*(4*cos(x) + 3)*sin(x) + 24*cos(x) + 25))","B",0
378,1,21,0,1.244062," ","integrate(1/(4-3*cos(x)^2+5*sin(x)^2),x, algorithm=""fricas"")","-\frac{1}{6} \, \arctan\left(\frac{10 \, \cos\left(x\right)^{2} - 9}{6 \, \cos\left(x\right) \sin\left(x\right)}\right)"," ",0,"-1/6*arctan(1/6*(10*cos(x)^2 - 9)/(cos(x)*sin(x)))","A",0
379,1,46,0,0.997417," ","integrate(1/(4+4*cot(x)+tan(x)),x, algorithm=""fricas"")","-\frac{3 \, {\left(\tan\left(x\right) + 2\right)} \log\left(\frac{\tan\left(x\right)^{2} + 4 \, \tan\left(x\right) + 4}{\tan\left(x\right)^{2} + 1}\right) - 8 \, {\left(x - 1\right)} \tan\left(x\right) - 16 \, x - 4}{50 \, {\left(\tan\left(x\right) + 2\right)}}"," ",0,"-1/50*(3*(tan(x) + 2)*log((tan(x)^2 + 4*tan(x) + 4)/(tan(x)^2 + 1)) - 8*(x - 1)*tan(x) - 16*x - 4)/(tan(x) + 2)","B",0
380,1,61,0,0.879510," ","integrate(1/(2*sec(x)+sin(x))^2,x, algorithm=""fricas"")","\frac{4 \, {\left(\sqrt{15} \cos\left(x\right) \sin\left(x\right) + 2 \, \sqrt{15}\right)} \arctan\left(\frac{8 \, \sqrt{15} \cos\left(x\right) \sin\left(x\right) + \sqrt{15}}{15 \, {\left(2 \, \cos\left(x\right)^{2} - 1\right)}}\right) + 15 \, \cos\left(x\right)^{2} - 120}{225 \, {\left(\cos\left(x\right) \sin\left(x\right) + 2\right)}}"," ",0,"1/225*(4*(sqrt(15)*cos(x)*sin(x) + 2*sqrt(15))*arctan(1/15*(8*sqrt(15)*cos(x)*sin(x) + sqrt(15))/(2*cos(x)^2 - 1)) + 15*cos(x)^2 - 120)/(cos(x)*sin(x) + 2)","A",0
381,1,58,0,1.241814," ","integrate(1/(cos(x)+2*sec(x))^2,x, algorithm=""fricas"")","-\frac{{\left(\sqrt{6} \cos\left(x\right)^{2} + 2 \, \sqrt{6}\right)} \arctan\left(\frac{5 \, \sqrt{6} \cos\left(x\right)^{2} - 2 \, \sqrt{6}}{12 \, \cos\left(x\right) \sin\left(x\right)}\right) - 12 \, \cos\left(x\right) \sin\left(x\right)}{72 \, {\left(\cos\left(x\right)^{2} + 2\right)}}"," ",0,"-1/72*((sqrt(6)*cos(x)^2 + 2*sqrt(6))*arctan(1/12*(5*sqrt(6)*cos(x)^2 - 2*sqrt(6))/(cos(x)*sin(x))) - 12*cos(x)*sin(x))/(cos(x)^2 + 2)","A",0
382,1,77,0,1.085644," ","integrate((5-tan(x)-6*tan(x)^2)/(1+3*tan(x))^3,x, algorithm=""fricas"")","-\frac{9 \, {\left(134 \, x - 1\right)} \tan\left(x\right)^{2} + 56 \, {\left(9 \, \tan\left(x\right)^{2} + 6 \, \tan\left(x\right) + 1\right)} \log\left(\frac{9 \, \tan\left(x\right)^{2} + 6 \, \tan\left(x\right) + 1}{\tan\left(x\right)^{2} + 1}\right) + 12 \, {\left(67 \, x + 72\right)} \tan\left(x\right) + 134 \, x + 639}{500 \, {\left(9 \, \tan\left(x\right)^{2} + 6 \, \tan\left(x\right) + 1\right)}}"," ",0,"-1/500*(9*(134*x - 1)*tan(x)^2 + 56*(9*tan(x)^2 + 6*tan(x) + 1)*log((9*tan(x)^2 + 6*tan(x) + 1)/(tan(x)^2 + 1)) + 12*(67*x + 72)*tan(x) + 134*x + 639)/(9*tan(x)^2 + 6*tan(x) + 1)","B",0
383,1,19,0,1.030366," ","integrate(cos(x)^2/cos(3*x),x, algorithm=""fricas"")","\frac{1}{4} \, \log\left(2 \, \sin\left(x\right) + 1\right) - \frac{1}{4} \, \log\left(-2 \, \sin\left(x\right) + 1\right)"," ",0,"1/4*log(2*sin(x) + 1) - 1/4*log(-2*sin(x) + 1)","B",0
384,1,33,0,1.223278," ","integrate(sin(x)/cos(2*x),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(-\frac{2 \, \cos\left(x\right)^{2} + 2 \, \sqrt{2} \cos\left(x\right) + 1}{2 \, \cos\left(x\right)^{2} - 1}\right)"," ",0,"1/4*sqrt(2)*log(-(2*cos(x)^2 + 2*sqrt(2)*cos(x) + 1)/(2*cos(x)^2 - 1))","B",0
385,1,26,0,0.812052," ","integrate(sin(x)^2/cos(2*x),x, algorithm=""fricas"")","-\frac{1}{2} \, x + \frac{1}{8} \, \log\left(2 \, \cos\left(x\right) \sin\left(x\right) + 1\right) - \frac{1}{8} \, \log\left(-2 \, \cos\left(x\right) \sin\left(x\right) + 1\right)"," ",0,"-1/2*x + 1/8*log(2*cos(x)*sin(x) + 1) - 1/8*log(-2*cos(x)*sin(x) + 1)","A",0
386,1,19,0,1.228611," ","integrate(sin(x)^3/cos(3*x),x, algorithm=""fricas"")","-\frac{1}{24} \, \log\left(4 \, \cos\left(x\right)^{2} - 3\right) + \frac{1}{3} \, \log\left(-\cos\left(x\right)\right)"," ",0,"-1/24*log(4*cos(x)^2 - 3) + 1/3*log(-cos(x))","A",0
387,1,19,0,1.185607," ","integrate(cos(x)/sin(3*x),x, algorithm=""fricas"")","-\frac{1}{6} \, \log\left(4 \, \cos\left(x\right)^{2} - 1\right) + \frac{1}{3} \, \log\left(\frac{1}{2} \, \sin\left(x\right)\right)"," ",0,"-1/6*log(4*cos(x)^2 - 1) + 1/3*log(1/2*sin(x))","A",0
388,1,50,0,1.022111," ","integrate(sin(x)/sin(4*x),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{2} \log\left(-\frac{2 \, \cos\left(x\right)^{2} - 2 \, \sqrt{2} \sin\left(x\right) - 3}{2 \, \cos\left(x\right)^{2} - 1}\right) - \frac{1}{8} \, \log\left(\sin\left(x\right) + 1\right) + \frac{1}{8} \, \log\left(-\sin\left(x\right) + 1\right)"," ",0,"1/8*sqrt(2)*log(-(2*cos(x)^2 - 2*sqrt(2)*sin(x) - 3)/(2*cos(x)^2 - 1)) - 1/8*log(sin(x) + 1) + 1/8*log(-sin(x) + 1)","B",0
389,1,50,0,1.014579," ","integrate(sin(x)^3/sin(4*x),x, algorithm=""fricas"")","\frac{1}{16} \, \sqrt{2} \log\left(-\frac{2 \, \cos\left(x\right)^{2} - 2 \, \sqrt{2} \sin\left(x\right) - 3}{2 \, \cos\left(x\right)^{2} - 1}\right) - \frac{1}{8} \, \log\left(\sin\left(x\right) + 1\right) + \frac{1}{8} \, \log\left(-\sin\left(x\right) + 1\right)"," ",0,"1/16*sqrt(2)*log(-(2*cos(x)^2 - 2*sqrt(2)*sin(x) - 3)/(2*cos(x)^2 - 1)) - 1/8*log(sin(x) + 1) + 1/8*log(-sin(x) + 1)","B",0
390,1,34,0,0.927305," ","integrate((1+sin(2*x))^(1/2),x, algorithm=""fricas"")","-\frac{{\left(\cos\left(2 \, x\right) - \sin\left(2 \, x\right) + 1\right)} \sqrt{\sin\left(2 \, x\right) + 1}}{\cos\left(2 \, x\right) + \sin\left(2 \, x\right) + 1}"," ",0,"-(cos(2*x) - sin(2*x) + 1)*sqrt(sin(2*x) + 1)/(cos(2*x) + sin(2*x) + 1)","B",0
391,1,35,0,0.789497," ","integrate((1-sin(2*x))^(1/2),x, algorithm=""fricas"")","\frac{{\left(\cos\left(2 \, x\right) + \sin\left(2 \, x\right) + 1\right)} \sqrt{-\sin\left(2 \, x\right) + 1}}{\cos\left(2 \, x\right) - \sin\left(2 \, x\right) + 1}"," ",0,"(cos(2*x) + sin(2*x) + 1)*sqrt(-sin(2*x) + 1)/(cos(2*x) - sin(2*x) + 1)","B",0
392,1,55,0,1.154816," ","integrate(1/(1+cos(2*x))^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(-\frac{\cos\left(2 \, x\right)^{2} - 2 \, \sqrt{2} \sqrt{\cos\left(2 \, x\right) + 1} \sin\left(2 \, x\right) - 2 \, \cos\left(2 \, x\right) - 3}{\cos\left(2 \, x\right)^{2} + 2 \, \cos\left(2 \, x\right) + 1}\right)"," ",0,"1/4*sqrt(2)*log(-(cos(2*x)^2 - 2*sqrt(2)*sqrt(cos(2*x) + 1)*sin(2*x) - 2*cos(2*x) - 3)/(cos(2*x)^2 + 2*cos(2*x) + 1))","B",0
393,1,58,0,0.835022," ","integrate(1/(1-cos(2*x))^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(-\frac{{\left(\cos\left(2 \, x\right) + 3\right)} \sin\left(2 \, x\right) - 2 \, {\left(\sqrt{2} \cos\left(2 \, x\right) + \sqrt{2}\right)} \sqrt{-\cos\left(2 \, x\right) + 1}}{{\left(\cos\left(2 \, x\right) - 1\right)} \sin\left(2 \, x\right)}\right)"," ",0,"1/4*sqrt(2)*log(-((cos(2*x) + 3)*sin(2*x) - 2*(sqrt(2)*cos(2*x) + sqrt(2))*sqrt(-cos(2*x) + 1))/((cos(2*x) - 1)*sin(2*x)))","B",0
394,1,107,0,0.919547," ","integrate(1/(1-cos(3*x))^(3/2),x, algorithm=""fricas"")","\frac{{\left(\sqrt{2} \cos\left(3 \, x\right) - \sqrt{2}\right)} \log\left(-\frac{{\left(\cos\left(3 \, x\right) + 3\right)} \sin\left(3 \, x\right) - 2 \, {\left(\sqrt{2} \cos\left(3 \, x\right) + \sqrt{2}\right)} \sqrt{-\cos\left(3 \, x\right) + 1}}{{\left(\cos\left(3 \, x\right) - 1\right)} \sin\left(3 \, x\right)}\right) \sin\left(3 \, x\right) + 4 \, {\left(\cos\left(3 \, x\right) + 1\right)} \sqrt{-\cos\left(3 \, x\right) + 1}}{24 \, {\left(\cos\left(3 \, x\right) - 1\right)} \sin\left(3 \, x\right)}"," ",0,"1/24*((sqrt(2)*cos(3*x) - sqrt(2))*log(-((cos(3*x) + 3)*sin(3*x) - 2*(sqrt(2)*cos(3*x) + sqrt(2))*sqrt(-cos(3*x) + 1))/((cos(3*x) - 1)*sin(3*x)))*sin(3*x) + 4*(cos(3*x) + 1)*sqrt(-cos(3*x) + 1))/((cos(3*x) - 1)*sin(3*x))","B",0
395,1,71,0,0.791993," ","integrate((1-sin(2/3*x))^(5/2),x, algorithm=""fricas"")","-\frac{{\left(3 \, \cos\left(\frac{2}{3} \, x\right)^{3} - 11 \, \cos\left(\frac{2}{3} \, x\right)^{2} + {\left(3 \, \cos\left(\frac{2}{3} \, x\right)^{2} + 14 \, \cos\left(\frac{2}{3} \, x\right) - 32\right)} \sin\left(\frac{2}{3} \, x\right) - 46 \, \cos\left(\frac{2}{3} \, x\right) - 32\right)} \sqrt{-\sin\left(\frac{2}{3} \, x\right) + 1}}{5 \, {\left(\cos\left(\frac{2}{3} \, x\right) - \sin\left(\frac{2}{3} \, x\right) + 1\right)}}"," ",0,"-1/5*(3*cos(2/3*x)^3 - 11*cos(2/3*x)^2 + (3*cos(2/3*x)^2 + 14*cos(2/3*x) - 32)*sin(2/3*x) - 46*cos(2/3*x) - 32)*sqrt(-sin(2/3*x) + 1)/(cos(2/3*x) - sin(2/3*x) + 1)","A",0
396,1,40,0,0.799351," ","integrate(cos(x)*(-cos(x)^2+2*(1+2*sin(x))^(1/4))/(1+2*sin(x))^(3/2),x, algorithm=""fricas"")","-\frac{{\left(\cos\left(x\right)^{2} + 2 \, \sin\left(x\right) - 2\right)} \sqrt{2 \, \sin\left(x\right) + 1} + 12 \, {\left(2 \, \sin\left(x\right) + 1\right)}^{\frac{3}{4}}}{3 \, {\left(2 \, \sin\left(x\right) + 1\right)}}"," ",0,"-1/3*((cos(x)^2 + 2*sin(x) - 2)*sqrt(2*sin(x) + 1) + 12*(2*sin(x) + 1)^(3/4))/(2*sin(x) + 1)","A",0
397,1,180,0,0.916044," ","integrate(tan(x)^(1/2),x, algorithm=""fricas"")","-\sqrt{2} \arctan\left(\sqrt{2} \sqrt{\frac{\sqrt{2} \sqrt{\frac{\sin\left(x\right)}{\cos\left(x\right)}} \cos\left(x\right) + \cos\left(x\right) + \sin\left(x\right)}{\cos\left(x\right)}} - \sqrt{2} \sqrt{\frac{\sin\left(x\right)}{\cos\left(x\right)}} - 1\right) - \sqrt{2} \arctan\left(\sqrt{2} \sqrt{-\frac{\sqrt{2} \sqrt{\frac{\sin\left(x\right)}{\cos\left(x\right)}} \cos\left(x\right) - \cos\left(x\right) - \sin\left(x\right)}{\cos\left(x\right)}} - \sqrt{2} \sqrt{\frac{\sin\left(x\right)}{\cos\left(x\right)}} + 1\right) - \frac{1}{4} \, \sqrt{2} \log\left(\frac{4 \, {\left(\sqrt{2} \sqrt{\frac{\sin\left(x\right)}{\cos\left(x\right)}} \cos\left(x\right) + \cos\left(x\right) + \sin\left(x\right)\right)}}{\cos\left(x\right)}\right) + \frac{1}{4} \, \sqrt{2} \log\left(-\frac{4 \, {\left(\sqrt{2} \sqrt{\frac{\sin\left(x\right)}{\cos\left(x\right)}} \cos\left(x\right) - \cos\left(x\right) - \sin\left(x\right)\right)}}{\cos\left(x\right)}\right)"," ",0,"-sqrt(2)*arctan(sqrt(2)*sqrt((sqrt(2)*sqrt(sin(x)/cos(x))*cos(x) + cos(x) + sin(x))/cos(x)) - sqrt(2)*sqrt(sin(x)/cos(x)) - 1) - sqrt(2)*arctan(sqrt(2)*sqrt(-(sqrt(2)*sqrt(sin(x)/cos(x))*cos(x) - cos(x) - sin(x))/cos(x)) - sqrt(2)*sqrt(sin(x)/cos(x)) + 1) - 1/4*sqrt(2)*log(4*(sqrt(2)*sqrt(sin(x)/cos(x))*cos(x) + cos(x) + sin(x))/cos(x)) + 1/4*sqrt(2)*log(-4*(sqrt(2)*sqrt(sin(x)/cos(x))*cos(x) - cos(x) - sin(x))/cos(x))","B",0
398,1,54,0,0.953865," ","integrate(1/tan(5*x)^(1/3),x, algorithm=""fricas"")","\frac{1}{10} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} \tan\left(5 \, x\right)^{\frac{2}{3}} - \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{20} \, \log\left(\tan\left(5 \, x\right)^{\frac{4}{3}} - \tan\left(5 \, x\right)^{\frac{2}{3}} + 1\right) + \frac{1}{10} \, \log\left(\tan\left(5 \, x\right)^{\frac{2}{3}} + 1\right)"," ",0,"1/10*sqrt(3)*arctan(2/3*sqrt(3)*tan(5*x)^(2/3) - 1/3*sqrt(3)) - 1/20*log(tan(5*x)^(4/3) - tan(5*x)^(2/3) + 1) + 1/10*log(tan(5*x)^(2/3) + 1)","A",0
399,1,541,0,0.915246," ","integrate(1/(4+3*tan(2*x))^(3/2),x, algorithm=""fricas"")","-\frac{36 \, {\left(7 \, \sqrt{10} \sqrt{5} \cos\left(2 \, x\right)^{2} + 24 \, \sqrt{10} \sqrt{5} \cos\left(2 \, x\right) \sin\left(2 \, x\right) + 9 \, \sqrt{10} \sqrt{5}\right)} \arctan\left(\frac{1}{25} \, \sqrt{15} \sqrt{10} \sqrt{5} \sqrt{\frac{\sqrt{10} \sqrt{5} \sqrt{\frac{4 \, \cos\left(2 \, x\right) + 3 \, \sin\left(2 \, x\right)}{\cos\left(2 \, x\right)}} \cos\left(2 \, x\right) + 15 \, \cos\left(2 \, x\right) + 5 \, \sin\left(2 \, x\right)}{\cos\left(2 \, x\right)}} - \frac{1}{5} \, \sqrt{10} \sqrt{5} \sqrt{\frac{4 \, \cos\left(2 \, x\right) + 3 \, \sin\left(2 \, x\right)}{\cos\left(2 \, x\right)}} - 3\right) + 36 \, {\left(7 \, \sqrt{10} \sqrt{5} \cos\left(2 \, x\right)^{2} + 24 \, \sqrt{10} \sqrt{5} \cos\left(2 \, x\right) \sin\left(2 \, x\right) + 9 \, \sqrt{10} \sqrt{5}\right)} \arctan\left(\frac{1}{25} \, \sqrt{15} \sqrt{10} \sqrt{5} \sqrt{-\frac{\sqrt{10} \sqrt{5} \sqrt{\frac{4 \, \cos\left(2 \, x\right) + 3 \, \sin\left(2 \, x\right)}{\cos\left(2 \, x\right)}} \cos\left(2 \, x\right) - 15 \, \cos\left(2 \, x\right) - 5 \, \sin\left(2 \, x\right)}{\cos\left(2 \, x\right)}} - \frac{1}{5} \, \sqrt{10} \sqrt{5} \sqrt{\frac{4 \, \cos\left(2 \, x\right) + 3 \, \sin\left(2 \, x\right)}{\cos\left(2 \, x\right)}} + 3\right) - 13 \, {\left(7 \, \sqrt{10} \sqrt{5} \cos\left(2 \, x\right)^{2} + 24 \, \sqrt{10} \sqrt{5} \cos\left(2 \, x\right) \sin\left(2 \, x\right) + 9 \, \sqrt{10} \sqrt{5}\right)} \log\left(\frac{9375 \, {\left(\sqrt{10} \sqrt{5} \sqrt{\frac{4 \, \cos\left(2 \, x\right) + 3 \, \sin\left(2 \, x\right)}{\cos\left(2 \, x\right)}} \cos\left(2 \, x\right) + 15 \, \cos\left(2 \, x\right) + 5 \, \sin\left(2 \, x\right)\right)}}{\cos\left(2 \, x\right)}\right) + 13 \, {\left(7 \, \sqrt{10} \sqrt{5} \cos\left(2 \, x\right)^{2} + 24 \, \sqrt{10} \sqrt{5} \cos\left(2 \, x\right) \sin\left(2 \, x\right) + 9 \, \sqrt{10} \sqrt{5}\right)} \log\left(-\frac{9375 \, {\left(\sqrt{10} \sqrt{5} \sqrt{\frac{4 \, \cos\left(2 \, x\right) + 3 \, \sin\left(2 \, x\right)}{\cos\left(2 \, x\right)}} \cos\left(2 \, x\right) - 15 \, \cos\left(2 \, x\right) - 5 \, \sin\left(2 \, x\right)\right)}}{\cos\left(2 \, x\right)}\right) + 600 \, {\left(4 \, \cos\left(2 \, x\right)^{2} + 3 \, \cos\left(2 \, x\right) \sin\left(2 \, x\right)\right)} \sqrt{\frac{4 \, \cos\left(2 \, x\right) + 3 \, \sin\left(2 \, x\right)}{\cos\left(2 \, x\right)}}}{5000 \, {\left(7 \, \cos\left(2 \, x\right)^{2} + 24 \, \cos\left(2 \, x\right) \sin\left(2 \, x\right) + 9\right)}}"," ",0,"-1/5000*(36*(7*sqrt(10)*sqrt(5)*cos(2*x)^2 + 24*sqrt(10)*sqrt(5)*cos(2*x)*sin(2*x) + 9*sqrt(10)*sqrt(5))*arctan(1/25*sqrt(15)*sqrt(10)*sqrt(5)*sqrt((sqrt(10)*sqrt(5)*sqrt((4*cos(2*x) + 3*sin(2*x))/cos(2*x))*cos(2*x) + 15*cos(2*x) + 5*sin(2*x))/cos(2*x)) - 1/5*sqrt(10)*sqrt(5)*sqrt((4*cos(2*x) + 3*sin(2*x))/cos(2*x)) - 3) + 36*(7*sqrt(10)*sqrt(5)*cos(2*x)^2 + 24*sqrt(10)*sqrt(5)*cos(2*x)*sin(2*x) + 9*sqrt(10)*sqrt(5))*arctan(1/25*sqrt(15)*sqrt(10)*sqrt(5)*sqrt(-(sqrt(10)*sqrt(5)*sqrt((4*cos(2*x) + 3*sin(2*x))/cos(2*x))*cos(2*x) - 15*cos(2*x) - 5*sin(2*x))/cos(2*x)) - 1/5*sqrt(10)*sqrt(5)*sqrt((4*cos(2*x) + 3*sin(2*x))/cos(2*x)) + 3) - 13*(7*sqrt(10)*sqrt(5)*cos(2*x)^2 + 24*sqrt(10)*sqrt(5)*cos(2*x)*sin(2*x) + 9*sqrt(10)*sqrt(5))*log(9375*(sqrt(10)*sqrt(5)*sqrt((4*cos(2*x) + 3*sin(2*x))/cos(2*x))*cos(2*x) + 15*cos(2*x) + 5*sin(2*x))/cos(2*x)) + 13*(7*sqrt(10)*sqrt(5)*cos(2*x)^2 + 24*sqrt(10)*sqrt(5)*cos(2*x)*sin(2*x) + 9*sqrt(10)*sqrt(5))*log(-9375*(sqrt(10)*sqrt(5)*sqrt((4*cos(2*x) + 3*sin(2*x))/cos(2*x))*cos(2*x) - 15*cos(2*x) - 5*sin(2*x))/cos(2*x)) + 600*(4*cos(2*x)^2 + 3*cos(2*x)*sin(2*x))*sqrt((4*cos(2*x) + 3*sin(2*x))/cos(2*x)))/(7*cos(2*x)^2 + 24*cos(2*x)*sin(2*x) + 9)","B",0
400,1,82,0,0.981935," ","integrate((-(4-3*tan(x))^(1/2)+3*tan(x))/cos(x)^2/(4-3*tan(x))^(3/2),x, algorithm=""fricas"")","\frac{{\left(4 \, \cos\left(x\right) - 3 \, \sin\left(x\right)\right)} \log\left(\frac{7}{4} \, \cos\left(x\right)^{2} - 6 \, \cos\left(x\right) \sin\left(x\right) + \frac{9}{4}\right) - {\left(4 \, \cos\left(x\right) - 3 \, \sin\left(x\right)\right)} \log\left(\cos\left(x\right)^{2}\right) + 4 \, \sqrt{\frac{4 \, \cos\left(x\right) - 3 \, \sin\left(x\right)}{\cos\left(x\right)}} {\left(8 \, \cos\left(x\right) - 3 \, \sin\left(x\right)\right)}}{6 \, {\left(4 \, \cos\left(x\right) - 3 \, \sin\left(x\right)\right)}}"," ",0,"1/6*((4*cos(x) - 3*sin(x))*log(7/4*cos(x)^2 - 6*cos(x)*sin(x) + 9/4) - (4*cos(x) - 3*sin(x))*log(cos(x)^2) + 4*sqrt((4*cos(x) - 3*sin(x))/cos(x))*(8*cos(x) - 3*sin(x)))/(4*cos(x) - 3*sin(x))","B",0
401,1,603,0,3.247445," ","integrate(tan(x)/(-1+tan(x)^(1/2))^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, \sqrt{-i} - i + 1\right)} {\left(\tan\left(x\right) - 1\right)} \log\left(-\frac{1}{2} \, {\left(2 \, \sqrt{-i} - i + 1\right)}^{2} {\left(4 \, \left(-1\right)^{\frac{1}{4}} + 2 i + 1\right)} - {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)}^{3} - {\left({\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)}^{2} - 8 \, \left(-1\right)^{\frac{1}{4}} - 4 i - 3\right)} {\left(2 \, \sqrt{-i} - i + 1\right)} + 4 \, {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)}^{2} + 6 \, \sqrt{\tan\left(x\right)} - 16 \, \left(-1\right)^{\frac{1}{4}} - 8 i - 9\right) + 2 \, {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)} {\left(\tan\left(x\right) - 1\right)} \log\left({\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)}^{3} - \frac{7}{2} \, {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)}^{2} + 6 \, \sqrt{\tan\left(x\right)} + 14 \, \left(-1\right)^{\frac{1}{4}} + 7 i + 14\right) - {\left({\left(2 \, \sqrt{-i} - i + 1\right)} {\left(\tan\left(x\right) - 1\right)} + {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)} {\left(\tan\left(x\right) - 1\right)} - 4 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{-i} - i + 1\right)}^{2} - \frac{3}{16} \, {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{-i} - i + 1\right)} {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i - 3\right)} + \left(-1\right)^{\frac{1}{4}} + \frac{1}{2} i - \frac{1}{2}} {\left(\tan\left(x\right) - 1\right)} - 4 \, \tan\left(x\right) + 4\right)} \log\left(\frac{1}{4} \, {\left(2 \, \sqrt{-i} - i + 1\right)}^{2} {\left(4 \, \left(-1\right)^{\frac{1}{4}} + 2 i + 1\right)} + \frac{1}{2} \, {\left({\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)}^{2} - 8 \, \left(-1\right)^{\frac{1}{4}} - 4 i - 3\right)} {\left(2 \, \sqrt{-i} - i + 1\right)} - \frac{1}{4} \, {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)}^{2} + \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{-i} - i + 1\right)}^{2} - \frac{3}{16} \, {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{-i} - i + 1\right)} {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i - 3\right)} + \left(-1\right)^{\frac{1}{4}} + \frac{1}{2} i - \frac{1}{2}} {\left({\left(2 \, \sqrt{-i} - i + 1\right)} {\left(4 \, \left(-1\right)^{\frac{1}{4}} + 2 i + 1\right)} - 2 \, \left(-1\right)^{\frac{1}{4}} - i + 1\right)} + 6 \, \sqrt{\tan\left(x\right)} + \left(-1\right)^{\frac{1}{4}} + \frac{1}{2} i - \frac{5}{2}\right) - {\left({\left(2 \, \sqrt{-i} - i + 1\right)} {\left(\tan\left(x\right) - 1\right)} + {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)} {\left(\tan\left(x\right) - 1\right)} + 4 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{-i} - i + 1\right)}^{2} - \frac{3}{16} \, {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{-i} - i + 1\right)} {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i - 3\right)} + \left(-1\right)^{\frac{1}{4}} + \frac{1}{2} i - \frac{1}{2}} {\left(\tan\left(x\right) - 1\right)} - 4 \, \tan\left(x\right) + 4\right)} \log\left(\frac{1}{4} \, {\left(2 \, \sqrt{-i} - i + 1\right)}^{2} {\left(4 \, \left(-1\right)^{\frac{1}{4}} + 2 i + 1\right)} + \frac{1}{2} \, {\left({\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)}^{2} - 8 \, \left(-1\right)^{\frac{1}{4}} - 4 i - 3\right)} {\left(2 \, \sqrt{-i} - i + 1\right)} - \frac{1}{4} \, {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)}^{2} - \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{-i} - i + 1\right)}^{2} - \frac{3}{16} \, {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i + 1\right)}^{2} - \frac{1}{8} \, {\left(2 \, \sqrt{-i} - i + 1\right)} {\left(2 \, \left(-1\right)^{\frac{1}{4}} + i - 3\right)} + \left(-1\right)^{\frac{1}{4}} + \frac{1}{2} i - \frac{1}{2}} {\left({\left(2 \, \sqrt{-i} - i + 1\right)} {\left(4 \, \left(-1\right)^{\frac{1}{4}} + 2 i + 1\right)} - 2 \, \left(-1\right)^{\frac{1}{4}} - i + 1\right)} + 6 \, \sqrt{\tan\left(x\right)} + \left(-1\right)^{\frac{1}{4}} + \frac{1}{2} i - \frac{5}{2}\right) - 8 \, {\left(\tan\left(x\right) - 1\right)} \log\left(\sqrt{\tan\left(x\right)} - 1\right) + 8 \, \sqrt{\tan\left(x\right)} + 8}{8 \, {\left(\tan\left(x\right) - 1\right)}}"," ",0,"-1/8*(2*(2*sqrt(-I) - I + 1)*(tan(x) - 1)*log(-1/2*(2*sqrt(-I) - I + 1)^2*(4*(-1)^(1/4) + 2*I + 1) - (2*(-1)^(1/4) + I + 1)^3 - ((2*(-1)^(1/4) + I + 1)^2 - 8*(-1)^(1/4) - 4*I - 3)*(2*sqrt(-I) - I + 1) + 4*(2*(-1)^(1/4) + I + 1)^2 + 6*sqrt(tan(x)) - 16*(-1)^(1/4) - 8*I - 9) + 2*(2*(-1)^(1/4) + I + 1)*(tan(x) - 1)*log((2*(-1)^(1/4) + I + 1)^3 - 7/2*(2*(-1)^(1/4) + I + 1)^2 + 6*sqrt(tan(x)) + 14*(-1)^(1/4) + 7*I + 14) - ((2*sqrt(-I) - I + 1)*(tan(x) - 1) + (2*(-1)^(1/4) + I + 1)*(tan(x) - 1) - 4*sqrt(-3/16*(2*sqrt(-I) - I + 1)^2 - 3/16*(2*(-1)^(1/4) + I + 1)^2 - 1/8*(2*sqrt(-I) - I + 1)*(2*(-1)^(1/4) + I - 3) + (-1)^(1/4) + 1/2*I - 1/2)*(tan(x) - 1) - 4*tan(x) + 4)*log(1/4*(2*sqrt(-I) - I + 1)^2*(4*(-1)^(1/4) + 2*I + 1) + 1/2*((2*(-1)^(1/4) + I + 1)^2 - 8*(-1)^(1/4) - 4*I - 3)*(2*sqrt(-I) - I + 1) - 1/4*(2*(-1)^(1/4) + I + 1)^2 + sqrt(-3/16*(2*sqrt(-I) - I + 1)^2 - 3/16*(2*(-1)^(1/4) + I + 1)^2 - 1/8*(2*sqrt(-I) - I + 1)*(2*(-1)^(1/4) + I - 3) + (-1)^(1/4) + 1/2*I - 1/2)*((2*sqrt(-I) - I + 1)*(4*(-1)^(1/4) + 2*I + 1) - 2*(-1)^(1/4) - I + 1) + 6*sqrt(tan(x)) + (-1)^(1/4) + 1/2*I - 5/2) - ((2*sqrt(-I) - I + 1)*(tan(x) - 1) + (2*(-1)^(1/4) + I + 1)*(tan(x) - 1) + 4*sqrt(-3/16*(2*sqrt(-I) - I + 1)^2 - 3/16*(2*(-1)^(1/4) + I + 1)^2 - 1/8*(2*sqrt(-I) - I + 1)*(2*(-1)^(1/4) + I - 3) + (-1)^(1/4) + 1/2*I - 1/2)*(tan(x) - 1) - 4*tan(x) + 4)*log(1/4*(2*sqrt(-I) - I + 1)^2*(4*(-1)^(1/4) + 2*I + 1) + 1/2*((2*(-1)^(1/4) + I + 1)^2 - 8*(-1)^(1/4) - 4*I - 3)*(2*sqrt(-I) - I + 1) - 1/4*(2*(-1)^(1/4) + I + 1)^2 - sqrt(-3/16*(2*sqrt(-I) - I + 1)^2 - 3/16*(2*(-1)^(1/4) + I + 1)^2 - 1/8*(2*sqrt(-I) - I + 1)*(2*(-1)^(1/4) + I - 3) + (-1)^(1/4) + 1/2*I - 1/2)*((2*sqrt(-I) - I + 1)*(4*(-1)^(1/4) + 2*I + 1) - 2*(-1)^(1/4) - I + 1) + 6*sqrt(tan(x)) + (-1)^(1/4) + 1/2*I - 5/2) - 8*(tan(x) - 1)*log(sqrt(tan(x)) - 1) + 8*sqrt(tan(x)) + 8)/(tan(x) - 1)","C",0
402,1,137,0,0.915833," ","integrate(sin(x)/sin(2*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \arctan\left(-\frac{\sqrt{2} \sqrt{\cos\left(x\right) \sin\left(x\right)} {\left(\cos\left(x\right) - \sin\left(x\right)\right)} + \cos\left(x\right) \sin\left(x\right)}{\cos\left(x\right)^{2} + 2 \, \cos\left(x\right) \sin\left(x\right) - 1}\right) - \frac{1}{4} \, \arctan\left(-\frac{2 \, \sqrt{2} \sqrt{\cos\left(x\right) \sin\left(x\right)} - \cos\left(x\right) - \sin\left(x\right)}{\cos\left(x\right) - \sin\left(x\right)}\right) + \frac{1}{8} \, \log\left(-32 \, \cos\left(x\right)^{4} + 4 \, \sqrt{2} {\left(4 \, \cos\left(x\right)^{3} - {\left(4 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right) - 5 \, \cos\left(x\right)\right)} \sqrt{\cos\left(x\right) \sin\left(x\right)} + 32 \, \cos\left(x\right)^{2} + 16 \, \cos\left(x\right) \sin\left(x\right) + 1\right)"," ",0,"1/4*arctan(-(sqrt(2)*sqrt(cos(x)*sin(x))*(cos(x) - sin(x)) + cos(x)*sin(x))/(cos(x)^2 + 2*cos(x)*sin(x) - 1)) - 1/4*arctan(-(2*sqrt(2)*sqrt(cos(x)*sin(x)) - cos(x) - sin(x))/(cos(x) - sin(x))) + 1/8*log(-32*cos(x)^4 + 4*sqrt(2)*(4*cos(x)^3 - (4*cos(x)^2 + 1)*sin(x) - 5*cos(x))*sqrt(cos(x)*sin(x)) + 32*cos(x)^2 + 16*cos(x)*sin(x) + 1)","B",0
403,1,137,0,0.999060," ","integrate(cos(x)/sin(2*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \arctan\left(-\frac{\sqrt{2} \sqrt{\cos\left(x\right) \sin\left(x\right)} {\left(\cos\left(x\right) - \sin\left(x\right)\right)} + \cos\left(x\right) \sin\left(x\right)}{\cos\left(x\right)^{2} + 2 \, \cos\left(x\right) \sin\left(x\right) - 1}\right) - \frac{1}{4} \, \arctan\left(-\frac{2 \, \sqrt{2} \sqrt{\cos\left(x\right) \sin\left(x\right)} - \cos\left(x\right) - \sin\left(x\right)}{\cos\left(x\right) - \sin\left(x\right)}\right) - \frac{1}{8} \, \log\left(-32 \, \cos\left(x\right)^{4} + 4 \, \sqrt{2} {\left(4 \, \cos\left(x\right)^{3} - {\left(4 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right) - 5 \, \cos\left(x\right)\right)} \sqrt{\cos\left(x\right) \sin\left(x\right)} + 32 \, \cos\left(x\right)^{2} + 16 \, \cos\left(x\right) \sin\left(x\right) + 1\right)"," ",0,"1/4*arctan(-(sqrt(2)*sqrt(cos(x)*sin(x))*(cos(x) - sin(x)) + cos(x)*sin(x))/(cos(x)^2 + 2*cos(x)*sin(x) - 1)) - 1/4*arctan(-(2*sqrt(2)*sqrt(cos(x)*sin(x)) - cos(x) - sin(x))/(cos(x) - sin(x))) - 1/8*log(-32*cos(x)^4 + 4*sqrt(2)*(4*cos(x)^3 - (4*cos(x)^2 + 1)*sin(x) - 5*cos(x))*sqrt(cos(x)*sin(x)) + 32*cos(x)^2 + 16*cos(x)*sin(x) + 1)","B",0
404,1,151,0,0.943621," ","integrate(sin(x)*sin(2*x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \sqrt{\cos\left(x\right) \sin\left(x\right)} \cos\left(x\right) + \frac{1}{8} \, \arctan\left(-\frac{\sqrt{2} \sqrt{\cos\left(x\right) \sin\left(x\right)} {\left(\cos\left(x\right) - \sin\left(x\right)\right)} + \cos\left(x\right) \sin\left(x\right)}{\cos\left(x\right)^{2} + 2 \, \cos\left(x\right) \sin\left(x\right) - 1}\right) - \frac{1}{8} \, \arctan\left(-\frac{2 \, \sqrt{2} \sqrt{\cos\left(x\right) \sin\left(x\right)} - \cos\left(x\right) - \sin\left(x\right)}{\cos\left(x\right) - \sin\left(x\right)}\right) - \frac{1}{16} \, \log\left(-32 \, \cos\left(x\right)^{4} + 4 \, \sqrt{2} {\left(4 \, \cos\left(x\right)^{3} - {\left(4 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right) - 5 \, \cos\left(x\right)\right)} \sqrt{\cos\left(x\right) \sin\left(x\right)} + 32 \, \cos\left(x\right)^{2} + 16 \, \cos\left(x\right) \sin\left(x\right) + 1\right)"," ",0,"-1/2*sqrt(2)*sqrt(cos(x)*sin(x))*cos(x) + 1/8*arctan(-(sqrt(2)*sqrt(cos(x)*sin(x))*(cos(x) - sin(x)) + cos(x)*sin(x))/(cos(x)^2 + 2*cos(x)*sin(x) - 1)) - 1/8*arctan(-(2*sqrt(2)*sqrt(cos(x)*sin(x)) - cos(x) - sin(x))/(cos(x) - sin(x))) - 1/16*log(-32*cos(x)^4 + 4*sqrt(2)*(4*cos(x)^3 - (4*cos(x)^2 + 1)*sin(x) - 5*cos(x))*sqrt(cos(x)*sin(x)) + 32*cos(x)^2 + 16*cos(x)*sin(x) + 1)","B",0
405,1,76,0,0.663023," ","integrate((cos(x)-sin(x))*sin(2*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} \sqrt{\cos\left(x\right) \sin\left(x\right)} {\left(\cos\left(x\right) + \sin\left(x\right)\right)} + \frac{1}{8} \, \log\left(-32 \, \cos\left(x\right)^{4} + 4 \, \sqrt{2} {\left(4 \, \cos\left(x\right)^{3} - {\left(4 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right) - 5 \, \cos\left(x\right)\right)} \sqrt{\cos\left(x\right) \sin\left(x\right)} + 32 \, \cos\left(x\right)^{2} + 16 \, \cos\left(x\right) \sin\left(x\right) + 1\right)"," ",0,"1/2*sqrt(2)*sqrt(cos(x)*sin(x))*(cos(x) + sin(x)) + 1/8*log(-32*cos(x)^4 + 4*sqrt(2)*(4*cos(x)^3 - (4*cos(x)^2 + 1)*sin(x) - 5*cos(x))*sqrt(cos(x)*sin(x)) + 32*cos(x)^2 + 16*cos(x)*sin(x) + 1)","B",0
406,1,181,0,1.014103," ","integrate(sin(x)^7/sin(2*x)^(7/2),x, algorithm=""fricas"")","\frac{10 \, \arctan\left(-\frac{\sqrt{2} \sqrt{\cos\left(x\right) \sin\left(x\right)} {\left(\cos\left(x\right) - \sin\left(x\right)\right)} + \cos\left(x\right) \sin\left(x\right)}{\cos\left(x\right)^{2} + 2 \, \cos\left(x\right) \sin\left(x\right) - 1}\right) \cos\left(x\right)^{3} - 10 \, \arctan\left(-\frac{2 \, \sqrt{2} \sqrt{\cos\left(x\right) \sin\left(x\right)} - \cos\left(x\right) - \sin\left(x\right)}{\cos\left(x\right) - \sin\left(x\right)}\right) \cos\left(x\right)^{3} - 5 \, \cos\left(x\right)^{3} \log\left(-32 \, \cos\left(x\right)^{4} + 4 \, \sqrt{2} {\left(4 \, \cos\left(x\right)^{3} - {\left(4 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right) - 5 \, \cos\left(x\right)\right)} \sqrt{\cos\left(x\right) \sin\left(x\right)} + 32 \, \cos\left(x\right)^{2} + 16 \, \cos\left(x\right) \sin\left(x\right) + 1\right) - 48 \, \cos\left(x\right)^{3} - 8 \, \sqrt{2} {\left(6 \, \cos\left(x\right)^{2} - 1\right)} \sqrt{\cos\left(x\right) \sin\left(x\right)}}{320 \, \cos\left(x\right)^{3}}"," ",0,"1/320*(10*arctan(-(sqrt(2)*sqrt(cos(x)*sin(x))*(cos(x) - sin(x)) + cos(x)*sin(x))/(cos(x)^2 + 2*cos(x)*sin(x) - 1))*cos(x)^3 - 10*arctan(-(2*sqrt(2)*sqrt(cos(x)*sin(x)) - cos(x) - sin(x))/(cos(x) - sin(x)))*cos(x)^3 - 5*cos(x)^3*log(-32*cos(x)^4 + 4*sqrt(2)*(4*cos(x)^3 - (4*cos(x)^2 + 1)*sin(x) - 5*cos(x))*sqrt(cos(x)*sin(x)) + 32*cos(x)^2 + 16*cos(x)*sin(x) + 1) - 48*cos(x)^3 - 8*sqrt(2)*(6*cos(x)^2 - 1)*sqrt(cos(x)*sin(x)))/cos(x)^3","B",0
407,1,205,0,1.022326," ","integrate(cos(x)^7/sin(2*x)^(7/2),x, algorithm=""fricas"")","\frac{10 \, {\left(\cos\left(x\right)^{2} - 1\right)} \arctan\left(-\frac{\sqrt{2} \sqrt{\cos\left(x\right) \sin\left(x\right)} {\left(\cos\left(x\right) - \sin\left(x\right)\right)} + \cos\left(x\right) \sin\left(x\right)}{\cos\left(x\right)^{2} + 2 \, \cos\left(x\right) \sin\left(x\right) - 1}\right) \sin\left(x\right) - 10 \, {\left(\cos\left(x\right)^{2} - 1\right)} \arctan\left(-\frac{2 \, \sqrt{2} \sqrt{\cos\left(x\right) \sin\left(x\right)} - \cos\left(x\right) - \sin\left(x\right)}{\cos\left(x\right) - \sin\left(x\right)}\right) \sin\left(x\right) + 5 \, {\left(\cos\left(x\right)^{2} - 1\right)} \log\left(-32 \, \cos\left(x\right)^{4} + 4 \, \sqrt{2} {\left(4 \, \cos\left(x\right)^{3} - {\left(4 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right) - 5 \, \cos\left(x\right)\right)} \sqrt{\cos\left(x\right) \sin\left(x\right)} + 32 \, \cos\left(x\right)^{2} + 16 \, \cos\left(x\right) \sin\left(x\right) + 1\right) \sin\left(x\right) + 8 \, \sqrt{2} {\left(6 \, \cos\left(x\right)^{2} - 5\right)} \sqrt{\cos\left(x\right) \sin\left(x\right)} + 48 \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)}{320 \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)}"," ",0,"1/320*(10*(cos(x)^2 - 1)*arctan(-(sqrt(2)*sqrt(cos(x)*sin(x))*(cos(x) - sin(x)) + cos(x)*sin(x))/(cos(x)^2 + 2*cos(x)*sin(x) - 1))*sin(x) - 10*(cos(x)^2 - 1)*arctan(-(2*sqrt(2)*sqrt(cos(x)*sin(x)) - cos(x) - sin(x))/(cos(x) - sin(x)))*sin(x) + 5*(cos(x)^2 - 1)*log(-32*cos(x)^4 + 4*sqrt(2)*(4*cos(x)^3 - (4*cos(x)^2 + 1)*sin(x) - 5*cos(x))*sqrt(cos(x)*sin(x)) + 32*cos(x)^2 + 16*cos(x)*sin(x) + 1)*sin(x) + 8*sqrt(2)*(6*cos(x)^2 - 5)*sqrt(cos(x)*sin(x)) + 48*(cos(x)^2 - 1)*sin(x))/((cos(x)^2 - 1)*sin(x))","B",0
408,1,39,0,1.001202," ","integrate(sin(2*x)^(3/2)/sin(x)^5,x, algorithm=""fricas"")","\frac{4 \, {\left(\sqrt{2} \sqrt{\cos\left(x\right) \sin\left(x\right)} \cos\left(x\right)^{2} + {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)\right)}}{5 \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)}"," ",0,"4/5*(sqrt(2)*sqrt(cos(x)*sin(x))*cos(x)^2 + (cos(x)^2 - 1)*sin(x))/((cos(x)^2 - 1)*sin(x))","B",0
409,1,32,0,0.874307," ","integrate(1/cos(x)^3/sin(2*x)^(1/2),x, algorithm=""fricas"")","\frac{4 \, \cos\left(x\right)^{3} + \sqrt{2} {\left(4 \, \cos\left(x\right)^{2} + 1\right)} \sqrt{\cos\left(x\right) \sin\left(x\right)}}{5 \, \cos\left(x\right)^{3}}"," ",0,"1/5*(4*cos(x)^3 + sqrt(2)*(4*cos(x)^2 + 1)*sqrt(cos(x)*sin(x)))/cos(x)^3","A",0
410,1,43,0,0.605808," ","integrate(1/sin(x)/sin(2*x)^(3/2),x, algorithm=""fricas"")","\frac{4 \, \cos\left(x\right)^{3} + \sqrt{2} {\left(4 \, \cos\left(x\right)^{2} - 3\right)} \sqrt{\cos\left(x\right) \sin\left(x\right)} - 4 \, \cos\left(x\right)}{6 \, {\left(\cos\left(x\right)^{3} - \cos\left(x\right)\right)}}"," ",0,"1/6*(4*cos(x)^3 + sqrt(2)*(4*cos(x)^2 - 3)*sqrt(cos(x)*sin(x)) - 4*cos(x))/(cos(x)^3 - cos(x))","B",0
411,1,136,0,1.050908," ","integrate(cos(x)^3*(cos(2*x)-3*tan(x))/(sin(x)^2-sin(2*x))/sin(2*x)^(5/2),x, algorithm=""fricas"")","-\frac{495 \, {\left(\cos\left(x\right)^{2} - 1\right)} \log\left(-\frac{1}{2} \, \sqrt{2} \sqrt{\cos\left(x\right) \sin\left(x\right)} {\left(4 \, \cos\left(x\right) + 3 \, \sin\left(x\right)\right)} + \frac{1}{2} \, \cos\left(x\right)^{2} + \frac{7}{2} \, \cos\left(x\right) \sin\left(x\right) + \frac{1}{2}\right) \sin\left(x\right) - 495 \, {\left(\cos\left(x\right)^{2} - 1\right)} \log\left(\frac{1}{2} \, \cos\left(x\right)^{2} + \frac{1}{2} \, \sqrt{2} \sqrt{\cos\left(x\right) \sin\left(x\right)} \sin\left(x\right) - \frac{1}{2} \, \cos\left(x\right) \sin\left(x\right) + \frac{1}{2}\right) \sin\left(x\right) + 4 \, \sqrt{2} {\left(147 \, \cos\left(x\right)^{2} - 50 \, \cos\left(x\right) \sin\left(x\right) - 135\right)} \sqrt{\cos\left(x\right) \sin\left(x\right)} + 388 \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)}{1920 \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)}"," ",0,"-1/1920*(495*(cos(x)^2 - 1)*log(-1/2*sqrt(2)*sqrt(cos(x)*sin(x))*(4*cos(x) + 3*sin(x)) + 1/2*cos(x)^2 + 7/2*cos(x)*sin(x) + 1/2)*sin(x) - 495*(cos(x)^2 - 1)*log(1/2*cos(x)^2 + 1/2*sqrt(2)*sqrt(cos(x)*sin(x))*sin(x) - 1/2*cos(x)*sin(x) + 1/2)*sin(x) + 4*sqrt(2)*(147*cos(x)^2 - 50*cos(x)*sin(x) - 135)*sqrt(cos(x)*sin(x)) + 388*(cos(x)^2 - 1)*sin(x))/((cos(x)^2 - 1)*sin(x))","B",0
412,1,15,0,0.795281," ","integrate((sin(x)/cos(x)^5)^(1/2),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{\frac{\sin\left(x\right)}{\cos\left(x\right)^{5}}} \cos\left(x\right) \sin\left(x\right)"," ",0,"2/3*sqrt(sin(x)/cos(x)^5)*cos(x)*sin(x)","A",0
413,1,1006,0,114.302502," ","integrate((sin(x)^5/cos(x))^(1/2),x, algorithm=""fricas"")","\frac{16 \, \sqrt{\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\cos\left(x\right)}} \cos\left(x\right) \sin\left(x\right) - 6 \, {\left(\sqrt{2} \cos\left(x\right)^{2} - \sqrt{2}\right)} \arctan\left(\frac{2 \, \cos\left(x\right)^{4} - 4 \, \cos\left(x\right)^{2} - 2 \, {\left(\cos\left(x\right)^{3} - \cos\left(x\right)\right)} \sin\left(x\right) + \sqrt{2} \sqrt{\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\cos\left(x\right)}} \sqrt{\frac{\cos\left(x\right)^{2} + 4 \, {\left(\cos\left(x\right)^{3} - \cos\left(x\right)\right)} \sin\left(x\right) + 2 \, {\left(\sqrt{2} \cos\left(x\right)^{2} + \sqrt{2} \cos\left(x\right) \sin\left(x\right)\right)} \sqrt{\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\cos\left(x\right)}} - 1}{\cos\left(x\right)^{2} - 1}} - \sqrt{2} \sqrt{\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\cos\left(x\right)}} + 2}{2 \, {\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + {\left(\cos\left(x\right)^{3} - \cos\left(x\right)\right)} \sin\left(x\right) + 1\right)}}\right) - 6 \, {\left(\sqrt{2} \cos\left(x\right)^{2} - \sqrt{2}\right)} \arctan\left(-\frac{2 \, \cos\left(x\right)^{4} - 4 \, \cos\left(x\right)^{2} - 2 \, {\left(\cos\left(x\right)^{3} - \cos\left(x\right)\right)} \sin\left(x\right) - \sqrt{2} \sqrt{\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\cos\left(x\right)}} \sqrt{\frac{\cos\left(x\right)^{2} + 4 \, {\left(\cos\left(x\right)^{3} - \cos\left(x\right)\right)} \sin\left(x\right) - 2 \, {\left(\sqrt{2} \cos\left(x\right)^{2} + \sqrt{2} \cos\left(x\right) \sin\left(x\right)\right)} \sqrt{\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\cos\left(x\right)}} - 1}{\cos\left(x\right)^{2} - 1}} + \sqrt{2} \sqrt{\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\cos\left(x\right)}} + 2}{2 \, {\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + {\left(\cos\left(x\right)^{3} - \cos\left(x\right)\right)} \sin\left(x\right) + 1\right)}}\right) - 6 \, {\left(\sqrt{2} \cos\left(x\right)^{2} - \sqrt{2}\right)} \arctan\left(\frac{{\left(\sqrt{2} \cos\left(x\right)^{2} - \sqrt{2} \cos\left(x\right) \sin\left(x\right)\right)} \sqrt{\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\cos\left(x\right)}} - {\left(2 \, \cos\left(x\right)^{4} - 3 \, \cos\left(x\right)^{2} - {\left(\sqrt{2} \cos\left(x\right)^{2} - \sqrt{2} \cos\left(x\right) \sin\left(x\right)\right)} \sqrt{\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\cos\left(x\right)}} + 1\right)} \sqrt{\frac{\cos\left(x\right)^{2} + 4 \, {\left(\cos\left(x\right)^{3} - \cos\left(x\right)\right)} \sin\left(x\right) + 2 \, {\left(\sqrt{2} \cos\left(x\right)^{2} + \sqrt{2} \cos\left(x\right) \sin\left(x\right)\right)} \sqrt{\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\cos\left(x\right)}} - 1}{\cos\left(x\right)^{2} - 1}}}{\cos\left(x\right)^{2} - 2 \, {\left(\cos\left(x\right)^{3} - \cos\left(x\right)\right)} \sin\left(x\right) - 1}\right) - 6 \, {\left(\sqrt{2} \cos\left(x\right)^{2} - \sqrt{2}\right)} \arctan\left(\frac{{\left(\sqrt{2} \cos\left(x\right)^{2} - \sqrt{2} \cos\left(x\right) \sin\left(x\right)\right)} \sqrt{\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\cos\left(x\right)}} + {\left(2 \, \cos\left(x\right)^{4} - 3 \, \cos\left(x\right)^{2} + {\left(\sqrt{2} \cos\left(x\right)^{2} - \sqrt{2} \cos\left(x\right) \sin\left(x\right)\right)} \sqrt{\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\cos\left(x\right)}} + 1\right)} \sqrt{\frac{\cos\left(x\right)^{2} + 4 \, {\left(\cos\left(x\right)^{3} - \cos\left(x\right)\right)} \sin\left(x\right) - 2 \, {\left(\sqrt{2} \cos\left(x\right)^{2} + \sqrt{2} \cos\left(x\right) \sin\left(x\right)\right)} \sqrt{\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\cos\left(x\right)}} - 1}{\cos\left(x\right)^{2} - 1}}}{\cos\left(x\right)^{2} - 2 \, {\left(\cos\left(x\right)^{3} - \cos\left(x\right)\right)} \sin\left(x\right) - 1}\right) + 3 \, {\left(\sqrt{2} \cos\left(x\right)^{2} - \sqrt{2}\right)} \log\left(\frac{\cos\left(x\right)^{2} + 4 \, {\left(\cos\left(x\right)^{3} - \cos\left(x\right)\right)} \sin\left(x\right) + 2 \, {\left(\sqrt{2} \cos\left(x\right)^{2} + \sqrt{2} \cos\left(x\right) \sin\left(x\right)\right)} \sqrt{\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\cos\left(x\right)}} - 1}{\cos\left(x\right)^{2} - 1}\right) - 3 \, {\left(\sqrt{2} \cos\left(x\right)^{2} - \sqrt{2}\right)} \log\left(\frac{\cos\left(x\right)^{2} + 4 \, {\left(\cos\left(x\right)^{3} - \cos\left(x\right)\right)} \sin\left(x\right) - 2 \, {\left(\sqrt{2} \cos\left(x\right)^{2} + \sqrt{2} \cos\left(x\right) \sin\left(x\right)\right)} \sqrt{\frac{{\left(\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\cos\left(x\right)}} - 1}{\cos\left(x\right)^{2} - 1}\right)}{32 \, {\left(\cos\left(x\right)^{2} - 1\right)}}"," ",0,"1/32*(16*sqrt((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x))*cos(x)*sin(x) - 6*(sqrt(2)*cos(x)^2 - sqrt(2))*arctan(1/2*(2*cos(x)^4 - 4*cos(x)^2 - 2*(cos(x)^3 - cos(x))*sin(x) + sqrt(2)*sqrt((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x))*sqrt((cos(x)^2 + 4*(cos(x)^3 - cos(x))*sin(x) + 2*(sqrt(2)*cos(x)^2 + sqrt(2)*cos(x)*sin(x))*sqrt((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x)) - 1)/(cos(x)^2 - 1)) - sqrt(2)*sqrt((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x)) + 2)/(cos(x)^4 - 2*cos(x)^2 + (cos(x)^3 - cos(x))*sin(x) + 1)) - 6*(sqrt(2)*cos(x)^2 - sqrt(2))*arctan(-1/2*(2*cos(x)^4 - 4*cos(x)^2 - 2*(cos(x)^3 - cos(x))*sin(x) - sqrt(2)*sqrt((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x))*sqrt((cos(x)^2 + 4*(cos(x)^3 - cos(x))*sin(x) - 2*(sqrt(2)*cos(x)^2 + sqrt(2)*cos(x)*sin(x))*sqrt((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x)) - 1)/(cos(x)^2 - 1)) + sqrt(2)*sqrt((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x)) + 2)/(cos(x)^4 - 2*cos(x)^2 + (cos(x)^3 - cos(x))*sin(x) + 1)) - 6*(sqrt(2)*cos(x)^2 - sqrt(2))*arctan(((sqrt(2)*cos(x)^2 - sqrt(2)*cos(x)*sin(x))*sqrt((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x)) - (2*cos(x)^4 - 3*cos(x)^2 - (sqrt(2)*cos(x)^2 - sqrt(2)*cos(x)*sin(x))*sqrt((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x)) + 1)*sqrt((cos(x)^2 + 4*(cos(x)^3 - cos(x))*sin(x) + 2*(sqrt(2)*cos(x)^2 + sqrt(2)*cos(x)*sin(x))*sqrt((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x)) - 1)/(cos(x)^2 - 1)))/(cos(x)^2 - 2*(cos(x)^3 - cos(x))*sin(x) - 1)) - 6*(sqrt(2)*cos(x)^2 - sqrt(2))*arctan(((sqrt(2)*cos(x)^2 - sqrt(2)*cos(x)*sin(x))*sqrt((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x)) + (2*cos(x)^4 - 3*cos(x)^2 + (sqrt(2)*cos(x)^2 - sqrt(2)*cos(x)*sin(x))*sqrt((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x)) + 1)*sqrt((cos(x)^2 + 4*(cos(x)^3 - cos(x))*sin(x) - 2*(sqrt(2)*cos(x)^2 + sqrt(2)*cos(x)*sin(x))*sqrt((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x)) - 1)/(cos(x)^2 - 1)))/(cos(x)^2 - 2*(cos(x)^3 - cos(x))*sin(x) - 1)) + 3*(sqrt(2)*cos(x)^2 - sqrt(2))*log((cos(x)^2 + 4*(cos(x)^3 - cos(x))*sin(x) + 2*(sqrt(2)*cos(x)^2 + sqrt(2)*cos(x)*sin(x))*sqrt((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x)) - 1)/(cos(x)^2 - 1)) - 3*(sqrt(2)*cos(x)^2 - sqrt(2))*log((cos(x)^2 + 4*(cos(x)^3 - cos(x))*sin(x) - 2*(sqrt(2)*cos(x)^2 + sqrt(2)*cos(x)*sin(x))*sqrt((cos(x)^4 - 2*cos(x)^2 + 1)*sin(x)/cos(x)) - 1)/(cos(x)^2 - 1)))/(cos(x)^2 - 1)","B",0
414,1,29,0,1.000218," ","integrate((sin(x)^2/cos(x)^14)^(1/3),x, algorithm=""fricas"")","\frac{3}{55} \, {\left(6 \, \cos\left(x\right)^{3} + 5 \, \cos\left(x\right)\right)} \left(-\frac{\cos\left(x\right)^{2} - 1}{\cos\left(x\right)^{14}}\right)^{\frac{1}{3}} \sin\left(x\right)"," ",0,"3/55*(6*cos(x)^3 + 5*cos(x))*(-(cos(x)^2 - 1)/cos(x)^14)^(1/3)*sin(x)","A",0
415,1,101,0,0.878900," ","integrate(1/(cos(x)^11*sin(x)^13)^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(128 \, \cos\left(x\right)^{4} - 144 \, \cos\left(x\right)^{2} + 9\right)} \left({\left(\cos\left(x\right)^{23} - 6 \, \cos\left(x\right)^{21} + 15 \, \cos\left(x\right)^{19} - 20 \, \cos\left(x\right)^{17} + 15 \, \cos\left(x\right)^{15} - 6 \, \cos\left(x\right)^{13} + \cos\left(x\right)^{11}\right)} \sin\left(x\right)\right)^{\frac{3}{4}}}{63 \, {\left(\cos\left(x\right)^{22} - 6 \, \cos\left(x\right)^{20} + 15 \, \cos\left(x\right)^{18} - 20 \, \cos\left(x\right)^{16} + 15 \, \cos\left(x\right)^{14} - 6 \, \cos\left(x\right)^{12} + \cos\left(x\right)^{10}\right)}}"," ",0,"4/63*(128*cos(x)^4 - 144*cos(x)^2 + 9)*((cos(x)^23 - 6*cos(x)^21 + 15*cos(x)^19 - 20*cos(x)^17 + 15*cos(x)^15 - 6*cos(x)^13 + cos(x)^11)*sin(x))^(3/4)/(cos(x)^22 - 6*cos(x)^20 + 15*cos(x)^18 - 20*cos(x)^16 + 15*cos(x)^14 - 6*cos(x)^12 + cos(x)^10)","A",0
416,1,611,0,20.640746," ","integrate((cos(2*x)-sin(2*x)^(1/2))/(cos(x)^3*sin(x))^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{2} \arctan\left(-\frac{2 \, \cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{3} \sin\left(x\right) - 2 \, \cos\left(x\right)^{2} - \sqrt{2} \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)} \sqrt{\frac{4 \, \cos\left(x\right)^{2} \sin\left(x\right) + 2 \, \sqrt{2} \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)} {\left(\cos\left(x\right) + \sin\left(x\right)\right)} + \cos\left(x\right)}{\cos\left(x\right)}} - \sqrt{2} \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)}}{2 \, {\left(\cos\left(x\right)^{4} + \cos\left(x\right)^{3} \sin\left(x\right) - \cos\left(x\right)^{2}\right)}}\right) \cos\left(x\right)^{2} + 2 \, \sqrt{2} \arctan\left(\frac{2 \, \cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{3} \sin\left(x\right) - 2 \, \cos\left(x\right)^{2} + \sqrt{2} \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)} \sqrt{\frac{4 \, \cos\left(x\right)^{2} \sin\left(x\right) - 2 \, \sqrt{2} \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)} {\left(\cos\left(x\right) + \sin\left(x\right)\right)} + \cos\left(x\right)}{\cos\left(x\right)}} + \sqrt{2} \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)}}{2 \, {\left(\cos\left(x\right)^{4} + \cos\left(x\right)^{3} \sin\left(x\right) - \cos\left(x\right)^{2}\right)}}\right) \cos\left(x\right)^{2} - 2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)} {\left(\cos\left(x\right) - \sin\left(x\right)\right)} + {\left(2 \, \cos\left(x\right)^{2} \sin\left(x\right) - \sqrt{2} \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)} {\left(\cos\left(x\right) + \sin\left(x\right)\right)}\right)} \sqrt{\frac{4 \, \cos\left(x\right)^{2} \sin\left(x\right) + 2 \, \sqrt{2} \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)} {\left(\cos\left(x\right) + \sin\left(x\right)\right)} + \cos\left(x\right)}{\cos\left(x\right)}}}{2 \, \cos\left(x\right)^{2} \sin\left(x\right)}\right) \cos\left(x\right)^{2} - 2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)} {\left(\cos\left(x\right) - \sin\left(x\right)\right)} - {\left(2 \, \cos\left(x\right)^{2} \sin\left(x\right) + \sqrt{2} \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)} {\left(\cos\left(x\right) + \sin\left(x\right)\right)}\right)} \sqrt{\frac{4 \, \cos\left(x\right)^{2} \sin\left(x\right) - 2 \, \sqrt{2} \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)} {\left(\cos\left(x\right) + \sin\left(x\right)\right)} + \cos\left(x\right)}{\cos\left(x\right)}}}{2 \, \cos\left(x\right)^{2} \sin\left(x\right)}\right) \cos\left(x\right)^{2} - \sqrt{2} \cos\left(x\right)^{2} \log\left(\frac{4 \, \cos\left(x\right)^{2} \sin\left(x\right) + 2 \, \sqrt{2} \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)} {\left(\cos\left(x\right) + \sin\left(x\right)\right)} + \cos\left(x\right)}{\cos\left(x\right)}\right) + \sqrt{2} \cos\left(x\right)^{2} \log\left(\frac{4 \, \cos\left(x\right)^{2} \sin\left(x\right) - 2 \, \sqrt{2} \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)} {\left(\cos\left(x\right) + \sin\left(x\right)\right)} + \cos\left(x\right)}{\cos\left(x\right)}\right) - \sqrt{2} \cos\left(x\right)^{2} \log\left(\frac{\cos\left(x\right)^{6} - 8 \, \cos\left(x\right)^{4} + 4 \, \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)} {\left(\cos\left(x\right)^{2} - 2\right)} \sqrt{\cos\left(x\right) \sin\left(x\right)} + 8 \, \cos\left(x\right)^{2}}{\cos\left(x\right)^{6}}\right) + 8 \, \sqrt{\cos\left(x\right)^{3} \sin\left(x\right)}}{4 \, \cos\left(x\right)^{2}}"," ",0,"-1/4*(2*sqrt(2)*arctan(-1/2*(2*cos(x)^4 - 2*cos(x)^3*sin(x) - 2*cos(x)^2 - sqrt(2)*sqrt(cos(x)^3*sin(x))*sqrt((4*cos(x)^2*sin(x) + 2*sqrt(2)*sqrt(cos(x)^3*sin(x))*(cos(x) + sin(x)) + cos(x))/cos(x)) - sqrt(2)*sqrt(cos(x)^3*sin(x)))/(cos(x)^4 + cos(x)^3*sin(x) - cos(x)^2))*cos(x)^2 + 2*sqrt(2)*arctan(1/2*(2*cos(x)^4 - 2*cos(x)^3*sin(x) - 2*cos(x)^2 + sqrt(2)*sqrt(cos(x)^3*sin(x))*sqrt((4*cos(x)^2*sin(x) - 2*sqrt(2)*sqrt(cos(x)^3*sin(x))*(cos(x) + sin(x)) + cos(x))/cos(x)) + sqrt(2)*sqrt(cos(x)^3*sin(x)))/(cos(x)^4 + cos(x)^3*sin(x) - cos(x)^2))*cos(x)^2 - 2*sqrt(2)*arctan(-1/2*(sqrt(2)*sqrt(cos(x)^3*sin(x))*(cos(x) - sin(x)) + (2*cos(x)^2*sin(x) - sqrt(2)*sqrt(cos(x)^3*sin(x))*(cos(x) + sin(x)))*sqrt((4*cos(x)^2*sin(x) + 2*sqrt(2)*sqrt(cos(x)^3*sin(x))*(cos(x) + sin(x)) + cos(x))/cos(x)))/(cos(x)^2*sin(x)))*cos(x)^2 - 2*sqrt(2)*arctan(-1/2*(sqrt(2)*sqrt(cos(x)^3*sin(x))*(cos(x) - sin(x)) - (2*cos(x)^2*sin(x) + sqrt(2)*sqrt(cos(x)^3*sin(x))*(cos(x) + sin(x)))*sqrt((4*cos(x)^2*sin(x) - 2*sqrt(2)*sqrt(cos(x)^3*sin(x))*(cos(x) + sin(x)) + cos(x))/cos(x)))/(cos(x)^2*sin(x)))*cos(x)^2 - sqrt(2)*cos(x)^2*log((4*cos(x)^2*sin(x) + 2*sqrt(2)*sqrt(cos(x)^3*sin(x))*(cos(x) + sin(x)) + cos(x))/cos(x)) + sqrt(2)*cos(x)^2*log((4*cos(x)^2*sin(x) - 2*sqrt(2)*sqrt(cos(x)^3*sin(x))*(cos(x) + sin(x)) + cos(x))/cos(x)) - sqrt(2)*cos(x)^2*log((cos(x)^6 - 8*cos(x)^4 + 4*sqrt(cos(x)^3*sin(x))*(cos(x)^2 - 2)*sqrt(cos(x)*sin(x)) + 8*cos(x)^2)/cos(x)^6) + 8*sqrt(cos(x)^3*sin(x)))/cos(x)^2","B",0
417,-2,0,0,0.000000," ","integrate((-2*sin(2*x)+(cos(x)*sin(x)^3)^(1/2))/(-(cos(x)^3*sin(x))^(1/2)+tan(x)^(1/2)),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   not invertible","F(-2)",0
418,1,56,0,1.307313," ","integrate(((sin(x)/cos(x)^7)^(1/3)-3*tan(x))/(cos(x)^5*sin(x))^(2/3),x, algorithm=""fricas"")","-\frac{3 \, \left(\cos\left(x\right)^{5} \sin\left(x\right)\right)^{\frac{1}{3}} {\left(21 \, {\left(3 \, \cos\left(x\right)^{2} + 2\right)} \sin\left(x\right) - 5 \, {\left(9 \, \cos\left(x\right)^{5} + 3 \, \cos\left(x\right)^{3} + 2 \, \cos\left(x\right)\right)} \left(\frac{\sin\left(x\right)}{\cos\left(x\right)^{7}}\right)^{\frac{1}{3}}\right)}}{140 \, \cos\left(x\right)^{5}}"," ",0,"-3/140*(cos(x)^5*sin(x))^(1/3)*(21*(3*cos(x)^2 + 2)*sin(x) - 5*(9*cos(x)^5 + 3*cos(x)^3 + 2*cos(x))*(sin(x)/cos(x)^7)^(1/3))/cos(x)^5","A",0
419,1,108,0,1.949759," ","integrate((1+2*cos(x)^2)^(5/2)*sin(x),x, algorithm=""fricas"")","-\frac{1}{48} \, {\left(32 \, \cos\left(x\right)^{5} + 52 \, \cos\left(x\right)^{3} + 33 \, \cos\left(x\right)\right)} \sqrt{2 \, \cos\left(x\right)^{2} + 1} + \frac{5}{256} \, \sqrt{2} \log\left(2048 \, \cos\left(x\right)^{8} + 2048 \, \cos\left(x\right)^{6} + 640 \, \cos\left(x\right)^{4} + 64 \, \cos\left(x\right)^{2} - 8 \, {\left(128 \, \sqrt{2} \cos\left(x\right)^{7} + 96 \, \sqrt{2} \cos\left(x\right)^{5} + 20 \, \sqrt{2} \cos\left(x\right)^{3} + \sqrt{2} \cos\left(x\right)\right)} \sqrt{2 \, \cos\left(x\right)^{2} + 1} + 1\right)"," ",0,"-1/48*(32*cos(x)^5 + 52*cos(x)^3 + 33*cos(x))*sqrt(2*cos(x)^2 + 1) + 5/256*sqrt(2)*log(2048*cos(x)^8 + 2048*cos(x)^6 + 640*cos(x)^4 + 64*cos(x)^2 - 8*(128*sqrt(2)*cos(x)^7 + 96*sqrt(2)*cos(x)^5 + 20*sqrt(2)*cos(x)^3 + sqrt(2)*cos(x))*sqrt(2*cos(x)^2 + 1) + 1)","A",0
420,1,88,0,1.491003," ","integrate(cos(x)*(5*cos(x)^2+sin(x)^2)^(5/2),x, algorithm=""fricas"")","\frac{1}{48} \, {\left(128 \, \cos\left(x\right)^{4} + 264 \, \cos\left(x\right)^{2} + 433\right)} \sqrt{4 \, \cos\left(x\right)^{2} + 1} \sin\left(x\right) + \frac{625}{64} \, \arctan\left(\frac{4 \, {\left(8 \, \cos\left(x\right)^{2} - 3\right)} \sqrt{4 \, \cos\left(x\right)^{2} + 1} \sin\left(x\right) - 25 \, \cos\left(x\right) \sin\left(x\right)}{64 \, \cos\left(x\right)^{4} - 23 \, \cos\left(x\right)^{2} - 16}\right) + \frac{625}{64} \, \arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right)}\right)"," ",0,"1/48*(128*cos(x)^4 + 264*cos(x)^2 + 433)*sqrt(4*cos(x)^2 + 1)*sin(x) + 625/64*arctan((4*(8*cos(x)^2 - 3)*sqrt(4*cos(x)^2 + 1)*sin(x) - 25*cos(x)*sin(x))/(64*cos(x)^4 - 23*cos(x)^2 - 16)) + 625/64*arctan(sin(x)/cos(x))","A",0
421,1,122,0,1.306248," ","integrate(cos(x)*(-cos(x)^2-5*sin(x)^2)^(3/2),x, algorithm=""fricas"")","\frac{1}{128} \, {\left(12 i \, e^{\left(4 i \, x\right)} \log\left(-\frac{1}{2} \, \sqrt{e^{\left(4 i \, x\right)} - 3 \, e^{\left(2 i \, x\right)} + 1} {\left(4 \, e^{\left(2 i \, x\right)} - 5\right)} + 2 \, e^{\left(4 i \, x\right)} - \frac{11}{2} \, e^{\left(2 i \, x\right)} + \frac{5}{2}\right) - 12 i \, e^{\left(4 i \, x\right)} \log\left(\sqrt{e^{\left(4 i \, x\right)} - 3 \, e^{\left(2 i \, x\right)} + 1} - e^{\left(2 i \, x\right)} - 1\right) + {\left(-16 i \, e^{\left(6 i \, x\right)} + 88 i \, e^{\left(4 i \, x\right)} - 88 i \, e^{\left(2 i \, x\right)} + 16 i\right)} \sqrt{e^{\left(4 i \, x\right)} - 3 \, e^{\left(2 i \, x\right)} + 1} - 145 i \, e^{\left(4 i \, x\right)}\right)} e^{\left(-4 i \, x\right)}"," ",0,"1/128*(12*I*e^(4*I*x)*log(-1/2*sqrt(e^(4*I*x) - 3*e^(2*I*x) + 1)*(4*e^(2*I*x) - 5) + 2*e^(4*I*x) - 11/2*e^(2*I*x) + 5/2) - 12*I*e^(4*I*x)*log(sqrt(e^(4*I*x) - 3*e^(2*I*x) + 1) - e^(2*I*x) - 1) + (-16*I*e^(6*I*x) + 88*I*e^(4*I*x) - 88*I*e^(2*I*x) + 16*I)*sqrt(e^(4*I*x) - 3*e^(2*I*x) + 1) - 145*I*e^(4*I*x))*e^(-4*I*x)","C",0
422,1,51,0,0.979756," ","integrate(sin(x)/(5*cos(x)^2-2*sin(x)^2)^(7/2),x, algorithm=""fricas"")","\frac{{\left(98 \, \cos\left(x\right)^{5} - 70 \, \cos\left(x\right)^{3} + 15 \, \cos\left(x\right)\right)} \sqrt{7 \, \cos\left(x\right)^{2} - 2}}{30 \, {\left(343 \, \cos\left(x\right)^{6} - 294 \, \cos\left(x\right)^{4} + 84 \, \cos\left(x\right)^{2} - 8\right)}}"," ",0,"1/30*(98*cos(x)^5 - 70*cos(x)^3 + 15*cos(x))*sqrt(7*cos(x)^2 - 2)/(343*cos(x)^6 - 294*cos(x)^4 + 84*cos(x)^2 - 8)","A",0
423,1,100,0,0.813920," ","integrate(cos(x)*cos(2*x)/(2-5*sin(x)^2)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(5 \, \sqrt{5} \cos\left(x\right)^{2} - 3 \, \sqrt{5}\right)} \arctan\left(\frac{{\left(50 \, \sqrt{5} \cos\left(x\right)^{4} - 80 \, \sqrt{5} \cos\left(x\right)^{2} + 31 \, \sqrt{5}\right)} \sqrt{5 \, \cos\left(x\right)^{2} - 3}}{10 \, {\left(25 \, \cos\left(x\right)^{4} - 35 \, \cos\left(x\right)^{2} + 12\right)} \sin\left(x\right)}\right) - 5 \, \sqrt{5 \, \cos\left(x\right)^{2} - 3} \sin\left(x\right)}{50 \, {\left(5 \, \cos\left(x\right)^{2} - 3\right)}}"," ",0,"-1/50*((5*sqrt(5)*cos(x)^2 - 3*sqrt(5))*arctan(1/10*(50*sqrt(5)*cos(x)^4 - 80*sqrt(5)*cos(x)^2 + 31*sqrt(5))*sqrt(5*cos(x)^2 - 3)/((25*cos(x)^4 - 35*cos(x)^2 + 12)*sin(x))) - 5*sqrt(5*cos(x)^2 - 3)*sin(x))/(5*cos(x)^2 - 3)","B",0
424,1,131,0,1.518240," ","integrate(sin(5*x)/(5*cos(x)^2+9*sin(x)^2)^(5/2),x, algorithm=""fricas"")","\frac{243 \, {\left(16 \, \cos\left(x\right)^{4} - 72 \, \cos\left(x\right)^{2} + 81\right)} \arctan\left(-\frac{81 \, \cos\left(x\right) \sin\left(x\right) - 4 \, {\left(8 \, \cos\left(x\right)^{3} - 9 \, \cos\left(x\right)\right)} \sqrt{-4 \, \cos\left(x\right)^{2} + 9}}{64 \, \cos\left(x\right)^{4} - 225 \, \cos\left(x\right)^{2} + 81}\right) - 243 \, {\left(16 \, \cos\left(x\right)^{4} - 72 \, \cos\left(x\right)^{2} + 81\right)} \arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right)}\right) - 80 \, {\left(59 \, \cos\left(x\right)^{3} - 108 \, \cos\left(x\right)\right)} \sqrt{-4 \, \cos\left(x\right)^{2} + 9}}{972 \, {\left(16 \, \cos\left(x\right)^{4} - 72 \, \cos\left(x\right)^{2} + 81\right)}}"," ",0,"1/972*(243*(16*cos(x)^4 - 72*cos(x)^2 + 81)*arctan(-(81*cos(x)*sin(x) - 4*(8*cos(x)^3 - 9*cos(x))*sqrt(-4*cos(x)^2 + 9))/(64*cos(x)^4 - 225*cos(x)^2 + 81)) - 243*(16*cos(x)^4 - 72*cos(x)^2 + 81)*arctan(sin(x)/cos(x)) - 80*(59*cos(x)^3 - 108*cos(x))*sqrt(-4*cos(x)^2 + 9))/(16*cos(x)^4 - 72*cos(x)^2 + 81)","B",0
425,1,1,0,1.464952," ","integrate(cos(x)*cos(2*x)*sin(3*x)/(-5+4*sin(x)^2)^(5/2),x, algorithm=""fricas"")","0"," ",0,"0","A",0
426,-2,0,0,0.000000," ","integrate((-2*cos(x)^3*(-1+sin(x))+cos(2*x)*sin(x))/sin(x)^2/(-5+sin(x)^2)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero","F(-2)",0
427,1,195,0,1.506806," ","integrate(cos(3*x)/(-(-1+8*cos(x)^2)^(1/2)+(3*cos(x)^2-sin(x)^2)^(1/2)),x, algorithm=""fricas"")","-\frac{5}{32} \, \sqrt{2} \arctan\left(\frac{{\left(512 \, \sqrt{2} \cos\left(x\right)^{4} - 576 \, \sqrt{2} \cos\left(x\right)^{2} + 113 \, \sqrt{2}\right)} \sqrt{8 \, \cos\left(x\right)^{2} - 1}}{16 \, {\left(128 \, \cos\left(x\right)^{4} - 88 \, \cos\left(x\right)^{2} + 9\right)} \sin\left(x\right)}\right) - \frac{1}{2} \, \sqrt{8 \, \cos\left(x\right)^{2} - 1} \sin\left(x\right) - \frac{1}{2} \, \sqrt{4 \, \cos\left(x\right)^{2} - 1} \sin\left(x\right) + \frac{3}{8} \, \arctan\left(\frac{4 \, {\left(8 \, \cos\left(x\right)^{2} - 5\right)} \sqrt{4 \, \cos\left(x\right)^{2} - 1} \sin\left(x\right) - 9 \, \cos\left(x\right) \sin\left(x\right)}{64 \, \cos\left(x\right)^{4} - 71 \, \cos\left(x\right)^{2} + 16}\right) + \frac{3}{8} \, \arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right)}\right) + \frac{3}{8} \, \arctan\left(\frac{9 \, \cos\left(x\right)^{2} - 2}{2 \, \sqrt{8 \, \cos\left(x\right)^{2} - 1} \sin\left(x\right)}\right) + \frac{3}{4} \, \arctan\left(\frac{\sqrt{4 \, \cos\left(x\right)^{2} - 1}}{\sin\left(x\right)}\right)"," ",0,"-5/32*sqrt(2)*arctan(1/16*(512*sqrt(2)*cos(x)^4 - 576*sqrt(2)*cos(x)^2 + 113*sqrt(2))*sqrt(8*cos(x)^2 - 1)/((128*cos(x)^4 - 88*cos(x)^2 + 9)*sin(x))) - 1/2*sqrt(8*cos(x)^2 - 1)*sin(x) - 1/2*sqrt(4*cos(x)^2 - 1)*sin(x) + 3/8*arctan((4*(8*cos(x)^2 - 5)*sqrt(4*cos(x)^2 - 1)*sin(x) - 9*cos(x)*sin(x))/(64*cos(x)^4 - 71*cos(x)^2 + 16)) + 3/8*arctan(sin(x)/cos(x)) + 3/8*arctan(1/2*(9*cos(x)^2 - 2)/(sqrt(8*cos(x)^2 - 1)*sin(x))) + 3/4*arctan(sqrt(4*cos(x)^2 - 1)/sin(x))","B",0
428,1,26,0,1.502205," ","integrate((2-3*sin(x)^2)^(3/5)*sin(4*x),x, algorithm=""fricas"")","-\frac{5}{468} \, {\left(144 \, \cos\left(x\right)^{4} - 135 \, \cos\left(x\right)^{2} + 29\right)} {\left(3 \, \cos\left(x\right)^{2} - 1\right)}^{\frac{3}{5}}"," ",0,"-5/468*(144*cos(x)^4 - 135*cos(x)^2 + 29)*(3*cos(x)^2 - 1)^(3/5)","A",0
429,1,77,0,1.324682," ","integrate(cos(x)*cos(2*x)^(1/2),x, algorithm=""fricas"")","-\frac{1}{16} \, \sqrt{2} \arctan\left(\frac{{\left(32 \, \sqrt{2} \cos\left(x\right)^{4} - 48 \, \sqrt{2} \cos\left(x\right)^{2} + 17 \, \sqrt{2}\right)} \sqrt{2 \, \cos\left(x\right)^{2} - 1}}{8 \, {\left(8 \, \cos\left(x\right)^{4} - 10 \, \cos\left(x\right)^{2} + 3\right)} \sin\left(x\right)}\right) + \frac{1}{2} \, \sqrt{2 \, \cos\left(x\right)^{2} - 1} \sin\left(x\right)"," ",0,"-1/16*sqrt(2)*arctan(1/8*(32*sqrt(2)*cos(x)^4 - 48*sqrt(2)*cos(x)^2 + 17*sqrt(2))*sqrt(2*cos(x)^2 - 1)/((8*cos(x)^4 - 10*cos(x)^2 + 3)*sin(x))) + 1/2*sqrt(2*cos(x)^2 - 1)*sin(x)","B",0
430,1,103,0,1.498818," ","integrate(cos(2*x)^(3/2)*sin(x),x, algorithm=""fricas"")","-\frac{1}{8} \, {\left(4 \, \cos\left(x\right)^{3} - 5 \, \cos\left(x\right)\right)} \sqrt{2 \, \cos\left(x\right)^{2} - 1} + \frac{3}{128} \, \sqrt{2} \log\left(2048 \, \cos\left(x\right)^{8} - 2048 \, \cos\left(x\right)^{6} + 640 \, \cos\left(x\right)^{4} - 64 \, \cos\left(x\right)^{2} - 8 \, {\left(128 \, \sqrt{2} \cos\left(x\right)^{7} - 96 \, \sqrt{2} \cos\left(x\right)^{5} + 20 \, \sqrt{2} \cos\left(x\right)^{3} - \sqrt{2} \cos\left(x\right)\right)} \sqrt{2 \, \cos\left(x\right)^{2} - 1} + 1\right)"," ",0,"-1/8*(4*cos(x)^3 - 5*cos(x))*sqrt(2*cos(x)^2 - 1) + 3/128*sqrt(2)*log(2048*cos(x)^8 - 2048*cos(x)^6 + 640*cos(x)^4 - 64*cos(x)^2 - 8*(128*sqrt(2)*cos(x)^7 - 96*sqrt(2)*cos(x)^5 + 20*sqrt(2)*cos(x)^3 - sqrt(2)*cos(x))*sqrt(2*cos(x)^2 - 1) + 1)","B",0
431,1,39,0,1.334725," ","integrate(sin(x)/cos(2*x)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(4 \, \cos\left(x\right)^{3} - 3 \, \cos\left(x\right)\right)} \sqrt{2 \, \cos\left(x\right)^{2} - 1}}{3 \, {\left(4 \, \cos\left(x\right)^{4} - 4 \, \cos\left(x\right)^{2} + 1\right)}}"," ",0,"-1/3*(4*cos(x)^3 - 3*cos(x))*sqrt(2*cos(x)^2 - 1)/(4*cos(x)^4 - 4*cos(x)^2 + 1)","B",0
432,1,118,0,0.965087," ","integrate(cos(2*x)^(3/2)/cos(x)^3,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{2} \arctan\left(\frac{{\left(32 \, \sqrt{2} \cos\left(x\right)^{4} - 48 \, \sqrt{2} \cos\left(x\right)^{2} + 17 \, \sqrt{2}\right)} \sqrt{2 \, \cos\left(x\right)^{2} - 1}}{8 \, {\left(8 \, \cos\left(x\right)^{4} - 10 \, \cos\left(x\right)^{2} + 3\right)} \sin\left(x\right)}\right) \cos\left(x\right)^{2} - 5 \, \arctan\left(\frac{3 \, \cos\left(x\right)^{2} - 2}{2 \, \sqrt{2 \, \cos\left(x\right)^{2} - 1} \sin\left(x\right)}\right) \cos\left(x\right)^{2} + 2 \, \sqrt{2 \, \cos\left(x\right)^{2} - 1} \sin\left(x\right)}{4 \, \cos\left(x\right)^{2}}"," ",0,"-1/4*(2*sqrt(2)*arctan(1/8*(32*sqrt(2)*cos(x)^4 - 48*sqrt(2)*cos(x)^2 + 17*sqrt(2))*sqrt(2*cos(x)^2 - 1)/((8*cos(x)^4 - 10*cos(x)^2 + 3)*sin(x)))*cos(x)^2 - 5*arctan(1/2*(3*cos(x)^2 - 2)/(sqrt(2*cos(x)^2 - 1)*sin(x)))*cos(x)^2 + 2*sqrt(2*cos(x)^2 - 1)*sin(x))/cos(x)^2","B",0
433,1,163,0,1.373167," ","integrate((3*sin(x)^3-cos(x)*sin(4*x))/cos(2*x)^(7/2)/csc(x)^2,x, algorithm=""fricas"")","\frac{15 \, {\left(8 \, \sqrt{2} \cos\left(x\right)^{6} - 12 \, \sqrt{2} \cos\left(x\right)^{4} + 6 \, \sqrt{2} \cos\left(x\right)^{2} - \sqrt{2}\right)} \log\left(2048 \, \cos\left(x\right)^{8} - 2048 \, \cos\left(x\right)^{6} + 640 \, \cos\left(x\right)^{4} - 64 \, \cos\left(x\right)^{2} - 8 \, {\left(128 \, \sqrt{2} \cos\left(x\right)^{7} - 96 \, \sqrt{2} \cos\left(x\right)^{5} + 20 \, \sqrt{2} \cos\left(x\right)^{3} - \sqrt{2} \cos\left(x\right)\right)} \sqrt{2 \, \cos\left(x\right)^{2} - 1} + 1\right) + 16 \, {\left(169 \, \cos\left(x\right)^{5} - 200 \, \cos\left(x\right)^{3} + 60 \, \cos\left(x\right)\right)} \sqrt{2 \, \cos\left(x\right)^{2} - 1}}{240 \, {\left(8 \, \cos\left(x\right)^{6} - 12 \, \cos\left(x\right)^{4} + 6 \, \cos\left(x\right)^{2} - 1\right)}}"," ",0,"1/240*(15*(8*sqrt(2)*cos(x)^6 - 12*sqrt(2)*cos(x)^4 + 6*sqrt(2)*cos(x)^2 - sqrt(2))*log(2048*cos(x)^8 - 2048*cos(x)^6 + 640*cos(x)^4 - 64*cos(x)^2 - 8*(128*sqrt(2)*cos(x)^7 - 96*sqrt(2)*cos(x)^5 + 20*sqrt(2)*cos(x)^3 - sqrt(2)*cos(x))*sqrt(2*cos(x)^2 - 1) + 1) + 16*(169*cos(x)^5 - 200*cos(x)^3 + 60*cos(x))*sqrt(2*cos(x)^2 - 1))/(8*cos(x)^6 - 12*cos(x)^4 + 6*cos(x)^2 - 1)","B",0
434,1,130,0,0.796786," ","integrate((4-5*sec(x)^2)^(3/2),x, algorithm=""fricas"")","\frac{7 \, \sqrt{5} \arctan\left(\frac{\sqrt{5} \sqrt{\frac{4 \, \cos\left(x\right)^{2} - 5}{\cos\left(x\right)^{2}}} \cos\left(x\right)}{5 \, \sin\left(x\right)}\right) \cos\left(x\right) + 8 \, \arctan\left(\frac{4 \, {\left(8 \, \cos\left(x\right)^{3} - 9 \, \cos\left(x\right)\right)} \sqrt{\frac{4 \, \cos\left(x\right)^{2} - 5}{\cos\left(x\right)^{2}}} \sin\left(x\right) + \cos\left(x\right) \sin\left(x\right)}{64 \, \cos\left(x\right)^{4} - 143 \, \cos\left(x\right)^{2} + 80}\right) \cos\left(x\right) - 8 \, \arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right)}\right) \cos\left(x\right) - 5 \, \sqrt{\frac{4 \, \cos\left(x\right)^{2} - 5}{\cos\left(x\right)^{2}}} \sin\left(x\right)}{2 \, \cos\left(x\right)}"," ",0,"1/2*(7*sqrt(5)*arctan(1/5*sqrt(5)*sqrt((4*cos(x)^2 - 5)/cos(x)^2)*cos(x)/sin(x))*cos(x) + 8*arctan((4*(8*cos(x)^3 - 9*cos(x))*sqrt((4*cos(x)^2 - 5)/cos(x)^2)*sin(x) + cos(x)*sin(x))/(64*cos(x)^4 - 143*cos(x)^2 + 80))*cos(x) - 8*arctan(sin(x)/cos(x))*cos(x) - 5*sqrt((4*cos(x)^2 - 5)/cos(x)^2)*sin(x))/cos(x)","B",0
435,1,115,0,0.926702," ","integrate(1/(4-5*sec(x)^2)^(3/2),x, algorithm=""fricas"")","-\frac{20 \, \sqrt{\frac{4 \, \cos\left(x\right)^{2} - 5}{\cos\left(x\right)^{2}}} \cos\left(x\right) \sin\left(x\right) - {\left(4 \, \cos\left(x\right)^{2} - 5\right)} \arctan\left(\frac{4 \, {\left(8 \, \cos\left(x\right)^{3} - 9 \, \cos\left(x\right)\right)} \sqrt{\frac{4 \, \cos\left(x\right)^{2} - 5}{\cos\left(x\right)^{2}}} \sin\left(x\right) + \cos\left(x\right) \sin\left(x\right)}{64 \, \cos\left(x\right)^{4} - 143 \, \cos\left(x\right)^{2} + 80}\right) + {\left(4 \, \cos\left(x\right)^{2} - 5\right)} \arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right)}\right)}{16 \, {\left(4 \, \cos\left(x\right)^{2} - 5\right)}}"," ",0,"-1/16*(20*sqrt((4*cos(x)^2 - 5)/cos(x)^2)*cos(x)*sin(x) - (4*cos(x)^2 - 5)*arctan((4*(8*cos(x)^3 - 9*cos(x))*sqrt((4*cos(x)^2 - 5)/cos(x)^2)*sin(x) + cos(x)*sin(x))/(64*cos(x)^4 - 143*cos(x)^2 + 80)) + (4*cos(x)^2 - 5)*arctan(sin(x)/cos(x)))/(4*cos(x)^2 - 5)","B",0
436,1,97,0,1.118209," ","integrate((-2*cot(x)^2+sin(x))/(1+5*tan(x)^2)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(4 \, \cos\left(x\right)^{2} - 5\right)} \log\left(\sqrt{-\frac{4 \, \cos\left(x\right)^{2} - 5}{\cos\left(x\right)^{2}}} \cos\left(x\right) - 2 \, \sin\left(x\right)\right) \sin\left(x\right) + {\left(164 \, \cos\left(x\right)^{3} - {\left(2 \, \cos\left(x\right)^{3} - 5 \, \cos\left(x\right)\right)} \sin\left(x\right) - 180 \, \cos\left(x\right)\right)} \sqrt{-\frac{4 \, \cos\left(x\right)^{2} - 5}{\cos\left(x\right)^{2}}}}{8 \, {\left(4 \, \cos\left(x\right)^{2} - 5\right)} \sin\left(x\right)}"," ",0,"1/8*(2*(4*cos(x)^2 - 5)*log(sqrt(-(4*cos(x)^2 - 5)/cos(x)^2)*cos(x) - 2*sin(x))*sin(x) + (164*cos(x)^3 - (2*cos(x)^3 - 5*cos(x))*sin(x) - 180*cos(x))*sqrt(-(4*cos(x)^2 - 5)/cos(x)^2))/((4*cos(x)^2 - 5)*sin(x))","A",0
437,1,33,0,1.552422," ","integrate((-3+cos(2*x))/cos(x)^4/(4-cot(x)^2)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(\cos\left(x\right)^{2} + 1\right)} \sqrt{\frac{5 \, \cos\left(x\right)^{2} - 4}{\cos\left(x\right)^{2} - 1}} \sin\left(x\right)}{3 \, \cos\left(x\right)^{3}}"," ",0,"-1/3*(cos(x)^2 + 1)*sqrt((5*cos(x)^2 - 4)/(cos(x)^2 - 1))*sin(x)/cos(x)^3","A",0
438,1,257,0,1.823046," ","integrate((3+sin(x)^2)*tan(x)^3/(-2+cos(x)^2)/(5-4*sec(x)^2)^(3/2),x, algorithm=""fricas"")","-\frac{480 \, \sqrt{\frac{5 \, \cos\left(x\right)^{2} - 4}{\cos\left(x\right)^{2}}} \cos\left(x\right)^{2} - 18 \, {\left(5 \, \sqrt{5} \cos\left(x\right)^{2} - 4 \, \sqrt{5}\right)} \log\left(625 \, \cos\left(x\right)^{8} - 1000 \, \cos\left(x\right)^{6} + 500 \, \cos\left(x\right)^{4} - 80 \, \cos\left(x\right)^{2} - {\left(125 \, \sqrt{5} \cos\left(x\right)^{8} - 150 \, \sqrt{5} \cos\left(x\right)^{6} + 50 \, \sqrt{5} \cos\left(x\right)^{4} - 4 \, \sqrt{5} \cos\left(x\right)^{2}\right)} \sqrt{\frac{5 \, \cos\left(x\right)^{2} - 4}{\cos\left(x\right)^{2}}} + 2\right) - 25 \, {\left(5 \, \sqrt{3} \cos\left(x\right)^{2} - 4 \, \sqrt{3}\right)} \log\left(\frac{1921 \, \cos\left(x\right)^{8} - 3464 \, \cos\left(x\right)^{6} + 2040 \, \cos\left(x\right)^{4} - 416 \, \cos\left(x\right)^{2} - 8 \, {\left(62 \, \sqrt{3} \cos\left(x\right)^{8} - 87 \, \sqrt{3} \cos\left(x\right)^{6} + 36 \, \sqrt{3} \cos\left(x\right)^{4} - 4 \, \sqrt{3} \cos\left(x\right)^{2}\right)} \sqrt{\frac{5 \, \cos\left(x\right)^{2} - 4}{\cos\left(x\right)^{2}}} + 16}{\cos\left(x\right)^{8} - 8 \, \cos\left(x\right)^{6} + 24 \, \cos\left(x\right)^{4} - 32 \, \cos\left(x\right)^{2} + 16}\right)}{3600 \, {\left(5 \, \cos\left(x\right)^{2} - 4\right)}}"," ",0,"-1/3600*(480*sqrt((5*cos(x)^2 - 4)/cos(x)^2)*cos(x)^2 - 18*(5*sqrt(5)*cos(x)^2 - 4*sqrt(5))*log(625*cos(x)^8 - 1000*cos(x)^6 + 500*cos(x)^4 - 80*cos(x)^2 - (125*sqrt(5)*cos(x)^8 - 150*sqrt(5)*cos(x)^6 + 50*sqrt(5)*cos(x)^4 - 4*sqrt(5)*cos(x)^2)*sqrt((5*cos(x)^2 - 4)/cos(x)^2) + 2) - 25*(5*sqrt(3)*cos(x)^2 - 4*sqrt(3))*log((1921*cos(x)^8 - 3464*cos(x)^6 + 2040*cos(x)^4 - 416*cos(x)^2 - 8*(62*sqrt(3)*cos(x)^8 - 87*sqrt(3)*cos(x)^6 + 36*sqrt(3)*cos(x)^4 - 4*sqrt(3)*cos(x)^2)*sqrt((5*cos(x)^2 - 4)/cos(x)^2) + 16)/(cos(x)^8 - 8*cos(x)^6 + 24*cos(x)^4 - 32*cos(x)^2 + 16)))/(5*cos(x)^2 - 4)","B",0
439,1,84,0,1.577374," ","integrate((sec(x)^2-3*(4*sec(x)^2+5*tan(x)^2)^(1/2)*tan(x))/sin(x)^2/(4*sec(x)^2+5*tan(x)^2)^(3/2),x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, \cos\left(x\right)^{2} - 9\right)} \log\left(-\frac{5}{4} \, \cos\left(x\right)^{2} + \frac{9}{4}\right) \sin\left(x\right) - 6 \, {\left(5 \, \cos\left(x\right)^{2} - 9\right)} \log\left(\frac{1}{2} \, \sin\left(x\right)\right) \sin\left(x\right) - {\left(5 \, \cos\left(x\right)^{3} - 7 \, \cos\left(x\right)\right)} \sqrt{-\frac{5 \, \cos\left(x\right)^{2} - 9}{\cos\left(x\right)^{2}}}}{8 \, {\left(5 \, \cos\left(x\right)^{2} - 9\right)} \sin\left(x\right)}"," ",0,"1/8*(3*(5*cos(x)^2 - 9)*log(-5/4*cos(x)^2 + 9/4)*sin(x) - 6*(5*cos(x)^2 - 9)*log(1/2*sin(x))*sin(x) - (5*cos(x)^3 - 7*cos(x))*sqrt(-(5*cos(x)^2 - 9)/cos(x)^2))/((5*cos(x)^2 - 9)*sin(x))","A",0
440,1,50,0,1.557663," ","integrate(tan(x)*(1+5*tan(x)^2)^(5/2),x, algorithm=""fricas"")","\frac{1}{15} \, {\left(75 \, \tan\left(x\right)^{4} - 70 \, \tan\left(x\right)^{2} + 223\right)} \sqrt{5 \, \tan\left(x\right)^{2} + 1} - 16 \, \arctan\left(\frac{5 \, \tan\left(x\right)^{2} - 3}{4 \, \sqrt{5 \, \tan\left(x\right)^{2} + 1}}\right)"," ",0,"1/15*(75*tan(x)^4 - 70*tan(x)^2 + 223)*sqrt(5*tan(x)^2 + 1) - 16*arctan(1/4*(5*tan(x)^2 - 3)/sqrt(5*tan(x)^2 + 1))","A",0
441,1,76,0,1.361015," ","integrate(tan(x)/(1+5*tan(x)^2)^(5/2),x, algorithm=""fricas"")","\frac{3 \, {\left(25 \, \tan\left(x\right)^{4} + 10 \, \tan\left(x\right)^{2} + 1\right)} \arctan\left(\frac{5 \, \tan\left(x\right)^{2} - 3}{4 \, \sqrt{5 \, \tan\left(x\right)^{2} + 1}}\right) + 4 \, {\left(15 \, \tan\left(x\right)^{2} - 1\right)} \sqrt{5 \, \tan\left(x\right)^{2} + 1}}{192 \, {\left(25 \, \tan\left(x\right)^{4} + 10 \, \tan\left(x\right)^{2} + 1\right)}}"," ",0,"1/192*(3*(25*tan(x)^4 + 10*tan(x)^2 + 1)*arctan(1/4*(5*tan(x)^2 - 3)/sqrt(5*tan(x)^2 + 1)) + 4*(15*tan(x)^2 - 1)*sqrt(5*tan(x)^2 + 1))/(25*tan(x)^4 + 10*tan(x)^2 + 1)","A",0
442,-1,0,0,0.000000," ","integrate(tan(x)/(a^3+b^3*tan(x)^2)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
443,1,117,0,3.755381," ","integrate(tan(x)*(1-7*tan(x)^2)^(2/3),x, algorithm=""fricas"")","2 \, \sqrt{3} \arctan\left(\frac{7 \, \sqrt{3} \tan\left(x\right)^{2} + 4 \, \sqrt{3} {\left(-7 \, \tan\left(x\right)^{2} + 1\right)}^{\frac{2}{3}} - 16 \, \sqrt{3} {\left(-7 \, \tan\left(x\right)^{2} + 1\right)}^{\frac{1}{3}} - \sqrt{3}}{7 \, \tan\left(x\right)^{2} - 65}\right) + \frac{3}{4} \, {\left(-7 \, \tan\left(x\right)^{2} + 1\right)}^{\frac{2}{3}} + \log\left(\frac{7 \, \tan\left(x\right)^{2} + 6 \, {\left(-7 \, \tan\left(x\right)^{2} + 1\right)}^{\frac{2}{3}} - 12 \, {\left(-7 \, \tan\left(x\right)^{2} + 1\right)}^{\frac{1}{3}} + 7}{\tan\left(x\right)^{2} + 1}\right)"," ",0,"2*sqrt(3)*arctan((7*sqrt(3)*tan(x)^2 + 4*sqrt(3)*(-7*tan(x)^2 + 1)^(2/3) - 16*sqrt(3)*(-7*tan(x)^2 + 1)^(1/3) - sqrt(3))/(7*tan(x)^2 - 65)) + 3/4*(-7*tan(x)^2 + 1)^(2/3) + log((7*tan(x)^2 + 6*(-7*tan(x)^2 + 1)^(2/3) - 12*(-7*tan(x)^2 + 1)^(1/3) + 7)/(tan(x)^2 + 1))","B",0
444,-1,0,0,0.000000," ","integrate(cot(x)/(a^4+b^4*csc(x)^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
445,-1,0,0,0.000000," ","integrate(cot(x)/(a^4-b^4*csc(x)^2)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
446,-1,0,0,0.000000," ","integrate(tan(x)*((1-3*sec(x)^2)^(1/3)*sin(x)^2+3*tan(x)^2)/cos(x)^2/(1-3*sec(x)^2)^(5/6)/(1-(1-3*sec(x)^2)^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
447,1,271,0,1.486377," ","integrate((-cos(2*x)+2*tan(x)^2)/cos(x)^2/(tan(x)*tan(2*x))^(3/2),x, algorithm=""fricas"")","-\frac{24 \, {\left(\cos\left(x\right)^{5} - \cos\left(x\right)^{3}\right)} \log\left(-\frac{4 \, \sqrt{2} {\left(8 \, \cos\left(x\right)^{5} - 6 \, \cos\left(x\right)^{3} + \cos\left(x\right)\right)} \sqrt{-\frac{\cos\left(x\right)^{2} - 1}{2 \, \cos\left(x\right)^{2} - 1}} - {\left(32 \, \cos\left(x\right)^{4} - 16 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{\sin\left(x\right)}\right) \sin\left(x\right) - 33 \, {\left(\sqrt{2} \cos\left(x\right)^{5} - \sqrt{2} \cos\left(x\right)^{3}\right)} \log\left(\frac{4 \, {\left(\sqrt{2} {\left(2 \, {\left(3 \, \sqrt{2} - 4\right)} \cos\left(x\right)^{3} - {\left(3 \, \sqrt{2} - 4\right)} \cos\left(x\right)\right)} \sqrt{-\frac{\cos\left(x\right)^{2} - 1}{2 \, \cos\left(x\right)^{2} - 1}} + {\left(3 \, {\left(2 \, \sqrt{2} - 3\right)} \cos\left(x\right)^{2} - 2 \, \sqrt{2} + 3\right)} \sin\left(x\right)\right)}}{{\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)}\right) \sin\left(x\right) - 2 \, \sqrt{2} {\left(22 \, \cos\left(x\right)^{6} - 47 \, \cos\left(x\right)^{4} + 26 \, \cos\left(x\right)^{2} - 4\right)} \sqrt{-\frac{\cos\left(x\right)^{2} - 1}{2 \, \cos\left(x\right)^{2} - 1}} - 44 \, {\left(\cos\left(x\right)^{5} - \cos\left(x\right)^{3}\right)} \sin\left(x\right)}{48 \, {\left(\cos\left(x\right)^{5} - \cos\left(x\right)^{3}\right)} \sin\left(x\right)}"," ",0,"-1/48*(24*(cos(x)^5 - cos(x)^3)*log(-(4*sqrt(2)*(8*cos(x)^5 - 6*cos(x)^3 + cos(x))*sqrt(-(cos(x)^2 - 1)/(2*cos(x)^2 - 1)) - (32*cos(x)^4 - 16*cos(x)^2 + 1)*sin(x))/sin(x))*sin(x) - 33*(sqrt(2)*cos(x)^5 - sqrt(2)*cos(x)^3)*log(4*(sqrt(2)*(2*(3*sqrt(2) - 4)*cos(x)^3 - (3*sqrt(2) - 4)*cos(x))*sqrt(-(cos(x)^2 - 1)/(2*cos(x)^2 - 1)) + (3*(2*sqrt(2) - 3)*cos(x)^2 - 2*sqrt(2) + 3)*sin(x))/((cos(x)^2 - 1)*sin(x)))*sin(x) - 2*sqrt(2)*(22*cos(x)^6 - 47*cos(x)^4 + 26*cos(x)^2 - 4)*sqrt(-(cos(x)^2 - 1)/(2*cos(x)^2 - 1)) - 44*(cos(x)^5 - cos(x)^3)*sin(x))/((cos(x)^5 - cos(x)^3)*sin(x))","B",0
448,1,185,0,1.356140," ","integrate(tan(x)/(a^3-b^3*cos(x)^n)^(4/3),x, algorithm=""fricas"")","-\frac{2 \, {\left(\sqrt{3} b^{3} \cos\left(x\right)^{n} - \sqrt{3} a^{3}\right)} \arctan\left(\frac{\sqrt{3} a + 2 \, \sqrt{3} {\left(-b^{3} \cos\left(x\right)^{n} + a^{3}\right)}^{\frac{1}{3}}}{3 \, a}\right) - {\left(b^{3} \cos\left(x\right)^{n} - a^{3}\right)} \log\left(a^{2} + {\left(-b^{3} \cos\left(x\right)^{n} + a^{3}\right)}^{\frac{1}{3}} a + {\left(-b^{3} \cos\left(x\right)^{n} + a^{3}\right)}^{\frac{2}{3}}\right) + 2 \, {\left(b^{3} \cos\left(x\right)^{n} - a^{3}\right)} \log\left(-a + {\left(-b^{3} \cos\left(x\right)^{n} + a^{3}\right)}^{\frac{1}{3}}\right) - 6 \, {\left(-b^{3} \cos\left(x\right)^{n} + a^{3}\right)}^{\frac{2}{3}} a}{2 \, {\left(a^{4} b^{3} n \cos\left(x\right)^{n} - a^{7} n\right)}}"," ",0,"-1/2*(2*(sqrt(3)*b^3*cos(x)^n - sqrt(3)*a^3)*arctan(1/3*(sqrt(3)*a + 2*sqrt(3)*(-b^3*cos(x)^n + a^3)^(1/3))/a) - (b^3*cos(x)^n - a^3)*log(a^2 + (-b^3*cos(x)^n + a^3)^(1/3)*a + (-b^3*cos(x)^n + a^3)^(2/3)) + 2*(b^3*cos(x)^n - a^3)*log(-a + (-b^3*cos(x)^n + a^3)^(1/3)) - 6*(-b^3*cos(x)^n + a^3)^(2/3)*a)/(a^4*b^3*n*cos(x)^n - a^7*n)","A",0
449,-1,0,0,0.000000," ","integrate((1+2*cos(x)^9)^(5/6)*tan(x),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
450,1,46,0,1.269422," ","integrate(cot(x)*sin(x)^9/(2-5*sin(x)^3)^(4/3),x, algorithm=""fricas"")","\frac{25 \, \cos\left(x\right)^{6} - 75 \, \cos\left(x\right)^{4} + 75 \, \cos\left(x\right)^{2} + 30 \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right) + 11}{625 \, {\left(5 \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right) + 2\right)}^{\frac{1}{3}}}"," ",0,"1/625*(25*cos(x)^6 - 75*cos(x)^4 + 75*cos(x)^2 + 30*(cos(x)^2 - 1)*sin(x) + 11)/(5*(cos(x)^2 - 1)*sin(x) + 2)^(1/3)","A",0
451,1,35,0,1.556189," ","integrate(tan(x)*(1+(1-8*tan(x)^2)^(1/3))/cos(x)^2/(1-8*tan(x)^2)^(2/3),x, algorithm=""fricas"")","-\frac{3}{32} \, \left(\frac{9 \, \cos\left(x\right)^{2} - 8}{\cos\left(x\right)^{2}}\right)^{\frac{2}{3}} - \frac{3}{16} \, \left(\frac{9 \, \cos\left(x\right)^{2} - 8}{\cos\left(x\right)^{2}}\right)^{\frac{1}{3}}"," ",0,"-3/32*((9*cos(x)^2 - 8)/cos(x)^2)^(2/3) - 3/16*((9*cos(x)^2 - 8)/cos(x)^2)^(1/3)","B",0
452,1,93,0,7.060001," ","integrate(cot(x)*(1+(1-8*tan(x)^2)^(1/3))/cos(x)^2/(1-8*tan(x)^2)^(2/3),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(\frac{16 \, {\left(145 \, \cos\left(x\right)^{4} - 200 \, \cos\left(x\right)^{2} + 3 \, {\left(11 \, \cos\left(x\right)^{4} - 8 \, \cos\left(x\right)^{2}\right)} \left(\frac{9 \, \cos\left(x\right)^{2} - 8}{\cos\left(x\right)^{2}}\right)^{\frac{2}{3}} + 3 \, {\left(19 \, \cos\left(x\right)^{4} - 16 \, \cos\left(x\right)^{2}\right)} \left(\frac{9 \, \cos\left(x\right)^{2} - 8}{\cos\left(x\right)^{2}}\right)^{\frac{1}{3}} + 64\right)}}{\cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} + 1}\right)"," ",0,"-1/2*log(16*(145*cos(x)^4 - 200*cos(x)^2 + 3*(11*cos(x)^4 - 8*cos(x)^2)*((9*cos(x)^2 - 8)/cos(x)^2)^(2/3) + 3*(19*cos(x)^4 - 16*cos(x)^2)*((9*cos(x)^2 - 8)/cos(x)^2)^(1/3) + 64)/(cos(x)^4 - 2*cos(x)^2 + 1))","B",0
453,-1,0,0,0.000000," ","integrate((5*cos(x)^2-(-1+5*sin(x)^2)^(1/2))*tan(x)/(-1+5*sin(x)^2)^(1/4)/(2+(-1+5*sin(x)^2)^(1/2)),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
454,1,26,0,1.707419," ","integrate(cos(x)^4*cos(2*x)^(2/3)*tan(x),x, algorithm=""fricas"")","-\frac{3}{320} \, {\left(20 \, \cos\left(x\right)^{4} - 4 \, \cos\left(x\right)^{2} - 3\right)} {\left(2 \, \cos\left(x\right)^{2} - 1\right)}^{\frac{2}{3}}"," ",0,"-3/320*(20*cos(x)^4 - 4*cos(x)^2 - 3)*(2*cos(x)^2 - 1)^(2/3)","A",0
455,-1,0,0,0.000000," ","integrate(sin(x)^6*tan(x)/cos(2*x)^(3/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
456,1,50,0,1.411838," ","integrate((tan(x)*tan(2*x))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(-\frac{\tan\left(x\right)^{3} - 2 \, \sqrt{2} {\left(\tan\left(x\right)^{2} - 1\right)} \sqrt{-\frac{\tan\left(x\right)^{2}}{\tan\left(x\right)^{2} - 1}} - 3 \, \tan\left(x\right)}{\tan\left(x\right)^{3} + \tan\left(x\right)}\right)"," ",0,"1/2*log(-(tan(x)^3 - 2*sqrt(2)*(tan(x)^2 - 1)*sqrt(-tan(x)^2/(tan(x)^2 - 1)) - 3*tan(x))/(tan(x)^3 + tan(x)))","B",0
457,1,115,0,1.248094," ","integrate((cot(2*x)/cot(x))^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(3 \, \cos\left(2 \, x\right)^{2} + 2 \, \cos\left(2 \, x\right) - 1\right)} \sqrt{\frac{\cos\left(2 \, x\right)}{\cos\left(2 \, x\right) + 1}}}{4 \, \cos\left(2 \, x\right) \sin\left(2 \, x\right)}\right) - \frac{1}{2} \, \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{2} \cos\left(2 \, x\right)^{2} + \sqrt{2} \cos\left(2 \, x\right) - \sqrt{2}\right)} \sqrt{\frac{\cos\left(2 \, x\right)}{\cos\left(2 \, x\right) + 1}}}{4 \, \cos\left(2 \, x\right) \sin\left(2 \, x\right)}\right)"," ",0,"1/4*sqrt(2)*arctan(1/4*sqrt(2)*(3*cos(2*x)^2 + 2*cos(2*x) - 1)*sqrt(cos(2*x)/(cos(2*x) + 1))/(cos(2*x)*sin(2*x))) - 1/2*arctan(1/4*sqrt(2)*(2*sqrt(2)*cos(2*x)^2 + sqrt(2)*cos(2*x) - sqrt(2))*sqrt(cos(2*x)/(cos(2*x) + 1))/(cos(2*x)*sin(2*x)))","B",0
458,1,30,0,1.277224," ","integrate(1/x^5/(x^2+5),x, algorithm=""fricas"")","-\frac{2 \, x^{4} \log\left(x^{2} + 5\right) - 4 \, x^{4} \log\left(x\right) - 10 \, x^{2} + 25}{500 \, x^{4}}"," ",0,"-1/500*(2*x^4*log(x^2 + 5) - 4*x^4*log(x) - 10*x^2 + 25)/x^4","A",0
459,1,32,0,1.363793," ","integrate(1/x^6/(x^2+5),x, algorithm=""fricas"")","-\frac{3 \, \sqrt{5} x^{5} \arctan\left(\frac{1}{5} \, \sqrt{5} x\right) + 15 \, x^{4} - 25 \, x^{2} + 75}{1875 \, x^{5}}"," ",0,"-1/1875*(3*sqrt(5)*x^5*arctan(1/5*sqrt(5)*x) + 15*x^4 - 25*x^2 + 75)/x^5","A",0
460,1,73,0,1.141054," ","integrate(1/x/(x^2-4)^4,x, algorithm=""fricas"")","-\frac{12 \, x^{4} - 120 \, x^{2} + 3 \, {\left(x^{6} - 12 \, x^{4} + 48 \, x^{2} - 64\right)} \log\left(x^{2} - 4\right) - 6 \, {\left(x^{6} - 12 \, x^{4} + 48 \, x^{2} - 64\right)} \log\left(x\right) + 352}{1536 \, {\left(x^{6} - 12 \, x^{4} + 48 \, x^{2} - 64\right)}}"," ",0,"-1/1536*(12*x^4 - 120*x^2 + 3*(x^6 - 12*x^4 + 48*x^2 - 64)*log(x^2 - 4) - 6*(x^6 - 12*x^4 + 48*x^2 - 64)*log(x) + 352)/(x^6 - 12*x^4 + 48*x^2 - 64)","A",0
461,1,65,0,0.740413," ","integrate(1/x/(x^2-2)^(5/2),x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} {\left(x^{4} - 4 \, x^{2} + 4\right)} \arctan\left(-\frac{1}{2} \, \sqrt{2} x + \frac{1}{2} \, \sqrt{2} \sqrt{x^{2} - 2}\right) + {\left(3 \, x^{2} - 8\right)} \sqrt{x^{2} - 2}}{12 \, {\left(x^{4} - 4 \, x^{2} + 4\right)}}"," ",0,"1/12*(3*sqrt(2)*(x^4 - 4*x^2 + 4)*arctan(-1/2*sqrt(2)*x + 1/2*sqrt(2)*sqrt(x^2 - 2)) + (3*x^2 - 8)*sqrt(x^2 - 2))/(x^4 - 4*x^2 + 4)","A",0
462,1,47,0,1.061673," ","integrate((x^2-10)^(5/2)/x,x, algorithm=""fricas"")","\frac{1}{15} \, {\left(3 \, x^{4} - 110 \, x^{2} + 2300\right)} \sqrt{x^{2} - 10} - 200 \, \sqrt{10} \arctan\left(-\frac{1}{10} \, \sqrt{10} x + \frac{1}{10} \, \sqrt{10} \sqrt{x^{2} - 10}\right)"," ",0,"1/15*(3*x^4 - 110*x^2 + 2300)*sqrt(x^2 - 10) - 200*sqrt(10)*arctan(-1/10*sqrt(10)*x + 1/10*sqrt(10)*sqrt(x^2 - 10))","A",0
463,1,15,0,0.861397," ","integrate(x^(1+2*n),x, algorithm=""fricas"")","\frac{x x^{2 \, n + 1}}{2 \, {\left(n + 1\right)}}"," ",0,"1/2*x*x^(2*n + 1)/(n + 1)","A",0
464,1,49,0,0.762503," ","integrate(x^7/(x^2-5)^3,x, algorithm=""fricas"")","\frac{2 \, x^{6} - 20 \, x^{4} - 100 \, x^{2} + 30 \, {\left(x^{4} - 10 \, x^{2} + 25\right)} \log\left(x^{2} - 5\right) + 625}{4 \, {\left(x^{4} - 10 \, x^{2} + 25\right)}}"," ",0,"1/4*(2*x^6 - 20*x^4 - 100*x^2 + 30*(x^4 - 10*x^2 + 25)*log(x^2 - 5) + 625)/(x^4 - 10*x^2 + 25)","A",0
465,1,36,0,0.945021," ","integrate((3*x^5-4*x^3)/(x^2-1)^5,x, algorithm=""fricas"")","-\frac{18 \, x^{4} - 28 \, x^{2} + 7}{24 \, {\left(x^{8} - 4 \, x^{6} + 6 \, x^{4} - 4 \, x^{2} + 1\right)}}"," ",0,"-1/24*(18*x^4 - 28*x^2 + 7)/(x^8 - 4*x^6 + 6*x^4 - 4*x^2 + 1)","A",0
466,1,21,0,0.995985," ","integrate(x^3*(x^2+1)^(9/14),x, algorithm=""fricas"")","\frac{7}{851} \, {\left(23 \, x^{4} + 9 \, x^{2} - 14\right)} {\left(x^{2} + 1\right)}^{\frac{9}{14}}"," ",0,"7/851*(23*x^4 + 9*x^2 - 14)*(x^2 + 1)^(9/14)","A",0
467,1,33,0,1.104860," ","integrate(x^5/(x^2-4)^(13/6),x, algorithm=""fricas"")","\frac{3 \, {\left(7 \, x^{4} - 336 \, x^{2} + 1152\right)} {\left(x^{2} - 4\right)}^{\frac{5}{6}}}{35 \, {\left(x^{4} - 8 \, x^{2} + 16\right)}}"," ",0,"3/35*(7*x^4 - 336*x^2 + 1152)*(x^2 - 4)^(5/6)/(x^4 - 8*x^2 + 16)","A",0
468,1,34,0,0.682925," ","integrate(1/(2*x^2+1)^(5/2),x, algorithm=""fricas"")","\frac{{\left(4 \, x^{3} + 3 \, x\right)} \sqrt{2 \, x^{2} + 1}}{3 \, {\left(4 \, x^{4} + 4 \, x^{2} + 1\right)}}"," ",0,"1/3*(4*x^3 + 3*x)*sqrt(2*x^2 + 1)/(4*x^4 + 4*x^2 + 1)","A",0
469,1,61,0,1.149771," ","integrate(1/(x^2-2*x-1)^(5/2),x, algorithm=""fricas"")","\frac{x^{4} - 4 \, x^{3} + 2 \, x^{2} + {\left(x^{3} - 3 \, x^{2} + 2\right)} \sqrt{x^{2} - 2 \, x - 1} + 4 \, x + 1}{6 \, {\left(x^{4} - 4 \, x^{3} + 2 \, x^{2} + 4 \, x + 1\right)}}"," ",0,"1/6*(x^4 - 4*x^3 + 2*x^2 + (x^3 - 3*x^2 + 2)*sqrt(x^2 - 2*x - 1) + 4*x + 1)/(x^4 - 4*x^3 + 2*x^2 + 4*x + 1)","A",0
470,1,40,0,1.039701," ","integrate(1/x^4/(x^2-8)^(3/2),x, algorithm=""fricas"")","-\frac{x^{5} - 8 \, x^{3} + {\left(x^{4} - 4 \, x^{2} - 8\right)} \sqrt{x^{2} - 8}}{192 \, {\left(x^{5} - 8 \, x^{3}\right)}}"," ",0,"-1/192*(x^5 - 8*x^3 + (x^4 - 4*x^2 - 8)*sqrt(x^2 - 8))/(x^5 - 8*x^3)","A",0
471,1,15,0,0.889280," ","integrate((x^2+5)^2/x^(13/3),x, algorithm=""fricas"")","\frac{3 \, {\left(x^{4} - 5 \, x^{2} - 5\right)}}{2 \, x^{\frac{10}{3}}}"," ",0,"3/2*(x^4 - 5*x^2 - 5)/x^(10/3)","A",0
472,1,74,0,1.113299," ","integrate(1/x^7/(x^2+1)^3,x, algorithm=""fricas"")","-\frac{60 \, x^{8} + 90 \, x^{6} + 20 \, x^{4} - 5 \, x^{2} - 60 \, {\left(x^{10} + 2 \, x^{8} + x^{6}\right)} \log\left(x^{2} + 1\right) + 120 \, {\left(x^{10} + 2 \, x^{8} + x^{6}\right)} \log\left(x\right) + 2}{12 \, {\left(x^{10} + 2 \, x^{8} + x^{6}\right)}}"," ",0,"-1/12*(60*x^8 + 90*x^6 + 20*x^4 - 5*x^2 - 60*(x^10 + 2*x^8 + x^6)*log(x^2 + 1) + 120*(x^10 + 2*x^8 + x^6)*log(x) + 2)/(x^10 + 2*x^8 + x^6)","A",0
473,1,21,0,1.275927," ","integrate(((x^2+2)/x^2)^(7/9)/(x^2+2)^(3/2),x, algorithm=""fricas"")","-\frac{9 \, x \left(\frac{x^{2} + 2}{x^{2}}\right)^{\frac{7}{9}}}{10 \, \sqrt{x^{2} + 2}}"," ",0,"-9/10*x*((x^2 + 2)/x^2)^(7/9)/sqrt(x^2 + 2)","A",0
474,1,69,0,1.237459," ","integrate(x^4/(-x^2+10^(1/2))^(9/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, x^{15} - 160 \, x^{11} - 2600 \, x^{7} + \sqrt{10} {\left(x^{13} - 340 \, x^{9} - 700 \, x^{5}\right)}\right)} \sqrt{-x^{2} + \sqrt{10}}}{350 \, {\left(x^{16} - 40 \, x^{12} + 600 \, x^{8} - 4000 \, x^{4} + 10000\right)}}"," ",0,"-1/350*(2*x^15 - 160*x^11 - 2600*x^7 + sqrt(10)*(x^13 - 340*x^9 - 700*x^5))*sqrt(-x^2 + sqrt(10))/(x^16 - 40*x^12 + 600*x^8 - 4000*x^4 + 10000)","A",0
475,1,41,0,0.844429," ","integrate(x^2/(-x^2+3)^(3/2),x, algorithm=""fricas"")","\frac{{\left(x^{2} - 3\right)} \arctan\left(\frac{\sqrt{-x^{2} + 3}}{x}\right) - \sqrt{-x^{2} + 3} x}{x^{2} - 3}"," ",0,"((x^2 - 3)*arctan(sqrt(-x^2 + 3)/x) - sqrt(-x^2 + 3)*x)/(x^2 - 3)","A",0
476,1,45,0,0.799252," ","integrate((-x^2+25)^(3/2)/x^4,x, algorithm=""fricas"")","-\frac{6 \, x^{3} \arctan\left(\frac{\sqrt{-x^{2} + 25} - 5}{x}\right) - {\left(4 \, x^{2} - 25\right)} \sqrt{-x^{2} + 25}}{3 \, x^{3}}"," ",0,"-1/3*(6*x^3*arctan((sqrt(-x^2 + 25) - 5)/x) - (4*x^2 - 25)*sqrt(-x^2 + 25))/x^3","A",0
477,1,44,0,1.190591," ","integrate(1/(-2*x^2+1)^(7/2),x, algorithm=""fricas"")","-\frac{{\left(32 \, x^{5} - 40 \, x^{3} + 15 \, x\right)} \sqrt{-2 \, x^{2} + 1}}{15 \, {\left(8 \, x^{6} - 12 \, x^{4} + 6 \, x^{2} - 1\right)}}"," ",0,"-1/15*(32*x^5 - 40*x^3 + 15*x)*sqrt(-2*x^2 + 1)/(8*x^6 - 12*x^4 + 6*x^2 - 1)","A",0
478,1,47,0,1.315154," ","integrate(1/(-x^2+6*x-7)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(x^{3} - 9 \, x^{2} + 24 \, x - 18\right)} \sqrt{-x^{2} + 6 \, x - 7}}{6 \, {\left(x^{4} - 12 \, x^{3} + 50 \, x^{2} - 84 \, x + 49\right)}}"," ",0,"-1/6*(x^3 - 9*x^2 + 24*x - 18)*sqrt(-x^2 + 6*x - 7)/(x^4 - 12*x^3 + 50*x^2 - 84*x + 49)","A",0
479,1,32,0,0.888477," ","integrate((-2*x^2-2*x+1)^3,x, algorithm=""fricas"")","-\frac{8}{7} x^{7} - 4 x^{6} - \frac{12}{5} x^{5} + 4 x^{4} + 2 x^{3} - 3 x^{2} + x"," ",0,"-8/7*x^7 - 4*x^6 - 12/5*x^5 + 4*x^4 + 2*x^3 - 3*x^2 + x","A",0
480,1,29,0,0.989676," ","integrate((-1+5*x)*(x^2-x-1)^2,x, algorithm=""fricas"")","\frac{5}{6} x^{6} - \frac{11}{5} x^{5} - \frac{3}{4} x^{4} + \frac{11}{3} x^{3} + \frac{3}{2} x^{2} - x"," ",0,"5/6*x^6 - 11/5*x^5 - 3/4*x^4 + 11/3*x^3 + 3/2*x^2 - x","A",0
481,1,73,0,0.781936," ","integrate((1+3*x)/(2*x^2-8*x+1)^(5/2),x, algorithm=""fricas"")","-\frac{4 \, x^{4} - 32 \, x^{3} + 68 \, x^{2} - {\left(8 \, x^{3} - 48 \, x^{2} + 54 \, x - 1\right)} \sqrt{2 \, x^{2} - 8 \, x + 1} - 16 \, x + 1}{42 \, {\left(4 \, x^{4} - 32 \, x^{3} + 68 \, x^{2} - 16 \, x + 1\right)}}"," ",0,"-1/42*(4*x^4 - 32*x^3 + 68*x^2 - (8*x^3 - 48*x^2 + 54*x - 1)*sqrt(2*x^2 - 8*x + 1) - 16*x + 1)/(4*x^4 - 32*x^3 + 68*x^2 - 16*x + 1)","A",0
482,1,73,0,1.098703," ","integrate((8*x^3-8*x-1)/(-4*x^2+2*x+1)^(5/2),x, algorithm=""fricas"")","-\frac{432 \, x^{4} - 432 \, x^{3} - 108 \, x^{2} - {\left(488 \, x^{3} - 216 \, x^{2} - 156 \, x - 27\right)} \sqrt{-4 \, x^{2} + 2 \, x + 1} + 108 \, x + 27}{75 \, {\left(16 \, x^{4} - 16 \, x^{3} - 4 \, x^{2} + 4 \, x + 1\right)}}"," ",0,"-1/75*(432*x^4 - 432*x^3 - 108*x^2 - (488*x^3 - 216*x^2 - 156*x - 27)*sqrt(-4*x^2 + 2*x + 1) + 108*x + 27)/(16*x^4 - 16*x^3 - 4*x^2 + 4*x + 1)","A",0
483,1,57,0,1.121566," ","integrate(x^2*cos(x)^5,x, algorithm=""fricas"")","\frac{2}{25} \, x \cos\left(x\right)^{5} + \frac{8}{45} \, x \cos\left(x\right)^{3} + \frac{16}{15} \, x \cos\left(x\right) + \frac{1}{3375} \, {\left(27 \, {\left(25 \, x^{2} - 2\right)} \cos\left(x\right)^{4} + 4 \, {\left(225 \, x^{2} - 68\right)} \cos\left(x\right)^{2} + 1800 \, x^{2} - 4144\right)} \sin\left(x\right)"," ",0,"2/25*x*cos(x)^5 + 8/45*x*cos(x)^3 + 16/15*x*cos(x) + 1/3375*(27*(25*x^2 - 2)*cos(x)^4 + 4*(225*x^2 - 68)*cos(x)^2 + 1800*x^2 - 4144)*sin(x)","A",0
484,1,52,0,0.830040," ","integrate(x^3*sin(x)^3,x, algorithm=""fricas"")","\frac{1}{9} \, {\left(3 \, x^{3} - 2 \, x\right)} \cos\left(x\right)^{3} - \frac{1}{3} \, {\left(3 \, x^{3} - 14 \, x\right)} \cos\left(x\right) - \frac{1}{27} \, {\left({\left(9 \, x^{2} - 2\right)} \cos\left(x\right)^{2} - 63 \, x^{2} + 122\right)} \sin\left(x\right)"," ",0,"1/9*(3*x^3 - 2*x)*cos(x)^3 - 1/3*(3*x^3 - 14*x)*cos(x) - 1/27*((9*x^2 - 2)*cos(x)^2 - 63*x^2 + 122)*sin(x)","A",0
485,1,72,0,1.255316," ","integrate(x^2*sin(x)^6,x, algorithm=""fricas"")","-\frac{1}{18} \, x \cos\left(x\right)^{6} + \frac{13}{48} \, x \cos\left(x\right)^{4} + \frac{5}{48} \, x^{3} - \frac{11}{16} \, x \cos\left(x\right)^{2} - \frac{1}{3456} \, {\left(32 \, {\left(18 \, x^{2} - 1\right)} \cos\left(x\right)^{5} - 2 \, {\left(936 \, x^{2} - 97\right)} \cos\left(x\right)^{3} + 3 \, {\left(792 \, x^{2} - 299\right)} \cos\left(x\right)\right)} \sin\left(x\right) + \frac{299}{1152} \, x"," ",0,"-1/18*x*cos(x)^6 + 13/48*x*cos(x)^4 + 5/48*x^3 - 11/16*x*cos(x)^2 - 1/3456*(32*(18*x^2 - 1)*cos(x)^5 - 2*(936*x^2 - 97)*cos(x)^3 + 3*(792*x^2 - 299)*cos(x))*sin(x) + 299/1152*x","A",0
486,1,36,0,1.199668," ","integrate(x^2*cos(x)*sin(x)^2,x, algorithm=""fricas"")","-\frac{2}{9} \, x \cos\left(x\right)^{3} + \frac{2}{3} \, x \cos\left(x\right) - \frac{1}{27} \, {\left({\left(9 \, x^{2} - 2\right)} \cos\left(x\right)^{2} - 9 \, x^{2} + 14\right)} \sin\left(x\right)"," ",0,"-2/9*x*cos(x)^3 + 2/3*x*cos(x) - 1/27*((9*x^2 - 2)*cos(x)^2 - 9*x^2 + 14)*sin(x)","A",0
487,1,45,0,1.093097," ","integrate(x*cos(x)^4/sin(x)^2,x, algorithm=""fricas"")","\frac{4 \, x \cos\left(x\right)^{3} - 12 \, x \cos\left(x\right) - {\left(6 \, x^{2} + 2 \, \cos\left(x\right)^{2} - 1\right)} \sin\left(x\right) + 8 \, \log\left(\frac{1}{2} \, \sin\left(x\right)\right) \sin\left(x\right)}{8 \, \sin\left(x\right)}"," ",0,"1/8*(4*x*cos(x)^3 - 12*x*cos(x) - (6*x^2 + 2*cos(x)^2 - 1)*sin(x) + 8*log(1/2*sin(x))*sin(x))/sin(x)","A",0
488,1,47,0,1.202008," ","integrate(x*sin(x)^3/cos(x)^4,x, algorithm=""fricas"")","\frac{5 \, \cos\left(x\right)^{3} \log\left(\sin\left(x\right) + 1\right) - 5 \, \cos\left(x\right)^{3} \log\left(-\sin\left(x\right) + 1\right) - 12 \, x \cos\left(x\right)^{2} - 2 \, \cos\left(x\right) \sin\left(x\right) + 4 \, x}{12 \, \cos\left(x\right)^{3}}"," ",0,"1/12*(5*cos(x)^3*log(sin(x) + 1) - 5*cos(x)^3*log(-sin(x) + 1) - 12*x*cos(x)^2 - 2*cos(x)*sin(x) + 4*x)/cos(x)^3","A",0
489,1,15,0,0.868915," ","integrate(x*sin(x)/cos(x)^3,x, algorithm=""fricas"")","-\frac{\cos\left(x\right) \sin\left(x\right) - x}{2 \, \cos\left(x\right)^{2}}"," ",0,"-1/2*(cos(x)*sin(x) - x)/cos(x)^2","A",0
490,1,113,0,1.410701," ","integrate(x*sin(x)^3/cos(x),x, algorithm=""fricas"")","\frac{1}{2} \, x \cos\left(x\right)^{2} - \frac{1}{2} \, x \log\left(i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(-i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(-i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) - \frac{1}{4} \, \cos\left(x\right) \sin\left(x\right) - \frac{1}{4} \, x - \frac{1}{2} i \, {\rm Li}_2\left(i \, \cos\left(x\right) + \sin\left(x\right)\right) + \frac{1}{2} i \, {\rm Li}_2\left(i \, \cos\left(x\right) - \sin\left(x\right)\right) + \frac{1}{2} i \, {\rm Li}_2\left(-i \, \cos\left(x\right) + \sin\left(x\right)\right) - \frac{1}{2} i \, {\rm Li}_2\left(-i \, \cos\left(x\right) - \sin\left(x\right)\right)"," ",0,"1/2*x*cos(x)^2 - 1/2*x*log(I*cos(x) + sin(x) + 1) - 1/2*x*log(I*cos(x) - sin(x) + 1) - 1/2*x*log(-I*cos(x) + sin(x) + 1) - 1/2*x*log(-I*cos(x) - sin(x) + 1) - 1/4*cos(x)*sin(x) - 1/4*x - 1/2*I*dilog(I*cos(x) + sin(x)) + 1/2*I*dilog(I*cos(x) - sin(x)) + 1/2*I*dilog(-I*cos(x) + sin(x)) - 1/2*I*dilog(-I*cos(x) - sin(x))","B",0
491,1,138,0,1.474022," ","integrate(x*sin(x)^3/cos(x)^3,x, algorithm=""fricas"")","\frac{x \cos\left(x\right)^{2} \log\left(i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) + x \cos\left(x\right)^{2} \log\left(i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) + x \cos\left(x\right)^{2} \log\left(-i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) + x \cos\left(x\right)^{2} \log\left(-i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) + i \, \cos\left(x\right)^{2} {\rm Li}_2\left(i \, \cos\left(x\right) + \sin\left(x\right)\right) - i \, \cos\left(x\right)^{2} {\rm Li}_2\left(i \, \cos\left(x\right) - \sin\left(x\right)\right) - i \, \cos\left(x\right)^{2} {\rm Li}_2\left(-i \, \cos\left(x\right) + \sin\left(x\right)\right) + i \, \cos\left(x\right)^{2} {\rm Li}_2\left(-i \, \cos\left(x\right) - \sin\left(x\right)\right) - \cos\left(x\right) \sin\left(x\right) + x}{2 \, \cos\left(x\right)^{2}}"," ",0,"1/2*(x*cos(x)^2*log(I*cos(x) + sin(x) + 1) + x*cos(x)^2*log(I*cos(x) - sin(x) + 1) + x*cos(x)^2*log(-I*cos(x) + sin(x) + 1) + x*cos(x)^2*log(-I*cos(x) - sin(x) + 1) + I*cos(x)^2*dilog(I*cos(x) + sin(x)) - I*cos(x)^2*dilog(I*cos(x) - sin(x)) - I*cos(x)^2*dilog(-I*cos(x) + sin(x)) + I*cos(x)^2*dilog(-I*cos(x) - sin(x)) - cos(x)*sin(x) + x)/cos(x)^2","B",0
492,1,13,0,1.254238," ","integrate((2*x+sin(2*x))/(cos(x)+x*sin(x))^2,x, algorithm=""fricas"")","-\frac{2 \, \cos\left(x\right)}{x \sin\left(x\right) + \cos\left(x\right)}"," ",0,"-2*cos(x)/(x*sin(x) + cos(x))","A",0
493,1,19,0,1.153251," ","integrate(x^2/(x*cos(x)-sin(x))^2,x, algorithm=""fricas"")","\frac{x \sin\left(x\right) + \cos\left(x\right)}{x \cos\left(x\right) - \sin\left(x\right)}"," ",0,"(x*sin(x) + cos(x))/(x*cos(x) - sin(x))","A",0
494,1,22,0,1.078249," ","integrate(a^(m*x)*b^(n*x),x, algorithm=""fricas"")","\frac{a^{m x} b^{n x}}{m \log\left(a\right) + n \log\left(b\right)}"," ",0,"a^(m*x)*b^(n*x)/(m*log(a) + n*log(b))","A",0
495,1,52,0,0.850830," ","integrate((a^x-b^x)^2/(a^x)/(b^x),x, algorithm=""fricas"")","-\frac{2 \, {\left(x \log\left(a\right) - x \log\left(b\right)\right)} a^{x} b^{x} - a^{2 \, x} + b^{2 \, x}}{a^{x} b^{x} {\left(\log\left(a\right) - \log\left(b\right)\right)}}"," ",0,"-(2*(x*log(a) - x*log(b))*a^x*b^x - a^(2*x) + b^(2*x))/(a^x*b^x*(log(a) - log(b)))","A",0
496,1,11,0,1.105467," ","integrate(-1/exp(x)+exp(x),x, algorithm=""fricas"")","{\left(e^{\left(2 \, x\right)} + 1\right)} e^{\left(-x\right)}"," ",0,"(e^(2*x) + 1)*e^(-x)","A",0
497,1,21,0,0.749184," ","integrate((-1/exp(x)+exp(x))^2,x, algorithm=""fricas"")","-\frac{1}{2} \, {\left(4 \, x e^{\left(2 \, x\right)} - e^{\left(4 \, x\right)} + 1\right)} e^{\left(-2 \, x\right)}"," ",0,"-1/2*(4*x*e^(2*x) - e^(4*x) + 1)*e^(-2*x)","A",0
498,1,24,0,0.873543," ","integrate((-1/exp(x)+exp(x))^3,x, algorithm=""fricas"")","\frac{1}{3} \, {\left(e^{\left(6 \, x\right)} - 9 \, e^{\left(4 \, x\right)} - 9 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-3 \, x\right)}"," ",0,"1/3*(e^(6*x) - 9*e^(4*x) - 9*e^(2*x) + 1)*e^(-3*x)","A",0
499,1,31,0,0.930633," ","integrate((-1/exp(x)+exp(x))^4,x, algorithm=""fricas"")","\frac{1}{4} \, {\left(24 \, x e^{\left(4 \, x\right)} + e^{\left(8 \, x\right)} - 8 \, e^{\left(6 \, x\right)} + 8 \, e^{\left(2 \, x\right)} - 1\right)} e^{\left(-4 \, x\right)}"," ",0,"1/4*(24*x*e^(4*x) + e^(8*x) - 8*e^(6*x) + 8*e^(2*x) - 1)*e^(-4*x)","A",0
500,0,0,0,0.943234," ","integrate((-1/exp(x)+exp(x))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(-e^{\left(-x\right)} + e^{x}\right)}^{n}, x\right)"," ",0,"integral((-e^(-x) + e^x)^n, x)","F",0
501,1,39,0,1.144995," ","integrate((1/(a^(4*x))-a^(2*x))^3,x, algorithm=""fricas"")","\frac{36 \, a^{12 \, x} x \log\left(a\right) - 2 \, a^{18 \, x} + 6 \, a^{6 \, x} - 1}{12 \, a^{12 \, x} \log\left(a\right)}"," ",0,"1/12*(36*a^(12*x)*x*log(a) - 2*a^(18*x) + 6*a^(6*x) - 1)/(a^(12*x)*log(a))","A",0
502,1,26,0,0.924763," ","integrate(a^(k*x)+a^(l*x),x, algorithm=""fricas"")","\frac{a^{l x} k + a^{k x} l}{k l \log\left(a\right)}"," ",0,"(a^(l*x)*k + a^(k*x)*l)/(k*l*log(a))","A",0
503,1,62,0,0.766331," ","integrate((a^(k*x)+a^(l*x))^2,x, algorithm=""fricas"")","\frac{4 \, a^{k x} a^{l x} k l + {\left(k l + l^{2}\right)} a^{2 \, k x} + {\left(k^{2} + k l\right)} a^{2 \, l x}}{2 \, {\left(k^{2} l + k l^{2}\right)} \log\left(a\right)}"," ",0,"1/2*(4*a^(k*x)*a^(l*x)*k*l + (k*l + l^2)*a^(2*k*x) + (k^2 + k*l)*a^(2*l*x))/((k^2*l + k*l^2)*log(a))","A",0
504,1,130,0,1.002146," ","integrate((a^(k*x)+a^(l*x))^3,x, algorithm=""fricas"")","\frac{9 \, {\left(2 \, k^{2} l + k l^{2}\right)} a^{k x} a^{2 \, l x} + 9 \, {\left(k^{2} l + 2 \, k l^{2}\right)} a^{2 \, k x} a^{l x} + {\left(2 \, k^{2} l + 5 \, k l^{2} + 2 \, l^{3}\right)} a^{3 \, k x} + {\left(2 \, k^{3} + 5 \, k^{2} l + 2 \, k l^{2}\right)} a^{3 \, l x}}{3 \, {\left(2 \, k^{3} l + 5 \, k^{2} l^{2} + 2 \, k l^{3}\right)} \log\left(a\right)}"," ",0,"1/3*(9*(2*k^2*l + k*l^2)*a^(k*x)*a^(2*l*x) + 9*(k^2*l + 2*k*l^2)*a^(2*k*x)*a^(l*x) + (2*k^2*l + 5*k*l^2 + 2*l^3)*a^(3*k*x) + (2*k^3 + 5*k^2*l + 2*k*l^2)*a^(3*l*x))/((2*k^3*l + 5*k^2*l^2 + 2*k*l^3)*log(a))","A",0
505,1,205,0,1.340520," ","integrate((a^(k*x)+a^(l*x))^4,x, algorithm=""fricas"")","\frac{16 \, {\left(3 \, k^{3} l + 4 \, k^{2} l^{2} + k l^{3}\right)} a^{k x} a^{3 \, l x} + 12 \, {\left(3 \, k^{3} l + 10 \, k^{2} l^{2} + 3 \, k l^{3}\right)} a^{2 \, k x} a^{2 \, l x} + 16 \, {\left(k^{3} l + 4 \, k^{2} l^{2} + 3 \, k l^{3}\right)} a^{3 \, k x} a^{l x} + {\left(3 \, k^{3} l + 13 \, k^{2} l^{2} + 13 \, k l^{3} + 3 \, l^{4}\right)} a^{4 \, k x} + {\left(3 \, k^{4} + 13 \, k^{3} l + 13 \, k^{2} l^{2} + 3 \, k l^{3}\right)} a^{4 \, l x}}{4 \, {\left(3 \, k^{4} l + 13 \, k^{3} l^{2} + 13 \, k^{2} l^{3} + 3 \, k l^{4}\right)} \log\left(a\right)}"," ",0,"1/4*(16*(3*k^3*l + 4*k^2*l^2 + k*l^3)*a^(k*x)*a^(3*l*x) + 12*(3*k^3*l + 10*k^2*l^2 + 3*k*l^3)*a^(2*k*x)*a^(2*l*x) + 16*(k^3*l + 4*k^2*l^2 + 3*k*l^3)*a^(3*k*x)*a^(l*x) + (3*k^3*l + 13*k^2*l^2 + 13*k*l^3 + 3*l^4)*a^(4*k*x) + (3*k^4 + 13*k^3*l + 13*k^2*l^2 + 3*k*l^3)*a^(4*l*x))/((3*k^4*l + 13*k^3*l^2 + 13*k^2*l^3 + 3*k*l^4)*log(a))","B",0
506,0,0,0,1.388772," ","integrate((a^(k*x)+a^(l*x))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{k x} + a^{l x}\right)}^{n}, x\right)"," ",0,"integral((a^(k*x) + a^(l*x))^n, x)","F",0
507,1,28,0,1.659281," ","integrate(a^(k*x)-a^(l*x),x, algorithm=""fricas"")","-\frac{a^{l x} k - a^{k x} l}{k l \log\left(a\right)}"," ",0,"-(a^(l*x)*k - a^(k*x)*l)/(k*l*log(a))","A",0
508,1,64,0,1.379570," ","integrate((a^(k*x)-a^(l*x))^2,x, algorithm=""fricas"")","-\frac{4 \, a^{k x} a^{l x} k l - {\left(k l + l^{2}\right)} a^{2 \, k x} - {\left(k^{2} + k l\right)} a^{2 \, l x}}{2 \, {\left(k^{2} l + k l^{2}\right)} \log\left(a\right)}"," ",0,"-1/2*(4*a^(k*x)*a^(l*x)*k*l - (k*l + l^2)*a^(2*k*x) - (k^2 + k*l)*a^(2*l*x))/((k^2*l + k*l^2)*log(a))","A",0
509,1,131,0,1.340434," ","integrate((a^(k*x)-a^(l*x))^3,x, algorithm=""fricas"")","\frac{9 \, {\left(2 \, k^{2} l + k l^{2}\right)} a^{k x} a^{2 \, l x} - 9 \, {\left(k^{2} l + 2 \, k l^{2}\right)} a^{2 \, k x} a^{l x} + {\left(2 \, k^{2} l + 5 \, k l^{2} + 2 \, l^{3}\right)} a^{3 \, k x} - {\left(2 \, k^{3} + 5 \, k^{2} l + 2 \, k l^{2}\right)} a^{3 \, l x}}{3 \, {\left(2 \, k^{3} l + 5 \, k^{2} l^{2} + 2 \, k l^{3}\right)} \log\left(a\right)}"," ",0,"1/3*(9*(2*k^2*l + k*l^2)*a^(k*x)*a^(2*l*x) - 9*(k^2*l + 2*k*l^2)*a^(2*k*x)*a^(l*x) + (2*k^2*l + 5*k*l^2 + 2*l^3)*a^(3*k*x) - (2*k^3 + 5*k^2*l + 2*k*l^2)*a^(3*l*x))/((2*k^3*l + 5*k^2*l^2 + 2*k*l^3)*log(a))","A",0
510,1,207,0,1.288629," ","integrate((a^(k*x)-a^(l*x))^4,x, algorithm=""fricas"")","-\frac{16 \, {\left(3 \, k^{3} l + 4 \, k^{2} l^{2} + k l^{3}\right)} a^{k x} a^{3 \, l x} - 12 \, {\left(3 \, k^{3} l + 10 \, k^{2} l^{2} + 3 \, k l^{3}\right)} a^{2 \, k x} a^{2 \, l x} + 16 \, {\left(k^{3} l + 4 \, k^{2} l^{2} + 3 \, k l^{3}\right)} a^{3 \, k x} a^{l x} - {\left(3 \, k^{3} l + 13 \, k^{2} l^{2} + 13 \, k l^{3} + 3 \, l^{4}\right)} a^{4 \, k x} - {\left(3 \, k^{4} + 13 \, k^{3} l + 13 \, k^{2} l^{2} + 3 \, k l^{3}\right)} a^{4 \, l x}}{4 \, {\left(3 \, k^{4} l + 13 \, k^{3} l^{2} + 13 \, k^{2} l^{3} + 3 \, k l^{4}\right)} \log\left(a\right)}"," ",0,"-1/4*(16*(3*k^3*l + 4*k^2*l^2 + k*l^3)*a^(k*x)*a^(3*l*x) - 12*(3*k^3*l + 10*k^2*l^2 + 3*k*l^3)*a^(2*k*x)*a^(2*l*x) + 16*(k^3*l + 4*k^2*l^2 + 3*k*l^3)*a^(3*k*x)*a^(l*x) - (3*k^3*l + 13*k^2*l^2 + 13*k*l^3 + 3*l^4)*a^(4*k*x) - (3*k^4 + 13*k^3*l + 13*k^2*l^2 + 3*k*l^3)*a^(4*l*x))/((3*k^4*l + 13*k^3*l^2 + 13*k^2*l^3 + 3*k*l^4)*log(a))","B",0
511,0,0,0,0.975829," ","integrate((a^(k*x)-a^(l*x))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{k x} - a^{l x}\right)}^{n}, x\right)"," ",0,"integral((a^(k*x) - a^(l*x))^n, x)","F",0
512,1,19,0,1.329439," ","integrate(1+a^(m*x),x, algorithm=""fricas"")","\frac{m x \log\left(a\right) + a^{m x}}{m \log\left(a\right)}"," ",0,"(m*x*log(a) + a^(m*x))/(m*log(a))","A",0
513,1,29,0,1.168081," ","integrate((1+a^(m*x))^2,x, algorithm=""fricas"")","\frac{2 \, m x \log\left(a\right) + a^{2 \, m x} + 4 \, a^{m x}}{2 \, m \log\left(a\right)}"," ",0,"1/2*(2*m*x*log(a) + a^(2*m*x) + 4*a^(m*x))/(m*log(a))","A",0
514,1,39,0,1.272390," ","integrate((1+a^(m*x))^3,x, algorithm=""fricas"")","\frac{6 \, m x \log\left(a\right) + 2 \, a^{3 \, m x} + 9 \, a^{2 \, m x} + 18 \, a^{m x}}{6 \, m \log\left(a\right)}"," ",0,"1/6*(6*m*x*log(a) + 2*a^(3*m*x) + 9*a^(2*m*x) + 18*a^(m*x))/(m*log(a))","A",0
515,1,47,0,1.378552," ","integrate((1+a^(m*x))^4,x, algorithm=""fricas"")","\frac{12 \, m x \log\left(a\right) + 3 \, a^{4 \, m x} + 16 \, a^{3 \, m x} + 36 \, a^{2 \, m x} + 48 \, a^{m x}}{12 \, m \log\left(a\right)}"," ",0,"1/12*(12*m*x*log(a) + 3*a^(4*m*x) + 16*a^(3*m*x) + 36*a^(2*m*x) + 48*a^(m*x))/(m*log(a))","A",0
516,0,0,0,0.882293," ","integrate((1+a^(m*x))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{m x} + 1\right)}^{n}, x\right)"," ",0,"integral((a^(m*x) + 1)^n, x)","F",0
517,1,21,0,0.975120," ","integrate(1-a^(m*x),x, algorithm=""fricas"")","\frac{m x \log\left(a\right) - a^{m x}}{m \log\left(a\right)}"," ",0,"(m*x*log(a) - a^(m*x))/(m*log(a))","A",0
518,1,29,0,1.425123," ","integrate((1-a^(m*x))^2,x, algorithm=""fricas"")","\frac{2 \, m x \log\left(a\right) + a^{2 \, m x} - 4 \, a^{m x}}{2 \, m \log\left(a\right)}"," ",0,"1/2*(2*m*x*log(a) + a^(2*m*x) - 4*a^(m*x))/(m*log(a))","A",0
519,1,39,0,1.320380," ","integrate((1-a^(m*x))^3,x, algorithm=""fricas"")","\frac{6 \, m x \log\left(a\right) - 2 \, a^{3 \, m x} + 9 \, a^{2 \, m x} - 18 \, a^{m x}}{6 \, m \log\left(a\right)}"," ",0,"1/6*(6*m*x*log(a) - 2*a^(3*m*x) + 9*a^(2*m*x) - 18*a^(m*x))/(m*log(a))","A",0
520,1,47,0,1.176007," ","integrate((1-a^(m*x))^4,x, algorithm=""fricas"")","\frac{12 \, m x \log\left(a\right) + 3 \, a^{4 \, m x} - 16 \, a^{3 \, m x} + 36 \, a^{2 \, m x} - 48 \, a^{m x}}{12 \, m \log\left(a\right)}"," ",0,"1/12*(12*m*x*log(a) + 3*a^(4*m*x) - 16*a^(3*m*x) + 36*a^(2*m*x) - 48*a^(m*x))/(m*log(a))","A",0
521,0,0,0,1.115545," ","integrate((1-a^(m*x))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(-a^{m x} + 1\right)}^{n}, x\right)"," ",0,"integral((-a^(m*x) + 1)^n, x)","F",0
522,1,22,0,1.307632," ","integrate(1/(b+a*exp(n*x)),x, algorithm=""fricas"")","\frac{n x - \log\left(a e^{\left(n x\right)} + b\right)}{b n}"," ",0,"(n*x - log(a*e^(n*x) + b))/(b*n)","A",0
523,1,311,0,1.344066," ","integrate(exp(x)/(b+a*exp(3*x)),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} a b \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \log\left(\frac{2 \, a b e^{\left(3 \, x\right)} - 3 \, \left(a b^{2}\right)^{\frac{1}{3}} b e^{x} - b^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b e^{\left(2 \, x\right)} + \left(a b^{2}\right)^{\frac{2}{3}} e^{x} - \left(a b^{2}\right)^{\frac{1}{3}} b\right)} \sqrt{-\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}}}{a e^{\left(3 \, x\right)} + b}\right) - \left(a b^{2}\right)^{\frac{2}{3}} \log\left(a b e^{\left(2 \, x\right)} - \left(a b^{2}\right)^{\frac{2}{3}} e^{x} + \left(a b^{2}\right)^{\frac{1}{3}} b\right) + 2 \, \left(a b^{2}\right)^{\frac{2}{3}} \log\left(a b e^{x} + \left(a b^{2}\right)^{\frac{2}{3}}\right)}{6 \, a b^{2}}, \frac{6 \, \sqrt{\frac{1}{3}} a b \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(a b^{2}\right)^{\frac{2}{3}} e^{x} - \left(a b^{2}\right)^{\frac{1}{3}} b\right)} \sqrt{\frac{\left(a b^{2}\right)^{\frac{1}{3}}}{a}}}{b^{2}}\right) - \left(a b^{2}\right)^{\frac{2}{3}} \log\left(a b e^{\left(2 \, x\right)} - \left(a b^{2}\right)^{\frac{2}{3}} e^{x} + \left(a b^{2}\right)^{\frac{1}{3}} b\right) + 2 \, \left(a b^{2}\right)^{\frac{2}{3}} \log\left(a b e^{x} + \left(a b^{2}\right)^{\frac{2}{3}}\right)}{6 \, a b^{2}}\right]"," ",0,"[1/6*(3*sqrt(1/3)*a*b*sqrt(-(a*b^2)^(1/3)/a)*log((2*a*b*e^(3*x) - 3*(a*b^2)^(1/3)*b*e^x - b^2 + 3*sqrt(1/3)*(2*a*b*e^(2*x) + (a*b^2)^(2/3)*e^x - (a*b^2)^(1/3)*b)*sqrt(-(a*b^2)^(1/3)/a))/(a*e^(3*x) + b)) - (a*b^2)^(2/3)*log(a*b*e^(2*x) - (a*b^2)^(2/3)*e^x + (a*b^2)^(1/3)*b) + 2*(a*b^2)^(2/3)*log(a*b*e^x + (a*b^2)^(2/3)))/(a*b^2), 1/6*(6*sqrt(1/3)*a*b*sqrt((a*b^2)^(1/3)/a)*arctan(sqrt(1/3)*(2*(a*b^2)^(2/3)*e^x - (a*b^2)^(1/3)*b)*sqrt((a*b^2)^(1/3)/a)/b^2) - (a*b^2)^(2/3)*log(a*b*e^(2*x) - (a*b^2)^(2/3)*e^x + (a*b^2)^(1/3)*b) + 2*(a*b^2)^(2/3)*log(a*b*e^x + (a*b^2)^(2/3)))/(a*b^2)]","A",0
524,1,11,0,1.005696," ","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
525,1,39,0,1.008028," ","integrate(exp(4*x)/(1-2*exp(2*x)+3*exp(4*x)),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{2} \arctan\left(\frac{3}{2} \, \sqrt{2} e^{\left(2 \, x\right)} - \frac{1}{2} \, \sqrt{2}\right) + \frac{1}{12} \, \log\left(3 \, e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1\right)"," ",0,"1/12*sqrt(2)*arctan(3/2*sqrt(2)*e^(2*x) - 1/2*sqrt(2)) + 1/12*log(3*e^(4*x) - 2*e^(2*x) + 1)","A",0
526,1,28,0,1.285849," ","integrate((exp(x)+exp(5*x))/(-1+exp(x)-exp(2*x)+exp(3*x)),x, algorithm=""fricas"")","-\arctan\left(e^{x}\right) + \frac{1}{2} \, e^{\left(2 \, x\right)} + e^{x} - \frac{1}{2} \, \log\left(e^{\left(2 \, x\right)} + 1\right) + \log\left(e^{x} - 1\right)"," ",0,"-arctan(e^x) + 1/2*e^(2*x) + e^x - 1/2*log(e^(2*x) + 1) + log(e^x - 1)","A",0
527,1,37,0,1.301674," ","integrate(exp(n*x)*(a+b*exp(n*x))^(r/s),x, algorithm=""fricas"")","\frac{{\left(b s e^{\left(n x\right)} + a s\right)} {\left(b e^{\left(n x\right)} + a\right)}^{\frac{r}{s}}}{b n r + b n s}"," ",0,"(b*s*e^(n*x) + a*s)*(b*e^(n*x) + a)^(r/s)/(b*n*r + b*n*s)","A",0
528,1,56,0,1.276921," ","integrate((1-2*exp(1/3*x))^(1/4),x, algorithm=""fricas"")","12 \, {\left(-2 \, e^{\left(\frac{1}{3} \, x\right)} + 1\right)}^{\frac{1}{4}} - 6 \, \arctan\left({\left(-2 \, e^{\left(\frac{1}{3} \, x\right)} + 1\right)}^{\frac{1}{4}}\right) - 3 \, \log\left({\left(-2 \, e^{\left(\frac{1}{3} \, x\right)} + 1\right)}^{\frac{1}{4}} + 1\right) + 3 \, \log\left({\left(-2 \, e^{\left(\frac{1}{3} \, x\right)} + 1\right)}^{\frac{1}{4}} - 1\right)"," ",0,"12*(-2*e^(1/3*x) + 1)^(1/4) - 6*arctan((-2*e^(1/3*x) + 1)^(1/4)) - 3*log((-2*e^(1/3*x) + 1)^(1/4) + 1) + 3*log((-2*e^(1/3*x) + 1)^(1/4) - 1)","A",0
529,0,0,0,1.108516," ","integrate((a+b*exp(n*x))^(r/s),x, algorithm=""fricas"")","{\rm integral}\left({\left(b e^{\left(n x\right)} + a\right)}^{\frac{r}{s}}, x\right)"," ",0,"integral((b*e^(n*x) + a)^(r/s), x)","F",0
530,1,18,0,1.258475," ","integrate(exp(x)/(a^2+exp(2*x))^(1/2),x, algorithm=""fricas"")","-\log\left(\sqrt{a^{2} + e^{\left(2 \, x\right)}} - e^{x}\right)"," ",0,"-log(sqrt(a^2 + e^(2*x)) - e^x)","A",0
531,1,20,0,1.303765," ","integrate(exp(x)/(-a^2+exp(2*x))^(1/2),x, algorithm=""fricas"")","-\log\left(\sqrt{-a^{2} + e^{\left(2 \, x\right)}} - e^{x}\right)"," ",0,"-log(sqrt(-a^2 + e^(2*x)) - e^x)","A",0
532,1,46,0,1.027814," ","integrate(exp(3/4*x)/(-2+exp(3/4*x))/(-2+exp(3/4*x)+exp(3/2*x))^(1/2),x, algorithm=""fricas"")","-\frac{2}{3} \, \log\left(\sqrt{e^{\left(\frac{3}{2} \, x\right)} + e^{\left(\frac{3}{4} \, x\right)} - 2} - e^{\left(\frac{3}{4} \, x\right)} + 4\right) + \frac{2}{3} \, \log\left(\sqrt{e^{\left(\frac{3}{2} \, x\right)} + e^{\left(\frac{3}{4} \, x\right)} - 2} - e^{\left(\frac{3}{4} \, x\right)}\right)"," ",0,"-2/3*log(sqrt(e^(3/2*x) + e^(3/4*x) - 2) - e^(3/4*x) + 4) + 2/3*log(sqrt(e^(3/2*x) + e^(3/4*x) - 2) - e^(3/4*x))","A",0
533,0,0,0,0.935917," ","integrate((-3+exp(7*x))^(2/3)/exp(2*x),x, algorithm=""fricas"")","{\rm integral}\left({\left(e^{\left(7 \, x\right)} - 3\right)}^{\frac{2}{3}} e^{\left(-2 \, x\right)}, x\right)"," ",0,"integral((e^(7*x) - 3)^(2/3)*e^(-2*x), x)","F",0
534,1,30,0,1.253637," ","integrate(exp(2*x)/(3-exp(1/2*x))^(3/4),x, algorithm=""fricas"")","-\frac{8}{65} \, {\left(5 \, e^{\left(\frac{3}{2} \, x\right)} + 96 \, e^{\left(\frac{1}{2} \, x\right)} + 20 \, e^{x} + 1152\right)} {\left(-e^{\left(\frac{1}{2} \, x\right)} + 3\right)}^{\frac{1}{4}}"," ",0,"-8/65*(5*e^(3/2*x) + 96*e^(1/2*x) + 20*e^x + 1152)*(-e^(1/2*x) + 3)^(1/4)","A",0
535,1,19,0,1.273875," ","integrate(x^3/exp(1/2*x),x, algorithm=""fricas"")","-2 \, {\left(x^{3} + 6 \, x^{2} + 24 \, x + 48\right)} e^{\left(-\frac{1}{2} \, x\right)}"," ",0,"-2*(x^3 + 6*x^2 + 24*x + 48)*e^(-1/2*x)","A",0
536,1,23,0,1.401074," ","integrate(1/exp(1/2*x)/x^3,x, algorithm=""fricas"")","\frac{x^{2} {\rm Ei}\left(-\frac{1}{2} \, x\right) + 2 \, {\left(x - 2\right)} e^{\left(-\frac{1}{2} \, x\right)}}{8 \, x^{2}}"," ",0,"1/8*(x^2*Ei(-1/2*x) + 2*(x - 2)*e^(-1/2*x))/x^2","A",0
537,1,27,0,1.133456," ","integrate(a^(3*x)*x^2,x, algorithm=""fricas"")","\frac{{\left(9 \, x^{2} \log\left(a\right)^{2} - 6 \, x \log\left(a\right) + 2\right)} a^{3 \, x}}{27 \, \log\left(a\right)^{3}}"," ",0,"1/27*(9*x^2*log(a)^2 - 6*x*log(a) + 2)*a^(3*x)/log(a)^3","A",0
538,1,9,0,1.237416," ","integrate(exp(x^2)*x*(x^2+1),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} e^{\left(x^{2}\right)}"," ",0,"1/2*x^2*e^(x^2)","A",0
539,1,33,0,1.361572," ","integrate(x/(exp(-x)+exp(x))^2,x, algorithm=""fricas"")","\frac{2 \, x e^{\left(2 \, x\right)} - {\left(e^{\left(2 \, x\right)} + 1\right)} \log\left(e^{\left(2 \, x\right)} + 1\right)}{4 \, {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"1/4*(2*x*e^(2*x) - (e^(2*x) + 1)*log(e^(2*x) + 1))/(e^(2*x) + 1)","A",0
540,1,12,0,1.048841," ","integrate(exp(x)*(-x^2-x+1)/(-x^2+1)^(1/2),x, algorithm=""fricas"")","\sqrt{-x^{2} + 1} e^{x}"," ",0,"sqrt(-x^2 + 1)*e^x","A",0
541,1,21,0,1.192676," ","integrate(cos(2*x)/exp(3*x),x, algorithm=""fricas"")","-\frac{3}{13} \, \cos\left(2 \, x\right) e^{\left(-3 \, x\right)} + \frac{2}{13} \, e^{\left(-3 \, x\right)} \sin\left(2 \, x\right)"," ",0,"-3/13*cos(2*x)*e^(-3*x) + 2/13*e^(-3*x)*sin(2*x)","A",0
542,1,21,0,1.352529," ","integrate((cos(1/2*x)+sin(1/2*x))/exp(x)^(1/3),x, algorithm=""fricas"")","-\frac{30}{13} \, \cos\left(\frac{1}{2} \, x\right) e^{\left(-\frac{1}{3} \, x\right)} + \frac{6}{13} \, e^{\left(-\frac{1}{3} \, x\right)} \sin\left(\frac{1}{2} \, x\right)"," ",0,"-30/13*cos(1/2*x)*e^(-1/3*x) + 6/13*e^(-1/3*x)*sin(1/2*x)","A",0
543,-2,0,0,0.000000," ","integrate(cos(3/2*x)/(3^(3*x))^(1/4),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
544,1,37,0,1.036620," ","integrate(exp(m*x)*cos(x)^2,x, algorithm=""fricas"")","\frac{2 \, m \cos\left(x\right) e^{\left(m x\right)} \sin\left(x\right) + {\left(m^{2} \cos\left(x\right)^{2} + 2\right)} e^{\left(m x\right)}}{m^{3} + 4 \, m}"," ",0,"(2*m*cos(x)*e^(m*x)*sin(x) + (m^2*cos(x)^2 + 2)*e^(m*x))/(m^3 + 4*m)","A",0
545,1,65,0,1.119974," ","integrate(exp(m*x)*sin(x)^3,x, algorithm=""fricas"")","\frac{{\left(m^{3} - {\left(m^{3} + m\right)} \cos\left(x\right)^{2} + 7 \, m\right)} e^{\left(m x\right)} \sin\left(x\right) + 3 \, {\left({\left(m^{2} + 1\right)} \cos\left(x\right)^{3} - {\left(m^{2} + 3\right)} \cos\left(x\right)\right)} e^{\left(m x\right)}}{m^{4} + 10 \, m^{2} + 9}"," ",0,"((m^3 - (m^3 + m)*cos(x)^2 + 7*m)*e^(m*x)*sin(x) + 3*((m^2 + 1)*cos(x)^3 - (m^2 + 3)*cos(x))*e^(m*x))/(m^4 + 10*m^2 + 9)","A",0
546,1,42,0,1.383523," ","integrate(cos(1/3*x)^3/exp(x)^(1/2),x, algorithm=""fricas"")","\frac{4}{65} \, {\left(13 \, \cos\left(\frac{1}{3} \, x\right)^{2} + 8\right)} e^{\left(-\frac{1}{2} \, x\right)} \sin\left(\frac{1}{3} \, x\right) - \frac{2}{65} \, {\left(13 \, \cos\left(\frac{1}{3} \, x\right)^{3} + 24 \, \cos\left(\frac{1}{3} \, x\right)\right)} e^{\left(-\frac{1}{2} \, x\right)}"," ",0,"4/65*(13*cos(1/3*x)^2 + 8)*e^(-1/2*x)*sin(1/3*x) - 2/65*(13*cos(1/3*x)^3 + 24*cos(1/3*x))*e^(-1/2*x)","A",0
547,1,40,0,1.412061," ","integrate(exp(2*x)*cos(x)^2*sin(x)^2,x, algorithm=""fricas"")","-\frac{1}{10} \, {\left(2 \, \cos\left(x\right)^{3} - \cos\left(x\right)\right)} e^{\left(2 \, x\right)} \sin\left(x\right) - \frac{1}{20} \, {\left(2 \, \cos\left(x\right)^{4} - 2 \, \cos\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)}"," ",0,"-1/10*(2*cos(x)^3 - cos(x))*e^(2*x)*sin(x) - 1/20*(2*cos(x)^4 - 2*cos(x)^2 - 1)*e^(2*x)","A",0
548,1,50,0,1.373842," ","integrate(exp(3*x)*cos(3/2*x)^2*sin(3/2*x)^2,x, algorithm=""fricas"")","-\frac{1}{15} \, {\left(2 \, \cos\left(\frac{3}{2} \, x\right)^{3} - \cos\left(\frac{3}{2} \, x\right)\right)} e^{\left(3 \, x\right)} \sin\left(\frac{3}{2} \, x\right) - \frac{1}{30} \, {\left(2 \, \cos\left(\frac{3}{2} \, x\right)^{4} - 2 \, \cos\left(\frac{3}{2} \, x\right)^{2} - 1\right)} e^{\left(3 \, x\right)}"," ",0,"-1/15*(2*cos(3/2*x)^3 - cos(3/2*x))*e^(3*x)*sin(3/2*x) - 1/30*(2*cos(3/2*x)^4 - 2*cos(3/2*x)^2 - 1)*e^(3*x)","A",0
549,0,0,0,1.244096," ","integrate(exp(m*x)*tan(x)^2,x, algorithm=""fricas"")","{\rm integral}\left(e^{\left(m x\right)} \tan\left(x\right)^{2}, x\right)"," ",0,"integral(e^(m*x)*tan(x)^2, x)","F",0
550,0,0,0,1.381802," ","integrate(exp(m*x)/sin(x)^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{e^{\left(m x\right)}}{\cos\left(x\right)^{2} - 1}, x\right)"," ",0,"integral(-e^(m*x)/(cos(x)^2 - 1), x)","F",0
551,0,0,0,1.263781," ","integrate(exp(m*x)/cos(x)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(m x\right)}}{\cos\left(x\right)^{3}}, x\right)"," ",0,"integral(e^(m*x)/cos(x)^3, x)","F",0
552,0,0,0,0.968286," ","integrate(exp(x)/(1+cos(x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{x}}{\cos\left(x\right) + 1}, x\right)"," ",0,"integral(e^x/(cos(x) + 1), x)","F",0
553,0,0,0,1.151857," ","integrate(exp(x)/(1-cos(x)),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{e^{x}}{\cos\left(x\right) - 1}, x\right)"," ",0,"integral(-e^x/(cos(x) - 1), x)","F",0
554,0,0,0,1.161362," ","integrate(exp(x)/(1+sin(x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{x}}{\sin\left(x\right) + 1}, x\right)"," ",0,"integral(e^x/(sin(x) + 1), x)","F",0
555,0,0,0,1.063069," ","integrate(exp(x)/(1-sin(x)),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{e^{x}}{\sin\left(x\right) - 1}, x\right)"," ",0,"integral(-e^x/(sin(x) - 1), x)","F",0
556,1,12,0,1.147290," ","integrate(exp(x)*(1-sin(x))/(1-cos(x)),x, algorithm=""fricas"")","-\frac{{\left(\cos\left(x\right) + 1\right)} e^{x}}{\sin\left(x\right)}"," ",0,"-(cos(x) + 1)*e^x/sin(x)","A",0
557,0,0,0,1.417173," ","integrate(exp(x)*(1+sin(x))/(1-cos(x)),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{e^{x} \sin\left(x\right) + e^{x}}{\cos\left(x\right) - 1}, x\right)"," ",0,"integral(-(e^x*sin(x) + e^x)/(cos(x) - 1), x)","F",0
558,1,11,0,1.298930," ","integrate(exp(x)*(1+sin(x))/(1+cos(x)),x, algorithm=""fricas"")","\frac{e^{x} \sin\left(x\right)}{\cos\left(x\right) + 1}"," ",0,"e^x*sin(x)/(cos(x) + 1)","A",0
559,0,0,0,1.331623," ","integrate(exp(x)*(1-sin(x))/(1+cos(x)),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{e^{x} \sin\left(x\right) - e^{x}}{\cos\left(x\right) + 1}, x\right)"," ",0,"integral(-(e^x*sin(x) - e^x)/(cos(x) + 1), x)","F",0
560,0,0,0,1.138566," ","integrate(exp(x)*(1-cos(x))/(1-sin(x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(\cos\left(x\right) - 1\right)} e^{x}}{\sin\left(x\right) - 1}, x\right)"," ",0,"integral((cos(x) - 1)*e^x/(sin(x) - 1), x)","F",0
561,1,24,0,1.031880," ","integrate(exp(x)*(1+cos(x))/(1-sin(x)),x, algorithm=""fricas"")","\frac{{\left(\cos\left(x\right) + 1\right)} e^{x} + e^{x} \sin\left(x\right)}{\cos\left(x\right) - \sin\left(x\right) + 1}"," ",0,"((cos(x) + 1)*e^x + e^x*sin(x))/(cos(x) - sin(x) + 1)","A",0
562,0,0,0,1.116942," ","integrate(exp(x)*(1+cos(x))/(1+sin(x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(\cos\left(x\right) + 1\right)} e^{x}}{\sin\left(x\right) + 1}, x\right)"," ",0,"integral((cos(x) + 1)*e^x/(sin(x) + 1), x)","F",0
563,1,24,0,1.298844," ","integrate(exp(x)*(1-cos(x))/(1+sin(x)),x, algorithm=""fricas"")","-\frac{{\left(\cos\left(x\right) + 1\right)} e^{x} - e^{x} \sin\left(x\right)}{\cos\left(x\right) + \sin\left(x\right) + 1}"," ",0,"-((cos(x) + 1)*e^x - e^x*sin(x))/(cos(x) + sin(x) + 1)","A",0
564,1,17,0,1.376566," ","integrate(exp(x)*x*cos(x),x, algorithm=""fricas"")","\frac{1}{2} \, x \cos\left(x\right) e^{x} + \frac{1}{2} \, {\left(x - 1\right)} e^{x} \sin\left(x\right)"," ",0,"1/2*x*cos(x)*e^x + 1/2*(x - 1)*e^x*sin(x)","A",0
565,1,26,0,1.402327," ","integrate(exp(x)*x^2*sin(x),x, algorithm=""fricas"")","-\frac{1}{2} \, {\left(x^{2} - 2 \, x + 1\right)} \cos\left(x\right) e^{x} + \frac{1}{2} \, {\left(x^{2} - 1\right)} e^{x} \sin\left(x\right)"," ",0,"-1/2*(x^2 - 2*x + 1)*cos(x)*e^x + 1/2*(x^2 - 1)*e^x*sin(x)","A",0
566,1,37,0,1.107909," ","integrate(x^2*sin(x)/exp(3*x),x, algorithm=""fricas"")","-\frac{1}{250} \, {\left(25 \, x^{2} + 30 \, x + 13\right)} \cos\left(x\right) e^{\left(-3 \, x\right)} - \frac{1}{250} \, {\left(75 \, x^{2} + 40 \, x + 9\right)} e^{\left(-3 \, x\right)} \sin\left(x\right)"," ",0,"-1/250*(25*x^2 + 30*x + 13)*cos(x)*e^(-3*x) - 1/250*(75*x^2 + 40*x + 9)*e^(-3*x)*sin(x)","A",0
567,1,72,0,1.334842," ","integrate(exp(1/2*x)*x^2*cos(x)^3,x, algorithm=""fricas"")","\frac{12}{6331625} \, {\left(125 \, {\left(1369 \, x^{2} - 296 \, x - 264\right)} \cos\left(x\right)^{2} + 273800 \, x^{2} - 497280 \, x - 93056\right)} e^{\left(\frac{1}{2} \, x\right)} \sin\left(x\right) + \frac{2}{6331625} \, {\left(125 \, {\left(1369 \, x^{2} + 5180 \, x - 856\right)} \cos\left(x\right)^{3} + 24 \, {\left(34225 \, x^{2} + 74740 \, x - 135952\right)} \cos\left(x\right)\right)} e^{\left(\frac{1}{2} \, x\right)}"," ",0,"12/6331625*(125*(1369*x^2 - 296*x - 264)*cos(x)^2 + 273800*x^2 - 497280*x - 93056)*e^(1/2*x)*sin(x) + 2/6331625*(125*(1369*x^2 + 5180*x - 856)*cos(x)^3 + 24*(34225*x^2 + 74740*x - 135952)*cos(x))*e^(1/2*x)","A",0
568,1,41,0,1.267643," ","integrate(exp(2*x)*x^2*sin(4*x),x, algorithm=""fricas"")","-\frac{1}{250} \, {\left(50 \, x^{2} - 20 \, x - 1\right)} \cos\left(4 \, x\right) e^{\left(2 \, x\right)} + \frac{1}{500} \, {\left(50 \, x^{2} + 30 \, x - 11\right)} e^{\left(2 \, x\right)} \sin\left(4 \, x\right)"," ",0,"-1/250*(50*x^2 - 20*x - 1)*cos(4*x)*e^(2*x) + 1/500*(50*x^2 + 30*x - 11)*e^(2*x)*sin(4*x)","A",0
569,1,72,0,1.154812," ","integrate(exp(1/2*x)*x^2*cos(x)*sin(x)^2,x, algorithm=""fricas"")","-\frac{4}{6331625} \, {\left(375 \, {\left(1369 \, x^{2} - 296 \, x - 264\right)} \cos\left(x\right)^{2} - 444925 \, x^{2} + 534280 \, x + 126056\right)} e^{\left(\frac{1}{2} \, x\right)} \sin\left(x\right) - \frac{2}{6331625} \, {\left(125 \, {\left(1369 \, x^{2} + 5180 \, x - 856\right)} \cos\left(x\right)^{3} - {\left(444925 \, x^{2} + 1245420 \, x - 1194616\right)} \cos\left(x\right)\right)} e^{\left(\frac{1}{2} \, x\right)}"," ",0,"-4/6331625*(375*(1369*x^2 - 296*x - 264)*cos(x)^2 - 444925*x^2 + 534280*x + 126056)*e^(1/2*x)*sin(x) - 2/6331625*(125*(1369*x^2 + 5180*x - 856)*cos(x)^3 - (444925*x^2 + 1245420*x - 1194616)*cos(x))*e^(1/2*x)","A",0
570,1,2,0,1.195741," ","integrate(cosh(x),x, algorithm=""fricas"")","\sinh\left(x\right)"," ",0,"sinh(x)","A",0
571,1,2,0,1.166959," ","integrate(sinh(x),x, algorithm=""fricas"")","\cosh\left(x\right)"," ",0,"cosh(x)","A",0
572,1,18,0,1.093991," ","integrate(tanh(x),x, algorithm=""fricas"")","-x + \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"-x + log(2*cosh(x)/(cosh(x) - sinh(x)))","B",0
573,1,18,0,1.119364," ","integrate(coth(x),x, algorithm=""fricas"")","-x + \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"-x + log(2*sinh(x)/(cosh(x) - sinh(x)))","B",0
574,1,8,0,1.236836," ","integrate(sech(x),x, algorithm=""fricas"")","2 \, \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right)"," ",0,"2*arctan(cosh(x) + sinh(x))","B",0
575,1,17,0,1.342257," ","integrate(csch(x),x, algorithm=""fricas"")","-\log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)"," ",0,"-log(cosh(x) + sinh(x) + 1) + log(cosh(x) + sinh(x) - 1)","B",0
576,1,10,0,1.117676," ","integrate(cosh(x)^2,x, algorithm=""fricas"")","\frac{1}{2} \, \cosh\left(x\right) \sinh\left(x\right) + \frac{1}{2} \, x"," ",0,"1/2*cosh(x)*sinh(x) + 1/2*x","A",0
577,1,42,0,0.948412," ","integrate(sinh(x)^5,x, algorithm=""fricas"")","\frac{1}{80} \, \cosh\left(x\right)^{5} + \frac{1}{16} \, \cosh\left(x\right) \sinh\left(x\right)^{4} - \frac{5}{48} \, \cosh\left(x\right)^{3} + \frac{1}{16} \, {\left(2 \, \cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + \frac{5}{8} \, \cosh\left(x\right)"," ",0,"1/80*cosh(x)^5 + 1/16*cosh(x)*sinh(x)^4 - 5/48*cosh(x)^3 + 1/16*(2*cosh(x)^3 - 5*cosh(x))*sinh(x)^2 + 5/8*cosh(x)","B",0
578,1,68,0,1.283368," ","integrate(tanh(x)^4,x, algorithm=""fricas"")","\frac{{\left(3 \, x + 4\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, x + 4\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} - 12 \, \cosh\left(x\right)^{2} \sinh\left(x\right) - 4 \, \sinh\left(x\right)^{3} + 3 \, {\left(3 \, x + 4\right)} \cosh\left(x\right)}{3 \, {\left(\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + 3 \, \cosh\left(x\right)\right)}}"," ",0,"1/3*((3*x + 4)*cosh(x)^3 + 3*(3*x + 4)*cosh(x)*sinh(x)^2 - 12*cosh(x)^2*sinh(x) - 4*sinh(x)^3 + 3*(3*x + 4)*cosh(x))/(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + 3*cosh(x))","B",0
579,1,211,0,1.257595," ","integrate(csch(x)^3,x, algorithm=""fricas"")","-\frac{2 \, \cosh\left(x\right)^{3} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{3} - {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right) + 2 \, \cosh\left(x\right)}{2 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - 2 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"-1/2*(2*cosh(x)^3 + 6*cosh(x)*sinh(x)^2 + 2*sinh(x)^3 - (cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 - 1)*sinh(x)^2 - 2*cosh(x)^2 + 4*(cosh(x)^3 - cosh(x))*sinh(x) + 1)*log(cosh(x) + sinh(x) + 1) + (cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 - 1)*sinh(x)^2 - 2*cosh(x)^2 + 4*(cosh(x)^3 - cosh(x))*sinh(x) + 1)*log(cosh(x) + sinh(x) - 1) + 2*(3*cosh(x)^2 + 1)*sinh(x) + 2*cosh(x))/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 - 1)*sinh(x)^2 - 2*cosh(x)^2 + 4*(cosh(x)^3 - cosh(x))*sinh(x) + 1)","B",0
580,1,461,0,1.267111," ","integrate(1/cosh(x)^5,x, algorithm=""fricas"")","\frac{3 \, \cosh\left(x\right)^{7} + 21 \, \cosh\left(x\right) \sinh\left(x\right)^{6} + 3 \, \sinh\left(x\right)^{7} + {\left(63 \, \cosh\left(x\right)^{2} + 11\right)} \sinh\left(x\right)^{5} + 11 \, \cosh\left(x\right)^{5} + 5 \, {\left(21 \, \cosh\left(x\right)^{3} + 11 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + {\left(105 \, \cosh\left(x\right)^{4} + 110 \, \cosh\left(x\right)^{2} - 11\right)} \sinh\left(x\right)^{3} - 11 \, \cosh\left(x\right)^{3} + {\left(63 \, \cosh\left(x\right)^{5} + 110 \, \cosh\left(x\right)^{3} - 33 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 4 \, {\left(7 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{6} + 4 \, \cosh\left(x\right)^{6} + 8 \, {\left(7 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} + 30 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} + 10 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} + 15 \, \cosh\left(x\right)^{4} + 9 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} + 3 \, \cosh\left(x\right)^{5} + 3 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + {\left(21 \, \cosh\left(x\right)^{6} + 55 \, \cosh\left(x\right)^{4} - 33 \, \cosh\left(x\right)^{2} - 3\right)} \sinh\left(x\right) - 3 \, \cosh\left(x\right)}{4 \, {\left(\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 4 \, {\left(7 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{6} + 4 \, \cosh\left(x\right)^{6} + 8 \, {\left(7 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} + 30 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} + 10 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} + 15 \, \cosh\left(x\right)^{4} + 9 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} + 3 \, \cosh\left(x\right)^{5} + 3 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"1/4*(3*cosh(x)^7 + 21*cosh(x)*sinh(x)^6 + 3*sinh(x)^7 + (63*cosh(x)^2 + 11)*sinh(x)^5 + 11*cosh(x)^5 + 5*(21*cosh(x)^3 + 11*cosh(x))*sinh(x)^4 + (105*cosh(x)^4 + 110*cosh(x)^2 - 11)*sinh(x)^3 - 11*cosh(x)^3 + (63*cosh(x)^5 + 110*cosh(x)^3 - 33*cosh(x))*sinh(x)^2 + 3*(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 4*(7*cosh(x)^2 + 1)*sinh(x)^6 + 4*cosh(x)^6 + 8*(7*cosh(x)^3 + 3*cosh(x))*sinh(x)^5 + 2*(35*cosh(x)^4 + 30*cosh(x)^2 + 3)*sinh(x)^4 + 6*cosh(x)^4 + 8*(7*cosh(x)^5 + 10*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 + 15*cosh(x)^4 + 9*cosh(x)^2 + 1)*sinh(x)^2 + 4*cosh(x)^2 + 8*(cosh(x)^7 + 3*cosh(x)^5 + 3*cosh(x)^3 + cosh(x))*sinh(x) + 1)*arctan(cosh(x) + sinh(x)) + (21*cosh(x)^6 + 55*cosh(x)^4 - 33*cosh(x)^2 - 3)*sinh(x) - 3*cosh(x))/(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 4*(7*cosh(x)^2 + 1)*sinh(x)^6 + 4*cosh(x)^6 + 8*(7*cosh(x)^3 + 3*cosh(x))*sinh(x)^5 + 2*(35*cosh(x)^4 + 30*cosh(x)^2 + 3)*sinh(x)^4 + 6*cosh(x)^4 + 8*(7*cosh(x)^5 + 10*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 + 15*cosh(x)^4 + 9*cosh(x)^2 + 1)*sinh(x)^2 + 4*cosh(x)^2 + 8*(cosh(x)^7 + 3*cosh(x)^5 + 3*cosh(x)^3 + cosh(x))*sinh(x) + 1)","B",0
581,1,257,0,1.087953," ","integrate(tanh(x)^5/sech(x)^4,x, algorithm=""fricas"")","\frac{\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 4 \, {\left(7 \, \cosh\left(x\right)^{2} - 3\right)} \sinh\left(x\right)^{6} - 12 \, \cosh\left(x\right)^{6} + 8 \, {\left(7 \, \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 64 \, x \cosh\left(x\right)^{4} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} - 90 \, \cosh\left(x\right)^{2} - 32 \, x\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} - 30 \, \cosh\left(x\right)^{3} - 32 \, x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} - 45 \, \cosh\left(x\right)^{4} - 96 \, x \cosh\left(x\right)^{2} - 3\right)} \sinh\left(x\right)^{2} - 12 \, \cosh\left(x\right)^{2} + 64 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4}\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 8 \, {\left(\cosh\left(x\right)^{7} - 9 \, \cosh\left(x\right)^{5} - 32 \, x \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 1}{64 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4}\right)}}"," ",0,"1/64*(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 4*(7*cosh(x)^2 - 3)*sinh(x)^6 - 12*cosh(x)^6 + 8*(7*cosh(x)^3 - 9*cosh(x))*sinh(x)^5 - 64*x*cosh(x)^4 + 2*(35*cosh(x)^4 - 90*cosh(x)^2 - 32*x)*sinh(x)^4 + 8*(7*cosh(x)^5 - 30*cosh(x)^3 - 32*x*cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 - 45*cosh(x)^4 - 96*x*cosh(x)^2 - 3)*sinh(x)^2 - 12*cosh(x)^2 + 64*(cosh(x)^4 + 4*cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4)*log(2*cosh(x)/(cosh(x) - sinh(x))) + 8*(cosh(x)^7 - 9*cosh(x)^5 - 32*x*cosh(x)^3 - 3*cosh(x))*sinh(x) + 1)/(cosh(x)^4 + 4*cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4)","B",0
582,1,359,0,0.670570," ","integrate(sech(x)^(3/4)*tanh(x)^5,x, algorithm=""fricas"")","-\frac{4 \cdot 2^{\frac{3}{4}} {\left(209 \, \cosh\left(x\right)^{8} + 1672 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + 209 \, \sinh\left(x\right)^{8} + 76 \, {\left(77 \, \cosh\left(x\right)^{2} + 5\right)} \sinh\left(x\right)^{6} + 380 \, \cosh\left(x\right)^{6} + 152 \, {\left(77 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(1463 \, \cosh\left(x\right)^{4} + 570 \, \cosh\left(x\right)^{2} + 87\right)} \sinh\left(x\right)^{4} + 870 \, \cosh\left(x\right)^{4} + 8 \, {\left(1463 \, \cosh\left(x\right)^{5} + 950 \, \cosh\left(x\right)^{3} + 435 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(1463 \, \cosh\left(x\right)^{6} + 1425 \, \cosh\left(x\right)^{4} + 1305 \, \cosh\left(x\right)^{2} + 95\right)} \sinh\left(x\right)^{2} + 380 \, \cosh\left(x\right)^{2} + 8 \, {\left(209 \, \cosh\left(x\right)^{7} + 285 \, \cosh\left(x\right)^{5} + 435 \, \cosh\left(x\right)^{3} + 95 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 209\right)} \left(\frac{\cosh\left(x\right) + \sinh\left(x\right)}{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1}\right)^{\frac{3}{4}}}{627 \, {\left(\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 4 \, {\left(7 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{6} + 4 \, \cosh\left(x\right)^{6} + 8 \, {\left(7 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} + 30 \, \cosh\left(x\right)^{2} + 3\right)} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} + 10 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} + 15 \, \cosh\left(x\right)^{4} + 9 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} + 3 \, \cosh\left(x\right)^{5} + 3 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"-4/627*2^(3/4)*(209*cosh(x)^8 + 1672*cosh(x)*sinh(x)^7 + 209*sinh(x)^8 + 76*(77*cosh(x)^2 + 5)*sinh(x)^6 + 380*cosh(x)^6 + 152*(77*cosh(x)^3 + 15*cosh(x))*sinh(x)^5 + 10*(1463*cosh(x)^4 + 570*cosh(x)^2 + 87)*sinh(x)^4 + 870*cosh(x)^4 + 8*(1463*cosh(x)^5 + 950*cosh(x)^3 + 435*cosh(x))*sinh(x)^3 + 4*(1463*cosh(x)^6 + 1425*cosh(x)^4 + 1305*cosh(x)^2 + 95)*sinh(x)^2 + 380*cosh(x)^2 + 8*(209*cosh(x)^7 + 285*cosh(x)^5 + 435*cosh(x)^3 + 95*cosh(x))*sinh(x) + 209)*((cosh(x) + sinh(x))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1))^(3/4)/(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 4*(7*cosh(x)^2 + 1)*sinh(x)^6 + 4*cosh(x)^6 + 8*(7*cosh(x)^3 + 3*cosh(x))*sinh(x)^5 + 2*(35*cosh(x)^4 + 30*cosh(x)^2 + 3)*sinh(x)^4 + 6*cosh(x)^4 + 8*(7*cosh(x)^5 + 10*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 4*(7*cosh(x)^6 + 15*cosh(x)^4 + 9*cosh(x)^2 + 1)*sinh(x)^2 + 4*cosh(x)^2 + 8*(cosh(x)^7 + 3*cosh(x)^5 + 3*cosh(x)^3 + cosh(x))*sinh(x) + 1)","B",0
583,1,175,0,1.154484," ","integrate(1/(a+b*cosh(x)),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{b^{2} \cosh\left(x\right)^{2} + b^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + 2 \, a^{2} - b^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} - b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{b \cosh\left(x\right)^{2} + b \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) + 2 \, {\left(b \cosh\left(x\right) + a\right)} \sinh\left(x\right) + b}\right)}{\sqrt{a^{2} - b^{2}}}, -\frac{2 \, \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b \cosh\left(x\right) + b \sinh\left(x\right) + a\right)}}{a^{2} - b^{2}}\right)}{a^{2} - b^{2}}\right]"," ",0,"[log((b^2*cosh(x)^2 + b^2*sinh(x)^2 + 2*a*b*cosh(x) + 2*a^2 - b^2 + 2*(b^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 - b^2)*(b*cosh(x) + b*sinh(x) + a))/(b*cosh(x)^2 + b*sinh(x)^2 + 2*a*cosh(x) + 2*(b*cosh(x) + a)*sinh(x) + b))/sqrt(a^2 - b^2), -2*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*cosh(x) + b*sinh(x) + a)/(a^2 - b^2))/(a^2 - b^2)]","A",0
584,1,58,0,1.132268," ","integrate(1/(1+cosh(x))^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, \cosh\left(x\right) + 3 \, \sinh\left(x\right) + 1\right)}}{3 \, {\left(\cosh\left(x\right)^{3} + 3 \, {\left(\cosh\left(x\right) + 1\right)} \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + 3 \, \cosh\left(x\right)^{2} + 3 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) + 1\right)} \sinh\left(x\right) + 3 \, \cosh\left(x\right) + 1\right)}}"," ",0,"-2/3*(3*cosh(x) + 3*sinh(x) + 1)/(cosh(x)^3 + 3*(cosh(x) + 1)*sinh(x)^2 + sinh(x)^3 + 3*cosh(x)^2 + 3*(cosh(x)^2 + 2*cosh(x) + 1)*sinh(x) + 3*cosh(x) + 1)","B",0
585,1,42,0,1.334886," ","integrate(1/(a+b*tanh(x)),x, algorithm=""fricas"")","\frac{{\left(a + b\right)} x - b \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} - b^{2}}"," ",0,"((a + b)*x - b*log(2*(a*cosh(x) + b*sinh(x))/(cosh(x) - sinh(x))))/(a^2 - b^2)","A",0
586,1,288,0,1.400286," ","integrate(1/(a^2+b^2*cosh(x)^2),x, algorithm=""fricas"")","\frac{\sqrt{a^{2} + b^{2}} \log\left(\frac{b^{4} \cosh\left(x\right)^{4} + 4 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{4} \sinh\left(x\right)^{4} + 8 \, a^{4} + 8 \, a^{2} b^{2} + b^{4} + 2 \, {\left(2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{4} \cosh\left(x\right)^{2} + 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b^{4} \cosh\left(x\right)^{3} + {\left(2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) - 4 \, {\left(a b^{2} \cosh\left(x\right)^{2} + 2 \, a b^{2} \cosh\left(x\right) \sinh\left(x\right) + a b^{2} \sinh\left(x\right)^{2} + 2 \, a^{3} + a b^{2}\right)} \sqrt{a^{2} + b^{2}}}{b^{2} \cosh\left(x\right)^{4} + 4 \, b^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{2} \sinh\left(x\right)^{4} + 2 \, {\left(2 \, a^{2} + b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(x\right)^{2} + 2 \, a^{2} + b^{2}\right)} \sinh\left(x\right)^{2} + b^{2} + 4 \, {\left(b^{2} \cosh\left(x\right)^{3} + {\left(2 \, a^{2} + b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right)}{2 \, {\left(a^{3} + a b^{2}\right)}}"," ",0,"1/2*sqrt(a^2 + b^2)*log((b^4*cosh(x)^4 + 4*b^4*cosh(x)*sinh(x)^3 + b^4*sinh(x)^4 + 8*a^4 + 8*a^2*b^2 + b^4 + 2*(2*a^2*b^2 + b^4)*cosh(x)^2 + 2*(3*b^4*cosh(x)^2 + 2*a^2*b^2 + b^4)*sinh(x)^2 + 4*(b^4*cosh(x)^3 + (2*a^2*b^2 + b^4)*cosh(x))*sinh(x) - 4*(a*b^2*cosh(x)^2 + 2*a*b^2*cosh(x)*sinh(x) + a*b^2*sinh(x)^2 + 2*a^3 + a*b^2)*sqrt(a^2 + b^2))/(b^2*cosh(x)^4 + 4*b^2*cosh(x)*sinh(x)^3 + b^2*sinh(x)^4 + 2*(2*a^2 + b^2)*cosh(x)^2 + 2*(3*b^2*cosh(x)^2 + 2*a^2 + b^2)*sinh(x)^2 + b^2 + 4*(b^2*cosh(x)^3 + (2*a^2 + b^2)*cosh(x))*sinh(x)))/(a^3 + a*b^2)","B",0
587,1,388,0,1.371633," ","integrate(1/(a^2-b^2*cosh(x)^2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a^{2} - b^{2}} \log\left(\frac{b^{4} \cosh\left(x\right)^{4} + 4 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{4} \sinh\left(x\right)^{4} + 8 \, a^{4} - 8 \, a^{2} b^{2} + b^{4} - 2 \, {\left(2 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{4} \cosh\left(x\right)^{2} - 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b^{4} \cosh\left(x\right)^{3} - {\left(2 \, a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right) + 4 \, {\left(a b^{2} \cosh\left(x\right)^{2} + 2 \, a b^{2} \cosh\left(x\right) \sinh\left(x\right) + a b^{2} \sinh\left(x\right)^{2} - 2 \, a^{3} + a b^{2}\right)} \sqrt{a^{2} - b^{2}}}{b^{2} \cosh\left(x\right)^{4} + 4 \, b^{2} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{2} \sinh\left(x\right)^{4} - 2 \, {\left(2 \, a^{2} - b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, b^{2} \cosh\left(x\right)^{2} - 2 \, a^{2} + b^{2}\right)} \sinh\left(x\right)^{2} + b^{2} + 4 \, {\left(b^{2} \cosh\left(x\right)^{3} - {\left(2 \, a^{2} - b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}\right)}{2 \, {\left(a^{3} - a b^{2}\right)}}, \frac{\sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{{\left(b^{2} \cosh\left(x\right)^{2} + 2 \, b^{2} \cosh\left(x\right) \sinh\left(x\right) + b^{2} \sinh\left(x\right)^{2} - 2 \, a^{2} + b^{2}\right)} \sqrt{-a^{2} + b^{2}}}{2 \, {\left(a^{3} - a b^{2}\right)}}\right)}{a^{3} - a b^{2}}\right]"," ",0,"[1/2*sqrt(a^2 - b^2)*log((b^4*cosh(x)^4 + 4*b^4*cosh(x)*sinh(x)^3 + b^4*sinh(x)^4 + 8*a^4 - 8*a^2*b^2 + b^4 - 2*(2*a^2*b^2 - b^4)*cosh(x)^2 + 2*(3*b^4*cosh(x)^2 - 2*a^2*b^2 + b^4)*sinh(x)^2 + 4*(b^4*cosh(x)^3 - (2*a^2*b^2 - b^4)*cosh(x))*sinh(x) + 4*(a*b^2*cosh(x)^2 + 2*a*b^2*cosh(x)*sinh(x) + a*b^2*sinh(x)^2 - 2*a^3 + a*b^2)*sqrt(a^2 - b^2))/(b^2*cosh(x)^4 + 4*b^2*cosh(x)*sinh(x)^3 + b^2*sinh(x)^4 - 2*(2*a^2 - b^2)*cosh(x)^2 + 2*(3*b^2*cosh(x)^2 - 2*a^2 + b^2)*sinh(x)^2 + b^2 + 4*(b^2*cosh(x)^3 - (2*a^2 - b^2)*cosh(x))*sinh(x)))/(a^3 - a*b^2), sqrt(-a^2 + b^2)*arctan(-1/2*(b^2*cosh(x)^2 + 2*b^2*cosh(x)*sinh(x) + b^2*sinh(x)^2 - 2*a^2 + b^2)*sqrt(-a^2 + b^2)/(a^3 - a*b^2))/(a^3 - a*b^2)]","B",0
588,1,113,0,1.321595," ","integrate(1/(1-sinh(x)^4),x, algorithm=""fricas"")","\frac{{\left(\sqrt{2} \cosh\left(x\right)^{2} + 2 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right) + \sqrt{2} \sinh\left(x\right)^{2} + \sqrt{2}\right)} \log\left(-\frac{3 \, {\left(2 \, \sqrt{2} - 3\right)} \cosh\left(x\right)^{2} - 4 \, {\left(3 \, \sqrt{2} - 4\right)} \cosh\left(x\right) \sinh\left(x\right) + 3 \, {\left(2 \, \sqrt{2} - 3\right)} \sinh\left(x\right)^{2} - 2 \, \sqrt{2} + 3}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} - 3}\right) - 8}{8 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)}}"," ",0,"1/8*((sqrt(2)*cosh(x)^2 + 2*sqrt(2)*cosh(x)*sinh(x) + sqrt(2)*sinh(x)^2 + sqrt(2))*log(-(3*(2*sqrt(2) - 3)*cosh(x)^2 - 4*(3*sqrt(2) - 4)*cosh(x)*sinh(x) + 3*(2*sqrt(2) - 3)*sinh(x)^2 - 2*sqrt(2) + 3)/(cosh(x)^2 + sinh(x)^2 - 3)) - 8)/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)","B",0
589,1,74,0,1.295733," ","integrate((cosh(x)^3-sinh(x)^3)/(cosh(x)^3+sinh(x)^3),x, algorithm=""fricas"")","-\frac{8 \, {\left(\sqrt{3} \cosh\left(x\right)^{2} + 2 \, \sqrt{3} \cosh\left(x\right) \sinh\left(x\right) + \sqrt{3} \sinh\left(x\right)^{2}\right)} \arctan\left(-\frac{\sqrt{3} \cosh\left(x\right) + \sqrt{3} \sinh\left(x\right)}{3 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}\right) + 3}{18 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)}}"," ",0,"-1/18*(8*(sqrt(3)*cosh(x)^2 + 2*sqrt(3)*cosh(x)*sinh(x) + sqrt(3)*sinh(x)^2)*arctan(-1/3*(sqrt(3)*cosh(x) + sqrt(3)*sinh(x))/(cosh(x) - sinh(x))) + 3)/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)","B",0
590,1,44,0,1.011453," ","integrate(cosh(x)*cosh(2*x)*cosh(3*x),x, algorithm=""fricas"")","\frac{1}{4} \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \frac{1}{12} \, {\left(10 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + \frac{1}{4} \, {\left(\cosh\left(x\right)^{5} + \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + \frac{1}{4} \, x"," ",0,"1/4*cosh(x)*sinh(x)^5 + 1/12*(10*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 1/4*(cosh(x)^5 + cosh(x)^3 + cosh(x))*sinh(x) + 1/4*x","A",0
591,1,111,0,1.225696," ","integrate(cosh(3/2*x)*sinh(x)*sinh(5/2*x),x, algorithm=""fricas"")","6 \, \cosh\left(\frac{1}{2} \, x\right)^{3} \sinh\left(\frac{1}{2} \, x\right)^{7} + \frac{1}{2} \, \cosh\left(\frac{1}{2} \, x\right) \sinh\left(\frac{1}{2} \, x\right)^{9} + \frac{1}{10} \, {\left(126 \, \cosh\left(\frac{1}{2} \, x\right)^{5} - 5 \, \cosh\left(\frac{1}{2} \, x\right)\right)} \sinh\left(\frac{1}{2} \, x\right)^{5} + \frac{1}{6} \, {\left(36 \, \cosh\left(\frac{1}{2} \, x\right)^{7} - 10 \, \cosh\left(\frac{1}{2} \, x\right)^{3} + 3 \, \cosh\left(\frac{1}{2} \, x\right)\right)} \sinh\left(\frac{1}{2} \, x\right)^{3} + \frac{1}{2} \, {\left(\cosh\left(\frac{1}{2} \, x\right)^{9} - \cosh\left(\frac{1}{2} \, x\right)^{5} + \cosh\left(\frac{1}{2} \, x\right)^{3}\right)} \sinh\left(\frac{1}{2} \, x\right) - \frac{1}{4} \, x"," ",0,"6*cosh(1/2*x)^3*sinh(1/2*x)^7 + 1/2*cosh(1/2*x)*sinh(1/2*x)^9 + 1/10*(126*cosh(1/2*x)^5 - 5*cosh(1/2*x))*sinh(1/2*x)^5 + 1/6*(36*cosh(1/2*x)^7 - 10*cosh(1/2*x)^3 + 3*cosh(1/2*x))*sinh(1/2*x)^3 + 1/2*(cosh(1/2*x)^9 - cosh(1/2*x)^5 + cosh(1/2*x)^3)*sinh(1/2*x) - 1/4*x","B",0
592,1,376,0,1.145421," ","integrate(cosh(x)*(-cosh(2*x)+tanh(x))/(sinh(x)^2+sinh(2*x))/sinh(2*x)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1\right)} \arctan\left(\frac{{\left(\sqrt{2} \cosh\left(x\right)^{2} + 2 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right) + \sqrt{2} \sinh\left(x\right)^{2} + 3 \, \sqrt{2}\right)} \sqrt{\frac{\cosh\left(x\right) \sinh\left(x\right)}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}}}{2 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} - 1\right)}}\right) + 6 \, {\left(\sqrt{2} \cosh\left(x\right)^{2} + 2 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right) + \sqrt{2} \sinh\left(x\right)^{2} - \sqrt{2}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{\cosh\left(x\right) \sinh\left(x\right)}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}}}{\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} - 1}\right) - {\left(\sqrt{2} \cosh\left(x\right)^{2} + 2 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right) + \sqrt{2} \sinh\left(x\right)^{2} - \sqrt{2}\right)} \log\left(2 \, \cosh\left(x\right)^{4} + 8 \, \cosh\left(x\right)^{3} \sinh\left(x\right) + 12 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + 2 \, \sinh\left(x\right)^{4} - 4 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}\right)} \sqrt{\frac{\cosh\left(x\right) \sinh\left(x\right)}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}} - 1\right) - 12 \, \sqrt{2} \sqrt{\frac{\cosh\left(x\right) \sinh\left(x\right)}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}}}{12 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1\right)}}"," ",0,"-1/12*((cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)*arctan(1/2*(sqrt(2)*cosh(x)^2 + 2*sqrt(2)*cosh(x)*sinh(x) + sqrt(2)*sinh(x)^2 + 3*sqrt(2))*sqrt(cosh(x)*sinh(x)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2))/(cosh(x)^4 + 4*cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 - 1)) + 6*(sqrt(2)*cosh(x)^2 + 2*sqrt(2)*cosh(x)*sinh(x) + sqrt(2)*sinh(x)^2 - sqrt(2))*arctan(2*sqrt(cosh(x)*sinh(x)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2))/(cosh(x)^4 + 4*cosh(x)^3*sinh(x) + 6*cosh(x)^2*sinh(x)^2 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 - 1)) - (sqrt(2)*cosh(x)^2 + 2*sqrt(2)*cosh(x)*sinh(x) + sqrt(2)*sinh(x)^2 - sqrt(2))*log(2*cosh(x)^4 + 8*cosh(x)^3*sinh(x) + 12*cosh(x)^2*sinh(x)^2 + 8*cosh(x)*sinh(x)^3 + 2*sinh(x)^4 - 4*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2)*sqrt(cosh(x)*sinh(x)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)) - 1) - 12*sqrt(2)*sqrt(cosh(x)*sinh(x)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)","B",0
593,1,474,0,0.944326," ","integrate(sinh(x)/(-9+4*cosh(x)^2)^(5/2),x, algorithm=""fricas"")","\frac{2 \, \cosh\left(x\right)^{8} + 16 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + 2 \, \sinh\left(x\right)^{8} + 28 \, {\left(2 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{6} - 28 \, \cosh\left(x\right)^{6} + 56 \, {\left(2 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(70 \, \cosh\left(x\right)^{4} - 210 \, \cosh\left(x\right)^{2} + 51\right)} \sinh\left(x\right)^{4} + 102 \, \cosh\left(x\right)^{4} + 8 \, {\left(14 \, \cosh\left(x\right)^{5} - 70 \, \cosh\left(x\right)^{3} + 51 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(14 \, \cosh\left(x\right)^{6} - 105 \, \cosh\left(x\right)^{4} + 153 \, \cosh\left(x\right)^{2} - 7\right)} \sinh\left(x\right)^{2} - 28 \, \cosh\left(x\right)^{2} + 8 \, {\left(2 \, \cosh\left(x\right)^{7} - 21 \, \cosh\left(x\right)^{5} + 51 \, \cosh\left(x\right)^{3} - 7 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + {\left(2 \, \cosh\left(x\right)^{6} + 12 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + 2 \, \sinh\left(x\right)^{6} + 3 \, {\left(10 \, \cosh\left(x\right)^{2} - 7\right)} \sinh\left(x\right)^{4} - 21 \, \cosh\left(x\right)^{4} + 4 \, {\left(10 \, \cosh\left(x\right)^{3} - 21 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(10 \, \cosh\left(x\right)^{4} - 42 \, \cosh\left(x\right)^{2} - 7\right)} \sinh\left(x\right)^{2} - 21 \, \cosh\left(x\right)^{2} + 6 \, {\left(2 \, \cosh\left(x\right)^{5} - 14 \, \cosh\left(x\right)^{3} - 7 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 2\right)} \sqrt{\frac{2 \, \cosh\left(x\right)^{2} + 2 \, \sinh\left(x\right)^{2} - 7}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}} + 2}{486 \, {\left(\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + 14 \, {\left(2 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{6} - 14 \, \cosh\left(x\right)^{6} + 28 \, {\left(2 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + {\left(70 \, \cosh\left(x\right)^{4} - 210 \, \cosh\left(x\right)^{2} + 51\right)} \sinh\left(x\right)^{4} + 51 \, \cosh\left(x\right)^{4} + 4 \, {\left(14 \, \cosh\left(x\right)^{5} - 70 \, \cosh\left(x\right)^{3} + 51 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(14 \, \cosh\left(x\right)^{6} - 105 \, \cosh\left(x\right)^{4} + 153 \, \cosh\left(x\right)^{2} - 7\right)} \sinh\left(x\right)^{2} - 14 \, \cosh\left(x\right)^{2} + 4 \, {\left(2 \, \cosh\left(x\right)^{7} - 21 \, \cosh\left(x\right)^{5} + 51 \, \cosh\left(x\right)^{3} - 7 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"1/486*(2*cosh(x)^8 + 16*cosh(x)*sinh(x)^7 + 2*sinh(x)^8 + 28*(2*cosh(x)^2 - 1)*sinh(x)^6 - 28*cosh(x)^6 + 56*(2*cosh(x)^3 - 3*cosh(x))*sinh(x)^5 + 2*(70*cosh(x)^4 - 210*cosh(x)^2 + 51)*sinh(x)^4 + 102*cosh(x)^4 + 8*(14*cosh(x)^5 - 70*cosh(x)^3 + 51*cosh(x))*sinh(x)^3 + 4*(14*cosh(x)^6 - 105*cosh(x)^4 + 153*cosh(x)^2 - 7)*sinh(x)^2 - 28*cosh(x)^2 + 8*(2*cosh(x)^7 - 21*cosh(x)^5 + 51*cosh(x)^3 - 7*cosh(x))*sinh(x) + (2*cosh(x)^6 + 12*cosh(x)*sinh(x)^5 + 2*sinh(x)^6 + 3*(10*cosh(x)^2 - 7)*sinh(x)^4 - 21*cosh(x)^4 + 4*(10*cosh(x)^3 - 21*cosh(x))*sinh(x)^3 + 3*(10*cosh(x)^4 - 42*cosh(x)^2 - 7)*sinh(x)^2 - 21*cosh(x)^2 + 6*(2*cosh(x)^5 - 14*cosh(x)^3 - 7*cosh(x))*sinh(x) + 2)*sqrt((2*cosh(x)^2 + 2*sinh(x)^2 - 7)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)) + 2)/(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + 14*(2*cosh(x)^2 - 1)*sinh(x)^6 - 14*cosh(x)^6 + 28*(2*cosh(x)^3 - 3*cosh(x))*sinh(x)^5 + (70*cosh(x)^4 - 210*cosh(x)^2 + 51)*sinh(x)^4 + 51*cosh(x)^4 + 4*(14*cosh(x)^5 - 70*cosh(x)^3 + 51*cosh(x))*sinh(x)^3 + 2*(14*cosh(x)^6 - 105*cosh(x)^4 + 153*cosh(x)^2 - 7)*sinh(x)^2 - 14*cosh(x)^2 + 4*(2*cosh(x)^7 - 21*cosh(x)^5 + 51*cosh(x)^3 - 7*cosh(x))*sinh(x) + 1)","B",0
594,1,161,0,1.341043," ","integrate(sinh(x)^2*sinh(2*x)/(1-sinh(x)^2)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} - 5\right)} \sinh\left(x\right)^{2} - 10 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{-\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} - 3}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}}}{\cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right) \sinh\left(x\right)^{4} + \sinh\left(x\right)^{5} + 2 \, {\left(5 \, \cosh\left(x\right)^{2} - 3\right)} \sinh\left(x\right)^{3} - 6 \, \cosh\left(x\right)^{3} + 2 \, {\left(5 \, \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(5 \, \cosh\left(x\right)^{4} - 18 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right) + \cosh\left(x\right)}"," ",0,"sqrt(2)*(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 - 5)*sinh(x)^2 - 10*cosh(x)^2 + 4*(cosh(x)^3 - 5*cosh(x))*sinh(x) + 1)*sqrt(-(cosh(x)^2 + sinh(x)^2 - 3)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2))/(cosh(x)^5 + 5*cosh(x)*sinh(x)^4 + sinh(x)^5 + 2*(5*cosh(x)^2 - 3)*sinh(x)^3 - 6*cosh(x)^3 + 2*(5*cosh(x)^3 - 9*cosh(x))*sinh(x)^2 + (5*cosh(x)^4 - 18*cosh(x)^2 + 1)*sinh(x) + cosh(x))","B",0
595,1,482,0,0.970443," ","integrate(cosh(x)/cosh(2*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, \sqrt{2} \log\left(-\frac{\cosh\left(x\right)^{8} + 8 \, \cosh\left(x\right) \sinh\left(x\right)^{7} + \sinh\left(x\right)^{8} + {\left(28 \, \cosh\left(x\right)^{2} - 3\right)} \sinh\left(x\right)^{6} - 3 \, \cosh\left(x\right)^{6} + 2 \, {\left(28 \, \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 5 \, {\left(14 \, \cosh\left(x\right)^{4} - 9 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 5 \, \cosh\left(x\right)^{4} + 4 \, {\left(14 \, \cosh\left(x\right)^{5} - 15 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(28 \, \cosh\left(x\right)^{6} - 45 \, \cosh\left(x\right)^{4} + 30 \, \cosh\left(x\right)^{2} - 4\right)} \sinh\left(x\right)^{2} + \sqrt{2} {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + 3 \, {\left(5 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{4} - 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + {\left(15 \, \cosh\left(x\right)^{4} - 18 \, \cosh\left(x\right)^{2} + 4\right)} \sinh\left(x\right)^{2} + 4 \, \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{5} - 6 \, \cosh\left(x\right)^{3} + 4 \, \cosh\left(x\right)\right)} \sinh\left(x\right) - 4\right)} \sqrt{\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2}}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}} - 4 \, \cosh\left(x\right)^{2} + 2 \, {\left(4 \, \cosh\left(x\right)^{7} - 9 \, \cosh\left(x\right)^{5} + 10 \, \cosh\left(x\right)^{3} - 4 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 4}{\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{5} \sinh\left(x\right) + 15 \, \cosh\left(x\right)^{4} \sinh\left(x\right)^{2} + 20 \, \cosh\left(x\right)^{3} \sinh\left(x\right)^{3} + 15 \, \cosh\left(x\right)^{2} \sinh\left(x\right)^{4} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6}}\right) + \frac{1}{8} \, \sqrt{2} \log\left(\frac{\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + {\left(6 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + \sqrt{2} {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \sqrt{\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2}}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}} + \cosh\left(x\right)^{2} + 2 \, {\left(2 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1}{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}\right)"," ",0,"1/8*sqrt(2)*log(-(cosh(x)^8 + 8*cosh(x)*sinh(x)^7 + sinh(x)^8 + (28*cosh(x)^2 - 3)*sinh(x)^6 - 3*cosh(x)^6 + 2*(28*cosh(x)^3 - 9*cosh(x))*sinh(x)^5 + 5*(14*cosh(x)^4 - 9*cosh(x)^2 + 1)*sinh(x)^4 + 5*cosh(x)^4 + 4*(14*cosh(x)^5 - 15*cosh(x)^3 + 5*cosh(x))*sinh(x)^3 + (28*cosh(x)^6 - 45*cosh(x)^4 + 30*cosh(x)^2 - 4)*sinh(x)^2 + sqrt(2)*(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + 3*(5*cosh(x)^2 - 1)*sinh(x)^4 - 3*cosh(x)^4 + 4*(5*cosh(x)^3 - 3*cosh(x))*sinh(x)^3 + (15*cosh(x)^4 - 18*cosh(x)^2 + 4)*sinh(x)^2 + 4*cosh(x)^2 + 2*(3*cosh(x)^5 - 6*cosh(x)^3 + 4*cosh(x))*sinh(x) - 4)*sqrt((cosh(x)^2 + sinh(x)^2)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)) - 4*cosh(x)^2 + 2*(4*cosh(x)^7 - 9*cosh(x)^5 + 10*cosh(x)^3 - 4*cosh(x))*sinh(x) + 4)/(cosh(x)^6 + 6*cosh(x)^5*sinh(x) + 15*cosh(x)^4*sinh(x)^2 + 20*cosh(x)^3*sinh(x)^3 + 15*cosh(x)^2*sinh(x)^4 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6)) + 1/8*sqrt(2)*log((cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + (6*cosh(x)^2 + 1)*sinh(x)^2 + sqrt(2)*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*sqrt((cosh(x)^2 + sinh(x)^2)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)) + cosh(x)^2 + 2*(2*cosh(x)^3 + cosh(x))*sinh(x) + 1)/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2))","B",0
596,1,93,0,1.291044," ","integrate(x*tanh(x)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} - 4 \, x\right)} \cosh\left(x\right)^{2} + 2 \, {\left(x^{2} - 4 \, x\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(x^{2} - 4 \, x\right)} \sinh\left(x\right)^{2} + x^{2} + 2 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{2 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)}}"," ",0,"1/2*((x^2 - 4*x)*cosh(x)^2 + 2*(x^2 - 4*x)*cosh(x)*sinh(x) + (x^2 - 4*x)*sinh(x)^2 + x^2 + 2*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*log(2*cosh(x)/(cosh(x) - sinh(x))))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)","B",0
597,1,95,0,1.315301," ","integrate(x*coth(x)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} - 4 \, x\right)} \cosh\left(x\right)^{2} + 2 \, {\left(x^{2} - 4 \, x\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(x^{2} - 4 \, x\right)} \sinh\left(x\right)^{2} - x^{2} + 2 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1\right)} \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{2 \, {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1\right)}}"," ",0,"1/2*((x^2 - 4*x)*cosh(x)^2 + 2*(x^2 - 4*x)*cosh(x)*sinh(x) + (x^2 - 4*x)*sinh(x)^2 - x^2 + 2*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)*log(2*sinh(x)/(cosh(x) - sinh(x))))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)","B",0
598,1,20,0,1.359082," ","integrate((x+cosh(x)+sinh(x))/(cosh(x)-sinh(x)),x, algorithm=""fricas"")","\frac{2 \, x + \cosh\left(x\right) + \sinh\left(x\right) - 2}{2 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"1/2*(2*x + cosh(x) + sinh(x) - 2)/(cosh(x) - sinh(x))","A",0
599,1,20,0,1.398140," ","integrate((x+cosh(x)+sinh(x))/(1+cosh(x)),x, algorithm=""fricas"")","\frac{2 \, {\left(x \cosh\left(x\right) + x \sinh\left(x\right) + 1\right)}}{\cosh\left(x\right) + \sinh\left(x\right) + 1}"," ",0,"2*(x*cosh(x) + x*sinh(x) + 1)/(cosh(x) + sinh(x) + 1)","A",0
600,1,75,0,1.305535," ","integrate(exp(2*x)/sinh(x)^4,x, algorithm=""fricas"")","-\frac{8 \, {\left(4 \, \cosh\left(x\right)^{2} + 4 \, \cosh\left(x\right) \sinh\left(x\right) + 4 \, \sinh\left(x\right)^{2} - 3\right)}}{3 \, {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} - 2\right)} \sinh\left(x\right)^{2} - 4 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right) + 3\right)}}"," ",0,"-8/3*(4*cosh(x)^2 + 4*cosh(x)*sinh(x) + 4*sinh(x)^2 - 3)/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 - 2)*sinh(x)^2 - 4*cosh(x)^2 + 4*(cosh(x)^3 - cosh(x))*sinh(x) + 3)","B",0
601,1,102,0,0.773953," ","integrate(1/exp(2*x)/cosh(x)^4,x, algorithm=""fricas"")","-\frac{8}{3 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + 3 \, {\left(5 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, \cosh\left(x\right)^{4} + 6 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 3 \, \cosh\left(x\right)^{2} + 6 \, {\left(\cosh\left(x\right)^{5} + 2 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"-8/3/(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + 3*(5*cosh(x)^2 + 1)*sinh(x)^4 + 3*cosh(x)^4 + 4*(5*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 3*(5*cosh(x)^4 + 6*cosh(x)^2 + 1)*sinh(x)^2 + 3*cosh(x)^2 + 6*(cosh(x)^5 + 2*cosh(x)^3 + cosh(x))*sinh(x) + 1)","B",0
602,1,16,0,0.926535," ","integrate(exp(x)/(cosh(x)-sinh(x)),x, algorithm=""fricas"")","\frac{\cosh\left(x\right) + \sinh\left(x\right)}{2 \, {\left(\cosh\left(x\right) - \sinh\left(x\right)\right)}}"," ",0,"1/2*(cosh(x) + sinh(x))/(cosh(x) - sinh(x))","B",0
603,1,25,0,0.974892," ","integrate(exp(m*x)/(cosh(x)+sinh(x)),x, algorithm=""fricas"")","\frac{\cosh\left(m x\right) + \sinh\left(m x\right)}{{\left(m - 1\right)} \cosh\left(x\right) + {\left(m - 1\right)} \sinh\left(x\right)}"," ",0,"(cosh(m*x) + sinh(m*x))/((m - 1)*cosh(x) + (m - 1)*sinh(x))","B",0
604,1,1,0,0.784581," ","integrate(exp(x)/(cosh(x)+sinh(x)),x, algorithm=""fricas"")","x"," ",0,"x","A",0
605,1,26,0,0.959024," ","integrate(exp(x)/(1-cosh(x)),x, algorithm=""fricas"")","-\frac{2 \, {\left({\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) - 1\right)}}{\cosh\left(x\right) + \sinh\left(x\right) - 1}"," ",0,"-2*((cosh(x) + sinh(x) - 1)*log(cosh(x) + sinh(x) - 1) - 1)/(cosh(x) + sinh(x) - 1)","A",0
606,1,21,0,0.689230," ","integrate(exp(x)*(1+sinh(x))/(1+cosh(x)),x, algorithm=""fricas"")","\frac{3 \, \cosh\left(x\right) - \sinh\left(x\right) + 1}{\cosh\left(x\right) - \sinh\left(x\right) + 1}"," ",0,"(3*cosh(x) - sinh(x) + 1)/(cosh(x) - sinh(x) + 1)","A",0
607,1,22,0,1.708169," ","integrate(exp(x)*(1-sinh(x))/(1-cosh(x)),x, algorithm=""fricas"")","-\frac{3 \, \cosh\left(x\right) - \sinh\left(x\right) - 1}{\cosh\left(x\right) - \sinh\left(x\right) - 1}"," ",0,"-(3*cosh(x) - sinh(x) - 1)/(cosh(x) - sinh(x) - 1)","A",0
608,1,25,0,1.147706," ","integrate(x^m*log(x),x, algorithm=""fricas"")","\frac{{\left({\left(m + 1\right)} x \log\left(x\right) - x\right)} x^{m}}{m^{2} + 2 \, m + 1}"," ",0,"((m + 1)*x*log(x) - x)*x^m/(m^2 + 2*m + 1)","A",0
609,1,45,0,0.918275," ","integrate(x^m*log(x)^2,x, algorithm=""fricas"")","\frac{{\left({\left(m^{2} + 2 \, m + 1\right)} x \log\left(x\right)^{2} - 2 \, {\left(m + 1\right)} x \log\left(x\right) + 2 \, x\right)} x^{m}}{m^{3} + 3 \, m^{2} + 3 \, m + 1}"," ",0,"((m^2 + 2*m + 1)*x*log(x)^2 - 2*(m + 1)*x*log(x) + 2*x)*x^m/(m^3 + 3*m^2 + 3*m + 1)","A",0
610,1,17,0,1.155494," ","integrate(log(x)^2/x^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(9 \, \log\left(x\right)^{2} + 12 \, \log\left(x\right) + 8\right)}}{27 \, x^{\frac{3}{2}}}"," ",0,"-2/27*(9*log(x)^2 + 12*log(x) + 8)/x^(3/2)","A",0
611,1,25,0,1.045501," ","integrate((b*x+a)*log(x),x, algorithm=""fricas"")","-\frac{1}{4} \, b x^{2} - a x + \frac{1}{2} \, {\left(b x^{2} + 2 \, a x\right)} \log\left(x\right)"," ",0,"-1/4*b*x^2 - a*x + 1/2*(b*x^2 + 2*a*x)*log(x)","A",0
612,1,69,0,0.685186," ","integrate((b*x+a)^3*log(x),x, algorithm=""fricas"")","-\frac{1}{16} \, b^{3} x^{4} - \frac{1}{3} \, a b^{2} x^{3} - \frac{3}{4} \, a^{2} b x^{2} - a^{3} x + \frac{1}{4} \, {\left(b^{3} x^{4} + 4 \, a b^{2} x^{3} + 6 \, a^{2} b x^{2} + 4 \, a^{3} x\right)} \log\left(x\right)"," ",0,"-1/16*b^3*x^4 - 1/3*a*b^2*x^3 - 3/4*a^2*b*x^2 - a^3*x + 1/4*(b^3*x^4 + 4*a*b^2*x^3 + 6*a^2*b*x^2 + 4*a^3*x)*log(x)","A",0
613,1,23,0,0.800774," ","integrate(-1-8*log(x)^2+3*log(x)^3,x, algorithm=""fricas"")","3 \, x \log\left(x\right)^{3} - 17 \, x \log\left(x\right)^{2} + 34 \, x \log\left(x\right) - 35 \, x"," ",0,"3*x*log(x)^3 - 17*x*log(x)^2 + 34*x*log(x) - 35*x","A",0
614,1,48,0,1.008906," ","integrate((x^4+1)*(1-2*log(x)+log(x)^3),x, algorithm=""fricas"")","\frac{169}{625} \, x^{5} + \frac{1}{5} \, {\left(x^{5} + 5 \, x\right)} \log\left(x\right)^{3} - \frac{3}{25} \, {\left(x^{5} + 25 \, x\right)} \log\left(x\right)^{2} - \frac{4}{125} \, {\left(11 \, x^{5} - 125 \, x\right)} \log\left(x\right) - 3 \, x"," ",0,"169/625*x^5 + 1/5*(x^5 + 5*x)*log(x)^3 - 3/25*(x^5 + 25*x)*log(x)^2 - 4/125*(11*x^5 - 125*x)*log(x) - 3*x","A",0
615,1,34,0,0.955572," ","integrate(1/x^3/log(x)^4,x, algorithm=""fricas"")","-\frac{4 \, x^{2} \log\left(x\right)^{3} \operatorname{log\_integral}\left(\frac{1}{x^{2}}\right) + 2 \, \log\left(x\right)^{2} - \log\left(x\right) + 1}{3 \, x^{2} \log\left(x\right)^{3}}"," ",0,"-1/3*(4*x^2*log(x)^3*log_integral(x^(-2)) + 2*log(x)^2 - log(x) + 1)/(x^2*log(x)^3)","A",0
616,0,0,0,0.994737," ","integrate(log(x)/(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(x\right)}{b x + a}, x\right)"," ",0,"integral(log(x)/(b*x + a), x)","F",0
617,1,34,0,0.867619," ","integrate(log(x)/(b*x+a)^2,x, algorithm=""fricas"")","\frac{b x \log\left(x\right) - {\left(b x + a\right)} \log\left(b x + a\right)}{a b^{2} x + a^{2} b}"," ",0,"(b*x*log(x) - (b*x + a)*log(b*x + a))/(a*b^2*x + a^2*b)","A",0
618,1,12,0,1.049943," ","integrate(log(x)^n/x,x, algorithm=""fricas"")","\frac{\log\left(x\right)^{n} \log\left(x\right)}{n + 1}"," ",0,"log(x)^n*log(x)/(n + 1)","A",0
619,1,22,0,0.955810," ","integrate((a+b*log(x))^n/x,x, algorithm=""fricas"")","\frac{{\left(b \log\left(x\right) + a\right)} {\left(b \log\left(x\right) + a\right)}^{n}}{b n + b}"," ",0,"(b*log(x) + a)*(b*log(x) + a)^n/(b*n + b)","A",0
620,1,11,0,0.954989," ","integrate(1/x/(a+b*log(x)),x, algorithm=""fricas"")","\frac{\log\left(b \log\left(x\right) + a\right)}{b}"," ",0,"log(b*log(x) + a)/b","A",0
621,1,27,0,0.687623," ","integrate(1/x/((a+b*log(x))^n),x, algorithm=""fricas"")","-\frac{b \log\left(x\right) + a}{{\left(b n - b\right)} {\left(b \log\left(x\right) + a\right)}^{n}}"," ",0,"-(b*log(x) + a)/((b*n - b)*(b*log(x) + a)^n)","A",0
622,1,18,0,0.802771," ","integrate(1/x/(a^2+log(x)^2)^(1/2),x, algorithm=""fricas"")","-\log\left(\sqrt{a^{2} + \log\left(x\right)^{2}} - \log\left(x\right)\right)"," ",0,"-log(sqrt(a^2 + log(x)^2) - log(x))","A",0
623,1,20,0,0.996141," ","integrate(1/x/(-a^2+log(x)^2)^(1/2),x, algorithm=""fricas"")","-\log\left(\sqrt{-a^{2} + \log\left(x\right)^{2}} - \log\left(x\right)\right)"," ",0,"-log(sqrt(-a^2 + log(x)^2) - log(x))","A",0
624,1,25,0,0.905541," ","integrate(1/x/(a^2-log(x)^2)^(1/2),x, algorithm=""fricas"")","-2 \, \arctan\left(-\frac{a - \sqrt{a^{2} - \log\left(x\right)^{2}}}{\log\left(x\right)}\right)"," ",0,"-2*arctan(-(a - sqrt(a^2 - log(x)^2))/log(x))","A",0
625,1,44,0,0.902699," ","integrate(1/x/log(x)/(a^2+log(x)^2)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(a + \sqrt{a^{2} + \log\left(x\right)^{2}} - \log\left(x\right)\right) - \log\left(-a + \sqrt{a^{2} + \log\left(x\right)^{2}} - \log\left(x\right)\right)}{a}"," ",0,"-(log(a + sqrt(a^2 + log(x)^2) - log(x)) - log(-a + sqrt(a^2 + log(x)^2) - log(x)))/a","B",0
626,1,27,0,0.774525," ","integrate(1/x/log(x)/(a^2-log(x)^2)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(-\frac{a - \sqrt{a^{2} - \log\left(x\right)^{2}}}{\log\left(x\right)}\right)}{a}"," ",0,"log(-(a - sqrt(a^2 - log(x)^2))/log(x))/a","A",0
627,1,27,0,0.869034," ","integrate(1/x/log(x)/(-a^2+log(x)^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \arctan\left(\frac{\sqrt{-a^{2} + \log\left(x\right)^{2}} - \log\left(x\right)}{a}\right)}{a}"," ",0,"2*arctan((sqrt(-a^2 + log(x)^2) - log(x))/a)/a","A",0
628,1,11,0,1.035074," ","integrate(log(log(x))/x,x, algorithm=""fricas"")","\log\left(x\right) \log\left(\log\left(x\right)\right) - \log\left(x\right)"," ",0,"log(x)*log(log(x)) - log(x)","A",0
629,1,20,0,0.652651," ","integrate(log(log(x))^2/x,x, algorithm=""fricas"")","\log\left(x\right) \log\left(\log\left(x\right)\right)^{2} - 2 \, \log\left(x\right) \log\left(\log\left(x\right)\right) + 2 \, \log\left(x\right)"," ",0,"log(x)*log(log(x))^2 - 2*log(x)*log(log(x)) + 2*log(x)","A",0
630,1,29,0,1.031956," ","integrate(log(log(x))^3/x,x, algorithm=""fricas"")","\log\left(x\right) \log\left(\log\left(x\right)\right)^{3} - 3 \, \log\left(x\right) \log\left(\log\left(x\right)\right)^{2} + 6 \, \log\left(x\right) \log\left(\log\left(x\right)\right) - 6 \, \log\left(x\right)"," ",0,"log(x)*log(log(x))^3 - 3*log(x)*log(log(x))^2 + 6*log(x)*log(log(x)) - 6*log(x)","A",0
631,1,38,0,0.933180," ","integrate(log(log(x))^4/x,x, algorithm=""fricas"")","\log\left(x\right) \log\left(\log\left(x\right)\right)^{4} - 4 \, \log\left(x\right) \log\left(\log\left(x\right)\right)^{3} + 12 \, \log\left(x\right) \log\left(\log\left(x\right)\right)^{2} - 24 \, \log\left(x\right) \log\left(\log\left(x\right)\right) + 24 \, \log\left(x\right)"," ",0,"log(x)*log(log(x))^4 - 4*log(x)*log(log(x))^3 + 12*log(x)*log(log(x))^2 - 24*log(x)*log(log(x)) + 24*log(x)","A",0
632,1,14,0,1.048419," ","integrate(log(log(x))^n/x,x, algorithm=""fricas"")","\cos\left(\pi n\right) \Gamma\left(n + 1, -\log\left(\log\left(x\right)\right)\right)"," ",0,"cos(pi*n)*gamma(n + 1, -log(log(x)))","A",0
633,1,4,0,1.188605," ","integrate(cot(x)/log(sin(x)),x, algorithm=""fricas"")","\log\left(\log\left(\sin\left(x\right)\right)\right)"," ",0,"log(log(sin(x)))","A",0
634,1,12,0,1.030759," ","integrate((1/cos(x)+cos(x))*tan(x),x, algorithm=""fricas"")","-\frac{\cos\left(x\right)^{2} - 1}{\cos\left(x\right)}"," ",0,"-(cos(x)^2 - 1)/cos(x)","A",0
635,1,46,0,1.115016," ","integrate(log(cosh(x))*sinh(x),x, algorithm=""fricas"")","-\frac{\cosh\left(x\right)^{2} - {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \log\left(\cosh\left(x\right)\right) + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1}{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"-1/2*(cosh(x)^2 - (cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*log(cosh(x)) + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)/(cosh(x) + sinh(x))","B",0
636,1,7,0,0.777194," ","integrate(log(cosh(x))*tanh(x),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(\cosh\left(x\right)\right)^{2}"," ",0,"1/2*log(cosh(x))^2","A",0
637,1,22,0,1.059164," ","integrate(log(x-(x^2+1)^(1/2)),x, algorithm=""fricas"")","x \log\left(x - \sqrt{x^{2} + 1}\right) + \sqrt{x^{2} + 1}"," ",0,"x*log(x - sqrt(x^2 + 1)) + sqrt(x^2 + 1)","A",0
638,1,26,0,0.782626," ","integrate(log(-1+x)/x^3,x, algorithm=""fricas"")","-\frac{x^{2} \log\left(x\right) - {\left(x^{2} - 1\right)} \log\left(x - 1\right) - x}{2 \, x^{2}}"," ",0,"-1/2*(x^2*log(x) - (x^2 - 1)*log(x - 1) - x)/x^2","A",0
639,1,26,0,1.213666," ","integrate((-1/exp(x)+exp(x))*log(1+exp(2*x)),x, algorithm=""fricas"")","{\left({\left(e^{\left(2 \, x\right)} + 1\right)} \log\left(e^{\left(2 \, x\right)} + 1\right) - 2 \, e^{\left(2 \, x\right)}\right)} e^{\left(-x\right)}"," ",0,"((e^(2*x) + 1)*log(e^(2*x) + 1) - 2*e^(2*x))*e^(-x)","A",0
640,1,42,0,0.882980," ","integrate(exp(3/2*x)*log(-1+exp(x)),x, algorithm=""fricas"")","\frac{2}{3} \, e^{\left(\frac{3}{2} \, x\right)} \log\left(e^{x} - 1\right) - \frac{4}{9} \, e^{\left(\frac{3}{2} \, x\right)} - \frac{4}{3} \, e^{\left(\frac{1}{2} \, x\right)} + \frac{2}{3} \, \log\left(e^{\left(\frac{1}{2} \, x\right)} + 1\right) - \frac{2}{3} \, \log\left(e^{\left(\frac{1}{2} \, x\right)} - 1\right)"," ",0,"2/3*e^(3/2*x)*log(e^x - 1) - 4/9*e^(3/2*x) - 4/3*e^(1/2*x) + 2/3*log(e^(1/2*x) + 1) - 2/3*log(e^(1/2*x) - 1)","A",0
641,1,24,0,0.931053," ","integrate(cos(x)^3*log(sin(x)),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(\cos\left(x\right)^{2} + 2\right)} \log\left(\sin\left(x\right)\right) \sin\left(x\right) - \frac{1}{9} \, {\left(\cos\left(x\right)^{2} + 8\right)} \sin\left(x\right)"," ",0,"1/3*(cos(x)^2 + 2)*log(sin(x))*sin(x) - 1/9*(cos(x)^2 + 8)*sin(x)","A",0
642,1,39,0,1.275422," ","integrate(log(tan(x))/cos(x)^4,x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, \cos\left(x\right)^{2} + 1\right)} \log\left(\frac{\sin\left(x\right)}{\cos\left(x\right)}\right) \sin\left(x\right) - {\left(8 \, \cos\left(x\right)^{2} + 1\right)} \sin\left(x\right)}{9 \, \cos\left(x\right)^{3}}"," ",0,"1/9*(3*(2*cos(x)^2 + 1)*log(sin(x)/cos(x))*sin(x) - (8*cos(x)^2 + 1)*sin(x))/cos(x)^3","A",0
643,1,32,0,0.904178," ","integrate(log(cos(1/2*x))/(1+cos(x)),x, algorithm=""fricas"")","-\frac{x \cos\left(\frac{1}{2} \, x\right) - 2 \, \log\left(\cos\left(\frac{1}{2} \, x\right)\right) \sin\left(\frac{1}{2} \, x\right) - 2 \, \sin\left(\frac{1}{2} \, x\right)}{2 \, \cos\left(\frac{1}{2} \, x\right)}"," ",0,"-1/2*(x*cos(1/2*x) - 2*log(cos(1/2*x))*sin(1/2*x) - 2*sin(1/2*x))/cos(1/2*x)","A",0
644,1,53,0,0.859890," ","integrate(cos(x)*log(sin(x))/(1+cos(x))^2,x, algorithm=""fricas"")","-\frac{6 \, x \cos\left(x\right)^{2} - 3 \, {\left(2 \, \cos\left(x\right) + 1\right)} \log\left(\sin\left(x\right)\right) \sin\left(x\right) + 12 \, x \cos\left(x\right) - {\left(8 \, \cos\left(x\right) + 7\right)} \sin\left(x\right) + 6 \, x}{9 \, {\left(\cos\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1\right)}}"," ",0,"-1/9*(6*x*cos(x)^2 - 3*(2*cos(x) + 1)*log(sin(x))*sin(x) + 12*x*cos(x) - (8*cos(x) + 7)*sin(x) + 6*x)/(cos(x)^2 + 2*cos(x) + 1)","A",0
645,1,44,0,1.069573," ","integrate(arccos(x)^2/x^5,x, algorithm=""fricas"")","\frac{4 \, x^{4} \log\left(x\right) + 2 \, {\left(2 \, x^{3} + x\right)} \sqrt{-x^{2} + 1} \arccos\left(x\right) - x^{2} - 3 \, \arccos\left(x\right)^{2}}{12 \, x^{4}}"," ",0,"1/12*(4*x^4*log(x) + 2*(2*x^3 + x)*sqrt(-x^2 + 1)*arccos(x) - x^2 - 3*arccos(x)^2)/x^4","A",0
646,1,36,0,1.054394," ","integrate(x^2*arcsin(x)^2,x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} \arcsin\left(x\right)^{2} - \frac{2}{27} \, x^{3} + \frac{2}{9} \, {\left(x^{2} + 2\right)} \sqrt{-x^{2} + 1} \arcsin\left(x\right) - \frac{4}{9} \, x"," ",0,"1/3*x^3*arcsin(x)^2 - 2/27*x^3 + 2/9*(x^2 + 2)*sqrt(-x^2 + 1)*arcsin(x) - 4/9*x","A",0
647,1,36,0,1.005492," ","integrate(x^3*arctan(x)^2,x, algorithm=""fricas"")","\frac{1}{4} \, {\left(x^{4} - 1\right)} \arctan\left(x\right)^{2} + \frac{1}{12} \, x^{2} - \frac{1}{6} \, {\left(x^{3} - 3 \, x\right)} \arctan\left(x\right) - \frac{1}{3} \, \log\left(x^{2} + 1\right)"," ",0,"1/4*(x^4 - 1)*arctan(x)^2 + 1/12*x^2 - 1/6*(x^3 - 3*x)*arctan(x) - 1/3*log(x^2 + 1)","A",0
648,1,53,0,1.135458," ","integrate(arctan(x)^2/x^5,x, algorithm=""fricas"")","\frac{4 \, x^{4} \log\left(x^{2} + 1\right) - 8 \, x^{4} \log\left(x\right) + 3 \, {\left(x^{4} - 1\right)} \arctan\left(x\right)^{2} - x^{2} + 2 \, {\left(3 \, x^{3} - x\right)} \arctan\left(x\right)}{12 \, x^{4}}"," ",0,"1/12*(4*x^4*log(x^2 + 1) - 8*x^4*log(x) + 3*(x^4 - 1)*arctan(x)^2 - x^2 + 2*(3*x^3 - x)*arctan(x))/x^4","A",0
649,1,35,0,0.846251," ","integrate(x^3*arccsc(x)^2,x, algorithm=""fricas"")","\frac{1}{4} \, x^{4} \operatorname{arccsc}\left(x\right)^{2} + \frac{1}{6} \, {\left(x^{2} + 2\right)} \sqrt{x^{2} - 1} \operatorname{arccsc}\left(x\right) + \frac{1}{12} \, x^{2} + \frac{1}{3} \, \log\left(x\right)"," ",0,"1/4*x^4*arccsc(x)^2 + 1/6*(x^2 + 2)*sqrt(x^2 - 1)*arccsc(x) + 1/12*x^2 + 1/3*log(x)","A",0
650,1,77,0,1.174520," ","integrate(arcsec(x)^4/x^5,x, algorithm=""fricas"")","\frac{4 \, {\left(3 \, x^{4} - 8\right)} \operatorname{arcsec}\left(x\right)^{4} - 3 \, {\left(15 \, x^{4} - 24 \, x^{2} - 8\right)} \operatorname{arcsec}\left(x\right)^{2} - 45 \, x^{2} + 2 \, {\left(8 \, {\left(3 \, x^{2} + 2\right)} \operatorname{arcsec}\left(x\right)^{3} - 3 \, {\left(15 \, x^{2} + 2\right)} \operatorname{arcsec}\left(x\right)\right)} \sqrt{x^{2} - 1} - 3}{128 \, x^{4}}"," ",0,"1/128*(4*(3*x^4 - 8)*arcsec(x)^4 - 3*(15*x^4 - 24*x^2 - 8)*arcsec(x)^2 - 45*x^2 + 2*(8*(3*x^2 + 2)*arcsec(x)^3 - 3*(15*x^2 + 2)*arcsec(x))*sqrt(x^2 - 1) - 3)/x^4","A",0
651,1,26,0,1.330257," ","integrate(arcsin(x)*(-x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-x^{2} + 1} x \arcsin\left(x\right) - \frac{1}{4} \, x^{2} + \frac{1}{4} \, \arcsin\left(x\right)^{2}"," ",0,"1/2*sqrt(-x^2 + 1)*x*arcsin(x) - 1/4*x^2 + 1/4*arcsin(x)^2","A",0
652,1,26,0,1.027572," ","integrate(arccos(x)*(-x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-x^{2} + 1} x \arccos\left(x\right) + \frac{1}{4} \, x^{2} - \frac{1}{4} \, \arccos\left(x\right)^{2}"," ",0,"1/2*sqrt(-x^2 + 1)*x*arccos(x) + 1/4*x^2 - 1/4*arccos(x)^2","A",0
653,1,27,0,1.115320," ","integrate(x*arccos(x)*(-x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{9} \, x^{3} + \frac{1}{3} \, {\left(x^{2} - 1\right)} \sqrt{-x^{2} + 1} \arccos\left(x\right) - \frac{1}{3} \, x"," ",0,"1/9*x^3 + 1/3*(x^2 - 1)*sqrt(-x^2 + 1)*arccos(x) - 1/3*x","A",0
654,1,39,0,1.213678," ","integrate((-x^2+1)^(3/2)*arcsin(x),x, algorithm=""fricas"")","\frac{1}{16} \, x^{4} - \frac{1}{8} \, {\left(2 \, x^{3} - 5 \, x\right)} \sqrt{-x^{2} + 1} \arcsin\left(x\right) - \frac{5}{16} \, x^{2} + \frac{3}{16} \, \arcsin\left(x\right)^{2}"," ",0,"1/16*x^4 - 1/8*(2*x^3 - 5*x)*sqrt(-x^2 + 1)*arcsin(x) - 5/16*x^2 + 3/16*arcsin(x)^2","A",0
655,1,37,0,0.733870," ","integrate(x*(-x^2+1)^(3/2)*arcsin(x),x, algorithm=""fricas"")","\frac{1}{25} \, x^{5} - \frac{2}{15} \, x^{3} - \frac{1}{5} \, {\left(x^{4} - 2 \, x^{2} + 1\right)} \sqrt{-x^{2} + 1} \arcsin\left(x\right) + \frac{1}{5} \, x"," ",0,"1/25*x^5 - 2/15*x^3 - 1/5*(x^4 - 2*x^2 + 1)*sqrt(-x^2 + 1)*arcsin(x) + 1/5*x","A",0
656,1,47,0,0.970076," ","integrate(x^3*(-x^2+1)^(3/2)*arccos(x),x, algorithm=""fricas"")","-\frac{1}{49} \, x^{7} + \frac{8}{175} \, x^{5} - \frac{1}{105} \, x^{3} - \frac{1}{35} \, {\left(5 \, x^{6} - 8 \, x^{4} + x^{2} + 2\right)} \sqrt{-x^{2} + 1} \arccos\left(x\right) - \frac{2}{35} \, x"," ",0,"-1/49*x^7 + 8/175*x^5 - 1/105*x^3 - 1/35*(5*x^6 - 8*x^4 + x^2 + 2)*sqrt(-x^2 + 1)*arccos(x) - 2/35*x","A",0
657,0,0,0,1.072535," ","integrate((-x^2+1)^(3/2)*arccos(x)/x,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(x^{2} - 1\right)} \sqrt{-x^{2} + 1} \arccos\left(x\right)}{x}, x\right)"," ",0,"integral(-(x^2 - 1)*sqrt(-x^2 + 1)*arccos(x)/x, x)","F",0
658,1,44,0,1.091779," ","integrate((-x^2+1)^(3/2)*arcsin(x)/x^6,x, algorithm=""fricas"")","\frac{4 \, x^{5} \log\left(x\right) + 4 \, x^{3} - 4 \, {\left(x^{4} - 2 \, x^{2} + 1\right)} \sqrt{-x^{2} + 1} \arcsin\left(x\right) - x}{20 \, x^{5}}"," ",0,"1/20*(4*x^5*log(x) + 4*x^3 - 4*(x^4 - 2*x^2 + 1)*sqrt(-x^2 + 1)*arcsin(x) - x)/x^5","A",0
659,1,26,0,0.645045," ","integrate(x^2*arcsin(x)/(-x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{-x^{2} + 1} x \arcsin\left(x\right) + \frac{1}{4} \, x^{2} + \frac{1}{4} \, \arcsin\left(x\right)^{2}"," ",0,"-1/2*sqrt(-x^2 + 1)*x*arcsin(x) + 1/4*x^2 + 1/4*arcsin(x)^2","A",0
660,1,39,0,1.040995," ","integrate(x^4*arcsin(x)/(-x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{16} \, x^{4} - \frac{1}{8} \, {\left(2 \, x^{3} + 3 \, x\right)} \sqrt{-x^{2} + 1} \arcsin\left(x\right) + \frac{3}{16} \, x^{2} + \frac{3}{16} \, \arcsin\left(x\right)^{2}"," ",0,"1/16*x^4 - 1/8*(2*x^3 + 3*x)*sqrt(-x^2 + 1)*arcsin(x) + 3/16*x^2 + 3/16*arcsin(x)^2","A",0
661,1,44,0,1.137716," ","integrate(x*arcsin(x)/(-x^2+1)^(3/2),x, algorithm=""fricas"")","-\frac{{\left(x^{2} - 1\right)} \log\left(x + 1\right) - {\left(x^{2} - 1\right)} \log\left(x - 1\right) + 2 \, \sqrt{-x^{2} + 1} \arcsin\left(x\right)}{2 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/2*((x^2 - 1)*log(x + 1) - (x^2 - 1)*log(x - 1) + 2*sqrt(-x^2 + 1)*arcsin(x))/(x^2 - 1)","B",0
662,1,44,0,1.187208," ","integrate(x*arccos(x)/(-x^2+1)^(3/2),x, algorithm=""fricas"")","\frac{{\left(x^{2} - 1\right)} \log\left(x + 1\right) - {\left(x^{2} - 1\right)} \log\left(x - 1\right) - 2 \, \sqrt{-x^{2} + 1} \arccos\left(x\right)}{2 \, {\left(x^{2} - 1\right)}}"," ",0,"1/2*((x^2 - 1)*log(x + 1) - (x^2 - 1)*log(x - 1) - 2*sqrt(-x^2 + 1)*arccos(x))/(x^2 - 1)","B",0
663,1,61,0,1.162395," ","integrate(arcsin(x)/(-x^2+1)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, x^{3} - 3 \, x\right)} \sqrt{-x^{2} + 1} \arcsin\left(x\right) - x^{2} - 2 \, {\left(x^{4} - 2 \, x^{2} + 1\right)} \log\left(x^{2} - 1\right) + 1}{6 \, {\left(x^{4} - 2 \, x^{2} + 1\right)}}"," ",0,"-1/6*(2*(2*x^3 - 3*x)*sqrt(-x^2 + 1)*arcsin(x) - x^2 - 2*(x^4 - 2*x^2 + 1)*log(x^2 - 1) + 1)/(x^4 - 2*x^2 + 1)","A",0
664,1,57,0,1.102210," ","integrate(x^3*arcsin(x)/(-x^2+1)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, x^{3} - 2 \, {\left(x^{2} - 2\right)} \sqrt{-x^{2} + 1} \arcsin\left(x\right) + {\left(x^{2} - 1\right)} \log\left(x + 1\right) - {\left(x^{2} - 1\right)} \log\left(x - 1\right) - 2 \, x}{2 \, {\left(x^{2} - 1\right)}}"," ",0,"-1/2*(2*x^3 - 2*(x^2 - 2)*sqrt(-x^2 + 1)*arcsin(x) + (x^2 - 1)*log(x + 1) - (x^2 - 1)*log(x - 1) - 2*x)/(x^2 - 1)","A",0
665,0,0,0,0.964886," ","integrate(arcsin(x)/x/(-x^2+1)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-x^{2} + 1} \arcsin\left(x\right)}{x^{5} - 2 \, x^{3} + x}, x\right)"," ",0,"integral(sqrt(-x^2 + 1)*arcsin(x)/(x^5 - 2*x^3 + x), x)","F",0
666,1,36,0,1.083880," ","integrate(arccos(x)/x^4/(-x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{4 \, x^{3} \log\left(x\right) + 2 \, {\left(2 \, x^{2} + 1\right)} \sqrt{-x^{2} + 1} \arccos\left(x\right) - x}{6 \, x^{3}}"," ",0,"-1/6*(4*x^3*log(x) + 2*(2*x^2 + 1)*sqrt(-x^2 + 1)*arccos(x) - x)/x^3","A",0
667,1,41,0,1.154228," ","integrate(x*arccos(x)^2*(-x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{2}{9} \, {\left(x^{3} - 3 \, x\right)} \arccos\left(x\right) + \frac{1}{27} \, {\left(9 \, {\left(x^{2} - 1\right)} \arccos\left(x\right)^{2} - 2 \, x^{2} + 14\right)} \sqrt{-x^{2} + 1}"," ",0,"2/9*(x^3 - 3*x)*arccos(x) + 1/27*(9*(x^2 - 1)*arccos(x)^2 - 2*x^2 + 14)*sqrt(-x^2 + 1)","A",0
668,1,49,0,0.953445," ","integrate(x^2*arcsin(x)^3/(-x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{8} \, \arcsin\left(x\right)^{4} + \frac{3}{8} \, {\left(2 \, x^{2} - 1\right)} \arcsin\left(x\right)^{2} - \frac{3}{8} \, x^{2} - \frac{1}{4} \, {\left(2 \, x \arcsin\left(x\right)^{3} - 3 \, x \arcsin\left(x\right)\right)} \sqrt{-x^{2} + 1}"," ",0,"1/8*arcsin(x)^4 + 3/8*(2*x^2 - 1)*arcsin(x)^2 - 3/8*x^2 - 1/4*(2*x*arcsin(x)^3 - 3*x*arcsin(x))*sqrt(-x^2 + 1)","A",0
669,1,19,0,1.097301," ","integrate(x*arctan(x)/(x^2+1)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} - 1\right)} \arctan\left(x\right) + x}{4 \, {\left(x^{2} + 1\right)}}"," ",0,"1/4*((x^2 - 1)*arctan(x) + x)/(x^2 + 1)","A",0
670,1,38,0,1.094636," ","integrate(x*arctan(x)/(x^2+1)^3,x, algorithm=""fricas"")","\frac{3 \, x^{3} + {\left(3 \, x^{4} + 6 \, x^{2} - 5\right)} \arctan\left(x\right) + 5 \, x}{32 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"1/32*(3*x^3 + (3*x^4 + 6*x^2 - 5)*arctan(x) + 5*x)/(x^4 + 2*x^2 + 1)","A",0
671,1,19,0,1.215411," ","integrate(x^2*arctan(x)/(x^2+1),x, algorithm=""fricas"")","x \arctan\left(x\right) - \frac{1}{2} \, \arctan\left(x\right)^{2} - \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"x*arctan(x) - 1/2*arctan(x)^2 - 1/2*log(x^2 + 1)","A",0
672,0,0,0,1.017259," ","integrate(x^3*arctan(x)/(x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{3} \arctan\left(x\right)}{x^{2} + 1}, x\right)"," ",0,"integral(x^3*arctan(x)/(x^2 + 1), x)","F",0
673,1,26,0,0.734596," ","integrate(x^2*arctan(x)/(x^2+1)^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} + 1\right)} \arctan\left(x\right)^{2} - 2 \, x \arctan\left(x\right) - 1}{4 \, {\left(x^{2} + 1\right)}}"," ",0,"1/4*((x^2 + 1)*arctan(x)^2 - 2*x*arctan(x) - 1)/(x^2 + 1)","A",0
674,0,0,0,0.835794," ","integrate(x^3*arctan(x)/(x^2+1)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{3} \arctan\left(x\right)}{x^{4} + 2 \, x^{2} + 1}, x\right)"," ",0,"integral(x^3*arctan(x)/(x^4 + 2*x^2 + 1), x)","F",0
675,0,0,0,1.008030," ","integrate(x^5*arctan(x)/(x^2+1)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{5} \arctan\left(x\right)}{x^{4} + 2 \, x^{2} + 1}, x\right)"," ",0,"integral(x^5*arctan(x)/(x^4 + 2*x^2 + 1), x)","F",0
676,1,26,0,1.188672," ","integrate((x^2+1)*arctan(x)/x^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} - 1\right)} \arctan\left(x\right) - x \log\left(x^{2} + 1\right) + x \log\left(x\right)}{x}"," ",0,"((x^2 - 1)*arctan(x) - x*log(x^2 + 1) + x*log(x))/x","A",0
677,1,26,0,1.019282," ","integrate((x^2+1)*arctan(x)/x^5,x, algorithm=""fricas"")","-\frac{3 \, x^{3} + 3 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(x\right) + x}{12 \, x^{4}}"," ",0,"-1/12*(3*x^3 + 3*(x^4 + 2*x^2 + 1)*arctan(x) + x)/x^4","A",0
678,0,0,0,0.947877," ","integrate((x^2+1)^2*arctan(x)/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(x\right)}{x^{5}}, x\right)"," ",0,"integral((x^4 + 2*x^2 + 1)*arctan(x)/x^5, x)","F",0
679,1,29,0,0.927910," ","integrate(arctan(x)/x^2/(x^2+1),x, algorithm=""fricas"")","-\frac{x \arctan\left(x\right)^{2} + x \log\left(x^{2} + 1\right) - 2 \, x \log\left(x\right) + 2 \, \arctan\left(x\right)}{2 \, x}"," ",0,"-1/2*(x*arctan(x)^2 + x*log(x^2 + 1) - 2*x*log(x) + 2*arctan(x))/x","A",0
680,1,38,0,1.041419," ","integrate(arctan(x)^2/x^3,x, algorithm=""fricas"")","-\frac{{\left(x^{2} + 1\right)} \arctan\left(x\right)^{2} + x^{2} \log\left(x^{2} + 1\right) - 2 \, x^{2} \log\left(x\right) + 2 \, x \arctan\left(x\right)}{2 \, x^{2}}"," ",0,"-1/2*((x^2 + 1)*arctan(x)^2 + x^2*log(x^2 + 1) - 2*x^2*log(x) + 2*x*arctan(x))/x^2","A",0
681,1,54,0,0.997143," ","integrate((x^2+1)*arctan(x)^2/x^5,x, algorithm=""fricas"")","-\frac{2 \, x^{4} \log\left(x^{2} + 1\right) - 4 \, x^{4} \log\left(x\right) + 3 \, {\left(x^{4} + 2 \, x^{2} + 1\right)} \arctan\left(x\right)^{2} + x^{2} + 2 \, {\left(3 \, x^{3} + x\right)} \arctan\left(x\right)}{12 \, x^{4}}"," ",0,"-1/12*(2*x^4*log(x^2 + 1) - 4*x^4*log(x) + 3*(x^4 + 2*x^2 + 1)*arctan(x)^2 + x^2 + 2*(3*x^3 + x)*arctan(x))/x^4","A",0
682,1,51,0,0.937776," ","integrate(x^3*arctan(x)^2/(x^2+1)^3,x, algorithm=""fricas"")","\frac{{\left(5 \, x^{4} - 6 \, x^{2} - 3\right)} \arctan\left(x\right)^{2} + 5 \, x^{2} + 2 \, {\left(5 \, x^{3} + 3 \, x\right)} \arctan\left(x\right) + 4}{32 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}}"," ",0,"1/32*((5*x^4 - 6*x^2 - 3)*arctan(x)^2 + 5*x^2 + 2*(5*x^3 + 3*x)*arctan(x) + 4)/(x^4 + 2*x^2 + 1)","A",0
683,0,0,0,0.846307," ","integrate(arcsec(x)*(x^2-1)^(1/2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{x^{2} - 1} \operatorname{arcsec}\left(x\right)}{x^{2}}, x\right)"," ",0,"integral(sqrt(x^2 - 1)*arcsec(x)/x^2, x)","F",0
684,1,51,0,0.957385," ","integrate((x^2-1)^(5/2)*arccsc(x)/x^3,x, algorithm=""fricas"")","\frac{2 \, x^{4} - 15 \, x^{2} \operatorname{arccsc}\left(x\right)^{2} - 28 \, x^{2} \log\left(x\right) + 2 \, {\left(2 \, x^{4} - 14 \, x^{2} - 3\right)} \sqrt{x^{2} - 1} \operatorname{arccsc}\left(x\right) + 3}{12 \, x^{2}}"," ",0,"1/12*(2*x^4 - 15*x^2*arccsc(x)^2 - 28*x^2*log(x) + 2*(2*x^4 - 14*x^2 - 3)*sqrt(x^2 - 1)*arccsc(x) + 3)/x^2","A",0
685,1,23,0,1.141198," ","integrate(arcsec(x)*(x^2-1)^(1/2)/x^4,x, algorithm=""fricas"")","\frac{3 \, {\left(x^{2} - 1\right)}^{\frac{3}{2}} \operatorname{arcsec}\left(x\right) + 3 \, x^{2} - 1}{9 \, x^{3}}"," ",0,"1/9*(3*(x^2 - 1)^(3/2)*arcsec(x) + 3*x^2 - 1)/x^3","A",0
686,1,75,0,0.932070," ","integrate(arcsec(x)/(x^2-1)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, x^{3} - 4 \, {\left(2 \, x^{3} - 3 \, x\right)} \sqrt{x^{2} - 1} \operatorname{arcsec}\left(x\right) - 5 \, {\left(x^{4} - 2 \, x^{2} + 1\right)} \log\left(x + 1\right) + 5 \, {\left(x^{4} - 2 \, x^{2} + 1\right)} \log\left(x - 1\right) - 2 \, x}{12 \, {\left(x^{4} - 2 \, x^{2} + 1\right)}}"," ",0,"-1/12*(2*x^3 - 4*(2*x^3 - 3*x)*sqrt(x^2 - 1)*arcsec(x) - 5*(x^4 - 2*x^2 + 1)*log(x + 1) + 5*(x^4 - 2*x^2 + 1)*log(x - 1) - 2*x)/(x^4 - 2*x^2 + 1)","A",0
687,1,68,0,1.192084," ","integrate(x^2*arcsec(x)/(x^2-1)^(5/2),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{x^{2} - 1} x^{3} \operatorname{arcsec}\left(x\right) + 2 \, x^{3} + {\left(x^{4} - 2 \, x^{2} + 1\right)} \log\left(x + 1\right) - {\left(x^{4} - 2 \, x^{2} + 1\right)} \log\left(x - 1\right) - 2 \, x}{12 \, {\left(x^{4} - 2 \, x^{2} + 1\right)}}"," ",0,"-1/12*(4*sqrt(x^2 - 1)*x^3*arcsec(x) + 2*x^3 + (x^4 - 2*x^2 + 1)*log(x + 1) - (x^4 - 2*x^2 + 1)*log(x - 1) - 2*x)/(x^4 - 2*x^2 + 1)","A",0
688,1,69,0,1.180103," ","integrate(x^3*arcsec(x)/(x^2-1)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, x^{2} - 2\right)} \sqrt{x^{2} - 1} \operatorname{arcsec}\left(x\right) + x^{2} - 2 \, {\left(x^{4} - 2 \, x^{2} + 1\right)} \log\left(x^{2} - 1\right) + 4 \, {\left(x^{4} - 2 \, x^{2} + 1\right)} \log\left(x\right) - 1}{6 \, {\left(x^{4} - 2 \, x^{2} + 1\right)}}"," ",0,"-1/6*(2*(3*x^2 - 2)*sqrt(x^2 - 1)*arcsec(x) + x^2 - 2*(x^4 - 2*x^2 + 1)*log(x^2 - 1) + 4*(x^4 - 2*x^2 + 1)*log(x) - 1)/(x^4 - 2*x^2 + 1)","A",0
689,0,0,0,0.901726," ","integrate(x^6*arcsec(x)/(x^2-1)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{x^{2} - 1} x^{6} \operatorname{arcsec}\left(x\right)}{x^{6} - 3 \, x^{4} + 3 \, x^{2} - 1}, x\right)"," ",0,"integral(sqrt(x^2 - 1)*x^6*arcsec(x)/(x^6 - 3*x^4 + 3*x^2 - 1), x)","F",0
690,1,16,0,1.172385," ","integrate(arcsec(x)/x^2/(x^2-1)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{x^{2} - 1} \operatorname{arcsec}\left(x\right) + 1}{x}"," ",0,"(sqrt(x^2 - 1)*arcsec(x) + 1)/x","A",0
691,1,81,0,1.085190," ","integrate(arccsc(x)/x^2/(x^2-1)^(5/2),x, algorithm=""fricas"")","-\frac{10 \, x^{4} - 4 \, {\left(8 \, x^{4} - 12 \, x^{2} + 3\right)} \sqrt{x^{2} - 1} \operatorname{arccsc}\left(x\right) - 22 \, x^{2} + 11 \, {\left(x^{5} - 2 \, x^{3} + x\right)} \log\left(x + 1\right) - 11 \, {\left(x^{5} - 2 \, x^{3} + x\right)} \log\left(x - 1\right) + 12}{12 \, {\left(x^{5} - 2 \, x^{3} + x\right)}}"," ",0,"-1/12*(10*x^4 - 4*(8*x^4 - 12*x^2 + 3)*sqrt(x^2 - 1)*arccsc(x) - 22*x^2 + 11*(x^5 - 2*x^3 + x)*log(x + 1) - 11*(x^5 - 2*x^3 + x)*log(x - 1) + 12)/(x^5 - 2*x^3 + x)","A",0
692,1,37,0,1.187285," ","integrate(arccsc(x)^4/x^2/(x^2-1)^(1/2),x, algorithm=""fricas"")","-\frac{4 \, \operatorname{arccsc}\left(x\right)^{3} - {\left(\operatorname{arccsc}\left(x\right)^{4} - 12 \, \operatorname{arccsc}\left(x\right)^{2} + 24\right)} \sqrt{x^{2} - 1} - 24 \, \operatorname{arccsc}\left(x\right)}{x}"," ",0,"-(4*arccsc(x)^3 - (arccsc(x)^4 - 12*arccsc(x)^2 + 24)*sqrt(x^2 - 1) - 24*arccsc(x))/x","A",0
693,1,59,0,1.117603," ","integrate((x^2-1)^(3/2)*arcsec(x)^2/x^5,x, algorithm=""fricas"")","\frac{8 \, x^{4} \operatorname{arcsec}\left(x\right)^{3} + {\left(17 \, x^{4} - 40 \, x^{2} + 8\right)} \operatorname{arcsec}\left(x\right) - {\left(8 \, {\left(5 \, x^{2} - 2\right)} \operatorname{arcsec}\left(x\right)^{2} - 17 \, x^{2} + 2\right)} \sqrt{x^{2} - 1}}{64 \, x^{4}}"," ",0,"1/64*(8*x^4*arcsec(x)^3 + (17*x^4 - 40*x^2 + 8)*arcsec(x) - (8*(5*x^2 - 2)*arcsec(x)^2 - 17*x^2 + 2)*sqrt(x^2 - 1))/x^4","A",0
694,1,57,0,1.063006," ","integrate(arcsec(x)^3*(x^2-1)^(1/2)/x^4,x, algorithm=""fricas"")","\frac{9 \, {\left(3 \, x^{2} - 1\right)} \operatorname{arcsec}\left(x\right)^{2} - 42 \, x^{2} + 3 \, {\left(3 \, {\left(x^{2} - 1\right)} \operatorname{arcsec}\left(x\right)^{3} - 2 \, {\left(7 \, x^{2} - 1\right)} \operatorname{arcsec}\left(x\right)\right)} \sqrt{x^{2} - 1} + 2}{27 \, x^{3}}"," ",0,"1/27*(9*(3*x^2 - 1)*arcsec(x)^2 - 42*x^2 + 3*(3*(x^2 - 1)*arcsec(x)^3 - 2*(7*x^2 - 1)*arcsec(x))*sqrt(x^2 - 1) + 2)/x^3","A",0
695,1,51,0,1.140820," ","integrate(arcsin(((-a+x)/(a+x))^(1/2)),x, algorithm=""fricas"")","-\sqrt{2} {\left(a + x\right)} \sqrt{-\frac{a - x}{a + x}} \sqrt{\frac{a}{a + x}} + {\left(a + x\right)} \arcsin\left(\sqrt{-\frac{a - x}{a + x}}\right)"," ",0,"-sqrt(2)*(a + x)*sqrt(-(a - x)/(a + x))*sqrt(a/(a + x)) + (a + x)*arcsin(sqrt(-(a - x)/(a + x)))","A",0
696,1,58,0,1.123289," ","integrate(arctan(((-a+x)/(a+x))^(1/2)),x, algorithm=""fricas"")","x \arctan\left(\sqrt{-\frac{a - x}{a + x}}\right) - \frac{1}{2} \, a \log\left(\sqrt{-\frac{a - x}{a + x}} + 1\right) + \frac{1}{2} \, a \log\left(\sqrt{-\frac{a - x}{a + x}} - 1\right)"," ",0,"x*arctan(sqrt(-(a - x)/(a + x))) - 1/2*a*log(sqrt(-(a - x)/(a + x)) + 1) + 1/2*a*log(sqrt(-(a - x)/(a + x)) - 1)","A",0
697,1,50,0,1.058454," ","integrate(arctan(x)/(1+x)^3,x, algorithm=""fricas"")","-\frac{{\left(x^{2} + 2 \, x + 1\right)} \log\left(x^{2} + 1\right) - 2 \, {\left(x^{2} + 2 \, x + 1\right)} \log\left(x + 1\right) + 2 \, x + 4 \, \arctan\left(x\right) + 2}{8 \, {\left(x^{2} + 2 \, x + 1\right)}}"," ",0,"-1/8*((x^2 + 2*x + 1)*log(x^2 + 1) - 2*(x^2 + 2*x + 1)*log(x + 1) + 2*x + 4*arctan(x) + 2)/(x^2 + 2*x + 1)","A",0
698,0,0,0,0.996054," ","integrate(-arctan(a-x)/(a+x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\arctan\left(-a + x\right)}{a + x}, x\right)"," ",0,"integral(arctan(-a + x)/(a + x), x)","F",0
699,1,14,0,1.096765," ","integrate(arcsin((-x^2+1)^(1/2))/(-x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \arcsin\left(\sqrt{-x^{2} + 1}\right)^{2}"," ",0,"-1/2*arcsin(sqrt(-x^2 + 1))^2","A",0
700,1,25,0,1.159238," ","integrate(x*arctan((x^2+1)^(1/2))/(x^2+1)^(1/2),x, algorithm=""fricas"")","\sqrt{x^{2} + 1} \arctan\left(\sqrt{x^{2} + 1}\right) - \frac{1}{2} \, \log\left(x^{2} + 2\right)"," ",0,"sqrt(x^2 + 1)*arctan(sqrt(x^2 + 1)) - 1/2*log(x^2 + 2)","A",0
701,1,90,0,1.143055," ","integrate(arcsin(x)/(1-x)^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(x^{2} - 2 \, x + 1\right)} \log\left(-\frac{x^{2} + 2 \, \sqrt{2} \sqrt{-x^{2} + 1} \sqrt{-x + 1} + 2 \, x - 3}{x^{2} - 2 \, x + 1}\right) - 4 \, \sqrt{-x + 1} {\left(\sqrt{-x^{2} + 1} - 2 \, \arcsin\left(x\right)\right)}}{12 \, {\left(x^{2} - 2 \, x + 1\right)}}"," ",0,"1/12*(sqrt(2)*(x^2 - 2*x + 1)*log(-(x^2 + 2*sqrt(2)*sqrt(-x^2 + 1)*sqrt(-x + 1) + 2*x - 3)/(x^2 - 2*x + 1)) - 4*sqrt(-x + 1)*(sqrt(-x^2 + 1) - 2*arcsin(x)))/(x^2 - 2*x + 1)","B",0
702,1,125,0,1.160002," ","integrate((-1+x)^(5/2)*arccsc(x),x, algorithm=""fricas"")","\frac{2 \, {\left(15 \, {\left(x^{4} - 4 \, x^{3} + 6 \, x^{2} - 4 \, x + 1\right)} \sqrt{x - 1} \operatorname{arccsc}\left(x\right) + 2 \, {\left(3 \, x^{2} - 19 \, x + 83\right)} \sqrt{x^{2} - 1} \sqrt{x - 1} + 15 \, {\left(x - 1\right)} \log\left(\frac{x^{2} + \sqrt{x^{2} - 1} \sqrt{x - 1} - 1}{x^{2} - 1}\right) - 15 \, {\left(x - 1\right)} \log\left(-\frac{x^{2} - \sqrt{x^{2} - 1} \sqrt{x - 1} - 1}{x^{2} - 1}\right)\right)}}{105 \, {\left(x - 1\right)}}"," ",0,"2/105*(15*(x^4 - 4*x^3 + 6*x^2 - 4*x + 1)*sqrt(x - 1)*arccsc(x) + 2*(3*x^2 - 19*x + 83)*sqrt(x^2 - 1)*sqrt(x - 1) + 15*(x - 1)*log((x^2 + sqrt(x^2 - 1)*sqrt(x - 1) - 1)/(x^2 - 1)) - 15*(x - 1)*log(-(x^2 - sqrt(x^2 - 1)*sqrt(x - 1) - 1)/(x^2 - 1)))/(x - 1)","B",0
703,1,519,0,1.146556," ","integrate(arcsin(sinh(x))*sech(x)^4,x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 2 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \sqrt{-\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} - 3}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}} - 4 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + 3 \, {\left(5 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, \cosh\left(x\right)^{4} + 6 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 3 \, \cosh\left(x\right)^{2} + 6 \, {\left(\cosh\left(x\right)^{5} + 2 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)} \arctan\left(\frac{\sqrt{2} {\left(3 \, \cosh\left(x\right)^{2} + 6 \, \cosh\left(x\right) \sinh\left(x\right) + 3 \, \sinh\left(x\right)^{2} - 1\right)} \sqrt{-\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} - 3}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}}}{\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 6 \, {\left(\cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - 6 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 1}\right) + 8 \, {\left(3 \, \cosh\left(x\right)^{2} + 6 \, \cosh\left(x\right) \sinh\left(x\right) + 3 \, \sinh\left(x\right)^{2} + 1\right)} \arctan\left(\frac{\sqrt{2} {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1\right)} \sqrt{-\frac{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} - 3}{\cosh\left(x\right)^{2} - 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2}}}}{\cosh\left(x\right)^{4} + 4 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + \sinh\left(x\right)^{4} + 6 \, {\left(\cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - 6 \, \cosh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right) + 1}\right)}{6 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + 3 \, {\left(5 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{4} + 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, \cosh\left(x\right)^{4} + 6 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 3 \, \cosh\left(x\right)^{2} + 6 \, {\left(\cosh\left(x\right)^{5} + 2 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) + 1\right)}}"," ",0,"1/6*(sqrt(2)*(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 2*(3*cosh(x)^2 + 1)*sinh(x)^2 + 2*cosh(x)^2 + 4*(cosh(x)^3 + cosh(x))*sinh(x) + 1)*sqrt(-(cosh(x)^2 + sinh(x)^2 - 3)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2)) - 4*(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + 3*(5*cosh(x)^2 + 1)*sinh(x)^4 + 3*cosh(x)^4 + 4*(5*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 3*(5*cosh(x)^4 + 6*cosh(x)^2 + 1)*sinh(x)^2 + 3*cosh(x)^2 + 6*(cosh(x)^5 + 2*cosh(x)^3 + cosh(x))*sinh(x) + 1)*arctan(sqrt(2)*(3*cosh(x)^2 + 6*cosh(x)*sinh(x) + 3*sinh(x)^2 - 1)*sqrt(-(cosh(x)^2 + sinh(x)^2 - 3)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2))/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 6*(cosh(x)^2 - 1)*sinh(x)^2 - 6*cosh(x)^2 + 4*(cosh(x)^3 - 3*cosh(x))*sinh(x) + 1)) + 8*(3*cosh(x)^2 + 6*cosh(x)*sinh(x) + 3*sinh(x)^2 + 1)*arctan(sqrt(2)*(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)*sqrt(-(cosh(x)^2 + sinh(x)^2 - 3)/(cosh(x)^2 - 2*cosh(x)*sinh(x) + sinh(x)^2))/(cosh(x)^4 + 4*cosh(x)*sinh(x)^3 + sinh(x)^4 + 6*(cosh(x)^2 - 1)*sinh(x)^2 - 6*cosh(x)^2 + 4*(cosh(x)^3 - 3*cosh(x))*sinh(x) + 1)))/(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + 3*(5*cosh(x)^2 + 1)*sinh(x)^4 + 3*cosh(x)^4 + 4*(5*cosh(x)^3 + 3*cosh(x))*sinh(x)^3 + 3*(5*cosh(x)^4 + 6*cosh(x)^2 + 1)*sinh(x)^2 + 3*cosh(x)^2 + 6*(cosh(x)^5 + 2*cosh(x)^3 + cosh(x))*sinh(x) + 1)","B",0
704,1,423,0,0.695809," ","integrate(arccot(cosh(x))*cosh(x)/sinh(x)^4,x, algorithm=""fricas"")","\frac{8 \, \cosh\left(x\right)^{4} + 32 \, \cosh\left(x\right) \sinh\left(x\right)^{3} + 8 \, \sinh\left(x\right)^{4} + 16 \, {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{2} - 64 \, {\left(\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3}\right)} \arctan\left(\frac{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1}\right) - 16 \, \cosh\left(x\right)^{2} + {\left(\sqrt{2} \cosh\left(x\right)^{6} + 6 \, \sqrt{2} \cosh\left(x\right) \sinh\left(x\right)^{5} + \sqrt{2} \sinh\left(x\right)^{6} + 3 \, {\left(5 \, \sqrt{2} \cosh\left(x\right)^{2} - \sqrt{2}\right)} \sinh\left(x\right)^{4} - 3 \, \sqrt{2} \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \sqrt{2} \cosh\left(x\right)^{3} - 3 \, \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, \sqrt{2} \cosh\left(x\right)^{4} - 6 \, \sqrt{2} \cosh\left(x\right)^{2} + \sqrt{2}\right)} \sinh\left(x\right)^{2} + 3 \, \sqrt{2} \cosh\left(x\right)^{2} + 6 \, {\left(\sqrt{2} \cosh\left(x\right)^{5} - 2 \, \sqrt{2} \cosh\left(x\right)^{3} + \sqrt{2} \cosh\left(x\right)\right)} \sinh\left(x\right) - \sqrt{2}\right)} \log\left(-\frac{3 \, {\left(2 \, \sqrt{2} - 3\right)} \cosh\left(x\right)^{2} - 4 \, {\left(3 \, \sqrt{2} - 4\right)} \cosh\left(x\right) \sinh\left(x\right) + 3 \, {\left(2 \, \sqrt{2} - 3\right)} \sinh\left(x\right)^{2} + 2 \, \sqrt{2} - 3}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} + 3}\right) + 32 \, {\left(\cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} \sinh\left(x\right) + 8}{24 \, {\left(\cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right) \sinh\left(x\right)^{5} + \sinh\left(x\right)^{6} + 3 \, {\left(5 \, \cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right)^{4} - 3 \, \cosh\left(x\right)^{4} + 4 \, {\left(5 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, \cosh\left(x\right)^{4} - 6 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right)^{2} + 3 \, \cosh\left(x\right)^{2} + 6 \, {\left(\cosh\left(x\right)^{5} - 2 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} \sinh\left(x\right) - 1\right)}}"," ",0,"1/24*(8*cosh(x)^4 + 32*cosh(x)*sinh(x)^3 + 8*sinh(x)^4 + 16*(3*cosh(x)^2 - 1)*sinh(x)^2 - 64*(cosh(x)^3 + 3*cosh(x)^2*sinh(x) + 3*cosh(x)*sinh(x)^2 + sinh(x)^3)*arctan(2*(cosh(x) + sinh(x))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)) - 16*cosh(x)^2 + (sqrt(2)*cosh(x)^6 + 6*sqrt(2)*cosh(x)*sinh(x)^5 + sqrt(2)*sinh(x)^6 + 3*(5*sqrt(2)*cosh(x)^2 - sqrt(2))*sinh(x)^4 - 3*sqrt(2)*cosh(x)^4 + 4*(5*sqrt(2)*cosh(x)^3 - 3*sqrt(2)*cosh(x))*sinh(x)^3 + 3*(5*sqrt(2)*cosh(x)^4 - 6*sqrt(2)*cosh(x)^2 + sqrt(2))*sinh(x)^2 + 3*sqrt(2)*cosh(x)^2 + 6*(sqrt(2)*cosh(x)^5 - 2*sqrt(2)*cosh(x)^3 + sqrt(2)*cosh(x))*sinh(x) - sqrt(2))*log(-(3*(2*sqrt(2) - 3)*cosh(x)^2 - 4*(3*sqrt(2) - 4)*cosh(x)*sinh(x) + 3*(2*sqrt(2) - 3)*sinh(x)^2 + 2*sqrt(2) - 3)/(cosh(x)^2 + sinh(x)^2 + 3)) + 32*(cosh(x)^3 - cosh(x))*sinh(x) + 8)/(cosh(x)^6 + 6*cosh(x)*sinh(x)^5 + sinh(x)^6 + 3*(5*cosh(x)^2 - 1)*sinh(x)^4 - 3*cosh(x)^4 + 4*(5*cosh(x)^3 - 3*cosh(x))*sinh(x)^3 + 3*(5*cosh(x)^4 - 6*cosh(x)^2 + 1)*sinh(x)^2 + 3*cosh(x)^2 + 6*(cosh(x)^5 - 2*cosh(x)^3 + cosh(x))*sinh(x) - 1)","B",0
705,1,26,0,1.041742," ","integrate(exp(x)*arcsin(tanh(x)),x, algorithm=""fricas"")","{\left(\cosh\left(x\right) + \sinh\left(x\right)\right)} \arctan\left(\sinh\left(x\right)\right) - \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)"," ",0,"(cosh(x) + sinh(x))*arctan(sinh(x)) - log(2*cosh(x)/(cosh(x) - sinh(x)))","A",0
