1,0,0,0,0.000000," ","integrate(x^5*(a+b*arctan(c*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
2,0,0,0,0.000000," ","integrate(x^4*(a+b*arctan(c*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
3,0,0,0,0.000000," ","integrate(x^3*(a+b*arctan(c*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
4,0,0,0,0.000000," ","integrate(x^2*(a+b*arctan(c*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
5,0,0,0,0.000000," ","integrate(x*(a+b*arctan(c*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
6,1,31,0,2.958261," ","integrate(a+b*arctan(c*x),x, algorithm=""giac"")","a x + \frac{{\left(2 \, c x \arctan\left(c x\right) - \log\left(c^{2} x^{2} + 1\right)\right)} b}{2 \, c}"," ",0,"a*x + 1/2*(2*c*x*arctan(c*x) - log(c^2*x^2 + 1))*b/c","A",0
7,0,0,0,0.000000," ","integrate((a+b*arctan(c*x))/x,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
8,0,0,0,0.000000," ","integrate((a+b*arctan(c*x))/x^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
9,0,0,0,0.000000," ","integrate((a+b*arctan(c*x))/x^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
10,0,0,0,0.000000," ","integrate((a+b*arctan(c*x))/x^4,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
11,0,0,0,0.000000," ","integrate((a+b*arctan(c*x))/x^5,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
12,0,0,0,0.000000," ","integrate((a+b*arctan(c*x))/x^6,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
13,0,0,0,0.000000," ","integrate(x^5*(a+b*arctan(c*x))^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
14,0,0,0,0.000000," ","integrate(x^4*(a+b*arctan(c*x))^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
15,0,0,0,0.000000," ","integrate(x^3*(a+b*arctan(c*x))^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
16,0,0,0,0.000000," ","integrate(x^2*(a+b*arctan(c*x))^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
17,0,0,0,0.000000," ","integrate(x*(a+b*arctan(c*x))^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
18,0,0,0,0.000000," ","integrate((a+b*arctan(c*x))^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
19,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^2/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
20,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^2/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
21,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^2/x^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
22,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^2/x^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
23,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^2/x^5,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,0,0,0,0.000000," ","integrate(x^5*(a+b*arctan(c*x))^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
25,0,0,0,0.000000," ","integrate(x^4*(a+b*arctan(c*x))^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
26,0,0,0,0.000000," ","integrate(x^3*(a+b*arctan(c*x))^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
27,0,0,0,0.000000," ","integrate(x^2*(a+b*arctan(c*x))^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
28,0,0,0,0.000000," ","integrate(x*(a+b*arctan(c*x))^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
29,0,0,0,0.000000," ","integrate((a+b*arctan(c*x))^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
30,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^3/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
31,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^3/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
32,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^3/x^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
33,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^3/x^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
34,-1,0,0,0.000000," ","integrate((a+b*arctan(c*x))^3/x^5,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
35,0,0,0,0.000000," ","integrate(x/arctan(a*x),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
36,0,0,0,0.000000," ","integrate(1/arctan(a*x),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
37,0,0,0,0.000000," ","integrate(1/x/arctan(a*x),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
38,0,0,0,0.000000," ","integrate(x/arctan(a*x)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
39,0,0,0,0.000000," ","integrate(1/arctan(a*x)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
40,0,0,0,0.000000," ","integrate(1/x/arctan(a*x)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
41,0,0,0,0.000000," ","integrate(x*arctan(a*x)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
42,0,0,0,0.000000," ","integrate(arctan(a*x)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
43,-1,0,0,0.000000," ","integrate(arctan(a*x)^(1/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
44,0,0,0,0.000000," ","integrate(x*arctan(a*x)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
45,0,0,0,0.000000," ","integrate(arctan(a*x)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
46,-1,0,0,0.000000," ","integrate(arctan(a*x)^(3/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
47,0,0,0,0.000000," ","integrate(x/arctan(a*x)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
48,0,0,0,0.000000," ","integrate(1/arctan(a*x)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
49,0,0,0,0.000000," ","integrate(1/x/arctan(a*x)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
50,-1,0,0,0.000000," ","integrate(x/arctan(a*x)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
51,-1,0,0,0.000000," ","integrate(1/arctan(a*x)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
52,-1,0,0,0.000000," ","integrate(1/x/arctan(a*x)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
53,1,86,0,0.995225," ","integrate(arctan(x)*x^(1/2),x, algorithm=""giac"")","\frac{2}{3} \, x^{\frac{3}{2}} \arctan\left(x\right) + \frac{1}{3} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{x}\right)}\right) + \frac{1}{3} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{x}\right)}\right) + \frac{1}{6} \, \sqrt{2} \log\left(\sqrt{2} \sqrt{x} + x + 1\right) - \frac{1}{6} \, \sqrt{2} \log\left(-\sqrt{2} \sqrt{x} + x + 1\right) - \frac{4}{3} \, \sqrt{x}"," ",0,"2/3*x^(3/2)*arctan(x) + 1/3*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(x))) + 1/3*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(x))) + 1/6*sqrt(2)*log(sqrt(2)*sqrt(x) + x + 1) - 1/6*sqrt(2)*log(-sqrt(2)*sqrt(x) + x + 1) - 4/3*sqrt(x)","A",0
54,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*arctan(c*x))^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
55,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*arctan(c*x))^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
56,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*arctan(c*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
57,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*arctan(c*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
58,0,0,0,0.000000," ","integrate((a+b*arctan(c*x))^p,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
59,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*arctan(c*x))^p,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
60,1,60,0,0.163670," ","integrate(x^7*(a+b*arctan(c*x^2)),x, algorithm=""giac"")","\frac{3 \, a c x^{8} + {\left(3 \, c x^{8} \arctan\left(c x^{2}\right) - \frac{3 \, \arctan\left(c x^{2}\right)}{c^{3}} - \frac{c^{9} x^{6} - 3 \, c^{7} x^{2}}{c^{9}}\right)} b}{24 \, c}"," ",0,"1/24*(3*a*c*x^8 + (3*c*x^8*arctan(c*x^2) - 3*arctan(c*x^2)/c^3 - (c^9*x^6 - 3*c^7*x^2)/c^9)*b)/c","A",0
61,1,47,0,0.171480," ","integrate(x^5*(a+b*arctan(c*x^2)),x, algorithm=""giac"")","\frac{2 \, a c x^{6} + {\left(2 \, c x^{6} \arctan\left(c x^{2}\right) - x^{4} + \frac{\log\left(c^{2} x^{4} + 1\right)}{c^{2}}\right)} b}{12 \, c}"," ",0,"1/12*(2*a*c*x^6 + (2*c*x^6*arctan(c*x^2) - x^4 + log(c^2*x^4 + 1)/c^2)*b)/c","A",0
62,1,43,0,0.200491," ","integrate(x^3*(a+b*arctan(c*x^2)),x, algorithm=""giac"")","\frac{a c x^{4} + \frac{{\left(c^{2} x^{4} \arctan\left(c x^{2}\right) - c x^{2} + \arctan\left(c x^{2}\right)\right)} b}{c}}{4 \, c}"," ",0,"1/4*(a*c*x^4 + (c^2*x^4*arctan(c*x^2) - c*x^2 + arctan(c*x^2))*b/c)/c","A",0
63,1,40,0,0.150793," ","integrate(x*(a+b*arctan(c*x^2)),x, algorithm=""giac"")","\frac{2 \, a c x^{2} + {\left(2 \, c x^{2} \arctan\left(c x^{2}\right) - \log\left(c^{2} x^{4} + 1\right)\right)} b}{4 \, c}"," ",0,"1/4*(2*a*c*x^2 + (2*c*x^2*arctan(c*x^2) - log(c^2*x^4 + 1))*b)/c","A",0
64,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^2))/x,x, algorithm=""giac"")","\int \frac{b \arctan\left(c x^{2}\right) + a}{x}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)/x, x)","F",0
65,1,60,0,0.174053," ","integrate((a+b*arctan(c*x^2))/x^3,x, algorithm=""giac"")","-\frac{b c^{3} x^{2} \log\left(c^{2} x^{4} + 1\right) - 2 \, b c^{3} x^{2} \log\left(c x^{2}\right) + 2 \, b c^{2} \arctan\left(c x^{2}\right) + 2 \, a c^{2}}{4 \, c^{2} x^{2}}"," ",0,"-1/4*(b*c^3*x^2*log(c^2*x^4 + 1) - 2*b*c^3*x^2*log(c*x^2) + 2*b*c^2*arctan(c*x^2) + 2*a*c^2)/(c^2*x^2)","A",0
66,1,74,0,2.809575," ","integrate((a+b*arctan(c*x^2))/x^5,x, algorithm=""giac"")","\frac{b c^{5} i x^{4} \log\left(c i x^{2} + 1\right) - b c^{5} i x^{4} \log\left(-c i x^{2} + 1\right) - 2 \, b c^{4} x^{2} - 2 \, b c^{3} \arctan\left(c x^{2}\right) - 2 \, a c^{3}}{8 \, c^{3} x^{4}}"," ",0,"1/8*(b*c^5*i*x^4*log(c*i*x^2 + 1) - b*c^5*i*x^4*log(-c*i*x^2 + 1) - 2*b*c^4*x^2 - 2*b*c^3*arctan(c*x^2) - 2*a*c^3)/(c^3*x^4)","B",0
67,1,69,0,0.141617," ","integrate((a+b*arctan(c*x^2))/x^7,x, algorithm=""giac"")","\frac{b c^{7} x^{6} \log\left(c^{2} x^{4} + 1\right) - 2 \, b c^{7} x^{6} \log\left(c x^{2}\right) - b c^{5} x^{2} - 2 \, b c^{4} \arctan\left(c x^{2}\right) - 2 \, a c^{4}}{12 \, c^{4} x^{6}}"," ",0,"1/12*(b*c^7*x^6*log(c^2*x^4 + 1) - 2*b*c^7*x^6*log(c*x^2) - b*c^5*x^2 - 2*b*c^4*arctan(c*x^2) - 2*a*c^4)/(c^4*x^6)","A",0
68,1,169,0,2.851547," ","integrate(x^4*(a+b*arctan(c*x^2)),x, algorithm=""giac"")","\frac{1}{20} \, b c^{9} {\left(\frac{2 \, \sqrt{2} \sqrt{{\left| c \right|}} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{c^{12}} + \frac{2 \, \sqrt{2} \sqrt{{\left| c \right|}} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{c^{12}} - \frac{\sqrt{2} \log\left(x^{2} + \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{c^{10} {\left| c \right|}^{\frac{3}{2}}} + \frac{\sqrt{2} \sqrt{{\left| c \right|}} \log\left(x^{2} - \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{c^{12}}\right)} + \frac{3 \, b c x^{5} \arctan\left(c x^{2}\right) + 3 \, a c x^{5} - 2 \, b x^{3}}{15 \, c}"," ",0,"1/20*b*c^9*(2*sqrt(2)*sqrt(abs(c))*arctan(1/2*sqrt(2)*(2*x + sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/c^12 + 2*sqrt(2)*sqrt(abs(c))*arctan(1/2*sqrt(2)*(2*x - sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/c^12 - sqrt(2)*log(x^2 + sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/(c^10*abs(c)^(3/2)) + sqrt(2)*sqrt(abs(c))*log(x^2 - sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/c^12) + 1/15*(3*b*c*x^5*arctan(c*x^2) + 3*a*c*x^5 - 2*b*x^3)/c","A",0
69,1,165,0,3.074627," ","integrate(x^2*(a+b*arctan(c*x^2)),x, algorithm=""giac"")","\frac{1}{12} \, b c^{5} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{c^{6} \sqrt{{\left| c \right|}}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{c^{6} \sqrt{{\left| c \right|}}} + \frac{\sqrt{2} \log\left(x^{2} + \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{c^{6} \sqrt{{\left| c \right|}}} - \frac{\sqrt{2} \log\left(x^{2} - \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{c^{6} \sqrt{{\left| c \right|}}}\right)} + \frac{b c x^{3} \arctan\left(c x^{2}\right) + a c x^{3} - 2 \, b x}{3 \, c}"," ",0,"1/12*b*c^5*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/(c^6*sqrt(abs(c))) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/(c^6*sqrt(abs(c))) + sqrt(2)*log(x^2 + sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/(c^6*sqrt(abs(c))) - sqrt(2)*log(x^2 - sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/(c^6*sqrt(abs(c)))) + 1/3*(b*c*x^3*arctan(c*x^2) + a*c*x^3 - 2*b*x)/c","A",0
70,1,149,0,0.180167," ","integrate(a+b*arctan(c*x^2),x, algorithm=""giac"")","-\frac{1}{4} \, {\left(c {\left(\frac{2 \, \sqrt{2} \sqrt{{\left| c \right|}} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{c^{2}} + \frac{2 \, \sqrt{2} \sqrt{{\left| c \right|}} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{c^{2}} - \frac{\sqrt{2} \sqrt{{\left| c \right|}} \log\left(x^{2} + \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{c^{2}} + \frac{\sqrt{2} \sqrt{{\left| c \right|}} \log\left(x^{2} - \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{c^{2}}\right)} - 4 \, x \arctan\left(c x^{2}\right)\right)} b + a x"," ",0,"-1/4*(c*(2*sqrt(2)*sqrt(abs(c))*arctan(1/2*sqrt(2)*(2*x + sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/c^2 + 2*sqrt(2)*sqrt(abs(c))*arctan(1/2*sqrt(2)*(2*x - sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/c^2 - sqrt(2)*sqrt(abs(c))*log(x^2 + sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/c^2 + sqrt(2)*sqrt(abs(c))*log(x^2 - sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/c^2) - 4*x*arctan(c*x^2))*b + a*x","A",0
71,1,138,0,0.208964," ","integrate((a+b*arctan(c*x^2))/x^2,x, algorithm=""giac"")","\frac{1}{4} \, b c {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{\sqrt{{\left| c \right|}}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{\sqrt{{\left| c \right|}}} + \frac{\sqrt{2} \log\left(x^{2} + \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{\sqrt{{\left| c \right|}}} - \frac{\sqrt{2} \log\left(x^{2} - \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{\sqrt{{\left| c \right|}}}\right)} - \frac{b \arctan\left(c x^{2}\right) + a}{x}"," ",0,"1/4*b*c*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/sqrt(abs(c)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/sqrt(abs(c)) + sqrt(2)*log(x^2 + sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/sqrt(abs(c)) - sqrt(2)*log(x^2 - sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/sqrt(abs(c))) - (b*arctan(c*x^2) + a)/x","A",0
72,1,159,0,5.357131," ","integrate((a+b*arctan(c*x^2))/x^4,x, algorithm=""giac"")","-\frac{1}{12} \, b c^{3} {\left(\frac{2 \, \sqrt{2} \sqrt{{\left| c \right|}} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{c^{2}} + \frac{2 \, \sqrt{2} \sqrt{{\left| c \right|}} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{c^{2}} - \frac{\sqrt{2} \sqrt{{\left| c \right|}} \log\left(x^{2} + \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{c^{2}} + \frac{\sqrt{2} \sqrt{{\left| c \right|}} \log\left(x^{2} - \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{c^{2}}\right)} - \frac{2 \, b c x^{2} + b \arctan\left(c x^{2}\right) + a}{3 \, x^{3}}"," ",0,"-1/12*b*c^3*(2*sqrt(2)*sqrt(abs(c))*arctan(1/2*sqrt(2)*(2*x + sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/c^2 + 2*sqrt(2)*sqrt(abs(c))*arctan(1/2*sqrt(2)*(2*x - sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/c^2 - sqrt(2)*sqrt(abs(c))*log(x^2 + sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/c^2 + sqrt(2)*sqrt(abs(c))*log(x^2 - sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/c^2) - 1/3*(2*b*c*x^2 + b*arctan(c*x^2) + a)/x^3","A",0
73,1,150,0,0.245280," ","integrate((a+b*arctan(c*x^2))/x^6,x, algorithm=""giac"")","-\frac{1}{20} \, b c^{3} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{\sqrt{{\left| c \right|}}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \frac{\sqrt{2}}{\sqrt{{\left| c \right|}}}\right)} \sqrt{{\left| c \right|}}\right)}{\sqrt{{\left| c \right|}}} + \frac{\sqrt{2} \log\left(x^{2} + \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{\sqrt{{\left| c \right|}}} - \frac{\sqrt{2} \log\left(x^{2} - \frac{\sqrt{2} x}{\sqrt{{\left| c \right|}}} + \frac{1}{{\left| c \right|}}\right)}{\sqrt{{\left| c \right|}}}\right)} - \frac{2 \, b c x^{2} + 3 \, b \arctan\left(c x^{2}\right) + 3 \, a}{15 \, x^{5}}"," ",0,"-1/20*b*c^3*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/sqrt(abs(c)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)/sqrt(abs(c)))*sqrt(abs(c)))/sqrt(abs(c)) + sqrt(2)*log(x^2 + sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/sqrt(abs(c)) - sqrt(2)*log(x^2 - sqrt(2)*x/sqrt(abs(c)) + 1/abs(c))/sqrt(abs(c))) - 1/15*(2*b*c*x^2 + 3*b*arctan(c*x^2) + 3*a)/x^5","A",0
74,1,145,0,0.177434," ","integrate(x^7*(a+b*arctan(c*x^2))^2,x, algorithm=""giac"")","\frac{3 \, a^{2} c x^{8} + 2 \, {\left(3 \, c x^{8} \arctan\left(c x^{2}\right) - \frac{3 \, \arctan\left(c x^{2}\right)}{c^{3}} - \frac{c^{9} x^{6} - 3 \, c^{7} x^{2}}{c^{9}}\right)} a b + {\left(3 \, c x^{8} \arctan\left(c x^{2}\right)^{2} - \frac{2 \, c^{3} x^{6} \arctan\left(c x^{2}\right) - c^{2} x^{4} - 6 \, c x^{2} \arctan\left(c x^{2}\right) + 3 \, \arctan\left(c x^{2}\right)^{2} + 4 \, \log\left(c^{2} x^{4} + 1\right)}{c^{3}}\right)} b^{2}}{24 \, c}"," ",0,"1/24*(3*a^2*c*x^8 + 2*(3*c*x^8*arctan(c*x^2) - 3*arctan(c*x^2)/c^3 - (c^9*x^6 - 3*c^7*x^2)/c^9)*a*b + (3*c*x^8*arctan(c*x^2)^2 - (2*c^3*x^6*arctan(c*x^2) - c^2*x^4 - 6*c*x^2*arctan(c*x^2) + 3*arctan(c*x^2)^2 + 4*log(c^2*x^4 + 1))/c^3)*b^2)/c","A",0
75,0,0,0,0.000000," ","integrate(x^5*(a+b*arctan(c*x^2))^2,x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{2}\right) + a\right)}^{2} x^{5}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^2*x^5, x)","F",0
76,1,100,0,1.333011," ","integrate(x^3*(a+b*arctan(c*x^2))^2,x, algorithm=""giac"")","\frac{a^{2} c x^{4} + \frac{2 \, {\left(c^{2} x^{4} \arctan\left(c x^{2}\right) - c x^{2} + \arctan\left(c x^{2}\right)\right)} a b}{c} + \frac{{\left(c^{2} x^{4} \arctan\left(c x^{2}\right)^{2} - 2 \, c x^{2} \arctan\left(c x^{2}\right) + \arctan\left(c x^{2}\right)^{2} + \log\left(c^{2} x^{4} + 1\right)\right)} b^{2}}{c}}{4 \, c}"," ",0,"1/4*(a^2*c*x^4 + 2*(c^2*x^4*arctan(c*x^2) - c*x^2 + arctan(c*x^2))*a*b/c + (c^2*x^4*arctan(c*x^2)^2 - 2*c*x^2*arctan(c*x^2) + arctan(c*x^2)^2 + log(c^2*x^4 + 1))*b^2/c)/c","A",0
77,0,0,0,0.000000," ","integrate(x*(a+b*arctan(c*x^2))^2,x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{2}\right) + a\right)}^{2} x\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^2*x, x)","F",0
78,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^2))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{2}\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^2/x, x)","F",0
79,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^2))^2/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{2}\right) + a\right)}^{2}}{x^{3}}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^2/x^3, x)","F",0
80,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^2))^2/x^5,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{2}\right) + a\right)}^{2}}{x^{5}}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^2/x^5, x)","F",0
81,0,0,0,0.000000," ","integrate(x^2*(a+b*arctan(c*x^2))^2,x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{2}\right) + a\right)}^{2} x^{2}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^2*x^2, x)","F",0
82,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^2))^2,x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{2}\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^2, x)","F",0
83,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^2))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{2}\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^2/x^2, x)","F",0
84,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^2))^2/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{2}\right) + a\right)}^{2}}{x^{4}}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^2/x^4, x)","F",0
85,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^2))^2/x^6,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{2}\right) + a\right)}^{2}}{x^{6}}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^2/x^6, x)","F",0
86,0,0,0,0.000000," ","integrate(x^3*(a+b*arctan(c*x^2))^3,x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{2}\right) + a\right)}^{3} x^{3}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^3*x^3, x)","F",0
87,0,0,0,0.000000," ","integrate(x*(a+b*arctan(c*x^2))^3,x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{2}\right) + a\right)}^{3} x\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^3*x, x)","F",0
88,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^2))^3/x,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{2}\right) + a\right)}^{3}}{x}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^3/x, x)","F",0
89,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^2))^3/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{2}\right) + a\right)}^{3}}{x^{3}}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^3/x^3, x)","F",0
90,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^2))^3/x^5,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{2}\right) + a\right)}^{3}}{x^{5}}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^3/x^5, x)","F",0
91,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*arctan(c*x^2))^3,x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{2}\right) + a\right)}^{3} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^3*(d*x)^m, x)","F",0
92,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*arctan(c*x^2))^2,x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{2}\right) + a\right)}^{2} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)^2*(d*x)^m, x)","F",0
93,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*arctan(c*x^2)),x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{2}\right) + a\right)} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((b*arctan(c*x^2) + a)*(d*x)^m, x)","F",0
94,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*arctan(c*x^2)),x, algorithm=""giac"")","\int \frac{\left(d x\right)^{m}}{b \arctan\left(c x^{2}\right) + a}\,{d x}"," ",0,"integrate((d*x)^m/(b*arctan(c*x^2) + a), x)","F",0
95,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*arctan(c*x^2))^2,x, algorithm=""giac"")","\int \frac{\left(d x\right)^{m}}{{\left(b \arctan\left(c x^{2}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x)^m/(b*arctan(c*x^2) + a)^2, x)","F",0
96,1,60,0,0.162740," ","integrate(x^11*(a+b*arctan(c*x^3)),x, algorithm=""giac"")","\frac{3 \, a c x^{12} + {\left(3 \, c x^{12} \arctan\left(c x^{3}\right) - \frac{3 \, \arctan\left(c x^{3}\right)}{c^{3}} - \frac{c^{9} x^{9} - 3 \, c^{7} x^{3}}{c^{9}}\right)} b}{36 \, c}"," ",0,"1/36*(3*a*c*x^12 + (3*c*x^12*arctan(c*x^3) - 3*arctan(c*x^3)/c^3 - (c^9*x^9 - 3*c^7*x^3)/c^9)*b)/c","A",0
97,1,47,0,0.807127," ","integrate(x^8*(a+b*arctan(c*x^3)),x, algorithm=""giac"")","\frac{2 \, a c x^{9} + {\left(2 \, c x^{9} \arctan\left(c x^{3}\right) - x^{6} + \frac{\log\left(c^{2} x^{6} + 1\right)}{c^{2}}\right)} b}{18 \, c}"," ",0,"1/18*(2*a*c*x^9 + (2*c*x^9*arctan(c*x^3) - x^6 + log(c^2*x^6 + 1)/c^2)*b)/c","A",0
98,1,43,0,0.169247," ","integrate(x^5*(a+b*arctan(c*x^3)),x, algorithm=""giac"")","\frac{a c x^{6} + \frac{{\left(c^{2} x^{6} \arctan\left(c x^{3}\right) - c x^{3} + \arctan\left(c x^{3}\right)\right)} b}{c}}{6 \, c}"," ",0,"1/6*(a*c*x^6 + (c^2*x^6*arctan(c*x^3) - c*x^3 + arctan(c*x^3))*b/c)/c","A",0
99,1,40,0,0.708841," ","integrate(x^2*(a+b*arctan(c*x^3)),x, algorithm=""giac"")","\frac{2 \, a c x^{3} + {\left(2 \, c x^{3} \arctan\left(c x^{3}\right) - \log\left(c^{2} x^{6} + 1\right)\right)} b}{6 \, c}"," ",0,"1/6*(2*a*c*x^3 + (2*c*x^3*arctan(c*x^3) - log(c^2*x^6 + 1))*b)/c","A",0
100,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^3))/x,x, algorithm=""giac"")","\int \frac{b \arctan\left(c x^{3}\right) + a}{x}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)/x, x)","F",0
101,1,60,0,2.010116," ","integrate((a+b*arctan(c*x^3))/x^4,x, algorithm=""giac"")","-\frac{b c^{3} x^{3} \log\left(c^{2} x^{6} + 1\right) - 2 \, b c^{3} x^{3} \log\left(c x^{3}\right) + 2 \, b c^{2} \arctan\left(c x^{3}\right) + 2 \, a c^{2}}{6 \, c^{2} x^{3}}"," ",0,"-1/6*(b*c^3*x^3*log(c^2*x^6 + 1) - 2*b*c^3*x^3*log(c*x^3) + 2*b*c^2*arctan(c*x^3) + 2*a*c^2)/(c^2*x^3)","A",0
102,1,74,0,0.170143," ","integrate((a+b*arctan(c*x^3))/x^7,x, algorithm=""giac"")","\frac{b c^{5} i x^{6} \log\left(c i x^{3} + 1\right) - b c^{5} i x^{6} \log\left(-c i x^{3} + 1\right) - 2 \, b c^{4} x^{3} - 2 \, b c^{3} \arctan\left(c x^{3}\right) - 2 \, a c^{3}}{12 \, c^{3} x^{6}}"," ",0,"1/12*(b*c^5*i*x^6*log(c*i*x^3 + 1) - b*c^5*i*x^6*log(-c*i*x^3 + 1) - 2*b*c^4*x^3 - 2*b*c^3*arctan(c*x^3) - 2*a*c^3)/(c^3*x^6)","B",0
103,1,69,0,0.155947," ","integrate((a+b*arctan(c*x^3))/x^10,x, algorithm=""giac"")","\frac{b c^{7} x^{9} \log\left(c^{2} x^{6} + 1\right) - 2 \, b c^{7} x^{9} \log\left(c x^{3}\right) - b c^{5} x^{3} - 2 \, b c^{4} \arctan\left(c x^{3}\right) - 2 \, a c^{4}}{18 \, c^{4} x^{9}}"," ",0,"1/18*(b*c^7*x^9*log(c^2*x^6 + 1) - 2*b*c^7*x^9*log(c*x^3) - b*c^5*x^3 - 2*b*c^4*arctan(c*x^3) - 2*a*c^4)/(c^4*x^9)","A",0
104,1,167,0,3.784774," ","integrate(x^3*(a+b*arctan(c*x^3)),x, algorithm=""giac"")","\frac{1}{16} \, b c^{7} {\left(\frac{\sqrt{3} \log\left(x^{2} + \frac{\sqrt{3} x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{c^{8} {\left| c \right|}^{\frac{1}{3}}} - \frac{\sqrt{3} \log\left(x^{2} - \frac{\sqrt{3} x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{c^{8} {\left| c \right|}^{\frac{1}{3}}} + \frac{2 \, \arctan\left({\left(2 \, x + \frac{\sqrt{3}}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{c^{8} {\left| c \right|}^{\frac{1}{3}}} + \frac{2 \, \arctan\left({\left(2 \, x - \frac{\sqrt{3}}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{c^{8} {\left| c \right|}^{\frac{1}{3}}} + \frac{4 \, \arctan\left(x {\left| c \right|}^{\frac{1}{3}}\right)}{c^{8} {\left| c \right|}^{\frac{1}{3}}}\right)} + \frac{b c x^{4} \arctan\left(c x^{3}\right) + a c x^{4} - 3 \, b x}{4 \, c}"," ",0,"1/16*b*c^7*(sqrt(3)*log(x^2 + sqrt(3)*x/abs(c)^(1/3) + 1/abs(c)^(2/3))/(c^8*abs(c)^(1/3)) - sqrt(3)*log(x^2 - sqrt(3)*x/abs(c)^(1/3) + 1/abs(c)^(2/3))/(c^8*abs(c)^(1/3)) + 2*arctan((2*x + sqrt(3)/abs(c)^(1/3))*abs(c)^(1/3))/(c^8*abs(c)^(1/3)) + 2*arctan((2*x - sqrt(3)/abs(c)^(1/3))*abs(c)^(1/3))/(c^8*abs(c)^(1/3)) + 4*arctan(x*abs(c)^(1/3))/(c^8*abs(c)^(1/3))) + 1/4*(b*c*x^4*arctan(c*x^3) + a*c*x^4 - 3*b*x)/c","A",0
105,1,95,0,0.159891," ","integrate(a+b*arctan(c*x^3),x, algorithm=""giac"")","-\frac{1}{4} \, {\left(c {\left(\frac{2 \, \sqrt{3} {\left| c \right|}^{\frac{2}{3}} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} - \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)} {\left| c \right|}^{\frac{2}{3}}\right)}{c^{2}} + \frac{{\left| c \right|}^{\frac{2}{3}} \log\left(x^{4} - \frac{x^{2}}{{\left| c \right|}^{\frac{2}{3}}} + \frac{1}{{\left| c \right|}^{\frac{4}{3}}}\right)}{c^{2}} - \frac{2 \, \log\left(x^{2} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{{\left| c \right|}^{\frac{4}{3}}}\right)} - 4 \, x \arctan\left(c x^{3}\right)\right)} b + a x"," ",0,"-1/4*(c*(2*sqrt(3)*abs(c)^(2/3)*arctan(1/3*sqrt(3)*(2*x^2 - 1/abs(c)^(2/3))*abs(c)^(2/3))/c^2 + abs(c)^(2/3)*log(x^4 - x^2/abs(c)^(2/3) + 1/abs(c)^(4/3))/c^2 - 2*log(x^2 + 1/abs(c)^(2/3))/abs(c)^(4/3)) - 4*x*arctan(c*x^3))*b + a*x","A",0
106,1,137,0,0.179176," ","integrate((a+b*arctan(c*x^3))/x^3,x, algorithm=""giac"")","\frac{1}{8} \, {\left(\frac{\sqrt{3} \log\left(x^{2} + \frac{\sqrt{3} x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{{\left| c \right|}^{\frac{1}{3}}} - \frac{\sqrt{3} \log\left(x^{2} - \frac{\sqrt{3} x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{{\left| c \right|}^{\frac{1}{3}}} + \frac{2 \, \arctan\left({\left(2 \, x + \frac{\sqrt{3}}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{{\left| c \right|}^{\frac{1}{3}}} + \frac{2 \, \arctan\left({\left(2 \, x - \frac{\sqrt{3}}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{{\left| c \right|}^{\frac{1}{3}}} + \frac{4 \, \arctan\left(x {\left| c \right|}^{\frac{1}{3}}\right)}{{\left| c \right|}^{\frac{1}{3}}}\right)} b c - \frac{b \arctan\left(c x^{3}\right) + a}{2 \, x^{2}}"," ",0,"1/8*(sqrt(3)*log(x^2 + sqrt(3)*x/abs(c)^(1/3) + 1/abs(c)^(2/3))/abs(c)^(1/3) - sqrt(3)*log(x^2 - sqrt(3)*x/abs(c)^(1/3) + 1/abs(c)^(2/3))/abs(c)^(1/3) + 2*arctan((2*x + sqrt(3)/abs(c)^(1/3))*abs(c)^(1/3))/abs(c)^(1/3) + 2*arctan((2*x - sqrt(3)/abs(c)^(1/3))*abs(c)^(1/3))/abs(c)^(1/3) + 4*arctan(x*abs(c)^(1/3))/abs(c)^(1/3))*b*c - 1/2*(b*arctan(c*x^3) + a)/x^2","A",0
107,1,108,0,4.327391," ","integrate((a+b*arctan(c*x^3))/x^6,x, algorithm=""giac"")","-\frac{1}{20} \, b c^{3} {\left(\frac{2 \, \sqrt{3} {\left| c \right|}^{\frac{2}{3}} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} - \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)} {\left| c \right|}^{\frac{2}{3}}\right)}{c^{2}} + \frac{{\left| c \right|}^{\frac{2}{3}} \log\left(x^{4} - \frac{x^{2}}{{\left| c \right|}^{\frac{2}{3}}} + \frac{1}{{\left| c \right|}^{\frac{4}{3}}}\right)}{c^{2}} - \frac{2 \, \log\left(x^{2} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{{\left| c \right|}^{\frac{4}{3}}}\right)} - \frac{3 \, b c x^{3} + 2 \, b \arctan\left(c x^{3}\right) + 2 \, a}{10 \, x^{5}}"," ",0,"-1/20*b*c^3*(2*sqrt(3)*abs(c)^(2/3)*arctan(1/3*sqrt(3)*(2*x^2 - 1/abs(c)^(2/3))*abs(c)^(2/3))/c^2 + abs(c)^(2/3)*log(x^4 - x^2/abs(c)^(2/3) + 1/abs(c)^(4/3))/c^2 - 2*log(x^2 + 1/abs(c)^(2/3))/abs(c)^(4/3)) - 1/10*(3*b*c*x^3 + 2*b*arctan(c*x^3) + 2*a)/x^5","A",0
108,1,171,0,2.989340," ","integrate(x^7*(a+b*arctan(c*x^3)),x, algorithm=""giac"")","-\frac{1}{32} \, b c^{15} {\left(\frac{\sqrt{3} \log\left(x^{2} + \frac{\sqrt{3} x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{c^{16} {\left| c \right|}^{\frac{5}{3}}} - \frac{\sqrt{3} \log\left(x^{2} - \frac{\sqrt{3} x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{c^{16} {\left| c \right|}^{\frac{5}{3}}} - \frac{2 \, {\left| c \right|}^{\frac{1}{3}} \arctan\left({\left(2 \, x + \frac{\sqrt{3}}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{c^{18}} - \frac{2 \, {\left| c \right|}^{\frac{1}{3}} \arctan\left({\left(2 \, x - \frac{\sqrt{3}}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{c^{18}} - \frac{4 \, {\left| c \right|}^{\frac{1}{3}} \arctan\left(x {\left| c \right|}^{\frac{1}{3}}\right)}{c^{18}}\right)} + \frac{5 \, b c x^{8} \arctan\left(c x^{3}\right) + 5 \, a c x^{8} - 3 \, b x^{5}}{40 \, c}"," ",0,"-1/32*b*c^15*(sqrt(3)*log(x^2 + sqrt(3)*x/abs(c)^(1/3) + 1/abs(c)^(2/3))/(c^16*abs(c)^(5/3)) - sqrt(3)*log(x^2 - sqrt(3)*x/abs(c)^(1/3) + 1/abs(c)^(2/3))/(c^16*abs(c)^(5/3)) - 2*abs(c)^(1/3)*arctan((2*x + sqrt(3)/abs(c)^(1/3))*abs(c)^(1/3))/c^18 - 2*abs(c)^(1/3)*arctan((2*x - sqrt(3)/abs(c)^(1/3))*abs(c)^(1/3))/c^18 - 4*abs(c)^(1/3)*arctan(x*abs(c)^(1/3))/c^18) + 1/40*(5*b*c*x^8*arctan(c*x^3) + 5*a*c*x^8 - 3*b*x^5)/c","A",0
109,1,119,0,3.953422," ","integrate(x^4*(a+b*arctan(c*x^3)),x, algorithm=""giac"")","\frac{1}{20} \, b c^{9} {\left(\frac{2 \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} - \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)} {\left| c \right|}^{\frac{2}{3}}\right)}{c^{10} {\left| c \right|}^{\frac{2}{3}}} - \frac{\log\left(x^{4} - \frac{x^{2}}{{\left| c \right|}^{\frac{2}{3}}} + \frac{1}{{\left| c \right|}^{\frac{4}{3}}}\right)}{c^{10} {\left| c \right|}^{\frac{2}{3}}} + \frac{2 \, \log\left(x^{2} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{c^{10} {\left| c \right|}^{\frac{2}{3}}}\right)} + \frac{2 \, b c x^{5} \arctan\left(c x^{3}\right) + 2 \, a c x^{5} - 3 \, b x^{2}}{10 \, c}"," ",0,"1/20*b*c^9*(2*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - 1/abs(c)^(2/3))*abs(c)^(2/3))/(c^10*abs(c)^(2/3)) - log(x^4 - x^2/abs(c)^(2/3) + 1/abs(c)^(4/3))/(c^10*abs(c)^(2/3)) + 2*log(x^2 + 1/abs(c)^(2/3))/(c^10*abs(c)^(2/3))) + 1/10*(2*b*c*x^5*arctan(c*x^3) + 2*a*c*x^5 - 3*b*x^2)/c","A",0
110,1,157,0,2.109699," ","integrate(x*(a+b*arctan(c*x^3)),x, algorithm=""giac"")","\frac{1}{8} \, b c^{5} {\left(\frac{\sqrt{3} \log\left(x^{2} + \frac{\sqrt{3} x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{c^{4} {\left| c \right|}^{\frac{5}{3}}} - \frac{\sqrt{3} {\left| c \right|}^{\frac{1}{3}} \log\left(x^{2} - \frac{\sqrt{3} x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{c^{6}} - \frac{2 \, {\left| c \right|}^{\frac{1}{3}} \arctan\left({\left(2 \, x + \frac{\sqrt{3}}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{c^{6}} - \frac{2 \, {\left| c \right|}^{\frac{1}{3}} \arctan\left({\left(2 \, x - \frac{\sqrt{3}}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{c^{6}} - \frac{4 \, {\left| c \right|}^{\frac{1}{3}} \arctan\left(x {\left| c \right|}^{\frac{1}{3}}\right)}{c^{6}}\right)} + \frac{1}{2} \, b x^{2} \arctan\left(c x^{3}\right) + \frac{1}{2} \, a x^{2}"," ",0,"1/8*b*c^5*(sqrt(3)*log(x^2 + sqrt(3)*x/abs(c)^(1/3) + 1/abs(c)^(2/3))/(c^4*abs(c)^(5/3)) - sqrt(3)*abs(c)^(1/3)*log(x^2 - sqrt(3)*x/abs(c)^(1/3) + 1/abs(c)^(2/3))/c^6 - 2*abs(c)^(1/3)*arctan((2*x + sqrt(3)/abs(c)^(1/3))*abs(c)^(1/3))/c^6 - 2*abs(c)^(1/3)*arctan((2*x - sqrt(3)/abs(c)^(1/3))*abs(c)^(1/3))/c^6 - 4*abs(c)^(1/3)*arctan(x*abs(c)^(1/3))/c^6) + 1/2*b*x^2*arctan(c*x^3) + 1/2*a*x^2","A",0
111,1,91,0,3.821990," ","integrate((a+b*arctan(c*x^3))/x^2,x, algorithm=""giac"")","\frac{1}{4} \, b c {\left(\frac{2 \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} - \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)} {\left| c \right|}^{\frac{2}{3}}\right)}{{\left| c \right|}^{\frac{2}{3}}} - \frac{\log\left(x^{4} - \frac{x^{2}}{{\left| c \right|}^{\frac{2}{3}}} + \frac{1}{{\left| c \right|}^{\frac{4}{3}}}\right)}{{\left| c \right|}^{\frac{2}{3}}} + \frac{2 \, \log\left(x^{2} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{{\left| c \right|}^{\frac{2}{3}}}\right)} - \frac{b \arctan\left(c x^{3}\right) + a}{x}"," ",0,"1/4*b*c*(2*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - 1/abs(c)^(2/3))*abs(c)^(2/3))/abs(c)^(2/3) - log(x^4 - x^2/abs(c)^(2/3) + 1/abs(c)^(4/3))/abs(c)^(2/3) + 2*log(x^2 + 1/abs(c)^(2/3))/abs(c)^(2/3)) - (b*arctan(c*x^3) + a)/x","A",0
112,1,161,0,2.984907," ","integrate((a+b*arctan(c*x^3))/x^5,x, algorithm=""giac"")","\frac{1}{16} \, b c^{3} {\left(\frac{\sqrt{3} {\left| c \right|}^{\frac{1}{3}} \log\left(x^{2} + \frac{\sqrt{3} x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{c^{2}} - \frac{\sqrt{3} {\left| c \right|}^{\frac{1}{3}} \log\left(x^{2} - \frac{\sqrt{3} x}{{\left| c \right|}^{\frac{1}{3}}} + \frac{1}{{\left| c \right|}^{\frac{2}{3}}}\right)}{c^{2}} - \frac{2 \, {\left| c \right|}^{\frac{1}{3}} \arctan\left({\left(2 \, x + \frac{\sqrt{3}}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{c^{2}} - \frac{2 \, {\left| c \right|}^{\frac{1}{3}} \arctan\left({\left(2 \, x - \frac{\sqrt{3}}{{\left| c \right|}^{\frac{1}{3}}}\right)} {\left| c \right|}^{\frac{1}{3}}\right)}{c^{2}} - \frac{4 \, {\left| c \right|}^{\frac{1}{3}} \arctan\left(x {\left| c \right|}^{\frac{1}{3}}\right)}{c^{2}}\right)} - \frac{3 \, b c x^{3} + b \arctan\left(c x^{3}\right) + a}{4 \, x^{4}}"," ",0,"1/16*b*c^3*(sqrt(3)*abs(c)^(1/3)*log(x^2 + sqrt(3)*x/abs(c)^(1/3) + 1/abs(c)^(2/3))/c^2 - sqrt(3)*abs(c)^(1/3)*log(x^2 - sqrt(3)*x/abs(c)^(1/3) + 1/abs(c)^(2/3))/c^2 - 2*abs(c)^(1/3)*arctan((2*x + sqrt(3)/abs(c)^(1/3))*abs(c)^(1/3))/c^2 - 2*abs(c)^(1/3)*arctan((2*x - sqrt(3)/abs(c)^(1/3))*abs(c)^(1/3))/c^2 - 4*abs(c)^(1/3)*arctan(x*abs(c)^(1/3))/c^2) - 1/4*(3*b*c*x^3 + b*arctan(c*x^3) + a)/x^4","A",0
113,1,145,0,0.188752," ","integrate(x^11*(a+b*arctan(c*x^3))^2,x, algorithm=""giac"")","\frac{3 \, a^{2} c x^{12} + 2 \, {\left(3 \, c x^{12} \arctan\left(c x^{3}\right) - \frac{3 \, \arctan\left(c x^{3}\right)}{c^{3}} - \frac{c^{9} x^{9} - 3 \, c^{7} x^{3}}{c^{9}}\right)} a b + {\left(3 \, c x^{12} \arctan\left(c x^{3}\right)^{2} - \frac{2 \, c^{3} x^{9} \arctan\left(c x^{3}\right) - c^{2} x^{6} - 6 \, c x^{3} \arctan\left(c x^{3}\right) + 3 \, \arctan\left(c x^{3}\right)^{2} + 4 \, \log\left(c^{2} x^{6} + 1\right)}{c^{3}}\right)} b^{2}}{36 \, c}"," ",0,"1/36*(3*a^2*c*x^12 + 2*(3*c*x^12*arctan(c*x^3) - 3*arctan(c*x^3)/c^3 - (c^9*x^9 - 3*c^7*x^3)/c^9)*a*b + (3*c*x^12*arctan(c*x^3)^2 - (2*c^3*x^9*arctan(c*x^3) - c^2*x^6 - 6*c*x^3*arctan(c*x^3) + 3*arctan(c*x^3)^2 + 4*log(c^2*x^6 + 1))/c^3)*b^2)/c","A",0
114,0,0,0,0.000000," ","integrate(x^8*(a+b*arctan(c*x^3))^2,x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{3}\right) + a\right)}^{2} x^{8}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)^2*x^8, x)","F",0
115,1,100,0,1.601476," ","integrate(x^5*(a+b*arctan(c*x^3))^2,x, algorithm=""giac"")","\frac{a^{2} c x^{6} + \frac{2 \, {\left(c^{2} x^{6} \arctan\left(c x^{3}\right) - c x^{3} + \arctan\left(c x^{3}\right)\right)} a b}{c} + \frac{{\left(c^{2} x^{6} \arctan\left(c x^{3}\right)^{2} - 2 \, c x^{3} \arctan\left(c x^{3}\right) + \arctan\left(c x^{3}\right)^{2} + \log\left(c^{2} x^{6} + 1\right)\right)} b^{2}}{c}}{6 \, c}"," ",0,"1/6*(a^2*c*x^6 + 2*(c^2*x^6*arctan(c*x^3) - c*x^3 + arctan(c*x^3))*a*b/c + (c^2*x^6*arctan(c*x^3)^2 - 2*c*x^3*arctan(c*x^3) + arctan(c*x^3)^2 + log(c^2*x^6 + 1))*b^2/c)/c","A",0
116,0,0,0,0.000000," ","integrate(x^2*(a+b*arctan(c*x^3))^2,x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{3}\right) + a\right)}^{2} x^{2}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)^2*x^2, x)","F",0
117,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^3))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{3}\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)^2/x, x)","F",0
118,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^3))^2/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{3}\right) + a\right)}^{2}}{x^{4}}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)^2/x^4, x)","F",0
119,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^3))^2/x^7,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{3}\right) + a\right)}^{2}}{x^{7}}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)^2/x^7, x)","F",0
120,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^3))^2/x^10,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{3}\right) + a\right)}^{2}}{x^{10}}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)^2/x^10, x)","F",0
121,0,0,0,0.000000," ","integrate(x^8*(a+b*arctan(c*x^3))^3,x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{3}\right) + a\right)}^{3} x^{8}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)^3*x^8, x)","F",0
122,0,0,0,0.000000," ","integrate(x^5*(a+b*arctan(c*x^3))^3,x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{3}\right) + a\right)}^{3} x^{5}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)^3*x^5, x)","F",0
123,0,0,0,0.000000," ","integrate(x^2*(a+b*arctan(c*x^3))^3,x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{3}\right) + a\right)}^{3} x^{2}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)^3*x^2, x)","F",0
124,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^3))^3/x,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{3}\right) + a\right)}^{3}}{x}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)^3/x, x)","F",0
125,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^3))^3/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{3}\right) + a\right)}^{3}}{x^{4}}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)^3/x^4, x)","F",0
126,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^3))^3/x^7,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{3}\right) + a\right)}^{3}}{x^{7}}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)^3/x^7, x)","F",0
127,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*arctan(c*x^3))^3,x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{3}\right) + a\right)}^{3} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)^3*(d*x)^m, x)","F",0
128,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*arctan(c*x^3))^2,x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{3}\right) + a\right)}^{2} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)^2*(d*x)^m, x)","F",0
129,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*arctan(c*x^3)),x, algorithm=""giac"")","\int {\left(b \arctan\left(c x^{3}\right) + a\right)} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((b*arctan(c*x^3) + a)*(d*x)^m, x)","F",0
130,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*arctan(c*x^3)),x, algorithm=""giac"")","\int \frac{\left(d x\right)^{m}}{b \arctan\left(c x^{3}\right) + a}\,{d x}"," ",0,"integrate((d*x)^m/(b*arctan(c*x^3) + a), x)","F",0
131,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*arctan(c*x^3))^2,x, algorithm=""giac"")","\int \frac{\left(d x\right)^{m}}{{\left(b \arctan\left(c x^{3}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x)^m/(b*arctan(c*x^3) + a)^2, x)","F",0
132,1,84,0,4.012194," ","integrate(x^3*(a+b*arctan(c/x)),x, algorithm=""giac"")","-\frac{{\left(\frac{3 \, b c^{9} i \log\left(\frac{c i}{x} - 1\right)}{x^{4}} - \frac{3 \, b c^{9} i \log\left(-\frac{c i}{x} - 1\right)}{x^{4}} - 6 \, b c^{5} \arctan\left(\frac{c}{x}\right) - 6 \, a c^{5} + \frac{6 \, b c^{8}}{x^{3}} - \frac{2 \, b c^{6}}{x}\right)} x^{4}}{24 \, c^{5}}"," ",0,"-1/24*(3*b*c^9*i*log(c*i/x - 1)/x^4 - 3*b*c^9*i*log(-c*i/x - 1)/x^4 - 6*b*c^5*arctan(c/x) - 6*a*c^5 + 6*b*c^8/x^3 - 2*b*c^6/x)*x^4/c^5","A",0
133,1,69,0,1.998027," ","integrate(x^2*(a+b*arctan(c/x)),x, algorithm=""giac"")","\frac{{\left(2 \, b c^{4} \arctan\left(\frac{c}{x}\right) - \frac{b c^{7} \log\left(\frac{c^{2}}{x^{2}} + 1\right)}{x^{3}} + \frac{2 \, b c^{7} \log\left(\frac{c}{x}\right)}{x^{3}} + 2 \, a c^{4} + \frac{b c^{5}}{x}\right)} x^{3}}{6 \, c^{4}}"," ",0,"1/6*(2*b*c^4*arctan(c/x) - b*c^7*log(c^2/x^2 + 1)/x^3 + 2*b*c^7*log(c/x)/x^3 + 2*a*c^4 + b*c^5/x)*x^3/c^4","A",0
134,1,74,0,0.181656," ","integrate(x*(a+b*arctan(c/x)),x, algorithm=""giac"")","-\frac{{\left(\frac{b c^{5} i \log\left(\frac{c i}{x} + 1\right)}{x^{2}} - \frac{b c^{5} i \log\left(-\frac{c i}{x} + 1\right)}{x^{2}} - 2 \, b c^{3} \arctan\left(\frac{c}{x}\right) - 2 \, a c^{3} - \frac{2 \, b c^{4}}{x}\right)} x^{2}}{4 \, c^{3}}"," ",0,"-1/4*(b*c^5*i*log(c*i/x + 1)/x^2 - b*c^5*i*log(-c*i/x + 1)/x^2 - 2*b*c^3*arctan(c/x) - 2*a*c^3 - 2*b*c^4/x)*x^2/c^3","B",0
135,1,46,0,1.758818," ","integrate(a+b*arctan(c/x),x, algorithm=""giac"")","a x + \frac{{\left(c^{2} {\left(\log\left(\frac{c^{2}}{x^{2}} + 1\right) - \log\left(\frac{c^{2}}{x^{2}}\right)\right)} + 2 \, c x \arctan\left(\frac{c}{x}\right)\right)} b}{2 \, c}"," ",0,"a*x + 1/2*(c^2*(log(c^2/x^2 + 1) - log(c^2/x^2)) + 2*c*x*arctan(c/x))*b/c","A",0
136,1,74,0,3.959947," ","integrate((a+b*arctan(c/x))/x,x, algorithm=""giac"")","\frac{{\left(\frac{b c^{6} i \log\left(\frac{c i}{x} + 1\right)}{x^{2}} - \frac{b c^{6} i \log\left(-\frac{c i}{x} + 1\right)}{x^{2}} - 2 \, b c^{4} \arctan\left(\frac{c}{x}\right) - 2 \, a c^{4} - \frac{2 \, b c^{5}}{x}\right)} x^{2}}{4 \, c^{5}}"," ",0,"1/4*(b*c^6*i*log(c*i/x + 1)/x^2 - b*c^6*i*log(-c*i/x + 1)/x^2 - 2*b*c^4*arctan(c/x) - 2*a*c^4 - 2*b*c^5/x)*x^2/c^5","B",0
137,1,39,0,0.166524," ","integrate((a+b*arctan(c/x))/x^2,x, algorithm=""giac"")","-\frac{\frac{2 \, b c \arctan\left(\frac{c}{x}\right)}{x} - b \log\left(\frac{c^{2}}{x^{2}} + 1\right) + \frac{2 \, a c}{x}}{2 \, c}"," ",0,"-1/2*(2*b*c*arctan(c/x)/x - b*log(c^2/x^2 + 1) + 2*a*c/x)/c","A",0
138,1,67,0,1.795543," ","integrate((a+b*arctan(c/x))/x^3,x, algorithm=""giac"")","-\frac{\frac{2 \, b c^{2} i \arctan\left(\frac{c}{x}\right)}{x^{2}} + \frac{2 \, a c^{2} i}{x^{2}} - \frac{2 \, b c i}{x} - b \log\left(\frac{c i}{x} - 1\right) + b \log\left(-\frac{c i}{x} - 1\right)}{4 \, c^{2} i}"," ",0,"-1/4*(2*b*c^2*i*arctan(c/x)/x^2 + 2*a*c^2*i/x^2 - 2*b*c*i/x - b*log(c*i/x - 1) + b*log(-c*i/x - 1))/(c^2*i)","A",0
139,1,51,0,0.204408," ","integrate((a+b*arctan(c/x))/x^4,x, algorithm=""giac"")","-\frac{\frac{2 \, b c^{3} \arctan\left(\frac{c}{x}\right)}{x^{3}} + b \log\left(\frac{c^{2}}{x^{2}} + 1\right) + \frac{2 \, a c^{3}}{x^{3}} - \frac{b c^{2}}{x^{2}}}{6 \, c^{3}}"," ",0,"-1/6*(2*b*c^3*arctan(c/x)/x^3 + b*log(c^2/x^2 + 1) + 2*a*c^3/x^3 - b*c^2/x^2)/c^3","A",0
140,0,0,0,0.000000," ","integrate(x^3*(a+b*arctan(c/x))^2,x, algorithm=""giac"")","\int {\left(b \arctan\left(\frac{c}{x}\right) + a\right)}^{2} x^{3}\,{d x}"," ",0,"integrate((b*arctan(c/x) + a)^2*x^3, x)","F",0
141,0,0,0,0.000000," ","integrate(x^2*(a+b*arctan(c/x))^2,x, algorithm=""giac"")","\int {\left(b \arctan\left(\frac{c}{x}\right) + a\right)}^{2} x^{2}\,{d x}"," ",0,"integrate((b*arctan(c/x) + a)^2*x^2, x)","F",0
142,0,0,0,0.000000," ","integrate(x*(a+b*arctan(c/x))^2,x, algorithm=""giac"")","\int {\left(b \arctan\left(\frac{c}{x}\right) + a\right)}^{2} x\,{d x}"," ",0,"integrate((b*arctan(c/x) + a)^2*x, x)","F",0
143,0,0,0,0.000000," ","integrate((a+b*arctan(c/x))^2,x, algorithm=""giac"")","\int {\left(b \arctan\left(\frac{c}{x}\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((b*arctan(c/x) + a)^2, x)","F",0
144,0,0,0,0.000000," ","integrate((a+b*arctan(c/x))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(\frac{c}{x}\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*arctan(c/x) + a)^2/x, x)","F",0
145,0,0,0,0.000000," ","integrate((a+b*arctan(c/x))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(\frac{c}{x}\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((b*arctan(c/x) + a)^2/x^2, x)","F",0
146,1,140,0,0.231661," ","integrate((a+b*arctan(c/x))^2/x^3,x, algorithm=""giac"")","-\frac{b^{2} \arctan\left(\frac{c}{x}\right)^{2} + \frac{b^{2} c^{2} \arctan\left(\frac{c}{x}\right)^{2}}{x^{2}} + a b i \log\left(\frac{c i}{x} - 1\right) - a b i \log\left(-\frac{c i}{x} - 1\right) + \frac{2 \, a b c^{2} \arctan\left(\frac{c}{x}\right)}{x^{2}} - \frac{2 \, b^{2} c \arctan\left(\frac{c}{x}\right)}{x} + b^{2} \log\left(\frac{c i}{x} - 1\right) + b^{2} \log\left(-\frac{c i}{x} - 1\right) + \frac{a^{2} c^{2}}{x^{2}} - \frac{2 \, a b c}{x}}{2 \, c^{2}}"," ",0,"-1/2*(b^2*arctan(c/x)^2 + b^2*c^2*arctan(c/x)^2/x^2 + a*b*i*log(c*i/x - 1) - a*b*i*log(-c*i/x - 1) + 2*a*b*c^2*arctan(c/x)/x^2 - 2*b^2*c*arctan(c/x)/x + b^2*log(c*i/x - 1) + b^2*log(-c*i/x - 1) + a^2*c^2/x^2 - 2*a*b*c/x)/c^2","A",0
147,0,0,0,0.000000," ","integrate(x^3*(a+b*arctan(c/x))^3,x, algorithm=""giac"")","\int {\left(b \arctan\left(\frac{c}{x}\right) + a\right)}^{3} x^{3}\,{d x}"," ",0,"integrate((b*arctan(c/x) + a)^3*x^3, x)","F",0
148,0,0,0,0.000000," ","integrate(x^2*(a+b*arctan(c/x))^3,x, algorithm=""giac"")","\int {\left(b \arctan\left(\frac{c}{x}\right) + a\right)}^{3} x^{2}\,{d x}"," ",0,"integrate((b*arctan(c/x) + a)^3*x^2, x)","F",0
149,0,0,0,0.000000," ","integrate(x*(a+b*arctan(c/x))^3,x, algorithm=""giac"")","\int {\left(b \arctan\left(\frac{c}{x}\right) + a\right)}^{3} x\,{d x}"," ",0,"integrate((b*arctan(c/x) + a)^3*x, x)","F",0
150,0,0,0,0.000000," ","integrate((a+b*arctan(c/x))^3,x, algorithm=""giac"")","\int {\left(b \arctan\left(\frac{c}{x}\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((b*arctan(c/x) + a)^3, x)","F",0
151,0,0,0,0.000000," ","integrate((a+b*arctan(c/x))^3/x,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(\frac{c}{x}\right) + a\right)}^{3}}{x}\,{d x}"," ",0,"integrate((b*arctan(c/x) + a)^3/x, x)","F",0
152,0,0,0,0.000000," ","integrate((a+b*arctan(c/x))^3/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(\frac{c}{x}\right) + a\right)}^{3}}{x^{2}}\,{d x}"," ",0,"integrate((b*arctan(c/x) + a)^3/x^2, x)","F",0
153,0,0,0,0.000000," ","integrate((a+b*arctan(c/x))^3/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(\frac{c}{x}\right) + a\right)}^{3}}{x^{3}}\,{d x}"," ",0,"integrate((b*arctan(c/x) + a)^3/x^3, x)","F",0
154,1,31,0,0.138314," ","integrate(x^2*arctan(x^(1/2)),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \arctan\left(\sqrt{x}\right) - \frac{1}{15} \, x^{\frac{5}{2}} + \frac{1}{9} \, x^{\frac{3}{2}} - \frac{1}{3} \, \sqrt{x} + \frac{1}{3} \, \arctan\left(\sqrt{x}\right)"," ",0,"1/3*x^3*arctan(sqrt(x)) - 1/15*x^(5/2) + 1/9*x^(3/2) - 1/3*sqrt(x) + 1/3*arctan(sqrt(x))","A",0
155,1,26,0,0.160524," ","integrate(x*arctan(x^(1/2)),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \arctan\left(\sqrt{x}\right) - \frac{1}{6} \, x^{\frac{3}{2}} + \frac{1}{2} \, \sqrt{x} - \frac{1}{2} \, \arctan\left(\sqrt{x}\right)"," ",0,"1/2*x^2*arctan(sqrt(x)) - 1/6*x^(3/2) + 1/2*sqrt(x) - 1/2*arctan(sqrt(x))","A",0
156,1,16,0,0.350491," ","integrate(arctan(x^(1/2)),x, algorithm=""giac"")","x \arctan\left(\sqrt{x}\right) - \sqrt{x} + \arctan\left(\sqrt{x}\right)"," ",0,"x*arctan(sqrt(x)) - sqrt(x) + arctan(sqrt(x))","A",0
157,0,0,0,0.000000," ","integrate(arctan(x^(1/2))/x,x, algorithm=""giac"")","\int \frac{\arctan\left(\sqrt{x}\right)}{x}\,{d x}"," ",0,"integrate(arctan(sqrt(x))/x, x)","F",0
158,1,21,0,0.303331," ","integrate(arctan(x^(1/2))/x^2,x, algorithm=""giac"")","-\frac{\arctan\left(\sqrt{x}\right)}{x} - \frac{1}{\sqrt{x}} - \arctan\left(\sqrt{x}\right)"," ",0,"-arctan(sqrt(x))/x - 1/sqrt(x) - arctan(sqrt(x))","A",0
159,1,26,0,0.164923," ","integrate(arctan(x^(1/2))/x^3,x, algorithm=""giac"")","\frac{3 \, x - 1}{6 \, x^{\frac{3}{2}}} - \frac{\arctan\left(\sqrt{x}\right)}{2 \, x^{2}} + \frac{1}{2} \, \arctan\left(\sqrt{x}\right)"," ",0,"1/6*(3*x - 1)/x^(3/2) - 1/2*arctan(sqrt(x))/x^2 + 1/2*arctan(sqrt(x))","A",0
160,1,24,0,0.174964," ","integrate(x^(3/2)*arctan(x^(1/2)),x, algorithm=""giac"")","\frac{2}{5} \, x^{\frac{5}{2}} \arctan\left(\sqrt{x}\right) - \frac{1}{10} \, x^{2} + \frac{1}{5} \, x - \frac{1}{5} \, \log\left(x + 1\right)"," ",0,"2/5*x^(5/2)*arctan(sqrt(x)) - 1/10*x^2 + 1/5*x - 1/5*log(x + 1)","A",0
161,1,19,0,0.176862," ","integrate(x^(1/2)*arctan(x^(1/2)),x, algorithm=""giac"")","\frac{2}{3} \, x^{\frac{3}{2}} \arctan\left(\sqrt{x}\right) - \frac{1}{3} \, x + \frac{1}{3} \, \log\left(x + 1\right)"," ",0,"2/3*x^(3/2)*arctan(sqrt(x)) - 1/3*x + 1/3*log(x + 1)","A",0
162,1,16,0,0.179012," ","integrate(arctan(x^(1/2))/x^(1/2),x, algorithm=""giac"")","2 \, \sqrt{x} \arctan\left(\sqrt{x}\right) - \log\left(x + 1\right)"," ",0,"2*sqrt(x)*arctan(sqrt(x)) - log(x + 1)","A",0
163,1,18,0,0.173740," ","integrate(arctan(x^(1/2))/x^(3/2),x, algorithm=""giac"")","-\frac{2 \, \arctan\left(\sqrt{x}\right)}{\sqrt{x}} - \log\left(x + 1\right) + \log\left(x\right)"," ",0,"-2*arctan(sqrt(x))/sqrt(x) - log(x + 1) + log(x)","A",0
164,1,28,0,0.169395," ","integrate(arctan(x^(1/2))/x^(5/2),x, algorithm=""giac"")","\frac{x - 1}{3 \, x} - \frac{2 \, \arctan\left(\sqrt{x}\right)}{3 \, x^{\frac{3}{2}}} + \frac{1}{3} \, \log\left(x + 1\right) - \frac{1}{3} \, \log\left(x\right)"," ",0,"1/3*(x - 1)/x - 2/3*arctan(sqrt(x))/x^(3/2) + 1/3*log(x + 1) - 1/3*log(x)","A",0
165,0,0,0,0.000000," ","integrate(arctan(a*x^5)/x,x, algorithm=""giac"")","\int \frac{\arctan\left(a x^{5}\right)}{x}\,{d x}"," ",0,"integrate(arctan(a*x^5)/x, x)","F",0
166,0,0,0,0.000000," ","integrate(arctan(a*x^n)/x,x, algorithm=""giac"")","\int \frac{\arctan\left(a x^{n}\right)}{x}\,{d x}"," ",0,"integrate(arctan(a*x^n)/x, x)","F",0
