1,1,37,0,0.115269," ","integrate(x^3*arctan(b*x^4+a),x, algorithm=""giac"")","\frac{2 \, {\left(b x^{4} + a\right)} \arctan\left(b x^{4} + a\right) - \log\left({\left(b x^{4} + a\right)}^{2} + 1\right)}{8 \, b}"," ",0,"1/8*(2*(b*x^4 + a)*arctan(b*x^4 + a) - log((b*x^4 + a)^2 + 1))/b","A",0
2,1,40,0,0.121833," ","integrate(x^(-1+n)*arctan(a+b*x^n),x, algorithm=""giac"")","\frac{2 \, {\left(b x^{n} + a\right)} \arctan\left(b x^{n} + a\right) - \log\left({\left(b x^{n} + a\right)}^{2} + 1\right)}{2 \, b n}"," ",0,"1/2*(2*(b*x^n + a)*arctan(b*x^n + a) - log((b*x^n + a)^2 + 1))/(b*n)","A",0
3,1,88,0,0.263874," ","integrate(x^5*arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\frac{1}{6} \, x^{6} \arctan\left(\frac{x \sqrt{-e}}{\sqrt{x^{2} e + d}}\right) - \frac{5}{96} \, d^{3} \arcsin\left(\frac{x e}{\sqrt{-d e}}\right) e^{\left(-3\right)} - \frac{1}{288} \, {\left(2 \, {\left(4 \, x^{2} e^{\left(-1\right)} - 5 \, d e^{\left(-2\right)}\right)} x^{2} + 15 \, d^{2} e^{\left(-3\right)}\right)} \sqrt{-x^{2} e^{2} - d e} x"," ",0,"1/6*x^6*arctan(x*sqrt(-e)/sqrt(x^2*e + d)) - 5/96*d^3*arcsin(x*e/sqrt(-d*e))*e^(-3) - 1/288*(2*(4*x^2*e^(-1) - 5*d*e^(-2))*x^2 + 15*d^2*e^(-3))*sqrt(-x^2*e^2 - d*e)*x","A",0
4,1,75,0,0.247260," ","integrate(x^3*arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \arctan\left(\frac{x \sqrt{-e}}{\sqrt{x^{2} e + d}}\right) + \frac{3}{32} \, d^{2} \arcsin\left(\frac{x e}{\sqrt{-d e}}\right) e^{\left(-2\right)} - \frac{1}{32} \, \sqrt{-x^{2} e^{2} - d e} {\left(2 \, x^{2} e^{\left(-1\right)} - 3 \, d e^{\left(-2\right)}\right)} x"," ",0,"1/4*x^4*arctan(x*sqrt(-e)/sqrt(x^2*e + d)) + 3/32*d^2*arcsin(x*e/sqrt(-d*e))*e^(-2) - 1/32*sqrt(-x^2*e^2 - d*e)*(2*x^2*e^(-1) - 3*d*e^(-2))*x","A",0
5,1,62,0,0.246170," ","integrate(x*arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \arctan\left(\frac{x \sqrt{-e}}{\sqrt{x^{2} e + d}}\right) - \frac{1}{4} \, d \arcsin\left(\frac{x e}{\sqrt{-d e}}\right) e^{\left(-1\right)} - \frac{1}{4} \, \sqrt{-x^{2} e^{2} - d e} x e^{\left(-1\right)}"," ",0,"1/2*x^2*arctan(x*sqrt(-e)/sqrt(x^2*e + d)) - 1/4*d*arcsin(x*e/sqrt(-d*e))*e^(-1) - 1/4*sqrt(-x^2*e^2 - d*e)*x*e^(-1)","A",0
6,0,0,0,0.000000," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2))/x,x, algorithm=""giac"")","\int \frac{\arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right)}{x}\,{d x}"," ",0,"integrate(arctan(sqrt(-e)*x/sqrt(e*x^2 + d))/x, x)","F",0
7,1,105,0,0.262477," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2))/x^3,x, algorithm=""giac"")","\frac{x e^{3}}{4 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)} d} - \frac{{\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)} e^{\left(-1\right)}}{4 \, d x} - \frac{\arctan\left(\frac{x \sqrt{-e}}{\sqrt{x^{2} e + d}}\right)}{2 \, x^{2}}"," ",0,"1/4*x*e^3/((sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)*d) - 1/4*(sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)*e^(-1)/(d*x) - 1/2*arctan(x*sqrt(-e)/sqrt(x^2*e + d))/x^2","B",0
8,1,198,0,0.257374," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2))/x^5,x, algorithm=""giac"")","-\frac{x^{3} {\left(\frac{9 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)}^{2} e^{\left(-2\right)}}{x^{2}} + e^{2}\right)} e^{6}}{96 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)}^{3} d^{2}} - \frac{\arctan\left(\frac{x \sqrt{-e}}{\sqrt{x^{2} e + d}}\right)}{4 \, x^{4}} + \frac{{\left(\frac{9 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)} d^{4} e^{6}}{x} + \frac{{\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)}^{3} d^{4} e^{2}}{x^{3}}\right)} e^{\left(-6\right)}}{96 \, d^{6}}"," ",0,"-1/96*x^3*(9*(sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)^2*e^(-2)/x^2 + e^2)*e^6/((sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)^3*d^2) - 1/4*arctan(x*sqrt(-e)/sqrt(x^2*e + d))/x^4 + 1/96*(9*(sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)*d^4*e^6/x + (sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)^3*d^4*e^2/x^3)*e^(-6)/d^6","B",0
9,1,282,0,0.277513," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2))/x^7,x, algorithm=""giac"")","\frac{x^{5} {\left(\frac{25 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)}^{2} e^{\left(-1\right)}}{x^{2}} + \frac{150 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)}^{4} e^{\left(-5\right)}}{x^{4}} + 3 \, e^{3}\right)} e^{10}}{2880 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)}^{5} d^{3}} - \frac{\arctan\left(\frac{x \sqrt{-e}}{\sqrt{x^{2} e + d}}\right)}{6 \, x^{6}} - \frac{{\left(\frac{150 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)} d^{12} e^{16}}{x} + \frac{25 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)}^{3} d^{12} e^{12}}{x^{3}} + \frac{3 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)}^{5} d^{12} e^{8}}{x^{5}}\right)} e^{\left(-15\right)}}{2880 \, d^{15}}"," ",0,"1/2880*x^5*(25*(sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)^2*e^(-1)/x^2 + 150*(sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)^4*e^(-5)/x^4 + 3*e^3)*e^10/((sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)^5*d^3) - 1/6*arctan(x*sqrt(-e)/sqrt(x^2*e + d))/x^6 - 1/2880*(150*(sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)*d^12*e^16/x + 25*(sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)^3*d^12*e^12/x^3 + 3*(sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)^5*d^12*e^8/x^5)*e^(-15)/d^15","B",0
10,1,361,0,0.263357," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2))/x^9,x, algorithm=""giac"")","-\frac{x^{7} {\left(\frac{245 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)}^{4} e^{\left(-4\right)}}{x^{4}} + \frac{1225 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)}^{6} e^{\left(-8\right)}}{x^{6}} + \frac{49 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)}^{2}}{x^{2}} + 5 \, e^{4}\right)} e^{14}}{35840 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)}^{7} d^{4}} - \frac{\arctan\left(\frac{x \sqrt{-e}}{\sqrt{x^{2} e + d}}\right)}{8 \, x^{8}} + \frac{{\left(\frac{1225 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)} d^{24} e^{30}}{x} + \frac{245 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)}^{3} d^{24} e^{26}}{x^{3}} + \frac{49 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)}^{5} d^{24} e^{22}}{x^{5}} + \frac{5 \, {\left(\sqrt{-x^{2} e^{2} - d e} e - \sqrt{-d e} e\right)}^{7} d^{24} e^{18}}{x^{7}}\right)} e^{\left(-28\right)}}{35840 \, d^{28}}"," ",0,"-1/35840*x^7*(245*(sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)^4*e^(-4)/x^4 + 1225*(sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)^6*e^(-8)/x^6 + 49*(sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)^2/x^2 + 5*e^4)*e^14/((sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)^7*d^4) - 1/8*arctan(x*sqrt(-e)/sqrt(x^2*e + d))/x^8 + 1/35840*(1225*(sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)*d^24*e^30/x + 245*(sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)^3*d^24*e^26/x^3 + 49*(sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)^5*d^24*e^22/x^5 + 5*(sqrt(-x^2*e^2 - d*e)*e - sqrt(-d*e)*e)^7*d^24*e^18/x^7)*e^(-28)/d^28","B",0
11,1,137,0,0.246492," ","integrate(x^6*arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\frac{1}{7} \, x^{7} \arctan\left(\frac{x \sqrt{-e}}{\sqrt{x^{2} e + d}}\right) + \frac{1}{7} \, \sqrt{-x^{2} e^{2} - d e} d^{3} e^{\left(-4\right)} + \frac{1}{245} \, {\left(35 \, {\left(-x^{2} e^{2} - d e\right)}^{\frac{3}{2}} d^{2} e^{2} + 21 \, {\left(x^{2} e^{2} + d e\right)}^{2} \sqrt{-x^{2} e^{2} - d e} d e - 5 \, {\left(x^{2} e^{2} + d e\right)}^{3} \sqrt{-x^{2} e^{2} - d e}\right)} e^{\left(-7\right)}"," ",0,"1/7*x^7*arctan(x*sqrt(-e)/sqrt(x^2*e + d)) + 1/7*sqrt(-x^2*e^2 - d*e)*d^3*e^(-4) + 1/245*(35*(-x^2*e^2 - d*e)^(3/2)*d^2*e^2 + 21*(x^2*e^2 + d*e)^2*sqrt(-x^2*e^2 - d*e)*d*e - 5*(x^2*e^2 + d*e)^3*sqrt(-x^2*e^2 - d*e))*e^(-7)","A",0
12,1,102,0,0.252071," ","integrate(x^4*arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\frac{1}{5} \, x^{5} \arctan\left(\frac{x \sqrt{-e}}{\sqrt{x^{2} e + d}}\right) - \frac{1}{5} \, \sqrt{-x^{2} e^{2} - d e} d^{2} e^{\left(-3\right)} - \frac{1}{75} \, {\left(10 \, {\left(-x^{2} e^{2} - d e\right)}^{\frac{3}{2}} d e + 3 \, {\left(x^{2} e^{2} + d e\right)}^{2} \sqrt{-x^{2} e^{2} - d e}\right)} e^{\left(-5\right)}"," ",0,"1/5*x^5*arctan(x*sqrt(-e)/sqrt(x^2*e + d)) - 1/5*sqrt(-x^2*e^2 - d*e)*d^2*e^(-3) - 1/75*(10*(-x^2*e^2 - d*e)^(3/2)*d*e + 3*(x^2*e^2 + d*e)^2*sqrt(-x^2*e^2 - d*e))*e^(-5)","A",0
13,1,64,0,0.227397," ","integrate(x^2*arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \arctan\left(\frac{x \sqrt{-e}}{\sqrt{x^{2} e + d}}\right) + \frac{1}{3} \, \sqrt{-x^{2} e^{2} - d e} d e^{\left(-2\right)} + \frac{1}{9} \, {\left(-x^{2} e^{2} - d e\right)}^{\frac{3}{2}} e^{\left(-3\right)}"," ",0,"1/3*x^3*arctan(x*sqrt(-e)/sqrt(x^2*e + d)) + 1/3*sqrt(-x^2*e^2 - d*e)*d*e^(-2) + 1/9*(-x^2*e^2 - d*e)^(3/2)*e^(-3)","A",0
14,1,41,0,0.182183," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","x \arctan\left(\frac{x \sqrt{-e}}{\sqrt{x^{2} e + d}}\right) - \sqrt{-x^{2} e^{2} - d e} e^{\left(-1\right)}"," ",0,"x*arctan(x*sqrt(-e)/sqrt(x^2*e + d)) - sqrt(-x^2*e^2 - d*e)*e^(-1)","A",0
15,1,54,0,0.246731," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2))/x^2,x, algorithm=""giac"")","-\frac{\arctan\left(\frac{\sqrt{-x^{2} e^{2} - d e} e^{\left(-\frac{1}{2}\right)}}{\sqrt{d}}\right) e^{\frac{1}{2}}}{\sqrt{d}} - \frac{\arctan\left(\frac{x \sqrt{-e}}{\sqrt{x^{2} e + d}}\right)}{x}"," ",0,"-arctan(sqrt(-x^2*e^2 - d*e)*e^(-1/2)/sqrt(d))*e^(1/2)/sqrt(d) - arctan(x*sqrt(-e)/sqrt(x^2*e + d))/x","A",0
16,1,83,0,0.228085," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2))/x^4,x, algorithm=""giac"")","\frac{1}{6} \, {\left(\frac{\arctan\left(\frac{\sqrt{-x^{2} e^{2} - d e} e^{\left(-\frac{1}{2}\right)}}{\sqrt{d}}\right) e^{\frac{5}{2}}}{d^{\frac{3}{2}}} - \frac{\sqrt{-x^{2} e^{2} - d e} e}{d x^{2}}\right)} e^{\left(-1\right)} - \frac{\arctan\left(\frac{x \sqrt{-e}}{\sqrt{x^{2} e + d}}\right)}{3 \, x^{3}}"," ",0,"1/6*(arctan(sqrt(-x^2*e^2 - d*e)*e^(-1/2)/sqrt(d))*e^(5/2)/d^(3/2) - sqrt(-x^2*e^2 - d*e)*e/(d*x^2))*e^(-1) - 1/3*arctan(x*sqrt(-e)/sqrt(x^2*e + d))/x^3","A",0
17,1,108,0,0.247726," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2))/x^6,x, algorithm=""giac"")","-\frac{1}{40} \, {\left(\frac{3 \, \arctan\left(\frac{\sqrt{-x^{2} e^{2} - d e} e^{\left(-\frac{1}{2}\right)}}{\sqrt{d}}\right) e^{\frac{7}{2}}}{d^{\frac{5}{2}}} + \frac{{\left(5 \, \sqrt{-x^{2} e^{2} - d e} d e^{5} + 3 \, {\left(-x^{2} e^{2} - d e\right)}^{\frac{3}{2}} e^{4}\right)} e^{\left(-4\right)}}{d^{2} x^{4}}\right)} e^{\left(-1\right)} - \frac{\arctan\left(\frac{x \sqrt{-e}}{\sqrt{x^{2} e + d}}\right)}{5 \, x^{5}}"," ",0,"-1/40*(3*arctan(sqrt(-x^2*e^2 - d*e)*e^(-1/2)/sqrt(d))*e^(7/2)/d^(5/2) + (5*sqrt(-x^2*e^2 - d*e)*d*e^5 + 3*(-x^2*e^2 - d*e)^(3/2)*e^4)*e^(-4)/(d^2*x^4))*e^(-1) - 1/5*arctan(x*sqrt(-e)/sqrt(x^2*e + d))/x^5","A",0
18,-2,0,0,0.000000," ","integrate(x^(9/2)*arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)Unable to transpose Error: Bad Argument Value","F(-2)",0
19,-2,0,0,0.000000," ","integrate(x^(5/2)*arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)Unable to transpose Error: Bad Argument Value","F(-2)",0
20,1,1,0,0.253072," ","integrate(x^(1/2)*arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
21,0,0,0,0.000000," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2))/x^(3/2),x, algorithm=""giac"")","\int \frac{\arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right)}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(arctan(sqrt(-e)*x/sqrt(e*x^2 + d))/x^(3/2), x)","F",0
22,0,0,0,0.000000," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2))/x^(7/2),x, algorithm=""giac"")","\int \frac{\arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right)}{x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(arctan(sqrt(-e)*x/sqrt(e*x^2 + d))/x^(7/2), x)","F",0
23,0,0,0,0.000000," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2))/x^(11/2),x, algorithm=""giac"")","\int \frac{\arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right)}{x^{\frac{11}{2}}}\,{d x}"," ",0,"integrate(arctan(sqrt(-e)*x/sqrt(e*x^2 + d))/x^(11/2), x)","F",0
24,0,0,0,0.000000," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2))/x^(15/2),x, algorithm=""giac"")","\int \frac{\arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right)}{x^{\frac{15}{2}}}\,{d x}"," ",0,"integrate(arctan(sqrt(-e)*x/sqrt(e*x^2 + d))/x^(15/2), x)","F",0
25,-2,0,0,0.000000," ","integrate(x^(7/2)*arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)Unable to transpose Error: Bad Argument Value","F(-2)",0
26,1,1,0,0.264105," ","integrate(x^(3/2)*arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
27,0,0,0,0.000000," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2))/x^(1/2),x, algorithm=""giac"")","\int \frac{\arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right)}{\sqrt{x}}\,{d x}"," ",0,"integrate(arctan(sqrt(-e)*x/sqrt(e*x^2 + d))/sqrt(x), x)","F",0
28,0,0,0,0.000000," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2))/x^(5/2),x, algorithm=""giac"")","\int \frac{\arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right)}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(arctan(sqrt(-e)*x/sqrt(e*x^2 + d))/x^(5/2), x)","F",0
29,0,0,0,0.000000," ","integrate(arctan(x*(-e)^(1/2)/(e*x^2+d)^(1/2))/x^(9/2),x, algorithm=""giac"")","\int \frac{\arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right)}{x^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(arctan(sqrt(-e)*x/sqrt(e*x^2 + d))/x^(9/2), x)","F",0
30,1,43,0,0.136839," ","integrate(arctan(x^2+x+1)/x^2,x, algorithm=""giac"")","-\frac{\arctan\left(x^{2} + x + 1\right)}{x} + \frac{1}{2} \, \arctan\left(x + 1\right) + \frac{1}{4} \, \log\left(x^{2} + 2 \, x + 2\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right) + \frac{1}{2} \, \log\left({\left| x \right|}\right)"," ",0,"-arctan(x^2 + x + 1)/x + 1/2*arctan(x + 1) + 1/4*log(x^2 + 2*x + 2) - 1/2*log(x^2 + 1) + 1/2*log(abs(x))","A",0
31,0,0,0,0.000000," ","integrate((a+b*arctan((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{{\left(b \arctan\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{n}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-(b*arctan(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^n/(c^2*x^2 - 1), x)","F",0
32,0,0,0,0.000000," ","integrate((a+b*arctan((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^3/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{{\left(b \arctan\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{3}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-(b*arctan(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^3/(c^2*x^2 - 1), x)","F",0
33,0,0,0,0.000000," ","integrate((a+b*arctan((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{{\left(b \arctan\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{2}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-(b*arctan(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^2/(c^2*x^2 - 1), x)","F",0
34,0,0,0,0.000000," ","integrate((a+b*arctan((-c*x+1)^(1/2)/(c*x+1)^(1/2)))/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{b \arctan\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-(b*arctan(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)/(c^2*x^2 - 1), x)","F",0
35,0,0,0,0.000000," ","integrate(1/(-c^2*x^2+1)/(a+b*arctan((-c*x+1)^(1/2)/(c*x+1)^(1/2))),x, algorithm=""giac"")","\int -\frac{1}{{\left(c^{2} x^{2} - 1\right)} {\left(b \arctan\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}}\,{d x}"," ",0,"integrate(-1/((c^2*x^2 - 1)*(b*arctan(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)), x)","F",0
36,0,0,0,0.000000," ","integrate(1/(-c^2*x^2+1)/(a+b*arctan((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2,x, algorithm=""giac"")","\int -\frac{1}{{\left(c^{2} x^{2} - 1\right)} {\left(b \arctan\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(-1/((c^2*x^2 - 1)*(b*arctan(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^2), x)","F",0
37,0,0,0,0.000000," ","integrate(x^m*arctan(tan(b*x+a)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
38,0,0,0,0.000000," ","integrate(x^2*arctan(tan(b*x+a)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
39,0,0,0,0.000000," ","integrate(x*arctan(tan(b*x+a)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
40,1,26,0,0.128260," ","integrate(arctan(tan(b*x+a)),x, algorithm=""giac"")","\frac{1}{2} \, b x^{2} - \pi x \left \lfloor \frac{b x + a}{\pi} + \frac{1}{2} \right \rfloor + a x"," ",0,"1/2*b*x^2 - pi*x*floor((b*x + a)/pi + 1/2) + a*x","A",0
41,0,0,0,0.000000," ","integrate(arctan(tan(b*x+a))/x,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
42,1,62,0,0.136638," ","integrate(x^m*(1/2*pi-arccot(cot(b*x+a))),x, algorithm=""giac"")","-\frac{2 \, b m x^{2} x^{m} - \pi m x x^{m} + 2 \, a m x x^{m} + 2 \, b x^{2} x^{m} - 2 \, \pi x x^{m} + 4 \, a x x^{m}}{2 \, {\left(m^{2} + 3 \, m + 2\right)}}"," ",0,"-1/2*(2*b*m*x^2*x^m - pi*m*x*x^m + 2*a*m*x*x^m + 2*b*x^2*x^m - 2*pi*x*x^m + 4*a*x*x^m)/(m^2 + 3*m + 2)","A",0
43,1,19,0,0.130169," ","integrate(x^2*(1/2*pi-arccot(cot(b*x+a))),x, algorithm=""giac"")","-\frac{1}{4} \, b x^{4} + \frac{1}{6} \, \pi x^{3} - \frac{1}{3} \, a x^{3}"," ",0,"-1/4*b*x^4 + 1/6*pi*x^3 - 1/3*a*x^3","A",0
44,1,19,0,0.136940," ","integrate(x*(1/2*pi-arccot(cot(b*x+a))),x, algorithm=""giac"")","-\frac{1}{3} \, b x^{3} + \frac{1}{4} \, \pi x^{2} - \frac{1}{2} \, a x^{2}"," ",0,"-1/3*b*x^3 + 1/4*pi*x^2 - 1/2*a*x^2","A",0
45,1,15,0,0.112534," ","integrate(1/2*pi-arccot(cot(b*x+a)),x, algorithm=""giac"")","-\frac{1}{2} \, b x^{2} + \frac{1}{2} \, \pi x - a x"," ",0,"-1/2*b*x^2 + 1/2*pi*x - a*x","A",0
46,1,15,0,0.112870," ","integrate((1/2*pi-arccot(cot(b*x+a)))/x,x, algorithm=""giac"")","-b x + \frac{1}{2} \, {\left(\pi - 2 \, a\right)} \log\left({\left| x \right|}\right)"," ",0,"-b*x + 1/2*(pi - 2*a)*log(abs(x))","A",0
47,1,26,0,0.113440," ","integrate(arctan(tan(b*x+a)),x, algorithm=""giac"")","\frac{1}{2} \, b x^{2} - \pi x \left \lfloor \frac{b x + a}{\pi} + \frac{1}{2} \right \rfloor + a x"," ",0,"1/2*b*x^2 - pi*x*floor((b*x + a)/pi + 1/2) + a*x","A",0
48,0,0,0,0.000000," ","integrate(x^2*arctan(c+d*tan(b*x+a)),x, algorithm=""giac"")","\int x^{2} \arctan\left(d \tan\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x^2*arctan(d*tan(b*x + a) + c), x)","F",0
49,0,0,0,0.000000," ","integrate(x*arctan(c+d*tan(b*x+a)),x, algorithm=""giac"")","\int x \arctan\left(d \tan\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x*arctan(d*tan(b*x + a) + c), x)","F",0
50,0,0,0,0.000000," ","integrate(arctan(c+d*tan(b*x+a)),x, algorithm=""giac"")","\int \arctan\left(d \tan\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(arctan(d*tan(b*x + a) + c), x)","F",0
51,0,0,0,0.000000," ","integrate(arctan(c+d*tan(b*x+a))/x,x, algorithm=""giac"")","\int \frac{\arctan\left(d \tan\left(b x + a\right) + c\right)}{x}\,{d x}"," ",0,"integrate(arctan(d*tan(b*x + a) + c)/x, x)","F",0
52,0,0,0,0.000000," ","integrate(x^2*arctan(c+(1+I*c)*tan(b*x+a)),x, algorithm=""giac"")","\int x^{2} \arctan\left({\left(i \, c + 1\right)} \tan\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x^2*arctan((I*c + 1)*tan(b*x + a) + c), x)","F",0
53,0,0,0,0.000000," ","integrate(x*arctan(c+(1+I*c)*tan(b*x+a)),x, algorithm=""giac"")","\int x \arctan\left({\left(i \, c + 1\right)} \tan\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x*arctan((I*c + 1)*tan(b*x + a) + c), x)","F",0
54,0,0,0,0.000000," ","integrate(arctan(c+(1+I*c)*tan(b*x+a)),x, algorithm=""giac"")","\int \arctan\left({\left(i \, c + 1\right)} \tan\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(arctan((I*c + 1)*tan(b*x + a) + c), x)","F",0
55,0,0,0,0.000000," ","integrate(arctan(c+(1+I*c)*tan(b*x+a))/x,x, algorithm=""giac"")","\int \frac{\arctan\left({\left(i \, c + 1\right)} \tan\left(b x + a\right) + c\right)}{x}\,{d x}"," ",0,"integrate(arctan((I*c + 1)*tan(b*x + a) + c)/x, x)","F",0
56,0,0,0,0.000000," ","integrate(x^2*arctan(c+(-1+I*c)*tan(b*x+a)),x, algorithm=""giac"")","\int x^{2} \arctan\left({\left(i \, c - 1\right)} \tan\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x^2*arctan((I*c - 1)*tan(b*x + a) + c), x)","F",0
57,0,0,0,0.000000," ","integrate(x*arctan(c+(-1+I*c)*tan(b*x+a)),x, algorithm=""giac"")","\int x \arctan\left({\left(i \, c - 1\right)} \tan\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x*arctan((I*c - 1)*tan(b*x + a) + c), x)","F",0
58,0,0,0,0.000000," ","integrate(arctan(c+(-1+I*c)*tan(b*x+a)),x, algorithm=""giac"")","\int \arctan\left({\left(i \, c - 1\right)} \tan\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(arctan((I*c - 1)*tan(b*x + a) + c), x)","F",0
59,0,0,0,0.000000," ","integrate(arctan(c+(-1+I*c)*tan(b*x+a))/x,x, algorithm=""giac"")","\int \frac{\arctan\left({\left(i \, c - 1\right)} \tan\left(b x + a\right) + c\right)}{x}\,{d x}"," ",0,"integrate(arctan((I*c - 1)*tan(b*x + a) + c)/x, x)","F",0
60,1,15,0,0.126117," ","integrate(1/2*pi-arccot(cot(b*x+a)),x, algorithm=""giac"")","-\frac{1}{2} \, b x^{2} + \frac{1}{2} \, \pi x - a x"," ",0,"-1/2*b*x^2 + 1/2*pi*x - a*x","A",0
61,0,0,0,0.000000," ","integrate(x^2*arctan(c+d*cot(b*x+a)),x, algorithm=""giac"")","\int x^{2} \arctan\left(d \cot\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x^2*arctan(d*cot(b*x + a) + c), x)","F",0
62,0,0,0,0.000000," ","integrate(x*arctan(c+d*cot(b*x+a)),x, algorithm=""giac"")","\int x \arctan\left(d \cot\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x*arctan(d*cot(b*x + a) + c), x)","F",0
63,0,0,0,0.000000," ","integrate(arctan(c+d*cot(b*x+a)),x, algorithm=""giac"")","\int \arctan\left(d \cot\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(arctan(d*cot(b*x + a) + c), x)","F",0
64,0,0,0,0.000000," ","integrate(arctan(c+d*cot(b*x+a))/x,x, algorithm=""giac"")","\int \frac{\arctan\left(d \cot\left(b x + a\right) + c\right)}{x}\,{d x}"," ",0,"integrate(arctan(d*cot(b*x + a) + c)/x, x)","F",0
65,0,0,0,0.000000," ","integrate(-x^2*arctan(-c-(1-I*c)*cot(b*x+a)),x, algorithm=""giac"")","\int -x^{2} \arctan\left(-{\left(-i \, c + 1\right)} \cot\left(b x + a\right) - c\right)\,{d x}"," ",0,"integrate(-x^2*arctan(-(-I*c + 1)*cot(b*x + a) - c), x)","F",0
66,0,0,0,0.000000," ","integrate(-x*arctan(-c-(1-I*c)*cot(b*x+a)),x, algorithm=""giac"")","\int -x \arctan\left(-{\left(-i \, c + 1\right)} \cot\left(b x + a\right) - c\right)\,{d x}"," ",0,"integrate(-x*arctan(-(-I*c + 1)*cot(b*x + a) - c), x)","F",0
67,0,0,0,0.000000," ","integrate(-arctan(-c-(1-I*c)*cot(b*x+a)),x, algorithm=""giac"")","\int -\arctan\left(-{\left(-i \, c + 1\right)} \cot\left(b x + a\right) - c\right)\,{d x}"," ",0,"integrate(-arctan(-(-I*c + 1)*cot(b*x + a) - c), x)","F",0
68,0,0,0,0.000000," ","integrate(-arctan(-c-(1-I*c)*cot(b*x+a))/x,x, algorithm=""giac"")","\int -\frac{\arctan\left(-{\left(-i \, c + 1\right)} \cot\left(b x + a\right) - c\right)}{x}\,{d x}"," ",0,"integrate(-arctan(-(-I*c + 1)*cot(b*x + a) - c)/x, x)","F",0
69,0,0,0,0.000000," ","integrate(-x^2*arctan(-c-(-1-I*c)*cot(b*x+a)),x, algorithm=""giac"")","\int -x^{2} \arctan\left(-{\left(-i \, c - 1\right)} \cot\left(b x + a\right) - c\right)\,{d x}"," ",0,"integrate(-x^2*arctan(-(-I*c - 1)*cot(b*x + a) - c), x)","F",0
70,0,0,0,0.000000," ","integrate(-x*arctan(-c-(-1-I*c)*cot(b*x+a)),x, algorithm=""giac"")","\int -x \arctan\left(-{\left(-i \, c - 1\right)} \cot\left(b x + a\right) - c\right)\,{d x}"," ",0,"integrate(-x*arctan(-(-I*c - 1)*cot(b*x + a) - c), x)","F",0
71,0,0,0,0.000000," ","integrate(-arctan(-c-(-1-I*c)*cot(b*x+a)),x, algorithm=""giac"")","\int -\arctan\left(-{\left(-i \, c - 1\right)} \cot\left(b x + a\right) - c\right)\,{d x}"," ",0,"integrate(-arctan(-(-I*c - 1)*cot(b*x + a) - c), x)","F",0
72,0,0,0,0.000000," ","integrate(-arctan(-c-(-1-I*c)*cot(b*x+a))/x,x, algorithm=""giac"")","\int -\frac{\arctan\left(-{\left(-i \, c - 1\right)} \cot\left(b x + a\right) - c\right)}{x}\,{d x}"," ",0,"integrate(-arctan(-(-I*c - 1)*cot(b*x + a) - c)/x, x)","F",0
73,0,0,0,0.000000," ","integrate(arctan(sinh(x)),x, algorithm=""giac"")","\int \arctan\left(\sinh\left(x\right)\right)\,{d x}"," ",0,"integrate(arctan(sinh(x)), x)","F",0
74,0,0,0,0.000000," ","integrate(x*arctan(sinh(x)),x, algorithm=""giac"")","\int x \arctan\left(\sinh\left(x\right)\right)\,{d x}"," ",0,"integrate(x*arctan(sinh(x)), x)","F",0
75,0,0,0,0.000000," ","integrate(x^2*arctan(sinh(x)),x, algorithm=""giac"")","\int x^{2} \arctan\left(\sinh\left(x\right)\right)\,{d x}"," ",0,"integrate(x^2*arctan(sinh(x)), x)","F",0
76,-1,0,0,0.000000," ","integrate((f*x+e)^3*arctan(tanh(b*x+a)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
77,-1,0,0,0.000000," ","integrate((f*x+e)^2*arctan(tanh(b*x+a)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
78,-1,0,0,0.000000," ","integrate((f*x+e)*arctan(tanh(b*x+a)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
79,0,0,0,0.000000," ","integrate(arctan(tanh(b*x+a)),x, algorithm=""giac"")","\int \arctan\left(\tanh\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(arctan(tanh(b*x + a)), x)","F",0
80,0,0,0,0.000000," ","integrate(arctan(tanh(b*x+a))/(f*x+e),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
81,0,0,0,0.000000," ","integrate(x^2*arctan(c+d*tanh(b*x+a)),x, algorithm=""giac"")","\int x^{2} \arctan\left(d \tanh\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x^2*arctan(d*tanh(b*x + a) + c), x)","F",0
82,0,0,0,0.000000," ","integrate(x*arctan(c+d*tanh(b*x+a)),x, algorithm=""giac"")","\int x \arctan\left(d \tanh\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x*arctan(d*tanh(b*x + a) + c), x)","F",0
83,0,0,0,0.000000," ","integrate(arctan(c+d*tanh(b*x+a)),x, algorithm=""giac"")","\int \arctan\left(d \tanh\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(arctan(d*tanh(b*x + a) + c), x)","F",0
84,0,0,0,0.000000," ","integrate(arctan(c+d*tanh(b*x+a))/x,x, algorithm=""giac"")","\int \frac{\arctan\left(d \tanh\left(b x + a\right) + c\right)}{x}\,{d x}"," ",0,"integrate(arctan(d*tanh(b*x + a) + c)/x, x)","F",0
85,0,0,0,0.000000," ","integrate(x^2*arctan(c+(I+c)*tanh(b*x+a)),x, algorithm=""giac"")","\int x^{2} \arctan\left({\left(c + i\right)} \tanh\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x^2*arctan((c + I)*tanh(b*x + a) + c), x)","F",0
86,0,0,0,0.000000," ","integrate(x*arctan(c+(I+c)*tanh(b*x+a)),x, algorithm=""giac"")","\int x \arctan\left({\left(c + i\right)} \tanh\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x*arctan((c + I)*tanh(b*x + a) + c), x)","F",0
87,0,0,0,0.000000," ","integrate(arctan(c+(I+c)*tanh(b*x+a)),x, algorithm=""giac"")","\int \arctan\left({\left(c + i\right)} \tanh\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(arctan((c + I)*tanh(b*x + a) + c), x)","F",0
88,0,0,0,0.000000," ","integrate(arctan(c+(I+c)*tanh(b*x+a))/x,x, algorithm=""giac"")","\int \frac{\arctan\left({\left(c + i\right)} \tanh\left(b x + a\right) + c\right)}{x}\,{d x}"," ",0,"integrate(arctan((c + I)*tanh(b*x + a) + c)/x, x)","F",0
89,0,0,0,0.000000," ","integrate(x^2*arctan(c-(I-c)*tanh(b*x+a)),x, algorithm=""giac"")","\int x^{2} \arctan\left({\left(c - i\right)} \tanh\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x^2*arctan((c - I)*tanh(b*x + a) + c), x)","F",0
90,0,0,0,0.000000," ","integrate(x*arctan(c-(I-c)*tanh(b*x+a)),x, algorithm=""giac"")","\int x \arctan\left({\left(c - i\right)} \tanh\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x*arctan((c - I)*tanh(b*x + a) + c), x)","F",0
91,0,0,0,0.000000," ","integrate(arctan(c-(I-c)*tanh(b*x+a)),x, algorithm=""giac"")","\int \arctan\left({\left(c - i\right)} \tanh\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(arctan((c - I)*tanh(b*x + a) + c), x)","F",0
92,0,0,0,0.000000," ","integrate(arctan(c-(I-c)*tanh(b*x+a))/x,x, algorithm=""giac"")","\int \frac{\arctan\left({\left(c - i\right)} \tanh\left(b x + a\right) + c\right)}{x}\,{d x}"," ",0,"integrate(arctan((c - I)*tanh(b*x + a) + c)/x, x)","F",0
93,-1,0,0,0.000000," ","integrate((f*x+e)^3*arctan(coth(b*x+a)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
94,-1,0,0,0.000000," ","integrate((f*x+e)^2*arctan(coth(b*x+a)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
95,0,0,0,0.000000," ","integrate((f*x+e)*arctan(coth(b*x+a)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
96,0,0,0,0.000000," ","integrate(arctan(coth(b*x+a)),x, algorithm=""giac"")","\int \arctan\left(\coth\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(arctan(coth(b*x + a)), x)","F",0
97,0,0,0,0.000000," ","integrate(arctan(coth(b*x+a))/(f*x+e),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
98,0,0,0,0.000000," ","integrate(x^2*arctan(c+d*coth(b*x+a)),x, algorithm=""giac"")","\int x^{2} \arctan\left(d \coth\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x^2*arctan(d*coth(b*x + a) + c), x)","F",0
99,0,0,0,0.000000," ","integrate(x*arctan(c+d*coth(b*x+a)),x, algorithm=""giac"")","\int x \arctan\left(d \coth\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x*arctan(d*coth(b*x + a) + c), x)","F",0
100,0,0,0,0.000000," ","integrate(arctan(c+d*coth(b*x+a)),x, algorithm=""giac"")","\int \arctan\left(d \coth\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(arctan(d*coth(b*x + a) + c), x)","F",0
101,0,0,0,0.000000," ","integrate(arctan(c+d*coth(b*x+a))/x,x, algorithm=""giac"")","\int \frac{\arctan\left(d \coth\left(b x + a\right) + c\right)}{x}\,{d x}"," ",0,"integrate(arctan(d*coth(b*x + a) + c)/x, x)","F",0
102,0,0,0,0.000000," ","integrate(x^2*arctan(c+(I+c)*coth(b*x+a)),x, algorithm=""giac"")","\int x^{2} \arctan\left({\left(c + i\right)} \coth\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x^2*arctan((c + I)*coth(b*x + a) + c), x)","F",0
103,0,0,0,0.000000," ","integrate(x*arctan(c+(I+c)*coth(b*x+a)),x, algorithm=""giac"")","\int x \arctan\left({\left(c + i\right)} \coth\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x*arctan((c + I)*coth(b*x + a) + c), x)","F",0
104,0,0,0,0.000000," ","integrate(arctan(c+(I+c)*coth(b*x+a)),x, algorithm=""giac"")","\int \arctan\left({\left(c + i\right)} \coth\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(arctan((c + I)*coth(b*x + a) + c), x)","F",0
105,0,0,0,0.000000," ","integrate(arctan(c+(I+c)*coth(b*x+a))/x,x, algorithm=""giac"")","\int \frac{\arctan\left({\left(c + i\right)} \coth\left(b x + a\right) + c\right)}{x}\,{d x}"," ",0,"integrate(arctan((c + I)*coth(b*x + a) + c)/x, x)","F",0
106,0,0,0,0.000000," ","integrate(x^2*arctan(c-(I-c)*coth(b*x+a)),x, algorithm=""giac"")","\int x^{2} \arctan\left({\left(c - i\right)} \coth\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x^2*arctan((c - I)*coth(b*x + a) + c), x)","F",0
107,0,0,0,0.000000," ","integrate(x*arctan(c-(I-c)*coth(b*x+a)),x, algorithm=""giac"")","\int x \arctan\left({\left(c - i\right)} \coth\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x*arctan((c - I)*coth(b*x + a) + c), x)","F",0
108,0,0,0,0.000000," ","integrate(arctan(c-(I-c)*coth(b*x+a)),x, algorithm=""giac"")","\int \arctan\left({\left(c - i\right)} \coth\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(arctan((c - I)*coth(b*x + a) + c), x)","F",0
109,0,0,0,0.000000," ","integrate(arctan(c-(I-c)*coth(b*x+a))/x,x, algorithm=""giac"")","\int \frac{\arctan\left({\left(c - i\right)} \coth\left(b x + a\right) + c\right)}{x}\,{d x}"," ",0,"integrate(arctan((c - I)*coth(b*x + a) + c)/x, x)","F",0
110,0,0,0,0.000000," ","integrate(arctan(exp(x)),x, algorithm=""giac"")","\int \arctan\left(e^{x}\right)\,{d x}"," ",0,"integrate(arctan(e^x), x)","F",0
111,0,0,0,0.000000," ","integrate(x*arctan(exp(x)),x, algorithm=""giac"")","\int x \arctan\left(e^{x}\right)\,{d x}"," ",0,"integrate(x*arctan(e^x), x)","F",0
112,0,0,0,0.000000," ","integrate(x^2*arctan(exp(x)),x, algorithm=""giac"")","\int x^{2} \arctan\left(e^{x}\right)\,{d x}"," ",0,"integrate(x^2*arctan(e^x), x)","F",0
113,0,0,0,0.000000," ","integrate(arctan(exp(b*x+a)),x, algorithm=""giac"")","\int \arctan\left(e^{\left(b x + a\right)}\right)\,{d x}"," ",0,"integrate(arctan(e^(b*x + a)), x)","F",0
114,0,0,0,0.000000," ","integrate(x*arctan(exp(b*x+a)),x, algorithm=""giac"")","\int x \arctan\left(e^{\left(b x + a\right)}\right)\,{d x}"," ",0,"integrate(x*arctan(e^(b*x + a)), x)","F",0
115,0,0,0,0.000000," ","integrate(x^2*arctan(exp(b*x+a)),x, algorithm=""giac"")","\int x^{2} \arctan\left(e^{\left(b x + a\right)}\right)\,{d x}"," ",0,"integrate(x^2*arctan(e^(b*x + a)), x)","F",0
116,0,0,0,0.000000," ","integrate(arctan(a+b*f^(d*x+c)),x, algorithm=""giac"")","\int \arctan\left(b f^{d x + c} + a\right)\,{d x}"," ",0,"integrate(arctan(b*f^(d*x + c) + a), x)","F",0
117,0,0,0,0.000000," ","integrate(x*arctan(a+b*f^(d*x+c)),x, algorithm=""giac"")","\int x \arctan\left(b f^{d x + c} + a\right)\,{d x}"," ",0,"integrate(x*arctan(b*f^(d*x + c) + a), x)","F",0
118,0,0,0,0.000000," ","integrate(x^2*arctan(a+b*f^(d*x+c)),x, algorithm=""giac"")","\int x^{2} \arctan\left(b f^{d x + c} + a\right)\,{d x}"," ",0,"integrate(x^2*arctan(b*f^(d*x + c) + a), x)","F",0
119,1,20,0,0.113097," ","integrate(arctan(exp(x))/exp(x),x, algorithm=""giac"")","-\arctan\left(e^{x}\right) e^{\left(-x\right)} + x - \frac{1}{2} \, \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"-arctan(e^x)*e^(-x) + x - 1/2*log(e^(2*x) + 1)","A",0
120,1,32,0,0.111322," ","integrate(arctan(x)/(-1+x)^3,x, algorithm=""giac"")","-\frac{1}{4 \, {\left(x - 1\right)}} - \frac{\arctan\left(x\right)}{2 \, {\left(x - 1\right)}^{2}} + \frac{1}{8} \, \log\left(x^{2} + 1\right) - \frac{1}{4} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/4/(x - 1) - 1/2*arctan(x)/(x - 1)^2 + 1/8*log(x^2 + 1) - 1/4*log(abs(x - 1))","A",0
121,0,0,0,0.000000," ","integrate(arctan(1+2*x)/(4+3*x)^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
122,1,24,0,0.125224," ","integrate(arctan((1+x)^(1/2)),x, algorithm=""giac"")","{\left(x + 1\right)} \arctan\left(\sqrt{x + 1}\right) - \sqrt{x + 1} + \arctan\left(\sqrt{x + 1}\right)"," ",0,"(x + 1)*arctan(sqrt(x + 1)) - sqrt(x + 1) + arctan(sqrt(x + 1))","A",0
123,1,5,0,0.123100," ","integrate(1/(x^2+1)/(2+arctan(x)),x, algorithm=""giac"")","\log\left(\arctan\left(x\right) + 2\right)"," ",0,"log(arctan(x) + 2)","A",0
124,1,16,0,0.114583," ","integrate(1/(a*x^2+a)/(b-2*b*arctan(x)),x, algorithm=""giac"")","-\frac{\log\left({\left| 2 \, \arctan\left(x\right) - 1 \right|}\right)}{2 \, a b}"," ",0,"-1/2*log(abs(2*arctan(x) - 1))/(a*b)","A",0
125,1,104,0,0.142915," ","integrate((x+x^3+(1+x)^2*arctan(x))/(1+x)^2/(x^2+1),x, algorithm=""giac"")","\frac{{\left(x + 1\right)} {\left(\frac{1}{x + 1} - 1\right)} \arctan\left({\left(x + 1\right)} {\left(\frac{1}{x + 1} - 1\right)}\right)^{2} + 2 \, {\left(x + 1\right)} {\left(\frac{1}{x + 1} - 1\right)} \log\left(-{\left(x + 1\right)} {\left(\frac{1}{x + 1} - 1\right)} + 1\right) - \arctan\left({\left(x + 1\right)} {\left(\frac{1}{x + 1} - 1\right)}\right)^{2} - 2 \, \log\left(-{\left(x + 1\right)} {\left(\frac{1}{x + 1} - 1\right)} + 1\right) - 2}{2 \, {\left({\left(x + 1\right)} {\left(\frac{1}{x + 1} - 1\right)} - 1\right)}}"," ",0,"1/2*((x + 1)*(1/(x + 1) - 1)*arctan((x + 1)*(1/(x + 1) - 1))^2 + 2*(x + 1)*(1/(x + 1) - 1)*log(-(x + 1)*(1/(x + 1) - 1) + 1) - arctan((x + 1)*(1/(x + 1) - 1))^2 - 2*log(-(x + 1)*(1/(x + 1) - 1) + 1) - 2)/((x + 1)*(1/(x + 1) - 1) - 1)","B",0
126,1,44,0,0.128373," ","integrate(-x^3*arctan(x^(1/2)-(1+x)^(1/2)),x, algorithm=""giac"")","-\frac{1}{4} \, x^{4} \arctan\left(-\sqrt{x + 1} + \sqrt{x}\right) + \frac{1}{56} \, x^{\frac{7}{2}} - \frac{1}{40} \, x^{\frac{5}{2}} + \frac{1}{24} \, x^{\frac{3}{2}} - \frac{1}{8} \, \sqrt{x} + \frac{1}{8} \, \arctan\left(\sqrt{x}\right)"," ",0,"-1/4*x^4*arctan(-sqrt(x + 1) + sqrt(x)) + 1/56*x^(7/2) - 1/40*x^(5/2) + 1/24*x^(3/2) - 1/8*sqrt(x) + 1/8*arctan(sqrt(x))","A",0
127,1,39,0,0.150757," ","integrate(-x^2*arctan(x^(1/2)-(1+x)^(1/2)),x, algorithm=""giac"")","-\frac{1}{3} \, x^{3} \arctan\left(-\sqrt{x + 1} + \sqrt{x}\right) + \frac{1}{30} \, x^{\frac{5}{2}} - \frac{1}{18} \, x^{\frac{3}{2}} + \frac{1}{6} \, \sqrt{x} - \frac{1}{6} \, \arctan\left(\sqrt{x}\right)"," ",0,"-1/3*x^3*arctan(-sqrt(x + 1) + sqrt(x)) + 1/30*x^(5/2) - 1/18*x^(3/2) + 1/6*sqrt(x) - 1/6*arctan(sqrt(x))","A",0
128,1,34,0,0.152213," ","integrate(-x*arctan(x^(1/2)-(1+x)^(1/2)),x, algorithm=""giac"")","-\frac{1}{2} \, x^{2} \arctan\left(-\sqrt{x + 1} + \sqrt{x}\right) + \frac{1}{12} \, x^{\frac{3}{2}} - \frac{1}{4} \, \sqrt{x} + \frac{1}{4} \, \arctan\left(\sqrt{x}\right)"," ",0,"-1/2*x^2*arctan(-sqrt(x + 1) + sqrt(x)) + 1/12*x^(3/2) - 1/4*sqrt(x) + 1/4*arctan(sqrt(x))","A",0
129,1,27,0,0.136092," ","integrate(-arctan(x^(1/2)-(1+x)^(1/2)),x, algorithm=""giac"")","-x \arctan\left(-\sqrt{x + 1} + \sqrt{x}\right) + \frac{1}{2} \, \sqrt{x} - \frac{1}{2} \, \arctan\left(\sqrt{x}\right)"," ",0,"-x*arctan(-sqrt(x + 1) + sqrt(x)) + 1/2*sqrt(x) - 1/2*arctan(sqrt(x))","A",0
130,0,0,0,0.000000," ","integrate(-arctan(x^(1/2)-(1+x)^(1/2))/x,x, algorithm=""giac"")","\int -\frac{\arctan\left(-\sqrt{x + 1} + \sqrt{x}\right)}{x}\,{d x}"," ",0,"integrate(-arctan(-sqrt(x + 1) + sqrt(x))/x, x)","F",0
131,1,28,0,0.148117," ","integrate(-arctan(x^(1/2)-(1+x)^(1/2))/x^2,x, algorithm=""giac"")","\frac{\arctan\left(-\sqrt{x + 1} + \sqrt{x}\right)}{x} + \frac{1}{2 \, \sqrt{x}} + \frac{1}{2} \, \arctan\left(\sqrt{x}\right)"," ",0,"arctan(-sqrt(x + 1) + sqrt(x))/x + 1/2/sqrt(x) + 1/2*arctan(sqrt(x))","A",0
132,1,34,0,0.145427," ","integrate(-arctan(x^(1/2)-(1+x)^(1/2))/x^3,x, algorithm=""giac"")","-\frac{3 \, x - 1}{12 \, x^{\frac{3}{2}}} + \frac{\arctan\left(-\sqrt{x + 1} + \sqrt{x}\right)}{2 \, x^{2}} - \frac{1}{4} \, \arctan\left(\sqrt{x}\right)"," ",0,"-1/12*(3*x - 1)/x^(3/2) + 1/2*arctan(-sqrt(x + 1) + sqrt(x))/x^2 - 1/4*arctan(sqrt(x))","A",0
133,1,39,0,0.148139," ","integrate(-arctan(x^(1/2)-(1+x)^(1/2))/x^4,x, algorithm=""giac"")","\frac{15 \, x^{2} - 5 \, x + 3}{90 \, x^{\frac{5}{2}}} + \frac{\arctan\left(-\sqrt{x + 1} + \sqrt{x}\right)}{3 \, x^{3}} + \frac{1}{6} \, \arctan\left(\sqrt{x}\right)"," ",0,"1/90*(15*x^2 - 5*x + 3)/x^(5/2) + 1/3*arctan(-sqrt(x + 1) + sqrt(x))/x^3 + 1/6*arctan(sqrt(x))","A",0
134,0,0,0,0.000000," ","integrate(arctan(c*x/(-c^2*x^2+a)^(1/2))^m/(d-c^2*d*x^2/a)^(1/2),x, algorithm=""giac"")","\int \frac{\arctan\left(\frac{c x}{\sqrt{-c^{2} x^{2} + a}}\right)^{m}}{\sqrt{-\frac{c^{2} d x^{2}}{a} + d}}\,{d x}"," ",0,"integrate(arctan(c*x/sqrt(-c^2*x^2 + a))^m/sqrt(-c^2*d*x^2/a + d), x)","F",0
135,0,0,0,0.000000," ","integrate(arctan(c*x/(-c^2*x^2+a)^(1/2))^2/(d-c^2*d*x^2/a)^(1/2),x, algorithm=""giac"")","\int \frac{\arctan\left(\frac{c x}{\sqrt{-c^{2} x^{2} + a}}\right)^{2}}{\sqrt{-\frac{c^{2} d x^{2}}{a} + d}}\,{d x}"," ",0,"integrate(arctan(c*x/sqrt(-c^2*x^2 + a))^2/sqrt(-c^2*d*x^2/a + d), x)","F",0
136,0,0,0,0.000000," ","integrate(arctan(c*x/(-c^2*x^2+a)^(1/2))/(d-c^2*d*x^2/a)^(1/2),x, algorithm=""giac"")","\int \frac{\arctan\left(\frac{c x}{\sqrt{-c^{2} x^{2} + a}}\right)}{\sqrt{-\frac{c^{2} d x^{2}}{a} + d}}\,{d x}"," ",0,"integrate(arctan(c*x/sqrt(-c^2*x^2 + a))/sqrt(-c^2*d*x^2/a + d), x)","F",0
137,0,0,0,0.000000," ","integrate(1/arctan(c*x/(-c^2*x^2+a)^(1/2))/(d-c^2*d*x^2/a)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-\frac{c^{2} d x^{2}}{a} + d} \arctan\left(\frac{c x}{\sqrt{-c^{2} x^{2} + a}}\right)}\,{d x}"," ",0,"integrate(1/(sqrt(-c^2*d*x^2/a + d)*arctan(c*x/sqrt(-c^2*x^2 + a))), x)","F",0
138,0,0,0,0.000000," ","integrate(1/arctan(c*x/(-c^2*x^2+a)^(1/2))^2/(d-c^2*d*x^2/a)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-\frac{c^{2} d x^{2}}{a} + d} \arctan\left(\frac{c x}{\sqrt{-c^{2} x^{2} + a}}\right)^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(-c^2*d*x^2/a + d)*arctan(c*x/sqrt(-c^2*x^2 + a))^2), x)","F",0
139,0,0,0,0.000000," ","integrate(1/arctan(c*x/(-c^2*x^2+a)^(1/2))^3/(d-c^2*d*x^2/a)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-\frac{c^{2} d x^{2}}{a} + d} \arctan\left(\frac{c x}{\sqrt{-c^{2} x^{2} + a}}\right)^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(-c^2*d*x^2/a + d)*arctan(c*x/sqrt(-c^2*x^2 + a))^3), x)","F",0
140,0,0,0,0.000000," ","integrate(arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))^m/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{\arctan\left(\frac{e x}{\sqrt{-e^{2} x^{2} - \frac{a e^{2}}{b}}}\right)^{m}}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate(arctan(e*x/sqrt(-e^2*x^2 - a*e^2/b))^m/sqrt(b*x^2 + a), x)","F",0
141,0,0,0,0.000000," ","integrate(arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))^2/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{\arctan\left(\frac{e x}{\sqrt{-e^{2} x^{2} - \frac{a e^{2}}{b}}}\right)^{2}}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate(arctan(e*x/sqrt(-e^2*x^2 - a*e^2/b))^2/sqrt(b*x^2 + a), x)","F",0
142,0,0,0,0.000000," ","integrate(arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{\arctan\left(\frac{e x}{\sqrt{-e^{2} x^{2} - \frac{a e^{2}}{b}}}\right)}{\sqrt{b x^{2} + a}}\,{d x}"," ",0,"integrate(arctan(e*x/sqrt(-e^2*x^2 - a*e^2/b))/sqrt(b*x^2 + a), x)","F",0
143,0,0,0,0.000000," ","integrate(1/arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{2} + a} \arctan\left(\frac{e x}{\sqrt{-e^{2} x^{2} - \frac{a e^{2}}{b}}}\right)}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^2 + a)*arctan(e*x/sqrt(-e^2*x^2 - a*e^2/b))), x)","F",0
144,0,0,0,0.000000," ","integrate(1/arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))^2/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{2} + a} \arctan\left(\frac{e x}{\sqrt{-e^{2} x^{2} - \frac{a e^{2}}{b}}}\right)^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^2 + a)*arctan(e*x/sqrt(-e^2*x^2 - a*e^2/b))^2), x)","F",0
145,0,0,0,0.000000," ","integrate(1/arctan(e*x/(-a*e^2/b-e^2*x^2)^(1/2))^3/(b*x^2+a)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{2} + a} \arctan\left(\frac{e x}{\sqrt{-e^{2} x^{2} - \frac{a e^{2}}{b}}}\right)^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^2 + a)*arctan(e*x/sqrt(-e^2*x^2 - a*e^2/b))^3), x)","F",0
146,-1,0,0,0.000000," ","integrate(arctan(c*(b*x+a))*log(d*(b*x+a))/(b*x+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
147,1,65,0,2.063905," ","integrate(exp(c*(b*x+a))*arctan(sinh(b*c*x+a*c)),x, algorithm=""giac"")","\frac{{\left(\arctan\left(\frac{1}{2} \, e^{\left(b c x + a c\right)} - \frac{1}{2} \, e^{\left(-b c x - a c\right)}\right) e^{\left(b c x\right)} - e^{\left(-a c\right)} \log\left(e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)\right)} e^{\left(a c\right)}}{b c}"," ",0,"(arctan(1/2*e^(b*c*x + a*c) - 1/2*e^(-b*c*x - a*c))*e^(b*c*x) - e^(-a*c)*log(e^(2*b*c*x + 2*a*c) + 1))*e^(a*c)/(b*c)","A",0
148,1,154,0,0.913765," ","integrate(exp(c*(b*x+a))*arctan(cosh(b*c*x+a*c)),x, algorithm=""giac"")","\frac{{\left(\sqrt{2} e^{\left(-a c\right)} \log\left(-\frac{2 \, \sqrt{2} e^{\left(2 \, a c\right)} - e^{\left(2 \, b c x + 4 \, a c\right)} - 3 \, e^{\left(2 \, a c\right)}}{2 \, \sqrt{2} e^{\left(2 \, a c\right)} + e^{\left(2 \, b c x + 4 \, a c\right)} + 3 \, e^{\left(2 \, a c\right)}}\right) + 2 \, \arctan\left(\frac{1}{2} \, e^{\left(b c x + a c\right)} + \frac{1}{2} \, e^{\left(-b c x - a c\right)}\right) e^{\left(b c x\right)} - e^{\left(-a c\right)} \log\left(e^{\left(4 \, b c x + 4 \, a c\right)} + 6 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)\right)} e^{\left(a c\right)}}{2 \, b c}"," ",0,"1/2*(sqrt(2)*e^(-a*c)*log(-(2*sqrt(2)*e^(2*a*c) - e^(2*b*c*x + 4*a*c) - 3*e^(2*a*c))/(2*sqrt(2)*e^(2*a*c) + e^(2*b*c*x + 4*a*c) + 3*e^(2*a*c))) + 2*arctan(1/2*e^(b*c*x + a*c) + 1/2*e^(-b*c*x - a*c))*e^(b*c*x) - e^(-a*c)*log(e^(4*b*c*x + 4*a*c) + 6*e^(2*b*c*x + 2*a*c) + 1))*e^(a*c)/(b*c)","A",0
149,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*arctan(tanh(b*c*x+a*c)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
150,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*arctan(coth(b*c*x+a*c)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
151,1,154,0,0.136518," ","integrate(exp(c*(b*x+a))*arctan(sech(b*c*x+a*c)),x, algorithm=""giac"")","-\frac{{\left(\sqrt{2} e^{\left(-a c\right)} \log\left(-\frac{2 \, \sqrt{2} e^{\left(2 \, a c\right)} - e^{\left(2 \, b c x + 4 \, a c\right)} - 3 \, e^{\left(2 \, a c\right)}}{2 \, \sqrt{2} e^{\left(2 \, a c\right)} + e^{\left(2 \, b c x + 4 \, a c\right)} + 3 \, e^{\left(2 \, a c\right)}}\right) - 2 \, \arctan\left(\frac{2}{e^{\left(b c x + a c\right)} + e^{\left(-b c x - a c\right)}}\right) e^{\left(b c x\right)} - e^{\left(-a c\right)} \log\left(e^{\left(4 \, b c x + 4 \, a c\right)} + 6 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)\right)} e^{\left(a c\right)}}{2 \, b c}"," ",0,"-1/2*(sqrt(2)*e^(-a*c)*log(-(2*sqrt(2)*e^(2*a*c) - e^(2*b*c*x + 4*a*c) - 3*e^(2*a*c))/(2*sqrt(2)*e^(2*a*c) + e^(2*b*c*x + 4*a*c) + 3*e^(2*a*c))) - 2*arctan(2/(e^(b*c*x + a*c) + e^(-b*c*x - a*c)))*e^(b*c*x) - e^(-a*c)*log(e^(4*b*c*x + 4*a*c) + 6*e^(2*b*c*x + 2*a*c) + 1))*e^(a*c)/(b*c)","A",0
152,1,66,0,0.126290," ","integrate(exp(c*(b*x+a))*arctan(csch(b*c*x+a*c)),x, algorithm=""giac"")","\frac{{\left(\arctan\left(\frac{2}{e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}}\right) e^{\left(b c x\right)} + e^{\left(-a c\right)} \log\left(e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)\right)} e^{\left(a c\right)}}{b c}"," ",0,"(arctan(2/(e^(b*c*x + a*c) - e^(-b*c*x - a*c)))*e^(b*c*x) + e^(-a*c)*log(e^(2*b*c*x + 2*a*c) + 1))*e^(a*c)/(b*c)","A",0
153,0,0,0,0.000000," ","integrate((a+b*arctan(c*x^n))*(d+e*log(f*x^m))/x,x, algorithm=""giac"")","\int \frac{{\left(b \arctan\left(c x^{n}\right) + a\right)} {\left(e \log\left(f x^{m}\right) + d\right)}}{x}\,{d x}"," ",0,"integrate((b*arctan(c*x^n) + a)*(e*log(f*x^m) + d)/x, x)","F",0
