1,0,0,0,0.649079," ","integrate(exp(arccot(x)),x, algorithm=""fricas"")","{\rm integral}\left(e^{\operatorname{arccot}\left(x\right)}, x\right)"," ",0,"integral(e^arccot(x), x)","F",0
2,1,8,0,0.742261," ","integrate(exp(arccot(x))/(a*x^2+a),x, algorithm=""fricas"")","-\frac{e^{\operatorname{arccot}\left(x\right)}}{a}"," ",0,"-e^arccot(x)/a","A",0
3,1,28,0,0.513366," ","integrate(exp(arccot(x))/(a*x^2+a)^2,x, algorithm=""fricas"")","-\frac{{\left(2 \, x^{2} - 2 \, x + 3\right)} e^{\operatorname{arccot}\left(x\right)}}{5 \, {\left(a^{2} x^{2} + a^{2}\right)}}"," ",0,"-1/5*(2*x^2 - 2*x + 3)*e^arccot(x)/(a^2*x^2 + a^2)","A",0
4,1,46,0,0.625360," ","integrate(exp(arccot(x))/(a*x^2+a)^3,x, algorithm=""fricas"")","-\frac{{\left(24 \, x^{4} - 24 \, x^{3} + 60 \, x^{2} - 44 \, x + 41\right)} e^{\operatorname{arccot}\left(x\right)}}{85 \, {\left(a^{3} x^{4} + 2 \, a^{3} x^{2} + a^{3}\right)}}"," ",0,"-1/85*(24*x^4 - 24*x^3 + 60*x^2 - 44*x + 41)*e^arccot(x)/(a^3*x^4 + 2*a^3*x^2 + a^3)","A",0
5,1,30,0,0.529241," ","integrate(exp(arccot(x))/(a*x^2+a)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{a x^{2} + a} {\left(x - 1\right)} e^{\operatorname{arccot}\left(x\right)}}{2 \, {\left(a^{2} x^{2} + a^{2}\right)}}"," ",0,"1/2*sqrt(a*x^2 + a)*(x - 1)*e^arccot(x)/(a^2*x^2 + a^2)","A",0
6,1,50,0,0.751545," ","integrate(exp(arccot(x))/(a*x^2+a)^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{a x^{2} + a} {\left(3 \, x^{3} - 3 \, x^{2} + 6 \, x - 4\right)} e^{\operatorname{arccot}\left(x\right)}}{10 \, {\left(a^{3} x^{4} + 2 \, a^{3} x^{2} + a^{3}\right)}}"," ",0,"1/10*sqrt(a*x^2 + a)*(3*x^3 - 3*x^2 + 6*x - 4)*e^arccot(x)/(a^3*x^4 + 2*a^3*x^2 + a^3)","A",0
7,1,68,0,0.669257," ","integrate(exp(arccot(x))/(a*x^2+a)^(7/2),x, algorithm=""fricas"")","\frac{{\left(6 \, x^{5} - 6 \, x^{4} + 18 \, x^{3} - 14 \, x^{2} + 17 \, x - 9\right)} \sqrt{a x^{2} + a} e^{\operatorname{arccot}\left(x\right)}}{26 \, {\left(a^{4} x^{6} + 3 \, a^{4} x^{4} + 3 \, a^{4} x^{2} + a^{4}\right)}}"," ",0,"1/26*(6*x^5 - 6*x^4 + 18*x^3 - 14*x^2 + 17*x - 9)*sqrt(a*x^2 + a)*e^arccot(x)/(a^4*x^6 + 3*a^4*x^4 + 3*a^4*x^2 + a^4)","A",0
8,0,0,0,0.624386," ","integrate(exp(n*arccot(a*x))/(a^2*c*x^2+c)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(n \operatorname{arccot}\left(a x\right)\right)}}{{\left(a^{2} c x^{2} + c\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral(e^(n*arccot(a*x))/(a^2*c*x^2 + c)^(1/3), x)","F",0
9,0,0,0,0.659078," ","integrate(exp(n*arccot(a*x))/(a^2*c*x^2+c)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(n \operatorname{arccot}\left(a x\right)\right)}}{{\left(a^{2} c x^{2} + c\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral(e^(n*arccot(a*x))/(a^2*c*x^2 + c)^(2/3), x)","F",0
10,0,0,0,0.694679," ","integrate(exp(n*arccot(a*x))/(a^2*c*x^2+c)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} c x^{2} + c\right)}^{\frac{2}{3}} e^{\left(n \operatorname{arccot}\left(a x\right)\right)}}{a^{4} c^{2} x^{4} + 2 \, a^{2} c^{2} x^{2} + c^{2}}, x\right)"," ",0,"integral((a^2*c*x^2 + c)^(2/3)*e^(n*arccot(a*x))/(a^4*c^2*x^4 + 2*a^2*c^2*x^2 + c^2), x)","F",0
11,0,0,0,0.594988," ","integrate(exp(n*arccot(a*x))/(a^2*c*x^2+c)^(5/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} c x^{2} + c\right)}^{\frac{1}{3}} e^{\left(n \operatorname{arccot}\left(a x\right)\right)}}{a^{4} c^{2} x^{4} + 2 \, a^{2} c^{2} x^{2} + c^{2}}, x\right)"," ",0,"integral((a^2*c*x^2 + c)^(1/3)*e^(n*arccot(a*x))/(a^4*c^2*x^4 + 2*a^2*c^2*x^2 + c^2), x)","F",0
12,0,0,0,0.565857," ","integrate(exp(n*arccot(a*x))/(a^2*c*x^2+c)^(7/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} c x^{2} + c\right)}^{\frac{2}{3}} e^{\left(n \operatorname{arccot}\left(a x\right)\right)}}{a^{6} c^{3} x^{6} + 3 \, a^{4} c^{3} x^{4} + 3 \, a^{2} c^{3} x^{2} + c^{3}}, x\right)"," ",0,"integral((a^2*c*x^2 + c)^(2/3)*e^(n*arccot(a*x))/(a^6*c^3*x^6 + 3*a^4*c^3*x^4 + 3*a^2*c^3*x^2 + c^3), x)","F",0
