1,0,0,80,0.180000," ","int(arcsec(a*x^5)/x,x)","\int \frac{\mathrm{arcsec}\left(a \,x^{5}\right)}{x}\, dx"," ",0,"int(arcsec(a*x^5)/x,x)","F"
2,1,43,38,0.052000," ","int(x^3*arcsec(x^(1/2)),x)","\frac{x^{4} \mathrm{arcsec}\left(\sqrt{x}\right)}{4}-\frac{\left(x -1\right) \left(5 x^{3}+6 x^{2}+8 x +16\right)}{140 \sqrt{\frac{x -1}{x}}\, \sqrt{x}}"," ",0,"1/4*x^4*arcsec(x^(1/2))-1/140*(x-1)*(5*x^3+6*x^2+8*x+16)/((x-1)/x)^(1/2)/x^(1/2)","A"
3,1,38,31,0.049000," ","int(x^2*arcsec(x^(1/2)),x)","\frac{x^{3} \mathrm{arcsec}\left(\sqrt{x}\right)}{3}-\frac{\left(x -1\right) \left(3 x^{2}+4 x +8\right)}{45 \sqrt{\frac{x -1}{x}}\, \sqrt{x}}"," ",0,"1/3*x^3*arcsec(x^(1/2))-1/45*(x-1)*(3*x^2+4*x+8)/((x-1)/x)^(1/2)/x^(1/2)","A"
4,1,31,24,0.048000," ","int(x*arcsec(x^(1/2)),x)","\frac{x^{2} \mathrm{arcsec}\left(\sqrt{x}\right)}{2}-\frac{\left(x -1\right) \left(x +2\right)}{6 \sqrt{\frac{x -1}{x}}\, \sqrt{x}}"," ",0,"1/2*x^2*arcsec(x^(1/2))-1/6*(x-1)*(x+2)/((x-1)/x)^(1/2)/x^(1/2)","A"
5,1,25,14,0.048000," ","int(arcsec(x^(1/2)),x)","x \,\mathrm{arcsec}\left(\sqrt{x}\right)-\frac{x -1}{\sqrt{\frac{x -1}{x}}\, \sqrt{x}}"," ",0,"x*arcsec(x^(1/2))-1/((x-1)/x)^(1/2)/x^(1/2)*(x-1)","A"
6,1,63,62,0.115000," ","int(arcsec(x^(1/2))/x,x)","i \mathrm{arcsec}\left(\sqrt{x}\right)^{2}-2 \,\mathrm{arcsec}\left(\sqrt{x}\right) \ln \left(1+\left(\frac{1}{\sqrt{x}}+i \sqrt{1-\frac{1}{x}}\right)^{2}\right)+i \polylog \left(2, -\left(\frac{1}{\sqrt{x}}+i \sqrt{1-\frac{1}{x}}\right)^{2}\right)"," ",0,"I*arcsec(x^(1/2))^2-2*arcsec(x^(1/2))*ln(1+(1/x^(1/2)+I*(1-1/x)^(1/2))^2)+I*polylog(2,-(1/x^(1/2)+I*(1-1/x)^(1/2))^2)","A"
7,1,46,28,0.051000," ","int(arcsec(x^(1/2))/x^2,x)","-\frac{\mathrm{arcsec}\left(\sqrt{x}\right)}{x}-\frac{\sqrt{x -1}\, \left(\arctan \left(\frac{1}{\sqrt{x -1}}\right) x -\sqrt{x -1}\right)}{2 \sqrt{\frac{x -1}{x}}\, x^{\frac{3}{2}}}"," ",0,"-arcsec(x^(1/2))/x-1/2*(x-1)^(1/2)*(arctan(1/(x-1)^(1/2))*x-(x-1)^(1/2))/((x-1)/x)^(1/2)/x^(3/2)","A"
8,1,57,38,0.049000," ","int(arcsec(x^(1/2))/x^3,x)","-\frac{\mathrm{arcsec}\left(\sqrt{x}\right)}{2 x^{2}}+\frac{\sqrt{x -1}\, \left(-3 \arctan \left(\frac{1}{\sqrt{x -1}}\right) x^{2}+3 x \sqrt{x -1}+2 \sqrt{x -1}\right)}{16 \sqrt{\frac{x -1}{x}}\, x^{\frac{5}{2}}}"," ",0,"-1/2*arcsec(x^(1/2))/x^2+1/16*(x-1)^(1/2)*(-3*arctan(1/(x-1)^(1/2))*x^2+3*x*(x-1)^(1/2)+2*(x-1)^(1/2))/((x-1)/x)^(1/2)/x^(5/2)","A"
9,1,67,48,0.050000," ","int(arcsec(x^(1/2))/x^4,x)","-\frac{\mathrm{arcsec}\left(\sqrt{x}\right)}{3 x^{3}}-\frac{\sqrt{x -1}\, \left(15 \arctan \left(\frac{1}{\sqrt{x -1}}\right) x^{3}-15 x^{2} \sqrt{x -1}-10 x \sqrt{x -1}-8 \sqrt{x -1}\right)}{144 \sqrt{\frac{x -1}{x}}\, x^{\frac{7}{2}}}"," ",0,"-1/3*arcsec(x^(1/2))/x^3-1/144*(x-1)^(1/2)*(15*arctan(1/(x-1)^(1/2))*x^3-15*x^2*(x-1)^(1/2)-10*x*(x-1)^(1/2)-8*(x-1)^(1/2))/((x-1)/x)^(1/2)/x^(7/2)","A"
10,1,66,46,0.081000," ","int(x^2*arcsec(a/x),x)","-a^{3} \left(-\frac{x^{3} \mathrm{arcsec}\left(\frac{a}{x}\right)}{3 a^{3}}+\frac{\left(-1+\frac{a^{2}}{x^{2}}\right) \left(\frac{2 a^{2}}{x^{2}}+1\right) x^{4}}{9 \sqrt{\frac{\left(-1+\frac{a^{2}}{x^{2}}\right) x^{2}}{a^{2}}}\, a^{4}}\right)"," ",0,"-a^3*(-1/3/a^3*x^3*arcsec(a/x)+1/9*(-1+a^2/x^2)*(2*a^2/x^2+1)/((-1+a^2/x^2)*x^2/a^2)^(1/2)/a^4*x^4)","A"
11,1,93,39,0.067000," ","int(x*arcsec(a/x),x)","\frac{x^{2} \mathrm{arcsec}\left(\frac{a}{x}\right)}{2}+\frac{a \sqrt{-1+\frac{a^{2}}{x^{2}}}\, x \arctan \left(\frac{1}{\sqrt{-1+\frac{a^{2}}{x^{2}}}}\right)}{4 \sqrt{\frac{\left(-1+\frac{a^{2}}{x^{2}}\right) x^{2}}{a^{2}}}}-\frac{\left(-1+\frac{a^{2}}{x^{2}}\right) x^{3}}{4 a \sqrt{\frac{\left(-1+\frac{a^{2}}{x^{2}}\right) x^{2}}{a^{2}}}}"," ",0,"1/2*x^2*arcsec(a/x)+1/4*a*(-1+a^2/x^2)^(1/2)/((-1+a^2/x^2)*x^2/a^2)^(1/2)*x*arctan(1/(-1+a^2/x^2)^(1/2))-1/4/a*(-1+a^2/x^2)/((-1+a^2/x^2)*x^2/a^2)^(1/2)*x^3","B"
12,1,51,24,0.060000," ","int(arcsec(a/x),x)","-a \left(-\frac{x \,\mathrm{arcsec}\left(\frac{a}{x}\right)}{a}+\frac{x^{2} \left(-1+\frac{a^{2}}{x^{2}}\right)}{\sqrt{\frac{\left(-1+\frac{a^{2}}{x^{2}}\right) x^{2}}{a^{2}}}\, a^{2}}\right)"," ",0,"-a*(-1/a*x*arcsec(a/x)+1/((-1+a^2/x^2)*x^2/a^2)^(1/2)/a^2*x^2*(-1+a^2/x^2))","B"
13,1,76,75,0.118000," ","int(arcsec(a/x)/x,x)","-\frac{i \mathrm{arcsec}\left(\frac{a}{x}\right)^{2}}{2}+\mathrm{arcsec}\left(\frac{a}{x}\right) \ln \left(1+\left(\frac{x}{a}+i \sqrt{1-\frac{x^{2}}{a^{2}}}\right)^{2}\right)-\frac{i \polylog \left(2, -\left(\frac{x}{a}+i \sqrt{1-\frac{x^{2}}{a^{2}}}\right)^{2}\right)}{2}"," ",0,"-1/2*I*arcsec(a/x)^2+arcsec(a/x)*ln(1+(x/a+I*(1-x^2/a^2)^(1/2))^2)-1/2*I*polylog(2,-(x/a+I*(1-x^2/a^2)^(1/2))^2)","A"
14,1,41,29,0.044000," ","int(arcsec(a/x)/x^2,x)","-\frac{\mathrm{arcsec}\left(\frac{a}{x}\right)}{x}+\frac{\ln \left(\frac{a}{x}+\frac{a \sqrt{1-\frac{x^{2}}{a^{2}}}}{x}\right)}{a}"," ",0,"-arcsec(a/x)/x+1/a*ln(a/x+1/x*a*(1-x^2/a^2)^(1/2))","A"
15,1,54,32,0.056000," ","int(arcsec(a/x)/x^3,x)","-\frac{\frac{a^{2} \mathrm{arcsec}\left(\frac{a}{x}\right)}{2 x^{2}}-\frac{x \left(-1+\frac{a^{2}}{x^{2}}\right)}{2 \sqrt{\frac{\left(-1+\frac{a^{2}}{x^{2}}\right) x^{2}}{a^{2}}}\, a}}{a^{2}}"," ",0,"-1/a^2*(1/2*a^2/x^2*arcsec(a/x)-1/2/((-1+a^2/x^2)*x^2/a^2)^(1/2)/a*x*(-1+a^2/x^2))","A"
16,1,98,50,0.056000," ","int(arcsec(a/x)/x^4,x)","-\frac{\mathrm{arcsec}\left(\frac{a}{x}\right)}{3 x^{3}}+\frac{-1+\frac{a^{2}}{x^{2}}}{6 a^{3} \sqrt{\frac{\left(-1+\frac{a^{2}}{x^{2}}\right) x^{2}}{a^{2}}}}+\frac{\sqrt{-1+\frac{a^{2}}{x^{2}}}\, x \ln \left(\frac{a}{x}+\sqrt{-1+\frac{a^{2}}{x^{2}}}\right)}{6 a^{4} \sqrt{\frac{\left(-1+\frac{a^{2}}{x^{2}}\right) x^{2}}{a^{2}}}}"," ",0,"-1/3*arcsec(a/x)/x^3+1/6/a^3*(-1+a^2/x^2)/((-1+a^2/x^2)*x^2/a^2)^(1/2)+1/6/a^4*(-1+a^2/x^2)^(1/2)/((-1+a^2/x^2)*x^2/a^2)^(1/2)*x*ln(a/x+(-1+a^2/x^2)^(1/2))","A"
17,1,98,97,0.161000," ","int(arcsec(a*x^n)/x,x)","\frac{i \mathrm{arcsec}\left(a \,x^{n}\right)^{2}}{2 n}-\frac{\mathrm{arcsec}\left(a \,x^{n}\right) \ln \left(1+\left(\frac{x^{-n}}{a}+i \sqrt{1-\frac{x^{-2 n}}{a^{2}}}\right)^{2}\right)}{n}+\frac{i \polylog \left(2, -\left(\frac{x^{-n}}{a}+i \sqrt{1-\frac{x^{-2 n}}{a^{2}}}\right)^{2}\right)}{2 n}"," ",0,"1/2*I*arcsec(a*x^n)^2/n-arcsec(a*x^n)*ln(1+(1/a/(x^n)+I*(1-1/a^2/(x^n)^2)^(1/2))^2)/n+1/2*I*polylog(2,-(1/a/(x^n)+I*(1-1/a^2/(x^n)^2)^(1/2))^2)/n","A"
18,1,509,173,0.088000," ","int(x^4*arcsec(b*x+a),x)","\frac{11 \left(-1+\left(b x +a \right)^{2}\right) x^{2} a}{60 b^{3} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}-\frac{29 \left(-1+\left(b x +a \right)^{2}\right) x \,a^{2}}{60 b^{4} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}-\frac{3 \sqrt{-1+\left(b x +a \right)^{2}}\, \ln \left(b x +a +\sqrt{-1+\left(b x +a \right)^{2}}\right)}{40 b^{5} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}+\frac{71 \left(-1+\left(b x +a \right)^{2}\right) a}{120 b^{5} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}+\frac{77 \left(-1+\left(b x +a \right)^{2}\right) a^{3}}{60 b^{5} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}+\frac{x^{5} \mathrm{arcsec}\left(b x +a \right)}{5}-\frac{\left(-1+\left(b x +a \right)^{2}\right) x^{3}}{20 b^{2} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}-\frac{\sqrt{-1+\left(b x +a \right)^{2}}\, a^{5} \arctan \left(\frac{1}{\sqrt{-1+\left(b x +a \right)^{2}}}\right)}{5 b^{5} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}-\frac{\sqrt{-1+\left(b x +a \right)^{2}}\, a^{4} \ln \left(b x +a +\sqrt{-1+\left(b x +a \right)^{2}}\right)}{b^{5} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}-\frac{3 \left(-1+\left(b x +a \right)^{2}\right) x}{40 b^{4} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}-\frac{\sqrt{-1+\left(b x +a \right)^{2}}\, a^{2} \ln \left(b x +a +\sqrt{-1+\left(b x +a \right)^{2}}\right)}{b^{5} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}"," ",0,"11/60/b^3*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*x^2*a-29/60/b^4*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*x*a^2-3/40/b^5*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*ln(b*x+a+(-1+(b*x+a)^2)^(1/2))+71/120/b^5*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a+77/60/b^5*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a^3+1/5*x^5*arcsec(b*x+a)-1/20/b^2*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*x^3-1/5/b^5*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a^5*arctan(1/(-1+(b*x+a)^2)^(1/2))-1/b^5*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a^4*ln(b*x+a+(-1+(b*x+a)^2)^(1/2))-3/40/b^4*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*x-1/b^5*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a^2*ln(b*x+a+(-1+(b*x+a)^2)^(1/2))","B"
19,1,359,135,0.057000," ","int(x^3*arcsec(b*x+a),x)","\frac{x^{4} \mathrm{arcsec}\left(b x +a \right)}{4}-\frac{\left(-1+\left(b x +a \right)^{2}\right) x^{2}}{12 b^{2} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}+\frac{\sqrt{-1+\left(b x +a \right)^{2}}\, a^{4} \arctan \left(\frac{1}{\sqrt{-1+\left(b x +a \right)^{2}}}\right)}{4 b^{4} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}+\frac{\left(-1+\left(b x +a \right)^{2}\right) x a}{3 b^{3} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}+\frac{\sqrt{-1+\left(b x +a \right)^{2}}\, a^{3} \ln \left(b x +a +\sqrt{-1+\left(b x +a \right)^{2}}\right)}{b^{4} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}-\frac{13 \left(-1+\left(b x +a \right)^{2}\right) a^{2}}{12 b^{4} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}+\frac{\sqrt{-1+\left(b x +a \right)^{2}}\, a \ln \left(b x +a +\sqrt{-1+\left(b x +a \right)^{2}}\right)}{2 b^{4} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}-\frac{-1+\left(b x +a \right)^{2}}{6 b^{4} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}"," ",0,"1/4*x^4*arcsec(b*x+a)-1/12/b^2*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*x^2+1/4/b^4*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a^4*arctan(1/(-1+(b*x+a)^2)^(1/2))+1/3/b^3*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*x*a+1/b^4*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a^3*ln(b*x+a+(-1+(b*x+a)^2)^(1/2))-13/12/b^4*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a^2+1/2/b^4*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a*ln(b*x+a+(-1+(b*x+a)^2)^(1/2))-1/6/b^4*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)","B"
20,1,273,100,0.057000," ","int(x^2*arcsec(b*x+a),x)","\frac{x^{3} \mathrm{arcsec}\left(b x +a \right)}{3}-\frac{\sqrt{-1+\left(b x +a \right)^{2}}\, a^{3} \arctan \left(\frac{1}{\sqrt{-1+\left(b x +a \right)^{2}}}\right)}{3 b^{3} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}-\frac{\left(-1+\left(b x +a \right)^{2}\right) x}{6 b^{2} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}-\frac{\sqrt{-1+\left(b x +a \right)^{2}}\, a^{2} \ln \left(b x +a +\sqrt{-1+\left(b x +a \right)^{2}}\right)}{b^{3} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}+\frac{5 \left(-1+\left(b x +a \right)^{2}\right) a}{6 b^{3} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}-\frac{\sqrt{-1+\left(b x +a \right)^{2}}\, \ln \left(b x +a +\sqrt{-1+\left(b x +a \right)^{2}}\right)}{6 b^{3} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}"," ",0,"1/3*x^3*arcsec(b*x+a)-1/3/b^3*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a^3*arctan(1/(-1+(b*x+a)^2)^(1/2))-1/6/b^2*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*x-1/b^3*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a^2*ln(b*x+a+(-1+(b*x+a)^2)^(1/2))+5/6/b^3*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a-1/6/b^3*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*ln(b*x+a+(-1+(b*x+a)^2)^(1/2))","B"
21,1,126,68,0.053000," ","int(x*arcsec(b*x+a),x)","\frac{x^{2} \mathrm{arcsec}\left(b x +a \right)}{2}-\frac{a^{2} \mathrm{arcsec}\left(b x +a \right)}{2 b^{2}}+\frac{\sqrt{-1+\left(b x +a \right)^{2}}\, a \ln \left(b x +a +\sqrt{-1+\left(b x +a \right)^{2}}\right)}{b^{2} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}-\frac{-1+\left(b x +a \right)^{2}}{2 b^{2} \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right)}"," ",0,"1/2*x^2*arcsec(b*x+a)-1/2*a^2*arcsec(b*x+a)/b^2+1/b^2/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*(-1+(b*x+a)^2)^(1/2)*a*ln(b*x+a+(-1+(b*x+a)^2)^(1/2))-1/2/b^2/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*(-1+(b*x+a)^2)","A"
22,1,51,35,0.049000," ","int(arcsec(b*x+a),x)","x \,\mathrm{arcsec}\left(b x +a \right)+\frac{\mathrm{arcsec}\left(b x +a \right) a}{b}-\frac{\ln \left(b x +a +\left(b x +a \right) \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)}{b}"," ",0,"x*arcsec(b*x+a)+1/b*arcsec(b*x+a)*a-1/b*ln(b*x+a+(b*x+a)*(1-1/(b*x+a)^2)^(1/2))","A"
23,1,374,263,0.836000," ","int(arcsec(b*x+a)/x,x)","-\mathrm{arcsec}\left(b x +a \right) \ln \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)-\mathrm{arcsec}\left(b x +a \right) \ln \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)+\mathrm{arcsec}\left(b x +a \right) \ln \left(\frac{-a \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)+\sqrt{-a^{2}+1}+1}{1+\sqrt{-a^{2}+1}}\right)+\mathrm{arcsec}\left(b x +a \right) \ln \left(\frac{a \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)+\sqrt{-a^{2}+1}-1}{-1+\sqrt{-a^{2}+1}}\right)-i \dilog \left(\frac{-a \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)+\sqrt{-a^{2}+1}+1}{1+\sqrt{-a^{2}+1}}\right)-i \dilog \left(\frac{a \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)+\sqrt{-a^{2}+1}-1}{-1+\sqrt{-a^{2}+1}}\right)+i \dilog \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)+i \dilog \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)"," ",0,"-arcsec(b*x+a)*ln(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-arcsec(b*x+a)*ln(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+arcsec(b*x+a)*ln((-a*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))+(-a^2+1)^(1/2)+1)/(1+(-a^2+1)^(1/2)))+arcsec(b*x+a)*ln((a*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))+(-a^2+1)^(1/2)-1)/(-1+(-a^2+1)^(1/2)))-I*dilog((-a*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))+(-a^2+1)^(1/2)+1)/(1+(-a^2+1)^(1/2)))-I*dilog((a*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))+(-a^2+1)^(1/2)-1)/(-1+(-a^2+1)^(1/2)))+I*dilog(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+I*dilog(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))","A"
24,1,154,62,0.061000," ","int(arcsec(b*x+a)/x^2,x)","-\frac{\mathrm{arcsec}\left(b x +a \right)}{x}+\frac{b \sqrt{-1+\left(b x +a \right)^{2}}\, \arctan \left(\frac{1}{\sqrt{-1+\left(b x +a \right)^{2}}}\right)}{\sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) a}-\frac{b \sqrt{-1+\left(b x +a \right)^{2}}\, \ln \left(\frac{2 \sqrt{a^{2}-1}\, \sqrt{-1+\left(b x +a \right)^{2}}+2 a \left(b x +a \right)-2}{b x}\right)}{\sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) a \sqrt{a^{2}-1}}"," ",0,"-arcsec(b*x+a)/x+b*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)/a*arctan(1/(-1+(b*x+a)^2)^(1/2))-b*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)/a/(a^2-1)^(1/2)*ln(2*((a^2-1)^(1/2)*(-1+(b*x+a)^2)^(1/2)+a*(b*x+a)-1)/b/x)","B"
25,1,452,109,0.064000," ","int(arcsec(b*x+a)/x^3,x)","-\frac{\mathrm{arcsec}\left(b x +a \right)}{2 x^{2}}-\frac{b^{2} \sqrt{-1+\left(b x +a \right)^{2}}\, \arctan \left(\frac{1}{\sqrt{-1+\left(b x +a \right)^{2}}}\right)}{2 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) \left(a^{2}-1\right)}+\frac{b^{2} \sqrt{-1+\left(b x +a \right)^{2}}\, a^{2} \ln \left(\frac{2 \sqrt{a^{2}-1}\, \sqrt{-1+\left(b x +a \right)^{2}}+2 a \left(b x +a \right)-2}{b x}\right)}{\sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) \left(a^{2}-1\right)^{\frac{5}{2}}}+\frac{b^{2} \sqrt{-1+\left(b x +a \right)^{2}}\, \arctan \left(\frac{1}{\sqrt{-1+\left(b x +a \right)^{2}}}\right)}{2 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) a^{2} \left(a^{2}-1\right)}-\frac{b \left(-1+\left(b x +a \right)^{2}\right)}{2 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) a \left(a^{2}-1\right) x}-\frac{3 b^{2} \sqrt{-1+\left(b x +a \right)^{2}}\, \ln \left(\frac{2 \sqrt{a^{2}-1}\, \sqrt{-1+\left(b x +a \right)^{2}}+2 a \left(b x +a \right)-2}{b x}\right)}{2 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) \left(a^{2}-1\right)^{\frac{5}{2}}}+\frac{b^{2} \sqrt{-1+\left(b x +a \right)^{2}}\, \ln \left(\frac{2 \sqrt{a^{2}-1}\, \sqrt{-1+\left(b x +a \right)^{2}}+2 a \left(b x +a \right)-2}{b x}\right)}{2 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) a^{2} \left(a^{2}-1\right)^{\frac{5}{2}}}"," ",0,"-1/2*arcsec(b*x+a)/x^2-1/2*b^2*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)/(a^2-1)*arctan(1/(-1+(b*x+a)^2)^(1/2))+b^2*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a^2/(a^2-1)^(5/2)*ln(2*((a^2-1)^(1/2)*(-1+(b*x+a)^2)^(1/2)+a*(b*x+a)-1)/b/x)+1/2*b^2*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)/a^2/(a^2-1)*arctan(1/(-1+(b*x+a)^2)^(1/2))-1/2*b*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)/a/(a^2-1)/x-3/2*b^2*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)/(a^2-1)^(5/2)*ln(2*((a^2-1)^(1/2)*(-1+(b*x+a)^2)^(1/2)+a*(b*x+a)-1)/b/x)+1/2*b^2*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)/a^2/(a^2-1)^(5/2)*ln(2*((a^2-1)^(1/2)*(-1+(b*x+a)^2)^(1/2)+a*(b*x+a)-1)/b/x)","B"
26,1,760,159,0.069000," ","int(arcsec(b*x+a)/x^4,x)","-\frac{\mathrm{arcsec}\left(b x +a \right)}{3 x^{3}}+\frac{b^{3} \sqrt{-1+\left(b x +a \right)^{2}}\, a \arctan \left(\frac{1}{\sqrt{-1+\left(b x +a \right)^{2}}}\right)}{3 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) \left(a^{2}-1\right)^{2}}-\frac{b^{3} \sqrt{-1+\left(b x +a \right)^{2}}\, a^{3} \ln \left(\frac{2 \sqrt{a^{2}-1}\, \sqrt{-1+\left(b x +a \right)^{2}}+2 a \left(b x +a \right)-2}{b x}\right)}{\sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) \left(a^{2}-1\right)^{\frac{7}{2}}}-\frac{2 b^{3} \sqrt{-1+\left(b x +a \right)^{2}}\, \arctan \left(\frac{1}{\sqrt{-1+\left(b x +a \right)^{2}}}\right)}{3 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) a \left(a^{2}-1\right)^{2}}+\frac{5 b^{2} \left(-1+\left(b x +a \right)^{2}\right)}{6 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) \left(a^{2}-1\right)^{2} x}+\frac{11 b^{3} \sqrt{-1+\left(b x +a \right)^{2}}\, a \ln \left(\frac{2 \sqrt{a^{2}-1}\, \sqrt{-1+\left(b x +a \right)^{2}}+2 a \left(b x +a \right)-2}{b x}\right)}{6 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) \left(a^{2}-1\right)^{\frac{7}{2}}}-\frac{b \left(-1+\left(b x +a \right)^{2}\right) a}{6 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) \left(a^{2}-1\right)^{2} x^{2}}+\frac{b^{3} \sqrt{-1+\left(b x +a \right)^{2}}\, \arctan \left(\frac{1}{\sqrt{-1+\left(b x +a \right)^{2}}}\right)}{3 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) a^{3} \left(a^{2}-1\right)^{2}}-\frac{b^{2} \left(-1+\left(b x +a \right)^{2}\right)}{3 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) a^{2} \left(a^{2}-1\right)^{2} x}-\frac{7 b^{3} \sqrt{-1+\left(b x +a \right)^{2}}\, \ln \left(\frac{2 \sqrt{a^{2}-1}\, \sqrt{-1+\left(b x +a \right)^{2}}+2 a \left(b x +a \right)-2}{b x}\right)}{6 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) a \left(a^{2}-1\right)^{\frac{7}{2}}}+\frac{b \left(-1+\left(b x +a \right)^{2}\right)}{6 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) a \left(a^{2}-1\right)^{2} x^{2}}+\frac{b^{3} \sqrt{-1+\left(b x +a \right)^{2}}\, \ln \left(\frac{2 \sqrt{a^{2}-1}\, \sqrt{-1+\left(b x +a \right)^{2}}+2 a \left(b x +a \right)-2}{b x}\right)}{3 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \left(b x +a \right) a^{3} \left(a^{2}-1\right)^{\frac{7}{2}}}"," ",0,"-1/3*arcsec(b*x+a)/x^3+1/3*b^3*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a/(a^2-1)^2*arctan(1/(-1+(b*x+a)^2)^(1/2))-b^3*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a^3/(a^2-1)^(7/2)*ln(2*((a^2-1)^(1/2)*(-1+(b*x+a)^2)^(1/2)+a*(b*x+a)-1)/b/x)-2/3*b^3*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)/a/(a^2-1)^2*arctan(1/(-1+(b*x+a)^2)^(1/2))+5/6*b^2*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)/(a^2-1)^2/x+11/6*b^3*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a/(a^2-1)^(7/2)*ln(2*((a^2-1)^(1/2)*(-1+(b*x+a)^2)^(1/2)+a*(b*x+a)-1)/b/x)-1/6*b*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)*a/(a^2-1)^2/x^2+1/3*b^3*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)/a^3/(a^2-1)^2*arctan(1/(-1+(b*x+a)^2)^(1/2))-1/3*b^2*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)/a^2/(a^2-1)^2/x-7/6*b^3*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)/a/(a^2-1)^(7/2)*ln(2*((a^2-1)^(1/2)*(-1+(b*x+a)^2)^(1/2)+a*(b*x+a)-1)/b/x)+1/6*b*(-1+(b*x+a)^2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)/a/(a^2-1)^2/x^2+1/3*b^3*(-1+(b*x+a)^2)^(1/2)/((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)/(b*x+a)/a^3/(a^2-1)^(7/2)*ln(2*((a^2-1)^(1/2)*(-1+(b*x+a)^2)^(1/2)+a*(b*x+a)-1)/b/x)","B"
27,1,734,423,4.002000," ","int(x^3*arcsec(b*x+a)^2,x)","\frac{x^{4} \mathrm{arcsec}\left(b x +a \right)^{2}}{4}-\frac{a^{4} \mathrm{arcsec}\left(b x +a \right)^{2}}{4 b^{4}}-\frac{5 a x}{6 b^{3}}-\frac{\ln \left(1+\left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)^{2}\right)}{3 b^{4}}+\frac{2 \ln \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)}{3 b^{4}}-\frac{3 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right) x \,a^{2}}{2 b^{3}}-\frac{11 a^{2}}{12 b^{4}}+\frac{x^{2}}{12 b^{2}}-\frac{13 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right) a^{3}}{6 b^{4}}-\frac{\sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right) a}{3 b^{4}}-\frac{\sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right) x^{3}}{6 b}-\frac{\sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right) x}{3 b^{3}}+\frac{a \,\mathrm{arcsec}\left(b x +a \right) \ln \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{4}}-\frac{2 a^{3} \mathrm{arcsec}\left(b x +a \right) \ln \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{4}}+\frac{2 a^{3} \mathrm{arcsec}\left(b x +a \right) \ln \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{4}}-\frac{a \,\mathrm{arcsec}\left(b x +a \right) \ln \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{4}}-\frac{3 i \mathrm{arcsec}\left(b x +a \right) a^{2}}{b^{4}}+\frac{i a \dilog \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{4}}+\frac{2 i a^{3} \dilog \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{4}}-\frac{2 i a^{3} \dilog \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{4}}-\frac{i a \dilog \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{4}}+\frac{6 a^{2} \ln \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)}{b^{4}}-\frac{3 a^{2} \ln \left(1+\left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)^{2}\right)}{b^{4}}-\frac{i \mathrm{arcsec}\left(b x +a \right)}{3 b^{4}}+\frac{\sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right) x^{2} a}{2 b^{2}}"," ",0,"1/4*x^4*arcsec(b*x+a)^2-1/4*a^4*arcsec(b*x+a)^2/b^4-5/6*a*x/b^3+6/b^4*a^2*ln(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))-3/b^4*a^2*ln(1+(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))^2)-1/3*I/b^4*arcsec(b*x+a)-3/2/b^3*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)*x*a^2-11/12/b^4*a^2+1/12/b^2*x^2-1/3/b^4*ln(1+(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))^2)+2/3/b^4*ln(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))+1/b^4*a*arcsec(b*x+a)*ln(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-2/b^4*a^3*arcsec(b*x+a)*ln(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+2/b^4*a^3*arcsec(b*x+a)*ln(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-1/b^4*a*arcsec(b*x+a)*ln(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-13/6/b^4*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)*a^3+I/b^4*a*dilog(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-1/3/b^4*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)*a-1/6/b*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)*x^3-1/3/b^3*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)*x-3*I/b^4*arcsec(b*x+a)*a^2+2*I/b^4*a^3*dilog(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-2*I/b^4*a^3*dilog(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-I/b^4*a*dilog(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+1/2/b^2*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)*x^2*a","A"
28,1,540,332,1.686000," ","int(x^2*arcsec(b*x+a)^2,x)","-\frac{\sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right) x^{2}}{3 b}+\frac{4 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right) x a}{3 b^{2}}+\frac{x^{3} \mathrm{arcsec}\left(b x +a \right)^{2}}{3}+\frac{5 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right) a^{2}}{3 b^{3}}+\frac{i \dilog \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{3 b^{3}}+\frac{2 a^{2} \mathrm{arcsec}\left(b x +a \right) \ln \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{3}}-\frac{2 a^{2} \mathrm{arcsec}\left(b x +a \right) \ln \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{3}}-\frac{i \dilog \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{3 b^{3}}+\frac{2 i a \,\mathrm{arcsec}\left(b x +a \right)}{b^{3}}+\frac{2 i a^{2} \dilog \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{3}}-\frac{\mathrm{arcsec}\left(b x +a \right) \ln \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{3 b^{3}}+\frac{\mathrm{arcsec}\left(b x +a \right) \ln \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{3 b^{3}}+\frac{a^{3} \mathrm{arcsec}\left(b x +a \right)^{2}}{3 b^{3}}-\frac{2 i a^{2} \dilog \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{3}}+\frac{2 a \ln \left(1+\left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)^{2}\right)}{b^{3}}-\frac{4 \ln \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right) a}{b^{3}}+\frac{a}{3 b^{3}}+\frac{x}{3 b^{2}}"," ",0,"-1/3/b*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)*x^2+4/3/b^2*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)*x*a+1/3*x^3*arcsec(b*x+a)^2+5/3/b^3*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)*a^2-2*I/b^3*a^2*dilog(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+2/b^3*a^2*arcsec(b*x+a)*ln(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-2/b^3*a^2*arcsec(b*x+a)*ln(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+2*I/b^3*a*arcsec(b*x+a)+1/3*I/b^3*dilog(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+2*I/b^3*a^2*dilog(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-1/3/b^3*arcsec(b*x+a)*ln(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+1/3/b^3*arcsec(b*x+a)*ln(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+1/3*a^3*arcsec(b*x+a)^2/b^3-1/3*I/b^3*dilog(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+2/b^3*a*ln(1+(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))^2)-4/b^3*ln(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))*a+1/3/b^3*a+1/3*x/b^2","A"
29,1,264,179,0.330000," ","int(x*arcsec(b*x+a)^2,x)","-\frac{a^{2} \mathrm{arcsec}\left(b x +a \right)^{2}}{2 b^{2}}-\frac{2 a \,\mathrm{arcsec}\left(b x +a \right) \ln \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{2}}+\frac{2 a \,\mathrm{arcsec}\left(b x +a \right) \ln \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{2}}+\frac{2 i a \dilog \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{2}}-\frac{2 i a \dilog \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{2}}+\frac{x^{2} \mathrm{arcsec}\left(b x +a \right)^{2}}{2}-\frac{\sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right) x}{b}-\frac{\sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right) a}{b^{2}}-\frac{\ln \left(\frac{1}{b x +a}\right)}{b^{2}}"," ",0,"-1/2*a^2*arcsec(b*x+a)^2/b^2-2/b^2*a*arcsec(b*x+a)*ln(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+2/b^2*a*arcsec(b*x+a)*ln(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+2*I/b^2*a*dilog(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-2*I/b^2*a*dilog(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+1/2*x^2*arcsec(b*x+a)^2-1/b*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)*x-1/b^2*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)*a-1/b^2*ln(1/(b*x+a))","A"
30,1,179,125,0.282000," ","int(arcsec(b*x+a)^2,x)","x \mathrm{arcsec}\left(b x +a \right)^{2}+\frac{\mathrm{arcsec}\left(b x +a \right)^{2} a}{b}+\frac{2 \,\mathrm{arcsec}\left(b x +a \right) \ln \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b}-\frac{2 \,\mathrm{arcsec}\left(b x +a \right) \ln \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b}+\frac{2 i \dilog \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b}-\frac{2 i \dilog \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b}"," ",0,"x*arcsec(b*x+a)^2+1/b*arcsec(b*x+a)^2*a+2/b*arcsec(b*x+a)*ln(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-2/b*arcsec(b*x+a)*ln(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+2*I/b*dilog(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-2*I/b*dilog(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))","A"
31,0,0,407,1.450000," ","int(arcsec(b*x+a)^2/x,x)","\int \frac{\mathrm{arcsec}\left(b x +a \right)^{2}}{x}\, dx"," ",0,"int(arcsec(b*x+a)^2/x,x)","F"
32,1,341,274,0.844000," ","int(arcsec(b*x+a)^2/x^2,x)","-\frac{b \mathrm{arcsec}\left(b x +a \right)^{2}}{a}-\frac{\mathrm{arcsec}\left(b x +a \right)^{2}}{x}-\frac{2 i b \sqrt{-a^{2}+1}\, \mathrm{arcsec}\left(b x +a \right) \ln \left(\frac{-a \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)+\sqrt{-a^{2}+1}+1}{1+\sqrt{-a^{2}+1}}\right)}{a \left(a^{2}-1\right)}+\frac{2 i b \sqrt{-a^{2}+1}\, \mathrm{arcsec}\left(b x +a \right) \ln \left(\frac{a \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)+\sqrt{-a^{2}+1}-1}{-1+\sqrt{-a^{2}+1}}\right)}{a \left(a^{2}-1\right)}-\frac{2 b \sqrt{-a^{2}+1}\, \dilog \left(\frac{-a \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)+\sqrt{-a^{2}+1}+1}{1+\sqrt{-a^{2}+1}}\right)}{a \left(a^{2}-1\right)}+\frac{2 b \sqrt{-a^{2}+1}\, \dilog \left(\frac{a \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)+\sqrt{-a^{2}+1}-1}{-1+\sqrt{-a^{2}+1}}\right)}{a \left(a^{2}-1\right)}"," ",0,"-b*arcsec(b*x+a)^2/a-arcsec(b*x+a)^2/x-2*I*b*(-a^2+1)^(1/2)/a/(a^2-1)*arcsec(b*x+a)*ln((-a*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))+(-a^2+1)^(1/2)+1)/(1+(-a^2+1)^(1/2)))+2*I*b*(-a^2+1)^(1/2)/a/(a^2-1)*arcsec(b*x+a)*ln((a*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))+(-a^2+1)^(1/2)-1)/(-1+(-a^2+1)^(1/2)))-2*b*(-a^2+1)^(1/2)/a/(a^2-1)*dilog((-a*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))+(-a^2+1)^(1/2)+1)/(1+(-a^2+1)^(1/2)))+2*b*(-a^2+1)^(1/2)/a/(a^2-1)*dilog((a*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))+(-a^2+1)^(1/2)-1)/(-1+(-a^2+1)^(1/2)))","A"
33,1,770,614,1.789000," ","int(x^2*arcsec(b*x+a)^3,x)","\frac{x^{3} \mathrm{arcsec}\left(b x +a \right)^{3}}{3}-\frac{\sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right)^{2} x^{2}}{2 b}+\frac{2 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right)^{2} x a}{b^{2}}+\frac{a^{3} \mathrm{arcsec}\left(b x +a \right)^{3}}{3 b^{3}}+\frac{5 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right)^{2} a^{2}}{2 b^{3}}-\frac{3 i a \mathrm{arcsec}\left(b x +a \right)^{2}}{b^{3}}+\frac{\mathrm{arcsec}\left(b x +a \right) x}{b^{2}}+\frac{\mathrm{arcsec}\left(b x +a \right) a}{b^{3}}+\frac{2 i \arctan \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)}{b^{3}}-\frac{3 a^{2} \mathrm{arcsec}\left(b x +a \right)^{2} \ln \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{3}}-\frac{i \mathrm{arcsec}\left(b x +a \right) \polylog \left(2, -i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{3}}-\frac{6 a^{2} \polylog \left(3, i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{3}}+\frac{i \mathrm{arcsec}\left(b x +a \right) \polylog \left(2, i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{3}}+\frac{3 a^{2} \mathrm{arcsec}\left(b x +a \right)^{2} \ln \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{3}}+\frac{6 a^{2} \polylog \left(3, -i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{3}}+\frac{6 a \,\mathrm{arcsec}\left(b x +a \right) \ln \left(1+\left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)^{2}\right)}{b^{3}}-\frac{3 i a \polylog \left(2, -\left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)^{2}\right)}{b^{3}}-\frac{6 i a^{2} \mathrm{arcsec}\left(b x +a \right) \polylog \left(2, -i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{3}}-\frac{\mathrm{arcsec}\left(b x +a \right)^{2} \ln \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{2 b^{3}}+\frac{6 i a^{2} \mathrm{arcsec}\left(b x +a \right) \polylog \left(2, i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{3}}-\frac{\polylog \left(3, i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{3}}+\frac{\mathrm{arcsec}\left(b x +a \right)^{2} \ln \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{2 b^{3}}+\frac{\polylog \left(3, -i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{3}}"," ",0,"1/3*x^3*arcsec(b*x+a)^3-1/2/b*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)^2*x^2+2/b^2*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)^2*x*a+1/3*a^3*arcsec(b*x+a)^3/b^3+5/2/b^3*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)^2*a^2-3*I*a*arcsec(b*x+a)^2/b^3+1/b^2*arcsec(b*x+a)*x+1/b^3*arcsec(b*x+a)*a-6*I*a^2*arcsec(b*x+a)*polylog(2,-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))/b^3-3/b^3*a^2*arcsec(b*x+a)^2*ln(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-3*I*a*polylog(2,-(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))^2)/b^3-6*a^2*polylog(3,I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))/b^3+6*I*a^2*arcsec(b*x+a)*polylog(2,I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))/b^3+3/b^3*a^2*arcsec(b*x+a)^2*ln(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+6*a^2*polylog(3,-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))/b^3+6*a*arcsec(b*x+a)*ln(1+(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))^2)/b^3+I*arcsec(b*x+a)*polylog(2,I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))/b^3+2*I/b^3*arctan(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))-1/2/b^3*arcsec(b*x+a)^2*ln(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-I*arcsec(b*x+a)*polylog(2,-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))/b^3-polylog(3,I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))/b^3+1/2/b^3*arcsec(b*x+a)^2*ln(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))+polylog(3,-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))/b^3","A"
34,1,429,345,1.532000," ","int(x*arcsec(b*x+a)^3,x)","\frac{x^{2} \mathrm{arcsec}\left(b x +a \right)^{3}}{2}-\frac{3 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right)^{2} x}{2 b}-\frac{a^{2} \mathrm{arcsec}\left(b x +a \right)^{3}}{2 b^{2}}-\frac{3 \sqrt{\frac{-1+\left(b x +a \right)^{2}}{\left(b x +a \right)^{2}}}\, \mathrm{arcsec}\left(b x +a \right)^{2} a}{2 b^{2}}+\frac{3 i \mathrm{arcsec}\left(b x +a \right)^{2}}{2 b^{2}}+\frac{3 a \mathrm{arcsec}\left(b x +a \right)^{2} \ln \left(1-i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{2}}-\frac{6 i a \,\mathrm{arcsec}\left(b x +a \right) \polylog \left(2, i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{2}}+\frac{6 a \polylog \left(3, i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{2}}+\frac{6 i a \,\mathrm{arcsec}\left(b x +a \right) \polylog \left(2, -i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{2}}-\frac{3 a \mathrm{arcsec}\left(b x +a \right)^{2} \ln \left(1+i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{2}}-\frac{6 a \polylog \left(3, -i \left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)\right)}{b^{2}}-\frac{3 \,\mathrm{arcsec}\left(b x +a \right) \ln \left(1+\left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)^{2}\right)}{b^{2}}+\frac{3 i \polylog \left(2, -\left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)^{2}\right)}{2 b^{2}}"," ",0,"1/2*x^2*arcsec(b*x+a)^3-3/2/b*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)^2*x-1/2*a^2*arcsec(b*x+a)^3/b^2-3/2/b^2*((-1+(b*x+a)^2)/(b*x+a)^2)^(1/2)*arcsec(b*x+a)^2*a+3/2*I*arcsec(b*x+a)^2/b^2+3/b^2*a*arcsec(b*x+a)^2*ln(1-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-6*I*a*arcsec(b*x+a)*polylog(2,I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))/b^2+6*a*polylog(3,I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))/b^2+6*I*a*arcsec(b*x+a)*polylog(2,-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))/b^2-3/b^2*a*arcsec(b*x+a)^2*ln(1+I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))-6*a*polylog(3,-I*(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2)))/b^2-3*arcsec(b*x+a)*ln(1+(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))^2)/b^2+3/2*I*polylog(2,-(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))^2)/b^2","A"
35,0,0,207,0.620000," ","int(arcsec(b*x+a)^3,x)","\int \mathrm{arcsec}\left(b x +a \right)^{3}\, dx"," ",0,"int(arcsec(b*x+a)^3,x)","F"
36,0,0,554,1.563000," ","int(arcsec(b*x+a)^3/x,x)","\int \frac{\mathrm{arcsec}\left(b x +a \right)^{3}}{x}\, dx"," ",0,"int(arcsec(b*x+a)^3/x,x)","F"
37,0,0,406,1.441000," ","int(arcsec(b*x+a)^3/x^2,x)","\int \frac{\mathrm{arcsec}\left(b x +a \right)^{3}}{x^{2}}\, dx"," ",0,"int(arcsec(b*x+a)^3/x^2,x)","F"
38,1,81,50,0.103000," ","int(x*(a+b*arcsec(d*x^2+c)),x)","\frac{\mathrm{arcsec}\left(d \,x^{2}+c \right) x^{2} b}{2}+\frac{a \,x^{2}}{2}+\frac{\mathrm{arcsec}\left(d \,x^{2}+c \right) b c}{2 d}-\frac{\ln \left(d \,x^{2}+c +\left(d \,x^{2}+c \right) \sqrt{1-\frac{1}{\left(d \,x^{2}+c \right)^{2}}}\right) b}{2 d}+\frac{a c}{2 d}"," ",0,"1/2*arcsec(d*x^2+c)*x^2*b+1/2*a*x^2+1/2/d*arcsec(d*x^2+c)*b*c-1/2/d*ln(d*x^2+c+(d*x^2+c)*(1-1/(d*x^2+c)^2)^(1/2))*b+1/2/d*a*c","A"
39,1,81,50,0.101000," ","int(x^2*(a+b*arcsec(d*x^3+c)),x)","\frac{\mathrm{arcsec}\left(d \,x^{3}+c \right) x^{3} b}{3}+\frac{x^{3} a}{3}+\frac{\mathrm{arcsec}\left(d \,x^{3}+c \right) b c}{3 d}-\frac{\ln \left(d \,x^{3}+c +\left(d \,x^{3}+c \right) \sqrt{1-\frac{1}{\left(d \,x^{3}+c \right)^{2}}}\right) b}{3 d}+\frac{a c}{3 d}"," ",0,"1/3*arcsec(d*x^3+c)*x^3*b+1/3*x^3*a+1/3/d*arcsec(d*x^3+c)*b*c-1/3/d*ln(d*x^3+c+(d*x^3+c)*(1-1/(d*x^3+c)^2)^(1/2))*b+1/3/d*a*c","A"
40,1,81,50,0.101000," ","int(x^3*(a+b*arcsec(d*x^4+c)),x)","\frac{\mathrm{arcsec}\left(d \,x^{4}+c \right) x^{4} b}{4}+\frac{x^{4} a}{4}+\frac{\mathrm{arcsec}\left(d \,x^{4}+c \right) b c}{4 d}-\frac{\ln \left(d \,x^{4}+c +\left(d \,x^{4}+c \right) \sqrt{1-\frac{1}{\left(d \,x^{4}+c \right)^{2}}}\right) b}{4 d}+\frac{a c}{4 d}"," ",0,"1/4*arcsec(d*x^4+c)*x^4*b+1/4*x^4*a+1/4/d*arcsec(d*x^4+c)*b*c-1/4/d*ln(d*x^4+c+(d*x^4+c)*(1-1/(d*x^4+c)^2)^(1/2))*b+1/4/d*a*c","A"
41,0,0,47,0.156000," ","int(x^(n-1)*arcsec(a+b*x^n),x)","\int x^{n -1} \mathrm{arcsec}\left(a +b \,x^{n}\right)\, dx"," ",0,"int(x^(n-1)*arcsec(a+b*x^n),x)","F"
42,1,116,115,0.168000," ","int(arcsec(c*exp(b*x+a)),x)","\frac{i \mathrm{arcsec}\left(c \,{\mathrm e}^{b x +a}\right)^{2}}{2 b}-\frac{\mathrm{arcsec}\left(c \,{\mathrm e}^{b x +a}\right) \ln \left(1+\left(\frac{{\mathrm e}^{-b x -a}}{c}+i \sqrt{1-\frac{{\mathrm e}^{-2 b x -2 a}}{c^{2}}}\right)^{2}\right)}{b}+\frac{i \polylog \left(2, -\left(\frac{{\mathrm e}^{-b x -a}}{c}+i \sqrt{1-\frac{{\mathrm e}^{-2 b x -2 a}}{c^{2}}}\right)^{2}\right)}{2 b}"," ",0,"1/2*I*arcsec(c*exp(b*x+a))^2/b-arcsec(c*exp(b*x+a))*ln(1+(1/c/exp(b*x+a)+I*(1-1/c^2/exp(b*x+a)^2)^(1/2))^2)/b+1/2*I*polylog(2,-(1/c/exp(b*x+a)+I*(1-1/c^2/exp(b*x+a)^2)^(1/2))^2)/b","A"
43,0,0,107,0.054000," ","int(exp(arcsec(a*x))*x^2,x)","\int {\mathrm e}^{\mathrm{arcsec}\left(a x \right)} x^{2}\, dx"," ",0,"int(exp(arcsec(a*x))*x^2,x)","F"
44,0,0,107,0.051000," ","int(exp(arcsec(a*x))*x,x)","\int {\mathrm e}^{\mathrm{arcsec}\left(a x \right)} x\, dx"," ",0,"int(exp(arcsec(a*x))*x,x)","F"
45,0,0,107,0.049000," ","int(exp(arcsec(a*x)),x)","\int {\mathrm e}^{\mathrm{arcsec}\left(a x \right)}\, dx"," ",0,"int(exp(arcsec(a*x)),x)","F"
46,0,0,53,0.050000," ","int(exp(arcsec(a*x))/x,x)","\int \frac{{\mathrm e}^{\mathrm{arcsec}\left(a x \right)}}{x}\, dx"," ",0,"int(exp(arcsec(a*x))/x,x)","F"
47,0,0,31,0.051000," ","int(exp(arcsec(a*x))/x^2,x)","\int \frac{{\mathrm e}^{\mathrm{arcsec}\left(a x \right)}}{x^{2}}\, dx"," ",0,"int(exp(arcsec(a*x))/x^2,x)","F"
48,0,0,35,0.053000," ","int(exp(arcsec(a*x))/x^3,x)","\int \frac{{\mathrm e}^{\mathrm{arcsec}\left(a x \right)}}{x^{3}}\, dx"," ",0,"int(exp(arcsec(a*x))/x^3,x)","F"
49,0,0,70,0.051000," ","int(exp(arcsec(a*x))/x^4,x)","\int \frac{{\mathrm e}^{\mathrm{arcsec}\left(a x \right)}}{x^{4}}\, dx"," ",0,"int(exp(arcsec(a*x))/x^4,x)","F"
50,1,92,91,0.351000," ","int(arcsec(b*x+a)/(a*d/b+d*x),x)","\frac{i \mathrm{arcsec}\left(b x +a \right)^{2}}{2 d}-\frac{\mathrm{arcsec}\left(b x +a \right) \ln \left(1+\left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)^{2}\right)}{d}+\frac{i \polylog \left(2, -\left(\frac{1}{b x +a}+i \sqrt{1-\frac{1}{\left(b x +a \right)^{2}}}\right)^{2}\right)}{2 d}"," ",0,"1/2*I*arcsec(b*x+a)^2/d-arcsec(b*x+a)*ln(1+(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))^2)/d+1/2*I*polylog(2,-(1/(b*x+a)+I*(1-1/(b*x+a)^2)^(1/2))^2)/d","A"