1,0,0,0,0.000000," ","integrate(x^5*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""maxima"")","\frac{1}{12} \, x^{6} \log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right) - \frac{1}{12} \, x^{6} \log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right) - \frac{1}{2} \, d \sqrt{e} \int -\frac{\sqrt{e x^{2} + d} x^{6}}{3 \, {\left(e^{2} x^{4} + d e x^{2} - {\left(e x^{2} + d\right)}^{2}\right)}}\,{d x}"," ",0,"1/12*x^6*log(sqrt(e)*x + sqrt(e*x^2 + d)) - 1/12*x^6*log(-sqrt(e)*x + sqrt(e*x^2 + d)) - 1/2*d*sqrt(e)*integrate(-1/3*sqrt(e*x^2 + d)*x^6/(e^2*x^4 + d*e*x^2 - (e*x^2 + d)^2), x)","F",0
2,0,0,0,0.000000," ","integrate(x^3*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""maxima"")","\frac{1}{8} \, x^{4} \log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right) - \frac{1}{8} \, x^{4} \log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right) - \frac{1}{2} \, d \sqrt{e} \int -\frac{\sqrt{e x^{2} + d} x^{4}}{2 \, {\left(e^{2} x^{4} + d e x^{2} - {\left(e x^{2} + d\right)}^{2}\right)}}\,{d x}"," ",0,"1/8*x^4*log(sqrt(e)*x + sqrt(e*x^2 + d)) - 1/8*x^4*log(-sqrt(e)*x + sqrt(e*x^2 + d)) - 1/2*d*sqrt(e)*integrate(-1/2*sqrt(e*x^2 + d)*x^4/(e^2*x^4 + d*e*x^2 - (e*x^2 + d)^2), x)","F",0
3,0,0,0,0.000000," ","integrate(x*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""maxima"")","\frac{1}{4} \, x^{2} \log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right) - \frac{1}{4} \, x^{2} \log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right) - \frac{1}{2} \, d \sqrt{e} \int -\frac{\sqrt{e x^{2} + d} x^{2}}{e^{2} x^{4} + d e x^{2} - {\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"1/4*x^2*log(sqrt(e)*x + sqrt(e*x^2 + d)) - 1/4*x^2*log(-sqrt(e)*x + sqrt(e*x^2 + d)) - 1/2*d*sqrt(e)*integrate(-sqrt(e*x^2 + d)*x^2/(e^2*x^4 + d*e*x^2 - (e*x^2 + d)^2), x)","F",0
4,0,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right)}{x}\,{d x}"," ",0,"integrate(arctanh(sqrt(e)*x/sqrt(e*x^2 + d))/x, x)","F",0
5,1,51,0,0.373364," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^3,x, algorithm=""maxima"")","-\frac{\operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right)}{2 \, x^{2}} - \frac{e^{\frac{3}{2}} x^{2} + d \sqrt{e}}{2 \, \sqrt{e x^{2} + d} d x}"," ",0,"-1/2*arctanh(sqrt(e)*x/sqrt(e*x^2 + d))/x^2 - 1/2*(e^(3/2)*x^2 + d*sqrt(e))/(sqrt(e*x^2 + d)*d*x)","A",0
6,1,61,0,0.345522," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^5,x, algorithm=""maxima"")","\frac{\sqrt{e x^{2} + d} e^{\frac{3}{2}}}{4 \, d^{2} x} - \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} \sqrt{e}}{12 \, d^{2} x^{3}} - \frac{\operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right)}{4 \, x^{4}}"," ",0,"1/4*sqrt(e*x^2 + d)*e^(3/2)/(d^2*x) - 1/12*(e*x^2 + d)^(3/2)*sqrt(e)/(d^2*x^3) - 1/4*arctanh(sqrt(e)*x/sqrt(e*x^2 + d))/x^4","A",0
7,1,102,0,0.341899," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^7,x, algorithm=""maxima"")","-\frac{{\left(2 \, e^{2} x^{4} + d e x^{2} - d^{2}\right)} e^{\frac{3}{2}}}{18 \, \sqrt{e x^{2} + d} d^{3} x^{3}} - \frac{\operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right)}{6 \, x^{6}} + \frac{{\left(2 \, e^{2} x^{4} - d e x^{2} - 3 \, d^{2}\right)} \sqrt{e x^{2} + d} \sqrt{e}}{90 \, d^{3} x^{5}}"," ",0,"-1/18*(2*e^2*x^4 + d*e*x^2 - d^2)*e^(3/2)/(sqrt(e*x^2 + d)*d^3*x^3) - 1/6*arctanh(sqrt(e)*x/sqrt(e*x^2 + d))/x^6 + 1/90*(2*e^2*x^4 - d*e*x^2 - 3*d^2)*sqrt(e*x^2 + d)*sqrt(e)/(d^3*x^5)","A",0
8,1,125,0,0.344759," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^9,x, algorithm=""maxima"")","\frac{{\left(8 \, e^{3} x^{6} + 4 \, d e^{2} x^{4} - d^{2} e x^{2} + 3 \, d^{3}\right)} e^{\frac{3}{2}}}{120 \, \sqrt{e x^{2} + d} d^{4} x^{5}} - \frac{\operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right)}{8 \, x^{8}} - \frac{{\left(8 \, e^{3} x^{6} - 4 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + 15 \, d^{3}\right)} \sqrt{e x^{2} + d} \sqrt{e}}{840 \, d^{4} x^{7}}"," ",0,"1/120*(8*e^3*x^6 + 4*d*e^2*x^4 - d^2*e*x^2 + 3*d^3)*e^(3/2)/(sqrt(e*x^2 + d)*d^4*x^5) - 1/8*arctanh(sqrt(e)*x/sqrt(e*x^2 + d))/x^8 - 1/840*(8*e^3*x^6 - 4*d*e^2*x^4 + 3*d^2*e*x^2 + 15*d^3)*sqrt(e*x^2 + d)*sqrt(e)/(d^4*x^7)","A",0
9,1,155,0,0.336316," ","integrate(x^6*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""maxima"")","\frac{1}{7} \, x^{7} \operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right) - \frac{35 \, {\left(e x^{2} + d\right)}^{\frac{9}{2}} - 135 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} d + 189 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d^{2} - 105 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{3}}{2205 \, d e^{\frac{7}{2}}} + \frac{35 \, {\left(e x^{2} + d\right)}^{\frac{9}{2}} - 180 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} d + 378 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d^{2} - 420 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{3} + 315 \, \sqrt{e x^{2} + d} d^{4}}{2205 \, d e^{\frac{7}{2}}}"," ",0,"1/7*x^7*arctanh(sqrt(e)*x/sqrt(e*x^2 + d)) - 1/2205*(35*(e*x^2 + d)^(9/2) - 135*(e*x^2 + d)^(7/2)*d + 189*(e*x^2 + d)^(5/2)*d^2 - 105*(e*x^2 + d)^(3/2)*d^3)/(d*e^(7/2)) + 1/2205*(35*(e*x^2 + d)^(9/2) - 180*(e*x^2 + d)^(7/2)*d + 378*(e*x^2 + d)^(5/2)*d^2 - 420*(e*x^2 + d)^(3/2)*d^3 + 315*sqrt(e*x^2 + d)*d^4)/(d*e^(7/2))","A",0
10,1,127,0,0.334619," ","integrate(x^4*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""maxima"")","\frac{1}{5} \, x^{5} \operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right) - \frac{15 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} - 42 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d + 35 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{2}}{525 \, d e^{\frac{5}{2}}} + \frac{5 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} - 21 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d + 35 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{2} - 35 \, \sqrt{e x^{2} + d} d^{3}}{175 \, d e^{\frac{5}{2}}}"," ",0,"1/5*x^5*arctanh(sqrt(e)*x/sqrt(e*x^2 + d)) - 1/525*(15*(e*x^2 + d)^(7/2) - 42*(e*x^2 + d)^(5/2)*d + 35*(e*x^2 + d)^(3/2)*d^2)/(d*e^(5/2)) + 1/175*(5*(e*x^2 + d)^(7/2) - 21*(e*x^2 + d)^(5/2)*d + 35*(e*x^2 + d)^(3/2)*d^2 - 35*sqrt(e*x^2 + d)*d^3)/(d*e^(5/2))","A",0
11,1,99,0,0.334772," ","integrate(x^2*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right) - \frac{3 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} - 5 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d}{45 \, d e^{\frac{3}{2}}} + \frac{3 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x^{2} + d} d^{2}}{45 \, d e^{\frac{3}{2}}}"," ",0,"1/3*x^3*arctanh(sqrt(e)*x/sqrt(e*x^2 + d)) - 1/45*(3*(e*x^2 + d)^(5/2) - 5*(e*x^2 + d)^(3/2)*d)/(d*e^(3/2)) + 1/45*(3*(e*x^2 + d)^(5/2) - 10*(e*x^2 + d)^(3/2)*d + 15*sqrt(e*x^2 + d)*d^2)/(d*e^(3/2))","A",0
12,1,65,0,0.341764," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""maxima"")","x \operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right) - \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}{3 \, d \sqrt{e}} + \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{e x^{2} + d} d}{3 \, d \sqrt{e}}"," ",0,"x*arctanh(sqrt(e)*x/sqrt(e*x^2 + d)) - 1/3*(e*x^2 + d)^(3/2)/(d*sqrt(e)) + 1/3*((e*x^2 + d)^(3/2) - 3*sqrt(e*x^2 + d)*d)/(d*sqrt(e))","B",0
13,0,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^2,x, algorithm=""maxima"")","d \sqrt{e} \int -\frac{\sqrt{e x^{2} + d}}{e^{2} x^{5} + d e x^{3} - {\left(e x^{3} + d x\right)} {\left(e x^{2} + d\right)}}\,{d x} - \frac{\log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right) - \log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right)}{2 \, x}"," ",0,"d*sqrt(e)*integrate(-sqrt(e*x^2 + d)/(e^2*x^5 + d*e*x^3 - (e*x^3 + d*x)*(e*x^2 + d)), x) - 1/2*(log(sqrt(e)*x + sqrt(e*x^2 + d)) - log(-sqrt(e)*x + sqrt(e*x^2 + d)))/x","F",0
14,0,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^4,x, algorithm=""maxima"")","d \sqrt{e} \int -\frac{\sqrt{e x^{2} + d}}{3 \, {\left(e^{2} x^{7} + d e x^{5} - {\left(e x^{5} + d x^{3}\right)} {\left(e x^{2} + d\right)}\right)}}\,{d x} - \frac{\log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right) - \log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right)}{6 \, x^{3}}"," ",0,"d*sqrt(e)*integrate(-1/3*sqrt(e*x^2 + d)/(e^2*x^7 + d*e*x^5 - (e*x^5 + d*x^3)*(e*x^2 + d)), x) - 1/6*(log(sqrt(e)*x + sqrt(e*x^2 + d)) - log(-sqrt(e)*x + sqrt(e*x^2 + d)))/x^3","F",0
15,0,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^6,x, algorithm=""maxima"")","d \sqrt{e} \int -\frac{\sqrt{e x^{2} + d}}{5 \, {\left(e^{2} x^{9} + d e x^{7} - {\left(e x^{7} + d x^{5}\right)} {\left(e x^{2} + d\right)}\right)}}\,{d x} - \frac{\log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right) - \log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right)}{10 \, x^{5}}"," ",0,"d*sqrt(e)*integrate(-1/5*sqrt(e*x^2 + d)/(e^2*x^9 + d*e*x^7 - (e*x^7 + d*x^5)*(e*x^2 + d)), x) - 1/10*(log(sqrt(e)*x + sqrt(e*x^2 + d)) - log(-sqrt(e)*x + sqrt(e*x^2 + d)))/x^5","F",0
16,0,0,0,0.000000," ","integrate(x^(9/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""maxima"")","\frac{1}{11} \, x^{\frac{11}{2}} \log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right) - \frac{1}{11} \, x^{\frac{11}{2}} \log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right) - 2 \, d \sqrt{e} \int -\frac{x e^{\left(\frac{1}{2} \, \log\left(e x^{2} + d\right) + \frac{9}{2} \, \log\left(x\right)\right)}}{11 \, {\left(e^{2} x^{4} + d e x^{2} - {\left(e x^{2} + d\right)}^{2}\right)}}\,{d x}"," ",0,"1/11*x^(11/2)*log(sqrt(e)*x + sqrt(e*x^2 + d)) - 1/11*x^(11/2)*log(-sqrt(e)*x + sqrt(e*x^2 + d)) - 2*d*sqrt(e)*integrate(-1/11*x*e^(1/2*log(e*x^2 + d) + 9/2*log(x))/(e^2*x^4 + d*e*x^2 - (e*x^2 + d)^2), x)","F",0
17,0,0,0,0.000000," ","integrate(x^(5/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""maxima"")","\frac{1}{7} \, x^{\frac{7}{2}} \log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right) - \frac{1}{7} \, x^{\frac{7}{2}} \log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right) - 2 \, d \sqrt{e} \int -\frac{x e^{\left(\frac{1}{2} \, \log\left(e x^{2} + d\right) + \frac{5}{2} \, \log\left(x\right)\right)}}{7 \, {\left(e^{2} x^{4} + d e x^{2} - {\left(e x^{2} + d\right)}^{2}\right)}}\,{d x}"," ",0,"1/7*x^(7/2)*log(sqrt(e)*x + sqrt(e*x^2 + d)) - 1/7*x^(7/2)*log(-sqrt(e)*x + sqrt(e*x^2 + d)) - 2*d*sqrt(e)*integrate(-1/7*x*e^(1/2*log(e*x^2 + d) + 5/2*log(x))/(e^2*x^4 + d*e*x^2 - (e*x^2 + d)^2), x)","F",0
18,0,0,0,0.000000," ","integrate(x^(1/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""maxima"")","-2 \, d \sqrt{e} \int -\frac{x e^{\left(\frac{1}{2} \, \log\left(e x^{2} + d\right) + \frac{1}{2} \, \log\left(x\right)\right)}}{3 \, {\left(e^{2} x^{4} + d e x^{2} - {\left(e x^{2} + d\right)}^{2}\right)}}\,{d x} + \frac{1}{3} \, x^{\frac{3}{2}} \log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right) - \frac{1}{3} \, x^{\frac{3}{2}} \log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right)"," ",0,"-2*d*sqrt(e)*integrate(-1/3*x*e^(1/2*log(e*x^2 + d) + 1/2*log(x))/(e^2*x^4 + d*e*x^2 - (e*x^2 + d)^2), x) + 1/3*x^(3/2)*log(sqrt(e)*x + sqrt(e*x^2 + d)) - 1/3*x^(3/2)*log(-sqrt(e)*x + sqrt(e*x^2 + d))","F",0
19,0,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(3/2),x, algorithm=""maxima"")","2 \, d \sqrt{e} \int -\frac{\sqrt{e x^{2} + d} x}{{\left(e^{2} x^{4} + d e x^{2}\right)} x^{\frac{3}{2}} - {\left(e x^{2} + d\right)} e^{\left(\log\left(e x^{2} + d\right) + \frac{3}{2} \, \log\left(x\right)\right)}}\,{d x} - \frac{\log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right)}{\sqrt{x}} + \frac{\log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right)}{\sqrt{x}}"," ",0,"2*d*sqrt(e)*integrate(-sqrt(e*x^2 + d)*x/((e^2*x^4 + d*e*x^2)*x^(3/2) - (e*x^2 + d)*e^(log(e*x^2 + d) + 3/2*log(x))), x) - log(sqrt(e)*x + sqrt(e*x^2 + d))/sqrt(x) + log(-sqrt(e)*x + sqrt(e*x^2 + d))/sqrt(x)","F",0
20,0,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(7/2),x, algorithm=""maxima"")","2 \, d \sqrt{e} \int -\frac{\sqrt{e x^{2} + d} x}{5 \, {\left({\left(e^{2} x^{4} + d e x^{2}\right)} x^{\frac{7}{2}} - {\left(e x^{2} + d\right)} e^{\left(\log\left(e x^{2} + d\right) + \frac{7}{2} \, \log\left(x\right)\right)}\right)}}\,{d x} - \frac{\log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right)}{5 \, x^{\frac{5}{2}}} + \frac{\log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right)}{5 \, x^{\frac{5}{2}}}"," ",0,"2*d*sqrt(e)*integrate(-1/5*sqrt(e*x^2 + d)*x/((e^2*x^4 + d*e*x^2)*x^(7/2) - (e*x^2 + d)*e^(log(e*x^2 + d) + 7/2*log(x))), x) - 1/5*log(sqrt(e)*x + sqrt(e*x^2 + d))/x^(5/2) + 1/5*log(-sqrt(e)*x + sqrt(e*x^2 + d))/x^(5/2)","F",0
21,0,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(11/2),x, algorithm=""maxima"")","2 \, d \sqrt{e} \int -\frac{\sqrt{e x^{2} + d} x}{9 \, {\left({\left(e^{2} x^{4} + d e x^{2}\right)} x^{\frac{11}{2}} - {\left(e x^{2} + d\right)} e^{\left(\log\left(e x^{2} + d\right) + \frac{11}{2} \, \log\left(x\right)\right)}\right)}}\,{d x} - \frac{\log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right)}{9 \, x^{\frac{9}{2}}} + \frac{\log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right)}{9 \, x^{\frac{9}{2}}}"," ",0,"2*d*sqrt(e)*integrate(-1/9*sqrt(e*x^2 + d)*x/((e^2*x^4 + d*e*x^2)*x^(11/2) - (e*x^2 + d)*e^(log(e*x^2 + d) + 11/2*log(x))), x) - 1/9*log(sqrt(e)*x + sqrt(e*x^2 + d))/x^(9/2) + 1/9*log(-sqrt(e)*x + sqrt(e*x^2 + d))/x^(9/2)","F",0
22,0,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(15/2),x, algorithm=""maxima"")","2 \, d \sqrt{e} \int -\frac{\sqrt{e x^{2} + d} x}{13 \, {\left({\left(e^{2} x^{4} + d e x^{2}\right)} x^{\frac{15}{2}} - {\left(e x^{2} + d\right)} e^{\left(\log\left(e x^{2} + d\right) + \frac{15}{2} \, \log\left(x\right)\right)}\right)}}\,{d x} - \frac{\log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right)}{13 \, x^{\frac{13}{2}}} + \frac{\log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right)}{13 \, x^{\frac{13}{2}}}"," ",0,"2*d*sqrt(e)*integrate(-1/13*sqrt(e*x^2 + d)*x/((e^2*x^4 + d*e*x^2)*x^(15/2) - (e*x^2 + d)*e^(log(e*x^2 + d) + 15/2*log(x))), x) - 1/13*log(sqrt(e)*x + sqrt(e*x^2 + d))/x^(13/2) + 1/13*log(-sqrt(e)*x + sqrt(e*x^2 + d))/x^(13/2)","F",0
23,0,0,0,0.000000," ","integrate(x^(7/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""maxima"")","\frac{1}{9} \, x^{\frac{9}{2}} \log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right) - \frac{1}{9} \, x^{\frac{9}{2}} \log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right) - 2 \, d \sqrt{e} \int -\frac{x e^{\left(\frac{1}{2} \, \log\left(e x^{2} + d\right) + \frac{7}{2} \, \log\left(x\right)\right)}}{9 \, {\left(e^{2} x^{4} + d e x^{2} - {\left(e x^{2} + d\right)}^{2}\right)}}\,{d x}"," ",0,"1/9*x^(9/2)*log(sqrt(e)*x + sqrt(e*x^2 + d)) - 1/9*x^(9/2)*log(-sqrt(e)*x + sqrt(e*x^2 + d)) - 2*d*sqrt(e)*integrate(-1/9*x*e^(1/2*log(e*x^2 + d) + 7/2*log(x))/(e^2*x^4 + d*e*x^2 - (e*x^2 + d)^2), x)","F",0
24,0,0,0,0.000000," ","integrate(x^(3/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""maxima"")","\frac{1}{5} \, x^{\frac{5}{2}} \log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right) - \frac{1}{5} \, x^{\frac{5}{2}} \log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right) - 2 \, d \sqrt{e} \int -\frac{x e^{\left(\frac{1}{2} \, \log\left(e x^{2} + d\right) + \frac{3}{2} \, \log\left(x\right)\right)}}{5 \, {\left(e^{2} x^{4} + d e x^{2} - {\left(e x^{2} + d\right)}^{2}\right)}}\,{d x}"," ",0,"1/5*x^(5/2)*log(sqrt(e)*x + sqrt(e*x^2 + d)) - 1/5*x^(5/2)*log(-sqrt(e)*x + sqrt(e*x^2 + d)) - 2*d*sqrt(e)*integrate(-1/5*x*e^(1/2*log(e*x^2 + d) + 3/2*log(x))/(e^2*x^4 + d*e*x^2 - (e*x^2 + d)^2), x)","F",0
25,0,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(1/2),x, algorithm=""maxima"")","-2 \, d \sqrt{e} \int \frac{\sqrt{e x^{2} + d} x}{{\left(e x^{2} + d\right)} e^{\left(\log\left(e x^{2} + d\right) + \frac{1}{2} \, \log\left(x\right)\right)} - {\left(e^{2} x^{4} + d e x^{2}\right)} \sqrt{x}}\,{d x} + \sqrt{x} \log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right) - \sqrt{x} \log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right)"," ",0,"-2*d*sqrt(e)*integrate(sqrt(e*x^2 + d)*x/((e*x^2 + d)*e^(log(e*x^2 + d) + 1/2*log(x)) - (e^2*x^4 + d*e*x^2)*sqrt(x)), x) + sqrt(x)*log(sqrt(e)*x + sqrt(e*x^2 + d)) - sqrt(x)*log(-sqrt(e)*x + sqrt(e*x^2 + d))","F",0
26,0,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(5/2),x, algorithm=""maxima"")","2 \, d \sqrt{e} \int -\frac{\sqrt{e x^{2} + d} x}{3 \, {\left({\left(e^{2} x^{4} + d e x^{2}\right)} x^{\frac{5}{2}} - {\left(e x^{2} + d\right)} e^{\left(\log\left(e x^{2} + d\right) + \frac{5}{2} \, \log\left(x\right)\right)}\right)}}\,{d x} - \frac{\log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right)}{3 \, x^{\frac{3}{2}}} + \frac{\log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right)}{3 \, x^{\frac{3}{2}}}"," ",0,"2*d*sqrt(e)*integrate(-1/3*sqrt(e*x^2 + d)*x/((e^2*x^4 + d*e*x^2)*x^(5/2) - (e*x^2 + d)*e^(log(e*x^2 + d) + 5/2*log(x))), x) - 1/3*log(sqrt(e)*x + sqrt(e*x^2 + d))/x^(3/2) + 1/3*log(-sqrt(e)*x + sqrt(e*x^2 + d))/x^(3/2)","F",0
27,0,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(9/2),x, algorithm=""maxima"")","2 \, d \sqrt{e} \int -\frac{\sqrt{e x^{2} + d} x}{7 \, {\left({\left(e^{2} x^{4} + d e x^{2}\right)} x^{\frac{9}{2}} - {\left(e x^{2} + d\right)} e^{\left(\log\left(e x^{2} + d\right) + \frac{9}{2} \, \log\left(x\right)\right)}\right)}}\,{d x} - \frac{\log\left(\sqrt{e} x + \sqrt{e x^{2} + d}\right)}{7 \, x^{\frac{7}{2}}} + \frac{\log\left(-\sqrt{e} x + \sqrt{e x^{2} + d}\right)}{7 \, x^{\frac{7}{2}}}"," ",0,"2*d*sqrt(e)*integrate(-1/7*sqrt(e*x^2 + d)*x/((e^2*x^4 + d*e*x^2)*x^(9/2) - (e*x^2 + d)*e^(log(e*x^2 + d) + 9/2*log(x))), x) - 1/7*log(sqrt(e)*x + sqrt(e*x^2 + d))/x^(7/2) + 1/7*log(-sqrt(e)*x + sqrt(e*x^2 + d))/x^(7/2)","F",0
28,1,37,0,0.322671," ","integrate(x^3*arctanh(b*x^4+a),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{4} + a\right)} \operatorname{artanh}\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)*arctanh(b*x^4 + a) + log(-(b*x^4 + a)^2 + 1))/b","A",0
29,1,40,0,0.319910," ","integrate(x^(-1+n)*arctanh(a+b*x^n),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{n} + a\right)} \operatorname{artanh}\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)*arctanh(b*x^n + a) + log(-(b*x^n + a)^2 + 1))/(b*n)","A",0
30,0,0,0,0.000000," ","integrate((a+b*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-c^2*x^2+1),x, algorithm=""maxima"")","-\int \frac{{\left(b \operatorname{artanh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{n}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"-integrate((b*arctanh(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^n/(c^2*x^2 - 1), x)","F",0
31,0,0,0,0.000000," ","integrate((a+b*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^3/(-c^2*x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, a^{3} {\left(\frac{\log\left(c x + 1\right)}{c} - \frac{\log\left(c x - 1\right)}{c}\right)} - \frac{{\left(b^{3} \log\left(c x + 1\right) - b^{3} \log\left(-c x + 1\right)\right)} \log\left(\sqrt{c x + 1} - \sqrt{-c x + 1}\right)^{3}}{16 \, c} - \int \frac{4 \, {\left(\sqrt{c x + 1} b^{3} - \sqrt{-c x + 1} b^{3}\right)} \log\left(\sqrt{c x + 1} + \sqrt{-c x + 1}\right)^{3} + 24 \, {\left(\sqrt{c x + 1} a b^{2} - \sqrt{-c x + 1} a b^{2}\right)} \log\left(\sqrt{c x + 1} + \sqrt{-c x + 1}\right)^{2} + 3 \, {\left(4 \, {\left(\sqrt{c x + 1} b^{3} - \sqrt{-c x + 1} b^{3}\right)} \log\left(\sqrt{c x + 1} + \sqrt{-c x + 1}\right) + {\left(8 \, a b^{2} - {\left(b^{3} c x - b^{3}\right)} \log\left(c x + 1\right) + {\left(b^{3} c x - b^{3}\right)} \log\left(-c x + 1\right)\right)} \sqrt{c x + 1} - {\left(8 \, a b^{2} - {\left(b^{3} c x + b^{3}\right)} \log\left(c x + 1\right) + {\left(b^{3} c x + b^{3}\right)} \log\left(-c x + 1\right)\right)} \sqrt{-c x + 1}\right)} \log\left(\sqrt{c x + 1} - \sqrt{-c x + 1}\right)^{2} + 48 \, {\left(\sqrt{c x + 1} a^{2} b - \sqrt{-c x + 1} a^{2} b\right)} \log\left(\sqrt{c x + 1} + \sqrt{-c x + 1}\right) - 12 \, {\left(4 \, \sqrt{c x + 1} a^{2} b - 4 \, \sqrt{-c x + 1} a^{2} b + {\left(\sqrt{c x + 1} b^{3} - \sqrt{-c x + 1} b^{3}\right)} \log\left(\sqrt{c x + 1} + \sqrt{-c x + 1}\right)^{2} + 4 \, {\left(\sqrt{c x + 1} a b^{2} - \sqrt{-c x + 1} a b^{2}\right)} \log\left(\sqrt{c x + 1} + \sqrt{-c x + 1}\right)\right)} \log\left(\sqrt{c x + 1} - \sqrt{-c x + 1}\right)}{32 \, {\left({\left(c^{2} x^{2} - 1\right)} \sqrt{c x + 1} - {\left(c^{2} x^{2} - 1\right)} \sqrt{-c x + 1}\right)}}\,{d x}"," ",0,"1/2*a^3*(log(c*x + 1)/c - log(c*x - 1)/c) - 1/16*(b^3*log(c*x + 1) - b^3*log(-c*x + 1))*log(sqrt(c*x + 1) - sqrt(-c*x + 1))^3/c - integrate(1/32*(4*(sqrt(c*x + 1)*b^3 - sqrt(-c*x + 1)*b^3)*log(sqrt(c*x + 1) + sqrt(-c*x + 1))^3 + 24*(sqrt(c*x + 1)*a*b^2 - sqrt(-c*x + 1)*a*b^2)*log(sqrt(c*x + 1) + sqrt(-c*x + 1))^2 + 3*(4*(sqrt(c*x + 1)*b^3 - sqrt(-c*x + 1)*b^3)*log(sqrt(c*x + 1) + sqrt(-c*x + 1)) + (8*a*b^2 - (b^3*c*x - b^3)*log(c*x + 1) + (b^3*c*x - b^3)*log(-c*x + 1))*sqrt(c*x + 1) - (8*a*b^2 - (b^3*c*x + b^3)*log(c*x + 1) + (b^3*c*x + b^3)*log(-c*x + 1))*sqrt(-c*x + 1))*log(sqrt(c*x + 1) - sqrt(-c*x + 1))^2 + 48*(sqrt(c*x + 1)*a^2*b - sqrt(-c*x + 1)*a^2*b)*log(sqrt(c*x + 1) + sqrt(-c*x + 1)) - 12*(4*sqrt(c*x + 1)*a^2*b - 4*sqrt(-c*x + 1)*a^2*b + (sqrt(c*x + 1)*b^3 - sqrt(-c*x + 1)*b^3)*log(sqrt(c*x + 1) + sqrt(-c*x + 1))^2 + 4*(sqrt(c*x + 1)*a*b^2 - sqrt(-c*x + 1)*a*b^2)*log(sqrt(c*x + 1) + sqrt(-c*x + 1)))*log(sqrt(c*x + 1) - sqrt(-c*x + 1)))/((c^2*x^2 - 1)*sqrt(c*x + 1) - (c^2*x^2 - 1)*sqrt(-c*x + 1)), x)","F",0
32,0,0,0,0.000000," ","integrate((a+b*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2/(-c^2*x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} {\left(\frac{\log\left(c x + 1\right)}{c} - \frac{\log\left(c x - 1\right)}{c}\right)} + \frac{{\left(b^{2} \log\left(c x + 1\right) - b^{2} \log\left(-c x + 1\right)\right)} \log\left(\sqrt{c x + 1} - \sqrt{-c x + 1}\right)^{2}}{8 \, c} + \int -\frac{2 \, {\left(\sqrt{c x + 1} b^{2} - \sqrt{-c x + 1} b^{2}\right)} \log\left(\sqrt{c x + 1} + \sqrt{-c x + 1}\right)^{2} + 8 \, {\left(\sqrt{c x + 1} a b - \sqrt{-c x + 1} a b\right)} \log\left(\sqrt{c x + 1} + \sqrt{-c x + 1}\right) - {\left(4 \, {\left(\sqrt{c x + 1} b^{2} - \sqrt{-c x + 1} b^{2}\right)} \log\left(\sqrt{c x + 1} + \sqrt{-c x + 1}\right) + {\left(8 \, a b - {\left(b^{2} c x - b^{2}\right)} \log\left(c x + 1\right) + {\left(b^{2} c x - b^{2}\right)} \log\left(-c x + 1\right)\right)} \sqrt{c x + 1} - {\left(8 \, a b - {\left(b^{2} c x + b^{2}\right)} \log\left(c x + 1\right) + {\left(b^{2} c x + b^{2}\right)} \log\left(-c x + 1\right)\right)} \sqrt{-c x + 1}\right)} \log\left(\sqrt{c x + 1} - \sqrt{-c x + 1}\right)}{8 \, {\left({\left(c^{2} x^{2} - 1\right)} \sqrt{c x + 1} - {\left(c^{2} x^{2} - 1\right)} \sqrt{-c x + 1}\right)}}\,{d x}"," ",0,"1/2*a^2*(log(c*x + 1)/c - log(c*x - 1)/c) + 1/8*(b^2*log(c*x + 1) - b^2*log(-c*x + 1))*log(sqrt(c*x + 1) - sqrt(-c*x + 1))^2/c + integrate(-1/8*(2*(sqrt(c*x + 1)*b^2 - sqrt(-c*x + 1)*b^2)*log(sqrt(c*x + 1) + sqrt(-c*x + 1))^2 + 8*(sqrt(c*x + 1)*a*b - sqrt(-c*x + 1)*a*b)*log(sqrt(c*x + 1) + sqrt(-c*x + 1)) - (4*(sqrt(c*x + 1)*b^2 - sqrt(-c*x + 1)*b^2)*log(sqrt(c*x + 1) + sqrt(-c*x + 1)) + (8*a*b - (b^2*c*x - b^2)*log(c*x + 1) + (b^2*c*x - b^2)*log(-c*x + 1))*sqrt(c*x + 1) - (8*a*b - (b^2*c*x + b^2)*log(c*x + 1) + (b^2*c*x + b^2)*log(-c*x + 1))*sqrt(-c*x + 1))*log(sqrt(c*x + 1) - sqrt(-c*x + 1)))/((c^2*x^2 - 1)*sqrt(c*x + 1) - (c^2*x^2 - 1)*sqrt(-c*x + 1)), x)","F",0
33,0,0,0,0.000000," ","integrate((a+b*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))/(-c^2*x^2+1),x, algorithm=""maxima"")","\frac{1}{4} \, b {\left(\frac{{\left(\log\left(c x + 1\right) - \log\left(-c x + 1\right)\right)} \log\left(\sqrt{c x + 1} + \sqrt{-c x + 1}\right) - {\left(\log\left(c x + 1\right) - \log\left(-c x + 1\right)\right)} \log\left(\sqrt{c x + 1} - \sqrt{-c x + 1}\right)}{c} - 2 \, \int -\frac{\sqrt{c x + 1} {\left(\log\left(c x + 1\right) - \log\left(-c x + 1\right)\right)}}{2 \, {\left({\left(c^{2} x^{2} - 1\right)} \sqrt{c x + 1} + {\left(c^{2} x^{2} - 1\right)} \sqrt{-c x + 1}\right)}}\,{d x} - 2 \, \int \frac{\sqrt{c x + 1} {\left(\log\left(c x + 1\right) - \log\left(-c x + 1\right)\right)}}{2 \, {\left({\left(c^{2} x^{2} - 1\right)} \sqrt{c x + 1} - {\left(c^{2} x^{2} - 1\right)} \sqrt{-c x + 1}\right)}}\,{d x}\right)} + \frac{1}{2} \, a {\left(\frac{\log\left(c x + 1\right)}{c} - \frac{\log\left(c x - 1\right)}{c}\right)}"," ",0,"1/4*b*(((log(c*x + 1) - log(-c*x + 1))*log(sqrt(c*x + 1) + sqrt(-c*x + 1)) - (log(c*x + 1) - log(-c*x + 1))*log(sqrt(c*x + 1) - sqrt(-c*x + 1)))/c - 2*integrate(-1/2*sqrt(c*x + 1)*(log(c*x + 1) - log(-c*x + 1))/((c^2*x^2 - 1)*sqrt(c*x + 1) + (c^2*x^2 - 1)*sqrt(-c*x + 1)), x) - 2*integrate(1/2*sqrt(c*x + 1)*(log(c*x + 1) - log(-c*x + 1))/((c^2*x^2 - 1)*sqrt(c*x + 1) - (c^2*x^2 - 1)*sqrt(-c*x + 1)), x)) + 1/2*a*(log(c*x + 1)/c - log(c*x - 1)/c)","F",0
34,0,0,0,0.000000," ","integrate(1/(-c^2*x^2+1)/(a+b*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2))),x, algorithm=""maxima"")","-\int \frac{1}{{\left(c^{2} x^{2} - 1\right)} {\left(b \operatorname{artanh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}}\,{d x}"," ",0,"-integrate(1/((c^2*x^2 - 1)*(b*arctanh(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)), x)","F",0
35,0,0,0,0.000000," ","integrate(1/(-c^2*x^2+1)/(a+b*arctanh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2,x, algorithm=""maxima"")","\frac{4 \, c x}{\sqrt{c x + 1} \sqrt{-c x + 1} b^{2} c \log\left(\sqrt{c x + 1} + \sqrt{-c x + 1}\right) - \sqrt{c x + 1} \sqrt{-c x + 1} b^{2} c \log\left(\sqrt{c x + 1} - \sqrt{-c x + 1}\right) + 2 \, \sqrt{c x + 1} \sqrt{-c x + 1} a b c} - \int -\frac{4}{{\left(b^{2} c^{2} x^{2} - b^{2}\right)} \sqrt{c x + 1} \sqrt{-c x + 1} \log\left(\sqrt{c x + 1} + \sqrt{-c x + 1}\right) - {\left(b^{2} c^{2} x^{2} - b^{2}\right)} \sqrt{c x + 1} \sqrt{-c x + 1} \log\left(\sqrt{c x + 1} - \sqrt{-c x + 1}\right) + 2 \, {\left(a b c^{2} x^{2} - a b\right)} \sqrt{c x + 1} \sqrt{-c x + 1}}\,{d x}"," ",0,"4*c*x/(sqrt(c*x + 1)*sqrt(-c*x + 1)*b^2*c*log(sqrt(c*x + 1) + sqrt(-c*x + 1)) - sqrt(c*x + 1)*sqrt(-c*x + 1)*b^2*c*log(sqrt(c*x + 1) - sqrt(-c*x + 1)) + 2*sqrt(c*x + 1)*sqrt(-c*x + 1)*a*b*c) - integrate(-4/((b^2*c^2*x^2 - b^2)*sqrt(c*x + 1)*sqrt(-c*x + 1)*log(sqrt(c*x + 1) + sqrt(-c*x + 1)) - (b^2*c^2*x^2 - b^2)*sqrt(c*x + 1)*sqrt(-c*x + 1)*log(sqrt(c*x + 1) - sqrt(-c*x + 1)) + 2*(a*b*c^2*x^2 - a*b)*sqrt(c*x + 1)*sqrt(-c*x + 1)), x)","F",0
36,1,38,0,0.329384," ","integrate(x^m*arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{b x^{2} x^{m}}{{\left(m + 2\right)} {\left(m + 1\right)}} + \frac{x^{m + 1} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{m + 1}"," ",0,"-b*x^2*x^m/((m + 2)*(m + 1)) + x^(m + 1)*arctanh(tanh(b*x + a))/(m + 1)","A",0
37,1,19,0,0.380824," ","integrate(x^2*arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{1}{12} \, b x^{4} + \frac{1}{3} \, x^{3} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)"," ",0,"-1/12*b*x^4 + 1/3*x^3*arctanh(tanh(b*x + a))","A",0
38,1,19,0,0.377853," ","integrate(x*arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{1}{6} \, b x^{3} + \frac{1}{2} \, x^{2} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)"," ",0,"-1/6*b*x^3 + 1/2*x^2*arctanh(tanh(b*x + a))","A",0
39,1,16,0,0.388652," ","integrate(arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{1}{2} \, b x^{2} + x \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)"," ",0,"-1/2*b*x^2 + x*arctanh(tanh(b*x + a))","A",0
40,1,34,0,0.328226," ","integrate(arctanh(tanh(b*x+a))/x,x, algorithm=""maxima"")","-b {\left(x + \frac{a}{b}\right)} \log\left(x\right) + b {\left(x + \frac{a \log\left(x\right)}{b}\right)} + \operatorname{artanh}\left(\tanh\left(b x + a\right)\right) \log\left(x\right)"," ",0,"-b*(x + a/b)*log(x) + b*(x + a*log(x)/b) + arctanh(tanh(b*x + a))*log(x)","A",0
41,1,17,0,0.384229," ","integrate(arctanh(tanh(b*x+a))/x^2,x, algorithm=""maxima"")","b \log\left(x\right) - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{x}"," ",0,"b*log(x) - arctanh(tanh(b*x + a))/x","A",0
42,1,19,0,0.386908," ","integrate(arctanh(tanh(b*x+a))/x^3,x, algorithm=""maxima"")","-\frac{b}{2 \, x} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{2 \, x^{2}}"," ",0,"-1/2*b/x - 1/2*arctanh(tanh(b*x + a))/x^2","A",0
43,1,19,0,0.384155," ","integrate(arctanh(tanh(b*x+a))/x^4,x, algorithm=""maxima"")","-\frac{b}{6 \, x^{2}} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{3 \, x^{3}}"," ",0,"-1/6*b/x^2 - 1/3*arctanh(tanh(b*x + a))/x^3","A",0
44,1,73,0,0.401028," ","integrate(x^m*arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{2 \, b^{2} x^{3} x^{m}}{{\left(m + 3\right)} {\left(m + 2\right)} {\left(m + 1\right)}} - \frac{2 \, b x^{2} x^{m} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{{\left(m + 2\right)} {\left(m + 1\right)}} + \frac{x^{m + 1} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{m + 1}"," ",0,"2*b^2*x^3*x^m/((m + 3)*(m + 2)*(m + 1)) - 2*b*x^2*x^m*arctanh(tanh(b*x + a))/((m + 2)*(m + 1)) + x^(m + 1)*arctanh(tanh(b*x + a))^2/(m + 1)","A",0
45,1,36,0,0.458617," ","integrate(x^3*arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{1}{60} \, b^{2} x^{6} - \frac{1}{10} \, b x^{5} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right) + \frac{1}{4} \, x^{4} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}"," ",0,"1/60*b^2*x^6 - 1/10*b*x^5*arctanh(tanh(b*x + a)) + 1/4*x^4*arctanh(tanh(b*x + a))^2","A",0
46,1,36,0,0.459334," ","integrate(x^2*arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{1}{30} \, b^{2} x^{5} - \frac{1}{6} \, b x^{4} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right) + \frac{1}{3} \, x^{3} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}"," ",0,"1/30*b^2*x^5 - 1/6*b*x^4*arctanh(tanh(b*x + a)) + 1/3*x^3*arctanh(tanh(b*x + a))^2","A",0
47,1,36,0,0.453664," ","integrate(x*arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{1}{12} \, b^{2} x^{4} - \frac{1}{3} \, b x^{3} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right) + \frac{1}{2} \, x^{2} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}"," ",0,"1/12*b^2*x^4 - 1/3*b*x^3*arctanh(tanh(b*x + a)) + 1/2*x^2*arctanh(tanh(b*x + a))^2","A",0
48,1,33,0,0.453914," ","integrate(arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} x^{3} - b x^{2} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right) + x \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}"," ",0,"1/3*b^2*x^3 - b*x^2*arctanh(tanh(b*x + a)) + x*arctanh(tanh(b*x + a))^2","B",0
49,1,20,0,0.709414," ","integrate(arctanh(tanh(b*x+a))^2/x,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} x^{2} + 2 \, a b x + a^{2} \log\left(x\right)"," ",0,"1/2*b^2*x^2 + 2*a*b*x + a^2*log(x)","A",0
50,1,54,0,0.400174," ","integrate(arctanh(tanh(b*x+a))^2/x^2,x, algorithm=""maxima"")","2 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right) \log\left(x\right) - 2 \, {\left(b {\left(x + \frac{a}{b}\right)} \log\left(x\right) - b {\left(x + \frac{a \log\left(x\right)}{b}\right)}\right)} b - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{x}"," ",0,"2*b*arctanh(tanh(b*x + a))*log(x) - 2*(b*(x + a/b)*log(x) - b*(x + a*log(x)/b))*b - arctanh(tanh(b*x + a))^2/x","A",0
51,1,34,0,0.462932," ","integrate(arctanh(tanh(b*x+a))^2/x^3,x, algorithm=""maxima"")","b^{2} \log\left(x\right) - \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{x} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{2 \, x^{2}}"," ",0,"b^2*log(x) - b*arctanh(tanh(b*x + a))/x - 1/2*arctanh(tanh(b*x + a))^2/x^2","A",0
52,1,36,0,0.465695," ","integrate(arctanh(tanh(b*x+a))^2/x^4,x, algorithm=""maxima"")","-\frac{b^{2}}{3 \, x} - \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{3 \, x^{2}} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{3 \, x^{3}}"," ",0,"-1/3*b^2/x - 1/3*b*arctanh(tanh(b*x + a))/x^2 - 1/3*arctanh(tanh(b*x + a))^2/x^3","A",0
53,1,36,0,0.480850," ","integrate(arctanh(tanh(b*x+a))^2/x^5,x, algorithm=""maxima"")","-\frac{b^{2}}{12 \, x^{2}} - \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{6 \, x^{3}} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{4 \, x^{4}}"," ",0,"-1/12*b^2/x^2 - 1/6*b*arctanh(tanh(b*x + a))/x^3 - 1/4*arctanh(tanh(b*x + a))^2/x^4","A",0
54,-1,0,0,0.000000," ","integrate(x^m*arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
55,1,54,0,0.515964," ","integrate(x^3*arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","-\frac{3}{20} \, b x^{5} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + \frac{1}{4} \, x^{4} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} - \frac{1}{140} \, {\left(b^{2} x^{7} - 7 \, b x^{6} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b"," ",0,"-3/20*b*x^5*arctanh(tanh(b*x + a))^2 + 1/4*x^4*arctanh(tanh(b*x + a))^3 - 1/140*(b^2*x^7 - 7*b*x^6*arctanh(tanh(b*x + a)))*b","A",0
56,1,54,0,0.519245," ","integrate(x^2*arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","-\frac{1}{4} \, b x^{4} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + \frac{1}{3} \, x^{3} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} - \frac{1}{60} \, {\left(b^{2} x^{6} - 6 \, b x^{5} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b"," ",0,"-1/4*b*x^4*arctanh(tanh(b*x + a))^2 + 1/3*x^3*arctanh(tanh(b*x + a))^3 - 1/60*(b^2*x^6 - 6*b*x^5*arctanh(tanh(b*x + a)))*b","A",0
57,1,54,0,0.520046," ","integrate(x*arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","-\frac{1}{2} \, b x^{3} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + \frac{1}{2} \, x^{2} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} - \frac{1}{20} \, {\left(b^{2} x^{5} - 5 \, b x^{4} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b"," ",0,"-1/2*b*x^3*arctanh(tanh(b*x + a))^2 + 1/2*x^2*arctanh(tanh(b*x + a))^3 - 1/20*(b^2*x^5 - 5*b*x^4*arctanh(tanh(b*x + a)))*b","A",0
58,1,51,0,0.520596," ","integrate(arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","-\frac{3}{2} \, b x^{2} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + x \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} - \frac{1}{4} \, {\left(b^{2} x^{4} - 4 \, b x^{3} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b"," ",0,"-3/2*b*x^2*arctanh(tanh(b*x + a))^2 + x*arctanh(tanh(b*x + a))^3 - 1/4*(b^2*x^4 - 4*b*x^3*arctanh(tanh(b*x + a)))*b","B",0
59,1,31,0,0.707810," ","integrate(arctanh(tanh(b*x+a))^3/x,x, algorithm=""maxima"")","\frac{1}{3} \, b^{3} x^{3} + \frac{3}{2} \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3} \log\left(x\right)"," ",0,"1/3*b^3*x^3 + 3/2*a*b^2*x^2 + 3*a^2*b*x + a^3*log(x)","A",0
60,1,65,0,0.781056," ","integrate(arctanh(tanh(b*x+a))^3/x^2,x, algorithm=""maxima"")","3 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} \log\left(x\right) + \frac{3}{2} \, {\left(b^{2} x^{2} + 4 \, a b x + 2 \, a^{2} \log\left(x\right) - 2 \, \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} \log\left(x\right)\right)} b - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{x}"," ",0,"3*b*arctanh(tanh(b*x + a))^2*log(x) + 3/2*(b^2*x^2 + 4*a*b*x + 2*a^2*log(x) - 2*arctanh(tanh(b*x + a))^2*log(x))*b - arctanh(tanh(b*x + a))^3/x","A",0
61,1,72,0,0.472458," ","integrate(arctanh(tanh(b*x+a))^3/x^3,x, algorithm=""maxima"")","3 \, {\left(b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right) \log\left(x\right) - {\left(b {\left(x + \frac{a}{b}\right)} \log\left(x\right) - b {\left(x + \frac{a \log\left(x\right)}{b}\right)}\right)} b\right)} b - \frac{3 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{2 \, x} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{2 \, x^{2}}"," ",0,"3*(b*arctanh(tanh(b*x + a))*log(x) - (b*(x + a/b)*log(x) - b*(x + a*log(x)/b))*b)*b - 3/2*b*arctanh(tanh(b*x + a))^2/x - 1/2*arctanh(tanh(b*x + a))^3/x^2","A",0
62,1,52,0,0.524533," ","integrate(arctanh(tanh(b*x+a))^3/x^4,x, algorithm=""maxima"")","{\left(b^{2} \log\left(x\right) - \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{x}\right)} b - \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{2 \, x^{2}} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{3 \, x^{3}}"," ",0,"(b^2*log(x) - b*arctanh(tanh(b*x + a))/x)*b - 1/2*b*arctanh(tanh(b*x + a))^2/x^2 - 1/3*arctanh(tanh(b*x + a))^3/x^3","A",0
63,1,53,0,0.525319," ","integrate(arctanh(tanh(b*x+a))^3/x^5,x, algorithm=""maxima"")","-\frac{1}{4} \, b {\left(\frac{b^{2}}{x} + \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{x^{2}}\right)} - \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{4 \, x^{3}} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{4 \, x^{4}}"," ",0,"-1/4*b*(b^2/x + b*arctanh(tanh(b*x + a))/x^2) - 1/4*b*arctanh(tanh(b*x + a))^2/x^3 - 1/4*arctanh(tanh(b*x + a))^3/x^4","A",0
64,1,54,0,0.529248," ","integrate(arctanh(tanh(b*x+a))^3/x^6,x, algorithm=""maxima"")","-\frac{1}{20} \, b {\left(\frac{b^{2}}{x^{2}} + \frac{2 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{x^{3}}\right)} - \frac{3 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{20 \, x^{4}} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{5 \, x^{5}}"," ",0,"-1/20*b*(b^2/x^2 + 2*b*arctanh(tanh(b*x + a))/x^3) - 3/20*b*arctanh(tanh(b*x + a))^2/x^4 - 1/5*arctanh(tanh(b*x + a))^3/x^5","A",0
65,1,145,0,0.542477," ","integrate(x^m*arctanh(tanh(b*x+a))^4,x, algorithm=""maxima"")","-\frac{4 \, b x^{2} x^{m} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{{\left(m + 2\right)} {\left(m + 1\right)}} + \frac{x^{m + 1} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4}}{m + 1} + \frac{12 \, {\left(\frac{b x^{3} x^{m} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{{\left(m + 3\right)} {\left(m + 2\right)}} + \frac{2 \, {\left(\frac{b^{2} x^{5} x^{m}}{{\left(m + 5\right)} {\left(m + 4\right)} {\left(m + 3\right)}} - \frac{b x^{4} x^{m} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{{\left(m + 4\right)} {\left(m + 3\right)}}\right)} b}{m + 2}\right)} b}{m + 1}"," ",0,"-4*b*x^2*x^m*arctanh(tanh(b*x + a))^3/((m + 2)*(m + 1)) + x^(m + 1)*arctanh(tanh(b*x + a))^4/(m + 1) + 12*(b*x^3*x^m*arctanh(tanh(b*x + a))^2/((m + 3)*(m + 2)) + 2*(b^2*x^5*x^m/((m + 5)*(m + 4)*(m + 3)) - b*x^4*x^m*arctanh(tanh(b*x + a))/((m + 4)*(m + 3)))*b/(m + 2))*b/(m + 1)","A",0
66,1,72,0,0.585819," ","integrate(x^6*arctanh(tanh(b*x+a))^4,x, algorithm=""maxima"")","-\frac{1}{14} \, b x^{8} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} + \frac{1}{7} \, x^{7} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4} + \frac{1}{2310} \, {\left(55 \, b x^{9} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + {\left(b^{2} x^{11} - 11 \, b x^{10} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b\right)} b"," ",0,"-1/14*b*x^8*arctanh(tanh(b*x + a))^3 + 1/7*x^7*arctanh(tanh(b*x + a))^4 + 1/2310*(55*b*x^9*arctanh(tanh(b*x + a))^2 + (b^2*x^11 - 11*b*x^10*arctanh(tanh(b*x + a)))*b)*b","A",0
67,1,72,0,0.575360," ","integrate(x^5*arctanh(tanh(b*x+a))^4,x, algorithm=""maxima"")","-\frac{2}{21} \, b x^{7} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} + \frac{1}{6} \, x^{6} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4} + \frac{1}{1260} \, {\left(45 \, b x^{8} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + {\left(b^{2} x^{10} - 10 \, b x^{9} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b\right)} b"," ",0,"-2/21*b*x^7*arctanh(tanh(b*x + a))^3 + 1/6*x^6*arctanh(tanh(b*x + a))^4 + 1/1260*(45*b*x^8*arctanh(tanh(b*x + a))^2 + (b^2*x^10 - 10*b*x^9*arctanh(tanh(b*x + a)))*b)*b","A",0
68,1,72,0,0.572387," ","integrate(x^4*arctanh(tanh(b*x+a))^4,x, algorithm=""maxima"")","-\frac{2}{15} \, b x^{6} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} + \frac{1}{5} \, x^{5} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4} + \frac{1}{630} \, {\left(36 \, b x^{7} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + {\left(b^{2} x^{9} - 9 \, b x^{8} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b\right)} b"," ",0,"-2/15*b*x^6*arctanh(tanh(b*x + a))^3 + 1/5*x^5*arctanh(tanh(b*x + a))^4 + 1/630*(36*b*x^7*arctanh(tanh(b*x + a))^2 + (b^2*x^9 - 9*b*x^8*arctanh(tanh(b*x + a)))*b)*b","A",0
69,1,72,0,0.579829," ","integrate(x^3*arctanh(tanh(b*x+a))^4,x, algorithm=""maxima"")","-\frac{1}{5} \, b x^{5} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} + \frac{1}{4} \, x^{4} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4} + \frac{1}{280} \, {\left(28 \, b x^{6} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + {\left(b^{2} x^{8} - 8 \, b x^{7} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b\right)} b"," ",0,"-1/5*b*x^5*arctanh(tanh(b*x + a))^3 + 1/4*x^4*arctanh(tanh(b*x + a))^4 + 1/280*(28*b*x^6*arctanh(tanh(b*x + a))^2 + (b^2*x^8 - 8*b*x^7*arctanh(tanh(b*x + a)))*b)*b","A",0
70,1,72,0,0.575166," ","integrate(x^2*arctanh(tanh(b*x+a))^4,x, algorithm=""maxima"")","-\frac{1}{3} \, b x^{4} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} + \frac{1}{3} \, x^{3} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4} + \frac{1}{105} \, {\left(21 \, b x^{5} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + {\left(b^{2} x^{7} - 7 \, b x^{6} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b\right)} b"," ",0,"-1/3*b*x^4*arctanh(tanh(b*x + a))^3 + 1/3*x^3*arctanh(tanh(b*x + a))^4 + 1/105*(21*b*x^5*arctanh(tanh(b*x + a))^2 + (b^2*x^7 - 7*b*x^6*arctanh(tanh(b*x + a)))*b)*b","A",0
71,1,72,0,0.577247," ","integrate(x*arctanh(tanh(b*x+a))^4,x, algorithm=""maxima"")","-\frac{2}{3} \, b x^{3} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} + \frac{1}{2} \, x^{2} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4} + \frac{1}{30} \, {\left(15 \, b x^{4} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + {\left(b^{2} x^{6} - 6 \, b x^{5} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b\right)} b"," ",0,"-2/3*b*x^3*arctanh(tanh(b*x + a))^3 + 1/2*x^2*arctanh(tanh(b*x + a))^4 + 1/30*(15*b*x^4*arctanh(tanh(b*x + a))^2 + (b^2*x^6 - 6*b*x^5*arctanh(tanh(b*x + a)))*b)*b","B",0
72,1,69,0,0.575461," ","integrate(arctanh(tanh(b*x+a))^4,x, algorithm=""maxima"")","-2 \, b x^{2} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} + x \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4} + \frac{1}{5} \, {\left(10 \, b x^{3} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + {\left(b^{2} x^{5} - 5 \, b x^{4} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b\right)} b"," ",0,"-2*b*x^2*arctanh(tanh(b*x + a))^3 + x*arctanh(tanh(b*x + a))^4 + 1/5*(10*b*x^3*arctanh(tanh(b*x + a))^2 + (b^2*x^5 - 5*b*x^4*arctanh(tanh(b*x + a)))*b)*b","B",0
73,1,42,0,0.715810," ","integrate(arctanh(tanh(b*x+a))^4/x,x, algorithm=""maxima"")","\frac{1}{4} \, b^{4} x^{4} + \frac{4}{3} \, a b^{3} x^{3} + 3 \, a^{2} b^{2} x^{2} + 4 \, a^{3} b x + a^{4} \log\left(x\right)"," ",0,"1/4*b^4*x^4 + 4/3*a*b^3*x^3 + 3*a^2*b^2*x^2 + 4*a^3*b*x + a^4*log(x)","A",0
74,1,77,0,0.784992," ","integrate(arctanh(tanh(b*x+a))^4/x^2,x, algorithm=""maxima"")","4 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} \log\left(x\right) - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4}}{x} + \frac{2}{3} \, {\left(2 \, b^{3} x^{3} + 9 \, a b^{2} x^{2} + 18 \, a^{2} b x + 6 \, a^{3} \log\left(x\right) - 6 \, \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} \log\left(x\right)\right)} b"," ",0,"4*b*arctanh(tanh(b*x + a))^3*log(x) - arctanh(tanh(b*x + a))^4/x + 2/3*(2*b^3*x^3 + 9*a*b^2*x^2 + 18*a^2*b*x + 6*a^3*log(x) - 6*arctanh(tanh(b*x + a))^3*log(x))*b","A",0
75,1,83,0,0.854684," ","integrate(arctanh(tanh(b*x+a))^4/x^3,x, algorithm=""maxima"")","-\frac{2 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{x} + 3 \, {\left(2 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} \log\left(x\right) + {\left(b^{2} x^{2} + 4 \, a b x + 2 \, a^{2} \log\left(x\right) - 2 \, \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} \log\left(x\right)\right)} b\right)} b - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4}}{2 \, x^{2}}"," ",0,"-2*b*arctanh(tanh(b*x + a))^3/x + 3*(2*b*arctanh(tanh(b*x + a))^2*log(x) + (b^2*x^2 + 4*a*b*x + 2*a^2*log(x) - 2*arctanh(tanh(b*x + a))^2*log(x))*b)*b - 1/2*arctanh(tanh(b*x + a))^4/x^2","A",0
76,1,91,0,0.543791," ","integrate(arctanh(tanh(b*x+a))^4/x^4,x, algorithm=""maxima"")","2 \, {\left(2 \, {\left(b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right) \log\left(x\right) - {\left(b {\left(x + \frac{a}{b}\right)} \log\left(x\right) - b {\left(x + \frac{a \log\left(x\right)}{b}\right)}\right)} b\right)} b - \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{x}\right)} b - \frac{2 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{3 \, x^{2}} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4}}{3 \, x^{3}}"," ",0,"2*(2*(b*arctanh(tanh(b*x + a))*log(x) - (b*(x + a/b)*log(x) - b*(x + a*log(x)/b))*b)*b - b*arctanh(tanh(b*x + a))^2/x)*b - 2/3*b*arctanh(tanh(b*x + a))^3/x^2 - 1/3*arctanh(tanh(b*x + a))^4/x^3","A",0
77,1,72,0,0.596865," ","integrate(arctanh(tanh(b*x+a))^4/x^5,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(2 \, {\left(b^{2} \log\left(x\right) - \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{x}\right)} b - \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{x^{2}}\right)} b - \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{3 \, x^{3}} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4}}{4 \, x^{4}}"," ",0,"1/2*(2*(b^2*log(x) - b*arctanh(tanh(b*x + a))/x)*b - b*arctanh(tanh(b*x + a))^2/x^2)*b - 1/3*b*arctanh(tanh(b*x + a))^3/x^3 - 1/4*arctanh(tanh(b*x + a))^4/x^4","A",0
78,1,70,0,0.600076," ","integrate(arctanh(tanh(b*x+a))^4/x^6,x, algorithm=""maxima"")","-\frac{1}{5} \, {\left(b {\left(\frac{b^{2}}{x} + \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{x^{2}}\right)} + \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{x^{3}}\right)} b - \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{5 \, x^{4}} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4}}{5 \, x^{5}}"," ",0,"-1/5*(b*(b^2/x + b*arctanh(tanh(b*x + a))/x^2) + b*arctanh(tanh(b*x + a))^2/x^3)*b - 1/5*b*arctanh(tanh(b*x + a))^3/x^4 - 1/5*arctanh(tanh(b*x + a))^4/x^5","B",0
79,1,72,0,0.600882," ","integrate(arctanh(tanh(b*x+a))^4/x^7,x, algorithm=""maxima"")","-\frac{1}{30} \, {\left(b {\left(\frac{b^{2}}{x^{2}} + \frac{2 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{x^{3}}\right)} + \frac{3 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{x^{4}}\right)} b - \frac{2 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{15 \, x^{5}} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4}}{6 \, x^{6}}"," ",0,"-1/30*(b*(b^2/x^2 + 2*b*arctanh(tanh(b*x + a))/x^3) + 3*b*arctanh(tanh(b*x + a))^2/x^4)*b - 2/15*b*arctanh(tanh(b*x + a))^3/x^5 - 1/6*arctanh(tanh(b*x + a))^4/x^6","A",0
80,1,72,0,0.597731," ","integrate(arctanh(tanh(b*x+a))^4/x^8,x, algorithm=""maxima"")","-\frac{1}{105} \, {\left(b {\left(\frac{b^{2}}{x^{3}} + \frac{3 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{x^{4}}\right)} + \frac{6 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{x^{5}}\right)} b - \frac{2 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{21 \, x^{6}} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4}}{7 \, x^{7}}"," ",0,"-1/105*(b*(b^2/x^3 + 3*b*arctanh(tanh(b*x + a))/x^4) + 6*b*arctanh(tanh(b*x + a))^2/x^5)*b - 2/21*b*arctanh(tanh(b*x + a))^3/x^6 - 1/7*arctanh(tanh(b*x + a))^4/x^7","A",0
81,1,72,0,0.600341," ","integrate(arctanh(tanh(b*x+a))^4/x^9,x, algorithm=""maxima"")","-\frac{1}{280} \, {\left(b {\left(\frac{b^{2}}{x^{4}} + \frac{4 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{x^{5}}\right)} + \frac{10 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{x^{6}}\right)} b - \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{14 \, x^{7}} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4}}{8 \, x^{8}}"," ",0,"-1/280*(b*(b^2/x^4 + 4*b*arctanh(tanh(b*x + a))/x^5) + 10*b*arctanh(tanh(b*x + a))^2/x^6)*b - 1/14*b*arctanh(tanh(b*x + a))^3/x^7 - 1/8*arctanh(tanh(b*x + a))^4/x^8","A",0
82,1,72,0,0.605452," ","integrate(arctanh(tanh(b*x+a))^4/x^10,x, algorithm=""maxima"")","-\frac{1}{630} \, {\left(b {\left(\frac{b^{2}}{x^{5}} + \frac{5 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{x^{6}}\right)} + \frac{15 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{x^{7}}\right)} b - \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{18 \, x^{8}} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4}}{9 \, x^{9}}"," ",0,"-1/630*(b*(b^2/x^5 + 5*b*arctanh(tanh(b*x + a))/x^6) + 15*b*arctanh(tanh(b*x + a))^2/x^7)*b - 1/18*b*arctanh(tanh(b*x + a))^3/x^8 - 1/9*arctanh(tanh(b*x + a))^4/x^9","A",0
83,1,72,0,0.605767," ","integrate(arctanh(tanh(b*x+a))^4/x^11,x, algorithm=""maxima"")","-\frac{1}{1260} \, {\left(b {\left(\frac{b^{2}}{x^{6}} + \frac{6 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{x^{7}}\right)} + \frac{21 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{x^{8}}\right)} b - \frac{2 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{45 \, x^{9}} - \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4}}{10 \, x^{10}}"," ",0,"-1/1260*(b*(b^2/x^6 + 6*b*arctanh(tanh(b*x + a))/x^7) + 21*b*arctanh(tanh(b*x + a))^2/x^8)*b - 2/45*b*arctanh(tanh(b*x + a))^3/x^9 - 1/10*arctanh(tanh(b*x + a))^4/x^10","A",0
84,1,110,0,0.720056," ","integrate(x*arctanh(tanh(b*x+a))^6,x, algorithm=""maxima"")","-b x^{3} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{5} + \frac{1}{2} \, x^{2} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{6} + \frac{1}{56} \, {\left(70 \, b x^{4} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4} - {\left(56 \, b x^{5} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} - {\left(28 \, b x^{6} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + {\left(b^{2} x^{8} - 8 \, b x^{7} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b\right)} b\right)} b\right)} b"," ",0,"-b*x^3*arctanh(tanh(b*x + a))^5 + 1/2*x^2*arctanh(tanh(b*x + a))^6 + 1/56*(70*b*x^4*arctanh(tanh(b*x + a))^4 - (56*b*x^5*arctanh(tanh(b*x + a))^3 - (28*b*x^6*arctanh(tanh(b*x + a))^2 + (b^2*x^8 - 8*b*x^7*arctanh(tanh(b*x + a)))*b)*b)*b)*b","B",0
85,0,0,0,0.000000," ","integrate(x^m/arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","\int \frac{x^{m}}{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}\,{d x}"," ",0,"integrate(x^m/arctanh(tanh(b*x + a)), x)","F",0
86,1,42,0,0.513864," ","integrate(x^3/arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{a^{3} \log\left(b x + a\right)}{b^{4}} + \frac{2 \, b^{2} x^{3} - 3 \, a b x^{2} + 6 \, a^{2} x}{6 \, b^{3}}"," ",0,"-a^3*log(b*x + a)/b^4 + 1/6*(2*b^2*x^3 - 3*a*b*x^2 + 6*a^2*x)/b^3","A",0
87,1,29,0,0.516990," ","integrate(x^2/arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","\frac{a^{2} \log\left(b x + a\right)}{b^{3}} + \frac{b x^{2} - 2 \, a x}{2 \, b^{2}}"," ",0,"a^2*log(b*x + a)/b^3 + 1/2*(b*x^2 - 2*a*x)/b^2","A",0
88,1,18,0,0.530233," ","integrate(x/arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","\frac{x}{b} - \frac{a \log\left(b x + a\right)}{b^{2}}"," ",0,"x/b - a*log(b*x + a)/b^2","A",0
89,1,13,0,0.431671," ","integrate(1/arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","\frac{\log\left(-b x - a\right)}{b}"," ",0,"log(-b*x - a)/b","A",0
90,1,18,0,0.512954," ","integrate(1/x/arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{\log\left(b x + a\right)}{a} + \frac{\log\left(x\right)}{a}"," ",0,"-log(b*x + a)/a + log(x)/a","A",0
91,1,28,0,0.521456," ","integrate(1/x^2/arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","\frac{b \log\left(b x + a\right)}{a^{2}} - \frac{b \log\left(x\right)}{a^{2}} - \frac{1}{a x}"," ",0,"b*log(b*x + a)/a^2 - b*log(x)/a^2 - 1/(a*x)","A",0
92,1,40,0,0.516661," ","integrate(1/x^3/arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{b^{2} \log\left(b x + a\right)}{a^{3}} + \frac{b^{2} \log\left(x\right)}{a^{3}} + \frac{2 \, b x - a}{2 \, a^{2} x^{2}}"," ",0,"-b^2*log(b*x + a)/a^3 + b^2*log(x)/a^3 + 1/2*(2*b*x - a)/(a^2*x^2)","A",0
93,0,0,0,0.000000," ","integrate(x^m/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\int \frac{x^{m}}{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}\,{d x}"," ",0,"integrate(x^m/arctanh(tanh(b*x + a))^2, x)","F",0
94,1,70,0,0.750761," ","integrate(x^4/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{b^{4} x^{4} - 2 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 9 \, a^{3} b x - 3 \, a^{4}}{3 \, {\left(b^{6} x + a b^{5}\right)}} - \frac{4 \, a^{3} \log\left(b x + a\right)}{b^{5}}"," ",0,"1/3*(b^4*x^4 - 2*a*b^3*x^3 + 6*a^2*b^2*x^2 + 9*a^3*b*x - 3*a^4)/(b^6*x + a*b^5) - 4*a^3*log(b*x + a)/b^5","A",0
95,1,59,0,0.746348," ","integrate(x^3/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{b^{3} x^{3} - 3 \, a b^{2} x^{2} - 4 \, a^{2} b x + 2 \, a^{3}}{2 \, {\left(b^{5} x + a b^{4}\right)}} + \frac{3 \, a^{2} \log\left(b x + a\right)}{b^{4}}"," ",0,"1/2*(b^3*x^3 - 3*a*b^2*x^2 - 4*a^2*b*x + 2*a^3)/(b^5*x + a*b^4) + 3*a^2*log(b*x + a)/b^4","A",0
96,1,44,0,0.760126," ","integrate(x^2/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{b^{2} x^{2} + a b x - a^{2}}{b^{4} x + a b^{3}} - \frac{2 \, a \log\left(b x + a\right)}{b^{3}}"," ",0,"(b^2*x^2 + a*b*x - a^2)/(b^4*x + a*b^3) - 2*a*log(b*x + a)/b^3","A",0
97,1,26,0,0.739246," ","integrate(x/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{a}{b^{3} x + a b^{2}} + \frac{\log\left(b x + a\right)}{b^{2}}"," ",0,"a/(b^3*x + a*b^2) + log(b*x + a)/b^2","A",0
98,1,12,0,0.420783," ","integrate(1/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","-\frac{1}{{\left(b x + a\right)} b}"," ",0,"-1/((b*x + a)*b)","A",0
99,1,28,0,0.749953," ","integrate(1/x/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{1}{a b x + a^{2}} - \frac{\log\left(b x + a\right)}{a^{2}} + \frac{\log\left(x\right)}{a^{2}}"," ",0,"1/(a*b*x + a^2) - log(b*x + a)/a^2 + log(x)/a^2","A",0
100,1,45,0,0.736637," ","integrate(1/x^2/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","-\frac{2 \, b x + a}{a^{2} b x^{2} + a^{3} x} + \frac{2 \, b \log\left(b x + a\right)}{a^{3}} - \frac{2 \, b \log\left(x\right)}{a^{3}}"," ",0,"-(2*b*x + a)/(a^2*b*x^2 + a^3*x) + 2*b*log(b*x + a)/a^3 - 2*b*log(x)/a^3","A",0
101,1,64,0,1.023201," ","integrate(1/x^3/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{6 \, b^{2} x^{2} + 3 \, a b x - a^{2}}{2 \, {\left(a^{3} b x^{3} + a^{4} x^{2}\right)}} - \frac{3 \, b^{2} \log\left(b x + a\right)}{a^{4}} + \frac{3 \, b^{2} \log\left(x\right)}{a^{4}}"," ",0,"1/2*(6*b^2*x^2 + 3*a*b*x - a^2)/(a^3*b*x^3 + a^4*x^2) - 3*b^2*log(b*x + a)/a^4 + 3*b^2*log(x)/a^4","A",0
102,0,0,0,0.000000," ","integrate(x^m/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","\int \frac{x^{m}}{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}\,{d x}"," ",0,"integrate(x^m/arctanh(tanh(b*x + a))^3, x)","F",0
103,1,81,0,2.382052," ","integrate(x^4/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","\frac{b^{4} x^{4} - 4 \, a b^{3} x^{3} - 11 \, a^{2} b^{2} x^{2} + 2 \, a^{3} b x + 7 \, a^{4}}{2 \, {\left(b^{7} x^{2} + 2 \, a b^{6} x + a^{2} b^{5}\right)}} + \frac{6 \, a^{2} \log\left(b x + a\right)}{b^{5}}"," ",0,"1/2*(b^4*x^4 - 4*a*b^3*x^3 - 11*a^2*b^2*x^2 + 2*a^3*b*x + 7*a^4)/(b^7*x^2 + 2*a*b^6*x + a^2*b^5) + 6*a^2*log(b*x + a)/b^5","A",0
104,1,69,0,2.411110," ","integrate(x^3/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","\frac{2 \, b^{3} x^{3} + 4 \, a b^{2} x^{2} - 4 \, a^{2} b x - 5 \, a^{3}}{2 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}} - \frac{3 \, a \log\left(b x + a\right)}{b^{4}}"," ",0,"1/2*(2*b^3*x^3 + 4*a*b^2*x^2 - 4*a^2*b*x - 5*a^3)/(b^6*x^2 + 2*a*b^5*x + a^2*b^4) - 3*a*log(b*x + a)/b^4","A",0
105,1,48,0,3.220556," ","integrate(x^2/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","\frac{4 \, a b x + 3 \, a^{2}}{2 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}} + \frac{\log\left(b x + a\right)}{b^{3}}"," ",0,"1/2*(4*a*b*x + 3*a^2)/(b^5*x^2 + 2*a*b^4*x + a^2*b^3) + log(b*x + a)/b^3","A",0
106,1,32,0,3.187183," ","integrate(x/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","-\frac{2 \, b x + a}{2 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)}}"," ",0,"-1/2*(2*b*x + a)/(b^4*x^2 + 2*a*b^3*x + a^2*b^2)","A",0
107,1,12,0,0.557217," ","integrate(1/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(b x + a\right)}^{2} b}"," ",0,"-1/2/((b*x + a)^2*b)","A",0
108,1,51,0,4.317573," ","integrate(1/x/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","\frac{2 \, b x + 3 \, a}{2 \, {\left(a^{2} b^{2} x^{2} + 2 \, a^{3} b x + a^{4}\right)}} - \frac{\log\left(b x + a\right)}{a^{3}} + \frac{\log\left(x\right)}{a^{3}}"," ",0,"1/2*(2*b*x + 3*a)/(a^2*b^2*x^2 + 2*a^3*b*x + a^4) - log(b*x + a)/a^3 + log(x)/a^3","A",0
109,1,69,0,3.126713," ","integrate(1/x^2/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","-\frac{6 \, b^{2} x^{2} + 9 \, a b x + 2 \, a^{2}}{2 \, {\left(a^{3} b^{2} x^{3} + 2 \, a^{4} b x^{2} + a^{5} x\right)}} + \frac{3 \, b \log\left(b x + a\right)}{a^{4}} - \frac{3 \, b \log\left(x\right)}{a^{4}}"," ",0,"-1/2*(6*b^2*x^2 + 9*a*b*x + 2*a^2)/(a^3*b^2*x^3 + 2*a^4*b*x^2 + a^5*x) + 3*b*log(b*x + a)/a^4 - 3*b*log(x)/a^4","A",0
110,1,86,0,3.144041," ","integrate(1/x^3/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","\frac{12 \, b^{3} x^{3} + 18 \, a b^{2} x^{2} + 4 \, a^{2} b x - a^{3}}{2 \, {\left(a^{4} b^{2} x^{4} + 2 \, a^{5} b x^{3} + a^{6} x^{2}\right)}} - \frac{6 \, b^{2} \log\left(b x + a\right)}{a^{5}} + \frac{6 \, b^{2} \log\left(x\right)}{a^{5}}"," ",0,"1/2*(12*b^3*x^3 + 18*a*b^2*x^2 + 4*a^2*b*x - a^3)/(a^4*b^2*x^4 + 2*a^5*b*x^3 + a^6*x^2) - 6*b^2*log(b*x + a)/a^5 + 6*b^2*log(x)/a^5","A",0
111,1,64,0,1.839079," ","integrate(x^4*arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(315 \, b^{5} x^{5} + 35 \, a b^{4} x^{4} - 40 \, a^{2} b^{3} x^{3} + 48 \, a^{3} b^{2} x^{2} - 64 \, a^{4} b x + 128 \, a^{5}\right)} \sqrt{b x + a}}{3465 \, b^{5}}"," ",0,"2/3465*(315*b^5*x^5 + 35*a*b^4*x^4 - 40*a^2*b^3*x^3 + 48*a^3*b^2*x^2 - 64*a^4*b*x + 128*a^5)*sqrt(b*x + a)/b^5","A",0
112,1,53,0,0.522678," ","integrate(x^3*arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, b^{4} x^{4} + 5 \, a b^{3} x^{3} - 6 \, a^{2} b^{2} x^{2} + 8 \, a^{3} b x - 16 \, a^{4}\right)} \sqrt{b x + a}}{315 \, b^{4}}"," ",0,"2/315*(35*b^4*x^4 + 5*a*b^3*x^3 - 6*a^2*b^2*x^2 + 8*a^3*b*x - 16*a^4)*sqrt(b*x + a)/b^4","A",0
113,1,42,0,0.542084," ","integrate(x^2*arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, b^{3} x^{3} + 3 \, a b^{2} x^{2} - 4 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{b x + a}}{105 \, b^{3}}"," ",0,"2/105*(15*b^3*x^3 + 3*a*b^2*x^2 - 4*a^2*b*x + 8*a^3)*sqrt(b*x + a)/b^3","A",0
114,1,30,0,0.524842," ","integrate(x*arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, b^{2} x^{2} + a b x - 2 \, a^{2}\right)} \sqrt{b x + a}}{15 \, b^{2}}"," ",0,"2/15*(3*b^2*x^2 + a*b*x - 2*a^2)*sqrt(b*x + a)/b^2","A",0
115,1,12,0,0.492421," ","integrate(arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}}}{3 \, b}"," ",0,"2/3*(b*x + a)^(3/2)/b","A",0
116,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(arctanh(tanh(b*x + a)))/x, x)","F",0
117,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(arctanh(tanh(b*x + a)))/x^2, x)","F",0
118,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(arctanh(tanh(b*x + a)))/x^3, x)","F",0
119,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^4,x, algorithm=""maxima"")","\int \frac{\sqrt{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(arctanh(tanh(b*x + a)))/x^4, x)","F",0
120,1,64,0,0.527640," ","integrate(x^4*arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(1155 \, b^{5} x^{5} + 315 \, a b^{4} x^{4} - 280 \, a^{2} b^{3} x^{3} + 240 \, a^{3} b^{2} x^{2} - 192 \, a^{4} b x + 128 \, a^{5}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}{15015 \, b^{5}}"," ",0,"2/15015*(1155*b^5*x^5 + 315*a*b^4*x^4 - 280*a^2*b^3*x^3 + 240*a^3*b^2*x^2 - 192*a^4*b*x + 128*a^5)*(b*x + a)^(3/2)/b^5","A",0
121,1,53,0,0.528443," ","integrate(x^3*arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(105 \, b^{4} x^{4} + 35 \, a b^{3} x^{3} - 30 \, a^{2} b^{2} x^{2} + 24 \, a^{3} b x - 16 \, a^{4}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}{1155 \, b^{4}}"," ",0,"2/1155*(105*b^4*x^4 + 35*a*b^3*x^3 - 30*a^2*b^2*x^2 + 24*a^3*b*x - 16*a^4)*(b*x + a)^(3/2)/b^4","A",0
122,1,42,0,0.528916," ","integrate(x^2*arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, b^{3} x^{3} + 15 \, a b^{2} x^{2} - 12 \, a^{2} b x + 8 \, a^{3}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}{315 \, b^{3}}"," ",0,"2/315*(35*b^3*x^3 + 15*a*b^2*x^2 - 12*a^2*b*x + 8*a^3)*(b*x + a)^(3/2)/b^3","A",0
123,1,31,0,0.538128," ","integrate(x*arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, b^{2} x^{2} + 3 \, a b x - 2 \, a^{2}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}{35 \, b^{2}}"," ",0,"2/35*(5*b^2*x^2 + 3*a*b*x - 2*a^2)*(b*x + a)^(3/2)/b^2","A",0
124,1,12,0,0.490086," ","integrate(arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}}}{5 \, b}"," ",0,"2/5*(b*x + a)^(5/2)/b","A",0
125,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(3/2)/x, x)","F",0
126,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(3/2)/x^2, x)","F",0
127,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^3,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}{x^{3}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(3/2)/x^3, x)","F",0
128,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^4,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}{x^{4}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(3/2)/x^4, x)","F",0
129,1,64,0,0.531415," ","integrate(x^4*arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3003 \, b^{5} x^{5} + 1155 \, a b^{4} x^{4} - 840 \, a^{2} b^{3} x^{3} + 560 \, a^{3} b^{2} x^{2} - 320 \, a^{4} b x + 128 \, a^{5}\right)} {\left(b x + a\right)}^{\frac{5}{2}}}{45045 \, b^{5}}"," ",0,"2/45045*(3003*b^5*x^5 + 1155*a*b^4*x^4 - 840*a^2*b^3*x^3 + 560*a^3*b^2*x^2 - 320*a^4*b*x + 128*a^5)*(b*x + a)^(5/2)/b^5","A",0
130,1,53,0,0.543944," ","integrate(x^3*arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(231 \, b^{4} x^{4} + 105 \, a b^{3} x^{3} - 70 \, a^{2} b^{2} x^{2} + 40 \, a^{3} b x - 16 \, a^{4}\right)} {\left(b x + a\right)}^{\frac{5}{2}}}{3003 \, b^{4}}"," ",0,"2/3003*(231*b^4*x^4 + 105*a*b^3*x^3 - 70*a^2*b^2*x^2 + 40*a^3*b*x - 16*a^4)*(b*x + a)^(5/2)/b^4","A",0
131,1,42,0,0.539287," ","integrate(x^2*arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(63 \, b^{3} x^{3} + 35 \, a b^{2} x^{2} - 20 \, a^{2} b x + 8 \, a^{3}\right)} {\left(b x + a\right)}^{\frac{5}{2}}}{693 \, b^{3}}"," ",0,"2/693*(63*b^3*x^3 + 35*a*b^2*x^2 - 20*a^2*b*x + 8*a^3)*(b*x + a)^(5/2)/b^3","A",0
132,1,31,0,0.521334," ","integrate(x*arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(7 \, b^{2} x^{2} + 5 \, a b x - 2 \, a^{2}\right)} {\left(b x + a\right)}^{\frac{5}{2}}}{63 \, b^{2}}"," ",0,"2/63*(7*b^2*x^2 + 5*a*b*x - 2*a^2)*(b*x + a)^(5/2)/b^2","A",0
133,1,12,0,0.497374," ","integrate(arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x + a\right)}^{\frac{7}{2}}}{7 \, b}"," ",0,"2/7*(b*x + a)^(7/2)/b","A",0
134,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(5/2)/x, x)","F",0
135,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^2,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}{x^{2}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(5/2)/x^2, x)","F",0
136,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^3,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}{x^{3}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(5/2)/x^3, x)","F",0
137,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^4,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}{x^{4}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(5/2)/x^4, x)","F",0
138,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^5,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}{x^{5}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(5/2)/x^5, x)","F",0
139,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^6,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}{x^{6}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(5/2)/x^6, x)","F",0
140,1,64,0,0.529701," ","integrate(x^4/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, b^{5} x^{5} - 5 \, a b^{4} x^{4} + 8 \, a^{2} b^{3} x^{3} - 16 \, a^{3} b^{2} x^{2} + 64 \, a^{4} b x + 128 \, a^{5}\right)}}{315 \, \sqrt{b x + a} b^{5}}"," ",0,"2/315*(35*b^5*x^5 - 5*a*b^4*x^4 + 8*a^2*b^3*x^3 - 16*a^3*b^2*x^2 + 64*a^4*b*x + 128*a^5)/(sqrt(b*x + a)*b^5)","A",0
141,1,53,0,0.522833," ","integrate(x^3/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, b^{4} x^{4} - a b^{3} x^{3} + 2 \, a^{2} b^{2} x^{2} - 8 \, a^{3} b x - 16 \, a^{4}\right)}}{35 \, \sqrt{b x + a} b^{4}}"," ",0,"2/35*(5*b^4*x^4 - a*b^3*x^3 + 2*a^2*b^2*x^2 - 8*a^3*b*x - 16*a^4)/(sqrt(b*x + a)*b^4)","A",0
142,1,42,0,0.532147," ","integrate(x^2/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, b^{3} x^{3} - a b^{2} x^{2} + 4 \, a^{2} b x + 8 \, a^{3}\right)}}{15 \, \sqrt{b x + a} b^{3}}"," ",0,"2/15*(3*b^3*x^3 - a*b^2*x^2 + 4*a^2*b*x + 8*a^3)/(sqrt(b*x + a)*b^3)","A",0
143,1,30,0,0.544845," ","integrate(x/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b^{2} x^{2} - a b x - 2 \, a^{2}\right)}}{3 \, \sqrt{b x + a} b^{2}}"," ",0,"2/3*(b^2*x^2 - a*b*x - 2*a^2)/(sqrt(b*x + a)*b^2)","A",0
144,1,12,0,0.529532," ","integrate(1/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b x + a}}{b}"," ",0,"2*sqrt(b*x + a)/b","A",0
145,0,0,0,0.000000," ","integrate(1/x/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{x \sqrt{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}}\,{d x}"," ",0,"integrate(1/(x*sqrt(arctanh(tanh(b*x + a)))), x)","F",0
146,0,0,0,0.000000," ","integrate(1/x^2/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{x^{2} \sqrt{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}}\,{d x}"," ",0,"integrate(1/(x^2*sqrt(arctanh(tanh(b*x + a)))), x)","F",0
147,0,0,0,0.000000," ","integrate(1/x^3/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{x^{3} \sqrt{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}}\,{d x}"," ",0,"integrate(1/(x^3*sqrt(arctanh(tanh(b*x + a)))), x)","F",0
148,0,0,0,0.000000," ","integrate(1/x^4/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{x^{4} \sqrt{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}}\,{d x}"," ",0,"integrate(1/(x^4*sqrt(arctanh(tanh(b*x + a)))), x)","F",0
149,1,64,0,0.544770," ","integrate(x^4/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, b^{5} x^{5} - 3 \, a b^{4} x^{4} + 8 \, a^{2} b^{3} x^{3} - 48 \, a^{3} b^{2} x^{2} - 192 \, a^{4} b x - 128 \, a^{5}\right)}}{35 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{5}}"," ",0,"2/35*(5*b^5*x^5 - 3*a*b^4*x^4 + 8*a^2*b^3*x^3 - 48*a^3*b^2*x^2 - 192*a^4*b*x - 128*a^5)/((b*x + a)^(3/2)*b^5)","A",0
150,1,52,0,0.526242," ","integrate(x^3/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b^{4} x^{4} - a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 24 \, a^{3} b x + 16 \, a^{4}\right)}}{5 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{4}}"," ",0,"2/5*(b^4*x^4 - a*b^3*x^3 + 6*a^2*b^2*x^2 + 24*a^3*b*x + 16*a^4)/((b*x + a)^(3/2)*b^4)","A",0
151,1,41,0,0.530585," ","integrate(x^2/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b^{3} x^{3} - 3 \, a b^{2} x^{2} - 12 \, a^{2} b x - 8 \, a^{3}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{3}}"," ",0,"2/3*(b^3*x^3 - 3*a*b^2*x^2 - 12*a^2*b*x - 8*a^3)/((b*x + a)^(3/2)*b^3)","A",0
152,1,30,0,0.528077," ","integrate(x/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b^{2} x^{2} + 3 \, a b x + 2 \, a^{2}\right)}}{{\left(b x + a\right)}^{\frac{3}{2}} b^{2}}"," ",0,"2*(b^2*x^2 + 3*a*b*x + 2*a^2)/((b*x + a)^(3/2)*b^2)","A",0
153,1,12,0,0.497539," ","integrate(1/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{b x + a} b}"," ",0,"-2/(sqrt(b*x + a)*b)","A",0
154,0,0,0,0.000000," ","integrate(1/x/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{x \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x*arctanh(tanh(b*x + a))^(3/2)), x)","F",0
155,0,0,0,0.000000," ","integrate(1/x^2/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{x^{2} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x^2*arctanh(tanh(b*x + a))^(3/2)), x)","F",0
156,0,0,0,0.000000," ","integrate(1/x^3/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{x^{3} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x^3*arctanh(tanh(b*x + a))^(3/2)), x)","F",0
157,0,0,0,0.000000," ","integrate(1/x^4/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{x^{4} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x^4*arctanh(tanh(b*x + a))^(3/2)), x)","F",0
158,1,64,0,0.520494," ","integrate(x^4/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, b^{5} x^{5} - 5 \, a b^{4} x^{4} + 40 \, a^{2} b^{3} x^{3} + 240 \, a^{3} b^{2} x^{2} + 320 \, a^{4} b x + 128 \, a^{5}\right)}}{15 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{5}}"," ",0,"2/15*(3*b^5*x^5 - 5*a*b^4*x^4 + 40*a^2*b^3*x^3 + 240*a^3*b^2*x^2 + 320*a^4*b*x + 128*a^5)/((b*x + a)^(5/2)*b^5)","A",0
159,1,52,0,0.534888," ","integrate(x^3/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b^{4} x^{4} - 5 \, a b^{3} x^{3} - 30 \, a^{2} b^{2} x^{2} - 40 \, a^{3} b x - 16 \, a^{4}\right)}}{3 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{4}}"," ",0,"2/3*(b^4*x^4 - 5*a*b^3*x^3 - 30*a^2*b^2*x^2 - 40*a^3*b*x - 16*a^4)/((b*x + a)^(5/2)*b^4)","A",0
160,1,42,0,0.540857," ","integrate(x^2/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, b^{3} x^{3} + 15 \, a b^{2} x^{2} + 20 \, a^{2} b x + 8 \, a^{3}\right)}}{3 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{3}}"," ",0,"2/3*(3*b^3*x^3 + 15*a*b^2*x^2 + 20*a^2*b*x + 8*a^3)/((b*x + a)^(5/2)*b^3)","A",0
161,1,31,0,0.527103," ","integrate(x/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(3 \, b^{2} x^{2} + 5 \, a b x + 2 \, a^{2}\right)}}{3 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{2}}"," ",0,"-2/3*(3*b^2*x^2 + 5*a*b*x + 2*a^2)/((b*x + a)^(5/2)*b^2)","A",0
162,1,12,0,0.498152," ","integrate(1/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","-\frac{2}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b}"," ",0,"-2/3/((b*x + a)^(3/2)*b)","A",0
163,0,0,0,0.000000," ","integrate(1/x/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{x \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x*arctanh(tanh(b*x + a))^(5/2)), x)","F",0
164,0,0,0,0.000000," ","integrate(1/x^2/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{x^{2} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x^2*arctanh(tanh(b*x + a))^(5/2)), x)","F",0
165,0,0,0,0.000000," ","integrate(1/x^3/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{x^{3} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x^3*arctanh(tanh(b*x + a))^(5/2)), x)","F",0
166,0,0,0,0.000000," ","integrate(1/x^4/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{x^{4} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x^4*arctanh(tanh(b*x + a))^(5/2)), x)","F",0
167,1,19,0,0.329764," ","integrate(x^(7/2)*arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{4}{99} \, b x^{\frac{11}{2}} + \frac{2}{9} \, x^{\frac{9}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)"," ",0,"-4/99*b*x^(11/2) + 2/9*x^(9/2)*arctanh(tanh(b*x + a))","A",0
168,1,19,0,0.334737," ","integrate(x^(5/2)*arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{4}{63} \, b x^{\frac{9}{2}} + \frac{2}{7} \, x^{\frac{7}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)"," ",0,"-4/63*b*x^(9/2) + 2/7*x^(7/2)*arctanh(tanh(b*x + a))","A",0
169,1,19,0,0.328851," ","integrate(x^(3/2)*arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{4}{35} \, b x^{\frac{7}{2}} + \frac{2}{5} \, x^{\frac{5}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)"," ",0,"-4/35*b*x^(7/2) + 2/5*x^(5/2)*arctanh(tanh(b*x + a))","A",0
170,1,19,0,0.333181," ","integrate(arctanh(tanh(b*x+a))*x^(1/2),x, algorithm=""maxima"")","-\frac{4}{15} \, b x^{\frac{5}{2}} + \frac{2}{3} \, x^{\frac{3}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)"," ",0,"-4/15*b*x^(5/2) + 2/3*x^(3/2)*arctanh(tanh(b*x + a))","A",0
171,1,19,0,0.327532," ","integrate(arctanh(tanh(b*x+a))/x^(1/2),x, algorithm=""maxima"")","-\frac{4}{3} \, b x^{\frac{3}{2}} + 2 \, \sqrt{x} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)"," ",0,"-4/3*b*x^(3/2) + 2*sqrt(x)*arctanh(tanh(b*x + a))","A",0
172,1,19,0,0.332096," ","integrate(arctanh(tanh(b*x+a))/x^(3/2),x, algorithm=""maxima"")","4 \, b \sqrt{x} - \frac{2 \, \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{\sqrt{x}}"," ",0,"4*b*sqrt(x) - 2*arctanh(tanh(b*x + a))/sqrt(x)","A",0
173,1,19,0,0.334374," ","integrate(arctanh(tanh(b*x+a))/x^(5/2),x, algorithm=""maxima"")","-\frac{4 \, b}{3 \, \sqrt{x}} - \frac{2 \, \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{3 \, x^{\frac{3}{2}}}"," ",0,"-4/3*b/sqrt(x) - 2/3*arctanh(tanh(b*x + a))/x^(3/2)","A",0
174,1,19,0,0.334324," ","integrate(arctanh(tanh(b*x+a))/x^(7/2),x, algorithm=""maxima"")","-\frac{4 \, b}{15 \, x^{\frac{3}{2}}} - \frac{2 \, \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{5 \, x^{\frac{5}{2}}}"," ",0,"-4/15*b/x^(3/2) - 2/5*arctanh(tanh(b*x + a))/x^(5/2)","A",0
175,1,36,0,0.347341," ","integrate(x^(7/2)*arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{16}{1287} \, b^{2} x^{\frac{13}{2}} - \frac{8}{99} \, b x^{\frac{11}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right) + \frac{2}{9} \, x^{\frac{9}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}"," ",0,"16/1287*b^2*x^(13/2) - 8/99*b*x^(11/2)*arctanh(tanh(b*x + a)) + 2/9*x^(9/2)*arctanh(tanh(b*x + a))^2","A",0
176,1,36,0,0.340393," ","integrate(x^(5/2)*arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{16}{693} \, b^{2} x^{\frac{11}{2}} - \frac{8}{63} \, b x^{\frac{9}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right) + \frac{2}{7} \, x^{\frac{7}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}"," ",0,"16/693*b^2*x^(11/2) - 8/63*b*x^(9/2)*arctanh(tanh(b*x + a)) + 2/7*x^(7/2)*arctanh(tanh(b*x + a))^2","A",0
177,1,36,0,0.347391," ","integrate(x^(3/2)*arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{16}{315} \, b^{2} x^{\frac{9}{2}} - \frac{8}{35} \, b x^{\frac{7}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right) + \frac{2}{5} \, x^{\frac{5}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}"," ",0,"16/315*b^2*x^(9/2) - 8/35*b*x^(7/2)*arctanh(tanh(b*x + a)) + 2/5*x^(5/2)*arctanh(tanh(b*x + a))^2","A",0
178,1,36,0,0.339770," ","integrate(arctanh(tanh(b*x+a))^2*x^(1/2),x, algorithm=""maxima"")","\frac{16}{105} \, b^{2} x^{\frac{7}{2}} - \frac{8}{15} \, b x^{\frac{5}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right) + \frac{2}{3} \, x^{\frac{3}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}"," ",0,"16/105*b^2*x^(7/2) - 8/15*b*x^(5/2)*arctanh(tanh(b*x + a)) + 2/3*x^(3/2)*arctanh(tanh(b*x + a))^2","A",0
179,1,36,0,0.337675," ","integrate(arctanh(tanh(b*x+a))^2/x^(1/2),x, algorithm=""maxima"")","\frac{16}{15} \, b^{2} x^{\frac{5}{2}} - \frac{8}{3} \, b x^{\frac{3}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right) + 2 \, \sqrt{x} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}"," ",0,"16/15*b^2*x^(5/2) - 8/3*b*x^(3/2)*arctanh(tanh(b*x + a)) + 2*sqrt(x)*arctanh(tanh(b*x + a))^2","A",0
180,1,36,0,0.343510," ","integrate(arctanh(tanh(b*x+a))^2/x^(3/2),x, algorithm=""maxima"")","-\frac{16}{3} \, b^{2} x^{\frac{3}{2}} + 8 \, b \sqrt{x} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right) - \frac{2 \, \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{\sqrt{x}}"," ",0,"-16/3*b^2*x^(3/2) + 8*b*sqrt(x)*arctanh(tanh(b*x + a)) - 2*arctanh(tanh(b*x + a))^2/sqrt(x)","A",0
181,1,36,0,0.343309," ","integrate(arctanh(tanh(b*x+a))^2/x^(5/2),x, algorithm=""maxima"")","\frac{16}{3} \, b^{2} \sqrt{x} - \frac{8 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{3 \, \sqrt{x}} - \frac{2 \, \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{3 \, x^{\frac{3}{2}}}"," ",0,"16/3*b^2*sqrt(x) - 8/3*b*arctanh(tanh(b*x + a))/sqrt(x) - 2/3*arctanh(tanh(b*x + a))^2/x^(3/2)","A",0
182,1,36,0,0.353398," ","integrate(arctanh(tanh(b*x+a))^2/x^(7/2),x, algorithm=""maxima"")","-\frac{16 \, b^{2}}{15 \, \sqrt{x}} - \frac{8 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{15 \, x^{\frac{3}{2}}} - \frac{2 \, \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{5 \, x^{\frac{5}{2}}}"," ",0,"-16/15*b^2/sqrt(x) - 8/15*b*arctanh(tanh(b*x + a))/x^(3/2) - 2/5*arctanh(tanh(b*x + a))^2/x^(5/2)","A",0
183,1,55,0,0.360126," ","integrate(x^(7/2)*arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","-\frac{4}{33} \, b x^{\frac{11}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + \frac{2}{9} \, x^{\frac{9}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} - \frac{16}{6435} \, {\left(2 \, b^{2} x^{\frac{15}{2}} - 15 \, b x^{\frac{13}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b"," ",0,"-4/33*b*x^(11/2)*arctanh(tanh(b*x + a))^2 + 2/9*x^(9/2)*arctanh(tanh(b*x + a))^3 - 16/6435*(2*b^2*x^(15/2) - 15*b*x^(13/2)*arctanh(tanh(b*x + a)))*b","A",0
184,1,55,0,0.354820," ","integrate(x^(5/2)*arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","-\frac{4}{21} \, b x^{\frac{9}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + \frac{2}{7} \, x^{\frac{7}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} - \frac{16}{3003} \, {\left(2 \, b^{2} x^{\frac{13}{2}} - 13 \, b x^{\frac{11}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b"," ",0,"-4/21*b*x^(9/2)*arctanh(tanh(b*x + a))^2 + 2/7*x^(7/2)*arctanh(tanh(b*x + a))^3 - 16/3003*(2*b^2*x^(13/2) - 13*b*x^(11/2)*arctanh(tanh(b*x + a)))*b","A",0
185,1,55,0,0.353128," ","integrate(x^(3/2)*arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","-\frac{12}{35} \, b x^{\frac{7}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + \frac{2}{5} \, x^{\frac{5}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} - \frac{16}{1155} \, {\left(2 \, b^{2} x^{\frac{11}{2}} - 11 \, b x^{\frac{9}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b"," ",0,"-12/35*b*x^(7/2)*arctanh(tanh(b*x + a))^2 + 2/5*x^(5/2)*arctanh(tanh(b*x + a))^3 - 16/1155*(2*b^2*x^(11/2) - 11*b*x^(9/2)*arctanh(tanh(b*x + a)))*b","A",0
186,1,55,0,0.357281," ","integrate(arctanh(tanh(b*x+a))^3*x^(1/2),x, algorithm=""maxima"")","-\frac{4}{5} \, b x^{\frac{5}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + \frac{2}{3} \, x^{\frac{3}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} - \frac{16}{315} \, {\left(2 \, b^{2} x^{\frac{9}{2}} - 9 \, b x^{\frac{7}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b"," ",0,"-4/5*b*x^(5/2)*arctanh(tanh(b*x + a))^2 + 2/3*x^(3/2)*arctanh(tanh(b*x + a))^3 - 16/315*(2*b^2*x^(9/2) - 9*b*x^(7/2)*arctanh(tanh(b*x + a)))*b","A",0
187,1,55,0,0.356749," ","integrate(arctanh(tanh(b*x+a))^3/x^(1/2),x, algorithm=""maxima"")","-4 \, b x^{\frac{3}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} + 2 \, \sqrt{x} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3} - \frac{16}{35} \, {\left(2 \, b^{2} x^{\frac{7}{2}} - 7 \, b x^{\frac{5}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b"," ",0,"-4*b*x^(3/2)*arctanh(tanh(b*x + a))^2 + 2*sqrt(x)*arctanh(tanh(b*x + a))^3 - 16/35*(2*b^2*x^(7/2) - 7*b*x^(5/2)*arctanh(tanh(b*x + a)))*b","A",0
188,1,55,0,0.354549," ","integrate(arctanh(tanh(b*x+a))^3/x^(3/2),x, algorithm=""maxima"")","12 \, b \sqrt{x} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2} - \frac{2 \, \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{\sqrt{x}} + \frac{16}{5} \, {\left(2 \, b^{2} x^{\frac{5}{2}} - 5 \, b x^{\frac{3}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b"," ",0,"12*b*sqrt(x)*arctanh(tanh(b*x + a))^2 - 2*arctanh(tanh(b*x + a))^3/sqrt(x) + 16/5*(2*b^2*x^(5/2) - 5*b*x^(3/2)*arctanh(tanh(b*x + a)))*b","A",0
189,1,55,0,0.353929," ","integrate(arctanh(tanh(b*x+a))^3/x^(5/2),x, algorithm=""maxima"")","-\frac{4 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{\sqrt{x}} - \frac{16}{3} \, {\left(2 \, b^{2} x^{\frac{3}{2}} - 3 \, b \sqrt{x} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)\right)} b - \frac{2 \, \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{3 \, x^{\frac{3}{2}}}"," ",0,"-4*b*arctanh(tanh(b*x + a))^2/sqrt(x) - 16/3*(2*b^2*x^(3/2) - 3*b*sqrt(x)*arctanh(tanh(b*x + a)))*b - 2/3*arctanh(tanh(b*x + a))^3/x^(3/2)","A",0
190,1,55,0,0.361891," ","integrate(arctanh(tanh(b*x+a))^3/x^(7/2),x, algorithm=""maxima"")","\frac{16}{5} \, {\left(2 \, b^{2} \sqrt{x} - \frac{b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}{\sqrt{x}}\right)} b - \frac{4 \, b \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{2}}{5 \, x^{\frac{3}{2}}} - \frac{2 \, \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{3}}{5 \, x^{\frac{5}{2}}}"," ",0,"16/5*(2*b^2*sqrt(x) - b*arctanh(tanh(b*x + a))/sqrt(x))*b - 4/5*b*arctanh(tanh(b*x + a))^2/x^(3/2) - 2/5*arctanh(tanh(b*x + a))^3/x^(5/2)","A",0
191,1,65,0,0.428684," ","integrate(x^(7/2)/arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","\frac{2 \, a^{4} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{4}} + \frac{2 \, {\left(15 \, b^{3} x^{\frac{7}{2}} - 21 \, a b^{2} x^{\frac{5}{2}} + 35 \, a^{2} b x^{\frac{3}{2}} - 105 \, a^{3} \sqrt{x}\right)}}{105 \, b^{4}}"," ",0,"2*a^4*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^4) + 2/105*(15*b^3*x^(7/2) - 21*a*b^2*x^(5/2) + 35*a^2*b*x^(3/2) - 105*a^3*sqrt(x))/b^4","A",0
192,1,54,0,0.418123," ","integrate(x^(5/2)/arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{2 \, a^{3} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{3}} + \frac{2 \, {\left(3 \, b^{2} x^{\frac{5}{2}} - 5 \, a b x^{\frac{3}{2}} + 15 \, a^{2} \sqrt{x}\right)}}{15 \, b^{3}}"," ",0,"-2*a^3*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) + 2/15*(3*b^2*x^(5/2) - 5*a*b*x^(3/2) + 15*a^2*sqrt(x))/b^3","A",0
193,1,42,0,0.417478," ","integrate(x^(3/2)/arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","\frac{2 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}} + \frac{2 \, {\left(b x^{\frac{3}{2}} - 3 \, a \sqrt{x}\right)}}{3 \, b^{2}}"," ",0,"2*a^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2) + 2/3*(b*x^(3/2) - 3*a*sqrt(x))/b^2","A",0
194,1,31,0,0.415085," ","integrate(x^(1/2)/arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{2 \, a \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b} + \frac{2 \, \sqrt{x}}{b}"," ",0,"-2*a*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b) + 2*sqrt(x)/b","A",0
195,1,18,0,0.420207," ","integrate(1/arctanh(tanh(b*x+a))/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"2*arctan(b*sqrt(x)/sqrt(a*b))/sqrt(a*b)","A",0
196,1,31,0,0.423130," ","integrate(1/x^(3/2)/arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{2 \, b \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a} - \frac{2}{a \sqrt{x}}"," ",0,"-2*b*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a) - 2/(a*sqrt(x))","A",0
197,1,41,0,0.434727," ","integrate(1/x^(5/2)/arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","\frac{2 \, b^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}} + \frac{2 \, {\left(3 \, b x - a\right)}}{3 \, a^{2} x^{\frac{3}{2}}}"," ",0,"2*b^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2) + 2/3*(3*b*x - a)/(a^2*x^(3/2))","A",0
198,1,52,0,0.419568," ","integrate(1/x^(7/2)/arctanh(tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{2 \, b^{3} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{3}} - \frac{2 \, {\left(15 \, b^{2} x^{2} - 5 \, a b x + 3 \, a^{2}\right)}}{15 \, a^{3} x^{\frac{5}{2}}}"," ",0,"-2*b^3*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3) - 2/15*(15*b^2*x^2 - 5*a*b*x + 3*a^2)/(a^3*x^(5/2))","A",0
199,1,75,0,0.423817," ","integrate(x^(7/2)/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{6 \, b^{3} x^{\frac{7}{2}} - 14 \, a b^{2} x^{\frac{5}{2}} + 70 \, a^{2} b x^{\frac{3}{2}} + 105 \, a^{3} \sqrt{x}}{15 \, {\left(b^{5} x + a b^{4}\right)}} - \frac{7 \, a^{3} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{4}}"," ",0,"1/15*(6*b^3*x^(7/2) - 14*a*b^2*x^(5/2) + 70*a^2*b*x^(3/2) + 105*a^3*sqrt(x))/(b^5*x + a*b^4) - 7*a^3*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^4)","A",0
200,1,64,0,0.424257," ","integrate(x^(5/2)/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{2 \, b^{2} x^{\frac{5}{2}} - 10 \, a b x^{\frac{3}{2}} - 15 \, a^{2} \sqrt{x}}{3 \, {\left(b^{4} x + a b^{3}\right)}} + \frac{5 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{3}}"," ",0,"1/3*(2*b^2*x^(5/2) - 10*a*b*x^(3/2) - 15*a^2*sqrt(x))/(b^4*x + a*b^3) + 5*a^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3)","A",0
201,1,50,0,0.419966," ","integrate(x^(3/2)/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{2 \, b x^{\frac{3}{2}} + 3 \, a \sqrt{x}}{b^{3} x + a b^{2}} - \frac{3 \, a \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}}"," ",0,"(2*b*x^(3/2) + 3*a*sqrt(x))/(b^3*x + a*b^2) - 3*a*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2)","A",0
202,1,37,0,0.420021," ","integrate(x^(1/2)/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","-\frac{\sqrt{x}}{b^{2} x + a b} + \frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b}"," ",0,"-sqrt(x)/(b^2*x + a*b) + arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b)","A",0
203,1,35,0,0.419101," ","integrate(1/arctanh(tanh(b*x+a))^2/x^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x}}{a b x + a^{2}} + \frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a}"," ",0,"sqrt(x)/(a*b*x + a^2) + arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a)","A",0
204,1,51,0,0.418460," ","integrate(1/x^(3/2)/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","-\frac{3 \, b x + 2 \, a}{a^{2} b x^{\frac{3}{2}} + a^{3} \sqrt{x}} - \frac{3 \, b \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}}"," ",0,"-(3*b*x + 2*a)/(a^2*b*x^(3/2) + a^3*sqrt(x)) - 3*b*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2)","A",0
205,1,64,0,0.421607," ","integrate(1/x^(5/2)/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","\frac{15 \, b^{2} x^{2} + 10 \, a b x - 2 \, a^{2}}{3 \, {\left(a^{3} b x^{\frac{5}{2}} + a^{4} x^{\frac{3}{2}}\right)}} + \frac{5 \, b^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{3}}"," ",0,"1/3*(15*b^2*x^2 + 10*a*b*x - 2*a^2)/(a^3*b*x^(5/2) + a^4*x^(3/2)) + 5*b^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3)","A",0
206,1,75,0,0.424552," ","integrate(1/x^(7/2)/arctanh(tanh(b*x+a))^2,x, algorithm=""maxima"")","-\frac{105 \, b^{3} x^{3} + 70 \, a b^{2} x^{2} - 14 \, a^{2} b x + 6 \, a^{3}}{15 \, {\left(a^{4} b x^{\frac{7}{2}} + a^{5} x^{\frac{5}{2}}\right)}} - \frac{7 \, b^{3} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{4}}"," ",0,"-1/15*(105*b^3*x^3 + 70*a*b^2*x^2 - 14*a^2*b*x + 6*a^3)/(a^4*b*x^(7/2) + a^5*x^(5/2)) - 7*b^3*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^4)","A",0
207,1,86,0,0.444826," ","integrate(x^(7/2)/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","\frac{8 \, b^{3} x^{\frac{7}{2}} - 56 \, a b^{2} x^{\frac{5}{2}} - 175 \, a^{2} b x^{\frac{3}{2}} - 105 \, a^{3} \sqrt{x}}{12 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}} + \frac{35 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{4}}"," ",0,"1/12*(8*b^3*x^(7/2) - 56*a*b^2*x^(5/2) - 175*a^2*b*x^(3/2) - 105*a^3*sqrt(x))/(b^6*x^2 + 2*a*b^5*x + a^2*b^4) + 35/4*a^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^4)","A",0
208,1,73,0,0.441511," ","integrate(x^(5/2)/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","\frac{8 \, b^{2} x^{\frac{5}{2}} + 25 \, a b x^{\frac{3}{2}} + 15 \, a^{2} \sqrt{x}}{4 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}} - \frac{15 \, a \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{3}}"," ",0,"1/4*(8*b^2*x^(5/2) + 25*a*b*x^(3/2) + 15*a^2*sqrt(x))/(b^5*x^2 + 2*a*b^4*x + a^2*b^3) - 15/4*a*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3)","A",0
209,1,61,0,0.428784," ","integrate(x^(3/2)/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","-\frac{5 \, b x^{\frac{3}{2}} + 3 \, a \sqrt{x}}{4 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)}} + \frac{3 \, \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{2}}"," ",0,"-1/4*(5*b*x^(3/2) + 3*a*sqrt(x))/(b^4*x^2 + 2*a*b^3*x + a^2*b^2) + 3/4*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2)","A",0
210,1,64,0,0.430301," ","integrate(x^(1/2)/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","\frac{b x^{\frac{3}{2}} - a \sqrt{x}}{4 \, {\left(a b^{3} x^{2} + 2 \, a^{2} b^{2} x + a^{3} b\right)}} + \frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a b}"," ",0,"1/4*(b*x^(3/2) - a*sqrt(x))/(a*b^3*x^2 + 2*a^2*b^2*x + a^3*b) + 1/4*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a*b)","A",0
211,1,60,0,0.430892," ","integrate(1/arctanh(tanh(b*x+a))^3/x^(1/2),x, algorithm=""maxima"")","\frac{3 \, b x^{\frac{3}{2}} + 5 \, a \sqrt{x}}{4 \, {\left(a^{2} b^{2} x^{2} + 2 \, a^{3} b x + a^{4}\right)}} + \frac{3 \, \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{2}}"," ",0,"1/4*(3*b*x^(3/2) + 5*a*sqrt(x))/(a^2*b^2*x^2 + 2*a^3*b*x + a^4) + 3/4*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2)","A",0
212,1,73,0,0.425998," ","integrate(1/x^(3/2)/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","-\frac{15 \, b^{2} x^{2} + 25 \, a b x + 8 \, a^{2}}{4 \, {\left(a^{3} b^{2} x^{\frac{5}{2}} + 2 \, a^{4} b x^{\frac{3}{2}} + a^{5} \sqrt{x}\right)}} - \frac{15 \, b \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{3}}"," ",0,"-1/4*(15*b^2*x^2 + 25*a*b*x + 8*a^2)/(a^3*b^2*x^(5/2) + 2*a^4*b*x^(3/2) + a^5*sqrt(x)) - 15/4*b*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3)","A",0
213,1,86,0,0.432641," ","integrate(1/x^(5/2)/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","\frac{105 \, b^{3} x^{3} + 175 \, a b^{2} x^{2} + 56 \, a^{2} b x - 8 \, a^{3}}{12 \, {\left(a^{4} b^{2} x^{\frac{7}{2}} + 2 \, a^{5} b x^{\frac{5}{2}} + a^{6} x^{\frac{3}{2}}\right)}} + \frac{35 \, b^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{4}}"," ",0,"1/12*(105*b^3*x^3 + 175*a*b^2*x^2 + 56*a^2*b*x - 8*a^3)/(a^4*b^2*x^(7/2) + 2*a^5*b*x^(5/2) + a^6*x^(3/2)) + 35/4*b^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^4)","A",0
214,1,97,0,0.428498," ","integrate(1/x^(7/2)/arctanh(tanh(b*x+a))^3,x, algorithm=""maxima"")","-\frac{315 \, b^{4} x^{4} + 525 \, a b^{3} x^{3} + 168 \, a^{2} b^{2} x^{2} - 24 \, a^{3} b x + 8 \, a^{4}}{20 \, {\left(a^{5} b^{2} x^{\frac{9}{2}} + 2 \, a^{6} b x^{\frac{7}{2}} + a^{7} x^{\frac{5}{2}}\right)}} - \frac{63 \, b^{3} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{5}}"," ",0,"-1/20*(315*b^4*x^4 + 525*a*b^3*x^3 + 168*a^2*b^2*x^2 - 24*a^3*b*x + 8*a^4)/(a^5*b^2*x^(9/2) + 2*a^6*b*x^(7/2) + a^7*x^(5/2)) - 63/4*b^3*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^5)","A",0
215,0,0,0,0.000000," ","integrate(x^(3/2)*arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\int x^{\frac{3}{2}} \sqrt{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}\,{d x}"," ",0,"integrate(x^(3/2)*sqrt(arctanh(tanh(b*x + a))), x)","F",0
216,0,0,0,0.000000," ","integrate(x^(1/2)*arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \sqrt{x} \sqrt{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}\,{d x}"," ",0,"integrate(sqrt(x)*sqrt(arctanh(tanh(b*x + a))), x)","F",0
217,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}}{\sqrt{x}}\,{d x}"," ",0,"integrate(sqrt(arctanh(tanh(b*x + a)))/sqrt(x), x)","F",0
218,1,40,0,0.462083," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^(3/2),x, algorithm=""maxima"")","2 \, \sqrt{b} \log\left(\frac{b \sqrt{x}}{\sqrt{a b}} + \sqrt{\frac{b x}{a} + 1}\right) - \frac{2 \, \sqrt{b x + a}}{\sqrt{x}}"," ",0,"2*sqrt(b)*log(b*sqrt(x)/sqrt(a*b) + sqrt(b*x/a + 1)) - 2*sqrt(b*x + a)/sqrt(x)","A",0
219,1,15,0,0.422327," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(b x + a\right)}^{\frac{3}{2}}}{3 \, a x^{\frac{3}{2}}}"," ",0,"-2/3*(b*x + a)^(3/2)/(a*x^(3/2))","A",0
220,1,34,0,0.435567," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, b^{2} x^{2} - a b x - 3 \, a^{2}\right)} \sqrt{b x + a}}{15 \, a^{2} x^{\frac{5}{2}}}"," ",0,"2/15*(2*b^2*x^2 - a*b*x - 3*a^2)*sqrt(b*x + a)/(a^2*x^(5/2))","A",0
221,1,45,0,0.429564," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^(9/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(8 \, b^{3} x^{3} - 4 \, a b^{2} x^{2} + 3 \, a^{2} b x + 15 \, a^{3}\right)} \sqrt{b x + a}}{105 \, a^{3} x^{\frac{7}{2}}}"," ",0,"-2/105*(8*b^3*x^3 - 4*a*b^2*x^2 + 3*a^2*b*x + 15*a^3)*sqrt(b*x + a)/(a^3*x^(7/2))","A",0
222,1,56,0,0.431100," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^(11/2),x, algorithm=""maxima"")","\frac{2 \, {\left(16 \, b^{4} x^{4} - 8 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} - 5 \, a^{3} b x - 35 \, a^{4}\right)} \sqrt{b x + a}}{315 \, a^{4} x^{\frac{9}{2}}}"," ",0,"2/315*(16*b^4*x^4 - 8*a*b^3*x^3 + 6*a^2*b^2*x^2 - 5*a^3*b*x - 35*a^4)*sqrt(b*x + a)/(a^4*x^(9/2))","A",0
223,0,0,0,0.000000," ","integrate(x^(3/2)*arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\int x^{\frac{3}{2}} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(x^(3/2)*arctanh(tanh(b*x + a))^(3/2), x)","F",0
224,0,0,0,0.000000," ","integrate(x^(1/2)*arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \sqrt{x} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(x)*arctanh(tanh(b*x + a))^(3/2), x)","F",0
225,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^(1/2),x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}{\sqrt{x}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(3/2)/sqrt(x), x)","F",0
226,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^(3/2),x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(3/2)/x^(3/2), x)","F",0
227,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^(5/2),x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(3/2)/x^(5/2), x)","F",0
228,1,15,0,0.440205," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^(7/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}}}{5 \, a x^{\frac{5}{2}}}"," ",0,"-2/5*(b*x + a)^(5/2)/(a*x^(5/2))","A",0
229,1,34,0,0.429626," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, b^{2} x^{2} - 3 \, a b x - 5 \, a^{2}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}{35 \, a^{2} x^{\frac{7}{2}}}"," ",0,"2/35*(2*b^2*x^2 - 3*a*b*x - 5*a^2)*(b*x + a)^(3/2)/(a^2*x^(7/2))","A",0
230,1,45,0,0.436378," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^(11/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(8 \, b^{3} x^{3} - 12 \, a b^{2} x^{2} + 15 \, a^{2} b x + 35 \, a^{3}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}{315 \, a^{3} x^{\frac{9}{2}}}"," ",0,"-2/315*(8*b^3*x^3 - 12*a*b^2*x^2 + 15*a^2*b*x + 35*a^3)*(b*x + a)^(3/2)/(a^3*x^(9/2))","A",0
231,1,56,0,0.441108," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^(13/2),x, algorithm=""maxima"")","\frac{2 \, {\left(16 \, b^{4} x^{4} - 24 \, a b^{3} x^{3} + 30 \, a^{2} b^{2} x^{2} - 35 \, a^{3} b x - 105 \, a^{4}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}{1155 \, a^{4} x^{\frac{11}{2}}}"," ",0,"2/1155*(16*b^4*x^4 - 24*a*b^3*x^3 + 30*a^2*b^2*x^2 - 35*a^3*b*x - 105*a^4)*(b*x + a)^(3/2)/(a^4*x^(11/2))","A",0
232,0,0,0,0.000000," ","integrate(x^(1/2)*arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \sqrt{x} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sqrt(x)*arctanh(tanh(b*x + a))^(5/2), x)","F",0
233,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(1/2),x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}{\sqrt{x}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(5/2)/sqrt(x), x)","F",0
234,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(3/2),x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(5/2)/x^(3/2), x)","F",0
235,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(5/2),x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(5/2)/x^(5/2), x)","F",0
236,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(7/2),x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}{x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^(5/2)/x^(7/2), x)","F",0
237,1,15,0,0.419447," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(9/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(b x + a\right)}^{\frac{7}{2}}}{7 \, a x^{\frac{7}{2}}}"," ",0,"-2/7*(b*x + a)^(7/2)/(a*x^(7/2))","A",0
238,1,34,0,0.429983," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(11/2),x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, b^{2} x^{2} - 5 \, a b x - 7 \, a^{2}\right)} {\left(b x + a\right)}^{\frac{5}{2}}}{63 \, a^{2} x^{\frac{9}{2}}}"," ",0,"2/63*(2*b^2*x^2 - 5*a*b*x - 7*a^2)*(b*x + a)^(5/2)/(a^2*x^(9/2))","A",0
239,1,45,0,0.422017," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(13/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(8 \, b^{3} x^{3} - 20 \, a b^{2} x^{2} + 35 \, a^{2} b x + 63 \, a^{3}\right)} {\left(b x + a\right)}^{\frac{5}{2}}}{693 \, a^{3} x^{\frac{11}{2}}}"," ",0,"-2/693*(8*b^3*x^3 - 20*a*b^2*x^2 + 35*a^2*b*x + 63*a^3)*(b*x + a)^(5/2)/(a^3*x^(11/2))","A",0
240,1,56,0,0.419919," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(15/2),x, algorithm=""maxima"")","\frac{2 \, {\left(16 \, b^{4} x^{4} - 40 \, a b^{3} x^{3} + 70 \, a^{2} b^{2} x^{2} - 105 \, a^{3} b x - 231 \, a^{4}\right)} {\left(b x + a\right)}^{\frac{5}{2}}}{3003 \, a^{4} x^{\frac{13}{2}}}"," ",0,"2/3003*(16*b^4*x^4 - 40*a*b^3*x^3 + 70*a^2*b^2*x^2 - 105*a^3*b*x - 231*a^4)*(b*x + a)^(5/2)/(a^4*x^(13/2))","A",0
241,0,0,0,0.000000," ","integrate(x^(5/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{\frac{5}{2}}}{\sqrt{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}}\,{d x}"," ",0,"integrate(x^(5/2)/sqrt(arctanh(tanh(b*x + a))), x)","F",0
242,0,0,0,0.000000," ","integrate(x^(3/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{\frac{3}{2}}}{\sqrt{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}}\,{d x}"," ",0,"integrate(x^(3/2)/sqrt(arctanh(tanh(b*x + a))), x)","F",0
243,0,0,0,0.000000," ","integrate(x^(1/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x}}{\sqrt{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}}\,{d x}"," ",0,"integrate(sqrt(x)/sqrt(arctanh(tanh(b*x + a))), x)","F",0
244,0,0,0,0.000000," ","integrate(1/x^(1/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x} \sqrt{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(x)*sqrt(arctanh(tanh(b*x + a)))), x)","F",0
245,1,15,0,0.431326," ","integrate(1/x^(3/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{b x + a}}{a \sqrt{x}}"," ",0,"-2*sqrt(b*x + a)/(a*sqrt(x))","A",0
246,1,33,0,0.429227," ","integrate(1/x^(5/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, b^{2} x^{2} + a b x - a^{2}\right)}}{3 \, \sqrt{b x + a} a^{2} x^{\frac{3}{2}}}"," ",0,"2/3*(2*b^2*x^2 + a*b*x - a^2)/(sqrt(b*x + a)*a^2*x^(3/2))","A",0
247,1,45,0,0.438696," ","integrate(1/x^(7/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(8 \, b^{3} x^{3} + 4 \, a b^{2} x^{2} - a^{2} b x + 3 \, a^{3}\right)}}{15 \, \sqrt{b x + a} a^{3} x^{\frac{5}{2}}}"," ",0,"-2/15*(8*b^3*x^3 + 4*a*b^2*x^2 - a^2*b*x + 3*a^3)/(sqrt(b*x + a)*a^3*x^(5/2))","A",0
248,1,55,0,0.434024," ","integrate(1/x^(9/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(16 \, b^{4} x^{4} + 8 \, a b^{3} x^{3} - 2 \, a^{2} b^{2} x^{2} + a^{3} b x - 5 \, a^{4}\right)}}{35 \, \sqrt{b x + a} a^{4} x^{\frac{7}{2}}}"," ",0,"2/35*(16*b^4*x^4 + 8*a*b^3*x^3 - 2*a^2*b^2*x^2 + a^3*b*x - 5*a^4)/(sqrt(b*x + a)*a^4*x^(7/2))","A",0
249,0,0,0,0.000000," ","integrate(x^(7/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{\frac{7}{2}}}{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^(7/2)/arctanh(tanh(b*x + a))^(3/2), x)","F",0
250,0,0,0,0.000000," ","integrate(x^(5/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{\frac{5}{2}}}{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^(5/2)/arctanh(tanh(b*x + a))^(3/2), x)","F",0
251,0,0,0,0.000000," ","integrate(x^(3/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{\frac{3}{2}}}{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^(3/2)/arctanh(tanh(b*x + a))^(3/2), x)","F",0
252,0,0,0,0.000000," ","integrate(x^(1/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x}}{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(x)/arctanh(tanh(b*x + a))^(3/2), x)","F",0
253,0,0,0,0.000000," ","integrate(1/x^(1/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(x)*arctanh(tanh(b*x + a))^(3/2)), x)","F",0
254,1,32,0,0.426936," ","integrate(1/x^(3/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(2 \, b^{2} x^{2} + 3 \, a b x + a^{2}\right)}}{{\left(b x + a\right)}^{\frac{3}{2}} a^{2} \sqrt{x}}"," ",0,"-2*(2*b^2*x^2 + 3*a*b*x + a^2)/((b*x + a)^(3/2)*a^2*sqrt(x))","A",0
255,1,45,0,0.424985," ","integrate(1/x^(5/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(8 \, b^{3} x^{3} + 12 \, a b^{2} x^{2} + 3 \, a^{2} b x - a^{3}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} x^{\frac{3}{2}}}"," ",0,"2/3*(8*b^3*x^3 + 12*a*b^2*x^2 + 3*a^2*b*x - a^3)/((b*x + a)^(3/2)*a^3*x^(3/2))","A",0
256,1,54,0,0.434585," ","integrate(1/x^(7/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(16 \, b^{4} x^{4} + 24 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} - a^{3} b x + a^{4}\right)}}{5 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} x^{\frac{5}{2}}}"," ",0,"-2/5*(16*b^4*x^4 + 24*a*b^3*x^3 + 6*a^2*b^2*x^2 - a^3*b*x + a^4)/((b*x + a)^(3/2)*a^4*x^(5/2))","A",0
257,0,0,0,0.000000," ","integrate(x^(7/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{x^{\frac{7}{2}}}{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^(7/2)/arctanh(tanh(b*x + a))^(5/2), x)","F",0
258,0,0,0,0.000000," ","integrate(x^(5/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{x^{\frac{5}{2}}}{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^(5/2)/arctanh(tanh(b*x + a))^(5/2), x)","F",0
259,0,0,0,0.000000," ","integrate(x^(3/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{x^{\frac{3}{2}}}{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^(3/2)/arctanh(tanh(b*x + a))^(5/2), x)","F",0
260,0,0,0,0.000000," ","integrate(x^(1/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{x}}{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(x)/arctanh(tanh(b*x + a))^(5/2), x)","F",0
261,0,0,0,0.000000," ","integrate(1/x^(1/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(x)*arctanh(tanh(b*x + a))^(5/2)), x)","F",0
262,1,45,0,0.437006," ","integrate(1/x^(3/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(8 \, b^{3} x^{3} + 20 \, a b^{2} x^{2} + 15 \, a^{2} b x + 3 \, a^{3}\right)}}{3 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} \sqrt{x}}"," ",0,"-2/3*(8*b^3*x^3 + 20*a*b^2*x^2 + 15*a^2*b*x + 3*a^3)/((b*x + a)^(5/2)*a^3*sqrt(x))","A",0
263,1,56,0,0.434699," ","integrate(1/x^(5/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(16 \, b^{4} x^{4} + 40 \, a b^{3} x^{3} + 30 \, a^{2} b^{2} x^{2} + 5 \, a^{3} b x - a^{4}\right)}}{3 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} x^{\frac{3}{2}}}"," ",0,"2/3*(16*b^4*x^4 + 40*a*b^3*x^3 + 30*a^2*b^2*x^2 + 5*a^3*b*x - a^4)/((b*x + a)^(5/2)*a^4*x^(3/2))","A",0
264,1,67,0,0.437951," ","integrate(1/x^(7/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(128 \, b^{5} x^{5} + 320 \, a b^{4} x^{4} + 240 \, a^{2} b^{3} x^{3} + 40 \, a^{3} b^{2} x^{2} - 5 \, a^{4} b x + 3 \, a^{5}\right)}}{15 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{5} x^{\frac{5}{2}}}"," ",0,"-2/15*(128*b^5*x^5 + 320*a*b^4*x^4 + 240*a^2*b^3*x^3 + 40*a^3*b^2*x^2 - 5*a^4*b*x + 3*a^5)/((b*x + a)^(5/2)*a^5*x^(5/2))","A",0
265,0,0,0,0.000000," ","integrate(x^m*arctanh(tanh(b*x+a))^n,x, algorithm=""maxima"")","\int x^{m} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{n}\,{d x}"," ",0,"integrate(x^m*arctanh(tanh(b*x + a))^n, x)","F",0
266,1,139,0,0.532430," ","integrate(x^4*arctanh(tanh(b*x+a))^n,x, algorithm=""maxima"")","\frac{{\left({\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{5} x^{5} + {\left(n^{4} + 6 \, n^{3} + 11 \, n^{2} + 6 \, n\right)} a b^{4} x^{4} - 4 \, {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a^{2} b^{3} x^{3} + 12 \, {\left(n^{2} + n\right)} a^{3} b^{2} x^{2} - 24 \, a^{4} b n x + 24 \, a^{5}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{5} + 15 \, n^{4} + 85 \, n^{3} + 225 \, n^{2} + 274 \, n + 120\right)} b^{5}}"," ",0,"((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^5*x^5 + (n^4 + 6*n^3 + 11*n^2 + 6*n)*a*b^4*x^4 - 4*(n^3 + 3*n^2 + 2*n)*a^2*b^3*x^3 + 12*(n^2 + n)*a^3*b^2*x^2 - 24*a^4*b*n*x + 24*a^5)*(b*x + a)^n/((n^5 + 15*n^4 + 85*n^3 + 225*n^2 + 274*n + 120)*b^5)","A",0
267,1,101,0,0.535126," ","integrate(x^3*arctanh(tanh(b*x+a))^n,x, algorithm=""maxima"")","\frac{{\left({\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{4} x^{4} + {\left(n^{3} + 3 \, n^{2} + 2 \, n\right)} a b^{3} x^{3} - 3 \, {\left(n^{2} + n\right)} a^{2} b^{2} x^{2} + 6 \, a^{3} b n x - 6 \, a^{4}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{4} + 10 \, n^{3} + 35 \, n^{2} + 50 \, n + 24\right)} b^{4}}"," ",0,"((n^3 + 6*n^2 + 11*n + 6)*b^4*x^4 + (n^3 + 3*n^2 + 2*n)*a*b^3*x^3 - 3*(n^2 + n)*a^2*b^2*x^2 + 6*a^3*b*n*x - 6*a^4)*(b*x + a)^n/((n^4 + 10*n^3 + 35*n^2 + 50*n + 24)*b^4)","A",0
268,1,68,0,0.539726," ","integrate(x^2*arctanh(tanh(b*x+a))^n,x, algorithm=""maxima"")","\frac{{\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} x^{3} + {\left(n^{2} + n\right)} a b^{2} x^{2} - 2 \, a^{2} b n x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3}}"," ",0,"((n^2 + 3*n + 2)*b^3*x^3 + (n^2 + n)*a*b^2*x^2 - 2*a^2*b*n*x + 2*a^3)*(b*x + a)^n/((n^3 + 6*n^2 + 11*n + 6)*b^3)","A",0
269,1,42,0,0.539696," ","integrate(x*arctanh(tanh(b*x+a))^n,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(n + 1\right)} x^{2} + a b n x - a^{2}\right)} {\left(b x + a\right)}^{n}}{{\left(n^{2} + 3 \, n + 2\right)} b^{2}}"," ",0,"(b^2*(n + 1)*x^2 + a*b*n*x - a^2)*(b*x + a)^n/((n^2 + 3*n + 2)*b^2)","A",0
270,1,21,0,0.497050," ","integrate(arctanh(tanh(b*x+a))^n,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)} {\left(b x + a\right)}^{n}}{b {\left(n + 1\right)}}"," ",0,"(b*x + a)*(b*x + a)^n/(b*(n + 1))","A",0
271,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^n/x,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{n}}{x}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^n/x, x)","F",0
272,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^n/x^2,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{n}}{x^{2}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^n/x^2, x)","F",0
273,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^n/x^3,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{n}}{x^{3}}\,{d x}"," ",0,"integrate(arctanh(tanh(b*x + a))^n/x^3, x)","F",0
274,1,38,0,0.329341," ","integrate(x^m*arccoth(tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{b x^{2} x^{m}}{{\left(m + 2\right)} {\left(m + 1\right)}} + \frac{x^{m + 1} \operatorname{arcoth}\left(\tanh\left(b x + a\right)\right)}{m + 1}"," ",0,"-b*x^2*x^m/((m + 2)*(m + 1)) + x^(m + 1)*arccoth(tanh(b*x + a))/(m + 1)","A",0
275,1,19,0,0.387053," ","integrate(x^2*arctanh(coth(b*x+a)),x, algorithm=""maxima"")","-\frac{1}{12} \, b x^{4} + \frac{1}{3} \, x^{3} \operatorname{artanh}\left(\coth\left(b x + a\right)\right)"," ",0,"-1/12*b*x^4 + 1/3*x^3*arctanh(coth(b*x + a))","A",0
276,1,19,0,0.386179," ","integrate(x*arctanh(coth(b*x+a)),x, algorithm=""maxima"")","-\frac{1}{6} \, b x^{3} + \frac{1}{2} \, x^{2} \operatorname{artanh}\left(\coth\left(b x + a\right)\right)"," ",0,"-1/6*b*x^3 + 1/2*x^2*arctanh(coth(b*x + a))","A",0
277,1,16,0,0.383947," ","integrate(arctanh(coth(b*x+a)),x, algorithm=""maxima"")","-\frac{1}{2} \, b x^{2} + x \operatorname{artanh}\left(\coth\left(b x + a\right)\right)"," ",0,"-1/2*b*x^2 + x*arctanh(coth(b*x + a))","A",0
278,1,34,0,0.330321," ","integrate(arctanh(coth(b*x+a))/x,x, algorithm=""maxima"")","-b {\left(x + \frac{a}{b}\right)} \log\left(x\right) + b {\left(x + \frac{a \log\left(x\right)}{b}\right)} + \operatorname{artanh}\left(\coth\left(b x + a\right)\right) \log\left(x\right)"," ",0,"-b*(x + a/b)*log(x) + b*(x + a*log(x)/b) + arctanh(coth(b*x + a))*log(x)","A",0
279,1,17,0,0.382161," ","integrate(arctanh(coth(b*x+a))/x^2,x, algorithm=""maxima"")","b \log\left(x\right) - \frac{\operatorname{artanh}\left(\coth\left(b x + a\right)\right)}{x}"," ",0,"b*log(x) - arctanh(coth(b*x + a))/x","A",0
280,1,19,0,0.390012," ","integrate(arctanh(coth(b*x+a))/x^3,x, algorithm=""maxima"")","-\frac{b}{2 \, x} - \frac{\operatorname{artanh}\left(\coth\left(b x + a\right)\right)}{2 \, x^{2}}"," ",0,"-1/2*b/x - 1/2*arctanh(coth(b*x + a))/x^2","A",0
281,1,33,0,0.372230," ","integrate(arctanh(cosh(x)),x, algorithm=""maxima"")","x \operatorname{artanh}\left(\cosh\left(x\right)\right) - x \log\left(e^{x} + 1\right) + x \log\left(-e^{x} + 1\right) - {\rm Li}_2\left(-e^{x}\right) + {\rm Li}_2\left(e^{x}\right)"," ",0,"x*arctanh(cosh(x)) - x*log(e^x + 1) + x*log(-e^x + 1) - dilog(-e^x) + dilog(e^x)","A",0
282,1,56,0,0.378661," ","integrate(x*arctanh(cosh(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \operatorname{artanh}\left(\cosh\left(x\right)\right) - \frac{1}{2} \, x^{2} \log\left(e^{x} + 1\right) + \frac{1}{2} \, x^{2} \log\left(-e^{x} + 1\right) - x {\rm Li}_2\left(-e^{x}\right) + x {\rm Li}_2\left(e^{x}\right) + {\rm Li}_{3}(-e^{x}) - {\rm Li}_{3}(e^{x})"," ",0,"1/2*x^2*arctanh(cosh(x)) - 1/2*x^2*log(e^x + 1) + 1/2*x^2*log(-e^x + 1) - x*dilog(-e^x) + x*dilog(e^x) + polylog(3, -e^x) - polylog(3, e^x)","A",0
283,1,78,0,0.376195," ","integrate(x^2*arctanh(cosh(x)),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \operatorname{artanh}\left(\cosh\left(x\right)\right) - \frac{1}{3} \, x^{3} \log\left(e^{x} + 1\right) + \frac{1}{3} \, x^{3} \log\left(-e^{x} + 1\right) - x^{2} {\rm Li}_2\left(-e^{x}\right) + x^{2} {\rm Li}_2\left(e^{x}\right) + 2 \, x {\rm Li}_{3}(-e^{x}) - 2 \, x {\rm Li}_{3}(e^{x}) - 2 \, {\rm Li}_{4}(-e^{x}) + 2 \, {\rm Li}_{4}(e^{x})"," ",0,"1/3*x^3*arctanh(cosh(x)) - 1/3*x^3*log(e^x + 1) + 1/3*x^3*log(-e^x + 1) - x^2*dilog(-e^x) + x^2*dilog(e^x) + 2*x*polylog(3, -e^x) - 2*x*polylog(3, e^x) - 2*polylog(4, -e^x) + 2*polylog(4, e^x)","A",0
284,1,281,0,0.717513," ","integrate(x^2*arctanh(c+d*tanh(b*x+a)),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \operatorname{artanh}\left(d \tanh\left(b x + a\right) + c\right) - \frac{1}{18} \, b d {\left(\frac{4 \, b^{3} x^{3} \log\left(\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1} + 1\right) + 6 \, b^{2} x^{2} {\rm Li}_2\left(-\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1}\right) - 6 \, b x {\rm Li}_{3}(-\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1}) + 3 \, {\rm Li}_{4}(-\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1})}{b^{4} d} - \frac{4 \, b^{3} x^{3} \log\left(\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1} + 1\right) + 6 \, b^{2} x^{2} {\rm Li}_2\left(-\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1}\right) - 6 \, b x {\rm Li}_{3}(-\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1}) + 3 \, {\rm Li}_{4}(-\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1})}{b^{4} d}\right)}"," ",0,"1/3*x^3*arctanh(d*tanh(b*x + a) + c) - 1/18*b*d*((4*b^3*x^3*log((c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1) + 1) + 6*b^2*x^2*dilog(-(c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1)) - 6*b*x*polylog(3, -(c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1)) + 3*polylog(4, -(c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1)))/(b^4*d) - (4*b^3*x^3*log((c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1) + 1) + 6*b^2*x^2*dilog(-(c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1)) - 6*b*x*polylog(3, -(c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1)) + 3*polylog(4, -(c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1)))/(b^4*d))","A",0
285,1,215,0,0.716026," ","integrate(x*arctanh(c+d*tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{1}{8} \, b d {\left(\frac{2 \, b^{2} x^{2} \log\left(\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1} + 1\right) + 2 \, b x {\rm Li}_2\left(-\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1}\right) - {\rm Li}_{3}(-\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1})}{b^{3} d} - \frac{2 \, b^{2} x^{2} \log\left(\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1} + 1\right) + 2 \, b x {\rm Li}_2\left(-\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1}\right) - {\rm Li}_{3}(-\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1})}{b^{3} d}\right)} + \frac{1}{2} \, x^{2} \operatorname{artanh}\left(d \tanh\left(b x + a\right) + c\right)"," ",0,"-1/8*b*d*((2*b^2*x^2*log((c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1) + 1) + 2*b*x*dilog(-(c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1)) - polylog(3, -(c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1)))/(b^3*d) - (2*b^2*x^2*log((c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1) + 1) + 2*b*x*dilog(-(c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1)) - polylog(3, -(c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1)))/(b^3*d)) + 1/2*x^2*arctanh(d*tanh(b*x + a) + c)","A",0
286,1,142,0,0.694588," ","integrate(arctanh(c+d*tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{1}{4} \, b d {\left(\frac{2 \, b x \log\left(\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1} + 1\right) + {\rm Li}_2\left(-\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1}\right)}{b^{2} d} - \frac{2 \, b x \log\left(\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1} + 1\right) + {\rm Li}_2\left(-\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1}\right)}{b^{2} d}\right)} + x \operatorname{artanh}\left(d \tanh\left(b x + a\right) + c\right)"," ",0,"-1/4*b*d*((2*b*x*log((c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1) + 1) + dilog(-(c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1)))/(b^2*d) - (2*b*x*log((c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1) + 1) + dilog(-(c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1)))/(b^2*d)) + x*arctanh(d*tanh(b*x + a) + c)","A",0
287,0,0,0,0.000000," ","integrate(arctanh(c+d*tanh(b*x+a))/x,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(d \tanh\left(b x + a\right) + c\right)}{x}\,{d x}"," ",0,"integrate(arctanh(d*tanh(b*x + a) + c)/x, x)","F",0
288,1,149,0,1.127072," ","integrate(x^3*arctanh(1+d+d*tanh(b*x+a)),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} \operatorname{artanh}\left(d \tanh\left(b x + a\right) + d + 1\right) + \frac{1}{40} \, {\left(\frac{2 \, x^{5}}{d} - \frac{5 \, {\left(2 \, b^{4} x^{4} \log\left({\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 4 \, b^{3} x^{3} {\rm Li}_2\left(-{\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right) - 6 \, b^{2} x^{2} {\rm Li}_{3}(-{\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}) + 6 \, b x {\rm Li}_{4}(-{\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}) - 3 \, {\rm Li}_{5}(-{\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)})\right)}}{b^{5} d}\right)} b d"," ",0,"1/4*x^4*arctanh(d*tanh(b*x + a) + d + 1) + 1/40*(2*x^5/d - 5*(2*b^4*x^4*log((d + 1)*e^(2*b*x + 2*a) + 1) + 4*b^3*x^3*dilog(-(d + 1)*e^(2*b*x + 2*a)) - 6*b^2*x^2*polylog(3, -(d + 1)*e^(2*b*x + 2*a)) + 6*b*x*polylog(4, -(d + 1)*e^(2*b*x + 2*a)) - 3*polylog(5, -(d + 1)*e^(2*b*x + 2*a)))/(b^5*d))*b*d","A",0
289,1,125,0,1.106864," ","integrate(x^2*arctanh(1+d+d*tanh(b*x+a)),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \operatorname{artanh}\left(d \tanh\left(b x + a\right) + d + 1\right) + \frac{1}{36} \, {\left(\frac{3 \, x^{4}}{d} - \frac{2 \, {\left(4 \, b^{3} x^{3} \log\left({\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 6 \, b^{2} x^{2} {\rm Li}_2\left(-{\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right) - 6 \, b x {\rm Li}_{3}(-{\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}) + 3 \, {\rm Li}_{4}(-{\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)})\right)}}{b^{4} d}\right)} b d"," ",0,"1/3*x^3*arctanh(d*tanh(b*x + a) + d + 1) + 1/36*(3*x^4/d - 2*(4*b^3*x^3*log((d + 1)*e^(2*b*x + 2*a) + 1) + 6*b^2*x^2*dilog(-(d + 1)*e^(2*b*x + 2*a)) - 6*b*x*polylog(3, -(d + 1)*e^(2*b*x + 2*a)) + 3*polylog(4, -(d + 1)*e^(2*b*x + 2*a)))/(b^4*d))*b*d","A",0
290,1,101,0,1.101884," ","integrate(x*arctanh(1+d+d*tanh(b*x+a)),x, algorithm=""maxima"")","\frac{1}{24} \, {\left(\frac{4 \, x^{3}}{d} - \frac{3 \, {\left(2 \, b^{2} x^{2} \log\left({\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(-{\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right) - {\rm Li}_{3}(-{\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)})\right)}}{b^{3} d}\right)} b d + \frac{1}{2} \, x^{2} \operatorname{artanh}\left(d \tanh\left(b x + a\right) + d + 1\right)"," ",0,"1/24*(4*x^3/d - 3*(2*b^2*x^2*log((d + 1)*e^(2*b*x + 2*a) + 1) + 2*b*x*dilog(-(d + 1)*e^(2*b*x + 2*a)) - polylog(3, -(d + 1)*e^(2*b*x + 2*a)))/(b^3*d))*b*d + 1/2*x^2*arctanh(d*tanh(b*x + a) + d + 1)","A",0
291,1,72,0,1.110518," ","integrate(arctanh(1+d+d*tanh(b*x+a)),x, algorithm=""maxima"")","\frac{1}{4} \, b d {\left(\frac{2 \, x^{2}}{d} - \frac{2 \, b x \log\left({\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + {\rm Li}_2\left(-{\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right)}{b^{2} d}\right)} + x \operatorname{artanh}\left(d \tanh\left(b x + a\right) + d + 1\right)"," ",0,"1/4*b*d*(2*x^2/d - (2*b*x*log((d + 1)*e^(2*b*x + 2*a) + 1) + dilog(-(d + 1)*e^(2*b*x + 2*a)))/(b^2*d)) + x*arctanh(d*tanh(b*x + a) + d + 1)","A",0
292,0,0,0,0.000000," ","integrate(arctanh(1+d+d*tanh(b*x+a))/x,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(d \tanh\left(b x + a\right) + d + 1\right)}{x}\,{d x}"," ",0,"integrate(arctanh(d*tanh(b*x + a) + d + 1)/x, x)","F",0
293,1,146,0,1.133197," ","integrate(-x^3*arctanh(-1+d+d*tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{1}{4} \, x^{4} \operatorname{artanh}\left(d \tanh\left(b x + a\right) + d - 1\right) + \frac{1}{40} \, {\left(\frac{2 \, x^{5}}{d} - \frac{5 \, {\left(2 \, b^{4} x^{4} \log\left(-{\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 4 \, b^{3} x^{3} {\rm Li}_2\left({\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right) - 6 \, b^{2} x^{2} {\rm Li}_{3}({\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}) + 6 \, b x {\rm Li}_{4}({\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}) - 3 \, {\rm Li}_{5}({\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)})\right)}}{b^{5} d}\right)} b d"," ",0,"-1/4*x^4*arctanh(d*tanh(b*x + a) + d - 1) + 1/40*(2*x^5/d - 5*(2*b^4*x^4*log(-(d - 1)*e^(2*b*x + 2*a) + 1) + 4*b^3*x^3*dilog((d - 1)*e^(2*b*x + 2*a)) - 6*b^2*x^2*polylog(3, (d - 1)*e^(2*b*x + 2*a)) + 6*b*x*polylog(4, (d - 1)*e^(2*b*x + 2*a)) - 3*polylog(5, (d - 1)*e^(2*b*x + 2*a)))/(b^5*d))*b*d","A",0
294,1,123,0,1.122927," ","integrate(-x^2*arctanh(-1+d+d*tanh(b*x+a)),x, algorithm=""maxima"")","-\frac{1}{3} \, x^{3} \operatorname{artanh}\left(d \tanh\left(b x + a\right) + d - 1\right) + \frac{1}{36} \, {\left(\frac{3 \, x^{4}}{d} - \frac{2 \, {\left(4 \, b^{3} x^{3} \log\left(-{\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 6 \, b^{2} x^{2} {\rm Li}_2\left({\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right) - 6 \, b x {\rm Li}_{3}({\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}) + 3 \, {\rm Li}_{4}({\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)})\right)}}{b^{4} d}\right)} b d"," ",0,"-1/3*x^3*arctanh(d*tanh(b*x + a) + d - 1) + 1/36*(3*x^4/d - 2*(4*b^3*x^3*log(-(d - 1)*e^(2*b*x + 2*a) + 1) + 6*b^2*x^2*dilog((d - 1)*e^(2*b*x + 2*a)) - 6*b*x*polylog(3, (d - 1)*e^(2*b*x + 2*a)) + 3*polylog(4, (d - 1)*e^(2*b*x + 2*a)))/(b^4*d))*b*d","A",0
295,1,100,0,1.109301," ","integrate(-x*arctanh(-1+d+d*tanh(b*x+a)),x, algorithm=""maxima"")","\frac{1}{24} \, {\left(\frac{4 \, x^{3}}{d} - \frac{3 \, {\left(2 \, b^{2} x^{2} \log\left(-{\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left({\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right) - {\rm Li}_{3}({\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)})\right)}}{b^{3} d}\right)} b d - \frac{1}{2} \, x^{2} \operatorname{artanh}\left(d \tanh\left(b x + a\right) + d - 1\right)"," ",0,"1/24*(4*x^3/d - 3*(2*b^2*x^2*log(-(d - 1)*e^(2*b*x + 2*a) + 1) + 2*b*x*dilog((d - 1)*e^(2*b*x + 2*a)) - polylog(3, (d - 1)*e^(2*b*x + 2*a)))/(b^3*d))*b*d - 1/2*x^2*arctanh(d*tanh(b*x + a) + d - 1)","A",0
296,1,73,0,1.109803," ","integrate(-arctanh(-1+d+d*tanh(b*x+a)),x, algorithm=""maxima"")","\frac{1}{4} \, b d {\left(\frac{2 \, x^{2}}{d} - \frac{2 \, b x \log\left(-{\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + {\rm Li}_2\left({\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right)}{b^{2} d}\right)} - x \operatorname{artanh}\left(d \tanh\left(b x + a\right) + d - 1\right)"," ",0,"1/4*b*d*(2*x^2/d - (2*b*x*log(-(d - 1)*e^(2*b*x + 2*a) + 1) + dilog((d - 1)*e^(2*b*x + 2*a)))/(b^2*d)) - x*arctanh(d*tanh(b*x + a) + d - 1)","A",0
297,0,0,0,0.000000," ","integrate(-arctanh(-1+d+d*tanh(b*x+a))/x,x, algorithm=""maxima"")","-\int \frac{\operatorname{artanh}\left(d \tanh\left(b x + a\right) + d - 1\right)}{x}\,{d x}"," ",0,"-integrate(arctanh(d*tanh(b*x + a) + d - 1)/x, x)","F",0
298,1,277,0,0.703066," ","integrate(x^2*arctanh(c+d*coth(b*x+a)),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \operatorname{artanh}\left(d \coth\left(b x + a\right) + c\right) - \frac{1}{18} \, b d {\left(\frac{4 \, b^{3} x^{3} \log\left(-\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1} + 1\right) + 6 \, b^{2} x^{2} {\rm Li}_2\left(\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1}\right) - 6 \, b x {\rm Li}_{3}(\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1}) + 3 \, {\rm Li}_{4}(\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1})}{b^{4} d} - \frac{4 \, b^{3} x^{3} \log\left(-\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1} + 1\right) + 6 \, b^{2} x^{2} {\rm Li}_2\left(\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1}\right) - 6 \, b x {\rm Li}_{3}(\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1}) + 3 \, {\rm Li}_{4}(\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1})}{b^{4} d}\right)}"," ",0,"1/3*x^3*arctanh(d*coth(b*x + a) + c) - 1/18*b*d*((4*b^3*x^3*log(-(c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1) + 1) + 6*b^2*x^2*dilog((c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1)) - 6*b*x*polylog(3, (c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1)) + 3*polylog(4, (c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1)))/(b^4*d) - (4*b^3*x^3*log(-(c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1) + 1) + 6*b^2*x^2*dilog((c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1)) - 6*b*x*polylog(3, (c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1)) + 3*polylog(4, (c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1)))/(b^4*d))","A",0
299,1,213,0,0.718004," ","integrate(x*arctanh(c+d*coth(b*x+a)),x, algorithm=""maxima"")","-\frac{1}{8} \, b d {\left(\frac{2 \, b^{2} x^{2} \log\left(-\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1} + 1\right) + 2 \, b x {\rm Li}_2\left(\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1}\right) - {\rm Li}_{3}(\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1})}{b^{3} d} - \frac{2 \, b^{2} x^{2} \log\left(-\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1} + 1\right) + 2 \, b x {\rm Li}_2\left(\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1}\right) - {\rm Li}_{3}(\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1})}{b^{3} d}\right)} + \frac{1}{2} \, x^{2} \operatorname{artanh}\left(d \coth\left(b x + a\right) + c\right)"," ",0,"-1/8*b*d*((2*b^2*x^2*log(-(c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1) + 1) + 2*b*x*dilog((c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1)) - polylog(3, (c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1)))/(b^3*d) - (2*b^2*x^2*log(-(c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1) + 1) + 2*b*x*dilog((c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1)) - polylog(3, (c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1)))/(b^3*d)) + 1/2*x^2*arctanh(d*coth(b*x + a) + c)","A",0
300,1,142,0,0.722976," ","integrate(arctanh(c+d*coth(b*x+a)),x, algorithm=""maxima"")","-\frac{1}{4} \, b d {\left(\frac{2 \, b x \log\left(-\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1} + 1\right) + {\rm Li}_2\left(\frac{{\left(c + d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d + 1}\right)}{b^{2} d} - \frac{2 \, b x \log\left(-\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1} + 1\right) + {\rm Li}_2\left(\frac{{\left(c + d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{c - d - 1}\right)}{b^{2} d}\right)} + x \operatorname{artanh}\left(d \coth\left(b x + a\right) + c\right)"," ",0,"-1/4*b*d*((2*b*x*log(-(c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1) + 1) + dilog((c + d + 1)*e^(2*b*x + 2*a)/(c - d + 1)))/(b^2*d) - (2*b*x*log(-(c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1) + 1) + dilog((c + d - 1)*e^(2*b*x + 2*a)/(c - d - 1)))/(b^2*d)) + x*arctanh(d*coth(b*x + a) + c)","A",0
301,0,0,0,0.000000," ","integrate(arctanh(c+d*coth(b*x+a))/x,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(d \coth\left(b x + a\right) + c\right)}{x}\,{d x}"," ",0,"integrate(arctanh(d*coth(b*x + a) + c)/x, x)","F",0
302,1,146,0,1.100826," ","integrate(x^3*arctanh(1+d+d*coth(b*x+a)),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} \operatorname{artanh}\left(d \coth\left(b x + a\right) + d + 1\right) + \frac{1}{40} \, {\left(\frac{2 \, x^{5}}{d} - \frac{5 \, {\left(2 \, b^{4} x^{4} \log\left(-{\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 4 \, b^{3} x^{3} {\rm Li}_2\left({\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right) - 6 \, b^{2} x^{2} {\rm Li}_{3}({\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}) + 6 \, b x {\rm Li}_{4}({\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}) - 3 \, {\rm Li}_{5}({\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)})\right)}}{b^{5} d}\right)} b d"," ",0,"1/4*x^4*arctanh(d*coth(b*x + a) + d + 1) + 1/40*(2*x^5/d - 5*(2*b^4*x^4*log(-(d + 1)*e^(2*b*x + 2*a) + 1) + 4*b^3*x^3*dilog((d + 1)*e^(2*b*x + 2*a)) - 6*b^2*x^2*polylog(3, (d + 1)*e^(2*b*x + 2*a)) + 6*b*x*polylog(4, (d + 1)*e^(2*b*x + 2*a)) - 3*polylog(5, (d + 1)*e^(2*b*x + 2*a)))/(b^5*d))*b*d","A",0
303,1,123,0,1.123873," ","integrate(x^2*arctanh(1+d+d*coth(b*x+a)),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \operatorname{artanh}\left(d \coth\left(b x + a\right) + d + 1\right) + \frac{1}{36} \, {\left(\frac{3 \, x^{4}}{d} - \frac{2 \, {\left(4 \, b^{3} x^{3} \log\left(-{\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 6 \, b^{2} x^{2} {\rm Li}_2\left({\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right) - 6 \, b x {\rm Li}_{3}({\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}) + 3 \, {\rm Li}_{4}({\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)})\right)}}{b^{4} d}\right)} b d"," ",0,"1/3*x^3*arctanh(d*coth(b*x + a) + d + 1) + 1/36*(3*x^4/d - 2*(4*b^3*x^3*log(-(d + 1)*e^(2*b*x + 2*a) + 1) + 6*b^2*x^2*dilog((d + 1)*e^(2*b*x + 2*a)) - 6*b*x*polylog(3, (d + 1)*e^(2*b*x + 2*a)) + 3*polylog(4, (d + 1)*e^(2*b*x + 2*a)))/(b^4*d))*b*d","A",0
304,1,100,0,1.093217," ","integrate(x*arctanh(1+d+d*coth(b*x+a)),x, algorithm=""maxima"")","\frac{1}{24} \, {\left(\frac{4 \, x^{3}}{d} - \frac{3 \, {\left(2 \, b^{2} x^{2} \log\left(-{\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left({\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right) - {\rm Li}_{3}({\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)})\right)}}{b^{3} d}\right)} b d + \frac{1}{2} \, x^{2} \operatorname{artanh}\left(d \coth\left(b x + a\right) + d + 1\right)"," ",0,"1/24*(4*x^3/d - 3*(2*b^2*x^2*log(-(d + 1)*e^(2*b*x + 2*a) + 1) + 2*b*x*dilog((d + 1)*e^(2*b*x + 2*a)) - polylog(3, (d + 1)*e^(2*b*x + 2*a)))/(b^3*d))*b*d + 1/2*x^2*arctanh(d*coth(b*x + a) + d + 1)","A",0
305,1,72,0,1.096166," ","integrate(arctanh(1+d+d*coth(b*x+a)),x, algorithm=""maxima"")","\frac{1}{4} \, b d {\left(\frac{2 \, x^{2}}{d} - \frac{2 \, b x \log\left(-{\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + {\rm Li}_2\left({\left(d + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right)}{b^{2} d}\right)} + x \operatorname{artanh}\left(d \coth\left(b x + a\right) + d + 1\right)"," ",0,"1/4*b*d*(2*x^2/d - (2*b*x*log(-(d + 1)*e^(2*b*x + 2*a) + 1) + dilog((d + 1)*e^(2*b*x + 2*a)))/(b^2*d)) + x*arctanh(d*coth(b*x + a) + d + 1)","A",0
306,0,0,0,0.000000," ","integrate(arctanh(1+d+d*coth(b*x+a))/x,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(d \coth\left(b x + a\right) + d + 1\right)}{x}\,{d x}"," ",0,"integrate(arctanh(d*coth(b*x + a) + d + 1)/x, x)","F",0
307,1,149,0,1.119661," ","integrate(-x^3*arctanh(-1+d+d*coth(b*x+a)),x, algorithm=""maxima"")","-\frac{1}{4} \, x^{4} \operatorname{artanh}\left(d \coth\left(b x + a\right) + d - 1\right) + \frac{1}{40} \, {\left(\frac{2 \, x^{5}}{d} - \frac{5 \, {\left(2 \, b^{4} x^{4} \log\left({\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 4 \, b^{3} x^{3} {\rm Li}_2\left(-{\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right) - 6 \, b^{2} x^{2} {\rm Li}_{3}(-{\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}) + 6 \, b x {\rm Li}_{4}(-{\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}) - 3 \, {\rm Li}_{5}(-{\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)})\right)}}{b^{5} d}\right)} b d"," ",0,"-1/4*x^4*arctanh(d*coth(b*x + a) + d - 1) + 1/40*(2*x^5/d - 5*(2*b^4*x^4*log((d - 1)*e^(2*b*x + 2*a) + 1) + 4*b^3*x^3*dilog(-(d - 1)*e^(2*b*x + 2*a)) - 6*b^2*x^2*polylog(3, -(d - 1)*e^(2*b*x + 2*a)) + 6*b*x*polylog(4, -(d - 1)*e^(2*b*x + 2*a)) - 3*polylog(5, -(d - 1)*e^(2*b*x + 2*a)))/(b^5*d))*b*d","A",0
308,1,125,0,1.102236," ","integrate(-x^2*arctanh(-1+d+d*coth(b*x+a)),x, algorithm=""maxima"")","-\frac{1}{3} \, x^{3} \operatorname{artanh}\left(d \coth\left(b x + a\right) + d - 1\right) + \frac{1}{36} \, {\left(\frac{3 \, x^{4}}{d} - \frac{2 \, {\left(4 \, b^{3} x^{3} \log\left({\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 6 \, b^{2} x^{2} {\rm Li}_2\left(-{\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right) - 6 \, b x {\rm Li}_{3}(-{\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}) + 3 \, {\rm Li}_{4}(-{\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)})\right)}}{b^{4} d}\right)} b d"," ",0,"-1/3*x^3*arctanh(d*coth(b*x + a) + d - 1) + 1/36*(3*x^4/d - 2*(4*b^3*x^3*log((d - 1)*e^(2*b*x + 2*a) + 1) + 6*b^2*x^2*dilog(-(d - 1)*e^(2*b*x + 2*a)) - 6*b*x*polylog(3, -(d - 1)*e^(2*b*x + 2*a)) + 3*polylog(4, -(d - 1)*e^(2*b*x + 2*a)))/(b^4*d))*b*d","A",0
309,1,101,0,1.103604," ","integrate(-x*arctanh(-1+d+d*coth(b*x+a)),x, algorithm=""maxima"")","\frac{1}{24} \, {\left(\frac{4 \, x^{3}}{d} - \frac{3 \, {\left(2 \, b^{2} x^{2} \log\left({\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(-{\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right) - {\rm Li}_{3}(-{\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)})\right)}}{b^{3} d}\right)} b d - \frac{1}{2} \, x^{2} \operatorname{artanh}\left(d \coth\left(b x + a\right) + d - 1\right)"," ",0,"1/24*(4*x^3/d - 3*(2*b^2*x^2*log((d - 1)*e^(2*b*x + 2*a) + 1) + 2*b*x*dilog(-(d - 1)*e^(2*b*x + 2*a)) - polylog(3, -(d - 1)*e^(2*b*x + 2*a)))/(b^3*d))*b*d - 1/2*x^2*arctanh(d*coth(b*x + a) + d - 1)","A",0
310,1,73,0,1.119360," ","integrate(-arctanh(-1+d+d*coth(b*x+a)),x, algorithm=""maxima"")","\frac{1}{4} \, b d {\left(\frac{2 \, x^{2}}{d} - \frac{2 \, b x \log\left({\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + {\rm Li}_2\left(-{\left(d - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}\right)}{b^{2} d}\right)} - x \operatorname{artanh}\left(d \coth\left(b x + a\right) + d - 1\right)"," ",0,"1/4*b*d*(2*x^2/d - (2*b*x*log((d - 1)*e^(2*b*x + 2*a) + 1) + dilog(-(d - 1)*e^(2*b*x + 2*a)))/(b^2*d)) - x*arctanh(d*coth(b*x + a) + d - 1)","A",0
311,0,0,0,0.000000," ","integrate(-arctanh(-1+d+d*coth(b*x+a))/x,x, algorithm=""maxima"")","-\int \frac{\operatorname{artanh}\left(d \coth\left(b x + a\right) + d - 1\right)}{x}\,{d x}"," ",0,"-integrate(arctanh(d*coth(b*x + a) + d - 1)/x, x)","F",0
312,0,0,0,0.000000," ","integrate((f*x+e)^3*arctanh(tan(b*x+a)),x, algorithm=""maxima"")","\frac{1}{16} \, {\left(f^{3} x^{4} + 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2} + 4 \, e^{3} x\right)} \log\left(2 \, \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, \sin\left(2 \, b x + 2 \, a\right)^{2} + 4 \, \sin\left(2 \, b x + 2 \, a\right) + 2\right) - \frac{1}{16} \, {\left(f^{3} x^{4} + 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2} + 4 \, e^{3} x\right)} \log\left(2 \, \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, \sin\left(2 \, b x + 2 \, a\right)^{2} - 4 \, \sin\left(2 \, b x + 2 \, a\right) + 2\right) - \int \frac{{\left(b f^{3} x^{4} + 4 \, b e f^{2} x^{3} + 6 \, b e^{2} f x^{2} + 4 \, b e^{3} x\right)} \cos\left(4 \, b x + 4 \, a\right) \cos\left(2 \, b x + 2 \, a\right) + {\left(b f^{3} x^{4} + 4 \, b e f^{2} x^{3} + 6 \, b e^{2} f x^{2} + 4 \, b e^{3} x\right)} \sin\left(4 \, b x + 4 \, a\right) \sin\left(2 \, b x + 2 \, a\right) + {\left(b f^{3} x^{4} + 4 \, b e f^{2} x^{3} + 6 \, b e^{2} f x^{2} + 4 \, b e^{3} x\right)} \cos\left(2 \, b x + 2 \, a\right)}{2 \, {\left(\cos\left(4 \, b x + 4 \, a\right)^{2} + \sin\left(4 \, b x + 4 \, a\right)^{2} + 2 \, \cos\left(4 \, b x + 4 \, a\right) + 1\right)}}\,{d x}"," ",0,"1/16*(f^3*x^4 + 4*e*f^2*x^3 + 6*e^2*f*x^2 + 4*e^3*x)*log(2*cos(2*b*x + 2*a)^2 + 2*sin(2*b*x + 2*a)^2 + 4*sin(2*b*x + 2*a) + 2) - 1/16*(f^3*x^4 + 4*e*f^2*x^3 + 6*e^2*f*x^2 + 4*e^3*x)*log(2*cos(2*b*x + 2*a)^2 + 2*sin(2*b*x + 2*a)^2 - 4*sin(2*b*x + 2*a) + 2) - integrate(1/2*((b*f^3*x^4 + 4*b*e*f^2*x^3 + 6*b*e^2*f*x^2 + 4*b*e^3*x)*cos(4*b*x + 4*a)*cos(2*b*x + 2*a) + (b*f^3*x^4 + 4*b*e*f^2*x^3 + 6*b*e^2*f*x^2 + 4*b*e^3*x)*sin(4*b*x + 4*a)*sin(2*b*x + 2*a) + (b*f^3*x^4 + 4*b*e*f^2*x^3 + 6*b*e^2*f*x^2 + 4*b*e^3*x)*cos(2*b*x + 2*a))/(cos(4*b*x + 4*a)^2 + sin(4*b*x + 4*a)^2 + 2*cos(4*b*x + 4*a) + 1), x)","F",0
313,0,0,0,0.000000," ","integrate((f*x+e)^2*arctanh(tan(b*x+a)),x, algorithm=""maxima"")","\frac{1}{12} \, {\left(f^{2} x^{3} + 3 \, e f x^{2} + 3 \, e^{2} x\right)} \log\left(2 \, \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, \sin\left(2 \, b x + 2 \, a\right)^{2} + 4 \, \sin\left(2 \, b x + 2 \, a\right) + 2\right) - \frac{1}{12} \, {\left(f^{2} x^{3} + 3 \, e f x^{2} + 3 \, e^{2} x\right)} \log\left(2 \, \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, \sin\left(2 \, b x + 2 \, a\right)^{2} - 4 \, \sin\left(2 \, b x + 2 \, a\right) + 2\right) - \int \frac{2 \, {\left({\left(b f^{2} x^{3} + 3 \, b e f x^{2} + 3 \, b e^{2} x\right)} \cos\left(4 \, b x + 4 \, a\right) \cos\left(2 \, b x + 2 \, a\right) + {\left(b f^{2} x^{3} + 3 \, b e f x^{2} + 3 \, b e^{2} x\right)} \sin\left(4 \, b x + 4 \, a\right) \sin\left(2 \, b x + 2 \, a\right) + {\left(b f^{2} x^{3} + 3 \, b e f x^{2} + 3 \, b e^{2} x\right)} \cos\left(2 \, b x + 2 \, a\right)\right)}}{3 \, {\left(\cos\left(4 \, b x + 4 \, a\right)^{2} + \sin\left(4 \, b x + 4 \, a\right)^{2} + 2 \, \cos\left(4 \, b x + 4 \, a\right) + 1\right)}}\,{d x}"," ",0,"1/12*(f^2*x^3 + 3*e*f*x^2 + 3*e^2*x)*log(2*cos(2*b*x + 2*a)^2 + 2*sin(2*b*x + 2*a)^2 + 4*sin(2*b*x + 2*a) + 2) - 1/12*(f^2*x^3 + 3*e*f*x^2 + 3*e^2*x)*log(2*cos(2*b*x + 2*a)^2 + 2*sin(2*b*x + 2*a)^2 - 4*sin(2*b*x + 2*a) + 2) - integrate(2/3*((b*f^2*x^3 + 3*b*e*f*x^2 + 3*b*e^2*x)*cos(4*b*x + 4*a)*cos(2*b*x + 2*a) + (b*f^2*x^3 + 3*b*e*f*x^2 + 3*b*e^2*x)*sin(4*b*x + 4*a)*sin(2*b*x + 2*a) + (b*f^2*x^3 + 3*b*e*f*x^2 + 3*b*e^2*x)*cos(2*b*x + 2*a))/(cos(4*b*x + 4*a)^2 + sin(4*b*x + 4*a)^2 + 2*cos(4*b*x + 4*a) + 1), x)","F",0
314,0,0,0,0.000000," ","integrate((f*x+e)*arctanh(tan(b*x+a)),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(f x^{2} + 2 \, e x\right)} \log\left(2 \, \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, \sin\left(2 \, b x + 2 \, a\right)^{2} + 4 \, \sin\left(2 \, b x + 2 \, a\right) + 2\right) - \frac{1}{8} \, {\left(f x^{2} + 2 \, e x\right)} \log\left(2 \, \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, \sin\left(2 \, b x + 2 \, a\right)^{2} - 4 \, \sin\left(2 \, b x + 2 \, a\right) + 2\right) - \int \frac{{\left(b f x^{2} + 2 \, b e x\right)} \cos\left(4 \, b x + 4 \, a\right) \cos\left(2 \, b x + 2 \, a\right) + {\left(b f x^{2} + 2 \, b e x\right)} \sin\left(4 \, b x + 4 \, a\right) \sin\left(2 \, b x + 2 \, a\right) + {\left(b f x^{2} + 2 \, b e x\right)} \cos\left(2 \, b x + 2 \, a\right)}{\cos\left(4 \, b x + 4 \, a\right)^{2} + \sin\left(4 \, b x + 4 \, a\right)^{2} + 2 \, \cos\left(4 \, b x + 4 \, a\right) + 1}\,{d x}"," ",0,"1/8*(f*x^2 + 2*e*x)*log(2*cos(2*b*x + 2*a)^2 + 2*sin(2*b*x + 2*a)^2 + 4*sin(2*b*x + 2*a) + 2) - 1/8*(f*x^2 + 2*e*x)*log(2*cos(2*b*x + 2*a)^2 + 2*sin(2*b*x + 2*a)^2 - 4*sin(2*b*x + 2*a) + 2) - integrate(((b*f*x^2 + 2*b*e*x)*cos(4*b*x + 4*a)*cos(2*b*x + 2*a) + (b*f*x^2 + 2*b*e*x)*sin(4*b*x + 4*a)*sin(2*b*x + 2*a) + (b*f*x^2 + 2*b*e*x)*cos(2*b*x + 2*a))/(cos(4*b*x + 4*a)^2 + sin(4*b*x + 4*a)^2 + 2*cos(4*b*x + 4*a) + 1), x)","F",0
315,1,182,0,0.482201," ","integrate(arctanh(tan(b*x+a)),x, algorithm=""maxima"")","\frac{4 \, {\left(b x + a\right)} \operatorname{artanh}\left(\tan\left(b x + a\right)\right) + {\left(\arctan\left(\frac{1}{2} \, \tan\left(b x + a\right) + \frac{1}{2}, \frac{1}{2} \, \tan\left(b x + a\right) + \frac{1}{2}\right) - \arctan\left(\frac{1}{2} \, \tan\left(b x + a\right) - \frac{1}{2}, -\frac{1}{2} \, \tan\left(b x + a\right) + \frac{1}{2}\right)\right)} \log\left(\tan\left(b x + a\right)^{2} + 1\right) - {\left(b x + a\right)} \log\left(\frac{1}{2} \, \tan\left(b x + a\right)^{2} + \tan\left(b x + a\right) + \frac{1}{2}\right) + {\left(b x + a\right)} \log\left(\frac{1}{2} \, \tan\left(b x + a\right)^{2} - \tan\left(b x + a\right) + \frac{1}{2}\right) - i \, {\rm Li}_2\left(\left(\frac{1}{2} i + \frac{1}{2}\right) \, \tan\left(b x + a\right) - \frac{1}{2} i + \frac{1}{2}\right) + i \, {\rm Li}_2\left(-\left(\frac{1}{2} i - \frac{1}{2}\right) \, \tan\left(b x + a\right) + \frac{1}{2} i + \frac{1}{2}\right) + i \, {\rm Li}_2\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \tan\left(b x + a\right) + \frac{1}{2} i + \frac{1}{2}\right) - i \, {\rm Li}_2\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \tan\left(b x + a\right) - \frac{1}{2} i + \frac{1}{2}\right)}{4 \, b}"," ",0,"1/4*(4*(b*x + a)*arctanh(tan(b*x + a)) + (arctan2(1/2*tan(b*x + a) + 1/2, 1/2*tan(b*x + a) + 1/2) - arctan2(1/2*tan(b*x + a) - 1/2, -1/2*tan(b*x + a) + 1/2))*log(tan(b*x + a)^2 + 1) - (b*x + a)*log(1/2*tan(b*x + a)^2 + tan(b*x + a) + 1/2) + (b*x + a)*log(1/2*tan(b*x + a)^2 - tan(b*x + a) + 1/2) - I*dilog((1/2*I + 1/2)*tan(b*x + a) - 1/2*I + 1/2) + I*dilog(-(1/2*I - 1/2)*tan(b*x + a) + 1/2*I + 1/2) + I*dilog((1/2*I - 1/2)*tan(b*x + a) + 1/2*I + 1/2) - I*dilog(-(1/2*I + 1/2)*tan(b*x + a) - 1/2*I + 1/2))/b","B",0
316,0,0,0,0.000000," ","integrate(arctanh(tan(b*x+a))/(f*x+e),x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\tan\left(b x + a\right)\right)}{f x + e}\,{d x}"," ",0,"integrate(arctanh(tan(b*x + a))/(f*x + e), x)","F",0
317,0,0,0,0.000000," ","integrate(x^2*arctanh(c+d*tan(b*x+a)),x, algorithm=""maxima"")","\frac{1}{12} \, x^{3} \log\left({\left(c^{2} + d^{2} + 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + 4 \, {\left(c + 1\right)} d \sin\left(2 \, b x + 2 \, a\right) + {\left(c^{2} + d^{2} + 2 \, c + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} + c^{2} + d^{2} + 2 \, {\left(c^{2} - d^{2} + 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right) + 2 \, c + 1\right) - \frac{1}{12} \, x^{3} \log\left({\left(c^{2} + d^{2} - 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + 4 \, {\left(c - 1\right)} d \sin\left(2 \, b x + 2 \, a\right) + {\left(c^{2} + d^{2} - 2 \, c + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} + c^{2} + d^{2} + 2 \, {\left(c^{2} - d^{2} - 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right) - 2 \, c + 1\right) - 4 \, b d \int -\frac{2 \, {\left(c^{2} + d^{2} - 1\right)} x^{3} \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, c d x^{3} \sin\left(2 \, b x + 2 \, a\right) + 2 \, {\left(c^{2} + d^{2} - 1\right)} x^{3} \sin\left(2 \, b x + 2 \, a\right)^{2} + {\left(c^{2} - d^{2} - 1\right)} x^{3} \cos\left(2 \, b x + 2 \, a\right) - {\left(2 \, c d x^{3} \sin\left(2 \, b x + 2 \, a\right) - {\left(c^{2} - d^{2} - 1\right)} x^{3} \cos\left(2 \, b x + 2 \, a\right)\right)} \cos\left(4 \, b x + 4 \, a\right) + {\left(2 \, c d x^{3} \cos\left(2 \, b x + 2 \, a\right) + {\left(c^{2} - d^{2} - 1\right)} x^{3} \sin\left(2 \, b x + 2 \, a\right)\right)} \sin\left(4 \, b x + 4 \, a\right)}{3 \, {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} + 1\right)} d^{2} + {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} + 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \cos\left(4 \, b x + 4 \, a\right)^{2} + 4 \, {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} - 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} + 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \sin\left(4 \, b x + 4 \, a\right)^{2} + 4 \, {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} - 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} - 2 \, c^{2} + 2 \, {\left(c^{4} + d^{4} - 2 \, {\left(3 \, c^{2} - 1\right)} d^{2} - 2 \, c^{2} + 2 \, {\left(c^{4} - d^{4} - 2 \, c^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right) - 4 \, {\left(c d^{3} + {\left(c^{3} - c\right)} d\right)} \sin\left(2 \, b x + 2 \, a\right) + 1\right)} \cos\left(4 \, b x + 4 \, a\right) + 4 \, {\left(c^{4} - d^{4} - 2 \, c^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right) - 4 \, {\left(2 \, c d^{3} - 2 \, {\left(c^{3} - c\right)} d - 2 \, {\left(c d^{3} + {\left(c^{3} - c\right)} d\right)} \cos\left(2 \, b x + 2 \, a\right) - {\left(c^{4} - d^{4} - 2 \, c^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)\right)} \sin\left(4 \, b x + 4 \, a\right) + 8 \, {\left(c d^{3} + {\left(c^{3} - c\right)} d\right)} \sin\left(2 \, b x + 2 \, a\right) + 1\right)}}\,{d x}"," ",0,"1/12*x^3*log((c^2 + d^2 + 2*c + 1)*cos(2*b*x + 2*a)^2 + 4*(c + 1)*d*sin(2*b*x + 2*a) + (c^2 + d^2 + 2*c + 1)*sin(2*b*x + 2*a)^2 + c^2 + d^2 + 2*(c^2 - d^2 + 2*c + 1)*cos(2*b*x + 2*a) + 2*c + 1) - 1/12*x^3*log((c^2 + d^2 - 2*c + 1)*cos(2*b*x + 2*a)^2 + 4*(c - 1)*d*sin(2*b*x + 2*a) + (c^2 + d^2 - 2*c + 1)*sin(2*b*x + 2*a)^2 + c^2 + d^2 + 2*(c^2 - d^2 - 2*c + 1)*cos(2*b*x + 2*a) - 2*c + 1) - 4*b*d*integrate(-1/3*(2*(c^2 + d^2 - 1)*x^3*cos(2*b*x + 2*a)^2 + 2*c*d*x^3*sin(2*b*x + 2*a) + 2*(c^2 + d^2 - 1)*x^3*sin(2*b*x + 2*a)^2 + (c^2 - d^2 - 1)*x^3*cos(2*b*x + 2*a) - (2*c*d*x^3*sin(2*b*x + 2*a) - (c^2 - d^2 - 1)*x^3*cos(2*b*x + 2*a))*cos(4*b*x + 4*a) + (2*c*d*x^3*cos(2*b*x + 2*a) + (c^2 - d^2 - 1)*x^3*sin(2*b*x + 2*a))*sin(4*b*x + 4*a))/(c^4 + d^4 + 2*(c^2 + 1)*d^2 + (c^4 + d^4 + 2*(c^2 + 1)*d^2 - 2*c^2 + 1)*cos(4*b*x + 4*a)^2 + 4*(c^4 + d^4 + 2*(c^2 - 1)*d^2 - 2*c^2 + 1)*cos(2*b*x + 2*a)^2 + (c^4 + d^4 + 2*(c^2 + 1)*d^2 - 2*c^2 + 1)*sin(4*b*x + 4*a)^2 + 4*(c^4 + d^4 + 2*(c^2 - 1)*d^2 - 2*c^2 + 1)*sin(2*b*x + 2*a)^2 - 2*c^2 + 2*(c^4 + d^4 - 2*(3*c^2 - 1)*d^2 - 2*c^2 + 2*(c^4 - d^4 - 2*c^2 + 1)*cos(2*b*x + 2*a) - 4*(c*d^3 + (c^3 - c)*d)*sin(2*b*x + 2*a) + 1)*cos(4*b*x + 4*a) + 4*(c^4 - d^4 - 2*c^2 + 1)*cos(2*b*x + 2*a) - 4*(2*c*d^3 - 2*(c^3 - c)*d - 2*(c*d^3 + (c^3 - c)*d)*cos(2*b*x + 2*a) - (c^4 - d^4 - 2*c^2 + 1)*sin(2*b*x + 2*a))*sin(4*b*x + 4*a) + 8*(c*d^3 + (c^3 - c)*d)*sin(2*b*x + 2*a) + 1), x)","F",0
318,0,0,0,0.000000," ","integrate(x*arctanh(c+d*tan(b*x+a)),x, algorithm=""maxima"")","-2 \, b d \int -\frac{2 \, {\left(c^{2} + d^{2} - 1\right)} x^{2} \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, c d x^{2} \sin\left(2 \, b x + 2 \, a\right) + 2 \, {\left(c^{2} + d^{2} - 1\right)} x^{2} \sin\left(2 \, b x + 2 \, a\right)^{2} + {\left(c^{2} - d^{2} - 1\right)} x^{2} \cos\left(2 \, b x + 2 \, a\right) - {\left(2 \, c d x^{2} \sin\left(2 \, b x + 2 \, a\right) - {\left(c^{2} - d^{2} - 1\right)} x^{2} \cos\left(2 \, b x + 2 \, a\right)\right)} \cos\left(4 \, b x + 4 \, a\right) + {\left(2 \, c d x^{2} \cos\left(2 \, b x + 2 \, a\right) + {\left(c^{2} - d^{2} - 1\right)} x^{2} \sin\left(2 \, b x + 2 \, a\right)\right)} \sin\left(4 \, b x + 4 \, a\right)}{c^{4} + d^{4} + 2 \, {\left(c^{2} + 1\right)} d^{2} + {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} + 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \cos\left(4 \, b x + 4 \, a\right)^{2} + 4 \, {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} - 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} + 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \sin\left(4 \, b x + 4 \, a\right)^{2} + 4 \, {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} - 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} - 2 \, c^{2} + 2 \, {\left(c^{4} + d^{4} - 2 \, {\left(3 \, c^{2} - 1\right)} d^{2} - 2 \, c^{2} + 2 \, {\left(c^{4} - d^{4} - 2 \, c^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right) - 4 \, {\left(c d^{3} + {\left(c^{3} - c\right)} d\right)} \sin\left(2 \, b x + 2 \, a\right) + 1\right)} \cos\left(4 \, b x + 4 \, a\right) + 4 \, {\left(c^{4} - d^{4} - 2 \, c^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right) - 4 \, {\left(2 \, c d^{3} - 2 \, {\left(c^{3} - c\right)} d - 2 \, {\left(c d^{3} + {\left(c^{3} - c\right)} d\right)} \cos\left(2 \, b x + 2 \, a\right) - {\left(c^{4} - d^{4} - 2 \, c^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)\right)} \sin\left(4 \, b x + 4 \, a\right) + 8 \, {\left(c d^{3} + {\left(c^{3} - c\right)} d\right)} \sin\left(2 \, b x + 2 \, a\right) + 1}\,{d x} + \frac{1}{8} \, x^{2} \log\left({\left(c^{2} + d^{2} + 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + 4 \, {\left(c + 1\right)} d \sin\left(2 \, b x + 2 \, a\right) + {\left(c^{2} + d^{2} + 2 \, c + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} + c^{2} + d^{2} + 2 \, {\left(c^{2} - d^{2} + 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right) + 2 \, c + 1\right) - \frac{1}{8} \, x^{2} \log\left({\left(c^{2} + d^{2} - 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + 4 \, {\left(c - 1\right)} d \sin\left(2 \, b x + 2 \, a\right) + {\left(c^{2} + d^{2} - 2 \, c + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} + c^{2} + d^{2} + 2 \, {\left(c^{2} - d^{2} - 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right) - 2 \, c + 1\right)"," ",0,"-2*b*d*integrate(-(2*(c^2 + d^2 - 1)*x^2*cos(2*b*x + 2*a)^2 + 2*c*d*x^2*sin(2*b*x + 2*a) + 2*(c^2 + d^2 - 1)*x^2*sin(2*b*x + 2*a)^2 + (c^2 - d^2 - 1)*x^2*cos(2*b*x + 2*a) - (2*c*d*x^2*sin(2*b*x + 2*a) - (c^2 - d^2 - 1)*x^2*cos(2*b*x + 2*a))*cos(4*b*x + 4*a) + (2*c*d*x^2*cos(2*b*x + 2*a) + (c^2 - d^2 - 1)*x^2*sin(2*b*x + 2*a))*sin(4*b*x + 4*a))/(c^4 + d^4 + 2*(c^2 + 1)*d^2 + (c^4 + d^4 + 2*(c^2 + 1)*d^2 - 2*c^2 + 1)*cos(4*b*x + 4*a)^2 + 4*(c^4 + d^4 + 2*(c^2 - 1)*d^2 - 2*c^2 + 1)*cos(2*b*x + 2*a)^2 + (c^4 + d^4 + 2*(c^2 + 1)*d^2 - 2*c^2 + 1)*sin(4*b*x + 4*a)^2 + 4*(c^4 + d^4 + 2*(c^2 - 1)*d^2 - 2*c^2 + 1)*sin(2*b*x + 2*a)^2 - 2*c^2 + 2*(c^4 + d^4 - 2*(3*c^2 - 1)*d^2 - 2*c^2 + 2*(c^4 - d^4 - 2*c^2 + 1)*cos(2*b*x + 2*a) - 4*(c*d^3 + (c^3 - c)*d)*sin(2*b*x + 2*a) + 1)*cos(4*b*x + 4*a) + 4*(c^4 - d^4 - 2*c^2 + 1)*cos(2*b*x + 2*a) - 4*(2*c*d^3 - 2*(c^3 - c)*d - 2*(c*d^3 + (c^3 - c)*d)*cos(2*b*x + 2*a) - (c^4 - d^4 - 2*c^2 + 1)*sin(2*b*x + 2*a))*sin(4*b*x + 4*a) + 8*(c*d^3 + (c^3 - c)*d)*sin(2*b*x + 2*a) + 1), x) + 1/8*x^2*log((c^2 + d^2 + 2*c + 1)*cos(2*b*x + 2*a)^2 + 4*(c + 1)*d*sin(2*b*x + 2*a) + (c^2 + d^2 + 2*c + 1)*sin(2*b*x + 2*a)^2 + c^2 + d^2 + 2*(c^2 - d^2 + 2*c + 1)*cos(2*b*x + 2*a) + 2*c + 1) - 1/8*x^2*log((c^2 + d^2 - 2*c + 1)*cos(2*b*x + 2*a)^2 + 4*(c - 1)*d*sin(2*b*x + 2*a) + (c^2 + d^2 - 2*c + 1)*sin(2*b*x + 2*a)^2 + c^2 + d^2 + 2*(c^2 - d^2 - 2*c + 1)*cos(2*b*x + 2*a) - 2*c + 1)","F",0
319,1,372,0,0.522762," ","integrate(arctanh(c+d*tan(b*x+a)),x, algorithm=""maxima"")","\frac{4 \, {\left(b x + a\right)} \operatorname{artanh}\left(d \tan\left(b x + a\right) + c\right) + {\left(\arctan\left(\frac{d^{2} \tan\left(b x + a\right) + {\left(c + 1\right)} d}{c^{2} + d^{2} + 2 \, c + 1}, \frac{{\left(c + 1\right)} d \tan\left(b x + a\right) + c^{2} + 2 \, c + 1}{c^{2} + d^{2} + 2 \, c + 1}\right) - \arctan\left(\frac{d^{2} \tan\left(b x + a\right) + {\left(c - 1\right)} d}{c^{2} + d^{2} - 2 \, c + 1}, \frac{{\left(c - 1\right)} d \tan\left(b x + a\right) + c^{2} - 2 \, c + 1}{c^{2} + d^{2} - 2 \, c + 1}\right)\right)} \log\left(\tan\left(b x + a\right)^{2} + 1\right) - {\left(b x + a\right)} \log\left(\frac{d^{2} \tan\left(b x + a\right)^{2} + 2 \, {\left(c + 1\right)} d \tan\left(b x + a\right) + c^{2} + 2 \, c + 1}{c^{2} + d^{2} + 2 \, c + 1}\right) + {\left(b x + a\right)} \log\left(\frac{d^{2} \tan\left(b x + a\right)^{2} + 2 \, {\left(c - 1\right)} d \tan\left(b x + a\right) + c^{2} - 2 \, c + 1}{c^{2} + d^{2} - 2 \, c + 1}\right) - i \, {\rm Li}_2\left(-\frac{i \, d \tan\left(b x + a\right) - d}{i \, c + d + i}\right) + i \, {\rm Li}_2\left(-\frac{i \, d \tan\left(b x + a\right) - d}{i \, c + d - i}\right) - i \, {\rm Li}_2\left(\frac{i \, d \tan\left(b x + a\right) + d}{-i \, c + d + i}\right) + i \, {\rm Li}_2\left(\frac{i \, d \tan\left(b x + a\right) + d}{-i \, c + d - i}\right)}{4 \, b}"," ",0,"1/4*(4*(b*x + a)*arctanh(d*tan(b*x + a) + c) + (arctan2((d^2*tan(b*x + a) + (c + 1)*d)/(c^2 + d^2 + 2*c + 1), ((c + 1)*d*tan(b*x + a) + c^2 + 2*c + 1)/(c^2 + d^2 + 2*c + 1)) - arctan2((d^2*tan(b*x + a) + (c - 1)*d)/(c^2 + d^2 - 2*c + 1), ((c - 1)*d*tan(b*x + a) + c^2 - 2*c + 1)/(c^2 + d^2 - 2*c + 1)))*log(tan(b*x + a)^2 + 1) - (b*x + a)*log((d^2*tan(b*x + a)^2 + 2*(c + 1)*d*tan(b*x + a) + c^2 + 2*c + 1)/(c^2 + d^2 + 2*c + 1)) + (b*x + a)*log((d^2*tan(b*x + a)^2 + 2*(c - 1)*d*tan(b*x + a) + c^2 - 2*c + 1)/(c^2 + d^2 - 2*c + 1)) - I*dilog(-(I*d*tan(b*x + a) - d)/(I*c + d + I)) + I*dilog(-(I*d*tan(b*x + a) - d)/(I*c + d - I)) - I*dilog((I*d*tan(b*x + a) + d)/(-I*c + d + I)) + I*dilog((I*d*tan(b*x + a) + d)/(-I*c + d - I)))/b","B",0
320,0,0,0,0.000000," ","integrate(arctanh(c+d*tan(b*x+a))/x,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(d \tan\left(b x + a\right) + c\right)}{x}\,{d x}"," ",0,"integrate(arctanh(d*tan(b*x + a) + c)/x, x)","F",0
321,1,341,0,0.371857," ","integrate(x^2*arctanh(1-I*d+d*tan(b*x+a)),x, algorithm=""maxima"")","\frac{\frac{12 \, {\left({\left(b x + a\right)}^{3} - 3 \, {\left(b x + a\right)}^{2} a + 3 \, {\left(b x + a\right)} a^{2}\right)} \operatorname{artanh}\left(d \tan\left(b x + a\right) - i \, d + 1\right)}{b^{2}} - \frac{-3 i \, {\left(b x + a\right)}^{4} + 12 i \, {\left(b x + a\right)}^{3} a - 18 i \, {\left(b x + a\right)}^{2} a^{2} + {\left(8 i \, {\left(b x + a\right)}^{3} - 18 i \, {\left(b x + a\right)}^{2} a + 18 i \, {\left(b x + a\right)} a^{2}\right)} \arctan\left(-d \cos\left(2 \, b x + 2 \, a\right) + \sin\left(2 \, b x + 2 \, a\right), d \sin\left(2 \, b x + 2 \, a\right) + \cos\left(2 \, b x + 2 \, a\right) + 1\right) + {\left(-12 i \, {\left(b x + a\right)}^{2} + 18 i \, {\left(b x + a\right)} a - 9 i \, a^{2}\right)} {\rm Li}_2\left({\left(i \, d - 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)}\right) + {\left(4 \, {\left(b x + a\right)}^{3} - 9 \, {\left(b x + a\right)}^{2} a + 9 \, {\left(b x + a\right)} a^{2}\right)} \log\left({\left(d^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(d^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} + 2 \, d \sin\left(2 \, b x + 2 \, a\right) + 2 \, \cos\left(2 \, b x + 2 \, a\right) + 1\right) + 3 \, {\left(4 \, b x + a\right)} {\rm Li}_{3}({\left(i \, d - 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)}) + 6 i \, {\rm Li}_{4}({\left(i \, d - 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)})}{b^{2}}}{36 \, b}"," ",0,"1/36*(12*((b*x + a)^3 - 3*(b*x + a)^2*a + 3*(b*x + a)*a^2)*arctanh(d*tan(b*x + a) - I*d + 1)/b^2 - (-3*I*(b*x + a)^4 + 12*I*(b*x + a)^3*a - 18*I*(b*x + a)^2*a^2 + (8*I*(b*x + a)^3 - 18*I*(b*x + a)^2*a + 18*I*(b*x + a)*a^2)*arctan2(-d*cos(2*b*x + 2*a) + sin(2*b*x + 2*a), d*sin(2*b*x + 2*a) + cos(2*b*x + 2*a) + 1) + (-12*I*(b*x + a)^2 + 18*I*(b*x + a)*a - 9*I*a^2)*dilog((I*d - 1)*e^(2*I*b*x + 2*I*a)) + (4*(b*x + a)^3 - 9*(b*x + a)^2*a + 9*(b*x + a)*a^2)*log((d^2 + 1)*cos(2*b*x + 2*a)^2 + (d^2 + 1)*sin(2*b*x + 2*a)^2 + 2*d*sin(2*b*x + 2*a) + 2*cos(2*b*x + 2*a) + 1) + 3*(4*b*x + a)*polylog(3, (I*d - 1)*e^(2*I*b*x + 2*I*a)) + 6*I*polylog(4, (I*d - 1)*e^(2*I*b*x + 2*I*a)))/b^2)/b","B",0
322,1,247,0,0.356746," ","integrate(x*arctanh(1-I*d+d*tan(b*x+a)),x, algorithm=""maxima"")","\frac{\frac{12 \, {\left({\left(b x + a\right)}^{2} - 2 \, {\left(b x + a\right)} a\right)} \operatorname{artanh}\left(d \tan\left(b x + a\right) - i \, d + 1\right)}{b} - \frac{-4 i \, {\left(b x + a\right)}^{3} + 12 i \, {\left(b x + a\right)}^{2} a - 6 i \, b x {\rm Li}_2\left({\left(i \, d - 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)}\right) + {\left(6 i \, {\left(b x + a\right)}^{2} - 12 i \, {\left(b x + a\right)} a\right)} \arctan\left(-d \cos\left(2 \, b x + 2 \, a\right) + \sin\left(2 \, b x + 2 \, a\right), d \sin\left(2 \, b x + 2 \, a\right) + \cos\left(2 \, b x + 2 \, a\right) + 1\right) + 3 \, {\left({\left(b x + a\right)}^{2} - 2 \, {\left(b x + a\right)} a\right)} \log\left({\left(d^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(d^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} + 2 \, d \sin\left(2 \, b x + 2 \, a\right) + 2 \, \cos\left(2 \, b x + 2 \, a\right) + 1\right) + 3 \, {\rm Li}_{3}({\left(i \, d - 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)})}{b}}{24 \, b}"," ",0,"1/24*(12*((b*x + a)^2 - 2*(b*x + a)*a)*arctanh(d*tan(b*x + a) - I*d + 1)/b - (-4*I*(b*x + a)^3 + 12*I*(b*x + a)^2*a - 6*I*b*x*dilog((I*d - 1)*e^(2*I*b*x + 2*I*a)) + (6*I*(b*x + a)^2 - 12*I*(b*x + a)*a)*arctan2(-d*cos(2*b*x + 2*a) + sin(2*b*x + 2*a), d*sin(2*b*x + 2*a) + cos(2*b*x + 2*a) + 1) + 3*((b*x + a)^2 - 2*(b*x + a)*a)*log((d^2 + 1)*cos(2*b*x + 2*a)^2 + (d^2 + 1)*sin(2*b*x + 2*a)^2 + 2*d*sin(2*b*x + 2*a) + 2*cos(2*b*x + 2*a) + 1) + 3*polylog(3, (I*d - 1)*e^(2*I*b*x + 2*I*a)))/b)/b","B",0
323,1,263,0,0.434211," ","integrate(arctanh(1-I*d+d*tan(b*x+a)),x, algorithm=""maxima"")","-\frac{4 \, {\left(b x + a\right)} d {\left(\frac{\log\left(d \tan\left(b x + a\right) - i \, d + 2\right)}{d} - \frac{\log\left(\tan\left(b x + a\right) - i\right)}{d}\right)} + d {\left(-\frac{2 i \, {\left(\log\left(d \tan\left(b x + a\right) - i \, d + 2\right) \log\left(-\frac{i \, d \tan\left(b x + a\right) + d + 2 i}{2 \, d + 2 i} + 1\right) + {\rm Li}_2\left(\frac{i \, d \tan\left(b x + a\right) + d + 2 i}{2 \, d + 2 i}\right)\right)}}{d} + \frac{2 i \, \log\left(d \tan\left(b x + a\right) - i \, d + 2\right) \log\left(\tan\left(b x + a\right) - i\right) - i \, \log\left(\tan\left(b x + a\right) - i\right)^{2}}{d} - \frac{2 i \, {\left(\log\left(\frac{1}{2} \, d \tan\left(b x + a\right) - \frac{1}{2} i \, d + 1\right) \log\left(\tan\left(b x + a\right) - i\right) + {\rm Li}_2\left(-\frac{1}{2} \, d \tan\left(b x + a\right) + \frac{1}{2} i \, d\right)\right)}}{d} + \frac{2 i \, {\left(\log\left(\tan\left(b x + a\right) - i\right) \log\left(-\frac{1}{2} i \, \tan\left(b x + a\right) + \frac{1}{2}\right) + {\rm Li}_2\left(\frac{1}{2} i \, \tan\left(b x + a\right) + \frac{1}{2}\right)\right)}}{d}\right)} - 8 \, {\left(b x + a\right)} \operatorname{artanh}\left(d \tan\left(b x + a\right) - i \, d + 1\right)}{8 \, b}"," ",0,"-1/8*(4*(b*x + a)*d*(log(d*tan(b*x + a) - I*d + 2)/d - log(tan(b*x + a) - I)/d) + d*(-2*I*(log(d*tan(b*x + a) - I*d + 2)*log(-(I*d*tan(b*x + a) + d + 2*I)/(2*d + 2*I) + 1) + dilog((I*d*tan(b*x + a) + d + 2*I)/(2*d + 2*I)))/d + (2*I*log(d*tan(b*x + a) - I*d + 2)*log(tan(b*x + a) - I) - I*log(tan(b*x + a) - I)^2)/d - 2*I*(log(1/2*d*tan(b*x + a) - 1/2*I*d + 1)*log(tan(b*x + a) - I) + dilog(-1/2*d*tan(b*x + a) + 1/2*I*d))/d + 2*I*(log(tan(b*x + a) - I)*log(-1/2*I*tan(b*x + a) + 1/2) + dilog(1/2*I*tan(b*x + a) + 1/2))/d) - 8*(b*x + a)*arctanh(d*tan(b*x + a) - I*d + 1))/b","B",0
324,0,0,0,0.000000," ","integrate(arctanh(1-I*d+d*tan(b*x+a))/x,x, algorithm=""maxima"")","-i \, b x + \frac{1}{4} \, {\left(i \, \pi - 4 i \, a - 2 \, \log\left(d\right)\right)} \log\left(x\right) - \frac{1}{2} i \, \int \frac{\arctan\left(-d \cos\left(2 \, b x + 2 \, a\right) + \sin\left(2 \, b x + 2 \, a\right), -d \sin\left(2 \, b x + 2 \, a\right) - \cos\left(2 \, b x + 2 \, a\right) - 1\right)}{x}\,{d x} + \frac{1}{4} \, \int \frac{\log\left({\left(d^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(d^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} + 2 \, d \sin\left(2 \, b x + 2 \, a\right) + 2 \, \cos\left(2 \, b x + 2 \, a\right) + 1\right)}{x}\,{d x}"," ",0,"-I*b*x + 1/4*(I*pi - 4*I*a - 2*log(d))*log(x) - 1/2*I*integrate(arctan2(-d*cos(2*b*x + 2*a) + sin(2*b*x + 2*a), -d*sin(2*b*x + 2*a) - cos(2*b*x + 2*a) - 1)/x, x) + 1/4*integrate(log((d^2 + 1)*cos(2*b*x + 2*a)^2 + (d^2 + 1)*sin(2*b*x + 2*a)^2 + 2*d*sin(2*b*x + 2*a) + 2*cos(2*b*x + 2*a) + 1)/x, x)","F",0
325,1,340,0,0.366189," ","integrate(-x^2*arctanh(-1-I*d+d*tan(b*x+a)),x, algorithm=""maxima"")","-\frac{\frac{12 \, {\left({\left(b x + a\right)}^{3} - 3 \, {\left(b x + a\right)}^{2} a + 3 \, {\left(b x + a\right)} a^{2}\right)} \operatorname{artanh}\left(d \tan\left(b x + a\right) - i \, d - 1\right)}{b^{2}} + \frac{-3 i \, {\left(b x + a\right)}^{4} + 12 i \, {\left(b x + a\right)}^{3} a - 18 i \, {\left(b x + a\right)}^{2} a^{2} + {\left(8 i \, {\left(b x + a\right)}^{3} - 18 i \, {\left(b x + a\right)}^{2} a + 18 i \, {\left(b x + a\right)} a^{2}\right)} \arctan\left(d \cos\left(2 \, b x + 2 \, a\right) + \sin\left(2 \, b x + 2 \, a\right), -d \sin\left(2 \, b x + 2 \, a\right) + \cos\left(2 \, b x + 2 \, a\right) + 1\right) + {\left(-12 i \, {\left(b x + a\right)}^{2} + 18 i \, {\left(b x + a\right)} a - 9 i \, a^{2}\right)} {\rm Li}_2\left({\left(-i \, d - 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)}\right) + {\left(4 \, {\left(b x + a\right)}^{3} - 9 \, {\left(b x + a\right)}^{2} a + 9 \, {\left(b x + a\right)} a^{2}\right)} \log\left({\left(d^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(d^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} - 2 \, d \sin\left(2 \, b x + 2 \, a\right) + 2 \, \cos\left(2 \, b x + 2 \, a\right) + 1\right) + 3 \, {\left(4 \, b x + a\right)} {\rm Li}_{3}({\left(-i \, d - 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)}) + 6 i \, {\rm Li}_{4}({\left(-i \, d - 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)})}{b^{2}}}{36 \, b}"," ",0,"-1/36*(12*((b*x + a)^3 - 3*(b*x + a)^2*a + 3*(b*x + a)*a^2)*arctanh(d*tan(b*x + a) - I*d - 1)/b^2 + (-3*I*(b*x + a)^4 + 12*I*(b*x + a)^3*a - 18*I*(b*x + a)^2*a^2 + (8*I*(b*x + a)^3 - 18*I*(b*x + a)^2*a + 18*I*(b*x + a)*a^2)*arctan2(d*cos(2*b*x + 2*a) + sin(2*b*x + 2*a), -d*sin(2*b*x + 2*a) + cos(2*b*x + 2*a) + 1) + (-12*I*(b*x + a)^2 + 18*I*(b*x + a)*a - 9*I*a^2)*dilog((-I*d - 1)*e^(2*I*b*x + 2*I*a)) + (4*(b*x + a)^3 - 9*(b*x + a)^2*a + 9*(b*x + a)*a^2)*log((d^2 + 1)*cos(2*b*x + 2*a)^2 + (d^2 + 1)*sin(2*b*x + 2*a)^2 - 2*d*sin(2*b*x + 2*a) + 2*cos(2*b*x + 2*a) + 1) + 3*(4*b*x + a)*polylog(3, (-I*d - 1)*e^(2*I*b*x + 2*I*a)) + 6*I*polylog(4, (-I*d - 1)*e^(2*I*b*x + 2*I*a)))/b^2)/b","B",0
326,1,246,0,0.356502," ","integrate(-x*arctanh(-1-I*d+d*tan(b*x+a)),x, algorithm=""maxima"")","-\frac{\frac{12 \, {\left({\left(b x + a\right)}^{2} - 2 \, {\left(b x + a\right)} a\right)} \operatorname{artanh}\left(d \tan\left(b x + a\right) - i \, d - 1\right)}{b} + \frac{-4 i \, {\left(b x + a\right)}^{3} + 12 i \, {\left(b x + a\right)}^{2} a - 6 i \, b x {\rm Li}_2\left({\left(-i \, d - 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)}\right) + {\left(6 i \, {\left(b x + a\right)}^{2} - 12 i \, {\left(b x + a\right)} a\right)} \arctan\left(d \cos\left(2 \, b x + 2 \, a\right) + \sin\left(2 \, b x + 2 \, a\right), -d \sin\left(2 \, b x + 2 \, a\right) + \cos\left(2 \, b x + 2 \, a\right) + 1\right) + 3 \, {\left({\left(b x + a\right)}^{2} - 2 \, {\left(b x + a\right)} a\right)} \log\left({\left(d^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(d^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} - 2 \, d \sin\left(2 \, b x + 2 \, a\right) + 2 \, \cos\left(2 \, b x + 2 \, a\right) + 1\right) + 3 \, {\rm Li}_{3}({\left(-i \, d - 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)})}{b}}{24 \, b}"," ",0,"-1/24*(12*((b*x + a)^2 - 2*(b*x + a)*a)*arctanh(d*tan(b*x + a) - I*d - 1)/b + (-4*I*(b*x + a)^3 + 12*I*(b*x + a)^2*a - 6*I*b*x*dilog((-I*d - 1)*e^(2*I*b*x + 2*I*a)) + (6*I*(b*x + a)^2 - 12*I*(b*x + a)*a)*arctan2(d*cos(2*b*x + 2*a) + sin(2*b*x + 2*a), -d*sin(2*b*x + 2*a) + cos(2*b*x + 2*a) + 1) + 3*((b*x + a)^2 - 2*(b*x + a)*a)*log((d^2 + 1)*cos(2*b*x + 2*a)^2 + (d^2 + 1)*sin(2*b*x + 2*a)^2 - 2*d*sin(2*b*x + 2*a) + 2*cos(2*b*x + 2*a) + 1) + 3*polylog(3, (-I*d - 1)*e^(2*I*b*x + 2*I*a)))/b)/b","B",0
327,1,265,0,0.431312," ","integrate(-arctanh(-1-I*d+d*tan(b*x+a)),x, algorithm=""maxima"")","-\frac{4 \, {\left(b x + a\right)} d {\left(\frac{\log\left(d \tan\left(b x + a\right) - i \, d - 2\right)}{d} - \frac{\log\left(\tan\left(b x + a\right) - i\right)}{d}\right)} - d {\left(\frac{2 i \, {\left(\log\left(d \tan\left(b x + a\right) - i \, d - 2\right) \log\left(-\frac{i \, d \tan\left(b x + a\right) + d - 2 i}{2 \, d - 2 i} + 1\right) + {\rm Li}_2\left(\frac{i \, d \tan\left(b x + a\right) + d - 2 i}{2 \, d - 2 i}\right)\right)}}{d} - \frac{2 i \, \log\left(d \tan\left(b x + a\right) - i \, d - 2\right) \log\left(\tan\left(b x + a\right) - i\right) - i \, \log\left(\tan\left(b x + a\right) - i\right)^{2}}{d} + \frac{2 i \, {\left(\log\left(-\frac{1}{2} \, d \tan\left(b x + a\right) + \frac{1}{2} i \, d + 1\right) \log\left(\tan\left(b x + a\right) - i\right) + {\rm Li}_2\left(\frac{1}{2} \, d \tan\left(b x + a\right) - \frac{1}{2} i \, d\right)\right)}}{d} - \frac{2 i \, {\left(\log\left(\tan\left(b x + a\right) - i\right) \log\left(-\frac{1}{2} i \, \tan\left(b x + a\right) + \frac{1}{2}\right) + {\rm Li}_2\left(\frac{1}{2} i \, \tan\left(b x + a\right) + \frac{1}{2}\right)\right)}}{d}\right)} + 8 \, {\left(b x + a\right)} \operatorname{artanh}\left(d \tan\left(b x + a\right) - i \, d - 1\right)}{8 \, b}"," ",0,"-1/8*(4*(b*x + a)*d*(log(d*tan(b*x + a) - I*d - 2)/d - log(tan(b*x + a) - I)/d) - d*(2*I*(log(d*tan(b*x + a) - I*d - 2)*log(-(I*d*tan(b*x + a) + d - 2*I)/(2*d - 2*I) + 1) + dilog((I*d*tan(b*x + a) + d - 2*I)/(2*d - 2*I)))/d - (2*I*log(d*tan(b*x + a) - I*d - 2)*log(tan(b*x + a) - I) - I*log(tan(b*x + a) - I)^2)/d + 2*I*(log(-1/2*d*tan(b*x + a) + 1/2*I*d + 1)*log(tan(b*x + a) - I) + dilog(1/2*d*tan(b*x + a) - 1/2*I*d))/d - 2*I*(log(tan(b*x + a) - I)*log(-1/2*I*tan(b*x + a) + 1/2) + dilog(1/2*I*tan(b*x + a) + 1/2))/d) + 8*(b*x + a)*arctanh(d*tan(b*x + a) - I*d - 1))/b","B",0
328,0,0,0,0.000000," ","integrate(-arctanh(-1-I*d+d*tan(b*x+a))/x,x, algorithm=""maxima"")","-i \, b x + \frac{1}{4} \, {\left(-i \, \pi - 4 i \, a - 2 \, \log\left(-d\right)\right)} \log\left(x\right) + \frac{1}{2} i \, \int \frac{\arctan\left(d \cos\left(2 \, b x + 2 \, a\right) + \sin\left(2 \, b x + 2 \, a\right), -d \sin\left(2 \, b x + 2 \, a\right) + \cos\left(2 \, b x + 2 \, a\right) + 1\right)}{x}\,{d x} + \frac{1}{4} \, \int \frac{\log\left({\left(d^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(d^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} - 2 \, d \sin\left(2 \, b x + 2 \, a\right) + 2 \, \cos\left(2 \, b x + 2 \, a\right) + 1\right)}{x}\,{d x}"," ",0,"-I*b*x + 1/4*(-I*pi - 4*I*a - 2*log(-d))*log(x) + 1/2*I*integrate(arctan2(d*cos(2*b*x + 2*a) + sin(2*b*x + 2*a), -d*sin(2*b*x + 2*a) + cos(2*b*x + 2*a) + 1)/x, x) + 1/4*integrate(log((d^2 + 1)*cos(2*b*x + 2*a)^2 + (d^2 + 1)*sin(2*b*x + 2*a)^2 - 2*d*sin(2*b*x + 2*a) + 2*cos(2*b*x + 2*a) + 1)/x, x)","F",0
329,0,0,0,0.000000," ","integrate((f*x+e)^3*arctanh(cot(b*x+a)),x, algorithm=""maxima"")","\frac{1}{16} \, {\left(f^{3} x^{4} + 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2} + 4 \, e^{3} x\right)} \log\left(2 \, \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, \sin\left(2 \, b x + 2 \, a\right)^{2} + 4 \, \sin\left(2 \, b x + 2 \, a\right) + 2\right) - \frac{1}{16} \, {\left(f^{3} x^{4} + 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2} + 4 \, e^{3} x\right)} \log\left(2 \, \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, \sin\left(2 \, b x + 2 \, a\right)^{2} - 4 \, \sin\left(2 \, b x + 2 \, a\right) + 2\right) - \int \frac{{\left(b f^{3} x^{4} + 4 \, b e f^{2} x^{3} + 6 \, b e^{2} f x^{2} + 4 \, b e^{3} x\right)} \cos\left(4 \, b x + 4 \, a\right) \cos\left(2 \, b x + 2 \, a\right) + {\left(b f^{3} x^{4} + 4 \, b e f^{2} x^{3} + 6 \, b e^{2} f x^{2} + 4 \, b e^{3} x\right)} \sin\left(4 \, b x + 4 \, a\right) \sin\left(2 \, b x + 2 \, a\right) + {\left(b f^{3} x^{4} + 4 \, b e f^{2} x^{3} + 6 \, b e^{2} f x^{2} + 4 \, b e^{3} x\right)} \cos\left(2 \, b x + 2 \, a\right)}{2 \, {\left(\cos\left(4 \, b x + 4 \, a\right)^{2} + \sin\left(4 \, b x + 4 \, a\right)^{2} + 2 \, \cos\left(4 \, b x + 4 \, a\right) + 1\right)}}\,{d x}"," ",0,"1/16*(f^3*x^4 + 4*e*f^2*x^3 + 6*e^2*f*x^2 + 4*e^3*x)*log(2*cos(2*b*x + 2*a)^2 + 2*sin(2*b*x + 2*a)^2 + 4*sin(2*b*x + 2*a) + 2) - 1/16*(f^3*x^4 + 4*e*f^2*x^3 + 6*e^2*f*x^2 + 4*e^3*x)*log(2*cos(2*b*x + 2*a)^2 + 2*sin(2*b*x + 2*a)^2 - 4*sin(2*b*x + 2*a) + 2) - integrate(1/2*((b*f^3*x^4 + 4*b*e*f^2*x^3 + 6*b*e^2*f*x^2 + 4*b*e^3*x)*cos(4*b*x + 4*a)*cos(2*b*x + 2*a) + (b*f^3*x^4 + 4*b*e*f^2*x^3 + 6*b*e^2*f*x^2 + 4*b*e^3*x)*sin(4*b*x + 4*a)*sin(2*b*x + 2*a) + (b*f^3*x^4 + 4*b*e*f^2*x^3 + 6*b*e^2*f*x^2 + 4*b*e^3*x)*cos(2*b*x + 2*a))/(cos(4*b*x + 4*a)^2 + sin(4*b*x + 4*a)^2 + 2*cos(4*b*x + 4*a) + 1), x)","F",0
330,0,0,0,0.000000," ","integrate((f*x+e)^2*arctanh(cot(b*x+a)),x, algorithm=""maxima"")","\frac{1}{12} \, {\left(f^{2} x^{3} + 3 \, e f x^{2} + 3 \, e^{2} x\right)} \log\left(2 \, \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, \sin\left(2 \, b x + 2 \, a\right)^{2} + 4 \, \sin\left(2 \, b x + 2 \, a\right) + 2\right) - \frac{1}{12} \, {\left(f^{2} x^{3} + 3 \, e f x^{2} + 3 \, e^{2} x\right)} \log\left(2 \, \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, \sin\left(2 \, b x + 2 \, a\right)^{2} - 4 \, \sin\left(2 \, b x + 2 \, a\right) + 2\right) - \int \frac{2 \, {\left({\left(b f^{2} x^{3} + 3 \, b e f x^{2} + 3 \, b e^{2} x\right)} \cos\left(4 \, b x + 4 \, a\right) \cos\left(2 \, b x + 2 \, a\right) + {\left(b f^{2} x^{3} + 3 \, b e f x^{2} + 3 \, b e^{2} x\right)} \sin\left(4 \, b x + 4 \, a\right) \sin\left(2 \, b x + 2 \, a\right) + {\left(b f^{2} x^{3} + 3 \, b e f x^{2} + 3 \, b e^{2} x\right)} \cos\left(2 \, b x + 2 \, a\right)\right)}}{3 \, {\left(\cos\left(4 \, b x + 4 \, a\right)^{2} + \sin\left(4 \, b x + 4 \, a\right)^{2} + 2 \, \cos\left(4 \, b x + 4 \, a\right) + 1\right)}}\,{d x}"," ",0,"1/12*(f^2*x^3 + 3*e*f*x^2 + 3*e^2*x)*log(2*cos(2*b*x + 2*a)^2 + 2*sin(2*b*x + 2*a)^2 + 4*sin(2*b*x + 2*a) + 2) - 1/12*(f^2*x^3 + 3*e*f*x^2 + 3*e^2*x)*log(2*cos(2*b*x + 2*a)^2 + 2*sin(2*b*x + 2*a)^2 - 4*sin(2*b*x + 2*a) + 2) - integrate(2/3*((b*f^2*x^3 + 3*b*e*f*x^2 + 3*b*e^2*x)*cos(4*b*x + 4*a)*cos(2*b*x + 2*a) + (b*f^2*x^3 + 3*b*e*f*x^2 + 3*b*e^2*x)*sin(4*b*x + 4*a)*sin(2*b*x + 2*a) + (b*f^2*x^3 + 3*b*e*f*x^2 + 3*b*e^2*x)*cos(2*b*x + 2*a))/(cos(4*b*x + 4*a)^2 + sin(4*b*x + 4*a)^2 + 2*cos(4*b*x + 4*a) + 1), x)","F",0
331,0,0,0,0.000000," ","integrate((f*x+e)*arctanh(cot(b*x+a)),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(f x^{2} + 2 \, e x\right)} \log\left(2 \, \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, \sin\left(2 \, b x + 2 \, a\right)^{2} + 4 \, \sin\left(2 \, b x + 2 \, a\right) + 2\right) - \frac{1}{8} \, {\left(f x^{2} + 2 \, e x\right)} \log\left(2 \, \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, \sin\left(2 \, b x + 2 \, a\right)^{2} - 4 \, \sin\left(2 \, b x + 2 \, a\right) + 2\right) - \int \frac{{\left(b f x^{2} + 2 \, b e x\right)} \cos\left(4 \, b x + 4 \, a\right) \cos\left(2 \, b x + 2 \, a\right) + {\left(b f x^{2} + 2 \, b e x\right)} \sin\left(4 \, b x + 4 \, a\right) \sin\left(2 \, b x + 2 \, a\right) + {\left(b f x^{2} + 2 \, b e x\right)} \cos\left(2 \, b x + 2 \, a\right)}{\cos\left(4 \, b x + 4 \, a\right)^{2} + \sin\left(4 \, b x + 4 \, a\right)^{2} + 2 \, \cos\left(4 \, b x + 4 \, a\right) + 1}\,{d x}"," ",0,"1/8*(f*x^2 + 2*e*x)*log(2*cos(2*b*x + 2*a)^2 + 2*sin(2*b*x + 2*a)^2 + 4*sin(2*b*x + 2*a) + 2) - 1/8*(f*x^2 + 2*e*x)*log(2*cos(2*b*x + 2*a)^2 + 2*sin(2*b*x + 2*a)^2 - 4*sin(2*b*x + 2*a) + 2) - integrate(((b*f*x^2 + 2*b*e*x)*cos(4*b*x + 4*a)*cos(2*b*x + 2*a) + (b*f*x^2 + 2*b*e*x)*sin(4*b*x + 4*a)*sin(2*b*x + 2*a) + (b*f*x^2 + 2*b*e*x)*cos(2*b*x + 2*a))/(cos(4*b*x + 4*a)^2 + sin(4*b*x + 4*a)^2 + 2*cos(4*b*x + 4*a) + 1), x)","F",0
332,1,184,0,0.467905," ","integrate(arctanh(cot(b*x+a)),x, algorithm=""maxima"")","\frac{4 \, {\left(b x + a\right)} \operatorname{artanh}\left(\frac{1}{\tan\left(b x + a\right)}\right) + {\left(\arctan\left(\frac{1}{2} \, \tan\left(b x + a\right) + \frac{1}{2}, \frac{1}{2} \, \tan\left(b x + a\right) + \frac{1}{2}\right) - \arctan\left(\frac{1}{2} \, \tan\left(b x + a\right) - \frac{1}{2}, -\frac{1}{2} \, \tan\left(b x + a\right) + \frac{1}{2}\right)\right)} \log\left(\tan\left(b x + a\right)^{2} + 1\right) - {\left(b x + a\right)} \log\left(\frac{1}{2} \, \tan\left(b x + a\right)^{2} + \tan\left(b x + a\right) + \frac{1}{2}\right) + {\left(b x + a\right)} \log\left(\frac{1}{2} \, \tan\left(b x + a\right)^{2} - \tan\left(b x + a\right) + \frac{1}{2}\right) - i \, {\rm Li}_2\left(\left(\frac{1}{2} i + \frac{1}{2}\right) \, \tan\left(b x + a\right) - \frac{1}{2} i + \frac{1}{2}\right) + i \, {\rm Li}_2\left(-\left(\frac{1}{2} i - \frac{1}{2}\right) \, \tan\left(b x + a\right) + \frac{1}{2} i + \frac{1}{2}\right) + i \, {\rm Li}_2\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \tan\left(b x + a\right) + \frac{1}{2} i + \frac{1}{2}\right) - i \, {\rm Li}_2\left(-\left(\frac{1}{2} i + \frac{1}{2}\right) \, \tan\left(b x + a\right) - \frac{1}{2} i + \frac{1}{2}\right)}{4 \, b}"," ",0,"1/4*(4*(b*x + a)*arctanh(1/tan(b*x + a)) + (arctan2(1/2*tan(b*x + a) + 1/2, 1/2*tan(b*x + a) + 1/2) - arctan2(1/2*tan(b*x + a) - 1/2, -1/2*tan(b*x + a) + 1/2))*log(tan(b*x + a)^2 + 1) - (b*x + a)*log(1/2*tan(b*x + a)^2 + tan(b*x + a) + 1/2) + (b*x + a)*log(1/2*tan(b*x + a)^2 - tan(b*x + a) + 1/2) - I*dilog((1/2*I + 1/2)*tan(b*x + a) - 1/2*I + 1/2) + I*dilog(-(1/2*I - 1/2)*tan(b*x + a) + 1/2*I + 1/2) + I*dilog((1/2*I - 1/2)*tan(b*x + a) + 1/2*I + 1/2) - I*dilog(-(1/2*I + 1/2)*tan(b*x + a) - 1/2*I + 1/2))/b","B",0
333,0,0,0,0.000000," ","integrate(arctanh(cot(b*x+a))/(f*x+e),x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(\cot\left(b x + a\right)\right)}{f x + e}\,{d x}"," ",0,"integrate(arctanh(cot(b*x + a))/(f*x + e), x)","F",0
334,0,0,0,0.000000," ","integrate(x^2*arctanh(c+d*cot(b*x+a)),x, algorithm=""maxima"")","\frac{1}{12} \, x^{3} \log\left({\left(c^{2} + d^{2} + 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + 4 \, {\left(c + 1\right)} d \sin\left(2 \, b x + 2 \, a\right) + {\left(c^{2} + d^{2} + 2 \, c + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} + c^{2} + d^{2} - 2 \, {\left(c^{2} - d^{2} + 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right) + 2 \, c + 1\right) - \frac{1}{12} \, x^{3} \log\left({\left(c^{2} + d^{2} - 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + 4 \, {\left(c - 1\right)} d \sin\left(2 \, b x + 2 \, a\right) + {\left(c^{2} + d^{2} - 2 \, c + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} + c^{2} + d^{2} - 2 \, {\left(c^{2} - d^{2} - 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right) - 2 \, c + 1\right) - 4 \, b d \int \frac{2 \, {\left(c^{2} + d^{2} - 1\right)} x^{3} \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, c d x^{3} \sin\left(2 \, b x + 2 \, a\right) + 2 \, {\left(c^{2} + d^{2} - 1\right)} x^{3} \sin\left(2 \, b x + 2 \, a\right)^{2} - {\left(c^{2} - d^{2} - 1\right)} x^{3} \cos\left(2 \, b x + 2 \, a\right) - {\left(2 \, c d x^{3} \sin\left(2 \, b x + 2 \, a\right) + {\left(c^{2} - d^{2} - 1\right)} x^{3} \cos\left(2 \, b x + 2 \, a\right)\right)} \cos\left(4 \, b x + 4 \, a\right) + {\left(2 \, c d x^{3} \cos\left(2 \, b x + 2 \, a\right) - {\left(c^{2} - d^{2} - 1\right)} x^{3} \sin\left(2 \, b x + 2 \, a\right)\right)} \sin\left(4 \, b x + 4 \, a\right)}{3 \, {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} + 1\right)} d^{2} + {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} + 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \cos\left(4 \, b x + 4 \, a\right)^{2} + 4 \, {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} - 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} + 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \sin\left(4 \, b x + 4 \, a\right)^{2} + 4 \, {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} - 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} - 2 \, c^{2} + 2 \, {\left(c^{4} + d^{4} - 2 \, {\left(3 \, c^{2} - 1\right)} d^{2} - 2 \, c^{2} - 2 \, {\left(c^{4} - d^{4} - 2 \, c^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right) - 4 \, {\left(c d^{3} + {\left(c^{3} - c\right)} d\right)} \sin\left(2 \, b x + 2 \, a\right) + 1\right)} \cos\left(4 \, b x + 4 \, a\right) - 4 \, {\left(c^{4} - d^{4} - 2 \, c^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right) + 4 \, {\left(2 \, c d^{3} - 2 \, {\left(c^{3} - c\right)} d + 2 \, {\left(c d^{3} + {\left(c^{3} - c\right)} d\right)} \cos\left(2 \, b x + 2 \, a\right) - {\left(c^{4} - d^{4} - 2 \, c^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)\right)} \sin\left(4 \, b x + 4 \, a\right) + 8 \, {\left(c d^{3} + {\left(c^{3} - c\right)} d\right)} \sin\left(2 \, b x + 2 \, a\right) + 1\right)}}\,{d x}"," ",0,"1/12*x^3*log((c^2 + d^2 + 2*c + 1)*cos(2*b*x + 2*a)^2 + 4*(c + 1)*d*sin(2*b*x + 2*a) + (c^2 + d^2 + 2*c + 1)*sin(2*b*x + 2*a)^2 + c^2 + d^2 - 2*(c^2 - d^2 + 2*c + 1)*cos(2*b*x + 2*a) + 2*c + 1) - 1/12*x^3*log((c^2 + d^2 - 2*c + 1)*cos(2*b*x + 2*a)^2 + 4*(c - 1)*d*sin(2*b*x + 2*a) + (c^2 + d^2 - 2*c + 1)*sin(2*b*x + 2*a)^2 + c^2 + d^2 - 2*(c^2 - d^2 - 2*c + 1)*cos(2*b*x + 2*a) - 2*c + 1) - 4*b*d*integrate(1/3*(2*(c^2 + d^2 - 1)*x^3*cos(2*b*x + 2*a)^2 + 2*c*d*x^3*sin(2*b*x + 2*a) + 2*(c^2 + d^2 - 1)*x^3*sin(2*b*x + 2*a)^2 - (c^2 - d^2 - 1)*x^3*cos(2*b*x + 2*a) - (2*c*d*x^3*sin(2*b*x + 2*a) + (c^2 - d^2 - 1)*x^3*cos(2*b*x + 2*a))*cos(4*b*x + 4*a) + (2*c*d*x^3*cos(2*b*x + 2*a) - (c^2 - d^2 - 1)*x^3*sin(2*b*x + 2*a))*sin(4*b*x + 4*a))/(c^4 + d^4 + 2*(c^2 + 1)*d^2 + (c^4 + d^4 + 2*(c^2 + 1)*d^2 - 2*c^2 + 1)*cos(4*b*x + 4*a)^2 + 4*(c^4 + d^4 + 2*(c^2 - 1)*d^2 - 2*c^2 + 1)*cos(2*b*x + 2*a)^2 + (c^4 + d^4 + 2*(c^2 + 1)*d^2 - 2*c^2 + 1)*sin(4*b*x + 4*a)^2 + 4*(c^4 + d^4 + 2*(c^2 - 1)*d^2 - 2*c^2 + 1)*sin(2*b*x + 2*a)^2 - 2*c^2 + 2*(c^4 + d^4 - 2*(3*c^2 - 1)*d^2 - 2*c^2 - 2*(c^4 - d^4 - 2*c^2 + 1)*cos(2*b*x + 2*a) - 4*(c*d^3 + (c^3 - c)*d)*sin(2*b*x + 2*a) + 1)*cos(4*b*x + 4*a) - 4*(c^4 - d^4 - 2*c^2 + 1)*cos(2*b*x + 2*a) + 4*(2*c*d^3 - 2*(c^3 - c)*d + 2*(c*d^3 + (c^3 - c)*d)*cos(2*b*x + 2*a) - (c^4 - d^4 - 2*c^2 + 1)*sin(2*b*x + 2*a))*sin(4*b*x + 4*a) + 8*(c*d^3 + (c^3 - c)*d)*sin(2*b*x + 2*a) + 1), x)","F",0
335,0,0,0,0.000000," ","integrate(x*arctanh(c+d*cot(b*x+a)),x, algorithm=""maxima"")","-2 \, b d \int \frac{2 \, {\left(c^{2} + d^{2} - 1\right)} x^{2} \cos\left(2 \, b x + 2 \, a\right)^{2} + 2 \, c d x^{2} \sin\left(2 \, b x + 2 \, a\right) + 2 \, {\left(c^{2} + d^{2} - 1\right)} x^{2} \sin\left(2 \, b x + 2 \, a\right)^{2} - {\left(c^{2} - d^{2} - 1\right)} x^{2} \cos\left(2 \, b x + 2 \, a\right) - {\left(2 \, c d x^{2} \sin\left(2 \, b x + 2 \, a\right) + {\left(c^{2} - d^{2} - 1\right)} x^{2} \cos\left(2 \, b x + 2 \, a\right)\right)} \cos\left(4 \, b x + 4 \, a\right) + {\left(2 \, c d x^{2} \cos\left(2 \, b x + 2 \, a\right) - {\left(c^{2} - d^{2} - 1\right)} x^{2} \sin\left(2 \, b x + 2 \, a\right)\right)} \sin\left(4 \, b x + 4 \, a\right)}{c^{4} + d^{4} + 2 \, {\left(c^{2} + 1\right)} d^{2} + {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} + 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \cos\left(4 \, b x + 4 \, a\right)^{2} + 4 \, {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} - 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} + 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \sin\left(4 \, b x + 4 \, a\right)^{2} + 4 \, {\left(c^{4} + d^{4} + 2 \, {\left(c^{2} - 1\right)} d^{2} - 2 \, c^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} - 2 \, c^{2} + 2 \, {\left(c^{4} + d^{4} - 2 \, {\left(3 \, c^{2} - 1\right)} d^{2} - 2 \, c^{2} - 2 \, {\left(c^{4} - d^{4} - 2 \, c^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right) - 4 \, {\left(c d^{3} + {\left(c^{3} - c\right)} d\right)} \sin\left(2 \, b x + 2 \, a\right) + 1\right)} \cos\left(4 \, b x + 4 \, a\right) - 4 \, {\left(c^{4} - d^{4} - 2 \, c^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right) + 4 \, {\left(2 \, c d^{3} - 2 \, {\left(c^{3} - c\right)} d + 2 \, {\left(c d^{3} + {\left(c^{3} - c\right)} d\right)} \cos\left(2 \, b x + 2 \, a\right) - {\left(c^{4} - d^{4} - 2 \, c^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)\right)} \sin\left(4 \, b x + 4 \, a\right) + 8 \, {\left(c d^{3} + {\left(c^{3} - c\right)} d\right)} \sin\left(2 \, b x + 2 \, a\right) + 1}\,{d x} + \frac{1}{8} \, x^{2} \log\left({\left(c^{2} + d^{2} + 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + 4 \, {\left(c + 1\right)} d \sin\left(2 \, b x + 2 \, a\right) + {\left(c^{2} + d^{2} + 2 \, c + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} + c^{2} + d^{2} - 2 \, {\left(c^{2} - d^{2} + 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right) + 2 \, c + 1\right) - \frac{1}{8} \, x^{2} \log\left({\left(c^{2} + d^{2} - 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + 4 \, {\left(c - 1\right)} d \sin\left(2 \, b x + 2 \, a\right) + {\left(c^{2} + d^{2} - 2 \, c + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} + c^{2} + d^{2} - 2 \, {\left(c^{2} - d^{2} - 2 \, c + 1\right)} \cos\left(2 \, b x + 2 \, a\right) - 2 \, c + 1\right)"," ",0,"-2*b*d*integrate((2*(c^2 + d^2 - 1)*x^2*cos(2*b*x + 2*a)^2 + 2*c*d*x^2*sin(2*b*x + 2*a) + 2*(c^2 + d^2 - 1)*x^2*sin(2*b*x + 2*a)^2 - (c^2 - d^2 - 1)*x^2*cos(2*b*x + 2*a) - (2*c*d*x^2*sin(2*b*x + 2*a) + (c^2 - d^2 - 1)*x^2*cos(2*b*x + 2*a))*cos(4*b*x + 4*a) + (2*c*d*x^2*cos(2*b*x + 2*a) - (c^2 - d^2 - 1)*x^2*sin(2*b*x + 2*a))*sin(4*b*x + 4*a))/(c^4 + d^4 + 2*(c^2 + 1)*d^2 + (c^4 + d^4 + 2*(c^2 + 1)*d^2 - 2*c^2 + 1)*cos(4*b*x + 4*a)^2 + 4*(c^4 + d^4 + 2*(c^2 - 1)*d^2 - 2*c^2 + 1)*cos(2*b*x + 2*a)^2 + (c^4 + d^4 + 2*(c^2 + 1)*d^2 - 2*c^2 + 1)*sin(4*b*x + 4*a)^2 + 4*(c^4 + d^4 + 2*(c^2 - 1)*d^2 - 2*c^2 + 1)*sin(2*b*x + 2*a)^2 - 2*c^2 + 2*(c^4 + d^4 - 2*(3*c^2 - 1)*d^2 - 2*c^2 - 2*(c^4 - d^4 - 2*c^2 + 1)*cos(2*b*x + 2*a) - 4*(c*d^3 + (c^3 - c)*d)*sin(2*b*x + 2*a) + 1)*cos(4*b*x + 4*a) - 4*(c^4 - d^4 - 2*c^2 + 1)*cos(2*b*x + 2*a) + 4*(2*c*d^3 - 2*(c^3 - c)*d + 2*(c*d^3 + (c^3 - c)*d)*cos(2*b*x + 2*a) - (c^4 - d^4 - 2*c^2 + 1)*sin(2*b*x + 2*a))*sin(4*b*x + 4*a) + 8*(c*d^3 + (c^3 - c)*d)*sin(2*b*x + 2*a) + 1), x) + 1/8*x^2*log((c^2 + d^2 + 2*c + 1)*cos(2*b*x + 2*a)^2 + 4*(c + 1)*d*sin(2*b*x + 2*a) + (c^2 + d^2 + 2*c + 1)*sin(2*b*x + 2*a)^2 + c^2 + d^2 - 2*(c^2 - d^2 + 2*c + 1)*cos(2*b*x + 2*a) + 2*c + 1) - 1/8*x^2*log((c^2 + d^2 - 2*c + 1)*cos(2*b*x + 2*a)^2 + 4*(c - 1)*d*sin(2*b*x + 2*a) + (c^2 + d^2 - 2*c + 1)*sin(2*b*x + 2*a)^2 + c^2 + d^2 - 2*(c^2 - d^2 - 2*c + 1)*cos(2*b*x + 2*a) - 2*c + 1)","F",0
336,1,392,0,0.530683," ","integrate(arctanh(c+d*cot(b*x+a)),x, algorithm=""maxima"")","\frac{4 \, {\left(b x + a\right)} \operatorname{artanh}\left(c + \frac{d}{\tan\left(b x + a\right)}\right) + {\left(\arctan\left(\frac{{\left(c + 1\right)} d + {\left(c^{2} + 2 \, c + 1\right)} \tan\left(b x + a\right)}{c^{2} + d^{2} + 2 \, c + 1}, \frac{{\left(c + 1\right)} d \tan\left(b x + a\right) + d^{2}}{c^{2} + d^{2} + 2 \, c + 1}\right) - \arctan\left(\frac{{\left(c - 1\right)} d + {\left(c^{2} - 2 \, c + 1\right)} \tan\left(b x + a\right)}{c^{2} + d^{2} - 2 \, c + 1}, \frac{{\left(c - 1\right)} d \tan\left(b x + a\right) + d^{2}}{c^{2} + d^{2} - 2 \, c + 1}\right)\right)} \log\left(\tan\left(b x + a\right)^{2} + 1\right) - {\left(b x + a\right)} \log\left(\frac{2 \, {\left(c + 1\right)} d \tan\left(b x + a\right) + {\left(c^{2} + 2 \, c + 1\right)} \tan\left(b x + a\right)^{2} + d^{2}}{c^{2} + d^{2} + 2 \, c + 1}\right) + {\left(b x + a\right)} \log\left(\frac{2 \, {\left(c - 1\right)} d \tan\left(b x + a\right) + {\left(c^{2} - 2 \, c + 1\right)} \tan\left(b x + a\right)^{2} + d^{2}}{c^{2} + d^{2} - 2 \, c + 1}\right) + i \, {\rm Li}_2\left(-\frac{{\left(c + 1\right)} \tan\left(b x + a\right) - i \, c - i}{i \, c + d + i}\right) - i \, {\rm Li}_2\left(-\frac{{\left(c - 1\right)} \tan\left(b x + a\right) - i \, c + i}{i \, c + d - i}\right) + i \, {\rm Li}_2\left(-\frac{{\left(c - 1\right)} \tan\left(b x + a\right) + i \, c - i}{-i \, c + d + i}\right) - i \, {\rm Li}_2\left(-\frac{{\left(c + 1\right)} \tan\left(b x + a\right) + i \, c + i}{-i \, c + d - i}\right)}{4 \, b}"," ",0,"1/4*(4*(b*x + a)*arctanh(c + d/tan(b*x + a)) + (arctan2(((c + 1)*d + (c^2 + 2*c + 1)*tan(b*x + a))/(c^2 + d^2 + 2*c + 1), ((c + 1)*d*tan(b*x + a) + d^2)/(c^2 + d^2 + 2*c + 1)) - arctan2(((c - 1)*d + (c^2 - 2*c + 1)*tan(b*x + a))/(c^2 + d^2 - 2*c + 1), ((c - 1)*d*tan(b*x + a) + d^2)/(c^2 + d^2 - 2*c + 1)))*log(tan(b*x + a)^2 + 1) - (b*x + a)*log((2*(c + 1)*d*tan(b*x + a) + (c^2 + 2*c + 1)*tan(b*x + a)^2 + d^2)/(c^2 + d^2 + 2*c + 1)) + (b*x + a)*log((2*(c - 1)*d*tan(b*x + a) + (c^2 - 2*c + 1)*tan(b*x + a)^2 + d^2)/(c^2 + d^2 - 2*c + 1)) + I*dilog(-((c + 1)*tan(b*x + a) - I*c - I)/(I*c + d + I)) - I*dilog(-((c - 1)*tan(b*x + a) - I*c + I)/(I*c + d - I)) + I*dilog(-((c - 1)*tan(b*x + a) + I*c - I)/(-I*c + d + I)) - I*dilog(-((c + 1)*tan(b*x + a) + I*c + I)/(-I*c + d - I)))/b","B",0
337,0,0,0,0.000000," ","integrate(arctanh(c+d*cot(b*x+a))/x,x, algorithm=""maxima"")","\int \frac{\operatorname{artanh}\left(d \cot\left(b x + a\right) + c\right)}{x}\,{d x}"," ",0,"integrate(arctanh(d*cot(b*x + a) + c)/x, x)","F",0
338,1,342,0,0.369264," ","integrate(x^2*arctanh(1+I*d+d*cot(b*x+a)),x, algorithm=""maxima"")","\frac{\frac{12 \, {\left({\left(b x + a\right)}^{3} - 3 \, {\left(b x + a\right)}^{2} a + 3 \, {\left(b x + a\right)} a^{2}\right)} \operatorname{artanh}\left(d \cot\left(b x + a\right) + i \, d + 1\right)}{b^{2}} - \frac{-3 i \, {\left(b x + a\right)}^{4} + 12 i \, {\left(b x + a\right)}^{3} a - 18 i \, {\left(b x + a\right)}^{2} a^{2} + {\left(-8 i \, {\left(b x + a\right)}^{3} + 18 i \, {\left(b x + a\right)}^{2} a - 18 i \, {\left(b x + a\right)} a^{2}\right)} \arctan\left(d \cos\left(2 \, b x + 2 \, a\right) + \sin\left(2 \, b x + 2 \, a\right), d \sin\left(2 \, b x + 2 \, a\right) - \cos\left(2 \, b x + 2 \, a\right) + 1\right) + {\left(-12 i \, {\left(b x + a\right)}^{2} + 18 i \, {\left(b x + a\right)} a - 9 i \, a^{2}\right)} {\rm Li}_2\left({\left(i \, d + 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)}\right) + {\left(4 \, {\left(b x + a\right)}^{3} - 9 \, {\left(b x + a\right)}^{2} a + 9 \, {\left(b x + a\right)} a^{2}\right)} \log\left({\left(d^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(d^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} + 2 \, d \sin\left(2 \, b x + 2 \, a\right) - 2 \, \cos\left(2 \, b x + 2 \, a\right) + 1\right) + 3 \, {\left(4 \, b x + a\right)} {\rm Li}_{3}({\left(i \, d + 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)}) + 6 i \, {\rm Li}_{4}({\left(i \, d + 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)})}{b^{2}}}{36 \, b}"," ",0,"1/36*(12*((b*x + a)^3 - 3*(b*x + a)^2*a + 3*(b*x + a)*a^2)*arctanh(d*cot(b*x + a) + I*d + 1)/b^2 - (-3*I*(b*x + a)^4 + 12*I*(b*x + a)^3*a - 18*I*(b*x + a)^2*a^2 + (-8*I*(b*x + a)^3 + 18*I*(b*x + a)^2*a - 18*I*(b*x + a)*a^2)*arctan2(d*cos(2*b*x + 2*a) + sin(2*b*x + 2*a), d*sin(2*b*x + 2*a) - cos(2*b*x + 2*a) + 1) + (-12*I*(b*x + a)^2 + 18*I*(b*x + a)*a - 9*I*a^2)*dilog((I*d + 1)*e^(2*I*b*x + 2*I*a)) + (4*(b*x + a)^3 - 9*(b*x + a)^2*a + 9*(b*x + a)*a^2)*log((d^2 + 1)*cos(2*b*x + 2*a)^2 + (d^2 + 1)*sin(2*b*x + 2*a)^2 + 2*d*sin(2*b*x + 2*a) - 2*cos(2*b*x + 2*a) + 1) + 3*(4*b*x + a)*polylog(3, (I*d + 1)*e^(2*I*b*x + 2*I*a)) + 6*I*polylog(4, (I*d + 1)*e^(2*I*b*x + 2*I*a)))/b^2)/b","B",0
339,1,248,0,0.354250," ","integrate(x*arctanh(1+I*d+d*cot(b*x+a)),x, algorithm=""maxima"")","\frac{\frac{12 \, {\left({\left(b x + a\right)}^{2} - 2 \, {\left(b x + a\right)} a\right)} \operatorname{artanh}\left(d \cot\left(b x + a\right) + i \, d + 1\right)}{b} - \frac{-4 i \, {\left(b x + a\right)}^{3} + 12 i \, {\left(b x + a\right)}^{2} a - 6 i \, b x {\rm Li}_2\left({\left(i \, d + 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)}\right) + {\left(-6 i \, {\left(b x + a\right)}^{2} + 12 i \, {\left(b x + a\right)} a\right)} \arctan\left(d \cos\left(2 \, b x + 2 \, a\right) + \sin\left(2 \, b x + 2 \, a\right), d \sin\left(2 \, b x + 2 \, a\right) - \cos\left(2 \, b x + 2 \, a\right) + 1\right) + 3 \, {\left({\left(b x + a\right)}^{2} - 2 \, {\left(b x + a\right)} a\right)} \log\left({\left(d^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(d^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} + 2 \, d \sin\left(2 \, b x + 2 \, a\right) - 2 \, \cos\left(2 \, b x + 2 \, a\right) + 1\right) + 3 \, {\rm Li}_{3}({\left(i \, d + 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)})}{b}}{24 \, b}"," ",0,"1/24*(12*((b*x + a)^2 - 2*(b*x + a)*a)*arctanh(d*cot(b*x + a) + I*d + 1)/b - (-4*I*(b*x + a)^3 + 12*I*(b*x + a)^2*a - 6*I*b*x*dilog((I*d + 1)*e^(2*I*b*x + 2*I*a)) + (-6*I*(b*x + a)^2 + 12*I*(b*x + a)*a)*arctan2(d*cos(2*b*x + 2*a) + sin(2*b*x + 2*a), d*sin(2*b*x + 2*a) - cos(2*b*x + 2*a) + 1) + 3*((b*x + a)^2 - 2*(b*x + a)*a)*log((d^2 + 1)*cos(2*b*x + 2*a)^2 + (d^2 + 1)*sin(2*b*x + 2*a)^2 + 2*d*sin(2*b*x + 2*a) - 2*cos(2*b*x + 2*a) + 1) + 3*polylog(3, (I*d + 1)*e^(2*I*b*x + 2*I*a)))/b)/b","B",0
340,1,288,0,0.492904," ","integrate(arctanh(1+I*d+d*cot(b*x+a)),x, algorithm=""maxima"")","-\frac{4 \, {\left(b x + a\right)} d {\left(\frac{\log\left({\left(i \, d + 2\right)} \tan\left(b x + a\right) + d\right)}{d} - \frac{\log\left(i \, \tan\left(b x + a\right) + 1\right)}{d}\right)} - d {\left(\frac{2 i \, {\left(\log\left({\left(i \, d + 2\right)} \tan\left(b x + a\right) + d\right) \log\left(\frac{{\left(d - 2 i\right)} \tan\left(b x + a\right) - i \, d}{2 i \, d + 2} + 1\right) + {\rm Li}_2\left(-\frac{{\left(d - 2 i\right)} \tan\left(b x + a\right) - i \, d}{2 i \, d + 2}\right)\right)}}{d} + \frac{2 i \, {\left(\log\left(\frac{1}{2} \, {\left(d - 2 i\right)} \tan\left(b x + a\right) - \frac{1}{2} i \, d\right) \log\left(i \, \tan\left(b x + a\right) + 1\right) + {\rm Li}_2\left(-\frac{1}{2} \, {\left(d - 2 i\right)} \tan\left(b x + a\right) + \frac{1}{2} i \, d + 1\right)\right)}}{d} - \frac{2 i \, \log\left({\left(i \, d + 2\right)} \tan\left(b x + a\right) + d\right) \log\left(i \, \tan\left(b x + a\right) + 1\right) - i \, \log\left(i \, \tan\left(b x + a\right) + 1\right)^{2}}{d} - \frac{2 i \, {\left(\log\left(i \, \tan\left(b x + a\right) + 1\right) \log\left(-\frac{1}{2} i \, \tan\left(b x + a\right) + \frac{1}{2}\right) + {\rm Li}_2\left(\frac{1}{2} i \, \tan\left(b x + a\right) + \frac{1}{2}\right)\right)}}{d}\right)} - 8 \, {\left(b x + a\right)} \operatorname{artanh}\left(i \, d + \frac{d}{\tan\left(b x + a\right)} + 1\right)}{8 \, b}"," ",0,"-1/8*(4*(b*x + a)*d*(log((I*d + 2)*tan(b*x + a) + d)/d - log(I*tan(b*x + a) + 1)/d) - d*(2*I*(log((I*d + 2)*tan(b*x + a) + d)*log(((d - 2*I)*tan(b*x + a) - I*d)/(2*I*d + 2) + 1) + dilog(-((d - 2*I)*tan(b*x + a) - I*d)/(2*I*d + 2)))/d + 2*I*(log(1/2*(d - 2*I)*tan(b*x + a) - 1/2*I*d)*log(I*tan(b*x + a) + 1) + dilog(-1/2*(d - 2*I)*tan(b*x + a) + 1/2*I*d + 1))/d - (2*I*log((I*d + 2)*tan(b*x + a) + d)*log(I*tan(b*x + a) + 1) - I*log(I*tan(b*x + a) + 1)^2)/d - 2*I*(log(I*tan(b*x + a) + 1)*log(-1/2*I*tan(b*x + a) + 1/2) + dilog(1/2*I*tan(b*x + a) + 1/2))/d) - 8*(b*x + a)*arctanh(I*d + d/tan(b*x + a) + 1))/b","B",0
341,0,0,0,0.000000," ","integrate(arctanh(1+I*d+d*cot(b*x+a))/x,x, algorithm=""maxima"")","-i \, b x + \frac{1}{4} \, {\left(-i \, \pi - 4 i \, a - 2 \, \log\left(-d\right)\right)} \log\left(x\right) + \frac{1}{2} i \, \int \frac{\arctan\left(d \cos\left(2 \, b x + 2 \, a\right) + \sin\left(2 \, b x + 2 \, a\right), -d \sin\left(2 \, b x + 2 \, a\right) + \cos\left(2 \, b x + 2 \, a\right) - 1\right)}{x}\,{d x} + \frac{1}{4} \, \int \frac{\log\left({\left(d^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(d^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} + 2 \, d \sin\left(2 \, b x + 2 \, a\right) - 2 \, \cos\left(2 \, b x + 2 \, a\right) + 1\right)}{x}\,{d x}"," ",0,"-I*b*x + 1/4*(-I*pi - 4*I*a - 2*log(-d))*log(x) + 1/2*I*integrate(arctan2(d*cos(2*b*x + 2*a) + sin(2*b*x + 2*a), -d*sin(2*b*x + 2*a) + cos(2*b*x + 2*a) - 1)/x, x) + 1/4*integrate(log((d^2 + 1)*cos(2*b*x + 2*a)^2 + (d^2 + 1)*sin(2*b*x + 2*a)^2 + 2*d*sin(2*b*x + 2*a) - 2*cos(2*b*x + 2*a) + 1)/x, x)","F",0
342,1,343,0,0.380107," ","integrate(-x^2*arctanh(-1+I*d+d*cot(b*x+a)),x, algorithm=""maxima"")","-\frac{\frac{12 \, {\left({\left(b x + a\right)}^{3} - 3 \, {\left(b x + a\right)}^{2} a + 3 \, {\left(b x + a\right)} a^{2}\right)} \operatorname{artanh}\left(d \cot\left(b x + a\right) + i \, d - 1\right)}{b^{2}} + \frac{-3 i \, {\left(b x + a\right)}^{4} + 12 i \, {\left(b x + a\right)}^{3} a - 18 i \, {\left(b x + a\right)}^{2} a^{2} + {\left(-8 i \, {\left(b x + a\right)}^{3} + 18 i \, {\left(b x + a\right)}^{2} a - 18 i \, {\left(b x + a\right)} a^{2}\right)} \arctan\left(-d \cos\left(2 \, b x + 2 \, a\right) + \sin\left(2 \, b x + 2 \, a\right), -d \sin\left(2 \, b x + 2 \, a\right) - \cos\left(2 \, b x + 2 \, a\right) + 1\right) + {\left(-12 i \, {\left(b x + a\right)}^{2} + 18 i \, {\left(b x + a\right)} a - 9 i \, a^{2}\right)} {\rm Li}_2\left({\left(-i \, d + 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)}\right) + {\left(4 \, {\left(b x + a\right)}^{3} - 9 \, {\left(b x + a\right)}^{2} a + 9 \, {\left(b x + a\right)} a^{2}\right)} \log\left({\left(d^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(d^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} - 2 \, d \sin\left(2 \, b x + 2 \, a\right) - 2 \, \cos\left(2 \, b x + 2 \, a\right) + 1\right) + 3 \, {\left(4 \, b x + a\right)} {\rm Li}_{3}({\left(-i \, d + 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)}) + 6 i \, {\rm Li}_{4}({\left(-i \, d + 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)})}{b^{2}}}{36 \, b}"," ",0,"-1/36*(12*((b*x + a)^3 - 3*(b*x + a)^2*a + 3*(b*x + a)*a^2)*arctanh(d*cot(b*x + a) + I*d - 1)/b^2 + (-3*I*(b*x + a)^4 + 12*I*(b*x + a)^3*a - 18*I*(b*x + a)^2*a^2 + (-8*I*(b*x + a)^3 + 18*I*(b*x + a)^2*a - 18*I*(b*x + a)*a^2)*arctan2(-d*cos(2*b*x + 2*a) + sin(2*b*x + 2*a), -d*sin(2*b*x + 2*a) - cos(2*b*x + 2*a) + 1) + (-12*I*(b*x + a)^2 + 18*I*(b*x + a)*a - 9*I*a^2)*dilog((-I*d + 1)*e^(2*I*b*x + 2*I*a)) + (4*(b*x + a)^3 - 9*(b*x + a)^2*a + 9*(b*x + a)*a^2)*log((d^2 + 1)*cos(2*b*x + 2*a)^2 + (d^2 + 1)*sin(2*b*x + 2*a)^2 - 2*d*sin(2*b*x + 2*a) - 2*cos(2*b*x + 2*a) + 1) + 3*(4*b*x + a)*polylog(3, (-I*d + 1)*e^(2*I*b*x + 2*I*a)) + 6*I*polylog(4, (-I*d + 1)*e^(2*I*b*x + 2*I*a)))/b^2)/b","B",0
343,1,249,0,0.355711," ","integrate(-x*arctanh(-1+I*d+d*cot(b*x+a)),x, algorithm=""maxima"")","-\frac{\frac{12 \, {\left({\left(b x + a\right)}^{2} - 2 \, {\left(b x + a\right)} a\right)} \operatorname{artanh}\left(d \cot\left(b x + a\right) + i \, d - 1\right)}{b} + \frac{-4 i \, {\left(b x + a\right)}^{3} + 12 i \, {\left(b x + a\right)}^{2} a - 6 i \, b x {\rm Li}_2\left({\left(-i \, d + 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)}\right) + {\left(-6 i \, {\left(b x + a\right)}^{2} + 12 i \, {\left(b x + a\right)} a\right)} \arctan\left(-d \cos\left(2 \, b x + 2 \, a\right) + \sin\left(2 \, b x + 2 \, a\right), -d \sin\left(2 \, b x + 2 \, a\right) - \cos\left(2 \, b x + 2 \, a\right) + 1\right) + 3 \, {\left({\left(b x + a\right)}^{2} - 2 \, {\left(b x + a\right)} a\right)} \log\left({\left(d^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(d^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} - 2 \, d \sin\left(2 \, b x + 2 \, a\right) - 2 \, \cos\left(2 \, b x + 2 \, a\right) + 1\right) + 3 \, {\rm Li}_{3}({\left(-i \, d + 1\right)} e^{\left(2 i \, b x + 2 i \, a\right)})}{b}}{24 \, b}"," ",0,"-1/24*(12*((b*x + a)^2 - 2*(b*x + a)*a)*arctanh(d*cot(b*x + a) + I*d - 1)/b + (-4*I*(b*x + a)^3 + 12*I*(b*x + a)^2*a - 6*I*b*x*dilog((-I*d + 1)*e^(2*I*b*x + 2*I*a)) + (-6*I*(b*x + a)^2 + 12*I*(b*x + a)*a)*arctan2(-d*cos(2*b*x + 2*a) + sin(2*b*x + 2*a), -d*sin(2*b*x + 2*a) - cos(2*b*x + 2*a) + 1) + 3*((b*x + a)^2 - 2*(b*x + a)*a)*log((d^2 + 1)*cos(2*b*x + 2*a)^2 + (d^2 + 1)*sin(2*b*x + 2*a)^2 - 2*d*sin(2*b*x + 2*a) - 2*cos(2*b*x + 2*a) + 1) + 3*polylog(3, (-I*d + 1)*e^(2*I*b*x + 2*I*a)))/b)/b","B",0
344,1,286,0,0.429029," ","integrate(-arctanh(-1+I*d+d*cot(b*x+a)),x, algorithm=""maxima"")","-\frac{4 \, {\left(b x + a\right)} d {\left(\frac{\log\left({\left(i \, d - 2\right)} \tan\left(b x + a\right) + d\right)}{d} - \frac{\log\left(i \, \tan\left(b x + a\right) + 1\right)}{d}\right)} + d {\left(-\frac{2 i \, {\left(\log\left({\left(i \, d - 2\right)} \tan\left(b x + a\right) + d\right) \log\left(\frac{{\left(d + 2 i\right)} \tan\left(b x + a\right) - i \, d}{2 i \, d - 2} + 1\right) + {\rm Li}_2\left(-\frac{{\left(d + 2 i\right)} \tan\left(b x + a\right) - i \, d}{2 i \, d - 2}\right)\right)}}{d} - \frac{2 i \, {\left(\log\left(-\frac{1}{2} \, {\left(d + 2 i\right)} \tan\left(b x + a\right) + \frac{1}{2} i \, d\right) \log\left(i \, \tan\left(b x + a\right) + 1\right) + {\rm Li}_2\left(\frac{1}{2} \, {\left(d + 2 i\right)} \tan\left(b x + a\right) - \frac{1}{2} i \, d + 1\right)\right)}}{d} + \frac{2 i \, \log\left({\left(i \, d - 2\right)} \tan\left(b x + a\right) + d\right) \log\left(i \, \tan\left(b x + a\right) + 1\right) - i \, \log\left(i \, \tan\left(b x + a\right) + 1\right)^{2}}{d} + \frac{2 i \, {\left(\log\left(i \, \tan\left(b x + a\right) + 1\right) \log\left(-\frac{1}{2} i \, \tan\left(b x + a\right) + \frac{1}{2}\right) + {\rm Li}_2\left(\frac{1}{2} i \, \tan\left(b x + a\right) + \frac{1}{2}\right)\right)}}{d}\right)} + 8 \, {\left(b x + a\right)} \operatorname{artanh}\left(i \, d + \frac{d}{\tan\left(b x + a\right)} - 1\right)}{8 \, b}"," ",0,"-1/8*(4*(b*x + a)*d*(log((I*d - 2)*tan(b*x + a) + d)/d - log(I*tan(b*x + a) + 1)/d) + d*(-2*I*(log((I*d - 2)*tan(b*x + a) + d)*log(((d + 2*I)*tan(b*x + a) - I*d)/(2*I*d - 2) + 1) + dilog(-((d + 2*I)*tan(b*x + a) - I*d)/(2*I*d - 2)))/d - 2*I*(log(-1/2*(d + 2*I)*tan(b*x + a) + 1/2*I*d)*log(I*tan(b*x + a) + 1) + dilog(1/2*(d + 2*I)*tan(b*x + a) - 1/2*I*d + 1))/d + (2*I*log((I*d - 2)*tan(b*x + a) + d)*log(I*tan(b*x + a) + 1) - I*log(I*tan(b*x + a) + 1)^2)/d + 2*I*(log(I*tan(b*x + a) + 1)*log(-1/2*I*tan(b*x + a) + 1/2) + dilog(1/2*I*tan(b*x + a) + 1/2))/d) + 8*(b*x + a)*arctanh(I*d + d/tan(b*x + a) - 1))/b","B",0
345,0,0,0,0.000000," ","integrate(-arctanh(-1+I*d+d*cot(b*x+a))/x,x, algorithm=""maxima"")","-i \, b x + \frac{1}{4} \, {\left(i \, \pi - 4 i \, a - 2 \, \log\left(d\right)\right)} \log\left(x\right) - \frac{1}{2} i \, \int \frac{\arctan\left(-d \cos\left(2 \, b x + 2 \, a\right) + \sin\left(2 \, b x + 2 \, a\right), -d \sin\left(2 \, b x + 2 \, a\right) - \cos\left(2 \, b x + 2 \, a\right) + 1\right)}{x}\,{d x} + \frac{1}{4} \, \int \frac{\log\left({\left(d^{2} + 1\right)} \cos\left(2 \, b x + 2 \, a\right)^{2} + {\left(d^{2} + 1\right)} \sin\left(2 \, b x + 2 \, a\right)^{2} - 2 \, d \sin\left(2 \, b x + 2 \, a\right) - 2 \, \cos\left(2 \, b x + 2 \, a\right) + 1\right)}{x}\,{d x}"," ",0,"-I*b*x + 1/4*(I*pi - 4*I*a - 2*log(d))*log(x) - 1/2*I*integrate(arctan2(-d*cos(2*b*x + 2*a) + sin(2*b*x + 2*a), -d*sin(2*b*x + 2*a) - cos(2*b*x + 2*a) + 1)/x, x) + 1/4*integrate(log((d^2 + 1)*cos(2*b*x + 2*a)^2 + (d^2 + 1)*sin(2*b*x + 2*a)^2 - 2*d*sin(2*b*x + 2*a) - 2*cos(2*b*x + 2*a) + 1)/x, x)","F",0
346,1,58,0,0.314591," ","integrate(arctanh(exp(x)),x, algorithm=""maxima"")","-\frac{1}{2} \, x {\left(\log\left(e^{x} + 1\right) - \log\left(e^{x} - 1\right)\right)} + x \operatorname{artanh}\left(e^{x}\right) + \frac{1}{2} \, \log\left(-e^{x}\right) \log\left(e^{x} + 1\right) - \frac{1}{2} \, x \log\left(e^{x} - 1\right) + \frac{1}{2} \, {\rm Li}_2\left(e^{x} + 1\right) - \frac{1}{2} \, {\rm Li}_2\left(-e^{x} + 1\right)"," ",0,"-1/2*x*(log(e^x + 1) - log(e^x - 1)) + x*arctanh(e^x) + 1/2*log(-e^x)*log(e^x + 1) - 1/2*x*log(e^x - 1) + 1/2*dilog(e^x + 1) - 1/2*dilog(-e^x + 1)","B",0
347,1,59,0,0.312546," ","integrate(x*arctanh(exp(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \operatorname{artanh}\left(e^{x}\right) - \frac{1}{4} \, x^{2} \log\left(e^{x} + 1\right) + \frac{1}{4} \, x^{2} \log\left(-e^{x} + 1\right) - \frac{1}{2} \, x {\rm Li}_2\left(-e^{x}\right) + \frac{1}{2} \, x {\rm Li}_2\left(e^{x}\right) + \frac{1}{2} \, {\rm Li}_{3}(-e^{x}) - \frac{1}{2} \, {\rm Li}_{3}(e^{x})"," ",0,"1/2*x^2*arctanh(e^x) - 1/4*x^2*log(e^x + 1) + 1/4*x^2*log(-e^x + 1) - 1/2*x*dilog(-e^x) + 1/2*x*dilog(e^x) + 1/2*polylog(3, -e^x) - 1/2*polylog(3, e^x)","B",0
348,1,76,0,0.311873," ","integrate(x^2*arctanh(exp(x)),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \operatorname{artanh}\left(e^{x}\right) - \frac{1}{6} \, x^{3} \log\left(e^{x} + 1\right) + \frac{1}{6} \, x^{3} \log\left(-e^{x} + 1\right) - \frac{1}{2} \, x^{2} {\rm Li}_2\left(-e^{x}\right) + \frac{1}{2} \, x^{2} {\rm Li}_2\left(e^{x}\right) + x {\rm Li}_{3}(-e^{x}) - x {\rm Li}_{3}(e^{x}) - {\rm Li}_{4}(-e^{x}) + {\rm Li}_{4}(e^{x})"," ",0,"1/3*x^3*arctanh(e^x) - 1/6*x^3*log(e^x + 1) + 1/6*x^3*log(-e^x + 1) - 1/2*x^2*dilog(-e^x) + 1/2*x^2*dilog(e^x) + x*polylog(3, -e^x) - x*polylog(3, e^x) - polylog(4, -e^x) + polylog(4, e^x)","A",0
349,1,107,0,0.309495," ","integrate(arctanh(exp(b*x+a)),x, algorithm=""maxima"")","\frac{{\left(b x + a\right)} \operatorname{artanh}\left(e^{\left(b x + a\right)}\right)}{b} - \frac{{\left(b x + a\right)} {\left(\log\left(e^{\left(b x + a\right)} + 1\right) - \log\left(e^{\left(b x + a\right)} - 1\right)\right)} - \log\left(-e^{\left(b x + a\right)}\right) \log\left(e^{\left(b x + a\right)} + 1\right) + {\left(b x + a\right)} \log\left(e^{\left(b x + a\right)} - 1\right) - {\rm Li}_2\left(e^{\left(b x + a\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(b x + a\right)} + 1\right)}{2 \, b}"," ",0,"(b*x + a)*arctanh(e^(b*x + a))/b - 1/2*((b*x + a)*(log(e^(b*x + a) + 1) - log(e^(b*x + a) - 1)) - log(-e^(b*x + a))*log(e^(b*x + a) + 1) + (b*x + a)*log(e^(b*x + a) - 1) - dilog(e^(b*x + a) + 1) + dilog(-e^(b*x + a) + 1))/b","B",0
350,1,108,0,0.331878," ","integrate(x*arctanh(exp(b*x+a)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \operatorname{artanh}\left(e^{\left(b x + a\right)}\right) - \frac{1}{4} \, b {\left(\frac{b^{2} x^{2} \log\left(e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(b x + a\right)})}{b^{3}} - \frac{b^{2} x^{2} \log\left(-e^{\left(b x + a\right)} + 1\right) + 2 \, b x {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(b x + a\right)})}{b^{3}}\right)}"," ",0,"1/2*x^2*arctanh(e^(b*x + a)) - 1/4*b*((b^2*x^2*log(e^(b*x + a) + 1) + 2*b*x*dilog(-e^(b*x + a)) - 2*polylog(3, -e^(b*x + a)))/b^3 - (b^2*x^2*log(-e^(b*x + a) + 1) + 2*b*x*dilog(e^(b*x + a)) - 2*polylog(3, e^(b*x + a)))/b^3)","A",0
351,1,142,0,0.325872," ","integrate(x^2*arctanh(exp(b*x+a)),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \operatorname{artanh}\left(e^{\left(b x + a\right)}\right) - \frac{1}{6} \, b {\left(\frac{b^{3} x^{3} \log\left(e^{\left(b x + a\right)} + 1\right) + 3 \, b^{2} x^{2} {\rm Li}_2\left(-e^{\left(b x + a\right)}\right) - 6 \, b x {\rm Li}_{3}(-e^{\left(b x + a\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(b x + a\right)})}{b^{4}} - \frac{b^{3} x^{3} \log\left(-e^{\left(b x + a\right)} + 1\right) + 3 \, b^{2} x^{2} {\rm Li}_2\left(e^{\left(b x + a\right)}\right) - 6 \, b x {\rm Li}_{3}(e^{\left(b x + a\right)}) + 6 \, {\rm Li}_{4}(e^{\left(b x + a\right)})}{b^{4}}\right)}"," ",0,"1/3*x^3*arctanh(e^(b*x + a)) - 1/6*b*((b^3*x^3*log(e^(b*x + a) + 1) + 3*b^2*x^2*dilog(-e^(b*x + a)) - 6*b*x*polylog(3, -e^(b*x + a)) + 6*polylog(4, -e^(b*x + a)))/b^4 - (b^3*x^3*log(-e^(b*x + a) + 1) + 3*b^2*x^2*dilog(e^(b*x + a)) - 6*b*x*polylog(3, e^(b*x + a)) + 6*polylog(4, e^(b*x + a)))/b^4)","A",0
352,1,202,0,0.325346," ","integrate(arctanh(a+b*f^(d*x+c)),x, algorithm=""maxima"")","\frac{{\left(d x + c\right)} \operatorname{artanh}\left(b f^{d x + c} + a\right)}{d} - \frac{{\left(d x + c\right)} b {\left(\frac{\log\left(b f^{d x + c} + a + 1\right)}{b} - \frac{\log\left(b f^{d x + c} + a - 1\right)}{b}\right)} \log\left(f\right) - b {\left(\frac{\log\left(b f^{d x + c} + a + 1\right) \log\left(-\frac{b f^{d x + c} + a + 1}{a + 1} + 1\right) + {\rm Li}_2\left(\frac{b f^{d x + c} + a + 1}{a + 1}\right)}{b} - \frac{\log\left(b f^{d x + c} + a - 1\right) \log\left(-\frac{b f^{d x + c} + a - 1}{a - 1} + 1\right) + {\rm Li}_2\left(\frac{b f^{d x + c} + a - 1}{a - 1}\right)}{b}\right)}}{2 \, d \log\left(f\right)}"," ",0,"(d*x + c)*arctanh(b*f^(d*x + c) + a)/d - 1/2*((d*x + c)*b*(log(b*f^(d*x + c) + a + 1)/b - log(b*f^(d*x + c) + a - 1)/b)*log(f) - b*((log(b*f^(d*x + c) + a + 1)*log(-(b*f^(d*x + c) + a + 1)/(a + 1) + 1) + dilog((b*f^(d*x + c) + a + 1)/(a + 1)))/b - (log(b*f^(d*x + c) + a - 1)*log(-(b*f^(d*x + c) + a - 1)/(a - 1) + 1) + dilog((b*f^(d*x + c) + a - 1)/(a - 1)))/b))/(d*log(f))","A",0
353,1,194,0,0.360944," ","integrate(x*arctanh(a+b*f^(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{4} \, b d {\left(\frac{d^{2} x^{2} \log\left(\frac{b f^{d x} f^{c}}{a + 1} + 1\right) \log\left(f\right)^{2} + 2 \, d x {\rm Li}_2\left(-\frac{b f^{d x} f^{c}}{a + 1}\right) \log\left(f\right) - 2 \, {\rm Li}_{3}(-\frac{b f^{d x} f^{c}}{a + 1})}{b d^{3} \log\left(f\right)^{3}} - \frac{d^{2} x^{2} \log\left(\frac{b f^{d x} f^{c}}{a - 1} + 1\right) \log\left(f\right)^{2} + 2 \, d x {\rm Li}_2\left(-\frac{b f^{d x} f^{c}}{a - 1}\right) \log\left(f\right) - 2 \, {\rm Li}_{3}(-\frac{b f^{d x} f^{c}}{a - 1})}{b d^{3} \log\left(f\right)^{3}}\right)} \log\left(f\right) + \frac{1}{2} \, x^{2} \operatorname{artanh}\left(b f^{d x + c} + a\right)"," ",0,"-1/4*b*d*((d^2*x^2*log(b*f^(d*x)*f^c/(a + 1) + 1)*log(f)^2 + 2*d*x*dilog(-b*f^(d*x)*f^c/(a + 1))*log(f) - 2*polylog(3, -b*f^(d*x)*f^c/(a + 1)))/(b*d^3*log(f)^3) - (d^2*x^2*log(b*f^(d*x)*f^c/(a - 1) + 1)*log(f)^2 + 2*d*x*dilog(-b*f^(d*x)*f^c/(a - 1))*log(f) - 2*polylog(3, -b*f^(d*x)*f^c/(a - 1)))/(b*d^3*log(f)^3))*log(f) + 1/2*x^2*arctanh(b*f^(d*x + c) + a)","A",0
354,1,254,0,0.366153," ","integrate(x^2*arctanh(a+b*f^(d*x+c)),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \operatorname{artanh}\left(b f^{d x + c} + a\right) - \frac{1}{6} \, b d {\left(\frac{d^{3} x^{3} \log\left(\frac{b f^{d x} f^{c}}{a + 1} + 1\right) \log\left(f\right)^{3} + 3 \, d^{2} x^{2} {\rm Li}_2\left(-\frac{b f^{d x} f^{c}}{a + 1}\right) \log\left(f\right)^{2} - 6 \, d x \log\left(f\right) {\rm Li}_{3}(-\frac{b f^{d x} f^{c}}{a + 1}) + 6 \, {\rm Li}_{4}(-\frac{b f^{d x} f^{c}}{a + 1})}{b d^{4} \log\left(f\right)^{4}} - \frac{d^{3} x^{3} \log\left(\frac{b f^{d x} f^{c}}{a - 1} + 1\right) \log\left(f\right)^{3} + 3 \, d^{2} x^{2} {\rm Li}_2\left(-\frac{b f^{d x} f^{c}}{a - 1}\right) \log\left(f\right)^{2} - 6 \, d x \log\left(f\right) {\rm Li}_{3}(-\frac{b f^{d x} f^{c}}{a - 1}) + 6 \, {\rm Li}_{4}(-\frac{b f^{d x} f^{c}}{a - 1})}{b d^{4} \log\left(f\right)^{4}}\right)} \log\left(f\right)"," ",0,"1/3*x^3*arctanh(b*f^(d*x + c) + a) - 1/6*b*d*((d^3*x^3*log(b*f^(d*x)*f^c/(a + 1) + 1)*log(f)^3 + 3*d^2*x^2*dilog(-b*f^(d*x)*f^c/(a + 1))*log(f)^2 - 6*d*x*log(f)*polylog(3, -b*f^(d*x)*f^c/(a + 1)) + 6*polylog(4, -b*f^(d*x)*f^c/(a + 1)))/(b*d^4*log(f)^4) - (d^3*x^3*log(b*f^(d*x)*f^c/(a - 1) + 1)*log(f)^3 + 3*d^2*x^2*dilog(-b*f^(d*x)*f^c/(a - 1))*log(f)^2 - 6*d*x*log(f)*polylog(3, -b*f^(d*x)*f^c/(a - 1)) + 6*polylog(4, -b*f^(d*x)*f^c/(a - 1)))/(b*d^4*log(f)^4))*log(f)","A",0
355,1,184,0,0.420892," ","integrate(exp(c*(b*x+a))*arctanh(sinh(b*c*x+a*c)),x, algorithm=""maxima"")","\frac{\operatorname{artanh}\left(\sinh\left(b c x + a c\right)\right) e^{\left({\left(b x + a\right)} c\right)}}{b c} + \frac{\sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(b c x + a c\right)} + 1}{\sqrt{2} + e^{\left(b c x + a c\right)} - 1}\right)}{2 \, b c} - \frac{\sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(b c x + a c\right)} - 1}{\sqrt{2} + e^{\left(b c x + a c\right)} + 1}\right)}{2 \, b c} + \frac{\log\left(e^{\left(2 \, b c x + 2 \, a c\right)} + 2 \, e^{\left(b c x + a c\right)} - 1\right)}{2 \, b c} + \frac{\log\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 2 \, e^{\left(b c x + a c\right)} - 1\right)}{2 \, b c}"," ",0,"arctanh(sinh(b*c*x + a*c))*e^((b*x + a)*c)/(b*c) + 1/2*sqrt(2)*log(-(sqrt(2) - e^(b*c*x + a*c) + 1)/(sqrt(2) + e^(b*c*x + a*c) - 1))/(b*c) - 1/2*sqrt(2)*log(-(sqrt(2) - e^(b*c*x + a*c) - 1)/(sqrt(2) + e^(b*c*x + a*c) + 1))/(b*c) + 1/2*log(e^(2*b*c*x + 2*a*c) + 2*e^(b*c*x + a*c) - 1)/(b*c) + 1/2*log(e^(2*b*c*x + 2*a*c) - 2*e^(b*c*x + a*c) - 1)/(b*c)","B",0
356,1,64,0,0.327716," ","integrate(exp(c*(b*x+a))*arctanh(cosh(b*c*x+a*c)),x, algorithm=""maxima"")","\frac{\operatorname{artanh}\left(\cosh\left(b c x + a c\right)\right) e^{\left({\left(b x + a\right)} c\right)}}{b c} + \frac{\log\left(e^{\left(b c x + a c\right)} + 1\right)}{b c} + \frac{\log\left(e^{\left(b c x + a c\right)} - 1\right)}{b c}"," ",0,"arctanh(cosh(b*c*x + a*c))*e^((b*x + a)*c)/(b*c) + log(e^(b*c*x + a*c) + 1)/(b*c) + log(e^(b*c*x + a*c) - 1)/(b*c)","A",0
357,1,43,0,0.328178," ","integrate(exp(c*(b*x+a))*arctanh(tanh(b*c*x+a*c)),x, algorithm=""maxima"")","\frac{\operatorname{artanh}\left(\tanh\left(b c x + a c\right)\right) e^{\left({\left(b x + a\right)} c\right)}}{b c} - \frac{e^{\left(b c x + a c\right)}}{b c}"," ",0,"arctanh(tanh(b*c*x + a*c))*e^((b*x + a)*c)/(b*c) - e^(b*c*x + a*c)/(b*c)","A",0
358,1,43,0,0.328494," ","integrate(exp(c*(b*x+a))*arctanh(coth(b*c*x+a*c)),x, algorithm=""maxima"")","\frac{\operatorname{artanh}\left(\coth\left(b c x + a c\right)\right) e^{\left({\left(b x + a\right)} c\right)}}{b c} - \frac{e^{\left(b c x + a c\right)}}{b c}"," ",0,"arctanh(coth(b*c*x + a*c))*e^((b*x + a)*c)/(b*c) - e^(b*c*x + a*c)/(b*c)","A",0
359,1,64,0,0.328148," ","integrate(exp(c*(b*x+a))*arctanh(sech(b*c*x+a*c)),x, algorithm=""maxima"")","\frac{\operatorname{artanh}\left(\operatorname{sech}\left(b c x + a c\right)\right) e^{\left({\left(b x + a\right)} c\right)}}{b c} + \frac{\log\left(e^{\left(b c x + a c\right)} + 1\right)}{b c} + \frac{\log\left(e^{\left(b c x + a c\right)} - 1\right)}{b c}"," ",0,"arctanh(sech(b*c*x + a*c))*e^((b*x + a)*c)/(b*c) + log(e^(b*c*x + a*c) + 1)/(b*c) + log(e^(b*c*x + a*c) - 1)/(b*c)","A",0
360,1,184,0,0.417081," ","integrate(exp(c*(b*x+a))*arctanh(csch(b*c*x+a*c)),x, algorithm=""maxima"")","\frac{\operatorname{artanh}\left(\operatorname{csch}\left(b c x + a c\right)\right) e^{\left({\left(b x + a\right)} c\right)}}{b c} + \frac{\sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(b c x + a c\right)} + 1}{\sqrt{2} + e^{\left(b c x + a c\right)} - 1}\right)}{2 \, b c} - \frac{\sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(b c x + a c\right)} - 1}{\sqrt{2} + e^{\left(b c x + a c\right)} + 1}\right)}{2 \, b c} + \frac{\log\left(e^{\left(2 \, b c x + 2 \, a c\right)} + 2 \, e^{\left(b c x + a c\right)} - 1\right)}{2 \, b c} + \frac{\log\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 2 \, e^{\left(b c x + a c\right)} - 1\right)}{2 \, b c}"," ",0,"arctanh(csch(b*c*x + a*c))*e^((b*x + a)*c)/(b*c) + 1/2*sqrt(2)*log(-(sqrt(2) - e^(b*c*x + a*c) + 1)/(sqrt(2) + e^(b*c*x + a*c) - 1))/(b*c) - 1/2*sqrt(2)*log(-(sqrt(2) - e^(b*c*x + a*c) - 1)/(sqrt(2) + e^(b*c*x + a*c) + 1))/(b*c) + 1/2*log(e^(2*b*c*x + 2*a*c) + 2*e^(b*c*x + a*c) - 1)/(b*c) + 1/2*log(e^(2*b*c*x + 2*a*c) - 2*e^(b*c*x + a*c) - 1)/(b*c)","B",0
361,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x^n))*(d+e*log(f*x^m))/x,x, algorithm=""maxima"")","\frac{a e \log\left(f x^{m}\right)^{2}}{2 \, m} + a d \log\left(x\right) - \frac{1}{4} \, {\left(b e m \log\left(x\right)^{2} - 2 \, b e \log\left(x\right) \log\left(x^{m}\right) - 2 \, {\left(e \log\left(f\right) + d\right)} b \log\left(x\right)\right)} \log\left(c x^{n} + 1\right) + \frac{1}{4} \, {\left(b e m \log\left(x\right)^{2} - 2 \, b e \log\left(x\right) \log\left(x^{m}\right) - 2 \, {\left(e \log\left(f\right) + d\right)} b \log\left(x\right)\right)} \log\left(-c x^{n} + 1\right) + \int \frac{2 \, b c e n x^{n} \log\left(x\right) \log\left(x^{m}\right) - {\left(b c e m n \log\left(x\right)^{2} - 2 \, {\left(e n \log\left(f\right) + d n\right)} b c \log\left(x\right)\right)} x^{n}}{2 \, {\left(c^{2} x x^{2 \, n} - x\right)}}\,{d x}"," ",0,"1/2*a*e*log(f*x^m)^2/m + a*d*log(x) - 1/4*(b*e*m*log(x)^2 - 2*b*e*log(x)*log(x^m) - 2*(e*log(f) + d)*b*log(x))*log(c*x^n + 1) + 1/4*(b*e*m*log(x)^2 - 2*b*e*log(x)*log(x^m) - 2*(e*log(f) + d)*b*log(x))*log(-c*x^n + 1) + integrate(1/2*(2*b*c*e*n*x^n*log(x)*log(x^m) - (b*c*e*m*n*log(x)^2 - 2*(e*n*log(f) + d*n)*b*c*log(x))*x^n)/(c^2*x*x^(2*n) - x), x)","F",0
