1,-2,0,0,0.000000," ","integrate(x^5*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
2,-2,0,0,0.000000," ","integrate(x^3*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
3,-2,0,0,0.000000," ","integrate(x*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to transpose Error: Bad Argument Value","F(-2)",0
4,0,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x,x, algorithm=""giac"")","\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
5,1,71,0,0.283488," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^3,x, algorithm=""giac"")","\frac{e}{{\left(x e^{\frac{1}{2}} - \sqrt{x^{2} e + d}\right)}^{2} - d} - \frac{\log\left(-\frac{\frac{x e^{\frac{1}{2}}}{\sqrt{x^{2} e + d}} + 1}{\frac{x e^{\frac{1}{2}}}{\sqrt{x^{2} e + d}} - 1}\right)}{4 \, x^{2}}"," ",0,"e/((x*e^(1/2) - sqrt(x^2*e + d))^2 - d) - 1/4*log(-(x*e^(1/2)/sqrt(x^2*e + d) + 1)/(x*e^(1/2)/sqrt(x^2*e + d) - 1))/x^2","A",0
6,1,107,0,0.387744," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^5,x, algorithm=""giac"")","\frac{{\left(3 \, {\left(x e^{\frac{1}{2}} - \sqrt{x^{2} e + d}\right)}^{2} d e - d^{2} e\right)} e}{3 \, {\left({\left(x e^{\frac{1}{2}} - \sqrt{x^{2} e + d}\right)}^{2} - d\right)}^{3} d} - \frac{\log\left(-\frac{\frac{x e^{\frac{1}{2}}}{\sqrt{x^{2} e + d}} + 1}{\frac{x e^{\frac{1}{2}}}{\sqrt{x^{2} e + d}} - 1}\right)}{8 \, x^{4}}"," ",0,"1/3*(3*(x*e^(1/2) - sqrt(x^2*e + d))^2*d*e - d^2*e)*e/(((x*e^(1/2) - sqrt(x^2*e + d))^2 - d)^3*d) - 1/8*log(-(x*e^(1/2)/sqrt(x^2*e + d) + 1)/(x*e^(1/2)/sqrt(x^2*e + d) - 1))/x^4","A",0
7,1,134,0,0.447191," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^7,x, algorithm=""giac"")","\frac{8 \, {\left(10 \, {\left(x e^{\frac{1}{2}} - \sqrt{x^{2} e + d}\right)}^{4} d^{2} e^{2} - 5 \, {\left(x e^{\frac{1}{2}} - \sqrt{x^{2} e + d}\right)}^{2} d^{3} e^{2} + d^{4} e^{2}\right)} e}{45 \, {\left({\left(x e^{\frac{1}{2}} - \sqrt{x^{2} e + d}\right)}^{2} - d\right)}^{5} d^{2}} - \frac{\log\left(-\frac{\frac{x e^{\frac{1}{2}}}{\sqrt{x^{2} e + d}} + 1}{\frac{x e^{\frac{1}{2}}}{\sqrt{x^{2} e + d}} - 1}\right)}{12 \, x^{6}}"," ",0,"8/45*(10*(x*e^(1/2) - sqrt(x^2*e + d))^4*d^2*e^2 - 5*(x*e^(1/2) - sqrt(x^2*e + d))^2*d^3*e^2 + d^4*e^2)*e/(((x*e^(1/2) - sqrt(x^2*e + d))^2 - d)^5*d^2) - 1/12*log(-(x*e^(1/2)/sqrt(x^2*e + d) + 1)/(x*e^(1/2)/sqrt(x^2*e + d) - 1))/x^6","A",0
8,1,161,0,1.387606," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^9,x, algorithm=""giac"")","-\frac{\log\left(-\frac{\frac{x e^{\frac{1}{2}}}{\sqrt{x^{2} e + d}} + 1}{\frac{x e^{\frac{1}{2}}}{\sqrt{x^{2} e + d}} - 1}\right)}{16 \, x^{8}} + \frac{4 \, {\left(35 \, {\left(x e^{\frac{1}{2}} - \sqrt{x^{2} e + d}\right)}^{6} d^{3} e^{3} - 21 \, {\left(x e^{\frac{1}{2}} - \sqrt{x^{2} e + d}\right)}^{4} d^{4} e^{3} + 7 \, {\left(x e^{\frac{1}{2}} - \sqrt{x^{2} e + d}\right)}^{2} d^{5} e^{3} - d^{6} e^{3}\right)} e}{35 \, {\left({\left(x e^{\frac{1}{2}} - \sqrt{x^{2} e + d}\right)}^{2} - d\right)}^{7} d^{3}}"," ",0,"-1/16*log(-(x*e^(1/2)/sqrt(x^2*e + d) + 1)/(x*e^(1/2)/sqrt(x^2*e + d) - 1))/x^8 + 4/35*(35*(x*e^(1/2) - sqrt(x^2*e + d))^6*d^3*e^3 - 21*(x*e^(1/2) - sqrt(x^2*e + d))^4*d^4*e^3 + 7*(x*e^(1/2) - sqrt(x^2*e + d))^2*d^5*e^3 - d^6*e^3)*e/(((x*e^(1/2) - sqrt(x^2*e + d))^2 - d)^7*d^3)","A",0
9,-2,0,0,0.000000," ","integrate(x^6*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/2*(x^7/7*ln((1+(sqrt(exp(1)*x^2+d))^-1*exp(1/2)*x)/(1-(sqrt(exp(1)*x^2+d))^-1*exp(1/2)*x))-2*d*exp(1/2)*((2401/5*sqrt(d+x^2*exp(1))*(d+x^2*exp(1))^2*exp(1)^16-9604/5*sqrt(d+x^2*exp(1))*(d+x^2*exp(1))^2*exp(1)^15*exp(1/2)^2+14406/5*sqrt(d+x^2*exp(1))*(d+x^2*exp(1))^2*exp(1)^14*exp(1/2)^4-9604/5*sqrt(d+x^2*exp(1))*(d+x^2*exp(1))^2*exp(1)^13*exp(1/2)^6+2401/5*sqrt(d+x^2*exp(1))*(d+x^2*exp(1))^2*exp(1)^12*exp(1/2)^8-2401*sqrt(d+x^2*exp(1))*(d+x^2*exp(1))*d*exp(1)^16+26411/3*sqrt(d+x^2*exp(1))*(d+x^2*exp(1))*d*exp(1)^15*exp(1/2)^2-12005*sqrt(d+x^2*exp(1))*(d+x^2*exp(1))*d*exp(1)^14*exp(1/2)^4+7203*sqrt(d+x^2*exp(1))*(d+x^2*exp(1))*d*exp(1)^13*exp(1/2)^6-4802/3*sqrt(d+x^2*exp(1))*(d+x^2*exp(1))*d*exp(1)^12*exp(1/2)^8+7203*sqrt(d+x^2*exp(1))*d^2*exp(1)^16-21609*sqrt(d+x^2*exp(1))*d^2*exp(1)^15*exp(1/2)^2+24010*sqrt(d+x^2*exp(1))*d^2*exp(1)^14*exp(1/2)^4-12005*sqrt(d+x^2*exp(1))*d^2*exp(1)^13*exp(1/2)^6+2401*sqrt(d+x^2*exp(1))*d^2*exp(1)^12*exp(1/2)^8)/(16807*exp(1)^20-84035*exp(1)^19*exp(1/2)^2+168070*exp(1)^18*exp(1/2)^4-168070*exp(1)^17*exp(1/2)^6+84035*exp(1)^16*exp(1/2)^8-16807*exp(1)^15*exp(1/2)^10)-2*d^3/2/(7*exp(1)^3-21*exp(1)^2*exp(1/2)^2+21*exp(1)*exp(1/2)^4-7*exp(1/2)^6)/sqrt(-d*exp(1/2)^2+d*exp(1))/exp(1/2)*atan((sqrt(d+x^2*exp(1))*exp(1)-sqrt(d+x^2*exp(1))*exp(1/2)^2)/sqrt(-d*exp(1/2)^2+d*exp(1))/exp(1/2))))","F(-2)",0
10,-2,0,0,0.000000," ","integrate(x^4*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/2*(x^5/5*ln((1+(sqrt(exp(1)*x^2+d))^-1*exp(1/2)*x)/(1-(sqrt(exp(1)*x^2+d))^-1*exp(1/2)*x))-2*d*exp(1/2)*((25/3*sqrt(d+x^2*exp(1))*(d+x^2*exp(1))*exp(1)^6-50/3*sqrt(d+x^2*exp(1))*(d+x^2*exp(1))*exp(1)^5*exp(1/2)^2+25/3*sqrt(d+x^2*exp(1))*(d+x^2*exp(1))*exp(1)^4*exp(1/2)^4-50*sqrt(d+x^2*exp(1))*d*exp(1)^6+75*sqrt(d+x^2*exp(1))*d*exp(1)^5*exp(1/2)^2-25*sqrt(d+x^2*exp(1))*d*exp(1)^4*exp(1/2)^4)/(125*exp(1)^9-375*exp(1)^8*exp(1/2)^2+375*exp(1)^7*exp(1/2)^4-125*exp(1)^6*exp(1/2)^6)+2*d^2/2/(5*exp(1)^2-10*exp(1)*exp(1/2)^2+5*exp(1/2)^4)/sqrt(-d*exp(1/2)^2+d*exp(1))/exp(1/2)*atan((sqrt(d+x^2*exp(1))*exp(1)-sqrt(d+x^2*exp(1))*exp(1/2)^2)/sqrt(-d*exp(1/2)^2+d*exp(1))/exp(1/2))))","F(-2)",0
11,-2,0,0,0.000000," ","integrate(x^2*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/2*(x^3/3*ln((1+(sqrt(exp(1)*x^2+d))^-1*exp(1/2)*x)/(1-(sqrt(exp(1)*x^2+d))^-1*exp(1/2)*x))-2*d*exp(1/2)/exp(1)*(sqrt(d+x^2*exp(1))/(3*exp(1)-3*exp(1/2)^2)-2*d*exp(1)/2/(3*exp(1)-3*exp(1/2)^2)/sqrt(-d*exp(1/2)^2+d*exp(1))/exp(1/2)*atan((sqrt(d+x^2*exp(1))*exp(1)-sqrt(d+x^2*exp(1))*exp(1/2)^2)/sqrt(-d*exp(1/2)^2+d*exp(1))/exp(1/2))))","F(-2)",0
12,-2,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/2*(x*ln((1+(sqrt(exp(1)*x^2+d))^-1*exp(1/2)*x)/(1-(sqrt(exp(1)*x^2+d))^-1*exp(1/2)*x))-2*d*exp(1/2)/sqrt(-d*exp(1/2)^2+d*exp(1))/exp(1/2)*atan((sqrt(d+x^2*exp(1))*exp(1)-sqrt(d+x^2*exp(1))*exp(1/2)^2)/sqrt(-d*exp(1/2)^2+d*exp(1))/exp(1/2)))","F(-2)",0
13,-2,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/2*(-1/x*ln((1+(sqrt(exp(1)*x^2+d))^-1*exp(1/2)*x)/(1-(sqrt(exp(1)*x^2+d))^-1*exp(1/2)*x))-2*d*exp(1/2)*(-2/d/2/sqrt(-d)*atan(sqrt(d+x^2*exp(1))/sqrt(-d))+(2*exp(1)-2*exp(1/2)^2)/d/2/sqrt(-d*exp(1/2)^2+d*exp(1))/exp(1/2)*atan((sqrt(d+x^2*exp(1))*exp(1)-sqrt(d+x^2*exp(1))*exp(1/2)^2)/sqrt(-d*exp(1/2)^2+d*exp(1))/exp(1/2))))","F(-2)",0
14,-2,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^4,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/2*(-1/3/x^3*ln((1+(sqrt(exp(1)*x^2+d))^-1*exp(1/2)*x)/(1-(sqrt(exp(1)*x^2+d))^-1*exp(1/2)*x))-2*d*exp(1/2)*(-(2*exp(1)^2-4*exp(1)*exp(1/2)^2+2*exp(1/2)^4)/3/d^2/2/sqrt(-d*exp(1/2)^2+d*exp(1))/exp(1/2)*atan((sqrt(d+x^2*exp(1))*exp(1)-sqrt(d+x^2*exp(1))*exp(1/2)^2)/sqrt(-d*exp(1/2)^2+d*exp(1))/exp(1/2))+(3*exp(1)-2*exp(1/2)^2)/3/d^2/2/sqrt(-d)*atan(sqrt(d+x^2*exp(1))/sqrt(-d))+sqrt(d+x^2*exp(1))*exp(1)/6/d^2/(d+x^2*exp(1)-d)))","F(-2)",0
15,-2,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^6,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 1/2*(-1/5/x^5*ln((1+(sqrt(exp(1)*x^2+d))^-1*exp(1/2)*x)/(1-(sqrt(exp(1)*x^2+d))^-1*exp(1/2)*x))-2*d*exp(1/2)*((2*exp(1)^3-6*exp(1)^2*exp(1/2)^2+6*exp(1)*exp(1/2)^4-2*exp(1/2)^6)/5/d^3/2/sqrt(-d*exp(1/2)^2+d*exp(1))/exp(1/2)*atan((sqrt(d+x^2*exp(1))*exp(1)-sqrt(d+x^2*exp(1))*exp(1/2)^2)/sqrt(-d*exp(1/2)^2+d*exp(1))/exp(1/2))+(-15*exp(1)^2+20*exp(1)*exp(1/2)^2-8*exp(1/2)^4)/20/d^3/2/sqrt(-d)*atan(sqrt(d+x^2*exp(1))/sqrt(-d))+(-7*sqrt(d+x^2*exp(1))*(d+x^2*exp(1))*exp(1)^2+4*sqrt(d+x^2*exp(1))*(d+x^2*exp(1))*exp(1)*exp(1/2)^2+9*sqrt(d+x^2*exp(1))*d*exp(1)^2-4*sqrt(d+x^2*exp(1))*d*exp(1)*exp(1/2)^2)/40/d^3/(d+x^2*exp(1)-d)^2))","F(-2)",0
16,-2,0,0,0.000000," ","integrate(x^(9/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)Unable to transpose Error: Bad Argument Value","F(-2)",0
17,-2,0,0,0.000000," ","integrate(x^(5/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)Unable to transpose Error: Bad Argument Value","F(-2)",0
18,-2,0,0,0.000000," ","integrate(x^(1/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)Unable to transpose Error: Bad Argument Value","F(-2)",0
19,0,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(3/2),x, algorithm=""giac"")","\int \frac{\operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right)}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(arctanh(sqrt(e)*x/sqrt(e*x^2 + d))/x^(3/2), 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=""giac"")","\int \frac{\operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right)}{x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(arctanh(sqrt(e)*x/sqrt(e*x^2 + d))/x^(7/2), x)","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=""giac"")","\int \frac{\operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right)}{x^{\frac{11}{2}}}\,{d x}"," ",0,"integrate(arctanh(sqrt(e)*x/sqrt(e*x^2 + d))/x^(11/2), x)","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=""giac"")","\int \frac{\operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right)}{x^{\frac{15}{2}}}\,{d x}"," ",0,"integrate(arctanh(sqrt(e)*x/sqrt(e*x^2 + d))/x^(15/2), x)","F",0
23,-2,0,0,0.000000," ","integrate(x^(7/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)exp(1/2)^2=exp(1)Unable to transpose Error: Bad Argument Value","F(-2)",0
24,1,1,0,0.318426," ","integrate(x^(3/2)*arctanh(x*e^(1/2)/(e*x^2+d)^(1/2)),x, algorithm=""giac"")","+\infty"," ",0,"+Infinity","A",0
25,0,0,0,0.000000," ","integrate(arctanh(x*e^(1/2)/(e*x^2+d)^(1/2))/x^(1/2),x, algorithm=""giac"")","\int \frac{\operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right)}{\sqrt{x}}\,{d x}"," ",0,"integrate(arctanh(sqrt(e)*x/sqrt(e*x^2 + d))/sqrt(x), x)","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=""giac"")","\int \frac{\operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right)}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(arctanh(sqrt(e)*x/sqrt(e*x^2 + d))/x^(5/2), x)","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=""giac"")","\int \frac{\operatorname{artanh}\left(\frac{\sqrt{e} x}{\sqrt{e x^{2} + d}}\right)}{x^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(arctanh(sqrt(e)*x/sqrt(e*x^2 + d))/x^(9/2), x)","F",0
28,1,223,0,0.204929," ","integrate(x^3*arctanh(b*x^4+a),x, algorithm=""giac"")","\frac{1}{8} \, {\left({\left(a + 1\right)} b - {\left(a - 1\right)} b\right)} {\left(\frac{\log\left(\frac{{\left| -b x^{4} - a - 1 \right|}}{{\left| b x^{4} + a - 1 \right|}}\right)}{b^{2}} - \frac{\log\left({\left| -\frac{b x^{4} + a + 1}{b x^{4} + a - 1} + 1 \right|}\right)}{b^{2}} + \frac{\log\left(-\frac{a - \frac{{\left(\frac{{\left(b x^{4} + a + 1\right)} {\left(a - 1\right)}}{b x^{4} + a - 1} - a - 1\right)} b}{\frac{{\left(b x^{4} + a + 1\right)} b}{b x^{4} + a - 1} - b} + 1}{a - \frac{{\left(\frac{{\left(b x^{4} + a + 1\right)} {\left(a - 1\right)}}{b x^{4} + a - 1} - a - 1\right)} b}{\frac{{\left(b x^{4} + a + 1\right)} b}{b x^{4} + a - 1} - b} - 1}\right)}{b^{2} {\left(\frac{b x^{4} + a + 1}{b x^{4} + a - 1} - 1\right)}}\right)}"," ",0,"1/8*((a + 1)*b - (a - 1)*b)*(log(abs(-b*x^4 - a - 1)/abs(b*x^4 + a - 1))/b^2 - log(abs(-(b*x^4 + a + 1)/(b*x^4 + a - 1) + 1))/b^2 + log(-(a - ((b*x^4 + a + 1)*(a - 1)/(b*x^4 + a - 1) - a - 1)*b/((b*x^4 + a + 1)*b/(b*x^4 + a - 1) - b) + 1)/(a - ((b*x^4 + a + 1)*(a - 1)/(b*x^4 + a - 1) - a - 1)*b/((b*x^4 + a + 1)*b/(b*x^4 + a - 1) - b) - 1))/(b^2*((b*x^4 + a + 1)/(b*x^4 + a - 1) - 1)))","B",0
29,1,124,0,0.212879," ","integrate(x^(-1+n)*arctanh(a+b*x^n),x, algorithm=""giac"")","\frac{{\left({\left(a + 1\right)} b - {\left(a - 1\right)} b\right)} {\left(\frac{\log\left(\frac{{\left| -b x^{n} - a - 1 \right|}}{{\left| b x^{n} + a - 1 \right|}}\right)}{b^{2}} - \frac{\log\left({\left| -\frac{b x^{n} + a + 1}{b x^{n} + a - 1} + 1 \right|}\right)}{b^{2}} + \frac{\log\left(-\frac{b x^{n} + a + 1}{b x^{n} + a - 1}\right)}{b^{2} {\left(\frac{b x^{n} + a + 1}{b x^{n} + a - 1} - 1\right)}}\right)}}{2 \, n}"," ",0,"1/2*((a + 1)*b - (a - 1)*b)*(log(abs(-b*x^n - a - 1)/abs(b*x^n + a - 1))/b^2 - log(abs(-(b*x^n + a + 1)/(b*x^n + a - 1) + 1))/b^2 + log(-(b*x^n + a + 1)/(b*x^n + a - 1))/(b^2*((b*x^n + a + 1)/(b*x^n + a - 1) - 1)))/n","B",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=""giac"")","\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=""giac"")","\int -\frac{{\left(b \operatorname{artanh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{3}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-(b*arctanh(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^3/(c^2*x^2 - 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=""giac"")","\int -\frac{{\left(b \operatorname{artanh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{2}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-(b*arctanh(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^2/(c^2*x^2 - 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=""giac"")","\int -\frac{b \operatorname{artanh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-(b*arctanh(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)/(c^2*x^2 - 1), x)","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=""giac"")","\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=""giac"")","\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)}^{2}}\,{d x}"," ",0,"integrate(-1/((c^2*x^2 - 1)*(b*arctanh(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^2), x)","F",0
36,1,43,0,0.322297," ","integrate(x^m*arctanh(tanh(b*x+a)),x, algorithm=""giac"")","\frac{b m x^{2} x^{m} + a m x x^{m} + b x^{2} x^{m} + 2 \, a x x^{m}}{m^{2} + 3 \, m + 2}"," ",0,"(b*m*x^2*x^m + a*m*x*x^m + b*x^2*x^m + 2*a*x*x^m)/(m^2 + 3*m + 2)","A",0
37,1,13,0,0.223828," ","integrate(x^2*arctanh(tanh(b*x+a)),x, algorithm=""giac"")","\frac{1}{4} \, b x^{4} + \frac{1}{3} \, a x^{3}"," ",0,"1/4*b*x^4 + 1/3*a*x^3","A",0
38,1,13,0,0.140542," ","integrate(x*arctanh(tanh(b*x+a)),x, algorithm=""giac"")","\frac{1}{3} \, b x^{3} + \frac{1}{2} \, a x^{2}"," ",0,"1/3*b*x^3 + 1/2*a*x^2","A",0
39,1,10,0,0.924742," ","integrate(arctanh(tanh(b*x+a)),x, algorithm=""giac"")","\frac{1}{2} \, b x^{2} + a x"," ",0,"1/2*b*x^2 + a*x","A",0
40,1,9,0,0.186707," ","integrate(arctanh(tanh(b*x+a))/x,x, algorithm=""giac"")","b x + a \log\left({\left| x \right|}\right)"," ",0,"b*x + a*log(abs(x))","A",0
41,1,12,0,0.164079," ","integrate(arctanh(tanh(b*x+a))/x^2,x, algorithm=""giac"")","b \log\left({\left| x \right|}\right) - \frac{a}{x}"," ",0,"b*log(abs(x)) - a/x","A",0
42,1,11,0,0.149504," ","integrate(arctanh(tanh(b*x+a))/x^3,x, algorithm=""giac"")","-\frac{2 \, b x + a}{2 \, x^{2}}"," ",0,"-1/2*(2*b*x + a)/x^2","A",0
43,1,13,0,0.150956," ","integrate(arctanh(tanh(b*x+a))/x^4,x, algorithm=""giac"")","-\frac{3 \, b x + 2 \, a}{6 \, x^{3}}"," ",0,"-1/6*(3*b*x + 2*a)/x^3","A",0
44,0,0,0,0.000000," ","integrate(x^m*arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\int 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
45,1,24,0,0.352373," ","integrate(x^3*arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\frac{1}{6} \, b^{2} x^{6} + \frac{2}{5} \, a b x^{5} + \frac{1}{4} \, a^{2} x^{4}"," ",0,"1/6*b^2*x^6 + 2/5*a*b*x^5 + 1/4*a^2*x^4","A",0
46,1,24,0,0.256233," ","integrate(x^2*arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\frac{1}{5} \, b^{2} x^{5} + \frac{1}{2} \, a b x^{4} + \frac{1}{3} \, a^{2} x^{3}"," ",0,"1/5*b^2*x^5 + 1/2*a*b*x^4 + 1/3*a^2*x^3","A",0
47,1,24,0,0.162696," ","integrate(x*arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\frac{1}{4} \, b^{2} x^{4} + \frac{2}{3} \, a b x^{3} + \frac{1}{2} \, a^{2} x^{2}"," ",0,"1/4*b^2*x^4 + 2/3*a*b*x^3 + 1/2*a^2*x^2","A",0
48,1,20,0,0.163127," ","integrate(arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\frac{1}{3} \, b^{2} x^{3} + a b x^{2} + a^{2} x"," ",0,"1/3*b^2*x^3 + a*b*x^2 + a^2*x","A",0
49,1,21,0,0.172154," ","integrate(arctanh(tanh(b*x+a))^2/x,x, algorithm=""giac"")","\frac{1}{2} \, b^{2} x^{2} + 2 \, a b x + a^{2} \log\left({\left| x \right|}\right)"," ",0,"1/2*b^2*x^2 + 2*a*b*x + a^2*log(abs(x))","A",0
50,1,21,0,0.167643," ","integrate(arctanh(tanh(b*x+a))^2/x^2,x, algorithm=""giac"")","b^{2} x + 2 \, a b \log\left({\left| x \right|}\right) - \frac{a^{2}}{x}"," ",0,"b^2*x + 2*a*b*log(abs(x)) - a^2/x","A",0
51,1,22,0,0.179567," ","integrate(arctanh(tanh(b*x+a))^2/x^3,x, algorithm=""giac"")","b^{2} \log\left({\left| x \right|}\right) - \frac{4 \, a b x + a^{2}}{2 \, x^{2}}"," ",0,"b^2*log(abs(x)) - 1/2*(4*a*b*x + a^2)/x^2","A",0
52,1,22,0,0.813379," ","integrate(arctanh(tanh(b*x+a))^2/x^4,x, algorithm=""giac"")","-\frac{3 \, b^{2} x^{2} + 3 \, a b x + a^{2}}{3 \, x^{3}}"," ",0,"-1/3*(3*b^2*x^2 + 3*a*b*x + a^2)/x^3","A",0
53,1,24,0,0.396078," ","integrate(arctanh(tanh(b*x+a))^2/x^5,x, algorithm=""giac"")","-\frac{6 \, b^{2} x^{2} + 8 \, a b x + 3 \, a^{2}}{12 \, x^{4}}"," ",0,"-1/12*(6*b^2*x^2 + 8*a*b*x + 3*a^2)/x^4","A",0
54,0,0,0,0.000000," ","integrate(x^m*arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\int 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
55,1,35,0,0.214192," ","integrate(x^3*arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\frac{1}{7} \, b^{3} x^{7} + \frac{1}{2} \, a b^{2} x^{6} + \frac{3}{5} \, a^{2} b x^{5} + \frac{1}{4} \, a^{3} x^{4}"," ",0,"1/7*b^3*x^7 + 1/2*a*b^2*x^6 + 3/5*a^2*b*x^5 + 1/4*a^3*x^4","A",0
56,1,35,0,0.159604," ","integrate(x^2*arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\frac{1}{6} \, b^{3} x^{6} + \frac{3}{5} \, a b^{2} x^{5} + \frac{3}{4} \, a^{2} b x^{4} + \frac{1}{3} \, a^{3} x^{3}"," ",0,"1/6*b^3*x^6 + 3/5*a*b^2*x^5 + 3/4*a^2*b*x^4 + 1/3*a^3*x^3","A",0
57,1,34,0,0.165291," ","integrate(x*arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\frac{1}{5} \, b^{3} x^{5} + \frac{3}{4} \, a b^{2} x^{4} + a^{2} b x^{3} + \frac{1}{2} \, a^{3} x^{2}"," ",0,"1/5*b^3*x^5 + 3/4*a*b^2*x^4 + a^2*b*x^3 + 1/2*a^3*x^2","A",0
58,1,31,0,0.174486," ","integrate(arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\frac{1}{2} \, {\left(b x^{2} + 2 \, a x\right)} a^{2} + \frac{1}{4} \, {\left(b x^{2} + 2 \, a x\right)}^{2} b"," ",0,"1/2*(b*x^2 + 2*a*x)*a^2 + 1/4*(b*x^2 + 2*a*x)^2*b","B",0
59,1,32,0,0.174469," ","integrate(arctanh(tanh(b*x+a))^3/x,x, algorithm=""giac"")","\frac{1}{3} \, b^{3} x^{3} + \frac{3}{2} \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3} \log\left({\left| x \right|}\right)"," ",0,"1/3*b^3*x^3 + 3/2*a*b^2*x^2 + 3*a^2*b*x + a^3*log(abs(x))","A",0
60,1,33,0,0.191264," ","integrate(arctanh(tanh(b*x+a))^3/x^2,x, algorithm=""giac"")","\frac{1}{2} \, b^{3} x^{2} + 3 \, a b^{2} x + 3 \, a^{2} b \log\left({\left| x \right|}\right) - \frac{a^{3}}{x}"," ",0,"1/2*b^3*x^2 + 3*a*b^2*x + 3*a^2*b*log(abs(x)) - a^3/x","A",0
61,1,31,0,0.200172," ","integrate(arctanh(tanh(b*x+a))^3/x^3,x, algorithm=""giac"")","b^{3} x + 3 \, a b^{2} \log\left({\left| x \right|}\right) - \frac{6 \, a^{2} b x + a^{3}}{2 \, x^{2}}"," ",0,"b^3*x + 3*a*b^2*log(abs(x)) - 1/2*(6*a^2*b*x + a^3)/x^2","A",0
62,1,35,0,0.158043," ","integrate(arctanh(tanh(b*x+a))^3/x^4,x, algorithm=""giac"")","b^{3} \log\left({\left| x \right|}\right) - \frac{18 \, a b^{2} x^{2} + 9 \, a^{2} b x + 2 \, a^{3}}{6 \, x^{3}}"," ",0,"b^3*log(abs(x)) - 1/6*(18*a*b^2*x^2 + 9*a^2*b*x + 2*a^3)/x^3","A",0
63,1,33,0,0.224646," ","integrate(arctanh(tanh(b*x+a))^3/x^5,x, algorithm=""giac"")","-\frac{4 \, b^{3} x^{3} + 6 \, a b^{2} x^{2} + 4 \, a^{2} b x + a^{3}}{4 \, x^{4}}"," ",0,"-1/4*(4*b^3*x^3 + 6*a*b^2*x^2 + 4*a^2*b*x + a^3)/x^4","A",0
64,1,35,0,0.163896," ","integrate(arctanh(tanh(b*x+a))^3/x^6,x, algorithm=""giac"")","-\frac{10 \, b^{3} x^{3} + 20 \, a b^{2} x^{2} + 15 \, a^{2} b x + 4 \, a^{3}}{20 \, x^{5}}"," ",0,"-1/20*(10*b^3*x^3 + 20*a*b^2*x^2 + 15*a^2*b*x + 4*a^3)/x^5","A",0
65,0,0,0,0.000000," ","integrate(x^m*arctanh(tanh(b*x+a))^4,x, algorithm=""giac"")","\int x^{m} \operatorname{artanh}\left(\tanh\left(b x + a\right)\right)^{4}\,{d x}"," ",0,"integrate(x^m*arctanh(tanh(b*x + a))^4, x)","F",0
66,1,46,0,0.466111," ","integrate(x^6*arctanh(tanh(b*x+a))^4,x, algorithm=""giac"")","\frac{1}{11} \, b^{4} x^{11} + \frac{2}{5} \, a b^{3} x^{10} + \frac{2}{3} \, a^{2} b^{2} x^{9} + \frac{1}{2} \, a^{3} b x^{8} + \frac{1}{7} \, a^{4} x^{7}"," ",0,"1/11*b^4*x^11 + 2/5*a*b^3*x^10 + 2/3*a^2*b^2*x^9 + 1/2*a^3*b*x^8 + 1/7*a^4*x^7","A",0
67,1,46,0,0.195366," ","integrate(x^5*arctanh(tanh(b*x+a))^4,x, algorithm=""giac"")","\frac{1}{10} \, b^{4} x^{10} + \frac{4}{9} \, a b^{3} x^{9} + \frac{3}{4} \, a^{2} b^{2} x^{8} + \frac{4}{7} \, a^{3} b x^{7} + \frac{1}{6} \, a^{4} x^{6}"," ",0,"1/10*b^4*x^10 + 4/9*a*b^3*x^9 + 3/4*a^2*b^2*x^8 + 4/7*a^3*b*x^7 + 1/6*a^4*x^6","A",0
68,1,46,0,0.224147," ","integrate(x^4*arctanh(tanh(b*x+a))^4,x, algorithm=""giac"")","\frac{1}{9} \, b^{4} x^{9} + \frac{1}{2} \, a b^{3} x^{8} + \frac{6}{7} \, a^{2} b^{2} x^{7} + \frac{2}{3} \, a^{3} b x^{6} + \frac{1}{5} \, a^{4} x^{5}"," ",0,"1/9*b^4*x^9 + 1/2*a*b^3*x^8 + 6/7*a^2*b^2*x^7 + 2/3*a^3*b*x^6 + 1/5*a^4*x^5","A",0
69,1,45,0,0.198657," ","integrate(x^3*arctanh(tanh(b*x+a))^4,x, algorithm=""giac"")","\frac{1}{8} \, b^{4} x^{8} + \frac{4}{7} \, a b^{3} x^{7} + a^{2} b^{2} x^{6} + \frac{4}{5} \, a^{3} b x^{5} + \frac{1}{4} \, a^{4} x^{4}"," ",0,"1/8*b^4*x^8 + 4/7*a*b^3*x^7 + a^2*b^2*x^6 + 4/5*a^3*b*x^5 + 1/4*a^4*x^4","A",0
70,1,45,0,0.186011," ","integrate(x^2*arctanh(tanh(b*x+a))^4,x, algorithm=""giac"")","\frac{1}{7} \, b^{4} x^{7} + \frac{2}{3} \, a b^{3} x^{6} + \frac{6}{5} \, a^{2} b^{2} x^{5} + a^{3} b x^{4} + \frac{1}{3} \, a^{4} x^{3}"," ",0,"1/7*b^4*x^7 + 2/3*a*b^3*x^6 + 6/5*a^2*b^2*x^5 + a^3*b*x^4 + 1/3*a^4*x^3","A",0
71,1,46,0,0.165504," ","integrate(x*arctanh(tanh(b*x+a))^4,x, algorithm=""giac"")","\frac{1}{6} \, b^{4} x^{6} + \frac{4}{5} \, a b^{3} x^{5} + \frac{3}{2} \, a^{2} b^{2} x^{4} + \frac{4}{3} \, a^{3} b x^{3} + \frac{1}{2} \, a^{4} x^{2}"," ",0,"1/6*b^4*x^6 + 4/5*a*b^3*x^5 + 3/2*a^2*b^2*x^4 + 4/3*a^3*b*x^3 + 1/2*a^4*x^2","A",0
72,1,42,0,0.161295," ","integrate(arctanh(tanh(b*x+a))^4,x, algorithm=""giac"")","\frac{1}{5} \, b^{4} x^{5} + a b^{3} x^{4} + 2 \, a^{2} b^{2} x^{3} + 2 \, a^{3} b x^{2} + a^{4} x"," ",0,"1/5*b^4*x^5 + a*b^3*x^4 + 2*a^2*b^2*x^3 + 2*a^3*b*x^2 + a^4*x","B",0
73,1,43,0,0.212039," ","integrate(arctanh(tanh(b*x+a))^4/x,x, algorithm=""giac"")","\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({\left| x \right|}\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(abs(x))","A",0
74,1,44,0,0.328321," ","integrate(arctanh(tanh(b*x+a))^4/x^2,x, algorithm=""giac"")","\frac{1}{3} \, b^{4} x^{3} + 2 \, a b^{3} x^{2} + 6 \, a^{2} b^{2} x + 4 \, a^{3} b \log\left({\left| x \right|}\right) - \frac{a^{4}}{x}"," ",0,"1/3*b^4*x^3 + 2*a*b^3*x^2 + 6*a^2*b^2*x + 4*a^3*b*log(abs(x)) - a^4/x","A",0
75,1,43,0,0.228638," ","integrate(arctanh(tanh(b*x+a))^4/x^3,x, algorithm=""giac"")","\frac{1}{2} \, b^{4} x^{2} + 4 \, a b^{3} x + 6 \, a^{2} b^{2} \log\left({\left| x \right|}\right) - \frac{8 \, a^{3} b x + a^{4}}{2 \, x^{2}}"," ",0,"1/2*b^4*x^2 + 4*a*b^3*x + 6*a^2*b^2*log(abs(x)) - 1/2*(8*a^3*b*x + a^4)/x^2","A",0
76,1,42,0,0.211019," ","integrate(arctanh(tanh(b*x+a))^4/x^4,x, algorithm=""giac"")","b^{4} x + 4 \, a b^{3} \log\left({\left| x \right|}\right) - \frac{18 \, a^{2} b^{2} x^{2} + 6 \, a^{3} b x + a^{4}}{3 \, x^{3}}"," ",0,"b^4*x + 4*a*b^3*log(abs(x)) - 1/3*(18*a^2*b^2*x^2 + 6*a^3*b*x + a^4)/x^3","A",0
77,1,46,0,0.179250," ","integrate(arctanh(tanh(b*x+a))^4/x^5,x, algorithm=""giac"")","b^{4} \log\left({\left| x \right|}\right) - \frac{48 \, a b^{3} x^{3} + 36 \, a^{2} b^{2} x^{2} + 16 \, a^{3} b x + 3 \, a^{4}}{12 \, x^{4}}"," ",0,"b^4*log(abs(x)) - 1/12*(48*a*b^3*x^3 + 36*a^2*b^2*x^2 + 16*a^3*b*x + 3*a^4)/x^4","A",0
78,1,44,0,0.172749," ","integrate(arctanh(tanh(b*x+a))^4/x^6,x, algorithm=""giac"")","-\frac{5 \, b^{4} x^{4} + 10 \, a b^{3} x^{3} + 10 \, a^{2} b^{2} x^{2} + 5 \, a^{3} b x + a^{4}}{5 \, x^{5}}"," ",0,"-1/5*(5*b^4*x^4 + 10*a*b^3*x^3 + 10*a^2*b^2*x^2 + 5*a^3*b*x + a^4)/x^5","A",0
79,1,46,0,0.157248," ","integrate(arctanh(tanh(b*x+a))^4/x^7,x, algorithm=""giac"")","-\frac{15 \, b^{4} x^{4} + 40 \, a b^{3} x^{3} + 45 \, a^{2} b^{2} x^{2} + 24 \, a^{3} b x + 5 \, a^{4}}{30 \, x^{6}}"," ",0,"-1/30*(15*b^4*x^4 + 40*a*b^3*x^3 + 45*a^2*b^2*x^2 + 24*a^3*b*x + 5*a^4)/x^6","A",0
80,1,46,0,0.211764," ","integrate(arctanh(tanh(b*x+a))^4/x^8,x, algorithm=""giac"")","-\frac{35 \, b^{4} x^{4} + 105 \, a b^{3} x^{3} + 126 \, a^{2} b^{2} x^{2} + 70 \, a^{3} b x + 15 \, a^{4}}{105 \, x^{7}}"," ",0,"-1/105*(35*b^4*x^4 + 105*a*b^3*x^3 + 126*a^2*b^2*x^2 + 70*a^3*b*x + 15*a^4)/x^7","A",0
81,1,46,0,0.153115," ","integrate(arctanh(tanh(b*x+a))^4/x^9,x, algorithm=""giac"")","-\frac{70 \, b^{4} x^{4} + 224 \, a b^{3} x^{3} + 280 \, a^{2} b^{2} x^{2} + 160 \, a^{3} b x + 35 \, a^{4}}{280 \, x^{8}}"," ",0,"-1/280*(70*b^4*x^4 + 224*a*b^3*x^3 + 280*a^2*b^2*x^2 + 160*a^3*b*x + 35*a^4)/x^8","A",0
82,1,46,0,0.186219," ","integrate(arctanh(tanh(b*x+a))^4/x^10,x, algorithm=""giac"")","-\frac{126 \, b^{4} x^{4} + 420 \, a b^{3} x^{3} + 540 \, a^{2} b^{2} x^{2} + 315 \, a^{3} b x + 70 \, a^{4}}{630 \, x^{9}}"," ",0,"-1/630*(126*b^4*x^4 + 420*a*b^3*x^3 + 540*a^2*b^2*x^2 + 315*a^3*b*x + 70*a^4)/x^9","A",0
83,1,46,0,0.256154," ","integrate(arctanh(tanh(b*x+a))^4/x^11,x, algorithm=""giac"")","-\frac{210 \, b^{4} x^{4} + 720 \, a b^{3} x^{3} + 945 \, a^{2} b^{2} x^{2} + 560 \, a^{3} b x + 126 \, a^{4}}{1260 \, x^{10}}"," ",0,"-1/1260*(210*b^4*x^4 + 720*a*b^3*x^3 + 945*a^2*b^2*x^2 + 560*a^3*b*x + 126*a^4)/x^10","A",0
84,1,68,0,0.190208," ","integrate(x*arctanh(tanh(b*x+a))^6,x, algorithm=""giac"")","\frac{1}{8} \, b^{6} x^{8} + \frac{6}{7} \, a b^{5} x^{7} + \frac{5}{2} \, a^{2} b^{4} x^{6} + 4 \, a^{3} b^{3} x^{5} + \frac{15}{4} \, a^{4} b^{2} x^{4} + 2 \, a^{5} b x^{3} + \frac{1}{2} \, a^{6} x^{2}"," ",0,"1/8*b^6*x^8 + 6/7*a*b^5*x^7 + 5/2*a^2*b^4*x^6 + 4*a^3*b^3*x^5 + 15/4*a^4*b^2*x^4 + 2*a^5*b*x^3 + 1/2*a^6*x^2","B",0
85,0,0,0,0.000000," ","integrate(x^m/arctanh(tanh(b*x+a)),x, algorithm=""giac"")","\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
86,1,43,0,0.232264," ","integrate(x^3/arctanh(tanh(b*x+a)),x, algorithm=""giac"")","-\frac{a^{3} \log\left({\left| b x + a \right|}\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(abs(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
87,1,30,0,0.175634," ","integrate(x^2/arctanh(tanh(b*x+a)),x, algorithm=""giac"")","\frac{a^{2} \log\left({\left| b x + a \right|}\right)}{b^{3}} + \frac{b x^{2} - 2 \, a x}{2 \, b^{2}}"," ",0,"a^2*log(abs(b*x + a))/b^3 + 1/2*(b*x^2 - 2*a*x)/b^2","A",0
88,1,19,0,0.171907," ","integrate(x/arctanh(tanh(b*x+a)),x, algorithm=""giac"")","\frac{x}{b} - \frac{a \log\left({\left| b x + a \right|}\right)}{b^{2}}"," ",0,"x/b - a*log(abs(b*x + a))/b^2","A",0
89,1,11,0,0.403713," ","integrate(1/arctanh(tanh(b*x+a)),x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{b}"," ",0,"log(abs(b*x + a))/b","A",0
90,1,20,0,0.209527," ","integrate(1/x/arctanh(tanh(b*x+a)),x, algorithm=""giac"")","-\frac{\log\left({\left| b x + a \right|}\right)}{a} + \frac{\log\left({\left| x \right|}\right)}{a}"," ",0,"-log(abs(b*x + a))/a + log(abs(x))/a","A",0
91,1,30,0,0.269728," ","integrate(1/x^2/arctanh(tanh(b*x+a)),x, algorithm=""giac"")","\frac{b \log\left({\left| b x + a \right|}\right)}{a^{2}} - \frac{b \log\left({\left| x \right|}\right)}{a^{2}} - \frac{1}{a x}"," ",0,"b*log(abs(b*x + a))/a^2 - b*log(abs(x))/a^2 - 1/(a*x)","A",0
92,1,45,0,0.142902," ","integrate(1/x^3/arctanh(tanh(b*x+a)),x, algorithm=""giac"")","-\frac{b^{2} \log\left({\left| b x + a \right|}\right)}{a^{3}} + \frac{b^{2} \log\left({\left| x \right|}\right)}{a^{3}} + \frac{2 \, a b x - a^{2}}{2 \, a^{3} x^{2}}"," ",0,"-b^2*log(abs(b*x + a))/a^3 + b^2*log(abs(x))/a^3 + 1/2*(2*a*b*x - a^2)/(a^3*x^2)","A",0
93,0,0,0,0.000000," ","integrate(x^m/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\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
94,1,62,0,0.157095," ","integrate(x^4/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","-\frac{4 \, a^{3} \log\left({\left| b x + a \right|}\right)}{b^{5}} - \frac{a^{4}}{{\left(b x + a\right)} b^{5}} + \frac{b^{4} x^{3} - 3 \, a b^{3} x^{2} + 9 \, a^{2} b^{2} x}{3 \, b^{6}}"," ",0,"-4*a^3*log(abs(b*x + a))/b^5 - a^4/((b*x + a)*b^5) + 1/3*(b^4*x^3 - 3*a*b^3*x^2 + 9*a^2*b^2*x)/b^6","A",0
95,1,48,0,0.167385," ","integrate(x^3/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\frac{3 \, a^{2} \log\left({\left| b x + a \right|}\right)}{b^{4}} + \frac{a^{3}}{{\left(b x + a\right)} b^{4}} + \frac{b^{2} x^{2} - 4 \, a b x}{2 \, b^{4}}"," ",0,"3*a^2*log(abs(b*x + a))/b^4 + a^3/((b*x + a)*b^4) + 1/2*(b^2*x^2 - 4*a*b*x)/b^4","A",0
96,1,34,0,0.177384," ","integrate(x^2/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\frac{x}{b^{2}} - \frac{2 \, a \log\left({\left| b x + a \right|}\right)}{b^{3}} - \frac{a^{2}}{{\left(b x + a\right)} b^{3}}"," ",0,"x/b^2 - 2*a*log(abs(b*x + a))/b^3 - a^2/((b*x + a)*b^3)","A",0
97,1,24,0,0.156253," ","integrate(x/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{b^{2}} + \frac{a}{{\left(b x + a\right)} b^{2}}"," ",0,"log(abs(b*x + a))/b^2 + a/((b*x + a)*b^2)","A",0
98,1,12,0,0.203351," ","integrate(1/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","-\frac{1}{{\left(b x + a\right)} b}"," ",0,"-1/((b*x + a)*b)","A",0
99,1,31,0,0.444811," ","integrate(1/x/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","-\frac{\log\left({\left| b x + a \right|}\right)}{a^{2}} + \frac{\log\left({\left| x \right|}\right)}{a^{2}} + \frac{1}{{\left(b x + a\right)} a}"," ",0,"-log(abs(b*x + a))/a^2 + log(abs(x))/a^2 + 1/((b*x + a)*a)","A",0
100,1,45,0,0.159044," ","integrate(1/x^2/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\frac{2 \, b \log\left({\left| b x + a \right|}\right)}{a^{3}} - \frac{2 \, b \log\left({\left| x \right|}\right)}{a^{3}} - \frac{2 \, b x + a}{{\left(b x^{2} + a x\right)} a^{2}}"," ",0,"2*b*log(abs(b*x + a))/a^3 - 2*b*log(abs(x))/a^3 - (2*b*x + a)/((b*x^2 + a*x)*a^2)","A",0
101,1,64,0,0.187869," ","integrate(1/x^3/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","-\frac{3 \, b^{2} \log\left({\left| b x + a \right|}\right)}{a^{4}} + \frac{3 \, b^{2} \log\left({\left| x \right|}\right)}{a^{4}} + \frac{6 \, a b^{2} x^{2} + 3 \, a^{2} b x - a^{3}}{2 \, {\left(b x + a\right)} a^{4} x^{2}}"," ",0,"-3*b^2*log(abs(b*x + a))/a^4 + 3*b^2*log(abs(x))/a^4 + 1/2*(6*a*b^2*x^2 + 3*a^2*b*x - a^3)/((b*x + a)*a^4*x^2)","A",0
102,0,0,0,0.000000," ","integrate(x^m/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\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
103,1,61,0,0.203536," ","integrate(x^4/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\frac{6 \, a^{2} \log\left({\left| b x + a \right|}\right)}{b^{5}} + \frac{b^{3} x^{2} - 6 \, a b^{2} x}{2 \, b^{6}} + \frac{8 \, a^{3} b x + 7 \, a^{4}}{2 \, {\left(b x + a\right)}^{2} b^{5}}"," ",0,"6*a^2*log(abs(b*x + a))/b^5 + 1/2*(b^3*x^2 - 6*a*b^2*x)/b^6 + 1/2*(8*a^3*b*x + 7*a^4)/((b*x + a)^2*b^5)","A",0
104,1,44,0,0.184369," ","integrate(x^3/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\frac{x}{b^{3}} - \frac{3 \, a \log\left({\left| b x + a \right|}\right)}{b^{4}} - \frac{6 \, a^{2} b x + 5 \, a^{3}}{2 \, {\left(b x + a\right)}^{2} b^{4}}"," ",0,"x/b^3 - 3*a*log(abs(b*x + a))/b^4 - 1/2*(6*a^2*b*x + 5*a^3)/((b*x + a)^2*b^4)","A",0
105,1,37,0,0.482491," ","integrate(x^2/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\frac{\log\left({\left| b x + a \right|}\right)}{b^{3}} + \frac{4 \, a x + \frac{3 \, a^{2}}{b}}{2 \, {\left(b x + a\right)}^{2} b^{2}}"," ",0,"log(abs(b*x + a))/b^3 + 1/2*(4*a*x + 3*a^2/b)/((b*x + a)^2*b^2)","A",0
106,1,18,0,0.166316," ","integrate(x/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","-\frac{2 \, b x + a}{2 \, {\left(b x + a\right)}^{2} b^{2}}"," ",0,"-1/2*(2*b*x + a)/((b*x + a)^2*b^2)","A",0
107,1,12,0,0.166442," ","integrate(1/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(b x + a\right)}^{2} b}"," ",0,"-1/2/((b*x + a)^2*b)","A",0
108,1,43,0,0.187697," ","integrate(1/x/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","-\frac{\log\left({\left| b x + a \right|}\right)}{a^{3}} + \frac{\log\left({\left| x \right|}\right)}{a^{3}} + \frac{2 \, a b x + 3 \, a^{2}}{2 \, {\left(b x + a\right)}^{2} a^{3}}"," ",0,"-log(abs(b*x + a))/a^3 + log(abs(x))/a^3 + 1/2*(2*a*b*x + 3*a^2)/((b*x + a)^2*a^3)","A",0
109,1,60,0,0.167838," ","integrate(1/x^2/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\frac{3 \, b \log\left({\left| b x + a \right|}\right)}{a^{4}} - \frac{3 \, b \log\left({\left| x \right|}\right)}{a^{4}} - \frac{6 \, a b^{2} x^{2} + 9 \, a^{2} b x + 2 \, a^{3}}{2 \, {\left(b x + a\right)}^{2} a^{4} x}"," ",0,"3*b*log(abs(b*x + a))/a^4 - 3*b*log(abs(x))/a^4 - 1/2*(6*a*b^2*x^2 + 9*a^2*b*x + 2*a^3)/((b*x + a)^2*a^4*x)","A",0
110,1,73,0,0.179214," ","integrate(1/x^3/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","-\frac{6 \, b^{2} \log\left({\left| b x + a \right|}\right)}{a^{5}} + \frac{6 \, b^{2} \log\left({\left| x \right|}\right)}{a^{5}} + \frac{12 \, b^{3} x^{3} + 18 \, a b^{2} x^{2} + 4 \, a^{2} b x - a^{3}}{2 \, {\left(b x^{2} + a x\right)}^{2} a^{4}}"," ",0,"-6*b^2*log(abs(b*x + a))/a^5 + 6*b^2*log(abs(x))/a^5 + 1/2*(12*b^3*x^3 + 18*a*b^2*x^2 + 4*a^2*b*x - a^3)/((b*x^2 + a*x)^2*a^4)","A",0
111,1,150,0,0.619770," ","integrate(x^4*arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{11 \, \sqrt{2} {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a}{b^{4}} + \frac{5 \, \sqrt{2} {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)}}{b^{4}}\right)}}{3465 \, b}"," ",0,"1/3465*sqrt(2)*(11*sqrt(2)*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a/b^4 + 5*sqrt(2)*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)/b^4)/b","A",0
112,1,125,0,0.185596," ","integrate(x^3*arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{9 \, \sqrt{2} {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a}{b^{3}} + \frac{\sqrt{2} {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)}}{b^{3}}\right)}}{315 \, b}"," ",0,"1/315*sqrt(2)*(9*sqrt(2)*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a/b^3 + sqrt(2)*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)/b^3)/b","A",0
113,1,102,0,0.145337," ","integrate(x^2*arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{7 \, \sqrt{2} {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a}{b^{2}} + \frac{3 \, \sqrt{2} {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)}}{b^{2}}\right)}}{105 \, b}"," ",0,"1/105*sqrt(2)*(7*sqrt(2)*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a/b^2 + 3*sqrt(2)*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)/b^2)/b","B",0
114,1,75,0,0.177448," ","integrate(x*arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{5 \, \sqrt{2} {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a}{b} + \frac{\sqrt{2} {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)}}{b}\right)}}{15 \, b}"," ",0,"1/15*sqrt(2)*(5*sqrt(2)*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a/b + sqrt(2)*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)/b)/b","B",0
115,1,18,0,0.163021," ","integrate(arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(2 \, b x + 2 \, a\right)}^{\frac{3}{2}}}{6 \, b}"," ",0,"1/6*sqrt(2)*(2*b*x + 2*a)^(3/2)/b","A",0
116,1,40,0,0.185622," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x,x, algorithm=""giac"")","\sqrt{2} {\left(\frac{\sqrt{2} a \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \sqrt{2} \sqrt{b x + a}\right)}"," ",0,"sqrt(2)*(sqrt(2)*a*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + sqrt(2)*sqrt(b*x + a))","A",0
117,1,51,0,0.160968," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^2,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{\sqrt{2} b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{\sqrt{2} \sqrt{b x + a} b}{x}\right)}}{2 \, b}"," ",0,"1/2*sqrt(2)*(sqrt(2)*b^2*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) - sqrt(2)*sqrt(b*x + a)*b/x)/b","A",0
118,1,75,0,0.171570," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^3,x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\frac{\sqrt{2} b^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{\sqrt{2} {\left({\left(b x + a\right)}^{\frac{3}{2}} b^{3} + \sqrt{b x + a} a b^{3}\right)}}{a b^{2} x^{2}}\right)}}{8 \, b}"," ",0,"-1/8*sqrt(2)*(sqrt(2)*b^3*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) + sqrt(2)*((b*x + a)^(3/2)*b^3 + sqrt(b*x + a)*a*b^3)/(a*b^2*x^2))/b","A",0
119,1,93,0,0.923458," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^4,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{3 \, \sqrt{2} b^{4} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{\sqrt{2} {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{4} - 8 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{4} - 3 \, \sqrt{b x + a} a^{2} b^{4}\right)}}{a^{2} b^{3} x^{3}}\right)}}{48 \, b}"," ",0,"1/48*sqrt(2)*(3*sqrt(2)*b^4*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) + sqrt(2)*(3*(b*x + a)^(5/2)*b^4 - 8*(b*x + a)^(3/2)*a*b^4 - 3*sqrt(b*x + a)*a^2*b^4)/(a^2*b^3*x^3))/b","A",0
120,1,241,0,0.190127," ","integrate(x^4*arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{143 \, \sqrt{2} {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a^{2}}{b^{4}} + \frac{130 \, \sqrt{2} {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)} a}{b^{4}} + \frac{15 \, \sqrt{2} {\left(231 \, {\left(b x + a\right)}^{\frac{13}{2}} - 1638 \, {\left(b x + a\right)}^{\frac{11}{2}} a + 5005 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{2} - 8580 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{3} + 9009 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} - 6006 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} + 3003 \, \sqrt{b x + a} a^{6}\right)}}{b^{4}}\right)}}{45045 \, b}"," ",0,"1/45045*sqrt(2)*(143*sqrt(2)*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a^2/b^4 + 130*sqrt(2)*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)*a/b^4 + 15*sqrt(2)*(231*(b*x + a)^(13/2) - 1638*(b*x + a)^(11/2)*a + 5005*(b*x + a)^(9/2)*a^2 - 8580*(b*x + a)^(7/2)*a^3 + 9009*(b*x + a)^(5/2)*a^4 - 6006*(b*x + a)^(3/2)*a^5 + 3003*sqrt(b*x + a)*a^6)/b^4)/b","B",0
121,1,205,0,0.198259," ","integrate(x^3*arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{99 \, \sqrt{2} {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a^{2}}{b^{3}} + \frac{22 \, \sqrt{2} {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a}{b^{3}} + \frac{5 \, \sqrt{2} {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)}}{b^{3}}\right)}}{3465 \, b}"," ",0,"1/3465*sqrt(2)*(99*sqrt(2)*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a^2/b^3 + 22*sqrt(2)*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a/b^3 + 5*sqrt(2)*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)/b^3)/b","B",0
122,1,168,0,0.161415," ","integrate(x^2*arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{21 \, \sqrt{2} {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a^{2}}{b^{2}} + \frac{18 \, \sqrt{2} {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a}{b^{2}} + \frac{\sqrt{2} {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)}}{b^{2}}\right)}}{315 \, b}"," ",0,"1/315*sqrt(2)*(21*sqrt(2)*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a^2/b^2 + 18*sqrt(2)*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a/b^2 + sqrt(2)*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)/b^2)/b","B",0
123,1,131,0,0.548505," ","integrate(x*arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{35 \, \sqrt{2} {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a^{2}}{b} + \frac{14 \, \sqrt{2} {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a}{b} + \frac{3 \, \sqrt{2} {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)}}{b}\right)}}{105 \, b}"," ",0,"1/105*sqrt(2)*(35*sqrt(2)*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a^2/b + 14*sqrt(2)*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a/b + 3*sqrt(2)*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)/b)/b","B",0
124,1,84,0,0.195676," ","integrate(arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(15 \, \sqrt{2} \sqrt{b x + a} a^{2} + 10 \, \sqrt{2} {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a + \sqrt{2} {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)}\right)}}{15 \, b}"," ",0,"1/15*sqrt(2)*(15*sqrt(2)*sqrt(b*x + a)*a^2 + 10*sqrt(2)*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a + sqrt(2)*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2))/b","B",0
125,1,57,0,0.217053," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x,x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{2} {\left(\frac{3 \, \sqrt{2} a^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \sqrt{2} {\left(b x + a\right)}^{\frac{3}{2}} + 3 \, \sqrt{2} \sqrt{b x + a} a\right)}"," ",0,"1/3*sqrt(2)*(3*sqrt(2)*a^2*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + sqrt(2)*(b*x + a)^(3/2) + 3*sqrt(2)*sqrt(b*x + a)*a)","A",0
126,1,69,0,0.403755," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^2,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{3 \, \sqrt{2} a b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 2 \, \sqrt{2} \sqrt{b x + a} b^{2} - \frac{\sqrt{2} \sqrt{b x + a} a b}{x}\right)}}{2 \, b}"," ",0,"1/2*sqrt(2)*(3*sqrt(2)*a*b^2*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 2*sqrt(2)*sqrt(b*x + a)*b^2 - sqrt(2)*sqrt(b*x + a)*a*b/x)/b","A",0
127,1,73,0,0.188550," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^3,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{3 \, \sqrt{2} b^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{\sqrt{2} {\left(5 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{3} - 3 \, \sqrt{b x + a} a b^{3}\right)}}{b^{2} x^{2}}\right)}}{8 \, b}"," ",0,"1/8*sqrt(2)*(3*sqrt(2)*b^3*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) - sqrt(2)*(5*(b*x + a)^(3/2)*b^3 - 3*sqrt(b*x + a)*a*b^3)/(b^2*x^2))/b","A",0
128,1,93,0,0.211234," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^4,x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\frac{3 \, \sqrt{2} b^{4} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{\sqrt{2} {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{4} + 8 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{4} - 3 \, \sqrt{b x + a} a^{2} b^{4}\right)}}{a b^{3} x^{3}}\right)}}{48 \, b}"," ",0,"-1/48*sqrt(2)*(3*sqrt(2)*b^4*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) + sqrt(2)*(3*(b*x + a)^(5/2)*b^4 + 8*(b*x + a)^(3/2)*a*b^4 - 3*sqrt(b*x + a)*a^2*b^4)/(a*b^3*x^3))/b","A",0
129,1,344,0,0.165477," ","integrate(x^4*arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{143 \, \sqrt{2} {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a^{3}}{b^{4}} + \frac{195 \, \sqrt{2} {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)} a^{2}}{b^{4}} + \frac{45 \, \sqrt{2} {\left(231 \, {\left(b x + a\right)}^{\frac{13}{2}} - 1638 \, {\left(b x + a\right)}^{\frac{11}{2}} a + 5005 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{2} - 8580 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{3} + 9009 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} - 6006 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} + 3003 \, \sqrt{b x + a} a^{6}\right)} a}{b^{4}} + \frac{7 \, \sqrt{2} {\left(429 \, {\left(b x + a\right)}^{\frac{15}{2}} - 3465 \, {\left(b x + a\right)}^{\frac{13}{2}} a + 12285 \, {\left(b x + a\right)}^{\frac{11}{2}} a^{2} - 25025 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{3} + 32175 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{4} - 27027 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{5} + 15015 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{6} - 6435 \, \sqrt{b x + a} a^{7}\right)}}{b^{4}}\right)}}{45045 \, b}"," ",0,"1/45045*sqrt(2)*(143*sqrt(2)*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a^3/b^4 + 195*sqrt(2)*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)*a^2/b^4 + 45*sqrt(2)*(231*(b*x + a)^(13/2) - 1638*(b*x + a)^(11/2)*a + 5005*(b*x + a)^(9/2)*a^2 - 8580*(b*x + a)^(7/2)*a^3 + 9009*(b*x + a)^(5/2)*a^4 - 6006*(b*x + a)^(3/2)*a^5 + 3003*sqrt(b*x + a)*a^6)*a/b^4 + 7*sqrt(2)*(429*(b*x + a)^(15/2) - 3465*(b*x + a)^(13/2)*a + 12285*(b*x + a)^(11/2)*a^2 - 25025*(b*x + a)^(9/2)*a^3 + 32175*(b*x + a)^(7/2)*a^4 - 27027*(b*x + a)^(5/2)*a^5 + 15015*(b*x + a)^(3/2)*a^6 - 6435*sqrt(b*x + a)*a^7)/b^4)/b","B",0
130,1,296,0,0.134985," ","integrate(x^3*arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{429 \, \sqrt{2} {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a^{3}}{b^{3}} + \frac{143 \, \sqrt{2} {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a^{2}}{b^{3}} + \frac{65 \, \sqrt{2} {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)} a}{b^{3}} + \frac{5 \, \sqrt{2} {\left(231 \, {\left(b x + a\right)}^{\frac{13}{2}} - 1638 \, {\left(b x + a\right)}^{\frac{11}{2}} a + 5005 \, {\left(b x + a\right)}^{\frac{9}{2}} a^{2} - 8580 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{3} + 9009 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{4} - 6006 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{5} + 3003 \, \sqrt{b x + a} a^{6}\right)}}{b^{3}}\right)}}{15015 \, b}"," ",0,"1/15015*sqrt(2)*(429*sqrt(2)*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a^3/b^3 + 143*sqrt(2)*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a^2/b^3 + 65*sqrt(2)*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)*a/b^3 + 5*sqrt(2)*(231*(b*x + a)^(13/2) - 1638*(b*x + a)^(11/2)*a + 5005*(b*x + a)^(9/2)*a^2 - 8580*(b*x + a)^(7/2)*a^3 + 9009*(b*x + a)^(5/2)*a^4 - 6006*(b*x + a)^(3/2)*a^5 + 3003*sqrt(b*x + a)*a^6)/b^3)/b","B",0
131,1,248,0,1.141944," ","integrate(x^2*arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{231 \, \sqrt{2} {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a^{3}}{b^{2}} + \frac{297 \, \sqrt{2} {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a^{2}}{b^{2}} + \frac{33 \, \sqrt{2} {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)} a}{b^{2}} + \frac{5 \, \sqrt{2} {\left(63 \, {\left(b x + a\right)}^{\frac{11}{2}} - 385 \, {\left(b x + a\right)}^{\frac{9}{2}} a + 990 \, {\left(b x + a\right)}^{\frac{7}{2}} a^{2} - 1386 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{3} + 1155 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4} - 693 \, \sqrt{b x + a} a^{5}\right)}}{b^{2}}\right)}}{3465 \, b}"," ",0,"1/3465*sqrt(2)*(231*sqrt(2)*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a^3/b^2 + 297*sqrt(2)*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a^2/b^2 + 33*sqrt(2)*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)*a/b^2 + 5*sqrt(2)*(63*(b*x + a)^(11/2) - 385*(b*x + a)^(9/2)*a + 990*(b*x + a)^(7/2)*a^2 - 1386*(b*x + a)^(5/2)*a^3 + 1155*(b*x + a)^(3/2)*a^4 - 693*sqrt(b*x + a)*a^5)/b^2)/b","B",0
132,1,197,0,0.176625," ","integrate(x*arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{105 \, \sqrt{2} {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a^{3}}{b} + \frac{63 \, \sqrt{2} {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a^{2}}{b} + \frac{27 \, \sqrt{2} {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)} a}{b} + \frac{\sqrt{2} {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)}}{b}\right)}}{315 \, b}"," ",0,"1/315*sqrt(2)*(105*sqrt(2)*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a^3/b + 63*sqrt(2)*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a^2/b + 27*sqrt(2)*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)*a/b + sqrt(2)*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)/b)/b","B",0
133,1,136,0,0.150549," ","integrate(arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(35 \, \sqrt{2} \sqrt{b x + a} a^{3} + 35 \, \sqrt{2} {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)} a^{2} + 7 \, \sqrt{2} {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)} a + \sqrt{2} {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)}\right)}}{35 \, b}"," ",0,"1/35*sqrt(2)*(35*sqrt(2)*sqrt(b*x + a)*a^3 + 35*sqrt(2)*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)*a^2 + 7*sqrt(2)*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)*a + sqrt(2)*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3))/b","B",0
134,1,73,0,0.192127," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x,x, algorithm=""giac"")","\frac{1}{15} \, \sqrt{2} {\left(\frac{15 \, \sqrt{2} a^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 3 \, \sqrt{2} {\left(b x + a\right)}^{\frac{5}{2}} + 5 \, \sqrt{2} {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{2} \sqrt{b x + a} a^{2}\right)}"," ",0,"1/15*sqrt(2)*(15*sqrt(2)*a^3*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 3*sqrt(2)*(b*x + a)^(5/2) + 5*sqrt(2)*(b*x + a)^(3/2)*a + 15*sqrt(2)*sqrt(b*x + a)*a^2)","A",0
135,1,89,0,0.193385," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^2,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{15 \, \sqrt{2} a^{2} b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 2 \, \sqrt{2} {\left(b x + a\right)}^{\frac{3}{2}} b^{2} + 12 \, \sqrt{2} \sqrt{b x + a} a b^{2} - \frac{3 \, \sqrt{2} \sqrt{b x + a} a^{2} b}{x}\right)}}{6 \, b}"," ",0,"1/6*sqrt(2)*(15*sqrt(2)*a^2*b^2*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 2*sqrt(2)*(b*x + a)^(3/2)*b^2 + 12*sqrt(2)*sqrt(b*x + a)*a*b^2 - 3*sqrt(2)*sqrt(b*x + a)*a^2*b/x)/b","A",0
136,1,92,0,0.186982," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^3,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{15 \, \sqrt{2} a b^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + 8 \, \sqrt{2} \sqrt{b x + a} b^{3} - \frac{\sqrt{2} {\left(9 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{3} - 7 \, \sqrt{b x + a} a^{2} b^{3}\right)}}{b^{2} x^{2}}\right)}}{8 \, b}"," ",0,"1/8*sqrt(2)*(15*sqrt(2)*a*b^3*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) + 8*sqrt(2)*sqrt(b*x + a)*b^3 - sqrt(2)*(9*(b*x + a)^(3/2)*a*b^3 - 7*sqrt(b*x + a)*a^2*b^3)/(b^2*x^2))/b","A",0
137,1,88,0,0.194540," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^4,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{15 \, \sqrt{2} b^{4} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \frac{\sqrt{2} {\left(33 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{4} - 40 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{4} + 15 \, \sqrt{b x + a} a^{2} b^{4}\right)}}{b^{3} x^{3}}\right)}}{48 \, b}"," ",0,"1/48*sqrt(2)*(15*sqrt(2)*b^4*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a) - sqrt(2)*(33*(b*x + a)^(5/2)*b^4 - 40*(b*x + a)^(3/2)*a*b^4 + 15*sqrt(b*x + a)*a^2*b^4)/(b^3*x^3))/b","A",0
138,1,108,0,0.385430," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^5,x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\frac{15 \, \sqrt{2} b^{5} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{\sqrt{2} {\left(15 \, {\left(b x + a\right)}^{\frac{7}{2}} b^{5} + 73 \, {\left(b x + a\right)}^{\frac{5}{2}} a b^{5} - 55 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} b^{5} + 15 \, \sqrt{b x + a} a^{3} b^{5}\right)}}{a b^{4} x^{4}}\right)}}{384 \, b}"," ",0,"-1/384*sqrt(2)*(15*sqrt(2)*b^5*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) + sqrt(2)*(15*(b*x + a)^(7/2)*b^5 + 73*(b*x + a)^(5/2)*a*b^5 - 55*(b*x + a)^(3/2)*a^2*b^5 + 15*sqrt(b*x + a)*a^3*b^5)/(a*b^4*x^4))/b","A",0
139,1,123,0,0.307395," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^6,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{15 \, \sqrt{2} b^{6} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{\sqrt{2} {\left(15 \, {\left(b x + a\right)}^{\frac{9}{2}} b^{6} - 70 \, {\left(b x + a\right)}^{\frac{7}{2}} a b^{6} - 128 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} b^{6} + 70 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} b^{6} - 15 \, \sqrt{b x + a} a^{4} b^{6}\right)}}{a^{2} b^{5} x^{5}}\right)}}{1280 \, b}"," ",0,"1/1280*sqrt(2)*(15*sqrt(2)*b^6*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) + sqrt(2)*(15*(b*x + a)^(9/2)*b^6 - 70*(b*x + a)^(7/2)*a*b^6 - 128*(b*x + a)^(5/2)*a^2*b^6 + 70*(b*x + a)^(3/2)*a^3*b^6 - 15*sqrt(b*x + a)*a^4*b^6)/(a^2*b^5*x^5))/b","A",0
140,1,61,0,0.158889," ","integrate(x^4/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(35 \, {\left(b x + a\right)}^{\frac{9}{2}} - 180 \, {\left(b x + a\right)}^{\frac{7}{2}} a + 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} - 420 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} + 315 \, \sqrt{b x + a} a^{4}\right)}}{315 \, b^{5}}"," ",0,"2/315*(35*(b*x + a)^(9/2) - 180*(b*x + a)^(7/2)*a + 378*(b*x + a)^(5/2)*a^2 - 420*(b*x + a)^(3/2)*a^3 + 315*sqrt(b*x + a)*a^4)/b^5","A",0
141,1,49,0,0.134712," ","integrate(x^3/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} - 21 \, {\left(b x + a\right)}^{\frac{5}{2}} a + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} - 35 \, \sqrt{b x + a} a^{3}\right)}}{35 \, b^{4}}"," ",0,"2/35*(5*(b*x + a)^(7/2) - 21*(b*x + a)^(5/2)*a + 35*(b*x + a)^(3/2)*a^2 - 35*sqrt(b*x + a)*a^3)/b^4","A",0
142,1,37,0,0.164773," ","integrate(x^2/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(b x + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x + a} a^{2}\right)}}{15 \, b^{3}}"," ",0,"2/15*(3*(b*x + a)^(5/2) - 10*(b*x + a)^(3/2)*a + 15*sqrt(b*x + a)*a^2)/b^3","A",0
143,1,23,0,0.386231," ","integrate(x/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{b x + a} a\right)}}{3 \, b^{2}}"," ",0,"2/3*((b*x + a)^(3/2) - 3*sqrt(b*x + a)*a)/b^2","A",0
144,1,12,0,0.189900," ","integrate(1/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a}}{b}"," ",0,"2*sqrt(b*x + a)/b","A",0
145,1,21,0,0.165233," ","integrate(1/x/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a}}"," ",0,"2*arctan(sqrt(b*x + a)/sqrt(-a))/sqrt(-a)","A",0
146,1,47,0,0.238330," ","integrate(1/x^2/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","-\frac{\frac{b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{\sqrt{b x + a} b}{a x}}{b}"," ",0,"-(b^2*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) + sqrt(b*x + a)*b/(a*x))/b","A",0
147,1,69,0,0.175740," ","integrate(1/x^3/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{\frac{3 \, b^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{3} - 5 \, \sqrt{b x + a} a b^{3}}{a^{2} b^{2} x^{2}}}{4 \, b}"," ",0,"1/4*(3*b^3*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) + (3*(b*x + a)^(3/2)*b^3 - 5*sqrt(b*x + a)*a*b^3)/(a^2*b^2*x^2))/b","A",0
148,1,84,0,0.210139," ","integrate(1/x^4/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","-\frac{\frac{15 \, b^{4} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{3}} + \frac{15 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{4} - 40 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{4} + 33 \, \sqrt{b x + a} a^{2} b^{4}}{a^{3} b^{3} x^{3}}}{24 \, b}"," ",0,"-1/24*(15*b^4*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^3) + (15*(b*x + a)^(5/2)*b^4 - 40*(b*x + a)^(3/2)*a*b^4 + 33*sqrt(b*x + a)*a^2*b^4)/(a^3*b^3*x^3))/b","A",0
149,1,77,0,0.186206," ","integrate(x^4/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","-\frac{2 \, a^{4}}{\sqrt{b x + a} b^{5}} + \frac{2 \, {\left(5 \, {\left(b x + a\right)}^{\frac{7}{2}} b^{30} - 28 \, {\left(b x + a\right)}^{\frac{5}{2}} a b^{30} + 70 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} b^{30} - 140 \, \sqrt{b x + a} a^{3} b^{30}\right)}}{35 \, b^{35}}"," ",0,"-2*a^4/(sqrt(b*x + a)*b^5) + 2/35*(5*(b*x + a)^(7/2)*b^30 - 28*(b*x + a)^(5/2)*a*b^30 + 70*(b*x + a)^(3/2)*a^2*b^30 - 140*sqrt(b*x + a)*a^3*b^30)/b^35","A",0
150,1,61,0,0.184591," ","integrate(x^3/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{2 \, a^{3}}{\sqrt{b x + a} b^{4}} + \frac{2 \, {\left({\left(b x + a\right)}^{\frac{5}{2}} b^{16} - 5 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{16} + 15 \, \sqrt{b x + a} a^{2} b^{16}\right)}}{5 \, b^{20}}"," ",0,"2*a^3/(sqrt(b*x + a)*b^4) + 2/5*((b*x + a)^(5/2)*b^16 - 5*(b*x + a)^(3/2)*a*b^16 + 15*sqrt(b*x + a)*a^2*b^16)/b^20","A",0
151,1,46,0,0.153687," ","integrate(x^2/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","-\frac{2 \, a^{2}}{\sqrt{b x + a} b^{3}} + \frac{2 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} b^{6} - 6 \, \sqrt{b x + a} a b^{6}\right)}}{3 \, b^{9}}"," ",0,"-2*a^2/(sqrt(b*x + a)*b^3) + 2/3*((b*x + a)^(3/2)*b^6 - 6*sqrt(b*x + a)*a*b^6)/b^9","A",0
152,1,29,0,0.190495," ","integrate(x/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{\sqrt{b x + a}}{b} + \frac{a}{\sqrt{b x + a} b}\right)}}{b}"," ",0,"2*(sqrt(b*x + a)/b + a/(sqrt(b*x + a)*b))/b","A",0
153,1,12,0,0.179393," ","integrate(1/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","-\frac{2}{\sqrt{b x + a} b}"," ",0,"-2/(sqrt(b*x + a)*b)","A",0
154,1,37,0,0.270999," ","integrate(1/x/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a} + \frac{2}{\sqrt{b x + a} a}"," ",0,"2*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a) + 2/(sqrt(b*x + a)*a)","A",0
155,1,64,0,0.222201," ","integrate(1/x^2/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","-\frac{3 \, b \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} - \frac{3 \, {\left(b x + a\right)} b - 2 \, a b}{{\left({\left(b x + a\right)}^{\frac{3}{2}} - \sqrt{b x + a} a\right)} a^{2}}"," ",0,"-3*b*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) - (3*(b*x + a)*b - 2*a*b)/(((b*x + a)^(3/2) - sqrt(b*x + a)*a)*a^2)","A",0
156,1,80,0,0.179462," ","integrate(1/x^3/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{15 \, b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{4 \, \sqrt{-a} a^{3}} + \frac{2 \, b^{2}}{\sqrt{b x + a} a^{3}} + \frac{7 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{2} - 9 \, \sqrt{b x + a} a b^{2}}{4 \, a^{3} b^{2} x^{2}}"," ",0,"15/4*b^2*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^3) + 2*b^2/(sqrt(b*x + a)*a^3) + 1/4*(7*(b*x + a)^(3/2)*b^2 - 9*sqrt(b*x + a)*a*b^2)/(a^3*b^2*x^2)","A",0
157,1,95,0,0.209409," ","integrate(1/x^4/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","-\frac{35 \, b^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{8 \, \sqrt{-a} a^{4}} - \frac{2 \, b^{3}}{\sqrt{b x + a} a^{4}} - \frac{57 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{3} - 136 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{3} + 87 \, \sqrt{b x + a} a^{2} b^{3}}{24 \, a^{4} b^{3} x^{3}}"," ",0,"-35/8*b^3*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^4) - 2*b^3/(sqrt(b*x + a)*a^4) - 1/24*(57*(b*x + a)^(5/2)*b^3 - 136*(b*x + a)^(3/2)*a*b^3 + 87*sqrt(b*x + a)*a^2*b^3)/(a^4*b^3*x^3)","A",0
158,1,75,0,0.245548," ","integrate(x^4/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(12 \, {\left(b x + a\right)} a^{3} - a^{4}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{5}} + \frac{2 \, {\left(3 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{20} - 20 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{20} + 90 \, \sqrt{b x + a} a^{2} b^{20}\right)}}{15 \, b^{25}}"," ",0,"2/3*(12*(b*x + a)*a^3 - a^4)/((b*x + a)^(3/2)*b^5) + 2/15*(3*(b*x + a)^(5/2)*b^20 - 20*(b*x + a)^(3/2)*a*b^20 + 90*sqrt(b*x + a)*a^2*b^20)/b^25","A",0
159,1,59,0,0.238800," ","integrate(x^3/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(9 \, {\left(b x + a\right)} a^{2} - a^{3}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{4}} + \frac{2 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} b^{8} - 9 \, \sqrt{b x + a} a b^{8}\right)}}{3 \, b^{12}}"," ",0,"-2/3*(9*(b*x + a)*a^2 - a^3)/((b*x + a)^(3/2)*b^4) + 2/3*((b*x + a)^(3/2)*b^8 - 9*sqrt(b*x + a)*a*b^8)/b^12","A",0
160,1,39,0,0.317897," ","integrate(x^2/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{b x + a}}{b^{3}} + \frac{2 \, {\left(6 \, {\left(b x + a\right)} a - a^{2}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{3}}"," ",0,"2*sqrt(b*x + a)/b^3 + 2/3*(6*(b*x + a)*a - a^2)/((b*x + a)^(3/2)*b^3)","A",0
161,1,20,0,0.230437," ","integrate(x/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, b x + 2 \, a\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{2}}"," ",0,"-2/3*(3*b*x + 2*a)/((b*x + a)^(3/2)*b^2)","A",0
162,1,12,0,0.231942," ","integrate(1/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","-\frac{2}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} b}"," ",0,"-2/3/((b*x + a)^(3/2)*b)","A",0
163,1,45,0,0.240626," ","integrate(1/x/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{2}} + \frac{2 \, {\left(3 \, b x + 4 \, a\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2}}"," ",0,"2*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^2) + 2/3*(3*b*x + 4*a)/((b*x + a)^(3/2)*a^2)","A",0
164,1,65,0,0.216965," ","integrate(1/x^2/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","-\frac{5 \, b \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{\sqrt{-a} a^{3}} - \frac{2 \, {\left(6 \, {\left(b x + a\right)} b + a b\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3}} - \frac{\sqrt{b x + a}}{a^{3} x}"," ",0,"-5*b*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^3) - 2/3*(6*(b*x + a)*b + a*b)/((b*x + a)^(3/2)*a^3) - sqrt(b*x + a)/(a^3*x)","A",0
165,1,93,0,0.176262," ","integrate(1/x^3/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{35 \, b^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{4 \, \sqrt{-a} a^{4}} + \frac{2 \, {\left(9 \, {\left(b x + a\right)} b^{2} + a b^{2}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{4}} + \frac{11 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{2} - 13 \, \sqrt{b x + a} a b^{2}}{4 \, a^{4} b^{2} x^{2}}"," ",0,"35/4*b^2*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^4) + 2/3*(9*(b*x + a)*b^2 + a*b^2)/((b*x + a)^(3/2)*a^4) + 1/4*(11*(b*x + a)^(3/2)*b^2 - 13*sqrt(b*x + a)*a*b^2)/(a^4*b^2*x^2)","A",0
166,1,115,0,0.223384," ","integrate(1/x^4/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","-\frac{105 \, b^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right)}{8 \, \sqrt{-a} a^{5}} - \frac{315 \, {\left(b x + a\right)}^{4} b^{3} - 840 \, {\left(b x + a\right)}^{3} a b^{3} + 693 \, {\left(b x + a\right)}^{2} a^{2} b^{3} - 144 \, {\left(b x + a\right)} a^{3} b^{3} - 16 \, a^{4} b^{3}}{24 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} - \sqrt{b x + a} a\right)}^{3} a^{5}}"," ",0,"-105/8*b^3*arctan(sqrt(b*x + a)/sqrt(-a))/(sqrt(-a)*a^5) - 1/24*(315*(b*x + a)^4*b^3 - 840*(b*x + a)^3*a*b^3 + 693*(b*x + a)^2*a^2*b^3 - 144*(b*x + a)*a^3*b^3 - 16*a^4*b^3)/(((b*x + a)^(3/2) - sqrt(b*x + a)*a)^3*a^5)","A",0
167,1,13,0,0.184644," ","integrate(x^(7/2)*arctanh(tanh(b*x+a)),x, algorithm=""giac"")","\frac{2}{11} \, b x^{\frac{11}{2}} + \frac{2}{9} \, a x^{\frac{9}{2}}"," ",0,"2/11*b*x^(11/2) + 2/9*a*x^(9/2)","A",0
168,1,13,0,0.253076," ","integrate(x^(5/2)*arctanh(tanh(b*x+a)),x, algorithm=""giac"")","\frac{2}{9} \, b x^{\frac{9}{2}} + \frac{2}{7} \, a x^{\frac{7}{2}}"," ",0,"2/9*b*x^(9/2) + 2/7*a*x^(7/2)","A",0
169,1,13,0,0.147138," ","integrate(x^(3/2)*arctanh(tanh(b*x+a)),x, algorithm=""giac"")","\frac{2}{7} \, b x^{\frac{7}{2}} + \frac{2}{5} \, a x^{\frac{5}{2}}"," ",0,"2/7*b*x^(7/2) + 2/5*a*x^(5/2)","A",0
170,1,13,0,1.503583," ","integrate(arctanh(tanh(b*x+a))*x^(1/2),x, algorithm=""giac"")","\frac{2}{5} \, b x^{\frac{5}{2}} + \frac{2}{3} \, a x^{\frac{3}{2}}"," ",0,"2/5*b*x^(5/2) + 2/3*a*x^(3/2)","A",0
171,1,13,0,0.211475," ","integrate(arctanh(tanh(b*x+a))/x^(1/2),x, algorithm=""giac"")","\frac{2}{3} \, b x^{\frac{3}{2}} + 2 \, a \sqrt{x}"," ",0,"2/3*b*x^(3/2) + 2*a*sqrt(x)","A",0
172,1,13,0,0.193176," ","integrate(arctanh(tanh(b*x+a))/x^(3/2),x, algorithm=""giac"")","2 \, b \sqrt{x} - \frac{2 \, a}{\sqrt{x}}"," ",0,"2*b*sqrt(x) - 2*a/sqrt(x)","A",0
173,1,11,0,0.167453," ","integrate(arctanh(tanh(b*x+a))/x^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, b x + a\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"-2/3*(3*b*x + a)/x^(3/2)","A",0
174,1,13,0,0.220645," ","integrate(arctanh(tanh(b*x+a))/x^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left(5 \, b x + 3 \, a\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"-2/15*(5*b*x + 3*a)/x^(5/2)","A",0
175,1,24,0,0.178377," ","integrate(x^(7/2)*arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\frac{2}{13} \, b^{2} x^{\frac{13}{2}} + \frac{4}{11} \, a b x^{\frac{11}{2}} + \frac{2}{9} \, a^{2} x^{\frac{9}{2}}"," ",0,"2/13*b^2*x^(13/2) + 4/11*a*b*x^(11/2) + 2/9*a^2*x^(9/2)","A",0
176,1,24,0,0.218175," ","integrate(x^(5/2)*arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\frac{2}{11} \, b^{2} x^{\frac{11}{2}} + \frac{4}{9} \, a b x^{\frac{9}{2}} + \frac{2}{7} \, a^{2} x^{\frac{7}{2}}"," ",0,"2/11*b^2*x^(11/2) + 4/9*a*b*x^(9/2) + 2/7*a^2*x^(7/2)","A",0
177,1,24,0,0.151308," ","integrate(x^(3/2)*arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\frac{2}{9} \, b^{2} x^{\frac{9}{2}} + \frac{4}{7} \, a b x^{\frac{7}{2}} + \frac{2}{5} \, a^{2} x^{\frac{5}{2}}"," ",0,"2/9*b^2*x^(9/2) + 4/7*a*b*x^(7/2) + 2/5*a^2*x^(5/2)","A",0
178,1,24,0,0.741977," ","integrate(arctanh(tanh(b*x+a))^2*x^(1/2),x, algorithm=""giac"")","\frac{2}{7} \, b^{2} x^{\frac{7}{2}} + \frac{4}{5} \, a b x^{\frac{5}{2}} + \frac{2}{3} \, a^{2} x^{\frac{3}{2}}"," ",0,"2/7*b^2*x^(7/2) + 4/5*a*b*x^(5/2) + 2/3*a^2*x^(3/2)","A",0
179,1,24,0,0.164766," ","integrate(arctanh(tanh(b*x+a))^2/x^(1/2),x, algorithm=""giac"")","\frac{2}{5} \, b^{2} x^{\frac{5}{2}} + \frac{4}{3} \, a b x^{\frac{3}{2}} + 2 \, a^{2} \sqrt{x}"," ",0,"2/5*b^2*x^(5/2) + 4/3*a*b*x^(3/2) + 2*a^2*sqrt(x)","A",0
180,1,24,0,0.205950," ","integrate(arctanh(tanh(b*x+a))^2/x^(3/2),x, algorithm=""giac"")","\frac{2}{3} \, b^{2} x^{\frac{3}{2}} + 4 \, a b \sqrt{x} - \frac{2 \, a^{2}}{\sqrt{x}}"," ",0,"2/3*b^2*x^(3/2) + 4*a*b*sqrt(x) - 2*a^2/sqrt(x)","A",0
181,1,23,0,0.171492," ","integrate(arctanh(tanh(b*x+a))^2/x^(5/2),x, algorithm=""giac"")","2 \, b^{2} \sqrt{x} - \frac{2 \, {\left(6 \, a b x + a^{2}\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2*b^2*sqrt(x) - 2/3*(6*a*b*x + a^2)/x^(3/2)","A",0
182,1,24,0,0.245670," ","integrate(arctanh(tanh(b*x+a))^2/x^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, b^{2} x^{2} + 10 \, a b x + 3 \, a^{2}\right)}}{15 \, x^{\frac{5}{2}}}"," ",0,"-2/15*(15*b^2*x^2 + 10*a*b*x + 3*a^2)/x^(5/2)","A",0
183,1,35,0,0.418347," ","integrate(x^(7/2)*arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\frac{2}{15} \, b^{3} x^{\frac{15}{2}} + \frac{6}{13} \, a b^{2} x^{\frac{13}{2}} + \frac{6}{11} \, a^{2} b x^{\frac{11}{2}} + \frac{2}{9} \, a^{3} x^{\frac{9}{2}}"," ",0,"2/15*b^3*x^(15/2) + 6/13*a*b^2*x^(13/2) + 6/11*a^2*b*x^(11/2) + 2/9*a^3*x^(9/2)","A",0
184,1,35,0,0.204496," ","integrate(x^(5/2)*arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\frac{2}{13} \, b^{3} x^{\frac{13}{2}} + \frac{6}{11} \, a b^{2} x^{\frac{11}{2}} + \frac{2}{3} \, a^{2} b x^{\frac{9}{2}} + \frac{2}{7} \, a^{3} x^{\frac{7}{2}}"," ",0,"2/13*b^3*x^(13/2) + 6/11*a*b^2*x^(11/2) + 2/3*a^2*b*x^(9/2) + 2/7*a^3*x^(7/2)","A",0
185,1,35,0,0.184170," ","integrate(x^(3/2)*arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\frac{2}{11} \, b^{3} x^{\frac{11}{2}} + \frac{2}{3} \, a b^{2} x^{\frac{9}{2}} + \frac{6}{7} \, a^{2} b x^{\frac{7}{2}} + \frac{2}{5} \, a^{3} x^{\frac{5}{2}}"," ",0,"2/11*b^3*x^(11/2) + 2/3*a*b^2*x^(9/2) + 6/7*a^2*b*x^(7/2) + 2/5*a^3*x^(5/2)","A",0
186,1,35,0,0.157208," ","integrate(arctanh(tanh(b*x+a))^3*x^(1/2),x, algorithm=""giac"")","\frac{2}{9} \, b^{3} x^{\frac{9}{2}} + \frac{6}{7} \, a b^{2} x^{\frac{7}{2}} + \frac{6}{5} \, a^{2} b x^{\frac{5}{2}} + \frac{2}{3} \, a^{3} x^{\frac{3}{2}}"," ",0,"2/9*b^3*x^(9/2) + 6/7*a*b^2*x^(7/2) + 6/5*a^2*b*x^(5/2) + 2/3*a^3*x^(3/2)","A",0
187,1,35,0,0.294375," ","integrate(arctanh(tanh(b*x+a))^3/x^(1/2),x, algorithm=""giac"")","\frac{2}{7} \, b^{3} x^{\frac{7}{2}} + \frac{6}{5} \, a b^{2} x^{\frac{5}{2}} + 2 \, a^{2} b x^{\frac{3}{2}} + 2 \, a^{3} \sqrt{x}"," ",0,"2/7*b^3*x^(7/2) + 6/5*a*b^2*x^(5/2) + 2*a^2*b*x^(3/2) + 2*a^3*sqrt(x)","A",0
188,1,35,0,0.416666," ","integrate(arctanh(tanh(b*x+a))^3/x^(3/2),x, algorithm=""giac"")","\frac{2}{5} \, b^{3} x^{\frac{5}{2}} + 2 \, a b^{2} x^{\frac{3}{2}} + 6 \, a^{2} b \sqrt{x} - \frac{2 \, a^{3}}{\sqrt{x}}"," ",0,"2/5*b^3*x^(5/2) + 2*a*b^2*x^(3/2) + 6*a^2*b*sqrt(x) - 2*a^3/sqrt(x)","A",0
189,1,34,0,0.162553," ","integrate(arctanh(tanh(b*x+a))^3/x^(5/2),x, algorithm=""giac"")","\frac{2}{3} \, b^{3} x^{\frac{3}{2}} + 6 \, a b^{2} \sqrt{x} - \frac{2 \, {\left(9 \, a^{2} b x + a^{3}\right)}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/3*b^3*x^(3/2) + 6*a*b^2*sqrt(x) - 2/3*(9*a^2*b*x + a^3)/x^(3/2)","A",0
190,1,34,0,0.170171," ","integrate(arctanh(tanh(b*x+a))^3/x^(7/2),x, algorithm=""giac"")","2 \, b^{3} \sqrt{x} - \frac{2 \, {\left(15 \, a b^{2} x^{2} + 5 \, a^{2} b x + a^{3}\right)}}{5 \, x^{\frac{5}{2}}}"," ",0,"2*b^3*sqrt(x) - 2/5*(15*a*b^2*x^2 + 5*a^2*b*x + a^3)/x^(5/2)","A",0
191,1,70,0,0.141961," ","integrate(x^(7/2)/arctanh(tanh(b*x+a)),x, algorithm=""giac"")","\frac{2 \, a^{4} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{4}} + \frac{2 \, {\left(15 \, b^{6} x^{\frac{7}{2}} - 21 \, a b^{5} x^{\frac{5}{2}} + 35 \, a^{2} b^{4} x^{\frac{3}{2}} - 105 \, a^{3} b^{3} \sqrt{x}\right)}}{105 \, b^{7}}"," ",0,"2*a^4*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^4) + 2/105*(15*b^6*x^(7/2) - 21*a*b^5*x^(5/2) + 35*a^2*b^4*x^(3/2) - 105*a^3*b^3*sqrt(x))/b^7","A",0
192,1,59,0,0.145167," ","integrate(x^(5/2)/arctanh(tanh(b*x+a)),x, algorithm=""giac"")","-\frac{2 \, a^{3} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{3}} + \frac{2 \, {\left(3 \, b^{4} x^{\frac{5}{2}} - 5 \, a b^{3} x^{\frac{3}{2}} + 15 \, a^{2} b^{2} \sqrt{x}\right)}}{15 \, b^{5}}"," ",0,"-2*a^3*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) + 2/15*(3*b^4*x^(5/2) - 5*a*b^3*x^(3/2) + 15*a^2*b^2*sqrt(x))/b^5","A",0
193,1,45,0,0.183386," ","integrate(x^(3/2)/arctanh(tanh(b*x+a)),x, algorithm=""giac"")","\frac{2 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}} + \frac{2 \, {\left(b^{2} x^{\frac{3}{2}} - 3 \, a b \sqrt{x}\right)}}{3 \, b^{3}}"," ",0,"2*a^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2) + 2/3*(b^2*x^(3/2) - 3*a*b*sqrt(x))/b^3","A",0
194,1,31,0,0.141060," ","integrate(x^(1/2)/arctanh(tanh(b*x+a)),x, algorithm=""giac"")","-\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
195,1,18,0,0.157180," ","integrate(1/arctanh(tanh(b*x+a))/x^(1/2),x, algorithm=""giac"")","\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
196,1,31,0,0.159464," ","integrate(1/x^(3/2)/arctanh(tanh(b*x+a)),x, algorithm=""giac"")","-\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
197,1,41,0,0.188430," ","integrate(1/x^(5/2)/arctanh(tanh(b*x+a)),x, algorithm=""giac"")","\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
198,1,52,0,0.167449," ","integrate(1/x^(7/2)/arctanh(tanh(b*x+a)),x, algorithm=""giac"")","-\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
199,1,76,0,0.161013," ","integrate(x^(7/2)/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","-\frac{7 \, a^{3} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{4}} + \frac{a^{3} \sqrt{x}}{{\left(b x + a\right)} b^{4}} + \frac{2 \, {\left(3 \, b^{8} x^{\frac{5}{2}} - 10 \, a b^{7} x^{\frac{3}{2}} + 45 \, a^{2} b^{6} \sqrt{x}\right)}}{15 \, b^{10}}"," ",0,"-7*a^3*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^4) + a^3*sqrt(x)/((b*x + a)*b^4) + 2/15*(3*b^8*x^(5/2) - 10*a*b^7*x^(3/2) + 45*a^2*b^6*sqrt(x))/b^10","A",0
200,1,65,0,0.190838," ","integrate(x^(5/2)/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\frac{5 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{3}} - \frac{a^{2} \sqrt{x}}{{\left(b x + a\right)} b^{3}} + \frac{2 \, {\left(b^{4} x^{\frac{3}{2}} - 6 \, a b^{3} \sqrt{x}\right)}}{3 \, b^{6}}"," ",0,"5*a^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) - a^2*sqrt(x)/((b*x + a)*b^3) + 2/3*(b^4*x^(3/2) - 6*a*b^3*sqrt(x))/b^6","A",0
201,1,46,0,0.521237," ","integrate(x^(3/2)/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","-\frac{3 \, a \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}} + \frac{a \sqrt{x}}{{\left(b x + a\right)} b^{2}} + \frac{2 \, \sqrt{x}}{b^{2}}"," ",0,"-3*a*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2) + a*sqrt(x)/((b*x + a)*b^2) + 2*sqrt(x)/b^2","A",0
202,1,36,0,0.176424," ","integrate(x^(1/2)/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} b} - \frac{\sqrt{x}}{{\left(b x + a\right)} b}"," ",0,"arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b) - sqrt(x)/((b*x + a)*b)","A",0
203,1,35,0,0.249759," ","integrate(1/arctanh(tanh(b*x+a))^2/x^(1/2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a} + \frac{\sqrt{x}}{{\left(b x + a\right)} a}"," ",0,"arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a) + sqrt(x)/((b*x + a)*a)","A",0
204,1,49,0,0.162643," ","integrate(1/x^(3/2)/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","-\frac{3 \, b \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}} - \frac{3 \, b x + 2 \, a}{{\left(b x^{\frac{3}{2}} + a \sqrt{x}\right)} a^{2}}"," ",0,"-3*b*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2) - (3*b*x + 2*a)/((b*x^(3/2) + a*sqrt(x))*a^2)","A",0
205,1,58,0,0.178864," ","integrate(1/x^(5/2)/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","\frac{5 \, b^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{3}} + \frac{b^{2} \sqrt{x}}{{\left(b x + a\right)} a^{3}} + \frac{2 \, {\left(6 \, b x - a\right)}}{3 \, a^{3} x^{\frac{3}{2}}}"," ",0,"5*b^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3) + b^2*sqrt(x)/((b*x + a)*a^3) + 2/3*(6*b*x - a)/(a^3*x^(3/2))","A",0
206,1,70,0,0.508998," ","integrate(1/x^(7/2)/arctanh(tanh(b*x+a))^2,x, algorithm=""giac"")","-\frac{7 \, b^{3} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b} a^{4}} - \frac{b^{3} \sqrt{x}}{{\left(b x + a\right)} a^{4}} - \frac{2 \, {\left(45 \, b^{2} x^{2} - 10 \, a b x + 3 \, a^{2}\right)}}{15 \, a^{4} x^{\frac{5}{2}}}"," ",0,"-7*b^3*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^4) - b^3*sqrt(x)/((b*x + a)*a^4) - 2/15*(45*b^2*x^2 - 10*a*b*x + 3*a^2)/(a^4*x^(5/2))","A",0
207,1,77,0,0.162877," ","integrate(x^(7/2)/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\frac{35 \, a^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{4}} - \frac{13 \, a^{2} b x^{\frac{3}{2}} + 11 \, a^{3} \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} b^{4}} + \frac{2 \, {\left(b^{6} x^{\frac{3}{2}} - 9 \, a b^{5} \sqrt{x}\right)}}{3 \, b^{9}}"," ",0,"35/4*a^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^4) - 1/4*(13*a^2*b*x^(3/2) + 11*a^3*sqrt(x))/((b*x + a)^2*b^4) + 2/3*(b^6*x^(3/2) - 9*a*b^5*sqrt(x))/b^9","A",0
208,1,59,0,0.206887," ","integrate(x^(5/2)/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","-\frac{15 \, a \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{3}} + \frac{2 \, \sqrt{x}}{b^{3}} + \frac{9 \, a b x^{\frac{3}{2}} + 7 \, a^{2} \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} b^{3}}"," ",0,"-15/4*a*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^3) + 2*sqrt(x)/b^3 + 1/4*(9*a*b*x^(3/2) + 7*a^2*sqrt(x))/((b*x + a)^2*b^3)","A",0
209,1,47,0,0.171140," ","integrate(x^(3/2)/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\frac{3 \, \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} b^{2}} - \frac{5 \, b x^{\frac{3}{2}} + 3 \, a \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} b^{2}}"," ",0,"3/4*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*b^2) - 1/4*(5*b*x^(3/2) + 3*a*sqrt(x))/((b*x + a)^2*b^2)","A",0
210,1,52,0,0.208066," ","integrate(x^(1/2)/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\frac{\arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a b} + \frac{b x^{\frac{3}{2}} - a \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} a b}"," ",0,"1/4*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a*b) + 1/4*(b*x^(3/2) - a*sqrt(x))/((b*x + a)^2*a*b)","A",0
211,1,47,0,0.175066," ","integrate(1/arctanh(tanh(b*x+a))^3/x^(1/2),x, algorithm=""giac"")","\frac{3 \, \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{2}} + \frac{3 \, b x^{\frac{3}{2}} + 5 \, a \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} a^{2}}"," ",0,"3/4*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^2) + 1/4*(3*b*x^(3/2) + 5*a*sqrt(x))/((b*x + a)^2*a^2)","A",0
212,1,59,0,0.296204," ","integrate(1/x^(3/2)/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","-\frac{15 \, b \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{3}} - \frac{2}{a^{3} \sqrt{x}} - \frac{7 \, b^{2} x^{\frac{3}{2}} + 9 \, a b \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} a^{3}}"," ",0,"-15/4*b*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^3) - 2/(a^3*sqrt(x)) - 1/4*(7*b^2*x^(3/2) + 9*a*b*sqrt(x))/((b*x + a)^2*a^3)","A",0
213,1,71,0,0.431401," ","integrate(1/x^(5/2)/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","\frac{35 \, b^{2} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{4}} + \frac{2 \, {\left(9 \, b x - a\right)}}{3 \, a^{4} x^{\frac{3}{2}}} + \frac{11 \, b^{3} x^{\frac{3}{2}} + 13 \, a b^{2} \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} a^{4}}"," ",0,"35/4*b^2*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^4) + 2/3*(9*b*x - a)/(a^4*x^(3/2)) + 1/4*(11*b^3*x^(3/2) + 13*a*b^2*sqrt(x))/((b*x + a)^2*a^4)","A",0
214,1,80,0,0.204808," ","integrate(1/x^(7/2)/arctanh(tanh(b*x+a))^3,x, algorithm=""giac"")","-\frac{63 \, b^{3} \arctan\left(\frac{b \sqrt{x}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a^{5}} - \frac{15 \, b^{4} x^{\frac{3}{2}} + 17 \, a b^{3} \sqrt{x}}{4 \, {\left(b x + a\right)}^{2} a^{5}} - \frac{2 \, {\left(30 \, b^{2} x^{2} - 5 \, a b x + a^{2}\right)}}{5 \, a^{5} x^{\frac{5}{2}}}"," ",0,"-63/4*b^3*arctan(b*sqrt(x)/sqrt(a*b))/(sqrt(a*b)*a^5) - 1/4*(15*b^4*x^(3/2) + 17*a*b^3*sqrt(x))/((b*x + a)^2*a^5) - 2/5*(30*b^2*x^2 - 5*a*b*x + a^2)/(a^5*x^(5/2))","A",0
215,1,60,0,0.174223," ","integrate(x^(3/2)*arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{1}{24} \, \sqrt{b x + a} {\left(2 \, {\left(4 \, x + \frac{a}{b}\right)} x - \frac{3 \, a^{2}}{b^{2}}\right)} \sqrt{x} - \frac{a^{3} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{8 \, b^{\frac{5}{2}}}"," ",0,"1/24*sqrt(b*x + a)*(2*(4*x + a/b)*x - 3*a^2/b^2)*sqrt(x) - 1/8*a^3*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(5/2)","A",0
216,1,48,0,0.180465," ","integrate(x^(1/2)*arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{b x + a} {\left(2 \, x + \frac{a}{b}\right)} \sqrt{x} + \frac{a^{2} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{4 \, b^{\frac{3}{2}}}"," ",0,"1/4*sqrt(b*x + a)*(2*x + a/b)*sqrt(x) + 1/4*a^2*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(3/2)","A",0
217,1,36,0,0.463810," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^(1/2),x, algorithm=""giac"")","-\frac{a \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{\sqrt{b}} + \sqrt{b x + a} \sqrt{x}"," ",0,"-a*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/sqrt(b) + sqrt(b*x + a)*sqrt(x)","A",0
218,1,57,0,0.228448," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^(3/2),x, algorithm=""giac"")","-\sqrt{b} \log\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2}\right) + \frac{4 \, a \sqrt{b}}{{\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a}"," ",0,"-sqrt(b)*log((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2) + 4*a*sqrt(b)/((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)","A",0
219,1,59,0,0.198711," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^(5/2),x, algorithm=""giac"")","\frac{4 \, {\left(3 \, b^{\frac{3}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{4} + a^{2} b^{\frac{3}{2}}\right)}}{3 \, {\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)}^{3}}"," ",0,"4/3*(3*b^(3/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^4 + a^2*b^(3/2))/((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)^3","B",0
220,1,112,0,0.187818," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^(7/2),x, algorithm=""giac"")","\frac{8 \, {\left(15 \, b^{\frac{5}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{6} + 5 \, a b^{\frac{5}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{4} + 5 \, a^{2} b^{\frac{5}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a^{3} b^{\frac{5}{2}}\right)}}{15 \, {\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)}^{5}}"," ",0,"8/15*(15*b^(5/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^6 + 5*a*b^(5/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^4 + 5*a^2*b^(5/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a^3*b^(5/2))/((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)^5","A",0
221,1,138,0,0.201940," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^(9/2),x, algorithm=""giac"")","\frac{32 \, {\left(70 \, b^{\frac{7}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{8} + 35 \, a b^{\frac{7}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{6} + 21 \, a^{2} b^{\frac{7}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{4} - 7 \, a^{3} b^{\frac{7}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} + a^{4} b^{\frac{7}{2}}\right)}}{105 \, {\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)}^{7}}"," ",0,"32/105*(70*b^(7/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^8 + 35*a*b^(7/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^6 + 21*a^2*b^(7/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^4 - 7*a^3*b^(7/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 + a^4*b^(7/2))/((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)^7","A",0
222,1,166,0,0.196132," ","integrate(arctanh(tanh(b*x+a))^(1/2)/x^(11/2),x, algorithm=""giac"")","\frac{64 \, {\left(315 \, b^{\frac{9}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{10} + 189 \, a b^{\frac{9}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{8} + 84 \, a^{2} b^{\frac{9}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{6} - 36 \, a^{3} b^{\frac{9}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{4} + 9 \, a^{4} b^{\frac{9}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a^{5} b^{\frac{9}{2}}\right)}}{315 \, {\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)}^{9}}"," ",0,"64/315*(315*b^(9/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^10 + 189*a*b^(9/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^8 + 84*a^2*b^(9/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^6 - 36*a^3*b^(9/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^4 + 9*a^4*b^(9/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a^5*b^(9/2))/((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)^9","A",0
223,1,147,0,0.721305," ","integrate(x^(3/2)*arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{1}{384} \, \sqrt{2} {\left(8 \, \sqrt{2} {\left(\sqrt{b x + a} {\left(2 \, {\left(4 \, x + \frac{a}{b}\right)} x - \frac{3 \, a^{2}}{b^{2}}\right)} \sqrt{x} - \frac{3 \, a^{3} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{b^{\frac{5}{2}}}\right)} a + \sqrt{2} {\left({\left(2 \, {\left(4 \, {\left(6 \, x + \frac{a}{b}\right)} x - \frac{5 \, a^{2}}{b^{2}}\right)} x + \frac{15 \, a^{3}}{b^{3}}\right)} \sqrt{b x + a} \sqrt{x} + \frac{15 \, a^{4} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{b^{\frac{7}{2}}}\right)} b\right)}"," ",0,"1/384*sqrt(2)*(8*sqrt(2)*(sqrt(b*x + a)*(2*(4*x + a/b)*x - 3*a^2/b^2)*sqrt(x) - 3*a^3*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(5/2))*a + sqrt(2)*((2*(4*(6*x + a/b)*x - 5*a^2/b^2)*x + 15*a^3/b^3)*sqrt(b*x + a)*sqrt(x) + 15*a^4*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(7/2))*b)","A",0
224,1,122,0,0.323654," ","integrate(x^(1/2)*arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{1}{48} \, \sqrt{2} {\left(6 \, \sqrt{2} {\left(\sqrt{b x + a} {\left(2 \, x + \frac{a}{b}\right)} \sqrt{x} + \frac{a^{2} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{b^{\frac{3}{2}}}\right)} a + \sqrt{2} {\left(\sqrt{b x + a} {\left(2 \, {\left(4 \, x + \frac{a}{b}\right)} x - \frac{3 \, a^{2}}{b^{2}}\right)} \sqrt{x} - \frac{3 \, a^{3} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{b^{\frac{5}{2}}}\right)} b\right)}"," ",0,"1/48*sqrt(2)*(6*sqrt(2)*(sqrt(b*x + a)*(2*x + a/b)*sqrt(x) + a^2*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(3/2))*a + sqrt(2)*(sqrt(b*x + a)*(2*(4*x + a/b)*x - 3*a^2/b^2)*sqrt(x) - 3*a^3*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(5/2))*b)","A",0
225,-2,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-4,[0,1,1]%%%}+%%%{-4,[0,1,0]%%%}+%%%{-4,[0,0,1]%%%},0,%%%{6,[2,0,0]%%%}+%%%{12,[1,1,1]%%%}+%%%{4,[1,1,0]%%%}+%%%{4,[1,0,1]%%%}+%%%{6,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{6,[0,2,0]%%%}+%%%{4,[0,1,2]%%%}+%%%{4,[0,1,1]%%%}+%%%{6,[0,0,2]%%%},0,%%%{-4,[3,0,0]%%%}+%%%{-12,[2,1,1]%%%}+%%%{4,[2,1,0]%%%}+%%%{4,[2,0,1]%%%}+%%%{-12,[1,2,2]%%%}+%%%{8,[1,2,1]%%%}+%%%{4,[1,2,0]%%%}+%%%{8,[1,1,2]%%%}+%%%{-40,[1,1,1]%%%}+%%%{4,[1,0,2]%%%}+%%%{-4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{4,[0,3,1]%%%}+%%%{-4,[0,3,0]%%%}+%%%{4,[0,2,3]%%%}+%%%{-40,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{4,[0,1,3]%%%}+%%%{4,[0,1,2]%%%}+%%%{-4,[0,0,3]%%%},0,%%%{1,[4,0,0]%%%}+%%%{4,[3,1,1]%%%}+%%%{-4,[3,1,0]%%%}+%%%{-4,[3,0,1]%%%}+%%%{6,[2,2,2]%%%}+%%%{-12,[2,2,1]%%%}+%%%{6,[2,2,0]%%%}+%%%{-12,[2,1,2]%%%}+%%%{4,[2,1,1]%%%}+%%%{6,[2,0,2]%%%}+%%%{4,[1,3,3]%%%}+%%%{-12,[1,3,2]%%%}+%%%{12,[1,3,1]%%%}+%%%{-4,[1,3,0]%%%}+%%%{-12,[1,2,3]%%%}+%%%{8,[1,2,2]%%%}+%%%{4,[1,2,1]%%%}+%%%{12,[1,1,3]%%%}+%%%{4,[1,1,2]%%%}+%%%{-4,[1,0,3]%%%}+%%%{1,[0,4,4]%%%}+%%%{-4,[0,4,3]%%%}+%%%{6,[0,4,2]%%%}+%%%{-4,[0,4,1]%%%}+%%%{1,[0,4,0]%%%}+%%%{-4,[0,3,4]%%%}+%%%{4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{-4,[0,3,1]%%%}+%%%{6,[0,2,4]%%%}+%%%{4,[0,2,3]%%%}+%%%{6,[0,2,2]%%%}+%%%{-4,[0,1,4]%%%}+%%%{-4,[0,1,3]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [0,85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-4,[0,1,1]%%%}+%%%{-4,[0,1,0]%%%}+%%%{-4,[0,0,1]%%%},0,%%%{6,[2,0,0]%%%}+%%%{12,[1,1,1]%%%}+%%%{4,[1,1,0]%%%}+%%%{4,[1,0,1]%%%}+%%%{6,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{6,[0,2,0]%%%}+%%%{4,[0,1,2]%%%}+%%%{4,[0,1,1]%%%}+%%%{6,[0,0,2]%%%},0,%%%{-4,[3,0,0]%%%}+%%%{-12,[2,1,1]%%%}+%%%{4,[2,1,0]%%%}+%%%{4,[2,0,1]%%%}+%%%{-12,[1,2,2]%%%}+%%%{8,[1,2,1]%%%}+%%%{4,[1,2,0]%%%}+%%%{8,[1,1,2]%%%}+%%%{-40,[1,1,1]%%%}+%%%{4,[1,0,2]%%%}+%%%{-4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{4,[0,3,1]%%%}+%%%{-4,[0,3,0]%%%}+%%%{4,[0,2,3]%%%}+%%%{-40,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{4,[0,1,3]%%%}+%%%{4,[0,1,2]%%%}+%%%{-4,[0,0,3]%%%},0,%%%{1,[4,0,0]%%%}+%%%{4,[3,1,1]%%%}+%%%{-4,[3,1,0]%%%}+%%%{-4,[3,0,1]%%%}+%%%{6,[2,2,2]%%%}+%%%{-12,[2,2,1]%%%}+%%%{6,[2,2,0]%%%}+%%%{-12,[2,1,2]%%%}+%%%{4,[2,1,1]%%%}+%%%{6,[2,0,2]%%%}+%%%{4,[1,3,3]%%%}+%%%{-12,[1,3,2]%%%}+%%%{12,[1,3,1]%%%}+%%%{-4,[1,3,0]%%%}+%%%{-12,[1,2,3]%%%}+%%%{8,[1,2,2]%%%}+%%%{4,[1,2,1]%%%}+%%%{12,[1,1,3]%%%}+%%%{4,[1,1,2]%%%}+%%%{-4,[1,0,3]%%%}+%%%{1,[0,4,4]%%%}+%%%{-4,[0,4,3]%%%}+%%%{6,[0,4,2]%%%}+%%%{-4,[0,4,1]%%%}+%%%{1,[0,4,0]%%%}+%%%{-4,[0,3,4]%%%}+%%%{4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{-4,[0,3,1]%%%}+%%%{6,[0,2,4]%%%}+%%%{4,[0,2,3]%%%}+%%%{6,[0,2,2]%%%}+%%%{-4,[0,1,4]%%%}+%%%{-4,[0,1,3]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [0,71.707969239,78.6493344628]sqrt(2)/2/2/abs(b)*b^2/b*(2*(1/sqrt(2)/b*sqrt(a+b*x)*sqrt(a+b*x)+3*a/2/sqrt(2)/b)*sqrt(a+b*x)*sqrt(-a*b+b*(a+b*x))-6*a^2/2/sqrt(2)/sqrt(b)*ln(abs(sqrt(-a*b+b*(a+b*x))-sqrt(b)*sqrt(a+b*x))))","F(-2)",0
226,-2,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-4,[0,1,1]%%%}+%%%{-4,[0,1,0]%%%}+%%%{-4,[0,0,1]%%%},0,%%%{6,[2,0,0]%%%}+%%%{12,[1,1,1]%%%}+%%%{4,[1,1,0]%%%}+%%%{4,[1,0,1]%%%}+%%%{6,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{6,[0,2,0]%%%}+%%%{4,[0,1,2]%%%}+%%%{4,[0,1,1]%%%}+%%%{6,[0,0,2]%%%},0,%%%{-4,[3,0,0]%%%}+%%%{-12,[2,1,1]%%%}+%%%{4,[2,1,0]%%%}+%%%{4,[2,0,1]%%%}+%%%{-12,[1,2,2]%%%}+%%%{8,[1,2,1]%%%}+%%%{4,[1,2,0]%%%}+%%%{8,[1,1,2]%%%}+%%%{-40,[1,1,1]%%%}+%%%{4,[1,0,2]%%%}+%%%{-4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{4,[0,3,1]%%%}+%%%{-4,[0,3,0]%%%}+%%%{4,[0,2,3]%%%}+%%%{-40,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{4,[0,1,3]%%%}+%%%{4,[0,1,2]%%%}+%%%{-4,[0,0,3]%%%},0,%%%{1,[4,0,0]%%%}+%%%{4,[3,1,1]%%%}+%%%{-4,[3,1,0]%%%}+%%%{-4,[3,0,1]%%%}+%%%{6,[2,2,2]%%%}+%%%{-12,[2,2,1]%%%}+%%%{6,[2,2,0]%%%}+%%%{-12,[2,1,2]%%%}+%%%{4,[2,1,1]%%%}+%%%{6,[2,0,2]%%%}+%%%{4,[1,3,3]%%%}+%%%{-12,[1,3,2]%%%}+%%%{12,[1,3,1]%%%}+%%%{-4,[1,3,0]%%%}+%%%{-12,[1,2,3]%%%}+%%%{8,[1,2,2]%%%}+%%%{4,[1,2,1]%%%}+%%%{12,[1,1,3]%%%}+%%%{4,[1,1,2]%%%}+%%%{-4,[1,0,3]%%%}+%%%{1,[0,4,4]%%%}+%%%{-4,[0,4,3]%%%}+%%%{6,[0,4,2]%%%}+%%%{-4,[0,4,1]%%%}+%%%{1,[0,4,0]%%%}+%%%{-4,[0,3,4]%%%}+%%%{4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{-4,[0,3,1]%%%}+%%%{6,[0,2,4]%%%}+%%%{4,[0,2,3]%%%}+%%%{6,[0,2,2]%%%}+%%%{-4,[0,1,4]%%%}+%%%{-4,[0,1,3]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [0,85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-4,[0,1,1]%%%}+%%%{-4,[0,1,0]%%%}+%%%{-4,[0,0,1]%%%},0,%%%{6,[2,0,0]%%%}+%%%{12,[1,1,1]%%%}+%%%{4,[1,1,0]%%%}+%%%{4,[1,0,1]%%%}+%%%{6,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{6,[0,2,0]%%%}+%%%{4,[0,1,2]%%%}+%%%{4,[0,1,1]%%%}+%%%{6,[0,0,2]%%%},0,%%%{-4,[3,0,0]%%%}+%%%{-12,[2,1,1]%%%}+%%%{4,[2,1,0]%%%}+%%%{4,[2,0,1]%%%}+%%%{-12,[1,2,2]%%%}+%%%{8,[1,2,1]%%%}+%%%{4,[1,2,0]%%%}+%%%{8,[1,1,2]%%%}+%%%{-40,[1,1,1]%%%}+%%%{4,[1,0,2]%%%}+%%%{-4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{4,[0,3,1]%%%}+%%%{-4,[0,3,0]%%%}+%%%{4,[0,2,3]%%%}+%%%{-40,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{4,[0,1,3]%%%}+%%%{4,[0,1,2]%%%}+%%%{-4,[0,0,3]%%%},0,%%%{1,[4,0,0]%%%}+%%%{4,[3,1,1]%%%}+%%%{-4,[3,1,0]%%%}+%%%{-4,[3,0,1]%%%}+%%%{6,[2,2,2]%%%}+%%%{-12,[2,2,1]%%%}+%%%{6,[2,2,0]%%%}+%%%{-12,[2,1,2]%%%}+%%%{4,[2,1,1]%%%}+%%%{6,[2,0,2]%%%}+%%%{4,[1,3,3]%%%}+%%%{-12,[1,3,2]%%%}+%%%{12,[1,3,1]%%%}+%%%{-4,[1,3,0]%%%}+%%%{-12,[1,2,3]%%%}+%%%{8,[1,2,2]%%%}+%%%{4,[1,2,1]%%%}+%%%{12,[1,1,3]%%%}+%%%{4,[1,1,2]%%%}+%%%{-4,[1,0,3]%%%}+%%%{1,[0,4,4]%%%}+%%%{-4,[0,4,3]%%%}+%%%{6,[0,4,2]%%%}+%%%{-4,[0,4,1]%%%}+%%%{1,[0,4,0]%%%}+%%%{-4,[0,3,4]%%%}+%%%{4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{-4,[0,3,1]%%%}+%%%{6,[0,2,4]%%%}+%%%{4,[0,2,3]%%%}+%%%{6,[0,2,2]%%%}+%%%{-4,[0,1,4]%%%}+%%%{-4,[0,1,3]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [0,71.707969239,78.6493344628]sqrt(2)/2/2*b/abs(b)*b^2/b*(2*(sqrt(2)*sqrt(a+b*x)*sqrt(a+b*x)-3*sqrt(2)*a)*sqrt(a+b*x)*sqrt(-a*b+b*(a+b*x))/(-a*b+b*(a+b*x))-6*a*sqrt(2)/sqrt(b)*ln(abs(sqrt(-a*b+b*(a+b*x))-sqrt(b)*sqrt(a+b*x))))","F(-2)",0
227,-2,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-4,[0,1,1]%%%}+%%%{-4,[0,1,0]%%%}+%%%{-4,[0,0,1]%%%},0,%%%{6,[2,0,0]%%%}+%%%{12,[1,1,1]%%%}+%%%{4,[1,1,0]%%%}+%%%{4,[1,0,1]%%%}+%%%{6,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{6,[0,2,0]%%%}+%%%{4,[0,1,2]%%%}+%%%{4,[0,1,1]%%%}+%%%{6,[0,0,2]%%%},0,%%%{-4,[3,0,0]%%%}+%%%{-12,[2,1,1]%%%}+%%%{4,[2,1,0]%%%}+%%%{4,[2,0,1]%%%}+%%%{-12,[1,2,2]%%%}+%%%{8,[1,2,1]%%%}+%%%{4,[1,2,0]%%%}+%%%{8,[1,1,2]%%%}+%%%{-40,[1,1,1]%%%}+%%%{4,[1,0,2]%%%}+%%%{-4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{4,[0,3,1]%%%}+%%%{-4,[0,3,0]%%%}+%%%{4,[0,2,3]%%%}+%%%{-40,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{4,[0,1,3]%%%}+%%%{4,[0,1,2]%%%}+%%%{-4,[0,0,3]%%%},0,%%%{1,[4,0,0]%%%}+%%%{4,[3,1,1]%%%}+%%%{-4,[3,1,0]%%%}+%%%{-4,[3,0,1]%%%}+%%%{6,[2,2,2]%%%}+%%%{-12,[2,2,1]%%%}+%%%{6,[2,2,0]%%%}+%%%{-12,[2,1,2]%%%}+%%%{4,[2,1,1]%%%}+%%%{6,[2,0,2]%%%}+%%%{4,[1,3,3]%%%}+%%%{-12,[1,3,2]%%%}+%%%{12,[1,3,1]%%%}+%%%{-4,[1,3,0]%%%}+%%%{-12,[1,2,3]%%%}+%%%{8,[1,2,2]%%%}+%%%{4,[1,2,1]%%%}+%%%{12,[1,1,3]%%%}+%%%{4,[1,1,2]%%%}+%%%{-4,[1,0,3]%%%}+%%%{1,[0,4,4]%%%}+%%%{-4,[0,4,3]%%%}+%%%{6,[0,4,2]%%%}+%%%{-4,[0,4,1]%%%}+%%%{1,[0,4,0]%%%}+%%%{-4,[0,3,4]%%%}+%%%{4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{-4,[0,3,1]%%%}+%%%{6,[0,2,4]%%%}+%%%{4,[0,2,3]%%%}+%%%{6,[0,2,2]%%%}+%%%{-4,[0,1,4]%%%}+%%%{-4,[0,1,3]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [0,85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-4,[0,1,1]%%%}+%%%{-4,[0,1,0]%%%}+%%%{-4,[0,0,1]%%%},0,%%%{6,[2,0,0]%%%}+%%%{12,[1,1,1]%%%}+%%%{4,[1,1,0]%%%}+%%%{4,[1,0,1]%%%}+%%%{6,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{6,[0,2,0]%%%}+%%%{4,[0,1,2]%%%}+%%%{4,[0,1,1]%%%}+%%%{6,[0,0,2]%%%},0,%%%{-4,[3,0,0]%%%}+%%%{-12,[2,1,1]%%%}+%%%{4,[2,1,0]%%%}+%%%{4,[2,0,1]%%%}+%%%{-12,[1,2,2]%%%}+%%%{8,[1,2,1]%%%}+%%%{4,[1,2,0]%%%}+%%%{8,[1,1,2]%%%}+%%%{-40,[1,1,1]%%%}+%%%{4,[1,0,2]%%%}+%%%{-4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{4,[0,3,1]%%%}+%%%{-4,[0,3,0]%%%}+%%%{4,[0,2,3]%%%}+%%%{-40,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{4,[0,1,3]%%%}+%%%{4,[0,1,2]%%%}+%%%{-4,[0,0,3]%%%},0,%%%{1,[4,0,0]%%%}+%%%{4,[3,1,1]%%%}+%%%{-4,[3,1,0]%%%}+%%%{-4,[3,0,1]%%%}+%%%{6,[2,2,2]%%%}+%%%{-12,[2,2,1]%%%}+%%%{6,[2,2,0]%%%}+%%%{-12,[2,1,2]%%%}+%%%{4,[2,1,1]%%%}+%%%{6,[2,0,2]%%%}+%%%{4,[1,3,3]%%%}+%%%{-12,[1,3,2]%%%}+%%%{12,[1,3,1]%%%}+%%%{-4,[1,3,0]%%%}+%%%{-12,[1,2,3]%%%}+%%%{8,[1,2,2]%%%}+%%%{4,[1,2,1]%%%}+%%%{12,[1,1,3]%%%}+%%%{4,[1,1,2]%%%}+%%%{-4,[1,0,3]%%%}+%%%{1,[0,4,4]%%%}+%%%{-4,[0,4,3]%%%}+%%%{6,[0,4,2]%%%}+%%%{-4,[0,4,1]%%%}+%%%{1,[0,4,0]%%%}+%%%{-4,[0,3,4]%%%}+%%%{4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{-4,[0,3,1]%%%}+%%%{6,[0,2,4]%%%}+%%%{4,[0,2,3]%%%}+%%%{6,[0,2,2]%%%}+%%%{-4,[0,1,4]%%%}+%%%{-4,[0,1,3]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [0,71.707969239,78.6493344628]sqrt(2)/2/2/abs(b)*b^2/b*(2*(-24*sqrt(2)*b^3*a/9/a*sqrt(a+b*x)*sqrt(a+b*x)+18*sqrt(2)*b^3*a^2/9/a)*sqrt(a+b*x)*sqrt(-a*b+b*(a+b*x))/(-a*b+b*(a+b*x))^2-4*b^2*sqrt(2)/sqrt(b)*ln(abs(sqrt(-a*b+b*(a+b*x))-sqrt(b)*sqrt(a+b*x))))","F(-2)",0
228,1,33,0,0.149189," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{6}}{5 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{5}{2}} a {\left| b \right|}}"," ",0,"-2/5*(b*x + a)^(5/2)*b^6/(((b*x + a)*b - a*b)^(5/2)*a*abs(b))","A",0
229,1,59,0,0.162119," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^(9/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{2 \, \sqrt{2} {\left(b x + a\right)} b^{7}}{a^{2}} - \frac{7 \, \sqrt{2} b^{7}}{a}\right)} {\left(b x + a\right)}^{\frac{5}{2}} b}{35 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{7}{2}} {\left| b \right|}}"," ",0,"1/35*sqrt(2)*(2*sqrt(2)*(b*x + a)*b^7/a^2 - 7*sqrt(2)*b^7/a)*(b*x + a)^(5/2)*b/(((b*x + a)*b - a*b)^(7/2)*abs(b))","A",0
230,1,78,0,0.150094," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^(11/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\frac{63 \, \sqrt{2} b^{9}}{a} + 4 \, {\left(\frac{2 \, \sqrt{2} {\left(b x + a\right)} b^{9}}{a^{3}} - \frac{9 \, \sqrt{2} b^{9}}{a^{2}}\right)} {\left(b x + a\right)}\right)} {\left(b x + a\right)}^{\frac{5}{2}} b}{315 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{9}{2}} {\left| b \right|}}"," ",0,"-1/315*sqrt(2)*(63*sqrt(2)*b^9/a + 4*(2*sqrt(2)*(b*x + a)*b^9/a^3 - 9*sqrt(2)*b^9/a^2)*(b*x + a))*(b*x + a)^(5/2)*b/(((b*x + a)*b - a*b)^(9/2)*abs(b))","A",0
231,1,97,0,0.166075," ","integrate(arctanh(tanh(b*x+a))^(3/2)/x^(13/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\frac{231 \, \sqrt{2} b^{11}}{a} - 2 \, {\left(\frac{99 \, \sqrt{2} b^{11}}{a^{2}} + 4 \, {\left(\frac{2 \, \sqrt{2} {\left(b x + a\right)} b^{11}}{a^{4}} - \frac{11 \, \sqrt{2} b^{11}}{a^{3}}\right)} {\left(b x + a\right)}\right)} {\left(b x + a\right)}\right)} {\left(b x + a\right)}^{\frac{5}{2}} b}{1155 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{11}{2}} {\left| b \right|}}"," ",0,"-1/1155*sqrt(2)*(231*sqrt(2)*b^11/a - 2*(99*sqrt(2)*b^11/a^2 + 4*(2*sqrt(2)*(b*x + a)*b^11/a^4 - 11*sqrt(2)*b^11/a^3)*(b*x + a))*(b*x + a))*(b*x + a)^(5/2)*b/(((b*x + a)*b - a*b)^(11/2)*abs(b))","A",0
232,1,204,0,0.169644," ","integrate(x^(1/2)*arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{1}{384} \, \sqrt{2} {\left(48 \, \sqrt{2} {\left(\sqrt{b x + a} {\left(2 \, x + \frac{a}{b}\right)} \sqrt{x} + \frac{a^{2} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{b^{\frac{3}{2}}}\right)} a^{2} + 16 \, \sqrt{2} {\left(\sqrt{b x + a} {\left(2 \, {\left(4 \, x + \frac{a}{b}\right)} x - \frac{3 \, a^{2}}{b^{2}}\right)} \sqrt{x} - \frac{3 \, a^{3} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{b^{\frac{5}{2}}}\right)} a b + \sqrt{2} {\left({\left(2 \, {\left(4 \, {\left(6 \, x + \frac{a}{b}\right)} x - \frac{5 \, a^{2}}{b^{2}}\right)} x + \frac{15 \, a^{3}}{b^{3}}\right)} \sqrt{b x + a} \sqrt{x} + \frac{15 \, a^{4} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{b^{\frac{7}{2}}}\right)} b^{2}\right)}"," ",0,"1/384*sqrt(2)*(48*sqrt(2)*(sqrt(b*x + a)*(2*x + a/b)*sqrt(x) + a^2*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(3/2))*a^2 + 16*sqrt(2)*(sqrt(b*x + a)*(2*(4*x + a/b)*x - 3*a^2/b^2)*sqrt(x) - 3*a^3*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(5/2))*a*b + sqrt(2)*((2*(4*(6*x + a/b)*x - 5*a^2/b^2)*x + 15*a^3/b^3)*sqrt(b*x + a)*sqrt(x) + 15*a^4*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(7/2))*b^2)","A",0
233,-2,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-4,[0,1,1]%%%}+%%%{-4,[0,1,0]%%%}+%%%{-4,[0,0,1]%%%},0,%%%{6,[2,0,0]%%%}+%%%{12,[1,1,1]%%%}+%%%{4,[1,1,0]%%%}+%%%{4,[1,0,1]%%%}+%%%{6,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{6,[0,2,0]%%%}+%%%{4,[0,1,2]%%%}+%%%{4,[0,1,1]%%%}+%%%{6,[0,0,2]%%%},0,%%%{-4,[3,0,0]%%%}+%%%{-12,[2,1,1]%%%}+%%%{4,[2,1,0]%%%}+%%%{4,[2,0,1]%%%}+%%%{-12,[1,2,2]%%%}+%%%{8,[1,2,1]%%%}+%%%{4,[1,2,0]%%%}+%%%{8,[1,1,2]%%%}+%%%{-40,[1,1,1]%%%}+%%%{4,[1,0,2]%%%}+%%%{-4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{4,[0,3,1]%%%}+%%%{-4,[0,3,0]%%%}+%%%{4,[0,2,3]%%%}+%%%{-40,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{4,[0,1,3]%%%}+%%%{4,[0,1,2]%%%}+%%%{-4,[0,0,3]%%%},0,%%%{1,[4,0,0]%%%}+%%%{4,[3,1,1]%%%}+%%%{-4,[3,1,0]%%%}+%%%{-4,[3,0,1]%%%}+%%%{6,[2,2,2]%%%}+%%%{-12,[2,2,1]%%%}+%%%{6,[2,2,0]%%%}+%%%{-12,[2,1,2]%%%}+%%%{4,[2,1,1]%%%}+%%%{6,[2,0,2]%%%}+%%%{4,[1,3,3]%%%}+%%%{-12,[1,3,2]%%%}+%%%{12,[1,3,1]%%%}+%%%{-4,[1,3,0]%%%}+%%%{-12,[1,2,3]%%%}+%%%{8,[1,2,2]%%%}+%%%{4,[1,2,1]%%%}+%%%{12,[1,1,3]%%%}+%%%{4,[1,1,2]%%%}+%%%{-4,[1,0,3]%%%}+%%%{1,[0,4,4]%%%}+%%%{-4,[0,4,3]%%%}+%%%{6,[0,4,2]%%%}+%%%{-4,[0,4,1]%%%}+%%%{1,[0,4,0]%%%}+%%%{-4,[0,3,4]%%%}+%%%{4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{-4,[0,3,1]%%%}+%%%{6,[0,2,4]%%%}+%%%{4,[0,2,3]%%%}+%%%{6,[0,2,2]%%%}+%%%{-4,[0,1,4]%%%}+%%%{-4,[0,1,3]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [0,85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-4,[0,1,1]%%%}+%%%{-4,[0,1,0]%%%}+%%%{-4,[0,0,1]%%%},0,%%%{6,[2,0,0]%%%}+%%%{12,[1,1,1]%%%}+%%%{4,[1,1,0]%%%}+%%%{4,[1,0,1]%%%}+%%%{6,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{6,[0,2,0]%%%}+%%%{4,[0,1,2]%%%}+%%%{4,[0,1,1]%%%}+%%%{6,[0,0,2]%%%},0,%%%{-4,[3,0,0]%%%}+%%%{-12,[2,1,1]%%%}+%%%{4,[2,1,0]%%%}+%%%{4,[2,0,1]%%%}+%%%{-12,[1,2,2]%%%}+%%%{8,[1,2,1]%%%}+%%%{4,[1,2,0]%%%}+%%%{8,[1,1,2]%%%}+%%%{-40,[1,1,1]%%%}+%%%{4,[1,0,2]%%%}+%%%{-4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{4,[0,3,1]%%%}+%%%{-4,[0,3,0]%%%}+%%%{4,[0,2,3]%%%}+%%%{-40,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{4,[0,1,3]%%%}+%%%{4,[0,1,2]%%%}+%%%{-4,[0,0,3]%%%},0,%%%{1,[4,0,0]%%%}+%%%{4,[3,1,1]%%%}+%%%{-4,[3,1,0]%%%}+%%%{-4,[3,0,1]%%%}+%%%{6,[2,2,2]%%%}+%%%{-12,[2,2,1]%%%}+%%%{6,[2,2,0]%%%}+%%%{-12,[2,1,2]%%%}+%%%{4,[2,1,1]%%%}+%%%{6,[2,0,2]%%%}+%%%{4,[1,3,3]%%%}+%%%{-12,[1,3,2]%%%}+%%%{12,[1,3,1]%%%}+%%%{-4,[1,3,0]%%%}+%%%{-12,[1,2,3]%%%}+%%%{8,[1,2,2]%%%}+%%%{4,[1,2,1]%%%}+%%%{12,[1,1,3]%%%}+%%%{4,[1,1,2]%%%}+%%%{-4,[1,0,3]%%%}+%%%{1,[0,4,4]%%%}+%%%{-4,[0,4,3]%%%}+%%%{6,[0,4,2]%%%}+%%%{-4,[0,4,1]%%%}+%%%{1,[0,4,0]%%%}+%%%{-4,[0,3,4]%%%}+%%%{4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{-4,[0,3,1]%%%}+%%%{6,[0,2,4]%%%}+%%%{4,[0,2,3]%%%}+%%%{6,[0,2,2]%%%}+%%%{-4,[0,1,4]%%%}+%%%{-4,[0,1,3]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [0,71.707969239,78.6493344628]sqrt(2)/2/abs(b)*b^2/b*(2*((1/3/sqrt(2)/b*sqrt(a+b*x)*sqrt(a+b*x)+30*a/72/sqrt(2)/b)*sqrt(a+b*x)*sqrt(a+b*x)+45*a^2/72/sqrt(2)/b)*sqrt(a+b*x)*sqrt(-a*b+b*(a+b*x))-10*a^3/8/sqrt(2)/sqrt(b)*ln(abs(sqrt(-a*b+b*(a+b*x))-sqrt(b)*sqrt(a+b*x))))","F(-2)",0
234,-2,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-4,[0,1,1]%%%}+%%%{-4,[0,1,0]%%%}+%%%{-4,[0,0,1]%%%},0,%%%{6,[2,0,0]%%%}+%%%{12,[1,1,1]%%%}+%%%{4,[1,1,0]%%%}+%%%{4,[1,0,1]%%%}+%%%{6,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{6,[0,2,0]%%%}+%%%{4,[0,1,2]%%%}+%%%{4,[0,1,1]%%%}+%%%{6,[0,0,2]%%%},0,%%%{-4,[3,0,0]%%%}+%%%{-12,[2,1,1]%%%}+%%%{4,[2,1,0]%%%}+%%%{4,[2,0,1]%%%}+%%%{-12,[1,2,2]%%%}+%%%{8,[1,2,1]%%%}+%%%{4,[1,2,0]%%%}+%%%{8,[1,1,2]%%%}+%%%{-40,[1,1,1]%%%}+%%%{4,[1,0,2]%%%}+%%%{-4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{4,[0,3,1]%%%}+%%%{-4,[0,3,0]%%%}+%%%{4,[0,2,3]%%%}+%%%{-40,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{4,[0,1,3]%%%}+%%%{4,[0,1,2]%%%}+%%%{-4,[0,0,3]%%%},0,%%%{1,[4,0,0]%%%}+%%%{4,[3,1,1]%%%}+%%%{-4,[3,1,0]%%%}+%%%{-4,[3,0,1]%%%}+%%%{6,[2,2,2]%%%}+%%%{-12,[2,2,1]%%%}+%%%{6,[2,2,0]%%%}+%%%{-12,[2,1,2]%%%}+%%%{4,[2,1,1]%%%}+%%%{6,[2,0,2]%%%}+%%%{4,[1,3,3]%%%}+%%%{-12,[1,3,2]%%%}+%%%{12,[1,3,1]%%%}+%%%{-4,[1,3,0]%%%}+%%%{-12,[1,2,3]%%%}+%%%{8,[1,2,2]%%%}+%%%{4,[1,2,1]%%%}+%%%{12,[1,1,3]%%%}+%%%{4,[1,1,2]%%%}+%%%{-4,[1,0,3]%%%}+%%%{1,[0,4,4]%%%}+%%%{-4,[0,4,3]%%%}+%%%{6,[0,4,2]%%%}+%%%{-4,[0,4,1]%%%}+%%%{1,[0,4,0]%%%}+%%%{-4,[0,3,4]%%%}+%%%{4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{-4,[0,3,1]%%%}+%%%{6,[0,2,4]%%%}+%%%{4,[0,2,3]%%%}+%%%{6,[0,2,2]%%%}+%%%{-4,[0,1,4]%%%}+%%%{-4,[0,1,3]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [0,85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-4,[0,1,1]%%%}+%%%{-4,[0,1,0]%%%}+%%%{-4,[0,0,1]%%%},0,%%%{6,[2,0,0]%%%}+%%%{12,[1,1,1]%%%}+%%%{4,[1,1,0]%%%}+%%%{4,[1,0,1]%%%}+%%%{6,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{6,[0,2,0]%%%}+%%%{4,[0,1,2]%%%}+%%%{4,[0,1,1]%%%}+%%%{6,[0,0,2]%%%},0,%%%{-4,[3,0,0]%%%}+%%%{-12,[2,1,1]%%%}+%%%{4,[2,1,0]%%%}+%%%{4,[2,0,1]%%%}+%%%{-12,[1,2,2]%%%}+%%%{8,[1,2,1]%%%}+%%%{4,[1,2,0]%%%}+%%%{8,[1,1,2]%%%}+%%%{-40,[1,1,1]%%%}+%%%{4,[1,0,2]%%%}+%%%{-4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{4,[0,3,1]%%%}+%%%{-4,[0,3,0]%%%}+%%%{4,[0,2,3]%%%}+%%%{-40,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{4,[0,1,3]%%%}+%%%{4,[0,1,2]%%%}+%%%{-4,[0,0,3]%%%},0,%%%{1,[4,0,0]%%%}+%%%{4,[3,1,1]%%%}+%%%{-4,[3,1,0]%%%}+%%%{-4,[3,0,1]%%%}+%%%{6,[2,2,2]%%%}+%%%{-12,[2,2,1]%%%}+%%%{6,[2,2,0]%%%}+%%%{-12,[2,1,2]%%%}+%%%{4,[2,1,1]%%%}+%%%{6,[2,0,2]%%%}+%%%{4,[1,3,3]%%%}+%%%{-12,[1,3,2]%%%}+%%%{12,[1,3,1]%%%}+%%%{-4,[1,3,0]%%%}+%%%{-12,[1,2,3]%%%}+%%%{8,[1,2,2]%%%}+%%%{4,[1,2,1]%%%}+%%%{12,[1,1,3]%%%}+%%%{4,[1,1,2]%%%}+%%%{-4,[1,0,3]%%%}+%%%{1,[0,4,4]%%%}+%%%{-4,[0,4,3]%%%}+%%%{6,[0,4,2]%%%}+%%%{-4,[0,4,1]%%%}+%%%{1,[0,4,0]%%%}+%%%{-4,[0,3,4]%%%}+%%%{4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{-4,[0,3,1]%%%}+%%%{6,[0,2,4]%%%}+%%%{4,[0,2,3]%%%}+%%%{6,[0,2,2]%%%}+%%%{-4,[0,1,4]%%%}+%%%{-4,[0,1,3]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [0,71.707969239,78.6493344628]sqrt(2)/2*b/abs(b)*b^2/b*(2*((1/2/sqrt(2)*sqrt(a+b*x)*sqrt(a+b*x)+5*a/4/sqrt(2))*sqrt(a+b*x)*sqrt(a+b*x)-15*a^2/4/sqrt(2))*sqrt(a+b*x)*sqrt(-a*b+b*(a+b*x))/(-a*b+b*(a+b*x))-30*a^2/4/sqrt(2)/sqrt(b)*ln(abs(sqrt(-a*b+b*(a+b*x))-sqrt(b)*sqrt(a+b*x))))","F(-2)",0
235,-2,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-4,[0,1,1]%%%}+%%%{-4,[0,1,0]%%%}+%%%{-4,[0,0,1]%%%},0,%%%{6,[2,0,0]%%%}+%%%{12,[1,1,1]%%%}+%%%{4,[1,1,0]%%%}+%%%{4,[1,0,1]%%%}+%%%{6,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{6,[0,2,0]%%%}+%%%{4,[0,1,2]%%%}+%%%{4,[0,1,1]%%%}+%%%{6,[0,0,2]%%%},0,%%%{-4,[3,0,0]%%%}+%%%{-12,[2,1,1]%%%}+%%%{4,[2,1,0]%%%}+%%%{4,[2,0,1]%%%}+%%%{-12,[1,2,2]%%%}+%%%{8,[1,2,1]%%%}+%%%{4,[1,2,0]%%%}+%%%{8,[1,1,2]%%%}+%%%{-40,[1,1,1]%%%}+%%%{4,[1,0,2]%%%}+%%%{-4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{4,[0,3,1]%%%}+%%%{-4,[0,3,0]%%%}+%%%{4,[0,2,3]%%%}+%%%{-40,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{4,[0,1,3]%%%}+%%%{4,[0,1,2]%%%}+%%%{-4,[0,0,3]%%%},0,%%%{1,[4,0,0]%%%}+%%%{4,[3,1,1]%%%}+%%%{-4,[3,1,0]%%%}+%%%{-4,[3,0,1]%%%}+%%%{6,[2,2,2]%%%}+%%%{-12,[2,2,1]%%%}+%%%{6,[2,2,0]%%%}+%%%{-12,[2,1,2]%%%}+%%%{4,[2,1,1]%%%}+%%%{6,[2,0,2]%%%}+%%%{4,[1,3,3]%%%}+%%%{-12,[1,3,2]%%%}+%%%{12,[1,3,1]%%%}+%%%{-4,[1,3,0]%%%}+%%%{-12,[1,2,3]%%%}+%%%{8,[1,2,2]%%%}+%%%{4,[1,2,1]%%%}+%%%{12,[1,1,3]%%%}+%%%{4,[1,1,2]%%%}+%%%{-4,[1,0,3]%%%}+%%%{1,[0,4,4]%%%}+%%%{-4,[0,4,3]%%%}+%%%{6,[0,4,2]%%%}+%%%{-4,[0,4,1]%%%}+%%%{1,[0,4,0]%%%}+%%%{-4,[0,3,4]%%%}+%%%{4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{-4,[0,3,1]%%%}+%%%{6,[0,2,4]%%%}+%%%{4,[0,2,3]%%%}+%%%{6,[0,2,2]%%%}+%%%{-4,[0,1,4]%%%}+%%%{-4,[0,1,3]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [0,85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-4,[0,1,1]%%%}+%%%{-4,[0,1,0]%%%}+%%%{-4,[0,0,1]%%%},0,%%%{6,[2,0,0]%%%}+%%%{12,[1,1,1]%%%}+%%%{4,[1,1,0]%%%}+%%%{4,[1,0,1]%%%}+%%%{6,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{6,[0,2,0]%%%}+%%%{4,[0,1,2]%%%}+%%%{4,[0,1,1]%%%}+%%%{6,[0,0,2]%%%},0,%%%{-4,[3,0,0]%%%}+%%%{-12,[2,1,1]%%%}+%%%{4,[2,1,0]%%%}+%%%{4,[2,0,1]%%%}+%%%{-12,[1,2,2]%%%}+%%%{8,[1,2,1]%%%}+%%%{4,[1,2,0]%%%}+%%%{8,[1,1,2]%%%}+%%%{-40,[1,1,1]%%%}+%%%{4,[1,0,2]%%%}+%%%{-4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{4,[0,3,1]%%%}+%%%{-4,[0,3,0]%%%}+%%%{4,[0,2,3]%%%}+%%%{-40,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{4,[0,1,3]%%%}+%%%{4,[0,1,2]%%%}+%%%{-4,[0,0,3]%%%},0,%%%{1,[4,0,0]%%%}+%%%{4,[3,1,1]%%%}+%%%{-4,[3,1,0]%%%}+%%%{-4,[3,0,1]%%%}+%%%{6,[2,2,2]%%%}+%%%{-12,[2,2,1]%%%}+%%%{6,[2,2,0]%%%}+%%%{-12,[2,1,2]%%%}+%%%{4,[2,1,1]%%%}+%%%{6,[2,0,2]%%%}+%%%{4,[1,3,3]%%%}+%%%{-12,[1,3,2]%%%}+%%%{12,[1,3,1]%%%}+%%%{-4,[1,3,0]%%%}+%%%{-12,[1,2,3]%%%}+%%%{8,[1,2,2]%%%}+%%%{4,[1,2,1]%%%}+%%%{12,[1,1,3]%%%}+%%%{4,[1,1,2]%%%}+%%%{-4,[1,0,3]%%%}+%%%{1,[0,4,4]%%%}+%%%{-4,[0,4,3]%%%}+%%%{6,[0,4,2]%%%}+%%%{-4,[0,4,1]%%%}+%%%{1,[0,4,0]%%%}+%%%{-4,[0,3,4]%%%}+%%%{4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{-4,[0,3,1]%%%}+%%%{6,[0,2,4]%%%}+%%%{4,[0,2,3]%%%}+%%%{6,[0,2,2]%%%}+%%%{-4,[0,1,4]%%%}+%%%{-4,[0,1,3]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [0,71.707969239,78.6493344628]sqrt(2)/2/abs(b)*b^2/b*(2*((9*b^4*a/9/sqrt(2)/b/a*sqrt(a+b*x)*sqrt(a+b*x)-60*b^4*a^2/9/sqrt(2)/b/a)*sqrt(a+b*x)*sqrt(a+b*x)+45*b^4*a^3/9/sqrt(2)/b/a)*sqrt(a+b*x)*sqrt(-a*b+b*(a+b*x))/(-a*b+b*(a+b*x))^2-10*a*b^2/sqrt(2)/sqrt(b)*ln(abs(sqrt(-a*b+b*(a+b*x))-sqrt(b)*sqrt(a+b*x))))","F(-2)",0
236,-2,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(7/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-4,[0,1,1]%%%}+%%%{-4,[0,1,0]%%%}+%%%{-4,[0,0,1]%%%},0,%%%{6,[2,0,0]%%%}+%%%{12,[1,1,1]%%%}+%%%{4,[1,1,0]%%%}+%%%{4,[1,0,1]%%%}+%%%{6,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{6,[0,2,0]%%%}+%%%{4,[0,1,2]%%%}+%%%{4,[0,1,1]%%%}+%%%{6,[0,0,2]%%%},0,%%%{-4,[3,0,0]%%%}+%%%{-12,[2,1,1]%%%}+%%%{4,[2,1,0]%%%}+%%%{4,[2,0,1]%%%}+%%%{-12,[1,2,2]%%%}+%%%{8,[1,2,1]%%%}+%%%{4,[1,2,0]%%%}+%%%{8,[1,1,2]%%%}+%%%{-40,[1,1,1]%%%}+%%%{4,[1,0,2]%%%}+%%%{-4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{4,[0,3,1]%%%}+%%%{-4,[0,3,0]%%%}+%%%{4,[0,2,3]%%%}+%%%{-40,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{4,[0,1,3]%%%}+%%%{4,[0,1,2]%%%}+%%%{-4,[0,0,3]%%%},0,%%%{1,[4,0,0]%%%}+%%%{4,[3,1,1]%%%}+%%%{-4,[3,1,0]%%%}+%%%{-4,[3,0,1]%%%}+%%%{6,[2,2,2]%%%}+%%%{-12,[2,2,1]%%%}+%%%{6,[2,2,0]%%%}+%%%{-12,[2,1,2]%%%}+%%%{4,[2,1,1]%%%}+%%%{6,[2,0,2]%%%}+%%%{4,[1,3,3]%%%}+%%%{-12,[1,3,2]%%%}+%%%{12,[1,3,1]%%%}+%%%{-4,[1,3,0]%%%}+%%%{-12,[1,2,3]%%%}+%%%{8,[1,2,2]%%%}+%%%{4,[1,2,1]%%%}+%%%{12,[1,1,3]%%%}+%%%{4,[1,1,2]%%%}+%%%{-4,[1,0,3]%%%}+%%%{1,[0,4,4]%%%}+%%%{-4,[0,4,3]%%%}+%%%{6,[0,4,2]%%%}+%%%{-4,[0,4,1]%%%}+%%%{1,[0,4,0]%%%}+%%%{-4,[0,3,4]%%%}+%%%{4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{-4,[0,3,1]%%%}+%%%{6,[0,2,4]%%%}+%%%{4,[0,2,3]%%%}+%%%{6,[0,2,2]%%%}+%%%{-4,[0,1,4]%%%}+%%%{-4,[0,1,3]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [0,85.3561567818,61.7937478349]Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-4,[0,1,1]%%%}+%%%{-4,[0,1,0]%%%}+%%%{-4,[0,0,1]%%%},0,%%%{6,[2,0,0]%%%}+%%%{12,[1,1,1]%%%}+%%%{4,[1,1,0]%%%}+%%%{4,[1,0,1]%%%}+%%%{6,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{6,[0,2,0]%%%}+%%%{4,[0,1,2]%%%}+%%%{4,[0,1,1]%%%}+%%%{6,[0,0,2]%%%},0,%%%{-4,[3,0,0]%%%}+%%%{-12,[2,1,1]%%%}+%%%{4,[2,1,0]%%%}+%%%{4,[2,0,1]%%%}+%%%{-12,[1,2,2]%%%}+%%%{8,[1,2,1]%%%}+%%%{4,[1,2,0]%%%}+%%%{8,[1,1,2]%%%}+%%%{-40,[1,1,1]%%%}+%%%{4,[1,0,2]%%%}+%%%{-4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{4,[0,3,1]%%%}+%%%{-4,[0,3,0]%%%}+%%%{4,[0,2,3]%%%}+%%%{-40,[0,2,2]%%%}+%%%{4,[0,2,1]%%%}+%%%{4,[0,1,3]%%%}+%%%{4,[0,1,2]%%%}+%%%{-4,[0,0,3]%%%},0,%%%{1,[4,0,0]%%%}+%%%{4,[3,1,1]%%%}+%%%{-4,[3,1,0]%%%}+%%%{-4,[3,0,1]%%%}+%%%{6,[2,2,2]%%%}+%%%{-12,[2,2,1]%%%}+%%%{6,[2,2,0]%%%}+%%%{-12,[2,1,2]%%%}+%%%{4,[2,1,1]%%%}+%%%{6,[2,0,2]%%%}+%%%{4,[1,3,3]%%%}+%%%{-12,[1,3,2]%%%}+%%%{12,[1,3,1]%%%}+%%%{-4,[1,3,0]%%%}+%%%{-12,[1,2,3]%%%}+%%%{8,[1,2,2]%%%}+%%%{4,[1,2,1]%%%}+%%%{12,[1,1,3]%%%}+%%%{4,[1,1,2]%%%}+%%%{-4,[1,0,3]%%%}+%%%{1,[0,4,4]%%%}+%%%{-4,[0,4,3]%%%}+%%%{6,[0,4,2]%%%}+%%%{-4,[0,4,1]%%%}+%%%{1,[0,4,0]%%%}+%%%{-4,[0,3,4]%%%}+%%%{4,[0,3,3]%%%}+%%%{4,[0,3,2]%%%}+%%%{-4,[0,3,1]%%%}+%%%{6,[0,2,4]%%%}+%%%{4,[0,2,3]%%%}+%%%{6,[0,2,2]%%%}+%%%{-4,[0,1,4]%%%}+%%%{-4,[0,1,3]%%%}+%%%{1,[0,0,4]%%%}] at parameters values [0,71.707969239,78.6493344628]sqrt(2)/2/abs(b)*b^2/b*(2*((-345*sqrt(2)*b^5*a^2/225/a^2*sqrt(a+b*x)*sqrt(a+b*x)+525*sqrt(2)*b^5*a^3/225/a^2)*sqrt(a+b*x)*sqrt(a+b*x)-225*sqrt(2)*b^5*a^4/225/a^2)*sqrt(a+b*x)*sqrt(-a*b+b*(a+b*x))/(-a*b+b*(a+b*x))^3-2*b^3*sqrt(2)/sqrt(b)*ln(abs(sqrt(-a*b+b*(a+b*x))-sqrt(b)*sqrt(a+b*x))))","F(-2)",0
237,1,33,0,0.181465," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(9/2),x, algorithm=""giac"")","-\frac{2 \, {\left(b x + a\right)}^{\frac{7}{2}} b^{8}}{7 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{7}{2}} a {\left| b \right|}}"," ",0,"-2/7*(b*x + a)^(7/2)*b^8/(((b*x + a)*b - a*b)^(7/2)*a*abs(b))","A",0
238,1,59,0,0.189802," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(11/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{2 \, \sqrt{2} {\left(b x + a\right)} b^{9}}{a^{2}} - \frac{9 \, \sqrt{2} b^{9}}{a}\right)} {\left(b x + a\right)}^{\frac{7}{2}} b}{63 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{9}{2}} {\left| b \right|}}"," ",0,"1/63*sqrt(2)*(2*sqrt(2)*(b*x + a)*b^9/a^2 - 9*sqrt(2)*b^9/a)*(b*x + a)^(7/2)*b/(((b*x + a)*b - a*b)^(9/2)*abs(b))","A",0
239,1,78,0,0.196328," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(13/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\frac{99 \, \sqrt{2} b^{11}}{a} + 4 \, {\left(\frac{2 \, \sqrt{2} {\left(b x + a\right)} b^{11}}{a^{3}} - \frac{11 \, \sqrt{2} b^{11}}{a^{2}}\right)} {\left(b x + a\right)}\right)} {\left(b x + a\right)}^{\frac{7}{2}} b}{693 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{11}{2}} {\left| b \right|}}"," ",0,"-1/693*sqrt(2)*(99*sqrt(2)*b^11/a + 4*(2*sqrt(2)*(b*x + a)*b^11/a^3 - 11*sqrt(2)*b^11/a^2)*(b*x + a))*(b*x + a)^(7/2)*b/(((b*x + a)*b - a*b)^(11/2)*abs(b))","A",0
240,1,97,0,0.196958," ","integrate(arctanh(tanh(b*x+a))^(5/2)/x^(15/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\frac{429 \, \sqrt{2} b^{13}}{a} - 2 \, {\left(\frac{143 \, \sqrt{2} b^{13}}{a^{2}} + 4 \, {\left(\frac{2 \, \sqrt{2} {\left(b x + a\right)} b^{13}}{a^{4}} - \frac{13 \, \sqrt{2} b^{13}}{a^{3}}\right)} {\left(b x + a\right)}\right)} {\left(b x + a\right)}\right)} {\left(b x + a\right)}^{\frac{7}{2}} b}{3003 \, {\left({\left(b x + a\right)} b - a b\right)}^{\frac{13}{2}} {\left| b \right|}}"," ",0,"-1/3003*sqrt(2)*(429*sqrt(2)*b^13/a - 2*(143*sqrt(2)*b^13/a^2 + 4*(2*sqrt(2)*(b*x + a)*b^13/a^4 - 13*sqrt(2)*b^13/a^3)*(b*x + a))*(b*x + a))*(b*x + a)^(7/2)*b/(((b*x + a)*b - a*b)^(13/2)*abs(b))","A",0
241,1,64,0,0.142684," ","integrate(x^(5/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{1}{24} \, \sqrt{b x + a} {\left(2 \, x {\left(\frac{4 \, x}{b} - \frac{5 \, a}{b^{2}}\right)} + \frac{15 \, a^{2}}{b^{3}}\right)} \sqrt{x} + \frac{5 \, a^{3} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{8 \, b^{\frac{7}{2}}}"," ",0,"1/24*sqrt(b*x + a)*(2*x*(4*x/b - 5*a/b^2) + 15*a^2/b^3)*sqrt(x) + 5/8*a^3*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(7/2)","A",0
242,1,52,0,0.161296," ","integrate(x^(3/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{b x + a} \sqrt{x} {\left(\frac{2 \, x}{b} - \frac{3 \, a}{b^{2}}\right)} - \frac{3 \, a^{2} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{4 \, b^{\frac{5}{2}}}"," ",0,"1/4*sqrt(b*x + a)*sqrt(x)*(2*x/b - 3*a/b^2) - 3/4*a^2*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(5/2)","A",0
243,1,38,0,0.155210," ","integrate(x^(1/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{a \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{b^{\frac{3}{2}}} + \frac{\sqrt{b x + a} \sqrt{x}}{b}"," ",0,"a*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(3/2) + sqrt(b*x + a)*sqrt(x)/b","A",0
244,1,23,0,0.147406," ","integrate(1/x^(1/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","-\frac{2 \, \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{\sqrt{b}}"," ",0,"-2*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/sqrt(b)","A",0
245,1,30,0,0.152456," ","integrate(1/x^(3/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{4 \, \sqrt{b}}{{\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a}"," ",0,"4*sqrt(b)/((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)","A",0
246,1,55,0,0.138876," ","integrate(1/x^(5/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{8 \, {\left(3 \, {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)} b^{\frac{3}{2}}}{3 \, {\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)}^{3}}"," ",0,"8/3*(3*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)*b^(3/2)/((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)^3","A",0
247,1,77,0,0.155725," ","integrate(1/x^(7/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{32 \, {\left(10 \, {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{4} - 5 \, a {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} + a^{2}\right)} b^{\frac{5}{2}}}{15 \, {\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)}^{5}}"," ",0,"32/15*(10*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^4 - 5*a*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 + a^2)*b^(5/2)/((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)^5","A",0
248,1,103,0,0.146900," ","integrate(1/x^(9/2)/arctanh(tanh(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{64 \, {\left(35 \, {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{6} - 21 \, a {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{4} + 7 \, a^{2} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a^{3}\right)} b^{\frac{7}{2}}}{35 \, {\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)}^{7}}"," ",0,"64/35*(35*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^6 - 21*a*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^4 + 7*a^2*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a^3)*b^(7/2)/((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)^7","A",0
249,1,75,0,0.139502," ","integrate(x^(7/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{{\left({\left(2 \, x {\left(\frac{4 \, x}{b} - \frac{7 \, a}{b^{2}}\right)} + \frac{35 \, a^{2}}{b^{3}}\right)} x + \frac{105 \, a^{3}}{b^{4}}\right)} \sqrt{x}}{24 \, \sqrt{b x + a}} + \frac{35 \, a^{3} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{8 \, b^{\frac{9}{2}}}"," ",0,"1/24*((2*x*(4*x/b - 7*a/b^2) + 35*a^2/b^3)*x + 105*a^3/b^4)*sqrt(x)/sqrt(b*x + a) + 35/8*a^3*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(9/2)","A",0
250,1,63,0,0.160009," ","integrate(x^(5/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{{\left(x {\left(\frac{2 \, x}{b} - \frac{5 \, a}{b^{2}}\right)} - \frac{15 \, a^{2}}{b^{3}}\right)} \sqrt{x}}{4 \, \sqrt{b x + a}} - \frac{15 \, a^{2} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{4 \, b^{\frac{7}{2}}}"," ",0,"1/4*(x*(2*x/b - 5*a/b^2) - 15*a^2/b^3)*sqrt(x)/sqrt(b*x + a) - 15/4*a^2*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(7/2)","A",0
251,1,48,0,0.138332," ","integrate(x^(3/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{\sqrt{x} {\left(\frac{x}{b} + \frac{3 \, a}{b^{2}}\right)}}{\sqrt{b x + a}} + \frac{3 \, a \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{b^{\frac{5}{2}}}"," ",0,"sqrt(x)*(x/b + 3*a/b^2)/sqrt(b*x + a) + 3*a*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(5/2)","A",0
252,1,39,0,0.142346," ","integrate(x^(1/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","-\frac{2 \, \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{b^{\frac{3}{2}}} - \frac{2 \, \sqrt{x}}{\sqrt{b x + a} b}"," ",0,"-2*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(3/2) - 2*sqrt(x)/(sqrt(b*x + a)*b)","A",0
253,1,15,0,0.144219," ","integrate(1/x^(1/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{x}}{\sqrt{b x + a} a}"," ",0,"2*sqrt(x)/(sqrt(b*x + a)*a)","A",0
254,1,50,0,0.163026," ","integrate(1/x^(3/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","-\frac{2 \, b \sqrt{x}}{\sqrt{b x + a} a^{2}} + \frac{4 \, \sqrt{b}}{{\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)} a}"," ",0,"-2*b*sqrt(x)/(sqrt(b*x + a)*a^2) + 4*sqrt(b)/(((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)*a)","A",0
255,1,107,0,0.172832," ","integrate(1/x^(5/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{2 \, b^{2} \sqrt{x}}{\sqrt{b x + a} a^{3}} - \frac{4 \, {\left(3 \, b^{\frac{3}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{4} - 12 \, a b^{\frac{3}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} + 5 \, a^{2} b^{\frac{3}{2}}\right)}}{3 \, {\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)}^{3} a^{2}}"," ",0,"2*b^2*sqrt(x)/(sqrt(b*x + a)*a^3) - 4/3*(3*b^(3/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^4 - 12*a*b^(3/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 + 5*a^2*b^(3/2))/(((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)^3*a^2)","A",0
256,1,161,0,0.198394," ","integrate(1/x^(7/2)/arctanh(tanh(b*x+a))^(3/2),x, algorithm=""giac"")","-\frac{2 \, b^{3} \sqrt{x}}{\sqrt{b x + a} a^{4}} + \frac{4 \, {\left(5 \, b^{\frac{5}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{8} - 30 \, a b^{\frac{5}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{6} + 80 \, a^{2} b^{\frac{5}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{4} - 50 \, a^{3} b^{\frac{5}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} + 11 \, a^{4} b^{\frac{5}{2}}\right)}}{5 \, {\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)}^{5} a^{3}}"," ",0,"-2*b^3*sqrt(x)/(sqrt(b*x + a)*a^4) + 4/5*(5*b^(5/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^8 - 30*a*b^(5/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^6 + 80*a^2*b^(5/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^4 - 50*a^3*b^(5/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 + 11*a^4*b^(5/2))/(((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)^5*a^3)","A",0
257,1,75,0,0.148753," ","integrate(x^(7/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{{\left({\left(3 \, x {\left(\frac{2 \, x}{b} - \frac{7 \, a}{b^{2}}\right)} - \frac{140 \, a^{2}}{b^{3}}\right)} x - \frac{105 \, a^{3}}{b^{4}}\right)} \sqrt{x}}{12 \, {\left(b x + a\right)}^{\frac{3}{2}}} - \frac{35 \, a^{2} \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{4 \, b^{\frac{9}{2}}}"," ",0,"1/12*((3*x*(2*x/b - 7*a/b^2) - 140*a^2/b^3)*x - 105*a^3/b^4)*sqrt(x)/(b*x + a)^(3/2) - 35/4*a^2*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(9/2)","A",0
258,1,61,0,0.146779," ","integrate(x^(5/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{{\left(x {\left(\frac{3 \, x}{b} + \frac{20 \, a}{b^{2}}\right)} + \frac{15 \, a^{2}}{b^{3}}\right)} \sqrt{x}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}}} + \frac{5 \, a \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{b^{\frac{7}{2}}}"," ",0,"1/3*(x*(3*x/b + 20*a/b^2) + 15*a^2/b^3)*sqrt(x)/(b*x + a)^(3/2) + 5*a*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(7/2)","A",0
259,1,49,0,0.165895," ","integrate(x^(3/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{x} {\left(\frac{4 \, x}{b} + \frac{3 \, a}{b^{2}}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}}} - \frac{2 \, \log\left({\left| -\sqrt{b} \sqrt{x} + \sqrt{b x + a} \right|}\right)}{b^{\frac{5}{2}}}"," ",0,"-2/3*sqrt(x)*(4*x/b + 3*a/b^2)/(b*x + a)^(3/2) - 2*log(abs(-sqrt(b)*sqrt(x) + sqrt(b*x + a)))/b^(5/2)","A",0
260,1,15,0,0.134706," ","integrate(x^(1/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{2 \, x^{\frac{3}{2}}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}} a}"," ",0,"2/3*x^(3/2)/((b*x + a)^(3/2)*a)","A",0
261,1,25,0,0.129851," ","integrate(1/x^(1/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{x} {\left(\frac{2 \, b x}{a^{2}} + \frac{3}{a}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}}}"," ",0,"2/3*sqrt(x)*(2*b*x/a^2 + 3/a)/(b*x + a)^(3/2)","A",0
262,1,62,0,0.160222," ","integrate(1/x^(3/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{x} {\left(\frac{5 \, b^{2} x}{a^{3}} + \frac{6 \, b}{a^{2}}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}}} + \frac{4 \, \sqrt{b}}{{\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)} a^{2}}"," ",0,"-2/3*sqrt(x)*(5*b^2*x/a^3 + 6*b/a^2)/(b*x + a)^(3/2) + 4*sqrt(b)/(((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)*a^2)","A",0
263,1,119,0,0.191927," ","integrate(1/x^(5/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{x} {\left(\frac{8 \, b^{3} x}{a^{4}} + \frac{9 \, b^{2}}{a^{3}}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}}} - \frac{8 \, {\left(3 \, b^{\frac{3}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{4} - 9 \, a b^{\frac{3}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} + 4 \, a^{2} b^{\frac{3}{2}}\right)}}{3 \, {\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)}^{3} a^{3}}"," ",0,"2/3*sqrt(x)*(8*b^3*x/a^4 + 9*b^2/a^3)/(b*x + a)^(3/2) - 8/3*(3*b^(3/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^4 - 9*a*b^(3/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 + 4*a^2*b^(3/2))/(((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)^3*a^3)","A",0
264,1,173,0,0.239788," ","integrate(1/x^(7/2)/arctanh(tanh(b*x+a))^(5/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{x} {\left(\frac{11 \, b^{4} x}{a^{5}} + \frac{12 \, b^{3}}{a^{4}}\right)}}{3 \, {\left(b x + a\right)}^{\frac{3}{2}}} + \frac{4 \, {\left(45 \, b^{\frac{5}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{8} - 240 \, a b^{\frac{5}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{6} + 490 \, a^{2} b^{\frac{5}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{4} - 320 \, a^{3} b^{\frac{5}{2}} {\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} + 73 \, a^{4} b^{\frac{5}{2}}\right)}}{15 \, {\left({\left(\sqrt{b} \sqrt{x} - \sqrt{b x + a}\right)}^{2} - a\right)}^{5} a^{4}}"," ",0,"-2/3*sqrt(x)*(11*b^4*x/a^5 + 12*b^3/a^4)/(b*x + a)^(3/2) + 4/15*(45*b^(5/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^8 - 240*a*b^(5/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^6 + 490*a^2*b^(5/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^4 - 320*a^3*b^(5/2)*(sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 + 73*a^4*b^(5/2))/(((sqrt(b)*sqrt(x) - sqrt(b*x + a))^2 - a)^5*a^4)","A",0
265,0,0,0,0.000000," ","integrate(x^m*arctanh(tanh(b*x+a))^n,x, algorithm=""giac"")","\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
266,1,332,0,0.140769," ","integrate(x^4*arctanh(tanh(b*x+a))^n,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{5} n^{4} x^{5} + {\left(b x + a\right)}^{n} a b^{4} n^{4} x^{4} + 10 \, {\left(b x + a\right)}^{n} b^{5} n^{3} x^{5} + 6 \, {\left(b x + a\right)}^{n} a b^{4} n^{3} x^{4} + 35 \, {\left(b x + a\right)}^{n} b^{5} n^{2} x^{5} - 4 \, {\left(b x + a\right)}^{n} a^{2} b^{3} n^{3} x^{3} + 11 \, {\left(b x + a\right)}^{n} a b^{4} n^{2} x^{4} + 50 \, {\left(b x + a\right)}^{n} b^{5} n x^{5} - 12 \, {\left(b x + a\right)}^{n} a^{2} b^{3} n^{2} x^{3} + 6 \, {\left(b x + a\right)}^{n} a b^{4} n x^{4} + 24 \, {\left(b x + a\right)}^{n} b^{5} x^{5} + 12 \, {\left(b x + a\right)}^{n} a^{3} b^{2} n^{2} x^{2} - 8 \, {\left(b x + a\right)}^{n} a^{2} b^{3} n x^{3} + 12 \, {\left(b x + a\right)}^{n} a^{3} b^{2} n x^{2} - 24 \, {\left(b x + a\right)}^{n} a^{4} b n x + 24 \, {\left(b x + a\right)}^{n} a^{5}}{b^{5} n^{5} + 15 \, b^{5} n^{4} + 85 \, b^{5} n^{3} + 225 \, b^{5} n^{2} + 274 \, b^{5} n + 120 \, b^{5}}"," ",0,"((b*x + a)^n*b^5*n^4*x^5 + (b*x + a)^n*a*b^4*n^4*x^4 + 10*(b*x + a)^n*b^5*n^3*x^5 + 6*(b*x + a)^n*a*b^4*n^3*x^4 + 35*(b*x + a)^n*b^5*n^2*x^5 - 4*(b*x + a)^n*a^2*b^3*n^3*x^3 + 11*(b*x + a)^n*a*b^4*n^2*x^4 + 50*(b*x + a)^n*b^5*n*x^5 - 12*(b*x + a)^n*a^2*b^3*n^2*x^3 + 6*(b*x + a)^n*a*b^4*n*x^4 + 24*(b*x + a)^n*b^5*x^5 + 12*(b*x + a)^n*a^3*b^2*n^2*x^2 - 8*(b*x + a)^n*a^2*b^3*n*x^3 + 12*(b*x + a)^n*a^3*b^2*n*x^2 - 24*(b*x + a)^n*a^4*b*n*x + 24*(b*x + a)^n*a^5)/(b^5*n^5 + 15*b^5*n^4 + 85*b^5*n^3 + 225*b^5*n^2 + 274*b^5*n + 120*b^5)","B",0
267,1,226,0,0.139748," ","integrate(x^3*arctanh(tanh(b*x+a))^n,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{4} n^{3} x^{4} + {\left(b x + a\right)}^{n} a b^{3} n^{3} x^{3} + 6 \, {\left(b x + a\right)}^{n} b^{4} n^{2} x^{4} + 3 \, {\left(b x + a\right)}^{n} a b^{3} n^{2} x^{3} + 11 \, {\left(b x + a\right)}^{n} b^{4} n x^{4} - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} n^{2} x^{2} + 2 \, {\left(b x + a\right)}^{n} a b^{3} n x^{3} + 6 \, {\left(b x + a\right)}^{n} b^{4} x^{4} - 3 \, {\left(b x + a\right)}^{n} a^{2} b^{2} n x^{2} + 6 \, {\left(b x + a\right)}^{n} a^{3} b n x - 6 \, {\left(b x + a\right)}^{n} a^{4}}{b^{4} n^{4} + 10 \, b^{4} n^{3} + 35 \, b^{4} n^{2} + 50 \, b^{4} n + 24 \, b^{4}}"," ",0,"((b*x + a)^n*b^4*n^3*x^4 + (b*x + a)^n*a*b^3*n^3*x^3 + 6*(b*x + a)^n*b^4*n^2*x^4 + 3*(b*x + a)^n*a*b^3*n^2*x^3 + 11*(b*x + a)^n*b^4*n*x^4 - 3*(b*x + a)^n*a^2*b^2*n^2*x^2 + 2*(b*x + a)^n*a*b^3*n*x^3 + 6*(b*x + a)^n*b^4*x^4 - 3*(b*x + a)^n*a^2*b^2*n*x^2 + 6*(b*x + a)^n*a^3*b*n*x - 6*(b*x + a)^n*a^4)/(b^4*n^4 + 10*b^4*n^3 + 35*b^4*n^2 + 50*b^4*n + 24*b^4)","A",0
268,1,140,0,0.137826," ","integrate(x^2*arctanh(tanh(b*x+a))^n,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{3} n^{2} x^{3} + {\left(b x + a\right)}^{n} a b^{2} n^{2} x^{2} + 3 \, {\left(b x + a\right)}^{n} b^{3} n x^{3} + {\left(b x + a\right)}^{n} a b^{2} n x^{2} + 2 \, {\left(b x + a\right)}^{n} b^{3} x^{3} - 2 \, {\left(b x + a\right)}^{n} a^{2} b n x + 2 \, {\left(b x + a\right)}^{n} a^{3}}{b^{3} n^{3} + 6 \, b^{3} n^{2} + 11 \, b^{3} n + 6 \, b^{3}}"," ",0,"((b*x + a)^n*b^3*n^2*x^3 + (b*x + a)^n*a*b^2*n^2*x^2 + 3*(b*x + a)^n*b^3*n*x^3 + (b*x + a)^n*a*b^2*n*x^2 + 2*(b*x + a)^n*b^3*x^3 - 2*(b*x + a)^n*a^2*b*n*x + 2*(b*x + a)^n*a^3)/(b^3*n^3 + 6*b^3*n^2 + 11*b^3*n + 6*b^3)","A",0
269,1,76,0,0.141129," ","integrate(x*arctanh(tanh(b*x+a))^n,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b^{2} n x^{2} + {\left(b x + a\right)}^{n} a b n x + {\left(b x + a\right)}^{n} b^{2} x^{2} - {\left(b x + a\right)}^{n} a^{2}}{b^{2} n^{2} + 3 \, b^{2} n + 2 \, b^{2}}"," ",0,"((b*x + a)^n*b^2*n*x^2 + (b*x + a)^n*a*b*n*x + (b*x + a)^n*b^2*x^2 - (b*x + a)^n*a^2)/(b^2*n^2 + 3*b^2*n + 2*b^2)","A",0
270,1,28,0,0.137211," ","integrate(arctanh(tanh(b*x+a))^n,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{n} b x + {\left(b x + a\right)}^{n} a}{b n + b}"," ",0,"((b*x + a)^n*b*x + (b*x + a)^n*a)/(b*n + b)","A",0
271,0,0,0,0.000000," ","integrate(arctanh(tanh(b*x+a))^n/x,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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
274,0,0,0,0.000000," ","integrate(x^m*arccoth(tanh(b*x+a)),x, algorithm=""giac"")","\int x^{m} \operatorname{arcoth}\left(\tanh\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(x^m*arccoth(tanh(b*x + a)), x)","F",0
275,1,71,0,0.157735," ","integrate(x^2*arctanh(coth(b*x+a)),x, algorithm=""giac"")","-\frac{1}{12} \, b x^{4} + \frac{1}{6} \, x^{3} \log\left(-\frac{\frac{e^{\left(2 \, b x + 2 \, a\right)} + 1}{e^{\left(2 \, b x + 2 \, a\right)} - 1} + 1}{\frac{e^{\left(2 \, b x + 2 \, a\right)} + 1}{e^{\left(2 \, b x + 2 \, a\right)} - 1} - 1}\right)"," ",0,"-1/12*b*x^4 + 1/6*x^3*log(-((e^(2*b*x + 2*a) + 1)/(e^(2*b*x + 2*a) - 1) + 1)/((e^(2*b*x + 2*a) + 1)/(e^(2*b*x + 2*a) - 1) - 1))","B",0
276,1,71,0,0.152755," ","integrate(x*arctanh(coth(b*x+a)),x, algorithm=""giac"")","-\frac{1}{6} \, b x^{3} + \frac{1}{4} \, x^{2} \log\left(-\frac{\frac{e^{\left(2 \, b x + 2 \, a\right)} + 1}{e^{\left(2 \, b x + 2 \, a\right)} - 1} + 1}{\frac{e^{\left(2 \, b x + 2 \, a\right)} + 1}{e^{\left(2 \, b x + 2 \, a\right)} - 1} - 1}\right)"," ",0,"-1/6*b*x^3 + 1/4*x^2*log(-((e^(2*b*x + 2*a) + 1)/(e^(2*b*x + 2*a) - 1) + 1)/((e^(2*b*x + 2*a) + 1)/(e^(2*b*x + 2*a) - 1) - 1))","B",0
277,1,69,0,0.139942," ","integrate(arctanh(coth(b*x+a)),x, algorithm=""giac"")","-\frac{1}{2} \, b x^{2} + \frac{1}{2} \, x \log\left(-\frac{\frac{e^{\left(2 \, b x + 2 \, a\right)} + 1}{e^{\left(2 \, b x + 2 \, a\right)} - 1} + 1}{\frac{e^{\left(2 \, b x + 2 \, a\right)} + 1}{e^{\left(2 \, b x + 2 \, a\right)} - 1} - 1}\right)"," ",0,"-1/2*b*x^2 + 1/2*x*log(-((e^(2*b*x + 2*a) + 1)/(e^(2*b*x + 2*a) - 1) + 1)/((e^(2*b*x + 2*a) + 1)/(e^(2*b*x + 2*a) - 1) - 1))","B",0
278,1,15,0,0.143918," ","integrate(arctanh(coth(b*x+a))/x,x, algorithm=""giac"")","b x + \frac{1}{2} \, {\left(i \, \pi + 2 \, a\right)} \log\left(x\right)"," ",0,"b*x + 1/2*(I*pi + 2*a)*log(x)","C",0
279,1,70,0,0.156849," ","integrate(arctanh(coth(b*x+a))/x^2,x, algorithm=""giac"")","b \log\left({\left| x \right|}\right) - \frac{\log\left(-\frac{\frac{e^{\left(2 \, b x + 2 \, a\right)} + 1}{e^{\left(2 \, b x + 2 \, a\right)} - 1} + 1}{\frac{e^{\left(2 \, b x + 2 \, a\right)} + 1}{e^{\left(2 \, b x + 2 \, a\right)} - 1} - 1}\right)}{2 \, x}"," ",0,"b*log(abs(x)) - 1/2*log(-((e^(2*b*x + 2*a) + 1)/(e^(2*b*x + 2*a) - 1) + 1)/((e^(2*b*x + 2*a) + 1)/(e^(2*b*x + 2*a) - 1) - 1))/x","B",0
280,1,71,0,0.160778," ","integrate(arctanh(coth(b*x+a))/x^3,x, algorithm=""giac"")","-\frac{b}{2 \, x} - \frac{\log\left(-\frac{\frac{e^{\left(2 \, b x + 2 \, a\right)} + 1}{e^{\left(2 \, b x + 2 \, a\right)} - 1} + 1}{\frac{e^{\left(2 \, b x + 2 \, a\right)} + 1}{e^{\left(2 \, b x + 2 \, a\right)} - 1} - 1}\right)}{4 \, x^{2}}"," ",0,"-1/2*b/x - 1/4*log(-((e^(2*b*x + 2*a) + 1)/(e^(2*b*x + 2*a) - 1) + 1)/((e^(2*b*x + 2*a) + 1)/(e^(2*b*x + 2*a) - 1) - 1))/x^2","B",0
281,0,0,0,0.000000," ","integrate(arctanh(cosh(x)),x, algorithm=""giac"")","\int \operatorname{artanh}\left(\cosh\left(x\right)\right)\,{d x}"," ",0,"integrate(arctanh(cosh(x)), x)","F",0
282,0,0,0,0.000000," ","integrate(x*arctanh(cosh(x)),x, algorithm=""giac"")","\int x \operatorname{artanh}\left(\cosh\left(x\right)\right)\,{d x}"," ",0,"integrate(x*arctanh(cosh(x)), x)","F",0
283,0,0,0,0.000000," ","integrate(x^2*arctanh(cosh(x)),x, algorithm=""giac"")","\int x^{2} \operatorname{artanh}\left(\cosh\left(x\right)\right)\,{d x}"," ",0,"integrate(x^2*arctanh(cosh(x)), x)","F",0
284,0,0,0,0.000000," ","integrate(x^2*arctanh(c+d*tanh(b*x+a)),x, algorithm=""giac"")","\int x^{2} \operatorname{artanh}\left(d \tanh\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x^2*arctanh(d*tanh(b*x + a) + c), x)","F",0
285,0,0,0,0.000000," ","integrate(x*arctanh(c+d*tanh(b*x+a)),x, algorithm=""giac"")","\int x \operatorname{artanh}\left(d \tanh\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x*arctanh(d*tanh(b*x + a) + c), x)","F",0
286,0,0,0,0.000000," ","integrate(arctanh(c+d*tanh(b*x+a)),x, algorithm=""giac"")","\int \operatorname{artanh}\left(d \tanh\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(arctanh(d*tanh(b*x + a) + c), x)","F",0
287,0,0,0,0.000000," ","integrate(arctanh(c+d*tanh(b*x+a))/x,x, algorithm=""giac"")","\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
288,0,0,0,0.000000," ","integrate(x^3*arctanh(1+d+d*tanh(b*x+a)),x, algorithm=""giac"")","\int x^{3} \operatorname{artanh}\left(d \tanh\left(b x + a\right) + d + 1\right)\,{d x}"," ",0,"integrate(x^3*arctanh(d*tanh(b*x + a) + d + 1), x)","F",0
289,0,0,0,0.000000," ","integrate(x^2*arctanh(1+d+d*tanh(b*x+a)),x, algorithm=""giac"")","\int x^{2} \operatorname{artanh}\left(d \tanh\left(b x + a\right) + d + 1\right)\,{d x}"," ",0,"integrate(x^2*arctanh(d*tanh(b*x + a) + d + 1), x)","F",0
290,0,0,0,0.000000," ","integrate(x*arctanh(1+d+d*tanh(b*x+a)),x, algorithm=""giac"")","\int x \operatorname{artanh}\left(d \tanh\left(b x + a\right) + d + 1\right)\,{d x}"," ",0,"integrate(x*arctanh(d*tanh(b*x + a) + d + 1), x)","F",0
291,0,0,0,0.000000," ","integrate(arctanh(1+d+d*tanh(b*x+a)),x, algorithm=""giac"")","\int \operatorname{artanh}\left(d \tanh\left(b x + a\right) + d + 1\right)\,{d x}"," ",0,"integrate(arctanh(d*tanh(b*x + a) + d + 1), x)","F",0
292,0,0,0,0.000000," ","integrate(arctanh(1+d+d*tanh(b*x+a))/x,x, algorithm=""giac"")","\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
293,0,0,0,0.000000," ","integrate(-x^3*arctanh(-1+d+d*tanh(b*x+a)),x, algorithm=""giac"")","\int -x^{3} \operatorname{artanh}\left(d \tanh\left(b x + a\right) + d - 1\right)\,{d x}"," ",0,"integrate(-x^3*arctanh(d*tanh(b*x + a) + d - 1), x)","F",0
294,0,0,0,0.000000," ","integrate(-x^2*arctanh(-1+d+d*tanh(b*x+a)),x, algorithm=""giac"")","\int -x^{2} \operatorname{artanh}\left(d \tanh\left(b x + a\right) + d - 1\right)\,{d x}"," ",0,"integrate(-x^2*arctanh(d*tanh(b*x + a) + d - 1), x)","F",0
295,0,0,0,0.000000," ","integrate(-x*arctanh(-1+d+d*tanh(b*x+a)),x, algorithm=""giac"")","\int -x \operatorname{artanh}\left(d \tanh\left(b x + a\right) + d - 1\right)\,{d x}"," ",0,"integrate(-x*arctanh(d*tanh(b*x + a) + d - 1), x)","F",0
296,0,0,0,0.000000," ","integrate(-arctanh(-1+d+d*tanh(b*x+a)),x, algorithm=""giac"")","\int -\operatorname{artanh}\left(d \tanh\left(b x + a\right) + d - 1\right)\,{d x}"," ",0,"integrate(-arctanh(d*tanh(b*x + a) + d - 1), x)","F",0
297,0,0,0,0.000000," ","integrate(-arctanh(-1+d+d*tanh(b*x+a))/x,x, algorithm=""giac"")","\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
298,0,0,0,0.000000," ","integrate(x^2*arctanh(c+d*coth(b*x+a)),x, algorithm=""giac"")","\int x^{2} \operatorname{artanh}\left(d \coth\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x^2*arctanh(d*coth(b*x + a) + c), x)","F",0
299,0,0,0,0.000000," ","integrate(x*arctanh(c+d*coth(b*x+a)),x, algorithm=""giac"")","\int x \operatorname{artanh}\left(d \coth\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x*arctanh(d*coth(b*x + a) + c), x)","F",0
300,0,0,0,0.000000," ","integrate(arctanh(c+d*coth(b*x+a)),x, algorithm=""giac"")","\int \operatorname{artanh}\left(d \coth\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(arctanh(d*coth(b*x + a) + c), x)","F",0
301,0,0,0,0.000000," ","integrate(arctanh(c+d*coth(b*x+a))/x,x, algorithm=""giac"")","\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
302,0,0,0,0.000000," ","integrate(x^3*arctanh(1+d+d*coth(b*x+a)),x, algorithm=""giac"")","\int x^{3} \operatorname{artanh}\left(d \coth\left(b x + a\right) + d + 1\right)\,{d x}"," ",0,"integrate(x^3*arctanh(d*coth(b*x + a) + d + 1), x)","F",0
303,0,0,0,0.000000," ","integrate(x^2*arctanh(1+d+d*coth(b*x+a)),x, algorithm=""giac"")","\int x^{2} \operatorname{artanh}\left(d \coth\left(b x + a\right) + d + 1\right)\,{d x}"," ",0,"integrate(x^2*arctanh(d*coth(b*x + a) + d + 1), x)","F",0
304,0,0,0,0.000000," ","integrate(x*arctanh(1+d+d*coth(b*x+a)),x, algorithm=""giac"")","\int x \operatorname{artanh}\left(d \coth\left(b x + a\right) + d + 1\right)\,{d x}"," ",0,"integrate(x*arctanh(d*coth(b*x + a) + d + 1), x)","F",0
305,0,0,0,0.000000," ","integrate(arctanh(1+d+d*coth(b*x+a)),x, algorithm=""giac"")","\int \operatorname{artanh}\left(d \coth\left(b x + a\right) + d + 1\right)\,{d x}"," ",0,"integrate(arctanh(d*coth(b*x + a) + d + 1), x)","F",0
306,0,0,0,0.000000," ","integrate(arctanh(1+d+d*coth(b*x+a))/x,x, algorithm=""giac"")","\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
307,0,0,0,0.000000," ","integrate(-x^3*arctanh(-1+d+d*coth(b*x+a)),x, algorithm=""giac"")","\int -x^{3} \operatorname{artanh}\left(d \coth\left(b x + a\right) + d - 1\right)\,{d x}"," ",0,"integrate(-x^3*arctanh(d*coth(b*x + a) + d - 1), x)","F",0
308,0,0,0,0.000000," ","integrate(-x^2*arctanh(-1+d+d*coth(b*x+a)),x, algorithm=""giac"")","\int -x^{2} \operatorname{artanh}\left(d \coth\left(b x + a\right) + d - 1\right)\,{d x}"," ",0,"integrate(-x^2*arctanh(d*coth(b*x + a) + d - 1), x)","F",0
309,0,0,0,0.000000," ","integrate(-x*arctanh(-1+d+d*coth(b*x+a)),x, algorithm=""giac"")","\int -x \operatorname{artanh}\left(d \coth\left(b x + a\right) + d - 1\right)\,{d x}"," ",0,"integrate(-x*arctanh(d*coth(b*x + a) + d - 1), x)","F",0
310,0,0,0,0.000000," ","integrate(-arctanh(-1+d+d*coth(b*x+a)),x, algorithm=""giac"")","\int -\operatorname{artanh}\left(d \coth\left(b x + a\right) + d - 1\right)\,{d x}"," ",0,"integrate(-arctanh(d*coth(b*x + a) + d - 1), x)","F",0
311,0,0,0,0.000000," ","integrate(-arctanh(-1+d+d*coth(b*x+a))/x,x, algorithm=""giac"")","\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=""giac"")","\int {\left(f x + e\right)}^{3} \operatorname{artanh}\left(\tan\left(b x + a\right)\right)\,{d x}"," ",0,"integrate((f*x + e)^3*arctanh(tan(b*x + a)), x)","F",0
313,0,0,0,0.000000," ","integrate((f*x+e)^2*arctanh(tan(b*x+a)),x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} \operatorname{artanh}\left(\tan\left(b x + a\right)\right)\,{d x}"," ",0,"integrate((f*x + e)^2*arctanh(tan(b*x + a)), x)","F",0
314,0,0,0,0.000000," ","integrate((f*x+e)*arctanh(tan(b*x+a)),x, algorithm=""giac"")","\int {\left(f x + e\right)} \operatorname{artanh}\left(\tan\left(b x + a\right)\right)\,{d x}"," ",0,"integrate((f*x + e)*arctanh(tan(b*x + a)), x)","F",0
315,0,0,0,0.000000," ","integrate(arctanh(tan(b*x+a)),x, algorithm=""giac"")","\int \operatorname{artanh}\left(\tan\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(arctanh(tan(b*x + a)), x)","F",0
316,0,0,0,0.000000," ","integrate(arctanh(tan(b*x+a))/(f*x+e),x, algorithm=""giac"")","\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=""giac"")","\int x^{2} \operatorname{artanh}\left(d \tan\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x^2*arctanh(d*tan(b*x + a) + c), x)","F",0
318,0,0,0,0.000000," ","integrate(x*arctanh(c+d*tan(b*x+a)),x, algorithm=""giac"")","\int x \operatorname{artanh}\left(d \tan\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x*arctanh(d*tan(b*x + a) + c), x)","F",0
319,0,0,0,0.000000," ","integrate(arctanh(c+d*tan(b*x+a)),x, algorithm=""giac"")","\int \operatorname{artanh}\left(d \tan\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(arctanh(d*tan(b*x + a) + c), x)","F",0
320,0,0,0,0.000000," ","integrate(arctanh(c+d*tan(b*x+a))/x,x, algorithm=""giac"")","\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
321,0,0,0,0.000000," ","integrate(x^2*arctanh(1-I*d+d*tan(b*x+a)),x, algorithm=""giac"")","\int x^{2} \operatorname{artanh}\left(d \tan\left(b x + a\right) - i \, d + 1\right)\,{d x}"," ",0,"integrate(x^2*arctanh(d*tan(b*x + a) - I*d + 1), x)","F",0
322,0,0,0,0.000000," ","integrate(x*arctanh(1-I*d+d*tan(b*x+a)),x, algorithm=""giac"")","\int x \operatorname{artanh}\left(d \tan\left(b x + a\right) - i \, d + 1\right)\,{d x}"," ",0,"integrate(x*arctanh(d*tan(b*x + a) - I*d + 1), x)","F",0
323,0,0,0,0.000000," ","integrate(arctanh(1-I*d+d*tan(b*x+a)),x, algorithm=""giac"")","\int \operatorname{artanh}\left(d \tan\left(b x + a\right) - i \, d + 1\right)\,{d x}"," ",0,"integrate(arctanh(d*tan(b*x + a) - I*d + 1), x)","F",0
324,0,0,0,0.000000," ","integrate(arctanh(1-I*d+d*tan(b*x+a))/x,x, algorithm=""giac"")","\int \frac{\operatorname{artanh}\left(d \tan\left(b x + a\right) - i \, d + 1\right)}{x}\,{d x}"," ",0,"integrate(arctanh(d*tan(b*x + a) - I*d + 1)/x, x)","F",0
325,0,0,0,0.000000," ","integrate(-x^2*arctanh(-1-I*d+d*tan(b*x+a)),x, algorithm=""giac"")","\int -x^{2} \operatorname{artanh}\left(d \tan\left(b x + a\right) - i \, d - 1\right)\,{d x}"," ",0,"integrate(-x^2*arctanh(d*tan(b*x + a) - I*d - 1), x)","F",0
326,0,0,0,0.000000," ","integrate(-x*arctanh(-1-I*d+d*tan(b*x+a)),x, algorithm=""giac"")","\int -x \operatorname{artanh}\left(d \tan\left(b x + a\right) - i \, d - 1\right)\,{d x}"," ",0,"integrate(-x*arctanh(d*tan(b*x + a) - I*d - 1), x)","F",0
327,0,0,0,0.000000," ","integrate(-arctanh(-1-I*d+d*tan(b*x+a)),x, algorithm=""giac"")","\int -\operatorname{artanh}\left(d \tan\left(b x + a\right) - i \, d - 1\right)\,{d x}"," ",0,"integrate(-arctanh(d*tan(b*x + a) - I*d - 1), x)","F",0
328,0,0,0,0.000000," ","integrate(-arctanh(-1-I*d+d*tan(b*x+a))/x,x, algorithm=""giac"")","\int -\frac{\operatorname{artanh}\left(d \tan\left(b x + a\right) - i \, d - 1\right)}{x}\,{d x}"," ",0,"integrate(-arctanh(d*tan(b*x + a) - I*d - 1)/x, x)","F",0
329,0,0,0,0.000000," ","integrate((f*x+e)^3*arctanh(cot(b*x+a)),x, algorithm=""giac"")","\int {\left(f x + e\right)}^{3} \operatorname{artanh}\left(\cot\left(b x + a\right)\right)\,{d x}"," ",0,"integrate((f*x + e)^3*arctanh(cot(b*x + a)), x)","F",0
330,0,0,0,0.000000," ","integrate((f*x+e)^2*arctanh(cot(b*x+a)),x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} \operatorname{artanh}\left(\cot\left(b x + a\right)\right)\,{d x}"," ",0,"integrate((f*x + e)^2*arctanh(cot(b*x + a)), x)","F",0
331,0,0,0,0.000000," ","integrate((f*x+e)*arctanh(cot(b*x+a)),x, algorithm=""giac"")","\int {\left(f x + e\right)} \operatorname{artanh}\left(\cot\left(b x + a\right)\right)\,{d x}"," ",0,"integrate((f*x + e)*arctanh(cot(b*x + a)), x)","F",0
332,0,0,0,0.000000," ","integrate(arctanh(cot(b*x+a)),x, algorithm=""giac"")","\int \operatorname{artanh}\left(\cot\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(arctanh(cot(b*x + a)), x)","F",0
333,0,0,0,0.000000," ","integrate(arctanh(cot(b*x+a))/(f*x+e),x, algorithm=""giac"")","\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=""giac"")","\int x^{2} \operatorname{artanh}\left(d \cot\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x^2*arctanh(d*cot(b*x + a) + c), x)","F",0
335,0,0,0,0.000000," ","integrate(x*arctanh(c+d*cot(b*x+a)),x, algorithm=""giac"")","\int x \operatorname{artanh}\left(d \cot\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(x*arctanh(d*cot(b*x + a) + c), x)","F",0
336,0,0,0,0.000000," ","integrate(arctanh(c+d*cot(b*x+a)),x, algorithm=""giac"")","\int \operatorname{artanh}\left(d \cot\left(b x + a\right) + c\right)\,{d x}"," ",0,"integrate(arctanh(d*cot(b*x + a) + c), x)","F",0
337,0,0,0,0.000000," ","integrate(arctanh(c+d*cot(b*x+a))/x,x, algorithm=""giac"")","\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
338,0,0,0,0.000000," ","integrate(x^2*arctanh(1+I*d+d*cot(b*x+a)),x, algorithm=""giac"")","\int x^{2} \operatorname{artanh}\left(d \cot\left(b x + a\right) + i \, d + 1\right)\,{d x}"," ",0,"integrate(x^2*arctanh(d*cot(b*x + a) + I*d + 1), x)","F",0
339,0,0,0,0.000000," ","integrate(x*arctanh(1+I*d+d*cot(b*x+a)),x, algorithm=""giac"")","\int x \operatorname{artanh}\left(d \cot\left(b x + a\right) + i \, d + 1\right)\,{d x}"," ",0,"integrate(x*arctanh(d*cot(b*x + a) + I*d + 1), x)","F",0
340,0,0,0,0.000000," ","integrate(arctanh(1+I*d+d*cot(b*x+a)),x, algorithm=""giac"")","\int \operatorname{artanh}\left(d \cot\left(b x + a\right) + i \, d + 1\right)\,{d x}"," ",0,"integrate(arctanh(d*cot(b*x + a) + I*d + 1), x)","F",0
341,0,0,0,0.000000," ","integrate(arctanh(1+I*d+d*cot(b*x+a))/x,x, algorithm=""giac"")","\int \frac{\operatorname{artanh}\left(d \cot\left(b x + a\right) + i \, d + 1\right)}{x}\,{d x}"," ",0,"integrate(arctanh(d*cot(b*x + a) + I*d + 1)/x, x)","F",0
342,0,0,0,0.000000," ","integrate(-x^2*arctanh(-1+I*d+d*cot(b*x+a)),x, algorithm=""giac"")","\int -x^{2} \operatorname{artanh}\left(d \cot\left(b x + a\right) + i \, d - 1\right)\,{d x}"," ",0,"integrate(-x^2*arctanh(d*cot(b*x + a) + I*d - 1), x)","F",0
343,0,0,0,0.000000," ","integrate(-x*arctanh(-1+I*d+d*cot(b*x+a)),x, algorithm=""giac"")","\int -x \operatorname{artanh}\left(d \cot\left(b x + a\right) + i \, d - 1\right)\,{d x}"," ",0,"integrate(-x*arctanh(d*cot(b*x + a) + I*d - 1), x)","F",0
344,0,0,0,0.000000," ","integrate(-arctanh(-1+I*d+d*cot(b*x+a)),x, algorithm=""giac"")","\int -\operatorname{artanh}\left(d \cot\left(b x + a\right) + i \, d - 1\right)\,{d x}"," ",0,"integrate(-arctanh(d*cot(b*x + a) + I*d - 1), x)","F",0
345,0,0,0,0.000000," ","integrate(-arctanh(-1+I*d+d*cot(b*x+a))/x,x, algorithm=""giac"")","\int -\frac{\operatorname{artanh}\left(d \cot\left(b x + a\right) + i \, d - 1\right)}{x}\,{d x}"," ",0,"integrate(-arctanh(d*cot(b*x + a) + I*d - 1)/x, x)","F",0
346,0,0,0,0.000000," ","integrate(arctanh(exp(x)),x, algorithm=""giac"")","\int \operatorname{artanh}\left(e^{x}\right)\,{d x}"," ",0,"integrate(arctanh(e^x), x)","F",0
347,0,0,0,0.000000," ","integrate(x*arctanh(exp(x)),x, algorithm=""giac"")","\int x \operatorname{artanh}\left(e^{x}\right)\,{d x}"," ",0,"integrate(x*arctanh(e^x), x)","F",0
348,0,0,0,0.000000," ","integrate(x^2*arctanh(exp(x)),x, algorithm=""giac"")","\int x^{2} \operatorname{artanh}\left(e^{x}\right)\,{d x}"," ",0,"integrate(x^2*arctanh(e^x), x)","F",0
349,0,0,0,0.000000," ","integrate(arctanh(exp(b*x+a)),x, algorithm=""giac"")","\int \operatorname{artanh}\left(e^{\left(b x + a\right)}\right)\,{d x}"," ",0,"integrate(arctanh(e^(b*x + a)), x)","F",0
350,0,0,0,0.000000," ","integrate(x*arctanh(exp(b*x+a)),x, algorithm=""giac"")","\int x \operatorname{artanh}\left(e^{\left(b x + a\right)}\right)\,{d x}"," ",0,"integrate(x*arctanh(e^(b*x + a)), x)","F",0
351,0,0,0,0.000000," ","integrate(x^2*arctanh(exp(b*x+a)),x, algorithm=""giac"")","\int x^{2} \operatorname{artanh}\left(e^{\left(b x + a\right)}\right)\,{d x}"," ",0,"integrate(x^2*arctanh(e^(b*x + a)), x)","F",0
352,-2,0,0,0.000000," ","integrate(arctanh(a+b*f^(d*x+c)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 1.8Unable to divide, perhaps due to rounding error%%%{1,[0,1,2,0,0,0]%%%}+%%%{2,[0,1,1,1,1,0]%%%}+%%%{-2,[0,1,1,0,0,0]%%%}+%%%{1,[0,1,0,2,0,1]%%%}+%%%{-2,[0,1,0,1,1,0]%%%}+%%%{1,[0,1,0,0,0,0]%%%} / %%%{4,[0,0,0,2,0,0]%%%} Error: Bad Argument Value","F(-2)",0
353,0,0,0,0.000000," ","integrate(x*arctanh(a+b*f^(d*x+c)),x, algorithm=""giac"")","\int x \operatorname{artanh}\left(b f^{d x + c} + a\right)\,{d x}"," ",0,"integrate(x*arctanh(b*f^(d*x + c) + a), x)","F",0
354,0,0,0,0.000000," ","integrate(x^2*arctanh(a+b*f^(d*x+c)),x, algorithm=""giac"")","\int x^{2} \operatorname{artanh}\left(b f^{d x + c} + a\right)\,{d x}"," ",0,"integrate(x^2*arctanh(b*f^(d*x + c) + a), x)","F",0
355,1,157,0,0.430829," ","integrate(exp(c*(b*x+a))*arctanh(sinh(b*c*x+a*c)),x, algorithm=""giac"")","\frac{e^{\left({\left(b x + a\right)} c\right)} \log\left(-\frac{e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)} + 2}{e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)} - 2}\right)}{2 \, b c} + \frac{\sqrt{2} \log\left(\frac{{\left| -4 \, \sqrt{2} + 2 \, e^{\left(2 \, b c x + 2 \, a c\right)} - 6 \right|}}{{\left| 4 \, \sqrt{2} + 2 \, e^{\left(2 \, b c x + 2 \, a c\right)} - 6 \right|}}\right) + \log\left({\left| e^{\left(4 \, b c x + 4 \, a c\right)} - 6 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1 \right|}\right)}{2 \, b c}"," ",0,"1/2*e^((b*x + a)*c)*log(-(e^(b*c*x + a*c) - e^(-b*c*x - a*c) + 2)/(e^(b*c*x + a*c) - e^(-b*c*x - a*c) - 2))/(b*c) + 1/2*(sqrt(2)*log(abs(-4*sqrt(2) + 2*e^(2*b*c*x + 2*a*c) - 6)/abs(4*sqrt(2) + 2*e^(2*b*c*x + 2*a*c) - 6)) + log(abs(e^(4*b*c*x + 4*a*c) - 6*e^(2*b*c*x + 2*a*c) + 1)))/(b*c)","A",0
356,1,147,0,0.205784," ","integrate(exp(c*(b*x+a))*arctanh(cosh(b*c*x+a*c)),x, algorithm=""giac"")","\frac{{\left(e^{\left(b c x\right)} \log\left(-\frac{e^{\left(2 \, b c x + 2 \, a c\right)}}{e^{\left(2 \, b c x + 2 \, a c\right)} - 2 \, e^{\left(b c x + a c\right)} + 1} - \frac{2 \, e^{\left(b c x + a c\right)}}{e^{\left(2 \, b c x + 2 \, a c\right)} - 2 \, e^{\left(b c x + a c\right)} + 1} - \frac{1}{e^{\left(2 \, b c x + 2 \, a c\right)} - 2 \, e^{\left(b c x + a c\right)} + 1}\right) + 2 \, e^{\left(-a c\right)} \log\left({\left| e^{\left(2 \, b c x + 2 \, a c\right)} - 1 \right|}\right)\right)} e^{\left(a c\right)}}{2 \, b c}"," ",0,"1/2*(e^(b*c*x)*log(-e^(2*b*c*x + 2*a*c)/(e^(2*b*c*x + 2*a*c) - 2*e^(b*c*x + a*c) + 1) - 2*e^(b*c*x + a*c)/(e^(2*b*c*x + 2*a*c) - 2*e^(b*c*x + a*c) + 1) - 1/(e^(2*b*c*x + 2*a*c) - 2*e^(b*c*x + a*c) + 1)) + 2*e^(-a*c)*log(abs(e^(2*b*c*x + 2*a*c) - 1)))*e^(a*c)/(b*c)","B",0
357,1,35,0,0.142249," ","integrate(exp(c*(b*x+a))*arctanh(tanh(b*c*x+a*c)),x, algorithm=""giac"")","\frac{{\left(b^{2} c^{2} x + a b c^{2} - b c\right)} e^{\left(b c x + a c\right)}}{b^{2} c^{2}}"," ",0,"(b^2*c^2*x + a*b*c^2 - b*c)*e^(b*c*x + a*c)/(b^2*c^2)","A",0
358,1,40,0,0.129975," ","integrate(exp(c*(b*x+a))*arctanh(coth(b*c*x+a*c)),x, algorithm=""giac"")","\frac{{\left(e^{\left(b c x\right)} \log\left(-e^{\left(2 \, b c x + 2 \, a c\right)}\right) - 2 \, e^{\left(b c x\right)}\right)} e^{\left(a c\right)}}{2 \, b c}"," ",0,"1/2*(e^(b*c*x)*log(-e^(2*b*c*x + 2*a*c)) - 2*e^(b*c*x))*e^(a*c)/(b*c)","A",0
359,1,98,0,0.316818," ","integrate(exp(c*(b*x+a))*arctanh(sech(b*c*x+a*c)),x, algorithm=""giac"")","\frac{e^{\left({\left(b x + a\right)} c\right)} \log\left(-\frac{\frac{2}{e^{\left(b c x + a c\right)} + e^{\left(-b c x - a c\right)}} + 1}{\frac{2}{e^{\left(b c x + a c\right)} + e^{\left(-b c x - a c\right)}} - 1}\right)}{2 \, b c} + \frac{\log\left({\left| e^{\left(2 \, b c x + 2 \, a c\right)} - 1 \right|}\right)}{b c}"," ",0,"1/2*e^((b*x + a)*c)*log(-(2/(e^(b*c*x + a*c) + e^(-b*c*x - a*c)) + 1)/(2/(e^(b*c*x + a*c) + e^(-b*c*x - a*c)) - 1))/(b*c) + log(abs(e^(2*b*c*x + 2*a*c) - 1))/(b*c)","B",0
360,1,167,0,0.427443," ","integrate(exp(c*(b*x+a))*arctanh(csch(b*c*x+a*c)),x, algorithm=""giac"")","\frac{e^{\left({\left(b x + a\right)} c\right)} \log\left(-\frac{\frac{2}{e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}} + 1}{\frac{2}{e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}} - 1}\right)}{2 \, b c} + \frac{\sqrt{2} \log\left(\frac{{\left| -4 \, \sqrt{2} + 2 \, e^{\left(2 \, b c x + 2 \, a c\right)} - 6 \right|}}{{\left| 4 \, \sqrt{2} + 2 \, e^{\left(2 \, b c x + 2 \, a c\right)} - 6 \right|}}\right) + \log\left({\left| e^{\left(4 \, b c x + 4 \, a c\right)} - 6 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1 \right|}\right)}{2 \, b c}"," ",0,"1/2*e^((b*x + a)*c)*log(-(2/(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) + 1)/(2/(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) - 1))/(b*c) + 1/2*(sqrt(2)*log(abs(-4*sqrt(2) + 2*e^(2*b*c*x + 2*a*c) - 6)/abs(4*sqrt(2) + 2*e^(2*b*c*x + 2*a*c) - 6)) + log(abs(e^(4*b*c*x + 4*a*c) - 6*e^(2*b*c*x + 2*a*c) + 1)))/(b*c)","A",0
361,0,0,0,0.000000," ","integrate((a+b*arctanh(c*x^n))*(d+e*log(f*x^m))/x,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{artanh}\left(c x^{n}\right) + a\right)} {\left(e \log\left(f x^{m}\right) + d\right)}}{x}\,{d x}"," ",0,"integrate((b*arctanh(c*x^n) + a)*(e*log(f*x^m) + d)/x, x)","F",0
