1,1,334,0,0.147775," ","integrate((a+b*csch(d*x+c)^2)^4,x, algorithm=""giac"")","\frac{105 \, {\left(d x + c\right)} a^{4} - \frac{8 \, {\left(105 \, a^{3} b e^{\left(12 \, d x + 12 \, c\right)} - 630 \, a^{3} b e^{\left(10 \, d x + 10 \, c\right)} + 315 \, a^{2} b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 1575 \, a^{3} b e^{\left(8 \, d x + 8 \, c\right)} - 1365 \, a^{2} b^{2} e^{\left(8 \, d x + 8 \, c\right)} + 560 \, a b^{3} e^{\left(8 \, d x + 8 \, c\right)} - 2100 \, a^{3} b e^{\left(6 \, d x + 6 \, c\right)} + 2310 \, a^{2} b^{2} e^{\left(6 \, d x + 6 \, c\right)} - 1400 \, a b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 420 \, b^{4} e^{\left(6 \, d x + 6 \, c\right)} + 1575 \, a^{3} b e^{\left(4 \, d x + 4 \, c\right)} - 1890 \, a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 1176 \, a b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 252 \, b^{4} e^{\left(4 \, d x + 4 \, c\right)} - 630 \, a^{3} b e^{\left(2 \, d x + 2 \, c\right)} + 735 \, a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 392 \, a b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 84 \, b^{4} e^{\left(2 \, d x + 2 \, c\right)} + 105 \, a^{3} b - 105 \, a^{2} b^{2} + 56 \, a b^{3} - 12 \, b^{4}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{7}}}{105 \, d}"," ",0,"1/105*(105*(d*x + c)*a^4 - 8*(105*a^3*b*e^(12*d*x + 12*c) - 630*a^3*b*e^(10*d*x + 10*c) + 315*a^2*b^2*e^(10*d*x + 10*c) + 1575*a^3*b*e^(8*d*x + 8*c) - 1365*a^2*b^2*e^(8*d*x + 8*c) + 560*a*b^3*e^(8*d*x + 8*c) - 2100*a^3*b*e^(6*d*x + 6*c) + 2310*a^2*b^2*e^(6*d*x + 6*c) - 1400*a*b^3*e^(6*d*x + 6*c) + 420*b^4*e^(6*d*x + 6*c) + 1575*a^3*b*e^(4*d*x + 4*c) - 1890*a^2*b^2*e^(4*d*x + 4*c) + 1176*a*b^3*e^(4*d*x + 4*c) - 252*b^4*e^(4*d*x + 4*c) - 630*a^3*b*e^(2*d*x + 2*c) + 735*a^2*b^2*e^(2*d*x + 2*c) - 392*a*b^3*e^(2*d*x + 2*c) + 84*b^4*e^(2*d*x + 2*c) + 105*a^3*b - 105*a^2*b^2 + 56*a*b^3 - 12*b^4)/(e^(2*d*x + 2*c) - 1)^7)/d","B",0
2,1,182,0,0.151567," ","integrate((a+b*csch(d*x+c)^2)^3,x, algorithm=""giac"")","\frac{15 \, {\left(d x + c\right)} a^{3} - \frac{2 \, {\left(45 \, a^{2} b e^{\left(8 \, d x + 8 \, c\right)} - 180 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} + 90 \, a b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 270 \, a^{2} b e^{\left(4 \, d x + 4 \, c\right)} - 210 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} + 80 \, b^{3} e^{\left(4 \, d x + 4 \, c\right)} - 180 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} + 150 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 40 \, b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 45 \, a^{2} b - 30 \, a b^{2} + 8 \, b^{3}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{5}}}{15 \, d}"," ",0,"1/15*(15*(d*x + c)*a^3 - 2*(45*a^2*b*e^(8*d*x + 8*c) - 180*a^2*b*e^(6*d*x + 6*c) + 90*a*b^2*e^(6*d*x + 6*c) + 270*a^2*b*e^(4*d*x + 4*c) - 210*a*b^2*e^(4*d*x + 4*c) + 80*b^3*e^(4*d*x + 4*c) - 180*a^2*b*e^(2*d*x + 2*c) + 150*a*b^2*e^(2*d*x + 2*c) - 40*b^3*e^(2*d*x + 2*c) + 45*a^2*b - 30*a*b^2 + 8*b^3)/(e^(2*d*x + 2*c) - 1)^5)/d","B",0
3,1,81,0,0.129343," ","integrate((a+b*csch(d*x+c)^2)^2,x, algorithm=""giac"")","\frac{3 \, {\left(d x + c\right)} a^{2} - \frac{4 \, {\left(3 \, a b e^{\left(4 \, d x + 4 \, c\right)} - 6 \, a b e^{\left(2 \, d x + 2 \, c\right)} + 3 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a b - b^{2}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*(d*x + c)*a^2 - 4*(3*a*b*e^(4*d*x + 4*c) - 6*a*b*e^(2*d*x + 2*c) + 3*b^2*e^(2*d*x + 2*c) + 3*a*b - b^2)/(e^(2*d*x + 2*c) - 1)^3)/d","A",0
4,1,23,0,0.114120," ","integrate(a+b*csch(d*x+c)^2,x, algorithm=""giac"")","a x - \frac{2 \, b}{d {\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}}"," ",0,"a*x - 2*b/(d*(e^(2*d*x + 2*c) - 1))","A",0
5,1,64,0,0.383165," ","integrate(1/(a+b*csch(d*x+c)^2),x, algorithm=""giac"")","-\frac{\frac{b \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} - a + 2 \, b}{2 \, \sqrt{a b - b^{2}}}\right)}{\sqrt{a b - b^{2}} a} - \frac{d x + c}{a}}{d}"," ",0,"-(b*arctan(1/2*(a*e^(2*d*x + 2*c) - a + 2*b)/sqrt(a*b - b^2))/(sqrt(a*b - b^2)*a) - (d*x + c)/a)/d","A",0
6,1,166,0,0.441897," ","integrate(1/(a+b*csch(d*x+c)^2)^2,x, algorithm=""giac"")","-\frac{\frac{{\left(3 \, a b - 2 \, b^{2}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} - a + 2 \, b}{2 \, \sqrt{a b - b^{2}}}\right)}{{\left(a^{3} - a^{2} b\right)} \sqrt{a b - b^{2}}} - \frac{2 \, {\left(a b e^{\left(2 \, d x + 2 \, c\right)} - 2 \, b^{2} e^{\left(2 \, d x + 2 \, c\right)} - a b\right)}}{{\left(a^{3} - a^{2} b\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}} - \frac{2 \, {\left(d x + c\right)}}{a^{2}}}{2 \, d}"," ",0,"-1/2*((3*a*b - 2*b^2)*arctan(1/2*(a*e^(2*d*x + 2*c) - a + 2*b)/sqrt(a*b - b^2))/((a^3 - a^2*b)*sqrt(a*b - b^2)) - 2*(a*b*e^(2*d*x + 2*c) - 2*b^2*e^(2*d*x + 2*c) - a*b)/((a^3 - a^2*b)*(a*e^(4*d*x + 4*c) - 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)) - 2*(d*x + c)/a^2)/d","A",0
7,1,327,0,0.973389," ","integrate(1/(a+b*csch(d*x+c)^2)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(15 \, a^{2} b - 20 \, a b^{2} + 8 \, b^{3}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} - a + 2 \, b}{2 \, \sqrt{a b - b^{2}}}\right)}{{\left(a^{5} - 2 \, a^{4} b + a^{3} b^{2}\right)} \sqrt{a b - b^{2}}} - \frac{2 \, {\left(9 \, a^{3} b e^{\left(6 \, d x + 6 \, c\right)} - 28 \, a^{2} b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 16 \, a b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 27 \, a^{3} b e^{\left(4 \, d x + 4 \, c\right)} + 90 \, a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 120 \, a b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 48 \, b^{4} e^{\left(4 \, d x + 4 \, c\right)} + 27 \, a^{3} b e^{\left(2 \, d x + 2 \, c\right)} - 68 \, a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 32 \, a b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 9 \, a^{3} b + 6 \, a^{2} b^{2}\right)}}{{\left(a^{5} - 2 \, a^{4} b + a^{3} b^{2}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{2}} - \frac{8 \, {\left(d x + c\right)}}{a^{3}}}{8 \, d}"," ",0,"-1/8*((15*a^2*b - 20*a*b^2 + 8*b^3)*arctan(1/2*(a*e^(2*d*x + 2*c) - a + 2*b)/sqrt(a*b - b^2))/((a^5 - 2*a^4*b + a^3*b^2)*sqrt(a*b - b^2)) - 2*(9*a^3*b*e^(6*d*x + 6*c) - 28*a^2*b^2*e^(6*d*x + 6*c) + 16*a*b^3*e^(6*d*x + 6*c) - 27*a^3*b*e^(4*d*x + 4*c) + 90*a^2*b^2*e^(4*d*x + 4*c) - 120*a*b^3*e^(4*d*x + 4*c) + 48*b^4*e^(4*d*x + 4*c) + 27*a^3*b*e^(2*d*x + 2*c) - 68*a^2*b^2*e^(2*d*x + 2*c) + 32*a*b^3*e^(2*d*x + 2*c) - 9*a^3*b + 6*a^2*b^2)/((a^5 - 2*a^4*b + a^3*b^2)*(a*e^(4*d*x + 4*c) - 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^2) - 8*(d*x + c)/a^3)/d","B",0
8,1,596,0,0.912466," ","integrate(1/(a+b*csch(d*x+c)^2)^4,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(35 \, a^{3} b - 70 \, a^{2} b^{2} + 56 \, a b^{3} - 16 \, b^{4}\right)} \arctan\left(\frac{a e^{\left(2 \, d x + 2 \, c\right)} - a + 2 \, b}{2 \, \sqrt{a b - b^{2}}}\right)}{{\left(a^{7} - 3 \, a^{6} b + 3 \, a^{5} b^{2} - a^{4} b^{3}\right)} \sqrt{a b - b^{2}}} - \frac{2 \, {\left(87 \, a^{5} b e^{\left(10 \, d x + 10 \, c\right)} - 366 \, a^{4} b^{2} e^{\left(10 \, d x + 10 \, c\right)} + 408 \, a^{3} b^{3} e^{\left(10 \, d x + 10 \, c\right)} - 144 \, a^{2} b^{4} e^{\left(10 \, d x + 10 \, c\right)} - 435 \, a^{5} b e^{\left(8 \, d x + 8 \, c\right)} + 2124 \, a^{4} b^{2} e^{\left(8 \, d x + 8 \, c\right)} - 3972 \, a^{3} b^{3} e^{\left(8 \, d x + 8 \, c\right)} + 3072 \, a^{2} b^{4} e^{\left(8 \, d x + 8 \, c\right)} - 864 \, a b^{5} e^{\left(8 \, d x + 8 \, c\right)} + 870 \, a^{5} b e^{\left(6 \, d x + 6 \, c\right)} - 4292 \, a^{4} b^{2} e^{\left(6 \, d x + 6 \, c\right)} + 8792 \, a^{3} b^{3} e^{\left(6 \, d x + 6 \, c\right)} - 9936 \, a^{2} b^{4} e^{\left(6 \, d x + 6 \, c\right)} + 5824 \, a b^{5} e^{\left(6 \, d x + 6 \, c\right)} - 1408 \, b^{6} e^{\left(6 \, d x + 6 \, c\right)} - 870 \, a^{5} b e^{\left(4 \, d x + 4 \, c\right)} + 3792 \, a^{4} b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 6432 \, a^{3} b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 4608 \, a^{2} b^{4} e^{\left(4 \, d x + 4 \, c\right)} - 1248 \, a b^{5} e^{\left(4 \, d x + 4 \, c\right)} + 435 \, a^{5} b e^{\left(2 \, d x + 2 \, c\right)} - 1374 \, a^{4} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 1248 \, a^{3} b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 384 \, a^{2} b^{4} e^{\left(2 \, d x + 2 \, c\right)} - 87 \, a^{5} b + 116 \, a^{4} b^{2} - 44 \, a^{3} b^{3}\right)}}{{\left(a^{7} - 3 \, a^{6} b + 3 \, a^{5} b^{2} - a^{4} b^{3}\right)} {\left(a e^{\left(4 \, d x + 4 \, c\right)} - 2 \, a e^{\left(2 \, d x + 2 \, c\right)} + 4 \, b e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{3}} - \frac{48 \, {\left(d x + c\right)}}{a^{4}}}{48 \, d}"," ",0,"-1/48*(3*(35*a^3*b - 70*a^2*b^2 + 56*a*b^3 - 16*b^4)*arctan(1/2*(a*e^(2*d*x + 2*c) - a + 2*b)/sqrt(a*b - b^2))/((a^7 - 3*a^6*b + 3*a^5*b^2 - a^4*b^3)*sqrt(a*b - b^2)) - 2*(87*a^5*b*e^(10*d*x + 10*c) - 366*a^4*b^2*e^(10*d*x + 10*c) + 408*a^3*b^3*e^(10*d*x + 10*c) - 144*a^2*b^4*e^(10*d*x + 10*c) - 435*a^5*b*e^(8*d*x + 8*c) + 2124*a^4*b^2*e^(8*d*x + 8*c) - 3972*a^3*b^3*e^(8*d*x + 8*c) + 3072*a^2*b^4*e^(8*d*x + 8*c) - 864*a*b^5*e^(8*d*x + 8*c) + 870*a^5*b*e^(6*d*x + 6*c) - 4292*a^4*b^2*e^(6*d*x + 6*c) + 8792*a^3*b^3*e^(6*d*x + 6*c) - 9936*a^2*b^4*e^(6*d*x + 6*c) + 5824*a*b^5*e^(6*d*x + 6*c) - 1408*b^6*e^(6*d*x + 6*c) - 870*a^5*b*e^(4*d*x + 4*c) + 3792*a^4*b^2*e^(4*d*x + 4*c) - 6432*a^3*b^3*e^(4*d*x + 4*c) + 4608*a^2*b^4*e^(4*d*x + 4*c) - 1248*a*b^5*e^(4*d*x + 4*c) + 435*a^5*b*e^(2*d*x + 2*c) - 1374*a^4*b^2*e^(2*d*x + 2*c) + 1248*a^3*b^3*e^(2*d*x + 2*c) - 384*a^2*b^4*e^(2*d*x + 2*c) - 87*a^5*b + 116*a^4*b^2 - 44*a^3*b^3)/((a^7 - 3*a^6*b + 3*a^5*b^2 - a^4*b^3)*(a*e^(4*d*x + 4*c) - 2*a*e^(2*d*x + 2*c) + 4*b*e^(2*d*x + 2*c) + a)^3) - 48*(d*x + c)/a^4)/d","B",0
9,-2,0,0,0.000000," ","integrate((a+b*csch(d*x+c)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(exp(d*x+c)^2-1)]Error: Bad Argument Type","F(-2)",0
10,-2,0,0,0.000000," ","integrate((a+b*csch(d*x+c)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(exp(d*x+c)^2-1)]Error: Bad Argument Type","F(-2)",0
11,-2,0,0,0.000000," ","integrate((a+b*csch(d*x+c)^2)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(exp(d*x+c)^2-1)]Error: Bad Argument Type","F(-2)",0
12,-2,0,0,0.000000," ","integrate(1/(a+b*csch(d*x+c)^2)^(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(exp(d*x+c)^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[57]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-8]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-77]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-11]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[43]Evaluation time: 0.64index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
13,-2,0,0,0.000000," ","integrate(1/(a+b*csch(d*x+c)^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(exp(d*t_nostep+c)^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[57]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-8]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-77]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-11]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[43]Evaluation time: 1.14index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
14,-2,0,0,0.000000," ","integrate(1/(a+b*csch(d*x+c)^2)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(exp(d*t_nostep+c)^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[57]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-8]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-77]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-11]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[43]Evaluation time: 1.77index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
15,-2,0,0,0.000000," ","integrate(1/(a+b*csch(d*x+c)^2)^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(exp(d*t_nostep+c)^2-1)]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-3]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[57]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-8]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-77]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[-11]Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.Non regular value [0] was discarded and replaced randomly by 0=[43]Evaluation time: 2.07index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
16,1,73,0,0.137669," ","integrate((1+csch(x)^2)^(3/2),x, algorithm=""giac"")","-x \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) + \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right) \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) - \frac{3 \, e^{\left(4 \, x\right)} \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) - 2 \, e^{\left(2 \, x\right)} \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) + 3 \, \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right)}{2 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{2}}"," ",0,"-x*sgn(e^(4*x) - 1) + log(abs(e^(2*x) - 1))*sgn(e^(4*x) - 1) - 1/2*(3*e^(4*x)*sgn(e^(4*x) - 1) - 2*e^(2*x)*sgn(e^(4*x) - 1) + 3*sgn(e^(4*x) - 1))/(e^(2*x) - 1)^2","B",0
17,1,27,0,0.116417," ","integrate((1+csch(x)^2)^(1/2),x, algorithm=""giac"")","-x \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) + \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right) \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right)"," ",0,"-x*sgn(e^(4*x) - 1) + log(abs(e^(2*x) - 1))*sgn(e^(4*x) - 1)","B",0
18,1,30,0,0.116331," ","integrate(1/(1+csch(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{x}{\mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right)} + \frac{\log\left(e^{\left(2 \, x\right)} + 1\right)}{\mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right)}"," ",0,"-x/sgn(e^(4*x) - 1) + log(e^(2*x) + 1)/sgn(e^(4*x) - 1)","B",0
19,1,253,0,0.209680," ","integrate((1-csch(x)^2)^(3/2),x, algorithm=""giac"")","-4 \, \arctan\left(\frac{1}{2} \, \sqrt{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1} - \frac{1}{2} \, e^{\left(2 \, x\right)} + \frac{1}{2}\right) \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) - \frac{1}{2} \, \log\left(-\sqrt{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1} + e^{\left(2 \, x\right)} + 1\right) \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) - \frac{1}{2} \, \log\left({\left| \sqrt{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1} - e^{\left(2 \, x\right)} + 3 \right|}\right) \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) + \frac{1}{2} \, \log\left({\left| \sqrt{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1} - e^{\left(2 \, x\right)} + 1 \right|}\right) \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) + \frac{16 \, {\left({\left(\sqrt{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1} - e^{\left(2 \, x\right)}\right)}^{2} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) + 2 \, {\left(\sqrt{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1} - e^{\left(2 \, x\right)}\right)} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) + \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)\right)}}{{\left({\left(\sqrt{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1} - e^{\left(2 \, x\right)}\right)}^{2} + 2 \, \sqrt{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1} - 2 \, e^{\left(2 \, x\right)} + 5\right)}^{2}}"," ",0,"-4*arctan(1/2*sqrt(e^(4*x) - 6*e^(2*x) + 1) - 1/2*e^(2*x) + 1/2)*sgn(e^(2*x) - 1) - 1/2*log(-sqrt(e^(4*x) - 6*e^(2*x) + 1) + e^(2*x) + 1)*sgn(e^(2*x) - 1) - 1/2*log(abs(sqrt(e^(4*x) - 6*e^(2*x) + 1) - e^(2*x) + 3))*sgn(e^(2*x) - 1) + 1/2*log(abs(sqrt(e^(4*x) - 6*e^(2*x) + 1) - e^(2*x) + 1))*sgn(e^(2*x) - 1) + 16*((sqrt(e^(4*x) - 6*e^(2*x) + 1) - e^(2*x))^2*sgn(e^(2*x) - 1) + 2*(sqrt(e^(4*x) - 6*e^(2*x) + 1) - e^(2*x))*sgn(e^(2*x) - 1) + sgn(e^(2*x) - 1))/((sqrt(e^(4*x) - 6*e^(2*x) + 1) - e^(2*x))^2 + 2*sqrt(e^(4*x) - 6*e^(2*x) + 1) - 2*e^(2*x) + 5)^2","B",0
20,1,110,0,0.150203," ","integrate((1-csch(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(4 \, \arctan\left(\frac{1}{2} \, \sqrt{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1} - \frac{1}{2} \, e^{\left(2 \, x\right)} + \frac{1}{2}\right) + \log\left(-\sqrt{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1} + e^{\left(2 \, x\right)} + 1\right) + \log\left({\left| \sqrt{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1} - e^{\left(2 \, x\right)} + 3 \right|}\right) - \log\left({\left| \sqrt{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1} - e^{\left(2 \, x\right)} + 1 \right|}\right)\right)} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)"," ",0,"-1/2*(4*arctan(1/2*sqrt(e^(4*x) - 6*e^(2*x) + 1) - 1/2*e^(2*x) + 1/2) + log(-sqrt(e^(4*x) - 6*e^(2*x) + 1) + e^(2*x) + 1) + log(abs(sqrt(e^(4*x) - 6*e^(2*x) + 1) - e^(2*x) + 3)) - log(abs(sqrt(e^(4*x) - 6*e^(2*x) + 1) - e^(2*x) + 1)))*sgn(e^(2*x) - 1)","B",0
21,1,85,0,0.140264," ","integrate(1/(1-csch(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{\log\left(-\sqrt{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1} + e^{\left(2 \, x\right)} + 1\right) + \log\left({\left| \sqrt{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1} - e^{\left(2 \, x\right)} + 3 \right|}\right) - \log\left({\left| \sqrt{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1} - e^{\left(2 \, x\right)} + 1 \right|}\right)}{2 \, \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)}"," ",0,"-1/2*(log(-sqrt(e^(4*x) - 6*e^(2*x) + 1) + e^(2*x) + 1) + log(abs(sqrt(e^(4*x) - 6*e^(2*x) + 1) - e^(2*x) + 3)) - log(abs(sqrt(e^(4*x) - 6*e^(2*x) + 1) - e^(2*x) + 1)))/sgn(e^(2*x) - 1)","B",0
22,1,412,0,0.278906," ","integrate((-1+csch(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{1}{2} \, \arcsin\left(\frac{1}{4} \, \sqrt{2} {\left(e^{\left(2 \, x\right)} - 3\right)}\right) \mathrm{sgn}\left(-e^{\left(2 \, x\right)} + 1\right) - \arctan\left(-2 \, \sqrt{2} - \frac{3 \, {\left(2 \, \sqrt{2} - \sqrt{-e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} - 1}\right)}}{e^{\left(2 \, x\right)} - 3}\right) \mathrm{sgn}\left(-e^{\left(2 \, x\right)} + 1\right) + 2 \, \log\left({\left| -\sqrt{2} - \frac{2 \, \sqrt{2} - \sqrt{-e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} - 1}}{e^{\left(2 \, x\right)} - 3} + 1 \right|}\right) \mathrm{sgn}\left(-e^{\left(2 \, x\right)} + 1\right) - 2 \, \log\left({\left| -\sqrt{2} - \frac{2 \, \sqrt{2} - \sqrt{-e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} - 1}}{e^{\left(2 \, x\right)} - 3} - 1 \right|}\right) \mathrm{sgn}\left(-e^{\left(2 \, x\right)} + 1\right) + \frac{2 \, {\left(\sqrt{2} \mathrm{sgn}\left(-e^{\left(2 \, x\right)} + 1\right) + \frac{5 \, \sqrt{2} {\left(2 \, \sqrt{2} - \sqrt{-e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} - 1}\right)}^{2} \mathrm{sgn}\left(-e^{\left(2 \, x\right)} + 1\right)}{{\left(e^{\left(2 \, x\right)} - 3\right)}^{2}} + \frac{3 \, {\left(2 \, \sqrt{2} - \sqrt{-e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} - 1}\right)}^{3} \mathrm{sgn}\left(-e^{\left(2 \, x\right)} + 1\right)}{{\left(e^{\left(2 \, x\right)} - 3\right)}^{3}} + \frac{5 \, {\left(2 \, \sqrt{2} - \sqrt{-e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} - 1}\right)} \mathrm{sgn}\left(-e^{\left(2 \, x\right)} + 1\right)}{e^{\left(2 \, x\right)} - 3}\right)}}{{\left(\frac{2 \, \sqrt{2} {\left(2 \, \sqrt{2} - \sqrt{-e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} - 1}\right)}}{e^{\left(2 \, x\right)} - 3} + \frac{{\left(2 \, \sqrt{2} - \sqrt{-e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} - 1}\right)}^{2}}{{\left(e^{\left(2 \, x\right)} - 3\right)}^{2}} + 1\right)}^{2}}"," ",0,"-1/2*arcsin(1/4*sqrt(2)*(e^(2*x) - 3))*sgn(-e^(2*x) + 1) - arctan(-2*sqrt(2) - 3*(2*sqrt(2) - sqrt(-e^(4*x) + 6*e^(2*x) - 1))/(e^(2*x) - 3))*sgn(-e^(2*x) + 1) + 2*log(abs(-sqrt(2) - (2*sqrt(2) - sqrt(-e^(4*x) + 6*e^(2*x) - 1))/(e^(2*x) - 3) + 1))*sgn(-e^(2*x) + 1) - 2*log(abs(-sqrt(2) - (2*sqrt(2) - sqrt(-e^(4*x) + 6*e^(2*x) - 1))/(e^(2*x) - 3) - 1))*sgn(-e^(2*x) + 1) + 2*(sqrt(2)*sgn(-e^(2*x) + 1) + 5*sqrt(2)*(2*sqrt(2) - sqrt(-e^(4*x) + 6*e^(2*x) - 1))^2*sgn(-e^(2*x) + 1)/(e^(2*x) - 3)^2 + 3*(2*sqrt(2) - sqrt(-e^(4*x) + 6*e^(2*x) - 1))^3*sgn(-e^(2*x) + 1)/(e^(2*x) - 3)^3 + 5*(2*sqrt(2) - sqrt(-e^(4*x) + 6*e^(2*x) - 1))*sgn(-e^(2*x) + 1)/(e^(2*x) - 3))/(2*sqrt(2)*(2*sqrt(2) - sqrt(-e^(4*x) + 6*e^(2*x) - 1))/(e^(2*x) - 3) + (2*sqrt(2) - sqrt(-e^(4*x) + 6*e^(2*x) - 1))^2/(e^(2*x) - 3)^2 + 1)^2","B",0
23,1,157,0,0.188415," ","integrate((-1+csch(x)^2)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, {\left(\arcsin\left(\frac{1}{4} \, \sqrt{2} {\left(e^{\left(2 \, x\right)} - 3\right)}\right) + 2 \, \arctan\left(-2 \, \sqrt{2} - \frac{3 \, {\left(2 \, \sqrt{2} - \sqrt{-e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} - 1}\right)}}{e^{\left(2 \, x\right)} - 3}\right) - 2 \, \log\left({\left| -\sqrt{2} - \frac{2 \, \sqrt{2} - \sqrt{-e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} - 1}}{e^{\left(2 \, x\right)} - 3} + 1 \right|}\right) + 2 \, \log\left({\left| -\sqrt{2} - \frac{2 \, \sqrt{2} - \sqrt{-e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} - 1}}{e^{\left(2 \, x\right)} - 3} - 1 \right|}\right)\right)} \mathrm{sgn}\left(-e^{\left(2 \, x\right)} + 1\right)"," ",0,"1/2*(arcsin(1/4*sqrt(2)*(e^(2*x) - 3)) + 2*arctan(-2*sqrt(2) - 3*(2*sqrt(2) - sqrt(-e^(4*x) + 6*e^(2*x) - 1))/(e^(2*x) - 3)) - 2*log(abs(-sqrt(2) - (2*sqrt(2) - sqrt(-e^(4*x) + 6*e^(2*x) - 1))/(e^(2*x) - 3) + 1)) + 2*log(abs(-sqrt(2) - (2*sqrt(2) - sqrt(-e^(4*x) + 6*e^(2*x) - 1))/(e^(2*x) - 3) - 1)))*sgn(-e^(2*x) + 1)","B",0
24,1,69,0,0.154703," ","integrate(1/(-1+csch(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{\arcsin\left(\frac{1}{4} \, \sqrt{2} {\left(e^{\left(2 \, x\right)} - 3\right)}\right) + 2 \, \arctan\left(-2 \, \sqrt{2} - \frac{3 \, {\left(2 \, \sqrt{2} - \sqrt{-e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} - 1}\right)}}{e^{\left(2 \, x\right)} - 3}\right)}{2 \, \mathrm{sgn}\left(-e^{\left(2 \, x\right)} + 1\right)}"," ",0,"-1/2*(arcsin(1/4*sqrt(2)*(e^(2*x) - 3)) + 2*arctan(-2*sqrt(2) - 3*(2*sqrt(2) - sqrt(-e^(4*x) + 6*e^(2*x) - 1))/(e^(2*x) - 3)))/sgn(-e^(2*x) + 1)","B",0
25,1,84,0,0.127868," ","integrate((-1-csch(x)^2)^(3/2),x, algorithm=""giac"")","-i \, x \mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right) + i \, \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right) \mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right) - \frac{i \, {\left(3 \, e^{\left(4 \, x\right)} \mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right) - 2 \, e^{\left(2 \, x\right)} \mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right) + 3 \, \mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right)\right)}}{2 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{2}}"," ",0,"-I*x*sgn(-e^(4*x) + 1) + I*log(abs(e^(2*x) - 1))*sgn(-e^(4*x) + 1) - 1/2*I*(3*e^(4*x)*sgn(-e^(4*x) + 1) - 2*e^(2*x)*sgn(-e^(4*x) + 1) + 3*sgn(-e^(4*x) + 1))/(e^(2*x) - 1)^2","C",0
26,1,32,0,0.143603," ","integrate((-1-csch(x)^2)^(1/2),x, algorithm=""giac"")","i \, x \mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right) - i \, \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right) \mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right)"," ",0,"I*x*sgn(-e^(4*x) + 1) - I*log(abs(e^(2*x) - 1))*sgn(-e^(4*x) + 1)","C",0
27,1,37,0,0.142732," ","integrate(1/(-1-csch(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{i \, x}{\mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right)} + \frac{i \, \log\left(-i \, e^{\left(2 \, x\right)} - i\right)}{\mathrm{sgn}\left(-e^{\left(4 \, x\right)} + 1\right)}"," ",0,"-I*x/sgn(-e^(4*x) + 1) + I*log(-I*e^(2*x) - I)/sgn(-e^(4*x) + 1)","C",0
