1,1,74,0,0.127457," ","integrate(tanh(b*x+a)^6,x, algorithm=""giac"")","\frac{15 \, b x + 15 \, a + \frac{2 \, {\left(45 \, e^{\left(8 \, b x + 8 \, a\right)} + 90 \, e^{\left(6 \, b x + 6 \, a\right)} + 140 \, e^{\left(4 \, b x + 4 \, a\right)} + 70 \, e^{\left(2 \, b x + 2 \, a\right)} + 23\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{5}}}{15 \, b}"," ",0,"1/15*(15*b*x + 15*a + 2*(45*e^(8*b*x + 8*a) + 90*e^(6*b*x + 6*a) + 140*e^(4*b*x + 4*a) + 70*e^(2*b*x + 2*a) + 23)/(e^(2*b*x + 2*a) + 1)^5)/b","A",0
2,1,67,0,0.153280," ","integrate(tanh(b*x+a)^5,x, algorithm=""giac"")","-\frac{b x + a - \frac{4 \, {\left(e^{\left(6 \, b x + 6 \, a\right)} + e^{\left(4 \, b x + 4 \, a\right)} + e^{\left(2 \, b x + 2 \, a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{4}} - \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{b}"," ",0,"-(b*x + a - 4*(e^(6*b*x + 6*a) + e^(4*b*x + 4*a) + e^(2*b*x + 2*a))/(e^(2*b*x + 2*a) + 1)^4 - log(e^(2*b*x + 2*a) + 1))/b","A",0
3,1,52,0,0.138865," ","integrate(tanh(b*x+a)^4,x, algorithm=""giac"")","\frac{3 \, b x + 3 \, a + \frac{4 \, {\left(3 \, e^{\left(4 \, b x + 4 \, a\right)} + 3 \, e^{\left(2 \, b x + 2 \, a\right)} + 2\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{3}}}{3 \, b}"," ",0,"1/3*(3*b*x + 3*a + 4*(3*e^(4*b*x + 4*a) + 3*e^(2*b*x + 2*a) + 2)/(e^(2*b*x + 2*a) + 1)^3)/b","A",0
4,1,48,0,0.123984," ","integrate(tanh(b*x+a)^3,x, algorithm=""giac"")","-\frac{b x + a - \frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{2}} - \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{b}"," ",0,"-(b*x + a - 2*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) + 1)^2 - log(e^(2*b*x + 2*a) + 1))/b","A",0
5,1,24,0,0.122648," ","integrate(tanh(b*x+a)^2,x, algorithm=""giac"")","\frac{b x + a + \frac{2}{e^{\left(2 \, b x + 2 \, a\right)} + 1}}{b}"," ",0,"(b*x + a + 2/(e^(2*b*x + 2*a) + 1))/b","A",0
6,1,24,0,0.116303," ","integrate(tanh(b*x+a),x, algorithm=""giac"")","-\frac{b x + a - \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{b}"," ",0,"-(b*x + a - log(e^(2*b*x + 2*a) + 1))/b","B",0
7,1,25,0,0.124168," ","integrate(coth(b*x+a),x, algorithm=""giac"")","-\frac{b x + a - \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{b}"," ",0,"-(b*x + a - log(abs(e^(2*b*x + 2*a) - 1)))/b","B",0
8,1,24,0,0.136393," ","integrate(coth(b*x+a)^2,x, algorithm=""giac"")","\frac{b x + a - \frac{2}{e^{\left(2 \, b x + 2 \, a\right)} - 1}}{b}"," ",0,"(b*x + a - 2/(e^(2*b*x + 2*a) - 1))/b","A",0
9,1,49,0,0.129478," ","integrate(coth(b*x+a)^3,x, algorithm=""giac"")","-\frac{b x + a + \frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}} - \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{b}"," ",0,"-(b*x + a + 2*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) - 1)^2 - log(abs(e^(2*b*x + 2*a) - 1)))/b","A",0
10,1,52,0,0.158344," ","integrate(coth(b*x+a)^4,x, algorithm=""giac"")","\frac{3 \, b x + 3 \, a - \frac{4 \, {\left(3 \, e^{\left(4 \, b x + 4 \, a\right)} - 3 \, e^{\left(2 \, b x + 2 \, a\right)} + 2\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{3}}}{3 \, b}"," ",0,"1/3*(3*b*x + 3*a - 4*(3*e^(4*b*x + 4*a) - 3*e^(2*b*x + 2*a) + 2)/(e^(2*b*x + 2*a) - 1)^3)/b","A",0
11,1,70,0,0.160580," ","integrate(coth(b*x+a)^5,x, algorithm=""giac"")","-\frac{b x + a + \frac{4 \, {\left(e^{\left(6 \, b x + 6 \, a\right)} - e^{\left(4 \, b x + 4 \, a\right)} + e^{\left(2 \, b x + 2 \, a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{4}} - \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{b}"," ",0,"-(b*x + a + 4*(e^(6*b*x + 6*a) - e^(4*b*x + 4*a) + e^(2*b*x + 2*a))/(e^(2*b*x + 2*a) - 1)^4 - log(abs(e^(2*b*x + 2*a) - 1)))/b","A",0
12,1,74,0,0.134582," ","integrate(coth(b*x+a)^6,x, algorithm=""giac"")","\frac{15 \, b x + 15 \, a - \frac{2 \, {\left(45 \, e^{\left(8 \, b x + 8 \, a\right)} - 90 \, e^{\left(6 \, b x + 6 \, a\right)} + 140 \, e^{\left(4 \, b x + 4 \, a\right)} - 70 \, e^{\left(2 \, b x + 2 \, a\right)} + 23\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{5}}}{15 \, b}"," ",0,"1/15*(15*b*x + 15*a - 2*(45*e^(8*b*x + 8*a) - 90*e^(6*b*x + 6*a) + 140*e^(4*b*x + 4*a) - 70*e^(2*b*x + 2*a) + 23)/(e^(2*b*x + 2*a) - 1)^5)/b","A",0
13,1,293,0,0.389890," ","integrate((b*tanh(d*x+c))^(7/2),x, algorithm=""giac"")","\frac{10 \, b^{\frac{7}{2}} \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}}{\sqrt{b}}\right) - 5 \, b^{\frac{7}{2}} \log\left({\left| -\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} + \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b} \right|}\right) - \frac{16 \, {\left(5 \, {\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}\right)}^{4} b^{4} + 10 \, {\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}\right)}^{3} b^{\frac{9}{2}} + 20 \, {\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}\right)}^{2} b^{5} + 10 \, {\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}\right)} b^{\frac{11}{2}} + 3 \, b^{6}\right)}}{{\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b} + \sqrt{b}\right)}^{5}}}{10 \, d}"," ",0,"1/10*(10*b^(7/2)*arctan(-(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))/sqrt(b)) - 5*b^(7/2)*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b))) - 16*(5*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^4*b^4 + 10*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^3*b^(9/2) + 20*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^2*b^5 + 10*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))*b^(11/2) + 3*b^6)/(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b) + sqrt(b))^5)/d","B",0
14,1,173,0,0.337802," ","integrate((b*tanh(d*x+c))^(5/2),x, algorithm=""giac"")","-\frac{6 \, b^{\frac{5}{2}} \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}}{\sqrt{b}}\right) + 3 \, b^{\frac{5}{2}} \log\left({\left| -\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} + \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b} \right|}\right) + \frac{8 \, {\left(3 \, {\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}\right)}^{2} b^{3} + b^{4}\right)}}{{\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b} + \sqrt{b}\right)}^{3}}}{6 \, d}"," ",0,"-1/6*(6*b^(5/2)*arctan(-(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))/sqrt(b)) + 3*b^(5/2)*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b))) + 8*(3*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^2*b^3 + b^4)/(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b) + sqrt(b))^3)/d","B",0
15,1,131,0,0.219173," ","integrate((b*tanh(d*x+c))^(3/2),x, algorithm=""giac"")","\frac{{\left(2 \, \sqrt{b} \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}}{\sqrt{b}}\right) - \sqrt{b} \log\left({\left| -\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} + \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b} \right|}\right) - \frac{8 \, b}{\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b} + \sqrt{b}}\right)} b}{2 \, d}"," ",0,"1/2*(2*sqrt(b)*arctan(-(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))/sqrt(b)) - sqrt(b)*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b))) - 8*b/(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b) + sqrt(b)))*b/d","B",0
16,1,88,0,0.188020," ","integrate((b*tanh(d*x+c))^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{b} \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}}{\sqrt{b}}\right) + \sqrt{b} \log\left({\left| -\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} + \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b} \right|}\right)}{2 \, d}"," ",0,"-1/2*(2*sqrt(b)*arctan(-(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))/sqrt(b)) + sqrt(b)*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b))))/d","A",0
17,1,89,0,0.284001," ","integrate(1/(b*tanh(d*x+c))^(1/2),x, algorithm=""giac"")","\frac{\frac{2 \, \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}}{\sqrt{b}}\right)}{\sqrt{b}} - \frac{\log\left({\left| -\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} + \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b} \right|}\right)}{\sqrt{b}}}{2 \, d}"," ",0,"1/2*(2*arctan(-(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))/sqrt(b))/sqrt(b) - log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b)))/sqrt(b))/d","A",0
18,1,144,0,0.600390," ","integrate(1/(b*tanh(d*x+c))^(3/2),x, algorithm=""giac"")","\frac{\frac{\pi + \log\left({\left| b \right|}\right) + 8}{\sqrt{b}} - \frac{4 \, \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}}{\sqrt{b}}\right)}{\sqrt{b}} - \frac{2 \, \log\left({\left| -\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} + \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b} \right|}\right)}{\sqrt{b}} + \frac{16}{\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b} - \sqrt{b}}}{4 \, b d}"," ",0,"1/4*((pi + log(abs(b)) + 8)/sqrt(b) - 4*arctan(-(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))/sqrt(b))/sqrt(b) - 2*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b)))/sqrt(b) + 16/(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b) - sqrt(b)))/(b*d)","B",0
19,1,187,0,0.621634," ","integrate(1/(b*tanh(d*x+c))^(5/2),x, algorithm=""giac"")","-\frac{\frac{3 \, \pi - 3 \, \log\left({\left| b \right|}\right) - 8}{b^{\frac{5}{2}}} - \frac{12 \, \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}}{\sqrt{b}}\right)}{b^{\frac{5}{2}}} + \frac{6 \, \log\left({\left| -\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} + \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b} \right|}\right)}{b^{\frac{5}{2}}} - \frac{16 \, {\left(3 \, {\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}\right)}^{2} + b\right)}}{{\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b} - \sqrt{b}\right)}^{3} b^{2}}}{12 \, d}"," ",0,"-1/12*((3*pi - 3*log(abs(b)) - 8)/b^(5/2) - 12*arctan(-(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))/sqrt(b))/b^(5/2) + 6*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b)))/b^(5/2) - 16*(3*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^2 + b)/((sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b) - sqrt(b))^3*b^2))/d","B",0
20,1,307,0,0.715402," ","integrate(1/(b*tanh(d*x+c))^(7/2),x, algorithm=""giac"")","\frac{\frac{5 \, \pi + 5 \, \log\left({\left| b \right|}\right) + 48}{b^{\frac{7}{2}}} - \frac{20 \, \arctan\left(-\frac{\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}}{\sqrt{b}}\right)}{b^{\frac{7}{2}}} - \frac{10 \, \log\left({\left| -\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} + \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b} \right|}\right)}{b^{\frac{7}{2}}} + \frac{32 \, {\left(5 \, {\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}\right)}^{4} - 10 \, {\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}\right)}^{3} \sqrt{b} + 20 \, {\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}\right)}^{2} b - 10 \, {\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}\right)} b^{\frac{3}{2}} + 3 \, b^{2}\right)}}{{\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b} - \sqrt{b}\right)}^{5} b^{3}}}{20 \, d}"," ",0,"1/20*((5*pi + 5*log(abs(b)) + 48)/b^(7/2) - 20*arctan(-(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))/sqrt(b))/b^(7/2) - 10*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b)))/b^(7/2) + 32*(5*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^4 - 10*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^3*sqrt(b) + 20*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^2*b - 10*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))*b^(3/2) + 3*b^2)/((sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b) - sqrt(b))^5*b^3))/d","B",0
21,1,110,0,0.146699," ","integrate(tanh(8*x)^(1/3),x, algorithm=""giac"")","-\frac{1}{16} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, \left(\frac{e^{\left(16 \, x\right)} - 1}{e^{\left(16 \, x\right)} + 1}\right)^{\frac{2}{3}} + 1\right)}\right) + \frac{1}{32} \, \log\left(\left(\frac{e^{\left(16 \, x\right)} - 1}{e^{\left(16 \, x\right)} + 1}\right)^{\frac{2}{3}} + \frac{\left(\frac{e^{\left(16 \, x\right)} - 1}{e^{\left(16 \, x\right)} + 1}\right)^{\frac{1}{3}} {\left(e^{\left(16 \, x\right)} - 1\right)}}{e^{\left(16 \, x\right)} + 1} + 1\right) - \frac{1}{16} \, \log\left({\left| \left(\frac{e^{\left(16 \, x\right)} - 1}{e^{\left(16 \, x\right)} + 1}\right)^{\frac{2}{3}} - 1 \right|}\right)"," ",0,"-1/16*sqrt(3)*arctan(1/3*sqrt(3)*(2*((e^(16*x) - 1)/(e^(16*x) + 1))^(2/3) + 1)) + 1/32*log(((e^(16*x) - 1)/(e^(16*x) + 1))^(2/3) + ((e^(16*x) - 1)/(e^(16*x) + 1))^(1/3)*(e^(16*x) - 1)/(e^(16*x) + 1) + 1) - 1/16*log(abs(((e^(16*x) - 1)/(e^(16*x) + 1))^(2/3) - 1))","B",0
22,-1,0,0,0.000000," ","integrate(tanh(b*x+a)^n,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
23,-1,0,0,0.000000," ","integrate((b*tanh(d*x+c))^n,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,1,52,0,5.006708," ","integrate((a*tanh(x)^2)^(3/2),x, algorithm=""giac"")","-{\left(x \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) - \log\left(e^{\left(2 \, x\right)} + 1\right) \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) - \frac{2 \, e^{\left(2 \, x\right)} \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right)}{{\left(e^{\left(2 \, x\right)} + 1\right)}^{2}}\right)} a^{\frac{3}{2}}"," ",0,"-(x*sgn(e^(4*x) - 1) - log(e^(2*x) + 1)*sgn(e^(4*x) - 1) - 2*e^(2*x)*sgn(e^(4*x) - 1)/(e^(2*x) + 1)^2)*a^(3/2)","A",0
25,1,31,0,2.903228," ","integrate((a*tanh(x)^2)^(1/2),x, algorithm=""giac"")","-{\left(x \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) - \log\left(e^{\left(2 \, x\right)} + 1\right) \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right)\right)} \sqrt{a}"," ",0,"-(x*sgn(e^(4*x) - 1) - log(e^(2*x) + 1)*sgn(e^(4*x) - 1))*sqrt(a)","B",0
26,1,1,0,0.144023," ","integrate(1/(a*tanh(x)^2)^(1/2),x, algorithm=""giac"")","0"," ",0,"0","A",0
27,1,142,0,1.890739," ","integrate((-tanh(d*x+c)^2)^(5/2),x, algorithm=""giac"")","\frac{i \, {\left(d x + c\right)} \mathrm{sgn}\left(-e^{\left(4 \, d x + 4 \, c\right)} + 1\right) - i \, \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) \mathrm{sgn}\left(-e^{\left(4 \, d x + 4 \, c\right)} + 1\right) - \frac{4 i \, {\left(e^{\left(6 \, d x + 6 \, c\right)} \mathrm{sgn}\left(-e^{\left(4 \, d x + 4 \, c\right)} + 1\right) + e^{\left(4 \, d x + 4 \, c\right)} \mathrm{sgn}\left(-e^{\left(4 \, d x + 4 \, c\right)} + 1\right) + e^{\left(2 \, d x + 2 \, c\right)} \mathrm{sgn}\left(-e^{\left(4 \, d x + 4 \, c\right)} + 1\right)\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{4}}}{d}"," ",0,"(I*(d*x + c)*sgn(-e^(4*d*x + 4*c) + 1) - I*log(e^(2*d*x + 2*c) + 1)*sgn(-e^(4*d*x + 4*c) + 1) - 4*I*(e^(6*d*x + 6*c)*sgn(-e^(4*d*x + 4*c) + 1) + e^(4*d*x + 4*c)*sgn(-e^(4*d*x + 4*c) + 1) + e^(2*d*x + 2*c)*sgn(-e^(4*d*x + 4*c) + 1))/(e^(2*d*x + 2*c) + 1)^4)/d","C",0
28,1,92,0,0.166308," ","integrate((-tanh(d*x+c)^2)^(3/2),x, algorithm=""giac"")","\frac{-i \, {\left(d x + c\right)} \mathrm{sgn}\left(-e^{\left(4 \, d x + 4 \, c\right)} + 1\right) + i \, \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) \mathrm{sgn}\left(-e^{\left(4 \, d x + 4 \, c\right)} + 1\right) + \frac{2 i \, e^{\left(2 \, d x + 2 \, c\right)} \mathrm{sgn}\left(-e^{\left(4 \, d x + 4 \, c\right)} + 1\right)}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{2}}}{d}"," ",0,"(-I*(d*x + c)*sgn(-e^(4*d*x + 4*c) + 1) + I*log(e^(2*d*x + 2*c) + 1)*sgn(-e^(4*d*x + 4*c) + 1) + 2*I*e^(2*d*x + 2*c)*sgn(-e^(4*d*x + 4*c) + 1)/(e^(2*d*x + 2*c) + 1)^2)/d","C",0
29,1,54,0,0.152776," ","integrate((-tanh(d*x+c)^2)^(1/2),x, algorithm=""giac"")","\frac{i \, {\left(d x + c\right)} \mathrm{sgn}\left(-e^{\left(4 \, d x + 4 \, c\right)} + 1\right) - i \, \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) \mathrm{sgn}\left(-e^{\left(4 \, d x + 4 \, c\right)} + 1\right)}{d}"," ",0,"(I*(d*x + c)*sgn(-e^(4*d*x + 4*c) + 1) - I*log(e^(2*d*x + 2*c) + 1)*sgn(-e^(4*d*x + 4*c) + 1))/d","C",0
30,1,63,0,0.141627," ","integrate(1/(-tanh(d*x+c)^2)^(1/2),x, algorithm=""giac"")","\frac{\frac{-2 i \, d x - 2 i \, c}{\mathrm{sgn}\left(-e^{\left(4 \, d x + 4 \, c\right)} + 1\right)} + \frac{2 i \, \log\left(-i \, e^{\left(2 \, d x + 2 \, c\right)} + i\right)}{\mathrm{sgn}\left(-e^{\left(4 \, d x + 4 \, c\right)} + 1\right)}}{2 \, d}"," ",0,"1/2*((-2*I*d*x - 2*I*c)/sgn(-e^(4*d*x + 4*c) + 1) + 2*I*log(-I*e^(2*d*x + 2*c) + I)/sgn(-e^(4*d*x + 4*c) + 1))/d","C",0
31,1,60,0,0.798620," ","integrate(1/(-tanh(d*x+c)^2)^(3/2),x, algorithm=""giac"")","-\frac{\frac{4 i \, e^{\left(2 \, d x + 2 \, c\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{2}} + i \, \log\left(-i \, e^{\left(2 \, d x + 2 \, c\right)}\right) - 2 i \, \log\left(i \, e^{\left(2 \, d x + 2 \, c\right)} - i\right)}{2 \, d}"," ",0,"-1/2*(4*I*e^(2*d*x + 2*c)/(e^(2*d*x + 2*c) - 1)^2 + I*log(-I*e^(2*d*x + 2*c)) - 2*I*log(I*e^(2*d*x + 2*c) - I))/d","C",0
32,1,83,0,1.168897," ","integrate(1/(-tanh(d*x+c)^2)^(5/2),x, algorithm=""giac"")","\frac{\frac{8 i \, e^{\left(6 \, d x + 6 \, c\right)} - 8 i \, e^{\left(4 \, d x + 4 \, c\right)} + 8 i \, e^{\left(2 \, d x + 2 \, c\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{4}} + i \, \log\left(-i \, e^{\left(2 \, d x + 2 \, c\right)}\right) - 2 i \, \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right)}{2 \, d}"," ",0,"1/2*((8*I*e^(6*d*x + 6*c) - 8*I*e^(4*d*x + 4*c) + 8*I*e^(2*d*x + 2*c))/(e^(2*d*x + 2*c) - 1)^4 + I*log(-I*e^(2*d*x + 2*c)) - 2*I*log(abs(e^(2*d*x + 2*c) - 1)))/d","C",0
33,1,55,0,0.146889," ","integrate((tanh(x)^3)^(1/2),x, algorithm=""giac"")","\frac{4}{\sqrt{e^{\left(4 \, x\right)} - 1} - e^{\left(2 \, x\right)} - 1} + \arctan\left(\sqrt{e^{\left(4 \, x\right)} - 1} - e^{\left(2 \, x\right)}\right) - \frac{1}{2} \, \log\left(-\sqrt{e^{\left(4 \, x\right)} - 1} + e^{\left(2 \, x\right)}\right)"," ",0,"4/(sqrt(e^(4*x) - 1) - e^(2*x) - 1) + arctan(sqrt(e^(4*x) - 1) - e^(2*x)) - 1/2*log(-sqrt(e^(4*x) - 1) + e^(2*x))","A",0
34,1,342,0,0.265026," ","integrate((a*tanh(x)^3)^(3/2),x, algorithm=""giac"")","-\frac{1}{42} \, {\left(42 \, \sqrt{a} \arctan\left(-\frac{\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} - a}}{\sqrt{a}}\right) \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) + 21 \, \sqrt{a} \log\left({\left| -\sqrt{a} e^{\left(2 \, x\right)} + \sqrt{a e^{\left(4 \, x\right)} - a} \right|}\right) \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) + \frac{16 \, {\left(21 \, {\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} - a}\right)}^{6} a \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) + 42 \, {\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} - a}\right)}^{5} a^{\frac{3}{2}} \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) + 119 \, {\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} - a}\right)}^{4} a^{2} \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) + 56 \, {\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} - a}\right)}^{3} a^{\frac{5}{2}} \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) + 63 \, {\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} - a}\right)}^{2} a^{3} \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) + 14 \, {\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} - a}\right)} a^{\frac{7}{2}} \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) + 5 \, a^{4} \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right)\right)}}{{\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} - a} + \sqrt{a}\right)}^{7}}\right)} a"," ",0,"-1/42*(42*sqrt(a)*arctan(-(sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) - a))/sqrt(a))*sgn(e^(4*x) - 1) + 21*sqrt(a)*log(abs(-sqrt(a)*e^(2*x) + sqrt(a*e^(4*x) - a)))*sgn(e^(4*x) - 1) + 16*(21*(sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) - a))^6*a*sgn(e^(4*x) - 1) + 42*(sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) - a))^5*a^(3/2)*sgn(e^(4*x) - 1) + 119*(sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) - a))^4*a^2*sgn(e^(4*x) - 1) + 56*(sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) - a))^3*a^(5/2)*sgn(e^(4*x) - 1) + 63*(sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) - a))^2*a^3*sgn(e^(4*x) - 1) + 14*(sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) - a))*a^(7/2)*sgn(e^(4*x) - 1) + 5*a^4*sgn(e^(4*x) - 1))/(sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) - a) + sqrt(a))^7)*a","B",0
35,1,115,0,0.192816," ","integrate((a*tanh(x)^3)^(1/2),x, algorithm=""giac"")","\sqrt{a} \arctan\left(-\frac{\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} - a}}{\sqrt{a}}\right) \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) - \frac{1}{2} \, \sqrt{a} \log\left({\left| -\sqrt{a} e^{\left(2 \, x\right)} + \sqrt{a e^{\left(4 \, x\right)} - a} \right|}\right) \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right) - \frac{4 \, a \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right)}{\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} - a} + \sqrt{a}}"," ",0,"sqrt(a)*arctan(-(sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) - a))/sqrt(a))*sgn(e^(4*x) - 1) - 1/2*sqrt(a)*log(abs(-sqrt(a)*e^(2*x) + sqrt(a*e^(4*x) - a)))*sgn(e^(4*x) - 1) - 4*a*sgn(e^(4*x) - 1)/(sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) - a) + sqrt(a))","B",0
36,1,123,0,0.194328," ","integrate(1/(a*tanh(x)^3)^(1/2),x, algorithm=""giac"")","-\frac{\arctan\left(-\frac{\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} - a}}{\sqrt{a}}\right)}{\sqrt{a} \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right)} - \frac{\log\left({\left| -\sqrt{a} e^{\left(2 \, x\right)} + \sqrt{a e^{\left(4 \, x\right)} - a} \right|}\right)}{2 \, \sqrt{a} \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right)} + \frac{4}{{\left(\sqrt{a} e^{\left(2 \, x\right)} - \sqrt{a e^{\left(4 \, x\right)} - a} - \sqrt{a}\right)} \mathrm{sgn}\left(e^{\left(4 \, x\right)} - 1\right)}"," ",0,"-arctan(-(sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) - a))/sqrt(a))/(sqrt(a)*sgn(e^(4*x) - 1)) - 1/2*log(abs(-sqrt(a)*e^(2*x) + sqrt(a*e^(4*x) - a)))/(sqrt(a)*sgn(e^(4*x) - 1)) + 4/((sqrt(a)*e^(2*x) - sqrt(a*e^(4*x) - a) - sqrt(a))*sgn(e^(4*x) - 1))","B",0
37,1,45,0,0.136410," ","integrate((a*tanh(x)^4)^(3/2),x, algorithm=""giac"")","\frac{1}{15} \, a^{\frac{3}{2}} {\left(15 \, x + \frac{2 \, {\left(45 \, e^{\left(8 \, x\right)} + 90 \, e^{\left(6 \, x\right)} + 140 \, e^{\left(4 \, x\right)} + 70 \, e^{\left(2 \, x\right)} + 23\right)}}{{\left(e^{\left(2 \, x\right)} + 1\right)}^{5}}\right)}"," ",0,"1/15*a^(3/2)*(15*x + 2*(45*e^(8*x) + 90*e^(6*x) + 140*e^(4*x) + 70*e^(2*x) + 23)/(e^(2*x) + 1)^5)","A",0
38,1,16,0,0.127347," ","integrate((a*tanh(x)^4)^(1/2),x, algorithm=""giac"")","\sqrt{a} {\left(x + \frac{2}{e^{\left(2 \, x\right)} + 1}\right)}"," ",0,"sqrt(a)*(x + 2/(e^(2*x) + 1))","A",0
39,1,19,0,0.132560," ","integrate(1/(a*tanh(x)^4)^(1/2),x, algorithm=""giac"")","\frac{x}{\sqrt{a}} - \frac{2}{\sqrt{a} {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"x/sqrt(a) - 2/(sqrt(a)*(e^(2*x) - 1))","A",0
40,0,0,0,0.000000," ","integrate((b*tanh(d*x+c)^m)^n,x, algorithm=""giac"")","\int \left(b \tanh\left(d x + c\right)^{m}\right)^{n}\,{d x}"," ",0,"integrate((b*tanh(d*x + c)^m)^n, x)","F",0
41,1,85,0,0.137121," ","integrate((a+a*tanh(d*x+c))^5,x, algorithm=""giac"")","\frac{4 \, {\left(12 \, a^{5} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) + \frac{48 \, a^{5} e^{\left(6 \, d x + 6 \, c\right)} + 108 \, a^{5} e^{\left(4 \, d x + 4 \, c\right)} + 88 \, a^{5} e^{\left(2 \, d x + 2 \, c\right)} + 25 \, a^{5}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{4}}\right)}}{3 \, d}"," ",0,"4/3*(12*a^5*log(e^(2*d*x + 2*c) + 1) + (48*a^5*e^(6*d*x + 6*c) + 108*a^5*e^(4*d*x + 4*c) + 88*a^5*e^(2*d*x + 2*c) + 25*a^5)/(e^(2*d*x + 2*c) + 1)^4)/d","A",0
42,1,71,0,0.129279," ","integrate((a+a*tanh(d*x+c))^4,x, algorithm=""giac"")","\frac{4 \, {\left(6 \, a^{4} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) + \frac{18 \, a^{4} e^{\left(4 \, d x + 4 \, c\right)} + 27 \, a^{4} e^{\left(2 \, d x + 2 \, c\right)} + 11 \, a^{4}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}\right)}}{3 \, d}"," ",0,"4/3*(6*a^4*log(e^(2*d*x + 2*c) + 1) + (18*a^4*e^(4*d*x + 4*c) + 27*a^4*e^(2*d*x + 2*c) + 11*a^4)/(e^(2*d*x + 2*c) + 1)^3)/d","A",0
43,1,57,0,0.128223," ","integrate((a+a*tanh(d*x+c))^3,x, algorithm=""giac"")","\frac{2 \, {\left(2 \, a^{3} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) + \frac{4 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a^{3}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{2}}\right)}}{d}"," ",0,"2*(2*a^3*log(e^(2*d*x + 2*c) + 1) + (4*a^3*e^(2*d*x + 2*c) + 3*a^3)/(e^(2*d*x + 2*c) + 1)^2)/d","A",0
44,1,39,0,0.122732," ","integrate((a+a*tanh(d*x+c))^2,x, algorithm=""giac"")","\frac{2 \, {\left(a^{2} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) + \frac{a^{2}}{e^{\left(2 \, d x + 2 \, c\right)} + 1}\right)}}{d}"," ",0,"2*(a^2*log(e^(2*d*x + 2*c) + 1) + a^2/(e^(2*d*x + 2*c) + 1))/d","A",0
45,1,30,0,0.125050," ","integrate(1/(a+a*tanh(d*x+c)),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(d x + c\right)}}{a} - \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{a}}{4 \, d}"," ",0,"1/4*(2*(d*x + c)/a - e^(-2*d*x - 2*c)/a)/d","A",0
46,1,42,0,0.141954," ","integrate(1/(a+a*tanh(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{{\left(4 \, e^{\left(2 \, d x + 2 \, c\right)} + 1\right)} e^{\left(-4 \, d x - 4 \, c\right)}}{a^{2}} - \frac{4 \, {\left(d x + c\right)}}{a^{2}}}{16 \, d}"," ",0,"-1/16*((4*e^(2*d*x + 2*c) + 1)*e^(-4*d*x - 4*c)/a^2 - 4*(d*x + c)/a^2)/d","A",0
47,1,53,0,0.141989," ","integrate(1/(a+a*tanh(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{{\left(18 \, e^{\left(4 \, d x + 4 \, c\right)} + 9 \, e^{\left(2 \, d x + 2 \, c\right)} + 2\right)} e^{\left(-6 \, d x - 6 \, c\right)}}{a^{3}} - \frac{12 \, {\left(d x + c\right)}}{a^{3}}}{96 \, d}"," ",0,"-1/96*((18*e^(4*d*x + 4*c) + 9*e^(2*d*x + 2*c) + 2)*e^(-6*d*x - 6*c)/a^3 - 12*(d*x + c)/a^3)/d","A",0
48,1,64,0,0.120198," ","integrate(1/(a+a*tanh(d*x+c))^4,x, algorithm=""giac"")","-\frac{\frac{{\left(48 \, e^{\left(6 \, d x + 6 \, c\right)} + 36 \, e^{\left(4 \, d x + 4 \, c\right)} + 16 \, e^{\left(2 \, d x + 2 \, c\right)} + 3\right)} e^{\left(-8 \, d x - 8 \, c\right)}}{a^{4}} - \frac{24 \, {\left(d x + c\right)}}{a^{4}}}{384 \, d}"," ",0,"-1/384*((48*e^(6*d*x + 6*c) + 36*e^(4*d*x + 4*c) + 16*e^(2*d*x + 2*c) + 3)*e^(-8*d*x - 8*c)/a^4 - 24*(d*x + c)/a^4)/d","A",0
49,1,75,0,0.120646," ","integrate(1/(a+a*tanh(d*x+c))^5,x, algorithm=""giac"")","-\frac{\frac{{\left(300 \, e^{\left(8 \, d x + 8 \, c\right)} + 300 \, e^{\left(6 \, d x + 6 \, c\right)} + 200 \, e^{\left(4 \, d x + 4 \, c\right)} + 75 \, e^{\left(2 \, d x + 2 \, c\right)} + 12\right)} e^{\left(-10 \, d x - 10 \, c\right)}}{a^{5}} - \frac{120 \, {\left(d x + c\right)}}{a^{5}}}{3840 \, d}"," ",0,"-1/3840*((300*e^(8*d*x + 8*c) + 300*e^(6*d*x + 6*c) + 200*e^(4*d*x + 4*c) + 75*e^(2*d*x + 2*c) + 12)*e^(-10*d*x - 10*c)/a^5 - 120*(d*x + c)/a^5)/d","A",0
50,1,140,0,0.145908," ","integrate((1+tanh(x))^(7/2),x, algorithm=""giac"")","\frac{4}{15} \, \sqrt{2} {\left(\frac{2 \, {\left(45 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{4} - 135 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{3} + 170 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{2} - 100 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 100 \, e^{\left(2 \, x\right)} + 23\right)}}{{\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)} - 1\right)}^{5}} - 15 \, \log\left(-2 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 2 \, e^{\left(2 \, x\right)} + 1\right)\right)}"," ",0,"4/15*sqrt(2)*(2*(45*(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^4 - 135*(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^3 + 170*(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^2 - 100*sqrt(e^(4*x) + e^(2*x)) + 100*e^(2*x) + 23)/(sqrt(e^(4*x) + e^(2*x)) - e^(2*x) - 1)^5 - 15*log(-2*sqrt(e^(4*x) + e^(2*x)) + 2*e^(2*x) + 1))","B",0
51,1,96,0,0.146361," ","integrate((1+tanh(x))^(5/2),x, algorithm=""giac"")","\frac{2}{3} \, \sqrt{2} {\left(\frac{2 \, {\left(6 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{2} - 9 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 9 \, e^{\left(2 \, x\right)} + 4\right)}}{{\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)} - 1\right)}^{3}} - 3 \, \log\left(-2 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 2 \, e^{\left(2 \, x\right)} + 1\right)\right)}"," ",0,"2/3*sqrt(2)*(2*(6*(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^2 - 9*sqrt(e^(4*x) + e^(2*x)) + 9*e^(2*x) + 4)/(sqrt(e^(4*x) + e^(2*x)) - e^(2*x) - 1)^3 - 3*log(-2*sqrt(e^(4*x) + e^(2*x)) + 2*e^(2*x) + 1))","B",0
52,1,52,0,0.139356," ","integrate((1+tanh(x))^(3/2),x, algorithm=""giac"")","\sqrt{2} {\left(\frac{2}{\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)} - 1} - \log\left(-2 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 2 \, e^{\left(2 \, x\right)} + 1\right)\right)}"," ",0,"sqrt(2)*(2/(sqrt(e^(4*x) + e^(2*x)) - e^(2*x) - 1) - log(-2*sqrt(e^(4*x) + e^(2*x)) + 2*e^(2*x) + 1))","A",0
53,1,27,0,0.156246," ","integrate((1+tanh(x))^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{2} \log\left(-2 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 2 \, e^{\left(2 \, x\right)} + 1\right)"," ",0,"-1/2*sqrt(2)*log(-2*sqrt(e^(4*x) + e^(2*x)) + 2*e^(2*x) + 1)","A",0
54,1,50,0,0.141826," ","integrate(1/(1+tanh(x))^(1/2),x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{2} {\left(\frac{2}{\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}} + \log\left(-2 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 2 \, e^{\left(2 \, x\right)} + 1\right)\right)}"," ",0,"-1/4*sqrt(2)*(2/(sqrt(e^(4*x) + e^(2*x)) - e^(2*x)) + log(-2*sqrt(e^(4*x) + e^(2*x)) + 2*e^(2*x) + 1))","A",0
55,1,96,0,0.157326," ","integrate(1/(1+tanh(x))^(3/2),x, algorithm=""giac"")","-\frac{1}{24} \, \sqrt{2} {\left(\frac{2 \, {\left(6 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{2} - 3 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 3 \, e^{\left(2 \, x\right)} + 1\right)}}{{\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{3}} + 3 \, \log\left(-2 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 2 \, e^{\left(2 \, x\right)} + 1\right) - 8\right)}"," ",0,"-1/24*sqrt(2)*(2*(6*(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^2 - 3*sqrt(e^(4*x) + e^(2*x)) + 3*e^(2*x) + 1)/(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^3 + 3*log(-2*sqrt(e^(4*x) + e^(2*x)) + 2*e^(2*x) + 1) - 8)","B",0
56,1,140,0,0.147151," ","integrate(1/(1+tanh(x))^(5/2),x, algorithm=""giac"")","-\frac{1}{240} \, \sqrt{2} {\left(\frac{2 \, {\left(45 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{4} - 45 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{3} + 35 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{2} - 15 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 15 \, e^{\left(2 \, x\right)} + 3\right)}}{{\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{5}} + 15 \, \log\left(-2 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 2 \, e^{\left(2 \, x\right)} + 1\right) - 46\right)}"," ",0,"-1/240*sqrt(2)*(2*(45*(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^4 - 45*(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^3 + 35*(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^2 - 15*sqrt(e^(4*x) + e^(2*x)) + 15*e^(2*x) + 3)/(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^5 + 15*log(-2*sqrt(e^(4*x) + e^(2*x)) + 2*e^(2*x) + 1) - 46)","B",0
57,1,224,0,0.186955," ","integrate((a+b*tanh(d*x+c))^5,x, algorithm=""giac"")","\frac{3 \, {\left(a^{5} - 5 \, a^{4} b + 10 \, a^{3} b^{2} - 10 \, a^{2} b^{3} + 5 \, a b^{4} - b^{5}\right)} {\left(d x + c\right)} + 3 \, {\left(5 \, a^{4} b + 10 \, a^{2} b^{3} + b^{5}\right)} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) + \frac{4 \, {\left(15 \, a^{3} b^{2} + 10 \, a b^{4} + 3 \, {\left(5 \, a^{3} b^{2} + 5 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)} e^{\left(6 \, d x + 6 \, c\right)} + 3 \, {\left(15 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 10 \, a b^{4} + b^{5}\right)} e^{\left(4 \, d x + 4 \, c\right)} + {\left(45 \, a^{3} b^{2} + 15 \, a^{2} b^{3} + 25 \, a b^{4} + 3 \, b^{5}\right)} e^{\left(2 \, d x + 2 \, c\right)}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{4}}}{3 \, d}"," ",0,"1/3*(3*(a^5 - 5*a^4*b + 10*a^3*b^2 - 10*a^2*b^3 + 5*a*b^4 - b^5)*(d*x + c) + 3*(5*a^4*b + 10*a^2*b^3 + b^5)*log(e^(2*d*x + 2*c) + 1) + 4*(15*a^3*b^2 + 10*a*b^4 + 3*(5*a^3*b^2 + 5*a^2*b^3 + 5*a*b^4 + b^5)*e^(6*d*x + 6*c) + 3*(15*a^3*b^2 + 10*a^2*b^3 + 10*a*b^4 + b^5)*e^(4*d*x + 4*c) + (45*a^3*b^2 + 15*a^2*b^3 + 25*a*b^4 + 3*b^5)*e^(2*d*x + 2*c))/(e^(2*d*x + 2*c) + 1)^4)/d","A",0
58,1,152,0,0.161799," ","integrate((a+b*tanh(d*x+c))^4,x, algorithm=""giac"")","\frac{3 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} {\left(d x + c\right)} + 12 \, {\left(a^{3} b + a b^{3}\right)} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) + \frac{4 \, {\left(9 \, a^{2} b^{2} + 2 \, b^{4} + 3 \, {\left(3 \, a^{2} b^{2} + 2 \, a b^{3} + b^{4}\right)} e^{\left(4 \, d x + 4 \, c\right)} + 3 \, {\left(6 \, a^{2} b^{2} + 2 \, a b^{3} + b^{4}\right)} e^{\left(2 \, d x + 2 \, c\right)}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*(d*x + c) + 12*(a^3*b + a*b^3)*log(e^(2*d*x + 2*c) + 1) + 4*(9*a^2*b^2 + 2*b^4 + 3*(3*a^2*b^2 + 2*a*b^3 + b^4)*e^(4*d*x + 4*c) + 3*(6*a^2*b^2 + 2*a*b^3 + b^4)*e^(2*d*x + 2*c))/(e^(2*d*x + 2*c) + 1)^3)/d","A",0
59,1,97,0,0.143082," ","integrate((a+b*tanh(d*x+c))^3,x, algorithm=""giac"")","\frac{{\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} {\left(d x + c\right)} + {\left(3 \, a^{2} b + b^{3}\right)} \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) + \frac{2 \, {\left(3 \, a b^{2} + {\left(3 \, a b^{2} + b^{3}\right)} e^{\left(2 \, d x + 2 \, c\right)}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{2}}}{d}"," ",0,"((a^3 - 3*a^2*b + 3*a*b^2 - b^3)*(d*x + c) + (3*a^2*b + b^3)*log(e^(2*d*x + 2*c) + 1) + 2*(3*a*b^2 + (3*a*b^2 + b^3)*e^(2*d*x + 2*c))/(e^(2*d*x + 2*c) + 1)^2)/d","A",0
60,1,56,0,0.124176," ","integrate((a+b*tanh(d*x+c))^2,x, algorithm=""giac"")","\frac{2 \, a b \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right) + {\left(a^{2} - 2 \, a b + b^{2}\right)} {\left(d x + c\right)} + \frac{2 \, b^{2}}{e^{\left(2 \, d x + 2 \, c\right)} + 1}}{d}"," ",0,"(2*a*b*log(e^(2*d*x + 2*c) + 1) + (a^2 - 2*a*b + b^2)*(d*x + c) + 2*b^2/(e^(2*d*x + 2*c) + 1))/d","A",0
61,1,62,0,0.131850," ","integrate(1/(a+b*tanh(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{b \log\left({\left| a e^{\left(2 \, d x + 2 \, c\right)} + b e^{\left(2 \, d x + 2 \, c\right)} + a - b \right|}\right)}{a^{2} - b^{2}} - \frac{d x + c}{a - b}}{d}"," ",0,"-(b*log(abs(a*e^(2*d*x + 2*c) + b*e^(2*d*x + 2*c) + a - b))/(a^2 - b^2) - (d*x + c)/(a - b))/d","A",0
62,1,132,0,0.153545," ","integrate(1/(a+b*tanh(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, a b \log\left({\left| -a e^{\left(2 \, d x + 2 \, c\right)} - b e^{\left(2 \, d x + 2 \, c\right)} - a + b \right|}\right)}{a^{4} - 2 \, a^{2} b^{2} + b^{4}} - \frac{d x + c}{a^{2} - 2 \, a b + b^{2}} - \frac{2 \, {\left(a b^{2} - b^{3}\right)}}{{\left(a e^{\left(2 \, d x + 2 \, c\right)} + b e^{\left(2 \, d x + 2 \, c\right)} + a - b\right)} {\left(a + b\right)}^{2} {\left(a - b\right)}^{2}}}{d}"," ",0,"-(2*a*b*log(abs(-a*e^(2*d*x + 2*c) - b*e^(2*d*x + 2*c) - a + b))/(a^4 - 2*a^2*b^2 + b^4) - (d*x + c)/(a^2 - 2*a*b + b^2) - 2*(a*b^2 - b^3)/((a*e^(2*d*x + 2*c) + b*e^(2*d*x + 2*c) + a - b)*(a + b)^2*(a - b)^2))/d","A",0
63,1,205,0,0.173624," ","integrate(1/(a+b*tanh(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{{\left(3 \, a^{2} b + b^{3}\right)} \log\left({\left| -a e^{\left(2 \, d x + 2 \, c\right)} - b e^{\left(2 \, d x + 2 \, c\right)} - a + b \right|}\right)}{a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}} - \frac{d x + c}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} - \frac{2 \, {\left({\left(3 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} e^{\left(2 \, d x + 2 \, c\right)} + \frac{3 \, {\left(a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4}\right)}}{a + b}\right)}}{{\left(a e^{\left(2 \, d x + 2 \, c\right)} + b e^{\left(2 \, d x + 2 \, c\right)} + a - b\right)}^{2} {\left(a + b\right)}^{2} {\left(a - b\right)}^{3}}}{d}"," ",0,"-((3*a^2*b + b^3)*log(abs(-a*e^(2*d*x + 2*c) - b*e^(2*d*x + 2*c) - a + b))/(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6) - (d*x + c)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) - 2*((3*a^2*b^2 - 4*a*b^3 + b^4)*e^(2*d*x + 2*c) + 3*(a^3*b^2 - 2*a^2*b^3 + a*b^4)/(a + b))/((a*e^(2*d*x + 2*c) + b*e^(2*d*x + 2*c) + a - b)^2*(a + b)^2*(a - b)^3))/d","A",0
64,1,305,0,0.187659," ","integrate(1/(a+b*tanh(d*x+c))^4,x, algorithm=""giac"")","-\frac{\frac{12 \, {\left(a^{3} b + a b^{3}\right)} \log\left({\left| -a e^{\left(2 \, d x + 2 \, c\right)} - b e^{\left(2 \, d x + 2 \, c\right)} - a + b \right|}\right)}{a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}} - \frac{3 \, {\left(d x + c\right)}}{a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}} - \frac{4 \, {\left(3 \, {\left(3 \, a^{4} b^{2} - 2 \, a^{3} b^{3} - 2 \, a^{2} b^{4} + 2 \, a b^{5} - b^{6}\right)} e^{\left(4 \, d x + 4 \, c\right)} + 3 \, {\left(6 \, a^{4} b^{2} - 14 \, a^{3} b^{3} + 11 \, a^{2} b^{4} - 4 \, a b^{5} + b^{6}\right)} e^{\left(2 \, d x + 2 \, c\right)} + \frac{9 \, a^{5} b^{2} - 27 \, a^{4} b^{3} + 29 \, a^{3} b^{4} - 15 \, a^{2} b^{5} + 6 \, a b^{6} - 2 \, b^{7}}{a + b}\right)}}{{\left(a e^{\left(2 \, d x + 2 \, c\right)} + b e^{\left(2 \, d x + 2 \, c\right)} + a - b\right)}^{3} {\left(a + b\right)}^{3} {\left(a - b\right)}^{4}}}{3 \, d}"," ",0,"-1/3*(12*(a^3*b + a*b^3)*log(abs(-a*e^(2*d*x + 2*c) - b*e^(2*d*x + 2*c) - a + b))/(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8) - 3*(d*x + c)/(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4) - 4*(3*(3*a^4*b^2 - 2*a^3*b^3 - 2*a^2*b^4 + 2*a*b^5 - b^6)*e^(4*d*x + 4*c) + 3*(6*a^4*b^2 - 14*a^3*b^3 + 11*a^2*b^4 - 4*a*b^5 + b^6)*e^(2*d*x + 2*c) + (9*a^5*b^2 - 27*a^4*b^3 + 29*a^3*b^4 - 15*a^2*b^5 + 6*a*b^6 - 2*b^7)/(a + b))/((a*e^(2*d*x + 2*c) + b*e^(2*d*x + 2*c) + a - b)^3*(a + b)^3*(a - b)^4))/d","A",0
65,1,30,0,0.139299," ","integrate(1/(4+6*tanh(d*x+c)),x, algorithm=""giac"")","-\frac{5 \, d x + 5 \, c - 3 \, \log\left({\left| 5 \, e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right)}{10 \, d}"," ",0,"-1/10*(5*d*x + 5*c - 3*log(abs(5*e^(2*d*x + 2*c) - 1)))/d","A",0
66,1,25,0,0.131208," ","integrate(1/(4-6*tanh(d*x+c)),x, algorithm=""giac"")","\frac{d x + c - 3 \, \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 5 \right|}\right)}{10 \, d}"," ",0,"1/10*(d*x + c - 3*log(abs(e^(2*d*x + 2*c) - 5)))/d","A",0
67,-2,0,0,0.000000," ","integrate((a+b*tanh(d*x+c))^(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:index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
68,-2,0,0,0.000000," ","integrate(1/(a+b*tanh(d*x+c))^(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:index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
69,1,42,0,0.142259," ","integrate(sinh(x)^4/(1+tanh(x)),x, algorithm=""giac"")","-\frac{1}{384} \, {\left(22 \, e^{\left(6 \, x\right)} + 12 \, e^{\left(4 \, x\right)} - 9 \, e^{\left(2 \, x\right)} + 2\right)} e^{\left(-6 \, x\right)} + \frac{1}{16} \, x + \frac{1}{128} \, e^{\left(4 \, x\right)} - \frac{3}{64} \, e^{\left(2 \, x\right)}"," ",0,"-1/384*(22*e^(6*x) + 12*e^(4*x) - 9*e^(2*x) + 2)*e^(-6*x) + 1/16*x + 1/128*e^(4*x) - 3/64*e^(2*x)","A",0
70,1,25,0,0.139133," ","integrate(sinh(x)^3/(1+tanh(x)),x, algorithm=""giac"")","-\frac{1}{240} \, {\left(10 \, e^{\left(2 \, x\right)} - 3\right)} e^{\left(-5 \, x\right)} + \frac{1}{48} \, e^{\left(3 \, x\right)} - \frac{1}{8} \, e^{x}"," ",0,"-1/240*(10*e^(2*x) - 3)*e^(-5*x) + 1/48*e^(3*x) - 1/8*e^x","A",0
71,1,30,0,0.134143," ","integrate(sinh(x)^2/(1+tanh(x)),x, algorithm=""giac"")","\frac{1}{32} \, {\left(3 \, e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} - 1\right)} e^{\left(-4 \, x\right)} - \frac{1}{8} \, x + \frac{1}{16} \, e^{\left(2 \, x\right)}"," ",0,"1/32*(3*e^(4*x) + 2*e^(2*x) - 1)*e^(-4*x) - 1/8*x + 1/16*e^(2*x)","A",0
72,1,11,0,0.111392," ","integrate(sinh(x)/(1+tanh(x)),x, algorithm=""giac"")","\frac{1}{12} \, e^{\left(-3 \, x\right)} + \frac{1}{4} \, e^{x}"," ",0,"1/12*e^(-3*x) + 1/4*e^x","A",0
73,1,18,0,0.110399," ","integrate(csch(x)/(1+tanh(x)),x, algorithm=""giac"")","e^{\left(-x\right)} - \log\left(e^{x} + 1\right) + \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"e^(-x) - log(e^x + 1) + log(abs(e^x - 1))","A",0
74,1,29,0,0.116247," ","integrate(csch(x)^2/(1+tanh(x)),x, algorithm=""giac"")","2 \, x + \frac{e^{\left(2 \, x\right)} - 3}{e^{\left(2 \, x\right)} - 1} - \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"2*x + (e^(2*x) - 3)/(e^(2*x) - 1) - log(abs(e^(2*x) - 1))","A",0
75,1,34,0,0.113761," ","integrate(csch(x)^3/(1+tanh(x)),x, algorithm=""giac"")","\frac{e^{\left(3 \, x\right)} - 3 \, e^{x}}{{\left(e^{\left(2 \, x\right)} - 1\right)}^{2}} - \frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"(e^(3*x) - 3*e^x)/(e^(2*x) - 1)^2 - 1/2*log(e^x + 1) + 1/2*log(abs(e^x - 1))","B",0
76,1,18,0,0.114010," ","integrate(csch(x)^4/(1+tanh(x)),x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, e^{\left(2 \, x\right)} + 1\right)}}{3 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"-2/3*(3*e^(2*x) + 1)/(e^(2*x) - 1)^3","A",0
77,1,49,0,0.116397," ","integrate(csch(x)^5/(1+tanh(x)),x, algorithm=""giac"")","-\frac{3 \, e^{\left(7 \, x\right)} - 11 \, e^{\left(5 \, x\right)} + 53 \, e^{\left(3 \, x\right)} + 3 \, e^{x}}{12 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{4}} + \frac{1}{8} \, \log\left(e^{x} + 1\right) - \frac{1}{8} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/12*(3*e^(7*x) - 11*e^(5*x) + 53*e^(3*x) + 3*e^x)/(e^(2*x) - 1)^4 + 1/8*log(e^x + 1) - 1/8*log(abs(e^x - 1))","A",0
78,1,24,0,0.113729," ","integrate(csch(x)^6/(1+tanh(x)),x, algorithm=""giac"")","-\frac{4 \, {\left(20 \, e^{\left(4 \, x\right)} + 5 \, e^{\left(2 \, x\right)} - 1\right)}}{15 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{5}}"," ",0,"-4/15*(20*e^(4*x) + 5*e^(2*x) - 1)/(e^(2*x) - 1)^5","A",0
79,1,61,0,0.131178," ","integrate(csch(x)^7/(1+tanh(x)),x, algorithm=""giac"")","\frac{15 \, e^{\left(11 \, x\right)} - 85 \, e^{\left(9 \, x\right)} + 198 \, e^{\left(7 \, x\right)} - 1338 \, e^{\left(5 \, x\right)} - 85 \, e^{\left(3 \, x\right)} + 15 \, e^{x}}{120 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{6}} - \frac{1}{16} \, \log\left(e^{x} + 1\right) + \frac{1}{16} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"1/120*(15*e^(11*x) - 85*e^(9*x) + 198*e^(7*x) - 1338*e^(5*x) - 85*e^(3*x) + 15*e^x)/(e^(2*x) - 1)^6 - 1/16*log(e^x + 1) + 1/16*log(abs(e^x - 1))","A",0
80,1,214,0,0.142014," ","integrate(sinh(x)^4/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{a^{4} b \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}} + \frac{{\left(3 \, a^{2} - a b\right)} x}{8 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)}} - \frac{{\left(18 \, a^{2} e^{\left(4 \, x\right)} - 6 \, a b e^{\left(4 \, x\right)} - 8 \, a^{2} e^{\left(2 \, x\right)} + 12 \, a b e^{\left(2 \, x\right)} - 4 \, b^{2} e^{\left(2 \, x\right)} + a^{2} - 2 \, a b + b^{2}\right)} e^{\left(-4 \, x\right)}}{64 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)}} + \frac{a e^{\left(4 \, x\right)} + b e^{\left(4 \, x\right)} - 8 \, a e^{\left(2 \, x\right)} - 4 \, b e^{\left(2 \, x\right)}}{64 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}}"," ",0,"-a^4*b*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6) + 1/8*(3*a^2 - a*b)*x/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) - 1/64*(18*a^2*e^(4*x) - 6*a*b*e^(4*x) - 8*a^2*e^(2*x) + 12*a*b*e^(2*x) - 4*b^2*e^(2*x) + a^2 - 2*a*b + b^2)*e^(-4*x)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + 1/64*(a*e^(4*x) + b*e^(4*x) - 8*a*e^(2*x) - 4*b*e^(2*x))/(a^2 + 2*a*b + b^2)","A",0
81,1,163,0,0.141951," ","integrate(sinh(x)^3/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{2 \, a^{3} b \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} - b^{2}}} - \frac{{\left(9 \, a e^{\left(2 \, x\right)} - 3 \, b e^{\left(2 \, x\right)} - a + b\right)} e^{\left(-3 \, x\right)}}{24 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}} + \frac{a^{2} e^{\left(3 \, x\right)} + 2 \, a b e^{\left(3 \, x\right)} + b^{2} e^{\left(3 \, x\right)} - 9 \, a^{2} e^{x} - 12 \, a b e^{x} - 3 \, b^{2} e^{x}}{24 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)}}"," ",0,"-2*a^3*b*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/((a^4 - 2*a^2*b^2 + b^4)*sqrt(a^2 - b^2)) - 1/24*(9*a*e^(2*x) - 3*b*e^(2*x) - a + b)*e^(-3*x)/(a^2 - 2*a*b + b^2) + 1/24*(a^2*e^(3*x) + 2*a*b*e^(3*x) + b^2*e^(3*x) - 9*a^2*e^x - 12*a*b*e^x - 3*b^2*e^x)/(a^3 + 3*a^2*b + 3*a*b^2 + b^3)","A",0
82,1,101,0,0.125599," ","integrate(sinh(x)^2/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{a^{2} b \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{4} - 2 \, a^{2} b^{2} + b^{4}} - \frac{a x}{2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}} + \frac{{\left(2 \, a e^{\left(2 \, x\right)} - a + b\right)} e^{\left(-2 \, x\right)}}{8 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}} + \frac{e^{\left(2 \, x\right)}}{8 \, {\left(a + b\right)}}"," ",0,"a^2*b*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^4 - 2*a^2*b^2 + b^4) - 1/2*a*x/(a^2 - 2*a*b + b^2) + 1/8*(2*a*e^(2*x) - a + b)*e^(-2*x)/(a^2 - 2*a*b + b^2) + 1/8*e^(2*x)/(a + b)","A",0
83,1,60,0,0.136260," ","integrate(sinh(x)/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{2 \, a b \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{2} - b^{2}\right)}^{\frac{3}{2}}} + \frac{e^{\left(-x\right)}}{2 \, {\left(a - b\right)}} + \frac{e^{x}}{2 \, {\left(a + b\right)}}"," ",0,"2*a*b*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/(a^2 - b^2)^(3/2) + 1/2*e^(-x)/(a - b) + 1/2*e^x/(a + b)","A",0
84,1,60,0,0.121831," ","integrate(csch(x)/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{2 \, b \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} a} - \frac{\log\left(e^{x} + 1\right)}{a} + \frac{\log\left({\left| e^{x} - 1 \right|}\right)}{a}"," ",0,"-2*b*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*a) - log(e^x + 1)/a + log(abs(e^x - 1))/a","A",0
85,1,78,0,0.137829," ","integrate(csch(x)^2/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{{\left(a b + b^{2}\right)} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{3} + a^{2} b} - \frac{b \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)}{a^{2}} + \frac{b e^{\left(2 \, x\right)} - 2 \, a - b}{a^{2} {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"(a*b + b^2)*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^3 + a^2*b) - b*log(abs(e^(2*x) - 1))/a^2 + (b*e^(2*x) - 2*a - b)/(a^2*(e^(2*x) - 1))","B",0
86,1,125,0,0.120944," ","integrate(csch(x)^3/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{{\left(a^{2} - 2 \, b^{2}\right)} \log\left(e^{x} + 1\right)}{2 \, a^{3}} - \frac{{\left(a^{2} - 2 \, b^{2}\right)} \log\left({\left| e^{x} - 1 \right|}\right)}{2 \, a^{3}} + \frac{2 \, {\left(a^{2} b - b^{3}\right)} \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} a^{3}} - \frac{a e^{\left(3 \, x\right)} - 2 \, b e^{\left(3 \, x\right)} + a e^{x} + 2 \, b e^{x}}{a^{2} {\left(e^{\left(2 \, x\right)} - 1\right)}^{2}}"," ",0,"1/2*(a^2 - 2*b^2)*log(e^x + 1)/a^3 - 1/2*(a^2 - 2*b^2)*log(abs(e^x - 1))/a^3 + 2*(a^2*b - b^3)*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*a^3) - (a*e^(3*x) - 2*b*e^(3*x) + a*e^x + 2*b*e^x)/(a^2*(e^(2*x) - 1)^2)","A",0
87,1,202,0,0.141142," ","integrate(csch(x)^4/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{{\left(a^{3} b + a^{2} b^{2} - a b^{3} - b^{4}\right)} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{5} + a^{4} b} + \frac{{\left(a^{2} b - b^{3}\right)} \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)}{a^{4}} - \frac{11 \, a^{2} b e^{\left(6 \, x\right)} - 11 \, b^{3} e^{\left(6 \, x\right)} - 45 \, a^{2} b e^{\left(4 \, x\right)} + 12 \, a b^{2} e^{\left(4 \, x\right)} + 33 \, b^{3} e^{\left(4 \, x\right)} + 24 \, a^{3} e^{\left(2 \, x\right)} + 45 \, a^{2} b e^{\left(2 \, x\right)} - 24 \, a b^{2} e^{\left(2 \, x\right)} - 33 \, b^{3} e^{\left(2 \, x\right)} - 8 \, a^{3} - 11 \, a^{2} b + 12 \, a b^{2} + 11 \, b^{3}}{6 \, a^{4} {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"-(a^3*b + a^2*b^2 - a*b^3 - b^4)*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^5 + a^4*b) + (a^2*b - b^3)*log(abs(e^(2*x) - 1))/a^4 - 1/6*(11*a^2*b*e^(6*x) - 11*b^3*e^(6*x) - 45*a^2*b*e^(4*x) + 12*a*b^2*e^(4*x) + 33*b^3*e^(4*x) + 24*a^3*e^(2*x) + 45*a^2*b*e^(2*x) - 24*a*b^2*e^(2*x) - 33*b^3*e^(2*x) - 8*a^3 - 11*a^2*b + 12*a*b^2 + 11*b^3)/(a^4*(e^(2*x) - 1)^3)","B",0
88,1,273,0,0.128382," ","integrate(csch(x)^5/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{{\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \log\left(e^{x} + 1\right)}{8 \, a^{5}} + \frac{{\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} \log\left({\left| e^{x} - 1 \right|}\right)}{8 \, a^{5}} - \frac{2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} a^{5}} + \frac{9 \, a^{3} e^{\left(7 \, x\right)} - 24 \, a^{2} b e^{\left(7 \, x\right)} - 12 \, a b^{2} e^{\left(7 \, x\right)} + 24 \, b^{3} e^{\left(7 \, x\right)} - 33 \, a^{3} e^{\left(5 \, x\right)} + 104 \, a^{2} b e^{\left(5 \, x\right)} + 12 \, a b^{2} e^{\left(5 \, x\right)} - 72 \, b^{3} e^{\left(5 \, x\right)} - 33 \, a^{3} e^{\left(3 \, x\right)} - 104 \, a^{2} b e^{\left(3 \, x\right)} + 12 \, a b^{2} e^{\left(3 \, x\right)} + 72 \, b^{3} e^{\left(3 \, x\right)} + 9 \, a^{3} e^{x} + 24 \, a^{2} b e^{x} - 12 \, a b^{2} e^{x} - 24 \, b^{3} e^{x}}{12 \, a^{4} {\left(e^{\left(2 \, x\right)} - 1\right)}^{4}}"," ",0,"-1/8*(3*a^4 - 12*a^2*b^2 + 8*b^4)*log(e^x + 1)/a^5 + 1/8*(3*a^4 - 12*a^2*b^2 + 8*b^4)*log(abs(e^x - 1))/a^5 - 2*(a^4*b - 2*a^2*b^3 + b^5)*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*a^5) + 1/12*(9*a^3*e^(7*x) - 24*a^2*b*e^(7*x) - 12*a*b^2*e^(7*x) + 24*b^3*e^(7*x) - 33*a^3*e^(5*x) + 104*a^2*b*e^(5*x) + 12*a*b^2*e^(5*x) - 72*b^3*e^(5*x) - 33*a^3*e^(3*x) - 104*a^2*b*e^(3*x) + 12*a*b^2*e^(3*x) + 72*b^3*e^(3*x) + 9*a^3*e^x + 24*a^2*b*e^x - 12*a*b^2*e^x - 24*b^3*e^x)/(a^4*(e^(2*x) - 1)^4)","A",0
89,1,412,0,0.132617," ","integrate(csch(x)^6/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{{\left(a^{5} b + a^{4} b^{2} - 2 \, a^{3} b^{3} - 2 \, a^{2} b^{4} + a b^{5} + b^{6}\right)} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{7} + a^{6} b} - \frac{{\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)}{a^{6}} + \frac{137 \, a^{4} b e^{\left(10 \, x\right)} - 274 \, a^{2} b^{3} e^{\left(10 \, x\right)} + 137 \, b^{5} e^{\left(10 \, x\right)} - 805 \, a^{4} b e^{\left(8 \, x\right)} + 120 \, a^{3} b^{2} e^{\left(8 \, x\right)} + 1490 \, a^{2} b^{3} e^{\left(8 \, x\right)} - 120 \, a b^{4} e^{\left(8 \, x\right)} - 685 \, b^{5} e^{\left(8 \, x\right)} + 1970 \, a^{4} b e^{\left(6 \, x\right)} - 720 \, a^{3} b^{2} e^{\left(6 \, x\right)} - 3100 \, a^{2} b^{3} e^{\left(6 \, x\right)} + 480 \, a b^{4} e^{\left(6 \, x\right)} + 1370 \, b^{5} e^{\left(6 \, x\right)} - 640 \, a^{5} e^{\left(4 \, x\right)} - 1970 \, a^{4} b e^{\left(4 \, x\right)} + 1280 \, a^{3} b^{2} e^{\left(4 \, x\right)} + 3100 \, a^{2} b^{3} e^{\left(4 \, x\right)} - 720 \, a b^{4} e^{\left(4 \, x\right)} - 1370 \, b^{5} e^{\left(4 \, x\right)} + 320 \, a^{5} e^{\left(2 \, x\right)} + 805 \, a^{4} b e^{\left(2 \, x\right)} - 880 \, a^{3} b^{2} e^{\left(2 \, x\right)} - 1490 \, a^{2} b^{3} e^{\left(2 \, x\right)} + 480 \, a b^{4} e^{\left(2 \, x\right)} + 685 \, b^{5} e^{\left(2 \, x\right)} - 64 \, a^{5} - 137 \, a^{4} b + 200 \, a^{3} b^{2} + 274 \, a^{2} b^{3} - 120 \, a b^{4} - 137 \, b^{5}}{60 \, a^{6} {\left(e^{\left(2 \, x\right)} - 1\right)}^{5}}"," ",0,"(a^5*b + a^4*b^2 - 2*a^3*b^3 - 2*a^2*b^4 + a*b^5 + b^6)*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^7 + a^6*b) - (a^4*b - 2*a^2*b^3 + b^5)*log(abs(e^(2*x) - 1))/a^6 + 1/60*(137*a^4*b*e^(10*x) - 274*a^2*b^3*e^(10*x) + 137*b^5*e^(10*x) - 805*a^4*b*e^(8*x) + 120*a^3*b^2*e^(8*x) + 1490*a^2*b^3*e^(8*x) - 120*a*b^4*e^(8*x) - 685*b^5*e^(8*x) + 1970*a^4*b*e^(6*x) - 720*a^3*b^2*e^(6*x) - 3100*a^2*b^3*e^(6*x) + 480*a*b^4*e^(6*x) + 1370*b^5*e^(6*x) - 640*a^5*e^(4*x) - 1970*a^4*b*e^(4*x) + 1280*a^3*b^2*e^(4*x) + 3100*a^2*b^3*e^(4*x) - 720*a*b^4*e^(4*x) - 1370*b^5*e^(4*x) + 320*a^5*e^(2*x) + 805*a^4*b*e^(2*x) - 880*a^3*b^2*e^(2*x) - 1490*a^2*b^3*e^(2*x) + 480*a*b^4*e^(2*x) + 685*b^5*e^(2*x) - 64*a^5 - 137*a^4*b + 200*a^3*b^2 + 274*a^2*b^3 - 120*a*b^4 - 137*b^5)/(a^6*(e^(2*x) - 1)^5)","B",0
90,1,28,0,0.147568," ","integrate(csch(x)/(I+tanh(x)),x, algorithm=""giac"")","\sqrt{2} \arctan\left(-\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} e^{x}\right) + i \, \log\left(e^{x} + 1\right) - i \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"sqrt(2)*arctan(-(1/2*I - 1/2)*sqrt(2)*e^x) + I*log(e^x + 1) - I*log(abs(e^x - 1))","A",0
91,1,42,0,0.109853," ","integrate(cosh(x)^4/(1+tanh(x)),x, algorithm=""giac"")","-\frac{1}{384} \, {\left(110 \, e^{\left(6 \, x\right)} + 60 \, e^{\left(4 \, x\right)} + 15 \, e^{\left(2 \, x\right)} + 2\right)} e^{\left(-6 \, x\right)} + \frac{5}{16} \, x + \frac{1}{128} \, e^{\left(4 \, x\right)} + \frac{5}{64} \, e^{\left(2 \, x\right)}"," ",0,"-1/384*(110*e^(6*x) + 60*e^(4*x) + 15*e^(2*x) + 2)*e^(-6*x) + 5/16*x + 1/128*e^(4*x) + 5/64*e^(2*x)","A",0
92,1,31,0,0.114565," ","integrate(cosh(x)^3/(1+tanh(x)),x, algorithm=""giac"")","-\frac{1}{240} \, {\left(90 \, e^{\left(4 \, x\right)} + 20 \, e^{\left(2 \, x\right)} + 3\right)} e^{\left(-5 \, x\right)} + \frac{1}{48} \, e^{\left(3 \, x\right)} + \frac{1}{4} \, e^{x}"," ",0,"-1/240*(90*e^(4*x) + 20*e^(2*x) + 3)*e^(-5*x) + 1/48*e^(3*x) + 1/4*e^x","A",0
93,1,30,0,0.134527," ","integrate(cosh(x)^2/(1+tanh(x)),x, algorithm=""giac"")","-\frac{1}{32} \, {\left(9 \, e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-4 \, x\right)} + \frac{3}{8} \, x + \frac{1}{16} \, e^{\left(2 \, x\right)}"," ",0,"-1/32*(9*e^(4*x) + 6*e^(2*x) + 1)*e^(-4*x) + 3/8*x + 1/16*e^(2*x)","A",0
94,1,19,0,0.129592," ","integrate(cosh(x)/(1+tanh(x)),x, algorithm=""giac"")","-\frac{1}{12} \, {\left(6 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-3 \, x\right)} + \frac{1}{4} \, e^{x}"," ",0,"-1/12*(6*e^(2*x) + 1)*e^(-3*x) + 1/4*e^x","A",0
95,1,6,0,0.111675," ","integrate(sech(x)/(1+tanh(x)),x, algorithm=""giac"")","-e^{\left(-x\right)}"," ",0,"-e^(-x)","A",0
96,1,13,0,0.109509," ","integrate(sech(x)^2/(1+tanh(x)),x, algorithm=""giac"")","2 \, x - \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"2*x - log(e^(2*x) + 1)","B",0
97,1,18,0,0.140224," ","integrate(sech(x)^3/(1+tanh(x)),x, algorithm=""giac"")","\frac{2 \, e^{x}}{e^{\left(2 \, x\right)} + 1} + 2 \, \arctan\left(e^{x}\right)"," ",0,"2*e^x/(e^(2*x) + 1) + 2*arctan(e^x)","B",0
98,1,10,0,0.128544," ","integrate(sech(x)^4/(1+tanh(x)),x, algorithm=""giac"")","-\frac{2}{{\left(e^{\left(2 \, x\right)} + 1\right)}^{2}}"," ",0,"-2/(e^(2*x) + 1)^2","A",0
99,1,31,0,0.116281," ","integrate(sech(x)^5/(1+tanh(x)),x, algorithm=""giac"")","\frac{3 \, e^{\left(5 \, x\right)} + 8 \, e^{\left(3 \, x\right)} - 3 \, e^{x}}{3 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}} + \arctan\left(e^{x}\right)"," ",0,"1/3*(3*e^(5*x) + 8*e^(3*x) - 3*e^x)/(e^(2*x) + 1)^3 + arctan(e^x)","A",0
100,1,18,0,0.128649," ","integrate(sech(x)^6/(1+tanh(x)),x, algorithm=""giac"")","-\frac{4 \, {\left(4 \, e^{\left(2 \, x\right)} + 1\right)}}{3 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{4}}"," ",0,"-4/3*(4*e^(2*x) + 1)/(e^(2*x) + 1)^4","A",0
101,1,45,0,0.122463," ","integrate(sech(x)^7/(1+tanh(x)),x, algorithm=""giac"")","\frac{15 \, e^{\left(9 \, x\right)} + 70 \, e^{\left(7 \, x\right)} + 128 \, e^{\left(5 \, x\right)} - 70 \, e^{\left(3 \, x\right)} - 15 \, e^{x}}{20 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{5}} + \frac{3}{4} \, \arctan\left(e^{x}\right)"," ",0,"1/20*(15*e^(9*x) + 70*e^(7*x) + 128*e^(5*x) - 70*e^(3*x) - 15*e^x)/(e^(2*x) + 1)^5 + 3/4*arctan(e^x)","A",0
102,1,593,0,0.149902," ","integrate(sech(x)^8/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{{\left(a^{7} + a^{6} b - 3 \, a^{5} b^{2} - 3 \, a^{4} b^{3} + 3 \, a^{3} b^{4} + 3 \, a^{2} b^{5} - a b^{6} - b^{7}\right)} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a b^{7} + b^{8}} + \frac{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \log\left(e^{\left(2 \, x\right)} + 1\right)}{b^{7}} - \frac{147 \, a^{6} e^{\left(12 \, x\right)} - 441 \, a^{4} b^{2} e^{\left(12 \, x\right)} + 441 \, a^{2} b^{4} e^{\left(12 \, x\right)} - 147 \, b^{6} e^{\left(12 \, x\right)} + 882 \, a^{6} e^{\left(10 \, x\right)} + 120 \, a^{5} b e^{\left(10 \, x\right)} - 2766 \, a^{4} b^{2} e^{\left(10 \, x\right)} - 240 \, a^{3} b^{3} e^{\left(10 \, x\right)} + 2886 \, a^{2} b^{4} e^{\left(10 \, x\right)} + 120 \, a b^{5} e^{\left(10 \, x\right)} - 1002 \, b^{6} e^{\left(10 \, x\right)} + 2205 \, a^{6} e^{\left(8 \, x\right)} + 600 \, a^{5} b e^{\left(8 \, x\right)} - 7095 \, a^{4} b^{2} e^{\left(8 \, x\right)} - 1440 \, a^{3} b^{3} e^{\left(8 \, x\right)} + 7815 \, a^{2} b^{4} e^{\left(8 \, x\right)} + 840 \, a b^{5} e^{\left(8 \, x\right)} - 2925 \, b^{6} e^{\left(8 \, x\right)} + 2940 \, a^{6} e^{\left(6 \, x\right)} + 1200 \, a^{5} b e^{\left(6 \, x\right)} - 9540 \, a^{4} b^{2} e^{\left(6 \, x\right)} - 3200 \, a^{3} b^{3} e^{\left(6 \, x\right)} + 10740 \, a^{2} b^{4} e^{\left(6 \, x\right)} + 2640 \, a b^{5} e^{\left(6 \, x\right)} - 4780 \, b^{6} e^{\left(6 \, x\right)} + 2205 \, a^{6} e^{\left(4 \, x\right)} + 1200 \, a^{5} b e^{\left(4 \, x\right)} - 7095 \, a^{4} b^{2} e^{\left(4 \, x\right)} - 3360 \, a^{3} b^{3} e^{\left(4 \, x\right)} + 7815 \, a^{2} b^{4} e^{\left(4 \, x\right)} + 3120 \, a b^{5} e^{\left(4 \, x\right)} - 2925 \, b^{6} e^{\left(4 \, x\right)} + 882 \, a^{6} e^{\left(2 \, x\right)} + 600 \, a^{5} b e^{\left(2 \, x\right)} - 2766 \, a^{4} b^{2} e^{\left(2 \, x\right)} - 1680 \, a^{3} b^{3} e^{\left(2 \, x\right)} + 2886 \, a^{2} b^{4} e^{\left(2 \, x\right)} + 1464 \, a b^{5} e^{\left(2 \, x\right)} - 1002 \, b^{6} e^{\left(2 \, x\right)} + 147 \, a^{6} + 120 \, a^{5} b - 441 \, a^{4} b^{2} - 320 \, a^{3} b^{3} + 441 \, a^{2} b^{4} + 264 \, a b^{5} - 147 \, b^{6}}{60 \, b^{7} {\left(e^{\left(2 \, x\right)} + 1\right)}^{6}}"," ",0,"-(a^7 + a^6*b - 3*a^5*b^2 - 3*a^4*b^3 + 3*a^3*b^4 + 3*a^2*b^5 - a*b^6 - b^7)*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a*b^7 + b^8) + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*log(e^(2*x) + 1)/b^7 - 1/60*(147*a^6*e^(12*x) - 441*a^4*b^2*e^(12*x) + 441*a^2*b^4*e^(12*x) - 147*b^6*e^(12*x) + 882*a^6*e^(10*x) + 120*a^5*b*e^(10*x) - 2766*a^4*b^2*e^(10*x) - 240*a^3*b^3*e^(10*x) + 2886*a^2*b^4*e^(10*x) + 120*a*b^5*e^(10*x) - 1002*b^6*e^(10*x) + 2205*a^6*e^(8*x) + 600*a^5*b*e^(8*x) - 7095*a^4*b^2*e^(8*x) - 1440*a^3*b^3*e^(8*x) + 7815*a^2*b^4*e^(8*x) + 840*a*b^5*e^(8*x) - 2925*b^6*e^(8*x) + 2940*a^6*e^(6*x) + 1200*a^5*b*e^(6*x) - 9540*a^4*b^2*e^(6*x) - 3200*a^3*b^3*e^(6*x) + 10740*a^2*b^4*e^(6*x) + 2640*a*b^5*e^(6*x) - 4780*b^6*e^(6*x) + 2205*a^6*e^(4*x) + 1200*a^5*b*e^(4*x) - 7095*a^4*b^2*e^(4*x) - 3360*a^3*b^3*e^(4*x) + 7815*a^2*b^4*e^(4*x) + 3120*a*b^5*e^(4*x) - 2925*b^6*e^(4*x) + 882*a^6*e^(2*x) + 600*a^5*b*e^(2*x) - 2766*a^4*b^2*e^(2*x) - 1680*a^3*b^3*e^(2*x) + 2886*a^2*b^4*e^(2*x) + 1464*a*b^5*e^(2*x) - 1002*b^6*e^(2*x) + 147*a^6 + 120*a^5*b - 441*a^4*b^2 - 320*a^3*b^3 + 441*a^2*b^4 + 264*a*b^5 - 147*b^6)/(b^7*(e^(2*x) + 1)^6)","B",0
103,1,316,0,0.133610," ","integrate(sech(x)^6/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{{\left(a^{5} + a^{4} b - 2 \, a^{3} b^{2} - 2 \, a^{2} b^{3} + a b^{4} + b^{5}\right)} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a b^{5} + b^{6}} - \frac{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \log\left(e^{\left(2 \, x\right)} + 1\right)}{b^{5}} + \frac{25 \, a^{4} e^{\left(8 \, x\right)} - 50 \, a^{2} b^{2} e^{\left(8 \, x\right)} + 25 \, b^{4} e^{\left(8 \, x\right)} + 100 \, a^{4} e^{\left(6 \, x\right)} + 24 \, a^{3} b e^{\left(6 \, x\right)} - 224 \, a^{2} b^{2} e^{\left(6 \, x\right)} - 24 \, a b^{3} e^{\left(6 \, x\right)} + 124 \, b^{4} e^{\left(6 \, x\right)} + 150 \, a^{4} e^{\left(4 \, x\right)} + 72 \, a^{3} b e^{\left(4 \, x\right)} - 348 \, a^{2} b^{2} e^{\left(4 \, x\right)} - 120 \, a b^{3} e^{\left(4 \, x\right)} + 246 \, b^{4} e^{\left(4 \, x\right)} + 100 \, a^{4} e^{\left(2 \, x\right)} + 72 \, a^{3} b e^{\left(2 \, x\right)} - 224 \, a^{2} b^{2} e^{\left(2 \, x\right)} - 136 \, a b^{3} e^{\left(2 \, x\right)} + 124 \, b^{4} e^{\left(2 \, x\right)} + 25 \, a^{4} + 24 \, a^{3} b - 50 \, a^{2} b^{2} - 40 \, a b^{3} + 25 \, b^{4}}{12 \, b^{5} {\left(e^{\left(2 \, x\right)} + 1\right)}^{4}}"," ",0,"(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5)*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a*b^5 + b^6) - (a^4 - 2*a^2*b^2 + b^4)*log(e^(2*x) + 1)/b^5 + 1/12*(25*a^4*e^(8*x) - 50*a^2*b^2*e^(8*x) + 25*b^4*e^(8*x) + 100*a^4*e^(6*x) + 24*a^3*b*e^(6*x) - 224*a^2*b^2*e^(6*x) - 24*a*b^3*e^(6*x) + 124*b^4*e^(6*x) + 150*a^4*e^(4*x) + 72*a^3*b*e^(4*x) - 348*a^2*b^2*e^(4*x) - 120*a*b^3*e^(4*x) + 246*b^4*e^(4*x) + 100*a^4*e^(2*x) + 72*a^3*b*e^(2*x) - 224*a^2*b^2*e^(2*x) - 136*a*b^3*e^(2*x) + 124*b^4*e^(2*x) + 25*a^4 + 24*a^3*b - 50*a^2*b^2 - 40*a*b^3 + 25*b^4)/(b^5*(e^(2*x) + 1)^4)","B",0
104,1,104,0,0.139426," ","integrate(sech(x)^4/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{{\left(a^{3} + a^{2} b - a b^{2} - b^{3}\right)} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a b^{3} + b^{4}} + \frac{{\left(a^{2} - b^{2}\right)} \log\left(e^{\left(2 \, x\right)} + 1\right)}{b^{3}} - \frac{2 \, {\left(a b + {\left(a b - b^{2}\right)} e^{\left(2 \, x\right)}\right)}}{b^{3} {\left(e^{\left(2 \, x\right)} + 1\right)}^{2}}"," ",0,"-(a^3 + a^2*b - a*b^2 - b^3)*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a*b^3 + b^4) + (a^2 - b^2)*log(e^(2*x) + 1)/b^3 - 2*(a*b + (a*b - b^2)*e^(2*x))/(b^3*(e^(2*x) + 1)^2)","B",0
105,1,45,0,0.119932," ","integrate(sech(x)^2/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{{\left(a + b\right)} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a b + b^{2}} - \frac{\log\left(e^{\left(2 \, x\right)} + 1\right)}{b}"," ",0,"(a + b)*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a*b + b^2) - log(e^(2*x) + 1)/b","B",0
106,1,43,0,0.117290," ","integrate(1/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{b \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{2} - b^{2}} + \frac{x}{a - b}"," ",0,"-b*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^2 - b^2) + x/(a - b)","A",0
107,1,111,0,0.123158," ","integrate(cosh(x)^2/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{b^{3} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{4} - 2 \, a^{2} b^{2} + b^{4}} + \frac{{\left(a - 2 \, b\right)} x}{2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}} - \frac{{\left(2 \, a e^{\left(2 \, x\right)} - 4 \, b e^{\left(2 \, x\right)} + a - b\right)} e^{\left(-2 \, x\right)}}{8 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}} + \frac{e^{\left(2 \, x\right)}}{8 \, {\left(a + b\right)}}"," ",0,"b^3*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^4 - 2*a^2*b^2 + b^4) + 1/2*(a - 2*b)*x/(a^2 - 2*a*b + b^2) - 1/8*(2*a*e^(2*x) - 4*b*e^(2*x) + a - b)*e^(-2*x)/(a^2 - 2*a*b + b^2) + 1/8*e^(2*x)/(a + b)","A",0
108,1,227,0,0.157285," ","integrate(cosh(x)^4/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{b^{5} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}} + \frac{{\left(3 \, a^{2} - 9 \, a b + 8 \, b^{2}\right)} x}{8 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)}} - \frac{{\left(18 \, a^{2} e^{\left(4 \, x\right)} - 54 \, a b e^{\left(4 \, x\right)} + 48 \, b^{2} e^{\left(4 \, x\right)} + 8 \, a^{2} e^{\left(2 \, x\right)} - 20 \, a b e^{\left(2 \, x\right)} + 12 \, b^{2} e^{\left(2 \, x\right)} + a^{2} - 2 \, a b + b^{2}\right)} e^{\left(-4 \, x\right)}}{64 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)}} + \frac{a e^{\left(4 \, x\right)} + b e^{\left(4 \, x\right)} + 8 \, a e^{\left(2 \, x\right)} + 12 \, b e^{\left(2 \, x\right)}}{64 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}}"," ",0,"-b^5*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6) + 1/8*(3*a^2 - 9*a*b + 8*b^2)*x/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) - 1/64*(18*a^2*e^(4*x) - 54*a*b*e^(4*x) + 48*b^2*e^(4*x) + 8*a^2*e^(2*x) - 20*a*b*e^(2*x) + 12*b^2*e^(2*x) + a^2 - 2*a*b + b^2)*e^(-4*x)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + 1/64*(a*e^(4*x) + b*e^(4*x) + 8*a*e^(2*x) + 12*b*e^(2*x))/(a^2 + 2*a*b + b^2)","A",0
109,1,326,0,0.171036," ","integrate(sech(x)^7/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{{\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \arctan\left(e^{x}\right)}{4 \, b^{6}} - \frac{2 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} b^{6}} + \frac{120 \, a^{4} e^{\left(9 \, x\right)} - 60 \, a^{3} b e^{\left(9 \, x\right)} - 240 \, a^{2} b^{2} e^{\left(9 \, x\right)} + 105 \, a b^{3} e^{\left(9 \, x\right)} + 120 \, b^{4} e^{\left(9 \, x\right)} + 480 \, a^{4} e^{\left(7 \, x\right)} - 120 \, a^{3} b e^{\left(7 \, x\right)} - 1120 \, a^{2} b^{2} e^{\left(7 \, x\right)} + 330 \, a b^{3} e^{\left(7 \, x\right)} + 640 \, b^{4} e^{\left(7 \, x\right)} + 720 \, a^{4} e^{\left(5 \, x\right)} - 1760 \, a^{2} b^{2} e^{\left(5 \, x\right)} + 1424 \, b^{4} e^{\left(5 \, x\right)} + 480 \, a^{4} e^{\left(3 \, x\right)} + 120 \, a^{3} b e^{\left(3 \, x\right)} - 1120 \, a^{2} b^{2} e^{\left(3 \, x\right)} - 330 \, a b^{3} e^{\left(3 \, x\right)} + 640 \, b^{4} e^{\left(3 \, x\right)} + 120 \, a^{4} e^{x} + 60 \, a^{3} b e^{x} - 240 \, a^{2} b^{2} e^{x} - 105 \, a b^{3} e^{x} + 120 \, b^{4} e^{x}}{60 \, b^{5} {\left(e^{\left(2 \, x\right)} + 1\right)}^{5}}"," ",0,"1/4*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*arctan(e^x)/b^6 - 2*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*b^6) + 1/60*(120*a^4*e^(9*x) - 60*a^3*b*e^(9*x) - 240*a^2*b^2*e^(9*x) + 105*a*b^3*e^(9*x) + 120*b^4*e^(9*x) + 480*a^4*e^(7*x) - 120*a^3*b*e^(7*x) - 1120*a^2*b^2*e^(7*x) + 330*a*b^3*e^(7*x) + 640*b^4*e^(7*x) + 720*a^4*e^(5*x) - 1760*a^2*b^2*e^(5*x) + 1424*b^4*e^(5*x) + 480*a^4*e^(3*x) + 120*a^3*b*e^(3*x) - 1120*a^2*b^2*e^(3*x) - 330*a*b^3*e^(3*x) + 640*b^4*e^(3*x) + 120*a^4*e^x + 60*a^3*b*e^x - 240*a^2*b^2*e^x - 105*a*b^3*e^x + 120*b^4*e^x)/(b^5*(e^(2*x) + 1)^5)","B",0
110,1,152,0,0.145323," ","integrate(sech(x)^5/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{{\left(2 \, a^{3} - 3 \, a b^{2}\right)} \arctan\left(e^{x}\right)}{b^{4}} + \frac{2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} b^{4}} - \frac{6 \, a^{2} e^{\left(5 \, x\right)} - 3 \, a b e^{\left(5 \, x\right)} - 6 \, b^{2} e^{\left(5 \, x\right)} + 12 \, a^{2} e^{\left(3 \, x\right)} - 20 \, b^{2} e^{\left(3 \, x\right)} + 6 \, a^{2} e^{x} + 3 \, a b e^{x} - 6 \, b^{2} e^{x}}{3 \, b^{3} {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}}"," ",0,"-(2*a^3 - 3*a*b^2)*arctan(e^x)/b^4 + 2*(a^4 - 2*a^2*b^2 + b^4)*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*b^4) - 1/3*(6*a^2*e^(5*x) - 3*a*b*e^(5*x) - 6*b^2*e^(5*x) + 12*a^2*e^(3*x) - 20*b^2*e^(3*x) + 6*a^2*e^x + 3*a*b*e^x - 6*b^2*e^x)/(b^3*(e^(2*x) + 1)^3)","A",0
111,1,63,0,0.120742," ","integrate(sech(x)^3/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{2 \, a \arctan\left(e^{x}\right)}{b^{2}} - \frac{2 \, \sqrt{a^{2} - b^{2}} \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{b^{2}} + \frac{2 \, e^{x}}{b {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"2*a*arctan(e^x)/b^2 - 2*sqrt(a^2 - b^2)*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/b^2 + 2*e^x/(b*(e^(2*x) + 1))","A",0
112,1,35,0,0.116582," ","integrate(sech(x)/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}}}"," ",0,"2*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/sqrt(a^2 - b^2)","A",0
113,1,61,0,0.125727," ","integrate(cosh(x)/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{2 \, b^{2} \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{2} - b^{2}\right)}^{\frac{3}{2}}} - \frac{e^{\left(-x\right)}}{2 \, {\left(a - b\right)}} + \frac{e^{x}}{2 \, {\left(a + b\right)}}"," ",0,"-2*b^2*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/(a^2 - b^2)^(3/2) - 1/2*e^(-x)/(a - b) + 1/2*e^x/(a + b)","A",0
114,1,162,0,0.136078," ","integrate(cosh(x)^3/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{2 \, b^{4} \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} - b^{2}}} - \frac{{\left(9 \, a e^{\left(2 \, x\right)} - 15 \, b e^{\left(2 \, x\right)} + a - b\right)} e^{\left(-3 \, x\right)}}{24 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}} + \frac{a^{2} e^{\left(3 \, x\right)} + 2 \, a b e^{\left(3 \, x\right)} + b^{2} e^{\left(3 \, x\right)} + 9 \, a^{2} e^{x} + 24 \, a b e^{x} + 15 \, b^{2} e^{x}}{24 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)}}"," ",0,"2*b^4*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/((a^4 - 2*a^2*b^2 + b^4)*sqrt(a^2 - b^2)) - 1/24*(9*a*e^(2*x) - 15*b*e^(2*x) + a - b)*e^(-3*x)/(a^2 - 2*a*b + b^2) + 1/24*(a^2*e^(3*x) + 2*a*b*e^(3*x) + b^2*e^(3*x) + 9*a^2*e^x + 24*a*b*e^x + 15*b^2*e^x)/(a^3 + 3*a^2*b + 3*a*b^2 + b^3)","A",0
115,1,47,0,0.116532," ","integrate(tanh(x)^5/(1+tanh(x)),x, algorithm=""giac"")","\frac{9}{2} \, x + \frac{{\left(51 \, e^{\left(6 \, x\right)} + 81 \, e^{\left(4 \, x\right)} + 65 \, e^{\left(2 \, x\right)} + 3\right)} e^{\left(-2 \, x\right)}}{12 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}} - 2 \, \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"9/2*x + 1/12*(51*e^(6*x) + 81*e^(4*x) + 65*e^(2*x) + 3)*e^(-2*x)/(e^(2*x) + 1)^3 - 2*log(e^(2*x) + 1)","A",0
116,1,39,0,0.135132," ","integrate(tanh(x)^4/(1+tanh(x)),x, algorithm=""giac"")","-\frac{7}{2} \, x - \frac{{\left(e^{\left(4 \, x\right)} + 10 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-2 \, x\right)}}{4 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{2}} + 2 \, \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"-7/2*x - 1/4*(e^(4*x) + 10*e^(2*x) + 1)*e^(-2*x)/(e^(2*x) + 1)^2 + 2*log(e^(2*x) + 1)","A",0
117,1,35,0,0.135210," ","integrate(tanh(x)^3/(1+tanh(x)),x, algorithm=""giac"")","\frac{5}{2} \, x + \frac{{\left(9 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-2 \, x\right)}}{4 \, {\left(e^{\left(2 \, x\right)} + 1\right)}} - \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"5/2*x + 1/4*(9*e^(2*x) + 1)*e^(-2*x)/(e^(2*x) + 1) - log(e^(2*x) + 1)","A",0
118,1,17,0,0.115364," ","integrate(tanh(x)^2/(1+tanh(x)),x, algorithm=""giac"")","-\frac{3}{2} \, x - \frac{1}{4} \, e^{\left(-2 \, x\right)} + \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"-3/2*x - 1/4*e^(-2*x) + log(e^(2*x) + 1)","A",0
119,1,10,0,0.113416," ","integrate(tanh(x)/(1+tanh(x)),x, algorithm=""giac"")","\frac{1}{2} \, x + \frac{1}{4} \, e^{\left(-2 \, x\right)}"," ",0,"1/2*x + 1/4*e^(-2*x)","A",0
120,1,10,0,0.133962," ","integrate(1/(1+tanh(x)),x, algorithm=""giac"")","\frac{1}{2} \, x - \frac{1}{4} \, e^{\left(-2 \, x\right)}"," ",0,"1/2*x - 1/4*e^(-2*x)","A",0
121,1,18,0,0.118190," ","integrate(coth(x)/(1+tanh(x)),x, algorithm=""giac"")","-\frac{3}{2} \, x + \frac{1}{4} \, e^{\left(-2 \, x\right)} + \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"-3/2*x + 1/4*e^(-2*x) + log(abs(e^(2*x) - 1))","A",0
122,1,36,0,0.139662," ","integrate(coth(x)^2/(1+tanh(x)),x, algorithm=""giac"")","\frac{5}{2} \, x - \frac{{\left(9 \, e^{\left(2 \, x\right)} - 1\right)} e^{\left(-2 \, x\right)}}{4 \, {\left(e^{\left(2 \, x\right)} - 1\right)}} - \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"5/2*x - 1/4*(9*e^(2*x) - 1)*e^(-2*x)/(e^(2*x) - 1) - log(abs(e^(2*x) - 1))","A",0
123,1,40,0,0.139706," ","integrate(coth(x)^3/(1+tanh(x)),x, algorithm=""giac"")","-\frac{7}{2} \, x + \frac{{\left(e^{\left(4 \, x\right)} - 10 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-2 \, x\right)}}{4 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{2}} + 2 \, \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"-7/2*x + 1/4*(e^(4*x) - 10*e^(2*x) + 1)*e^(-2*x)/(e^(2*x) - 1)^2 + 2*log(abs(e^(2*x) - 1))","A",0
124,1,48,0,0.140516," ","integrate(coth(x)^4/(1+tanh(x)),x, algorithm=""giac"")","\frac{9}{2} \, x - \frac{{\left(51 \, e^{\left(6 \, x\right)} - 81 \, e^{\left(4 \, x\right)} + 65 \, e^{\left(2 \, x\right)} - 3\right)} e^{\left(-2 \, x\right)}}{12 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}} - 2 \, \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"9/2*x - 1/12*(51*e^(6*x) - 81*e^(4*x) + 65*e^(2*x) - 3)*e^(-2*x)/(e^(2*x) - 1)^3 - 2*log(abs(e^(2*x) - 1))","A",0
125,1,96,0,0.153705," ","integrate(tanh(x)*(1+tanh(x))^(3/2),x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{2} {\left(\frac{2 \, {\left(9 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{2} - 12 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 12 \, e^{\left(2 \, x\right)} + 5\right)}}{{\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)} - 1\right)}^{3}} - 3 \, \log\left(-2 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 2 \, e^{\left(2 \, x\right)} + 1\right)\right)}"," ",0,"1/3*sqrt(2)*(2*(9*(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^2 - 12*sqrt(e^(4*x) + e^(2*x)) + 12*e^(2*x) + 5)/(sqrt(e^(4*x) + e^(2*x)) - e^(2*x) - 1)^3 - 3*log(-2*sqrt(e^(4*x) + e^(2*x)) + 2*e^(2*x) + 1))","B",0
126,1,53,0,0.145321," ","integrate((1+tanh(x))^(1/2)*tanh(x),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{2} {\left(\frac{4}{\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)} - 1} - \log\left(-2 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 2 \, e^{\left(2 \, x\right)} + 1\right)\right)}"," ",0,"1/2*sqrt(2)*(4/(sqrt(e^(4*x) + e^(2*x)) - e^(2*x) - 1) - log(-2*sqrt(e^(4*x) + e^(2*x)) + 2*e^(2*x) + 1))","B",0
127,1,58,0,0.175806," ","integrate(tanh(x)/(1+tanh(x))^(1/2),x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{2} \log\left(-2 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 2 \, e^{\left(2 \, x\right)} + 1\right) - \frac{1}{2} \, \sqrt{2} + \frac{\sqrt{2}}{2 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}}"," ",0,"-1/4*sqrt(2)*log(-2*sqrt(e^(4*x) + e^(2*x)) + 2*e^(2*x) + 1) - 1/2*sqrt(2) + 1/2*sqrt(2)/(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))","B",0
128,1,74,0,0.163074," ","integrate(tanh(x)/(1+tanh(x))^(3/2),x, algorithm=""giac"")","-\frac{1}{24} \, \sqrt{2} {\left(\frac{2 \, {\left(3 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - 3 \, e^{\left(2 \, x\right)} - 1\right)}}{{\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{3}} + 3 \, \log\left(-2 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 2 \, e^{\left(2 \, x\right)} + 1\right) - 4\right)}"," ",0,"-1/24*sqrt(2)*(2*(3*sqrt(e^(4*x) + e^(2*x)) - 3*e^(2*x) - 1)/(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^3 + 3*log(-2*sqrt(e^(4*x) + e^(2*x)) + 2*e^(2*x) + 1) - 4)","B",0
129,1,140,0,0.156588," ","integrate(tanh(x)^2*(1+tanh(x))^(3/2),x, algorithm=""giac"")","\frac{1}{5} \, \sqrt{2} {\left(\frac{2 \, {\left(25 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{4} - 60 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{3} + 70 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{2} - 40 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 40 \, e^{\left(2 \, x\right)} + 9\right)}}{{\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)} - 1\right)}^{5}} - 5 \, \log\left(-2 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 2 \, e^{\left(2 \, x\right)} + 1\right)\right)}"," ",0,"1/5*sqrt(2)*(2*(25*(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^4 - 60*(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^3 + 70*(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^2 - 40*sqrt(e^(4*x) + e^(2*x)) + 40*e^(2*x) + 9)/(sqrt(e^(4*x) + e^(2*x)) - e^(2*x) - 1)^5 - 5*log(-2*sqrt(e^(4*x) + e^(2*x)) + 2*e^(2*x) + 1))","B",0
130,1,96,0,0.164641," ","integrate((1+tanh(x))^(1/2)*tanh(x)^2,x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{2} {\left(\frac{8 \, {\left(3 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{2} - 3 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 3 \, e^{\left(2 \, x\right)} + 1\right)}}{{\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)} - 1\right)}^{3}} - 3 \, \log\left(-2 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 2 \, e^{\left(2 \, x\right)} + 1\right)\right)}"," ",0,"1/6*sqrt(2)*(8*(3*(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^2 - 3*sqrt(e^(4*x) + e^(2*x)) + 3*e^(2*x) + 1)/(sqrt(e^(4*x) + e^(2*x)) - e^(2*x) - 1)^3 - 3*log(-2*sqrt(e^(4*x) + e^(2*x)) + 2*e^(2*x) + 1))","B",0
131,1,54,0,0.179566," ","integrate(tanh(x)^2/(1+tanh(x))^(1/2),x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{2} \log\left(-4 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 4 \, e^{\left(2 \, x\right)} + 2\right) - \frac{5 \, \sqrt{2} e^{\left(2 \, x\right)} + \sqrt{2}}{2 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}}}"," ",0,"-1/4*sqrt(2)*log(-4*sqrt(e^(4*x) + e^(2*x)) + 4*e^(2*x) + 2) - 1/2*(5*sqrt(2)*e^(2*x) + sqrt(2))/sqrt(e^(4*x) + e^(2*x))","A",0
132,1,101,0,0.158313," ","integrate(tanh(x)^2/(1+tanh(x))^(3/2),x, algorithm=""giac"")","-\frac{1}{8} \, \sqrt{2} \log\left(-2 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} + 2 \, e^{\left(2 \, x\right)} + 1\right) - \frac{2}{3} \, \sqrt{2} + \frac{\sqrt{2} {\left(6 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{2} + 3 \, \sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - 3 \, e^{\left(2 \, x\right)} - 1\right)}}{12 \, {\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{3}}"," ",0,"-1/8*sqrt(2)*log(-2*sqrt(e^(4*x) + e^(2*x)) + 2*e^(2*x) + 1) - 2/3*sqrt(2) + 1/12*sqrt(2)*(6*(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^2 + 3*sqrt(e^(4*x) + e^(2*x)) - 3*e^(2*x) - 1)/(sqrt(e^(4*x) + e^(2*x)) - e^(2*x))^3","B",0
133,1,142,0,0.141033," ","integrate(tanh(x)^5/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{a^{5} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{2} b^{4} - b^{6}} - \frac{x}{a - b} - \frac{{\left(a^{3} + a b^{2}\right)} \log\left(e^{\left(2 \, x\right)} + 1\right)}{b^{4}} + \frac{2 \, {\left(3 \, a^{2} b + 4 \, b^{3} + 3 \, {\left(a^{2} b - a b^{2} + 2 \, b^{3}\right)} e^{\left(4 \, x\right)} + 3 \, {\left(2 \, a^{2} b - a b^{2} + 2 \, b^{3}\right)} e^{\left(2 \, x\right)}\right)}}{3 \, b^{4} {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}}"," ",0,"a^5*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^2*b^4 - b^6) - x/(a - b) - (a^3 + a*b^2)*log(e^(2*x) + 1)/b^4 + 2/3*(3*a^2*b + 4*b^3 + 3*(a^2*b - a*b^2 + 2*b^3)*e^(4*x) + 3*(2*a^2*b - a*b^2 + 2*b^3)*e^(2*x))/(b^4*(e^(2*x) + 1)^3)","A",0
134,1,98,0,0.121758," ","integrate(tanh(x)^4/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{a^{4} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{2} b^{3} - b^{5}} + \frac{x}{a - b} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(e^{\left(2 \, x\right)} + 1\right)}{b^{3}} - \frac{2 \, {\left(a b + {\left(a b - b^{2}\right)} e^{\left(2 \, x\right)}\right)}}{b^{3} {\left(e^{\left(2 \, x\right)} + 1\right)}^{2}}"," ",0,"-a^4*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^2*b^3 - b^5) + x/(a - b) + (a^2 + b^2)*log(e^(2*x) + 1)/b^3 - 2*(a*b + (a*b - b^2)*e^(2*x))/(b^3*(e^(2*x) + 1)^2)","A",0
135,1,75,0,0.125691," ","integrate(tanh(x)^3/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{a^{3} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{2} b^{2} - b^{4}} - \frac{x}{a - b} - \frac{a \log\left(e^{\left(2 \, x\right)} + 1\right)}{b^{2}} + \frac{2}{b {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"a^3*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^2*b^2 - b^4) - x/(a - b) - a*log(e^(2*x) + 1)/b^2 + 2/(b*(e^(2*x) + 1))","A",0
136,1,58,0,0.142226," ","integrate(tanh(x)^2/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{a^{2} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{2} b - b^{3}} + \frac{x}{a - b} + \frac{\log\left(e^{\left(2 \, x\right)} + 1\right)}{b}"," ",0,"-a^2*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^2*b - b^3) + x/(a - b) + log(e^(2*x) + 1)/b","A",0
137,1,43,0,0.117923," ","integrate(tanh(x)/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{a \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{2} - b^{2}} - \frac{x}{a - b}"," ",0,"a*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^2 - b^2) - x/(a - b)","A",0
138,1,43,0,0.114871," ","integrate(1/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{b \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{2} - b^{2}} + \frac{x}{a - b}"," ",0,"-b*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^2 - b^2) + x/(a - b)","A",0
139,1,58,0,0.111630," ","integrate(coth(x)/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{b^{2} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{3} - a b^{2}} - \frac{x}{a - b} + \frac{\log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)}{a}"," ",0,"b^2*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^3 - a*b^2) - x/(a - b) + log(abs(e^(2*x) - 1))/a","A",0
140,1,75,0,0.118563," ","integrate(coth(x)^2/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{b^{3} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{4} - a^{2} b^{2}} + \frac{x}{a - b} - \frac{b \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)}{a^{2}} - \frac{2}{a {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"-b^3*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^4 - a^2*b^2) + x/(a - b) - b*log(abs(e^(2*x) - 1))/a^2 - 2/(a*(e^(2*x) - 1))","A",0
141,1,97,0,0.119280," ","integrate(coth(x)^3/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{b^{4} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{5} - a^{3} b^{2}} - \frac{x}{a - b} + \frac{{\left(a^{2} + b^{2}\right)} \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)}{a^{3}} - \frac{2 \, {\left(a b + {\left(a^{2} - a b\right)} e^{\left(2 \, x\right)}\right)}}{a^{3} {\left(e^{\left(2 \, x\right)} - 1\right)}^{2}}"," ",0,"b^4*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^5 - a^3*b^2) - x/(a - b) + (a^2 + b^2)*log(abs(e^(2*x) - 1))/a^3 - 2*(a*b + (a^2 - a*b)*e^(2*x))/(a^3*(e^(2*x) - 1)^2)","A",0
142,1,142,0,0.137411," ","integrate(coth(x)^4/(a+b*tanh(x)),x, algorithm=""giac"")","-\frac{b^{5} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a^{6} - a^{4} b^{2}} + \frac{x}{a - b} - \frac{{\left(a^{2} b + b^{3}\right)} \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)}{a^{4}} - \frac{2 \, {\left(4 \, a^{3} + 3 \, a b^{2} + 3 \, {\left(2 \, a^{3} - a^{2} b + a b^{2}\right)} e^{\left(4 \, x\right)} - 3 \, {\left(2 \, a^{3} - a^{2} b + 2 \, a b^{2}\right)} e^{\left(2 \, x\right)}\right)}}{3 \, a^{4} {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"-b^5*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^6 - a^4*b^2) + x/(a - b) - (a^2*b + b^3)*log(abs(e^(2*x) - 1))/a^4 - 2/3*(4*a^3 + 3*a*b^2 + 3*(2*a^3 - a^2*b + a*b^2)*e^(4*x) - 3*(2*a^3 - a^2*b + 2*a*b^2)*e^(2*x))/(a^4*(e^(2*x) - 1)^3)","A",0
143,1,174,0,0.132744," ","integrate(x*sech(x)^2/(a+b*tanh(x))^2,x, algorithm=""giac"")","\frac{2 \, a x e^{\left(2 \, x\right)} + 2 \, b x e^{\left(2 \, x\right)} - a e^{\left(2 \, x\right)} \log\left(-a e^{\left(2 \, x\right)} - b e^{\left(2 \, x\right)} - a + b\right) - b e^{\left(2 \, x\right)} \log\left(-a e^{\left(2 \, x\right)} - b e^{\left(2 \, x\right)} - a + b\right) - a \log\left(-a e^{\left(2 \, x\right)} - b e^{\left(2 \, x\right)} - a + b\right) + b \log\left(-a e^{\left(2 \, x\right)} - b e^{\left(2 \, x\right)} - a + b\right)}{a^{3} e^{\left(2 \, x\right)} + a^{2} b e^{\left(2 \, x\right)} - a b^{2} e^{\left(2 \, x\right)} - b^{3} e^{\left(2 \, x\right)} + a^{3} - a^{2} b - a b^{2} + b^{3}}"," ",0,"(2*a*x*e^(2*x) + 2*b*x*e^(2*x) - a*e^(2*x)*log(-a*e^(2*x) - b*e^(2*x) - a + b) - b*e^(2*x)*log(-a*e^(2*x) - b*e^(2*x) - a + b) - a*log(-a*e^(2*x) - b*e^(2*x) - a + b) + b*log(-a*e^(2*x) - b*e^(2*x) - a + b))/(a^3*e^(2*x) + a^2*b*e^(2*x) - a*b^2*e^(2*x) - b^3*e^(2*x) + a^3 - a^2*b - a*b^2 + b^3)","B",0
144,0,0,0,0.000000," ","integrate(x*sech(d*x+c)^2/(a+b*tanh(d*x+c)^2),x, algorithm=""giac"")","\int \frac{x \operatorname{sech}\left(d x + c\right)^{2}}{b \tanh\left(d x + c\right)^{2} + a}\,{d x}"," ",0,"integrate(x*sech(d*x + c)^2/(b*tanh(d*x + c)^2 + a), x)","F",0
145,0,0,0,0.000000," ","integrate(x^2*sech(d*x+c)^2/(a+b*tanh(d*x+c)^2),x, algorithm=""giac"")","\int \frac{x^{2} \operatorname{sech}\left(d x + c\right)^{2}}{b \tanh\left(d x + c\right)^{2} + a}\,{d x}"," ",0,"integrate(x^2*sech(d*x + c)^2/(b*tanh(d*x + c)^2 + a), x)","F",0
146,1,23,0,0.133485," ","integrate(x^3*tanh(a+2*log(x)),x, algorithm=""giac"")","\frac{1}{4} \, x^{4} - \frac{1}{2} \, e^{\left(-2 \, a\right)} \log\left(x^{4} e^{\left(2 \, a\right)} + 1\right)"," ",0,"1/4*x^4 - 1/2*e^(-2*a)*log(x^4*e^(2*a) + 1)","A",0
147,1,123,0,0.136550," ","integrate(x^2*tanh(a+2*log(x)),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} - \frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} + 2 \, x\right)} e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{3}{2} \, a\right)} - \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} - 2 \, x\right)} e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{3}{2} \, a\right)} + \frac{1}{4} \, \sqrt{2} e^{\left(-\frac{3}{2} \, a\right)} \log\left(\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) - \frac{1}{4} \, \sqrt{2} e^{\left(-\frac{3}{2} \, a\right)} \log\left(-\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right)"," ",0,"1/3*x^3 - 1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*e^(-1/2*a) + 2*x)*e^(1/2*a))*e^(-3/2*a) - 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*e^(-1/2*a) - 2*x)*e^(1/2*a))*e^(-3/2*a) + 1/4*sqrt(2)*e^(-3/2*a)*log(sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) - 1/4*sqrt(2)*e^(-3/2*a)*log(-sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a))","A",0
148,1,19,0,0.139257," ","integrate(x*tanh(a+2*log(x)),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} - \arctan\left(x^{2} e^{a}\right) e^{\left(-a\right)}"," ",0,"1/2*x^2 - arctan(x^2*e^a)*e^(-a)","A",0
149,1,119,0,0.121159," ","integrate(tanh(a+2*log(x)),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} + 2 \, x\right)} e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{1}{2} \, a\right)} - \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} - 2 \, x\right)} e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{1}{2} \, a\right)} - \frac{1}{4} \, \sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} \log\left(\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) + \frac{1}{4} \, \sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} \log\left(-\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) + x"," ",0,"-1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*e^(-1/2*a) + 2*x)*e^(1/2*a))*e^(-1/2*a) - 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*e^(-1/2*a) - 2*x)*e^(1/2*a))*e^(-1/2*a) - 1/4*sqrt(2)*e^(-1/2*a)*log(sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) + 1/4*sqrt(2)*e^(-1/2*a)*log(-sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) + x","A",0
150,1,20,0,0.139361," ","integrate(tanh(a+2*log(x))/x,x, algorithm=""giac"")","\frac{1}{2} \, \log\left(x^{4} e^{\left(2 \, a\right)} + 1\right) - \frac{1}{4} \, \log\left(x^{4}\right)"," ",0,"1/2*log(x^4*e^(2*a) + 1) - 1/4*log(x^4)","A",0
151,1,121,0,0.134974," ","integrate(tanh(a+2*log(x))/x^2,x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} + 2 \, x\right)} e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(\frac{1}{2} \, a\right)} + \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} - 2 \, x\right)} e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(\frac{1}{2} \, a\right)} - \frac{1}{4} \, \sqrt{2} e^{\left(\frac{1}{2} \, a\right)} \log\left(\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) + \frac{1}{4} \, \sqrt{2} e^{\left(\frac{1}{2} \, a\right)} \log\left(-\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) + \frac{1}{x}"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*e^(-1/2*a) + 2*x)*e^(1/2*a))*e^(1/2*a) + 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*e^(-1/2*a) - 2*x)*e^(1/2*a))*e^(1/2*a) - 1/4*sqrt(2)*e^(1/2*a)*log(sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) + 1/4*sqrt(2)*e^(1/2*a)*log(-sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) + 1/x","A",0
152,1,16,0,0.114630," ","integrate(tanh(a+2*log(x))/x^3,x, algorithm=""giac"")","\arctan\left(x^{2} e^{a}\right) e^{a} + \frac{1}{2 \, x^{2}}"," ",0,"arctan(x^2*e^a)*e^a + 1/2/x^2","A",0
153,1,39,0,0.137687," ","integrate(x^3*tanh(a+2*log(x))^2,x, algorithm=""giac"")","\frac{1}{4} \, x^{4} + \frac{x^{4}}{x^{4} e^{\left(2 \, a\right)} + 1} - e^{\left(-2 \, a\right)} \log\left(x^{4} e^{\left(2 \, a\right)} + 1\right)"," ",0,"1/4*x^4 + x^4/(x^4*e^(2*a) + 1) - e^(-2*a)*log(x^4*e^(2*a) + 1)","A",0
154,1,139,0,0.151808," ","integrate(x^2*tanh(a+2*log(x))^2,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} - \frac{3}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} + 2 \, x\right)} e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{3}{2} \, a\right)} - \frac{3}{4} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} - 2 \, x\right)} e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{3}{2} \, a\right)} + \frac{3}{8} \, \sqrt{2} e^{\left(-\frac{3}{2} \, a\right)} \log\left(\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) - \frac{3}{8} \, \sqrt{2} e^{\left(-\frac{3}{2} \, a\right)} \log\left(-\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) + \frac{x^{3}}{x^{4} e^{\left(2 \, a\right)} + 1}"," ",0,"1/3*x^3 - 3/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*e^(-1/2*a) + 2*x)*e^(1/2*a))*e^(-3/2*a) - 3/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*e^(-1/2*a) - 2*x)*e^(1/2*a))*e^(-3/2*a) + 3/8*sqrt(2)*e^(-3/2*a)*log(sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) - 3/8*sqrt(2)*e^(-3/2*a)*log(-sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) + x^3/(x^4*e^(2*a) + 1)","A",0
155,1,35,0,0.121269," ","integrate(x*tanh(a+2*log(x))^2,x, algorithm=""giac"")","\frac{1}{2} \, x^{2} - \arctan\left(x^{2} e^{a}\right) e^{\left(-a\right)} + \frac{x^{2}}{x^{4} e^{\left(2 \, a\right)} + 1}"," ",0,"1/2*x^2 - arctan(x^2*e^a)*e^(-a) + x^2/(x^4*e^(2*a) + 1)","A",0
156,1,133,0,0.146271," ","integrate(tanh(a+2*log(x))^2,x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} + 2 \, x\right)} e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{1}{2} \, a\right)} - \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} - 2 \, x\right)} e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{1}{2} \, a\right)} - \frac{1}{8} \, \sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} \log\left(\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) + \frac{1}{8} \, \sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} \log\left(-\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) + x + \frac{x}{x^{4} e^{\left(2 \, a\right)} + 1}"," ",0,"-1/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*e^(-1/2*a) + 2*x)*e^(1/2*a))*e^(-1/2*a) - 1/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*e^(-1/2*a) - 2*x)*e^(1/2*a))*e^(-1/2*a) - 1/8*sqrt(2)*e^(-1/2*a)*log(sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) + 1/8*sqrt(2)*e^(-1/2*a)*log(-sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) + x + x/(x^4*e^(2*a) + 1)","A",0
157,1,19,0,0.137198," ","integrate(tanh(a+2*log(x))^2/x,x, algorithm=""giac"")","\frac{1}{x^{4} e^{\left(2 \, a\right)} + 1} + \frac{1}{4} \, \log\left(x^{4}\right)"," ",0,"1/(x^4*e^(2*a) + 1) + 1/4*log(x^4)","A",0
158,1,143,0,0.128142," ","integrate(tanh(a+2*log(x))^2/x^2,x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} + 2 \, x\right)} e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(\frac{1}{2} \, a\right)} - \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} e^{\left(-\frac{1}{2} \, a\right)} - 2 \, x\right)} e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(\frac{1}{2} \, a\right)} + \frac{1}{8} \, \sqrt{2} e^{\left(\frac{1}{2} \, a\right)} \log\left(\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) - \frac{1}{8} \, \sqrt{2} e^{\left(\frac{1}{2} \, a\right)} \log\left(-\sqrt{2} x e^{\left(-\frac{1}{2} \, a\right)} + x^{2} + e^{\left(-a\right)}\right) - \frac{2 \, x^{4} e^{\left(2 \, a\right)} + 1}{x^{5} e^{\left(2 \, a\right)} + x}"," ",0,"-1/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*e^(-1/2*a) + 2*x)*e^(1/2*a))*e^(1/2*a) - 1/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*e^(-1/2*a) - 2*x)*e^(1/2*a))*e^(1/2*a) + 1/8*sqrt(2)*e^(1/2*a)*log(sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) - 1/8*sqrt(2)*e^(1/2*a)*log(-sqrt(2)*x*e^(-1/2*a) + x^2 + e^(-a)) - (2*x^4*e^(2*a) + 1)/(x^5*e^(2*a) + x)","A",0
159,1,39,0,0.121560," ","integrate(tanh(a+2*log(x))^2/x^3,x, algorithm=""giac"")","-\arctan\left(x^{2} e^{a}\right) e^{a} - \frac{3 \, x^{4} e^{\left(2 \, a\right)} + 1}{2 \, {\left(x^{6} e^{\left(2 \, a\right)} + x^{2}\right)}}"," ",0,"-arctan(x^2*e^a)*e^a - 1/2*(3*x^4*e^(2*a) + 1)/(x^6*e^(2*a) + x^2)","A",0
160,0,0,0,0.000000," ","integrate((e*x)^m*tanh(a+2*log(x)),x, algorithm=""giac"")","\int \left(e x\right)^{m} \tanh\left(a + 2 \, \log\left(x\right)\right)\,{d x}"," ",0,"integrate((e*x)^m*tanh(a + 2*log(x)), x)","F",0
161,0,0,0,0.000000," ","integrate((e*x)^m*tanh(a+2*log(x))^2,x, algorithm=""giac"")","\int \left(e x\right)^{m} \tanh\left(a + 2 \, \log\left(x\right)\right)^{2}\,{d x}"," ",0,"integrate((e*x)^m*tanh(a + 2*log(x))^2, x)","F",0
162,0,0,0,0.000000," ","integrate((e*x)^m*tanh(a+2*log(x))^3,x, algorithm=""giac"")","\int \left(e x\right)^{m} \tanh\left(a + 2 \, \log\left(x\right)\right)^{3}\,{d x}"," ",0,"integrate((e*x)^m*tanh(a + 2*log(x))^3, x)","F",0
163,0,0,0,0.000000," ","integrate(tanh(a+b*log(x))^p,x, algorithm=""giac"")","\int \tanh\left(b \log\left(x\right) + a\right)^{p}\,{d x}"," ",0,"integrate(tanh(b*log(x) + a)^p, x)","F",0
164,0,0,0,0.000000," ","integrate((e*x)^m*tanh(a+b*log(x))^p,x, algorithm=""giac"")","\int \left(e x\right)^{m} \tanh\left(b \log\left(x\right) + a\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*tanh(b*log(x) + a)^p, x)","F",0
165,0,0,0,0.000000," ","integrate(tanh(a+1/2*log(x))^p,x, algorithm=""giac"")","\int \tanh\left(a + \frac{1}{2} \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(tanh(a + 1/2*log(x))^p, x)","F",0
166,0,0,0,0.000000," ","integrate(tanh(a+1/4*log(x))^p,x, algorithm=""giac"")","\int \tanh\left(a + \frac{1}{4} \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(tanh(a + 1/4*log(x))^p, x)","F",0
167,0,0,0,0.000000," ","integrate(tanh(a+1/6*log(x))^p,x, algorithm=""giac"")","\int \tanh\left(a + \frac{1}{6} \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(tanh(a + 1/6*log(x))^p, x)","F",0
168,0,0,0,0.000000," ","integrate(tanh(a+1/8*log(x))^p,x, algorithm=""giac"")","\int \tanh\left(a + \frac{1}{8} \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(tanh(a + 1/8*log(x))^p, x)","F",0
169,0,0,0,0.000000," ","integrate(tanh(a+log(x))^p,x, algorithm=""giac"")","\int \tanh\left(a + \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(tanh(a + log(x))^p, x)","F",0
170,0,0,0,0.000000," ","integrate(tanh(a+2*log(x))^p,x, algorithm=""giac"")","\int \tanh\left(a + 2 \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(tanh(a + 2*log(x))^p, x)","F",0
171,0,0,0,0.000000," ","integrate(tanh(a+3*log(x))^p,x, algorithm=""giac"")","\int \tanh\left(a + 3 \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(tanh(a + 3*log(x))^p, x)","F",0
172,0,0,0,0.000000," ","integrate(x^3*tanh(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\int x^{3} \tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(x^3*tanh((b*log(c*x^n) + a)*d), x)","F",0
173,0,0,0,0.000000," ","integrate(x^2*tanh(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\int x^{2} \tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(x^2*tanh((b*log(c*x^n) + a)*d), x)","F",0
174,0,0,0,0.000000," ","integrate(x*tanh(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\int x \tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(x*tanh((b*log(c*x^n) + a)*d), x)","F",0
175,0,0,0,0.000000," ","integrate(tanh(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\int \tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(tanh((b*log(c*x^n) + a)*d), x)","F",0
176,1,74,0,0.289392," ","integrate(tanh(d*(a+b*log(c*x^n)))/x,x, algorithm=""giac"")","\frac{\log\left(\sqrt{2 \, x^{2 \, b d n} {\left| c \right|}^{2 \, b d} \cos\left(\pi b d \mathrm{sgn}\left(c\right) - \pi b d\right) e^{\left(2 \, a d\right)} + x^{4 \, b d n} {\left| c \right|}^{4 \, b d} e^{\left(4 \, a d\right)} + 1}\right)}{b d n} - \log\left(x\right)"," ",0,"log(sqrt(2*x^(2*b*d*n)*abs(c)^(2*b*d)*cos(pi*b*d*sgn(c) - pi*b*d)*e^(2*a*d) + x^(4*b*d*n)*abs(c)^(4*b*d)*e^(4*a*d) + 1))/(b*d*n) - log(x)","B",0
177,0,0,0,0.000000," ","integrate(tanh(d*(a+b*log(c*x^n)))/x^2,x, algorithm=""giac"")","\int \frac{\tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)}{x^{2}}\,{d x}"," ",0,"integrate(tanh((b*log(c*x^n) + a)*d)/x^2, x)","F",0
178,0,0,0,0.000000," ","integrate(tanh(d*(a+b*log(c*x^n)))/x^3,x, algorithm=""giac"")","\int \frac{\tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)}{x^{3}}\,{d x}"," ",0,"integrate(tanh((b*log(c*x^n) + a)*d)/x^3, x)","F",0
179,0,0,0,0.000000," ","integrate(x^3*tanh(d*(a+b*log(c*x^n)))^2,x, algorithm=""giac"")","\int x^{3} \tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}\,{d x}"," ",0,"integrate(x^3*tanh((b*log(c*x^n) + a)*d)^2, x)","F",0
180,0,0,0,0.000000," ","integrate(x^2*tanh(d*(a+b*log(c*x^n)))^2,x, algorithm=""giac"")","\int x^{2} \tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}\,{d x}"," ",0,"integrate(x^2*tanh((b*log(c*x^n) + a)*d)^2, x)","F",0
181,0,0,0,0.000000," ","integrate(x*tanh(d*(a+b*log(c*x^n)))^2,x, algorithm=""giac"")","\int x \tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}\,{d x}"," ",0,"integrate(x*tanh((b*log(c*x^n) + a)*d)^2, x)","F",0
182,0,0,0,0.000000," ","integrate(tanh(d*(a+b*log(c*x^n)))^2,x, algorithm=""giac"")","\int \tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}\,{d x}"," ",0,"integrate(tanh((b*log(c*x^n) + a)*d)^2, x)","F",0
183,1,37,0,0.293643," ","integrate(tanh(d*(a+b*log(c*x^n)))^2/x,x, algorithm=""giac"")","\frac{2}{{\left(c^{2 \, b d} x^{2 \, b d n} e^{\left(2 \, a d\right)} + 1\right)} b d n} + \log\left(x\right)"," ",0,"2/((c^(2*b*d)*x^(2*b*d*n)*e^(2*a*d) + 1)*b*d*n) + log(x)","A",0
184,0,0,0,0.000000," ","integrate(tanh(d*(a+b*log(c*x^n)))^2/x^2,x, algorithm=""giac"")","\int \frac{\tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(tanh((b*log(c*x^n) + a)*d)^2/x^2, x)","F",0
185,0,0,0,0.000000," ","integrate(tanh(d*(a+b*log(c*x^n)))^2/x^3,x, algorithm=""giac"")","\int \frac{\tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}}{x^{3}}\,{d x}"," ",0,"integrate(tanh((b*log(c*x^n) + a)*d)^2/x^3, x)","F",0
186,1,127,0,0.359233," ","integrate(tanh(a+b*log(c*x^n))^3/x,x, algorithm=""giac"")","\frac{\log\left(\sqrt{2 \, x^{2 \, b n} {\left| c \right|}^{2 \, b} \cos\left(\pi b \mathrm{sgn}\left(c\right) - \pi b\right) e^{\left(2 \, a\right)} + x^{4 \, b n} {\left| c \right|}^{4 \, b} e^{\left(4 \, a\right)} + 1}\right)}{b n} - \frac{3 \, c^{4 \, b} x^{4 \, b n} e^{\left(4 \, a\right)} + 2 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 3}{2 \, {\left(c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1\right)}^{2} b n} - \log\left(x\right)"," ",0,"log(sqrt(2*x^(2*b*n)*abs(c)^(2*b)*cos(pi*b*sgn(c) - pi*b)*e^(2*a) + x^(4*b*n)*abs(c)^(4*b)*e^(4*a) + 1))/(b*n) - 1/2*(3*c^(4*b)*x^(4*b*n)*e^(4*a) + 2*c^(2*b)*x^(2*b*n)*e^(2*a) + 3)/((c^(2*b)*x^(2*b*n)*e^(2*a) + 1)^2*b*n) - log(x)","B",0
187,1,67,0,0.341475," ","integrate(tanh(a+b*log(c*x^n))^4/x,x, algorithm=""giac"")","\frac{4 \, {\left(3 \, c^{4 \, b} x^{4 \, b n} e^{\left(4 \, a\right)} + 3 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 2\right)}}{3 \, {\left(c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1\right)}^{3} b n} + \log\left(x\right)"," ",0,"4/3*(3*c^(4*b)*x^(4*b*n)*e^(4*a) + 3*c^(2*b)*x^(2*b*n)*e^(2*a) + 2)/((c^(2*b)*x^(2*b*n)*e^(2*a) + 1)^3*b*n) + log(x)","A",0
188,1,161,0,0.396482," ","integrate(tanh(a+b*log(c*x^n))^5/x,x, algorithm=""giac"")","\frac{\log\left(\sqrt{2 \, x^{2 \, b n} {\left| c \right|}^{2 \, b} \cos\left(\pi b \mathrm{sgn}\left(c\right) - \pi b\right) e^{\left(2 \, a\right)} + x^{4 \, b n} {\left| c \right|}^{4 \, b} e^{\left(4 \, a\right)} + 1}\right)}{b n} - \frac{25 \, c^{8 \, b} x^{8 \, b n} e^{\left(8 \, a\right)} + 52 \, c^{6 \, b} x^{6 \, b n} e^{\left(6 \, a\right)} + 102 \, c^{4 \, b} x^{4 \, b n} e^{\left(4 \, a\right)} + 52 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 25}{12 \, {\left(c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1\right)}^{4} b n} - \log\left(x\right)"," ",0,"log(sqrt(2*x^(2*b*n)*abs(c)^(2*b)*cos(pi*b*sgn(c) - pi*b)*e^(2*a) + x^(4*b*n)*abs(c)^(4*b)*e^(4*a) + 1))/(b*n) - 1/12*(25*c^(8*b)*x^(8*b*n)*e^(8*a) + 52*c^(6*b)*x^(6*b*n)*e^(6*a) + 102*c^(4*b)*x^(4*b*n)*e^(4*a) + 52*c^(2*b)*x^(2*b*n)*e^(2*a) + 25)/((c^(2*b)*x^(2*b*n)*e^(2*a) + 1)^4*b*n) - log(x)","B",0
189,0,0,0,0.000000," ","integrate((e*x)^m*tanh(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\int \left(e x\right)^{m} \tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate((e*x)^m*tanh((b*log(c*x^n) + a)*d), x)","F",0
190,0,0,0,0.000000," ","integrate((e*x)^m*tanh(d*(a+b*log(c*x^n)))^2,x, algorithm=""giac"")","\int \left(e x\right)^{m} \tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}\,{d x}"," ",0,"integrate((e*x)^m*tanh((b*log(c*x^n) + a)*d)^2, x)","F",0
191,0,0,0,0.000000," ","integrate((e*x)^m*tanh(d*(a+b*log(c*x^n)))^3,x, algorithm=""giac"")","\int \left(e x\right)^{m} \tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{3}\,{d x}"," ",0,"integrate((e*x)^m*tanh((b*log(c*x^n) + a)*d)^3, x)","F",0
192,0,0,0,0.000000," ","integrate(tanh(d*(a+b*log(c*x^n)))^p,x, algorithm=""giac"")","\int \tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{p}\,{d x}"," ",0,"integrate(tanh((b*log(c*x^n) + a)*d)^p, x)","F",0
193,0,0,0,0.000000," ","integrate((e*x)^m*tanh(d*(a+b*log(c*x^n)))^p,x, algorithm=""giac"")","\int \left(e x\right)^{m} \tanh\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*tanh((b*log(c*x^n) + a)*d)^p, x)","F",0
194,-1,0,0,0.000000," ","integrate(tanh(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
195,-1,0,0,0.000000," ","integrate(tanh(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
196,-1,0,0,0.000000," ","integrate(tanh(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
197,0,0,0,0.000000," ","integrate(1/x/tanh(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\int \frac{1}{x \sqrt{\tanh\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(x*sqrt(tanh(b*log(c*x^n) + a))), x)","F",0
198,0,0,0,0.000000," ","integrate(1/x/tanh(a+b*log(c*x^n))^(3/2),x, algorithm=""giac"")","\int \frac{1}{x \tanh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x*tanh(b*log(c*x^n) + a)^(3/2)), x)","F",0
199,-2,0,0,0.000000," ","integrate(1/x/tanh(a+b*log(c*x^n))^(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:Unable to check sign: (2/sign(c)/2)>(-2/sign(c)/2)Unable to check sign: (2/sign(c)/2)>(-2/sign(c)/2)Unable to check sign: (2/sign(c)/2)>(-2/sign(c)/2)Unable to check sign: (2/sign(c)/2)>(-2/sign(c)/2)Unable to check sign: (2/sign(c)/2)>(-2/sign(c)/2)Unable to check sign: (2/sign(c)/2)>(-2/sign(c)/2)Error index.cc index_gcd Error: Bad Argument ValueEvaluation time: 2.08Error index.cc index_gcd Error: Bad Argument Value","F(-2)",0
200,0,0,0,0.000000," ","integrate(tanh(x)^5/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x, algorithm=""giac"")","\int \frac{\tanh\left(x\right)^{5}}{\sqrt{c \tanh\left(x\right)^{4} + b \tanh\left(x\right)^{2} + a}}\,{d x}"," ",0,"integrate(tanh(x)^5/sqrt(c*tanh(x)^4 + b*tanh(x)^2 + a), x)","F",0
201,0,0,0,0.000000," ","integrate(tanh(x)^3/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x, algorithm=""giac"")","\int \frac{\tanh\left(x\right)^{3}}{\sqrt{c \tanh\left(x\right)^{4} + b \tanh\left(x\right)^{2} + a}}\,{d x}"," ",0,"integrate(tanh(x)^3/sqrt(c*tanh(x)^4 + b*tanh(x)^2 + a), x)","F",0
202,-1,0,0,0.000000," ","integrate(tanh(x)/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
203,-1,0,0,0.000000," ","integrate(coth(x)/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
204,-1,0,0,0.000000," ","integrate(coth(x)^3/(a+b*tanh(x)^2+c*tanh(x)^4)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
205,0,0,0,0.000000," ","integrate((a+b*tanh(x)^2+c*tanh(x)^4)^(1/2)*tanh(x),x, algorithm=""giac"")","\int \sqrt{c \tanh\left(x\right)^{4} + b \tanh\left(x\right)^{2} + a} \tanh\left(x\right)\,{d x}"," ",0,"integrate(sqrt(c*tanh(x)^4 + b*tanh(x)^2 + a)*tanh(x), x)","F",0
206,1,68,0,0.354121," ","integrate(exp(b*x+a)*tanh(b*x+a)^4,x, algorithm=""giac"")","\frac{\frac{15 \, e^{\left(5 \, b x + 5 \, a\right)} + 16 \, e^{\left(3 \, b x + 3 \, a\right)} + 9 \, e^{\left(b x + a\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{3}} - 9 \, \arctan\left(e^{\left(b x + a\right)}\right) + 3 \, e^{\left(b x + a\right)}}{3 \, b}"," ",0,"1/3*((15*e^(5*b*x + 5*a) + 16*e^(3*b*x + 3*a) + 9*e^(b*x + a))/(e^(2*b*x + 2*a) + 1)^3 - 9*arctan(e^(b*x + a)) + 3*e^(b*x + a))/b","A",0
207,1,52,0,0.649379," ","integrate(exp(b*x+a)*tanh(b*x+a)^3,x, algorithm=""giac"")","\frac{\frac{3 \, e^{\left(3 \, b x + 3 \, a\right)} + e^{\left(b x + a\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{2}} - 3 \, \arctan\left(e^{\left(b x + a\right)}\right) + e^{\left(b x + a\right)}}{b}"," ",0,"((3*e^(3*b*x + 3*a) + e^(b*x + a))/(e^(2*b*x + 2*a) + 1)^2 - 3*arctan(e^(b*x + a)) + e^(b*x + a))/b","A",0
208,1,41,0,0.124018," ","integrate(exp(b*x+a)*tanh(b*x+a)^2,x, algorithm=""giac"")","\frac{\frac{2 \, e^{\left(b x + a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1} - 2 \, \arctan\left(e^{\left(b x + a\right)}\right) + e^{\left(b x + a\right)}}{b}"," ",0,"(2*e^(b*x + a)/(e^(2*b*x + 2*a) + 1) - 2*arctan(e^(b*x + a)) + e^(b*x + a))/b","A",0
209,1,23,0,0.133231," ","integrate(exp(b*x+a)*tanh(b*x+a),x, algorithm=""giac"")","-\frac{2 \, \arctan\left(e^{\left(b x + a\right)}\right) - e^{\left(b x + a\right)}}{b}"," ",0,"-(2*arctan(e^(b*x + a)) - e^(b*x + a))/b","A",0
210,1,32,0,0.115767," ","integrate(exp(b*x+a)*coth(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(b x + a\right)} - \log\left(e^{\left(b x + a\right)} + 1\right) + \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{b}"," ",0,"(e^(b*x + a) - log(e^(b*x + a) + 1) + log(abs(e^(b*x + a) - 1)))/b","A",0
211,1,56,0,0.120856," ","integrate(exp(b*x+a)*coth(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{2 \, e^{\left(b x + a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} - 1} - e^{\left(b x + a\right)} + \log\left(e^{\left(b x + a\right)} + 1\right) - \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{b}"," ",0,"-(2*e^(b*x + a)/(e^(2*b*x + 2*a) - 1) - e^(b*x + a) + log(e^(b*x + a) + 1) - log(abs(e^(b*x + a) - 1)))/b","A",0
212,1,72,0,0.130165," ","integrate(exp(b*x+a)*coth(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(3 \, e^{\left(3 \, b x + 3 \, a\right)} - e^{\left(b x + a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}} - 2 \, e^{\left(b x + a\right)} + 3 \, \log\left(e^{\left(b x + a\right)} + 1\right) - 3 \, \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{2 \, b}"," ",0,"-1/2*(2*(3*e^(3*b*x + 3*a) - e^(b*x + a))/(e^(2*b*x + 2*a) - 1)^2 - 2*e^(b*x + a) + 3*log(e^(b*x + a) + 1) - 3*log(abs(e^(b*x + a) - 1)))/b","A",0
213,1,83,0,0.137970," ","integrate(exp(b*x+a)*coth(b*x+a)^4,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(15 \, e^{\left(5 \, b x + 5 \, a\right)} - 16 \, e^{\left(3 \, b x + 3 \, a\right)} + 9 \, e^{\left(b x + a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{3}} - 6 \, e^{\left(b x + a\right)} + 9 \, \log\left(e^{\left(b x + a\right)} + 1\right) - 9 \, \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{6 \, b}"," ",0,"-1/6*(2*(15*e^(5*b*x + 5*a) - 16*e^(3*b*x + 3*a) + 9*e^(b*x + a))/(e^(2*b*x + 2*a) - 1)^3 - 6*e^(b*x + a) + 9*log(e^(b*x + a) + 1) - 9*log(abs(e^(b*x + a) - 1)))/b","A",0
214,1,89,0,0.131818," ","integrate(exp(x)*tanh(2*x)^2,x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) - \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right) - \frac{1}{8} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{8} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{e^{x}}{e^{\left(4 \, x\right)} + 1} + e^{x}"," ",0,"-1/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) - 1/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x)) - 1/8*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) + 1/8*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1) + e^x/(e^(4*x) + 1) + e^x","A",0
215,1,78,0,0.110919," ","integrate(exp(x)*tanh(2*x),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right) - \frac{1}{4} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{4} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + e^{x}"," ",0,"-1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) - 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x)) - 1/4*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) + 1/4*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1) + e^x","A",0
216,1,23,0,0.134423," ","integrate(exp(x)*coth(2*x),x, algorithm=""giac"")","-\arctan\left(e^{x}\right) + e^{x} - \frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-arctan(e^x) + e^x - 1/2*log(e^x + 1) + 1/2*log(abs(e^x - 1))","A",0
217,1,35,0,0.116280," ","integrate(exp(x)*coth(2*x)^2,x, algorithm=""giac"")","-\frac{e^{x}}{e^{\left(4 \, x\right)} - 1} - \frac{1}{2} \, \arctan\left(e^{x}\right) + e^{x} - \frac{1}{4} \, \log\left(e^{x} + 1\right) + \frac{1}{4} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-e^x/(e^(4*x) - 1) - 1/2*arctan(e^x) + e^x - 1/4*log(e^x + 1) + 1/4*log(abs(e^x - 1))","A",0
218,1,81,0,0.115445," ","integrate(exp(x)*tanh(3*x)^2,x, algorithm=""giac"")","-\frac{1}{18} \, \sqrt{3} \log\left(\sqrt{3} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{18} \, \sqrt{3} \log\left(-\sqrt{3} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{2 \, e^{x}}{3 \, {\left(e^{\left(6 \, x\right)} + 1\right)}} - \frac{1}{9} \, \arctan\left(\sqrt{3} + 2 \, e^{x}\right) - \frac{1}{9} \, \arctan\left(-\sqrt{3} + 2 \, e^{x}\right) - \frac{2}{9} \, \arctan\left(e^{x}\right) + e^{x}"," ",0,"-1/18*sqrt(3)*log(sqrt(3)*e^x + e^(2*x) + 1) + 1/18*sqrt(3)*log(-sqrt(3)*e^x + e^(2*x) + 1) + 2/3*e^x/(e^(6*x) + 1) - 1/9*arctan(sqrt(3) + 2*e^x) - 1/9*arctan(-sqrt(3) + 2*e^x) - 2/9*arctan(e^x) + e^x","A",0
219,1,69,0,0.113072," ","integrate(exp(x)*tanh(3*x),x, algorithm=""giac"")","-\frac{1}{6} \, \sqrt{3} \log\left(\sqrt{3} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{6} \, \sqrt{3} \log\left(-\sqrt{3} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{3} \, \arctan\left(\sqrt{3} + 2 \, e^{x}\right) - \frac{1}{3} \, \arctan\left(-\sqrt{3} + 2 \, e^{x}\right) - \frac{2}{3} \, \arctan\left(e^{x}\right) + e^{x}"," ",0,"-1/6*sqrt(3)*log(sqrt(3)*e^x + e^(2*x) + 1) + 1/6*sqrt(3)*log(-sqrt(3)*e^x + e^(2*x) + 1) - 1/3*arctan(sqrt(3) + 2*e^x) - 1/3*arctan(-sqrt(3) + 2*e^x) - 2/3*arctan(e^x) + e^x","A",0
220,1,76,0,0.133573," ","integrate(exp(x)*coth(3*x),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{x} + 1\right)}\right) - \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{x} - 1\right)}\right) + e^{x} - \frac{1}{6} \, \log\left(e^{\left(2 \, x\right)} + e^{x} + 1\right) + \frac{1}{6} \, \log\left(e^{\left(2 \, x\right)} - e^{x} + 1\right) - \frac{1}{3} \, \log\left(e^{x} + 1\right) + \frac{1}{3} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*e^x + 1)) - 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*e^x - 1)) + e^x - 1/6*log(e^(2*x) + e^x + 1) + 1/6*log(e^(2*x) - e^x + 1) - 1/3*log(e^x + 1) + 1/3*log(abs(e^x - 1))","A",0
221,1,88,0,0.133672," ","integrate(exp(x)*coth(3*x)^2,x, algorithm=""giac"")","-\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{x} + 1\right)}\right) - \frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{x} - 1\right)}\right) - \frac{2 \, e^{x}}{3 \, {\left(e^{\left(6 \, x\right)} - 1\right)}} + e^{x} - \frac{1}{18} \, \log\left(e^{\left(2 \, x\right)} + e^{x} + 1\right) + \frac{1}{18} \, \log\left(e^{\left(2 \, x\right)} - e^{x} + 1\right) - \frac{1}{9} \, \log\left(e^{x} + 1\right) + \frac{1}{9} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*e^x + 1)) - 1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*e^x - 1)) - 2/3*e^x/(e^(6*x) - 1) + e^x - 1/18*log(e^(2*x) + e^x + 1) + 1/18*log(e^(2*x) - e^x + 1) - 1/9*log(e^x + 1) + 1/9*log(abs(e^x - 1))","A",0
222,1,263,0,0.136883," ","integrate(exp(x)*tanh(4*x)^2,x, algorithm=""giac"")","-\frac{1}{16} \, \sqrt{-\sqrt{2} + 2} \arctan\left(\frac{\sqrt{\sqrt{2} + 2} + 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{16} \, \sqrt{-\sqrt{2} + 2} \arctan\left(-\frac{\sqrt{\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{16} \, \sqrt{\sqrt{2} + 2} \arctan\left(\frac{\sqrt{-\sqrt{2} + 2} + 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) - \frac{1}{16} \, \sqrt{\sqrt{2} + 2} \arctan\left(-\frac{\sqrt{-\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) - \frac{1}{32} \, \sqrt{\sqrt{2} + 2} \log\left(\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{32} \, \sqrt{\sqrt{2} + 2} \log\left(-\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{32} \, \sqrt{-\sqrt{2} + 2} \log\left(\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{32} \, \sqrt{-\sqrt{2} + 2} \log\left(-\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{e^{x}}{2 \, {\left(e^{\left(8 \, x\right)} + 1\right)}} + e^{x}"," ",0,"-1/16*sqrt(-sqrt(2) + 2)*arctan((sqrt(sqrt(2) + 2) + 2*e^x)/sqrt(-sqrt(2) + 2)) - 1/16*sqrt(-sqrt(2) + 2)*arctan(-(sqrt(sqrt(2) + 2) - 2*e^x)/sqrt(-sqrt(2) + 2)) - 1/16*sqrt(sqrt(2) + 2)*arctan((sqrt(-sqrt(2) + 2) + 2*e^x)/sqrt(sqrt(2) + 2)) - 1/16*sqrt(sqrt(2) + 2)*arctan(-(sqrt(-sqrt(2) + 2) - 2*e^x)/sqrt(sqrt(2) + 2)) - 1/32*sqrt(sqrt(2) + 2)*log(sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + 1/32*sqrt(sqrt(2) + 2)*log(-sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) - 1/32*sqrt(-sqrt(2) + 2)*log(sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) + 1/32*sqrt(-sqrt(2) + 2)*log(-sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) + 1/2*e^x/(e^(8*x) + 1) + e^x","A",0
223,1,251,0,0.152088," ","integrate(exp(x)*tanh(4*x),x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{-\sqrt{2} + 2} \arctan\left(\frac{\sqrt{\sqrt{2} + 2} + 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{4} \, \sqrt{-\sqrt{2} + 2} \arctan\left(-\frac{\sqrt{\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{4} \, \sqrt{\sqrt{2} + 2} \arctan\left(\frac{\sqrt{-\sqrt{2} + 2} + 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) - \frac{1}{4} \, \sqrt{\sqrt{2} + 2} \arctan\left(-\frac{\sqrt{-\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) - \frac{1}{8} \, \sqrt{\sqrt{2} + 2} \log\left(\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{8} \, \sqrt{\sqrt{2} + 2} \log\left(-\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \log\left(\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \log\left(-\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + e^{x}"," ",0,"-1/4*sqrt(-sqrt(2) + 2)*arctan((sqrt(sqrt(2) + 2) + 2*e^x)/sqrt(-sqrt(2) + 2)) - 1/4*sqrt(-sqrt(2) + 2)*arctan(-(sqrt(sqrt(2) + 2) - 2*e^x)/sqrt(-sqrt(2) + 2)) - 1/4*sqrt(sqrt(2) + 2)*arctan((sqrt(-sqrt(2) + 2) + 2*e^x)/sqrt(sqrt(2) + 2)) - 1/4*sqrt(sqrt(2) + 2)*arctan(-(sqrt(-sqrt(2) + 2) - 2*e^x)/sqrt(sqrt(2) + 2)) - 1/8*sqrt(sqrt(2) + 2)*log(sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + 1/8*sqrt(sqrt(2) + 2)*log(-sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) - 1/8*sqrt(-sqrt(2) + 2)*log(sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) + 1/8*sqrt(-sqrt(2) + 2)*log(-sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) + e^x","A",0
224,1,98,0,0.123064," ","integrate(exp(x)*coth(4*x),x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) - \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right) - \frac{1}{8} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{8} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{2} \, \arctan\left(e^{x}\right) + e^{x} - \frac{1}{4} \, \log\left(e^{x} + 1\right) + \frac{1}{4} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) - 1/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x)) - 1/8*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) + 1/8*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1) - 1/2*arctan(e^x) + e^x - 1/4*log(e^x + 1) + 1/4*log(abs(e^x - 1))","A",0
225,1,110,0,0.136793," ","integrate(exp(x)*coth(4*x)^2,x, algorithm=""giac"")","-\frac{1}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) - \frac{1}{16} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right) - \frac{1}{32} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{32} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{e^{x}}{2 \, {\left(e^{\left(8 \, x\right)} - 1\right)}} - \frac{1}{8} \, \arctan\left(e^{x}\right) + e^{x} - \frac{1}{16} \, \log\left(e^{x} + 1\right) + \frac{1}{16} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/16*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) - 1/16*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x)) - 1/32*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) + 1/32*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1) - 1/2*e^x/(e^(8*x) - 1) - 1/8*arctan(e^x) + e^x - 1/16*log(e^x + 1) + 1/16*log(abs(e^x - 1))","A",0
226,1,328,0,0.124715," ","integrate(exp(x)/(a-tanh(2*x)),x, algorithm=""giac"")","-\frac{{\left(a^{4} - 2 \, a^{3} + 2 \, a - 1\right)}^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a + 1}{a - 1}\right)^{\frac{1}{4}} + 2 \, e^{x}\right)}}{2 \, \left(\frac{a + 1}{a - 1}\right)^{\frac{1}{4}}}\right)}{\sqrt{2} a^{3} - \sqrt{2} a^{2} - \sqrt{2} a + \sqrt{2}} - \frac{{\left(a^{4} - 2 \, a^{3} + 2 \, a - 1\right)}^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a + 1}{a - 1}\right)^{\frac{1}{4}} - 2 \, e^{x}\right)}}{2 \, \left(\frac{a + 1}{a - 1}\right)^{\frac{1}{4}}}\right)}{\sqrt{2} a^{3} - \sqrt{2} a^{2} - \sqrt{2} a + \sqrt{2}} - \frac{{\left(a^{4} - 2 \, a^{3} + 2 \, a - 1\right)}^{\frac{1}{4}} \log\left(\sqrt{2} \left(\frac{a + 1}{a - 1}\right)^{\frac{1}{4}} e^{x} + \sqrt{\frac{a + 1}{a - 1}} + e^{\left(2 \, x\right)}\right)}{2 \, {\left(\sqrt{2} a^{3} - \sqrt{2} a^{2} - \sqrt{2} a + \sqrt{2}\right)}} + \frac{{\left(a^{4} - 2 \, a^{3} + 2 \, a - 1\right)}^{\frac{1}{4}} \log\left(-\sqrt{2} \left(\frac{a + 1}{a - 1}\right)^{\frac{1}{4}} e^{x} + \sqrt{\frac{a + 1}{a - 1}} + e^{\left(2 \, x\right)}\right)}{2 \, {\left(\sqrt{2} a^{3} - \sqrt{2} a^{2} - \sqrt{2} a + \sqrt{2}\right)}} + \frac{e^{x}}{a - 1}"," ",0,"-(a^4 - 2*a^3 + 2*a - 1)^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*((a + 1)/(a - 1))^(1/4) + 2*e^x)/((a + 1)/(a - 1))^(1/4))/(sqrt(2)*a^3 - sqrt(2)*a^2 - sqrt(2)*a + sqrt(2)) - (a^4 - 2*a^3 + 2*a - 1)^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*((a + 1)/(a - 1))^(1/4) - 2*e^x)/((a + 1)/(a - 1))^(1/4))/(sqrt(2)*a^3 - sqrt(2)*a^2 - sqrt(2)*a + sqrt(2)) - 1/2*(a^4 - 2*a^3 + 2*a - 1)^(1/4)*log(sqrt(2)*((a + 1)/(a - 1))^(1/4)*e^x + sqrt((a + 1)/(a - 1)) + e^(2*x))/(sqrt(2)*a^3 - sqrt(2)*a^2 - sqrt(2)*a + sqrt(2)) + 1/2*(a^4 - 2*a^3 + 2*a - 1)^(1/4)*log(-sqrt(2)*((a + 1)/(a - 1))^(1/4)*e^x + sqrt((a + 1)/(a - 1)) + e^(2*x))/(sqrt(2)*a^3 - sqrt(2)*a^2 - sqrt(2)*a + sqrt(2)) + e^x/(a - 1)","B",0
227,1,456,0,0.146223," ","integrate(exp(x)/(a-tanh(2*x))^2,x, algorithm=""giac"")","-\frac{{\left(a^{4} - 2 \, a^{3} + 2 \, a - 1\right)}^{\frac{1}{4}} {\left(4 \, a + 1\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a + 1}{a - 1}\right)^{\frac{1}{4}} + 2 \, e^{x}\right)}}{2 \, \left(\frac{a + 1}{a - 1}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} a^{5} - \sqrt{2} a^{4} - 2 \, \sqrt{2} a^{3} + 2 \, \sqrt{2} a^{2} + \sqrt{2} a - \sqrt{2}\right)}} - \frac{{\left(a^{4} - 2 \, a^{3} + 2 \, a - 1\right)}^{\frac{1}{4}} {\left(4 \, a + 1\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{a + 1}{a - 1}\right)^{\frac{1}{4}} - 2 \, e^{x}\right)}}{2 \, \left(\frac{a + 1}{a - 1}\right)^{\frac{1}{4}}}\right)}{2 \, {\left(\sqrt{2} a^{5} - \sqrt{2} a^{4} - 2 \, \sqrt{2} a^{3} + 2 \, \sqrt{2} a^{2} + \sqrt{2} a - \sqrt{2}\right)}} - \frac{{\left(a^{4} - 2 \, a^{3} + 2 \, a - 1\right)}^{\frac{1}{4}} {\left(4 \, a + 1\right)} \log\left(\sqrt{2} \left(\frac{a + 1}{a - 1}\right)^{\frac{1}{4}} e^{x} + \sqrt{\frac{a + 1}{a - 1}} + e^{\left(2 \, x\right)}\right)}{4 \, {\left(\sqrt{2} a^{5} - \sqrt{2} a^{4} - 2 \, \sqrt{2} a^{3} + 2 \, \sqrt{2} a^{2} + \sqrt{2} a - \sqrt{2}\right)}} + \frac{{\left(a^{4} - 2 \, a^{3} + 2 \, a - 1\right)}^{\frac{1}{4}} {\left(4 \, a + 1\right)} \log\left(-\sqrt{2} \left(\frac{a + 1}{a - 1}\right)^{\frac{1}{4}} e^{x} + \sqrt{\frac{a + 1}{a - 1}} + e^{\left(2 \, x\right)}\right)}{4 \, {\left(\sqrt{2} a^{5} - \sqrt{2} a^{4} - 2 \, \sqrt{2} a^{3} + 2 \, \sqrt{2} a^{2} + \sqrt{2} a - \sqrt{2}\right)}} + \frac{e^{x}}{a^{2} - 2 \, a + 1} + \frac{e^{x}}{{\left(a^{3} - a^{2} - a + 1\right)} {\left(a e^{\left(4 \, x\right)} + a - e^{\left(4 \, x\right)} + 1\right)}}"," ",0,"-1/2*(a^4 - 2*a^3 + 2*a - 1)^(1/4)*(4*a + 1)*arctan(1/2*sqrt(2)*(sqrt(2)*((a + 1)/(a - 1))^(1/4) + 2*e^x)/((a + 1)/(a - 1))^(1/4))/(sqrt(2)*a^5 - sqrt(2)*a^4 - 2*sqrt(2)*a^3 + 2*sqrt(2)*a^2 + sqrt(2)*a - sqrt(2)) - 1/2*(a^4 - 2*a^3 + 2*a - 1)^(1/4)*(4*a + 1)*arctan(-1/2*sqrt(2)*(sqrt(2)*((a + 1)/(a - 1))^(1/4) - 2*e^x)/((a + 1)/(a - 1))^(1/4))/(sqrt(2)*a^5 - sqrt(2)*a^4 - 2*sqrt(2)*a^3 + 2*sqrt(2)*a^2 + sqrt(2)*a - sqrt(2)) - 1/4*(a^4 - 2*a^3 + 2*a - 1)^(1/4)*(4*a + 1)*log(sqrt(2)*((a + 1)/(a - 1))^(1/4)*e^x + sqrt((a + 1)/(a - 1)) + e^(2*x))/(sqrt(2)*a^5 - sqrt(2)*a^4 - 2*sqrt(2)*a^3 + 2*sqrt(2)*a^2 + sqrt(2)*a - sqrt(2)) + 1/4*(a^4 - 2*a^3 + 2*a - 1)^(1/4)*(4*a + 1)*log(-sqrt(2)*((a + 1)/(a - 1))^(1/4)*e^x + sqrt((a + 1)/(a - 1)) + e^(2*x))/(sqrt(2)*a^5 - sqrt(2)*a^4 - 2*sqrt(2)*a^3 + 2*sqrt(2)*a^2 + sqrt(2)*a - sqrt(2)) + e^x/(a^2 - 2*a + 1) + e^x/((a^3 - a^2 - a + 1)*(a*e^(4*x) + a - e^(4*x) + 1))","B",0
228,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*tanh(e*x+d)^3,x, algorithm=""giac"")","\int e^{\left({\left(b x + a\right)} c\right)} \tanh\left(e x + d\right)^{3}\,{d x}"," ",0,"integrate(e^((b*x + a)*c)*tanh(e*x + d)^3, x)","F",0
229,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*tanh(e*x+d)^2,x, algorithm=""giac"")","\int e^{\left({\left(b x + a\right)} c\right)} \tanh\left(e x + d\right)^{2}\,{d x}"," ",0,"integrate(e^((b*x + a)*c)*tanh(e*x + d)^2, x)","F",0
230,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*tanh(e*x+d),x, algorithm=""giac"")","\int e^{\left({\left(b x + a\right)} c\right)} \tanh\left(e x + d\right)\,{d x}"," ",0,"integrate(e^((b*x + a)*c)*tanh(e*x + d), x)","F",0
231,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*coth(e*x+d),x, algorithm=""giac"")","\int \coth\left(e x + d\right) e^{\left({\left(b x + a\right)} c\right)}\,{d x}"," ",0,"integrate(coth(e*x + d)*e^((b*x + a)*c), x)","F",0
232,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*coth(e*x+d)^2,x, algorithm=""giac"")","\int \coth\left(e x + d\right)^{2} e^{\left({\left(b x + a\right)} c\right)}\,{d x}"," ",0,"integrate(coth(e*x + d)^2*e^((b*x + a)*c), x)","F",0
233,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))*coth(e*x+d)^3,x, algorithm=""giac"")","\int \coth\left(e x + d\right)^{3} e^{\left({\left(b x + a\right)} c\right)}\,{d x}"," ",0,"integrate(coth(e*x + d)^3*e^((b*x + a)*c), x)","F",0
234,1,184,0,0.205601," ","integrate(exp(c*(b*x+a))*(tanh(b*c*x+a*c)^2)^(5/2),x, algorithm=""giac"")","-\frac{45 \, \arctan\left(e^{\left(b c x + a c\right)}\right) \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - 12 \, e^{\left(b c x + a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - \frac{75 \, e^{\left(7 \, b c x + 7 \, a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) + 115 \, e^{\left(5 \, b c x + 5 \, a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) + 109 \, e^{\left(3 \, b c x + 3 \, a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) + 21 \, e^{\left(b c x + a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)}{{\left(e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}^{4}}}{12 \, b c}"," ",0,"-1/12*(45*arctan(e^(b*c*x + a*c))*sgn(e^(2*b*c*x + 2*a*c) - 1) - 12*e^(b*c*x + a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) - (75*e^(7*b*c*x + 7*a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) + 115*e^(5*b*c*x + 5*a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) + 109*e^(3*b*c*x + 3*a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) + 21*e^(b*c*x + a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1))/(e^(2*b*c*x + 2*a*c) + 1)^4)/(b*c)","A",0
235,1,129,0,0.180033," ","integrate(exp(c*(b*x+a))*(tanh(b*c*x+a*c)^2)^(3/2),x, algorithm=""giac"")","-\frac{3 \, \arctan\left(e^{\left(b c x + a c\right)}\right) \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - e^{\left(b c x + a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - \frac{3 \, e^{\left(3 \, b c x + 3 \, a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) + e^{\left(b c x + a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)}{{\left(e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}^{2}}}{b c}"," ",0,"-(3*arctan(e^(b*c*x + a*c))*sgn(e^(2*b*c*x + 2*a*c) - 1) - e^(b*c*x + a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) - (3*e^(3*b*c*x + 3*a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) + e^(b*c*x + a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1))/(e^(2*b*c*x + 2*a*c) + 1)^2)/(b*c)","A",0
236,1,60,0,0.149094," ","integrate(exp(c*(b*x+a))*(tanh(b*c*x+a*c)^2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \arctan\left(e^{\left(b c x + a c\right)}\right) \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - e^{\left(b c x + a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)}{b c}"," ",0,"-(2*arctan(e^(b*c*x + a*c))*sgn(e^(2*b*c*x + 2*a*c) - 1) - e^(b*c*x + a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1))/(b*c)","A",0
237,1,88,0,0.206989," ","integrate(exp(c*(b*x+a))/(tanh(b*c*x+a*c)^2)^(1/2),x, algorithm=""giac"")","\frac{e^{\left(b c x + a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - \log\left(e^{\left(b c x + a c\right)} + 1\right) \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) + \log\left({\left| e^{\left(b c x + a c\right)} - 1 \right|}\right) \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)}{b c}"," ",0,"(e^(b*c*x + a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) - log(e^(b*c*x + a*c) + 1)*sgn(e^(2*b*c*x + 2*a*c) - 1) + log(abs(e^(b*c*x + a*c) - 1))*sgn(e^(2*b*c*x + 2*a*c) - 1))/(b*c)","A",0
238,1,161,0,0.262573," ","integrate(exp(c*(b*x+a))/(tanh(b*c*x+a*c)^2)^(3/2),x, algorithm=""giac"")","\frac{2 \, e^{\left(b c x + a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - 3 \, \log\left(e^{\left(b c x + a c\right)} + 1\right) \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) + 3 \, \log\left({\left| e^{\left(b c x + a c\right)} - 1 \right|}\right) \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - \frac{2 \, {\left(3 \, e^{\left(3 \, b c x + 3 \, a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - e^{\left(b c x + a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)\right)}}{{\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)}^{2}}}{2 \, b c}"," ",0,"1/2*(2*e^(b*c*x + a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) - 3*log(e^(b*c*x + a*c) + 1)*sgn(e^(2*b*c*x + 2*a*c) - 1) + 3*log(abs(e^(b*c*x + a*c) - 1))*sgn(e^(2*b*c*x + 2*a*c) - 1) - 2*(3*e^(3*b*c*x + 3*a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) - e^(b*c*x + a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1))/(e^(2*b*c*x + 2*a*c) - 1)^2)/(b*c)","A",0
239,1,215,0,0.361405," ","integrate(exp(c*(b*x+a))/(tanh(b*c*x+a*c)^2)^(5/2),x, algorithm=""giac"")","\frac{24 \, e^{\left(b c x + a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - 45 \, \log\left(e^{\left(b c x + a c\right)} + 1\right) \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) + 45 \, \log\left({\left| e^{\left(b c x + a c\right)} - 1 \right|}\right) \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - \frac{2 \, {\left(75 \, e^{\left(7 \, b c x + 7 \, a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - 115 \, e^{\left(5 \, b c x + 5 \, a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) + 109 \, e^{\left(3 \, b c x + 3 \, a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - 21 \, e^{\left(b c x + a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)\right)}}{{\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)}^{4}}}{24 \, b c}"," ",0,"1/24*(24*e^(b*c*x + a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) - 45*log(e^(b*c*x + a*c) + 1)*sgn(e^(2*b*c*x + 2*a*c) - 1) + 45*log(abs(e^(b*c*x + a*c) - 1))*sgn(e^(2*b*c*x + 2*a*c) - 1) - 2*(75*e^(7*b*c*x + 7*a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) - 115*e^(5*b*c*x + 5*a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) + 109*e^(3*b*c*x + 3*a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) - 21*e^(b*c*x + a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1))/(e^(2*b*c*x + 2*a*c) - 1)^4)/(b*c)","A",0
240,0,0,0,0.000000," ","integrate(sin(tanh(b*x+a))^3,x, algorithm=""giac"")","\int \sin\left(\tanh\left(b x + a\right)\right)^{3}\,{d x}"," ",0,"integrate(sin(tanh(b*x + a))^3, x)","F",0
241,0,0,0,0.000000," ","integrate(sin(tanh(b*x+a))^2,x, algorithm=""giac"")","\int \sin\left(\tanh\left(b x + a\right)\right)^{2}\,{d x}"," ",0,"integrate(sin(tanh(b*x + a))^2, x)","F",0
242,0,0,0,0.000000," ","integrate(sin(tanh(b*x+a)),x, algorithm=""giac"")","\int \sin\left(\tanh\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(sin(tanh(b*x + a)), x)","F",0
243,0,0,0,0.000000," ","integrate(csc(tanh(b*x+a)),x, algorithm=""giac"")","\int \csc\left(\tanh\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(csc(tanh(b*x + a)), x)","F",0
244,0,0,0,0.000000," ","integrate(cos(tanh(b*x+a))^3,x, algorithm=""giac"")","\int \cos\left(\tanh\left(b x + a\right)\right)^{3}\,{d x}"," ",0,"integrate(cos(tanh(b*x + a))^3, x)","F",0
245,0,0,0,0.000000," ","integrate(cos(tanh(b*x+a))^2,x, algorithm=""giac"")","\int \cos\left(\tanh\left(b x + a\right)\right)^{2}\,{d x}"," ",0,"integrate(cos(tanh(b*x + a))^2, x)","F",0
246,0,0,0,0.000000," ","integrate(cos(tanh(b*x+a)),x, algorithm=""giac"")","\int \cos\left(\tanh\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(cos(tanh(b*x + a)), x)","F",0
247,0,0,0,0.000000," ","integrate(sec(tanh(b*x+a)),x, algorithm=""giac"")","\int \sec\left(\tanh\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(sec(tanh(b*x + a)), x)","F",0
