1,1,379,0,0.421055," ","integrate((b*coth(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) \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\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) \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\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} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right) - 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}} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right) + 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} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right) - 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}} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right) + 3 \, b^{6} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)\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))*sgn(e^(2*d*x + 2*c) - 1) + 5*b^(7/2)*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b)))*sgn(e^(2*d*x + 2*c) - 1) - 16*(5*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^4*b^4*sgn(e^(2*d*x + 2*c) - 1) - 10*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^3*b^(9/2)*sgn(e^(2*d*x + 2*c) - 1) + 20*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^2*b^5*sgn(e^(2*d*x + 2*c) - 1) - 10*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))*b^(11/2)*sgn(e^(2*d*x + 2*c) - 1) + 3*b^6*sgn(e^(2*d*x + 2*c) - 1))/(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b) - sqrt(b))^5)/d","B",0
2,1,224,0,0.355801," ","integrate((b*coth(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) \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\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) \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\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} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right) + b^{4} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)\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))*sgn(e^(2*d*x + 2*c) - 1) - 3*b^(5/2)*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b)))*sgn(e^(2*d*x + 2*c) - 1) + 8*(3*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^2*b^3*sgn(e^(2*d*x + 2*c) - 1) + b^4*sgn(e^(2*d*x + 2*c) - 1))/(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b) - sqrt(b))^3)/d","B",0
3,1,168,0,0.255057," ","integrate((b*coth(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) \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\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) \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right) - \frac{8 \, b \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}{\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))*sgn(e^(2*d*x + 2*c) - 1) + sqrt(b)*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b)))*sgn(e^(2*d*x + 2*c) - 1) - 8*b*sgn(e^(2*d*x + 2*c) - 1)/(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b) - sqrt(b)))*b/d","B",0
4,1,101,0,0.191064," ","integrate((b*coth(d*x+c))^(1/2),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)\right)} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\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))))*sgn(e^(2*d*x + 2*c) - 1)/d","B",0
5,1,102,0,0.276938," ","integrate(1/(b*coth(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 \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}"," ",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*sgn(e^(2*d*x + 2*c) - 1))","B",0
6,1,196,0,0.584660," ","integrate(1/(b*coth(d*x+c))^(3/2),x, algorithm=""giac"")","\frac{\frac{{\left(\pi + \log\left({\left| b \right|}\right) + 8\right)} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}{\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} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} - \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} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} - \frac{16}{{\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)} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}}{4 \, b d}"," ",0,"1/4*((pi + log(abs(b)) + 8)*sgn(e^(2*d*x + 2*c) - 1)/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)*sgn(e^(2*d*x + 2*c) - 1)) - 2*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b)))/(sqrt(b)*sgn(e^(2*d*x + 2*c) - 1)) - 16/((sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b) + sqrt(b))*sgn(e^(2*d*x + 2*c) - 1)))/(b*d)","B",0
7,1,239,0,0.606509," ","integrate(1/(b*coth(d*x+c))^(5/2),x, algorithm=""giac"")","-\frac{\frac{{\left(3 \, \pi - 3 \, \log\left({\left| b \right|}\right) - 8\right)} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}{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}} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} + \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}} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} + \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} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}}{12 \, d}"," ",0,"-1/12*((3*pi - 3*log(abs(b)) - 8)*sgn(e^(2*d*x + 2*c) - 1)/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)*sgn(e^(2*d*x + 2*c) - 1)) + 6*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b)))/(b^(5/2)*sgn(e^(2*d*x + 2*c) - 1)) + 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*sgn(e^(2*d*x + 2*c) - 1)))/d","B",0
8,1,359,0,0.633631," ","integrate(1/(b*coth(d*x+c))^(7/2),x, algorithm=""giac"")","\frac{\frac{{\left(5 \, \pi + 5 \, \log\left({\left| b \right|}\right) + 48\right)} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}{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}} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} - \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}} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)} - \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} \mathrm{sgn}\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}}{20 \, d}"," ",0,"1/20*((5*pi + 5*log(abs(b)) + 48)*sgn(e^(2*d*x + 2*c) - 1)/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)*sgn(e^(2*d*x + 2*c) - 1)) - 10*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b)))/(b^(7/2)*sgn(e^(2*d*x + 2*c) - 1)) - 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*sgn(e^(2*d*x + 2*c) - 1)))/d","B",0
9,-2,0,0,0.000000," ","integrate((b*coth(d*x+c))^(4/3),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Minimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueUnable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Evaluation time: 1.92Done","F(-2)",0
10,-2,0,0,0.000000," ","integrate((b*coth(d*x+c))^(2/3),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Minimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueUnable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Evaluation time: 1.67Done","F(-2)",0
11,1,217,0,0.370037," ","integrate((b*coth(d*x+c))^(1/3),x, algorithm=""giac"")","-\frac{b {\left(\frac{2 \, \sqrt{3} {\left| b \right|}^{\frac{4}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, \left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + b}{e^{\left(2 \, d x + 2 \, c\right)} - 1}\right)^{\frac{2}{3}} + {\left| b \right|}^{\frac{2}{3}}\right)}}{3 \, {\left| b \right|}^{\frac{2}{3}}}\right)}{b^{2}} - \frac{{\left| b \right|}^{\frac{4}{3}} \log\left(\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + b}{e^{\left(2 \, d x + 2 \, c\right)} - 1}\right)^{\frac{2}{3}} {\left| b \right|}^{\frac{2}{3}} + {\left| b \right|}^{\frac{4}{3}} + \frac{{\left(b e^{\left(2 \, d x + 2 \, c\right)} + b\right)} \left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + b}{e^{\left(2 \, d x + 2 \, c\right)} - 1}\right)^{\frac{1}{3}}}{e^{\left(2 \, d x + 2 \, c\right)} - 1}\right)}{b^{2}} + \frac{2 \, {\left| b \right|}^{\frac{4}{3}} \log\left({\left| \left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + b}{e^{\left(2 \, d x + 2 \, c\right)} - 1}\right)^{\frac{2}{3}} - {\left| b \right|}^{\frac{2}{3}} \right|}\right)}{b^{2}}\right)}}{4 \, d}"," ",0,"-1/4*b*(2*sqrt(3)*abs(b)^(4/3)*arctan(1/3*sqrt(3)*(2*((b*e^(2*d*x + 2*c) + b)/(e^(2*d*x + 2*c) - 1))^(2/3) + abs(b)^(2/3))/abs(b)^(2/3))/b^2 - abs(b)^(4/3)*log(((b*e^(2*d*x + 2*c) + b)/(e^(2*d*x + 2*c) - 1))^(2/3)*abs(b)^(2/3) + abs(b)^(4/3) + (b*e^(2*d*x + 2*c) + b)*((b*e^(2*d*x + 2*c) + b)/(e^(2*d*x + 2*c) - 1))^(1/3)/(e^(2*d*x + 2*c) - 1))/b^2 + 2*abs(b)^(4/3)*log(abs(((b*e^(2*d*x + 2*c) + b)/(e^(2*d*x + 2*c) - 1))^(2/3) - abs(b)^(2/3)))/b^2)/d","B",0
12,1,216,0,0.640990," ","integrate(1/(b*coth(d*x+c))^(1/3),x, algorithm=""giac"")","\frac{b {\left(\frac{2 \, \sqrt{3} {\left| b \right|}^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, \left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + b}{e^{\left(2 \, d x + 2 \, c\right)} - 1}\right)^{\frac{2}{3}} + {\left| b \right|}^{\frac{2}{3}}\right)}}{3 \, {\left| b \right|}^{\frac{2}{3}}}\right)}{b^{2}} + \frac{{\left| b \right|}^{\frac{2}{3}} \log\left(\left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + b}{e^{\left(2 \, d x + 2 \, c\right)} - 1}\right)^{\frac{2}{3}} {\left| b \right|}^{\frac{2}{3}} + {\left| b \right|}^{\frac{4}{3}} + \frac{{\left(b e^{\left(2 \, d x + 2 \, c\right)} + b\right)} \left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + b}{e^{\left(2 \, d x + 2 \, c\right)} - 1}\right)^{\frac{1}{3}}}{e^{\left(2 \, d x + 2 \, c\right)} - 1}\right)}{b^{2}} - \frac{2 \, {\left| b \right|}^{\frac{2}{3}} \log\left({\left| \left(\frac{b e^{\left(2 \, d x + 2 \, c\right)} + b}{e^{\left(2 \, d x + 2 \, c\right)} - 1}\right)^{\frac{2}{3}} - {\left| b \right|}^{\frac{2}{3}} \right|}\right)}{b^{2}}\right)}}{4 \, d}"," ",0,"1/4*b*(2*sqrt(3)*abs(b)^(2/3)*arctan(1/3*sqrt(3)*(2*((b*e^(2*d*x + 2*c) + b)/(e^(2*d*x + 2*c) - 1))^(2/3) + abs(b)^(2/3))/abs(b)^(2/3))/b^2 + abs(b)^(2/3)*log(((b*e^(2*d*x + 2*c) + b)/(e^(2*d*x + 2*c) - 1))^(2/3)*abs(b)^(2/3) + abs(b)^(4/3) + (b*e^(2*d*x + 2*c) + b)*((b*e^(2*d*x + 2*c) + b)/(e^(2*d*x + 2*c) - 1))^(1/3)/(e^(2*d*x + 2*c) - 1))/b^2 - 2*abs(b)^(2/3)*log(abs(((b*e^(2*d*x + 2*c) + b)/(e^(2*d*x + 2*c) - 1))^(2/3) - abs(b)^(2/3)))/b^2)/d","B",0
13,-2,0,0,0.000000," ","integrate(1/(b*coth(d*x+c))^(2/3),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Minimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueUnable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Evaluation time: 1.62Done","F(-2)",0
14,-2,0,0,0.000000," ","integrate(1/(b*coth(d*x+c))^(4/3),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Minimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueMinimal poly. in rootof must be fraction free Error: Bad Argument ValueUnable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Unable to build a single algebraic extension for simplifying.Trying rational simplification only. This might return a wrong answer if simplifying 0/0!Evaluation time: 2.15Done","F(-2)",0
15,-1,0,0,0.000000," ","integrate(coth(b*x+a)^n,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,-1,0,0,0.000000," ","integrate((b*coth(d*x+c))^n,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
17,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^2)^n,x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{2}\right)^{n}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^2)^n, x)","F",0
18,1,90,0,0.180236," ","integrate((b*coth(d*x+c)^2)^(3/2),x, algorithm=""giac"")","-\frac{{\left({\left(d x + c\right)} \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right) - \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right) + \frac{2 \, 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}}\right)} b^{\frac{3}{2}}}{d}"," ",0,"-((d*x + c)*sgn(e^(4*d*x + 4*c) - 1) - log(abs(e^(2*d*x + 2*c) - 1))*sgn(e^(4*d*x + 4*c) - 1) + 2*e^(2*d*x + 2*c)*sgn(e^(4*d*x + 4*c) - 1)/(e^(2*d*x + 2*c) - 1)^2)*b^(3/2)/d","A",0
19,1,54,0,0.121535," ","integrate((b*coth(d*x+c)^2)^(1/2),x, algorithm=""giac"")","-\frac{{\left({\left(d x + c\right)} \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right) - \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)\right)} \sqrt{b}}{d}"," ",0,"-((d*x + c)*sgn(e^(4*d*x + 4*c) - 1) - log(abs(e^(2*d*x + 2*c) - 1))*sgn(e^(4*d*x + 4*c) - 1))*sqrt(b)/d","A",0
20,1,60,0,0.148959," ","integrate(1/(b*coth(d*x+c)^2)^(1/2),x, algorithm=""giac"")","-\frac{\frac{d x + c}{\sqrt{b} \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{\sqrt{b} \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)}}{d}"," ",0,"-((d*x + c)/(sqrt(b)*sgn(e^(4*d*x + 4*c) - 1)) - log(e^(2*d*x + 2*c) + 1)/(sqrt(b)*sgn(e^(4*d*x + 4*c) - 1)))/d","B",0
21,1,104,0,0.731294," ","integrate(1/(b*coth(d*x+c)^2)^(3/2),x, algorithm=""giac"")","-\frac{\frac{d x + c}{\sqrt{b} \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)} - \frac{\log\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{\sqrt{b} \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)} - \frac{2 \, e^{\left(2 \, d x + 2 \, c\right)}}{\sqrt{b} {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{2} \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)}}{b d}"," ",0,"-((d*x + c)/(sqrt(b)*sgn(e^(4*d*x + 4*c) - 1)) - log(e^(2*d*x + 2*c) + 1)/(sqrt(b)*sgn(e^(4*d*x + 4*c) - 1)) - 2*e^(2*d*x + 2*c)/(sqrt(b)*(e^(2*d*x + 2*c) + 1)^2*sgn(e^(4*d*x + 4*c) - 1)))/(b*d)","A",0
22,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^2)^(4/3),x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{2}\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^2)^(4/3), x)","F",0
23,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^2)^(2/3),x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{2}\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^2)^(2/3), x)","F",0
24,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^2)^(1/3),x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{2}\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^2)^(1/3), x)","F",0
25,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^2)^(1/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{2}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^2)^(-1/3), x)","F",0
26,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^2)^(2/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{2}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^2)^(-2/3), x)","F",0
27,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^2)^(4/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{2}\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^2)^(-4/3), x)","F",0
28,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^3)^n,x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{3}\right)^{n}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^3)^n, x)","F",0
29,1,788,0,0.649925," ","integrate((b*coth(d*x+c)^3)^(3/2),x, algorithm=""giac"")","\frac{{\left(42 \, \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) \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right) - 21 \, \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) \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right) + \frac{16 \, {\left(21 \, {\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}\right)}^{6} b \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right) - 42 \, {\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}\right)}^{5} b^{\frac{3}{2}} \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right) + 119 \, {\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^{2} \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right) - 56 \, {\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{5}{2}} \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right) + 63 \, {\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} \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right) - 14 \, {\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{7}{2}} \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right) + 5 \, b^{4} \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)\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)}^{7}}\right)} b}{42 \, d}"," ",0,"1/42*(42*sqrt(b)*arctan(-(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))/sqrt(b))*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1) - 21*sqrt(b)*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b)))*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1) + 16*(21*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^6*b*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1) - 42*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^5*b^(3/2)*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1) + 119*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^4*b^2*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1) - 56*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^3*b^(5/2)*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1) + 63*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^2*b^3*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1) - 14*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))*b^(7/2)*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1) + 5*b^4*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1))/(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b) - sqrt(b))^7)*b/d","B",0
30,1,269,0,0.286268," ","integrate((b*coth(d*x+c)^3)^(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) \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\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) \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right) - \frac{8 \, b \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)}{\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b} - \sqrt{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))*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1) + sqrt(b)*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b)))*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1) - 8*b*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1)/(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b) - sqrt(b)))/d","B",0
31,1,279,0,0.500265," ","integrate(1/(b*coth(d*x+c)^3)^(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} \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)} - \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} \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)} - \frac{8}{{\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)} \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)}}{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)*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1)) - log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b)))/(sqrt(b)*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1)) - 8/((sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b) + sqrt(b))*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1)))/d","B",0
32,1,521,0,2.332500," ","integrate(1/(b*coth(d*x+c)^3)^(3/2),x, algorithm=""giac"")","-\frac{\frac{42 \, \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} \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)} + \frac{21 \, \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} \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)} + \frac{16 \, {\left(21 \, {\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}\right)}^{6} + 42 \, {\left(\sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} - \sqrt{b e^{\left(4 \, d x + 4 \, c\right)} - b}\right)}^{5} \sqrt{b} + 119 \, {\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 + 56 \, {\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{3}{2}} + 63 \, {\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^{2} + 14 \, {\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{5}{2}} + 5 \, b^{3}\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)}^{7} \mathrm{sgn}\left(e^{\left(6 \, d x + 6 \, c\right)} - 3 \, e^{\left(4 \, d x + 4 \, c\right)} + 3 \, e^{\left(2 \, d x + 2 \, c\right)} - 1\right) \mathrm{sgn}\left(e^{\left(4 \, d x + 4 \, c\right)} - 1\right)}}{42 \, b d}"," ",0,"-1/42*(42*arctan(-(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))/sqrt(b))/(sqrt(b)*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1)) + 21*log(abs(-sqrt(b)*e^(2*d*x + 2*c) + sqrt(b*e^(4*d*x + 4*c) - b)))/(sqrt(b)*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1)) + 16*(21*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^6 + 42*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^5*sqrt(b) + 119*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^4*b + 56*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^3*b^(3/2) + 63*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))^2*b^2 + 14*(sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b))*b^(5/2) + 5*b^3)/((sqrt(b)*e^(2*d*x + 2*c) - sqrt(b*e^(4*d*x + 4*c) - b) + sqrt(b))^7*sgn(e^(6*d*x + 6*c) - 3*e^(4*d*x + 4*c) + 3*e^(2*d*x + 2*c) - 1)*sgn(e^(4*d*x + 4*c) - 1)))/(b*d)","B",0
33,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^3)^(4/3),x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{3}\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^3)^(4/3), x)","F",0
34,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^3)^(2/3),x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{3}\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^3)^(2/3), x)","F",0
35,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^3)^(1/3),x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{3}\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^3)^(1/3), x)","F",0
36,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^3)^(1/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{3}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^3)^(-1/3), x)","F",0
37,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^3)^(2/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{3}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^3)^(-2/3), x)","F",0
38,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^3)^(4/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{3}\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^3)^(-4/3), x)","F",0
39,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^4)^n,x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{4}\right)^{n}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^4)^n, x)","F",0
40,1,77,0,0.179235," ","integrate((b*coth(d*x+c)^4)^(3/2),x, algorithm=""giac"")","\frac{{\left(15 \, d x + 15 \, c - \frac{2 \, {\left(45 \, e^{\left(8 \, d x + 8 \, c\right)} - 90 \, e^{\left(6 \, d x + 6 \, c\right)} + 140 \, e^{\left(4 \, d x + 4 \, c\right)} - 70 \, e^{\left(2 \, d x + 2 \, c\right)} + 23\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} - 1\right)}^{5}}\right)} b^{\frac{3}{2}}}{15 \, d}"," ",0,"1/15*(15*d*x + 15*c - 2*(45*e^(8*d*x + 8*c) - 90*e^(6*d*x + 6*c) + 140*e^(4*d*x + 4*c) - 70*e^(2*d*x + 2*c) + 23)/(e^(2*d*x + 2*c) - 1)^5)*b^(3/2)/d","A",0
41,1,27,0,0.155423," ","integrate((b*coth(d*x+c)^4)^(1/2),x, algorithm=""giac"")","\frac{{\left(d x + c - \frac{2}{e^{\left(2 \, d x + 2 \, c\right)} - 1}\right)} \sqrt{b}}{d}"," ",0,"(d*x + c - 2/(e^(2*d*x + 2*c) - 1))*sqrt(b)/d","A",0
42,1,32,0,0.151356," ","integrate(1/(b*coth(d*x+c)^4)^(1/2),x, algorithm=""giac"")","\frac{\frac{d x + c}{\sqrt{b}} + \frac{2}{\sqrt{b} {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}}}{d}"," ",0,"((d*x + c)/sqrt(b) + 2/(sqrt(b)*(e^(2*d*x + 2*c) + 1)))/d","A",0
43,1,99,0,3.384747," ","integrate(1/(b*coth(d*x+c)^4)^(3/2),x, algorithm=""giac"")","\frac{\frac{15 \, {\left(d x + c\right)}}{\sqrt{b}} + \frac{2 \, {\left(45 \, \sqrt{b} e^{\left(8 \, d x + 8 \, c\right)} + 90 \, \sqrt{b} e^{\left(6 \, d x + 6 \, c\right)} + 140 \, \sqrt{b} e^{\left(4 \, d x + 4 \, c\right)} + 70 \, \sqrt{b} e^{\left(2 \, d x + 2 \, c\right)} + 23 \, \sqrt{b}\right)}}{b {\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{5}}}{15 \, b d}"," ",0,"1/15*(15*(d*x + c)/sqrt(b) + 2*(45*sqrt(b)*e^(8*d*x + 8*c) + 90*sqrt(b)*e^(6*d*x + 6*c) + 140*sqrt(b)*e^(4*d*x + 4*c) + 70*sqrt(b)*e^(2*d*x + 2*c) + 23*sqrt(b))/(b*(e^(2*d*x + 2*c) + 1)^5))/(b*d)","A",0
44,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^4)^(4/3),x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{4}\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^4)^(4/3), x)","F",0
45,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^4)^(2/3),x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{4}\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^4)^(2/3), x)","F",0
46,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^4)^(1/3),x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{4}\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^4)^(1/3), x)","F",0
47,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^4)^(1/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{4}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^4)^(-1/3), x)","F",0
48,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^4)^(2/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{4}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^4)^(-2/3), x)","F",0
49,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^4)^(4/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{4}\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^4)^(-4/3), x)","F",0
50,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^m)^n,x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{m}\right)^{n}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^n, x)","F",0
51,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^m)^(3/2),x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{m}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(3/2), x)","F",0
52,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^m)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \coth\left(d x + c\right)^{m}}\,{d x}"," ",0,"integrate(sqrt(b*coth(d*x + c)^m), x)","F",0
53,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^m)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \coth\left(d x + c\right)^{m}}}\,{d x}"," ",0,"integrate(1/sqrt(b*coth(d*x + c)^m), x)","F",0
54,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^m)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{m}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(-3/2), x)","F",0
55,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^m)^(4/3),x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{m}\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(4/3), x)","F",0
56,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^m)^(2/3),x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{m}\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(2/3), x)","F",0
57,0,0,0,0.000000," ","integrate((b*coth(d*x+c)^m)^(1/3),x, algorithm=""giac"")","\int \left(b \coth\left(d x + c\right)^{m}\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(1/3), x)","F",0
58,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^m)^(1/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{m}\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(-1/3), x)","F",0
59,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^m)^(2/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{m}\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(-2/3), x)","F",0
60,0,0,0,0.000000," ","integrate(1/(b*coth(d*x+c)^m)^(4/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \coth\left(d x + c\right)^{m}\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*coth(d*x + c)^m)^(-4/3), x)","F",0
61,1,41,0,0.112138," ","integrate((1+coth(x))^5,x, algorithm=""giac"")","-\frac{4 \, {\left(48 \, e^{\left(6 \, x\right)} - 108 \, e^{\left(4 \, x\right)} + 88 \, e^{\left(2 \, x\right)} - 25\right)}}{3 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{4}} + 16 \, \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"-4/3*(48*e^(6*x) - 108*e^(4*x) + 88*e^(2*x) - 25)/(e^(2*x) - 1)^4 + 16*log(abs(e^(2*x) - 1))","A",0
62,1,35,0,0.109661," ","integrate((1+coth(x))^4,x, algorithm=""giac"")","-\frac{4 \, {\left(18 \, e^{\left(4 \, x\right)} - 27 \, e^{\left(2 \, x\right)} + 11\right)}}{3 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}} + 8 \, \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"-4/3*(18*e^(4*x) - 27*e^(2*x) + 11)/(e^(2*x) - 1)^3 + 8*log(abs(e^(2*x) - 1))","A",0
63,1,29,0,0.111637," ","integrate((1+coth(x))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(4 \, e^{\left(2 \, x\right)} - 3\right)}}{{\left(e^{\left(2 \, x\right)} - 1\right)}^{2}} + 4 \, \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"-2*(4*e^(2*x) - 3)/(e^(2*x) - 1)^2 + 4*log(abs(e^(2*x) - 1))","A",0
64,1,21,0,0.127373," ","integrate((1+coth(x))^2,x, algorithm=""giac"")","-\frac{2}{e^{\left(2 \, x\right)} - 1} + 2 \, \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"-2/(e^(2*x) - 1) + 2*log(abs(e^(2*x) - 1))","A",0
65,1,10,0,0.128471," ","integrate(1/(1+coth(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
66,1,18,0,0.107021," ","integrate(1/(1+coth(x))^2,x, algorithm=""giac"")","\frac{1}{16} \, {\left(4 \, e^{\left(2 \, x\right)} - 1\right)} e^{\left(-4 \, x\right)} + \frac{1}{4} \, x"," ",0,"1/16*(4*e^(2*x) - 1)*e^(-4*x) + 1/4*x","A",0
67,1,24,0,0.131959," ","integrate(1/(1+coth(x))^3,x, algorithm=""giac"")","\frac{1}{96} \, {\left(18 \, e^{\left(4 \, x\right)} - 9 \, e^{\left(2 \, x\right)} + 2\right)} e^{\left(-6 \, x\right)} + \frac{1}{8} \, x"," ",0,"1/96*(18*e^(4*x) - 9*e^(2*x) + 2)*e^(-6*x) + 1/8*x","A",0
68,1,30,0,0.132402," ","integrate(1/(1+coth(x))^4,x, algorithm=""giac"")","\frac{1}{384} \, {\left(48 \, e^{\left(6 \, x\right)} - 36 \, e^{\left(4 \, x\right)} + 16 \, e^{\left(2 \, x\right)} - 3\right)} e^{\left(-8 \, x\right)} + \frac{1}{16} \, x"," ",0,"1/384*(48*e^(6*x) - 36*e^(4*x) + 16*e^(2*x) - 3)*e^(-8*x) + 1/16*x","A",0
69,1,36,0,0.116589," ","integrate(1/(1+coth(x))^5,x, algorithm=""giac"")","\frac{1}{3840} \, {\left(300 \, e^{\left(8 \, x\right)} - 300 \, e^{\left(6 \, x\right)} + 200 \, e^{\left(4 \, x\right)} - 75 \, e^{\left(2 \, x\right)} + 12\right)} e^{\left(-10 \, x\right)} + \frac{1}{32} \, x"," ",0,"1/3840*(300*e^(8*x) - 300*e^(6*x) + 200*e^(4*x) - 75*e^(2*x) + 12)*e^(-10*x) + 1/32*x","A",0
70,1,160,0,0.150315," ","integrate((1+coth(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({\left| 2 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - 2 \, e^{\left(2 \, x\right)} + 1 \right|}\right)\right)} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\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(abs(2*sqrt(e^(4*x) - e^(2*x)) - 2*e^(2*x) + 1)))*sgn(e^(2*x) - 1)","B",0
71,1,112,0,0.149823," ","integrate((1+coth(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({\left| 2 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - 2 \, e^{\left(2 \, x\right)} + 1 \right|}\right)\right)} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\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(abs(2*sqrt(e^(4*x) - e^(2*x)) - 2*e^(2*x) + 1)))*sgn(e^(2*x) - 1)","B",0
72,1,63,0,0.145715," ","integrate((1+coth(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({\left| 2 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - 2 \, e^{\left(2 \, x\right)} + 1 \right|}\right)\right)} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)"," ",0,"-sqrt(2)*(2/(sqrt(e^(4*x) - e^(2*x)) - e^(2*x) + 1) + log(abs(2*sqrt(e^(4*x) - e^(2*x)) - 2*e^(2*x) + 1)))*sgn(e^(2*x) - 1)","B",0
73,1,37,0,0.144922," ","integrate((1+coth(x))^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{2} \log\left({\left| 2 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - 2 \, e^{\left(2 \, x\right)} + 1 \right|}\right) \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)"," ",0,"-1/2*sqrt(2)*log(abs(2*sqrt(e^(4*x) - e^(2*x)) - 2*e^(2*x) + 1))*sgn(e^(2*x) - 1)","B",0
74,1,66,0,0.146457," ","integrate(1/(1+coth(x))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{2}{\sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}} - \log\left({\left| 2 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - 2 \, e^{\left(2 \, x\right)} + 1 \right|}\right)\right)}}{4 \, \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)}"," ",0,"1/4*sqrt(2)*(2/(sqrt(e^(4*x) - e^(2*x)) - e^(2*x)) - log(abs(2*sqrt(e^(4*x) - e^(2*x)) - 2*e^(2*x) + 1)))/sgn(e^(2*x) - 1)","B",0
75,1,131,0,0.161194," ","integrate(1/(1+coth(x))^(3/2),x, algorithm=""giac"")","-\frac{1}{24} \, \sqrt{2} {\left(\frac{3 \, \log\left({\left| 2 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - 2 \, e^{\left(2 \, x\right)} + 1 \right|}\right)}{\mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)} - \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} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)} - 8 \, \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)\right)}"," ",0,"-1/24*sqrt(2)*(3*log(abs(2*sqrt(e^(4*x) - e^(2*x)) - 2*e^(2*x) + 1))/sgn(e^(2*x) - 1) - 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*sgn(e^(2*x) - 1)) - 8*sgn(e^(2*x) - 1))","B",0
76,1,179,0,0.151917," ","integrate(1/(1+coth(x))^(5/2),x, algorithm=""giac"")","-\frac{1}{240} \, \sqrt{2} {\left(\frac{15 \, \log\left({\left| 2 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - 2 \, e^{\left(2 \, x\right)} + 1 \right|}\right)}{\mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)} - \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} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)} - 46 \, \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)\right)}"," ",0,"-1/240*sqrt(2)*(15*log(abs(2*sqrt(e^(4*x) - e^(2*x)) - 2*e^(2*x) + 1))/sgn(e^(2*x) - 1) - 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*sgn(e^(2*x) - 1)) - 46*sgn(e^(2*x) - 1))","B",0
77,1,226,0,0.167424," ","integrate((a+b*coth(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({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\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(abs(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
78,1,153,0,0.143652," ","integrate((a+b*coth(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({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\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(abs(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
79,1,99,0,0.134706," ","integrate((a+b*coth(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({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\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(abs(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
80,1,57,0,0.120802," ","integrate((a+b*coth(d*x+c))^2,x, algorithm=""giac"")","\frac{2 \, a b \log\left({\left| e^{\left(2 \, d x + 2 \, c\right)} - 1 \right|}\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(abs(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
81,1,62,0,0.145397," ","integrate(1/(a+b*coth(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
82,1,130,0,0.133066," ","integrate(1/(a+b*coth(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
83,1,203,0,0.178873," ","integrate(1/(a+b*coth(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
84,1,303,0,0.176152," ","integrate(1/(a+b*coth(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
85,1,29,0,0.139299," ","integrate(1/(4+6*coth(d*x+c)),x, algorithm=""giac"")","-\frac{5 \, d x + 5 \, c - 3 \, \log\left(5 \, e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}{10 \, d}"," ",0,"-1/10*(5*d*x + 5*c - 3*log(5*e^(2*d*x + 2*c) + 1))/d","A",0
86,1,24,0,0.116614," ","integrate(1/(4-6*coth(d*x+c)),x, algorithm=""giac"")","\frac{d x + c - 3 \, \log\left(e^{\left(2 \, d x + 2 \, c\right)} + 5\right)}{10 \, d}"," ",0,"1/10*(d*x + c - 3*log(e^(2*d*x + 2*c) + 5))/d","A",0
87,-2,0,0,0.000000," ","integrate((a+b*coth(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(exp(2*(d*x+c))-1)]Error: Bad Argument Type","F(-2)",0
88,-2,0,0,0.000000," ","integrate(1/(a+b*coth(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:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(exp(2*(d*x+c))-1)]Error: Bad Argument Type","F(-2)",0
89,1,42,0,0.130305," ","integrate(sinh(x)^4/(1+coth(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
90,1,31,0,0.113281," ","integrate(sinh(x)^3/(1+coth(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
91,1,30,0,0.142812," ","integrate(sinh(x)^2/(1+coth(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
92,1,19,0,0.125113," ","integrate(sinh(x)/(1+coth(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
93,1,6,0,0.113735," ","integrate(csch(x)/(1+coth(x)),x, algorithm=""giac"")","-e^{\left(-x\right)}"," ",0,"-e^(-x)","A",0
94,1,12,0,0.128038," ","integrate(csch(x)^2/(1+coth(x)),x, algorithm=""giac"")","-2 \, x + \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"-2*x + log(abs(e^(2*x) - 1))","A",0
95,1,26,0,0.127743," ","integrate(csch(x)^3/(1+coth(x)),x, algorithm=""giac"")","-\frac{2 \, e^{x}}{e^{\left(2 \, x\right)} - 1} + \log\left(e^{x} + 1\right) - \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-2*e^x/(e^(2*x) - 1) + log(e^x + 1) - log(abs(e^x - 1))","B",0
96,1,10,0,0.128823," ","integrate(csch(x)^4/(1+coth(x)),x, algorithm=""giac"")","-\frac{2}{{\left(e^{\left(2 \, x\right)} - 1\right)}^{2}}"," ",0,"-2/(e^(2*x) - 1)^2","A",0
97,1,229,0,0.128682," ","integrate(sinh(x)^4/(a+b*coth(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
98,1,163,0,0.129601," ","integrate(sinh(x)^3/(a+b*coth(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
99,1,114,0,0.118941," ","integrate(sinh(x)^2/(a+b*coth(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
100,1,72,0,0.138790," ","integrate(sinh(x)/(a+b*coth(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)} \sqrt{-a^{2} + b^{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)*sqrt(-a^2 + b^2)) + 1/2*e^(-x)/(a - b) + 1/2*e^x/(a + b)","A",0
101,1,35,0,0.112700," ","integrate(csch(x)/(a+b*coth(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
102,1,46,0,0.113342," ","integrate(csch(x)^2/(a+b*coth(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({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)}{b}"," ",0,"-(a + b)*log(abs(a*e^(2*x) + b*e^(2*x) - a + b))/(a*b + b^2) + log(abs(e^(2*x) - 1))/b","B",0
103,1,85,0,0.120610," ","integrate(csch(x)^3/(a+b*coth(x)),x, algorithm=""giac"")","\frac{a \log\left(e^{x} + 1\right)}{b^{2}} - \frac{a \log\left({\left| e^{x} - 1 \right|}\right)}{b^{2}} + \frac{2 \, {\left(a^{2} - b^{2}\right)} \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} b^{2}} - \frac{2 \, e^{x}}{b {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"a*log(e^x + 1)/b^2 - a*log(abs(e^x - 1))/b^2 + 2*(a^2 - b^2)*arctan((a*e^x + b*e^x)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*b^2) - 2*e^x/(b*(e^(2*x) - 1))","A",0
104,1,106,0,0.117085," ","integrate(csch(x)^4/(a+b*coth(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({\left| e^{\left(2 \, x\right)} - 1 \right|}\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(abs(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
105,1,42,0,0.115619," ","integrate(cosh(x)^4/(1+coth(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
106,1,25,0,0.108848," ","integrate(cosh(x)^3/(1+coth(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
107,1,30,0,0.129209," ","integrate(cosh(x)^2/(1+coth(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
108,1,11,0,0.127938," ","integrate(cosh(x)/(1+coth(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
109,1,10,0,0.114769," ","integrate(sech(x)/(1+coth(x)),x, algorithm=""giac"")","2 \, \arctan\left(e^{x}\right) + e^{\left(-x\right)}"," ",0,"2*arctan(e^x) + e^(-x)","A",0
110,1,27,0,0.109892," ","integrate(sech(x)^2/(1+coth(x)),x, algorithm=""giac"")","-2 \, x - \frac{e^{\left(2 \, x\right)} + 3}{e^{\left(2 \, x\right)} + 1} + \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"-2*x - (e^(2*x) + 3)/(e^(2*x) + 1) + log(e^(2*x) + 1)","A",0
111,1,25,0,0.115605," ","integrate(sech(x)^3/(1+coth(x)),x, algorithm=""giac"")","-\frac{e^{\left(3 \, x\right)} + 3 \, e^{x}}{{\left(e^{\left(2 \, x\right)} + 1\right)}^{2}} - \arctan\left(e^{x}\right)"," ",0,"-(e^(3*x) + 3*e^x)/(e^(2*x) + 1)^2 - arctan(e^x)","A",0
112,1,18,0,0.110533," ","integrate(sech(x)^4/(1+coth(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
113,1,149,0,0.129844," ","integrate(sech(x)^2*(1+coth(x))^(1/2),x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{2} {\left(\sqrt{2} {\left(2 \, \sqrt{2} - \log\left(-\frac{\sqrt{2} - 1}{\sqrt{2} + 1}\right)\right)} + \sqrt{2} \log\left(\frac{{\left(\sqrt{e^{\left(2 \, x\right)} - 1} - e^{x}\right)}^{2} - 2 \, \sqrt{2} + 3}{{\left(\sqrt{e^{\left(2 \, x\right)} - 1} - e^{x}\right)}^{2} + 2 \, \sqrt{2} + 3}\right) - \frac{8 \, {\left(3 \, {\left(\sqrt{e^{\left(2 \, x\right)} - 1} - e^{x}\right)}^{2} + 1\right)}}{{\left(\sqrt{e^{\left(2 \, x\right)} - 1} - e^{x}\right)}^{4} + 6 \, {\left(\sqrt{e^{\left(2 \, x\right)} - 1} - e^{x}\right)}^{2} + 1}\right)} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)"," ",0,"-1/4*sqrt(2)*(sqrt(2)*(2*sqrt(2) - log(-(sqrt(2) - 1)/(sqrt(2) + 1))) + sqrt(2)*log(((sqrt(e^(2*x) - 1) - e^x)^2 - 2*sqrt(2) + 3)/((sqrt(e^(2*x) - 1) - e^x)^2 + 2*sqrt(2) + 3)) - 8*(3*(sqrt(e^(2*x) - 1) - e^x)^2 + 1)/((sqrt(e^(2*x) - 1) - e^x)^4 + 6*(sqrt(e^(2*x) - 1) - e^x)^2 + 1))*sgn(e^(2*x) - 1)","B",0
114,1,216,0,0.119962," ","integrate(cosh(x)^4/(a+b*coth(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
115,1,164,0,0.140908," ","integrate(cosh(x)^3/(a+b*coth(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
116,1,104,0,0.116477," ","integrate(cosh(x)^2/(a+b*coth(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
117,1,71,0,0.119477," ","integrate(cosh(x)/(a+b*coth(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)} \sqrt{-a^{2} + b^{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)*sqrt(-a^2 + b^2)) - 1/2*e^(-x)/(a - b) + 1/2*e^x/(a + b)","A",0
118,1,48,0,0.116891," ","integrate(sech(x)/(a+b*coth(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{2 \, \arctan\left(e^{x}\right)}{a}"," ",0,"-2*b*arctan((a*e^x + b*e^x)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*a) + 2*arctan(e^x)/a","A",0
119,1,76,0,0.133561," ","integrate(sech(x)^2/(a+b*coth(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(e^{\left(2 \, x\right)} + 1\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(e^(2*x) + 1)/a^2 - (b*e^(2*x) + 2*a + b)/(a^2*(e^(2*x) + 1))","B",0
120,1,102,0,0.124170," ","integrate(sech(x)^3/(a+b*coth(x)),x, algorithm=""giac"")","\frac{{\left(a^{2} - 2 \, b^{2}\right)} \arctan\left(e^{x}\right)}{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,"(a^2 - 2*b^2)*arctan(e^x)/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
121,1,201,0,0.126136," ","integrate(sech(x)^4/(a+b*coth(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(e^{\left(2 \, x\right)} + 1\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(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
122,1,26,0,0.127411," ","integrate(sech(x)/(I+2*coth(x)),x, algorithm=""giac"")","\frac{4}{5} i \, \sqrt{5} \arctan\left(\left(\frac{1}{5} i + \frac{2}{5}\right) \, \sqrt{5} e^{x}\right) + \log\left(e^{x} + i\right) - \log\left(e^{x} - i\right)"," ",0,"4/5*I*sqrt(5)*arctan((1/5*I + 2/5)*sqrt(5)*e^x) + log(e^x + I) - log(e^x - I)","A",0
123,1,47,0,0.130831," ","integrate(tanh(x)^4/(1+coth(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
124,1,39,0,0.128264," ","integrate(tanh(x)^3/(1+coth(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
125,1,35,0,0.117209," ","integrate(tanh(x)^2/(1+coth(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
126,1,17,0,0.125507," ","integrate(tanh(x)/(1+coth(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
127,1,10,0,0.126686," ","integrate(1/(1+coth(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
128,1,10,0,0.127042," ","integrate(coth(x)/(1+coth(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
129,1,18,0,0.117286," ","integrate(coth(x)^2/(1+coth(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
130,1,36,0,0.118139," ","integrate(coth(x)^3/(1+coth(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
131,1,40,0,0.134380," ","integrate(coth(x)^4/(1+coth(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
132,1,135,0,0.151389," ","integrate(coth(x)*(1+coth(x))^(3/2),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{2} {\left(3 \, \log\left({\left| 2 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - 2 \, e^{\left(2 \, x\right)} + 1 \right|}\right) \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) + \frac{2 \, {\left(9 \, {\left(\sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{2} \mathrm{sgn}\left(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)} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) + 5 \, \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)\right)}}{{\left(\sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)} + 1\right)}^{3}}\right)}"," ",0,"-1/3*sqrt(2)*(3*log(abs(2*sqrt(e^(4*x) - e^(2*x)) - 2*e^(2*x) + 1))*sgn(e^(2*x) - 1) + 2*(9*(sqrt(e^(4*x) - e^(2*x)) - e^(2*x))^2*sgn(e^(2*x) - 1) + 12*(sqrt(e^(4*x) - e^(2*x)) - e^(2*x))*sgn(e^(2*x) - 1) + 5*sgn(e^(2*x) - 1))/(sqrt(e^(4*x) - e^(2*x)) - e^(2*x) + 1)^3)","B",0
133,1,71,0,0.159361," ","integrate(coth(x)*(1+coth(x))^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{2} {\left(\log\left({\left| 2 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - 2 \, e^{\left(2 \, x\right)} + 1 \right|}\right) \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) + \frac{4 \, \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)}{\sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)} + 1}\right)}"," ",0,"-1/2*sqrt(2)*(log(abs(2*sqrt(e^(4*x) - e^(2*x)) - 2*e^(2*x) + 1))*sgn(e^(2*x) - 1) + 4*sgn(e^(2*x) - 1)/(sqrt(e^(4*x) - e^(2*x)) - e^(2*x) + 1))","B",0
134,1,88,0,0.173102," ","integrate(coth(x)/(1+coth(x))^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{2} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) - \frac{\sqrt{2} \log\left({\left| 2 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - 2 \, e^{\left(2 \, x\right)} + 1 \right|}\right)}{4 \, \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)} - \frac{\sqrt{2}}{2 \, {\left(\sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)}"," ",0,"-1/2*sqrt(2)*sgn(e^(2*x) - 1) - 1/4*sqrt(2)*log(abs(2*sqrt(e^(4*x) - e^(2*x)) - 2*e^(2*x) + 1))/sgn(e^(2*x) - 1) - 1/2*sqrt(2)/((sqrt(e^(4*x) - e^(2*x)) - e^(2*x))*sgn(e^(2*x) - 1))","B",0
135,1,107,0,0.217372," ","integrate(coth(x)/(1+coth(x))^(3/2),x, algorithm=""giac"")","-\frac{1}{24} \, \sqrt{2} {\left(\frac{3 \, \log\left({\left| 2 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - 2 \, e^{\left(2 \, x\right)} + 1 \right|}\right)}{\mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)} + \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} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)} - 4 \, \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)\right)}"," ",0,"-1/24*sqrt(2)*(3*log(abs(2*sqrt(e^(4*x) - e^(2*x)) - 2*e^(2*x) + 1))/sgn(e^(2*x) - 1) + 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*sgn(e^(2*x) - 1)) - 4*sgn(e^(2*x) - 1))","B",0
136,1,197,0,0.173892," ","integrate(coth(x)^2*(1+coth(x))^(3/2),x, algorithm=""giac"")","-\frac{1}{5} \, \sqrt{2} {\left(5 \, \log\left({\left| 2 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - 2 \, e^{\left(2 \, x\right)} + 1 \right|}\right) \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) + \frac{2 \, {\left(25 \, {\left(\sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{4} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) + 60 \, {\left(\sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{3} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) + 70 \, {\left(\sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{2} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) + 40 \, {\left(\sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) + 9 \, \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)\right)}}{{\left(\sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)} + 1\right)}^{5}}\right)}"," ",0,"-1/5*sqrt(2)*(5*log(abs(2*sqrt(e^(4*x) - e^(2*x)) - 2*e^(2*x) + 1))*sgn(e^(2*x) - 1) + 2*(25*(sqrt(e^(4*x) - e^(2*x)) - e^(2*x))^4*sgn(e^(2*x) - 1) + 60*(sqrt(e^(4*x) - e^(2*x)) - e^(2*x))^3*sgn(e^(2*x) - 1) + 70*(sqrt(e^(4*x) - e^(2*x)) - e^(2*x))^2*sgn(e^(2*x) - 1) + 40*(sqrt(e^(4*x) - e^(2*x)) - e^(2*x))*sgn(e^(2*x) - 1) + 9*sgn(e^(2*x) - 1))/(sqrt(e^(4*x) - e^(2*x)) - e^(2*x) + 1)^5)","B",0
137,1,133,0,0.159205," ","integrate(coth(x)^2*(1+coth(x))^(1/2),x, algorithm=""giac"")","-\frac{1}{6} \, \sqrt{2} {\left(3 \, \log\left({\left| 2 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - 2 \, e^{\left(2 \, x\right)} + 1 \right|}\right) \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) + \frac{8 \, {\left(3 \, {\left(\sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)}^{2} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) + 3 \, {\left(\sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)}\right)} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) + \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)\right)}}{{\left(\sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - e^{\left(2 \, x\right)} + 1\right)}^{3}}\right)}"," ",0,"-1/6*sqrt(2)*(3*log(abs(2*sqrt(e^(4*x) - e^(2*x)) - 2*e^(2*x) + 1))*sgn(e^(2*x) - 1) + 8*(3*(sqrt(e^(4*x) - e^(2*x)) - e^(2*x))^2*sgn(e^(2*x) - 1) + 3*(sqrt(e^(4*x) - e^(2*x)) - e^(2*x))*sgn(e^(2*x) - 1) + sgn(e^(2*x) - 1))/(sqrt(e^(4*x) - e^(2*x)) - e^(2*x) + 1)^3)","B",0
138,1,88,0,0.177318," ","integrate(coth(x)^2/(1+coth(x))^(1/2),x, algorithm=""giac"")","-\frac{\frac{5 \, \sqrt{2} e^{\left(2 \, x\right)}}{\mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)} - \frac{\sqrt{2}}{\mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)}}{2 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}}} - \frac{\sqrt{2} \log\left({\left| 4 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - 4 \, e^{\left(2 \, x\right)} + 2 \right|}\right)}{4 \, \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)}"," ",0,"-1/2*(5*sqrt(2)*e^(2*x)/sgn(e^(2*x) - 1) - sqrt(2)/sgn(e^(2*x) - 1))/sqrt(e^(4*x) - e^(2*x)) - 1/4*sqrt(2)*log(abs(4*sqrt(e^(4*x) - e^(2*x)) - 4*e^(2*x) + 2))/sgn(e^(2*x) - 1)","B",0
139,1,135,0,0.186208," ","integrate(coth(x)^2/(1+coth(x))^(3/2),x, algorithm=""giac"")","-\frac{2}{3} \, \sqrt{2} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right) - \frac{\sqrt{2} \log\left({\left| 2 \, \sqrt{e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}} - 2 \, e^{\left(2 \, x\right)} + 1 \right|}\right)}{8 \, \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)} - \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} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)}"," ",0,"-2/3*sqrt(2)*sgn(e^(2*x) - 1) - 1/8*sqrt(2)*log(abs(2*sqrt(e^(4*x) - e^(2*x)) - 2*e^(2*x) + 1))/sgn(e^(2*x) - 1) - 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*sgn(e^(2*x) - 1))","B",0
140,1,141,0,0.142921," ","integrate(tanh(x)^4/(a+b*coth(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(e^{\left(2 \, x\right)} + 1\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(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
141,1,97,0,0.118584," ","integrate(tanh(x)^3/(a+b*coth(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(e^{\left(2 \, x\right)} + 1\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(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
142,1,74,0,0.115651," ","integrate(tanh(x)^2/(a+b*coth(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(e^{\left(2 \, x\right)} + 1\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(e^(2*x) + 1)/a^2 + 2/(a*(e^(2*x) + 1))","A",0
143,1,57,0,0.132791," ","integrate(tanh(x)/(a+b*coth(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(e^{\left(2 \, x\right)} + 1\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(e^(2*x) + 1)/a","A",0
144,1,43,0,0.112188," ","integrate(1/(a+b*coth(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
145,1,43,0,0.111486," ","integrate(coth(x)/(a+b*coth(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
146,1,59,0,0.132643," ","integrate(coth(x)^2/(a+b*coth(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({\left| e^{\left(2 \, x\right)} - 1 \right|}\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(abs(e^(2*x) - 1))/b","A",0
147,1,76,0,0.118205," ","integrate(coth(x)^3/(a+b*coth(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({\left| e^{\left(2 \, x\right)} - 1 \right|}\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(abs(e^(2*x) - 1))/b^2 - 2/(b*(e^(2*x) - 1))","A",0
148,1,100,0,0.139785," ","integrate(coth(x)^4/(a+b*coth(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({\left| e^{\left(2 \, x\right)} - 1 \right|}\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(abs(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
149,1,143,0,0.117817," ","integrate(coth(x)^5/(a+b*coth(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({\left| e^{\left(2 \, x\right)} - 1 \right|}\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(abs(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
150,1,169,0,0.154483," ","integrate(x*csch(x)^2/(a+b*coth(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
151,1,24,0,0.125817," ","integrate(x^3*coth(a+2*log(x)),x, algorithm=""giac"")","\frac{1}{4} \, x^{4} + \frac{1}{2} \, e^{\left(-2 \, a\right)} \log\left({\left| x^{4} e^{\left(2 \, a\right)} - 1 \right|}\right)"," ",0,"1/4*x^4 + 1/2*e^(-2*a)*log(abs(x^4*e^(2*a) - 1))","A",0
152,1,54,0,0.137890," ","integrate(x^2*coth(a+2*log(x)),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} + \arctan\left(x e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{3}{2} \, a\right)} + \frac{1}{2} \, e^{\left(-\frac{3}{2} \, a\right)} \log\left(\frac{{\left| 2 \, x e^{a} - 2 \, e^{\left(\frac{1}{2} \, a\right)} \right|}}{{\left| 2 \, x e^{a} + 2 \, e^{\left(\frac{1}{2} \, a\right)} \right|}}\right)"," ",0,"1/3*x^3 + arctan(x*e^(1/2*a))*e^(-3/2*a) + 1/2*e^(-3/2*a)*log(abs(2*x*e^a - 2*e^(1/2*a))/abs(2*x*e^a + 2*e^(1/2*a)))","A",0
153,1,37,0,0.137868," ","integrate(x*coth(a+2*log(x)),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} - \frac{1}{2} \, e^{\left(-a\right)} \log\left(x^{2} e^{a} + 1\right) + \frac{1}{2} \, e^{\left(-a\right)} \log\left({\left| x^{2} e^{a} - 1 \right|}\right)"," ",0,"1/2*x^2 - 1/2*e^(-a)*log(x^2*e^a + 1) + 1/2*e^(-a)*log(abs(x^2*e^a - 1))","A",0
154,1,51,0,0.137643," ","integrate(coth(a+2*log(x)),x, algorithm=""giac"")","-\arctan\left(x e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{1}{2} \, a\right)} + \frac{1}{2} \, e^{\left(-\frac{1}{2} \, a\right)} \log\left(\frac{{\left| 2 \, x e^{a} - 2 \, e^{\left(\frac{1}{2} \, a\right)} \right|}}{{\left| 2 \, x e^{a} + 2 \, e^{\left(\frac{1}{2} \, a\right)} \right|}}\right) + x"," ",0,"-arctan(x*e^(1/2*a))*e^(-1/2*a) + 1/2*e^(-1/2*a)*log(abs(2*x*e^a - 2*e^(1/2*a))/abs(2*x*e^a + 2*e^(1/2*a))) + x","A",0
155,1,21,0,0.132910," ","integrate(coth(a+2*log(x))/x,x, algorithm=""giac"")","-\frac{1}{4} \, \log\left(x^{4}\right) + \frac{1}{2} \, \log\left({\left| x^{4} e^{\left(2 \, a\right)} - 1 \right|}\right)"," ",0,"-1/4*log(x^4) + 1/2*log(abs(x^4*e^(2*a) - 1))","B",0
156,1,52,0,0.135261," ","integrate(coth(a+2*log(x))/x^2,x, algorithm=""giac"")","\arctan\left(x e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(\frac{1}{2} \, a\right)} + \frac{1}{2} \, e^{\left(\frac{1}{2} \, a\right)} \log\left(\frac{{\left| 2 \, x e^{a} - 2 \, e^{\left(\frac{1}{2} \, a\right)} \right|}}{{\left| 2 \, x e^{a} + 2 \, e^{\left(\frac{1}{2} \, a\right)} \right|}}\right) + \frac{1}{x}"," ",0,"arctan(x*e^(1/2*a))*e^(1/2*a) + 1/2*e^(1/2*a)*log(abs(2*x*e^a - 2*e^(1/2*a))/abs(2*x*e^a + 2*e^(1/2*a))) + 1/x","A",0
157,1,33,0,0.133239," ","integrate(coth(a+2*log(x))/x^3,x, algorithm=""giac"")","-\frac{1}{2} \, e^{a} \log\left(x^{2} e^{a} + 1\right) + \frac{1}{2} \, e^{a} \log\left({\left| x^{2} e^{a} - 1 \right|}\right) + \frac{1}{2 \, x^{2}}"," ",0,"-1/2*e^a*log(x^2*e^a + 1) + 1/2*e^a*log(abs(x^2*e^a - 1)) + 1/2/x^2","A",0
158,1,40,0,0.109094," ","integrate(x^3*coth(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({\left| x^{4} e^{\left(2 \, a\right)} - 1 \right|}\right)"," ",0,"1/4*x^4 - x^4/(x^4*e^(2*a) - 1) + e^(-2*a)*log(abs(x^4*e^(2*a) - 1))","A",0
159,1,72,0,0.112313," ","integrate(x^2*coth(a+2*log(x))^2,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} - \frac{x^{3}}{x^{4} e^{\left(2 \, a\right)} - 1} + \frac{3}{2} \, \arctan\left(x e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{3}{2} \, a\right)} + \frac{3}{4} \, e^{\left(-\frac{3}{2} \, a\right)} \log\left(\frac{{\left| 2 \, x e^{a} - 2 \, e^{\left(\frac{1}{2} \, a\right)} \right|}}{{\left| 2 \, x e^{a} + 2 \, e^{\left(\frac{1}{2} \, a\right)} \right|}}\right)"," ",0,"1/3*x^3 - x^3/(x^4*e^(2*a) - 1) + 3/2*arctan(x*e^(1/2*a))*e^(-3/2*a) + 3/4*e^(-3/2*a)*log(abs(2*x*e^a - 2*e^(1/2*a))/abs(2*x*e^a + 2*e^(1/2*a)))","A",0
160,1,54,0,0.132474," ","integrate(x*coth(a+2*log(x))^2,x, algorithm=""giac"")","\frac{1}{2} \, x^{2} - \frac{1}{2} \, e^{\left(-a\right)} \log\left(x^{2} e^{a} + 1\right) + \frac{1}{2} \, e^{\left(-a\right)} \log\left({\left| x^{2} e^{a} - 1 \right|}\right) - \frac{x^{2}}{x^{4} e^{\left(2 \, a\right)} - 1}"," ",0,"1/2*x^2 - 1/2*e^(-a)*log(x^2*e^a + 1) + 1/2*e^(-a)*log(abs(x^2*e^a - 1)) - x^2/(x^4*e^(2*a) - 1)","A",0
161,1,66,0,0.137986," ","integrate(coth(a+2*log(x))^2,x, algorithm=""giac"")","-\frac{1}{2} \, \arctan\left(x e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(-\frac{1}{2} \, a\right)} + \frac{1}{4} \, e^{\left(-\frac{1}{2} \, a\right)} \log\left(\frac{{\left| 2 \, x e^{a} - 2 \, e^{\left(\frac{1}{2} \, a\right)} \right|}}{{\left| 2 \, x e^{a} + 2 \, e^{\left(\frac{1}{2} \, a\right)} \right|}}\right) + x - \frac{x}{x^{4} e^{\left(2 \, a\right)} - 1}"," ",0,"-1/2*arctan(x*e^(1/2*a))*e^(-1/2*a) + 1/4*e^(-1/2*a)*log(abs(2*x*e^a - 2*e^(1/2*a))/abs(2*x*e^a + 2*e^(1/2*a))) + x - x/(x^4*e^(2*a) - 1)","A",0
162,1,21,0,0.125177," ","integrate(coth(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
163,1,77,0,0.115352," ","integrate(coth(a+2*log(x))^2/x^2,x, algorithm=""giac"")","-\frac{1}{2} \, \arctan\left(x e^{\left(\frac{1}{2} \, a\right)}\right) e^{\left(\frac{1}{2} \, a\right)} - \frac{1}{4} \, e^{\left(\frac{1}{2} \, a\right)} \log\left(\frac{{\left| 2 \, x e^{a} - 2 \, e^{\left(\frac{1}{2} \, a\right)} \right|}}{{\left| 2 \, x e^{a} + 2 \, e^{\left(\frac{1}{2} \, a\right)} \right|}}\right) - \frac{2 \, x^{4} e^{\left(2 \, a\right)} - 1}{x^{5} e^{\left(2 \, a\right)} - x}"," ",0,"-1/2*arctan(x*e^(1/2*a))*e^(1/2*a) - 1/4*e^(1/2*a)*log(abs(2*x*e^a - 2*e^(1/2*a))/abs(2*x*e^a + 2*e^(1/2*a))) - (2*x^4*e^(2*a) - 1)/(x^5*e^(2*a) - x)","A",0
164,1,57,0,0.137792," ","integrate(coth(a+2*log(x))^2/x^3,x, algorithm=""giac"")","\frac{1}{2} \, e^{a} \log\left(x^{2} e^{a} + 1\right) - \frac{1}{2} \, e^{a} \log\left({\left| x^{2} e^{a} - 1 \right|}\right) - \frac{3 \, x^{4} e^{\left(2 \, a\right)} - 1}{2 \, {\left(x^{6} e^{\left(2 \, a\right)} - x^{2}\right)}}"," ",0,"1/2*e^a*log(x^2*e^a + 1) - 1/2*e^a*log(abs(x^2*e^a - 1)) - 1/2*(3*x^4*e^(2*a) - 1)/(x^6*e^(2*a) - x^2)","A",0
165,0,0,0,0.000000," ","integrate((e*x)^m*coth(a+2*log(x)),x, algorithm=""giac"")","\int \left(e x\right)^{m} \coth\left(a + 2 \, \log\left(x\right)\right)\,{d x}"," ",0,"integrate((e*x)^m*coth(a + 2*log(x)), x)","F",0
166,0,0,0,0.000000," ","integrate((e*x)^m*coth(a+2*log(x))^2,x, algorithm=""giac"")","\int \left(e x\right)^{m} \coth\left(a + 2 \, \log\left(x\right)\right)^{2}\,{d x}"," ",0,"integrate((e*x)^m*coth(a + 2*log(x))^2, x)","F",0
167,0,0,0,0.000000," ","integrate((e*x)^m*coth(a+2*log(x))^3,x, algorithm=""giac"")","\int \left(e x\right)^{m} \coth\left(a + 2 \, \log\left(x\right)\right)^{3}\,{d x}"," ",0,"integrate((e*x)^m*coth(a + 2*log(x))^3, x)","F",0
168,0,0,0,0.000000," ","integrate(coth(a+b*log(x))^p,x, algorithm=""giac"")","\int \coth\left(b \log\left(x\right) + a\right)^{p}\,{d x}"," ",0,"integrate(coth(b*log(x) + a)^p, x)","F",0
169,0,0,0,0.000000," ","integrate((e*x)^m*coth(a+b*log(x))^p,x, algorithm=""giac"")","\int \left(e x\right)^{m} \coth\left(b \log\left(x\right) + a\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*coth(b*log(x) + a)^p, x)","F",0
170,0,0,0,0.000000," ","integrate(coth(a+1/2*log(x))^p,x, algorithm=""giac"")","\int \coth\left(a + \frac{1}{2} \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(coth(a + 1/2*log(x))^p, x)","F",0
171,0,0,0,0.000000," ","integrate(coth(a+1/4*log(x))^p,x, algorithm=""giac"")","\int \coth\left(a + \frac{1}{4} \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(coth(a + 1/4*log(x))^p, x)","F",0
172,0,0,0,0.000000," ","integrate(coth(a+1/6*log(x))^p,x, algorithm=""giac"")","\int \coth\left(a + \frac{1}{6} \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(coth(a + 1/6*log(x))^p, x)","F",0
173,0,0,0,0.000000," ","integrate(coth(a+1/8*log(x))^p,x, algorithm=""giac"")","\int \coth\left(a + \frac{1}{8} \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(coth(a + 1/8*log(x))^p, x)","F",0
174,0,0,0,0.000000," ","integrate(coth(a+log(x))^p,x, algorithm=""giac"")","\int \coth\left(a + \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(coth(a + log(x))^p, x)","F",0
175,0,0,0,0.000000," ","integrate(coth(a+2*log(x))^p,x, algorithm=""giac"")","\int \coth\left(a + 2 \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(coth(a + 2*log(x))^p, x)","F",0
176,0,0,0,0.000000," ","integrate(coth(a+3*log(x))^p,x, algorithm=""giac"")","\int \coth\left(a + 3 \, \log\left(x\right)\right)^{p}\,{d x}"," ",0,"integrate(coth(a + 3*log(x))^p, x)","F",0
177,0,0,0,0.000000," ","integrate(x^3*coth(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\int x^{3} \coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(x^3*coth((b*log(c*x^n) + a)*d), x)","F",0
178,0,0,0,0.000000," ","integrate(x^2*coth(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\int x^{2} \coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(x^2*coth((b*log(c*x^n) + a)*d), x)","F",0
179,0,0,0,0.000000," ","integrate(x*coth(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\int x \coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(x*coth((b*log(c*x^n) + a)*d), x)","F",0
180,0,0,0,0.000000," ","integrate(coth(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\int \coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate(coth((b*log(c*x^n) + a)*d), x)","F",0
181,1,74,0,0.307491," ","integrate(coth(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
182,0,0,0,0.000000," ","integrate(coth(d*(a+b*log(c*x^n)))/x^2,x, algorithm=""giac"")","\int \frac{\coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)}{x^{2}}\,{d x}"," ",0,"integrate(coth((b*log(c*x^n) + a)*d)/x^2, x)","F",0
183,0,0,0,0.000000," ","integrate(coth(d*(a+b*log(c*x^n)))/x^3,x, algorithm=""giac"")","\int \frac{\coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)}{x^{3}}\,{d x}"," ",0,"integrate(coth((b*log(c*x^n) + a)*d)/x^3, x)","F",0
184,0,0,0,0.000000," ","integrate(x^3*coth(d*(a+b*log(c*x^n)))^2,x, algorithm=""giac"")","\int x^{3} \coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}\,{d x}"," ",0,"integrate(x^3*coth((b*log(c*x^n) + a)*d)^2, x)","F",0
185,0,0,0,0.000000," ","integrate(x^2*coth(d*(a+b*log(c*x^n)))^2,x, algorithm=""giac"")","\int x^{2} \coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}\,{d x}"," ",0,"integrate(x^2*coth((b*log(c*x^n) + a)*d)^2, x)","F",0
186,0,0,0,0.000000," ","integrate(x*coth(d*(a+b*log(c*x^n)))^2,x, algorithm=""giac"")","\int x \coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}\,{d x}"," ",0,"integrate(x*coth((b*log(c*x^n) + a)*d)^2, x)","F",0
187,0,0,0,0.000000," ","integrate(coth(d*(a+b*log(c*x^n)))^2,x, algorithm=""giac"")","\int \coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}\,{d x}"," ",0,"integrate(coth((b*log(c*x^n) + a)*d)^2, x)","F",0
188,1,37,0,0.302246," ","integrate(coth(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
189,0,0,0,0.000000," ","integrate(coth(d*(a+b*log(c*x^n)))^2/x^2,x, algorithm=""giac"")","\int \frac{\coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(coth((b*log(c*x^n) + a)*d)^2/x^2, x)","F",0
190,0,0,0,0.000000," ","integrate(coth(d*(a+b*log(c*x^n)))^2/x^3,x, algorithm=""giac"")","\int \frac{\coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}}{x^{3}}\,{d x}"," ",0,"integrate(coth((b*log(c*x^n) + a)*d)^2/x^3, x)","F",0
191,1,127,0,0.295594," ","integrate(coth(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
192,1,67,0,0.313687," ","integrate(coth(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
193,1,161,0,0.336122," ","integrate(coth(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
194,0,0,0,0.000000," ","integrate((e*x)^m*coth(d*(a+b*log(c*x^n))),x, algorithm=""giac"")","\int \left(e x\right)^{m} \coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)\,{d x}"," ",0,"integrate((e*x)^m*coth((b*log(c*x^n) + a)*d), x)","F",0
195,0,0,0,0.000000," ","integrate((e*x)^m*coth(d*(a+b*log(c*x^n)))^2,x, algorithm=""giac"")","\int \left(e x\right)^{m} \coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{2}\,{d x}"," ",0,"integrate((e*x)^m*coth((b*log(c*x^n) + a)*d)^2, x)","F",0
196,0,0,0,0.000000," ","integrate((e*x)^m*coth(d*(a+b*log(c*x^n)))^3,x, algorithm=""giac"")","\int \left(e x\right)^{m} \coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{3}\,{d x}"," ",0,"integrate((e*x)^m*coth((b*log(c*x^n) + a)*d)^3, x)","F",0
197,0,0,0,0.000000," ","integrate(coth(d*(a+b*log(c*x^n)))^p,x, algorithm=""giac"")","\int \coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{p}\,{d x}"," ",0,"integrate(coth((b*log(c*x^n) + a)*d)^p, x)","F",0
198,0,0,0,0.000000," ","integrate((e*x)^m*coth(d*(a+b*log(c*x^n)))^p,x, algorithm=""giac"")","\int \left(e x\right)^{m} \coth\left({\left(b \log\left(c x^{n}\right) + a\right)} d\right)^{p}\,{d x}"," ",0,"integrate((e*x)^m*coth((b*log(c*x^n) + a)*d)^p, x)","F",0
199,-1,0,0,0.000000," ","integrate(coth(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
200,-1,0,0,0.000000," ","integrate(coth(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
201,-1,0,0,0.000000," ","integrate(coth(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
202,0,0,0,0.000000," ","integrate(1/x/coth(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\int \frac{1}{x \sqrt{\coth\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(x*sqrt(coth(b*log(c*x^n) + a))), x)","F",0
203,0,0,0,0.000000," ","integrate(1/x/coth(a+b*log(c*x^n))^(3/2),x, algorithm=""giac"")","\int \frac{1}{x \coth\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x*coth(b*log(c*x^n) + a)^(3/2)), x)","F",0
204,-2,0,0,0.000000," ","integrate(1/x/coth(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: 2.68Error index.cc index_gcd Error: Bad Argument Value","F(-2)",0
205,0,0,0,0.000000," ","integrate(coth(x)^5/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x, algorithm=""giac"")","\int \frac{\coth\left(x\right)^{5}}{\sqrt{c \coth\left(x\right)^{4} + b \coth\left(x\right)^{2} + a}}\,{d x}"," ",0,"integrate(coth(x)^5/sqrt(c*coth(x)^4 + b*coth(x)^2 + a), x)","F",0
206,0,0,0,0.000000," ","integrate(coth(x)^3/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x, algorithm=""giac"")","\int \frac{\coth\left(x\right)^{3}}{\sqrt{c \coth\left(x\right)^{4} + b \coth\left(x\right)^{2} + a}}\,{d x}"," ",0,"integrate(coth(x)^3/sqrt(c*coth(x)^4 + b*coth(x)^2 + a), x)","F",0
207,-1,0,0,0.000000," ","integrate(coth(x)/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
208,-1,0,0,0.000000," ","integrate(tanh(x)/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
209,-1,0,0,0.000000," ","integrate(tanh(x)^3/(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
210,0,0,0,0.000000," ","integrate(coth(x)*(a+b*coth(x)^2+c*coth(x)^4)^(1/2),x, algorithm=""giac"")","\int \sqrt{c \coth\left(x\right)^{4} + b \coth\left(x\right)^{2} + a} \coth\left(x\right)\,{d x}"," ",0,"integrate(sqrt(c*coth(x)^4 + b*coth(x)^2 + a)*coth(x), x)","F",0
211,1,181,0,1.067140," ","integrate(exp(c*(b*x+a))*(coth(b*c*x+a*c)^2)^(5/2),x, algorithm=""giac"")","\frac{\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)} - \frac{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)} + \frac{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)} - 115 \, e^{\left(5 \, b c x + 5 \, a c\right)} + 109 \, e^{\left(3 \, b c x + 3 \, a c\right)} - 21 \, e^{\left(b c x + a c\right)}\right)}}{{\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)}^{4} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)}}{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) - 115*e^(5*b*c*x + 5*a*c) + 109*e^(3*b*c*x + 3*a*c) - 21*e^(b*c*x + a*c))/((e^(2*b*c*x + 2*a*c) - 1)^4*sgn(e^(2*b*c*x + 2*a*c) - 1)))/(b*c)","A",0
212,1,155,0,0.988375," ","integrate(exp(c*(b*x+a))*(coth(b*c*x+a*c)^2)^(3/2),x, algorithm=""giac"")","\frac{\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)} - \frac{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)} + \frac{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)} - e^{\left(b c x + a c\right)}\right)}}{{\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)}^{2} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)}}{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) - e^(b*c*x + a*c))/((e^(2*b*c*x + 2*a*c) - 1)^2*sgn(e^(2*b*c*x + 2*a*c) - 1)))/(b*c)","A",0
213,1,94,0,0.370085," ","integrate(exp(c*(b*x+a))*(coth(b*c*x+a*c)^2)^(1/2),x, algorithm=""giac"")","\frac{\frac{e^{\left(b c x + a c\right)}}{\mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)} - \frac{\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)} + \frac{\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
214,1,60,0,1.329256," ","integrate(exp(c*(b*x+a))/(coth(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
215,1,130,0,0.332150," ","integrate(exp(c*(b*x+a))/(coth(b*c*x+a*c)^2)^(3/2),x, algorithm=""giac"")","-\frac{{\left(3 \, \arctan\left(e^{\left(b c x + a c\right)}\right) e^{\left(-a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - e^{\left(b c x\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - \frac{3 \, e^{\left(3 \, b c x + 2 \, a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) + e^{\left(b c x\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}}\right)} e^{\left(a c\right)}}{b c}"," ",0,"-(3*arctan(e^(b*c*x + a*c))*e^(-a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) - e^(b*c*x)*sgn(e^(2*b*c*x + 2*a*c) - 1) - (3*e^(3*b*c*x + 2*a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) + e^(b*c*x)*sgn(e^(2*b*c*x + 2*a*c) - 1))/(e^(2*b*c*x + 2*a*c) + 1)^2)*e^(a*c)/(b*c)","A",0
216,1,185,0,0.687777," ","integrate(exp(c*(b*x+a))/(coth(b*c*x+a*c)^2)^(5/2),x, algorithm=""giac"")","-\frac{{\left(45 \, \arctan\left(e^{\left(b c x + a c\right)}\right) e^{\left(-a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - 12 \, e^{\left(b c x\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) - \frac{75 \, e^{\left(7 \, b c x + 6 \, 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 + 4 \, 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 + 2 \, a c\right)} \mathrm{sgn}\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right) + 21 \, e^{\left(b c x\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}}\right)} e^{\left(a c\right)}}{12 \, b c}"," ",0,"-1/12*(45*arctan(e^(b*c*x + a*c))*e^(-a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) - 12*e^(b*c*x)*sgn(e^(2*b*c*x + 2*a*c) - 1) - (75*e^(7*b*c*x + 6*a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) + 115*e^(5*b*c*x + 4*a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) + 109*e^(3*b*c*x + 2*a*c)*sgn(e^(2*b*c*x + 2*a*c) - 1) + 21*e^(b*c*x)*sgn(e^(2*b*c*x + 2*a*c) - 1))/(e^(2*b*c*x + 2*a*c) + 1)^4)*e^(a*c)/(b*c)","A",0
217,0,0,0,0.000000," ","integrate(sin(coth(b*x+a))^3,x, algorithm=""giac"")","\int \sin\left(\coth\left(b x + a\right)\right)^{3}\,{d x}"," ",0,"integrate(sin(coth(b*x + a))^3, x)","F",0
218,0,0,0,0.000000," ","integrate(sin(coth(b*x+a))^2,x, algorithm=""giac"")","\int \sin\left(\coth\left(b x + a\right)\right)^{2}\,{d x}"," ",0,"integrate(sin(coth(b*x + a))^2, x)","F",0
219,0,0,0,0.000000," ","integrate(sin(coth(b*x+a)),x, algorithm=""giac"")","\int \sin\left(\coth\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(sin(coth(b*x + a)), x)","F",0
220,0,0,0,0.000000," ","integrate(csc(coth(b*x+a)),x, algorithm=""giac"")","\int \csc\left(\coth\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(csc(coth(b*x + a)), x)","F",0
221,0,0,0,0.000000," ","integrate(cos(coth(b*x+a))^3,x, algorithm=""giac"")","\int \cos\left(\coth\left(b x + a\right)\right)^{3}\,{d x}"," ",0,"integrate(cos(coth(b*x + a))^3, x)","F",0
222,0,0,0,0.000000," ","integrate(cos(coth(b*x+a))^2,x, algorithm=""giac"")","\int \cos\left(\coth\left(b x + a\right)\right)^{2}\,{d x}"," ",0,"integrate(cos(coth(b*x + a))^2, x)","F",0
223,0,0,0,0.000000," ","integrate(cos(coth(b*x+a)),x, algorithm=""giac"")","\int \cos\left(\coth\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(cos(coth(b*x + a)), x)","F",0
224,0,0,0,0.000000," ","integrate(sec(coth(b*x+a)),x, algorithm=""giac"")","\int \sec\left(\coth\left(b x + a\right)\right)\,{d x}"," ",0,"integrate(sec(coth(b*x + a)), x)","F",0
