1,1,21,0,0.133044," ","integrate(2/(-1+3*cosh(4+6*x)),x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{2} \arctan\left(\frac{1}{4} \, \sqrt{2} {\left(3 \, e^{\left(6 \, x + 4\right)} - 1\right)}\right)"," ",0,"1/6*sqrt(2)*arctan(1/4*sqrt(2)*(3*e^(6*x + 4) - 1))","A",0
2,1,21,0,0.148496," ","integrate(1/(cosh(2+3*x)^2+2*sinh(2+3*x)^2),x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{2} \arctan\left(\frac{1}{4} \, \sqrt{2} {\left(3 \, e^{\left(6 \, x + 4\right)} - 1\right)}\right)"," ",0,"1/6*sqrt(2)*arctan(1/4*sqrt(2)*(3*e^(6*x + 4) - 1))","A",0
3,-2,0,0,0.000000," ","integrate(sech(2+3*x)^2/(1+2*tanh(2+3*x)^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:Evaluation time: 190.91Not invertible Error: Bad Argument Value","F(-2)",0
4,-2,0,0,0.000000," ","integrate(csch(2+3*x)^2/(2+coth(2+3*x)^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:Evaluation time: 190.94Not invertible Error: Bad Argument Value","F(-2)",0
5,-1,0,0,0.000000," ","integrate(csch(2+3*x)^2/(2-coth(2+3*x)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
6,-1,0,0,0.000000," ","integrate(csch(2+3*x)^2/(1+2*coth(2+3*x)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
7,-1,0,0,0.000000," ","integrate(csch(2+3*x)^2/(1-2*coth(2+3*x)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,1,29,0,0.132212," ","integrate(cosh(b*x+a)*sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(2 \, b x + 2 \, a\right)}}{8 \, b} + \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{8 \, b}"," ",0,"1/8*e^(2*b*x + 2*a)/b + 1/8*e^(-2*b*x - 2*a)/b","B",0
9,1,96,0,0.292643," ","integrate(cosh(b*x+a)*sinh(b*x+a)^n,x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 3 \, a\right)} - e^{\left(b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + a\right)}}{2 \, {\left(b n e^{\left(2 \, b x + 2 \, a\right)} + b e^{\left(2 \, b x + 2 \, a\right)}\right)}}"," ",0,"1/2*(e^(3*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 3*a) - e^(b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + a))/(b*n*e^(2*b*x + 2*a) + b*e^(2*b*x + 2*a))","B",0
10,1,327,0,0.323101," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^n,x, algorithm=""giac"")","\frac{n e^{\left(7 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 7 \, a\right)} + n e^{\left(5 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 5 \, a\right)} - n e^{\left(3 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 3 \, a\right)} - n e^{\left(b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + a\right)} + e^{\left(7 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 7 \, a\right)} + 9 \, e^{\left(5 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 5 \, a\right)} - 9 \, e^{\left(3 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 3 \, a\right)} - e^{\left(b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + a\right)}}{8 \, {\left(b n^{2} e^{\left(4 \, b x + 4 \, a\right)} + 4 \, b n e^{\left(4 \, b x + 4 \, a\right)} + 3 \, b e^{\left(4 \, b x + 4 \, a\right)}\right)}}"," ",0,"1/8*(n*e^(7*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 7*a) + n*e^(5*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 5*a) - n*e^(3*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 3*a) - n*e^(b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + a) + e^(7*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 7*a) + 9*e^(5*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 5*a) - 9*e^(3*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 3*a) - e^(b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + a))/(b*n^2*e^(4*b*x + 4*a) + 4*b*n*e^(4*b*x + 4*a) + 3*b*e^(4*b*x + 4*a))","B",0
11,1,722,0,0.298350," ","integrate(cosh(b*x+a)^5*sinh(b*x+a)^n,x, algorithm=""giac"")","\frac{n^{2} e^{\left(11 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 11 \, a\right)} + 3 \, n^{2} e^{\left(9 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 9 \, a\right)} + 2 \, n^{2} e^{\left(7 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 7 \, a\right)} - 2 \, n^{2} e^{\left(5 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 5 \, a\right)} - 3 \, n^{2} e^{\left(3 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 3 \, a\right)} - n^{2} e^{\left(b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + a\right)} + 4 \, n e^{\left(11 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 11 \, a\right)} + 28 \, n e^{\left(9 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 9 \, a\right)} + 24 \, n e^{\left(7 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 7 \, a\right)} - 24 \, n e^{\left(5 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 5 \, a\right)} - 28 \, n e^{\left(3 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 3 \, a\right)} - 4 \, n e^{\left(b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + a\right)} + 3 \, e^{\left(11 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 11 \, a\right)} + 25 \, e^{\left(9 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 9 \, a\right)} + 150 \, e^{\left(7 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 7 \, a\right)} - 150 \, e^{\left(5 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 5 \, a\right)} - 25 \, e^{\left(3 \, b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + 3 \, a\right)} - 3 \, e^{\left(b x + n \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right) + a\right)}}{32 \, {\left(b n^{3} e^{\left(6 \, b x + 6 \, a\right)} + 9 \, b n^{2} e^{\left(6 \, b x + 6 \, a\right)} + 23 \, b n e^{\left(6 \, b x + 6 \, a\right)} + 15 \, b e^{\left(6 \, b x + 6 \, a\right)}\right)}}"," ",0,"1/32*(n^2*e^(11*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 11*a) + 3*n^2*e^(9*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 9*a) + 2*n^2*e^(7*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 7*a) - 2*n^2*e^(5*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 5*a) - 3*n^2*e^(3*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 3*a) - n^2*e^(b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + a) + 4*n*e^(11*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 11*a) + 28*n*e^(9*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 9*a) + 24*n*e^(7*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 7*a) - 24*n*e^(5*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 5*a) - 28*n*e^(3*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 3*a) - 4*n*e^(b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + a) + 3*e^(11*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 11*a) + 25*e^(9*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 9*a) + 150*e^(7*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 7*a) - 150*e^(5*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 5*a) - 25*e^(3*b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + 3*a) - 3*e^(b*x + n*log(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)) + a))/(b*n^3*e^(6*b*x + 6*a) + 9*b*n^2*e^(6*b*x + 6*a) + 23*b*n*e^(6*b*x + 6*a) + 15*b*e^(6*b*x + 6*a))","B",0
12,1,94,0,0.205577," ","integrate(cosh(b*x+a)^m*sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 3 \, a\right)} + e^{\left(b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + a\right)}}{2 \, {\left(b m e^{\left(2 \, b x + 2 \, a\right)} + b e^{\left(2 \, b x + 2 \, a\right)}\right)}}"," ",0,"1/2*(e^(3*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 3*a) + e^(b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + a))/(b*m*e^(2*b*x + 2*a) + b*e^(2*b*x + 2*a))","B",0
13,1,325,0,0.350569," ","integrate(cosh(b*x+a)^m*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{m e^{\left(7 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 7 \, a\right)} - m e^{\left(5 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 5 \, a\right)} - m e^{\left(3 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 3 \, a\right)} + m e^{\left(b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + a\right)} + e^{\left(7 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 7 \, a\right)} - 9 \, e^{\left(5 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 5 \, a\right)} - 9 \, e^{\left(3 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 3 \, a\right)} + e^{\left(b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + a\right)}}{8 \, {\left(b m^{2} e^{\left(4 \, b x + 4 \, a\right)} + 4 \, b m e^{\left(4 \, b x + 4 \, a\right)} + 3 \, b e^{\left(4 \, b x + 4 \, a\right)}\right)}}"," ",0,"1/8*(m*e^(7*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 7*a) - m*e^(5*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 5*a) - m*e^(3*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 3*a) + m*e^(b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + a) + e^(7*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 7*a) - 9*e^(5*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 5*a) - 9*e^(3*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 3*a) + e^(b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + a))/(b*m^2*e^(4*b*x + 4*a) + 4*b*m*e^(4*b*x + 4*a) + 3*b*e^(4*b*x + 4*a))","B",0
14,1,721,0,0.308729," ","integrate(cosh(b*x+a)^m*sinh(b*x+a)^5,x, algorithm=""giac"")","\frac{m^{2} e^{\left(11 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 11 \, a\right)} - 3 \, m^{2} e^{\left(9 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 9 \, a\right)} + 2 \, m^{2} e^{\left(7 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 7 \, a\right)} + 2 \, m^{2} e^{\left(5 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 5 \, a\right)} - 3 \, m^{2} e^{\left(3 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 3 \, a\right)} + m^{2} e^{\left(b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + a\right)} + 4 \, m e^{\left(11 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 11 \, a\right)} - 28 \, m e^{\left(9 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 9 \, a\right)} + 24 \, m e^{\left(7 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 7 \, a\right)} + 24 \, m e^{\left(5 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 5 \, a\right)} - 28 \, m e^{\left(3 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 3 \, a\right)} + 4 \, m e^{\left(b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + a\right)} + 3 \, e^{\left(11 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 11 \, a\right)} - 25 \, e^{\left(9 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 9 \, a\right)} + 150 \, e^{\left(7 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 7 \, a\right)} + 150 \, e^{\left(5 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 5 \, a\right)} - 25 \, e^{\left(3 \, b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + 3 \, a\right)} + 3 \, e^{\left(b x + m \log\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-b x - a\right)}\right) + a\right)}}{32 \, {\left(b m^{3} e^{\left(6 \, b x + 6 \, a\right)} + 9 \, b m^{2} e^{\left(6 \, b x + 6 \, a\right)} + 23 \, b m e^{\left(6 \, b x + 6 \, a\right)} + 15 \, b e^{\left(6 \, b x + 6 \, a\right)}\right)}}"," ",0,"1/32*(m^2*e^(11*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 11*a) - 3*m^2*e^(9*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 9*a) + 2*m^2*e^(7*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 7*a) + 2*m^2*e^(5*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 5*a) - 3*m^2*e^(3*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 3*a) + m^2*e^(b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + a) + 4*m*e^(11*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 11*a) - 28*m*e^(9*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 9*a) + 24*m*e^(7*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 7*a) + 24*m*e^(5*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 5*a) - 28*m*e^(3*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 3*a) + 4*m*e^(b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + a) + 3*e^(11*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 11*a) - 25*e^(9*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 9*a) + 150*e^(7*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 7*a) + 150*e^(5*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 5*a) - 25*e^(3*b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + 3*a) + 3*e^(b*x + m*log(1/2*(e^(2*b*x + 2*a) + 1)*e^(-b*x - a)) + a))/(b*m^3*e^(6*b*x + 6*a) + 9*b*m^2*e^(6*b*x + 6*a) + 23*b*m*e^(6*b*x + 6*a) + 15*b*e^(6*b*x + 6*a))","B",0
15,1,32,0,0.227690," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""giac"")","-\frac{1}{8} \, x + \frac{e^{\left(4 \, b x + 4 \, a\right)}}{64 \, b} - \frac{e^{\left(-4 \, b x - 4 \, a\right)}}{64 \, b}"," ",0,"-1/8*x + 1/64*e^(4*b*x + 4*a)/b - 1/64*e^(-4*b*x - 4*a)/b","A",0
16,1,88,0,0.201159," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^4,x, algorithm=""giac"")","\frac{1}{16} \, x + \frac{e^{\left(6 \, b x + 6 \, a\right)}}{384 \, b} - \frac{e^{\left(4 \, b x + 4 \, a\right)}}{128 \, b} - \frac{e^{\left(2 \, b x + 2 \, a\right)}}{128 \, b} + \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{128 \, b} + \frac{e^{\left(-4 \, b x - 4 \, a\right)}}{128 \, b} - \frac{e^{\left(-6 \, b x - 6 \, a\right)}}{384 \, b}"," ",0,"1/16*x + 1/384*e^(6*b*x + 6*a)/b - 1/128*e^(4*b*x + 4*a)/b - 1/128*e^(2*b*x + 2*a)/b + 1/128*e^(-2*b*x - 2*a)/b + 1/128*e^(-4*b*x - 4*a)/b - 1/384*e^(-6*b*x - 6*a)/b","A",0
17,1,116,0,0.205409," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^6,x, algorithm=""giac"")","-\frac{5}{128} \, x + \frac{e^{\left(8 \, b x + 8 \, a\right)}}{2048 \, b} - \frac{e^{\left(6 \, b x + 6 \, a\right)}}{384 \, b} + \frac{e^{\left(4 \, b x + 4 \, a\right)}}{256 \, b} + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{128 \, b} - \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{128 \, b} - \frac{e^{\left(-4 \, b x - 4 \, a\right)}}{256 \, b} + \frac{e^{\left(-6 \, b x - 6 \, a\right)}}{384 \, b} - \frac{e^{\left(-8 \, b x - 8 \, a\right)}}{2048 \, b}"," ",0,"-5/128*x + 1/2048*e^(8*b*x + 8*a)/b - 1/384*e^(6*b*x + 6*a)/b + 1/256*e^(4*b*x + 4*a)/b + 1/128*e^(2*b*x + 2*a)/b - 1/128*e^(-2*b*x - 2*a)/b - 1/256*e^(-4*b*x - 4*a)/b + 1/384*e^(-6*b*x - 6*a)/b - 1/2048*e^(-8*b*x - 8*a)/b","A",0
18,1,88,0,0.159256," ","integrate(cosh(b*x+a)^4*sinh(b*x+a)^2,x, algorithm=""giac"")","-\frac{1}{16} \, x + \frac{e^{\left(6 \, b x + 6 \, a\right)}}{384 \, b} + \frac{e^{\left(4 \, b x + 4 \, a\right)}}{128 \, b} - \frac{e^{\left(2 \, b x + 2 \, a\right)}}{128 \, b} + \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{128 \, b} - \frac{e^{\left(-4 \, b x - 4 \, a\right)}}{128 \, b} - \frac{e^{\left(-6 \, b x - 6 \, a\right)}}{384 \, b}"," ",0,"-1/16*x + 1/384*e^(6*b*x + 6*a)/b + 1/128*e^(4*b*x + 4*a)/b - 1/128*e^(2*b*x + 2*a)/b + 1/128*e^(-2*b*x - 2*a)/b - 1/128*e^(-4*b*x - 4*a)/b - 1/384*e^(-6*b*x - 6*a)/b","A",0
19,1,60,0,0.234502," ","integrate(cosh(b*x+a)^4*sinh(b*x+a)^4,x, algorithm=""giac"")","\frac{3}{128} \, x + \frac{e^{\left(8 \, b x + 8 \, a\right)}}{2048 \, b} - \frac{e^{\left(4 \, b x + 4 \, a\right)}}{256 \, b} + \frac{e^{\left(-4 \, b x - 4 \, a\right)}}{256 \, b} - \frac{e^{\left(-8 \, b x - 8 \, a\right)}}{2048 \, b}"," ",0,"3/128*x + 1/2048*e^(8*b*x + 8*a)/b - 1/256*e^(4*b*x + 4*a)/b + 1/256*e^(-4*b*x - 4*a)/b - 1/2048*e^(-8*b*x - 8*a)/b","A",0
20,1,144,0,0.155756," ","integrate(cosh(b*x+a)^4*sinh(b*x+a)^6,x, algorithm=""giac"")","-\frac{3}{256} \, x + \frac{e^{\left(10 \, b x + 10 \, a\right)}}{10240 \, b} - \frac{e^{\left(8 \, b x + 8 \, a\right)}}{4096 \, b} - \frac{e^{\left(6 \, b x + 6 \, a\right)}}{2048 \, b} + \frac{e^{\left(4 \, b x + 4 \, a\right)}}{512 \, b} + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{1024 \, b} - \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{1024 \, b} - \frac{e^{\left(-4 \, b x - 4 \, a\right)}}{512 \, b} + \frac{e^{\left(-6 \, b x - 6 \, a\right)}}{2048 \, b} + \frac{e^{\left(-8 \, b x - 8 \, a\right)}}{4096 \, b} - \frac{e^{\left(-10 \, b x - 10 \, a\right)}}{10240 \, b}"," ",0,"-3/256*x + 1/10240*e^(10*b*x + 10*a)/b - 1/4096*e^(8*b*x + 8*a)/b - 1/2048*e^(6*b*x + 6*a)/b + 1/512*e^(4*b*x + 4*a)/b + 1/1024*e^(2*b*x + 2*a)/b - 1/1024*e^(-2*b*x - 2*a)/b - 1/512*e^(-4*b*x - 4*a)/b + 1/2048*e^(-6*b*x - 6*a)/b + 1/4096*e^(-8*b*x - 8*a)/b - 1/10240*e^(-10*b*x - 10*a)/b","A",0
21,1,116,0,0.154765," ","integrate(cosh(b*x+a)^6*sinh(b*x+a)^2,x, algorithm=""giac"")","-\frac{5}{128} \, x + \frac{e^{\left(8 \, b x + 8 \, a\right)}}{2048 \, b} + \frac{e^{\left(6 \, b x + 6 \, a\right)}}{384 \, b} + \frac{e^{\left(4 \, b x + 4 \, a\right)}}{256 \, b} - \frac{e^{\left(2 \, b x + 2 \, a\right)}}{128 \, b} + \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{128 \, b} - \frac{e^{\left(-4 \, b x - 4 \, a\right)}}{256 \, b} - \frac{e^{\left(-6 \, b x - 6 \, a\right)}}{384 \, b} - \frac{e^{\left(-8 \, b x - 8 \, a\right)}}{2048 \, b}"," ",0,"-5/128*x + 1/2048*e^(8*b*x + 8*a)/b + 1/384*e^(6*b*x + 6*a)/b + 1/256*e^(4*b*x + 4*a)/b - 1/128*e^(2*b*x + 2*a)/b + 1/128*e^(-2*b*x - 2*a)/b - 1/256*e^(-4*b*x - 4*a)/b - 1/384*e^(-6*b*x - 6*a)/b - 1/2048*e^(-8*b*x - 8*a)/b","A",0
22,1,144,0,0.175979," ","integrate(cosh(b*x+a)^6*sinh(b*x+a)^4,x, algorithm=""giac"")","\frac{3}{256} \, x + \frac{e^{\left(10 \, b x + 10 \, a\right)}}{10240 \, b} + \frac{e^{\left(8 \, b x + 8 \, a\right)}}{4096 \, b} - \frac{e^{\left(6 \, b x + 6 \, a\right)}}{2048 \, b} - \frac{e^{\left(4 \, b x + 4 \, a\right)}}{512 \, b} + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{1024 \, b} - \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{1024 \, b} + \frac{e^{\left(-4 \, b x - 4 \, a\right)}}{512 \, b} + \frac{e^{\left(-6 \, b x - 6 \, a\right)}}{2048 \, b} - \frac{e^{\left(-8 \, b x - 8 \, a\right)}}{4096 \, b} - \frac{e^{\left(-10 \, b x - 10 \, a\right)}}{10240 \, b}"," ",0,"3/256*x + 1/10240*e^(10*b*x + 10*a)/b + 1/4096*e^(8*b*x + 8*a)/b - 1/2048*e^(6*b*x + 6*a)/b - 1/512*e^(4*b*x + 4*a)/b + 1/1024*e^(2*b*x + 2*a)/b - 1/1024*e^(-2*b*x - 2*a)/b + 1/512*e^(-4*b*x - 4*a)/b + 1/2048*e^(-6*b*x - 6*a)/b - 1/4096*e^(-8*b*x - 8*a)/b - 1/10240*e^(-10*b*x - 10*a)/b","A",0
23,1,88,0,0.239005," ","integrate(cosh(b*x+a)^6*sinh(b*x+a)^6,x, algorithm=""giac"")","-\frac{5}{1024} \, x + \frac{e^{\left(12 \, b x + 12 \, a\right)}}{49152 \, b} - \frac{3 \, e^{\left(8 \, b x + 8 \, a\right)}}{16384 \, b} + \frac{15 \, e^{\left(4 \, b x + 4 \, a\right)}}{16384 \, b} - \frac{15 \, e^{\left(-4 \, b x - 4 \, a\right)}}{16384 \, b} + \frac{3 \, e^{\left(-8 \, b x - 8 \, a\right)}}{16384 \, b} - \frac{e^{\left(-12 \, b x - 12 \, a\right)}}{49152 \, b}"," ",0,"-5/1024*x + 1/49152*e^(12*b*x + 12*a)/b - 3/16384*e^(8*b*x + 8*a)/b + 15/16384*e^(4*b*x + 4*a)/b - 15/16384*e^(-4*b*x - 4*a)/b + 3/16384*e^(-8*b*x - 8*a)/b - 1/49152*e^(-12*b*x - 12*a)/b","A",0
24,1,41,0,0.117297," ","integrate(csch(b*x+a)*sech(b*x+a),x, algorithm=""giac"")","-\frac{\log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right) - \log\left(e^{\left(b x + a\right)} + 1\right) - \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{b}"," ",0,"-(log(e^(2*b*x + 2*a) + 1) - log(e^(b*x + a) + 1) - log(abs(e^(b*x + a) - 1)))/b","B",0
25,1,64,0,0.136694," ","integrate(csch(b*x+a)*sech(b*x+a)^2,x, algorithm=""giac"")","\frac{\frac{4}{e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}} - \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} + 2\right) + \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} - 2\right)}{2 \, b}"," ",0,"1/2*(4/(e^(b*x + a) + e^(-b*x - a)) - log(e^(b*x + a) + e^(-b*x - a) + 2) + log(e^(b*x + a) + e^(-b*x - a) - 2))/b","B",0
26,1,93,0,0.135598," ","integrate(csch(b*x+a)*sech(b*x+a)^3,x, algorithm=""giac"")","\frac{\frac{e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 6}{e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2} - \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2\right) + \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2\right)}{2 \, b}"," ",0,"1/2*((e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 6)/(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2) - log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2) + log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2))/b","B",0
27,1,88,0,0.138208," ","integrate(csch(b*x+a)*sech(b*x+a)^4,x, algorithm=""giac"")","\frac{\frac{4 \, {\left(3 \, {\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{2} + 4\right)}}{{\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{3}} - 3 \, \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} + 2\right) + 3 \, \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} - 2\right)}{6 \, b}"," ",0,"1/6*(4*(3*(e^(b*x + a) + e^(-b*x - a))^2 + 4)/(e^(b*x + a) + e^(-b*x - a))^3 - 3*log(e^(b*x + a) + e^(-b*x - a) + 2) + 3*log(e^(b*x + a) + e^(-b*x - a) - 2))/b","B",0
28,1,122,0,0.153622," ","integrate(csch(b*x+a)*sech(b*x+a)^5,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)}\right)}^{2} + 20 \, e^{\left(2 \, b x + 2 \, a\right)} + 20 \, e^{\left(-2 \, b x - 2 \, a\right)} + 44}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2\right)}^{2}} - 2 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2\right) + 2 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2\right)}{4 \, b}"," ",0,"1/4*((3*(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a))^2 + 20*e^(2*b*x + 2*a) + 20*e^(-2*b*x - 2*a) + 44)/(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2)^2 - 2*log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2) + 2*log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2))/b","B",0
29,1,54,0,0.121558," ","integrate(csch(b*x+a)^2*sech(b*x+a),x, algorithm=""giac"")","-\frac{\pi + \frac{4}{e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}} + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right)}{2 \, b}"," ",0,"-1/2*(pi + 4/(e^(b*x + a) - e^(-b*x - a)) + 2*arctan(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)))/b","B",0
30,1,18,0,0.146333," ","integrate(csch(b*x+a)^2*sech(b*x+a)^2,x, algorithm=""giac"")","-\frac{4}{b {\left(e^{\left(4 \, b x + 4 \, a\right)} - 1\right)}}"," ",0,"-4/(b*(e^(4*b*x + 4*a) - 1))","A",0
31,1,102,0,0.160753," ","integrate(csch(b*x+a)^2*sech(b*x+a)^3,x, algorithm=""giac"")","-\frac{3 \, \pi + \frac{4 \, {\left(3 \, {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{2} + 8\right)}}{{\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{3} + 4 \, e^{\left(b x + a\right)} - 4 \, e^{\left(-b x - a\right)}} + 6 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right)}{4 \, b}"," ",0,"-1/4*(3*pi + 4*(3*(e^(b*x + a) - e^(-b*x - a))^2 + 8)/((e^(b*x + a) - e^(-b*x - a))^3 + 4*e^(b*x + a) - 4*e^(-b*x - a)) + 6*arctan(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)))/b","B",0
32,1,60,0,0.149726," ","integrate(csch(b*x+a)^2*sech(b*x+a)^4,x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{3}{e^{\left(2 \, b x + 2 \, a\right)} - 1} - \frac{3 \, e^{\left(4 \, b x + 4 \, a\right)} + 12 \, e^{\left(2 \, b x + 2 \, a\right)} + 5}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{3}}\right)}}{3 \, b}"," ",0,"-2/3*(3/(e^(2*b*x + 2*a) - 1) - (3*e^(4*b*x + 4*a) + 12*e^(2*b*x + 2*a) + 5)/(e^(2*b*x + 2*a) + 1)^3)/b","A",0
33,1,124,0,0.155232," ","integrate(csch(b*x+a)^2*sech(b*x+a)^5,x, algorithm=""giac"")","-\frac{15 \, \pi + \frac{4 \, {\left(7 \, {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{3} + 36 \, e^{\left(b x + a\right)} - 36 \, e^{\left(-b x - a\right)}\right)}}{{\left({\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{2} + 4\right)}^{2}} + \frac{32}{e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}} + 30 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right)}{16 \, b}"," ",0,"-1/16*(15*pi + 4*(7*(e^(b*x + a) - e^(-b*x - a))^3 + 36*e^(b*x + a) - 36*e^(-b*x - a))/((e^(b*x + a) - e^(-b*x - a))^2 + 4)^2 + 32/(e^(b*x + a) - e^(-b*x - a)) + 30*arctan(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)))/b","A",0
34,1,93,0,0.128898," ","integrate(csch(b*x+a)^3*sech(b*x+a),x, algorithm=""giac"")","\frac{\frac{e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 6}{e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2} + \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2\right) - \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2\right)}{2 \, b}"," ",0,"1/2*((e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 6)/(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2) + log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2) - log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2))/b","B",0
35,1,110,0,0.132512," ","integrate(csch(b*x+a)^3*sech(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(3 \, {\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{2} - 8\right)}}{{\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{3} - 4 \, e^{\left(b x + a\right)} - 4 \, e^{\left(-b x - a\right)}} - 3 \, \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} + 2\right) + 3 \, \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} - 2\right)}{4 \, b}"," ",0,"-1/4*(4*(3*(e^(b*x + a) + e^(-b*x - a))^2 - 8)/((e^(b*x + a) + e^(-b*x - a))^3 - 4*e^(b*x + a) - 4*e^(-b*x - a)) - 3*log(e^(b*x + a) + e^(-b*x - a) + 2) + 3*log(e^(b*x + a) + e^(-b*x - a) - 2))/b","B",0
36,1,96,0,0.138933," ","integrate(csch(b*x+a)^3*sech(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)}\right)}^{2} - 4} - \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2\right) + \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2\right)}{b}"," ",0,"-(4*(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a))/((e^(2*b*x + 2*a) + e^(-2*b*x - 2*a))^2 - 4) - log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2) + log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2))/b","B",0
37,1,128,0,0.135729," ","integrate(csch(b*x+a)^3*sech(b*x+a)^4,x, algorithm=""giac"")","-\frac{\frac{12 \, {\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}}{{\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{2} - 4} + \frac{16 \, {\left(3 \, {\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{2} + 2\right)}}{{\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{3}} - 15 \, \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} + 2\right) + 15 \, \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} - 2\right)}{12 \, b}"," ",0,"-1/12*(12*(e^(b*x + a) + e^(-b*x - a))/((e^(b*x + a) + e^(-b*x - a))^2 - 4) + 16*(3*(e^(b*x + a) + e^(-b*x - a))^2 + 2)/(e^(b*x + a) + e^(-b*x - a))^3 - 15*log(e^(b*x + a) + e^(-b*x - a) + 2) + 15*log(e^(b*x + a) + e^(-b*x - a) - 2))/b","B",0
38,1,171,0,0.165890," ","integrate(csch(b*x+a)^3*sech(b*x+a)^5,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(3 \, e^{\left(2 \, b x + 2 \, a\right)} + 3 \, e^{\left(-2 \, b x - 2 \, a\right)} - 10\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2} - \frac{9 \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)}\right)}^{2} + 52 \, e^{\left(2 \, b x + 2 \, a\right)} + 52 \, e^{\left(-2 \, b x - 2 \, a\right)} + 84}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2\right)}^{2}} + 6 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2\right) - 6 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2\right)}{4 \, b}"," ",0,"1/4*(2*(3*e^(2*b*x + 2*a) + 3*e^(-2*b*x - 2*a) - 10)/(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2) - (9*(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a))^2 + 52*e^(2*b*x + 2*a) + 52*e^(-2*b*x - 2*a) + 84)/(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2)^2 + 6*log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2) - 6*log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2))/b","B",0
39,1,80,0,0.141447," ","integrate(csch(b*x+a)^4*sech(b*x+a),x, algorithm=""giac"")","\frac{3 \, \pi + \frac{4 \, {\left(3 \, {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{2} - 4\right)}}{{\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{3}} + 6 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right)}{6 \, b}"," ",0,"1/6*(3*pi + 4*(3*(e^(b*x + a) - e^(-b*x - a))^2 - 4)/(e^(b*x + a) - e^(-b*x - a))^3 + 6*arctan(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)))/b","B",0
40,1,60,0,0.137358," ","integrate(csch(b*x+a)^4*sech(b*x+a)^2,x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{3}{e^{\left(2 \, b x + 2 \, a\right)} + 1} - \frac{3 \, e^{\left(4 \, b x + 4 \, a\right)} - 12 \, e^{\left(2 \, b x + 2 \, a\right)} + 5}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{3}}\right)}}{3 \, b}"," ",0,"-2/3*(3/(e^(2*b*x + 2*a) + 1) - (3*e^(4*b*x + 4*a) - 12*e^(2*b*x + 2*a) + 5)/(e^(2*b*x + 2*a) - 1)^3)/b","A",0
41,1,124,0,0.163751," ","integrate(csch(b*x+a)^4*sech(b*x+a)^3,x, algorithm=""giac"")","\frac{15 \, \pi + \frac{12 \, {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}}{{\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{2} + 4} + \frac{16 \, {\left(3 \, {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{2} - 2\right)}}{{\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{3}} + 30 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right)}{12 \, b}"," ",0,"1/12*(15*pi + 12*(e^(b*x + a) - e^(-b*x - a))/((e^(b*x + a) - e^(-b*x - a))^2 + 4) + 16*(3*(e^(b*x + a) - e^(-b*x - a))^2 - 2)/(e^(b*x + a) - e^(-b*x - a))^3 + 30*arctan(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)))/b","B",0
42,1,31,0,0.146622," ","integrate(csch(b*x+a)^4*sech(b*x+a)^4,x, algorithm=""giac"")","-\frac{32 \, {\left(3 \, e^{\left(4 \, b x + 4 \, a\right)} - 1\right)}}{3 \, b {\left(e^{\left(4 \, b x + 4 \, a\right)} - 1\right)}^{3}}"," ",0,"-32/3*(3*e^(4*b*x + 4*a) - 1)/(b*(e^(4*b*x + 4*a) - 1)^3)","A",0
43,1,148,0,0.147888," ","integrate(csch(b*x+a)^4*sech(b*x+a)^5,x, algorithm=""giac"")","\frac{105 \, \pi + \frac{12 \, {\left(11 \, {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{3} + 52 \, e^{\left(b x + a\right)} - 52 \, e^{\left(-b x - a\right)}\right)}}{{\left({\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{2} + 4\right)}^{2}} + \frac{32 \, {\left(9 \, {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{2} - 4\right)}}{{\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{3}} + 210 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right)}{48 \, b}"," ",0,"1/48*(105*pi + 12*(11*(e^(b*x + a) - e^(-b*x - a))^3 + 52*e^(b*x + a) - 52*e^(-b*x - a))/((e^(b*x + a) - e^(-b*x - a))^2 + 4)^2 + 32*(9*(e^(b*x + a) - e^(-b*x - a))^2 - 4)/(e^(b*x + a) - e^(-b*x - a))^3 + 210*arctan(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)))/b","A",0
44,1,122,0,0.154352," ","integrate(csch(b*x+a)^5*sech(b*x+a),x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)}\right)}^{2} - 20 \, e^{\left(2 \, b x + 2 \, a\right)} - 20 \, e^{\left(-2 \, b x - 2 \, a\right)} + 44}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2\right)}^{2}} + 2 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2\right) - 2 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2\right)}{4 \, b}"," ",0,"-1/4*((3*(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a))^2 - 20*e^(2*b*x + 2*a) - 20*e^(-2*b*x - 2*a) + 44)/(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2)^2 + 2*log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2) - 2*log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2))/b","B",0
45,1,130,0,0.156833," ","integrate(csch(b*x+a)^5*sech(b*x+a)^2,x, algorithm=""giac"")","\frac{\frac{4 \, {\left(7 \, {\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{3} - 36 \, e^{\left(b x + a\right)} - 36 \, e^{\left(-b x - a\right)}\right)}}{{\left({\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{2} - 4\right)}^{2}} + \frac{32}{e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}} - 15 \, \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} + 2\right) + 15 \, \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} - 2\right)}{16 \, b}"," ",0,"1/16*(4*(7*(e^(b*x + a) + e^(-b*x - a))^3 - 36*e^(b*x + a) - 36*e^(-b*x - a))/((e^(b*x + a) + e^(-b*x - a))^2 - 4)^2 + 32/(e^(b*x + a) + e^(-b*x - a)) - 15*log(e^(b*x + a) + e^(-b*x - a) + 2) + 15*log(e^(b*x + a) + e^(-b*x - a) - 2))/b","B",0
46,1,171,0,0.147828," ","integrate(csch(b*x+a)^5*sech(b*x+a)^3,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(3 \, e^{\left(2 \, b x + 2 \, a\right)} + 3 \, e^{\left(-2 \, b x - 2 \, a\right)} + 10\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2} - \frac{9 \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)}\right)}^{2} - 52 \, e^{\left(2 \, b x + 2 \, a\right)} - 52 \, e^{\left(-2 \, b x - 2 \, a\right)} + 84}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2\right)}^{2}} - 6 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2\right) + 6 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2\right)}{4 \, b}"," ",0,"1/4*(2*(3*e^(2*b*x + 2*a) + 3*e^(-2*b*x - 2*a) + 10)/(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2) - (9*(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a))^2 - 52*e^(2*b*x + 2*a) - 52*e^(-2*b*x - 2*a) + 84)/(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2)^2 - 6*log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2) + 6*log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2))/b","B",0
47,1,152,0,0.138893," ","integrate(csch(b*x+a)^5*sech(b*x+a)^4,x, algorithm=""giac"")","\frac{\frac{12 \, {\left(11 \, {\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{3} - 52 \, e^{\left(b x + a\right)} - 52 \, e^{\left(-b x - a\right)}\right)}}{{\left({\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{2} - 4\right)}^{2}} + \frac{32 \, {\left(9 \, {\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{2} + 4\right)}}{{\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{3}} - 105 \, \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} + 2\right) + 105 \, \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} - 2\right)}{48 \, b}"," ",0,"1/48*(12*(11*(e^(b*x + a) + e^(-b*x - a))^3 - 52*e^(b*x + a) - 52*e^(-b*x - a))/((e^(b*x + a) + e^(-b*x - a))^2 - 4)^2 + 32*(9*(e^(b*x + a) + e^(-b*x - a))^2 + 4)/(e^(b*x + a) + e^(-b*x - a))^3 - 105*log(e^(b*x + a) + e^(-b*x - a) + 2) + 105*log(e^(b*x + a) + e^(-b*x - a) - 2))/b","A",0
48,1,124,0,0.165526," ","integrate(csch(b*x+a)^5*sech(b*x+a)^5,x, algorithm=""giac"")","\frac{\frac{4 \, {\left(3 \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)}\right)}^{3} - 20 \, e^{\left(2 \, b x + 2 \, a\right)} - 20 \, e^{\left(-2 \, b x - 2 \, a\right)}\right)}}{{\left({\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)}\right)}^{2} - 4\right)}^{2}} - 3 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2\right) + 3 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2\right)}{b}"," ",0,"(4*(3*(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a))^3 - 20*e^(2*b*x + 2*a) - 20*e^(-2*b*x - 2*a))/((e^(2*b*x + 2*a) + e^(-2*b*x - 2*a))^2 - 4)^2 - 3*log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2) + 3*log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2))/b","A",0
49,0,0,0,0.000000," ","integrate(sinh(b*x+a)^(7/2)/cosh(b*x+a)^(7/2),x, algorithm=""giac"")","\int \frac{\sinh\left(b x + a\right)^{\frac{7}{2}}}{\cosh\left(b x + a\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sinh(b*x + a)^(7/2)/cosh(b*x + a)^(7/2), x)","F",0
50,0,0,0,0.000000," ","integrate(sinh(b*x+a)^(5/2)/cosh(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{\sinh\left(b x + a\right)^{\frac{5}{2}}}{\cosh\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sinh(b*x + a)^(5/2)/cosh(b*x + a)^(5/2), x)","F",0
51,0,0,0,0.000000," ","integrate(sinh(b*x+a)^(3/2)/cosh(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{\sinh\left(b x + a\right)^{\frac{3}{2}}}{\cosh\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sinh(b*x + a)^(3/2)/cosh(b*x + a)^(3/2), x)","F",0
52,0,0,0,0.000000," ","integrate(sinh(b*x+a)^(1/2)/cosh(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{\sinh\left(b x + a\right)}}{\sqrt{\cosh\left(b x + a\right)}}\,{d x}"," ",0,"integrate(sqrt(sinh(b*x + a))/sqrt(cosh(b*x + a)), x)","F",0
53,0,0,0,0.000000," ","integrate(cosh(b*x+a)^(1/2)/sinh(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{\cosh\left(b x + a\right)}}{\sqrt{\sinh\left(b x + a\right)}}\,{d x}"," ",0,"integrate(sqrt(cosh(b*x + a))/sqrt(sinh(b*x + a)), x)","F",0
54,0,0,0,0.000000," ","integrate(cosh(b*x+a)^(3/2)/sinh(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{\frac{3}{2}}}{\sinh\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^(3/2)/sinh(b*x + a)^(3/2), x)","F",0
55,0,0,0,0.000000," ","integrate(cosh(b*x+a)^(5/2)/sinh(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{\frac{5}{2}}}{\sinh\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^(5/2)/sinh(b*x + a)^(5/2), x)","F",0
56,0,0,0,0.000000," ","integrate(cosh(b*x+a)^(7/2)/sinh(b*x+a)^(7/2),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{\frac{7}{2}}}{\sinh\left(b x + a\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^(7/2)/sinh(b*x + a)^(7/2), x)","F",0
57,0,0,0,0.000000," ","integrate(sinh(b*x+a)^(7/3)/cosh(b*x+a)^(7/3),x, algorithm=""giac"")","\int \frac{\sinh\left(b x + a\right)^{\frac{7}{3}}}{\cosh\left(b x + a\right)^{\frac{7}{3}}}\,{d x}"," ",0,"integrate(sinh(b*x + a)^(7/3)/cosh(b*x + a)^(7/3), x)","F",0
58,0,0,0,0.000000," ","integrate(sinh(b*x+a)^(5/3)/cosh(b*x+a)^(5/3),x, algorithm=""giac"")","\int \frac{\sinh\left(b x + a\right)^{\frac{5}{3}}}{\cosh\left(b x + a\right)^{\frac{5}{3}}}\,{d x}"," ",0,"integrate(sinh(b*x + a)^(5/3)/cosh(b*x + a)^(5/3), x)","F",0
59,0,0,0,0.000000," ","integrate(sinh(b*x+a)^(4/3)/cosh(b*x+a)^(4/3),x, algorithm=""giac"")","\int \frac{\sinh\left(b x + a\right)^{\frac{4}{3}}}{\cosh\left(b x + a\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(sinh(b*x + a)^(4/3)/cosh(b*x + a)^(4/3), x)","F",0
60,0,0,0,0.000000," ","integrate(sinh(b*x+a)^(2/3)/cosh(b*x+a)^(2/3),x, algorithm=""giac"")","\int \frac{\sinh\left(b x + a\right)^{\frac{2}{3}}}{\cosh\left(b x + a\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(sinh(b*x + a)^(2/3)/cosh(b*x + a)^(2/3), x)","F",0
61,0,0,0,0.000000," ","integrate(sinh(b*x+a)^(1/3)/cosh(b*x+a)^(1/3),x, algorithm=""giac"")","\int \frac{\sinh\left(b x + a\right)^{\frac{1}{3}}}{\cosh\left(b x + a\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sinh(b*x + a)^(1/3)/cosh(b*x + a)^(1/3), x)","F",0
62,0,0,0,0.000000," ","integrate(cosh(b*x+a)^(1/3)/sinh(b*x+a)^(1/3),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{\frac{1}{3}}}{\sinh\left(b x + a\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^(1/3)/sinh(b*x + a)^(1/3), x)","F",0
63,0,0,0,0.000000," ","integrate(cosh(b*x+a)^(2/3)/sinh(b*x+a)^(2/3),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{\frac{2}{3}}}{\sinh\left(b x + a\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^(2/3)/sinh(b*x + a)^(2/3), x)","F",0
64,0,0,0,0.000000," ","integrate(cosh(b*x+a)^(4/3)/sinh(b*x+a)^(4/3),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{\frac{4}{3}}}{\sinh\left(b x + a\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^(4/3)/sinh(b*x + a)^(4/3), x)","F",0
65,0,0,0,0.000000," ","integrate(cosh(b*x+a)^(5/3)/sinh(b*x+a)^(5/3),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{\frac{5}{3}}}{\sinh\left(b x + a\right)^{\frac{5}{3}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^(5/3)/sinh(b*x + a)^(5/3), x)","F",0
66,0,0,0,0.000000," ","integrate(cosh(b*x+a)^(7/3)/sinh(b*x+a)^(7/3),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{\frac{7}{3}}}{\sinh\left(b x + a\right)^{\frac{7}{3}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^(7/3)/sinh(b*x + a)^(7/3), x)","F",0
67,0,0,0,0.000000," ","integrate(cosh(x)^(2/3)/sinh(x)^(8/3),x, algorithm=""giac"")","\int \frac{\cosh\left(x\right)^{\frac{2}{3}}}{\sinh\left(x\right)^{\frac{8}{3}}}\,{d x}"," ",0,"integrate(cosh(x)^(2/3)/sinh(x)^(8/3), x)","F",0
68,0,0,0,0.000000," ","integrate(sinh(x)^(2/3)/cosh(x)^(8/3),x, algorithm=""giac"")","\int \frac{\sinh\left(x\right)^{\frac{2}{3}}}{\cosh\left(x\right)^{\frac{8}{3}}}\,{d x}"," ",0,"integrate(sinh(x)^(2/3)/cosh(x)^(8/3), x)","F",0
69,1,17,0,0.125339," ","integrate(cosh(x)*csch(x)^(7/3),x, algorithm=""giac"")","-\frac{3 \cdot 2^{\frac{1}{3}} e^{\left(\frac{4}{3} \, x\right)}}{2 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{\frac{4}{3}}}"," ",0,"-3/2*2^(1/3)*e^(4/3*x)/(e^(2*x) - 1)^(4/3)","B",0
70,1,32,0,0.132813," ","integrate(sinh(b*x+a)*tanh(b*x+a),x, algorithm=""giac"")","-\frac{4 \, \arctan\left(e^{\left(b x + a\right)}\right) - e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"-1/2*(4*arctan(e^(b*x + a)) - e^(b*x + a) + e^(-b*x - a))/b","A",0
71,1,46,0,0.150273," ","integrate(sinh(b*x+a)*tanh(b*x+a)^2,x, algorithm=""giac"")","\frac{\frac{{\left(5 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-a\right)}}{e^{\left(3 \, b x + 2 \, a\right)} + e^{\left(b x\right)}} + e^{\left(b x + a\right)}}{2 \, b}"," ",0,"1/2*((5*e^(2*b*x + 2*a) + 1)*e^(-a)/(e^(3*b*x + 2*a) + e^(b*x)) + e^(b*x + a))/b","B",0
72,1,65,0,0.141513," ","integrate(sinh(b*x+a)*tanh(b*x+a)^3,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(e^{\left(3 \, b x + 3 \, a\right)} - e^{\left(b x + a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{2}} - 6 \, \arctan\left(e^{\left(b x + a\right)}\right) + e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"1/2*(2*(e^(3*b*x + 3*a) - e^(b*x + a))/(e^(2*b*x + 2*a) + 1)^2 - 6*arctan(e^(b*x + a)) + e^(b*x + a) - e^(-b*x - a))/b","A",0
73,1,71,0,0.152246," ","integrate(sinh(b*x+a)*tanh(b*x+a)^4,x, algorithm=""giac"")","\frac{\frac{8 \, {\left(3 \, e^{\left(5 \, b x + 5 \, a\right)} + 4 \, e^{\left(3 \, b x + 3 \, a\right)} + 3 \, e^{\left(b x + a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{3}} + 3 \, e^{\left(b x + a\right)} + 3 \, e^{\left(-b x - a\right)}}{6 \, b}"," ",0,"1/6*(8*(3*e^(5*b*x + 5*a) + 4*e^(3*b*x + 3*a) + 3*e^(b*x + a))/(e^(2*b*x + 2*a) + 1)^3 + 3*e^(b*x + a) + 3*e^(-b*x - a))/b","B",0
74,1,57,0,0.129492," ","integrate(sinh(b*x+a)^2*tanh(b*x+a),x, algorithm=""giac"")","\frac{8 \, b x - {\left(4 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(2 \, b x + 2 \, a\right)} - 8 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{8 \, b}"," ",0,"1/8*(8*b*x - (4*e^(2*b*x + 2*a) - 1)*e^(-2*b*x - 2*a) + e^(2*b*x + 2*a) - 8*log(e^(2*b*x + 2*a) + 1))/b","B",0
75,1,68,0,0.149537," ","integrate(sinh(b*x+a)^2*tanh(b*x+a)^2,x, algorithm=""giac"")","-\frac{12 \, b x - \frac{{\left(3 \, e^{\left(4 \, b x + 4 \, a\right)} - 14 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-2 \, a\right)}}{e^{\left(2 \, b x\right)} + e^{\left(4 \, b x + 2 \, a\right)}} - e^{\left(2 \, b x + 2 \, a\right)}}{8 \, b}"," ",0,"-1/8*(12*b*x - (3*e^(4*b*x + 4*a) - 14*e^(2*b*x + 2*a) - 1)*e^(-2*a)/(e^(2*b*x) + e^(4*b*x + 2*a)) - e^(2*b*x + 2*a))/b","A",0
76,1,96,0,0.179742," ","integrate(sinh(b*x+a)^2*tanh(b*x+a)^3,x, algorithm=""giac"")","\frac{16 \, b x - {\left(8 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-2 \, b x - 2 \, a\right)} + \frac{8 \, {\left(3 \, e^{\left(4 \, b x + 4 \, a\right)} + 4 \, e^{\left(2 \, b x + 2 \, a\right)} + 3\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{2}} + e^{\left(2 \, b x + 2 \, a\right)} - 16 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{8 \, b}"," ",0,"1/8*(16*b*x - (8*e^(2*b*x + 2*a) - 1)*e^(-2*b*x - 2*a) + 8*(3*e^(4*b*x + 4*a) + 4*e^(2*b*x + 2*a) + 3)/(e^(2*b*x + 2*a) + 1)^2 + e^(2*b*x + 2*a) - 16*log(e^(2*b*x + 2*a) + 1))/b","B",0
77,1,63,0,0.129380," ","integrate(sinh(b*x+a)^3*tanh(b*x+a),x, algorithm=""giac"")","\frac{{\left(15 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-3 \, b x - 3 \, a\right)} + {\left(e^{\left(3 \, b x + 18 \, a\right)} - 15 \, e^{\left(b x + 16 \, a\right)}\right)} e^{\left(-15 \, a\right)} + 48 \, \arctan\left(e^{\left(b x + a\right)}\right)}{24 \, b}"," ",0,"1/24*((15*e^(2*b*x + 2*a) - 1)*e^(-3*b*x - 3*a) + (e^(3*b*x + 18*a) - 15*e^(b*x + 16*a))*e^(-15*a) + 48*arctan(e^(b*x + a)))/b","A",0
78,1,76,0,0.154811," ","integrate(sinh(b*x+a)^3*tanh(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(21 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-3 \, b x - 3 \, a\right)} - {\left(e^{\left(3 \, b x + 24 \, a\right)} - 21 \, e^{\left(b x + 22 \, a\right)}\right)} e^{\left(-21 \, a\right)} + \frac{48 \, e^{\left(b x + a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1}}{24 \, b}"," ",0,"-1/24*((21*e^(2*b*x + 2*a) - 1)*e^(-3*b*x - 3*a) - (e^(3*b*x + 24*a) - 21*e^(b*x + 22*a))*e^(-21*a) + 48*e^(b*x + a)/(e^(2*b*x + 2*a) + 1))/b","B",0
79,1,96,0,0.180945," ","integrate(sinh(b*x+a)^3*tanh(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(27 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-3 \, b x - 3 \, a\right)} + {\left(e^{\left(3 \, b x + 30 \, a\right)} - 27 \, e^{\left(b x + 28 \, a\right)}\right)} e^{\left(-27 \, a\right)} - \frac{24 \, {\left(e^{\left(3 \, b x + 3 \, a\right)} - e^{\left(b x + a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{2}} + 120 \, \arctan\left(e^{\left(b x + a\right)}\right)}{24 \, b}"," ",0,"1/24*((27*e^(2*b*x + 2*a) - 1)*e^(-3*b*x - 3*a) + (e^(3*b*x + 30*a) - 27*e^(b*x + 28*a))*e^(-27*a) - 24*(e^(3*b*x + 3*a) - e^(b*x + a))/(e^(2*b*x + 2*a) + 1)^2 + 120*arctan(e^(b*x + a)))/b","A",0
80,1,86,0,0.168702," ","integrate(sinh(b*x+a)^4*tanh(b*x+a),x, algorithm=""giac"")","-\frac{64 \, b x - {\left(48 \, e^{\left(4 \, b x + 4 \, a\right)} - 12 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-4 \, b x - 4 \, a\right)} - {\left(e^{\left(4 \, b x + 16 \, a\right)} - 12 \, e^{\left(2 \, b x + 14 \, a\right)}\right)} e^{\left(-12 \, a\right)} - 64 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{64 \, b}"," ",0,"-1/64*(64*b*x - (48*e^(4*b*x + 4*a) - 12*e^(2*b*x + 2*a) + 1)*e^(-4*b*x - 4*a) - (e^(4*b*x + 16*a) - 12*e^(2*b*x + 14*a))*e^(-12*a) - 64*log(e^(2*b*x + 2*a) + 1))/b","B",0
81,1,24,0,0.115691," ","integrate(sech(b*x+a)*tanh(b*x+a),x, algorithm=""giac"")","-\frac{2 \, e^{\left(b x + a\right)}}{b {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}}"," ",0,"-2*e^(b*x + a)/(b*(e^(2*b*x + 2*a) + 1))","B",0
82,1,27,0,0.124460," ","integrate(sech(b*x+a)^2*tanh(b*x+a),x, algorithm=""giac"")","-\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{b {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{2}}"," ",0,"-2*e^(2*b*x + 2*a)/(b*(e^(2*b*x + 2*a) + 1)^2)","B",0
83,0,0,0,0.000000," ","integrate(sech(b*x+a)^n*tanh(b*x+a),x, algorithm=""giac"")","\int \operatorname{sech}\left(b x + a\right)^{n} \tanh\left(b x + a\right)\,{d x}"," ",0,"integrate(sech(b*x + a)^n*tanh(b*x + a), x)","F",0
84,1,31,0,0.128444," ","integrate(sech(b*x+a)^2*tanh(b*x+a)^2,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, e^{\left(4 \, b x + 4 \, a\right)} + 1\right)}}{3 \, b {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{3}}"," ",0,"-2/3*(3*e^(4*b*x + 4*a) + 1)/(b*(e^(2*b*x + 2*a) + 1)^3)","B",0
85,1,37,0,0.143013," ","integrate(sech(b*x+a)^2*tanh(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, {\left(e^{\left(6 \, b x + 6 \, a\right)} + e^{\left(2 \, b x + 2 \, a\right)}\right)}}{b {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{4}}"," ",0,"-2*(e^(6*b*x + 6*a) + e^(2*b*x + 2*a))/(b*(e^(2*b*x + 2*a) + 1)^4)","B",0
86,0,0,0,0.000000," ","integrate(sech(b*x+a)^2*tanh(b*x+a)^n,x, algorithm=""giac"")","\int \tanh\left(b x + a\right)^{n} \operatorname{sech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(tanh(b*x + a)^n*sech(b*x + a)^2, x)","F",0
87,1,49,0,0.155654," ","integrate(sech(b*x+a)*tanh(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, e^{\left(5 \, b x + 5 \, a\right)} + 2 \, e^{\left(3 \, b x + 3 \, a\right)} + 3 \, e^{\left(b x + a\right)}\right)}}{3 \, b {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{3}}"," ",0,"-2/3*(3*e^(5*b*x + 5*a) + 2*e^(3*b*x + 3*a) + 3*e^(b*x + a))/(b*(e^(2*b*x + 2*a) + 1)^3)","A",0
88,1,52,0,0.154603," ","integrate(sech(b*x+a)^3*tanh(b*x+a)^3,x, algorithm=""giac"")","-\frac{8 \, {\left(5 \, e^{\left(7 \, b x + 7 \, a\right)} - 2 \, e^{\left(5 \, b x + 5 \, a\right)} + 5 \, e^{\left(3 \, b x + 3 \, a\right)}\right)}}{15 \, b {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{5}}"," ",0,"-8/15*(5*e^(7*b*x + 7*a) - 2*e^(5*b*x + 5*a) + 5*e^(3*b*x + 3*a))/(b*(e^(2*b*x + 2*a) + 1)^5)","A",0
89,0,0,0,0.000000," ","integrate(sech(b*x+a)^n*tanh(b*x+a)^3,x, algorithm=""giac"")","\int \operatorname{sech}\left(b x + a\right)^{n} \tanh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(sech(b*x + a)^n*tanh(b*x + a)^3, x)","F",0
90,1,53,0,0.137078," ","integrate(sech(b*x+a)^4*tanh(b*x+a)^2,x, algorithm=""giac"")","-\frac{4 \, {\left(15 \, e^{\left(6 \, b x + 6 \, a\right)} - 5 \, e^{\left(4 \, b x + 4 \, a\right)} + 5 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}}{15 \, b {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{5}}"," ",0,"-4/15*(15*e^(6*b*x + 6*a) - 5*e^(4*b*x + 4*a) + 5*e^(2*b*x + 2*a) + 1)/(b*(e^(2*b*x + 2*a) + 1)^5)","A",0
91,1,148,0,0.180111," ","integrate(sech(b*x+a)^4*tanh(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{16 \, {\left(21 \, {\left(\sqrt{e^{\left(4 \, b x + 4 \, a\right)} - 1} - e^{\left(2 \, b x + 2 \, a\right)}\right)}^{5} - 7 \, {\left(\sqrt{e^{\left(4 \, b x + 4 \, a\right)} - 1} - e^{\left(2 \, b x + 2 \, a\right)}\right)}^{4} + 28 \, {\left(\sqrt{e^{\left(4 \, b x + 4 \, a\right)} - 1} - e^{\left(2 \, b x + 2 \, a\right)}\right)}^{3} + 7 \, \sqrt{e^{\left(4 \, b x + 4 \, a\right)} - 1} - 7 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}}{21 \, b {\left(\sqrt{e^{\left(4 \, b x + 4 \, a\right)} - 1} - e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{7}}"," ",0,"16/21*(21*(sqrt(e^(4*b*x + 4*a) - 1) - e^(2*b*x + 2*a))^5 - 7*(sqrt(e^(4*b*x + 4*a) - 1) - e^(2*b*x + 2*a))^4 + 28*(sqrt(e^(4*b*x + 4*a) - 1) - e^(2*b*x + 2*a))^3 + 7*sqrt(e^(4*b*x + 4*a) - 1) - 7*e^(2*b*x + 2*a) - 1)/(b*(sqrt(e^(4*b*x + 4*a) - 1) - e^(2*b*x + 2*a) - 1)^7)","B",0
92,0,0,0,0.000000," ","integrate(sech(b*x+a)^4*tanh(b*x+a)^n,x, algorithm=""giac"")","\int \tanh\left(b x + a\right)^{n} \operatorname{sech}\left(b x + a\right)^{4}\,{d x}"," ",0,"integrate(tanh(b*x + a)^n*sech(b*x + a)^4, x)","F",0
93,1,47,0,0.131775," ","integrate(sech(b*x+a)*tanh(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{e^{\left(3 \, b x + 3 \, a\right)} - e^{\left(b x + a\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{2}} - \arctan\left(e^{\left(b x + a\right)}\right)}{b}"," ",0,"-((e^(3*b*x + 3*a) - e^(b*x + a))/(e^(2*b*x + 2*a) + 1)^2 - arctan(e^(b*x + a)))/b","A",0
94,1,71,0,0.149266," ","integrate(sech(b*x+a)*tanh(b*x+a)^4,x, algorithm=""giac"")","-\frac{\frac{5 \, e^{\left(7 \, b x + 7 \, a\right)} - 3 \, e^{\left(5 \, b x + 5 \, a\right)} + 3 \, e^{\left(3 \, b x + 3 \, a\right)} - 5 \, e^{\left(b x + a\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{4}} - 3 \, \arctan\left(e^{\left(b x + a\right)}\right)}{4 \, b}"," ",0,"-1/4*((5*e^(7*b*x + 7*a) - 3*e^(5*b*x + 5*a) + 3*e^(3*b*x + 3*a) - 5*e^(b*x + a))/(e^(2*b*x + 2*a) + 1)^4 - 3*arctan(e^(b*x + a)))/b","A",0
95,1,67,0,0.152943," ","integrate(sech(b*x+a)^3*tanh(b*x+a)^2,x, algorithm=""giac"")","\frac{\frac{e^{\left(7 \, b x + 7 \, a\right)} - 7 \, e^{\left(5 \, b x + 5 \, a\right)} + 7 \, e^{\left(3 \, b x + 3 \, a\right)} - e^{\left(b x + a\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{4}} + \arctan\left(e^{\left(b x + a\right)}\right)}{4 \, b}"," ",0,"1/4*((e^(7*b*x + 7*a) - 7*e^(5*b*x + 5*a) + 7*e^(3*b*x + 3*a) - e^(b*x + a))/(e^(2*b*x + 2*a) + 1)^4 + arctan(e^(b*x + a)))/b","A",0
96,1,35,0,0.132053," ","integrate(sech(x)*tanh(x)^5,x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{4} - 40 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 48\right)}}{15 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{5}}"," ",0,"-2/15*(15*(e^(-x) + e^x)^4 - 40*(e^(-x) + e^x)^2 + 48)/(e^(-x) + e^x)^5","B",0
97,1,35,0,0.115249," ","integrate(sech(x)^7*tanh(x)^5,x, algorithm=""giac"")","-\frac{128 \, {\left(99 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{4} - 616 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 1008\right)}}{693 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{11}}"," ",0,"-128/693*(99*(e^(-x) + e^x)^4 - 616*(e^(-x) + e^x)^2 + 1008)/(e^(-x) + e^x)^11","A",0
98,1,73,0,0.116430," ","integrate(sech(x)^3*tanh(x)^4,x, algorithm=""giac"")","\frac{1}{32} \, \pi - \frac{3 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{5} - 32 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} - 48 \, e^{\left(-x\right)} + 48 \, e^{x}}{24 \, {\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}^{3}} + \frac{1}{16} \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)"," ",0,"1/32*pi - 1/24*(3*(e^(-x) - e^x)^5 - 32*(e^(-x) - e^x)^3 - 48*e^(-x) + 48*e^x)/((e^(-x) - e^x)^2 + 4)^3 + 1/16*arctan(1/2*(e^(2*x) - 1)*e^(-x))","B",0
99,1,73,0,0.134185," ","integrate(sech(x)^5*tanh(x)^2,x, algorithm=""giac"")","\frac{1}{32} \, \pi - \frac{3 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{5} + 32 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} - 48 \, e^{\left(-x\right)} + 48 \, e^{x}}{24 \, {\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}^{3}} + \frac{1}{16} \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)"," ",0,"1/32*pi - 1/24*(3*(e^(-x) - e^x)^5 + 32*(e^(-x) - e^x)^3 - 48*e^(-x) + 48*e^x)/((e^(-x) - e^x)^2 + 4)^3 + 1/16*arctan(1/2*(e^(2*x) - 1)*e^(-x))","B",0
100,1,66,0,0.119475," ","integrate(sech(x)^8*tanh(x)^6,x, algorithm=""giac"")","-\frac{32 \, {\left(3003 \, e^{\left(18 \, x\right)} - 9009 \, e^{\left(16 \, x\right)} + 18018 \, e^{\left(14 \, x\right)} - 16302 \, e^{\left(12 \, x\right)} + 10296 \, e^{\left(10 \, x\right)} - 2288 \, e^{\left(8 \, x\right)} + 286 \, e^{\left(6 \, x\right)} + 78 \, e^{\left(4 \, x\right)} + 13 \, e^{\left(2 \, x\right)} + 1\right)}}{3003 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{13}}"," ",0,"-32/3003*(3003*e^(18*x) - 9009*e^(16*x) + 18018*e^(14*x) - 16302*e^(12*x) + 10296*e^(10*x) - 2288*e^(8*x) + 286*e^(6*x) + 78*e^(4*x) + 13*e^(2*x) + 1)/(e^(2*x) + 1)^13","B",0
101,1,44,0,0.140653," ","integrate(cosh(b*x+a)*coth(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} - 2 \, \log\left(e^{\left(b x + a\right)} + 1\right) + 2 \, \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{2 \, b}"," ",0,"1/2*(e^(b*x + a) + e^(-b*x - a) - 2*log(e^(b*x + a) + 1) + 2*log(abs(e^(b*x + a) - 1)))/b","A",0
102,1,50,0,0.143485," ","integrate(cosh(b*x+a)*coth(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{{\left(5 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-a\right)}}{e^{\left(3 \, b x + 2 \, a\right)} - e^{\left(b x\right)}} - e^{\left(b x + a\right)}}{2 \, b}"," ",0,"-1/2*((5*e^(2*b*x + 2*a) - 1)*e^(-a)/(e^(3*b*x + 2*a) - e^(b*x)) - e^(b*x + a))/b","B",0
103,1,79,0,0.174747," ","integrate(cosh(b*x+a)*coth(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(e^{\left(3 \, b x + 3 \, a\right)} + e^{\left(b x + a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}} - e^{\left(b x + a\right)} - e^{\left(-b x - a\right)} + 3 \, \log\left(e^{\left(b x + a\right)} + 1\right) - 3 \, \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{2 \, b}"," ",0,"-1/2*(2*(e^(3*b*x + 3*a) + e^(b*x + a))/(e^(2*b*x + 2*a) - 1)^2 - e^(b*x + a) - e^(-b*x - a) + 3*log(e^(b*x + a) + 1) - 3*log(abs(e^(b*x + a) - 1)))/b","A",0
104,1,71,0,0.192705," ","integrate(cosh(b*x+a)*coth(b*x+a)^4,x, algorithm=""giac"")","-\frac{\frac{8 \, {\left(3 \, e^{\left(5 \, b x + 5 \, a\right)} - 4 \, e^{\left(3 \, b x + 3 \, a\right)} + 3 \, e^{\left(b x + a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{3}} - 3 \, e^{\left(b x + a\right)} + 3 \, e^{\left(-b x - a\right)}}{6 \, b}"," ",0,"-1/6*(8*(3*e^(5*b*x + 5*a) - 4*e^(3*b*x + 3*a) + 3*e^(b*x + a))/(e^(2*b*x + 2*a) - 1)^3 - 3*e^(b*x + a) + 3*e^(-b*x - a))/b","B",0
105,1,60,0,0.144361," ","integrate(cosh(b*x+a)^2*coth(b*x+a),x, algorithm=""giac"")","-\frac{8 \, b x - {\left(4 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)} - e^{\left(2 \, b x + 2 \, a\right)} - 8 \, \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{8 \, b}"," ",0,"-1/8*(8*b*x - (4*e^(2*b*x + 2*a) + 1)*e^(-2*b*x - 2*a) - e^(2*b*x + 2*a) - 8*log(abs(e^(2*b*x + 2*a) - 1)))/b","B",0
106,1,67,0,0.174743," ","integrate(cosh(b*x+a)^2*coth(b*x+a)^2,x, algorithm=""giac"")","\frac{12 \, b x + \frac{{\left(3 \, e^{\left(4 \, b x + 4 \, a\right)} + 14 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-2 \, a\right)}}{e^{\left(2 \, b x\right)} - e^{\left(4 \, b x + 2 \, a\right)}} + e^{\left(2 \, b x + 2 \, a\right)}}{8 \, b}"," ",0,"1/8*(12*b*x + (3*e^(4*b*x + 4*a) + 14*e^(2*b*x + 2*a) - 1)*e^(-2*a)/(e^(2*b*x) - e^(4*b*x + 2*a)) + e^(2*b*x + 2*a))/b","A",0
107,1,99,0,0.205234," ","integrate(cosh(b*x+a)^2*coth(b*x+a)^3,x, algorithm=""giac"")","-\frac{16 \, b x - {\left(8 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)} + \frac{8 \, {\left(3 \, e^{\left(4 \, b x + 4 \, a\right)} - 4 \, e^{\left(2 \, b x + 2 \, a\right)} + 3\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}} - e^{\left(2 \, b x + 2 \, a\right)} - 16 \, \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{8 \, b}"," ",0,"-1/8*(16*b*x - (8*e^(2*b*x + 2*a) + 1)*e^(-2*b*x - 2*a) + 8*(3*e^(4*b*x + 4*a) - 4*e^(2*b*x + 2*a) + 3)/(e^(2*b*x + 2*a) - 1)^2 - e^(2*b*x + 2*a) - 16*log(abs(e^(2*b*x + 2*a) - 1)))/b","B",0
108,1,77,0,0.157995," ","integrate(cosh(b*x+a)^3*coth(b*x+a),x, algorithm=""giac"")","\frac{{\left(15 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-3 \, b x - 3 \, a\right)} + {\left(e^{\left(3 \, b x + 18 \, a\right)} + 15 \, e^{\left(b x + 16 \, a\right)}\right)} e^{\left(-15 \, a\right)} - 24 \, \log\left(e^{\left(b x + a\right)} + 1\right) + 24 \, \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{24 \, b}"," ",0,"1/24*((15*e^(2*b*x + 2*a) + 1)*e^(-3*b*x - 3*a) + (e^(3*b*x + 18*a) + 15*e^(b*x + 16*a))*e^(-15*a) - 24*log(e^(b*x + a) + 1) + 24*log(abs(e^(b*x + a) - 1)))/b","B",0
109,1,76,0,0.172735," ","integrate(cosh(b*x+a)^3*coth(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(21 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-3 \, b x - 3 \, a\right)} - {\left(e^{\left(3 \, b x + 24 \, a\right)} + 21 \, e^{\left(b x + 22 \, a\right)}\right)} e^{\left(-21 \, a\right)} + \frac{48 \, e^{\left(b x + a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} - 1}}{24 \, b}"," ",0,"-1/24*((21*e^(2*b*x + 2*a) + 1)*e^(-3*b*x - 3*a) - (e^(3*b*x + 24*a) + 21*e^(b*x + 22*a))*e^(-21*a) + 48*e^(b*x + a)/(e^(2*b*x + 2*a) - 1))/b","B",0
110,1,108,0,0.218315," ","integrate(cosh(b*x+a)^3*coth(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(27 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-3 \, b x - 3 \, a\right)} + {\left(e^{\left(3 \, b x + 30 \, a\right)} + 27 \, e^{\left(b x + 28 \, a\right)}\right)} e^{\left(-27 \, a\right)} - \frac{24 \, {\left(e^{\left(3 \, b x + 3 \, a\right)} + e^{\left(b x + a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}} - 60 \, \log\left(e^{\left(b x + a\right)} + 1\right) + 60 \, \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{24 \, b}"," ",0,"1/24*((27*e^(2*b*x + 2*a) + 1)*e^(-3*b*x - 3*a) + (e^(3*b*x + 30*a) + 27*e^(b*x + 28*a))*e^(-27*a) - 24*(e^(3*b*x + 3*a) + e^(b*x + a))/(e^(2*b*x + 2*a) - 1)^2 - 60*log(e^(b*x + a) + 1) + 60*log(abs(e^(b*x + a) - 1)))/b","A",0
111,1,87,0,0.159087," ","integrate(cosh(b*x+a)^4*coth(b*x+a),x, algorithm=""giac"")","-\frac{64 \, b x - {\left(48 \, e^{\left(4 \, b x + 4 \, a\right)} + 12 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-4 \, b x - 4 \, a\right)} - {\left(e^{\left(4 \, b x + 16 \, a\right)} + 12 \, e^{\left(2 \, b x + 14 \, a\right)}\right)} e^{\left(-12 \, a\right)} - 64 \, \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{64 \, b}"," ",0,"-1/64*(64*b*x - (48*e^(4*b*x + 4*a) + 12*e^(2*b*x + 2*a) + 1)*e^(-4*b*x - 4*a) - (e^(4*b*x + 16*a) + 12*e^(2*b*x + 14*a))*e^(-12*a) - 64*log(abs(e^(2*b*x + 2*a) - 1)))/b","B",0
112,1,24,0,0.134757," ","integrate(coth(b*x+a)*csch(b*x+a),x, algorithm=""giac"")","-\frac{2 \, e^{\left(b x + a\right)}}{b {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}}"," ",0,"-2*e^(b*x + a)/(b*(e^(2*b*x + 2*a) - 1))","B",0
113,1,27,0,0.143936," ","integrate(coth(b*x+a)*csch(b*x+a)^2,x, algorithm=""giac"")","-\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{b {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}}"," ",0,"-2*e^(2*b*x + 2*a)/(b*(e^(2*b*x + 2*a) - 1)^2)","B",0
114,0,0,0,0.000000," ","integrate(coth(b*x+a)*csch(b*x+a)^n,x, algorithm=""giac"")","\int \operatorname{csch}\left(b x + a\right)^{n} \coth\left(b x + a\right)\,{d x}"," ",0,"integrate(csch(b*x + a)^n*coth(b*x + a), x)","F",0
115,1,31,0,0.152013," ","integrate(coth(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, e^{\left(4 \, b x + 4 \, a\right)} + 1\right)}}{3 \, b {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{3}}"," ",0,"-2/3*(3*e^(4*b*x + 4*a) + 1)/(b*(e^(2*b*x + 2*a) - 1)^3)","B",0
116,1,37,0,0.217187," ","integrate(coth(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""giac"")","-\frac{2 \, {\left(e^{\left(6 \, b x + 6 \, a\right)} + e^{\left(2 \, b x + 2 \, a\right)}\right)}}{b {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{4}}"," ",0,"-2*(e^(6*b*x + 6*a) + e^(2*b*x + 2*a))/(b*(e^(2*b*x + 2*a) - 1)^4)","B",0
117,0,0,0,0.000000," ","integrate(coth(b*x+a)^n*csch(b*x+a)^2,x, algorithm=""giac"")","\int \coth\left(b x + a\right)^{n} \operatorname{csch}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(coth(b*x + a)^n*csch(b*x + a)^2, x)","F",0
118,1,49,0,0.148085," ","integrate(coth(b*x+a)^3*csch(b*x+a),x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, e^{\left(5 \, b x + 5 \, a\right)} - 2 \, e^{\left(3 \, b x + 3 \, a\right)} + 3 \, e^{\left(b x + a\right)}\right)}}{3 \, b {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{3}}"," ",0,"-2/3*(3*e^(5*b*x + 5*a) - 2*e^(3*b*x + 3*a) + 3*e^(b*x + a))/(b*(e^(2*b*x + 2*a) - 1)^3)","A",0
119,1,52,0,0.154006," ","integrate(coth(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""giac"")","-\frac{8 \, {\left(5 \, e^{\left(7 \, b x + 7 \, a\right)} + 2 \, e^{\left(5 \, b x + 5 \, a\right)} + 5 \, e^{\left(3 \, b x + 3 \, a\right)}\right)}}{15 \, b {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{5}}"," ",0,"-8/15*(5*e^(7*b*x + 7*a) + 2*e^(5*b*x + 5*a) + 5*e^(3*b*x + 3*a))/(b*(e^(2*b*x + 2*a) - 1)^5)","A",0
120,0,0,0,0.000000," ","integrate(coth(b*x+a)^3*csch(b*x+a)^n,x, algorithm=""giac"")","\int \operatorname{csch}\left(b x + a\right)^{n} \coth\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(csch(b*x + a)^n*coth(b*x + a)^3, x)","F",0
121,1,58,0,0.132737," ","integrate(coth(b*x+a)^2*csch(b*x+a),x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(e^{\left(3 \, b x + 3 \, a\right)} + e^{\left(b x + a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}} + \log\left(e^{\left(b x + a\right)} + 1\right) - \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{2 \, b}"," ",0,"-1/2*(2*(e^(3*b*x + 3*a) + e^(b*x + a))/(e^(2*b*x + 2*a) - 1)^2 + log(e^(b*x + a) + 1) - log(abs(e^(b*x + a) - 1)))/b","A",0
122,1,80,0,0.157697," ","integrate(coth(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(e^{\left(7 \, b x + 7 \, a\right)} + 7 \, e^{\left(5 \, b x + 5 \, a\right)} + 7 \, e^{\left(3 \, b x + 3 \, a\right)} + e^{\left(b x + a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{4}} - \log\left(e^{\left(b x + a\right)} + 1\right) + \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{8 \, b}"," ",0,"-1/8*(2*(e^(7*b*x + 7*a) + 7*e^(5*b*x + 5*a) + 7*e^(3*b*x + 3*a) + e^(b*x + a))/(e^(2*b*x + 2*a) - 1)^4 - log(e^(b*x + a) + 1) + log(abs(e^(b*x + a) - 1)))/b","A",0
123,1,86,0,0.160372," ","integrate(coth(b*x+a)^4*csch(b*x+a),x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(5 \, e^{\left(7 \, b x + 7 \, a\right)} + 3 \, e^{\left(5 \, b x + 5 \, a\right)} + 3 \, e^{\left(3 \, b x + 3 \, a\right)} + 5 \, e^{\left(b x + a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{4}} + 3 \, \log\left(e^{\left(b x + a\right)} + 1\right) - 3 \, \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{8 \, b}"," ",0,"-1/8*(2*(5*e^(7*b*x + 7*a) + 3*e^(5*b*x + 5*a) + 3*e^(3*b*x + 3*a) + 5*e^(b*x + a))/(e^(2*b*x + 2*a) - 1)^4 + 3*log(e^(b*x + a) + 1) - 3*log(abs(e^(b*x + a) - 1)))/b","A",0
124,1,30,0,0.132348," ","integrate(coth(x)^2*csch(x)^4,x, algorithm=""giac"")","-\frac{4 \, {\left(15 \, e^{\left(6 \, x\right)} + 5 \, e^{\left(4 \, x\right)} + 5 \, e^{\left(2 \, x\right)} - 1\right)}}{15 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{5}}"," ",0,"-4/15*(15*e^(6*x) + 5*e^(4*x) + 5*e^(2*x) - 1)/(e^(2*x) - 1)^5","B",0
125,1,29,0,0.141331," ","integrate(coth(x)^3*csch(x)^4,x, algorithm=""giac"")","-\frac{4 \, {\left(3 \, e^{\left(8 \, x\right)} + 2 \, e^{\left(6 \, x\right)} + 3 \, e^{\left(4 \, x\right)}\right)}}{3 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{6}}"," ",0,"-4/3*(3*e^(8*x) + 2*e^(6*x) + 3*e^(4*x))/(e^(2*x) - 1)^6","B",0
126,0,0,0,0.000000," ","integrate(coth(x)^n*csch(x)^4,x, algorithm=""giac"")","\int \coth\left(x\right)^{n} \operatorname{csch}\left(x\right)^{4}\,{d x}"," ",0,"integrate(coth(x)^n*csch(x)^4, x)","F",0
127,1,71,0,0.134634," ","integrate(coth(x)^4*csch(x)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{5} + 32 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - 48 \, e^{\left(-x\right)} - 48 \, e^{x}}{24 \, {\left({\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 4\right)}^{3}} + \frac{1}{32} \, \log\left(e^{\left(-x\right)} + e^{x} + 2\right) - \frac{1}{32} \, \log\left(e^{\left(-x\right)} + e^{x} - 2\right)"," ",0,"-1/24*(3*(e^(-x) + e^x)^5 + 32*(e^(-x) + e^x)^3 - 48*e^(-x) - 48*e^x)/((e^(-x) + e^x)^2 - 4)^3 + 1/32*log(e^(-x) + e^x + 2) - 1/32*log(e^(-x) + e^x - 2)","B",0
128,1,48,0,0.116803," ","integrate(coth(x)^4*csch(x)^6,x, algorithm=""giac"")","-\frac{16 \, {\left(210 \, e^{\left(12 \, x\right)} + 315 \, e^{\left(10 \, x\right)} + 441 \, e^{\left(8 \, x\right)} + 126 \, e^{\left(6 \, x\right)} + 36 \, e^{\left(4 \, x\right)} - 9 \, e^{\left(2 \, x\right)} + 1\right)}}{315 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{9}}"," ",0,"-16/315*(210*e^(12*x) + 315*e^(10*x) + 441*e^(8*x) + 126*e^(6*x) + 36*e^(4*x) - 9*e^(2*x) + 1)/(e^(2*x) - 1)^9","B",0
129,1,47,0,0.125261," ","integrate(coth(6*x)^5*csch(6*x),x, algorithm=""giac"")","-\frac{15 \, {\left(e^{\left(6 \, x\right)} - e^{\left(-6 \, x\right)}\right)}^{4} + 40 \, {\left(e^{\left(6 \, x\right)} - e^{\left(-6 \, x\right)}\right)}^{2} + 48}{45 \, {\left(e^{\left(6 \, x\right)} - e^{\left(-6 \, x\right)}\right)}^{5}}"," ",0,"-1/45*(15*(e^(6*x) - e^(-6*x))^4 + 40*(e^(6*x) - e^(-6*x))^2 + 48)/(e^(6*x) - e^(-6*x))^5","B",0
130,1,54,0,0.134052," ","integrate(coth(x)^7*csch(x)^3,x, algorithm=""giac"")","\frac{8 \, {\left(105 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{6} + 756 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{4} + 2160 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 2240\right)}}{315 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{9}}"," ",0,"8/315*(105*(e^(-x) - e^x)^6 + 756*(e^(-x) - e^x)^4 + 2160*(e^(-x) - e^x)^2 + 2240)/(e^(-x) - e^x)^9","B",0
131,1,71,0,0.118787," ","integrate(sinh(b*x+a)*sinh(b*x+c),x, algorithm=""giac"")","-\frac{2 \, b x {\left(e^{\left(2 \, a\right)} + e^{\left(2 \, c\right)}\right)} e^{\left(-a - c\right)} - {\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(2 \, b x + 2 \, c\right)} - 1\right)} e^{\left(-2 \, b x - a - c\right)} - e^{\left(2 \, b x + a + c\right)}}{8 \, b}"," ",0,"-1/8*(2*b*x*(e^(2*a) + e^(2*c))*e^(-a - c) - (e^(2*b*x + 2*a) + e^(2*b*x + 2*c) - 1)*e^(-2*b*x - a - c) - e^(2*b*x + a + c))/b","B",0
132,1,78,0,0.114927," ","integrate(-sinh(b*x-c)*sinh(b*x+a),x, algorithm=""giac"")","\frac{2 \, b x {\left(e^{\left(2 \, a + 2 \, c\right)} + 1\right)} e^{\left(-a - c\right)} - {\left(e^{\left(2 \, b x\right)} + e^{\left(2 \, b x + 2 \, a + 2 \, c\right)} - e^{\left(2 \, c\right)}\right)} e^{\left(-2 \, b x - a - c\right)} - e^{\left(2 \, b x + a - c\right)}}{8 \, b}"," ",0,"1/8*(2*b*x*(e^(2*a + 2*c) + 1)*e^(-a - c) - (e^(2*b*x) + e^(2*b*x + 2*a + 2*c) - e^(2*c))*e^(-2*b*x - a - c) - e^(2*b*x + a - c))/b","B",0
133,1,69,0,0.114224," ","integrate(cosh(b*x+a)*cosh(b*x+c),x, algorithm=""giac"")","\frac{2 \, b x {\left(e^{\left(2 \, a\right)} + e^{\left(2 \, c\right)}\right)} e^{\left(-a - c\right)} - {\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(2 \, b x + 2 \, c\right)} + 1\right)} e^{\left(-2 \, b x - a - c\right)} + e^{\left(2 \, b x + a + c\right)}}{8 \, b}"," ",0,"1/8*(2*b*x*(e^(2*a) + e^(2*c))*e^(-a - c) - (e^(2*b*x + 2*a) + e^(2*b*x + 2*c) + 1)*e^(-2*b*x - a - c) + e^(2*b*x + a + c))/b","B",0
134,1,74,0,0.132819," ","integrate(cosh(b*x-c)*cosh(b*x+a),x, algorithm=""giac"")","\frac{2 \, b x {\left(e^{\left(2 \, a + 2 \, c\right)} + 1\right)} e^{\left(-a - c\right)} - {\left(e^{\left(2 \, b x\right)} + e^{\left(2 \, b x + 2 \, a + 2 \, c\right)} + e^{\left(2 \, c\right)}\right)} e^{\left(-2 \, b x - a - c\right)} + e^{\left(2 \, b x + a - c\right)}}{8 \, b}"," ",0,"1/8*(2*b*x*(e^(2*a + 2*c) + 1)*e^(-a - c) - (e^(2*b*x) + e^(2*b*x + 2*a + 2*c) + e^(2*c))*e^(-2*b*x - a - c) + e^(2*b*x + a - c))/b","B",0
135,1,95,0,0.137591," ","integrate(tanh(b*x+a)*tanh(b*x+c),x, algorithm=""giac"")","\frac{b x - \frac{{\left(e^{\left(4 \, a\right)} + e^{\left(2 \, a + 2 \, c\right)}\right)} \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{e^{\left(4 \, a\right)} - e^{\left(2 \, a + 2 \, c\right)}} + \frac{{\left(e^{\left(2 \, a + 2 \, c\right)} + e^{\left(4 \, c\right)}\right)} \log\left(e^{\left(2 \, b x + 2 \, c\right)} + 1\right)}{e^{\left(2 \, a + 2 \, c\right)} - e^{\left(4 \, c\right)}}}{b}"," ",0,"(b*x - (e^(4*a) + e^(2*a + 2*c))*log(e^(2*b*x + 2*a) + 1)/(e^(4*a) - e^(2*a + 2*c)) + (e^(2*a + 2*c) + e^(4*c))*log(e^(2*b*x + 2*c) + 1)/(e^(2*a + 2*c) - e^(4*c)))/b","B",0
136,1,86,0,0.188588," ","integrate(-tanh(b*x-c)*tanh(b*x+a),x, algorithm=""giac"")","-\frac{b x + \frac{{\left(e^{\left(2 \, a + 2 \, c\right)} + 1\right)} \log\left(e^{\left(2 \, b x\right)} + e^{\left(2 \, c\right)}\right)}{e^{\left(2 \, a + 2 \, c\right)} - 1} + \frac{{\left(e^{\left(2 \, a\right)} + e^{\left(4 \, a + 2 \, c\right)}\right)} \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{e^{\left(2 \, a\right)} - e^{\left(4 \, a + 2 \, c\right)}}}{b}"," ",0,"-(b*x + (e^(2*a + 2*c) + 1)*log(e^(2*b*x) + e^(2*c))/(e^(2*a + 2*c) - 1) + (e^(2*a) + e^(4*a + 2*c))*log(e^(2*b*x + 2*a) + 1)/(e^(2*a) - e^(4*a + 2*c)))/b","B",0
137,1,97,0,0.157414," ","integrate(coth(b*x+a)*coth(b*x+c),x, algorithm=""giac"")","\frac{b x - \frac{{\left(e^{\left(4 \, a\right)} + e^{\left(2 \, a + 2 \, c\right)}\right)} \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{e^{\left(4 \, a\right)} - e^{\left(2 \, a + 2 \, c\right)}} + \frac{{\left(e^{\left(2 \, a + 2 \, c\right)} + e^{\left(4 \, c\right)}\right)} \log\left({\left| e^{\left(2 \, b x + 2 \, c\right)} - 1 \right|}\right)}{e^{\left(2 \, a + 2 \, c\right)} - e^{\left(4 \, c\right)}}}{b}"," ",0,"(b*x - (e^(4*a) + e^(2*a + 2*c))*log(abs(e^(2*b*x + 2*a) - 1))/(e^(4*a) - e^(2*a + 2*c)) + (e^(2*a + 2*c) + e^(4*c))*log(abs(e^(2*b*x + 2*c) - 1))/(e^(2*a + 2*c) - e^(4*c)))/b","B",0
138,1,90,0,0.144037," ","integrate(-coth(b*x-c)*coth(b*x+a),x, algorithm=""giac"")","-\frac{b x + \frac{{\left(e^{\left(2 \, a + 2 \, c\right)} + 1\right)} \log\left({\left| e^{\left(2 \, b x\right)} - e^{\left(2 \, c\right)} \right|}\right)}{e^{\left(2 \, a + 2 \, c\right)} - 1} + \frac{{\left(e^{\left(2 \, a\right)} + e^{\left(4 \, a + 2 \, c\right)}\right)} \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{e^{\left(2 \, a\right)} - e^{\left(4 \, a + 2 \, c\right)}}}{b}"," ",0,"-(b*x + (e^(2*a + 2*c) + 1)*log(abs(e^(2*b*x) - e^(2*c)))/(e^(2*a + 2*c) - 1) + (e^(2*a) + e^(4*a + 2*c))*log(abs(e^(2*b*x + 2*a) - 1))/(e^(2*a) - e^(4*a + 2*c)))/b","B",0
139,1,79,0,0.131214," ","integrate(sech(b*x+a)*sech(b*x+c),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{e^{\left(3 \, a + c\right)} \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{e^{\left(4 \, a\right)} - e^{\left(2 \, a + 2 \, c\right)}} - \frac{e^{\left(a + 3 \, c\right)} \log\left(e^{\left(2 \, b x + 2 \, c\right)} + 1\right)}{e^{\left(2 \, a + 2 \, c\right)} - e^{\left(4 \, c\right)}}\right)}}{b}"," ",0,"2*(e^(3*a + c)*log(e^(2*b*x + 2*a) + 1)/(e^(4*a) - e^(2*a + 2*c)) - e^(a + 3*c)*log(e^(2*b*x + 2*c) + 1)/(e^(2*a + 2*c) - e^(4*c)))/b","B",0
140,1,70,0,0.123027," ","integrate(sech(b*x-c)*sech(b*x+a),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{e^{\left(a + c\right)} \log\left(e^{\left(2 \, b x\right)} + e^{\left(2 \, c\right)}\right)}{e^{\left(2 \, a + 2 \, c\right)} - 1} + \frac{e^{\left(3 \, a + c\right)} \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{e^{\left(2 \, a\right)} - e^{\left(4 \, a + 2 \, c\right)}}\right)}}{b}"," ",0,"-2*(e^(a + c)*log(e^(2*b*x) + e^(2*c))/(e^(2*a + 2*c) - 1) + e^(3*a + c)*log(e^(2*b*x + 2*a) + 1)/(e^(2*a) - e^(4*a + 2*c)))/b","B",0
141,1,81,0,0.122600," ","integrate(csch(b*x+a)*csch(b*x+c),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{e^{\left(3 \, a + c\right)} \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{e^{\left(4 \, a\right)} - e^{\left(2 \, a + 2 \, c\right)}} - \frac{e^{\left(a + 3 \, c\right)} \log\left({\left| e^{\left(2 \, b x + 2 \, c\right)} - 1 \right|}\right)}{e^{\left(2 \, a + 2 \, c\right)} - e^{\left(4 \, c\right)}}\right)}}{b}"," ",0,"-2*(e^(3*a + c)*log(abs(e^(2*b*x + 2*a) - 1))/(e^(4*a) - e^(2*a + 2*c)) - e^(a + 3*c)*log(abs(e^(2*b*x + 2*c) - 1))/(e^(2*a + 2*c) - e^(4*c)))/b","B",0
142,1,74,0,0.142577," ","integrate(-csch(b*x-c)*csch(b*x+a),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{e^{\left(a + c\right)} \log\left({\left| e^{\left(2 \, b x\right)} - e^{\left(2 \, c\right)} \right|}\right)}{e^{\left(2 \, a + 2 \, c\right)} - 1} + \frac{e^{\left(3 \, a + c\right)} \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{e^{\left(2 \, a\right)} - e^{\left(4 \, a + 2 \, c\right)}}\right)}}{b}"," ",0,"-2*(e^(a + c)*log(abs(e^(2*b*x) - e^(2*c)))/(e^(2*a + 2*c) - 1) + e^(3*a + c)*log(abs(e^(2*b*x + 2*a) - 1))/(e^(2*a) - e^(4*a + 2*c)))/b","B",0
143,1,49,0,0.133622," ","integrate(sinh(b*x+a)*tanh(b*x+c),x, algorithm=""giac"")","-\frac{2 \, {\left(e^{\left(2 \, a\right)} + e^{\left(2 \, c\right)}\right)} \arctan\left(e^{\left(b x + c\right)}\right) e^{\left(-a - c\right)} - e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"-1/2*(2*(e^(2*a) + e^(2*c))*arctan(e^(b*x + c))*e^(-a - c) - e^(b*x + a) + e^(-b*x - a))/b","A",0
144,1,88,0,0.150831," ","integrate(sinh(b*x+a)*tanh(b*x+c)^2,x, algorithm=""giac"")","-\frac{2 \, {\left(e^{\left(2 \, a\right)} - e^{\left(2 \, c\right)}\right)} \arctan\left(e^{\left(b x + c\right)}\right) e^{\left(-a - c\right)} - \frac{{\left(2 \, e^{\left(2 \, b x + 2 \, a\right)} + 3 \, e^{\left(2 \, b x + 2 \, c\right)} + 1\right)} e^{\left(-a\right)}}{e^{\left(3 \, b x + 2 \, c\right)} + e^{\left(b x\right)}} - e^{\left(b x + a\right)}}{2 \, b}"," ",0,"-1/2*(2*(e^(2*a) - e^(2*c))*arctan(e^(b*x + c))*e^(-a - c) - (2*e^(2*b*x + 2*a) + 3*e^(2*b*x + 2*c) + 1)*e^(-a)/(e^(3*b*x + 2*c) + e^(b*x)) - e^(b*x + a))/b","A",0
145,1,112,0,0.143121," ","integrate(sinh(b*x+a)*tanh(b*x+c)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(e^{\left(2 \, a\right)} + e^{\left(2 \, c\right)}\right)} \arctan\left(e^{\left(b x + c\right)}\right) e^{\left(-a - c\right)} - \frac{{\left(3 \, e^{\left(3 \, b x + 2 \, a + 2 \, c\right)} - e^{\left(3 \, b x + 4 \, c\right)} + e^{\left(b x + 2 \, a\right)} - 3 \, e^{\left(b x + 2 \, c\right)}\right)} e^{\left(-a\right)}}{{\left(e^{\left(2 \, b x + 2 \, c\right)} + 1\right)}^{2}} - e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"-1/2*(3*(e^(2*a) + e^(2*c))*arctan(e^(b*x + c))*e^(-a - c) - (3*e^(3*b*x + 2*a + 2*c) - e^(3*b*x + 4*c) + e^(b*x + 2*a) - 3*e^(b*x + 2*c))*e^(-a)/(e^(2*b*x + 2*c) + 1)^2 - e^(b*x + a) + e^(-b*x - a))/b","A",0
146,1,87,0,0.123991," ","integrate(coth(b*x+c)*sinh(b*x+a),x, algorithm=""giac"")","-\frac{{\left(e^{\left(2 \, a + c\right)} - e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left(e^{\left(b x + c\right)} + 1\right) - {\left(e^{\left(2 \, a + c\right)} - e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left({\left| e^{\left(b x + c\right)} - 1 \right|}\right) - e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"-1/2*((e^(2*a + c) - e^(3*c))*e^(-a - 2*c)*log(e^(b*x + c) + 1) - (e^(2*a + c) - e^(3*c))*e^(-a - 2*c)*log(abs(e^(b*x + c) - 1)) - e^(b*x + a) + e^(-b*x - a))/b","B",0
147,1,121,0,0.138427," ","integrate(coth(b*x+c)^2*sinh(b*x+a),x, algorithm=""giac"")","-\frac{{\left(e^{\left(2 \, a + c\right)} + e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left(e^{\left(b x + c\right)} + 1\right) - {\left(e^{\left(2 \, a + c\right)} + e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left({\left| e^{\left(b x + c\right)} - 1 \right|}\right) + \frac{{\left(2 \, e^{\left(2 \, b x + 2 \, a\right)} - 3 \, e^{\left(2 \, b x + 2 \, c\right)} + 1\right)} e^{\left(-a\right)}}{e^{\left(3 \, b x + 2 \, c\right)} - e^{\left(b x\right)}} - e^{\left(b x + a\right)}}{2 \, b}"," ",0,"-1/2*((e^(2*a + c) + e^(3*c))*e^(-a - 2*c)*log(e^(b*x + c) + 1) - (e^(2*a + c) + e^(3*c))*e^(-a - 2*c)*log(abs(e^(b*x + c) - 1)) + (2*e^(2*b*x + 2*a) - 3*e^(2*b*x + 2*c) + 1)*e^(-a)/(e^(3*b*x + 2*c) - e^(b*x)) - e^(b*x + a))/b","B",0
148,1,153,0,0.160487," ","integrate(coth(b*x+c)^3*sinh(b*x+a),x, algorithm=""giac"")","-\frac{3 \, {\left(e^{\left(2 \, a + c\right)} - e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left(e^{\left(b x + c\right)} + 1\right) - 3 \, {\left(e^{\left(2 \, a + c\right)} - e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left({\left| e^{\left(b x + c\right)} - 1 \right|}\right) + \frac{2 \, {\left(3 \, e^{\left(3 \, b x + 2 \, a + 2 \, c\right)} + e^{\left(3 \, b x + 4 \, c\right)} - e^{\left(b x + 2 \, a\right)} - 3 \, e^{\left(b x + 2 \, c\right)}\right)} e^{\left(-a\right)}}{{\left(e^{\left(2 \, b x + 2 \, c\right)} - 1\right)}^{2}} - 2 \, e^{\left(b x + a\right)} + 2 \, e^{\left(-b x - a\right)}}{4 \, b}"," ",0,"-1/4*(3*(e^(2*a + c) - e^(3*c))*e^(-a - 2*c)*log(e^(b*x + c) + 1) - 3*(e^(2*a + c) - e^(3*c))*e^(-a - 2*c)*log(abs(e^(b*x + c) - 1)) + 2*(3*e^(3*b*x + 2*a + 2*c) + e^(3*b*x + 4*c) - e^(b*x + 2*a) - 3*e^(b*x + 2*c))*e^(-a)/(e^(2*b*x + 2*c) - 1)^2 - 2*e^(b*x + a) + 2*e^(-b*x - a))/b","B",0
149,1,49,0,0.110986," ","integrate(sech(b*x+c)*sinh(b*x+a),x, algorithm=""giac"")","-\frac{2 \, b x e^{\left(-a + c\right)} - {\left(e^{\left(2 \, a + c\right)} + e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left(e^{\left(2 \, b x + 2 \, c\right)} + 1\right)}{2 \, b}"," ",0,"-1/2*(2*b*x*e^(-a + c) - (e^(2*a + c) + e^(3*c))*e^(-a - 2*c)*log(e^(2*b*x + 2*c) + 1))/b","A",0
150,1,68,0,0.116535," ","integrate(sech(b*x+c)^2*sinh(b*x+a),x, algorithm=""giac"")","\frac{{\left(e^{\left(2 \, a\right)} - e^{\left(2 \, c\right)}\right)} \arctan\left(e^{\left(b x + c\right)}\right) e^{\left(-a - c\right)} - \frac{{\left(e^{\left(b x + 2 \, a\right)} + e^{\left(b x + 2 \, c\right)}\right)} e^{\left(-a\right)}}{e^{\left(2 \, b x + 2 \, c\right)} + 1}}{b}"," ",0,"((e^(2*a) - e^(2*c))*arctan(e^(b*x + c))*e^(-a - c) - (e^(b*x + 2*a) + e^(b*x + 2*c))*e^(-a)/(e^(2*b*x + 2*c) + 1))/b","A",0
151,1,51,0,0.141976," ","integrate(sech(b*x+c)^3*sinh(b*x+a),x, algorithm=""giac"")","-\frac{{\left(2 \, e^{\left(2 \, b x + 2 \, a + 2 \, c\right)} + e^{\left(2 \, a\right)} - e^{\left(2 \, c\right)}\right)} e^{\left(-a - c\right)}}{b {\left(e^{\left(2 \, b x + 2 \, c\right)} + 1\right)}^{2}}"," ",0,"-(2*e^(2*b*x + 2*a + 2*c) + e^(2*a) - e^(2*c))*e^(-a - c)/(b*(e^(2*b*x + 2*c) + 1)^2)","A",0
152,1,51,0,0.113604," ","integrate(csch(b*x+c)*sinh(b*x+a),x, algorithm=""giac"")","\frac{2 \, b x e^{\left(-a + c\right)} + {\left(e^{\left(2 \, a + c\right)} - e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left({\left| e^{\left(2 \, b x + 2 \, c\right)} - 1 \right|}\right)}{2 \, b}"," ",0,"1/2*(2*b*x*e^(-a + c) + (e^(2*a + c) - e^(3*c))*e^(-a - 2*c)*log(abs(e^(2*b*x + 2*c) - 1)))/b","A",0
153,1,104,0,0.139787," ","integrate(csch(b*x+c)^2*sinh(b*x+a),x, algorithm=""giac"")","-\frac{{\left(e^{\left(2 \, a + c\right)} + e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left(e^{\left(b x + c\right)} + 1\right) - {\left(e^{\left(2 \, a + c\right)} + e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left({\left| e^{\left(b x + c\right)} - 1 \right|}\right) + \frac{2 \, {\left(e^{\left(b x + 2 \, a\right)} - e^{\left(b x + 2 \, c\right)}\right)} e^{\left(-a\right)}}{e^{\left(2 \, b x + 2 \, c\right)} - 1}}{2 \, b}"," ",0,"-1/2*((e^(2*a + c) + e^(3*c))*e^(-a - 2*c)*log(e^(b*x + c) + 1) - (e^(2*a + c) + e^(3*c))*e^(-a - 2*c)*log(abs(e^(b*x + c) - 1)) + 2*(e^(b*x + 2*a) - e^(b*x + 2*c))*e^(-a)/(e^(2*b*x + 2*c) - 1))/b","B",0
154,1,53,0,0.119395," ","integrate(csch(b*x+c)^3*sinh(b*x+a),x, algorithm=""giac"")","-\frac{{\left(2 \, e^{\left(2 \, b x + 2 \, a + 2 \, c\right)} - e^{\left(2 \, a\right)} - e^{\left(2 \, c\right)}\right)} e^{\left(-a - c\right)}}{b {\left(e^{\left(2 \, b x + 2 \, c\right)} - 1\right)}^{2}}"," ",0,"-(2*e^(2*b*x + 2*a + 2*c) - e^(2*a) - e^(2*c))*e^(-a - c)/(b*(e^(2*b*x + 2*c) - 1)^2)","A",0
155,1,53,0,0.123194," ","integrate(cosh(b*x+a)*tanh(b*x+c),x, algorithm=""giac"")","-\frac{2 \, {\left(e^{\left(2 \, a\right)} - e^{\left(2 \, c\right)}\right)} \arctan\left(e^{\left(b x + c\right)}\right) e^{\left(-a - c\right)} - e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"-1/2*(2*(e^(2*a) - e^(2*c))*arctan(e^(b*x + c))*e^(-a - c) - e^(b*x + a) - e^(-b*x - a))/b","A",0
156,1,86,0,0.131756," ","integrate(cosh(b*x+a)*tanh(b*x+c)^2,x, algorithm=""giac"")","-\frac{2 \, {\left(e^{\left(2 \, a\right)} + e^{\left(2 \, c\right)}\right)} \arctan\left(e^{\left(b x + c\right)}\right) e^{\left(-a - c\right)} - \frac{{\left(2 \, e^{\left(2 \, b x + 2 \, a\right)} - 3 \, e^{\left(2 \, b x + 2 \, c\right)} - 1\right)} e^{\left(-a\right)}}{e^{\left(3 \, b x + 2 \, c\right)} + e^{\left(b x\right)}} - e^{\left(b x + a\right)}}{2 \, b}"," ",0,"-1/2*(2*(e^(2*a) + e^(2*c))*arctan(e^(b*x + c))*e^(-a - c) - (2*e^(2*b*x + 2*a) - 3*e^(2*b*x + 2*c) - 1)*e^(-a)/(e^(3*b*x + 2*c) + e^(b*x)) - e^(b*x + a))/b","A",0
157,1,114,0,0.143915," ","integrate(cosh(b*x+a)*tanh(b*x+c)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(e^{\left(2 \, a\right)} - e^{\left(2 \, c\right)}\right)} \arctan\left(e^{\left(b x + c\right)}\right) e^{\left(-a - c\right)} - \frac{{\left(3 \, e^{\left(3 \, b x + 2 \, a + 2 \, c\right)} + e^{\left(3 \, b x + 4 \, c\right)} + e^{\left(b x + 2 \, a\right)} + 3 \, e^{\left(b x + 2 \, c\right)}\right)} e^{\left(-a\right)}}{{\left(e^{\left(2 \, b x + 2 \, c\right)} + 1\right)}^{2}} - e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"-1/2*(3*(e^(2*a) - e^(2*c))*arctan(e^(b*x + c))*e^(-a - c) - (3*e^(3*b*x + 2*a + 2*c) + e^(3*b*x + 4*c) + e^(b*x + 2*a) + 3*e^(b*x + 2*c))*e^(-a)/(e^(2*b*x + 2*c) + 1)^2 - e^(b*x + a) - e^(-b*x - a))/b","A",0
158,1,85,0,0.121325," ","integrate(cosh(b*x+a)*coth(b*x+c),x, algorithm=""giac"")","-\frac{{\left(e^{\left(2 \, a + c\right)} + e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left(e^{\left(b x + c\right)} + 1\right) - {\left(e^{\left(2 \, a + c\right)} + e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left({\left| e^{\left(b x + c\right)} - 1 \right|}\right) - e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"-1/2*((e^(2*a + c) + e^(3*c))*e^(-a - 2*c)*log(e^(b*x + c) + 1) - (e^(2*a + c) + e^(3*c))*e^(-a - 2*c)*log(abs(e^(b*x + c) - 1)) - e^(b*x + a) - e^(-b*x - a))/b","B",0
159,1,125,0,0.146888," ","integrate(cosh(b*x+a)*coth(b*x+c)^2,x, algorithm=""giac"")","-\frac{{\left(e^{\left(2 \, a + c\right)} - e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left(e^{\left(b x + c\right)} + 1\right) - {\left(e^{\left(2 \, a + c\right)} - e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left({\left| e^{\left(b x + c\right)} - 1 \right|}\right) + \frac{{\left(2 \, e^{\left(2 \, b x + 2 \, a\right)} + 3 \, e^{\left(2 \, b x + 2 \, c\right)} - 1\right)} e^{\left(-a\right)}}{e^{\left(3 \, b x + 2 \, c\right)} - e^{\left(b x\right)}} - e^{\left(b x + a\right)}}{2 \, b}"," ",0,"-1/2*((e^(2*a + c) - e^(3*c))*e^(-a - 2*c)*log(e^(b*x + c) + 1) - (e^(2*a + c) - e^(3*c))*e^(-a - 2*c)*log(abs(e^(b*x + c) - 1)) + (2*e^(2*b*x + 2*a) + 3*e^(2*b*x + 2*c) - 1)*e^(-a)/(e^(3*b*x + 2*c) - e^(b*x)) - e^(b*x + a))/b","B",0
160,1,151,0,0.159481," ","integrate(cosh(b*x+a)*coth(b*x+c)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(e^{\left(2 \, a + c\right)} + e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left(e^{\left(b x + c\right)} + 1\right) - 3 \, {\left(e^{\left(2 \, a + c\right)} + e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left({\left| e^{\left(b x + c\right)} - 1 \right|}\right) + \frac{2 \, {\left(3 \, e^{\left(3 \, b x + 2 \, a + 2 \, c\right)} - e^{\left(3 \, b x + 4 \, c\right)} - e^{\left(b x + 2 \, a\right)} + 3 \, e^{\left(b x + 2 \, c\right)}\right)} e^{\left(-a\right)}}{{\left(e^{\left(2 \, b x + 2 \, c\right)} - 1\right)}^{2}} - 2 \, e^{\left(b x + a\right)} - 2 \, e^{\left(-b x - a\right)}}{4 \, b}"," ",0,"-1/4*(3*(e^(2*a + c) + e^(3*c))*e^(-a - 2*c)*log(e^(b*x + c) + 1) - 3*(e^(2*a + c) + e^(3*c))*e^(-a - 2*c)*log(abs(e^(b*x + c) - 1)) + 2*(3*e^(3*b*x + 2*a + 2*c) - e^(3*b*x + 4*c) - e^(b*x + 2*a) + 3*e^(b*x + 2*c))*e^(-a)/(e^(2*b*x + 2*c) - 1)^2 - 2*e^(b*x + a) - 2*e^(-b*x - a))/b","B",0
161,1,50,0,0.116042," ","integrate(cosh(b*x+a)*sech(b*x+c),x, algorithm=""giac"")","\frac{2 \, b x e^{\left(-a + c\right)} + {\left(e^{\left(2 \, a + c\right)} - e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left(e^{\left(2 \, b x + 2 \, c\right)} + 1\right)}{2 \, b}"," ",0,"1/2*(2*b*x*e^(-a + c) + (e^(2*a + c) - e^(3*c))*e^(-a - 2*c)*log(e^(2*b*x + 2*c) + 1))/b","A",0
162,1,68,0,0.138216," ","integrate(cosh(b*x+a)*sech(b*x+c)^2,x, algorithm=""giac"")","\frac{{\left(e^{\left(2 \, a\right)} + e^{\left(2 \, c\right)}\right)} \arctan\left(e^{\left(b x + c\right)}\right) e^{\left(-a - c\right)} - \frac{{\left(e^{\left(b x + 2 \, a\right)} - e^{\left(b x + 2 \, c\right)}\right)} e^{\left(-a\right)}}{e^{\left(2 \, b x + 2 \, c\right)} + 1}}{b}"," ",0,"((e^(2*a) + e^(2*c))*arctan(e^(b*x + c))*e^(-a - c) - (e^(b*x + 2*a) - e^(b*x + 2*c))*e^(-a)/(e^(2*b*x + 2*c) + 1))/b","A",0
163,1,49,0,0.118312," ","integrate(cosh(b*x+a)*sech(b*x+c)^3,x, algorithm=""giac"")","-\frac{{\left(2 \, e^{\left(2 \, b x + 2 \, a + 2 \, c\right)} + e^{\left(2 \, a\right)} + e^{\left(2 \, c\right)}\right)} e^{\left(-a - c\right)}}{b {\left(e^{\left(2 \, b x + 2 \, c\right)} + 1\right)}^{2}}"," ",0,"-(2*e^(2*b*x + 2*a + 2*c) + e^(2*a) + e^(2*c))*e^(-a - c)/(b*(e^(2*b*x + 2*c) + 1)^2)","A",0
164,1,50,0,0.133968," ","integrate(cosh(b*x+a)*csch(b*x+c),x, algorithm=""giac"")","-\frac{2 \, b x e^{\left(-a + c\right)} - {\left(e^{\left(2 \, a + c\right)} + e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left({\left| e^{\left(2 \, b x + 2 \, c\right)} - 1 \right|}\right)}{2 \, b}"," ",0,"-1/2*(2*b*x*e^(-a + c) - (e^(2*a + c) + e^(3*c))*e^(-a - 2*c)*log(abs(e^(2*b*x + 2*c) - 1)))/b","A",0
165,1,106,0,0.143048," ","integrate(cosh(b*x+a)*csch(b*x+c)^2,x, algorithm=""giac"")","-\frac{{\left(e^{\left(2 \, a + c\right)} - e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left(e^{\left(b x + c\right)} + 1\right) - {\left(e^{\left(2 \, a + c\right)} - e^{\left(3 \, c\right)}\right)} e^{\left(-a - 2 \, c\right)} \log\left({\left| e^{\left(b x + c\right)} - 1 \right|}\right) + \frac{2 \, {\left(e^{\left(b x + 2 \, a\right)} + e^{\left(b x + 2 \, c\right)}\right)} e^{\left(-a\right)}}{e^{\left(2 \, b x + 2 \, c\right)} - 1}}{2 \, b}"," ",0,"-1/2*((e^(2*a + c) - e^(3*c))*e^(-a - 2*c)*log(e^(b*x + c) + 1) - (e^(2*a + c) - e^(3*c))*e^(-a - 2*c)*log(abs(e^(b*x + c) - 1)) + 2*(e^(b*x + 2*a) + e^(b*x + 2*c))*e^(-a)/(e^(2*b*x + 2*c) - 1))/b","B",0
166,1,51,0,0.121822," ","integrate(cosh(b*x+a)*csch(b*x+c)^3,x, algorithm=""giac"")","-\frac{{\left(2 \, e^{\left(2 \, b x + 2 \, a + 2 \, c\right)} - e^{\left(2 \, a\right)} + e^{\left(2 \, c\right)}\right)} e^{\left(-a - c\right)}}{b {\left(e^{\left(2 \, b x + 2 \, c\right)} - 1\right)}^{2}}"," ",0,"-(2*e^(2*b*x + 2*a + 2*c) - e^(2*a) + e^(2*c))*e^(-a - c)/(b*(e^(2*b*x + 2*c) - 1)^2)","A",0
167,1,85,0,0.116258," ","integrate(sinh(b*x+a)*sinh(d*x+c),x, algorithm=""giac"")","\frac{e^{\left(b x + d x + a + c\right)}}{4 \, {\left(b + d\right)}} - \frac{e^{\left(b x - d x + a - c\right)}}{4 \, {\left(b - d\right)}} + \frac{e^{\left(-b x + d x - a + c\right)}}{4 \, {\left(b - d\right)}} - \frac{e^{\left(-b x - d x - a - c\right)}}{4 \, {\left(b + d\right)}}"," ",0,"1/4*e^(b*x + d*x + a + c)/(b + d) - 1/4*e^(b*x - d*x + a - c)/(b - d) + 1/4*e^(-b*x + d*x - a + c)/(b - d) - 1/4*e^(-b*x - d*x - a - c)/(b + d)","B",0
168,1,120,0,0.145001," ","integrate(sinh(b*x+a)*sinh(d*x+c)^2,x, algorithm=""giac"")","\frac{e^{\left(b x + 2 \, d x + a + 2 \, c\right)}}{8 \, {\left(b + 2 \, d\right)}} + \frac{e^{\left(b x - 2 \, d x + a - 2 \, c\right)}}{8 \, {\left(b - 2 \, d\right)}} - \frac{e^{\left(b x + a\right)}}{4 \, b} + \frac{e^{\left(-b x + 2 \, d x - a + 2 \, c\right)}}{8 \, {\left(b - 2 \, d\right)}} + \frac{e^{\left(-b x - 2 \, d x - a - 2 \, c\right)}}{8 \, {\left(b + 2 \, d\right)}} - \frac{e^{\left(-b x - a\right)}}{4 \, b}"," ",0,"1/8*e^(b*x + 2*d*x + a + 2*c)/(b + 2*d) + 1/8*e^(b*x - 2*d*x + a - 2*c)/(b - 2*d) - 1/4*e^(b*x + a)/b + 1/8*e^(-b*x + 2*d*x - a + 2*c)/(b - 2*d) + 1/8*e^(-b*x - 2*d*x - a - 2*c)/(b + 2*d) - 1/4*e^(-b*x - a)/b","B",0
169,1,179,0,0.147243," ","integrate(sinh(b*x+a)*sinh(d*x+c)^3,x, algorithm=""giac"")","\frac{e^{\left(b x + 3 \, d x + a + 3 \, c\right)}}{16 \, {\left(b + 3 \, d\right)}} - \frac{3 \, e^{\left(b x + d x + a + c\right)}}{16 \, {\left(b + d\right)}} + \frac{3 \, e^{\left(b x - d x + a - c\right)}}{16 \, {\left(b - d\right)}} - \frac{e^{\left(b x - 3 \, d x + a - 3 \, c\right)}}{16 \, {\left(b - 3 \, d\right)}} + \frac{e^{\left(-b x + 3 \, d x - a + 3 \, c\right)}}{16 \, {\left(b - 3 \, d\right)}} - \frac{3 \, e^{\left(-b x + d x - a + c\right)}}{16 \, {\left(b - d\right)}} + \frac{3 \, e^{\left(-b x - d x - a - c\right)}}{16 \, {\left(b + d\right)}} - \frac{e^{\left(-b x - 3 \, d x - a - 3 \, c\right)}}{16 \, {\left(b + 3 \, d\right)}}"," ",0,"1/16*e^(b*x + 3*d*x + a + 3*c)/(b + 3*d) - 3/16*e^(b*x + d*x + a + c)/(b + d) + 3/16*e^(b*x - d*x + a - c)/(b - d) - 1/16*e^(b*x - 3*d*x + a - 3*c)/(b - 3*d) + 1/16*e^(-b*x + 3*d*x - a + 3*c)/(b - 3*d) - 3/16*e^(-b*x + d*x - a + c)/(b - d) + 3/16*e^(-b*x - d*x - a - c)/(b + d) - 1/16*e^(-b*x - 3*d*x - a - 3*c)/(b + 3*d)","B",0
170,1,156,0,0.135842," ","integrate(sinh(b*x+a)^2*sinh(d*x+c)^2,x, algorithm=""giac"")","\frac{1}{4} \, x + \frac{e^{\left(2 \, b x + 2 \, d x + 2 \, a + 2 \, c\right)}}{32 \, {\left(b + d\right)}} + \frac{e^{\left(2 \, b x - 2 \, d x + 2 \, a - 2 \, c\right)}}{32 \, {\left(b - d\right)}} - \frac{e^{\left(2 \, b x + 2 \, a\right)}}{16 \, b} - \frac{e^{\left(-2 \, b x + 2 \, d x - 2 \, a + 2 \, c\right)}}{32 \, {\left(b - d\right)}} - \frac{e^{\left(-2 \, b x - 2 \, d x - 2 \, a - 2 \, c\right)}}{32 \, {\left(b + d\right)}} + \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{16 \, b} - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{16 \, d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{16 \, d}"," ",0,"1/4*x + 1/32*e^(2*b*x + 2*d*x + 2*a + 2*c)/(b + d) + 1/32*e^(2*b*x - 2*d*x + 2*a - 2*c)/(b - d) - 1/16*e^(2*b*x + 2*a)/b - 1/32*e^(-2*b*x + 2*d*x - 2*a + 2*c)/(b - d) - 1/32*e^(-2*b*x - 2*d*x - 2*a - 2*c)/(b + d) + 1/16*e^(-2*b*x - 2*a)/b - 1/16*e^(2*d*x + 2*c)/d + 1/16*e^(-2*d*x - 2*c)/d","A",0
171,1,260,0,0.139815," ","integrate(sinh(b*x+a)^2*sinh(d*x+c)^3,x, algorithm=""giac"")","\frac{e^{\left(2 \, b x + 3 \, d x + 2 \, a + 3 \, c\right)}}{32 \, {\left(2 \, b + 3 \, d\right)}} - \frac{3 \, e^{\left(2 \, b x + d x + 2 \, a + c\right)}}{32 \, {\left(2 \, b + d\right)}} + \frac{3 \, e^{\left(2 \, b x - d x + 2 \, a - c\right)}}{32 \, {\left(2 \, b - d\right)}} - \frac{e^{\left(2 \, b x - 3 \, d x + 2 \, a - 3 \, c\right)}}{32 \, {\left(2 \, b - 3 \, d\right)}} - \frac{e^{\left(-2 \, b x + 3 \, d x - 2 \, a + 3 \, c\right)}}{32 \, {\left(2 \, b - 3 \, d\right)}} + \frac{3 \, e^{\left(-2 \, b x + d x - 2 \, a + c\right)}}{32 \, {\left(2 \, b - d\right)}} - \frac{3 \, e^{\left(-2 \, b x - d x - 2 \, a - c\right)}}{32 \, {\left(2 \, b + d\right)}} + \frac{e^{\left(-2 \, b x - 3 \, d x - 2 \, a - 3 \, c\right)}}{32 \, {\left(2 \, b + 3 \, d\right)}} - \frac{e^{\left(3 \, d x + 3 \, c\right)}}{48 \, d} + \frac{3 \, e^{\left(d x + c\right)}}{16 \, d} + \frac{3 \, e^{\left(-d x - c\right)}}{16 \, d} - \frac{e^{\left(-3 \, d x - 3 \, c\right)}}{48 \, d}"," ",0,"1/32*e^(2*b*x + 3*d*x + 2*a + 3*c)/(2*b + 3*d) - 3/32*e^(2*b*x + d*x + 2*a + c)/(2*b + d) + 3/32*e^(2*b*x - d*x + 2*a - c)/(2*b - d) - 1/32*e^(2*b*x - 3*d*x + 2*a - 3*c)/(2*b - 3*d) - 1/32*e^(-2*b*x + 3*d*x - 2*a + 3*c)/(2*b - 3*d) + 3/32*e^(-2*b*x + d*x - 2*a + c)/(2*b - d) - 3/32*e^(-2*b*x - d*x - 2*a - c)/(2*b + d) + 1/32*e^(-2*b*x - 3*d*x - 2*a - 3*c)/(2*b + 3*d) - 1/48*e^(3*d*x + 3*c)/d + 3/16*e^(d*x + c)/d + 3/16*e^(-d*x - c)/d - 1/48*e^(-3*d*x - 3*c)/d","A",0
172,1,373,0,0.147869," ","integrate(sinh(b*x+a)^3*sinh(d*x+c)^3,x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + 3 \, d x + 3 \, a + 3 \, c\right)}}{192 \, {\left(b + d\right)}} - \frac{3 \, e^{\left(3 \, b x + d x + 3 \, a + c\right)}}{64 \, {\left(3 \, b + d\right)}} + \frac{3 \, e^{\left(3 \, b x - d x + 3 \, a - c\right)}}{64 \, {\left(3 \, b - d\right)}} - \frac{e^{\left(3 \, b x - 3 \, d x + 3 \, a - 3 \, c\right)}}{192 \, {\left(b - d\right)}} - \frac{3 \, e^{\left(b x + 3 \, d x + a + 3 \, c\right)}}{64 \, {\left(b + 3 \, d\right)}} + \frac{9 \, e^{\left(b x + d x + a + c\right)}}{64 \, {\left(b + d\right)}} - \frac{9 \, e^{\left(b x - d x + a - c\right)}}{64 \, {\left(b - d\right)}} + \frac{3 \, e^{\left(b x - 3 \, d x + a - 3 \, c\right)}}{64 \, {\left(b - 3 \, d\right)}} - \frac{3 \, e^{\left(-b x + 3 \, d x - a + 3 \, c\right)}}{64 \, {\left(b - 3 \, d\right)}} + \frac{9 \, e^{\left(-b x + d x - a + c\right)}}{64 \, {\left(b - d\right)}} - \frac{9 \, e^{\left(-b x - d x - a - c\right)}}{64 \, {\left(b + d\right)}} + \frac{3 \, e^{\left(-b x - 3 \, d x - a - 3 \, c\right)}}{64 \, {\left(b + 3 \, d\right)}} + \frac{e^{\left(-3 \, b x + 3 \, d x - 3 \, a + 3 \, c\right)}}{192 \, {\left(b - d\right)}} - \frac{3 \, e^{\left(-3 \, b x + d x - 3 \, a + c\right)}}{64 \, {\left(3 \, b - d\right)}} + \frac{3 \, e^{\left(-3 \, b x - d x - 3 \, a - c\right)}}{64 \, {\left(3 \, b + d\right)}} - \frac{e^{\left(-3 \, b x - 3 \, d x - 3 \, a - 3 \, c\right)}}{192 \, {\left(b + d\right)}}"," ",0,"1/192*e^(3*b*x + 3*d*x + 3*a + 3*c)/(b + d) - 3/64*e^(3*b*x + d*x + 3*a + c)/(3*b + d) + 3/64*e^(3*b*x - d*x + 3*a - c)/(3*b - d) - 1/192*e^(3*b*x - 3*d*x + 3*a - 3*c)/(b - d) - 3/64*e^(b*x + 3*d*x + a + 3*c)/(b + 3*d) + 9/64*e^(b*x + d*x + a + c)/(b + d) - 9/64*e^(b*x - d*x + a - c)/(b - d) + 3/64*e^(b*x - 3*d*x + a - 3*c)/(b - 3*d) - 3/64*e^(-b*x + 3*d*x - a + 3*c)/(b - 3*d) + 9/64*e^(-b*x + d*x - a + c)/(b - d) - 9/64*e^(-b*x - d*x - a - c)/(b + d) + 3/64*e^(-b*x - 3*d*x - a - 3*c)/(b + 3*d) + 1/192*e^(-3*b*x + 3*d*x - 3*a + 3*c)/(b - d) - 3/64*e^(-3*b*x + d*x - 3*a + c)/(3*b - d) + 3/64*e^(-3*b*x - d*x - 3*a - c)/(3*b + d) - 1/192*e^(-3*b*x - 3*d*x - 3*a - 3*c)/(b + d)","B",0
173,1,85,0,0.134337," ","integrate(cosh(b*x+a)*cosh(d*x+c),x, algorithm=""giac"")","\frac{e^{\left(b x + d x + a + c\right)}}{4 \, {\left(b + d\right)}} + \frac{e^{\left(b x - d x + a - c\right)}}{4 \, {\left(b - d\right)}} - \frac{e^{\left(-b x + d x - a + c\right)}}{4 \, {\left(b - d\right)}} - \frac{e^{\left(-b x - d x - a - c\right)}}{4 \, {\left(b + d\right)}}"," ",0,"1/4*e^(b*x + d*x + a + c)/(b + d) + 1/4*e^(b*x - d*x + a - c)/(b - d) - 1/4*e^(-b*x + d*x - a + c)/(b - d) - 1/4*e^(-b*x - d*x - a - c)/(b + d)","B",0
174,1,120,0,0.125014," ","integrate(cosh(b*x+a)*cosh(d*x+c)^2,x, algorithm=""giac"")","\frac{e^{\left(b x + 2 \, d x + a + 2 \, c\right)}}{8 \, {\left(b + 2 \, d\right)}} + \frac{e^{\left(b x - 2 \, d x + a - 2 \, c\right)}}{8 \, {\left(b - 2 \, d\right)}} + \frac{e^{\left(b x + a\right)}}{4 \, b} - \frac{e^{\left(-b x + 2 \, d x - a + 2 \, c\right)}}{8 \, {\left(b - 2 \, d\right)}} - \frac{e^{\left(-b x - 2 \, d x - a - 2 \, c\right)}}{8 \, {\left(b + 2 \, d\right)}} - \frac{e^{\left(-b x - a\right)}}{4 \, b}"," ",0,"1/8*e^(b*x + 2*d*x + a + 2*c)/(b + 2*d) + 1/8*e^(b*x - 2*d*x + a - 2*c)/(b - 2*d) + 1/4*e^(b*x + a)/b - 1/8*e^(-b*x + 2*d*x - a + 2*c)/(b - 2*d) - 1/8*e^(-b*x - 2*d*x - a - 2*c)/(b + 2*d) - 1/4*e^(-b*x - a)/b","B",0
175,1,179,0,0.131380," ","integrate(cosh(b*x+a)*cosh(d*x+c)^3,x, algorithm=""giac"")","\frac{e^{\left(b x + 3 \, d x + a + 3 \, c\right)}}{16 \, {\left(b + 3 \, d\right)}} + \frac{3 \, e^{\left(b x + d x + a + c\right)}}{16 \, {\left(b + d\right)}} + \frac{3 \, e^{\left(b x - d x + a - c\right)}}{16 \, {\left(b - d\right)}} + \frac{e^{\left(b x - 3 \, d x + a - 3 \, c\right)}}{16 \, {\left(b - 3 \, d\right)}} - \frac{e^{\left(-b x + 3 \, d x - a + 3 \, c\right)}}{16 \, {\left(b - 3 \, d\right)}} - \frac{3 \, e^{\left(-b x + d x - a + c\right)}}{16 \, {\left(b - d\right)}} - \frac{3 \, e^{\left(-b x - d x - a - c\right)}}{16 \, {\left(b + d\right)}} - \frac{e^{\left(-b x - 3 \, d x - a - 3 \, c\right)}}{16 \, {\left(b + 3 \, d\right)}}"," ",0,"1/16*e^(b*x + 3*d*x + a + 3*c)/(b + 3*d) + 3/16*e^(b*x + d*x + a + c)/(b + d) + 3/16*e^(b*x - d*x + a - c)/(b - d) + 1/16*e^(b*x - 3*d*x + a - 3*c)/(b - 3*d) - 1/16*e^(-b*x + 3*d*x - a + 3*c)/(b - 3*d) - 3/16*e^(-b*x + d*x - a + c)/(b - d) - 3/16*e^(-b*x - d*x - a - c)/(b + d) - 1/16*e^(-b*x - 3*d*x - a - 3*c)/(b + 3*d)","B",0
176,1,156,0,0.144961," ","integrate(cosh(b*x+a)^2*cosh(d*x+c)^2,x, algorithm=""giac"")","\frac{1}{4} \, x + \frac{e^{\left(2 \, b x + 2 \, d x + 2 \, a + 2 \, c\right)}}{32 \, {\left(b + d\right)}} + \frac{e^{\left(2 \, b x - 2 \, d x + 2 \, a - 2 \, c\right)}}{32 \, {\left(b - d\right)}} + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{16 \, b} - \frac{e^{\left(-2 \, b x + 2 \, d x - 2 \, a + 2 \, c\right)}}{32 \, {\left(b - d\right)}} - \frac{e^{\left(-2 \, b x - 2 \, d x - 2 \, a - 2 \, c\right)}}{32 \, {\left(b + d\right)}} - \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{16 \, b} + \frac{e^{\left(2 \, d x + 2 \, c\right)}}{16 \, d} - \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{16 \, d}"," ",0,"1/4*x + 1/32*e^(2*b*x + 2*d*x + 2*a + 2*c)/(b + d) + 1/32*e^(2*b*x - 2*d*x + 2*a - 2*c)/(b - d) + 1/16*e^(2*b*x + 2*a)/b - 1/32*e^(-2*b*x + 2*d*x - 2*a + 2*c)/(b - d) - 1/32*e^(-2*b*x - 2*d*x - 2*a - 2*c)/(b + d) - 1/16*e^(-2*b*x - 2*a)/b + 1/16*e^(2*d*x + 2*c)/d - 1/16*e^(-2*d*x - 2*c)/d","A",0
177,1,260,0,0.152764," ","integrate(cosh(b*x+a)^2*cosh(d*x+c)^3,x, algorithm=""giac"")","\frac{e^{\left(2 \, b x + 3 \, d x + 2 \, a + 3 \, c\right)}}{32 \, {\left(2 \, b + 3 \, d\right)}} + \frac{3 \, e^{\left(2 \, b x + d x + 2 \, a + c\right)}}{32 \, {\left(2 \, b + d\right)}} + \frac{3 \, e^{\left(2 \, b x - d x + 2 \, a - c\right)}}{32 \, {\left(2 \, b - d\right)}} + \frac{e^{\left(2 \, b x - 3 \, d x + 2 \, a - 3 \, c\right)}}{32 \, {\left(2 \, b - 3 \, d\right)}} - \frac{e^{\left(-2 \, b x + 3 \, d x - 2 \, a + 3 \, c\right)}}{32 \, {\left(2 \, b - 3 \, d\right)}} - \frac{3 \, e^{\left(-2 \, b x + d x - 2 \, a + c\right)}}{32 \, {\left(2 \, b - d\right)}} - \frac{3 \, e^{\left(-2 \, b x - d x - 2 \, a - c\right)}}{32 \, {\left(2 \, b + d\right)}} - \frac{e^{\left(-2 \, b x - 3 \, d x - 2 \, a - 3 \, c\right)}}{32 \, {\left(2 \, b + 3 \, d\right)}} + \frac{e^{\left(3 \, d x + 3 \, c\right)}}{48 \, d} + \frac{3 \, e^{\left(d x + c\right)}}{16 \, d} - \frac{3 \, e^{\left(-d x - c\right)}}{16 \, d} - \frac{e^{\left(-3 \, d x - 3 \, c\right)}}{48 \, d}"," ",0,"1/32*e^(2*b*x + 3*d*x + 2*a + 3*c)/(2*b + 3*d) + 3/32*e^(2*b*x + d*x + 2*a + c)/(2*b + d) + 3/32*e^(2*b*x - d*x + 2*a - c)/(2*b - d) + 1/32*e^(2*b*x - 3*d*x + 2*a - 3*c)/(2*b - 3*d) - 1/32*e^(-2*b*x + 3*d*x - 2*a + 3*c)/(2*b - 3*d) - 3/32*e^(-2*b*x + d*x - 2*a + c)/(2*b - d) - 3/32*e^(-2*b*x - d*x - 2*a - c)/(2*b + d) - 1/32*e^(-2*b*x - 3*d*x - 2*a - 3*c)/(2*b + 3*d) + 1/48*e^(3*d*x + 3*c)/d + 3/16*e^(d*x + c)/d - 3/16*e^(-d*x - c)/d - 1/48*e^(-3*d*x - 3*c)/d","A",0
178,1,373,0,0.146444," ","integrate(cosh(b*x+a)^3*cosh(d*x+c)^3,x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + 3 \, d x + 3 \, a + 3 \, c\right)}}{192 \, {\left(b + d\right)}} + \frac{3 \, e^{\left(3 \, b x + d x + 3 \, a + c\right)}}{64 \, {\left(3 \, b + d\right)}} + \frac{3 \, e^{\left(3 \, b x - d x + 3 \, a - c\right)}}{64 \, {\left(3 \, b - d\right)}} + \frac{e^{\left(3 \, b x - 3 \, d x + 3 \, a - 3 \, c\right)}}{192 \, {\left(b - d\right)}} + \frac{3 \, e^{\left(b x + 3 \, d x + a + 3 \, c\right)}}{64 \, {\left(b + 3 \, d\right)}} + \frac{9 \, e^{\left(b x + d x + a + c\right)}}{64 \, {\left(b + d\right)}} + \frac{9 \, e^{\left(b x - d x + a - c\right)}}{64 \, {\left(b - d\right)}} + \frac{3 \, e^{\left(b x - 3 \, d x + a - 3 \, c\right)}}{64 \, {\left(b - 3 \, d\right)}} - \frac{3 \, e^{\left(-b x + 3 \, d x - a + 3 \, c\right)}}{64 \, {\left(b - 3 \, d\right)}} - \frac{9 \, e^{\left(-b x + d x - a + c\right)}}{64 \, {\left(b - d\right)}} - \frac{9 \, e^{\left(-b x - d x - a - c\right)}}{64 \, {\left(b + d\right)}} - \frac{3 \, e^{\left(-b x - 3 \, d x - a - 3 \, c\right)}}{64 \, {\left(b + 3 \, d\right)}} - \frac{e^{\left(-3 \, b x + 3 \, d x - 3 \, a + 3 \, c\right)}}{192 \, {\left(b - d\right)}} - \frac{3 \, e^{\left(-3 \, b x + d x - 3 \, a + c\right)}}{64 \, {\left(3 \, b - d\right)}} - \frac{3 \, e^{\left(-3 \, b x - d x - 3 \, a - c\right)}}{64 \, {\left(3 \, b + d\right)}} - \frac{e^{\left(-3 \, b x - 3 \, d x - 3 \, a - 3 \, c\right)}}{192 \, {\left(b + d\right)}}"," ",0,"1/192*e^(3*b*x + 3*d*x + 3*a + 3*c)/(b + d) + 3/64*e^(3*b*x + d*x + 3*a + c)/(3*b + d) + 3/64*e^(3*b*x - d*x + 3*a - c)/(3*b - d) + 1/192*e^(3*b*x - 3*d*x + 3*a - 3*c)/(b - d) + 3/64*e^(b*x + 3*d*x + a + 3*c)/(b + 3*d) + 9/64*e^(b*x + d*x + a + c)/(b + d) + 9/64*e^(b*x - d*x + a - c)/(b - d) + 3/64*e^(b*x - 3*d*x + a - 3*c)/(b - 3*d) - 3/64*e^(-b*x + 3*d*x - a + 3*c)/(b - 3*d) - 9/64*e^(-b*x + d*x - a + c)/(b - d) - 9/64*e^(-b*x - d*x - a - c)/(b + d) - 3/64*e^(-b*x - 3*d*x - a - 3*c)/(b + 3*d) - 1/192*e^(-3*b*x + 3*d*x - 3*a + 3*c)/(b - d) - 3/64*e^(-3*b*x + d*x - 3*a + c)/(3*b - d) - 3/64*e^(-3*b*x - d*x - 3*a - c)/(3*b + d) - 1/192*e^(-3*b*x - 3*d*x - 3*a - 3*c)/(b + d)","B",0
179,1,85,0,0.117084," ","integrate(cosh(d*x+c)*sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(b x + d x + a + c\right)}}{4 \, {\left(b + d\right)}} + \frac{e^{\left(b x - d x + a - c\right)}}{4 \, {\left(b - d\right)}} + \frac{e^{\left(-b x + d x - a + c\right)}}{4 \, {\left(b - d\right)}} + \frac{e^{\left(-b x - d x - a - c\right)}}{4 \, {\left(b + d\right)}}"," ",0,"1/4*e^(b*x + d*x + a + c)/(b + d) + 1/4*e^(b*x - d*x + a - c)/(b - d) + 1/4*e^(-b*x + d*x - a + c)/(b - d) + 1/4*e^(-b*x - d*x - a - c)/(b + d)","B",0
180,1,120,0,0.146217," ","integrate(cosh(d*x+c)^2*sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(b x + 2 \, d x + a + 2 \, c\right)}}{8 \, {\left(b + 2 \, d\right)}} + \frac{e^{\left(b x - 2 \, d x + a - 2 \, c\right)}}{8 \, {\left(b - 2 \, d\right)}} + \frac{e^{\left(b x + a\right)}}{4 \, b} + \frac{e^{\left(-b x + 2 \, d x - a + 2 \, c\right)}}{8 \, {\left(b - 2 \, d\right)}} + \frac{e^{\left(-b x - 2 \, d x - a - 2 \, c\right)}}{8 \, {\left(b + 2 \, d\right)}} + \frac{e^{\left(-b x - a\right)}}{4 \, b}"," ",0,"1/8*e^(b*x + 2*d*x + a + 2*c)/(b + 2*d) + 1/8*e^(b*x - 2*d*x + a - 2*c)/(b - 2*d) + 1/4*e^(b*x + a)/b + 1/8*e^(-b*x + 2*d*x - a + 2*c)/(b - 2*d) + 1/8*e^(-b*x - 2*d*x - a - 2*c)/(b + 2*d) + 1/4*e^(-b*x - a)/b","B",0
181,1,179,0,0.128807," ","integrate(cosh(d*x+c)^3*sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(b x + 3 \, d x + a + 3 \, c\right)}}{16 \, {\left(b + 3 \, d\right)}} + \frac{3 \, e^{\left(b x + d x + a + c\right)}}{16 \, {\left(b + d\right)}} + \frac{3 \, e^{\left(b x - d x + a - c\right)}}{16 \, {\left(b - d\right)}} + \frac{e^{\left(b x - 3 \, d x + a - 3 \, c\right)}}{16 \, {\left(b - 3 \, d\right)}} + \frac{e^{\left(-b x + 3 \, d x - a + 3 \, c\right)}}{16 \, {\left(b - 3 \, d\right)}} + \frac{3 \, e^{\left(-b x + d x - a + c\right)}}{16 \, {\left(b - d\right)}} + \frac{3 \, e^{\left(-b x - d x - a - c\right)}}{16 \, {\left(b + d\right)}} + \frac{e^{\left(-b x - 3 \, d x - a - 3 \, c\right)}}{16 \, {\left(b + 3 \, d\right)}}"," ",0,"1/16*e^(b*x + 3*d*x + a + 3*c)/(b + 3*d) + 3/16*e^(b*x + d*x + a + c)/(b + d) + 3/16*e^(b*x - d*x + a - c)/(b - d) + 1/16*e^(b*x - 3*d*x + a - 3*c)/(b - 3*d) + 1/16*e^(-b*x + 3*d*x - a + 3*c)/(b - 3*d) + 3/16*e^(-b*x + d*x - a + c)/(b - d) + 3/16*e^(-b*x - d*x - a - c)/(b + d) + 1/16*e^(-b*x - 3*d*x - a - 3*c)/(b + 3*d)","B",0
182,1,124,0,0.120466," ","integrate(cosh(d*x+c)*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{e^{\left(2 \, b x + d x + 2 \, a + c\right)}}{8 \, {\left(2 \, b + d\right)}} + \frac{e^{\left(2 \, b x - d x + 2 \, a - c\right)}}{8 \, {\left(2 \, b - d\right)}} - \frac{e^{\left(-2 \, b x + d x - 2 \, a + c\right)}}{8 \, {\left(2 \, b - d\right)}} - \frac{e^{\left(-2 \, b x - d x - 2 \, a - c\right)}}{8 \, {\left(2 \, b + d\right)}} - \frac{e^{\left(d x + c\right)}}{4 \, d} + \frac{e^{\left(-d x - c\right)}}{4 \, d}"," ",0,"1/8*e^(2*b*x + d*x + 2*a + c)/(2*b + d) + 1/8*e^(2*b*x - d*x + 2*a - c)/(2*b - d) - 1/8*e^(-2*b*x + d*x - 2*a + c)/(2*b - d) - 1/8*e^(-2*b*x - d*x - 2*a - c)/(2*b + d) - 1/4*e^(d*x + c)/d + 1/4*e^(-d*x - c)/d","A",0
183,1,156,0,0.129217," ","integrate(cosh(d*x+c)^2*sinh(b*x+a)^2,x, algorithm=""giac"")","-\frac{1}{4} \, x + \frac{e^{\left(2 \, b x + 2 \, d x + 2 \, a + 2 \, c\right)}}{32 \, {\left(b + d\right)}} + \frac{e^{\left(2 \, b x - 2 \, d x + 2 \, a - 2 \, c\right)}}{32 \, {\left(b - d\right)}} + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{16 \, b} - \frac{e^{\left(-2 \, b x + 2 \, d x - 2 \, a + 2 \, c\right)}}{32 \, {\left(b - d\right)}} - \frac{e^{\left(-2 \, b x - 2 \, d x - 2 \, a - 2 \, c\right)}}{32 \, {\left(b + d\right)}} - \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{16 \, b} - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{16 \, d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{16 \, d}"," ",0,"-1/4*x + 1/32*e^(2*b*x + 2*d*x + 2*a + 2*c)/(b + d) + 1/32*e^(2*b*x - 2*d*x + 2*a - 2*c)/(b - d) + 1/16*e^(2*b*x + 2*a)/b - 1/32*e^(-2*b*x + 2*d*x - 2*a + 2*c)/(b - d) - 1/32*e^(-2*b*x - 2*d*x - 2*a - 2*c)/(b + d) - 1/16*e^(-2*b*x - 2*a)/b - 1/16*e^(2*d*x + 2*c)/d + 1/16*e^(-2*d*x - 2*c)/d","A",0
184,1,260,0,0.167717," ","integrate(cosh(d*x+c)^3*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{e^{\left(2 \, b x + 3 \, d x + 2 \, a + 3 \, c\right)}}{32 \, {\left(2 \, b + 3 \, d\right)}} + \frac{3 \, e^{\left(2 \, b x + d x + 2 \, a + c\right)}}{32 \, {\left(2 \, b + d\right)}} + \frac{3 \, e^{\left(2 \, b x - d x + 2 \, a - c\right)}}{32 \, {\left(2 \, b - d\right)}} + \frac{e^{\left(2 \, b x - 3 \, d x + 2 \, a - 3 \, c\right)}}{32 \, {\left(2 \, b - 3 \, d\right)}} - \frac{e^{\left(-2 \, b x + 3 \, d x - 2 \, a + 3 \, c\right)}}{32 \, {\left(2 \, b - 3 \, d\right)}} - \frac{3 \, e^{\left(-2 \, b x + d x - 2 \, a + c\right)}}{32 \, {\left(2 \, b - d\right)}} - \frac{3 \, e^{\left(-2 \, b x - d x - 2 \, a - c\right)}}{32 \, {\left(2 \, b + d\right)}} - \frac{e^{\left(-2 \, b x - 3 \, d x - 2 \, a - 3 \, c\right)}}{32 \, {\left(2 \, b + 3 \, d\right)}} - \frac{e^{\left(3 \, d x + 3 \, c\right)}}{48 \, d} - \frac{3 \, e^{\left(d x + c\right)}}{16 \, d} + \frac{3 \, e^{\left(-d x - c\right)}}{16 \, d} + \frac{e^{\left(-3 \, d x - 3 \, c\right)}}{48 \, d}"," ",0,"1/32*e^(2*b*x + 3*d*x + 2*a + 3*c)/(2*b + 3*d) + 3/32*e^(2*b*x + d*x + 2*a + c)/(2*b + d) + 3/32*e^(2*b*x - d*x + 2*a - c)/(2*b - d) + 1/32*e^(2*b*x - 3*d*x + 2*a - 3*c)/(2*b - 3*d) - 1/32*e^(-2*b*x + 3*d*x - 2*a + 3*c)/(2*b - 3*d) - 3/32*e^(-2*b*x + d*x - 2*a + c)/(2*b - d) - 3/32*e^(-2*b*x - d*x - 2*a - c)/(2*b + d) - 1/32*e^(-2*b*x - 3*d*x - 2*a - 3*c)/(2*b + 3*d) - 1/48*e^(3*d*x + 3*c)/d - 3/16*e^(d*x + c)/d + 3/16*e^(-d*x - c)/d + 1/48*e^(-3*d*x - 3*c)/d","A",0
185,1,183,0,0.142590," ","integrate(cosh(d*x+c)*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + d x + 3 \, a + c\right)}}{16 \, {\left(3 \, b + d\right)}} + \frac{e^{\left(3 \, b x - d x + 3 \, a - c\right)}}{16 \, {\left(3 \, b - d\right)}} - \frac{3 \, e^{\left(b x + d x + a + c\right)}}{16 \, {\left(b + d\right)}} - \frac{3 \, e^{\left(b x - d x + a - c\right)}}{16 \, {\left(b - d\right)}} - \frac{3 \, e^{\left(-b x + d x - a + c\right)}}{16 \, {\left(b - d\right)}} - \frac{3 \, e^{\left(-b x - d x - a - c\right)}}{16 \, {\left(b + d\right)}} + \frac{e^{\left(-3 \, b x + d x - 3 \, a + c\right)}}{16 \, {\left(3 \, b - d\right)}} + \frac{e^{\left(-3 \, b x - d x - 3 \, a - c\right)}}{16 \, {\left(3 \, b + d\right)}}"," ",0,"1/16*e^(3*b*x + d*x + 3*a + c)/(3*b + d) + 1/16*e^(3*b*x - d*x + 3*a - c)/(3*b - d) - 3/16*e^(b*x + d*x + a + c)/(b + d) - 3/16*e^(b*x - d*x + a - c)/(b - d) - 3/16*e^(-b*x + d*x - a + c)/(b - d) - 3/16*e^(-b*x - d*x - a - c)/(b + d) + 1/16*e^(-3*b*x + d*x - 3*a + c)/(3*b - d) + 1/16*e^(-3*b*x - d*x - 3*a - c)/(3*b + d)","B",0
186,1,256,0,0.154718," ","integrate(cosh(d*x+c)^2*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + 2 \, d x + 3 \, a + 2 \, c\right)}}{32 \, {\left(3 \, b + 2 \, d\right)}} + \frac{e^{\left(3 \, b x - 2 \, d x + 3 \, a - 2 \, c\right)}}{32 \, {\left(3 \, b - 2 \, d\right)}} + \frac{e^{\left(3 \, b x + 3 \, a\right)}}{48 \, b} - \frac{3 \, e^{\left(b x + 2 \, d x + a + 2 \, c\right)}}{32 \, {\left(b + 2 \, d\right)}} - \frac{3 \, e^{\left(b x - 2 \, d x + a - 2 \, c\right)}}{32 \, {\left(b - 2 \, d\right)}} - \frac{3 \, e^{\left(b x + a\right)}}{16 \, b} - \frac{3 \, e^{\left(-b x + 2 \, d x - a + 2 \, c\right)}}{32 \, {\left(b - 2 \, d\right)}} - \frac{3 \, e^{\left(-b x - 2 \, d x - a - 2 \, c\right)}}{32 \, {\left(b + 2 \, d\right)}} - \frac{3 \, e^{\left(-b x - a\right)}}{16 \, b} + \frac{e^{\left(-3 \, b x + 2 \, d x - 3 \, a + 2 \, c\right)}}{32 \, {\left(3 \, b - 2 \, d\right)}} + \frac{e^{\left(-3 \, b x - 2 \, d x - 3 \, a - 2 \, c\right)}}{32 \, {\left(3 \, b + 2 \, d\right)}} + \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{48 \, b}"," ",0,"1/32*e^(3*b*x + 2*d*x + 3*a + 2*c)/(3*b + 2*d) + 1/32*e^(3*b*x - 2*d*x + 3*a - 2*c)/(3*b - 2*d) + 1/48*e^(3*b*x + 3*a)/b - 3/32*e^(b*x + 2*d*x + a + 2*c)/(b + 2*d) - 3/32*e^(b*x - 2*d*x + a - 2*c)/(b - 2*d) - 3/16*e^(b*x + a)/b - 3/32*e^(-b*x + 2*d*x - a + 2*c)/(b - 2*d) - 3/32*e^(-b*x - 2*d*x - a - 2*c)/(b + 2*d) - 3/16*e^(-b*x - a)/b + 1/32*e^(-3*b*x + 2*d*x - 3*a + 2*c)/(3*b - 2*d) + 1/32*e^(-3*b*x - 2*d*x - 3*a - 2*c)/(3*b + 2*d) + 1/48*e^(-3*b*x - 3*a)/b","B",0
187,1,373,0,0.147924," ","integrate(cosh(d*x+c)^3*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + 3 \, d x + 3 \, a + 3 \, c\right)}}{192 \, {\left(b + d\right)}} + \frac{3 \, e^{\left(3 \, b x + d x + 3 \, a + c\right)}}{64 \, {\left(3 \, b + d\right)}} + \frac{3 \, e^{\left(3 \, b x - d x + 3 \, a - c\right)}}{64 \, {\left(3 \, b - d\right)}} + \frac{e^{\left(3 \, b x - 3 \, d x + 3 \, a - 3 \, c\right)}}{192 \, {\left(b - d\right)}} - \frac{3 \, e^{\left(b x + 3 \, d x + a + 3 \, c\right)}}{64 \, {\left(b + 3 \, d\right)}} - \frac{9 \, e^{\left(b x + d x + a + c\right)}}{64 \, {\left(b + d\right)}} - \frac{9 \, e^{\left(b x - d x + a - c\right)}}{64 \, {\left(b - d\right)}} - \frac{3 \, e^{\left(b x - 3 \, d x + a - 3 \, c\right)}}{64 \, {\left(b - 3 \, d\right)}} - \frac{3 \, e^{\left(-b x + 3 \, d x - a + 3 \, c\right)}}{64 \, {\left(b - 3 \, d\right)}} - \frac{9 \, e^{\left(-b x + d x - a + c\right)}}{64 \, {\left(b - d\right)}} - \frac{9 \, e^{\left(-b x - d x - a - c\right)}}{64 \, {\left(b + d\right)}} - \frac{3 \, e^{\left(-b x - 3 \, d x - a - 3 \, c\right)}}{64 \, {\left(b + 3 \, d\right)}} + \frac{e^{\left(-3 \, b x + 3 \, d x - 3 \, a + 3 \, c\right)}}{192 \, {\left(b - d\right)}} + \frac{3 \, e^{\left(-3 \, b x + d x - 3 \, a + c\right)}}{64 \, {\left(3 \, b - d\right)}} + \frac{3 \, e^{\left(-3 \, b x - d x - 3 \, a - c\right)}}{64 \, {\left(3 \, b + d\right)}} + \frac{e^{\left(-3 \, b x - 3 \, d x - 3 \, a - 3 \, c\right)}}{192 \, {\left(b + d\right)}}"," ",0,"1/192*e^(3*b*x + 3*d*x + 3*a + 3*c)/(b + d) + 3/64*e^(3*b*x + d*x + 3*a + c)/(3*b + d) + 3/64*e^(3*b*x - d*x + 3*a - c)/(3*b - d) + 1/192*e^(3*b*x - 3*d*x + 3*a - 3*c)/(b - d) - 3/64*e^(b*x + 3*d*x + a + 3*c)/(b + 3*d) - 9/64*e^(b*x + d*x + a + c)/(b + d) - 9/64*e^(b*x - d*x + a - c)/(b - d) - 3/64*e^(b*x - 3*d*x + a - 3*c)/(b - 3*d) - 3/64*e^(-b*x + 3*d*x - a + 3*c)/(b - 3*d) - 9/64*e^(-b*x + d*x - a + c)/(b - d) - 9/64*e^(-b*x - d*x - a - c)/(b + d) - 3/64*e^(-b*x - 3*d*x - a - 3*c)/(b + 3*d) + 1/192*e^(-3*b*x + 3*d*x - 3*a + 3*c)/(b - d) + 3/64*e^(-3*b*x + d*x - 3*a + c)/(3*b - d) + 3/64*e^(-3*b*x - d*x - 3*a - c)/(3*b + d) + 1/192*e^(-3*b*x - 3*d*x - 3*a - 3*c)/(b + d)","B",0
188,0,0,0,0.000000," ","integrate(sinh(b*x+a)*tanh(d*x+c),x, algorithm=""giac"")","\int \sinh\left(b x + a\right) \tanh\left(d x + c\right)\,{d x}"," ",0,"integrate(sinh(b*x + a)*tanh(d*x + c), x)","F",0
189,0,0,0,0.000000," ","integrate(coth(d*x+c)*sinh(b*x+a),x, algorithm=""giac"")","\int \coth\left(d x + c\right) \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(coth(d*x + c)*sinh(b*x + a), x)","F",0
190,0,0,0,0.000000," ","integrate(cosh(b*x+a)*coth(d*x+c),x, algorithm=""giac"")","\int \cosh\left(b x + a\right) \coth\left(d x + c\right)\,{d x}"," ",0,"integrate(cosh(b*x + a)*coth(d*x + c), x)","F",0
191,0,0,0,0.000000," ","integrate(cosh(b*x+a)*tanh(d*x+c),x, algorithm=""giac"")","\int \cosh\left(b x + a\right) \tanh\left(d x + c\right)\,{d x}"," ",0,"integrate(cosh(b*x + a)*tanh(d*x + c), x)","F",0
192,1,25,0,0.128183," ","integrate(sinh(x)*sinh(2*x),x, algorithm=""giac"")","\frac{1}{12} \, {\left(3 \, e^{\left(2 \, x\right)} - 1\right)} e^{\left(-3 \, x\right)} + \frac{1}{12} \, e^{\left(3 \, x\right)} - \frac{1}{4} \, e^{x}"," ",0,"1/12*(3*e^(2*x) - 1)*e^(-3*x) + 1/12*e^(3*x) - 1/4*e^x","B",0
193,1,27,0,0.128745," ","integrate(sinh(x)*sinh(3*x),x, algorithm=""giac"")","\frac{1}{16} \, {\left(2 \, e^{\left(2 \, x\right)} - 1\right)} e^{\left(-4 \, x\right)} + \frac{1}{16} \, e^{\left(4 \, x\right)} - \frac{1}{8} \, e^{\left(2 \, x\right)}"," ",0,"1/16*(2*e^(2*x) - 1)*e^(-4*x) + 1/16*e^(4*x) - 1/8*e^(2*x)","B",0
194,1,27,0,0.129241," ","integrate(sinh(x)*sinh(4*x),x, algorithm=""giac"")","\frac{1}{60} \, {\left(5 \, e^{\left(2 \, x\right)} - 3\right)} e^{\left(-5 \, x\right)} + \frac{1}{20} \, e^{\left(5 \, x\right)} - \frac{1}{12} \, e^{\left(3 \, x\right)}"," ",0,"1/60*(5*e^(2*x) - 3)*e^(-5*x) + 1/20*e^(5*x) - 1/12*e^(3*x)","B",0
195,1,59,0,0.118219," ","integrate(sinh(x)*sinh(m*x),x, algorithm=""giac"")","\frac{e^{\left(m x + x\right)}}{4 \, {\left(m + 1\right)}} - \frac{e^{\left(m x - x\right)}}{4 \, {\left(m - 1\right)}} + \frac{e^{\left(-m x + x\right)}}{4 \, {\left(m - 1\right)}} - \frac{e^{\left(-m x - x\right)}}{4 \, {\left(m + 1\right)}}"," ",0,"1/4*e^(m*x + x)/(m + 1) - 1/4*e^(m*x - x)/(m - 1) + 1/4*e^(-m*x + x)/(m - 1) - 1/4*e^(-m*x - x)/(m + 1)","B",0
196,1,25,0,0.109496," ","integrate(cosh(2*x)*sinh(x),x, algorithm=""giac"")","-\frac{1}{12} \, {\left(3 \, e^{\left(2 \, x\right)} - 1\right)} e^{\left(-3 \, x\right)} + \frac{1}{12} \, e^{\left(3 \, x\right)} - \frac{1}{4} \, e^{x}"," ",0,"-1/12*(3*e^(2*x) - 1)*e^(-3*x) + 1/12*e^(3*x) - 1/4*e^x","B",0
197,1,26,0,0.109814," ","integrate(cosh(3*x)*sinh(x),x, algorithm=""giac"")","\frac{1}{16} \, {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{2} - \frac{1}{8} \, e^{\left(2 \, x\right)} - \frac{1}{8} \, e^{\left(-2 \, x\right)}"," ",0,"1/16*(e^(2*x) + e^(-2*x))^2 - 1/8*e^(2*x) - 1/8*e^(-2*x)","A",0
198,1,27,0,0.109095," ","integrate(cosh(4*x)*sinh(x),x, algorithm=""giac"")","-\frac{1}{60} \, {\left(5 \, e^{\left(2 \, x\right)} - 3\right)} e^{\left(-5 \, x\right)} + \frac{1}{20} \, e^{\left(5 \, x\right)} - \frac{1}{12} \, e^{\left(3 \, x\right)}"," ",0,"-1/60*(5*e^(2*x) - 3)*e^(-5*x) + 1/20*e^(5*x) - 1/12*e^(3*x)","B",0
199,1,59,0,0.115351," ","integrate(cosh(m*x)*sinh(x),x, algorithm=""giac"")","\frac{e^{\left(m x + x\right)}}{4 \, {\left(m + 1\right)}} - \frac{e^{\left(m x - x\right)}}{4 \, {\left(m - 1\right)}} - \frac{e^{\left(-m x + x\right)}}{4 \, {\left(m - 1\right)}} + \frac{e^{\left(-m x - x\right)}}{4 \, {\left(m + 1\right)}}"," ",0,"1/4*e^(m*x + x)/(m + 1) - 1/4*e^(m*x - x)/(m - 1) - 1/4*e^(-m*x + x)/(m - 1) + 1/4*e^(-m*x - x)/(m + 1)","B",0
200,1,36,0,0.132928," ","integrate(sinh(x)*tanh(2*x),x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{2} {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} - \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-1/4*sqrt(2)*(pi + 2*arctan(1/2*sqrt(2)*(e^(2*x) - 1)*e^(-x))) - 1/2*e^(-x) + 1/2*e^x","B",0
201,1,43,0,0.137209," ","integrate(sinh(x)*tanh(3*x),x, algorithm=""giac"")","-\frac{1}{3} \, \pi - \frac{1}{3} \, \arctan\left({\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right) - \frac{1}{3} \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right) - \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-1/3*pi - 1/3*arctan((e^(2*x) - 1)*e^(-x)) - 1/3*arctan(1/2*(e^(2*x) - 1)*e^(-x)) - 1/2*e^(-x) + 1/2*e^x","B",0
202,1,71,0,0.216828," ","integrate(sinh(x)*tanh(4*x),x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{\sqrt{2} + 2} \arctan\left(-\frac{e^{\left(-x\right)} - e^{x}}{\sqrt{\sqrt{2} + 2}}\right) - \frac{1}{4} \, \sqrt{-\sqrt{2} + 2} \arctan\left(-\frac{e^{\left(-x\right)} - e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-1/4*sqrt(sqrt(2) + 2)*arctan(-(e^(-x) - e^x)/sqrt(sqrt(2) + 2)) - 1/4*sqrt(-sqrt(2) + 2)*arctan(-(e^(-x) - e^x)/sqrt(-sqrt(2) + 2)) - 1/2*e^(-x) + 1/2*e^x","A",0
203,1,81,0,0.148685," ","integrate(sinh(x)*tanh(5*x),x, algorithm=""giac"")","-\frac{1}{10} \, \pi - \frac{1}{10} \, {\left(\sqrt{5} + 1\right)} \arctan\left(-\frac{2 \, {\left(e^{\left(-x\right)} - e^{x}\right)}}{\sqrt{5} + 1}\right) - \frac{1}{10} \, {\left(\sqrt{5} - 1\right)} \arctan\left(-\frac{2 \, {\left(e^{\left(-x\right)} - e^{x}\right)}}{\sqrt{5} - 1}\right) - \frac{1}{5} \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right) - \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-1/10*pi - 1/10*(sqrt(5) + 1)*arctan(-2*(e^(-x) - e^x)/(sqrt(5) + 1)) - 1/10*(sqrt(5) - 1)*arctan(-2*(e^(-x) - e^x)/(sqrt(5) - 1)) - 1/5*arctan(1/2*(e^(2*x) - 1)*e^(-x)) - 1/2*e^(-x) + 1/2*e^x","A",0
204,1,100,0,0.148634," ","integrate(sinh(x)*tanh(6*x),x, algorithm=""giac"")","-\frac{1}{12} \, {\left(\sqrt{6} + \sqrt{2}\right)} \arctan\left(-\frac{2 \, {\left(e^{\left(-x\right)} - e^{x}\right)}}{\sqrt{6} + \sqrt{2}}\right) - \frac{1}{12} \, {\left(\sqrt{6} - \sqrt{2}\right)} \arctan\left(-\frac{2 \, {\left(e^{\left(-x\right)} - e^{x}\right)}}{\sqrt{6} - \sqrt{2}}\right) - \frac{1}{12} \, \sqrt{2} {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} - \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-1/12*(sqrt(6) + sqrt(2))*arctan(-2*(e^(-x) - e^x)/(sqrt(6) + sqrt(2))) - 1/12*(sqrt(6) - sqrt(2))*arctan(-2*(e^(-x) - e^x)/(sqrt(6) - sqrt(2))) - 1/12*sqrt(2)*(pi + 2*arctan(1/2*sqrt(2)*(e^(2*x) - 1)*e^(-x))) - 1/2*e^(-x) + 1/2*e^x","A",0
205,0,0,0,0.000000," ","integrate(sinh(x)*tanh(n*x),x, algorithm=""giac"")","\int \sinh\left(x\right) \tanh\left(n x\right)\,{d x}"," ",0,"integrate(sinh(x)*tanh(n*x), x)","F",0
206,1,16,0,0.127307," ","integrate(coth(2*x)*sinh(x),x, algorithm=""giac"")","-\arctan\left(e^{x}\right) - \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-arctan(e^x) - 1/2*e^(-x) + 1/2*e^x","A",0
207,1,36,0,0.132056," ","integrate(coth(3*x)*sinh(x),x, algorithm=""giac"")","-\frac{1}{6} \, \sqrt{3} {\left(\pi + 2 \, \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} - \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-1/6*sqrt(3)*(pi + 2*arctan(1/3*sqrt(3)*(e^(2*x) - 1)*e^(-x))) - 1/2*e^(-x) + 1/2*e^x","B",0
208,1,54,0,0.137967," ","integrate(coth(4*x)*sinh(x),x, algorithm=""giac"")","-\frac{1}{8} \, \pi - \frac{1}{8} \, \sqrt{2} {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} - \frac{1}{4} \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right) - \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-1/8*pi - 1/8*sqrt(2)*(pi + 2*arctan(1/2*sqrt(2)*(e^(2*x) - 1)*e^(-x))) - 1/4*arctan(1/2*(e^(2*x) - 1)*e^(-x)) - 1/2*e^(-x) + 1/2*e^x","B",0
209,1,75,0,0.159696," ","integrate(coth(5*x)*sinh(x),x, algorithm=""giac"")","-\frac{1}{10} \, \sqrt{2 \, \sqrt{5} + 10} \arctan\left(-\frac{e^{\left(-x\right)} - e^{x}}{\sqrt{\frac{1}{2} \, \sqrt{5} + \frac{5}{2}}}\right) - \frac{1}{10} \, \sqrt{-2 \, \sqrt{5} + 10} \arctan\left(-\frac{e^{\left(-x\right)} - e^{x}}{\sqrt{-\frac{1}{2} \, \sqrt{5} + \frac{5}{2}}}\right) - \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-1/10*sqrt(2*sqrt(5) + 10)*arctan(-(e^(-x) - e^x)/sqrt(1/2*sqrt(5) + 5/2)) - 1/10*sqrt(-2*sqrt(5) + 10)*arctan(-(e^(-x) - e^x)/sqrt(-1/2*sqrt(5) + 5/2)) - 1/2*e^(-x) + 1/2*e^x","A",0
210,1,68,0,0.145048," ","integrate(coth(6*x)*sinh(x),x, algorithm=""giac"")","-\frac{1}{6} \, \pi - \frac{1}{12} \, \sqrt{3} {\left(\pi + 2 \, \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} - \frac{1}{6} \, \arctan\left({\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right) - \frac{1}{6} \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right) - \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-1/6*pi - 1/12*sqrt(3)*(pi + 2*arctan(1/3*sqrt(3)*(e^(2*x) - 1)*e^(-x))) - 1/6*arctan((e^(2*x) - 1)*e^(-x)) - 1/6*arctan(1/2*(e^(2*x) - 1)*e^(-x)) - 1/2*e^(-x) + 1/2*e^x","B",0
211,1,38,0,0.131475," ","integrate(sech(2*x)*sinh(x),x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{4} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right)"," ",0,"-1/4*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) + 1/4*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1)","B",0
212,1,41,0,0.112948," ","integrate(sech(3*x)*sinh(x),x, algorithm=""giac"")","\frac{1}{6} \, \log\left(\sqrt{3} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{6} \, \log\left(-\sqrt{3} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{3} \, \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"1/6*log(sqrt(3)*e^x + e^(2*x) + 1) + 1/6*log(-sqrt(3)*e^x + e^(2*x) + 1) - 1/3*log(e^(2*x) + 1)","B",0
213,1,115,0,0.193558," ","integrate(sech(4*x)*sinh(x),x, algorithm=""giac"")","-\frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \log\left(\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \log\left(-\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{8} \, \sqrt{\sqrt{2} + 2} \log\left(\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{8} \, \sqrt{\sqrt{2} + 2} \log\left(-\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right)"," ",0,"-1/8*sqrt(-sqrt(2) + 2)*log(sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + 1/8*sqrt(-sqrt(2) + 2)*log(-sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + 1/8*sqrt(sqrt(2) + 2)*log(sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) - 1/8*sqrt(sqrt(2) + 2)*log(-sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1)","B",0
214,1,118,0,0.159203," ","integrate(sech(5*x)*sinh(x),x, algorithm=""giac"")","\frac{1}{20} \, {\left(\sqrt{5} - 1\right)} \log\left(\frac{1}{2} \, \sqrt{2 \, \sqrt{5} + 10} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{20} \, {\left(\sqrt{5} - 1\right)} \log\left(-\frac{1}{2} \, \sqrt{2 \, \sqrt{5} + 10} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{20} \, {\left(\sqrt{5} + 1\right)} \log\left(\frac{1}{2} \, \sqrt{-2 \, \sqrt{5} + 10} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{20} \, {\left(\sqrt{5} + 1\right)} \log\left(-\frac{1}{2} \, \sqrt{-2 \, \sqrt{5} + 10} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{5} \, \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"1/20*(sqrt(5) - 1)*log(1/2*sqrt(2*sqrt(5) + 10)*e^x + e^(2*x) + 1) + 1/20*(sqrt(5) - 1)*log(-1/2*sqrt(2*sqrt(5) + 10)*e^x + e^(2*x) + 1) - 1/20*(sqrt(5) + 1)*log(1/2*sqrt(-2*sqrt(5) + 10)*e^x + e^(2*x) + 1) - 1/20*(sqrt(5) + 1)*log(-1/2*sqrt(-2*sqrt(5) + 10)*e^x + e^(2*x) + 1) + 1/5*log(e^(2*x) + 1)","B",0
215,1,154,0,0.149389," ","integrate(sech(6*x)*sinh(x),x, algorithm=""giac"")","-\frac{1}{24} \, {\left(\sqrt{6} - \sqrt{2}\right)} \log\left(\frac{1}{2} \, {\left(\sqrt{6} + \sqrt{2}\right)} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{24} \, {\left(\sqrt{6} - \sqrt{2}\right)} \log\left(-\frac{1}{2} \, {\left(\sqrt{6} + \sqrt{2}\right)} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{24} \, {\left(\sqrt{6} + \sqrt{2}\right)} \log\left(\frac{1}{2} \, {\left(\sqrt{6} - \sqrt{2}\right)} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{24} \, {\left(\sqrt{6} + \sqrt{2}\right)} \log\left(-\frac{1}{2} \, {\left(\sqrt{6} - \sqrt{2}\right)} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{12} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{12} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right)"," ",0,"-1/24*(sqrt(6) - sqrt(2))*log(1/2*(sqrt(6) + sqrt(2))*e^x + e^(2*x) + 1) + 1/24*(sqrt(6) - sqrt(2))*log(-1/2*(sqrt(6) + sqrt(2))*e^x + e^(2*x) + 1) - 1/24*(sqrt(6) + sqrt(2))*log(1/2*(sqrt(6) - sqrt(2))*e^x + e^(2*x) + 1) + 1/24*(sqrt(6) + sqrt(2))*log(-1/2*(sqrt(6) - sqrt(2))*e^x + e^(2*x) + 1) + 1/12*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) - 1/12*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1)","B",0
216,1,3,0,0.111424," ","integrate(csch(2*x)*sinh(x),x, algorithm=""giac"")","\arctan\left(e^{x}\right)"," ",0,"arctan(e^x)","A",0
217,1,19,0,0.109581," ","integrate(csch(3*x)*sinh(x),x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{\left(2 \, x\right)} + 1\right)}\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*e^(2*x) + 1))","A",0
218,1,44,0,0.120250," ","integrate(csch(4*x)*sinh(x),x, algorithm=""giac"")","-\frac{1}{8} \, \pi + \frac{1}{8} \, \sqrt{2} {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} - \frac{1}{4} \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)"," ",0,"-1/8*pi + 1/8*sqrt(2)*(pi + 2*arctan(1/2*sqrt(2)*(e^(2*x) - 1)*e^(-x))) - 1/4*arctan(1/2*(e^(2*x) - 1)*e^(-x))","B",0
219,1,68,0,0.150339," ","integrate(csch(5*x)*sinh(x),x, algorithm=""giac"")","\frac{1}{10} \, \sqrt{-2 \, \sqrt{5} + 10} \arctan\left(-\frac{\sqrt{5} - 4 \, e^{\left(2 \, x\right)} - 1}{\sqrt{2 \, \sqrt{5} + 10}}\right) - \frac{1}{10} \, \sqrt{2 \, \sqrt{5} + 10} \arctan\left(\frac{\sqrt{5} + 4 \, e^{\left(2 \, x\right)} + 1}{\sqrt{-2 \, \sqrt{5} + 10}}\right)"," ",0,"1/10*sqrt(-2*sqrt(5) + 10)*arctan(-(sqrt(5) - 4*e^(2*x) - 1)/sqrt(2*sqrt(5) + 10)) - 1/10*sqrt(2*sqrt(5) + 10)*arctan((sqrt(5) + 4*e^(2*x) + 1)/sqrt(-2*sqrt(5) + 10))","A",0
220,1,58,0,0.144421," ","integrate(csch(6*x)*sinh(x),x, algorithm=""giac"")","\frac{1}{6} \, \pi - \frac{1}{12} \, \sqrt{3} {\left(\pi + 2 \, \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} + \frac{1}{6} \, \arctan\left({\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right) + \frac{1}{6} \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)"," ",0,"1/6*pi - 1/12*sqrt(3)*(pi + 2*arctan(1/3*sqrt(3)*(e^(2*x) - 1)*e^(-x))) + 1/6*arctan((e^(2*x) - 1)*e^(-x)) + 1/6*arctan(1/2*(e^(2*x) - 1)*e^(-x))","B",0
221,1,25,0,0.131591," ","integrate(cosh(x)*sinh(2*x),x, algorithm=""giac"")","\frac{1}{12} \, {\left(3 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-3 \, x\right)} + \frac{1}{12} \, e^{\left(3 \, x\right)} + \frac{1}{4} \, e^{x}"," ",0,"1/12*(3*e^(2*x) + 1)*e^(-3*x) + 1/12*e^(3*x) + 1/4*e^x","B",0
222,1,26,0,0.109684," ","integrate(cosh(x)*sinh(3*x),x, algorithm=""giac"")","\frac{1}{16} \, {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{2} + \frac{1}{8} \, e^{\left(2 \, x\right)} + \frac{1}{8} \, e^{\left(-2 \, x\right)}"," ",0,"1/16*(e^(2*x) + e^(-2*x))^2 + 1/8*e^(2*x) + 1/8*e^(-2*x)","A",0
223,1,27,0,0.111530," ","integrate(cosh(x)*sinh(4*x),x, algorithm=""giac"")","\frac{1}{60} \, {\left(5 \, e^{\left(2 \, x\right)} + 3\right)} e^{\left(-5 \, x\right)} + \frac{1}{20} \, e^{\left(5 \, x\right)} + \frac{1}{12} \, e^{\left(3 \, x\right)}"," ",0,"1/60*(5*e^(2*x) + 3)*e^(-5*x) + 1/20*e^(5*x) + 1/12*e^(3*x)","B",0
224,1,59,0,0.138296," ","integrate(cosh(x)*sinh(m*x),x, algorithm=""giac"")","\frac{e^{\left(m x + x\right)}}{4 \, {\left(m + 1\right)}} + \frac{e^{\left(m x - x\right)}}{4 \, {\left(m - 1\right)}} + \frac{e^{\left(-m x + x\right)}}{4 \, {\left(m - 1\right)}} + \frac{e^{\left(-m x - x\right)}}{4 \, {\left(m + 1\right)}}"," ",0,"1/4*e^(m*x + x)/(m + 1) + 1/4*e^(m*x - x)/(m - 1) + 1/4*e^(-m*x + x)/(m - 1) + 1/4*e^(-m*x - x)/(m + 1)","B",0
225,1,25,0,0.134552," ","integrate(cosh(x)*cosh(2*x),x, algorithm=""giac"")","-\frac{1}{12} \, {\left(3 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-3 \, x\right)} + \frac{1}{12} \, e^{\left(3 \, x\right)} + \frac{1}{4} \, e^{x}"," ",0,"-1/12*(3*e^(2*x) + 1)*e^(-3*x) + 1/12*e^(3*x) + 1/4*e^x","B",0
226,1,27,0,0.110058," ","integrate(cosh(x)*cosh(3*x),x, algorithm=""giac"")","-\frac{1}{16} \, {\left(2 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-4 \, x\right)} + \frac{1}{16} \, e^{\left(4 \, x\right)} + \frac{1}{8} \, e^{\left(2 \, x\right)}"," ",0,"-1/16*(2*e^(2*x) + 1)*e^(-4*x) + 1/16*e^(4*x) + 1/8*e^(2*x)","B",0
227,1,27,0,0.110011," ","integrate(cosh(x)*cosh(4*x),x, algorithm=""giac"")","-\frac{1}{60} \, {\left(5 \, e^{\left(2 \, x\right)} + 3\right)} e^{\left(-5 \, x\right)} + \frac{1}{20} \, e^{\left(5 \, x\right)} + \frac{1}{12} \, e^{\left(3 \, x\right)}"," ",0,"-1/60*(5*e^(2*x) + 3)*e^(-5*x) + 1/20*e^(5*x) + 1/12*e^(3*x)","B",0
228,1,59,0,0.113671," ","integrate(cosh(x)*cosh(m*x),x, algorithm=""giac"")","\frac{e^{\left(m x + x\right)}}{4 \, {\left(m + 1\right)}} + \frac{e^{\left(m x - x\right)}}{4 \, {\left(m - 1\right)}} - \frac{e^{\left(-m x + x\right)}}{4 \, {\left(m - 1\right)}} - \frac{e^{\left(-m x - x\right)}}{4 \, {\left(m + 1\right)}}"," ",0,"1/4*e^(m*x + x)/(m + 1) + 1/4*e^(m*x - x)/(m - 1) - 1/4*e^(-m*x + x)/(m - 1) - 1/4*e^(-m*x - x)/(m + 1)","B",0
229,1,45,0,0.112863," ","integrate(cosh(x)*tanh(2*x),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} - e^{x}}{\sqrt{2} + e^{\left(-x\right)} + e^{x}}\right) + \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"1/4*sqrt(2)*log(-(sqrt(2) - e^(-x) - e^x)/(sqrt(2) + e^(-x) + e^x)) + 1/2*e^(-x) + 1/2*e^x","B",0
230,1,45,0,0.117944," ","integrate(cosh(x)*tanh(3*x),x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{3} \log\left(-\frac{\sqrt{3} - e^{\left(-x\right)} - e^{x}}{\sqrt{3} + e^{\left(-x\right)} + e^{x}}\right) + \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"1/6*sqrt(3)*log(-(sqrt(3) - e^(-x) - e^x)/(sqrt(3) + e^(-x) + e^x)) + 1/2*e^(-x) + 1/2*e^x","B",0
231,1,119,0,0.213546," ","integrate(cosh(x)*tanh(4*x),x, algorithm=""giac"")","-\frac{1}{8} \, \sqrt{\sqrt{2} + 2} \log\left(\sqrt{\sqrt{2} + 2} + e^{\left(-x\right)} + e^{x}\right) + \frac{1}{8} \, \sqrt{\sqrt{2} + 2} \log\left(-\sqrt{\sqrt{2} + 2} + e^{\left(-x\right)} + e^{x}\right) - \frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \log\left(\sqrt{-\sqrt{2} + 2} + e^{\left(-x\right)} + e^{x}\right) + \frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \log\left(-\sqrt{-\sqrt{2} + 2} + e^{\left(-x\right)} + e^{x}\right) + \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-1/8*sqrt(sqrt(2) + 2)*log(sqrt(sqrt(2) + 2) + e^(-x) + e^x) + 1/8*sqrt(sqrt(2) + 2)*log(-sqrt(sqrt(2) + 2) + e^(-x) + e^x) - 1/8*sqrt(-sqrt(2) + 2)*log(sqrt(-sqrt(2) + 2) + e^(-x) + e^x) + 1/8*sqrt(-sqrt(2) + 2)*log(-sqrt(-sqrt(2) + 2) + e^(-x) + e^x) + 1/2*e^(-x) + 1/2*e^x","B",0
232,1,127,0,0.178795," ","integrate(cosh(x)*tanh(5*x),x, algorithm=""giac"")","-\frac{1}{20} \, \sqrt{2 \, \sqrt{5} + 10} \log\left(\sqrt{\frac{1}{2} \, \sqrt{5} + \frac{5}{2}} + e^{\left(-x\right)} + e^{x}\right) + \frac{1}{20} \, \sqrt{2 \, \sqrt{5} + 10} \log\left(-\sqrt{\frac{1}{2} \, \sqrt{5} + \frac{5}{2}} + e^{\left(-x\right)} + e^{x}\right) - \frac{1}{20} \, \sqrt{-2 \, \sqrt{5} + 10} \log\left(\sqrt{-\frac{1}{2} \, \sqrt{5} + \frac{5}{2}} + e^{\left(-x\right)} + e^{x}\right) + \frac{1}{20} \, \sqrt{-2 \, \sqrt{5} + 10} \log\left(-\sqrt{-\frac{1}{2} \, \sqrt{5} + \frac{5}{2}} + e^{\left(-x\right)} + e^{x}\right) + \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-1/20*sqrt(2*sqrt(5) + 10)*log(sqrt(1/2*sqrt(5) + 5/2) + e^(-x) + e^x) + 1/20*sqrt(2*sqrt(5) + 10)*log(-sqrt(1/2*sqrt(5) + 5/2) + e^(-x) + e^x) - 1/20*sqrt(-2*sqrt(5) + 10)*log(sqrt(-1/2*sqrt(5) + 5/2) + e^(-x) + e^x) + 1/20*sqrt(-2*sqrt(5) + 10)*log(-sqrt(-1/2*sqrt(5) + 5/2) + e^(-x) + e^x) + 1/2*e^(-x) + 1/2*e^x","B",0
233,1,157,0,0.157282," ","integrate(cosh(x)*tanh(6*x),x, algorithm=""giac"")","-\frac{1}{24} \, {\left(\sqrt{6} + \sqrt{2}\right)} \log\left(\frac{1}{2} \, \sqrt{6} + \frac{1}{2} \, \sqrt{2} + e^{\left(-x\right)} + e^{x}\right) - \frac{1}{24} \, {\left(\sqrt{6} - \sqrt{2}\right)} \log\left(\frac{1}{2} \, \sqrt{6} - \frac{1}{2} \, \sqrt{2} + e^{\left(-x\right)} + e^{x}\right) + \frac{1}{24} \, {\left(\sqrt{6} - \sqrt{2}\right)} \log\left(-\frac{1}{2} \, \sqrt{6} + \frac{1}{2} \, \sqrt{2} + e^{\left(-x\right)} + e^{x}\right) + \frac{1}{24} \, {\left(\sqrt{6} + \sqrt{2}\right)} \log\left(-\frac{1}{2} \, \sqrt{6} - \frac{1}{2} \, \sqrt{2} + e^{\left(-x\right)} + e^{x}\right) + \frac{1}{12} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} - e^{x}}{\sqrt{2} + e^{\left(-x\right)} + e^{x}}\right) + \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-1/24*(sqrt(6) + sqrt(2))*log(1/2*sqrt(6) + 1/2*sqrt(2) + e^(-x) + e^x) - 1/24*(sqrt(6) - sqrt(2))*log(1/2*sqrt(6) - 1/2*sqrt(2) + e^(-x) + e^x) + 1/24*(sqrt(6) - sqrt(2))*log(-1/2*sqrt(6) + 1/2*sqrt(2) + e^(-x) + e^x) + 1/24*(sqrt(6) + sqrt(2))*log(-1/2*sqrt(6) - 1/2*sqrt(2) + e^(-x) + e^x) + 1/12*sqrt(2)*log(-(sqrt(2) - e^(-x) - e^x)/(sqrt(2) + e^(-x) + e^x)) + 1/2*e^(-x) + 1/2*e^x","B",0
234,1,26,0,0.111464," ","integrate(cosh(x)*coth(2*x),x, algorithm=""giac"")","\frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x} - \frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"1/2*e^(-x) + 1/2*e^x - 1/2*log(e^x + 1) + 1/2*log(abs(e^x - 1))","B",0
235,1,55,0,0.118779," ","integrate(cosh(x)*coth(3*x),x, algorithm=""giac"")","\frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x} - \frac{1}{6} \, \log\left(e^{\left(-x\right)} + e^{x} + 2\right) - \frac{1}{6} \, \log\left(e^{\left(-x\right)} + e^{x} + 1\right) + \frac{1}{6} \, \log\left(e^{\left(-x\right)} + e^{x} - 1\right) + \frac{1}{6} \, \log\left(e^{\left(-x\right)} + e^{x} - 2\right)"," ",0,"1/2*e^(-x) + 1/2*e^x - 1/6*log(e^(-x) + e^x + 2) - 1/6*log(e^(-x) + e^x + 1) + 1/6*log(e^(-x) + e^x - 1) + 1/6*log(e^(-x) + e^x - 2)","A",0
236,1,67,0,0.122221," ","integrate(cosh(x)*coth(4*x),x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} - e^{x}}{\sqrt{2} + e^{\left(-x\right)} + e^{x}}\right) + \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x} - \frac{1}{8} \, \log\left(e^{\left(-x\right)} + e^{x} + 2\right) + \frac{1}{8} \, \log\left(e^{\left(-x\right)} + e^{x} - 2\right)"," ",0,"1/8*sqrt(2)*log(-(sqrt(2) - e^(-x) - e^x)/(sqrt(2) + e^(-x) + e^x)) + 1/2*e^(-x) + 1/2*e^x - 1/8*log(e^(-x) + e^x + 2) + 1/8*log(e^(-x) + e^x - 2)","B",0
237,1,157,0,0.155466," ","integrate(cosh(x)*coth(5*x),x, algorithm=""giac"")","\frac{1}{20} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - 2 \, e^{\left(-x\right)} - 2 \, e^{x} + 1}{\sqrt{5} + 2 \, e^{\left(-x\right)} + 2 \, e^{x} - 1}\right) + \frac{1}{20} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - 2 \, e^{\left(-x\right)} - 2 \, e^{x} - 1}{\sqrt{5} + 2 \, e^{\left(-x\right)} + 2 \, e^{x} + 1}\right) + \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x} - \frac{1}{20} \, \log\left({\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + e^{\left(-x\right)} + e^{x} - 1\right) + \frac{1}{20} \, \log\left({\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - e^{\left(-x\right)} - e^{x} - 1\right) - \frac{1}{10} \, \log\left(e^{\left(-x\right)} + e^{x} + 2\right) + \frac{1}{10} \, \log\left(e^{\left(-x\right)} + e^{x} - 2\right)"," ",0,"1/20*sqrt(5)*log(-(sqrt(5) - 2*e^(-x) - 2*e^x + 1)/(sqrt(5) + 2*e^(-x) + 2*e^x - 1)) + 1/20*sqrt(5)*log(-(sqrt(5) - 2*e^(-x) - 2*e^x - 1)/(sqrt(5) + 2*e^(-x) + 2*e^x + 1)) + 1/2*e^(-x) + 1/2*e^x - 1/20*log((e^(-x) + e^x)^2 + e^(-x) + e^x - 1) + 1/20*log((e^(-x) + e^x)^2 - e^(-x) - e^x - 1) - 1/10*log(e^(-x) + e^x + 2) + 1/10*log(e^(-x) + e^x - 2)","A",0
238,1,89,0,0.119404," ","integrate(cosh(x)*coth(6*x),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{3} \log\left(-\frac{\sqrt{3} - e^{\left(-x\right)} - e^{x}}{\sqrt{3} + e^{\left(-x\right)} + e^{x}}\right) + \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x} - \frac{1}{12} \, \log\left(e^{\left(-x\right)} + e^{x} + 2\right) - \frac{1}{12} \, \log\left(e^{\left(-x\right)} + e^{x} + 1\right) + \frac{1}{12} \, \log\left(e^{\left(-x\right)} + e^{x} - 1\right) + \frac{1}{12} \, \log\left(e^{\left(-x\right)} + e^{x} - 2\right)"," ",0,"1/12*sqrt(3)*log(-(sqrt(3) - e^(-x) - e^x)/(sqrt(3) + e^(-x) + e^x)) + 1/2*e^(-x) + 1/2*e^x - 1/12*log(e^(-x) + e^x + 2) - 1/12*log(e^(-x) + e^x + 1) + 1/12*log(e^(-x) + e^x - 1) + 1/12*log(e^(-x) + e^x - 2)","B",0
239,0,0,0,0.000000," ","integrate(cosh(x)*coth(n*x),x, algorithm=""giac"")","\int \cosh\left(x\right) \coth\left(n x\right)\,{d x}"," ",0,"integrate(cosh(x)*coth(n*x), x)","F",0
240,1,39,0,0.133563," ","integrate(cosh(x)*sech(2*x),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) + \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right)"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) + 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x))","B",0
241,1,19,0,0.130841," ","integrate(cosh(x)*sech(3*x),x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{\left(2 \, x\right)} - 1\right)}\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*e^(2*x) - 1))","A",0
242,1,135,0,0.217733," ","integrate(cosh(x)*sech(4*x),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{\sqrt{2} + 2} \arctan\left(\frac{\sqrt{\sqrt{2} + 2} + 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{4} \, \sqrt{\sqrt{2} + 2} \arctan\left(-\frac{\sqrt{\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{4} \, \sqrt{-\sqrt{2} + 2} \arctan\left(\frac{\sqrt{-\sqrt{2} + 2} + 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) - \frac{1}{4} \, \sqrt{-\sqrt{2} + 2} \arctan\left(-\frac{\sqrt{-\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right)"," ",0,"1/4*sqrt(sqrt(2) + 2)*arctan((sqrt(sqrt(2) + 2) + 2*e^x)/sqrt(-sqrt(2) + 2)) + 1/4*sqrt(sqrt(2) + 2)*arctan(-(sqrt(sqrt(2) + 2) - 2*e^x)/sqrt(-sqrt(2) + 2)) - 1/4*sqrt(-sqrt(2) + 2)*arctan((sqrt(-sqrt(2) + 2) + 2*e^x)/sqrt(sqrt(2) + 2)) - 1/4*sqrt(-sqrt(2) + 2)*arctan(-(sqrt(-sqrt(2) + 2) - 2*e^x)/sqrt(sqrt(2) + 2))","B",0
243,1,68,0,0.161311," ","integrate(cosh(x)*sech(5*x),x, algorithm=""giac"")","-\frac{1}{10} \, \sqrt{-2 \, \sqrt{5} + 10} \arctan\left(\frac{\sqrt{5} + 4 \, e^{\left(2 \, x\right)} - 1}{\sqrt{2 \, \sqrt{5} + 10}}\right) + \frac{1}{10} \, \sqrt{2 \, \sqrt{5} + 10} \arctan\left(-\frac{\sqrt{5} - 4 \, e^{\left(2 \, x\right)} + 1}{\sqrt{-2 \, \sqrt{5} + 10}}\right)"," ",0,"-1/10*sqrt(-2*sqrt(5) + 10)*arctan((sqrt(5) + 4*e^(2*x) - 1)/sqrt(2*sqrt(5) + 10)) + 1/10*sqrt(2*sqrt(5) + 10)*arctan(-(sqrt(5) - 4*e^(2*x) + 1)/sqrt(-2*sqrt(5) + 10))","A",0
244,1,177,0,0.131133," ","integrate(cosh(x)*sech(6*x),x, algorithm=""giac"")","\frac{1}{12} \, {\left(\sqrt{6} - \sqrt{2}\right)} \arctan\left(\frac{\sqrt{6} - \sqrt{2} + 4 \, e^{x}}{\sqrt{6} + \sqrt{2}}\right) + \frac{1}{12} \, {\left(\sqrt{6} - \sqrt{2}\right)} \arctan\left(-\frac{\sqrt{6} - \sqrt{2} - 4 \, e^{x}}{\sqrt{6} + \sqrt{2}}\right) + \frac{1}{12} \, {\left(\sqrt{6} + \sqrt{2}\right)} \arctan\left(\frac{\sqrt{6} + \sqrt{2} + 4 \, e^{x}}{\sqrt{6} - \sqrt{2}}\right) + \frac{1}{12} \, {\left(\sqrt{6} + \sqrt{2}\right)} \arctan\left(-\frac{\sqrt{6} + \sqrt{2} - 4 \, e^{x}}{\sqrt{6} - \sqrt{2}}\right) - \frac{1}{6} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) - \frac{1}{6} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right)"," ",0,"1/12*(sqrt(6) - sqrt(2))*arctan((sqrt(6) - sqrt(2) + 4*e^x)/(sqrt(6) + sqrt(2))) + 1/12*(sqrt(6) - sqrt(2))*arctan(-(sqrt(6) - sqrt(2) - 4*e^x)/(sqrt(6) + sqrt(2))) + 1/12*(sqrt(6) + sqrt(2))*arctan((sqrt(6) + sqrt(2) + 4*e^x)/(sqrt(6) - sqrt(2))) + 1/12*(sqrt(6) + sqrt(2))*arctan(-(sqrt(6) + sqrt(2) - 4*e^x)/(sqrt(6) - sqrt(2))) - 1/6*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) - 1/6*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x))","B",0
245,1,16,0,0.132718," ","integrate(cosh(x)*csch(2*x),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/2*log(e^x + 1) + 1/2*log(abs(e^x - 1))","B",0
246,1,40,0,0.111974," ","integrate(cosh(x)*csch(3*x),x, algorithm=""giac"")","-\frac{1}{6} \, \log\left(e^{\left(2 \, x\right)} + e^{x} + 1\right) - \frac{1}{6} \, \log\left(e^{\left(2 \, x\right)} - e^{x} + 1\right) + \frac{1}{3} \, \log\left(e^{x} + 1\right) + \frac{1}{3} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/6*log(e^(2*x) + e^x + 1) - 1/6*log(e^(2*x) - e^x + 1) + 1/3*log(e^x + 1) + 1/3*log(abs(e^x - 1))","B",0
247,1,57,0,0.117146," ","integrate(cosh(x)*csch(4*x),x, algorithm=""giac"")","-\frac{1}{8} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - e^{\left(-x\right)} - e^{x}}{\sqrt{2} + e^{\left(-x\right)} + e^{x}}\right) - \frac{1}{8} \, \log\left(e^{\left(-x\right)} + e^{x} + 2\right) + \frac{1}{8} \, \log\left(e^{\left(-x\right)} + e^{x} - 2\right)"," ",0,"-1/8*sqrt(2)*log(-(sqrt(2) - e^(-x) - e^x)/(sqrt(2) + e^(-x) + e^x)) - 1/8*log(e^(-x) + e^x + 2) + 1/8*log(e^(-x) + e^x - 2)","B",0
248,1,108,0,0.137046," ","integrate(cosh(x)*csch(5*x),x, algorithm=""giac"")","-\frac{1}{20} \, {\left(\sqrt{5} + 1\right)} \log\left(\frac{1}{2} \, {\left(\sqrt{5} + 1\right)} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{20} \, {\left(\sqrt{5} + 1\right)} \log\left(-\frac{1}{2} \, {\left(\sqrt{5} + 1\right)} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{20} \, {\left(\sqrt{5} - 1\right)} \log\left(\frac{1}{2} \, {\left(\sqrt{5} - 1\right)} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{20} \, {\left(\sqrt{5} - 1\right)} \log\left(-\frac{1}{2} \, {\left(\sqrt{5} - 1\right)} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{5} \, \log\left(e^{x} + 1\right) + \frac{1}{5} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/20*(sqrt(5) + 1)*log(1/2*(sqrt(5) + 1)*e^x + e^(2*x) + 1) - 1/20*(sqrt(5) + 1)*log(-1/2*(sqrt(5) + 1)*e^x + e^(2*x) + 1) + 1/20*(sqrt(5) - 1)*log(1/2*(sqrt(5) - 1)*e^x + e^(2*x) + 1) + 1/20*(sqrt(5) - 1)*log(-1/2*(sqrt(5) - 1)*e^x + e^(2*x) + 1) + 1/5*log(e^x + 1) + 1/5*log(abs(e^x - 1))","B",0
249,1,79,0,0.124434," ","integrate(cosh(x)*csch(6*x),x, algorithm=""giac"")","-\frac{1}{12} \, \sqrt{3} \log\left(-\frac{\sqrt{3} - e^{\left(-x\right)} - e^{x}}{\sqrt{3} + e^{\left(-x\right)} + e^{x}}\right) - \frac{1}{12} \, \log\left(e^{\left(-x\right)} + e^{x} + 2\right) - \frac{1}{12} \, \log\left(e^{\left(-x\right)} + e^{x} + 1\right) + \frac{1}{12} \, \log\left(e^{\left(-x\right)} + e^{x} - 1\right) + \frac{1}{12} \, \log\left(e^{\left(-x\right)} + e^{x} - 2\right)"," ",0,"-1/12*sqrt(3)*log(-(sqrt(3) - e^(-x) - e^x)/(sqrt(3) + e^(-x) + e^x)) - 1/12*log(e^(-x) + e^x + 2) - 1/12*log(e^(-x) + e^x + 1) + 1/12*log(e^(-x) + e^x - 1) + 1/12*log(e^(-x) + e^x - 2)","B",0
250,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)*sinh(b*x+a),x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right) \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)*sinh(b*x + a), x)","F",0
251,1,73,0,0.131444," ","integrate(x^3*cosh(b*x+a)*sinh(b*x+a),x, algorithm=""giac"")","\frac{{\left(4 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, b x - 3\right)} e^{\left(2 \, b x + 2 \, a\right)}}{32 \, b^{4}} + \frac{{\left(4 \, b^{3} x^{3} + 6 \, b^{2} x^{2} + 6 \, b x + 3\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{32 \, b^{4}}"," ",0,"1/32*(4*b^3*x^3 - 6*b^2*x^2 + 6*b*x - 3)*e^(2*b*x + 2*a)/b^4 + 1/32*(4*b^3*x^3 + 6*b^2*x^2 + 6*b*x + 3)*e^(-2*b*x - 2*a)/b^4","A",0
252,1,57,0,0.111721," ","integrate(x^2*cosh(b*x+a)*sinh(b*x+a),x, algorithm=""giac"")","\frac{{\left(2 \, b^{2} x^{2} - 2 \, b x + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{16 \, b^{3}} + \frac{{\left(2 \, b^{2} x^{2} + 2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{16 \, b^{3}}"," ",0,"1/16*(2*b^2*x^2 - 2*b*x + 1)*e^(2*b*x + 2*a)/b^3 + 1/16*(2*b^2*x^2 + 2*b*x + 1)*e^(-2*b*x - 2*a)/b^3","A",0
253,1,41,0,0.115108," ","integrate(x*cosh(b*x+a)*sinh(b*x+a),x, algorithm=""giac"")","\frac{{\left(2 \, b x - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{16 \, b^{2}} + \frac{{\left(2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{16 \, b^{2}}"," ",0,"1/16*(2*b*x - 1)*e^(2*b*x + 2*a)/b^2 + 1/16*(2*b*x + 1)*e^(-2*b*x - 2*a)/b^2","A",0
254,1,29,0,0.131545," ","integrate(cosh(b*x+a)*sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(2 \, b x + 2 \, a\right)}}{8 \, b} + \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{8 \, b}"," ",0,"1/8*e^(2*b*x + 2*a)/b + 1/8*e^(-2*b*x - 2*a)/b","B",0
255,1,23,0,0.110273," ","integrate(cosh(b*x+a)*sinh(b*x+a)/x,x, algorithm=""giac"")","\frac{1}{4} \, {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} - \frac{1}{4} \, {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)}"," ",0,"1/4*Ei(2*b*x)*e^(2*a) - 1/4*Ei(-2*b*x)*e^(-2*a)","A",0
256,1,52,0,0.137310," ","integrate(cosh(b*x+a)*sinh(b*x+a)/x^2,x, algorithm=""giac"")","\frac{2 \, b x {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} + 2 \, b x {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)} - e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)}}{4 \, x}"," ",0,"1/4*(2*b*x*Ei(2*b*x)*e^(2*a) + 2*b*x*Ei(-2*b*x)*e^(-2*a) - e^(2*b*x + 2*a) + e^(-2*b*x - 2*a))/x","A",0
257,1,86,0,0.114325," ","integrate(cosh(b*x+a)*sinh(b*x+a)/x^3,x, algorithm=""giac"")","\frac{4 \, b^{2} x^{2} {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} - 4 \, b^{2} x^{2} {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)} - 2 \, b x e^{\left(2 \, b x + 2 \, a\right)} - 2 \, b x e^{\left(-2 \, b x - 2 \, a\right)} - e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)}}{8 \, x^{2}}"," ",0,"1/8*(4*b^2*x^2*Ei(2*b*x)*e^(2*a) - 4*b^2*x^2*Ei(-2*b*x)*e^(-2*a) - 2*b*x*e^(2*b*x + 2*a) - 2*b*x*e^(-2*b*x - 2*a) - e^(2*b*x + 2*a) + e^(-2*b*x - 2*a))/x^2","A",0
258,1,120,0,0.117125," ","integrate(cosh(b*x+a)*sinh(b*x+a)/x^4,x, algorithm=""giac"")","\frac{4 \, b^{3} x^{3} {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} + 4 \, b^{3} x^{3} {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)} - 2 \, b^{2} x^{2} e^{\left(2 \, b x + 2 \, a\right)} + 2 \, b^{2} x^{2} e^{\left(-2 \, b x - 2 \, a\right)} - b x e^{\left(2 \, b x + 2 \, a\right)} - b x e^{\left(-2 \, b x - 2 \, a\right)} - e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)}}{12 \, x^{3}}"," ",0,"1/12*(4*b^3*x^3*Ei(2*b*x)*e^(2*a) + 4*b^3*x^3*Ei(-2*b*x)*e^(-2*a) - 2*b^2*x^2*e^(2*b*x + 2*a) + 2*b^2*x^2*e^(-2*b*x - 2*a) - b*x*e^(2*b*x + 2*a) - b*x*e^(-2*b*x - 2*a) - e^(2*b*x + 2*a) + e^(-2*b*x - 2*a))/x^3","A",0
259,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)^2*sinh(b*x+a),x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)^2*sinh(b*x + a), x)","F",0
260,1,140,0,0.131779," ","integrate(x^3*cosh(b*x+a)^2*sinh(b*x+a),x, algorithm=""giac"")","\frac{{\left(9 \, b^{3} x^{3} - 9 \, b^{2} x^{2} + 6 \, b x - 2\right)} e^{\left(3 \, b x + 3 \, a\right)}}{216 \, b^{4}} + \frac{{\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} e^{\left(b x + a\right)}}{8 \, b^{4}} + \frac{{\left(b^{3} x^{3} + 3 \, b^{2} x^{2} + 6 \, b x + 6\right)} e^{\left(-b x - a\right)}}{8 \, b^{4}} + \frac{{\left(9 \, b^{3} x^{3} + 9 \, b^{2} x^{2} + 6 \, b x + 2\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{216 \, b^{4}}"," ",0,"1/216*(9*b^3*x^3 - 9*b^2*x^2 + 6*b*x - 2)*e^(3*b*x + 3*a)/b^4 + 1/8*(b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*e^(b*x + a)/b^4 + 1/8*(b^3*x^3 + 3*b^2*x^2 + 6*b*x + 6)*e^(-b*x - a)/b^4 + 1/216*(9*b^3*x^3 + 9*b^2*x^2 + 6*b*x + 2)*e^(-3*b*x - 3*a)/b^4","A",0
261,1,108,0,0.122631," ","integrate(x^2*cosh(b*x+a)^2*sinh(b*x+a),x, algorithm=""giac"")","\frac{{\left(9 \, b^{2} x^{2} - 6 \, b x + 2\right)} e^{\left(3 \, b x + 3 \, a\right)}}{216 \, b^{3}} + \frac{{\left(b^{2} x^{2} - 2 \, b x + 2\right)} e^{\left(b x + a\right)}}{8 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, b x + 2\right)} e^{\left(-b x - a\right)}}{8 \, b^{3}} + \frac{{\left(9 \, b^{2} x^{2} + 6 \, b x + 2\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{216 \, b^{3}}"," ",0,"1/216*(9*b^2*x^2 - 6*b*x + 2)*e^(3*b*x + 3*a)/b^3 + 1/8*(b^2*x^2 - 2*b*x + 2)*e^(b*x + a)/b^3 + 1/8*(b^2*x^2 + 2*b*x + 2)*e^(-b*x - a)/b^3 + 1/216*(9*b^2*x^2 + 6*b*x + 2)*e^(-3*b*x - 3*a)/b^3","A",0
262,1,76,0,0.119245," ","integrate(x*cosh(b*x+a)^2*sinh(b*x+a),x, algorithm=""giac"")","\frac{{\left(3 \, b x - 1\right)} e^{\left(3 \, b x + 3 \, a\right)}}{72 \, b^{2}} + \frac{{\left(b x - 1\right)} e^{\left(b x + a\right)}}{8 \, b^{2}} + \frac{{\left(b x + 1\right)} e^{\left(-b x - a\right)}}{8 \, b^{2}} + \frac{{\left(3 \, b x + 1\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{72 \, b^{2}}"," ",0,"1/72*(3*b*x - 1)*e^(3*b*x + 3*a)/b^2 + 1/8*(b*x - 1)*e^(b*x + a)/b^2 + 1/8*(b*x + 1)*e^(-b*x - a)/b^2 + 1/72*(3*b*x + 1)*e^(-3*b*x - 3*a)/b^2","A",0
263,1,54,0,0.139095," ","integrate(cosh(b*x+a)^2*sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + 3 \, a\right)}}{24 \, b} + \frac{e^{\left(b x + a\right)}}{8 \, b} + \frac{e^{\left(-b x - a\right)}}{8 \, b} + \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{24 \, b}"," ",0,"1/24*e^(3*b*x + 3*a)/b + 1/8*e^(b*x + a)/b + 1/8*e^(-b*x - a)/b + 1/24*e^(-3*b*x - 3*a)/b","B",0
264,1,42,0,0.116045," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)/x,x, algorithm=""giac"")","\frac{1}{8} \, {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} - \frac{1}{8} \, {\rm Ei}\left(-b x\right) e^{\left(-a\right)} - \frac{1}{8} \, {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} + \frac{1}{8} \, {\rm Ei}\left(b x\right) e^{a}"," ",0,"1/8*Ei(3*b*x)*e^(3*a) - 1/8*Ei(-b*x)*e^(-a) - 1/8*Ei(-3*b*x)*e^(-3*a) + 1/8*Ei(b*x)*e^a","A",0
265,1,90,0,0.137851," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)/x^2,x, algorithm=""giac"")","\frac{3 \, b x {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} + b x {\rm Ei}\left(-b x\right) e^{\left(-a\right)} + 3 \, b x {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} + b x {\rm Ei}\left(b x\right) e^{a} - e^{\left(3 \, b x + 3 \, a\right)} - e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} + e^{\left(-3 \, b x - 3 \, a\right)}}{8 \, x}"," ",0,"1/8*(3*b*x*Ei(3*b*x)*e^(3*a) + b*x*Ei(-b*x)*e^(-a) + 3*b*x*Ei(-3*b*x)*e^(-3*a) + b*x*Ei(b*x)*e^a - e^(3*b*x + 3*a) - e^(b*x + a) + e^(-b*x - a) + e^(-3*b*x - 3*a))/x","A",0
266,1,156,0,0.138070," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)/x^3,x, algorithm=""giac"")","\frac{9 \, b^{2} x^{2} {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} - b^{2} x^{2} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} - 9 \, b^{2} x^{2} {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} + b^{2} x^{2} {\rm Ei}\left(b x\right) e^{a} - 3 \, b x e^{\left(3 \, b x + 3 \, a\right)} - b x e^{\left(b x + a\right)} - b x e^{\left(-b x - a\right)} - 3 \, b x e^{\left(-3 \, b x - 3 \, a\right)} - e^{\left(3 \, b x + 3 \, a\right)} - e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} + e^{\left(-3 \, b x - 3 \, a\right)}}{16 \, x^{2}}"," ",0,"1/16*(9*b^2*x^2*Ei(3*b*x)*e^(3*a) - b^2*x^2*Ei(-b*x)*e^(-a) - 9*b^2*x^2*Ei(-3*b*x)*e^(-3*a) + b^2*x^2*Ei(b*x)*e^a - 3*b*x*e^(3*b*x + 3*a) - b*x*e^(b*x + a) - b*x*e^(-b*x - a) - 3*b*x*e^(-3*b*x - 3*a) - e^(3*b*x + 3*a) - e^(b*x + a) + e^(-b*x - a) + e^(-3*b*x - 3*a))/x^2","A",0
267,1,223,0,0.140399," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)/x^4,x, algorithm=""giac"")","\frac{27 \, b^{3} x^{3} {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} + b^{3} x^{3} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} + 27 \, b^{3} x^{3} {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} + b^{3} x^{3} {\rm Ei}\left(b x\right) e^{a} - 9 \, b^{2} x^{2} e^{\left(3 \, b x + 3 \, a\right)} - b^{2} x^{2} e^{\left(b x + a\right)} + b^{2} x^{2} e^{\left(-b x - a\right)} + 9 \, b^{2} x^{2} e^{\left(-3 \, b x - 3 \, a\right)} - 3 \, b x e^{\left(3 \, b x + 3 \, a\right)} - b x e^{\left(b x + a\right)} - b x e^{\left(-b x - a\right)} - 3 \, b x e^{\left(-3 \, b x - 3 \, a\right)} - 2 \, e^{\left(3 \, b x + 3 \, a\right)} - 2 \, e^{\left(b x + a\right)} + 2 \, e^{\left(-b x - a\right)} + 2 \, e^{\left(-3 \, b x - 3 \, a\right)}}{48 \, x^{3}}"," ",0,"1/48*(27*b^3*x^3*Ei(3*b*x)*e^(3*a) + b^3*x^3*Ei(-b*x)*e^(-a) + 27*b^3*x^3*Ei(-3*b*x)*e^(-3*a) + b^3*x^3*Ei(b*x)*e^a - 9*b^2*x^2*e^(3*b*x + 3*a) - b^2*x^2*e^(b*x + a) + b^2*x^2*e^(-b*x - a) + 9*b^2*x^2*e^(-3*b*x - 3*a) - 3*b*x*e^(3*b*x + 3*a) - b*x*e^(b*x + a) - b*x*e^(-b*x - a) - 3*b*x*e^(-3*b*x - 3*a) - 2*e^(3*b*x + 3*a) - 2*e^(b*x + a) + 2*e^(-b*x - a) + 2*e^(-3*b*x - 3*a))/x^3","A",0
268,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)^3*sinh(b*x + a), x)","F",0
269,1,145,0,0.144027," ","integrate(x^3*cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""giac"")","\frac{{\left(32 \, b^{3} x^{3} - 24 \, b^{2} x^{2} + 12 \, b x - 3\right)} e^{\left(4 \, b x + 4 \, a\right)}}{2048 \, b^{4}} + \frac{{\left(4 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, b x - 3\right)} e^{\left(2 \, b x + 2 \, a\right)}}{64 \, b^{4}} + \frac{{\left(4 \, b^{3} x^{3} + 6 \, b^{2} x^{2} + 6 \, b x + 3\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{64 \, b^{4}} + \frac{{\left(32 \, b^{3} x^{3} + 24 \, b^{2} x^{2} + 12 \, b x + 3\right)} e^{\left(-4 \, b x - 4 \, a\right)}}{2048 \, b^{4}}"," ",0,"1/2048*(32*b^3*x^3 - 24*b^2*x^2 + 12*b*x - 3)*e^(4*b*x + 4*a)/b^4 + 1/64*(4*b^3*x^3 - 6*b^2*x^2 + 6*b*x - 3)*e^(2*b*x + 2*a)/b^4 + 1/64*(4*b^3*x^3 + 6*b^2*x^2 + 6*b*x + 3)*e^(-2*b*x - 2*a)/b^4 + 1/2048*(32*b^3*x^3 + 24*b^2*x^2 + 12*b*x + 3)*e^(-4*b*x - 4*a)/b^4","A",0
270,1,113,0,0.117043," ","integrate(x^2*cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""giac"")","\frac{{\left(8 \, b^{2} x^{2} - 4 \, b x + 1\right)} e^{\left(4 \, b x + 4 \, a\right)}}{512 \, b^{3}} + \frac{{\left(2 \, b^{2} x^{2} - 2 \, b x + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{32 \, b^{3}} + \frac{{\left(2 \, b^{2} x^{2} + 2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{32 \, b^{3}} + \frac{{\left(8 \, b^{2} x^{2} + 4 \, b x + 1\right)} e^{\left(-4 \, b x - 4 \, a\right)}}{512 \, b^{3}}"," ",0,"1/512*(8*b^2*x^2 - 4*b*x + 1)*e^(4*b*x + 4*a)/b^3 + 1/32*(2*b^2*x^2 - 2*b*x + 1)*e^(2*b*x + 2*a)/b^3 + 1/32*(2*b^2*x^2 + 2*b*x + 1)*e^(-2*b*x - 2*a)/b^3 + 1/512*(8*b^2*x^2 + 4*b*x + 1)*e^(-4*b*x - 4*a)/b^3","A",0
271,1,81,0,0.137597," ","integrate(x*cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""giac"")","\frac{{\left(4 \, b x - 1\right)} e^{\left(4 \, b x + 4 \, a\right)}}{256 \, b^{2}} + \frac{{\left(2 \, b x - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{32 \, b^{2}} + \frac{{\left(2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{32 \, b^{2}} + \frac{{\left(4 \, b x + 1\right)} e^{\left(-4 \, b x - 4 \, a\right)}}{256 \, b^{2}}"," ",0,"1/256*(4*b*x - 1)*e^(4*b*x + 4*a)/b^2 + 1/32*(2*b*x - 1)*e^(2*b*x + 2*a)/b^2 + 1/32*(2*b*x + 1)*e^(-2*b*x - 2*a)/b^2 + 1/256*(4*b*x + 1)*e^(-4*b*x - 4*a)/b^2","A",0
272,1,57,0,0.141020," ","integrate(cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(4 \, b x + 4 \, a\right)}}{64 \, b} + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{16 \, b} + \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{16 \, b} + \frac{e^{\left(-4 \, b x - 4 \, a\right)}}{64 \, b}"," ",0,"1/64*e^(4*b*x + 4*a)/b + 1/16*e^(2*b*x + 2*a)/b + 1/16*e^(-2*b*x - 2*a)/b + 1/64*e^(-4*b*x - 4*a)/b","B",0
273,1,45,0,0.121795," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)/x,x, algorithm=""giac"")","\frac{1}{16} \, {\rm Ei}\left(4 \, b x\right) e^{\left(4 \, a\right)} + \frac{1}{8} \, {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} - \frac{1}{8} \, {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)} - \frac{1}{16} \, {\rm Ei}\left(-4 \, b x\right) e^{\left(-4 \, a\right)}"," ",0,"1/16*Ei(4*b*x)*e^(4*a) + 1/8*Ei(2*b*x)*e^(2*a) - 1/8*Ei(-2*b*x)*e^(-2*a) - 1/16*Ei(-4*b*x)*e^(-4*a)","A",0
274,1,100,0,0.120467," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)/x^2,x, algorithm=""giac"")","\frac{4 \, b x {\rm Ei}\left(4 \, b x\right) e^{\left(4 \, a\right)} + 4 \, b x {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} + 4 \, b x {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)} + 4 \, b x {\rm Ei}\left(-4 \, b x\right) e^{\left(-4 \, a\right)} - e^{\left(4 \, b x + 4 \, a\right)} - 2 \, e^{\left(2 \, b x + 2 \, a\right)} + 2 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-4 \, b x - 4 \, a\right)}}{16 \, x}"," ",0,"1/16*(4*b*x*Ei(4*b*x)*e^(4*a) + 4*b*x*Ei(2*b*x)*e^(2*a) + 4*b*x*Ei(-2*b*x)*e^(-2*a) + 4*b*x*Ei(-4*b*x)*e^(-4*a) - e^(4*b*x + 4*a) - 2*e^(2*b*x + 2*a) + 2*e^(-2*b*x - 2*a) + e^(-4*b*x - 4*a))/x","A",0
275,1,168,0,0.145154," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)/x^3,x, algorithm=""giac"")","\frac{16 \, b^{2} x^{2} {\rm Ei}\left(4 \, b x\right) e^{\left(4 \, a\right)} + 8 \, b^{2} x^{2} {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} - 8 \, b^{2} x^{2} {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)} - 16 \, b^{2} x^{2} {\rm Ei}\left(-4 \, b x\right) e^{\left(-4 \, a\right)} - 4 \, b x e^{\left(4 \, b x + 4 \, a\right)} - 4 \, b x e^{\left(2 \, b x + 2 \, a\right)} - 4 \, b x e^{\left(-2 \, b x - 2 \, a\right)} - 4 \, b x e^{\left(-4 \, b x - 4 \, a\right)} - e^{\left(4 \, b x + 4 \, a\right)} - 2 \, e^{\left(2 \, b x + 2 \, a\right)} + 2 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-4 \, b x - 4 \, a\right)}}{32 \, x^{2}}"," ",0,"1/32*(16*b^2*x^2*Ei(4*b*x)*e^(4*a) + 8*b^2*x^2*Ei(2*b*x)*e^(2*a) - 8*b^2*x^2*Ei(-2*b*x)*e^(-2*a) - 16*b^2*x^2*Ei(-4*b*x)*e^(-4*a) - 4*b*x*e^(4*b*x + 4*a) - 4*b*x*e^(2*b*x + 2*a) - 4*b*x*e^(-2*b*x - 2*a) - 4*b*x*e^(-4*b*x - 4*a) - e^(4*b*x + 4*a) - 2*e^(2*b*x + 2*a) + 2*e^(-2*b*x - 2*a) + e^(-4*b*x - 4*a))/x^2","A",0
276,1,236,0,0.143210," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)/x^4,x, algorithm=""giac"")","\frac{32 \, b^{3} x^{3} {\rm Ei}\left(4 \, b x\right) e^{\left(4 \, a\right)} + 8 \, b^{3} x^{3} {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} + 8 \, b^{3} x^{3} {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)} + 32 \, b^{3} x^{3} {\rm Ei}\left(-4 \, b x\right) e^{\left(-4 \, a\right)} - 8 \, b^{2} x^{2} e^{\left(4 \, b x + 4 \, a\right)} - 4 \, b^{2} x^{2} e^{\left(2 \, b x + 2 \, a\right)} + 4 \, b^{2} x^{2} e^{\left(-2 \, b x - 2 \, a\right)} + 8 \, b^{2} x^{2} e^{\left(-4 \, b x - 4 \, a\right)} - 2 \, b x e^{\left(4 \, b x + 4 \, a\right)} - 2 \, b x e^{\left(2 \, b x + 2 \, a\right)} - 2 \, b x e^{\left(-2 \, b x - 2 \, a\right)} - 2 \, b x e^{\left(-4 \, b x - 4 \, a\right)} - e^{\left(4 \, b x + 4 \, a\right)} - 2 \, e^{\left(2 \, b x + 2 \, a\right)} + 2 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-4 \, b x - 4 \, a\right)}}{48 \, x^{3}}"," ",0,"1/48*(32*b^3*x^3*Ei(4*b*x)*e^(4*a) + 8*b^3*x^3*Ei(2*b*x)*e^(2*a) + 8*b^3*x^3*Ei(-2*b*x)*e^(-2*a) + 32*b^3*x^3*Ei(-4*b*x)*e^(-4*a) - 8*b^2*x^2*e^(4*b*x + 4*a) - 4*b^2*x^2*e^(2*b*x + 2*a) + 4*b^2*x^2*e^(-2*b*x - 2*a) + 8*b^2*x^2*e^(-4*b*x - 4*a) - 2*b*x*e^(4*b*x + 4*a) - 2*b*x*e^(2*b*x + 2*a) - 2*b*x*e^(-2*b*x - 2*a) - 2*b*x*e^(-4*b*x - 4*a) - e^(4*b*x + 4*a) - 2*e^(2*b*x + 2*a) + 2*e^(-2*b*x - 2*a) + e^(-4*b*x - 4*a))/x^3","A",0
277,1,13,0,0.129338," ","integrate(cosh(x)*sinh(x)/x,x, algorithm=""giac"")","\frac{1}{4} \, {\rm Ei}\left(2 \, x\right) - \frac{1}{4} \, {\rm Ei}\left(-2 \, x\right)"," ",0,"1/4*Ei(2*x) - 1/4*Ei(-2*x)","B",0
278,1,30,0,0.115171," ","integrate(cosh(x)*sinh(x)/x^2,x, algorithm=""giac"")","\frac{2 \, x {\rm Ei}\left(2 \, x\right) + 2 \, x {\rm Ei}\left(-2 \, x\right) - e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}}{4 \, x}"," ",0,"1/4*(2*x*Ei(2*x) + 2*x*Ei(-2*x) - e^(2*x) + e^(-2*x))/x","B",0
279,1,48,0,0.113735," ","integrate(cosh(x)*sinh(x)/x^3,x, algorithm=""giac"")","\frac{4 \, x^{2} {\rm Ei}\left(2 \, x\right) - 4 \, x^{2} {\rm Ei}\left(-2 \, x\right) - 2 \, x e^{\left(2 \, x\right)} - 2 \, x e^{\left(-2 \, x\right)} - e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}}{8 \, x^{2}}"," ",0,"1/8*(4*x^2*Ei(2*x) - 4*x^2*Ei(-2*x) - 2*x*e^(2*x) - 2*x*e^(-2*x) - e^(2*x) + e^(-2*x))/x^2","B",0
280,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)*sinh(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)*sinh(b*x + a)^2, x)","F",0
281,1,140,0,0.121530," ","integrate(x^3*cosh(b*x+a)*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(9 \, b^{3} x^{3} - 9 \, b^{2} x^{2} + 6 \, b x - 2\right)} e^{\left(3 \, b x + 3 \, a\right)}}{216 \, b^{4}} - \frac{{\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} e^{\left(b x + a\right)}}{8 \, b^{4}} + \frac{{\left(b^{3} x^{3} + 3 \, b^{2} x^{2} + 6 \, b x + 6\right)} e^{\left(-b x - a\right)}}{8 \, b^{4}} - \frac{{\left(9 \, b^{3} x^{3} + 9 \, b^{2} x^{2} + 6 \, b x + 2\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{216 \, b^{4}}"," ",0,"1/216*(9*b^3*x^3 - 9*b^2*x^2 + 6*b*x - 2)*e^(3*b*x + 3*a)/b^4 - 1/8*(b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*e^(b*x + a)/b^4 + 1/8*(b^3*x^3 + 3*b^2*x^2 + 6*b*x + 6)*e^(-b*x - a)/b^4 - 1/216*(9*b^3*x^3 + 9*b^2*x^2 + 6*b*x + 2)*e^(-3*b*x - 3*a)/b^4","A",0
282,1,108,0,0.124769," ","integrate(x^2*cosh(b*x+a)*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(9 \, b^{2} x^{2} - 6 \, b x + 2\right)} e^{\left(3 \, b x + 3 \, a\right)}}{216 \, b^{3}} - \frac{{\left(b^{2} x^{2} - 2 \, b x + 2\right)} e^{\left(b x + a\right)}}{8 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, b x + 2\right)} e^{\left(-b x - a\right)}}{8 \, b^{3}} - \frac{{\left(9 \, b^{2} x^{2} + 6 \, b x + 2\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{216 \, b^{3}}"," ",0,"1/216*(9*b^2*x^2 - 6*b*x + 2)*e^(3*b*x + 3*a)/b^3 - 1/8*(b^2*x^2 - 2*b*x + 2)*e^(b*x + a)/b^3 + 1/8*(b^2*x^2 + 2*b*x + 2)*e^(-b*x - a)/b^3 - 1/216*(9*b^2*x^2 + 6*b*x + 2)*e^(-3*b*x - 3*a)/b^3","A",0
283,1,76,0,0.118933," ","integrate(x*cosh(b*x+a)*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(3 \, b x - 1\right)} e^{\left(3 \, b x + 3 \, a\right)}}{72 \, b^{2}} - \frac{{\left(b x - 1\right)} e^{\left(b x + a\right)}}{8 \, b^{2}} + \frac{{\left(b x + 1\right)} e^{\left(-b x - a\right)}}{8 \, b^{2}} - \frac{{\left(3 \, b x + 1\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{72 \, b^{2}}"," ",0,"1/72*(3*b*x - 1)*e^(3*b*x + 3*a)/b^2 - 1/8*(b*x - 1)*e^(b*x + a)/b^2 + 1/8*(b*x + 1)*e^(-b*x - a)/b^2 - 1/72*(3*b*x + 1)*e^(-3*b*x - 3*a)/b^2","A",0
284,1,54,0,0.143675," ","integrate(cosh(b*x+a)*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + 3 \, a\right)}}{24 \, b} - \frac{e^{\left(b x + a\right)}}{8 \, b} + \frac{e^{\left(-b x - a\right)}}{8 \, b} - \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{24 \, b}"," ",0,"1/24*e^(3*b*x + 3*a)/b - 1/8*e^(b*x + a)/b + 1/8*e^(-b*x - a)/b - 1/24*e^(-3*b*x - 3*a)/b","B",0
285,1,42,0,0.141901," ","integrate(cosh(b*x+a)*sinh(b*x+a)^2/x,x, algorithm=""giac"")","\frac{1}{8} \, {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} - \frac{1}{8} \, {\rm Ei}\left(-b x\right) e^{\left(-a\right)} + \frac{1}{8} \, {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} - \frac{1}{8} \, {\rm Ei}\left(b x\right) e^{a}"," ",0,"1/8*Ei(3*b*x)*e^(3*a) - 1/8*Ei(-b*x)*e^(-a) + 1/8*Ei(-3*b*x)*e^(-3*a) - 1/8*Ei(b*x)*e^a","A",0
286,1,91,0,0.141789," ","integrate(cosh(b*x+a)*sinh(b*x+a)^2/x^2,x, algorithm=""giac"")","\frac{3 \, b x {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} + b x {\rm Ei}\left(-b x\right) e^{\left(-a\right)} - 3 \, b x {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} - b x {\rm Ei}\left(b x\right) e^{a} - e^{\left(3 \, b x + 3 \, a\right)} + e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} - e^{\left(-3 \, b x - 3 \, a\right)}}{8 \, x}"," ",0,"1/8*(3*b*x*Ei(3*b*x)*e^(3*a) + b*x*Ei(-b*x)*e^(-a) - 3*b*x*Ei(-3*b*x)*e^(-3*a) - b*x*Ei(b*x)*e^a - e^(3*b*x + 3*a) + e^(b*x + a) + e^(-b*x - a) - e^(-3*b*x - 3*a))/x","A",0
287,1,156,0,0.143424," ","integrate(cosh(b*x+a)*sinh(b*x+a)^2/x^3,x, algorithm=""giac"")","\frac{9 \, b^{2} x^{2} {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} - b^{2} x^{2} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} + 9 \, b^{2} x^{2} {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} - b^{2} x^{2} {\rm Ei}\left(b x\right) e^{a} - 3 \, b x e^{\left(3 \, b x + 3 \, a\right)} + b x e^{\left(b x + a\right)} - b x e^{\left(-b x - a\right)} + 3 \, b x e^{\left(-3 \, b x - 3 \, a\right)} - e^{\left(3 \, b x + 3 \, a\right)} + e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} - e^{\left(-3 \, b x - 3 \, a\right)}}{16 \, x^{2}}"," ",0,"1/16*(9*b^2*x^2*Ei(3*b*x)*e^(3*a) - b^2*x^2*Ei(-b*x)*e^(-a) + 9*b^2*x^2*Ei(-3*b*x)*e^(-3*a) - b^2*x^2*Ei(b*x)*e^a - 3*b*x*e^(3*b*x + 3*a) + b*x*e^(b*x + a) - b*x*e^(-b*x - a) + 3*b*x*e^(-3*b*x - 3*a) - e^(3*b*x + 3*a) + e^(b*x + a) + e^(-b*x - a) - e^(-3*b*x - 3*a))/x^2","A",0
288,1,222,0,0.136231," ","integrate(cosh(b*x+a)*sinh(b*x+a)^2/x^4,x, algorithm=""giac"")","\frac{27 \, b^{3} x^{3} {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} + b^{3} x^{3} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} - 27 \, b^{3} x^{3} {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} - b^{3} x^{3} {\rm Ei}\left(b x\right) e^{a} - 9 \, b^{2} x^{2} e^{\left(3 \, b x + 3 \, a\right)} + b^{2} x^{2} e^{\left(b x + a\right)} + b^{2} x^{2} e^{\left(-b x - a\right)} - 9 \, b^{2} x^{2} e^{\left(-3 \, b x - 3 \, a\right)} - 3 \, b x e^{\left(3 \, b x + 3 \, a\right)} + b x e^{\left(b x + a\right)} - b x e^{\left(-b x - a\right)} + 3 \, b x e^{\left(-3 \, b x - 3 \, a\right)} - 2 \, e^{\left(3 \, b x + 3 \, a\right)} + 2 \, e^{\left(b x + a\right)} + 2 \, e^{\left(-b x - a\right)} - 2 \, e^{\left(-3 \, b x - 3 \, a\right)}}{48 \, x^{3}}"," ",0,"1/48*(27*b^3*x^3*Ei(3*b*x)*e^(3*a) + b^3*x^3*Ei(-b*x)*e^(-a) - 27*b^3*x^3*Ei(-3*b*x)*e^(-3*a) - b^3*x^3*Ei(b*x)*e^a - 9*b^2*x^2*e^(3*b*x + 3*a) + b^2*x^2*e^(b*x + a) + b^2*x^2*e^(-b*x - a) - 9*b^2*x^2*e^(-3*b*x - 3*a) - 3*b*x*e^(3*b*x + 3*a) + b*x*e^(b*x + a) - b*x*e^(-b*x - a) + 3*b*x*e^(-3*b*x - 3*a) - 2*e^(3*b*x + 3*a) + 2*e^(b*x + a) + 2*e^(-b*x - a) - 2*e^(-3*b*x - 3*a))/x^3","A",0
289,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)^2*sinh(b*x + a)^2, x)","F",0
290,1,78,0,0.139391," ","integrate(x^3*cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""giac"")","-\frac{1}{32} \, x^{4} + \frac{{\left(32 \, b^{3} x^{3} - 24 \, b^{2} x^{2} + 12 \, b x - 3\right)} e^{\left(4 \, b x + 4 \, a\right)}}{2048 \, b^{4}} - \frac{{\left(32 \, b^{3} x^{3} + 24 \, b^{2} x^{2} + 12 \, b x + 3\right)} e^{\left(-4 \, b x - 4 \, a\right)}}{2048 \, b^{4}}"," ",0,"-1/32*x^4 + 1/2048*(32*b^3*x^3 - 24*b^2*x^2 + 12*b*x - 3)*e^(4*b*x + 4*a)/b^4 - 1/2048*(32*b^3*x^3 + 24*b^2*x^2 + 12*b*x + 3)*e^(-4*b*x - 4*a)/b^4","A",0
291,1,62,0,0.120852," ","integrate(x^2*cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""giac"")","-\frac{1}{24} \, x^{3} + \frac{{\left(8 \, b^{2} x^{2} - 4 \, b x + 1\right)} e^{\left(4 \, b x + 4 \, a\right)}}{512 \, b^{3}} - \frac{{\left(8 \, b^{2} x^{2} + 4 \, b x + 1\right)} e^{\left(-4 \, b x - 4 \, a\right)}}{512 \, b^{3}}"," ",0,"-1/24*x^3 + 1/512*(8*b^2*x^2 - 4*b*x + 1)*e^(4*b*x + 4*a)/b^3 - 1/512*(8*b^2*x^2 + 4*b*x + 1)*e^(-4*b*x - 4*a)/b^3","A",0
292,1,46,0,0.142926," ","integrate(x*cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""giac"")","-\frac{1}{16} \, x^{2} + \frac{{\left(4 \, b x - 1\right)} e^{\left(4 \, b x + 4 \, a\right)}}{256 \, b^{2}} - \frac{{\left(4 \, b x + 1\right)} e^{\left(-4 \, b x - 4 \, a\right)}}{256 \, b^{2}}"," ",0,"-1/16*x^2 + 1/256*(4*b*x - 1)*e^(4*b*x + 4*a)/b^2 - 1/256*(4*b*x + 1)*e^(-4*b*x - 4*a)/b^2","A",0
293,1,32,0,0.121493," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""giac"")","-\frac{1}{8} \, x + \frac{e^{\left(4 \, b x + 4 \, a\right)}}{64 \, b} - \frac{e^{\left(-4 \, b x - 4 \, a\right)}}{64 \, b}"," ",0,"-1/8*x + 1/64*e^(4*b*x + 4*a)/b - 1/64*e^(-4*b*x - 4*a)/b","A",0
294,1,27,0,0.123398," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^2/x,x, algorithm=""giac"")","\frac{1}{16} \, {\rm Ei}\left(4 \, b x\right) e^{\left(4 \, a\right)} + \frac{1}{16} \, {\rm Ei}\left(-4 \, b x\right) e^{\left(-4 \, a\right)} - \frac{1}{8} \, \log\left(x\right)"," ",0,"1/16*Ei(4*b*x)*e^(4*a) + 1/16*Ei(-4*b*x)*e^(-4*a) - 1/8*log(x)","A",0
295,1,55,0,0.145052," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^2/x^2,x, algorithm=""giac"")","\frac{4 \, b x {\rm Ei}\left(4 \, b x\right) e^{\left(4 \, a\right)} - 4 \, b x {\rm Ei}\left(-4 \, b x\right) e^{\left(-4 \, a\right)} - e^{\left(4 \, b x + 4 \, a\right)} - e^{\left(-4 \, b x - 4 \, a\right)} + 2}{16 \, x}"," ",0,"1/16*(4*b*x*Ei(4*b*x)*e^(4*a) - 4*b*x*Ei(-4*b*x)*e^(-4*a) - e^(4*b*x + 4*a) - e^(-4*b*x - 4*a) + 2)/x","A",0
296,1,89,0,0.140624," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^2/x^3,x, algorithm=""giac"")","\frac{16 \, b^{2} x^{2} {\rm Ei}\left(4 \, b x\right) e^{\left(4 \, a\right)} + 16 \, b^{2} x^{2} {\rm Ei}\left(-4 \, b x\right) e^{\left(-4 \, a\right)} - 4 \, b x e^{\left(4 \, b x + 4 \, a\right)} + 4 \, b x e^{\left(-4 \, b x - 4 \, a\right)} - e^{\left(4 \, b x + 4 \, a\right)} - e^{\left(-4 \, b x - 4 \, a\right)} + 2}{32 \, x^{2}}"," ",0,"1/32*(16*b^2*x^2*Ei(4*b*x)*e^(4*a) + 16*b^2*x^2*Ei(-4*b*x)*e^(-4*a) - 4*b*x*e^(4*b*x + 4*a) + 4*b*x*e^(-4*b*x - 4*a) - e^(4*b*x + 4*a) - e^(-4*b*x - 4*a) + 2)/x^2","A",0
297,1,123,0,0.121199," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^2/x^4,x, algorithm=""giac"")","\frac{32 \, b^{3} x^{3} {\rm Ei}\left(4 \, b x\right) e^{\left(4 \, a\right)} - 32 \, b^{3} x^{3} {\rm Ei}\left(-4 \, b x\right) e^{\left(-4 \, a\right)} - 8 \, b^{2} x^{2} e^{\left(4 \, b x + 4 \, a\right)} - 8 \, b^{2} x^{2} e^{\left(-4 \, b x - 4 \, a\right)} - 2 \, b x e^{\left(4 \, b x + 4 \, a\right)} + 2 \, b x e^{\left(-4 \, b x - 4 \, a\right)} - e^{\left(4 \, b x + 4 \, a\right)} - e^{\left(-4 \, b x - 4 \, a\right)} + 2}{48 \, x^{3}}"," ",0,"1/48*(32*b^3*x^3*Ei(4*b*x)*e^(4*a) - 32*b^3*x^3*Ei(-4*b*x)*e^(-4*a) - 8*b^2*x^2*e^(4*b*x + 4*a) - 8*b^2*x^2*e^(-4*b*x - 4*a) - 2*b*x*e^(4*b*x + 4*a) + 2*b*x*e^(-4*b*x - 4*a) - e^(4*b*x + 4*a) - e^(-4*b*x - 4*a) + 2)/x^3","A",0
298,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)^3*sinh(b*x + a)^2, x)","F",0
299,1,212,0,0.131410," ","integrate(x^3*cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(125 \, b^{3} x^{3} - 75 \, b^{2} x^{2} + 30 \, b x - 6\right)} e^{\left(5 \, b x + 5 \, a\right)}}{20000 \, b^{4}} + \frac{{\left(9 \, b^{3} x^{3} - 9 \, b^{2} x^{2} + 6 \, b x - 2\right)} e^{\left(3 \, b x + 3 \, a\right)}}{864 \, b^{4}} - \frac{{\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} e^{\left(b x + a\right)}}{16 \, b^{4}} + \frac{{\left(b^{3} x^{3} + 3 \, b^{2} x^{2} + 6 \, b x + 6\right)} e^{\left(-b x - a\right)}}{16 \, b^{4}} - \frac{{\left(9 \, b^{3} x^{3} + 9 \, b^{2} x^{2} + 6 \, b x + 2\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{864 \, b^{4}} - \frac{{\left(125 \, b^{3} x^{3} + 75 \, b^{2} x^{2} + 30 \, b x + 6\right)} e^{\left(-5 \, b x - 5 \, a\right)}}{20000 \, b^{4}}"," ",0,"1/20000*(125*b^3*x^3 - 75*b^2*x^2 + 30*b*x - 6)*e^(5*b*x + 5*a)/b^4 + 1/864*(9*b^3*x^3 - 9*b^2*x^2 + 6*b*x - 2)*e^(3*b*x + 3*a)/b^4 - 1/16*(b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*e^(b*x + a)/b^4 + 1/16*(b^3*x^3 + 3*b^2*x^2 + 6*b*x + 6)*e^(-b*x - a)/b^4 - 1/864*(9*b^3*x^3 + 9*b^2*x^2 + 6*b*x + 2)*e^(-3*b*x - 3*a)/b^4 - 1/20000*(125*b^3*x^3 + 75*b^2*x^2 + 30*b*x + 6)*e^(-5*b*x - 5*a)/b^4","A",0
300,1,164,0,0.126283," ","integrate(x^2*cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(25 \, b^{2} x^{2} - 10 \, b x + 2\right)} e^{\left(5 \, b x + 5 \, a\right)}}{4000 \, b^{3}} + \frac{{\left(9 \, b^{2} x^{2} - 6 \, b x + 2\right)} e^{\left(3 \, b x + 3 \, a\right)}}{864 \, b^{3}} - \frac{{\left(b^{2} x^{2} - 2 \, b x + 2\right)} e^{\left(b x + a\right)}}{16 \, b^{3}} + \frac{{\left(b^{2} x^{2} + 2 \, b x + 2\right)} e^{\left(-b x - a\right)}}{16 \, b^{3}} - \frac{{\left(9 \, b^{2} x^{2} + 6 \, b x + 2\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{864 \, b^{3}} - \frac{{\left(25 \, b^{2} x^{2} + 10 \, b x + 2\right)} e^{\left(-5 \, b x - 5 \, a\right)}}{4000 \, b^{3}}"," ",0,"1/4000*(25*b^2*x^2 - 10*b*x + 2)*e^(5*b*x + 5*a)/b^3 + 1/864*(9*b^2*x^2 - 6*b*x + 2)*e^(3*b*x + 3*a)/b^3 - 1/16*(b^2*x^2 - 2*b*x + 2)*e^(b*x + a)/b^3 + 1/16*(b^2*x^2 + 2*b*x + 2)*e^(-b*x - a)/b^3 - 1/864*(9*b^2*x^2 + 6*b*x + 2)*e^(-3*b*x - 3*a)/b^3 - 1/4000*(25*b^2*x^2 + 10*b*x + 2)*e^(-5*b*x - 5*a)/b^3","A",0
301,1,116,0,0.147696," ","integrate(x*cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(5 \, b x - 1\right)} e^{\left(5 \, b x + 5 \, a\right)}}{800 \, b^{2}} + \frac{{\left(3 \, b x - 1\right)} e^{\left(3 \, b x + 3 \, a\right)}}{288 \, b^{2}} - \frac{{\left(b x - 1\right)} e^{\left(b x + a\right)}}{16 \, b^{2}} + \frac{{\left(b x + 1\right)} e^{\left(-b x - a\right)}}{16 \, b^{2}} - \frac{{\left(3 \, b x + 1\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{288 \, b^{2}} - \frac{{\left(5 \, b x + 1\right)} e^{\left(-5 \, b x - 5 \, a\right)}}{800 \, b^{2}}"," ",0,"1/800*(5*b*x - 1)*e^(5*b*x + 5*a)/b^2 + 1/288*(3*b*x - 1)*e^(3*b*x + 3*a)/b^2 - 1/16*(b*x - 1)*e^(b*x + a)/b^2 + 1/16*(b*x + 1)*e^(-b*x - a)/b^2 - 1/288*(3*b*x + 1)*e^(-3*b*x - 3*a)/b^2 - 1/800*(5*b*x + 1)*e^(-5*b*x - 5*a)/b^2","A",0
302,1,82,0,0.125047," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{e^{\left(5 \, b x + 5 \, a\right)}}{160 \, b} + \frac{e^{\left(3 \, b x + 3 \, a\right)}}{96 \, b} - \frac{e^{\left(b x + a\right)}}{16 \, b} + \frac{e^{\left(-b x - a\right)}}{16 \, b} - \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{96 \, b} - \frac{e^{\left(-5 \, b x - 5 \, a\right)}}{160 \, b}"," ",0,"1/160*e^(5*b*x + 5*a)/b + 1/96*e^(3*b*x + 3*a)/b - 1/16*e^(b*x + a)/b + 1/16*e^(-b*x - a)/b - 1/96*e^(-3*b*x - 3*a)/b - 1/160*e^(-5*b*x - 5*a)/b","B",0
303,1,64,0,0.125514," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^2/x,x, algorithm=""giac"")","\frac{1}{32} \, {\rm Ei}\left(5 \, b x\right) e^{\left(5 \, a\right)} + \frac{1}{32} \, {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} - \frac{1}{16} \, {\rm Ei}\left(-b x\right) e^{\left(-a\right)} + \frac{1}{32} \, {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} + \frac{1}{32} \, {\rm Ei}\left(-5 \, b x\right) e^{\left(-5 \, a\right)} - \frac{1}{16} \, {\rm Ei}\left(b x\right) e^{a}"," ",0,"1/32*Ei(5*b*x)*e^(5*a) + 1/32*Ei(3*b*x)*e^(3*a) - 1/16*Ei(-b*x)*e^(-a) + 1/32*Ei(-3*b*x)*e^(-3*a) + 1/32*Ei(-5*b*x)*e^(-5*a) - 1/16*Ei(b*x)*e^a","A",0
304,1,144,0,0.128378," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^2/x^2,x, algorithm=""giac"")","\frac{5 \, b x {\rm Ei}\left(5 \, b x\right) e^{\left(5 \, a\right)} + 3 \, b x {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} + 2 \, b x {\rm Ei}\left(-b x\right) e^{\left(-a\right)} - 3 \, b x {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} - 5 \, b x {\rm Ei}\left(-5 \, b x\right) e^{\left(-5 \, a\right)} - 2 \, b x {\rm Ei}\left(b x\right) e^{a} - e^{\left(5 \, b x + 5 \, a\right)} - e^{\left(3 \, b x + 3 \, a\right)} + 2 \, e^{\left(b x + a\right)} + 2 \, e^{\left(-b x - a\right)} - e^{\left(-3 \, b x - 3 \, a\right)} - e^{\left(-5 \, b x - 5 \, a\right)}}{32 \, x}"," ",0,"1/32*(5*b*x*Ei(5*b*x)*e^(5*a) + 3*b*x*Ei(3*b*x)*e^(3*a) + 2*b*x*Ei(-b*x)*e^(-a) - 3*b*x*Ei(-3*b*x)*e^(-3*a) - 5*b*x*Ei(-5*b*x)*e^(-5*a) - 2*b*x*Ei(b*x)*e^a - e^(5*b*x + 5*a) - e^(3*b*x + 3*a) + 2*e^(b*x + a) + 2*e^(-b*x - a) - e^(-3*b*x - 3*a) - e^(-5*b*x - 5*a))/x","A",0
305,1,243,0,0.130157," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^2/x^3,x, algorithm=""giac"")","\frac{25 \, b^{2} x^{2} {\rm Ei}\left(5 \, b x\right) e^{\left(5 \, a\right)} + 9 \, b^{2} x^{2} {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} - 2 \, b^{2} x^{2} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} + 9 \, b^{2} x^{2} {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} + 25 \, b^{2} x^{2} {\rm Ei}\left(-5 \, b x\right) e^{\left(-5 \, a\right)} - 2 \, b^{2} x^{2} {\rm Ei}\left(b x\right) e^{a} - 5 \, b x e^{\left(5 \, b x + 5 \, a\right)} - 3 \, b x e^{\left(3 \, b x + 3 \, a\right)} + 2 \, b x e^{\left(b x + a\right)} - 2 \, b x e^{\left(-b x - a\right)} + 3 \, b x e^{\left(-3 \, b x - 3 \, a\right)} + 5 \, b x e^{\left(-5 \, b x - 5 \, a\right)} - e^{\left(5 \, b x + 5 \, a\right)} - e^{\left(3 \, b x + 3 \, a\right)} + 2 \, e^{\left(b x + a\right)} + 2 \, e^{\left(-b x - a\right)} - e^{\left(-3 \, b x - 3 \, a\right)} - e^{\left(-5 \, b x - 5 \, a\right)}}{64 \, x^{2}}"," ",0,"1/64*(25*b^2*x^2*Ei(5*b*x)*e^(5*a) + 9*b^2*x^2*Ei(3*b*x)*e^(3*a) - 2*b^2*x^2*Ei(-b*x)*e^(-a) + 9*b^2*x^2*Ei(-3*b*x)*e^(-3*a) + 25*b^2*x^2*Ei(-5*b*x)*e^(-5*a) - 2*b^2*x^2*Ei(b*x)*e^a - 5*b*x*e^(5*b*x + 5*a) - 3*b*x*e^(3*b*x + 3*a) + 2*b*x*e^(b*x + a) - 2*b*x*e^(-b*x - a) + 3*b*x*e^(-3*b*x - 3*a) + 5*b*x*e^(-5*b*x - 5*a) - e^(5*b*x + 5*a) - e^(3*b*x + 3*a) + 2*e^(b*x + a) + 2*e^(-b*x - a) - e^(-3*b*x - 3*a) - e^(-5*b*x - 5*a))/x^2","A",0
306,1,342,0,0.131417," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^2/x^4,x, algorithm=""giac"")","\frac{125 \, b^{3} x^{3} {\rm Ei}\left(5 \, b x\right) e^{\left(5 \, a\right)} + 27 \, b^{3} x^{3} {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} + 2 \, b^{3} x^{3} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} - 27 \, b^{3} x^{3} {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} - 125 \, b^{3} x^{3} {\rm Ei}\left(-5 \, b x\right) e^{\left(-5 \, a\right)} - 2 \, b^{3} x^{3} {\rm Ei}\left(b x\right) e^{a} - 25 \, b^{2} x^{2} e^{\left(5 \, b x + 5 \, a\right)} - 9 \, b^{2} x^{2} e^{\left(3 \, b x + 3 \, a\right)} + 2 \, b^{2} x^{2} e^{\left(b x + a\right)} + 2 \, b^{2} x^{2} e^{\left(-b x - a\right)} - 9 \, b^{2} x^{2} e^{\left(-3 \, b x - 3 \, a\right)} - 25 \, b^{2} x^{2} e^{\left(-5 \, b x - 5 \, a\right)} - 5 \, b x e^{\left(5 \, b x + 5 \, a\right)} - 3 \, b x e^{\left(3 \, b x + 3 \, a\right)} + 2 \, b x e^{\left(b x + a\right)} - 2 \, b x e^{\left(-b x - a\right)} + 3 \, b x e^{\left(-3 \, b x - 3 \, a\right)} + 5 \, b x e^{\left(-5 \, b x - 5 \, a\right)} - 2 \, e^{\left(5 \, b x + 5 \, a\right)} - 2 \, e^{\left(3 \, b x + 3 \, a\right)} + 4 \, e^{\left(b x + a\right)} + 4 \, e^{\left(-b x - a\right)} - 2 \, e^{\left(-3 \, b x - 3 \, a\right)} - 2 \, e^{\left(-5 \, b x - 5 \, a\right)}}{192 \, x^{3}}"," ",0,"1/192*(125*b^3*x^3*Ei(5*b*x)*e^(5*a) + 27*b^3*x^3*Ei(3*b*x)*e^(3*a) + 2*b^3*x^3*Ei(-b*x)*e^(-a) - 27*b^3*x^3*Ei(-3*b*x)*e^(-3*a) - 125*b^3*x^3*Ei(-5*b*x)*e^(-5*a) - 2*b^3*x^3*Ei(b*x)*e^a - 25*b^2*x^2*e^(5*b*x + 5*a) - 9*b^2*x^2*e^(3*b*x + 3*a) + 2*b^2*x^2*e^(b*x + a) + 2*b^2*x^2*e^(-b*x - a) - 9*b^2*x^2*e^(-3*b*x - 3*a) - 25*b^2*x^2*e^(-5*b*x - 5*a) - 5*b*x*e^(5*b*x + 5*a) - 3*b*x*e^(3*b*x + 3*a) + 2*b*x*e^(b*x + a) - 2*b*x*e^(-b*x - a) + 3*b*x*e^(-3*b*x - 3*a) + 5*b*x*e^(-5*b*x - 5*a) - 2*e^(5*b*x + 5*a) - 2*e^(3*b*x + 3*a) + 4*e^(b*x + a) + 4*e^(-b*x - a) - 2*e^(-3*b*x - 3*a) - 2*e^(-5*b*x - 5*a))/x^3","A",0
307,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)*sinh(b*x + a)^3, x)","F",0
308,1,145,0,0.119213," ","integrate(x^3*cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(32 \, b^{3} x^{3} - 24 \, b^{2} x^{2} + 12 \, b x - 3\right)} e^{\left(4 \, b x + 4 \, a\right)}}{2048 \, b^{4}} - \frac{{\left(4 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, b x - 3\right)} e^{\left(2 \, b x + 2 \, a\right)}}{64 \, b^{4}} - \frac{{\left(4 \, b^{3} x^{3} + 6 \, b^{2} x^{2} + 6 \, b x + 3\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{64 \, b^{4}} + \frac{{\left(32 \, b^{3} x^{3} + 24 \, b^{2} x^{2} + 12 \, b x + 3\right)} e^{\left(-4 \, b x - 4 \, a\right)}}{2048 \, b^{4}}"," ",0,"1/2048*(32*b^3*x^3 - 24*b^2*x^2 + 12*b*x - 3)*e^(4*b*x + 4*a)/b^4 - 1/64*(4*b^3*x^3 - 6*b^2*x^2 + 6*b*x - 3)*e^(2*b*x + 2*a)/b^4 - 1/64*(4*b^3*x^3 + 6*b^2*x^2 + 6*b*x + 3)*e^(-2*b*x - 2*a)/b^4 + 1/2048*(32*b^3*x^3 + 24*b^2*x^2 + 12*b*x + 3)*e^(-4*b*x - 4*a)/b^4","A",0
309,1,113,0,0.124295," ","integrate(x^2*cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(8 \, b^{2} x^{2} - 4 \, b x + 1\right)} e^{\left(4 \, b x + 4 \, a\right)}}{512 \, b^{3}} - \frac{{\left(2 \, b^{2} x^{2} - 2 \, b x + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{32 \, b^{3}} - \frac{{\left(2 \, b^{2} x^{2} + 2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{32 \, b^{3}} + \frac{{\left(8 \, b^{2} x^{2} + 4 \, b x + 1\right)} e^{\left(-4 \, b x - 4 \, a\right)}}{512 \, b^{3}}"," ",0,"1/512*(8*b^2*x^2 - 4*b*x + 1)*e^(4*b*x + 4*a)/b^3 - 1/32*(2*b^2*x^2 - 2*b*x + 1)*e^(2*b*x + 2*a)/b^3 - 1/32*(2*b^2*x^2 + 2*b*x + 1)*e^(-2*b*x - 2*a)/b^3 + 1/512*(8*b^2*x^2 + 4*b*x + 1)*e^(-4*b*x - 4*a)/b^3","A",0
310,1,81,0,0.124117," ","integrate(x*cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(4 \, b x - 1\right)} e^{\left(4 \, b x + 4 \, a\right)}}{256 \, b^{2}} - \frac{{\left(2 \, b x - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{32 \, b^{2}} - \frac{{\left(2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{32 \, b^{2}} + \frac{{\left(4 \, b x + 1\right)} e^{\left(-4 \, b x - 4 \, a\right)}}{256 \, b^{2}}"," ",0,"1/256*(4*b*x - 1)*e^(4*b*x + 4*a)/b^2 - 1/32*(2*b*x - 1)*e^(2*b*x + 2*a)/b^2 - 1/32*(2*b*x + 1)*e^(-2*b*x - 2*a)/b^2 + 1/256*(4*b*x + 1)*e^(-4*b*x - 4*a)/b^2","A",0
311,1,57,0,0.153428," ","integrate(cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{e^{\left(4 \, b x + 4 \, a\right)}}{64 \, b} - \frac{e^{\left(2 \, b x + 2 \, a\right)}}{16 \, b} - \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{16 \, b} + \frac{e^{\left(-4 \, b x - 4 \, a\right)}}{64 \, b}"," ",0,"1/64*e^(4*b*x + 4*a)/b - 1/16*e^(2*b*x + 2*a)/b - 1/16*e^(-2*b*x - 2*a)/b + 1/64*e^(-4*b*x - 4*a)/b","B",0
312,1,45,0,0.122496," ","integrate(cosh(b*x+a)*sinh(b*x+a)^3/x,x, algorithm=""giac"")","\frac{1}{16} \, {\rm Ei}\left(4 \, b x\right) e^{\left(4 \, a\right)} - \frac{1}{8} \, {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} + \frac{1}{8} \, {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)} - \frac{1}{16} \, {\rm Ei}\left(-4 \, b x\right) e^{\left(-4 \, a\right)}"," ",0,"1/16*Ei(4*b*x)*e^(4*a) - 1/8*Ei(2*b*x)*e^(2*a) + 1/8*Ei(-2*b*x)*e^(-2*a) - 1/16*Ei(-4*b*x)*e^(-4*a)","A",0
313,1,100,0,0.146218," ","integrate(cosh(b*x+a)*sinh(b*x+a)^3/x^2,x, algorithm=""giac"")","\frac{4 \, b x {\rm Ei}\left(4 \, b x\right) e^{\left(4 \, a\right)} - 4 \, b x {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} - 4 \, b x {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)} + 4 \, b x {\rm Ei}\left(-4 \, b x\right) e^{\left(-4 \, a\right)} - e^{\left(4 \, b x + 4 \, a\right)} + 2 \, e^{\left(2 \, b x + 2 \, a\right)} - 2 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-4 \, b x - 4 \, a\right)}}{16 \, x}"," ",0,"1/16*(4*b*x*Ei(4*b*x)*e^(4*a) - 4*b*x*Ei(2*b*x)*e^(2*a) - 4*b*x*Ei(-2*b*x)*e^(-2*a) + 4*b*x*Ei(-4*b*x)*e^(-4*a) - e^(4*b*x + 4*a) + 2*e^(2*b*x + 2*a) - 2*e^(-2*b*x - 2*a) + e^(-4*b*x - 4*a))/x","A",0
314,1,168,0,0.121805," ","integrate(cosh(b*x+a)*sinh(b*x+a)^3/x^3,x, algorithm=""giac"")","\frac{16 \, b^{2} x^{2} {\rm Ei}\left(4 \, b x\right) e^{\left(4 \, a\right)} - 8 \, b^{2} x^{2} {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} + 8 \, b^{2} x^{2} {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)} - 16 \, b^{2} x^{2} {\rm Ei}\left(-4 \, b x\right) e^{\left(-4 \, a\right)} - 4 \, b x e^{\left(4 \, b x + 4 \, a\right)} + 4 \, b x e^{\left(2 \, b x + 2 \, a\right)} + 4 \, b x e^{\left(-2 \, b x - 2 \, a\right)} - 4 \, b x e^{\left(-4 \, b x - 4 \, a\right)} - e^{\left(4 \, b x + 4 \, a\right)} + 2 \, e^{\left(2 \, b x + 2 \, a\right)} - 2 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-4 \, b x - 4 \, a\right)}}{32 \, x^{2}}"," ",0,"1/32*(16*b^2*x^2*Ei(4*b*x)*e^(4*a) - 8*b^2*x^2*Ei(2*b*x)*e^(2*a) + 8*b^2*x^2*Ei(-2*b*x)*e^(-2*a) - 16*b^2*x^2*Ei(-4*b*x)*e^(-4*a) - 4*b*x*e^(4*b*x + 4*a) + 4*b*x*e^(2*b*x + 2*a) + 4*b*x*e^(-2*b*x - 2*a) - 4*b*x*e^(-4*b*x - 4*a) - e^(4*b*x + 4*a) + 2*e^(2*b*x + 2*a) - 2*e^(-2*b*x - 2*a) + e^(-4*b*x - 4*a))/x^2","A",0
315,1,236,0,0.122609," ","integrate(cosh(b*x+a)*sinh(b*x+a)^3/x^4,x, algorithm=""giac"")","\frac{32 \, b^{3} x^{3} {\rm Ei}\left(4 \, b x\right) e^{\left(4 \, a\right)} - 8 \, b^{3} x^{3} {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} - 8 \, b^{3} x^{3} {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)} + 32 \, b^{3} x^{3} {\rm Ei}\left(-4 \, b x\right) e^{\left(-4 \, a\right)} - 8 \, b^{2} x^{2} e^{\left(4 \, b x + 4 \, a\right)} + 4 \, b^{2} x^{2} e^{\left(2 \, b x + 2 \, a\right)} - 4 \, b^{2} x^{2} e^{\left(-2 \, b x - 2 \, a\right)} + 8 \, b^{2} x^{2} e^{\left(-4 \, b x - 4 \, a\right)} - 2 \, b x e^{\left(4 \, b x + 4 \, a\right)} + 2 \, b x e^{\left(2 \, b x + 2 \, a\right)} + 2 \, b x e^{\left(-2 \, b x - 2 \, a\right)} - 2 \, b x e^{\left(-4 \, b x - 4 \, a\right)} - e^{\left(4 \, b x + 4 \, a\right)} + 2 \, e^{\left(2 \, b x + 2 \, a\right)} - 2 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-4 \, b x - 4 \, a\right)}}{48 \, x^{3}}"," ",0,"1/48*(32*b^3*x^3*Ei(4*b*x)*e^(4*a) - 8*b^3*x^3*Ei(2*b*x)*e^(2*a) - 8*b^3*x^3*Ei(-2*b*x)*e^(-2*a) + 32*b^3*x^3*Ei(-4*b*x)*e^(-4*a) - 8*b^2*x^2*e^(4*b*x + 4*a) + 4*b^2*x^2*e^(2*b*x + 2*a) - 4*b^2*x^2*e^(-2*b*x - 2*a) + 8*b^2*x^2*e^(-4*b*x - 4*a) - 2*b*x*e^(4*b*x + 4*a) + 2*b*x*e^(2*b*x + 2*a) + 2*b*x*e^(-2*b*x - 2*a) - 2*b*x*e^(-4*b*x - 4*a) - e^(4*b*x + 4*a) + 2*e^(2*b*x + 2*a) - 2*e^(-2*b*x - 2*a) + e^(-4*b*x - 4*a))/x^3","A",0
316,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)^2*sinh(b*x + a)^3, x)","F",0
317,1,212,0,0.142047," ","integrate(x^3*cosh(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(125 \, b^{3} x^{3} - 75 \, b^{2} x^{2} + 30 \, b x - 6\right)} e^{\left(5 \, b x + 5 \, a\right)}}{20000 \, b^{4}} - \frac{{\left(9 \, b^{3} x^{3} - 9 \, b^{2} x^{2} + 6 \, b x - 2\right)} e^{\left(3 \, b x + 3 \, a\right)}}{864 \, b^{4}} - \frac{{\left(b^{3} x^{3} - 3 \, b^{2} x^{2} + 6 \, b x - 6\right)} e^{\left(b x + a\right)}}{16 \, b^{4}} - \frac{{\left(b^{3} x^{3} + 3 \, b^{2} x^{2} + 6 \, b x + 6\right)} e^{\left(-b x - a\right)}}{16 \, b^{4}} - \frac{{\left(9 \, b^{3} x^{3} + 9 \, b^{2} x^{2} + 6 \, b x + 2\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{864 \, b^{4}} + \frac{{\left(125 \, b^{3} x^{3} + 75 \, b^{2} x^{2} + 30 \, b x + 6\right)} e^{\left(-5 \, b x - 5 \, a\right)}}{20000 \, b^{4}}"," ",0,"1/20000*(125*b^3*x^3 - 75*b^2*x^2 + 30*b*x - 6)*e^(5*b*x + 5*a)/b^4 - 1/864*(9*b^3*x^3 - 9*b^2*x^2 + 6*b*x - 2)*e^(3*b*x + 3*a)/b^4 - 1/16*(b^3*x^3 - 3*b^2*x^2 + 6*b*x - 6)*e^(b*x + a)/b^4 - 1/16*(b^3*x^3 + 3*b^2*x^2 + 6*b*x + 6)*e^(-b*x - a)/b^4 - 1/864*(9*b^3*x^3 + 9*b^2*x^2 + 6*b*x + 2)*e^(-3*b*x - 3*a)/b^4 + 1/20000*(125*b^3*x^3 + 75*b^2*x^2 + 30*b*x + 6)*e^(-5*b*x - 5*a)/b^4","A",0
318,1,164,0,0.142839," ","integrate(x^2*cosh(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(25 \, b^{2} x^{2} - 10 \, b x + 2\right)} e^{\left(5 \, b x + 5 \, a\right)}}{4000 \, b^{3}} - \frac{{\left(9 \, b^{2} x^{2} - 6 \, b x + 2\right)} e^{\left(3 \, b x + 3 \, a\right)}}{864 \, b^{3}} - \frac{{\left(b^{2} x^{2} - 2 \, b x + 2\right)} e^{\left(b x + a\right)}}{16 \, b^{3}} - \frac{{\left(b^{2} x^{2} + 2 \, b x + 2\right)} e^{\left(-b x - a\right)}}{16 \, b^{3}} - \frac{{\left(9 \, b^{2} x^{2} + 6 \, b x + 2\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{864 \, b^{3}} + \frac{{\left(25 \, b^{2} x^{2} + 10 \, b x + 2\right)} e^{\left(-5 \, b x - 5 \, a\right)}}{4000 \, b^{3}}"," ",0,"1/4000*(25*b^2*x^2 - 10*b*x + 2)*e^(5*b*x + 5*a)/b^3 - 1/864*(9*b^2*x^2 - 6*b*x + 2)*e^(3*b*x + 3*a)/b^3 - 1/16*(b^2*x^2 - 2*b*x + 2)*e^(b*x + a)/b^3 - 1/16*(b^2*x^2 + 2*b*x + 2)*e^(-b*x - a)/b^3 - 1/864*(9*b^2*x^2 + 6*b*x + 2)*e^(-3*b*x - 3*a)/b^3 + 1/4000*(25*b^2*x^2 + 10*b*x + 2)*e^(-5*b*x - 5*a)/b^3","A",0
319,1,116,0,0.146784," ","integrate(x*cosh(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(5 \, b x - 1\right)} e^{\left(5 \, b x + 5 \, a\right)}}{800 \, b^{2}} - \frac{{\left(3 \, b x - 1\right)} e^{\left(3 \, b x + 3 \, a\right)}}{288 \, b^{2}} - \frac{{\left(b x - 1\right)} e^{\left(b x + a\right)}}{16 \, b^{2}} - \frac{{\left(b x + 1\right)} e^{\left(-b x - a\right)}}{16 \, b^{2}} - \frac{{\left(3 \, b x + 1\right)} e^{\left(-3 \, b x - 3 \, a\right)}}{288 \, b^{2}} + \frac{{\left(5 \, b x + 1\right)} e^{\left(-5 \, b x - 5 \, a\right)}}{800 \, b^{2}}"," ",0,"1/800*(5*b*x - 1)*e^(5*b*x + 5*a)/b^2 - 1/288*(3*b*x - 1)*e^(3*b*x + 3*a)/b^2 - 1/16*(b*x - 1)*e^(b*x + a)/b^2 - 1/16*(b*x + 1)*e^(-b*x - a)/b^2 - 1/288*(3*b*x + 1)*e^(-3*b*x - 3*a)/b^2 + 1/800*(5*b*x + 1)*e^(-5*b*x - 5*a)/b^2","A",0
320,1,82,0,0.151460," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{e^{\left(5 \, b x + 5 \, a\right)}}{160 \, b} - \frac{e^{\left(3 \, b x + 3 \, a\right)}}{96 \, b} - \frac{e^{\left(b x + a\right)}}{16 \, b} - \frac{e^{\left(-b x - a\right)}}{16 \, b} - \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{96 \, b} + \frac{e^{\left(-5 \, b x - 5 \, a\right)}}{160 \, b}"," ",0,"1/160*e^(5*b*x + 5*a)/b - 1/96*e^(3*b*x + 3*a)/b - 1/16*e^(b*x + a)/b - 1/16*e^(-b*x - a)/b - 1/96*e^(-3*b*x - 3*a)/b + 1/160*e^(-5*b*x - 5*a)/b","B",0
321,1,64,0,0.127063," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^3/x,x, algorithm=""giac"")","\frac{1}{32} \, {\rm Ei}\left(5 \, b x\right) e^{\left(5 \, a\right)} - \frac{1}{32} \, {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} + \frac{1}{16} \, {\rm Ei}\left(-b x\right) e^{\left(-a\right)} + \frac{1}{32} \, {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} - \frac{1}{32} \, {\rm Ei}\left(-5 \, b x\right) e^{\left(-5 \, a\right)} - \frac{1}{16} \, {\rm Ei}\left(b x\right) e^{a}"," ",0,"1/32*Ei(5*b*x)*e^(5*a) - 1/32*Ei(3*b*x)*e^(3*a) + 1/16*Ei(-b*x)*e^(-a) + 1/32*Ei(-3*b*x)*e^(-3*a) - 1/32*Ei(-5*b*x)*e^(-5*a) - 1/16*Ei(b*x)*e^a","A",0
322,1,140,0,0.146673," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^3/x^2,x, algorithm=""giac"")","\frac{5 \, b x {\rm Ei}\left(5 \, b x\right) e^{\left(5 \, a\right)} - 3 \, b x {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} - 2 \, b x {\rm Ei}\left(-b x\right) e^{\left(-a\right)} - 3 \, b x {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} + 5 \, b x {\rm Ei}\left(-5 \, b x\right) e^{\left(-5 \, a\right)} - 2 \, b x {\rm Ei}\left(b x\right) e^{a} - e^{\left(5 \, b x + 5 \, a\right)} + e^{\left(3 \, b x + 3 \, a\right)} + 2 \, e^{\left(b x + a\right)} - 2 \, e^{\left(-b x - a\right)} - e^{\left(-3 \, b x - 3 \, a\right)} + e^{\left(-5 \, b x - 5 \, a\right)}}{32 \, x}"," ",0,"1/32*(5*b*x*Ei(5*b*x)*e^(5*a) - 3*b*x*Ei(3*b*x)*e^(3*a) - 2*b*x*Ei(-b*x)*e^(-a) - 3*b*x*Ei(-3*b*x)*e^(-3*a) + 5*b*x*Ei(-5*b*x)*e^(-5*a) - 2*b*x*Ei(b*x)*e^a - e^(5*b*x + 5*a) + e^(3*b*x + 3*a) + 2*e^(b*x + a) - 2*e^(-b*x - a) - e^(-3*b*x - 3*a) + e^(-5*b*x - 5*a))/x","A",0
323,1,239,0,0.150241," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^3/x^3,x, algorithm=""giac"")","\frac{25 \, b^{2} x^{2} {\rm Ei}\left(5 \, b x\right) e^{\left(5 \, a\right)} - 9 \, b^{2} x^{2} {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} + 2 \, b^{2} x^{2} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} + 9 \, b^{2} x^{2} {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} - 25 \, b^{2} x^{2} {\rm Ei}\left(-5 \, b x\right) e^{\left(-5 \, a\right)} - 2 \, b^{2} x^{2} {\rm Ei}\left(b x\right) e^{a} - 5 \, b x e^{\left(5 \, b x + 5 \, a\right)} + 3 \, b x e^{\left(3 \, b x + 3 \, a\right)} + 2 \, b x e^{\left(b x + a\right)} + 2 \, b x e^{\left(-b x - a\right)} + 3 \, b x e^{\left(-3 \, b x - 3 \, a\right)} - 5 \, b x e^{\left(-5 \, b x - 5 \, a\right)} - e^{\left(5 \, b x + 5 \, a\right)} + e^{\left(3 \, b x + 3 \, a\right)} + 2 \, e^{\left(b x + a\right)} - 2 \, e^{\left(-b x - a\right)} - e^{\left(-3 \, b x - 3 \, a\right)} + e^{\left(-5 \, b x - 5 \, a\right)}}{64 \, x^{2}}"," ",0,"1/64*(25*b^2*x^2*Ei(5*b*x)*e^(5*a) - 9*b^2*x^2*Ei(3*b*x)*e^(3*a) + 2*b^2*x^2*Ei(-b*x)*e^(-a) + 9*b^2*x^2*Ei(-3*b*x)*e^(-3*a) - 25*b^2*x^2*Ei(-5*b*x)*e^(-5*a) - 2*b^2*x^2*Ei(b*x)*e^a - 5*b*x*e^(5*b*x + 5*a) + 3*b*x*e^(3*b*x + 3*a) + 2*b*x*e^(b*x + a) + 2*b*x*e^(-b*x - a) + 3*b*x*e^(-3*b*x - 3*a) - 5*b*x*e^(-5*b*x - 5*a) - e^(5*b*x + 5*a) + e^(3*b*x + 3*a) + 2*e^(b*x + a) - 2*e^(-b*x - a) - e^(-3*b*x - 3*a) + e^(-5*b*x - 5*a))/x^2","A",0
324,1,342,0,0.155870," ","integrate(cosh(b*x+a)^2*sinh(b*x+a)^3/x^4,x, algorithm=""giac"")","\frac{125 \, b^{3} x^{3} {\rm Ei}\left(5 \, b x\right) e^{\left(5 \, a\right)} - 27 \, b^{3} x^{3} {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} - 2 \, b^{3} x^{3} {\rm Ei}\left(-b x\right) e^{\left(-a\right)} - 27 \, b^{3} x^{3} {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} + 125 \, b^{3} x^{3} {\rm Ei}\left(-5 \, b x\right) e^{\left(-5 \, a\right)} - 2 \, b^{3} x^{3} {\rm Ei}\left(b x\right) e^{a} - 25 \, b^{2} x^{2} e^{\left(5 \, b x + 5 \, a\right)} + 9 \, b^{2} x^{2} e^{\left(3 \, b x + 3 \, a\right)} + 2 \, b^{2} x^{2} e^{\left(b x + a\right)} - 2 \, b^{2} x^{2} e^{\left(-b x - a\right)} - 9 \, b^{2} x^{2} e^{\left(-3 \, b x - 3 \, a\right)} + 25 \, b^{2} x^{2} e^{\left(-5 \, b x - 5 \, a\right)} - 5 \, b x e^{\left(5 \, b x + 5 \, a\right)} + 3 \, b x e^{\left(3 \, b x + 3 \, a\right)} + 2 \, b x e^{\left(b x + a\right)} + 2 \, b x e^{\left(-b x - a\right)} + 3 \, b x e^{\left(-3 \, b x - 3 \, a\right)} - 5 \, b x e^{\left(-5 \, b x - 5 \, a\right)} - 2 \, e^{\left(5 \, b x + 5 \, a\right)} + 2 \, e^{\left(3 \, b x + 3 \, a\right)} + 4 \, e^{\left(b x + a\right)} - 4 \, e^{\left(-b x - a\right)} - 2 \, e^{\left(-3 \, b x - 3 \, a\right)} + 2 \, e^{\left(-5 \, b x - 5 \, a\right)}}{192 \, x^{3}}"," ",0,"1/192*(125*b^3*x^3*Ei(5*b*x)*e^(5*a) - 27*b^3*x^3*Ei(3*b*x)*e^(3*a) - 2*b^3*x^3*Ei(-b*x)*e^(-a) - 27*b^3*x^3*Ei(-3*b*x)*e^(-3*a) + 125*b^3*x^3*Ei(-5*b*x)*e^(-5*a) - 2*b^3*x^3*Ei(b*x)*e^a - 25*b^2*x^2*e^(5*b*x + 5*a) + 9*b^2*x^2*e^(3*b*x + 3*a) + 2*b^2*x^2*e^(b*x + a) - 2*b^2*x^2*e^(-b*x - a) - 9*b^2*x^2*e^(-3*b*x - 3*a) + 25*b^2*x^2*e^(-5*b*x - 5*a) - 5*b*x*e^(5*b*x + 5*a) + 3*b*x*e^(3*b*x + 3*a) + 2*b*x*e^(b*x + a) + 2*b*x*e^(-b*x - a) + 3*b*x*e^(-3*b*x - 3*a) - 5*b*x*e^(-5*b*x - 5*a) - 2*e^(5*b*x + 5*a) + 2*e^(3*b*x + 3*a) + 4*e^(b*x + a) - 4*e^(-b*x - a) - 2*e^(-3*b*x - 3*a) + 2*e^(-5*b*x - 5*a))/x^3","A",0
325,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)^3*sinh(b*x + a)^3, x)","F",0
326,1,145,0,0.149601," ","integrate(x^3*cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(36 \, b^{3} x^{3} - 18 \, b^{2} x^{2} + 6 \, b x - 1\right)} e^{\left(6 \, b x + 6 \, a\right)}}{13824 \, b^{4}} - \frac{3 \, {\left(4 \, b^{3} x^{3} - 6 \, b^{2} x^{2} + 6 \, b x - 3\right)} e^{\left(2 \, b x + 2 \, a\right)}}{512 \, b^{4}} - \frac{3 \, {\left(4 \, b^{3} x^{3} + 6 \, b^{2} x^{2} + 6 \, b x + 3\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{512 \, b^{4}} + \frac{{\left(36 \, b^{3} x^{3} + 18 \, b^{2} x^{2} + 6 \, b x + 1\right)} e^{\left(-6 \, b x - 6 \, a\right)}}{13824 \, b^{4}}"," ",0,"1/13824*(36*b^3*x^3 - 18*b^2*x^2 + 6*b*x - 1)*e^(6*b*x + 6*a)/b^4 - 3/512*(4*b^3*x^3 - 6*b^2*x^2 + 6*b*x - 3)*e^(2*b*x + 2*a)/b^4 - 3/512*(4*b^3*x^3 + 6*b^2*x^2 + 6*b*x + 3)*e^(-2*b*x - 2*a)/b^4 + 1/13824*(36*b^3*x^3 + 18*b^2*x^2 + 6*b*x + 1)*e^(-6*b*x - 6*a)/b^4","A",0
327,1,113,0,0.137306," ","integrate(x^2*cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(18 \, b^{2} x^{2} - 6 \, b x + 1\right)} e^{\left(6 \, b x + 6 \, a\right)}}{6912 \, b^{3}} - \frac{3 \, {\left(2 \, b^{2} x^{2} - 2 \, b x + 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{256 \, b^{3}} - \frac{3 \, {\left(2 \, b^{2} x^{2} + 2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{256 \, b^{3}} + \frac{{\left(18 \, b^{2} x^{2} + 6 \, b x + 1\right)} e^{\left(-6 \, b x - 6 \, a\right)}}{6912 \, b^{3}}"," ",0,"1/6912*(18*b^2*x^2 - 6*b*x + 1)*e^(6*b*x + 6*a)/b^3 - 3/256*(2*b^2*x^2 - 2*b*x + 1)*e^(2*b*x + 2*a)/b^3 - 3/256*(2*b^2*x^2 + 2*b*x + 1)*e^(-2*b*x - 2*a)/b^3 + 1/6912*(18*b^2*x^2 + 6*b*x + 1)*e^(-6*b*x - 6*a)/b^3","A",0
328,1,81,0,0.148951," ","integrate(x*cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(6 \, b x - 1\right)} e^{\left(6 \, b x + 6 \, a\right)}}{2304 \, b^{2}} - \frac{3 \, {\left(2 \, b x - 1\right)} e^{\left(2 \, b x + 2 \, a\right)}}{256 \, b^{2}} - \frac{3 \, {\left(2 \, b x + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}}{256 \, b^{2}} + \frac{{\left(6 \, b x + 1\right)} e^{\left(-6 \, b x - 6 \, a\right)}}{2304 \, b^{2}}"," ",0,"1/2304*(6*b*x - 1)*e^(6*b*x + 6*a)/b^2 - 3/256*(2*b*x - 1)*e^(2*b*x + 2*a)/b^2 - 3/256*(2*b*x + 1)*e^(-2*b*x - 2*a)/b^2 + 1/2304*(6*b*x + 1)*e^(-6*b*x - 6*a)/b^2","A",0
329,1,57,0,0.149562," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{e^{\left(6 \, b x + 6 \, a\right)}}{384 \, b} - \frac{3 \, e^{\left(2 \, b x + 2 \, a\right)}}{128 \, b} - \frac{3 \, e^{\left(-2 \, b x - 2 \, a\right)}}{128 \, b} + \frac{e^{\left(-6 \, b x - 6 \, a\right)}}{384 \, b}"," ",0,"1/384*e^(6*b*x + 6*a)/b - 3/128*e^(2*b*x + 2*a)/b - 3/128*e^(-2*b*x - 2*a)/b + 1/384*e^(-6*b*x - 6*a)/b","B",0
330,1,45,0,0.126735," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^3/x,x, algorithm=""giac"")","\frac{1}{64} \, {\rm Ei}\left(6 \, b x\right) e^{\left(6 \, a\right)} - \frac{3}{64} \, {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} + \frac{3}{64} \, {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)} - \frac{1}{64} \, {\rm Ei}\left(-6 \, b x\right) e^{\left(-6 \, a\right)}"," ",0,"1/64*Ei(6*b*x)*e^(6*a) - 3/64*Ei(2*b*x)*e^(2*a) + 3/64*Ei(-2*b*x)*e^(-2*a) - 1/64*Ei(-6*b*x)*e^(-6*a)","A",0
331,1,100,0,0.128760," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^3/x^2,x, algorithm=""giac"")","\frac{6 \, b x {\rm Ei}\left(6 \, b x\right) e^{\left(6 \, a\right)} - 6 \, b x {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} - 6 \, b x {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)} + 6 \, b x {\rm Ei}\left(-6 \, b x\right) e^{\left(-6 \, a\right)} - e^{\left(6 \, b x + 6 \, a\right)} + 3 \, e^{\left(2 \, b x + 2 \, a\right)} - 3 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-6 \, b x - 6 \, a\right)}}{64 \, x}"," ",0,"1/64*(6*b*x*Ei(6*b*x)*e^(6*a) - 6*b*x*Ei(2*b*x)*e^(2*a) - 6*b*x*Ei(-2*b*x)*e^(-2*a) + 6*b*x*Ei(-6*b*x)*e^(-6*a) - e^(6*b*x + 6*a) + 3*e^(2*b*x + 2*a) - 3*e^(-2*b*x - 2*a) + e^(-6*b*x - 6*a))/x","A",0
332,1,168,0,0.132581," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^3/x^3,x, algorithm=""giac"")","\frac{36 \, b^{2} x^{2} {\rm Ei}\left(6 \, b x\right) e^{\left(6 \, a\right)} - 12 \, b^{2} x^{2} {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} + 12 \, b^{2} x^{2} {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)} - 36 \, b^{2} x^{2} {\rm Ei}\left(-6 \, b x\right) e^{\left(-6 \, a\right)} - 6 \, b x e^{\left(6 \, b x + 6 \, a\right)} + 6 \, b x e^{\left(2 \, b x + 2 \, a\right)} + 6 \, b x e^{\left(-2 \, b x - 2 \, a\right)} - 6 \, b x e^{\left(-6 \, b x - 6 \, a\right)} - e^{\left(6 \, b x + 6 \, a\right)} + 3 \, e^{\left(2 \, b x + 2 \, a\right)} - 3 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-6 \, b x - 6 \, a\right)}}{128 \, x^{2}}"," ",0,"1/128*(36*b^2*x^2*Ei(6*b*x)*e^(6*a) - 12*b^2*x^2*Ei(2*b*x)*e^(2*a) + 12*b^2*x^2*Ei(-2*b*x)*e^(-2*a) - 36*b^2*x^2*Ei(-6*b*x)*e^(-6*a) - 6*b*x*e^(6*b*x + 6*a) + 6*b*x*e^(2*b*x + 2*a) + 6*b*x*e^(-2*b*x - 2*a) - 6*b*x*e^(-6*b*x - 6*a) - e^(6*b*x + 6*a) + 3*e^(2*b*x + 2*a) - 3*e^(-2*b*x - 2*a) + e^(-6*b*x - 6*a))/x^2","A",0
333,1,236,0,0.134496," ","integrate(cosh(b*x+a)^3*sinh(b*x+a)^3/x^4,x, algorithm=""giac"")","\frac{108 \, b^{3} x^{3} {\rm Ei}\left(6 \, b x\right) e^{\left(6 \, a\right)} - 12 \, b^{3} x^{3} {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} - 12 \, b^{3} x^{3} {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)} + 108 \, b^{3} x^{3} {\rm Ei}\left(-6 \, b x\right) e^{\left(-6 \, a\right)} - 18 \, b^{2} x^{2} e^{\left(6 \, b x + 6 \, a\right)} + 6 \, b^{2} x^{2} e^{\left(2 \, b x + 2 \, a\right)} - 6 \, b^{2} x^{2} e^{\left(-2 \, b x - 2 \, a\right)} + 18 \, b^{2} x^{2} e^{\left(-6 \, b x - 6 \, a\right)} - 3 \, b x e^{\left(6 \, b x + 6 \, a\right)} + 3 \, b x e^{\left(2 \, b x + 2 \, a\right)} + 3 \, b x e^{\left(-2 \, b x - 2 \, a\right)} - 3 \, b x e^{\left(-6 \, b x - 6 \, a\right)} - e^{\left(6 \, b x + 6 \, a\right)} + 3 \, e^{\left(2 \, b x + 2 \, a\right)} - 3 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-6 \, b x - 6 \, a\right)}}{192 \, x^{3}}"," ",0,"1/192*(108*b^3*x^3*Ei(6*b*x)*e^(6*a) - 12*b^3*x^3*Ei(2*b*x)*e^(2*a) - 12*b^3*x^3*Ei(-2*b*x)*e^(-2*a) + 108*b^3*x^3*Ei(-6*b*x)*e^(-6*a) - 18*b^2*x^2*e^(6*b*x + 6*a) + 6*b^2*x^2*e^(2*b*x + 2*a) - 6*b^2*x^2*e^(-2*b*x - 2*a) + 18*b^2*x^2*e^(-6*b*x - 6*a) - 3*b*x*e^(6*b*x + 6*a) + 3*b*x*e^(2*b*x + 2*a) + 3*b*x*e^(-2*b*x - 2*a) - 3*b*x*e^(-6*b*x - 6*a) - e^(6*b*x + 6*a) + 3*e^(2*b*x + 2*a) - 3*e^(-2*b*x - 2*a) + e^(-6*b*x - 6*a))/x^3","A",0
334,0,0,0,0.000000," ","integrate(x^m*sech(b*x+a)*sinh(b*x+a),x, algorithm=""giac"")","\int x^{m} \operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*sech(b*x + a)*sinh(b*x + a), x)","F",0
335,0,0,0,0.000000," ","integrate(x^3*sech(b*x+a)*sinh(b*x+a),x, algorithm=""giac"")","\int x^{3} \operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^3*sech(b*x + a)*sinh(b*x + a), x)","F",0
336,0,0,0,0.000000," ","integrate(x^2*sech(b*x+a)*sinh(b*x+a),x, algorithm=""giac"")","\int x^{2} \operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^2*sech(b*x + a)*sinh(b*x + a), x)","F",0
337,0,0,0,0.000000," ","integrate(x*sech(b*x+a)*sinh(b*x+a),x, algorithm=""giac"")","\int x \operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x*sech(b*x + a)*sinh(b*x + a), x)","F",0
338,1,24,0,0.130628," ","integrate(sech(b*x+a)*sinh(b*x+a),x, algorithm=""giac"")","-\frac{b x + a - \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{b}"," ",0,"-(b*x + a - log(e^(2*b*x + 2*a) + 1))/b","B",0
339,0,0,0,0.000000," ","integrate(sech(b*x+a)*sinh(b*x+a)/x,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(sech(b*x + a)*sinh(b*x + a)/x, x)","F",0
340,0,0,0,0.000000," ","integrate(sech(b*x+a)*sinh(b*x+a)/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(sech(b*x + a)*sinh(b*x + a)/x^2, x)","F",0
341,0,0,0,0.000000," ","integrate(x^m*sech(b*x+a)^2*sinh(b*x+a),x, algorithm=""giac"")","\int x^{m} \operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*sech(b*x + a)^2*sinh(b*x + a), x)","F",0
342,0,0,0,0.000000," ","integrate(x^3*sech(b*x+a)^2*sinh(b*x+a),x, algorithm=""giac"")","\int x^{3} \operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^3*sech(b*x + a)^2*sinh(b*x + a), x)","F",0
343,0,0,0,0.000000," ","integrate(x^2*sech(b*x+a)^2*sinh(b*x+a),x, algorithm=""giac"")","\int x^{2} \operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^2*sech(b*x + a)^2*sinh(b*x + a), x)","F",0
344,1,70,0,0.160917," ","integrate(x*sech(b*x+a)^2*sinh(b*x+a),x, algorithm=""giac"")","-\frac{2 \, {\left(\pi + b x e^{\left(b x + a\right)} + \pi e^{\left(2 \, b x + 2 \, a\right)} - \arctan\left(e^{\left(b x + a\right)}\right) e^{\left(2 \, b x + 2 \, a\right)} - \arctan\left(e^{\left(b x + a\right)}\right)\right)}}{b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}}"," ",0,"-2*(pi + b*x*e^(b*x + a) + pi*e^(2*b*x + 2*a) - arctan(e^(b*x + a))*e^(2*b*x + 2*a) - arctan(e^(b*x + a)))/(b^2*e^(2*b*x + 2*a) + b^2)","B",0
345,1,23,0,0.121180," ","integrate(sech(b*x+a)^2*sinh(b*x+a),x, algorithm=""giac"")","-\frac{2}{b {\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}}"," ",0,"-2/(b*(e^(b*x + a) + e^(-b*x - a)))","B",0
346,0,0,0,0.000000," ","integrate(sech(b*x+a)^2*sinh(b*x+a)/x,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(sech(b*x + a)^2*sinh(b*x + a)/x, x)","F",0
347,0,0,0,0.000000," ","integrate(sech(b*x+a)^2*sinh(b*x+a)/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(sech(b*x + a)^2*sinh(b*x + a)/x^2, x)","F",0
348,0,0,0,0.000000," ","integrate(x^m*sech(b*x+a)^3*sinh(b*x+a),x, algorithm=""giac"")","\int x^{m} \operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*sech(b*x + a)^3*sinh(b*x + a), x)","F",0
349,0,0,0,0.000000," ","integrate(x^3*sech(b*x+a)^3*sinh(b*x+a),x, algorithm=""giac"")","\int x^{3} \operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x^3*sech(b*x + a)^3*sinh(b*x + a), x)","F",0
350,1,142,0,0.128695," ","integrate(x^2*sech(b*x+a)^3*sinh(b*x+a),x, algorithm=""giac"")","-\frac{2 \, b^{2} x^{2} e^{\left(2 \, b x + 2 \, a\right)} - 2 \, b x e^{\left(4 \, b x + 4 \, a\right)} - 2 \, b x e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(4 \, b x + 4 \, a\right)} \log\left(-e^{\left(2 \, b x + 2 \, a\right)} - 1\right) + 2 \, e^{\left(2 \, b x + 2 \, a\right)} \log\left(-e^{\left(2 \, b x + 2 \, a\right)} - 1\right) + \log\left(-e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}{b^{3} e^{\left(4 \, b x + 4 \, a\right)} + 2 \, b^{3} e^{\left(2 \, b x + 2 \, a\right)} + b^{3}}"," ",0,"-(2*b^2*x^2*e^(2*b*x + 2*a) - 2*b*x*e^(4*b*x + 4*a) - 2*b*x*e^(2*b*x + 2*a) + e^(4*b*x + 4*a)*log(-e^(2*b*x + 2*a) - 1) + 2*e^(2*b*x + 2*a)*log(-e^(2*b*x + 2*a) - 1) + log(-e^(2*b*x + 2*a) - 1))/(b^3*e^(4*b*x + 4*a) + 2*b^3*e^(2*b*x + 2*a) + b^3)","B",0
351,1,184,0,0.145571," ","integrate(x*sech(b*x+a)^3*sinh(b*x+a),x, algorithm=""giac"")","-\frac{4 \, b x e^{\left(2 \, b x + 2 \, a\right)} - e^{\left(4 \, b x + 4 \, a\right)} \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right) - 2 \, e^{\left(2 \, b x + 2 \, a\right)} \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + e^{\left(4 \, b x + 4 \, a\right)} \log\left(-e^{\left(2 \, b x + 2 \, a\right)} - 1\right) + 2 \, e^{\left(2 \, b x + 2 \, a\right)} \log\left(-e^{\left(2 \, b x + 2 \, a\right)} - 1\right) + 2 \, e^{\left(2 \, b x + 2 \, a\right)} - \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + \log\left(-e^{\left(2 \, b x + 2 \, a\right)} - 1\right) + 2}{2 \, {\left(b^{2} e^{\left(4 \, b x + 4 \, a\right)} + 2 \, b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}\right)}}"," ",0,"-1/2*(4*b*x*e^(2*b*x + 2*a) - e^(4*b*x + 4*a)*log(e^(2*b*x + 2*a) + 1) - 2*e^(2*b*x + 2*a)*log(e^(2*b*x + 2*a) + 1) + e^(4*b*x + 4*a)*log(-e^(2*b*x + 2*a) - 1) + 2*e^(2*b*x + 2*a)*log(-e^(2*b*x + 2*a) - 1) + 2*e^(2*b*x + 2*a) - log(e^(2*b*x + 2*a) + 1) + log(-e^(2*b*x + 2*a) - 1) + 2)/(b^2*e^(4*b*x + 4*a) + 2*b^2*e^(2*b*x + 2*a) + b^2)","B",0
352,1,27,0,0.143083," ","integrate(sech(b*x+a)^3*sinh(b*x+a),x, algorithm=""giac"")","-\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{b {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{2}}"," ",0,"-2*e^(2*b*x + 2*a)/(b*(e^(2*b*x + 2*a) + 1)^2)","B",0
353,0,0,0,0.000000," ","integrate(sech(b*x+a)^3*sinh(b*x+a)/x,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(sech(b*x + a)^3*sinh(b*x + a)/x, x)","F",0
354,0,0,0,0.000000," ","integrate(sech(b*x+a)^3*sinh(b*x+a)/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(sech(b*x + a)^3*sinh(b*x + a)/x^2, x)","F",0
355,0,0,0,0.000000," ","integrate(x^m*sech(b*x+a)*sinh(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} \operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*sech(b*x + a)*sinh(b*x + a)^2, x)","F",0
356,0,0,0,0.000000," ","integrate(x^3*sech(b*x+a)*sinh(b*x+a)^2,x, algorithm=""giac"")","\int x^{3} \operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^3*sech(b*x + a)*sinh(b*x + a)^2, x)","F",0
357,0,0,0,0.000000," ","integrate(x^2*sech(b*x+a)*sinh(b*x+a)^2,x, algorithm=""giac"")","\int x^{2} \operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^2*sech(b*x + a)*sinh(b*x + a)^2, x)","F",0
358,0,0,0,0.000000," ","integrate(x*sech(b*x+a)*sinh(b*x+a)^2,x, algorithm=""giac"")","\int x \operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x*sech(b*x + a)*sinh(b*x + a)^2, x)","F",0
359,1,32,0,0.135700," ","integrate(sech(b*x+a)*sinh(b*x+a)^2,x, algorithm=""giac"")","-\frac{4 \, \arctan\left(e^{\left(b x + a\right)}\right) - e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"-1/2*(4*arctan(e^(b*x + a)) - e^(b*x + a) + e^(-b*x - a))/b","A",0
360,0,0,0,0.000000," ","integrate(sech(b*x+a)*sinh(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(sech(b*x + a)*sinh(b*x + a)^2/x, x)","F",0
361,0,0,0,0.000000," ","integrate(sech(b*x+a)*sinh(b*x+a)^2/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(sech(b*x + a)*sinh(b*x + a)^2/x^2, x)","F",0
362,0,0,0,0.000000," ","integrate(x^m*sech(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} \operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*sech(b*x + a)^2*sinh(b*x + a)^2, x)","F",0
363,0,0,0,0.000000," ","integrate(x^3*sech(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""giac"")","\int x^{3} \operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^3*sech(b*x + a)^2*sinh(b*x + a)^2, x)","F",0
364,0,0,0,0.000000," ","integrate(x^2*sech(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""giac"")","\int x^{2} \operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^2*sech(b*x + a)^2*sinh(b*x + a)^2, x)","F",0
365,1,95,0,0.144453," ","integrate(x*sech(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{b^{2} x^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2} x^{2} - 4 \, b x e^{\left(2 \, b x + 2 \, a\right)} + 2 \, e^{\left(2 \, b x + 2 \, a\right)} \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 2 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{2 \, {\left(b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}\right)}}"," ",0,"1/2*(b^2*x^2*e^(2*b*x + 2*a) + b^2*x^2 - 4*b*x*e^(2*b*x + 2*a) + 2*e^(2*b*x + 2*a)*log(e^(2*b*x + 2*a) + 1) + 2*log(e^(2*b*x + 2*a) + 1))/(b^2*e^(2*b*x + 2*a) + b^2)","B",0
366,1,24,0,0.134070," ","integrate(sech(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{b x + a + \frac{2}{e^{\left(2 \, b x + 2 \, a\right)} + 1}}{b}"," ",0,"(b*x + a + 2/(e^(2*b*x + 2*a) + 1))/b","A",0
367,0,0,0,0.000000," ","integrate(sech(b*x+a)^2*sinh(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(sech(b*x + a)^2*sinh(b*x + a)^2/x, x)","F",0
368,0,0,0,0.000000," ","integrate(sech(b*x+a)^2*sinh(b*x+a)^2/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(sech(b*x + a)^2*sinh(b*x + a)^2/x^2, x)","F",0
369,0,0,0,0.000000," ","integrate(x^m*sech(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} \operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*sech(b*x + a)^3*sinh(b*x + a)^2, x)","F",0
370,0,0,0,0.000000," ","integrate(x^3*sech(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""giac"")","\int x^{3} \operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^3*sech(b*x + a)^3*sinh(b*x + a)^2, x)","F",0
371,0,0,0,0.000000," ","integrate(x^2*sech(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""giac"")","\int x^{2} \operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^2*sech(b*x + a)^3*sinh(b*x + a)^2, x)","F",0
372,0,0,0,0.000000," ","integrate(x*sech(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""giac"")","\int x \operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x*sech(b*x + a)^3*sinh(b*x + a)^2, x)","F",0
373,1,76,0,0.154776," ","integrate(sech(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{\pi - \frac{4 \, {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}}{{\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{2} + 4} + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right)}{4 \, b}"," ",0,"1/4*(pi - 4*(e^(b*x + a) - e^(-b*x - a))/((e^(b*x + a) - e^(-b*x - a))^2 + 4) + 2*arctan(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)))/b","B",0
374,0,0,0,0.000000," ","integrate(sech(b*x+a)^3*sinh(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(sech(b*x + a)^3*sinh(b*x + a)^2/x, x)","F",0
375,0,0,0,0.000000," ","integrate(sech(b*x+a)^3*sinh(b*x+a)^2/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(sech(b*x + a)^3*sinh(b*x + a)^2/x^2, x)","F",0
376,0,0,0,0.000000," ","integrate(x^m*sech(b*x+a)*sinh(b*x+a)^3,x, algorithm=""giac"")","\int x^{m} \operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*sech(b*x + a)*sinh(b*x + a)^3, x)","F",0
377,0,0,0,0.000000," ","integrate(x^3*sech(b*x+a)*sinh(b*x+a)^3,x, algorithm=""giac"")","\int x^{3} \operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^3*sech(b*x + a)*sinh(b*x + a)^3, x)","F",0
378,0,0,0,0.000000," ","integrate(x^2*sech(b*x+a)*sinh(b*x+a)^3,x, algorithm=""giac"")","\int x^{2} \operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^2*sech(b*x + a)*sinh(b*x + a)^3, x)","F",0
379,0,0,0,0.000000," ","integrate(x*sech(b*x+a)*sinh(b*x+a)^3,x, algorithm=""giac"")","\int x \operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x*sech(b*x + a)*sinh(b*x + a)^3, x)","F",0
380,1,60,0,0.147877," ","integrate(sech(b*x+a)*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{8 \, b x - {\left(4 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-2 \, b x - 2 \, a\right)} + 8 \, a + e^{\left(2 \, b x + 2 \, a\right)} - 8 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{8 \, b}"," ",0,"1/8*(8*b*x - (4*e^(2*b*x + 2*a) - 1)*e^(-2*b*x - 2*a) + 8*a + e^(2*b*x + 2*a) - 8*log(e^(2*b*x + 2*a) + 1))/b","B",0
381,0,0,0,0.000000," ","integrate(sech(b*x+a)*sinh(b*x+a)^3/x,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(sech(b*x + a)*sinh(b*x + a)^3/x, x)","F",0
382,0,0,0,0.000000," ","integrate(sech(b*x+a)*sinh(b*x+a)^3/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right) \sinh\left(b x + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(sech(b*x + a)*sinh(b*x + a)^3/x^2, x)","F",0
383,0,0,0,0.000000," ","integrate(x^m*sech(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""giac"")","\int x^{m} \operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*sech(b*x + a)^2*sinh(b*x + a)^3, x)","F",0
384,0,0,0,0.000000," ","integrate(x^3*sech(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""giac"")","\int x^{3} \operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^3*sech(b*x + a)^2*sinh(b*x + a)^3, x)","F",0
385,0,0,0,0.000000," ","integrate(x^2*sech(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""giac"")","\int x^{2} \operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^2*sech(b*x + a)^2*sinh(b*x + a)^3, x)","F",0
386,1,102,0,0.185883," ","integrate(x*sech(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{b x e^{\left(4 \, b x + 4 \, a\right)} + 6 \, b x e^{\left(2 \, b x + 2 \, a\right)} + b x - 4 \, \arctan\left(e^{\left(b x + a\right)}\right) e^{\left(3 \, b x + 3 \, a\right)} - 4 \, \arctan\left(e^{\left(b x + a\right)}\right) e^{\left(b x + a\right)} - e^{\left(4 \, b x + 4 \, a\right)} + 1}{2 \, {\left(b^{2} e^{\left(3 \, b x + 3 \, a\right)} + b^{2} e^{\left(b x + a\right)}\right)}}"," ",0,"1/2*(b*x*e^(4*b*x + 4*a) + 6*b*x*e^(2*b*x + 2*a) + b*x - 4*arctan(e^(b*x + a))*e^(3*b*x + 3*a) - 4*arctan(e^(b*x + a))*e^(b*x + a) - e^(4*b*x + 4*a) + 1)/(b^2*e^(3*b*x + 3*a) + b^2*e^(b*x + a))","B",0
387,1,41,0,0.147041," ","integrate(sech(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{\frac{4}{e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}} + e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"1/2*(4/(e^(b*x + a) + e^(-b*x - a)) + e^(b*x + a) + e^(-b*x - a))/b","A",0
388,0,0,0,0.000000," ","integrate(sech(b*x+a)^2*sinh(b*x+a)^3/x,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(sech(b*x + a)^2*sinh(b*x + a)^3/x, x)","F",0
389,0,0,0,0.000000," ","integrate(sech(b*x+a)^2*sinh(b*x+a)^3/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{2} \sinh\left(b x + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(sech(b*x + a)^2*sinh(b*x + a)^3/x^2, x)","F",0
390,0,0,0,0.000000," ","integrate(x^m*sech(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""giac"")","\int x^{m} \operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*sech(b*x + a)^3*sinh(b*x + a)^3, x)","F",0
391,0,0,0,0.000000," ","integrate(x^3*sech(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""giac"")","\int x^{3} \operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^3*sech(b*x + a)^3*sinh(b*x + a)^3, x)","F",0
392,0,0,0,0.000000," ","integrate(x^2*sech(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""giac"")","\int x^{2} \operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^2*sech(b*x + a)^3*sinh(b*x + a)^3, x)","F",0
393,0,0,0,0.000000," ","integrate(x*sech(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""giac"")","\int x \operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x*sech(b*x + a)^3*sinh(b*x + a)^3, x)","F",0
394,1,65,0,0.155587," ","integrate(sech(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, b x + 2 \, a + \frac{3 \, e^{\left(4 \, b x + 4 \, a\right)} + 2 \, e^{\left(2 \, b x + 2 \, a\right)} + 3}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{2}} - 2 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{2 \, b}"," ",0,"-1/2*(2*b*x + 2*a + (3*e^(4*b*x + 4*a) + 2*e^(2*b*x + 2*a) + 3)/(e^(2*b*x + 2*a) + 1)^2 - 2*log(e^(2*b*x + 2*a) + 1))/b","B",0
395,0,0,0,0.000000," ","integrate(sech(b*x+a)^3*sinh(b*x+a)^3/x,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(sech(b*x + a)^3*sinh(b*x + a)^3/x, x)","F",0
396,0,0,0,0.000000," ","integrate(sech(b*x+a)^3*sinh(b*x+a)^3/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(b x + a\right)^{3} \sinh\left(b x + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(sech(b*x + a)^3*sinh(b*x + a)^3/x^2, x)","F",0
397,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)*csch(b*x+a),x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)*csch(b*x + a), x)","F",0
398,0,0,0,0.000000," ","integrate(x^3*cosh(b*x+a)*csch(b*x+a),x, algorithm=""giac"")","\int x^{3} \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^3*cosh(b*x + a)*csch(b*x + a), x)","F",0
399,0,0,0,0.000000," ","integrate(x^2*cosh(b*x+a)*csch(b*x+a),x, algorithm=""giac"")","\int x^{2} \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^2*cosh(b*x + a)*csch(b*x + a), x)","F",0
400,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a),x, algorithm=""giac"")","\int x \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)\,{d x}"," ",0,"integrate(x*cosh(b*x + a)*csch(b*x + a), x)","F",0
401,1,25,0,0.116474," ","integrate(cosh(b*x+a)*csch(b*x+a),x, algorithm=""giac"")","-\frac{b x + a - \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{b}"," ",0,"-(b*x + a - log(abs(e^(2*b*x + 2*a) - 1)))/b","B",0
402,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+a)/x,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(cosh(b*x + a)*csch(b*x + a)/x, x)","F",0
403,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+a)/x^2,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(cosh(b*x + a)*csch(b*x + a)/x^2, x)","F",0
404,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)^2*csch(b*x+a),x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)^2*csch(b*x + a), x)","F",0
405,0,0,0,0.000000," ","integrate(x^3*cosh(b*x+a)^2*csch(b*x+a),x, algorithm=""giac"")","\int x^{3} \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^3*cosh(b*x + a)^2*csch(b*x + a), x)","F",0
406,0,0,0,0.000000," ","integrate(x^2*cosh(b*x+a)^2*csch(b*x+a),x, algorithm=""giac"")","\int x^{2} \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^2*cosh(b*x + a)^2*csch(b*x + a), x)","F",0
407,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)^2*csch(b*x+a),x, algorithm=""giac"")","\int x \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)\,{d x}"," ",0,"integrate(x*cosh(b*x + a)^2*csch(b*x + a), x)","F",0
408,1,44,0,0.119609," ","integrate(cosh(b*x+a)^2*csch(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} - 2 \, \log\left(e^{\left(b x + a\right)} + 1\right) + 2 \, \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{2 \, b}"," ",0,"1/2*(e^(b*x + a) + e^(-b*x - a) - 2*log(e^(b*x + a) + 1) + 2*log(abs(e^(b*x + a) - 1)))/b","A",0
409,0,0,0,0.000000," ","integrate(cosh(b*x+a)^2*csch(b*x+a)/x,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(cosh(b*x + a)^2*csch(b*x + a)/x, x)","F",0
410,0,0,0,0.000000," ","integrate(cosh(b*x+a)^2*csch(b*x+a)/x^2,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^2*csch(b*x + a)/x^2, x)","F",0
411,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)^3*csch(b*x + a), x)","F",0
412,0,0,0,0.000000," ","integrate(x^3*cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""giac"")","\int x^{3} \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^3*cosh(b*x + a)^3*csch(b*x + a), x)","F",0
413,0,0,0,0.000000," ","integrate(x^2*cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""giac"")","\int x^{2} \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^2*cosh(b*x + a)^3*csch(b*x + a), x)","F",0
414,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""giac"")","\int x \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)\,{d x}"," ",0,"integrate(x*cosh(b*x + a)^3*csch(b*x + a), x)","F",0
415,1,63,0,0.139745," ","integrate(cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""giac"")","-\frac{8 \, b x - {\left(4 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)} + 8 \, a - e^{\left(2 \, b x + 2 \, a\right)} - 8 \, \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{8 \, b}"," ",0,"-1/8*(8*b*x - (4*e^(2*b*x + 2*a) + 1)*e^(-2*b*x - 2*a) + 8*a - e^(2*b*x + 2*a) - 8*log(abs(e^(2*b*x + 2*a) - 1)))/b","B",0
416,0,0,0,0.000000," ","integrate(cosh(b*x+a)^3*csch(b*x+a)/x,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(cosh(b*x + a)^3*csch(b*x + a)/x, x)","F",0
417,0,0,0,0.000000," ","integrate(cosh(b*x+a)^3*csch(b*x+a)/x^2,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^3*csch(b*x + a)/x^2, x)","F",0
418,1,101,0,0.118247," ","integrate(x*cosh(x)^2*coth(x)^2,x, algorithm=""giac"")","\frac{12 \, x^{2} e^{\left(4 \, x\right)} - 12 \, x^{2} e^{\left(2 \, x\right)} + 2 \, x e^{\left(6 \, x\right)} - 34 \, x e^{\left(4 \, x\right)} - 2 \, x e^{\left(2 \, x\right)} + 16 \, e^{\left(4 \, x\right)} \log\left(e^{\left(2 \, x\right)} - 1\right) - 16 \, e^{\left(2 \, x\right)} \log\left(e^{\left(2 \, x\right)} - 1\right) + 2 \, x - e^{\left(6 \, x\right)} + e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)} + 1}{16 \, {\left(e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}\right)}}"," ",0,"1/16*(12*x^2*e^(4*x) - 12*x^2*e^(2*x) + 2*x*e^(6*x) - 34*x*e^(4*x) - 2*x*e^(2*x) + 16*e^(4*x)*log(e^(2*x) - 1) - 16*e^(2*x)*log(e^(2*x) - 1) + 2*x - e^(6*x) + e^(4*x) - e^(2*x) + 1)/(e^(4*x) - e^(2*x))","B",0
419,0,0,0,0.000000," ","integrate(x^2*cosh(x)^2*coth(x)^2,x, algorithm=""giac"")","\int x^{2} \cosh\left(x\right)^{2} \coth\left(x\right)^{2}\,{d x}"," ",0,"integrate(x^2*cosh(x)^2*coth(x)^2, x)","F",0
420,0,0,0,0.000000," ","integrate(x^3*cosh(x)^2*coth(x)^2,x, algorithm=""giac"")","\int x^{3} \cosh\left(x\right)^{2} \coth\left(x\right)^{2}\,{d x}"," ",0,"integrate(x^3*cosh(x)^2*coth(x)^2, x)","F",0
421,0,0,0,0.000000," ","integrate(x*cosh(x)^2*coth(x)^3,x, algorithm=""giac"")","\int x \cosh\left(x\right)^{2} \coth\left(x\right)^{3}\,{d x}"," ",0,"integrate(x*cosh(x)^2*coth(x)^3, x)","F",0
422,0,0,0,0.000000," ","integrate(x^2*cosh(x)^2*coth(x)^3,x, algorithm=""giac"")","\int x^{2} \cosh\left(x\right)^{2} \coth\left(x\right)^{3}\,{d x}"," ",0,"integrate(x^2*cosh(x)^2*coth(x)^3, x)","F",0
423,0,0,0,0.000000," ","integrate(x^3*cosh(x)^2*coth(x)^3,x, algorithm=""giac"")","\int x^{3} \cosh\left(x\right)^{2} \coth\left(x\right)^{3}\,{d x}"," ",0,"integrate(x^3*cosh(x)^2*coth(x)^3, x)","F",0
424,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)*csch(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)*csch(b*x + a)^2, x)","F",0
425,0,0,0,0.000000," ","integrate(x^3*cosh(b*x+a)*csch(b*x+a)^2,x, algorithm=""giac"")","\int x^{3} \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^3*cosh(b*x + a)*csch(b*x + a)^2, x)","F",0
426,0,0,0,0.000000," ","integrate(x^2*cosh(b*x+a)*csch(b*x+a)^2,x, algorithm=""giac"")","\int x^{2} \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^2*cosh(b*x + a)*csch(b*x + a)^2, x)","F",0
427,1,93,0,0.151170," ","integrate(x*cosh(b*x+a)*csch(b*x+a)^2,x, algorithm=""giac"")","-\frac{2 \, b x e^{\left(b x + a\right)} + e^{\left(2 \, b x + 2 \, a\right)} \log\left(e^{\left(b x + a\right)} + 1\right) - e^{\left(2 \, b x + 2 \, a\right)} \log\left(e^{\left(b x + a\right)} - 1\right) - \log\left(e^{\left(b x + a\right)} + 1\right) + \log\left(e^{\left(b x + a\right)} - 1\right)}{b^{2} e^{\left(2 \, b x + 2 \, a\right)} - b^{2}}"," ",0,"-(2*b*x*e^(b*x + a) + e^(2*b*x + 2*a)*log(e^(b*x + a) + 1) - e^(2*b*x + 2*a)*log(e^(b*x + a) - 1) - log(e^(b*x + a) + 1) + log(e^(b*x + a) - 1))/(b^2*e^(2*b*x + 2*a) - b^2)","B",0
428,1,25,0,0.119599," ","integrate(cosh(b*x+a)*csch(b*x+a)^2,x, algorithm=""giac"")","-\frac{2}{b {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}}"," ",0,"-2/(b*(e^(b*x + a) - e^(-b*x - a)))","B",0
429,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(cosh(b*x + a)*csch(b*x + a)^2/x, x)","F",0
430,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+a)^2/x^2,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(cosh(b*x + a)*csch(b*x + a)^2/x^2, x)","F",0
431,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)^2*csch(b*x + a)^2, x)","F",0
432,0,0,0,0.000000," ","integrate(x^3*cosh(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""giac"")","\int x^{3} \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^3*cosh(b*x + a)^2*csch(b*x + a)^2, x)","F",0
433,0,0,0,0.000000," ","integrate(x^2*cosh(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""giac"")","\int x^{2} \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^2*cosh(b*x + a)^2*csch(b*x + a)^2, x)","F",0
434,1,98,0,0.154546," ","integrate(x*cosh(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""giac"")","\frac{b^{2} x^{2} e^{\left(2 \, b x + 2 \, a\right)} - b^{2} x^{2} - 4 \, b x e^{\left(2 \, b x + 2 \, a\right)} + 2 \, e^{\left(2 \, b x + 2 \, a\right)} \log\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right) - 2 \, \log\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}{2 \, {\left(b^{2} e^{\left(2 \, b x + 2 \, a\right)} - b^{2}\right)}}"," ",0,"1/2*(b^2*x^2*e^(2*b*x + 2*a) - b^2*x^2 - 4*b*x*e^(2*b*x + 2*a) + 2*e^(2*b*x + 2*a)*log(e^(2*b*x + 2*a) - 1) - 2*log(e^(2*b*x + 2*a) - 1))/(b^2*e^(2*b*x + 2*a) - b^2)","B",0
435,1,24,0,0.141460," ","integrate(cosh(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""giac"")","\frac{b x + a - \frac{2}{e^{\left(2 \, b x + 2 \, a\right)} - 1}}{b}"," ",0,"(b*x + a - 2/(e^(2*b*x + 2*a) - 1))/b","A",0
436,0,0,0,0.000000," ","integrate(cosh(b*x+a)^2*csch(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(cosh(b*x + a)^2*csch(b*x + a)^2/x, x)","F",0
437,0,0,0,0.000000," ","integrate(cosh(b*x+a)^2*csch(b*x+a)^2/x^2,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^2*csch(b*x + a)^2/x^2, x)","F",0
438,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)^3*csch(b*x + a)^2, x)","F",0
439,0,0,0,0.000000," ","integrate(x^3*cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""giac"")","\int x^{3} \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^3*cosh(b*x + a)^3*csch(b*x + a)^2, x)","F",0
440,0,0,0,0.000000," ","integrate(x^2*cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""giac"")","\int x^{2} \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^2*cosh(b*x + a)^3*csch(b*x + a)^2, x)","F",0
441,1,144,0,0.207566," ","integrate(x*cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""giac"")","\frac{b x e^{\left(4 \, b x + 4 \, a\right)} - 6 \, b x e^{\left(2 \, b x + 2 \, a\right)} + b x - 2 \, e^{\left(3 \, b x + 3 \, a\right)} \log\left(e^{\left(b x + a\right)} + 1\right) + 2 \, e^{\left(b x + a\right)} \log\left(e^{\left(b x + a\right)} + 1\right) + 2 \, e^{\left(3 \, b x + 3 \, a\right)} \log\left(e^{\left(b x + a\right)} - 1\right) - 2 \, e^{\left(b x + a\right)} \log\left(e^{\left(b x + a\right)} - 1\right) - e^{\left(4 \, b x + 4 \, a\right)} + 1}{2 \, {\left(b^{2} e^{\left(3 \, b x + 3 \, a\right)} - b^{2} e^{\left(b x + a\right)}\right)}}"," ",0,"1/2*(b*x*e^(4*b*x + 4*a) - 6*b*x*e^(2*b*x + 2*a) + b*x - 2*e^(3*b*x + 3*a)*log(e^(b*x + a) + 1) + 2*e^(b*x + a)*log(e^(b*x + a) + 1) + 2*e^(3*b*x + 3*a)*log(e^(b*x + a) - 1) - 2*e^(b*x + a)*log(e^(b*x + a) - 1) - e^(4*b*x + 4*a) + 1)/(b^2*e^(3*b*x + 3*a) - b^2*e^(b*x + a))","B",0
442,1,45,0,0.144944," ","integrate(cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{4}{e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}} - e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"-1/2*(4/(e^(b*x + a) - e^(-b*x - a)) - e^(b*x + a) + e^(-b*x - a))/b","B",0
443,0,0,0,0.000000," ","integrate(cosh(b*x+a)^3*csch(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(cosh(b*x + a)^3*csch(b*x + a)^2/x, x)","F",0
444,0,0,0,0.000000," ","integrate(cosh(b*x+a)^3*csch(b*x+a)^2/x^2,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^3*csch(b*x + a)^2/x^2, x)","F",0
445,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)*csch(b*x + a)^3, x)","F",0
446,0,0,0,0.000000," ","integrate(x^3*cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""giac"")","\int x^{3} \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^3*cosh(b*x + a)*csch(b*x + a)^3, x)","F",0
447,1,139,0,0.126348," ","integrate(x^2*cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, b^{2} x^{2} e^{\left(2 \, b x + 2 \, a\right)} + 2 \, b x e^{\left(4 \, b x + 4 \, a\right)} - 2 \, b x e^{\left(2 \, b x + 2 \, a\right)} - e^{\left(4 \, b x + 4 \, a\right)} \log\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right) + 2 \, e^{\left(2 \, b x + 2 \, a\right)} \log\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right) - \log\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}{b^{3} e^{\left(4 \, b x + 4 \, a\right)} - 2 \, b^{3} e^{\left(2 \, b x + 2 \, a\right)} + b^{3}}"," ",0,"-(2*b^2*x^2*e^(2*b*x + 2*a) + 2*b*x*e^(4*b*x + 4*a) - 2*b*x*e^(2*b*x + 2*a) - e^(4*b*x + 4*a)*log(e^(2*b*x + 2*a) - 1) + 2*e^(2*b*x + 2*a)*log(e^(2*b*x + 2*a) - 1) - log(e^(2*b*x + 2*a) - 1))/(b^3*e^(4*b*x + 4*a) - 2*b^3*e^(2*b*x + 2*a) + b^3)","B",0
448,1,184,0,0.124979," ","integrate(x*cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""giac"")","-\frac{4 \, b x e^{\left(2 \, b x + 2 \, a\right)} - e^{\left(4 \, b x + 4 \, a\right)} \log\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right) + 2 \, e^{\left(2 \, b x + 2 \, a\right)} \log\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right) + e^{\left(4 \, b x + 4 \, a\right)} \log\left(-e^{\left(2 \, b x + 2 \, a\right)} + 1\right) - 2 \, e^{\left(2 \, b x + 2 \, a\right)} \log\left(-e^{\left(2 \, b x + 2 \, a\right)} + 1\right) + 2 \, e^{\left(2 \, b x + 2 \, a\right)} - \log\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right) + \log\left(-e^{\left(2 \, b x + 2 \, a\right)} + 1\right) - 2}{2 \, {\left(b^{2} e^{\left(4 \, b x + 4 \, a\right)} - 2 \, b^{2} e^{\left(2 \, b x + 2 \, a\right)} + b^{2}\right)}}"," ",0,"-1/2*(4*b*x*e^(2*b*x + 2*a) - e^(4*b*x + 4*a)*log(e^(2*b*x + 2*a) - 1) + 2*e^(2*b*x + 2*a)*log(e^(2*b*x + 2*a) - 1) + e^(4*b*x + 4*a)*log(-e^(2*b*x + 2*a) + 1) - 2*e^(2*b*x + 2*a)*log(-e^(2*b*x + 2*a) + 1) + 2*e^(2*b*x + 2*a) - log(e^(2*b*x + 2*a) - 1) + log(-e^(2*b*x + 2*a) + 1) - 2)/(b^2*e^(4*b*x + 4*a) - 2*b^2*e^(2*b*x + 2*a) + b^2)","B",0
449,1,27,0,0.146941," ","integrate(cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, e^{\left(2 \, b x + 2 \, a\right)}}{b {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}}"," ",0,"-2*e^(2*b*x + 2*a)/(b*(e^(2*b*x + 2*a) - 1)^2)","B",0
450,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+a)^3/x,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(cosh(b*x + a)*csch(b*x + a)^3/x, x)","F",0
451,0,0,0,0.000000," ","integrate(cosh(b*x+a)*csch(b*x+a)^3/x^2,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(cosh(b*x + a)*csch(b*x + a)^3/x^2, x)","F",0
452,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)^2*csch(b*x + a)^3, x)","F",0
453,0,0,0,0.000000," ","integrate(x^3*cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""giac"")","\int x^{3} \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^3*cosh(b*x + a)^2*csch(b*x + a)^3, x)","F",0
454,0,0,0,0.000000," ","integrate(x^2*cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""giac"")","\int x^{2} \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^2*cosh(b*x + a)^2*csch(b*x + a)^3, x)","F",0
455,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""giac"")","\int x \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)^2*csch(b*x + a)^3, x)","F",0
456,1,84,0,0.137356," ","integrate(cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}}{{\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{2} - 4} + \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} + 2\right) - \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} - 2\right)}{4 \, b}"," ",0,"-1/4*(4*(e^(b*x + a) + e^(-b*x - a))/((e^(b*x + a) + e^(-b*x - a))^2 - 4) + log(e^(b*x + a) + e^(-b*x - a) + 2) - log(e^(b*x + a) + e^(-b*x - a) - 2))/b","B",0
457,0,0,0,0.000000," ","integrate(cosh(b*x+a)^2*csch(b*x+a)^3/x,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(cosh(b*x + a)^2*csch(b*x + a)^3/x, x)","F",0
458,0,0,0,0.000000," ","integrate(cosh(b*x+a)^2*csch(b*x+a)^3/x^2,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^2*csch(b*x + a)^3/x^2, x)","F",0
459,0,0,0,0.000000," ","integrate(x^m*cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""giac"")","\int x^{m} \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*cosh(b*x + a)^3*csch(b*x + a)^3, x)","F",0
460,0,0,0,0.000000," ","integrate(x^3*cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""giac"")","\int x^{3} \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^3*cosh(b*x + a)^3*csch(b*x + a)^3, x)","F",0
461,0,0,0,0.000000," ","integrate(x^2*cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""giac"")","\int x^{2} \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^2*cosh(b*x + a)^3*csch(b*x + a)^3, x)","F",0
462,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""giac"")","\int x \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)^3*csch(b*x + a)^3, x)","F",0
463,1,66,0,0.144760," ","integrate(cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, b x + 2 \, a + \frac{3 \, e^{\left(4 \, b x + 4 \, a\right)} - 2 \, e^{\left(2 \, b x + 2 \, a\right)} + 3}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}} - 2 \, \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{2 \, b}"," ",0,"-1/2*(2*b*x + 2*a + (3*e^(4*b*x + 4*a) - 2*e^(2*b*x + 2*a) + 3)/(e^(2*b*x + 2*a) - 1)^2 - 2*log(abs(e^(2*b*x + 2*a) - 1)))/b","B",0
464,0,0,0,0.000000," ","integrate(cosh(b*x+a)^3*csch(b*x+a)^3/x,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(cosh(b*x + a)^3*csch(b*x + a)^3/x, x)","F",0
465,0,0,0,0.000000," ","integrate(cosh(b*x+a)^3*csch(b*x+a)^3/x^2,x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^3*csch(b*x + a)^3/x^2, x)","F",0
466,0,0,0,0.000000," ","integrate(x^m*csch(b*x+a)*sech(b*x+a),x, algorithm=""giac"")","\int x^{m} \operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*csch(b*x + a)*sech(b*x + a), x)","F",0
467,0,0,0,0.000000," ","integrate(x^3*csch(b*x+a)*sech(b*x+a),x, algorithm=""giac"")","\int x^{3} \operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^3*csch(b*x + a)*sech(b*x + a), x)","F",0
468,0,0,0,0.000000," ","integrate(x^2*csch(b*x+a)*sech(b*x+a),x, algorithm=""giac"")","\int x^{2} \operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^2*csch(b*x + a)*sech(b*x + a), x)","F",0
469,0,0,0,0.000000," ","integrate(x*csch(b*x+a)*sech(b*x+a),x, algorithm=""giac"")","\int x \operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate(x*csch(b*x + a)*sech(b*x + a), x)","F",0
470,1,41,0,0.112940," ","integrate(csch(b*x+a)*sech(b*x+a),x, algorithm=""giac"")","-\frac{\log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right) - \log\left(e^{\left(b x + a\right)} + 1\right) - \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{b}"," ",0,"-(log(e^(2*b*x + 2*a) + 1) - log(e^(b*x + a) + 1) - log(abs(e^(b*x + a) - 1)))/b","B",0
471,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)/x,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(csch(b*x + a)*sech(b*x + a)/x, x)","F",0
472,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(csch(b*x + a)*sech(b*x + a)/x^2, x)","F",0
473,0,0,0,0.000000," ","integrate(x^m*csch(b*x+a)*sech(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} \operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*csch(b*x + a)*sech(b*x + a)^2, x)","F",0
474,-1,0,0,0.000000," ","integrate(x^3*csch(b*x+a)*sech(b*x+a)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
475,-1,0,0,0.000000," ","integrate(x^2*csch(b*x+a)*sech(b*x+a)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
476,0,0,0,0.000000," ","integrate(x*csch(b*x+a)*sech(b*x+a)^2,x, algorithm=""giac"")","\int x \operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x*csch(b*x + a)*sech(b*x + a)^2, x)","F",0
477,1,64,0,0.911940," ","integrate(csch(b*x+a)*sech(b*x+a)^2,x, algorithm=""giac"")","\frac{\frac{4}{e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}} - \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} + 2\right) + \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} - 2\right)}{2 \, b}"," ",0,"1/2*(4/(e^(b*x + a) + e^(-b*x - a)) - log(e^(b*x + a) + e^(-b*x - a) + 2) + log(e^(b*x + a) + e^(-b*x - a) - 2))/b","B",0
478,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(csch(b*x + a)*sech(b*x + a)^2/x, x)","F",0
479,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)^2/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(csch(b*x + a)*sech(b*x + a)^2/x^2, x)","F",0
480,0,0,0,0.000000," ","integrate(x^m*csch(b*x+a)*sech(b*x+a)^3,x, algorithm=""giac"")","\int x^{m} \operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*csch(b*x + a)*sech(b*x + a)^3, x)","F",0
481,0,0,0,0.000000," ","integrate(x^3*csch(b*x+a)*sech(b*x+a)^3,x, algorithm=""giac"")","\int x^{3} \operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^3*csch(b*x + a)*sech(b*x + a)^3, x)","F",0
482,0,0,0,0.000000," ","integrate(x^2*csch(b*x+a)*sech(b*x+a)^3,x, algorithm=""giac"")","\int x^{2} \operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^2*csch(b*x + a)*sech(b*x + a)^3, x)","F",0
483,0,0,0,0.000000," ","integrate(x*csch(b*x+a)*sech(b*x+a)^3,x, algorithm=""giac"")","\int x \operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x*csch(b*x + a)*sech(b*x + a)^3, x)","F",0
484,1,93,0,0.144210," ","integrate(csch(b*x+a)*sech(b*x+a)^3,x, algorithm=""giac"")","\frac{\frac{e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 6}{e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2} - \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2\right) + \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2\right)}{2 \, b}"," ",0,"1/2*((e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 6)/(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2) - log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2) + log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2))/b","B",0
485,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)^3/x,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(csch(b*x + a)*sech(b*x + a)^3/x, x)","F",0
486,0,0,0,0.000000," ","integrate(csch(b*x+a)*sech(b*x+a)^3/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right) \operatorname{sech}\left(b x + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(csch(b*x + a)*sech(b*x + a)^3/x^2, x)","F",0
487,0,0,0,0.000000," ","integrate(x^m*csch(b*x+a)^2*sech(b*x+a),x, algorithm=""giac"")","\int x^{m} \operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*csch(b*x + a)^2*sech(b*x + a), x)","F",0
488,0,0,0,0.000000," ","integrate(x^3*csch(b*x+a)^2*sech(b*x+a),x, algorithm=""giac"")","\int x^{3} \operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^3*csch(b*x + a)^2*sech(b*x + a), x)","F",0
489,-1,0,0,0.000000," ","integrate(x^2*csch(b*x+a)^2*sech(b*x+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
490,0,0,0,0.000000," ","integrate(x*csch(b*x+a)^2*sech(b*x+a),x, algorithm=""giac"")","\int x \operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate(x*csch(b*x + a)^2*sech(b*x + a), x)","F",0
491,1,54,0,0.169780," ","integrate(csch(b*x+a)^2*sech(b*x+a),x, algorithm=""giac"")","-\frac{\pi + \frac{4}{e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}} + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right)}{2 \, b}"," ",0,"-1/2*(pi + 4/(e^(b*x + a) - e^(-b*x - a)) + 2*arctan(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)))/b","B",0
492,0,0,0,0.000000," ","integrate(csch(b*x+a)^2*sech(b*x+a)/x,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(csch(b*x + a)^2*sech(b*x + a)/x, x)","F",0
493,-2,0,0,0.000000," ","integrate(csch(b*x+a)^2*sech(b*x+a)/x^2,x, algorithm=""giac"")","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError >> type","F(-2)",0
494,0,0,0,0.000000," ","integrate(x^m*csch(b*x+a)^2*sech(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} \operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*csch(b*x + a)^2*sech(b*x + a)^2, x)","F",0
495,0,0,0,0.000000," ","integrate(x^3*csch(b*x+a)^2*sech(b*x+a)^2,x, algorithm=""giac"")","\int x^{3} \operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^3*csch(b*x + a)^2*sech(b*x + a)^2, x)","F",0
496,0,0,0,0.000000," ","integrate(x^2*csch(b*x+a)^2*sech(b*x+a)^2,x, algorithm=""giac"")","\int x^{2} \operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^2*csch(b*x + a)^2*sech(b*x + a)^2, x)","F",0
497,1,72,0,0.139578," ","integrate(x*csch(b*x+a)^2*sech(b*x+a)^2,x, algorithm=""giac"")","-\frac{4 \, b x e^{\left(4 \, b x + 4 \, a\right)} - e^{\left(4 \, b x + 4 \, a\right)} \log\left(e^{\left(4 \, b x + 4 \, a\right)} - 1\right) + \log\left(e^{\left(4 \, b x + 4 \, a\right)} - 1\right)}{b^{2} e^{\left(4 \, b x + 4 \, a\right)} - b^{2}}"," ",0,"-(4*b*x*e^(4*b*x + 4*a) - e^(4*b*x + 4*a)*log(e^(4*b*x + 4*a) - 1) + log(e^(4*b*x + 4*a) - 1))/(b^2*e^(4*b*x + 4*a) - b^2)","B",0
498,1,18,0,0.141058," ","integrate(csch(b*x+a)^2*sech(b*x+a)^2,x, algorithm=""giac"")","-\frac{4}{b {\left(e^{\left(4 \, b x + 4 \, a\right)} - 1\right)}}"," ",0,"-4/(b*(e^(4*b*x + 4*a) - 1))","A",0
499,0,0,0,0.000000," ","integrate(csch(b*x+a)^2*sech(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(csch(b*x + a)^2*sech(b*x + a)^2/x, x)","F",0
500,0,0,0,0.000000," ","integrate(csch(b*x+a)^2*sech(b*x+a)^2/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(csch(b*x + a)^2*sech(b*x + a)^2/x^2, x)","F",0
501,0,0,0,0.000000," ","integrate(x^m*csch(b*x+a)^2*sech(b*x+a)^3,x, algorithm=""giac"")","\int x^{m} \operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*csch(b*x + a)^2*sech(b*x + a)^3, x)","F",0
502,0,0,0,0.000000," ","integrate(x^2*csch(b*x+a)^2*sech(b*x+a)^3,x, algorithm=""giac"")","\int x^{2} \operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^2*csch(b*x + a)^2*sech(b*x + a)^3, x)","F",0
503,0,0,0,0.000000," ","integrate(x*csch(b*x+a)^2*sech(b*x+a)^3,x, algorithm=""giac"")","\int x \operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x*csch(b*x + a)^2*sech(b*x + a)^3, x)","F",0
504,1,102,0,0.151688," ","integrate(csch(b*x+a)^2*sech(b*x+a)^3,x, algorithm=""giac"")","-\frac{3 \, \pi + \frac{4 \, {\left(3 \, {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{2} + 8\right)}}{{\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{3} + 4 \, e^{\left(b x + a\right)} - 4 \, e^{\left(-b x - a\right)}} + 6 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right)}{4 \, b}"," ",0,"-1/4*(3*pi + 4*(3*(e^(b*x + a) - e^(-b*x - a))^2 + 8)/((e^(b*x + a) - e^(-b*x - a))^3 + 4*e^(b*x + a) - 4*e^(-b*x - a)) + 6*arctan(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)))/b","B",0
505,0,0,0,0.000000," ","integrate(csch(b*x+a)^2*sech(b*x+a)^3/x,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(csch(b*x + a)^2*sech(b*x + a)^3/x, x)","F",0
506,0,0,0,0.000000," ","integrate(csch(b*x+a)^2*sech(b*x+a)^3/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right)^{2} \operatorname{sech}\left(b x + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(csch(b*x + a)^2*sech(b*x + a)^3/x^2, x)","F",0
507,0,0,0,0.000000," ","integrate(x^m*csch(b*x+a)^3*sech(b*x+a),x, algorithm=""giac"")","\int x^{m} \operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^m*csch(b*x + a)^3*sech(b*x + a), x)","F",0
508,0,0,0,0.000000," ","integrate(x^3*csch(b*x+a)^3*sech(b*x+a),x, algorithm=""giac"")","\int x^{3} \operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^3*csch(b*x + a)^3*sech(b*x + a), x)","F",0
509,0,0,0,0.000000," ","integrate(x^2*csch(b*x+a)^3*sech(b*x+a),x, algorithm=""giac"")","\int x^{2} \operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^2*csch(b*x + a)^3*sech(b*x + a), x)","F",0
510,0,0,0,0.000000," ","integrate(x*csch(b*x+a)^3*sech(b*x+a),x, algorithm=""giac"")","\int x \operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)\,{d x}"," ",0,"integrate(x*csch(b*x + a)^3*sech(b*x + a), x)","F",0
511,1,93,0,0.148597," ","integrate(csch(b*x+a)^3*sech(b*x+a),x, algorithm=""giac"")","\frac{\frac{e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 6}{e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2} + \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2\right) - \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2\right)}{2 \, b}"," ",0,"1/2*((e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 6)/(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2) + log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2) - log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2))/b","B",0
512,0,0,0,0.000000," ","integrate(csch(b*x+a)^3*sech(b*x+a)/x,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(csch(b*x + a)^3*sech(b*x + a)/x, x)","F",0
513,0,0,0,0.000000," ","integrate(csch(b*x+a)^3*sech(b*x+a)/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(csch(b*x + a)^3*sech(b*x + a)/x^2, x)","F",0
514,0,0,0,0.000000," ","integrate(x^m*csch(b*x+a)^3*sech(b*x+a)^2,x, algorithm=""giac"")","\int x^{m} \operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^m*csch(b*x + a)^3*sech(b*x + a)^2, x)","F",0
515,0,0,0,0.000000," ","integrate(x^3*csch(b*x+a)^3*sech(b*x+a)^2,x, algorithm=""giac"")","\int x^{3} \operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^3*csch(b*x + a)^3*sech(b*x + a)^2, x)","F",0
516,-2,0,0,0.000000," ","integrate(x^2*csch(b*x+a)^3*sech(b*x+a)^2,x, algorithm=""giac"")","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError >> type","F(-2)",0
517,0,0,0,0.000000," ","integrate(x*csch(b*x+a)^3*sech(b*x+a)^2,x, algorithm=""giac"")","\int x \operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x*csch(b*x + a)^3*sech(b*x + a)^2, x)","F",0
518,1,110,0,0.136536," ","integrate(csch(b*x+a)^3*sech(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(3 \, {\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{2} - 8\right)}}{{\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)}\right)}^{3} - 4 \, e^{\left(b x + a\right)} - 4 \, e^{\left(-b x - a\right)}} - 3 \, \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} + 2\right) + 3 \, \log\left(e^{\left(b x + a\right)} + e^{\left(-b x - a\right)} - 2\right)}{4 \, b}"," ",0,"-1/4*(4*(3*(e^(b*x + a) + e^(-b*x - a))^2 - 8)/((e^(b*x + a) + e^(-b*x - a))^3 - 4*e^(b*x + a) - 4*e^(-b*x - a)) - 3*log(e^(b*x + a) + e^(-b*x - a) + 2) + 3*log(e^(b*x + a) + e^(-b*x - a) - 2))/b","B",0
519,0,0,0,0.000000," ","integrate(csch(b*x+a)^3*sech(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(csch(b*x + a)^3*sech(b*x + a)^2/x, x)","F",0
520,0,0,0,0.000000," ","integrate(csch(b*x+a)^3*sech(b*x+a)^2/x^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
521,0,0,0,0.000000," ","integrate(x^m*csch(b*x+a)^3*sech(b*x+a)^3,x, algorithm=""giac"")","\int x^{m} \operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^m*csch(b*x + a)^3*sech(b*x + a)^3, x)","F",0
522,0,0,0,0.000000," ","integrate(x^3*csch(b*x+a)^3*sech(b*x+a)^3,x, algorithm=""giac"")","\int x^{3} \operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^3*csch(b*x + a)^3*sech(b*x + a)^3, x)","F",0
523,0,0,0,0.000000," ","integrate(x^2*csch(b*x+a)^3*sech(b*x+a)^3,x, algorithm=""giac"")","\int x^{2} \operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x^2*csch(b*x + a)^3*sech(b*x + a)^3, x)","F",0
524,0,0,0,0.000000," ","integrate(x*csch(b*x+a)^3*sech(b*x+a)^3,x, algorithm=""giac"")","\int x \operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x*csch(b*x + a)^3*sech(b*x + a)^3, x)","F",0
525,1,96,0,0.157607," ","integrate(csch(b*x+a)^3*sech(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)}\right)}^{2} - 4} - \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} + 2\right) + \log\left(e^{\left(2 \, b x + 2 \, a\right)} + e^{\left(-2 \, b x - 2 \, a\right)} - 2\right)}{b}"," ",0,"-(4*(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a))/((e^(2*b*x + 2*a) + e^(-2*b*x - 2*a))^2 - 4) - log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) + 2) + log(e^(2*b*x + 2*a) + e^(-2*b*x - 2*a) - 2))/b","B",0
526,0,0,0,0.000000," ","integrate(csch(b*x+a)^3*sech(b*x+a)^3/x,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(csch(b*x + a)^3*sech(b*x + a)^3/x, x)","F",0
527,0,0,0,0.000000," ","integrate(csch(b*x+a)^3*sech(b*x+a)^3/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{csch}\left(b x + a\right)^{3} \operatorname{sech}\left(b x + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(csch(b*x + a)^3*sech(b*x + a)^3/x^2, x)","F",0
528,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)^(5/2)*sinh(b*x+a),x, algorithm=""giac"")","\int x \cosh\left(b x + a\right)^{\frac{5}{2}} \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x*cosh(b*x + a)^(5/2)*sinh(b*x + a), x)","F",0
529,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)^(3/2)*sinh(b*x+a),x, algorithm=""giac"")","\int x \cosh\left(b x + a\right)^{\frac{3}{2}} \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x*cosh(b*x + a)^(3/2)*sinh(b*x + a), x)","F",0
530,0,0,0,0.000000," ","integrate(x*sinh(b*x+a)*cosh(b*x+a)^(1/2),x, algorithm=""giac"")","\int x \sqrt{\cosh\left(b x + a\right)} \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x*sqrt(cosh(b*x + a))*sinh(b*x + a), x)","F",0
531,0,0,0,0.000000," ","integrate(x*sinh(b*x+a)/cosh(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x \sinh\left(b x + a\right)}{\sqrt{\cosh\left(b x + a\right)}}\,{d x}"," ",0,"integrate(x*sinh(b*x + a)/sqrt(cosh(b*x + a)), x)","F",0
532,0,0,0,0.000000," ","integrate(x*sinh(b*x+a)/cosh(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{x \sinh\left(b x + a\right)}{\cosh\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x*sinh(b*x + a)/cosh(b*x + a)^(3/2), x)","F",0
533,0,0,0,0.000000," ","integrate(x*sinh(b*x+a)/cosh(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{x \sinh\left(b x + a\right)}{\cosh\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x*sinh(b*x + a)/cosh(b*x + a)^(5/2), x)","F",0
534,0,0,0,0.000000," ","integrate(x*sinh(b*x+a)/cosh(b*x+a)^(7/2),x, algorithm=""giac"")","\int \frac{x \sinh\left(b x + a\right)}{\cosh\left(b x + a\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(x*sinh(b*x + a)/cosh(b*x + a)^(7/2), x)","F",0
535,0,0,0,0.000000," ","integrate(x*sinh(b*x+a)/cosh(b*x+a)^(9/2),x, algorithm=""giac"")","\int \frac{x \sinh\left(b x + a\right)}{\cosh\left(b x + a\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(x*sinh(b*x + a)/cosh(b*x + a)^(9/2), x)","F",0
536,0,0,0,0.000000," ","integrate(x*sech(b*x+a)^(9/2)*sinh(b*x+a),x, algorithm=""giac"")","\int x \operatorname{sech}\left(b x + a\right)^{\frac{9}{2}} \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x*sech(b*x + a)^(9/2)*sinh(b*x + a), x)","F",0
537,0,0,0,0.000000," ","integrate(x*sech(b*x+a)^(7/2)*sinh(b*x+a),x, algorithm=""giac"")","\int x \operatorname{sech}\left(b x + a\right)^{\frac{7}{2}} \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x*sech(b*x + a)^(7/2)*sinh(b*x + a), x)","F",0
538,0,0,0,0.000000," ","integrate(x*sech(b*x+a)^(5/2)*sinh(b*x+a),x, algorithm=""giac"")","\int x \operatorname{sech}\left(b x + a\right)^{\frac{5}{2}} \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x*sech(b*x + a)^(5/2)*sinh(b*x + a), x)","F",0
539,0,0,0,0.000000," ","integrate(x*sech(b*x+a)^(3/2)*sinh(b*x+a),x, algorithm=""giac"")","\int x \operatorname{sech}\left(b x + a\right)^{\frac{3}{2}} \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x*sech(b*x + a)^(3/2)*sinh(b*x + a), x)","F",0
540,0,0,0,0.000000," ","integrate(x*sech(b*x+a)^(1/2)*sinh(b*x+a),x, algorithm=""giac"")","\int x \sqrt{\operatorname{sech}\left(b x + a\right)} \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(x*sqrt(sech(b*x + a))*sinh(b*x + a), x)","F",0
541,0,0,0,0.000000," ","integrate(x*sinh(b*x+a)/sech(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x \sinh\left(b x + a\right)}{\sqrt{\operatorname{sech}\left(b x + a\right)}}\,{d x}"," ",0,"integrate(x*sinh(b*x + a)/sqrt(sech(b*x + a)), x)","F",0
542,0,0,0,0.000000," ","integrate(x*sinh(b*x+a)/sech(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{x \sinh\left(b x + a\right)}{\operatorname{sech}\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x*sinh(b*x + a)/sech(b*x + a)^(3/2), x)","F",0
543,0,0,0,0.000000," ","integrate(x*sinh(b*x+a)/sech(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{x \sinh\left(b x + a\right)}{\operatorname{sech}\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x*sinh(b*x + a)/sech(b*x + a)^(5/2), x)","F",0
544,-2,0,0,0.000000," ","integrate(x*cosh(b*x+a)*sinh(b*x+a)^(5/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[1,1,0]%%%} / %%%{1,[0,0,2]%%%} Error: Bad Argument Value","F(-2)",0
545,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)*sinh(b*x+a)^(3/2),x, algorithm=""giac"")","\int x \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)*sinh(b*x + a)^(3/2), x)","F",0
546,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)*sinh(b*x+a)^(1/2),x, algorithm=""giac"")","\int x \cosh\left(b x + a\right) \sqrt{\sinh\left(b x + a\right)}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)*sqrt(sinh(b*x + a)), x)","F",0
547,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)/sinh(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x \cosh\left(b x + a\right)}{\sqrt{\sinh\left(b x + a\right)}}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)/sqrt(sinh(b*x + a)), x)","F",0
548,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)/sinh(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{x \cosh\left(b x + a\right)}{\sinh\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)/sinh(b*x + a)^(3/2), x)","F",0
549,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)/sinh(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{x \cosh\left(b x + a\right)}{\sinh\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)/sinh(b*x + a)^(5/2), x)","F",0
550,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)/sinh(b*x+a)^(7/2),x, algorithm=""giac"")","\int \frac{x \cosh\left(b x + a\right)}{\sinh\left(b x + a\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)/sinh(b*x + a)^(7/2), x)","F",0
551,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)/sinh(b*x+a)^(9/2),x, algorithm=""giac"")","\int \frac{x \cosh\left(b x + a\right)}{\sinh\left(b x + a\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)/sinh(b*x + a)^(9/2), x)","F",0
552,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)^(9/2),x, algorithm=""giac"")","\int x \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{\frac{9}{2}}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)*csch(b*x + a)^(9/2), x)","F",0
553,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)^(7/2),x, algorithm=""giac"")","\int x \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)*csch(b*x + a)^(7/2), x)","F",0
554,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)^(5/2),x, algorithm=""giac"")","\int x \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)*csch(b*x + a)^(5/2), x)","F",0
555,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)^(3/2),x, algorithm=""giac"")","\int x \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)*csch(b*x + a)^(3/2), x)","F",0
556,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)*csch(b*x+a)^(1/2),x, algorithm=""giac"")","\int x \cosh\left(b x + a\right) \sqrt{\operatorname{csch}\left(b x + a\right)}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)*sqrt(csch(b*x + a)), x)","F",0
557,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)/csch(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{x \cosh\left(b x + a\right)}{\sqrt{\operatorname{csch}\left(b x + a\right)}}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)/sqrt(csch(b*x + a)), x)","F",0
558,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)/csch(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{x \cosh\left(b x + a\right)}{\operatorname{csch}\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)/csch(b*x + a)^(3/2), x)","F",0
559,0,0,0,0.000000," ","integrate(x*cosh(b*x+a)/csch(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{x \cosh\left(b x + a\right)}{\operatorname{csch}\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x*cosh(b*x + a)/csch(b*x + a)^(5/2), x)","F",0
560,0,0,0,0.000000," ","integrate((sinh(x)*tanh(x))^(1/2),x, algorithm=""giac"")","\int \sqrt{\sinh\left(x\right) \tanh\left(x\right)}\,{d x}"," ",0,"integrate(sqrt(sinh(x)*tanh(x)), x)","F",0
561,0,0,0,0.000000," ","integrate((sinh(x)*tanh(x))^(3/2),x, algorithm=""giac"")","\int \left(\sinh\left(x\right) \tanh\left(x\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((sinh(x)*tanh(x))^(3/2), x)","F",0
562,0,0,0,0.000000," ","integrate((sinh(x)*tanh(x))^(5/2),x, algorithm=""giac"")","\int \left(\sinh\left(x\right) \tanh\left(x\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((sinh(x)*tanh(x))^(5/2), x)","F",0
563,0,0,0,0.000000," ","integrate((cosh(x)*coth(x))^(1/2),x, algorithm=""giac"")","\int \sqrt{\cosh\left(x\right) \coth\left(x\right)}\,{d x}"," ",0,"integrate(sqrt(cosh(x)*coth(x)), x)","F",0
564,0,0,0,0.000000," ","integrate((cosh(x)*coth(x))^(3/2),x, algorithm=""giac"")","\int \left(\cosh\left(x\right) \coth\left(x\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((cosh(x)*coth(x))^(3/2), x)","F",0
565,0,0,0,0.000000," ","integrate((cosh(x)*coth(x))^(5/2),x, algorithm=""giac"")","\int \left(\cosh\left(x\right) \coth\left(x\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((cosh(x)*coth(x))^(5/2), x)","F",0
566,1,87,0,0.135286," ","integrate((b+c+cosh(x))/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{{\left(b + c\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}}} - \frac{x}{b} + \frac{\log\left({\left| b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b \right|}\right)}{b}"," ",0,"(b + c)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/sqrt(a^2 + b^2) - x/b + log(abs(b*e^(2*x) + 2*a*e^x - b))/b","A",0
567,1,88,0,0.170980," ","integrate((b+c+cosh(x))/(a-b*sinh(x)),x, algorithm=""giac"")","-\frac{{\left(b + c\right)} \log\left(\frac{{\left| 2 \, b e^{x} - 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} - 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}}} + \frac{x}{b} - \frac{\log\left({\left| b e^{\left(2 \, x\right)} - 2 \, a e^{x} - b \right|}\right)}{b}"," ",0,"-(b + c)*log(abs(2*b*e^x - 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x - 2*a + 2*sqrt(a^2 + b^2)))/sqrt(a^2 + b^2) + x/b - log(abs(b*e^(2*x) - 2*a*e^x - b))/b","A",0
568,1,60,0,0.120375," ","integrate((b+c+sinh(x))/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{2 \, {\left(b + c\right)} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}}} - \frac{x}{b} + \frac{\log\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} + b\right)}{b}"," ",0,"2*(b + c)*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/sqrt(-a^2 + b^2) - x/b + log(b*e^(2*x) + 2*a*e^x + b)/b","A",0
569,1,62,0,0.116225," ","integrate((b+c+sinh(x))/(a-b*cosh(x)),x, algorithm=""giac"")","-\frac{2 \, {\left(b + c\right)} \arctan\left(\frac{b e^{x} - a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}}} + \frac{x}{b} - \frac{\log\left(b e^{\left(2 \, x\right)} - 2 \, a e^{x} + b\right)}{b}"," ",0,"-2*(b + c)*arctan((b*e^x - a)/sqrt(-a^2 + b^2))/sqrt(-a^2 + b^2) + x/b - log(b*e^(2*x) - 2*a*e^x + b)/b","A",0
570,1,96,0,0.156332," ","integrate(x*(b-a*sinh(x))/(a+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{2 \, b x e^{\left(2 \, x\right)} - b e^{\left(2 \, x\right)} \log\left(-b e^{\left(2 \, x\right)} - 2 \, a e^{x} + b\right) - 2 \, a e^{x} \log\left(-b e^{\left(2 \, x\right)} - 2 \, a e^{x} + b\right) + 2 \, b x + b \log\left(-b e^{\left(2 \, x\right)} - 2 \, a e^{x} + b\right)}{b^{2} e^{\left(2 \, x\right)} + 2 \, a b e^{x} - b^{2}}"," ",0,"-(2*b*x*e^(2*x) - b*e^(2*x)*log(-b*e^(2*x) - 2*a*e^x + b) - 2*a*e^x*log(-b*e^(2*x) - 2*a*e^x + b) + 2*b*x + b*log(-b*e^(2*x) - 2*a*e^x + b))/(b^2*e^(2*x) + 2*a*b*e^x - b^2)","B",0
571,1,100,0,0.135971," ","integrate(x*(b+a*cosh(x))/(a+b*cosh(x))^2,x, algorithm=""giac"")","\frac{2 \, b x e^{\left(2 \, x\right)} - b e^{\left(2 \, x\right)} \log\left(-b e^{\left(2 \, x\right)} - 2 \, a e^{x} - b\right) - 2 \, a e^{x} \log\left(-b e^{\left(2 \, x\right)} - 2 \, a e^{x} - b\right) - 2 \, b x - b \log\left(-b e^{\left(2 \, x\right)} - 2 \, a e^{x} - b\right)}{b^{2} e^{\left(2 \, x\right)} + 2 \, a b e^{x} + b^{2}}"," ",0,"(2*b*x*e^(2*x) - b*e^(2*x)*log(-b*e^(2*x) - 2*a*e^x - b) - 2*a*e^x*log(-b*e^(2*x) - 2*a*e^x - b) - 2*b*x - b*log(-b*e^(2*x) - 2*a*e^x - b))/(b^2*e^(2*x) + 2*a*b*e^x + b^2)","B",0
572,1,53,0,0.139041," ","integrate((a+b*sech(x))/(c+d*cosh(x)),x, algorithm=""giac"")","\frac{2 \, b \arctan\left(e^{x}\right)}{c} + \frac{2 \, {\left(a c - b d\right)} \arctan\left(\frac{d e^{x} + c}{\sqrt{-c^{2} + d^{2}}}\right)}{\sqrt{-c^{2} + d^{2}} c}"," ",0,"2*b*arctan(e^x)/c + 2*(a*c - b*d)*arctan((d*e^x + c)/sqrt(-c^2 + d^2))/(sqrt(-c^2 + d^2)*c)","A",0
573,1,90,0,0.155679," ","integrate((a+b*csch(x))/(c+d*sinh(x)),x, algorithm=""giac"")","-\frac{b \log\left(e^{x} + 1\right)}{c} + \frac{b \log\left({\left| e^{x} - 1 \right|}\right)}{c} + \frac{{\left(a c - b d\right)} \log\left(\frac{{\left| 2 \, d e^{x} + 2 \, c - 2 \, \sqrt{c^{2} + d^{2}} \right|}}{{\left| 2 \, d e^{x} + 2 \, c + 2 \, \sqrt{c^{2} + d^{2}} \right|}}\right)}{\sqrt{c^{2} + d^{2}} c}"," ",0,"-b*log(e^x + 1)/c + b*log(abs(e^x - 1))/c + (a*c - b*d)*log(abs(2*d*e^x + 2*c - 2*sqrt(c^2 + d^2))/abs(2*d*e^x + 2*c + 2*sqrt(c^2 + d^2)))/(sqrt(c^2 + d^2)*c)","A",0
574,1,41,0,0.142803," ","integrate((1+sinh(x)^2)/(1-sinh(x)^2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{2} \log\left(\frac{{\left| -4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}{{\left| 4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}\right) - x"," ",0,"-1/2*sqrt(2)*log(abs(-4*sqrt(2) + 2*e^(2*x) - 6)/abs(4*sqrt(2) + 2*e^(2*x) - 6)) - x","B",0
575,1,14,0,0.134860," ","integrate((1-sinh(x)^2)/(1+sinh(x)^2),x, algorithm=""giac"")","-x - \frac{4}{e^{\left(2 \, x\right)} + 1}"," ",0,"-x - 4/(e^(2*x) + 1)","A",0
576,1,14,0,0.111631," ","integrate((1+cosh(x)^2)/(1-cosh(x)^2),x, algorithm=""giac"")","-x + \frac{4}{e^{\left(2 \, x\right)} - 1}"," ",0,"-x + 4/(e^(2*x) - 1)","A",0
577,1,38,0,0.135910," ","integrate((1-cosh(x)^2)/(1+cosh(x)^2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{2} \log\left(-\frac{2 \, \sqrt{2} - e^{\left(2 \, x\right)} - 3}{2 \, \sqrt{2} + e^{\left(2 \, x\right)} + 3}\right) - x"," ",0,"1/2*sqrt(2)*log(-(2*sqrt(2) - e^(2*x) - 3)/(2*sqrt(2) + e^(2*x) + 3)) - x","B",0
578,1,71,0,0.137977," ","integrate((a+b*sech(x)^2)/(c+d*cosh(x)),x, algorithm=""giac"")","-\frac{2 \, b d \arctan\left(e^{x}\right)}{c^{2}} + \frac{2 \, {\left(a c^{2} + b d^{2}\right)} \arctan\left(\frac{d e^{x} + c}{\sqrt{-c^{2} + d^{2}}}\right)}{\sqrt{-c^{2} + d^{2}} c^{2}} - \frac{2 \, b}{c {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"-2*b*d*arctan(e^x)/c^2 + 2*(a*c^2 + b*d^2)*arctan((d*e^x + c)/sqrt(-c^2 + d^2))/(sqrt(-c^2 + d^2)*c^2) - 2*b/(c*(e^(2*x) + 1))","A",0
579,1,109,0,0.158942," ","integrate((a+b*csch(x)^2)/(c+d*sinh(x)),x, algorithm=""giac"")","\frac{b d \log\left(e^{x} + 1\right)}{c^{2}} - \frac{b d \log\left({\left| e^{x} - 1 \right|}\right)}{c^{2}} + \frac{{\left(a c^{2} + b d^{2}\right)} \log\left(\frac{{\left| 2 \, d e^{x} + 2 \, c - 2 \, \sqrt{c^{2} + d^{2}} \right|}}{{\left| 2 \, d e^{x} + 2 \, c + 2 \, \sqrt{c^{2} + d^{2}} \right|}}\right)}{\sqrt{c^{2} + d^{2}} c^{2}} - \frac{2 \, b}{c {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"b*d*log(e^x + 1)/c^2 - b*d*log(abs(e^x - 1))/c^2 + (a*c^2 + b*d^2)*log(abs(2*d*e^x + 2*c - 2*sqrt(c^2 + d^2))/abs(2*d*e^x + 2*c + 2*sqrt(c^2 + d^2)))/(sqrt(c^2 + d^2)*c^2) - 2*b/(c*(e^(2*x) - 1))","A",0
580,1,23,0,0.128986," ","integrate(a*cosh(x)+b*sinh(x),x, algorithm=""giac"")","\frac{1}{2} \, b {\left(e^{\left(-x\right)} + e^{x}\right)} - \frac{1}{2} \, a {\left(e^{\left(-x\right)} - e^{x}\right)}"," ",0,"1/2*b*(e^(-x) + e^x) - 1/2*a*(e^(-x) - e^x)","B",0
581,1,74,0,0.130880," ","integrate((a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","\frac{1}{8} \, a^{2} e^{\left(2 \, x\right)} + \frac{1}{4} \, a b e^{\left(2 \, x\right)} + \frac{1}{8} \, b^{2} e^{\left(2 \, x\right)} + \frac{1}{2} \, {\left(a^{2} - b^{2}\right)} x - \frac{1}{8} \, {\left(2 \, a^{2} e^{\left(2 \, x\right)} - 2 \, b^{2} e^{\left(2 \, x\right)} + a^{2} - 2 \, a b + b^{2}\right)} e^{\left(-2 \, x\right)}"," ",0,"1/8*a^2*e^(2*x) + 1/4*a*b*e^(2*x) + 1/8*b^2*e^(2*x) + 1/2*(a^2 - b^2)*x - 1/8*(2*a^2*e^(2*x) - 2*b^2*e^(2*x) + a^2 - 2*a*b + b^2)*e^(-2*x)","B",0
582,1,134,0,0.136872," ","integrate((a*cosh(x)+b*sinh(x))^3,x, algorithm=""giac"")","\frac{1}{24} \, a^{3} e^{\left(3 \, x\right)} + \frac{1}{8} \, a^{2} b e^{\left(3 \, x\right)} + \frac{1}{8} \, a b^{2} e^{\left(3 \, x\right)} + \frac{1}{24} \, b^{3} e^{\left(3 \, x\right)} + \frac{3}{8} \, a^{3} e^{x} + \frac{3}{8} \, a^{2} b e^{x} - \frac{3}{8} \, a b^{2} e^{x} - \frac{3}{8} \, b^{3} e^{x} - \frac{1}{24} \, {\left(9 \, a^{3} e^{\left(2 \, x\right)} - 9 \, a^{2} b e^{\left(2 \, x\right)} - 9 \, a b^{2} e^{\left(2 \, x\right)} + 9 \, b^{3} e^{\left(2 \, x\right)} + a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)} e^{\left(-3 \, x\right)}"," ",0,"1/24*a^3*e^(3*x) + 1/8*a^2*b*e^(3*x) + 1/8*a*b^2*e^(3*x) + 1/24*b^3*e^(3*x) + 3/8*a^3*e^x + 3/8*a^2*b*e^x - 3/8*a*b^2*e^x - 3/8*b^3*e^x - 1/24*(9*a^3*e^(2*x) - 9*a^2*b*e^(2*x) - 9*a*b^2*e^(2*x) + 9*b^3*e^(2*x) + a^3 - 3*a^2*b + 3*a*b^2 - b^3)*e^(-3*x)","B",0
583,1,208,0,0.120273," ","integrate((a*cosh(x)+b*sinh(x))^4,x, algorithm=""giac"")","\frac{1}{64} \, a^{4} e^{\left(4 \, x\right)} + \frac{1}{16} \, a^{3} b e^{\left(4 \, x\right)} + \frac{3}{32} \, a^{2} b^{2} e^{\left(4 \, x\right)} + \frac{1}{16} \, a b^{3} e^{\left(4 \, x\right)} + \frac{1}{64} \, b^{4} e^{\left(4 \, x\right)} + \frac{1}{8} \, a^{4} e^{\left(2 \, x\right)} + \frac{1}{4} \, a^{3} b e^{\left(2 \, x\right)} - \frac{1}{4} \, a b^{3} e^{\left(2 \, x\right)} - \frac{1}{8} \, b^{4} e^{\left(2 \, x\right)} + \frac{3}{8} \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} x - \frac{1}{64} \, {\left(18 \, a^{4} e^{\left(4 \, x\right)} - 36 \, a^{2} b^{2} e^{\left(4 \, x\right)} + 18 \, b^{4} e^{\left(4 \, x\right)} + 8 \, a^{4} e^{\left(2 \, x\right)} - 16 \, a^{3} b e^{\left(2 \, x\right)} + 16 \, a b^{3} e^{\left(2 \, x\right)} - 8 \, b^{4} e^{\left(2 \, x\right)} + a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)} e^{\left(-4 \, x\right)}"," ",0,"1/64*a^4*e^(4*x) + 1/16*a^3*b*e^(4*x) + 3/32*a^2*b^2*e^(4*x) + 1/16*a*b^3*e^(4*x) + 1/64*b^4*e^(4*x) + 1/8*a^4*e^(2*x) + 1/4*a^3*b*e^(2*x) - 1/4*a*b^3*e^(2*x) - 1/8*b^4*e^(2*x) + 3/8*(a^4 - 2*a^2*b^2 + b^4)*x - 1/64*(18*a^4*e^(4*x) - 36*a^2*b^2*e^(4*x) + 18*b^4*e^(4*x) + 8*a^4*e^(2*x) - 16*a^3*b*e^(2*x) + 16*a*b^3*e^(2*x) - 8*b^4*e^(2*x) + a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4)*e^(-4*x)","B",0
584,1,344,0,0.136797," ","integrate((a*cosh(x)+b*sinh(x))^5,x, algorithm=""giac"")","\frac{1}{160} \, a^{5} e^{\left(5 \, x\right)} + \frac{1}{32} \, a^{4} b e^{\left(5 \, x\right)} + \frac{1}{16} \, a^{3} b^{2} e^{\left(5 \, x\right)} + \frac{1}{16} \, a^{2} b^{3} e^{\left(5 \, x\right)} + \frac{1}{32} \, a b^{4} e^{\left(5 \, x\right)} + \frac{1}{160} \, b^{5} e^{\left(5 \, x\right)} + \frac{5}{96} \, a^{5} e^{\left(3 \, x\right)} + \frac{5}{32} \, a^{4} b e^{\left(3 \, x\right)} + \frac{5}{48} \, a^{3} b^{2} e^{\left(3 \, x\right)} - \frac{5}{48} \, a^{2} b^{3} e^{\left(3 \, x\right)} - \frac{5}{32} \, a b^{4} e^{\left(3 \, x\right)} - \frac{5}{96} \, b^{5} e^{\left(3 \, x\right)} + \frac{5}{16} \, a^{5} e^{x} + \frac{5}{16} \, a^{4} b e^{x} - \frac{5}{8} \, a^{3} b^{2} e^{x} - \frac{5}{8} \, a^{2} b^{3} e^{x} + \frac{5}{16} \, a b^{4} e^{x} + \frac{5}{16} \, b^{5} e^{x} - \frac{1}{480} \, {\left(150 \, a^{5} e^{\left(4 \, x\right)} - 150 \, a^{4} b e^{\left(4 \, x\right)} - 300 \, a^{3} b^{2} e^{\left(4 \, x\right)} + 300 \, a^{2} b^{3} e^{\left(4 \, x\right)} + 150 \, a b^{4} e^{\left(4 \, x\right)} - 150 \, b^{5} e^{\left(4 \, x\right)} + 25 \, a^{5} e^{\left(2 \, x\right)} - 75 \, a^{4} b e^{\left(2 \, x\right)} + 50 \, a^{3} b^{2} e^{\left(2 \, x\right)} + 50 \, a^{2} b^{3} e^{\left(2 \, x\right)} - 75 \, a b^{4} e^{\left(2 \, x\right)} + 25 \, b^{5} e^{\left(2 \, x\right)} + 3 \, a^{5} - 15 \, a^{4} b + 30 \, a^{3} b^{2} - 30 \, a^{2} b^{3} + 15 \, a b^{4} - 3 \, b^{5}\right)} e^{\left(-5 \, x\right)}"," ",0,"1/160*a^5*e^(5*x) + 1/32*a^4*b*e^(5*x) + 1/16*a^3*b^2*e^(5*x) + 1/16*a^2*b^3*e^(5*x) + 1/32*a*b^4*e^(5*x) + 1/160*b^5*e^(5*x) + 5/96*a^5*e^(3*x) + 5/32*a^4*b*e^(3*x) + 5/48*a^3*b^2*e^(3*x) - 5/48*a^2*b^3*e^(3*x) - 5/32*a*b^4*e^(3*x) - 5/96*b^5*e^(3*x) + 5/16*a^5*e^x + 5/16*a^4*b*e^x - 5/8*a^3*b^2*e^x - 5/8*a^2*b^3*e^x + 5/16*a*b^4*e^x + 5/16*b^5*e^x - 1/480*(150*a^5*e^(4*x) - 150*a^4*b*e^(4*x) - 300*a^3*b^2*e^(4*x) + 300*a^2*b^3*e^(4*x) + 150*a*b^4*e^(4*x) - 150*b^5*e^(4*x) + 25*a^5*e^(2*x) - 75*a^4*b*e^(2*x) + 50*a^3*b^2*e^(2*x) + 50*a^2*b^3*e^(2*x) - 75*a*b^4*e^(2*x) + 25*b^5*e^(2*x) + 3*a^5 - 15*a^4*b + 30*a^3*b^2 - 30*a^2*b^3 + 15*a*b^4 - 3*b^5)*e^(-5*x)","B",0
585,1,35,0,0.129821," ","integrate(1/(a*cosh(x)+b*sinh(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
586,1,26,0,0.117022," ","integrate(1/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{2}{{\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)} {\left(a + b\right)}}"," ",0,"-2/((a*e^(2*x) + b*e^(2*x) + a - b)*(a + b))","A",0
587,1,88,0,0.141523," ","integrate(1/(a*cosh(x)+b*sinh(x))^3,x, algorithm=""giac"")","\frac{\arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{2} - b^{2}\right)}^{\frac{3}{2}}} + \frac{a e^{\left(3 \, x\right)} + b e^{\left(3 \, x\right)} - a e^{x} + b e^{x}}{{\left(a^{2} - b^{2}\right)} {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)}^{2}}"," ",0,"arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/(a^2 - b^2)^(3/2) + (a*e^(3*x) + b*e^(3*x) - a*e^x + b*e^x)/((a^2 - b^2)*(a*e^(2*x) + b*e^(2*x) + a - b)^2)","A",0
588,1,53,0,0.142347," ","integrate(1/(a*cosh(x)+b*sinh(x))^4,x, algorithm=""giac"")","-\frac{4 \, {\left(3 \, a e^{\left(2 \, x\right)} + 3 \, b e^{\left(2 \, x\right)} + a - b\right)}}{3 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)}^{3}}"," ",0,"-4/3*(3*a*e^(2*x) + 3*b*e^(2*x) + a - b)/((a^2 + 2*a*b + b^2)*(a*e^(2*x) + b*e^(2*x) + a - b)^3)","A",0
589,1,236,0,0.161489," ","integrate(1/(a*cosh(x)+b*sinh(x))^5,x, algorithm=""giac"")","\frac{3 \, \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} - b^{2}}} + \frac{3 \, a^{3} e^{\left(7 \, x\right)} + 9 \, a^{2} b e^{\left(7 \, x\right)} + 9 \, a b^{2} e^{\left(7 \, x\right)} + 3 \, b^{3} e^{\left(7 \, x\right)} + 11 \, a^{3} e^{\left(5 \, x\right)} + 11 \, a^{2} b e^{\left(5 \, x\right)} - 11 \, a b^{2} e^{\left(5 \, x\right)} - 11 \, b^{3} e^{\left(5 \, x\right)} - 11 \, a^{3} e^{\left(3 \, x\right)} + 11 \, a^{2} b e^{\left(3 \, x\right)} + 11 \, a b^{2} e^{\left(3 \, x\right)} - 11 \, b^{3} e^{\left(3 \, x\right)} - 3 \, a^{3} e^{x} + 9 \, a^{2} b e^{x} - 9 \, a b^{2} e^{x} + 3 \, b^{3} e^{x}}{4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)}^{4}}"," ",0,"3/4*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)) + 1/4*(3*a^3*e^(7*x) + 9*a^2*b*e^(7*x) + 9*a*b^2*e^(7*x) + 3*b^3*e^(7*x) + 11*a^3*e^(5*x) + 11*a^2*b*e^(5*x) - 11*a*b^2*e^(5*x) - 11*b^3*e^(5*x) - 11*a^3*e^(3*x) + 11*a^2*b*e^(3*x) + 11*a*b^2*e^(3*x) - 11*b^3*e^(3*x) - 3*a^3*e^x + 9*a^2*b*e^x - 9*a*b^2*e^x + 3*b^3*e^x)/((a^4 - 2*a^2*b^2 + b^4)*(a*e^(2*x) + b*e^(2*x) + a - b)^4)","B",0
590,0,0,0,0.000000," ","integrate((a*cosh(x)+b*sinh(x))^(1/2),x, algorithm=""giac"")","\int \sqrt{a \cosh\left(x\right) + b \sinh\left(x\right)}\,{d x}"," ",0,"integrate(sqrt(a*cosh(x) + b*sinh(x)), x)","F",0
591,0,0,0,0.000000," ","integrate((a*cosh(x)+b*sinh(x))^(3/2),x, algorithm=""giac"")","\int {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a*cosh(x) + b*sinh(x))^(3/2), x)","F",0
592,0,0,0,0.000000," ","integrate((a*cosh(x)+b*sinh(x))^(5/2),x, algorithm=""giac"")","\int {\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((a*cosh(x) + b*sinh(x))^(5/2), x)","F",0
593,0,0,0,0.000000," ","integrate(1/(a*cosh(x)+b*sinh(x))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{a \cosh\left(x\right) + b \sinh\left(x\right)}}\,{d x}"," ",0,"integrate(1/sqrt(a*cosh(x) + b*sinh(x)), x)","F",0
594,0,0,0,0.000000," ","integrate(1/(a*cosh(x)+b*sinh(x))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*cosh(x) + b*sinh(x))^(-3/2), x)","F",0
595,0,0,0,0.000000," ","integrate(1/(a*cosh(x)+b*sinh(x))^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(a \cosh\left(x\right) + b \sinh\left(x\right)\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((a*cosh(x) + b*sinh(x))^(-5/2), x)","F",0
596,1,56,0,0.131713," ","integrate(a*cosh(d*x+c)+a*sinh(d*x+c),x, algorithm=""giac"")","\frac{1}{2} \, a {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{1}{2} \, a {\left(\frac{e^{\left(d x + c\right)}}{d} - \frac{e^{\left(-d x - c\right)}}{d}\right)}"," ",0,"1/2*a*(e^(d*x + c)/d + e^(-d*x - c)/d) + 1/2*a*(e^(d*x + c)/d - e^(-d*x - c)/d)","B",0
597,1,17,0,0.115970," ","integrate((a*cosh(d*x+c)+a*sinh(d*x+c))^2,x, algorithm=""giac"")","\frac{a^{2} e^{\left(2 \, d x + 2 \, c\right)}}{2 \, d}"," ",0,"1/2*a^2*e^(2*d*x + 2*c)/d","A",0
598,1,17,0,0.136586," ","integrate((a*cosh(d*x+c)+a*sinh(d*x+c))^3,x, algorithm=""giac"")","\frac{a^{3} e^{\left(3 \, d x + 3 \, c\right)}}{3 \, d}"," ",0,"1/3*a^3*e^(3*d*x + 3*c)/d","A",0
599,1,20,0,0.118716," ","integrate((a*cosh(d*x+c)+a*sinh(d*x+c))^n,x, algorithm=""giac"")","\frac{e^{\left(d n x + c n + n \log\left(a\right)\right)}}{d n}"," ",0,"e^(d*n*x + c*n + n*log(a))/(d*n)","A",0
600,1,17,0,0.127714," ","integrate(1/(a*cosh(d*x+c)+a*sinh(d*x+c)),x, algorithm=""giac"")","-\frac{e^{\left(-d x - c\right)}}{a d}"," ",0,"-e^(-d*x - c)/(a*d)","A",0
601,1,17,0,0.115030," ","integrate(1/(a*cosh(d*x+c)+a*sinh(d*x+c))^2,x, algorithm=""giac"")","-\frac{e^{\left(-2 \, d x - 2 \, c\right)}}{2 \, a^{2} d}"," ",0,"-1/2*e^(-2*d*x - 2*c)/(a^2*d)","A",0
602,1,17,0,0.133013," ","integrate(1/(a*cosh(d*x+c)+a*sinh(d*x+c))^3,x, algorithm=""giac"")","-\frac{e^{\left(-3 \, d x - 3 \, c\right)}}{3 \, a^{3} d}"," ",0,"-1/3*e^(-3*d*x - 3*c)/(a^3*d)","A",0
603,1,17,0,0.124949," ","integrate((a*cosh(d*x+c)+a*sinh(d*x+c))^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{a} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{d}"," ",0,"2*sqrt(a)*e^(1/2*d*x + 1/2*c)/d","A",0
604,1,17,0,0.131580," ","integrate(1/(a*cosh(d*x+c)+a*sinh(d*x+c))^(1/2),x, algorithm=""giac"")","-\frac{2 \, e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}}{\sqrt{a} d}"," ",0,"-2*e^(-1/2*d*x - 1/2*c)/(sqrt(a)*d)","A",0
605,1,56,0,0.108538," ","integrate(a*cosh(d*x+c)-a*sinh(d*x+c),x, algorithm=""giac"")","-\frac{1}{2} \, a {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)} + \frac{1}{2} \, a {\left(\frac{e^{\left(d x + c\right)}}{d} - \frac{e^{\left(-d x - c\right)}}{d}\right)}"," ",0,"-1/2*a*(e^(d*x + c)/d + e^(-d*x - c)/d) + 1/2*a*(e^(d*x + c)/d - e^(-d*x - c)/d)","B",0
606,1,17,0,0.137358," ","integrate((a*cosh(d*x+c)-a*sinh(d*x+c))^2,x, algorithm=""giac"")","-\frac{a^{2} e^{\left(-2 \, d x - 2 \, c\right)}}{2 \, d}"," ",0,"-1/2*a^2*e^(-2*d*x - 2*c)/d","A",0
607,1,17,0,0.111994," ","integrate((a*cosh(d*x+c)-a*sinh(d*x+c))^3,x, algorithm=""giac"")","-\frac{a^{3} e^{\left(-3 \, d x - 3 \, c\right)}}{3 \, d}"," ",0,"-1/3*a^3*e^(-3*d*x - 3*c)/d","A",0
608,1,23,0,0.140942," ","integrate((a*cosh(d*x+c)-a*sinh(d*x+c))^n,x, algorithm=""giac"")","-\frac{e^{\left(-d n x - c n + n \log\left(a\right)\right)}}{d n}"," ",0,"-e^(-d*n*x - c*n + n*log(a))/(d*n)","A",0
609,1,13,0,0.137103," ","integrate(1/(a*cosh(d*x+c)-a*sinh(d*x+c)),x, algorithm=""giac"")","\frac{e^{\left(d x + c\right)}}{a d}"," ",0,"e^(d*x + c)/(a*d)","A",0
610,1,17,0,0.116209," ","integrate(1/(a*cosh(d*x+c)-a*sinh(d*x+c))^2,x, algorithm=""giac"")","\frac{e^{\left(2 \, d x + 2 \, c\right)}}{2 \, a^{2} d}"," ",0,"1/2*e^(2*d*x + 2*c)/(a^2*d)","A",0
611,1,17,0,0.141721," ","integrate(1/(a*cosh(d*x+c)-a*sinh(d*x+c))^3,x, algorithm=""giac"")","\frac{e^{\left(3 \, d x + 3 \, c\right)}}{3 \, a^{3} d}"," ",0,"1/3*e^(3*d*x + 3*c)/(a^3*d)","A",0
612,1,17,0,0.136129," ","integrate((a*cosh(d*x+c)-a*sinh(d*x+c))^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{a} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}}{d}"," ",0,"-2*sqrt(a)*e^(-1/2*d*x - 1/2*c)/d","A",0
613,1,17,0,0.118011," ","integrate(1/(a*cosh(d*x+c)-a*sinh(d*x+c))^(1/2),x, algorithm=""giac"")","\frac{2 \, e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{\sqrt{a} d}"," ",0,"2*e^(1/2*d*x + 1/2*c)/(sqrt(a)*d)","A",0
614,1,240,0,0.140151," ","integrate((a*sech(x)+b*tanh(x))^5,x, algorithm=""giac"")","\frac{1}{2} \, b^{5} \log\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right) + \frac{1}{16} \, {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} - \frac{3 \, b^{5} {\left(e^{\left(-x\right)} - e^{x}\right)}^{4} + 3 \, a^{5} {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} + 10 \, a^{3} b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} - 25 \, a b^{4} {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} + 80 \, a^{2} b^{3} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 8 \, b^{5} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 20 \, a^{5} {\left(e^{\left(-x\right)} - e^{x}\right)} - 40 \, a^{3} b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)} - 60 \, a b^{4} {\left(e^{\left(-x\right)} - e^{x}\right)} + 80 \, a^{4} b + 160 \, a^{2} b^{3}}{4 \, {\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}^{2}}"," ",0,"1/2*b^5*log((e^(-x) - e^x)^2 + 4) + 1/16*(pi + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))*(3*a^5 + 10*a^3*b^2 + 15*a*b^4) - 1/4*(3*b^5*(e^(-x) - e^x)^4 + 3*a^5*(e^(-x) - e^x)^3 + 10*a^3*b^2*(e^(-x) - e^x)^3 - 25*a*b^4*(e^(-x) - e^x)^3 + 80*a^2*b^3*(e^(-x) - e^x)^2 + 8*b^5*(e^(-x) - e^x)^2 + 20*a^5*(e^(-x) - e^x) - 40*a^3*b^2*(e^(-x) - e^x) - 60*a*b^4*(e^(-x) - e^x) + 80*a^4*b + 160*a^2*b^3)/((e^(-x) - e^x)^2 + 4)^2","B",0
615,1,110,0,0.128164," ","integrate((a*sech(x)+b*tanh(x))^4,x, algorithm=""giac"")","b^{4} x - \frac{4 \, {\left(6 \, a b^{3} e^{\left(5 \, x\right)} + 9 \, a^{2} b^{2} e^{\left(4 \, x\right)} - 3 \, b^{4} e^{\left(4 \, x\right)} + 8 \, a^{3} b e^{\left(3 \, x\right)} + 4 \, a b^{3} e^{\left(3 \, x\right)} + 3 \, a^{4} e^{\left(2 \, x\right)} - 3 \, b^{4} e^{\left(2 \, x\right)} + 6 \, a b^{3} e^{x} + a^{4} + 3 \, a^{2} b^{2} - 2 \, b^{4}\right)}}{3 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}}"," ",0,"b^4*x - 4/3*(6*a*b^3*e^(5*x) + 9*a^2*b^2*e^(4*x) - 3*b^4*e^(4*x) + 8*a^3*b*e^(3*x) + 4*a*b^3*e^(3*x) + 3*a^4*e^(2*x) - 3*b^4*e^(2*x) + 6*a*b^3*e^x + a^4 + 3*a^2*b^2 - 2*b^4)/(e^(2*x) + 1)^3","A",0
616,1,117,0,0.124054," ","integrate((a*sech(x)+b*tanh(x))^3,x, algorithm=""giac"")","\frac{1}{2} \, b^{3} \log\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right) + \frac{1}{4} \, {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} {\left(a^{3} + 3 \, a b^{2}\right)} - \frac{b^{3} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 2 \, a^{3} {\left(e^{\left(-x\right)} - e^{x}\right)} - 6 \, a b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)} + 12 \, a^{2} b}{2 \, {\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}}"," ",0,"1/2*b^3*log((e^(-x) - e^x)^2 + 4) + 1/4*(pi + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))*(a^3 + 3*a*b^2) - 1/2*(b^3*(e^(-x) - e^x)^2 + 2*a^3*(e^(-x) - e^x) - 6*a*b^2*(e^(-x) - e^x) + 12*a^2*b)/((e^(-x) - e^x)^2 + 4)","B",0
617,1,31,0,0.115252," ","integrate((a*sech(x)+b*tanh(x))^2,x, algorithm=""giac"")","b^{2} x - \frac{2 \, {\left(2 \, a b e^{x} + a^{2} - b^{2}\right)}}{e^{\left(2 \, x\right)} + 1}"," ",0,"b^2*x - 2*(2*a*b*e^x + a^2 - b^2)/(e^(2*x) + 1)","A",0
618,1,21,0,0.109774," ","integrate(a*sech(x)+b*tanh(x),x, algorithm=""giac"")","-b {\left(x - \log\left(e^{\left(2 \, x\right)} + 1\right)\right)} + 2 \, a \arctan\left(e^{x}\right)"," ",0,"-b*(x - log(e^(2*x) + 1)) + 2*a*arctan(e^x)","A",0
619,1,22,0,0.118892," ","integrate(1/(a*sech(x)+b*tanh(x)),x, algorithm=""giac"")","\frac{\log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{b}"," ",0,"log(abs(-b*(e^(-x) - e^x) + 2*a))/b","A",0
620,1,97,0,0.138101," ","integrate(1/(a*sech(x)+b*tanh(x))^2,x, algorithm=""giac"")","-\frac{a \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} b^{2}} + \frac{x}{b^{2}} + \frac{2 \, {\left(a e^{x} - b\right)}}{{\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)} b^{2}}"," ",0,"-a*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^2) + x/b^2 + 2*(a*e^x - b)/((b*e^(2*x) + 2*a*e^x - b)*b^2)","A",0
621,1,75,0,0.131438," ","integrate(1/(a*sech(x)+b*tanh(x))^3,x, algorithm=""giac"")","\frac{\log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{b^{3}} - \frac{3 \, b {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} - 4 \, a {\left(e^{\left(-x\right)} - e^{x}\right)} + 4 \, b}{2 \, {\left(b {\left(e^{\left(-x\right)} - e^{x}\right)} - 2 \, a\right)}^{2} b^{2}}"," ",0,"log(abs(-b*(e^(-x) - e^x) + 2*a))/b^3 - 1/2*(3*b*(e^(-x) - e^x)^2 - 4*a*(e^(-x) - e^x) + 4*b)/((b*(e^(-x) - e^x) - 2*a)^2*b^2)","A",0
622,1,267,0,0.171348," ","integrate(1/(a*sech(x)+b*tanh(x))^4,x, algorithm=""giac"")","-\frac{{\left(2 \, a^{3} + 3 \, a b^{2}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{2 \, {\left(a^{2} b^{4} + b^{6}\right)} \sqrt{a^{2} + b^{2}}} + \frac{18 \, a^{3} b^{2} e^{\left(5 \, x\right)} + 15 \, a b^{4} e^{\left(5 \, x\right)} + 54 \, a^{4} b e^{\left(4 \, x\right)} + 27 \, a^{2} b^{3} e^{\left(4 \, x\right)} - 12 \, b^{5} e^{\left(4 \, x\right)} + 44 \, a^{5} e^{\left(3 \, x\right)} - 34 \, a^{3} b^{2} e^{\left(3 \, x\right)} - 48 \, a b^{4} e^{\left(3 \, x\right)} - 78 \, a^{4} b e^{\left(2 \, x\right)} - 36 \, a^{2} b^{3} e^{\left(2 \, x\right)} + 12 \, b^{5} e^{\left(2 \, x\right)} + 48 \, a^{3} b^{2} e^{x} + 33 \, a b^{4} e^{x} - 11 \, a^{2} b^{3} - 8 \, b^{5}}{3 \, {\left(a^{2} b^{4} + b^{6}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)}^{3}} + \frac{x}{b^{4}}"," ",0,"-1/2*(2*a^3 + 3*a*b^2)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^2*b^4 + b^6)*sqrt(a^2 + b^2)) + 1/3*(18*a^3*b^2*e^(5*x) + 15*a*b^4*e^(5*x) + 54*a^4*b*e^(4*x) + 27*a^2*b^3*e^(4*x) - 12*b^5*e^(4*x) + 44*a^5*e^(3*x) - 34*a^3*b^2*e^(3*x) - 48*a*b^4*e^(3*x) - 78*a^4*b*e^(2*x) - 36*a^2*b^3*e^(2*x) + 12*b^5*e^(2*x) + 48*a^3*b^2*e^x + 33*a*b^4*e^x - 11*a^2*b^3 - 8*b^5)/((a^2*b^4 + b^6)*(b*e^(2*x) + 2*a*e^x - b)^3) + x/b^4","A",0
623,1,152,0,0.165455," ","integrate(1/(a*sech(x)+b*tanh(x))^5,x, algorithm=""giac"")","\frac{\log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{b^{5}} - \frac{25 \, b^{3} {\left(e^{\left(-x\right)} - e^{x}\right)}^{4} - 104 \, a b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} + 168 \, a^{2} b {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 48 \, b^{3} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} - 96 \, a^{3} {\left(e^{\left(-x\right)} - e^{x}\right)} - 64 \, a b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)} + 32 \, a^{2} b + 48 \, b^{3}}{12 \, {\left(b {\left(e^{\left(-x\right)} - e^{x}\right)} - 2 \, a\right)}^{4} b^{4}}"," ",0,"log(abs(-b*(e^(-x) - e^x) + 2*a))/b^5 - 1/12*(25*b^3*(e^(-x) - e^x)^4 - 104*a*b^2*(e^(-x) - e^x)^3 + 168*a^2*b*(e^(-x) - e^x)^2 + 48*b^3*(e^(-x) - e^x)^2 - 96*a^3*(e^(-x) - e^x) - 64*a*b^2*(e^(-x) - e^x) + 32*a^2*b + 48*b^3)/((b*(e^(-x) - e^x) - 2*a)^4*b^4)","A",0
624,1,34,0,0.146230," ","integrate((sech(x)+I*tanh(x))^5,x, algorithm=""giac"")","-i \, x - \frac{8 \, {\left(e^{\left(3 \, x\right)} + i \, e^{\left(2 \, x\right)} - e^{x}\right)}}{{\left(e^{x} + i\right)}^{4}} + 2 i \, \log\left(e^{x} + i\right)"," ",0,"-I*x - 8*(e^(3*x) + I*e^(2*x) - e^x)/(e^x + I)^4 + 2*I*log(e^x + I)","A",0
625,1,22,0,0.120239," ","integrate((sech(x)+I*tanh(x))^4,x, algorithm=""giac"")","x - \frac{-24 i \, e^{\left(2 \, x\right)} + 24 \, e^{x} + 16 i}{3 \, {\left(e^{x} + i\right)}^{3}}"," ",0,"x - 1/3*(-24*I*e^(2*x) + 24*e^x + 16*I)/(e^x + I)^3","A",0
626,1,21,0,0.119466," ","integrate((sech(x)+I*tanh(x))^3,x, algorithm=""giac"")","i \, x + \frac{4 \, e^{x}}{{\left(e^{x} + i\right)}^{2}} - 2 i \, \log\left(e^{x} + i\right)"," ",0,"I*x + 4*e^x/(e^x + I)^2 - 2*I*log(e^x + I)","A",0
627,1,12,0,0.144017," ","integrate((sech(x)+I*tanh(x))^2,x, algorithm=""giac"")","-x - \frac{4 i}{e^{x} + i}"," ",0,"-x - 4*I/(e^x + I)","A",0
628,1,18,0,0.137472," ","integrate(sech(x)+I*tanh(x),x, algorithm=""giac"")","-i \, x + 2 \, \arctan\left(e^{x}\right) + i \, \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"-I*x + 2*arctan(e^x) + I*log(e^(2*x) + 1)","A",0
629,1,13,0,0.136584," ","integrate(1/(sech(x)+I*tanh(x)),x, algorithm=""giac"")","i \, x - 2 i \, \log\left(i \, e^{x} + 1\right)"," ",0,"I*x - 2*I*log(I*e^x + 1)","A",0
630,1,12,0,0.140074," ","integrate(1/(sech(x)+I*tanh(x))^2,x, algorithm=""giac"")","-x + \frac{4 i}{e^{x} - i}"," ",0,"-x + 4*I/(e^x - I)","A",0
631,1,27,0,0.134938," ","integrate(1/(sech(x)+I*tanh(x))^3,x, algorithm=""giac"")","\frac{4 \, e^{x}}{{\left(e^{x} - i\right)}^{2}} - i \, \log\left(i \, e^{x}\right) + 2 i \, \log\left(-i \, e^{x} - 1\right)"," ",0,"4*e^x/(e^x - I)^2 - I*log(I*e^x) + 2*I*log(-I*e^x - 1)","A",0
632,1,22,0,0.137087," ","integrate(1/(sech(x)+I*tanh(x))^4,x, algorithm=""giac"")","x - \frac{24 i \, e^{\left(2 \, x\right)} + 24 \, e^{x} - 16 i}{3 \, {\left(e^{x} - i\right)}^{3}}"," ",0,"x - 1/3*(24*I*e^(2*x) + 24*e^x - 16*I)/(e^x - I)^3","A",0
633,1,38,0,0.130542," ","integrate(1/(sech(x)+I*tanh(x))^5,x, algorithm=""giac"")","-\frac{8 \, {\left(e^{\left(3 \, x\right)} - i \, e^{\left(2 \, x\right)} - e^{x}\right)}}{{\left(e^{x} - i\right)}^{4}} + i \, \log\left(i \, e^{x}\right) - 2 i \, \log\left(e^{x} - i\right)"," ",0,"-8*(e^(3*x) - I*e^(2*x) - e^x)/(e^x - I)^4 + I*log(I*e^x) - 2*I*log(e^x - I)","A",0
634,1,34,0,0.120717," ","integrate((sech(x)-I*tanh(x))^5,x, algorithm=""giac"")","i \, x - \frac{8 \, {\left(e^{\left(3 \, x\right)} - i \, e^{\left(2 \, x\right)} - e^{x}\right)}}{{\left(e^{x} - i\right)}^{4}} - 2 i \, \log\left(e^{x} - i\right)"," ",0,"I*x - 8*(e^(3*x) - I*e^(2*x) - e^x)/(e^x - I)^4 - 2*I*log(e^x - I)","A",0
635,1,22,0,0.144551," ","integrate((sech(x)-I*tanh(x))^4,x, algorithm=""giac"")","x - \frac{24 i \, e^{\left(2 \, x\right)} + 24 \, e^{x} - 16 i}{3 \, {\left(e^{x} - i\right)}^{3}}"," ",0,"x - 1/3*(24*I*e^(2*x) + 24*e^x - 16*I)/(e^x - I)^3","A",0
636,1,21,0,0.139053," ","integrate((sech(x)-I*tanh(x))^3,x, algorithm=""giac"")","-i \, x + \frac{4 \, e^{x}}{{\left(e^{x} - i\right)}^{2}} + 2 i \, \log\left(e^{x} - i\right)"," ",0,"-I*x + 4*e^x/(e^x - I)^2 + 2*I*log(e^x - I)","A",0
637,1,12,0,0.118070," ","integrate((sech(x)-I*tanh(x))^2,x, algorithm=""giac"")","-x + \frac{4 i}{e^{x} - i}"," ",0,"-x + 4*I/(e^x - I)","A",0
638,1,18,0,0.125406," ","integrate(sech(x)-I*tanh(x),x, algorithm=""giac"")","i \, x + 2 \, \arctan\left(e^{x}\right) - i \, \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"I*x + 2*arctan(e^x) - I*log(e^(2*x) + 1)","A",0
639,1,13,0,0.118359," ","integrate(1/(sech(x)-I*tanh(x)),x, algorithm=""giac"")","-i \, x + 2 i \, \log\left(-i \, e^{x} + 1\right)"," ",0,"-I*x + 2*I*log(-I*e^x + 1)","A",0
640,1,12,0,0.117353," ","integrate(1/(sech(x)-I*tanh(x))^2,x, algorithm=""giac"")","-x - \frac{4 i}{e^{x} + i}"," ",0,"-x - 4*I/(e^x + I)","A",0
641,1,27,0,0.139013," ","integrate(1/(sech(x)-I*tanh(x))^3,x, algorithm=""giac"")","\frac{4 \, e^{x}}{{\left(e^{x} + i\right)}^{2}} + i \, \log\left(-i \, e^{x}\right) - 2 i \, \log\left(i \, e^{x} - 1\right)"," ",0,"4*e^x/(e^x + I)^2 + I*log(-I*e^x) - 2*I*log(I*e^x - 1)","A",0
642,1,22,0,0.139401," ","integrate(1/(sech(x)-I*tanh(x))^4,x, algorithm=""giac"")","x - \frac{-24 i \, e^{\left(2 \, x\right)} + 24 \, e^{x} + 16 i}{3 \, {\left(e^{x} + i\right)}^{3}}"," ",0,"x - 1/3*(-24*I*e^(2*x) + 24*e^x + 16*I)/(e^x + I)^3","A",0
643,1,38,0,0.120096," ","integrate(1/(sech(x)-I*tanh(x))^5,x, algorithm=""giac"")","-\frac{8 \, {\left(e^{\left(3 \, x\right)} + i \, e^{\left(2 \, x\right)} - e^{x}\right)}}{{\left(e^{x} + i\right)}^{4}} - i \, \log\left(-i \, e^{x}\right) + 2 i \, \log\left(e^{x} + i\right)"," ",0,"-8*(e^(3*x) + I*e^(2*x) - e^x)/(e^x + I)^4 - I*log(-I*e^x) + 2*I*log(e^x + I)","A",0
644,1,234,0,0.138008," ","integrate((a*coth(x)+b*csch(x))^5,x, algorithm=""giac"")","\frac{1}{16} \, {\left(8 \, a^{5} - 15 \, a^{4} b + 10 \, a^{2} b^{3} - 3 \, b^{5}\right)} \log\left(e^{\left(-x\right)} + e^{x} + 2\right) + \frac{1}{16} \, {\left(8 \, a^{5} + 15 \, a^{4} b - 10 \, a^{2} b^{3} + 3 \, b^{5}\right)} \log\left(e^{\left(-x\right)} + e^{x} - 2\right) - \frac{3 \, a^{5} {\left(e^{\left(-x\right)} + e^{x}\right)}^{4} + 25 \, a^{4} b {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} + 10 \, a^{2} b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - 3 \, b^{5} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - 8 \, a^{5} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 80 \, a^{3} b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 60 \, a^{4} b {\left(e^{\left(-x\right)} + e^{x}\right)} + 40 \, a^{2} b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)} + 20 \, b^{5} {\left(e^{\left(-x\right)} + e^{x}\right)} - 160 \, a^{3} b^{2} + 80 \, a b^{4}}{4 \, {\left({\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 4\right)}^{2}}"," ",0,"1/16*(8*a^5 - 15*a^4*b + 10*a^2*b^3 - 3*b^5)*log(e^(-x) + e^x + 2) + 1/16*(8*a^5 + 15*a^4*b - 10*a^2*b^3 + 3*b^5)*log(e^(-x) + e^x - 2) - 1/4*(3*a^5*(e^(-x) + e^x)^4 + 25*a^4*b*(e^(-x) + e^x)^3 + 10*a^2*b^3*(e^(-x) + e^x)^3 - 3*b^5*(e^(-x) + e^x)^3 - 8*a^5*(e^(-x) + e^x)^2 + 80*a^3*b^2*(e^(-x) + e^x)^2 - 60*a^4*b*(e^(-x) + e^x) + 40*a^2*b^3*(e^(-x) + e^x) + 20*b^5*(e^(-x) + e^x) - 160*a^3*b^2 + 80*a*b^4)/((e^(-x) + e^x)^2 - 4)^2","B",0
645,1,112,0,0.120868," ","integrate((a*coth(x)+b*csch(x))^4,x, algorithm=""giac"")","a^{4} x - \frac{4 \, {\left(6 \, a^{3} b e^{\left(5 \, x\right)} + 3 \, a^{4} e^{\left(4 \, x\right)} + 9 \, a^{2} b^{2} e^{\left(4 \, x\right)} - 4 \, a^{3} b e^{\left(3 \, x\right)} + 8 \, a b^{3} e^{\left(3 \, x\right)} - 3 \, a^{4} e^{\left(2 \, x\right)} + 3 \, b^{4} e^{\left(2 \, x\right)} + 6 \, a^{3} b e^{x} + 2 \, a^{4} + 3 \, a^{2} b^{2} - b^{4}\right)}}{3 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"a^4*x - 4/3*(6*a^3*b*e^(5*x) + 3*a^4*e^(4*x) + 9*a^2*b^2*e^(4*x) - 4*a^3*b*e^(3*x) + 8*a*b^3*e^(3*x) - 3*a^4*e^(2*x) + 3*b^4*e^(2*x) + 6*a^3*b*e^x + 2*a^4 + 3*a^2*b^2 - b^4)/(e^(2*x) - 1)^3","A",0
646,1,115,0,0.137148," ","integrate((a*coth(x)+b*csch(x))^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left(2 \, a^{3} - 3 \, a^{2} b + b^{3}\right)} \log\left(e^{\left(-x\right)} + e^{x} + 2\right) + \frac{1}{4} \, {\left(2 \, a^{3} + 3 \, a^{2} b - b^{3}\right)} \log\left(e^{\left(-x\right)} + e^{x} - 2\right) - \frac{a^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 6 \, a^{2} b {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)} + 12 \, a b^{2}}{2 \, {\left({\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 4\right)}}"," ",0,"1/4*(2*a^3 - 3*a^2*b + b^3)*log(e^(-x) + e^x + 2) + 1/4*(2*a^3 + 3*a^2*b - b^3)*log(e^(-x) + e^x - 2) - 1/2*(a^3*(e^(-x) + e^x)^2 + 6*a^2*b*(e^(-x) + e^x) + 2*b^3*(e^(-x) + e^x) + 12*a*b^2)/((e^(-x) + e^x)^2 - 4)","B",0
647,1,29,0,0.134170," ","integrate((a*coth(x)+b*csch(x))^2,x, algorithm=""giac"")","a^{2} x - \frac{2 \, {\left(2 \, a b e^{x} + a^{2} + b^{2}\right)}}{e^{\left(2 \, x\right)} - 1}"," ",0,"a^2*x - 2*(2*a*b*e^x + a^2 + b^2)/(e^(2*x) - 1)","A",0
648,1,33,0,0.131175," ","integrate(a*coth(x)+b*csch(x),x, algorithm=""giac"")","-a {\left(x - \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)\right)} - b {\left(\log\left(e^{x} + 1\right) - \log\left({\left| e^{x} - 1 \right|}\right)\right)}"," ",0,"-a*(x - log(abs(e^(2*x) - 1))) - b*(log(e^x + 1) - log(abs(e^x - 1)))","B",0
649,1,19,0,0.151326," ","integrate(1/(a*coth(x)+b*csch(x)),x, algorithm=""giac"")","\frac{\log\left({\left| a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b \right|}\right)}{a}"," ",0,"log(abs(a*(e^(-x) + e^x) + 2*b))/a","A",0
650,1,68,0,0.124756," ","integrate(1/(a*coth(x)+b*csch(x))^2,x, algorithm=""giac"")","-\frac{2 \, b \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} a^{2}} + \frac{x}{a^{2}} + \frac{2 \, {\left(b e^{x} + a\right)}}{{\left(a e^{\left(2 \, x\right)} + 2 \, b e^{x} + a\right)} a^{2}}"," ",0,"-2*b*arctan((a*e^x + b)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*a^2) + x/a^2 + 2*(b*e^x + a)/((a*e^(2*x) + 2*b*e^x + a)*a^2)","A",0
651,1,66,0,0.146360," ","integrate(1/(a*coth(x)+b*csch(x))^3,x, algorithm=""giac"")","\frac{\log\left({\left| a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b \right|}\right)}{a^{3}} - \frac{3 \, a {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 4 \, b {\left(e^{\left(-x\right)} + e^{x}\right)} - 4 \, a}{2 \, {\left(a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b\right)}^{2} a^{2}}"," ",0,"log(abs(a*(e^(-x) + e^x) + 2*b))/a^3 - 1/2*(3*a*(e^(-x) + e^x)^2 + 4*b*(e^(-x) + e^x) - 4*a)/((a*(e^(-x) + e^x) + 2*b)^2*a^2)","A",0
652,1,242,0,0.183176," ","integrate(1/(a*coth(x)+b*csch(x))^4,x, algorithm=""giac"")","-\frac{{\left(3 \, a^{2} b - 2 \, b^{3}\right)} \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{6} - a^{4} b^{2}\right)} \sqrt{a^{2} - b^{2}}} + \frac{15 \, a^{4} b e^{\left(5 \, x\right)} - 18 \, a^{2} b^{3} e^{\left(5 \, x\right)} + 12 \, a^{5} e^{\left(4 \, x\right)} + 27 \, a^{3} b^{2} e^{\left(4 \, x\right)} - 54 \, a b^{4} e^{\left(4 \, x\right)} + 48 \, a^{4} b e^{\left(3 \, x\right)} - 34 \, a^{2} b^{3} e^{\left(3 \, x\right)} - 44 \, b^{5} e^{\left(3 \, x\right)} + 12 \, a^{5} e^{\left(2 \, x\right)} + 36 \, a^{3} b^{2} e^{\left(2 \, x\right)} - 78 \, a b^{4} e^{\left(2 \, x\right)} + 33 \, a^{4} b e^{x} - 48 \, a^{2} b^{3} e^{x} + 8 \, a^{5} - 11 \, a^{3} b^{2}}{3 \, {\left(a^{6} - a^{4} b^{2}\right)} {\left(a e^{\left(2 \, x\right)} + 2 \, b e^{x} + a\right)}^{3}} + \frac{x}{a^{4}}"," ",0,"-(3*a^2*b - 2*b^3)*arctan((a*e^x + b)/sqrt(a^2 - b^2))/((a^6 - a^4*b^2)*sqrt(a^2 - b^2)) + 1/3*(15*a^4*b*e^(5*x) - 18*a^2*b^3*e^(5*x) + 12*a^5*e^(4*x) + 27*a^3*b^2*e^(4*x) - 54*a*b^4*e^(4*x) + 48*a^4*b*e^(3*x) - 34*a^2*b^3*e^(3*x) - 44*b^5*e^(3*x) + 12*a^5*e^(2*x) + 36*a^3*b^2*e^(2*x) - 78*a*b^4*e^(2*x) + 33*a^4*b*e^x - 48*a^2*b^3*e^x + 8*a^5 - 11*a^3*b^2)/((a^6 - a^4*b^2)*(a*e^(2*x) + 2*b*e^x + a)^3) + x/a^4","A",0
653,1,135,0,0.182639," ","integrate(1/(a*coth(x)+b*csch(x))^5,x, algorithm=""giac"")","\frac{\log\left({\left| a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b \right|}\right)}{a^{5}} - \frac{25 \, a^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{4} + 104 \, a^{2} b {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - 48 \, a^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 168 \, a b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 64 \, a^{2} b {\left(e^{\left(-x\right)} + e^{x}\right)} + 96 \, b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)} + 48 \, a^{3} - 32 \, a b^{2}}{12 \, {\left(a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b\right)}^{4} a^{4}}"," ",0,"log(abs(a*(e^(-x) + e^x) + 2*b))/a^5 - 1/12*(25*a^3*(e^(-x) + e^x)^4 + 104*a^2*b*(e^(-x) + e^x)^3 - 48*a^3*(e^(-x) + e^x)^2 + 168*a*b^2*(e^(-x) + e^x)^2 - 64*a^2*b*(e^(-x) + e^x) + 96*b^3*(e^(-x) + e^x) + 48*a^3 - 32*a*b^2)/((a*(e^(-x) + e^x) + 2*b)^4*a^4)","A",0
654,1,33,0,0.120867," ","integrate((coth(x)+csch(x))^5,x, algorithm=""giac"")","-x - \frac{8 \, {\left(e^{\left(3 \, x\right)} - e^{\left(2 \, x\right)} + e^{x}\right)}}{{\left(e^{x} - 1\right)}^{4}} + 2 \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-x - 8*(e^(3*x) - e^(2*x) + e^x)/(e^x - 1)^4 + 2*log(abs(e^x - 1))","A",0
655,1,22,0,0.109266," ","integrate((coth(x)+csch(x))^4,x, algorithm=""giac"")","x - \frac{8 \, {\left(3 \, e^{\left(2 \, x\right)} - 3 \, e^{x} + 2\right)}}{3 \, {\left(e^{x} - 1\right)}^{3}}"," ",0,"x - 8/3*(3*e^(2*x) - 3*e^x + 2)/(e^x - 1)^3","A",0
656,1,22,0,0.130536," ","integrate((coth(x)+csch(x))^3,x, algorithm=""giac"")","-x - \frac{4 \, e^{x}}{{\left(e^{x} - 1\right)}^{2}} + 2 \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-x - 4*e^x/(e^x - 1)^2 + 2*log(abs(e^x - 1))","A",0
657,1,10,0,0.131187," ","integrate((coth(x)+csch(x))^2,x, algorithm=""giac"")","x - \frac{4}{e^{x} - 1}"," ",0,"x - 4/(e^x - 1)","A",0
658,1,25,0,0.111454," ","integrate(coth(x)+csch(x),x, algorithm=""giac"")","-x - \log\left(e^{x} + 1\right) + \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right) + \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-x - log(e^x + 1) + log(abs(e^(2*x) - 1)) + log(abs(e^x - 1))","B",0
659,1,11,0,0.127094," ","integrate(1/(coth(x)+csch(x)),x, algorithm=""giac"")","-x + 2 \, \log\left(e^{x} + 1\right)"," ",0,"-x + 2*log(e^x + 1)","B",0
660,1,10,0,0.134134," ","integrate(1/(coth(x)+csch(x))^2,x, algorithm=""giac"")","x + \frac{4}{e^{x} + 1}"," ",0,"x + 4/(e^x + 1)","A",0
661,1,21,0,0.115041," ","integrate(1/(coth(x)+csch(x))^3,x, algorithm=""giac"")","-x + \frac{4 \, e^{x}}{{\left(e^{x} + 1\right)}^{2}} + 2 \, \log\left(e^{x} + 1\right)"," ",0,"-x + 4*e^x/(e^x + 1)^2 + 2*log(e^x + 1)","A",0
662,1,22,0,0.117399," ","integrate(1/(coth(x)+csch(x))^4,x, algorithm=""giac"")","x + \frac{8 \, {\left(3 \, e^{\left(2 \, x\right)} + 3 \, e^{x} + 2\right)}}{3 \, {\left(e^{x} + 1\right)}^{3}}"," ",0,"x + 8/3*(3*e^(2*x) + 3*e^x + 2)/(e^x + 1)^3","A",0
663,1,30,0,0.116466," ","integrate(1/(coth(x)+csch(x))^5,x, algorithm=""giac"")","-x + \frac{8 \, {\left(e^{\left(3 \, x\right)} + e^{\left(2 \, x\right)} + e^{x}\right)}}{{\left(e^{x} + 1\right)}^{4}} + 2 \, \log\left(e^{x} + 1\right)"," ",0,"-x + 8*(e^(3*x) + e^(2*x) + e^x)/(e^x + 1)^4 + 2*log(e^x + 1)","A",0
664,1,28,0,0.130502," ","integrate((-coth(x)+csch(x))^5,x, algorithm=""giac"")","x - \frac{8 \, {\left(e^{\left(3 \, x\right)} + e^{\left(2 \, x\right)} + e^{x}\right)}}{{\left(e^{x} + 1\right)}^{4}} - 2 \, \log\left(e^{x} + 1\right)"," ",0,"x - 8*(e^(3*x) + e^(2*x) + e^x)/(e^x + 1)^4 - 2*log(e^x + 1)","A",0
665,1,22,0,0.128895," ","integrate((-coth(x)+csch(x))^4,x, algorithm=""giac"")","x + \frac{8 \, {\left(3 \, e^{\left(2 \, x\right)} + 3 \, e^{x} + 2\right)}}{3 \, {\left(e^{x} + 1\right)}^{3}}"," ",0,"x + 8/3*(3*e^(2*x) + 3*e^x + 2)/(e^x + 1)^3","A",0
666,1,19,0,0.111458," ","integrate((-coth(x)+csch(x))^3,x, algorithm=""giac"")","x - \frac{4 \, e^{x}}{{\left(e^{x} + 1\right)}^{2}} - 2 \, \log\left(e^{x} + 1\right)"," ",0,"x - 4*e^x/(e^x + 1)^2 - 2*log(e^x + 1)","A",0
667,1,10,0,0.111935," ","integrate((-coth(x)+csch(x))^2,x, algorithm=""giac"")","x + \frac{4}{e^{x} + 1}"," ",0,"x + 4/(e^x + 1)","A",0
668,1,25,0,0.123882," ","integrate(-coth(x)+csch(x),x, algorithm=""giac"")","x - \log\left(e^{x} + 1\right) - \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right) + \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"x - log(e^x + 1) - log(abs(e^(2*x) - 1)) + log(abs(e^x - 1))","B",0
669,1,10,0,0.132165," ","integrate(1/(-coth(x)+csch(x)),x, algorithm=""giac"")","x - 2 \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"x - 2*log(abs(e^x - 1))","A",0
670,1,10,0,0.129435," ","integrate(1/(-coth(x)+csch(x))^2,x, algorithm=""giac"")","x - \frac{4}{e^{x} - 1}"," ",0,"x - 4/(e^x - 1)","A",0
671,1,20,0,0.130433," ","integrate(1/(-coth(x)+csch(x))^3,x, algorithm=""giac"")","x + \frac{4 \, e^{x}}{{\left(e^{x} - 1\right)}^{2}} - 2 \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"x + 4*e^x/(e^x - 1)^2 - 2*log(abs(e^x - 1))","A",0
672,1,22,0,0.139307," ","integrate(1/(-coth(x)+csch(x))^4,x, algorithm=""giac"")","x - \frac{8 \, {\left(3 \, e^{\left(2 \, x\right)} - 3 \, e^{x} + 2\right)}}{3 \, {\left(e^{x} - 1\right)}^{3}}"," ",0,"x - 8/3*(3*e^(2*x) - 3*e^x + 2)/(e^x - 1)^3","A",0
673,1,31,0,0.112503," ","integrate(1/(-coth(x)+csch(x))^5,x, algorithm=""giac"")","x + \frac{8 \, {\left(e^{\left(3 \, x\right)} - e^{\left(2 \, x\right)} + e^{x}\right)}}{{\left(e^{x} - 1\right)}^{4}} - 2 \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"x + 8*(e^(3*x) - e^(2*x) + e^x)/(e^x - 1)^4 - 2*log(abs(e^x - 1))","A",0
674,1,24,0,0.111288," ","integrate(csch(x)+sinh(x),x, algorithm=""giac"")","\frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x} - \log\left(e^{x} + 1\right) + \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"1/2*e^(-x) + 1/2*e^x - log(e^x + 1) + log(abs(e^x - 1))","B",0
675,1,39,0,0.112535," ","integrate((csch(x)+sinh(x))^2,x, algorithm=""giac"")","\frac{3}{2} \, x - \frac{3 \, e^{\left(4 \, x\right)} + 14 \, e^{\left(2 \, x\right)} - 1}{8 \, {\left(e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)}\right)}} + \frac{1}{8} \, e^{\left(2 \, x\right)}"," ",0,"3/2*x - 1/8*(3*e^(4*x) + 14*e^(2*x) - 1)/(e^(4*x) - e^(2*x)) + 1/8*e^(2*x)","B",0
676,1,62,0,0.113530," ","integrate((csch(x)+sinh(x))^3,x, algorithm=""giac"")","\frac{1}{24} \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - \frac{e^{\left(-x\right)} + e^{x}}{{\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 4} + e^{\left(-x\right)} + e^{x} - \frac{5}{4} \, \log\left(e^{\left(-x\right)} + e^{x} + 2\right) + \frac{5}{4} \, \log\left(e^{\left(-x\right)} + e^{x} - 2\right)"," ",0,"1/24*(e^(-x) + e^x)^3 - (e^(-x) + e^x)/((e^(-x) + e^x)^2 - 4) + e^(-x) + e^x - 5/4*log(e^(-x) + e^x + 2) + 5/4*log(e^(-x) + e^x - 2)","B",0
677,0,0,0,0.000000," ","integrate((csch(x)+sinh(x))^(1/2),x, algorithm=""giac"")","\int \sqrt{\operatorname{csch}\left(x\right) + \sinh\left(x\right)}\,{d x}"," ",0,"integrate(sqrt(csch(x) + sinh(x)), x)","F",0
678,0,0,0,0.000000," ","integrate((csch(x)+sinh(x))^(3/2),x, algorithm=""giac"")","\int {\left(\operatorname{csch}\left(x\right) + \sinh\left(x\right)\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((csch(x) + sinh(x))^(3/2), x)","F",0
679,0,0,0,0.000000," ","integrate((csch(x)+sinh(x))^(5/2),x, algorithm=""giac"")","\int {\left(\operatorname{csch}\left(x\right) + \sinh\left(x\right)\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((csch(x) + sinh(x))^(5/2), x)","F",0
680,1,16,0,0.130160," ","integrate(-cosh(x)+sech(x),x, algorithm=""giac"")","2 \, \arctan\left(e^{x}\right) + \frac{1}{2} \, e^{\left(-x\right)} - \frac{1}{2} \, e^{x}"," ",0,"2*arctan(e^x) + 1/2*e^(-x) - 1/2*e^x","A",0
681,1,37,0,0.145355," ","integrate((-cosh(x)+sech(x))^2,x, algorithm=""giac"")","-\frac{3}{2} \, x + \frac{3 \, e^{\left(4 \, x\right)} - 14 \, e^{\left(2 \, x\right)} - 1}{8 \, {\left(e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)}\right)}} + \frac{1}{8} \, e^{\left(2 \, x\right)}"," ",0,"-3/2*x + 1/8*(3*e^(4*x) - 14*e^(2*x) - 1)/(e^(4*x) + e^(2*x)) + 1/8*e^(2*x)","B",0
682,1,66,0,0.123507," ","integrate((-cosh(x)+sech(x))^3,x, algorithm=""giac"")","-\frac{5}{4} \, \pi + \frac{1}{24} \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} - \frac{e^{\left(-x\right)} - e^{x}}{{\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4} - \frac{5}{2} \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right) - e^{\left(-x\right)} + e^{x}"," ",0,"-5/4*pi + 1/24*(e^(-x) - e^x)^3 - (e^(-x) - e^x)/((e^(-x) - e^x)^2 + 4) - 5/2*arctan(1/2*(e^(2*x) - 1)*e^(-x)) - e^(-x) + e^x","B",0
683,0,0,0,0.000000," ","integrate((-cosh(x)+sech(x))^(1/2),x, algorithm=""giac"")","\int \sqrt{-\cosh\left(x\right) + \operatorname{sech}\left(x\right)}\,{d x}"," ",0,"integrate(sqrt(-cosh(x) + sech(x)), x)","F",0
684,0,0,0,0.000000," ","integrate((-cosh(x)+sech(x))^(3/2),x, algorithm=""giac"")","\int {\left(-\cosh\left(x\right) + \operatorname{sech}\left(x\right)\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((-cosh(x) + sech(x))^(3/2), x)","F",0
685,0,0,0,0.000000," ","integrate((-cosh(x)+sech(x))^(5/2),x, algorithm=""giac"")","\int {\left(-\cosh\left(x\right) + \operatorname{sech}\left(x\right)\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((-cosh(x) + sech(x))^(5/2), x)","F",0
686,1,43,0,0.131311," ","integrate(1/(sinh(x)+tanh(x)),x, algorithm=""giac"")","\frac{e^{\left(-x\right)} + e^{x} - 2}{4 \, {\left(e^{\left(-x\right)} + e^{x} + 2\right)}} - \frac{1}{4} \, \log\left(e^{\left(-x\right)} + e^{x} + 2\right) + \frac{1}{4} \, \log\left(e^{\left(-x\right)} + e^{x} - 2\right)"," ",0,"1/4*(e^(-x) + e^x - 2)/(e^(-x) + e^x + 2) - 1/4*log(e^(-x) + e^x + 2) + 1/4*log(e^(-x) + e^x - 2)","B",0
687,1,43,0,0.115444," ","integrate(1/(sinh(x)-tanh(x)),x, algorithm=""giac"")","-\frac{e^{\left(-x\right)} + e^{x} + 2}{4 \, {\left(e^{\left(-x\right)} + e^{x} - 2\right)}} - \frac{1}{4} \, \log\left(e^{\left(-x\right)} + e^{x} + 2\right) + \frac{1}{4} \, \log\left(e^{\left(-x\right)} + e^{x} - 2\right)"," ",0,"-1/4*(e^(-x) + e^x + 2)/(e^(-x) + e^x - 2) - 1/4*log(e^(-x) + e^x + 2) + 1/4*log(e^(-x) + e^x - 2)","B",0
688,1,43,0,0.131770," ","integrate(sinh(x)/(a*cosh(x)+b*sinh(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
689,1,61,0,0.119416," ","integrate(sinh(x)^2/(a*cosh(x)+b*sinh(x)),x, algorithm=""giac"")","-\frac{2 \, a^{2} \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{2} - b^{2}\right)}^{\frac{3}{2}}} - \frac{e^{\left(-x\right)}}{2 \, {\left(a - b\right)}} + \frac{e^{x}}{2 \, {\left(a + b\right)}}"," ",0,"-2*a^2*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/(a^2 - b^2)^(3/2) - 1/2*e^(-x)/(a - b) + 1/2*e^x/(a + b)","A",0
690,1,114,0,0.142840," ","integrate(sinh(x)^3/(a*cosh(x)+b*sinh(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^{4} - 2 \, a^{2} b^{2} + b^{4}} + \frac{{\left(2 \, a - b\right)} x}{2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}} - \frac{{\left(4 \, a e^{\left(2 \, x\right)} - 2 \, 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,"-a^3*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^4 - 2*a^2*b^2 + b^4) + 1/2*(2*a - b)*x/(a^2 - 2*a*b + b^2) - 1/8*(4*a*e^(2*x) - 2*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
691,1,43,0,0.120694," ","integrate(cosh(x)/(a*cosh(x)+b*sinh(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
692,1,61,0,0.126335," ","integrate(cosh(x)^2/(a*cosh(x)+b*sinh(x)),x, algorithm=""giac"")","-\frac{2 \, b^{2} \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{2} - b^{2}\right)}^{\frac{3}{2}}} - \frac{e^{\left(-x\right)}}{2 \, {\left(a - b\right)}} + \frac{e^{x}}{2 \, {\left(a + b\right)}}"," ",0,"-2*b^2*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/(a^2 - b^2)^(3/2) - 1/2*e^(-x)/(a - b) + 1/2*e^x/(a + b)","A",0
693,1,111,0,0.127280," ","integrate(cosh(x)^3/(a*cosh(x)+b*sinh(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
694,1,48,0,0.124841," ","integrate(tanh(x)/(b*cosh(x)+a*sinh(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
695,1,60,0,0.118047," ","integrate(coth(x)/(b*cosh(x)+a*sinh(x)),x, algorithm=""giac"")","-\frac{2 \, a \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} b} - \frac{\log\left(e^{x} + 1\right)}{b} + \frac{\log\left({\left| e^{x} - 1 \right|}\right)}{b}"," ",0,"-2*a*arctan((a*e^x + b*e^x)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*b) - log(e^x + 1)/b + log(abs(e^x - 1))/b","A",0
696,1,72,0,0.129662," ","integrate(sinh(x)/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{2 \, b \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{2} - b^{2}\right)}^{\frac{3}{2}}} - \frac{2 \, a e^{x}}{{\left(a^{2} - b^{2}\right)} {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)}}"," ",0,"-2*b*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/(a^2 - b^2)^(3/2) - 2*a*e^x/((a^2 - b^2)*(a*e^(2*x) + b*e^(2*x) + a - b))","A",0
697,1,113,0,0.141840," ","integrate(sinh(x)^2/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{2 \, a 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{x}{a^{2} - 2 \, a b + b^{2}} + \frac{2 \, {\left(a b e^{\left(2 \, x\right)} + a^{2} - a b\right)}}{{\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)}}"," ",0,"-2*a*b*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^4 - 2*a^2*b^2 + b^4) + x/(a^2 - 2*a*b + b^2) + 2*(a*b*e^(2*x) + a^2 - a*b)/((a^3 - a^2*b - a*b^2 + b^3)*(a*e^(2*x) + b*e^(2*x) + a - b))","A",0
698,1,174,0,0.134896," ","integrate(sinh(x)^3/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","\frac{6 \, a^{2} 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{e^{x}}{2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} + \frac{5 \, a^{3} e^{\left(2 \, x\right)} + 3 \, a^{2} b e^{\left(2 \, x\right)} + 3 \, 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}}{2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left(a e^{\left(3 \, x\right)} + b e^{\left(3 \, x\right)} + a e^{x} - b e^{x}\right)}}"," ",0,"6*a^2*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)) + 1/2*e^x/(a^2 + 2*a*b + b^2) + 1/2*(5*a^3*e^(2*x) + 3*a^2*b*e^(2*x) + 3*a*b^2*e^(2*x) + b^3*e^(2*x) + a^3 + a^2*b - a*b^2 - b^3)/((a^4 - 2*a^2*b^2 + b^4)*(a*e^(3*x) + b*e^(3*x) + a*e^x - b*e^x))","A",0
699,1,72,0,0.127434," ","integrate(cosh(x)/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","\frac{2 \, a \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{2} - b^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, b e^{x}}{{\left(a^{2} - b^{2}\right)} {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)}}"," ",0,"2*a*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/(a^2 - b^2)^(3/2) + 2*b*e^x/((a^2 - b^2)*(a*e^(2*x) + b*e^(2*x) + a - b))","A",0
700,1,114,0,0.127093," ","integrate(cosh(x)^2/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{2 \, a 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{x}{a^{2} - 2 \, a b + b^{2}} + \frac{2 \, {\left(a b e^{\left(2 \, x\right)} + a b - b^{2}\right)}}{{\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)}}"," ",0,"-2*a*b*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^4 - 2*a^2*b^2 + b^4) + x/(a^2 - 2*a*b + b^2) + 2*(a*b*e^(2*x) + a*b - b^2)/((a^3 - a^2*b - a*b^2 + b^3)*(a*e^(2*x) + b*e^(2*x) + a - b))","A",0
701,1,174,0,0.135086," ","integrate(cosh(x)^3/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{6 \, a b^{2} \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{e^{x}}{2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} - \frac{a^{3} e^{\left(2 \, x\right)} + 3 \, a^{2} b e^{\left(2 \, x\right)} + 3 \, a b^{2} e^{\left(2 \, x\right)} + 5 \, b^{3} e^{\left(2 \, x\right)} + a^{3} + a^{2} b - a b^{2} - b^{3}}{2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left(a e^{\left(3 \, x\right)} + b e^{\left(3 \, x\right)} + a e^{x} - b e^{x}\right)}}"," ",0,"-6*a*b^2*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)) + 1/2*e^x/(a^2 + 2*a*b + b^2) - 1/2*(a^3*e^(2*x) + 3*a^2*b*e^(2*x) + 3*a*b^2*e^(2*x) + 5*b^3*e^(2*x) + a^3 + a^2*b - a*b^2 - b^3)/((a^4 - 2*a^2*b^2 + b^4)*(a*e^(3*x) + b*e^(3*x) + a*e^x - b*e^x))","A",0
702,1,50,0,0.128573," ","integrate(sinh(x)/(a*cosh(x)+b*sinh(x))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} - b\right)}}{{\left(a^{2} + 2 \, a b + b^{2}\right)} {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)}^{2}}"," ",0,"-2*(a*e^(2*x) + b*e^(2*x) - b)/((a^2 + 2*a*b + b^2)*(a*e^(2*x) + b*e^(2*x) + a - b)^2)","B",0
703,1,251,0,0.141932," ","integrate(sinh(x)^3/(a*cosh(x)+b*sinh(x))^3,x, algorithm=""giac"")","\frac{{\left(a^{3} + 3 \, a b^{2}\right)} \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{x}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} - \frac{3 \, a^{4} e^{\left(4 \, x\right)} + 3 \, a^{3} b e^{\left(4 \, x\right)} + 9 \, a^{2} b^{2} e^{\left(4 \, x\right)} + 9 \, a b^{3} e^{\left(4 \, x\right)} + 2 \, a^{4} e^{\left(2 \, x\right)} + 10 \, a^{3} b e^{\left(2 \, x\right)} + 6 \, a^{2} b^{2} e^{\left(2 \, x\right)} - 18 \, a b^{3} e^{\left(2 \, x\right)} + 3 \, a^{4} + 3 \, a^{3} b - 15 \, a^{2} b^{2} + 9 \, a b^{3}}{2 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)}^{2}}"," ",0,"(a^3 + 3*a*b^2)*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) - x/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) - 1/2*(3*a^4*e^(4*x) + 3*a^3*b*e^(4*x) + 9*a^2*b^2*e^(4*x) + 9*a*b^3*e^(4*x) + 2*a^4*e^(2*x) + 10*a^3*b*e^(2*x) + 6*a^2*b^2*e^(2*x) - 18*a*b^3*e^(2*x) + 3*a^4 + 3*a^3*b - 15*a^2*b^2 + 9*a*b^3)/((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*(a*e^(2*x) + b*e^(2*x) + a - b)^2)","B",0
704,1,48,0,0.125791," ","integrate(cosh(x)/(a*cosh(x)+b*sinh(x))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a\right)}}{{\left(a^{2} + 2 \, a b + b^{2}\right)} {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)}^{2}}"," ",0,"-2*(a*e^(2*x) + b*e^(2*x) + a)/((a^2 + 2*a*b + b^2)*(a*e^(2*x) + b*e^(2*x) + a - b)^2)","B",0
705,1,251,0,0.146129," ","integrate(cosh(x)^3/(a*cosh(x)+b*sinh(x))^3,x, algorithm=""giac"")","-\frac{{\left(3 \, a^{2} b + b^{3}\right)} \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{x}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} + \frac{9 \, a^{3} b e^{\left(4 \, x\right)} + 9 \, a^{2} b^{2} e^{\left(4 \, x\right)} + 3 \, a b^{3} e^{\left(4 \, x\right)} + 3 \, b^{4} e^{\left(4 \, x\right)} + 18 \, a^{3} b e^{\left(2 \, x\right)} - 6 \, a^{2} b^{2} e^{\left(2 \, x\right)} - 10 \, a b^{3} e^{\left(2 \, x\right)} - 2 \, b^{4} e^{\left(2 \, x\right)} + 9 \, a^{3} b - 15 \, a^{2} b^{2} + 3 \, a b^{3} + 3 \, b^{4}}{2 \, {\left(a^{5} - a^{4} b - 2 \, a^{3} b^{2} + 2 \, a^{2} b^{3} + a b^{4} - b^{5}\right)} {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)}^{2}}"," ",0,"-(3*a^2*b + b^3)*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) + x/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + 1/2*(9*a^3*b*e^(4*x) + 9*a^2*b^2*e^(4*x) + 3*a*b^3*e^(4*x) + 3*b^4*e^(4*x) + 18*a^3*b*e^(2*x) - 6*a^2*b^2*e^(2*x) - 10*a*b^3*e^(2*x) - 2*b^4*e^(2*x) + 9*a^3*b - 15*a^2*b^2 + 3*a*b^3 + 3*b^4)/((a^5 - a^4*b - 2*a^3*b^2 + 2*a^2*b^3 + a*b^4 - b^5)*(a*e^(2*x) + b*e^(2*x) + a - b)^2)","B",0
706,1,60,0,0.120535," ","integrate(cosh(x)*sinh(x)/(a*cosh(x)+b*sinh(x)),x, algorithm=""giac"")","\frac{2 \, a b \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{2} - b^{2}\right)}^{\frac{3}{2}}} + \frac{e^{\left(-x\right)}}{2 \, {\left(a - b\right)}} + \frac{e^{x}}{2 \, {\left(a + b\right)}}"," ",0,"2*a*b*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/(a^2 - b^2)^(3/2) + 1/2*e^(-x)/(a - b) + 1/2*e^x/(a + b)","A",0
707,1,101,0,0.114984," ","integrate(cosh(x)*sinh(x)^2/(a*cosh(x)+b*sinh(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
708,1,163,0,0.125647," ","integrate(cosh(x)*sinh(x)^3/(a*cosh(x)+b*sinh(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
709,1,102,0,0.116826," ","integrate(cosh(x)^2*sinh(x)/(a*cosh(x)+b*sinh(x)),x, algorithm=""giac"")","-\frac{a b^{2} \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{b x}{2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}} - \frac{{\left(2 \, 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,"-a*b^2*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^4 - 2*a^2*b^2 + b^4) + 1/2*b*x/(a^2 - 2*a*b + b^2) - 1/8*(2*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
710,1,159,0,0.122703," ","integrate(cosh(x)^2*sinh(x)^2/(a*cosh(x)+b*sinh(x)),x, algorithm=""giac"")","\frac{2 \, a^{2} b^{2} \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(3 \, 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)} - 3 \, a^{2} 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^2*b^2*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*(3*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) - 3*a^2*e^x + 3*b^2*e^x)/(a^3 + 3*a^2*b + 3*a*b^2 + b^3)","A",0
711,1,199,0,0.122841," ","integrate(cosh(x)^2*sinh(x)^3/(a*cosh(x)+b*sinh(x)),x, algorithm=""giac"")","\frac{a^{3} b^{2} \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 b - b^{2}\right)} x}{8 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)}} + \frac{{\left(18 \, a b e^{\left(4 \, x\right)} - 6 \, b^{2} e^{\left(4 \, x\right)} - 4 \, a^{2} e^{\left(2 \, x\right)} + 4 \, a b 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)} - 4 \, a e^{\left(2 \, x\right)}}{64 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}}"," ",0,"a^3*b^2*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*b - b^2)*x/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + 1/64*(18*a*b*e^(4*x) - 6*b^2*e^(4*x) - 4*a^2*e^(2*x) + 4*a*b*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) - 4*a*e^(2*x))/(a^2 + 2*a*b + b^2)","A",0
712,1,163,0,0.135381," ","integrate(cosh(x)^3*sinh(x)/(a*cosh(x)+b*sinh(x)),x, algorithm=""giac"")","-\frac{2 \, a b^{3} \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(3 \, a e^{\left(2 \, x\right)} - 9 \, 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)} + 3 \, a^{2} e^{x} + 12 \, a b e^{x} + 9 \, b^{2} e^{x}}{24 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)}}"," ",0,"-2*a*b^3*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*(3*a*e^(2*x) - 9*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) + 3*a^2*e^x + 12*a*b*e^x + 9*b^2*e^x)/(a^3 + 3*a^2*b + 3*a*b^2 + b^3)","A",0
713,1,202,0,0.120672," ","integrate(cosh(x)^3*sinh(x)^2/(a*cosh(x)+b*sinh(x)),x, algorithm=""giac"")","-\frac{a^{2} b^{3} \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(a^{2} - 3 \, a b\right)} x}{8 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)}} + \frac{{\left(6 \, a^{2} e^{\left(4 \, x\right)} - 18 \, a b e^{\left(4 \, x\right)} + 4 \, 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)} + 4 \, b e^{\left(2 \, x\right)}}{64 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}}"," ",0,"-a^2*b^3*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*(a^2 - 3*a*b)*x/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + 1/64*(6*a^2*e^(4*x) - 18*a*b*e^(4*x) + 4*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) + 4*b*e^(2*x))/(a^2 + 2*a*b + b^2)","A",0
714,1,325,0,0.132663," ","integrate(cosh(x)^3*sinh(x)^3/(a*cosh(x)+b*sinh(x)),x, algorithm=""giac"")","\frac{2 \, a^{3} b^{3} \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sqrt{a^{2} - b^{2}}} - \frac{{\left(30 \, a^{2} e^{\left(4 \, x\right)} - 120 \, a b e^{\left(4 \, x\right)} + 30 \, b^{2} e^{\left(4 \, x\right)} + 5 \, a^{2} e^{\left(2 \, x\right)} - 5 \, b^{2} e^{\left(2 \, x\right)} - 3 \, a^{2} + 6 \, a b - 3 \, b^{2}\right)} e^{\left(-5 \, x\right)}}{480 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)}} + \frac{3 \, a^{4} e^{\left(5 \, x\right)} + 12 \, a^{3} b e^{\left(5 \, x\right)} + 18 \, a^{2} b^{2} e^{\left(5 \, x\right)} + 12 \, a b^{3} e^{\left(5 \, x\right)} + 3 \, b^{4} e^{\left(5 \, x\right)} - 5 \, a^{4} e^{\left(3 \, x\right)} - 10 \, a^{3} b e^{\left(3 \, x\right)} + 10 \, a b^{3} e^{\left(3 \, x\right)} + 5 \, b^{4} e^{\left(3 \, x\right)} - 30 \, a^{4} e^{x} - 180 \, a^{3} b e^{x} - 300 \, a^{2} b^{2} e^{x} - 180 \, a b^{3} e^{x} - 30 \, b^{4} e^{x}}{480 \, {\left(a^{5} + 5 \, a^{4} b + 10 \, a^{3} b^{2} + 10 \, a^{2} b^{3} + 5 \, a b^{4} + b^{5}\right)}}"," ",0,"2*a^3*b^3*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sqrt(a^2 - b^2)) - 1/480*(30*a^2*e^(4*x) - 120*a*b*e^(4*x) + 30*b^2*e^(4*x) + 5*a^2*e^(2*x) - 5*b^2*e^(2*x) - 3*a^2 + 6*a*b - 3*b^2)*e^(-5*x)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + 1/480*(3*a^4*e^(5*x) + 12*a^3*b*e^(5*x) + 18*a^2*b^2*e^(5*x) + 12*a*b^3*e^(5*x) + 3*b^4*e^(5*x) - 5*a^4*e^(3*x) - 10*a^3*b*e^(3*x) + 10*a*b^3*e^(3*x) + 5*b^4*e^(3*x) - 30*a^4*e^x - 180*a^3*b*e^x - 300*a^2*b^2*e^x - 180*a*b^3*e^x - 30*b^4*e^x)/(a^5 + 5*a^4*b + 10*a^3*b^2 + 10*a^2*b^3 + 5*a*b^4 + b^5)","A",0
715,1,128,0,0.133283," ","integrate(cosh(x)*sinh(x)/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","\frac{{\left(a^{2} + b^{2}\right)} \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{x}{a^{2} - 2 \, a b + b^{2}} - \frac{a^{2} e^{\left(2 \, x\right)} + b^{2} e^{\left(2 \, x\right)} + a^{2} - b^{2}}{{\left(a^{3} - a^{2} b - a b^{2} + b^{3}\right)} {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)}}"," ",0,"(a^2 + b^2)*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^4 - 2*a^2*b^2 + b^4) - x/(a^2 - 2*a*b + b^2) - (a^2*e^(2*x) + b^2*e^(2*x) + a^2 - b^2)/((a^3 - a^2*b - a*b^2 + b^3)*(a*e^(2*x) + b*e^(2*x) + a - b))","A",0
716,1,179,0,0.138290," ","integrate(cosh(x)*sinh(x)^2/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(a^{3} + 2 \, a b^{2}\right)} \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{e^{x}}{2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} - \frac{a^{3} e^{\left(2 \, x\right)} + 7 \, a^{2} b e^{\left(2 \, x\right)} + 3 \, 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}}{2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left(a e^{\left(3 \, x\right)} + b e^{\left(3 \, x\right)} + a e^{x} - b e^{x}\right)}}"," ",0,"-2*(a^3 + 2*a*b^2)*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)) + 1/2*e^x/(a^2 + 2*a*b + b^2) - 1/2*(a^3*e^(2*x) + 7*a^2*b*e^(2*x) + 3*a*b^2*e^(2*x) + b^3*e^(2*x) + a^3 + a^2*b - a*b^2 - b^3)/((a^4 - 2*a^2*b^2 + b^4)*(a*e^(3*x) + b*e^(3*x) + a*e^x - b*e^x))","A",0
717,1,238,0,0.143307," ","integrate(cosh(x)*sinh(x)^3/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","\frac{a x}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} - \frac{{\left(a^{4} + 3 \, a^{2} b^{2}\right)} \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{e^{\left(2 \, x\right)}}{8 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} + \frac{2 \, a^{3} e^{\left(4 \, x\right)} - 4 \, a^{2} b e^{\left(4 \, x\right)} + 2 \, a b^{2} e^{\left(4 \, x\right)} + 3 \, a^{3} e^{\left(2 \, x\right)} + 11 \, 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}}{8 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left(a e^{\left(4 \, x\right)} + b e^{\left(4 \, x\right)} + a e^{\left(2 \, x\right)} - b e^{\left(2 \, x\right)}\right)}}"," ",0,"a*x/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) - (a^4 + 3*a^2*b^2)*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*e^(2*x)/(a^2 + 2*a*b + b^2) + 1/8*(2*a^3*e^(4*x) - 4*a^2*b*e^(4*x) + 2*a*b^2*e^(4*x) + 3*a^3*e^(2*x) + 11*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)/((a^4 - 2*a^2*b^2 + b^4)*(a*e^(4*x) + b*e^(4*x) + a*e^(2*x) - b*e^(2*x)))","A",0
718,1,179,0,0.157139," ","integrate(cosh(x)^2*sinh(x)/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","\frac{2 \, {\left(2 \, a^{2} b + b^{3}\right)} \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{e^{x}}{2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} + \frac{a^{3} e^{\left(2 \, x\right)} + 3 \, a^{2} b e^{\left(2 \, x\right)} + 7 \, 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}}{2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left(a e^{\left(3 \, x\right)} + b e^{\left(3 \, x\right)} + a e^{x} - b e^{x}\right)}}"," ",0,"2*(2*a^2*b + b^3)*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)) + 1/2*e^x/(a^2 + 2*a*b + b^2) + 1/2*(a^3*e^(2*x) + 3*a^2*b*e^(2*x) + 7*a*b^2*e^(2*x) + b^3*e^(2*x) + a^3 + a^2*b - a*b^2 - b^3)/((a^4 - 2*a^2*b^2 + b^4)*(a*e^(3*x) + b*e^(3*x) + a*e^x - b*e^x))","A",0
719,1,232,0,0.153625," ","integrate(cosh(x)^2*sinh(x)^2/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{{\left(a + b\right)} x}{2 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)}} + \frac{2 \, {\left(a^{3} b + a b^{3}\right)} \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{e^{\left(2 \, x\right)}}{8 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} + \frac{a^{3} e^{\left(4 \, x\right)} - 3 \, a^{2} b e^{\left(4 \, x\right)} + 3 \, a b^{2} e^{\left(4 \, x\right)} - b^{3} e^{\left(4 \, x\right)} - 8 \, a^{2} b e^{\left(2 \, x\right)} - 8 \, a b^{2} e^{\left(2 \, x\right)} - a^{3} - a^{2} b + a b^{2} + b^{3}}{8 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left(a e^{\left(4 \, x\right)} + b e^{\left(4 \, x\right)} + a e^{\left(2 \, x\right)} - b e^{\left(2 \, x\right)}\right)}}"," ",0,"-1/2*(a + b)*x/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + 2*(a^3*b + a*b^3)*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*e^(2*x)/(a^2 + 2*a*b + b^2) + 1/8*(a^3*e^(4*x) - 3*a^2*b*e^(4*x) + 3*a*b^2*e^(4*x) - b^3*e^(4*x) - 8*a^2*b*e^(2*x) - 8*a*b^2*e^(2*x) - a^3 - a^2*b + a*b^2 + b^3)/((a^4 - 2*a^2*b^2 + b^4)*(a*e^(4*x) + b*e^(4*x) + a*e^(2*x) - b*e^(2*x)))","A",0
720,1,310,0,0.154498," ","integrate(cosh(x)^2*sinh(x)^3/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{2 \, a^{3} b^{2} e^{x}}{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)}} - \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^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)}} - \frac{2 \, {\left(2 \, a^{4} b + 3 \, a^{2} b^{3}\right)} \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sqrt{a^{2} - b^{2}}} + \frac{a^{4} e^{\left(3 \, x\right)} + 4 \, a^{3} b e^{\left(3 \, x\right)} + 6 \, a^{2} b^{2} e^{\left(3 \, x\right)} + 4 \, a b^{3} e^{\left(3 \, x\right)} + b^{4} e^{\left(3 \, x\right)} - 9 \, a^{4} e^{x} - 24 \, a^{3} b e^{x} - 18 \, a^{2} b^{2} e^{x} + 3 \, b^{4} e^{x}}{24 \, {\left(a^{6} + 6 \, a^{5} b + 15 \, a^{4} b^{2} + 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} + 6 \, a b^{5} + b^{6}\right)}}"," ",0,"-2*a^3*b^2*e^x/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*(a*e^(2*x) + b*e^(2*x) + a - b)) - 1/24*(9*a*e^(2*x) + 3*b*e^(2*x) - a + b)*e^(-3*x)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) - 2*(2*a^4*b + 3*a^2*b^3)*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sqrt(a^2 - b^2)) + 1/24*(a^4*e^(3*x) + 4*a^3*b*e^(3*x) + 6*a^2*b^2*e^(3*x) + 4*a*b^3*e^(3*x) + b^4*e^(3*x) - 9*a^4*e^x - 24*a^3*b*e^x - 18*a^2*b^2*e^x + 3*b^4*e^x)/(a^6 + 6*a^5*b + 15*a^4*b^2 + 20*a^3*b^3 + 15*a^2*b^4 + 6*a*b^5 + b^6)","A",0
721,1,240,0,0.129401," ","integrate(cosh(x)^3*sinh(x)/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","\frac{b x}{a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}} - \frac{{\left(3 \, a^{2} b^{2} + b^{4}\right)} \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{e^{\left(2 \, x\right)}}{8 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} - \frac{2 \, a^{2} b e^{\left(4 \, x\right)} - 4 \, a b^{2} e^{\left(4 \, x\right)} + 2 \, b^{3} e^{\left(4 \, x\right)} - a^{3} e^{\left(2 \, x\right)} - a^{2} b e^{\left(2 \, x\right)} - 11 \, a b^{2} e^{\left(2 \, x\right)} - 3 \, b^{3} e^{\left(2 \, x\right)} - a^{3} - a^{2} b + a b^{2} + b^{3}}{8 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left(a e^{\left(4 \, x\right)} + b e^{\left(4 \, x\right)} + a e^{\left(2 \, x\right)} - b e^{\left(2 \, x\right)}\right)}}"," ",0,"b*x/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) - (3*a^2*b^2 + b^4)*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*e^(2*x)/(a^2 + 2*a*b + b^2) - 1/8*(2*a^2*b*e^(4*x) - 4*a*b^2*e^(4*x) + 2*b^3*e^(4*x) - a^3*e^(2*x) - a^2*b*e^(2*x) - 11*a*b^2*e^(2*x) - 3*b^3*e^(2*x) - a^3 - a^2*b + a*b^2 + b^3)/((a^4 - 2*a^2*b^2 + b^4)*(a*e^(4*x) + b*e^(4*x) + a*e^(2*x) - b*e^(2*x)))","A",0
722,1,310,0,0.149579," ","integrate(cosh(x)^3*sinh(x)^2/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","\frac{2 \, a^{2} b^{3} e^{x}}{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)}} + \frac{{\left(3 \, a e^{\left(2 \, x\right)} + 9 \, b e^{\left(2 \, x\right)} - a + b\right)} e^{\left(-3 \, x\right)}}{24 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)}} + \frac{2 \, {\left(3 \, a^{3} b^{2} + 2 \, a b^{4}\right)} \arctan\left(\frac{a e^{x} + b e^{x}}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sqrt{a^{2} - b^{2}}} + \frac{a^{4} e^{\left(3 \, x\right)} + 4 \, a^{3} b e^{\left(3 \, x\right)} + 6 \, a^{2} b^{2} e^{\left(3 \, x\right)} + 4 \, a b^{3} e^{\left(3 \, x\right)} + b^{4} e^{\left(3 \, x\right)} - 3 \, a^{4} e^{x} + 18 \, a^{2} b^{2} e^{x} + 24 \, a b^{3} e^{x} + 9 \, b^{4} e^{x}}{24 \, {\left(a^{6} + 6 \, a^{5} b + 15 \, a^{4} b^{2} + 20 \, a^{3} b^{3} + 15 \, a^{2} b^{4} + 6 \, a b^{5} + b^{6}\right)}}"," ",0,"2*a^2*b^3*e^x/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*(a*e^(2*x) + b*e^(2*x) + a - b)) + 1/24*(3*a*e^(2*x) + 9*b*e^(2*x) - a + b)*e^(-3*x)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + 2*(3*a^3*b^2 + 2*a*b^4)*arctan((a*e^x + b*e^x)/sqrt(a^2 - b^2))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sqrt(a^2 - b^2)) + 1/24*(a^4*e^(3*x) + 4*a^3*b*e^(3*x) + 6*a^2*b^2*e^(3*x) + 4*a*b^3*e^(3*x) + b^4*e^(3*x) - 3*a^4*e^x + 18*a^2*b^2*e^x + 24*a*b^3*e^x + 9*b^4*e^x)/(a^6 + 6*a^5*b + 15*a^4*b^2 + 20*a^3*b^3 + 15*a^2*b^4 + 6*a*b^5 + b^6)","A",0
723,1,384,0,0.148577," ","integrate(cosh(x)^3*sinh(x)^3/(a*cosh(x)+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{3 \, a b x}{4 \, {\left(a^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)}} + \frac{{\left(36 \, a b e^{\left(4 \, x\right)} - 4 \, a^{2} 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^{4} - 4 \, a^{3} b + 6 \, a^{2} b^{2} - 4 \, a b^{3} + b^{4}\right)}} + \frac{3 \, {\left(a^{4} b^{2} + a^{2} b^{4}\right)} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\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{a^{2} e^{\left(4 \, x\right)} + 2 \, a b e^{\left(4 \, x\right)} + b^{2} e^{\left(4 \, x\right)} - 4 \, a^{2} e^{\left(2 \, x\right)} + 4 \, b^{2} e^{\left(2 \, x\right)}}{64 \, {\left(a^{4} + 4 \, a^{3} b + 6 \, a^{2} b^{2} + 4 \, a b^{3} + b^{4}\right)}} - \frac{3 \, a^{5} b^{2} e^{\left(2 \, x\right)} + 3 \, a^{4} b^{3} e^{\left(2 \, x\right)} + 3 \, a^{3} b^{4} e^{\left(2 \, x\right)} + 3 \, a^{2} b^{5} e^{\left(2 \, x\right)} + 3 \, a^{5} b^{2} - a^{4} b^{3} + a^{3} b^{4} - 3 \, a^{2} b^{5}}{{\left(a^{8} - 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} - 4 \, a^{2} b^{6} + b^{8}\right)} {\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b\right)}}"," ",0,"-3/4*a*b*x/(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4) + 1/64*(36*a*b*e^(4*x) - 4*a^2*e^(2*x) + 4*b^2*e^(2*x) + a^2 - 2*a*b + b^2)*e^(-4*x)/(a^4 - 4*a^3*b + 6*a^2*b^2 - 4*a*b^3 + b^4) + 3*(a^4*b^2 + a^2*b^4)*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8) + 1/64*(a^2*e^(4*x) + 2*a*b*e^(4*x) + b^2*e^(4*x) - 4*a^2*e^(2*x) + 4*b^2*e^(2*x))/(a^4 + 4*a^3*b + 6*a^2*b^2 + 4*a*b^3 + b^4) - (3*a^5*b^2*e^(2*x) + 3*a^4*b^3*e^(2*x) + 3*a^3*b^4*e^(2*x) + 3*a^2*b^5*e^(2*x) + 3*a^5*b^2 - a^4*b^3 + a^3*b^4 - 3*a^2*b^5)/((a^8 - 4*a^6*b^2 + 6*a^4*b^4 - 4*a^2*b^6 + b^8)*(a*e^(2*x) + b*e^(2*x) + a - b))","A",0
724,1,80,0,0.116749," ","integrate((A+C*sinh(x))/(b*cosh(x)+c*sinh(x)),x, algorithm=""giac"")","\frac{C b \log\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + b - c\right)}{b^{2} - c^{2}} + \frac{2 \, A \arctan\left(\frac{b e^{x} + c e^{x}}{\sqrt{b^{2} - c^{2}}}\right)}{\sqrt{b^{2} - c^{2}}} - \frac{C x}{b - c}"," ",0,"C*b*log(b*e^(2*x) + c*e^(2*x) + b - c)/(b^2 - c^2) + 2*A*arctan((b*e^x + c*e^x)/sqrt(b^2 - c^2))/sqrt(b^2 - c^2) - C*x/(b - c)","A",0
725,1,83,0,0.121420," ","integrate((A+C*sinh(x))/(b*cosh(x)+c*sinh(x))^2,x, algorithm=""giac"")","-\frac{2 \, C c \arctan\left(\frac{b e^{x} + c e^{x}}{\sqrt{b^{2} - c^{2}}}\right)}{{\left(b^{2} - c^{2}\right)}^{\frac{3}{2}}} - \frac{2 \, {\left(C b e^{x} + A b - A c\right)}}{{\left(b^{2} - c^{2}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + b - c\right)}}"," ",0,"-2*C*c*arctan((b*e^x + c*e^x)/sqrt(b^2 - c^2))/(b^2 - c^2)^(3/2) - 2*(C*b*e^x + A*b - A*c)/((b^2 - c^2)*(b*e^(2*x) + c*e^(2*x) + b - c))","A",0
726,1,152,0,0.128334," ","integrate((A+C*sinh(x))/(b*cosh(x)+c*sinh(x))^3,x, algorithm=""giac"")","\frac{A \arctan\left(\frac{b e^{x} + c e^{x}}{\sqrt{b^{2} - c^{2}}}\right)}{{\left(b^{2} - c^{2}\right)}^{\frac{3}{2}}} + \frac{A b^{2} e^{\left(3 \, x\right)} + 2 \, A b c e^{\left(3 \, x\right)} + A c^{2} e^{\left(3 \, x\right)} - 2 \, C b^{2} e^{\left(2 \, x\right)} + 2 \, C c^{2} e^{\left(2 \, x\right)} - A b^{2} e^{x} + A c^{2} e^{x} + 2 \, C b c - 2 \, C c^{2}}{{\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + b - c\right)}^{2}}"," ",0,"A*arctan((b*e^x + c*e^x)/sqrt(b^2 - c^2))/(b^2 - c^2)^(3/2) + (A*b^2*e^(3*x) + 2*A*b*c*e^(3*x) + A*c^2*e^(3*x) - 2*C*b^2*e^(2*x) + 2*C*c^2*e^(2*x) - A*b^2*e^x + A*c^2*e^x + 2*C*b*c - 2*C*c^2)/((b^3 + b^2*c - b*c^2 - c^3)*(b*e^(2*x) + c*e^(2*x) + b - c)^2)","A",0
727,1,80,0,0.133711," ","integrate((A+B*cosh(x))/(b*cosh(x)+c*sinh(x)),x, algorithm=""giac"")","-\frac{B c \log\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + b - c\right)}{b^{2} - c^{2}} + \frac{2 \, A \arctan\left(\frac{b e^{x} + c e^{x}}{\sqrt{b^{2} - c^{2}}}\right)}{\sqrt{b^{2} - c^{2}}} + \frac{B x}{b - c}"," ",0,"-B*c*log(b*e^(2*x) + c*e^(2*x) + b - c)/(b^2 - c^2) + 2*A*arctan((b*e^x + c*e^x)/sqrt(b^2 - c^2))/sqrt(b^2 - c^2) + B*x/(b - c)","A",0
728,1,83,0,0.129162," ","integrate((A+B*cosh(x))/(b*cosh(x)+c*sinh(x))^2,x, algorithm=""giac"")","\frac{2 \, B b \arctan\left(\frac{b e^{x} + c e^{x}}{\sqrt{b^{2} - c^{2}}}\right)}{{\left(b^{2} - c^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, {\left(B c e^{x} - A b + A c\right)}}{{\left(b^{2} - c^{2}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + b - c\right)}}"," ",0,"2*B*b*arctan((b*e^x + c*e^x)/sqrt(b^2 - c^2))/(b^2 - c^2)^(3/2) + 2*(B*c*e^x - A*b + A*c)/((b^2 - c^2)*(b*e^(2*x) + c*e^(2*x) + b - c))","A",0
729,1,152,0,0.131793," ","integrate((A+B*cosh(x))/(b*cosh(x)+c*sinh(x))^3,x, algorithm=""giac"")","\frac{A \arctan\left(\frac{b e^{x} + c e^{x}}{\sqrt{b^{2} - c^{2}}}\right)}{{\left(b^{2} - c^{2}\right)}^{\frac{3}{2}}} + \frac{A b^{2} e^{\left(3 \, x\right)} + 2 \, A b c e^{\left(3 \, x\right)} + A c^{2} e^{\left(3 \, x\right)} - 2 \, B b^{2} e^{\left(2 \, x\right)} + 2 \, B c^{2} e^{\left(2 \, x\right)} - A b^{2} e^{x} + A c^{2} e^{x} - 2 \, B b^{2} + 2 \, B b c}{{\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + b - c\right)}^{2}}"," ",0,"A*arctan((b*e^x + c*e^x)/sqrt(b^2 - c^2))/(b^2 - c^2)^(3/2) + (A*b^2*e^(3*x) + 2*A*b*c*e^(3*x) + A*c^2*e^(3*x) - 2*B*b^2*e^(2*x) + 2*B*c^2*e^(2*x) - A*b^2*e^x + A*c^2*e^x - 2*B*b^2 + 2*B*b*c)/((b^3 + b^2*c - b*c^2 - c^3)*(b*e^(2*x) + c*e^(2*x) + b - c)^2)","A",0
730,1,6,0,0.108832," ","integrate((cosh(x)+sinh(x))/(cosh(x)-sinh(x)),x, algorithm=""giac"")","\frac{1}{2} \, e^{\left(2 \, x\right)}"," ",0,"1/2*e^(2*x)","A",0
731,1,6,0,0.111250," ","integrate((cosh(x)-sinh(x))/(cosh(x)+sinh(x)),x, algorithm=""giac"")","-\frac{1}{2} \, e^{\left(-2 \, x\right)}"," ",0,"-1/2*e^(-2*x)","A",0
732,1,13,0,0.123368," ","integrate((cosh(x)-I*sinh(x))/(cosh(x)+I*sinh(x)),x, algorithm=""giac"")","i \, x - i \, \log\left(e^{\left(2 \, x\right)} - i\right)"," ",0,"I*x - I*log(e^(2*x) - I)","A",0
733,1,54,0,0.114126," ","integrate((B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x)),x, algorithm=""giac"")","\frac{{\left(B - C\right)} x}{b - c} + \frac{{\left(C b - B c\right)} \log\left({\left| b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + b - c \right|}\right)}{b^{2} - c^{2}}"," ",0,"(B - C)*x/(b - c) + (C*b - B*c)*log(abs(b*e^(2*x) + c*e^(2*x) + b - c))/(b^2 - c^2)","A",0
734,1,88,0,0.120693," ","integrate((B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))^2,x, algorithm=""giac"")","\frac{2 \, {\left(B b - C c\right)} \arctan\left(\frac{b e^{x} + c e^{x}}{\sqrt{b^{2} - c^{2}}}\right)}{{\left(b^{2} - c^{2}\right)}^{\frac{3}{2}}} - \frac{2 \, {\left(C b e^{x} - B c e^{x}\right)}}{{\left(b^{2} - c^{2}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + b - c\right)}}"," ",0,"2*(B*b - C*c)*arctan((b*e^x + c*e^x)/sqrt(b^2 - c^2))/(b^2 - c^2)^(3/2) - 2*(C*b*e^x - B*c*e^x)/((b^2 - c^2)*(b*e^(2*x) + c*e^(2*x) + b - c))","A",0
735,1,70,0,0.136869," ","integrate((B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(B b e^{\left(2 \, x\right)} + C b e^{\left(2 \, x\right)} + B c e^{\left(2 \, x\right)} + C c e^{\left(2 \, x\right)} + B b - C c\right)}}{{\left(b^{2} + 2 \, b c + c^{2}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + b - c\right)}^{2}}"," ",0,"-2*(B*b*e^(2*x) + C*b*e^(2*x) + B*c*e^(2*x) + C*c*e^(2*x) + B*b - C*c)/((b^2 + 2*b*c + c^2)*(b*e^(2*x) + c*e^(2*x) + b - c)^2)","A",0
736,1,89,0,0.134358," ","integrate((A+B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x)),x, algorithm=""giac"")","\frac{2 \, A \arctan\left(\frac{b e^{x} + c e^{x}}{\sqrt{b^{2} - c^{2}}}\right)}{\sqrt{b^{2} - c^{2}}} + \frac{{\left(B - C\right)} x}{b - c} + \frac{{\left(C b - B c\right)} \log\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + b - c\right)}{b^{2} - c^{2}}"," ",0,"2*A*arctan((b*e^x + c*e^x)/sqrt(b^2 - c^2))/sqrt(b^2 - c^2) + (B - C)*x/(b - c) + (C*b - B*c)*log(b*e^(2*x) + c*e^(2*x) + b - c)/(b^2 - c^2)","A",0
737,1,95,0,0.140443," ","integrate((A+B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))^2,x, algorithm=""giac"")","\frac{2 \, {\left(B b - C c\right)} \arctan\left(\frac{b e^{x} + c e^{x}}{\sqrt{b^{2} - c^{2}}}\right)}{{\left(b^{2} - c^{2}\right)}^{\frac{3}{2}}} - \frac{2 \, {\left(C b e^{x} - B c e^{x} + A b - A c\right)}}{{\left(b^{2} - c^{2}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + b - c\right)}}"," ",0,"2*(B*b - C*c)*arctan((b*e^x + c*e^x)/sqrt(b^2 - c^2))/(b^2 - c^2)^(3/2) - 2*(C*b*e^x - B*c*e^x + A*b - A*c)/((b^2 - c^2)*(b*e^(2*x) + c*e^(2*x) + b - c))","A",0
738,1,183,0,0.139645," ","integrate((A+B*cosh(x)+C*sinh(x))/(b*cosh(x)+c*sinh(x))^3,x, algorithm=""giac"")","\frac{A \arctan\left(\frac{b e^{x} + c e^{x}}{\sqrt{b^{2} - c^{2}}}\right)}{{\left(b^{2} - c^{2}\right)}^{\frac{3}{2}}} + \frac{A b^{2} e^{\left(3 \, x\right)} + 2 \, A b c e^{\left(3 \, x\right)} + A c^{2} e^{\left(3 \, x\right)} - 2 \, B b^{2} e^{\left(2 \, x\right)} - 2 \, C b^{2} e^{\left(2 \, x\right)} + 2 \, B c^{2} e^{\left(2 \, x\right)} + 2 \, C c^{2} e^{\left(2 \, x\right)} - A b^{2} e^{x} + A c^{2} e^{x} - 2 \, B b^{2} + 2 \, B b c + 2 \, C b c - 2 \, C c^{2}}{{\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + b - c\right)}^{2}}"," ",0,"A*arctan((b*e^x + c*e^x)/sqrt(b^2 - c^2))/(b^2 - c^2)^(3/2) + (A*b^2*e^(3*x) + 2*A*b*c*e^(3*x) + A*c^2*e^(3*x) - 2*B*b^2*e^(2*x) - 2*C*b^2*e^(2*x) + 2*B*c^2*e^(2*x) + 2*C*c^2*e^(2*x) - A*b^2*e^x + A*c^2*e^x - 2*B*b^2 + 2*B*b*c + 2*C*b*c - 2*C*c^2)/((b^3 + b^2*c - b*c^2 - c^3)*(b*e^(2*x) + c*e^(2*x) + b - c)^2)","A",0
739,1,219,0,0.136115," ","integrate((a+b*cosh(x)+c*sinh(x))^3,x, algorithm=""giac"")","\frac{1}{24} \, b^{3} e^{\left(3 \, x\right)} + \frac{1}{8} \, b^{2} c e^{\left(3 \, x\right)} + \frac{1}{8} \, b c^{2} e^{\left(3 \, x\right)} + \frac{1}{24} \, c^{3} e^{\left(3 \, x\right)} + \frac{3}{8} \, a b^{2} e^{\left(2 \, x\right)} + \frac{3}{4} \, a b c e^{\left(2 \, x\right)} + \frac{3}{8} \, a c^{2} e^{\left(2 \, x\right)} + \frac{3}{2} \, a^{2} b e^{x} + \frac{3}{8} \, b^{3} e^{x} + \frac{3}{2} \, a^{2} c e^{x} + \frac{3}{8} \, b^{2} c e^{x} - \frac{3}{8} \, b c^{2} e^{x} - \frac{3}{8} \, c^{3} e^{x} + \frac{1}{2} \, {\left(2 \, a^{3} + 3 \, a b^{2} - 3 \, a c^{2}\right)} x - \frac{1}{24} \, {\left(b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3} + 9 \, {\left(4 \, a^{2} b + b^{3} - 4 \, a^{2} c - b^{2} c - b c^{2} + c^{3}\right)} e^{\left(2 \, x\right)} + 9 \, {\left(a b^{2} - 2 \, a b c + a c^{2}\right)} e^{x}\right)} e^{\left(-3 \, x\right)}"," ",0,"1/24*b^3*e^(3*x) + 1/8*b^2*c*e^(3*x) + 1/8*b*c^2*e^(3*x) + 1/24*c^3*e^(3*x) + 3/8*a*b^2*e^(2*x) + 3/4*a*b*c*e^(2*x) + 3/8*a*c^2*e^(2*x) + 3/2*a^2*b*e^x + 3/8*b^3*e^x + 3/2*a^2*c*e^x + 3/8*b^2*c*e^x - 3/8*b*c^2*e^x - 3/8*c^3*e^x + 1/2*(2*a^3 + 3*a*b^2 - 3*a*c^2)*x - 1/24*(b^3 - 3*b^2*c + 3*b*c^2 - c^3 + 9*(4*a^2*b + b^3 - 4*a^2*c - b^2*c - b*c^2 + c^3)*e^(2*x) + 9*(a*b^2 - 2*a*b*c + a*c^2)*e^x)*e^(-3*x)","B",0
740,1,83,0,0.112529," ","integrate((a+b*cosh(x)+c*sinh(x))^2,x, algorithm=""giac"")","\frac{1}{8} \, b^{2} e^{\left(2 \, x\right)} + \frac{1}{4} \, b c e^{\left(2 \, x\right)} + \frac{1}{8} \, c^{2} e^{\left(2 \, x\right)} + a b e^{x} + a c e^{x} + \frac{1}{2} \, {\left(2 \, a^{2} + b^{2} - c^{2}\right)} x - \frac{1}{8} \, {\left(b^{2} - 2 \, b c + c^{2} + 8 \, {\left(a b - a c\right)} e^{x}\right)} e^{\left(-2 \, x\right)}"," ",0,"1/8*b^2*e^(2*x) + 1/4*b*c*e^(2*x) + 1/8*c^2*e^(2*x) + a*b*e^x + a*c*e^x + 1/2*(2*a^2 + b^2 - c^2)*x - 1/8*(b^2 - 2*b*c + c^2 + 8*(a*b - a*c)*e^x)*e^(-2*x)","A",0
741,1,26,0,0.113164," ","integrate(a+b*cosh(x)+c*sinh(x),x, algorithm=""giac"")","a x + \frac{1}{2} \, c {\left(e^{\left(-x\right)} + e^{x}\right)} - \frac{1}{2} \, b {\left(e^{\left(-x\right)} - e^{x}\right)}"," ",0,"a*x + 1/2*c*(e^(-x) + e^x) - 1/2*b*(e^(-x) - e^x)","B",0
742,1,46,0,0.129964," ","integrate(1/(a+b*cosh(x)+c*sinh(x)),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{\sqrt{-a^{2} + b^{2} - c^{2}}}"," ",0,"2*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/sqrt(-a^2 + b^2 - c^2)","A",0
743,1,111,0,0.122903," ","integrate(1/(a+b*cosh(x)+c*sinh(x))^2,x, algorithm=""giac"")","\frac{2 \, a \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{{\left(a^{2} - b^{2} + c^{2}\right)} \sqrt{-a^{2} + b^{2} - c^{2}}} + \frac{2 \, {\left(a e^{x} + b - c\right)}}{{\left(a^{2} - b^{2} + c^{2}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}}"," ",0,"2*a*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/((a^2 - b^2 + c^2)*sqrt(-a^2 + b^2 - c^2)) + 2*(a*e^x + b - c)/((a^2 - b^2 + c^2)*(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c))","A",0
744,1,304,0,0.134687," ","integrate(1/(a+b*cosh(x)+c*sinh(x))^3,x, algorithm=""giac"")","\frac{{\left(2 \, a^{2} + b^{2} - c^{2}\right)} \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b^{2} c^{2} + c^{4}\right)} \sqrt{-a^{2} + b^{2} - c^{2}}} + \frac{2 \, a^{2} b e^{\left(3 \, x\right)} + b^{3} e^{\left(3 \, x\right)} + 2 \, a^{2} c e^{\left(3 \, x\right)} + b^{2} c e^{\left(3 \, x\right)} - b c^{2} e^{\left(3 \, x\right)} - c^{3} e^{\left(3 \, x\right)} + 6 \, a^{3} e^{\left(2 \, x\right)} + 3 \, a b^{2} e^{\left(2 \, x\right)} - 3 \, a c^{2} e^{\left(2 \, x\right)} + 10 \, a^{2} b e^{x} - b^{3} e^{x} - 10 \, a^{2} c e^{x} + b^{2} c e^{x} + b c^{2} e^{x} - c^{3} e^{x} + 3 \, a b^{2} - 6 \, a b c + 3 \, a c^{2}}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b^{2} c^{2} + c^{4}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}^{2}}"," ",0,"(2*a^2 + b^2 - c^2)*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/((a^4 - 2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b^2*c^2 + c^4)*sqrt(-a^2 + b^2 - c^2)) + (2*a^2*b*e^(3*x) + b^3*e^(3*x) + 2*a^2*c*e^(3*x) + b^2*c*e^(3*x) - b*c^2*e^(3*x) - c^3*e^(3*x) + 6*a^3*e^(2*x) + 3*a*b^2*e^(2*x) - 3*a*c^2*e^(2*x) + 10*a^2*b*e^x - b^3*e^x - 10*a^2*c*e^x + b^2*c*e^x + b*c^2*e^x - c^3*e^x + 3*a*b^2 - 6*a*b*c + 3*a*c^2)/((a^4 - 2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b^2*c^2 + c^4)*(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c)^2)","B",0
745,1,717,0,0.178631," ","integrate(1/(a+b*cosh(x)+c*sinh(x))^4,x, algorithm=""giac"")","\frac{{\left(2 \, a^{3} + 3 \, a b^{2} - 3 \, a c^{2}\right)} \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 3 \, a^{4} c^{2} - 6 \, a^{2} b^{2} c^{2} + 3 \, b^{4} c^{2} + 3 \, a^{2} c^{4} - 3 \, b^{2} c^{4} + c^{6}\right)} \sqrt{-a^{2} + b^{2} - c^{2}}} + \frac{6 \, a^{3} b^{2} e^{\left(5 \, x\right)} + 9 \, a b^{4} e^{\left(5 \, x\right)} + 12 \, a^{3} b c e^{\left(5 \, x\right)} + 18 \, a b^{3} c e^{\left(5 \, x\right)} + 6 \, a^{3} c^{2} e^{\left(5 \, x\right)} - 18 \, a b c^{3} e^{\left(5 \, x\right)} - 9 \, a c^{4} e^{\left(5 \, x\right)} + 30 \, a^{4} b e^{\left(4 \, x\right)} + 45 \, a^{2} b^{3} e^{\left(4 \, x\right)} + 30 \, a^{4} c e^{\left(4 \, x\right)} + 45 \, a^{2} b^{2} c e^{\left(4 \, x\right)} - 45 \, a^{2} b c^{2} e^{\left(4 \, x\right)} - 45 \, a^{2} c^{3} e^{\left(4 \, x\right)} + 44 \, a^{5} e^{\left(3 \, x\right)} + 82 \, a^{3} b^{2} e^{\left(3 \, x\right)} + 24 \, a b^{4} e^{\left(3 \, x\right)} - 82 \, a^{3} c^{2} e^{\left(3 \, x\right)} - 48 \, a b^{2} c^{2} e^{\left(3 \, x\right)} + 24 \, a c^{4} e^{\left(3 \, x\right)} + 102 \, a^{4} b e^{\left(2 \, x\right)} + 36 \, a^{2} b^{3} e^{\left(2 \, x\right)} + 12 \, b^{5} e^{\left(2 \, x\right)} - 102 \, a^{4} c e^{\left(2 \, x\right)} - 36 \, a^{2} b^{2} c e^{\left(2 \, x\right)} - 12 \, b^{4} c e^{\left(2 \, x\right)} - 36 \, a^{2} b c^{2} e^{\left(2 \, x\right)} - 24 \, b^{3} c^{2} e^{\left(2 \, x\right)} + 36 \, a^{2} c^{3} e^{\left(2 \, x\right)} + 24 \, b^{2} c^{3} e^{\left(2 \, x\right)} + 12 \, b c^{4} e^{\left(2 \, x\right)} - 12 \, c^{5} e^{\left(2 \, x\right)} + 60 \, a^{3} b^{2} e^{x} + 15 \, a b^{4} e^{x} - 120 \, a^{3} b c e^{x} - 30 \, a b^{3} c e^{x} + 60 \, a^{3} c^{2} e^{x} + 30 \, a b c^{3} e^{x} - 15 \, a c^{4} e^{x} + 11 \, a^{2} b^{3} + 4 \, b^{5} - 33 \, a^{2} b^{2} c - 12 \, b^{4} c + 33 \, a^{2} b c^{2} + 8 \, b^{3} c^{2} - 11 \, a^{2} c^{3} + 8 \, b^{2} c^{3} - 12 \, b c^{4} + 4 \, c^{5}}{3 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6} + 3 \, a^{4} c^{2} - 6 \, a^{2} b^{2} c^{2} + 3 \, b^{4} c^{2} + 3 \, a^{2} c^{4} - 3 \, b^{2} c^{4} + c^{6}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}^{3}}"," ",0,"(2*a^3 + 3*a*b^2 - 3*a*c^2)*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 3*a^4*c^2 - 6*a^2*b^2*c^2 + 3*b^4*c^2 + 3*a^2*c^4 - 3*b^2*c^4 + c^6)*sqrt(-a^2 + b^2 - c^2)) + 1/3*(6*a^3*b^2*e^(5*x) + 9*a*b^4*e^(5*x) + 12*a^3*b*c*e^(5*x) + 18*a*b^3*c*e^(5*x) + 6*a^3*c^2*e^(5*x) - 18*a*b*c^3*e^(5*x) - 9*a*c^4*e^(5*x) + 30*a^4*b*e^(4*x) + 45*a^2*b^3*e^(4*x) + 30*a^4*c*e^(4*x) + 45*a^2*b^2*c*e^(4*x) - 45*a^2*b*c^2*e^(4*x) - 45*a^2*c^3*e^(4*x) + 44*a^5*e^(3*x) + 82*a^3*b^2*e^(3*x) + 24*a*b^4*e^(3*x) - 82*a^3*c^2*e^(3*x) - 48*a*b^2*c^2*e^(3*x) + 24*a*c^4*e^(3*x) + 102*a^4*b*e^(2*x) + 36*a^2*b^3*e^(2*x) + 12*b^5*e^(2*x) - 102*a^4*c*e^(2*x) - 36*a^2*b^2*c*e^(2*x) - 12*b^4*c*e^(2*x) - 36*a^2*b*c^2*e^(2*x) - 24*b^3*c^2*e^(2*x) + 36*a^2*c^3*e^(2*x) + 24*b^2*c^3*e^(2*x) + 12*b*c^4*e^(2*x) - 12*c^5*e^(2*x) + 60*a^3*b^2*e^x + 15*a*b^4*e^x - 120*a^3*b*c*e^x - 30*a*b^3*c*e^x + 60*a^3*c^2*e^x + 30*a*b*c^3*e^x - 15*a*c^4*e^x + 11*a^2*b^3 + 4*b^5 - 33*a^2*b^2*c - 12*b^4*c + 33*a^2*b*c^2 + 8*b^3*c^2 - 11*a^2*c^3 + 8*b^2*c^3 - 12*b*c^4 + 4*c^5)/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6 + 3*a^4*c^2 - 6*a^2*b^2*c^2 + 3*b^4*c^2 + 3*a^2*c^4 - 3*b^2*c^4 + c^6)*(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c)^3)","B",0
746,1,186,0,0.117825," ","integrate((a+a*cosh(x)+c*sinh(x))^3,x, algorithm=""giac"")","\frac{1}{24} \, a^{3} e^{\left(3 \, x\right)} + \frac{1}{8} \, a^{2} c e^{\left(3 \, x\right)} + \frac{1}{8} \, a c^{2} e^{\left(3 \, x\right)} + \frac{1}{24} \, c^{3} e^{\left(3 \, x\right)} + \frac{3}{8} \, a^{3} e^{\left(2 \, x\right)} + \frac{3}{4} \, a^{2} c e^{\left(2 \, x\right)} + \frac{3}{8} \, a c^{2} e^{\left(2 \, x\right)} + \frac{15}{8} \, a^{3} e^{x} + \frac{15}{8} \, a^{2} c e^{x} - \frac{3}{8} \, a c^{2} e^{x} - \frac{3}{8} \, c^{3} e^{x} + \frac{1}{2} \, {\left(5 \, a^{3} - 3 \, a c^{2}\right)} x - \frac{1}{24} \, {\left(a^{3} - 3 \, a^{2} c + 3 \, a c^{2} - c^{3} + 9 \, {\left(5 \, a^{3} - 5 \, a^{2} c - a c^{2} + c^{3}\right)} e^{\left(2 \, x\right)} + 9 \, {\left(a^{3} - 2 \, a^{2} c + a c^{2}\right)} e^{x}\right)} e^{\left(-3 \, x\right)}"," ",0,"1/24*a^3*e^(3*x) + 1/8*a^2*c*e^(3*x) + 1/8*a*c^2*e^(3*x) + 1/24*c^3*e^(3*x) + 3/8*a^3*e^(2*x) + 3/4*a^2*c*e^(2*x) + 3/8*a*c^2*e^(2*x) + 15/8*a^3*e^x + 15/8*a^2*c*e^x - 3/8*a*c^2*e^x - 3/8*c^3*e^x + 1/2*(5*a^3 - 3*a*c^2)*x - 1/24*(a^3 - 3*a^2*c + 3*a*c^2 - c^3 + 9*(5*a^3 - 5*a^2*c - a*c^2 + c^3)*e^(2*x) + 9*(a^3 - 2*a^2*c + a*c^2)*e^x)*e^(-3*x)","A",0
747,1,81,0,0.133572," ","integrate((a+a*cosh(x)+c*sinh(x))^2,x, algorithm=""giac"")","\frac{1}{8} \, a^{2} e^{\left(2 \, x\right)} + \frac{1}{4} \, a c e^{\left(2 \, x\right)} + \frac{1}{8} \, c^{2} e^{\left(2 \, x\right)} + a^{2} e^{x} + a c e^{x} + \frac{1}{2} \, {\left(3 \, a^{2} - c^{2}\right)} x - \frac{1}{8} \, {\left(a^{2} - 2 \, a c + c^{2} + 8 \, {\left(a^{2} - a c\right)} e^{x}\right)} e^{\left(-2 \, x\right)}"," ",0,"1/8*a^2*e^(2*x) + 1/4*a*c*e^(2*x) + 1/8*c^2*e^(2*x) + a^2*e^x + a*c*e^x + 1/2*(3*a^2 - c^2)*x - 1/8*(a^2 - 2*a*c + c^2 + 8*(a^2 - a*c)*e^x)*e^(-2*x)","A",0
748,1,26,0,0.115903," ","integrate(a+a*cosh(x)+c*sinh(x),x, algorithm=""giac"")","a x + \frac{1}{2} \, c {\left(e^{\left(-x\right)} + e^{x}\right)} - \frac{1}{2} \, a {\left(e^{\left(-x\right)} - e^{x}\right)}"," ",0,"a*x + 1/2*c*(e^(-x) + e^x) - 1/2*a*(e^(-x) - e^x)","B",0
749,1,39,0,0.125853," ","integrate(1/(a+a*cosh(x)+c*sinh(x)),x, algorithm=""giac"")","\frac{{\left(a + c\right)} \log\left({\left| a e^{x} + c e^{x} + a - c \right|}\right)}{a c + c^{2}} - \frac{\log\left(e^{x} + 1\right)}{c}"," ",0,"(a + c)*log(abs(a*e^x + c*e^x + a - c))/(a*c + c^2) - log(e^x + 1)/c","B",0
750,1,84,0,0.138025," ","integrate(1/(a+a*cosh(x)+c*sinh(x))^2,x, algorithm=""giac"")","\frac{{\left(a^{2} + a c\right)} \log\left({\left| a e^{x} + c e^{x} + a - c \right|}\right)}{a c^{3} + c^{4}} - \frac{a \log\left(e^{x} + 1\right)}{c^{3}} + \frac{2 \, {\left(a e^{x} + a - c\right)}}{{\left(a e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + a - c\right)} c^{2}}"," ",0,"(a^2 + a*c)*log(abs(a*e^x + c*e^x + a - c))/(a*c^3 + c^4) - a*log(e^x + 1)/c^3 + 2*(a*e^x + a - c)/((a*e^(2*x) + c*e^(2*x) + 2*a*e^x + a - c)*c^2)","B",0
751,1,205,0,0.128312," ","integrate(1/(a+a*cosh(x)+c*sinh(x))^3,x, algorithm=""giac"")","\frac{{\left(3 \, a^{3} + 3 \, a^{2} c - a c^{2} - c^{3}\right)} \log\left({\left| a e^{x} + c e^{x} + a - c \right|}\right)}{2 \, {\left(a c^{5} + c^{6}\right)}} - \frac{{\left(3 \, a^{2} - c^{2}\right)} \log\left(e^{x} + 1\right)}{2 \, c^{5}} + \frac{3 \, a^{3} e^{\left(3 \, x\right)} + 3 \, a^{2} c e^{\left(3 \, x\right)} - a c^{2} e^{\left(3 \, x\right)} - c^{3} e^{\left(3 \, x\right)} + 9 \, a^{3} e^{\left(2 \, x\right)} - 3 \, a c^{2} e^{\left(2 \, x\right)} + 9 \, a^{3} e^{x} - 9 \, a^{2} c e^{x} + a c^{2} e^{x} - c^{3} e^{x} + 3 \, a^{3} - 6 \, a^{2} c + 3 \, a c^{2}}{{\left(a e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + a - c\right)}^{2} c^{4}}"," ",0,"1/2*(3*a^3 + 3*a^2*c - a*c^2 - c^3)*log(abs(a*e^x + c*e^x + a - c))/(a*c^5 + c^6) - 1/2*(3*a^2 - c^2)*log(e^x + 1)/c^5 + (3*a^3*e^(3*x) + 3*a^2*c*e^(3*x) - a*c^2*e^(3*x) - c^3*e^(3*x) + 9*a^3*e^(2*x) - 3*a*c^2*e^(2*x) + 9*a^3*e^x - 9*a^2*c*e^x + a*c^2*e^x - c^3*e^x + 3*a^3 - 6*a^2*c + 3*a*c^2)/((a*e^(2*x) + c*e^(2*x) + 2*a*e^x + a - c)^2*c^4)","B",0
752,1,377,0,0.159755," ","integrate(1/(a+a*cosh(x)+c*sinh(x))^4,x, algorithm=""giac"")","\frac{{\left(5 \, a^{4} + 5 \, a^{3} c - 3 \, a^{2} c^{2} - 3 \, a c^{3}\right)} \log\left({\left| a e^{x} + c e^{x} + a - c \right|}\right)}{2 \, {\left(a c^{7} + c^{8}\right)}} - \frac{{\left(5 \, a^{3} - 3 \, a c^{2}\right)} \log\left(e^{x} + 1\right)}{2 \, c^{7}} + \frac{15 \, a^{5} e^{\left(5 \, x\right)} + 30 \, a^{4} c e^{\left(5 \, x\right)} + 6 \, a^{3} c^{2} e^{\left(5 \, x\right)} - 18 \, a^{2} c^{3} e^{\left(5 \, x\right)} - 9 \, a c^{4} e^{\left(5 \, x\right)} + 75 \, a^{5} e^{\left(4 \, x\right)} + 75 \, a^{4} c e^{\left(4 \, x\right)} - 45 \, a^{3} c^{2} e^{\left(4 \, x\right)} - 45 \, a^{2} c^{3} e^{\left(4 \, x\right)} + 150 \, a^{5} e^{\left(3 \, x\right)} - 130 \, a^{3} c^{2} e^{\left(3 \, x\right)} + 24 \, a c^{4} e^{\left(3 \, x\right)} + 150 \, a^{5} e^{\left(2 \, x\right)} - 150 \, a^{4} c e^{\left(2 \, x\right)} - 60 \, a^{3} c^{2} e^{\left(2 \, x\right)} + 60 \, a^{2} c^{3} e^{\left(2 \, x\right)} + 12 \, a c^{4} e^{\left(2 \, x\right)} - 12 \, c^{5} e^{\left(2 \, x\right)} + 75 \, a^{5} e^{x} - 150 \, a^{4} c e^{x} + 60 \, a^{3} c^{2} e^{x} + 30 \, a^{2} c^{3} e^{x} - 15 \, a c^{4} e^{x} + 15 \, a^{5} - 45 \, a^{4} c + 41 \, a^{3} c^{2} - 3 \, a^{2} c^{3} - 12 \, a c^{4} + 4 \, c^{5}}{3 \, {\left(a e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + a - c\right)}^{3} c^{6}}"," ",0,"1/2*(5*a^4 + 5*a^3*c - 3*a^2*c^2 - 3*a*c^3)*log(abs(a*e^x + c*e^x + a - c))/(a*c^7 + c^8) - 1/2*(5*a^3 - 3*a*c^2)*log(e^x + 1)/c^7 + 1/3*(15*a^5*e^(5*x) + 30*a^4*c*e^(5*x) + 6*a^3*c^2*e^(5*x) - 18*a^2*c^3*e^(5*x) - 9*a*c^4*e^(5*x) + 75*a^5*e^(4*x) + 75*a^4*c*e^(4*x) - 45*a^3*c^2*e^(4*x) - 45*a^2*c^3*e^(4*x) + 150*a^5*e^(3*x) - 130*a^3*c^2*e^(3*x) + 24*a*c^4*e^(3*x) + 150*a^5*e^(2*x) - 150*a^4*c*e^(2*x) - 60*a^3*c^2*e^(2*x) + 60*a^2*c^3*e^(2*x) + 12*a*c^4*e^(2*x) - 12*c^5*e^(2*x) + 75*a^5*e^x - 150*a^4*c*e^x + 60*a^3*c^2*e^x + 30*a^2*c^3*e^x - 15*a*c^4*e^x + 15*a^5 - 45*a^4*c + 41*a^3*c^2 - 3*a^2*c^3 - 12*a*c^4 + 4*c^5)/((a*e^(2*x) + c*e^(2*x) + 2*a*e^x + a - c)^3*c^6)","B",0
753,1,390,0,0.156199," ","integrate((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^4,x, algorithm=""giac"")","\frac{7}{2} \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} \sqrt{b^{2} - c^{2}} e^{x} + \frac{35}{8} \, {\left(b^{4} - 2 \, b^{2} c^{2} + c^{4}\right)} x + \frac{1}{64} \, {\left(b^{4} + 4 \, b^{3} c + 6 \, b^{2} c^{2} + 4 \, b c^{3} + c^{4}\right)} e^{\left(4 \, x\right)} + \frac{1}{6} \, {\left(\sqrt{b^{2} - c^{2}} b^{3} + 3 \, \sqrt{b^{2} - c^{2}} b^{2} c + 3 \, \sqrt{b^{2} - c^{2}} b c^{2} + \sqrt{b^{2} - c^{2}} c^{3}\right)} e^{\left(3 \, x\right)} + \frac{7}{8} \, {\left(b^{4} + 2 \, b^{3} c - 2 \, b c^{3} - c^{4}\right)} e^{\left(2 \, x\right)} - \frac{1}{192} \, {\left(3 \, b^{4} - 12 \, b^{3} c + 18 \, b^{2} c^{2} - 12 \, b c^{3} + 3 \, c^{4} + 672 \, {\left(\sqrt{b^{2} - c^{2}} b^{3} - \sqrt{b^{2} - c^{2}} b^{2} c - \sqrt{b^{2} - c^{2}} b c^{2} + \sqrt{b^{2} - c^{2}} c^{3}\right)} e^{\left(3 \, x\right)} + 168 \, {\left(b^{4} - 2 \, b^{3} c + 2 \, b c^{3} - c^{4}\right)} e^{\left(2 \, x\right)} + 32 \, {\left(\sqrt{b^{2} - c^{2}} b^{3} - 3 \, \sqrt{b^{2} - c^{2}} b^{2} c + 3 \, \sqrt{b^{2} - c^{2}} b c^{2} - \sqrt{b^{2} - c^{2}} c^{3}\right)} e^{x}\right)} e^{\left(-4 \, x\right)}"," ",0,"7/2*(b^3 + b^2*c - b*c^2 - c^3)*sqrt(b^2 - c^2)*e^x + 35/8*(b^4 - 2*b^2*c^2 + c^4)*x + 1/64*(b^4 + 4*b^3*c + 6*b^2*c^2 + 4*b*c^3 + c^4)*e^(4*x) + 1/6*(sqrt(b^2 - c^2)*b^3 + 3*sqrt(b^2 - c^2)*b^2*c + 3*sqrt(b^2 - c^2)*b*c^2 + sqrt(b^2 - c^2)*c^3)*e^(3*x) + 7/8*(b^4 + 2*b^3*c - 2*b*c^3 - c^4)*e^(2*x) - 1/192*(3*b^4 - 12*b^3*c + 18*b^2*c^2 - 12*b*c^3 + 3*c^4 + 672*(sqrt(b^2 - c^2)*b^3 - sqrt(b^2 - c^2)*b^2*c - sqrt(b^2 - c^2)*b*c^2 + sqrt(b^2 - c^2)*c^3)*e^(3*x) + 168*(b^4 - 2*b^3*c + 2*b*c^3 - c^4)*e^(2*x) + 32*(sqrt(b^2 - c^2)*b^3 - 3*sqrt(b^2 - c^2)*b^2*c + 3*sqrt(b^2 - c^2)*b*c^2 - sqrt(b^2 - c^2)*c^3)*e^x)*e^(-4*x)","B",0
754,1,194,0,0.145878," ","integrate((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^3,x, algorithm=""giac"")","\frac{5}{2} \, {\left(b^{2} - c^{2}\right)}^{\frac{3}{2}} x + \frac{3}{8} \, {\left(b^{2} + 2 \, b c + c^{2}\right)} \sqrt{b^{2} - c^{2}} e^{\left(2 \, x\right)} + \frac{1}{24} \, {\left(b^{3} + 3 \, b^{2} c + 3 \, b c^{2} + c^{3}\right)} e^{\left(3 \, x\right)} - \frac{1}{24} \, {\left(b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3} + 45 \, {\left(b^{3} - b^{2} c - b c^{2} + c^{3}\right)} e^{\left(2 \, x\right)} + 9 \, {\left(\sqrt{b^{2} - c^{2}} b^{2} - 2 \, \sqrt{b^{2} - c^{2}} b c + \sqrt{b^{2} - c^{2}} c^{2}\right)} e^{x}\right)} e^{\left(-3 \, x\right)} + \frac{15}{8} \, {\left(b^{3} + b^{2} c - b c^{2} - c^{3}\right)} e^{x}"," ",0,"5/2*(b^2 - c^2)^(3/2)*x + 3/8*(b^2 + 2*b*c + c^2)*sqrt(b^2 - c^2)*e^(2*x) + 1/24*(b^3 + 3*b^2*c + 3*b*c^2 + c^3)*e^(3*x) - 1/24*(b^3 - 3*b^2*c + 3*b*c^2 - c^3 + 45*(b^3 - b^2*c - b*c^2 + c^3)*e^(2*x) + 9*(sqrt(b^2 - c^2)*b^2 - 2*sqrt(b^2 - c^2)*b*c + sqrt(b^2 - c^2)*c^2)*e^x)*e^(-3*x) + 15/8*(b^3 + b^2*c - b*c^2 - c^3)*e^x","A",0
755,1,96,0,0.140656," ","integrate((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^2,x, algorithm=""giac"")","\sqrt{b^{2} - c^{2}} {\left(b + c\right)} e^{x} + \frac{3}{2} \, {\left(b^{2} - c^{2}\right)} x + \frac{1}{8} \, {\left(b^{2} + 2 \, b c + c^{2}\right)} e^{\left(2 \, x\right)} - \frac{1}{8} \, {\left(b^{2} - 2 \, b c + c^{2} + 8 \, {\left(\sqrt{b^{2} - c^{2}} b - \sqrt{b^{2} - c^{2}} c\right)} e^{x}\right)} e^{\left(-2 \, x\right)}"," ",0,"sqrt(b^2 - c^2)*(b + c)*e^x + 3/2*(b^2 - c^2)*x + 1/8*(b^2 + 2*b*c + c^2)*e^(2*x) - 1/8*(b^2 - 2*b*c + c^2 + 8*(sqrt(b^2 - c^2)*b - sqrt(b^2 - c^2)*c)*e^x)*e^(-2*x)","A",0
756,1,36,0,0.126494," ","integrate(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, c {\left(e^{\left(-x\right)} + e^{x}\right)} - \frac{1}{2} \, b {\left(e^{\left(-x\right)} - e^{x}\right)} + \sqrt{b^{2} - c^{2}} x"," ",0,"1/2*c*(e^(-x) + e^x) - 1/2*b*(e^(-x) - e^x) + sqrt(b^2 - c^2)*x","A",0
757,-2,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2)),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to divide, perhaps due to rounding error%%%{%%%{1,[1,0]%%%}+%%%{1,[0,1]%%%},[2]%%%}+%%%{%%{[2,0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[1]%%%}+%%%{%%%{1,[1,0]%%%}+%%%{-1,[0,1]%%%},[0]%%%} / %%%{%%%{1,[2,0]%%%}+%%%{2,[1,1]%%%}+%%%{1,[0,2]%%%},[2]%%%}+%%%{%%{[%%%{2,[1,0]%%%}+%%%{2,[0,1]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[1]%%%}+%%%{%%%{1,[2,0]%%%}+%%%{-1,[0,2]%%%},[0]%%%} Error: Bad Argument Value","F(-2)",0
758,-2,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^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 divide, perhaps due to rounding error%%%{%%%{1,[2,0]%%%}+%%%{2,[1,1]%%%}+%%%{1,[0,2]%%%},[4]%%%}+%%%{%%{[%%%{4,[1,0]%%%}+%%%{4,[0,1]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[3]%%%}+%%%{%%%{6,[2,0]%%%}+%%%{-6,[0,2]%%%},[2]%%%}+%%%{%%{[%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[1]%%%}+%%%{%%%{1,[2,0]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,2]%%%},[0]%%%} / %%%{%%%{1,[4,0]%%%}+%%%{4,[3,1]%%%}+%%%{6,[2,2]%%%}+%%%{4,[1,3]%%%}+%%%{1,[0,4]%%%},[4]%%%}+%%%{%%{[%%%{4,[3,0]%%%}+%%%{12,[2,1]%%%}+%%%{12,[1,2]%%%}+%%%{4,[0,3]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[3]%%%}+%%%{%%%{6,[4,0]%%%}+%%%{12,[3,1]%%%}+%%%{-12,[1,3]%%%}+%%%{-6,[0,4]%%%},[2]%%%}+%%%{%%{[%%%{4,[3,0]%%%}+%%%{4,[2,1]%%%}+%%%{-4,[1,2]%%%}+%%%{-4,[0,3]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[1]%%%}+%%%{%%%{1,[4,0]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[0,4]%%%},[0]%%%} Error: Bad Argument Value","F(-2)",0
759,-2,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^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:Unable to divide, perhaps due to rounding error%%%{%%%{1,[3,0]%%%}+%%%{3,[2,1]%%%}+%%%{3,[1,2]%%%}+%%%{1,[0,3]%%%},[6]%%%}+%%%{%%{[%%%{6,[2,0]%%%}+%%%{12,[1,1]%%%}+%%%{6,[0,2]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[5]%%%}+%%%{%%%{15,[3,0]%%%}+%%%{15,[2,1]%%%}+%%%{-15,[1,2]%%%}+%%%{-15,[0,3]%%%},[4]%%%}+%%%{%%{[%%%{20,[2,0]%%%}+%%%{-20,[0,2]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[3]%%%}+%%%{%%%{15,[3,0]%%%}+%%%{-15,[2,1]%%%}+%%%{-15,[1,2]%%%}+%%%{15,[0,3]%%%},[2]%%%}+%%%{%%{[%%%{6,[2,0]%%%}+%%%{-12,[1,1]%%%}+%%%{6,[0,2]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[1]%%%}+%%%{%%%{1,[3,0]%%%}+%%%{-3,[2,1]%%%}+%%%{3,[1,2]%%%}+%%%{-1,[0,3]%%%},[0]%%%} / %%%{%%%{1,[6,0]%%%}+%%%{6,[5,1]%%%}+%%%{15,[4,2]%%%}+%%%{20,[3,3]%%%}+%%%{15,[2,4]%%%}+%%%{6,[1,5]%%%}+%%%{1,[0,6]%%%},[6]%%%}+%%%{%%{[%%%{6,[5,0]%%%}+%%%{30,[4,1]%%%}+%%%{60,[3,2]%%%}+%%%{60,[2,3]%%%}+%%%{30,[1,4]%%%}+%%%{6,[0,5]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[5]%%%}+%%%{%%%{15,[6,0]%%%}+%%%{60,[5,1]%%%}+%%%{75,[4,2]%%%}+%%%{-75,[2,4]%%%}+%%%{-60,[1,5]%%%}+%%%{-15,[0,6]%%%},[4]%%%}+%%%{%%{[%%%{20,[5,0]%%%}+%%%{60,[4,1]%%%}+%%%{40,[3,2]%%%}+%%%{-40,[2,3]%%%}+%%%{-60,[1,4]%%%}+%%%{-20,[0,5]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[3]%%%}+%%%{%%%{15,[6,0]%%%}+%%%{30,[5,1]%%%}+%%%{-15,[4,2]%%%}+%%%{-60,[3,3]%%%}+%%%{-15,[2,4]%%%}+%%%{30,[1,5]%%%}+%%%{15,[0,6]%%%},[2]%%%}+%%%{%%{[%%%{6,[5,0]%%%}+%%%{6,[4,1]%%%}+%%%{-12,[3,2]%%%}+%%%{-12,[2,3]%%%}+%%%{6,[1,4]%%%}+%%%{6,[0,5]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[1]%%%}+%%%{%%%{1,[6,0]%%%}+%%%{-3,[4,2]%%%}+%%%{3,[2,4]%%%}+%%%{-1,[0,6]%%%},[0]%%%} Error: Bad Argument Value","F(-2)",0
760,-2,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^4,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 divide, perhaps due to rounding error%%%{%%%{1,[4,0]%%%}+%%%{4,[3,1]%%%}+%%%{6,[2,2]%%%}+%%%{4,[1,3]%%%}+%%%{1,[0,4]%%%},[8]%%%}+%%%{%%{[%%%{8,[3,0]%%%}+%%%{24,[2,1]%%%}+%%%{24,[1,2]%%%}+%%%{8,[0,3]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[7]%%%}+%%%{%%%{28,[4,0]%%%}+%%%{56,[3,1]%%%}+%%%{-56,[1,3]%%%}+%%%{-28,[0,4]%%%},[6]%%%}+%%%{%%{[%%%{56,[3,0]%%%}+%%%{56,[2,1]%%%}+%%%{-56,[1,2]%%%}+%%%{-56,[0,3]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[5]%%%}+%%%{%%%{70,[4,0]%%%}+%%%{-140,[2,2]%%%}+%%%{70,[0,4]%%%},[4]%%%}+%%%{%%{[%%%{56,[3,0]%%%}+%%%{-56,[2,1]%%%}+%%%{-56,[1,2]%%%}+%%%{56,[0,3]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[3]%%%}+%%%{%%%{28,[4,0]%%%}+%%%{-56,[3,1]%%%}+%%%{56,[1,3]%%%}+%%%{-28,[0,4]%%%},[2]%%%}+%%%{%%{[%%%{8,[3,0]%%%}+%%%{-24,[2,1]%%%}+%%%{24,[1,2]%%%}+%%%{-8,[0,3]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[1]%%%}+%%%{%%%{1,[4,0]%%%}+%%%{-4,[3,1]%%%}+%%%{6,[2,2]%%%}+%%%{-4,[1,3]%%%}+%%%{1,[0,4]%%%},[0]%%%} / %%%{%%%{1,[8,0]%%%}+%%%{8,[7,1]%%%}+%%%{28,[6,2]%%%}+%%%{56,[5,3]%%%}+%%%{70,[4,4]%%%}+%%%{56,[3,5]%%%}+%%%{28,[2,6]%%%}+%%%{8,[1,7]%%%}+%%%{1,[0,8]%%%},[8]%%%}+%%%{%%{[%%%{8,[7,0]%%%}+%%%{56,[6,1]%%%}+%%%{168,[5,2]%%%}+%%%{280,[4,3]%%%}+%%%{280,[3,4]%%%}+%%%{168,[2,5]%%%}+%%%{56,[1,6]%%%}+%%%{8,[0,7]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[7]%%%}+%%%{%%%{28,[8,0]%%%}+%%%{168,[7,1]%%%}+%%%{392,[6,2]%%%}+%%%{392,[5,3]%%%}+%%%{-392,[3,5]%%%}+%%%{-392,[2,6]%%%}+%%%{-168,[1,7]%%%}+%%%{-28,[0,8]%%%},[6]%%%}+%%%{%%{[%%%{56,[7,0]%%%}+%%%{280,[6,1]%%%}+%%%{504,[5,2]%%%}+%%%{280,[4,3]%%%}+%%%{-280,[3,4]%%%}+%%%{-504,[2,5]%%%}+%%%{-280,[1,6]%%%}+%%%{-56,[0,7]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[5]%%%}+%%%{%%%{70,[8,0]%%%}+%%%{280,[7,1]%%%}+%%%{280,[6,2]%%%}+%%%{-280,[5,3]%%%}+%%%{-700,[4,4]%%%}+%%%{-280,[3,5]%%%}+%%%{280,[2,6]%%%}+%%%{280,[1,7]%%%}+%%%{70,[0,8]%%%},[4]%%%}+%%%{%%{[%%%{56,[7,0]%%%}+%%%{168,[6,1]%%%}+%%%{56,[5,2]%%%}+%%%{-280,[4,3]%%%}+%%%{-280,[3,4]%%%}+%%%{56,[2,5]%%%}+%%%{168,[1,6]%%%}+%%%{56,[0,7]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[3]%%%}+%%%{%%%{28,[8,0]%%%}+%%%{56,[7,1]%%%}+%%%{-56,[6,2]%%%}+%%%{-168,[5,3]%%%}+%%%{168,[3,5]%%%}+%%%{56,[2,6]%%%}+%%%{-56,[1,7]%%%}+%%%{-28,[0,8]%%%},[2]%%%}+%%%{%%{[%%%{8,[7,0]%%%}+%%%{8,[6,1]%%%}+%%%{-24,[5,2]%%%}+%%%{-24,[4,3]%%%}+%%%{24,[3,4]%%%}+%%%{24,[2,5]%%%}+%%%{-8,[1,6]%%%}+%%%{-8,[0,7]%%%},0]:[1,0,%%%{-1,[2,0]%%%}+%%%{1,[0,2]%%%}]%%},[1]%%%}+%%%{%%%{1,[8,0]%%%}+%%%{-4,[6,2]%%%}+%%%{6,[4,4]%%%}+%%%{-4,[2,6]%%%}+%%%{1,[0,8]%%%},[0]%%%} Error: Bad Argument Value","F(-2)",0
761,0,0,0,0.000000," ","integrate((a+b*cosh(x)+c*sinh(x))^(5/2),x, algorithm=""giac"")","\int {\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*cosh(x) + c*sinh(x) + a)^(5/2), x)","F",0
762,0,0,0,0.000000," ","integrate((a+b*cosh(x)+c*sinh(x))^(3/2),x, algorithm=""giac"")","\int {\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*cosh(x) + c*sinh(x) + a)^(3/2), x)","F",0
763,0,0,0,0.000000," ","integrate((a+b*cosh(x)+c*sinh(x))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \cosh\left(x\right) + c \sinh\left(x\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*cosh(x) + c*sinh(x) + a), x)","F",0
764,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)+c*sinh(x))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \cosh\left(x\right) + c \sinh\left(x\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*cosh(x) + c*sinh(x) + a), x)","F",0
765,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)+c*sinh(x))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*cosh(x) + c*sinh(x) + a)^(-3/2), x)","F",0
766,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)+c*sinh(x))^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*cosh(x) + c*sinh(x) + a)^(-5/2), x)","F",0
767,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x)+c*sinh(x))^(7/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \cosh\left(x\right) + c \sinh\left(x\right) + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*cosh(x) + c*sinh(x) + a)^(-7/2), x)","F",0
768,1,657,0,0.328306," ","integrate((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(5/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(3 \, {\left(\sqrt{b^{2} - c^{2}} b^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) + 2 \, \sqrt{b^{2} - c^{2}} b c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) + \sqrt{b^{2} - c^{2}} c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right)\right)} e^{\left(\frac{5}{2} \, x\right)} + 25 \, {\left(b^{3} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) + b^{2} c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) - b c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) - c^{3} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right)\right)} e^{\left(\frac{3}{2} \, x\right)} + 150 \, {\left(\sqrt{b^{2} - c^{2}} b^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) - \sqrt{b^{2} - c^{2}} c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right)\right)} e^{\left(\frac{1}{2} \, x\right)} - 150 \, {\left(b^{3} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) - b^{2} c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) - b c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) + c^{3} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right)\right)} e^{\left(-\frac{1}{2} \, x\right)} - 25 \, {\left(\sqrt{b^{2} - c^{2}} b^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) - 2 \, \sqrt{b^{2} - c^{2}} b c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) + \sqrt{b^{2} - c^{2}} c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right)\right)} e^{\left(-\frac{3}{2} \, x\right)} - 3 \, {\left(b^{3} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) - 3 \, b^{2} c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) + 3 \, b c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) - c^{3} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right)\right)} e^{\left(-\frac{5}{2} \, x\right)}\right)}}{60 \, \sqrt{b - c}}"," ",0,"-1/60*sqrt(2)*(3*(sqrt(b^2 - c^2)*b^2*sgn(-sqrt(b^2 - c^2)*e^x - b + c) + 2*sqrt(b^2 - c^2)*b*c*sgn(-sqrt(b^2 - c^2)*e^x - b + c) + sqrt(b^2 - c^2)*c^2*sgn(-sqrt(b^2 - c^2)*e^x - b + c))*e^(5/2*x) + 25*(b^3*sgn(-sqrt(b^2 - c^2)*e^x - b + c) + b^2*c*sgn(-sqrt(b^2 - c^2)*e^x - b + c) - b*c^2*sgn(-sqrt(b^2 - c^2)*e^x - b + c) - c^3*sgn(-sqrt(b^2 - c^2)*e^x - b + c))*e^(3/2*x) + 150*(sqrt(b^2 - c^2)*b^2*sgn(-sqrt(b^2 - c^2)*e^x - b + c) - sqrt(b^2 - c^2)*c^2*sgn(-sqrt(b^2 - c^2)*e^x - b + c))*e^(1/2*x) - 150*(b^3*sgn(-sqrt(b^2 - c^2)*e^x - b + c) - b^2*c*sgn(-sqrt(b^2 - c^2)*e^x - b + c) - b*c^2*sgn(-sqrt(b^2 - c^2)*e^x - b + c) + c^3*sgn(-sqrt(b^2 - c^2)*e^x - b + c))*e^(-1/2*x) - 25*(sqrt(b^2 - c^2)*b^2*sgn(-sqrt(b^2 - c^2)*e^x - b + c) - 2*sqrt(b^2 - c^2)*b*c*sgn(-sqrt(b^2 - c^2)*e^x - b + c) + sqrt(b^2 - c^2)*c^2*sgn(-sqrt(b^2 - c^2)*e^x - b + c))*e^(-3/2*x) - 3*(b^3*sgn(-sqrt(b^2 - c^2)*e^x - b + c) - 3*b^2*c*sgn(-sqrt(b^2 - c^2)*e^x - b + c) + 3*b*c^2*sgn(-sqrt(b^2 - c^2)*e^x - b + c) - c^3*sgn(-sqrt(b^2 - c^2)*e^x - b + c))*e^(-5/2*x))/sqrt(b - c)","B",0
769,1,303,0,0.245817," ","integrate((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left({\left(\sqrt{b^{2} - c^{2}} b \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) + \sqrt{b^{2} - c^{2}} c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right)\right)} e^{\left(\frac{3}{2} \, x\right)} + 9 \, {\left(b^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) - c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right)\right)} e^{\left(\frac{1}{2} \, x\right)} - 9 \, {\left(\sqrt{b^{2} - c^{2}} b \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) - \sqrt{b^{2} - c^{2}} c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right)\right)} e^{\left(-\frac{1}{2} \, x\right)} - {\left(b^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) - 2 \, b c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) + c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right)\right)} e^{\left(-\frac{3}{2} \, x\right)}\right)}}{6 \, \sqrt{b - c}}"," ",0,"-1/6*sqrt(2)*((sqrt(b^2 - c^2)*b*sgn(-sqrt(b^2 - c^2)*e^x - b + c) + sqrt(b^2 - c^2)*c*sgn(-sqrt(b^2 - c^2)*e^x - b + c))*e^(3/2*x) + 9*(b^2*sgn(-sqrt(b^2 - c^2)*e^x - b + c) - c^2*sgn(-sqrt(b^2 - c^2)*e^x - b + c))*e^(1/2*x) - 9*(sqrt(b^2 - c^2)*b*sgn(-sqrt(b^2 - c^2)*e^x - b + c) - sqrt(b^2 - c^2)*c*sgn(-sqrt(b^2 - c^2)*e^x - b + c))*e^(-1/2*x) - (b^2*sgn(-sqrt(b^2 - c^2)*e^x - b + c) - 2*b*c*sgn(-sqrt(b^2 - c^2)*e^x - b + c) + c^2*sgn(-sqrt(b^2 - c^2)*e^x - b + c))*e^(-3/2*x))/sqrt(b - c)","B",0
770,1,104,0,0.141407," ","integrate((b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\sqrt{b^{2} - c^{2}} e^{\left(\frac{1}{2} \, x\right)} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) - {\left(b \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right) - c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right)\right)} e^{\left(-\frac{1}{2} \, x\right)}\right)}}{\sqrt{b - c}}"," ",0,"-sqrt(2)*(sqrt(b^2 - c^2)*e^(1/2*x)*sgn(-sqrt(b^2 - c^2)*e^x - b + c) - (b*sgn(-sqrt(b^2 - c^2)*e^x - b + c) - c*sgn(-sqrt(b^2 - c^2)*e^x - b + c))*e^(-1/2*x))/sqrt(b - c)","B",0
771,1,297,0,1.478297," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{2} {\left(b^{2} - c^{2} - b + c\right)} \sqrt{b - c} \arctan\left(\frac{b^{3} e^{\left(-\frac{1}{2} \, x\right)} - b^{2} c e^{\left(-\frac{1}{2} \, x\right)} - b c^{2} e^{\left(-\frac{1}{2} \, x\right)} + c^{3} e^{\left(-\frac{1}{2} \, x\right)} - b^{2} e^{\left(-\frac{1}{2} \, x\right)} + 2 \, b c e^{\left(-\frac{1}{2} \, x\right)} - c^{2} e^{\left(-\frac{1}{2} \, x\right)}}{\sqrt{{\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5} - 2 \, b^{4} + 4 \, b^{3} c - 4 \, b c^{3} + 2 \, c^{4} + b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3}\right)} \sqrt{b^{2} - c^{2}}}}\right)}{\sqrt{{\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5} - 2 \, b^{4} + 4 \, b^{3} c - 4 \, b c^{3} + 2 \, c^{4} + b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3}\right)} \sqrt{b^{2} - c^{2}}} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} - b + c\right)}"," ",0,"2*sqrt(2)*(b^2 - c^2 - b + c)*sqrt(b - c)*arctan((b^3*e^(-1/2*x) - b^2*c*e^(-1/2*x) - b*c^2*e^(-1/2*x) + c^3*e^(-1/2*x) - b^2*e^(-1/2*x) + 2*b*c*e^(-1/2*x) - c^2*e^(-1/2*x))/sqrt((b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5 - 2*b^4 + 4*b^3*c - 4*b*c^3 + 2*c^4 + b^3 - 3*b^2*c + 3*b*c^2 - c^3)*sqrt(b^2 - c^2)))/(sqrt((b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5 - 2*b^4 + 4*b^3*c - 4*b*c^3 + 2*c^4 + b^3 - 3*b^2*c + 3*b*c^2 - c^3)*sqrt(b^2 - c^2))*sgn(-sqrt(b^2 - c^2)*e^x - b + c))","B",0
772,-2,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep),abs((-sqrt(b^2-c^2))*t_nostep-b+c)]Evaluation time: 0.58Unable to divide, perhaps due to rounding error%%%{%%%{8,[4,0]%%%}+%%%{16,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{-8,[2,1]%%%}+%%%{-16,[1,3]%%%}+%%%{8,[1,2]%%%}+%%%{-8,[0,4]%%%}+%%%{8,[0,3]%%%},[6,1]%%%}+%%%{%%{[%%%{-12,[1,0]%%%}+%%%{-12,[0,1]%%%},0,%%%{36,[3,0]%%%}+%%%{36,[2,1]%%%}+%%%{12,[2,0]%%%}+%%%{-36,[1,2]%%%}+%%%{-36,[0,3]%%%}+%%%{-12,[0,2]%%%},0]:[1,0,%%%{-2,[2,0]%%%}+%%%{-2,[1,0]%%%}+%%%{2,[0,2]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[4,0]%%%}+%%%{-2,[3,0]%%%}+%%%{-2,[2,2]%%%}+%%%{2,[2,1]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,2]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,4]%%%}+%%%{-2,[0,3]%%%}+%%%{1,[0,2]%%%}]%%},[4,1]%%%}+%%%{%%%{24,[4,0]%%%}+%%%{-24,[3,0]%%%}+%%%{-48,[2,2]%%%}+%%%{24,[2,1]%%%}+%%%{24,[1,2]%%%}+%%%{24,[0,4]%%%}+%%%{-24,[0,3]%%%},[2,1]%%%}+%%%{%%{[%%%{-4,[1,0]%%%}+%%%{4,[0,1]%%%},0,%%%{12,[3,0]%%%}+%%%{-12,[2,1]%%%}+%%%{4,[2,0]%%%}+%%%{-12,[1,2]%%%}+%%%{-8,[1,1]%%%}+%%%{12,[0,3]%%%}+%%%{4,[0,2]%%%},0]:[1,0,%%%{-2,[2,0]%%%}+%%%{-2,[1,0]%%%}+%%%{2,[0,2]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[4,0]%%%}+%%%{-2,[3,0]%%%}+%%%{-2,[2,2]%%%}+%%%{2,[2,1]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,2]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,4]%%%}+%%%{-2,[0,3]%%%}+%%%{1,[0,2]%%%}]%%},[0,1]%%%} / %%%{%%%{8,[9,0]%%%}+%%%{24,[8,1]%%%}+%%%{-24,[8,0]%%%}+%%%{-48,[7,1]%%%}+%%%{24,[7,0]%%%}+%%%{-64,[6,3]%%%}+%%%{48,[6,2]%%%}+%%%{24,[6,1]%%%}+%%%{-8,[6,0]%%%}+%%%{-48,[5,4]%%%}+%%%{144,[5,3]%%%}+%%%{-72,[5,2]%%%}+%%%{48,[4,5]%%%}+%%%{-72,[4,3]%%%}+%%%{24,[4,2]%%%}+%%%{64,[3,6]%%%}+%%%{-144,[3,5]%%%}+%%%{72,[3,4]%%%}+%%%{-48,[2,6]%%%}+%%%{72,[2,5]%%%}+%%%{-24,[2,4]%%%}+%%%{-24,[1,8]%%%}+%%%{48,[1,7]%%%}+%%%{-24,[1,6]%%%}+%%%{-8,[0,9]%%%}+%%%{24,[0,8]%%%}+%%%{-24,[0,7]%%%}+%%%{8,[0,6]%%%},[6,0]%%%}+%%%{%%{[%%%{-12,[6,0]%%%}+%%%{-24,[5,1]%%%}+%%%{24,[5,0]%%%}+%%%{12,[4,2]%%%}+%%%{24,[4,1]%%%}+%%%{-12,[4,0]%%%}+%%%{48,[3,3]%%%}+%%%{-48,[3,2]%%%}+%%%{12,[2,4]%%%}+%%%{-48,[2,3]%%%}+%%%{24,[2,2]%%%}+%%%{-24,[1,5]%%%}+%%%{24,[1,4]%%%}+%%%{-12,[0,6]%%%}+%%%{24,[0,5]%%%}+%%%{-12,[0,4]%%%},0,%%%{36,[8,0]%%%}+%%%{72,[7,1]%%%}+%%%{-60,[7,0]%%%}+%%%{-72,[6,2]%%%}+%%%{-60,[6,1]%%%}+%%%{12,[6,0]%%%}+%%%{-216,[5,3]%%%}+%%%{180,[5,2]%%%}+%%%{12,[5,0]%%%}+%%%{180,[4,3]%%%}+%%%{-36,[4,2]%%%}+%%%{-12,[4,1]%%%}+%%%{216,[3,5]%%%}+%%%{-180,[3,4]%%%}+%%%{-24,[3,2]%%%}+%%%{72,[2,6]%%%}+%%%{-180,[2,5]%%%}+%%%{36,[2,4]%%%}+%%%{24,[2,3]%%%}+%%%{-72,[1,7]%%%}+%%%{60,[1,6]%%%}+%%%{12,[1,4]%%%}+%%%{-36,[0,8]%%%}+%%%{60,[0,7]%%%}+%%%{-12,[0,6]%%%}+%%%{-12,[0,5]%%%},0]:[1,0,%%%{-2,[2,0]%%%}+%%%{-2,[1,0]%%%}+%%%{2,[0,2]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[4,0]%%%}+%%%{-2,[3,0]%%%}+%%%{-2,[2,2]%%%}+%%%{2,[2,1]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,2]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,4]%%%}+%%%{-2,[0,3]%%%}+%%%{1,[0,2]%%%}]%%},[4,0]%%%}+%%%{%%%{24,[9,0]%%%}+%%%{24,[8,1]%%%}+%%%{-72,[8,0]%%%}+%%%{-96,[7,2]%%%}+%%%{72,[7,0]%%%}+%%%{-96,[6,3]%%%}+%%%{288,[6,2]%%%}+%%%{-72,[6,1]%%%}+%%%{-24,[6,0]%%%}+%%%{144,[5,4]%%%}+%%%{-216,[5,2]%%%}+%%%{48,[5,1]%%%}+%%%{144,[4,5]%%%}+%%%{-432,[4,4]%%%}+%%%{216,[4,3]%%%}+%%%{24,[4,2]%%%}+%%%{-96,[3,6]%%%}+%%%{216,[3,4]%%%}+%%%{-96,[3,3]%%%}+%%%{-96,[2,7]%%%}+%%%{288,[2,6]%%%}+%%%{-216,[2,5]%%%}+%%%{24,[2,4]%%%}+%%%{24,[1,8]%%%}+%%%{-72,[1,6]%%%}+%%%{48,[1,5]%%%}+%%%{24,[0,9]%%%}+%%%{-72,[0,8]%%%}+%%%{72,[0,7]%%%}+%%%{-24,[0,6]%%%},[2,0]%%%}+%%%{%%{[%%%{-4,[6,0]%%%}+%%%{8,[5,0]%%%}+%%%{12,[4,2]%%%}+%%%{-8,[4,1]%%%}+%%%{-4,[4,0]%%%}+%%%{-16,[3,2]%%%}+%%%{8,[3,1]%%%}+%%%{-12,[2,4]%%%}+%%%{16,[2,3]%%%}+%%%{8,[1,4]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,5]%%%}+%%%{4,[0,4]%%%},0,%%%{12,[8,0]%%%}+%%%{-20,[7,0]%%%}+%%%{-48,[6,2]%%%}+%%%{20,[6,1]%%%}+%%%{4,[6,0]%%%}+%%%{60,[5,2]%%%}+%%%{-8,[5,1]%%%}+%%%{4,[5,0]%%%}+%%%{72,[4,4]%%%}+%%%{-60,[4,3]%%%}+%%%{-4,[4,2]%%%}+%%%{-12,[4,1]%%%}+%%%{-60,[3,4]%%%}+%%%{16,[3,3]%%%}+%%%{8,[3,2]%%%}+%%%{-48,[2,6]%%%}+%%%{60,[2,5]%%%}+%%%{-4,[2,4]%%%}+%%%{8,[2,3]%%%}+%%%{20,[1,6]%%%}+%%%{-8,[1,5]%%%}+%%%{-12,[1,4]%%%}+%%%{12,[0,8]%%%}+%%%{-20,[0,7]%%%}+%%%{4,[0,6]%%%}+%%%{4,[0,5]%%%},0]:[1,0,%%%{-2,[2,0]%%%}+%%%{-2,[1,0]%%%}+%%%{2,[0,2]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[4,0]%%%}+%%%{-2,[3,0]%%%}+%%%{-2,[2,2]%%%}+%%%{2,[2,1]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,2]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,4]%%%}+%%%{-2,[0,3]%%%}+%%%{1,[0,2]%%%}]%%},[0,0]%%%} Error: Bad Argument Value","F(-2)",0
773,-2,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)+(b^2-c^2)^(1/2))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep),abs((-sqrt(b^2-c^2))*t_nostep-b+c)]Evaluation time: 1.36Unable to divide, perhaps due to rounding error%%%{%%%{32,[5,0]%%%}+%%%{96,[4,1]%%%}+%%%{-32,[4,0]%%%}+%%%{64,[3,2]%%%}+%%%{-64,[3,1]%%%}+%%%{-64,[2,3]%%%}+%%%{-96,[1,4]%%%}+%%%{64,[1,3]%%%}+%%%{-32,[0,5]%%%}+%%%{32,[0,4]%%%},[10,1]%%%}+%%%{%%{[%%%{-80,[2,0]%%%}+%%%{-160,[1,1]%%%}+%%%{-80,[0,2]%%%},0,%%%{240,[4,0]%%%}+%%%{480,[3,1]%%%}+%%%{80,[3,0]%%%}+%%%{80,[2,1]%%%}+%%%{-480,[1,3]%%%}+%%%{-80,[1,2]%%%}+%%%{-240,[0,4]%%%}+%%%{-80,[0,3]%%%},0]:[1,0,%%%{-2,[2,0]%%%}+%%%{-2,[1,0]%%%}+%%%{2,[0,2]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[4,0]%%%}+%%%{-2,[3,0]%%%}+%%%{-2,[2,2]%%%}+%%%{2,[2,1]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,2]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,4]%%%}+%%%{-2,[0,3]%%%}+%%%{1,[0,2]%%%}]%%},[8,1]%%%}+%%%{%%%{320,[5,0]%%%}+%%%{320,[4,1]%%%}+%%%{-320,[4,0]%%%}+%%%{-640,[3,2]%%%}+%%%{-640,[2,3]%%%}+%%%{640,[2,2]%%%}+%%%{320,[1,4]%%%}+%%%{320,[0,5]%%%}+%%%{-320,[0,4]%%%},[6,1]%%%}+%%%{%%{[%%%{-160,[2,0]%%%}+%%%{160,[0,2]%%%},0,%%%{480,[4,0]%%%}+%%%{160,[3,0]%%%}+%%%{-960,[2,2]%%%}+%%%{-160,[2,1]%%%}+%%%{-160,[1,2]%%%}+%%%{480,[0,4]%%%}+%%%{160,[0,3]%%%},0]:[1,0,%%%{-2,[2,0]%%%}+%%%{-2,[1,0]%%%}+%%%{2,[0,2]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[4,0]%%%}+%%%{-2,[3,0]%%%}+%%%{-2,[2,2]%%%}+%%%{2,[2,1]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,2]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,4]%%%}+%%%{-2,[0,3]%%%}+%%%{1,[0,2]%%%}]%%},[4,1]%%%}+%%%{%%%{160,[5,0]%%%}+%%%{-160,[4,1]%%%}+%%%{-160,[4,0]%%%}+%%%{-320,[3,2]%%%}+%%%{320,[3,1]%%%}+%%%{320,[2,3]%%%}+%%%{160,[1,4]%%%}+%%%{-320,[1,3]%%%}+%%%{-160,[0,5]%%%}+%%%{160,[0,4]%%%},[2,1]%%%}+%%%{%%{[%%%{-16,[2,0]%%%}+%%%{32,[1,1]%%%}+%%%{-16,[0,2]%%%},0,%%%{48,[4,0]%%%}+%%%{-96,[3,1]%%%}+%%%{16,[3,0]%%%}+%%%{-48,[2,1]%%%}+%%%{96,[1,3]%%%}+%%%{48,[1,2]%%%}+%%%{-48,[0,4]%%%}+%%%{-16,[0,3]%%%},0]:[1,0,%%%{-2,[2,0]%%%}+%%%{-2,[1,0]%%%}+%%%{2,[0,2]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[4,0]%%%}+%%%{-2,[3,0]%%%}+%%%{-2,[2,2]%%%}+%%%{2,[2,1]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,2]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,4]%%%}+%%%{-2,[0,3]%%%}+%%%{1,[0,2]%%%}]%%},[0,1]%%%} / 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%%{-240,[4,8]%%%}+%%%{640,[4,7]%%%}+%%%{-192,[4,6]%%%}+%%%{-384,[4,5]%%%}+%%%{160,[4,4]%%%}+%%%{320,[3,8]%%%}+%%%{-768,[3,7]%%%}+%%%{512,[3,6]%%%}+%%%{-64,[3,5]%%%}+%%%{96,[2,10]%%%}+%%%{-320,[2,9]%%%}+%%%{288,[2,8]%%%}+%%%{-64,[2,6]%%%}+%%%{-64,[1,10]%%%}+%%%{192,[1,9]%%%}+%%%{-192,[1,8]%%%}+%%%{64,[1,7]%%%}+%%%{-16,[0,12]%%%}+%%%{64,[0,11]%%%}+%%%{-96,[0,10]%%%}+%%%{64,[0,9]%%%}+%%%{-16,[0,8]%%%},0,%%%{48,[14,0]%%%}+%%%{-176,[13,0]%%%}+%%%{-336,[12,2]%%%}+%%%{176,[12,1]%%%}+%%%{224,[12,0]%%%}+%%%{1056,[11,2]%%%}+%%%{-448,[11,1]%%%}+%%%{-96,[11,0]%%%}+%%%{1008,[10,4]%%%}+%%%{-1056,[10,3]%%%}+%%%{-896,[10,2]%%%}+%%%{288,[10,1]%%%}+%%%{-16,[10,0]%%%}+%%%{-2640,[9,4]%%%}+%%%{2240,[9,3]%%%}+%%%{96,[9,2]%%%}+%%%{64,[9,1]%%%}+%%%{16,[9,0]%%%}+%%%{-1680,[8,6]%%%}+%%%{2640,[8,5]%%%}+%%%{1120,[8,4]%%%}+%%%{-1056,[8,3]%%%}+%%%{-48,[8,2]%%%}+%%%{-80,[8,1]%%%}+%%%{3520,[7,6]%%%}+%%%{-4480,[7,5]%%%}+%%%{576,[7,4]%%%}+%%%{-128,[7,3]%%%}+%%%{128,[7,2]%%%}+%%%{1680,[6,8]%%%}+%%%{-3520,[6,7]%%%}+%%%{1344,[6,5]%%%}+%%%{224,[6,4]%%%}+%%%{-2640,[5,8]%%%}+%%%{4480,[5,7]%%%}+%%%{-1344,[5,6]%%%}+%%%{-224,[5,4]%%%}+%%%{-1008,[4,10]%%%}+%%%{2640,[4,9]%%%}+%%%{-1120,[4,8]%%%}+%%%{-576,[4,7]%%%}+%%%{-224,[4,6]%%%}+%%%{224,[4,5]%%%}+%%%{1056,[3,10]%%%}+%%%{-2240,[3,9]%%%}+%%%{1056,[3,8]%%%}+%%%{128,[3,7]%%%}+%%%{336,[2,12]%%%}+%%%{-1056,[2,11]%%%}+%%%{896,[2,10]%%%}+%%%{-96,[2,9]%%%}+%%%{48,[2,8]%%%}+%%%{-128,[2,7]%%%}+%%%{-176,[1,12]%%%}+%%%{448,[1,11]%%%}+%%%{-288,[1,10]%%%}+%%%{-64,[1,9]%%%}+%%%{80,[1,8]%%%}+%%%{-48,[0,14]%%%}+%%%{176,[0,13]%%%}+%%%{-224,[0,12]%%%}+%%%{96,[0,11]%%%}+%%%{16,[0,10]%%%}+%%%{-16,[0,9]%%%},0]:[1,0,%%%{-2,[2,0]%%%}+%%%{-2,[1,0]%%%}+%%%{2,[0,2]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[4,0]%%%}+%%%{-2,[3,0]%%%}+%%%{-2,[2,2]%%%}+%%%{2,[2,1]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,2]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,4]%%%}+%%%{-2,[0,3]%%%}+%%%{1,[0,2]%%%}]%%},[0,0]%%%} Error: Bad Argument Value","F(-2)",0
774,1,657,0,0.313601," ","integrate((b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(5/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(3 \, {\left(\sqrt{b^{2} - c^{2}} b^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) + 2 \, \sqrt{b^{2} - c^{2}} b c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) + \sqrt{b^{2} - c^{2}} c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right)\right)} e^{\left(\frac{5}{2} \, x\right)} - 25 \, {\left(b^{3} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) + b^{2} c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) - b c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) - c^{3} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right)\right)} e^{\left(\frac{3}{2} \, x\right)} + 150 \, {\left(\sqrt{b^{2} - c^{2}} b^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) - \sqrt{b^{2} - c^{2}} c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right)\right)} e^{\left(\frac{1}{2} \, x\right)} + 150 \, {\left(b^{3} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) - b^{2} c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) - b c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) + c^{3} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right)\right)} e^{\left(-\frac{1}{2} \, x\right)} - 25 \, {\left(\sqrt{b^{2} - c^{2}} b^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) - 2 \, \sqrt{b^{2} - c^{2}} b c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) + \sqrt{b^{2} - c^{2}} c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right)\right)} e^{\left(-\frac{3}{2} \, x\right)} + 3 \, {\left(b^{3} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) - 3 \, b^{2} c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) + 3 \, b c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) - c^{3} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right)\right)} e^{\left(-\frac{5}{2} \, x\right)}\right)}}{60 \, \sqrt{b - c}}"," ",0,"-1/60*sqrt(2)*(3*(sqrt(b^2 - c^2)*b^2*sgn(-sqrt(b^2 - c^2)*e^x + b - c) + 2*sqrt(b^2 - c^2)*b*c*sgn(-sqrt(b^2 - c^2)*e^x + b - c) + sqrt(b^2 - c^2)*c^2*sgn(-sqrt(b^2 - c^2)*e^x + b - c))*e^(5/2*x) - 25*(b^3*sgn(-sqrt(b^2 - c^2)*e^x + b - c) + b^2*c*sgn(-sqrt(b^2 - c^2)*e^x + b - c) - b*c^2*sgn(-sqrt(b^2 - c^2)*e^x + b - c) - c^3*sgn(-sqrt(b^2 - c^2)*e^x + b - c))*e^(3/2*x) + 150*(sqrt(b^2 - c^2)*b^2*sgn(-sqrt(b^2 - c^2)*e^x + b - c) - sqrt(b^2 - c^2)*c^2*sgn(-sqrt(b^2 - c^2)*e^x + b - c))*e^(1/2*x) + 150*(b^3*sgn(-sqrt(b^2 - c^2)*e^x + b - c) - b^2*c*sgn(-sqrt(b^2 - c^2)*e^x + b - c) - b*c^2*sgn(-sqrt(b^2 - c^2)*e^x + b - c) + c^3*sgn(-sqrt(b^2 - c^2)*e^x + b - c))*e^(-1/2*x) - 25*(sqrt(b^2 - c^2)*b^2*sgn(-sqrt(b^2 - c^2)*e^x + b - c) - 2*sqrt(b^2 - c^2)*b*c*sgn(-sqrt(b^2 - c^2)*e^x + b - c) + sqrt(b^2 - c^2)*c^2*sgn(-sqrt(b^2 - c^2)*e^x + b - c))*e^(-3/2*x) + 3*(b^3*sgn(-sqrt(b^2 - c^2)*e^x + b - c) - 3*b^2*c*sgn(-sqrt(b^2 - c^2)*e^x + b - c) + 3*b*c^2*sgn(-sqrt(b^2 - c^2)*e^x + b - c) - c^3*sgn(-sqrt(b^2 - c^2)*e^x + b - c))*e^(-5/2*x))/sqrt(b - c)","B",0
775,1,302,0,0.197724," ","integrate((b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left({\left(\sqrt{b^{2} - c^{2}} b \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) + \sqrt{b^{2} - c^{2}} c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right)\right)} e^{\left(\frac{3}{2} \, x\right)} - 9 \, {\left(b^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) - c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right)\right)} e^{\left(\frac{1}{2} \, x\right)} - 9 \, {\left(\sqrt{b^{2} - c^{2}} b \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) - \sqrt{b^{2} - c^{2}} c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right)\right)} e^{\left(-\frac{1}{2} \, x\right)} + {\left(b^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) - 2 \, b c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) + c^{2} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right)\right)} e^{\left(-\frac{3}{2} \, x\right)}\right)}}{6 \, \sqrt{b - c}}"," ",0,"-1/6*sqrt(2)*((sqrt(b^2 - c^2)*b*sgn(-sqrt(b^2 - c^2)*e^x + b - c) + sqrt(b^2 - c^2)*c*sgn(-sqrt(b^2 - c^2)*e^x + b - c))*e^(3/2*x) - 9*(b^2*sgn(-sqrt(b^2 - c^2)*e^x + b - c) - c^2*sgn(-sqrt(b^2 - c^2)*e^x + b - c))*e^(1/2*x) - 9*(sqrt(b^2 - c^2)*b*sgn(-sqrt(b^2 - c^2)*e^x + b - c) - sqrt(b^2 - c^2)*c*sgn(-sqrt(b^2 - c^2)*e^x + b - c))*e^(-1/2*x) + (b^2*sgn(-sqrt(b^2 - c^2)*e^x + b - c) - 2*b*c*sgn(-sqrt(b^2 - c^2)*e^x + b - c) + c^2*sgn(-sqrt(b^2 - c^2)*e^x + b - c))*e^(-3/2*x))/sqrt(b - c)","B",0
776,1,103,0,0.147997," ","integrate((b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\sqrt{b^{2} - c^{2}} e^{\left(\frac{1}{2} \, x\right)} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) + {\left(b \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right) - c \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right)\right)} e^{\left(-\frac{1}{2} \, x\right)}\right)}}{\sqrt{b - c}}"," ",0,"-sqrt(2)*(sqrt(b^2 - c^2)*e^(1/2*x)*sgn(-sqrt(b^2 - c^2)*e^x + b - c) + (b*sgn(-sqrt(b^2 - c^2)*e^x + b - c) - c*sgn(-sqrt(b^2 - c^2)*e^x + b - c))*e^(-1/2*x))/sqrt(b - c)","B",0
777,1,299,0,1.434548," ","integrate(1/(b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{2} {\left(b^{2} - c^{2} - b + c\right)} \sqrt{b - c} \arctan\left(\frac{b^{3} e^{\left(-\frac{1}{2} \, x\right)} - b^{2} c e^{\left(-\frac{1}{2} \, x\right)} - b c^{2} e^{\left(-\frac{1}{2} \, x\right)} + c^{3} e^{\left(-\frac{1}{2} \, x\right)} - b^{2} e^{\left(-\frac{1}{2} \, x\right)} + 2 \, b c e^{\left(-\frac{1}{2} \, x\right)} - c^{2} e^{\left(-\frac{1}{2} \, x\right)}}{\sqrt{-{\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5} - 2 \, b^{4} + 4 \, b^{3} c - 4 \, b c^{3} + 2 \, c^{4} + b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3}\right)} \sqrt{b^{2} - c^{2}}}}\right)}{\sqrt{-{\left(b^{5} - b^{4} c - 2 \, b^{3} c^{2} + 2 \, b^{2} c^{3} + b c^{4} - c^{5} - 2 \, b^{4} + 4 \, b^{3} c - 4 \, b c^{3} + 2 \, c^{4} + b^{3} - 3 \, b^{2} c + 3 \, b c^{2} - c^{3}\right)} \sqrt{b^{2} - c^{2}}} \mathrm{sgn}\left(-\sqrt{b^{2} - c^{2}} e^{x} + b - c\right)}"," ",0,"-2*sqrt(2)*(b^2 - c^2 - b + c)*sqrt(b - c)*arctan((b^3*e^(-1/2*x) - b^2*c*e^(-1/2*x) - b*c^2*e^(-1/2*x) + c^3*e^(-1/2*x) - b^2*e^(-1/2*x) + 2*b*c*e^(-1/2*x) - c^2*e^(-1/2*x))/sqrt(-(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5 - 2*b^4 + 4*b^3*c - 4*b*c^3 + 2*c^4 + b^3 - 3*b^2*c + 3*b*c^2 - c^3)*sqrt(b^2 - c^2)))/(sqrt(-(b^5 - b^4*c - 2*b^3*c^2 + 2*b^2*c^3 + b*c^4 - c^5 - 2*b^4 + 4*b^3*c - 4*b*c^3 + 2*c^4 + b^3 - 3*b^2*c + 3*b*c^2 - c^3)*sqrt(b^2 - c^2))*sgn(-sqrt(b^2 - c^2)*e^x + b - c))","B",0
778,-2,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep),abs((-sqrt(b^2-c^2))*t_nostep+b-c)]Evaluation time: 0.6Unable to divide, perhaps due to rounding error%%%{%%%{8,[4,0]%%%}+%%%{16,[3,1]%%%}+%%%{-8,[3,0]%%%}+%%%{-8,[2,1]%%%}+%%%{-16,[1,3]%%%}+%%%{8,[1,2]%%%}+%%%{-8,[0,4]%%%}+%%%{8,[0,3]%%%},[6,1]%%%}+%%%{%%{[%%%{12,[1,0]%%%}+%%%{12,[0,1]%%%},0,%%%{-36,[3,0]%%%}+%%%{-36,[2,1]%%%}+%%%{-12,[2,0]%%%}+%%%{36,[1,2]%%%}+%%%{36,[0,3]%%%}+%%%{12,[0,2]%%%},0]:[1,0,%%%{-2,[2,0]%%%}+%%%{-2,[1,0]%%%}+%%%{2,[0,2]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[4,0]%%%}+%%%{-2,[3,0]%%%}+%%%{-2,[2,2]%%%}+%%%{2,[2,1]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,2]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,4]%%%}+%%%{-2,[0,3]%%%}+%%%{1,[0,2]%%%}]%%},[4,1]%%%}+%%%{%%%{24,[4,0]%%%}+%%%{-24,[3,0]%%%}+%%%{-48,[2,2]%%%}+%%%{24,[2,1]%%%}+%%%{24,[1,2]%%%}+%%%{24,[0,4]%%%}+%%%{-24,[0,3]%%%},[2,1]%%%}+%%%{%%{[%%%{4,[1,0]%%%}+%%%{-4,[0,1]%%%},0,%%%{-12,[3,0]%%%}+%%%{12,[2,1]%%%}+%%%{-4,[2,0]%%%}+%%%{12,[1,2]%%%}+%%%{8,[1,1]%%%}+%%%{-12,[0,3]%%%}+%%%{-4,[0,2]%%%},0]:[1,0,%%%{-2,[2,0]%%%}+%%%{-2,[1,0]%%%}+%%%{2,[0,2]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[4,0]%%%}+%%%{-2,[3,0]%%%}+%%%{-2,[2,2]%%%}+%%%{2,[2,1]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,2]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,4]%%%}+%%%{-2,[0,3]%%%}+%%%{1,[0,2]%%%}]%%},[0,1]%%%} / %%%{%%%{8,[9,0]%%%}+%%%{24,[8,1]%%%}+%%%{-24,[8,0]%%%}+%%%{-48,[7,1]%%%}+%%%{24,[7,0]%%%}+%%%{-64,[6,3]%%%}+%%%{48,[6,2]%%%}+%%%{24,[6,1]%%%}+%%%{-8,[6,0]%%%}+%%%{-48,[5,4]%%%}+%%%{144,[5,3]%%%}+%%%{-72,[5,2]%%%}+%%%{48,[4,5]%%%}+%%%{-72,[4,3]%%%}+%%%{24,[4,2]%%%}+%%%{64,[3,6]%%%}+%%%{-144,[3,5]%%%}+%%%{72,[3,4]%%%}+%%%{-48,[2,6]%%%}+%%%{72,[2,5]%%%}+%%%{-24,[2,4]%%%}+%%%{-24,[1,8]%%%}+%%%{48,[1,7]%%%}+%%%{-24,[1,6]%%%}+%%%{-8,[0,9]%%%}+%%%{24,[0,8]%%%}+%%%{-24,[0,7]%%%}+%%%{8,[0,6]%%%},[6,0]%%%}+%%%{%%{[%%%{12,[6,0]%%%}+%%%{24,[5,1]%%%}+%%%{-24,[5,0]%%%}+%%%{-12,[4,2]%%%}+%%%{-24,[4,1]%%%}+%%%{12,[4,0]%%%}+%%%{-48,[3,3]%%%}+%%%{48,[3,2]%%%}+%%%{-12,[2,4]%%%}+%%%{48,[2,3]%%%}+%%%{-24,[2,2]%%%}+%%%{24,[1,5]%%%}+%%%{-24,[1,4]%%%}+%%%{12,[0,6]%%%}+%%%{-24,[0,5]%%%}+%%%{12,[0,4]%%%},0,%%%{-36,[8,0]%%%}+%%%{-72,[7,1]%%%}+%%%{60,[7,0]%%%}+%%%{72,[6,2]%%%}+%%%{60,[6,1]%%%}+%%%{-12,[6,0]%%%}+%%%{216,[5,3]%%%}+%%%{-180,[5,2]%%%}+%%%{-12,[5,0]%%%}+%%%{-180,[4,3]%%%}+%%%{36,[4,2]%%%}+%%%{12,[4,1]%%%}+%%%{-216,[3,5]%%%}+%%%{180,[3,4]%%%}+%%%{24,[3,2]%%%}+%%%{-72,[2,6]%%%}+%%%{180,[2,5]%%%}+%%%{-36,[2,4]%%%}+%%%{-24,[2,3]%%%}+%%%{72,[1,7]%%%}+%%%{-60,[1,6]%%%}+%%%{-12,[1,4]%%%}+%%%{36,[0,8]%%%}+%%%{-60,[0,7]%%%}+%%%{12,[0,6]%%%}+%%%{12,[0,5]%%%},0]:[1,0,%%%{-2,[2,0]%%%}+%%%{-2,[1,0]%%%}+%%%{2,[0,2]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[4,0]%%%}+%%%{-2,[3,0]%%%}+%%%{-2,[2,2]%%%}+%%%{2,[2,1]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,2]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,4]%%%}+%%%{-2,[0,3]%%%}+%%%{1,[0,2]%%%}]%%},[4,0]%%%}+%%%{%%%{24,[9,0]%%%}+%%%{24,[8,1]%%%}+%%%{-72,[8,0]%%%}+%%%{-96,[7,2]%%%}+%%%{72,[7,0]%%%}+%%%{-96,[6,3]%%%}+%%%{288,[6,2]%%%}+%%%{-72,[6,1]%%%}+%%%{-24,[6,0]%%%}+%%%{144,[5,4]%%%}+%%%{-216,[5,2]%%%}+%%%{48,[5,1]%%%}+%%%{144,[4,5]%%%}+%%%{-432,[4,4]%%%}+%%%{216,[4,3]%%%}+%%%{24,[4,2]%%%}+%%%{-96,[3,6]%%%}+%%%{216,[3,4]%%%}+%%%{-96,[3,3]%%%}+%%%{-96,[2,7]%%%}+%%%{288,[2,6]%%%}+%%%{-216,[2,5]%%%}+%%%{24,[2,4]%%%}+%%%{24,[1,8]%%%}+%%%{-72,[1,6]%%%}+%%%{48,[1,5]%%%}+%%%{24,[0,9]%%%}+%%%{-72,[0,8]%%%}+%%%{72,[0,7]%%%}+%%%{-24,[0,6]%%%},[2,0]%%%}+%%%{%%{[%%%{4,[6,0]%%%}+%%%{-8,[5,0]%%%}+%%%{-12,[4,2]%%%}+%%%{8,[4,1]%%%}+%%%{4,[4,0]%%%}+%%%{16,[3,2]%%%}+%%%{-8,[3,1]%%%}+%%%{12,[2,4]%%%}+%%%{-16,[2,3]%%%}+%%%{-8,[1,4]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[0,6]%%%}+%%%{8,[0,5]%%%}+%%%{-4,[0,4]%%%},0,%%%{-12,[8,0]%%%}+%%%{20,[7,0]%%%}+%%%{48,[6,2]%%%}+%%%{-20,[6,1]%%%}+%%%{-4,[6,0]%%%}+%%%{-60,[5,2]%%%}+%%%{8,[5,1]%%%}+%%%{-4,[5,0]%%%}+%%%{-72,[4,4]%%%}+%%%{60,[4,3]%%%}+%%%{4,[4,2]%%%}+%%%{12,[4,1]%%%}+%%%{60,[3,4]%%%}+%%%{-16,[3,3]%%%}+%%%{-8,[3,2]%%%}+%%%{48,[2,6]%%%}+%%%{-60,[2,5]%%%}+%%%{4,[2,4]%%%}+%%%{-8,[2,3]%%%}+%%%{-20,[1,6]%%%}+%%%{8,[1,5]%%%}+%%%{12,[1,4]%%%}+%%%{-12,[0,8]%%%}+%%%{20,[0,7]%%%}+%%%{-4,[0,6]%%%}+%%%{-4,[0,5]%%%},0]:[1,0,%%%{-2,[2,0]%%%}+%%%{-2,[1,0]%%%}+%%%{2,[0,2]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[4,0]%%%}+%%%{-2,[3,0]%%%}+%%%{-2,[2,2]%%%}+%%%{2,[2,1]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,2]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,4]%%%}+%%%{-2,[0,3]%%%}+%%%{1,[0,2]%%%}]%%},[0,0]%%%} Error: Bad Argument Value","F(-2)",0
779,-2,0,0,0.000000," ","integrate(1/(b*cosh(x)+c*sinh(x)-(b^2-c^2)^(1/2))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep),abs((-sqrt(b^2-c^2))*t_nostep+b-c)]Evaluation time: 1.45Unable to divide, perhaps due to rounding error%%%{%%%{32,[5,0]%%%}+%%%{96,[4,1]%%%}+%%%{-32,[4,0]%%%}+%%%{64,[3,2]%%%}+%%%{-64,[3,1]%%%}+%%%{-64,[2,3]%%%}+%%%{-96,[1,4]%%%}+%%%{64,[1,3]%%%}+%%%{-32,[0,5]%%%}+%%%{32,[0,4]%%%},[10,1]%%%}+%%%{%%{[%%%{80,[2,0]%%%}+%%%{160,[1,1]%%%}+%%%{80,[0,2]%%%},0,%%%{-240,[4,0]%%%}+%%%{-480,[3,1]%%%}+%%%{-80,[3,0]%%%}+%%%{-80,[2,1]%%%}+%%%{480,[1,3]%%%}+%%%{80,[1,2]%%%}+%%%{240,[0,4]%%%}+%%%{80,[0,3]%%%},0]:[1,0,%%%{-2,[2,0]%%%}+%%%{-2,[1,0]%%%}+%%%{2,[0,2]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[4,0]%%%}+%%%{-2,[3,0]%%%}+%%%{-2,[2,2]%%%}+%%%{2,[2,1]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,2]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,4]%%%}+%%%{-2,[0,3]%%%}+%%%{1,[0,2]%%%}]%%},[8,1]%%%}+%%%{%%%{320,[5,0]%%%}+%%%{320,[4,1]%%%}+%%%{-320,[4,0]%%%}+%%%{-640,[3,2]%%%}+%%%{-640,[2,3]%%%}+%%%{640,[2,2]%%%}+%%%{320,[1,4]%%%}+%%%{320,[0,5]%%%}+%%%{-320,[0,4]%%%},[6,1]%%%}+%%%{%%{[%%%{160,[2,0]%%%}+%%%{-160,[0,2]%%%},0,%%%{-480,[4,0]%%%}+%%%{-160,[3,0]%%%}+%%%{960,[2,2]%%%}+%%%{160,[2,1]%%%}+%%%{160,[1,2]%%%}+%%%{-480,[0,4]%%%}+%%%{-160,[0,3]%%%},0]:[1,0,%%%{-2,[2,0]%%%}+%%%{-2,[1,0]%%%}+%%%{2,[0,2]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[4,0]%%%}+%%%{-2,[3,0]%%%}+%%%{-2,[2,2]%%%}+%%%{2,[2,1]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,2]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,4]%%%}+%%%{-2,[0,3]%%%}+%%%{1,[0,2]%%%}]%%},[4,1]%%%}+%%%{%%%{160,[5,0]%%%}+%%%{-160,[4,1]%%%}+%%%{-160,[4,0]%%%}+%%%{-320,[3,2]%%%}+%%%{320,[3,1]%%%}+%%%{320,[2,3]%%%}+%%%{160,[1,4]%%%}+%%%{-320,[1,3]%%%}+%%%{-160,[0,5]%%%}+%%%{160,[0,4]%%%},[2,1]%%%}+%%%{%%{[%%%{16,[2,0]%%%}+%%%{-32,[1,1]%%%}+%%%{16,[0,2]%%%},0,%%%{-48,[4,0]%%%}+%%%{96,[3,1]%%%}+%%%{-16,[3,0]%%%}+%%%{48,[2,1]%%%}+%%%{-96,[1,3]%%%}+%%%{-48,[1,2]%%%}+%%%{48,[0,4]%%%}+%%%{16,[0,3]%%%},0]:[1,0,%%%{-2,[2,0]%%%}+%%%{-2,[1,0]%%%}+%%%{2,[0,2]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[4,0]%%%}+%%%{-2,[3,0]%%%}+%%%{-2,[2,2]%%%}+%%%{2,[2,1]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,2]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,4]%%%}+%%%{-2,[0,3]%%%}+%%%{1,[0,2]%%%}]%%},[0,1]%%%} / 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Error: Bad Argument Value","F(-2)",0
780,1,106,0,0.133485," ","integrate(1/(a+c*sech(x)+b*tanh(x)),x, algorithm=""giac"")","-\frac{2 \, a c \arctan\left(\frac{a e^{x} + b e^{x} + c}{\sqrt{a^{2} - b^{2} - c^{2}}}\right)}{\sqrt{a^{2} - b^{2} - c^{2}} {\left(a^{2} - b^{2}\right)}} - \frac{b \log\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + 2 \, c e^{x} + a - b\right)}{a^{2} - b^{2}} + \frac{x}{a - b}"," ",0,"-2*a*c*arctan((a*e^x + b*e^x + c)/sqrt(a^2 - b^2 - c^2))/(sqrt(a^2 - b^2 - c^2)*(a^2 - b^2)) - b*log(a*e^(2*x) + b*e^(2*x) + 2*c*e^x + a - b)/(a^2 - b^2) + x/(a - b)","A",0
781,1,106,0,0.141438," ","integrate(1/(a+b*coth(x)+c*csch(x)),x, algorithm=""giac"")","-\frac{2 \, a c \arctan\left(\frac{a e^{x} + b e^{x} + c}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{{\left(a^{2} - b^{2}\right)} \sqrt{-a^{2} + b^{2} - c^{2}}} - \frac{b \log\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + 2 \, c e^{x} - a + b\right)}{a^{2} - b^{2}} + \frac{x}{a - b}"," ",0,"-2*a*c*arctan((a*e^x + b*e^x + c)/sqrt(-a^2 + b^2 - c^2))/((a^2 - b^2)*sqrt(-a^2 + b^2 - c^2)) - b*log(a*e^(2*x) + b*e^(2*x) + 2*c*e^x - a + b)/(a^2 - b^2) + x/(a - b)","A",0
782,1,106,0,0.119244," ","integrate(sinh(x)/(a+b*cosh(x)+c*sinh(x)),x, algorithm=""giac"")","\frac{2 \, a c \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{\sqrt{-a^{2} + b^{2} - c^{2}} {\left(b^{2} - c^{2}\right)}} + \frac{b \log\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}{b^{2} - c^{2}} - \frac{x}{b - c}"," ",0,"2*a*c*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/(sqrt(-a^2 + b^2 - c^2)*(b^2 - c^2)) + b*log(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c)/(b^2 - c^2) - x/(b - c)","A",0
783,1,10,0,0.136165," ","integrate(sinh(x)/(1+cosh(x)+sinh(x)),x, algorithm=""giac"")","\frac{1}{2} \, x + \frac{1}{2} \, e^{\left(-x\right)}"," ",0,"1/2*x + 1/2*e^(-x)","A",0
784,1,46,0,0.111793," ","integrate(sech(x)/(a+c*sech(x)+b*tanh(x)),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{a e^{x} + b e^{x} + c}{\sqrt{a^{2} - b^{2} - c^{2}}}\right)}{\sqrt{a^{2} - b^{2} - c^{2}}}"," ",0,"2*arctan((a*e^x + b*e^x + c)/sqrt(a^2 - b^2 - c^2))/sqrt(a^2 - b^2 - c^2)","A",0
785,1,126,0,0.138541," ","integrate(sech(x)^2/(a+c*sech(x)+b*tanh(x)),x, algorithm=""giac"")","-\frac{2 \, a c \arctan\left(\frac{a e^{x} + b e^{x} + c}{\sqrt{a^{2} - b^{2} - c^{2}}}\right)}{\sqrt{a^{2} - b^{2} - c^{2}} {\left(b^{2} + c^{2}\right)}} + \frac{2 \, c \arctan\left(e^{x}\right)}{b^{2} + c^{2}} + \frac{b \log\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + 2 \, c e^{x} + a - b\right)}{b^{2} + c^{2}} - \frac{b \log\left(e^{\left(2 \, x\right)} + 1\right)}{b^{2} + c^{2}}"," ",0,"-2*a*c*arctan((a*e^x + b*e^x + c)/sqrt(a^2 - b^2 - c^2))/(sqrt(a^2 - b^2 - c^2)*(b^2 + c^2)) + 2*c*arctan(e^x)/(b^2 + c^2) + b*log(a*e^(2*x) + b*e^(2*x) + 2*c*e^x + a - b)/(b^2 + c^2) - b*log(e^(2*x) + 1)/(b^2 + c^2)","A",0
786,1,13,0,0.111037," ","integrate(csch(x)/(2+2*coth(x)+3*csch(x)),x, algorithm=""giac"")","\frac{1}{3} \, x - \frac{1}{3} \, \log\left(2 \, e^{x} + 3\right)"," ",0,"1/3*x - 1/3*log(2*e^x + 3)","A",0
787,1,46,0,0.130882," ","integrate(csch(x)/(a+b*coth(x)+c*csch(x)),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{a e^{x} + b e^{x} + c}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{\sqrt{-a^{2} + b^{2} - c^{2}}}"," ",0,"2*arctan((a*e^x + b*e^x + c)/sqrt(-a^2 + b^2 - c^2))/sqrt(-a^2 + b^2 - c^2)","A",0
788,1,122,0,0.122385," ","integrate(csch(x)^2/(a+b*coth(x)+c*csch(x)),x, algorithm=""giac"")","\frac{2 \, a c \arctan\left(\frac{a e^{x} + b e^{x} + c}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{\sqrt{-a^{2} + b^{2} - c^{2}} {\left(b^{2} - c^{2}\right)}} - \frac{b \log\left(a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + 2 \, c e^{x} - a + b\right)}{b^{2} - c^{2}} + \frac{\log\left(e^{x} + 1\right)}{b - c} + \frac{\log\left({\left| e^{x} - 1 \right|}\right)}{b + c}"," ",0,"2*a*c*arctan((a*e^x + b*e^x + c)/sqrt(-a^2 + b^2 - c^2))/(sqrt(-a^2 + b^2 - c^2)*(b^2 - c^2)) - b*log(a*e^(2*x) + b*e^(2*x) + 2*c*e^x - a + b)/(b^2 - c^2) + log(e^x + 1)/(b - c) + log(abs(e^x - 1))/(b + c)","A",0
789,1,122,0,0.115882," ","integrate((A+C*sinh(x))/(a+b*cosh(x)+c*sinh(x)),x, algorithm=""giac"")","\frac{C b \log\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}{b^{2} - c^{2}} - \frac{C x}{b - c} + \frac{2 \, {\left(A b^{2} + C a c - A c^{2}\right)} \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{\sqrt{-a^{2} + b^{2} - c^{2}} {\left(b^{2} - c^{2}\right)}}"," ",0,"C*b*log(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c)/(b^2 - c^2) - C*x/(b - c) + 2*(A*b^2 + C*a*c - A*c^2)*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/(sqrt(-a^2 + b^2 - c^2)*(b^2 - c^2))","A",0
790,1,179,0,0.120833," ","integrate((A+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^2,x, algorithm=""giac"")","\frac{2 \, {\left(A a + C c\right)} \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{{\left(a^{2} - b^{2} + c^{2}\right)} \sqrt{-a^{2} + b^{2} - c^{2}}} - \frac{2 \, {\left(C a^{2} e^{x} - A a b e^{x} - C b^{2} e^{x} - A a c e^{x} - C b c e^{x} - A b^{2} - C a c + A c^{2}\right)}}{{\left(a^{2} b - b^{3} + a^{2} c - b^{2} c + b c^{2} + c^{3}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}}"," ",0,"2*(A*a + C*c)*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/((a^2 - b^2 + c^2)*sqrt(-a^2 + b^2 - c^2)) - 2*(C*a^2*e^x - A*a*b*e^x - C*b^2*e^x - A*a*c*e^x - C*b*c*e^x - A*b^2 - C*a*c + A*c^2)/((a^2*b - b^3 + a^2*c - b^2*c + b*c^2 + c^3)*(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c))","A",0
791,1,625,0,0.188166," ","integrate((A+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^3,x, algorithm=""giac"")","\frac{{\left(2 \, A a^{2} + A b^{2} + 3 \, C a c - A c^{2}\right)} \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b^{2} c^{2} + c^{4}\right)} \sqrt{-a^{2} + b^{2} - c^{2}}} + \frac{2 \, A a^{2} b^{2} e^{\left(3 \, x\right)} + A b^{4} e^{\left(3 \, x\right)} + 4 \, A a^{2} b c e^{\left(3 \, x\right)} + 3 \, C a b^{2} c e^{\left(3 \, x\right)} + 2 \, A b^{3} c e^{\left(3 \, x\right)} + 2 \, A a^{2} c^{2} e^{\left(3 \, x\right)} + 6 \, C a b c^{2} e^{\left(3 \, x\right)} + 3 \, C a c^{3} e^{\left(3 \, x\right)} - 2 \, A b c^{3} e^{\left(3 \, x\right)} - A c^{4} e^{\left(3 \, x\right)} - 2 \, C a^{4} e^{\left(2 \, x\right)} + 6 \, A a^{3} b e^{\left(2 \, x\right)} + 4 \, C a^{2} b^{2} e^{\left(2 \, x\right)} + 3 \, A a b^{3} e^{\left(2 \, x\right)} - 2 \, C b^{4} e^{\left(2 \, x\right)} + 6 \, A a^{3} c e^{\left(2 \, x\right)} + 9 \, C a^{2} b c e^{\left(2 \, x\right)} + 3 \, A a b^{2} c e^{\left(2 \, x\right)} + 5 \, C a^{2} c^{2} e^{\left(2 \, x\right)} - 3 \, A a b c^{2} e^{\left(2 \, x\right)} + 4 \, C b^{2} c^{2} e^{\left(2 \, x\right)} - 3 \, A a c^{3} e^{\left(2 \, x\right)} - 2 \, C c^{4} e^{\left(2 \, x\right)} + 10 \, A a^{2} b^{2} e^{x} - A b^{4} e^{x} + 4 \, C a^{3} c e^{x} + 5 \, C a b^{2} c e^{x} - 10 \, A a^{2} c^{2} e^{x} + 2 \, A b^{2} c^{2} e^{x} - 5 \, C a c^{3} e^{x} - A c^{4} e^{x} + 3 \, A a b^{3} + C a^{2} b c - 3 \, A a b^{2} c + 2 \, C b^{3} c - C a^{2} c^{2} - 3 \, A a b c^{2} - 2 \, C b^{2} c^{2} + 3 \, A a c^{3} - 2 \, C b c^{3} + 2 \, C c^{4}}{{\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} + a^{4} c - 2 \, a^{2} b^{2} c + b^{4} c + 2 \, a^{2} b c^{2} - 2 \, b^{3} c^{2} + 2 \, a^{2} c^{3} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}^{2}}"," ",0,"(2*A*a^2 + A*b^2 + 3*C*a*c - A*c^2)*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/((a^4 - 2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b^2*c^2 + c^4)*sqrt(-a^2 + b^2 - c^2)) + (2*A*a^2*b^2*e^(3*x) + A*b^4*e^(3*x) + 4*A*a^2*b*c*e^(3*x) + 3*C*a*b^2*c*e^(3*x) + 2*A*b^3*c*e^(3*x) + 2*A*a^2*c^2*e^(3*x) + 6*C*a*b*c^2*e^(3*x) + 3*C*a*c^3*e^(3*x) - 2*A*b*c^3*e^(3*x) - A*c^4*e^(3*x) - 2*C*a^4*e^(2*x) + 6*A*a^3*b*e^(2*x) + 4*C*a^2*b^2*e^(2*x) + 3*A*a*b^3*e^(2*x) - 2*C*b^4*e^(2*x) + 6*A*a^3*c*e^(2*x) + 9*C*a^2*b*c*e^(2*x) + 3*A*a*b^2*c*e^(2*x) + 5*C*a^2*c^2*e^(2*x) - 3*A*a*b*c^2*e^(2*x) + 4*C*b^2*c^2*e^(2*x) - 3*A*a*c^3*e^(2*x) - 2*C*c^4*e^(2*x) + 10*A*a^2*b^2*e^x - A*b^4*e^x + 4*C*a^3*c*e^x + 5*C*a*b^2*c*e^x - 10*A*a^2*c^2*e^x + 2*A*b^2*c^2*e^x - 5*C*a*c^3*e^x - A*c^4*e^x + 3*A*a*b^3 + C*a^2*b*c - 3*A*a*b^2*c + 2*C*b^3*c - C*a^2*c^2 - 3*A*a*b*c^2 - 2*C*b^2*c^2 + 3*A*a*c^3 - 2*C*b*c^3 + 2*C*c^4)/((a^4*b - 2*a^2*b^3 + b^5 + a^4*c - 2*a^2*b^2*c + b^4*c + 2*a^2*b*c^2 - 2*b^3*c^2 + 2*a^2*c^3 - 2*b^2*c^3 + b*c^4 + c^5)*(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c)^2)","B",0
792,1,122,0,0.135261," ","integrate((A+B*cosh(x))/(a+b*cosh(x)+c*sinh(x)),x, algorithm=""giac"")","-\frac{B c \log\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}{b^{2} - c^{2}} + \frac{B x}{b - c} - \frac{2 \, {\left(B a b - A b^{2} + A c^{2}\right)} \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{\sqrt{-a^{2} + b^{2} - c^{2}} {\left(b^{2} - c^{2}\right)}}"," ",0,"-B*c*log(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c)/(b^2 - c^2) + B*x/(b - c) - 2*(B*a*b - A*b^2 + A*c^2)*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/(sqrt(-a^2 + b^2 - c^2)*(b^2 - c^2))","A",0
793,1,177,0,0.121130," ","integrate((A+B*cosh(x))/(a+b*cosh(x)+c*sinh(x))^2,x, algorithm=""giac"")","\frac{2 \, {\left(A a - B b\right)} \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{{\left(a^{2} - b^{2} + c^{2}\right)} \sqrt{-a^{2} + b^{2} - c^{2}}} - \frac{2 \, {\left(B a^{2} e^{x} - A a b e^{x} - A a c e^{x} + B b c e^{x} + B c^{2} e^{x} + B a b - A b^{2} + A c^{2}\right)}}{{\left(a^{2} b - b^{3} + a^{2} c - b^{2} c + b c^{2} + c^{3}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}}"," ",0,"2*(A*a - B*b)*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/((a^2 - b^2 + c^2)*sqrt(-a^2 + b^2 - c^2)) - 2*(B*a^2*e^x - A*a*b*e^x - A*a*c*e^x + B*b*c*e^x + B*c^2*e^x + B*a*b - A*b^2 + A*c^2)/((a^2*b - b^3 + a^2*c - b^2*c + b*c^2 + c^3)*(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c))","A",0
794,1,625,0,0.169671," ","integrate((A+B*cosh(x))/(a+b*cosh(x)+c*sinh(x))^3,x, algorithm=""giac"")","\frac{{\left(2 \, A a^{2} - 3 \, B a b + A b^{2} - A c^{2}\right)} \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b^{2} c^{2} + c^{4}\right)} \sqrt{-a^{2} + b^{2} - c^{2}}} + \frac{2 \, A a^{2} b^{2} e^{\left(3 \, x\right)} - 3 \, B a b^{3} e^{\left(3 \, x\right)} + A b^{4} e^{\left(3 \, x\right)} + 4 \, A a^{2} b c e^{\left(3 \, x\right)} - 6 \, B a b^{2} c e^{\left(3 \, x\right)} + 2 \, A b^{3} c e^{\left(3 \, x\right)} + 2 \, A a^{2} c^{2} e^{\left(3 \, x\right)} - 3 \, B a b c^{2} e^{\left(3 \, x\right)} - 2 \, A b c^{3} e^{\left(3 \, x\right)} - A c^{4} e^{\left(3 \, x\right)} - 2 \, B a^{4} e^{\left(2 \, x\right)} + 6 \, A a^{3} b e^{\left(2 \, x\right)} - 5 \, B a^{2} b^{2} e^{\left(2 \, x\right)} + 3 \, A a b^{3} e^{\left(2 \, x\right)} - 2 \, B b^{4} e^{\left(2 \, x\right)} + 6 \, A a^{3} c e^{\left(2 \, x\right)} - 9 \, B a^{2} b c e^{\left(2 \, x\right)} + 3 \, A a b^{2} c e^{\left(2 \, x\right)} - 4 \, B a^{2} c^{2} e^{\left(2 \, x\right)} - 3 \, A a b c^{2} e^{\left(2 \, x\right)} + 4 \, B b^{2} c^{2} e^{\left(2 \, x\right)} - 3 \, A a c^{3} e^{\left(2 \, x\right)} - 2 \, B c^{4} e^{\left(2 \, x\right)} - 4 \, B a^{3} b e^{x} + 10 \, A a^{2} b^{2} e^{x} - 5 \, B a b^{3} e^{x} - A b^{4} e^{x} - 10 \, A a^{2} c^{2} e^{x} + 5 \, B a b c^{2} e^{x} + 2 \, A b^{2} c^{2} e^{x} - A c^{4} e^{x} - B a^{2} b^{2} + 3 \, A a b^{3} - 2 \, B b^{4} + B a^{2} b c - 3 \, A a b^{2} c + 2 \, B b^{3} c - 3 \, A a b c^{2} + 2 \, B b^{2} c^{2} + 3 \, A a c^{3} - 2 \, B b c^{3}}{{\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} + a^{4} c - 2 \, a^{2} b^{2} c + b^{4} c + 2 \, a^{2} b c^{2} - 2 \, b^{3} c^{2} + 2 \, a^{2} c^{3} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}^{2}}"," ",0,"(2*A*a^2 - 3*B*a*b + A*b^2 - A*c^2)*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/((a^4 - 2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b^2*c^2 + c^4)*sqrt(-a^2 + b^2 - c^2)) + (2*A*a^2*b^2*e^(3*x) - 3*B*a*b^3*e^(3*x) + A*b^4*e^(3*x) + 4*A*a^2*b*c*e^(3*x) - 6*B*a*b^2*c*e^(3*x) + 2*A*b^3*c*e^(3*x) + 2*A*a^2*c^2*e^(3*x) - 3*B*a*b*c^2*e^(3*x) - 2*A*b*c^3*e^(3*x) - A*c^4*e^(3*x) - 2*B*a^4*e^(2*x) + 6*A*a^3*b*e^(2*x) - 5*B*a^2*b^2*e^(2*x) + 3*A*a*b^3*e^(2*x) - 2*B*b^4*e^(2*x) + 6*A*a^3*c*e^(2*x) - 9*B*a^2*b*c*e^(2*x) + 3*A*a*b^2*c*e^(2*x) - 4*B*a^2*c^2*e^(2*x) - 3*A*a*b*c^2*e^(2*x) + 4*B*b^2*c^2*e^(2*x) - 3*A*a*c^3*e^(2*x) - 2*B*c^4*e^(2*x) - 4*B*a^3*b*e^x + 10*A*a^2*b^2*e^x - 5*B*a*b^3*e^x - A*b^4*e^x - 10*A*a^2*c^2*e^x + 5*B*a*b*c^2*e^x + 2*A*b^2*c^2*e^x - A*c^4*e^x - B*a^2*b^2 + 3*A*a*b^3 - 2*B*b^4 + B*a^2*b*c - 3*A*a*b^2*c + 2*B*b^3*c - 3*A*a*b*c^2 + 2*B*b^2*c^2 + 3*A*a*c^3 - 2*B*b*c^3)/((a^4*b - 2*a^2*b^3 + b^5 + a^4*c - 2*a^2*b^2*c + b^4*c + 2*a^2*b*c^2 - 2*b^3*c^2 + 2*a^2*c^3 - 2*b^2*c^3 + b*c^4 + c^5)*(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c)^2)","B",0
795,1,125,0,0.136357," ","integrate((B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x)),x, algorithm=""giac"")","\frac{{\left(B - C\right)} x}{b - c} + \frac{{\left(C b - B c\right)} \log\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}{b^{2} - c^{2}} - \frac{2 \, {\left(B a b - C a c\right)} \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{\sqrt{-a^{2} + b^{2} - c^{2}} {\left(b^{2} - c^{2}\right)}}"," ",0,"(B - C)*x/(b - c) + (C*b - B*c)*log(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c)/(b^2 - c^2) - 2*(B*a*b - C*a*c)*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/(sqrt(-a^2 + b^2 - c^2)*(b^2 - c^2))","A",0
796,1,179,0,0.120820," ","integrate((B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(B b - C c\right)} \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{{\left(a^{2} - b^{2} + c^{2}\right)} \sqrt{-a^{2} + b^{2} - c^{2}}} - \frac{2 \, {\left(B a^{2} e^{x} + C a^{2} e^{x} - C b^{2} e^{x} + B b c e^{x} - C b c e^{x} + B c^{2} e^{x} + B a b - C a c\right)}}{{\left(a^{2} b - b^{3} + a^{2} c - b^{2} c + b c^{2} + c^{3}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}}"," ",0,"-2*(B*b - C*c)*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/((a^2 - b^2 + c^2)*sqrt(-a^2 + b^2 - c^2)) - 2*(B*a^2*e^x + C*a^2*e^x - C*b^2*e^x + B*b*c*e^x - C*b*c*e^x + B*c^2*e^x + B*a*b - C*a*c)/((a^2*b - b^3 + a^2*c - b^2*c + b*c^2 + c^3)*(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c))","A",0
797,1,577,0,0.181350," ","integrate((B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^3,x, algorithm=""giac"")","-\frac{3 \, {\left(B a b - C a c\right)} \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b^{2} c^{2} + c^{4}\right)} \sqrt{-a^{2} + b^{2} - c^{2}}} - \frac{3 \, B a b^{3} e^{\left(3 \, x\right)} + 6 \, B a b^{2} c e^{\left(3 \, x\right)} - 3 \, C a b^{2} c e^{\left(3 \, x\right)} + 3 \, B a b c^{2} e^{\left(3 \, x\right)} - 6 \, C a b c^{2} e^{\left(3 \, x\right)} - 3 \, C a c^{3} e^{\left(3 \, x\right)} + 2 \, B a^{4} e^{\left(2 \, x\right)} + 2 \, C a^{4} e^{\left(2 \, x\right)} + 5 \, B a^{2} b^{2} e^{\left(2 \, x\right)} - 4 \, C a^{2} b^{2} e^{\left(2 \, x\right)} + 2 \, B b^{4} e^{\left(2 \, x\right)} + 2 \, C b^{4} e^{\left(2 \, x\right)} + 9 \, B a^{2} b c e^{\left(2 \, x\right)} - 9 \, C a^{2} b c e^{\left(2 \, x\right)} + 4 \, B a^{2} c^{2} e^{\left(2 \, x\right)} - 5 \, C a^{2} c^{2} e^{\left(2 \, x\right)} - 4 \, B b^{2} c^{2} e^{\left(2 \, x\right)} - 4 \, C b^{2} c^{2} e^{\left(2 \, x\right)} + 2 \, B c^{4} e^{\left(2 \, x\right)} + 2 \, C c^{4} e^{\left(2 \, x\right)} + 4 \, B a^{3} b e^{x} + 5 \, B a b^{3} e^{x} - 4 \, C a^{3} c e^{x} - 5 \, C a b^{2} c e^{x} - 5 \, B a b c^{2} e^{x} + 5 \, C a c^{3} e^{x} + B a^{2} b^{2} + 2 \, B b^{4} - B a^{2} b c - C a^{2} b c - 2 \, B b^{3} c - 2 \, C b^{3} c + C a^{2} c^{2} - 2 \, B b^{2} c^{2} + 2 \, C b^{2} c^{2} + 2 \, B b c^{3} + 2 \, C b c^{3} - 2 \, C c^{4}}{{\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} + a^{4} c - 2 \, a^{2} b^{2} c + b^{4} c + 2 \, a^{2} b c^{2} - 2 \, b^{3} c^{2} + 2 \, a^{2} c^{3} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}^{2}}"," ",0,"-3*(B*a*b - C*a*c)*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/((a^4 - 2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b^2*c^2 + c^4)*sqrt(-a^2 + b^2 - c^2)) - (3*B*a*b^3*e^(3*x) + 6*B*a*b^2*c*e^(3*x) - 3*C*a*b^2*c*e^(3*x) + 3*B*a*b*c^2*e^(3*x) - 6*C*a*b*c^2*e^(3*x) - 3*C*a*c^3*e^(3*x) + 2*B*a^4*e^(2*x) + 2*C*a^4*e^(2*x) + 5*B*a^2*b^2*e^(2*x) - 4*C*a^2*b^2*e^(2*x) + 2*B*b^4*e^(2*x) + 2*C*b^4*e^(2*x) + 9*B*a^2*b*c*e^(2*x) - 9*C*a^2*b*c*e^(2*x) + 4*B*a^2*c^2*e^(2*x) - 5*C*a^2*c^2*e^(2*x) - 4*B*b^2*c^2*e^(2*x) - 4*C*b^2*c^2*e^(2*x) + 2*B*c^4*e^(2*x) + 2*C*c^4*e^(2*x) + 4*B*a^3*b*e^x + 5*B*a*b^3*e^x - 4*C*a^3*c*e^x - 5*C*a*b^2*c*e^x - 5*B*a*b*c^2*e^x + 5*C*a*c^3*e^x + B*a^2*b^2 + 2*B*b^4 - B*a^2*b*c - C*a^2*b*c - 2*B*b^3*c - 2*C*b^3*c + C*a^2*c^2 - 2*B*b^2*c^2 + 2*C*b^2*c^2 + 2*B*b*c^3 + 2*C*b*c^3 - 2*C*c^4)/((a^4*b - 2*a^2*b^3 + b^5 + a^4*c - 2*a^2*b^2*c + b^4*c + 2*a^2*b*c^2 - 2*b^3*c^2 + 2*a^2*c^3 - 2*b^2*c^3 + b*c^4 + c^5)*(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c)^2)","B",0
798,1,136,0,0.140588," ","integrate((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x)),x, algorithm=""giac"")","\frac{{\left(B - C\right)} x}{b - c} + \frac{{\left(C b - B c\right)} \log\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}{b^{2} - c^{2}} - \frac{2 \, {\left(B a b - A b^{2} - C a c + A c^{2}\right)} \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{\sqrt{-a^{2} + b^{2} - c^{2}} {\left(b^{2} - c^{2}\right)}}"," ",0,"(B - C)*x/(b - c) + (C*b - B*c)*log(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c)/(b^2 - c^2) - 2*(B*a*b - A*b^2 - C*a*c + A*c^2)*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/(sqrt(-a^2 + b^2 - c^2)*(b^2 - c^2))","A",0
799,1,207,0,0.127521," ","integrate((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^2,x, algorithm=""giac"")","\frac{2 \, {\left(A a - B b + C c\right)} \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{{\left(a^{2} - b^{2} + c^{2}\right)} \sqrt{-a^{2} + b^{2} - c^{2}}} - \frac{2 \, {\left(B a^{2} e^{x} + C a^{2} e^{x} - A a b e^{x} - C b^{2} e^{x} - A a c e^{x} + B b c e^{x} - C b c e^{x} + B c^{2} e^{x} + B a b - A b^{2} - C a c + A c^{2}\right)}}{{\left(a^{2} b - b^{3} + a^{2} c - b^{2} c + b c^{2} + c^{3}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}}"," ",0,"2*(A*a - B*b + C*c)*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/((a^2 - b^2 + c^2)*sqrt(-a^2 + b^2 - c^2)) - 2*(B*a^2*e^x + C*a^2*e^x - A*a*b*e^x - C*b^2*e^x - A*a*c*e^x + B*b*c*e^x - C*b*c*e^x + B*c^2*e^x + B*a*b - A*b^2 - C*a*c + A*c^2)/((a^2*b - b^3 + a^2*c - b^2*c + b*c^2 + c^3)*(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c))","A",0
800,1,819,0,0.187845," ","integrate((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+c*sinh(x))^3,x, algorithm=""giac"")","\frac{{\left(2 \, A a^{2} - 3 \, B a b + A b^{2} + 3 \, C a c - A c^{2}\right)} \arctan\left(\frac{b e^{x} + c e^{x} + a}{\sqrt{-a^{2} + b^{2} - c^{2}}}\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} + 2 \, a^{2} c^{2} - 2 \, b^{2} c^{2} + c^{4}\right)} \sqrt{-a^{2} + b^{2} - c^{2}}} + \frac{2 \, A a^{2} b^{2} e^{\left(3 \, x\right)} - 3 \, B a b^{3} e^{\left(3 \, x\right)} + A b^{4} e^{\left(3 \, x\right)} + 4 \, A a^{2} b c e^{\left(3 \, x\right)} - 6 \, B a b^{2} c e^{\left(3 \, x\right)} + 3 \, C a b^{2} c e^{\left(3 \, x\right)} + 2 \, A b^{3} c e^{\left(3 \, x\right)} + 2 \, A a^{2} c^{2} e^{\left(3 \, x\right)} - 3 \, B a b c^{2} e^{\left(3 \, x\right)} + 6 \, C a b c^{2} e^{\left(3 \, x\right)} + 3 \, C a c^{3} e^{\left(3 \, x\right)} - 2 \, A b c^{3} e^{\left(3 \, x\right)} - A c^{4} e^{\left(3 \, x\right)} - 2 \, B a^{4} e^{\left(2 \, x\right)} - 2 \, C a^{4} e^{\left(2 \, x\right)} + 6 \, A a^{3} b e^{\left(2 \, x\right)} - 5 \, B a^{2} b^{2} e^{\left(2 \, x\right)} + 4 \, C a^{2} b^{2} e^{\left(2 \, x\right)} + 3 \, A a b^{3} e^{\left(2 \, x\right)} - 2 \, B b^{4} e^{\left(2 \, x\right)} - 2 \, C b^{4} e^{\left(2 \, x\right)} + 6 \, A a^{3} c e^{\left(2 \, x\right)} - 9 \, B a^{2} b c e^{\left(2 \, x\right)} + 9 \, C a^{2} b c e^{\left(2 \, x\right)} + 3 \, A a b^{2} c e^{\left(2 \, x\right)} - 4 \, B a^{2} c^{2} e^{\left(2 \, x\right)} + 5 \, C a^{2} c^{2} e^{\left(2 \, x\right)} - 3 \, A a b c^{2} e^{\left(2 \, x\right)} + 4 \, B b^{2} c^{2} e^{\left(2 \, x\right)} + 4 \, C b^{2} c^{2} e^{\left(2 \, x\right)} - 3 \, A a c^{3} e^{\left(2 \, x\right)} - 2 \, B c^{4} e^{\left(2 \, x\right)} - 2 \, C c^{4} e^{\left(2 \, x\right)} - 4 \, B a^{3} b e^{x} + 10 \, A a^{2} b^{2} e^{x} - 5 \, B a b^{3} e^{x} - A b^{4} e^{x} + 4 \, C a^{3} c e^{x} + 5 \, C a b^{2} c e^{x} - 10 \, A a^{2} c^{2} e^{x} + 5 \, B a b c^{2} e^{x} + 2 \, A b^{2} c^{2} e^{x} - 5 \, C a c^{3} e^{x} - A c^{4} e^{x} - B a^{2} b^{2} + 3 \, A a b^{3} - 2 \, B b^{4} + B a^{2} b c + C a^{2} b c - 3 \, A a b^{2} c + 2 \, B b^{3} c + 2 \, C b^{3} c - C a^{2} c^{2} - 3 \, A a b c^{2} + 2 \, B b^{2} c^{2} - 2 \, C b^{2} c^{2} + 3 \, A a c^{3} - 2 \, B b c^{3} - 2 \, C b c^{3} + 2 \, C c^{4}}{{\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} + a^{4} c - 2 \, a^{2} b^{2} c + b^{4} c + 2 \, a^{2} b c^{2} - 2 \, b^{3} c^{2} + 2 \, a^{2} c^{3} - 2 \, b^{2} c^{3} + b c^{4} + c^{5}\right)} {\left(b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c\right)}^{2}}"," ",0,"(2*A*a^2 - 3*B*a*b + A*b^2 + 3*C*a*c - A*c^2)*arctan((b*e^x + c*e^x + a)/sqrt(-a^2 + b^2 - c^2))/((a^4 - 2*a^2*b^2 + b^4 + 2*a^2*c^2 - 2*b^2*c^2 + c^4)*sqrt(-a^2 + b^2 - c^2)) + (2*A*a^2*b^2*e^(3*x) - 3*B*a*b^3*e^(3*x) + A*b^4*e^(3*x) + 4*A*a^2*b*c*e^(3*x) - 6*B*a*b^2*c*e^(3*x) + 3*C*a*b^2*c*e^(3*x) + 2*A*b^3*c*e^(3*x) + 2*A*a^2*c^2*e^(3*x) - 3*B*a*b*c^2*e^(3*x) + 6*C*a*b*c^2*e^(3*x) + 3*C*a*c^3*e^(3*x) - 2*A*b*c^3*e^(3*x) - A*c^4*e^(3*x) - 2*B*a^4*e^(2*x) - 2*C*a^4*e^(2*x) + 6*A*a^3*b*e^(2*x) - 5*B*a^2*b^2*e^(2*x) + 4*C*a^2*b^2*e^(2*x) + 3*A*a*b^3*e^(2*x) - 2*B*b^4*e^(2*x) - 2*C*b^4*e^(2*x) + 6*A*a^3*c*e^(2*x) - 9*B*a^2*b*c*e^(2*x) + 9*C*a^2*b*c*e^(2*x) + 3*A*a*b^2*c*e^(2*x) - 4*B*a^2*c^2*e^(2*x) + 5*C*a^2*c^2*e^(2*x) - 3*A*a*b*c^2*e^(2*x) + 4*B*b^2*c^2*e^(2*x) + 4*C*b^2*c^2*e^(2*x) - 3*A*a*c^3*e^(2*x) - 2*B*c^4*e^(2*x) - 2*C*c^4*e^(2*x) - 4*B*a^3*b*e^x + 10*A*a^2*b^2*e^x - 5*B*a*b^3*e^x - A*b^4*e^x + 4*C*a^3*c*e^x + 5*C*a*b^2*c*e^x - 10*A*a^2*c^2*e^x + 5*B*a*b*c^2*e^x + 2*A*b^2*c^2*e^x - 5*C*a*c^3*e^x - A*c^4*e^x - B*a^2*b^2 + 3*A*a*b^3 - 2*B*b^4 + B*a^2*b*c + C*a^2*b*c - 3*A*a*b^2*c + 2*B*b^3*c + 2*C*b^3*c - C*a^2*c^2 - 3*A*a*b*c^2 + 2*B*b^2*c^2 - 2*C*b^2*c^2 + 3*A*a*c^3 - 2*B*b*c^3 - 2*C*b*c^3 + 2*C*c^4)/((a^4*b - 2*a^2*b^3 + b^5 + a^4*c - 2*a^2*b^2*c + b^4*c + 2*a^2*b*c^2 - 2*b^3*c^2 + 2*a^2*c^3 - 2*b^2*c^3 + b*c^4 + c^5)*(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c)^2)","B",0
801,1,35,0,0.139501," ","integrate((b^2-c^2+a*b*cosh(x)+a*c*sinh(x))/(a+b*cosh(x)+c*sinh(x))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(a e^{x} + b - c\right)}}{b e^{\left(2 \, x\right)} + c e^{\left(2 \, x\right)} + 2 \, a e^{x} + b - c}"," ",0,"-2*(a*e^x + b - c)/(b*e^(2*x) + c*e^(2*x) + 2*a*e^x + b - c)","A",0
802,1,58,0,0.135972," ","integrate((A+C*sinh(x))/(a+b*cosh(x)+b*sinh(x)),x, algorithm=""giac"")","\frac{C e^{\left(-x\right)}}{2 \, a} + \frac{{\left(2 \, A a + C b\right)} x}{2 \, a^{2}} + \frac{{\left(C a^{2} - 2 \, A a b - C b^{2}\right)} \log\left({\left| b e^{x} + a \right|}\right)}{2 \, a^{2} b}"," ",0,"1/2*C*e^(-x)/a + 1/2*(2*A*a + C*b)*x/a^2 + 1/2*(C*a^2 - 2*A*a*b - C*b^2)*log(abs(b*e^x + a))/(a^2*b)","A",0
803,1,58,0,0.133339," ","integrate((A+B*cosh(x))/(a+b*cosh(x)+b*sinh(x)),x, algorithm=""giac"")","-\frac{B e^{\left(-x\right)}}{2 \, a} + \frac{{\left(2 \, A a - B b\right)} x}{2 \, a^{2}} + \frac{{\left(B a^{2} - 2 \, A a b + B b^{2}\right)} \log\left({\left| b e^{x} + a \right|}\right)}{2 \, a^{2} b}"," ",0,"-1/2*B*e^(-x)/a + 1/2*(2*A*a - B*b)*x/a^2 + 1/2*(B*a^2 - 2*A*a*b + B*b^2)*log(abs(b*e^x + a))/(a^2*b)","A",0
804,1,79,0,0.117274," ","integrate((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)+b*sinh(x)),x, algorithm=""giac"")","\frac{{\left(2 \, A a - B b + C b\right)} x}{2 \, a^{2}} - \frac{{\left(B a - C a\right)} e^{\left(-x\right)}}{2 \, a^{2}} + \frac{{\left(B a^{2} + C a^{2} - 2 \, A a b + B b^{2} - C b^{2}\right)} \log\left({\left| b e^{x} + a \right|}\right)}{2 \, a^{2} b}"," ",0,"1/2*(2*A*a - B*b + C*b)*x/a^2 - 1/2*(B*a - C*a)*e^(-x)/a^2 + 1/2*(B*a^2 + C*a^2 - 2*A*a*b + B*b^2 - C*b^2)*log(abs(b*e^x + a))/(a^2*b)","A",0
805,1,49,0,0.132946," ","integrate((A+C*sinh(x))/(a+b*cosh(x)-b*sinh(x)),x, algorithm=""giac"")","-\frac{C x}{2 \, b} + \frac{C e^{x}}{2 \, a} + \frac{{\left(C a^{2} + 2 \, A a b - C b^{2}\right)} \log\left({\left| a e^{x} + b \right|}\right)}{2 \, a^{2} b}"," ",0,"-1/2*C*x/b + 1/2*C*e^x/a + 1/2*(C*a^2 + 2*A*a*b - C*b^2)*log(abs(a*e^x + b))/(a^2*b)","A",0
806,1,48,0,0.134109," ","integrate((A+B*cosh(x))/(a+b*cosh(x)-b*sinh(x)),x, algorithm=""giac"")","\frac{B x}{2 \, b} + \frac{B e^{x}}{2 \, a} - \frac{{\left(B a^{2} - 2 \, A a b + B b^{2}\right)} \log\left({\left| a e^{x} + b \right|}\right)}{2 \, a^{2} b}"," ",0,"1/2*B*x/b + 1/2*B*e^x/a - 1/2*(B*a^2 - 2*A*a*b + B*b^2)*log(abs(a*e^x + b))/(a^2*b)","A",0
807,1,69,0,0.133904," ","integrate((A+B*cosh(x)+C*sinh(x))/(a+b*cosh(x)-b*sinh(x)),x, algorithm=""giac"")","\frac{{\left(B - C\right)} x}{2 \, b} + \frac{B e^{x} + C e^{x}}{2 \, a} - \frac{{\left(B a^{2} - C a^{2} - 2 \, A a b + B b^{2} + C b^{2}\right)} \log\left({\left| a e^{x} + b \right|}\right)}{2 \, a^{2} b}"," ",0,"1/2*(B - C)*x/b + 1/2*(B*e^x + C*e^x)/a - 1/2*(B*a^2 - C*a^2 - 2*A*a*b + B*b^2 + C*b^2)*log(abs(a*e^x + b))/(a^2*b)","A",0
808,1,5,0,0.124714," ","integrate(1/(cosh(x)^2+sinh(x)^2),x, algorithm=""giac"")","\arctan\left(e^{\left(2 \, x\right)}\right)"," ",0,"arctan(e^(2*x))","A",0
809,1,10,0,0.131886," ","integrate(1/(cosh(x)^2+sinh(x)^2)^2,x, algorithm=""giac"")","-\frac{1}{e^{\left(4 \, x\right)} + 1}"," ",0,"-1/(e^(4*x) + 1)","A",0
810,1,46,0,0.133601," ","integrate(1/(cosh(x)^2+sinh(x)^2)^3,x, algorithm=""giac"")","\frac{e^{\left(2 \, x\right)} - e^{\left(-2 \, x\right)}}{2 \, {\left({\left(e^{\left(2 \, x\right)} - e^{\left(-2 \, x\right)}\right)}^{2} + 4\right)}} + \frac{1}{4} \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(4 \, x\right)} - 1\right)} e^{\left(-2 \, x\right)}\right)"," ",0,"1/2*(e^(2*x) - e^(-2*x))/((e^(2*x) - e^(-2*x))^2 + 4) + 1/4*arctan(1/2*(e^(4*x) - 1)*e^(-2*x))","B",0
811,1,1,0,0.111610," ","integrate(1/(cosh(x)^2-sinh(x)^2),x, algorithm=""giac"")","x"," ",0,"x","A",0
812,1,1,0,0.110055," ","integrate(1/(cosh(x)^2-sinh(x)^2)^2,x, algorithm=""giac"")","x"," ",0,"x","A",0
813,1,1,0,0.113341," ","integrate(1/(cosh(x)^2-sinh(x)^2)^3,x, algorithm=""giac"")","x"," ",0,"x","A",0
814,1,1,0,0.110552," ","integrate(1/(sech(x)^2+tanh(x)^2),x, algorithm=""giac"")","x"," ",0,"x","A",0
815,1,1,0,0.111864," ","integrate(1/(sech(x)^2+tanh(x)^2)^2,x, algorithm=""giac"")","x"," ",0,"x","A",0
816,1,1,0,0.111608," ","integrate(1/(sech(x)^2+tanh(x)^2)^3,x, algorithm=""giac"")","x"," ",0,"x","A",0
817,1,41,0,0.141572," ","integrate(1/(sech(x)^2-tanh(x)^2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{2} \log\left(\frac{{\left| -4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}{{\left| 4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}\right) - x"," ",0,"-1/2*sqrt(2)*log(abs(-4*sqrt(2) + 2*e^(2*x) - 6)/abs(4*sqrt(2) + 2*e^(2*x) - 6)) - x","B",0
818,1,63,0,0.140287," ","integrate(1/(sech(x)^2-tanh(x)^2)^2,x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{{\left| -4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}{{\left| 4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}\right) + x - \frac{2 \, {\left(3 \, e^{\left(2 \, x\right)} - 1\right)}}{e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1}"," ",0,"1/4*sqrt(2)*log(abs(-4*sqrt(2) + 2*e^(2*x) - 6)/abs(4*sqrt(2) + 2*e^(2*x) - 6)) + x - 2*(3*e^(2*x) - 1)/(e^(4*x) - 6*e^(2*x) + 1)","B",0
819,1,77,0,0.123262," ","integrate(1/(sech(x)^2-tanh(x)^2)^3,x, algorithm=""giac"")","-\frac{7}{16} \, \sqrt{2} \log\left(\frac{{\left| -4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}{{\left| 4 \, \sqrt{2} + 2 \, e^{\left(2 \, x\right)} - 6 \right|}}\right) - x + \frac{17 \, e^{\left(6 \, x\right)} - 57 \, e^{\left(4 \, x\right)} + 19 \, e^{\left(2 \, x\right)} - 3}{2 \, {\left(e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} + 1\right)}^{2}}"," ",0,"-7/16*sqrt(2)*log(abs(-4*sqrt(2) + 2*e^(2*x) - 6)/abs(4*sqrt(2) + 2*e^(2*x) - 6)) - x + 1/2*(17*e^(6*x) - 57*e^(4*x) + 19*e^(2*x) - 3)/(e^(4*x) - 6*e^(2*x) + 1)^2","A",0
820,1,36,0,0.145285," ","integrate(1/(coth(x)^2+csch(x)^2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{2} \log\left(-\frac{2 \, \sqrt{2} - e^{\left(2 \, x\right)} - 3}{2 \, \sqrt{2} + e^{\left(2 \, x\right)} + 3}\right) + x"," ",0,"-1/2*sqrt(2)*log(-(2*sqrt(2) - e^(2*x) - 3)/(2*sqrt(2) + e^(2*x) + 3)) + x","B",0
821,1,60,0,0.116841," ","integrate(1/(coth(x)^2+csch(x)^2)^2,x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{2} \log\left(-\frac{2 \, \sqrt{2} - e^{\left(2 \, x\right)} - 3}{2 \, \sqrt{2} + e^{\left(2 \, x\right)} + 3}\right) + x + \frac{2 \, {\left(3 \, e^{\left(2 \, x\right)} + 1\right)}}{e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} + 1}"," ",0,"-1/4*sqrt(2)*log(-(2*sqrt(2) - e^(2*x) - 3)/(2*sqrt(2) + e^(2*x) + 3)) + x + 2*(3*e^(2*x) + 1)/(e^(4*x) + 6*e^(2*x) + 1)","B",0
822,1,72,0,0.132051," ","integrate(1/(coth(x)^2+csch(x)^2)^3,x, algorithm=""giac"")","-\frac{7}{16} \, \sqrt{2} \log\left(-\frac{2 \, \sqrt{2} - e^{\left(2 \, x\right)} - 3}{2 \, \sqrt{2} + e^{\left(2 \, x\right)} + 3}\right) + x + \frac{17 \, e^{\left(6 \, x\right)} + 57 \, e^{\left(4 \, x\right)} + 19 \, e^{\left(2 \, x\right)} + 3}{2 \, {\left(e^{\left(4 \, x\right)} + 6 \, e^{\left(2 \, x\right)} + 1\right)}^{2}}"," ",0,"-7/16*sqrt(2)*log(-(2*sqrt(2) - e^(2*x) - 3)/(2*sqrt(2) + e^(2*x) + 3)) + x + 1/2*(17*e^(6*x) + 57*e^(4*x) + 19*e^(2*x) + 3)/(e^(4*x) + 6*e^(2*x) + 1)^2","A",0
823,1,1,0,0.110570," ","integrate(1/(coth(x)^2-csch(x)^2),x, algorithm=""giac"")","x"," ",0,"x","A",0
824,1,1,0,0.110075," ","integrate(1/(coth(x)^2-csch(x)^2)^2,x, algorithm=""giac"")","x"," ",0,"x","A",0
825,1,1,0,0.113489," ","integrate(1/(coth(x)^2-csch(x)^2)^3,x, algorithm=""giac"")","x"," ",0,"x","A",0
826,1,1,0,94.701986," ","integrate(1/(a+b*sinh(x)+c*sinh(x)^2),x, algorithm=""giac"")","0"," ",0,"0","A",0
827,-1,0,0,0.000000," ","integrate(sinh(x)/(a+b*sinh(x)+c*sinh(x)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
828,1,5,0,2.113782," ","integrate(sinh(x)^2/(a+b*sinh(x)+c*sinh(x)^2),x, algorithm=""giac"")","\frac{x}{c}"," ",0,"x/c","A",0
829,1,24,0,6.459138," ","integrate(sinh(x)^3/(a+b*sinh(x)+c*sinh(x)^2),x, algorithm=""giac"")","-\frac{b x}{c^{2}} + \frac{e^{\left(-x\right)}}{2 \, c} + \frac{e^{x}}{2 \, c}"," ",0,"-b*x/c^2 + 1/2*e^(-x)/c + 1/2*e^x/c","A",0
830,1,28,0,0.129411," ","integrate((a+b*sinh(x))/(b^2-2*a*b*sinh(x)+a^2*sinh(x)^2),x, algorithm=""giac"")","-\frac{2 \, {\left(b e^{x} + a\right)}}{{\left(a e^{\left(2 \, x\right)} - 2 \, b e^{x} - a\right)} a}"," ",0,"-2*(b*e^x + a)/((a*e^(2*x) - 2*b*e^x - a)*a)","A",0
831,1,1,0,4.277458," ","integrate((d+e*sinh(x))/(a+b*sinh(x)+c*sinh(x)^2),x, algorithm=""giac"")","0"," ",0,"0","A",0
832,1,1,0,93.578115," ","integrate(1/(a+b*cosh(x)+c*cosh(x)^2),x, algorithm=""giac"")","0"," ",0,"0","A",0
833,-1,0,0,0.000000," ","integrate(cosh(x)/(a+b*cosh(x)+c*cosh(x)^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
834,1,5,0,1.179601," ","integrate(cosh(x)^2/(a+b*cosh(x)+c*cosh(x)^2),x, algorithm=""giac"")","\frac{x}{c}"," ",0,"x/c","A",0
835,1,24,0,5.383770," ","integrate(cosh(x)^3/(a+b*cosh(x)+c*cosh(x)^2),x, algorithm=""giac"")","-\frac{b x}{c^{2}} - \frac{e^{\left(-x\right)}}{2 \, c} + \frac{e^{x}}{2 \, c}"," ",0,"-b*x/c^2 - 1/2*e^(-x)/c + 1/2*e^x/c","A",0
836,1,26,0,0.141288," ","integrate((a+b*cosh(x))/(b^2+2*a*b*cosh(x)+a^2*cosh(x)^2),x, algorithm=""giac"")","-\frac{2 \, {\left(b e^{x} + a\right)}}{{\left(a e^{\left(2 \, x\right)} + 2 \, b e^{x} + a\right)} a}"," ",0,"-2*(b*e^x + a)/((a*e^(2*x) + 2*b*e^x + a)*a)","B",0
837,1,1,0,4.299632," ","integrate((d+e*cosh(x))/(a+b*cosh(x)+c*cosh(x)^2),x, algorithm=""giac"")","0"," ",0,"0","A",0
838,1,46,0,0.120103," ","integrate(sinh(x)^2/(a*cosh(x)^2+b*sinh(x)^2),x, algorithm=""giac"")","-\frac{a \arctan\left(\frac{a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b}{2 \, \sqrt{a b}}\right)}{\sqrt{a b} {\left(a + b\right)}} + \frac{x}{a + b}"," ",0,"-a*arctan(1/2*(a*e^(2*x) + b*e^(2*x) + a - b)/sqrt(a*b))/(sqrt(a*b)*(a + b)) + x/(a + b)","A",0
839,1,45,0,0.139473," ","integrate(cosh(x)^2/(a*cosh(x)^2+b*sinh(x)^2),x, algorithm=""giac"")","\frac{b \arctan\left(\frac{a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b}{2 \, \sqrt{a b}}\right)}{\sqrt{a b} {\left(a + b\right)}} + \frac{x}{a + b}"," ",0,"b*arctan(1/2*(a*e^(2*x) + b*e^(2*x) + a - b)/sqrt(a*b))/(sqrt(a*b)*(a + b)) + x/(a + b)","A",0
840,1,33,0,0.132758," ","integrate(sinh(x)^3/(cosh(x)^3+sinh(x)^3),x, algorithm=""giac"")","-\frac{1}{12} \, {\left(3 \, e^{\left(2 \, x\right)} - 1\right)} e^{\left(-2 \, x\right)} - \frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} e^{\left(2 \, x\right)}\right) + \frac{1}{2} \, x"," ",0,"-1/12*(3*e^(2*x) - 1)*e^(-2*x) - 2/9*sqrt(3)*arctan(1/3*sqrt(3)*e^(2*x)) + 1/2*x","A",0
841,1,33,0,0.113647," ","integrate(cosh(x)^3/(cosh(x)^3+sinh(x)^3),x, algorithm=""giac"")","-\frac{1}{12} \, {\left(3 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-2 \, x\right)} + \frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} e^{\left(2 \, x\right)}\right) + \frac{1}{2} \, x"," ",0,"-1/12*(3*e^(2*x) + 1)*e^(-2*x) + 2/9*sqrt(3)*arctan(1/3*sqrt(3)*e^(2*x)) + 1/2*x","A",0
842,0,0,0,0.000000," ","integrate(x*csch(x)*sech(x)/(a*sech(x)^2)^(1/2),x, algorithm=""giac"")","\int \frac{x \operatorname{csch}\left(x\right) \operatorname{sech}\left(x\right)}{\sqrt{a \operatorname{sech}\left(x\right)^{2}}}\,{d x}"," ",0,"integrate(x*csch(x)*sech(x)/sqrt(a*sech(x)^2), x)","F",0
843,0,0,0,0.000000," ","integrate(x^2*csch(x)*sech(x)/(a*sech(x)^2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{2} \operatorname{csch}\left(x\right) \operatorname{sech}\left(x\right)}{\sqrt{a \operatorname{sech}\left(x\right)^{2}}}\,{d x}"," ",0,"integrate(x^2*csch(x)*sech(x)/sqrt(a*sech(x)^2), x)","F",0
844,0,0,0,0.000000," ","integrate(x^3*csch(x)*sech(x)/(a*sech(x)^2)^(1/2),x, algorithm=""giac"")","\int \frac{x^{3} \operatorname{csch}\left(x\right) \operatorname{sech}\left(x\right)}{\sqrt{a \operatorname{sech}\left(x\right)^{2}}}\,{d x}"," ",0,"integrate(x^3*csch(x)*sech(x)/sqrt(a*sech(x)^2), x)","F",0
845,0,0,0,0.000000," ","integrate(x*csch(x)*sech(x)/(a*sech(x)^4)^(1/2),x, algorithm=""giac"")","\int \frac{x \operatorname{csch}\left(x\right) \operatorname{sech}\left(x\right)}{\sqrt{a \operatorname{sech}\left(x\right)^{4}}}\,{d x}"," ",0,"integrate(x*csch(x)*sech(x)/sqrt(a*sech(x)^4), x)","F",0
846,0,0,0,0.000000," ","integrate(x^2*csch(x)*sech(x)/(a*sech(x)^4)^(1/2),x, algorithm=""giac"")","\int \frac{x^{2} \operatorname{csch}\left(x\right) \operatorname{sech}\left(x\right)}{\sqrt{a \operatorname{sech}\left(x\right)^{4}}}\,{d x}"," ",0,"integrate(x^2*csch(x)*sech(x)/sqrt(a*sech(x)^4), x)","F",0
847,0,0,0,0.000000," ","integrate(x^3*csch(x)*sech(x)/(a*sech(x)^4)^(1/2),x, algorithm=""giac"")","\int \frac{x^{3} \operatorname{csch}\left(x\right) \operatorname{sech}\left(x\right)}{\sqrt{a \operatorname{sech}\left(x\right)^{4}}}\,{d x}"," ",0,"integrate(x^3*csch(x)*sech(x)/sqrt(a*sech(x)^4), x)","F",0
848,0,0,0,0.000000," ","integrate(x*csch(x)*sech(x)*(a*sech(x)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{a \operatorname{sech}\left(x\right)^{2}} x \operatorname{csch}\left(x\right) \operatorname{sech}\left(x\right)\,{d x}"," ",0,"integrate(sqrt(a*sech(x)^2)*x*csch(x)*sech(x), x)","F",0
849,0,0,0,0.000000," ","integrate(x^2*csch(x)*sech(x)*(a*sech(x)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{a \operatorname{sech}\left(x\right)^{2}} x^{2} \operatorname{csch}\left(x\right) \operatorname{sech}\left(x\right)\,{d x}"," ",0,"integrate(sqrt(a*sech(x)^2)*x^2*csch(x)*sech(x), x)","F",0
850,0,0,0,0.000000," ","integrate(x^3*csch(x)*sech(x)*(a*sech(x)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{a \operatorname{sech}\left(x\right)^{2}} x^{3} \operatorname{csch}\left(x\right) \operatorname{sech}\left(x\right)\,{d x}"," ",0,"integrate(sqrt(a*sech(x)^2)*x^3*csch(x)*sech(x), x)","F",0
851,0,0,0,0.000000," ","integrate(x*csch(x)*sech(x)*(a*sech(x)^4)^(1/2),x, algorithm=""giac"")","\int \sqrt{a \operatorname{sech}\left(x\right)^{4}} x \operatorname{csch}\left(x\right) \operatorname{sech}\left(x\right)\,{d x}"," ",0,"integrate(sqrt(a*sech(x)^4)*x*csch(x)*sech(x), x)","F",0
852,0,0,0,0.000000," ","integrate(x^2*csch(x)*sech(x)*(a*sech(x)^4)^(1/2),x, algorithm=""giac"")","\int \sqrt{a \operatorname{sech}\left(x\right)^{4}} x^{2} \operatorname{csch}\left(x\right) \operatorname{sech}\left(x\right)\,{d x}"," ",0,"integrate(sqrt(a*sech(x)^4)*x^2*csch(x)*sech(x), x)","F",0
853,0,0,0,0.000000," ","integrate(x^3*csch(x)*sech(x)*(a*sech(x)^4)^(1/2),x, algorithm=""giac"")","\int \sqrt{a \operatorname{sech}\left(x\right)^{4}} x^{3} \operatorname{csch}\left(x\right) \operatorname{sech}\left(x\right)\,{d x}"," ",0,"integrate(sqrt(a*sech(x)^4)*x^3*csch(x)*sech(x), x)","F",0
854,0,0,0,0.000000," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))^m,x, algorithm=""giac"")","\int {\left(b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((b*cosh(d*x + c)*sinh(d*x + c) + a)^m, x)","F",0
855,1,138,0,0.118709," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(6 \, d x + 6 \, c\right)}}{384 \, d} + \frac{3 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)}}{64 \, d} - \frac{3 \, a b^{2} e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d} + \frac{b^{3} e^{\left(-6 \, d x - 6 \, c\right)}}{384 \, d} + \frac{1}{8} \, {\left(8 \, a^{3} - 3 \, a b^{2}\right)} x + \frac{3 \, {\left(16 \, a^{2} b - b^{3}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{128 \, d} + \frac{3 \, {\left(16 \, a^{2} b - b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{128 \, d}"," ",0,"1/384*b^3*e^(6*d*x + 6*c)/d + 3/64*a*b^2*e^(4*d*x + 4*c)/d - 3/64*a*b^2*e^(-4*d*x - 4*c)/d + 1/384*b^3*e^(-6*d*x - 6*c)/d + 1/8*(8*a^3 - 3*a*b^2)*x + 3/128*(16*a^2*b - b^3)*e^(2*d*x + 2*c)/d + 3/128*(16*a^2*b - b^3)*e^(-2*d*x - 2*c)/d","A",0
856,1,81,0,0.119150," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))^2,x, algorithm=""giac"")","\frac{1}{8} \, {\left(8 \, a^{2} - b^{2}\right)} x + \frac{b^{2} e^{\left(4 \, d x + 4 \, c\right)}}{64 \, d} + \frac{a b e^{\left(2 \, d x + 2 \, c\right)}}{4 \, d} + \frac{a b e^{\left(-2 \, d x - 2 \, c\right)}}{4 \, d} - \frac{b^{2} e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d}"," ",0,"1/8*(8*a^2 - b^2)*x + 1/64*b^2*e^(4*d*x + 4*c)/d + 1/4*a*b*e^(2*d*x + 2*c)/d + 1/4*a*b*e^(-2*d*x - 2*c)/d - 1/64*b^2*e^(-4*d*x - 4*c)/d","A",0
857,1,34,0,0.134241," ","integrate(a+b*cosh(d*x+c)*sinh(d*x+c),x, algorithm=""giac"")","a x + \frac{1}{8} \, b {\left(\frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)}"," ",0,"a*x + 1/8*b*(e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d)","A",0
858,1,79,0,0.407165," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c)),x, algorithm=""giac"")","\frac{\log\left(\frac{{\left| 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + 4 \, a - 2 \, \sqrt{4 \, a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + 4 \, a + 2 \, \sqrt{4 \, a^{2} + b^{2}} \right|}}\right)}{\sqrt{4 \, a^{2} + b^{2}} d}"," ",0,"log(abs(2*b*e^(2*d*x + 2*c) + 4*a - 2*sqrt(4*a^2 + b^2))/abs(2*b*e^(2*d*x + 2*c) + 4*a + 2*sqrt(4*a^2 + b^2)))/(sqrt(4*a^2 + b^2)*d)","A",0
859,1,140,0,0.505002," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c))^2,x, algorithm=""giac"")","\frac{4 \, {\left(\frac{a \log\left(\frac{{\left| 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + 4 \, a - 2 \, \sqrt{4 \, a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + 4 \, a + 2 \, \sqrt{4 \, a^{2} + b^{2}} \right|}}\right)}{{\left(4 \, a^{2} + b^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, a e^{\left(2 \, d x + 2 \, c\right)} - b}{{\left(4 \, a^{2} + b^{2}\right)} {\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - b\right)}}\right)}}{d}"," ",0,"4*(a*log(abs(2*b*e^(2*d*x + 2*c) + 4*a - 2*sqrt(4*a^2 + b^2))/abs(2*b*e^(2*d*x + 2*c) + 4*a + 2*sqrt(4*a^2 + b^2)))/(4*a^2 + b^2)^(3/2) + (2*a*e^(2*d*x + 2*c) - b)/((4*a^2 + b^2)*(b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - b)))/d","A",0
860,1,256,0,0.898052," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c))^3,x, algorithm=""giac"")","\frac{2 \, {\left(\frac{{\left(8 \, a^{2} - b^{2}\right)} \log\left(\frac{{\left| 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + 4 \, a - 2 \, \sqrt{4 \, a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{\left(2 \, d x + 2 \, c\right)} + 4 \, a + 2 \, \sqrt{4 \, a^{2} + b^{2}} \right|}}\right)}{{\left(16 \, a^{4} + 8 \, a^{2} b^{2} + b^{4}\right)} \sqrt{4 \, a^{2} + b^{2}}} + \frac{2 \, {\left(8 \, a^{2} b e^{\left(6 \, d x + 6 \, c\right)} - b^{3} e^{\left(6 \, d x + 6 \, c\right)} + 48 \, a^{3} e^{\left(4 \, d x + 4 \, c\right)} - 6 \, a b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 40 \, a^{2} b e^{\left(2 \, d x + 2 \, c\right)} - b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 6 \, a b^{2}\right)}}{{\left(16 \, a^{4} + 8 \, a^{2} b^{2} + b^{4}\right)} {\left(b e^{\left(4 \, d x + 4 \, c\right)} + 4 \, a e^{\left(2 \, d x + 2 \, c\right)} - b\right)}^{2}}\right)}}{d}"," ",0,"2*((8*a^2 - b^2)*log(abs(2*b*e^(2*d*x + 2*c) + 4*a - 2*sqrt(4*a^2 + b^2))/abs(2*b*e^(2*d*x + 2*c) + 4*a + 2*sqrt(4*a^2 + b^2)))/((16*a^4 + 8*a^2*b^2 + b^4)*sqrt(4*a^2 + b^2)) + 2*(8*a^2*b*e^(6*d*x + 6*c) - b^3*e^(6*d*x + 6*c) + 48*a^3*e^(4*d*x + 4*c) - 6*a*b^2*e^(4*d*x + 4*c) - 40*a^2*b*e^(2*d*x + 2*c) - b^3*e^(2*d*x + 2*c) + 6*a*b^2)/((16*a^4 + 8*a^2*b^2 + b^4)*(b*e^(4*d*x + 4*c) + 4*a*e^(2*d*x + 2*c) - b)^2))/d","A",0
861,-2,0,0,0.000000," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))^(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:index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
862,-2,0,0,0.000000," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
863,-2,0,0,0.000000," ","integrate((a+b*cosh(d*x+c)*sinh(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
864,-2,0,0,0.000000," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
865,-2,0,0,0.000000," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
866,-2,0,0,0.000000," ","integrate(1/(a+b*cosh(d*x+c)*sinh(d*x+c))^(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:index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
867,0,0,0,0.000000," ","integrate(x^3/(a+b*cosh(x)*sinh(x)),x, algorithm=""giac"")","\int \frac{x^{3}}{b \cosh\left(x\right) \sinh\left(x\right) + a}\,{d x}"," ",0,"integrate(x^3/(b*cosh(x)*sinh(x) + a), x)","F",0
868,0,0,0,0.000000," ","integrate(x^2/(a+b*cosh(x)*sinh(x)),x, algorithm=""giac"")","\int \frac{x^{2}}{b \cosh\left(x\right) \sinh\left(x\right) + a}\,{d x}"," ",0,"integrate(x^2/(b*cosh(x)*sinh(x) + a), x)","F",0
869,0,0,0,0.000000," ","integrate(x/(a+b*cosh(x)*sinh(x)),x, algorithm=""giac"")","\int \frac{x}{b \cosh\left(x\right) \sinh\left(x\right) + a}\,{d x}"," ",0,"integrate(x/(b*cosh(x)*sinh(x) + a), x)","F",0
870,0,0,0,0.000000," ","integrate(1/x/(a+b*cosh(x)*sinh(x)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \cosh\left(x\right) \sinh\left(x\right) + a\right)} x}\,{d x}"," ",0,"integrate(1/((b*cosh(x)*sinh(x) + a)*x), x)","F",0
871,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sinh(e*x+d)^n,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \sinh\left(e x + d\right)^{n}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*sinh(e*x + d)^n, x)","F",0
872,1,53,0,0.137832," ","integrate(exp(2*b*x+2*a)*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(e^{\left(5 \, b x + 10 \, a\right)} - 5 \, e^{\left(3 \, b x + 8 \, a\right)} + 15 \, e^{\left(b x + 6 \, a\right)}\right)} e^{\left(-5 \, a\right)} + 5 \, e^{\left(-b x - a\right)}}{40 \, b}"," ",0,"1/40*((e^(5*b*x + 10*a) - 5*e^(3*b*x + 8*a) + 15*e^(b*x + 6*a))*e^(-5*a) + 5*e^(-b*x - a))/b","A",0
873,1,30,0,0.132049," ","integrate(exp(2*b*x+2*a)*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{4 \, b x + e^{\left(4 \, b x + 4 \, a\right)} - 4 \, e^{\left(2 \, b x + 2 \, a\right)}}{16 \, b}"," ",0,"1/16*(4*b*x + e^(4*b*x + 4*a) - 4*e^(2*b*x + 2*a))/b","A",0
874,1,23,0,0.118134," ","integrate(exp(2*b*x+2*a)*sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + 3 \, a\right)} - 3 \, e^{\left(b x + a\right)}}{6 \, b}"," ",0,"1/6*(e^(3*b*x + 3*a) - 3*e^(b*x + a))/b","A",0
875,1,50,0,0.115478," ","integrate(exp(2*b*x+2*a)*csch(b*x+a),x, algorithm=""giac"")","-\frac{{\left(e^{\left(-2 \, a\right)} \log\left(e^{\left(b x + a\right)} + 1\right) - e^{\left(-2 \, a\right)} \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right) - 2 \, e^{\left(b x - a\right)}\right)} e^{\left(2 \, a\right)}}{b}"," ",0,"-(e^(-2*a)*log(e^(b*x + a) + 1) - e^(-2*a)*log(abs(e^(b*x + a) - 1)) - 2*e^(b*x - a))*e^(2*a)/b","B",0
876,1,48,0,0.154424," ","integrate(exp(2*b*x+2*a)*csch(b*x+a)^2,x, algorithm=""giac"")","\frac{2 \, {\left(e^{\left(-2 \, a\right)} \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right) - \frac{e^{\left(2 \, b x\right)}}{e^{\left(2 \, b x + 2 \, a\right)} - 1}\right)} e^{\left(2 \, a\right)}}{b}"," ",0,"2*(e^(-2*a)*log(abs(e^(2*b*x + 2*a) - 1)) - e^(2*b*x)/(e^(2*b*x + 2*a) - 1))*e^(2*a)/b","A",0
877,1,78,0,0.133806," ","integrate(exp(2*b*x+2*a)*csch(b*x+a)^3,x, algorithm=""giac"")","-\frac{{\left(3 \, e^{\left(-2 \, a\right)} \log\left(e^{\left(b x + a\right)} + 1\right) - 3 \, e^{\left(-2 \, a\right)} \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right) + \frac{2 \, {\left(5 \, e^{\left(3 \, b x + 2 \, a\right)} - 3 \, e^{\left(b x\right)}\right)} e^{\left(-a\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}}\right)} e^{\left(2 \, a\right)}}{2 \, b}"," ",0,"-1/2*(3*e^(-2*a)*log(e^(b*x + a) + 1) - 3*e^(-2*a)*log(abs(e^(b*x + a) - 1)) + 2*(5*e^(3*b*x + 2*a) - 3*e^(b*x))*e^(-a)/(e^(2*b*x + 2*a) - 1)^2)*e^(2*a)/b","A",0
878,1,84,0,0.120356," ","integrate(exp(b*x+a)*sinh(d*x+c)^3,x, algorithm=""giac"")","\frac{e^{\left(b x + 3 \, d x + a + 3 \, c\right)}}{8 \, {\left(b + 3 \, d\right)}} - \frac{3 \, e^{\left(b x + d x + a + c\right)}}{8 \, {\left(b + d\right)}} + \frac{3 \, e^{\left(b x - d x + a - c\right)}}{8 \, {\left(b - d\right)}} - \frac{e^{\left(b x - 3 \, d x + a - 3 \, c\right)}}{8 \, {\left(b - 3 \, d\right)}}"," ",0,"1/8*e^(b*x + 3*d*x + a + 3*c)/(b + 3*d) - 3/8*e^(b*x + d*x + a + c)/(b + d) + 3/8*e^(b*x - d*x + a - c)/(b - d) - 1/8*e^(b*x - 3*d*x + a - 3*c)/(b - 3*d)","A",0
879,1,56,0,0.119097," ","integrate(exp(b*x+a)*sinh(d*x+c)^2,x, algorithm=""giac"")","\frac{e^{\left(b x + 2 \, d x + a + 2 \, c\right)}}{4 \, {\left(b + 2 \, d\right)}} + \frac{e^{\left(b x - 2 \, d x + a - 2 \, c\right)}}{4 \, {\left(b - 2 \, d\right)}} - \frac{e^{\left(b x + a\right)}}{2 \, b}"," ",0,"1/4*e^(b*x + 2*d*x + a + 2*c)/(b + 2*d) + 1/4*e^(b*x - 2*d*x + a - 2*c)/(b - 2*d) - 1/2*e^(b*x + a)/b","A",0
880,1,40,0,0.135698," ","integrate(exp(b*x+a)*sinh(d*x+c),x, algorithm=""giac"")","\frac{e^{\left(b x + d x + a + c\right)}}{2 \, {\left(b + d\right)}} - \frac{e^{\left(b x - d x + a - c\right)}}{2 \, {\left(b - d\right)}}"," ",0,"1/2*e^(b*x + d*x + a + c)/(b + d) - 1/2*e^(b*x - d*x + a - c)/(b - d)","A",0
881,0,0,0,0.000000," ","integrate(exp(b*x+a)*csch(d*x+c),x, algorithm=""giac"")","\int \operatorname{csch}\left(d x + c\right) e^{\left(b x + a\right)}\,{d x}"," ",0,"integrate(csch(d*x + c)*e^(b*x + a), x)","F",0
882,0,0,0,0.000000," ","integrate(exp(d*x+c)*csch(b*x+a)^2,x, algorithm=""giac"")","\int \operatorname{csch}\left(b x + a\right)^{2} e^{\left(d x + c\right)}\,{d x}"," ",0,"integrate(csch(b*x + a)^2*e^(d*x + c), x)","F",0
883,0,0,0,0.000000," ","integrate(exp(d*x+c)*csch(b*x+a)^3,x, algorithm=""giac"")","\int \operatorname{csch}\left(b x + a\right)^{3} e^{\left(d x + c\right)}\,{d x}"," ",0,"integrate(csch(b*x + a)^3*e^(d*x + c), x)","F",0
884,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*cosh(e*x+d)^n,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \cosh\left(e x + d\right)^{n}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*cosh(e*x + d)^n, x)","F",0
885,1,84,0,0.120388," ","integrate(exp(b*x+a)*cosh(d*x+c)^3,x, algorithm=""giac"")","\frac{e^{\left(b x + 3 \, d x + a + 3 \, c\right)}}{8 \, {\left(b + 3 \, d\right)}} + \frac{3 \, e^{\left(b x + d x + a + c\right)}}{8 \, {\left(b + d\right)}} + \frac{3 \, e^{\left(b x - d x + a - c\right)}}{8 \, {\left(b - d\right)}} + \frac{e^{\left(b x - 3 \, d x + a - 3 \, c\right)}}{8 \, {\left(b - 3 \, d\right)}}"," ",0,"1/8*e^(b*x + 3*d*x + a + 3*c)/(b + 3*d) + 3/8*e^(b*x + d*x + a + c)/(b + d) + 3/8*e^(b*x - d*x + a - c)/(b - d) + 1/8*e^(b*x - 3*d*x + a - 3*c)/(b - 3*d)","A",0
886,1,56,0,0.117391," ","integrate(exp(b*x+a)*cosh(d*x+c)^2,x, algorithm=""giac"")","\frac{e^{\left(b x + 2 \, d x + a + 2 \, c\right)}}{4 \, {\left(b + 2 \, d\right)}} + \frac{e^{\left(b x - 2 \, d x + a - 2 \, c\right)}}{4 \, {\left(b - 2 \, d\right)}} + \frac{e^{\left(b x + a\right)}}{2 \, b}"," ",0,"1/4*e^(b*x + 2*d*x + a + 2*c)/(b + 2*d) + 1/4*e^(b*x - 2*d*x + a - 2*c)/(b - 2*d) + 1/2*e^(b*x + a)/b","A",0
887,1,40,0,0.110795," ","integrate(exp(b*x+a)*cosh(d*x+c),x, algorithm=""giac"")","\frac{e^{\left(b x + d x + a + c\right)}}{2 \, {\left(b + d\right)}} + \frac{e^{\left(b x - d x + a - c\right)}}{2 \, {\left(b - d\right)}}"," ",0,"1/2*e^(b*x + d*x + a + c)/(b + d) + 1/2*e^(b*x - d*x + a - c)/(b - d)","A",0
888,0,0,0,0.000000," ","integrate(exp(b*x+a)*sech(d*x+c),x, algorithm=""giac"")","\int e^{\left(b x + a\right)} \operatorname{sech}\left(d x + c\right)\,{d x}"," ",0,"integrate(e^(b*x + a)*sech(d*x + c), x)","F",0
889,0,0,0,0.000000," ","integrate(exp(b*x+a)*sech(d*x+c)^2,x, algorithm=""giac"")","\int e^{\left(b x + a\right)} \operatorname{sech}\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate(e^(b*x + a)*sech(d*x + c)^2, x)","F",0
890,0,0,0,0.000000," ","integrate(exp(b*x+a)*sech(d*x+c)^3,x, algorithm=""giac"")","\int e^{\left(b x + a\right)} \operatorname{sech}\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate(e^(b*x + a)*sech(d*x + c)^3, x)","F",0
891,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sech(e*x+d)^n,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \operatorname{sech}\left(e x + d\right)^{n}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*sech(e*x + d)^n, x)","F",0
892,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csch(e*x+d)^n,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \operatorname{csch}\left(e x + d\right)^{n}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*csch(e*x + d)^n, x)","F",0
893,1,1574,0,0.298283," ","integrate(F^(c*(b*x+a))*(f+I*f*sinh(e*x+d))^2,x, algorithm=""giac"")","3 \, {\left(\frac{2 \, b c f^{2} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f^{2} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{6 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)} + \frac{6 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)} f^{2} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f^{2} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)} x + 2 \, d\right)} - \frac{1}{2} i \, {\left(\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 \, e} - \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)} x + 2 \, d\right)} - 2 \, {\left(\frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f^{2} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}} + \frac{2 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)} f^{2} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} + \frac{1}{2} \, {\left(\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) + 2 \, e} + \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) + 2 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} + 2 \, {\left(\frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f^{2} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}} + \frac{2 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)} f^{2} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)} + \frac{1}{2} \, {\left(-\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) - 2 \, e} - \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) - 2 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)} - \frac{1}{2} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)} f^{2} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f^{2} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)} x - 2 \, d\right)} - \frac{1}{2} i \, {\left(\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 \, e} - \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)} x - 2 \, d\right)}"," ",0,"3*(2*b*c*f^2*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2) - (pi*b*c*sgn(F) - pi*b*c)*f^2*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-6*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F))) + 6*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F))))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*(2*(b*c*log(abs(F)) + 2*e)*f^2*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c)*f^2*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + 2*e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + 2*e)*x + 2*d) - 1/2*I*(2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*e) - 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + 2*e)*x + 2*d) - 2*((pi*b*c*sgn(F) - pi*b*c)*f^2*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2) + 2*(b*c*log(abs(F)) + e)*f^2*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) + 1/2*(2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F)) + 2*e) + 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F)) + 2*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) + 2*((pi*b*c*sgn(F) - pi*b*c)*f^2*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2) + 2*(b*c*log(abs(F)) - e)*f^2*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d) + 1/2*(-2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F)) - 2*e) - 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F)) - 2*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d) - 1/2*(2*(b*c*log(abs(F)) - 2*e)*f^2*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c)*f^2*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - 2*e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - 2*e)*x - 2*d) - 1/2*I*(2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*e) - 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - 2*e)*x - 2*d)","B",0
894,1,899,0,0.214391," ","integrate(F^(c*(b*x+a))*(f+I*f*sinh(e*x+d)),x, algorithm=""giac"")","2 \, {\left(\frac{2 \, b c f \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right)} + \frac{2 i \, f e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right)}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - {\left(\frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}} + \frac{2 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)} f \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} + \frac{1}{2} \, {\left(\frac{2 i \, f e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 \, e} + \frac{2 i \, f e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} + {\left(\frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}} + \frac{2 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)} f \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)} + \frac{1}{2} \, {\left(-\frac{2 i \, f e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 \, e} - \frac{2 i \, f e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)}"," ",0,"2*(2*b*c*f*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2) - (pi*b*c*sgn(F) - pi*b*c)*f*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*f*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F))) + 2*I*f*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F))))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - ((pi*b*c*sgn(F) - pi*b*c)*f*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2) + 2*(b*c*log(abs(F)) + e)*f*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) + 1/2*(2*I*f*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*e) + 2*I*f*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) + ((pi*b*c*sgn(F) - pi*b*c)*f*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2) + 2*(b*c*log(abs(F)) - e)*f*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d) + 1/2*(-2*I*f*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*e) - 2*I*f*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d)","B",0
895,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(f+I*f*sinh(e*x+d)),x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{i \, f \sinh\left(e x + d\right) + f}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(I*f*sinh(e*x + d) + f), x)","F",0
896,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(f+I*f*sinh(e*x+d))^2,x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{{\left(i \, f \sinh\left(e x + d\right) + f\right)}^{2}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(I*f*sinh(e*x + d) + f)^2, x)","F",0
897,1,1576,0,0.287473," ","integrate(F^(c*(b*x+a))*(f+f*cosh(e*x+d))^2,x, algorithm=""giac"")","3 \, {\left(\frac{2 \, b c f^{2} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f^{2} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{6 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)} + \frac{6 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)} f^{2} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f^{2} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)} x + 2 \, d\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 \, e} + \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)} x + 2 \, d\right)} + 2 \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)} f^{2} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f^{2} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) + 2 \, e} + \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) + 2 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} + 2 \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)} f^{2} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f^{2} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) - 2 \, e} + \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) - 2 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)} + \frac{1}{2} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)} f^{2} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f^{2} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)} x - 2 \, d\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f^{2} e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 \, e} + \frac{2 i \, f^{2} e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)} x - 2 \, d\right)}"," ",0,"3*(2*b*c*f^2*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2) - (pi*b*c*sgn(F) - pi*b*c)*f^2*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-6*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F))) + 6*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F))))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(2*(b*c*log(abs(F)) + 2*e)*f^2*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c)*f^2*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + 2*e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + 2*e)*x + 2*d) - 1/2*I*(-2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*e) + 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + 2*e)*x + 2*d) + 2*(2*(b*c*log(abs(F)) + e)*f^2*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2) - (pi*b*c*sgn(F) - pi*b*c)*f^2*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) - 1/2*I*(-2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F)) + 2*e) + 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F)) + 2*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) + 2*(2*(b*c*log(abs(F)) - e)*f^2*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2) - (pi*b*c*sgn(F) - pi*b*c)*f^2*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d) - 1/2*I*(-2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F)) - 2*e) + 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F)) - 2*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d) + 1/2*(2*(b*c*log(abs(F)) - 2*e)*f^2*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c)*f^2*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - 2*e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - 2*e)*x - 2*d) - 1/2*I*(-2*I*f^2*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*e) + 2*I*f^2*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - 2*e)*x - 2*d)","C",0
898,1,900,0,0.232129," ","integrate(F^(c*(b*x+a))*(f+f*cosh(e*x+d)),x, algorithm=""giac"")","2 \, {\left(\frac{2 \, b c f \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right)} + \frac{2 i \, f e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right)}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)} f \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 \, e} + \frac{2 i \, f e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) + 4 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} + {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)} f \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} f \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, f e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 \, e} + \frac{2 i \, f e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right) - 4 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)}"," ",0,"2*(2*b*c*f*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2) - (pi*b*c*sgn(F) - pi*b*c)*f*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*f*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F))) + 2*I*f*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F))))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + (2*(b*c*log(abs(F)) + e)*f*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2) - (pi*b*c*sgn(F) - pi*b*c)*f*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) - 1/2*I*(-2*I*f*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*e) + 2*I*f*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) + 4*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) + (2*(b*c*log(abs(F)) - e)*f*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2) - (pi*b*c*sgn(F) - pi*b*c)*f*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d) - 1/2*I*(-2*I*f*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*e) + 2*I*f*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F)) - 4*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d)","C",0
899,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(f+f*cosh(e*x+d)),x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{f \cosh\left(e x + d\right) + f}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(f*cosh(e*x + d) + f), x)","F",0
900,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))/(f+f*cosh(e*x+d))^2,x, algorithm=""giac"")","\int \frac{F^{{\left(b x + a\right)} c}}{{\left(f \cosh\left(e x + d\right) + f\right)}^{2}}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)/(f*cosh(e*x + d) + f)^2, x)","F",0
901,1,52,0,0.118426," ","integrate(exp(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""giac"")","-\frac{5 \, {\left(6 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-3 \, b x - 3 \, a\right)} - 3 \, e^{\left(5 \, b x + 5 \, a\right)} + 10 \, e^{\left(3 \, b x + 3 \, a\right)}}{240 \, b}"," ",0,"-1/240*(5*(6*e^(2*b*x + 2*a) - 1)*e^(-3*b*x - 3*a) - 3*e^(5*b*x + 5*a) + 10*e^(3*b*x + 3*a))/b","A",0
902,1,57,0,0.119231," ","integrate(exp(b*x+a)*cosh(b*x+a)*sinh(b*x+a)^2,x, algorithm=""giac"")","-\frac{4 \, b x - 2 \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-2 \, b x - 2 \, a\right)} + 4 \, a - e^{\left(4 \, b x + 4 \, a\right)} + 2 \, e^{\left(2 \, b x + 2 \, a\right)}}{32 \, b}"," ",0,"-1/32*(4*b*x - 2*(e^(2*b*x + 2*a) - 1)*e^(-2*b*x - 2*a) + 4*a - e^(4*b*x + 4*a) + 2*e^(2*b*x + 2*a))/b","A",0
903,1,26,0,0.112672," ","integrate(exp(b*x+a)*cosh(b*x+a)*sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + 3 \, a\right)} + 3 \, e^{\left(-b x - a\right)}}{12 \, b}"," ",0,"1/12*(e^(3*b*x + 3*a) + 3*e^(-b*x - a))/b","A",0
904,1,32,0,0.132392," ","integrate(exp(b*x+a)*cosh(b*x+a)*csch(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(b x + a\right)} - \log\left(e^{\left(b x + a\right)} + 1\right) + \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{b}"," ",0,"(e^(b*x + a) - log(e^(b*x + a) + 1) + log(abs(e^(b*x + a) - 1)))/b","A",0
905,1,46,0,0.138310," ","integrate(exp(b*x+a)*cosh(b*x+a)*csch(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{e^{\left(2 \, b x + 2 \, a\right)} + 1}{e^{\left(2 \, b x + 2 \, a\right)} - 1} - \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{b}"," ",0,"-((e^(2*b*x + 2*a) + 1)/(e^(2*b*x + 2*a) - 1) - log(abs(e^(2*b*x + 2*a) - 1)))/b","A",0
906,1,62,0,0.121548," ","integrate(exp(b*x+a)*cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(3 \, e^{\left(3 \, b x + 3 \, a\right)} - e^{\left(b x + a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}} + \log\left(e^{\left(b x + a\right)} + 1\right) - \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{2 \, b}"," ",0,"-1/2*(2*(3*e^(3*b*x + 3*a) - e^(b*x + a))/(e^(2*b*x + 2*a) - 1)^2 + log(e^(b*x + a) + 1) - log(abs(e^(b*x + a) - 1)))/b","A",0
907,1,81,0,0.120749," ","integrate(exp(b*x+a)*cosh(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{24 \, b x - 3 \, {\left(6 \, e^{\left(4 \, b x + 4 \, a\right)} + 2 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-4 \, b x - 4 \, a\right)} + 24 \, a + 2 \, e^{\left(6 \, b x + 6 \, a\right)} - 3 \, e^{\left(4 \, b x + 4 \, a\right)} - 12 \, e^{\left(2 \, b x + 2 \, a\right)}}{384 \, b}"," ",0,"1/384*(24*b*x - 3*(6*e^(4*b*x + 4*a) + 2*e^(2*b*x + 2*a) - 1)*e^(-4*b*x - 4*a) + 24*a + 2*e^(6*b*x + 6*a) - 3*e^(4*b*x + 4*a) - 12*e^(2*b*x + 2*a))/b","A",0
908,1,36,0,0.132472," ","integrate(exp(b*x+a)*cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{3 \, e^{\left(5 \, b x + 5 \, a\right)} - 30 \, e^{\left(b x + a\right)} - 5 \, e^{\left(-3 \, b x - 3 \, a\right)}}{240 \, b}"," ",0,"1/240*(3*e^(5*b*x + 5*a) - 30*e^(b*x + a) - 5*e^(-3*b*x - 3*a))/b","A",0
909,1,57,0,0.118255," ","integrate(exp(b*x+a)*cosh(b*x+a)^2*sinh(b*x+a),x, algorithm=""giac"")","-\frac{4 \, b x - 2 \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)} + 4 \, a - e^{\left(4 \, b x + 4 \, a\right)} - 2 \, e^{\left(2 \, b x + 2 \, a\right)}}{32 \, b}"," ",0,"-1/32*(4*b*x - 2*(e^(2*b*x + 2*a) + 1)*e^(-2*b*x - 2*a) + 4*a - e^(4*b*x + 4*a) - 2*e^(2*b*x + 2*a))/b","A",0
910,1,39,0,0.141285," ","integrate(exp(b*x+a)*cosh(b*x+a)^2*csch(b*x+a),x, algorithm=""giac"")","-\frac{2 \, b x + 2 \, a - e^{\left(2 \, b x + 2 \, a\right)} - 4 \, \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{4 \, b}"," ",0,"-1/4*(2*b*x + 2*a - e^(2*b*x + 2*a) - 4*log(abs(e^(2*b*x + 2*a) - 1)))/b","A",0
911,1,56,0,0.123932," ","integrate(exp(b*x+a)*cosh(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{2 \, e^{\left(b x + a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} - 1} - e^{\left(b x + a\right)} + \log\left(e^{\left(b x + a\right)} + 1\right) - \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{b}"," ",0,"-(2*e^(b*x + a)/(e^(2*b*x + 2*a) - 1) - e^(b*x + a) + log(e^(b*x + a) + 1) - log(abs(e^(b*x + a) - 1)))/b","A",0
912,1,59,0,0.129511," ","integrate(exp(b*x+a)*cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{3 \, e^{\left(4 \, b x + 4 \, a\right)} + 2 \, e^{\left(2 \, b x + 2 \, a\right)} - 1}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}} - 2 \, \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{2 \, b}"," ",0,"-1/2*((3*e^(4*b*x + 4*a) + 2*e^(2*b*x + 2*a) - 1)/(e^(2*b*x + 2*a) - 1)^2 - 2*log(abs(e^(2*b*x + 2*a) - 1)))/b","A",0
913,1,52,0,0.126040," ","integrate(exp(b*x+a)*cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""giac"")","-\frac{7 \, {\left(15 \, e^{\left(4 \, b x + 4 \, a\right)} - 1\right)} e^{\left(-5 \, b x - 5 \, a\right)} - 5 \, e^{\left(7 \, b x + 7 \, a\right)} + 35 \, e^{\left(3 \, b x + 3 \, a\right)}}{2240 \, b}"," ",0,"-1/2240*(7*(15*e^(4*b*x + 4*a) - 1)*e^(-5*b*x - 5*a) - 5*e^(7*b*x + 7*a) + 35*e^(3*b*x + 3*a))/b","A",0
914,1,81,0,0.140238," ","integrate(exp(b*x+a)*cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""giac"")","-\frac{24 \, b x - 3 \, {\left(6 \, e^{\left(4 \, b x + 4 \, a\right)} - 2 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-4 \, b x - 4 \, a\right)} + 24 \, a - 2 \, e^{\left(6 \, b x + 6 \, a\right)} - 3 \, e^{\left(4 \, b x + 4 \, a\right)} + 12 \, e^{\left(2 \, b x + 2 \, a\right)}}{384 \, b}"," ",0,"-1/384*(24*b*x - 3*(6*e^(4*b*x + 4*a) - 2*e^(2*b*x + 2*a) - 1)*e^(-4*b*x - 4*a) + 24*a - 2*e^(6*b*x + 6*a) - 3*e^(4*b*x + 4*a) + 12*e^(2*b*x + 2*a))/b","A",0
915,1,52,0,0.139196," ","integrate(exp(b*x+a)*cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""giac"")","\frac{5 \, {\left(6 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-3 \, b x - 3 \, a\right)} + 3 \, e^{\left(5 \, b x + 5 \, a\right)} + 10 \, e^{\left(3 \, b x + 3 \, a\right)}}{240 \, b}"," ",0,"1/240*(5*(6*e^(2*b*x + 2*a) + 1)*e^(-3*b*x - 3*a) + 3*e^(5*b*x + 5*a) + 10*e^(3*b*x + 3*a))/b","A",0
916,1,57,0,0.120774," ","integrate(exp(b*x+a)*cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + 3 \, a\right)} + 12 \, e^{\left(b x + a\right)} + 3 \, e^{\left(-b x - a\right)} - 12 \, \log\left(e^{\left(b x + a\right)} + 1\right) + 12 \, \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{12 \, b}"," ",0,"1/12*(e^(3*b*x + 3*a) + 12*e^(b*x + a) + 3*e^(-b*x - a) - 12*log(e^(b*x + a) + 1) + 12*log(abs(e^(b*x + a) - 1)))/b","A",0
917,1,63,0,0.146955," ","integrate(exp(b*x+a)*cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""giac"")","\frac{2 \, b x + 2 \, a - \frac{4 \, {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}}{e^{\left(2 \, b x + 2 \, a\right)} - 1} + e^{\left(2 \, b x + 2 \, a\right)} + 4 \, \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{4 \, b}"," ",0,"1/4*(2*b*x + 2*a - 4*(e^(2*b*x + 2*a) + 1)/(e^(2*b*x + 2*a) - 1) + e^(2*b*x + 2*a) + 4*log(abs(e^(2*b*x + 2*a) - 1)))/b","A",0
918,1,72,0,0.147382," ","integrate(exp(b*x+a)*cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(3 \, e^{\left(3 \, b x + 3 \, a\right)} - e^{\left(b x + a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}} - 2 \, e^{\left(b x + a\right)} + 3 \, \log\left(e^{\left(b x + a\right)} + 1\right) - 3 \, \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{2 \, b}"," ",0,"-1/2*(2*(3*e^(3*b*x + 3*a) - e^(b*x + a))/(e^(2*b*x + 2*a) - 1)^2 - 2*e^(b*x + a) + 3*log(e^(b*x + a) + 1) - 3*log(abs(e^(b*x + a) - 1)))/b","A",0
919,1,60,0,0.121896," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{12 \, b x - 3 \, {\left(2 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-2 \, b x - 2 \, a\right)} + {\left(e^{\left(6 \, b x + 12 \, a\right)} - 3 \, e^{\left(4 \, b x + 10 \, a\right)}\right)} e^{\left(-6 \, a\right)}}{96 \, b}"," ",0,"1/96*(12*b*x - 3*(2*e^(2*b*x + 2*a) - 1)*e^(-2*b*x - 2*a) + (e^(6*b*x + 12*a) - 3*e^(4*b*x + 10*a))*e^(-6*a))/b","A",0
920,1,55,0,0.121063," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(3 \, e^{\left(5 \, b x + 10 \, a\right)} - 5 \, e^{\left(3 \, b x + 8 \, a\right)} - 15 \, e^{\left(b x + 6 \, a\right)}\right)} e^{\left(-5 \, a\right)} - 15 \, e^{\left(-b x - a\right)}}{120 \, b}"," ",0,"1/120*((3*e^(5*b*x + 10*a) - 5*e^(3*b*x + 8*a) - 15*e^(b*x + 6*a))*e^(-5*a) - 15*e^(-b*x - a))/b","A",0
921,1,18,0,0.124098," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*sinh(b*x+a),x, algorithm=""giac"")","-\frac{1}{4} \, x + \frac{e^{\left(4 \, b x + 4 \, a\right)}}{16 \, b}"," ",0,"-1/4*x + 1/16*e^(4*b*x + 4*a)/b","A",0
922,1,30,0,0.112501," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*csch(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(2 \, b x + 2 \, a\right)} + 2 \, \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{2 \, b}"," ",0,"1/2*(e^(2*b*x + 2*a) + 2*log(abs(e^(2*b*x + 2*a) - 1)))/b","A",0
923,1,55,0,0.150189," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*csch(b*x+a)^2,x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{e^{\left(b x + a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} - 1} - e^{\left(b x + a\right)} + \log\left(e^{\left(b x + a\right)} + 1\right) - \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)\right)}}{b}"," ",0,"-2*(e^(b*x + a)/(e^(2*b*x + 2*a) - 1) - e^(b*x + a) + log(e^(b*x + a) + 1) - log(abs(e^(b*x + a) - 1)))/b","A",0
924,1,48,0,0.146907," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{3 \, e^{\left(4 \, b x + 4 \, a\right)} - 1}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}} - 2 \, \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{b}"," ",0,"-((3*e^(4*b*x + 4*a) - 1)/(e^(2*b*x + 2*a) - 1)^2 - 2*log(abs(e^(2*b*x + 2*a) - 1)))/b","A",0
925,1,80,0,0.150191," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""giac"")","-\frac{35 \, {\left(3 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-3 \, b x - 3 \, a\right)} - {\left(15 \, e^{\left(7 \, b x + 28 \, a\right)} - 21 \, e^{\left(5 \, b x + 26 \, a\right)} - 70 \, e^{\left(3 \, b x + 24 \, a\right)} + 210 \, e^{\left(b x + 22 \, a\right)}\right)} e^{\left(-21 \, a\right)}}{3360 \, b}"," ",0,"-1/3360*(35*(3*e^(2*b*x + 2*a) - 1)*e^(-3*b*x - 3*a) - (15*e^(7*b*x + 28*a) - 21*e^(5*b*x + 26*a) - 70*e^(3*b*x + 24*a) + 210*e^(b*x + 22*a))*e^(-21*a))/b","A",0
926,1,43,0,0.137780," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(e^{\left(6 \, b x + 12 \, a\right)} - 6 \, e^{\left(2 \, b x + 8 \, a\right)}\right)} e^{\left(-6 \, a\right)} - 3 \, e^{\left(-2 \, b x - 2 \, a\right)}}{96 \, b}"," ",0,"1/96*((e^(6*b*x + 12*a) - 6*e^(2*b*x + 8*a))*e^(-6*a) - 3*e^(-2*b*x - 2*a))/b","A",0
927,1,55,0,0.118057," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^2*sinh(b*x+a),x, algorithm=""giac"")","\frac{{\left(3 \, e^{\left(5 \, b x + 10 \, a\right)} + 5 \, e^{\left(3 \, b x + 8 \, a\right)} - 15 \, e^{\left(b x + 6 \, a\right)}\right)} e^{\left(-5 \, a\right)} + 15 \, e^{\left(-b x - a\right)}}{120 \, b}"," ",0,"1/120*((3*e^(5*b*x + 10*a) + 5*e^(3*b*x + 8*a) - 15*e^(b*x + 6*a))*e^(-5*a) + 15*e^(-b*x - a))/b","A",0
928,1,54,0,0.117347," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^2*csch(b*x+a),x, algorithm=""giac"")","\frac{{\left(e^{\left(3 \, b x + 9 \, a\right)} + 9 \, e^{\left(b x + 7 \, a\right)}\right)} e^{\left(-6 \, a\right)} - 6 \, \log\left(e^{\left(b x + a\right)} + 1\right) + 6 \, \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{6 \, b}"," ",0,"1/6*((e^(3*b*x + 9*a) + 9*e^(b*x + 7*a))*e^(-6*a) - 6*log(e^(b*x + a) + 1) + 6*log(abs(e^(b*x + a) - 1)))/b","A",0
929,1,56,0,0.127056," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{4 \, e^{\left(2 \, b x + 2 \, a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} - 1} - e^{\left(2 \, b x + 2 \, a\right)} - 4 \, \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{2 \, b}"," ",0,"-1/2*(4*e^(2*b*x + 2*a)/(e^(2*b*x + 2*a) - 1) - e^(2*b*x + 2*a) - 4*log(abs(e^(2*b*x + 2*a) - 1)))/b","A",0
930,1,72,0,0.126759," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(5 \, e^{\left(3 \, b x + 3 \, a\right)} - 3 \, e^{\left(b x + a\right)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}} - 4 \, e^{\left(b x + a\right)} + 5 \, \log\left(e^{\left(b x + a\right)} + 1\right) - 5 \, \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{2 \, b}"," ",0,"-1/2*(2*(5*e^(3*b*x + 3*a) - 3*e^(b*x + a))/(e^(2*b*x + 2*a) - 1)^2 - 4*e^(b*x + a) + 5*log(e^(b*x + a) + 1) - 5*log(abs(e^(b*x + a) - 1)))/b","A",0
931,1,60,0,0.153338," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{24 \, b x - 2 \, {\left(3 \, e^{\left(4 \, b x + 4 \, a\right)} - 1\right)} e^{\left(-4 \, b x - 4 \, a\right)} + {\left(e^{\left(8 \, b x + 16 \, a\right)} - 6 \, e^{\left(4 \, b x + 12 \, a\right)}\right)} e^{\left(-8 \, a\right)}}{512 \, b}"," ",0,"1/512*(24*b*x - 2*(3*e^(4*b*x + 4*a) - 1)*e^(-4*b*x - 4*a) + (e^(8*b*x + 16*a) - 6*e^(4*b*x + 12*a))*e^(-8*a))/b","A",0
932,1,80,0,0.144833," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""giac"")","-\frac{35 \, {\left(3 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-3 \, b x - 3 \, a\right)} - {\left(15 \, e^{\left(7 \, b x + 28 \, a\right)} + 21 \, e^{\left(5 \, b x + 26 \, a\right)} - 70 \, e^{\left(3 \, b x + 24 \, a\right)} - 210 \, e^{\left(b x + 22 \, a\right)}\right)} e^{\left(-21 \, a\right)}}{3360 \, b}"," ",0,"-1/3360*(35*(3*e^(2*b*x + 2*a) + 1)*e^(-3*b*x - 3*a) - (15*e^(7*b*x + 28*a) + 21*e^(5*b*x + 26*a) - 70*e^(3*b*x + 24*a) - 210*e^(b*x + 22*a))*e^(-21*a))/b","A",0
933,1,61,0,0.124448," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""giac"")","-\frac{12 \, b x - 3 \, {\left(2 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)} - {\left(e^{\left(6 \, b x + 12 \, a\right)} + 3 \, e^{\left(4 \, b x + 10 \, a\right)}\right)} e^{\left(-6 \, a\right)}}{96 \, b}"," ",0,"-1/96*(12*b*x - 3*(2*e^(2*b*x + 2*a) + 1)*e^(-2*b*x - 2*a) - (e^(6*b*x + 12*a) + 3*e^(4*b*x + 10*a))*e^(-6*a))/b","A",0
934,1,52,0,0.139914," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""giac"")","-\frac{4 \, b x - {\left(e^{\left(4 \, b x + 8 \, a\right)} + 8 \, e^{\left(2 \, b x + 6 \, a\right)}\right)} e^{\left(-4 \, a\right)} - 16 \, \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{16 \, b}"," ",0,"-1/16*(4*b*x - (e^(4*b*x + 8*a) + 8*e^(2*b*x + 6*a))*e^(-4*a) - 16*log(abs(e^(2*b*x + 2*a) - 1)))/b","A",0
935,1,75,0,0.145427," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(e^{\left(3 \, b x + 15 \, a\right)} + 15 \, e^{\left(b x + 13 \, a\right)}\right)} e^{\left(-12 \, a\right)} - \frac{12 \, e^{\left(b x + a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} - 1} - 12 \, \log\left(e^{\left(b x + a\right)} + 1\right) + 12 \, \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{6 \, b}"," ",0,"1/6*((e^(3*b*x + 15*a) + 15*e^(b*x + 13*a))*e^(-12*a) - 12*e^(b*x + a)/(e^(2*b*x + 2*a) - 1) - 12*log(e^(b*x + a) + 1) + 12*log(abs(e^(b*x + a) - 1)))/b","A",0
936,1,70,0,0.135643," ","integrate(exp(2*b*x+2*a)*cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{9 \, e^{\left(4 \, b x + 4 \, a\right)} - 6 \, e^{\left(2 \, b x + 2 \, a\right)} + 1}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}} - e^{\left(2 \, b x + 2 \, a\right)} - 6 \, \log\left({\left| e^{\left(2 \, b x + 2 \, a\right)} - 1 \right|}\right)}{2 \, b}"," ",0,"-1/2*((9*e^(4*b*x + 4*a) - 6*e^(2*b*x + 2*a) + 1)/(e^(2*b*x + 2*a) - 1)^2 - e^(2*b*x + 2*a) - 6*log(abs(e^(2*b*x + 2*a) - 1)))/b","A",0
937,1,90,0,0.133458," ","integrate(exp(x)*sech(2*x)*tanh(2*x),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) + \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right) - \frac{1}{8} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{8} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{e^{\left(3 \, x\right)}}{e^{\left(4 \, x\right)} + 1}"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) + 1/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x)) - 1/8*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) + 1/8*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1) - e^(3*x)/(e^(4*x) + 1)","A",0
938,1,95,0,0.135353," ","integrate(exp(x)*sech(2*x)^2*tanh(2*x),x, algorithm=""giac"")","\frac{1}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) + \frac{1}{16} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right) + \frac{1}{32} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{32} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{5 \, e^{\left(5 \, x\right)} + e^{x}}{4 \, {\left(e^{\left(4 \, x\right)} + 1\right)}^{2}}"," ",0,"1/16*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) + 1/16*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x)) + 1/32*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) - 1/32*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1) - 1/4*(5*e^(5*x) + e^x)/(e^(4*x) + 1)^2","A",0
939,1,99,0,0.118442," ","integrate(exp(x)*sech(2*x)*tanh(2*x)^2,x, algorithm=""giac"")","\frac{5}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) + \frac{5}{16} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right) - \frac{5}{32} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{5}{32} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{3 \, e^{\left(7 \, x\right)} - e^{\left(3 \, x\right)}}{4 \, {\left(e^{\left(4 \, x\right)} + 1\right)}^{2}}"," ",0,"5/16*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) + 5/16*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x)) - 5/32*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) + 5/32*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1) - 1/4*(3*e^(7*x) - e^(3*x))/(e^(4*x) + 1)^2","A",0
940,1,103,0,0.115870," ","integrate(exp(x)*sech(2*x)^2*tanh(2*x)^2,x, algorithm=""giac"")","\frac{3}{32} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) + \frac{3}{32} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right) + \frac{3}{64} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{3}{64} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{29 \, e^{\left(9 \, x\right)} + 6 \, e^{\left(5 \, x\right)} + 9 \, e^{x}}{24 \, {\left(e^{\left(4 \, x\right)} + 1\right)}^{3}}"," ",0,"3/32*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) + 3/32*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x)) + 3/64*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) - 3/64*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1) - 1/24*(29*e^(9*x) + 6*e^(5*x) + 9*e^x)/(e^(4*x) + 1)^3","A",0
941,1,35,0,0.128667," ","integrate(exp(x)*coth(2*x)*csch(2*x),x, algorithm=""giac"")","-\frac{e^{\left(3 \, x\right)}}{e^{\left(4 \, x\right)} - 1} + \frac{1}{2} \, \arctan\left(e^{x}\right) - \frac{1}{4} \, \log\left(e^{x} + 1\right) + \frac{1}{4} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-e^(3*x)/(e^(4*x) - 1) + 1/2*arctan(e^x) - 1/4*log(e^x + 1) + 1/4*log(abs(e^x - 1))","A",0
942,1,42,0,0.116935," ","integrate(exp(x)*coth(2*x)*csch(2*x)^2,x, algorithm=""giac"")","-\frac{5 \, e^{\left(5 \, x\right)} - e^{x}}{4 \, {\left(e^{\left(4 \, x\right)} - 1\right)}^{2}} - \frac{1}{8} \, \arctan\left(e^{x}\right) - \frac{1}{16} \, \log\left(e^{x} + 1\right) + \frac{1}{16} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/4*(5*e^(5*x) - e^x)/(e^(4*x) - 1)^2 - 1/8*arctan(e^x) - 1/16*log(e^x + 1) + 1/16*log(abs(e^x - 1))","A",0
943,1,42,0,0.120558," ","integrate(exp(x)*coth(2*x)^2*csch(2*x),x, algorithm=""giac"")","-\frac{3 \, e^{\left(7 \, x\right)} + e^{\left(3 \, x\right)}}{4 \, {\left(e^{\left(4 \, x\right)} - 1\right)}^{2}} + \frac{5}{8} \, \arctan\left(e^{x}\right) - \frac{5}{16} \, \log\left(e^{x} + 1\right) + \frac{5}{16} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/4*(3*e^(7*x) + e^(3*x))/(e^(4*x) - 1)^2 + 5/8*arctan(e^x) - 5/16*log(e^x + 1) + 5/16*log(abs(e^x - 1))","A",0
944,1,48,0,0.117131," ","integrate(exp(x)*coth(2*x)^2*csch(2*x)^2,x, algorithm=""giac"")","-\frac{29 \, e^{\left(9 \, x\right)} - 6 \, e^{\left(5 \, x\right)} + 9 \, e^{x}}{24 \, {\left(e^{\left(4 \, x\right)} - 1\right)}^{3}} - \frac{3}{16} \, \arctan\left(e^{x}\right) - \frac{3}{32} \, \log\left(e^{x} + 1\right) + \frac{3}{32} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/24*(29*e^(9*x) - 6*e^(5*x) + 9*e^x)/(e^(4*x) - 1)^3 - 3/16*arctan(e^x) - 3/32*log(e^x + 1) + 3/32*log(abs(e^x - 1))","A",0
945,1,93,0,0.139404," ","integrate(exp(d*x+c)*cosh(b*x+a)*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{e^{\left(4 \, b x + d x + 4 \, a + c\right)}}{16 \, {\left(4 \, b + d\right)}} - \frac{e^{\left(2 \, b x + d x + 2 \, a + c\right)}}{8 \, {\left(2 \, b + d\right)}} - \frac{e^{\left(-2 \, b x + d x - 2 \, a + c\right)}}{8 \, {\left(2 \, b - d\right)}} + \frac{e^{\left(-4 \, b x + d x - 4 \, a + c\right)}}{16 \, {\left(4 \, b - d\right)}}"," ",0,"1/16*e^(4*b*x + d*x + 4*a + c)/(4*b + d) - 1/8*e^(2*b*x + d*x + 2*a + c)/(2*b + d) - 1/8*e^(-2*b*x + d*x - 2*a + c)/(2*b - d) + 1/16*e^(-4*b*x + d*x - 4*a + c)/(4*b - d)","A",0
946,1,86,0,0.138229," ","integrate(exp(d*x+c)*cosh(b*x+a)*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + d x + 3 \, a + c\right)}}{8 \, {\left(3 \, b + d\right)}} - \frac{e^{\left(b x + d x + a + c\right)}}{8 \, {\left(b + d\right)}} + \frac{e^{\left(-b x + d x - a + c\right)}}{8 \, {\left(b - d\right)}} - \frac{e^{\left(-3 \, b x + d x - 3 \, a + c\right)}}{8 \, {\left(3 \, b - d\right)}}"," ",0,"1/8*e^(3*b*x + d*x + 3*a + c)/(3*b + d) - 1/8*e^(b*x + d*x + a + c)/(b + d) + 1/8*e^(-b*x + d*x - a + c)/(b - d) - 1/8*e^(-3*b*x + d*x - 3*a + c)/(3*b - d)","A",0
947,1,47,0,0.130644," ","integrate(exp(d*x+c)*cosh(b*x+a)*sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(2 \, b x + d x + 2 \, a + c\right)}}{4 \, {\left(2 \, b + d\right)}} + \frac{e^{\left(-2 \, b x + d x - 2 \, a + c\right)}}{4 \, {\left(2 \, b - d\right)}}"," ",0,"1/4*e^(2*b*x + d*x + 2*a + c)/(2*b + d) + 1/4*e^(-2*b*x + d*x - 2*a + c)/(2*b - d)","A",0
948,1,40,0,0.129483," ","integrate(exp(d*x+c)*cosh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(b x + d x + a + c\right)}}{2 \, {\left(b + d\right)}} - \frac{e^{\left(-b x + d x - a + c\right)}}{2 \, {\left(b - d\right)}}"," ",0,"1/2*e^(b*x + d*x + a + c)/(b + d) - 1/2*e^(-b*x + d*x - a + c)/(b - d)","A",0
949,0,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)*csch(b*x+a),x, algorithm=""giac"")","\int \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right) e^{\left(d x + c\right)}\,{d x}"," ",0,"integrate(cosh(b*x + a)*csch(b*x + a)*e^(d*x + c), x)","F",0
950,0,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)*csch(b*x+a)^2,x, algorithm=""giac"")","\int \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{2} e^{\left(d x + c\right)}\,{d x}"," ",0,"integrate(cosh(b*x + a)*csch(b*x + a)^2*e^(d*x + c), x)","F",0
951,0,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)*csch(b*x+a)^3,x, algorithm=""giac"")","\int \cosh\left(b x + a\right) \operatorname{csch}\left(b x + a\right)^{3} e^{\left(d x + c\right)}\,{d x}"," ",0,"integrate(cosh(b*x + a)*csch(b*x + a)^3*e^(d*x + c), x)","F",0
952,1,132,0,0.149723," ","integrate(exp(d*x+c)*cosh(b*x+a)^2*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{e^{\left(5 \, b x + d x + 5 \, a + c\right)}}{32 \, {\left(5 \, b + d\right)}} - \frac{e^{\left(3 \, b x + d x + 3 \, a + c\right)}}{32 \, {\left(3 \, b + d\right)}} - \frac{e^{\left(b x + d x + a + c\right)}}{16 \, {\left(b + d\right)}} - \frac{e^{\left(-b x + d x - a + c\right)}}{16 \, {\left(b - d\right)}} - \frac{e^{\left(-3 \, b x + d x - 3 \, a + c\right)}}{32 \, {\left(3 \, b - d\right)}} + \frac{e^{\left(-5 \, b x + d x - 5 \, a + c\right)}}{32 \, {\left(5 \, b - d\right)}}"," ",0,"1/32*e^(5*b*x + d*x + 5*a + c)/(5*b + d) - 1/32*e^(3*b*x + d*x + 3*a + c)/(3*b + d) - 1/16*e^(b*x + d*x + a + c)/(b + d) - 1/16*e^(-b*x + d*x - a + c)/(b - d) - 1/32*e^(-3*b*x + d*x - 3*a + c)/(3*b - d) + 1/32*e^(-5*b*x + d*x - 5*a + c)/(5*b - d)","A",0
953,1,58,0,0.125656," ","integrate(exp(d*x+c)*cosh(b*x+a)^2*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{e^{\left(4 \, b x + d x + 4 \, a + c\right)}}{16 \, {\left(4 \, b + d\right)}} - \frac{e^{\left(-4 \, b x + d x - 4 \, a + c\right)}}{16 \, {\left(4 \, b - d\right)}} - \frac{e^{\left(d x + c\right)}}{8 \, d}"," ",0,"1/16*e^(4*b*x + d*x + 4*a + c)/(4*b + d) - 1/16*e^(-4*b*x + d*x - 4*a + c)/(4*b - d) - 1/8*e^(d*x + c)/d","A",0
954,1,86,0,0.119687," ","integrate(exp(d*x+c)*cosh(b*x+a)^2*sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + d x + 3 \, a + c\right)}}{8 \, {\left(3 \, b + d\right)}} + \frac{e^{\left(b x + d x + a + c\right)}}{8 \, {\left(b + d\right)}} + \frac{e^{\left(-b x + d x - a + c\right)}}{8 \, {\left(b - d\right)}} + \frac{e^{\left(-3 \, b x + d x - 3 \, a + c\right)}}{8 \, {\left(3 \, b - d\right)}}"," ",0,"1/8*e^(3*b*x + d*x + 3*a + c)/(3*b + d) + 1/8*e^(b*x + d*x + a + c)/(b + d) + 1/8*e^(-b*x + d*x - a + c)/(b - d) + 1/8*e^(-3*b*x + d*x - 3*a + c)/(3*b - d)","A",0
955,1,58,0,0.116519," ","integrate(exp(d*x+c)*cosh(b*x+a)^2,x, algorithm=""giac"")","\frac{e^{\left(2 \, b x + d x + 2 \, a + c\right)}}{4 \, {\left(2 \, b + d\right)}} - \frac{e^{\left(-2 \, b x + d x - 2 \, a + c\right)}}{4 \, {\left(2 \, b - d\right)}} + \frac{e^{\left(d x + c\right)}}{2 \, d}"," ",0,"1/4*e^(2*b*x + d*x + 2*a + c)/(2*b + d) - 1/4*e^(-2*b*x + d*x - 2*a + c)/(2*b - d) + 1/2*e^(d*x + c)/d","A",0
956,0,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)^2*csch(b*x+a),x, algorithm=""giac"")","\int \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right) e^{\left(d x + c\right)}\,{d x}"," ",0,"integrate(cosh(b*x + a)^2*csch(b*x + a)*e^(d*x + c), x)","F",0
957,0,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)^2*csch(b*x+a)^2,x, algorithm=""giac"")","\int \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{2} e^{\left(d x + c\right)}\,{d x}"," ",0,"integrate(cosh(b*x + a)^2*csch(b*x + a)^2*e^(d*x + c), x)","F",0
958,0,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)^2*csch(b*x+a)^3,x, algorithm=""giac"")","\int \cosh\left(b x + a\right)^{2} \operatorname{csch}\left(b x + a\right)^{3} e^{\left(d x + c\right)}\,{d x}"," ",0,"integrate(cosh(b*x + a)^2*csch(b*x + a)^3*e^(d*x + c), x)","F",0
959,1,93,0,0.129983," ","integrate(exp(d*x+c)*cosh(b*x+a)^3*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{e^{\left(6 \, b x + d x + 6 \, a + c\right)}}{64 \, {\left(6 \, b + d\right)}} - \frac{3 \, e^{\left(2 \, b x + d x + 2 \, a + c\right)}}{64 \, {\left(2 \, b + d\right)}} - \frac{3 \, e^{\left(-2 \, b x + d x - 2 \, a + c\right)}}{64 \, {\left(2 \, b - d\right)}} + \frac{e^{\left(-6 \, b x + d x - 6 \, a + c\right)}}{64 \, {\left(6 \, b - d\right)}}"," ",0,"1/64*e^(6*b*x + d*x + 6*a + c)/(6*b + d) - 3/64*e^(2*b*x + d*x + 2*a + c)/(2*b + d) - 3/64*e^(-2*b*x + d*x - 2*a + c)/(2*b - d) + 1/64*e^(-6*b*x + d*x - 6*a + c)/(6*b - d)","A",0
960,1,132,0,0.150327," ","integrate(exp(d*x+c)*cosh(b*x+a)^3*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{e^{\left(5 \, b x + d x + 5 \, a + c\right)}}{32 \, {\left(5 \, b + d\right)}} + \frac{e^{\left(3 \, b x + d x + 3 \, a + c\right)}}{32 \, {\left(3 \, b + d\right)}} - \frac{e^{\left(b x + d x + a + c\right)}}{16 \, {\left(b + d\right)}} + \frac{e^{\left(-b x + d x - a + c\right)}}{16 \, {\left(b - d\right)}} - \frac{e^{\left(-3 \, b x + d x - 3 \, a + c\right)}}{32 \, {\left(3 \, b - d\right)}} - \frac{e^{\left(-5 \, b x + d x - 5 \, a + c\right)}}{32 \, {\left(5 \, b - d\right)}}"," ",0,"1/32*e^(5*b*x + d*x + 5*a + c)/(5*b + d) + 1/32*e^(3*b*x + d*x + 3*a + c)/(3*b + d) - 1/16*e^(b*x + d*x + a + c)/(b + d) + 1/16*e^(-b*x + d*x - a + c)/(b - d) - 1/32*e^(-3*b*x + d*x - 3*a + c)/(3*b - d) - 1/32*e^(-5*b*x + d*x - 5*a + c)/(5*b - d)","A",0
961,1,93,0,0.126120," ","integrate(exp(d*x+c)*cosh(b*x+a)^3*sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(4 \, b x + d x + 4 \, a + c\right)}}{16 \, {\left(4 \, b + d\right)}} + \frac{e^{\left(2 \, b x + d x + 2 \, a + c\right)}}{8 \, {\left(2 \, b + d\right)}} + \frac{e^{\left(-2 \, b x + d x - 2 \, a + c\right)}}{8 \, {\left(2 \, b - d\right)}} + \frac{e^{\left(-4 \, b x + d x - 4 \, a + c\right)}}{16 \, {\left(4 \, b - d\right)}}"," ",0,"1/16*e^(4*b*x + d*x + 4*a + c)/(4*b + d) + 1/8*e^(2*b*x + d*x + 2*a + c)/(2*b + d) + 1/8*e^(-2*b*x + d*x - 2*a + c)/(2*b - d) + 1/16*e^(-4*b*x + d*x - 4*a + c)/(4*b - d)","A",0
962,1,86,0,0.134322," ","integrate(exp(d*x+c)*cosh(b*x+a)^3,x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + d x + 3 \, a + c\right)}}{8 \, {\left(3 \, b + d\right)}} + \frac{3 \, e^{\left(b x + d x + a + c\right)}}{8 \, {\left(b + d\right)}} - \frac{3 \, e^{\left(-b x + d x - a + c\right)}}{8 \, {\left(b - d\right)}} - \frac{e^{\left(-3 \, b x + d x - 3 \, a + c\right)}}{8 \, {\left(3 \, b - d\right)}}"," ",0,"1/8*e^(3*b*x + d*x + 3*a + c)/(3*b + d) + 3/8*e^(b*x + d*x + a + c)/(b + d) - 3/8*e^(-b*x + d*x - a + c)/(b - d) - 1/8*e^(-3*b*x + d*x - 3*a + c)/(3*b - d)","A",0
963,0,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)^3*csch(b*x+a),x, algorithm=""giac"")","\int \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right) e^{\left(d x + c\right)}\,{d x}"," ",0,"integrate(cosh(b*x + a)^3*csch(b*x + a)*e^(d*x + c), x)","F",0
964,0,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)^3*csch(b*x+a)^2,x, algorithm=""giac"")","\int \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{2} e^{\left(d x + c\right)}\,{d x}"," ",0,"integrate(cosh(b*x + a)^3*csch(b*x + a)^2*e^(d*x + c), x)","F",0
965,0,0,0,0.000000," ","integrate(exp(d*x+c)*cosh(b*x+a)^3*csch(b*x+a)^3,x, algorithm=""giac"")","\int \cosh\left(b x + a\right)^{3} \operatorname{csch}\left(b x + a\right)^{3} e^{\left(d x + c\right)}\,{d x}"," ",0,"integrate(cosh(b*x + a)^3*csch(b*x + a)^3*e^(d*x + c), x)","F",0
966,0,0,0,0.000000," ","integrate(exp(b*x+a)*sinh(d*x+c)^(3/2)-3/4*d^2*exp(b*x+a)/(b^2-9/4*d^2)/sinh(d*x+c)^(1/2),x, algorithm=""giac"")","\int e^{\left(b x + a\right)} \sinh\left(d x + c\right)^{\frac{3}{2}} - \frac{3 \, d^{2} e^{\left(b x + a\right)}}{{\left(4 \, b^{2} - 9 \, d^{2}\right)} \sqrt{\sinh\left(d x + c\right)}}\,{d x}"," ",0,"integrate(e^(b*x + a)*sinh(d*x + c)^(3/2) - 3*d^2*e^(b*x + a)/((4*b^2 - 9*d^2)*sqrt(sinh(d*x + c))), x)","F",0
967,1,30,0,0.137763," ","integrate(exp(n*cosh(b*x+a))*sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(\frac{1}{2} \, n e^{\left(b x + a\right)} + \frac{1}{2} \, n e^{\left(-b x - a\right)}\right)}}{b n}"," ",0,"e^(1/2*n*e^(b*x + a) + 1/2*n*e^(-b*x - a))/(b*n)","A",0
968,1,38,0,0.128294," ","integrate(exp(n*cosh(b*c*x+a*c))*sinh(c*(b*x+a)),x, algorithm=""giac"")","\frac{e^{\left(\frac{1}{2} \, n e^{\left(b c x + a c\right)} + \frac{1}{2} \, n e^{\left(-b c x - a c\right)}\right)}}{b c n}"," ",0,"e^(1/2*n*e^(b*c*x + a*c) + 1/2*n*e^(-b*c*x - a*c))/(b*c*n)","A",0
969,1,38,0,0.130344," ","integrate(exp(n*cosh(c*(b*x+a)))*sinh(b*c*x+a*c),x, algorithm=""giac"")","\frac{e^{\left(\frac{1}{2} \, n e^{\left(b c x + a c\right)} + \frac{1}{2} \, n e^{\left(-b c x - a c\right)}\right)}}{b c n}"," ",0,"e^(1/2*n*e^(b*c*x + a*c) + 1/2*n*e^(-b*c*x - a*c))/(b*c*n)","A",0
970,0,0,0,0.000000," ","integrate(exp(n*cosh(b*x+a))*tanh(b*x+a),x, algorithm=""giac"")","\int e^{\left(n \cosh\left(b x + a\right)\right)} \tanh\left(b x + a\right)\,{d x}"," ",0,"integrate(e^(n*cosh(b*x + a))*tanh(b*x + a), x)","F",0
971,0,0,0,0.000000," ","integrate(exp(n*cosh(b*c*x+a*c))*tanh(c*(b*x+a)),x, algorithm=""giac"")","\int e^{\left(n \cosh\left(b c x + a c\right)\right)} \tanh\left({\left(b x + a\right)} c\right)\,{d x}"," ",0,"integrate(e^(n*cosh(b*c*x + a*c))*tanh((b*x + a)*c), x)","F",0
972,0,0,0,0.000000," ","integrate(exp(n*cosh(c*(b*x+a)))*tanh(b*c*x+a*c),x, algorithm=""giac"")","\int e^{\left(n \cosh\left({\left(b x + a\right)} c\right)\right)} \tanh\left(b c x + a c\right)\,{d x}"," ",0,"integrate(e^(n*cosh((b*x + a)*c))*tanh(b*c*x + a*c), x)","F",0
973,1,30,0,0.145972," ","integrate(exp(n*sinh(b*x+a))*cosh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(\frac{1}{2} \, n e^{\left(b x + a\right)} - \frac{1}{2} \, n e^{\left(-b x - a\right)}\right)}}{b n}"," ",0,"e^(1/2*n*e^(b*x + a) - 1/2*n*e^(-b*x - a))/(b*n)","A",0
974,1,38,0,0.157157," ","integrate(exp(n*sinh(b*c*x+a*c))*cosh(c*(b*x+a)),x, algorithm=""giac"")","\frac{e^{\left(\frac{1}{2} \, n e^{\left(b c x + a c\right)} - \frac{1}{2} \, n e^{\left(-b c x - a c\right)}\right)}}{b c n}"," ",0,"e^(1/2*n*e^(b*c*x + a*c) - 1/2*n*e^(-b*c*x - a*c))/(b*c*n)","A",0
975,1,38,0,0.138020," ","integrate(exp(n*sinh(c*(b*x+a)))*cosh(b*c*x+a*c),x, algorithm=""giac"")","\frac{e^{\left(\frac{1}{2} \, n e^{\left(b c x + a c\right)} - \frac{1}{2} \, n e^{\left(-b c x - a c\right)}\right)}}{b c n}"," ",0,"e^(1/2*n*e^(b*c*x + a*c) - 1/2*n*e^(-b*c*x - a*c))/(b*c*n)","A",0
976,0,0,0,0.000000," ","integrate(exp(n*sinh(b*x+a))*coth(b*x+a),x, algorithm=""giac"")","\int \coth\left(b x + a\right) e^{\left(n \sinh\left(b x + a\right)\right)}\,{d x}"," ",0,"integrate(coth(b*x + a)*e^(n*sinh(b*x + a)), x)","F",0
977,0,0,0,0.000000," ","integrate(exp(n*sinh(b*c*x+a*c))*coth(c*(b*x+a)),x, algorithm=""giac"")","\int \coth\left({\left(b x + a\right)} c\right) e^{\left(n \sinh\left(b c x + a c\right)\right)}\,{d x}"," ",0,"integrate(coth((b*x + a)*c)*e^(n*sinh(b*c*x + a*c)), x)","F",0
978,0,0,0,0.000000," ","integrate(exp(n*sinh(c*(b*x+a)))*coth(b*c*x+a*c),x, algorithm=""giac"")","\int \coth\left(b c x + a c\right) e^{\left(n \sinh\left({\left(b x + a\right)} c\right)\right)}\,{d x}"," ",0,"integrate(coth(b*c*x + a*c)*e^(n*sinh((b*x + a)*c)), x)","F",0
979,1,45,0,0.124356," ","integrate(sech(x)^2/(a+b*tanh(x)),x, algorithm=""giac"")","\frac{{\left(a + b\right)} \log\left({\left| a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b \right|}\right)}{a b + b^{2}} - \frac{\log\left(e^{\left(2 \, x\right)} + 1\right)}{b}"," ",0,"(a + b)*log(abs(a*e^(2*x) + b*e^(2*x) + a - b))/(a*b + b^2) - log(e^(2*x) + 1)/b","B",0
980,1,5,0,0.115243," ","integrate(sech(x)^2/(1+tanh(x)^2),x, algorithm=""giac"")","\arctan\left(e^{\left(2 \, x\right)}\right)"," ",0,"arctan(e^(2*x))","A",0
981,1,11,0,0.130912," ","integrate(sech(x)^2/(9+tanh(x)^2),x, algorithm=""giac"")","\frac{1}{3} \, \arctan\left(\frac{5}{3} \, e^{\left(2 \, x\right)} + \frac{4}{3}\right)"," ",0,"1/3*arctan(5/3*e^(2*x) + 4/3)","A",0
982,1,39,0,0.123729," ","integrate(sech(x)^2*(a+b*tanh(x))^n,x, algorithm=""giac"")","\frac{\left(\frac{a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} + a - b}{e^{\left(2 \, x\right)} + 1}\right)^{n + 1}}{b {\left(n + 1\right)}}"," ",0,"((a*e^(2*x) + b*e^(2*x) + a - b)/(e^(2*x) + 1))^(n + 1)/(b*(n + 1))","B",0
983,1,12,0,0.130598," ","integrate(sech(x)^2*(1+1/(1-tanh(x)^2)),x, algorithm=""giac"")","x - \frac{2}{e^{\left(2 \, x\right)} + 1}"," ",0,"x - 2/(e^(2*x) + 1)","B",0
984,1,12,0,0.129865," ","integrate(sech(x)^2*(2-tanh(x)^2)/(1-tanh(x)^2),x, algorithm=""giac"")","x - \frac{2}{e^{\left(2 \, x\right)} + 1}"," ",0,"x - 2/(e^(2*x) + 1)","B",0
985,1,9,0,0.119910," ","integrate(sech(x)^2/(2+2*tanh(x)+tanh(x)^2),x, algorithm=""giac"")","\arctan\left(\frac{5}{2} \, e^{\left(2 \, x\right)} + \frac{1}{2}\right)"," ",0,"arctan(5/2*e^(2*x) + 1/2)","A",0
986,1,29,0,0.122265," ","integrate(sech(x)^2/(tanh(x)^2+tanh(x)^3),x, algorithm=""giac"")","2 \, x + \frac{e^{\left(2 \, x\right)} - 3}{e^{\left(2 \, x\right)} - 1} - \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"2*x + (e^(2*x) - 3)/(e^(2*x) - 1) - log(abs(e^(2*x) - 1))","A",0
987,1,26,0,0.119112," ","integrate(sech(x)^2/(-tanh(x)^2+tanh(x)^3),x, algorithm=""giac"")","\frac{e^{\left(2 \, x\right)} + 1}{e^{\left(2 \, x\right)} - 1} - \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"(e^(2*x) + 1)/(e^(2*x) - 1) - log(abs(e^(2*x) - 1))","A",0
988,1,1,0,0.138236," ","integrate(sech(x)^2/(3-4*tanh(x)^3),x, algorithm=""giac"")","0"," ",0,"0","A",0
989,1,19,0,0.131837," ","integrate(sech(x)^2/(11-5*tanh(x)+5*tanh(x)^2),x, algorithm=""giac"")","\frac{2}{195} \, \sqrt{195} \arctan\left(\frac{1}{195} \, \sqrt{195} {\left(11 \, e^{\left(2 \, x\right)} + 6\right)}\right)"," ",0,"2/195*sqrt(195)*arctan(1/195*sqrt(195)*(11*e^(2*x) + 6))","A",0
990,1,113,0,0.133097," ","integrate(sech(x)^2*(a+b*tanh(x))/(c+d*tanh(x)),x, algorithm=""giac"")","-\frac{{\left(b c^{2} - a c d + b c d - a d^{2}\right)} \log\left({\left| c e^{\left(2 \, x\right)} + d e^{\left(2 \, x\right)} + c - d \right|}\right)}{c d^{2} + d^{3}} + \frac{{\left(b c - a d\right)} \log\left(e^{\left(2 \, x\right)} + 1\right)}{d^{2}} - \frac{b c e^{\left(2 \, x\right)} - a d e^{\left(2 \, x\right)} + b c - a d + 2 \, b d}{d^{2} {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"-(b*c^2 - a*c*d + b*c*d - a*d^2)*log(abs(c*e^(2*x) + d*e^(2*x) + c - d))/(c*d^2 + d^3) + (b*c - a*d)*log(e^(2*x) + 1)/d^2 - (b*c*e^(2*x) - a*d*e^(2*x) + b*c - a*d + 2*b*d)/(d^2*(e^(2*x) + 1))","B",0
991,1,264,0,0.128234," ","integrate(sech(x)^2*(a+b*tanh(x))^2/(c+d*tanh(x)),x, algorithm=""giac"")","\frac{{\left(b^{2} c^{3} - 2 \, a b c^{2} d + b^{2} c^{2} d + a^{2} c d^{2} - 2 \, a b c d^{2} + a^{2} d^{3}\right)} \log\left({\left| c e^{\left(2 \, x\right)} + d e^{\left(2 \, x\right)} + c - d \right|}\right)}{c d^{3} + d^{4}} - \frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \log\left(e^{\left(2 \, x\right)} + 1\right)}{d^{3}} + \frac{3 \, b^{2} c^{2} e^{\left(4 \, x\right)} - 6 \, a b c d e^{\left(4 \, x\right)} + 3 \, a^{2} d^{2} e^{\left(4 \, x\right)} + 6 \, b^{2} c^{2} e^{\left(2 \, x\right)} - 12 \, a b c d e^{\left(2 \, x\right)} + 4 \, b^{2} c d e^{\left(2 \, x\right)} + 6 \, a^{2} d^{2} e^{\left(2 \, x\right)} - 8 \, a b d^{2} e^{\left(2 \, x\right)} - 4 \, b^{2} d^{2} e^{\left(2 \, x\right)} + 3 \, b^{2} c^{2} - 6 \, a b c d + 4 \, b^{2} c d + 3 \, a^{2} d^{2} - 8 \, a b d^{2}}{2 \, d^{3} {\left(e^{\left(2 \, x\right)} + 1\right)}^{2}}"," ",0,"(b^2*c^3 - 2*a*b*c^2*d + b^2*c^2*d + a^2*c*d^2 - 2*a*b*c*d^2 + a^2*d^3)*log(abs(c*e^(2*x) + d*e^(2*x) + c - d))/(c*d^3 + d^4) - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(e^(2*x) + 1)/d^3 + 1/2*(3*b^2*c^2*e^(4*x) - 6*a*b*c*d*e^(4*x) + 3*a^2*d^2*e^(4*x) + 6*b^2*c^2*e^(2*x) - 12*a*b*c*d*e^(2*x) + 4*b^2*c*d*e^(2*x) + 6*a^2*d^2*e^(2*x) - 8*a*b*d^2*e^(2*x) - 4*b^2*d^2*e^(2*x) + 3*b^2*c^2 - 6*a*b*c*d + 4*b^2*c*d + 3*a^2*d^2 - 8*a*b*d^2)/(d^3*(e^(2*x) + 1)^2)","B",0
992,1,543,0,0.154064," ","integrate(sech(x)^2*(a+b*tanh(x))^3/(c+d*tanh(x)),x, algorithm=""giac"")","-\frac{{\left(b^{3} c^{4} - 3 \, a b^{2} c^{3} d + b^{3} c^{3} d + 3 \, a^{2} b c^{2} d^{2} - 3 \, a b^{2} c^{2} d^{2} - a^{3} c d^{3} + 3 \, a^{2} b c d^{3} - a^{3} d^{4}\right)} \log\left({\left| c e^{\left(2 \, x\right)} + d e^{\left(2 \, x\right)} + c - d \right|}\right)}{c d^{4} + d^{5}} + \frac{{\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \log\left(e^{\left(2 \, x\right)} + 1\right)}{d^{4}} - \frac{11 \, b^{3} c^{3} e^{\left(6 \, x\right)} - 33 \, a b^{2} c^{2} d e^{\left(6 \, x\right)} + 33 \, a^{2} b c d^{2} e^{\left(6 \, x\right)} - 11 \, a^{3} d^{3} e^{\left(6 \, x\right)} + 33 \, b^{3} c^{3} e^{\left(4 \, x\right)} - 99 \, a b^{2} c^{2} d e^{\left(4 \, x\right)} + 12 \, b^{3} c^{2} d e^{\left(4 \, x\right)} + 99 \, a^{2} b c d^{2} e^{\left(4 \, x\right)} - 36 \, a b^{2} c d^{2} e^{\left(4 \, x\right)} - 12 \, b^{3} c d^{2} e^{\left(4 \, x\right)} - 33 \, a^{3} d^{3} e^{\left(4 \, x\right)} + 36 \, a^{2} b d^{3} e^{\left(4 \, x\right)} + 36 \, a b^{2} d^{3} e^{\left(4 \, x\right)} + 12 \, b^{3} d^{3} e^{\left(4 \, x\right)} + 33 \, b^{3} c^{3} e^{\left(2 \, x\right)} - 99 \, a b^{2} c^{2} d e^{\left(2 \, x\right)} + 24 \, b^{3} c^{2} d e^{\left(2 \, x\right)} + 99 \, a^{2} b c d^{2} e^{\left(2 \, x\right)} - 72 \, a b^{2} c d^{2} e^{\left(2 \, x\right)} - 12 \, b^{3} c d^{2} e^{\left(2 \, x\right)} - 33 \, a^{3} d^{3} e^{\left(2 \, x\right)} + 72 \, a^{2} b d^{3} e^{\left(2 \, x\right)} + 36 \, a b^{2} d^{3} e^{\left(2 \, x\right)} + 11 \, b^{3} c^{3} - 33 \, a b^{2} c^{2} d + 12 \, b^{3} c^{2} d + 33 \, a^{2} b c d^{2} - 36 \, a b^{2} c d^{2} - 11 \, a^{3} d^{3} + 36 \, a^{2} b d^{3} + 4 \, b^{3} d^{3}}{6 \, d^{4} {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}}"," ",0,"-(b^3*c^4 - 3*a*b^2*c^3*d + b^3*c^3*d + 3*a^2*b*c^2*d^2 - 3*a*b^2*c^2*d^2 - a^3*c*d^3 + 3*a^2*b*c*d^3 - a^3*d^4)*log(abs(c*e^(2*x) + d*e^(2*x) + c - d))/(c*d^4 + d^5) + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*log(e^(2*x) + 1)/d^4 - 1/6*(11*b^3*c^3*e^(6*x) - 33*a*b^2*c^2*d*e^(6*x) + 33*a^2*b*c*d^2*e^(6*x) - 11*a^3*d^3*e^(6*x) + 33*b^3*c^3*e^(4*x) - 99*a*b^2*c^2*d*e^(4*x) + 12*b^3*c^2*d*e^(4*x) + 99*a^2*b*c*d^2*e^(4*x) - 36*a*b^2*c*d^2*e^(4*x) - 12*b^3*c*d^2*e^(4*x) - 33*a^3*d^3*e^(4*x) + 36*a^2*b*d^3*e^(4*x) + 36*a*b^2*d^3*e^(4*x) + 12*b^3*d^3*e^(4*x) + 33*b^3*c^3*e^(2*x) - 99*a*b^2*c^2*d*e^(2*x) + 24*b^3*c^2*d*e^(2*x) + 99*a^2*b*c*d^2*e^(2*x) - 72*a*b^2*c*d^2*e^(2*x) - 12*b^3*c*d^2*e^(2*x) - 33*a^3*d^3*e^(2*x) + 72*a^2*b*d^3*e^(2*x) + 36*a*b^2*d^3*e^(2*x) + 11*b^3*c^3 - 33*a*b^2*c^2*d + 12*b^3*c^2*d + 33*a^2*b*c*d^2 - 36*a*b^2*c*d^2 - 11*a^3*d^3 + 36*a^2*b*d^3 + 4*b^3*d^3)/(d^4*(e^(2*x) + 1)^3)","B",0
993,1,32,0,0.121615," ","integrate(sech(x)^2*tanh(x)^2/(2+tanh(x)^3)^2,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, e^{\left(4 \, x\right)} + 1\right)}}{9 \, {\left(3 \, e^{\left(6 \, x\right)} + 3 \, e^{\left(4 \, x\right)} + 9 \, e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"-2/9*(3*e^(4*x) + 1)/(3*e^(6*x) + 3*e^(4*x) + 9*e^(2*x) + 1)","B",0
994,1,66,0,0.161237," ","integrate(sech(x)^2*tanh(x)^6*(1-tanh(x)^2)^3,x, algorithm=""giac"")","-\frac{32 \, {\left(3003 \, e^{\left(18 \, x\right)} - 9009 \, e^{\left(16 \, x\right)} + 18018 \, e^{\left(14 \, x\right)} - 16302 \, e^{\left(12 \, x\right)} + 10296 \, e^{\left(10 \, x\right)} - 2288 \, e^{\left(8 \, x\right)} + 286 \, e^{\left(6 \, x\right)} + 78 \, e^{\left(4 \, x\right)} + 13 \, e^{\left(2 \, x\right)} + 1\right)}}{3003 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{13}}"," ",0,"-32/3003*(3003*e^(18*x) - 9009*e^(16*x) + 18018*e^(14*x) - 16302*e^(12*x) + 10296*e^(10*x) - 2288*e^(8*x) + 286*e^(6*x) + 78*e^(4*x) + 13*e^(2*x) + 1)/(e^(2*x) + 1)^13","B",0
995,1,28,0,0.135919," ","integrate(sech(x)^2*(2+tanh(x)^2)/(1+tanh(x)^3),x, algorithm=""giac"")","\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} e^{\left(2 \, x\right)}\right) + 2 \, x - \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"2/3*sqrt(3)*arctan(1/3*sqrt(3)*e^(2*x)) + 2*x - log(e^(2*x) + 1)","A",0
996,1,12,0,0.112607," ","integrate((1+cosh(x)^2)*sech(x)^2,x, algorithm=""giac"")","x - \frac{2}{e^{\left(2 \, x\right)} + 1}"," ",0,"x - 2/(e^(2*x) + 1)","B",0
997,1,35,0,0.119874," ","integrate(sech(x)^2/(1+sech(x)^2-3*tanh(x)),x, algorithm=""giac"")","-\frac{1}{17} \, \sqrt{17} \log\left(\frac{{\left| -\sqrt{17} + 2 \, e^{\left(2 \, x\right)} - 3 \right|}}{{\left| \sqrt{17} + 2 \, e^{\left(2 \, x\right)} - 3 \right|}}\right)"," ",0,"-1/17*sqrt(17)*log(abs(-sqrt(17) + 2*e^(2*x) - 3)/abs(sqrt(17) + 2*e^(2*x) - 3))","B",0
998,1,44,0,0.154873," ","integrate(sech(x)^2/(4-sech(x)^2)^(1/2),x, algorithm=""giac"")","-\log\left(\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)} + 1} - e^{\left(2 \, x\right)}\right) + \log\left(-\sqrt{e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)} + 1} + e^{\left(2 \, x\right)} + 2\right)"," ",0,"-log(sqrt(e^(4*x) + e^(2*x) + 1) - e^(2*x)) + log(-sqrt(e^(4*x) + e^(2*x) + 1) + e^(2*x) + 2)","B",0
999,1,44,0,0.155622," ","integrate(sech(x)^2/(1-4*tanh(x)^2)^(1/2),x, algorithm=""giac"")","-\arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(\sqrt{3} \sqrt{-3 \, e^{\left(4 \, x\right)} + 10 \, e^{\left(2 \, x\right)} - 3} - 4\right)}}{3 \, e^{\left(2 \, x\right)} - 5} - 1\right)}\right)"," ",0,"-arctan(1/3*sqrt(3)*(2*(sqrt(3)*sqrt(-3*e^(4*x) + 10*e^(2*x) - 3) - 4)/(3*e^(2*x) - 5) - 1))","B",0
1000,0,0,0,0.000000," ","integrate(sech(x)^2/(-4+tanh(x)^2)^(1/2),x, algorithm=""giac"")","\int \frac{\operatorname{sech}\left(x\right)^{2}}{\sqrt{\tanh\left(x\right)^{2} - 4}}\,{d x}"," ",0,"integrate(sech(x)^2/sqrt(tanh(x)^2 - 4), x)","F",0
1001,1,120,0,0.152605," ","integrate(sech(x)^2*(1+coth(x)^2)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} \log\left(\frac{{\left| -2 \, \sqrt{2} + 2 \, \sqrt{e^{\left(4 \, x\right)} + 1} - 2 \, e^{\left(2 \, x\right)} + 2 \right|}}{2 \, {\left(\sqrt{2} + \sqrt{e^{\left(4 \, x\right)} + 1} - e^{\left(2 \, x\right)} + 1\right)}}\right) - \frac{4 \, {\left(\sqrt{e^{\left(4 \, x\right)} + 1} - e^{\left(2 \, x\right)} + 1\right)}}{{\left(\sqrt{e^{\left(4 \, x\right)} + 1} - e^{\left(2 \, x\right)}\right)}^{2} - 2 \, \sqrt{e^{\left(4 \, x\right)} + 1} + 2 \, e^{\left(2 \, x\right)} - 1}\right)} \mathrm{sgn}\left(e^{\left(2 \, x\right)} - 1\right)"," ",0,"1/2*sqrt(2)*(sqrt(2)*log(1/2*abs(-2*sqrt(2) + 2*sqrt(e^(4*x) + 1) - 2*e^(2*x) + 2)/(sqrt(2) + sqrt(e^(4*x) + 1) - e^(2*x) + 1)) - 4*(sqrt(e^(4*x) + 1) - e^(2*x) + 1)/((sqrt(e^(4*x) + 1) - e^(2*x))^2 - 2*sqrt(e^(4*x) + 1) + 2*e^(2*x) - 1))*sgn(e^(2*x) - 1)","B",0
1002,1,145,0,0.139361," ","integrate(sech(x)^2*(1+tanh(x)^2)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{2} {\left(\sqrt{2} \log\left(\frac{\sqrt{2} - \sqrt{e^{\left(4 \, x\right)} + 1} + e^{\left(2 \, x\right)} + 1}{\sqrt{2} + \sqrt{e^{\left(4 \, x\right)} + 1} - e^{\left(2 \, x\right)} - 1}\right) - \frac{4 \, {\left(3 \, {\left(\sqrt{e^{\left(4 \, x\right)} + 1} - e^{\left(2 \, x\right)}\right)}^{3} - {\left(\sqrt{e^{\left(4 \, x\right)} + 1} - e^{\left(2 \, x\right)}\right)}^{2} - \sqrt{e^{\left(4 \, x\right)} + 1} + e^{\left(2 \, x\right)} - 1\right)}}{{\left({\left(\sqrt{e^{\left(4 \, x\right)} + 1} - e^{\left(2 \, x\right)}\right)}^{2} - 2 \, \sqrt{e^{\left(4 \, x\right)} + 1} + 2 \, e^{\left(2 \, x\right)} - 1\right)}^{2}}\right)}"," ",0,"1/4*sqrt(2)*(sqrt(2)*log((sqrt(2) - sqrt(e^(4*x) + 1) + e^(2*x) + 1)/(sqrt(2) + sqrt(e^(4*x) + 1) - e^(2*x) - 1)) - 4*(3*(sqrt(e^(4*x) + 1) - e^(2*x))^3 - (sqrt(e^(4*x) + 1) - e^(2*x))^2 - sqrt(e^(4*x) + 1) + e^(2*x) - 1)/((sqrt(e^(4*x) + 1) - e^(2*x))^2 - 2*sqrt(e^(4*x) + 1) + 2*e^(2*x) - 1)^2)","B",0
1003,1,41,0,0.117726," ","integrate(sech(x)^4*(-1+sech(x)^2)^2*tanh(x),x, algorithm=""giac"")","-\frac{4 \, {\left(3 \, e^{\left(12 \, x\right)} - 4 \, e^{\left(10 \, x\right)} + 10 \, e^{\left(8 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 3 \, e^{\left(4 \, x\right)}\right)}}{3 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{8}}"," ",0,"-4/3*(3*e^(12*x) - 4*e^(10*x) + 10*e^(8*x) - 4*e^(6*x) + 3*e^(4*x))/(e^(2*x) + 1)^8","B",0
1004,0,0,0,0.000000," ","integrate(exp(n*sinh(b*x+a))*sinh(2*b*x+2*a),x, algorithm=""giac"")","\int e^{\left(n \sinh\left(b x + a\right)\right)} \sinh\left(2 \, b x + 2 \, a\right)\,{d x}"," ",0,"integrate(e^(n*sinh(b*x + a))*sinh(2*b*x + 2*a), x)","F",0
1005,0,0,0,0.000000," ","integrate(exp(n*sinh(b*x+a))*sinh(2*b*x+2*a),x, algorithm=""giac"")","\int e^{\left(n \sinh\left(b x + a\right)\right)} \sinh\left(2 \, b x + 2 \, a\right)\,{d x}"," ",0,"integrate(e^(n*sinh(b*x + a))*sinh(2*b*x + 2*a), x)","F",0
1006,1,255,0,0.189039," ","integrate(exp(n*sinh(1/2*a+1/2*b*x))*sinh(b*x+a),x, algorithm=""giac"")","\frac{2 \, {\left(n e^{\left(b x + \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} + n e^{\left(b x + a\right)} - n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} - \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - n e^{\left(b x + a\right)} + n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} + a\right)} - n e^{\left(\frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} + n e^{\left(b x + a\right)} - n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} - \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - n e^{\left(b x + a\right)} + n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)}\right)} - 2 \, e^{\left(\frac{1}{2} \, b x + \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} + n e^{\left(b x + a\right)} - n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} - \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - n e^{\left(b x + a\right)} + n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} + \frac{1}{2} \, a\right)}\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)}}{b n^{2}}"," ",0,"2*(n*e^(b*x + 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) + n*e^(b*x + a) - n)*e^(-1/2*b*x - 1/2*a) - 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) - n*e^(b*x + a) + n)*e^(-1/2*b*x - 1/2*a) + a) - n*e^(1/4*(2*b*x*e^(1/2*b*x + 1/2*a) + n*e^(b*x + a) - n)*e^(-1/2*b*x - 1/2*a) - 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) - n*e^(b*x + a) + n)*e^(-1/2*b*x - 1/2*a)) - 2*e^(1/2*b*x + 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) + n*e^(b*x + a) - n)*e^(-1/2*b*x - 1/2*a) - 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) - n*e^(b*x + a) + n)*e^(-1/2*b*x - 1/2*a) + 1/2*a))*e^(-1/2*b*x - 1/2*a)/(b*n^2)","B",0
1007,1,255,0,0.189384," ","integrate(exp(n*sinh(1/2*a+1/2*b*x))*sinh(b*x+a),x, algorithm=""giac"")","\frac{2 \, {\left(n e^{\left(b x + \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} + n e^{\left(b x + a\right)} - n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} - \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - n e^{\left(b x + a\right)} + n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} + a\right)} - n e^{\left(\frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} + n e^{\left(b x + a\right)} - n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} - \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - n e^{\left(b x + a\right)} + n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)}\right)} - 2 \, e^{\left(\frac{1}{2} \, b x + \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} + n e^{\left(b x + a\right)} - n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} - \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - n e^{\left(b x + a\right)} + n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} + \frac{1}{2} \, a\right)}\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)}}{b n^{2}}"," ",0,"2*(n*e^(b*x + 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) + n*e^(b*x + a) - n)*e^(-1/2*b*x - 1/2*a) - 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) - n*e^(b*x + a) + n)*e^(-1/2*b*x - 1/2*a) + a) - n*e^(1/4*(2*b*x*e^(1/2*b*x + 1/2*a) + n*e^(b*x + a) - n)*e^(-1/2*b*x - 1/2*a) - 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) - n*e^(b*x + a) + n)*e^(-1/2*b*x - 1/2*a)) - 2*e^(1/2*b*x + 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) + n*e^(b*x + a) - n)*e^(-1/2*b*x - 1/2*a) - 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) - n*e^(b*x + a) + n)*e^(-1/2*b*x - 1/2*a) + 1/2*a))*e^(-1/2*b*x - 1/2*a)/(b*n^2)","B",0
1008,0,0,0,0.000000," ","integrate(exp(n*cosh(b*x+a))*sinh(2*b*x+2*a),x, algorithm=""giac"")","\int e^{\left(n \cosh\left(b x + a\right)\right)} \sinh\left(2 \, b x + 2 \, a\right)\,{d x}"," ",0,"integrate(e^(n*cosh(b*x + a))*sinh(2*b*x + 2*a), x)","F",0
1009,0,0,0,0.000000," ","integrate(exp(n*cosh(b*x+a))*sinh(2*b*x+2*a),x, algorithm=""giac"")","\int e^{\left(n \cosh\left(b x + a\right)\right)} \sinh\left(2 \, b x + 2 \, a\right)\,{d x}"," ",0,"integrate(e^(n*cosh(b*x + a))*sinh(2*b*x + 2*a), x)","F",0
1010,1,254,0,0.176607," ","integrate(exp(n*cosh(1/2*a+1/2*b*x))*sinh(b*x+a),x, algorithm=""giac"")","\frac{2 \, {\left(n e^{\left(b x + \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} + n e^{\left(b x + a\right)} + n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} - \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - n e^{\left(b x + a\right)} - n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} + a\right)} + n e^{\left(\frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} + n e^{\left(b x + a\right)} + n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} - \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - n e^{\left(b x + a\right)} - n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)}\right)} - 2 \, e^{\left(\frac{1}{2} \, b x + \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} + n e^{\left(b x + a\right)} + n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} - \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - n e^{\left(b x + a\right)} - n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} + \frac{1}{2} \, a\right)}\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)}}{b n^{2}}"," ",0,"2*(n*e^(b*x + 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) + n*e^(b*x + a) + n)*e^(-1/2*b*x - 1/2*a) - 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) - n*e^(b*x + a) - n)*e^(-1/2*b*x - 1/2*a) + a) + n*e^(1/4*(2*b*x*e^(1/2*b*x + 1/2*a) + n*e^(b*x + a) + n)*e^(-1/2*b*x - 1/2*a) - 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) - n*e^(b*x + a) - n)*e^(-1/2*b*x - 1/2*a)) - 2*e^(1/2*b*x + 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) + n*e^(b*x + a) + n)*e^(-1/2*b*x - 1/2*a) - 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) - n*e^(b*x + a) - n)*e^(-1/2*b*x - 1/2*a) + 1/2*a))*e^(-1/2*b*x - 1/2*a)/(b*n^2)","B",0
1011,1,254,0,0.174593," ","integrate(exp(n*cosh(1/2*a+1/2*b*x))*sinh(b*x+a),x, algorithm=""giac"")","\frac{2 \, {\left(n e^{\left(b x + \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} + n e^{\left(b x + a\right)} + n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} - \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - n e^{\left(b x + a\right)} - n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} + a\right)} + n e^{\left(\frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} + n e^{\left(b x + a\right)} + n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} - \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - n e^{\left(b x + a\right)} - n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)}\right)} - 2 \, e^{\left(\frac{1}{2} \, b x + \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} + n e^{\left(b x + a\right)} + n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} - \frac{1}{4} \, {\left(2 \, b x e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - n e^{\left(b x + a\right)} - n\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)} + \frac{1}{2} \, a\right)}\right)} e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)}}{b n^{2}}"," ",0,"2*(n*e^(b*x + 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) + n*e^(b*x + a) + n)*e^(-1/2*b*x - 1/2*a) - 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) - n*e^(b*x + a) - n)*e^(-1/2*b*x - 1/2*a) + a) + n*e^(1/4*(2*b*x*e^(1/2*b*x + 1/2*a) + n*e^(b*x + a) + n)*e^(-1/2*b*x - 1/2*a) - 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) - n*e^(b*x + a) - n)*e^(-1/2*b*x - 1/2*a)) - 2*e^(1/2*b*x + 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) + n*e^(b*x + a) + n)*e^(-1/2*b*x - 1/2*a) - 1/4*(2*b*x*e^(1/2*b*x + 1/2*a) - n*e^(b*x + a) - n)*e^(-1/2*b*x - 1/2*a) + 1/2*a))*e^(-1/2*b*x - 1/2*a)/(b*n^2)","B",0
1012,0,0,0,0.000000," ","integrate(csch(x)*log(tanh(x))*sech(x),x, algorithm=""giac"")","\int \operatorname{csch}\left(x\right) \log\left(\tanh\left(x\right)\right) \operatorname{sech}\left(x\right)\,{d x}"," ",0,"integrate(csch(x)*log(tanh(x))*sech(x), x)","F",0
1013,1,20,0,0.134043," ","integrate(csch(2*x)*log(tanh(x)),x, algorithm=""giac"")","\frac{1}{4} \, \log\left(\frac{e^{\left(2 \, x\right)} - 1}{e^{\left(2 \, x\right)} + 1}\right)^{2}"," ",0,"1/4*log((e^(2*x) - 1)/(e^(2*x) + 1))^2","B",0
1014,0,0,0,0.000000," ","integrate(cosh(b*x+a)*F(c,d,sinh(b*x+a),r,s),x, algorithm=""giac"")","\int F\left(c, d, \sinh\left(b x + a\right), r, s\right) \cosh\left(b x + a\right)\,{d x}"," ",0,"integrate(F(c, d, sinh(b*x + a), r, s)*cosh(b*x + a), x)","F",0
1015,0,0,0,0.000000," ","integrate(F(c,d,cosh(b*x+a),r,s)*sinh(b*x+a),x, algorithm=""giac"")","\int F\left(c, d, \cosh\left(b x + a\right), r, s\right) \sinh\left(b x + a\right)\,{d x}"," ",0,"integrate(F(c, d, cosh(b*x + a), r, s)*sinh(b*x + a), x)","F",0
1016,0,0,0,0.000000," ","integrate(F(c,d,tanh(b*x+a),r,s)*sech(b*x+a)^2,x, algorithm=""giac"")","\int F\left(c, d, \tanh\left(b x + a\right), r, s\right) \operatorname{sech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(F(c, d, tanh(b*x + a), r, s)*sech(b*x + a)^2, x)","F",0
1017,0,0,0,0.000000," ","integrate(csch(b*x+a)^2*F(c,d,coth(b*x+a),r,s),x, algorithm=""giac"")","\int F\left(c, d, \coth\left(b x + a\right), r, s\right) \operatorname{csch}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(F(c, d, coth(b*x + a), r, s)*csch(b*x + a)^2, x)","F",0
1018,1,24,0,0.134158," ","integrate(sech(x)*(5-11*sech(x)^2)*tanh(x),x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 44\right)}}{3 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{3}}"," ",0,"-2/3*(15*(e^(-x) + e^x)^2 - 44)/(e^(-x) + e^x)^3","B",0
1019,1,46,0,0.137673," ","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
1020,1,40,0,0.140020," ","integrate((a+b*coth(x))^n*csch(x)^2,x, algorithm=""giac"")","-\frac{\left(\frac{a e^{\left(2 \, x\right)} + b e^{\left(2 \, x\right)} - a + b}{e^{\left(2 \, x\right)} - 1}\right)^{n + 1}}{b {\left(n + 1\right)}}"," ",0,"-((a*e^(2*x) + b*e^(2*x) - a + b)/(e^(2*x) - 1))^(n + 1)/(b*(n + 1))","A",0
1021,1,12,0,0.131044," ","integrate(csch(x)^2*(-1+sinh(x)^2),x, algorithm=""giac"")","x + \frac{2}{e^{\left(2 \, x\right)} - 1}"," ",0,"x + 2/(e^(2*x) - 1)","B",0
1022,1,12,0,0.128443," ","integrate((-1-1/(1-coth(x)^2))*csch(x)^2,x, algorithm=""giac"")","x + \frac{2}{e^{\left(2 \, x\right)} - 1}"," ",0,"x + 2/(e^(2*x) - 1)","B",0
1023,1,113,0,0.122791," ","integrate((a+b*coth(x))*csch(x)^2/(c+d*coth(x)),x, algorithm=""giac"")","\frac{{\left(b c^{2} - a c d + b c d - a d^{2}\right)} \log\left({\left| c e^{\left(2 \, x\right)} + d e^{\left(2 \, x\right)} - c + d \right|}\right)}{c d^{2} + d^{3}} - \frac{{\left(b c - a d\right)} \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)}{d^{2}} + \frac{b c e^{\left(2 \, x\right)} - a d e^{\left(2 \, x\right)} - b c + a d - 2 \, b d}{d^{2} {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"(b*c^2 - a*c*d + b*c*d - a*d^2)*log(abs(c*e^(2*x) + d*e^(2*x) - c + d))/(c*d^2 + d^3) - (b*c - a*d)*log(abs(e^(2*x) - 1))/d^2 + (b*c*e^(2*x) - a*d*e^(2*x) - b*c + a*d - 2*b*d)/(d^2*(e^(2*x) - 1))","B",0
1024,1,265,0,0.127028," ","integrate((a+b*coth(x))^2*csch(x)^2/(c+d*coth(x)),x, algorithm=""giac"")","-\frac{{\left(b^{2} c^{3} - 2 \, a b c^{2} d + b^{2} c^{2} d + a^{2} c d^{2} - 2 \, a b c d^{2} + a^{2} d^{3}\right)} \log\left({\left| c e^{\left(2 \, x\right)} + d e^{\left(2 \, x\right)} - c + d \right|}\right)}{c d^{3} + d^{4}} + \frac{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)}{d^{3}} - \frac{3 \, b^{2} c^{2} e^{\left(4 \, x\right)} - 6 \, a b c d e^{\left(4 \, x\right)} + 3 \, a^{2} d^{2} e^{\left(4 \, x\right)} - 6 \, b^{2} c^{2} e^{\left(2 \, x\right)} + 12 \, a b c d e^{\left(2 \, x\right)} - 4 \, b^{2} c d e^{\left(2 \, x\right)} - 6 \, a^{2} d^{2} e^{\left(2 \, x\right)} + 8 \, a b d^{2} e^{\left(2 \, x\right)} + 4 \, b^{2} d^{2} e^{\left(2 \, x\right)} + 3 \, b^{2} c^{2} - 6 \, a b c d + 4 \, b^{2} c d + 3 \, a^{2} d^{2} - 8 \, a b d^{2}}{2 \, d^{3} {\left(e^{\left(2 \, x\right)} - 1\right)}^{2}}"," ",0,"-(b^2*c^3 - 2*a*b*c^2*d + b^2*c^2*d + a^2*c*d^2 - 2*a*b*c*d^2 + a^2*d^3)*log(abs(c*e^(2*x) + d*e^(2*x) - c + d))/(c*d^3 + d^4) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*log(abs(e^(2*x) - 1))/d^3 - 1/2*(3*b^2*c^2*e^(4*x) - 6*a*b*c*d*e^(4*x) + 3*a^2*d^2*e^(4*x) - 6*b^2*c^2*e^(2*x) + 12*a*b*c*d*e^(2*x) - 4*b^2*c*d*e^(2*x) - 6*a^2*d^2*e^(2*x) + 8*a*b*d^2*e^(2*x) + 4*b^2*d^2*e^(2*x) + 3*b^2*c^2 - 6*a*b*c*d + 4*b^2*c*d + 3*a^2*d^2 - 8*a*b*d^2)/(d^3*(e^(2*x) - 1)^2)","B",0
1025,1,544,0,0.140893," ","integrate((a+b*coth(x))^3*csch(x)^2/(c+d*coth(x)),x, algorithm=""giac"")","\frac{{\left(b^{3} c^{4} - 3 \, a b^{2} c^{3} d + b^{3} c^{3} d + 3 \, a^{2} b c^{2} d^{2} - 3 \, a b^{2} c^{2} d^{2} - a^{3} c d^{3} + 3 \, a^{2} b c d^{3} - a^{3} d^{4}\right)} \log\left({\left| c e^{\left(2 \, x\right)} + d e^{\left(2 \, x\right)} - c + d \right|}\right)}{c d^{4} + d^{5}} - \frac{{\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)}{d^{4}} + \frac{11 \, b^{3} c^{3} e^{\left(6 \, x\right)} - 33 \, a b^{2} c^{2} d e^{\left(6 \, x\right)} + 33 \, a^{2} b c d^{2} e^{\left(6 \, x\right)} - 11 \, a^{3} d^{3} e^{\left(6 \, x\right)} - 33 \, b^{3} c^{3} e^{\left(4 \, x\right)} + 99 \, a b^{2} c^{2} d e^{\left(4 \, x\right)} - 12 \, b^{3} c^{2} d e^{\left(4 \, x\right)} - 99 \, a^{2} b c d^{2} e^{\left(4 \, x\right)} + 36 \, a b^{2} c d^{2} e^{\left(4 \, x\right)} + 12 \, b^{3} c d^{2} e^{\left(4 \, x\right)} + 33 \, a^{3} d^{3} e^{\left(4 \, x\right)} - 36 \, a^{2} b d^{3} e^{\left(4 \, x\right)} - 36 \, a b^{2} d^{3} e^{\left(4 \, x\right)} - 12 \, b^{3} d^{3} e^{\left(4 \, x\right)} + 33 \, b^{3} c^{3} e^{\left(2 \, x\right)} - 99 \, a b^{2} c^{2} d e^{\left(2 \, x\right)} + 24 \, b^{3} c^{2} d e^{\left(2 \, x\right)} + 99 \, a^{2} b c d^{2} e^{\left(2 \, x\right)} - 72 \, a b^{2} c d^{2} e^{\left(2 \, x\right)} - 12 \, b^{3} c d^{2} e^{\left(2 \, x\right)} - 33 \, a^{3} d^{3} e^{\left(2 \, x\right)} + 72 \, a^{2} b d^{3} e^{\left(2 \, x\right)} + 36 \, a b^{2} d^{3} e^{\left(2 \, x\right)} - 11 \, b^{3} c^{3} + 33 \, a b^{2} c^{2} d - 12 \, b^{3} c^{2} d - 33 \, a^{2} b c d^{2} + 36 \, a b^{2} c d^{2} + 11 \, a^{3} d^{3} - 36 \, a^{2} b d^{3} - 4 \, b^{3} d^{3}}{6 \, d^{4} {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"(b^3*c^4 - 3*a*b^2*c^3*d + b^3*c^3*d + 3*a^2*b*c^2*d^2 - 3*a*b^2*c^2*d^2 - a^3*c*d^3 + 3*a^2*b*c*d^3 - a^3*d^4)*log(abs(c*e^(2*x) + d*e^(2*x) - c + d))/(c*d^4 + d^5) - (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*log(abs(e^(2*x) - 1))/d^4 + 1/6*(11*b^3*c^3*e^(6*x) - 33*a*b^2*c^2*d*e^(6*x) + 33*a^2*b*c*d^2*e^(6*x) - 11*a^3*d^3*e^(6*x) - 33*b^3*c^3*e^(4*x) + 99*a*b^2*c^2*d*e^(4*x) - 12*b^3*c^2*d*e^(4*x) - 99*a^2*b*c*d^2*e^(4*x) + 36*a*b^2*c*d^2*e^(4*x) + 12*b^3*c*d^2*e^(4*x) + 33*a^3*d^3*e^(4*x) - 36*a^2*b*d^3*e^(4*x) - 36*a*b^2*d^3*e^(4*x) - 12*b^3*d^3*e^(4*x) + 33*b^3*c^3*e^(2*x) - 99*a*b^2*c^2*d*e^(2*x) + 24*b^3*c^2*d*e^(2*x) + 99*a^2*b*c*d^2*e^(2*x) - 72*a*b^2*c*d^2*e^(2*x) - 12*b^3*c*d^2*e^(2*x) - 33*a^3*d^3*e^(2*x) + 72*a^2*b*d^3*e^(2*x) + 36*a*b^2*d^3*e^(2*x) - 11*b^3*c^3 + 33*a*b^2*c^2*d - 12*b^3*c^2*d - 33*a^2*b*c*d^2 + 36*a*b^2*c*d^2 + 11*a^3*d^3 - 36*a^2*b*d^3 - 4*b^3*d^3)/(d^4*(e^(2*x) - 1)^3)","B",0
1026,1,224,0,0.142834," ","integrate(cosh(x)^3*(a+b*cosh(x)^2)^3*sinh(x),x, algorithm=""giac"")","\frac{1}{10240} \, b^{3} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{5} + \frac{3}{2048} \, a b^{2} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{4} + \frac{1}{1024} \, b^{3} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{4} + \frac{1}{128} \, a^{2} b {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{3} + \frac{3}{256} \, a b^{2} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{3} + \frac{1}{256} \, b^{3} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{3} + \frac{1}{64} \, a^{3} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{2} + \frac{3}{64} \, a^{2} b {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{2} + \frac{9}{256} \, a b^{2} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{2} + \frac{1}{128} \, b^{3} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{2} + \frac{1}{16} \, a^{3} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)} + \frac{3}{32} \, a^{2} b {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)} + \frac{3}{64} \, a b^{2} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)} + \frac{1}{128} \, b^{3} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}"," ",0,"1/10240*b^3*(e^(2*x) + e^(-2*x))^5 + 3/2048*a*b^2*(e^(2*x) + e^(-2*x))^4 + 1/1024*b^3*(e^(2*x) + e^(-2*x))^4 + 1/128*a^2*b*(e^(2*x) + e^(-2*x))^3 + 3/256*a*b^2*(e^(2*x) + e^(-2*x))^3 + 1/256*b^3*(e^(2*x) + e^(-2*x))^3 + 1/64*a^3*(e^(2*x) + e^(-2*x))^2 + 3/64*a^2*b*(e^(2*x) + e^(-2*x))^2 + 9/256*a*b^2*(e^(2*x) + e^(-2*x))^2 + 1/128*b^3*(e^(2*x) + e^(-2*x))^2 + 1/16*a^3*(e^(2*x) + e^(-2*x)) + 3/32*a^2*b*(e^(2*x) + e^(-2*x)) + 3/64*a*b^2*(e^(2*x) + e^(-2*x)) + 1/128*b^3*(e^(2*x) + e^(-2*x))","B",0
1027,1,224,0,0.132720," ","integrate(cosh(x)*sinh(x)^3*(a+b*sinh(x)^2)^3,x, algorithm=""giac"")","\frac{1}{10240} \, b^{3} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{5} + \frac{3}{2048} \, a b^{2} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{4} - \frac{1}{1024} \, b^{3} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{4} + \frac{1}{128} \, a^{2} b {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{3} - \frac{3}{256} \, a b^{2} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{3} + \frac{1}{256} \, b^{3} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{3} + \frac{1}{64} \, a^{3} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{2} - \frac{3}{64} \, a^{2} b {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{2} + \frac{9}{256} \, a b^{2} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{2} - \frac{1}{128} \, b^{3} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}^{2} - \frac{1}{16} \, a^{3} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)} + \frac{3}{32} \, a^{2} b {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)} - \frac{3}{64} \, a b^{2} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)} + \frac{1}{128} \, b^{3} {\left(e^{\left(2 \, x\right)} + e^{\left(-2 \, x\right)}\right)}"," ",0,"1/10240*b^3*(e^(2*x) + e^(-2*x))^5 + 3/2048*a*b^2*(e^(2*x) + e^(-2*x))^4 - 1/1024*b^3*(e^(2*x) + e^(-2*x))^4 + 1/128*a^2*b*(e^(2*x) + e^(-2*x))^3 - 3/256*a*b^2*(e^(2*x) + e^(-2*x))^3 + 1/256*b^3*(e^(2*x) + e^(-2*x))^3 + 1/64*a^3*(e^(2*x) + e^(-2*x))^2 - 3/64*a^2*b*(e^(2*x) + e^(-2*x))^2 + 9/256*a*b^2*(e^(2*x) + e^(-2*x))^2 - 1/128*b^3*(e^(2*x) + e^(-2*x))^2 - 1/16*a^3*(e^(2*x) + e^(-2*x)) + 3/32*a^2*b*(e^(2*x) + e^(-2*x)) - 3/64*a*b^2*(e^(2*x) + e^(-2*x)) + 1/128*b^3*(e^(2*x) + e^(-2*x))","B",0
1028,0,0,0,0.000000," ","integrate(cosh(x)*sinh(x)*(a+b*sinh(x)^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sinh\left(x\right)^{2} + a} \cosh\left(x\right) \sinh\left(x\right)\,{d x}"," ",0,"integrate(sqrt(b*sinh(x)^2 + a)*cosh(x)*sinh(x), x)","F",0
1029,0,0,0,0.000000," ","integrate(csch(x)*sech(x)*(1+log(coth(x))^2)^(1/2),x, algorithm=""giac"")","\int \sqrt{\log\left(\coth\left(x\right)\right)^{2} + 1} \operatorname{csch}\left(x\right) \operatorname{sech}\left(x\right)\,{d x}"," ",0,"integrate(sqrt(log(coth(x))^2 + 1)*csch(x)*sech(x), x)","F",0
1030,1,17,0,0.134758," ","integrate(coth(x^(1/2))*csch(x^(1/2))/x^(1/2),x, algorithm=""giac"")","\frac{4}{e^{\left(-\sqrt{x}\right)} - e^{\sqrt{x}}}"," ",0,"4/(e^(-sqrt(x)) - e^sqrt(x))","B",0
1031,1,17,0,0.115057," ","integrate(cosh(x^(1/2))*sinh(x^(1/2))/x^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, e^{\left(2 \, \sqrt{x}\right)} + \frac{1}{4} \, e^{\left(-2 \, \sqrt{x}\right)}"," ",0,"1/4*e^(2*sqrt(x)) + 1/4*e^(-2*sqrt(x))","B",0
1032,1,15,0,0.121024," ","integrate(sech(x^(1/2))*tanh(x^(1/2))/x^(1/2),x, algorithm=""giac"")","-\frac{4}{e^{\left(-\sqrt{x}\right)} + e^{\sqrt{x}}}"," ",0,"-4/(e^(-sqrt(x)) + e^sqrt(x))","B",0
1033,1,92,0,0.153689," ","integrate(sinh(x)^2/(a+b*sinh(2*x)),x, algorithm=""giac"")","-\frac{\log\left(\frac{{\left| 2 \, b e^{\left(2 \, x\right)} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{\left(2 \, x\right)} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{4 \, \sqrt{a^{2} + b^{2}}} - \frac{x}{2 \, b} + \frac{\log\left({\left| b e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} - b \right|}\right)}{4 \, b}"," ",0,"-1/4*log(abs(2*b*e^(2*x) + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^(2*x) + 2*a + 2*sqrt(a^2 + b^2)))/sqrt(a^2 + b^2) - 1/2*x/b + 1/4*log(abs(b*e^(4*x) + 2*a*e^(2*x) - b))/b","A",0
1034,1,92,0,0.142145," ","integrate(cosh(x)^2/(a+b*sinh(2*x)),x, algorithm=""giac"")","\frac{\log\left(\frac{{\left| 2 \, b e^{\left(2 \, x\right)} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{\left(2 \, x\right)} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{4 \, \sqrt{a^{2} + b^{2}}} - \frac{x}{2 \, b} + \frac{\log\left({\left| b e^{\left(4 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} - b \right|}\right)}{4 \, b}"," ",0,"1/4*log(abs(2*b*e^(2*x) + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^(2*x) + 2*a + 2*sqrt(a^2 + b^2)))/sqrt(a^2 + b^2) - 1/2*x/b + 1/4*log(abs(b*e^(4*x) + 2*a*e^(2*x) - b))/b","A",0
1035,1,47,0,0.140134," ","integrate(sinh(x)^2/(a+b*cosh(2*x)),x, algorithm=""giac"")","-\frac{{\left(a + b\right)} \arctan\left(\frac{b e^{\left(2 \, x\right)} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{2 \, \sqrt{-a^{2} + b^{2}} b} + \frac{x}{2 \, b}"," ",0,"-1/2*(a + b)*arctan((b*e^(2*x) + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*b) + 1/2*x/b","A",0
1036,1,49,0,0.137045," ","integrate(cosh(x)^2/(a+b*cosh(2*x)),x, algorithm=""giac"")","-\frac{{\left(a - b\right)} \arctan\left(\frac{b e^{\left(2 \, x\right)} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{2 \, \sqrt{-a^{2} + b^{2}} b} + \frac{x}{2 \, b}"," ",0,"-1/2*(a - b)*arctan((b*e^(2*x) + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*b) + 1/2*x/b","A",0
1037,-2,0,0,0.000000," ","integrate(tanh(d*x+c)/(a*sinh(d*x+c)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(exp(c)^3*t_nostep^3-exp(c)*t_nostep)]index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
1038,-2,0,0,0.000000," ","integrate(coth(d*x+c)/(a*cosh(d*x+c)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(exp(c)^3*t_nostep^3+exp(c)*t_nostep)]index.cc index_m operator + Error: Bad Argument Value","F(-2)",0
1039,0,0,0,0.000000," ","integrate(x*cosh(2*x)*sech(x),x, algorithm=""giac"")","\int x \cosh\left(2 \, x\right) \operatorname{sech}\left(x\right)\,{d x}"," ",0,"integrate(x*cosh(2*x)*sech(x), x)","F",0
1040,1,47,0,0.130822," ","integrate(x*cosh(2*x)*sech(x)^2,x, algorithm=""giac"")","\frac{x^{2} e^{\left(2 \, x\right)} + x^{2} - 2 \, x e^{\left(2 \, x\right)} + e^{\left(2 \, x\right)} \log\left(e^{\left(2 \, x\right)} + 1\right) + \log\left(e^{\left(2 \, x\right)} + 1\right)}{e^{\left(2 \, x\right)} + 1}"," ",0,"(x^2*e^(2*x) + x^2 - 2*x*e^(2*x) + e^(2*x)*log(e^(2*x) + 1) + log(e^(2*x) + 1))/(e^(2*x) + 1)","B",0
1041,0,0,0,0.000000," ","integrate(x*cosh(2*x)*sech(x)^3,x, algorithm=""giac"")","\int x \cosh\left(2 \, x\right) \operatorname{sech}\left(x\right)^{3}\,{d x}"," ",0,"integrate(x*cosh(2*x)*sech(x)^3, x)","F",0
1042,0,0,0,0.000000," ","integrate(csch(x)^(1/2)*(x*cosh(x)-4*sech(x)*tanh(x)),x, algorithm=""giac"")","\int {\left(x \cosh\left(x\right) - 4 \, \operatorname{sech}\left(x\right) \tanh\left(x\right)\right)} \sqrt{\operatorname{csch}\left(x\right)}\,{d x}"," ",0,"integrate((x*cosh(x) - 4*sech(x)*tanh(x))*sqrt(csch(x)), x)","F",0
1043,1,10,0,0.129040," ","integrate(sinh(x)*(cosh(x)+sinh(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
1044,1,27,0,0.131756," ","integrate((1+sinh(x)^2)/(1+cosh(x)+sinh(x)),x, algorithm=""giac"")","\frac{1}{8} \, {\left(2 \, e^{x} - 1\right)} e^{\left(-2 \, x\right)} + \frac{3}{4} \, x + \frac{1}{4} \, e^{x} - \log\left(e^{x} + 1\right)"," ",0,"1/8*(2*e^x - 1)*e^(-2*x) + 3/4*x + 1/4*e^x - log(e^x + 1)","A",0
1045,1,382,0,0.135205," ","integrate(x^5*cosh(b*x^3+a)^7*sinh(b*x^3+a),x, algorithm=""giac"")","\frac{24 \, {\left(b x^{3} + a\right)} e^{\left(8 \, b x^{3} + 8 \, a\right)} - 24 \, a e^{\left(8 \, b x^{3} + 8 \, a\right)} + 192 \, {\left(b x^{3} + a\right)} e^{\left(6 \, b x^{3} + 6 \, a\right)} - 192 \, a e^{\left(6 \, b x^{3} + 6 \, a\right)} + 672 \, {\left(b x^{3} + a\right)} e^{\left(4 \, b x^{3} + 4 \, a\right)} - 672 \, a e^{\left(4 \, b x^{3} + 4 \, a\right)} + 1344 \, {\left(b x^{3} + a\right)} e^{\left(2 \, b x^{3} + 2 \, a\right)} - 1344 \, a e^{\left(2 \, b x^{3} + 2 \, a\right)} + 1344 \, {\left(b x^{3} + a\right)} e^{\left(-2 \, b x^{3} - 2 \, a\right)} - 1344 \, a e^{\left(-2 \, b x^{3} - 2 \, a\right)} + 672 \, {\left(b x^{3} + a\right)} e^{\left(-4 \, b x^{3} - 4 \, a\right)} - 672 \, a e^{\left(-4 \, b x^{3} - 4 \, a\right)} + 192 \, {\left(b x^{3} + a\right)} e^{\left(-6 \, b x^{3} - 6 \, a\right)} - 192 \, a e^{\left(-6 \, b x^{3} - 6 \, a\right)} + 24 \, {\left(b x^{3} + a\right)} e^{\left(-8 \, b x^{3} - 8 \, a\right)} - 24 \, a e^{\left(-8 \, b x^{3} - 8 \, a\right)} - 3 \, e^{\left(8 \, b x^{3} + 8 \, a\right)} - 32 \, e^{\left(6 \, b x^{3} + 6 \, a\right)} - 168 \, e^{\left(4 \, b x^{3} + 4 \, a\right)} - 672 \, e^{\left(2 \, b x^{3} + 2 \, a\right)} + 672 \, e^{\left(-2 \, b x^{3} - 2 \, a\right)} + 168 \, e^{\left(-4 \, b x^{3} - 4 \, a\right)} + 32 \, e^{\left(-6 \, b x^{3} - 6 \, a\right)} + 3 \, e^{\left(-8 \, b x^{3} - 8 \, a\right)}}{147456 \, b^{2}}"," ",0,"1/147456*(24*(b*x^3 + a)*e^(8*b*x^3 + 8*a) - 24*a*e^(8*b*x^3 + 8*a) + 192*(b*x^3 + a)*e^(6*b*x^3 + 6*a) - 192*a*e^(6*b*x^3 + 6*a) + 672*(b*x^3 + a)*e^(4*b*x^3 + 4*a) - 672*a*e^(4*b*x^3 + 4*a) + 1344*(b*x^3 + a)*e^(2*b*x^3 + 2*a) - 1344*a*e^(2*b*x^3 + 2*a) + 1344*(b*x^3 + a)*e^(-2*b*x^3 - 2*a) - 1344*a*e^(-2*b*x^3 - 2*a) + 672*(b*x^3 + a)*e^(-4*b*x^3 - 4*a) - 672*a*e^(-4*b*x^3 - 4*a) + 192*(b*x^3 + a)*e^(-6*b*x^3 - 6*a) - 192*a*e^(-6*b*x^3 - 6*a) + 24*(b*x^3 + a)*e^(-8*b*x^3 - 8*a) - 24*a*e^(-8*b*x^3 - 8*a) - 3*e^(8*b*x^3 + 8*a) - 32*e^(6*b*x^3 + 6*a) - 168*e^(4*b*x^3 + 4*a) - 672*e^(2*b*x^3 + 2*a) + 672*e^(-2*b*x^3 - 2*a) + 168*e^(-4*b*x^3 - 4*a) + 32*e^(-6*b*x^3 - 6*a) + 3*e^(-8*b*x^3 - 8*a))/b^2","B",0
1046,1,27,0,0.111034," ","integrate(cosh(x)^2/(1+exp(x)),x, algorithm=""giac"")","\frac{1}{8} \, {\left(2 \, e^{x} - 1\right)} e^{\left(-2 \, x\right)} + \frac{3}{4} \, x + \frac{1}{4} \, e^{x} - \log\left(e^{x} + 1\right)"," ",0,"1/8*(2*e^x - 1)*e^(-2*x) + 3/4*x + 1/4*e^x - log(e^x + 1)","A",0
1047,1,46,0,0.152126," ","integrate(sech(x)*(1+sech(x))^(1/2)*tanh(x)^3,x, algorithm=""giac"")","-\frac{2 \, {\left({\left({\left({\left({\left({\left({\left(9 \, e^{x} + 35\right)} e^{x} + 49\right)} e^{x} + 35\right)} e^{x} + 35\right)} e^{x} + 49\right)} e^{x} + 35\right)} e^{x} + 9\right)}}{35 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{\frac{7}{2}}}"," ",0,"-2/35*(((((((9*e^x + 35)*e^x + 49)*e^x + 35)*e^x + 35)*e^x + 49)*e^x + 35)*e^x + 9)/(e^(2*x) + 1)^(7/2)","B",0
1048,0,0,0,0.000000," ","integrate(coth(x)^3*csch(x)*(1+csch(x))^(1/2),x, algorithm=""giac"")","\int \sqrt{\operatorname{csch}\left(x\right) + 1} \coth\left(x\right)^{3} \operatorname{csch}\left(x\right)\,{d x}"," ",0,"integrate(sqrt(csch(x) + 1)*coth(x)^3*csch(x), x)","F",0
1049,0,0,0,0.000000," ","integrate(cosh(x)^x*(log(cosh(x))+x*tanh(x)),x, algorithm=""giac"")","\int {\left(x \tanh\left(x\right) + \log\left(\cosh\left(x\right)\right)\right)} \cosh\left(x\right)^{x}\,{d x}"," ",0,"integrate((x*tanh(x) + log(cosh(x)))*cosh(x)^x, x)","F",0
1050,1,274,0,0.167669," ","integrate(F^(b*x+a)*(cosh(d*x+c)+sinh(d*x+c))^n,x, algorithm=""giac"")","2 \, {\left(\frac{2 \, {\left(d n + b \log\left({\left| F \right|}\right)\right)} \cos\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)}{{\left(\pi b \mathrm{sgn}\left(F\right) - \pi b\right)}^{2} + 4 \, {\left(d n + b \log\left({\left| F \right|}\right)\right)}^{2}} - \frac{{\left(\pi b \mathrm{sgn}\left(F\right) - \pi b\right)} \sin\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)}{{\left(\pi b \mathrm{sgn}\left(F\right) - \pi b\right)}^{2} + 4 \, {\left(d n + b \log\left({\left| F \right|}\right)\right)}^{2}}\right)} e^{\left(c n + {\left(d n + b \log\left({\left| F \right|}\right)\right)} x + a \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b x + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a\right)}}{i \, \pi b \mathrm{sgn}\left(F\right) - i \, \pi b + 2 \, d n + 2 \, b \log\left({\left| F \right|}\right)} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b x - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a\right)}}{-i \, \pi b \mathrm{sgn}\left(F\right) + i \, \pi b + 2 \, d n + 2 \, b \log\left({\left| F \right|}\right)}\right)} e^{\left(c n + {\left(d n + b \log\left({\left| F \right|}\right)\right)} x + a \log\left({\left| F \right|}\right)\right)}"," ",0,"2*(2*(d*n + b*log(abs(F)))*cos(-1/2*pi*b*x*sgn(F) + 1/2*pi*b*x - 1/2*pi*a*sgn(F) + 1/2*pi*a)/((pi*b*sgn(F) - pi*b)^2 + 4*(d*n + b*log(abs(F)))^2) - (pi*b*sgn(F) - pi*b)*sin(-1/2*pi*b*x*sgn(F) + 1/2*pi*b*x - 1/2*pi*a*sgn(F) + 1/2*pi*a)/((pi*b*sgn(F) - pi*b)^2 + 4*(d*n + b*log(abs(F)))^2))*e^(c*n + (d*n + b*log(abs(F)))*x + a*log(abs(F))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*x*sgn(F) - 1/2*I*pi*b*x + 1/2*I*pi*a*sgn(F) - 1/2*I*pi*a)/(I*pi*b*sgn(F) - I*pi*b + 2*d*n + 2*b*log(abs(F))) + 2*I*e^(-1/2*I*pi*b*x*sgn(F) + 1/2*I*pi*b*x - 1/2*I*pi*a*sgn(F) + 1/2*I*pi*a)/(-I*pi*b*sgn(F) + I*pi*b + 2*d*n + 2*b*log(abs(F))))*e^(c*n + (d*n + b*log(abs(F)))*x + a*log(abs(F)))","C",0
1051,1,282,0,0.171080," ","integrate(F^(b*x+a)*(cosh(d*x+c)-sinh(d*x+c))^n,x, algorithm=""giac"")","-2 \, {\left(\frac{2 \, {\left(d n - b \log\left({\left| F \right|}\right)\right)} \cos\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)}{{\left(\pi b \mathrm{sgn}\left(F\right) - \pi b\right)}^{2} + 4 \, {\left(d n - b \log\left({\left| F \right|}\right)\right)}^{2}} + \frac{{\left(\pi b \mathrm{sgn}\left(F\right) - \pi b\right)} \sin\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)}{{\left(\pi b \mathrm{sgn}\left(F\right) - \pi b\right)}^{2} + 4 \, {\left(d n - b \log\left({\left| F \right|}\right)\right)}^{2}}\right)} e^{\left(-c n - {\left(d n - b \log\left({\left| F \right|}\right)\right)} x + a \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b x + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a\right)}}{i \, \pi b \mathrm{sgn}\left(F\right) - i \, \pi b - 2 \, d n + 2 \, b \log\left({\left| F \right|}\right)} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b x - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a\right)}}{-i \, \pi b \mathrm{sgn}\left(F\right) + i \, \pi b - 2 \, d n + 2 \, b \log\left({\left| F \right|}\right)}\right)} e^{\left(-c n - {\left(d n - b \log\left({\left| F \right|}\right)\right)} x + a \log\left({\left| F \right|}\right)\right)}"," ",0,"-2*(2*(d*n - b*log(abs(F)))*cos(-1/2*pi*b*x*sgn(F) + 1/2*pi*b*x - 1/2*pi*a*sgn(F) + 1/2*pi*a)/((pi*b*sgn(F) - pi*b)^2 + 4*(d*n - b*log(abs(F)))^2) + (pi*b*sgn(F) - pi*b)*sin(-1/2*pi*b*x*sgn(F) + 1/2*pi*b*x - 1/2*pi*a*sgn(F) + 1/2*pi*a)/((pi*b*sgn(F) - pi*b)^2 + 4*(d*n - b*log(abs(F)))^2))*e^(-c*n - (d*n - b*log(abs(F)))*x + a*log(abs(F))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*x*sgn(F) - 1/2*I*pi*b*x + 1/2*I*pi*a*sgn(F) - 1/2*I*pi*a)/(I*pi*b*sgn(F) - I*pi*b - 2*d*n + 2*b*log(abs(F))) + 2*I*e^(-1/2*I*pi*b*x*sgn(F) + 1/2*I*pi*b*x - 1/2*I*pi*a*sgn(F) + 1/2*I*pi*a)/(-I*pi*b*sgn(F) + I*pi*b - 2*d*n + 2*b*log(abs(F))))*e^(-c*n - (d*n - b*log(abs(F)))*x + a*log(abs(F)))","C",0
1052,1,34,0,0.771490," ","integrate((cosh(b*x+a)^4-sinh(b*x+a)^4)/(cosh(b*x+a)^4+sinh(b*x+a)^4),x, algorithm=""giac"")","\frac{\sqrt{2} \arctan\left(\frac{1}{4} \, \sqrt{2} {\left(e^{\left(4 \, b x + 4 \, a\right)} - 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}\right)}{2 \, b}"," ",0,"1/2*sqrt(2)*arctan(1/4*sqrt(2)*(e^(4*b*x + 4*a) - 1)*e^(-2*b*x - 2*a))/b","A",0
1053,1,37,0,0.215645," ","integrate((cosh(b*x+a)^3-sinh(b*x+a)^3)/(cosh(b*x+a)^3+sinh(b*x+a)^3),x, algorithm=""giac"")","\frac{8 \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} e^{\left(2 \, b x + 2 \, a\right)}\right) - 3 \, e^{\left(-2 \, b x - 2 \, a\right)}}{18 \, b}"," ",0,"1/18*(8*sqrt(3)*arctan(1/3*sqrt(3)*e^(2*b*x + 2*a)) - 3*e^(-2*b*x - 2*a))/b","A",0
1054,1,44,0,0.161116," ","integrate((cosh(b*x+a)^2-sinh(b*x+a)^2)/(cosh(b*x+a)^2+sinh(b*x+a)^2),x, algorithm=""giac"")","-\frac{\arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{\left(b x + a\right)}\right)}\right) - \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{\left(b x + a\right)}\right)}\right)}{b}"," ",0,"-(arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^(b*x + a))) - arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^(b*x + a))))/b","B",0
1055,1,14,0,0.117798," ","integrate((cosh(b*x+a)-sinh(b*x+a))/(cosh(b*x+a)+sinh(b*x+a)),x, algorithm=""giac"")","-\frac{e^{\left(-2 \, b x - 2 \, a\right)}}{2 \, b}"," ",0,"-1/2*e^(-2*b*x - 2*a)/b","A",0
1056,1,14,0,0.153202," ","integrate((-csch(b*x+a)+sech(b*x+a))/(csch(b*x+a)+sech(b*x+a)),x, algorithm=""giac"")","\frac{e^{\left(-2 \, b x - 2 \, a\right)}}{2 \, b}"," ",0,"1/2*e^(-2*b*x - 2*a)/b","A",0
1057,1,43,0,0.168748," ","integrate((-csch(b*x+a)^2+sech(b*x+a)^2)/(csch(b*x+a)^2+sech(b*x+a)^2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{\left(b x + a\right)}\right)}\right) - \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{\left(b x + a\right)}\right)}\right)}{b}"," ",0,"(arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^(b*x + a))) - arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^(b*x + a))))/b","B",0
1058,1,37,0,0.216230," ","integrate((-csch(b*x+a)^3+sech(b*x+a)^3)/(csch(b*x+a)^3+sech(b*x+a)^3),x, algorithm=""giac"")","-\frac{8 \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} e^{\left(2 \, b x + 2 \, a\right)}\right) - 3 \, e^{\left(-2 \, b x - 2 \, a\right)}}{18 \, b}"," ",0,"-1/18*(8*sqrt(3)*arctan(1/3*sqrt(3)*e^(2*b*x + 2*a)) - 3*e^(-2*b*x - 2*a))/b","A",0
1059,1,34,0,0.354632," ","integrate((-csch(b*x+a)^4+sech(b*x+a)^4)/(csch(b*x+a)^4+sech(b*x+a)^4),x, algorithm=""giac"")","-\frac{\sqrt{2} \arctan\left(\frac{1}{4} \, \sqrt{2} {\left(e^{\left(4 \, b x + 4 \, a\right)} - 1\right)} e^{\left(-2 \, b x - 2 \, a\right)}\right)}{2 \, b}"," ",0,"-1/2*sqrt(2)*arctan(1/4*sqrt(2)*(e^(4*b*x + 4*a) - 1)*e^(-2*b*x - 2*a))/b","A",0
