1,1,10,0,1.162783," ","integrate(sinh(b*x+a),x, algorithm=""maxima"")","\frac{\cosh\left(b x + a\right)}{b}"," ",0,"cosh(b*x + a)/b","A",0
2,1,32,0,1.605839," ","integrate(sinh(b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, x + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{8 \, b} - \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{8 \, b}"," ",0,"-1/2*x + 1/8*e^(2*b*x + 2*a)/b - 1/8*e^(-2*b*x - 2*a)/b","A",0
3,1,54,0,1.715847," ","integrate(sinh(b*x+a)^3,x, algorithm=""maxima"")","\frac{e^{\left(3 \, b x + 3 \, a\right)}}{24 \, b} - \frac{3 \, e^{\left(b x + a\right)}}{8 \, b} - \frac{3 \, 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 - 3/8*e^(b*x + a)/b - 3/8*e^(-b*x - a)/b + 1/24*e^(-3*b*x - 3*a)/b","B",0
4,1,60,0,2.200625," ","integrate(sinh(b*x+a)^4,x, algorithm=""maxima"")","\frac{3}{8} \, x + \frac{e^{\left(4 \, b x + 4 \, a\right)}}{64 \, b} - \frac{e^{\left(2 \, b x + 2 \, a\right)}}{8 \, b} + \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{8 \, b} - \frac{e^{\left(-4 \, b x - 4 \, a\right)}}{64 \, b}"," ",0,"3/8*x + 1/64*e^(4*b*x + 4*a)/b - 1/8*e^(2*b*x + 2*a)/b + 1/8*e^(-2*b*x - 2*a)/b - 1/64*e^(-4*b*x - 4*a)/b","A",0
5,1,82,0,0.314347," ","integrate(sinh(b*x+a)^5,x, algorithm=""maxima"")","\frac{e^{\left(5 \, b x + 5 \, a\right)}}{160 \, b} - \frac{5 \, e^{\left(3 \, b x + 3 \, a\right)}}{96 \, b} + \frac{5 \, e^{\left(b x + a\right)}}{16 \, b} + \frac{5 \, e^{\left(-b x - a\right)}}{16 \, b} - \frac{5 \, 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 - 5/96*e^(3*b*x + 3*a)/b + 5/16*e^(b*x + a)/b + 5/16*e^(-b*x - a)/b - 5/96*e^(-3*b*x - 3*a)/b + 1/160*e^(-5*b*x - 5*a)/b","B",0
6,1,86,0,0.308655," ","integrate(sinh(b*x+a)^6,x, algorithm=""maxima"")","-\frac{{\left(9 \, e^{\left(-2 \, b x - 2 \, a\right)} - 45 \, e^{\left(-4 \, b x - 4 \, a\right)} - 1\right)} e^{\left(6 \, b x + 6 \, a\right)}}{384 \, b} - \frac{5 \, {\left(b x + a\right)}}{16 \, b} - \frac{45 \, e^{\left(-2 \, b x - 2 \, a\right)} - 9 \, e^{\left(-4 \, b x - 4 \, a\right)} + e^{\left(-6 \, b x - 6 \, a\right)}}{384 \, b}"," ",0,"-1/384*(9*e^(-2*b*x - 2*a) - 45*e^(-4*b*x - 4*a) - 1)*e^(6*b*x + 6*a)/b - 5/16*(b*x + a)/b - 1/384*(45*e^(-2*b*x - 2*a) - 9*e^(-4*b*x - 4*a) + e^(-6*b*x - 6*a))/b","A",0
7,0,0,0,0.000000," ","integrate(sinh(b*x+a)^(7/2),x, algorithm=""maxima"")","\int \sinh\left(b x + a\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate(sinh(b*x + a)^(7/2), x)","F",0
8,0,0,0,0.000000," ","integrate(sinh(b*x+a)^(5/2),x, algorithm=""maxima"")","\int \sinh\left(b x + a\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sinh(b*x + a)^(5/2), x)","F",0
9,0,0,0,0.000000," ","integrate(sinh(b*x+a)^(3/2),x, algorithm=""maxima"")","\int \sinh\left(b x + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sinh(b*x + a)^(3/2), x)","F",0
10,0,0,0,0.000000," ","integrate(sinh(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sinh\left(b x + a\right)}\,{d x}"," ",0,"integrate(sqrt(sinh(b*x + a)), x)","F",0
11,0,0,0,0.000000," ","integrate(1/sinh(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\sinh\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/sqrt(sinh(b*x + a)), x)","F",0
12,0,0,0,0.000000," ","integrate(1/sinh(b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\sinh\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sinh(b*x + a)^(-3/2), x)","F",0
13,0,0,0,0.000000," ","integrate(1/sinh(b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\sinh\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sinh(b*x + a)^(-5/2), x)","F",0
14,0,0,0,0.000000," ","integrate(1/sinh(b*x+a)^(7/2),x, algorithm=""maxima"")","\int \frac{1}{\sinh\left(b x + a\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sinh(b*x + a)^(-7/2), x)","F",0
15,0,0,0,0.000000," ","integrate((b*sinh(d*x+c))^(7/2),x, algorithm=""maxima"")","\int \left(b \sinh\left(d x + c\right)\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((b*sinh(d*x + c))^(7/2), x)","F",0
16,0,0,0,0.000000," ","integrate((b*sinh(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \left(b \sinh\left(d x + c\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*sinh(d*x + c))^(5/2), x)","F",0
17,0,0,0,0.000000," ","integrate((b*sinh(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \left(b \sinh\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sinh(d*x + c))^(3/2), x)","F",0
18,0,0,0,0.000000," ","integrate((b*sinh(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(d x + c\right)}\,{d x}"," ",0,"integrate(sqrt(b*sinh(d*x + c)), x)","F",0
19,0,0,0,0.000000," ","integrate(1/(b*sinh(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \sinh\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/sqrt(b*sinh(d*x + c)), x)","F",0
20,0,0,0,0.000000," ","integrate(1/(b*sinh(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(b \sinh\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sinh(d*x + c))^(-3/2), x)","F",0
21,0,0,0,0.000000," ","integrate(1/(b*sinh(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\left(b \sinh\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sinh(d*x + c))^(-5/2), x)","F",0
22,0,0,0,0.000000," ","integrate(1/(b*sinh(d*x+c))^(7/2),x, algorithm=""maxima"")","\int \frac{1}{\left(b \sinh\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*sinh(d*x + c))^(-7/2), x)","F",0
23,0,0,0,0.000000," ","integrate((I*sinh(d*x+c))^(7/2),x, algorithm=""maxima"")","\int \left(i \, \sinh\left(d x + c\right)\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((I*sinh(d*x + c))^(7/2), x)","F",0
24,0,0,0,0.000000," ","integrate((I*sinh(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \left(i \, \sinh\left(d x + c\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((I*sinh(d*x + c))^(5/2), x)","F",0
25,0,0,0,0.000000," ","integrate((I*sinh(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \left(i \, \sinh\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((I*sinh(d*x + c))^(3/2), x)","F",0
26,0,0,0,0.000000," ","integrate((I*sinh(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{i \, \sinh\left(d x + c\right)}\,{d x}"," ",0,"integrate(sqrt(I*sinh(d*x + c)), x)","F",0
27,0,0,0,0.000000," ","integrate(1/(I*sinh(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{i \, \sinh\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/sqrt(I*sinh(d*x + c)), x)","F",0
28,0,0,0,0.000000," ","integrate(1/(I*sinh(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(i \, \sinh\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((I*sinh(d*x + c))^(-3/2), x)","F",0
29,0,0,0,0.000000," ","integrate(1/(I*sinh(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\left(i \, \sinh\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((I*sinh(d*x + c))^(-5/2), x)","F",0
30,0,0,0,0.000000," ","integrate(1/(I*sinh(d*x+c))^(7/2),x, algorithm=""maxima"")","\int \frac{1}{\left(i \, \sinh\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((I*sinh(d*x + c))^(-7/2), x)","F",0
31,0,0,0,0.000000," ","integrate((b*sinh(d*x+c))^(4/3),x, algorithm=""maxima"")","\int \left(b \sinh\left(d x + c\right)\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*sinh(d*x + c))^(4/3), x)","F",0
32,0,0,0,0.000000," ","integrate((b*sinh(d*x+c))^(2/3),x, algorithm=""maxima"")","\int \left(b \sinh\left(d x + c\right)\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((b*sinh(d*x + c))^(2/3), x)","F",0
33,0,0,0,0.000000," ","integrate((b*sinh(d*x+c))^(1/3),x, algorithm=""maxima"")","\int \left(b \sinh\left(d x + c\right)\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*sinh(d*x + c))^(1/3), x)","F",0
34,0,0,0,0.000000," ","integrate(1/(b*sinh(d*x+c))^(1/3),x, algorithm=""maxima"")","\int \frac{1}{\left(b \sinh\left(d x + c\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*sinh(d*x + c))^(-1/3), x)","F",0
35,0,0,0,0.000000," ","integrate(1/(b*sinh(d*x+c))^(2/3),x, algorithm=""maxima"")","\int \frac{1}{\left(b \sinh\left(d x + c\right)\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*sinh(d*x + c))^(-2/3), x)","F",0
36,0,0,0,0.000000," ","integrate(1/(b*sinh(d*x+c))^(4/3),x, algorithm=""maxima"")","\int \frac{1}{\left(b \sinh\left(d x + c\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*sinh(d*x + c))^(-4/3), x)","F",0
37,0,0,0,0.000000," ","integrate((b*sinh(d*x+c))^n,x, algorithm=""maxima"")","\int \left(b \sinh\left(d x + c\right)\right)^{n}\,{d x}"," ",0,"integrate((b*sinh(d*x + c))^n, x)","F",0
38,0,0,0,0.000000," ","integrate((I*sinh(d*x+c))^n,x, algorithm=""maxima"")","\int \left(i \, \sinh\left(d x + c\right)\right)^{n}\,{d x}"," ",0,"integrate((I*sinh(d*x + c))^n, x)","F",0
39,0,0,0,0.000000," ","integrate((-I*sinh(d*x+c))^n,x, algorithm=""maxima"")","\int \left(-i \, \sinh\left(d x + c\right)\right)^{n}\,{d x}"," ",0,"integrate((-I*sinh(d*x + c))^n, x)","F",0
40,1,59,0,0.316226," ","integrate(sinh(x)^4/(I+sinh(x)),x, algorithm=""maxima"")","\frac{3}{2} i \, x - \frac{4 \, e^{\left(-x\right)} - 36 i \, e^{\left(-2 \, x\right)} + 138 \, e^{\left(-3 \, x\right)} + 2 i}{16 \, {\left(-3 i \, e^{\left(-3 \, x\right)} + 3 \, e^{\left(-4 \, x\right)}\right)}} - \frac{7}{8} \, e^{\left(-x\right)} + \frac{1}{8} i \, e^{\left(-2 \, x\right)} + \frac{1}{24} \, e^{\left(-3 \, x\right)}"," ",0,"3/2*I*x - 1/16*(4*e^(-x) - 36*I*e^(-2*x) + 138*e^(-3*x) + 2*I)/(-3*I*e^(-3*x) + 3*e^(-4*x)) - 7/8*e^(-x) + 1/8*I*e^(-2*x) + 1/24*e^(-3*x)","A",0
41,1,45,0,0.442827," ","integrate(sinh(x)^3/(I+sinh(x)),x, algorithm=""maxima"")","-\frac{3}{2} \, x - \frac{3 \, e^{\left(-x\right)} + 20 i \, e^{\left(-2 \, x\right)} + i}{8 \, {\left(-i \, e^{\left(-2 \, x\right)} + e^{\left(-3 \, x\right)}\right)}} - \frac{1}{2} i \, e^{\left(-x\right)} - \frac{1}{8} \, e^{\left(-2 \, x\right)}"," ",0,"-3/2*x - 1/8*(3*e^(-x) + 20*I*e^(-2*x) + I)/(-I*e^(-2*x) + e^(-3*x)) - 1/2*I*e^(-x) - 1/8*e^(-2*x)","A",0
42,1,33,0,0.531261," ","integrate(sinh(x)^2/(I+sinh(x)),x, algorithm=""maxima"")","-i \, x + \frac{10 \, e^{\left(-x\right)} - 2 i}{4 \, {\left(-i \, e^{\left(-x\right)} + e^{\left(-2 \, x\right)}\right)}} + \frac{1}{2} \, e^{\left(-x\right)}"," ",0,"-I*x + 1/4*(10*e^(-x) - 2*I)/(-I*e^(-x) + e^(-2*x)) + 1/2*e^(-x)","B",0
43,1,12,0,0.593166," ","integrate(sinh(x)/(I+sinh(x)),x, algorithm=""maxima"")","x + \frac{2 i}{e^{\left(-x\right)} - i}"," ",0,"x + 2*I/(e^(-x) - I)","A",0
44,1,29,0,0.359123," ","integrate(csch(x)/(I+sinh(x)),x, algorithm=""maxima"")","-\frac{2 i}{e^{\left(-x\right)} - i} + i \, \log\left(e^{\left(-x\right)} + 1\right) - i \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"-2*I/(e^(-x) - I) + I*log(e^(-x) + 1) - I*log(e^(-x) - 1)","A",0
45,1,53,0,0.361009," ","integrate(csch(x)^2/(I+sinh(x)),x, algorithm=""maxima"")","-\frac{4 \, {\left(-i \, e^{\left(-x\right)} + e^{\left(-2 \, x\right)} - 2\right)}}{2 \, e^{\left(-x\right)} + 2 i \, e^{\left(-2 \, x\right)} - 2 \, e^{\left(-3 \, x\right)} - 2 i} - \log\left(e^{\left(-x\right)} + 1\right) + \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"-4*(-I*e^(-x) + e^(-2*x) - 2)/(2*e^(-x) + 2*I*e^(-2*x) - 2*e^(-3*x) - 2*I) - log(e^(-x) + 1) + log(e^(-x) - 1)","B",0
46,1,79,0,0.322660," ","integrate(csch(x)^3/(I+sinh(x)),x, algorithm=""maxima"")","-\frac{8 \, {\left(e^{\left(-x\right)} + 5 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} - 3 i \, e^{\left(-4 \, x\right)} - 4 i\right)}}{8 \, e^{\left(-x\right)} + 16 i \, e^{\left(-2 \, x\right)} - 16 \, e^{\left(-3 \, x\right)} - 8 i \, e^{\left(-4 \, x\right)} + 8 \, e^{\left(-5 \, x\right)} - 8 i} - \frac{3}{2} i \, \log\left(e^{\left(-x\right)} + 1\right) + \frac{3}{2} i \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"-8*(e^(-x) + 5*I*e^(-2*x) - 3*e^(-3*x) - 3*I*e^(-4*x) - 4*I)/(8*e^(-x) + 16*I*e^(-2*x) - 16*e^(-3*x) - 8*I*e^(-4*x) + 8*e^(-5*x) - 8*I) - 3/2*I*log(e^(-x) + 1) + 3/2*I*log(e^(-x) - 1)","B",0
47,1,105,0,0.345723," ","integrate(csch(x)^4/(I+sinh(x)),x, algorithm=""maxima"")","\frac{16 \, {\left(-7 i \, e^{\left(-x\right)} + 39 \, e^{\left(-2 \, x\right)} + 24 i \, e^{\left(-3 \, x\right)} - 24 \, e^{\left(-4 \, x\right)} - 9 i \, e^{\left(-5 \, x\right)} + 9 \, e^{\left(-6 \, x\right)} - 16\right)}}{48 \, e^{\left(-x\right)} + 144 i \, e^{\left(-2 \, x\right)} - 144 \, e^{\left(-3 \, x\right)} - 144 i \, e^{\left(-4 \, x\right)} + 144 \, e^{\left(-5 \, x\right)} + 48 i \, e^{\left(-6 \, x\right)} - 48 \, e^{\left(-7 \, x\right)} - 48 i} + \frac{3}{2} \, \log\left(e^{\left(-x\right)} + 1\right) - \frac{3}{2} \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"16*(-7*I*e^(-x) + 39*e^(-2*x) + 24*I*e^(-3*x) - 24*e^(-4*x) - 9*I*e^(-5*x) + 9*e^(-6*x) - 16)/(48*e^(-x) + 144*I*e^(-2*x) - 144*e^(-3*x) - 144*I*e^(-4*x) + 144*e^(-5*x) + 48*I*e^(-6*x) - 48*e^(-7*x) - 48*I) + 3/2*log(e^(-x) + 1) - 3/2*log(e^(-x) - 1)","B",0
48,1,71,0,0.316570," ","integrate(sinh(x)^4/(I+sinh(x))^2,x, algorithm=""maxima"")","-\frac{7}{2} \, x + \frac{30 \, e^{\left(-x\right)} + 478 i \, e^{\left(-2 \, x\right)} - 810 \, e^{\left(-3 \, x\right)} - 432 i \, e^{\left(-4 \, x\right)} + 6 i}{16 \, {\left(3 i \, e^{\left(-2 \, x\right)} - 9 \, e^{\left(-3 \, x\right)} - 9 i \, e^{\left(-4 \, x\right)} + 3 \, e^{\left(-5 \, x\right)}\right)}} - i \, e^{\left(-x\right)} - \frac{1}{8} \, e^{\left(-2 \, x\right)}"," ",0,"-7/2*x + 1/16*(30*e^(-x) + 478*I*e^(-2*x) - 810*e^(-3*x) - 432*I*e^(-4*x) + 6*I)/(3*I*e^(-2*x) - 9*e^(-3*x) - 9*I*e^(-4*x) + 3*e^(-5*x)) - I*e^(-x) - 1/8*e^(-2*x)","A",0
49,1,59,0,0.473840," ","integrate(sinh(x)^3/(I+sinh(x))^2,x, algorithm=""maxima"")","-2 i \, x - \frac{164 \, e^{\left(-x\right)} + 276 i \, e^{\left(-2 \, x\right)} - 156 \, e^{\left(-3 \, x\right)} - 12 i}{8 \, {\left(3 i \, e^{\left(-x\right)} - 9 \, e^{\left(-2 \, x\right)} - 9 i \, e^{\left(-3 \, x\right)} + 3 \, e^{\left(-4 \, x\right)}\right)}} + \frac{1}{2} \, e^{\left(-x\right)}"," ",0,"-2*I*x - 1/8*(164*e^(-x) + 276*I*e^(-2*x) - 156*e^(-3*x) - 12*I)/(3*I*e^(-x) - 9*e^(-2*x) - 9*I*e^(-3*x) + 3*e^(-4*x)) + 1/2*e^(-x)","A",0
50,1,40,0,0.319751," ","integrate(sinh(x)^2/(I+sinh(x))^2,x, algorithm=""maxima"")","x - \frac{72 \, e^{\left(-x\right)} + 48 i \, e^{\left(-2 \, x\right)} - 40 i}{4 \, {\left(9 \, e^{\left(-x\right)} + 9 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} - 3 i\right)}}"," ",0,"x - 1/4*(72*e^(-x) + 48*I*e^(-2*x) - 40*I)/(9*e^(-x) + 9*I*e^(-2*x) - 3*e^(-3*x) - 3*I)","A",0
51,1,81,0,0.312405," ","integrate(sinh(x)/(I+sinh(x))^2,x, algorithm=""maxima"")","-\frac{6 i \, e^{\left(-x\right)}}{9 \, e^{\left(-x\right)} + 9 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} - 3 i} + \frac{6 \, e^{\left(-2 \, x\right)}}{9 \, e^{\left(-x\right)} + 9 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} - 3 i} - \frac{4}{9 \, e^{\left(-x\right)} + 9 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} - 3 i}"," ",0,"-6*I*e^(-x)/(9*e^(-x) + 9*I*e^(-2*x) - 3*e^(-3*x) - 3*I) + 6*e^(-2*x)/(9*e^(-x) + 9*I*e^(-2*x) - 3*e^(-3*x) - 3*I) - 4/(9*e^(-x) + 9*I*e^(-2*x) - 3*e^(-3*x) - 3*I)","B",0
52,1,55,0,0.396115," ","integrate(csch(x)/(I+sinh(x))^2,x, algorithm=""maxima"")","\frac{2 \, {\left(-9 i \, e^{\left(-x\right)} + 3 \, e^{\left(-2 \, x\right)} - 4\right)}}{9 \, e^{\left(-x\right)} + 9 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} - 3 i} + \log\left(e^{\left(-x\right)} + 1\right) - \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"2*(-9*I*e^(-x) + 3*e^(-2*x) - 4)/(9*e^(-x) + 9*I*e^(-2*x) - 3*e^(-3*x) - 3*I) + log(e^(-x) + 1) - log(e^(-x) - 1)","B",0
53,1,81,0,0.321246," ","integrate(csch(x)^2/(I+sinh(x))^2,x, algorithm=""maxima"")","\frac{4 \, {\left(12 \, e^{\left(-x\right)} + 11 i \, e^{\left(-2 \, x\right)} - 9 \, e^{\left(-3 \, x\right)} - 3 i \, e^{\left(-4 \, x\right)} - 5 i\right)}}{9 \, e^{\left(-x\right)} + 12 i \, e^{\left(-2 \, x\right)} - 12 \, e^{\left(-3 \, x\right)} - 9 i \, e^{\left(-4 \, x\right)} + 3 \, e^{\left(-5 \, x\right)} - 3 i} + 2 i \, \log\left(e^{\left(-x\right)} + 1\right) - 2 i \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"4*(12*e^(-x) + 11*I*e^(-2*x) - 9*e^(-3*x) - 3*I*e^(-4*x) - 5*I)/(9*e^(-x) + 12*I*e^(-2*x) - 12*e^(-3*x) - 9*I*e^(-4*x) + 3*e^(-5*x) - 3*I) + 2*I*log(e^(-x) + 1) - 2*I*log(e^(-x) - 1)","B",0
54,1,105,0,0.328409," ","integrate(csch(x)^3/(I+sinh(x))^2,x, algorithm=""maxima"")","-\frac{8 \, {\left(-75 i \, e^{\left(-x\right)} + 97 \, e^{\left(-2 \, x\right)} + 126 i \, e^{\left(-3 \, x\right)} - 98 \, e^{\left(-4 \, x\right)} - 63 i \, e^{\left(-5 \, x\right)} + 21 \, e^{\left(-6 \, x\right)} - 32\right)}}{72 \, e^{\left(-x\right)} + 120 i \, e^{\left(-2 \, x\right)} - 168 \, e^{\left(-3 \, x\right)} - 168 i \, e^{\left(-4 \, x\right)} + 120 \, e^{\left(-5 \, x\right)} + 72 i \, e^{\left(-6 \, x\right)} - 24 \, e^{\left(-7 \, x\right)} - 24 i} - \frac{7}{2} \, \log\left(e^{\left(-x\right)} + 1\right) + \frac{7}{2} \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"-8*(-75*I*e^(-x) + 97*e^(-2*x) + 126*I*e^(-3*x) - 98*e^(-4*x) - 63*I*e^(-5*x) + 21*e^(-6*x) - 32)/(72*e^(-x) + 120*I*e^(-2*x) - 168*e^(-3*x) - 168*I*e^(-4*x) + 120*e^(-5*x) + 72*I*e^(-6*x) - 24*e^(-7*x) - 24*I) - 7/2*log(e^(-x) + 1) + 7/2*log(e^(-x) - 1)","B",0
55,1,129,0,0.507335," ","integrate(csch(x)^4/(I+sinh(x))^2,x, algorithm=""maxima"")","-\frac{16 \, {\left(57 \, e^{\left(-x\right)} + 99 i \, e^{\left(-2 \, x\right)} - 155 \, e^{\left(-3 \, x\right)} - 153 i \, e^{\left(-4 \, x\right)} + 135 \, e^{\left(-5 \, x\right)} + 85 i \, e^{\left(-6 \, x\right)} - 45 \, e^{\left(-7 \, x\right)} - 15 i \, e^{\left(-8 \, x\right)} - 24 i\right)}}{72 \, e^{\left(-x\right)} + 144 i \, e^{\left(-2 \, x\right)} - 240 \, e^{\left(-3 \, x\right)} - 288 i \, e^{\left(-4 \, x\right)} + 288 \, e^{\left(-5 \, x\right)} + 240 i \, e^{\left(-6 \, x\right)} - 144 \, e^{\left(-7 \, x\right)} - 72 i \, e^{\left(-8 \, x\right)} + 24 \, e^{\left(-9 \, x\right)} - 24 i} - 5 i \, \log\left(e^{\left(-x\right)} + 1\right) + 5 i \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"-16*(57*e^(-x) + 99*I*e^(-2*x) - 155*e^(-3*x) - 153*I*e^(-4*x) + 135*e^(-5*x) + 85*I*e^(-6*x) - 45*e^(-7*x) - 15*I*e^(-8*x) - 24*I)/(72*e^(-x) + 144*I*e^(-2*x) - 240*e^(-3*x) - 288*I*e^(-4*x) + 288*e^(-5*x) + 240*I*e^(-6*x) - 144*e^(-7*x) - 72*I*e^(-8*x) + 24*e^(-9*x) - 24*I) - 5*I*log(e^(-x) + 1) + 5*I*log(e^(-x) - 1)","B",0
56,1,20,0,0.476193," ","integrate(1/(1+I*sinh(d*x+c)),x, algorithm=""maxima"")","-\frac{2}{d {\left(i \, e^{\left(-d x - c\right)} - 1\right)}}"," ",0,"-2/(d*(I*e^(-d*x - c) - 1))","A",0
57,1,94,0,0.347126," ","integrate(1/(1+I*sinh(d*x+c))^2,x, algorithm=""maxima"")","\frac{6 \, e^{\left(-d x - c\right)}}{d {\left(9 \, e^{\left(-d x - c\right)} - 9 i \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-3 \, d x - 3 \, c\right)} + 3 i\right)}} + \frac{2 i}{d {\left(9 \, e^{\left(-d x - c\right)} - 9 i \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-3 \, d x - 3 \, c\right)} + 3 i\right)}}"," ",0,"6*e^(-d*x - c)/(d*(9*e^(-d*x - c) - 9*I*e^(-2*d*x - 2*c) - 3*e^(-3*d*x - 3*c) + 3*I)) + 2*I/(d*(9*e^(-d*x - c) - 9*I*e^(-2*d*x - 2*c) - 3*e^(-3*d*x - 3*c) + 3*I))","A",0
58,1,211,0,0.448177," ","integrate(1/(1+I*sinh(d*x+c))^3,x, algorithm=""maxima"")","\frac{20 i \, e^{\left(-d x - c\right)}}{d {\left(75 i \, e^{\left(-d x - c\right)} + 150 \, e^{\left(-2 \, d x - 2 \, c\right)} - 150 i \, e^{\left(-3 \, d x - 3 \, c\right)} - 75 \, e^{\left(-4 \, d x - 4 \, c\right)} + 15 i \, e^{\left(-5 \, d x - 5 \, c\right)} - 15\right)}} + \frac{40 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(75 i \, e^{\left(-d x - c\right)} + 150 \, e^{\left(-2 \, d x - 2 \, c\right)} - 150 i \, e^{\left(-3 \, d x - 3 \, c\right)} - 75 \, e^{\left(-4 \, d x - 4 \, c\right)} + 15 i \, e^{\left(-5 \, d x - 5 \, c\right)} - 15\right)}} - \frac{4}{d {\left(75 i \, e^{\left(-d x - c\right)} + 150 \, e^{\left(-2 \, d x - 2 \, c\right)} - 150 i \, e^{\left(-3 \, d x - 3 \, c\right)} - 75 \, e^{\left(-4 \, d x - 4 \, c\right)} + 15 i \, e^{\left(-5 \, d x - 5 \, c\right)} - 15\right)}}"," ",0,"20*I*e^(-d*x - c)/(d*(75*I*e^(-d*x - c) + 150*e^(-2*d*x - 2*c) - 150*I*e^(-3*d*x - 3*c) - 75*e^(-4*d*x - 4*c) + 15*I*e^(-5*d*x - 5*c) - 15)) + 40*e^(-2*d*x - 2*c)/(d*(75*I*e^(-d*x - c) + 150*e^(-2*d*x - 2*c) - 150*I*e^(-3*d*x - 3*c) - 75*e^(-4*d*x - 4*c) + 15*I*e^(-5*d*x - 5*c) - 15)) - 4/(d*(75*I*e^(-d*x - c) + 150*e^(-2*d*x - 2*c) - 150*I*e^(-3*d*x - 3*c) - 75*e^(-4*d*x - 4*c) + 15*I*e^(-5*d*x - 5*c) - 15))","B",0
59,1,372,0,0.347090," ","integrate(1/(1+I*sinh(d*x+c))^4,x, algorithm=""maxima"")","\frac{28 \, e^{\left(-d x - c\right)}}{d {\left(245 \, e^{\left(-d x - c\right)} - 735 i \, e^{\left(-2 \, d x - 2 \, c\right)} - 1225 \, e^{\left(-3 \, d x - 3 \, c\right)} + 1225 i \, e^{\left(-4 \, d x - 4 \, c\right)} + 735 \, e^{\left(-5 \, d x - 5 \, c\right)} - 245 i \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-7 \, d x - 7 \, c\right)} + 35 i\right)}} - \frac{84 i \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(245 \, e^{\left(-d x - c\right)} - 735 i \, e^{\left(-2 \, d x - 2 \, c\right)} - 1225 \, e^{\left(-3 \, d x - 3 \, c\right)} + 1225 i \, e^{\left(-4 \, d x - 4 \, c\right)} + 735 \, e^{\left(-5 \, d x - 5 \, c\right)} - 245 i \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-7 \, d x - 7 \, c\right)} + 35 i\right)}} - \frac{140 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d {\left(245 \, e^{\left(-d x - c\right)} - 735 i \, e^{\left(-2 \, d x - 2 \, c\right)} - 1225 \, e^{\left(-3 \, d x - 3 \, c\right)} + 1225 i \, e^{\left(-4 \, d x - 4 \, c\right)} + 735 \, e^{\left(-5 \, d x - 5 \, c\right)} - 245 i \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-7 \, d x - 7 \, c\right)} + 35 i\right)}} + \frac{4 i}{d {\left(245 \, e^{\left(-d x - c\right)} - 735 i \, e^{\left(-2 \, d x - 2 \, c\right)} - 1225 \, e^{\left(-3 \, d x - 3 \, c\right)} + 1225 i \, e^{\left(-4 \, d x - 4 \, c\right)} + 735 \, e^{\left(-5 \, d x - 5 \, c\right)} - 245 i \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-7 \, d x - 7 \, c\right)} + 35 i\right)}}"," ",0,"28*e^(-d*x - c)/(d*(245*e^(-d*x - c) - 735*I*e^(-2*d*x - 2*c) - 1225*e^(-3*d*x - 3*c) + 1225*I*e^(-4*d*x - 4*c) + 735*e^(-5*d*x - 5*c) - 245*I*e^(-6*d*x - 6*c) - 35*e^(-7*d*x - 7*c) + 35*I)) - 84*I*e^(-2*d*x - 2*c)/(d*(245*e^(-d*x - c) - 735*I*e^(-2*d*x - 2*c) - 1225*e^(-3*d*x - 3*c) + 1225*I*e^(-4*d*x - 4*c) + 735*e^(-5*d*x - 5*c) - 245*I*e^(-6*d*x - 6*c) - 35*e^(-7*d*x - 7*c) + 35*I)) - 140*e^(-3*d*x - 3*c)/(d*(245*e^(-d*x - c) - 735*I*e^(-2*d*x - 2*c) - 1225*e^(-3*d*x - 3*c) + 1225*I*e^(-4*d*x - 4*c) + 735*e^(-5*d*x - 5*c) - 245*I*e^(-6*d*x - 6*c) - 35*e^(-7*d*x - 7*c) + 35*I)) + 4*I/(d*(245*e^(-d*x - c) - 735*I*e^(-2*d*x - 2*c) - 1225*e^(-3*d*x - 3*c) + 1225*I*e^(-4*d*x - 4*c) + 735*e^(-5*d*x - 5*c) - 245*I*e^(-6*d*x - 6*c) - 35*e^(-7*d*x - 7*c) + 35*I))","B",0
60,1,20,0,0.384250," ","integrate(1/(1-I*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{2}{d {\left(i \, e^{\left(-d x - c\right)} + 1\right)}}"," ",0,"2/(d*(I*e^(-d*x - c) + 1))","A",0
61,1,94,0,0.318644," ","integrate(1/(1-I*sinh(d*x+c))^2,x, algorithm=""maxima"")","\frac{6 \, e^{\left(-d x - c\right)}}{d {\left(9 \, e^{\left(-d x - c\right)} + 9 i \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-3 \, d x - 3 \, c\right)} - 3 i\right)}} - \frac{2 i}{d {\left(9 \, e^{\left(-d x - c\right)} + 9 i \, e^{\left(-2 \, d x - 2 \, c\right)} - 3 \, e^{\left(-3 \, d x - 3 \, c\right)} - 3 i\right)}}"," ",0,"6*e^(-d*x - c)/(d*(9*e^(-d*x - c) + 9*I*e^(-2*d*x - 2*c) - 3*e^(-3*d*x - 3*c) - 3*I)) - 2*I/(d*(9*e^(-d*x - c) + 9*I*e^(-2*d*x - 2*c) - 3*e^(-3*d*x - 3*c) - 3*I))","A",0
62,1,211,0,0.323962," ","integrate(1/(1-I*sinh(d*x+c))^3,x, algorithm=""maxima"")","\frac{20 i \, e^{\left(-d x - c\right)}}{d {\left(75 i \, e^{\left(-d x - c\right)} - 150 \, e^{\left(-2 \, d x - 2 \, c\right)} - 150 i \, e^{\left(-3 \, d x - 3 \, c\right)} + 75 \, e^{\left(-4 \, d x - 4 \, c\right)} + 15 i \, e^{\left(-5 \, d x - 5 \, c\right)} + 15\right)}} - \frac{40 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(75 i \, e^{\left(-d x - c\right)} - 150 \, e^{\left(-2 \, d x - 2 \, c\right)} - 150 i \, e^{\left(-3 \, d x - 3 \, c\right)} + 75 \, e^{\left(-4 \, d x - 4 \, c\right)} + 15 i \, e^{\left(-5 \, d x - 5 \, c\right)} + 15\right)}} + \frac{4}{d {\left(75 i \, e^{\left(-d x - c\right)} - 150 \, e^{\left(-2 \, d x - 2 \, c\right)} - 150 i \, e^{\left(-3 \, d x - 3 \, c\right)} + 75 \, e^{\left(-4 \, d x - 4 \, c\right)} + 15 i \, e^{\left(-5 \, d x - 5 \, c\right)} + 15\right)}}"," ",0,"20*I*e^(-d*x - c)/(d*(75*I*e^(-d*x - c) - 150*e^(-2*d*x - 2*c) - 150*I*e^(-3*d*x - 3*c) + 75*e^(-4*d*x - 4*c) + 15*I*e^(-5*d*x - 5*c) + 15)) - 40*e^(-2*d*x - 2*c)/(d*(75*I*e^(-d*x - c) - 150*e^(-2*d*x - 2*c) - 150*I*e^(-3*d*x - 3*c) + 75*e^(-4*d*x - 4*c) + 15*I*e^(-5*d*x - 5*c) + 15)) + 4/(d*(75*I*e^(-d*x - c) - 150*e^(-2*d*x - 2*c) - 150*I*e^(-3*d*x - 3*c) + 75*e^(-4*d*x - 4*c) + 15*I*e^(-5*d*x - 5*c) + 15))","B",0
63,1,372,0,0.325865," ","integrate(1/(1-I*sinh(d*x+c))^4,x, algorithm=""maxima"")","\frac{28 \, e^{\left(-d x - c\right)}}{d {\left(245 \, e^{\left(-d x - c\right)} + 735 i \, e^{\left(-2 \, d x - 2 \, c\right)} - 1225 \, e^{\left(-3 \, d x - 3 \, c\right)} - 1225 i \, e^{\left(-4 \, d x - 4 \, c\right)} + 735 \, e^{\left(-5 \, d x - 5 \, c\right)} + 245 i \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-7 \, d x - 7 \, c\right)} - 35 i\right)}} + \frac{84 i \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(245 \, e^{\left(-d x - c\right)} + 735 i \, e^{\left(-2 \, d x - 2 \, c\right)} - 1225 \, e^{\left(-3 \, d x - 3 \, c\right)} - 1225 i \, e^{\left(-4 \, d x - 4 \, c\right)} + 735 \, e^{\left(-5 \, d x - 5 \, c\right)} + 245 i \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-7 \, d x - 7 \, c\right)} - 35 i\right)}} - \frac{140 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d {\left(245 \, e^{\left(-d x - c\right)} + 735 i \, e^{\left(-2 \, d x - 2 \, c\right)} - 1225 \, e^{\left(-3 \, d x - 3 \, c\right)} - 1225 i \, e^{\left(-4 \, d x - 4 \, c\right)} + 735 \, e^{\left(-5 \, d x - 5 \, c\right)} + 245 i \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-7 \, d x - 7 \, c\right)} - 35 i\right)}} - \frac{4 i}{d {\left(245 \, e^{\left(-d x - c\right)} + 735 i \, e^{\left(-2 \, d x - 2 \, c\right)} - 1225 \, e^{\left(-3 \, d x - 3 \, c\right)} - 1225 i \, e^{\left(-4 \, d x - 4 \, c\right)} + 735 \, e^{\left(-5 \, d x - 5 \, c\right)} + 245 i \, e^{\left(-6 \, d x - 6 \, c\right)} - 35 \, e^{\left(-7 \, d x - 7 \, c\right)} - 35 i\right)}}"," ",0,"28*e^(-d*x - c)/(d*(245*e^(-d*x - c) + 735*I*e^(-2*d*x - 2*c) - 1225*e^(-3*d*x - 3*c) - 1225*I*e^(-4*d*x - 4*c) + 735*e^(-5*d*x - 5*c) + 245*I*e^(-6*d*x - 6*c) - 35*e^(-7*d*x - 7*c) - 35*I)) + 84*I*e^(-2*d*x - 2*c)/(d*(245*e^(-d*x - c) + 735*I*e^(-2*d*x - 2*c) - 1225*e^(-3*d*x - 3*c) - 1225*I*e^(-4*d*x - 4*c) + 735*e^(-5*d*x - 5*c) + 245*I*e^(-6*d*x - 6*c) - 35*e^(-7*d*x - 7*c) - 35*I)) - 140*e^(-3*d*x - 3*c)/(d*(245*e^(-d*x - c) + 735*I*e^(-2*d*x - 2*c) - 1225*e^(-3*d*x - 3*c) - 1225*I*e^(-4*d*x - 4*c) + 735*e^(-5*d*x - 5*c) + 245*I*e^(-6*d*x - 6*c) - 35*e^(-7*d*x - 7*c) - 35*I)) - 4*I/(d*(245*e^(-d*x - c) + 735*I*e^(-2*d*x - 2*c) - 1225*e^(-3*d*x - 3*c) - 1225*I*e^(-4*d*x - 4*c) + 735*e^(-5*d*x - 5*c) + 245*I*e^(-6*d*x - 6*c) - 35*e^(-7*d*x - 7*c) - 35*I))","B",0
64,0,0,0,0.000000," ","integrate(sinh(x)/(a+I*a*sinh(x))^(1/2),x, algorithm=""maxima"")","\int \frac{\sinh\left(x\right)}{\sqrt{i \, a \sinh\left(x\right) + a}}\,{d x}"," ",0,"integrate(sinh(x)/sqrt(I*a*sinh(x) + a), x)","F",0
65,0,0,0,0.000000," ","integrate(sinh(x)/(a-I*a*sinh(x))^(1/2),x, algorithm=""maxima"")","\int \frac{\sinh\left(x\right)}{\sqrt{-i \, a \sinh\left(x\right) + a}}\,{d x}"," ",0,"integrate(sinh(x)/sqrt(-I*a*sinh(x) + a), x)","F",0
66,0,0,0,0.000000," ","integrate((a+I*a*sinh(d*x+c))^(5/2),x, algorithm=""maxima"")","\int {\left(i \, a \sinh\left(d x + c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((I*a*sinh(d*x + c) + a)^(5/2), x)","F",0
67,0,0,0,0.000000," ","integrate((a+I*a*sinh(d*x+c))^(3/2),x, algorithm=""maxima"")","\int {\left(i \, a \sinh\left(d x + c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((I*a*sinh(d*x + c) + a)^(3/2), x)","F",0
68,0,0,0,0.000000," ","integrate((a+I*a*sinh(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{i \, a \sinh\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(sqrt(I*a*sinh(d*x + c) + a), x)","F",0
69,0,0,0,0.000000," ","integrate(1/(a+I*a*sinh(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{i \, a \sinh\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(I*a*sinh(d*x + c) + a), x)","F",0
70,0,0,0,0.000000," ","integrate(1/(a+I*a*sinh(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a \sinh\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((I*a*sinh(d*x + c) + a)^(-3/2), x)","F",0
71,0,0,0,0.000000," ","integrate(1/(a+I*a*sinh(d*x+c))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(i \, a \sinh\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((I*a*sinh(d*x + c) + a)^(-5/2), x)","F",0
72,1,158,0,0.432266," ","integrate(sinh(x)^4/(a+b*sinh(x)),x, algorithm=""maxima"")","\frac{a^{4} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b^{4}} - \frac{{\left(3 \, a b e^{\left(-x\right)} - b^{2} - 3 \, {\left(4 \, a^{2} - 3 \, b^{2}\right)} e^{\left(-2 \, x\right)}\right)} e^{\left(3 \, x\right)}}{24 \, b^{3}} + \frac{3 \, a b e^{\left(-2 \, x\right)} + b^{2} e^{\left(-3 \, x\right)} + 3 \, {\left(4 \, a^{2} - 3 \, b^{2}\right)} e^{\left(-x\right)}}{24 \, b^{3}} - \frac{{\left(2 \, a^{3} - a b^{2}\right)} x}{2 \, b^{4}}"," ",0,"a^4*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^4) - 1/24*(3*a*b*e^(-x) - b^2 - 3*(4*a^2 - 3*b^2)*e^(-2*x))*e^(3*x)/b^3 + 1/24*(3*a*b*e^(-2*x) + b^2*e^(-3*x) + 3*(4*a^2 - 3*b^2)*e^(-x))/b^3 - 1/2*(2*a^3 - a*b^2)*x/b^4","A",0
73,1,118,0,0.423797," ","integrate(sinh(x)^3/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{a^{3} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b^{3}} - \frac{{\left(4 \, a e^{\left(-x\right)} - b\right)} e^{\left(2 \, x\right)}}{8 \, b^{2}} - \frac{4 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)}}{8 \, b^{2}} + \frac{{\left(2 \, a^{2} - b^{2}\right)} x}{2 \, b^{3}}"," ",0,"-a^3*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^3) - 1/8*(4*a*e^(-x) - b)*e^(2*x)/b^2 - 1/8*(4*a*e^(-x) + b*e^(-2*x))/b^2 + 1/2*(2*a^2 - b^2)*x/b^3","A",0
74,1,84,0,0.498192," ","integrate(sinh(x)^2/(a+b*sinh(x)),x, algorithm=""maxima"")","\frac{a^{2} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b^{2}} - \frac{a x}{b^{2}} + \frac{e^{\left(-x\right)}}{2 \, b} + \frac{e^{x}}{2 \, b}"," ",0,"a^2*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^2) - a*x/b^2 + 1/2*e^(-x)/b + 1/2*e^x/b","A",0
75,1,65,0,0.416726," ","integrate(sinh(x)/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{a \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b} + \frac{x}{b}"," ",0,"-a*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b) + x/b","A",0
76,1,83,0,0.425277," ","integrate(csch(x)/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{b \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a} - \frac{\log\left(e^{\left(-x\right)} + 1\right)}{a} + \frac{\log\left(e^{\left(-x\right)} - 1\right)}{a}"," ",0,"-b*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a) - log(e^(-x) + 1)/a + log(e^(-x) - 1)/a","A",0
77,1,100,0,0.419290," ","integrate(csch(x)^2/(a+b*sinh(x)),x, algorithm=""maxima"")","\frac{b^{2} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{2}} + \frac{b \log\left(e^{\left(-x\right)} + 1\right)}{a^{2}} - \frac{b \log\left(e^{\left(-x\right)} - 1\right)}{a^{2}} + \frac{2}{a e^{\left(-2 \, x\right)} - a}"," ",0,"b^2*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^2) + b*log(e^(-x) + 1)/a^2 - b*log(e^(-x) - 1)/a^2 + 2/(a*e^(-2*x) - a)","A",0
78,1,154,0,0.407957," ","integrate(csch(x)^3/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{b^{3} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{3}} + \frac{a e^{\left(-x\right)} + 2 \, b e^{\left(-2 \, x\right)} + a e^{\left(-3 \, x\right)} - 2 \, b}{2 \, a^{2} e^{\left(-2 \, x\right)} - a^{2} e^{\left(-4 \, x\right)} - a^{2}} + \frac{{\left(a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-x\right)} + 1\right)}{2 \, a^{3}} - \frac{{\left(a^{2} - 2 \, b^{2}\right)} \log\left(e^{\left(-x\right)} - 1\right)}{2 \, a^{3}}"," ",0,"-b^3*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3) + (a*e^(-x) + 2*b*e^(-2*x) + a*e^(-3*x) - 2*b)/(2*a^2*e^(-2*x) - a^2*e^(-4*x) - a^2) + 1/2*(a^2 - 2*b^2)*log(e^(-x) + 1)/a^3 - 1/2*(a^2 - 2*b^2)*log(e^(-x) - 1)/a^3","B",0
79,1,194,0,0.428610," ","integrate(csch(x)^4/(a+b*sinh(x)),x, algorithm=""maxima"")","\frac{b^{4} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{4}} - \frac{3 \, a b e^{\left(-x\right)} - 6 \, b^{2} e^{\left(-4 \, x\right)} - 3 \, a b e^{\left(-5 \, x\right)} + 4 \, a^{2} - 6 \, b^{2} - 12 \, {\left(a^{2} - b^{2}\right)} e^{\left(-2 \, x\right)}}{3 \, {\left(3 \, a^{3} e^{\left(-2 \, x\right)} - 3 \, a^{3} e^{\left(-4 \, x\right)} + a^{3} e^{\left(-6 \, x\right)} - a^{3}\right)}} - \frac{{\left(a^{2} b - 2 \, b^{3}\right)} \log\left(e^{\left(-x\right)} + 1\right)}{2 \, a^{4}} + \frac{{\left(a^{2} b - 2 \, b^{3}\right)} \log\left(e^{\left(-x\right)} - 1\right)}{2 \, a^{4}}"," ",0,"b^4*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^4) - 1/3*(3*a*b*e^(-x) - 6*b^2*e^(-4*x) - 3*a*b*e^(-5*x) + 4*a^2 - 6*b^2 - 12*(a^2 - b^2)*e^(-2*x))/(3*a^3*e^(-2*x) - 3*a^3*e^(-4*x) + a^3*e^(-6*x) - a^3) - 1/2*(a^2*b - 2*b^3)*log(e^(-x) + 1)/a^4 + 1/2*(a^2*b - 2*b^3)*log(e^(-x) - 1)/a^4","A",0
80,1,256,0,0.418463," ","integrate(sinh(x)^4/(a+b*sinh(x))^2,x, algorithm=""maxima"")","-\frac{{\left(3 \, a^{2} + 4 \, b^{2}\right)} a^{3} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b^{4} + b^{6}\right)} \sqrt{a^{2} + b^{2}}} + \frac{a^{2} b^{3} + b^{5} - 6 \, {\left(a^{3} b^{2} + a b^{4}\right)} e^{\left(-x\right)} - {\left(32 \, a^{4} b + 17 \, a^{2} b^{3} + b^{5}\right)} e^{\left(-2 \, x\right)} - 8 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4}\right)} e^{\left(-3 \, x\right)}}{8 \, {\left({\left(a^{2} b^{5} + b^{7}\right)} e^{\left(-2 \, x\right)} + 2 \, {\left(a^{3} b^{4} + a b^{6}\right)} e^{\left(-3 \, x\right)} - {\left(a^{2} b^{5} + b^{7}\right)} e^{\left(-4 \, x\right)}\right)}} - \frac{8 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)}}{8 \, b^{3}} + \frac{{\left(6 \, a^{2} - b^{2}\right)} x}{2 \, b^{4}}"," ",0,"-(3*a^2 + 4*b^2)*a^3*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^2*b^4 + b^6)*sqrt(a^2 + b^2)) + 1/8*(a^2*b^3 + b^5 - 6*(a^3*b^2 + a*b^4)*e^(-x) - (32*a^4*b + 17*a^2*b^3 + b^5)*e^(-2*x) - 8*(2*a^5 - a^3*b^2 - a*b^4)*e^(-3*x))/((a^2*b^5 + b^7)*e^(-2*x) + 2*(a^3*b^4 + a*b^6)*e^(-3*x) - (a^2*b^5 + b^7)*e^(-4*x)) - 1/8*(8*a*e^(-x) + b*e^(-2*x))/b^3 + 1/2*(6*a^2 - b^2)*x/b^4","A",0
81,1,208,0,0.440726," ","integrate(sinh(x)^3/(a+b*sinh(x))^2,x, algorithm=""maxima"")","\frac{{\left(2 \, a^{2} + 3 \, b^{2}\right)} a^{2} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b^{3} + b^{5}\right)} \sqrt{a^{2} + b^{2}}} + \frac{a^{2} b^{2} + b^{4} + 2 \, {\left(3 \, a^{3} b + a b^{3}\right)} e^{\left(-x\right)} + {\left(4 \, a^{4} - a^{2} b^{2} - b^{4}\right)} e^{\left(-2 \, x\right)}}{2 \, {\left({\left(a^{2} b^{4} + b^{6}\right)} e^{\left(-x\right)} + 2 \, {\left(a^{3} b^{3} + a b^{5}\right)} e^{\left(-2 \, x\right)} - {\left(a^{2} b^{4} + b^{6}\right)} e^{\left(-3 \, x\right)}\right)}} - \frac{2 \, a x}{b^{3}} + \frac{e^{\left(-x\right)}}{2 \, b^{2}}"," ",0,"(2*a^2 + 3*b^2)*a^2*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^2*b^3 + b^5)*sqrt(a^2 + b^2)) + 1/2*(a^2*b^2 + b^4 + 2*(3*a^3*b + a*b^3)*e^(-x) + (4*a^4 - a^2*b^2 - b^4)*e^(-2*x))/((a^2*b^4 + b^6)*e^(-x) + 2*(a^3*b^3 + a*b^5)*e^(-2*x) - (a^2*b^4 + b^6)*e^(-3*x)) - 2*a*x/b^3 + 1/2*e^(-x)/b^2","A",0
82,1,149,0,0.409491," ","integrate(sinh(x)^2/(a+b*sinh(x))^2,x, algorithm=""maxima"")","-\frac{{\left(a^{2} + 2 \, b^{2}\right)} a \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}}} - \frac{2 \, {\left(a^{3} e^{\left(-x\right)} + a^{2} b\right)}}{a^{2} b^{3} + b^{5} + 2 \, {\left(a^{3} b^{2} + a b^{4}\right)} e^{\left(-x\right)} - {\left(a^{2} b^{3} + b^{5}\right)} e^{\left(-2 \, x\right)}} + \frac{x}{b^{2}}"," ",0,"-(a^2 + 2*b^2)*a*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^2*b^2 + b^4)*sqrt(a^2 + b^2)) - 2*(a^3*e^(-x) + a^2*b)/(a^2*b^3 + b^5 + 2*(a^3*b^2 + a*b^4)*e^(-x) - (a^2*b^3 + b^5)*e^(-2*x)) + x/b^2","A",0
83,1,117,0,0.417414," ","integrate(sinh(x)/(a+b*sinh(x))^2,x, algorithm=""maxima"")","\frac{b \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, {\left(a^{2} e^{\left(-x\right)} + a b\right)}}{a^{2} b^{2} + b^{4} + 2 \, {\left(a^{3} b + a b^{3}\right)} e^{\left(-x\right)} - {\left(a^{2} b^{2} + b^{4}\right)} e^{\left(-2 \, x\right)}}"," ",0,"b*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(a^2 + b^2)^(3/2) + 2*(a^2*e^(-x) + a*b)/(a^2*b^2 + b^4 + 2*(a^3*b + a*b^3)*e^(-x) - (a^2*b^2 + b^4)*e^(-2*x))","B",0
84,1,162,0,0.433482," ","integrate(csch(x)/(a+b*sinh(x))^2,x, algorithm=""maxima"")","-\frac{{\left(2 \, a^{2} b + b^{3}\right)} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{4} + a^{2} b^{2}\right)} \sqrt{a^{2} + b^{2}}} + \frac{2 \, {\left(a b e^{\left(-x\right)} + b^{2}\right)}}{a^{3} b + a b^{3} + 2 \, {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(-x\right)} - {\left(a^{3} b + a b^{3}\right)} e^{\left(-2 \, x\right)}} - \frac{\log\left(e^{\left(-x\right)} + 1\right)}{a^{2}} + \frac{\log\left(e^{\left(-x\right)} - 1\right)}{a^{2}}"," ",0,"-(2*a^2*b + b^3)*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^4 + a^2*b^2)*sqrt(a^2 + b^2)) + 2*(a*b*e^(-x) + b^2)/(a^3*b + a*b^3 + 2*(a^4 + a^2*b^2)*e^(-x) - (a^3*b + a*b^3)*e^(-2*x)) - log(e^(-x) + 1)/a^2 + log(e^(-x) - 1)/a^2","A",0
85,1,251,0,0.408417," ","integrate(csch(x)^2/(a+b*sinh(x))^2,x, algorithm=""maxima"")","\frac{{\left(3 \, a^{2} b^{2} + 2 \, b^{4}\right)} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{5} + a^{3} b^{2}\right)} \sqrt{a^{2} + b^{2}}} + \frac{2 \, {\left(a b^{2} e^{\left(-3 \, x\right)} - a^{2} b - 2 \, b^{3} - {\left(2 \, a^{3} + 3 \, a b^{2}\right)} e^{\left(-x\right)} + {\left(a^{2} b + 2 \, b^{3}\right)} e^{\left(-2 \, x\right)}\right)}}{a^{4} b + a^{2} b^{3} + 2 \, {\left(a^{5} + a^{3} b^{2}\right)} e^{\left(-x\right)} - 2 \, {\left(a^{4} b + a^{2} b^{3}\right)} e^{\left(-2 \, x\right)} - 2 \, {\left(a^{5} + a^{3} b^{2}\right)} e^{\left(-3 \, x\right)} + {\left(a^{4} b + a^{2} b^{3}\right)} e^{\left(-4 \, x\right)}} + \frac{2 \, b \log\left(e^{\left(-x\right)} + 1\right)}{a^{3}} - \frac{2 \, b \log\left(e^{\left(-x\right)} - 1\right)}{a^{3}}"," ",0,"(3*a^2*b^2 + 2*b^4)*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^5 + a^3*b^2)*sqrt(a^2 + b^2)) + 2*(a*b^2*e^(-3*x) - a^2*b - 2*b^3 - (2*a^3 + 3*a*b^2)*e^(-x) + (a^2*b + 2*b^3)*e^(-2*x))/(a^4*b + a^2*b^3 + 2*(a^5 + a^3*b^2)*e^(-x) - 2*(a^4*b + a^2*b^3)*e^(-2*x) - 2*(a^5 + a^3*b^2)*e^(-3*x) + (a^4*b + a^2*b^3)*e^(-4*x)) + 2*b*log(e^(-x) + 1)/a^3 - 2*b*log(e^(-x) - 1)/a^3","B",0
86,1,363,0,0.427251," ","integrate(csch(x)^3/(a+b*sinh(x))^2,x, algorithm=""maxima"")","-\frac{{\left(4 \, a^{2} b^{3} + 3 \, b^{5}\right)} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{6} + a^{4} b^{2}\right)} \sqrt{a^{2} + b^{2}}} + \frac{4 \, a^{2} b^{2} + 6 \, b^{4} + {\left(7 \, a^{3} b + 9 \, a b^{3}\right)} e^{\left(-x\right)} - 2 \, {\left(a^{4} + 5 \, a^{2} b^{2} + 6 \, b^{4}\right)} e^{\left(-2 \, x\right)} - 4 \, {\left(2 \, a^{3} b + 3 \, a b^{3}\right)} e^{\left(-3 \, x\right)} - 2 \, {\left(a^{4} - a^{2} b^{2} - 3 \, b^{4}\right)} e^{\left(-4 \, x\right)} + {\left(a^{3} b + 3 \, a b^{3}\right)} e^{\left(-5 \, x\right)}}{a^{5} b + a^{3} b^{3} + 2 \, {\left(a^{6} + a^{4} b^{2}\right)} e^{\left(-x\right)} - 3 \, {\left(a^{5} b + a^{3} b^{3}\right)} e^{\left(-2 \, x\right)} - 4 \, {\left(a^{6} + a^{4} b^{2}\right)} e^{\left(-3 \, x\right)} + 3 \, {\left(a^{5} b + a^{3} b^{3}\right)} e^{\left(-4 \, x\right)} + 2 \, {\left(a^{6} + a^{4} b^{2}\right)} e^{\left(-5 \, x\right)} - {\left(a^{5} b + a^{3} b^{3}\right)} e^{\left(-6 \, x\right)}} + \frac{{\left(a^{2} - 6 \, b^{2}\right)} \log\left(e^{\left(-x\right)} + 1\right)}{2 \, a^{4}} - \frac{{\left(a^{2} - 6 \, b^{2}\right)} \log\left(e^{\left(-x\right)} - 1\right)}{2 \, a^{4}}"," ",0,"-(4*a^2*b^3 + 3*b^5)*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^6 + a^4*b^2)*sqrt(a^2 + b^2)) + (4*a^2*b^2 + 6*b^4 + (7*a^3*b + 9*a*b^3)*e^(-x) - 2*(a^4 + 5*a^2*b^2 + 6*b^4)*e^(-2*x) - 4*(2*a^3*b + 3*a*b^3)*e^(-3*x) - 2*(a^4 - a^2*b^2 - 3*b^4)*e^(-4*x) + (a^3*b + 3*a*b^3)*e^(-5*x))/(a^5*b + a^3*b^3 + 2*(a^6 + a^4*b^2)*e^(-x) - 3*(a^5*b + a^3*b^3)*e^(-2*x) - 4*(a^6 + a^4*b^2)*e^(-3*x) + 3*(a^5*b + a^3*b^3)*e^(-4*x) + 2*(a^6 + a^4*b^2)*e^(-5*x) - (a^5*b + a^3*b^3)*e^(-6*x)) + 1/2*(a^2 - 6*b^2)*log(e^(-x) + 1)/a^4 - 1/2*(a^2 - 6*b^2)*log(e^(-x) - 1)/a^4","B",0
87,1,477,0,0.425983," ","integrate(csch(x)^4/(a+b*sinh(x))^2,x, algorithm=""maxima"")","\frac{{\left(5 \, a^{2} b^{4} + 4 \, b^{6}\right)} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{7} + a^{5} b^{2}\right)} \sqrt{a^{2} + b^{2}}} + \frac{2 \, {\left(2 \, a^{4} b - 7 \, a^{2} b^{3} - 12 \, b^{5} + {\left(4 \, a^{5} - 11 \, a^{3} b^{2} - 18 \, a b^{4}\right)} e^{\left(-x\right)} - {\left(2 \, a^{4} b - 25 \, a^{2} b^{3} - 36 \, b^{5}\right)} e^{\left(-2 \, x\right)} - 3 \, {\left(4 \, a^{5} - 7 \, a^{3} b^{2} - 14 \, a b^{4}\right)} e^{\left(-3 \, x\right)} + 3 \, {\left(2 \, a^{4} b - 7 \, a^{2} b^{3} - 12 \, b^{5}\right)} e^{\left(-4 \, x\right)} - 3 \, {\left(7 \, a^{3} b^{2} + 10 \, a b^{4}\right)} e^{\left(-5 \, x\right)} - 3 \, {\left(2 \, a^{4} b - a^{2} b^{3} - 4 \, b^{5}\right)} e^{\left(-6 \, x\right)} + 3 \, {\left(a^{3} b^{2} + 2 \, a b^{4}\right)} e^{\left(-7 \, x\right)}\right)}}{3 \, {\left(a^{6} b + a^{4} b^{3} + 2 \, {\left(a^{7} + a^{5} b^{2}\right)} e^{\left(-x\right)} - 4 \, {\left(a^{6} b + a^{4} b^{3}\right)} e^{\left(-2 \, x\right)} - 6 \, {\left(a^{7} + a^{5} b^{2}\right)} e^{\left(-3 \, x\right)} + 6 \, {\left(a^{6} b + a^{4} b^{3}\right)} e^{\left(-4 \, x\right)} + 6 \, {\left(a^{7} + a^{5} b^{2}\right)} e^{\left(-5 \, x\right)} - 4 \, {\left(a^{6} b + a^{4} b^{3}\right)} e^{\left(-6 \, x\right)} - 2 \, {\left(a^{7} + a^{5} b^{2}\right)} e^{\left(-7 \, x\right)} + {\left(a^{6} b + a^{4} b^{3}\right)} e^{\left(-8 \, x\right)}\right)}} - \frac{{\left(a^{2} b - 4 \, b^{3}\right)} \log\left(e^{\left(-x\right)} + 1\right)}{a^{5}} + \frac{{\left(a^{2} b - 4 \, b^{3}\right)} \log\left(e^{\left(-x\right)} - 1\right)}{a^{5}}"," ",0,"(5*a^2*b^4 + 4*b^6)*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^7 + a^5*b^2)*sqrt(a^2 + b^2)) + 2/3*(2*a^4*b - 7*a^2*b^3 - 12*b^5 + (4*a^5 - 11*a^3*b^2 - 18*a*b^4)*e^(-x) - (2*a^4*b - 25*a^2*b^3 - 36*b^5)*e^(-2*x) - 3*(4*a^5 - 7*a^3*b^2 - 14*a*b^4)*e^(-3*x) + 3*(2*a^4*b - 7*a^2*b^3 - 12*b^5)*e^(-4*x) - 3*(7*a^3*b^2 + 10*a*b^4)*e^(-5*x) - 3*(2*a^4*b - a^2*b^3 - 4*b^5)*e^(-6*x) + 3*(a^3*b^2 + 2*a*b^4)*e^(-7*x))/(a^6*b + a^4*b^3 + 2*(a^7 + a^5*b^2)*e^(-x) - 4*(a^6*b + a^4*b^3)*e^(-2*x) - 6*(a^7 + a^5*b^2)*e^(-3*x) + 6*(a^6*b + a^4*b^3)*e^(-4*x) + 6*(a^7 + a^5*b^2)*e^(-5*x) - 4*(a^6*b + a^4*b^3)*e^(-6*x) - 2*(a^7 + a^5*b^2)*e^(-7*x) + (a^6*b + a^4*b^3)*e^(-8*x)) - (a^2*b - 4*b^3)*log(e^(-x) + 1)/a^5 + (a^2*b - 4*b^3)*log(e^(-x) - 1)/a^5","B",0
88,1,19,0,0.415936," ","integrate(1/(3+5*I*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{5}{4} i \, e^{\left(-d x - c\right)} - \frac{3}{4}\right)}{2 \, d}"," ",0,"1/2*arctan(5/4*I*e^(-d*x - c) - 3/4)/d","A",0
89,1,79,0,0.431505," ","integrate(1/(3+5*I*sinh(d*x+c))^2,x, algorithm=""maxima"")","\frac{3 i \, \log\left(\frac{10 \, e^{\left(-d x - c\right)} + 6 i - 8}{10 \, e^{\left(-d x - c\right)} + 6 i + 8}\right)}{64 \, d} + \frac{3 i \, e^{\left(-d x - c\right)} - 5}{-8 \, d {\left(-6 i \, e^{\left(-d x - c\right)} - 5 \, e^{\left(-2 \, d x - 2 \, c\right)} + 5\right)}}"," ",0,"3/64*I*log((10*e^(-d*x - c) + 6*I - 8)/(10*e^(-d*x - c) + 6*I + 8))/d + (3*I*e^(-d*x - c) - 5)/(d*(48*I*e^(-d*x - c) + 40*e^(-2*d*x - 2*c) - 40))","A",0
90,1,124,0,0.418662," ","integrate(1/(3+5*I*sinh(d*x+c))^3,x, algorithm=""maxima"")","-\frac{43 i \, \log\left(\frac{10 \, e^{\left(-d x - c\right)} + 6 i - 8}{10 \, e^{\left(-d x - c\right)} + 6 i + 8}\right)}{2048 \, d} - \frac{-325 i \, e^{\left(-d x - c\right)} - 387 \, e^{\left(-2 \, d x - 2 \, c\right)} + 215 i \, e^{\left(-3 \, d x - 3 \, c\right)} + 225}{d {\left(-15360 i \, e^{\left(-d x - c\right)} - 22016 \, e^{\left(-2 \, d x - 2 \, c\right)} + 15360 i \, e^{\left(-3 \, d x - 3 \, c\right)} + 6400 \, e^{\left(-4 \, d x - 4 \, c\right)} + 6400\right)}}"," ",0,"-43/2048*I*log((10*e^(-d*x - c) + 6*I - 8)/(10*e^(-d*x - c) + 6*I + 8))/d - (-325*I*e^(-d*x - c) - 387*e^(-2*d*x - 2*c) + 215*I*e^(-3*d*x - 3*c) + 225)/(d*(-15360*I*e^(-d*x - c) - 22016*e^(-2*d*x - 2*c) + 15360*I*e^(-3*d*x - 3*c) + 6400*e^(-4*d*x - 4*c) + 6400))","A",0
91,1,167,0,0.427326," ","integrate(1/(3+5*I*sinh(d*x+c))^4,x, algorithm=""maxima"")","\frac{279 i \, \log\left(\frac{10 \, e^{\left(-d x - c\right)} + 6 i - 8}{10 \, e^{\left(-d x - c\right)} + 6 i + 8}\right)}{32768 \, d} + \frac{68625 i \, e^{\left(-d x - c\right)} + 119310 \, e^{\left(-2 \, d x - 2 \, c\right)} - 111042 i \, e^{\left(-3 \, d x - 3 \, c\right)} - 62775 \, e^{\left(-4 \, d x - 4 \, c\right)} + 20925 i \, e^{\left(-5 \, d x - 5 \, c\right)} - 24875}{d {\left(5529600 i \, e^{\left(-d x - c\right)} + 11243520 \, e^{\left(-2 \, d x - 2 \, c\right)} - 13713408 i \, e^{\left(-3 \, d x - 3 \, c\right)} - 11243520 \, e^{\left(-4 \, d x - 4 \, c\right)} + 5529600 i \, e^{\left(-5 \, d x - 5 \, c\right)} + 1536000 \, e^{\left(-6 \, d x - 6 \, c\right)} - 1536000\right)}}"," ",0,"279/32768*I*log((10*e^(-d*x - c) + 6*I - 8)/(10*e^(-d*x - c) + 6*I + 8))/d + (68625*I*e^(-d*x - c) + 119310*e^(-2*d*x - 2*c) - 111042*I*e^(-3*d*x - 3*c) - 62775*e^(-4*d*x - 4*c) + 20925*I*e^(-5*d*x - 5*c) - 24875)/(d*(5529600*I*e^(-d*x - c) + 11243520*e^(-2*d*x - 2*c) - 13713408*I*e^(-3*d*x - 3*c) - 11243520*e^(-4*d*x - 4*c) + 5529600*I*e^(-5*d*x - 5*c) + 1536000*e^(-6*d*x - 6*c) - 1536000))","A",0
92,1,36,0,0.412647," ","integrate(1/(5+3*I*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{\log\left(-\frac{6 \, {\left(-i \, e^{\left(-d x - c\right)} + 3\right)}}{6 i \, e^{\left(-d x - c\right)} - 2}\right)}{4 \, d}"," ",0,"1/4*log(-6*(-I*e^(-d*x - c) + 3)/(6*I*e^(-d*x - c) - 2))/d","A",0
93,1,64,0,0.447191," ","integrate(1/(5+3*I*sinh(d*x+c))^2,x, algorithm=""maxima"")","-\frac{5 i \, \arctan\left(\frac{3}{4} \, e^{\left(-d x - c\right)} + \frac{5}{4} i\right)}{32 \, d} - \frac{5 i \, e^{\left(-d x - c\right)} - 3}{-8 \, d {\left(-10 i \, e^{\left(-d x - c\right)} - 3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3\right)}}"," ",0,"-5/32*I*arctan(3/4*e^(-d*x - c) + 5/4*I)/d - (5*I*e^(-d*x - c) - 3)/(d*(80*I*e^(-d*x - c) + 24*e^(-2*d*x - 2*c) - 24))","A",0
94,1,108,0,0.406060," ","integrate(1/(5+3*I*sinh(d*x+c))^3,x, algorithm=""maxima"")","-\frac{59 i \, \arctan\left(\frac{3}{4} \, e^{\left(-d x - c\right)} + \frac{5}{4} i\right)}{1024 \, d} - \frac{-723 i \, e^{\left(-d x - c\right)} - 885 \, e^{\left(-2 \, d x - 2 \, c\right)} + 177 i \, e^{\left(-3 \, d x - 3 \, c\right)} + 135}{d {\left(-15360 i \, e^{\left(-d x - c\right)} - 30208 \, e^{\left(-2 \, d x - 2 \, c\right)} + 15360 i \, e^{\left(-3 \, d x - 3 \, c\right)} + 2304 \, e^{\left(-4 \, d x - 4 \, c\right)} + 2304\right)}}"," ",0,"-59/1024*I*arctan(3/4*e^(-d*x - c) + 5/4*I)/d - (-723*I*e^(-d*x - c) - 885*e^(-2*d*x - 2*c) + 177*I*e^(-3*d*x - 3*c) + 135)/(d*(-15360*I*e^(-d*x - c) - 30208*e^(-2*d*x - 2*c) + 15360*I*e^(-3*d*x - 3*c) + 2304*e^(-4*d*x - 4*c) + 2304))","A",0
95,1,152,0,0.422463," ","integrate(1/(5+3*I*sinh(d*x+c))^4,x, algorithm=""maxima"")","-\frac{385 i \, \arctan\left(\frac{3}{4} \, e^{\left(-d x - c\right)} + \frac{5}{4} i\right)}{16384 \, d} - \frac{73575 i \, e^{\left(-d x - c\right)} + 218466 \, e^{\left(-2 \, d x - 2 \, c\right)} - 239470 i \, e^{\left(-3 \, d x - 3 \, c\right)} - 86625 \, e^{\left(-4 \, d x - 4 \, c\right)} + 10395 i \, e^{\left(-5 \, d x - 5 \, c\right)} - 8397}{d {\left(3317760 i \, e^{\left(-d x - c\right)} + 12054528 \, e^{\left(-2 \, d x - 2 \, c\right)} - 18923520 i \, e^{\left(-3 \, d x - 3 \, c\right)} - 12054528 \, e^{\left(-4 \, d x - 4 \, c\right)} + 3317760 i \, e^{\left(-5 \, d x - 5 \, c\right)} + 331776 \, e^{\left(-6 \, d x - 6 \, c\right)} - 331776\right)}}"," ",0,"-385/16384*I*arctan(3/4*e^(-d*x - c) + 5/4*I)/d - (73575*I*e^(-d*x - c) + 218466*e^(-2*d*x - 2*c) - 239470*I*e^(-3*d*x - 3*c) - 86625*e^(-4*d*x - 4*c) + 10395*I*e^(-5*d*x - 5*c) - 8397)/(d*(3317760*I*e^(-d*x - c) + 12054528*e^(-2*d*x - 2*c) - 18923520*I*e^(-3*d*x - 3*c) - 12054528*e^(-4*d*x - 4*c) + 3317760*I*e^(-5*d*x - 5*c) + 331776*e^(-6*d*x - 6*c) - 331776))","A",0
96,1,272,0,0.323171," ","integrate((a+b*sinh(d*x+c))^5,x, algorithm=""maxima"")","\frac{5}{64} \, a b^{4} {\left(24 \, x + \frac{e^{\left(4 \, d x + 4 \, c\right)}}{d} - \frac{8 \, e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{8 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d} - \frac{e^{\left(-4 \, d x - 4 \, c\right)}}{d}\right)} - \frac{5}{4} \, a^{3} b^{2} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} + a^{5} x + \frac{1}{480} \, b^{5} {\left(\frac{3 \, e^{\left(5 \, d x + 5 \, c\right)}}{d} - \frac{25 \, e^{\left(3 \, d x + 3 \, c\right)}}{d} + \frac{150 \, e^{\left(d x + c\right)}}{d} + \frac{150 \, e^{\left(-d x - c\right)}}{d} - \frac{25 \, e^{\left(-3 \, d x - 3 \, c\right)}}{d} + \frac{3 \, e^{\left(-5 \, d x - 5 \, c\right)}}{d}\right)} + \frac{5}{12} \, a^{2} b^{3} {\left(\frac{e^{\left(3 \, d x + 3 \, c\right)}}{d} - \frac{9 \, e^{\left(d x + c\right)}}{d} - \frac{9 \, e^{\left(-d x - c\right)}}{d} + \frac{e^{\left(-3 \, d x - 3 \, c\right)}}{d}\right)} + \frac{5 \, a^{4} b \cosh\left(d x + c\right)}{d}"," ",0,"5/64*a*b^4*(24*x + e^(4*d*x + 4*c)/d - 8*e^(2*d*x + 2*c)/d + 8*e^(-2*d*x - 2*c)/d - e^(-4*d*x - 4*c)/d) - 5/4*a^3*b^2*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + a^5*x + 1/480*b^5*(3*e^(5*d*x + 5*c)/d - 25*e^(3*d*x + 3*c)/d + 150*e^(d*x + c)/d + 150*e^(-d*x - c)/d - 25*e^(-3*d*x - 3*c)/d + 3*e^(-5*d*x - 5*c)/d) + 5/12*a^2*b^3*(e^(3*d*x + 3*c)/d - 9*e^(d*x + c)/d - 9*e^(-d*x - c)/d + e^(-3*d*x - 3*c)/d) + 5*a^4*b*cosh(d*x + c)/d","A",0
97,1,182,0,0.322891," ","integrate((a+b*sinh(d*x+c))^4,x, algorithm=""maxima"")","\frac{1}{64} \, b^{4} {\left(24 \, x + \frac{e^{\left(4 \, d x + 4 \, c\right)}}{d} - \frac{8 \, e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{8 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d} - \frac{e^{\left(-4 \, d x - 4 \, c\right)}}{d}\right)} - \frac{3}{4} \, a^{2} b^{2} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} + a^{4} x + \frac{1}{6} \, a b^{3} {\left(\frac{e^{\left(3 \, d x + 3 \, c\right)}}{d} - \frac{9 \, e^{\left(d x + c\right)}}{d} - \frac{9 \, e^{\left(-d x - c\right)}}{d} + \frac{e^{\left(-3 \, d x - 3 \, c\right)}}{d}\right)} + \frac{4 \, a^{3} b \cosh\left(d x + c\right)}{d}"," ",0,"1/64*b^4*(24*x + e^(4*d*x + 4*c)/d - 8*e^(2*d*x + 2*c)/d + 8*e^(-2*d*x - 2*c)/d - e^(-4*d*x - 4*c)/d) - 3/4*a^2*b^2*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + a^4*x + 1/6*a*b^3*(e^(3*d*x + 3*c)/d - 9*e^(d*x + c)/d - 9*e^(-d*x - c)/d + e^(-3*d*x - 3*c)/d) + 4*a^3*b*cosh(d*x + c)/d","A",0
98,1,115,0,0.320778," ","integrate((a+b*sinh(d*x+c))^3,x, algorithm=""maxima"")","-\frac{3}{8} \, a b^{2} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} + a^{3} x + \frac{1}{24} \, b^{3} {\left(\frac{e^{\left(3 \, d x + 3 \, c\right)}}{d} - \frac{9 \, e^{\left(d x + c\right)}}{d} - \frac{9 \, e^{\left(-d x - c\right)}}{d} + \frac{e^{\left(-3 \, d x - 3 \, c\right)}}{d}\right)} + \frac{3 \, a^{2} b \cosh\left(d x + c\right)}{d}"," ",0,"-3/8*a*b^2*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + a^3*x + 1/24*b^3*(e^(3*d*x + 3*c)/d - 9*e^(d*x + c)/d - 9*e^(-d*x - c)/d + e^(-3*d*x - 3*c)/d) + 3*a^2*b*cosh(d*x + c)/d","A",0
99,1,55,0,0.301646," ","integrate((a+b*sinh(d*x+c))^2,x, algorithm=""maxima"")","-\frac{1}{8} \, b^{2} {\left(4 \, x - \frac{e^{\left(2 \, d x + 2 \, c\right)}}{d} + \frac{e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)} + a^{2} x + \frac{2 \, a b \cosh\left(d x + c\right)}{d}"," ",0,"-1/8*b^2*(4*x - e^(2*d*x + 2*c)/d + e^(-2*d*x - 2*c)/d) + a^2*x + 2*a*b*cosh(d*x + c)/d","A",0
100,1,15,0,0.325066," ","integrate(a+b*sinh(d*x+c),x, algorithm=""maxima"")","a x + \frac{b \cosh\left(d x + c\right)}{d}"," ",0,"a*x + b*cosh(d*x + c)/d","A",0
101,1,67,0,0.435957," ","integrate(1/(a+b*sinh(d*x+c)),x, algorithm=""maxima"")","\frac{\log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} d}"," ",0,"log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*d)","A",0
102,1,138,0,0.418141," ","integrate(1/(a+b*sinh(d*x+c))^2,x, algorithm=""maxima"")","\frac{a \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}} d} - \frac{2 \, {\left(a e^{\left(-d x - c\right)} + b\right)}}{{\left(a^{2} b + b^{3} + 2 \, {\left(a^{3} + a b^{2}\right)} e^{\left(-d x - c\right)} - {\left(a^{2} b + b^{3}\right)} e^{\left(-2 \, d x - 2 \, c\right)}\right)} d}"," ",0,"a*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^2 + b^2)^(3/2)*d) - 2*(a*e^(-d*x - c) + b)/((a^2*b + b^3 + 2*(a^3 + a*b^2)*e^(-d*x - c) - (a^2*b + b^3)*e^(-2*d*x - 2*c))*d)","A",0
103,1,315,0,0.427170," ","integrate(1/(a+b*sinh(d*x+c))^3,x, algorithm=""maxima"")","\frac{{\left(2 \, a^{2} - b^{2}\right)} \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}} d} - \frac{3 \, a b^{2} + {\left(10 \, a^{2} b + b^{3}\right)} e^{\left(-d x - c\right)} + 3 \, {\left(2 \, a^{3} - a b^{2}\right)} e^{\left(-2 \, d x - 2 \, c\right)} - {\left(2 \, a^{2} b - b^{3}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{{\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} e^{\left(-d x - c\right)} + 2 \, {\left(2 \, a^{6} + 3 \, a^{4} b^{2} - b^{6}\right)} e^{\left(-2 \, d x - 2 \, c\right)} - 4 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} e^{\left(-3 \, d x - 3 \, c\right)} + {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} e^{\left(-4 \, d x - 4 \, c\right)}\right)} d}"," ",0,"1/2*(2*a^2 - b^2)*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)*d) - (3*a*b^2 + (10*a^2*b + b^3)*e^(-d*x - c) + 3*(2*a^3 - a*b^2)*e^(-2*d*x - 2*c) - (2*a^2*b - b^3)*e^(-3*d*x - 3*c))/((a^4*b^2 + 2*a^2*b^4 + b^6 + 4*(a^5*b + 2*a^3*b^3 + a*b^5)*e^(-d*x - c) + 2*(2*a^6 + 3*a^4*b^2 - b^6)*e^(-2*d*x - 2*c) - 4*(a^5*b + 2*a^3*b^3 + a*b^5)*e^(-3*d*x - 3*c) + (a^4*b^2 + 2*a^2*b^4 + b^6)*e^(-4*d*x - 4*c))*d)","B",0
104,1,551,0,0.447174," ","integrate(1/(a+b*sinh(d*x+c))^4,x, algorithm=""maxima"")","\frac{{\left(2 \, a^{2} - 3 \, b^{2}\right)} a \log\left(\frac{b e^{\left(-d x - c\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-d x - c\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \sqrt{a^{2} + b^{2}} d} - \frac{11 \, a^{2} b^{3} - 4 \, b^{5} + 15 \, {\left(4 \, a^{3} b^{2} - a b^{4}\right)} e^{\left(-d x - c\right)} + 6 \, {\left(17 \, a^{4} b - 6 \, a^{2} b^{3} + 2 \, b^{5}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 2 \, {\left(22 \, a^{5} - 41 \, a^{3} b^{2} + 12 \, a b^{4}\right)} e^{\left(-3 \, d x - 3 \, c\right)} - 15 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3}\right)} e^{\left(-4 \, d x - 4 \, c\right)} + 3 \, {\left(2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} e^{\left(-5 \, d x - 5 \, c\right)}}{3 \, {\left(a^{6} b^{3} + 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} + b^{9} + 6 \, {\left(a^{7} b^{2} + 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} + a b^{8}\right)} e^{\left(-d x - c\right)} + 3 \, {\left(4 \, a^{8} b + 11 \, a^{6} b^{3} + 9 \, a^{4} b^{5} + a^{2} b^{7} - b^{9}\right)} e^{\left(-2 \, d x - 2 \, c\right)} + 4 \, {\left(2 \, a^{9} + 3 \, a^{7} b^{2} - 3 \, a^{5} b^{4} - 7 \, a^{3} b^{6} - 3 \, a b^{8}\right)} e^{\left(-3 \, d x - 3 \, c\right)} - 3 \, {\left(4 \, a^{8} b + 11 \, a^{6} b^{3} + 9 \, a^{4} b^{5} + a^{2} b^{7} - b^{9}\right)} e^{\left(-4 \, d x - 4 \, c\right)} + 6 \, {\left(a^{7} b^{2} + 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} + a b^{8}\right)} e^{\left(-5 \, d x - 5 \, c\right)} - {\left(a^{6} b^{3} + 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} + b^{9}\right)} e^{\left(-6 \, d x - 6 \, c\right)}\right)} d}"," ",0,"1/2*(2*a^2 - 3*b^2)*a*log((b*e^(-d*x - c) - a - sqrt(a^2 + b^2))/(b*e^(-d*x - c) - a + sqrt(a^2 + b^2)))/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sqrt(a^2 + b^2)*d) - 1/3*(11*a^2*b^3 - 4*b^5 + 15*(4*a^3*b^2 - a*b^4)*e^(-d*x - c) + 6*(17*a^4*b - 6*a^2*b^3 + 2*b^5)*e^(-2*d*x - 2*c) + 2*(22*a^5 - 41*a^3*b^2 + 12*a*b^4)*e^(-3*d*x - 3*c) - 15*(2*a^4*b - 3*a^2*b^3)*e^(-4*d*x - 4*c) + 3*(2*a^3*b^2 - 3*a*b^4)*e^(-5*d*x - 5*c))/((a^6*b^3 + 3*a^4*b^5 + 3*a^2*b^7 + b^9 + 6*(a^7*b^2 + 3*a^5*b^4 + 3*a^3*b^6 + a*b^8)*e^(-d*x - c) + 3*(4*a^8*b + 11*a^6*b^3 + 9*a^4*b^5 + a^2*b^7 - b^9)*e^(-2*d*x - 2*c) + 4*(2*a^9 + 3*a^7*b^2 - 3*a^5*b^4 - 7*a^3*b^6 - 3*a*b^8)*e^(-3*d*x - 3*c) - 3*(4*a^8*b + 11*a^6*b^3 + 9*a^4*b^5 + a^2*b^7 - b^9)*e^(-4*d*x - 4*c) + 6*(a^7*b^2 + 3*a^5*b^4 + 3*a^3*b^6 + a*b^8)*e^(-5*d*x - 5*c) - (a^6*b^3 + 3*a^4*b^5 + 3*a^2*b^7 + b^9)*e^(-6*d*x - 6*c))*d)","B",0
105,0,0,0,0.000000," ","integrate((a+b*sinh(x))^(5/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(x\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*sinh(x) + a)^(5/2), x)","F",0
106,0,0,0,0.000000," ","integrate((a+b*sinh(x))^(3/2),x, algorithm=""maxima"")","\int {\left(b \sinh\left(x\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sinh(x) + a)^(3/2), x)","F",0
107,0,0,0,0.000000," ","integrate((a+b*sinh(x))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(x\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*sinh(x) + a), x)","F",0
108,0,0,0,0.000000," ","integrate(1/(a+b*sinh(x))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \sinh\left(x\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*sinh(x) + a), x)","F",0
109,0,0,0,0.000000," ","integrate(1/(a+b*sinh(x))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \sinh\left(x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sinh(x) + a)^(-3/2), x)","F",0
110,0,0,0,0.000000," ","integrate(1/(a+b*sinh(x))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \sinh\left(x\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sinh(x) + a)^(-5/2), x)","F",0
111,0,0,0,0.000000," ","integrate(sinh(x)/(a+b*sinh(x))^(1/2),x, algorithm=""maxima"")","\int \frac{\sinh\left(x\right)}{\sqrt{b \sinh\left(x\right) + a}}\,{d x}"," ",0,"integrate(sinh(x)/sqrt(b*sinh(x) + a), x)","F",0
112,0,0,0,0.000000," ","integrate((a+I*a*sinh(x))^(5/2)*(A+B*sinh(x)),x, algorithm=""maxima"")","\int {\left(B \sinh\left(x\right) + A\right)} {\left(i \, a \sinh\left(x\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*sinh(x) + A)*(I*a*sinh(x) + a)^(5/2), x)","F",0
113,0,0,0,0.000000," ","integrate((a+I*a*sinh(x))^(3/2)*(A+B*sinh(x)),x, algorithm=""maxima"")","\int {\left(B \sinh\left(x\right) + A\right)} {\left(i \, a \sinh\left(x\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*sinh(x) + A)*(I*a*sinh(x) + a)^(3/2), x)","F",0
114,0,0,0,0.000000," ","integrate((a+I*a*sinh(x))^(1/2)*(A+B*sinh(x)),x, algorithm=""maxima"")","\int {\left(B \sinh\left(x\right) + A\right)} \sqrt{i \, a \sinh\left(x\right) + a}\,{d x}"," ",0,"integrate((B*sinh(x) + A)*sqrt(I*a*sinh(x) + a), x)","F",0
115,1,26,0,0.316433," ","integrate((A+B*sinh(x))/(I+sinh(x)),x, algorithm=""maxima"")","B {\left(x + \frac{2 i}{e^{\left(-x\right)} - i}\right)} - \frac{2 \, A}{e^{\left(-x\right)} - i}"," ",0,"B*(x + 2*I/(e^(-x) - I)) - 2*A/(e^(-x) - I)","A",0
116,1,141,0,0.331473," ","integrate((A+B*sinh(x))/(I+sinh(x))^2,x, algorithm=""maxima"")","-2 \, A {\left(\frac{3 \, e^{\left(-x\right)}}{9 \, e^{\left(-x\right)} + 9 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} - 3 i} - \frac{i}{9 \, e^{\left(-x\right)} + 9 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} - 3 i}\right)} + \frac{1}{2} \, B {\left(-\frac{12 i \, e^{\left(-x\right)}}{9 \, e^{\left(-x\right)} + 9 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} - 3 i} + \frac{12 \, e^{\left(-2 \, x\right)}}{9 \, e^{\left(-x\right)} + 9 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} - 3 i} - \frac{8}{9 \, e^{\left(-x\right)} + 9 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} - 3 i}\right)}"," ",0,"-2*A*(3*e^(-x)/(9*e^(-x) + 9*I*e^(-2*x) - 3*e^(-3*x) - 3*I) - I/(9*e^(-x) + 9*I*e^(-2*x) - 3*e^(-3*x) - 3*I)) + 1/2*B*(-12*I*e^(-x)/(9*e^(-x) + 9*I*e^(-2*x) - 3*e^(-3*x) - 3*I) + 12*e^(-2*x)/(9*e^(-x) + 9*I*e^(-2*x) - 3*e^(-3*x) - 3*I) - 8/(9*e^(-x) + 9*I*e^(-2*x) - 3*e^(-3*x) - 3*I))","B",0
117,1,280,0,0.336782," ","integrate((A+B*sinh(x))/(I+sinh(x))^3,x, algorithm=""maxima"")","A {\left(\frac{20 i \, e^{\left(-x\right)}}{75 \, e^{\left(-x\right)} + 150 i \, e^{\left(-2 \, x\right)} - 150 \, e^{\left(-3 \, x\right)} - 75 i \, e^{\left(-4 \, x\right)} + 15 \, e^{\left(-5 \, x\right)} - 15 i} - \frac{40 \, e^{\left(-2 \, x\right)}}{75 \, e^{\left(-x\right)} + 150 i \, e^{\left(-2 \, x\right)} - 150 \, e^{\left(-3 \, x\right)} - 75 i \, e^{\left(-4 \, x\right)} + 15 \, e^{\left(-5 \, x\right)} - 15 i} + \frac{4}{75 \, e^{\left(-x\right)} + 150 i \, e^{\left(-2 \, x\right)} - 150 \, e^{\left(-3 \, x\right)} - 75 i \, e^{\left(-4 \, x\right)} + 15 \, e^{\left(-5 \, x\right)} - 15 i}\right)} - \frac{1}{2} \, B {\left(\frac{20 \, e^{\left(-x\right)}}{25 \, e^{\left(-x\right)} + 50 i \, e^{\left(-2 \, x\right)} - 50 \, e^{\left(-3 \, x\right)} - 25 i \, e^{\left(-4 \, x\right)} + 5 \, e^{\left(-5 \, x\right)} - 5 i} + \frac{20 i \, e^{\left(-2 \, x\right)}}{25 \, e^{\left(-x\right)} + 50 i \, e^{\left(-2 \, x\right)} - 50 \, e^{\left(-3 \, x\right)} - 25 i \, e^{\left(-4 \, x\right)} + 5 \, e^{\left(-5 \, x\right)} - 5 i} - \frac{20 \, e^{\left(-3 \, x\right)}}{25 \, e^{\left(-x\right)} + 50 i \, e^{\left(-2 \, x\right)} - 50 \, e^{\left(-3 \, x\right)} - 25 i \, e^{\left(-4 \, x\right)} + 5 \, e^{\left(-5 \, x\right)} - 5 i} - \frac{4 i}{25 \, e^{\left(-x\right)} + 50 i \, e^{\left(-2 \, x\right)} - 50 \, e^{\left(-3 \, x\right)} - 25 i \, e^{\left(-4 \, x\right)} + 5 \, e^{\left(-5 \, x\right)} - 5 i}\right)}"," ",0,"A*(20*I*e^(-x)/(75*e^(-x) + 150*I*e^(-2*x) - 150*e^(-3*x) - 75*I*e^(-4*x) + 15*e^(-5*x) - 15*I) - 40*e^(-2*x)/(75*e^(-x) + 150*I*e^(-2*x) - 150*e^(-3*x) - 75*I*e^(-4*x) + 15*e^(-5*x) - 15*I) + 4/(75*e^(-x) + 150*I*e^(-2*x) - 150*e^(-3*x) - 75*I*e^(-4*x) + 15*e^(-5*x) - 15*I)) - 1/2*B*(20*e^(-x)/(25*e^(-x) + 50*I*e^(-2*x) - 50*e^(-3*x) - 25*I*e^(-4*x) + 5*e^(-5*x) - 5*I) + 20*I*e^(-2*x)/(25*e^(-x) + 50*I*e^(-2*x) - 50*e^(-3*x) - 25*I*e^(-4*x) + 5*e^(-5*x) - 5*I) - 20*e^(-3*x)/(25*e^(-x) + 50*I*e^(-2*x) - 50*e^(-3*x) - 25*I*e^(-4*x) + 5*e^(-5*x) - 5*I) - 4*I/(25*e^(-x) + 50*I*e^(-2*x) - 50*e^(-3*x) - 25*I*e^(-4*x) + 5*e^(-5*x) - 5*I))","B",0
118,1,468,0,0.341576," ","integrate((A+B*sinh(x))/(I+sinh(x))^4,x, algorithm=""maxima"")","\frac{1}{2} \, B {\left(\frac{224 i \, e^{\left(-x\right)}}{735 \, e^{\left(-x\right)} + 2205 i \, e^{\left(-2 \, x\right)} - 3675 \, e^{\left(-3 \, x\right)} - 3675 i \, e^{\left(-4 \, x\right)} + 2205 \, e^{\left(-5 \, x\right)} + 735 i \, e^{\left(-6 \, x\right)} - 105 \, e^{\left(-7 \, x\right)} - 105 i} - \frac{672 \, e^{\left(-2 \, x\right)}}{735 \, e^{\left(-x\right)} + 2205 i \, e^{\left(-2 \, x\right)} - 3675 \, e^{\left(-3 \, x\right)} - 3675 i \, e^{\left(-4 \, x\right)} + 2205 \, e^{\left(-5 \, x\right)} + 735 i \, e^{\left(-6 \, x\right)} - 105 \, e^{\left(-7 \, x\right)} - 105 i} - \frac{560 i \, e^{\left(-3 \, x\right)}}{735 \, e^{\left(-x\right)} + 2205 i \, e^{\left(-2 \, x\right)} - 3675 \, e^{\left(-3 \, x\right)} - 3675 i \, e^{\left(-4 \, x\right)} + 2205 \, e^{\left(-5 \, x\right)} + 735 i \, e^{\left(-6 \, x\right)} - 105 \, e^{\left(-7 \, x\right)} - 105 i} + \frac{560 \, e^{\left(-4 \, x\right)}}{735 \, e^{\left(-x\right)} + 2205 i \, e^{\left(-2 \, x\right)} - 3675 \, e^{\left(-3 \, x\right)} - 3675 i \, e^{\left(-4 \, x\right)} + 2205 \, e^{\left(-5 \, x\right)} + 735 i \, e^{\left(-6 \, x\right)} - 105 \, e^{\left(-7 \, x\right)} - 105 i} + \frac{32}{735 \, e^{\left(-x\right)} + 2205 i \, e^{\left(-2 \, x\right)} - 3675 \, e^{\left(-3 \, x\right)} - 3675 i \, e^{\left(-4 \, x\right)} + 2205 \, e^{\left(-5 \, x\right)} + 735 i \, e^{\left(-6 \, x\right)} - 105 \, e^{\left(-7 \, x\right)} - 105 i}\right)} + A {\left(\frac{28 \, e^{\left(-x\right)}}{245 \, e^{\left(-x\right)} + 735 i \, e^{\left(-2 \, x\right)} - 1225 \, e^{\left(-3 \, x\right)} - 1225 i \, e^{\left(-4 \, x\right)} + 735 \, e^{\left(-5 \, x\right)} + 245 i \, e^{\left(-6 \, x\right)} - 35 \, e^{\left(-7 \, x\right)} - 35 i} + \frac{84 i \, e^{\left(-2 \, x\right)}}{245 \, e^{\left(-x\right)} + 735 i \, e^{\left(-2 \, x\right)} - 1225 \, e^{\left(-3 \, x\right)} - 1225 i \, e^{\left(-4 \, x\right)} + 735 \, e^{\left(-5 \, x\right)} + 245 i \, e^{\left(-6 \, x\right)} - 35 \, e^{\left(-7 \, x\right)} - 35 i} - \frac{140 \, e^{\left(-3 \, x\right)}}{245 \, e^{\left(-x\right)} + 735 i \, e^{\left(-2 \, x\right)} - 1225 \, e^{\left(-3 \, x\right)} - 1225 i \, e^{\left(-4 \, x\right)} + 735 \, e^{\left(-5 \, x\right)} + 245 i \, e^{\left(-6 \, x\right)} - 35 \, e^{\left(-7 \, x\right)} - 35 i} - \frac{4 i}{245 \, e^{\left(-x\right)} + 735 i \, e^{\left(-2 \, x\right)} - 1225 \, e^{\left(-3 \, x\right)} - 1225 i \, e^{\left(-4 \, x\right)} + 735 \, e^{\left(-5 \, x\right)} + 245 i \, e^{\left(-6 \, x\right)} - 35 \, e^{\left(-7 \, x\right)} - 35 i}\right)}"," ",0,"1/2*B*(224*I*e^(-x)/(735*e^(-x) + 2205*I*e^(-2*x) - 3675*e^(-3*x) - 3675*I*e^(-4*x) + 2205*e^(-5*x) + 735*I*e^(-6*x) - 105*e^(-7*x) - 105*I) - 672*e^(-2*x)/(735*e^(-x) + 2205*I*e^(-2*x) - 3675*e^(-3*x) - 3675*I*e^(-4*x) + 2205*e^(-5*x) + 735*I*e^(-6*x) - 105*e^(-7*x) - 105*I) - 560*I*e^(-3*x)/(735*e^(-x) + 2205*I*e^(-2*x) - 3675*e^(-3*x) - 3675*I*e^(-4*x) + 2205*e^(-5*x) + 735*I*e^(-6*x) - 105*e^(-7*x) - 105*I) + 560*e^(-4*x)/(735*e^(-x) + 2205*I*e^(-2*x) - 3675*e^(-3*x) - 3675*I*e^(-4*x) + 2205*e^(-5*x) + 735*I*e^(-6*x) - 105*e^(-7*x) - 105*I) + 32/(735*e^(-x) + 2205*I*e^(-2*x) - 3675*e^(-3*x) - 3675*I*e^(-4*x) + 2205*e^(-5*x) + 735*I*e^(-6*x) - 105*e^(-7*x) - 105*I)) + A*(28*e^(-x)/(245*e^(-x) + 735*I*e^(-2*x) - 1225*e^(-3*x) - 1225*I*e^(-4*x) + 735*e^(-5*x) + 245*I*e^(-6*x) - 35*e^(-7*x) - 35*I) + 84*I*e^(-2*x)/(245*e^(-x) + 735*I*e^(-2*x) - 1225*e^(-3*x) - 1225*I*e^(-4*x) + 735*e^(-5*x) + 245*I*e^(-6*x) - 35*e^(-7*x) - 35*I) - 140*e^(-3*x)/(245*e^(-x) + 735*I*e^(-2*x) - 1225*e^(-3*x) - 1225*I*e^(-4*x) + 735*e^(-5*x) + 245*I*e^(-6*x) - 35*e^(-7*x) - 35*I) - 4*I/(245*e^(-x) + 735*I*e^(-2*x) - 1225*e^(-3*x) - 1225*I*e^(-4*x) + 735*e^(-5*x) + 245*I*e^(-6*x) - 35*e^(-7*x) - 35*I))","B",0
119,1,29,0,0.316146," ","integrate((A+B*sinh(x))/(I-sinh(x)),x, algorithm=""maxima"")","-\frac{1}{2} \, B {\left(2 \, x - \frac{4 i}{e^{\left(-x\right)} + i}\right)} + \frac{2 \, A}{e^{\left(-x\right)} + i}"," ",0,"-1/2*B*(2*x - 4*I/(e^(-x) + I)) + 2*A/(e^(-x) + I)","A",0
120,1,141,0,0.335672," ","integrate((A+B*sinh(x))/(I-sinh(x))^2,x, algorithm=""maxima"")","-A {\left(\frac{6 \, e^{\left(-x\right)}}{9 \, e^{\left(-x\right)} - 9 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} + 3 i} + \frac{2 i}{9 \, e^{\left(-x\right)} - 9 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} + 3 i}\right)} + \frac{1}{2} \, B {\left(\frac{12 i \, e^{\left(-x\right)}}{9 \, e^{\left(-x\right)} - 9 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} + 3 i} + \frac{12 \, e^{\left(-2 \, x\right)}}{9 \, e^{\left(-x\right)} - 9 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} + 3 i} - \frac{8}{9 \, e^{\left(-x\right)} - 9 i \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-3 \, x\right)} + 3 i}\right)}"," ",0,"-A*(6*e^(-x)/(9*e^(-x) - 9*I*e^(-2*x) - 3*e^(-3*x) + 3*I) + 2*I/(9*e^(-x) - 9*I*e^(-2*x) - 3*e^(-3*x) + 3*I)) + 1/2*B*(12*I*e^(-x)/(9*e^(-x) - 9*I*e^(-2*x) - 3*e^(-3*x) + 3*I) + 12*e^(-2*x)/(9*e^(-x) - 9*I*e^(-2*x) - 3*e^(-3*x) + 3*I) - 8/(9*e^(-x) - 9*I*e^(-2*x) - 3*e^(-3*x) + 3*I))","B",0
121,1,281,0,0.332690," ","integrate((A+B*sinh(x))/(I-sinh(x))^3,x, algorithm=""maxima"")","-A {\left(-\frac{20 i \, e^{\left(-x\right)}}{75 \, e^{\left(-x\right)} - 150 i \, e^{\left(-2 \, x\right)} - 150 \, e^{\left(-3 \, x\right)} + 75 i \, e^{\left(-4 \, x\right)} + 15 \, e^{\left(-5 \, x\right)} + 15 i} - \frac{40 \, e^{\left(-2 \, x\right)}}{75 \, e^{\left(-x\right)} - 150 i \, e^{\left(-2 \, x\right)} - 150 \, e^{\left(-3 \, x\right)} + 75 i \, e^{\left(-4 \, x\right)} + 15 \, e^{\left(-5 \, x\right)} + 15 i} + \frac{4}{75 \, e^{\left(-x\right)} - 150 i \, e^{\left(-2 \, x\right)} - 150 \, e^{\left(-3 \, x\right)} + 75 i \, e^{\left(-4 \, x\right)} + 15 \, e^{\left(-5 \, x\right)} + 15 i}\right)} + \frac{1}{2} \, B {\left(\frac{20 \, e^{\left(-x\right)}}{25 \, e^{\left(-x\right)} - 50 i \, e^{\left(-2 \, x\right)} - 50 \, e^{\left(-3 \, x\right)} + 25 i \, e^{\left(-4 \, x\right)} + 5 \, e^{\left(-5 \, x\right)} + 5 i} - \frac{20 i \, e^{\left(-2 \, x\right)}}{25 \, e^{\left(-x\right)} - 50 i \, e^{\left(-2 \, x\right)} - 50 \, e^{\left(-3 \, x\right)} + 25 i \, e^{\left(-4 \, x\right)} + 5 \, e^{\left(-5 \, x\right)} + 5 i} - \frac{20 \, e^{\left(-3 \, x\right)}}{25 \, e^{\left(-x\right)} - 50 i \, e^{\left(-2 \, x\right)} - 50 \, e^{\left(-3 \, x\right)} + 25 i \, e^{\left(-4 \, x\right)} + 5 \, e^{\left(-5 \, x\right)} + 5 i} + \frac{4 i}{25 \, e^{\left(-x\right)} - 50 i \, e^{\left(-2 \, x\right)} - 50 \, e^{\left(-3 \, x\right)} + 25 i \, e^{\left(-4 \, x\right)} + 5 \, e^{\left(-5 \, x\right)} + 5 i}\right)}"," ",0,"-A*(-20*I*e^(-x)/(75*e^(-x) - 150*I*e^(-2*x) - 150*e^(-3*x) + 75*I*e^(-4*x) + 15*e^(-5*x) + 15*I) - 40*e^(-2*x)/(75*e^(-x) - 150*I*e^(-2*x) - 150*e^(-3*x) + 75*I*e^(-4*x) + 15*e^(-5*x) + 15*I) + 4/(75*e^(-x) - 150*I*e^(-2*x) - 150*e^(-3*x) + 75*I*e^(-4*x) + 15*e^(-5*x) + 15*I)) + 1/2*B*(20*e^(-x)/(25*e^(-x) - 50*I*e^(-2*x) - 50*e^(-3*x) + 25*I*e^(-4*x) + 5*e^(-5*x) + 5*I) - 20*I*e^(-2*x)/(25*e^(-x) - 50*I*e^(-2*x) - 50*e^(-3*x) + 25*I*e^(-4*x) + 5*e^(-5*x) + 5*I) - 20*e^(-3*x)/(25*e^(-x) - 50*I*e^(-2*x) - 50*e^(-3*x) + 25*I*e^(-4*x) + 5*e^(-5*x) + 5*I) + 4*I/(25*e^(-x) - 50*I*e^(-2*x) - 50*e^(-3*x) + 25*I*e^(-4*x) + 5*e^(-5*x) + 5*I))","B",0
122,1,468,0,0.345494," ","integrate((A+B*sinh(x))/(I-sinh(x))^4,x, algorithm=""maxima"")","\frac{1}{2} \, B {\left(-\frac{224 i \, e^{\left(-x\right)}}{735 \, e^{\left(-x\right)} - 2205 i \, e^{\left(-2 \, x\right)} - 3675 \, e^{\left(-3 \, x\right)} + 3675 i \, e^{\left(-4 \, x\right)} + 2205 \, e^{\left(-5 \, x\right)} - 735 i \, e^{\left(-6 \, x\right)} - 105 \, e^{\left(-7 \, x\right)} + 105 i} - \frac{672 \, e^{\left(-2 \, x\right)}}{735 \, e^{\left(-x\right)} - 2205 i \, e^{\left(-2 \, x\right)} - 3675 \, e^{\left(-3 \, x\right)} + 3675 i \, e^{\left(-4 \, x\right)} + 2205 \, e^{\left(-5 \, x\right)} - 735 i \, e^{\left(-6 \, x\right)} - 105 \, e^{\left(-7 \, x\right)} + 105 i} + \frac{560 i \, e^{\left(-3 \, x\right)}}{735 \, e^{\left(-x\right)} - 2205 i \, e^{\left(-2 \, x\right)} - 3675 \, e^{\left(-3 \, x\right)} + 3675 i \, e^{\left(-4 \, x\right)} + 2205 \, e^{\left(-5 \, x\right)} - 735 i \, e^{\left(-6 \, x\right)} - 105 \, e^{\left(-7 \, x\right)} + 105 i} + \frac{560 \, e^{\left(-4 \, x\right)}}{735 \, e^{\left(-x\right)} - 2205 i \, e^{\left(-2 \, x\right)} - 3675 \, e^{\left(-3 \, x\right)} + 3675 i \, e^{\left(-4 \, x\right)} + 2205 \, e^{\left(-5 \, x\right)} - 735 i \, e^{\left(-6 \, x\right)} - 105 \, e^{\left(-7 \, x\right)} + 105 i} + \frac{32}{735 \, e^{\left(-x\right)} - 2205 i \, e^{\left(-2 \, x\right)} - 3675 \, e^{\left(-3 \, x\right)} + 3675 i \, e^{\left(-4 \, x\right)} + 2205 \, e^{\left(-5 \, x\right)} - 735 i \, e^{\left(-6 \, x\right)} - 105 \, e^{\left(-7 \, x\right)} + 105 i}\right)} + A {\left(\frac{28 \, e^{\left(-x\right)}}{245 \, e^{\left(-x\right)} - 735 i \, e^{\left(-2 \, x\right)} - 1225 \, e^{\left(-3 \, x\right)} + 1225 i \, e^{\left(-4 \, x\right)} + 735 \, e^{\left(-5 \, x\right)} - 245 i \, e^{\left(-6 \, x\right)} - 35 \, e^{\left(-7 \, x\right)} + 35 i} - \frac{84 i \, e^{\left(-2 \, x\right)}}{245 \, e^{\left(-x\right)} - 735 i \, e^{\left(-2 \, x\right)} - 1225 \, e^{\left(-3 \, x\right)} + 1225 i \, e^{\left(-4 \, x\right)} + 735 \, e^{\left(-5 \, x\right)} - 245 i \, e^{\left(-6 \, x\right)} - 35 \, e^{\left(-7 \, x\right)} + 35 i} - \frac{140 \, e^{\left(-3 \, x\right)}}{245 \, e^{\left(-x\right)} - 735 i \, e^{\left(-2 \, x\right)} - 1225 \, e^{\left(-3 \, x\right)} + 1225 i \, e^{\left(-4 \, x\right)} + 735 \, e^{\left(-5 \, x\right)} - 245 i \, e^{\left(-6 \, x\right)} - 35 \, e^{\left(-7 \, x\right)} + 35 i} + \frac{4 i}{245 \, e^{\left(-x\right)} - 735 i \, e^{\left(-2 \, x\right)} - 1225 \, e^{\left(-3 \, x\right)} + 1225 i \, e^{\left(-4 \, x\right)} + 735 \, e^{\left(-5 \, x\right)} - 245 i \, e^{\left(-6 \, x\right)} - 35 \, e^{\left(-7 \, x\right)} + 35 i}\right)}"," ",0,"1/2*B*(-224*I*e^(-x)/(735*e^(-x) - 2205*I*e^(-2*x) - 3675*e^(-3*x) + 3675*I*e^(-4*x) + 2205*e^(-5*x) - 735*I*e^(-6*x) - 105*e^(-7*x) + 105*I) - 672*e^(-2*x)/(735*e^(-x) - 2205*I*e^(-2*x) - 3675*e^(-3*x) + 3675*I*e^(-4*x) + 2205*e^(-5*x) - 735*I*e^(-6*x) - 105*e^(-7*x) + 105*I) + 560*I*e^(-3*x)/(735*e^(-x) - 2205*I*e^(-2*x) - 3675*e^(-3*x) + 3675*I*e^(-4*x) + 2205*e^(-5*x) - 735*I*e^(-6*x) - 105*e^(-7*x) + 105*I) + 560*e^(-4*x)/(735*e^(-x) - 2205*I*e^(-2*x) - 3675*e^(-3*x) + 3675*I*e^(-4*x) + 2205*e^(-5*x) - 735*I*e^(-6*x) - 105*e^(-7*x) + 105*I) + 32/(735*e^(-x) - 2205*I*e^(-2*x) - 3675*e^(-3*x) + 3675*I*e^(-4*x) + 2205*e^(-5*x) - 735*I*e^(-6*x) - 105*e^(-7*x) + 105*I)) + A*(28*e^(-x)/(245*e^(-x) - 735*I*e^(-2*x) - 1225*e^(-3*x) + 1225*I*e^(-4*x) + 735*e^(-5*x) - 245*I*e^(-6*x) - 35*e^(-7*x) + 35*I) - 84*I*e^(-2*x)/(245*e^(-x) - 735*I*e^(-2*x) - 1225*e^(-3*x) + 1225*I*e^(-4*x) + 735*e^(-5*x) - 245*I*e^(-6*x) - 35*e^(-7*x) + 35*I) - 140*e^(-3*x)/(245*e^(-x) - 735*I*e^(-2*x) - 1225*e^(-3*x) + 1225*I*e^(-4*x) + 735*e^(-5*x) - 245*I*e^(-6*x) - 35*e^(-7*x) + 35*I) + 4*I/(245*e^(-x) - 735*I*e^(-2*x) - 1225*e^(-3*x) + 1225*I*e^(-4*x) + 735*e^(-5*x) - 245*I*e^(-6*x) - 35*e^(-7*x) + 35*I))","B",0
123,0,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+I*a*sinh(x))^(1/2),x, algorithm=""maxima"")","\int \frac{B \sinh\left(x\right) + A}{\sqrt{i \, a \sinh\left(x\right) + a}}\,{d x}"," ",0,"integrate((B*sinh(x) + A)/sqrt(I*a*sinh(x) + a), x)","F",0
124,0,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+I*a*sinh(x))^(3/2),x, algorithm=""maxima"")","\int \frac{B \sinh\left(x\right) + A}{{\left(i \, a \sinh\left(x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*sinh(x) + A)/(I*a*sinh(x) + a)^(3/2), x)","F",0
125,0,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+I*a*sinh(x))^(5/2),x, algorithm=""maxima"")","\int \frac{B \sinh\left(x\right) + A}{{\left(i \, a \sinh\left(x\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*sinh(x) + A)/(I*a*sinh(x) + a)^(5/2), x)","F",0
126,0,0,0,0.000000," ","integrate((a+b*sinh(x))^(5/2)*(A+B*sinh(x)),x, algorithm=""maxima"")","\int {\left(B \sinh\left(x\right) + A\right)} {\left(b \sinh\left(x\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*sinh(x) + A)*(b*sinh(x) + a)^(5/2), x)","F",0
127,0,0,0,0.000000," ","integrate((a+b*sinh(x))^(3/2)*(A+B*sinh(x)),x, algorithm=""maxima"")","\int {\left(B \sinh\left(x\right) + A\right)} {\left(b \sinh\left(x\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*sinh(x) + A)*(b*sinh(x) + a)^(3/2), x)","F",0
128,0,0,0,0.000000," ","integrate((a+b*sinh(x))^(1/2)*(A+B*sinh(x)),x, algorithm=""maxima"")","\int {\left(B \sinh\left(x\right) + A\right)} \sqrt{b \sinh\left(x\right) + a}\,{d x}"," ",0,"integrate((B*sinh(x) + A)*sqrt(b*sinh(x) + a), x)","F",0
129,1,124,0,0.401203," ","integrate((A+B*sinh(x))/(a+b*sinh(x)),x, algorithm=""maxima"")","-B {\left(\frac{a \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b} - \frac{x}{b}\right)} + \frac{A \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}}}"," ",0,"-B*(a*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b) - x/b) + A*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/sqrt(a^2 + b^2)","B",0
130,1,229,0,0.415204," ","integrate((A+B*sinh(x))/(a+b*sinh(x))^2,x, algorithm=""maxima"")","A {\left(\frac{a \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}}} - \frac{2 \, {\left(a e^{\left(-x\right)} + b\right)}}{a^{2} b + b^{3} + 2 \, {\left(a^{3} + a b^{2}\right)} e^{\left(-x\right)} - {\left(a^{2} b + b^{3}\right)} e^{\left(-2 \, x\right)}}\right)} + B {\left(\frac{b \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, {\left(a^{2} e^{\left(-x\right)} + a b\right)}}{a^{2} b^{2} + b^{4} + 2 \, {\left(a^{3} b + a b^{3}\right)} e^{\left(-x\right)} - {\left(a^{2} b^{2} + b^{4}\right)} e^{\left(-2 \, x\right)}}\right)}"," ",0,"A*(a*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(a^2 + b^2)^(3/2) - 2*(a*e^(-x) + b)/(a^2*b + b^3 + 2*(a^3 + a*b^2)*e^(-x) - (a^2*b + b^3)*e^(-2*x))) + B*(b*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(a^2 + b^2)^(3/2) + 2*(a^2*e^(-x) + a*b)/(a^2*b^2 + b^4 + 2*(a^3*b + a*b^3)*e^(-x) - (a^2*b^2 + b^4)*e^(-2*x)))","B",0
131,1,537,0,0.431046," ","integrate((A+B*sinh(x))/(a+b*sinh(x))^3,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{3 \, a b \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}}} + \frac{2 \, {\left(3 \, a b^{3} e^{\left(-3 \, x\right)} + a^{2} b^{2} - 2 \, b^{4} + {\left(4 \, a^{3} b - 5 \, a b^{3}\right)} e^{\left(-x\right)} + {\left(2 \, a^{4} - 5 \, a^{2} b^{2} + 2 \, b^{4}\right)} e^{\left(-2 \, x\right)}\right)}}{a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7} + 4 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} e^{\left(-x\right)} + 2 \, {\left(2 \, a^{6} b + 3 \, a^{4} b^{3} - b^{7}\right)} e^{\left(-2 \, x\right)} - 4 \, {\left(a^{5} b^{2} + 2 \, a^{3} b^{4} + a b^{6}\right)} e^{\left(-3 \, x\right)} + {\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} e^{\left(-4 \, x\right)}}\right)} B + \frac{1}{2} \, A {\left(\frac{{\left(2 \, a^{2} - b^{2}\right)} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}}} - \frac{2 \, {\left(3 \, a b^{2} + {\left(10 \, a^{2} b + b^{3}\right)} e^{\left(-x\right)} + 3 \, {\left(2 \, a^{3} - a b^{2}\right)} e^{\left(-2 \, x\right)} - {\left(2 \, a^{2} b - b^{3}\right)} e^{\left(-3 \, x\right)}\right)}}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6} + 4 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} e^{\left(-x\right)} + 2 \, {\left(2 \, a^{6} + 3 \, a^{4} b^{2} - b^{6}\right)} e^{\left(-2 \, x\right)} - 4 \, {\left(a^{5} b + 2 \, a^{3} b^{3} + a b^{5}\right)} e^{\left(-3 \, x\right)} + {\left(a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}\right)} e^{\left(-4 \, x\right)}}\right)}"," ",0,"1/2*(3*a*b*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)) + 2*(3*a*b^3*e^(-3*x) + a^2*b^2 - 2*b^4 + (4*a^3*b - 5*a*b^3)*e^(-x) + (2*a^4 - 5*a^2*b^2 + 2*b^4)*e^(-2*x))/(a^4*b^3 + 2*a^2*b^5 + b^7 + 4*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*e^(-x) + 2*(2*a^6*b + 3*a^4*b^3 - b^7)*e^(-2*x) - 4*(a^5*b^2 + 2*a^3*b^4 + a*b^6)*e^(-3*x) + (a^4*b^3 + 2*a^2*b^5 + b^7)*e^(-4*x)))*B + 1/2*A*((2*a^2 - b^2)*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)) - 2*(3*a*b^2 + (10*a^2*b + b^3)*e^(-x) + 3*(2*a^3 - a*b^2)*e^(-2*x) - (2*a^2*b - b^3)*e^(-3*x))/(a^4*b^2 + 2*a^2*b^4 + b^6 + 4*(a^5*b + 2*a^3*b^3 + a*b^5)*e^(-x) + 2*(2*a^6 + 3*a^4*b^2 - b^6)*e^(-2*x) - 4*(a^5*b + 2*a^3*b^3 + a*b^5)*e^(-3*x) + (a^4*b^2 + 2*a^2*b^4 + b^6)*e^(-4*x)))","B",0
132,1,982,0,0.459517," ","integrate((A+B*sinh(x))/(a+b*sinh(x))^4,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(\frac{3 \, {\left(2 \, a^{2} - 3 \, b^{2}\right)} a \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \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{2 \, {\left(11 \, a^{2} b^{3} - 4 \, b^{5} + 15 \, {\left(4 \, a^{3} b^{2} - a b^{4}\right)} e^{\left(-x\right)} + 6 \, {\left(17 \, a^{4} b - 6 \, a^{2} b^{3} + 2 \, b^{5}\right)} e^{\left(-2 \, x\right)} + 2 \, {\left(22 \, a^{5} - 41 \, a^{3} b^{2} + 12 \, a b^{4}\right)} e^{\left(-3 \, x\right)} - 15 \, {\left(2 \, a^{4} b - 3 \, a^{2} b^{3}\right)} e^{\left(-4 \, x\right)} + 3 \, {\left(2 \, a^{3} b^{2} - 3 \, a b^{4}\right)} e^{\left(-5 \, x\right)}\right)}}{a^{6} b^{3} + 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} + b^{9} + 6 \, {\left(a^{7} b^{2} + 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} + a b^{8}\right)} e^{\left(-x\right)} + 3 \, {\left(4 \, a^{8} b + 11 \, a^{6} b^{3} + 9 \, a^{4} b^{5} + a^{2} b^{7} - b^{9}\right)} e^{\left(-2 \, x\right)} + 4 \, {\left(2 \, a^{9} + 3 \, a^{7} b^{2} - 3 \, a^{5} b^{4} - 7 \, a^{3} b^{6} - 3 \, a b^{8}\right)} e^{\left(-3 \, x\right)} - 3 \, {\left(4 \, a^{8} b + 11 \, a^{6} b^{3} + 9 \, a^{4} b^{5} + a^{2} b^{7} - b^{9}\right)} e^{\left(-4 \, x\right)} + 6 \, {\left(a^{7} b^{2} + 3 \, a^{5} b^{4} + 3 \, a^{3} b^{6} + a b^{8}\right)} e^{\left(-5 \, x\right)} - {\left(a^{6} b^{3} + 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} + b^{9}\right)} e^{\left(-6 \, x\right)}}\right)} A + \frac{1}{6} \, B {\left(\frac{3 \, {\left(4 \, a^{2} b - b^{3}\right)} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \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{2 \, {\left(2 \, a^{3} b^{3} - 13 \, a b^{5} + 3 \, {\left(4 \, a^{4} b^{2} - 22 \, a^{2} b^{4} - b^{6}\right)} e^{\left(-x\right)} + 6 \, {\left(4 \, a^{5} b - 17 \, a^{3} b^{3} + 4 \, a b^{5}\right)} e^{\left(-2 \, x\right)} + 2 \, {\left(4 \, a^{6} - 32 \, a^{4} b^{2} + 39 \, a^{2} b^{4}\right)} e^{\left(-3 \, x\right)} + 15 \, {\left(4 \, a^{3} b^{3} - a b^{5}\right)} e^{\left(-4 \, x\right)} - 3 \, {\left(4 \, a^{2} b^{4} - b^{6}\right)} e^{\left(-5 \, x\right)}\right)}}{a^{6} b^{4} + 3 \, a^{4} b^{6} + 3 \, a^{2} b^{8} + b^{10} + 6 \, {\left(a^{7} b^{3} + 3 \, a^{5} b^{5} + 3 \, a^{3} b^{7} + a b^{9}\right)} e^{\left(-x\right)} + 3 \, {\left(4 \, a^{8} b^{2} + 11 \, a^{6} b^{4} + 9 \, a^{4} b^{6} + a^{2} b^{8} - b^{10}\right)} e^{\left(-2 \, x\right)} + 4 \, {\left(2 \, a^{9} b + 3 \, a^{7} b^{3} - 3 \, a^{5} b^{5} - 7 \, a^{3} b^{7} - 3 \, a b^{9}\right)} e^{\left(-3 \, x\right)} - 3 \, {\left(4 \, a^{8} b^{2} + 11 \, a^{6} b^{4} + 9 \, a^{4} b^{6} + a^{2} b^{8} - b^{10}\right)} e^{\left(-4 \, x\right)} + 6 \, {\left(a^{7} b^{3} + 3 \, a^{5} b^{5} + 3 \, a^{3} b^{7} + a b^{9}\right)} e^{\left(-5 \, x\right)} - {\left(a^{6} b^{4} + 3 \, a^{4} b^{6} + 3 \, a^{2} b^{8} + b^{10}\right)} e^{\left(-6 \, x\right)}}\right)}"," ",0,"1/6*(3*(2*a^2 - 3*b^2)*a*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sqrt(a^2 + b^2)) - 2*(11*a^2*b^3 - 4*b^5 + 15*(4*a^3*b^2 - a*b^4)*e^(-x) + 6*(17*a^4*b - 6*a^2*b^3 + 2*b^5)*e^(-2*x) + 2*(22*a^5 - 41*a^3*b^2 + 12*a*b^4)*e^(-3*x) - 15*(2*a^4*b - 3*a^2*b^3)*e^(-4*x) + 3*(2*a^3*b^2 - 3*a*b^4)*e^(-5*x))/(a^6*b^3 + 3*a^4*b^5 + 3*a^2*b^7 + b^9 + 6*(a^7*b^2 + 3*a^5*b^4 + 3*a^3*b^6 + a*b^8)*e^(-x) + 3*(4*a^8*b + 11*a^6*b^3 + 9*a^4*b^5 + a^2*b^7 - b^9)*e^(-2*x) + 4*(2*a^9 + 3*a^7*b^2 - 3*a^5*b^4 - 7*a^3*b^6 - 3*a*b^8)*e^(-3*x) - 3*(4*a^8*b + 11*a^6*b^3 + 9*a^4*b^5 + a^2*b^7 - b^9)*e^(-4*x) + 6*(a^7*b^2 + 3*a^5*b^4 + 3*a^3*b^6 + a*b^8)*e^(-5*x) - (a^6*b^3 + 3*a^4*b^5 + 3*a^2*b^7 + b^9)*e^(-6*x)))*A + 1/6*B*(3*(4*a^2*b - b^3)*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sqrt(a^2 + b^2)) + 2*(2*a^3*b^3 - 13*a*b^5 + 3*(4*a^4*b^2 - 22*a^2*b^4 - b^6)*e^(-x) + 6*(4*a^5*b - 17*a^3*b^3 + 4*a*b^5)*e^(-2*x) + 2*(4*a^6 - 32*a^4*b^2 + 39*a^2*b^4)*e^(-3*x) + 15*(4*a^3*b^3 - a*b^5)*e^(-4*x) - 3*(4*a^2*b^4 - b^6)*e^(-5*x))/(a^6*b^4 + 3*a^4*b^6 + 3*a^2*b^8 + b^10 + 6*(a^7*b^3 + 3*a^5*b^5 + 3*a^3*b^7 + a*b^9)*e^(-x) + 3*(4*a^8*b^2 + 11*a^6*b^4 + 9*a^4*b^6 + a^2*b^8 - b^10)*e^(-2*x) + 4*(2*a^9*b + 3*a^7*b^3 - 3*a^5*b^5 - 7*a^3*b^7 - 3*a*b^9)*e^(-3*x) - 3*(4*a^8*b^2 + 11*a^6*b^4 + 9*a^4*b^6 + a^2*b^8 - b^10)*e^(-4*x) + 6*(a^7*b^3 + 3*a^5*b^5 + 3*a^3*b^7 + a*b^9)*e^(-5*x) - (a^6*b^4 + 3*a^4*b^6 + 3*a^2*b^8 + b^10)*e^(-6*x)))","B",0
133,1,128,0,0.411982," ","integrate((b*B/a+B*sinh(x))/(a+b*sinh(x)),x, algorithm=""maxima"")","-B {\left(\frac{a \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b} - \frac{x}{b}\right)} + \frac{B b \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a}"," ",0,"-B*(a*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b) - x/b) + B*b*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a)","B",0
134,1,128,0,0.406195," ","integrate((a*B/b+B*sinh(x))/(a+b*sinh(x)),x, algorithm=""maxima"")","-B {\left(\frac{a \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b} - \frac{x}{b}\right)} + \frac{B a \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b}"," ",0,"-B*(a*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b) - x/b) + B*a*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b)","B",0
135,1,230,0,0.421178," ","integrate((a-b*sinh(x))/(b+a*sinh(x))^2,x, algorithm=""maxima"")","-b {\left(\frac{a \log\left(\frac{a e^{\left(-x\right)} - b - \sqrt{a^{2} + b^{2}}}{a e^{\left(-x\right)} - b + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, {\left(b^{2} e^{\left(-x\right)} + a b\right)}}{a^{4} + a^{2} b^{2} + 2 \, {\left(a^{3} b + a b^{3}\right)} e^{\left(-x\right)} - {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(-2 \, x\right)}}\right)} + a {\left(\frac{b \log\left(\frac{a e^{\left(-x\right)} - b - \sqrt{a^{2} + b^{2}}}{a e^{\left(-x\right)} - b + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}}} - \frac{2 \, {\left(b e^{\left(-x\right)} + a\right)}}{a^{3} + a b^{2} + 2 \, {\left(a^{2} b + b^{3}\right)} e^{\left(-x\right)} - {\left(a^{3} + a b^{2}\right)} e^{\left(-2 \, x\right)}}\right)}"," ",0,"-b*(a*log((a*e^(-x) - b - sqrt(a^2 + b^2))/(a*e^(-x) - b + sqrt(a^2 + b^2)))/(a^2 + b^2)^(3/2) + 2*(b^2*e^(-x) + a*b)/(a^4 + a^2*b^2 + 2*(a^3*b + a*b^3)*e^(-x) - (a^4 + a^2*b^2)*e^(-2*x))) + a*(b*log((a*e^(-x) - b - sqrt(a^2 + b^2))/(a*e^(-x) - b + sqrt(a^2 + b^2)))/(a^2 + b^2)^(3/2) - 2*(b*e^(-x) + a)/(a^3 + a*b^2 + 2*(a^2*b + b^3)*e^(-x) - (a^3 + a*b^2)*e^(-2*x)))","B",0
136,1,34,0,0.407678," ","integrate((2-sinh(x))/(2+sinh(x)),x, algorithm=""maxima"")","\frac{4}{5} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - e^{\left(-x\right)} + 2}{\sqrt{5} + e^{\left(-x\right)} - 2}\right) - x"," ",0,"4/5*sqrt(5)*log(-(sqrt(5) - e^(-x) + 2)/(sqrt(5) + e^(-x) - 2)) - x","A",0
137,0,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+b*sinh(x))^(1/2),x, algorithm=""maxima"")","\int \frac{B \sinh\left(x\right) + A}{\sqrt{b \sinh\left(x\right) + a}}\,{d x}"," ",0,"integrate((B*sinh(x) + A)/sqrt(b*sinh(x) + a), x)","F",0
138,0,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+b*sinh(x))^(3/2),x, algorithm=""maxima"")","\int \frac{B \sinh\left(x\right) + A}{{\left(b \sinh\left(x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*sinh(x) + A)/(b*sinh(x) + a)^(3/2), x)","F",0
139,0,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+b*sinh(x))^(5/2),x, algorithm=""maxima"")","\int \frac{B \sinh\left(x\right) + A}{{\left(b \sinh\left(x\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*sinh(x) + A)/(b*sinh(x) + a)^(5/2), x)","F",0
140,1,53,0,0.421374," ","integrate((a*sinh(x)^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{160} \, a^{\frac{5}{2}} e^{\left(5 \, x\right)} + \frac{5}{96} \, a^{\frac{5}{2}} e^{\left(3 \, x\right)} - \frac{5}{16} \, a^{\frac{5}{2}} e^{\left(-x\right)} + \frac{5}{96} \, a^{\frac{5}{2}} e^{\left(-3 \, x\right)} - \frac{1}{160} \, a^{\frac{5}{2}} e^{\left(-5 \, x\right)} - \frac{5}{16} \, a^{\frac{5}{2}} e^{x}"," ",0,"-1/160*a^(5/2)*e^(5*x) + 5/96*a^(5/2)*e^(3*x) - 5/16*a^(5/2)*e^(-x) + 5/96*a^(5/2)*e^(-3*x) - 1/160*a^(5/2)*e^(-5*x) - 5/16*a^(5/2)*e^x","A",0
141,1,35,0,0.411790," ","integrate((a*sinh(x)^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{24} \, a^{\frac{3}{2}} e^{\left(3 \, x\right)} + \frac{3}{8} \, a^{\frac{3}{2}} e^{\left(-x\right)} - \frac{1}{24} \, a^{\frac{3}{2}} e^{\left(-3 \, x\right)} + \frac{3}{8} \, a^{\frac{3}{2}} e^{x}"," ",0,"-1/24*a^(3/2)*e^(3*x) + 3/8*a^(3/2)*e^(-x) - 1/24*a^(3/2)*e^(-3*x) + 3/8*a^(3/2)*e^x","A",0
142,1,17,0,0.412050," ","integrate((a*sinh(x)^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{a} e^{\left(-x\right)} - \frac{1}{2} \, \sqrt{a} e^{x}"," ",0,"-1/2*sqrt(a)*e^(-x) - 1/2*sqrt(a)*e^x","A",0
143,1,24,0,0.418471," ","integrate(1/(a*sinh(x)^2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(e^{\left(-x\right)} + 1\right)}{\sqrt{a}} - \frac{\log\left(e^{\left(-x\right)} - 1\right)}{\sqrt{a}}"," ",0,"log(e^(-x) + 1)/sqrt(a) - log(e^(-x) - 1)/sqrt(a)","A",0
144,1,62,0,0.416075," ","integrate(1/(a*sinh(x)^2)^(3/2),x, algorithm=""maxima"")","-\frac{e^{\left(-x\right)} + e^{\left(-3 \, x\right)}}{2 \, a^{\frac{3}{2}} e^{\left(-2 \, x\right)} - a^{\frac{3}{2}} e^{\left(-4 \, x\right)} - a^{\frac{3}{2}}} - \frac{\log\left(e^{\left(-x\right)} + 1\right)}{2 \, a^{\frac{3}{2}}} + \frac{\log\left(e^{\left(-x\right)} - 1\right)}{2 \, a^{\frac{3}{2}}}"," ",0,"-(e^(-x) + e^(-3*x))/(2*a^(3/2)*e^(-2*x) - a^(3/2)*e^(-4*x) - a^(3/2)) - 1/2*log(e^(-x) + 1)/a^(3/2) + 1/2*log(e^(-x) - 1)/a^(3/2)","A",0
145,1,96,0,0.421835," ","integrate(1/(a*sinh(x)^2)^(5/2),x, algorithm=""maxima"")","\frac{3 \, e^{\left(-x\right)} - 11 \, e^{\left(-3 \, x\right)} - 11 \, e^{\left(-5 \, x\right)} + 3 \, e^{\left(-7 \, x\right)}}{4 \, {\left(4 \, a^{\frac{5}{2}} e^{\left(-2 \, x\right)} - 6 \, a^{\frac{5}{2}} e^{\left(-4 \, x\right)} + 4 \, a^{\frac{5}{2}} e^{\left(-6 \, x\right)} - a^{\frac{5}{2}} e^{\left(-8 \, x\right)} - a^{\frac{5}{2}}\right)}} + \frac{3 \, \log\left(e^{\left(-x\right)} + 1\right)}{8 \, a^{\frac{5}{2}}} - \frac{3 \, \log\left(e^{\left(-x\right)} - 1\right)}{8 \, a^{\frac{5}{2}}}"," ",0,"1/4*(3*e^(-x) - 11*e^(-3*x) - 11*e^(-5*x) + 3*e^(-7*x))/(4*a^(5/2)*e^(-2*x) - 6*a^(5/2)*e^(-4*x) + 4*a^(5/2)*e^(-6*x) - a^(5/2)*e^(-8*x) - a^(5/2)) + 3/8*log(e^(-x) + 1)/a^(5/2) - 3/8*log(e^(-x) - 1)/a^(5/2)","A",0
146,0,0,0,0.000000," ","integrate((a*sinh(x)^3)^(5/2),x, algorithm=""maxima"")","\int \left(a \sinh\left(x\right)^{3}\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((a*sinh(x)^3)^(5/2), x)","F",0
147,0,0,0,0.000000," ","integrate((a*sinh(x)^3)^(3/2),x, algorithm=""maxima"")","\int \left(a \sinh\left(x\right)^{3}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a*sinh(x)^3)^(3/2), x)","F",0
148,0,0,0,0.000000," ","integrate((a*sinh(x)^3)^(1/2),x, algorithm=""maxima"")","\int \sqrt{a \sinh\left(x\right)^{3}}\,{d x}"," ",0,"integrate(sqrt(a*sinh(x)^3), x)","F",0
149,0,0,0,0.000000," ","integrate(1/(a*sinh(x)^3)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a \sinh\left(x\right)^{3}}}\,{d x}"," ",0,"integrate(1/sqrt(a*sinh(x)^3), x)","F",0
150,0,0,0,0.000000," ","integrate(1/(a*sinh(x)^3)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(a \sinh\left(x\right)^{3}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sinh(x)^3)^(-3/2), x)","F",0
151,0,0,0,0.000000," ","integrate(1/(a*sinh(x)^3)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\left(a \sinh\left(x\right)^{3}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((a*sinh(x)^3)^(-5/2), x)","F",0
152,1,100,0,0.425523," ","integrate((a*sinh(x)^4)^(5/2),x, algorithm=""maxima"")","-\frac{63}{256} \, a^{\frac{5}{2}} x - \frac{1}{20480} \, {\left(25 \, a^{\frac{5}{2}} e^{\left(-2 \, x\right)} - 150 \, a^{\frac{5}{2}} e^{\left(-4 \, x\right)} + 600 \, a^{\frac{5}{2}} e^{\left(-6 \, x\right)} - 2100 \, a^{\frac{5}{2}} e^{\left(-8 \, x\right)} + 2100 \, a^{\frac{5}{2}} e^{\left(-12 \, x\right)} - 600 \, a^{\frac{5}{2}} e^{\left(-14 \, x\right)} + 150 \, a^{\frac{5}{2}} e^{\left(-16 \, x\right)} - 25 \, a^{\frac{5}{2}} e^{\left(-18 \, x\right)} + 2 \, a^{\frac{5}{2}} e^{\left(-20 \, x\right)} - 2 \, a^{\frac{5}{2}}\right)} e^{\left(10 \, x\right)}"," ",0,"-63/256*a^(5/2)*x - 1/20480*(25*a^(5/2)*e^(-2*x) - 150*a^(5/2)*e^(-4*x) + 600*a^(5/2)*e^(-6*x) - 2100*a^(5/2)*e^(-8*x) + 2100*a^(5/2)*e^(-12*x) - 600*a^(5/2)*e^(-14*x) + 150*a^(5/2)*e^(-16*x) - 25*a^(5/2)*e^(-18*x) + 2*a^(5/2)*e^(-20*x) - 2*a^(5/2))*e^(10*x)","A",0
153,1,63,0,0.418595," ","integrate((a*sinh(x)^4)^(3/2),x, algorithm=""maxima"")","-\frac{5}{16} \, a^{\frac{3}{2}} x - \frac{1}{384} \, {\left(9 \, a^{\frac{3}{2}} e^{\left(-2 \, x\right)} - 45 \, a^{\frac{3}{2}} e^{\left(-4 \, x\right)} + 45 \, a^{\frac{3}{2}} e^{\left(-8 \, x\right)} - 9 \, a^{\frac{3}{2}} e^{\left(-10 \, x\right)} + a^{\frac{3}{2}} e^{\left(-12 \, x\right)} - a^{\frac{3}{2}}\right)} e^{\left(6 \, x\right)}"," ",0,"-5/16*a^(3/2)*x - 1/384*(9*a^(3/2)*e^(-2*x) - 45*a^(3/2)*e^(-4*x) + 45*a^(3/2)*e^(-8*x) - 9*a^(3/2)*e^(-10*x) + a^(3/2)*e^(-12*x) - a^(3/2))*e^(6*x)","A",0
154,1,27,0,0.415526," ","integrate((a*sinh(x)^4)^(1/2),x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(\sqrt{a} e^{\left(-4 \, x\right)} - \sqrt{a}\right)} e^{\left(2 \, x\right)} - \frac{1}{2} \, \sqrt{a} x"," ",0,"-1/8*(sqrt(a)*e^(-4*x) - sqrt(a))*e^(2*x) - 1/2*sqrt(a)*x","A",0
155,1,18,0,0.430380," ","integrate(1/(a*sinh(x)^4)^(1/2),x, algorithm=""maxima"")","\frac{2}{\sqrt{a} e^{\left(-2 \, x\right)} - \sqrt{a}}"," ",0,"2/(sqrt(a)*e^(-2*x) - sqrt(a))","A",0
156,1,171,0,0.411435," ","integrate(1/(a*sinh(x)^4)^(3/2),x, algorithm=""maxima"")","-\frac{16 \, e^{\left(-2 \, x\right)}}{3 \, {\left(5 \, a^{\frac{3}{2}} e^{\left(-2 \, x\right)} - 10 \, a^{\frac{3}{2}} e^{\left(-4 \, x\right)} + 10 \, a^{\frac{3}{2}} e^{\left(-6 \, x\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-8 \, x\right)} + a^{\frac{3}{2}} e^{\left(-10 \, x\right)} - a^{\frac{3}{2}}\right)}} + \frac{32 \, e^{\left(-4 \, x\right)}}{3 \, {\left(5 \, a^{\frac{3}{2}} e^{\left(-2 \, x\right)} - 10 \, a^{\frac{3}{2}} e^{\left(-4 \, x\right)} + 10 \, a^{\frac{3}{2}} e^{\left(-6 \, x\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-8 \, x\right)} + a^{\frac{3}{2}} e^{\left(-10 \, x\right)} - a^{\frac{3}{2}}\right)}} + \frac{16}{15 \, {\left(5 \, a^{\frac{3}{2}} e^{\left(-2 \, x\right)} - 10 \, a^{\frac{3}{2}} e^{\left(-4 \, x\right)} + 10 \, a^{\frac{3}{2}} e^{\left(-6 \, x\right)} - 5 \, a^{\frac{3}{2}} e^{\left(-8 \, x\right)} + a^{\frac{3}{2}} e^{\left(-10 \, x\right)} - a^{\frac{3}{2}}\right)}}"," ",0,"-16/3*e^(-2*x)/(5*a^(3/2)*e^(-2*x) - 10*a^(3/2)*e^(-4*x) + 10*a^(3/2)*e^(-6*x) - 5*a^(3/2)*e^(-8*x) + a^(3/2)*e^(-10*x) - a^(3/2)) + 32/3*e^(-4*x)/(5*a^(3/2)*e^(-2*x) - 10*a^(3/2)*e^(-4*x) + 10*a^(3/2)*e^(-6*x) - 5*a^(3/2)*e^(-8*x) + a^(3/2)*e^(-10*x) - a^(3/2)) + 16/15/(5*a^(3/2)*e^(-2*x) - 10*a^(3/2)*e^(-4*x) + 10*a^(3/2)*e^(-6*x) - 5*a^(3/2)*e^(-8*x) + a^(3/2)*e^(-10*x) - a^(3/2))","B",0
157,1,467,0,0.424230," ","integrate(1/(a*sinh(x)^4)^(5/2),x, algorithm=""maxima"")","-\frac{256 \, e^{\left(-2 \, x\right)}}{35 \, {\left(9 \, a^{\frac{5}{2}} e^{\left(-2 \, x\right)} - 36 \, a^{\frac{5}{2}} e^{\left(-4 \, x\right)} + 84 \, a^{\frac{5}{2}} e^{\left(-6 \, x\right)} - 126 \, a^{\frac{5}{2}} e^{\left(-8 \, x\right)} + 126 \, a^{\frac{5}{2}} e^{\left(-10 \, x\right)} - 84 \, a^{\frac{5}{2}} e^{\left(-12 \, x\right)} + 36 \, a^{\frac{5}{2}} e^{\left(-14 \, x\right)} - 9 \, a^{\frac{5}{2}} e^{\left(-16 \, x\right)} + a^{\frac{5}{2}} e^{\left(-18 \, x\right)} - a^{\frac{5}{2}}\right)}} + \frac{1024 \, e^{\left(-4 \, x\right)}}{35 \, {\left(9 \, a^{\frac{5}{2}} e^{\left(-2 \, x\right)} - 36 \, a^{\frac{5}{2}} e^{\left(-4 \, x\right)} + 84 \, a^{\frac{5}{2}} e^{\left(-6 \, x\right)} - 126 \, a^{\frac{5}{2}} e^{\left(-8 \, x\right)} + 126 \, a^{\frac{5}{2}} e^{\left(-10 \, x\right)} - 84 \, a^{\frac{5}{2}} e^{\left(-12 \, x\right)} + 36 \, a^{\frac{5}{2}} e^{\left(-14 \, x\right)} - 9 \, a^{\frac{5}{2}} e^{\left(-16 \, x\right)} + a^{\frac{5}{2}} e^{\left(-18 \, x\right)} - a^{\frac{5}{2}}\right)}} - \frac{1024 \, e^{\left(-6 \, x\right)}}{15 \, {\left(9 \, a^{\frac{5}{2}} e^{\left(-2 \, x\right)} - 36 \, a^{\frac{5}{2}} e^{\left(-4 \, x\right)} + 84 \, a^{\frac{5}{2}} e^{\left(-6 \, x\right)} - 126 \, a^{\frac{5}{2}} e^{\left(-8 \, x\right)} + 126 \, a^{\frac{5}{2}} e^{\left(-10 \, x\right)} - 84 \, a^{\frac{5}{2}} e^{\left(-12 \, x\right)} + 36 \, a^{\frac{5}{2}} e^{\left(-14 \, x\right)} - 9 \, a^{\frac{5}{2}} e^{\left(-16 \, x\right)} + a^{\frac{5}{2}} e^{\left(-18 \, x\right)} - a^{\frac{5}{2}}\right)}} + \frac{512 \, e^{\left(-8 \, x\right)}}{5 \, {\left(9 \, a^{\frac{5}{2}} e^{\left(-2 \, x\right)} - 36 \, a^{\frac{5}{2}} e^{\left(-4 \, x\right)} + 84 \, a^{\frac{5}{2}} e^{\left(-6 \, x\right)} - 126 \, a^{\frac{5}{2}} e^{\left(-8 \, x\right)} + 126 \, a^{\frac{5}{2}} e^{\left(-10 \, x\right)} - 84 \, a^{\frac{5}{2}} e^{\left(-12 \, x\right)} + 36 \, a^{\frac{5}{2}} e^{\left(-14 \, x\right)} - 9 \, a^{\frac{5}{2}} e^{\left(-16 \, x\right)} + a^{\frac{5}{2}} e^{\left(-18 \, x\right)} - a^{\frac{5}{2}}\right)}} + \frac{256}{315 \, {\left(9 \, a^{\frac{5}{2}} e^{\left(-2 \, x\right)} - 36 \, a^{\frac{5}{2}} e^{\left(-4 \, x\right)} + 84 \, a^{\frac{5}{2}} e^{\left(-6 \, x\right)} - 126 \, a^{\frac{5}{2}} e^{\left(-8 \, x\right)} + 126 \, a^{\frac{5}{2}} e^{\left(-10 \, x\right)} - 84 \, a^{\frac{5}{2}} e^{\left(-12 \, x\right)} + 36 \, a^{\frac{5}{2}} e^{\left(-14 \, x\right)} - 9 \, a^{\frac{5}{2}} e^{\left(-16 \, x\right)} + a^{\frac{5}{2}} e^{\left(-18 \, x\right)} - a^{\frac{5}{2}}\right)}}"," ",0,"-256/35*e^(-2*x)/(9*a^(5/2)*e^(-2*x) - 36*a^(5/2)*e^(-4*x) + 84*a^(5/2)*e^(-6*x) - 126*a^(5/2)*e^(-8*x) + 126*a^(5/2)*e^(-10*x) - 84*a^(5/2)*e^(-12*x) + 36*a^(5/2)*e^(-14*x) - 9*a^(5/2)*e^(-16*x) + a^(5/2)*e^(-18*x) - a^(5/2)) + 1024/35*e^(-4*x)/(9*a^(5/2)*e^(-2*x) - 36*a^(5/2)*e^(-4*x) + 84*a^(5/2)*e^(-6*x) - 126*a^(5/2)*e^(-8*x) + 126*a^(5/2)*e^(-10*x) - 84*a^(5/2)*e^(-12*x) + 36*a^(5/2)*e^(-14*x) - 9*a^(5/2)*e^(-16*x) + a^(5/2)*e^(-18*x) - a^(5/2)) - 1024/15*e^(-6*x)/(9*a^(5/2)*e^(-2*x) - 36*a^(5/2)*e^(-4*x) + 84*a^(5/2)*e^(-6*x) - 126*a^(5/2)*e^(-8*x) + 126*a^(5/2)*e^(-10*x) - 84*a^(5/2)*e^(-12*x) + 36*a^(5/2)*e^(-14*x) - 9*a^(5/2)*e^(-16*x) + a^(5/2)*e^(-18*x) - a^(5/2)) + 512/5*e^(-8*x)/(9*a^(5/2)*e^(-2*x) - 36*a^(5/2)*e^(-4*x) + 84*a^(5/2)*e^(-6*x) - 126*a^(5/2)*e^(-8*x) + 126*a^(5/2)*e^(-10*x) - 84*a^(5/2)*e^(-12*x) + 36*a^(5/2)*e^(-14*x) - 9*a^(5/2)*e^(-16*x) + a^(5/2)*e^(-18*x) - a^(5/2)) + 256/315/(9*a^(5/2)*e^(-2*x) - 36*a^(5/2)*e^(-4*x) + 84*a^(5/2)*e^(-6*x) - 126*a^(5/2)*e^(-8*x) + 126*a^(5/2)*e^(-10*x) - 84*a^(5/2)*e^(-12*x) + 36*a^(5/2)*e^(-14*x) - 9*a^(5/2)*e^(-16*x) + a^(5/2)*e^(-18*x) - a^(5/2))","B",0
158,1,90,0,0.343597," ","integrate(cosh(x)^8/(I+sinh(x)),x, algorithm=""maxima"")","-\frac{1}{5376} \, {\left(14 i \, e^{\left(-x\right)} - 42 \, e^{\left(-2 \, x\right)} + 126 i \, e^{\left(-3 \, x\right)} - 126 \, e^{\left(-4 \, x\right)} + 630 i \, e^{\left(-5 \, x\right)} - 210 \, e^{\left(-6 \, x\right)} - 6\right)} e^{\left(7 \, x\right)} - \frac{5}{16} i \, x + \frac{5}{128} \, e^{\left(-x\right)} + \frac{15}{128} i \, e^{\left(-2 \, x\right)} + \frac{3}{128} \, e^{\left(-3 \, x\right)} + \frac{3}{128} i \, e^{\left(-4 \, x\right)} + \frac{1}{128} \, e^{\left(-5 \, x\right)} + \frac{1}{384} i \, e^{\left(-6 \, x\right)} + \frac{1}{896} \, e^{\left(-7 \, x\right)}"," ",0,"-1/5376*(14*I*e^(-x) - 42*e^(-2*x) + 126*I*e^(-3*x) - 126*e^(-4*x) + 630*I*e^(-5*x) - 210*e^(-6*x) - 6)*e^(7*x) - 5/16*I*x + 5/128*e^(-x) + 15/128*I*e^(-2*x) + 3/128*e^(-3*x) + 3/128*I*e^(-4*x) + 1/128*e^(-5*x) + 1/384*I*e^(-6*x) + 1/896*e^(-7*x)","B",0
159,1,75,0,0.333655," ","integrate(cosh(x)^7/(I+sinh(x)),x, algorithm=""maxima"")","-\frac{1}{1920} \, {\left(12 i \, e^{\left(-x\right)} - 30 \, e^{\left(-2 \, x\right)} + 100 i \, e^{\left(-3 \, x\right)} - 75 \, e^{\left(-4 \, x\right)} + 600 i \, e^{\left(-5 \, x\right)} - 5\right)} e^{\left(6 \, x\right)} + \frac{5}{16} i \, e^{\left(-x\right)} + \frac{5}{128} \, e^{\left(-2 \, x\right)} + \frac{5}{96} i \, e^{\left(-3 \, x\right)} + \frac{1}{64} \, e^{\left(-4 \, x\right)} + \frac{1}{160} i \, e^{\left(-5 \, x\right)} + \frac{1}{384} \, e^{\left(-6 \, x\right)}"," ",0,"-1/1920*(12*I*e^(-x) - 30*e^(-2*x) + 100*I*e^(-3*x) - 75*e^(-4*x) + 600*I*e^(-5*x) - 5)*e^(6*x) + 5/16*I*e^(-x) + 5/128*e^(-2*x) + 5/96*I*e^(-3*x) + 1/64*e^(-4*x) + 1/160*I*e^(-5*x) + 1/384*e^(-6*x)","B",0
160,1,66,0,0.317766," ","integrate(cosh(x)^6/(I+sinh(x)),x, algorithm=""maxima"")","-\frac{1}{320} \, {\left(5 i \, e^{\left(-x\right)} - 10 \, e^{\left(-2 \, x\right)} + 40 i \, e^{\left(-3 \, x\right)} - 20 \, e^{\left(-4 \, x\right)} - 2\right)} e^{\left(5 \, x\right)} - \frac{3}{8} i \, x + \frac{1}{16} \, e^{\left(-x\right)} + \frac{1}{8} i \, e^{\left(-2 \, x\right)} + \frac{1}{32} \, e^{\left(-3 \, x\right)} + \frac{1}{64} i \, e^{\left(-4 \, x\right)} + \frac{1}{160} \, e^{\left(-5 \, x\right)}"," ",0,"-1/320*(5*I*e^(-x) - 10*e^(-2*x) + 40*I*e^(-3*x) - 20*e^(-4*x) - 2)*e^(5*x) - 3/8*I*x + 1/16*e^(-x) + 1/8*I*e^(-2*x) + 1/32*e^(-3*x) + 1/64*I*e^(-4*x) + 1/160*e^(-5*x)","B",0
161,1,51,0,0.312951," ","integrate(cosh(x)^5/(I+sinh(x)),x, algorithm=""maxima"")","-\frac{1}{192} \, {\left(8 i \, e^{\left(-x\right)} - 12 \, e^{\left(-2 \, x\right)} + 72 i \, e^{\left(-3 \, x\right)} - 3\right)} e^{\left(4 \, x\right)} + \frac{3}{8} i \, e^{\left(-x\right)} + \frac{1}{16} \, e^{\left(-2 \, x\right)} + \frac{1}{24} i \, e^{\left(-3 \, x\right)} + \frac{1}{64} \, e^{\left(-4 \, x\right)}"," ",0,"-1/192*(8*I*e^(-x) - 12*e^(-2*x) + 72*I*e^(-3*x) - 3)*e^(4*x) + 3/8*I*e^(-x) + 1/16*e^(-2*x) + 1/24*I*e^(-3*x) + 1/64*e^(-4*x)","B",0
162,1,42,0,0.312313," ","integrate(cosh(x)^4/(I+sinh(x)),x, algorithm=""maxima"")","-\frac{1}{48} \, {\left(6 i \, e^{\left(-x\right)} - 6 \, e^{\left(-2 \, x\right)} - 2\right)} e^{\left(3 \, x\right)} - \frac{1}{2} i \, x + \frac{1}{8} \, e^{\left(-x\right)} + \frac{1}{8} i \, e^{\left(-2 \, x\right)} + \frac{1}{24} \, e^{\left(-3 \, x\right)}"," ",0,"-1/48*(6*I*e^(-x) - 6*e^(-2*x) - 2)*e^(3*x) - 1/2*I*x + 1/8*e^(-x) + 1/8*I*e^(-2*x) + 1/24*e^(-3*x)","B",0
163,1,27,0,0.310460," ","integrate(cosh(x)^3/(I+sinh(x)),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(-4 i \, e^{\left(-x\right)} + 1\right)} e^{\left(2 \, x\right)} + \frac{1}{2} i \, e^{\left(-x\right)} + \frac{1}{8} \, e^{\left(-2 \, x\right)}"," ",0,"1/8*(-4*I*e^(-x) + 1)*e^(2*x) + 1/2*I*e^(-x) + 1/8*e^(-2*x)","B",0
164,1,14,0,0.313874," ","integrate(cosh(x)^2/(I+sinh(x)),x, algorithm=""maxima"")","-i \, x + \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-I*x + 1/2*e^(-x) + 1/2*e^x","B",0
165,1,5,0,0.322396," ","integrate(cosh(x)/(I+sinh(x)),x, algorithm=""maxima"")","\log\left(\sinh\left(x\right) + i\right)"," ",0,"log(sinh(x) + I)","A",0
166,1,41,0,0.313888," ","integrate(sech(x)/(I+sinh(x)),x, algorithm=""maxima"")","\frac{2 i \, e^{\left(-x\right)}}{-4 i \, e^{\left(-x\right)} + 2 \, e^{\left(-2 \, x\right)} - 2} - \frac{1}{2} \, \log\left(e^{\left(-x\right)} + i\right) + \frac{1}{2} \, \log\left(e^{\left(-x\right)} - i\right)"," ",0,"2*I*e^(-x)/(-4*I*e^(-x) + 2*e^(-2*x) - 2) - 1/2*log(e^(-x) + I) + 1/2*log(e^(-x) - I)","B",0
167,1,53,0,0.317530," ","integrate(sech(x)^2/(I+sinh(x)),x, algorithm=""maxima"")","-\frac{8 \, e^{\left(-x\right)}}{-6 i \, e^{\left(-x\right)} - 6 i \, e^{\left(-3 \, x\right)} + 3 \, e^{\left(-4 \, x\right)} - 3} + \frac{4 i}{-6 i \, e^{\left(-x\right)} - 6 i \, e^{\left(-3 \, x\right)} + 3 \, e^{\left(-4 \, x\right)} - 3}"," ",0,"-8*e^(-x)/(-6*I*e^(-x) - 6*I*e^(-3*x) + 3*e^(-4*x) - 3) + 4*I/(-6*I*e^(-x) - 6*I*e^(-3*x) + 3*e^(-4*x) - 3)","B",0
168,1,92,0,0.319835," ","integrate(sech(x)^3/(I+sinh(x)),x, algorithm=""maxima"")","\frac{8 \, {\left(3 i \, e^{\left(-x\right)} - 6 \, e^{\left(-2 \, x\right)} + 2 i \, e^{\left(-3 \, x\right)} + 6 \, e^{\left(-4 \, x\right)} + 3 i \, e^{\left(-5 \, x\right)}\right)}}{-64 i \, e^{\left(-x\right)} - 32 \, e^{\left(-2 \, x\right)} - 128 i \, e^{\left(-3 \, x\right)} + 32 \, e^{\left(-4 \, x\right)} - 64 i \, e^{\left(-5 \, x\right)} + 32 \, e^{\left(-6 \, x\right)} - 32} - \frac{3}{8} \, \log\left(e^{\left(-x\right)} + i\right) + \frac{3}{8} \, \log\left(e^{\left(-x\right)} - i\right)"," ",0,"8*(3*I*e^(-x) - 6*e^(-2*x) + 2*I*e^(-3*x) + 6*e^(-4*x) + 3*I*e^(-5*x))/(-64*I*e^(-x) - 32*e^(-2*x) - 128*I*e^(-3*x) + 32*e^(-4*x) - 64*I*e^(-5*x) + 32*e^(-6*x) - 32) - 3/8*log(e^(-x) + I) + 3/8*log(e^(-x) - I)","B",0
169,1,205,0,0.311139," ","integrate(sech(x)^4/(I+sinh(x)),x, algorithm=""maxima"")","-\frac{32 \, e^{\left(-x\right)}}{-30 i \, e^{\left(-x\right)} - 30 \, e^{\left(-2 \, x\right)} - 90 i \, e^{\left(-3 \, x\right)} - 90 i \, e^{\left(-5 \, x\right)} + 30 \, e^{\left(-6 \, x\right)} - 30 i \, e^{\left(-7 \, x\right)} + 15 \, e^{\left(-8 \, x\right)} - 15} + \frac{32 i \, e^{\left(-2 \, x\right)}}{-30 i \, e^{\left(-x\right)} - 30 \, e^{\left(-2 \, x\right)} - 90 i \, e^{\left(-3 \, x\right)} - 90 i \, e^{\left(-5 \, x\right)} + 30 \, e^{\left(-6 \, x\right)} - 30 i \, e^{\left(-7 \, x\right)} + 15 \, e^{\left(-8 \, x\right)} - 15} - \frac{96 \, e^{\left(-3 \, x\right)}}{-30 i \, e^{\left(-x\right)} - 30 \, e^{\left(-2 \, x\right)} - 90 i \, e^{\left(-3 \, x\right)} - 90 i \, e^{\left(-5 \, x\right)} + 30 \, e^{\left(-6 \, x\right)} - 30 i \, e^{\left(-7 \, x\right)} + 15 \, e^{\left(-8 \, x\right)} - 15} + \frac{16 i}{-30 i \, e^{\left(-x\right)} - 30 \, e^{\left(-2 \, x\right)} - 90 i \, e^{\left(-3 \, x\right)} - 90 i \, e^{\left(-5 \, x\right)} + 30 \, e^{\left(-6 \, x\right)} - 30 i \, e^{\left(-7 \, x\right)} + 15 \, e^{\left(-8 \, x\right)} - 15}"," ",0,"-32*e^(-x)/(-30*I*e^(-x) - 30*e^(-2*x) - 90*I*e^(-3*x) - 90*I*e^(-5*x) + 30*e^(-6*x) - 30*I*e^(-7*x) + 15*e^(-8*x) - 15) + 32*I*e^(-2*x)/(-30*I*e^(-x) - 30*e^(-2*x) - 90*I*e^(-3*x) - 90*I*e^(-5*x) + 30*e^(-6*x) - 30*I*e^(-7*x) + 15*e^(-8*x) - 15) - 96*e^(-3*x)/(-30*I*e^(-x) - 30*e^(-2*x) - 90*I*e^(-3*x) - 90*I*e^(-5*x) + 30*e^(-6*x) - 30*I*e^(-7*x) + 15*e^(-8*x) - 15) + 16*I/(-30*I*e^(-x) - 30*e^(-2*x) - 90*I*e^(-3*x) - 90*I*e^(-5*x) + 30*e^(-6*x) - 30*I*e^(-7*x) + 15*e^(-8*x) - 15)","B",0
170,1,140,0,0.356225," ","integrate(sech(x)^5/(I+sinh(x)),x, algorithm=""maxima"")","\frac{32 \, {\left(15 i \, e^{\left(-x\right)} - 30 \, e^{\left(-2 \, x\right)} + 40 i \, e^{\left(-3 \, x\right)} - 110 \, e^{\left(-4 \, x\right)} + 18 i \, e^{\left(-5 \, x\right)} + 110 \, e^{\left(-6 \, x\right)} + 40 i \, e^{\left(-7 \, x\right)} + 30 \, e^{\left(-8 \, x\right)} + 15 i \, e^{\left(-9 \, x\right)}\right)}}{-1536 i \, e^{\left(-x\right)} - 2304 \, e^{\left(-2 \, x\right)} - 6144 i \, e^{\left(-3 \, x\right)} - 1536 \, e^{\left(-4 \, x\right)} - 9216 i \, e^{\left(-5 \, x\right)} + 1536 \, e^{\left(-6 \, x\right)} - 6144 i \, e^{\left(-7 \, x\right)} + 2304 \, e^{\left(-8 \, x\right)} - 1536 i \, e^{\left(-9 \, x\right)} + 768 \, e^{\left(-10 \, x\right)} - 768} - \frac{5}{16} \, \log\left(e^{\left(-x\right)} + i\right) + \frac{5}{16} \, \log\left(e^{\left(-x\right)} - i\right)"," ",0,"32*(15*I*e^(-x) - 30*e^(-2*x) + 40*I*e^(-3*x) - 110*e^(-4*x) + 18*I*e^(-5*x) + 110*e^(-6*x) + 40*I*e^(-7*x) + 30*e^(-8*x) + 15*I*e^(-9*x))/(-1536*I*e^(-x) - 2304*e^(-2*x) - 6144*I*e^(-3*x) - 1536*e^(-4*x) - 9216*I*e^(-5*x) + 1536*e^(-6*x) - 6144*I*e^(-7*x) + 2304*e^(-8*x) - 1536*I*e^(-9*x) + 768*e^(-10*x) - 768) - 5/16*log(e^(-x) + I) + 5/16*log(e^(-x) - I)","B",0
171,1,54,0,0.347752," ","integrate(cosh(x)^6/(I+sinh(x))^2,x, algorithm=""maxima"")","-\frac{1}{192} \, {\left(16 i \, e^{\left(-x\right)} + 24 \, e^{\left(-2 \, x\right)} + 48 i \, e^{\left(-3 \, x\right)} - 3\right)} e^{\left(4 \, x\right)} - \frac{5}{8} \, x - \frac{1}{4} i \, e^{\left(-x\right)} + \frac{1}{8} \, e^{\left(-2 \, x\right)} - \frac{1}{12} i \, e^{\left(-3 \, x\right)} - \frac{1}{64} \, e^{\left(-4 \, x\right)}"," ",0,"-1/192*(16*I*e^(-x) + 24*e^(-2*x) + 48*I*e^(-3*x) - 3)*e^(4*x) - 5/8*x - 1/4*I*e^(-x) + 1/8*e^(-2*x) - 1/12*I*e^(-3*x) - 1/64*e^(-4*x)","A",0
172,1,39,0,0.326678," ","integrate(cosh(x)^5/(I+sinh(x))^2,x, algorithm=""maxima"")","-\frac{1}{96} \, {\left(24 i \, e^{\left(-x\right)} + 60 \, e^{\left(-2 \, x\right)} - 4\right)} e^{\left(3 \, x\right)} + \frac{5}{8} \, e^{\left(-x\right)} - \frac{1}{4} i \, e^{\left(-2 \, x\right)} - \frac{1}{24} \, e^{\left(-3 \, x\right)}"," ",0,"-1/96*(24*I*e^(-x) + 60*e^(-2*x) - 4)*e^(3*x) + 5/8*e^(-x) - 1/4*I*e^(-2*x) - 1/24*e^(-3*x)","B",0
173,1,30,0,0.331967," ","integrate(cosh(x)^4/(I+sinh(x))^2,x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(8 i \, e^{\left(-x\right)} - 1\right)} e^{\left(2 \, x\right)} - \frac{3}{2} \, x - i \, e^{\left(-x\right)} - \frac{1}{8} \, e^{\left(-2 \, x\right)}"," ",0,"-1/8*(8*I*e^(-x) - 1)*e^(2*x) - 3/2*x - I*e^(-x) - 1/8*e^(-2*x)","A",0
174,1,23,0,0.319531," ","integrate(cosh(x)^3/(I+sinh(x))^2,x, algorithm=""maxima"")","-2 i \, x - \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x} - 4 i \, \log\left(e^{\left(-x\right)} - i\right)"," ",0,"-2*I*x - 1/2*e^(-x) + 1/2*e^x - 4*I*log(e^(-x) - I)","B",0
175,1,12,0,0.323726," ","integrate(cosh(x)^2/(I+sinh(x))^2,x, algorithm=""maxima"")","x + \frac{4 i}{e^{\left(-x\right)} - i}"," ",0,"x + 4*I/(e^(-x) - I)","A",0
176,1,8,0,0.314203," ","integrate(cosh(x)/(I+sinh(x))^2,x, algorithm=""maxima"")","-\frac{1}{\sinh\left(x\right) + i}"," ",0,"-1/(sinh(x) + I)","A",0
177,1,70,0,0.345418," ","integrate(sech(x)/(I+sinh(x))^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(e^{\left(-x\right)} + 4 i \, e^{\left(-2 \, x\right)} - e^{\left(-3 \, x\right)}\right)}}{16 i \, e^{\left(-x\right)} - 24 \, e^{\left(-2 \, x\right)} - 16 i \, e^{\left(-3 \, x\right)} + 4 \, e^{\left(-4 \, x\right)} + 4} - \frac{1}{4} i \, \log\left(i \, e^{\left(-x\right)} + 1\right) + \frac{1}{4} i \, \log\left(i \, e^{\left(-x\right)} - 1\right)"," ",0,"-2*(e^(-x) + 4*I*e^(-2*x) - e^(-3*x))/(16*I*e^(-x) - 24*e^(-2*x) - 16*I*e^(-3*x) + 4*e^(-4*x) + 4) - 1/4*I*log(I*e^(-x) + 1) + 1/4*I*log(I*e^(-x) - 1)","B",0
178,1,117,0,0.323046," ","integrate(sech(x)^2/(I+sinh(x))^2,x, algorithm=""maxima"")","-\frac{16 i \, e^{\left(-x\right)}}{20 i \, e^{\left(-x\right)} - 25 \, e^{\left(-2 \, x\right)} - 25 \, e^{\left(-4 \, x\right)} - 20 i \, e^{\left(-5 \, x\right)} + 5 \, e^{\left(-6 \, x\right)} + 5} + \frac{20 \, e^{\left(-2 \, x\right)}}{20 i \, e^{\left(-x\right)} - 25 \, e^{\left(-2 \, x\right)} - 25 \, e^{\left(-4 \, x\right)} - 20 i \, e^{\left(-5 \, x\right)} + 5 \, e^{\left(-6 \, x\right)} + 5} - \frac{4}{20 i \, e^{\left(-x\right)} - 25 \, e^{\left(-2 \, x\right)} - 25 \, e^{\left(-4 \, x\right)} - 20 i \, e^{\left(-5 \, x\right)} + 5 \, e^{\left(-6 \, x\right)} + 5}"," ",0,"-16*I*e^(-x)/(20*I*e^(-x) - 25*e^(-2*x) - 25*e^(-4*x) - 20*I*e^(-5*x) + 5*e^(-6*x) + 5) + 20*e^(-2*x)/(20*I*e^(-x) - 25*e^(-2*x) - 25*e^(-4*x) - 20*I*e^(-5*x) + 5*e^(-6*x) + 5) - 4/(20*I*e^(-x) - 25*e^(-2*x) - 25*e^(-4*x) - 20*I*e^(-5*x) + 5*e^(-6*x) + 5)","B",0
179,1,120,0,0.338440," ","integrate(sech(x)^3/(I+sinh(x))^2,x, algorithm=""maxima"")","-\frac{8 \, {\left(3 \, e^{\left(-x\right)} + 12 i \, e^{\left(-2 \, x\right)} - 13 \, e^{\left(-3 \, x\right)} + 8 i \, e^{\left(-4 \, x\right)} + 13 \, e^{\left(-5 \, x\right)} + 12 i \, e^{\left(-6 \, x\right)} - 3 \, e^{\left(-7 \, x\right)}\right)}}{192 i \, e^{\left(-x\right)} - 192 \, e^{\left(-2 \, x\right)} + 192 i \, e^{\left(-3 \, x\right)} - 480 \, e^{\left(-4 \, x\right)} - 192 i \, e^{\left(-5 \, x\right)} - 192 \, e^{\left(-6 \, x\right)} - 192 i \, e^{\left(-7 \, x\right)} + 48 \, e^{\left(-8 \, x\right)} + 48} - \frac{1}{4} i \, \log\left(i \, e^{\left(-x\right)} + 1\right) + \frac{1}{4} i \, \log\left(i \, e^{\left(-x\right)} - 1\right)"," ",0,"-8*(3*e^(-x) + 12*I*e^(-2*x) - 13*e^(-3*x) + 8*I*e^(-4*x) + 13*e^(-5*x) + 12*I*e^(-6*x) - 3*e^(-7*x))/(192*I*e^(-x) - 192*e^(-2*x) + 192*I*e^(-3*x) - 480*e^(-4*x) - 192*I*e^(-5*x) - 192*e^(-6*x) - 192*I*e^(-7*x) + 48*e^(-8*x) + 48) - 1/4*I*log(I*e^(-x) + 1) + 1/4*I*log(I*e^(-x) - 1)","B",0
180,1,317,0,0.337870," ","integrate(sech(x)^4/(I+sinh(x))^2,x, algorithm=""maxima"")","-\frac{64 i \, e^{\left(-x\right)}}{84 i \, e^{\left(-x\right)} - 63 \, e^{\left(-2 \, x\right)} + 168 i \, e^{\left(-3 \, x\right)} - 294 \, e^{\left(-4 \, x\right)} - 294 \, e^{\left(-6 \, x\right)} - 168 i \, e^{\left(-7 \, x\right)} - 63 \, e^{\left(-8 \, x\right)} - 84 i \, e^{\left(-9 \, x\right)} + 21 \, e^{\left(-10 \, x\right)} + 21} + \frac{48 \, e^{\left(-2 \, x\right)}}{84 i \, e^{\left(-x\right)} - 63 \, e^{\left(-2 \, x\right)} + 168 i \, e^{\left(-3 \, x\right)} - 294 \, e^{\left(-4 \, x\right)} - 294 \, e^{\left(-6 \, x\right)} - 168 i \, e^{\left(-7 \, x\right)} - 63 \, e^{\left(-8 \, x\right)} - 84 i \, e^{\left(-9 \, x\right)} + 21 \, e^{\left(-10 \, x\right)} + 21} - \frac{128 i \, e^{\left(-3 \, x\right)}}{84 i \, e^{\left(-x\right)} - 63 \, e^{\left(-2 \, x\right)} + 168 i \, e^{\left(-3 \, x\right)} - 294 \, e^{\left(-4 \, x\right)} - 294 \, e^{\left(-6 \, x\right)} - 168 i \, e^{\left(-7 \, x\right)} - 63 \, e^{\left(-8 \, x\right)} - 84 i \, e^{\left(-9 \, x\right)} + 21 \, e^{\left(-10 \, x\right)} + 21} + \frac{224 \, e^{\left(-4 \, x\right)}}{84 i \, e^{\left(-x\right)} - 63 \, e^{\left(-2 \, x\right)} + 168 i \, e^{\left(-3 \, x\right)} - 294 \, e^{\left(-4 \, x\right)} - 294 \, e^{\left(-6 \, x\right)} - 168 i \, e^{\left(-7 \, x\right)} - 63 \, e^{\left(-8 \, x\right)} - 84 i \, e^{\left(-9 \, x\right)} + 21 \, e^{\left(-10 \, x\right)} + 21} - \frac{16}{84 i \, e^{\left(-x\right)} - 63 \, e^{\left(-2 \, x\right)} + 168 i \, e^{\left(-3 \, x\right)} - 294 \, e^{\left(-4 \, x\right)} - 294 \, e^{\left(-6 \, x\right)} - 168 i \, e^{\left(-7 \, x\right)} - 63 \, e^{\left(-8 \, x\right)} - 84 i \, e^{\left(-9 \, x\right)} + 21 \, e^{\left(-10 \, x\right)} + 21}"," ",0,"-64*I*e^(-x)/(84*I*e^(-x) - 63*e^(-2*x) + 168*I*e^(-3*x) - 294*e^(-4*x) - 294*e^(-6*x) - 168*I*e^(-7*x) - 63*e^(-8*x) - 84*I*e^(-9*x) + 21*e^(-10*x) + 21) + 48*e^(-2*x)/(84*I*e^(-x) - 63*e^(-2*x) + 168*I*e^(-3*x) - 294*e^(-4*x) - 294*e^(-6*x) - 168*I*e^(-7*x) - 63*e^(-8*x) - 84*I*e^(-9*x) + 21*e^(-10*x) + 21) - 128*I*e^(-3*x)/(84*I*e^(-x) - 63*e^(-2*x) + 168*I*e^(-3*x) - 294*e^(-4*x) - 294*e^(-6*x) - 168*I*e^(-7*x) - 63*e^(-8*x) - 84*I*e^(-9*x) + 21*e^(-10*x) + 21) + 224*e^(-4*x)/(84*I*e^(-x) - 63*e^(-2*x) + 168*I*e^(-3*x) - 294*e^(-4*x) - 294*e^(-6*x) - 168*I*e^(-7*x) - 63*e^(-8*x) - 84*I*e^(-9*x) + 21*e^(-10*x) + 21) - 16/(84*I*e^(-x) - 63*e^(-2*x) + 168*I*e^(-3*x) - 294*e^(-4*x) - 294*e^(-6*x) - 168*I*e^(-7*x) - 63*e^(-8*x) - 84*I*e^(-9*x) + 21*e^(-10*x) + 21)","B",0
181,1,33,0,0.348576," ","integrate(cosh(x)^3/(1+I*sinh(x))^3,x, algorithm=""maxima"")","i \, x - \frac{4 \, e^{\left(-x\right)}}{2 i \, e^{\left(-x\right)} + e^{\left(-2 \, x\right)} - 1} + 2 i \, \log\left(e^{\left(-x\right)} + i\right)"," ",0,"I*x - 4*e^(-x)/(2*I*e^(-x) + e^(-2*x) - 1) + 2*I*log(e^(-x) + I)","A",0
182,1,53,0,0.326685," ","integrate(cosh(x)^2/(1+I*sinh(x))^3,x, algorithm=""maxima"")","\frac{6 \, e^{\left(-2 \, x\right)}}{-9 i \, e^{\left(-x\right)} - 9 \, e^{\left(-2 \, x\right)} + 3 i \, e^{\left(-3 \, x\right)} + 3} - \frac{2}{-9 i \, e^{\left(-x\right)} - 9 \, e^{\left(-2 \, x\right)} + 3 i \, e^{\left(-3 \, x\right)} + 3}"," ",0,"6*e^(-2*x)/(-9*I*e^(-x) - 9*e^(-2*x) + 3*I*e^(-3*x) + 3) - 2/(-9*I*e^(-x) - 9*e^(-2*x) + 3*I*e^(-3*x) + 3)","B",0
183,1,10,0,0.316512," ","integrate(cosh(x)/(1+I*sinh(x))^3,x, algorithm=""maxima"")","\frac{i}{2 \, {\left(i \, \sinh\left(x\right) + 1\right)}^{2}}"," ",0,"1/2*I/(I*sinh(x) + 1)^2","A",0
184,1,33,0,0.322865," ","integrate(cosh(x)^3/(1-I*sinh(x))^3,x, algorithm=""maxima"")","-i \, x - \frac{4 \, e^{\left(-x\right)}}{-2 i \, e^{\left(-x\right)} + e^{\left(-2 \, x\right)} - 1} - 2 i \, \log\left(e^{\left(-x\right)} - i\right)"," ",0,"-I*x - 4*e^(-x)/(-2*I*e^(-x) + e^(-2*x) - 1) - 2*I*log(e^(-x) - I)","A",0
185,1,53,0,0.325060," ","integrate(cosh(x)^2/(1-I*sinh(x))^3,x, algorithm=""maxima"")","-\frac{6 \, e^{\left(-2 \, x\right)}}{-9 i \, e^{\left(-x\right)} + 9 \, e^{\left(-2 \, x\right)} + 3 i \, e^{\left(-3 \, x\right)} - 3} + \frac{2}{-9 i \, e^{\left(-x\right)} + 9 \, e^{\left(-2 \, x\right)} + 3 i \, e^{\left(-3 \, x\right)} - 3}"," ",0,"-6*e^(-2*x)/(-9*I*e^(-x) + 9*e^(-2*x) + 3*I*e^(-3*x) - 3) + 2/(-9*I*e^(-x) + 9*e^(-2*x) + 3*I*e^(-3*x) - 3)","B",0
186,1,10,0,0.329242," ","integrate(cosh(x)/(1-I*sinh(x))^3,x, algorithm=""maxima"")","-\frac{i}{2 \, {\left(-i \, \sinh\left(x\right) + 1\right)}^{2}}"," ",0,"-1/2*I/(-I*sinh(x) + 1)^2","A",0
187,1,308,0,0.336688," ","integrate(cosh(x)^7/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{{\left(12 \, a b^{4} e^{\left(-x\right)} - 5 \, b^{5} - 30 \, {\left(a^{2} b^{3} + 2 \, b^{5}\right)} e^{\left(-2 \, x\right)} + 20 \, {\left(4 \, a^{3} b^{2} + 9 \, a b^{4}\right)} e^{\left(-3 \, x\right)} - 15 \, {\left(16 \, a^{4} b + 40 \, a^{2} b^{3} + 29 \, b^{5}\right)} e^{\left(-4 \, x\right)} + 120 \, {\left(8 \, a^{5} + 22 \, a^{3} b^{2} + 19 \, a b^{4}\right)} e^{\left(-5 \, x\right)}\right)} e^{\left(6 \, x\right)}}{1920 \, b^{6}} + \frac{12 \, a b^{4} e^{\left(-5 \, x\right)} + 5 \, b^{5} e^{\left(-6 \, x\right)} + 120 \, {\left(8 \, a^{5} + 22 \, a^{3} b^{2} + 19 \, a b^{4}\right)} e^{\left(-x\right)} + 15 \, {\left(16 \, a^{4} b + 40 \, a^{2} b^{3} + 29 \, b^{5}\right)} e^{\left(-2 \, x\right)} + 20 \, {\left(4 \, a^{3} b^{2} + 9 \, a b^{4}\right)} e^{\left(-3 \, x\right)} + 30 \, {\left(a^{2} b^{3} + 2 \, b^{5}\right)} e^{\left(-4 \, x\right)}}{1920 \, b^{6}} + \frac{{\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x}{b^{7}} + \frac{{\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{b^{7}}"," ",0,"-1/1920*(12*a*b^4*e^(-x) - 5*b^5 - 30*(a^2*b^3 + 2*b^5)*e^(-2*x) + 20*(4*a^3*b^2 + 9*a*b^4)*e^(-3*x) - 15*(16*a^4*b + 40*a^2*b^3 + 29*b^5)*e^(-4*x) + 120*(8*a^5 + 22*a^3*b^2 + 19*a*b^4)*e^(-5*x))*e^(6*x)/b^6 + 1/1920*(12*a*b^4*e^(-5*x) + 5*b^5*e^(-6*x) + 120*(8*a^5 + 22*a^3*b^2 + 19*a*b^4)*e^(-x) + 15*(16*a^4*b + 40*a^2*b^3 + 29*b^5)*e^(-2*x) + 20*(4*a^3*b^2 + 9*a*b^4)*e^(-3*x) + 30*(a^2*b^3 + 2*b^5)*e^(-4*x))/b^6 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x/b^7 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*log(-2*a*e^(-x) + b*e^(-2*x) - b)/b^7","B",0
188,1,283,0,0.425850," ","integrate(cosh(x)^6/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{{\left(15 \, a b^{3} e^{\left(-x\right)} - 6 \, b^{4} - 10 \, {\left(4 \, a^{2} b^{2} + 7 \, b^{4}\right)} e^{\left(-2 \, x\right)} + 120 \, {\left(a^{3} b + 2 \, a b^{3}\right)} e^{\left(-3 \, x\right)} - 60 \, {\left(8 \, a^{4} + 18 \, a^{2} b^{2} + 11 \, b^{4}\right)} e^{\left(-4 \, x\right)}\right)} e^{\left(5 \, x\right)}}{960 \, b^{5}} + \frac{15 \, a b^{3} e^{\left(-4 \, x\right)} + 6 \, b^{4} e^{\left(-5 \, x\right)} + 60 \, {\left(8 \, a^{4} + 18 \, a^{2} b^{2} + 11 \, b^{4}\right)} e^{\left(-x\right)} + 120 \, {\left(a^{3} b + 2 \, a b^{3}\right)} e^{\left(-2 \, x\right)} + 10 \, {\left(4 \, a^{2} b^{2} + 7 \, b^{4}\right)} e^{\left(-3 \, x\right)}}{960 \, b^{5}} - \frac{{\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x}{8 \, b^{6}} + \frac{{\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b^{6}}"," ",0,"-1/960*(15*a*b^3*e^(-x) - 6*b^4 - 10*(4*a^2*b^2 + 7*b^4)*e^(-2*x) + 120*(a^3*b + 2*a*b^3)*e^(-3*x) - 60*(8*a^4 + 18*a^2*b^2 + 11*b^4)*e^(-4*x))*e^(5*x)/b^5 + 1/960*(15*a*b^3*e^(-4*x) + 6*b^4*e^(-5*x) + 60*(8*a^4 + 18*a^2*b^2 + 11*b^4)*e^(-x) + 120*(a^3*b + 2*a*b^3)*e^(-2*x) + 10*(4*a^2*b^2 + 7*b^4)*e^(-3*x))/b^5 - 1/8*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*x/b^6 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^6)","B",0
189,1,180,0,0.322331," ","integrate(cosh(x)^5/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{{\left(8 \, a b^{2} e^{\left(-x\right)} - 3 \, b^{3} - 12 \, {\left(2 \, a^{2} b + 3 \, b^{3}\right)} e^{\left(-2 \, x\right)} + 24 \, {\left(4 \, a^{3} + 7 \, a b^{2}\right)} e^{\left(-3 \, x\right)}\right)} e^{\left(4 \, x\right)}}{192 \, b^{4}} + \frac{8 \, a b^{2} e^{\left(-3 \, x\right)} + 3 \, b^{3} e^{\left(-4 \, x\right)} + 24 \, {\left(4 \, a^{3} + 7 \, a b^{2}\right)} e^{\left(-x\right)} + 12 \, {\left(2 \, a^{2} b + 3 \, b^{3}\right)} e^{\left(-2 \, x\right)}}{192 \, b^{4}} + \frac{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x}{b^{5}} + \frac{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{b^{5}}"," ",0,"-1/192*(8*a*b^2*e^(-x) - 3*b^3 - 12*(2*a^2*b + 3*b^3)*e^(-2*x) + 24*(4*a^3 + 7*a*b^2)*e^(-3*x))*e^(4*x)/b^4 + 1/192*(8*a*b^2*e^(-3*x) + 3*b^3*e^(-4*x) + 24*(4*a^3 + 7*a*b^2)*e^(-x) + 12*(2*a^2*b + 3*b^3)*e^(-2*x))/b^4 + (a^4 + 2*a^2*b^2 + b^4)*x/b^5 + (a^4 + 2*a^2*b^2 + b^4)*log(-2*a*e^(-x) + b*e^(-2*x) - b)/b^5","B",0
190,1,170,0,0.411505," ","integrate(cosh(x)^4/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{{\left(3 \, a b e^{\left(-x\right)} - b^{2} - 3 \, {\left(4 \, a^{2} + 5 \, b^{2}\right)} e^{\left(-2 \, x\right)}\right)} e^{\left(3 \, x\right)}}{24 \, b^{3}} + \frac{3 \, a b e^{\left(-2 \, x\right)} + b^{2} e^{\left(-3 \, x\right)} + 3 \, {\left(4 \, a^{2} + 5 \, b^{2}\right)} e^{\left(-x\right)}}{24 \, b^{3}} - \frac{{\left(2 \, a^{3} + 3 \, a b^{2}\right)} x}{2 \, b^{4}} + \frac{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b^{4}}"," ",0,"-1/24*(3*a*b*e^(-x) - b^2 - 3*(4*a^2 + 5*b^2)*e^(-2*x))*e^(3*x)/b^3 + 1/24*(3*a*b*e^(-2*x) + b^2*e^(-3*x) + 3*(4*a^2 + 5*b^2)*e^(-x))/b^3 - 1/2*(2*a^3 + 3*a*b^2)*x/b^4 + (a^4 + 2*a^2*b^2 + b^4)*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^4)","A",0
191,1,81,0,0.327586," ","integrate(cosh(x)^3/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{{\left(4 \, a e^{\left(-x\right)} - b\right)} e^{\left(2 \, x\right)}}{8 \, b^{2}} + \frac{4 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)}}{8 \, b^{2}} + \frac{{\left(a^{2} + b^{2}\right)} x}{b^{3}} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{b^{3}}"," ",0,"-1/8*(4*a*e^(-x) - b)*e^(2*x)/b^2 + 1/8*(4*a*e^(-x) + b*e^(-2*x))/b^2 + (a^2 + b^2)*x/b^3 + (a^2 + b^2)*log(-2*a*e^(-x) + b*e^(-2*x) - b)/b^3","B",0
192,1,81,0,0.411897," ","integrate(cosh(x)^2/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{a x}{b^{2}} + \frac{e^{\left(-x\right)}}{2 \, b} + \frac{e^{x}}{2 \, b} + \frac{\sqrt{a^{2} + b^{2}} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{2}}"," ",0,"-a*x/b^2 + 1/2*e^(-x)/b + 1/2*e^x/b + sqrt(a^2 + b^2)*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/b^2","A",0
193,1,11,0,0.303585," ","integrate(cosh(x)/(a+b*sinh(x)),x, algorithm=""maxima"")","\frac{\log\left(b \sinh\left(x\right) + a\right)}{b}"," ",0,"log(b*sinh(x) + a)/b","A",0
194,1,66,0,0.412782," ","integrate(sech(x)/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{2 \, a \arctan\left(e^{\left(-x\right)}\right)}{a^{2} + b^{2}} + \frac{b \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a^{2} + b^{2}} - \frac{b \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{2} + b^{2}}"," ",0,"-2*a*arctan(e^(-x))/(a^2 + b^2) + b*log(-2*a*e^(-x) + b*e^(-2*x) - b)/(a^2 + b^2) - b*log(e^(-2*x) + 1)/(a^2 + b^2)","A",0
195,1,89,0,0.417177," ","integrate(sech(x)^2/(a+b*sinh(x)),x, algorithm=""maxima"")","\frac{b^{2} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, {\left(b e^{\left(-x\right)} + a\right)}}{a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, x\right)}}"," ",0,"b^2*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(a^2 + b^2)^(3/2) + 2*(b*e^(-x) + a)/(a^2 + b^2 + (a^2 + b^2)*e^(-2*x))","A",0
196,1,159,0,0.418279," ","integrate(sech(x)^3/(a+b*sinh(x)),x, algorithm=""maxima"")","\frac{b^{3} \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{b^{3} \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{{\left(a^{3} + 3 \, a b^{2}\right)} \arctan\left(e^{\left(-x\right)}\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{a e^{\left(-x\right)} + 2 \, b e^{\left(-2 \, x\right)} - a e^{\left(-3 \, x\right)}}{a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, x\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, x\right)}}"," ",0,"b^3*log(-2*a*e^(-x) + b*e^(-2*x) - b)/(a^4 + 2*a^2*b^2 + b^4) - b^3*log(e^(-2*x) + 1)/(a^4 + 2*a^2*b^2 + b^4) - (a^3 + 3*a*b^2)*arctan(e^(-x))/(a^4 + 2*a^2*b^2 + b^4) + (a*e^(-x) + 2*b*e^(-2*x) - a*e^(-3*x))/(a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*x) + (a^2 + b^2)*e^(-4*x))","A",0
197,1,230,0,0.441444," ","integrate(sech(x)^4/(a+b*sinh(x)),x, algorithm=""maxima"")","\frac{b^{4} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}}} + \frac{2 \, {\left(3 \, b^{3} e^{\left(-x\right)} + 3 \, a b^{2} e^{\left(-4 \, x\right)} + 3 \, b^{3} e^{\left(-5 \, x\right)} + 2 \, a^{3} + 5 \, a b^{2} + 6 \, {\left(a^{3} + 2 \, a b^{2}\right)} e^{\left(-2 \, x\right)} + 2 \, {\left(2 \, a^{2} b + 5 \, b^{3}\right)} e^{\left(-3 \, x\right)}\right)}}{3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4} + 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-2 \, x\right)} + 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-4 \, x\right)} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-6 \, x\right)}\right)}}"," ",0,"b^4*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)) + 2/3*(3*b^3*e^(-x) + 3*a*b^2*e^(-4*x) + 3*b^3*e^(-5*x) + 2*a^3 + 5*a*b^2 + 6*(a^3 + 2*a*b^2)*e^(-2*x) + 2*(2*a^2*b + 5*b^3)*e^(-3*x))/(a^4 + 2*a^2*b^2 + b^4 + 3*(a^4 + 2*a^2*b^2 + b^4)*e^(-2*x) + 3*(a^4 + 2*a^2*b^2 + b^4)*e^(-4*x) + (a^4 + 2*a^2*b^2 + b^4)*e^(-6*x))","B",0
198,1,345,0,0.439969," ","integrate(sech(x)^5/(a+b*sinh(x)),x, algorithm=""maxima"")","\frac{b^{5} \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} - \frac{b^{5} \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} - \frac{{\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \arctan\left(e^{\left(-x\right)}\right)}{4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)}} + \frac{8 \, b^{3} e^{\left(-2 \, x\right)} + 8 \, b^{3} e^{\left(-6 \, x\right)} + {\left(3 \, a^{3} + 7 \, a b^{2}\right)} e^{\left(-x\right)} + {\left(11 \, a^{3} + 15 \, a b^{2}\right)} e^{\left(-3 \, x\right)} + 16 \, {\left(a^{2} b + 2 \, b^{3}\right)} e^{\left(-4 \, x\right)} - {\left(11 \, a^{3} + 15 \, a b^{2}\right)} e^{\left(-5 \, x\right)} - {\left(3 \, a^{3} + 7 \, a b^{2}\right)} e^{\left(-7 \, x\right)}}{4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4} + 4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-2 \, x\right)} + 6 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-4 \, x\right)} + 4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-6 \, x\right)} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-8 \, x\right)}\right)}}"," ",0,"b^5*log(-2*a*e^(-x) + b*e^(-2*x) - b)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - b^5*log(e^(-2*x) + 1)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - 1/4*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*arctan(e^(-x))/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + 1/4*(8*b^3*e^(-2*x) + 8*b^3*e^(-6*x) + (3*a^3 + 7*a*b^2)*e^(-x) + (11*a^3 + 15*a*b^2)*e^(-3*x) + 16*(a^2*b + 2*b^3)*e^(-4*x) - (11*a^3 + 15*a*b^2)*e^(-5*x) - (3*a^3 + 7*a*b^2)*e^(-7*x))/(a^4 + 2*a^2*b^2 + b^4 + 4*(a^4 + 2*a^2*b^2 + b^4)*e^(-2*x) + 6*(a^4 + 2*a^2*b^2 + b^4)*e^(-4*x) + 4*(a^4 + 2*a^2*b^2 + b^4)*e^(-6*x) + (a^4 + 2*a^2*b^2 + b^4)*e^(-8*x))","B",0
199,1,438,0,0.433085," ","integrate(sech(x)^6/(a+b*sinh(x)),x, algorithm=""maxima"")","\frac{b^{6} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \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{2 \, {\left(15 \, b^{5} e^{\left(-x\right)} + 15 \, a b^{4} e^{\left(-8 \, x\right)} + 15 \, b^{5} e^{\left(-9 \, x\right)} + 8 \, a^{5} + 26 \, a^{3} b^{2} + 33 \, a b^{4} + 10 \, {\left(4 \, a^{5} + 13 \, a^{3} b^{2} + 15 \, a b^{4}\right)} e^{\left(-2 \, x\right)} + 20 \, {\left(a^{2} b^{3} + 4 \, b^{5}\right)} e^{\left(-3 \, x\right)} + 10 \, {\left(8 \, a^{5} + 23 \, a^{3} b^{2} + 24 \, a b^{4}\right)} e^{\left(-4 \, x\right)} + 2 \, {\left(24 \, a^{4} b + 68 \, a^{2} b^{3} + 89 \, b^{5}\right)} e^{\left(-5 \, x\right)} + 30 \, {\left(a^{3} b^{2} + 3 \, a b^{4}\right)} e^{\left(-6 \, x\right)} + 20 \, {\left(a^{2} b^{3} + 4 \, b^{5}\right)} e^{\left(-7 \, x\right)}\right)}}{15 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} e^{\left(-2 \, x\right)} + 10 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} e^{\left(-4 \, x\right)} + 10 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} e^{\left(-6 \, x\right)} + 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} e^{\left(-8 \, x\right)} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} e^{\left(-10 \, x\right)}\right)}}"," ",0,"b^6*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sqrt(a^2 + b^2)) + 2/15*(15*b^5*e^(-x) + 15*a*b^4*e^(-8*x) + 15*b^5*e^(-9*x) + 8*a^5 + 26*a^3*b^2 + 33*a*b^4 + 10*(4*a^5 + 13*a^3*b^2 + 15*a*b^4)*e^(-2*x) + 20*(a^2*b^3 + 4*b^5)*e^(-3*x) + 10*(8*a^5 + 23*a^3*b^2 + 24*a*b^4)*e^(-4*x) + 2*(24*a^4*b + 68*a^2*b^3 + 89*b^5)*e^(-5*x) + 30*(a^3*b^2 + 3*a*b^4)*e^(-6*x) + 20*(a^2*b^3 + 4*b^5)*e^(-7*x))/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*e^(-2*x) + 10*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*e^(-4*x) + 10*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*e^(-6*x) + 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*e^(-8*x) + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*e^(-10*x))","B",0
200,1,176,0,0.418383," ","integrate(cosh(x)^4/(a+b*sinh(x))^2,x, algorithm=""maxima"")","-\frac{6 \, a b^{2} e^{\left(-x\right)} - b^{3} + {\left(32 \, a^{2} b + 17 \, b^{3}\right)} e^{\left(-2 \, x\right)} + 8 \, {\left(2 \, a^{3} + a b^{2}\right)} e^{\left(-3 \, x\right)}}{8 \, {\left(b^{5} e^{\left(-2 \, x\right)} + 2 \, a b^{4} e^{\left(-3 \, x\right)} - b^{5} e^{\left(-4 \, x\right)}\right)}} - \frac{3 \, \sqrt{a^{2} + b^{2}} a \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{b^{4}} - \frac{8 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)}}{8 \, b^{3}} + \frac{3 \, {\left(2 \, a^{2} + b^{2}\right)} x}{2 \, b^{4}}"," ",0,"-1/8*(6*a*b^2*e^(-x) - b^3 + (32*a^2*b + 17*b^3)*e^(-2*x) + 8*(2*a^3 + a*b^2)*e^(-3*x))/(b^5*e^(-2*x) + 2*a*b^4*e^(-3*x) - b^5*e^(-4*x)) - 3*sqrt(a^2 + b^2)*a*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/b^4 - 1/8*(8*a*e^(-x) + b*e^(-2*x))/b^3 + 3/2*(2*a^2 + b^2)*x/b^4","B",0
201,1,102,0,0.331317," ","integrate(cosh(x)^3/(a+b*sinh(x))^2,x, algorithm=""maxima"")","\frac{2 \, a b e^{\left(-x\right)} + b^{2} - {\left(4 \, a^{2} + 5 \, b^{2}\right)} e^{\left(-2 \, x\right)}}{2 \, {\left(b^{4} e^{\left(-x\right)} + 2 \, a b^{3} e^{\left(-2 \, x\right)} - b^{4} e^{\left(-3 \, x\right)}\right)}} - \frac{2 \, a x}{b^{3}} - \frac{e^{\left(-x\right)}}{2 \, b^{2}} - \frac{2 \, a \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{b^{3}}"," ",0,"1/2*(2*a*b*e^(-x) + b^2 - (4*a^2 + 5*b^2)*e^(-2*x))/(b^4*e^(-x) + 2*a*b^3*e^(-2*x) - b^4*e^(-3*x)) - 2*a*x/b^3 - 1/2*e^(-x)/b^2 - 2*a*log(-2*a*e^(-x) + b*e^(-2*x) - b)/b^3","B",0
202,1,100,0,0.412224," ","integrate(cosh(x)^2/(a+b*sinh(x))^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(a e^{\left(-x\right)} + b\right)}}{2 \, a b^{2} e^{\left(-x\right)} - b^{3} e^{\left(-2 \, x\right)} + b^{3}} - \frac{a \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} b^{2}} + \frac{x}{b^{2}}"," ",0,"-2*(a*e^(-x) + b)/(2*a*b^2*e^(-x) - b^3*e^(-2*x) + b^3) - a*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^2) + x/b^2","A",0
203,1,13,0,0.308018," ","integrate(cosh(x)/(a+b*sinh(x))^2,x, algorithm=""maxima"")","-\frac{1}{{\left(b \sinh\left(x\right) + a\right)} b}"," ",0,"-1/((b*sinh(x) + a)*b)","A",0
204,1,149,0,0.414725," ","integrate(sech(x)/(a+b*sinh(x))^2,x, algorithm=""maxima"")","\frac{2 \, a b \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{2 \, a b \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{2 \, {\left(a^{2} - b^{2}\right)} \arctan\left(e^{\left(-x\right)}\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{2 \, b e^{\left(-x\right)}}{a^{2} b + b^{3} + 2 \, {\left(a^{3} + a b^{2}\right)} e^{\left(-x\right)} - {\left(a^{2} b + b^{3}\right)} e^{\left(-2 \, x\right)}}"," ",0,"2*a*b*log(-2*a*e^(-x) + b*e^(-2*x) - b)/(a^4 + 2*a^2*b^2 + b^4) - 2*a*b*log(e^(-2*x) + 1)/(a^4 + 2*a^2*b^2 + b^4) - 2*(a^2 - b^2)*arctan(e^(-x))/(a^4 + 2*a^2*b^2 + b^4) - 2*b*e^(-x)/(a^2*b + b^3 + 2*(a^3 + a*b^2)*e^(-x) - (a^2*b + b^3)*e^(-2*x))","A",0
205,1,215,0,0.421982," ","integrate(sech(x)^2/(a+b*sinh(x))^2,x, algorithm=""maxima"")","\frac{3 \, a b^{2} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}}} + \frac{2 \, {\left(3 \, a^{2} b e^{\left(-2 \, x\right)} - 3 \, a b^{2} e^{\left(-3 \, x\right)} + a^{2} b - 2 \, b^{3} + {\left(2 \, a^{3} - a b^{2}\right)} e^{\left(-x\right)}\right)}}{a^{4} b + 2 \, a^{2} b^{3} + b^{5} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} e^{\left(-x\right)} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} e^{\left(-3 \, x\right)} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} e^{\left(-4 \, x\right)}}"," ",0,"3*a*b^2*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)) + 2*(3*a^2*b*e^(-2*x) - 3*a*b^2*e^(-3*x) + a^2*b - 2*b^3 + (2*a^3 - a*b^2)*e^(-x))/(a^4*b + 2*a^2*b^3 + b^5 + 2*(a^5 + 2*a^3*b^2 + a*b^4)*e^(-x) + 2*(a^5 + 2*a^3*b^2 + a*b^4)*e^(-3*x) - (a^4*b + 2*a^2*b^3 + b^5)*e^(-4*x))","B",0
206,1,375,0,0.415057," ","integrate(sech(x)^3/(a+b*sinh(x))^2,x, algorithm=""maxima"")","\frac{4 \, a b^{3} \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} - \frac{4 \, a b^{3} \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} - \frac{{\left(a^{4} + 6 \, a^{2} b^{2} - 3 \, b^{4}\right)} \arctan\left(e^{\left(-x\right)}\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} + \frac{{\left(a^{2} b - 3 \, b^{3}\right)} e^{\left(-x\right)} + 2 \, {\left(a^{3} + a b^{2}\right)} e^{\left(-2 \, x\right)} + 2 \, {\left(3 \, a^{2} b - b^{3}\right)} e^{\left(-3 \, x\right)} - 2 \, {\left(a^{3} + a b^{2}\right)} e^{\left(-4 \, x\right)} + {\left(a^{2} b - 3 \, b^{3}\right)} e^{\left(-5 \, x\right)}}{a^{4} b + 2 \, a^{2} b^{3} + b^{5} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} e^{\left(-x\right)} + {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} e^{\left(-2 \, x\right)} + 4 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} e^{\left(-3 \, x\right)} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} e^{\left(-4 \, x\right)} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} e^{\left(-5 \, x\right)} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} e^{\left(-6 \, x\right)}}"," ",0,"4*a*b^3*log(-2*a*e^(-x) + b*e^(-2*x) - b)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - 4*a*b^3*log(e^(-2*x) + 1)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - (a^4 + 6*a^2*b^2 - 3*b^4)*arctan(e^(-x))/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + ((a^2*b - 3*b^3)*e^(-x) + 2*(a^3 + a*b^2)*e^(-2*x) + 2*(3*a^2*b - b^3)*e^(-3*x) - 2*(a^3 + a*b^2)*e^(-4*x) + (a^2*b - 3*b^3)*e^(-5*x))/(a^4*b + 2*a^2*b^3 + b^5 + 2*(a^5 + 2*a^3*b^2 + a*b^4)*e^(-x) + (a^4*b + 2*a^2*b^3 + b^5)*e^(-2*x) + 4*(a^5 + 2*a^3*b^2 + a*b^4)*e^(-3*x) - (a^4*b + 2*a^2*b^3 + b^5)*e^(-4*x) + 2*(a^5 + 2*a^3*b^2 + a*b^4)*e^(-5*x) - (a^4*b + 2*a^2*b^3 + b^5)*e^(-6*x))","B",0
207,1,490,0,0.424144," ","integrate(sech(x)^4/(a+b*sinh(x))^2,x, algorithm=""maxima"")","\frac{5 \, a b^{4} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \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{2 \, {\left(15 \, a^{2} b^{3} e^{\left(-6 \, x\right)} - 15 \, a b^{4} e^{\left(-7 \, x\right)} + 2 \, a^{4} b + 9 \, a^{2} b^{3} - 8 \, b^{5} + {\left(4 \, a^{5} + 18 \, a^{3} b^{2} - a b^{4}\right)} e^{\left(-x\right)} + {\left(4 \, a^{4} b + 33 \, a^{2} b^{3} - 16 \, b^{5}\right)} e^{\left(-2 \, x\right)} + {\left(12 \, a^{5} + 44 \, a^{3} b^{2} - 13 \, a b^{4}\right)} e^{\left(-3 \, x\right)} + 5 \, {\left(2 \, a^{4} b + 11 \, a^{2} b^{3}\right)} e^{\left(-4 \, x\right)} + 5 \, {\left(2 \, a^{3} b^{2} - 7 \, a b^{4}\right)} e^{\left(-5 \, x\right)}\right)}}{3 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7} + 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} e^{\left(-x\right)} + 2 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} e^{\left(-2 \, x\right)} + 6 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} e^{\left(-3 \, x\right)} + 6 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} e^{\left(-5 \, x\right)} - 2 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} e^{\left(-6 \, x\right)} + 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} e^{\left(-7 \, x\right)} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} e^{\left(-8 \, x\right)}\right)}}"," ",0,"5*a*b^4*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sqrt(a^2 + b^2)) + 2/3*(15*a^2*b^3*e^(-6*x) - 15*a*b^4*e^(-7*x) + 2*a^4*b + 9*a^2*b^3 - 8*b^5 + (4*a^5 + 18*a^3*b^2 - a*b^4)*e^(-x) + (4*a^4*b + 33*a^2*b^3 - 16*b^5)*e^(-2*x) + (12*a^5 + 44*a^3*b^2 - 13*a*b^4)*e^(-3*x) + 5*(2*a^4*b + 11*a^2*b^3)*e^(-4*x) + 5*(2*a^3*b^2 - 7*a*b^4)*e^(-5*x))/(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7 + 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*e^(-x) + 2*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*e^(-2*x) + 6*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*e^(-3*x) + 6*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*e^(-5*x) - 2*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*e^(-6*x) + 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*e^(-7*x) - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*e^(-8*x))","B",0
208,1,413,0,0.320199," ","integrate(tanh(x)^4/(I+sinh(x)),x, algorithm=""maxima"")","\frac{18 \, e^{\left(-x\right)}}{-30 i \, e^{\left(-x\right)} - 30 \, e^{\left(-2 \, x\right)} - 90 i \, e^{\left(-3 \, x\right)} - 90 i \, e^{\left(-5 \, x\right)} + 30 \, e^{\left(-6 \, x\right)} - 30 i \, e^{\left(-7 \, x\right)} + 15 \, e^{\left(-8 \, x\right)} - 15} + \frac{42 i \, e^{\left(-2 \, x\right)}}{-30 i \, e^{\left(-x\right)} - 30 \, e^{\left(-2 \, x\right)} - 90 i \, e^{\left(-3 \, x\right)} - 90 i \, e^{\left(-5 \, x\right)} + 30 \, e^{\left(-6 \, x\right)} - 30 i \, e^{\left(-7 \, x\right)} + 15 \, e^{\left(-8 \, x\right)} - 15} - \frac{26 \, e^{\left(-3 \, x\right)}}{-30 i \, e^{\left(-x\right)} - 30 \, e^{\left(-2 \, x\right)} - 90 i \, e^{\left(-3 \, x\right)} - 90 i \, e^{\left(-5 \, x\right)} + 30 \, e^{\left(-6 \, x\right)} - 30 i \, e^{\left(-7 \, x\right)} + 15 \, e^{\left(-8 \, x\right)} - 15} + \frac{50 i \, e^{\left(-4 \, x\right)}}{-30 i \, e^{\left(-x\right)} - 30 \, e^{\left(-2 \, x\right)} - 90 i \, e^{\left(-3 \, x\right)} - 90 i \, e^{\left(-5 \, x\right)} + 30 \, e^{\left(-6 \, x\right)} - 30 i \, e^{\left(-7 \, x\right)} + 15 \, e^{\left(-8 \, x\right)} - 15} - \frac{10 \, e^{\left(-5 \, x\right)}}{-30 i \, e^{\left(-x\right)} - 30 \, e^{\left(-2 \, x\right)} - 90 i \, e^{\left(-3 \, x\right)} - 90 i \, e^{\left(-5 \, x\right)} + 30 \, e^{\left(-6 \, x\right)} - 30 i \, e^{\left(-7 \, x\right)} + 15 \, e^{\left(-8 \, x\right)} - 15} + \frac{30 i \, e^{\left(-6 \, x\right)}}{-30 i \, e^{\left(-x\right)} - 30 \, e^{\left(-2 \, x\right)} - 90 i \, e^{\left(-3 \, x\right)} - 90 i \, e^{\left(-5 \, x\right)} + 30 \, e^{\left(-6 \, x\right)} - 30 i \, e^{\left(-7 \, x\right)} + 15 \, e^{\left(-8 \, x\right)} - 15} - \frac{30 \, e^{\left(-7 \, x\right)}}{-30 i \, e^{\left(-x\right)} - 30 \, e^{\left(-2 \, x\right)} - 90 i \, e^{\left(-3 \, x\right)} - 90 i \, e^{\left(-5 \, x\right)} + 30 \, e^{\left(-6 \, x\right)} - 30 i \, e^{\left(-7 \, x\right)} + 15 \, e^{\left(-8 \, x\right)} - 15} + \frac{6 i}{-30 i \, e^{\left(-x\right)} - 30 \, e^{\left(-2 \, x\right)} - 90 i \, e^{\left(-3 \, x\right)} - 90 i \, e^{\left(-5 \, x\right)} + 30 \, e^{\left(-6 \, x\right)} - 30 i \, e^{\left(-7 \, x\right)} + 15 \, e^{\left(-8 \, x\right)} - 15}"," ",0,"18*e^(-x)/(-30*I*e^(-x) - 30*e^(-2*x) - 90*I*e^(-3*x) - 90*I*e^(-5*x) + 30*e^(-6*x) - 30*I*e^(-7*x) + 15*e^(-8*x) - 15) + 42*I*e^(-2*x)/(-30*I*e^(-x) - 30*e^(-2*x) - 90*I*e^(-3*x) - 90*I*e^(-5*x) + 30*e^(-6*x) - 30*I*e^(-7*x) + 15*e^(-8*x) - 15) - 26*e^(-3*x)/(-30*I*e^(-x) - 30*e^(-2*x) - 90*I*e^(-3*x) - 90*I*e^(-5*x) + 30*e^(-6*x) - 30*I*e^(-7*x) + 15*e^(-8*x) - 15) + 50*I*e^(-4*x)/(-30*I*e^(-x) - 30*e^(-2*x) - 90*I*e^(-3*x) - 90*I*e^(-5*x) + 30*e^(-6*x) - 30*I*e^(-7*x) + 15*e^(-8*x) - 15) - 10*e^(-5*x)/(-30*I*e^(-x) - 30*e^(-2*x) - 90*I*e^(-3*x) - 90*I*e^(-5*x) + 30*e^(-6*x) - 30*I*e^(-7*x) + 15*e^(-8*x) - 15) + 30*I*e^(-6*x)/(-30*I*e^(-x) - 30*e^(-2*x) - 90*I*e^(-3*x) - 90*I*e^(-5*x) + 30*e^(-6*x) - 30*I*e^(-7*x) + 15*e^(-8*x) - 15) - 30*e^(-7*x)/(-30*I*e^(-x) - 30*e^(-2*x) - 90*I*e^(-3*x) - 90*I*e^(-5*x) + 30*e^(-6*x) - 30*I*e^(-7*x) + 15*e^(-8*x) - 15) + 6*I/(-30*I*e^(-x) - 30*e^(-2*x) - 90*I*e^(-3*x) - 90*I*e^(-5*x) + 30*e^(-6*x) - 30*I*e^(-7*x) + 15*e^(-8*x) - 15)","B",0
209,1,95,0,0.302300," ","integrate(tanh(x)^3/(I+sinh(x)),x, algorithm=""maxima"")","\frac{5 \, e^{\left(-x\right)} + 2 i \, e^{\left(-2 \, x\right)} - 2 \, e^{\left(-3 \, x\right)} - 2 i \, e^{\left(-4 \, x\right)} + 5 \, e^{\left(-5 \, x\right)}}{-8 i \, e^{\left(-x\right)} - 4 \, e^{\left(-2 \, x\right)} - 16 i \, e^{\left(-3 \, x\right)} + 4 \, e^{\left(-4 \, x\right)} - 8 i \, e^{\left(-5 \, x\right)} + 4 \, e^{\left(-6 \, x\right)} - 4} + \frac{3}{8} i \, \log\left(i \, e^{\left(-x\right)} + 1\right) - \frac{3}{8} i \, \log\left(i \, e^{\left(-x\right)} - 1\right)"," ",0,"(5*e^(-x) + 2*I*e^(-2*x) - 2*e^(-3*x) - 2*I*e^(-4*x) + 5*e^(-5*x))/(-8*I*e^(-x) - 4*e^(-2*x) - 16*I*e^(-3*x) + 4*e^(-4*x) - 8*I*e^(-5*x) + 4*e^(-6*x) - 4) + 3/8*I*log(I*e^(-x) + 1) - 3/8*I*log(I*e^(-x) - 1)","B",0
210,1,109,0,0.312206," ","integrate(tanh(x)^2/(I+sinh(x)),x, algorithm=""maxima"")","\frac{2 \, e^{\left(-x\right)}}{-6 i \, e^{\left(-x\right)} - 6 i \, e^{\left(-3 \, x\right)} + 3 \, e^{\left(-4 \, x\right)} - 3} + \frac{6 i \, e^{\left(-2 \, x\right)}}{-6 i \, e^{\left(-x\right)} - 6 i \, e^{\left(-3 \, x\right)} + 3 \, e^{\left(-4 \, x\right)} - 3} - \frac{6 \, e^{\left(-3 \, x\right)}}{-6 i \, e^{\left(-x\right)} - 6 i \, e^{\left(-3 \, x\right)} + 3 \, e^{\left(-4 \, x\right)} - 3} + \frac{2 i}{-6 i \, e^{\left(-x\right)} - 6 i \, e^{\left(-3 \, x\right)} + 3 \, e^{\left(-4 \, x\right)} - 3}"," ",0,"2*e^(-x)/(-6*I*e^(-x) - 6*I*e^(-3*x) + 3*e^(-4*x) - 3) + 6*I*e^(-2*x)/(-6*I*e^(-x) - 6*I*e^(-3*x) + 3*e^(-4*x) - 3) - 6*e^(-3*x)/(-6*I*e^(-x) - 6*I*e^(-3*x) + 3*e^(-4*x) - 3) + 2*I/(-6*I*e^(-x) - 6*I*e^(-3*x) + 3*e^(-4*x) - 3)","B",0
211,1,42,0,0.307235," ","integrate(tanh(x)/(I+sinh(x)),x, algorithm=""maxima"")","\frac{e^{\left(-x\right)}}{-2 i \, e^{\left(-x\right)} + e^{\left(-2 \, x\right)} - 1} + \frac{1}{2} i \, \log\left(i \, e^{\left(-x\right)} + 1\right) - \frac{1}{2} i \, \log\left(i \, e^{\left(-x\right)} - 1\right)"," ",0,"e^(-x)/(-2*I*e^(-x) + e^(-2*x) - 1) + 1/2*I*log(I*e^(-x) + 1) - 1/2*I*log(I*e^(-x) - 1)","B",0
212,1,28,0,0.298130," ","integrate(coth(x)/(I+sinh(x)),x, algorithm=""maxima"")","-i \, \log\left(e^{\left(-x\right)} + 1\right) + 2 i \, \log\left(e^{\left(-x\right)} - i\right) - i \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"-I*log(e^(-x) + 1) + 2*I*log(e^(-x) - I) - I*log(e^(-x) - 1)","B",0
213,1,27,0,0.299767," ","integrate(coth(x)^2/(I+sinh(x)),x, algorithm=""maxima"")","-\frac{2 i}{e^{\left(-2 \, x\right)} - 1} - \log\left(e^{\left(-x\right)} + 1\right) + \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"-2*I/(e^(-2*x) - 1) - log(e^(-x) + 1) + log(e^(-x) - 1)","B",0
214,1,67,0,0.307189," ","integrate(coth(x)^3/(I+sinh(x)),x, algorithm=""maxima"")","\frac{2 \, e^{\left(-x\right)}}{2 \, e^{\left(-2 \, x\right)} - e^{\left(-4 \, x\right)} - 1} - \frac{2 i \, e^{\left(-2 \, x\right)}}{2 \, e^{\left(-2 \, x\right)} - e^{\left(-4 \, x\right)} - 1} - \frac{2 \, e^{\left(-3 \, x\right)}}{2 \, e^{\left(-2 \, x\right)} - e^{\left(-4 \, x\right)} - 1}"," ",0,"2*e^(-x)/(2*e^(-2*x) - e^(-4*x) - 1) - 2*I*e^(-2*x)/(2*e^(-2*x) - e^(-4*x) - 1) - 2*e^(-3*x)/(2*e^(-2*x) - e^(-4*x) - 1)","B",0
215,1,61,0,0.872416," ","integrate(coth(x)^4/(I+sinh(x)),x, algorithm=""maxima"")","\frac{3 \, e^{\left(-x\right)} - 6 i \, e^{\left(-4 \, x\right)} - 3 \, e^{\left(-5 \, x\right)} - 2 i}{3 \, {\left(3 \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-4 \, x\right)} + e^{\left(-6 \, x\right)} - 1\right)}} - \frac{1}{2} \, \log\left(e^{\left(-x\right)} + 1\right) + \frac{1}{2} \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"1/3*(3*e^(-x) - 6*I*e^(-4*x) - 3*e^(-5*x) - 2*I)/(3*e^(-2*x) - 3*e^(-4*x) + e^(-6*x) - 1) - 1/2*log(e^(-x) + 1) + 1/2*log(e^(-x) - 1)","B",0
216,1,205,0,0.483058," ","integrate(coth(x)^5/(I+sinh(x)),x, algorithm=""maxima"")","\frac{2 \, e^{\left(-x\right)}}{4 \, e^{\left(-2 \, x\right)} - 6 \, e^{\left(-4 \, x\right)} + 4 \, e^{\left(-6 \, x\right)} - e^{\left(-8 \, x\right)} - 1} - \frac{2 i \, e^{\left(-2 \, x\right)}}{4 \, e^{\left(-2 \, x\right)} - 6 \, e^{\left(-4 \, x\right)} + 4 \, e^{\left(-6 \, x\right)} - e^{\left(-8 \, x\right)} - 1} - \frac{10 \, e^{\left(-3 \, x\right)}}{3 \, {\left(4 \, e^{\left(-2 \, x\right)} - 6 \, e^{\left(-4 \, x\right)} + 4 \, e^{\left(-6 \, x\right)} - e^{\left(-8 \, x\right)} - 1\right)}} + \frac{10 \, e^{\left(-5 \, x\right)}}{3 \, {\left(4 \, e^{\left(-2 \, x\right)} - 6 \, e^{\left(-4 \, x\right)} + 4 \, e^{\left(-6 \, x\right)} - e^{\left(-8 \, x\right)} - 1\right)}} - \frac{2 i \, e^{\left(-6 \, x\right)}}{4 \, e^{\left(-2 \, x\right)} - 6 \, e^{\left(-4 \, x\right)} + 4 \, e^{\left(-6 \, x\right)} - e^{\left(-8 \, x\right)} - 1} - \frac{2 \, e^{\left(-7 \, x\right)}}{4 \, e^{\left(-2 \, x\right)} - 6 \, e^{\left(-4 \, x\right)} + 4 \, e^{\left(-6 \, x\right)} - e^{\left(-8 \, x\right)} - 1}"," ",0,"2*e^(-x)/(4*e^(-2*x) - 6*e^(-4*x) + 4*e^(-6*x) - e^(-8*x) - 1) - 2*I*e^(-2*x)/(4*e^(-2*x) - 6*e^(-4*x) + 4*e^(-6*x) - e^(-8*x) - 1) - 10/3*e^(-3*x)/(4*e^(-2*x) - 6*e^(-4*x) + 4*e^(-6*x) - e^(-8*x) - 1) + 10/3*e^(-5*x)/(4*e^(-2*x) - 6*e^(-4*x) + 4*e^(-6*x) - e^(-8*x) - 1) - 2*I*e^(-6*x)/(4*e^(-2*x) - 6*e^(-4*x) + 4*e^(-6*x) - e^(-8*x) - 1) - 2*e^(-7*x)/(4*e^(-2*x) - 6*e^(-4*x) + 4*e^(-6*x) - e^(-8*x) - 1)","B",0
217,1,91,0,0.312543," ","integrate(coth(x)^6/(I+sinh(x)),x, algorithm=""maxima"")","\frac{25 \, e^{\left(-x\right)} - 10 \, e^{\left(-3 \, x\right)} - 80 i \, e^{\left(-4 \, x\right)} + 10 \, e^{\left(-7 \, x\right)} - 40 i \, e^{\left(-8 \, x\right)} - 25 \, e^{\left(-9 \, x\right)} - 8 i}{20 \, {\left(5 \, e^{\left(-2 \, x\right)} - 10 \, e^{\left(-4 \, x\right)} + 10 \, e^{\left(-6 \, x\right)} - 5 \, e^{\left(-8 \, x\right)} + e^{\left(-10 \, x\right)} - 1\right)}} - \frac{3}{8} \, \log\left(e^{\left(-x\right)} + 1\right) + \frac{3}{8} \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"1/20*(25*e^(-x) - 10*e^(-3*x) - 80*I*e^(-4*x) + 10*e^(-7*x) - 40*I*e^(-8*x) - 25*e^(-9*x) - 8*I)/(5*e^(-2*x) - 10*e^(-4*x) + 10*e^(-6*x) - 5*e^(-8*x) + e^(-10*x) - 1) - 3/8*log(e^(-x) + 1) + 3/8*log(e^(-x) - 1)","B",0
218,1,573,0,0.882476," ","integrate(tanh(x)^4/(I+sinh(x))^2,x, algorithm=""maxima"")","\frac{72 i \, e^{\left(-x\right)}}{420 i \, e^{\left(-x\right)} - 315 \, e^{\left(-2 \, x\right)} + 840 i \, e^{\left(-3 \, x\right)} - 1470 \, e^{\left(-4 \, x\right)} - 1470 \, e^{\left(-6 \, x\right)} - 840 i \, e^{\left(-7 \, x\right)} - 315 \, e^{\left(-8 \, x\right)} - 420 i \, e^{\left(-9 \, x\right)} + 105 \, e^{\left(-10 \, x\right)} + 105} - \frac{264 \, e^{\left(-2 \, x\right)}}{420 i \, e^{\left(-x\right)} - 315 \, e^{\left(-2 \, x\right)} + 840 i \, e^{\left(-3 \, x\right)} - 1470 \, e^{\left(-4 \, x\right)} - 1470 \, e^{\left(-6 \, x\right)} - 840 i \, e^{\left(-7 \, x\right)} - 315 \, e^{\left(-8 \, x\right)} - 420 i \, e^{\left(-9 \, x\right)} + 105 \, e^{\left(-10 \, x\right)} + 105} - \frac{136 i \, e^{\left(-3 \, x\right)}}{420 i \, e^{\left(-x\right)} - 315 \, e^{\left(-2 \, x\right)} + 840 i \, e^{\left(-3 \, x\right)} - 1470 \, e^{\left(-4 \, x\right)} - 1470 \, e^{\left(-6 \, x\right)} - 840 i \, e^{\left(-7 \, x\right)} - 315 \, e^{\left(-8 \, x\right)} - 420 i \, e^{\left(-9 \, x\right)} + 105 \, e^{\left(-10 \, x\right)} + 105} + \frac{28 \, e^{\left(-4 \, x\right)}}{420 i \, e^{\left(-x\right)} - 315 \, e^{\left(-2 \, x\right)} + 840 i \, e^{\left(-3 \, x\right)} - 1470 \, e^{\left(-4 \, x\right)} - 1470 \, e^{\left(-6 \, x\right)} - 840 i \, e^{\left(-7 \, x\right)} - 315 \, e^{\left(-8 \, x\right)} - 420 i \, e^{\left(-9 \, x\right)} + 105 \, e^{\left(-10 \, x\right)} + 105} - \frac{168 i \, e^{\left(-5 \, x\right)}}{420 i \, e^{\left(-x\right)} - 315 \, e^{\left(-2 \, x\right)} + 840 i \, e^{\left(-3 \, x\right)} - 1470 \, e^{\left(-4 \, x\right)} - 1470 \, e^{\left(-6 \, x\right)} - 840 i \, e^{\left(-7 \, x\right)} - 315 \, e^{\left(-8 \, x\right)} - 420 i \, e^{\left(-9 \, x\right)} + 105 \, e^{\left(-10 \, x\right)} + 105} - \frac{280 \, e^{\left(-6 \, x\right)}}{420 i \, e^{\left(-x\right)} - 315 \, e^{\left(-2 \, x\right)} + 840 i \, e^{\left(-3 \, x\right)} - 1470 \, e^{\left(-4 \, x\right)} - 1470 \, e^{\left(-6 \, x\right)} - 840 i \, e^{\left(-7 \, x\right)} - 315 \, e^{\left(-8 \, x\right)} - 420 i \, e^{\left(-9 \, x\right)} + 105 \, e^{\left(-10 \, x\right)} + 105} - \frac{280 i \, e^{\left(-7 \, x\right)}}{420 i \, e^{\left(-x\right)} - 315 \, e^{\left(-2 \, x\right)} + 840 i \, e^{\left(-3 \, x\right)} - 1470 \, e^{\left(-4 \, x\right)} - 1470 \, e^{\left(-6 \, x\right)} - 840 i \, e^{\left(-7 \, x\right)} - 315 \, e^{\left(-8 \, x\right)} - 420 i \, e^{\left(-9 \, x\right)} + 105 \, e^{\left(-10 \, x\right)} + 105} + \frac{210 \, e^{\left(-8 \, x\right)}}{420 i \, e^{\left(-x\right)} - 315 \, e^{\left(-2 \, x\right)} + 840 i \, e^{\left(-3 \, x\right)} - 1470 \, e^{\left(-4 \, x\right)} - 1470 \, e^{\left(-6 \, x\right)} - 840 i \, e^{\left(-7 \, x\right)} - 315 \, e^{\left(-8 \, x\right)} - 420 i \, e^{\left(-9 \, x\right)} + 105 \, e^{\left(-10 \, x\right)} + 105} + \frac{18}{420 i \, e^{\left(-x\right)} - 315 \, e^{\left(-2 \, x\right)} + 840 i \, e^{\left(-3 \, x\right)} - 1470 \, e^{\left(-4 \, x\right)} - 1470 \, e^{\left(-6 \, x\right)} - 840 i \, e^{\left(-7 \, x\right)} - 315 \, e^{\left(-8 \, x\right)} - 420 i \, e^{\left(-9 \, x\right)} + 105 \, e^{\left(-10 \, x\right)} + 105}"," ",0,"72*I*e^(-x)/(420*I*e^(-x) - 315*e^(-2*x) + 840*I*e^(-3*x) - 1470*e^(-4*x) - 1470*e^(-6*x) - 840*I*e^(-7*x) - 315*e^(-8*x) - 420*I*e^(-9*x) + 105*e^(-10*x) + 105) - 264*e^(-2*x)/(420*I*e^(-x) - 315*e^(-2*x) + 840*I*e^(-3*x) - 1470*e^(-4*x) - 1470*e^(-6*x) - 840*I*e^(-7*x) - 315*e^(-8*x) - 420*I*e^(-9*x) + 105*e^(-10*x) + 105) - 136*I*e^(-3*x)/(420*I*e^(-x) - 315*e^(-2*x) + 840*I*e^(-3*x) - 1470*e^(-4*x) - 1470*e^(-6*x) - 840*I*e^(-7*x) - 315*e^(-8*x) - 420*I*e^(-9*x) + 105*e^(-10*x) + 105) + 28*e^(-4*x)/(420*I*e^(-x) - 315*e^(-2*x) + 840*I*e^(-3*x) - 1470*e^(-4*x) - 1470*e^(-6*x) - 840*I*e^(-7*x) - 315*e^(-8*x) - 420*I*e^(-9*x) + 105*e^(-10*x) + 105) - 168*I*e^(-5*x)/(420*I*e^(-x) - 315*e^(-2*x) + 840*I*e^(-3*x) - 1470*e^(-4*x) - 1470*e^(-6*x) - 840*I*e^(-7*x) - 315*e^(-8*x) - 420*I*e^(-9*x) + 105*e^(-10*x) + 105) - 280*e^(-6*x)/(420*I*e^(-x) - 315*e^(-2*x) + 840*I*e^(-3*x) - 1470*e^(-4*x) - 1470*e^(-6*x) - 840*I*e^(-7*x) - 315*e^(-8*x) - 420*I*e^(-9*x) + 105*e^(-10*x) + 105) - 280*I*e^(-7*x)/(420*I*e^(-x) - 315*e^(-2*x) + 840*I*e^(-3*x) - 1470*e^(-4*x) - 1470*e^(-6*x) - 840*I*e^(-7*x) - 315*e^(-8*x) - 420*I*e^(-9*x) + 105*e^(-10*x) + 105) + 210*e^(-8*x)/(420*I*e^(-x) - 315*e^(-2*x) + 840*I*e^(-3*x) - 1470*e^(-4*x) - 1470*e^(-6*x) - 840*I*e^(-7*x) - 315*e^(-8*x) - 420*I*e^(-9*x) + 105*e^(-10*x) + 105) + 18/(420*I*e^(-x) - 315*e^(-2*x) + 840*I*e^(-3*x) - 1470*e^(-4*x) - 1470*e^(-6*x) - 840*I*e^(-7*x) - 315*e^(-8*x) - 420*I*e^(-9*x) + 105*e^(-10*x) + 105)","B",0
219,1,115,0,0.356179," ","integrate(tanh(x)^3/(I+sinh(x))^2,x, algorithm=""maxima"")","\frac{-3 i \, e^{\left(-x\right)} - 12 \, e^{\left(-2 \, x\right)} - 19 i \, e^{\left(-3 \, x\right)} + 40 \, e^{\left(-4 \, x\right)} + 19 i \, e^{\left(-5 \, x\right)} - 12 \, e^{\left(-6 \, x\right)} + 3 i \, e^{\left(-7 \, x\right)}}{48 i \, e^{\left(-x\right)} - 48 \, e^{\left(-2 \, x\right)} + 48 i \, e^{\left(-3 \, x\right)} - 120 \, e^{\left(-4 \, x\right)} - 48 i \, e^{\left(-5 \, x\right)} - 48 \, e^{\left(-6 \, x\right)} - 48 i \, e^{\left(-7 \, x\right)} + 12 \, e^{\left(-8 \, x\right)} + 12} - \frac{1}{8} \, \log\left(e^{\left(-x\right)} + i\right) + \frac{1}{8} \, \log\left(e^{\left(-x\right)} - i\right)"," ",0,"(-3*I*e^(-x) - 12*e^(-2*x) - 19*I*e^(-3*x) + 40*e^(-4*x) + 19*I*e^(-5*x) - 12*e^(-6*x) + 3*I*e^(-7*x))/(48*I*e^(-x) - 48*e^(-2*x) + 48*I*e^(-3*x) - 120*e^(-4*x) - 48*I*e^(-5*x) - 48*e^(-6*x) - 48*I*e^(-7*x) + 12*e^(-8*x) + 12) - 1/8*log(e^(-x) + I) + 1/8*log(e^(-x) - I)","B",0
220,1,197,0,0.361227," ","integrate(tanh(x)^2/(I+sinh(x))^2,x, algorithm=""maxima"")","\frac{8 i \, e^{\left(-x\right)}}{60 i \, e^{\left(-x\right)} - 75 \, e^{\left(-2 \, x\right)} - 75 \, e^{\left(-4 \, x\right)} - 60 i \, e^{\left(-5 \, x\right)} + 15 \, e^{\left(-6 \, x\right)} + 15} - \frac{40 \, e^{\left(-2 \, x\right)}}{60 i \, e^{\left(-x\right)} - 75 \, e^{\left(-2 \, x\right)} - 75 \, e^{\left(-4 \, x\right)} - 60 i \, e^{\left(-5 \, x\right)} + 15 \, e^{\left(-6 \, x\right)} + 15} - \frac{40 i \, e^{\left(-3 \, x\right)}}{60 i \, e^{\left(-x\right)} - 75 \, e^{\left(-2 \, x\right)} - 75 \, e^{\left(-4 \, x\right)} - 60 i \, e^{\left(-5 \, x\right)} + 15 \, e^{\left(-6 \, x\right)} + 15} + \frac{30 \, e^{\left(-4 \, x\right)}}{60 i \, e^{\left(-x\right)} - 75 \, e^{\left(-2 \, x\right)} - 75 \, e^{\left(-4 \, x\right)} - 60 i \, e^{\left(-5 \, x\right)} + 15 \, e^{\left(-6 \, x\right)} + 15} + \frac{2}{60 i \, e^{\left(-x\right)} - 75 \, e^{\left(-2 \, x\right)} - 75 \, e^{\left(-4 \, x\right)} - 60 i \, e^{\left(-5 \, x\right)} + 15 \, e^{\left(-6 \, x\right)} + 15}"," ",0,"8*I*e^(-x)/(60*I*e^(-x) - 75*e^(-2*x) - 75*e^(-4*x) - 60*I*e^(-5*x) + 15*e^(-6*x) + 15) - 40*e^(-2*x)/(60*I*e^(-x) - 75*e^(-2*x) - 75*e^(-4*x) - 60*I*e^(-5*x) + 15*e^(-6*x) + 15) - 40*I*e^(-3*x)/(60*I*e^(-x) - 75*e^(-2*x) - 75*e^(-4*x) - 60*I*e^(-5*x) + 15*e^(-6*x) + 15) + 30*e^(-4*x)/(60*I*e^(-x) - 75*e^(-2*x) - 75*e^(-4*x) - 60*I*e^(-5*x) + 15*e^(-6*x) + 15) + 2/(60*I*e^(-x) - 75*e^(-2*x) - 75*e^(-4*x) - 60*I*e^(-5*x) + 15*e^(-6*x) + 15)","B",0
221,1,61,0,0.333385," ","integrate(tanh(x)/(I+sinh(x))^2,x, algorithm=""maxima"")","\frac{-i \, e^{\left(-x\right)} + i \, e^{\left(-3 \, x\right)}}{8 i \, e^{\left(-x\right)} - 12 \, e^{\left(-2 \, x\right)} - 8 i \, e^{\left(-3 \, x\right)} + 2 \, e^{\left(-4 \, x\right)} + 2} - \frac{1}{4} \, \log\left(e^{\left(-x\right)} + i\right) + \frac{1}{4} \, \log\left(e^{\left(-x\right)} - i\right)"," ",0,"(-I*e^(-x) + I*e^(-3*x))/(8*I*e^(-x) - 12*e^(-2*x) - 8*I*e^(-3*x) + 2*e^(-4*x) + 2) - 1/4*log(e^(-x) + I) + 1/4*log(e^(-x) - I)","B",0
222,1,48,0,0.346425," ","integrate(coth(x)/(I+sinh(x))^2,x, algorithm=""maxima"")","\frac{2 i \, e^{\left(-x\right)}}{-2 i \, e^{\left(-x\right)} + e^{\left(-2 \, x\right)} - 1} - \log\left(e^{\left(-x\right)} + 1\right) + 2 \, \log\left(e^{\left(-x\right)} - i\right) - \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"2*I*e^(-x)/(-2*I*e^(-x) + e^(-2*x) - 1) - log(e^(-x) + 1) + 2*log(e^(-x) - I) - log(e^(-x) - 1)","B",0
223,1,54,0,0.356492," ","integrate(coth(x)^2/(I+sinh(x))^2,x, algorithm=""maxima"")","\frac{2 \, e^{\left(-x\right)} + 4 i \, e^{\left(-2 \, x\right)} - 6 i}{e^{\left(-x\right)} + i \, e^{\left(-2 \, x\right)} - e^{\left(-3 \, x\right)} - i} + 2 i \, \log\left(e^{\left(-x\right)} + 1\right) - 2 i \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"(2*e^(-x) + 4*I*e^(-2*x) - 6*I)/(e^(-x) + I*e^(-2*x) - e^(-3*x) - I) + 2*I*log(e^(-x) + 1) - 2*I*log(e^(-x) - 1)","B",0
224,1,64,0,0.387314," ","integrate(coth(x)^3/(I+sinh(x))^2,x, algorithm=""maxima"")","\frac{-4 i \, e^{\left(-x\right)} - 2 \, e^{\left(-2 \, x\right)} + 4 i \, e^{\left(-3 \, x\right)}}{2 \, e^{\left(-2 \, x\right)} - e^{\left(-4 \, x\right)} - 1} + 2 \, \log\left(e^{\left(-x\right)} + 1\right) - 4 \, \log\left(e^{\left(-x\right)} - i\right) + 2 \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"(-4*I*e^(-x) - 2*e^(-2*x) + 4*I*e^(-3*x))/(2*e^(-2*x) - e^(-4*x) - 1) + 2*log(e^(-x) + 1) - 4*log(e^(-x) - I) + 2*log(e^(-x) - 1)","B",0
225,1,67,0,0.336090," ","integrate(coth(x)^4/(I+sinh(x))^2,x, algorithm=""maxima"")","\frac{-6 i \, e^{\left(-x\right)} - 24 \, e^{\left(-2 \, x\right)} + 6 \, e^{\left(-4 \, x\right)} + 6 i \, e^{\left(-5 \, x\right)} + 10}{3 \, {\left(3 \, e^{\left(-2 \, x\right)} - 3 \, e^{\left(-4 \, x\right)} + e^{\left(-6 \, x\right)} - 1\right)}} - i \, \log\left(e^{\left(-x\right)} + 1\right) + i \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"1/3*(-6*I*e^(-x) - 24*e^(-2*x) + 6*e^(-4*x) + 6*I*e^(-5*x) + 10)/(3*e^(-2*x) - 3*e^(-4*x) + e^(-6*x) - 1) - I*log(e^(-x) + 1) + I*log(e^(-x) - 1)","B",0
226,1,171,0,0.334882," ","integrate(coth(x)^5/(I+sinh(x))^2,x, algorithm=""maxima"")","\frac{2 \, e^{\left(-2 \, x\right)}}{4 \, e^{\left(-2 \, x\right)} - 6 \, e^{\left(-4 \, x\right)} + 4 \, e^{\left(-6 \, x\right)} - e^{\left(-8 \, x\right)} - 1} - \frac{16 i \, e^{\left(-3 \, x\right)}}{3 \, {\left(4 \, e^{\left(-2 \, x\right)} - 6 \, e^{\left(-4 \, x\right)} + 4 \, e^{\left(-6 \, x\right)} - e^{\left(-8 \, x\right)} - 1\right)}} - \frac{8 \, e^{\left(-4 \, x\right)}}{4 \, e^{\left(-2 \, x\right)} - 6 \, e^{\left(-4 \, x\right)} + 4 \, e^{\left(-6 \, x\right)} - e^{\left(-8 \, x\right)} - 1} + \frac{16 i \, e^{\left(-5 \, x\right)}}{3 \, {\left(4 \, e^{\left(-2 \, x\right)} - 6 \, e^{\left(-4 \, x\right)} + 4 \, e^{\left(-6 \, x\right)} - e^{\left(-8 \, x\right)} - 1\right)}} + \frac{2 \, e^{\left(-6 \, x\right)}}{4 \, e^{\left(-2 \, x\right)} - 6 \, e^{\left(-4 \, x\right)} + 4 \, e^{\left(-6 \, x\right)} - e^{\left(-8 \, x\right)} - 1}"," ",0,"2*e^(-2*x)/(4*e^(-2*x) - 6*e^(-4*x) + 4*e^(-6*x) - e^(-8*x) - 1) - 16/3*I*e^(-3*x)/(4*e^(-2*x) - 6*e^(-4*x) + 4*e^(-6*x) - e^(-8*x) - 1) - 8*e^(-4*x)/(4*e^(-2*x) - 6*e^(-4*x) + 4*e^(-6*x) - e^(-8*x) - 1) + 16/3*I*e^(-5*x)/(4*e^(-2*x) - 6*e^(-4*x) + 4*e^(-6*x) - e^(-8*x) - 1) + 2*e^(-6*x)/(4*e^(-2*x) - 6*e^(-4*x) + 4*e^(-6*x) - e^(-8*x) - 1)","B",0
227,1,103,0,0.356997," ","integrate(coth(x)^6/(I+sinh(x))^2,x, algorithm=""maxima"")","\frac{-15 i \, e^{\left(-x\right)} - 80 \, e^{\left(-2 \, x\right)} - 90 i \, e^{\left(-3 \, x\right)} + 40 \, e^{\left(-4 \, x\right)} - 240 \, e^{\left(-6 \, x\right)} + 90 i \, e^{\left(-7 \, x\right)} + 60 \, e^{\left(-8 \, x\right)} + 15 i \, e^{\left(-9 \, x\right)} + 28}{30 \, {\left(5 \, e^{\left(-2 \, x\right)} - 10 \, e^{\left(-4 \, x\right)} + 10 \, e^{\left(-6 \, x\right)} - 5 \, e^{\left(-8 \, x\right)} + e^{\left(-10 \, x\right)} - 1\right)}} - \frac{1}{4} i \, \log\left(e^{\left(-x\right)} + 1\right) + \frac{1}{4} i \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"1/30*(-15*I*e^(-x) - 80*e^(-2*x) - 90*I*e^(-3*x) + 40*e^(-4*x) - 240*e^(-6*x) + 90*I*e^(-7*x) + 60*e^(-8*x) + 15*I*e^(-9*x) + 28)/(5*e^(-2*x) - 10*e^(-4*x) + 10*e^(-6*x) - 5*e^(-8*x) + e^(-10*x) - 1) - 1/4*I*log(e^(-x) + 1) + 1/4*I*log(e^(-x) - 1)","B",0
228,1,241,0,0.440207," ","integrate(tanh(x)^4/(a+b*sinh(x)),x, algorithm=""maxima"")","\frac{a^{4} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}}} - \frac{2 \, {\left(6 \, a^{3} e^{\left(-2 \, x\right)} + 4 \, a^{3} + a b^{2} + 3 \, {\left(2 \, a^{2} b + b^{3}\right)} e^{\left(-x\right)} + 2 \, {\left(4 \, a^{2} b + b^{3}\right)} e^{\left(-3 \, x\right)} + 3 \, {\left(2 \, a^{3} + a b^{2}\right)} e^{\left(-4 \, x\right)} + 3 \, {\left(2 \, a^{2} b + b^{3}\right)} e^{\left(-5 \, x\right)}\right)}}{3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4} + 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-2 \, x\right)} + 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-4 \, x\right)} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-6 \, x\right)}\right)}}"," ",0,"a^4*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)) - 2/3*(6*a^3*e^(-2*x) + 4*a^3 + a*b^2 + 3*(2*a^2*b + b^3)*e^(-x) + 2*(4*a^2*b + b^3)*e^(-3*x) + 3*(2*a^3 + a*b^2)*e^(-4*x) + 3*(2*a^2*b + b^3)*e^(-5*x))/(a^4 + 2*a^2*b^2 + b^4 + 3*(a^4 + 2*a^2*b^2 + b^4)*e^(-2*x) + 3*(a^4 + 2*a^2*b^2 + b^4)*e^(-4*x) + (a^4 + 2*a^2*b^2 + b^4)*e^(-6*x))","B",0
229,1,160,0,0.507225," ","integrate(tanh(x)^3/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{a^{3} \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{a^{3} \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{{\left(3 \, a^{2} b + b^{3}\right)} \arctan\left(e^{\left(-x\right)}\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{b e^{\left(-x\right)} - 2 \, a e^{\left(-2 \, x\right)} - b e^{\left(-3 \, x\right)}}{a^{2} + b^{2} + 2 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, x\right)} + {\left(a^{2} + b^{2}\right)} e^{\left(-4 \, x\right)}}"," ",0,"-a^3*log(-2*a*e^(-x) + b*e^(-2*x) - b)/(a^4 + 2*a^2*b^2 + b^4) + a^3*log(e^(-2*x) + 1)/(a^4 + 2*a^2*b^2 + b^4) - (3*a^2*b + b^3)*arctan(e^(-x))/(a^4 + 2*a^2*b^2 + b^4) - (b*e^(-x) - 2*a*e^(-2*x) - b*e^(-3*x))/(a^2 + b^2 + 2*(a^2 + b^2)*e^(-2*x) + (a^2 + b^2)*e^(-4*x))","A",0
230,1,89,0,0.453565," ","integrate(tanh(x)^2/(a+b*sinh(x)),x, algorithm=""maxima"")","\frac{a^{2} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}}} - \frac{2 \, {\left(b e^{\left(-x\right)} + a\right)}}{a^{2} + b^{2} + {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, x\right)}}"," ",0,"a^2*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(a^2 + b^2)^(3/2) - 2*(b*e^(-x) + a)/(a^2 + b^2 + (a^2 + b^2)*e^(-2*x))","A",0
231,1,66,0,0.499044," ","integrate(tanh(x)/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{2 \, b \arctan\left(e^{\left(-x\right)}\right)}{a^{2} + b^{2}} - \frac{a \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a^{2} + b^{2}} + \frac{a \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{2} + b^{2}}"," ",0,"-2*b*arctan(e^(-x))/(a^2 + b^2) - a*log(-2*a*e^(-x) + b*e^(-2*x) - b)/(a^2 + b^2) + a*log(e^(-2*x) + 1)/(a^2 + b^2)","A",0
232,1,46,0,0.365439," ","integrate(coth(x)/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{\log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a} + \frac{\log\left(e^{\left(-x\right)} + 1\right)}{a} + \frac{\log\left(e^{\left(-x\right)} - 1\right)}{a}"," ",0,"-log(-2*a*e^(-x) + b*e^(-2*x) - b)/a + log(e^(-x) + 1)/a + log(e^(-x) - 1)/a","B",0
233,1,97,0,0.463592," ","integrate(coth(x)^2/(a+b*sinh(x)),x, algorithm=""maxima"")","\frac{b \log\left(e^{\left(-x\right)} + 1\right)}{a^{2}} - \frac{b \log\left(e^{\left(-x\right)} - 1\right)}{a^{2}} + \frac{\sqrt{a^{2} + b^{2}} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{a^{2}} + \frac{2}{a e^{\left(-2 \, x\right)} - a}"," ",0,"b*log(e^(-x) + 1)/a^2 - b*log(e^(-x) - 1)/a^2 + sqrt(a^2 + b^2)*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/a^2 + 2/(a*e^(-2*x) - a)","A",0
234,1,116,0,0.350359," ","integrate(coth(x)^3/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{2 \, {\left(b e^{\left(-x\right)} - a e^{\left(-2 \, x\right)} - b e^{\left(-3 \, x\right)}\right)}}{2 \, a^{2} e^{\left(-2 \, x\right)} - a^{2} e^{\left(-4 \, x\right)} - a^{2}} - \frac{{\left(a^{2} + b^{2}\right)} \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a^{3}} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(e^{\left(-x\right)} + 1\right)}{a^{3}} + \frac{{\left(a^{2} + b^{2}\right)} \log\left(e^{\left(-x\right)} - 1\right)}{a^{3}}"," ",0,"-2*(b*e^(-x) - a*e^(-2*x) - b*e^(-3*x))/(2*a^2*e^(-2*x) - a^2*e^(-4*x) - a^2) - (a^2 + b^2)*log(-2*a*e^(-x) + b*e^(-2*x) - b)/a^3 + (a^2 + b^2)*log(e^(-x) + 1)/a^3 + (a^2 + b^2)*log(e^(-x) - 1)/a^3","B",0
235,1,212,0,0.459862," ","integrate(coth(x)^4/(a+b*sinh(x)),x, algorithm=""maxima"")","-\frac{3 \, a b e^{\left(-x\right)} - 3 \, a b e^{\left(-5 \, x\right)} - 8 \, a^{2} - 6 \, b^{2} + 12 \, {\left(a^{2} + b^{2}\right)} e^{\left(-2 \, x\right)} - 6 \, {\left(2 \, a^{2} + b^{2}\right)} e^{\left(-4 \, x\right)}}{3 \, {\left(3 \, a^{3} e^{\left(-2 \, x\right)} - 3 \, a^{3} e^{\left(-4 \, x\right)} + a^{3} e^{\left(-6 \, x\right)} - a^{3}\right)}} + \frac{{\left(3 \, a^{2} b + 2 \, b^{3}\right)} \log\left(e^{\left(-x\right)} + 1\right)}{2 \, a^{4}} - \frac{{\left(3 \, a^{2} b + 2 \, b^{3}\right)} \log\left(e^{\left(-x\right)} - 1\right)}{2 \, a^{4}} + \frac{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{4}}"," ",0,"-1/3*(3*a*b*e^(-x) - 3*a*b*e^(-5*x) - 8*a^2 - 6*b^2 + 12*(a^2 + b^2)*e^(-2*x) - 6*(2*a^2 + b^2)*e^(-4*x))/(3*a^3*e^(-2*x) - 3*a^3*e^(-4*x) + a^3*e^(-6*x) - a^3) + 1/2*(3*a^2*b + 2*b^3)*log(e^(-x) + 1)/a^4 - 1/2*(3*a^2*b + 2*b^3)*log(e^(-x) - 1)/a^4 + (a^4 + 2*a^2*b^2 + b^4)*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^4)","B",0
236,1,523,0,0.446577," ","integrate(tanh(x)^4/(a+b*sinh(x))^2,x, algorithm=""maxima"")","\frac{{\left(a^{2} - 4 \, b^{2}\right)} a^{3} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \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{2 \, {\left(7 \, a^{4} b - 9 \, a^{2} b^{3} - b^{5} + {\left(11 \, a^{5} - 6 \, a^{3} b^{2} - 2 \, a b^{4}\right)} e^{\left(-x\right)} + {\left(35 \, a^{4} b - 9 \, a^{2} b^{3} + b^{5}\right)} e^{\left(-2 \, x\right)} + {\left(21 \, a^{5} - 32 \, a^{3} b^{2} - 8 \, a b^{4}\right)} e^{\left(-3 \, x\right)} + {\left(41 \, a^{4} b - 7 \, a^{2} b^{3} - 3 \, b^{5}\right)} e^{\left(-4 \, x\right)} + {\left(21 \, a^{5} - 22 \, a^{3} b^{2} + 2 \, a b^{4}\right)} e^{\left(-5 \, x\right)} + 3 \, {\left(7 \, a^{4} b + 3 \, a^{2} b^{3} + b^{5}\right)} e^{\left(-6 \, x\right)} + 3 \, {\left(a^{5} - 4 \, a^{3} b^{2}\right)} e^{\left(-7 \, x\right)}\right)}}{3 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7} + 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} e^{\left(-x\right)} + 2 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} e^{\left(-2 \, x\right)} + 6 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} e^{\left(-3 \, x\right)} + 6 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} e^{\left(-5 \, x\right)} - 2 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} e^{\left(-6 \, x\right)} + 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} e^{\left(-7 \, x\right)} - {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} e^{\left(-8 \, x\right)}\right)}}"," ",0,"(a^2 - 4*b^2)*a^3*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sqrt(a^2 + b^2)) - 2/3*(7*a^4*b - 9*a^2*b^3 - b^5 + (11*a^5 - 6*a^3*b^2 - 2*a*b^4)*e^(-x) + (35*a^4*b - 9*a^2*b^3 + b^5)*e^(-2*x) + (21*a^5 - 32*a^3*b^2 - 8*a*b^4)*e^(-3*x) + (41*a^4*b - 7*a^2*b^3 - 3*b^5)*e^(-4*x) + (21*a^5 - 22*a^3*b^2 + 2*a*b^4)*e^(-5*x) + 3*(7*a^4*b + 3*a^2*b^3 + b^5)*e^(-6*x) + 3*(a^5 - 4*a^3*b^2)*e^(-7*x))/(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7 + 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*e^(-x) + 2*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*e^(-2*x) + 6*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*e^(-3*x) + 6*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*e^(-5*x) - 2*(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*e^(-6*x) + 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*e^(-7*x) - (a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*e^(-8*x))","B",0
237,1,375,0,0.467695," ","integrate(tanh(x)^3/(a+b*sinh(x))^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(3 \, a^{3} b - a b^{3}\right)} \arctan\left(e^{\left(-x\right)}\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} - \frac{{\left(a^{4} - 3 \, a^{2} b^{2}\right)} \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} + \frac{{\left(a^{4} - 3 \, a^{2} b^{2}\right)} \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} + \frac{2 \, {\left(4 \, a^{3} e^{\left(-3 \, x\right)} + {\left(a^{3} - a b^{2}\right)} e^{\left(-x\right)} - {\left(a^{2} b + b^{3}\right)} e^{\left(-2 \, x\right)} + {\left(a^{2} b + b^{3}\right)} e^{\left(-4 \, x\right)} + {\left(a^{3} - a b^{2}\right)} e^{\left(-5 \, x\right)}\right)}}{a^{4} b + 2 \, a^{2} b^{3} + b^{5} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} e^{\left(-x\right)} + {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} e^{\left(-2 \, x\right)} + 4 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} e^{\left(-3 \, x\right)} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} e^{\left(-4 \, x\right)} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} e^{\left(-5 \, x\right)} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} e^{\left(-6 \, x\right)}}"," ",0,"-2*(3*a^3*b - a*b^3)*arctan(e^(-x))/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - (a^4 - 3*a^2*b^2)*log(-2*a*e^(-x) + b*e^(-2*x) - b)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + (a^4 - 3*a^2*b^2)*log(e^(-2*x) + 1)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + 2*(4*a^3*e^(-3*x) + (a^3 - a*b^2)*e^(-x) - (a^2*b + b^3)*e^(-2*x) + (a^2*b + b^3)*e^(-4*x) + (a^3 - a*b^2)*e^(-5*x))/(a^4*b + 2*a^2*b^3 + b^5 + 2*(a^5 + 2*a^3*b^2 + a*b^4)*e^(-x) + (a^4*b + 2*a^2*b^3 + b^5)*e^(-2*x) + 4*(a^5 + 2*a^3*b^2 + a*b^4)*e^(-3*x) - (a^4*b + 2*a^2*b^3 + b^5)*e^(-4*x) + 2*(a^5 + 2*a^3*b^2 + a*b^4)*e^(-5*x) - (a^4*b + 2*a^2*b^3 + b^5)*e^(-6*x))","B",0
238,1,223,0,0.522837," ","integrate(tanh(x)^2/(a+b*sinh(x))^2,x, algorithm=""maxima"")","\frac{{\left(a^{2} - 2 \, b^{2}\right)} a \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}}} - \frac{2 \, {\left(3 \, a^{3} e^{\left(-x\right)} + 2 \, a^{2} b - b^{3} + {\left(4 \, a^{2} b + b^{3}\right)} e^{\left(-2 \, x\right)} + {\left(a^{3} - 2 \, a b^{2}\right)} e^{\left(-3 \, x\right)}\right)}}{a^{4} b + 2 \, a^{2} b^{3} + b^{5} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} e^{\left(-x\right)} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} e^{\left(-3 \, x\right)} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} e^{\left(-4 \, x\right)}}"," ",0,"(a^2 - 2*b^2)*a*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)) - 2*(3*a^3*e^(-x) + 2*a^2*b - b^3 + (4*a^2*b + b^3)*e^(-2*x) + (a^3 - 2*a*b^2)*e^(-3*x))/(a^4*b + 2*a^2*b^3 + b^5 + 2*(a^5 + 2*a^3*b^2 + a*b^4)*e^(-x) + 2*(a^5 + 2*a^3*b^2 + a*b^4)*e^(-3*x) - (a^4*b + 2*a^2*b^3 + b^5)*e^(-4*x))","A",0
239,1,155,0,0.485107," ","integrate(tanh(x)/(a+b*sinh(x))^2,x, algorithm=""maxima"")","-\frac{4 \, a b \arctan\left(e^{\left(-x\right)}\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{2 \, a e^{\left(-x\right)}}{a^{2} b + b^{3} + 2 \, {\left(a^{3} + a b^{2}\right)} e^{\left(-x\right)} - {\left(a^{2} b + b^{3}\right)} e^{\left(-2 \, x\right)}} - \frac{{\left(a^{2} - b^{2}\right)} \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{{\left(a^{2} - b^{2}\right)} \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}}"," ",0,"-4*a*b*arctan(e^(-x))/(a^4 + 2*a^2*b^2 + b^4) + 2*a*e^(-x)/(a^2*b + b^3 + 2*(a^3 + a*b^2)*e^(-x) - (a^2*b + b^3)*e^(-2*x)) - (a^2 - b^2)*log(-2*a*e^(-x) + b*e^(-2*x) - b)/(a^4 + 2*a^2*b^2 + b^4) + (a^2 - b^2)*log(e^(-2*x) + 1)/(a^4 + 2*a^2*b^2 + b^4)","A",0
240,1,75,0,0.328784," ","integrate(coth(x)/(a+b*sinh(x))^2,x, algorithm=""maxima"")","\frac{2 \, e^{\left(-x\right)}}{2 \, a^{2} e^{\left(-x\right)} - a b e^{\left(-2 \, x\right)} + a b} - \frac{\log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a^{2}} + \frac{\log\left(e^{\left(-x\right)} + 1\right)}{a^{2}} + \frac{\log\left(e^{\left(-x\right)} - 1\right)}{a^{2}}"," ",0,"2*e^(-x)/(2*a^2*e^(-x) - a*b*e^(-2*x) + a*b) - log(-2*a*e^(-x) + b*e^(-2*x) - b)/a^2 + log(e^(-x) + 1)/a^2 + log(e^(-x) - 1)/a^2","B",0
241,1,165,0,0.474218," ","integrate(coth(x)^2/(a+b*sinh(x))^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(3 \, a e^{\left(-x\right)} - 2 \, b e^{\left(-2 \, x\right)} - a e^{\left(-3 \, x\right)} + 2 \, b\right)}}{2 \, a^{3} e^{\left(-x\right)} - 2 \, a^{2} b e^{\left(-2 \, x\right)} - 2 \, a^{3} e^{\left(-3 \, x\right)} + a^{2} b e^{\left(-4 \, x\right)} + a^{2} b} + \frac{2 \, b \log\left(e^{\left(-x\right)} + 1\right)}{a^{3}} - \frac{2 \, b \log\left(e^{\left(-x\right)} - 1\right)}{a^{3}} + \frac{{\left(a^{2} + 2 \, b^{2}\right)} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{3}}"," ",0,"-2*(3*a*e^(-x) - 2*b*e^(-2*x) - a*e^(-3*x) + 2*b)/(2*a^3*e^(-x) - 2*a^2*b*e^(-2*x) - 2*a^3*e^(-3*x) + a^2*b*e^(-4*x) + a^2*b) + 2*b*log(e^(-x) + 1)/a^3 - 2*b*log(e^(-x) - 1)/a^3 + (a^2 + 2*b^2)*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3)","B",0
242,1,202,0,0.364800," ","integrate(coth(x)^3/(a+b*sinh(x))^2,x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, a b e^{\left(-2 \, x\right)} - 3 \, a b e^{\left(-4 \, x\right)} + {\left(a^{2} + 3 \, b^{2}\right)} e^{\left(-x\right)} - 2 \, {\left(2 \, a^{2} + 3 \, b^{2}\right)} e^{\left(-3 \, x\right)} + {\left(a^{2} + 3 \, b^{2}\right)} e^{\left(-5 \, x\right)}\right)}}{2 \, a^{4} e^{\left(-x\right)} - 3 \, a^{3} b e^{\left(-2 \, x\right)} - 4 \, a^{4} e^{\left(-3 \, x\right)} + 3 \, a^{3} b e^{\left(-4 \, x\right)} + 2 \, a^{4} e^{\left(-5 \, x\right)} - a^{3} b e^{\left(-6 \, x\right)} + a^{3} b} - \frac{{\left(a^{2} + 3 \, b^{2}\right)} \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a^{4}} + \frac{{\left(a^{2} + 3 \, b^{2}\right)} \log\left(e^{\left(-x\right)} + 1\right)}{a^{4}} + \frac{{\left(a^{2} + 3 \, b^{2}\right)} \log\left(e^{\left(-x\right)} - 1\right)}{a^{4}}"," ",0,"2*(3*a*b*e^(-2*x) - 3*a*b*e^(-4*x) + (a^2 + 3*b^2)*e^(-x) - 2*(2*a^2 + 3*b^2)*e^(-3*x) + (a^2 + 3*b^2)*e^(-5*x))/(2*a^4*e^(-x) - 3*a^3*b*e^(-2*x) - 4*a^4*e^(-3*x) + 3*a^3*b*e^(-4*x) + 2*a^4*e^(-5*x) - a^3*b*e^(-6*x) + a^3*b) - (a^2 + 3*b^2)*log(-2*a*e^(-x) + b*e^(-2*x) - b)/a^4 + (a^2 + 3*b^2)*log(e^(-x) + 1)/a^4 + (a^2 + 3*b^2)*log(e^(-x) - 1)/a^4","B",0
243,1,339,0,0.450113," ","integrate(coth(x)^4/(a+b*sinh(x))^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(7 \, a^{2} b + 12 \, b^{3} + {\left(11 \, a^{3} + 18 \, a b^{2}\right)} e^{\left(-x\right)} - {\left(25 \, a^{2} b + 36 \, b^{3}\right)} e^{\left(-2 \, x\right)} - 21 \, {\left(a^{3} + 2 \, a b^{2}\right)} e^{\left(-3 \, x\right)} + 3 \, {\left(7 \, a^{2} b + 12 \, b^{3}\right)} e^{\left(-4 \, x\right)} + 3 \, {\left(7 \, a^{3} + 10 \, a b^{2}\right)} e^{\left(-5 \, x\right)} - 3 \, {\left(a^{2} b + 4 \, b^{3}\right)} e^{\left(-6 \, x\right)} - 3 \, {\left(a^{3} + 2 \, a b^{2}\right)} e^{\left(-7 \, x\right)}\right)}}{3 \, {\left(2 \, a^{5} e^{\left(-x\right)} - 4 \, a^{4} b e^{\left(-2 \, x\right)} - 6 \, a^{5} e^{\left(-3 \, x\right)} + 6 \, a^{4} b e^{\left(-4 \, x\right)} + 6 \, a^{5} e^{\left(-5 \, x\right)} - 4 \, a^{4} b e^{\left(-6 \, x\right)} - 2 \, a^{5} e^{\left(-7 \, x\right)} + a^{4} b e^{\left(-8 \, x\right)} + a^{4} b\right)}} + \frac{{\left(3 \, a^{2} b + 4 \, b^{3}\right)} \log\left(e^{\left(-x\right)} + 1\right)}{a^{5}} - \frac{{\left(3 \, a^{2} b + 4 \, b^{3}\right)} \log\left(e^{\left(-x\right)} - 1\right)}{a^{5}} + \frac{{\left(a^{4} + 5 \, a^{2} b^{2} + 4 \, b^{4}\right)} \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a^{5}}"," ",0,"-2/3*(7*a^2*b + 12*b^3 + (11*a^3 + 18*a*b^2)*e^(-x) - (25*a^2*b + 36*b^3)*e^(-2*x) - 21*(a^3 + 2*a*b^2)*e^(-3*x) + 3*(7*a^2*b + 12*b^3)*e^(-4*x) + 3*(7*a^3 + 10*a*b^2)*e^(-5*x) - 3*(a^2*b + 4*b^3)*e^(-6*x) - 3*(a^3 + 2*a*b^2)*e^(-7*x))/(2*a^5*e^(-x) - 4*a^4*b*e^(-2*x) - 6*a^5*e^(-3*x) + 6*a^4*b*e^(-4*x) + 6*a^5*e^(-5*x) - 4*a^4*b*e^(-6*x) - 2*a^5*e^(-7*x) + a^4*b*e^(-8*x) + a^4*b) + (3*a^2*b + 4*b^3)*log(e^(-x) + 1)/a^5 - (3*a^2*b + 4*b^3)*log(e^(-x) - 1)/a^5 + (a^4 + 5*a^2*b^2 + 4*b^4)*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^5)","B",0
244,0,0,0,0.000000," ","integrate(coth(x)*(a+b*sinh(x))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sinh\left(x\right) + a} \coth\left(x\right)\,{d x}"," ",0,"integrate(sqrt(b*sinh(x) + a)*coth(x), x)","F",0
245,0,0,0,0.000000," ","integrate(coth(x)/(a+b*sinh(x))^(1/2),x, algorithm=""maxima"")","\int \frac{\coth\left(x\right)}{\sqrt{b \sinh\left(x\right) + a}}\,{d x}"," ",0,"integrate(coth(x)/sqrt(b*sinh(x) + a), x)","F",0
246,1,68,0,0.451123," ","integrate((A+B*cosh(x))/(a+b*sinh(x)),x, algorithm=""maxima"")","\frac{A \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}}} + \frac{B \log\left(b \sinh\left(x\right) + a\right)}{b}"," ",0,"A*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/sqrt(a^2 + b^2) + B*log(b*sinh(x) + a)/b","A",0
247,1,19,0,0.355826," ","integrate((A+B*cosh(x))/(I+sinh(x)),x, algorithm=""maxima"")","B \log\left(\sinh\left(x\right) + i\right) - \frac{2 \, A}{e^{\left(-x\right)} - i}"," ",0,"B*log(sinh(x) + I) - 2*A/(e^(-x) - I)","A",0
248,1,20,0,0.371478," ","integrate((A+B*cosh(x))/(I-sinh(x)),x, algorithm=""maxima"")","-B \log\left(\sinh\left(x\right) - i\right) + \frac{2 \, A}{e^{\left(-x\right)} + i}"," ",0,"-B*log(sinh(x) - I) + 2*A/(e^(-x) + I)","A",0
249,1,125,0,0.466441," ","integrate((A+B*tanh(x))/(a+b*sinh(x)),x, algorithm=""maxima"")","-B {\left(\frac{2 \, b \arctan\left(e^{\left(-x\right)}\right)}{a^{2} + b^{2}} + \frac{a \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a^{2} + b^{2}} - \frac{a \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{2} + b^{2}}\right)} + \frac{A \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}}}"," ",0,"-B*(2*b*arctan(e^(-x))/(a^2 + b^2) + a*log(-2*a*e^(-x) + b*e^(-2*x) - b)/(a^2 + b^2) - a*log(e^(-2*x) + 1)/(a^2 + b^2)) + A*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/sqrt(a^2 + b^2)","A",0
250,1,106,0,0.479373," ","integrate((A+B*coth(x))/(a+b*sinh(x)),x, algorithm=""maxima"")","-B {\left(\frac{\log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a} - \frac{\log\left(e^{\left(-x\right)} + 1\right)}{a} - \frac{\log\left(e^{\left(-x\right)} - 1\right)}{a}\right)} + \frac{A \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}}}"," ",0,"-B*(log(-2*a*e^(-x) + b*e^(-2*x) - b)/a - log(e^(-x) + 1)/a - log(e^(-x) - 1)/a) + A*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/sqrt(a^2 + b^2)","A",0
251,1,125,0,0.534779," ","integrate((A+B*sech(x))/(a+b*sinh(x)),x, algorithm=""maxima"")","-B {\left(\frac{2 \, a \arctan\left(e^{\left(-x\right)}\right)}{a^{2} + b^{2}} - \frac{b \log\left(-2 \, a e^{\left(-x\right)} + b e^{\left(-2 \, x\right)} - b\right)}{a^{2} + b^{2}} + \frac{b \log\left(e^{\left(-2 \, x\right)} + 1\right)}{a^{2} + b^{2}}\right)} + \frac{A \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}}}"," ",0,"-B*(2*a*arctan(e^(-x))/(a^2 + b^2) - b*log(-2*a*e^(-x) + b*e^(-2*x) - b)/(a^2 + b^2) + b*log(e^(-2*x) + 1)/(a^2 + b^2)) + A*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/sqrt(a^2 + b^2)","A",0
252,1,141,0,0.461523," ","integrate((A+B*csch(x))/(a+b*sinh(x)),x, algorithm=""maxima"")","-B {\left(\frac{b \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a} + \frac{\log\left(e^{\left(-x\right)} + 1\right)}{a} - \frac{\log\left(e^{\left(-x\right)} - 1\right)}{a}\right)} + \frac{A \log\left(\frac{b e^{\left(-x\right)} - a - \sqrt{a^{2} + b^{2}}}{b e^{\left(-x\right)} - a + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}}}"," ",0,"-B*(b*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a) + log(e^(-x) + 1)/a - log(e^(-x) - 1)/a) + A*log((b*e^(-x) - a - sqrt(a^2 + b^2))/(b*e^(-x) - a + sqrt(a^2 + b^2)))/sqrt(a^2 + b^2)","B",0
253,1,176,0,0.442106," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d)),x, algorithm=""maxima"")","-C {\left(\frac{a \log\left(\frac{c e^{\left(-e x - d\right)} - a - \sqrt{a^{2} + c^{2}}}{c e^{\left(-e x - d\right)} - a + \sqrt{a^{2} + c^{2}}}\right)}{\sqrt{a^{2} + c^{2}} c e} - \frac{e x + d}{c e}\right)} + \frac{A \log\left(\frac{c e^{\left(-e x - d\right)} - a - \sqrt{a^{2} + c^{2}}}{c e^{\left(-e x - d\right)} - a + \sqrt{a^{2} + c^{2}}}\right)}{\sqrt{a^{2} + c^{2}} e} + \frac{B \log\left(c \sinh\left(e x + d\right) + a\right)}{c e}"," ",0,"-C*(a*log((c*e^(-e*x - d) - a - sqrt(a^2 + c^2))/(c*e^(-e*x - d) - a + sqrt(a^2 + c^2)))/(sqrt(a^2 + c^2)*c*e) - (e*x + d)/(c*e)) + A*log((c*e^(-e*x - d) - a - sqrt(a^2 + c^2))/(c*e^(-e*x - d) - a + sqrt(a^2 + c^2)))/(sqrt(a^2 + c^2)*e) + B*log(c*sinh(e*x + d) + a)/(c*e)","B",0
254,1,339,0,0.448663," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d))^2,x, algorithm=""maxima"")","A {\left(\frac{a \log\left(\frac{c e^{\left(-e x - d\right)} - a - \sqrt{a^{2} + c^{2}}}{c e^{\left(-e x - d\right)} - a + \sqrt{a^{2} + c^{2}}}\right)}{{\left(a^{2} + c^{2}\right)}^{\frac{3}{2}} e} - \frac{2 \, {\left(a e^{\left(-e x - d\right)} + c\right)}}{{\left(a^{2} c + c^{3} + 2 \, {\left(a^{3} + a c^{2}\right)} e^{\left(-e x - d\right)} - {\left(a^{2} c + c^{3}\right)} e^{\left(-2 \, e x - 2 \, d\right)}\right)} e}\right)} + C {\left(\frac{c \log\left(\frac{c e^{\left(-e x - d\right)} - a - \sqrt{a^{2} + c^{2}}}{c e^{\left(-e x - d\right)} - a + \sqrt{a^{2} + c^{2}}}\right)}{{\left(a^{2} + c^{2}\right)}^{\frac{3}{2}} e} + \frac{2 \, {\left(a^{2} e^{\left(-e x - d\right)} + a c\right)}}{{\left(a^{2} c^{2} + c^{4} + 2 \, {\left(a^{3} c + a c^{3}\right)} e^{\left(-e x - d\right)} - {\left(a^{2} c^{2} + c^{4}\right)} e^{\left(-2 \, e x - 2 \, d\right)}\right)} e}\right)} - \frac{2 \, B e^{\left(-e x - d\right)}}{{\left(2 \, a c e^{\left(-e x - d\right)} - c^{2} e^{\left(-2 \, e x - 2 \, d\right)} + c^{2}\right)} e}"," ",0,"A*(a*log((c*e^(-e*x - d) - a - sqrt(a^2 + c^2))/(c*e^(-e*x - d) - a + sqrt(a^2 + c^2)))/((a^2 + c^2)^(3/2)*e) - 2*(a*e^(-e*x - d) + c)/((a^2*c + c^3 + 2*(a^3 + a*c^2)*e^(-e*x - d) - (a^2*c + c^3)*e^(-2*e*x - 2*d))*e)) + C*(c*log((c*e^(-e*x - d) - a - sqrt(a^2 + c^2))/(c*e^(-e*x - d) - a + sqrt(a^2 + c^2)))/((a^2 + c^2)^(3/2)*e) + 2*(a^2*e^(-e*x - d) + a*c)/((a^2*c^2 + c^4 + 2*(a^3*c + a*c^3)*e^(-e*x - d) - (a^2*c^2 + c^4)*e^(-2*e*x - 2*d))*e)) - 2*B*e^(-e*x - d)/((2*a*c*e^(-e*x - d) - c^2*e^(-2*e*x - 2*d) + c^2)*e)","B",0
255,1,726,0,0.466923," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d))^3,x, algorithm=""maxima"")","\frac{1}{2} \, C {\left(\frac{3 \, a c \log\left(\frac{c e^{\left(-e x - d\right)} - a - \sqrt{a^{2} + c^{2}}}{c e^{\left(-e x - d\right)} - a + \sqrt{a^{2} + c^{2}}}\right)}{{\left(a^{4} + 2 \, a^{2} c^{2} + c^{4}\right)} \sqrt{a^{2} + c^{2}} e} + \frac{2 \, {\left(3 \, a c^{3} e^{\left(-3 \, e x - 3 \, d\right)} + a^{2} c^{2} - 2 \, c^{4} + {\left(4 \, a^{3} c - 5 \, a c^{3}\right)} e^{\left(-e x - d\right)} + {\left(2 \, a^{4} - 5 \, a^{2} c^{2} + 2 \, c^{4}\right)} e^{\left(-2 \, e x - 2 \, d\right)}\right)}}{{\left(a^{4} c^{3} + 2 \, a^{2} c^{5} + c^{7} + 4 \, {\left(a^{5} c^{2} + 2 \, a^{3} c^{4} + a c^{6}\right)} e^{\left(-e x - d\right)} + 2 \, {\left(2 \, a^{6} c + 3 \, a^{4} c^{3} - c^{7}\right)} e^{\left(-2 \, e x - 2 \, d\right)} - 4 \, {\left(a^{5} c^{2} + 2 \, a^{3} c^{4} + a c^{6}\right)} e^{\left(-3 \, e x - 3 \, d\right)} + {\left(a^{4} c^{3} + 2 \, a^{2} c^{5} + c^{7}\right)} e^{\left(-4 \, e x - 4 \, d\right)}\right)} e}\right)} + \frac{1}{2} \, A {\left(\frac{{\left(2 \, a^{2} - c^{2}\right)} \log\left(\frac{c e^{\left(-e x - d\right)} - a - \sqrt{a^{2} + c^{2}}}{c e^{\left(-e x - d\right)} - a + \sqrt{a^{2} + c^{2}}}\right)}{{\left(a^{4} + 2 \, a^{2} c^{2} + c^{4}\right)} \sqrt{a^{2} + c^{2}} e} - \frac{2 \, {\left(3 \, a c^{2} + {\left(10 \, a^{2} c + c^{3}\right)} e^{\left(-e x - d\right)} + 3 \, {\left(2 \, a^{3} - a c^{2}\right)} e^{\left(-2 \, e x - 2 \, d\right)} - {\left(2 \, a^{2} c - c^{3}\right)} e^{\left(-3 \, e x - 3 \, d\right)}\right)}}{{\left(a^{4} c^{2} + 2 \, a^{2} c^{4} + c^{6} + 4 \, {\left(a^{5} c + 2 \, a^{3} c^{3} + a c^{5}\right)} e^{\left(-e x - d\right)} + 2 \, {\left(2 \, a^{6} + 3 \, a^{4} c^{2} - c^{6}\right)} e^{\left(-2 \, e x - 2 \, d\right)} - 4 \, {\left(a^{5} c + 2 \, a^{3} c^{3} + a c^{5}\right)} e^{\left(-3 \, e x - 3 \, d\right)} + {\left(a^{4} c^{2} + 2 \, a^{2} c^{4} + c^{6}\right)} e^{\left(-4 \, e x - 4 \, d\right)}\right)} e}\right)} - \frac{2 \, B e^{\left(-2 \, e x - 2 \, d\right)}}{{\left(4 \, a c^{2} e^{\left(-e x - d\right)} - 4 \, a c^{2} e^{\left(-3 \, e x - 3 \, d\right)} + c^{3} e^{\left(-4 \, e x - 4 \, d\right)} + c^{3} + 2 \, {\left(2 \, a^{2} c - c^{3}\right)} e^{\left(-2 \, e x - 2 \, d\right)}\right)} e}"," ",0,"1/2*C*(3*a*c*log((c*e^(-e*x - d) - a - sqrt(a^2 + c^2))/(c*e^(-e*x - d) - a + sqrt(a^2 + c^2)))/((a^4 + 2*a^2*c^2 + c^4)*sqrt(a^2 + c^2)*e) + 2*(3*a*c^3*e^(-3*e*x - 3*d) + a^2*c^2 - 2*c^4 + (4*a^3*c - 5*a*c^3)*e^(-e*x - d) + (2*a^4 - 5*a^2*c^2 + 2*c^4)*e^(-2*e*x - 2*d))/((a^4*c^3 + 2*a^2*c^5 + c^7 + 4*(a^5*c^2 + 2*a^3*c^4 + a*c^6)*e^(-e*x - d) + 2*(2*a^6*c + 3*a^4*c^3 - c^7)*e^(-2*e*x - 2*d) - 4*(a^5*c^2 + 2*a^3*c^4 + a*c^6)*e^(-3*e*x - 3*d) + (a^4*c^3 + 2*a^2*c^5 + c^7)*e^(-4*e*x - 4*d))*e)) + 1/2*A*((2*a^2 - c^2)*log((c*e^(-e*x - d) - a - sqrt(a^2 + c^2))/(c*e^(-e*x - d) - a + sqrt(a^2 + c^2)))/((a^4 + 2*a^2*c^2 + c^4)*sqrt(a^2 + c^2)*e) - 2*(3*a*c^2 + (10*a^2*c + c^3)*e^(-e*x - d) + 3*(2*a^3 - a*c^2)*e^(-2*e*x - 2*d) - (2*a^2*c - c^3)*e^(-3*e*x - 3*d))/((a^4*c^2 + 2*a^2*c^4 + c^6 + 4*(a^5*c + 2*a^3*c^3 + a*c^5)*e^(-e*x - d) + 2*(2*a^6 + 3*a^4*c^2 - c^6)*e^(-2*e*x - 2*d) - 4*(a^5*c + 2*a^3*c^3 + a*c^5)*e^(-3*e*x - 3*d) + (a^4*c^2 + 2*a^2*c^4 + c^6)*e^(-4*e*x - 4*d))*e)) - 2*B*e^(-2*e*x - 2*d)/((4*a*c^2*e^(-e*x - d) - 4*a*c^2*e^(-3*e*x - 3*d) + c^3*e^(-4*e*x - 4*d) + c^3 + 2*(2*a^2*c - c^3)*e^(-2*e*x - 2*d))*e)","B",0
256,1,1263,0,0.509788," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d))^4,x, algorithm=""maxima"")","\frac{1}{6} \, A {\left(\frac{3 \, {\left(2 \, a^{2} - 3 \, c^{2}\right)} a \log\left(\frac{c e^{\left(-e x - d\right)} - a - \sqrt{a^{2} + c^{2}}}{c e^{\left(-e x - d\right)} - a + \sqrt{a^{2} + c^{2}}}\right)}{{\left(a^{6} + 3 \, a^{4} c^{2} + 3 \, a^{2} c^{4} + c^{6}\right)} \sqrt{a^{2} + c^{2}} e} - \frac{2 \, {\left(11 \, a^{2} c^{3} - 4 \, c^{5} + 15 \, {\left(4 \, a^{3} c^{2} - a c^{4}\right)} e^{\left(-e x - d\right)} + 6 \, {\left(17 \, a^{4} c - 6 \, a^{2} c^{3} + 2 \, c^{5}\right)} e^{\left(-2 \, e x - 2 \, d\right)} + 2 \, {\left(22 \, a^{5} - 41 \, a^{3} c^{2} + 12 \, a c^{4}\right)} e^{\left(-3 \, e x - 3 \, d\right)} - 15 \, {\left(2 \, a^{4} c - 3 \, a^{2} c^{3}\right)} e^{\left(-4 \, e x - 4 \, d\right)} + 3 \, {\left(2 \, a^{3} c^{2} - 3 \, a c^{4}\right)} e^{\left(-5 \, e x - 5 \, d\right)}\right)}}{{\left(a^{6} c^{3} + 3 \, a^{4} c^{5} + 3 \, a^{2} c^{7} + c^{9} + 6 \, {\left(a^{7} c^{2} + 3 \, a^{5} c^{4} + 3 \, a^{3} c^{6} + a c^{8}\right)} e^{\left(-e x - d\right)} + 3 \, {\left(4 \, a^{8} c + 11 \, a^{6} c^{3} + 9 \, a^{4} c^{5} + a^{2} c^{7} - c^{9}\right)} e^{\left(-2 \, e x - 2 \, d\right)} + 4 \, {\left(2 \, a^{9} + 3 \, a^{7} c^{2} - 3 \, a^{5} c^{4} - 7 \, a^{3} c^{6} - 3 \, a c^{8}\right)} e^{\left(-3 \, e x - 3 \, d\right)} - 3 \, {\left(4 \, a^{8} c + 11 \, a^{6} c^{3} + 9 \, a^{4} c^{5} + a^{2} c^{7} - c^{9}\right)} e^{\left(-4 \, e x - 4 \, d\right)} + 6 \, {\left(a^{7} c^{2} + 3 \, a^{5} c^{4} + 3 \, a^{3} c^{6} + a c^{8}\right)} e^{\left(-5 \, e x - 5 \, d\right)} - {\left(a^{6} c^{3} + 3 \, a^{4} c^{5} + 3 \, a^{2} c^{7} + c^{9}\right)} e^{\left(-6 \, e x - 6 \, d\right)}\right)} e}\right)} + \frac{1}{6} \, C {\left(\frac{3 \, {\left(4 \, a^{2} c - c^{3}\right)} \log\left(\frac{c e^{\left(-e x - d\right)} - a - \sqrt{a^{2} + c^{2}}}{c e^{\left(-e x - d\right)} - a + \sqrt{a^{2} + c^{2}}}\right)}{{\left(a^{6} + 3 \, a^{4} c^{2} + 3 \, a^{2} c^{4} + c^{6}\right)} \sqrt{a^{2} + c^{2}} e} + \frac{2 \, {\left(2 \, a^{3} c^{3} - 13 \, a c^{5} + 3 \, {\left(4 \, a^{4} c^{2} - 22 \, a^{2} c^{4} - c^{6}\right)} e^{\left(-e x - d\right)} + 6 \, {\left(4 \, a^{5} c - 17 \, a^{3} c^{3} + 4 \, a c^{5}\right)} e^{\left(-2 \, e x - 2 \, d\right)} + 2 \, {\left(4 \, a^{6} - 32 \, a^{4} c^{2} + 39 \, a^{2} c^{4}\right)} e^{\left(-3 \, e x - 3 \, d\right)} + 15 \, {\left(4 \, a^{3} c^{3} - a c^{5}\right)} e^{\left(-4 \, e x - 4 \, d\right)} - 3 \, {\left(4 \, a^{2} c^{4} - c^{6}\right)} e^{\left(-5 \, e x - 5 \, d\right)}\right)}}{{\left(a^{6} c^{4} + 3 \, a^{4} c^{6} + 3 \, a^{2} c^{8} + c^{10} + 6 \, {\left(a^{7} c^{3} + 3 \, a^{5} c^{5} + 3 \, a^{3} c^{7} + a c^{9}\right)} e^{\left(-e x - d\right)} + 3 \, {\left(4 \, a^{8} c^{2} + 11 \, a^{6} c^{4} + 9 \, a^{4} c^{6} + a^{2} c^{8} - c^{10}\right)} e^{\left(-2 \, e x - 2 \, d\right)} + 4 \, {\left(2 \, a^{9} c + 3 \, a^{7} c^{3} - 3 \, a^{5} c^{5} - 7 \, a^{3} c^{7} - 3 \, a c^{9}\right)} e^{\left(-3 \, e x - 3 \, d\right)} - 3 \, {\left(4 \, a^{8} c^{2} + 11 \, a^{6} c^{4} + 9 \, a^{4} c^{6} + a^{2} c^{8} - c^{10}\right)} e^{\left(-4 \, e x - 4 \, d\right)} + 6 \, {\left(a^{7} c^{3} + 3 \, a^{5} c^{5} + 3 \, a^{3} c^{7} + a c^{9}\right)} e^{\left(-5 \, e x - 5 \, d\right)} - {\left(a^{6} c^{4} + 3 \, a^{4} c^{6} + 3 \, a^{2} c^{8} + c^{10}\right)} e^{\left(-6 \, e x - 6 \, d\right)}\right)} e}\right)} - \frac{8 \, B e^{\left(-3 \, e x - 3 \, d\right)}}{3 \, {\left(6 \, a c^{3} e^{\left(-e x - d\right)} + 6 \, a c^{3} e^{\left(-5 \, e x - 5 \, d\right)} - c^{4} e^{\left(-6 \, e x - 6 \, d\right)} + c^{4} + 3 \, {\left(4 \, a^{2} c^{2} - c^{4}\right)} e^{\left(-2 \, e x - 2 \, d\right)} + 4 \, {\left(2 \, a^{3} c - 3 \, a c^{3}\right)} e^{\left(-3 \, e x - 3 \, d\right)} - 3 \, {\left(4 \, a^{2} c^{2} - c^{4}\right)} e^{\left(-4 \, e x - 4 \, d\right)}\right)} e}"," ",0,"1/6*A*(3*(2*a^2 - 3*c^2)*a*log((c*e^(-e*x - d) - a - sqrt(a^2 + c^2))/(c*e^(-e*x - d) - a + sqrt(a^2 + c^2)))/((a^6 + 3*a^4*c^2 + 3*a^2*c^4 + c^6)*sqrt(a^2 + c^2)*e) - 2*(11*a^2*c^3 - 4*c^5 + 15*(4*a^3*c^2 - a*c^4)*e^(-e*x - d) + 6*(17*a^4*c - 6*a^2*c^3 + 2*c^5)*e^(-2*e*x - 2*d) + 2*(22*a^5 - 41*a^3*c^2 + 12*a*c^4)*e^(-3*e*x - 3*d) - 15*(2*a^4*c - 3*a^2*c^3)*e^(-4*e*x - 4*d) + 3*(2*a^3*c^2 - 3*a*c^4)*e^(-5*e*x - 5*d))/((a^6*c^3 + 3*a^4*c^5 + 3*a^2*c^7 + c^9 + 6*(a^7*c^2 + 3*a^5*c^4 + 3*a^3*c^6 + a*c^8)*e^(-e*x - d) + 3*(4*a^8*c + 11*a^6*c^3 + 9*a^4*c^5 + a^2*c^7 - c^9)*e^(-2*e*x - 2*d) + 4*(2*a^9 + 3*a^7*c^2 - 3*a^5*c^4 - 7*a^3*c^6 - 3*a*c^8)*e^(-3*e*x - 3*d) - 3*(4*a^8*c + 11*a^6*c^3 + 9*a^4*c^5 + a^2*c^7 - c^9)*e^(-4*e*x - 4*d) + 6*(a^7*c^2 + 3*a^5*c^4 + 3*a^3*c^6 + a*c^8)*e^(-5*e*x - 5*d) - (a^6*c^3 + 3*a^4*c^5 + 3*a^2*c^7 + c^9)*e^(-6*e*x - 6*d))*e)) + 1/6*C*(3*(4*a^2*c - c^3)*log((c*e^(-e*x - d) - a - sqrt(a^2 + c^2))/(c*e^(-e*x - d) - a + sqrt(a^2 + c^2)))/((a^6 + 3*a^4*c^2 + 3*a^2*c^4 + c^6)*sqrt(a^2 + c^2)*e) + 2*(2*a^3*c^3 - 13*a*c^5 + 3*(4*a^4*c^2 - 22*a^2*c^4 - c^6)*e^(-e*x - d) + 6*(4*a^5*c - 17*a^3*c^3 + 4*a*c^5)*e^(-2*e*x - 2*d) + 2*(4*a^6 - 32*a^4*c^2 + 39*a^2*c^4)*e^(-3*e*x - 3*d) + 15*(4*a^3*c^3 - a*c^5)*e^(-4*e*x - 4*d) - 3*(4*a^2*c^4 - c^6)*e^(-5*e*x - 5*d))/((a^6*c^4 + 3*a^4*c^6 + 3*a^2*c^8 + c^10 + 6*(a^7*c^3 + 3*a^5*c^5 + 3*a^3*c^7 + a*c^9)*e^(-e*x - d) + 3*(4*a^8*c^2 + 11*a^6*c^4 + 9*a^4*c^6 + a^2*c^8 - c^10)*e^(-2*e*x - 2*d) + 4*(2*a^9*c + 3*a^7*c^3 - 3*a^5*c^5 - 7*a^3*c^7 - 3*a*c^9)*e^(-3*e*x - 3*d) - 3*(4*a^8*c^2 + 11*a^6*c^4 + 9*a^4*c^6 + a^2*c^8 - c^10)*e^(-4*e*x - 4*d) + 6*(a^7*c^3 + 3*a^5*c^5 + 3*a^3*c^7 + a*c^9)*e^(-5*e*x - 5*d) - (a^6*c^4 + 3*a^4*c^6 + 3*a^2*c^8 + c^10)*e^(-6*e*x - 6*d))*e)) - 8/3*B*e^(-3*e*x - 3*d)/((6*a*c^3*e^(-e*x - d) + 6*a*c^3*e^(-5*e*x - 5*d) - c^4*e^(-6*e*x - 6*d) + c^4 + 3*(4*a^2*c^2 - c^4)*e^(-2*e*x - 2*d) + 4*(2*a^3*c - 3*a*c^3)*e^(-3*e*x - 3*d) - 3*(4*a^2*c^2 - c^4)*e^(-4*e*x - 4*d))*e)","B",0
257,0,0,0,0.000000," ","integrate(x^3/(a+b*sinh(x)^2),x, algorithm=""maxima"")","\int \frac{x^{3}}{b \sinh\left(x\right)^{2} + a}\,{d x}"," ",0,"integrate(x^3/(b*sinh(x)^2 + a), x)","F",0
258,0,0,0,0.000000," ","integrate(x^2/(a+b*sinh(x)^2),x, algorithm=""maxima"")","\int \frac{x^{2}}{b \sinh\left(x\right)^{2} + a}\,{d x}"," ",0,"integrate(x^2/(b*sinh(x)^2 + a), x)","F",0
259,0,0,0,0.000000," ","integrate(x/(a+b*sinh(x)^2),x, algorithm=""maxima"")","\int \frac{x}{b \sinh\left(x\right)^{2} + a}\,{d x}"," ",0,"integrate(x/(b*sinh(x)^2 + a), x)","F",0
260,1,42,0,0.454600," ","integrate(cosh(b*x+a)*(-2+sinh(b*x+a)^2)/x,x, algorithm=""maxima"")","\frac{1}{8} \, {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} - \frac{9}{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{9}{8} \, {\rm Ei}\left(b x\right) e^{a}"," ",0,"1/8*Ei(3*b*x)*e^(3*a) - 9/8*Ei(-b*x)*e^(-a) + 1/8*Ei(-3*b*x)*e^(-3*a) - 9/8*Ei(b*x)*e^a","A",0
261,0,0,0,0.000000," ","integrate(sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^3/(-a^2*x^2+1),x, algorithm=""maxima"")","-\int \frac{\sinh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)^{3}}{a^{2} x^{2} - 1}\,{d x}"," ",0,"-integrate(sinh(sqrt(-a*x + 1)/sqrt(a*x + 1))^3/(a^2*x^2 - 1), x)","F",0
262,0,0,0,0.000000," ","integrate(sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2/(-a^2*x^2+1),x, algorithm=""maxima"")","-\frac{\log\left(a x + 1\right)}{4 \, a} + \frac{\log\left(a x - 1\right)}{4 \, a} - \frac{1}{4} \, \int \frac{e^{\left(\frac{2 \, \sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)}}{a^{2} x^{2} - 1}\,{d x} - \frac{1}{4} \, \int \frac{e^{\left(-\frac{2 \, \sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)}}{a^{2} x^{2} - 1}\,{d x}"," ",0,"-1/4*log(a*x + 1)/a + 1/4*log(a*x - 1)/a - 1/4*integrate(e^(2*sqrt(-a*x + 1)/sqrt(a*x + 1))/(a^2*x^2 - 1), x) - 1/4*integrate(e^(-2*sqrt(-a*x + 1)/sqrt(a*x + 1))/(a^2*x^2 - 1), x)","F",0
263,0,0,0,0.000000," ","integrate(sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""maxima"")","-\int \frac{\sinh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)}{a^{2} x^{2} - 1}\,{d x}"," ",0,"-integrate(sinh(sqrt(-a*x + 1)/sqrt(a*x + 1))/(a^2*x^2 - 1), x)","F",0
264,0,0,0,0.000000," ","integrate(1/(-a^2*x^2+1)/sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2)),x, algorithm=""maxima"")","-\int \frac{1}{{\left(a^{2} x^{2} - 1\right)} \sinh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)}\,{d x}"," ",0,"-integrate(1/((a^2*x^2 - 1)*sinh(sqrt(-a*x + 1)/sqrt(a*x + 1))), x)","F",0
265,0,0,0,0.000000," ","integrate(1/(-a^2*x^2+1)/sinh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2,x, algorithm=""maxima"")","\frac{2 \, \sqrt{a x + 1}}{\sqrt{-a x + 1} a e^{\left(\frac{2 \, \sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)} - \sqrt{-a x + 1} a} - \int \frac{\sqrt{a x + 1}}{{\left(a^{2} x^{2} - 1\right)} \sqrt{-a x + 1} e^{\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)} + {\left(a^{2} x^{2} - 1\right)} \sqrt{-a x + 1}}\,{d x} + \int \frac{\sqrt{a x + 1}}{{\left(a^{2} x^{2} - 1\right)} \sqrt{-a x + 1} e^{\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)} - {\left(a^{2} x^{2} - 1\right)} \sqrt{-a x + 1}}\,{d x}"," ",0,"2*sqrt(a*x + 1)/(sqrt(-a*x + 1)*a*e^(2*sqrt(-a*x + 1)/sqrt(a*x + 1)) - sqrt(-a*x + 1)*a) - integrate(sqrt(a*x + 1)/((a^2*x^2 - 1)*sqrt(-a*x + 1)*e^(sqrt(-a*x + 1)/sqrt(a*x + 1)) + (a^2*x^2 - 1)*sqrt(-a*x + 1)), x) + integrate(sqrt(a*x + 1)/((a^2*x^2 - 1)*sqrt(-a*x + 1)*e^(sqrt(-a*x + 1)/sqrt(a*x + 1)) - (a^2*x^2 - 1)*sqrt(-a*x + 1)), x)","F",0
266,1,52,0,0.349190," ","integrate(sinh(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{c^{b} x e^{\left(b \log\left(x^{n}\right) + a\right)}}{2 \, {\left(b n + 1\right)}} + \frac{x e^{\left(-b \log\left(x^{n}\right) - a\right)}}{2 \, {\left(b c^{b} n - c^{b}\right)}}"," ",0,"1/2*c^b*x*e^(b*log(x^n) + a)/(b*n + 1) + 1/2*x*e^(-b*log(x^n) - a)/(b*c^b*n - c^b)","A",0
267,1,67,0,0.355896," ","integrate(sinh(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{c^{2 \, b} x e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}}{4 \, {\left(2 \, b n + 1\right)}} - \frac{1}{2} \, x - \frac{x e^{\left(-2 \, a\right)}}{4 \, {\left(2 \, b c^{2 \, b} n - c^{2 \, b}\right)} {\left(x^{n}\right)}^{2 \, b}}"," ",0,"1/4*c^(2*b)*x*e^(2*b*log(x^n) + 2*a)/(2*b*n + 1) - 1/2*x - 1/4*x*e^(-2*a)/((2*b*c^(2*b)*n - c^(2*b))*(x^n)^(2*b))","A",0
268,1,114,0,0.402255," ","integrate(sinh(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\frac{c^{3 \, b} x e^{\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right)}}{8 \, {\left(3 \, b n + 1\right)}} - \frac{3 \, c^{b} x e^{\left(b \log\left(x^{n}\right) + a\right)}}{8 \, {\left(b n + 1\right)}} - \frac{3 \, x e^{\left(-b \log\left(x^{n}\right) - a\right)}}{8 \, {\left(b c^{b} n - c^{b}\right)}} + \frac{x e^{\left(-3 \, b \log\left(x^{n}\right) - 3 \, a\right)}}{8 \, {\left(3 \, b c^{3 \, b} n - c^{3 \, b}\right)}}"," ",0,"1/8*c^(3*b)*x*e^(3*b*log(x^n) + 3*a)/(3*b*n + 1) - 3/8*c^b*x*e^(b*log(x^n) + a)/(b*n + 1) - 3/8*x*e^(-b*log(x^n) - a)/(b*c^b*n - c^b) + 1/8*x*e^(-3*b*log(x^n) - 3*a)/(3*b*c^(3*b)*n - c^(3*b))","A",0
269,1,129,0,0.393670," ","integrate(sinh(a+b*log(c*x^n))^4,x, algorithm=""maxima"")","\frac{c^{4 \, b} x e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)}}{16 \, {\left(4 \, b n + 1\right)}} - \frac{c^{2 \, b} x e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)}}{4 \, {\left(2 \, b n + 1\right)}} + \frac{3}{8} \, x + \frac{x e^{\left(-2 \, b \log\left(x^{n}\right) - 2 \, a\right)}}{4 \, {\left(2 \, b c^{2 \, b} n - c^{2 \, b}\right)}} - \frac{x e^{\left(-4 \, a\right)}}{16 \, {\left(4 \, b c^{4 \, b} n - c^{4 \, b}\right)} {\left(x^{n}\right)}^{4 \, b}}"," ",0,"1/16*c^(4*b)*x*e^(4*b*log(x^n) + 4*a)/(4*b*n + 1) - 1/4*c^(2*b)*x*e^(2*b*log(x^n) + 2*a)/(2*b*n + 1) + 3/8*x + 1/4*x*e^(-2*b*log(x^n) - 2*a)/(2*b*c^(2*b)*n - c^(2*b)) - 1/16*x*e^(-4*a)/((4*b*c^(4*b)*n - c^(4*b))*(x^n)^(4*b))","A",0
270,1,64,0,0.376673," ","integrate(x^m*sinh(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{c^{b} x e^{\left(b \log\left(x^{n}\right) + m \log\left(x\right) + a\right)}}{2 \, {\left(b n + m + 1\right)}} + \frac{x e^{\left(-b \log\left(x^{n}\right) + m \log\left(x\right) - a\right)}}{2 \, {\left(b c^{b} n - c^{b} {\left(m + 1\right)}\right)}}"," ",0,"1/2*c^b*x*e^(b*log(x^n) + m*log(x) + a)/(b*n + m + 1) + 1/2*x*e^(-b*log(x^n) + m*log(x) - a)/(b*c^b*n - c^b*(m + 1))","A",0
271,1,87,0,0.363250," ","integrate(x^m*sinh(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{c^{2 \, b} x e^{\left(2 \, b \log\left(x^{n}\right) + m \log\left(x\right) + 2 \, a\right)}}{4 \, {\left(2 \, b n + m + 1\right)}} - \frac{x e^{\left(-2 \, b \log\left(x^{n}\right) + m \log\left(x\right) - 2 \, a\right)}}{4 \, {\left(2 \, b c^{2 \, b} n - c^{2 \, b} {\left(m + 1\right)}\right)}} - \frac{x^{m + 1}}{2 \, {\left(m + 1\right)}}"," ",0,"1/4*c^(2*b)*x*e^(2*b*log(x^n) + m*log(x) + 2*a)/(2*b*n + m + 1) - 1/4*x*e^(-2*b*log(x^n) + m*log(x) - 2*a)/(2*b*c^(2*b)*n - c^(2*b)*(m + 1)) - 1/2*x^(m + 1)/(m + 1)","A",0
272,1,138,0,0.397363," ","integrate(x^m*sinh(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\frac{c^{3 \, b} x e^{\left(3 \, b \log\left(x^{n}\right) + m \log\left(x\right) + 3 \, a\right)}}{8 \, {\left(3 \, b n + m + 1\right)}} - \frac{3 \, c^{b} x e^{\left(b \log\left(x^{n}\right) + m \log\left(x\right) + a\right)}}{8 \, {\left(b n + m + 1\right)}} - \frac{3 \, x e^{\left(-b \log\left(x^{n}\right) + m \log\left(x\right) - a\right)}}{8 \, {\left(b c^{b} n - c^{b} {\left(m + 1\right)}\right)}} + \frac{x e^{\left(-3 \, b \log\left(x^{n}\right) + m \log\left(x\right) - 3 \, a\right)}}{8 \, {\left(3 \, b c^{3 \, b} n - c^{3 \, b} {\left(m + 1\right)}\right)}}"," ",0,"1/8*c^(3*b)*x*e^(3*b*log(x^n) + m*log(x) + 3*a)/(3*b*n + m + 1) - 3/8*c^b*x*e^(b*log(x^n) + m*log(x) + a)/(b*n + m + 1) - 3/8*x*e^(-b*log(x^n) + m*log(x) - a)/(b*c^b*n - c^b*(m + 1)) + 1/8*x*e^(-3*b*log(x^n) + m*log(x) - 3*a)/(3*b*c^(3*b)*n - c^(3*b)*(m + 1))","A",0
273,1,161,0,0.391363," ","integrate(x^m*sinh(a+b*log(c*x^n))^4,x, algorithm=""maxima"")","\frac{c^{4 \, b} x e^{\left(4 \, b \log\left(x^{n}\right) + m \log\left(x\right) + 4 \, a\right)}}{16 \, {\left(4 \, b n + m + 1\right)}} - \frac{c^{2 \, b} x e^{\left(2 \, b \log\left(x^{n}\right) + m \log\left(x\right) + 2 \, a\right)}}{4 \, {\left(2 \, b n + m + 1\right)}} + \frac{x e^{\left(-2 \, b \log\left(x^{n}\right) + m \log\left(x\right) - 2 \, a\right)}}{4 \, {\left(2 \, b c^{2 \, b} n - c^{2 \, b} {\left(m + 1\right)}\right)}} - \frac{x e^{\left(-4 \, b \log\left(x^{n}\right) + m \log\left(x\right) - 4 \, a\right)}}{16 \, {\left(4 \, b c^{4 \, b} n - c^{4 \, b} {\left(m + 1\right)}\right)}} + \frac{3 \, x^{m + 1}}{8 \, {\left(m + 1\right)}}"," ",0,"1/16*c^(4*b)*x*e^(4*b*log(x^n) + m*log(x) + 4*a)/(4*b*n + m + 1) - 1/4*c^(2*b)*x*e^(2*b*log(x^n) + m*log(x) + 2*a)/(2*b*n + m + 1) + 1/4*x*e^(-2*b*log(x^n) + m*log(x) - 2*a)/(2*b*c^(2*b)*n - c^(2*b)*(m + 1)) - 1/16*x*e^(-4*b*log(x^n) + m*log(x) - 4*a)/(4*b*c^(4*b)*n - c^(4*b)*(m + 1)) + 3/8*x^(m + 1)/(m + 1)","A",0
274,1,18,0,0.324663," ","integrate(sinh(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","\frac{\cosh\left(b \log\left(c x^{n}\right) + a\right)}{b n}"," ",0,"cosh(b*log(c*x^n) + a)/(b*n)","A",0
275,1,49,0,0.325382," ","integrate(sinh(a+b*log(c*x^n))^2/x,x, algorithm=""maxima"")","\frac{e^{\left(2 \, b \log\left(c x^{n}\right) + 2 \, a\right)}}{8 \, b n} - \frac{e^{\left(-2 \, b \log\left(c x^{n}\right) - 2 \, a\right)}}{8 \, b n} - \frac{1}{2} \, \log\left(x\right)"," ",0,"1/8*e^(2*b*log(c*x^n) + 2*a)/(b*n) - 1/8*e^(-2*b*log(c*x^n) - 2*a)/(b*n) - 1/2*log(x)","A",0
276,1,86,0,0.329117," ","integrate(sinh(a+b*log(c*x^n))^3/x,x, algorithm=""maxima"")","\frac{e^{\left(3 \, b \log\left(c x^{n}\right) + 3 \, a\right)}}{24 \, b n} - \frac{3 \, e^{\left(b \log\left(c x^{n}\right) + a\right)}}{8 \, b n} - \frac{3 \, e^{\left(-b \log\left(c x^{n}\right) - a\right)}}{8 \, b n} + \frac{e^{\left(-3 \, b \log\left(c x^{n}\right) - 3 \, a\right)}}{24 \, b n}"," ",0,"1/24*e^(3*b*log(c*x^n) + 3*a)/(b*n) - 3/8*e^(b*log(c*x^n) + a)/(b*n) - 3/8*e^(-b*log(c*x^n) - a)/(b*n) + 1/24*e^(-3*b*log(c*x^n) - 3*a)/(b*n)","B",0
277,1,93,0,0.334585," ","integrate(sinh(a+b*log(c*x^n))^4/x,x, algorithm=""maxima"")","\frac{e^{\left(4 \, b \log\left(c x^{n}\right) + 4 \, a\right)}}{64 \, b n} - \frac{e^{\left(2 \, b \log\left(c x^{n}\right) + 2 \, a\right)}}{8 \, b n} + \frac{e^{\left(-2 \, b \log\left(c x^{n}\right) - 2 \, a\right)}}{8 \, b n} - \frac{e^{\left(-4 \, b \log\left(c x^{n}\right) - 4 \, a\right)}}{64 \, b n} + \frac{3}{8} \, \log\left(x\right)"," ",0,"1/64*e^(4*b*log(c*x^n) + 4*a)/(b*n) - 1/8*e^(2*b*log(c*x^n) + 2*a)/(b*n) + 1/8*e^(-2*b*log(c*x^n) - 2*a)/(b*n) - 1/64*e^(-4*b*log(c*x^n) - 4*a)/(b*n) + 3/8*log(x)","A",0
278,1,130,0,0.336787," ","integrate(sinh(a+b*log(c*x^n))^5/x,x, algorithm=""maxima"")","\frac{e^{\left(5 \, b \log\left(c x^{n}\right) + 5 \, a\right)}}{160 \, b n} - \frac{5 \, e^{\left(3 \, b \log\left(c x^{n}\right) + 3 \, a\right)}}{96 \, b n} + \frac{5 \, e^{\left(b \log\left(c x^{n}\right) + a\right)}}{16 \, b n} + \frac{5 \, e^{\left(-b \log\left(c x^{n}\right) - a\right)}}{16 \, b n} - \frac{5 \, e^{\left(-3 \, b \log\left(c x^{n}\right) - 3 \, a\right)}}{96 \, b n} + \frac{e^{\left(-5 \, b \log\left(c x^{n}\right) - 5 \, a\right)}}{160 \, b n}"," ",0,"1/160*e^(5*b*log(c*x^n) + 5*a)/(b*n) - 5/96*e^(3*b*log(c*x^n) + 3*a)/(b*n) + 5/16*e^(b*log(c*x^n) + a)/(b*n) + 5/16*e^(-b*log(c*x^n) - a)/(b*n) - 5/96*e^(-3*b*log(c*x^n) - 3*a)/(b*n) + 1/160*e^(-5*b*log(c*x^n) - 5*a)/(b*n)","B",0
279,0,0,0,0.000000," ","integrate(sinh(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""maxima"")","\int \frac{\sinh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate(sinh(b*log(c*x^n) + a)^(5/2)/x, x)","F",0
280,0,0,0,0.000000," ","integrate(sinh(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""maxima"")","\int \frac{\sinh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(sinh(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
281,0,0,0,0.000000," ","integrate(sinh(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\sinh\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(sinh(b*log(c*x^n) + a))/x, x)","F",0
282,0,0,0,0.000000," ","integrate(1/x/sinh(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{x \sqrt{\sinh\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(x*sqrt(sinh(b*log(c*x^n) + a))), x)","F",0
283,0,0,0,0.000000," ","integrate(1/x/sinh(a+b*log(c*x^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{x \sinh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x*sinh(b*log(c*x^n) + a)^(3/2)), x)","F",0
284,0,0,0,0.000000," ","integrate(1/x/sinh(a+b*log(c*x^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{x \sinh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x*sinh(b*log(c*x^n) + a)^(5/2)), x)","F",0
285,0,0,0,0.000000," ","integrate(sinh(a+2*log(c*x^n)/n)^(5/2),x, algorithm=""maxima"")","\int \sinh\left(a + \frac{2 \, \log\left(c x^{n}\right)}{n}\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sinh(a + 2*log(c*x^n)/n)^(5/2), x)","F",0
286,0,0,0,0.000000," ","integrate(sinh(a+2*log(c*x^n)/n)^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sinh\left(a + \frac{2 \, \log\left(c x^{n}\right)}{n}\right)}\,{d x}"," ",0,"integrate(sqrt(sinh(a + 2*log(c*x^n)/n)), x)","F",0
287,0,0,0,0.000000," ","integrate(1/sinh(a+2*log(c*x^n)/n)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\sinh\left(a + \frac{2 \, \log\left(c x^{n}\right)}{n}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sinh(a + 2*log(c*x^n)/n)^(-3/2), x)","F",0
288,0,0,0,0.000000," ","integrate(1/sinh(a+2*log(c*x^n)/n)^(7/2),x, algorithm=""maxima"")","\int \frac{1}{\sinh\left(a + \frac{2 \, \log\left(c x^{n}\right)}{n}\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sinh(a + 2*log(c*x^n)/n)^(-7/2), x)","F",0
289,0,0,0,0.000000," ","integrate(sinh(a/(d*x+c)),x, algorithm=""maxima"")","\frac{1}{2} \, a d \int \frac{x e^{\left(\frac{a}{d x + c}\right)}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} + \frac{1}{2} \, a d \int \frac{x e^{\left(-\frac{a}{d x + c}\right)}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} + \frac{1}{2} \, x e^{\left(\frac{a}{d x + c}\right)} - \frac{1}{2} \, x e^{\left(-\frac{a}{d x + c}\right)}"," ",0,"1/2*a*d*integrate(x*e^(a/(d*x + c))/(d^2*x^2 + 2*c*d*x + c^2), x) + 1/2*a*d*integrate(x*e^(-a/(d*x + c))/(d^2*x^2 + 2*c*d*x + c^2), x) + 1/2*x*e^(a/(d*x + c)) - 1/2*x*e^(-a/(d*x + c))","F",0
290,0,0,0,0.000000," ","integrate(sinh(a/(d*x+c))^2,x, algorithm=""maxima"")","\frac{1}{2} \, a d \int \frac{x e^{\left(\frac{2 \, a}{d x + c}\right)}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} - \frac{1}{2} \, a d \int \frac{x e^{\left(-\frac{2 \, a}{d x + c}\right)}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} + \frac{1}{4} \, x e^{\left(\frac{2 \, a}{d x + c}\right)} + \frac{1}{4} \, x e^{\left(-\frac{2 \, a}{d x + c}\right)} - \frac{1}{2} \, x"," ",0,"1/2*a*d*integrate(x*e^(2*a/(d*x + c))/(d^2*x^2 + 2*c*d*x + c^2), x) - 1/2*a*d*integrate(x*e^(-2*a/(d*x + c))/(d^2*x^2 + 2*c*d*x + c^2), x) + 1/4*x*e^(2*a/(d*x + c)) + 1/4*x*e^(-2*a/(d*x + c)) - 1/2*x","F",0
291,0,0,0,0.000000," ","integrate(sinh(a/(d*x+c))^3,x, algorithm=""maxima"")","\frac{3}{8} \, a d \int \frac{x e^{\left(\frac{3 \, a}{d x + c}\right)}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} - \frac{3}{8} \, a d \int \frac{x e^{\left(\frac{a}{d x + c}\right)}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} - \frac{3}{8} \, a d \int \frac{x e^{\left(-\frac{a}{d x + c}\right)}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} + \frac{3}{8} \, a d \int \frac{x e^{\left(-\frac{3 \, a}{d x + c}\right)}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} + \frac{1}{8} \, x e^{\left(\frac{3 \, a}{d x + c}\right)} - \frac{3}{8} \, x e^{\left(\frac{a}{d x + c}\right)} + \frac{3}{8} \, x e^{\left(-\frac{a}{d x + c}\right)} - \frac{1}{8} \, x e^{\left(-\frac{3 \, a}{d x + c}\right)}"," ",0,"3/8*a*d*integrate(x*e^(3*a/(d*x + c))/(d^2*x^2 + 2*c*d*x + c^2), x) - 3/8*a*d*integrate(x*e^(a/(d*x + c))/(d^2*x^2 + 2*c*d*x + c^2), x) - 3/8*a*d*integrate(x*e^(-a/(d*x + c))/(d^2*x^2 + 2*c*d*x + c^2), x) + 3/8*a*d*integrate(x*e^(-3*a/(d*x + c))/(d^2*x^2 + 2*c*d*x + c^2), x) + 1/8*x*e^(3*a/(d*x + c)) - 3/8*x*e^(a/(d*x + c)) + 3/8*x*e^(-a/(d*x + c)) - 1/8*x*e^(-3*a/(d*x + c))","F",0
292,0,0,0,0.000000," ","integrate(sinh(b*x/(d*x+c)),x, algorithm=""maxima"")","-\frac{1}{2} \, b c \int \frac{x e^{\left(\frac{b c}{d^{2} x + c d}\right)}}{d^{2} x^{2} e^{\frac{b}{d}} + 2 \, c d x e^{\frac{b}{d}} + c^{2} e^{\frac{b}{d}}}\,{d x} - \frac{1}{2} \, b c \int \frac{x e^{\left(-\frac{b c}{d^{2} x + c d} + \frac{b}{d}\right)}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} - \frac{1}{2} \, {\left(x e^{\left(\frac{b c}{d^{2} x + c d}\right)} - x e^{\left(-\frac{b c}{d^{2} x + c d} + \frac{2 \, b}{d}\right)}\right)} e^{\left(-\frac{b}{d}\right)}"," ",0,"-1/2*b*c*integrate(x*e^(b*c/(d^2*x + c*d))/(d^2*x^2*e^(b/d) + 2*c*d*x*e^(b/d) + c^2*e^(b/d)), x) - 1/2*b*c*integrate(x*e^(-b*c/(d^2*x + c*d) + b/d)/(d^2*x^2 + 2*c*d*x + c^2), x) - 1/2*(x*e^(b*c/(d^2*x + c*d)) - x*e^(-b*c/(d^2*x + c*d) + 2*b/d))*e^(-b/d)","F",0
293,0,0,0,0.000000," ","integrate(sinh(b*x/(d*x+c))^2,x, algorithm=""maxima"")","\frac{1}{2} \, b c \int \frac{x e^{\left(\frac{2 \, b c}{d^{2} x + c d}\right)}}{d^{2} x^{2} e^{\left(\frac{2 \, b}{d}\right)} + 2 \, c d x e^{\left(\frac{2 \, b}{d}\right)} + c^{2} e^{\left(\frac{2 \, b}{d}\right)}}\,{d x} - \frac{1}{2} \, b c \int \frac{x e^{\left(-\frac{2 \, b c}{d^{2} x + c d} + \frac{2 \, b}{d}\right)}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} + \frac{1}{4} \, {\left(x e^{\left(\frac{2 \, b c}{d^{2} x + c d}\right)} + x e^{\left(-\frac{2 \, b c}{d^{2} x + c d} + \frac{4 \, b}{d}\right)}\right)} e^{\left(-\frac{2 \, b}{d}\right)} - \frac{1}{2} \, x"," ",0,"1/2*b*c*integrate(x*e^(2*b*c/(d^2*x + c*d))/(d^2*x^2*e^(2*b/d) + 2*c*d*x*e^(2*b/d) + c^2*e^(2*b/d)), x) - 1/2*b*c*integrate(x*e^(-2*b*c/(d^2*x + c*d) + 2*b/d)/(d^2*x^2 + 2*c*d*x + c^2), x) + 1/4*(x*e^(2*b*c/(d^2*x + c*d)) + x*e^(-2*b*c/(d^2*x + c*d) + 4*b/d))*e^(-2*b/d) - 1/2*x","F",0
294,0,0,0,0.000000," ","integrate(sinh(b*x/(d*x+c))^3,x, algorithm=""maxima"")","-\frac{3}{8} \, b c \int \frac{x e^{\left(\frac{3 \, b c}{d^{2} x + c d}\right)}}{d^{2} x^{2} e^{\left(\frac{3 \, b}{d}\right)} + 2 \, c d x e^{\left(\frac{3 \, b}{d}\right)} + c^{2} e^{\left(\frac{3 \, b}{d}\right)}}\,{d x} + \frac{3}{8} \, b c \int \frac{x e^{\left(\frac{b c}{d^{2} x + c d}\right)}}{d^{2} x^{2} e^{\frac{b}{d}} + 2 \, c d x e^{\frac{b}{d}} + c^{2} e^{\frac{b}{d}}}\,{d x} + \frac{3}{8} \, b c \int \frac{x e^{\left(-\frac{b c}{d^{2} x + c d} + \frac{b}{d}\right)}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} - \frac{3}{8} \, b c \int \frac{x e^{\left(-\frac{3 \, b c}{d^{2} x + c d} + \frac{3 \, b}{d}\right)}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} - \frac{1}{8} \, {\left(x e^{\left(\frac{3 \, b c}{d^{2} x + c d}\right)} - 3 \, x e^{\left(\frac{b c}{d^{2} x + c d} + \frac{2 \, b}{d}\right)} + 3 \, x e^{\left(-\frac{b c}{d^{2} x + c d} + \frac{4 \, b}{d}\right)} - x e^{\left(-\frac{3 \, b c}{d^{2} x + c d} + \frac{6 \, b}{d}\right)}\right)} e^{\left(-\frac{3 \, b}{d}\right)}"," ",0,"-3/8*b*c*integrate(x*e^(3*b*c/(d^2*x + c*d))/(d^2*x^2*e^(3*b/d) + 2*c*d*x*e^(3*b/d) + c^2*e^(3*b/d)), x) + 3/8*b*c*integrate(x*e^(b*c/(d^2*x + c*d))/(d^2*x^2*e^(b/d) + 2*c*d*x*e^(b/d) + c^2*e^(b/d)), x) + 3/8*b*c*integrate(x*e^(-b*c/(d^2*x + c*d) + b/d)/(d^2*x^2 + 2*c*d*x + c^2), x) - 3/8*b*c*integrate(x*e^(-3*b*c/(d^2*x + c*d) + 3*b/d)/(d^2*x^2 + 2*c*d*x + c^2), x) - 1/8*(x*e^(3*b*c/(d^2*x + c*d)) - 3*x*e^(b*c/(d^2*x + c*d) + 2*b/d) + 3*x*e^(-b*c/(d^2*x + c*d) + 4*b/d) - x*e^(-3*b*c/(d^2*x + c*d) + 6*b/d))*e^(-3*b/d)","F",0
295,0,0,0,0.000000," ","integrate(sinh((b*x+a)/(d*x+c)),x, algorithm=""maxima"")","\int \sinh\left(\frac{b x + a}{d x + c}\right)\,{d x}"," ",0,"integrate(sinh((b*x + a)/(d*x + c)), x)","F",0
296,0,0,0,0.000000," ","integrate(sinh((b*x+a)/(d*x+c))^2,x, algorithm=""maxima"")","-\frac{1}{2} \, x + \frac{1}{4} \, \int e^{\left(\frac{2 \, b c}{d^{2} x + c d} - \frac{2 \, a}{d x + c} - \frac{2 \, b}{d}\right)}\,{d x} + \frac{1}{4} \, \int e^{\left(-\frac{2 \, b c}{d^{2} x + c d} + \frac{2 \, a}{d x + c} + \frac{2 \, b}{d}\right)}\,{d x}"," ",0,"-1/2*x + 1/4*integrate(e^(2*b*c/(d^2*x + c*d) - 2*a/(d*x + c) - 2*b/d), x) + 1/4*integrate(e^(-2*b*c/(d^2*x + c*d) + 2*a/(d*x + c) + 2*b/d), x)","F",0
297,0,0,0,0.000000," ","integrate(sinh((b*x+a)/(d*x+c))^3,x, algorithm=""maxima"")","\int \sinh\left(\frac{b x + a}{d x + c}\right)^{3}\,{d x}"," ",0,"integrate(sinh((b*x + a)/(d*x + c))^3, x)","F",0
298,0,0,0,0.000000," ","integrate(sinh(e+f*(b*x+a)/(d*x+c)),x, algorithm=""maxima"")","\int \sinh\left(e + \frac{{\left(b x + a\right)} f}{d x + c}\right)\,{d x}"," ",0,"integrate(sinh(e + (b*x + a)*f/(d*x + c)), x)","F",0
299,0,0,0,0.000000," ","integrate(sinh(e+f*(b*x+a)/(d*x+c))^2,x, algorithm=""maxima"")","-\frac{1}{2} \, x + \frac{1}{4} \, \int e^{\left(\frac{2 \, b c f}{d^{2} x + c d} - 2 \, e - \frac{2 \, a f}{d x + c} - \frac{2 \, b f}{d}\right)}\,{d x} + \frac{1}{4} \, \int e^{\left(-\frac{2 \, b c f}{d^{2} x + c d} + 2 \, e + \frac{2 \, a f}{d x + c} + \frac{2 \, b f}{d}\right)}\,{d x}"," ",0,"-1/2*x + 1/4*integrate(e^(2*b*c*f/(d^2*x + c*d) - 2*e - 2*a*f/(d*x + c) - 2*b*f/d), x) + 1/4*integrate(e^(-2*b*c*f/(d^2*x + c*d) + 2*e + 2*a*f/(d*x + c) + 2*b*f/d), x)","F",0
300,0,0,0,0.000000," ","integrate(sinh(e+f*(b*x+a)/(d*x+c))^3,x, algorithm=""maxima"")","\int \sinh\left(e + \frac{{\left(b x + a\right)} f}{d x + c}\right)^{3}\,{d x}"," ",0,"integrate(sinh(e + (b*x + a)*f/(d*x + c))^3, x)","F",0
301,1,68,0,0.397819," ","integrate(exp(b*x+a)*sinh(b*x+a)^4,x, algorithm=""maxima"")","\frac{e^{\left(5 \, b x + 5 \, a\right)}}{80 \, b} - \frac{e^{\left(3 \, b x + 3 \, a\right)}}{12 \, b} + \frac{3 \, e^{\left(b x + a\right)}}{8 \, b} + \frac{e^{\left(-b x - a\right)}}{4 \, b} - \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{48 \, b}"," ",0,"1/80*e^(5*b*x + 5*a)/b - 1/12*e^(3*b*x + 3*a)/b + 3/8*e^(b*x + a)/b + 1/4*e^(-b*x - a)/b - 1/48*e^(-3*b*x - 3*a)/b","A",0
302,1,53,0,0.352451," ","integrate(exp(b*x+a)*sinh(b*x+a)^3,x, algorithm=""maxima"")","\frac{3 \, {\left(b x + a\right)}}{8 \, b} + \frac{e^{\left(4 \, b x + 4 \, a\right)}}{32 \, b} - \frac{3 \, e^{\left(2 \, b x + 2 \, a\right)}}{16 \, b} + \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{16 \, b}"," ",0,"3/8*(b*x + a)/b + 1/32*e^(4*b*x + 4*a)/b - 3/16*e^(2*b*x + 2*a)/b + 1/16*e^(-2*b*x - 2*a)/b","A",0
303,1,40,0,0.379385," ","integrate(exp(b*x+a)*sinh(b*x+a)^2,x, algorithm=""maxima"")","\frac{e^{\left(3 \, b x + 3 \, a\right)}}{12 \, b} - \frac{e^{\left(b x + a\right)}}{2 \, b} - \frac{e^{\left(-b x - a\right)}}{4 \, b}"," ",0,"1/12*e^(3*b*x + 3*a)/b - 1/2*e^(b*x + a)/b - 1/4*e^(-b*x - a)/b","A",0
304,1,24,0,0.357512," ","integrate(exp(b*x+a)*sinh(b*x+a),x, algorithm=""maxima"")","-\frac{1}{2} \, x - \frac{a}{2 \, b} + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{4 \, b}"," ",0,"-1/2*x - 1/2*a/b + 1/4*e^(2*b*x + 2*a)/b","A",0
305,1,27,0,0.300512," ","integrate(exp(b*x+a)*csch(b*x+a),x, algorithm=""maxima"")","\frac{\log\left(e^{\left(b x + a\right)} + 1\right)}{b} + \frac{\log\left(e^{\left(b x + a\right)} - 1\right)}{b}"," ",0,"log(e^(b*x + a) + 1)/b + log(e^(b*x + a) - 1)/b","A",0
306,1,52,0,0.382696," ","integrate(exp(b*x+a)*csch(b*x+a)^2,x, algorithm=""maxima"")","-\frac{\log\left(e^{\left(b x + a\right)} + 1\right)}{b} + \frac{\log\left(e^{\left(b x + a\right)} - 1\right)}{b} - \frac{2 \, e^{\left(b x + a\right)}}{b {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}}"," ",0,"-log(e^(b*x + a) + 1)/b + log(e^(b*x + a) - 1)/b - 2*e^(b*x + a)/(b*(e^(2*b*x + 2*a) - 1))","A",0
307,1,68,0,0.296066," ","integrate(exp(b*x+a)*csch(b*x+a)^3,x, algorithm=""maxima"")","-\frac{4 \, e^{\left(2 \, b x + 2 \, a\right)}}{b {\left(e^{\left(4 \, b x + 4 \, a\right)} - 2 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}} + \frac{2}{b {\left(e^{\left(4 \, b x + 4 \, a\right)} - 2 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}}"," ",0,"-4*e^(2*b*x + 2*a)/(b*(e^(4*b*x + 4*a) - 2*e^(2*b*x + 2*a) + 1)) + 2/(b*(e^(4*b*x + 4*a) - 2*e^(2*b*x + 2*a) + 1))","B",0
308,1,100,0,0.301507," ","integrate(exp(b*x+a)*csch(b*x+a)^4,x, algorithm=""maxima"")","\frac{\log\left(e^{\left(b x + a\right)} + 1\right)}{2 \, b} - \frac{\log\left(e^{\left(b x + a\right)} - 1\right)}{2 \, b} - \frac{3 \, e^{\left(5 \, b x + 5 \, a\right)} + 8 \, e^{\left(3 \, b x + 3 \, a\right)} - 3 \, e^{\left(b x + a\right)}}{3 \, b {\left(e^{\left(6 \, b x + 6 \, a\right)} - 3 \, e^{\left(4 \, b x + 4 \, a\right)} + 3 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}}"," ",0,"1/2*log(e^(b*x + a) + 1)/b - 1/2*log(e^(b*x + a) - 1)/b - 1/3*(3*e^(5*b*x + 5*a) + 8*e^(3*b*x + 3*a) - 3*e^(b*x + a))/(b*(e^(6*b*x + 6*a) - 3*e^(4*b*x + 4*a) + 3*e^(2*b*x + 2*a) - 1))","A",0
309,1,172,0,0.360678," ","integrate(exp(b*x+a)*csch(b*x+a)^5,x, algorithm=""maxima"")","-\frac{8 \, e^{\left(4 \, b x + 4 \, a\right)}}{b {\left(e^{\left(8 \, b x + 8 \, a\right)} - 4 \, e^{\left(6 \, b x + 6 \, a\right)} + 6 \, e^{\left(4 \, b x + 4 \, a\right)} - 4 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}} + \frac{16 \, e^{\left(2 \, b x + 2 \, a\right)}}{3 \, b {\left(e^{\left(8 \, b x + 8 \, a\right)} - 4 \, e^{\left(6 \, b x + 6 \, a\right)} + 6 \, e^{\left(4 \, b x + 4 \, a\right)} - 4 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}} - \frac{4}{3 \, b {\left(e^{\left(8 \, b x + 8 \, a\right)} - 4 \, e^{\left(6 \, b x + 6 \, a\right)} + 6 \, e^{\left(4 \, b x + 4 \, a\right)} - 4 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}}"," ",0,"-8*e^(4*b*x + 4*a)/(b*(e^(8*b*x + 8*a) - 4*e^(6*b*x + 6*a) + 6*e^(4*b*x + 4*a) - 4*e^(2*b*x + 2*a) + 1)) + 16/3*e^(2*b*x + 2*a)/(b*(e^(8*b*x + 8*a) - 4*e^(6*b*x + 6*a) + 6*e^(4*b*x + 4*a) - 4*e^(2*b*x + 2*a) + 1)) - 4/3/(b*(e^(8*b*x + 8*a) - 4*e^(6*b*x + 6*a) + 6*e^(4*b*x + 4*a) - 4*e^(2*b*x + 2*a) + 1))","B",0
310,1,17,0,0.312126," ","integrate(exp(x)*sinh(2*x)^2,x, algorithm=""maxima"")","\frac{1}{20} \, e^{\left(5 \, x\right)} - \frac{1}{12} \, e^{\left(-3 \, x\right)} - \frac{1}{2} \, e^{x}"," ",0,"1/20*e^(5*x) - 1/12*e^(-3*x) - 1/2*e^x","A",0
311,1,13,0,0.315738," ","integrate(exp(x)*sinh(2*x),x, algorithm=""maxima"")","\frac{1}{6} \, e^{\left(3 \, x\right)} + \frac{1}{2} \, e^{\left(-x\right)}"," ",0,"1/6*e^(3*x) + 1/2*e^(-x)","A",0
312,1,18,0,0.410252," ","integrate(exp(x)*csch(2*x),x, algorithm=""maxima"")","\arctan\left(e^{x}\right) - \frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left(e^{x} - 1\right)"," ",0,"arctan(e^x) - 1/2*log(e^x + 1) + 1/2*log(e^x - 1)","A",0
313,1,32,0,0.398404," ","integrate(exp(x)*csch(2*x)^2,x, algorithm=""maxima"")","-\frac{e^{x}}{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(e^{x} - 1\right)"," ",0,"-e^x/(e^(4*x) - 1) - 1/2*arctan(e^x) - 1/4*log(e^x + 1) + 1/4*log(e^x - 1)","A",0
314,1,17,0,0.302565," ","integrate(exp(x)*sinh(3*x)^2,x, algorithm=""maxima"")","\frac{1}{28} \, e^{\left(7 \, x\right)} - \frac{1}{20} \, e^{\left(-5 \, x\right)} - \frac{1}{2} \, e^{x}"," ",0,"1/28*e^(7*x) - 1/20*e^(-5*x) - 1/2*e^x","A",0
315,1,13,0,0.301776," ","integrate(exp(x)*sinh(3*x),x, algorithm=""maxima"")","\frac{1}{8} \, e^{\left(4 \, x\right)} + \frac{1}{4} \, e^{\left(-2 \, x\right)}"," ",0,"1/8*e^(4*x) + 1/4*e^(-2*x)","A",0
316,1,73,0,0.405316," ","integrate(exp(x)*csch(3*x),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{x} + 1\right)}\right) + \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{x} - 1\right)}\right) - \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(e^{x} - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*e^x + 1)) + 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*e^x - 1)) - 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(e^x - 1)","A",0
317,1,85,0,0.404595," ","integrate(exp(x)*csch(3*x)^2,x, algorithm=""maxima"")","-\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{x} + 1\right)}\right) - \frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{x} - 1\right)}\right) - \frac{2 \, e^{x}}{3 \, {\left(e^{\left(6 \, x\right)} - 1\right)}} - \frac{1}{18} \, \log\left(e^{\left(2 \, x\right)} + e^{x} + 1\right) + \frac{1}{18} \, \log\left(e^{\left(2 \, x\right)} - e^{x} + 1\right) - \frac{1}{9} \, \log\left(e^{x} + 1\right) + \frac{1}{9} \, \log\left(e^{x} - 1\right)"," ",0,"-1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*e^x + 1)) - 1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*e^x - 1)) - 2/3*e^x/(e^(6*x) - 1) - 1/18*log(e^(2*x) + e^x + 1) + 1/18*log(e^(2*x) - e^x + 1) - 1/9*log(e^x + 1) + 1/9*log(e^x - 1)","A",0
318,1,17,0,0.303204," ","integrate(exp(x)*sinh(4*x)^2,x, algorithm=""maxima"")","\frac{1}{36} \, e^{\left(9 \, x\right)} - \frac{1}{28} \, e^{\left(-7 \, x\right)} - \frac{1}{2} \, e^{x}"," ",0,"1/36*e^(9*x) - 1/28*e^(-7*x) - 1/2*e^x","A",0
319,1,13,0,0.304876," ","integrate(exp(x)*sinh(4*x),x, algorithm=""maxima"")","\frac{1}{10} \, e^{\left(5 \, x\right)} + \frac{1}{6} \, e^{\left(-3 \, x\right)}"," ",0,"1/10*e^(5*x) + 1/6*e^(-3*x)","A",0
320,1,95,0,0.413475," ","integrate(exp(x)*csch(4*x),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) + \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right) + \frac{1}{8} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{8} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{2} \, \arctan\left(e^{x}\right) - \frac{1}{4} \, \log\left(e^{x} + 1\right) + \frac{1}{4} \, \log\left(e^{x} - 1\right)"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) + 1/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x)) + 1/8*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) - 1/8*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1) - 1/2*arctan(e^x) - 1/4*log(e^x + 1) + 1/4*log(e^x - 1)","A",0
321,1,107,0,0.413329," ","integrate(exp(x)*csch(4*x)^2,x, algorithm=""maxima"")","-\frac{1}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) - \frac{1}{16} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right) - \frac{1}{32} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{32} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{e^{x}}{2 \, {\left(e^{\left(8 \, x\right)} - 1\right)}} - \frac{1}{8} \, \arctan\left(e^{x}\right) - \frac{1}{16} \, \log\left(e^{x} + 1\right) + \frac{1}{16} \, \log\left(e^{x} - 1\right)"," ",0,"-1/16*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) - 1/16*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x)) - 1/32*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) + 1/32*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1) - 1/2*e^x/(e^(8*x) - 1) - 1/8*arctan(e^x) - 1/16*log(e^x + 1) + 1/16*log(e^x - 1)","A",0
322,1,134,0,0.332083," ","integrate(F^(c*(b*x+a))*sinh(e*x+d)^3,x, algorithm=""maxima"")","\frac{F^{a c} e^{\left(b c x \log\left(F\right) + 3 \, e x + 3 \, d\right)}}{8 \, {\left(b c \log\left(F\right) + 3 \, e\right)}} - \frac{3 \, F^{a c} e^{\left(b c x \log\left(F\right) + e x + d\right)}}{8 \, {\left(b c \log\left(F\right) + e\right)}} + \frac{3 \, F^{a c} e^{\left(b c x \log\left(F\right) - e x\right)}}{8 \, {\left(b c e^{d} \log\left(F\right) - e e^{d}\right)}} - \frac{F^{a c} e^{\left(b c x \log\left(F\right) - 3 \, e x\right)}}{8 \, {\left(b c e^{\left(3 \, d\right)} \log\left(F\right) - 3 \, e e^{\left(3 \, d\right)}\right)}}"," ",0,"1/8*F^(a*c)*e^(b*c*x*log(F) + 3*e*x + 3*d)/(b*c*log(F) + 3*e) - 3/8*F^(a*c)*e^(b*c*x*log(F) + e*x + d)/(b*c*log(F) + e) + 3/8*F^(a*c)*e^(b*c*x*log(F) - e*x)/(b*c*e^d*log(F) - e*e^d) - 1/8*F^(a*c)*e^(b*c*x*log(F) - 3*e*x)/(b*c*e^(3*d)*log(F) - 3*e*e^(3*d))","A",0
323,1,94,0,0.323195," ","integrate(F^(c*(b*x+a))*sinh(e*x+d)^2,x, algorithm=""maxima"")","\frac{F^{a c} e^{\left(b c x \log\left(F\right) + 2 \, e x + 2 \, d\right)}}{4 \, {\left(b c \log\left(F\right) + 2 \, e\right)}} + \frac{F^{a c} e^{\left(b c x \log\left(F\right) - 2 \, e x\right)}}{4 \, {\left(b c e^{\left(2 \, d\right)} \log\left(F\right) - 2 \, e e^{\left(2 \, d\right)}\right)}} - \frac{F^{b c x + a c}}{2 \, b c \log\left(F\right)}"," ",0,"1/4*F^(a*c)*e^(b*c*x*log(F) + 2*e*x + 2*d)/(b*c*log(F) + 2*e) + 1/4*F^(a*c)*e^(b*c*x*log(F) - 2*e*x)/(b*c*e^(2*d)*log(F) - 2*e*e^(2*d)) - 1/2*F^(b*c*x + a*c)/(b*c*log(F))","A",0
324,1,63,0,0.320367," ","integrate(F^(c*(b*x+a))*sinh(e*x+d),x, algorithm=""maxima"")","\frac{F^{a c} e^{\left(b c x \log\left(F\right) + e x + d\right)}}{2 \, {\left(b c \log\left(F\right) + e\right)}} - \frac{F^{a c} e^{\left(b c x \log\left(F\right) - e x\right)}}{2 \, {\left(b c e^{d} \log\left(F\right) - e e^{d}\right)}}"," ",0,"1/2*F^(a*c)*e^(b*c*x*log(F) + e*x + d)/(b*c*log(F) + e) - 1/2*F^(a*c)*e^(b*c*x*log(F) - e*x)/(b*c*e^d*log(F) - e*e^d)","A",0
325,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csch(e*x+d),x, algorithm=""maxima"")","4 \, F^{a c} e \int \frac{e^{\left(b c x \log\left(F\right) + e x + d\right)}}{b c \log\left(F\right) + {\left(b c e^{\left(4 \, d\right)} \log\left(F\right) - e e^{\left(4 \, d\right)}\right)} e^{\left(4 \, e x\right)} - 2 \, {\left(b c e^{\left(2 \, d\right)} \log\left(F\right) - e e^{\left(2 \, d\right)}\right)} e^{\left(2 \, e x\right)} - e}\,{d x} - \frac{2 \, F^{a c} e^{\left(b c x \log\left(F\right) + e x + d\right)}}{b c \log\left(F\right) - {\left(b c e^{\left(2 \, d\right)} \log\left(F\right) - e e^{\left(2 \, d\right)}\right)} e^{\left(2 \, e x\right)} - e}"," ",0,"4*F^(a*c)*e*integrate(e^(b*c*x*log(F) + e*x + d)/(b*c*log(F) + (b*c*e^(4*d)*log(F) - e*e^(4*d))*e^(4*e*x) - 2*(b*c*e^(2*d)*log(F) - e*e^(2*d))*e^(2*e*x) - e), x) - 2*F^(a*c)*e^(b*c*x*log(F) + e*x + d)/(b*c*log(F) - (b*c*e^(2*d)*log(F) - e*e^(2*d))*e^(2*e*x) - e)","F",0
326,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csch(e*x+d)^2,x, algorithm=""maxima"")","16 \, F^{a c} b c e \int -\frac{F^{b c x}}{b^{2} c^{2} \log\left(F\right)^{2} - 6 \, b c e \log\left(F\right) + 8 \, e^{2} - {\left(b^{2} c^{2} e^{\left(6 \, d\right)} \log\left(F\right)^{2} - 6 \, b c e e^{\left(6 \, d\right)} \log\left(F\right) + 8 \, e^{2} e^{\left(6 \, d\right)}\right)} e^{\left(6 \, e x\right)} + 3 \, {\left(b^{2} c^{2} e^{\left(4 \, d\right)} \log\left(F\right)^{2} - 6 \, b c e e^{\left(4 \, d\right)} \log\left(F\right) + 8 \, e^{2} e^{\left(4 \, d\right)}\right)} e^{\left(4 \, e x\right)} - 3 \, {\left(b^{2} c^{2} e^{\left(2 \, d\right)} \log\left(F\right)^{2} - 6 \, b c e e^{\left(2 \, d\right)} \log\left(F\right) + 8 \, e^{2} e^{\left(2 \, d\right)}\right)} e^{\left(2 \, e x\right)}}\,{d x} \log\left(F\right) + \frac{4 \, {\left(4 \, F^{a c} e + {\left(F^{a c} b c e^{\left(2 \, d\right)} \log\left(F\right) - 4 \, F^{a c} e e^{\left(2 \, d\right)}\right)} e^{\left(2 \, e x\right)}\right)} F^{b c x}}{b^{2} c^{2} \log\left(F\right)^{2} - 6 \, b c e \log\left(F\right) + 8 \, e^{2} + {\left(b^{2} c^{2} e^{\left(4 \, d\right)} \log\left(F\right)^{2} - 6 \, b c e e^{\left(4 \, d\right)} \log\left(F\right) + 8 \, e^{2} e^{\left(4 \, d\right)}\right)} e^{\left(4 \, e x\right)} - 2 \, {\left(b^{2} c^{2} e^{\left(2 \, d\right)} \log\left(F\right)^{2} - 6 \, b c e e^{\left(2 \, d\right)} \log\left(F\right) + 8 \, e^{2} e^{\left(2 \, d\right)}\right)} e^{\left(2 \, e x\right)}}"," ",0,"16*F^(a*c)*b*c*e*integrate(-F^(b*c*x)/(b^2*c^2*log(F)^2 - 6*b*c*e*log(F) + 8*e^2 - (b^2*c^2*e^(6*d)*log(F)^2 - 6*b*c*e*e^(6*d)*log(F) + 8*e^2*e^(6*d))*e^(6*e*x) + 3*(b^2*c^2*e^(4*d)*log(F)^2 - 6*b*c*e*e^(4*d)*log(F) + 8*e^2*e^(4*d))*e^(4*e*x) - 3*(b^2*c^2*e^(2*d)*log(F)^2 - 6*b*c*e*e^(2*d)*log(F) + 8*e^2*e^(2*d))*e^(2*e*x)), x)*log(F) + 4*(4*F^(a*c)*e + (F^(a*c)*b*c*e^(2*d)*log(F) - 4*F^(a*c)*e*e^(2*d))*e^(2*e*x))*F^(b*c*x)/(b^2*c^2*log(F)^2 - 6*b*c*e*log(F) + 8*e^2 + (b^2*c^2*e^(4*d)*log(F)^2 - 6*b*c*e*e^(4*d)*log(F) + 8*e^2*e^(4*d))*e^(4*e*x) - 2*(b^2*c^2*e^(2*d)*log(F)^2 - 6*b*c*e*e^(2*d)*log(F) + 8*e^2*e^(2*d))*e^(2*e*x))","F",0
327,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csch(e*x+d)^3,x, algorithm=""maxima"")","48 \, {\left(F^{a c} b c e e^{d} \log\left(F\right) + F^{a c} e^{2} e^{d}\right)} \int \frac{e^{\left(b c x \log\left(F\right) + e x\right)}}{b^{2} c^{2} \log\left(F\right)^{2} - 8 \, b c e \log\left(F\right) + 15 \, e^{2} + {\left(b^{2} c^{2} e^{\left(8 \, d\right)} \log\left(F\right)^{2} - 8 \, b c e e^{\left(8 \, d\right)} \log\left(F\right) + 15 \, e^{2} e^{\left(8 \, d\right)}\right)} e^{\left(8 \, e x\right)} - 4 \, {\left(b^{2} c^{2} e^{\left(6 \, d\right)} \log\left(F\right)^{2} - 8 \, b c e e^{\left(6 \, d\right)} \log\left(F\right) + 15 \, e^{2} e^{\left(6 \, d\right)}\right)} e^{\left(6 \, e x\right)} + 6 \, {\left(b^{2} c^{2} e^{\left(4 \, d\right)} \log\left(F\right)^{2} - 8 \, b c e e^{\left(4 \, d\right)} \log\left(F\right) + 15 \, e^{2} e^{\left(4 \, d\right)}\right)} e^{\left(4 \, e x\right)} - 4 \, {\left(b^{2} c^{2} e^{\left(2 \, d\right)} \log\left(F\right)^{2} - 8 \, b c e e^{\left(2 \, d\right)} \log\left(F\right) + 15 \, e^{2} e^{\left(2 \, d\right)}\right)} e^{\left(2 \, e x\right)}}\,{d x} - \frac{8 \, {\left(6 \, F^{a c} e e^{\left(e x + d\right)} + {\left(F^{a c} b c e^{\left(3 \, d\right)} \log\left(F\right) - 5 \, F^{a c} e e^{\left(3 \, d\right)}\right)} e^{\left(3 \, e x\right)}\right)} F^{b c x}}{b^{2} c^{2} \log\left(F\right)^{2} - 8 \, b c e \log\left(F\right) + 15 \, e^{2} - {\left(b^{2} c^{2} e^{\left(6 \, d\right)} \log\left(F\right)^{2} - 8 \, b c e e^{\left(6 \, d\right)} \log\left(F\right) + 15 \, e^{2} e^{\left(6 \, d\right)}\right)} e^{\left(6 \, e x\right)} + 3 \, {\left(b^{2} c^{2} e^{\left(4 \, d\right)} \log\left(F\right)^{2} - 8 \, b c e e^{\left(4 \, d\right)} \log\left(F\right) + 15 \, e^{2} e^{\left(4 \, d\right)}\right)} e^{\left(4 \, e x\right)} - 3 \, {\left(b^{2} c^{2} e^{\left(2 \, d\right)} \log\left(F\right)^{2} - 8 \, b c e e^{\left(2 \, d\right)} \log\left(F\right) + 15 \, e^{2} e^{\left(2 \, d\right)}\right)} e^{\left(2 \, e x\right)}}"," ",0,"48*(F^(a*c)*b*c*e*e^d*log(F) + F^(a*c)*e^2*e^d)*integrate(e^(b*c*x*log(F) + e*x)/(b^2*c^2*log(F)^2 - 8*b*c*e*log(F) + 15*e^2 + (b^2*c^2*e^(8*d)*log(F)^2 - 8*b*c*e*e^(8*d)*log(F) + 15*e^2*e^(8*d))*e^(8*e*x) - 4*(b^2*c^2*e^(6*d)*log(F)^2 - 8*b*c*e*e^(6*d)*log(F) + 15*e^2*e^(6*d))*e^(6*e*x) + 6*(b^2*c^2*e^(4*d)*log(F)^2 - 8*b*c*e*e^(4*d)*log(F) + 15*e^2*e^(4*d))*e^(4*e*x) - 4*(b^2*c^2*e^(2*d)*log(F)^2 - 8*b*c*e*e^(2*d)*log(F) + 15*e^2*e^(2*d))*e^(2*e*x)), x) - 8*(6*F^(a*c)*e*e^(e*x + d) + (F^(a*c)*b*c*e^(3*d)*log(F) - 5*F^(a*c)*e*e^(3*d))*e^(3*e*x))*F^(b*c*x)/(b^2*c^2*log(F)^2 - 8*b*c*e*log(F) + 15*e^2 - (b^2*c^2*e^(6*d)*log(F)^2 - 8*b*c*e*e^(6*d)*log(F) + 15*e^2*e^(6*d))*e^(6*e*x) + 3*(b^2*c^2*e^(4*d)*log(F)^2 - 8*b*c*e*e^(4*d)*log(F) + 15*e^2*e^(4*d))*e^(4*e*x) - 3*(b^2*c^2*e^(2*d)*log(F)^2 - 8*b*c*e*e^(2*d)*log(F) + 15*e^2*e^(2*d))*e^(2*e*x))","F",0
328,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csch(e*x+d)^4,x, algorithm=""maxima"")","128 \, {\left(F^{a c} b^{2} c^{2} e \log\left(F\right)^{2} + 2 \, F^{a c} b c e^{2} \log\left(F\right)\right)} \int -\frac{F^{b c x}}{b^{3} c^{3} \log\left(F\right)^{3} - 18 \, b^{2} c^{2} e \log\left(F\right)^{2} + 104 \, b c e^{2} \log\left(F\right) - 192 \, e^{3} - {\left(b^{3} c^{3} e^{\left(10 \, d\right)} \log\left(F\right)^{3} - 18 \, b^{2} c^{2} e e^{\left(10 \, d\right)} \log\left(F\right)^{2} + 104 \, b c e^{2} e^{\left(10 \, d\right)} \log\left(F\right) - 192 \, e^{3} e^{\left(10 \, d\right)}\right)} e^{\left(10 \, e x\right)} + 5 \, {\left(b^{3} c^{3} e^{\left(8 \, d\right)} \log\left(F\right)^{3} - 18 \, b^{2} c^{2} e e^{\left(8 \, d\right)} \log\left(F\right)^{2} + 104 \, b c e^{2} e^{\left(8 \, d\right)} \log\left(F\right) - 192 \, e^{3} e^{\left(8 \, d\right)}\right)} e^{\left(8 \, e x\right)} - 10 \, {\left(b^{3} c^{3} e^{\left(6 \, d\right)} \log\left(F\right)^{3} - 18 \, b^{2} c^{2} e e^{\left(6 \, d\right)} \log\left(F\right)^{2} + 104 \, b c e^{2} e^{\left(6 \, d\right)} \log\left(F\right) - 192 \, e^{3} e^{\left(6 \, d\right)}\right)} e^{\left(6 \, e x\right)} + 10 \, {\left(b^{3} c^{3} e^{\left(4 \, d\right)} \log\left(F\right)^{3} - 18 \, b^{2} c^{2} e e^{\left(4 \, d\right)} \log\left(F\right)^{2} + 104 \, b c e^{2} e^{\left(4 \, d\right)} \log\left(F\right) - 192 \, e^{3} e^{\left(4 \, d\right)}\right)} e^{\left(4 \, e x\right)} - 5 \, {\left(b^{3} c^{3} e^{\left(2 \, d\right)} \log\left(F\right)^{3} - 18 \, b^{2} c^{2} e e^{\left(2 \, d\right)} \log\left(F\right)^{2} + 104 \, b c e^{2} e^{\left(2 \, d\right)} \log\left(F\right) - 192 \, e^{3} e^{\left(2 \, d\right)}\right)} e^{\left(2 \, e x\right)}}\,{d x} + \frac{16 \, {\left(8 \, F^{a c} b c e \log\left(F\right) + 16 \, F^{a c} e^{2} + {\left(F^{a c} b^{2} c^{2} e^{\left(4 \, d\right)} \log\left(F\right)^{2} - 14 \, F^{a c} b c e e^{\left(4 \, d\right)} \log\left(F\right) + 48 \, F^{a c} e^{2} e^{\left(4 \, d\right)}\right)} e^{\left(4 \, e x\right)} + 8 \, {\left(F^{a c} b c e e^{\left(2 \, d\right)} \log\left(F\right) - 8 \, F^{a c} e^{2} e^{\left(2 \, d\right)}\right)} e^{\left(2 \, e x\right)}\right)} F^{b c x}}{b^{3} c^{3} \log\left(F\right)^{3} - 18 \, b^{2} c^{2} e \log\left(F\right)^{2} + 104 \, b c e^{2} \log\left(F\right) - 192 \, e^{3} + {\left(b^{3} c^{3} e^{\left(8 \, d\right)} \log\left(F\right)^{3} - 18 \, b^{2} c^{2} e e^{\left(8 \, d\right)} \log\left(F\right)^{2} + 104 \, b c e^{2} e^{\left(8 \, d\right)} \log\left(F\right) - 192 \, e^{3} e^{\left(8 \, d\right)}\right)} e^{\left(8 \, e x\right)} - 4 \, {\left(b^{3} c^{3} e^{\left(6 \, d\right)} \log\left(F\right)^{3} - 18 \, b^{2} c^{2} e e^{\left(6 \, d\right)} \log\left(F\right)^{2} + 104 \, b c e^{2} e^{\left(6 \, d\right)} \log\left(F\right) - 192 \, e^{3} e^{\left(6 \, d\right)}\right)} e^{\left(6 \, e x\right)} + 6 \, {\left(b^{3} c^{3} e^{\left(4 \, d\right)} \log\left(F\right)^{3} - 18 \, b^{2} c^{2} e e^{\left(4 \, d\right)} \log\left(F\right)^{2} + 104 \, b c e^{2} e^{\left(4 \, d\right)} \log\left(F\right) - 192 \, e^{3} e^{\left(4 \, d\right)}\right)} e^{\left(4 \, e x\right)} - 4 \, {\left(b^{3} c^{3} e^{\left(2 \, d\right)} \log\left(F\right)^{3} - 18 \, b^{2} c^{2} e e^{\left(2 \, d\right)} \log\left(F\right)^{2} + 104 \, b c e^{2} e^{\left(2 \, d\right)} \log\left(F\right) - 192 \, e^{3} e^{\left(2 \, d\right)}\right)} e^{\left(2 \, e x\right)}}"," ",0,"128*(F^(a*c)*b^2*c^2*e*log(F)^2 + 2*F^(a*c)*b*c*e^2*log(F))*integrate(-F^(b*c*x)/(b^3*c^3*log(F)^3 - 18*b^2*c^2*e*log(F)^2 + 104*b*c*e^2*log(F) - 192*e^3 - (b^3*c^3*e^(10*d)*log(F)^3 - 18*b^2*c^2*e*e^(10*d)*log(F)^2 + 104*b*c*e^2*e^(10*d)*log(F) - 192*e^3*e^(10*d))*e^(10*e*x) + 5*(b^3*c^3*e^(8*d)*log(F)^3 - 18*b^2*c^2*e*e^(8*d)*log(F)^2 + 104*b*c*e^2*e^(8*d)*log(F) - 192*e^3*e^(8*d))*e^(8*e*x) - 10*(b^3*c^3*e^(6*d)*log(F)^3 - 18*b^2*c^2*e*e^(6*d)*log(F)^2 + 104*b*c*e^2*e^(6*d)*log(F) - 192*e^3*e^(6*d))*e^(6*e*x) + 10*(b^3*c^3*e^(4*d)*log(F)^3 - 18*b^2*c^2*e*e^(4*d)*log(F)^2 + 104*b*c*e^2*e^(4*d)*log(F) - 192*e^3*e^(4*d))*e^(4*e*x) - 5*(b^3*c^3*e^(2*d)*log(F)^3 - 18*b^2*c^2*e*e^(2*d)*log(F)^2 + 104*b*c*e^2*e^(2*d)*log(F) - 192*e^3*e^(2*d))*e^(2*e*x)), x) + 16*(8*F^(a*c)*b*c*e*log(F) + 16*F^(a*c)*e^2 + (F^(a*c)*b^2*c^2*e^(4*d)*log(F)^2 - 14*F^(a*c)*b*c*e*e^(4*d)*log(F) + 48*F^(a*c)*e^2*e^(4*d))*e^(4*e*x) + 8*(F^(a*c)*b*c*e*e^(2*d)*log(F) - 8*F^(a*c)*e^2*e^(2*d))*e^(2*e*x))*F^(b*c*x)/(b^3*c^3*log(F)^3 - 18*b^2*c^2*e*log(F)^2 + 104*b*c*e^2*log(F) - 192*e^3 + (b^3*c^3*e^(8*d)*log(F)^3 - 18*b^2*c^2*e*e^(8*d)*log(F)^2 + 104*b*c*e^2*e^(8*d)*log(F) - 192*e^3*e^(8*d))*e^(8*e*x) - 4*(b^3*c^3*e^(6*d)*log(F)^3 - 18*b^2*c^2*e*e^(6*d)*log(F)^2 + 104*b*c*e^2*e^(6*d)*log(F) - 192*e^3*e^(6*d))*e^(6*e*x) + 6*(b^3*c^3*e^(4*d)*log(F)^3 - 18*b^2*c^2*e*e^(4*d)*log(F)^2 + 104*b*c*e^2*e^(4*d)*log(F) - 192*e^3*e^(4*d))*e^(4*e*x) - 4*(b^3*c^3*e^(2*d)*log(F)^3 - 18*b^2*c^2*e*e^(2*d)*log(F)^2 + 104*b*c*e^2*e^(2*d)*log(F) - 192*e^3*e^(2*d))*e^(2*e*x))","F",0
329,1,90,0,0.412117," ","integrate(exp(c*(b*x+a))*(sinh(b*c*x+a*c)^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(2 \, e^{\left(10 \, b c x + 10 \, a c\right)} - 15 \, e^{\left(8 \, b c x + 8 \, a c\right)} + 60 \, e^{\left(6 \, b c x + 6 \, a c\right)} - 30 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 3\right)} e^{\left(-4 \, b c x - 4 \, a c\right)}}{384 \, b c} - \frac{5 \, {\left(b c x + a c\right)}}{16 \, b c}"," ",0,"1/384*(2*e^(10*b*c*x + 10*a*c) - 15*e^(8*b*c*x + 8*a*c) + 60*e^(6*b*c*x + 6*a*c) - 30*e^(2*b*c*x + 2*a*c) + 3)*e^(-4*b*c*x - 4*a*c)/(b*c) - 5/16*(b*c*x + a*c)/(b*c)","A",0
330,1,62,0,0.415157," ","integrate(exp(c*(b*x+a))*(sinh(b*c*x+a*c)^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(e^{\left(6 \, b c x + 6 \, a c\right)} - 6 \, e^{\left(4 \, b c x + 4 \, a c\right)} + 2\right)} e^{\left(-2 \, b c x - 2 \, a c\right)}}{32 \, b c} + \frac{3 \, {\left(b c x + a c\right)}}{8 \, b c}"," ",0,"1/32*(e^(6*b*c*x + 6*a*c) - 6*e^(4*b*c*x + 4*a*c) + 2)*e^(-2*b*c*x - 2*a*c)/(b*c) + 3/8*(b*c*x + a*c)/(b*c)","A",0
331,1,36,0,0.410990," ","integrate(exp(c*(b*x+a))*(sinh(b*c*x+a*c)^2)^(1/2),x, algorithm=""maxima"")","-\frac{b c x + a c}{2 \, b c} + \frac{e^{\left(2 \, b c x + 2 \, a c\right)}}{4 \, b c}"," ",0,"-1/2*(b*c*x + a*c)/(b*c) + 1/4*e^(2*b*c*x + 2*a*c)/(b*c)","A",0
332,1,39,0,0.412884," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(e^{\left(b c x + a c\right)} + 1\right)}{b c} + \frac{\log\left(e^{\left(b c x + a c\right)} - 1\right)}{b c}"," ",0,"log(e^(b*c*x + a*c) + 1)/(b*c) + log(e^(b*c*x + a*c) - 1)/(b*c)","A",0
333,1,84,0,0.414007," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(3/2),x, algorithm=""maxima"")","-\frac{4 \, e^{\left(2 \, b c x + 2 \, a c\right)}}{b c {\left(e^{\left(4 \, b c x + 4 \, a c\right)} - 2 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}} + \frac{2}{b c {\left(e^{\left(4 \, b c x + 4 \, a c\right)} - 2 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}}"," ",0,"-4*e^(2*b*c*x + 2*a*c)/(b*c*(e^(4*b*c*x + 4*a*c) - 2*e^(2*b*c*x + 2*a*c) + 1)) + 2/(b*c*(e^(4*b*c*x + 4*a*c) - 2*e^(2*b*c*x + 2*a*c) + 1))","A",0
334,1,209,0,0.415960," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(5/2),x, algorithm=""maxima"")","-\frac{8 \, e^{\left(4 \, b c x + 4 \, a c\right)}}{b c {\left(e^{\left(8 \, b c x + 8 \, a c\right)} - 4 \, e^{\left(6 \, b c x + 6 \, a c\right)} + 6 \, e^{\left(4 \, b c x + 4 \, a c\right)} - 4 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}} + \frac{16 \, e^{\left(2 \, b c x + 2 \, a c\right)}}{3 \, b c {\left(e^{\left(8 \, b c x + 8 \, a c\right)} - 4 \, e^{\left(6 \, b c x + 6 \, a c\right)} + 6 \, e^{\left(4 \, b c x + 4 \, a c\right)} - 4 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}} - \frac{4}{3 \, b c {\left(e^{\left(8 \, b c x + 8 \, a c\right)} - 4 \, e^{\left(6 \, b c x + 6 \, a c\right)} + 6 \, e^{\left(4 \, b c x + 4 \, a c\right)} - 4 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}}"," ",0,"-8*e^(4*b*c*x + 4*a*c)/(b*c*(e^(8*b*c*x + 8*a*c) - 4*e^(6*b*c*x + 6*a*c) + 6*e^(4*b*c*x + 4*a*c) - 4*e^(2*b*c*x + 2*a*c) + 1)) + 16/3*e^(2*b*c*x + 2*a*c)/(b*c*(e^(8*b*c*x + 8*a*c) - 4*e^(6*b*c*x + 6*a*c) + 6*e^(4*b*c*x + 4*a*c) - 4*e^(2*b*c*x + 2*a*c) + 1)) - 4/3/(b*c*(e^(8*b*c*x + 8*a*c) - 4*e^(6*b*c*x + 6*a*c) + 6*e^(4*b*c*x + 4*a*c) - 4*e^(2*b*c*x + 2*a*c) + 1))","A",0
335,1,386,0,0.416971," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(7/2),x, algorithm=""maxima"")","-\frac{64 \, e^{\left(6 \, b c x + 6 \, a c\right)}}{3 \, b c {\left(e^{\left(12 \, b c x + 12 \, a c\right)} - 6 \, e^{\left(10 \, b c x + 10 \, a c\right)} + 15 \, e^{\left(8 \, b c x + 8 \, a c\right)} - 20 \, e^{\left(6 \, b c x + 6 \, a c\right)} + 15 \, e^{\left(4 \, b c x + 4 \, a c\right)} - 6 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}} + \frac{16 \, e^{\left(4 \, b c x + 4 \, a c\right)}}{b c {\left(e^{\left(12 \, b c x + 12 \, a c\right)} - 6 \, e^{\left(10 \, b c x + 10 \, a c\right)} + 15 \, e^{\left(8 \, b c x + 8 \, a c\right)} - 20 \, e^{\left(6 \, b c x + 6 \, a c\right)} + 15 \, e^{\left(4 \, b c x + 4 \, a c\right)} - 6 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}} - \frac{32 \, e^{\left(2 \, b c x + 2 \, a c\right)}}{5 \, b c {\left(e^{\left(12 \, b c x + 12 \, a c\right)} - 6 \, e^{\left(10 \, b c x + 10 \, a c\right)} + 15 \, e^{\left(8 \, b c x + 8 \, a c\right)} - 20 \, e^{\left(6 \, b c x + 6 \, a c\right)} + 15 \, e^{\left(4 \, b c x + 4 \, a c\right)} - 6 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}} + \frac{16}{15 \, b c {\left(e^{\left(12 \, b c x + 12 \, a c\right)} - 6 \, e^{\left(10 \, b c x + 10 \, a c\right)} + 15 \, e^{\left(8 \, b c x + 8 \, a c\right)} - 20 \, e^{\left(6 \, b c x + 6 \, a c\right)} + 15 \, e^{\left(4 \, b c x + 4 \, a c\right)} - 6 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}}"," ",0,"-64/3*e^(6*b*c*x + 6*a*c)/(b*c*(e^(12*b*c*x + 12*a*c) - 6*e^(10*b*c*x + 10*a*c) + 15*e^(8*b*c*x + 8*a*c) - 20*e^(6*b*c*x + 6*a*c) + 15*e^(4*b*c*x + 4*a*c) - 6*e^(2*b*c*x + 2*a*c) + 1)) + 16*e^(4*b*c*x + 4*a*c)/(b*c*(e^(12*b*c*x + 12*a*c) - 6*e^(10*b*c*x + 10*a*c) + 15*e^(8*b*c*x + 8*a*c) - 20*e^(6*b*c*x + 6*a*c) + 15*e^(4*b*c*x + 4*a*c) - 6*e^(2*b*c*x + 2*a*c) + 1)) - 32/5*e^(2*b*c*x + 2*a*c)/(b*c*(e^(12*b*c*x + 12*a*c) - 6*e^(10*b*c*x + 10*a*c) + 15*e^(8*b*c*x + 8*a*c) - 20*e^(6*b*c*x + 6*a*c) + 15*e^(4*b*c*x + 4*a*c) - 6*e^(2*b*c*x + 2*a*c) + 1)) + 16/15/(b*c*(e^(12*b*c*x + 12*a*c) - 6*e^(10*b*c*x + 10*a*c) + 15*e^(8*b*c*x + 8*a*c) - 20*e^(6*b*c*x + 6*a*c) + 15*e^(4*b*c*x + 4*a*c) - 6*e^(2*b*c*x + 2*a*c) + 1))","B",0
336,-2,0,0,0.000000," ","integrate(exp(x)*sinh(b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(-b>0)', see `assume?` for more details)Is -b equal to -1?","F(-2)",0
337,1,65,0,0.306242," ","integrate(exp(x)*sinh(c*x^2+a),x, algorithm=""maxima"")","\frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{-c} x - \frac{1}{2 \, \sqrt{-c}}\right) e^{\left(a - \frac{1}{4 \, c}\right)}}{4 \, \sqrt{-c}} - \frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{c} x - \frac{1}{2 \, \sqrt{c}}\right) e^{\left(-a + \frac{1}{4 \, c}\right)}}{4 \, \sqrt{c}}"," ",0,"1/4*sqrt(pi)*erf(sqrt(-c)*x - 1/2/sqrt(-c))*e^(a - 1/4/c)/sqrt(-c) - 1/4*sqrt(pi)*erf(sqrt(c)*x - 1/2/sqrt(c))*e^(-a + 1/4/c)/sqrt(c)","A",0
338,1,81,0,0.315560," ","integrate(exp(x)*sinh(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{-c} x - \frac{b + 1}{2 \, \sqrt{-c}}\right) e^{\left(a - \frac{{\left(b + 1\right)}^{2}}{4 \, c}\right)}}{4 \, \sqrt{-c}} - \frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{c} x + \frac{b - 1}{2 \, \sqrt{c}}\right) e^{\left(-a + \frac{{\left(b - 1\right)}^{2}}{4 \, c}\right)}}{4 \, \sqrt{c}}"," ",0,"1/4*sqrt(pi)*erf(sqrt(-c)*x - 1/2*(b + 1)/sqrt(-c))*e^(a - 1/4*(b + 1)^2/c)/sqrt(-c) - 1/4*sqrt(pi)*erf(sqrt(c)*x + 1/2*(b - 1)/sqrt(c))*e^(-a + 1/4*(b - 1)^2/c)/sqrt(c)","A",0
339,1,45,0,0.311836," ","integrate(exp(x^2)*sinh(b*x+a),x, algorithm=""maxima"")","-\frac{1}{4} i \, \sqrt{\pi} \operatorname{erf}\left(\frac{1}{2} i \, b + i \, x\right) e^{\left(-\frac{1}{4} \, b^{2} + a\right)} + \frac{1}{4} i \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} i \, b + i \, x\right) e^{\left(-\frac{1}{4} \, b^{2} - a\right)}"," ",0,"-1/4*I*sqrt(pi)*erf(1/2*I*b + I*x)*e^(-1/4*b^2 + a) + 1/4*I*sqrt(pi)*erf(-1/2*I*b + I*x)*e^(-1/4*b^2 - a)","C",0
340,1,47,0,0.306956," ","integrate(exp(x^2)*sinh(c*x^2+a),x, algorithm=""maxima"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{c - 1} x\right) e^{\left(-a\right)}}{4 \, \sqrt{c - 1}} + \frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{-c - 1} x\right) e^{a}}{4 \, \sqrt{-c - 1}}"," ",0,"-1/4*sqrt(pi)*erf(sqrt(c - 1)*x)*e^(-a)/sqrt(c - 1) + 1/4*sqrt(pi)*erf(sqrt(-c - 1)*x)*e^a/sqrt(-c - 1)","A",0
341,1,89,0,0.318760," ","integrate(exp(x^2)*sinh(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{-c - 1} x - \frac{b}{2 \, \sqrt{-c - 1}}\right) e^{\left(a - \frac{b^{2}}{4 \, {\left(c + 1\right)}}\right)}}{4 \, \sqrt{-c - 1}} - \frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{c - 1} x + \frac{b}{2 \, \sqrt{c - 1}}\right) e^{\left(-a + \frac{b^{2}}{4 \, {\left(c - 1\right)}}\right)}}{4 \, \sqrt{c - 1}}"," ",0,"1/4*sqrt(pi)*erf(sqrt(-c - 1)*x - 1/2*b/sqrt(-c - 1))*e^(a - 1/4*b^2/(c + 1))/sqrt(-c - 1) - 1/4*sqrt(pi)*erf(sqrt(c - 1)*x + 1/2*b/sqrt(c - 1))*e^(-a + 1/4*b^2/(c - 1))/sqrt(c - 1)","A",0
342,1,90,0,0.318545," ","integrate(f^(b*x+a)*sinh(f*x^2+d),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{\pi} f^{a - \frac{1}{2}} \operatorname{erf}\left(\sqrt{f} x - \frac{b \log\left(f\right)}{2 \, \sqrt{f}}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2}}{4 \, f} - d\right)} + \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-f} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-f}}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2}}{4 \, f} + d\right)}}{4 \, \sqrt{-f}}"," ",0,"-1/4*sqrt(pi)*f^(a - 1/2)*erf(sqrt(f)*x - 1/2*b*log(f)/sqrt(f))*e^(1/4*b^2*log(f)^2/f - d) + 1/4*sqrt(pi)*f^a*erf(sqrt(-f)*x - 1/2*b*log(f)/sqrt(-f))*e^(-1/4*b^2*log(f)^2/f + d)/sqrt(-f)","A",0
343,1,127,0,0.412176," ","integrate(f^(b*x+a)*sinh(f*x^2+d)^2,x, algorithm=""maxima"")","\frac{\sqrt{2} \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{2} \sqrt{f} x - \frac{\sqrt{2} b \log\left(f\right)}{4 \, \sqrt{f}}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2}}{8 \, f} - 2 \, d\right)}}{16 \, \sqrt{f}} + \frac{\sqrt{2} \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{2} \sqrt{-f} x - \frac{\sqrt{2} b \log\left(f\right)}{4 \, \sqrt{-f}}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2}}{8 \, f} + 2 \, d\right)}}{16 \, \sqrt{-f}} - \frac{f^{b x + a}}{2 \, b \log\left(f\right)}"," ",0,"1/16*sqrt(2)*sqrt(pi)*f^a*erf(sqrt(2)*sqrt(f)*x - 1/4*sqrt(2)*b*log(f)/sqrt(f))*e^(1/8*b^2*log(f)^2/f - 2*d)/sqrt(f) + 1/16*sqrt(2)*sqrt(pi)*f^a*erf(sqrt(2)*sqrt(-f)*x - 1/4*sqrt(2)*b*log(f)/sqrt(-f))*e^(-1/8*b^2*log(f)^2/f + 2*d)/sqrt(-f) - 1/2*f^(b*x + a)/(b*log(f))","A",0
344,1,200,0,0.424331," ","integrate(f^(b*x+a)*sinh(f*x^2+d)^3,x, algorithm=""maxima"")","\frac{3}{16} \, \sqrt{\pi} f^{a - \frac{1}{2}} \operatorname{erf}\left(\sqrt{f} x - \frac{b \log\left(f\right)}{2 \, \sqrt{f}}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2}}{4 \, f} - d\right)} - \frac{\sqrt{3} \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{3} \sqrt{f} x - \frac{\sqrt{3} b \log\left(f\right)}{6 \, \sqrt{f}}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2}}{12 \, f} - 3 \, d\right)}}{48 \, \sqrt{f}} + \frac{\sqrt{3} \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{3} \sqrt{-f} x - \frac{\sqrt{3} b \log\left(f\right)}{6 \, \sqrt{-f}}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2}}{12 \, f} + 3 \, d\right)}}{48 \, \sqrt{-f}} - \frac{3 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-f} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-f}}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2}}{4 \, f} + d\right)}}{16 \, \sqrt{-f}}"," ",0,"3/16*sqrt(pi)*f^(a - 1/2)*erf(sqrt(f)*x - 1/2*b*log(f)/sqrt(f))*e^(1/4*b^2*log(f)^2/f - d) - 1/48*sqrt(3)*sqrt(pi)*f^a*erf(sqrt(3)*sqrt(f)*x - 1/6*sqrt(3)*b*log(f)/sqrt(f))*e^(1/12*b^2*log(f)^2/f - 3*d)/sqrt(f) + 1/48*sqrt(3)*sqrt(pi)*f^a*erf(sqrt(3)*sqrt(-f)*x - 1/6*sqrt(3)*b*log(f)/sqrt(-f))*e^(-1/12*b^2*log(f)^2/f + 3*d)/sqrt(-f) - 3/16*sqrt(pi)*f^a*erf(sqrt(-f)*x - 1/2*b*log(f)/sqrt(-f))*e^(-1/4*b^2*log(f)^2/f + d)/sqrt(-f)","A",0
345,1,102,0,0.334524," ","integrate(f^(b*x+a)*sinh(f*x^2+e*x+d),x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{\pi} f^{a - \frac{1}{2}} \operatorname{erf}\left(\sqrt{f} x - \frac{b \log\left(f\right) - e}{2 \, \sqrt{f}}\right) e^{\left(-d + \frac{{\left(b \log\left(f\right) - e\right)}^{2}}{4 \, f}\right)} + \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-f} x - \frac{b \log\left(f\right) + e}{2 \, \sqrt{-f}}\right) e^{\left(d - \frac{{\left(b \log\left(f\right) + e\right)}^{2}}{4 \, f}\right)}}{4 \, \sqrt{-f}}"," ",0,"-1/4*sqrt(pi)*f^(a - 1/2)*erf(sqrt(f)*x - 1/2*(b*log(f) - e)/sqrt(f))*e^(-d + 1/4*(b*log(f) - e)^2/f) + 1/4*sqrt(pi)*f^a*erf(sqrt(-f)*x - 1/2*(b*log(f) + e)/sqrt(-f))*e^(d - 1/4*(b*log(f) + e)^2/f)/sqrt(-f)","A",0
346,1,143,0,0.427983," ","integrate(f^(b*x+a)*sinh(f*x^2+e*x+d)^2,x, algorithm=""maxima"")","\frac{\sqrt{2} \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{2} \sqrt{-f} x - \frac{\sqrt{2} {\left(b \log\left(f\right) + 2 \, e\right)}}{4 \, \sqrt{-f}}\right) e^{\left(2 \, d - \frac{{\left(b \log\left(f\right) + 2 \, e\right)}^{2}}{8 \, f}\right)}}{16 \, \sqrt{-f}} + \frac{\sqrt{2} \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{2} \sqrt{f} x - \frac{\sqrt{2} {\left(b \log\left(f\right) - 2 \, e\right)}}{4 \, \sqrt{f}}\right) e^{\left(-2 \, d + \frac{{\left(b \log\left(f\right) - 2 \, e\right)}^{2}}{8 \, f}\right)}}{16 \, \sqrt{f}} - \frac{f^{b x + a}}{2 \, b \log\left(f\right)}"," ",0,"1/16*sqrt(2)*sqrt(pi)*f^a*erf(sqrt(2)*sqrt(-f)*x - 1/4*sqrt(2)*(b*log(f) + 2*e)/sqrt(-f))*e^(2*d - 1/8*(b*log(f) + 2*e)^2/f)/sqrt(-f) + 1/16*sqrt(2)*sqrt(pi)*f^a*erf(sqrt(2)*sqrt(f)*x - 1/4*sqrt(2)*(b*log(f) - 2*e)/sqrt(f))*e^(-2*d + 1/8*(b*log(f) - 2*e)^2/f)/sqrt(f) - 1/2*f^(b*x + a)/(b*log(f))","A",0
347,1,228,0,0.425096," ","integrate(f^(b*x+a)*sinh(f*x^2+e*x+d)^3,x, algorithm=""maxima"")","\frac{\sqrt{3} \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{3} \sqrt{-f} x - \frac{\sqrt{3} {\left(b \log\left(f\right) + 3 \, e\right)}}{6 \, \sqrt{-f}}\right) e^{\left(3 \, d - \frac{{\left(b \log\left(f\right) + 3 \, e\right)}^{2}}{12 \, f}\right)}}{48 \, \sqrt{-f}} + \frac{3}{16} \, \sqrt{\pi} f^{a - \frac{1}{2}} \operatorname{erf}\left(\sqrt{f} x - \frac{b \log\left(f\right) - e}{2 \, \sqrt{f}}\right) e^{\left(-d + \frac{{\left(b \log\left(f\right) - e\right)}^{2}}{4 \, f}\right)} - \frac{\sqrt{3} \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{3} \sqrt{f} x - \frac{\sqrt{3} {\left(b \log\left(f\right) - 3 \, e\right)}}{6 \, \sqrt{f}}\right) e^{\left(-3 \, d + \frac{{\left(b \log\left(f\right) - 3 \, e\right)}^{2}}{12 \, f}\right)}}{48 \, \sqrt{f}} - \frac{3 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-f} x - \frac{b \log\left(f\right) + e}{2 \, \sqrt{-f}}\right) e^{\left(d - \frac{{\left(b \log\left(f\right) + e\right)}^{2}}{4 \, f}\right)}}{16 \, \sqrt{-f}}"," ",0,"1/48*sqrt(3)*sqrt(pi)*f^a*erf(sqrt(3)*sqrt(-f)*x - 1/6*sqrt(3)*(b*log(f) + 3*e)/sqrt(-f))*e^(3*d - 1/12*(b*log(f) + 3*e)^2/f)/sqrt(-f) + 3/16*sqrt(pi)*f^(a - 1/2)*erf(sqrt(f)*x - 1/2*(b*log(f) - e)/sqrt(f))*e^(-d + 1/4*(b*log(f) - e)^2/f) - 1/48*sqrt(3)*sqrt(pi)*f^a*erf(sqrt(3)*sqrt(f)*x - 1/6*sqrt(3)*(b*log(f) - 3*e)/sqrt(f))*e^(-3*d + 1/12*(b*log(f) - 3*e)^2/f)/sqrt(f) - 3/16*sqrt(pi)*f^a*erf(sqrt(-f)*x - 1/2*(b*log(f) + e)/sqrt(-f))*e^(d - 1/4*(b*log(f) + e)^2/f)/sqrt(-f)","A",0
348,1,105,0,0.319255," ","integrate(f^(c*x^2+a)*sinh(e*x+d),x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(d - \frac{e^{2}}{4 \, c \log\left(f\right)}\right)}}{4 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x + \frac{e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(-d - \frac{e^{2}}{4 \, c \log\left(f\right)}\right)}}{4 \, \sqrt{-c \log\left(f\right)}}"," ",0,"1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - 1/2*e/sqrt(-c*log(f)))*e^(d - 1/4*e^2/(c*log(f)))/sqrt(-c*log(f)) - 1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x + 1/2*e/sqrt(-c*log(f)))*e^(-d - 1/4*e^2/(c*log(f)))/sqrt(-c*log(f))","A",0
349,1,131,0,0.317623," ","integrate(f^(c*x^2+a)*sinh(e*x+d)^2,x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{e}{\sqrt{-c \log\left(f\right)}}\right) e^{\left(2 \, d - \frac{e^{2}}{c \log\left(f\right)}\right)}}{8 \, \sqrt{-c \log\left(f\right)}} + \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x + \frac{e}{\sqrt{-c \log\left(f\right)}}\right) e^{\left(-2 \, d - \frac{e^{2}}{c \log\left(f\right)}\right)}}{8 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x\right)}{4 \, \sqrt{-c \log\left(f\right)}}"," ",0,"1/8*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - e/sqrt(-c*log(f)))*e^(2*d - e^2/(c*log(f)))/sqrt(-c*log(f)) + 1/8*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x + e/sqrt(-c*log(f)))*e^(-2*d - e^2/(c*log(f)))/sqrt(-c*log(f)) - 1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x)/sqrt(-c*log(f))","A",0
350,1,211,0,0.325662," ","integrate(f^(c*x^2+a)*sinh(e*x+d)^3,x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{3 \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(3 \, d - \frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} - \frac{3 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(d - \frac{e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} + \frac{3 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x + \frac{e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(-d - \frac{e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x + \frac{3 \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(-3 \, d - \frac{9 \, e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}}"," ",0,"1/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - 3/2*e/sqrt(-c*log(f)))*e^(3*d - 9/4*e^2/(c*log(f)))/sqrt(-c*log(f)) - 3/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - 1/2*e/sqrt(-c*log(f)))*e^(d - 1/4*e^2/(c*log(f)))/sqrt(-c*log(f)) + 3/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x + 1/2*e/sqrt(-c*log(f)))*e^(-d - 1/4*e^2/(c*log(f)))/sqrt(-c*log(f)) - 1/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x + 3/2*e/sqrt(-c*log(f)))*e^(-3*d - 9/4*e^2/(c*log(f)))/sqrt(-c*log(f))","A",0
351,1,69,0,0.321461," ","integrate(f^(c*x^2+a)*sinh(f*x^2+d),x, algorithm=""maxima"")","-\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + f} x\right) e^{\left(-d\right)}}{4 \, \sqrt{-c \log\left(f\right) + f}} + \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - f} x\right) e^{d}}{4 \, \sqrt{-c \log\left(f\right) - f}}"," ",0,"-1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + f)*x)*e^(-d)/sqrt(-c*log(f) + f) + 1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - f)*x)*e^d/sqrt(-c*log(f) - f)","A",0
352,1,100,0,0.323205," ","integrate(f^(c*x^2+a)*sinh(f*x^2+d)^2,x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 2 \, f} x\right) e^{\left(2 \, d\right)}}{8 \, \sqrt{-c \log\left(f\right) - 2 \, f}} + \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 2 \, f} x\right) e^{\left(-2 \, d\right)}}{8 \, \sqrt{-c \log\left(f\right) + 2 \, f}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x\right)}{4 \, \sqrt{-c \log\left(f\right)}}"," ",0,"1/8*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - 2*f)*x)*e^(2*d)/sqrt(-c*log(f) - 2*f) + 1/8*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + 2*f)*x)*e^(-2*d)/sqrt(-c*log(f) + 2*f) - 1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x)/sqrt(-c*log(f))","A",0
353,1,143,0,0.327506," ","integrate(f^(c*x^2+a)*sinh(f*x^2+d)^3,x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 3 \, f} x\right) e^{\left(3 \, d\right)}}{16 \, \sqrt{-c \log\left(f\right) - 3 \, f}} + \frac{3 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + f} x\right) e^{\left(-d\right)}}{16 \, \sqrt{-c \log\left(f\right) + f}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 3 \, f} x\right) e^{\left(-3 \, d\right)}}{16 \, \sqrt{-c \log\left(f\right) + 3 \, f}} - \frac{3 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - f} x\right) e^{d}}{16 \, \sqrt{-c \log\left(f\right) - f}}"," ",0,"1/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - 3*f)*x)*e^(3*d)/sqrt(-c*log(f) - 3*f) + 3/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + f)*x)*e^(-d)/sqrt(-c*log(f) + f) - 1/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + 3*f)*x)*e^(-3*d)/sqrt(-c*log(f) + 3*f) - 3/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - f)*x)*e^d/sqrt(-c*log(f) - f)","A",0
354,1,127,0,0.323168," ","integrate(f^(c*x^2+a)*sinh(f*x^2+e*x+d),x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - f} x - \frac{e}{2 \, \sqrt{-c \log\left(f\right) - f}}\right) e^{\left(d - \frac{e^{2}}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)}}{4 \, \sqrt{-c \log\left(f\right) - f}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + f} x + \frac{e}{2 \, \sqrt{-c \log\left(f\right) + f}}\right) e^{\left(-d - \frac{e^{2}}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)}}{4 \, \sqrt{-c \log\left(f\right) + f}}"," ",0,"1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - f)*x - 1/2*e/sqrt(-c*log(f) - f))*e^(d - 1/4*e^2/(c*log(f) + f))/sqrt(-c*log(f) - f) - 1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + f)*x + 1/2*e/sqrt(-c*log(f) + f))*e^(-d - 1/4*e^2/(c*log(f) - f))/sqrt(-c*log(f) + f)","A",0
355,1,161,0,0.415992," ","integrate(f^(c*x^2+a)*sinh(f*x^2+e*x+d)^2,x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 2 \, f} x - \frac{e}{\sqrt{-c \log\left(f\right) - 2 \, f}}\right) e^{\left(2 \, d - \frac{e^{2}}{c \log\left(f\right) + 2 \, f}\right)}}{8 \, \sqrt{-c \log\left(f\right) - 2 \, f}} + \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 2 \, f} x + \frac{e}{\sqrt{-c \log\left(f\right) + 2 \, f}}\right) e^{\left(-2 \, d - \frac{e^{2}}{c \log\left(f\right) - 2 \, f}\right)}}{8 \, \sqrt{-c \log\left(f\right) + 2 \, f}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x\right)}{4 \, \sqrt{-c \log\left(f\right)}}"," ",0,"1/8*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - 2*f)*x - e/sqrt(-c*log(f) - 2*f))*e^(2*d - e^2/(c*log(f) + 2*f))/sqrt(-c*log(f) - 2*f) + 1/8*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + 2*f)*x + e/sqrt(-c*log(f) + 2*f))*e^(-2*d - e^2/(c*log(f) - 2*f))/sqrt(-c*log(f) + 2*f) - 1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x)/sqrt(-c*log(f))","A",0
356,1,263,0,0.346075," ","integrate(f^(c*x^2+a)*sinh(f*x^2+e*x+d)^3,x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 3 \, f} x - \frac{3 \, e}{2 \, \sqrt{-c \log\left(f\right) - 3 \, f}}\right) e^{\left(3 \, d - \frac{9 \, e^{2}}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) - 3 \, f}} - \frac{3 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - f} x - \frac{e}{2 \, \sqrt{-c \log\left(f\right) - f}}\right) e^{\left(d - \frac{e^{2}}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) - f}} + \frac{3 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + f} x + \frac{e}{2 \, \sqrt{-c \log\left(f\right) + f}}\right) e^{\left(-d - \frac{e^{2}}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) + f}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 3 \, f} x + \frac{3 \, e}{2 \, \sqrt{-c \log\left(f\right) + 3 \, f}}\right) e^{\left(-3 \, d - \frac{9 \, e^{2}}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) + 3 \, f}}"," ",0,"1/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - 3*f)*x - 3/2*e/sqrt(-c*log(f) - 3*f))*e^(3*d - 9/4*e^2/(c*log(f) + 3*f))/sqrt(-c*log(f) - 3*f) - 3/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - f)*x - 1/2*e/sqrt(-c*log(f) - f))*e^(d - 1/4*e^2/(c*log(f) + f))/sqrt(-c*log(f) - f) + 3/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + f)*x + 1/2*e/sqrt(-c*log(f) + f))*e^(-d - 1/4*e^2/(c*log(f) - f))/sqrt(-c*log(f) + f) - 1/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + 3*f)*x + 3/2*e/sqrt(-c*log(f) + 3*f))*e^(-3*d - 9/4*e^2/(c*log(f) - 3*f))/sqrt(-c*log(f) + 3*f)","A",0
357,1,129,0,0.337570," ","integrate(f^(c*x^2+b*x+a)*sinh(e*x+d),x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right) + e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(d - \frac{{\left(b \log\left(f\right) + e\right)}^{2}}{4 \, c \log\left(f\right)}\right)}}{4 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right) - e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(-d - \frac{{\left(b \log\left(f\right) - e\right)}^{2}}{4 \, c \log\left(f\right)}\right)}}{4 \, \sqrt{-c \log\left(f\right)}}"," ",0,"1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - 1/2*(b*log(f) + e)/sqrt(-c*log(f)))*e^(d - 1/4*(b*log(f) + e)^2/(c*log(f)))/sqrt(-c*log(f)) - 1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - 1/2*(b*log(f) - e)/sqrt(-c*log(f)))*e^(-d - 1/4*(b*log(f) - e)^2/(c*log(f)))/sqrt(-c*log(f))","A",0
358,1,185,0,0.336623," ","integrate(f^(c*x^2+b*x+a)*sinh(e*x+d)^2,x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right) + 2 \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(2 \, d - \frac{{\left(b \log\left(f\right) + 2 \, e\right)}^{2}}{4 \, c \log\left(f\right)}\right)}}{8 \, \sqrt{-c \log\left(f\right)}} + \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right) - 2 \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(-2 \, d - \frac{{\left(b \log\left(f\right) - 2 \, e\right)}^{2}}{4 \, c \log\left(f\right)}\right)}}{8 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)}{4 \, \sqrt{-c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}}"," ",0,"1/8*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - 1/2*(b*log(f) + 2*e)/sqrt(-c*log(f)))*e^(2*d - 1/4*(b*log(f) + 2*e)^2/(c*log(f)))/sqrt(-c*log(f)) + 1/8*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - 1/2*(b*log(f) - 2*e)/sqrt(-c*log(f)))*e^(-2*d - 1/4*(b*log(f) - 2*e)^2/(c*log(f)))/sqrt(-c*log(f)) - 1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - 1/2*b*log(f)/sqrt(-c*log(f)))/(sqrt(-c*log(f))*f^(1/4*b^2/c))","A",0
359,1,263,0,0.373302," ","integrate(f^(c*x^2+b*x+a)*sinh(e*x+d)^3,x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right) + 3 \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(3 \, d - \frac{{\left(b \log\left(f\right) + 3 \, e\right)}^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} - \frac{3 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right) + e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(d - \frac{{\left(b \log\left(f\right) + e\right)}^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} + \frac{3 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right) - e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(-d - \frac{{\left(b \log\left(f\right) - e\right)}^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right) - 3 \, e}{2 \, \sqrt{-c \log\left(f\right)}}\right) e^{\left(-3 \, d - \frac{{\left(b \log\left(f\right) - 3 \, e\right)}^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}}"," ",0,"1/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - 1/2*(b*log(f) + 3*e)/sqrt(-c*log(f)))*e^(3*d - 1/4*(b*log(f) + 3*e)^2/(c*log(f)))/sqrt(-c*log(f)) - 3/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - 1/2*(b*log(f) + e)/sqrt(-c*log(f)))*e^(d - 1/4*(b*log(f) + e)^2/(c*log(f)))/sqrt(-c*log(f)) + 3/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - 1/2*(b*log(f) - e)/sqrt(-c*log(f)))*e^(-d - 1/4*(b*log(f) - e)^2/(c*log(f)))/sqrt(-c*log(f)) - 1/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - 1/2*(b*log(f) - 3*e)/sqrt(-c*log(f)))*e^(-3*d - 1/4*(b*log(f) - 3*e)^2/(c*log(f)))/sqrt(-c*log(f))","A",0
360,1,139,0,0.326543," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+d),x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - f} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - f}}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2}}{4 \, {\left(c \log\left(f\right) + f\right)}} + d\right)}}{4 \, \sqrt{-c \log\left(f\right) - f}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + f} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + f}}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2}}{4 \, {\left(c \log\left(f\right) - f\right)}} - d\right)}}{4 \, \sqrt{-c \log\left(f\right) + f}}"," ",0,"1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - f)*x - 1/2*b*log(f)/sqrt(-c*log(f) - f))*e^(-1/4*b^2*log(f)^2/(c*log(f) + f) + d)/sqrt(-c*log(f) - f) - 1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + f)*x - 1/2*b*log(f)/sqrt(-c*log(f) + f))*e^(-1/4*b^2*log(f)^2/(c*log(f) - f) - d)/sqrt(-c*log(f) + f)","A",0
361,1,199,0,0.330271," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+d)^2,x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 2 \, f} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - 2 \, f}}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2}}{4 \, {\left(c \log\left(f\right) + 2 \, f\right)}} + 2 \, d\right)}}{8 \, \sqrt{-c \log\left(f\right) - 2 \, f}} + \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 2 \, f} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + 2 \, f}}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2}}{4 \, {\left(c \log\left(f\right) - 2 \, f\right)}} - 2 \, d\right)}}{8 \, \sqrt{-c \log\left(f\right) + 2 \, f}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)}{4 \, \sqrt{-c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}}"," ",0,"1/8*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - 2*f)*x - 1/2*b*log(f)/sqrt(-c*log(f) - 2*f))*e^(-1/4*b^2*log(f)^2/(c*log(f) + 2*f) + 2*d)/sqrt(-c*log(f) - 2*f) + 1/8*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + 2*f)*x - 1/2*b*log(f)/sqrt(-c*log(f) + 2*f))*e^(-1/4*b^2*log(f)^2/(c*log(f) - 2*f) - 2*d)/sqrt(-c*log(f) + 2*f) - 1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - 1/2*b*log(f)/sqrt(-c*log(f)))/(sqrt(-c*log(f))*f^(1/4*b^2/c))","A",0
362,1,287,0,0.343872," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+d)^3,x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 3 \, f} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - 3 \, f}}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2}}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}} + 3 \, d\right)}}{16 \, \sqrt{-c \log\left(f\right) - 3 \, f}} - \frac{3 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - f} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) - f}}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2}}{4 \, {\left(c \log\left(f\right) + f\right)}} + d\right)}}{16 \, \sqrt{-c \log\left(f\right) - f}} + \frac{3 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + f} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + f}}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2}}{4 \, {\left(c \log\left(f\right) - f\right)}} - d\right)}}{16 \, \sqrt{-c \log\left(f\right) + f}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 3 \, f} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right) + 3 \, f}}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2}}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}} - 3 \, d\right)}}{16 \, \sqrt{-c \log\left(f\right) + 3 \, f}}"," ",0,"1/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - 3*f)*x - 1/2*b*log(f)/sqrt(-c*log(f) - 3*f))*e^(-1/4*b^2*log(f)^2/(c*log(f) + 3*f) + 3*d)/sqrt(-c*log(f) - 3*f) - 3/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - f)*x - 1/2*b*log(f)/sqrt(-c*log(f) - f))*e^(-1/4*b^2*log(f)^2/(c*log(f) + f) + d)/sqrt(-c*log(f) - f) + 3/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + f)*x - 1/2*b*log(f)/sqrt(-c*log(f) + f))*e^(-1/4*b^2*log(f)^2/(c*log(f) - f) - d)/sqrt(-c*log(f) + f) - 1/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + 3*f)*x - 1/2*b*log(f)/sqrt(-c*log(f) + 3*f))*e^(-1/4*b^2*log(f)^2/(c*log(f) - 3*f) - 3*d)/sqrt(-c*log(f) + 3*f)","A",0
363,1,151,0,0.364235," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+e*x+d),x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - f} x - \frac{b \log\left(f\right) + e}{2 \, \sqrt{-c \log\left(f\right) - f}}\right) e^{\left(-\frac{{\left(b \log\left(f\right) + e\right)}^{2}}{4 \, {\left(c \log\left(f\right) + f\right)}} + d\right)}}{4 \, \sqrt{-c \log\left(f\right) - f}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + f} x - \frac{b \log\left(f\right) - e}{2 \, \sqrt{-c \log\left(f\right) + f}}\right) e^{\left(-\frac{{\left(b \log\left(f\right) - e\right)}^{2}}{4 \, {\left(c \log\left(f\right) - f\right)}} - d\right)}}{4 \, \sqrt{-c \log\left(f\right) + f}}"," ",0,"1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - f)*x - 1/2*(b*log(f) + e)/sqrt(-c*log(f) - f))*e^(-1/4*(b*log(f) + e)^2/(c*log(f) + f) + d)/sqrt(-c*log(f) - f) - 1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + f)*x - 1/2*(b*log(f) - e)/sqrt(-c*log(f) + f))*e^(-1/4*(b*log(f) - e)^2/(c*log(f) - f) - d)/sqrt(-c*log(f) + f)","A",0
364,1,215,0,0.359994," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+e*x+d)^2,x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 2 \, f} x - \frac{b \log\left(f\right) + 2 \, e}{2 \, \sqrt{-c \log\left(f\right) - 2 \, f}}\right) e^{\left(-\frac{{\left(b \log\left(f\right) + 2 \, e\right)}^{2}}{4 \, {\left(c \log\left(f\right) + 2 \, f\right)}} + 2 \, d\right)}}{8 \, \sqrt{-c \log\left(f\right) - 2 \, f}} + \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 2 \, f} x - \frac{b \log\left(f\right) - 2 \, e}{2 \, \sqrt{-c \log\left(f\right) + 2 \, f}}\right) e^{\left(-\frac{{\left(b \log\left(f\right) - 2 \, e\right)}^{2}}{4 \, {\left(c \log\left(f\right) - 2 \, f\right)}} - 2 \, d\right)}}{8 \, \sqrt{-c \log\left(f\right) + 2 \, f}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)}{4 \, \sqrt{-c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}}"," ",0,"1/8*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - 2*f)*x - 1/2*(b*log(f) + 2*e)/sqrt(-c*log(f) - 2*f))*e^(-1/4*(b*log(f) + 2*e)^2/(c*log(f) + 2*f) + 2*d)/sqrt(-c*log(f) - 2*f) + 1/8*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + 2*f)*x - 1/2*(b*log(f) - 2*e)/sqrt(-c*log(f) + 2*f))*e^(-1/4*(b*log(f) - 2*e)^2/(c*log(f) - 2*f) - 2*d)/sqrt(-c*log(f) + 2*f) - 1/4*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - 1/2*b*log(f)/sqrt(-c*log(f)))/(sqrt(-c*log(f))*f^(1/4*b^2/c))","A",0
365,1,315,0,0.408341," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+e*x+d)^3,x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - 3 \, f} x - \frac{b \log\left(f\right) + 3 \, e}{2 \, \sqrt{-c \log\left(f\right) - 3 \, f}}\right) e^{\left(-\frac{{\left(b \log\left(f\right) + 3 \, e\right)}^{2}}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}} + 3 \, d\right)}}{16 \, \sqrt{-c \log\left(f\right) - 3 \, f}} - \frac{3 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - f} x - \frac{b \log\left(f\right) + e}{2 \, \sqrt{-c \log\left(f\right) - f}}\right) e^{\left(-\frac{{\left(b \log\left(f\right) + e\right)}^{2}}{4 \, {\left(c \log\left(f\right) + f\right)}} + d\right)}}{16 \, \sqrt{-c \log\left(f\right) - f}} + \frac{3 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + f} x - \frac{b \log\left(f\right) - e}{2 \, \sqrt{-c \log\left(f\right) + f}}\right) e^{\left(-\frac{{\left(b \log\left(f\right) - e\right)}^{2}}{4 \, {\left(c \log\left(f\right) - f\right)}} - d\right)}}{16 \, \sqrt{-c \log\left(f\right) + f}} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) + 3 \, f} x - \frac{b \log\left(f\right) - 3 \, e}{2 \, \sqrt{-c \log\left(f\right) + 3 \, f}}\right) e^{\left(-\frac{{\left(b \log\left(f\right) - 3 \, e\right)}^{2}}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}} - 3 \, d\right)}}{16 \, \sqrt{-c \log\left(f\right) + 3 \, f}}"," ",0,"1/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - 3*f)*x - 1/2*(b*log(f) + 3*e)/sqrt(-c*log(f) - 3*f))*e^(-1/4*(b*log(f) + 3*e)^2/(c*log(f) + 3*f) + 3*d)/sqrt(-c*log(f) - 3*f) - 3/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) - f)*x - 1/2*(b*log(f) + e)/sqrt(-c*log(f) - f))*e^(-1/4*(b*log(f) + e)^2/(c*log(f) + f) + d)/sqrt(-c*log(f) - f) + 3/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + f)*x - 1/2*(b*log(f) - e)/sqrt(-c*log(f) + f))*e^(-1/4*(b*log(f) - e)^2/(c*log(f) - f) - d)/sqrt(-c*log(f) + f) - 1/16*sqrt(pi)*f^a*erf(sqrt(-c*log(f) + 3*f)*x - 1/2*(b*log(f) - 3*e)/sqrt(-c*log(f) + 3*f))*e^(-1/4*(b*log(f) - 3*e)^2/(c*log(f) - 3*f) - 3*d)/sqrt(-c*log(f) + 3*f)","A",0
366,1,35,0,0.324781," ","integrate((x+sinh(x))^2,x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + {\left(x + 1\right)} e^{\left(-x\right)} + {\left(x - 1\right)} e^{x} - \frac{1}{2} \, x + \frac{1}{8} \, e^{\left(2 \, x\right)} - \frac{1}{8} \, e^{\left(-2 \, x\right)}"," ",0,"1/3*x^3 + (x + 1)*e^(-x) + (x - 1)*e^x - 1/2*x + 1/8*e^(2*x) - 1/8*e^(-2*x)","A",0
367,1,81,0,0.347501," ","integrate((x+sinh(x))^3,x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} - \frac{3}{4} \, x^{2} + \frac{3}{16} \, {\left(2 \, x - 1\right)} e^{\left(2 \, x\right)} + \frac{3}{2} \, {\left(x^{2} + 2 \, x + 2\right)} e^{\left(-x\right)} - \frac{3}{16} \, {\left(2 \, x + 1\right)} e^{\left(-2 \, x\right)} + \frac{3}{2} \, {\left(x^{2} - 2 \, x + 2\right)} e^{x} + \frac{1}{24} \, e^{\left(3 \, x\right)} - \frac{3}{8} \, e^{\left(-x\right)} + \frac{1}{24} \, e^{\left(-3 \, x\right)} - \frac{3}{8} \, e^{x}"," ",0,"1/4*x^4 - 3/4*x^2 + 3/16*(2*x - 1)*e^(2*x) + 3/2*(x^2 + 2*x + 2)*e^(-x) - 3/16*(2*x + 1)*e^(-2*x) + 3/2*(x^2 - 2*x + 2)*e^x + 1/24*e^(3*x) - 3/8*e^(-x) + 1/24*e^(-3*x) - 3/8*e^x","A",0
368,0,0,0,0.000000," ","integrate(sinh(b*x+a)/(d*x^2+c),x, algorithm=""maxima"")","\int \frac{\sinh\left(b x + a\right)}{d x^{2} + c}\,{d x}"," ",0,"integrate(sinh(b*x + a)/(d*x^2 + c), x)","F",0
369,-2,0,0,0.000000," ","integrate(sinh(b*x+a)/(e*x^2+d*x+c),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*c*e-d^2>0)', see `assume?` for more details)Is 4*c*e-d^2 positive or negative?","F(-2)",0
