1,1,26,0,0.111845," ","integrate(sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(b x + a\right)}}{2 \, b} + \frac{e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"1/2*e^(b*x + a)/b + 1/2*e^(-b*x - a)/b","B",0
2,1,32,0,0.132335," ","integrate(sinh(b*x+a)^2,x, algorithm=""giac"")","-\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
3,1,54,0,0.121794," ","integrate(sinh(b*x+a)^3,x, algorithm=""giac"")","\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
4,1,60,0,0.125688," ","integrate(sinh(b*x+a)^4,x, algorithm=""giac"")","\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
5,1,82,0,0.140133," ","integrate(sinh(b*x+a)^5,x, algorithm=""giac"")","\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
6,1,88,0,0.123734," ","integrate(sinh(b*x+a)^6,x, algorithm=""giac"")","-\frac{5}{16} \, x + \frac{e^{\left(6 \, b x + 6 \, a\right)}}{384 \, b} - \frac{3 \, e^{\left(4 \, b x + 4 \, a\right)}}{128 \, b} + \frac{15 \, e^{\left(2 \, b x + 2 \, a\right)}}{128 \, b} - \frac{15 \, e^{\left(-2 \, b x - 2 \, a\right)}}{128 \, b} + \frac{3 \, e^{\left(-4 \, b x - 4 \, a\right)}}{128 \, b} - \frac{e^{\left(-6 \, b x - 6 \, a\right)}}{384 \, b}"," ",0,"-5/16*x + 1/384*e^(6*b*x + 6*a)/b - 3/128*e^(4*b*x + 4*a)/b + 15/128*e^(2*b*x + 2*a)/b - 15/128*e^(-2*b*x - 2*a)/b + 3/128*e^(-4*b*x - 4*a)/b - 1/384*e^(-6*b*x - 6*a)/b","A",0
7,0,0,0,0.000000," ","integrate(sinh(b*x+a)^(7/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-1,0,0,0.000000," ","integrate((I*sinh(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
25,0,0,0,0.000000," ","integrate((I*sinh(d*x+c))^(3/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\int \left(-i \, \sinh\left(d x + c\right)\right)^{n}\,{d x}"," ",0,"integrate((-I*sinh(d*x + c))^n, x)","F",0
40,1,50,0,0.203445," ","integrate(sinh(x)^4/(I+sinh(x)),x, algorithm=""giac"")","\frac{3}{2} i \, x - \frac{{\left(69 \, e^{\left(3 \, x\right)} + 18 i \, e^{\left(2 \, x\right)} + 2 \, e^{x} - i\right)} e^{\left(-3 \, x\right)}}{24 \, {\left(e^{x} + i\right)}} + \frac{1}{24} \, e^{\left(3 \, x\right)} - \frac{1}{8} i \, e^{\left(2 \, x\right)} - \frac{7}{8} \, e^{x}"," ",0,"3/2*I*x - 1/24*(69*e^(3*x) + 18*I*e^(2*x) + 2*e^x - I)*e^(-3*x)/(e^x + I) + 1/24*e^(3*x) - 1/8*I*e^(2*x) - 7/8*e^x","A",0
41,1,38,0,0.251644," ","integrate(sinh(x)^3/(I+sinh(x)),x, algorithm=""giac"")","-\frac{3}{2} \, x - \frac{{\left(20 i \, e^{\left(2 \, x\right)} - 3 \, e^{x} + i\right)} e^{\left(-2 \, x\right)}}{8 \, {\left(e^{x} + i\right)}} + \frac{1}{8} \, e^{\left(2 \, x\right)} - \frac{1}{2} i \, e^{x}"," ",0,"-3/2*x - 1/8*(20*I*e^(2*x) - 3*e^x + I)*e^(-2*x)/(e^x + I) + 1/8*e^(2*x) - 1/2*I*e^x","A",0
42,1,26,0,0.186877," ","integrate(sinh(x)^2/(I+sinh(x)),x, algorithm=""giac"")","-i \, x + \frac{{\left(5 \, e^{x} + i\right)} e^{\left(-x\right)}}{2 \, {\left(e^{x} + i\right)}} + \frac{1}{2} \, e^{x}"," ",0,"-I*x + 1/2*(5*e^x + I)*e^(-x)/(e^x + I) + 1/2*e^x","A",0
43,1,10,0,0.192719," ","integrate(sinh(x)/(I+sinh(x)),x, algorithm=""giac"")","x + \frac{2 i}{e^{x} + i}"," ",0,"x + 2*I/(e^x + I)","A",0
44,1,24,0,0.214201," ","integrate(csch(x)/(I+sinh(x)),x, algorithm=""giac"")","-\frac{2 i}{e^{x} + i} + i \, \log\left(e^{x} + 1\right) - i \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-2*I/(e^x + I) + I*log(e^x + 1) - I*log(abs(e^x - 1))","A",0
45,1,44,0,0.306266," ","integrate(csch(x)^2/(I+sinh(x)),x, algorithm=""giac"")","\frac{2 \, {\left(e^{\left(2 \, x\right)} + i \, e^{x} - 2\right)}}{e^{\left(3 \, x\right)} + i \, e^{\left(2 \, x\right)} - e^{x} - i} - \log\left(e^{x} + 1\right) + \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"2*(e^(2*x) + I*e^x - 2)/(e^(3*x) + I*e^(2*x) - e^x - I) - log(e^x + 1) + log(abs(e^x - 1))","B",0
46,1,51,0,0.190114," ","integrate(csch(x)^3/(I+sinh(x)),x, algorithm=""giac"")","\frac{i \, e^{\left(3 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + i \, e^{x} + 2}{{\left(e^{\left(2 \, x\right)} - 1\right)}^{2}} + \frac{2 i}{e^{x} + i} - \frac{3}{2} i \, \log\left(e^{x} + 1\right) + \frac{3}{2} i \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"(I*e^(3*x) - 2*e^(2*x) + I*e^x + 2)/(e^(2*x) - 1)^2 + 2*I/(e^x + I) - 3/2*I*log(e^x + 1) + 3/2*I*log(abs(e^x - 1))","A",0
47,1,58,0,0.439419," ","integrate(csch(x)^4/(I+sinh(x)),x, algorithm=""giac"")","-\frac{2}{e^{x} + i} - \frac{3 \, e^{\left(5 \, x\right)} + 6 i \, e^{\left(4 \, x\right)} - 24 i \, e^{\left(2 \, x\right)} - 3 \, e^{x} + 10 i}{3 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}} + \frac{3}{2} \, \log\left(e^{x} + 1\right) - \frac{3}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-2/(e^x + I) - 1/3*(3*e^(5*x) + 6*I*e^(4*x) - 24*I*e^(2*x) - 3*e^x + 10*I)/(e^(2*x) - 1)^3 + 3/2*log(e^x + 1) - 3/2*log(abs(e^x - 1))","A",0
48,1,50,0,0.164514," ","integrate(sinh(x)^4/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{7}{2} \, x - \frac{{\left(216 i \, e^{\left(4 \, x\right)} - 405 \, e^{\left(3 \, x\right)} - 239 i \, e^{\left(2 \, x\right)} + 15 \, e^{x} - 3 i\right)} e^{\left(-2 \, x\right)}}{24 \, {\left(e^{x} + i\right)}^{3}} + \frac{1}{8} \, e^{\left(2 \, x\right)} - i \, e^{x}"," ",0,"-7/2*x - 1/24*(216*I*e^(4*x) - 405*e^(3*x) - 239*I*e^(2*x) + 15*e^x - 3*I)*e^(-2*x)/(e^x + I)^3 + 1/8*e^(2*x) - I*e^x","A",0
49,1,38,0,0.180682," ","integrate(sinh(x)^3/(I+sinh(x))^2,x, algorithm=""giac"")","-2 i \, x + \frac{{\left(39 \, e^{\left(3 \, x\right)} + 69 i \, e^{\left(2 \, x\right)} - 41 \, e^{x} - 3 i\right)} e^{\left(-x\right)}}{6 \, {\left(e^{x} + i\right)}^{3}} + \frac{1}{2} \, e^{x}"," ",0,"-2*I*x + 1/6*(39*e^(3*x) + 69*I*e^(2*x) - 41*e^x - 3*I)*e^(-x)/(e^x + I)^3 + 1/2*e^x","A",0
50,1,22,0,0.164006," ","integrate(sinh(x)^2/(I+sinh(x))^2,x, algorithm=""giac"")","x - \frac{-12 i \, e^{\left(2 \, x\right)} + 18 \, e^{x} + 10 i}{3 \, {\left(e^{x} + i\right)}^{3}}"," ",0,"x - 1/3*(-12*I*e^(2*x) + 18*e^x + 10*I)/(e^x + I)^3","A",0
51,1,20,0,0.198344," ","integrate(sinh(x)/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{6 \, e^{\left(2 \, x\right)} + 6 i \, e^{x} - 4}{3 \, {\left(e^{x} + i\right)}^{3}}"," ",0,"-1/3*(6*e^(2*x) + 6*I*e^x - 4)/(e^x + I)^3","A",0
52,1,34,0,0.394976," ","integrate(csch(x)/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, e^{\left(2 \, x\right)} + 9 i \, e^{x} - 4\right)}}{3 \, {\left(e^{x} + i\right)}^{3}} + \log\left(e^{x} + 1\right) - \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-2/3*(3*e^(2*x) + 9*I*e^x - 4)/(e^x + I)^3 + log(e^x + 1) - log(abs(e^x - 1))","A",0
53,1,46,0,0.206264," ","integrate(csch(x)^2/(I+sinh(x))^2,x, algorithm=""giac"")","\frac{2}{e^{\left(2 \, x\right)} - 1} - \frac{2 \, {\left(6 i \, e^{\left(2 \, x\right)} - 15 \, e^{x} - 7 i\right)}}{3 \, {\left(e^{x} + i\right)}^{3}} + 2 i \, \log\left(e^{x} + 1\right) - 2 i \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"2/(e^(2*x) - 1) - 2/3*(6*I*e^(2*x) - 15*e^x - 7*I)/(e^x + I)^3 + 2*I*log(e^x + 1) - 2*I*log(abs(e^x - 1))","A",0
54,1,59,0,0.182699," ","integrate(csch(x)^3/(I+sinh(x))^2,x, algorithm=""giac"")","\frac{e^{\left(3 \, x\right)} + 4 i \, e^{\left(2 \, x\right)} + e^{x} - 4 i}{{\left(e^{\left(2 \, x\right)} - 1\right)}^{2}} + \frac{2 \, {\left(9 \, e^{\left(2 \, x\right)} + 21 i \, e^{x} - 10\right)}}{3 \, {\left(e^{x} + i\right)}^{3}} - \frac{7}{2} \, \log\left(e^{x} + 1\right) + \frac{7}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"(e^(3*x) + 4*I*e^(2*x) + e^x - 4*I)/(e^(2*x) - 1)^2 + 2/3*(9*e^(2*x) + 21*I*e^x - 10)/(e^x + I)^3 - 7/2*log(e^x + 1) + 7/2*log(abs(e^x - 1))","A",0
55,1,84,0,0.175329," ","integrate(csch(x)^4/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(-15 i \, e^{\left(8 \, x\right)} + 45 \, e^{\left(7 \, x\right)} + 85 i \, e^{\left(6 \, x\right)} - 135 \, e^{\left(5 \, x\right)} - 153 i \, e^{\left(4 \, x\right)} + 155 \, e^{\left(3 \, x\right)} + 99 i \, e^{\left(2 \, x\right)} - 57 \, e^{x} - 24 i\right)}}{3 \, {\left(e^{\left(3 \, x\right)} + i \, e^{\left(2 \, x\right)} - e^{x} - i\right)}^{3}} - 5 i \, \log\left(e^{x} + 1\right) + 5 i \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-2/3*(-15*I*e^(8*x) + 45*e^(7*x) + 85*I*e^(6*x) - 135*e^(5*x) - 153*I*e^(4*x) + 155*e^(3*x) + 99*I*e^(2*x) - 57*e^x - 24*I)/(e^(3*x) + I*e^(2*x) - e^x - I)^3 - 5*I*log(e^x + 1) + 5*I*log(abs(e^x - 1))","A",0
56,1,15,0,0.193667," ","integrate(1/(1+I*sinh(d*x+c)),x, algorithm=""giac"")","\frac{2 i}{d {\left(e^{\left(d x + c\right)} - i\right)}}"," ",0,"2*I/(d*(e^(d*x + c) - I))","A",0
57,1,25,0,0.343529," ","integrate(1/(1+I*sinh(d*x+c))^2,x, algorithm=""giac"")","\frac{6 \, e^{\left(d x + c\right)} - 2 i}{3 \, d {\left(e^{\left(d x + c\right)} - i\right)}^{3}}"," ",0,"1/3*(6*e^(d*x + c) - 2*I)/(d*(e^(d*x + c) - I)^3)","A",0
58,1,36,0,0.233582," ","integrate(1/(1+I*sinh(d*x+c))^3,x, algorithm=""giac"")","-\frac{i \, {\left(40 \, e^{\left(2 \, d x + 2 \, c\right)} - 20 i \, e^{\left(d x + c\right)} - 4\right)}}{15 \, d {\left(e^{\left(d x + c\right)} - i\right)}^{5}}"," ",0,"-1/15*I*(40*e^(2*d*x + 2*c) - 20*I*e^(d*x + c) - 4)/(d*(e^(d*x + c) - I)^5)","A",0
59,1,47,0,0.183039," ","integrate(1/(1+I*sinh(d*x+c))^4,x, algorithm=""giac"")","-\frac{140 \, e^{\left(3 \, d x + 3 \, c\right)} - 84 i \, e^{\left(2 \, d x + 2 \, c\right)} - 28 \, e^{\left(d x + c\right)} + 4 i}{35 \, d {\left(e^{\left(d x + c\right)} - i\right)}^{7}}"," ",0,"-1/35*(140*e^(3*d*x + 3*c) - 84*I*e^(2*d*x + 2*c) - 28*e^(d*x + c) + 4*I)/(d*(e^(d*x + c) - I)^7)","A",0
60,1,15,0,0.157203," ","integrate(1/(1-I*sinh(d*x+c)),x, algorithm=""giac"")","-\frac{2 i}{d {\left(e^{\left(d x + c\right)} + i\right)}}"," ",0,"-2*I/(d*(e^(d*x + c) + I))","A",0
61,1,25,0,0.235247," ","integrate(1/(1-I*sinh(d*x+c))^2,x, algorithm=""giac"")","\frac{6 \, e^{\left(d x + c\right)} + 2 i}{3 \, d {\left(e^{\left(d x + c\right)} + i\right)}^{3}}"," ",0,"1/3*(6*e^(d*x + c) + 2*I)/(d*(e^(d*x + c) + I)^3)","A",0
62,1,36,0,0.176983," ","integrate(1/(1-I*sinh(d*x+c))^3,x, algorithm=""giac"")","\frac{i \, {\left(40 \, e^{\left(2 \, d x + 2 \, c\right)} + 20 i \, e^{\left(d x + c\right)} - 4\right)}}{15 \, d {\left(e^{\left(d x + c\right)} + i\right)}^{5}}"," ",0,"1/15*I*(40*e^(2*d*x + 2*c) + 20*I*e^(d*x + c) - 4)/(d*(e^(d*x + c) + I)^5)","A",0
63,1,47,0,0.183180," ","integrate(1/(1-I*sinh(d*x+c))^4,x, algorithm=""giac"")","-\frac{140 \, e^{\left(3 \, d x + 3 \, c\right)} + 84 i \, e^{\left(2 \, d x + 2 \, c\right)} - 28 \, e^{\left(d x + c\right)} - 4 i}{35 \, d {\left(e^{\left(d x + c\right)} + i\right)}^{7}}"," ",0,"-1/35*(140*e^(3*d*x + 3*c) + 84*I*e^(2*d*x + 2*c) - 28*e^(d*x + c) - 4*I)/(d*(e^(d*x + c) + I)^7)","A",0
64,0,0,0,0.000000," ","integrate(sinh(x)/(a+I*a*sinh(x))^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
72,1,156,0,0.188798," ","integrate(sinh(x)^4/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{a^{4} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} b^{4}} + \frac{b^{2} e^{\left(3 \, x\right)} - 3 \, a b e^{\left(2 \, x\right)} + 12 \, a^{2} e^{x} - 9 \, b^{2} e^{x}}{24 \, b^{3}} - \frac{{\left(2 \, a^{3} - a b^{2}\right)} x}{2 \, b^{4}} + \frac{{\left(3 \, a b^{2} e^{x} + b^{3} + 3 \, {\left(4 \, a^{2} b - 3 \, b^{3}\right)} e^{\left(2 \, x\right)}\right)} e^{\left(-3 \, x\right)}}{24 \, b^{4}}"," ",0,"a^4*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^4) + 1/24*(b^2*e^(3*x) - 3*a*b*e^(2*x) + 12*a^2*e^x - 9*b^2*e^x)/b^3 - 1/2*(2*a^3 - a*b^2)*x/b^4 + 1/24*(3*a*b^2*e^x + b^3 + 3*(4*a^2*b - 3*b^3)*e^(2*x))*e^(-3*x)/b^4","A",0
73,1,117,0,0.211147," ","integrate(sinh(x)^3/(a+b*sinh(x)),x, algorithm=""giac"")","-\frac{a^{3} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} b^{3}} + \frac{b e^{\left(2 \, x\right)} - 4 \, a e^{x}}{8 \, b^{2}} + \frac{{\left(2 \, a^{2} - b^{2}\right)} x}{2 \, b^{3}} - \frac{{\left(4 \, a b e^{x} + b^{2}\right)} e^{\left(-2 \, x\right)}}{8 \, b^{3}}"," ",0,"-a^3*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^3) + 1/8*(b*e^(2*x) - 4*a*e^x)/b^2 + 1/2*(2*a^2 - b^2)*x/b^3 - 1/8*(4*a*b*e^x + b^2)*e^(-2*x)/b^3","A",0
74,1,86,0,0.190941," ","integrate(sinh(x)^2/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{a^{2} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} b^{2}} - \frac{a x}{b^{2}} + \frac{e^{\left(-x\right)}}{2 \, b} + \frac{e^{x}}{2 \, b}"," ",0,"a^2*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^2) - a*x/b^2 + 1/2*e^(-x)/b + 1/2*e^x/b","A",0
75,1,67,0,0.248626," ","integrate(sinh(x)/(a+b*sinh(x)),x, algorithm=""giac"")","-\frac{a \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} b} + \frac{x}{b}"," ",0,"-a*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b) + x/b","A",0
76,1,82,0,0.234062," ","integrate(csch(x)/(a+b*sinh(x)),x, algorithm=""giac"")","-\frac{b \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} a} - \frac{\log\left(e^{x} + 1\right)}{a} + \frac{\log\left({\left| e^{x} - 1 \right|}\right)}{a}"," ",0,"-b*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a) - log(e^x + 1)/a + log(abs(e^x - 1))/a","A",0
77,1,98,0,0.345062," ","integrate(csch(x)^2/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{b^{2} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} a^{2}} + \frac{b \log\left(e^{x} + 1\right)}{a^{2}} - \frac{b \log\left({\left| e^{x} - 1 \right|}\right)}{a^{2}} - \frac{2}{a {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"b^2*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^2) + b*log(e^x + 1)/a^2 - b*log(abs(e^x - 1))/a^2 - 2/(a*(e^(2*x) - 1))","A",0
78,1,137,0,0.210768," ","integrate(csch(x)^3/(a+b*sinh(x)),x, algorithm=""giac"")","-\frac{b^{3} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} a^{3}} + \frac{{\left(a^{2} - 2 \, b^{2}\right)} \log\left(e^{x} + 1\right)}{2 \, a^{3}} - \frac{{\left(a^{2} - 2 \, b^{2}\right)} \log\left({\left| e^{x} - 1 \right|}\right)}{2 \, a^{3}} - \frac{a e^{\left(3 \, x\right)} - 2 \, b e^{\left(2 \, x\right)} + a e^{x} + 2 \, b}{a^{2} {\left(e^{\left(2 \, x\right)} - 1\right)}^{2}}"," ",0,"-b^3*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3) + 1/2*(a^2 - 2*b^2)*log(e^x + 1)/a^3 - 1/2*(a^2 - 2*b^2)*log(abs(e^x - 1))/a^3 - (a*e^(3*x) - 2*b*e^(2*x) + a*e^x + 2*b)/(a^2*(e^(2*x) - 1)^2)","A",0
79,1,171,0,0.176323," ","integrate(csch(x)^4/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{b^{4} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} a^{4}} - \frac{{\left(a^{2} b - 2 \, b^{3}\right)} \log\left(e^{x} + 1\right)}{2 \, a^{4}} + \frac{{\left(a^{2} b - 2 \, b^{3}\right)} \log\left({\left| e^{x} - 1 \right|}\right)}{2 \, a^{4}} + \frac{3 \, a b e^{\left(5 \, x\right)} - 6 \, b^{2} e^{\left(4 \, x\right)} - 12 \, a^{2} e^{\left(2 \, x\right)} + 12 \, b^{2} e^{\left(2 \, x\right)} - 3 \, a b e^{x} + 4 \, a^{2} - 6 \, b^{2}}{3 \, a^{3} {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"b^4*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^4) - 1/2*(a^2*b - 2*b^3)*log(e^x + 1)/a^4 + 1/2*(a^2*b - 2*b^3)*log(abs(e^x - 1))/a^4 + 1/3*(3*a*b*e^(5*x) - 6*b^2*e^(4*x) - 12*a^2*e^(2*x) + 12*b^2*e^(2*x) - 3*a*b*e^x + 4*a^2 - 6*b^2)/(a^3*(e^(2*x) - 1)^3)","A",0
80,1,235,0,0.178449," ","integrate(sinh(x)^4/(a+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{{\left(3 \, a^{5} + 4 \, a^{3} b^{2}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{2} b^{4} + b^{6}\right)} \sqrt{a^{2} + b^{2}}} + \frac{{\left(6 \, a^{2} - b^{2}\right)} x}{2 \, b^{4}} + \frac{b^{2} e^{\left(2 \, x\right)} - 8 \, a b e^{x}}{8 \, b^{4}} + \frac{{\left(a^{2} b^{3} + b^{5} + 8 \, {\left(2 \, a^{5} - a^{3} b^{2} - a b^{4}\right)} e^{\left(3 \, x\right)} - {\left(32 \, a^{4} b + 17 \, a^{2} b^{3} + b^{5}\right)} e^{\left(2 \, x\right)} + 6 \, {\left(a^{3} b^{2} + a b^{4}\right)} e^{x}\right)} e^{\left(-2 \, x\right)}}{8 \, {\left(a^{2} + b^{2}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)} b^{4}}"," ",0,"-(3*a^5 + 4*a^3*b^2)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^2*b^4 + b^6)*sqrt(a^2 + b^2)) + 1/2*(6*a^2 - b^2)*x/b^4 + 1/8*(b^2*e^(2*x) - 8*a*b*e^x)/b^4 + 1/8*(a^2*b^3 + b^5 + 8*(2*a^5 - a^3*b^2 - a*b^4)*e^(3*x) - (32*a^4*b + 17*a^2*b^3 + b^5)*e^(2*x) + 6*(a^3*b^2 + a*b^4)*e^x)*e^(-2*x)/((a^2 + b^2)*(b*e^(2*x) + 2*a*e^x - b)*b^4)","A",0
81,1,184,0,0.229789," ","integrate(sinh(x)^3/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{{\left(2 \, a^{4} + 3 \, a^{2} b^{2}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{2} b^{3} + b^{5}\right)} \sqrt{a^{2} + b^{2}}} - \frac{2 \, a x}{b^{3}} + \frac{e^{x}}{2 \, b^{2}} - \frac{{\left(a^{2} b^{2} + b^{4} + {\left(4 \, a^{4} - a^{2} b^{2} - b^{4}\right)} e^{\left(2 \, x\right)} - 2 \, {\left(3 \, a^{3} b + a b^{3}\right)} e^{x}\right)} e^{\left(-x\right)}}{2 \, {\left(a^{2} + b^{2}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)} b^{3}}"," ",0,"(2*a^4 + 3*a^2*b^2)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^2*b^3 + b^5)*sqrt(a^2 + b^2)) - 2*a*x/b^3 + 1/2*e^x/b^2 - 1/2*(a^2*b^2 + b^4 + (4*a^4 - a^2*b^2 - b^4)*e^(2*x) - 2*(3*a^3*b + a*b^3)*e^x)*e^(-x)/((a^2 + b^2)*(b*e^(2*x) + 2*a*e^x - b)*b^3)","A",0
82,1,131,0,0.389997," ","integrate(sinh(x)^2/(a+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{{\left(a^{3} + 2 \, a b^{2}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}}} + \frac{2 \, {\left(a^{3} e^{x} - a^{2} b\right)}}{{\left(a^{2} b^{2} + b^{4}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)}} + \frac{x}{b^{2}}"," ",0,"-(a^3 + 2*a*b^2)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^2*b^2 + b^4)*sqrt(a^2 + b^2)) + 2*(a^3*e^x - a^2*b)/((a^2*b^2 + b^4)*(b*e^(2*x) + 2*a*e^x - b)) + x/b^2","A",0
83,1,99,0,0.201014," ","integrate(sinh(x)/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{b \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}}} - \frac{2 \, {\left(a^{2} e^{x} - a b\right)}}{{\left(a^{2} b + b^{3}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)}}"," ",0,"b*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(a^2 + b^2)^(3/2) - 2*(a^2*e^x - a*b)/((a^2*b + b^3)*(b*e^(2*x) + 2*a*e^x - b))","A",0
84,1,142,0,0.189544," ","integrate(csch(x)/(a+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{{\left(2 \, a^{2} b + b^{3}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{4} + a^{2} b^{2}\right)} \sqrt{a^{2} + b^{2}}} - \frac{2 \, {\left(a b e^{x} - b^{2}\right)}}{{\left(a^{3} + a b^{2}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)}} - \frac{\log\left(e^{x} + 1\right)}{a^{2}} + \frac{\log\left({\left| e^{x} - 1 \right|}\right)}{a^{2}}"," ",0,"-(2*a^2*b + b^3)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^4 + a^2*b^2)*sqrt(a^2 + b^2)) - 2*(a*b*e^x - b^2)/((a^3 + a*b^2)*(b*e^(2*x) + 2*a*e^x - b)) - log(e^x + 1)/a^2 + log(abs(e^x - 1))/a^2","A",0
85,1,205,0,0.178849," ","integrate(csch(x)^2/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{{\left(3 \, a^{2} b^{2} + 2 \, b^{4}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\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 e^{\left(2 \, x\right)} - 2 \, b^{3} e^{\left(2 \, x\right)} - 2 \, a^{3} e^{x} - 3 \, a b^{2} e^{x} + a^{2} b + 2 \, b^{3}\right)}}{{\left(a^{4} + a^{2} b^{2}\right)} {\left(b e^{\left(4 \, x\right)} + 2 \, a e^{\left(3 \, x\right)} - 2 \, b e^{\left(2 \, x\right)} - 2 \, a e^{x} + b\right)}} + \frac{2 \, b \log\left(e^{x} + 1\right)}{a^{3}} - \frac{2 \, b \log\left({\left| e^{x} - 1 \right|}\right)}{a^{3}}"," ",0,"(3*a^2*b^2 + 2*b^4)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^5 + a^3*b^2)*sqrt(a^2 + b^2)) + 2*(a*b^2*e^(3*x) - a^2*b*e^(2*x) - 2*b^3*e^(2*x) - 2*a^3*e^x - 3*a*b^2*e^x + a^2*b + 2*b^3)/((a^4 + a^2*b^2)*(b*e^(4*x) + 2*a*e^(3*x) - 2*b*e^(2*x) - 2*a*e^x + b)) + 2*b*log(e^x + 1)/a^3 - 2*b*log(abs(e^x - 1))/a^3","A",0
86,1,203,0,0.165816," ","integrate(csch(x)^3/(a+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{{\left(4 \, a^{2} b^{3} + 3 \, b^{5}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{6} + a^{4} b^{2}\right)} \sqrt{a^{2} + b^{2}}} - \frac{2 \, {\left(a b^{3} e^{x} - b^{4}\right)}}{{\left(a^{5} + a^{3} b^{2}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)}} + \frac{{\left(a^{2} - 6 \, b^{2}\right)} \log\left(e^{x} + 1\right)}{2 \, a^{4}} - \frac{{\left(a^{2} - 6 \, b^{2}\right)} \log\left({\left| e^{x} - 1 \right|}\right)}{2 \, a^{4}} - \frac{a e^{\left(3 \, x\right)} - 4 \, b e^{\left(2 \, x\right)} + a e^{x} + 4 \, b}{a^{3} {\left(e^{\left(2 \, x\right)} - 1\right)}^{2}}"," ",0,"-(4*a^2*b^3 + 3*b^5)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^6 + a^4*b^2)*sqrt(a^2 + b^2)) - 2*(a*b^3*e^x - b^4)/((a^5 + a^3*b^2)*(b*e^(2*x) + 2*a*e^x - b)) + 1/2*(a^2 - 6*b^2)*log(e^x + 1)/a^4 - 1/2*(a^2 - 6*b^2)*log(abs(e^x - 1))/a^4 - (a*e^(3*x) - 4*b*e^(2*x) + a*e^x + 4*b)/(a^3*(e^(2*x) - 1)^2)","A",0
87,1,236,0,0.327521," ","integrate(csch(x)^4/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{{\left(5 \, a^{2} b^{4} + 4 \, b^{6}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{7} + a^{5} b^{2}\right)} \sqrt{a^{2} + b^{2}}} + \frac{2 \, {\left(a b^{4} e^{x} - b^{5}\right)}}{{\left(a^{6} + a^{4} b^{2}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)}} - \frac{{\left(a^{2} b - 4 \, b^{3}\right)} \log\left(e^{x} + 1\right)}{a^{5}} + \frac{{\left(a^{2} b - 4 \, b^{3}\right)} \log\left({\left| e^{x} - 1 \right|}\right)}{a^{5}} + \frac{2 \, {\left(3 \, a b e^{\left(5 \, x\right)} - 9 \, b^{2} e^{\left(4 \, x\right)} - 6 \, a^{2} e^{\left(2 \, x\right)} + 18 \, b^{2} e^{\left(2 \, x\right)} - 3 \, a b e^{x} + 2 \, a^{2} - 9 \, b^{2}\right)}}{3 \, a^{4} {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"(5*a^2*b^4 + 4*b^6)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^7 + a^5*b^2)*sqrt(a^2 + b^2)) + 2*(a*b^4*e^x - b^5)/((a^6 + a^4*b^2)*(b*e^(2*x) + 2*a*e^x - b)) - (a^2*b - 4*b^3)*log(e^x + 1)/a^5 + (a^2*b - 4*b^3)*log(abs(e^x - 1))/a^5 + 2/3*(3*a*b*e^(5*x) - 9*b^2*e^(4*x) - 6*a^2*e^(2*x) + 18*b^2*e^(2*x) - 3*a*b*e^x + 2*a^2 - 9*b^2)/(a^4*(e^(2*x) - 1)^3)","A",0
88,1,32,0,0.578186," ","integrate(1/(3+5*I*sinh(d*x+c)),x, algorithm=""giac"")","-\frac{-i \, \log\left(-\left(i - 2\right) \, e^{\left(d x + c\right)} - 2 i + 1\right) + i \, \log\left(-\left(2 i - 1\right) \, e^{\left(d x + c\right)} + i - 2\right)}{4 \, d}"," ",0,"-1/4*(-I*log(-(I - 2)*e^(d*x + c) - 2*I + 1) + I*log(-(2*I - 1)*e^(d*x + c) + I - 2))/d","A",0
89,1,67,0,0.155556," ","integrate(1/(3+5*I*sinh(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{8 \, {\left(-3 i \, e^{\left(d x + c\right)} - 5\right)}}{5 \, e^{\left(2 \, d x + 2 \, c\right)} - 6 i \, e^{\left(d x + c\right)} - 5} + 3 i \, \log\left(-\left(i - 2\right) \, e^{\left(d x + c\right)} - 2 i + 1\right) - 3 i \, \log\left(-\left(2 i - 1\right) \, e^{\left(d x + c\right)} + i - 2\right)}{64 \, d}"," ",0,"-1/64*(8*(-3*I*e^(d*x + c) - 5)/(5*e^(2*d*x + 2*c) - 6*I*e^(d*x + c) - 5) + 3*I*log(-(I - 2)*e^(d*x + c) - 2*I + 1) - 3*I*log(-(2*I - 1)*e^(d*x + c) + I - 2))/d","A",0
90,1,89,0,0.371328," ","integrate(1/(3+5*I*sinh(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{8 \, {\left(-215 i \, e^{\left(3 \, d x + 3 \, c\right)} - 387 \, e^{\left(2 \, d x + 2 \, c\right)} + 325 i \, e^{\left(d x + c\right)} + 225\right)}}{{\left(-5 i \, e^{\left(2 \, d x + 2 \, c\right)} - 6 \, e^{\left(d x + c\right)} + 5 i\right)}^{2}} - 43 i \, \log\left(-\left(i - 2\right) \, e^{\left(d x + c\right)} - 2 i + 1\right) + 43 i \, \log\left(-\left(2 i - 1\right) \, e^{\left(d x + c\right)} + i - 2\right)}{2048 \, d}"," ",0,"-1/2048*(8*(-215*I*e^(3*d*x + 3*c) - 387*e^(2*d*x + 2*c) + 325*I*e^(d*x + c) + 225)/(-5*I*e^(2*d*x + 2*c) - 6*e^(d*x + c) + 5*I)^2 - 43*I*log(-(I - 2)*e^(d*x + c) - 2*I + 1) + 43*I*log(-(2*I - 1)*e^(d*x + c) + I - 2))/d","A",0
91,1,111,0,0.161053," ","integrate(1/(3+5*I*sinh(d*x+c))^4,x, algorithm=""giac"")","\frac{\frac{8 \, {\left(20925 i \, e^{\left(5 \, d x + 5 \, c\right)} + 62775 \, e^{\left(4 \, d x + 4 \, c\right)} - 111042 i \, e^{\left(3 \, d x + 3 \, c\right)} - 119310 \, e^{\left(2 \, d x + 2 \, c\right)} + 68625 i \, e^{\left(d x + c\right)} + 24875\right)}}{{\left(5 \, e^{\left(2 \, d x + 2 \, c\right)} - 6 i \, e^{\left(d x + c\right)} - 5\right)}^{3}} - 837 i \, \log\left(-\left(i - 2\right) \, e^{\left(d x + c\right)} - 2 i + 1\right) + 837 i \, \log\left(-\left(2 i - 1\right) \, e^{\left(d x + c\right)} + i - 2\right)}{98304 \, d}"," ",0,"1/98304*(8*(20925*I*e^(5*d*x + 5*c) + 62775*e^(4*d*x + 4*c) - 111042*I*e^(3*d*x + 3*c) - 119310*e^(2*d*x + 2*c) + 68625*I*e^(d*x + c) + 24875)/(5*e^(2*d*x + 2*c) - 6*I*e^(d*x + c) - 5)^3 - 837*I*log(-(I - 2)*e^(d*x + c) - 2*I + 1) + 837*I*log(-(2*I - 1)*e^(d*x + c) + I - 2))/d","A",0
92,1,28,0,0.239574," ","integrate(1/(5+3*I*sinh(d*x+c)),x, algorithm=""giac"")","\frac{\log\left(3 \, e^{\left(d x + c\right)} - i\right) - \log\left(e^{\left(d x + c\right)} - 3 i\right)}{4 \, d}"," ",0,"1/4*(log(3*e^(d*x + c) - I) - log(e^(d*x + c) - 3*I))/d","A",0
93,1,65,0,0.223762," ","integrate(1/(5+3*I*sinh(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{8 \, {\left(5 i \, e^{\left(d x + c\right)} + 3\right)}}{3 \, e^{\left(2 \, d x + 2 \, c\right)} - 10 i \, e^{\left(d x + c\right)} - 3} - 5 \, \log\left(3 \, e^{\left(d x + c\right)} - i\right) + 5 \, \log\left(e^{\left(d x + c\right)} - 3 i\right)}{64 \, d}"," ",0,"-1/64*(8*(5*I*e^(d*x + c) + 3)/(3*e^(2*d*x + 2*c) - 10*I*e^(d*x + c) - 3) - 5*log(3*e^(d*x + c) - I) + 5*log(e^(d*x + c) - 3*I))/d","A",0
94,1,87,0,0.270714," ","integrate(1/(5+3*I*sinh(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{8 \, {\left(-177 i \, e^{\left(3 \, d x + 3 \, c\right)} - 885 \, e^{\left(2 \, d x + 2 \, c\right)} + 723 i \, e^{\left(d x + c\right)} + 135\right)}}{{\left(-3 i \, e^{\left(2 \, d x + 2 \, c\right)} - 10 \, e^{\left(d x + c\right)} + 3 i\right)}^{2}} - 59 \, \log\left(3 \, e^{\left(d x + c\right)} - i\right) + 59 \, \log\left(e^{\left(d x + c\right)} - 3 i\right)}{2048 \, d}"," ",0,"-1/2048*(8*(-177*I*e^(3*d*x + 3*c) - 885*e^(2*d*x + 2*c) + 723*I*e^(d*x + c) + 135)/(-3*I*e^(2*d*x + 2*c) - 10*e^(d*x + c) + 3*I)^2 - 59*log(3*e^(d*x + c) - I) + 59*log(e^(d*x + c) - 3*I))/d","A",0
95,1,109,0,0.174559," ","integrate(1/(5+3*I*sinh(d*x+c))^4,x, algorithm=""giac"")","-\frac{\frac{8 \, {\left(10395 i \, e^{\left(5 \, d x + 5 \, c\right)} + 86625 \, e^{\left(4 \, d x + 4 \, c\right)} - 239470 i \, e^{\left(3 \, d x + 3 \, c\right)} - 218466 \, e^{\left(2 \, d x + 2 \, c\right)} + 73575 i \, e^{\left(d x + c\right)} + 8397\right)}}{{\left(3 \, e^{\left(2 \, d x + 2 \, c\right)} - 10 i \, e^{\left(d x + c\right)} - 3\right)}^{3}} - 1155 \, \log\left(3 \, e^{\left(d x + c\right)} - i\right) + 1155 \, \log\left(e^{\left(d x + c\right)} - 3 i\right)}{98304 \, d}"," ",0,"-1/98304*(8*(10395*I*e^(5*d*x + 5*c) + 86625*e^(4*d*x + 4*c) - 239470*I*e^(3*d*x + 3*c) - 218466*e^(2*d*x + 2*c) + 73575*I*e^(d*x + c) + 8397)/(3*e^(2*d*x + 2*c) - 10*I*e^(d*x + c) - 3)^3 - 1155*log(3*e^(d*x + c) - I) + 1155*log(e^(d*x + c) - 3*I))/d","A",0
96,1,269,0,0.418764," ","integrate((a+b*sinh(d*x+c))^5,x, algorithm=""giac"")","\frac{b^{5} e^{\left(5 \, d x + 5 \, c\right)}}{160 \, d} + \frac{5 \, a b^{4} e^{\left(4 \, d x + 4 \, c\right)}}{64 \, d} - \frac{5 \, a b^{4} e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d} + \frac{b^{5} e^{\left(-5 \, d x - 5 \, c\right)}}{160 \, d} + \frac{1}{8} \, {\left(8 \, a^{5} - 40 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x + \frac{5 \, {\left(8 \, a^{2} b^{3} - b^{5}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{96 \, d} + \frac{5 \, {\left(2 \, a^{3} b^{2} - a b^{4}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, d} + \frac{5 \, {\left(8 \, a^{4} b - 12 \, a^{2} b^{3} + b^{5}\right)} e^{\left(d x + c\right)}}{16 \, d} + \frac{5 \, {\left(8 \, a^{4} b - 12 \, a^{2} b^{3} + b^{5}\right)} e^{\left(-d x - c\right)}}{16 \, d} - \frac{5 \, {\left(2 \, a^{3} b^{2} - a b^{4}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, d} + \frac{5 \, {\left(8 \, a^{2} b^{3} - b^{5}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{96 \, d}"," ",0,"1/160*b^5*e^(5*d*x + 5*c)/d + 5/64*a*b^4*e^(4*d*x + 4*c)/d - 5/64*a*b^4*e^(-4*d*x - 4*c)/d + 1/160*b^5*e^(-5*d*x - 5*c)/d + 1/8*(8*a^5 - 40*a^3*b^2 + 15*a*b^4)*x + 5/96*(8*a^2*b^3 - b^5)*e^(3*d*x + 3*c)/d + 5/8*(2*a^3*b^2 - a*b^4)*e^(2*d*x + 2*c)/d + 5/16*(8*a^4*b - 12*a^2*b^3 + b^5)*e^(d*x + c)/d + 5/16*(8*a^4*b - 12*a^2*b^3 + b^5)*e^(-d*x - c)/d - 5/8*(2*a^3*b^2 - a*b^4)*e^(-2*d*x - 2*c)/d + 5/96*(8*a^2*b^3 - b^5)*e^(-3*d*x - 3*c)/d","A",0
97,1,200,0,0.466384," ","integrate((a+b*sinh(d*x+c))^4,x, algorithm=""giac"")","\frac{b^{4} e^{\left(4 \, d x + 4 \, c\right)}}{64 \, d} + \frac{a b^{3} e^{\left(3 \, d x + 3 \, c\right)}}{6 \, d} + \frac{a b^{3} e^{\left(-3 \, d x - 3 \, c\right)}}{6 \, d} - \frac{b^{4} e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d} + \frac{1}{8} \, {\left(8 \, a^{4} - 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} x + \frac{{\left(6 \, a^{2} b^{2} - b^{4}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, d} + \frac{{\left(4 \, a^{3} b - 3 \, a b^{3}\right)} e^{\left(d x + c\right)}}{2 \, d} + \frac{{\left(4 \, a^{3} b - 3 \, a b^{3}\right)} e^{\left(-d x - c\right)}}{2 \, d} - \frac{{\left(6 \, a^{2} b^{2} - b^{4}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, d}"," ",0,"1/64*b^4*e^(4*d*x + 4*c)/d + 1/6*a*b^3*e^(3*d*x + 3*c)/d + 1/6*a*b^3*e^(-3*d*x - 3*c)/d - 1/64*b^4*e^(-4*d*x - 4*c)/d + 1/8*(8*a^4 - 24*a^2*b^2 + 3*b^4)*x + 1/8*(6*a^2*b^2 - b^4)*e^(2*d*x + 2*c)/d + 1/2*(4*a^3*b - 3*a*b^3)*e^(d*x + c)/d + 1/2*(4*a^3*b - 3*a*b^3)*e^(-d*x - c)/d - 1/8*(6*a^2*b^2 - b^4)*e^(-2*d*x - 2*c)/d","A",0
98,1,135,0,0.151758," ","integrate((a+b*sinh(d*x+c))^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(3 \, d x + 3 \, c\right)}}{24 \, d} + \frac{3 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, d} - \frac{3 \, a b^{2} e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, d} + \frac{b^{3} e^{\left(-3 \, d x - 3 \, c\right)}}{24 \, d} + \frac{1}{2} \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} x + \frac{3 \, {\left(4 \, a^{2} b - b^{3}\right)} e^{\left(d x + c\right)}}{8 \, d} + \frac{3 \, {\left(4 \, a^{2} b - b^{3}\right)} e^{\left(-d x - c\right)}}{8 \, d}"," ",0,"1/24*b^3*e^(3*d*x + 3*c)/d + 3/8*a*b^2*e^(2*d*x + 2*c)/d - 3/8*a*b^2*e^(-2*d*x - 2*c)/d + 1/24*b^3*e^(-3*d*x - 3*c)/d + 1/2*(2*a^3 - 3*a*b^2)*x + 3/8*(4*a^2*b - b^3)*e^(d*x + c)/d + 3/8*(4*a^2*b - b^3)*e^(-d*x - c)/d","A",0
99,1,76,0,0.162916," ","integrate((a+b*sinh(d*x+c))^2,x, algorithm=""giac"")","\frac{1}{2} \, {\left(2 \, a^{2} - b^{2}\right)} x + \frac{b^{2} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, d} + \frac{a b e^{\left(d x + c\right)}}{d} + \frac{a b e^{\left(-d x - c\right)}}{d} - \frac{b^{2} e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, d}"," ",0,"1/2*(2*a^2 - b^2)*x + 1/8*b^2*e^(2*d*x + 2*c)/d + a*b*e^(d*x + c)/d + a*b*e^(-d*x - c)/d - 1/8*b^2*e^(-2*d*x - 2*c)/d","A",0
100,1,31,0,0.256370," ","integrate(a+b*sinh(d*x+c),x, algorithm=""giac"")","a x + \frac{1}{2} \, b {\left(\frac{e^{\left(d x + c\right)}}{d} + \frac{e^{\left(-d x - c\right)}}{d}\right)}"," ",0,"a*x + 1/2*b*(e^(d*x + c)/d + e^(-d*x - c)/d)","B",0
101,1,67,0,0.149248," ","integrate(1/(a+b*sinh(d*x+c)),x, algorithm=""giac"")","\frac{\log\left(\frac{{\left| 2 \, b e^{\left(d x + c\right)} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{\left(d x + c\right)} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} d}"," ",0,"log(abs(2*b*e^(d*x + c) + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^(d*x + c) + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*d)","A",0
102,1,119,0,0.427374," ","integrate(1/(a+b*sinh(d*x+c))^2,x, algorithm=""giac"")","\frac{\frac{a \log\left(\frac{{\left| 2 \, b e^{\left(d x + c\right)} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{\left(d x + c\right)} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, {\left(a e^{\left(d x + c\right)} - b\right)}}{{\left(a^{2} + b^{2}\right)} {\left(b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a e^{\left(d x + c\right)} - b\right)}}}{d}"," ",0,"(a*log(abs(2*b*e^(d*x + c) + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^(d*x + c) + 2*a + 2*sqrt(a^2 + b^2)))/(a^2 + b^2)^(3/2) + 2*(a*e^(d*x + c) - b)/((a^2 + b^2)*(b*e^(2*d*x + 2*c) + 2*a*e^(d*x + c) - b)))/d","A",0
103,1,231,0,0.386419," ","integrate(1/(a+b*sinh(d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{{\left(2 \, a^{2} - b^{2}\right)} \log\left(\frac{{\left| 2 \, b e^{\left(d x + c\right)} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{\left(d x + c\right)} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}}} + \frac{2 \, {\left(2 \, a^{2} b e^{\left(3 \, d x + 3 \, c\right)} - b^{3} e^{\left(3 \, d x + 3 \, c\right)} + 6 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 3 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 10 \, a^{2} b e^{\left(d x + c\right)} - b^{3} e^{\left(d x + c\right)} + 3 \, a b^{2}\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} {\left(b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a e^{\left(d x + c\right)} - b\right)}^{2}}}{2 \, d}"," ",0,"1/2*((2*a^2 - b^2)*log(abs(2*b*e^(d*x + c) + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^(d*x + c) + 2*a + 2*sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)) + 2*(2*a^2*b*e^(3*d*x + 3*c) - b^3*e^(3*d*x + 3*c) + 6*a^3*e^(2*d*x + 2*c) - 3*a*b^2*e^(2*d*x + 2*c) - 10*a^2*b*e^(d*x + c) - b^3*e^(d*x + c) + 3*a*b^2)/((a^4 + 2*a^2*b^2 + b^4)*(b*e^(2*d*x + 2*c) + 2*a*e^(d*x + c) - b)^2))/d","A",0
104,1,357,0,0.231909," ","integrate(1/(a+b*sinh(d*x+c))^4,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} \log\left(\frac{{\left| 2 \, b e^{\left(d x + c\right)} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{\left(d x + c\right)} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\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(6 \, a^{3} b^{2} e^{\left(5 \, d x + 5 \, c\right)} - 9 \, a b^{4} e^{\left(5 \, d x + 5 \, c\right)} + 30 \, a^{4} b e^{\left(4 \, d x + 4 \, c\right)} - 45 \, a^{2} b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 44 \, a^{5} e^{\left(3 \, d x + 3 \, c\right)} - 82 \, a^{3} b^{2} e^{\left(3 \, d x + 3 \, c\right)} + 24 \, a b^{4} e^{\left(3 \, d x + 3 \, c\right)} - 102 \, a^{4} b e^{\left(2 \, d x + 2 \, c\right)} + 36 \, a^{2} b^{3} e^{\left(2 \, d x + 2 \, c\right)} - 12 \, b^{5} e^{\left(2 \, d x + 2 \, c\right)} + 60 \, a^{3} b^{2} e^{\left(d x + c\right)} - 15 \, a b^{4} e^{\left(d x + c\right)} - 11 \, a^{2} b^{3} + 4 \, b^{5}\right)}}{{\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} {\left(b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a e^{\left(d x + c\right)} - b\right)}^{3}}}{6 \, d}"," ",0,"1/6*(3*(2*a^3 - 3*a*b^2)*log(abs(2*b*e^(d*x + c) + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^(d*x + c) + 2*a + 2*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*(6*a^3*b^2*e^(5*d*x + 5*c) - 9*a*b^4*e^(5*d*x + 5*c) + 30*a^4*b*e^(4*d*x + 4*c) - 45*a^2*b^3*e^(4*d*x + 4*c) + 44*a^5*e^(3*d*x + 3*c) - 82*a^3*b^2*e^(3*d*x + 3*c) + 24*a*b^4*e^(3*d*x + 3*c) - 102*a^4*b*e^(2*d*x + 2*c) + 36*a^2*b^3*e^(2*d*x + 2*c) - 12*b^5*e^(2*d*x + 2*c) + 60*a^3*b^2*e^(d*x + c) - 15*a*b^4*e^(d*x + c) - 11*a^2*b^3 + 4*b^5)/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*(b*e^(2*d*x + 2*c) + 2*a*e^(d*x + c) - b)^3))/d","B",0
105,0,0,0,0.000000," ","integrate((a+b*sinh(x))^(5/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
115,1,17,0,0.203021," ","integrate((A+B*sinh(x))/(I+sinh(x)),x, algorithm=""giac"")","B x - \frac{2 \, {\left(A - i \, B\right)}}{e^{x} + i}"," ",0,"B*x - 2*(A - I*B)/(e^x + I)","A",0
116,1,32,0,0.176023," ","integrate((A+B*sinh(x))/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{6 \, B e^{\left(2 \, x\right)} + 6 \, A e^{x} + 6 i \, B e^{x} + 2 i \, A - 4 \, B}{3 \, {\left(e^{x} + i\right)}^{3}}"," ",0,"-1/3*(6*B*e^(2*x) + 6*A*e^x + 6*I*B*e^x + 2*I*A - 4*B)/(e^x + I)^3","A",0
117,1,46,0,0.213533," ","integrate((A+B*sinh(x))/(I+sinh(x))^3,x, algorithm=""giac"")","-\frac{30 \, B e^{\left(3 \, x\right)} + 40 \, A e^{\left(2 \, x\right)} + 30 i \, B e^{\left(2 \, x\right)} + 20 i \, A e^{x} - 30 \, B e^{x} - 4 \, A - 6 i \, B}{15 \, {\left(e^{x} + i\right)}^{5}}"," ",0,"-1/15*(30*B*e^(3*x) + 40*A*e^(2*x) + 30*I*B*e^(2*x) + 20*I*A*e^x - 30*B*e^x - 4*A - 6*I*B)/(e^x + I)^5","A",0
118,1,60,0,0.176355," ","integrate((A+B*sinh(x))/(I+sinh(x))^4,x, algorithm=""giac"")","-\frac{280 \, B e^{\left(4 \, x\right)} + 420 \, A e^{\left(3 \, x\right)} + 280 i \, B e^{\left(3 \, x\right)} + 252 i \, A e^{\left(2 \, x\right)} - 336 \, B e^{\left(2 \, x\right)} - 84 \, A e^{x} - 112 i \, B e^{x} - 12 i \, A + 16 \, B}{105 \, {\left(e^{x} + i\right)}^{7}}"," ",0,"-1/105*(280*B*e^(4*x) + 420*A*e^(3*x) + 280*I*B*e^(3*x) + 252*I*A*e^(2*x) - 336*B*e^(2*x) - 84*A*e^x - 112*I*B*e^x - 12*I*A + 16*B)/(e^x + I)^7","A",0
119,1,18,0,0.385988," ","integrate((A+B*sinh(x))/(I-sinh(x)),x, algorithm=""giac"")","-B x + \frac{2 \, {\left(A + i \, B\right)}}{e^{x} - i}"," ",0,"-B*x + 2*(A + I*B)/(e^x - I)","A",0
120,1,32,0,0.175163," ","integrate((A+B*sinh(x))/(I-sinh(x))^2,x, algorithm=""giac"")","-\frac{6 \, B e^{\left(2 \, x\right)} + 6 \, A e^{x} - 6 i \, B e^{x} - 2 i \, A - 4 \, B}{3 \, {\left(e^{x} - i\right)}^{3}}"," ",0,"-1/3*(6*B*e^(2*x) + 6*A*e^x - 6*I*B*e^x - 2*I*A - 4*B)/(e^x - I)^3","A",0
121,1,46,0,0.175074," ","integrate((A+B*sinh(x))/(I-sinh(x))^3,x, algorithm=""giac"")","\frac{30 \, B e^{\left(3 \, x\right)} + 40 \, A e^{\left(2 \, x\right)} - 30 i \, B e^{\left(2 \, x\right)} - 20 i \, A e^{x} - 30 \, B e^{x} - 4 \, A + 6 i \, B}{15 \, {\left(e^{x} - i\right)}^{5}}"," ",0,"1/15*(30*B*e^(3*x) + 40*A*e^(2*x) - 30*I*B*e^(2*x) - 20*I*A*e^x - 30*B*e^x - 4*A + 6*I*B)/(e^x - I)^5","A",0
122,1,60,0,0.200666," ","integrate((A+B*sinh(x))/(I-sinh(x))^4,x, algorithm=""giac"")","-\frac{280 \, B e^{\left(4 \, x\right)} + 420 \, A e^{\left(3 \, x\right)} - 280 i \, B e^{\left(3 \, x\right)} - 252 i \, A e^{\left(2 \, x\right)} - 336 \, B e^{\left(2 \, x\right)} - 84 \, A e^{x} + 112 i \, B e^{x} + 12 i \, A + 16 \, B}{105 \, {\left(e^{x} - i\right)}^{7}}"," ",0,"-1/105*(280*B*e^(4*x) + 420*A*e^(3*x) - 280*I*B*e^(3*x) - 252*I*A*e^(2*x) - 336*B*e^(2*x) - 84*A*e^x + 112*I*B*e^x + 12*I*A + 16*B)/(e^x - I)^7","A",0
123,0,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+I*a*sinh(x))^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
129,1,75,0,0.360345," ","integrate((A+B*sinh(x))/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{B x}{b} - \frac{{\left(B a - A b\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} b}"," ",0,"B*x/b - (B*a - A*b)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b)","A",0
130,1,119,0,0.174302," ","integrate((A+B*sinh(x))/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{{\left(A a + B b\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}}} - \frac{2 \, {\left(B a^{2} e^{x} - A a b e^{x} - B a b + A b^{2}\right)}}{{\left(a^{2} b + b^{3}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)}}"," ",0,"(A*a + B*b)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(a^2 + b^2)^(3/2) - 2*(B*a^2*e^x - A*a*b*e^x - B*a*b + A*b^2)/((a^2*b + b^3)*(b*e^(2*x) + 2*a*e^x - b))","A",0
131,1,279,0,0.245887," ","integrate((A+B*sinh(x))/(a+b*sinh(x))^3,x, algorithm=""giac"")","-\frac{{\left(2 \, A a^{2} + 3 \, B a b - A b^{2}\right)} \log\left(\frac{{\left| -2 \, b e^{x} - 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| -2 \, b e^{x} - 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}}} + \frac{2 \, A a^{2} b^{2} e^{\left(3 \, x\right)} + 3 \, B a b^{3} e^{\left(3 \, x\right)} - A b^{4} e^{\left(3 \, x\right)} - 2 \, B a^{4} e^{\left(2 \, x\right)} + 6 \, A a^{3} b e^{\left(2 \, x\right)} + 5 \, B a^{2} b^{2} e^{\left(2 \, x\right)} - 3 \, A a b^{3} e^{\left(2 \, x\right)} - 2 \, B b^{4} e^{\left(2 \, x\right)} + 4 \, B a^{3} b e^{x} - 10 \, A a^{2} b^{2} e^{x} - 5 \, B a b^{3} e^{x} - A b^{4} e^{x} - B a^{2} b^{2} + 3 \, A a b^{3} + 2 \, B b^{4}}{{\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)}^{2}}"," ",0,"-1/2*(2*A*a^2 + 3*B*a*b - A*b^2)*log(abs(-2*b*e^x - 2*a - 2*sqrt(a^2 + b^2))/abs(-2*b*e^x - 2*a + 2*sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)) + (2*A*a^2*b^2*e^(3*x) + 3*B*a*b^3*e^(3*x) - A*b^4*e^(3*x) - 2*B*a^4*e^(2*x) + 6*A*a^3*b*e^(2*x) + 5*B*a^2*b^2*e^(2*x) - 3*A*a*b^3*e^(2*x) - 2*B*b^4*e^(2*x) + 4*B*a^3*b*e^x - 10*A*a^2*b^2*e^x - 5*B*a*b^3*e^x - A*b^4*e^x - B*a^2*b^2 + 3*A*a*b^3 + 2*B*b^4)/((a^4*b + 2*a^2*b^3 + b^5)*(b*e^(2*x) + 2*a*e^x - b)^2)","B",0
132,1,477,0,0.225987," ","integrate((A+B*sinh(x))/(a+b*sinh(x))^4,x, algorithm=""giac"")","\frac{{\left(2 \, A a^{3} + 4 \, B a^{2} b - 3 \, A a b^{2} - B b^{3}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \sqrt{a^{2} + b^{2}}} + \frac{6 \, A a^{3} b^{3} e^{\left(5 \, x\right)} + 12 \, B a^{2} b^{4} e^{\left(5 \, x\right)} - 9 \, A a b^{5} e^{\left(5 \, x\right)} - 3 \, B b^{6} e^{\left(5 \, x\right)} + 30 \, A a^{4} b^{2} e^{\left(4 \, x\right)} + 60 \, B a^{3} b^{3} e^{\left(4 \, x\right)} - 45 \, A a^{2} b^{4} e^{\left(4 \, x\right)} - 15 \, B a b^{5} e^{\left(4 \, x\right)} - 8 \, B a^{6} e^{\left(3 \, x\right)} + 44 \, A a^{5} b e^{\left(3 \, x\right)} + 64 \, B a^{4} b^{2} e^{\left(3 \, x\right)} - 82 \, A a^{3} b^{3} e^{\left(3 \, x\right)} - 78 \, B a^{2} b^{4} e^{\left(3 \, x\right)} + 24 \, A a b^{5} e^{\left(3 \, x\right)} + 24 \, B a^{5} b e^{\left(2 \, x\right)} - 102 \, A a^{4} b^{2} e^{\left(2 \, x\right)} - 102 \, B a^{3} b^{3} e^{\left(2 \, x\right)} + 36 \, A a^{2} b^{4} e^{\left(2 \, x\right)} + 24 \, B a b^{5} e^{\left(2 \, x\right)} - 12 \, A b^{6} e^{\left(2 \, x\right)} - 12 \, B a^{4} b^{2} e^{x} + 60 \, A a^{3} b^{3} e^{x} + 66 \, B a^{2} b^{4} e^{x} - 15 \, A a b^{5} e^{x} + 3 \, B b^{6} e^{x} + 2 \, B a^{3} b^{3} - 11 \, A a^{2} b^{4} - 13 \, B a b^{5} + 4 \, A b^{6}}{3 \, {\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)}^{3}}"," ",0,"1/2*(2*A*a^3 + 4*B*a^2*b - 3*A*a*b^2 - B*b^3)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sqrt(a^2 + b^2)) + 1/3*(6*A*a^3*b^3*e^(5*x) + 12*B*a^2*b^4*e^(5*x) - 9*A*a*b^5*e^(5*x) - 3*B*b^6*e^(5*x) + 30*A*a^4*b^2*e^(4*x) + 60*B*a^3*b^3*e^(4*x) - 45*A*a^2*b^4*e^(4*x) - 15*B*a*b^5*e^(4*x) - 8*B*a^6*e^(3*x) + 44*A*a^5*b*e^(3*x) + 64*B*a^4*b^2*e^(3*x) - 82*A*a^3*b^3*e^(3*x) - 78*B*a^2*b^4*e^(3*x) + 24*A*a*b^5*e^(3*x) + 24*B*a^5*b*e^(2*x) - 102*A*a^4*b^2*e^(2*x) - 102*B*a^3*b^3*e^(2*x) + 36*A*a^2*b^4*e^(2*x) + 24*B*a*b^5*e^(2*x) - 12*A*b^6*e^(2*x) - 12*B*a^4*b^2*e^x + 60*A*a^3*b^3*e^x + 66*B*a^2*b^4*e^x - 15*A*a*b^5*e^x + 3*B*b^6*e^x + 2*B*a^3*b^3 - 11*A*a^2*b^4 - 13*B*a*b^5 + 4*A*b^6)/((a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*(b*e^(2*x) + 2*a*e^x - b)^3)","B",0
133,1,82,0,0.351335," ","integrate((b*B/a+B*sinh(x))/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{B x}{b} - \frac{{\left(B a^{2} - B b^{2}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} a b}"," ",0,"B*x/b - (B*a^2 - B*b^2)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a*b)","A",0
134,1,6,0,0.165813," ","integrate((a*B/b+B*sinh(x))/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{B x}{b}"," ",0,"B*x/b","A",0
135,1,30,0,0.188008," ","integrate((a-b*sinh(x))/(b+a*sinh(x))^2,x, algorithm=""giac"")","\frac{2 \, {\left(b e^{x} - a\right)}}{{\left(a e^{\left(2 \, x\right)} + 2 \, b e^{x} - a\right)} a}"," ",0,"2*(b*e^x - a)/((a*e^(2*x) + 2*b*e^x - a)*a)","B",0
136,1,33,0,0.188829," ","integrate((2-sinh(x))/(2+sinh(x)),x, algorithm=""giac"")","\frac{4}{5} \, \sqrt{5} \log\left(\frac{{\left| -2 \, \sqrt{5} + 2 \, e^{x} + 4 \right|}}{2 \, {\left(\sqrt{5} + e^{x} + 2\right)}}\right) - x"," ",0,"4/5*sqrt(5)*log(1/2*abs(-2*sqrt(5) + 2*e^x + 4)/(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=""giac"")","\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=""giac"")","\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=""giac"")","\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
140,1,120,0,0.154650," ","integrate((a*sinh(x)^2)^(5/2),x, algorithm=""giac"")","\frac{1}{480} \, {\left(3 \, a^{2} e^{\left(5 \, x\right)} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right) - 25 \, a^{2} e^{\left(3 \, x\right)} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right) + 150 \, a^{2} e^{x} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right) + {\left(150 \, a^{2} e^{\left(4 \, x\right)} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right) - 25 \, a^{2} e^{\left(2 \, x\right)} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right) + 3 \, a^{2} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right)\right)} e^{\left(-5 \, x\right)}\right)} \sqrt{a}"," ",0,"1/480*(3*a^2*e^(5*x)*sgn(e^(3*x) - e^x) - 25*a^2*e^(3*x)*sgn(e^(3*x) - e^x) + 150*a^2*e^x*sgn(e^(3*x) - e^x) + (150*a^2*e^(4*x)*sgn(e^(3*x) - e^x) - 25*a^2*e^(2*x)*sgn(e^(3*x) - e^x) + 3*a^2*sgn(e^(3*x) - e^x))*e^(-5*x))*sqrt(a)","B",0
141,1,70,0,0.458626," ","integrate((a*sinh(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{1}{24} \, {\left({\left(9 \, e^{\left(2 \, x\right)} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right) - \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right)\right)} e^{\left(-3 \, x\right)} - e^{\left(3 \, x\right)} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right) + 9 \, e^{x} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right)\right)} a^{\frac{3}{2}}"," ",0,"-1/24*((9*e^(2*x)*sgn(e^(3*x) - e^x) - sgn(e^(3*x) - e^x))*e^(-3*x) - e^(3*x)*sgn(e^(3*x) - e^x) + 9*e^x*sgn(e^(3*x) - e^x))*a^(3/2)","B",0
142,1,34,0,0.231478," ","integrate((a*sinh(x)^2)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, {\left(e^{\left(-x\right)} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right) + e^{x} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right)\right)} \sqrt{a}"," ",0,"1/2*(e^(-x)*sgn(e^(3*x) - e^x) + e^x*sgn(e^(3*x) - e^x))*sqrt(a)","B",0
143,1,1,0,0.233893," ","integrate(1/(a*sinh(x)^2)^(1/2),x, algorithm=""giac"")","0"," ",0,"0","A",0
144,1,37,0,0.199701," ","integrate(1/(a*sinh(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{e^{\left(-x\right)} + e^{x}}{{\left({\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 4\right)} a^{\frac{3}{2}} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right)}"," ",0,"-(e^(-x) + e^x)/(((e^(-x) + e^x)^2 - 4)*a^(3/2)*sgn(e^(3*x) - e^x))","A",0
145,1,52,0,0.224478," ","integrate(1/(a*sinh(x)^2)^(5/2),x, algorithm=""giac"")","\frac{3 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - 20 \, e^{\left(-x\right)} - 20 \, e^{x}}{4 \, {\left({\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 4\right)}^{2} a^{\frac{5}{2}} \mathrm{sgn}\left(e^{\left(3 \, x\right)} - e^{x}\right)}"," ",0,"1/4*(3*(e^(-x) + e^x)^3 - 20*e^(-x) - 20*e^x)/(((e^(-x) + e^x)^2 - 4)^2*a^(5/2)*sgn(e^(3*x) - e^x))","A",0
146,0,0,0,0.000000," ","integrate((a*sinh(x)^3)^(5/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
152,1,114,0,0.301041," ","integrate((a*sinh(x)^4)^(5/2),x, algorithm=""giac"")","-\frac{1}{20480} \, {\left(5040 \, a^{2} x - 2 \, a^{2} e^{\left(10 \, x\right)} + 25 \, a^{2} e^{\left(8 \, x\right)} - 150 \, a^{2} e^{\left(6 \, x\right)} + 600 \, a^{2} e^{\left(4 \, x\right)} - 2100 \, a^{2} e^{\left(2 \, x\right)} - {\left(5754 \, a^{2} e^{\left(10 \, x\right)} - 2100 \, a^{2} e^{\left(8 \, x\right)} + 600 \, a^{2} e^{\left(6 \, x\right)} - 150 \, a^{2} e^{\left(4 \, x\right)} + 25 \, a^{2} e^{\left(2 \, x\right)} - 2 \, a^{2}\right)} e^{\left(-10 \, x\right)}\right)} \sqrt{a}"," ",0,"-1/20480*(5040*a^2*x - 2*a^2*e^(10*x) + 25*a^2*e^(8*x) - 150*a^2*e^(6*x) + 600*a^2*e^(4*x) - 2100*a^2*e^(2*x) - (5754*a^2*e^(10*x) - 2100*a^2*e^(8*x) + 600*a^2*e^(6*x) - 150*a^2*e^(4*x) + 25*a^2*e^(2*x) - 2*a^2)*e^(-10*x))*sqrt(a)","A",0
153,1,50,0,0.166049," ","integrate((a*sinh(x)^4)^(3/2),x, algorithm=""giac"")","\frac{1}{384} \, {\left({\left(110 \, e^{\left(6 \, x\right)} - 45 \, e^{\left(4 \, x\right)} + 9 \, e^{\left(2 \, x\right)} - 1\right)} e^{\left(-6 \, x\right)} - 120 \, x + e^{\left(6 \, x\right)} - 9 \, e^{\left(4 \, x\right)} + 45 \, e^{\left(2 \, x\right)}\right)} a^{\frac{3}{2}}"," ",0,"1/384*((110*e^(6*x) - 45*e^(4*x) + 9*e^(2*x) - 1)*e^(-6*x) - 120*x + e^(6*x) - 9*e^(4*x) + 45*e^(2*x))*a^(3/2)","A",0
154,1,26,0,0.298677," ","integrate((a*sinh(x)^4)^(1/2),x, algorithm=""giac"")","\frac{1}{8} \, {\left({\left(2 \, e^{\left(2 \, x\right)} - 1\right)} e^{\left(-2 \, x\right)} - 4 \, x + e^{\left(2 \, x\right)}\right)} \sqrt{a}"," ",0,"1/8*((2*e^(2*x) - 1)*e^(-2*x) - 4*x + e^(2*x))*sqrt(a)","A",0
155,1,13,0,0.171840," ","integrate(1/(a*sinh(x)^4)^(1/2),x, algorithm=""giac"")","-\frac{2}{\sqrt{a} {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"-2/(sqrt(a)*(e^(2*x) - 1))","A",0
156,1,27,0,0.215625," ","integrate(1/(a*sinh(x)^4)^(3/2),x, algorithm=""giac"")","-\frac{16 \, {\left(10 \, e^{\left(4 \, x\right)} - 5 \, e^{\left(2 \, x\right)} + 1\right)}}{15 \, a^{\frac{3}{2}} {\left(e^{\left(2 \, x\right)} - 1\right)}^{5}}"," ",0,"-16/15*(10*e^(4*x) - 5*e^(2*x) + 1)/(a^(3/2)*(e^(2*x) - 1)^5)","A",0
157,1,39,0,0.359399," ","integrate(1/(a*sinh(x)^4)^(5/2),x, algorithm=""giac"")","-\frac{256 \, {\left(126 \, e^{\left(8 \, x\right)} - 84 \, e^{\left(6 \, x\right)} + 36 \, e^{\left(4 \, x\right)} - 9 \, e^{\left(2 \, x\right)} + 1\right)}}{315 \, a^{\frac{5}{2}} {\left(e^{\left(2 \, x\right)} - 1\right)}^{9}}"," ",0,"-256/315*(126*e^(8*x) - 84*e^(6*x) + 36*e^(4*x) - 9*e^(2*x) + 1)/(a^(5/2)*(e^(2*x) - 1)^9)","A",0
158,1,86,0,0.182035," ","integrate(cosh(x)^8/(I+sinh(x)),x, algorithm=""giac"")","\frac{1}{2688} \, {\left(105 \, e^{\left(6 \, x\right)} + 315 i \, e^{\left(5 \, x\right)} + 63 \, e^{\left(4 \, x\right)} + 63 i \, e^{\left(3 \, x\right)} + 21 \, e^{\left(2 \, x\right)} + 7 i \, e^{x} + 3\right)} e^{\left(-7 \, x\right)} - \frac{5}{16} i \, x + \frac{1}{896} \, e^{\left(7 \, x\right)} - \frac{1}{384} i \, e^{\left(6 \, x\right)} + \frac{1}{128} \, e^{\left(5 \, x\right)} - \frac{3}{128} i \, e^{\left(4 \, x\right)} + \frac{3}{128} \, e^{\left(3 \, x\right)} - \frac{15}{128} i \, e^{\left(2 \, x\right)} + \frac{5}{128} \, e^{x}"," ",0,"1/2688*(105*e^(6*x) + 315*I*e^(5*x) + 63*e^(4*x) + 63*I*e^(3*x) + 21*e^(2*x) + 7*I*e^x + 3)*e^(-7*x) - 5/16*I*x + 1/896*e^(7*x) - 1/384*I*e^(6*x) + 1/128*e^(5*x) - 3/128*I*e^(4*x) + 3/128*e^(3*x) - 15/128*I*e^(2*x) + 5/128*e^x","B",0
159,1,71,0,0.196809," ","integrate(cosh(x)^7/(I+sinh(x)),x, algorithm=""giac"")","-\frac{1}{1920} \, {\left(-600 i \, e^{\left(5 \, x\right)} - 75 \, e^{\left(4 \, x\right)} - 100 i \, e^{\left(3 \, x\right)} - 30 \, e^{\left(2 \, x\right)} - 12 i \, e^{x} - 5\right)} e^{\left(-6 \, x\right)} + \frac{1}{384} \, e^{\left(6 \, x\right)} - \frac{1}{160} i \, e^{\left(5 \, x\right)} + \frac{1}{64} \, e^{\left(4 \, x\right)} - \frac{5}{96} i \, e^{\left(3 \, x\right)} + \frac{5}{128} \, e^{\left(2 \, x\right)} - \frac{5}{16} i \, e^{x}"," ",0,"-1/1920*(-600*I*e^(5*x) - 75*e^(4*x) - 100*I*e^(3*x) - 30*e^(2*x) - 12*I*e^x - 5)*e^(-6*x) + 1/384*e^(6*x) - 1/160*I*e^(5*x) + 1/64*e^(4*x) - 5/96*I*e^(3*x) + 5/128*e^(2*x) - 5/16*I*e^x","B",0
160,1,62,0,0.227558," ","integrate(cosh(x)^6/(I+sinh(x)),x, algorithm=""giac"")","\frac{1}{320} \, {\left(20 \, e^{\left(4 \, x\right)} + 40 i \, e^{\left(3 \, x\right)} + 10 \, e^{\left(2 \, x\right)} + 5 i \, e^{x} + 2\right)} e^{\left(-5 \, x\right)} - \frac{3}{8} i \, x + \frac{1}{160} \, e^{\left(5 \, x\right)} - \frac{1}{64} i \, e^{\left(4 \, x\right)} + \frac{1}{32} \, e^{\left(3 \, x\right)} - \frac{1}{8} i \, e^{\left(2 \, x\right)} + \frac{1}{16} \, e^{x}"," ",0,"1/320*(20*e^(4*x) + 40*I*e^(3*x) + 10*e^(2*x) + 5*I*e^x + 2)*e^(-5*x) - 3/8*I*x + 1/160*e^(5*x) - 1/64*I*e^(4*x) + 1/32*e^(3*x) - 1/8*I*e^(2*x) + 1/16*e^x","B",0
161,1,47,0,0.357375," ","integrate(cosh(x)^5/(I+sinh(x)),x, algorithm=""giac"")","-\frac{1}{192} \, {\left(-72 i \, e^{\left(3 \, x\right)} - 12 \, e^{\left(2 \, x\right)} - 8 i \, e^{x} - 3\right)} e^{\left(-4 \, x\right)} + \frac{1}{64} \, e^{\left(4 \, x\right)} - \frac{1}{24} i \, e^{\left(3 \, x\right)} + \frac{1}{16} \, e^{\left(2 \, x\right)} - \frac{3}{8} i \, e^{x}"," ",0,"-1/192*(-72*I*e^(3*x) - 12*e^(2*x) - 8*I*e^x - 3)*e^(-4*x) + 1/64*e^(4*x) - 1/24*I*e^(3*x) + 1/16*e^(2*x) - 3/8*I*e^x","B",0
162,1,38,0,0.442327," ","integrate(cosh(x)^4/(I+sinh(x)),x, algorithm=""giac"")","\frac{1}{24} \, {\left(3 \, e^{\left(2 \, x\right)} + 3 i \, e^{x} + 1\right)} e^{\left(-3 \, x\right)} - \frac{1}{2} i \, x + \frac{1}{24} \, e^{\left(3 \, x\right)} - \frac{1}{8} i \, e^{\left(2 \, x\right)} + \frac{1}{8} \, e^{x}"," ",0,"1/24*(3*e^(2*x) + 3*I*e^x + 1)*e^(-3*x) - 1/2*I*x + 1/24*e^(3*x) - 1/8*I*e^(2*x) + 1/8*e^x","B",0
163,1,23,0,0.189725," ","integrate(cosh(x)^3/(I+sinh(x)),x, algorithm=""giac"")","-\frac{1}{8} \, {\left(-4 i \, e^{x} - 1\right)} e^{\left(-2 \, x\right)} + \frac{1}{8} \, e^{\left(2 \, x\right)} - \frac{1}{2} i \, e^{x}"," ",0,"-1/8*(-4*I*e^x - 1)*e^(-2*x) + 1/8*e^(2*x) - 1/2*I*e^x","B",0
164,1,14,0,0.154443," ","integrate(cosh(x)^2/(I+sinh(x)),x, algorithm=""giac"")","-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
165,1,11,0,0.300739," ","integrate(cosh(x)/(I+sinh(x)),x, algorithm=""giac"")","-x + 2 \, \log\left(e^{x} + i\right)"," ",0,"-x + 2*log(e^x + I)","B",0
166,1,51,0,0.486779," ","integrate(sech(x)/(I+sinh(x)),x, algorithm=""giac"")","-\frac{e^{\left(-x\right)} - e^{x} - 6 i}{4 \, {\left(e^{\left(-x\right)} - e^{x} - 2 i\right)}} + \frac{1}{4} \, \log\left(-e^{\left(-x\right)} + e^{x} + 2 i\right) - \frac{1}{4} \, \log\left(-e^{\left(-x\right)} + e^{x} - 2 i\right)"," ",0,"-1/4*(e^(-x) - e^x - 6*I)/(e^(-x) - e^x - 2*I) + 1/4*log(-e^(-x) + e^x + 2*I) - 1/4*log(-e^(-x) + e^x - 2*I)","B",0
167,1,29,0,0.142119," ","integrate(sech(x)^2/(I+sinh(x)),x, algorithm=""giac"")","\frac{1}{2 \, {\left(e^{x} - i\right)}} - \frac{3 \, e^{\left(2 \, x\right)} + 12 i \, e^{x} - 5}{6 \, {\left(e^{x} + i\right)}^{3}}"," ",0,"1/2/(e^x - I) - 1/6*(3*e^(2*x) + 12*I*e^x - 5)/(e^x + I)^3","A",0
168,1,92,0,0.447726," ","integrate(sech(x)^3/(I+sinh(x)),x, algorithm=""giac"")","\frac{3 \, e^{\left(-x\right)} - 3 \, e^{x} + 10 i}{16 \, {\left(e^{\left(-x\right)} - e^{x} + 2 i\right)}} - \frac{9 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} - 52 i \, e^{\left(-x\right)} + 52 i \, e^{x} - 84}{32 \, {\left(e^{\left(-x\right)} - e^{x} - 2 i\right)}^{2}} + \frac{3}{16} \, \log\left(-e^{\left(-x\right)} + e^{x} + 2 i\right) - \frac{3}{16} \, \log\left(-e^{\left(-x\right)} + e^{x} - 2 i\right)"," ",0,"1/16*(3*e^(-x) - 3*e^x + 10*I)/(e^(-x) - e^x + 2*I) - 1/32*(9*(e^(-x) - e^x)^2 - 52*I*e^(-x) + 52*I*e^x - 84)/(e^(-x) - e^x - 2*I)^2 + 3/16*log(-e^(-x) + e^x + 2*I) - 3/16*log(-e^(-x) + e^x - 2*I)","B",0
169,1,53,0,0.187407," ","integrate(sech(x)^4/(I+sinh(x)),x, algorithm=""giac"")","\frac{9 \, e^{\left(2 \, x\right)} - 24 i \, e^{x} - 11}{24 \, {\left(e^{x} - i\right)}^{3}} - \frac{45 \, e^{\left(4 \, x\right)} + 240 i \, e^{\left(3 \, x\right)} - 490 \, e^{\left(2 \, x\right)} - 320 i \, e^{x} + 73}{120 \, {\left(e^{x} + i\right)}^{5}}"," ",0,"1/24*(9*e^(2*x) - 24*I*e^x - 11)/(e^x - I)^3 - 1/120*(45*e^(4*x) + 240*I*e^(3*x) - 490*e^(2*x) - 320*I*e^x + 73)/(e^x + I)^5","B",0
170,1,118,0,0.376077," ","integrate(sech(x)^5/(I+sinh(x)),x, algorithm=""giac"")","\frac{15 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 76 i \, e^{\left(-x\right)} - 76 i \, e^{x} - 100}{64 \, {\left(e^{\left(-x\right)} - e^{x} + 2 i\right)}^{2}} - \frac{55 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} - 402 i \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} - 1020 \, e^{\left(-x\right)} + 1020 \, e^{x} + 936 i}{192 \, {\left(e^{\left(-x\right)} - e^{x} - 2 i\right)}^{3}} + \frac{5}{32} \, \log\left(-e^{\left(-x\right)} + e^{x} + 2 i\right) - \frac{5}{32} \, \log\left(-e^{\left(-x\right)} + e^{x} - 2 i\right)"," ",0,"1/64*(15*(e^(-x) - e^x)^2 + 76*I*e^(-x) - 76*I*e^x - 100)/(e^(-x) - e^x + 2*I)^2 - 1/192*(55*(e^(-x) - e^x)^3 - 402*I*(e^(-x) - e^x)^2 - 1020*e^(-x) + 1020*e^x + 936*I)/(e^(-x) - e^x - 2*I)^3 + 5/32*log(-e^(-x) + e^x + 2*I) - 5/32*log(-e^(-x) + e^x - 2*I)","B",0
171,1,50,0,0.175160," ","integrate(cosh(x)^6/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{1}{192} \, {\left(48 i \, e^{\left(3 \, x\right)} - 24 \, e^{\left(2 \, x\right)} + 16 i \, e^{x} + 3\right)} e^{\left(-4 \, x\right)} - \frac{5}{8} \, x + \frac{1}{64} \, e^{\left(4 \, x\right)} - \frac{1}{12} i \, e^{\left(3 \, x\right)} - \frac{1}{8} \, e^{\left(2 \, x\right)} - \frac{1}{4} i \, e^{x}"," ",0,"-1/192*(48*I*e^(3*x) - 24*e^(2*x) + 16*I*e^x + 3)*e^(-4*x) - 5/8*x + 1/64*e^(4*x) - 1/12*I*e^(3*x) - 1/8*e^(2*x) - 1/4*I*e^x","A",0
172,1,35,0,0.357444," ","integrate(cosh(x)^5/(I+sinh(x))^2,x, algorithm=""giac"")","\frac{1}{24} \, {\left(15 \, e^{\left(2 \, x\right)} - 6 i \, e^{x} - 1\right)} e^{\left(-3 \, x\right)} + \frac{1}{24} \, e^{\left(3 \, x\right)} - \frac{1}{4} i \, e^{\left(2 \, x\right)} - \frac{5}{8} \, e^{x}"," ",0,"1/24*(15*e^(2*x) - 6*I*e^x - 1)*e^(-3*x) + 1/24*e^(3*x) - 1/4*I*e^(2*x) - 5/8*e^x","B",0
173,1,26,0,0.492256," ","integrate(cosh(x)^4/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{1}{8} \, {\left(8 i \, e^{x} + 1\right)} e^{\left(-2 \, x\right)} - \frac{3}{2} \, x + \frac{1}{8} \, e^{\left(2 \, x\right)} - i \, e^{x}"," ",0,"-1/8*(8*I*e^x + 1)*e^(-2*x) - 3/2*x + 1/8*e^(2*x) - I*e^x","A",0
174,1,21,0,0.162803," ","integrate(cosh(x)^3/(I+sinh(x))^2,x, algorithm=""giac"")","2 i \, x - \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x} - 4 i \, \log\left(e^{x} + i\right)"," ",0,"2*I*x - 1/2*e^(-x) + 1/2*e^x - 4*I*log(e^x + I)","B",0
175,1,10,0,0.168663," ","integrate(cosh(x)^2/(I+sinh(x))^2,x, algorithm=""giac"")","x + \frac{4 i}{e^{x} + i}"," ",0,"x + 4*I/(e^x + I)","A",0
176,1,10,0,0.140558," ","integrate(cosh(x)/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{2 \, e^{x}}{{\left(e^{x} + i\right)}^{2}}"," ",0,"-2*e^x/(e^x + I)^2","A",0
177,1,70,0,0.157156," ","integrate(sech(x)/(I+sinh(x))^2,x, algorithm=""giac"")","\frac{3 i \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 20 \, e^{\left(-x\right)} - 20 \, e^{x} - 44 i}{16 \, {\left(e^{\left(-x\right)} - e^{x} - 2 i\right)}^{2}} - \frac{1}{8} i \, \log\left(i \, e^{\left(-x\right)} - i \, e^{x} + 2\right) + \frac{1}{8} i \, \log\left(i \, e^{\left(-x\right)} - i \, e^{x} - 2\right)"," ",0,"1/16*(3*I*(e^(-x) - e^x)^2 + 20*e^(-x) - 20*e^x - 44*I)/(e^(-x) - e^x - 2*I)^2 - 1/8*I*log(I*e^(-x) - I*e^x + 2) + 1/8*I*log(I*e^(-x) - I*e^x - 2)","B",0
178,1,41,0,0.202780," ","integrate(sech(x)^2/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{i}{4 \, {\left(e^{x} - i\right)}} - \frac{-5 i \, e^{\left(4 \, x\right)} + 30 \, e^{\left(3 \, x\right)} + 80 i \, e^{\left(2 \, x\right)} - 50 \, e^{x} - 11 i}{20 \, {\left(e^{x} + i\right)}^{5}}"," ",0,"-1/4*I/(e^x - I) - 1/20*(-5*I*e^(4*x) + 30*e^(3*x) + 80*I*e^(2*x) - 50*e^x - 11*I)/(e^x + I)^5","A",0
179,1,105,0,0.432719," ","integrate(sech(x)^3/(I+sinh(x))^2,x, algorithm=""giac"")","\frac{-i \, e^{\left(-x\right)} + i \, e^{x} + 3}{8 \, {\left(e^{\left(-x\right)} - e^{x} + 2 i\right)}} + \frac{11 i \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} + 84 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} - 228 i \, e^{\left(-x\right)} + 228 i \, e^{x} - 240}{48 \, {\left(e^{\left(-x\right)} - e^{x} - 2 i\right)}^{3}} - \frac{1}{8} i \, \log\left(-e^{\left(-x\right)} + e^{x} + 2 i\right) + \frac{1}{8} i \, \log\left(-e^{\left(-x\right)} + e^{x} - 2 i\right)"," ",0,"1/8*(-I*e^(-x) + I*e^x + 3)/(e^(-x) - e^x + 2*I) + 1/48*(11*I*(e^(-x) - e^x)^3 + 84*(e^(-x) - e^x)^2 - 228*I*e^(-x) + 228*I*e^x - 240)/(e^(-x) - e^x - 2*I)^3 - 1/8*I*log(-e^(-x) + e^x + 2*I) + 1/8*I*log(-e^(-x) + e^x - 2*I)","B",0
180,1,65,0,0.226679," ","integrate(sech(x)^4/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{6 i \, e^{\left(2 \, x\right)} + 15 \, e^{x} - 7 i}{24 \, {\left(e^{x} - i\right)}^{3}} - \frac{-42 i \, e^{\left(6 \, x\right)} + 315 \, e^{\left(5 \, x\right)} + 1015 i \, e^{\left(4 \, x\right)} - 1750 \, e^{\left(3 \, x\right)} - 1344 i \, e^{\left(2 \, x\right)} + 511 \, e^{x} + 79 i}{168 \, {\left(e^{x} + i\right)}^{7}}"," ",0,"-1/24*(6*I*e^(2*x) + 15*e^x - 7*I)/(e^x - I)^3 - 1/168*(-42*I*e^(6*x) + 315*e^(5*x) + 1015*I*e^(4*x) - 1750*e^(3*x) - 1344*I*e^(2*x) + 511*e^x + 79*I)/(e^x + I)^7","A",0
181,1,27,0,0.192706," ","integrate(cosh(x)^3/(1+I*sinh(x))^3,x, algorithm=""giac"")","\frac{4 \, e^{x}}{{\left(e^{x} - i\right)}^{2}} - i \, \log\left(i \, e^{x}\right) + 2 i \, \log\left(-i \, e^{x} - 1\right)"," ",0,"4*e^x/(e^x - I)^2 - I*log(I*e^x) + 2*I*log(-I*e^x - 1)","A",0
182,1,16,0,0.212950," ","integrate(cosh(x)^2/(1+I*sinh(x))^3,x, algorithm=""giac"")","-\frac{6 i \, e^{\left(2 \, x\right)} - 2 i}{3 \, {\left(e^{x} - i\right)}^{3}}"," ",0,"-1/3*(6*I*e^(2*x) - 2*I)/(e^x - I)^3","A",0
183,1,12,0,0.365618," ","integrate(cosh(x)/(1+I*sinh(x))^3,x, algorithm=""giac"")","-\frac{2 i \, e^{\left(2 \, x\right)}}{{\left(e^{x} - i\right)}^{4}}"," ",0,"-2*I*e^(2*x)/(e^x - I)^4","A",0
184,1,27,0,0.468300," ","integrate(cosh(x)^3/(1-I*sinh(x))^3,x, algorithm=""giac"")","\frac{4 \, e^{x}}{{\left(e^{x} + i\right)}^{2}} + i \, \log\left(-i \, e^{x}\right) - 2 i \, \log\left(i \, e^{x} - 1\right)"," ",0,"4*e^x/(e^x + I)^2 + I*log(-I*e^x) - 2*I*log(I*e^x - 1)","A",0
185,1,16,0,0.149762," ","integrate(cosh(x)^2/(1-I*sinh(x))^3,x, algorithm=""giac"")","-\frac{-6 i \, e^{\left(2 \, x\right)} + 2 i}{3 \, {\left(e^{x} + i\right)}^{3}}"," ",0,"-1/3*(-6*I*e^(2*x) + 2*I)/(e^x + I)^3","A",0
186,1,12,0,0.191524," ","integrate(cosh(x)/(1-I*sinh(x))^3,x, algorithm=""giac"")","\frac{2 i \, e^{\left(2 \, x\right)}}{{\left(e^{x} + i\right)}^{4}}"," ",0,"2*I*e^(2*x)/(e^x + I)^4","A",0
187,1,254,0,0.228430," ","integrate(cosh(x)^7/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{5 \, b^{5} {\left(e^{\left(-x\right)} - e^{x}\right)}^{6} + 12 \, a b^{4} {\left(e^{\left(-x\right)} - e^{x}\right)}^{5} + 30 \, a^{2} b^{3} {\left(e^{\left(-x\right)} - e^{x}\right)}^{4} + 90 \, b^{5} {\left(e^{\left(-x\right)} - e^{x}\right)}^{4} + 80 \, a^{3} b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} + 240 \, a b^{4} {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} + 240 \, a^{4} b {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 720 \, a^{2} b^{3} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 720 \, b^{5} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 960 \, a^{5} {\left(e^{\left(-x\right)} - e^{x}\right)} + 2880 \, a^{3} b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)} + 2880 \, a b^{4} {\left(e^{\left(-x\right)} - e^{x}\right)}}{1920 \, b^{6}} + \frac{{\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{b^{7}}"," ",0,"1/1920*(5*b^5*(e^(-x) - e^x)^6 + 12*a*b^4*(e^(-x) - e^x)^5 + 30*a^2*b^3*(e^(-x) - e^x)^4 + 90*b^5*(e^(-x) - e^x)^4 + 80*a^3*b^2*(e^(-x) - e^x)^3 + 240*a*b^4*(e^(-x) - e^x)^3 + 240*a^4*b*(e^(-x) - e^x)^2 + 720*a^2*b^3*(e^(-x) - e^x)^2 + 720*b^5*(e^(-x) - e^x)^2 + 960*a^5*(e^(-x) - e^x) + 2880*a^3*b^2*(e^(-x) - e^x) + 2880*a*b^4*(e^(-x) - e^x))/b^6 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*log(abs(-b*(e^(-x) - e^x) + 2*a))/b^7","A",0
188,1,288,0,0.470220," ","integrate(cosh(x)^6/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{6 \, b^{4} e^{\left(5 \, x\right)} - 15 \, a b^{3} e^{\left(4 \, x\right)} + 40 \, a^{2} b^{2} e^{\left(3 \, x\right)} + 70 \, b^{4} e^{\left(3 \, x\right)} - 120 \, a^{3} b e^{\left(2 \, x\right)} - 240 \, a b^{3} e^{\left(2 \, x\right)} + 480 \, a^{4} e^{x} + 1080 \, a^{2} b^{2} e^{x} + 660 \, b^{4} e^{x}}{960 \, b^{5}} - \frac{{\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x}{8 \, b^{6}} + \frac{{\left(15 \, a b^{4} e^{x} + 6 \, b^{5} + 60 \, {\left(8 \, a^{4} b + 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} e^{\left(4 \, x\right)} + 120 \, {\left(a^{3} b^{2} + 2 \, a b^{4}\right)} e^{\left(3 \, x\right)} + 10 \, {\left(4 \, a^{2} b^{3} + 7 \, b^{5}\right)} e^{\left(2 \, x\right)}\right)} e^{\left(-5 \, x\right)}}{960 \, b^{6}} + \frac{{\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} b^{6}}"," ",0,"1/960*(6*b^4*e^(5*x) - 15*a*b^3*e^(4*x) + 40*a^2*b^2*e^(3*x) + 70*b^4*e^(3*x) - 120*a^3*b*e^(2*x) - 240*a*b^3*e^(2*x) + 480*a^4*e^x + 1080*a^2*b^2*e^x + 660*b^4*e^x)/b^5 - 1/8*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*x/b^6 + 1/960*(15*a*b^4*e^x + 6*b^5 + 60*(8*a^4*b + 18*a^2*b^3 + 11*b^5)*e^(4*x) + 120*(a^3*b^2 + 2*a*b^4)*e^(3*x) + 10*(4*a^2*b^3 + 7*b^5)*e^(2*x))*e^(-5*x)/b^6 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^6)","B",0
189,1,139,0,0.493643," ","integrate(cosh(x)^5/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{3 \, b^{3} {\left(e^{\left(-x\right)} - e^{x}\right)}^{4} + 8 \, a b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} + 24 \, a^{2} b {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 48 \, b^{3} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 96 \, a^{3} {\left(e^{\left(-x\right)} - e^{x}\right)} + 192 \, a b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)}}{192 \, b^{4}} + \frac{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{b^{5}}"," ",0,"1/192*(3*b^3*(e^(-x) - e^x)^4 + 8*a*b^2*(e^(-x) - e^x)^3 + 24*a^2*b*(e^(-x) - e^x)^2 + 48*b^3*(e^(-x) - e^x)^2 + 96*a^3*(e^(-x) - e^x) + 192*a*b^2*(e^(-x) - e^x))/b^4 + (a^4 + 2*a^2*b^2 + b^4)*log(abs(-b*(e^(-x) - e^x) + 2*a))/b^5","A",0
190,1,168,0,0.229699," ","integrate(cosh(x)^4/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{b^{2} e^{\left(3 \, x\right)} - 3 \, a b e^{\left(2 \, x\right)} + 12 \, a^{2} e^{x} + 15 \, b^{2} e^{x}}{24 \, b^{3}} - \frac{{\left(2 \, a^{3} + 3 \, a b^{2}\right)} x}{2 \, b^{4}} + \frac{{\left(3 \, a b^{2} e^{x} + b^{3} + 3 \, {\left(4 \, a^{2} b + 5 \, b^{3}\right)} e^{\left(2 \, x\right)}\right)} e^{\left(-3 \, x\right)}}{24 \, b^{4}} + \frac{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} b^{4}}"," ",0,"1/24*(b^2*e^(3*x) - 3*a*b*e^(2*x) + 12*a^2*e^x + 15*b^2*e^x)/b^3 - 1/2*(2*a^3 + 3*a*b^2)*x/b^4 + 1/24*(3*a*b^2*e^x + b^3 + 3*(4*a^2*b + 5*b^3)*e^(2*x))*e^(-3*x)/b^4 + (a^4 + 2*a^2*b^2 + b^4)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^4)","A",0
191,1,61,0,0.187747," ","integrate(cosh(x)^3/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{b {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4 \, a {\left(e^{\left(-x\right)} - e^{x}\right)}}{8 \, b^{2}} + \frac{{\left(a^{2} + b^{2}\right)} \log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{b^{3}}"," ",0,"1/8*(b*(e^(-x) - e^x)^2 + 4*a*(e^(-x) - e^x))/b^2 + (a^2 + b^2)*log(abs(-b*(e^(-x) - e^x) + 2*a))/b^3","A",0
192,1,83,0,0.222233," ","integrate(cosh(x)^2/(a+b*sinh(x)),x, algorithm=""giac"")","-\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{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{b^{2}}"," ",0,"-a*x/b^2 + 1/2*e^(-x)/b + 1/2*e^x/b + sqrt(a^2 + b^2)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/b^2","A",0
193,1,22,0,0.220810," ","integrate(cosh(x)/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{\log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{b}"," ",0,"log(abs(-b*(e^(-x) - e^x) + 2*a))/b","A",0
194,1,89,0,0.178412," ","integrate(sech(x)/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{b^{2} \log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{a^{2} b + b^{3}} + \frac{{\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} a}{2 \, {\left(a^{2} + b^{2}\right)}} - \frac{b \log\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}{2 \, {\left(a^{2} + b^{2}\right)}}"," ",0,"b^2*log(abs(-b*(e^(-x) - e^x) + 2*a))/(a^2*b + b^3) + 1/2*(pi + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))*a/(a^2 + b^2) - 1/2*b*log((e^(-x) - e^x)^2 + 4)/(a^2 + b^2)","A",0
195,1,87,0,0.177108," ","integrate(sech(x)^2/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{b^{2} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, {\left(b e^{x} - a\right)}}{{\left(a^{2} + b^{2}\right)} {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"b^2*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(a^2 + b^2)^(3/2) + 2*(b*e^x - a)/((a^2 + b^2)*(e^(2*x) + 1))","A",0
196,1,214,0,0.194509," ","integrate(sech(x)^3/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{b^{4} \log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{a^{4} b + 2 \, a^{2} b^{3} + b^{5}} - \frac{b^{3} \log\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}{2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)}} + \frac{{\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} {\left(a^{3} + 3 \, a b^{2}\right)}}{4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)}} + \frac{b^{3} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} - 2 \, a^{3} {\left(e^{\left(-x\right)} - e^{x}\right)} - 2 \, a b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)} + 4 \, a^{2} b + 8 \, b^{3}}{2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} {\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}}"," ",0,"b^4*log(abs(-b*(e^(-x) - e^x) + 2*a))/(a^4*b + 2*a^2*b^3 + b^5) - 1/2*b^3*log((e^(-x) - e^x)^2 + 4)/(a^4 + 2*a^2*b^2 + b^4) + 1/4*(pi + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))*(a^3 + 3*a*b^2)/(a^4 + 2*a^2*b^2 + b^4) + 1/2*(b^3*(e^(-x) - e^x)^2 - 2*a^3*(e^(-x) - e^x) - 2*a*b^2*(e^(-x) - e^x) + 4*a^2*b + 8*b^3)/((a^4 + 2*a^2*b^2 + b^4)*((e^(-x) - e^x)^2 + 4))","B",0
197,1,180,0,0.470404," ","integrate(sech(x)^4/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{b^{4} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}}} + \frac{2 \, {\left(3 \, b^{3} e^{\left(5 \, x\right)} - 3 \, a b^{2} e^{\left(4 \, x\right)} + 4 \, a^{2} b e^{\left(3 \, x\right)} + 10 \, b^{3} e^{\left(3 \, x\right)} - 6 \, a^{3} e^{\left(2 \, x\right)} - 12 \, a b^{2} e^{\left(2 \, x\right)} + 3 \, b^{3} e^{x} - 2 \, a^{3} - 5 \, a b^{2}\right)}}{3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}}"," ",0,"b^4*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)) + 2/3*(3*b^3*e^(5*x) - 3*a*b^2*e^(4*x) + 4*a^2*b*e^(3*x) + 10*b^3*e^(3*x) - 6*a^3*e^(2*x) - 12*a*b^2*e^(2*x) + 3*b^3*e^x - 2*a^3 - 5*a*b^2)/((a^4 + 2*a^2*b^2 + b^4)*(e^(2*x) + 1)^3)","A",0
198,1,369,0,0.389698," ","integrate(sech(x)^5/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{b^{6} \log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}} - \frac{b^{5} \log\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}{2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)}} + \frac{{\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} {\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)}}{16 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)}} + \frac{3 \, b^{5} {\left(e^{\left(-x\right)} - e^{x}\right)}^{4} - 3 \, a^{5} {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} - 10 \, a^{3} b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} - 7 \, a b^{4} {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} + 8 \, a^{2} b^{3} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 32 \, b^{5} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} - 20 \, a^{5} {\left(e^{\left(-x\right)} - e^{x}\right)} - 56 \, a^{3} b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)} - 36 \, a b^{4} {\left(e^{\left(-x\right)} - e^{x}\right)} + 16 \, a^{4} b + 64 \, a^{2} b^{3} + 96 \, b^{5}}{4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} {\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}^{2}}"," ",0,"b^6*log(abs(-b*(e^(-x) - e^x) + 2*a))/(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7) - 1/2*b^5*log((e^(-x) - e^x)^2 + 4)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + 1/16*(pi + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + 1/4*(3*b^5*(e^(-x) - e^x)^4 - 3*a^5*(e^(-x) - e^x)^3 - 10*a^3*b^2*(e^(-x) - e^x)^3 - 7*a*b^4*(e^(-x) - e^x)^3 + 8*a^2*b^3*(e^(-x) - e^x)^2 + 32*b^5*(e^(-x) - e^x)^2 - 20*a^5*(e^(-x) - e^x) - 56*a^3*b^2*(e^(-x) - e^x) - 36*a*b^4*(e^(-x) - e^x) + 16*a^4*b + 64*a^2*b^3 + 96*b^5)/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*((e^(-x) - e^x)^2 + 4)^2)","B",0
199,1,323,0,0.185395," ","integrate(sech(x)^6/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{b^{6} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\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(9 \, x\right)} - 15 \, a b^{4} e^{\left(8 \, x\right)} + 20 \, a^{2} b^{3} e^{\left(7 \, x\right)} + 80 \, b^{5} e^{\left(7 \, x\right)} - 30 \, a^{3} b^{2} e^{\left(6 \, x\right)} - 90 \, a b^{4} e^{\left(6 \, x\right)} + 48 \, a^{4} b e^{\left(5 \, x\right)} + 136 \, a^{2} b^{3} e^{\left(5 \, x\right)} + 178 \, b^{5} e^{\left(5 \, x\right)} - 80 \, a^{5} e^{\left(4 \, x\right)} - 230 \, a^{3} b^{2} e^{\left(4 \, x\right)} - 240 \, a b^{4} e^{\left(4 \, x\right)} + 20 \, a^{2} b^{3} e^{\left(3 \, x\right)} + 80 \, b^{5} e^{\left(3 \, x\right)} - 40 \, a^{5} e^{\left(2 \, x\right)} - 130 \, a^{3} b^{2} e^{\left(2 \, x\right)} - 150 \, a b^{4} e^{\left(2 \, x\right)} + 15 \, b^{5} e^{x} - 8 \, a^{5} - 26 \, a^{3} b^{2} - 33 \, a b^{4}\right)}}{15 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} {\left(e^{\left(2 \, x\right)} + 1\right)}^{5}}"," ",0,"b^6*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sqrt(a^2 + b^2)) + 2/15*(15*b^5*e^(9*x) - 15*a*b^4*e^(8*x) + 20*a^2*b^3*e^(7*x) + 80*b^5*e^(7*x) - 30*a^3*b^2*e^(6*x) - 90*a*b^4*e^(6*x) + 48*a^4*b*e^(5*x) + 136*a^2*b^3*e^(5*x) + 178*b^5*e^(5*x) - 80*a^5*e^(4*x) - 230*a^3*b^2*e^(4*x) - 240*a*b^4*e^(4*x) + 20*a^2*b^3*e^(3*x) + 80*b^5*e^(3*x) - 40*a^5*e^(2*x) - 130*a^3*b^2*e^(2*x) - 150*a*b^4*e^(2*x) + 15*b^5*e^x - 8*a^5 - 26*a^3*b^2 - 33*a*b^4)/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*(e^(2*x) + 1)^5)","B",0
200,1,178,0,0.184929," ","integrate(cosh(x)^4/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{3 \, {\left(2 \, a^{2} + b^{2}\right)} x}{2 \, b^{4}} - \frac{3 \, {\left(a^{3} + a b^{2}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} b^{4}} + \frac{b^{2} e^{\left(2 \, x\right)} - 8 \, a b e^{x}}{8 \, b^{4}} + \frac{{\left(6 \, a b^{2} e^{x} + b^{3} + 8 \, {\left(2 \, a^{3} + a b^{2}\right)} e^{\left(3 \, x\right)} - {\left(32 \, a^{2} b + 17 \, b^{3}\right)} e^{\left(2 \, x\right)}\right)} e^{\left(-2 \, x\right)}}{8 \, {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)} b^{4}}"," ",0,"3/2*(2*a^2 + b^2)*x/b^4 - 3*(a^3 + a*b^2)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^4) + 1/8*(b^2*e^(2*x) - 8*a*b*e^x)/b^4 + 1/8*(6*a*b^2*e^x + b^3 + 8*(2*a^3 + a*b^2)*e^(3*x) - (32*a^2*b + 17*b^3)*e^(2*x))*e^(-2*x)/((b*e^(2*x) + 2*a*e^x - b)*b^4)","B",0
201,1,82,0,0.235545," ","integrate(cosh(x)^3/(a+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{e^{\left(-x\right)} - e^{x}}{2 \, b^{2}} - \frac{2 \, a \log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{b^{3}} + \frac{2 \, {\left(a b {\left(e^{\left(-x\right)} - e^{x}\right)} - a^{2} + b^{2}\right)}}{{\left(b {\left(e^{\left(-x\right)} - e^{x}\right)} - 2 \, a\right)} b^{3}}"," ",0,"-1/2*(e^(-x) - e^x)/b^2 - 2*a*log(abs(-b*(e^(-x) - e^x) + 2*a))/b^3 + 2*(a*b*(e^(-x) - e^x) - a^2 + b^2)/((b*(e^(-x) - e^x) - 2*a)*b^3)","B",0
202,1,97,0,0.227864," ","integrate(cosh(x)^2/(a+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{a \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} b^{2}} + \frac{x}{b^{2}} + \frac{2 \, {\left(a e^{x} - b\right)}}{{\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)} b^{2}}"," ",0,"-a*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^2) + x/b^2 + 2*(a*e^x - b)/((b*e^(2*x) + 2*a*e^x - b)*b^2)","A",0
203,1,22,0,0.341998," ","integrate(cosh(x)/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{2}{{\left(b {\left(e^{\left(-x\right)} - e^{x}\right)} - 2 \, a\right)} b}"," ",0,"2/((b*(e^(-x) - e^x) - 2*a)*b)","A",0
204,1,186,0,0.558821," ","integrate(sech(x)/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{2 \, a b^{2} \log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{a^{4} b + 2 \, a^{2} b^{3} + b^{5}} - \frac{a b \log\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{{\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} {\left(a^{2} - b^{2}\right)}}{2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)}} - \frac{2 \, {\left(a b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)} - 3 \, a^{2} b - b^{3}\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} {\left(b {\left(e^{\left(-x\right)} - e^{x}\right)} - 2 \, a\right)}}"," ",0,"2*a*b^2*log(abs(-b*(e^(-x) - e^x) + 2*a))/(a^4*b + 2*a^2*b^3 + b^5) - a*b*log((e^(-x) - e^x)^2 + 4)/(a^4 + 2*a^2*b^2 + b^4) + 1/2*(pi + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))*(a^2 - b^2)/(a^4 + 2*a^2*b^2 + b^4) - 2*(a*b^2*(e^(-x) - e^x) - 3*a^2*b - b^3)/((a^4 + 2*a^2*b^2 + b^4)*(b*(e^(-x) - e^x) - 2*a))","B",0
205,1,167,0,0.174196," ","integrate(sech(x)^2/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{3 \, a b^{2} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}}} + \frac{2 \, {\left(3 \, a b^{2} e^{\left(3 \, x\right)} + 3 \, a^{2} b e^{\left(2 \, x\right)} - 2 \, a^{3} e^{x} + a b^{2} e^{x} + a^{2} b - 2 \, b^{3}\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} {\left(b e^{\left(4 \, x\right)} + 2 \, a e^{\left(3 \, x\right)} + 2 \, a e^{x} - b\right)}}"," ",0,"3*a*b^2*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)) + 2*(3*a*b^2*e^(3*x) + 3*a^2*b*e^(2*x) - 2*a^3*e^x + a*b^2*e^x + a^2*b - 2*b^3)/((a^4 + 2*a^2*b^2 + b^4)*(b*e^(4*x) + 2*a*e^(3*x) + 2*a*e^x - b))","A",0
206,1,295,0,0.182930," ","integrate(sech(x)^3/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{4 \, a b^{4} \log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}} - \frac{2 \, a b^{3} \log\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} + \frac{{\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} {\left(a^{4} + 6 \, a^{2} b^{2} - 3 \, b^{4}\right)}}{4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)}} - \frac{a^{2} b {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} - 3 \, b^{3} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} - 2 \, a^{3} {\left(e^{\left(-x\right)} - e^{x}\right)} - 2 \, a b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)} + 8 \, a^{2} b - 8 \, b^{3}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} {\left(b {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} - 2 \, a {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4 \, b {\left(e^{\left(-x\right)} - e^{x}\right)} - 8 \, a\right)}}"," ",0,"4*a*b^4*log(abs(-b*(e^(-x) - e^x) + 2*a))/(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7) - 2*a*b^3*log((e^(-x) - e^x)^2 + 4)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + 1/4*(pi + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))*(a^4 + 6*a^2*b^2 - 3*b^4)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - (a^2*b*(e^(-x) - e^x)^2 - 3*b^3*(e^(-x) - e^x)^2 - 2*a^3*(e^(-x) - e^x) - 2*a*b^2*(e^(-x) - e^x) + 8*a^2*b - 8*b^3)/((a^4 + 2*a^2*b^2 + b^4)*(b*(e^(-x) - e^x)^3 - 2*a*(e^(-x) - e^x)^2 + 4*b*(e^(-x) - e^x) - 8*a))","B",0
207,1,287,0,0.263499," ","integrate(sech(x)^4/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{5 \, a b^{4} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \sqrt{a^{2} + b^{2}}} + \frac{2 \, {\left(a b^{4} e^{x} - b^{5}\right)}}{{\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)}} + \frac{2 \, {\left(12 \, a b^{3} e^{\left(5 \, x\right)} - 9 \, a^{2} b^{2} e^{\left(4 \, x\right)} + 3 \, b^{4} e^{\left(4 \, x\right)} + 8 \, a^{3} b e^{\left(3 \, x\right)} + 32 \, a b^{3} e^{\left(3 \, x\right)} - 6 \, a^{4} e^{\left(2 \, x\right)} - 18 \, a^{2} b^{2} e^{\left(2 \, x\right)} + 12 \, b^{4} e^{\left(2 \, x\right)} + 12 \, a b^{3} e^{x} - 2 \, a^{4} - 9 \, a^{2} b^{2} + 5 \, b^{4}\right)}}{3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}}"," ",0,"5*a*b^4*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sqrt(a^2 + b^2)) + 2*(a*b^4*e^x - b^5)/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*(b*e^(2*x) + 2*a*e^x - b)) + 2/3*(12*a*b^3*e^(5*x) - 9*a^2*b^2*e^(4*x) + 3*b^4*e^(4*x) + 8*a^3*b*e^(3*x) + 32*a*b^3*e^(3*x) - 6*a^4*e^(2*x) - 18*a^2*b^2*e^(2*x) + 12*b^4*e^(2*x) + 12*a*b^3*e^x - 2*a^4 - 9*a^2*b^2 + 5*b^4)/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*(e^(2*x) + 1)^3)","B",0
208,1,53,0,0.276647," ","integrate(tanh(x)^4/(I+sinh(x)),x, algorithm=""giac"")","-\frac{15 \, e^{\left(2 \, x\right)} - 24 i \, e^{x} - 13}{24 \, {\left(e^{x} - i\right)}^{3}} - \frac{165 \, e^{\left(4 \, x\right)} + 480 i \, e^{\left(3 \, x\right)} - 650 \, e^{\left(2 \, x\right)} - 400 i \, e^{x} + 113}{120 \, {\left(e^{x} + i\right)}^{5}}"," ",0,"-1/24*(15*e^(2*x) - 24*I*e^x - 13)/(e^x - I)^3 - 1/120*(165*e^(4*x) + 480*I*e^(3*x) - 650*e^(2*x) - 400*I*e^x + 113)/(e^x + I)^5","B",0
209,1,92,0,0.482222," ","integrate(tanh(x)^3/(I+sinh(x)),x, algorithm=""giac"")","\frac{3 i \, e^{\left(-x\right)} - 3 i \, e^{x} - 2}{16 \, {\left(e^{\left(-x\right)} - e^{x} + 2 i\right)}} - \frac{9 i \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4 \, e^{\left(-x\right)} - 4 \, e^{x} + 12 i}{32 \, {\left(e^{\left(-x\right)} - e^{x} - 2 i\right)}^{2}} + \frac{3}{16} i \, \log\left(-e^{\left(-x\right)} + e^{x} + 2 i\right) - \frac{3}{16} i \, \log\left(-e^{\left(-x\right)} + e^{x} - 2 i\right)"," ",0,"1/16*(3*I*e^(-x) - 3*I*e^x - 2)/(e^(-x) - e^x + 2*I) - 1/32*(9*I*(e^(-x) - e^x)^2 + 4*e^(-x) - 4*e^x + 12*I)/(e^(-x) - e^x - 2*I)^2 + 3/16*I*log(-e^(-x) + e^x + 2*I) - 3/16*I*log(-e^(-x) + e^x - 2*I)","B",0
210,1,29,0,0.196252," ","integrate(tanh(x)^2/(I+sinh(x)),x, algorithm=""giac"")","-\frac{1}{2 \, {\left(e^{x} - i\right)}} - \frac{9 \, e^{\left(2 \, x\right)} + 12 i \, e^{x} - 7}{6 \, {\left(e^{x} + i\right)}^{3}}"," ",0,"-1/2/(e^x - I) - 1/6*(9*e^(2*x) + 12*I*e^x - 7)/(e^x + I)^3","A",0
211,1,53,0,0.174894," ","integrate(tanh(x)/(I+sinh(x)),x, algorithm=""giac"")","\frac{-i \, e^{\left(-x\right)} + i \, e^{x} + 2}{4 \, {\left(e^{\left(-x\right)} - e^{x} - 2 i\right)}} + \frac{1}{4} i \, \log\left(-e^{\left(-x\right)} + e^{x} + 2 i\right) - \frac{1}{4} i \, \log\left(-e^{\left(-x\right)} + e^{x} - 2 i\right)"," ",0,"1/4*(-I*e^(-x) + I*e^x + 2)/(e^(-x) - e^x - 2*I) + 1/4*I*log(-e^(-x) + e^x + 2*I) - 1/4*I*log(-e^(-x) + e^x - 2*I)","B",0
212,1,23,0,0.235836," ","integrate(coth(x)/(I+sinh(x)),x, algorithm=""giac"")","-i \, \log\left(e^{x} + 1\right) + 2 i \, \log\left(e^{x} + i\right) - i \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-I*log(e^x + 1) + 2*I*log(e^x + I) - I*log(abs(e^x - 1))","A",0
213,1,24,0,0.546606," ","integrate(coth(x)^2/(I+sinh(x)),x, algorithm=""giac"")","\frac{2 i}{e^{\left(2 \, x\right)} - 1} - \log\left(e^{x} + 1\right) + \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"2*I/(e^(2*x) - 1) - log(e^x + 1) + log(abs(e^x - 1))","B",0
214,1,24,0,0.156630," ","integrate(coth(x)^3/(I+sinh(x)),x, algorithm=""giac"")","\frac{2 \, e^{\left(-x\right)} - 2 \, e^{x} + 2 i}{{\left(e^{\left(-x\right)} - e^{x}\right)}^{2}}"," ",0,"(2*e^(-x) - 2*e^x + 2*I)/(e^(-x) - e^x)^2","B",0
215,1,44,0,0.177014," ","integrate(coth(x)^4/(I+sinh(x)),x, algorithm=""giac"")","-\frac{3 \, e^{\left(5 \, x\right)} - 6 i \, e^{\left(4 \, x\right)} - 3 \, e^{x} - 2 i}{3 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}} - \frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/3*(3*e^(5*x) - 6*I*e^(4*x) - 3*e^x - 2*I)/(e^(2*x) - 1)^3 - 1/2*log(e^x + 1) + 1/2*log(abs(e^x - 1))","B",0
216,1,51,0,0.175598," ","integrate(coth(x)^5/(I+sinh(x)),x, algorithm=""giac"")","\frac{6 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} + 6 i \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 8 \, e^{\left(-x\right)} - 8 \, e^{x} + 12 i}{3 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{4}}"," ",0,"1/3*(6*(e^(-x) - e^x)^3 + 6*I*(e^(-x) - e^x)^2 + 8*e^(-x) - 8*e^x + 12*I)/(e^(-x) - e^x)^4","B",0
217,1,62,0,0.203390," ","integrate(coth(x)^6/(I+sinh(x)),x, algorithm=""giac"")","-\frac{25 \, e^{\left(9 \, x\right)} - 40 i \, e^{\left(8 \, x\right)} - 10 \, e^{\left(7 \, x\right)} - 80 i \, e^{\left(4 \, x\right)} + 10 \, e^{\left(3 \, x\right)} - 25 \, e^{x} - 8 i}{20 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{5}} - \frac{3}{8} \, \log\left(e^{x} + 1\right) + \frac{3}{8} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/20*(25*e^(9*x) - 40*I*e^(8*x) - 10*e^(7*x) - 80*I*e^(4*x) + 10*e^(3*x) - 25*e^x - 8*I)/(e^(2*x) - 1)^5 - 3/8*log(e^x + 1) + 3/8*log(abs(e^x - 1))","B",0
218,1,65,0,0.370235," ","integrate(tanh(x)^4/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{-6 i \, e^{\left(2 \, x\right)} - 9 \, e^{x} + 5 i}{24 \, {\left(e^{x} - i\right)}^{3}} - \frac{210 i \, e^{\left(6 \, x\right)} - 105 \, e^{\left(5 \, x\right)} + 175 i \, e^{\left(4 \, x\right)} - 910 \, e^{\left(3 \, x\right)} - 756 i \, e^{\left(2 \, x\right)} + 427 \, e^{x} + 31 i}{840 \, {\left(e^{x} + i\right)}^{7}}"," ",0,"-1/24*(-6*I*e^(2*x) - 9*e^x + 5*I)/(e^x - I)^3 - 1/840*(210*I*e^(6*x) - 105*e^(5*x) + 175*I*e^(4*x) - 910*e^(3*x) - 756*I*e^(2*x) + 427*e^x + 31*I)/(e^x + I)^7","B",0
219,1,102,0,0.180094," ","integrate(tanh(x)^3/(I+sinh(x))^2,x, algorithm=""giac"")","\frac{e^{\left(-x\right)} - e^{x}}{16 \, {\left(e^{\left(-x\right)} - e^{x} + 2 i\right)}} - \frac{11 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} - 102 i \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} - 180 \, e^{\left(-x\right)} + 180 \, e^{x} + 104 i}{96 \, {\left(e^{\left(-x\right)} - e^{x} - 2 i\right)}^{3}} + \frac{1}{16} \, \log\left(-e^{\left(-x\right)} + e^{x} + 2 i\right) - \frac{1}{16} \, \log\left(-e^{\left(-x\right)} + e^{x} - 2 i\right)"," ",0,"1/16*(e^(-x) - e^x)/(e^(-x) - e^x + 2*I) - 1/96*(11*(e^(-x) - e^x)^3 - 102*I*(e^(-x) - e^x)^2 - 180*e^(-x) + 180*e^x + 104*I)/(e^(-x) - e^x - 2*I)^3 + 1/16*log(-e^(-x) + e^x + 2*I) - 1/16*log(-e^(-x) + e^x - 2*I)","B",0
220,1,41,0,0.367075," ","integrate(tanh(x)^2/(I+sinh(x))^2,x, algorithm=""giac"")","\frac{i}{4 \, {\left(e^{x} - i\right)}} - \frac{15 i \, e^{\left(4 \, x\right)} + 30 \, e^{\left(3 \, x\right)} + 40 i \, e^{\left(2 \, x\right)} - 50 \, e^{x} - 7 i}{60 \, {\left(e^{x} + i\right)}^{5}}"," ",0,"1/4*I/(e^x - I) - 1/60*(15*I*e^(4*x) + 30*e^(3*x) + 40*I*e^(2*x) - 50*e^x - 7*I)/(e^x + I)^5","A",0
221,1,66,0,0.523281," ","integrate(tanh(x)/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{3 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} - 20 i \, e^{\left(-x\right)} + 20 i \, e^{x} - 12}{16 \, {\left(e^{\left(-x\right)} - e^{x} - 2 i\right)}^{2}} + \frac{1}{8} \, \log\left(-e^{\left(-x\right)} + e^{x} + 2 i\right) - \frac{1}{8} \, \log\left(-e^{\left(-x\right)} + e^{x} - 2 i\right)"," ",0,"-1/16*(3*(e^(-x) - e^x)^2 - 20*I*e^(-x) + 20*I*e^x - 12)/(e^(-x) - e^x - 2*I)^2 + 1/8*log(-e^(-x) + e^x + 2*I) - 1/8*log(-e^(-x) + e^x - 2*I)","B",0
222,1,33,0,0.156806," ","integrate(coth(x)/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{2 i \, e^{x}}{{\left(e^{x} + i\right)}^{2}} - \log\left(e^{x} + 1\right) + 2 \, \log\left(e^{x} + i\right) - \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-2*I*e^x/(e^x + I)^2 - log(e^x + 1) + 2*log(e^x + I) - log(abs(e^x - 1))","A",0
223,1,47,0,0.169820," ","integrate(coth(x)^2/(I+sinh(x))^2,x, algorithm=""giac"")","\frac{-4 i \, e^{\left(2 \, x\right)} + 2 \, e^{x} + 6 i}{e^{\left(3 \, x\right)} + i \, e^{\left(2 \, x\right)} - e^{x} - i} + 2 i \, \log\left(e^{x} + 1\right) - 2 i \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"(-4*I*e^(2*x) + 2*e^x + 6*I)/(e^(3*x) + I*e^(2*x) - e^x - I) + 2*I*log(e^x + 1) - 2*I*log(abs(e^x - 1))","B",0
224,1,53,0,0.202740," ","integrate(coth(x)^3/(I+sinh(x))^2,x, algorithm=""giac"")","\frac{4 i \, e^{\left(3 \, x\right)} + 2 \, e^{\left(2 \, x\right)} - 4 i \, e^{x}}{{\left(e^{x} + 1\right)}^{2} {\left(e^{x} - 1\right)}^{2}} + 2 \, \log\left(e^{x} + 1\right) - 4 \, \log\left(e^{x} + i\right) + 2 \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"(4*I*e^(3*x) + 2*e^(2*x) - 4*I*e^x)/((e^x + 1)^2*(e^x - 1)^2) + 2*log(e^x + 1) - 4*log(e^x + I) + 2*log(abs(e^x - 1))","B",0
225,1,50,0,0.158202," ","integrate(coth(x)^4/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{-6 i \, e^{\left(5 \, x\right)} + 6 \, e^{\left(4 \, x\right)} - 24 \, e^{\left(2 \, x\right)} + 6 i \, e^{x} + 10}{3 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}} - i \, \log\left(e^{x} + 1\right) + i \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/3*(-6*I*e^(5*x) + 6*e^(4*x) - 24*e^(2*x) + 6*I*e^x + 10)/(e^(2*x) - 1)^3 - I*log(e^x + 1) + I*log(abs(e^x - 1))","B",0
226,1,38,0,0.176305," ","integrate(coth(x)^5/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{6 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 16 i \, e^{\left(-x\right)} - 16 i \, e^{x} - 12}{3 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{4}}"," ",0,"-1/3*(6*(e^(-x) - e^x)^2 + 16*I*e^(-x) - 16*I*e^x - 12)/(e^(-x) - e^x)^4","A",0
227,1,74,0,0.187917," ","integrate(coth(x)^6/(I+sinh(x))^2,x, algorithm=""giac"")","-\frac{-15 i \, e^{\left(9 \, x\right)} + 60 \, e^{\left(8 \, x\right)} - 90 i \, e^{\left(7 \, x\right)} - 240 \, e^{\left(6 \, x\right)} + 40 \, e^{\left(4 \, x\right)} + 90 i \, e^{\left(3 \, x\right)} - 80 \, e^{\left(2 \, x\right)} + 15 i \, e^{x} + 28}{30 \, {\left(e^{\left(2 \, x\right)} - 1\right)}^{5}} - \frac{1}{4} i \, \log\left(e^{x} + 1\right) + \frac{1}{4} i \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/30*(-15*I*e^(9*x) + 60*e^(8*x) - 90*I*e^(7*x) - 240*e^(6*x) + 40*e^(4*x) + 90*I*e^(3*x) - 80*e^(2*x) + 15*I*e^x + 28)/(e^(2*x) - 1)^5 - 1/4*I*log(e^x + 1) + 1/4*I*log(abs(e^x - 1))","B",0
228,1,197,0,0.436922," ","integrate(tanh(x)^4/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{a^{4} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}}} - \frac{2 \, {\left(6 \, a^{2} b e^{\left(5 \, x\right)} + 3 \, b^{3} e^{\left(5 \, x\right)} - 6 \, a^{3} e^{\left(4 \, x\right)} - 3 \, a b^{2} e^{\left(4 \, x\right)} + 8 \, a^{2} b e^{\left(3 \, x\right)} + 2 \, b^{3} e^{\left(3 \, x\right)} - 6 \, a^{3} e^{\left(2 \, x\right)} + 6 \, a^{2} b e^{x} + 3 \, b^{3} e^{x} - 4 \, a^{3} - a b^{2}\right)}}{3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}}"," ",0,"a^4*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)) - 2/3*(6*a^2*b*e^(5*x) + 3*b^3*e^(5*x) - 6*a^3*e^(4*x) - 3*a*b^2*e^(4*x) + 8*a^2*b*e^(3*x) + 2*b^3*e^(3*x) - 6*a^3*e^(2*x) + 6*a^2*b*e^x + 3*b^3*e^x - 4*a^3 - a*b^2)/((a^4 + 2*a^2*b^2 + b^4)*(e^(2*x) + 1)^3)","A",0
229,1,211,0,0.185580," ","integrate(tanh(x)^3/(a+b*sinh(x)),x, algorithm=""giac"")","-\frac{a^{3} b \log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{a^{4} b + 2 \, a^{2} b^{3} + b^{5}} + \frac{a^{3} \log\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}{2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)}} + \frac{{\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} {\left(3 \, a^{2} b + b^{3}\right)}}{4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)}} - \frac{a^{3} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} - 2 \, a^{2} b {\left(e^{\left(-x\right)} - e^{x}\right)} - 2 \, b^{3} {\left(e^{\left(-x\right)} - e^{x}\right)} - 4 \, a b^{2}}{2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} {\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}}"," ",0,"-a^3*b*log(abs(-b*(e^(-x) - e^x) + 2*a))/(a^4*b + 2*a^2*b^3 + b^5) + 1/2*a^3*log((e^(-x) - e^x)^2 + 4)/(a^4 + 2*a^2*b^2 + b^4) + 1/4*(pi + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))*(3*a^2*b + b^3)/(a^4 + 2*a^2*b^2 + b^4) - 1/2*(a^3*(e^(-x) - e^x)^2 - 2*a^2*b*(e^(-x) - e^x) - 2*b^3*(e^(-x) - e^x) - 4*a*b^2)/((a^4 + 2*a^2*b^2 + b^4)*((e^(-x) - e^x)^2 + 4))","B",0
230,1,87,0,0.171118," ","integrate(tanh(x)^2/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{a^{2} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}}} - \frac{2 \, {\left(b e^{x} - a\right)}}{{\left(a^{2} + b^{2}\right)} {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"a^2*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(a^2 + b^2)^(3/2) - 2*(b*e^x - a)/((a^2 + b^2)*(e^(2*x) + 1))","A",0
231,1,89,0,0.274844," ","integrate(tanh(x)/(a+b*sinh(x)),x, algorithm=""giac"")","-\frac{a b \log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{a^{2} b + b^{3}} + \frac{{\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} b}{2 \, {\left(a^{2} + b^{2}\right)}} + \frac{a \log\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}{2 \, {\left(a^{2} + b^{2}\right)}}"," ",0,"-a*b*log(abs(-b*(e^(-x) - e^x) + 2*a))/(a^2*b + b^3) + 1/2*(pi + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))*b/(a^2 + b^2) + 1/2*a*log((e^(-x) - e^x)^2 + 4)/(a^2 + b^2)","A",0
232,1,39,0,0.201502," ","integrate(coth(x)/(a+b*sinh(x)),x, algorithm=""giac"")","-\frac{\log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{a} + \frac{\log\left({\left| -e^{\left(-x\right)} + e^{x} \right|}\right)}{a}"," ",0,"-log(abs(-b*(e^(-x) - e^x) + 2*a))/a + log(abs(-e^(-x) + e^x))/a","A",0
233,1,95,0,0.497435," ","integrate(coth(x)^2/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{b \log\left(e^{x} + 1\right)}{a^{2}} - \frac{b \log\left({\left| e^{x} - 1 \right|}\right)}{a^{2}} + \frac{\sqrt{a^{2} + b^{2}} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{a^{2}} - \frac{2}{a {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"b*log(e^x + 1)/a^2 - b*log(abs(e^x - 1))/a^2 + sqrt(a^2 + b^2)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/a^2 - 2/(a*(e^(2*x) - 1))","A",0
234,1,125,0,0.270418," ","integrate(coth(x)^3/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{{\left(a^{2} + b^{2}\right)} \log\left({\left| -e^{\left(-x\right)} + e^{x} \right|}\right)}{a^{3}} - \frac{{\left(a^{2} b + b^{3}\right)} \log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{a^{3} b} - \frac{3 \, a^{2} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 3 \, b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4 \, a b {\left(e^{\left(-x\right)} - e^{x}\right)} + 4 \, a^{2}}{2 \, a^{3} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2}}"," ",0,"(a^2 + b^2)*log(abs(-e^(-x) + e^x))/a^3 - (a^2*b + b^3)*log(abs(-b*(e^(-x) - e^x) + 2*a))/(a^3*b) - 1/2*(3*a^2*(e^(-x) - e^x)^2 + 3*b^2*(e^(-x) - e^x)^2 + 4*a*b*(e^(-x) - e^x) + 4*a^2)/(a^3*(e^(-x) - e^x)^2)","B",0
235,1,194,0,0.455937," ","integrate(coth(x)^4/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{{\left(3 \, a^{2} b + 2 \, b^{3}\right)} \log\left(e^{x} + 1\right)}{2 \, a^{4}} - \frac{{\left(3 \, a^{2} b + 2 \, b^{3}\right)} \log\left({\left| e^{x} - 1 \right|}\right)}{2 \, a^{4}} + \frac{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} a^{4}} + \frac{3 \, a b e^{\left(5 \, x\right)} - 12 \, a^{2} e^{\left(4 \, x\right)} - 6 \, b^{2} e^{\left(4 \, x\right)} + 12 \, a^{2} e^{\left(2 \, x\right)} + 12 \, b^{2} e^{\left(2 \, x\right)} - 3 \, a b e^{x} - 8 \, a^{2} - 6 \, b^{2}}{3 \, a^{3} {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"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(abs(e^x - 1))/a^4 + (a^4 + 2*a^2*b^2 + b^4)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^4) + 1/3*(3*a*b*e^(5*x) - 12*a^2*e^(4*x) - 6*b^2*e^(4*x) + 12*a^2*e^(2*x) + 12*b^2*e^(2*x) - 3*a*b*e^x - 8*a^2 - 6*b^2)/(a^3*(e^(2*x) - 1)^3)","B",0
236,1,292,0,0.538676," ","integrate(tanh(x)^4/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{{\left(a^{5} - 4 \, a^{3} b^{2}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \sqrt{a^{2} + b^{2}}} + \frac{2 \, {\left(a^{5} e^{x} - a^{4} b\right)}}{{\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)}} - \frac{2 \, {\left(12 \, a^{3} b e^{\left(5 \, x\right)} - 6 \, a^{4} e^{\left(4 \, x\right)} + 9 \, a^{2} b^{2} e^{\left(4 \, x\right)} + 3 \, b^{4} e^{\left(4 \, x\right)} + 16 \, a^{3} b e^{\left(3 \, x\right)} - 8 \, a b^{3} e^{\left(3 \, x\right)} - 6 \, a^{4} e^{\left(2 \, x\right)} + 18 \, a^{2} b^{2} e^{\left(2 \, x\right)} + 12 \, a^{3} b e^{x} - 4 \, a^{4} + 9 \, a^{2} b^{2} + b^{4}\right)}}{3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}}"," ",0,"(a^5 - 4*a^3*b^2)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sqrt(a^2 + b^2)) + 2*(a^5*e^x - a^4*b)/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*(b*e^(2*x) + 2*a*e^x - b)) - 2/3*(12*a^3*b*e^(5*x) - 6*a^4*e^(4*x) + 9*a^2*b^2*e^(4*x) + 3*b^4*e^(4*x) + 16*a^3*b*e^(3*x) - 8*a*b^3*e^(3*x) - 6*a^4*e^(2*x) + 18*a^2*b^2*e^(2*x) + 12*a^3*b*e^x - 4*a^4 + 9*a^2*b^2 + b^4)/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*(e^(2*x) + 1)^3)","A",0
237,1,307,0,0.446621," ","integrate(tanh(x)^3/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{{\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} {\left(3 \, a^{3} b - a b^{3}\right)}}{2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)}} + \frac{{\left(a^{4} - 3 \, a^{2} b^{2}\right)} \log\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}{2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)}} - \frac{{\left(a^{4} b - 3 \, a^{2} b^{3}\right)} \log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}} - \frac{2 \, {\left(a^{3} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} - a b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + a^{2} b {\left(e^{\left(-x\right)} - e^{x}\right)} + b^{3} {\left(e^{\left(-x\right)} - e^{x}\right)} + 6 \, a^{3} - 2 \, a b^{2}\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} {\left(b {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} - 2 \, a {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4 \, b {\left(e^{\left(-x\right)} - e^{x}\right)} - 8 \, a\right)}}"," ",0,"1/2*(pi + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))*(3*a^3*b - a*b^3)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + 1/2*(a^4 - 3*a^2*b^2)*log((e^(-x) - e^x)^2 + 4)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - (a^4*b - 3*a^2*b^3)*log(abs(-b*(e^(-x) - e^x) + 2*a))/(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7) - 2*(a^3*(e^(-x) - e^x)^2 - a*b^2*(e^(-x) - e^x)^2 + a^2*b*(e^(-x) - e^x) + b^3*(e^(-x) - e^x) + 6*a^3 - 2*a*b^2)/((a^4 + 2*a^2*b^2 + b^4)*(b*(e^(-x) - e^x)^3 - 2*a*(e^(-x) - e^x)^2 + 4*b*(e^(-x) - e^x) - 8*a))","B",0
238,1,181,0,0.610679," ","integrate(tanh(x)^2/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{{\left(a^{3} - 2 \, a b^{2}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}}} + \frac{2 \, {\left(a^{3} e^{\left(3 \, x\right)} - 2 \, a b^{2} e^{\left(3 \, x\right)} - 4 \, a^{2} b e^{\left(2 \, x\right)} - b^{3} e^{\left(2 \, x\right)} + 3 \, a^{3} e^{x} - 2 \, a^{2} b + b^{3}\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} {\left(b e^{\left(4 \, x\right)} + 2 \, a e^{\left(3 \, x\right)} + 2 \, a e^{x} - b\right)}}"," ",0,"(a^3 - 2*a*b^2)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)) + 2*(a^3*e^(3*x) - 2*a*b^2*e^(3*x) - 4*a^2*b*e^(2*x) - b^3*e^(2*x) + 3*a^3*e^x - 2*a^2*b + b^3)/((a^4 + 2*a^2*b^2 + b^4)*(b*e^(4*x) + 2*a*e^(3*x) + 2*a*e^x - b))","A",0
239,1,199,0,0.169855," ","integrate(tanh(x)/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{{\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} a b}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{{\left(a^{2} - b^{2}\right)} \log\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}{2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)}} - \frac{{\left(a^{2} b - b^{3}\right)} \log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{a^{4} b + 2 \, a^{2} b^{3} + b^{5}} + \frac{a^{2} b {\left(e^{\left(-x\right)} - e^{x}\right)} - b^{3} {\left(e^{\left(-x\right)} - e^{x}\right)} - 4 \, a^{3}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} {\left(b {\left(e^{\left(-x\right)} - e^{x}\right)} - 2 \, a\right)}}"," ",0,"(pi + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))*a*b/(a^4 + 2*a^2*b^2 + b^4) + 1/2*(a^2 - b^2)*log((e^(-x) - e^x)^2 + 4)/(a^4 + 2*a^2*b^2 + b^4) - (a^2*b - b^3)*log(abs(-b*(e^(-x) - e^x) + 2*a))/(a^4*b + 2*a^2*b^3 + b^5) + (a^2*b*(e^(-x) - e^x) - b^3*(e^(-x) - e^x) - 4*a^3)/((a^4 + 2*a^2*b^2 + b^4)*(b*(e^(-x) - e^x) - 2*a))","B",0
240,1,75,0,0.145092," ","integrate(coth(x)/(a+b*sinh(x))^2,x, algorithm=""giac"")","-\frac{\log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{a^{2}} + \frac{\log\left({\left| -e^{\left(-x\right)} + e^{x} \right|}\right)}{a^{2}} + \frac{b {\left(e^{\left(-x\right)} - e^{x}\right)} - 4 \, a}{{\left(b {\left(e^{\left(-x\right)} - e^{x}\right)} - 2 \, a\right)} a^{2}}"," ",0,"-log(abs(-b*(e^(-x) - e^x) + 2*a))/a^2 + log(abs(-e^(-x) + e^x))/a^2 + (b*(e^(-x) - e^x) - 4*a)/((b*(e^(-x) - e^x) - 2*a)*a^2)","B",0
241,1,148,0,0.249317," ","integrate(coth(x)^2/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{2 \, b \log\left(e^{x} + 1\right)}{a^{3}} - \frac{2 \, b \log\left({\left| e^{x} - 1 \right|}\right)}{a^{3}} + \frac{{\left(a^{2} + 2 \, b^{2}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} a^{3}} + \frac{2 \, {\left(a e^{\left(3 \, x\right)} - 2 \, b e^{\left(2 \, x\right)} - 3 \, a e^{x} + 2 \, b\right)}}{{\left(b e^{\left(4 \, x\right)} + 2 \, a e^{\left(3 \, x\right)} - 2 \, b e^{\left(2 \, x\right)} - 2 \, a e^{x} + b\right)} a^{2}}"," ",0,"2*b*log(e^x + 1)/a^3 - 2*b*log(abs(e^x - 1))/a^3 + (a^2 + 2*b^2)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^3) + 2*(a*e^(3*x) - 2*b*e^(2*x) - 3*a*e^x + 2*b)/((b*e^(4*x) + 2*a*e^(3*x) - 2*b*e^(2*x) - 2*a*e^x + b)*a^2)","A",0
242,1,190,0,0.337234," ","integrate(coth(x)^3/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{{\left(a^{2} + 3 \, b^{2}\right)} \log\left({\left| -e^{\left(-x\right)} + e^{x} \right|}\right)}{a^{4}} - \frac{{\left(a^{2} b + 3 \, b^{3}\right)} \log\left({\left| -b {\left(e^{\left(-x\right)} - e^{x}\right)} + 2 \, a \right|}\right)}{a^{4} b} + \frac{a^{2} b {\left(e^{\left(-x\right)} - e^{x}\right)} + 3 \, b^{3} {\left(e^{\left(-x\right)} - e^{x}\right)} - 4 \, a^{3} - 8 \, a b^{2}}{{\left(b {\left(e^{\left(-x\right)} - e^{x}\right)} - 2 \, a\right)} a^{4}} - \frac{3 \, a^{2} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 9 \, b^{2} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 8 \, a b {\left(e^{\left(-x\right)} - e^{x}\right)} + 4 \, a^{2}}{2 \, a^{4} {\left(e^{\left(-x\right)} - e^{x}\right)}^{2}}"," ",0,"(a^2 + 3*b^2)*log(abs(-e^(-x) + e^x))/a^4 - (a^2*b + 3*b^3)*log(abs(-b*(e^(-x) - e^x) + 2*a))/(a^4*b) + (a^2*b*(e^(-x) - e^x) + 3*b^3*(e^(-x) - e^x) - 4*a^3 - 8*a*b^2)/((b*(e^(-x) - e^x) - 2*a)*a^4) - 1/2*(3*a^2*(e^(-x) - e^x)^2 + 9*b^2*(e^(-x) - e^x)^2 + 8*a*b*(e^(-x) - e^x) + 4*a^2)/(a^4*(e^(-x) - e^x)^2)","B",0
243,1,242,0,0.249663," ","integrate(coth(x)^4/(a+b*sinh(x))^2,x, algorithm=""giac"")","\frac{{\left(3 \, a^{2} b + 4 \, b^{3}\right)} \log\left(e^{x} + 1\right)}{a^{5}} - \frac{{\left(3 \, a^{2} b + 4 \, b^{3}\right)} \log\left({\left| e^{x} - 1 \right|}\right)}{a^{5}} + \frac{{\left(a^{4} + 5 \, a^{2} b^{2} + 4 \, b^{4}\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} a^{5}} + \frac{2 \, {\left(a^{3} e^{x} + a b^{2} e^{x} - a^{2} b - b^{3}\right)}}{{\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b\right)} a^{4}} + \frac{2 \, {\left(3 \, a b e^{\left(5 \, x\right)} - 6 \, a^{2} e^{\left(4 \, x\right)} - 9 \, b^{2} e^{\left(4 \, x\right)} + 6 \, a^{2} e^{\left(2 \, x\right)} + 18 \, b^{2} e^{\left(2 \, x\right)} - 3 \, a b e^{x} - 4 \, a^{2} - 9 \, b^{2}\right)}}{3 \, a^{4} {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"(3*a^2*b + 4*b^3)*log(e^x + 1)/a^5 - (3*a^2*b + 4*b^3)*log(abs(e^x - 1))/a^5 + (a^4 + 5*a^2*b^2 + 4*b^4)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a^5) + 2*(a^3*e^x + a*b^2*e^x - a^2*b - b^3)/((b*e^(2*x) + 2*a*e^x - b)*a^4) + 2/3*(3*a*b*e^(5*x) - 6*a^2*e^(4*x) - 9*b^2*e^(4*x) + 6*a^2*e^(2*x) + 18*b^2*e^(2*x) - 3*a*b*e^x - 4*a^2 - 9*b^2)/(a^4*(e^(2*x) - 1)^3)","A",0
244,0,0,0,0.000000," ","integrate(coth(x)*(a+b*sinh(x))^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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
246,1,87,0,0.294812," ","integrate((A+B*cosh(x))/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{A \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}}} - \frac{B x}{b} + \frac{B \log\left({\left| b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b \right|}\right)}{b}"," ",0,"A*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/sqrt(a^2 + b^2) - B*x/b + B*log(abs(b*e^(2*x) + 2*a*e^x - b))/b","A",0
247,1,22,0,0.238413," ","integrate((A+B*cosh(x))/(I+sinh(x)),x, algorithm=""giac"")","-B x + 2 \, B \log\left(e^{x} + i\right) - \frac{2 \, A}{e^{x} + i}"," ",0,"-B*x + 2*B*log(e^x + I) - 2*A/(e^x + I)","A",0
248,1,21,0,0.189472," ","integrate((A+B*cosh(x))/(I-sinh(x)),x, algorithm=""giac"")","B x - 2 \, B \log\left(e^{x} - i\right) + \frac{2 \, A}{e^{x} - i}"," ",0,"B*x - 2*B*log(e^x - I) + 2*A/(e^x - I)","A",0
249,1,123,0,0.210065," ","integrate((A+B*tanh(x))/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{2 \, B b \arctan\left(e^{x}\right)}{a^{2} + b^{2}} + \frac{B a \log\left(e^{\left(2 \, x\right)} + 1\right)}{a^{2} + b^{2}} - \frac{B a \log\left({\left| b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b \right|}\right)}{a^{2} + b^{2}} + \frac{A \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}}}"," ",0,"2*B*b*arctan(e^x)/(a^2 + b^2) + B*a*log(e^(2*x) + 1)/(a^2 + b^2) - B*a*log(abs(b*e^(2*x) + 2*a*e^x - b))/(a^2 + b^2) + A*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/sqrt(a^2 + b^2)","A",0
250,1,102,0,0.360575," ","integrate((A+B*coth(x))/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{A \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}}} + \frac{B \log\left(e^{x} + 1\right)}{a} - \frac{B \log\left({\left| b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b \right|}\right)}{a} + \frac{B \log\left({\left| e^{x} - 1 \right|}\right)}{a}"," ",0,"A*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/sqrt(a^2 + b^2) + B*log(e^x + 1)/a - B*log(abs(b*e^(2*x) + 2*a*e^x - b))/a + B*log(abs(e^x - 1))/a","A",0
251,1,123,0,0.512200," ","integrate((A+B*sech(x))/(a+b*sinh(x)),x, algorithm=""giac"")","\frac{2 \, B a \arctan\left(e^{x}\right)}{a^{2} + b^{2}} - \frac{B b \log\left(e^{\left(2 \, x\right)} + 1\right)}{a^{2} + b^{2}} + \frac{B b \log\left({\left| b e^{\left(2 \, x\right)} + 2 \, a e^{x} - b \right|}\right)}{a^{2} + b^{2}} + \frac{A \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}}}"," ",0,"2*B*a*arctan(e^x)/(a^2 + b^2) - B*b*log(e^(2*x) + 1)/(a^2 + b^2) + B*b*log(abs(b*e^(2*x) + 2*a*e^x - b))/(a^2 + b^2) + A*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/sqrt(a^2 + b^2)","A",0
252,1,90,0,0.179346," ","integrate((A+B*csch(x))/(a+b*sinh(x)),x, algorithm=""giac"")","-\frac{B \log\left(e^{x} + 1\right)}{a} + \frac{B \log\left({\left| e^{x} - 1 \right|}\right)}{a} + \frac{{\left(A a - B b\right)} \log\left(\frac{{\left| 2 \, b e^{x} + 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b e^{x} + 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} a}"," ",0,"-B*log(e^x + 1)/a + B*log(abs(e^x - 1))/a + (A*a - B*b)*log(abs(2*b*e^x + 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*e^x + 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a)","A",0
253,1,131,0,0.201318," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d)),x, algorithm=""giac"")","-{\left(\frac{{\left(x e + d\right)} {\left(B - C\right)}}{c} - \frac{B \log\left({\left| c e^{\left(2 \, x e + 2 \, d\right)} + 2 \, a e^{\left(x e + d\right)} - c \right|}\right)}{c} + \frac{{\left(C a - A c\right)} \log\left(\frac{{\left| 2 \, c e^{\left(x e + d\right)} + 2 \, a - 2 \, \sqrt{a^{2} + c^{2}} \right|}}{{\left| 2 \, c e^{\left(x e + d\right)} + 2 \, a + 2 \, \sqrt{a^{2} + c^{2}} \right|}}\right)}{\sqrt{a^{2} + c^{2}} c}\right)} e^{\left(-1\right)}"," ",0,"-((x*e + d)*(B - C)/c - B*log(abs(c*e^(2*x*e + 2*d) + 2*a*e^(x*e + d) - c))/c + (C*a - A*c)*log(abs(2*c*e^(x*e + d) + 2*a - 2*sqrt(a^2 + c^2))/abs(2*c*e^(x*e + d) + 2*a + 2*sqrt(a^2 + c^2)))/(sqrt(a^2 + c^2)*c))*e^(-1)","A",0
254,1,177,0,0.297256," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d))^2,x, algorithm=""giac"")","{\left(\frac{{\left(A a + C c\right)} \log\left(\frac{{\left| 2 \, c e^{\left(x e + d\right)} + 2 \, a - 2 \, \sqrt{a^{2} + c^{2}} \right|}}{{\left| 2 \, c e^{\left(x e + d\right)} + 2 \, a + 2 \, \sqrt{a^{2} + c^{2}} \right|}}\right)}{{\left(a^{2} + c^{2}\right)}^{\frac{3}{2}}} - \frac{2 \, {\left(B a^{2} e^{\left(x e + d\right)} + C a^{2} e^{\left(x e + d\right)} - A a c e^{\left(x e + d\right)} + B c^{2} e^{\left(x e + d\right)} - C a c + A c^{2}\right)}}{{\left(a^{2} c + c^{3}\right)} {\left(c e^{\left(2 \, x e + 2 \, d\right)} + 2 \, a e^{\left(x e + d\right)} - c\right)}}\right)} e^{\left(-1\right)}"," ",0,"((A*a + C*c)*log(abs(2*c*e^(x*e + d) + 2*a - 2*sqrt(a^2 + c^2))/abs(2*c*e^(x*e + d) + 2*a + 2*sqrt(a^2 + c^2)))/(a^2 + c^2)^(3/2) - 2*(B*a^2*e^(x*e + d) + C*a^2*e^(x*e + d) - A*a*c*e^(x*e + d) + B*c^2*e^(x*e + d) - C*a*c + A*c^2)/((a^2*c + c^3)*(c*e^(2*x*e + 2*d) + 2*a*e^(x*e + d) - c)))*e^(-1)","A",0
255,1,423,0,0.353240," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d))^3,x, algorithm=""giac"")","-\frac{1}{2} \, {\left(\frac{{\left(2 \, A a^{2} + 3 \, C a c - A c^{2}\right)} \log\left(\frac{{\left| -2 \, c e^{\left(x e + d\right)} - 2 \, a - 2 \, \sqrt{a^{2} + c^{2}} \right|}}{{\left| -2 \, c e^{\left(x e + d\right)} - 2 \, a + 2 \, \sqrt{a^{2} + c^{2}} \right|}}\right)}{{\left(a^{4} + 2 \, a^{2} c^{2} + c^{4}\right)} \sqrt{a^{2} + c^{2}}} - \frac{2 \, {\left(2 \, A a^{2} c^{2} e^{\left(3 \, x e + 3 \, d\right)} + 3 \, C a c^{3} e^{\left(3 \, x e + 3 \, d\right)} - A c^{4} e^{\left(3 \, x e + 3 \, d\right)} - 2 \, B a^{4} e^{\left(2 \, x e + 2 \, d\right)} - 2 \, C a^{4} e^{\left(2 \, x e + 2 \, d\right)} + 6 \, A a^{3} c e^{\left(2 \, x e + 2 \, d\right)} - 4 \, B a^{2} c^{2} e^{\left(2 \, x e + 2 \, d\right)} + 5 \, C a^{2} c^{2} e^{\left(2 \, x e + 2 \, d\right)} - 3 \, A a c^{3} e^{\left(2 \, x e + 2 \, d\right)} - 2 \, B c^{4} e^{\left(2 \, x e + 2 \, d\right)} - 2 \, C c^{4} e^{\left(2 \, x e + 2 \, d\right)} + 4 \, C a^{3} c e^{\left(x e + d\right)} - 10 \, A a^{2} c^{2} e^{\left(x e + d\right)} - 5 \, C a c^{3} e^{\left(x e + d\right)} - A c^{4} e^{\left(x e + d\right)} - C a^{2} c^{2} + 3 \, A a c^{3} + 2 \, C c^{4}\right)}}{{\left(a^{4} c + 2 \, a^{2} c^{3} + c^{5}\right)} {\left(c e^{\left(2 \, x e + 2 \, d\right)} + 2 \, a e^{\left(x e + d\right)} - c\right)}^{2}}\right)} e^{\left(-1\right)}"," ",0,"-1/2*((2*A*a^2 + 3*C*a*c - A*c^2)*log(abs(-2*c*e^(x*e + d) - 2*a - 2*sqrt(a^2 + c^2))/abs(-2*c*e^(x*e + d) - 2*a + 2*sqrt(a^2 + c^2)))/((a^4 + 2*a^2*c^2 + c^4)*sqrt(a^2 + c^2)) - 2*(2*A*a^2*c^2*e^(3*x*e + 3*d) + 3*C*a*c^3*e^(3*x*e + 3*d) - A*c^4*e^(3*x*e + 3*d) - 2*B*a^4*e^(2*x*e + 2*d) - 2*C*a^4*e^(2*x*e + 2*d) + 6*A*a^3*c*e^(2*x*e + 2*d) - 4*B*a^2*c^2*e^(2*x*e + 2*d) + 5*C*a^2*c^2*e^(2*x*e + 2*d) - 3*A*a*c^3*e^(2*x*e + 2*d) - 2*B*c^4*e^(2*x*e + 2*d) - 2*C*c^4*e^(2*x*e + 2*d) + 4*C*a^3*c*e^(x*e + d) - 10*A*a^2*c^2*e^(x*e + d) - 5*C*a*c^3*e^(x*e + d) - A*c^4*e^(x*e + d) - C*a^2*c^2 + 3*A*a*c^3 + 2*C*c^4)/((a^4*c + 2*a^2*c^3 + c^5)*(c*e^(2*x*e + 2*d) + 2*a*e^(x*e + d) - c)^2))*e^(-1)","B",0
256,1,717,0,0.503552," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d))^4,x, algorithm=""giac"")","\frac{1}{6} \, {\left(\frac{3 \, {\left(2 \, A a^{3} + 4 \, C a^{2} c - 3 \, A a c^{2} - C c^{3}\right)} \log\left(\frac{{\left| 2 \, c e^{\left(x e + d\right)} + 2 \, a - 2 \, \sqrt{a^{2} + c^{2}} \right|}}{{\left| 2 \, c e^{\left(x e + d\right)} + 2 \, a + 2 \, \sqrt{a^{2} + c^{2}} \right|}}\right)}{{\left(a^{6} + 3 \, a^{4} c^{2} + 3 \, a^{2} c^{4} + c^{6}\right)} \sqrt{a^{2} + c^{2}}} + \frac{2 \, {\left(6 \, A a^{3} c^{3} e^{\left(5 \, x e + 5 \, d\right)} + 12 \, C a^{2} c^{4} e^{\left(5 \, x e + 5 \, d\right)} - 9 \, A a c^{5} e^{\left(5 \, x e + 5 \, d\right)} - 3 \, C c^{6} e^{\left(5 \, x e + 5 \, d\right)} + 30 \, A a^{4} c^{2} e^{\left(4 \, x e + 4 \, d\right)} + 60 \, C a^{3} c^{3} e^{\left(4 \, x e + 4 \, d\right)} - 45 \, A a^{2} c^{4} e^{\left(4 \, x e + 4 \, d\right)} - 15 \, C a c^{5} e^{\left(4 \, x e + 4 \, d\right)} - 8 \, B a^{6} e^{\left(3 \, x e + 3 \, d\right)} - 8 \, C a^{6} e^{\left(3 \, x e + 3 \, d\right)} + 44 \, A a^{5} c e^{\left(3 \, x e + 3 \, d\right)} - 24 \, B a^{4} c^{2} e^{\left(3 \, x e + 3 \, d\right)} + 64 \, C a^{4} c^{2} e^{\left(3 \, x e + 3 \, d\right)} - 82 \, A a^{3} c^{3} e^{\left(3 \, x e + 3 \, d\right)} - 24 \, B a^{2} c^{4} e^{\left(3 \, x e + 3 \, d\right)} - 78 \, C a^{2} c^{4} e^{\left(3 \, x e + 3 \, d\right)} + 24 \, A a c^{5} e^{\left(3 \, x e + 3 \, d\right)} - 8 \, B c^{6} e^{\left(3 \, x e + 3 \, d\right)} + 24 \, C a^{5} c e^{\left(2 \, x e + 2 \, d\right)} - 102 \, A a^{4} c^{2} e^{\left(2 \, x e + 2 \, d\right)} - 102 \, C a^{3} c^{3} e^{\left(2 \, x e + 2 \, d\right)} + 36 \, A a^{2} c^{4} e^{\left(2 \, x e + 2 \, d\right)} + 24 \, C a c^{5} e^{\left(2 \, x e + 2 \, d\right)} - 12 \, A c^{6} e^{\left(2 \, x e + 2 \, d\right)} - 12 \, C a^{4} c^{2} e^{\left(x e + d\right)} + 60 \, A a^{3} c^{3} e^{\left(x e + d\right)} + 66 \, C a^{2} c^{4} e^{\left(x e + d\right)} - 15 \, A a c^{5} e^{\left(x e + d\right)} + 3 \, C c^{6} e^{\left(x e + d\right)} + 2 \, C a^{3} c^{3} - 11 \, A a^{2} c^{4} - 13 \, C a c^{5} + 4 \, A c^{6}\right)}}{{\left(a^{6} c + 3 \, a^{4} c^{3} + 3 \, a^{2} c^{5} + c^{7}\right)} {\left(c e^{\left(2 \, x e + 2 \, d\right)} + 2 \, a e^{\left(x e + d\right)} - c\right)}^{3}}\right)} e^{\left(-1\right)}"," ",0,"1/6*(3*(2*A*a^3 + 4*C*a^2*c - 3*A*a*c^2 - C*c^3)*log(abs(2*c*e^(x*e + d) + 2*a - 2*sqrt(a^2 + c^2))/abs(2*c*e^(x*e + d) + 2*a + 2*sqrt(a^2 + c^2)))/((a^6 + 3*a^4*c^2 + 3*a^2*c^4 + c^6)*sqrt(a^2 + c^2)) + 2*(6*A*a^3*c^3*e^(5*x*e + 5*d) + 12*C*a^2*c^4*e^(5*x*e + 5*d) - 9*A*a*c^5*e^(5*x*e + 5*d) - 3*C*c^6*e^(5*x*e + 5*d) + 30*A*a^4*c^2*e^(4*x*e + 4*d) + 60*C*a^3*c^3*e^(4*x*e + 4*d) - 45*A*a^2*c^4*e^(4*x*e + 4*d) - 15*C*a*c^5*e^(4*x*e + 4*d) - 8*B*a^6*e^(3*x*e + 3*d) - 8*C*a^6*e^(3*x*e + 3*d) + 44*A*a^5*c*e^(3*x*e + 3*d) - 24*B*a^4*c^2*e^(3*x*e + 3*d) + 64*C*a^4*c^2*e^(3*x*e + 3*d) - 82*A*a^3*c^3*e^(3*x*e + 3*d) - 24*B*a^2*c^4*e^(3*x*e + 3*d) - 78*C*a^2*c^4*e^(3*x*e + 3*d) + 24*A*a*c^5*e^(3*x*e + 3*d) - 8*B*c^6*e^(3*x*e + 3*d) + 24*C*a^5*c*e^(2*x*e + 2*d) - 102*A*a^4*c^2*e^(2*x*e + 2*d) - 102*C*a^3*c^3*e^(2*x*e + 2*d) + 36*A*a^2*c^4*e^(2*x*e + 2*d) + 24*C*a*c^5*e^(2*x*e + 2*d) - 12*A*c^6*e^(2*x*e + 2*d) - 12*C*a^4*c^2*e^(x*e + d) + 60*A*a^3*c^3*e^(x*e + d) + 66*C*a^2*c^4*e^(x*e + d) - 15*A*a*c^5*e^(x*e + d) + 3*C*c^6*e^(x*e + d) + 2*C*a^3*c^3 - 11*A*a^2*c^4 - 13*C*a*c^5 + 4*A*c^6)/((a^6*c + 3*a^4*c^3 + 3*a^2*c^5 + c^7)*(c*e^(2*x*e + 2*d) + 2*a*e^(x*e + d) - c)^3))*e^(-1)","B",0
257,0,0,0,0.000000," ","integrate(x^3/(a+b*sinh(x)^2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\int \frac{x}{b \sinh\left(x\right)^{2} + a}\,{d x}"," ",0,"integrate(x/(b*sinh(x)^2 + a), x)","F",0
260,1,42,0,0.337248," ","integrate(cosh(b*x+a)*(-2+sinh(b*x+a)^2)/x,x, algorithm=""giac"")","\frac{1}{8} \, {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} - \frac{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=""giac"")","\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=""giac"")","\int -\frac{\sinh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)^{2}}{a^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-sinh(sqrt(-a*x + 1)/sqrt(a*x + 1))^2/(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=""giac"")","\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=""giac"")","\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=""giac"")","\int -\frac{1}{{\left(a^{2} x^{2} - 1\right)} \sinh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)^{2}}\,{d x}"," ",0,"integrate(-1/((a^2*x^2 - 1)*sinh(sqrt(-a*x + 1)/sqrt(a*x + 1))^2), x)","F",0
266,1,47,0,0.282818," ","integrate(sinh(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{c^{b} x x^{b n} e^{a}}{2 \, {\left(b n + 1\right)}} + \frac{x e^{\left(-a\right)}}{2 \, {\left(b n - 1\right)} c^{b} x^{b n}}"," ",0,"1/2*c^b*x*x^(b*n)*e^a/(b*n + 1) + 1/2*x*e^(-a)/((b*n - 1)*c^b*x^(b*n))","A",0
267,1,169,0,0.264201," ","integrate(sinh(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{b c^{2 \, b} n x x^{2 \, b n} e^{\left(2 \, a\right)}}{2 \, {\left(4 \, b^{2} n^{2} - 1\right)}} - \frac{2 \, b^{2} n^{2} x}{4 \, b^{2} n^{2} - 1} - \frac{c^{2 \, b} x x^{2 \, b n} e^{\left(2 \, a\right)}}{4 \, {\left(4 \, b^{2} n^{2} - 1\right)}} - \frac{b n x e^{\left(-2 \, a\right)}}{2 \, {\left(4 \, b^{2} n^{2} - 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{x}{2 \, {\left(4 \, b^{2} n^{2} - 1\right)}} - \frac{x e^{\left(-2 \, a\right)}}{4 \, {\left(4 \, b^{2} n^{2} - 1\right)} c^{2 \, b} x^{2 \, b n}}"," ",0,"1/2*b*c^(2*b)*n*x*x^(2*b*n)*e^(2*a)/(4*b^2*n^2 - 1) - 2*b^2*n^2*x/(4*b^2*n^2 - 1) - 1/4*c^(2*b)*x*x^(2*b*n)*e^(2*a)/(4*b^2*n^2 - 1) - 1/2*b*n*x*e^(-2*a)/((4*b^2*n^2 - 1)*c^(2*b)*x^(2*b*n)) + 1/2*x/(4*b^2*n^2 - 1) - 1/4*x*e^(-2*a)/((4*b^2*n^2 - 1)*c^(2*b)*x^(2*b*n))","A",0
268,1,665,0,0.263960," ","integrate(sinh(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\frac{3 \, b^{3} c^{3 \, b} n^{3} x x^{3 \, b n} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} - \frac{27 \, b^{3} c^{b} n^{3} x x^{b n} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} - \frac{b^{2} c^{3 \, b} n^{2} x x^{3 \, b n} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} + \frac{27 \, b^{2} c^{b} n^{2} x x^{b n} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} - \frac{3 \, b c^{3 \, b} n x x^{3 \, b n} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} - \frac{27 \, b^{3} n^{3} x e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{b} x^{b n}} + \frac{3 \, b^{3} n^{3} x e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{3 \, b c^{b} n x x^{b n} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} + \frac{c^{3 \, b} x x^{3 \, b n} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} - \frac{27 \, b^{2} n^{2} x e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{b} x^{b n}} + \frac{b^{2} n^{2} x e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{3 \, b} x^{3 \, b n}} - \frac{3 \, c^{b} x x^{b n} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} + \frac{3 \, b n x e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{b} x^{b n}} - \frac{3 \, b n x e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{3 \, x e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{b} x^{b n}} - \frac{x e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{3 \, b} x^{3 \, b n}}"," ",0,"3/8*b^3*c^(3*b)*n^3*x*x^(3*b*n)*e^(3*a)/(9*b^4*n^4 - 10*b^2*n^2 + 1) - 27/8*b^3*c^b*n^3*x*x^(b*n)*e^a/(9*b^4*n^4 - 10*b^2*n^2 + 1) - 1/8*b^2*c^(3*b)*n^2*x*x^(3*b*n)*e^(3*a)/(9*b^4*n^4 - 10*b^2*n^2 + 1) + 27/8*b^2*c^b*n^2*x*x^(b*n)*e^a/(9*b^4*n^4 - 10*b^2*n^2 + 1) - 3/8*b*c^(3*b)*n*x*x^(3*b*n)*e^(3*a)/(9*b^4*n^4 - 10*b^2*n^2 + 1) - 27/8*b^3*n^3*x*e^(-a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^b*x^(b*n)) + 3/8*b^3*n^3*x*e^(-3*a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^(3*b)*x^(3*b*n)) + 3/8*b*c^b*n*x*x^(b*n)*e^a/(9*b^4*n^4 - 10*b^2*n^2 + 1) + 1/8*c^(3*b)*x*x^(3*b*n)*e^(3*a)/(9*b^4*n^4 - 10*b^2*n^2 + 1) - 27/8*b^2*n^2*x*e^(-a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^b*x^(b*n)) + 1/8*b^2*n^2*x*e^(-3*a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^(3*b)*x^(3*b*n)) - 3/8*c^b*x*x^(b*n)*e^a/(9*b^4*n^4 - 10*b^2*n^2 + 1) + 3/8*b*n*x*e^(-a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^b*x^(b*n)) - 3/8*b*n*x*e^(-3*a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^(3*b)*x^(3*b*n)) + 3/8*x*e^(-a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^b*x^(b*n)) - 1/8*x*e^(-3*a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^(3*b)*x^(3*b*n))","B",0
269,1,777,0,0.296762," ","integrate(sinh(a+b*log(c*x^n))^4,x, algorithm=""giac"")","\frac{b^{3} c^{4 \, b} n^{3} x x^{4 \, b n} e^{\left(4 \, a\right)}}{64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1} - \frac{8 \, b^{3} c^{2 \, b} n^{3} x x^{2 \, b n} e^{\left(2 \, a\right)}}{64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1} + \frac{24 \, b^{4} n^{4} x}{64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1} - \frac{b^{2} c^{4 \, b} n^{2} x x^{4 \, b n} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}} + \frac{4 \, b^{2} c^{2 \, b} n^{2} x x^{2 \, b n} e^{\left(2 \, a\right)}}{64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1} - \frac{b c^{4 \, b} n x x^{4 \, b n} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}} + \frac{b c^{2 \, b} n x x^{2 \, b n} e^{\left(2 \, a\right)}}{2 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}} + \frac{8 \, b^{3} n^{3} x e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{b^{3} n^{3} x e^{\left(-4 \, a\right)}}{{\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{4 \, b} x^{4 \, b n}} - \frac{15 \, b^{2} n^{2} x}{2 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}} + \frac{c^{4 \, b} x x^{4 \, b n} e^{\left(4 \, a\right)}}{16 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}} - \frac{c^{2 \, b} x x^{2 \, b n} e^{\left(2 \, a\right)}}{4 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}} + \frac{4 \, b^{2} n^{2} x e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{b^{2} n^{2} x e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{4 \, b} x^{4 \, b n}} - \frac{b n x e^{\left(-2 \, a\right)}}{2 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{b n x e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{3 \, x}{8 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}} - \frac{x e^{\left(-2 \, a\right)}}{4 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{x e^{\left(-4 \, a\right)}}{16 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{4 \, b} x^{4 \, b n}}"," ",0,"b^3*c^(4*b)*n^3*x*x^(4*b*n)*e^(4*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) - 8*b^3*c^(2*b)*n^3*x*x^(2*b*n)*e^(2*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) + 24*b^4*n^4*x/(64*b^4*n^4 - 20*b^2*n^2 + 1) - 1/4*b^2*c^(4*b)*n^2*x*x^(4*b*n)*e^(4*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) + 4*b^2*c^(2*b)*n^2*x*x^(2*b*n)*e^(2*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) - 1/4*b*c^(4*b)*n*x*x^(4*b*n)*e^(4*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) + 1/2*b*c^(2*b)*n*x*x^(2*b*n)*e^(2*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) + 8*b^3*n^3*x*e^(-2*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(2*b)*x^(2*b*n)) - b^3*n^3*x*e^(-4*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(4*b)*x^(4*b*n)) - 15/2*b^2*n^2*x/(64*b^4*n^4 - 20*b^2*n^2 + 1) + 1/16*c^(4*b)*x*x^(4*b*n)*e^(4*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) - 1/4*c^(2*b)*x*x^(2*b*n)*e^(2*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) + 4*b^2*n^2*x*e^(-2*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(2*b)*x^(2*b*n)) - 1/4*b^2*n^2*x*e^(-4*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(4*b)*x^(4*b*n)) - 1/2*b*n*x*e^(-2*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(2*b)*x^(2*b*n)) + 1/4*b*n*x*e^(-4*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(4*b)*x^(4*b*n)) + 3/8*x/(64*b^4*n^4 - 20*b^2*n^2 + 1) - 1/4*x*e^(-2*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(2*b)*x^(2*b*n)) + 1/16*x*e^(-4*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(4*b)*x^(4*b*n))","B",0
270,1,235,0,0.236923," ","integrate(x^m*sinh(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b c^{b} n x x^{b n} x^{m} e^{a}}{2 \, {\left(b^{2} n^{2} - m^{2} - 2 \, m - 1\right)}} - \frac{c^{b} m x x^{b n} x^{m} e^{a}}{2 \, {\left(b^{2} n^{2} - m^{2} - 2 \, m - 1\right)}} - \frac{c^{b} x x^{b n} x^{m} e^{a}}{2 \, {\left(b^{2} n^{2} - m^{2} - 2 \, m - 1\right)}} + \frac{b n x x^{m} e^{\left(-a\right)}}{2 \, {\left(b^{2} n^{2} - m^{2} - 2 \, m - 1\right)} c^{b} x^{b n}} + \frac{m x x^{m} e^{\left(-a\right)}}{2 \, {\left(b^{2} n^{2} - m^{2} - 2 \, m - 1\right)} c^{b} x^{b n}} + \frac{x x^{m} e^{\left(-a\right)}}{2 \, {\left(b^{2} n^{2} - m^{2} - 2 \, m - 1\right)} c^{b} x^{b n}}"," ",0,"1/2*b*c^b*n*x*x^(b*n)*x^m*e^a/(b^2*n^2 - m^2 - 2*m - 1) - 1/2*c^b*m*x*x^(b*n)*x^m*e^a/(b^2*n^2 - m^2 - 2*m - 1) - 1/2*c^b*x*x^(b*n)*x^m*e^a/(b^2*n^2 - m^2 - 2*m - 1) + 1/2*b*n*x*x^m*e^(-a)/((b^2*n^2 - m^2 - 2*m - 1)*c^b*x^(b*n)) + 1/2*m*x*x^m*e^(-a)/((b^2*n^2 - m^2 - 2*m - 1)*c^b*x^(b*n)) + 1/2*x*x^m*e^(-a)/((b^2*n^2 - m^2 - 2*m - 1)*c^b*x^(b*n))","B",0
271,1,758,0,0.227308," ","integrate(x^m*sinh(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{b c^{2 \, b} m n x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)}} - \frac{c^{2 \, b} m^{2} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{4 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)}} + \frac{b c^{2 \, b} n x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)}} - \frac{2 \, b^{2} n^{2} x x^{m}}{4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1} - \frac{c^{2 \, b} m x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)}} - \frac{c^{2 \, b} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{4 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)}} + \frac{m^{2} x x^{m}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)}} - \frac{b m n x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{m x x^{m}}{4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1} - \frac{m^{2} x x^{m} e^{\left(-2 \, a\right)}}{4 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{b n x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{x x^{m}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)}} - \frac{m x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{x x^{m} e^{\left(-2 \, a\right)}}{4 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)} c^{2 \, b} x^{2 \, b n}}"," ",0,"1/2*b*c^(2*b)*m*n*x*x^(2*b*n)*x^m*e^(2*a)/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) - 1/4*c^(2*b)*m^2*x*x^(2*b*n)*x^m*e^(2*a)/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) + 1/2*b*c^(2*b)*n*x*x^(2*b*n)*x^m*e^(2*a)/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) - 2*b^2*n^2*x*x^m/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) - 1/2*c^(2*b)*m*x*x^(2*b*n)*x^m*e^(2*a)/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) - 1/4*c^(2*b)*x*x^(2*b*n)*x^m*e^(2*a)/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) + 1/2*m^2*x*x^m/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) - 1/2*b*m*n*x*x^m*e^(-2*a)/((4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1)*c^(2*b)*x^(2*b*n)) + m*x*x^m/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) - 1/4*m^2*x*x^m*e^(-2*a)/((4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1)*c^(2*b)*x^(2*b*n)) - 1/2*b*n*x*x^m*e^(-2*a)/((4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1)*c^(2*b)*x^(2*b*n)) + 1/2*x*x^m/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) - 1/2*m*x*x^m*e^(-2*a)/((4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1)*c^(2*b)*x^(2*b*n)) - 1/4*x*x^m*e^(-2*a)/((4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1)*c^(2*b)*x^(2*b*n))","B",0
272,1,3225,0,0.356609," ","integrate(x^m*sinh(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\frac{3 \, b^{3} c^{3 \, b} n^{3} x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{27 \, b^{3} c^{b} n^{3} x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{b^{2} c^{3 \, b} m n^{2} x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{27 \, b^{2} c^{b} m n^{2} x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{3 \, b c^{3 \, b} m^{2} n x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{b^{2} c^{3 \, b} n^{2} x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{3 \, b c^{b} m^{2} n x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{27 \, b^{2} c^{b} n^{2} x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{c^{3 \, b} m^{3} x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{3 \, b c^{3 \, b} m n x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{4 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{3 \, c^{b} m^{3} x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{3 \, b c^{b} m n x x^{b n} x^{m} e^{a}}{4 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{3 \, c^{3 \, b} m^{2} x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{3 \, b c^{3 \, b} n x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{27 \, b^{3} n^{3} x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} + \frac{3 \, b^{3} n^{3} x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} - \frac{9 \, c^{b} m^{2} x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{3 \, b c^{b} n x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{3 \, c^{3 \, b} m x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{27 \, b^{2} m n^{2} x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} + \frac{b^{2} m n^{2} x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} - \frac{9 \, c^{b} m x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{c^{3 \, b} x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{3 \, b m^{2} n x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} - \frac{27 \, b^{2} n^{2} x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} - \frac{3 \, b m^{2} n x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{b^{2} n^{2} x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} - \frac{3 \, c^{b} x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{3 \, m^{3} x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} + \frac{3 \, b m n x x^{m} e^{\left(-a\right)}}{4 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} - \frac{m^{3} x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} - \frac{3 \, b m n x x^{m} e^{\left(-3 \, a\right)}}{4 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{9 \, m^{2} x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} + \frac{3 \, b n x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} - \frac{3 \, m^{2} x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} - \frac{3 \, b n x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{9 \, m x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} - \frac{3 \, m x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{3 \, x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} - \frac{x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}}"," ",0,"3/8*b^3*c^(3*b)*n^3*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 27/8*b^3*c^b*n^3*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 1/8*b^2*c^(3*b)*m*n^2*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 27/8*b^2*c^b*m*n^2*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 3/8*b*c^(3*b)*m^2*n*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 1/8*b^2*c^(3*b)*n^2*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 3/8*b*c^b*m^2*n*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 27/8*b^2*c^b*n^2*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 1/8*c^(3*b)*m^3*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 3/4*b*c^(3*b)*m*n*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 3/8*c^b*m^3*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 3/4*b*c^b*m*n*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 3/8*c^(3*b)*m^2*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 3/8*b*c^(3*b)*n*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 27/8*b^3*n^3*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) + 3/8*b^3*n^3*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) - 9/8*c^b*m^2*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 3/8*b*c^b*n*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 3/8*c^(3*b)*m*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 27/8*b^2*m*n^2*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) + 1/8*b^2*m*n^2*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) - 9/8*c^b*m*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 1/8*c^(3*b)*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 3/8*b*m^2*n*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) - 27/8*b^2*n^2*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) - 3/8*b*m^2*n*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) + 1/8*b^2*n^2*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) - 3/8*c^b*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 3/8*m^3*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) + 3/4*b*m*n*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) - 1/8*m^3*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) - 3/4*b*m*n*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) + 9/8*m^2*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) + 3/8*b*n*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) - 3/8*m^2*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) - 3/8*b*n*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) + 9/8*m*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) - 3/8*m*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) + 3/8*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) - 1/8*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n))","B",0
273,1,6884,0,0.436729," ","integrate(x^m*sinh(a+b*log(c*x^n))^4,x, algorithm=""giac"")","\frac{b^{3} c^{4 \, b} m n^{3} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} - \frac{8 \, b^{3} c^{2 \, b} m n^{3} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} - \frac{b^{2} c^{4 \, b} m^{2} n^{2} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{b^{3} c^{4 \, b} n^{3} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} + \frac{4 \, b^{2} c^{2 \, b} m^{2} n^{2} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} - \frac{8 \, b^{3} c^{2 \, b} n^{3} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} + \frac{24 \, b^{4} n^{4} x x^{m}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} - \frac{b c^{4 \, b} m^{3} n x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{b^{2} c^{4 \, b} m n^{2} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{b c^{2 \, b} m^{3} n x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{8 \, b^{2} c^{2 \, b} m n^{2} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} + \frac{c^{4 \, b} m^{4} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{16 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{3 \, b c^{4 \, b} m^{2} n x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{b^{2} c^{4 \, b} n^{2} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{c^{2 \, b} m^{4} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{3 \, b c^{2 \, b} m^{2} n x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{4 \, b^{2} c^{2 \, b} n^{2} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} - \frac{15 \, b^{2} m^{2} n^{2} x x^{m}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{c^{4 \, b} m^{3} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{3 \, b c^{4 \, b} m n x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{c^{2 \, b} m^{3} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} + \frac{3 \, b c^{2 \, b} m n x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{8 \, b^{3} m n^{3} x x^{m} e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{b^{3} m n^{3} x x^{m} e^{\left(-4 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} - \frac{15 \, b^{2} m n^{2} x x^{m}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} + \frac{3 \, c^{4 \, b} m^{2} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{8 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{b c^{4 \, b} n x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{3 \, c^{2 \, b} m^{2} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{b c^{2 \, b} n x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{4 \, b^{2} m^{2} n^{2} x x^{m} e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{8 \, b^{3} n^{3} x x^{m} e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{b^{2} m^{2} n^{2} x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} - \frac{b^{3} n^{3} x x^{m} e^{\left(-4 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{3 \, m^{4} x x^{m}}{8 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{15 \, b^{2} n^{2} x x^{m}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{c^{4 \, b} m x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{c^{2 \, b} m x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} - \frac{b m^{3} n x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{8 \, b^{2} m n^{2} x x^{m} e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{b m^{3} n x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} - \frac{b^{2} m n^{2} x x^{m} e^{\left(-4 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{3 \, m^{3} x x^{m}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{c^{4 \, b} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{16 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{c^{2 \, b} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{m^{4} x x^{m} e^{\left(-2 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{3 \, b m^{2} n x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{4 \, b^{2} n^{2} x x^{m} e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{m^{4} x x^{m} e^{\left(-4 \, a\right)}}{16 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{3 \, b m^{2} n x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} - \frac{b^{2} n^{2} x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{9 \, m^{2} x x^{m}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{m^{3} x x^{m} e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{3 \, b m n x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{m^{3} x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{3 \, b m n x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{3 \, m x x^{m}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{3 \, m^{2} x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{b n x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{3 \, m^{2} x x^{m} e^{\left(-4 \, a\right)}}{8 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{b n x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{3 \, x x^{m}}{8 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{m x x^{m} e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{m x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} - \frac{x x^{m} e^{\left(-2 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{x x^{m} e^{\left(-4 \, a\right)}}{16 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}}"," ",0,"b^3*c^(4*b)*m*n^3*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 8*b^3*c^(2*b)*m*n^3*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/4*b^2*c^(4*b)*m^2*n^2*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + b^3*c^(4*b)*n^3*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 4*b^2*c^(2*b)*m^2*n^2*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 8*b^3*c^(2*b)*n^3*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 24*b^4*n^4*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/4*b*c^(4*b)*m^3*n*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/2*b^2*c^(4*b)*m*n^2*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 1/2*b*c^(2*b)*m^3*n*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 8*b^2*c^(2*b)*m*n^2*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 1/16*c^(4*b)*m^4*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 3/4*b*c^(4*b)*m^2*n*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/4*b^2*c^(4*b)*n^2*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/4*c^(2*b)*m^4*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 3/2*b*c^(2*b)*m^2*n*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 4*b^2*c^(2*b)*n^2*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 15/2*b^2*m^2*n^2*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 1/4*c^(4*b)*m^3*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 3/4*b*c^(4*b)*m*n*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - c^(2*b)*m^3*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 3/2*b*c^(2*b)*m*n*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 8*b^3*m*n^3*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) - b^3*m*n^3*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) - 15*b^2*m*n^2*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 3/8*c^(4*b)*m^2*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/4*b*c^(4*b)*n*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 3/2*c^(2*b)*m^2*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 1/2*b*c^(2*b)*n*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 4*b^2*m^2*n^2*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 8*b^3*n^3*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) - 1/4*b^2*m^2*n^2*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) - b^3*n^3*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 3/8*m^4*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 15/2*b^2*n^2*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 1/4*c^(4*b)*m*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - c^(2*b)*m*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/2*b*m^3*n*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 8*b^2*m*n^2*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 1/4*b*m^3*n*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) - 1/2*b^2*m*n^2*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 3/2*m^3*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 1/16*c^(4*b)*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/4*c^(2*b)*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/4*m^4*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) - 3/2*b*m^2*n*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 4*b^2*n^2*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 1/16*m^4*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 3/4*b*m^2*n*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) - 1/4*b^2*n^2*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 9/4*m^2*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - m^3*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) - 3/2*b*m*n*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 1/4*m^3*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 3/4*b*m*n*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 3/2*m*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 3/2*m^2*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) - 1/2*b*n*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 3/8*m^2*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 1/4*b*n*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 3/8*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - m*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 1/4*m*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) - 1/4*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 1/16*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n))","B",0
274,1,40,0,0.186015," ","integrate(sinh(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\frac{{\left(c^{2 \, b} x^{b n} e^{\left(2 \, a\right)} + \frac{1}{x^{b n}}\right)} e^{\left(-a\right)}}{2 \, b c^{b} n}"," ",0,"1/2*(c^(2*b)*x^(b*n)*e^(2*a) + 1/x^(b*n))*e^(-a)/(b*c^b*n)","B",0
275,1,81,0,0.187202," ","integrate(sinh(a+b*log(c*x^n))^2/x,x, algorithm=""giac"")","-\frac{{\left(4 \, b c^{2 \, b} n e^{\left(2 \, a\right)} \log\left(x\right) - c^{4 \, b} x^{2 \, b n} e^{\left(4 \, a\right)} - \frac{2 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} - 1}{x^{2 \, b n}}\right)} e^{\left(-2 \, a\right)}}{8 \, b c^{2 \, b} n}"," ",0,"-1/8*(4*b*c^(2*b)*n*e^(2*a)*log(x) - c^(4*b)*x^(2*b*n)*e^(4*a) - (2*c^(2*b)*x^(2*b*n)*e^(2*a) - 1)/x^(2*b*n))*e^(-2*a)/(b*c^(2*b)*n)","B",0
276,1,81,0,0.210704," ","integrate(sinh(a+b*log(c*x^n))^3/x,x, algorithm=""giac"")","\frac{{\left(c^{6 \, b} x^{3 \, b n} e^{\left(6 \, a\right)} - 9 \, c^{4 \, b} x^{b n} e^{\left(4 \, a\right)} - \frac{9 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} - 1}{x^{3 \, b n}}\right)} e^{\left(-3 \, a\right)}}{24 \, b c^{3 \, b} n}"," ",0,"1/24*(c^(6*b)*x^(3*b*n)*e^(6*a) - 9*c^(4*b)*x^(b*n)*e^(4*a) - (9*c^(2*b)*x^(2*b*n)*e^(2*a) - 1)/x^(3*b*n))*e^(-3*a)/(b*c^(3*b)*n)","A",0
277,1,114,0,0.291635," ","integrate(sinh(a+b*log(c*x^n))^4/x,x, algorithm=""giac"")","\frac{{\left(24 \, b c^{4 \, b} n e^{\left(4 \, a\right)} \log\left(x\right) + c^{8 \, b} x^{4 \, b n} e^{\left(8 \, a\right)} - 8 \, c^{6 \, b} x^{2 \, b n} e^{\left(6 \, a\right)} - \frac{18 \, c^{4 \, b} x^{4 \, b n} e^{\left(4 \, a\right)} - 8 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1}{x^{4 \, b n}}\right)} e^{\left(-4 \, a\right)}}{64 \, b c^{4 \, b} n}"," ",0,"1/64*(24*b*c^(4*b)*n*e^(4*a)*log(x) + c^(8*b)*x^(4*b*n)*e^(8*a) - 8*c^(6*b)*x^(2*b*n)*e^(6*a) - (18*c^(4*b)*x^(4*b*n)*e^(4*a) - 8*c^(2*b)*x^(2*b*n)*e^(2*a) + 1)/x^(4*b*n))*e^(-4*a)/(b*c^(4*b)*n)","A",0
278,1,115,0,0.209440," ","integrate(sinh(a+b*log(c*x^n))^5/x,x, algorithm=""giac"")","\frac{{\left(3 \, c^{10 \, b} x^{5 \, b n} e^{\left(10 \, a\right)} - 25 \, c^{8 \, b} x^{3 \, b n} e^{\left(8 \, a\right)} + 150 \, c^{6 \, b} x^{b n} e^{\left(6 \, a\right)} + \frac{150 \, c^{4 \, b} x^{4 \, b n} e^{\left(4 \, a\right)} - 25 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 3}{x^{5 \, b n}}\right)} e^{\left(-5 \, a\right)}}{480 \, b c^{5 \, b} n}"," ",0,"1/480*(3*c^(10*b)*x^(5*b*n)*e^(10*a) - 25*c^(8*b)*x^(3*b*n)*e^(8*a) + 150*c^(6*b)*x^(b*n)*e^(6*a) + (150*c^(4*b)*x^(4*b*n)*e^(4*a) - 25*c^(2*b)*x^(2*b*n)*e^(2*a) + 3)/x^(5*b*n))*e^(-5*a)/(b*c^(5*b)*n)","A",0
279,0,0,0,0.000000," ","integrate(sinh(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-1,0,0,0.000000," ","integrate(sinh(a+2*log(c*x^n)/n)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
287,-1,0,0,0.000000," ","integrate(1/sinh(a+2*log(c*x^n)/n)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
288,-1,0,0,0.000000," ","integrate(1/sinh(a+2*log(c*x^n)/n)^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
289,1,102,0,2.635002," ","integrate(sinh(a/(d*x+c)),x, algorithm=""giac"")","-\frac{{\left(\frac{a^{3} {\rm Ei}\left(\frac{a}{d x + c}\right)}{d x + c} - a^{2} e^{\left(\frac{a}{d x + c}\right)}\right)} {\left(d x + c\right)}}{2 \, a^{2} d} - \frac{{\left(\frac{a^{3} {\rm Ei}\left(-\frac{a}{d x + c}\right)}{d x + c} + a^{2} e^{\left(-\frac{a}{d x + c}\right)}\right)} {\left(d x + c\right)}}{2 \, a^{2} d}"," ",0,"-1/2*(a^3*Ei(a/(d*x + c))/(d*x + c) - a^2*e^(a/(d*x + c)))*(d*x + c)/(a^2*d) - 1/2*(a^3*Ei(-a/(d*x + c))/(d*x + c) + a^2*e^(-a/(d*x + c)))*(d*x + c)/(a^2*d)","B",0
290,1,97,0,3.084067," ","integrate(sinh(a/(d*x+c))^2,x, algorithm=""giac"")","-\frac{{\left(\frac{2 \, a^{3} {\rm Ei}\left(\frac{2 \, a}{d x + c}\right)}{d x + c} - \frac{2 \, a^{3} {\rm Ei}\left(-\frac{2 \, a}{d x + c}\right)}{d x + c} - a^{2} e^{\left(\frac{2 \, a}{d x + c}\right)} - a^{2} e^{\left(-\frac{2 \, a}{d x + c}\right)} + 2 \, a^{2}\right)} {\left(d x + c\right)}}{4 \, a^{2} d}"," ",0,"-1/4*(2*a^3*Ei(2*a/(d*x + c))/(d*x + c) - 2*a^3*Ei(-2*a/(d*x + c))/(d*x + c) - a^2*e^(2*a/(d*x + c)) - a^2*e^(-2*a/(d*x + c)) + 2*a^2)*(d*x + c)/(a^2*d)","B",0
291,1,167,0,3.903727," ","integrate(sinh(a/(d*x+c))^3,x, algorithm=""giac"")","-\frac{{\left(\frac{3 \, a^{3} {\rm Ei}\left(\frac{3 \, a}{d x + c}\right)}{d x + c} - \frac{3 \, a^{3} {\rm Ei}\left(\frac{a}{d x + c}\right)}{d x + c} - \frac{3 \, a^{3} {\rm Ei}\left(-\frac{a}{d x + c}\right)}{d x + c} + \frac{3 \, a^{3} {\rm Ei}\left(-\frac{3 \, a}{d x + c}\right)}{d x + c} - a^{2} e^{\left(\frac{3 \, a}{d x + c}\right)} + 3 \, a^{2} e^{\left(\frac{a}{d x + c}\right)} - 3 \, a^{2} e^{\left(-\frac{a}{d x + c}\right)} + a^{2} e^{\left(-\frac{3 \, a}{d x + c}\right)}\right)} {\left(d x + c\right)}}{8 \, a^{2} d}"," ",0,"-1/8*(3*a^3*Ei(3*a/(d*x + c))/(d*x + c) - 3*a^3*Ei(a/(d*x + c))/(d*x + c) - 3*a^3*Ei(-a/(d*x + c))/(d*x + c) + 3*a^3*Ei(-3*a/(d*x + c))/(d*x + c) - a^2*e^(3*a/(d*x + c)) + 3*a^2*e^(a/(d*x + c)) - 3*a^2*e^(-a/(d*x + c)) + a^2*e^(-3*a/(d*x + c)))*(d*x + c)/(a^2*d)","B",0
292,0,0,0,0.000000," ","integrate(sinh(b*x/(d*x+c)),x, algorithm=""giac"")","\int \sinh\left(\frac{b x}{d x + c}\right)\,{d x}"," ",0,"integrate(sinh(b*x/(d*x + c)), x)","F",0
293,0,0,0,0.000000," ","integrate(sinh(b*x/(d*x+c))^2,x, algorithm=""giac"")","\int \sinh\left(\frac{b x}{d x + c}\right)^{2}\,{d x}"," ",0,"integrate(sinh(b*x/(d*x + c))^2, x)","F",0
294,0,0,0,0.000000," ","integrate(sinh(b*x/(d*x+c))^3,x, algorithm=""giac"")","\int \sinh\left(\frac{b x}{d x + c}\right)^{3}\,{d x}"," ",0,"integrate(sinh(b*x/(d*x + c))^3, x)","F",0
295,1,764,0,4.233418," ","integrate(sinh((b*x+a)/(d*x+c)),x, algorithm=""giac"")","\frac{{\left(b^{3} c^{2} {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}} - 2 \, a b^{2} c d {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}} - \frac{{\left(b x + a\right)} b^{2} c^{2} d {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}}}{d x + c} + a^{2} b d^{2} {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}} + \frac{2 \, {\left(b x + a\right)} a b c d^{2} {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}}}{d x + c} - \frac{{\left(b x + a\right)} a^{2} d^{3} {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}}}{d x + c} + b^{2} c^{2} d e^{\left(\frac{b x + a}{d x + c}\right)} - 2 \, a b c d^{2} e^{\left(\frac{b x + a}{d x + c}\right)} + a^{2} d^{3} e^{\left(\frac{b x + a}{d x + c}\right)}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}}{2 \, {\left(b d^{2} - \frac{{\left(b x + a\right)} d^{3}}{d x + c}\right)}} + \frac{{\left(b^{3} c^{2} {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)} - 2 \, a b^{2} c d {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)} - \frac{{\left(b x + a\right)} b^{2} c^{2} d {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)}}{d x + c} + a^{2} b d^{2} {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)} + \frac{2 \, {\left(b x + a\right)} a b c d^{2} {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)}}{d x + c} - \frac{{\left(b x + a\right)} a^{2} d^{3} {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)}}{d x + c} - b^{2} c^{2} d e^{\left(-\frac{b x + a}{d x + c}\right)} + 2 \, a b c d^{2} e^{\left(-\frac{b x + a}{d x + c}\right)} - a^{2} d^{3} e^{\left(-\frac{b x + a}{d x + c}\right)}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}}{2 \, {\left(b d^{2} - \frac{{\left(b x + a\right)} d^{3}}{d x + c}\right)}}"," ",0,"1/2*(b^3*c^2*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d) - 2*a*b^2*c*d*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d) - (b*x + a)*b^2*c^2*d*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d)/(d*x + c) + a^2*b*d^2*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d) + 2*(b*x + a)*a*b*c*d^2*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d)/(d*x + c) - (b*x + a)*a^2*d^3*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d)/(d*x + c) + b^2*c^2*d*e^((b*x + a)/(d*x + c)) - 2*a*b*c*d^2*e^((b*x + a)/(d*x + c)) + a^2*d^3*e^((b*x + a)/(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)/(b*d^2 - (b*x + a)*d^3/(d*x + c)) + 1/2*(b^3*c^2*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d) - 2*a*b^2*c*d*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d) - (b*x + a)*b^2*c^2*d*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d)/(d*x + c) + a^2*b*d^2*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d) + 2*(b*x + a)*a*b*c*d^2*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d)/(d*x + c) - (b*x + a)*a^2*d^3*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d)/(d*x + c) - b^2*c^2*d*e^(-(b*x + a)/(d*x + c)) + 2*a*b*c*d^2*e^(-(b*x + a)/(d*x + c)) - a^2*d^3*e^(-(b*x + a)/(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)/(b*d^2 - (b*x + a)*d^3/(d*x + c))","B",0
296,1,749,0,17.255769," ","integrate(sinh((b*x+a)/(d*x+c))^2,x, algorithm=""giac"")","\frac{{\left(2 \, b^{3} c^{2} {\rm Ei}\left(-\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, b}{d}\right)} - 4 \, a b^{2} c d {\rm Ei}\left(-\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, b}{d}\right)} - \frac{2 \, {\left(b x + a\right)} b^{2} c^{2} d {\rm Ei}\left(-\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, b}{d}\right)}}{d x + c} + 2 \, a^{2} b d^{2} {\rm Ei}\left(-\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, b}{d}\right)} + \frac{4 \, {\left(b x + a\right)} a b c d^{2} {\rm Ei}\left(-\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, b}{d}\right)}}{d x + c} - \frac{2 \, {\left(b x + a\right)} a^{2} d^{3} {\rm Ei}\left(-\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, b}{d}\right)}}{d x + c} - 2 \, b^{3} c^{2} {\rm Ei}\left(\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, b}{d}\right)} + 4 \, a b^{2} c d {\rm Ei}\left(\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, b}{d}\right)} + \frac{2 \, {\left(b x + a\right)} b^{2} c^{2} d {\rm Ei}\left(\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, b}{d}\right)}}{d x + c} - 2 \, a^{2} b d^{2} {\rm Ei}\left(\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, b}{d}\right)} - \frac{4 \, {\left(b x + a\right)} a b c d^{2} {\rm Ei}\left(\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, b}{d}\right)}}{d x + c} + \frac{2 \, {\left(b x + a\right)} a^{2} d^{3} {\rm Ei}\left(\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, b}{d}\right)}}{d x + c} + b^{2} c^{2} d e^{\left(\frac{2 \, {\left(b x + a\right)}}{d x + c}\right)} - 2 \, a b c d^{2} e^{\left(\frac{2 \, {\left(b x + a\right)}}{d x + c}\right)} + a^{2} d^{3} e^{\left(\frac{2 \, {\left(b x + a\right)}}{d x + c}\right)} + b^{2} c^{2} d e^{\left(-\frac{2 \, {\left(b x + a\right)}}{d x + c}\right)} - 2 \, a b c d^{2} e^{\left(-\frac{2 \, {\left(b x + a\right)}}{d x + c}\right)} + a^{2} d^{3} e^{\left(-\frac{2 \, {\left(b x + a\right)}}{d x + c}\right)} - 2 \, b^{2} c^{2} d + 4 \, a b c d^{2} - 2 \, a^{2} d^{3}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}}{4 \, {\left(b d^{2} - \frac{{\left(b x + a\right)} d^{3}}{d x + c}\right)}}"," ",0,"1/4*(2*b^3*c^2*Ei(-2*(b - (b*x + a)*d/(d*x + c))/d)*e^(2*b/d) - 4*a*b^2*c*d*Ei(-2*(b - (b*x + a)*d/(d*x + c))/d)*e^(2*b/d) - 2*(b*x + a)*b^2*c^2*d*Ei(-2*(b - (b*x + a)*d/(d*x + c))/d)*e^(2*b/d)/(d*x + c) + 2*a^2*b*d^2*Ei(-2*(b - (b*x + a)*d/(d*x + c))/d)*e^(2*b/d) + 4*(b*x + a)*a*b*c*d^2*Ei(-2*(b - (b*x + a)*d/(d*x + c))/d)*e^(2*b/d)/(d*x + c) - 2*(b*x + a)*a^2*d^3*Ei(-2*(b - (b*x + a)*d/(d*x + c))/d)*e^(2*b/d)/(d*x + c) - 2*b^3*c^2*Ei(2*(b - (b*x + a)*d/(d*x + c))/d)*e^(-2*b/d) + 4*a*b^2*c*d*Ei(2*(b - (b*x + a)*d/(d*x + c))/d)*e^(-2*b/d) + 2*(b*x + a)*b^2*c^2*d*Ei(2*(b - (b*x + a)*d/(d*x + c))/d)*e^(-2*b/d)/(d*x + c) - 2*a^2*b*d^2*Ei(2*(b - (b*x + a)*d/(d*x + c))/d)*e^(-2*b/d) - 4*(b*x + a)*a*b*c*d^2*Ei(2*(b - (b*x + a)*d/(d*x + c))/d)*e^(-2*b/d)/(d*x + c) + 2*(b*x + a)*a^2*d^3*Ei(2*(b - (b*x + a)*d/(d*x + c))/d)*e^(-2*b/d)/(d*x + c) + b^2*c^2*d*e^(2*(b*x + a)/(d*x + c)) - 2*a*b*c*d^2*e^(2*(b*x + a)/(d*x + c)) + a^2*d^3*e^(2*(b*x + a)/(d*x + c)) + b^2*c^2*d*e^(-2*(b*x + a)/(d*x + c)) - 2*a*b*c*d^2*e^(-2*(b*x + a)/(d*x + c)) + a^2*d^3*e^(-2*(b*x + a)/(d*x + c)) - 2*b^2*c^2*d + 4*a*b*c*d^2 - 2*a^2*d^3)*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)/(b*d^2 - (b*x + a)*d^3/(d*x + c))","B",0
297,1,1383,0,24.020880," ","integrate(sinh((b*x+a)/(d*x+c))^3,x, algorithm=""giac"")","\frac{{\left(3 \, b^{3} c^{2} {\rm Ei}\left(-\frac{3 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{3 \, b}{d}\right)} - 6 \, a b^{2} c d {\rm Ei}\left(-\frac{3 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{3 \, b}{d}\right)} - \frac{3 \, {\left(b x + a\right)} b^{2} c^{2} d {\rm Ei}\left(-\frac{3 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{3 \, b}{d}\right)}}{d x + c} + 3 \, a^{2} b d^{2} {\rm Ei}\left(-\frac{3 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{3 \, b}{d}\right)} + \frac{6 \, {\left(b x + a\right)} a b c d^{2} {\rm Ei}\left(-\frac{3 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{3 \, b}{d}\right)}}{d x + c} - \frac{3 \, {\left(b x + a\right)} a^{2} d^{3} {\rm Ei}\left(-\frac{3 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{3 \, b}{d}\right)}}{d x + c} - 3 \, b^{3} c^{2} {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}} + 6 \, a b^{2} c d {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}} + \frac{3 \, {\left(b x + a\right)} b^{2} c^{2} d {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}}}{d x + c} - 3 \, a^{2} b d^{2} {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}} - \frac{6 \, {\left(b x + a\right)} a b c d^{2} {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}}}{d x + c} + \frac{3 \, {\left(b x + a\right)} a^{2} d^{3} {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}}}{d x + c} - 3 \, b^{3} c^{2} {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)} + 6 \, a b^{2} c d {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)} + \frac{3 \, {\left(b x + a\right)} b^{2} c^{2} d {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)}}{d x + c} - 3 \, a^{2} b d^{2} {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)} - \frac{6 \, {\left(b x + a\right)} a b c d^{2} {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)}}{d x + c} + \frac{3 \, {\left(b x + a\right)} a^{2} d^{3} {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)}}{d x + c} + 3 \, b^{3} c^{2} {\rm Ei}\left(\frac{3 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{3 \, b}{d}\right)} - 6 \, a b^{2} c d {\rm Ei}\left(\frac{3 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{3 \, b}{d}\right)} - \frac{3 \, {\left(b x + a\right)} b^{2} c^{2} d {\rm Ei}\left(\frac{3 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{3 \, b}{d}\right)}}{d x + c} + 3 \, a^{2} b d^{2} {\rm Ei}\left(\frac{3 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{3 \, b}{d}\right)} + \frac{6 \, {\left(b x + a\right)} a b c d^{2} {\rm Ei}\left(\frac{3 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{3 \, b}{d}\right)}}{d x + c} - \frac{3 \, {\left(b x + a\right)} a^{2} d^{3} {\rm Ei}\left(\frac{3 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{3 \, b}{d}\right)}}{d x + c} + b^{2} c^{2} d e^{\left(\frac{3 \, {\left(b x + a\right)}}{d x + c}\right)} - 2 \, a b c d^{2} e^{\left(\frac{3 \, {\left(b x + a\right)}}{d x + c}\right)} + a^{2} d^{3} e^{\left(\frac{3 \, {\left(b x + a\right)}}{d x + c}\right)} - 3 \, b^{2} c^{2} d e^{\left(\frac{b x + a}{d x + c}\right)} + 6 \, a b c d^{2} e^{\left(\frac{b x + a}{d x + c}\right)} - 3 \, a^{2} d^{3} e^{\left(\frac{b x + a}{d x + c}\right)} + 3 \, b^{2} c^{2} d e^{\left(-\frac{b x + a}{d x + c}\right)} - 6 \, a b c d^{2} e^{\left(-\frac{b x + a}{d x + c}\right)} + 3 \, a^{2} d^{3} e^{\left(-\frac{b x + a}{d x + c}\right)} - b^{2} c^{2} d e^{\left(-\frac{3 \, {\left(b x + a\right)}}{d x + c}\right)} + 2 \, a b c d^{2} e^{\left(-\frac{3 \, {\left(b x + a\right)}}{d x + c}\right)} - a^{2} d^{3} e^{\left(-\frac{3 \, {\left(b x + a\right)}}{d x + c}\right)}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}}{8 \, {\left(b d^{2} - \frac{{\left(b x + a\right)} d^{3}}{d x + c}\right)}}"," ",0,"1/8*(3*b^3*c^2*Ei(-3*(b - (b*x + a)*d/(d*x + c))/d)*e^(3*b/d) - 6*a*b^2*c*d*Ei(-3*(b - (b*x + a)*d/(d*x + c))/d)*e^(3*b/d) - 3*(b*x + a)*b^2*c^2*d*Ei(-3*(b - (b*x + a)*d/(d*x + c))/d)*e^(3*b/d)/(d*x + c) + 3*a^2*b*d^2*Ei(-3*(b - (b*x + a)*d/(d*x + c))/d)*e^(3*b/d) + 6*(b*x + a)*a*b*c*d^2*Ei(-3*(b - (b*x + a)*d/(d*x + c))/d)*e^(3*b/d)/(d*x + c) - 3*(b*x + a)*a^2*d^3*Ei(-3*(b - (b*x + a)*d/(d*x + c))/d)*e^(3*b/d)/(d*x + c) - 3*b^3*c^2*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d) + 6*a*b^2*c*d*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d) + 3*(b*x + a)*b^2*c^2*d*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d)/(d*x + c) - 3*a^2*b*d^2*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d) - 6*(b*x + a)*a*b*c*d^2*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d)/(d*x + c) + 3*(b*x + a)*a^2*d^3*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d)/(d*x + c) - 3*b^3*c^2*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d) + 6*a*b^2*c*d*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d) + 3*(b*x + a)*b^2*c^2*d*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d)/(d*x + c) - 3*a^2*b*d^2*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d) - 6*(b*x + a)*a*b*c*d^2*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d)/(d*x + c) + 3*(b*x + a)*a^2*d^3*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d)/(d*x + c) + 3*b^3*c^2*Ei(3*(b - (b*x + a)*d/(d*x + c))/d)*e^(-3*b/d) - 6*a*b^2*c*d*Ei(3*(b - (b*x + a)*d/(d*x + c))/d)*e^(-3*b/d) - 3*(b*x + a)*b^2*c^2*d*Ei(3*(b - (b*x + a)*d/(d*x + c))/d)*e^(-3*b/d)/(d*x + c) + 3*a^2*b*d^2*Ei(3*(b - (b*x + a)*d/(d*x + c))/d)*e^(-3*b/d) + 6*(b*x + a)*a*b*c*d^2*Ei(3*(b - (b*x + a)*d/(d*x + c))/d)*e^(-3*b/d)/(d*x + c) - 3*(b*x + a)*a^2*d^3*Ei(3*(b - (b*x + a)*d/(d*x + c))/d)*e^(-3*b/d)/(d*x + c) + b^2*c^2*d*e^(3*(b*x + a)/(d*x + c)) - 2*a*b*c*d^2*e^(3*(b*x + a)/(d*x + c)) + a^2*d^3*e^(3*(b*x + a)/(d*x + c)) - 3*b^2*c^2*d*e^((b*x + a)/(d*x + c)) + 6*a*b*c*d^2*e^((b*x + a)/(d*x + c)) - 3*a^2*d^3*e^((b*x + a)/(d*x + c)) + 3*b^2*c^2*d*e^(-(b*x + a)/(d*x + c)) - 6*a*b*c*d^2*e^(-(b*x + a)/(d*x + c)) + 3*a^2*d^3*e^(-(b*x + a)/(d*x + c)) - b^2*c^2*d*e^(-3*(b*x + a)/(d*x + c)) + 2*a*b*c*d^2*e^(-3*(b*x + a)/(d*x + c)) - a^2*d^3*e^(-3*(b*x + a)/(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)/(b*d^2 - (b*x + a)*d^3/(d*x + c))","B",0
298,1,1736,0,34.353501," ","integrate(sinh(e+f*(b*x+a)/(d*x+c)),x, algorithm=""giac"")","\frac{{\left(b^{3} c^{2} f^{3} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d}\right)} - 2 \, a b^{2} c d f^{3} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d}\right)} + a^{2} b d^{2} f^{3} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d}\right)} + b^{2} c^{2} d f^{2} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d} + 1\right)} - 2 \, a b c d^{2} f^{2} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d} + 1\right)} + a^{2} d^{3} f^{2} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d} + 1\right)} - \frac{{\left(b f x + d x e + a f + c e\right)} b^{2} c^{2} d f^{2} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d}\right)}}{d x + c} + \frac{2 \, {\left(b f x + d x e + a f + c e\right)} a b c d^{2} f^{2} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d}\right)}}{d x + c} - \frac{{\left(b f x + d x e + a f + c e\right)} a^{2} d^{3} f^{2} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d}\right)}}{d x + c} + b^{2} c^{2} d f^{2} e^{\left(\frac{b f x + d x e + a f + c e}{d x + c}\right)} - 2 \, a b c d^{2} f^{2} e^{\left(\frac{b f x + d x e + a f + c e}{d x + c}\right)} + a^{2} d^{3} f^{2} e^{\left(\frac{b f x + d x e + a f + c e}{d x + c}\right)}\right)} {\left(\frac{{\left(b f + d e\right)} c}{{\left(b c f - a d f\right)}^{2}} - \frac{{\left(a f + c e\right)} d}{{\left(b c f - a d f\right)}^{2}}\right)}}{2 \, {\left(b d^{2} f + d^{3} e - \frac{{\left(b f x + d x e + a f + c e\right)} d^{3}}{d x + c}\right)}} + \frac{{\left(b^{3} c^{2} f^{3} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d}\right)} - 2 \, a b^{2} c d f^{3} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d}\right)} + a^{2} b d^{2} f^{3} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d}\right)} + b^{2} c^{2} d f^{2} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d} + 1\right)} - 2 \, a b c d^{2} f^{2} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d} + 1\right)} + a^{2} d^{3} f^{2} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d} + 1\right)} - \frac{{\left(b f x + d x e + a f + c e\right)} b^{2} c^{2} d f^{2} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d}\right)}}{d x + c} + \frac{2 \, {\left(b f x + d x e + a f + c e\right)} a b c d^{2} f^{2} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d}\right)}}{d x + c} - \frac{{\left(b f x + d x e + a f + c e\right)} a^{2} d^{3} f^{2} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d}\right)}}{d x + c} - b^{2} c^{2} d f^{2} e^{\left(-\frac{b f x + d x e + a f + c e}{d x + c}\right)} + 2 \, a b c d^{2} f^{2} e^{\left(-\frac{b f x + d x e + a f + c e}{d x + c}\right)} - a^{2} d^{3} f^{2} e^{\left(-\frac{b f x + d x e + a f + c e}{d x + c}\right)}\right)} {\left(\frac{{\left(b f + d e\right)} c}{{\left(b c f - a d f\right)}^{2}} - \frac{{\left(a f + c e\right)} d}{{\left(b c f - a d f\right)}^{2}}\right)}}{2 \, {\left(b d^{2} f + d^{3} e - \frac{{\left(b f x + d x e + a f + c e\right)} d^{3}}{d x + c}\right)}}"," ",0,"1/2*(b^3*c^2*f^3*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d) - 2*a*b^2*c*d*f^3*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d) + a^2*b*d^2*f^3*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d) + b^2*c^2*d*f^2*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d + 1) - 2*a*b*c*d^2*f^2*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d + 1) + a^2*d^3*f^2*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d + 1) - (b*f*x + d*x*e + a*f + c*e)*b^2*c^2*d*f^2*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d)/(d*x + c) + 2*(b*f*x + d*x*e + a*f + c*e)*a*b*c*d^2*f^2*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d)/(d*x + c) - (b*f*x + d*x*e + a*f + c*e)*a^2*d^3*f^2*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d)/(d*x + c) + b^2*c^2*d*f^2*e^((b*f*x + d*x*e + a*f + c*e)/(d*x + c)) - 2*a*b*c*d^2*f^2*e^((b*f*x + d*x*e + a*f + c*e)/(d*x + c)) + a^2*d^3*f^2*e^((b*f*x + d*x*e + a*f + c*e)/(d*x + c)))*((b*f + d*e)*c/(b*c*f - a*d*f)^2 - (a*f + c*e)*d/(b*c*f - a*d*f)^2)/(b*d^2*f + d^3*e - (b*f*x + d*x*e + a*f + c*e)*d^3/(d*x + c)) + 1/2*(b^3*c^2*f^3*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d) - 2*a*b^2*c*d*f^3*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d) + a^2*b*d^2*f^3*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d) + b^2*c^2*d*f^2*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d + 1) - 2*a*b*c*d^2*f^2*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d + 1) + a^2*d^3*f^2*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d + 1) - (b*f*x + d*x*e + a*f + c*e)*b^2*c^2*d*f^2*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d)/(d*x + c) + 2*(b*f*x + d*x*e + a*f + c*e)*a*b*c*d^2*f^2*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d)/(d*x + c) - (b*f*x + d*x*e + a*f + c*e)*a^2*d^3*f^2*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d)/(d*x + c) - b^2*c^2*d*f^2*e^(-(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) + 2*a*b*c*d^2*f^2*e^(-(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) - a^2*d^3*f^2*e^(-(b*f*x + d*x*e + a*f + c*e)/(d*x + c)))*((b*f + d*e)*c/(b*c*f - a*d*f)^2 - (a*f + c*e)*d/(b*c*f - a*d*f)^2)/(b*d^2*f + d^3*e - (b*f*x + d*x*e + a*f + c*e)*d^3/(d*x + c))","B",0
299,1,1703,0,154.690901," ","integrate(sinh(e+f*(b*x+a)/(d*x+c))^2,x, algorithm=""giac"")","\frac{{\left(2 \, b^{3} c^{2} f^{3} {\rm Ei}\left(-\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, {\left(b f + d e\right)}}{d}\right)} - 4 \, a b^{2} c d f^{3} {\rm Ei}\left(-\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, {\left(b f + d e\right)}}{d}\right)} + 2 \, a^{2} b d^{2} f^{3} {\rm Ei}\left(-\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, {\left(b f + d e\right)}}{d}\right)} - 2 \, b^{3} c^{2} f^{3} {\rm Ei}\left(\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(b f + d e\right)}}{d}\right)} + 4 \, a b^{2} c d f^{3} {\rm Ei}\left(\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(b f + d e\right)}}{d}\right)} - 2 \, a^{2} b d^{2} f^{3} {\rm Ei}\left(\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(b f + d e\right)}}{d}\right)} - \frac{2 \, {\left(b f x + d x e + a f + c e\right)} b^{2} c^{2} d f^{2} {\rm Ei}\left(-\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, {\left(b f + d e\right)}}{d}\right)}}{d x + c} + \frac{4 \, {\left(b f x + d x e + a f + c e\right)} a b c d^{2} f^{2} {\rm Ei}\left(-\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, {\left(b f + d e\right)}}{d}\right)}}{d x + c} - \frac{2 \, {\left(b f x + d x e + a f + c e\right)} a^{2} d^{3} f^{2} {\rm Ei}\left(-\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, {\left(b f + d e\right)}}{d}\right)}}{d x + c} + 2 \, b^{2} c^{2} d f^{2} {\rm Ei}\left(-\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, {\left(b f + d e\right)}}{d} + 1\right)} - 4 \, a b c d^{2} f^{2} {\rm Ei}\left(-\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, {\left(b f + d e\right)}}{d} + 1\right)} + 2 \, a^{2} d^{3} f^{2} {\rm Ei}\left(-\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, {\left(b f + d e\right)}}{d} + 1\right)} - 2 \, b^{2} c^{2} d f^{2} {\rm Ei}\left(\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(b f + d e\right)}}{d} + 1\right)} + 4 \, a b c d^{2} f^{2} {\rm Ei}\left(\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(b f + d e\right)}}{d} + 1\right)} - 2 \, a^{2} d^{3} f^{2} {\rm Ei}\left(\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(b f + d e\right)}}{d} + 1\right)} + \frac{2 \, {\left(b f x + d x e + a f + c e\right)} b^{2} c^{2} d f^{2} {\rm Ei}\left(\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(b f + d e\right)}}{d}\right)}}{d x + c} - \frac{4 \, {\left(b f x + d x e + a f + c e\right)} a b c d^{2} f^{2} {\rm Ei}\left(\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(b f + d e\right)}}{d}\right)}}{d x + c} + \frac{2 \, {\left(b f x + d x e + a f + c e\right)} a^{2} d^{3} f^{2} {\rm Ei}\left(\frac{2 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, {\left(b f + d e\right)}}{d}\right)}}{d x + c} + b^{2} c^{2} d f^{2} e^{\left(\frac{2 \, {\left(b f x + d x e + a f + c e\right)}}{d x + c}\right)} - 2 \, a b c d^{2} f^{2} e^{\left(\frac{2 \, {\left(b f x + d x e + a f + c e\right)}}{d x + c}\right)} + a^{2} d^{3} f^{2} e^{\left(\frac{2 \, {\left(b f x + d x e + a f + c e\right)}}{d x + c}\right)} + b^{2} c^{2} d f^{2} e^{\left(-\frac{2 \, {\left(b f x + d x e + a f + c e\right)}}{d x + c}\right)} - 2 \, a b c d^{2} f^{2} e^{\left(-\frac{2 \, {\left(b f x + d x e + a f + c e\right)}}{d x + c}\right)} + a^{2} d^{3} f^{2} e^{\left(-\frac{2 \, {\left(b f x + d x e + a f + c e\right)}}{d x + c}\right)} - 2 \, b^{2} c^{2} d f^{2} + 4 \, a b c d^{2} f^{2} - 2 \, a^{2} d^{3} f^{2}\right)} {\left(\frac{{\left(b f + d e\right)} c}{{\left(b c f - a d f\right)}^{2}} - \frac{{\left(a f + c e\right)} d}{{\left(b c f - a d f\right)}^{2}}\right)}}{4 \, {\left(b d^{2} f + d^{3} e - \frac{{\left(b f x + d x e + a f + c e\right)} d^{3}}{d x + c}\right)}}"," ",0,"1/4*(2*b^3*c^2*f^3*Ei(-2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(2*(b*f + d*e)/d) - 4*a*b^2*c*d*f^3*Ei(-2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(2*(b*f + d*e)/d) + 2*a^2*b*d^2*f^3*Ei(-2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(2*(b*f + d*e)/d) - 2*b^3*c^2*f^3*Ei(2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-2*(b*f + d*e)/d) + 4*a*b^2*c*d*f^3*Ei(2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-2*(b*f + d*e)/d) - 2*a^2*b*d^2*f^3*Ei(2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-2*(b*f + d*e)/d) - 2*(b*f*x + d*x*e + a*f + c*e)*b^2*c^2*d*f^2*Ei(-2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(2*(b*f + d*e)/d)/(d*x + c) + 4*(b*f*x + d*x*e + a*f + c*e)*a*b*c*d^2*f^2*Ei(-2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(2*(b*f + d*e)/d)/(d*x + c) - 2*(b*f*x + d*x*e + a*f + c*e)*a^2*d^3*f^2*Ei(-2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(2*(b*f + d*e)/d)/(d*x + c) + 2*b^2*c^2*d*f^2*Ei(-2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(2*(b*f + d*e)/d + 1) - 4*a*b*c*d^2*f^2*Ei(-2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(2*(b*f + d*e)/d + 1) + 2*a^2*d^3*f^2*Ei(-2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(2*(b*f + d*e)/d + 1) - 2*b^2*c^2*d*f^2*Ei(2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-2*(b*f + d*e)/d + 1) + 4*a*b*c*d^2*f^2*Ei(2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-2*(b*f + d*e)/d + 1) - 2*a^2*d^3*f^2*Ei(2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-2*(b*f + d*e)/d + 1) + 2*(b*f*x + d*x*e + a*f + c*e)*b^2*c^2*d*f^2*Ei(2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-2*(b*f + d*e)/d)/(d*x + c) - 4*(b*f*x + d*x*e + a*f + c*e)*a*b*c*d^2*f^2*Ei(2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-2*(b*f + d*e)/d)/(d*x + c) + 2*(b*f*x + d*x*e + a*f + c*e)*a^2*d^3*f^2*Ei(2*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-2*(b*f + d*e)/d)/(d*x + c) + b^2*c^2*d*f^2*e^(2*(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) - 2*a*b*c*d^2*f^2*e^(2*(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) + a^2*d^3*f^2*e^(2*(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) + b^2*c^2*d*f^2*e^(-2*(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) - 2*a*b*c*d^2*f^2*e^(-2*(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) + a^2*d^3*f^2*e^(-2*(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) - 2*b^2*c^2*d*f^2 + 4*a*b*c*d^2*f^2 - 2*a^2*d^3*f^2)*((b*f + d*e)*c/(b*c*f - a*d*f)^2 - (a*f + c*e)*d/(b*c*f - a*d*f)^2)/(b*d^2*f + d^3*e - (b*f*x + d*x*e + a*f + c*e)*d^3/(d*x + c))","B",0
300,1,3230,0,178.856583," ","integrate(sinh(e+f*(b*x+a)/(d*x+c))^3,x, algorithm=""giac"")","\frac{{\left(3 \, b^{3} c^{2} f^{3} {\rm Ei}\left(-\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{3 \, {\left(b f + d e\right)}}{d}\right)} - 6 \, a b^{2} c d f^{3} {\rm Ei}\left(-\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{3 \, {\left(b f + d e\right)}}{d}\right)} + 3 \, a^{2} b d^{2} f^{3} {\rm Ei}\left(-\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{3 \, {\left(b f + d e\right)}}{d}\right)} - 3 \, b^{3} c^{2} f^{3} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d}\right)} + 6 \, a b^{2} c d f^{3} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d}\right)} - 3 \, a^{2} b d^{2} f^{3} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d}\right)} - 3 \, b^{3} c^{2} f^{3} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d}\right)} + 6 \, a b^{2} c d f^{3} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d}\right)} - 3 \, a^{2} b d^{2} f^{3} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d}\right)} + 3 \, b^{3} c^{2} f^{3} {\rm Ei}\left(\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{3 \, {\left(b f + d e\right)}}{d}\right)} - 6 \, a b^{2} c d f^{3} {\rm Ei}\left(\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{3 \, {\left(b f + d e\right)}}{d}\right)} + 3 \, a^{2} b d^{2} f^{3} {\rm Ei}\left(\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{3 \, {\left(b f + d e\right)}}{d}\right)} - \frac{3 \, {\left(b f x + d x e + a f + c e\right)} b^{2} c^{2} d f^{2} {\rm Ei}\left(-\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{3 \, {\left(b f + d e\right)}}{d}\right)}}{d x + c} + \frac{6 \, {\left(b f x + d x e + a f + c e\right)} a b c d^{2} f^{2} {\rm Ei}\left(-\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{3 \, {\left(b f + d e\right)}}{d}\right)}}{d x + c} - \frac{3 \, {\left(b f x + d x e + a f + c e\right)} a^{2} d^{3} f^{2} {\rm Ei}\left(-\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{3 \, {\left(b f + d e\right)}}{d}\right)}}{d x + c} + 3 \, b^{2} c^{2} d f^{2} {\rm Ei}\left(-\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{3 \, {\left(b f + d e\right)}}{d} + 1\right)} - 6 \, a b c d^{2} f^{2} {\rm Ei}\left(-\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{3 \, {\left(b f + d e\right)}}{d} + 1\right)} + 3 \, a^{2} d^{3} f^{2} {\rm Ei}\left(-\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{3 \, {\left(b f + d e\right)}}{d} + 1\right)} - 3 \, b^{2} c^{2} d f^{2} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d} + 1\right)} + 6 \, a b c d^{2} f^{2} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d} + 1\right)} - 3 \, a^{2} d^{3} f^{2} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d} + 1\right)} + \frac{3 \, {\left(b f x + d x e + a f + c e\right)} b^{2} c^{2} d f^{2} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d}\right)}}{d x + c} - \frac{6 \, {\left(b f x + d x e + a f + c e\right)} a b c d^{2} f^{2} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d}\right)}}{d x + c} + \frac{3 \, {\left(b f x + d x e + a f + c e\right)} a^{2} d^{3} f^{2} {\rm Ei}\left(-\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(\frac{b f + d e}{d}\right)}}{d x + c} - 3 \, b^{2} c^{2} d f^{2} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d} + 1\right)} + 6 \, a b c d^{2} f^{2} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d} + 1\right)} - 3 \, a^{2} d^{3} f^{2} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d} + 1\right)} + 3 \, b^{2} c^{2} d f^{2} {\rm Ei}\left(\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{3 \, {\left(b f + d e\right)}}{d} + 1\right)} - 6 \, a b c d^{2} f^{2} {\rm Ei}\left(\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{3 \, {\left(b f + d e\right)}}{d} + 1\right)} + 3 \, a^{2} d^{3} f^{2} {\rm Ei}\left(\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{3 \, {\left(b f + d e\right)}}{d} + 1\right)} + \frac{3 \, {\left(b f x + d x e + a f + c e\right)} b^{2} c^{2} d f^{2} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d}\right)}}{d x + c} - \frac{6 \, {\left(b f x + d x e + a f + c e\right)} a b c d^{2} f^{2} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d}\right)}}{d x + c} + \frac{3 \, {\left(b f x + d x e + a f + c e\right)} a^{2} d^{3} f^{2} {\rm Ei}\left(\frac{b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b f + d e}{d}\right)}}{d x + c} - \frac{3 \, {\left(b f x + d x e + a f + c e\right)} b^{2} c^{2} d f^{2} {\rm Ei}\left(\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{3 \, {\left(b f + d e\right)}}{d}\right)}}{d x + c} + \frac{6 \, {\left(b f x + d x e + a f + c e\right)} a b c d^{2} f^{2} {\rm Ei}\left(\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{3 \, {\left(b f + d e\right)}}{d}\right)}}{d x + c} - \frac{3 \, {\left(b f x + d x e + a f + c e\right)} a^{2} d^{3} f^{2} {\rm Ei}\left(\frac{3 \, {\left(b f + d e - \frac{{\left(b f x + d x e + a f + c e\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{3 \, {\left(b f + d e\right)}}{d}\right)}}{d x + c} + b^{2} c^{2} d f^{2} e^{\left(\frac{3 \, {\left(b f x + d x e + a f + c e\right)}}{d x + c}\right)} - 2 \, a b c d^{2} f^{2} e^{\left(\frac{3 \, {\left(b f x + d x e + a f + c e\right)}}{d x + c}\right)} + a^{2} d^{3} f^{2} e^{\left(\frac{3 \, {\left(b f x + d x e + a f + c e\right)}}{d x + c}\right)} - 3 \, b^{2} c^{2} d f^{2} e^{\left(\frac{b f x + d x e + a f + c e}{d x + c}\right)} + 6 \, a b c d^{2} f^{2} e^{\left(\frac{b f x + d x e + a f + c e}{d x + c}\right)} - 3 \, a^{2} d^{3} f^{2} e^{\left(\frac{b f x + d x e + a f + c e}{d x + c}\right)} + 3 \, b^{2} c^{2} d f^{2} e^{\left(-\frac{b f x + d x e + a f + c e}{d x + c}\right)} - 6 \, a b c d^{2} f^{2} e^{\left(-\frac{b f x + d x e + a f + c e}{d x + c}\right)} + 3 \, a^{2} d^{3} f^{2} e^{\left(-\frac{b f x + d x e + a f + c e}{d x + c}\right)} - b^{2} c^{2} d f^{2} e^{\left(-\frac{3 \, {\left(b f x + d x e + a f + c e\right)}}{d x + c}\right)} + 2 \, a b c d^{2} f^{2} e^{\left(-\frac{3 \, {\left(b f x + d x e + a f + c e\right)}}{d x + c}\right)} - a^{2} d^{3} f^{2} e^{\left(-\frac{3 \, {\left(b f x + d x e + a f + c e\right)}}{d x + c}\right)}\right)} {\left(\frac{{\left(b f + d e\right)} c}{{\left(b c f - a d f\right)}^{2}} - \frac{{\left(a f + c e\right)} d}{{\left(b c f - a d f\right)}^{2}}\right)}}{8 \, {\left(b d^{2} f + d^{3} e - \frac{{\left(b f x + d x e + a f + c e\right)} d^{3}}{d x + c}\right)}}"," ",0,"1/8*(3*b^3*c^2*f^3*Ei(-3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(3*(b*f + d*e)/d) - 6*a*b^2*c*d*f^3*Ei(-3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(3*(b*f + d*e)/d) + 3*a^2*b*d^2*f^3*Ei(-3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(3*(b*f + d*e)/d) - 3*b^3*c^2*f^3*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d) + 6*a*b^2*c*d*f^3*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d) - 3*a^2*b*d^2*f^3*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d) - 3*b^3*c^2*f^3*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d) + 6*a*b^2*c*d*f^3*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d) - 3*a^2*b*d^2*f^3*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d) + 3*b^3*c^2*f^3*Ei(3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-3*(b*f + d*e)/d) - 6*a*b^2*c*d*f^3*Ei(3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-3*(b*f + d*e)/d) + 3*a^2*b*d^2*f^3*Ei(3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-3*(b*f + d*e)/d) - 3*(b*f*x + d*x*e + a*f + c*e)*b^2*c^2*d*f^2*Ei(-3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(3*(b*f + d*e)/d)/(d*x + c) + 6*(b*f*x + d*x*e + a*f + c*e)*a*b*c*d^2*f^2*Ei(-3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(3*(b*f + d*e)/d)/(d*x + c) - 3*(b*f*x + d*x*e + a*f + c*e)*a^2*d^3*f^2*Ei(-3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(3*(b*f + d*e)/d)/(d*x + c) + 3*b^2*c^2*d*f^2*Ei(-3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(3*(b*f + d*e)/d + 1) - 6*a*b*c*d^2*f^2*Ei(-3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(3*(b*f + d*e)/d + 1) + 3*a^2*d^3*f^2*Ei(-3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(3*(b*f + d*e)/d + 1) - 3*b^2*c^2*d*f^2*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d + 1) + 6*a*b*c*d^2*f^2*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d + 1) - 3*a^2*d^3*f^2*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d + 1) + 3*(b*f*x + d*x*e + a*f + c*e)*b^2*c^2*d*f^2*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d)/(d*x + c) - 6*(b*f*x + d*x*e + a*f + c*e)*a*b*c*d^2*f^2*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d)/(d*x + c) + 3*(b*f*x + d*x*e + a*f + c*e)*a^2*d^3*f^2*Ei(-(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^((b*f + d*e)/d)/(d*x + c) - 3*b^2*c^2*d*f^2*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d + 1) + 6*a*b*c*d^2*f^2*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d + 1) - 3*a^2*d^3*f^2*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d + 1) + 3*b^2*c^2*d*f^2*Ei(3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-3*(b*f + d*e)/d + 1) - 6*a*b*c*d^2*f^2*Ei(3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-3*(b*f + d*e)/d + 1) + 3*a^2*d^3*f^2*Ei(3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-3*(b*f + d*e)/d + 1) + 3*(b*f*x + d*x*e + a*f + c*e)*b^2*c^2*d*f^2*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d)/(d*x + c) - 6*(b*f*x + d*x*e + a*f + c*e)*a*b*c*d^2*f^2*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d)/(d*x + c) + 3*(b*f*x + d*x*e + a*f + c*e)*a^2*d^3*f^2*Ei((b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-(b*f + d*e)/d)/(d*x + c) - 3*(b*f*x + d*x*e + a*f + c*e)*b^2*c^2*d*f^2*Ei(3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-3*(b*f + d*e)/d)/(d*x + c) + 6*(b*f*x + d*x*e + a*f + c*e)*a*b*c*d^2*f^2*Ei(3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-3*(b*f + d*e)/d)/(d*x + c) - 3*(b*f*x + d*x*e + a*f + c*e)*a^2*d^3*f^2*Ei(3*(b*f + d*e - (b*f*x + d*x*e + a*f + c*e)*d/(d*x + c))/d)*e^(-3*(b*f + d*e)/d)/(d*x + c) + b^2*c^2*d*f^2*e^(3*(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) - 2*a*b*c*d^2*f^2*e^(3*(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) + a^2*d^3*f^2*e^(3*(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) - 3*b^2*c^2*d*f^2*e^((b*f*x + d*x*e + a*f + c*e)/(d*x + c)) + 6*a*b*c*d^2*f^2*e^((b*f*x + d*x*e + a*f + c*e)/(d*x + c)) - 3*a^2*d^3*f^2*e^((b*f*x + d*x*e + a*f + c*e)/(d*x + c)) + 3*b^2*c^2*d*f^2*e^(-(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) - 6*a*b*c*d^2*f^2*e^(-(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) + 3*a^2*d^3*f^2*e^(-(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) - b^2*c^2*d*f^2*e^(-3*(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) + 2*a*b*c*d^2*f^2*e^(-3*(b*f*x + d*x*e + a*f + c*e)/(d*x + c)) - a^2*d^3*f^2*e^(-3*(b*f*x + d*x*e + a*f + c*e)/(d*x + c)))*((b*f + d*e)*c/(b*c*f - a*d*f)^2 - (a*f + c*e)*d/(b*c*f - a*d*f)^2)/(b*d^2*f + d^3*e - (b*f*x + d*x*e + a*f + c*e)*d^3/(d*x + c))","B",0
301,1,60,0,0.126530," ","integrate(exp(b*x+a)*sinh(b*x+a)^4,x, algorithm=""giac"")","\frac{5 \, {\left(12 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-3 \, b x - 3 \, a\right)} + 3 \, e^{\left(5 \, b x + 5 \, a\right)} - 20 \, e^{\left(3 \, b x + 3 \, a\right)} + 90 \, e^{\left(b x + a\right)}}{240 \, b}"," ",0,"1/240*(5*(12*e^(2*b*x + 2*a) - 1)*e^(-3*b*x - 3*a) + 3*e^(5*b*x + 5*a) - 20*e^(3*b*x + 3*a) + 90*e^(b*x + a))/b","A",0
302,1,57,0,0.135530," ","integrate(exp(b*x+a)*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{12 \, b x - 2 \, {\left(3 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-2 \, b x - 2 \, a\right)} + 12 \, a + e^{\left(4 \, b x + 4 \, a\right)} - 6 \, e^{\left(2 \, b x + 2 \, a\right)}}{32 \, b}"," ",0,"1/32*(12*b*x - 2*(3*e^(2*b*x + 2*a) - 1)*e^(-2*b*x - 2*a) + 12*a + e^(4*b*x + 4*a) - 6*e^(2*b*x + 2*a))/b","A",0
303,1,34,0,0.135723," ","integrate(exp(b*x+a)*sinh(b*x+a)^2,x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + 3 \, a\right)} - 6 \, e^{\left(b x + a\right)} - 3 \, e^{\left(-b x - a\right)}}{12 \, b}"," ",0,"1/12*(e^(3*b*x + 3*a) - 6*e^(b*x + a) - 3*e^(-b*x - a))/b","A",0
304,1,24,0,0.110359," ","integrate(exp(b*x+a)*sinh(b*x+a),x, algorithm=""giac"")","-\frac{2 \, b x + 2 \, a - e^{\left(2 \, b x + 2 \, a\right)}}{4 \, b}"," ",0,"-1/4*(2*b*x + 2*a - e^(2*b*x + 2*a))/b","A",0
305,1,24,0,0.116260," ","integrate(exp(b*x+a)*csch(b*x+a),x, algorithm=""giac"")","\frac{\log\left(e^{\left(b x + a\right)} + 1\right) + \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{b}"," ",0,"(log(e^(b*x + a) + 1) + log(abs(e^(b*x + a) - 1)))/b","A",0
306,1,48,0,0.134018," ","integrate(exp(b*x+a)*csch(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{2 \, e^{\left(b x + a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} - 1} + \log\left(e^{\left(b x + a\right)} + 1\right) - \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{b}"," ",0,"-(2*e^(b*x + a)/(e^(2*b*x + 2*a) - 1) + log(e^(b*x + a) + 1) - log(abs(e^(b*x + a) - 1)))/b","A",0
307,1,31,0,0.126325," ","integrate(exp(b*x+a)*csch(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, {\left(2 \, e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}}{b {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{2}}"," ",0,"-2*(2*e^(2*b*x + 2*a) - 1)/(b*(e^(2*b*x + 2*a) - 1)^2)","A",0
308,1,75,0,0.138279," ","integrate(exp(b*x+a)*csch(b*x+a)^4,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(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)}\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{3}} - 3 \, \log\left(e^{\left(b x + a\right)} + 1\right) + 3 \, \log\left({\left| e^{\left(b x + a\right)} - 1 \right|}\right)}{6 \, b}"," ",0,"-1/6*(2*(3*e^(5*b*x + 5*a) + 8*e^(3*b*x + 3*a) - 3*e^(b*x + a))/(e^(2*b*x + 2*a) - 1)^3 - 3*log(e^(b*x + a) + 1) + 3*log(abs(e^(b*x + a) - 1)))/b","A",0
309,1,42,0,0.130449," ","integrate(exp(b*x+a)*csch(b*x+a)^5,x, algorithm=""giac"")","-\frac{4 \, {\left(6 \, e^{\left(4 \, b x + 4 \, a\right)} - 4 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}}{3 \, b {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)}^{4}}"," ",0,"-4/3*(6*e^(4*b*x + 4*a) - 4*e^(2*b*x + 2*a) + 1)/(b*(e^(2*b*x + 2*a) - 1)^4)","A",0
310,1,17,0,0.111294," ","integrate(exp(x)*sinh(2*x)^2,x, algorithm=""giac"")","\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
311,1,13,0,0.130512," ","integrate(exp(x)*sinh(2*x),x, algorithm=""giac"")","\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
312,1,19,0,0.125950," ","integrate(exp(x)*csch(2*x),x, algorithm=""giac"")","\arctan\left(e^{x}\right) - \frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"arctan(e^x) - 1/2*log(e^x + 1) + 1/2*log(abs(e^x - 1))","B",0
313,1,33,0,0.114140," ","integrate(exp(x)*csch(2*x)^2,x, algorithm=""giac"")","-\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({\left| e^{x} - 1 \right|}\right)"," ",0,"-e^x/(e^(4*x) - 1) - 1/2*arctan(e^x) - 1/4*log(e^x + 1) + 1/4*log(abs(e^x - 1))","A",0
314,1,17,0,0.112777," ","integrate(exp(x)*sinh(3*x)^2,x, algorithm=""giac"")","\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
315,1,13,0,0.112083," ","integrate(exp(x)*sinh(3*x),x, algorithm=""giac"")","\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
316,1,43,0,0.134264," ","integrate(exp(x)*csch(3*x),x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{\left(2 \, x\right)} + 1\right)}\right) - \frac{1}{6} \, \log\left(e^{\left(4 \, x\right)} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{3} \, \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*e^(2*x) + 1)) - 1/6*log(e^(4*x) + e^(2*x) + 1) + 1/3*log(abs(e^(2*x) - 1))","A",0
317,1,86,0,0.126287," ","integrate(exp(x)*csch(3*x)^2,x, algorithm=""giac"")","-\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{x} + 1\right)}\right) - \frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{x} - 1\right)}\right) - \frac{2 \, e^{x}}{3 \, {\left(e^{\left(6 \, x\right)} - 1\right)}} - \frac{1}{18} \, \log\left(e^{\left(2 \, x\right)} + e^{x} + 1\right) + \frac{1}{18} \, \log\left(e^{\left(2 \, x\right)} - e^{x} + 1\right) - \frac{1}{9} \, \log\left(e^{x} + 1\right) + \frac{1}{9} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*e^x + 1)) - 1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*e^x - 1)) - 2/3*e^x/(e^(6*x) - 1) - 1/18*log(e^(2*x) + e^x + 1) + 1/18*log(e^(2*x) - e^x + 1) - 1/9*log(e^x + 1) + 1/9*log(abs(e^x - 1))","A",0
318,1,17,0,0.128572," ","integrate(exp(x)*sinh(4*x)^2,x, algorithm=""giac"")","\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
319,1,13,0,0.128324," ","integrate(exp(x)*sinh(4*x),x, algorithm=""giac"")","\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
320,1,96,0,0.129923," ","integrate(exp(x)*csch(4*x),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) + \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right) + \frac{1}{8} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{8} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{2} \, \arctan\left(e^{x}\right) - \frac{1}{4} \, \log\left(e^{x} + 1\right) + \frac{1}{4} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) + 1/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x)) + 1/8*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) - 1/8*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1) - 1/2*arctan(e^x) - 1/4*log(e^x + 1) + 1/4*log(abs(e^x - 1))","A",0
321,1,108,0,0.134711," ","integrate(exp(x)*csch(4*x)^2,x, algorithm=""giac"")","-\frac{1}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) - \frac{1}{16} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right) - \frac{1}{32} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{32} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{e^{x}}{2 \, {\left(e^{\left(8 \, x\right)} - 1\right)}} - \frac{1}{8} \, \arctan\left(e^{x}\right) - \frac{1}{16} \, \log\left(e^{x} + 1\right) + \frac{1}{16} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/16*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) - 1/16*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x)) - 1/32*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) + 1/32*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1) - 1/2*e^x/(e^(8*x) - 1) - 1/8*arctan(e^x) - 1/16*log(e^x + 1) + 1/16*log(abs(e^x - 1))","A",0
322,1,1239,0,0.265558," ","integrate(F^(c*(b*x+a))*sinh(e*x+d)^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) + 3 \, e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + 3 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + 3 \, e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + 3 \, e\right)} x + 3 \, d\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 48 \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 48 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + 3 \, e\right)} x + 3 \, d\right)} - \frac{3}{4} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} - \frac{1}{2} i \, {\left(\frac{6 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 16 \, e} - \frac{6 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 16 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} + \frac{3}{4} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)} - \frac{1}{2} i \, {\left(-\frac{6 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 16 \, e} + \frac{6 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 16 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)} - \frac{1}{4} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) - 3 \, e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - 3 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - 3 \, e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - 3 \, e\right)} x - 3 \, d\right)} - \frac{1}{2} i \, {\left(\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 48 \, e} - \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 48 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - 3 \, e\right)} x - 3 \, d\right)}"," ",0,"1/4*(2*(b*c*log(abs(F)) + 3*e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + 3*e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + 3*e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + 3*e)*x + 3*d) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) + 48*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) + 48*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + 3*e)*x + 3*d) - 3/4*(2*(b*c*log(abs(F)) + e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) - 1/2*I*(6*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) + 16*e) - 6*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) + 16*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) + 3/4*(2*(b*c*log(abs(F)) - e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d) - 1/2*I*(-6*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) - 16*e) + 6*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) - 16*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d) - 1/4*(2*(b*c*log(abs(F)) - 3*e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - 3*e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - 3*e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - 3*e)*x - 3*d) - 1/2*I*(2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) - 48*e) - 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) - 48*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - 3*e)*x - 3*d)","C",0
323,1,904,0,0.221468," ","integrate(F^(c*(b*x+a))*sinh(e*x+d)^2,x, algorithm=""giac"")","-{\left(\frac{2 \, b c \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)} - \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)} x + 2 \, d\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)} x + 2 \, d\right)} + \frac{1}{2} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)} x - 2 \, d\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)} x - 2 \, d\right)}"," ",0,"-(2*b*c*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F))) - 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F))))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(2*(b*c*log(abs(F)) + 2*e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + 2*e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + 2*e)*x + 2*d) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + 2*e)*x + 2*d) + 1/2*(2*(b*c*log(abs(F)) - 2*e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - 2*e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - 2*e)*x - 2*d) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - 2*e)*x - 2*d)","C",0
324,1,612,0,0.199609," ","integrate(F^(c*(b*x+a))*sinh(e*x+d),x, algorithm=""giac"")","{\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} - \frac{1}{4} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) + 2 \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) + 2 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} - {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)} - \frac{1}{4} i \, {\left(\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) - 2 \, e} - \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) - 2 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)}"," ",0,"(2*(b*c*log(abs(F)) + e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) - 1/4*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F)) + 2*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F)) + 2*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) - (2*(b*c*log(abs(F)) - e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d) - 1/4*I*(2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F)) - 2*e) - 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F)) - 2*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d)","C",0
325,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csch(e*x+d),x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \operatorname{csch}\left(e x + d\right)\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*csch(e*x + d), x)","F",0
326,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csch(e*x+d)^2,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \operatorname{csch}\left(e x + d\right)^{2}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*csch(e*x + d)^2, x)","F",0
327,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csch(e*x+d)^3,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \operatorname{csch}\left(e x + d\right)^{3}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*csch(e*x + d)^3, x)","F",0
328,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*csch(e*x+d)^4,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \operatorname{csch}\left(e x + d\right)^{4}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*csch(e*x + d)^4, x)","F",0
329,1,269,0,0.188001," ","integrate(exp(c*(b*x+a))*(sinh(b*c*x+a*c)^2)^(5/2),x, algorithm=""giac"")","-\frac{120 \, b c x \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) - 3 \, {\left(30 \, e^{\left(4 \, b c x + 4 \, a c\right)} \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) - 10 \, e^{\left(2 \, b c x + 2 \, a c\right)} \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) + \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right)\right)} e^{\left(-4 \, b c x - 4 \, a c\right)} - {\left(2 \, e^{\left(6 \, b c x + 18 \, a c\right)} \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) - 15 \, e^{\left(4 \, b c x + 16 \, a c\right)} \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) + 60 \, e^{\left(2 \, b c x + 14 \, a c\right)} \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right)\right)} e^{\left(-12 \, a c\right)}}{384 \, b c}"," ",0,"-1/384*(120*b*c*x*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) - 3*(30*e^(4*b*c*x + 4*a*c)*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) - 10*e^(2*b*c*x + 2*a*c)*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) + sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)))*e^(-4*b*c*x - 4*a*c) - (2*e^(6*b*c*x + 18*a*c)*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) - 15*e^(4*b*c*x + 16*a*c)*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) + 60*e^(2*b*c*x + 14*a*c)*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)))*e^(-12*a*c))/(b*c)","A",0
330,1,195,0,0.153071," ","integrate(exp(c*(b*x+a))*(sinh(b*c*x+a*c)^2)^(3/2),x, algorithm=""giac"")","\frac{12 \, b c x \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) - 2 \, {\left(3 \, e^{\left(2 \, b c x + 2 \, a c\right)} \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) - \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right)\right)} e^{\left(-2 \, b c x - 2 \, a c\right)} + {\left(e^{\left(4 \, b c x + 8 \, a c\right)} \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) - 6 \, e^{\left(2 \, b c x + 6 \, a c\right)} \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right)\right)} e^{\left(-4 \, a c\right)}}{32 \, b c}"," ",0,"1/32*(12*b*c*x*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) - 2*(3*e^(2*b*c*x + 2*a*c)*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) - sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)))*e^(-2*b*c*x - 2*a*c) + (e^(4*b*c*x + 8*a*c)*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) - 6*e^(2*b*c*x + 6*a*c)*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)))*e^(-4*a*c))/(b*c)","A",0
331,1,71,0,0.123529," ","integrate(exp(c*(b*x+a))*(sinh(b*c*x+a*c)^2)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, x \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) + \frac{e^{\left(2 \, b c x + 2 \, a c\right)} \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right)}{4 \, b c}"," ",0,"-1/2*x*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) + 1/4*e^(2*b*c*x + 2*a*c)*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c))/(b*c)","A",0
332,1,85,0,0.142731," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(1/2),x, algorithm=""giac"")","\frac{\log\left(e^{\left(b c x\right)} + e^{\left(-a c\right)}\right) \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) + \log\left({\left| e^{\left(b c x\right)} - e^{\left(-a c\right)} \right|}\right) \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right)}{b c}"," ",0,"(log(e^(b*c*x) + e^(-a*c))*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) + log(abs(e^(b*c*x) - e^(-a*c)))*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)))/(b*c)","A",0
333,1,87,0,0.188342," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(2 \, e^{\left(2 \, b c x + 2 \, a c\right)} \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) - \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right)\right)}}{b c {\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)}^{2}}"," ",0,"-2*(2*e^(2*b*c*x + 2*a*c)*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) - sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)))/(b*c*(e^(2*b*c*x + 2*a*c) - 1)^2)","A",0
334,1,122,0,0.204406," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(5/2),x, algorithm=""giac"")","-\frac{4 \, {\left(6 \, e^{\left(4 \, b c x + 4 \, a c\right)} \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) - 4 \, e^{\left(2 \, b c x + 2 \, a c\right)} \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) + \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right)\right)}}{3 \, b c {\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)}^{4}}"," ",0,"-4/3*(6*e^(4*b*c*x + 4*a*c)*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) - 4*e^(2*b*c*x + 2*a*c)*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) + sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)))/(b*c*(e^(2*b*c*x + 2*a*c) - 1)^4)","A",0
335,1,161,0,0.211325," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)^2)^(7/2),x, algorithm=""giac"")","-\frac{16 \, {\left(20 \, e^{\left(6 \, b c x + 6 \, a c\right)} \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) - 15 \, e^{\left(4 \, b c x + 4 \, a c\right)} \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) + 6 \, e^{\left(2 \, b c x + 2 \, a c\right)} \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right) - \mathrm{sgn}\left(e^{\left(b c x + a c\right)} - e^{\left(-b c x - a c\right)}\right)\right)}}{15 \, b c {\left(e^{\left(2 \, b c x + 2 \, a c\right)} - 1\right)}^{6}}"," ",0,"-16/15*(20*e^(6*b*c*x + 6*a*c)*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) - 15*e^(4*b*c*x + 4*a*c)*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) + 6*e^(2*b*c*x + 2*a*c)*sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)) - sgn(e^(b*c*x + a*c) - e^(-b*c*x - a*c)))/(b*c*(e^(2*b*c*x + 2*a*c) - 1)^6)","A",0
336,1,32,0,0.114950," ","integrate(exp(x)*sinh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(b x + a + x\right)}}{2 \, {\left(b + 1\right)}} + \frac{e^{\left(-b x - a + x\right)}}{2 \, {\left(b - 1\right)}}"," ",0,"1/2*e^(b*x + a + x)/(b + 1) + 1/2*e^(-b*x - a + x)/(b - 1)","A",0
337,1,73,0,0.124598," ","integrate(exp(x)*sinh(c*x^2+a),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c} {\left(2 \, x + \frac{1}{c}\right)}\right) e^{\left(\frac{4 \, a c - 1}{4 \, c}\right)}}{4 \, \sqrt{-c}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x - \frac{1}{c}\right)}\right) e^{\left(-\frac{4 \, a c - 1}{4 \, c}\right)}}{4 \, \sqrt{c}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(-c)*(2*x + 1/c))*e^(1/4*(4*a*c - 1)/c)/sqrt(-c) + 1/4*sqrt(pi)*erf(-1/2*sqrt(c)*(2*x - 1/c))*e^(-1/4*(4*a*c - 1)/c)/sqrt(c)","A",0
338,1,91,0,0.145379," ","integrate(exp(x)*sinh(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c} {\left(2 \, x + \frac{b + 1}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c + 2 \, b + 1}{4 \, c}\right)}}{4 \, \sqrt{-c}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x + \frac{b - 1}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c - 2 \, b + 1}{4 \, c}\right)}}{4 \, \sqrt{c}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(-c)*(2*x + (b + 1)/c))*e^(-1/4*(b^2 - 4*a*c + 2*b + 1)/c)/sqrt(-c) + 1/4*sqrt(pi)*erf(-1/2*sqrt(c)*(2*x + (b - 1)/c))*e^(1/4*(b^2 - 4*a*c - 2*b + 1)/c)/sqrt(c)","A",0
339,1,45,0,0.122591," ","integrate(exp(x^2)*sinh(b*x+a),x, algorithm=""giac"")","\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
340,1,49,0,0.139606," ","integrate(exp(x^2)*sinh(c*x^2+a),x, algorithm=""giac"")","\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
341,1,101,0,0.145128," ","integrate(exp(x^2)*sinh(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c - 1} {\left(2 \, x + \frac{b}{c + 1}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c - 4 \, a}{4 \, {\left(c + 1\right)}}\right)}}{4 \, \sqrt{-c - 1}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c - 1} {\left(2 \, x + \frac{b}{c - 1}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c + 4 \, a}{4 \, {\left(c - 1\right)}}\right)}}{4 \, \sqrt{c - 1}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(-c - 1)*(2*x + b/(c + 1)))*e^(-1/4*(b^2 - 4*a*c - 4*a)/(c + 1))/sqrt(-c - 1) + 1/4*sqrt(pi)*erf(-1/2*sqrt(c - 1)*(2*x + b/(c - 1)))*e^(1/4*(b^2 - 4*a*c + 4*a)/(c - 1))/sqrt(c - 1)","A",0
342,1,106,0,0.144167," ","integrate(f^(b*x+a)*sinh(f*x^2+d),x, algorithm=""giac"")","\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{f} {\left(2 \, x - \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right)}}{4 \, \sqrt{f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-f} {\left(2 \, x + \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right)}}{4 \, \sqrt{-f}}"," ",0,"1/4*sqrt(pi)*erf(-1/2*sqrt(f)*(2*x - b*log(f)/f))*e^(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 4*d*f)/f)/sqrt(f) - 1/4*sqrt(pi)*erf(-1/2*sqrt(-f)*(2*x + b*log(f)/f))*e^(-1/4*(b^2*log(f)^2 - 4*a*f*log(f) - 4*d*f)/f)/sqrt(-f)","A",0
343,1,356,0,0.184381," ","integrate(f^(b*x+a)*sinh(f*x^2+d)^2,x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} \sqrt{f} {\left(4 \, x - \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 8 \, a f \log\left(f\right) - 16 \, d f}{8 \, f}\right)}}{16 \, \sqrt{f}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} \sqrt{-f} {\left(4 \, x + \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 8 \, a f \log\left(f\right) - 16 \, d f}{8 \, f}\right)}}{16 \, \sqrt{-f}} - {\left(\frac{2 \, b \cos\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right) \log\left({\left| f \right|}\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}} - \frac{{\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)} \sin\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi b x + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi a\right)}}{2 i \, \pi b \mathrm{sgn}\left(f\right) - 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)} - \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi b x - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a\right)}}{-2 i \, \pi b \mathrm{sgn}\left(f\right) + 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)}"," ",0,"-1/16*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*sqrt(f)*(4*x - b*log(f)/f))*e^(1/8*(b^2*log(f)^2 + 8*a*f*log(f) - 16*d*f)/f)/sqrt(f) - 1/16*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*sqrt(-f)*(4*x + b*log(f)/f))*e^(-1/8*(b^2*log(f)^2 - 8*a*f*log(f) - 16*d*f)/f)/sqrt(-f) - (2*b*cos(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)*log(abs(f))/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2) - (pi*b*sgn(f) - pi*b)*sin(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2))*e^(b*x*log(abs(f)) + a*log(abs(f))) - 1/2*I*(2*I*e^(1/2*I*pi*b*x*sgn(f) - 1/2*I*pi*b*x + 1/2*I*pi*a*sgn(f) - 1/2*I*pi*a)/(2*I*pi*b*sgn(f) - 2*I*pi*b + 4*b*log(abs(f))) - 2*I*e^(-1/2*I*pi*b*x*sgn(f) + 1/2*I*pi*b*x - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a)/(-2*I*pi*b*sgn(f) + 2*I*pi*b + 4*b*log(abs(f))))*e^(b*x*log(abs(f)) + a*log(abs(f)))","C",0
344,1,223,0,0.168445," ","integrate(f^(b*x+a)*sinh(f*x^2+d)^3,x, algorithm=""giac"")","\frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{6} \, \sqrt{3} \sqrt{f} {\left(6 \, x - \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 12 \, a f \log\left(f\right) - 36 \, d f}{12 \, f}\right)}}{48 \, \sqrt{f}} - \frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{6} \, \sqrt{3} \sqrt{-f} {\left(6 \, x + \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 12 \, a f \log\left(f\right) - 36 \, d f}{12 \, f}\right)}}{48 \, \sqrt{-f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{f} {\left(2 \, x - \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right)}}{16 \, \sqrt{f}} + \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-f} {\left(2 \, x + \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right)}}{16 \, \sqrt{-f}}"," ",0,"1/48*sqrt(3)*sqrt(pi)*erf(-1/6*sqrt(3)*sqrt(f)*(6*x - b*log(f)/f))*e^(1/12*(b^2*log(f)^2 + 12*a*f*log(f) - 36*d*f)/f)/sqrt(f) - 1/48*sqrt(3)*sqrt(pi)*erf(-1/6*sqrt(3)*sqrt(-f)*(6*x + b*log(f)/f))*e^(-1/12*(b^2*log(f)^2 - 12*a*f*log(f) - 36*d*f)/f)/sqrt(-f) - 3/16*sqrt(pi)*erf(-1/2*sqrt(f)*(2*x - b*log(f)/f))*e^(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 4*d*f)/f)/sqrt(f) + 3/16*sqrt(pi)*erf(-1/2*sqrt(-f)*(2*x + b*log(f)/f))*e^(-1/4*(b^2*log(f)^2 - 4*a*f*log(f) - 4*d*f)/f)/sqrt(-f)","A",0
345,1,134,0,0.137181," ","integrate(f^(b*x+a)*sinh(f*x^2+e*x+d),x, algorithm=""giac"")","\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{f} {\left(2 \, x - \frac{b \log\left(f\right) - e}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 2 \, b e \log\left(f\right) - 4 \, d f + e^{2}}{4 \, f}\right)}}{4 \, \sqrt{f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-f} {\left(2 \, x + \frac{b \log\left(f\right) + e}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) + 2 \, b e \log\left(f\right) - 4 \, d f + e^{2}}{4 \, f}\right)}}{4 \, \sqrt{-f}}"," ",0,"1/4*sqrt(pi)*erf(-1/2*sqrt(f)*(2*x - (b*log(f) - e)/f))*e^(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 2*b*e*log(f) - 4*d*f + e^2)/f)/sqrt(f) - 1/4*sqrt(pi)*erf(-1/2*sqrt(-f)*(2*x + (b*log(f) + e)/f))*e^(-1/4*(b^2*log(f)^2 - 4*a*f*log(f) + 2*b*e*log(f) - 4*d*f + e^2)/f)/sqrt(-f)","A",0
346,1,390,0,0.199170," ","integrate(f^(b*x+a)*sinh(f*x^2+e*x+d)^2,x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} \sqrt{f} {\left(4 \, x - \frac{b \log\left(f\right) - 2 \, e}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 8 \, a f \log\left(f\right) - 4 \, b e \log\left(f\right) - 16 \, d f + 4 \, e^{2}}{8 \, f}\right)}}{16 \, \sqrt{f}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} \sqrt{-f} {\left(4 \, x + \frac{b \log\left(f\right) + 2 \, e}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 8 \, a f \log\left(f\right) + 4 \, b e \log\left(f\right) - 16 \, d f + 4 \, e^{2}}{8 \, f}\right)}}{16 \, \sqrt{-f}} - {\left(\frac{2 \, b \cos\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right) \log\left({\left| f \right|}\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}} - \frac{{\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)} \sin\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} - \frac{1}{2} i \, {\left(\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi b x + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi a\right)}}{2 i \, \pi b \mathrm{sgn}\left(f\right) - 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)} - \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi b x - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a\right)}}{-2 i \, \pi b \mathrm{sgn}\left(f\right) + 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)}"," ",0,"-1/16*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*sqrt(f)*(4*x - (b*log(f) - 2*e)/f))*e^(1/8*(b^2*log(f)^2 + 8*a*f*log(f) - 4*b*e*log(f) - 16*d*f + 4*e^2)/f)/sqrt(f) - 1/16*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*sqrt(-f)*(4*x + (b*log(f) + 2*e)/f))*e^(-1/8*(b^2*log(f)^2 - 8*a*f*log(f) + 4*b*e*log(f) - 16*d*f + 4*e^2)/f)/sqrt(-f) - (2*b*cos(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)*log(abs(f))/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2) - (pi*b*sgn(f) - pi*b)*sin(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2))*e^(b*x*log(abs(f)) + a*log(abs(f))) - 1/2*I*(2*I*e^(1/2*I*pi*b*x*sgn(f) - 1/2*I*pi*b*x + 1/2*I*pi*a*sgn(f) - 1/2*I*pi*a)/(2*I*pi*b*sgn(f) - 2*I*pi*b + 4*b*log(abs(f))) - 2*I*e^(-1/2*I*pi*b*x*sgn(f) + 1/2*I*pi*b*x - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a)/(-2*I*pi*b*sgn(f) + 2*I*pi*b + 4*b*log(abs(f))))*e^(b*x*log(abs(f)) + a*log(abs(f)))","C",0
347,1,285,0,0.185892," ","integrate(f^(b*x+a)*sinh(f*x^2+e*x+d)^3,x, algorithm=""giac"")","\frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{6} \, \sqrt{3} \sqrt{f} {\left(6 \, x - \frac{b \log\left(f\right) - 3 \, e}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 12 \, a f \log\left(f\right) - 6 \, b e \log\left(f\right) - 36 \, d f + 9 \, e^{2}}{12 \, f}\right)}}{48 \, \sqrt{f}} - \frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{6} \, \sqrt{3} \sqrt{-f} {\left(6 \, x + \frac{b \log\left(f\right) + 3 \, e}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 12 \, a f \log\left(f\right) + 6 \, b e \log\left(f\right) - 36 \, d f + 9 \, e^{2}}{12 \, f}\right)}}{48 \, \sqrt{-f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{f} {\left(2 \, x - \frac{b \log\left(f\right) - e}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 2 \, b e \log\left(f\right) - 4 \, d f + e^{2}}{4 \, f}\right)}}{16 \, \sqrt{f}} + \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-f} {\left(2 \, x + \frac{b \log\left(f\right) + e}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) + 2 \, b e \log\left(f\right) - 4 \, d f + e^{2}}{4 \, f}\right)}}{16 \, \sqrt{-f}}"," ",0,"1/48*sqrt(3)*sqrt(pi)*erf(-1/6*sqrt(3)*sqrt(f)*(6*x - (b*log(f) - 3*e)/f))*e^(1/12*(b^2*log(f)^2 + 12*a*f*log(f) - 6*b*e*log(f) - 36*d*f + 9*e^2)/f)/sqrt(f) - 1/48*sqrt(3)*sqrt(pi)*erf(-1/6*sqrt(3)*sqrt(-f)*(6*x + (b*log(f) + 3*e)/f))*e^(-1/12*(b^2*log(f)^2 - 12*a*f*log(f) + 6*b*e*log(f) - 36*d*f + 9*e^2)/f)/sqrt(-f) - 3/16*sqrt(pi)*erf(-1/2*sqrt(f)*(2*x - (b*log(f) - e)/f))*e^(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 2*b*e*log(f) - 4*d*f + e^2)/f)/sqrt(f) + 3/16*sqrt(pi)*erf(-1/2*sqrt(-f)*(2*x + (b*log(f) + e)/f))*e^(-1/4*(b^2*log(f)^2 - 4*a*f*log(f) + 2*b*e*log(f) - 4*d*f + e^2)/f)/sqrt(-f)","A",0
348,1,132,0,0.145737," ","integrate(f^(c*x^2+a)*sinh(e*x+d),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)}}{4 \, \sqrt{-c \log\left(f\right)}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x - \frac{e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)}}{4 \, \sqrt{-c \log\left(f\right)}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + e/(c*log(f))))*e^(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) - e^2)/(c*log(f)))/sqrt(-c*log(f)) + 1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x - e/(c*log(f))))*e^(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - e^2)/(c*log(f)))/sqrt(-c*log(f))","A",0
349,1,150,0,0.158745," ","integrate(f^(c*x^2+a)*sinh(e*x+d)^2,x, algorithm=""giac"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right)} x\right)}{4 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right)} {\left(x + \frac{e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{a c \log\left(f\right)^{2} + 2 \, c d \log\left(f\right) - e^{2}}{c \log\left(f\right)}\right)}}{8 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right)} {\left(x - \frac{e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{a c \log\left(f\right)^{2} - 2 \, c d \log\left(f\right) - e^{2}}{c \log\left(f\right)}\right)}}{8 \, \sqrt{-c \log\left(f\right)}}"," ",0,"1/4*sqrt(pi)*f^a*erf(-sqrt(-c*log(f))*x)/sqrt(-c*log(f)) - 1/8*sqrt(pi)*erf(-sqrt(-c*log(f))*(x + e/(c*log(f))))*e^((a*c*log(f)^2 + 2*c*d*log(f) - e^2)/(c*log(f)))/sqrt(-c*log(f)) - 1/8*sqrt(pi)*erf(-sqrt(-c*log(f))*(x - e/(c*log(f))))*e^((a*c*log(f)^2 - 2*c*d*log(f) - e^2)/(c*log(f)))/sqrt(-c*log(f))","A",0
350,1,264,0,0.159503," ","integrate(f^(c*x^2+a)*sinh(e*x+d)^3,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{3 \, e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} + 12 \, c d \log\left(f\right) - 9 \, e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} + \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x - \frac{e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x - \frac{3 \, e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} - 12 \, c d \log\left(f\right) - 9 \, e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}}"," ",0,"-1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + 3*e/(c*log(f))))*e^(1/4*(4*a*c*log(f)^2 + 12*c*d*log(f) - 9*e^2)/(c*log(f)))/sqrt(-c*log(f)) + 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + e/(c*log(f))))*e^(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) - e^2)/(c*log(f)))/sqrt(-c*log(f)) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x - e/(c*log(f))))*e^(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - e^2)/(c*log(f)))/sqrt(-c*log(f)) + 1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x - 3*e/(c*log(f))))*e^(1/4*(4*a*c*log(f)^2 - 12*c*d*log(f) - 9*e^2)/(c*log(f)))/sqrt(-c*log(f))","A",0
351,1,75,0,0.154840," ","integrate(f^(c*x^2+a)*sinh(f*x^2+d),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) - f} x\right) e^{\left(a \log\left(f\right) + d\right)}}{4 \, \sqrt{-c \log\left(f\right) - f}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) + f} x\right) e^{\left(a \log\left(f\right) - d\right)}}{4 \, \sqrt{-c \log\left(f\right) + f}}"," ",0,"-1/4*sqrt(pi)*erf(-sqrt(-c*log(f) - f)*x)*e^(a*log(f) + d)/sqrt(-c*log(f) - f) + 1/4*sqrt(pi)*erf(-sqrt(-c*log(f) + f)*x)*e^(a*log(f) - d)/sqrt(-c*log(f) + f)","A",0
352,1,107,0,0.140962," ","integrate(f^(c*x^2+a)*sinh(f*x^2+d)^2,x, algorithm=""giac"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right)} x\right)}{4 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) - 2 \, f} x\right) e^{\left(a \log\left(f\right) + 2 \, d\right)}}{8 \, \sqrt{-c \log\left(f\right) - 2 \, f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) + 2 \, f} x\right) e^{\left(a \log\left(f\right) - 2 \, d\right)}}{8 \, \sqrt{-c \log\left(f\right) + 2 \, f}}"," ",0,"1/4*sqrt(pi)*f^a*erf(-sqrt(-c*log(f))*x)/sqrt(-c*log(f)) - 1/8*sqrt(pi)*erf(-sqrt(-c*log(f) - 2*f)*x)*e^(a*log(f) + 2*d)/sqrt(-c*log(f) - 2*f) - 1/8*sqrt(pi)*erf(-sqrt(-c*log(f) + 2*f)*x)*e^(a*log(f) - 2*d)/sqrt(-c*log(f) + 2*f)","A",0
353,1,155,0,0.155149," ","integrate(f^(c*x^2+a)*sinh(f*x^2+d)^3,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) - 3 \, f} x\right) e^{\left(a \log\left(f\right) + 3 \, d\right)}}{16 \, \sqrt{-c \log\left(f\right) - 3 \, f}} + \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) - f} x\right) e^{\left(a \log\left(f\right) + d\right)}}{16 \, \sqrt{-c \log\left(f\right) - f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) + f} x\right) e^{\left(a \log\left(f\right) - d\right)}}{16 \, \sqrt{-c \log\left(f\right) + f}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) + 3 \, f} x\right) e^{\left(a \log\left(f\right) - 3 \, d\right)}}{16 \, \sqrt{-c \log\left(f\right) + 3 \, f}}"," ",0,"-1/16*sqrt(pi)*erf(-sqrt(-c*log(f) - 3*f)*x)*e^(a*log(f) + 3*d)/sqrt(-c*log(f) - 3*f) + 3/16*sqrt(pi)*erf(-sqrt(-c*log(f) - f)*x)*e^(a*log(f) + d)/sqrt(-c*log(f) - f) - 3/16*sqrt(pi)*erf(-sqrt(-c*log(f) + f)*x)*e^(a*log(f) - d)/sqrt(-c*log(f) + f) + 1/16*sqrt(pi)*erf(-sqrt(-c*log(f) + 3*f)*x)*e^(a*log(f) - 3*d)/sqrt(-c*log(f) + 3*f)","A",0
354,1,172,0,0.140590," ","integrate(f^(c*x^2+a)*sinh(f*x^2+e*x+d),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - f} {\left(2 \, x + \frac{e}{c \log\left(f\right) + f}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) + 4 \, a f \log\left(f\right) + 4 \, d f - e^{2}}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)}}{4 \, \sqrt{-c \log\left(f\right) - f}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + f} {\left(2 \, x - \frac{e}{c \log\left(f\right) - f}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - 4 \, a f \log\left(f\right) + 4 \, d f - 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)*erf(-1/2*sqrt(-c*log(f) - f)*(2*x + e/(c*log(f) + f)))*e^(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) + 4*a*f*log(f) + 4*d*f - e^2)/(c*log(f) + f))/sqrt(-c*log(f) - f) + 1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + f)*(2*x - e/(c*log(f) - f)))*e^(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - 4*a*f*log(f) + 4*d*f - e^2)/(c*log(f) - f))/sqrt(-c*log(f) + f)","A",0
355,1,198,0,0.177134," ","integrate(f^(c*x^2+a)*sinh(f*x^2+e*x+d)^2,x, algorithm=""giac"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right)} x\right)}{4 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) - 2 \, f} {\left(x + \frac{e}{c \log\left(f\right) + 2 \, f}\right)}\right) e^{\left(\frac{a c \log\left(f\right)^{2} + 2 \, c d \log\left(f\right) + 2 \, a f \log\left(f\right) + 4 \, d f - e^{2}}{c \log\left(f\right) + 2 \, f}\right)}}{8 \, \sqrt{-c \log\left(f\right) - 2 \, f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) + 2 \, f} {\left(x - \frac{e}{c \log\left(f\right) - 2 \, f}\right)}\right) e^{\left(\frac{a c \log\left(f\right)^{2} - 2 \, c d \log\left(f\right) - 2 \, a f \log\left(f\right) + 4 \, d f - e^{2}}{c \log\left(f\right) - 2 \, f}\right)}}{8 \, \sqrt{-c \log\left(f\right) + 2 \, f}}"," ",0,"1/4*sqrt(pi)*f^a*erf(-sqrt(-c*log(f))*x)/sqrt(-c*log(f)) - 1/8*sqrt(pi)*erf(-sqrt(-c*log(f) - 2*f)*(x + e/(c*log(f) + 2*f)))*e^((a*c*log(f)^2 + 2*c*d*log(f) + 2*a*f*log(f) + 4*d*f - e^2)/(c*log(f) + 2*f))/sqrt(-c*log(f) - 2*f) - 1/8*sqrt(pi)*erf(-sqrt(-c*log(f) + 2*f)*(x - e/(c*log(f) - 2*f)))*e^((a*c*log(f)^2 - 2*c*d*log(f) - 2*a*f*log(f) + 4*d*f - e^2)/(c*log(f) - 2*f))/sqrt(-c*log(f) + 2*f)","A",0
356,1,352,0,0.181374," ","integrate(f^(c*x^2+a)*sinh(f*x^2+e*x+d)^3,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - 3 \, f} {\left(2 \, x + \frac{3 \, e}{c \log\left(f\right) + 3 \, f}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} + 12 \, c d \log\left(f\right) + 12 \, a f \log\left(f\right) + 36 \, d f - 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} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - f} {\left(2 \, x + \frac{e}{c \log\left(f\right) + f}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) + 4 \, a f \log\left(f\right) + 4 \, d f - e^{2}}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) - f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + f} {\left(2 \, x - \frac{e}{c \log\left(f\right) - f}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - 4 \, a f \log\left(f\right) + 4 \, d f - e^{2}}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) + f}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + 3 \, f} {\left(2 \, x - \frac{3 \, e}{c \log\left(f\right) - 3 \, f}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} - 12 \, c d \log\left(f\right) - 12 \, a f \log\left(f\right) + 36 \, d f - 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)*erf(-1/2*sqrt(-c*log(f) - 3*f)*(2*x + 3*e/(c*log(f) + 3*f)))*e^(1/4*(4*a*c*log(f)^2 + 12*c*d*log(f) + 12*a*f*log(f) + 36*d*f - 9*e^2)/(c*log(f) + 3*f))/sqrt(-c*log(f) - 3*f) + 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - f)*(2*x + e/(c*log(f) + f)))*e^(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) + 4*a*f*log(f) + 4*d*f - e^2)/(c*log(f) + f))/sqrt(-c*log(f) - f) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + f)*(2*x - e/(c*log(f) - f)))*e^(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - 4*a*f*log(f) + 4*d*f - e^2)/(c*log(f) - f))/sqrt(-c*log(f) + f) + 1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + 3*f)*(2*x - 3*e/(c*log(f) - 3*f)))*e^(1/4*(4*a*c*log(f)^2 - 12*c*d*log(f) - 12*a*f*log(f) + 36*d*f - 9*e^2)/(c*log(f) - 3*f))/sqrt(-c*log(f) + 3*f)","A",0
357,1,169,0,0.150208," ","integrate(f^(c*x^2+b*x+a)*sinh(e*x+d),x, algorithm=""giac"")","\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) - e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - 2 \, b e \log\left(f\right) + e^{2}}{4 \, c \log\left(f\right)}\right)}}{4 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) + e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) + 2 \, b e \log\left(f\right) + e^{2}}{4 \, c \log\left(f\right)}\right)}}{4 \, \sqrt{-c \log\left(f\right)}}"," ",0,"1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) - e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 4*c*d*log(f) - 2*b*e*log(f) + e^2)/(c*log(f)))/sqrt(-c*log(f)) - 1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) + e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 4*c*d*log(f) + 2*b*e*log(f) + e^2)/(c*log(f)))/sqrt(-c*log(f))","A",0
358,1,225,0,0.164182," ","integrate(f^(c*x^2+b*x+a)*sinh(e*x+d)^2,x, algorithm=""giac"")","\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right)}{4 \, c}\right)}}{4 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) - 2 \, e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 8 \, c d \log\left(f\right) - 4 \, b e \log\left(f\right) + 4 \, e^{2}}{4 \, c \log\left(f\right)}\right)}}{8 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) + 2 \, e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 8 \, c d \log\left(f\right) + 4 \, b e \log\left(f\right) + 4 \, e^{2}}{4 \, c \log\left(f\right)}\right)}}{8 \, \sqrt{-c \log\left(f\right)}}"," ",0,"1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f))/c)/sqrt(-c*log(f)) - 1/8*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) - 2*e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 8*c*d*log(f) - 4*b*e*log(f) + 4*e^2)/(c*log(f)))/sqrt(-c*log(f)) - 1/8*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) + 2*e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 8*c*d*log(f) + 4*b*e*log(f) + 4*e^2)/(c*log(f)))/sqrt(-c*log(f))","A",0
359,1,343,0,0.180867," ","integrate(f^(c*x^2+b*x+a)*sinh(e*x+d)^3,x, algorithm=""giac"")","\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) - 3 \, e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 12 \, c d \log\left(f\right) - 6 \, b e \log\left(f\right) + 9 \, e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) - e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - 2 \, b e \log\left(f\right) + e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} + \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) + e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) + 2 \, b e \log\left(f\right) + e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) + 3 \, e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 12 \, c d \log\left(f\right) + 6 \, b e \log\left(f\right) + 9 \, e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}}"," ",0,"1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) - 3*e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 12*c*d*log(f) - 6*b*e*log(f) + 9*e^2)/(c*log(f)))/sqrt(-c*log(f)) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) - e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 4*c*d*log(f) - 2*b*e*log(f) + e^2)/(c*log(f)))/sqrt(-c*log(f)) + 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) + e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 4*c*d*log(f) + 2*b*e*log(f) + e^2)/(c*log(f)))/sqrt(-c*log(f)) - 1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) + 3*e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 12*c*d*log(f) + 6*b*e*log(f) + 9*e^2)/(c*log(f)))/sqrt(-c*log(f))","A",0
360,1,181,0,0.153893," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+d),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) + f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)}}{4 \, \sqrt{-c \log\left(f\right) - f}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) - f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)}}{4 \, \sqrt{-c \log\left(f\right) + f}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - f)*(2*x + b*log(f)/(c*log(f) + f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 4*c*d*log(f) - 4*a*f*log(f) - 4*d*f)/(c*log(f) + f))/sqrt(-c*log(f) - f) + 1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + f)*(2*x + b*log(f)/(c*log(f) - f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 4*c*d*log(f) + 4*a*f*log(f) - 4*d*f)/(c*log(f) - f))/sqrt(-c*log(f) + f)","A",0
361,1,239,0,0.170368," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+d)^2,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - 2 \, f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) + 2 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 8 \, c d \log\left(f\right) - 8 \, a f \log\left(f\right) - 16 \, d f}{4 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right)}}{8 \, \sqrt{-c \log\left(f\right) - 2 \, f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + 2 \, f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) - 2 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 8 \, c d \log\left(f\right) + 8 \, a f \log\left(f\right) - 16 \, d f}{4 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right)}}{8 \, \sqrt{-c \log\left(f\right) + 2 \, f}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right)}{4 \, c}\right)}}{4 \, \sqrt{-c \log\left(f\right)}}"," ",0,"-1/8*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - 2*f)*(2*x + b*log(f)/(c*log(f) + 2*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 8*c*d*log(f) - 8*a*f*log(f) - 16*d*f)/(c*log(f) + 2*f))/sqrt(-c*log(f) - 2*f) - 1/8*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + 2*f)*(2*x + b*log(f)/(c*log(f) - 2*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 8*c*d*log(f) + 8*a*f*log(f) - 16*d*f)/(c*log(f) - 2*f))/sqrt(-c*log(f) + 2*f) + 1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f))/c)/sqrt(-c*log(f))","A",0
362,1,369,0,0.191780," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+d)^3,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - 3 \, f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) + 3 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 12 \, c d \log\left(f\right) - 12 \, a f \log\left(f\right) - 36 \, d f}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) - 3 \, f}} + \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) + f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) - f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) - f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) + f}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + 3 \, f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) - 3 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 12 \, c d \log\left(f\right) + 12 \, a f \log\left(f\right) - 36 \, d f}{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)*erf(-1/2*sqrt(-c*log(f) - 3*f)*(2*x + b*log(f)/(c*log(f) + 3*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 12*c*d*log(f) - 12*a*f*log(f) - 36*d*f)/(c*log(f) + 3*f))/sqrt(-c*log(f) - 3*f) + 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - f)*(2*x + b*log(f)/(c*log(f) + f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 4*c*d*log(f) - 4*a*f*log(f) - 4*d*f)/(c*log(f) + f))/sqrt(-c*log(f) - f) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + f)*(2*x + b*log(f)/(c*log(f) - f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 4*c*d*log(f) + 4*a*f*log(f) - 4*d*f)/(c*log(f) - f))/sqrt(-c*log(f) + f) + 1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + 3*f)*(2*x + b*log(f)/(c*log(f) - 3*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 12*c*d*log(f) + 12*a*f*log(f) - 36*d*f)/(c*log(f) - 3*f))/sqrt(-c*log(f) + 3*f)","A",0
363,1,209,0,0.220275," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+e*x+d),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - f} {\left(2 \, x + \frac{b \log\left(f\right) + e}{c \log\left(f\right) + f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - 4 \, a f \log\left(f\right) + 2 \, b e \log\left(f\right) - 4 \, d f + e^{2}}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)}}{4 \, \sqrt{-c \log\left(f\right) - f}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + f} {\left(2 \, x + \frac{b \log\left(f\right) - e}{c \log\left(f\right) - f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) + 4 \, a f \log\left(f\right) - 2 \, b e \log\left(f\right) - 4 \, d f + 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)*erf(-1/2*sqrt(-c*log(f) - f)*(2*x + (b*log(f) + e)/(c*log(f) + f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 4*c*d*log(f) - 4*a*f*log(f) + 2*b*e*log(f) - 4*d*f + e^2)/(c*log(f) + f))/sqrt(-c*log(f) - f) + 1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + f)*(2*x + (b*log(f) - e)/(c*log(f) - f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 4*c*d*log(f) + 4*a*f*log(f) - 2*b*e*log(f) - 4*d*f + e^2)/(c*log(f) - f))/sqrt(-c*log(f) + f)","A",0
364,1,273,0,0.201941," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+e*x+d)^2,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - 2 \, f} {\left(2 \, x + \frac{b \log\left(f\right) + 2 \, e}{c \log\left(f\right) + 2 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 8 \, c d \log\left(f\right) - 8 \, a f \log\left(f\right) + 4 \, b e \log\left(f\right) - 16 \, d f + 4 \, e^{2}}{4 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right)}}{8 \, \sqrt{-c \log\left(f\right) - 2 \, f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + 2 \, f} {\left(2 \, x + \frac{b \log\left(f\right) - 2 \, e}{c \log\left(f\right) - 2 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 8 \, c d \log\left(f\right) + 8 \, a f \log\left(f\right) - 4 \, b e \log\left(f\right) - 16 \, d f + 4 \, e^{2}}{4 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right)}}{8 \, \sqrt{-c \log\left(f\right) + 2 \, f}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right)}{4 \, c}\right)}}{4 \, \sqrt{-c \log\left(f\right)}}"," ",0,"-1/8*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - 2*f)*(2*x + (b*log(f) + 2*e)/(c*log(f) + 2*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 8*c*d*log(f) - 8*a*f*log(f) + 4*b*e*log(f) - 16*d*f + 4*e^2)/(c*log(f) + 2*f))/sqrt(-c*log(f) - 2*f) - 1/8*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + 2*f)*(2*x + (b*log(f) - 2*e)/(c*log(f) - 2*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 8*c*d*log(f) + 8*a*f*log(f) - 4*b*e*log(f) - 16*d*f + 4*e^2)/(c*log(f) - 2*f))/sqrt(-c*log(f) + 2*f) + 1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f))/c)/sqrt(-c*log(f))","A",0
365,1,431,0,0.203153," ","integrate(f^(c*x^2+b*x+a)*sinh(f*x^2+e*x+d)^3,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - 3 \, f} {\left(2 \, x + \frac{b \log\left(f\right) + 3 \, e}{c \log\left(f\right) + 3 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 12 \, c d \log\left(f\right) - 12 \, a f \log\left(f\right) + 6 \, b e \log\left(f\right) - 36 \, d f + 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} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - f} {\left(2 \, x + \frac{b \log\left(f\right) + e}{c \log\left(f\right) + f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - 4 \, a f \log\left(f\right) + 2 \, b e \log\left(f\right) - 4 \, d f + e^{2}}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) - f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + f} {\left(2 \, x + \frac{b \log\left(f\right) - e}{c \log\left(f\right) - f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) + 4 \, a f \log\left(f\right) - 2 \, b e \log\left(f\right) - 4 \, d f + e^{2}}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) + f}} + \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + 3 \, f} {\left(2 \, x + \frac{b \log\left(f\right) - 3 \, e}{c \log\left(f\right) - 3 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 12 \, c d \log\left(f\right) + 12 \, a f \log\left(f\right) - 6 \, b e \log\left(f\right) - 36 \, d f + 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)*erf(-1/2*sqrt(-c*log(f) - 3*f)*(2*x + (b*log(f) + 3*e)/(c*log(f) + 3*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 12*c*d*log(f) - 12*a*f*log(f) + 6*b*e*log(f) - 36*d*f + 9*e^2)/(c*log(f) + 3*f))/sqrt(-c*log(f) - 3*f) + 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - f)*(2*x + (b*log(f) + e)/(c*log(f) + f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 4*c*d*log(f) - 4*a*f*log(f) + 2*b*e*log(f) - 4*d*f + e^2)/(c*log(f) + f))/sqrt(-c*log(f) - f) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + f)*(2*x + (b*log(f) - e)/(c*log(f) - f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 4*c*d*log(f) + 4*a*f*log(f) - 2*b*e*log(f) - 4*d*f + e^2)/(c*log(f) - f))/sqrt(-c*log(f) + f) + 1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + 3*f)*(2*x + (b*log(f) - 3*e)/(c*log(f) - 3*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 12*c*d*log(f) + 12*a*f*log(f) - 6*b*e*log(f) - 36*d*f + 9*e^2)/(c*log(f) - 3*f))/sqrt(-c*log(f) + 3*f)","A",0
366,1,35,0,0.134093," ","integrate((x+sinh(x))^2,x, algorithm=""giac"")","\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
367,1,75,0,0.128908," ","integrate((x+sinh(x))^3,x, algorithm=""giac"")","\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}{8} \, {\left(4 \, x^{2} + 8 \, x + 7\right)} e^{\left(-x\right)} - \frac{3}{16} \, {\left(2 \, x + 1\right)} e^{\left(-2 \, x\right)} + \frac{3}{8} \, {\left(4 \, x^{2} - 8 \, x + 7\right)} e^{x} + \frac{1}{24} \, e^{\left(3 \, x\right)} + \frac{1}{24} \, e^{\left(-3 \, x\right)}"," ",0,"1/4*x^4 - 3/4*x^2 + 3/16*(2*x - 1)*e^(2*x) + 3/8*(4*x^2 + 8*x + 7)*e^(-x) - 3/16*(2*x + 1)*e^(-2*x) + 3/8*(4*x^2 - 8*x + 7)*e^x + 1/24*e^(3*x) + 1/24*e^(-3*x)","A",0
368,0,0,0,0.000000," ","integrate(sinh(b*x+a)/(d*x^2+c),x, algorithm=""giac"")","\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
369,0,0,0,0.000000," ","integrate(sinh(b*x+a)/(e*x^2+d*x+c),x, algorithm=""giac"")","\int \frac{\sinh\left(b x + a\right)}{e x^{2} + d x + c}\,{d x}"," ",0,"integrate(sinh(b*x + a)/(e*x^2 + d*x + c), x)","F",0
