1,1,12,0,0.129845," ","integrate(sinh(b*x+a),x)","\begin{cases} \frac{\cosh{\left(a + b x \right)}}{b} & \text{for}\: b \neq 0 \\x \sinh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((cosh(a + b*x)/b, Ne(b, 0)), (x*sinh(a), True))","A",0
2,1,46,0,0.205446," ","integrate(sinh(b*x+a)**2,x)","\begin{cases} \frac{x \sinh^{2}{\left(a + b x \right)}}{2} - \frac{x \cosh^{2}{\left(a + b x \right)}}{2} + \frac{\sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b} & \text{for}\: b \neq 0 \\x \sinh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(a + b*x)**2/2 - x*cosh(a + b*x)**2/2 + sinh(a + b*x)*cosh(a + b*x)/(2*b), Ne(b, 0)), (x*sinh(a)**2, True))","A",0
3,1,36,0,0.404724," ","integrate(sinh(b*x+a)**3,x)","\begin{cases} \frac{\sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{b} - \frac{2 \cosh^{3}{\left(a + b x \right)}}{3 b} & \text{for}\: b \neq 0 \\x \sinh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sinh(a + b*x)**2*cosh(a + b*x)/b - 2*cosh(a + b*x)**3/(3*b), Ne(b, 0)), (x*sinh(a)**3, True))","A",0
4,1,95,0,0.831484," ","integrate(sinh(b*x+a)**4,x)","\begin{cases} \frac{3 x \sinh^{4}{\left(a + b x \right)}}{8} - \frac{3 x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{4} + \frac{3 x \cosh^{4}{\left(a + b x \right)}}{8} + \frac{5 \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8 b} - \frac{3 \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{8 b} & \text{for}\: b \neq 0 \\x \sinh^{4}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*x*sinh(a + b*x)**4/8 - 3*x*sinh(a + b*x)**2*cosh(a + b*x)**2/4 + 3*x*cosh(a + b*x)**4/8 + 5*sinh(a + b*x)**3*cosh(a + b*x)/(8*b) - 3*sinh(a + b*x)*cosh(a + b*x)**3/(8*b), Ne(b, 0)), (x*sinh(a)**4, True))","A",0
5,1,58,0,1.509672," ","integrate(sinh(b*x+a)**5,x)","\begin{cases} \frac{\sinh^{4}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{b} - \frac{4 \sinh^{2}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{3 b} + \frac{8 \cosh^{5}{\left(a + b x \right)}}{15 b} & \text{for}\: b \neq 0 \\x \sinh^{5}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sinh(a + b*x)**4*cosh(a + b*x)/b - 4*sinh(a + b*x)**2*cosh(a + b*x)**3/(3*b) + 8*cosh(a + b*x)**5/(15*b), Ne(b, 0)), (x*sinh(a)**5, True))","A",0
6,1,139,0,2.851480," ","integrate(sinh(b*x+a)**6,x)","\begin{cases} \frac{5 x \sinh^{6}{\left(a + b x \right)}}{16} - \frac{15 x \sinh^{4}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{16} + \frac{15 x \sinh^{2}{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{16} - \frac{5 x \cosh^{6}{\left(a + b x \right)}}{16} + \frac{11 \sinh^{5}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{16 b} - \frac{5 \sinh^{3}{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{6 b} + \frac{5 \sinh{\left(a + b x \right)} \cosh^{5}{\left(a + b x \right)}}{16 b} & \text{for}\: b \neq 0 \\x \sinh^{6}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((5*x*sinh(a + b*x)**6/16 - 15*x*sinh(a + b*x)**4*cosh(a + b*x)**2/16 + 15*x*sinh(a + b*x)**2*cosh(a + b*x)**4/16 - 5*x*cosh(a + b*x)**6/16 + 11*sinh(a + b*x)**5*cosh(a + b*x)/(16*b) - 5*sinh(a + b*x)**3*cosh(a + b*x)**3/(6*b) + 5*sinh(a + b*x)*cosh(a + b*x)**5/(16*b), Ne(b, 0)), (x*sinh(a)**6, True))","A",0
7,-1,0,0,0.000000," ","integrate(sinh(b*x+a)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,0,0,0,0.000000," ","integrate(sinh(b*x+a)**(5/2),x)","\int \sinh^{\frac{5}{2}}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)**(5/2), x)","F",0
9,0,0,0,0.000000," ","integrate(sinh(b*x+a)**(3/2),x)","\int \sinh^{\frac{3}{2}}{\left(a + b x \right)}\, dx"," ",0,"Integral(sinh(a + b*x)**(3/2), x)","F",0
10,0,0,0,0.000000," ","integrate(sinh(b*x+a)**(1/2),x)","\int \sqrt{\sinh{\left(a + b x \right)}}\, dx"," ",0,"Integral(sqrt(sinh(a + b*x)), x)","F",0
11,0,0,0,0.000000," ","integrate(1/sinh(b*x+a)**(1/2),x)","\int \frac{1}{\sqrt{\sinh{\left(a + b x \right)}}}\, dx"," ",0,"Integral(1/sqrt(sinh(a + b*x)), x)","F",0
12,0,0,0,0.000000," ","integrate(1/sinh(b*x+a)**(3/2),x)","\int \frac{1}{\sinh^{\frac{3}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(sinh(a + b*x)**(-3/2), x)","F",0
13,0,0,0,0.000000," ","integrate(1/sinh(b*x+a)**(5/2),x)","\int \frac{1}{\sinh^{\frac{5}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(sinh(a + b*x)**(-5/2), x)","F",0
14,0,0,0,0.000000," ","integrate(1/sinh(b*x+a)**(7/2),x)","\int \frac{1}{\sinh^{\frac{7}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(sinh(a + b*x)**(-7/2), x)","F",0
15,-1,0,0,0.000000," ","integrate((b*sinh(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,0,0,0,0.000000," ","integrate((b*sinh(d*x+c))**(5/2),x)","\int \left(b \sinh{\left(c + d x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((b*sinh(c + d*x))**(5/2), x)","F",0
17,0,0,0,0.000000," ","integrate((b*sinh(d*x+c))**(3/2),x)","\int \left(b \sinh{\left(c + d x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((b*sinh(c + d*x))**(3/2), x)","F",0
18,0,0,0,0.000000," ","integrate((b*sinh(d*x+c))**(1/2),x)","\int \sqrt{b \sinh{\left(c + d x \right)}}\, dx"," ",0,"Integral(sqrt(b*sinh(c + d*x)), x)","F",0
19,0,0,0,0.000000," ","integrate(1/(b*sinh(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{b \sinh{\left(c + d x \right)}}}\, dx"," ",0,"Integral(1/sqrt(b*sinh(c + d*x)), x)","F",0
20,0,0,0,0.000000," ","integrate(1/(b*sinh(d*x+c))**(3/2),x)","\int \frac{1}{\left(b \sinh{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((b*sinh(c + d*x))**(-3/2), x)","F",0
21,0,0,0,0.000000," ","integrate(1/(b*sinh(d*x+c))**(5/2),x)","\int \frac{1}{\left(b \sinh{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((b*sinh(c + d*x))**(-5/2), x)","F",0
22,0,0,0,0.000000," ","integrate(1/(b*sinh(d*x+c))**(7/2),x)","\int \frac{1}{\left(b \sinh{\left(c + d x \right)}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral((b*sinh(c + d*x))**(-7/2), x)","F",0
23,-1,0,0,0.000000," ","integrate((I*sinh(d*x+c))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,0,0,0,0.000000," ","integrate((I*sinh(d*x+c))**(5/2),x)","\int \left(i \sinh{\left(c + d x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((I*sinh(c + d*x))**(5/2), x)","F",0
25,0,0,0,0.000000," ","integrate((I*sinh(d*x+c))**(3/2),x)","\int \left(i \sinh{\left(c + d x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((I*sinh(c + d*x))**(3/2), x)","F",0
26,0,0,0,0.000000," ","integrate((I*sinh(d*x+c))**(1/2),x)","\int \sqrt{i \sinh{\left(c + d x \right)}}\, dx"," ",0,"Integral(sqrt(I*sinh(c + d*x)), x)","F",0
27,0,0,0,0.000000," ","integrate(1/(I*sinh(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{i \sinh{\left(c + d x \right)}}}\, dx"," ",0,"Integral(1/sqrt(I*sinh(c + d*x)), x)","F",0
28,0,0,0,0.000000," ","integrate(1/(I*sinh(d*x+c))**(3/2),x)","\int \frac{1}{\left(i \sinh{\left(c + d x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((I*sinh(c + d*x))**(-3/2), x)","F",0
29,0,0,0,0.000000," ","integrate(1/(I*sinh(d*x+c))**(5/2),x)","\int \frac{1}{\left(i \sinh{\left(c + d x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((I*sinh(c + d*x))**(-5/2), x)","F",0
30,0,0,0,0.000000," ","integrate(1/(I*sinh(d*x+c))**(7/2),x)","\int \frac{1}{\left(i \sinh{\left(c + d x \right)}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral((I*sinh(c + d*x))**(-7/2), x)","F",0
31,0,0,0,0.000000," ","integrate((b*sinh(d*x+c))**(4/3),x)","\int \left(b \sinh{\left(c + d x \right)}\right)^{\frac{4}{3}}\, dx"," ",0,"Integral((b*sinh(c + d*x))**(4/3), x)","F",0
32,0,0,0,0.000000," ","integrate((b*sinh(d*x+c))**(2/3),x)","\int \left(b \sinh{\left(c + d x \right)}\right)^{\frac{2}{3}}\, dx"," ",0,"Integral((b*sinh(c + d*x))**(2/3), x)","F",0
33,0,0,0,0.000000," ","integrate((b*sinh(d*x+c))**(1/3),x)","\int \sqrt[3]{b \sinh{\left(c + d x \right)}}\, dx"," ",0,"Integral((b*sinh(c + d*x))**(1/3), x)","F",0
34,0,0,0,0.000000," ","integrate(1/(b*sinh(d*x+c))**(1/3),x)","\int \frac{1}{\sqrt[3]{b \sinh{\left(c + d x \right)}}}\, dx"," ",0,"Integral((b*sinh(c + d*x))**(-1/3), x)","F",0
35,0,0,0,0.000000," ","integrate(1/(b*sinh(d*x+c))**(2/3),x)","\int \frac{1}{\left(b \sinh{\left(c + d x \right)}\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral((b*sinh(c + d*x))**(-2/3), x)","F",0
36,0,0,0,0.000000," ","integrate(1/(b*sinh(d*x+c))**(4/3),x)","\int \frac{1}{\left(b \sinh{\left(c + d x \right)}\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral((b*sinh(c + d*x))**(-4/3), x)","F",0
37,0,0,0,0.000000," ","integrate((b*sinh(d*x+c))**n,x)","\int \left(b \sinh{\left(c + d x \right)}\right)^{n}\, dx"," ",0,"Integral((b*sinh(c + d*x))**n, x)","F",0
38,0,0,0,0.000000," ","integrate((I*sinh(d*x+c))**n,x)","\int \left(i \sinh{\left(c + d x \right)}\right)^{n}\, dx"," ",0,"Integral((I*sinh(c + d*x))**n, x)","F",0
39,0,0,0,0.000000," ","integrate((-I*sinh(d*x+c))**n,x)","\int \left(- i \sinh{\left(c + d x \right)}\right)^{n}\, dx"," ",0,"Integral((-I*sinh(c + d*x))**n, x)","F",0
40,1,60,0,0.196363," ","integrate(sinh(x)**4/(I+sinh(x)),x)","\frac{3 i x}{2} + \frac{e^{3 x}}{24} - \frac{i e^{2 x}}{8} - \frac{7 e^{x}}{8} - \frac{7 e^{- x}}{8} + \frac{i e^{- 2 x}}{8} + \frac{e^{- 3 x}}{24} + \frac{2}{- e^{x} - i}"," ",0,"3*I*x/2 + exp(3*x)/24 - I*exp(2*x)/8 - 7*exp(x)/8 - 7*exp(-x)/8 + I*exp(-2*x)/8 + exp(-3*x)/24 + 2/(-exp(x) - I)","A",0
41,1,41,0,0.165714," ","integrate(sinh(x)**3/(I+sinh(x)),x)","- \frac{3 x}{2} + \frac{e^{2 x}}{8} - \frac{i e^{x}}{2} - \frac{i e^{- x}}{2} - \frac{e^{- 2 x}}{8} + \frac{2}{i e^{x} - 1}"," ",0,"-3*x/2 + exp(2*x)/8 - I*exp(x)/2 - I*exp(-x)/2 - exp(-2*x)/8 + 2/(I*exp(x) - 1)","A",0
42,1,20,0,0.126784," ","integrate(sinh(x)**2/(I+sinh(x)),x)","- i x + \frac{e^{x}}{2} + \frac{e^{- x}}{2} + \frac{2}{e^{x} + i}"," ",0,"-I*x + exp(x)/2 + exp(-x)/2 + 2/(exp(x) + I)","A",0
43,1,8,0,0.087741," ","integrate(sinh(x)/(I+sinh(x)),x)","x + \frac{2}{- i e^{x} + 1}"," ",0,"x + 2/(-I*exp(x) + 1)","A",0
44,0,0,0,0.000000," ","integrate(csch(x)/(I+sinh(x)),x)","\int \frac{\operatorname{csch}{\left(x \right)}}{\sinh{\left(x \right)} + i}\, dx"," ",0,"Integral(csch(x)/(sinh(x) + I), x)","F",0
45,0,0,0,0.000000," ","integrate(csch(x)**2/(I+sinh(x)),x)","\int \frac{\operatorname{csch}^{2}{\left(x \right)}}{\sinh{\left(x \right)} + i}\, dx"," ",0,"Integral(csch(x)**2/(sinh(x) + I), x)","F",0
46,0,0,0,0.000000," ","integrate(csch(x)**3/(I+sinh(x)),x)","\int \frac{\operatorname{csch}^{3}{\left(x \right)}}{\sinh{\left(x \right)} + i}\, dx"," ",0,"Integral(csch(x)**3/(sinh(x) + I), x)","F",0
47,-1,0,0,0.000000," ","integrate(csch(x)**4/(I+sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
48,1,68,0,0.210469," ","integrate(sinh(x)**4/(I+sinh(x))**2,x)","- \frac{7 x}{2} + \frac{24 e^{2 x} + 42 i e^{x} - 22}{3 i e^{3 x} - 9 e^{2 x} - 9 i e^{x} + 3} + \frac{e^{2 x}}{8} - i e^{x} - i e^{- x} - \frac{e^{- 2 x}}{8}"," ",0,"-7*x/2 + (24*exp(2*x) + 42*I*exp(x) - 22)/(3*I*exp(3*x) - 9*exp(2*x) - 9*I*exp(x) + 3) + exp(2*x)/8 - I*exp(x) - I*exp(-x) - exp(-2*x)/8","A",0
49,1,54,0,0.179712," ","integrate(sinh(x)**3/(I+sinh(x))**2,x)","- 2 i x + \frac{- 18 e^{2 x} - 30 i e^{x} + 16}{- 3 e^{3 x} - 9 i e^{2 x} + 9 e^{x} + 3 i} + \frac{e^{x}}{2} + \frac{e^{- x}}{2}"," ",0,"-2*I*x + (-18*exp(2*x) - 30*I*exp(x) + 16)/(-3*exp(3*x) - 9*I*exp(2*x) + 9*exp(x) + 3*I) + exp(x)/2 + exp(-x)/2","A",0
50,1,39,0,0.139017," ","integrate(sinh(x)**2/(I+sinh(x))**2,x)","x + \frac{12 e^{2 x} + 18 i e^{x} - 10}{- 3 i e^{3 x} + 9 e^{2 x} + 9 i e^{x} - 3}"," ",0,"x + (12*exp(2*x) + 18*I*exp(x) - 10)/(-3*I*exp(3*x) + 9*exp(2*x) + 9*I*exp(x) - 3)","A",0
51,1,37,0,0.129389," ","integrate(sinh(x)/(I+sinh(x))**2,x)","\frac{- 6 e^{2 x} - 6 i e^{x} + 4}{3 e^{3 x} + 9 i e^{2 x} - 9 e^{x} - 3 i}"," ",0,"(-6*exp(2*x) - 6*I*exp(x) + 4)/(3*exp(3*x) + 9*I*exp(2*x) - 9*exp(x) - 3*I)","A",0
52,0,0,0,0.000000," ","integrate(csch(x)/(I+sinh(x))**2,x)","\int \frac{\operatorname{csch}{\left(x \right)}}{\left(\sinh{\left(x \right)} + i\right)^{2}}\, dx"," ",0,"Integral(csch(x)/(sinh(x) + I)**2, x)","F",0
53,0,0,0,0.000000," ","integrate(csch(x)**2/(I+sinh(x))**2,x)","\int \frac{\operatorname{csch}^{2}{\left(x \right)}}{\left(\sinh{\left(x \right)} + i\right)^{2}}\, dx"," ",0,"Integral(csch(x)**2/(sinh(x) + I)**2, x)","F",0
54,-1,0,0,0.000000," ","integrate(csch(x)**3/(I+sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
55,-1,0,0,0.000000," ","integrate(csch(x)**4/(I+sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,1,17,0,0.126966," ","integrate(1/(1+I*sinh(d*x+c)),x)","\frac{2 e^{c}}{d e^{c} - i d e^{- d x}}"," ",0,"2*exp(c)/(d*exp(c) - I*d*exp(-d*x))","A",0
57,1,68,0,0.201319," ","integrate(1/(1+I*sinh(d*x+c))**2,x)","\frac{2 e^{3 c} - 6 i e^{2 c} e^{- d x}}{3 d e^{3 c} - 9 i d e^{2 c} e^{- d x} - 9 d e^{c} e^{- 2 d x} + 3 i d e^{- 3 d x}}"," ",0,"(2*exp(3*c) - 6*I*exp(2*c)*exp(-d*x))/(3*d*exp(3*c) - 9*I*d*exp(2*c)*exp(-d*x) - 9*d*exp(c)*exp(-2*d*x) + 3*I*d*exp(-3*d*x))","A",0
58,1,114,0,0.306486," ","integrate(1/(1+I*sinh(d*x+c))**3,x)","\frac{- 4 e^{5 c} + 20 i e^{4 c} e^{- d x} + 40 e^{3 c} e^{- 2 d x}}{- 15 d e^{5 c} + 75 i d e^{4 c} e^{- d x} + 150 d e^{3 c} e^{- 2 d x} - 150 i d e^{2 c} e^{- 3 d x} - 75 d e^{c} e^{- 4 d x} + 15 i d e^{- 5 d x}}"," ",0,"(-4*exp(5*c) + 20*I*exp(4*c)*exp(-d*x) + 40*exp(3*c)*exp(-2*d*x))/(-15*d*exp(5*c) + 75*I*d*exp(4*c)*exp(-d*x) + 150*d*exp(3*c)*exp(-2*d*x) - 150*I*d*exp(2*c)*exp(-3*d*x) - 75*d*exp(c)*exp(-4*d*x) + 15*I*d*exp(-5*d*x))","A",0
59,1,162,0,0.441897," ","integrate(1/(1+I*sinh(d*x+c))**4,x)","\frac{- 4 e^{7 c} + 28 i e^{6 c} e^{- d x} + 84 e^{5 c} e^{- 2 d x} - 140 i e^{4 c} e^{- 3 d x}}{- 35 d e^{7 c} + 245 i d e^{6 c} e^{- d x} + 735 d e^{5 c} e^{- 2 d x} - 1225 i d e^{4 c} e^{- 3 d x} - 1225 d e^{3 c} e^{- 4 d x} + 735 i d e^{2 c} e^{- 5 d x} + 245 d e^{c} e^{- 6 d x} - 35 i d e^{- 7 d x}}"," ",0,"(-4*exp(7*c) + 28*I*exp(6*c)*exp(-d*x) + 84*exp(5*c)*exp(-2*d*x) - 140*I*exp(4*c)*exp(-3*d*x))/(-35*d*exp(7*c) + 245*I*d*exp(6*c)*exp(-d*x) + 735*d*exp(5*c)*exp(-2*d*x) - 1225*I*d*exp(4*c)*exp(-3*d*x) - 1225*d*exp(3*c)*exp(-4*d*x) + 735*I*d*exp(2*c)*exp(-5*d*x) + 245*d*exp(c)*exp(-6*d*x) - 35*I*d*exp(-7*d*x))","A",0
60,1,17,0,0.118170," ","integrate(1/(1-I*sinh(d*x+c)),x)","\frac{2 e^{c}}{d e^{c} + i d e^{- d x}}"," ",0,"2*exp(c)/(d*exp(c) + I*d*exp(-d*x))","A",0
61,1,68,0,0.202446," ","integrate(1/(1-I*sinh(d*x+c))**2,x)","\frac{2 e^{3 c} + 6 i e^{2 c} e^{- d x}}{3 d e^{3 c} + 9 i d e^{2 c} e^{- d x} - 9 d e^{c} e^{- 2 d x} - 3 i d e^{- 3 d x}}"," ",0,"(2*exp(3*c) + 6*I*exp(2*c)*exp(-d*x))/(3*d*exp(3*c) + 9*I*d*exp(2*c)*exp(-d*x) - 9*d*exp(c)*exp(-2*d*x) - 3*I*d*exp(-3*d*x))","A",0
62,1,114,0,0.308666," ","integrate(1/(1-I*sinh(d*x+c))**3,x)","\frac{- 4 e^{5 c} - 20 i e^{4 c} e^{- d x} + 40 e^{3 c} e^{- 2 d x}}{- 15 d e^{5 c} - 75 i d e^{4 c} e^{- d x} + 150 d e^{3 c} e^{- 2 d x} + 150 i d e^{2 c} e^{- 3 d x} - 75 d e^{c} e^{- 4 d x} - 15 i d e^{- 5 d x}}"," ",0,"(-4*exp(5*c) - 20*I*exp(4*c)*exp(-d*x) + 40*exp(3*c)*exp(-2*d*x))/(-15*d*exp(5*c) - 75*I*d*exp(4*c)*exp(-d*x) + 150*d*exp(3*c)*exp(-2*d*x) + 150*I*d*exp(2*c)*exp(-3*d*x) - 75*d*exp(c)*exp(-4*d*x) - 15*I*d*exp(-5*d*x))","A",0
63,1,162,0,0.446088," ","integrate(1/(1-I*sinh(d*x+c))**4,x)","\frac{- 4 e^{7 c} - 28 i e^{6 c} e^{- d x} + 84 e^{5 c} e^{- 2 d x} + 140 i e^{4 c} e^{- 3 d x}}{- 35 d e^{7 c} - 245 i d e^{6 c} e^{- d x} + 735 d e^{5 c} e^{- 2 d x} + 1225 i d e^{4 c} e^{- 3 d x} - 1225 d e^{3 c} e^{- 4 d x} - 735 i d e^{2 c} e^{- 5 d x} + 245 d e^{c} e^{- 6 d x} + 35 i d e^{- 7 d x}}"," ",0,"(-4*exp(7*c) - 28*I*exp(6*c)*exp(-d*x) + 84*exp(5*c)*exp(-2*d*x) + 140*I*exp(4*c)*exp(-3*d*x))/(-35*d*exp(7*c) - 245*I*d*exp(6*c)*exp(-d*x) + 735*d*exp(5*c)*exp(-2*d*x) + 1225*I*d*exp(4*c)*exp(-3*d*x) - 1225*d*exp(3*c)*exp(-4*d*x) - 735*I*d*exp(2*c)*exp(-5*d*x) + 245*d*exp(c)*exp(-6*d*x) + 35*I*d*exp(-7*d*x))","A",0
64,0,0,0,0.000000," ","integrate(sinh(x)/(a+I*a*sinh(x))**(1/2),x)","\int \frac{\sinh{\left(x \right)}}{\sqrt{i a \left(\sinh{\left(x \right)} - i\right)}}\, dx"," ",0,"Integral(sinh(x)/sqrt(I*a*(sinh(x) - I)), x)","F",0
65,0,0,0,0.000000," ","integrate(sinh(x)/(a-I*a*sinh(x))**(1/2),x)","\int \frac{\sinh{\left(x \right)}}{\sqrt{- i a \left(\sinh{\left(x \right)} + i\right)}}\, dx"," ",0,"Integral(sinh(x)/sqrt(-I*a*(sinh(x) + I)), x)","F",0
66,0,0,0,0.000000," ","integrate((a+I*a*sinh(d*x+c))**(5/2),x)","\int \left(i a \sinh{\left(c + d x \right)} + a\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((I*a*sinh(c + d*x) + a)**(5/2), x)","F",0
67,0,0,0,0.000000," ","integrate((a+I*a*sinh(d*x+c))**(3/2),x)","\int \left(i a \sinh{\left(c + d x \right)} + a\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((I*a*sinh(c + d*x) + a)**(3/2), x)","F",0
68,0,0,0,0.000000," ","integrate((a+I*a*sinh(d*x+c))**(1/2),x)","\int \sqrt{i a \sinh{\left(c + d x \right)} + a}\, dx"," ",0,"Integral(sqrt(I*a*sinh(c + d*x) + a), x)","F",0
69,0,0,0,0.000000," ","integrate(1/(a+I*a*sinh(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{i a \sinh{\left(c + d x \right)} + a}}\, dx"," ",0,"Integral(1/sqrt(I*a*sinh(c + d*x) + a), x)","F",0
70,0,0,0,0.000000," ","integrate(1/(a+I*a*sinh(d*x+c))**(3/2),x)","\int \frac{1}{\left(i a \sinh{\left(c + d x \right)} + a\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((I*a*sinh(c + d*x) + a)**(-3/2), x)","F",0
71,0,0,0,0.000000," ","integrate(1/(a+I*a*sinh(d*x+c))**(5/2),x)","\int \frac{1}{\left(i a \sinh{\left(c + d x \right)} + a\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((I*a*sinh(c + d*x) + a)**(-5/2), x)","F",0
72,-1,0,0,0.000000," ","integrate(sinh(x)**4/(a+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
73,-1,0,0,0.000000," ","integrate(sinh(x)**3/(a+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
74,-1,0,0,0.000000," ","integrate(sinh(x)**2/(a+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
75,1,252,0,58.299341," ","integrate(sinh(x)/(a+b*sinh(x)),x)","\begin{cases} \tilde{\infty} x & \text{for}\: a = 0 \wedge b = 0 \\\frac{\cosh{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{x}{b} & \text{for}\: a = 0 \\\frac{b x \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} - \frac{2 b}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} - \frac{i x \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} & \text{for}\: a = - \sqrt{- b^{2}} \\\frac{b x \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} - \frac{2 b}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} + \frac{i x \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} & \text{for}\: a = \sqrt{- b^{2}} \\\frac{a \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{b \sqrt{a^{2} + b^{2}}} - \frac{a \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{b \sqrt{a^{2} + b^{2}}} + \frac{x}{b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, Eq(a, 0) & Eq(b, 0)), (cosh(x)/a, Eq(b, 0)), (x/b, Eq(a, 0)), (b*x*tanh(x/2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) - 2*b/(b**2*tanh(x/2) - I*b*sqrt(b**2)) - I*x*sqrt(b**2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)), Eq(a, -sqrt(-b**2))), (b*x*tanh(x/2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) - 2*b/(b**2*tanh(x/2) + I*b*sqrt(b**2)) + I*x*sqrt(b**2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)), Eq(a, sqrt(-b**2))), (a*log(tanh(x/2) - b/a - sqrt(a**2 + b**2)/a)/(b*sqrt(a**2 + b**2)) - a*log(tanh(x/2) - b/a + sqrt(a**2 + b**2)/a)/(b*sqrt(a**2 + b**2)) + x/b, True))","A",0
76,0,0,0,0.000000," ","integrate(csch(x)/(a+b*sinh(x)),x)","\int \frac{\operatorname{csch}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)/(a + b*sinh(x)), x)","F",0
77,0,0,0,0.000000," ","integrate(csch(x)**2/(a+b*sinh(x)),x)","\int \frac{\operatorname{csch}^{2}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)**2/(a + b*sinh(x)), x)","F",0
78,0,0,0,0.000000," ","integrate(csch(x)**3/(a+b*sinh(x)),x)","\int \frac{\operatorname{csch}^{3}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)**3/(a + b*sinh(x)), x)","F",0
79,0,0,0,0.000000," ","integrate(csch(x)**4/(a+b*sinh(x)),x)","\int \frac{\operatorname{csch}^{4}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)**4/(a + b*sinh(x)), x)","F",0
80,-1,0,0,0.000000," ","integrate(sinh(x)**4/(a+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,-1,0,0,0.000000," ","integrate(sinh(x)**3/(a+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,-1,0,0,0.000000," ","integrate(sinh(x)**2/(a+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
83,-1,0,0,0.000000," ","integrate(sinh(x)/(a+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
84,0,0,0,0.000000," ","integrate(csch(x)/(a+b*sinh(x))**2,x)","\int \frac{\operatorname{csch}{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(csch(x)/(a + b*sinh(x))**2, x)","F",0
85,0,0,0,0.000000," ","integrate(csch(x)**2/(a+b*sinh(x))**2,x)","\int \frac{\operatorname{csch}^{2}{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(csch(x)**2/(a + b*sinh(x))**2, x)","F",0
86,0,0,0,0.000000," ","integrate(csch(x)**3/(a+b*sinh(x))**2,x)","\int \frac{\operatorname{csch}^{3}{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(csch(x)**3/(a + b*sinh(x))**2, x)","F",0
87,0,0,0,0.000000," ","integrate(csch(x)**4/(a+b*sinh(x))**2,x)","\int \frac{\operatorname{csch}^{4}{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(csch(x)**4/(a + b*sinh(x))**2, x)","F",0
88,1,34,0,0.308877," ","integrate(1/(3+5*I*sinh(d*x+c)),x)","\frac{\operatorname{RootSum} {\left(400 z^{2} + 1, \left( i \mapsto i \log{\left(16 i i e^{c} + \frac{3 i e^{c}}{5} + e^{- d x} \right)} \right)\right)}}{d}"," ",0,"RootSum(400*_z**2 + 1, Lambda(_i, _i*log(16*_i*I*exp(c) + 3*I*exp(c)/5 + exp(-d*x))))/d","A",0
89,1,87,0,0.405992," ","integrate(1/(3+5*I*sinh(d*x+c))**2,x)","\frac{- 5 e^{2 c} + 3 i e^{c} e^{- d x}}{- 40 d e^{2 c} + 48 i d e^{c} e^{- d x} + 40 d e^{- 2 d x}} + \frac{\operatorname{RootSum} {\left(2560000 z^{2} + 9, \left( i \mapsto i \log{\left(- \frac{1280 i i e^{c}}{3} + \frac{3 i e^{c}}{5} + e^{- d x} \right)} \right)\right)}}{d}"," ",0,"(-5*exp(2*c) + 3*I*exp(c)*exp(-d*x))/(-40*d*exp(2*c) + 48*I*d*exp(c)*exp(-d*x) + 40*d*exp(-2*d*x)) + RootSum(2560000*_z**2 + 9, Lambda(_i, _i*log(-1280*_i*I*exp(c)/3 + 3*I*exp(c)/5 + exp(-d*x))))/d","A",0
90,1,148,0,0.547511," ","integrate(1/(3+5*I*sinh(d*x+c))**3,x)","\frac{225 e^{4 c} - 325 i e^{3 c} e^{- d x} - 387 e^{2 c} e^{- 2 d x} + 215 i e^{c} e^{- 3 d x}}{- 6400 d e^{4 c} + 15360 i d e^{3 c} e^{- d x} + 22016 d e^{2 c} e^{- 2 d x} - 15360 i d e^{c} e^{- 3 d x} - 6400 d e^{- 4 d x}} + \frac{\operatorname{RootSum} {\left(65536000000 z^{2} + 1849, \left( i \mapsto i \log{\left(\frac{204800 i i e^{c}}{43} + \frac{3 i e^{c}}{5} + e^{- d x} \right)} \right)\right)}}{d}"," ",0,"(225*exp(4*c) - 325*I*exp(3*c)*exp(-d*x) - 387*exp(2*c)*exp(-2*d*x) + 215*I*exp(c)*exp(-3*d*x))/(-6400*d*exp(4*c) + 15360*I*d*exp(3*c)*exp(-d*x) + 22016*d*exp(2*c)*exp(-2*d*x) - 15360*I*d*exp(c)*exp(-3*d*x) - 6400*d*exp(-4*d*x)) + RootSum(65536000000*_z**2 + 1849, Lambda(_i, _i*log(204800*_i*I*exp(c)/43 + 3*I*exp(c)/5 + exp(-d*x))))/d","A",0
91,1,209,0,0.733608," ","integrate(1/(3+5*I*sinh(d*x+c))**4,x)","\frac{24875 e^{6 c} - 68625 i e^{5 c} e^{- d x} - 119310 e^{4 c} e^{- 2 d x} + 111042 i e^{3 c} e^{- 3 d x} + 62775 e^{2 c} e^{- 4 d x} - 20925 i e^{c} e^{- 5 d x}}{1536000 d e^{6 c} - 5529600 i d e^{5 c} e^{- d x} - 11243520 d e^{4 c} e^{- 2 d x} + 13713408 i d e^{3 c} e^{- 3 d x} + 11243520 d e^{2 c} e^{- 4 d x} - 5529600 i d e^{c} e^{- 5 d x} - 1536000 d e^{- 6 d x}} + \frac{\operatorname{RootSum} {\left(419430400000000 z^{2} + 77841, \left( i \mapsto i \log{\left(- \frac{16384000 i i e^{c}}{279} + \frac{3 i e^{c}}{5} + e^{- d x} \right)} \right)\right)}}{d}"," ",0,"(24875*exp(6*c) - 68625*I*exp(5*c)*exp(-d*x) - 119310*exp(4*c)*exp(-2*d*x) + 111042*I*exp(3*c)*exp(-3*d*x) + 62775*exp(2*c)*exp(-4*d*x) - 20925*I*exp(c)*exp(-5*d*x))/(1536000*d*exp(6*c) - 5529600*I*d*exp(5*c)*exp(-d*x) - 11243520*d*exp(4*c)*exp(-2*d*x) + 13713408*I*d*exp(3*c)*exp(-3*d*x) + 11243520*d*exp(2*c)*exp(-4*d*x) - 5529600*I*d*exp(c)*exp(-5*d*x) - 1536000*d*exp(-6*d*x)) + RootSum(419430400000000*_z**2 + 77841, Lambda(_i, _i*log(-16384000*_i*I*exp(c)/279 + 3*I*exp(c)/5 + exp(-d*x))))/d","A",0
92,-2,0,0,0.000000," ","integrate(1/(5+3*I*sinh(d*x+c)),x)","\text{Exception raised: NotInvertible}"," ",0,"Exception raised: NotInvertible","F(-2)",0
93,-2,0,0,0.000000," ","integrate(1/(5+3*I*sinh(d*x+c))**2,x)","\text{Exception raised: NotInvertible}"," ",0,"Exception raised: NotInvertible","F(-2)",0
94,-2,0,0,0.000000," ","integrate(1/(5+3*I*sinh(d*x+c))**3,x)","\text{Exception raised: NotInvertible}"," ",0,"Exception raised: NotInvertible","F(-2)",0
95,-2,0,0,0.000000," ","integrate(1/(5+3*I*sinh(d*x+c))**4,x)","\text{Exception raised: NotInvertible}"," ",0,"Exception raised: NotInvertible","F(-2)",0
96,1,314,0,2.173605," ","integrate((a+b*sinh(d*x+c))**5,x)","\begin{cases} a^{5} x + \frac{5 a^{4} b \cosh{\left(c + d x \right)}}{d} + 5 a^{3} b^{2} x \sinh^{2}{\left(c + d x \right)} - 5 a^{3} b^{2} x \cosh^{2}{\left(c + d x \right)} + \frac{5 a^{3} b^{2} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{d} + \frac{10 a^{2} b^{3} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{d} - \frac{20 a^{2} b^{3} \cosh^{3}{\left(c + d x \right)}}{3 d} + \frac{15 a b^{4} x \sinh^{4}{\left(c + d x \right)}}{8} - \frac{15 a b^{4} x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{4} + \frac{15 a b^{4} x \cosh^{4}{\left(c + d x \right)}}{8} + \frac{25 a b^{4} \sinh^{3}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8 d} - \frac{15 a b^{4} \sinh{\left(c + d x \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} + \frac{b^{5} \sinh^{4}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{d} - \frac{4 b^{5} \sinh^{2}{\left(c + d x \right)} \cosh^{3}{\left(c + d x \right)}}{3 d} + \frac{8 b^{5} \cosh^{5}{\left(c + d x \right)}}{15 d} & \text{for}\: d \neq 0 \\x \left(a + b \sinh{\left(c \right)}\right)^{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**5*x + 5*a**4*b*cosh(c + d*x)/d + 5*a**3*b**2*x*sinh(c + d*x)**2 - 5*a**3*b**2*x*cosh(c + d*x)**2 + 5*a**3*b**2*sinh(c + d*x)*cosh(c + d*x)/d + 10*a**2*b**3*sinh(c + d*x)**2*cosh(c + d*x)/d - 20*a**2*b**3*cosh(c + d*x)**3/(3*d) + 15*a*b**4*x*sinh(c + d*x)**4/8 - 15*a*b**4*x*sinh(c + d*x)**2*cosh(c + d*x)**2/4 + 15*a*b**4*x*cosh(c + d*x)**4/8 + 25*a*b**4*sinh(c + d*x)**3*cosh(c + d*x)/(8*d) - 15*a*b**4*sinh(c + d*x)*cosh(c + d*x)**3/(8*d) + b**5*sinh(c + d*x)**4*cosh(c + d*x)/d - 4*b**5*sinh(c + d*x)**2*cosh(c + d*x)**3/(3*d) + 8*b**5*cosh(c + d*x)**5/(15*d), Ne(d, 0)), (x*(a + b*sinh(c))**5, True))","A",0
97,1,240,0,1.053218," ","integrate((a+b*sinh(d*x+c))**4,x)","\begin{cases} a^{4} x + \frac{4 a^{3} b \cosh{\left(c + d x \right)}}{d} + 3 a^{2} b^{2} x \sinh^{2}{\left(c + d x \right)} - 3 a^{2} b^{2} x \cosh^{2}{\left(c + d x \right)} + \frac{3 a^{2} b^{2} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{d} + \frac{4 a b^{3} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{d} - \frac{8 a b^{3} \cosh^{3}{\left(c + d x \right)}}{3 d} + \frac{3 b^{4} x \sinh^{4}{\left(c + d x \right)}}{8} - \frac{3 b^{4} x \sinh^{2}{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{4} + \frac{3 b^{4} x \cosh^{4}{\left(c + d x \right)}}{8} + \frac{5 b^{4} \sinh^{3}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8 d} - \frac{3 b^{4} \sinh{\left(c + d x \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} & \text{for}\: d \neq 0 \\x \left(a + b \sinh{\left(c \right)}\right)^{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**4*x + 4*a**3*b*cosh(c + d*x)/d + 3*a**2*b**2*x*sinh(c + d*x)**2 - 3*a**2*b**2*x*cosh(c + d*x)**2 + 3*a**2*b**2*sinh(c + d*x)*cosh(c + d*x)/d + 4*a*b**3*sinh(c + d*x)**2*cosh(c + d*x)/d - 8*a*b**3*cosh(c + d*x)**3/(3*d) + 3*b**4*x*sinh(c + d*x)**4/8 - 3*b**4*x*sinh(c + d*x)**2*cosh(c + d*x)**2/4 + 3*b**4*x*cosh(c + d*x)**4/8 + 5*b**4*sinh(c + d*x)**3*cosh(c + d*x)/(8*d) - 3*b**4*sinh(c + d*x)*cosh(c + d*x)**3/(8*d), Ne(d, 0)), (x*(a + b*sinh(c))**4, True))","A",0
98,1,128,0,0.512526," ","integrate((a+b*sinh(d*x+c))**3,x)","\begin{cases} a^{3} x + \frac{3 a^{2} b \cosh{\left(c + d x \right)}}{d} + \frac{3 a b^{2} x \sinh^{2}{\left(c + d x \right)}}{2} - \frac{3 a b^{2} x \cosh^{2}{\left(c + d x \right)}}{2} + \frac{3 a b^{2} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2 d} + \frac{b^{3} \sinh^{2}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{d} - \frac{2 b^{3} \cosh^{3}{\left(c + d x \right)}}{3 d} & \text{for}\: d \neq 0 \\x \left(a + b \sinh{\left(c \right)}\right)^{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*x + 3*a**2*b*cosh(c + d*x)/d + 3*a*b**2*x*sinh(c + d*x)**2/2 - 3*a*b**2*x*cosh(c + d*x)**2/2 + 3*a*b**2*sinh(c + d*x)*cosh(c + d*x)/(2*d) + b**3*sinh(c + d*x)**2*cosh(c + d*x)/d - 2*b**3*cosh(c + d*x)**3/(3*d), Ne(d, 0)), (x*(a + b*sinh(c))**3, True))","A",0
99,1,78,0,0.261836," ","integrate((a+b*sinh(d*x+c))**2,x)","\begin{cases} a^{2} x + \frac{2 a b \cosh{\left(c + d x \right)}}{d} + \frac{b^{2} x \sinh^{2}{\left(c + d x \right)}}{2} - \frac{b^{2} x \cosh^{2}{\left(c + d x \right)}}{2} + \frac{b^{2} \sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2 d} & \text{for}\: d \neq 0 \\x \left(a + b \sinh{\left(c \right)}\right)^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x + 2*a*b*cosh(c + d*x)/d + b**2*x*sinh(c + d*x)**2/2 - b**2*x*cosh(c + d*x)**2/2 + b**2*sinh(c + d*x)*cosh(c + d*x)/(2*d), Ne(d, 0)), (x*(a + b*sinh(c))**2, True))","A",0
100,1,17,0,0.130339," ","integrate(a+b*sinh(d*x+c),x)","a x + b \left(\begin{cases} \frac{\cosh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \sinh{\left(c \right)} & \text{otherwise} \end{cases}\right)"," ",0,"a*x + b*Piecewise((cosh(c + d*x)/d, Ne(d, 0)), (x*sinh(c), True))","A",0
101,1,187,0,8.950111," ","integrate(1/(a+b*sinh(d*x+c)),x)","\begin{cases} \frac{\log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} \right)}}{b d} & \text{for}\: a = 0 \\\frac{2 i \sqrt{b^{2}}}{b^{2} d \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} - i b d \sqrt{b^{2}}} & \text{for}\: a = - \sqrt{- b^{2}} \\- \frac{2 i \sqrt{b^{2}}}{b^{2} d \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} + i b d \sqrt{b^{2}}} & \text{for}\: a = \sqrt{- b^{2}} \\\frac{x}{a + b \sinh{\left(c \right)}} & \text{for}\: d = 0 \\- \frac{\log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{d \sqrt{a^{2} + b^{2}}} + \frac{\log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{d \sqrt{a^{2} + b^{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(tanh(c/2 + d*x/2))/(b*d), Eq(a, 0)), (2*I*sqrt(b**2)/(b**2*d*tanh(c/2 + d*x/2) - I*b*d*sqrt(b**2)), Eq(a, -sqrt(-b**2))), (-2*I*sqrt(b**2)/(b**2*d*tanh(c/2 + d*x/2) + I*b*d*sqrt(b**2)), Eq(a, sqrt(-b**2))), (x/(a + b*sinh(c)), Eq(d, 0)), (-log(tanh(c/2 + d*x/2) - b/a - sqrt(a**2 + b**2)/a)/(d*sqrt(a**2 + b**2)) + log(tanh(c/2 + d*x/2) - b/a + sqrt(a**2 + b**2)/a)/(d*sqrt(a**2 + b**2)), True))","A",0
102,-1,0,0,0.000000," ","integrate(1/(a+b*sinh(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
103,-1,0,0,0.000000," ","integrate(1/(a+b*sinh(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
104,-1,0,0,0.000000," ","integrate(1/(a+b*sinh(d*x+c))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
105,0,0,0,0.000000," ","integrate((a+b*sinh(x))**(5/2),x)","\int \left(a + b \sinh{\left(x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((a + b*sinh(x))**(5/2), x)","F",0
106,0,0,0,0.000000," ","integrate((a+b*sinh(x))**(3/2),x)","\int \left(a + b \sinh{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*sinh(x))**(3/2), x)","F",0
107,0,0,0,0.000000," ","integrate((a+b*sinh(x))**(1/2),x)","\int \sqrt{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*sinh(x)), x)","F",0
108,0,0,0,0.000000," ","integrate(1/(a+b*sinh(x))**(1/2),x)","\int \frac{1}{\sqrt{a + b \sinh{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*sinh(x)), x)","F",0
109,0,0,0,0.000000," ","integrate(1/(a+b*sinh(x))**(3/2),x)","\int \frac{1}{\left(a + b \sinh{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*sinh(x))**(-3/2), x)","F",0
110,0,0,0,0.000000," ","integrate(1/(a+b*sinh(x))**(5/2),x)","\int \frac{1}{\left(a + b \sinh{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*sinh(x))**(-5/2), x)","F",0
111,0,0,0,0.000000," ","integrate(sinh(x)/(a+b*sinh(x))**(1/2),x)","\int \frac{\sinh{\left(x \right)}}{\sqrt{a + b \sinh{\left(x \right)}}}\, dx"," ",0,"Integral(sinh(x)/sqrt(a + b*sinh(x)), x)","F",0
112,-1,0,0,0.000000," ","integrate((a+I*a*sinh(x))**(5/2)*(A+B*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
113,0,0,0,0.000000," ","integrate((a+I*a*sinh(x))**(3/2)*(A+B*sinh(x)),x)","\int \left(i a \left(\sinh{\left(x \right)} - i\right)\right)^{\frac{3}{2}} \left(A + B \sinh{\left(x \right)}\right)\, dx"," ",0,"Integral((I*a*(sinh(x) - I))**(3/2)*(A + B*sinh(x)), x)","F",0
114,0,0,0,0.000000," ","integrate((a+I*a*sinh(x))**(1/2)*(A+B*sinh(x)),x)","\int \sqrt{i a \left(\sinh{\left(x \right)} - i\right)} \left(A + B \sinh{\left(x \right)}\right)\, dx"," ",0,"Integral(sqrt(I*a*(sinh(x) - I))*(A + B*sinh(x)), x)","F",0
115,1,19,0,0.115812," ","integrate((A+B*sinh(x))/(I+sinh(x)),x)","B x + \frac{- 2 i A - 2 B}{i e^{x} - 1}"," ",0,"B*x + (-2*I*A - 2*B)/(I*exp(x) - 1)","A",0
116,1,51,0,0.202696," ","integrate((A+B*sinh(x))/(I+sinh(x))**2,x)","\frac{2 i A + 6 B e^{2 x} - 4 B + \left(6 A + 6 i B\right) e^{x}}{- 3 e^{3 x} - 9 i e^{2 x} + 9 e^{x} + 3 i}"," ",0,"(2*I*A + 6*B*exp(2*x) - 4*B + (6*A + 6*I*B)*exp(x))/(-3*exp(3*x) - 9*I*exp(2*x) + 9*exp(x) + 3*I)","A",0
117,1,83,0,0.392244," ","integrate((A+B*sinh(x))/(I+sinh(x))**3,x)","\frac{- 4 i A + 30 i B e^{3 x} + 6 B + \left(- 20 A - 30 i B\right) e^{x} + \left(40 i A - 30 B\right) e^{2 x}}{- 15 i e^{5 x} + 75 e^{4 x} + 150 i e^{3 x} - 150 e^{2 x} - 75 i e^{x} + 15}"," ",0,"(-4*I*A + 30*I*B*exp(3*x) + 6*B + (-20*A - 30*I*B)*exp(x) + (40*I*A - 30*B)*exp(2*x))/(-15*I*exp(5*x) + 75*exp(4*x) + 150*I*exp(3*x) - 150*exp(2*x) - 75*I*exp(x) + 15)","A",0
118,1,110,0,0.777286," ","integrate((A+B*sinh(x))/(I+sinh(x))**4,x)","\frac{12 i A - 280 B e^{4 x} - 16 B + \left(- 420 A - 280 i B\right) e^{3 x} + \left(84 A + 112 i B\right) e^{x} + \left(- 252 i A + 336 B\right) e^{2 x}}{105 e^{7 x} + 735 i e^{6 x} - 2205 e^{5 x} - 3675 i e^{4 x} + 3675 e^{3 x} + 2205 i e^{2 x} - 735 e^{x} - 105 i}"," ",0,"(12*I*A - 280*B*exp(4*x) - 16*B + (-420*A - 280*I*B)*exp(3*x) + (84*A + 112*I*B)*exp(x) + (-252*I*A + 336*B)*exp(2*x))/(105*exp(7*x) + 735*I*exp(6*x) - 2205*exp(5*x) - 3675*I*exp(4*x) + 3675*exp(3*x) + 2205*I*exp(2*x) - 735*exp(x) - 105*I)","A",0
119,1,19,0,0.155930," ","integrate((A+B*sinh(x))/(I-sinh(x)),x)","- B x + \frac{- 2 i A + 2 B}{- i e^{x} - 1}"," ",0,"-B*x + (-2*I*A + 2*B)/(-I*exp(x) - 1)","A",0
120,1,51,0,0.222295," ","integrate((A+B*sinh(x))/(I-sinh(x))**2,x)","\frac{- 2 i A + 6 B e^{2 x} - 4 B + \left(6 A - 6 i B\right) e^{x}}{- 3 e^{3 x} + 9 i e^{2 x} + 9 e^{x} - 3 i}"," ",0,"(-2*I*A + 6*B*exp(2*x) - 4*B + (6*A - 6*I*B)*exp(x))/(-3*exp(3*x) + 9*I*exp(2*x) + 9*exp(x) - 3*I)","A",0
121,1,82,0,0.388879," ","integrate((A+B*sinh(x))/(I-sinh(x))**3,x)","\frac{- 4 i A + 30 i B e^{3 x} - 6 B + \left(20 A - 30 i B\right) e^{x} + \left(40 i A + 30 B\right) e^{2 x}}{15 i e^{5 x} + 75 e^{4 x} - 150 i e^{3 x} - 150 e^{2 x} + 75 i e^{x} + 15}"," ",0,"(-4*I*A + 30*I*B*exp(3*x) - 6*B + (20*A - 30*I*B)*exp(x) + (40*I*A + 30*B)*exp(2*x))/(15*I*exp(5*x) + 75*exp(4*x) - 150*I*exp(3*x) - 150*exp(2*x) + 75*I*exp(x) + 15)","A",0
122,1,109,0,0.664204," ","integrate((A+B*sinh(x))/(I-sinh(x))**4,x)","\frac{- 12 i A - 280 B e^{4 x} - 16 B + \left(- 420 A + 280 i B\right) e^{3 x} + \left(84 A - 112 i B\right) e^{x} + \left(252 i A + 336 B\right) e^{2 x}}{105 e^{7 x} - 735 i e^{6 x} - 2205 e^{5 x} + 3675 i e^{4 x} + 3675 e^{3 x} - 2205 i e^{2 x} - 735 e^{x} + 105 i}"," ",0,"(-12*I*A - 280*B*exp(4*x) - 16*B + (-420*A + 280*I*B)*exp(3*x) + (84*A - 112*I*B)*exp(x) + (252*I*A + 336*B)*exp(2*x))/(105*exp(7*x) - 735*I*exp(6*x) - 2205*exp(5*x) + 3675*I*exp(4*x) + 3675*exp(3*x) - 2205*I*exp(2*x) - 735*exp(x) + 105*I)","A",0
123,0,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+I*a*sinh(x))**(1/2),x)","\int \frac{A + B \sinh{\left(x \right)}}{\sqrt{i a \left(\sinh{\left(x \right)} - i\right)}}\, dx"," ",0,"Integral((A + B*sinh(x))/sqrt(I*a*(sinh(x) - I)), x)","F",0
124,0,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+I*a*sinh(x))**(3/2),x)","\int \frac{A + B \sinh{\left(x \right)}}{\left(i a \left(\sinh{\left(x \right)} - i\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((A + B*sinh(x))/(I*a*(sinh(x) - I))**(3/2), x)","F",0
125,-1,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+I*a*sinh(x))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
126,0,0,0,0.000000," ","integrate((a+b*sinh(x))**(5/2)*(A+B*sinh(x)),x)","\int \left(A + B \sinh{\left(x \right)}\right) \left(a + b \sinh{\left(x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((A + B*sinh(x))*(a + b*sinh(x))**(5/2), x)","F",0
127,0,0,0,0.000000," ","integrate((a+b*sinh(x))**(3/2)*(A+B*sinh(x)),x)","\int \left(A + B \sinh{\left(x \right)}\right) \left(a + b \sinh{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((A + B*sinh(x))*(a + b*sinh(x))**(3/2), x)","F",0
128,0,0,0,0.000000," ","integrate((a+b*sinh(x))**(1/2)*(A+B*sinh(x)),x)","\int \left(A + B \sinh{\left(x \right)}\right) \sqrt{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral((A + B*sinh(x))*sqrt(a + b*sinh(x)), x)","F",0
129,1,422,0,64.572481," ","integrate((A+B*sinh(x))/(a+b*sinh(x)),x)","\begin{cases} \tilde{\infty} \left(A \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + B x\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{A x + B \cosh{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{A \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + B x}{b} & \text{for}\: a = 0 \\- \frac{2 A b}{b^{2} + i b \sqrt{b^{2}} \tanh{\left(\frac{x}{2} \right)}} + \frac{B b x}{b^{2} + i b \sqrt{b^{2}} \tanh{\left(\frac{x}{2} \right)}} + \frac{i B x \sqrt{b^{2}} \tanh{\left(\frac{x}{2} \right)}}{b^{2} + i b \sqrt{b^{2}} \tanh{\left(\frac{x}{2} \right)}} - \frac{2 i B \sqrt{b^{2}}}{b^{2} + i b \sqrt{b^{2}} \tanh{\left(\frac{x}{2} \right)}} & \text{for}\: a = - \sqrt{- b^{2}} \\- \frac{2 A b}{b^{2} - i b \sqrt{b^{2}} \tanh{\left(\frac{x}{2} \right)}} + \frac{B b x}{b^{2} - i b \sqrt{b^{2}} \tanh{\left(\frac{x}{2} \right)}} - \frac{i B x \sqrt{b^{2}} \tanh{\left(\frac{x}{2} \right)}}{b^{2} - i b \sqrt{b^{2}} \tanh{\left(\frac{x}{2} \right)}} + \frac{2 i B \sqrt{b^{2}}}{b^{2} - i b \sqrt{b^{2}} \tanh{\left(\frac{x}{2} \right)}} & \text{for}\: a = \sqrt{- b^{2}} \\- \frac{A \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{\sqrt{a^{2} + b^{2}}} + \frac{A \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{\sqrt{a^{2} + b^{2}}} + \frac{B a \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{b \sqrt{a^{2} + b^{2}}} - \frac{B a \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{b \sqrt{a^{2} + b^{2}}} + \frac{B x}{b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(A*log(tanh(x/2)) + B*x), Eq(a, 0) & Eq(b, 0)), ((A*x + B*cosh(x))/a, Eq(b, 0)), ((A*log(tanh(x/2)) + B*x)/b, Eq(a, 0)), (-2*A*b/(b**2 + I*b*sqrt(b**2)*tanh(x/2)) + B*b*x/(b**2 + I*b*sqrt(b**2)*tanh(x/2)) + I*B*x*sqrt(b**2)*tanh(x/2)/(b**2 + I*b*sqrt(b**2)*tanh(x/2)) - 2*I*B*sqrt(b**2)/(b**2 + I*b*sqrt(b**2)*tanh(x/2)), Eq(a, -sqrt(-b**2))), (-2*A*b/(b**2 - I*b*sqrt(b**2)*tanh(x/2)) + B*b*x/(b**2 - I*b*sqrt(b**2)*tanh(x/2)) - I*B*x*sqrt(b**2)*tanh(x/2)/(b**2 - I*b*sqrt(b**2)*tanh(x/2)) + 2*I*B*sqrt(b**2)/(b**2 - I*b*sqrt(b**2)*tanh(x/2)), Eq(a, sqrt(-b**2))), (-A*log(tanh(x/2) - b/a - sqrt(a**2 + b**2)/a)/sqrt(a**2 + b**2) + A*log(tanh(x/2) - b/a + sqrt(a**2 + b**2)/a)/sqrt(a**2 + b**2) + B*a*log(tanh(x/2) - b/a - sqrt(a**2 + b**2)/a)/(b*sqrt(a**2 + b**2)) - B*a*log(tanh(x/2) - b/a + sqrt(a**2 + b**2)/a)/(b*sqrt(a**2 + b**2)) + B*x/b, True))","A",0
130,-1,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,-1,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+b*sinh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,-1,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+b*sinh(x))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,1,340,0,60.554687," ","integrate((b*B/a+B*sinh(x))/(a+b*sinh(x)),x)","\begin{cases} \text{NaN} & \text{for}\: a = 0 \wedge b = 0 \\\frac{B \cosh{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{B b x \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} - \frac{4 B b}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} - \frac{i B x \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} & \text{for}\: a = - \sqrt{- b^{2}} \\\frac{B b x \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} - \frac{4 B b}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} + \frac{i B x \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} & \text{for}\: a = \sqrt{- b^{2}} \\\frac{B a \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{b \sqrt{a^{2} + b^{2}}} - \frac{B a \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{b \sqrt{a^{2} + b^{2}}} + \frac{B x}{b} - \frac{B b \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{a \sqrt{a^{2} + b^{2}}} + \frac{B b \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{a \sqrt{a^{2} + b^{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((nan, Eq(a, 0) & Eq(b, 0)), (B*cosh(x)/a, Eq(b, 0)), (B*b*x*tanh(x/2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) - 4*B*b/(b**2*tanh(x/2) - I*b*sqrt(b**2)) - I*B*x*sqrt(b**2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)), Eq(a, -sqrt(-b**2))), (B*b*x*tanh(x/2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) - 4*B*b/(b**2*tanh(x/2) + I*b*sqrt(b**2)) + I*B*x*sqrt(b**2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)), Eq(a, sqrt(-b**2))), (B*a*log(tanh(x/2) - b/a - sqrt(a**2 + b**2)/a)/(b*sqrt(a**2 + b**2)) - B*a*log(tanh(x/2) - b/a + sqrt(a**2 + b**2)/a)/(b*sqrt(a**2 + b**2)) + B*x/b - B*b*log(tanh(x/2) - b/a - sqrt(a**2 + b**2)/a)/(a*sqrt(a**2 + b**2)) + B*b*log(tanh(x/2) - b/a + sqrt(a**2 + b**2)/a)/(a*sqrt(a**2 + b**2)), True))","A",0
134,1,3,0,0.325227," ","integrate((a*B/b+B*sinh(x))/(a+b*sinh(x)),x)","\frac{B x}{b}"," ",0,"B*x/b","A",0
135,-1,0,0,0.000000," ","integrate((a-b*sinh(x))/(b+a*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
136,1,51,0,1.711223," ","integrate((2-sinh(x))/(2+sinh(x)),x)","- x + \frac{4 \sqrt{5} \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{1}{2} + \frac{\sqrt{5}}{2} \right)}}{5} - \frac{4 \sqrt{5} \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{\sqrt{5}}{2} - \frac{1}{2} \right)}}{5}"," ",0,"-x + 4*sqrt(5)*log(tanh(x/2) - 1/2 + sqrt(5)/2)/5 - 4*sqrt(5)*log(tanh(x/2) - sqrt(5)/2 - 1/2)/5","A",0
137,0,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+b*sinh(x))**(1/2),x)","\int \frac{A + B \sinh{\left(x \right)}}{\sqrt{a + b \sinh{\left(x \right)}}}\, dx"," ",0,"Integral((A + B*sinh(x))/sqrt(a + b*sinh(x)), x)","F",0
138,-1,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+b*sinh(x))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
139,-1,0,0,0.000000," ","integrate((A+B*sinh(x))/(a+b*sinh(x))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
140,0,0,0,0.000000," ","integrate((a*sinh(x)**2)**(5/2),x)","\int \left(a \sinh^{2}{\left(x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((a*sinh(x)**2)**(5/2), x)","F",0
141,0,0,0,0.000000," ","integrate((a*sinh(x)**2)**(3/2),x)","\int \left(a \sinh^{2}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*sinh(x)**2)**(3/2), x)","F",0
142,1,19,0,0.332307," ","integrate((a*sinh(x)**2)**(1/2),x)","\frac{\sqrt{a} \sqrt{\sinh^{2}{\left(x \right)}} \cosh{\left(x \right)}}{\sinh{\left(x \right)}}"," ",0,"sqrt(a)*sqrt(sinh(x)**2)*cosh(x)/sinh(x)","A",0
143,0,0,0,0.000000," ","integrate(1/(a*sinh(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{a \sinh^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a*sinh(x)**2), x)","F",0
144,0,0,0,0.000000," ","integrate(1/(a*sinh(x)**2)**(3/2),x)","\int \frac{1}{\left(a \sinh^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*sinh(x)**2)**(-3/2), x)","F",0
145,0,0,0,0.000000," ","integrate(1/(a*sinh(x)**2)**(5/2),x)","\int \frac{1}{\left(a \sinh^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a*sinh(x)**2)**(-5/2), x)","F",0
146,-1,0,0,0.000000," ","integrate((a*sinh(x)**3)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
147,0,0,0,0.000000," ","integrate((a*sinh(x)**3)**(3/2),x)","\int \left(a \sinh^{3}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*sinh(x)**3)**(3/2), x)","F",0
148,0,0,0,0.000000," ","integrate((a*sinh(x)**3)**(1/2),x)","\int \sqrt{a \sinh^{3}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a*sinh(x)**3), x)","F",0
149,0,0,0,0.000000," ","integrate(1/(a*sinh(x)**3)**(1/2),x)","\int \frac{1}{\sqrt{a \sinh^{3}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a*sinh(x)**3), x)","F",0
150,0,0,0,0.000000," ","integrate(1/(a*sinh(x)**3)**(3/2),x)","\int \frac{1}{\left(a \sinh^{3}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*sinh(x)**3)**(-3/2), x)","F",0
151,0,0,0,0.000000," ","integrate(1/(a*sinh(x)**3)**(5/2),x)","\int \frac{1}{\left(a \sinh^{3}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a*sinh(x)**3)**(-5/2), x)","F",0
152,0,0,0,0.000000," ","integrate((a*sinh(x)**4)**(5/2),x)","\int \left(a \sinh^{4}{\left(x \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((a*sinh(x)**4)**(5/2), x)","F",0
153,0,0,0,0.000000," ","integrate((a*sinh(x)**4)**(3/2),x)","\int \left(a \sinh^{4}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*sinh(x)**4)**(3/2), x)","F",0
154,0,0,0,0.000000," ","integrate((a*sinh(x)**4)**(1/2),x)","\int \sqrt{a \sinh^{4}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a*sinh(x)**4), x)","F",0
155,0,0,0,0.000000," ","integrate(1/(a*sinh(x)**4)**(1/2),x)","\int \frac{1}{\sqrt{a \sinh^{4}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a*sinh(x)**4), x)","F",0
156,0,0,0,0.000000," ","integrate(1/(a*sinh(x)**4)**(3/2),x)","\int \frac{1}{\left(a \sinh^{4}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*sinh(x)**4)**(-3/2), x)","F",0
157,0,0,0,0.000000," ","integrate(1/(a*sinh(x)**4)**(5/2),x)","\int \frac{1}{\left(a \sinh^{4}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a*sinh(x)**4)**(-5/2), x)","F",0
158,1,124,0,0.299593," ","integrate(cosh(x)**8/(I+sinh(x)),x)","- \frac{5 i x}{16} + \frac{e^{7 x}}{896} - \frac{i e^{6 x}}{384} + \frac{e^{5 x}}{128} - \frac{3 i e^{4 x}}{128} + \frac{3 e^{3 x}}{128} - \frac{15 i e^{2 x}}{128} + \frac{5 e^{x}}{128} + \frac{5 e^{- x}}{128} + \frac{15 i e^{- 2 x}}{128} + \frac{3 e^{- 3 x}}{128} + \frac{3 i e^{- 4 x}}{128} + \frac{e^{- 5 x}}{128} + \frac{i e^{- 6 x}}{384} + \frac{e^{- 7 x}}{896}"," ",0,"-5*I*x/16 + exp(7*x)/896 - I*exp(6*x)/384 + exp(5*x)/128 - 3*I*exp(4*x)/128 + 3*exp(3*x)/128 - 15*I*exp(2*x)/128 + 5*exp(x)/128 + 5*exp(-x)/128 + 15*I*exp(-2*x)/128 + 3*exp(-3*x)/128 + 3*I*exp(-4*x)/128 + exp(-5*x)/128 + I*exp(-6*x)/384 + exp(-7*x)/896","B",0
159,1,100,0,0.260371," ","integrate(cosh(x)**7/(I+sinh(x)),x)","\frac{e^{6 x}}{384} - \frac{i e^{5 x}}{160} + \frac{e^{4 x}}{64} - \frac{5 i e^{3 x}}{96} + \frac{5 e^{2 x}}{128} - \frac{5 i e^{x}}{16} + \frac{5 i e^{- x}}{16} + \frac{5 e^{- 2 x}}{128} + \frac{5 i e^{- 3 x}}{96} + \frac{e^{- 4 x}}{64} + \frac{i e^{- 5 x}}{160} + \frac{e^{- 6 x}}{384}"," ",0,"exp(6*x)/384 - I*exp(5*x)/160 + exp(4*x)/64 - 5*I*exp(3*x)/96 + 5*exp(2*x)/128 - 5*I*exp(x)/16 + 5*I*exp(-x)/16 + 5*exp(-2*x)/128 + 5*I*exp(-3*x)/96 + exp(-4*x)/64 + I*exp(-5*x)/160 + exp(-6*x)/384","B",0
160,1,82,0,0.233739," ","integrate(cosh(x)**6/(I+sinh(x)),x)","- \frac{3 i x}{8} + \frac{e^{5 x}}{160} - \frac{i e^{4 x}}{64} + \frac{e^{3 x}}{32} - \frac{i e^{2 x}}{8} + \frac{e^{x}}{16} + \frac{e^{- x}}{16} + \frac{i e^{- 2 x}}{8} + \frac{e^{- 3 x}}{32} + \frac{i e^{- 4 x}}{64} + \frac{e^{- 5 x}}{160}"," ",0,"-3*I*x/8 + exp(5*x)/160 - I*exp(4*x)/64 + exp(3*x)/32 - I*exp(2*x)/8 + exp(x)/16 + exp(-x)/16 + I*exp(-2*x)/8 + exp(-3*x)/32 + I*exp(-4*x)/64 + exp(-5*x)/160","B",0
161,1,63,0,0.195727," ","integrate(cosh(x)**5/(I+sinh(x)),x)","\frac{e^{4 x}}{64} - \frac{i e^{3 x}}{24} + \frac{e^{2 x}}{16} - \frac{3 i e^{x}}{8} + \frac{3 i e^{- x}}{8} + \frac{e^{- 2 x}}{16} + \frac{i e^{- 3 x}}{24} + \frac{e^{- 4 x}}{64}"," ",0,"exp(4*x)/64 - I*exp(3*x)/24 + exp(2*x)/16 - 3*I*exp(x)/8 + 3*I*exp(-x)/8 + exp(-2*x)/16 + I*exp(-3*x)/24 + exp(-4*x)/64","B",0
162,1,48,0,0.176497," ","integrate(cosh(x)**4/(I+sinh(x)),x)","- \frac{i x}{2} + \frac{e^{3 x}}{24} - \frac{i e^{2 x}}{8} + \frac{e^{x}}{8} + \frac{e^{- x}}{8} + \frac{i e^{- 2 x}}{8} + \frac{e^{- 3 x}}{24}"," ",0,"-I*x/2 + exp(3*x)/24 - I*exp(2*x)/8 + exp(x)/8 + exp(-x)/8 + I*exp(-2*x)/8 + exp(-3*x)/24","B",0
163,1,27,0,0.145260," ","integrate(cosh(x)**3/(I+sinh(x)),x)","\frac{e^{2 x}}{8} - \frac{i e^{x}}{2} + \frac{i e^{- x}}{2} + \frac{e^{- 2 x}}{8}"," ",0,"exp(2*x)/8 - I*exp(x)/2 + I*exp(-x)/2 + exp(-2*x)/8","B",0
164,1,14,0,0.117759," ","integrate(cosh(x)**2/(I+sinh(x)),x)","- i x + \frac{e^{x}}{2} + \frac{e^{- x}}{2}"," ",0,"-I*x + exp(x)/2 + exp(-x)/2","B",0
165,1,15,0,0.127169," ","integrate(cosh(x)/(I+sinh(x)),x)","x \left(1 + 2 i\right) - 2 i \log{\left(e^{x} + i \right)}"," ",0,"x*(1 + 2*I) - 2*I*log(exp(x) + I)","B",0
166,0,0,0,0.000000," ","integrate(sech(x)/(I+sinh(x)),x)","\int \frac{\operatorname{sech}{\left(x \right)}}{\sinh{\left(x \right)} + i}\, dx"," ",0,"Integral(sech(x)/(sinh(x) + I), x)","F",0
167,0,0,0,0.000000," ","integrate(sech(x)**2/(I+sinh(x)),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{\sinh{\left(x \right)} + i}\, dx"," ",0,"Integral(sech(x)**2/(sinh(x) + I), x)","F",0
168,0,0,0,0.000000," ","integrate(sech(x)**3/(I+sinh(x)),x)","\int \frac{\operatorname{sech}^{3}{\left(x \right)}}{\sinh{\left(x \right)} + i}\, dx"," ",0,"Integral(sech(x)**3/(sinh(x) + I), x)","F",0
169,0,0,0,0.000000," ","integrate(sech(x)**4/(I+sinh(x)),x)","\int \frac{\operatorname{sech}^{4}{\left(x \right)}}{\sinh{\left(x \right)} + i}\, dx"," ",0,"Integral(sech(x)**4/(sinh(x) + I), x)","F",0
170,0,0,0,0.000000," ","integrate(sech(x)**5/(I+sinh(x)),x)","\int \frac{\operatorname{sech}^{5}{\left(x \right)}}{\sinh{\left(x \right)} + i}\, dx"," ",0,"Integral(sech(x)**5/(sinh(x) + I), x)","F",0
171,1,65,0,0.236359," ","integrate(cosh(x)**6/(I+sinh(x))**2,x)","- \frac{5 x}{8} + \frac{e^{4 x}}{64} - \frac{i e^{3 x}}{12} - \frac{e^{2 x}}{8} - \frac{i e^{x}}{4} - \frac{i e^{- x}}{4} + \frac{e^{- 2 x}}{8} - \frac{i e^{- 3 x}}{12} - \frac{e^{- 4 x}}{64}"," ",0,"-5*x/8 + exp(4*x)/64 - I*exp(3*x)/12 - exp(2*x)/8 - I*exp(x)/4 - I*exp(-x)/4 + exp(-2*x)/8 - I*exp(-3*x)/12 - exp(-4*x)/64","A",0
172,1,44,0,0.185823," ","integrate(cosh(x)**5/(I+sinh(x))**2,x)","\frac{e^{3 x}}{24} - \frac{i e^{2 x}}{4} - \frac{5 e^{x}}{8} + \frac{5 e^{- x}}{8} - \frac{i e^{- 2 x}}{4} - \frac{e^{- 3 x}}{24}"," ",0,"exp(3*x)/24 - I*exp(2*x)/4 - 5*exp(x)/8 + 5*exp(-x)/8 - I*exp(-2*x)/4 - exp(-3*x)/24","B",0
173,1,29,0,0.161690," ","integrate(cosh(x)**4/(I+sinh(x))**2,x)","- \frac{3 x}{2} + \frac{e^{2 x}}{8} - i e^{x} - i e^{- x} - \frac{e^{- 2 x}}{8}"," ",0,"-3*x/2 + exp(2*x)/8 - I*exp(x) - I*exp(-x) - exp(-2*x)/8","A",0
174,1,26,0,0.184911," ","integrate(cosh(x)**3/(I+sinh(x))**2,x)","2 i x + \frac{e^{x}}{2} - 4 i \log{\left(e^{x} + i \right)} - \frac{e^{- x}}{2}"," ",0,"2*I*x + exp(x)/2 - 4*I*log(exp(x) + I) - exp(-x)/2","B",0
175,1,8,0,0.116347," ","integrate(cosh(x)**2/(I+sinh(x))**2,x)","x + \frac{4}{- i e^{x} + 1}"," ",0,"x + 4/(-I*exp(x) + 1)","A",0
176,1,17,0,0.120136," ","integrate(cosh(x)/(I+sinh(x))**2,x)","\frac{2 e^{x}}{- e^{2 x} - 2 i e^{x} + 1}"," ",0,"2*exp(x)/(-exp(2*x) - 2*I*exp(x) + 1)","B",0
177,0,0,0,0.000000," ","integrate(sech(x)/(I+sinh(x))**2,x)","\int \frac{\operatorname{sech}{\left(x \right)}}{\left(\sinh{\left(x \right)} + i\right)^{2}}\, dx"," ",0,"Integral(sech(x)/(sinh(x) + I)**2, x)","F",0
178,0,0,0,0.000000," ","integrate(sech(x)**2/(I+sinh(x))**2,x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{\left(\sinh{\left(x \right)} + i\right)^{2}}\, dx"," ",0,"Integral(sech(x)**2/(sinh(x) + I)**2, x)","F",0
179,0,0,0,0.000000," ","integrate(sech(x)**3/(I+sinh(x))**2,x)","\int \frac{\operatorname{sech}^{3}{\left(x \right)}}{\left(\sinh{\left(x \right)} + i\right)^{2}}\, dx"," ",0,"Integral(sech(x)**3/(sinh(x) + I)**2, x)","F",0
180,0,0,0,0.000000," ","integrate(sech(x)**4/(I+sinh(x))**2,x)","\int \frac{\operatorname{sech}^{4}{\left(x \right)}}{\left(\sinh{\left(x \right)} + i\right)^{2}}\, dx"," ",0,"Integral(sech(x)**4/(sinh(x) + I)**2, x)","F",0
181,1,31,0,0.172711," ","integrate(cosh(x)**3/(1+I*sinh(x))**3,x)","x \left(-2 + i\right) + 2 \log{\left(e^{x} - i \right)} - \frac{4 e^{x}}{- e^{2 x} + 2 i e^{x} + 1}"," ",0,"x*(-2 + I) + 2*log(exp(x) - I) - 4*exp(x)/(-exp(2*x) + 2*I*exp(x) + 1)","A",0
182,1,31,0,0.147038," ","integrate(cosh(x)**2/(1+I*sinh(x))**3,x)","\frac{6 e^{2 x} - 2}{3 i e^{3 x} + 9 e^{2 x} - 9 i e^{x} - 3}"," ",0,"(6*exp(2*x) - 2)/(3*I*exp(3*x) + 9*exp(2*x) - 9*I*exp(x) - 3)","B",0
183,1,37,0,0.151888," ","integrate(cosh(x)/(1+I*sinh(x))**3,x)","- \frac{2 i e^{2 x}}{e^{4 x} - 4 i e^{3 x} - 6 e^{2 x} + 4 i e^{x} + 1}"," ",0,"-2*I*exp(2*x)/(exp(4*x) - 4*I*exp(3*x) - 6*exp(2*x) + 4*I*exp(x) + 1)","B",0
184,1,32,0,0.152082," ","integrate(cosh(x)**3/(1-I*sinh(x))**3,x)","x \left(-2 - i\right) + 2 \log{\left(e^{x} + i \right)} - \frac{4 e^{x}}{- e^{2 x} - 2 i e^{x} + 1}"," ",0,"x*(-2 - I) + 2*log(exp(x) + I) - 4*exp(x)/(-exp(2*x) - 2*I*exp(x) + 1)","A",0
185,1,31,0,0.148530," ","integrate(cosh(x)**2/(1-I*sinh(x))**3,x)","\frac{6 e^{2 x} - 2}{- 3 i e^{3 x} + 9 e^{2 x} + 9 i e^{x} - 3}"," ",0,"(6*exp(2*x) - 2)/(-3*I*exp(3*x) + 9*exp(2*x) + 9*I*exp(x) - 3)","A",0
186,1,36,0,0.148457," ","integrate(cosh(x)/(1-I*sinh(x))**3,x)","\frac{2 i e^{2 x}}{e^{4 x} + 4 i e^{3 x} - 6 e^{2 x} - 4 i e^{x} + 1}"," ",0,"2*I*exp(2*x)/(exp(4*x) + 4*I*exp(3*x) - 6*exp(2*x) - 4*I*exp(x) + 1)","B",0
187,-1,0,0,0.000000," ","integrate(cosh(x)**7/(a+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
188,-1,0,0,0.000000," ","integrate(cosh(x)**6/(a+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
189,-1,0,0,0.000000," ","integrate(cosh(x)**5/(a+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
190,-1,0,0,0.000000," ","integrate(cosh(x)**4/(a+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
191,-1,0,0,0.000000," ","integrate(cosh(x)**3/(a+b*sinh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
192,1,377,0,138.905897," ","integrate(cosh(x)**2/(a+b*sinh(x)),x)","\begin{cases} \tilde{\infty} \left(\frac{\log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} \tanh^{2}{\left(\frac{x}{2} \right)}}{\tanh^{2}{\left(\frac{x}{2} \right)} - 1} - \frac{\log{\left(\tanh{\left(\frac{x}{2} \right)} \right)}}{\tanh^{2}{\left(\frac{x}{2} \right)} - 1} - \frac{2}{\tanh^{2}{\left(\frac{x}{2} \right)} - 1}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{\frac{\log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} \tanh^{2}{\left(\frac{x}{2} \right)}}{\tanh^{2}{\left(\frac{x}{2} \right)} - 1} - \frac{\log{\left(\tanh{\left(\frac{x}{2} \right)} \right)}}{\tanh^{2}{\left(\frac{x}{2} \right)} - 1} - \frac{2}{\tanh^{2}{\left(\frac{x}{2} \right)} - 1}}{b} & \text{for}\: a = 0 \\\frac{- \frac{x \sinh^{2}{\left(x \right)}}{2} + \frac{x \cosh^{2}{\left(x \right)}}{2} + \frac{\sinh{\left(x \right)} \cosh{\left(x \right)}}{2}}{a} & \text{for}\: b = 0 \\- \frac{a x \tanh^{2}{\left(\frac{x}{2} \right)}}{b^{2} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2}} + \frac{a x}{b^{2} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2}} - \frac{2 b}{b^{2} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2}} - \frac{\sqrt{a^{2} + b^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)} \tanh^{2}{\left(\frac{x}{2} \right)}}{b^{2} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2}} + \frac{\sqrt{a^{2} + b^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{b^{2} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2}} + \frac{\sqrt{a^{2} + b^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)} \tanh^{2}{\left(\frac{x}{2} \right)}}{b^{2} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2}} - \frac{\sqrt{a^{2} + b^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{b^{2} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(log(tanh(x/2))*tanh(x/2)**2/(tanh(x/2)**2 - 1) - log(tanh(x/2))/(tanh(x/2)**2 - 1) - 2/(tanh(x/2)**2 - 1)), Eq(a, 0) & Eq(b, 0)), ((log(tanh(x/2))*tanh(x/2)**2/(tanh(x/2)**2 - 1) - log(tanh(x/2))/(tanh(x/2)**2 - 1) - 2/(tanh(x/2)**2 - 1))/b, Eq(a, 0)), ((-x*sinh(x)**2/2 + x*cosh(x)**2/2 + sinh(x)*cosh(x)/2)/a, Eq(b, 0)), (-a*x*tanh(x/2)**2/(b**2*tanh(x/2)**2 - b**2) + a*x/(b**2*tanh(x/2)**2 - b**2) - 2*b/(b**2*tanh(x/2)**2 - b**2) - sqrt(a**2 + b**2)*log(tanh(x/2) - b/a - sqrt(a**2 + b**2)/a)*tanh(x/2)**2/(b**2*tanh(x/2)**2 - b**2) + sqrt(a**2 + b**2)*log(tanh(x/2) - b/a - sqrt(a**2 + b**2)/a)/(b**2*tanh(x/2)**2 - b**2) + sqrt(a**2 + b**2)*log(tanh(x/2) - b/a + sqrt(a**2 + b**2)/a)*tanh(x/2)**2/(b**2*tanh(x/2)**2 - b**2) - sqrt(a**2 + b**2)*log(tanh(x/2) - b/a + sqrt(a**2 + b**2)/a)/(b**2*tanh(x/2)**2 - b**2), True))","A",0
193,1,14,0,0.309217," ","integrate(cosh(x)/(a+b*sinh(x)),x)","\begin{cases} \frac{\log{\left(\frac{a}{b} + \sinh{\left(x \right)} \right)}}{b} & \text{for}\: b \neq 0 \\\frac{\sinh{\left(x \right)}}{a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(a/b + sinh(x))/b, Ne(b, 0)), (sinh(x)/a, True))","A",0
194,0,0,0,0.000000," ","integrate(sech(x)/(a+b*sinh(x)),x)","\int \frac{\operatorname{sech}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)/(a + b*sinh(x)), x)","F",0
195,0,0,0,0.000000," ","integrate(sech(x)**2/(a+b*sinh(x)),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**2/(a + b*sinh(x)), x)","F",0
196,0,0,0,0.000000," ","integrate(sech(x)**3/(a+b*sinh(x)),x)","\int \frac{\operatorname{sech}^{3}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**3/(a + b*sinh(x)), x)","F",0
197,0,0,0,0.000000," ","integrate(sech(x)**4/(a+b*sinh(x)),x)","\int \frac{\operatorname{sech}^{4}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**4/(a + b*sinh(x)), x)","F",0
198,0,0,0,0.000000," ","integrate(sech(x)**5/(a+b*sinh(x)),x)","\int \frac{\operatorname{sech}^{5}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**5/(a + b*sinh(x)), x)","F",0
199,0,0,0,0.000000," ","integrate(sech(x)**6/(a+b*sinh(x)),x)","\int \frac{\operatorname{sech}^{6}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**6/(a + b*sinh(x)), x)","F",0
200,-1,0,0,0.000000," ","integrate(cosh(x)**4/(a+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
201,1,133,0,1.061774," ","integrate(cosh(x)**3/(a+b*sinh(x))**2,x)","\begin{cases} - \frac{2 a^{2} \log{\left(\frac{a}{b} + \sinh{\left(x \right)} \right)}}{a b^{3} + b^{4} \sinh{\left(x \right)}} - \frac{2 a^{2}}{a b^{3} + b^{4} \sinh{\left(x \right)}} - \frac{2 a b \log{\left(\frac{a}{b} + \sinh{\left(x \right)} \right)} \sinh{\left(x \right)}}{a b^{3} + b^{4} \sinh{\left(x \right)}} + \frac{2 b^{2} \sinh^{2}{\left(x \right)}}{a b^{3} + b^{4} \sinh{\left(x \right)}} - \frac{b^{2} \cosh^{2}{\left(x \right)}}{a b^{3} + b^{4} \sinh{\left(x \right)}} & \text{for}\: b \neq 0 \\\frac{- \frac{2 \sinh^{3}{\left(x \right)}}{3} + \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{a^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*a**2*log(a/b + sinh(x))/(a*b**3 + b**4*sinh(x)) - 2*a**2/(a*b**3 + b**4*sinh(x)) - 2*a*b*log(a/b + sinh(x))*sinh(x)/(a*b**3 + b**4*sinh(x)) + 2*b**2*sinh(x)**2/(a*b**3 + b**4*sinh(x)) - b**2*cosh(x)**2/(a*b**3 + b**4*sinh(x)), Ne(b, 0)), ((-2*sinh(x)**3/3 + sinh(x)*cosh(x)**2)/a**2, True))","A",0
202,-1,0,0,0.000000," ","integrate(cosh(x)**2/(a+b*sinh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
203,1,19,0,0.614288," ","integrate(cosh(x)/(a+b*sinh(x))**2,x)","\begin{cases} - \frac{1}{a b + b^{2} \sinh{\left(x \right)}} & \text{for}\: b \neq 0 \\\frac{\sinh{\left(x \right)}}{a^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-1/(a*b + b**2*sinh(x)), Ne(b, 0)), (sinh(x)/a**2, True))","A",0
204,0,0,0,0.000000," ","integrate(sech(x)/(a+b*sinh(x))**2,x)","\int \frac{\operatorname{sech}{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(sech(x)/(a + b*sinh(x))**2, x)","F",0
205,0,0,0,0.000000," ","integrate(sech(x)**2/(a+b*sinh(x))**2,x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(sech(x)**2/(a + b*sinh(x))**2, x)","F",0
206,0,0,0,0.000000," ","integrate(sech(x)**3/(a+b*sinh(x))**2,x)","\int \frac{\operatorname{sech}^{3}{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(sech(x)**3/(a + b*sinh(x))**2, x)","F",0
207,0,0,0,0.000000," ","integrate(sech(x)**4/(a+b*sinh(x))**2,x)","\int \frac{\operatorname{sech}^{4}{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(sech(x)**4/(a + b*sinh(x))**2, x)","F",0
208,1,107,0,0.293848," ","integrate(tanh(x)**4/(I+sinh(x)),x)","\frac{30 e^{7 x} + 30 i e^{6 x} + 10 e^{5 x} + 50 i e^{4 x} + 26 e^{3 x} + 42 i e^{2 x} - 18 e^{x} + 6 i}{- 15 e^{8 x} - 30 i e^{7 x} - 30 e^{6 x} - 90 i e^{5 x} - 90 i e^{3 x} + 30 e^{2 x} - 30 i e^{x} + 15}"," ",0,"(30*exp(7*x) + 30*I*exp(6*x) + 10*exp(5*x) + 50*I*exp(4*x) + 26*exp(3*x) + 42*I*exp(2*x) - 18*exp(x) + 6*I)/(-15*exp(8*x) - 30*I*exp(7*x) - 30*exp(6*x) - 90*I*exp(5*x) - 90*I*exp(3*x) + 30*exp(2*x) - 30*I*exp(x) + 15)","B",0
209,1,100,0,0.259316," ","integrate(tanh(x)**3/(I+sinh(x)),x)","\frac{5 e^{5 x} + 2 i e^{4 x} - 2 e^{3 x} - 2 i e^{2 x} + 5 e^{x}}{- 4 e^{6 x} - 8 i e^{5 x} - 4 e^{4 x} - 16 i e^{3 x} + 4 e^{2 x} - 8 i e^{x} + 4} + \frac{3 \log{\left(e^{x} - i \right)}}{8} - \frac{3 \log{\left(e^{x} + i \right)}}{8}"," ",0,"(5*exp(5*x) + 2*I*exp(4*x) - 2*exp(3*x) - 2*I*exp(2*x) + 5*exp(x))/(-4*exp(6*x) - 8*I*exp(5*x) - 4*exp(4*x) - 16*I*exp(3*x) + 4*exp(2*x) - 8*I*exp(x) + 4) + 3*log(exp(x) - I)/8 - 3*log(exp(x) + I)/8","B",0
210,1,46,0,0.174090," ","integrate(tanh(x)**2/(I+sinh(x)),x)","\frac{6 e^{3 x} + 6 i e^{2 x} - 2 e^{x} + 2 i}{- 3 e^{4 x} - 6 i e^{3 x} - 6 i e^{x} + 3}"," ",0,"(6*exp(3*x) + 6*I*exp(2*x) - 2*exp(x) + 2*I)/(-3*exp(4*x) - 6*I*exp(3*x) - 6*I*exp(x) + 3)","B",0
211,1,32,0,0.209029," ","integrate(tanh(x)/(I+sinh(x)),x)","\frac{\log{\left(e^{x} - i \right)}}{2} - \frac{\log{\left(e^{x} + i \right)}}{2} + \frac{e^{x}}{- e^{2 x} - 2 i e^{x} + 1}"," ",0,"log(exp(x) - I)/2 - log(exp(x) + I)/2 + exp(x)/(-exp(2*x) - 2*I*exp(x) + 1)","A",0
212,1,15,0,0.270293," ","integrate(coth(x)/(I+sinh(x)),x)","- 2 \log{\left(e^{x} + i \right)} + \log{\left(e^{2 x} - 1 \right)}"," ",0,"-2*log(exp(x) + I) + log(exp(2*x) - 1)","A",0
213,1,22,0,0.144650," ","integrate(coth(x)**2/(I+sinh(x)),x)","\log{\left(e^{x} - 1 \right)} - \log{\left(e^{x} + 1 \right)} + \frac{2}{- i e^{2 x} + i}"," ",0,"log(exp(x) - 1) - log(exp(x) + 1) + 2/(-I*exp(2*x) + I)","B",0
214,1,32,0,0.164983," ","integrate(coth(x)**3/(I+sinh(x)),x)","\frac{- 2 e^{3 x} + 2 i e^{2 x} + 2 e^{x}}{e^{4 x} - 2 e^{2 x} + 1}"," ",0,"(-2*exp(3*x) + 2*I*exp(2*x) + 2*exp(x))/(exp(4*x) - 2*exp(2*x) + 1)","B",0
215,1,61,0,0.277892," ","integrate(coth(x)**4/(I+sinh(x)),x)","\frac{3 e^{5 x} - 6 i e^{4 x} - 3 e^{x} - 2 i}{- 3 e^{6 x} + 9 e^{4 x} - 9 e^{2 x} + 3} + \frac{\log{\left(e^{x} - 1 \right)}}{2} - \frac{\log{\left(e^{x} + 1 \right)}}{2}"," ",0,"(3*exp(5*x) - 6*I*exp(4*x) - 3*exp(x) - 2*I)/(-3*exp(6*x) + 9*exp(4*x) - 9*exp(2*x) + 3) + log(exp(x) - 1)/2 - log(exp(x) + 1)/2","B",0
216,1,70,0,0.206921," ","integrate(coth(x)**5/(I+sinh(x)),x)","\frac{- 6 e^{7 x} + 6 i e^{6 x} + 10 e^{5 x} - 10 e^{3 x} + 6 i e^{2 x} + 6 e^{x}}{3 e^{8 x} - 12 e^{6 x} + 18 e^{4 x} - 12 e^{2 x} + 3}"," ",0,"(-6*exp(7*x) + 6*I*exp(6*x) + 10*exp(5*x) - 10*exp(3*x) + 6*I*exp(2*x) + 6*exp(x))/(3*exp(8*x) - 12*exp(6*x) + 18*exp(4*x) - 12*exp(2*x) + 3)","B",0
217,1,100,0,0.305876," ","integrate(coth(x)**6/(I+sinh(x)),x)","\frac{3 \log{\left(e^{x} - 1 \right)}}{8} - \frac{3 \log{\left(e^{x} + 1 \right)}}{8} + \frac{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}{- 20 e^{10 x} + 100 e^{8 x} - 200 e^{6 x} + 200 e^{4 x} - 100 e^{2 x} + 20}"," ",0,"3*log(exp(x) - 1)/8 - 3*log(exp(x) + 1)/8 + (25*exp(9*x) - 40*I*exp(8*x) - 10*exp(7*x) - 80*I*exp(4*x) + 10*exp(3*x) - 25*exp(x) - 8*I)/(-20*exp(10*x) + 100*exp(8*x) - 200*exp(6*x) + 200*exp(4*x) - 100*exp(2*x) + 20)","B",0
218,1,128,0,0.292206," ","integrate(tanh(x)**4/(I+sinh(x))**2,x)","\frac{- 210 e^{8 x} - 280 i e^{7 x} + 280 e^{6 x} - 168 i e^{5 x} - 28 e^{4 x} - 136 i e^{3 x} + 264 e^{2 x} + 72 i e^{x} - 18}{105 e^{10 x} + 420 i e^{9 x} - 315 e^{8 x} + 840 i e^{7 x} - 1470 e^{6 x} - 1470 e^{4 x} - 840 i e^{3 x} - 315 e^{2 x} - 420 i e^{x} + 105}"," ",0,"(-210*exp(8*x) - 280*I*exp(7*x) + 280*exp(6*x) - 168*I*exp(5*x) - 28*exp(4*x) - 136*I*exp(3*x) + 264*exp(2*x) + 72*I*exp(x) - 18)/(105*exp(10*x) + 420*I*exp(9*x) - 315*exp(8*x) + 840*I*exp(7*x) - 1470*exp(6*x) - 1470*exp(4*x) - 840*I*exp(3*x) - 315*exp(2*x) - 420*I*exp(x) + 105)","B",0
219,1,129,0,0.304826," ","integrate(tanh(x)**3/(I+sinh(x))**2,x)","\frac{- 3 i e^{7 x} - 12 e^{6 x} - 19 i e^{5 x} + 40 e^{4 x} + 19 i e^{3 x} - 12 e^{2 x} + 3 i e^{x}}{12 e^{8 x} + 48 i e^{7 x} - 48 e^{6 x} + 48 i e^{5 x} - 120 e^{4 x} - 48 i e^{3 x} - 48 e^{2 x} - 48 i e^{x} + 12} + \operatorname{RootSum} {\left(64 z^{2} + 1, \left( i \mapsto i \log{\left(8 i + e^{x} \right)} \right)\right)}"," ",0,"(-3*I*exp(7*x) - 12*exp(6*x) - 19*I*exp(5*x) + 40*exp(4*x) + 19*I*exp(3*x) - 12*exp(2*x) + 3*I*exp(x))/(12*exp(8*x) + 48*I*exp(7*x) - 48*exp(6*x) + 48*I*exp(5*x) - 120*exp(4*x) - 48*I*exp(3*x) - 48*exp(2*x) - 48*I*exp(x) + 12) + RootSum(64*_z**2 + 1, Lambda(_i, _i*log(8*_i + exp(x))))","B",0
220,1,66,0,0.198015," ","integrate(tanh(x)**2/(I+sinh(x))**2,x)","\frac{- 30 e^{4 x} - 40 i e^{3 x} + 40 e^{2 x} + 8 i e^{x} - 2}{15 e^{6 x} + 60 i e^{5 x} - 75 e^{4 x} - 75 e^{2 x} - 60 i e^{x} + 15}"," ",0,"(-30*exp(4*x) - 40*I*exp(3*x) + 40*exp(2*x) + 8*I*exp(x) - 2)/(15*exp(6*x) + 60*I*exp(5*x) - 75*exp(4*x) - 75*exp(2*x) - 60*I*exp(x) + 15)","A",0
221,1,58,0,0.227444," ","integrate(tanh(x)/(I+sinh(x))**2,x)","\frac{- i e^{3 x} + i e^{x}}{2 e^{4 x} + 8 i e^{3 x} - 12 e^{2 x} - 8 i e^{x} + 2} + \operatorname{RootSum} {\left(16 z^{2} + 1, \left( i \mapsto i \log{\left(4 i + e^{x} \right)} \right)\right)}"," ",0,"(-I*exp(3*x) + I*exp(x))/(2*exp(4*x) + 8*I*exp(3*x) - 12*exp(2*x) - 8*I*exp(x) + 2) + RootSum(16*_z**2 + 1, Lambda(_i, _i*log(4*_i + exp(x))))","A",0
222,1,39,0,0.261292," ","integrate(coth(x)/(I+sinh(x))**2,x)","2 i \log{\left(e^{x} + i \right)} - i \log{\left(e^{2 x} - 1 \right)} - \frac{2 i e^{x}}{e^{2 x} + 2 i e^{x} - 1}"," ",0,"2*I*log(exp(x) + I) - I*log(exp(2*x) - 1) - 2*I*exp(x)/(exp(2*x) + 2*I*exp(x) - 1)","B",0
223,1,49,0,0.219680," ","integrate(coth(x)**2/(I+sinh(x))**2,x)","\frac{4 e^{2 x} + 2 i e^{x} - 6}{i e^{3 x} - e^{2 x} - i e^{x} + 1} + 2 \log{\left(e^{x} - 1 \right)} - 2 \log{\left(e^{x} + 1 \right)}"," ",0,"(4*exp(2*x) + 2*I*exp(x) - 6)/(I*exp(3*x) - exp(2*x) - I*exp(x) + 1) + 2*log(exp(x) - 1) - 2*log(exp(x) + 1)","B",0
224,1,53,0,0.274925," ","integrate(coth(x)**3/(I+sinh(x))**2,x)","\frac{4 i e^{3 x} + 2 e^{2 x} - 4 i e^{x}}{e^{4 x} - 2 e^{2 x} + 1} - 4 \log{\left(e^{x} + i \right)} + 2 \log{\left(e^{2 x} - 1 \right)}"," ",0,"(4*I*exp(3*x) + 2*exp(2*x) - 4*I*exp(x))/(exp(4*x) - 2*exp(2*x) + 1) - 4*log(exp(x) + I) + 2*log(exp(2*x) - 1)","A",0
225,1,66,0,0.302616," ","integrate(coth(x)**4/(I+sinh(x))**2,x)","\operatorname{RootSum} {\left(z^{2} + 1, \left( i \mapsto i \log{\left(i i + e^{x} \right)} \right)\right)} + \frac{6 i e^{5 x} - 6 e^{4 x} + 24 e^{2 x} - 6 i e^{x} - 10}{3 e^{6 x} - 9 e^{4 x} + 9 e^{2 x} - 3}"," ",0,"RootSum(_z**2 + 1, Lambda(_i, _i*log(_i*I + exp(x)))) + (6*I*exp(5*x) - 6*exp(4*x) + 24*exp(2*x) - 6*I*exp(x) - 10)/(3*exp(6*x) - 9*exp(4*x) + 9*exp(2*x) - 3)","B",0
226,1,65,0,0.292063," ","integrate(coth(x)**5/(I+sinh(x))**2,x)","\frac{- 6 e^{6 x} + 16 i e^{5 x} + 24 e^{4 x} - 16 i e^{3 x} - 6 e^{2 x}}{3 e^{8 x} - 12 e^{6 x} + 18 e^{4 x} - 12 e^{2 x} + 3}"," ",0,"(-6*exp(6*x) + 16*I*exp(5*x) + 24*exp(4*x) - 16*I*exp(3*x) - 6*exp(2*x))/(3*exp(8*x) - 12*exp(6*x) + 18*exp(4*x) - 12*exp(2*x) + 3)","B",0
227,1,114,0,0.339715," ","integrate(coth(x)**6/(I+sinh(x))**2,x)","\operatorname{RootSum} {\left(16 z^{2} + 1, \left( i \mapsto i \log{\left(4 i i + e^{x} \right)} \right)\right)} + \frac{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}{30 e^{10 x} - 150 e^{8 x} + 300 e^{6 x} - 300 e^{4 x} + 150 e^{2 x} - 30}"," ",0,"RootSum(16*_z**2 + 1, Lambda(_i, _i*log(4*_i*I + exp(x)))) + (15*I*exp(9*x) - 60*exp(8*x) + 90*I*exp(7*x) + 240*exp(6*x) - 40*exp(4*x) - 90*I*exp(3*x) + 80*exp(2*x) - 15*I*exp(x) - 28)/(30*exp(10*x) - 150*exp(8*x) + 300*exp(6*x) - 300*exp(4*x) + 150*exp(2*x) - 30)","B",0
228,0,0,0,0.000000," ","integrate(tanh(x)**4/(a+b*sinh(x)),x)","\int \frac{\tanh^{4}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(tanh(x)**4/(a + b*sinh(x)), x)","F",0
229,0,0,0,0.000000," ","integrate(tanh(x)**3/(a+b*sinh(x)),x)","\int \frac{\tanh^{3}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(tanh(x)**3/(a + b*sinh(x)), x)","F",0
230,0,0,0,0.000000," ","integrate(tanh(x)**2/(a+b*sinh(x)),x)","\int \frac{\tanh^{2}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(tanh(x)**2/(a + b*sinh(x)), x)","F",0
231,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*sinh(x)),x)","\int \frac{\tanh{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(tanh(x)/(a + b*sinh(x)), x)","F",0
232,0,0,0,0.000000," ","integrate(coth(x)/(a+b*sinh(x)),x)","\int \frac{\coth{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(coth(x)/(a + b*sinh(x)), x)","F",0
233,0,0,0,0.000000," ","integrate(coth(x)**2/(a+b*sinh(x)),x)","\int \frac{\coth^{2}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(coth(x)**2/(a + b*sinh(x)), x)","F",0
234,0,0,0,0.000000," ","integrate(coth(x)**3/(a+b*sinh(x)),x)","\int \frac{\coth^{3}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(coth(x)**3/(a + b*sinh(x)), x)","F",0
235,0,0,0,0.000000," ","integrate(coth(x)**4/(a+b*sinh(x)),x)","\int \frac{\coth^{4}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral(coth(x)**4/(a + b*sinh(x)), x)","F",0
236,0,0,0,0.000000," ","integrate(tanh(x)**4/(a+b*sinh(x))**2,x)","\int \frac{\tanh^{4}{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(tanh(x)**4/(a + b*sinh(x))**2, x)","F",0
237,0,0,0,0.000000," ","integrate(tanh(x)**3/(a+b*sinh(x))**2,x)","\int \frac{\tanh^{3}{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(tanh(x)**3/(a + b*sinh(x))**2, x)","F",0
238,0,0,0,0.000000," ","integrate(tanh(x)**2/(a+b*sinh(x))**2,x)","\int \frac{\tanh^{2}{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(tanh(x)**2/(a + b*sinh(x))**2, x)","F",0
239,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*sinh(x))**2,x)","\int \frac{\tanh{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(tanh(x)/(a + b*sinh(x))**2, x)","F",0
240,0,0,0,0.000000," ","integrate(coth(x)/(a+b*sinh(x))**2,x)","\int \frac{\coth{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(coth(x)/(a + b*sinh(x))**2, x)","F",0
241,0,0,0,0.000000," ","integrate(coth(x)**2/(a+b*sinh(x))**2,x)","\int \frac{\coth^{2}{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(coth(x)**2/(a + b*sinh(x))**2, x)","F",0
242,0,0,0,0.000000," ","integrate(coth(x)**3/(a+b*sinh(x))**2,x)","\int \frac{\coth^{3}{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(coth(x)**3/(a + b*sinh(x))**2, x)","F",0
243,0,0,0,0.000000," ","integrate(coth(x)**4/(a+b*sinh(x))**2,x)","\int \frac{\coth^{4}{\left(x \right)}}{\left(a + b \sinh{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(coth(x)**4/(a + b*sinh(x))**2, x)","F",0
244,0,0,0,0.000000," ","integrate(coth(x)*(a+b*sinh(x))**(1/2),x)","\int \sqrt{a + b \sinh{\left(x \right)}} \coth{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*sinh(x))*coth(x), x)","F",0
245,0,0,0,0.000000," ","integrate(coth(x)/(a+b*sinh(x))**(1/2),x)","\int \frac{\coth{\left(x \right)}}{\sqrt{a + b \sinh{\left(x \right)}}}\, dx"," ",0,"Integral(coth(x)/sqrt(a + b*sinh(x)), x)","F",0
246,1,745,0,73.278429," ","integrate((A+B*cosh(x))/(a+b*sinh(x)),x)","\begin{cases} \tilde{\infty} \left(A \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + B x - 2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} + B \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{A x + B \sinh{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{A \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + B x - 2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} + B \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)}}{b} & \text{for}\: a = 0 \\\frac{2 i A \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} + \frac{B b x \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} + \frac{2 B b \log{\left(- \frac{i b}{\sqrt{b^{2}}} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} - \frac{2 B b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} - \frac{i B x \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} - \frac{2 i B \sqrt{b^{2}} \log{\left(- \frac{i b}{\sqrt{b^{2}}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} + \frac{2 i B \sqrt{b^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} - i b \sqrt{b^{2}}} & \text{for}\: a = - \sqrt{- b^{2}} \\- \frac{2 i A \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} + \frac{B b x \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} + \frac{2 B b \log{\left(\frac{i b}{\sqrt{b^{2}}} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} - \frac{2 B b \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} \tanh{\left(\frac{x}{2} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} + \frac{i B x \sqrt{b^{2}}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} + \frac{2 i B \sqrt{b^{2}} \log{\left(\frac{i b}{\sqrt{b^{2}}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} - \frac{2 i B \sqrt{b^{2}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b^{2} \tanh{\left(\frac{x}{2} \right)} + i b \sqrt{b^{2}}} & \text{for}\: a = \sqrt{- b^{2}} \\- \frac{A \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{\sqrt{a^{2} + b^{2}}} + \frac{A \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{\sqrt{a^{2} + b^{2}}} + \frac{B x}{b} - \frac{2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b} + \frac{B \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} - \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{b} + \frac{B \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{b}{a} + \frac{\sqrt{a^{2} + b^{2}}}{a} \right)}}{b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(A*log(tanh(x/2)) + B*x - 2*B*log(tanh(x/2) + 1) + B*log(tanh(x/2))), Eq(a, 0) & Eq(b, 0)), ((A*x + B*sinh(x))/a, Eq(b, 0)), ((A*log(tanh(x/2)) + B*x - 2*B*log(tanh(x/2) + 1) + B*log(tanh(x/2)))/b, Eq(a, 0)), (2*I*A*sqrt(b**2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) + B*b*x*tanh(x/2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) + 2*B*b*log(-I*b/sqrt(b**2) + tanh(x/2))*tanh(x/2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) - 2*B*b*log(tanh(x/2) + 1)*tanh(x/2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) - I*B*x*sqrt(b**2)/(b**2*tanh(x/2) - I*b*sqrt(b**2)) - 2*I*B*sqrt(b**2)*log(-I*b/sqrt(b**2) + tanh(x/2))/(b**2*tanh(x/2) - I*b*sqrt(b**2)) + 2*I*B*sqrt(b**2)*log(tanh(x/2) + 1)/(b**2*tanh(x/2) - I*b*sqrt(b**2)), Eq(a, -sqrt(-b**2))), (-2*I*A*sqrt(b**2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) + B*b*x*tanh(x/2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) + 2*B*b*log(I*b/sqrt(b**2) + tanh(x/2))*tanh(x/2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) - 2*B*b*log(tanh(x/2) + 1)*tanh(x/2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) + I*B*x*sqrt(b**2)/(b**2*tanh(x/2) + I*b*sqrt(b**2)) + 2*I*B*sqrt(b**2)*log(I*b/sqrt(b**2) + tanh(x/2))/(b**2*tanh(x/2) + I*b*sqrt(b**2)) - 2*I*B*sqrt(b**2)*log(tanh(x/2) + 1)/(b**2*tanh(x/2) + I*b*sqrt(b**2)), Eq(a, sqrt(-b**2))), (-A*log(tanh(x/2) - b/a - sqrt(a**2 + b**2)/a)/sqrt(a**2 + b**2) + A*log(tanh(x/2) - b/a + sqrt(a**2 + b**2)/a)/sqrt(a**2 + b**2) + B*x/b - 2*B*log(tanh(x/2) + 1)/b + B*log(tanh(x/2) - b/a - sqrt(a**2 + b**2)/a)/b + B*log(tanh(x/2) - b/a + sqrt(a**2 + b**2)/a)/b, True))","A",0
247,1,24,0,0.168225," ","integrate((A+B*cosh(x))/(I+sinh(x)),x)","\frac{2 A}{- e^{x} - i} + 3 B x - 2 B \log{\left(e^{x} + i \right)}"," ",0,"2*A/(-exp(x) - I) + 3*B*x - 2*B*log(exp(x) + I)","A",0
248,1,22,0,0.160796," ","integrate((A+B*cosh(x))/(I-sinh(x)),x)","- \frac{2 A}{- e^{x} + i} - 3 B x + 2 B \log{\left(e^{x} - i \right)}"," ",0,"-2*A/(-exp(x) + I) - 3*B*x + 2*B*log(exp(x) - I)","A",0
249,0,0,0,0.000000," ","integrate((A+B*tanh(x))/(a+b*sinh(x)),x)","\int \frac{A + B \tanh{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral((A + B*tanh(x))/(a + b*sinh(x)), x)","F",0
250,0,0,0,0.000000," ","integrate((A+B*coth(x))/(a+b*sinh(x)),x)","\int \frac{A + B \coth{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral((A + B*coth(x))/(a + b*sinh(x)), x)","F",0
251,0,0,0,0.000000," ","integrate((A+B*sech(x))/(a+b*sinh(x)),x)","\int \frac{A + B \operatorname{sech}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral((A + B*sech(x))/(a + b*sinh(x)), x)","F",0
252,0,0,0,0.000000," ","integrate((A+B*csch(x))/(a+b*sinh(x)),x)","\int \frac{A + B \operatorname{csch}{\left(x \right)}}{a + b \sinh{\left(x \right)}}\, dx"," ",0,"Integral((A + B*csch(x))/(a + b*sinh(x)), x)","F",0
253,1,1318,0,40.013001," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d)),x)","\begin{cases} \frac{\tilde{\infty} x \left(A + B \cosh{\left(d \right)} + C \sinh{\left(d \right)}\right)}{\sinh{\left(d \right)}} & \text{for}\: a = 0 \wedge c = 0 \wedge e = 0 \\\frac{2 i A}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - i c e} + \frac{B e x \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)}}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - i c e} - \frac{i B e x}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - i c e} - \frac{2 B \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + 1 \right)} \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)}}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - i c e} + \frac{2 i B \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + 1 \right)}}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - i c e} + \frac{2 B \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - i \right)} \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)}}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - i c e} - \frac{2 i B \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - i \right)}}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - i c e} + \frac{C e x \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)}}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - i c e} - \frac{i C e x}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - i c e} - \frac{2 C}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - i c e} & \text{for}\: a = - i c \\- \frac{2 i A}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + i c e} + \frac{B e x \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)}}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + i c e} + \frac{i B e x}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + i c e} - \frac{2 B \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + 1 \right)} \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)}}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + i c e} - \frac{2 i B \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + 1 \right)}}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + i c e} + \frac{2 B \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + i \right)} \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)}}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + i c e} + \frac{2 i B \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + i \right)}}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + i c e} + \frac{C e x \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)}}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + i c e} + \frac{i C e x}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + i c e} - \frac{2 C}{c e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + i c e} & \text{for}\: a = i c \\\frac{A x + \frac{B \sinh{\left(d + e x \right)}}{e} + \frac{C \cosh{\left(d + e x \right)}}{e}}{a} & \text{for}\: c = 0 \\\frac{x \left(A + B \cosh{\left(d \right)} + C \sinh{\left(d \right)}\right)}{a + c \sinh{\left(d \right)}} & \text{for}\: e = 0 \\\frac{\frac{A \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} \right)}}{e} + B x - \frac{2 B \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + 1 \right)}}{e} + \frac{B \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} \right)}}{e} + C x}{c} & \text{for}\: a = 0 \\- \frac{A c \sqrt{a^{2} + c^{2}} \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - \frac{c}{a} - \frac{\sqrt{a^{2} + c^{2}}}{a} \right)}}{a^{2} c e + c^{3} e} + \frac{A c \sqrt{a^{2} + c^{2}} \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - \frac{c}{a} + \frac{\sqrt{a^{2} + c^{2}}}{a} \right)}}{a^{2} c e + c^{3} e} + \frac{B a^{2} e x}{a^{2} c e + c^{3} e} - \frac{2 B a^{2} \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + 1 \right)}}{a^{2} c e + c^{3} e} + \frac{B a^{2} \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - \frac{c}{a} - \frac{\sqrt{a^{2} + c^{2}}}{a} \right)}}{a^{2} c e + c^{3} e} + \frac{B a^{2} \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - \frac{c}{a} + \frac{\sqrt{a^{2} + c^{2}}}{a} \right)}}{a^{2} c e + c^{3} e} + \frac{B c^{2} e x}{a^{2} c e + c^{3} e} - \frac{2 B c^{2} \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + 1 \right)}}{a^{2} c e + c^{3} e} + \frac{B c^{2} \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - \frac{c}{a} - \frac{\sqrt{a^{2} + c^{2}}}{a} \right)}}{a^{2} c e + c^{3} e} + \frac{B c^{2} \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - \frac{c}{a} + \frac{\sqrt{a^{2} + c^{2}}}{a} \right)}}{a^{2} c e + c^{3} e} + \frac{C a^{2} e x}{a^{2} c e + c^{3} e} + \frac{C a \sqrt{a^{2} + c^{2}} \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - \frac{c}{a} - \frac{\sqrt{a^{2} + c^{2}}}{a} \right)}}{a^{2} c e + c^{3} e} - \frac{C a \sqrt{a^{2} + c^{2}} \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} - \frac{c}{a} + \frac{\sqrt{a^{2} + c^{2}}}{a} \right)}}{a^{2} c e + c^{3} e} + \frac{C c^{2} e x}{a^{2} c e + c^{3} e} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x*(A + B*cosh(d) + C*sinh(d))/sinh(d), Eq(a, 0) & Eq(c, 0) & Eq(e, 0)), (2*I*A/(c*e*tanh(d/2 + e*x/2) - I*c*e) + B*e*x*tanh(d/2 + e*x/2)/(c*e*tanh(d/2 + e*x/2) - I*c*e) - I*B*e*x/(c*e*tanh(d/2 + e*x/2) - I*c*e) - 2*B*log(tanh(d/2 + e*x/2) + 1)*tanh(d/2 + e*x/2)/(c*e*tanh(d/2 + e*x/2) - I*c*e) + 2*I*B*log(tanh(d/2 + e*x/2) + 1)/(c*e*tanh(d/2 + e*x/2) - I*c*e) + 2*B*log(tanh(d/2 + e*x/2) - I)*tanh(d/2 + e*x/2)/(c*e*tanh(d/2 + e*x/2) - I*c*e) - 2*I*B*log(tanh(d/2 + e*x/2) - I)/(c*e*tanh(d/2 + e*x/2) - I*c*e) + C*e*x*tanh(d/2 + e*x/2)/(c*e*tanh(d/2 + e*x/2) - I*c*e) - I*C*e*x/(c*e*tanh(d/2 + e*x/2) - I*c*e) - 2*C/(c*e*tanh(d/2 + e*x/2) - I*c*e), Eq(a, -I*c)), (-2*I*A/(c*e*tanh(d/2 + e*x/2) + I*c*e) + B*e*x*tanh(d/2 + e*x/2)/(c*e*tanh(d/2 + e*x/2) + I*c*e) + I*B*e*x/(c*e*tanh(d/2 + e*x/2) + I*c*e) - 2*B*log(tanh(d/2 + e*x/2) + 1)*tanh(d/2 + e*x/2)/(c*e*tanh(d/2 + e*x/2) + I*c*e) - 2*I*B*log(tanh(d/2 + e*x/2) + 1)/(c*e*tanh(d/2 + e*x/2) + I*c*e) + 2*B*log(tanh(d/2 + e*x/2) + I)*tanh(d/2 + e*x/2)/(c*e*tanh(d/2 + e*x/2) + I*c*e) + 2*I*B*log(tanh(d/2 + e*x/2) + I)/(c*e*tanh(d/2 + e*x/2) + I*c*e) + C*e*x*tanh(d/2 + e*x/2)/(c*e*tanh(d/2 + e*x/2) + I*c*e) + I*C*e*x/(c*e*tanh(d/2 + e*x/2) + I*c*e) - 2*C/(c*e*tanh(d/2 + e*x/2) + I*c*e), Eq(a, I*c)), ((A*x + B*sinh(d + e*x)/e + C*cosh(d + e*x)/e)/a, Eq(c, 0)), (x*(A + B*cosh(d) + C*sinh(d))/(a + c*sinh(d)), Eq(e, 0)), ((A*log(tanh(d/2 + e*x/2))/e + B*x - 2*B*log(tanh(d/2 + e*x/2) + 1)/e + B*log(tanh(d/2 + e*x/2))/e + C*x)/c, Eq(a, 0)), (-A*c*sqrt(a**2 + c**2)*log(tanh(d/2 + e*x/2) - c/a - sqrt(a**2 + c**2)/a)/(a**2*c*e + c**3*e) + A*c*sqrt(a**2 + c**2)*log(tanh(d/2 + e*x/2) - c/a + sqrt(a**2 + c**2)/a)/(a**2*c*e + c**3*e) + B*a**2*e*x/(a**2*c*e + c**3*e) - 2*B*a**2*log(tanh(d/2 + e*x/2) + 1)/(a**2*c*e + c**3*e) + B*a**2*log(tanh(d/2 + e*x/2) - c/a - sqrt(a**2 + c**2)/a)/(a**2*c*e + c**3*e) + B*a**2*log(tanh(d/2 + e*x/2) - c/a + sqrt(a**2 + c**2)/a)/(a**2*c*e + c**3*e) + B*c**2*e*x/(a**2*c*e + c**3*e) - 2*B*c**2*log(tanh(d/2 + e*x/2) + 1)/(a**2*c*e + c**3*e) + B*c**2*log(tanh(d/2 + e*x/2) - c/a - sqrt(a**2 + c**2)/a)/(a**2*c*e + c**3*e) + B*c**2*log(tanh(d/2 + e*x/2) - c/a + sqrt(a**2 + c**2)/a)/(a**2*c*e + c**3*e) + C*a**2*e*x/(a**2*c*e + c**3*e) + C*a*sqrt(a**2 + c**2)*log(tanh(d/2 + e*x/2) - c/a - sqrt(a**2 + c**2)/a)/(a**2*c*e + c**3*e) - C*a*sqrt(a**2 + c**2)*log(tanh(d/2 + e*x/2) - c/a + sqrt(a**2 + c**2)/a)/(a**2*c*e + c**3*e) + C*c**2*e*x/(a**2*c*e + c**3*e), True))","A",0
254,-1,0,0,0.000000," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
255,-1,0,0,0.000000," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
256,-1,0,0,0.000000," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+c*sinh(e*x+d))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
257,0,0,0,0.000000," ","integrate(x**3/(a+b*sinh(x)**2),x)","\int \frac{x^{3}}{a + b \sinh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(x**3/(a + b*sinh(x)**2), x)","F",0
258,0,0,0,0.000000," ","integrate(x**2/(a+b*sinh(x)**2),x)","\int \frac{x^{2}}{a + b \sinh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(x**2/(a + b*sinh(x)**2), x)","F",0
259,0,0,0,0.000000," ","integrate(x/(a+b*sinh(x)**2),x)","\int \frac{x}{a + b \sinh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(x/(a + b*sinh(x)**2), x)","F",0
260,0,0,0,0.000000," ","integrate(cosh(b*x+a)*(-2+sinh(b*x+a)**2)/x,x)","\int \frac{\left(\sinh^{2}{\left(a + b x \right)} - 2\right) \cosh{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral((sinh(a + b*x)**2 - 2)*cosh(a + b*x)/x, x)","F",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)","- \int \frac{\sinh^{3}{\left(\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}} \right)}}{a^{2} x^{2} - 1}\, dx"," ",0,"-Integral(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)","- \int \frac{\sinh^{2}{\left(\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}} \right)}}{a^{2} x^{2} - 1}\, dx"," ",0,"-Integral(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)","- \int \frac{\sinh{\left(\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}} \right)}}{a^{2} x^{2} - 1}\, dx"," ",0,"-Integral(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)","- \int \frac{1}{a^{2} x^{2} \sinh{\left(\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}} \right)} - \sinh{\left(\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}} \right)}}\, dx"," ",0,"-Integral(1/(a**2*x**2*sinh(sqrt(-a*x + 1)/sqrt(a*x + 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)","- \int \frac{1}{a^{2} x^{2} \sinh^{2}{\left(\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}} \right)} - \sinh^{2}{\left(\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}} \right)}}\, dx"," ",0,"-Integral(1/(a**2*x**2*sinh(sqrt(-a*x + 1)/sqrt(a*x + 1))**2 - sinh(sqrt(-a*x + 1)/sqrt(a*x + 1))**2), x)","F",0
266,0,0,0,0.000000," ","integrate(sinh(a+b*ln(c*x**n)),x)","\begin{cases} \int \sinh{\left(a - \frac{\log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{1}{n} \\\int \sinh{\left(a + \frac{\log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{1}{n} \\\frac{b n x \cosh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} - 1} - \frac{x \sinh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} - 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(sinh(a - log(c*x**n)/n), x), Eq(b, -1/n)), (Integral(sinh(a + log(c*x**n)/n), x), Eq(b, 1/n)), (b*n*x*cosh(a + b*n*log(x) + b*log(c))/(b**2*n**2 - 1) - x*sinh(a + b*n*log(x) + b*log(c))/(b**2*n**2 - 1), True))","F",0
267,0,0,0,0.000000," ","integrate(sinh(a+b*ln(c*x**n))**2,x)","\begin{cases} \int \sinh^{2}{\left(a - \frac{\log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = - \frac{1}{2 n} \\\int \sinh^{2}{\left(a + \frac{\log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = \frac{1}{2 n} \\\frac{2 b^{2} n^{2} x \sinh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} - 1} - \frac{2 b^{2} n^{2} x \cosh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} - 1} + \frac{2 b n x \sinh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cosh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} - 1} - \frac{x \sinh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} - 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(sinh(a - log(c*x**n)/(2*n))**2, x), Eq(b, -1/(2*n))), (Integral(sinh(a + log(c*x**n)/(2*n))**2, x), Eq(b, 1/(2*n))), (2*b**2*n**2*x*sinh(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 - 1) - 2*b**2*n**2*x*cosh(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 - 1) + 2*b*n*x*sinh(a + b*n*log(x) + b*log(c))*cosh(a + b*n*log(x) + b*log(c))/(4*b**2*n**2 - 1) - x*sinh(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 - 1), True))","F",0
268,0,0,0,0.000000," ","integrate(sinh(a+b*ln(c*x**n))**3,x)","\begin{cases} \int \sinh^{3}{\left(a - \frac{\log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{1}{n} \\\int \sinh^{3}{\left(a - \frac{\log{\left(c x^{n} \right)}}{3 n} \right)}\, dx & \text{for}\: b = - \frac{1}{3 n} \\\int \sinh^{3}{\left(a + \frac{\log{\left(c x^{n} \right)}}{3 n} \right)}\, dx & \text{for}\: b = \frac{1}{3 n} \\\int \sinh^{3}{\left(a + \frac{\log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{1}{n} \\\frac{9 b^{3} n^{3} x \sinh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cosh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} - 10 b^{2} n^{2} + 1} - \frac{6 b^{3} n^{3} x \cosh^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} - 10 b^{2} n^{2} + 1} - \frac{7 b^{2} n^{2} x \sinh^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} - 10 b^{2} n^{2} + 1} + \frac{6 b^{2} n^{2} x \sinh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cosh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} - 10 b^{2} n^{2} + 1} - \frac{3 b n x \sinh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cosh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} - 10 b^{2} n^{2} + 1} + \frac{x \sinh^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} - 10 b^{2} n^{2} + 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(sinh(a - log(c*x**n)/n)**3, x), Eq(b, -1/n)), (Integral(sinh(a - log(c*x**n)/(3*n))**3, x), Eq(b, -1/(3*n))), (Integral(sinh(a + log(c*x**n)/(3*n))**3, x), Eq(b, 1/(3*n))), (Integral(sinh(a + log(c*x**n)/n)**3, x), Eq(b, 1/n)), (9*b**3*n**3*x*sinh(a + b*n*log(x) + b*log(c))**2*cosh(a + b*n*log(x) + b*log(c))/(9*b**4*n**4 - 10*b**2*n**2 + 1) - 6*b**3*n**3*x*cosh(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4 - 10*b**2*n**2 + 1) - 7*b**2*n**2*x*sinh(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4 - 10*b**2*n**2 + 1) + 6*b**2*n**2*x*sinh(a + b*n*log(x) + b*log(c))*cosh(a + b*n*log(x) + b*log(c))**2/(9*b**4*n**4 - 10*b**2*n**2 + 1) - 3*b*n*x*sinh(a + b*n*log(x) + b*log(c))**2*cosh(a + b*n*log(x) + b*log(c))/(9*b**4*n**4 - 10*b**2*n**2 + 1) + x*sinh(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4 - 10*b**2*n**2 + 1), True))","F",0
269,0,0,0,0.000000," ","integrate(sinh(a+b*ln(c*x**n))**4,x)","\begin{cases} \int \sinh^{4}{\left(a - \frac{\log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = - \frac{1}{2 n} \\\int \sinh^{4}{\left(a - \frac{\log{\left(c x^{n} \right)}}{4 n} \right)}\, dx & \text{for}\: b = - \frac{1}{4 n} \\\int \sinh^{4}{\left(a + \frac{\log{\left(c x^{n} \right)}}{4 n} \right)}\, dx & \text{for}\: b = \frac{1}{4 n} \\\int \sinh^{4}{\left(a + \frac{\log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = \frac{1}{2 n} \\\frac{24 b^{4} n^{4} x \sinh^{4}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} - 20 b^{2} n^{2} + 1} - \frac{48 b^{4} n^{4} x \sinh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cosh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} - 20 b^{2} n^{2} + 1} + \frac{24 b^{4} n^{4} x \cosh^{4}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} - 20 b^{2} n^{2} + 1} + \frac{40 b^{3} n^{3} x \sinh^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cosh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} - 20 b^{2} n^{2} + 1} - \frac{24 b^{3} n^{3} x \sinh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cosh^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} - 20 b^{2} n^{2} + 1} - \frac{16 b^{2} n^{2} x \sinh^{4}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} - 20 b^{2} n^{2} + 1} + \frac{12 b^{2} n^{2} x \sinh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cosh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} - 20 b^{2} n^{2} + 1} - \frac{4 b n x \sinh^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cosh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} - 20 b^{2} n^{2} + 1} + \frac{x \sinh^{4}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} - 20 b^{2} n^{2} + 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(sinh(a - log(c*x**n)/(2*n))**4, x), Eq(b, -1/(2*n))), (Integral(sinh(a - log(c*x**n)/(4*n))**4, x), Eq(b, -1/(4*n))), (Integral(sinh(a + log(c*x**n)/(4*n))**4, x), Eq(b, 1/(4*n))), (Integral(sinh(a + log(c*x**n)/(2*n))**4, x), Eq(b, 1/(2*n))), (24*b**4*n**4*x*sinh(a + b*n*log(x) + b*log(c))**4/(64*b**4*n**4 - 20*b**2*n**2 + 1) - 48*b**4*n**4*x*sinh(a + b*n*log(x) + b*log(c))**2*cosh(a + b*n*log(x) + b*log(c))**2/(64*b**4*n**4 - 20*b**2*n**2 + 1) + 24*b**4*n**4*x*cosh(a + b*n*log(x) + b*log(c))**4/(64*b**4*n**4 - 20*b**2*n**2 + 1) + 40*b**3*n**3*x*sinh(a + b*n*log(x) + b*log(c))**3*cosh(a + b*n*log(x) + b*log(c))/(64*b**4*n**4 - 20*b**2*n**2 + 1) - 24*b**3*n**3*x*sinh(a + b*n*log(x) + b*log(c))*cosh(a + b*n*log(x) + b*log(c))**3/(64*b**4*n**4 - 20*b**2*n**2 + 1) - 16*b**2*n**2*x*sinh(a + b*n*log(x) + b*log(c))**4/(64*b**4*n**4 - 20*b**2*n**2 + 1) + 12*b**2*n**2*x*sinh(a + b*n*log(x) + b*log(c))**2*cosh(a + b*n*log(x) + b*log(c))**2/(64*b**4*n**4 - 20*b**2*n**2 + 1) - 4*b*n*x*sinh(a + b*n*log(x) + b*log(c))**3*cosh(a + b*n*log(x) + b*log(c))/(64*b**4*n**4 - 20*b**2*n**2 + 1) + x*sinh(a + b*n*log(x) + b*log(c))**4/(64*b**4*n**4 - 20*b**2*n**2 + 1), True))","F",0
270,0,0,0,0.000000," ","integrate(x**m*sinh(a+b*ln(c*x**n)),x)","\begin{cases} \log{\left(x \right)} \sinh{\left(a \right)} & \text{for}\: b = 0 \wedge m = -1 \\\int x^{m} \sinh{\left(a - \frac{m \log{\left(c x^{n} \right)}}{n} - \frac{\log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{m + 1}{n} \\\int x^{m} \sinh{\left(a + \frac{m \log{\left(c x^{n} \right)}}{n} + \frac{\log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{m + 1}{n} \\\frac{b n x x^{m} \cosh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} - m^{2} - 2 m - 1} - \frac{m x x^{m} \sinh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} - m^{2} - 2 m - 1} - \frac{x x^{m} \sinh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} - m^{2} - 2 m - 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*sinh(a), Eq(b, 0) & Eq(m, -1)), (Integral(x**m*sinh(a - m*log(c*x**n)/n - log(c*x**n)/n), x), Eq(b, -(m + 1)/n)), (Integral(x**m*sinh(a + m*log(c*x**n)/n + log(c*x**n)/n), x), Eq(b, (m + 1)/n)), (b*n*x*x**m*cosh(a + b*n*log(x) + b*log(c))/(b**2*n**2 - m**2 - 2*m - 1) - m*x*x**m*sinh(a + b*n*log(x) + b*log(c))/(b**2*n**2 - m**2 - 2*m - 1) - x*x**m*sinh(a + b*n*log(x) + b*log(c))/(b**2*n**2 - m**2 - 2*m - 1), True))","F",0
271,0,0,0,0.000000," ","integrate(x**m*sinh(a+b*ln(c*x**n))**2,x)","\begin{cases} \log{\left(x \right)} \sinh^{2}{\left(a \right)} & \text{for}\: b = 0 \wedge m = -1 \\\int x^{m} \sinh^{2}{\left(a - \frac{m \log{\left(c x^{n} \right)}}{2 n} - \frac{\log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = - \frac{m + 1}{2 n} \\\int x^{m} \sinh^{2}{\left(a + \frac{m \log{\left(c x^{n} \right)}}{2 n} + \frac{\log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = \frac{m + 1}{2 n} \\\int \frac{\sinh^{2}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx & \text{for}\: m = -1 \\\frac{2 b^{2} n^{2} x x^{m} \sinh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} m n^{2} + 4 b^{2} n^{2} - m^{3} - 3 m^{2} - 3 m - 1} - \frac{2 b^{2} n^{2} x x^{m} \cosh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} m n^{2} + 4 b^{2} n^{2} - m^{3} - 3 m^{2} - 3 m - 1} + \frac{2 b m n x x^{m} \sinh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cosh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} m n^{2} + 4 b^{2} n^{2} - m^{3} - 3 m^{2} - 3 m - 1} + \frac{2 b n x x^{m} \sinh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cosh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{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} \sinh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} m n^{2} + 4 b^{2} n^{2} - m^{3} - 3 m^{2} - 3 m - 1} - \frac{2 m x x^{m} \sinh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} m n^{2} + 4 b^{2} n^{2} - m^{3} - 3 m^{2} - 3 m - 1} - \frac{x x^{m} \sinh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} m n^{2} + 4 b^{2} n^{2} - m^{3} - 3 m^{2} - 3 m - 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*sinh(a)**2, Eq(b, 0) & Eq(m, -1)), (Integral(x**m*sinh(a - m*log(c*x**n)/(2*n) - log(c*x**n)/(2*n))**2, x), Eq(b, -(m + 1)/(2*n))), (Integral(x**m*sinh(a + m*log(c*x**n)/(2*n) + log(c*x**n)/(2*n))**2, x), Eq(b, (m + 1)/(2*n))), (Integral(sinh(a + b*log(c*x**n))**2/x, x), Eq(m, -1)), (2*b**2*n**2*x*x**m*sinh(a + b*n*log(x) + b*log(c))**2/(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*cosh(a + b*n*log(x) + b*log(c))**2/(4*b**2*m*n**2 + 4*b**2*n**2 - m**3 - 3*m**2 - 3*m - 1) + 2*b*m*n*x*x**m*sinh(a + b*n*log(x) + b*log(c))*cosh(a + b*n*log(x) + b*log(c))/(4*b**2*m*n**2 + 4*b**2*n**2 - m**3 - 3*m**2 - 3*m - 1) + 2*b*n*x*x**m*sinh(a + b*n*log(x) + b*log(c))*cosh(a + b*n*log(x) + b*log(c))/(4*b**2*m*n**2 + 4*b**2*n**2 - m**3 - 3*m**2 - 3*m - 1) - m**2*x*x**m*sinh(a + b*n*log(x) + b*log(c))**2/(4*b**2*m*n**2 + 4*b**2*n**2 - m**3 - 3*m**2 - 3*m - 1) - 2*m*x*x**m*sinh(a + b*n*log(x) + b*log(c))**2/(4*b**2*m*n**2 + 4*b**2*n**2 - m**3 - 3*m**2 - 3*m - 1) - x*x**m*sinh(a + b*n*log(x) + b*log(c))**2/(4*b**2*m*n**2 + 4*b**2*n**2 - m**3 - 3*m**2 - 3*m - 1), True))","F",0
272,-1,0,0,0.000000," ","integrate(x**m*sinh(a+b*ln(c*x**n))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
273,-1,0,0,0.000000," ","integrate(x**m*sinh(a+b*ln(c*x**n))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
274,1,37,0,0.990891," ","integrate(sinh(a+b*ln(c*x**n))/x,x)","\begin{cases} \log{\left(x \right)} \sinh{\left(a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \sinh{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\frac{\cosh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*sinh(a), Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*sinh(a + b*log(c)), Eq(n, 0)), (cosh(a + b*n*log(x) + b*log(c))/(b*n), True))","A",0
275,0,0,0,0.000000," ","integrate(sinh(a+b*ln(c*x**n))**2/x,x)","\int \frac{\sinh^{2}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*log(c*x**n))**2/x, x)","F",0
276,1,82,0,10.438034," ","integrate(sinh(a+b*ln(c*x**n))**3/x,x)","\begin{cases} \log{\left(x \right)} \sinh^{3}{\left(a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \sinh^{3}{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\frac{\sinh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cosh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b n} - \frac{2 \cosh^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{3 b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*sinh(a)**3, Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*sinh(a + b*log(c))**3, Eq(n, 0)), (sinh(a + b*n*log(x) + b*log(c))**2*cosh(a + b*n*log(x) + b*log(c))/(b*n) - 2*cosh(a + b*n*log(x) + b*log(c))**3/(3*b*n), True))","A",0
277,0,0,0,0.000000," ","integrate(sinh(a+b*ln(c*x**n))**4/x,x)","\int \frac{\sinh^{4}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*log(c*x**n))**4/x, x)","F",0
278,1,122,0,94.651058," ","integrate(sinh(a+b*ln(c*x**n))**5/x,x)","\begin{cases} \log{\left(x \right)} \sinh^{5}{\left(a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \sinh^{5}{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\frac{\sinh^{4}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cosh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b n} - \frac{4 \sinh^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cosh^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{3 b n} + \frac{8 \cosh^{5}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{15 b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*sinh(a)**5, Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*sinh(a + b*log(c))**5, Eq(n, 0)), (sinh(a + b*n*log(x) + b*log(c))**4*cosh(a + b*n*log(x) + b*log(c))/(b*n) - 4*sinh(a + b*n*log(x) + b*log(c))**2*cosh(a + b*n*log(x) + b*log(c))**3/(3*b*n) + 8*cosh(a + b*n*log(x) + b*log(c))**5/(15*b*n), True))","A",0
279,-1,0,0,0.000000," ","integrate(sinh(a+b*ln(c*x**n))**(5/2)/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
280,0,0,0,0.000000," ","integrate(sinh(a+b*ln(c*x**n))**(3/2)/x,x)","\int \frac{\sinh^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(sinh(a + b*log(c*x**n))**(3/2)/x, x)","F",0
281,0,0,0,0.000000," ","integrate(sinh(a+b*ln(c*x**n))**(1/2)/x,x)","\int \frac{\sqrt{\sinh{\left(a + b \log{\left(c x^{n} \right)} \right)}}}{x}\, dx"," ",0,"Integral(sqrt(sinh(a + b*log(c*x**n)))/x, x)","F",0
282,0,0,0,0.000000," ","integrate(1/x/sinh(a+b*ln(c*x**n))**(1/2),x)","\int \frac{1}{x \sqrt{\sinh{\left(a + b \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral(1/(x*sqrt(sinh(a + b*log(c*x**n)))), x)","F",0
283,0,0,0,0.000000," ","integrate(1/x/sinh(a+b*ln(c*x**n))**(3/2),x)","\int \frac{1}{x \sinh^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(1/(x*sinh(a + b*log(c*x**n))**(3/2)), x)","F",0
284,-1,0,0,0.000000," ","integrate(1/x/sinh(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
285,-1,0,0,0.000000," ","integrate(sinh(a+2*ln(c*x**n)/n)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
286,0,0,0,0.000000," ","integrate(sinh(a+2*ln(c*x**n)/n)**(1/2),x)","\int \sqrt{\sinh{\left(a + \frac{2 \log{\left(c x^{n} \right)}}{n} \right)}}\, dx"," ",0,"Integral(sqrt(sinh(a + 2*log(c*x**n)/n)), x)","F",0
287,0,0,0,0.000000," ","integrate(1/sinh(a+2*ln(c*x**n)/n)**(3/2),x)","\int \frac{1}{\sinh^{\frac{3}{2}}{\left(a + \frac{2 \log{\left(c x^{n} \right)}}{n} \right)}}\, dx"," ",0,"Integral(sinh(a + 2*log(c*x**n)/n)**(-3/2), x)","F",0
288,-1,0,0,0.000000," ","integrate(1/sinh(a+2*ln(c*x**n)/n)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
289,0,0,0,0.000000," ","integrate(sinh(a/(d*x+c)),x)","\int \sinh{\left(\frac{a}{c + d x} \right)}\, dx"," ",0,"Integral(sinh(a/(c + d*x)), x)","F",0
290,-1,0,0,0.000000," ","integrate(sinh(a/(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
291,-1,0,0,0.000000," ","integrate(sinh(a/(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
292,0,0,0,0.000000," ","integrate(sinh(b*x/(d*x+c)),x)","\int \sinh{\left(\frac{b x}{c + d x} \right)}\, dx"," ",0,"Integral(sinh(b*x/(c + d*x)), x)","F",0
293,-1,0,0,0.000000," ","integrate(sinh(b*x/(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
294,-1,0,0,0.000000," ","integrate(sinh(b*x/(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
295,0,0,0,0.000000," ","integrate(sinh((b*x+a)/(d*x+c)),x)","\int \sinh{\left(\frac{a + b x}{c + d x} \right)}\, dx"," ",0,"Integral(sinh((a + b*x)/(c + d*x)), x)","F",0
296,-1,0,0,0.000000," ","integrate(sinh((b*x+a)/(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
297,-1,0,0,0.000000," ","integrate(sinh((b*x+a)/(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
298,0,0,0,0.000000," ","integrate(sinh(e+f*(b*x+a)/(d*x+c)),x)","\int \sinh{\left(e + \frac{f \left(a + b x\right)}{c + d x} \right)}\, dx"," ",0,"Integral(sinh(e + f*(a + b*x)/(c + d*x)), x)","F",0
299,-1,0,0,0.000000," ","integrate(sinh(e+f*(b*x+a)/(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
300,-1,0,0,0.000000," ","integrate(sinh(e+f*(b*x+a)/(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
301,1,139,0,59.122545," ","integrate(exp(b*x+a)*sinh(b*x+a)**4,x)","\begin{cases} \frac{e^{a} e^{b x} \sinh^{4}{\left(a + b x \right)}}{5 b} + \frac{4 e^{a} e^{b x} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{5 b} - \frac{4 e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{5 b} - \frac{8 e^{a} e^{b x} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{15 b} + \frac{8 e^{a} e^{b x} \cosh^{4}{\left(a + b x \right)}}{15 b} & \text{for}\: b \neq 0 \\x e^{a} \sinh^{4}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((exp(a)*exp(b*x)*sinh(a + b*x)**4/(5*b) + 4*exp(a)*exp(b*x)*sinh(a + b*x)**3*cosh(a + b*x)/(5*b) - 4*exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)**2/(5*b) - 8*exp(a)*exp(b*x)*sinh(a + b*x)*cosh(a + b*x)**3/(15*b) + 8*exp(a)*exp(b*x)*cosh(a + b*x)**4/(15*b), Ne(b, 0)), (x*exp(a)*sinh(a)**4, True))","A",0
302,1,182,0,17.823797," ","integrate(exp(b*x+a)*sinh(b*x+a)**3,x)","\begin{cases} \frac{3 x e^{a} e^{b x} \sinh^{3}{\left(a + b x \right)}}{8} - \frac{3 x e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8} - \frac{3 x e^{a} e^{b x} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{8} + \frac{3 x e^{a} e^{b x} \cosh^{3}{\left(a + b x \right)}}{8} - \frac{e^{a} e^{b x} \sinh^{3}{\left(a + b x \right)}}{8 b} + \frac{3 e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4 b} - \frac{3 e^{a} e^{b x} \cosh^{3}{\left(a + b x \right)}}{8 b} & \text{for}\: b \neq 0 \\x e^{a} \sinh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*x*exp(a)*exp(b*x)*sinh(a + b*x)**3/8 - 3*x*exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)/8 - 3*x*exp(a)*exp(b*x)*sinh(a + b*x)*cosh(a + b*x)**2/8 + 3*x*exp(a)*exp(b*x)*cosh(a + b*x)**3/8 - exp(a)*exp(b*x)*sinh(a + b*x)**3/(8*b) + 3*exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)/(4*b) - 3*exp(a)*exp(b*x)*cosh(a + b*x)**3/(8*b), Ne(b, 0)), (x*exp(a)*sinh(a)**3, True))","A",0
303,1,78,0,5.154027," ","integrate(exp(b*x+a)*sinh(b*x+a)**2,x)","\begin{cases} \frac{e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)}}{3 b} + \frac{2 e^{a} e^{b x} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{3 b} - \frac{2 e^{a} e^{b x} \cosh^{2}{\left(a + b x \right)}}{3 b} & \text{for}\: b \neq 0 \\x e^{a} \sinh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((exp(a)*exp(b*x)*sinh(a + b*x)**2/(3*b) + 2*exp(a)*exp(b*x)*sinh(a + b*x)*cosh(a + b*x)/(3*b) - 2*exp(a)*exp(b*x)*cosh(a + b*x)**2/(3*b), Ne(b, 0)), (x*exp(a)*sinh(a)**2, True))","A",0
304,1,80,0,1.072305," ","integrate(exp(b*x+a)*sinh(b*x+a),x)","\begin{cases} \frac{x e^{a} e^{b x} \sinh{\left(a + b x \right)}}{2} - \frac{x e^{a} e^{b x} \cosh{\left(a + b x \right)}}{2} - \frac{e^{a} e^{b x} \sinh{\left(a + b x \right)}}{2 b} + \frac{e^{a} e^{b x} \cosh{\left(a + b x \right)}}{b} & \text{for}\: b \neq 0 \\x e^{a} \sinh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(a)*exp(b*x)*sinh(a + b*x)/2 - x*exp(a)*exp(b*x)*cosh(a + b*x)/2 - exp(a)*exp(b*x)*sinh(a + b*x)/(2*b) + exp(a)*exp(b*x)*cosh(a + b*x)/b, Ne(b, 0)), (x*exp(a)*sinh(a), True))","A",0
305,0,0,0,0.000000," ","integrate(exp(b*x+a)*csch(b*x+a),x)","e^{a} \int e^{b x} \operatorname{csch}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*csch(a + b*x), x)","F",0
306,0,0,0,0.000000," ","integrate(exp(b*x+a)*csch(b*x+a)**2,x)","e^{a} \int e^{b x} \operatorname{csch}^{2}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*csch(a + b*x)**2, x)","F",0
307,0,0,0,0.000000," ","integrate(exp(b*x+a)*csch(b*x+a)**3,x)","e^{a} \int e^{b x} \operatorname{csch}^{3}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*csch(a + b*x)**3, x)","F",0
308,0,0,0,0.000000," ","integrate(exp(b*x+a)*csch(b*x+a)**4,x)","e^{a} \int e^{b x} \operatorname{csch}^{4}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*csch(a + b*x)**4, x)","F",0
309,0,0,0,0.000000," ","integrate(exp(b*x+a)*csch(b*x+a)**5,x)","e^{a} \int e^{b x} \operatorname{csch}^{5}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*csch(a + b*x)**5, x)","F",0
310,1,42,0,0.664580," ","integrate(exp(x)*sinh(2*x)**2,x)","\frac{7 e^{x} \sinh^{2}{\left(2 x \right)}}{15} + \frac{4 e^{x} \sinh{\left(2 x \right)} \cosh{\left(2 x \right)}}{15} - \frac{8 e^{x} \cosh^{2}{\left(2 x \right)}}{15}"," ",0,"7*exp(x)*sinh(2*x)**2/15 + 4*exp(x)*sinh(2*x)*cosh(2*x)/15 - 8*exp(x)*cosh(2*x)**2/15","B",0
311,1,20,0,0.265057," ","integrate(exp(x)*sinh(2*x),x)","- \frac{e^{x} \sinh{\left(2 x \right)}}{3} + \frac{2 e^{x} \cosh{\left(2 x \right)}}{3}"," ",0,"-exp(x)*sinh(2*x)/3 + 2*exp(x)*cosh(2*x)/3","A",0
312,0,0,0,0.000000," ","integrate(exp(x)*csch(2*x),x)","\int e^{x} \operatorname{csch}{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*csch(2*x), x)","F",0
313,0,0,0,0.000000," ","integrate(exp(x)*csch(2*x)**2,x)","\int e^{x} \operatorname{csch}^{2}{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*csch(2*x)**2, x)","F",0
314,1,42,0,0.661510," ","integrate(exp(x)*sinh(3*x)**2,x)","\frac{17 e^{x} \sinh^{2}{\left(3 x \right)}}{35} + \frac{6 e^{x} \sinh{\left(3 x \right)} \cosh{\left(3 x \right)}}{35} - \frac{18 e^{x} \cosh^{2}{\left(3 x \right)}}{35}"," ",0,"17*exp(x)*sinh(3*x)**2/35 + 6*exp(x)*sinh(3*x)*cosh(3*x)/35 - 18*exp(x)*cosh(3*x)**2/35","B",0
315,1,20,0,0.259989," ","integrate(exp(x)*sinh(3*x),x)","- \frac{e^{x} \sinh{\left(3 x \right)}}{8} + \frac{3 e^{x} \cosh{\left(3 x \right)}}{8}"," ",0,"-exp(x)*sinh(3*x)/8 + 3*exp(x)*cosh(3*x)/8","A",0
316,0,0,0,0.000000," ","integrate(exp(x)*csch(3*x),x)","\int e^{x} \operatorname{csch}{\left(3 x \right)}\, dx"," ",0,"Integral(exp(x)*csch(3*x), x)","F",0
317,0,0,0,0.000000," ","integrate(exp(x)*csch(3*x)**2,x)","\int e^{x} \operatorname{csch}^{2}{\left(3 x \right)}\, dx"," ",0,"Integral(exp(x)*csch(3*x)**2, x)","F",0
318,1,42,0,0.654454," ","integrate(exp(x)*sinh(4*x)**2,x)","\frac{31 e^{x} \sinh^{2}{\left(4 x \right)}}{63} + \frac{8 e^{x} \sinh{\left(4 x \right)} \cosh{\left(4 x \right)}}{63} - \frac{32 e^{x} \cosh^{2}{\left(4 x \right)}}{63}"," ",0,"31*exp(x)*sinh(4*x)**2/63 + 8*exp(x)*sinh(4*x)*cosh(4*x)/63 - 32*exp(x)*cosh(4*x)**2/63","B",0
319,1,20,0,0.261807," ","integrate(exp(x)*sinh(4*x),x)","- \frac{e^{x} \sinh{\left(4 x \right)}}{15} + \frac{4 e^{x} \cosh{\left(4 x \right)}}{15}"," ",0,"-exp(x)*sinh(4*x)/15 + 4*exp(x)*cosh(4*x)/15","A",0
320,0,0,0,0.000000," ","integrate(exp(x)*csch(4*x),x)","\int e^{x} \operatorname{csch}{\left(4 x \right)}\, dx"," ",0,"Integral(exp(x)*csch(4*x), x)","F",0
321,0,0,0,0.000000," ","integrate(exp(x)*csch(4*x)**2,x)","\int e^{x} \operatorname{csch}^{2}{\left(4 x \right)}\, dx"," ",0,"Integral(exp(x)*csch(4*x)**2, x)","F",0
322,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))*sinh(e*x+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
323,1,604,0,34.103859," ","integrate(F**(c*(b*x+a))*sinh(e*x+d)**2,x)","\begin{cases} \frac{x \sinh^{2}{\left(d + e x \right)}}{2} - \frac{x \cosh^{2}{\left(d + e x \right)}}{2} + \frac{\sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)}}{2 e} & \text{for}\: F = 1 \\\tilde{\infty} e^{2} \left(e^{- \frac{2 e}{b c}}\right)^{a c} \left(e^{- \frac{2 e}{b c}}\right)^{b c x} \sinh^{2}{\left(d + e x \right)} + \tilde{\infty} e^{2} \left(e^{- \frac{2 e}{b c}}\right)^{a c} \left(e^{- \frac{2 e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)} + \tilde{\infty} e^{2} \left(e^{- \frac{2 e}{b c}}\right)^{a c} \left(e^{- \frac{2 e}{b c}}\right)^{b c x} \cosh^{2}{\left(d + e x \right)} & \text{for}\: F = e^{- \frac{2 e}{b c}} \\\tilde{\infty} e^{2} \left(e^{\frac{2 e}{b c}}\right)^{a c} \left(e^{\frac{2 e}{b c}}\right)^{b c x} \sinh^{2}{\left(d + e x \right)} + \tilde{\infty} e^{2} \left(e^{\frac{2 e}{b c}}\right)^{a c} \left(e^{\frac{2 e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)} + \tilde{\infty} e^{2} \left(e^{\frac{2 e}{b c}}\right)^{a c} \left(e^{\frac{2 e}{b c}}\right)^{b c x} \cosh^{2}{\left(d + e x \right)} & \text{for}\: F = e^{\frac{2 e}{b c}} \\F^{a c} \left(\frac{x \sinh^{2}{\left(d + e x \right)}}{2} - \frac{x \cosh^{2}{\left(d + e x \right)}}{2} + \frac{\sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)}}{2 e}\right) & \text{for}\: b = 0 \\\frac{x \sinh^{2}{\left(d + e x \right)}}{2} - \frac{x \cosh^{2}{\left(d + e x \right)}}{2} + \frac{\sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)}}{2 e} & \text{for}\: c = 0 \\\frac{F^{a c} F^{b c x} b^{2} c^{2} \log{\left(F \right)}^{2} \sinh^{2}{\left(d + e x \right)}}{b^{3} c^{3} \log{\left(F \right)}^{3} - 4 b c e^{2} \log{\left(F \right)}} - \frac{2 F^{a c} F^{b c x} b c e \log{\left(F \right)} \sinh{\left(d + e x \right)} \cosh{\left(d + e x \right)}}{b^{3} c^{3} \log{\left(F \right)}^{3} - 4 b c e^{2} \log{\left(F \right)}} - \frac{2 F^{a c} F^{b c x} e^{2} \sinh^{2}{\left(d + e x \right)}}{b^{3} c^{3} \log{\left(F \right)}^{3} - 4 b c e^{2} \log{\left(F \right)}} + \frac{2 F^{a c} F^{b c x} e^{2} \cosh^{2}{\left(d + e x \right)}}{b^{3} c^{3} \log{\left(F \right)}^{3} - 4 b c e^{2} \log{\left(F \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(d + e*x)**2/2 - x*cosh(d + e*x)**2/2 + sinh(d + e*x)*cosh(d + e*x)/(2*e), Eq(F, 1)), (zoo*e**2*exp(-2*e/(b*c))**(a*c)*exp(-2*e/(b*c))**(b*c*x)*sinh(d + e*x)**2 + zoo*e**2*exp(-2*e/(b*c))**(a*c)*exp(-2*e/(b*c))**(b*c*x)*sinh(d + e*x)*cosh(d + e*x) + zoo*e**2*exp(-2*e/(b*c))**(a*c)*exp(-2*e/(b*c))**(b*c*x)*cosh(d + e*x)**2, Eq(F, exp(-2*e/(b*c)))), (zoo*e**2*exp(2*e/(b*c))**(a*c)*exp(2*e/(b*c))**(b*c*x)*sinh(d + e*x)**2 + zoo*e**2*exp(2*e/(b*c))**(a*c)*exp(2*e/(b*c))**(b*c*x)*sinh(d + e*x)*cosh(d + e*x) + zoo*e**2*exp(2*e/(b*c))**(a*c)*exp(2*e/(b*c))**(b*c*x)*cosh(d + e*x)**2, Eq(F, exp(2*e/(b*c)))), (F**(a*c)*(x*sinh(d + e*x)**2/2 - x*cosh(d + e*x)**2/2 + sinh(d + e*x)*cosh(d + e*x)/(2*e)), Eq(b, 0)), (x*sinh(d + e*x)**2/2 - x*cosh(d + e*x)**2/2 + sinh(d + e*x)*cosh(d + e*x)/(2*e), Eq(c, 0)), (F**(a*c)*F**(b*c*x)*b**2*c**2*log(F)**2*sinh(d + e*x)**2/(b**3*c**3*log(F)**3 - 4*b*c*e**2*log(F)) - 2*F**(a*c)*F**(b*c*x)*b*c*e*log(F)*sinh(d + e*x)*cosh(d + e*x)/(b**3*c**3*log(F)**3 - 4*b*c*e**2*log(F)) - 2*F**(a*c)*F**(b*c*x)*e**2*sinh(d + e*x)**2/(b**3*c**3*log(F)**3 - 4*b*c*e**2*log(F)) + 2*F**(a*c)*F**(b*c*x)*e**2*cosh(d + e*x)**2/(b**3*c**3*log(F)**3 - 4*b*c*e**2*log(F)), True))","A",0
324,1,342,0,7.846278," ","integrate(F**(c*(b*x+a))*sinh(e*x+d),x)","\begin{cases} \frac{\left(-1\right)^{a c} \left(-1\right)^{- \frac{i e x}{\pi}} x \sinh{\left(d + e x \right)}}{2} - \frac{\left(-1\right)^{a c} \left(-1\right)^{- \frac{i e x}{\pi}} x \cosh{\left(d + e x \right)}}{2} - \frac{\left(-1\right)^{a c} \left(-1\right)^{- \frac{i e x}{\pi}} \sinh{\left(d + e x \right)}}{2 e} + \frac{\left(-1\right)^{a c} \left(-1\right)^{- \frac{i e x}{\pi}} \cosh{\left(d + e x \right)}}{e} & \text{for}\: F = -1 \wedge b = - \frac{i e}{\pi c} \\x \sinh{\left(d \right)} & \text{for}\: F = 1 \wedge e = 0 \\\tilde{\infty} e \left(e^{- \frac{e}{b c}}\right)^{a c} \left(e^{- \frac{e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} + \tilde{\infty} e \left(e^{- \frac{e}{b c}}\right)^{a c} \left(e^{- \frac{e}{b c}}\right)^{b c x} \cosh{\left(d + e x \right)} & \text{for}\: F = e^{- \frac{e}{b c}} \\\tilde{\infty} e \left(e^{\frac{e}{b c}}\right)^{a c} \left(e^{\frac{e}{b c}}\right)^{b c x} \sinh{\left(d + e x \right)} + \tilde{\infty} e \left(e^{\frac{e}{b c}}\right)^{a c} \left(e^{\frac{e}{b c}}\right)^{b c x} \cosh{\left(d + e x \right)} & \text{for}\: F = e^{\frac{e}{b c}} \\\frac{F^{a c} F^{b c x} b c \log{\left(F \right)} \sinh{\left(d + e x \right)}}{b^{2} c^{2} \log{\left(F \right)}^{2} - e^{2}} - \frac{F^{a c} F^{b c x} e \cosh{\left(d + e x \right)}}{b^{2} c^{2} \log{\left(F \right)}^{2} - e^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-1)**(a*c)*(-1)**(-I*e*x/pi)*x*sinh(d + e*x)/2 - (-1)**(a*c)*(-1)**(-I*e*x/pi)*x*cosh(d + e*x)/2 - (-1)**(a*c)*(-1)**(-I*e*x/pi)*sinh(d + e*x)/(2*e) + (-1)**(a*c)*(-1)**(-I*e*x/pi)*cosh(d + e*x)/e, Eq(F, -1) & Eq(b, -I*e/(pi*c))), (x*sinh(d), Eq(F, 1) & Eq(e, 0)), (zoo*e*exp(-e/(b*c))**(a*c)*exp(-e/(b*c))**(b*c*x)*sinh(d + e*x) + zoo*e*exp(-e/(b*c))**(a*c)*exp(-e/(b*c))**(b*c*x)*cosh(d + e*x), Eq(F, exp(-e/(b*c)))), (zoo*e*exp(e/(b*c))**(a*c)*exp(e/(b*c))**(b*c*x)*sinh(d + e*x) + zoo*e*exp(e/(b*c))**(a*c)*exp(e/(b*c))**(b*c*x)*cosh(d + e*x), Eq(F, exp(e/(b*c)))), (F**(a*c)*F**(b*c*x)*b*c*log(F)*sinh(d + e*x)/(b**2*c**2*log(F)**2 - e**2) - F**(a*c)*F**(b*c*x)*e*cosh(d + e*x)/(b**2*c**2*log(F)**2 - e**2), True))","A",0
325,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*csch(e*x+d),x)","\int F^{c \left(a + b x\right)} \operatorname{csch}{\left(d + e x \right)}\, dx"," ",0,"Integral(F**(c*(a + b*x))*csch(d + e*x), x)","F",0
326,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*csch(e*x+d)**2,x)","\int F^{c \left(a + b x\right)} \operatorname{csch}^{2}{\left(d + e x \right)}\, dx"," ",0,"Integral(F**(c*(a + b*x))*csch(d + e*x)**2, x)","F",0
327,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*csch(e*x+d)**3,x)","\int F^{c \left(a + b x\right)} \operatorname{csch}^{3}{\left(d + e x \right)}\, dx"," ",0,"Integral(F**(c*(a + b*x))*csch(d + e*x)**3, x)","F",0
328,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*csch(e*x+d)**4,x)","\int F^{c \left(a + b x\right)} \operatorname{csch}^{4}{\left(d + e x \right)}\, dx"," ",0,"Integral(F**(c*(a + b*x))*csch(d + e*x)**4, x)","F",0
329,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*(sinh(b*c*x+a*c)**2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
330,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*(sinh(b*c*x+a*c)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
331,1,175,0,17.302053," ","integrate(exp(c*(b*x+a))*(sinh(b*c*x+a*c)**2)**(1/2),x)","\begin{cases} x \sqrt{\sinh^{2}{\left(a c \right)}} e^{a c} & \text{for}\: b = 0 \\0 & \text{for}\: a = \frac{\log{\left(- e^{- b c x} \right)}}{c} \vee a = \frac{\log{\left(e^{- b c x} \right)}}{c} \vee c = 0 \\\frac{x \sqrt{\sinh^{2}{\left(a c + b c x \right)}} e^{a c} e^{b c x}}{2} - \frac{x \sqrt{\sinh^{2}{\left(a c + b c x \right)}} e^{a c} e^{b c x} \cosh{\left(a c + b c x \right)}}{2 \sinh{\left(a c + b c x \right)}} + \frac{\sqrt{\sinh^{2}{\left(a c + b c x \right)}} e^{a c} e^{b c x} \cosh{\left(a c + b c x \right)}}{2 b c \sinh{\left(a c + b c x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sqrt(sinh(a*c)**2)*exp(a*c), Eq(b, 0)), (0, Eq(c, 0) | Eq(a, log(exp(-b*c*x))/c) | Eq(a, log(-exp(-b*c*x))/c)), (x*sqrt(sinh(a*c + b*c*x)**2)*exp(a*c)*exp(b*c*x)/2 - x*sqrt(sinh(a*c + b*c*x)**2)*exp(a*c)*exp(b*c*x)*cosh(a*c + b*c*x)/(2*sinh(a*c + b*c*x)) + sqrt(sinh(a*c + b*c*x)**2)*exp(a*c)*exp(b*c*x)*cosh(a*c + b*c*x)/(2*b*c*sinh(a*c + b*c*x)), True))","A",0
332,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)**2)**(1/2),x)","e^{a c} \int \frac{e^{b c x}}{\sqrt{\sinh^{2}{\left(a c + b c x \right)}}}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)/sqrt(sinh(a*c + b*c*x)**2), x)","F",0
333,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)**2)**(3/2),x)","e^{a c} \int \frac{e^{b c x}}{\left(\sinh^{2}{\left(a c + b c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)/(sinh(a*c + b*c*x)**2)**(3/2), x)","F",0
334,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)**2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
335,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))/(sinh(b*c*x+a*c)**2)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
336,1,99,0,0.757076," ","integrate(exp(x)*sinh(b*x+a),x)","\begin{cases} \frac{x e^{x} \sinh{\left(a - x \right)}}{2} + \frac{x e^{x} \cosh{\left(a - x \right)}}{2} + \frac{e^{x} \sinh{\left(a - x \right)}}{2} & \text{for}\: b = -1 \\\frac{x e^{x} \sinh{\left(a + x \right)}}{2} - \frac{x e^{x} \cosh{\left(a + x \right)}}{2} + \frac{e^{x} \sinh{\left(a + x \right)}}{2} & \text{for}\: b = 1 \\\frac{b e^{x} \cosh{\left(a + b x \right)}}{b^{2} - 1} - \frac{e^{x} \sinh{\left(a + b x \right)}}{b^{2} - 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(x)*sinh(a - x)/2 + x*exp(x)*cosh(a - x)/2 + exp(x)*sinh(a - x)/2, Eq(b, -1)), (x*exp(x)*sinh(a + x)/2 - x*exp(x)*cosh(a + x)/2 + exp(x)*sinh(a + x)/2, Eq(b, 1)), (b*exp(x)*cosh(a + b*x)/(b**2 - 1) - exp(x)*sinh(a + b*x)/(b**2 - 1), True))","A",0
337,0,0,0,0.000000," ","integrate(exp(x)*sinh(c*x**2+a),x)","\int e^{x} \sinh{\left(a + c x^{2} \right)}\, dx"," ",0,"Integral(exp(x)*sinh(a + c*x**2), x)","F",0
338,0,0,0,0.000000," ","integrate(exp(x)*sinh(c*x**2+b*x+a),x)","\int e^{x} \sinh{\left(a + b x + c x^{2} \right)}\, dx"," ",0,"Integral(exp(x)*sinh(a + b*x + c*x**2), x)","F",0
339,0,0,0,0.000000," ","integrate(exp(x**2)*sinh(b*x+a),x)","\int e^{x^{2}} \sinh{\left(a + b x \right)}\, dx"," ",0,"Integral(exp(x**2)*sinh(a + b*x), x)","F",0
340,0,0,0,0.000000," ","integrate(exp(x**2)*sinh(c*x**2+a),x)","\int e^{x^{2}} \sinh{\left(a + c x^{2} \right)}\, dx"," ",0,"Integral(exp(x**2)*sinh(a + c*x**2), x)","F",0
341,0,0,0,0.000000," ","integrate(exp(x**2)*sinh(c*x**2+b*x+a),x)","\int e^{x^{2}} \sinh{\left(a + b x + c x^{2} \right)}\, dx"," ",0,"Integral(exp(x**2)*sinh(a + b*x + c*x**2), x)","F",0
342,0,0,0,0.000000," ","integrate(f**(b*x+a)*sinh(f*x**2+d),x)","\int f^{a + b x} \sinh{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x)*sinh(d + f*x**2), x)","F",0
343,0,0,0,0.000000," ","integrate(f**(b*x+a)*sinh(f*x**2+d)**2,x)","\int f^{a + b x} \sinh^{2}{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x)*sinh(d + f*x**2)**2, x)","F",0
344,0,0,0,0.000000," ","integrate(f**(b*x+a)*sinh(f*x**2+d)**3,x)","\int f^{a + b x} \sinh^{3}{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x)*sinh(d + f*x**2)**3, x)","F",0
345,0,0,0,0.000000," ","integrate(f**(b*x+a)*sinh(f*x**2+e*x+d),x)","\int f^{a + b x} \sinh{\left(d + e x + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x)*sinh(d + e*x + f*x**2), x)","F",0
346,0,0,0,0.000000," ","integrate(f**(b*x+a)*sinh(f*x**2+e*x+d)**2,x)","\int f^{a + b x} \sinh^{2}{\left(d + e x + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x)*sinh(d + e*x + f*x**2)**2, x)","F",0
347,-1,0,0,0.000000," ","integrate(f**(b*x+a)*sinh(f*x**2+e*x+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
348,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*sinh(e*x+d),x)","\int f^{a + c x^{2}} \sinh{\left(d + e x \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*sinh(d + e*x), x)","F",0
349,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*sinh(e*x+d)**2,x)","\int f^{a + c x^{2}} \sinh^{2}{\left(d + e x \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*sinh(d + e*x)**2, x)","F",0
350,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*sinh(e*x+d)**3,x)","\int f^{a + c x^{2}} \sinh^{3}{\left(d + e x \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*sinh(d + e*x)**3, x)","F",0
351,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*sinh(f*x**2+d),x)","\int f^{a + c x^{2}} \sinh{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*sinh(d + f*x**2), x)","F",0
352,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*sinh(f*x**2+d)**2,x)","\int f^{a + c x^{2}} \sinh^{2}{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*sinh(d + f*x**2)**2, x)","F",0
353,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*sinh(f*x**2+d)**3,x)","\int f^{a + c x^{2}} \sinh^{3}{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*sinh(d + f*x**2)**3, x)","F",0
354,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*sinh(f*x**2+e*x+d),x)","\int f^{a + c x^{2}} \sinh{\left(d + e x + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*sinh(d + e*x + f*x**2), x)","F",0
355,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*sinh(f*x**2+e*x+d)**2,x)","\int f^{a + c x^{2}} \sinh^{2}{\left(d + e x + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*sinh(d + e*x + f*x**2)**2, x)","F",0
356,-1,0,0,0.000000," ","integrate(f**(c*x**2+a)*sinh(f*x**2+e*x+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
357,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*sinh(e*x+d),x)","\int f^{a + b x + c x^{2}} \sinh{\left(d + e x \right)}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*sinh(d + e*x), x)","F",0
358,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*sinh(e*x+d)**2,x)","\int f^{a + b x + c x^{2}} \sinh^{2}{\left(d + e x \right)}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*sinh(d + e*x)**2, x)","F",0
359,-1,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*sinh(e*x+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
360,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*sinh(f*x**2+d),x)","\int f^{a + b x + c x^{2}} \sinh{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*sinh(d + f*x**2), x)","F",0
361,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*sinh(f*x**2+d)**2,x)","\int f^{a + b x + c x^{2}} \sinh^{2}{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*sinh(d + f*x**2)**2, x)","F",0
362,-1,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*sinh(f*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
363,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*sinh(f*x**2+e*x+d),x)","\int f^{a + b x + c x^{2}} \sinh{\left(d + e x + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*sinh(d + e*x + f*x**2), x)","F",0
364,-1,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*sinh(f*x**2+e*x+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
365,-1,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*sinh(f*x**2+e*x+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
366,1,41,0,0.179355," ","integrate((x+sinh(x))**2,x)","\frac{x^{3}}{3} + \frac{x \sinh^{2}{\left(x \right)}}{2} - \frac{x \cosh^{2}{\left(x \right)}}{2} + 2 x \cosh{\left(x \right)} + \frac{\sinh{\left(x \right)} \cosh{\left(x \right)}}{2} - 2 \sinh{\left(x \right)}"," ",0,"x**3/3 + x*sinh(x)**2/2 - x*cosh(x)**2/2 + 2*x*cosh(x) + sinh(x)*cosh(x)/2 - 2*sinh(x)","A",0
367,1,85,0,0.322526," ","integrate((x+sinh(x))**3,x)","\frac{x^{4}}{4} + \frac{3 x^{2} \sinh^{2}{\left(x \right)}}{4} - \frac{3 x^{2} \cosh^{2}{\left(x \right)}}{4} + 3 x^{2} \cosh{\left(x \right)} + \frac{3 x \sinh{\left(x \right)} \cosh{\left(x \right)}}{2} - 6 x \sinh{\left(x \right)} + \sinh^{2}{\left(x \right)} \cosh{\left(x \right)} - \frac{3 \sinh^{2}{\left(x \right)}}{4} - \frac{2 \cosh^{3}{\left(x \right)}}{3} + 6 \cosh{\left(x \right)}"," ",0,"x**4/4 + 3*x**2*sinh(x)**2/4 - 3*x**2*cosh(x)**2/4 + 3*x**2*cosh(x) + 3*x*sinh(x)*cosh(x)/2 - 6*x*sinh(x) + sinh(x)**2*cosh(x) - 3*sinh(x)**2/4 - 2*cosh(x)**3/3 + 6*cosh(x)","A",0
368,0,0,0,0.000000," ","integrate(sinh(b*x+a)/(d*x**2+c),x)","\int \frac{\sinh{\left(a + b x \right)}}{c + d x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)/(c + d*x**2), x)","F",0
369,0,0,0,0.000000," ","integrate(sinh(b*x+a)/(e*x**2+d*x+c),x)","\int \frac{\sinh{\left(a + b x \right)}}{c + d x + e x^{2}}\, dx"," ",0,"Integral(sinh(a + b*x)/(c + d*x + e*x**2), x)","F",0
