1,1,12,0,0.132621," ","integrate(cosh(b*x+a),x)","\begin{cases} \frac{\sinh{\left(a + b x \right)}}{b} & \text{for}\: b \neq 0 \\x \cosh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((sinh(a + b*x)/b, Ne(b, 0)), (x*cosh(a), True))","A",0
2,1,46,0,0.206733," ","integrate(cosh(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 \cosh^{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*cosh(a)**2, True))","A",0
3,1,36,0,0.406608," ","integrate(cosh(b*x+a)**3,x)","\begin{cases} - \frac{2 \sinh^{3}{\left(a + b x \right)}}{3 b} + \frac{\sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b} & \text{for}\: b \neq 0 \\x \cosh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*sinh(a + b*x)**3/(3*b) + sinh(a + b*x)*cosh(a + b*x)**2/b, Ne(b, 0)), (x*cosh(a)**3, True))","A",0
4,1,95,0,0.846794," ","integrate(cosh(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{3 \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8 b} + \frac{5 \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{8 b} & \text{for}\: b \neq 0 \\x \cosh^{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 - 3*sinh(a + b*x)**3*cosh(a + b*x)/(8*b) + 5*sinh(a + b*x)*cosh(a + b*x)**3/(8*b), Ne(b, 0)), (x*cosh(a)**4, True))","A",0
5,1,58,0,1.567799," ","integrate(cosh(b*x+a)**5,x)","\begin{cases} \frac{8 \sinh^{5}{\left(a + b x \right)}}{15 b} - \frac{4 \sinh^{3}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{3 b} + \frac{\sinh{\left(a + b x \right)} \cosh^{4}{\left(a + b x \right)}}{b} & \text{for}\: b \neq 0 \\x \cosh^{5}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((8*sinh(a + b*x)**5/(15*b) - 4*sinh(a + b*x)**3*cosh(a + b*x)**2/(3*b) + sinh(a + b*x)*cosh(a + b*x)**4/b, Ne(b, 0)), (x*cosh(a)**5, True))","A",0
6,1,139,0,2.988361," ","integrate(cosh(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{5 \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{11 \sinh{\left(a + b x \right)} \cosh^{5}{\left(a + b x \right)}}{16 b} & \text{for}\: b \neq 0 \\x \cosh^{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 + 5*sinh(a + b*x)**5*cosh(a + b*x)/(16*b) - 5*sinh(a + b*x)**3*cosh(a + b*x)**3/(6*b) + 11*sinh(a + b*x)*cosh(a + b*x)**5/(16*b), Ne(b, 0)), (x*cosh(a)**6, True))","A",0
7,-1,0,0,0.000000," ","integrate(cosh(b*x+a)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,-1,0,0,0.000000," ","integrate(cosh(b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
9,0,0,0,0.000000," ","integrate(cosh(b*x+a)**(3/2),x)","\int \cosh^{\frac{3}{2}}{\left(a + b x \right)}\, dx"," ",0,"Integral(cosh(a + b*x)**(3/2), x)","F",0
10,0,0,0,0.000000," ","integrate(cosh(b*x+a)**(1/2),x)","\int \sqrt{\cosh{\left(a + b x \right)}}\, dx"," ",0,"Integral(sqrt(cosh(a + b*x)), x)","F",0
11,0,0,0,0.000000," ","integrate(1/cosh(b*x+a)**(1/2),x)","\int \frac{1}{\sqrt{\cosh{\left(a + b x \right)}}}\, dx"," ",0,"Integral(1/sqrt(cosh(a + b*x)), x)","F",0
12,0,0,0,0.000000," ","integrate(1/cosh(b*x+a)**(3/2),x)","\int \frac{1}{\cosh^{\frac{3}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(cosh(a + b*x)**(-3/2), x)","F",0
13,0,0,0,0.000000," ","integrate(1/cosh(b*x+a)**(5/2),x)","\int \frac{1}{\cosh^{\frac{5}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(cosh(a + b*x)**(-5/2), x)","F",0
14,-1,0,0,0.000000," ","integrate(1/cosh(b*x+a)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
15,-1,0,0,0.000000," ","integrate((a*cosh(x))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,-1,0,0,0.000000," ","integrate((a*cosh(x))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
17,0,0,0,0.000000," ","integrate((a*cosh(x))**(3/2),x)","\int \left(a \cosh{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*cosh(x))**(3/2), x)","F",0
18,0,0,0,0.000000," ","integrate((a*cosh(x))**(1/2),x)","\int \sqrt{a \cosh{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a*cosh(x)), x)","F",0
19,0,0,0,0.000000," ","integrate(1/(a*cosh(x))**(1/2),x)","\int \frac{1}{\sqrt{a \cosh{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a*cosh(x)), x)","F",0
20,0,0,0,0.000000," ","integrate(1/(a*cosh(x))**(3/2),x)","\int \frac{1}{\left(a \cosh{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*cosh(x))**(-3/2), x)","F",0
21,0,0,0,0.000000," ","integrate(1/(a*cosh(x))**(5/2),x)","\int \frac{1}{\left(a \cosh{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a*cosh(x))**(-5/2), x)","F",0
22,-1,0,0,0.000000," ","integrate(1/(a*cosh(x))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
23,0,0,0,0.000000," ","integrate((b*cosh(d*x+c))**n,x)","\int \left(b \cosh{\left(c + d x \right)}\right)^{n}\, dx"," ",0,"Integral((b*cosh(c + d*x))**n, x)","F",0
24,1,337,0,1.893319," ","integrate(cosh(x)**4/(a+a*cosh(x)),x)","- \frac{9 x \tanh^{6}{\left(\frac{x}{2} \right)}}{6 a \tanh^{6}{\left(\frac{x}{2} \right)} - 18 a \tanh^{4}{\left(\frac{x}{2} \right)} + 18 a \tanh^{2}{\left(\frac{x}{2} \right)} - 6 a} + \frac{27 x \tanh^{4}{\left(\frac{x}{2} \right)}}{6 a \tanh^{6}{\left(\frac{x}{2} \right)} - 18 a \tanh^{4}{\left(\frac{x}{2} \right)} + 18 a \tanh^{2}{\left(\frac{x}{2} \right)} - 6 a} - \frac{27 x \tanh^{2}{\left(\frac{x}{2} \right)}}{6 a \tanh^{6}{\left(\frac{x}{2} \right)} - 18 a \tanh^{4}{\left(\frac{x}{2} \right)} + 18 a \tanh^{2}{\left(\frac{x}{2} \right)} - 6 a} + \frac{9 x}{6 a \tanh^{6}{\left(\frac{x}{2} \right)} - 18 a \tanh^{4}{\left(\frac{x}{2} \right)} + 18 a \tanh^{2}{\left(\frac{x}{2} \right)} - 6 a} + \frac{6 \tanh^{7}{\left(\frac{x}{2} \right)}}{6 a \tanh^{6}{\left(\frac{x}{2} \right)} - 18 a \tanh^{4}{\left(\frac{x}{2} \right)} + 18 a \tanh^{2}{\left(\frac{x}{2} \right)} - 6 a} - \frac{48 \tanh^{5}{\left(\frac{x}{2} \right)}}{6 a \tanh^{6}{\left(\frac{x}{2} \right)} - 18 a \tanh^{4}{\left(\frac{x}{2} \right)} + 18 a \tanh^{2}{\left(\frac{x}{2} \right)} - 6 a} + \frac{50 \tanh^{3}{\left(\frac{x}{2} \right)}}{6 a \tanh^{6}{\left(\frac{x}{2} \right)} - 18 a \tanh^{4}{\left(\frac{x}{2} \right)} + 18 a \tanh^{2}{\left(\frac{x}{2} \right)} - 6 a} - \frac{24 \tanh{\left(\frac{x}{2} \right)}}{6 a \tanh^{6}{\left(\frac{x}{2} \right)} - 18 a \tanh^{4}{\left(\frac{x}{2} \right)} + 18 a \tanh^{2}{\left(\frac{x}{2} \right)} - 6 a}"," ",0,"-9*x*tanh(x/2)**6/(6*a*tanh(x/2)**6 - 18*a*tanh(x/2)**4 + 18*a*tanh(x/2)**2 - 6*a) + 27*x*tanh(x/2)**4/(6*a*tanh(x/2)**6 - 18*a*tanh(x/2)**4 + 18*a*tanh(x/2)**2 - 6*a) - 27*x*tanh(x/2)**2/(6*a*tanh(x/2)**6 - 18*a*tanh(x/2)**4 + 18*a*tanh(x/2)**2 - 6*a) + 9*x/(6*a*tanh(x/2)**6 - 18*a*tanh(x/2)**4 + 18*a*tanh(x/2)**2 - 6*a) + 6*tanh(x/2)**7/(6*a*tanh(x/2)**6 - 18*a*tanh(x/2)**4 + 18*a*tanh(x/2)**2 - 6*a) - 48*tanh(x/2)**5/(6*a*tanh(x/2)**6 - 18*a*tanh(x/2)**4 + 18*a*tanh(x/2)**2 - 6*a) + 50*tanh(x/2)**3/(6*a*tanh(x/2)**6 - 18*a*tanh(x/2)**4 + 18*a*tanh(x/2)**2 - 6*a) - 24*tanh(x/2)/(6*a*tanh(x/2)**6 - 18*a*tanh(x/2)**4 + 18*a*tanh(x/2)**2 - 6*a)","B",0
25,1,189,0,1.112663," ","integrate(cosh(x)**3/(a+a*cosh(x)),x)","\frac{3 x \tanh^{4}{\left(\frac{x}{2} \right)}}{2 a \tanh^{4}{\left(\frac{x}{2} \right)} - 4 a \tanh^{2}{\left(\frac{x}{2} \right)} + 2 a} - \frac{6 x \tanh^{2}{\left(\frac{x}{2} \right)}}{2 a \tanh^{4}{\left(\frac{x}{2} \right)} - 4 a \tanh^{2}{\left(\frac{x}{2} \right)} + 2 a} + \frac{3 x}{2 a \tanh^{4}{\left(\frac{x}{2} \right)} - 4 a \tanh^{2}{\left(\frac{x}{2} \right)} + 2 a} - \frac{2 \tanh^{5}{\left(\frac{x}{2} \right)}}{2 a \tanh^{4}{\left(\frac{x}{2} \right)} - 4 a \tanh^{2}{\left(\frac{x}{2} \right)} + 2 a} + \frac{10 \tanh^{3}{\left(\frac{x}{2} \right)}}{2 a \tanh^{4}{\left(\frac{x}{2} \right)} - 4 a \tanh^{2}{\left(\frac{x}{2} \right)} + 2 a} - \frac{4 \tanh{\left(\frac{x}{2} \right)}}{2 a \tanh^{4}{\left(\frac{x}{2} \right)} - 4 a \tanh^{2}{\left(\frac{x}{2} \right)} + 2 a}"," ",0,"3*x*tanh(x/2)**4/(2*a*tanh(x/2)**4 - 4*a*tanh(x/2)**2 + 2*a) - 6*x*tanh(x/2)**2/(2*a*tanh(x/2)**4 - 4*a*tanh(x/2)**2 + 2*a) + 3*x/(2*a*tanh(x/2)**4 - 4*a*tanh(x/2)**2 + 2*a) - 2*tanh(x/2)**5/(2*a*tanh(x/2)**4 - 4*a*tanh(x/2)**2 + 2*a) + 10*tanh(x/2)**3/(2*a*tanh(x/2)**4 - 4*a*tanh(x/2)**2 + 2*a) - 4*tanh(x/2)/(2*a*tanh(x/2)**4 - 4*a*tanh(x/2)**2 + 2*a)","B",0
26,1,63,0,0.599599," ","integrate(cosh(x)**2/(a+a*cosh(x)),x)","- \frac{x \tanh^{2}{\left(\frac{x}{2} \right)}}{a \tanh^{2}{\left(\frac{x}{2} \right)} - a} + \frac{x}{a \tanh^{2}{\left(\frac{x}{2} \right)} - a} + \frac{\tanh^{3}{\left(\frac{x}{2} \right)}}{a \tanh^{2}{\left(\frac{x}{2} \right)} - a} - \frac{3 \tanh{\left(\frac{x}{2} \right)}}{a \tanh^{2}{\left(\frac{x}{2} \right)} - a}"," ",0,"-x*tanh(x/2)**2/(a*tanh(x/2)**2 - a) + x/(a*tanh(x/2)**2 - a) + tanh(x/2)**3/(a*tanh(x/2)**2 - a) - 3*tanh(x/2)/(a*tanh(x/2)**2 - a)","B",0
27,1,8,0,0.334992," ","integrate(cosh(x)/(a+a*cosh(x)),x)","\frac{x}{a} - \frac{\tanh{\left(\frac{x}{2} \right)}}{a}"," ",0,"x/a - tanh(x/2)/a","A",0
28,0,0,0,0.000000," ","integrate(sech(x)/(a+a*cosh(x)),x)","\frac{\int \frac{\operatorname{sech}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(sech(x)/(cosh(x) + 1), x)/a","F",0
29,0,0,0,0.000000," ","integrate(sech(x)**2/(a+a*cosh(x)),x)","\frac{\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(sech(x)**2/(cosh(x) + 1), x)/a","F",0
30,0,0,0,0.000000," ","integrate(sech(x)**3/(a+a*cosh(x)),x)","\frac{\int \frac{\operatorname{sech}^{3}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(sech(x)**3/(cosh(x) + 1), x)/a","F",0
31,0,0,0,0.000000," ","integrate(sech(x)**4/(a+a*cosh(x)),x)","\frac{\int \frac{\operatorname{sech}^{4}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(sech(x)**4/(cosh(x) + 1), x)/a","F",0
32,1,17,0,0.517522," ","integrate(1/(1+cosh(d*x+c)),x)","\begin{cases} \frac{\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{d} & \text{for}\: d \neq 0 \\\frac{x}{\cosh{\left(c \right)} + 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((tanh(c/2 + d*x/2)/d, Ne(d, 0)), (x/(cosh(c) + 1), True))","A",0
33,1,36,0,1.005188," ","integrate(1/(1+cosh(d*x+c))**2,x)","\begin{cases} - \frac{\tanh^{3}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{6 d} + \frac{\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2 d} & \text{for}\: d \neq 0 \\\frac{x}{\left(\cosh{\left(c \right)} + 1\right)^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-tanh(c/2 + d*x/2)**3/(6*d) + tanh(c/2 + d*x/2)/(2*d), Ne(d, 0)), (x/(cosh(c) + 1)**2, True))","A",0
34,1,51,0,2.166215," ","integrate(1/(1+cosh(d*x+c))**3,x)","\begin{cases} \frac{\tanh^{5}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{20 d} - \frac{\tanh^{3}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{6 d} + \frac{\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{4 d} & \text{for}\: d \neq 0 \\\frac{x}{\left(\cosh{\left(c \right)} + 1\right)^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((tanh(c/2 + d*x/2)**5/(20*d) - tanh(c/2 + d*x/2)**3/(6*d) + tanh(c/2 + d*x/2)/(4*d), Ne(d, 0)), (x/(cosh(c) + 1)**3, True))","A",0
35,1,68,0,5.187442," ","integrate(1/(1+cosh(d*x+c))**4,x)","\begin{cases} - \frac{\tanh^{7}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{56 d} + \frac{3 \tanh^{5}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{40 d} - \frac{\tanh^{3}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{8 d} + \frac{\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{8 d} & \text{for}\: d \neq 0 \\\frac{x}{\left(\cosh{\left(c \right)} + 1\right)^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-tanh(c/2 + d*x/2)**7/(56*d) + 3*tanh(c/2 + d*x/2)**5/(40*d) - tanh(c/2 + d*x/2)**3/(8*d) + tanh(c/2 + d*x/2)/(8*d), Ne(d, 0)), (x/(cosh(c) + 1)**4, True))","A",0
36,1,32,0,0.626221," ","integrate(1/(1-cosh(d*x+c)),x)","\begin{cases} \tilde{\infty} x & \text{for}\: \left(c = 0 \vee c = - d x\right) \wedge \left(c = - d x \vee d = 0\right) \\\frac{x}{1 - \cosh{\left(c \right)}} & \text{for}\: d = 0 \\\frac{1}{d \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, (Eq(c, 0) | Eq(c, -d*x)) & (Eq(d, 0) | Eq(c, -d*x))), (x/(1 - cosh(c)), Eq(d, 0)), (1/(d*tanh(c/2 + d*x/2)), True))","A",0
37,1,53,0,1.226405," ","integrate(1/(1-cosh(d*x+c))**2,x)","\begin{cases} \tilde{\infty} x & \text{for}\: \left(c = 0 \vee c = - d x\right) \wedge \left(c = - d x \vee d = 0\right) \\\frac{x}{\left(1 - \cosh{\left(c \right)}\right)^{2}} & \text{for}\: d = 0 \\\frac{1}{2 d \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}} - \frac{1}{6 d \tanh^{3}{\left(\frac{c}{2} + \frac{d x}{2} \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, (Eq(c, 0) | Eq(c, -d*x)) & (Eq(d, 0) | Eq(c, -d*x))), (x/(1 - cosh(c))**2, Eq(d, 0)), (1/(2*d*tanh(c/2 + d*x/2)) - 1/(6*d*tanh(c/2 + d*x/2)**3), True))","A",0
38,1,70,0,2.524588," ","integrate(1/(1-cosh(d*x+c))**3,x)","\begin{cases} \tilde{\infty} x & \text{for}\: \left(c = 0 \vee c = - d x\right) \wedge \left(c = - d x \vee d = 0\right) \\\frac{x}{\left(1 - \cosh{\left(c \right)}\right)^{3}} & \text{for}\: d = 0 \\\frac{1}{4 d \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}} - \frac{1}{6 d \tanh^{3}{\left(\frac{c}{2} + \frac{d x}{2} \right)}} + \frac{1}{20 d \tanh^{5}{\left(\frac{c}{2} + \frac{d x}{2} \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, (Eq(c, 0) | Eq(c, -d*x)) & (Eq(d, 0) | Eq(c, -d*x))), (x/(1 - cosh(c))**3, Eq(d, 0)), (1/(4*d*tanh(c/2 + d*x/2)) - 1/(6*d*tanh(c/2 + d*x/2)**3) + 1/(20*d*tanh(c/2 + d*x/2)**5), True))","A",0
39,1,87,0,5.606951," ","integrate(1/(1-cosh(d*x+c))**4,x)","\begin{cases} \tilde{\infty} x & \text{for}\: \left(c = 0 \vee c = - d x\right) \wedge \left(c = - d x \vee d = 0\right) \\\frac{x}{\left(1 - \cosh{\left(c \right)}\right)^{4}} & \text{for}\: d = 0 \\\frac{1}{8 d \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}} - \frac{1}{8 d \tanh^{3}{\left(\frac{c}{2} + \frac{d x}{2} \right)}} + \frac{3}{40 d \tanh^{5}{\left(\frac{c}{2} + \frac{d x}{2} \right)}} - \frac{1}{56 d \tanh^{7}{\left(\frac{c}{2} + \frac{d x}{2} \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, (Eq(c, 0) | Eq(c, -d*x)) & (Eq(d, 0) | Eq(c, -d*x))), (x/(1 - cosh(c))**4, Eq(d, 0)), (1/(8*d*tanh(c/2 + d*x/2)) - 1/(8*d*tanh(c/2 + d*x/2)**3) + 3/(40*d*tanh(c/2 + d*x/2)**5) - 1/(56*d*tanh(c/2 + d*x/2)**7), True))","A",0
40,0,0,0,0.000000," ","integrate(cosh(x)/(a+a*cosh(x))**(1/2),x)","\int \frac{\cosh{\left(x \right)}}{\sqrt{a \left(\cosh{\left(x \right)} + 1\right)}}\, dx"," ",0,"Integral(cosh(x)/sqrt(a*(cosh(x) + 1)), x)","F",0
41,0,0,0,0.000000," ","integrate(cosh(x)/(a-a*cosh(x))**(1/2),x)","\int \frac{\cosh{\left(x \right)}}{\sqrt{- a \left(\cosh{\left(x \right)} - 1\right)}}\, dx"," ",0,"Integral(cosh(x)/sqrt(-a*(cosh(x) - 1)), x)","F",0
42,-1,0,0,0.000000," ","integrate((a+a*cosh(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
43,0,0,0,0.000000," ","integrate((a+a*cosh(d*x+c))**(3/2),x)","\int \left(a \cosh{\left(c + d x \right)} + a\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a*cosh(c + d*x) + a)**(3/2), x)","F",0
44,0,0,0,0.000000," ","integrate((a+a*cosh(d*x+c))**(1/2),x)","\int \sqrt{a \cosh{\left(c + d x \right)} + a}\, dx"," ",0,"Integral(sqrt(a*cosh(c + d*x) + a), x)","F",0
45,0,0,0,0.000000," ","integrate(1/(a+a*cosh(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{a \cosh{\left(c + d x \right)} + a}}\, dx"," ",0,"Integral(1/sqrt(a*cosh(c + d*x) + a), x)","F",0
46,0,0,0,0.000000," ","integrate(1/(a+a*cosh(d*x+c))**(3/2),x)","\int \frac{1}{\left(a \cosh{\left(c + d x \right)} + a\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*cosh(c + d*x) + a)**(-3/2), x)","F",0
47,0,0,0,0.000000," ","integrate(1/(a+a*cosh(d*x+c))**(5/2),x)","\int \frac{1}{\left(a \cosh{\left(c + d x \right)} + a\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a*cosh(c + d*x) + a)**(-5/2), x)","F",0
48,-1,0,0,0.000000," ","integrate((a-a*cosh(d*x+c))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
49,0,0,0,0.000000," ","integrate((a-a*cosh(d*x+c))**(3/2),x)","\int \left(- a \cosh{\left(c + d x \right)} + a\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((-a*cosh(c + d*x) + a)**(3/2), x)","F",0
50,0,0,0,0.000000," ","integrate((a-a*cosh(d*x+c))**(1/2),x)","\int \sqrt{- a \cosh{\left(c + d x \right)} + a}\, dx"," ",0,"Integral(sqrt(-a*cosh(c + d*x) + a), x)","F",0
51,0,0,0,0.000000," ","integrate(1/(a-a*cosh(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{- a \cosh{\left(c + d x \right)} + a}}\, dx"," ",0,"Integral(1/sqrt(-a*cosh(c + d*x) + a), x)","F",0
52,0,0,0,0.000000," ","integrate(1/(a-a*cosh(d*x+c))**(3/2),x)","\int \frac{1}{\left(- a \cosh{\left(c + d x \right)} + a\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((-a*cosh(c + d*x) + a)**(-3/2), x)","F",0
53,0,0,0,0.000000," ","integrate(1/(a-a*cosh(d*x+c))**(5/2),x)","\int \frac{1}{\left(- a \cosh{\left(c + d x \right)} + a\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((-a*cosh(c + d*x) + a)**(-5/2), x)","F",0
54,-1,0,0,0.000000," ","integrate(cosh(x)**4/(a+b*cosh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
55,-1,0,0,0.000000," ","integrate(cosh(x)**3/(a+b*cosh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,1,1275,0,93.904493," ","integrate(cosh(x)**2/(a+b*cosh(x)),x)","\begin{cases} \tilde{\infty} \sinh{\left(x \right)} & \text{for}\: a = 0 \wedge b = 0 \\\frac{x \tanh^{3}{\left(\frac{x}{2} \right)}}{b \tanh^{3}{\left(\frac{x}{2} \right)} - b \tanh{\left(\frac{x}{2} \right)}} - \frac{x \tanh{\left(\frac{x}{2} \right)}}{b \tanh^{3}{\left(\frac{x}{2} \right)} - b \tanh{\left(\frac{x}{2} \right)}} - \frac{3 \tanh^{2}{\left(\frac{x}{2} \right)}}{b \tanh^{3}{\left(\frac{x}{2} \right)} - b \tanh{\left(\frac{x}{2} \right)}} + \frac{1}{b \tanh^{3}{\left(\frac{x}{2} \right)} - b \tanh{\left(\frac{x}{2} \right)}} & \text{for}\: a = - b \\\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{x \tanh^{2}{\left(\frac{x}{2} \right)}}{b \tanh^{2}{\left(\frac{x}{2} \right)} - b} + \frac{x}{b \tanh^{2}{\left(\frac{x}{2} \right)} - b} + \frac{\tanh^{3}{\left(\frac{x}{2} \right)}}{b \tanh^{2}{\left(\frac{x}{2} \right)} - b} - \frac{3 \tanh{\left(\frac{x}{2} \right)}}{b \tanh^{2}{\left(\frac{x}{2} \right)} - b} & \text{for}\: a = b \\- \frac{a^{2} x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)}}{a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} + b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{a^{2} x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}}{a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} + b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{a^{2} \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh^{2}{\left(\frac{x}{2} \right)}}{a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} + b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{a^{2} \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} + b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{a^{2} \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh^{2}{\left(\frac{x}{2} \right)}}{a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} + b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{a^{2} \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} + b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{a b x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)}}{a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} + b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{a b x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}}{a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} + b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{2 a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh{\left(\frac{x}{2} \right)}}{a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} + b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{2 b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh{\left(\frac{x}{2} \right)}}{a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - a b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} + b^{3} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*sinh(x), Eq(a, 0) & Eq(b, 0)), (x*tanh(x/2)**3/(b*tanh(x/2)**3 - b*tanh(x/2)) - x*tanh(x/2)/(b*tanh(x/2)**3 - b*tanh(x/2)) - 3*tanh(x/2)**2/(b*tanh(x/2)**3 - b*tanh(x/2)) + 1/(b*tanh(x/2)**3 - b*tanh(x/2)), Eq(a, -b)), ((-x*sinh(x)**2/2 + x*cosh(x)**2/2 + sinh(x)*cosh(x)/2)/a, Eq(b, 0)), (-x*tanh(x/2)**2/(b*tanh(x/2)**2 - b) + x/(b*tanh(x/2)**2 - b) + tanh(x/2)**3/(b*tanh(x/2)**2 - b) - 3*tanh(x/2)/(b*tanh(x/2)**2 - b), Eq(a, b)), (-a**2*x*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2/(a*b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - a*b**2*sqrt(a/(a - b) + b/(a - b)) - b**3*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 + b**3*sqrt(a/(a - b) + b/(a - b))) + a**2*x*sqrt(a/(a - b) + b/(a - b))/(a*b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - a*b**2*sqrt(a/(a - b) + b/(a - b)) - b**3*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 + b**3*sqrt(a/(a - b) + b/(a - b))) - a**2*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))*tanh(x/2)**2/(a*b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - a*b**2*sqrt(a/(a - b) + b/(a - b)) - b**3*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 + b**3*sqrt(a/(a - b) + b/(a - b))) + a**2*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - a*b**2*sqrt(a/(a - b) + b/(a - b)) - b**3*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 + b**3*sqrt(a/(a - b) + b/(a - b))) + a**2*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))*tanh(x/2)**2/(a*b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - a*b**2*sqrt(a/(a - b) + b/(a - b)) - b**3*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 + b**3*sqrt(a/(a - b) + b/(a - b))) - a**2*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - a*b**2*sqrt(a/(a - b) + b/(a - b)) - b**3*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 + b**3*sqrt(a/(a - b) + b/(a - b))) + a*b*x*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2/(a*b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - a*b**2*sqrt(a/(a - b) + b/(a - b)) - b**3*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 + b**3*sqrt(a/(a - b) + b/(a - b))) - a*b*x*sqrt(a/(a - b) + b/(a - b))/(a*b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - a*b**2*sqrt(a/(a - b) + b/(a - b)) - b**3*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 + b**3*sqrt(a/(a - b) + b/(a - b))) - 2*a*b*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)/(a*b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - a*b**2*sqrt(a/(a - b) + b/(a - b)) - b**3*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 + b**3*sqrt(a/(a - b) + b/(a - b))) + 2*b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)/(a*b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - a*b**2*sqrt(a/(a - b) + b/(a - b)) - b**3*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 + b**3*sqrt(a/(a - b) + b/(a - b))), True))","A",0
57,1,241,0,25.019116," ","integrate(cosh(x)/(a+b*cosh(x)),x)","\begin{cases} \tilde{\infty} x & \text{for}\: a = 0 \wedge b = 0 \\\frac{x}{b} - \frac{1}{b \tanh{\left(\frac{x}{2} \right)}} & \text{for}\: a = - b \\\frac{\sinh{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{x}{b} - \frac{\tanh{\left(\frac{x}{2} \right)}}{b} & \text{for}\: a = b \\\frac{a x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{a \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{a \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{b x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, Eq(a, 0) & Eq(b, 0)), (x/b - 1/(b*tanh(x/2)), Eq(a, -b)), (sinh(x)/a, Eq(b, 0)), (x/b - tanh(x/2)/b, Eq(a, b)), (a*x*sqrt(a/(a - b) + b/(a - b))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) + a*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) - a*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) - b*x*sqrt(a/(a - b) + b/(a - b))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))), True))","A",0
58,0,0,0,0.000000," ","integrate(sech(x)/(a+b*cosh(x)),x)","\int \frac{\operatorname{sech}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)/(a + b*cosh(x)), x)","F",0
59,0,0,0,0.000000," ","integrate(sech(x)**2/(a+b*cosh(x)),x)","\int \frac{\operatorname{sech}^{2}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**2/(a + b*cosh(x)), x)","F",0
60,0,0,0,0.000000," ","integrate(sech(x)**3/(a+b*cosh(x)),x)","\int \frac{\operatorname{sech}^{3}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**3/(a + b*cosh(x)), x)","F",0
61,0,0,0,0.000000," ","integrate(sech(x)**4/(a+b*cosh(x)),x)","\int \frac{\operatorname{sech}^{4}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(sech(x)**4/(a + b*cosh(x)), x)","F",0
62,1,314,0,2.253030," ","integrate((a+b*cosh(d*x+c))**5,x)","\begin{cases} a^{5} x + \frac{5 a^{4} b \sinh{\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{20 a^{2} b^{3} \sinh^{3}{\left(c + d x \right)}}{3 d} + \frac{10 a^{2} b^{3} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{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{15 a b^{4} \sinh^{3}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8 d} + \frac{25 a b^{4} \sinh{\left(c + d x \right)} \cosh^{3}{\left(c + d x \right)}}{8 d} + \frac{8 b^{5} \sinh^{5}{\left(c + d x \right)}}{15 d} - \frac{4 b^{5} \sinh^{3}{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{3 d} + \frac{b^{5} \sinh{\left(c + d x \right)} \cosh^{4}{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \cosh{\left(c \right)}\right)^{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**5*x + 5*a**4*b*sinh(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 - 20*a**2*b**3*sinh(c + d*x)**3/(3*d) + 10*a**2*b**3*sinh(c + d*x)*cosh(c + d*x)**2/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 - 15*a*b**4*sinh(c + d*x)**3*cosh(c + d*x)/(8*d) + 25*a*b**4*sinh(c + d*x)*cosh(c + d*x)**3/(8*d) + 8*b**5*sinh(c + d*x)**5/(15*d) - 4*b**5*sinh(c + d*x)**3*cosh(c + d*x)**2/(3*d) + b**5*sinh(c + d*x)*cosh(c + d*x)**4/d, Ne(d, 0)), (x*(a + b*cosh(c))**5, True))","A",0
63,1,240,0,1.101665," ","integrate((a+b*cosh(d*x+c))**4,x)","\begin{cases} a^{4} x + \frac{4 a^{3} b \sinh{\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{8 a b^{3} \sinh^{3}{\left(c + d x \right)}}{3 d} + \frac{4 a b^{3} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{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{3 b^{4} \sinh^{3}{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{8 d} + \frac{5 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 \cosh{\left(c \right)}\right)^{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**4*x + 4*a**3*b*sinh(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 - 8*a*b**3*sinh(c + d*x)**3/(3*d) + 4*a*b**3*sinh(c + d*x)*cosh(c + d*x)**2/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 - 3*b**4*sinh(c + d*x)**3*cosh(c + d*x)/(8*d) + 5*b**4*sinh(c + d*x)*cosh(c + d*x)**3/(8*d), Ne(d, 0)), (x*(a + b*cosh(c))**4, True))","A",0
64,1,128,0,0.536799," ","integrate((a+b*cosh(d*x+c))**3,x)","\begin{cases} a^{3} x + \frac{3 a^{2} b \sinh{\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{2 b^{3} \sinh^{3}{\left(c + d x \right)}}{3 d} + \frac{b^{3} \sinh{\left(c + d x \right)} \cosh^{2}{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \cosh{\left(c \right)}\right)^{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*x + 3*a**2*b*sinh(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) - 2*b**3*sinh(c + d*x)**3/(3*d) + b**3*sinh(c + d*x)*cosh(c + d*x)**2/d, Ne(d, 0)), (x*(a + b*cosh(c))**3, True))","A",0
65,1,78,0,0.264857," ","integrate((a+b*cosh(d*x+c))**2,x)","\begin{cases} a^{2} x + \frac{2 a b \sinh{\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 \cosh{\left(c \right)}\right)^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x + 2*a*b*sinh(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*cosh(c))**2, True))","A",0
66,1,17,0,0.132491," ","integrate(a+b*cosh(d*x+c),x)","a x + b \left(\begin{cases} \frac{\sinh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \cosh{\left(c \right)} & \text{otherwise} \end{cases}\right)"," ",0,"a*x + b*Piecewise((sinh(c + d*x)/d, Ne(d, 0)), (x*cosh(c), True))","A",0
67,1,163,0,4.619627," ","integrate(1/(a+b*cosh(d*x+c)),x)","\begin{cases} \frac{\tilde{\infty} x}{\cosh{\left(c \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\\frac{\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{b d} & \text{for}\: a = b \\- \frac{1}{b d \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}} & \text{for}\: a = - b \\\frac{x}{a + b \cosh{\left(c \right)}} & \text{for}\: d = 0 \\- \frac{\log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} \right)}}{a d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{\log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} \right)}}{a d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x/cosh(c), Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), (tanh(c/2 + d*x/2)/(b*d), Eq(a, b)), (-1/(b*d*tanh(c/2 + d*x/2)), Eq(a, -b)), (x/(a + b*cosh(c)), Eq(d, 0)), (-log(-sqrt(a/(a - b) + b/(a - b)) + tanh(c/2 + d*x/2))/(a*d*sqrt(a/(a - b) + b/(a - b)) - b*d*sqrt(a/(a - b) + b/(a - b))) + log(sqrt(a/(a - b) + b/(a - b)) + tanh(c/2 + d*x/2))/(a*d*sqrt(a/(a - b) + b/(a - b)) - b*d*sqrt(a/(a - b) + b/(a - b))), True))","A",0
68,0,0,0,0.000000," ","integrate(1/(a+b*cosh(d*x+c))**2,x)","\int \frac{1}{\left(a + b \cosh{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*cosh(c + d*x))**(-2), x)","F",0
69,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
70,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(d*x+c))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
71,1,24,0,0.776605," ","integrate(1/(3+5*cosh(d*x+c)),x)","\begin{cases} \frac{\operatorname{atan}{\left(\frac{\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2} \right)}}{2 d} & \text{for}\: d \neq 0 \\\frac{x}{5 \cosh{\left(c \right)} + 3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((atan(tanh(c/2 + d*x/2)/2)/(2*d), Ne(d, 0)), (x/(5*cosh(c) + 3), True))","A",0
72,1,316,0,2.519380," ","integrate(1/(3+5*cosh(d*x+c))**2,x)","\begin{cases} \frac{x}{\left(5 \cosh{\left(\log{\left(- \frac{3}{5} - \frac{4 i}{5} \right)} \right)} + 3\right)^{2}} & \text{for}\: c = \log{\left(- \frac{3}{5} - \frac{4 i}{5} \right)} \wedge d = 0 \\- \frac{\log{\left(- 3 e^{- d x} - 4 i e^{- d x} \right)}}{25 d \cosh^{2}{\left(d x + \log{\left(- 3 e^{- d x} - 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 30 d \cosh{\left(d x + \log{\left(- 3 e^{- d x} - 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 9 d} + \frac{\log{\left(5 \right)}}{25 d \cosh^{2}{\left(d x + \log{\left(- 3 e^{- d x} - 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 30 d \cosh{\left(d x + \log{\left(- 3 e^{- d x} - 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 9 d} & \text{for}\: c = \log{\left(\frac{\left(-3 - 4 i\right) e^{- d x}}{5} \right)} \\\frac{x}{\left(5 \cosh{\left(c \right)} + 3\right)^{2}} & \text{for}\: d = 0 \\- \frac{3 \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} \operatorname{atan}{\left(\frac{\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2} \right)}}{32 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 128 d} + \frac{10 \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{32 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 128 d} - \frac{12 \operatorname{atan}{\left(\frac{\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2} \right)}}{32 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 128 d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x/(5*cosh(log(-3/5 - 4*I/5)) + 3)**2, Eq(d, 0) & Eq(c, log(-3/5 - 4*I/5))), (-log(-3*exp(-d*x) - 4*I*exp(-d*x))/(25*d*cosh(d*x + log(-3*exp(-d*x) - 4*I*exp(-d*x)) - log(5))**2 + 30*d*cosh(d*x + log(-3*exp(-d*x) - 4*I*exp(-d*x)) - log(5)) + 9*d) + log(5)/(25*d*cosh(d*x + log(-3*exp(-d*x) - 4*I*exp(-d*x)) - log(5))**2 + 30*d*cosh(d*x + log(-3*exp(-d*x) - 4*I*exp(-d*x)) - log(5)) + 9*d), Eq(c, log((-3 - 4*I)*exp(-d*x)/5))), (x/(5*cosh(c) + 3)**2, Eq(d, 0)), (-3*tanh(c/2 + d*x/2)**2*atan(tanh(c/2 + d*x/2)/2)/(32*d*tanh(c/2 + d*x/2)**2 + 128*d) + 10*tanh(c/2 + d*x/2)/(32*d*tanh(c/2 + d*x/2)**2 + 128*d) - 12*atan(tanh(c/2 + d*x/2)/2)/(32*d*tanh(c/2 + d*x/2)**2 + 128*d), True))","A",0
73,1,530,0,6.592436," ","integrate(1/(3+5*cosh(d*x+c))**3,x)","\begin{cases} - \frac{\log{\left(- 3 e^{- d x} + 4 i e^{- d x} \right)}}{125 d \cosh^{3}{\left(d x + \log{\left(- 3 e^{- d x} + 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 225 d \cosh^{2}{\left(d x + \log{\left(- 3 e^{- d x} + 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 135 d \cosh{\left(d x + \log{\left(- 3 e^{- d x} + 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 27 d} & \text{for}\: c = \log{\left(\left(-3 + 4 i\right) e^{- d x} \right)} - \log{\left(5 \right)} \\- \frac{\log{\left(- 3 e^{- d x} - 4 i e^{- d x} \right)}}{125 d \cosh^{3}{\left(d x + \log{\left(- 3 e^{- d x} - 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 225 d \cosh^{2}{\left(d x + \log{\left(- 3 e^{- d x} - 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 135 d \cosh{\left(d x + \log{\left(- 3 e^{- d x} - 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 27 d} & \text{for}\: c = \log{\left(- \left(3 + 4 i\right) e^{- d x} \right)} - \log{\left(5 \right)} \\\frac{x}{\left(5 \cosh{\left(c \right)} + 3\right)^{3}} & \text{for}\: d = 0 \\\frac{43 \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} \operatorname{atan}{\left(\frac{\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2} \right)}}{1024 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 8192 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 16384 d} - \frac{170 \tanh^{3}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{1024 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 8192 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 16384 d} + \frac{344 \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} \operatorname{atan}{\left(\frac{\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2} \right)}}{1024 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 8192 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 16384 d} - \frac{280 \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{1024 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 8192 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 16384 d} + \frac{688 \operatorname{atan}{\left(\frac{\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2} \right)}}{1024 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 8192 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 16384 d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-log(-3*exp(-d*x) + 4*I*exp(-d*x))/(125*d*cosh(d*x + log(-3*exp(-d*x) + 4*I*exp(-d*x)) - log(5))**3 + 225*d*cosh(d*x + log(-3*exp(-d*x) + 4*I*exp(-d*x)) - log(5))**2 + 135*d*cosh(d*x + log(-3*exp(-d*x) + 4*I*exp(-d*x)) - log(5)) + 27*d), Eq(c, log((-3 + 4*I)*exp(-d*x)) - log(5))), (-log(-3*exp(-d*x) - 4*I*exp(-d*x))/(125*d*cosh(d*x + log(-3*exp(-d*x) - 4*I*exp(-d*x)) - log(5))**3 + 225*d*cosh(d*x + log(-3*exp(-d*x) - 4*I*exp(-d*x)) - log(5))**2 + 135*d*cosh(d*x + log(-3*exp(-d*x) - 4*I*exp(-d*x)) - log(5)) + 27*d), Eq(c, log(-(3 + 4*I)*exp(-d*x)) - log(5))), (x/(5*cosh(c) + 3)**3, Eq(d, 0)), (43*tanh(c/2 + d*x/2)**4*atan(tanh(c/2 + d*x/2)/2)/(1024*d*tanh(c/2 + d*x/2)**4 + 8192*d*tanh(c/2 + d*x/2)**2 + 16384*d) - 170*tanh(c/2 + d*x/2)**3/(1024*d*tanh(c/2 + d*x/2)**4 + 8192*d*tanh(c/2 + d*x/2)**2 + 16384*d) + 344*tanh(c/2 + d*x/2)**2*atan(tanh(c/2 + d*x/2)/2)/(1024*d*tanh(c/2 + d*x/2)**4 + 8192*d*tanh(c/2 + d*x/2)**2 + 16384*d) - 280*tanh(c/2 + d*x/2)/(1024*d*tanh(c/2 + d*x/2)**4 + 8192*d*tanh(c/2 + d*x/2)**2 + 16384*d) + 688*atan(tanh(c/2 + d*x/2)/2)/(1024*d*tanh(c/2 + d*x/2)**4 + 8192*d*tanh(c/2 + d*x/2)**2 + 16384*d), True))","A",0
74,1,809,0,14.131779," ","integrate(1/(3+5*cosh(d*x+c))**4,x)","\begin{cases} - \frac{\log{\left(- 3 e^{- d x} + 4 i e^{- d x} \right)}}{625 d \cosh^{4}{\left(d x + \log{\left(- 3 e^{- d x} + 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 1500 d \cosh^{3}{\left(d x + \log{\left(- 3 e^{- d x} + 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 1350 d \cosh^{2}{\left(d x + \log{\left(- 3 e^{- d x} + 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 540 d \cosh{\left(d x + \log{\left(- 3 e^{- d x} + 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 81 d} & \text{for}\: c = \log{\left(\left(-3 + 4 i\right) e^{- d x} \right)} - \log{\left(5 \right)} \\- \frac{\log{\left(- 3 e^{- d x} - 4 i e^{- d x} \right)}}{625 d \cosh^{4}{\left(d x + \log{\left(- 3 e^{- d x} - 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 1500 d \cosh^{3}{\left(d x + \log{\left(- 3 e^{- d x} - 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 1350 d \cosh^{2}{\left(d x + \log{\left(- 3 e^{- d x} - 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 540 d \cosh{\left(d x + \log{\left(- 3 e^{- d x} - 4 i e^{- d x} \right)} - \log{\left(5 \right)} \right)} + 81 d} & \text{for}\: c = \log{\left(- \left(3 + 4 i\right) e^{- d x} \right)} - \log{\left(5 \right)} \\\frac{x}{\left(5 \cosh{\left(c \right)} + 3\right)^{4}} & \text{for}\: d = 0 \\- \frac{837 \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} \operatorname{atan}{\left(\frac{\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2} \right)}}{49152 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 589824 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2359296 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 3145728 d} + \frac{4470 \tanh^{5}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{49152 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 589824 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2359296 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 3145728 d} - \frac{10044 \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} \operatorname{atan}{\left(\frac{\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2} \right)}}{49152 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 589824 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2359296 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 3145728 d} + \frac{16960 \tanh^{3}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{49152 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 589824 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2359296 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 3145728 d} - \frac{40176 \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} \operatorname{atan}{\left(\frac{\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2} \right)}}{49152 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 589824 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2359296 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 3145728 d} + \frac{28320 \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{49152 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 589824 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2359296 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 3145728 d} - \frac{53568 \operatorname{atan}{\left(\frac{\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2} \right)}}{49152 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 589824 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2359296 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 3145728 d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-log(-3*exp(-d*x) + 4*I*exp(-d*x))/(625*d*cosh(d*x + log(-3*exp(-d*x) + 4*I*exp(-d*x)) - log(5))**4 + 1500*d*cosh(d*x + log(-3*exp(-d*x) + 4*I*exp(-d*x)) - log(5))**3 + 1350*d*cosh(d*x + log(-3*exp(-d*x) + 4*I*exp(-d*x)) - log(5))**2 + 540*d*cosh(d*x + log(-3*exp(-d*x) + 4*I*exp(-d*x)) - log(5)) + 81*d), Eq(c, log((-3 + 4*I)*exp(-d*x)) - log(5))), (-log(-3*exp(-d*x) - 4*I*exp(-d*x))/(625*d*cosh(d*x + log(-3*exp(-d*x) - 4*I*exp(-d*x)) - log(5))**4 + 1500*d*cosh(d*x + log(-3*exp(-d*x) - 4*I*exp(-d*x)) - log(5))**3 + 1350*d*cosh(d*x + log(-3*exp(-d*x) - 4*I*exp(-d*x)) - log(5))**2 + 540*d*cosh(d*x + log(-3*exp(-d*x) - 4*I*exp(-d*x)) - log(5)) + 81*d), Eq(c, log(-(3 + 4*I)*exp(-d*x)) - log(5))), (x/(5*cosh(c) + 3)**4, Eq(d, 0)), (-837*tanh(c/2 + d*x/2)**6*atan(tanh(c/2 + d*x/2)/2)/(49152*d*tanh(c/2 + d*x/2)**6 + 589824*d*tanh(c/2 + d*x/2)**4 + 2359296*d*tanh(c/2 + d*x/2)**2 + 3145728*d) + 4470*tanh(c/2 + d*x/2)**5/(49152*d*tanh(c/2 + d*x/2)**6 + 589824*d*tanh(c/2 + d*x/2)**4 + 2359296*d*tanh(c/2 + d*x/2)**2 + 3145728*d) - 10044*tanh(c/2 + d*x/2)**4*atan(tanh(c/2 + d*x/2)/2)/(49152*d*tanh(c/2 + d*x/2)**6 + 589824*d*tanh(c/2 + d*x/2)**4 + 2359296*d*tanh(c/2 + d*x/2)**2 + 3145728*d) + 16960*tanh(c/2 + d*x/2)**3/(49152*d*tanh(c/2 + d*x/2)**6 + 589824*d*tanh(c/2 + d*x/2)**4 + 2359296*d*tanh(c/2 + d*x/2)**2 + 3145728*d) - 40176*tanh(c/2 + d*x/2)**2*atan(tanh(c/2 + d*x/2)/2)/(49152*d*tanh(c/2 + d*x/2)**6 + 589824*d*tanh(c/2 + d*x/2)**4 + 2359296*d*tanh(c/2 + d*x/2)**2 + 3145728*d) + 28320*tanh(c/2 + d*x/2)/(49152*d*tanh(c/2 + d*x/2)**6 + 589824*d*tanh(c/2 + d*x/2)**4 + 2359296*d*tanh(c/2 + d*x/2)**2 + 3145728*d) - 53568*atan(tanh(c/2 + d*x/2)/2)/(49152*d*tanh(c/2 + d*x/2)**6 + 589824*d*tanh(c/2 + d*x/2)**4 + 2359296*d*tanh(c/2 + d*x/2)**2 + 3145728*d), True))","A",0
75,1,41,0,0.632937," ","integrate(1/(5+3*cosh(d*x+c)),x)","\begin{cases} - \frac{\log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2 \right)}}{4 d} + \frac{\log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2 \right)}}{4 d} & \text{for}\: d \neq 0 \\\frac{x}{3 \cosh{\left(c \right)} + 5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-log(tanh(c/2 + d*x/2) - 2)/(4*d) + log(tanh(c/2 + d*x/2) + 2)/(4*d), Ne(d, 0)), (x/(3*cosh(c) + 5), True))","A",0
76,1,199,0,1.652040," ","integrate(1/(5+3*cosh(d*x+c))**2,x)","\begin{cases} - \frac{5 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2 \right)} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{64 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 256 d} + \frac{20 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2 \right)}}{64 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 256 d} + \frac{5 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2 \right)} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{64 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 256 d} - \frac{20 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2 \right)}}{64 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 256 d} + \frac{12 \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{64 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 256 d} & \text{for}\: d \neq 0 \\\frac{x}{\left(3 \cosh{\left(c \right)} + 5\right)^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-5*log(tanh(c/2 + d*x/2) - 2)*tanh(c/2 + d*x/2)**2/(64*d*tanh(c/2 + d*x/2)**2 - 256*d) + 20*log(tanh(c/2 + d*x/2) - 2)/(64*d*tanh(c/2 + d*x/2)**2 - 256*d) + 5*log(tanh(c/2 + d*x/2) + 2)*tanh(c/2 + d*x/2)**2/(64*d*tanh(c/2 + d*x/2)**2 - 256*d) - 20*log(tanh(c/2 + d*x/2) + 2)/(64*d*tanh(c/2 + d*x/2)**2 - 256*d) + 12*tanh(c/2 + d*x/2)/(64*d*tanh(c/2 + d*x/2)**2 - 256*d), Ne(d, 0)), (x/(3*cosh(c) + 5)**2, True))","A",0
77,1,445,0,3.668801," ","integrate(1/(5+3*cosh(d*x+c))**3,x)","\begin{cases} - \frac{59 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2 \right)} \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2048 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 16384 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 32768 d} + \frac{472 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2 \right)} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2048 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 16384 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 32768 d} - \frac{944 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2 \right)}}{2048 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 16384 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 32768 d} + \frac{59 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2 \right)} \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2048 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 16384 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 32768 d} - \frac{472 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2 \right)} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2048 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 16384 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 32768 d} + \frac{944 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2 \right)}}{2048 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 16384 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 32768 d} + \frac{276 \tanh^{3}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2048 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 16384 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 32768 d} - \frac{816 \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{2048 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 16384 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 32768 d} & \text{for}\: d \neq 0 \\\frac{x}{\left(3 \cosh{\left(c \right)} + 5\right)^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-59*log(tanh(c/2 + d*x/2) - 2)*tanh(c/2 + d*x/2)**4/(2048*d*tanh(c/2 + d*x/2)**4 - 16384*d*tanh(c/2 + d*x/2)**2 + 32768*d) + 472*log(tanh(c/2 + d*x/2) - 2)*tanh(c/2 + d*x/2)**2/(2048*d*tanh(c/2 + d*x/2)**4 - 16384*d*tanh(c/2 + d*x/2)**2 + 32768*d) - 944*log(tanh(c/2 + d*x/2) - 2)/(2048*d*tanh(c/2 + d*x/2)**4 - 16384*d*tanh(c/2 + d*x/2)**2 + 32768*d) + 59*log(tanh(c/2 + d*x/2) + 2)*tanh(c/2 + d*x/2)**4/(2048*d*tanh(c/2 + d*x/2)**4 - 16384*d*tanh(c/2 + d*x/2)**2 + 32768*d) - 472*log(tanh(c/2 + d*x/2) + 2)*tanh(c/2 + d*x/2)**2/(2048*d*tanh(c/2 + d*x/2)**4 - 16384*d*tanh(c/2 + d*x/2)**2 + 32768*d) + 944*log(tanh(c/2 + d*x/2) + 2)/(2048*d*tanh(c/2 + d*x/2)**4 - 16384*d*tanh(c/2 + d*x/2)**2 + 32768*d) + 276*tanh(c/2 + d*x/2)**3/(2048*d*tanh(c/2 + d*x/2)**4 - 16384*d*tanh(c/2 + d*x/2)**2 + 32768*d) - 816*tanh(c/2 + d*x/2)/(2048*d*tanh(c/2 + d*x/2)**4 - 16384*d*tanh(c/2 + d*x/2)**2 + 32768*d), Ne(d, 0)), (x/(3*cosh(c) + 5)**3, True))","A",0
78,1,784,0,7.954401," ","integrate(1/(5+3*cosh(d*x+c))**4,x)","\begin{cases} - \frac{385 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2 \right)} \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{32768 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 393216 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 1572864 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2097152 d} + \frac{4620 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2 \right)} \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{32768 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 393216 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 1572864 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2097152 d} - \frac{18480 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2 \right)} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{32768 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 393216 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 1572864 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2097152 d} + \frac{24640 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2 \right)}}{32768 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 393216 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 1572864 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2097152 d} + \frac{385 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2 \right)} \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{32768 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 393216 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 1572864 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2097152 d} - \frac{4620 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2 \right)} \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{32768 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 393216 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 1572864 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2097152 d} + \frac{18480 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2 \right)} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{32768 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 393216 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 1572864 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2097152 d} - \frac{24640 \log{\left(\tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 2 \right)}}{32768 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 393216 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 1572864 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2097152 d} + \frac{2556 \tanh^{5}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{32768 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 393216 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 1572864 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2097152 d} - \frac{14976 \tanh^{3}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{32768 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 393216 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 1572864 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2097152 d} + \frac{23616 \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{32768 d \tanh^{6}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 393216 d \tanh^{4}{\left(\frac{c}{2} + \frac{d x}{2} \right)} + 1572864 d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - 2097152 d} & \text{for}\: d \neq 0 \\\frac{x}{\left(3 \cosh{\left(c \right)} + 5\right)^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-385*log(tanh(c/2 + d*x/2) - 2)*tanh(c/2 + d*x/2)**6/(32768*d*tanh(c/2 + d*x/2)**6 - 393216*d*tanh(c/2 + d*x/2)**4 + 1572864*d*tanh(c/2 + d*x/2)**2 - 2097152*d) + 4620*log(tanh(c/2 + d*x/2) - 2)*tanh(c/2 + d*x/2)**4/(32768*d*tanh(c/2 + d*x/2)**6 - 393216*d*tanh(c/2 + d*x/2)**4 + 1572864*d*tanh(c/2 + d*x/2)**2 - 2097152*d) - 18480*log(tanh(c/2 + d*x/2) - 2)*tanh(c/2 + d*x/2)**2/(32768*d*tanh(c/2 + d*x/2)**6 - 393216*d*tanh(c/2 + d*x/2)**4 + 1572864*d*tanh(c/2 + d*x/2)**2 - 2097152*d) + 24640*log(tanh(c/2 + d*x/2) - 2)/(32768*d*tanh(c/2 + d*x/2)**6 - 393216*d*tanh(c/2 + d*x/2)**4 + 1572864*d*tanh(c/2 + d*x/2)**2 - 2097152*d) + 385*log(tanh(c/2 + d*x/2) + 2)*tanh(c/2 + d*x/2)**6/(32768*d*tanh(c/2 + d*x/2)**6 - 393216*d*tanh(c/2 + d*x/2)**4 + 1572864*d*tanh(c/2 + d*x/2)**2 - 2097152*d) - 4620*log(tanh(c/2 + d*x/2) + 2)*tanh(c/2 + d*x/2)**4/(32768*d*tanh(c/2 + d*x/2)**6 - 393216*d*tanh(c/2 + d*x/2)**4 + 1572864*d*tanh(c/2 + d*x/2)**2 - 2097152*d) + 18480*log(tanh(c/2 + d*x/2) + 2)*tanh(c/2 + d*x/2)**2/(32768*d*tanh(c/2 + d*x/2)**6 - 393216*d*tanh(c/2 + d*x/2)**4 + 1572864*d*tanh(c/2 + d*x/2)**2 - 2097152*d) - 24640*log(tanh(c/2 + d*x/2) + 2)/(32768*d*tanh(c/2 + d*x/2)**6 - 393216*d*tanh(c/2 + d*x/2)**4 + 1572864*d*tanh(c/2 + d*x/2)**2 - 2097152*d) + 2556*tanh(c/2 + d*x/2)**5/(32768*d*tanh(c/2 + d*x/2)**6 - 393216*d*tanh(c/2 + d*x/2)**4 + 1572864*d*tanh(c/2 + d*x/2)**2 - 2097152*d) - 14976*tanh(c/2 + d*x/2)**3/(32768*d*tanh(c/2 + d*x/2)**6 - 393216*d*tanh(c/2 + d*x/2)**4 + 1572864*d*tanh(c/2 + d*x/2)**2 - 2097152*d) + 23616*tanh(c/2 + d*x/2)/(32768*d*tanh(c/2 + d*x/2)**6 - 393216*d*tanh(c/2 + d*x/2)**4 + 1572864*d*tanh(c/2 + d*x/2)**2 - 2097152*d), Ne(d, 0)), (x/(3*cosh(c) + 5)**4, True))","A",0
79,-1,0,0,0.000000," ","integrate((a+b*cosh(x))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
80,0,0,0,0.000000," ","integrate((a+b*cosh(x))**(3/2),x)","\int \left(a + b \cosh{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*cosh(x))**(3/2), x)","F",0
81,0,0,0,0.000000," ","integrate((a+b*cosh(d*x+c))**(1/2),x)","\int \sqrt{a + b \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*cosh(c + d*x)), x)","F",0
82,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x))**(1/2),x)","\int \frac{1}{\sqrt{a + b \cosh{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*cosh(x)), x)","F",0
83,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x))**(3/2),x)","\int \frac{1}{\left(a + b \cosh{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*cosh(x))**(-3/2), x)","F",0
84,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x))**(5/2),x)","\int \frac{1}{\left(a + b \cosh{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*cosh(x))**(-5/2), x)","F",0
85,-1,0,0,0.000000," ","integrate(1/(a+b*cosh(x))**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
86,0,0,0,0.000000," ","integrate(cosh(x)/(a+b*cosh(x))**(1/2),x)","\int \frac{\cosh{\left(x \right)}}{\sqrt{a + b \cosh{\left(x \right)}}}\, dx"," ",0,"Integral(cosh(x)/sqrt(a + b*cosh(x)), x)","F",0
87,-1,0,0,0.000000," ","integrate((a+a*cosh(x))**(5/2)*(A+B*cosh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
88,0,0,0,0.000000," ","integrate((a+a*cosh(x))**(3/2)*(A+B*cosh(x)),x)","\int \left(a \left(\cosh{\left(x \right)} + 1\right)\right)^{\frac{3}{2}} \left(A + B \cosh{\left(x \right)}\right)\, dx"," ",0,"Integral((a*(cosh(x) + 1))**(3/2)*(A + B*cosh(x)), x)","F",0
89,0,0,0,0.000000," ","integrate((a+a*cosh(x))**(1/2)*(A+B*cosh(x)),x)","\int \sqrt{a \left(\cosh{\left(x \right)} + 1\right)} \left(A + B \cosh{\left(x \right)}\right)\, dx"," ",0,"Integral(sqrt(a*(cosh(x) + 1))*(A + B*cosh(x)), x)","F",0
90,-1,0,0,0.000000," ","integrate((a-a*cosh(x))**(5/2)*(A+B*cosh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
91,0,0,0,0.000000," ","integrate((a-a*cosh(x))**(3/2)*(A+B*cosh(x)),x)","\int \left(- a \left(\cosh{\left(x \right)} - 1\right)\right)^{\frac{3}{2}} \left(A + B \cosh{\left(x \right)}\right)\, dx"," ",0,"Integral((-a*(cosh(x) - 1))**(3/2)*(A + B*cosh(x)), x)","F",0
92,0,0,0,0.000000," ","integrate((a-a*cosh(x))**(1/2)*(A+B*cosh(x)),x)","\int \sqrt{- a \left(\cosh{\left(x \right)} - 1\right)} \left(A + B \cosh{\left(x \right)}\right)\, dx"," ",0,"Integral(sqrt(-a*(cosh(x) - 1))*(A + B*cosh(x)), x)","F",0
93,1,15,0,0.336377," ","integrate((A+B*cosh(x))/(1+cosh(x)),x)","A \tanh{\left(\frac{x}{2} \right)} + B x - B \tanh{\left(\frac{x}{2} \right)}"," ",0,"A*tanh(x/2) + B*x - B*tanh(x/2)","A",0
94,1,36,0,0.611575," ","integrate((A+B*cosh(x))/(1+cosh(x))**2,x)","- \frac{A \tanh^{3}{\left(\frac{x}{2} \right)}}{6} + \frac{A \tanh{\left(\frac{x}{2} \right)}}{2} + \frac{B \tanh^{3}{\left(\frac{x}{2} \right)}}{6} + \frac{B \tanh{\left(\frac{x}{2} \right)}}{2}"," ",0,"-A*tanh(x/2)**3/6 + A*tanh(x/2)/2 + B*tanh(x/2)**3/6 + B*tanh(x/2)/2","A",0
95,1,46,0,1.198310," ","integrate((A+B*cosh(x))/(1+cosh(x))**3,x)","\frac{A \tanh^{5}{\left(\frac{x}{2} \right)}}{20} - \frac{A \tanh^{3}{\left(\frac{x}{2} \right)}}{6} + \frac{A \tanh{\left(\frac{x}{2} \right)}}{4} - \frac{B \tanh^{5}{\left(\frac{x}{2} \right)}}{20} + \frac{B \tanh{\left(\frac{x}{2} \right)}}{4}"," ",0,"A*tanh(x/2)**5/20 - A*tanh(x/2)**3/6 + A*tanh(x/2)/4 - B*tanh(x/2)**5/20 + B*tanh(x/2)/4","A",0
96,1,78,0,2.361946," ","integrate((A+B*cosh(x))/(1+cosh(x))**4,x)","- \frac{A \tanh^{7}{\left(\frac{x}{2} \right)}}{56} + \frac{3 A \tanh^{5}{\left(\frac{x}{2} \right)}}{40} - \frac{A \tanh^{3}{\left(\frac{x}{2} \right)}}{8} + \frac{A \tanh{\left(\frac{x}{2} \right)}}{8} + \frac{B \tanh^{7}{\left(\frac{x}{2} \right)}}{56} - \frac{B \tanh^{5}{\left(\frac{x}{2} \right)}}{40} - \frac{B \tanh^{3}{\left(\frac{x}{2} \right)}}{24} + \frac{B \tanh{\left(\frac{x}{2} \right)}}{8}"," ",0,"-A*tanh(x/2)**7/56 + 3*A*tanh(x/2)**5/40 - A*tanh(x/2)**3/8 + A*tanh(x/2)/8 + B*tanh(x/2)**7/56 - B*tanh(x/2)**5/40 - B*tanh(x/2)**3/24 + B*tanh(x/2)/8","A",0
97,1,15,0,0.487832," ","integrate((A+B*cosh(x))/(1-cosh(x)),x)","\frac{A}{\tanh{\left(\frac{x}{2} \right)}} - B x + \frac{B}{\tanh{\left(\frac{x}{2} \right)}}"," ",0,"A/tanh(x/2) - B*x + B/tanh(x/2)","A",0
98,1,36,0,0.842402," ","integrate((A+B*cosh(x))/(1-cosh(x))**2,x)","\frac{A}{2 \tanh{\left(\frac{x}{2} \right)}} - \frac{A}{6 \tanh^{3}{\left(\frac{x}{2} \right)}} - \frac{B}{2 \tanh{\left(\frac{x}{2} \right)}} - \frac{B}{6 \tanh^{3}{\left(\frac{x}{2} \right)}}"," ",0,"A/(2*tanh(x/2)) - A/(6*tanh(x/2)**3) - B/(2*tanh(x/2)) - B/(6*tanh(x/2)**3)","A",0
99,1,46,0,1.460696," ","integrate((A+B*cosh(x))/(1-cosh(x))**3,x)","\frac{A}{4 \tanh{\left(\frac{x}{2} \right)}} - \frac{A}{6 \tanh^{3}{\left(\frac{x}{2} \right)}} + \frac{A}{20 \tanh^{5}{\left(\frac{x}{2} \right)}} - \frac{B}{4 \tanh{\left(\frac{x}{2} \right)}} + \frac{B}{20 \tanh^{5}{\left(\frac{x}{2} \right)}}"," ",0,"A/(4*tanh(x/2)) - A/(6*tanh(x/2)**3) + A/(20*tanh(x/2)**5) - B/(4*tanh(x/2)) + B/(20*tanh(x/2)**5)","A",0
100,1,78,0,2.724808," ","integrate((A+B*cosh(x))/(1-cosh(x))**4,x)","\frac{A}{8 \tanh{\left(\frac{x}{2} \right)}} - \frac{A}{8 \tanh^{3}{\left(\frac{x}{2} \right)}} + \frac{3 A}{40 \tanh^{5}{\left(\frac{x}{2} \right)}} - \frac{A}{56 \tanh^{7}{\left(\frac{x}{2} \right)}} - \frac{B}{8 \tanh{\left(\frac{x}{2} \right)}} + \frac{B}{24 \tanh^{3}{\left(\frac{x}{2} \right)}} + \frac{B}{40 \tanh^{5}{\left(\frac{x}{2} \right)}} - \frac{B}{56 \tanh^{7}{\left(\frac{x}{2} \right)}}"," ",0,"A/(8*tanh(x/2)) - A/(8*tanh(x/2)**3) + 3*A/(40*tanh(x/2)**5) - A/(56*tanh(x/2)**7) - B/(8*tanh(x/2)) + B/(24*tanh(x/2)**3) + B/(40*tanh(x/2)**5) - B/(56*tanh(x/2)**7)","A",0
101,0,0,0,0.000000," ","integrate((A+B*cosh(x))/(a+a*cosh(x))**(1/2),x)","\int \frac{A + B \cosh{\left(x \right)}}{\sqrt{a \left(\cosh{\left(x \right)} + 1\right)}}\, dx"," ",0,"Integral((A + B*cosh(x))/sqrt(a*(cosh(x) + 1)), x)","F",0
102,0,0,0,0.000000," ","integrate((A+B*cosh(x))/(a+a*cosh(x))**(3/2),x)","\int \frac{A + B \cosh{\left(x \right)}}{\left(a \left(\cosh{\left(x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((A + B*cosh(x))/(a*(cosh(x) + 1))**(3/2), x)","F",0
103,-1,0,0,0.000000," ","integrate((A+B*cosh(x))/(a+a*cosh(x))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
104,0,0,0,0.000000," ","integrate((A+B*cosh(x))/(a-a*cosh(x))**(1/2),x)","\int \frac{A + B \cosh{\left(x \right)}}{\sqrt{- a \left(\cosh{\left(x \right)} - 1\right)}}\, dx"," ",0,"Integral((A + B*cosh(x))/sqrt(-a*(cosh(x) - 1)), x)","F",0
105,0,0,0,0.000000," ","integrate((A+B*cosh(x))/(a-a*cosh(x))**(3/2),x)","\int \frac{A + B \cosh{\left(x \right)}}{\left(- a \left(\cosh{\left(x \right)} - 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((A + B*cosh(x))/(-a*(cosh(x) - 1))**(3/2), x)","F",0
106,-1,0,0,0.000000," ","integrate((A+B*cosh(x))/(a-a*cosh(x))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
107,-1,0,0,0.000000," ","integrate((a+b*cosh(x))**(5/2)*(A+B*cosh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
108,0,0,0,0.000000," ","integrate((a+b*cosh(x))**(3/2)*(A+B*cosh(x)),x)","\int \left(A + B \cosh{\left(x \right)}\right) \left(a + b \cosh{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((A + B*cosh(x))*(a + b*cosh(x))**(3/2), x)","F",0
109,0,0,0,0.000000," ","integrate((a+b*cosh(x))**(1/2)*(A+B*cosh(x)),x)","\int \left(A + B \cosh{\left(x \right)}\right) \sqrt{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral((A + B*cosh(x))*sqrt(a + b*cosh(x)), x)","F",0
110,1,403,0,27.028848," ","integrate((A+B*cosh(x))/(a+b*cosh(x)),x)","\begin{cases} \tilde{\infty} \left(2 A \operatorname{atan}{\left(\tanh{\left(\frac{x}{2} \right)} \right)} + B x\right) & \text{for}\: a = 0 \wedge b = 0 \\- \frac{A}{b \tanh{\left(\frac{x}{2} \right)}} + \frac{B x}{b} - \frac{B}{b \tanh{\left(\frac{x}{2} \right)}} & \text{for}\: a = - b \\\frac{A x + B \sinh{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{A \tanh{\left(\frac{x}{2} \right)}}{b} + \frac{B x}{b} - \frac{B \tanh{\left(\frac{x}{2} \right)}}{b} & \text{for}\: a = b \\- \frac{A b \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{A b \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{B a x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{B a \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{B a \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{B b x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(2*A*atan(tanh(x/2)) + B*x), Eq(a, 0) & Eq(b, 0)), (-A/(b*tanh(x/2)) + B*x/b - B/(b*tanh(x/2)), Eq(a, -b)), ((A*x + B*sinh(x))/a, Eq(b, 0)), (A*tanh(x/2)/b + B*x/b - B*tanh(x/2)/b, Eq(a, b)), (-A*b*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) + A*b*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) + B*a*x*sqrt(a/(a - b) + b/(a - b))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) + B*a*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) - B*a*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) - B*b*x*sqrt(a/(a - b) + b/(a - b))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))), True))","A",0
111,-1,0,0,0.000000," ","integrate((A+B*cosh(x))/(a+b*cosh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
112,-1,0,0,0.000000," ","integrate((A+B*cosh(x))/(a+b*cosh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
113,-1,0,0,0.000000," ","integrate((A+B*cosh(x))/(a+b*cosh(x))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
114,1,170,0,28.168019," ","integrate((b*B/a+B*cosh(x))/(a+b*cosh(x)),x)","\begin{cases} \text{NaN} & \text{for}\: a = 0 \wedge b = 0 \\\frac{B x}{b} & \text{for}\: a = - b \\\frac{B \sinh{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{B x}{b} & \text{for}\: a = b \\\frac{B x}{b} + \frac{B \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{B \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{B \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{B \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((nan, Eq(a, 0) & Eq(b, 0)), (B*x/b, Eq(a, -b)), (B*sinh(x)/a, Eq(b, 0)), (B*x/b, Eq(a, b)), (B*x/b + B*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(b*sqrt(a/(a - b) + b/(a - b))) - B*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(b*sqrt(a/(a - b) + b/(a - b))) + B*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*sqrt(a/(a - b) + b/(a - b))) - B*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*sqrt(a/(a - b) + b/(a - b))), True))","A",0
115,1,3,0,0.295503," ","integrate((a*B/b+B*cosh(x))/(a+b*cosh(x)),x)","\frac{B x}{b}"," ",0,"B*x/b","A",0
116,1,26,0,146.491462," ","integrate((a+b*cosh(x))/(b+a*cosh(x))**2,x)","\frac{2 \tanh{\left(\frac{x}{2} \right)}}{a \tanh^{2}{\left(\frac{x}{2} \right)} + a - b \tanh^{2}{\left(\frac{x}{2} \right)} + b}"," ",0,"2*tanh(x/2)/(a*tanh(x/2)**2 + a - b*tanh(x/2)**2 + b)","B",0
117,1,44,0,0.793204," ","integrate((3+cosh(x))/(2-cosh(x)),x)","- x - \frac{5 \sqrt{3} \log{\left(\tanh{\left(\frac{x}{2} \right)} - \frac{\sqrt{3}}{3} \right)}}{3} + \frac{5 \sqrt{3} \log{\left(\tanh{\left(\frac{x}{2} \right)} + \frac{\sqrt{3}}{3} \right)}}{3}"," ",0,"-x - 5*sqrt(3)*log(tanh(x/2) - sqrt(3)/3)/3 + 5*sqrt(3)*log(tanh(x/2) + sqrt(3)/3)/3","A",0
118,0,0,0,0.000000," ","integrate((A+B*cosh(x))/(a+b*cosh(x))**(1/2),x)","\int \frac{A + B \cosh{\left(x \right)}}{\sqrt{a + b \cosh{\left(x \right)}}}\, dx"," ",0,"Integral((A + B*cosh(x))/sqrt(a + b*cosh(x)), x)","F",0
119,-1,0,0,0.000000," ","integrate((A+B*cosh(x))/(a+b*cosh(x))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
120,-1,0,0,0.000000," ","integrate((A+B*cosh(x))/(a+b*cosh(x))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
121,-1,0,0,0.000000," ","integrate((a*cosh(x)**2)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
122,-1,0,0,0.000000," ","integrate((a*cosh(x)**2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
123,-1,0,0,0.000000," ","integrate((a*cosh(x)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
124,1,19,0,0.450003," ","integrate((a*cosh(x)**2)**(1/2),x)","\frac{\sqrt{a} \sqrt{\cosh^{2}{\left(x \right)}} \sinh{\left(x \right)}}{\cosh{\left(x \right)}}"," ",0,"sqrt(a)*sqrt(cosh(x)**2)*sinh(x)/cosh(x)","A",0
125,0,0,0,0.000000," ","integrate(1/(a*cosh(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{a \cosh^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a*cosh(x)**2), x)","F",0
126,0,0,0,0.000000," ","integrate(1/(a*cosh(x)**2)**(3/2),x)","\int \frac{1}{\left(a \cosh^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a*cosh(x)**2)**(-3/2), x)","F",0
127,-1,0,0,0.000000," ","integrate(1/(a*cosh(x)**2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
128,-1,0,0,0.000000," ","integrate((a*cosh(x)**3)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
129,-1,0,0,0.000000," ","integrate((a*cosh(x)**3)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
130,-1,0,0,0.000000," ","integrate((a*cosh(x)**3)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,0,0,0,0.000000," ","integrate(1/(a*cosh(x)**3)**(1/2),x)","\int \frac{1}{\sqrt{a \cosh^{3}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a*cosh(x)**3), x)","F",0
132,-1,0,0,0.000000," ","integrate(1/(a*cosh(x)**3)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,-1,0,0,0.000000," ","integrate(1/(a*cosh(x)**3)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
134,-1,0,0,0.000000," ","integrate((a*cosh(x)**4)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
135,-1,0,0,0.000000," ","integrate((a*cosh(x)**4)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
136,-1,0,0,0.000000," ","integrate((a*cosh(x)**4)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
137,-1,0,0,0.000000," ","integrate(1/(a*cosh(x)**4)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
138,-1,0,0,0.000000," ","integrate(1/(a*cosh(x)**4)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
139,-1,0,0,0.000000," ","integrate(1/(a*cosh(x)**4)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
140,1,7,0,0.335126," ","integrate(sinh(x)/(1+cosh(x))**2,x)","- \frac{1}{\cosh{\left(x \right)} + 1}"," ",0,"-1/(cosh(x) + 1)","A",0
141,1,7,0,0.543417," ","integrate(sinh(x)/(1-cosh(x))**2,x)","- \frac{1}{\cosh{\left(x \right)} - 1}"," ",0,"-1/(cosh(x) - 1)","A",0
142,1,7,0,0.545323," ","integrate(sinh(x)**2/(1+cosh(x))**2,x)","x - 2 \tanh{\left(\frac{x}{2} \right)}"," ",0,"x - 2*tanh(x/2)","A",0
143,1,7,0,1.044986," ","integrate(sinh(x)**2/(1-cosh(x))**2,x)","x - \frac{2}{\tanh{\left(\frac{x}{2} \right)}}"," ",0,"x - 2/tanh(x/2)","A",0
144,1,58,0,0.518770," ","integrate(sinh(x)**3/(1+cosh(x))**2,x)","- \frac{2 \log{\left(\cosh{\left(x \right)} + 1 \right)} \cosh{\left(x \right)}}{\cosh{\left(x \right)} + 1} - \frac{2 \log{\left(\cosh{\left(x \right)} + 1 \right)}}{\cosh{\left(x \right)} + 1} - \frac{\sinh^{2}{\left(x \right)}}{\cosh{\left(x \right)} + 1} + \frac{2 \cosh^{2}{\left(x \right)}}{\cosh{\left(x \right)} + 1} - \frac{2}{\cosh{\left(x \right)} + 1}"," ",0,"-2*log(cosh(x) + 1)*cosh(x)/(cosh(x) + 1) - 2*log(cosh(x) + 1)/(cosh(x) + 1) - sinh(x)**2/(cosh(x) + 1) + 2*cosh(x)**2/(cosh(x) + 1) - 2/(cosh(x) + 1)","B",0
145,1,58,0,0.527585," ","integrate(sinh(x)**3/(1-cosh(x))**2,x)","\frac{2 \log{\left(\cosh{\left(x \right)} - 1 \right)} \cosh{\left(x \right)}}{\cosh{\left(x \right)} - 1} - \frac{2 \log{\left(\cosh{\left(x \right)} - 1 \right)}}{\cosh{\left(x \right)} - 1} - \frac{\sinh^{2}{\left(x \right)}}{\cosh{\left(x \right)} - 1} + \frac{2 \cosh^{2}{\left(x \right)}}{\cosh{\left(x \right)} - 1} - \frac{2}{\cosh{\left(x \right)} - 1}"," ",0,"2*log(cosh(x) - 1)*cosh(x)/(cosh(x) - 1) - 2*log(cosh(x) - 1)/(cosh(x) - 1) - sinh(x)**2/(cosh(x) - 1) + 2*cosh(x)**2/(cosh(x) - 1) - 2/(cosh(x) - 1)","B",0
146,1,15,0,0.634701," ","integrate(sinh(x)/(1+cosh(x))**3,x)","- \frac{1}{2 \cosh^{2}{\left(x \right)} + 4 \cosh{\left(x \right)} + 2}"," ",0,"-1/(2*cosh(x)**2 + 4*cosh(x) + 2)","A",0
147,1,14,0,0.582785," ","integrate(sinh(x)/(1-cosh(x))**3,x)","\frac{1}{2 \cosh^{2}{\left(x \right)} - 4 \cosh{\left(x \right)} + 2}"," ",0,"1/(2*cosh(x)**2 - 4*cosh(x) + 2)","A",0
148,1,7,0,0.959528," ","integrate(sinh(x)**2/(1+cosh(x))**3,x)","\frac{\tanh^{3}{\left(\frac{x}{2} \right)}}{3}"," ",0,"tanh(x/2)**3/3","A",0
149,1,8,0,1.492360," ","integrate(sinh(x)**2/(1-cosh(x))**3,x)","\frac{1}{3 \tanh^{3}{\left(\frac{x}{2} \right)}}"," ",0,"1/(3*tanh(x/2)**3)","A",0
150,1,126,0,0.590673," ","integrate(sinh(x)**3/(1+cosh(x))**3,x)","\frac{2 \log{\left(\cosh{\left(x \right)} + 1 \right)} \cosh^{2}{\left(x \right)}}{2 \cosh^{2}{\left(x \right)} + 4 \cosh{\left(x \right)} + 2} + \frac{4 \log{\left(\cosh{\left(x \right)} + 1 \right)} \cosh{\left(x \right)}}{2 \cosh^{2}{\left(x \right)} + 4 \cosh{\left(x \right)} + 2} + \frac{2 \log{\left(\cosh{\left(x \right)} + 1 \right)}}{2 \cosh^{2}{\left(x \right)} + 4 \cosh{\left(x \right)} + 2} - \frac{\sinh^{2}{\left(x \right)}}{2 \cosh^{2}{\left(x \right)} + 4 \cosh{\left(x \right)} + 2} + \frac{2 \cosh{\left(x \right)}}{2 \cosh^{2}{\left(x \right)} + 4 \cosh{\left(x \right)} + 2} + \frac{2}{2 \cosh^{2}{\left(x \right)} + 4 \cosh{\left(x \right)} + 2}"," ",0,"2*log(cosh(x) + 1)*cosh(x)**2/(2*cosh(x)**2 + 4*cosh(x) + 2) + 4*log(cosh(x) + 1)*cosh(x)/(2*cosh(x)**2 + 4*cosh(x) + 2) + 2*log(cosh(x) + 1)/(2*cosh(x)**2 + 4*cosh(x) + 2) - sinh(x)**2/(2*cosh(x)**2 + 4*cosh(x) + 2) + 2*cosh(x)/(2*cosh(x)**2 + 4*cosh(x) + 2) + 2/(2*cosh(x)**2 + 4*cosh(x) + 2)","B",0
151,1,126,0,0.598059," ","integrate(sinh(x)**3/(1-cosh(x))**3,x)","- \frac{2 \log{\left(\cosh{\left(x \right)} - 1 \right)} \cosh^{2}{\left(x \right)}}{2 \cosh^{2}{\left(x \right)} - 4 \cosh{\left(x \right)} + 2} + \frac{4 \log{\left(\cosh{\left(x \right)} - 1 \right)} \cosh{\left(x \right)}}{2 \cosh^{2}{\left(x \right)} - 4 \cosh{\left(x \right)} + 2} - \frac{2 \log{\left(\cosh{\left(x \right)} - 1 \right)}}{2 \cosh^{2}{\left(x \right)} - 4 \cosh{\left(x \right)} + 2} + \frac{\sinh^{2}{\left(x \right)}}{2 \cosh^{2}{\left(x \right)} - 4 \cosh{\left(x \right)} + 2} + \frac{2 \cosh{\left(x \right)}}{2 \cosh^{2}{\left(x \right)} - 4 \cosh{\left(x \right)} + 2} - \frac{2}{2 \cosh^{2}{\left(x \right)} - 4 \cosh{\left(x \right)} + 2}"," ",0,"-2*log(cosh(x) - 1)*cosh(x)**2/(2*cosh(x)**2 - 4*cosh(x) + 2) + 4*log(cosh(x) - 1)*cosh(x)/(2*cosh(x)**2 - 4*cosh(x) + 2) - 2*log(cosh(x) - 1)/(2*cosh(x)**2 - 4*cosh(x) + 2) + sinh(x)**2/(2*cosh(x)**2 - 4*cosh(x) + 2) + 2*cosh(x)/(2*cosh(x)**2 - 4*cosh(x) + 2) - 2/(2*cosh(x)**2 - 4*cosh(x) + 2)","B",0
152,1,1253,0,8.767210," ","integrate(sinh(x)**8/(a+a*cosh(x)),x)","\frac{105 x \tanh^{14}{\left(\frac{x}{2} \right)}}{336 a \tanh^{14}{\left(\frac{x}{2} \right)} - 2352 a \tanh^{12}{\left(\frac{x}{2} \right)} + 7056 a \tanh^{10}{\left(\frac{x}{2} \right)} - 11760 a \tanh^{8}{\left(\frac{x}{2} \right)} + 11760 a \tanh^{6}{\left(\frac{x}{2} \right)} - 7056 a \tanh^{4}{\left(\frac{x}{2} \right)} + 2352 a \tanh^{2}{\left(\frac{x}{2} \right)} - 336 a} - \frac{735 x \tanh^{12}{\left(\frac{x}{2} \right)}}{336 a \tanh^{14}{\left(\frac{x}{2} \right)} - 2352 a \tanh^{12}{\left(\frac{x}{2} \right)} + 7056 a \tanh^{10}{\left(\frac{x}{2} \right)} - 11760 a \tanh^{8}{\left(\frac{x}{2} \right)} + 11760 a \tanh^{6}{\left(\frac{x}{2} \right)} - 7056 a \tanh^{4}{\left(\frac{x}{2} \right)} + 2352 a \tanh^{2}{\left(\frac{x}{2} \right)} - 336 a} + \frac{2205 x \tanh^{10}{\left(\frac{x}{2} \right)}}{336 a \tanh^{14}{\left(\frac{x}{2} \right)} - 2352 a \tanh^{12}{\left(\frac{x}{2} \right)} + 7056 a \tanh^{10}{\left(\frac{x}{2} \right)} - 11760 a \tanh^{8}{\left(\frac{x}{2} \right)} + 11760 a \tanh^{6}{\left(\frac{x}{2} \right)} - 7056 a \tanh^{4}{\left(\frac{x}{2} \right)} + 2352 a \tanh^{2}{\left(\frac{x}{2} \right)} - 336 a} - \frac{3675 x \tanh^{8}{\left(\frac{x}{2} \right)}}{336 a \tanh^{14}{\left(\frac{x}{2} \right)} - 2352 a \tanh^{12}{\left(\frac{x}{2} \right)} + 7056 a \tanh^{10}{\left(\frac{x}{2} \right)} - 11760 a \tanh^{8}{\left(\frac{x}{2} \right)} + 11760 a \tanh^{6}{\left(\frac{x}{2} \right)} - 7056 a \tanh^{4}{\left(\frac{x}{2} \right)} + 2352 a \tanh^{2}{\left(\frac{x}{2} \right)} - 336 a} + \frac{3675 x \tanh^{6}{\left(\frac{x}{2} \right)}}{336 a \tanh^{14}{\left(\frac{x}{2} \right)} - 2352 a \tanh^{12}{\left(\frac{x}{2} \right)} + 7056 a \tanh^{10}{\left(\frac{x}{2} \right)} - 11760 a \tanh^{8}{\left(\frac{x}{2} \right)} + 11760 a \tanh^{6}{\left(\frac{x}{2} \right)} - 7056 a \tanh^{4}{\left(\frac{x}{2} \right)} + 2352 a \tanh^{2}{\left(\frac{x}{2} \right)} - 336 a} - \frac{2205 x \tanh^{4}{\left(\frac{x}{2} \right)}}{336 a \tanh^{14}{\left(\frac{x}{2} \right)} - 2352 a \tanh^{12}{\left(\frac{x}{2} \right)} + 7056 a \tanh^{10}{\left(\frac{x}{2} \right)} - 11760 a \tanh^{8}{\left(\frac{x}{2} \right)} + 11760 a \tanh^{6}{\left(\frac{x}{2} \right)} - 7056 a \tanh^{4}{\left(\frac{x}{2} \right)} + 2352 a \tanh^{2}{\left(\frac{x}{2} \right)} - 336 a} + \frac{735 x \tanh^{2}{\left(\frac{x}{2} \right)}}{336 a \tanh^{14}{\left(\frac{x}{2} \right)} - 2352 a \tanh^{12}{\left(\frac{x}{2} \right)} + 7056 a \tanh^{10}{\left(\frac{x}{2} \right)} - 11760 a \tanh^{8}{\left(\frac{x}{2} \right)} + 11760 a \tanh^{6}{\left(\frac{x}{2} \right)} - 7056 a \tanh^{4}{\left(\frac{x}{2} \right)} + 2352 a \tanh^{2}{\left(\frac{x}{2} \right)} - 336 a} - \frac{105 x}{336 a \tanh^{14}{\left(\frac{x}{2} \right)} - 2352 a \tanh^{12}{\left(\frac{x}{2} \right)} + 7056 a \tanh^{10}{\left(\frac{x}{2} \right)} - 11760 a \tanh^{8}{\left(\frac{x}{2} \right)} + 11760 a \tanh^{6}{\left(\frac{x}{2} \right)} - 7056 a \tanh^{4}{\left(\frac{x}{2} \right)} + 2352 a \tanh^{2}{\left(\frac{x}{2} \right)} - 336 a} - \frac{210 \tanh^{13}{\left(\frac{x}{2} \right)}}{336 a \tanh^{14}{\left(\frac{x}{2} \right)} - 2352 a \tanh^{12}{\left(\frac{x}{2} \right)} + 7056 a \tanh^{10}{\left(\frac{x}{2} \right)} - 11760 a \tanh^{8}{\left(\frac{x}{2} \right)} + 11760 a \tanh^{6}{\left(\frac{x}{2} \right)} - 7056 a \tanh^{4}{\left(\frac{x}{2} \right)} + 2352 a \tanh^{2}{\left(\frac{x}{2} \right)} - 336 a} + \frac{1400 \tanh^{11}{\left(\frac{x}{2} \right)}}{336 a \tanh^{14}{\left(\frac{x}{2} \right)} - 2352 a \tanh^{12}{\left(\frac{x}{2} \right)} + 7056 a \tanh^{10}{\left(\frac{x}{2} \right)} - 11760 a \tanh^{8}{\left(\frac{x}{2} \right)} + 11760 a \tanh^{6}{\left(\frac{x}{2} \right)} - 7056 a \tanh^{4}{\left(\frac{x}{2} \right)} + 2352 a \tanh^{2}{\left(\frac{x}{2} \right)} - 336 a} - \frac{3962 \tanh^{9}{\left(\frac{x}{2} \right)}}{336 a \tanh^{14}{\left(\frac{x}{2} \right)} - 2352 a \tanh^{12}{\left(\frac{x}{2} \right)} + 7056 a \tanh^{10}{\left(\frac{x}{2} \right)} - 11760 a \tanh^{8}{\left(\frac{x}{2} \right)} + 11760 a \tanh^{6}{\left(\frac{x}{2} \right)} - 7056 a \tanh^{4}{\left(\frac{x}{2} \right)} + 2352 a \tanh^{2}{\left(\frac{x}{2} \right)} - 336 a} - \frac{6144 \tanh^{7}{\left(\frac{x}{2} \right)}}{336 a \tanh^{14}{\left(\frac{x}{2} \right)} - 2352 a \tanh^{12}{\left(\frac{x}{2} \right)} + 7056 a \tanh^{10}{\left(\frac{x}{2} \right)} - 11760 a \tanh^{8}{\left(\frac{x}{2} \right)} + 11760 a \tanh^{6}{\left(\frac{x}{2} \right)} - 7056 a \tanh^{4}{\left(\frac{x}{2} \right)} + 2352 a \tanh^{2}{\left(\frac{x}{2} \right)} - 336 a} + \frac{3962 \tanh^{5}{\left(\frac{x}{2} \right)}}{336 a \tanh^{14}{\left(\frac{x}{2} \right)} - 2352 a \tanh^{12}{\left(\frac{x}{2} \right)} + 7056 a \tanh^{10}{\left(\frac{x}{2} \right)} - 11760 a \tanh^{8}{\left(\frac{x}{2} \right)} + 11760 a \tanh^{6}{\left(\frac{x}{2} \right)} - 7056 a \tanh^{4}{\left(\frac{x}{2} \right)} + 2352 a \tanh^{2}{\left(\frac{x}{2} \right)} - 336 a} - \frac{1400 \tanh^{3}{\left(\frac{x}{2} \right)}}{336 a \tanh^{14}{\left(\frac{x}{2} \right)} - 2352 a \tanh^{12}{\left(\frac{x}{2} \right)} + 7056 a \tanh^{10}{\left(\frac{x}{2} \right)} - 11760 a \tanh^{8}{\left(\frac{x}{2} \right)} + 11760 a \tanh^{6}{\left(\frac{x}{2} \right)} - 7056 a \tanh^{4}{\left(\frac{x}{2} \right)} + 2352 a \tanh^{2}{\left(\frac{x}{2} \right)} - 336 a} + \frac{210 \tanh{\left(\frac{x}{2} \right)}}{336 a \tanh^{14}{\left(\frac{x}{2} \right)} - 2352 a \tanh^{12}{\left(\frac{x}{2} \right)} + 7056 a \tanh^{10}{\left(\frac{x}{2} \right)} - 11760 a \tanh^{8}{\left(\frac{x}{2} \right)} + 11760 a \tanh^{6}{\left(\frac{x}{2} \right)} - 7056 a \tanh^{4}{\left(\frac{x}{2} \right)} + 2352 a \tanh^{2}{\left(\frac{x}{2} \right)} - 336 a}"," ",0,"105*x*tanh(x/2)**14/(336*a*tanh(x/2)**14 - 2352*a*tanh(x/2)**12 + 7056*a*tanh(x/2)**10 - 11760*a*tanh(x/2)**8 + 11760*a*tanh(x/2)**6 - 7056*a*tanh(x/2)**4 + 2352*a*tanh(x/2)**2 - 336*a) - 735*x*tanh(x/2)**12/(336*a*tanh(x/2)**14 - 2352*a*tanh(x/2)**12 + 7056*a*tanh(x/2)**10 - 11760*a*tanh(x/2)**8 + 11760*a*tanh(x/2)**6 - 7056*a*tanh(x/2)**4 + 2352*a*tanh(x/2)**2 - 336*a) + 2205*x*tanh(x/2)**10/(336*a*tanh(x/2)**14 - 2352*a*tanh(x/2)**12 + 7056*a*tanh(x/2)**10 - 11760*a*tanh(x/2)**8 + 11760*a*tanh(x/2)**6 - 7056*a*tanh(x/2)**4 + 2352*a*tanh(x/2)**2 - 336*a) - 3675*x*tanh(x/2)**8/(336*a*tanh(x/2)**14 - 2352*a*tanh(x/2)**12 + 7056*a*tanh(x/2)**10 - 11760*a*tanh(x/2)**8 + 11760*a*tanh(x/2)**6 - 7056*a*tanh(x/2)**4 + 2352*a*tanh(x/2)**2 - 336*a) + 3675*x*tanh(x/2)**6/(336*a*tanh(x/2)**14 - 2352*a*tanh(x/2)**12 + 7056*a*tanh(x/2)**10 - 11760*a*tanh(x/2)**8 + 11760*a*tanh(x/2)**6 - 7056*a*tanh(x/2)**4 + 2352*a*tanh(x/2)**2 - 336*a) - 2205*x*tanh(x/2)**4/(336*a*tanh(x/2)**14 - 2352*a*tanh(x/2)**12 + 7056*a*tanh(x/2)**10 - 11760*a*tanh(x/2)**8 + 11760*a*tanh(x/2)**6 - 7056*a*tanh(x/2)**4 + 2352*a*tanh(x/2)**2 - 336*a) + 735*x*tanh(x/2)**2/(336*a*tanh(x/2)**14 - 2352*a*tanh(x/2)**12 + 7056*a*tanh(x/2)**10 - 11760*a*tanh(x/2)**8 + 11760*a*tanh(x/2)**6 - 7056*a*tanh(x/2)**4 + 2352*a*tanh(x/2)**2 - 336*a) - 105*x/(336*a*tanh(x/2)**14 - 2352*a*tanh(x/2)**12 + 7056*a*tanh(x/2)**10 - 11760*a*tanh(x/2)**8 + 11760*a*tanh(x/2)**6 - 7056*a*tanh(x/2)**4 + 2352*a*tanh(x/2)**2 - 336*a) - 210*tanh(x/2)**13/(336*a*tanh(x/2)**14 - 2352*a*tanh(x/2)**12 + 7056*a*tanh(x/2)**10 - 11760*a*tanh(x/2)**8 + 11760*a*tanh(x/2)**6 - 7056*a*tanh(x/2)**4 + 2352*a*tanh(x/2)**2 - 336*a) + 1400*tanh(x/2)**11/(336*a*tanh(x/2)**14 - 2352*a*tanh(x/2)**12 + 7056*a*tanh(x/2)**10 - 11760*a*tanh(x/2)**8 + 11760*a*tanh(x/2)**6 - 7056*a*tanh(x/2)**4 + 2352*a*tanh(x/2)**2 - 336*a) - 3962*tanh(x/2)**9/(336*a*tanh(x/2)**14 - 2352*a*tanh(x/2)**12 + 7056*a*tanh(x/2)**10 - 11760*a*tanh(x/2)**8 + 11760*a*tanh(x/2)**6 - 7056*a*tanh(x/2)**4 + 2352*a*tanh(x/2)**2 - 336*a) - 6144*tanh(x/2)**7/(336*a*tanh(x/2)**14 - 2352*a*tanh(x/2)**12 + 7056*a*tanh(x/2)**10 - 11760*a*tanh(x/2)**8 + 11760*a*tanh(x/2)**6 - 7056*a*tanh(x/2)**4 + 2352*a*tanh(x/2)**2 - 336*a) + 3962*tanh(x/2)**5/(336*a*tanh(x/2)**14 - 2352*a*tanh(x/2)**12 + 7056*a*tanh(x/2)**10 - 11760*a*tanh(x/2)**8 + 11760*a*tanh(x/2)**6 - 7056*a*tanh(x/2)**4 + 2352*a*tanh(x/2)**2 - 336*a) - 1400*tanh(x/2)**3/(336*a*tanh(x/2)**14 - 2352*a*tanh(x/2)**12 + 7056*a*tanh(x/2)**10 - 11760*a*tanh(x/2)**8 + 11760*a*tanh(x/2)**6 - 7056*a*tanh(x/2)**4 + 2352*a*tanh(x/2)**2 - 336*a) + 210*tanh(x/2)/(336*a*tanh(x/2)**14 - 2352*a*tanh(x/2)**12 + 7056*a*tanh(x/2)**10 - 11760*a*tanh(x/2)**8 + 11760*a*tanh(x/2)**6 - 7056*a*tanh(x/2)**4 + 2352*a*tanh(x/2)**2 - 336*a)","B",0
153,1,284,0,5.623479," ","integrate(sinh(x)**7/(a+a*cosh(x)),x)","\frac{320 \tanh^{6}{\left(\frac{x}{2} \right)}}{15 a \tanh^{12}{\left(\frac{x}{2} \right)} - 90 a \tanh^{10}{\left(\frac{x}{2} \right)} + 225 a \tanh^{8}{\left(\frac{x}{2} \right)} - 300 a \tanh^{6}{\left(\frac{x}{2} \right)} + 225 a \tanh^{4}{\left(\frac{x}{2} \right)} - 90 a \tanh^{2}{\left(\frac{x}{2} \right)} + 15 a} - \frac{240 \tanh^{4}{\left(\frac{x}{2} \right)}}{15 a \tanh^{12}{\left(\frac{x}{2} \right)} - 90 a \tanh^{10}{\left(\frac{x}{2} \right)} + 225 a \tanh^{8}{\left(\frac{x}{2} \right)} - 300 a \tanh^{6}{\left(\frac{x}{2} \right)} + 225 a \tanh^{4}{\left(\frac{x}{2} \right)} - 90 a \tanh^{2}{\left(\frac{x}{2} \right)} + 15 a} + \frac{96 \tanh^{2}{\left(\frac{x}{2} \right)}}{15 a \tanh^{12}{\left(\frac{x}{2} \right)} - 90 a \tanh^{10}{\left(\frac{x}{2} \right)} + 225 a \tanh^{8}{\left(\frac{x}{2} \right)} - 300 a \tanh^{6}{\left(\frac{x}{2} \right)} + 225 a \tanh^{4}{\left(\frac{x}{2} \right)} - 90 a \tanh^{2}{\left(\frac{x}{2} \right)} + 15 a} - \frac{16}{15 a \tanh^{12}{\left(\frac{x}{2} \right)} - 90 a \tanh^{10}{\left(\frac{x}{2} \right)} + 225 a \tanh^{8}{\left(\frac{x}{2} \right)} - 300 a \tanh^{6}{\left(\frac{x}{2} \right)} + 225 a \tanh^{4}{\left(\frac{x}{2} \right)} - 90 a \tanh^{2}{\left(\frac{x}{2} \right)} + 15 a}"," ",0,"320*tanh(x/2)**6/(15*a*tanh(x/2)**12 - 90*a*tanh(x/2)**10 + 225*a*tanh(x/2)**8 - 300*a*tanh(x/2)**6 + 225*a*tanh(x/2)**4 - 90*a*tanh(x/2)**2 + 15*a) - 240*tanh(x/2)**4/(15*a*tanh(x/2)**12 - 90*a*tanh(x/2)**10 + 225*a*tanh(x/2)**8 - 300*a*tanh(x/2)**6 + 225*a*tanh(x/2)**4 - 90*a*tanh(x/2)**2 + 15*a) + 96*tanh(x/2)**2/(15*a*tanh(x/2)**12 - 90*a*tanh(x/2)**10 + 225*a*tanh(x/2)**8 - 300*a*tanh(x/2)**6 + 225*a*tanh(x/2)**4 - 90*a*tanh(x/2)**2 + 15*a) - 16/(15*a*tanh(x/2)**12 - 90*a*tanh(x/2)**10 + 225*a*tanh(x/2)**8 - 300*a*tanh(x/2)**6 + 225*a*tanh(x/2)**4 - 90*a*tanh(x/2)**2 + 15*a)","B",0
154,1,692,0,3.712215," ","integrate(sinh(x)**6/(a+a*cosh(x)),x)","- \frac{15 x \tanh^{10}{\left(\frac{x}{2} \right)}}{40 a \tanh^{10}{\left(\frac{x}{2} \right)} - 200 a \tanh^{8}{\left(\frac{x}{2} \right)} + 400 a \tanh^{6}{\left(\frac{x}{2} \right)} - 400 a \tanh^{4}{\left(\frac{x}{2} \right)} + 200 a \tanh^{2}{\left(\frac{x}{2} \right)} - 40 a} + \frac{75 x \tanh^{8}{\left(\frac{x}{2} \right)}}{40 a \tanh^{10}{\left(\frac{x}{2} \right)} - 200 a \tanh^{8}{\left(\frac{x}{2} \right)} + 400 a \tanh^{6}{\left(\frac{x}{2} \right)} - 400 a \tanh^{4}{\left(\frac{x}{2} \right)} + 200 a \tanh^{2}{\left(\frac{x}{2} \right)} - 40 a} - \frac{150 x \tanh^{6}{\left(\frac{x}{2} \right)}}{40 a \tanh^{10}{\left(\frac{x}{2} \right)} - 200 a \tanh^{8}{\left(\frac{x}{2} \right)} + 400 a \tanh^{6}{\left(\frac{x}{2} \right)} - 400 a \tanh^{4}{\left(\frac{x}{2} \right)} + 200 a \tanh^{2}{\left(\frac{x}{2} \right)} - 40 a} + \frac{150 x \tanh^{4}{\left(\frac{x}{2} \right)}}{40 a \tanh^{10}{\left(\frac{x}{2} \right)} - 200 a \tanh^{8}{\left(\frac{x}{2} \right)} + 400 a \tanh^{6}{\left(\frac{x}{2} \right)} - 400 a \tanh^{4}{\left(\frac{x}{2} \right)} + 200 a \tanh^{2}{\left(\frac{x}{2} \right)} - 40 a} - \frac{75 x \tanh^{2}{\left(\frac{x}{2} \right)}}{40 a \tanh^{10}{\left(\frac{x}{2} \right)} - 200 a \tanh^{8}{\left(\frac{x}{2} \right)} + 400 a \tanh^{6}{\left(\frac{x}{2} \right)} - 400 a \tanh^{4}{\left(\frac{x}{2} \right)} + 200 a \tanh^{2}{\left(\frac{x}{2} \right)} - 40 a} + \frac{15 x}{40 a \tanh^{10}{\left(\frac{x}{2} \right)} - 200 a \tanh^{8}{\left(\frac{x}{2} \right)} + 400 a \tanh^{6}{\left(\frac{x}{2} \right)} - 400 a \tanh^{4}{\left(\frac{x}{2} \right)} + 200 a \tanh^{2}{\left(\frac{x}{2} \right)} - 40 a} + \frac{30 \tanh^{9}{\left(\frac{x}{2} \right)}}{40 a \tanh^{10}{\left(\frac{x}{2} \right)} - 200 a \tanh^{8}{\left(\frac{x}{2} \right)} + 400 a \tanh^{6}{\left(\frac{x}{2} \right)} - 400 a \tanh^{4}{\left(\frac{x}{2} \right)} + 200 a \tanh^{2}{\left(\frac{x}{2} \right)} - 40 a} - \frac{140 \tanh^{7}{\left(\frac{x}{2} \right)}}{40 a \tanh^{10}{\left(\frac{x}{2} \right)} - 200 a \tanh^{8}{\left(\frac{x}{2} \right)} + 400 a \tanh^{6}{\left(\frac{x}{2} \right)} - 400 a \tanh^{4}{\left(\frac{x}{2} \right)} + 200 a \tanh^{2}{\left(\frac{x}{2} \right)} - 40 a} - \frac{256 \tanh^{5}{\left(\frac{x}{2} \right)}}{40 a \tanh^{10}{\left(\frac{x}{2} \right)} - 200 a \tanh^{8}{\left(\frac{x}{2} \right)} + 400 a \tanh^{6}{\left(\frac{x}{2} \right)} - 400 a \tanh^{4}{\left(\frac{x}{2} \right)} + 200 a \tanh^{2}{\left(\frac{x}{2} \right)} - 40 a} + \frac{140 \tanh^{3}{\left(\frac{x}{2} \right)}}{40 a \tanh^{10}{\left(\frac{x}{2} \right)} - 200 a \tanh^{8}{\left(\frac{x}{2} \right)} + 400 a \tanh^{6}{\left(\frac{x}{2} \right)} - 400 a \tanh^{4}{\left(\frac{x}{2} \right)} + 200 a \tanh^{2}{\left(\frac{x}{2} \right)} - 40 a} - \frac{30 \tanh{\left(\frac{x}{2} \right)}}{40 a \tanh^{10}{\left(\frac{x}{2} \right)} - 200 a \tanh^{8}{\left(\frac{x}{2} \right)} + 400 a \tanh^{6}{\left(\frac{x}{2} \right)} - 400 a \tanh^{4}{\left(\frac{x}{2} \right)} + 200 a \tanh^{2}{\left(\frac{x}{2} \right)} - 40 a}"," ",0,"-15*x*tanh(x/2)**10/(40*a*tanh(x/2)**10 - 200*a*tanh(x/2)**8 + 400*a*tanh(x/2)**6 - 400*a*tanh(x/2)**4 + 200*a*tanh(x/2)**2 - 40*a) + 75*x*tanh(x/2)**8/(40*a*tanh(x/2)**10 - 200*a*tanh(x/2)**8 + 400*a*tanh(x/2)**6 - 400*a*tanh(x/2)**4 + 200*a*tanh(x/2)**2 - 40*a) - 150*x*tanh(x/2)**6/(40*a*tanh(x/2)**10 - 200*a*tanh(x/2)**8 + 400*a*tanh(x/2)**6 - 400*a*tanh(x/2)**4 + 200*a*tanh(x/2)**2 - 40*a) + 150*x*tanh(x/2)**4/(40*a*tanh(x/2)**10 - 200*a*tanh(x/2)**8 + 400*a*tanh(x/2)**6 - 400*a*tanh(x/2)**4 + 200*a*tanh(x/2)**2 - 40*a) - 75*x*tanh(x/2)**2/(40*a*tanh(x/2)**10 - 200*a*tanh(x/2)**8 + 400*a*tanh(x/2)**6 - 400*a*tanh(x/2)**4 + 200*a*tanh(x/2)**2 - 40*a) + 15*x/(40*a*tanh(x/2)**10 - 200*a*tanh(x/2)**8 + 400*a*tanh(x/2)**6 - 400*a*tanh(x/2)**4 + 200*a*tanh(x/2)**2 - 40*a) + 30*tanh(x/2)**9/(40*a*tanh(x/2)**10 - 200*a*tanh(x/2)**8 + 400*a*tanh(x/2)**6 - 400*a*tanh(x/2)**4 + 200*a*tanh(x/2)**2 - 40*a) - 140*tanh(x/2)**7/(40*a*tanh(x/2)**10 - 200*a*tanh(x/2)**8 + 400*a*tanh(x/2)**6 - 400*a*tanh(x/2)**4 + 200*a*tanh(x/2)**2 - 40*a) - 256*tanh(x/2)**5/(40*a*tanh(x/2)**10 - 200*a*tanh(x/2)**8 + 400*a*tanh(x/2)**6 - 400*a*tanh(x/2)**4 + 200*a*tanh(x/2)**2 - 40*a) + 140*tanh(x/2)**3/(40*a*tanh(x/2)**10 - 200*a*tanh(x/2)**8 + 400*a*tanh(x/2)**6 - 400*a*tanh(x/2)**4 + 200*a*tanh(x/2)**2 - 40*a) - 30*tanh(x/2)/(40*a*tanh(x/2)**10 - 200*a*tanh(x/2)**8 + 400*a*tanh(x/2)**6 - 400*a*tanh(x/2)**4 + 200*a*tanh(x/2)**2 - 40*a)","B",0
155,1,150,0,2.220245," ","integrate(sinh(x)**5/(a+a*cosh(x)),x)","\frac{24 \tanh^{4}{\left(\frac{x}{2} \right)}}{3 a \tanh^{8}{\left(\frac{x}{2} \right)} - 12 a \tanh^{6}{\left(\frac{x}{2} \right)} + 18 a \tanh^{4}{\left(\frac{x}{2} \right)} - 12 a \tanh^{2}{\left(\frac{x}{2} \right)} + 3 a} - \frac{16 \tanh^{2}{\left(\frac{x}{2} \right)}}{3 a \tanh^{8}{\left(\frac{x}{2} \right)} - 12 a \tanh^{6}{\left(\frac{x}{2} \right)} + 18 a \tanh^{4}{\left(\frac{x}{2} \right)} - 12 a \tanh^{2}{\left(\frac{x}{2} \right)} + 3 a} + \frac{4}{3 a \tanh^{8}{\left(\frac{x}{2} \right)} - 12 a \tanh^{6}{\left(\frac{x}{2} \right)} + 18 a \tanh^{4}{\left(\frac{x}{2} \right)} - 12 a \tanh^{2}{\left(\frac{x}{2} \right)} + 3 a}"," ",0,"24*tanh(x/2)**4/(3*a*tanh(x/2)**8 - 12*a*tanh(x/2)**6 + 18*a*tanh(x/2)**4 - 12*a*tanh(x/2)**2 + 3*a) - 16*tanh(x/2)**2/(3*a*tanh(x/2)**8 - 12*a*tanh(x/2)**6 + 18*a*tanh(x/2)**4 - 12*a*tanh(x/2)**2 + 3*a) + 4/(3*a*tanh(x/2)**8 - 12*a*tanh(x/2)**6 + 18*a*tanh(x/2)**4 - 12*a*tanh(x/2)**2 + 3*a)","B",0
156,1,294,0,1.302762," ","integrate(sinh(x)**4/(a+a*cosh(x)),x)","\frac{3 x \tanh^{6}{\left(\frac{x}{2} \right)}}{6 a \tanh^{6}{\left(\frac{x}{2} \right)} - 18 a \tanh^{4}{\left(\frac{x}{2} \right)} + 18 a \tanh^{2}{\left(\frac{x}{2} \right)} - 6 a} - \frac{9 x \tanh^{4}{\left(\frac{x}{2} \right)}}{6 a \tanh^{6}{\left(\frac{x}{2} \right)} - 18 a \tanh^{4}{\left(\frac{x}{2} \right)} + 18 a \tanh^{2}{\left(\frac{x}{2} \right)} - 6 a} + \frac{9 x \tanh^{2}{\left(\frac{x}{2} \right)}}{6 a \tanh^{6}{\left(\frac{x}{2} \right)} - 18 a \tanh^{4}{\left(\frac{x}{2} \right)} + 18 a \tanh^{2}{\left(\frac{x}{2} \right)} - 6 a} - \frac{3 x}{6 a \tanh^{6}{\left(\frac{x}{2} \right)} - 18 a \tanh^{4}{\left(\frac{x}{2} \right)} + 18 a \tanh^{2}{\left(\frac{x}{2} \right)} - 6 a} - \frac{6 \tanh^{5}{\left(\frac{x}{2} \right)}}{6 a \tanh^{6}{\left(\frac{x}{2} \right)} - 18 a \tanh^{4}{\left(\frac{x}{2} \right)} + 18 a \tanh^{2}{\left(\frac{x}{2} \right)} - 6 a} - \frac{16 \tanh^{3}{\left(\frac{x}{2} \right)}}{6 a \tanh^{6}{\left(\frac{x}{2} \right)} - 18 a \tanh^{4}{\left(\frac{x}{2} \right)} + 18 a \tanh^{2}{\left(\frac{x}{2} \right)} - 6 a} + \frac{6 \tanh{\left(\frac{x}{2} \right)}}{6 a \tanh^{6}{\left(\frac{x}{2} \right)} - 18 a \tanh^{4}{\left(\frac{x}{2} \right)} + 18 a \tanh^{2}{\left(\frac{x}{2} \right)} - 6 a}"," ",0,"3*x*tanh(x/2)**6/(6*a*tanh(x/2)**6 - 18*a*tanh(x/2)**4 + 18*a*tanh(x/2)**2 - 6*a) - 9*x*tanh(x/2)**4/(6*a*tanh(x/2)**6 - 18*a*tanh(x/2)**4 + 18*a*tanh(x/2)**2 - 6*a) + 9*x*tanh(x/2)**2/(6*a*tanh(x/2)**6 - 18*a*tanh(x/2)**4 + 18*a*tanh(x/2)**2 - 6*a) - 3*x/(6*a*tanh(x/2)**6 - 18*a*tanh(x/2)**4 + 18*a*tanh(x/2)**2 - 6*a) - 6*tanh(x/2)**5/(6*a*tanh(x/2)**6 - 18*a*tanh(x/2)**4 + 18*a*tanh(x/2)**2 - 6*a) - 16*tanh(x/2)**3/(6*a*tanh(x/2)**6 - 18*a*tanh(x/2)**4 + 18*a*tanh(x/2)**2 - 6*a) + 6*tanh(x/2)/(6*a*tanh(x/2)**6 - 18*a*tanh(x/2)**4 + 18*a*tanh(x/2)**2 - 6*a)","B",0
157,1,49,0,0.734177," ","integrate(sinh(x)**3/(a+a*cosh(x)),x)","\frac{4 \tanh^{2}{\left(\frac{x}{2} \right)}}{a \tanh^{4}{\left(\frac{x}{2} \right)} - 2 a \tanh^{2}{\left(\frac{x}{2} \right)} + a} - \frac{2}{a \tanh^{4}{\left(\frac{x}{2} \right)} - 2 a \tanh^{2}{\left(\frac{x}{2} \right)} + a}"," ",0,"4*tanh(x/2)**2/(a*tanh(x/2)**4 - 2*a*tanh(x/2)**2 + a) - 2/(a*tanh(x/2)**4 - 2*a*tanh(x/2)**2 + a)","B",0
158,1,46,0,0.410198," ","integrate(sinh(x)**2/(a+a*cosh(x)),x)","- \frac{x \tanh^{2}{\left(\frac{x}{2} \right)}}{a \tanh^{2}{\left(\frac{x}{2} \right)} - a} + \frac{x}{a \tanh^{2}{\left(\frac{x}{2} \right)} - a} - \frac{2 \tanh{\left(\frac{x}{2} \right)}}{a \tanh^{2}{\left(\frac{x}{2} \right)} - a}"," ",0,"-x*tanh(x/2)**2/(a*tanh(x/2)**2 - a) + x/(a*tanh(x/2)**2 - a) - 2*tanh(x/2)/(a*tanh(x/2)**2 - a)","B",0
159,1,7,0,0.132097," ","integrate(sinh(x)/(a+a*cosh(x)),x)","\frac{\log{\left(\cosh{\left(x \right)} + 1 \right)}}{a}"," ",0,"log(cosh(x) + 1)/a","A",0
160,0,0,0,0.000000," ","integrate(csch(x)/(a+a*cosh(x)),x)","\frac{\int \frac{\operatorname{csch}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(csch(x)/(cosh(x) + 1), x)/a","F",0
161,0,0,0,0.000000," ","integrate(csch(x)**2/(a+a*cosh(x)),x)","\frac{\int \frac{\operatorname{csch}^{2}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(csch(x)**2/(cosh(x) + 1), x)/a","F",0
162,0,0,0,0.000000," ","integrate(csch(x)**3/(a+a*cosh(x)),x)","\frac{\int \frac{\operatorname{csch}^{3}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(csch(x)**3/(cosh(x) + 1), x)/a","F",0
163,0,0,0,0.000000," ","integrate(csch(x)**4/(a+a*cosh(x)),x)","\frac{\int \frac{\operatorname{csch}^{4}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(csch(x)**4/(cosh(x) + 1), x)/a","F",0
164,0,0,0,0.000000," ","integrate(csch(x)**5/(a+a*cosh(x)),x)","\frac{\int \frac{\operatorname{csch}^{5}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(csch(x)**5/(cosh(x) + 1), x)/a","F",0
165,-1,0,0,0.000000," ","integrate(sinh(x)**7/(a+b*cosh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
166,-1,0,0,0.000000," ","integrate(sinh(x)**6/(a+b*cosh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
167,-1,0,0,0.000000," ","integrate(sinh(x)**5/(a+b*cosh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
168,-1,0,0,0.000000," ","integrate(sinh(x)**4/(a+b*cosh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
169,-1,0,0,0.000000," ","integrate(sinh(x)**3/(a+b*cosh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
170,1,892,0,93.139577," ","integrate(sinh(x)**2/(a+b*cosh(x)),x)","\begin{cases} \tilde{\infty} \left(- \frac{2 \tanh^{2}{\left(\frac{x}{2} \right)} \operatorname{atan}{\left(\tanh{\left(\frac{x}{2} \right)} \right)}}{\tanh^{2}{\left(\frac{x}{2} \right)} - 1} - \frac{2 \tanh{\left(\frac{x}{2} \right)}}{\tanh^{2}{\left(\frac{x}{2} \right)} - 1} + \frac{2 \operatorname{atan}{\left(\tanh{\left(\frac{x}{2} \right)} \right)}}{\tanh^{2}{\left(\frac{x}{2} \right)} - 1}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{x \tanh^{2}{\left(\frac{x}{2} \right)}}{b \tanh^{2}{\left(\frac{x}{2} \right)} - b} - \frac{x}{b \tanh^{2}{\left(\frac{x}{2} \right)} - b} - \frac{2 \tanh{\left(\frac{x}{2} \right)}}{b \tanh^{2}{\left(\frac{x}{2} \right)} - b} & \text{for}\: a = - b \\\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{x \tanh^{2}{\left(\frac{x}{2} \right)}}{b \tanh^{2}{\left(\frac{x}{2} \right)} - b} + \frac{x}{b \tanh^{2}{\left(\frac{x}{2} \right)} - b} - \frac{2 \tanh{\left(\frac{x}{2} \right)}}{b \tanh^{2}{\left(\frac{x}{2} \right)} - b} & \text{for}\: a = b \\- \frac{a x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)}}{b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{a x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}}{b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{a \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh^{2}{\left(\frac{x}{2} \right)}}{b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{a \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{a \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh^{2}{\left(\frac{x}{2} \right)}}{b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{a \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{2 b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh{\left(\frac{x}{2} \right)}}{b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{b \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh^{2}{\left(\frac{x}{2} \right)}}{b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{b \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{b \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)} \tanh^{2}{\left(\frac{x}{2} \right)}}{b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{b \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{x}{2} \right)} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-2*tanh(x/2)**2*atan(tanh(x/2))/(tanh(x/2)**2 - 1) - 2*tanh(x/2)/(tanh(x/2)**2 - 1) + 2*atan(tanh(x/2))/(tanh(x/2)**2 - 1)), Eq(a, 0) & Eq(b, 0)), (x*tanh(x/2)**2/(b*tanh(x/2)**2 - b) - x/(b*tanh(x/2)**2 - b) - 2*tanh(x/2)/(b*tanh(x/2)**2 - b), Eq(a, -b)), ((x*sinh(x)**2/2 - x*cosh(x)**2/2 + sinh(x)*cosh(x)/2)/a, Eq(b, 0)), (-x*tanh(x/2)**2/(b*tanh(x/2)**2 - b) + x/(b*tanh(x/2)**2 - b) - 2*tanh(x/2)/(b*tanh(x/2)**2 - b), Eq(a, b)), (-a*x*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2/(b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - b**2*sqrt(a/(a - b) + b/(a - b))) + a*x*sqrt(a/(a - b) + b/(a - b))/(b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - b**2*sqrt(a/(a - b) + b/(a - b))) - a*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))*tanh(x/2)**2/(b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - b**2*sqrt(a/(a - b) + b/(a - b))) + a*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - b**2*sqrt(a/(a - b) + b/(a - b))) + a*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))*tanh(x/2)**2/(b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - b**2*sqrt(a/(a - b) + b/(a - b))) - a*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - b**2*sqrt(a/(a - b) + b/(a - b))) - 2*b*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)/(b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - b**2*sqrt(a/(a - b) + b/(a - b))) - b*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))*tanh(x/2)**2/(b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - b**2*sqrt(a/(a - b) + b/(a - b))) + b*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - b**2*sqrt(a/(a - b) + b/(a - b))) + b*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))*tanh(x/2)**2/(b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - b**2*sqrt(a/(a - b) + b/(a - b))) - b*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(b**2*sqrt(a/(a - b) + b/(a - b))*tanh(x/2)**2 - b**2*sqrt(a/(a - b) + b/(a - b))), True))","A",0
171,1,14,0,0.312050," ","integrate(sinh(x)/(a+b*cosh(x)),x)","\begin{cases} \frac{\log{\left(\frac{a}{b} + \cosh{\left(x \right)} \right)}}{b} & \text{for}\: b \neq 0 \\\frac{\cosh{\left(x \right)}}{a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(a/b + cosh(x))/b, Ne(b, 0)), (cosh(x)/a, True))","A",0
172,0,0,0,0.000000," ","integrate(csch(x)/(a+b*cosh(x)),x)","\int \frac{\operatorname{csch}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)/(a + b*cosh(x)), x)","F",0
173,0,0,0,0.000000," ","integrate(csch(x)**2/(a+b*cosh(x)),x)","\int \frac{\operatorname{csch}^{2}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)**2/(a + b*cosh(x)), x)","F",0
174,0,0,0,0.000000," ","integrate(csch(x)**3/(a+b*cosh(x)),x)","\int \frac{\operatorname{csch}^{3}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)**3/(a + b*cosh(x)), x)","F",0
175,0,0,0,0.000000," ","integrate(csch(x)**4/(a+b*cosh(x)),x)","\int \frac{\operatorname{csch}^{4}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)**4/(a + b*cosh(x)), x)","F",0
176,0,0,0,0.000000," ","integrate(csch(x)**5/(a+b*cosh(x)),x)","\int \frac{\operatorname{csch}^{5}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(csch(x)**5/(a + b*cosh(x)), x)","F",0
177,-1,0,0,0.000000," ","integrate(csch(x)**6/(a+b*cosh(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
178,-1,0,0,0.000000," ","integrate(sinh(x)**2/(a+b*cosh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
179,0,0,0,0.000000," ","integrate(tanh(x)**4/(a+b*cosh(x)),x)","\int \frac{\tanh^{4}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(tanh(x)**4/(a + b*cosh(x)), x)","F",0
180,0,0,0,0.000000," ","integrate(tanh(x)**3/(a+b*cosh(x)),x)","\int \frac{\tanh^{3}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(tanh(x)**3/(a + b*cosh(x)), x)","F",0
181,0,0,0,0.000000," ","integrate(tanh(x)**2/(a+b*cosh(x)),x)","\int \frac{\tanh^{2}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(tanh(x)**2/(a + b*cosh(x)), x)","F",0
182,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*cosh(x)),x)","\int \frac{\tanh{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(tanh(x)/(a + b*cosh(x)), x)","F",0
183,0,0,0,0.000000," ","integrate(coth(x)/(a+b*cosh(x)),x)","\int \frac{\coth{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(coth(x)/(a + b*cosh(x)), x)","F",0
184,0,0,0,0.000000," ","integrate(coth(x)**2/(a+b*cosh(x)),x)","\int \frac{\coth^{2}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(coth(x)**2/(a + b*cosh(x)), x)","F",0
185,0,0,0,0.000000," ","integrate(coth(x)**3/(a+b*cosh(x)),x)","\int \frac{\coth^{3}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(coth(x)**3/(a + b*cosh(x)), x)","F",0
186,0,0,0,0.000000," ","integrate(coth(x)**4/(a+b*cosh(x)),x)","\int \frac{\coth^{4}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral(coth(x)**4/(a + b*cosh(x)), x)","F",0
187,0,0,0,0.000000," ","integrate(tanh(x)**6/(a+a*cosh(x)),x)","\frac{\int \frac{\tanh^{6}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(tanh(x)**6/(cosh(x) + 1), x)/a","F",0
188,0,0,0,0.000000," ","integrate(tanh(x)**5/(a+a*cosh(x)),x)","\frac{\int \frac{\tanh^{5}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(tanh(x)**5/(cosh(x) + 1), x)/a","F",0
189,0,0,0,0.000000," ","integrate(tanh(x)**4/(a+a*cosh(x)),x)","\frac{\int \frac{\tanh^{4}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(tanh(x)**4/(cosh(x) + 1), x)/a","F",0
190,0,0,0,0.000000," ","integrate(tanh(x)**3/(a+a*cosh(x)),x)","\frac{\int \frac{\tanh^{3}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(tanh(x)**3/(cosh(x) + 1), x)/a","F",0
191,0,0,0,0.000000," ","integrate(tanh(x)**2/(a+a*cosh(x)),x)","\frac{\int \frac{\tanh^{2}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(tanh(x)**2/(cosh(x) + 1), x)/a","F",0
192,0,0,0,0.000000," ","integrate(tanh(x)/(a+a*cosh(x)),x)","\frac{\int \frac{\tanh{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(tanh(x)/(cosh(x) + 1), x)/a","F",0
193,0,0,0,0.000000," ","integrate(coth(x)/(a+a*cosh(x)),x)","\frac{\int \frac{\coth{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(coth(x)/(cosh(x) + 1), x)/a","F",0
194,0,0,0,0.000000," ","integrate(coth(x)**2/(a+a*cosh(x)),x)","\frac{\int \frac{\coth^{2}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(coth(x)**2/(cosh(x) + 1), x)/a","F",0
195,0,0,0,0.000000," ","integrate(coth(x)**3/(a+a*cosh(x)),x)","\frac{\int \frac{\coth^{3}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(coth(x)**3/(cosh(x) + 1), x)/a","F",0
196,0,0,0,0.000000," ","integrate(coth(x)**4/(a+a*cosh(x)),x)","\frac{\int \frac{\coth^{4}{\left(x \right)}}{\cosh{\left(x \right)} + 1}\, dx}{a}"," ",0,"Integral(coth(x)**4/(cosh(x) + 1), x)/a","F",0
197,0,0,0,0.000000," ","integrate((a+b*cosh(x))**(1/2)*tanh(x),x)","\int \sqrt{a + b \cosh{\left(x \right)}} \tanh{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*cosh(x))*tanh(x), x)","F",0
198,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*cosh(x))**(1/2),x)","\int \frac{\tanh{\left(x \right)}}{\sqrt{a + b \cosh{\left(x \right)}}}\, dx"," ",0,"Integral(tanh(x)/sqrt(a + b*cosh(x)), x)","F",0
199,1,741,0,27.721259," ","integrate((A+B*sinh(x))/(a+b*cosh(x)),x)","\begin{cases} \tilde{\infty} \left(2 A \operatorname{atan}{\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^{2}{\left(\frac{x}{2} \right)} + 1 \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\- \frac{A}{b \tanh{\left(\frac{x}{2} \right)}} + \frac{B x}{b} - \frac{2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b} + \frac{2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)}}{b} & \text{for}\: a = - b \\\frac{A x + B \cosh{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{A \tanh{\left(\frac{x}{2} \right)}}{b} + \frac{B x}{b} - \frac{2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{b} & \text{for}\: a = b \\- \frac{A b \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{A b \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{B a x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{B a \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{B a \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{2 B a \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{B b x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{B b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{B b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{x}{2} \right)} \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{2 B b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}}{a b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} - b^{2} \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(2*A*atan(tanh(x/2)) + B*x - 2*B*log(tanh(x/2) + 1) + B*log(tanh(x/2)**2 + 1)), Eq(a, 0) & Eq(b, 0)), (-A/(b*tanh(x/2)) + B*x/b - 2*B*log(tanh(x/2) + 1)/b + 2*B*log(tanh(x/2))/b, Eq(a, -b)), ((A*x + B*cosh(x))/a, Eq(b, 0)), (A*tanh(x/2)/b + B*x/b - 2*B*log(tanh(x/2) + 1)/b, Eq(a, b)), (-A*b*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) + A*b*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) + B*a*x*sqrt(a/(a - b) + b/(a - b))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) + B*a*sqrt(a/(a - b) + b/(a - b))*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) + B*a*sqrt(a/(a - b) + b/(a - b))*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) - 2*B*a*sqrt(a/(a - b) + b/(a - b))*log(tanh(x/2) + 1)/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) - B*b*x*sqrt(a/(a - b) + b/(a - b))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) - B*b*sqrt(a/(a - b) + b/(a - b))*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) - B*b*sqrt(a/(a - b) + b/(a - b))*log(sqrt(a/(a - b) + b/(a - b)) + tanh(x/2))/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))) + 2*B*b*sqrt(a/(a - b) + b/(a - b))*log(tanh(x/2) + 1)/(a*b*sqrt(a/(a - b) + b/(a - b)) - b**2*sqrt(a/(a - b) + b/(a - b))), True))","A",0
200,1,20,0,0.342113," ","integrate((A+B*sinh(x))/(1+cosh(x)),x)","A \tanh{\left(\frac{x}{2} \right)} + B x - 2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)}"," ",0,"A*tanh(x/2) + B*x - 2*B*log(tanh(x/2) + 1)","A",0
201,1,31,0,0.506801," ","integrate((A+B*sinh(x))/(1-cosh(x)),x)","\frac{A}{\tanh{\left(\frac{x}{2} \right)}} - B x + 2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} + 1 \right)} - 2 B \log{\left(\tanh{\left(\frac{x}{2} \right)} \right)}"," ",0,"A/tanh(x/2) - B*x + 2*B*log(tanh(x/2) + 1) - 2*B*log(tanh(x/2))","A",0
202,0,0,0,0.000000," ","integrate((A+B*tanh(x))/(a+b*cosh(x)),x)","\int \frac{A + B \tanh{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral((A + B*tanh(x))/(a + b*cosh(x)), x)","F",0
203,0,0,0,0.000000," ","integrate((A+B*coth(x))/(a+b*cosh(x)),x)","\int \frac{A + B \coth{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral((A + B*coth(x))/(a + b*cosh(x)), x)","F",0
204,0,0,0,0.000000," ","integrate((A+B*sech(x))/(a+b*cosh(x)),x)","\int \frac{A + B \operatorname{sech}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral((A + B*sech(x))/(a + b*cosh(x)), x)","F",0
205,0,0,0,0.000000," ","integrate((A+B*csch(x))/(a+b*cosh(x)),x)","\int \frac{A + B \operatorname{csch}{\left(x \right)}}{a + b \cosh{\left(x \right)}}\, dx"," ",0,"Integral((A + B*csch(x))/(a + b*cosh(x)), x)","F",0
206,1,695,0,31.239716," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d)),x)","\begin{cases} \frac{\tilde{\infty} x \left(A + B \cosh{\left(d \right)} + C \sinh{\left(d \right)}\right)}{\cosh{\left(d \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge e = 0 \\- \frac{A}{b e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)}} + \frac{B x}{b} - \frac{B}{b e \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)}} + \frac{C x}{b} - \frac{2 C \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + 1 \right)}}{b e} + \frac{2 C \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} \right)}}{b e} & \text{for}\: a = - b \\\frac{A x + \frac{B \sinh{\left(d + e x \right)}}{e} + \frac{C \cosh{\left(d + e x \right)}}{e}}{a} & \text{for}\: b = 0 \\\frac{x \left(A + B \cosh{\left(d \right)} + C \sinh{\left(d \right)}\right)}{a + b \cosh{\left(d \right)}} & \text{for}\: e = 0 \\\frac{A \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)}}{b e} + \frac{B x}{b} - \frac{B \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)}}{b e} + \frac{C x}{b} - \frac{2 C \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + 1 \right)}}{b e} & \text{for}\: a = b \\- \frac{A b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} \right)}}{a b e + b^{2} e} + \frac{A b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} \right)}}{a b e + b^{2} e} + \frac{B a e x}{a b e + b^{2} e} + \frac{B a \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} \right)}}{a b e + b^{2} e} - \frac{B a \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} \right)}}{a b e + b^{2} e} + \frac{B b e x}{a b e + b^{2} e} + \frac{C a e x}{a b e + b^{2} e} + \frac{C a \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} \right)}}{a b e + b^{2} e} + \frac{C a \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} \right)}}{a b e + b^{2} e} - \frac{2 C a \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + 1 \right)}}{a b e + b^{2} e} + \frac{C b e x}{a b e + b^{2} e} + \frac{C b \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} \right)}}{a b e + b^{2} e} + \frac{C b \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} \right)}}{a b e + b^{2} e} - \frac{2 C b \log{\left(\tanh{\left(\frac{d}{2} + \frac{e x}{2} \right)} + 1 \right)}}{a b e + b^{2} e} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x*(A + B*cosh(d) + C*sinh(d))/cosh(d), Eq(a, 0) & Eq(b, 0) & Eq(e, 0)), (-A/(b*e*tanh(d/2 + e*x/2)) + B*x/b - B/(b*e*tanh(d/2 + e*x/2)) + C*x/b - 2*C*log(tanh(d/2 + e*x/2) + 1)/(b*e) + 2*C*log(tanh(d/2 + e*x/2))/(b*e), Eq(a, -b)), ((A*x + B*sinh(d + e*x)/e + C*cosh(d + e*x)/e)/a, Eq(b, 0)), (x*(A + B*cosh(d) + C*sinh(d))/(a + b*cosh(d)), Eq(e, 0)), (A*tanh(d/2 + e*x/2)/(b*e) + B*x/b - B*tanh(d/2 + e*x/2)/(b*e) + C*x/b - 2*C*log(tanh(d/2 + e*x/2) + 1)/(b*e), Eq(a, b)), (-A*b*sqrt(a/(a - b) + b/(a - b))*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(d/2 + e*x/2))/(a*b*e + b**2*e) + A*b*sqrt(a/(a - b) + b/(a - b))*log(sqrt(a/(a - b) + b/(a - b)) + tanh(d/2 + e*x/2))/(a*b*e + b**2*e) + B*a*e*x/(a*b*e + b**2*e) + B*a*sqrt(a/(a - b) + b/(a - b))*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(d/2 + e*x/2))/(a*b*e + b**2*e) - B*a*sqrt(a/(a - b) + b/(a - b))*log(sqrt(a/(a - b) + b/(a - b)) + tanh(d/2 + e*x/2))/(a*b*e + b**2*e) + B*b*e*x/(a*b*e + b**2*e) + C*a*e*x/(a*b*e + b**2*e) + C*a*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(d/2 + e*x/2))/(a*b*e + b**2*e) + C*a*log(sqrt(a/(a - b) + b/(a - b)) + tanh(d/2 + e*x/2))/(a*b*e + b**2*e) - 2*C*a*log(tanh(d/2 + e*x/2) + 1)/(a*b*e + b**2*e) + C*b*e*x/(a*b*e + b**2*e) + C*b*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(d/2 + e*x/2))/(a*b*e + b**2*e) + C*b*log(sqrt(a/(a - b) + b/(a - b)) + tanh(d/2 + e*x/2))/(a*b*e + b**2*e) - 2*C*b*log(tanh(d/2 + e*x/2) + 1)/(a*b*e + b**2*e), True))","A",0
207,-1,0,0,0.000000," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
208,-1,0,0,0.000000," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
209,-1,0,0,0.000000," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
210,0,0,0,0.000000," ","integrate(x/(a+b*cosh(x)**2),x)","\int \frac{x}{a + b \cosh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(x/(a + b*cosh(x)**2), x)","F",0
211,0,0,0,0.000000," ","integrate(x**2/(a+b*cosh(x)**2),x)","\int \frac{x^{2}}{a + b \cosh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(x**2/(a + b*cosh(x)**2), x)","F",0
212,0,0,0,0.000000," ","integrate(x**3/(a+b*cosh(x)**2),x)","\int \frac{x^{3}}{a + b \cosh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(x**3/(a + b*cosh(x)**2), x)","F",0
213,0,0,0,0.000000," ","integrate(cosh((-a*x+1)**(1/2)/(a*x+1)**(1/2))**3/(-a**2*x**2+1),x)","- \int \frac{\cosh^{3}{\left(\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}} \right)}}{a^{2} x^{2} - 1}\, dx"," ",0,"-Integral(cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))**3/(a**2*x**2 - 1), x)","F",0
214,0,0,0,0.000000," ","integrate(cosh((-a*x+1)**(1/2)/(a*x+1)**(1/2))**2/(-a**2*x**2+1),x)","- \int \frac{\cosh^{2}{\left(\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}} \right)}}{a^{2} x^{2} - 1}\, dx"," ",0,"-Integral(cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))**2/(a**2*x**2 - 1), x)","F",0
215,0,0,0,0.000000," ","integrate(cosh((-a*x+1)**(1/2)/(a*x+1)**(1/2))/(-a**2*x**2+1),x)","- \int \frac{\cosh{\left(\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}} \right)}}{a^{2} x^{2} - 1}\, dx"," ",0,"-Integral(cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))/(a**2*x**2 - 1), x)","F",0
216,0,0,0,0.000000," ","integrate(1/(-a**2*x**2+1)/cosh((-a*x+1)**(1/2)/(a*x+1)**(1/2)),x)","- \int \frac{1}{a^{2} x^{2} \cosh{\left(\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}} \right)} - \cosh{\left(\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}} \right)}}\, dx"," ",0,"-Integral(1/(a**2*x**2*cosh(sqrt(-a*x + 1)/sqrt(a*x + 1)) - cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))), x)","F",0
217,0,0,0,0.000000," ","integrate(1/(-a**2*x**2+1)/cosh((-a*x+1)**(1/2)/(a*x+1)**(1/2))**2,x)","- \int \frac{1}{a^{2} x^{2} \cosh^{2}{\left(\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}} \right)} - \cosh^{2}{\left(\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}} \right)}}\, dx"," ",0,"-Integral(1/(a**2*x**2*cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))**2 - cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))**2), x)","F",0
218,-1,0,0,0.000000," ","integrate(x*sinh(x)/(a+b*cosh(x))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
219,-1,0,0,0.000000," ","integrate(x*sinh(x)/(a+b*cosh(x))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
220,0,0,0,0.000000," ","integrate((2+cosh(b*x+a)**2)*sinh(b*x+a)/x,x)","\int \frac{\left(\cosh^{2}{\left(a + b x \right)} + 2\right) \sinh{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral((cosh(a + b*x)**2 + 2)*sinh(a + b*x)/x, x)","F",0
221,0,0,0,0.000000," ","integrate(x**m*sinh(d*x+c)/(a+b*cosh(d*x+c)),x)","\int \frac{x^{m} \sinh{\left(c + d x \right)}}{a + b \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(x**m*sinh(c + d*x)/(a + b*cosh(c + d*x)), x)","F",0
222,0,0,0,0.000000," ","integrate(x**3*sinh(d*x+c)/(a+b*cosh(d*x+c)),x)","\int \frac{x^{3} \sinh{\left(c + d x \right)}}{a + b \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(x**3*sinh(c + d*x)/(a + b*cosh(c + d*x)), x)","F",0
223,0,0,0,0.000000," ","integrate(x**2*sinh(d*x+c)/(a+b*cosh(d*x+c)),x)","\int \frac{x^{2} \sinh{\left(c + d x \right)}}{a + b \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(x**2*sinh(c + d*x)/(a + b*cosh(c + d*x)), x)","F",0
224,0,0,0,0.000000," ","integrate(x*sinh(d*x+c)/(a+b*cosh(d*x+c)),x)","\int \frac{x \sinh{\left(c + d x \right)}}{a + b \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(x*sinh(c + d*x)/(a + b*cosh(c + d*x)), x)","F",0
225,1,41,0,0.969639," ","integrate(sinh(d*x+c)/(a+b*cosh(d*x+c)),x)","\begin{cases} \frac{x \sinh{\left(c \right)}}{a} & \text{for}\: b = 0 \wedge d = 0 \\\frac{x \sinh{\left(c \right)}}{a + b \cosh{\left(c \right)}} & \text{for}\: d = 0 \\\frac{\cosh{\left(c + d x \right)}}{a d} & \text{for}\: b = 0 \\\frac{\log{\left(\frac{a}{b} + \cosh{\left(c + d x \right)} \right)}}{b d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sinh(c)/a, Eq(b, 0) & Eq(d, 0)), (x*sinh(c)/(a + b*cosh(c)), Eq(d, 0)), (cosh(c + d*x)/(a*d), Eq(b, 0)), (log(a/b + cosh(c + d*x))/(b*d), True))","A",0
226,0,0,0,0.000000," ","integrate(sinh(d*x+c)/x/(a+b*cosh(d*x+c)),x)","\int \frac{\sinh{\left(c + d x \right)}}{x \left(a + b \cosh{\left(c + d x \right)}\right)}\, dx"," ",0,"Integral(sinh(c + d*x)/(x*(a + b*cosh(c + d*x))), x)","F",0
227,0,0,0,0.000000," ","integrate(x**m*sinh(d*x+c)**2/(a+b*cosh(d*x+c)),x)","\int \frac{x^{m} \sinh^{2}{\left(c + d x \right)}}{a + b \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(x**m*sinh(c + d*x)**2/(a + b*cosh(c + d*x)), x)","F",0
228,0,0,0,0.000000," ","integrate(x**3*sinh(d*x+c)**2/(a+b*cosh(d*x+c)),x)","\int \frac{x^{3} \sinh^{2}{\left(c + d x \right)}}{a + b \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(x**3*sinh(c + d*x)**2/(a + b*cosh(c + d*x)), x)","F",0
229,0,0,0,0.000000," ","integrate(x**2*sinh(d*x+c)**2/(a+b*cosh(d*x+c)),x)","\int \frac{x^{2} \sinh^{2}{\left(c + d x \right)}}{a + b \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(x**2*sinh(c + d*x)**2/(a + b*cosh(c + d*x)), x)","F",0
230,0,0,0,0.000000," ","integrate(x*sinh(d*x+c)**2/(a+b*cosh(d*x+c)),x)","\int \frac{x \sinh^{2}{\left(c + d x \right)}}{a + b \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(x*sinh(c + d*x)**2/(a + b*cosh(c + d*x)), x)","F",0
231,1,1122,0,122.502504," ","integrate(sinh(d*x+c)**2/(a+b*cosh(d*x+c)),x)","\begin{cases} \frac{\tilde{\infty} x \sinh^{2}{\left(c \right)}}{\cosh{\left(c \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\\frac{d x \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{b d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b d} - \frac{d x}{b d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b d} - \frac{2 \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{b d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b d} & \text{for}\: a = - b \\\frac{\frac{x \sinh^{2}{\left(c + d x \right)}}{2} - \frac{x \cosh^{2}{\left(c + d x \right)}}{2} + \frac{\sinh{\left(c + d x \right)} \cosh{\left(c + d x \right)}}{2 d}}{a} & \text{for}\: b = 0 \\\frac{x \sinh^{2}{\left(c \right)}}{a + b \cosh{\left(c \right)}} & \text{for}\: d = 0 \\- \frac{d x \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{b d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b d} + \frac{d x}{b d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b d} - \frac{2 \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{b d \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b d} & \text{for}\: a = b \\- \frac{a d x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{a d x \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}}{b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{a \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} \right)} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{a \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} \right)}}{b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{a \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} \right)} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{a \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} \right)}}{b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{2 b \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{b \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} \right)} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{b \log{\left(- \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} \right)}}{b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} + \frac{b \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} \right)} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)}}{b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} - \frac{b \log{\left(\sqrt{\frac{a}{a - b} + \frac{b}{a - b}} + \tanh{\left(\frac{c}{2} + \frac{d x}{2} \right)} \right)}}{b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}} \tanh^{2}{\left(\frac{c}{2} + \frac{d x}{2} \right)} - b^{2} d \sqrt{\frac{a}{a - b} + \frac{b}{a - b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x*sinh(c)**2/cosh(c), Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), (d*x*tanh(c/2 + d*x/2)**2/(b*d*tanh(c/2 + d*x/2)**2 - b*d) - d*x/(b*d*tanh(c/2 + d*x/2)**2 - b*d) - 2*tanh(c/2 + d*x/2)/(b*d*tanh(c/2 + d*x/2)**2 - b*d), Eq(a, -b)), ((x*sinh(c + d*x)**2/2 - x*cosh(c + d*x)**2/2 + sinh(c + d*x)*cosh(c + d*x)/(2*d))/a, Eq(b, 0)), (x*sinh(c)**2/(a + b*cosh(c)), Eq(d, 0)), (-d*x*tanh(c/2 + d*x/2)**2/(b*d*tanh(c/2 + d*x/2)**2 - b*d) + d*x/(b*d*tanh(c/2 + d*x/2)**2 - b*d) - 2*tanh(c/2 + d*x/2)/(b*d*tanh(c/2 + d*x/2)**2 - b*d), Eq(a, b)), (-a*d*x*sqrt(a/(a - b) + b/(a - b))*tanh(c/2 + d*x/2)**2/(b**2*d*sqrt(a/(a - b) + b/(a - b))*tanh(c/2 + d*x/2)**2 - b**2*d*sqrt(a/(a - b) + b/(a - b))) + a*d*x*sqrt(a/(a - b) + b/(a - b))/(b**2*d*sqrt(a/(a - b) + b/(a - b))*tanh(c/2 + d*x/2)**2 - b**2*d*sqrt(a/(a - b) + b/(a - b))) - a*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(c/2 + d*x/2))*tanh(c/2 + d*x/2)**2/(b**2*d*sqrt(a/(a - b) + b/(a - b))*tanh(c/2 + d*x/2)**2 - b**2*d*sqrt(a/(a - b) + b/(a - b))) + a*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(c/2 + d*x/2))/(b**2*d*sqrt(a/(a - b) + b/(a - b))*tanh(c/2 + d*x/2)**2 - b**2*d*sqrt(a/(a - b) + b/(a - b))) + a*log(sqrt(a/(a - b) + b/(a - b)) + tanh(c/2 + d*x/2))*tanh(c/2 + d*x/2)**2/(b**2*d*sqrt(a/(a - b) + b/(a - b))*tanh(c/2 + d*x/2)**2 - b**2*d*sqrt(a/(a - b) + b/(a - b))) - a*log(sqrt(a/(a - b) + b/(a - b)) + tanh(c/2 + d*x/2))/(b**2*d*sqrt(a/(a - b) + b/(a - b))*tanh(c/2 + d*x/2)**2 - b**2*d*sqrt(a/(a - b) + b/(a - b))) - 2*b*sqrt(a/(a - b) + b/(a - b))*tanh(c/2 + d*x/2)/(b**2*d*sqrt(a/(a - b) + b/(a - b))*tanh(c/2 + d*x/2)**2 - b**2*d*sqrt(a/(a - b) + b/(a - b))) - b*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(c/2 + d*x/2))*tanh(c/2 + d*x/2)**2/(b**2*d*sqrt(a/(a - b) + b/(a - b))*tanh(c/2 + d*x/2)**2 - b**2*d*sqrt(a/(a - b) + b/(a - b))) + b*log(-sqrt(a/(a - b) + b/(a - b)) + tanh(c/2 + d*x/2))/(b**2*d*sqrt(a/(a - b) + b/(a - b))*tanh(c/2 + d*x/2)**2 - b**2*d*sqrt(a/(a - b) + b/(a - b))) + b*log(sqrt(a/(a - b) + b/(a - b)) + tanh(c/2 + d*x/2))*tanh(c/2 + d*x/2)**2/(b**2*d*sqrt(a/(a - b) + b/(a - b))*tanh(c/2 + d*x/2)**2 - b**2*d*sqrt(a/(a - b) + b/(a - b))) - b*log(sqrt(a/(a - b) + b/(a - b)) + tanh(c/2 + d*x/2))/(b**2*d*sqrt(a/(a - b) + b/(a - b))*tanh(c/2 + d*x/2)**2 - b**2*d*sqrt(a/(a - b) + b/(a - b))), True))","A",0
232,0,0,0,0.000000," ","integrate(sinh(d*x+c)**2/x/(a+b*cosh(d*x+c)),x)","\int \frac{\sinh^{2}{\left(c + d x \right)}}{x \left(a + b \cosh{\left(c + d x \right)}\right)}\, dx"," ",0,"Integral(sinh(c + d*x)**2/(x*(a + b*cosh(c + d*x))), x)","F",0
233,0,0,0,0.000000," ","integrate(x**m*sinh(d*x+c)**3/(a+b*cosh(d*x+c)),x)","\int \frac{x^{m} \sinh^{3}{\left(c + d x \right)}}{a + b \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(x**m*sinh(c + d*x)**3/(a + b*cosh(c + d*x)), x)","F",0
234,0,0,0,0.000000," ","integrate(x**3*sinh(d*x+c)**3/(a+b*cosh(d*x+c)),x)","\int \frac{x^{3} \sinh^{3}{\left(c + d x \right)}}{a + b \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(x**3*sinh(c + d*x)**3/(a + b*cosh(c + d*x)), x)","F",0
235,0,0,0,0.000000," ","integrate(x**2*sinh(d*x+c)**3/(a+b*cosh(d*x+c)),x)","\int \frac{x^{2} \sinh^{3}{\left(c + d x \right)}}{a + b \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(x**2*sinh(c + d*x)**3/(a + b*cosh(c + d*x)), x)","F",0
236,0,0,0,0.000000," ","integrate(x*sinh(d*x+c)**3/(a+b*cosh(d*x+c)),x)","\int \frac{x \sinh^{3}{\left(c + d x \right)}}{a + b \cosh{\left(c + d x \right)}}\, dx"," ",0,"Integral(x*sinh(c + d*x)**3/(a + b*cosh(c + d*x)), x)","F",0
237,-1,0,0,0.000000," ","integrate(sinh(d*x+c)**3/(a+b*cosh(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
238,0,0,0,0.000000," ","integrate(sinh(d*x+c)**3/x/(a+b*cosh(d*x+c)),x)","\int \frac{\sinh^{3}{\left(c + d x \right)}}{x \left(a + b \cosh{\left(c + d x \right)}\right)}\, dx"," ",0,"Integral(sinh(c + d*x)**3/(x*(a + b*cosh(c + d*x))), x)","F",0
239,0,0,0,0.000000," ","integrate(cosh(a+b*ln(c*x**n)),x)","\begin{cases} \int \cosh{\left(a - \frac{\log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{1}{n} \\\int \cosh{\left(a + \frac{\log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{1}{n} \\\frac{b n x \sinh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} - 1} - \frac{x \cosh{\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(cosh(a - log(c*x**n)/n), x), Eq(b, -1/n)), (Integral(cosh(a + log(c*x**n)/n), x), Eq(b, 1/n)), (b*n*x*sinh(a + b*n*log(x) + b*log(c))/(b**2*n**2 - 1) - x*cosh(a + b*n*log(x) + b*log(c))/(b**2*n**2 - 1), True))","F",0
240,0,0,0,0.000000," ","integrate(cosh(a+b*ln(c*x**n))**2,x)","\begin{cases} \int \cosh^{2}{\left(a - \frac{\log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = - \frac{1}{2 n} \\\int \cosh^{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 \cosh^{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(cosh(a - log(c*x**n)/(2*n))**2, x), Eq(b, -1/(2*n))), (Integral(cosh(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*cosh(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 - 1), True))","F",0
241,0,0,0,0.000000," ","integrate(cosh(a+b*ln(c*x**n))**3,x)","\begin{cases} \int \cosh^{3}{\left(a - \frac{\log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{1}{n} \\\int \cosh^{3}{\left(a - \frac{\log{\left(c x^{n} \right)}}{3 n} \right)}\, dx & \text{for}\: b = - \frac{1}{3 n} \\\int \cosh^{3}{\left(a + \frac{\log{\left(c x^{n} \right)}}{3 n} \right)}\, dx & \text{for}\: b = \frac{1}{3 n} \\\int \cosh^{3}{\left(a + \frac{\log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{1}{n} \\- \frac{6 b^{3} n^{3} 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{9 b^{3} n^{3} 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{6 b^{2} n^{2} 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{7 b^{2} n^{2} 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{3 b n 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{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} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(cosh(a - log(c*x**n)/n)**3, x), Eq(b, -1/n)), (Integral(cosh(a - log(c*x**n)/(3*n))**3, x), Eq(b, -1/(3*n))), (Integral(cosh(a + log(c*x**n)/(3*n))**3, x), Eq(b, 1/(3*n))), (Integral(cosh(a + log(c*x**n)/n)**3, x), Eq(b, 1/n)), (-6*b**3*n**3*x*sinh(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4 - 10*b**2*n**2 + 1) + 9*b**3*n**3*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) + 6*b**2*n**2*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) - 7*b**2*n**2*x*cosh(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4 - 10*b**2*n**2 + 1) - 3*b*n*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) + x*cosh(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4 - 10*b**2*n**2 + 1), True))","F",0
242,0,0,0,0.000000," ","integrate(cosh(a+b*ln(c*x**n))**4,x)","\begin{cases} \int \cosh^{4}{\left(a - \frac{\log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = - \frac{1}{2 n} \\\int \cosh^{4}{\left(a - \frac{\log{\left(c x^{n} \right)}}{4 n} \right)}\, dx & \text{for}\: b = - \frac{1}{4 n} \\\int \cosh^{4}{\left(a + \frac{\log{\left(c x^{n} \right)}}{4 n} \right)}\, dx & \text{for}\: b = \frac{1}{4 n} \\\int \cosh^{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{24 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{40 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{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{16 b^{2} n^{2} 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{4 b n 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{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} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(cosh(a - log(c*x**n)/(2*n))**4, x), Eq(b, -1/(2*n))), (Integral(cosh(a - log(c*x**n)/(4*n))**4, x), Eq(b, -1/(4*n))), (Integral(cosh(a + log(c*x**n)/(4*n))**4, x), Eq(b, 1/(4*n))), (Integral(cosh(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) - 24*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) + 40*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) + 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) - 16*b**2*n**2*x*cosh(a + b*n*log(x) + b*log(c))**4/(64*b**4*n**4 - 20*b**2*n**2 + 1) - 4*b*n*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) + x*cosh(a + b*n*log(x) + b*log(c))**4/(64*b**4*n**4 - 20*b**2*n**2 + 1), True))","F",0
243,0,0,0,0.000000," ","integrate(x**m*cosh(a+b*ln(c*x**n)),x)","\begin{cases} \log{\left(x \right)} \cosh{\left(a \right)} & \text{for}\: b = 0 \wedge m = -1 \\\int x^{m} \cosh{\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} \cosh{\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} \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{m 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{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} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*cosh(a), Eq(b, 0) & Eq(m, -1)), (Integral(x**m*cosh(a - m*log(c*x**n)/n - log(c*x**n)/n), x), Eq(b, -(m + 1)/n)), (Integral(x**m*cosh(a + m*log(c*x**n)/n + log(c*x**n)/n), x), Eq(b, (m + 1)/n)), (b*n*x*x**m*sinh(a + b*n*log(x) + b*log(c))/(b**2*n**2 - m**2 - 2*m - 1) - m*x*x**m*cosh(a + b*n*log(x) + b*log(c))/(b**2*n**2 - m**2 - 2*m - 1) - x*x**m*cosh(a + b*n*log(x) + b*log(c))/(b**2*n**2 - m**2 - 2*m - 1), True))","F",0
244,0,0,0,0.000000," ","integrate(x**m*cosh(a+b*ln(c*x**n))**2,x)","\begin{cases} \log{\left(x \right)} \cosh^{2}{\left(a \right)} & \text{for}\: b = 0 \wedge m = -1 \\\int x^{m} \cosh^{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} \cosh^{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{\cosh^{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} \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 m 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{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} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*cosh(a)**2, Eq(b, 0) & Eq(m, -1)), (Integral(x**m*cosh(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*cosh(a + m*log(c*x**n)/(2*n) + log(c*x**n)/(2*n))**2, x), Eq(b, (m + 1)/(2*n))), (Integral(cosh(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*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*m*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) - 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), True))","F",0
245,-1,0,0,0.000000," ","integrate(x**m*cosh(a+b*ln(c*x**n))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
246,-1,0,0,0.000000," ","integrate(x**m*cosh(a+b*ln(c*x**n))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
247,1,41,0,0.979660," ","integrate(cosh(a+b*ln(c*x**n))/x,x)","\begin{cases} \log{\left(x \right)} \cosh{\left(a \right)} & \text{for}\: b = 0 \wedge n = 0 \\\log{\left(x \right)} \cosh{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\log{\left(x \right)} \cosh{\left(a \right)} & \text{for}\: b = 0 \\\frac{\sinh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*cosh(a), Eq(b, 0) & Eq(n, 0)), (log(x)*cosh(a + b*log(c)), Eq(n, 0)), (log(x)*cosh(a), Eq(b, 0)), (sinh(a + b*n*log(x) + b*log(c))/(b*n), True))","A",0
248,0,0,0,0.000000," ","integrate(cosh(a+b*ln(c*x**n))**2/x,x)","\int \frac{\cosh^{2}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(cosh(a + b*log(c*x**n))**2/x, x)","F",0
249,1,87,0,10.568630," ","integrate(cosh(a+b*ln(c*x**n))**3/x,x)","\begin{cases} \log{\left(x \right)} \cosh^{3}{\left(a \right)} & \text{for}\: b = 0 \wedge n = 0 \\\log{\left(x \right)} \cosh^{3}{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\log{\left(x \right)} \cosh^{3}{\left(a \right)} & \text{for}\: b = 0 \\- \frac{2 \sinh^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{3 b n} + \frac{\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)}}{b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*cosh(a)**3, Eq(b, 0) & Eq(n, 0)), (log(x)*cosh(a + b*log(c))**3, Eq(n, 0)), (log(x)*cosh(a)**3, Eq(b, 0)), (-2*sinh(a + b*n*log(x) + b*log(c))**3/(3*b*n) + sinh(a + b*n*log(x) + b*log(c))*cosh(a + b*n*log(x) + b*log(c))**2/(b*n), True))","A",0
250,0,0,0,0.000000," ","integrate(cosh(a+b*ln(c*x**n))**4/x,x)","\int \frac{\cosh^{4}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(cosh(a + b*log(c*x**n))**4/x, x)","F",0
251,1,128,0,97.056338," ","integrate(cosh(a+b*ln(c*x**n))**5/x,x)","\begin{cases} \log{\left(x \right)} \cosh^{5}{\left(a \right)} & \text{for}\: b = 0 \wedge n = 0 \\\log{\left(x \right)} \cosh^{5}{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\log{\left(x \right)} \cosh^{5}{\left(a \right)} & \text{for}\: b = 0 \\\frac{8 \sinh^{5}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{15 b n} - \frac{4 \sinh^{3}{\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)}}{3 b n} + \frac{\sinh{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cosh^{4}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*cosh(a)**5, Eq(b, 0) & Eq(n, 0)), (log(x)*cosh(a + b*log(c))**5, Eq(n, 0)), (log(x)*cosh(a)**5, Eq(b, 0)), (8*sinh(a + b*n*log(x) + b*log(c))**5/(15*b*n) - 4*sinh(a + b*n*log(x) + b*log(c))**3*cosh(a + b*n*log(x) + b*log(c))**2/(3*b*n) + sinh(a + b*n*log(x) + b*log(c))*cosh(a + b*n*log(x) + b*log(c))**4/(b*n), True))","A",0
252,-1,0,0,0.000000," ","integrate(cosh(a+b*ln(c*x**n))**(5/2)/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
253,0,0,0,0.000000," ","integrate(cosh(a+b*ln(c*x**n))**(3/2)/x,x)","\int \frac{\cosh^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(cosh(a + b*log(c*x**n))**(3/2)/x, x)","F",0
254,0,0,0,0.000000," ","integrate(cosh(a+b*ln(c*x**n))**(1/2)/x,x)","\int \frac{\sqrt{\cosh{\left(a + b \log{\left(c x^{n} \right)} \right)}}}{x}\, dx"," ",0,"Integral(sqrt(cosh(a + b*log(c*x**n)))/x, x)","F",0
255,0,0,0,0.000000," ","integrate(1/x/cosh(a+b*ln(c*x**n))**(1/2),x)","\int \frac{1}{x \sqrt{\cosh{\left(a + b \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral(1/(x*sqrt(cosh(a + b*log(c*x**n)))), x)","F",0
256,0,0,0,0.000000," ","integrate(1/x/cosh(a+b*ln(c*x**n))**(3/2),x)","\int \frac{1}{x \cosh^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(1/(x*cosh(a + b*log(c*x**n))**(3/2)), x)","F",0
257,-1,0,0,0.000000," ","integrate(1/x/cosh(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
258,-1,0,0,0.000000," ","integrate(cosh(a+2*ln(c*x**n)/n)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
259,0,0,0,0.000000," ","integrate(cosh(a+2*ln(c*x**n)/n)**(1/2),x)","\int \sqrt{\cosh{\left(a + \frac{2 \log{\left(c x^{n} \right)}}{n} \right)}}\, dx"," ",0,"Integral(sqrt(cosh(a + 2*log(c*x**n)/n)), x)","F",0
260,0,0,0,0.000000," ","integrate(1/cosh(a+2*ln(c*x**n)/n)**(3/2),x)","\int \frac{1}{\cosh^{\frac{3}{2}}{\left(a + \frac{2 \log{\left(c x^{n} \right)}}{n} \right)}}\, dx"," ",0,"Integral(cosh(a + 2*log(c*x**n)/n)**(-3/2), x)","F",0
261,-1,0,0,0.000000," ","integrate(1/cosh(a+2*ln(c*x**n)/n)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
262,0,0,0,0.000000," ","integrate(cosh((b*x+a)/(d*x+c)),x)","\int \cosh{\left(\frac{a + b x}{c + d x} \right)}\, dx"," ",0,"Integral(cosh((a + b*x)/(c + d*x)), x)","F",0
263,-1,0,0,0.000000," ","integrate(cosh((b*x+a)/(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
264,1,139,0,54.777689," ","integrate(exp(b*x+a)*cosh(b*x+a)**4,x)","\begin{cases} \frac{8 e^{a} e^{b x} \sinh^{4}{\left(a + b x \right)}}{15 b} - \frac{8 e^{a} e^{b x} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{15 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{4 e^{a} e^{b x} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{5 b} + \frac{e^{a} e^{b x} \cosh^{4}{\left(a + b x \right)}}{5 b} & \text{for}\: b \neq 0 \\x e^{a} \cosh^{4}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((8*exp(a)*exp(b*x)*sinh(a + b*x)**4/(15*b) - 8*exp(a)*exp(b*x)*sinh(a + b*x)**3*cosh(a + b*x)/(15*b) - 4*exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)**2/(5*b) + 4*exp(a)*exp(b*x)*sinh(a + b*x)*cosh(a + b*x)**3/(5*b) + exp(a)*exp(b*x)*cosh(a + b*x)**4/(5*b), Ne(b, 0)), (x*exp(a)*cosh(a)**4, True))","A",0
265,1,207,0,15.947312," ","integrate(exp(b*x+a)*cosh(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{5 e^{a} e^{b x} \sinh^{3}{\left(a + b x \right)}}{8 b} + \frac{e^{a} e^{b x} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4 b} + \frac{e^{a} e^{b x} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{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} \cosh^{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 - 5*exp(a)*exp(b*x)*sinh(a + b*x)**3/(8*b) + exp(a)*exp(b*x)*sinh(a + b*x)**2*cosh(a + b*x)/(4*b) + exp(a)*exp(b*x)*sinh(a + b*x)*cosh(a + b*x)**2/b - 3*exp(a)*exp(b*x)*cosh(a + b*x)**3/(8*b), Ne(b, 0)), (x*exp(a)*cosh(a)**3, True))","A",0
266,1,78,0,4.342169," ","integrate(exp(b*x+a)*cosh(b*x+a)**2,x)","\begin{cases} - \frac{2 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{e^{a} e^{b x} \cosh^{2}{\left(a + b x \right)}}{3 b} & \text{for}\: b \neq 0 \\x e^{a} \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*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) + exp(a)*exp(b*x)*cosh(a + b*x)**2/(3*b), Ne(b, 0)), (x*exp(a)*cosh(a)**2, True))","A",0
267,1,63,0,1.020293," ","integrate(exp(b*x+a)*cosh(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} & \text{for}\: b \neq 0 \\x e^{a} \cosh{\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), Ne(b, 0)), (x*exp(a)*cosh(a), True))","A",0
268,0,0,0,0.000000," ","integrate(exp(b*x+a)*sech(b*x+a),x)","e^{a} \int e^{b x} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*sech(a + b*x), x)","F",0
269,0,0,0,0.000000," ","integrate(exp(b*x+a)*sech(b*x+a)**2,x)","e^{a} \int e^{b x} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*sech(a + b*x)**2, x)","F",0
270,0,0,0,0.000000," ","integrate(exp(b*x+a)*sech(b*x+a)**3,x)","e^{a} \int e^{b x} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*sech(a + b*x)**3, x)","F",0
271,0,0,0,0.000000," ","integrate(exp(b*x+a)*sech(b*x+a)**4,x)","e^{a} \int e^{b x} \operatorname{sech}^{4}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*sech(a + b*x)**4, x)","F",0
272,0,0,0,0.000000," ","integrate(exp(b*x+a)*sech(b*x+a)**5,x)","e^{a} \int e^{b x} \operatorname{sech}^{5}{\left(a + b x \right)}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*sech(a + b*x)**5, x)","F",0
273,1,42,0,0.650813," ","integrate(exp(x)*cosh(2*x)**2,x)","- \frac{8 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{7 e^{x} \cosh^{2}{\left(2 x \right)}}{15}"," ",0,"-8*exp(x)*sinh(2*x)**2/15 + 4*exp(x)*sinh(2*x)*cosh(2*x)/15 + 7*exp(x)*cosh(2*x)**2/15","B",0
274,1,20,0,0.254925," ","integrate(exp(x)*cosh(2*x),x)","\frac{2 e^{x} \sinh{\left(2 x \right)}}{3} - \frac{e^{x} \cosh{\left(2 x \right)}}{3}"," ",0,"2*exp(x)*sinh(2*x)/3 - exp(x)*cosh(2*x)/3","A",0
275,0,0,0,0.000000," ","integrate(exp(x)*sech(2*x),x)","\int e^{x} \operatorname{sech}{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*sech(2*x), x)","F",0
276,0,0,0,0.000000," ","integrate(exp(x)*sech(2*x)**2,x)","\int e^{x} \operatorname{sech}^{2}{\left(2 x \right)}\, dx"," ",0,"Integral(exp(x)*sech(2*x)**2, x)","F",0
277,1,42,0,0.637625," ","integrate(exp(x)*cosh(3*x)**2,x)","- \frac{18 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{17 e^{x} \cosh^{2}{\left(3 x \right)}}{35}"," ",0,"-18*exp(x)*sinh(3*x)**2/35 + 6*exp(x)*sinh(3*x)*cosh(3*x)/35 + 17*exp(x)*cosh(3*x)**2/35","B",0
278,1,20,0,0.247795," ","integrate(exp(x)*cosh(3*x),x)","\frac{3 e^{x} \sinh{\left(3 x \right)}}{8} - \frac{e^{x} \cosh{\left(3 x \right)}}{8}"," ",0,"3*exp(x)*sinh(3*x)/8 - exp(x)*cosh(3*x)/8","A",0
279,0,0,0,0.000000," ","integrate(exp(x)*sech(3*x),x)","\int e^{x} \operatorname{sech}{\left(3 x \right)}\, dx"," ",0,"Integral(exp(x)*sech(3*x), x)","F",0
280,0,0,0,0.000000," ","integrate(exp(x)*sech(3*x)**2,x)","\int e^{x} \operatorname{sech}^{2}{\left(3 x \right)}\, dx"," ",0,"Integral(exp(x)*sech(3*x)**2, x)","F",0
281,1,42,0,0.627443," ","integrate(exp(x)*cosh(4*x)**2,x)","- \frac{32 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{31 e^{x} \cosh^{2}{\left(4 x \right)}}{63}"," ",0,"-32*exp(x)*sinh(4*x)**2/63 + 8*exp(x)*sinh(4*x)*cosh(4*x)/63 + 31*exp(x)*cosh(4*x)**2/63","B",0
282,1,20,0,0.248582," ","integrate(exp(x)*cosh(4*x),x)","\frac{4 e^{x} \sinh{\left(4 x \right)}}{15} - \frac{e^{x} \cosh{\left(4 x \right)}}{15}"," ",0,"4*exp(x)*sinh(4*x)/15 - exp(x)*cosh(4*x)/15","A",0
283,0,0,0,0.000000," ","integrate(exp(x)*sech(4*x),x)","\int e^{x} \operatorname{sech}{\left(4 x \right)}\, dx"," ",0,"Integral(exp(x)*sech(4*x), x)","F",0
284,0,0,0,0.000000," ","integrate(exp(x)*sech(4*x)**2,x)","\int e^{x} \operatorname{sech}^{2}{\left(4 x \right)}\, dx"," ",0,"Integral(exp(x)*sech(4*x)**2, x)","F",0
285,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))*cosh(e*x+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
286,1,604,0,30.567737," ","integrate(F**(c*(b*x+a))*cosh(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} \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)}} - \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*cosh(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
287,1,316,0,6.474076," ","integrate(F**(c*(b*x+a))*cosh(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} & \text{for}\: F = -1 \wedge b = - \frac{i e}{\pi c} \\x \cosh{\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)} \cosh{\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 \sinh{\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), Eq(F, -1) & Eq(b, -I*e/(pi*c))), (x*cosh(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)*cosh(d + e*x)/(b**2*c**2*log(F)**2 - e**2) - F**(a*c)*F**(b*c*x)*e*sinh(d + e*x)/(b**2*c**2*log(F)**2 - e**2), True))","A",0
288,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*sech(e*x+d),x)","\int F^{c \left(a + b x\right)} \operatorname{sech}{\left(d + e x \right)}\, dx"," ",0,"Integral(F**(c*(a + b*x))*sech(d + e*x), x)","F",0
289,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*sech(e*x+d)**2,x)","\int F^{c \left(a + b x\right)} \operatorname{sech}^{2}{\left(d + e x \right)}\, dx"," ",0,"Integral(F**(c*(a + b*x))*sech(d + e*x)**2, x)","F",0
290,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))*sech(e*x+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
291,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))*sech(e*x+d)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
292,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*(cosh(b*c*x+a*c)**2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
293,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))*(cosh(b*c*x+a*c)**2)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
294,1,204,0,16.610617," ","integrate(exp(c*(b*x+a))*(cosh(b*c*x+a*c)**2)**(1/2),x)","\begin{cases} 0 & \text{for}\: a = \frac{\log{\left(- i e^{- b c x} \right)}}{c} \vee a = \frac{\log{\left(i e^{- b c x} \right)}}{c} \\x & \text{for}\: c = 0 \\x \sqrt{\cosh^{2}{\left(a c \right)}} e^{a c} & \text{for}\: b = 0 \\- \frac{x \sqrt{\cosh^{2}{\left(a c + b c x \right)}} e^{a c} e^{b c x} \sinh{\left(a c + b c x \right)}}{2 \cosh{\left(a c + b c x \right)}} + \frac{x \sqrt{\cosh^{2}{\left(a c + b c x \right)}} e^{a c} e^{b c x}}{2} + \frac{\sqrt{\cosh^{2}{\left(a c + b c x \right)}} e^{a c} e^{b c x} \sinh{\left(a c + b c x \right)}}{b c \cosh{\left(a c + b c x \right)}} - \frac{\sqrt{\cosh^{2}{\left(a c + b c x \right)}} e^{a c} e^{b c x}}{2 b c} & \text{otherwise} \end{cases}"," ",0,"Piecewise((0, Eq(a, log(I*exp(-b*c*x))/c) | Eq(a, log(-I*exp(-b*c*x))/c)), (x, Eq(c, 0)), (x*sqrt(cosh(a*c)**2)*exp(a*c), Eq(b, 0)), (-x*sqrt(cosh(a*c + b*c*x)**2)*exp(a*c)*exp(b*c*x)*sinh(a*c + b*c*x)/(2*cosh(a*c + b*c*x)) + x*sqrt(cosh(a*c + b*c*x)**2)*exp(a*c)*exp(b*c*x)/2 + sqrt(cosh(a*c + b*c*x)**2)*exp(a*c)*exp(b*c*x)*sinh(a*c + b*c*x)/(b*c*cosh(a*c + b*c*x)) - sqrt(cosh(a*c + b*c*x)**2)*exp(a*c)*exp(b*c*x)/(2*b*c), True))","A",0
295,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))/(cosh(b*c*x+a*c)**2)**(1/2),x)","e^{a c} \int \frac{e^{b c x}}{\sqrt{\cosh^{2}{\left(a c + b c x \right)}}}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)/sqrt(cosh(a*c + b*c*x)**2), x)","F",0
296,0,0,0,0.000000," ","integrate(exp(c*(b*x+a))/(cosh(b*c*x+a*c)**2)**(3/2),x)","e^{a c} \int \frac{e^{b c x}}{\left(\cosh^{2}{\left(a c + b c x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"exp(a*c)*Integral(exp(b*c*x)/(cosh(a*c + b*c*x)**2)**(3/2), x)","F",0
297,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))/(cosh(b*c*x+a*c)**2)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
298,-1,0,0,0.000000," ","integrate(exp(c*(b*x+a))/(cosh(b*c*x+a*c)**2)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
299,1,99,0,0.649137," ","integrate(exp(x)*cosh(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} \sinh{\left(a + b x \right)}}{b^{2} - 1} - \frac{e^{x} \cosh{\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)*sinh(a + b*x)/(b**2 - 1) - exp(x)*cosh(a + b*x)/(b**2 - 1), True))","A",0
300,0,0,0,0.000000," ","integrate(exp(x)*cosh(c*x**2+a),x)","\int e^{x} \cosh{\left(a + c x^{2} \right)}\, dx"," ",0,"Integral(exp(x)*cosh(a + c*x**2), x)","F",0
301,0,0,0,0.000000," ","integrate(exp(x)*cosh(c*x**2+b*x+a),x)","\int e^{x} \cosh{\left(a + b x + c x^{2} \right)}\, dx"," ",0,"Integral(exp(x)*cosh(a + b*x + c*x**2), x)","F",0
302,0,0,0,0.000000," ","integrate(exp(x**2)*cosh(b*x+a),x)","\int e^{x^{2}} \cosh{\left(a + b x \right)}\, dx"," ",0,"Integral(exp(x**2)*cosh(a + b*x), x)","F",0
303,0,0,0,0.000000," ","integrate(exp(x**2)*cosh(c*x**2+a),x)","\int e^{x^{2}} \cosh{\left(a + c x^{2} \right)}\, dx"," ",0,"Integral(exp(x**2)*cosh(a + c*x**2), x)","F",0
304,0,0,0,0.000000," ","integrate(exp(x**2)*cosh(c*x**2+b*x+a),x)","\int e^{x^{2}} \cosh{\left(a + b x + c x^{2} \right)}\, dx"," ",0,"Integral(exp(x**2)*cosh(a + b*x + c*x**2), x)","F",0
305,0,0,0,0.000000," ","integrate(f**(b*x+a)*cosh(f*x**2+d),x)","\int f^{a + b x} \cosh{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x)*cosh(d + f*x**2), x)","F",0
306,0,0,0,0.000000," ","integrate(f**(b*x+a)*cosh(f*x**2+d)**2,x)","\int f^{a + b x} \cosh^{2}{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x)*cosh(d + f*x**2)**2, x)","F",0
307,0,0,0,0.000000," ","integrate(f**(b*x+a)*cosh(f*x**2+d)**3,x)","\int f^{a + b x} \cosh^{3}{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x)*cosh(d + f*x**2)**3, x)","F",0
308,0,0,0,0.000000," ","integrate(f**(b*x+a)*cosh(f*x**2+e*x+d),x)","\int f^{a + b x} \cosh{\left(d + e x + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x)*cosh(d + e*x + f*x**2), x)","F",0
309,0,0,0,0.000000," ","integrate(f**(b*x+a)*cosh(f*x**2+e*x+d)**2,x)","\int f^{a + b x} \cosh^{2}{\left(d + e x + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x)*cosh(d + e*x + f*x**2)**2, x)","F",0
310,-1,0,0,0.000000," ","integrate(f**(b*x+a)*cosh(f*x**2+e*x+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
311,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*cosh(e*x+d),x)","\int f^{a + c x^{2}} \cosh{\left(d + e x \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*cosh(d + e*x), x)","F",0
312,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*cosh(e*x+d)**2,x)","\int f^{a + c x^{2}} \cosh^{2}{\left(d + e x \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*cosh(d + e*x)**2, x)","F",0
313,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*cosh(e*x+d)**3,x)","\int f^{a + c x^{2}} \cosh^{3}{\left(d + e x \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*cosh(d + e*x)**3, x)","F",0
314,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*cosh(f*x**2+d),x)","\int f^{a + c x^{2}} \cosh{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*cosh(d + f*x**2), x)","F",0
315,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*cosh(f*x**2+d)**2,x)","\int f^{a + c x^{2}} \cosh^{2}{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*cosh(d + f*x**2)**2, x)","F",0
316,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*cosh(f*x**2+d)**3,x)","\int f^{a + c x^{2}} \cosh^{3}{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*cosh(d + f*x**2)**3, x)","F",0
317,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*cosh(f*x**2+e*x+d),x)","\int f^{a + c x^{2}} \cosh{\left(d + e x + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*cosh(d + e*x + f*x**2), x)","F",0
318,0,0,0,0.000000," ","integrate(f**(c*x**2+a)*cosh(f*x**2+e*x+d)**2,x)","\int f^{a + c x^{2}} \cosh^{2}{\left(d + e x + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + c*x**2)*cosh(d + e*x + f*x**2)**2, x)","F",0
319,-1,0,0,0.000000," ","integrate(f**(c*x**2+a)*cosh(f*x**2+e*x+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
320,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*cosh(e*x+d),x)","\int f^{a + b x + c x^{2}} \cosh{\left(d + e x \right)}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*cosh(d + e*x), x)","F",0
321,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*cosh(e*x+d)**2,x)","\int f^{a + b x + c x^{2}} \cosh^{2}{\left(d + e x \right)}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*cosh(d + e*x)**2, x)","F",0
322,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*cosh(e*x+d)**3,x)","\int f^{a + b x + c x^{2}} \cosh^{3}{\left(d + e x \right)}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*cosh(d + e*x)**3, x)","F",0
323,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*cosh(f*x**2+d),x)","\int f^{a + b x + c x^{2}} \cosh{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*cosh(d + f*x**2), x)","F",0
324,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*cosh(f*x**2+d)**2,x)","\int f^{a + b x + c x^{2}} \cosh^{2}{\left(d + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*cosh(d + f*x**2)**2, x)","F",0
325,-1,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*cosh(f*x**2+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
326,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*cosh(f*x**2+e*x+d),x)","\int f^{a + b x + c x^{2}} \cosh{\left(d + e x + f x^{2} \right)}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*cosh(d + e*x + f*x**2), x)","F",0
327,-1,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*cosh(f*x**2+e*x+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
328,-1,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*cosh(f*x**2+e*x+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
329,0,0,0,0.000000," ","integrate(x/cosh(x)**(3/2)+x*cosh(x)**(1/2),x)","\int \frac{x \left(\cosh^{2}{\left(x \right)} + 1\right)}{\cosh^{\frac{3}{2}}{\left(x \right)}}\, dx"," ",0,"Integral(x*(cosh(x)**2 + 1)/cosh(x)**(3/2), x)","F",0
330,0,0,0,0.000000," ","integrate(x/cosh(x)**(5/2)-1/3*x/cosh(x)**(1/2),x)","- \frac{\int \left(- \frac{3 x}{\cosh^{\frac{5}{2}}{\left(x \right)}}\right)\, dx + \int \frac{x}{\sqrt{\cosh{\left(x \right)}}}\, dx}{3}"," ",0,"-(Integral(-3*x/cosh(x)**(5/2), x) + Integral(x/sqrt(cosh(x)), x))/3","F",0
331,-1,0,0,0.000000," ","integrate(x/cosh(x)**(7/2)+3/5*x*cosh(x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
332,0,0,0,0.000000," ","integrate(x**2/cosh(x)**(3/2)+x**2*cosh(x)**(1/2),x)","\int \frac{x^{2} \left(\cosh^{2}{\left(x \right)} + 1\right)}{\cosh^{\frac{3}{2}}{\left(x \right)}}\, dx"," ",0,"Integral(x**2*(cosh(x)**2 + 1)/cosh(x)**(3/2), x)","F",0
333,1,41,0,0.188746," ","integrate((x+cosh(x))**2,x)","\frac{x^{3}}{3} - \frac{x \sinh^{2}{\left(x \right)}}{2} + 2 x \sinh{\left(x \right)} + \frac{x \cosh^{2}{\left(x \right)}}{2} + \frac{\sinh{\left(x \right)} \cosh{\left(x \right)}}{2} - 2 \cosh{\left(x \right)}"," ",0,"x**3/3 - x*sinh(x)**2/2 + 2*x*sinh(x) + x*cosh(x)**2/2 + sinh(x)*cosh(x)/2 - 2*cosh(x)","A",0
334,1,85,0,0.314813," ","integrate((x+cosh(x))**3,x)","\frac{x^{4}}{4} - \frac{3 x^{2} \sinh^{2}{\left(x \right)}}{4} + 3 x^{2} \sinh{\left(x \right)} + \frac{3 x^{2} \cosh^{2}{\left(x \right)}}{4} + \frac{3 x \sinh{\left(x \right)} \cosh{\left(x \right)}}{2} - 6 x \cosh{\left(x \right)} - \frac{2 \sinh^{3}{\left(x \right)}}{3} + \sinh{\left(x \right)} \cosh^{2}{\left(x \right)} + 6 \sinh{\left(x \right)} - \frac{3 \cosh^{2}{\left(x \right)}}{4}"," ",0,"x**4/4 - 3*x**2*sinh(x)**2/4 + 3*x**2*sinh(x) + 3*x**2*cosh(x)**2/4 + 3*x*sinh(x)*cosh(x)/2 - 6*x*cosh(x) - 2*sinh(x)**3/3 + sinh(x)*cosh(x)**2 + 6*sinh(x) - 3*cosh(x)**2/4","A",0
335,0,0,0,0.000000," ","integrate(cosh(b*x+a)/(d*x**2+c),x)","\int \frac{\cosh{\left(a + b x \right)}}{c + d x^{2}}\, dx"," ",0,"Integral(cosh(a + b*x)/(c + d*x**2), x)","F",0
336,0,0,0,0.000000," ","integrate(cosh(b*x+a)/(e*x**2+d*x+c),x)","\int \frac{\cosh{\left(a + b x \right)}}{c + d x + e x^{2}}\, dx"," ",0,"Integral(cosh(a + b*x)/(c + d*x + e*x**2), x)","F",0
