1,0,0,0,0.000000," ","integrate(sinh(d*x+c)**4*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \sinh^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*sinh(c + d*x)**4, x)","F",0
2,0,0,0,0.000000," ","integrate(sinh(d*x+c)**3*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \sinh^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*sinh(c + d*x)**3, x)","F",0
3,0,0,0,0.000000," ","integrate(sinh(d*x+c)**2*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \sinh^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*sinh(c + d*x)**2, x)","F",0
4,0,0,0,0.000000," ","integrate(sinh(d*x+c)*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \sinh{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*sinh(c + d*x), x)","F",0
5,0,0,0,0.000000," ","integrate(csch(d*x+c)*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \operatorname{csch}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*csch(c + d*x), x)","F",0
6,0,0,0,0.000000," ","integrate(csch(d*x+c)**2*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \operatorname{csch}^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*csch(c + d*x)**2, x)","F",0
7,0,0,0,0.000000," ","integrate(csch(d*x+c)**3*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \operatorname{csch}^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*csch(c + d*x)**3, x)","F",0
8,0,0,0,0.000000," ","integrate(csch(d*x+c)**4*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \operatorname{csch}^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*csch(c + d*x)**4, x)","F",0
9,0,0,0,0.000000," ","integrate(sinh(d*x+c)**4*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \sinh^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*sinh(c + d*x)**4, x)","F",0
10,0,0,0,0.000000," ","integrate(sinh(d*x+c)**3*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \sinh^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*sinh(c + d*x)**3, x)","F",0
11,0,0,0,0.000000," ","integrate(sinh(d*x+c)**2*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \sinh^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*sinh(c + d*x)**2, x)","F",0
12,0,0,0,0.000000," ","integrate(sinh(d*x+c)*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \sinh{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*sinh(c + d*x), x)","F",0
13,0,0,0,0.000000," ","integrate(csch(d*x+c)*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \operatorname{csch}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*csch(c + d*x), x)","F",0
14,0,0,0,0.000000," ","integrate(csch(d*x+c)**2*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \operatorname{csch}^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*csch(c + d*x)**2, x)","F",0
15,0,0,0,0.000000," ","integrate(csch(d*x+c)**3*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \operatorname{csch}^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*csch(c + d*x)**3, x)","F",0
16,0,0,0,0.000000," ","integrate(csch(d*x+c)**4*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \operatorname{csch}^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*csch(c + d*x)**4, x)","F",0
17,-1,0,0,0.000000," ","integrate(sinh(d*x+c)**4*(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
18,0,0,0,0.000000," ","integrate(sinh(d*x+c)**3*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \sinh^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*sinh(c + d*x)**3, x)","F",0
19,0,0,0,0.000000," ","integrate(sinh(d*x+c)**2*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \sinh^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*sinh(c + d*x)**2, x)","F",0
20,0,0,0,0.000000," ","integrate(sinh(d*x+c)*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \sinh{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*sinh(c + d*x), x)","F",0
21,0,0,0,0.000000," ","integrate(csch(d*x+c)*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \operatorname{csch}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*csch(c + d*x), x)","F",0
22,0,0,0,0.000000," ","integrate(csch(d*x+c)**2*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \operatorname{csch}^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*csch(c + d*x)**2, x)","F",0
23,0,0,0,0.000000," ","integrate(csch(d*x+c)**3*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \operatorname{csch}^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*csch(c + d*x)**3, x)","F",0
24,0,0,0,0.000000," ","integrate(csch(d*x+c)**4*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \operatorname{csch}^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*csch(c + d*x)**4, x)","F",0
25,0,0,0,0.000000," ","integrate(sinh(d*x+c)**4/(a+b*tanh(d*x+c)**2),x)","\int \frac{\sinh^{4}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(sinh(c + d*x)**4/(a + b*tanh(c + d*x)**2), x)","F",0
26,0,0,0,0.000000," ","integrate(sinh(d*x+c)**3/(a+b*tanh(d*x+c)**2),x)","\int \frac{\sinh^{3}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(sinh(c + d*x)**3/(a + b*tanh(c + d*x)**2), x)","F",0
27,0,0,0,0.000000," ","integrate(sinh(d*x+c)**2/(a+b*tanh(d*x+c)**2),x)","\int \frac{\sinh^{2}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(sinh(c + d*x)**2/(a + b*tanh(c + d*x)**2), x)","F",0
28,0,0,0,0.000000," ","integrate(sinh(d*x+c)/(a+b*tanh(d*x+c)**2),x)","\int \frac{\sinh{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(sinh(c + d*x)/(a + b*tanh(c + d*x)**2), x)","F",0
29,0,0,0,0.000000," ","integrate(csch(d*x+c)/(a+b*tanh(d*x+c)**2),x)","\int \frac{\operatorname{csch}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(csch(c + d*x)/(a + b*tanh(c + d*x)**2), x)","F",0
30,0,0,0,0.000000," ","integrate(csch(d*x+c)**2/(a+b*tanh(d*x+c)**2),x)","\int \frac{\operatorname{csch}^{2}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(csch(c + d*x)**2/(a + b*tanh(c + d*x)**2), x)","F",0
31,0,0,0,0.000000," ","integrate(csch(d*x+c)**3/(a+b*tanh(d*x+c)**2),x)","\int \frac{\operatorname{csch}^{3}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(csch(c + d*x)**3/(a + b*tanh(c + d*x)**2), x)","F",0
32,0,0,0,0.000000," ","integrate(csch(d*x+c)**4/(a+b*tanh(d*x+c)**2),x)","\int \frac{\operatorname{csch}^{4}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(csch(c + d*x)**4/(a + b*tanh(c + d*x)**2), x)","F",0
33,-1,0,0,0.000000," ","integrate(sinh(d*x+c)**4/(a+b*tanh(d*x+c)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
34,-1,0,0,0.000000," ","integrate(sinh(d*x+c)**3/(a+b*tanh(d*x+c)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
35,-1,0,0,0.000000," ","integrate(sinh(d*x+c)**2/(a+b*tanh(d*x+c)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
36,0,0,0,0.000000," ","integrate(sinh(d*x+c)/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{\sinh{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(sinh(c + d*x)/(a + b*tanh(c + d*x)**2)**2, x)","F",0
37,0,0,0,0.000000," ","integrate(csch(d*x+c)/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{\operatorname{csch}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(csch(c + d*x)/(a + b*tanh(c + d*x)**2)**2, x)","F",0
38,0,0,0,0.000000," ","integrate(csch(d*x+c)**2/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{\operatorname{csch}^{2}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(csch(c + d*x)**2/(a + b*tanh(c + d*x)**2)**2, x)","F",0
39,0,0,0,0.000000," ","integrate(csch(d*x+c)**3/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{\operatorname{csch}^{3}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(csch(c + d*x)**3/(a + b*tanh(c + d*x)**2)**2, x)","F",0
40,0,0,0,0.000000," ","integrate(csch(d*x+c)**4/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{\operatorname{csch}^{4}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(csch(c + d*x)**4/(a + b*tanh(c + d*x)**2)**2, x)","F",0
41,-1,0,0,0.000000," ","integrate(sinh(d*x+c)**4/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
42,-1,0,0,0.000000," ","integrate(sinh(d*x+c)**3/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
43,-1,0,0,0.000000," ","integrate(sinh(d*x+c)**2/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
44,-1,0,0,0.000000," ","integrate(sinh(d*x+c)/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
45,0,0,0,0.000000," ","integrate(csch(d*x+c)/(a+b*tanh(d*x+c)**2)**3,x)","\int \frac{\operatorname{csch}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(csch(c + d*x)/(a + b*tanh(c + d*x)**2)**3, x)","F",0
46,0,0,0,0.000000," ","integrate(csch(d*x+c)**2/(a+b*tanh(d*x+c)**2)**3,x)","\int \frac{\operatorname{csch}^{2}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(csch(c + d*x)**2/(a + b*tanh(c + d*x)**2)**3, x)","F",0
47,0,0,0,0.000000," ","integrate(csch(d*x+c)**3/(a+b*tanh(d*x+c)**2)**3,x)","\int \frac{\operatorname{csch}^{3}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(csch(c + d*x)**3/(a + b*tanh(c + d*x)**2)**3, x)","F",0
48,0,0,0,0.000000," ","integrate(csch(d*x+c)**4/(a+b*tanh(d*x+c)**2)**3,x)","\int \frac{\operatorname{csch}^{4}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(csch(c + d*x)**4/(a + b*tanh(c + d*x)**2)**3, x)","F",0
49,0,0,0,0.000000," ","integrate(sinh(d*x+c)**4*(a+b*tanh(d*x+c)**3),x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right) \sinh^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)*sinh(c + d*x)**4, x)","F",0
50,0,0,0,0.000000," ","integrate(sinh(d*x+c)**3*(a+b*tanh(d*x+c)**3),x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right) \sinh^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)*sinh(c + d*x)**3, x)","F",0
51,0,0,0,0.000000," ","integrate(sinh(d*x+c)**2*(a+b*tanh(d*x+c)**3),x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right) \sinh^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)*sinh(c + d*x)**2, x)","F",0
52,0,0,0,0.000000," ","integrate(sinh(d*x+c)*(a+b*tanh(d*x+c)**3),x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right) \sinh{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)*sinh(c + d*x), x)","F",0
53,0,0,0,0.000000," ","integrate(csch(d*x+c)*(a+b*tanh(d*x+c)**3),x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right) \operatorname{csch}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)*csch(c + d*x), x)","F",0
54,0,0,0,0.000000," ","integrate(csch(d*x+c)**2*(a+b*tanh(d*x+c)**3),x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right) \operatorname{csch}^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)*csch(c + d*x)**2, x)","F",0
55,0,0,0,0.000000," ","integrate(csch(d*x+c)**3*(a+b*tanh(d*x+c)**3),x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right) \operatorname{csch}^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)*csch(c + d*x)**3, x)","F",0
56,0,0,0,0.000000," ","integrate(csch(d*x+c)**4*(a+b*tanh(d*x+c)**3),x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right) \operatorname{csch}^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)*csch(c + d*x)**4, x)","F",0
57,-1,0,0,0.000000," ","integrate(sinh(d*x+c)**4*(a+b*tanh(d*x+c)**3)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
58,0,0,0,0.000000," ","integrate(sinh(d*x+c)**3*(a+b*tanh(d*x+c)**3)**2,x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right)^{2} \sinh^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)**2*sinh(c + d*x)**3, x)","F",0
59,0,0,0,0.000000," ","integrate(sinh(d*x+c)**2*(a+b*tanh(d*x+c)**3)**2,x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right)^{2} \sinh^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)**2*sinh(c + d*x)**2, x)","F",0
60,0,0,0,0.000000," ","integrate(sinh(d*x+c)*(a+b*tanh(d*x+c)**3)**2,x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right)^{2} \sinh{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)**2*sinh(c + d*x), x)","F",0
61,0,0,0,0.000000," ","integrate(csch(d*x+c)*(a+b*tanh(d*x+c)**3)**2,x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right)^{2} \operatorname{csch}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)**2*csch(c + d*x), x)","F",0
62,0,0,0,0.000000," ","integrate(csch(d*x+c)**2*(a+b*tanh(d*x+c)**3)**2,x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right)^{2} \operatorname{csch}^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)**2*csch(c + d*x)**2, x)","F",0
63,0,0,0,0.000000," ","integrate(csch(d*x+c)**3*(a+b*tanh(d*x+c)**3)**2,x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right)^{2} \operatorname{csch}^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)**2*csch(c + d*x)**3, x)","F",0
64,0,0,0,0.000000," ","integrate(csch(d*x+c)**4*(a+b*tanh(d*x+c)**3)**2,x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right)^{2} \operatorname{csch}^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)**2*csch(c + d*x)**4, x)","F",0
65,-1,0,0,0.000000," ","integrate(sinh(d*x+c)**4*(a+b*tanh(d*x+c)**3)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
66,-1,0,0,0.000000," ","integrate(sinh(d*x+c)**3*(a+b*tanh(d*x+c)**3)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,-1,0,0,0.000000," ","integrate(sinh(d*x+c)**2*(a+b*tanh(d*x+c)**3)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
68,0,0,0,0.000000," ","integrate(sinh(d*x+c)*(a+b*tanh(d*x+c)**3)**3,x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right)^{3} \sinh{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)**3*sinh(c + d*x), x)","F",0
69,0,0,0,0.000000," ","integrate(csch(d*x+c)*(a+b*tanh(d*x+c)**3)**3,x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right)^{3} \operatorname{csch}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)**3*csch(c + d*x), x)","F",0
70,0,0,0,0.000000," ","integrate(csch(d*x+c)**2*(a+b*tanh(d*x+c)**3)**3,x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right)^{3} \operatorname{csch}^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)**3*csch(c + d*x)**2, x)","F",0
71,0,0,0,0.000000," ","integrate(csch(d*x+c)**3*(a+b*tanh(d*x+c)**3)**3,x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right)^{3} \operatorname{csch}^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)**3*csch(c + d*x)**3, x)","F",0
72,0,0,0,0.000000," ","integrate(csch(d*x+c)**4*(a+b*tanh(d*x+c)**3)**3,x)","\int \left(a + b \tanh^{3}{\left(c + d x \right)}\right)^{3} \operatorname{csch}^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**3)**3*csch(c + d*x)**4, x)","F",0
73,-1,0,0,0.000000," ","integrate(sinh(d*x+c)**4/(a+b*tanh(d*x+c)**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
74,-1,0,0,0.000000," ","integrate(sinh(d*x+c)**3/(a+b*tanh(d*x+c)**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
75,-1,0,0,0.000000," ","integrate(sinh(d*x+c)**2/(a+b*tanh(d*x+c)**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,-1,0,0,0.000000," ","integrate(sinh(d*x+c)/(a+b*tanh(d*x+c)**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
77,0,0,0,0.000000," ","integrate(csch(d*x+c)/(a+b*tanh(d*x+c)**3),x)","\int \frac{\operatorname{csch}{\left(c + d x \right)}}{a + b \tanh^{3}{\left(c + d x \right)}}\, dx"," ",0,"Integral(csch(c + d*x)/(a + b*tanh(c + d*x)**3), x)","F",0
78,0,0,0,0.000000," ","integrate(csch(d*x+c)**2/(a+b*tanh(d*x+c)**3),x)","\int \frac{\operatorname{csch}^{2}{\left(c + d x \right)}}{a + b \tanh^{3}{\left(c + d x \right)}}\, dx"," ",0,"Integral(csch(c + d*x)**2/(a + b*tanh(c + d*x)**3), x)","F",0
79,0,0,0,0.000000," ","integrate(csch(d*x+c)**3/(a+b*tanh(d*x+c)**3),x)","\int \frac{\operatorname{csch}^{3}{\left(c + d x \right)}}{a + b \tanh^{3}{\left(c + d x \right)}}\, dx"," ",0,"Integral(csch(c + d*x)**3/(a + b*tanh(c + d*x)**3), x)","F",0
80,0,0,0,0.000000," ","integrate(csch(d*x+c)**4/(a+b*tanh(d*x+c)**3),x)","\int \frac{\operatorname{csch}^{4}{\left(c + d x \right)}}{a + b \tanh^{3}{\left(c + d x \right)}}\, dx"," ",0,"Integral(csch(c + d*x)**4/(a + b*tanh(c + d*x)**3), x)","F",0
81,0,0,0,0.000000," ","integrate(cosh(d*x+c)**4*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \cosh^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*cosh(c + d*x)**4, x)","F",0
82,0,0,0,0.000000," ","integrate(cosh(d*x+c)**3*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \cosh^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*cosh(c + d*x)**3, x)","F",0
83,0,0,0,0.000000," ","integrate(cosh(d*x+c)**2*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \cosh^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*cosh(c + d*x)**2, x)","F",0
84,0,0,0,0.000000," ","integrate(cosh(d*x+c)*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \cosh{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*cosh(c + d*x), x)","F",0
85,0,0,0,0.000000," ","integrate(sech(d*x+c)*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \operatorname{sech}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*sech(c + d*x), x)","F",0
86,0,0,0,0.000000," ","integrate(sech(d*x+c)**2*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \operatorname{sech}^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*sech(c + d*x)**2, x)","F",0
87,0,0,0,0.000000," ","integrate(sech(d*x+c)**3*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \operatorname{sech}^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*sech(c + d*x)**3, x)","F",0
88,0,0,0,0.000000," ","integrate(sech(d*x+c)**4*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \operatorname{sech}^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*sech(c + d*x)**4, x)","F",0
89,0,0,0,0.000000," ","integrate(cosh(d*x+c)**4*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \cosh^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*cosh(c + d*x)**4, x)","F",0
90,0,0,0,0.000000," ","integrate(cosh(d*x+c)**3*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \cosh^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*cosh(c + d*x)**3, x)","F",0
91,0,0,0,0.000000," ","integrate(cosh(d*x+c)**2*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \cosh^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*cosh(c + d*x)**2, x)","F",0
92,0,0,0,0.000000," ","integrate(cosh(d*x+c)*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \cosh{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*cosh(c + d*x), x)","F",0
93,0,0,0,0.000000," ","integrate(sech(d*x+c)*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \operatorname{sech}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*sech(c + d*x), x)","F",0
94,0,0,0,0.000000," ","integrate(sech(d*x+c)**2*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \operatorname{sech}^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*sech(c + d*x)**2, x)","F",0
95,0,0,0,0.000000," ","integrate(sech(d*x+c)**3*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \operatorname{sech}^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*sech(c + d*x)**3, x)","F",0
96,0,0,0,0.000000," ","integrate(sech(d*x+c)**4*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \operatorname{sech}^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*sech(c + d*x)**4, x)","F",0
97,-1,0,0,0.000000," ","integrate(cosh(d*x+c)**4*(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
98,0,0,0,0.000000," ","integrate(cosh(d*x+c)**3*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \cosh^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*cosh(c + d*x)**3, x)","F",0
99,0,0,0,0.000000," ","integrate(cosh(d*x+c)**2*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \cosh^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*cosh(c + d*x)**2, x)","F",0
100,0,0,0,0.000000," ","integrate(cosh(d*x+c)*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \cosh{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*cosh(c + d*x), x)","F",0
101,0,0,0,0.000000," ","integrate(sech(d*x+c)*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \operatorname{sech}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*sech(c + d*x), x)","F",0
102,0,0,0,0.000000," ","integrate(sech(d*x+c)**2*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \operatorname{sech}^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*sech(c + d*x)**2, x)","F",0
103,0,0,0,0.000000," ","integrate(sech(d*x+c)**3*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \operatorname{sech}^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*sech(c + d*x)**3, x)","F",0
104,0,0,0,0.000000," ","integrate(sech(d*x+c)**4*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \operatorname{sech}^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*sech(c + d*x)**4, x)","F",0
105,0,0,0,0.000000," ","integrate(cosh(d*x+c)**4/(a+b*tanh(d*x+c)**2),x)","\int \frac{\cosh^{4}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(cosh(c + d*x)**4/(a + b*tanh(c + d*x)**2), x)","F",0
106,0,0,0,0.000000," ","integrate(cosh(d*x+c)**3/(a+b*tanh(d*x+c)**2),x)","\int \frac{\cosh^{3}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(cosh(c + d*x)**3/(a + b*tanh(c + d*x)**2), x)","F",0
107,0,0,0,0.000000," ","integrate(cosh(d*x+c)**2/(a+b*tanh(d*x+c)**2),x)","\int \frac{\cosh^{2}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(cosh(c + d*x)**2/(a + b*tanh(c + d*x)**2), x)","F",0
108,0,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*tanh(d*x+c)**2),x)","\int \frac{\cosh{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(cosh(c + d*x)/(a + b*tanh(c + d*x)**2), x)","F",0
109,0,0,0,0.000000," ","integrate(sech(d*x+c)/(a+b*tanh(d*x+c)**2),x)","\int \frac{\operatorname{sech}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(sech(c + d*x)/(a + b*tanh(c + d*x)**2), x)","F",0
110,0,0,0,0.000000," ","integrate(sech(d*x+c)**2/(a+b*tanh(d*x+c)**2),x)","\int \frac{\operatorname{sech}^{2}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(sech(c + d*x)**2/(a + b*tanh(c + d*x)**2), x)","F",0
111,0,0,0,0.000000," ","integrate(sech(d*x+c)**3/(a+b*tanh(d*x+c)**2),x)","\int \frac{\operatorname{sech}^{3}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(sech(c + d*x)**3/(a + b*tanh(c + d*x)**2), x)","F",0
112,0,0,0,0.000000," ","integrate(sech(d*x+c)**4/(a+b*tanh(d*x+c)**2),x)","\int \frac{\operatorname{sech}^{4}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(sech(c + d*x)**4/(a + b*tanh(c + d*x)**2), x)","F",0
113,0,0,0,0.000000," ","integrate(sech(d*x+c)**5/(a+b*tanh(d*x+c)**2),x)","\int \frac{\operatorname{sech}^{5}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(sech(c + d*x)**5/(a + b*tanh(c + d*x)**2), x)","F",0
114,0,0,0,0.000000," ","integrate(sech(d*x+c)**6/(a+b*tanh(d*x+c)**2),x)","\int \frac{\operatorname{sech}^{6}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(sech(c + d*x)**6/(a + b*tanh(c + d*x)**2), x)","F",0
115,-1,0,0,0.000000," ","integrate(cosh(d*x+c)**3/(a+b*tanh(d*x+c)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
116,-1,0,0,0.000000," ","integrate(cosh(d*x+c)**2/(a+b*tanh(d*x+c)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
117,-1,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*tanh(d*x+c)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
118,0,0,0,0.000000," ","integrate(sech(d*x+c)/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{\operatorname{sech}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(sech(c + d*x)/(a + b*tanh(c + d*x)**2)**2, x)","F",0
119,0,0,0,0.000000," ","integrate(sech(d*x+c)**2/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{\operatorname{sech}^{2}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(sech(c + d*x)**2/(a + b*tanh(c + d*x)**2)**2, x)","F",0
120,0,0,0,0.000000," ","integrate(sech(d*x+c)**3/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{\operatorname{sech}^{3}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(sech(c + d*x)**3/(a + b*tanh(c + d*x)**2)**2, x)","F",0
121,0,0,0,0.000000," ","integrate(sech(d*x+c)**4/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{\operatorname{sech}^{4}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(sech(c + d*x)**4/(a + b*tanh(c + d*x)**2)**2, x)","F",0
122,0,0,0,0.000000," ","integrate(sech(d*x+c)**5/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{\operatorname{sech}^{5}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(sech(c + d*x)**5/(a + b*tanh(c + d*x)**2)**2, x)","F",0
123,0,0,0,0.000000," ","integrate(sech(d*x+c)**6/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{\operatorname{sech}^{6}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(sech(c + d*x)**6/(a + b*tanh(c + d*x)**2)**2, x)","F",0
124,-1,0,0,0.000000," ","integrate(sech(d*x+c)**7/(a+b*tanh(d*x+c)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
125,-1,0,0,0.000000," ","integrate(cosh(d*x+c)**2/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
126,-1,0,0,0.000000," ","integrate(cosh(d*x+c)/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
127,-1,0,0,0.000000," ","integrate(sech(d*x+c)/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
128,-1,0,0,0.000000," ","integrate(sech(d*x+c)**2/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
129,-1,0,0,0.000000," ","integrate(sech(d*x+c)**3/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
130,-1,0,0,0.000000," ","integrate(sech(d*x+c)**4/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,-1,0,0,0.000000," ","integrate(sech(d*x+c)**5/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,-1,0,0,0.000000," ","integrate(sech(d*x+c)**6/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,-1,0,0,0.000000," ","integrate(sech(d*x+c)**7/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
134,1,82,0,0.552768," ","integrate(tanh(d*x+c)**4*(a+b*tanh(d*x+c)**2),x)","\begin{cases} a x - \frac{a \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{a \tanh{\left(c + d x \right)}}{d} + b x - \frac{b \tanh^{5}{\left(c + d x \right)}}{5 d} - \frac{b \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{b \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right) \tanh^{4}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x - a*tanh(c + d*x)**3/(3*d) - a*tanh(c + d*x)/d + b*x - b*tanh(c + d*x)**5/(5*d) - b*tanh(c + d*x)**3/(3*d) - b*tanh(c + d*x)/d, Ne(d, 0)), (x*(a + b*tanh(c)**2)*tanh(c)**4, True))","A",0
135,1,88,0,0.419087," ","integrate(tanh(d*x+c)**3*(a+b*tanh(d*x+c)**2),x)","\begin{cases} a x - \frac{a \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{a \tanh^{2}{\left(c + d x \right)}}{2 d} + b x - \frac{b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{b \tanh^{4}{\left(c + d x \right)}}{4 d} - \frac{b \tanh^{2}{\left(c + d x \right)}}{2 d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right) \tanh^{3}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x - a*log(tanh(c + d*x) + 1)/d - a*tanh(c + d*x)**2/(2*d) + b*x - b*log(tanh(c + d*x) + 1)/d - b*tanh(c + d*x)**4/(4*d) - b*tanh(c + d*x)**2/(2*d), Ne(d, 0)), (x*(a + b*tanh(c)**2)*tanh(c)**3, True))","A",0
136,1,54,0,0.291563," ","integrate(tanh(d*x+c)**2*(a+b*tanh(d*x+c)**2),x)","\begin{cases} a x - \frac{a \tanh{\left(c + d x \right)}}{d} + b x - \frac{b \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{b \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right) \tanh^{2}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x - a*tanh(c + d*x)/d + b*x - b*tanh(c + d*x)**3/(3*d) - b*tanh(c + d*x)/d, Ne(d, 0)), (x*(a + b*tanh(c)**2)*tanh(c)**2, True))","A",0
137,1,60,0,0.205087," ","integrate(tanh(d*x+c)*(a+b*tanh(d*x+c)**2),x)","\begin{cases} a x - \frac{a \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} + b x - \frac{b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{b \tanh^{2}{\left(c + d x \right)}}{2 d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right) \tanh{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x - a*log(tanh(c + d*x) + 1)/d + b*x - b*log(tanh(c + d*x) + 1)/d - b*tanh(c + d*x)**2/(2*d), Ne(d, 0)), (x*(a + b*tanh(c)**2)*tanh(c), True))","A",0
138,1,20,0,0.155449," ","integrate(a+b*tanh(d*x+c)**2,x)","a x + b \left(\begin{cases} x - \frac{\tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \tanh^{2}{\left(c \right)} & \text{otherwise} \end{cases}\right)"," ",0,"a*x + b*Piecewise((x - tanh(c + d*x)/d, Ne(d, 0)), (x*tanh(c)**2, True))","A",0
139,0,0,0,0.000000," ","integrate(coth(d*x+c)*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \coth{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*coth(c + d*x), x)","F",0
140,1,49,0,7.559190," ","integrate(coth(d*x+c)**2*(a+b*tanh(d*x+c)**2),x)","a \left(\begin{cases} \tilde{\infty} x & \text{for}\: c = \log{\left(- e^{- d x} \right)} \vee c = \log{\left(e^{- d x} \right)} \\x \coth^{2}{\left(c \right)} & \text{for}\: d = 0 \\x - \frac{1}{d \tanh{\left(c + d x \right)}} & \text{otherwise} \end{cases}\right) + b \left(\begin{cases} x & \text{for}\: \left|{x}\right| < 1 \\{G_{2, 2}^{1, 1}\left(\begin{matrix} 1 & 2 \\1 & 0 \end{matrix} \middle| {x} \right)} + {G_{2, 2}^{0, 2}\left(\begin{matrix} 2, 1 &  \\ & 1, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)"," ",0,"a*Piecewise((zoo*x, Eq(c, log(exp(-d*x))) | Eq(c, log(-exp(-d*x)))), (x*coth(c)**2, Eq(d, 0)), (x - 1/(d*tanh(c + d*x)), True)) + b*Piecewise((x, Abs(x) < 1), (meijerg(((1,), (2,)), ((1,), (0,)), x) + meijerg(((2, 1), ()), ((), (1, 0)), x), True))","B",0
141,0,0,0,0.000000," ","integrate(coth(d*x+c)**3*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \coth^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*coth(c + d*x)**3, x)","F",0
142,0,0,0,0.000000," ","integrate(coth(d*x+c)**4*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \coth^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*coth(c + d*x)**4, x)","F",0
143,0,0,0,0.000000," ","integrate(coth(d*x+c)**5*(a+b*tanh(d*x+c)**2),x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right) \coth^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)*coth(c + d*x)**5, x)","F",0
144,1,165,0,1.110075," ","integrate(tanh(d*x+c)**4*(a+b*tanh(d*x+c)**2)**2,x)","\begin{cases} a^{2} x - \frac{a^{2} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{a^{2} \tanh{\left(c + d x \right)}}{d} + 2 a b x - \frac{2 a b \tanh^{5}{\left(c + d x \right)}}{5 d} - \frac{2 a b \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{2 a b \tanh{\left(c + d x \right)}}{d} + b^{2} x - \frac{b^{2} \tanh^{7}{\left(c + d x \right)}}{7 d} - \frac{b^{2} \tanh^{5}{\left(c + d x \right)}}{5 d} - \frac{b^{2} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{b^{2} \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right)^{2} \tanh^{4}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x - a**2*tanh(c + d*x)**3/(3*d) - a**2*tanh(c + d*x)/d + 2*a*b*x - 2*a*b*tanh(c + d*x)**5/(5*d) - 2*a*b*tanh(c + d*x)**3/(3*d) - 2*a*b*tanh(c + d*x)/d + b**2*x - b**2*tanh(c + d*x)**7/(7*d) - b**2*tanh(c + d*x)**5/(5*d) - b**2*tanh(c + d*x)**3/(3*d) - b**2*tanh(c + d*x)/d, Ne(d, 0)), (x*(a + b*tanh(c)**2)**2*tanh(c)**4, True))","A",0
145,1,170,0,0.886312," ","integrate(tanh(d*x+c)**3*(a+b*tanh(d*x+c)**2)**2,x)","\begin{cases} a^{2} x - \frac{a^{2} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{a^{2} \tanh^{2}{\left(c + d x \right)}}{2 d} + 2 a b x - \frac{2 a b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{a b \tanh^{4}{\left(c + d x \right)}}{2 d} - \frac{a b \tanh^{2}{\left(c + d x \right)}}{d} + b^{2} x - \frac{b^{2} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{b^{2} \tanh^{6}{\left(c + d x \right)}}{6 d} - \frac{b^{2} \tanh^{4}{\left(c + d x \right)}}{4 d} - \frac{b^{2} \tanh^{2}{\left(c + d x \right)}}{2 d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right)^{2} \tanh^{3}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x - a**2*log(tanh(c + d*x) + 1)/d - a**2*tanh(c + d*x)**2/(2*d) + 2*a*b*x - 2*a*b*log(tanh(c + d*x) + 1)/d - a*b*tanh(c + d*x)**4/(2*d) - a*b*tanh(c + d*x)**2/d + b**2*x - b**2*log(tanh(c + d*x) + 1)/d - b**2*tanh(c + d*x)**6/(6*d) - b**2*tanh(c + d*x)**4/(4*d) - b**2*tanh(c + d*x)**2/(2*d), Ne(d, 0)), (x*(a + b*tanh(c)**2)**2*tanh(c)**3, True))","A",0
146,1,117,0,0.643121," ","integrate(tanh(d*x+c)**2*(a+b*tanh(d*x+c)**2)**2,x)","\begin{cases} a^{2} x - \frac{a^{2} \tanh{\left(c + d x \right)}}{d} + 2 a b x - \frac{2 a b \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{2 a b \tanh{\left(c + d x \right)}}{d} + b^{2} x - \frac{b^{2} \tanh^{5}{\left(c + d x \right)}}{5 d} - \frac{b^{2} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{b^{2} \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right)^{2} \tanh^{2}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x - a**2*tanh(c + d*x)/d + 2*a*b*x - 2*a*b*tanh(c + d*x)**3/(3*d) - 2*a*b*tanh(c + d*x)/d + b**2*x - b**2*tanh(c + d*x)**5/(5*d) - b**2*tanh(c + d*x)**3/(3*d) - b**2*tanh(c + d*x)/d, Ne(d, 0)), (x*(a + b*tanh(c)**2)**2*tanh(c)**2, True))","A",0
147,1,122,0,0.474433," ","integrate(tanh(d*x+c)*(a+b*tanh(d*x+c)**2)**2,x)","\begin{cases} a^{2} x - \frac{a^{2} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} + 2 a b x - \frac{2 a b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{a b \tanh^{2}{\left(c + d x \right)}}{d} + b^{2} x - \frac{b^{2} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{b^{2} \tanh^{4}{\left(c + d x \right)}}{4 d} - \frac{b^{2} \tanh^{2}{\left(c + d x \right)}}{2 d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right)^{2} \tanh{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x - a**2*log(tanh(c + d*x) + 1)/d + 2*a*b*x - 2*a*b*log(tanh(c + d*x) + 1)/d - a*b*tanh(c + d*x)**2/d + b**2*x - b**2*log(tanh(c + d*x) + 1)/d - b**2*tanh(c + d*x)**4/(4*d) - b**2*tanh(c + d*x)**2/(2*d), Ne(d, 0)), (x*(a + b*tanh(c)**2)**2*tanh(c), True))","A",0
148,1,68,0,0.322333," ","integrate((a+b*tanh(d*x+c)**2)**2,x)","\begin{cases} a^{2} x + 2 a b x - \frac{2 a b \tanh{\left(c + d x \right)}}{d} + b^{2} x - \frac{b^{2} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{b^{2} \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right)^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x + 2*a*b*x - 2*a*b*tanh(c + d*x)/d + b**2*x - b**2*tanh(c + d*x)**3/(3*d) - b**2*tanh(c + d*x)/d, Ne(d, 0)), (x*(a + b*tanh(c)**2)**2, True))","A",0
149,0,0,0,0.000000," ","integrate(coth(d*x+c)*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \coth{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*coth(c + d*x), x)","F",0
150,0,0,0,0.000000," ","integrate(coth(d*x+c)**2*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \coth^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*coth(c + d*x)**2, x)","F",0
151,0,0,0,0.000000," ","integrate(coth(d*x+c)**3*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \coth^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*coth(c + d*x)**3, x)","F",0
152,0,0,0,0.000000," ","integrate(coth(d*x+c)**4*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \coth^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*coth(c + d*x)**4, x)","F",0
153,0,0,0,0.000000," ","integrate(coth(d*x+c)**5*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \coth^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*coth(c + d*x)**5, x)","F",0
154,0,0,0,0.000000," ","integrate(coth(d*x+c)**6*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \coth^{6}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*coth(c + d*x)**6, x)","F",0
155,0,0,0,0.000000," ","integrate(coth(d*x+c)**7*(a+b*tanh(d*x+c)**2)**2,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2} \coth^{7}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**2*coth(c + d*x)**7, x)","F",0
156,1,260,0,2.090604," ","integrate(tanh(d*x+c)**4*(a+b*tanh(d*x+c)**2)**3,x)","\begin{cases} a^{3} x - \frac{a^{3} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{a^{3} \tanh{\left(c + d x \right)}}{d} + 3 a^{2} b x - \frac{3 a^{2} b \tanh^{5}{\left(c + d x \right)}}{5 d} - \frac{a^{2} b \tanh^{3}{\left(c + d x \right)}}{d} - \frac{3 a^{2} b \tanh{\left(c + d x \right)}}{d} + 3 a b^{2} x - \frac{3 a b^{2} \tanh^{7}{\left(c + d x \right)}}{7 d} - \frac{3 a b^{2} \tanh^{5}{\left(c + d x \right)}}{5 d} - \frac{a b^{2} \tanh^{3}{\left(c + d x \right)}}{d} - \frac{3 a b^{2} \tanh{\left(c + d x \right)}}{d} + b^{3} x - \frac{b^{3} \tanh^{9}{\left(c + d x \right)}}{9 d} - \frac{b^{3} \tanh^{7}{\left(c + d x \right)}}{7 d} - \frac{b^{3} \tanh^{5}{\left(c + d x \right)}}{5 d} - \frac{b^{3} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{b^{3} \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right)^{3} \tanh^{4}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*x - a**3*tanh(c + d*x)**3/(3*d) - a**3*tanh(c + d*x)/d + 3*a**2*b*x - 3*a**2*b*tanh(c + d*x)**5/(5*d) - a**2*b*tanh(c + d*x)**3/d - 3*a**2*b*tanh(c + d*x)/d + 3*a*b**2*x - 3*a*b**2*tanh(c + d*x)**7/(7*d) - 3*a*b**2*tanh(c + d*x)**5/(5*d) - a*b**2*tanh(c + d*x)**3/d - 3*a*b**2*tanh(c + d*x)/d + b**3*x - b**3*tanh(c + d*x)**9/(9*d) - b**3*tanh(c + d*x)**7/(7*d) - b**3*tanh(c + d*x)**5/(5*d) - b**3*tanh(c + d*x)**3/(3*d) - b**3*tanh(c + d*x)/d, Ne(d, 0)), (x*(a + b*tanh(c)**2)**3*tanh(c)**4, True))","A",0
157,1,279,0,1.682572," ","integrate(tanh(d*x+c)**3*(a+b*tanh(d*x+c)**2)**3,x)","\begin{cases} a^{3} x - \frac{a^{3} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{a^{3} \tanh^{2}{\left(c + d x \right)}}{2 d} + 3 a^{2} b x - \frac{3 a^{2} b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{3 a^{2} b \tanh^{4}{\left(c + d x \right)}}{4 d} - \frac{3 a^{2} b \tanh^{2}{\left(c + d x \right)}}{2 d} + 3 a b^{2} x - \frac{3 a b^{2} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{a b^{2} \tanh^{6}{\left(c + d x \right)}}{2 d} - \frac{3 a b^{2} \tanh^{4}{\left(c + d x \right)}}{4 d} - \frac{3 a b^{2} \tanh^{2}{\left(c + d x \right)}}{2 d} + b^{3} x - \frac{b^{3} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{b^{3} \tanh^{8}{\left(c + d x \right)}}{8 d} - \frac{b^{3} \tanh^{6}{\left(c + d x \right)}}{6 d} - \frac{b^{3} \tanh^{4}{\left(c + d x \right)}}{4 d} - \frac{b^{3} \tanh^{2}{\left(c + d x \right)}}{2 d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right)^{3} \tanh^{3}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*x - a**3*log(tanh(c + d*x) + 1)/d - a**3*tanh(c + d*x)**2/(2*d) + 3*a**2*b*x - 3*a**2*b*log(tanh(c + d*x) + 1)/d - 3*a**2*b*tanh(c + d*x)**4/(4*d) - 3*a**2*b*tanh(c + d*x)**2/(2*d) + 3*a*b**2*x - 3*a*b**2*log(tanh(c + d*x) + 1)/d - a*b**2*tanh(c + d*x)**6/(2*d) - 3*a*b**2*tanh(c + d*x)**4/(4*d) - 3*a*b**2*tanh(c + d*x)**2/(2*d) + b**3*x - b**3*log(tanh(c + d*x) + 1)/d - b**3*tanh(c + d*x)**8/(8*d) - b**3*tanh(c + d*x)**6/(6*d) - b**3*tanh(c + d*x)**4/(4*d) - b**3*tanh(c + d*x)**2/(2*d), Ne(d, 0)), (x*(a + b*tanh(c)**2)**3*tanh(c)**3, True))","A",0
158,1,192,0,1.200323," ","integrate(tanh(d*x+c)**2*(a+b*tanh(d*x+c)**2)**3,x)","\begin{cases} a^{3} x - \frac{a^{3} \tanh{\left(c + d x \right)}}{d} + 3 a^{2} b x - \frac{a^{2} b \tanh^{3}{\left(c + d x \right)}}{d} - \frac{3 a^{2} b \tanh{\left(c + d x \right)}}{d} + 3 a b^{2} x - \frac{3 a b^{2} \tanh^{5}{\left(c + d x \right)}}{5 d} - \frac{a b^{2} \tanh^{3}{\left(c + d x \right)}}{d} - \frac{3 a b^{2} \tanh{\left(c + d x \right)}}{d} + b^{3} x - \frac{b^{3} \tanh^{7}{\left(c + d x \right)}}{7 d} - \frac{b^{3} \tanh^{5}{\left(c + d x \right)}}{5 d} - \frac{b^{3} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{b^{3} \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right)^{3} \tanh^{2}{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*x - a**3*tanh(c + d*x)/d + 3*a**2*b*x - a**2*b*tanh(c + d*x)**3/d - 3*a**2*b*tanh(c + d*x)/d + 3*a*b**2*x - 3*a*b**2*tanh(c + d*x)**5/(5*d) - a*b**2*tanh(c + d*x)**3/d - 3*a*b**2*tanh(c + d*x)/d + b**3*x - b**3*tanh(c + d*x)**7/(7*d) - b**3*tanh(c + d*x)**5/(5*d) - b**3*tanh(c + d*x)**3/(3*d) - b**3*tanh(c + d*x)/d, Ne(d, 0)), (x*(a + b*tanh(c)**2)**3*tanh(c)**2, True))","A",0
159,1,211,0,0.969429," ","integrate(tanh(d*x+c)*(a+b*tanh(d*x+c)**2)**3,x)","\begin{cases} a^{3} x - \frac{a^{3} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} + 3 a^{2} b x - \frac{3 a^{2} b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{3 a^{2} b \tanh^{2}{\left(c + d x \right)}}{2 d} + 3 a b^{2} x - \frac{3 a b^{2} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{3 a b^{2} \tanh^{4}{\left(c + d x \right)}}{4 d} - \frac{3 a b^{2} \tanh^{2}{\left(c + d x \right)}}{2 d} + b^{3} x - \frac{b^{3} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{b^{3} \tanh^{6}{\left(c + d x \right)}}{6 d} - \frac{b^{3} \tanh^{4}{\left(c + d x \right)}}{4 d} - \frac{b^{3} \tanh^{2}{\left(c + d x \right)}}{2 d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right)^{3} \tanh{\left(c \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*x - a**3*log(tanh(c + d*x) + 1)/d + 3*a**2*b*x - 3*a**2*b*log(tanh(c + d*x) + 1)/d - 3*a**2*b*tanh(c + d*x)**2/(2*d) + 3*a*b**2*x - 3*a*b**2*log(tanh(c + d*x) + 1)/d - 3*a*b**2*tanh(c + d*x)**4/(4*d) - 3*a*b**2*tanh(c + d*x)**2/(2*d) + b**3*x - b**3*log(tanh(c + d*x) + 1)/d - b**3*tanh(c + d*x)**6/(6*d) - b**3*tanh(c + d*x)**4/(4*d) - b**3*tanh(c + d*x)**2/(2*d), Ne(d, 0)), (x*(a + b*tanh(c)**2)**3*tanh(c), True))","A",0
160,1,126,0,0.684867," ","integrate((a+b*tanh(d*x+c)**2)**3,x)","\begin{cases} a^{3} x + 3 a^{2} b x - \frac{3 a^{2} b \tanh{\left(c + d x \right)}}{d} + 3 a b^{2} x - \frac{a b^{2} \tanh^{3}{\left(c + d x \right)}}{d} - \frac{3 a b^{2} \tanh{\left(c + d x \right)}}{d} + b^{3} x - \frac{b^{3} \tanh^{5}{\left(c + d x \right)}}{5 d} - \frac{b^{3} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{b^{3} \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right)^{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*x + 3*a**2*b*x - 3*a**2*b*tanh(c + d*x)/d + 3*a*b**2*x - a*b**2*tanh(c + d*x)**3/d - 3*a*b**2*tanh(c + d*x)/d + b**3*x - b**3*tanh(c + d*x)**5/(5*d) - b**3*tanh(c + d*x)**3/(3*d) - b**3*tanh(c + d*x)/d, Ne(d, 0)), (x*(a + b*tanh(c)**2)**3, True))","A",0
161,0,0,0,0.000000," ","integrate(coth(d*x+c)*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \coth{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*coth(c + d*x), x)","F",0
162,0,0,0,0.000000," ","integrate(coth(d*x+c)**2*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \coth^{2}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*coth(c + d*x)**2, x)","F",0
163,0,0,0,0.000000," ","integrate(coth(d*x+c)**3*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \coth^{3}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*coth(c + d*x)**3, x)","F",0
164,0,0,0,0.000000," ","integrate(coth(d*x+c)**4*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \coth^{4}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*coth(c + d*x)**4, x)","F",0
165,0,0,0,0.000000," ","integrate(coth(d*x+c)**5*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \coth^{5}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*coth(c + d*x)**5, x)","F",0
166,0,0,0,0.000000," ","integrate(coth(d*x+c)**6*(a+b*tanh(d*x+c)**2)**3,x)","\int \left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3} \coth^{6}{\left(c + d x \right)}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**3*coth(c + d*x)**6, x)","F",0
167,-1,0,0,0.000000," ","integrate(coth(d*x+c)**7*(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
168,1,209,0,1.275957," ","integrate((a+b*tanh(d*x+c)**2)**4,x)","\begin{cases} a^{4} x + 4 a^{3} b x - \frac{4 a^{3} b \tanh{\left(c + d x \right)}}{d} + 6 a^{2} b^{2} x - \frac{2 a^{2} b^{2} \tanh^{3}{\left(c + d x \right)}}{d} - \frac{6 a^{2} b^{2} \tanh{\left(c + d x \right)}}{d} + 4 a b^{3} x - \frac{4 a b^{3} \tanh^{5}{\left(c + d x \right)}}{5 d} - \frac{4 a b^{3} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{4 a b^{3} \tanh{\left(c + d x \right)}}{d} + b^{4} x - \frac{b^{4} \tanh^{7}{\left(c + d x \right)}}{7 d} - \frac{b^{4} \tanh^{5}{\left(c + d x \right)}}{5 d} - \frac{b^{4} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{b^{4} \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right)^{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**4*x + 4*a**3*b*x - 4*a**3*b*tanh(c + d*x)/d + 6*a**2*b**2*x - 2*a**2*b**2*tanh(c + d*x)**3/d - 6*a**2*b**2*tanh(c + d*x)/d + 4*a*b**3*x - 4*a*b**3*tanh(c + d*x)**5/(5*d) - 4*a*b**3*tanh(c + d*x)**3/(3*d) - 4*a*b**3*tanh(c + d*x)/d + b**4*x - b**4*tanh(c + d*x)**7/(7*d) - b**4*tanh(c + d*x)**5/(5*d) - b**4*tanh(c + d*x)**3/(3*d) - b**4*tanh(c + d*x)/d, Ne(d, 0)), (x*(a + b*tanh(c)**2)**4, True))","A",0
169,1,308,0,2.316301," ","integrate((a+b*tanh(d*x+c)**2)**5,x)","\begin{cases} a^{5} x + 5 a^{4} b x - \frac{5 a^{4} b \tanh{\left(c + d x \right)}}{d} + 10 a^{3} b^{2} x - \frac{10 a^{3} b^{2} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{10 a^{3} b^{2} \tanh{\left(c + d x \right)}}{d} + 10 a^{2} b^{3} x - \frac{2 a^{2} b^{3} \tanh^{5}{\left(c + d x \right)}}{d} - \frac{10 a^{2} b^{3} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{10 a^{2} b^{3} \tanh{\left(c + d x \right)}}{d} + 5 a b^{4} x - \frac{5 a b^{4} \tanh^{7}{\left(c + d x \right)}}{7 d} - \frac{a b^{4} \tanh^{5}{\left(c + d x \right)}}{d} - \frac{5 a b^{4} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{5 a b^{4} \tanh{\left(c + d x \right)}}{d} + b^{5} x - \frac{b^{5} \tanh^{9}{\left(c + d x \right)}}{9 d} - \frac{b^{5} \tanh^{7}{\left(c + d x \right)}}{7 d} - \frac{b^{5} \tanh^{5}{\left(c + d x \right)}}{5 d} - \frac{b^{5} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{b^{5} \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{2}{\left(c \right)}\right)^{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**5*x + 5*a**4*b*x - 5*a**4*b*tanh(c + d*x)/d + 10*a**3*b**2*x - 10*a**3*b**2*tanh(c + d*x)**3/(3*d) - 10*a**3*b**2*tanh(c + d*x)/d + 10*a**2*b**3*x - 2*a**2*b**3*tanh(c + d*x)**5/d - 10*a**2*b**3*tanh(c + d*x)**3/(3*d) - 10*a**2*b**3*tanh(c + d*x)/d + 5*a*b**4*x - 5*a*b**4*tanh(c + d*x)**7/(7*d) - a*b**4*tanh(c + d*x)**5/d - 5*a*b**4*tanh(c + d*x)**3/(3*d) - 5*a*b**4*tanh(c + d*x)/d + b**5*x - b**5*tanh(c + d*x)**9/(9*d) - b**5*tanh(c + d*x)**7/(7*d) - b**5*tanh(c + d*x)**5/(5*d) - b**5*tanh(c + d*x)**3/(3*d) - b**5*tanh(c + d*x)/d, Ne(d, 0)), (x*(a + b*tanh(c)**2)**5, True))","A",0
170,1,425,0,13.457397," ","integrate(tanh(d*x+c)**5/(a+b*tanh(d*x+c)**2),x)","\begin{cases} \tilde{\infty} x \tanh^{3}{\left(c \right)} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\\frac{x - \frac{\log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{\tanh^{4}{\left(c + d x \right)}}{4 d} - \frac{\tanh^{2}{\left(c + d x \right)}}{2 d}}{a} & \text{for}\: b = 0 \\\frac{4 d x \tanh^{2}{\left(c + d x \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} - \frac{4 d x}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} - \frac{4 \log{\left(\tanh{\left(c + d x \right)} + 1 \right)} \tanh^{2}{\left(c + d x \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} + \frac{4 \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} - \frac{\tanh^{4}{\left(c + d x \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} + \frac{2}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} & \text{for}\: a = - b \\\frac{x \tanh^{5}{\left(c \right)}}{a + b \tanh^{2}{\left(c \right)}} & \text{for}\: d = 0 \\\frac{a^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{2 a b^{2} d + 2 b^{3} d} + \frac{a^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{2 a b^{2} d + 2 b^{3} d} - \frac{a b \tanh^{2}{\left(c + d x \right)}}{2 a b^{2} d + 2 b^{3} d} + \frac{2 b^{2} d x}{2 a b^{2} d + 2 b^{3} d} - \frac{2 b^{2} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{2 a b^{2} d + 2 b^{3} d} - \frac{b^{2} \tanh^{2}{\left(c + d x \right)}}{2 a b^{2} d + 2 b^{3} d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x*tanh(c)**3, Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), ((x - log(tanh(c + d*x) + 1)/d - tanh(c + d*x)**4/(4*d) - tanh(c + d*x)**2/(2*d))/a, Eq(b, 0)), (4*d*x*tanh(c + d*x)**2/(2*b*d*tanh(c + d*x)**2 - 2*b*d) - 4*d*x/(2*b*d*tanh(c + d*x)**2 - 2*b*d) - 4*log(tanh(c + d*x) + 1)*tanh(c + d*x)**2/(2*b*d*tanh(c + d*x)**2 - 2*b*d) + 4*log(tanh(c + d*x) + 1)/(2*b*d*tanh(c + d*x)**2 - 2*b*d) - tanh(c + d*x)**4/(2*b*d*tanh(c + d*x)**2 - 2*b*d) + 2/(2*b*d*tanh(c + d*x)**2 - 2*b*d), Eq(a, -b)), (x*tanh(c)**5/(a + b*tanh(c)**2), Eq(d, 0)), (a**2*log(-I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(2*a*b**2*d + 2*b**3*d) + a**2*log(I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(2*a*b**2*d + 2*b**3*d) - a*b*tanh(c + d*x)**2/(2*a*b**2*d + 2*b**3*d) + 2*b**2*d*x/(2*a*b**2*d + 2*b**3*d) - 2*b**2*log(tanh(c + d*x) + 1)/(2*a*b**2*d + 2*b**3*d) - b**2*tanh(c + d*x)**2/(2*a*b**2*d + 2*b**3*d), True))","A",0
171,1,495,0,11.281076," ","integrate(tanh(d*x+c)**4/(a+b*tanh(d*x+c)**2),x)","\begin{cases} \tilde{\infty} x \tanh^{2}{\left(c \right)} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\\frac{x - \frac{\tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{\tanh{\left(c + d x \right)}}{d}}{a} & \text{for}\: b = 0 \\\frac{x - \frac{\tanh{\left(c + d x \right)}}{d}}{b} & \text{for}\: a = 0 \\\frac{3 d x \tanh^{2}{\left(c + d x \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} - \frac{3 d x}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} - \frac{2 \tanh^{3}{\left(c + d x \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} + \frac{3 \tanh{\left(c + d x \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} & \text{for}\: a = - b \\\frac{x \tanh^{4}{\left(c \right)}}{a + b \tanh^{2}{\left(c \right)}} & \text{for}\: d = 0 \\- \frac{2 i a^{\frac{3}{2}} b \sqrt{\frac{1}{b}} \tanh{\left(c + d x \right)}}{2 i a^{\frac{3}{2}} b^{2} d \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{3} d \sqrt{\frac{1}{b}}} + \frac{2 i \sqrt{a} b^{2} d x \sqrt{\frac{1}{b}}}{2 i a^{\frac{3}{2}} b^{2} d \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{3} d \sqrt{\frac{1}{b}}} - \frac{2 i \sqrt{a} b^{2} \sqrt{\frac{1}{b}} \tanh{\left(c + d x \right)}}{2 i a^{\frac{3}{2}} b^{2} d \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{3} d \sqrt{\frac{1}{b}}} + \frac{a^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{2 i a^{\frac{3}{2}} b^{2} d \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{3} d \sqrt{\frac{1}{b}}} - \frac{a^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{2 i a^{\frac{3}{2}} b^{2} d \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{3} d \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x*tanh(c)**2, Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), ((x - tanh(c + d*x)**3/(3*d) - tanh(c + d*x)/d)/a, Eq(b, 0)), ((x - tanh(c + d*x)/d)/b, Eq(a, 0)), (3*d*x*tanh(c + d*x)**2/(2*b*d*tanh(c + d*x)**2 - 2*b*d) - 3*d*x/(2*b*d*tanh(c + d*x)**2 - 2*b*d) - 2*tanh(c + d*x)**3/(2*b*d*tanh(c + d*x)**2 - 2*b*d) + 3*tanh(c + d*x)/(2*b*d*tanh(c + d*x)**2 - 2*b*d), Eq(a, -b)), (x*tanh(c)**4/(a + b*tanh(c)**2), Eq(d, 0)), (-2*I*a**(3/2)*b*sqrt(1/b)*tanh(c + d*x)/(2*I*a**(3/2)*b**2*d*sqrt(1/b) + 2*I*sqrt(a)*b**3*d*sqrt(1/b)) + 2*I*sqrt(a)*b**2*d*x*sqrt(1/b)/(2*I*a**(3/2)*b**2*d*sqrt(1/b) + 2*I*sqrt(a)*b**3*d*sqrt(1/b)) - 2*I*sqrt(a)*b**2*sqrt(1/b)*tanh(c + d*x)/(2*I*a**(3/2)*b**2*d*sqrt(1/b) + 2*I*sqrt(a)*b**3*d*sqrt(1/b)) + a**2*log(-I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(2*I*a**(3/2)*b**2*d*sqrt(1/b) + 2*I*sqrt(a)*b**3*d*sqrt(1/b)) - a**2*log(I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(2*I*a**(3/2)*b**2*d*sqrt(1/b) + 2*I*sqrt(a)*b**3*d*sqrt(1/b)), True))","A",0
172,1,316,0,9.647233," ","integrate(tanh(d*x+c)**3/(a+b*tanh(d*x+c)**2),x)","\begin{cases} \tilde{\infty} x \tanh{\left(c \right)} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\\frac{2 d x \tanh^{2}{\left(c + d x \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} - \frac{2 d x}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} - \frac{2 \log{\left(\tanh{\left(c + d x \right)} + 1 \right)} \tanh^{2}{\left(c + d x \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} + \frac{2 \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} + \frac{1}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} & \text{for}\: a = - b \\\frac{x - \frac{\log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{\tanh^{2}{\left(c + d x \right)}}{2 d}}{a} & \text{for}\: b = 0 \\\frac{x \tanh^{3}{\left(c \right)}}{a + b \tanh^{2}{\left(c \right)}} & \text{for}\: d = 0 \\- \frac{a \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{2 a b d + 2 b^{2} d} - \frac{a \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{2 a b d + 2 b^{2} d} + \frac{2 b d x}{2 a b d + 2 b^{2} d} - \frac{2 b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{2 a b d + 2 b^{2} d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x*tanh(c), Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), (2*d*x*tanh(c + d*x)**2/(2*b*d*tanh(c + d*x)**2 - 2*b*d) - 2*d*x/(2*b*d*tanh(c + d*x)**2 - 2*b*d) - 2*log(tanh(c + d*x) + 1)*tanh(c + d*x)**2/(2*b*d*tanh(c + d*x)**2 - 2*b*d) + 2*log(tanh(c + d*x) + 1)/(2*b*d*tanh(c + d*x)**2 - 2*b*d) + 1/(2*b*d*tanh(c + d*x)**2 - 2*b*d), Eq(a, -b)), ((x - log(tanh(c + d*x) + 1)/d - tanh(c + d*x)**2/(2*d))/a, Eq(b, 0)), (x*tanh(c)**3/(a + b*tanh(c)**2), Eq(d, 0)), (-a*log(-I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(2*a*b*d + 2*b**2*d) - a*log(I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(2*a*b*d + 2*b**2*d) + 2*b*d*x/(2*a*b*d + 2*b**2*d) - 2*b*log(tanh(c + d*x) + 1)/(2*a*b*d + 2*b**2*d), True))","A",0
173,1,294,0,8.966393," ","integrate(tanh(d*x+c)**2/(a+b*tanh(d*x+c)**2),x)","\begin{cases} \tilde{\infty} x & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\\frac{x}{b} & \text{for}\: a = 0 \\\frac{d x \tanh^{2}{\left(c + d x \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} - \frac{d x}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} + \frac{\tanh{\left(c + d x \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} & \text{for}\: a = - b \\\frac{x \tanh^{2}{\left(c \right)}}{a + b \tanh^{2}{\left(c \right)}} & \text{for}\: d = 0 \\\frac{x - \frac{\tanh{\left(c + d x \right)}}{d}}{a} & \text{for}\: b = 0 \\\frac{2 i \sqrt{a} b d x \sqrt{\frac{1}{b}}}{2 i a^{\frac{3}{2}} b d \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{2} d \sqrt{\frac{1}{b}}} - \frac{a \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{2 i a^{\frac{3}{2}} b d \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{2} d \sqrt{\frac{1}{b}}} + \frac{a \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{2 i a^{\frac{3}{2}} b d \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b^{2} d \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), (x/b, Eq(a, 0)), (d*x*tanh(c + d*x)**2/(2*b*d*tanh(c + d*x)**2 - 2*b*d) - d*x/(2*b*d*tanh(c + d*x)**2 - 2*b*d) + tanh(c + d*x)/(2*b*d*tanh(c + d*x)**2 - 2*b*d), Eq(a, -b)), (x*tanh(c)**2/(a + b*tanh(c)**2), Eq(d, 0)), ((x - tanh(c + d*x)/d)/a, Eq(b, 0)), (2*I*sqrt(a)*b*d*x*sqrt(1/b)/(2*I*a**(3/2)*b*d*sqrt(1/b) + 2*I*sqrt(a)*b**2*d*sqrt(1/b)) - a*log(-I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(2*I*a**(3/2)*b*d*sqrt(1/b) + 2*I*sqrt(a)*b**2*d*sqrt(1/b)) + a*log(I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(2*I*a**(3/2)*b*d*sqrt(1/b) + 2*I*sqrt(a)*b**2*d*sqrt(1/b)), True))","A",0
174,1,156,0,8.830233," ","integrate(tanh(d*x+c)/(a+b*tanh(d*x+c)**2),x)","\begin{cases} \frac{\tilde{\infty} x}{\tanh{\left(c \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\\frac{1}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} & \text{for}\: a = - b \\\frac{x \tanh{\left(c \right)}}{a + b \tanh^{2}{\left(c \right)}} & \text{for}\: d = 0 \\\frac{x - \frac{\log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d}}{a} & \text{for}\: b = 0 \\\frac{2 d x}{2 a d + 2 b d} + \frac{\log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{2 a d + 2 b d} + \frac{\log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{2 a d + 2 b d} - \frac{2 \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{2 a d + 2 b d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x/tanh(c), Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), (1/(2*b*d*tanh(c + d*x)**2 - 2*b*d), Eq(a, -b)), (x*tanh(c)/(a + b*tanh(c)**2), Eq(d, 0)), ((x - log(tanh(c + d*x) + 1)/d)/a, Eq(b, 0)), (2*d*x/(2*a*d + 2*b*d) + log(-I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(2*a*d + 2*b*d) + log(I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(2*a*d + 2*b*d) - 2*log(tanh(c + d*x) + 1)/(2*a*d + 2*b*d), True))","A",0
175,1,280,0,8.956686," ","integrate(1/(a+b*tanh(d*x+c)**2),x)","\begin{cases} \frac{\tilde{\infty} x}{\tanh^{2}{\left(c \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\\frac{x}{a} & \text{for}\: b = 0 \\\frac{x - \frac{1}{d \tanh{\left(c + d x \right)}}}{b} & \text{for}\: a = 0 \\- \frac{d x \tanh^{2}{\left(c + d x \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} + \frac{d x}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} + \frac{\tanh{\left(c + d x \right)}}{2 b d \tanh^{2}{\left(c + d x \right)} - 2 b d} & \text{for}\: a = - b \\\frac{x}{a + b \tanh^{2}{\left(c \right)}} & \text{for}\: d = 0 \\\frac{2 i \sqrt{a} d x \sqrt{\frac{1}{b}}}{2 i a^{\frac{3}{2}} d \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b d \sqrt{\frac{1}{b}}} + \frac{\log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{2 i a^{\frac{3}{2}} d \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b d \sqrt{\frac{1}{b}}} - \frac{\log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{2 i a^{\frac{3}{2}} d \sqrt{\frac{1}{b}} + 2 i \sqrt{a} b d \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x/tanh(c)**2, Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), (x/a, Eq(b, 0)), ((x - 1/(d*tanh(c + d*x)))/b, Eq(a, 0)), (-d*x*tanh(c + d*x)**2/(2*b*d*tanh(c + d*x)**2 - 2*b*d) + d*x/(2*b*d*tanh(c + d*x)**2 - 2*b*d) + tanh(c + d*x)/(2*b*d*tanh(c + d*x)**2 - 2*b*d), Eq(a, -b)), (x/(a + b*tanh(c)**2), Eq(d, 0)), (2*I*sqrt(a)*d*x*sqrt(1/b)/(2*I*a**(3/2)*d*sqrt(1/b) + 2*I*sqrt(a)*b*d*sqrt(1/b)) + log(-I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(2*I*a**(3/2)*d*sqrt(1/b) + 2*I*sqrt(a)*b*d*sqrt(1/b)) - log(I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(2*I*a**(3/2)*d*sqrt(1/b) + 2*I*sqrt(a)*b*d*sqrt(1/b)), True))","A",0
176,0,0,0,0.000000," ","integrate(coth(d*x+c)/(a+b*tanh(d*x+c)**2),x)","\int \frac{\coth{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(coth(c + d*x)/(a + b*tanh(c + d*x)**2), x)","F",0
177,0,0,0,0.000000," ","integrate(coth(d*x+c)**2/(a+b*tanh(d*x+c)**2),x)","\int \frac{\coth^{2}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(coth(c + d*x)**2/(a + b*tanh(c + d*x)**2), x)","F",0
178,0,0,0,0.000000," ","integrate(coth(d*x+c)**3/(a+b*tanh(d*x+c)**2),x)","\int \frac{\coth^{3}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(coth(c + d*x)**3/(a + b*tanh(c + d*x)**2), x)","F",0
179,0,0,0,0.000000," ","integrate(coth(d*x+c)**4/(a+b*tanh(d*x+c)**2),x)","\int \frac{\coth^{4}{\left(c + d x \right)}}{a + b \tanh^{2}{\left(c + d x \right)}}\, dx"," ",0,"Integral(coth(c + d*x)**4/(a + b*tanh(c + d*x)**2), x)","F",0
180,-1,0,0,0.000000," ","integrate(tanh(d*x+c)**5/(a+b*tanh(d*x+c)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
181,-1,0,0,0.000000," ","integrate(tanh(d*x+c)**4/(a+b*tanh(d*x+c)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
182,-1,0,0,0.000000," ","integrate(tanh(d*x+c)**3/(a+b*tanh(d*x+c)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
183,-1,0,0,0.000000," ","integrate(tanh(d*x+c)**2/(a+b*tanh(d*x+c)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
184,-1,0,0,0.000000," ","integrate(tanh(d*x+c)/(a+b*tanh(d*x+c)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
185,0,0,0,0.000000," ","integrate(1/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{1}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*tanh(c + d*x)**2)**(-2), x)","F",0
186,0,0,0,0.000000," ","integrate(coth(d*x+c)/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{\coth{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(coth(c + d*x)/(a + b*tanh(c + d*x)**2)**2, x)","F",0
187,0,0,0,0.000000," ","integrate(coth(d*x+c)**2/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{\coth^{2}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(coth(c + d*x)**2/(a + b*tanh(c + d*x)**2)**2, x)","F",0
188,0,0,0,0.000000," ","integrate(coth(d*x+c)**3/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{\coth^{3}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(coth(c + d*x)**3/(a + b*tanh(c + d*x)**2)**2, x)","F",0
189,0,0,0,0.000000," ","integrate(coth(d*x+c)**4/(a+b*tanh(d*x+c)**2)**2,x)","\int \frac{\coth^{4}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{2}}\, dx"," ",0,"Integral(coth(c + d*x)**4/(a + b*tanh(c + d*x)**2)**2, x)","F",0
190,-1,0,0,0.000000," ","integrate(tanh(d*x+c)**6/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
191,1,3937,0,157.941480," ","integrate(tanh(d*x+c)**5/(a+b*tanh(d*x+c)**2)**3,x)","\begin{cases} \frac{\tilde{\infty} x}{\tanh{\left(c \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\\frac{x - \frac{\log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{\tanh^{4}{\left(c + d x \right)}}{4 d} - \frac{\tanh^{2}{\left(c + d x \right)}}{2 d}}{a^{3}} & \text{for}\: b = 0 \\\frac{3 \tanh^{4}{\left(c + d x \right)}}{6 b^{3} d \tanh^{6}{\left(c + d x \right)} - 18 b^{3} d \tanh^{4}{\left(c + d x \right)} + 18 b^{3} d \tanh^{2}{\left(c + d x \right)} - 6 b^{3} d} - \frac{3 \tanh^{2}{\left(c + d x \right)}}{6 b^{3} d \tanh^{6}{\left(c + d x \right)} - 18 b^{3} d \tanh^{4}{\left(c + d x \right)} + 18 b^{3} d \tanh^{2}{\left(c + d x \right)} - 6 b^{3} d} + \frac{1}{6 b^{3} d \tanh^{6}{\left(c + d x \right)} - 18 b^{3} d \tanh^{4}{\left(c + d x \right)} + 18 b^{3} d \tanh^{2}{\left(c + d x \right)} - 6 b^{3} d} & \text{for}\: a = - b \\\frac{x \tanh^{5}{\left(c \right)}}{\left(a + b \tanh^{2}{\left(c \right)}\right)^{3}} & \text{for}\: d = 0 \\\frac{a^{4}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} + \frac{2 a^{3} b \tanh^{2}{\left(c + d x \right)}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} + \frac{4 a^{3} b}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} + \frac{4 a^{2} b^{2} d x}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} + \frac{2 a^{2} b^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} + \frac{2 a^{2} b^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} - \frac{4 a^{2} b^{2} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} + \frac{6 a^{2} b^{2} \tanh^{2}{\left(c + d x \right)}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} + \frac{3 a^{2} b^{2}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} + \frac{8 a b^{3} d x \tanh^{2}{\left(c + d x \right)}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} + \frac{4 a b^{3} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)} \tanh^{2}{\left(c + d x \right)}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} + \frac{4 a b^{3} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)} \tanh^{2}{\left(c + d x \right)}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} - \frac{8 a b^{3} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)} \tanh^{2}{\left(c + d x \right)}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} + \frac{4 a b^{3} \tanh^{2}{\left(c + d x \right)}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} + \frac{4 b^{4} d x \tanh^{4}{\left(c + d x \right)}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} + \frac{2 b^{4} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)} \tanh^{4}{\left(c + d x \right)}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} + \frac{2 b^{4} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)} \tanh^{4}{\left(c + d x \right)}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} - \frac{4 b^{4} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)} \tanh^{4}{\left(c + d x \right)}}{4 a^{5} b^{2} d + 8 a^{4} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{3} d + 4 a^{3} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{4} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{4} d + 12 a^{2} b^{5} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{5} d + 12 a b^{6} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{6} d \tanh^{2}{\left(c + d x \right)} + 4 b^{7} d \tanh^{4}{\left(c + d x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x/tanh(c), Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), ((x - log(tanh(c + d*x) + 1)/d - tanh(c + d*x)**4/(4*d) - tanh(c + d*x)**2/(2*d))/a**3, Eq(b, 0)), (3*tanh(c + d*x)**4/(6*b**3*d*tanh(c + d*x)**6 - 18*b**3*d*tanh(c + d*x)**4 + 18*b**3*d*tanh(c + d*x)**2 - 6*b**3*d) - 3*tanh(c + d*x)**2/(6*b**3*d*tanh(c + d*x)**6 - 18*b**3*d*tanh(c + d*x)**4 + 18*b**3*d*tanh(c + d*x)**2 - 6*b**3*d) + 1/(6*b**3*d*tanh(c + d*x)**6 - 18*b**3*d*tanh(c + d*x)**4 + 18*b**3*d*tanh(c + d*x)**2 - 6*b**3*d), Eq(a, -b)), (x*tanh(c)**5/(a + b*tanh(c)**2)**3, Eq(d, 0)), (a**4/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) + 2*a**3*b*tanh(c + d*x)**2/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) + 4*a**3*b/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) + 4*a**2*b**2*d*x/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) + 2*a**2*b**2*log(-I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) + 2*a**2*b**2*log(I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) - 4*a**2*b**2*log(tanh(c + d*x) + 1)/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) + 6*a**2*b**2*tanh(c + d*x)**2/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) + 3*a**2*b**2/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) + 8*a*b**3*d*x*tanh(c + d*x)**2/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) + 4*a*b**3*log(-I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))*tanh(c + d*x)**2/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) + 4*a*b**3*log(I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))*tanh(c + d*x)**2/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) - 8*a*b**3*log(tanh(c + d*x) + 1)*tanh(c + d*x)**2/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) + 4*a*b**3*tanh(c + d*x)**2/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) + 4*b**4*d*x*tanh(c + d*x)**4/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) + 2*b**4*log(-I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))*tanh(c + d*x)**4/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) + 2*b**4*log(I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))*tanh(c + d*x)**4/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4) - 4*b**4*log(tanh(c + d*x) + 1)*tanh(c + d*x)**4/(4*a**5*b**2*d + 8*a**4*b**3*d*tanh(c + d*x)**2 + 12*a**4*b**3*d + 4*a**3*b**4*d*tanh(c + d*x)**4 + 24*a**3*b**4*d*tanh(c + d*x)**2 + 12*a**3*b**4*d + 12*a**2*b**5*d*tanh(c + d*x)**4 + 24*a**2*b**5*d*tanh(c + d*x)**2 + 4*a**2*b**5*d + 12*a*b**6*d*tanh(c + d*x)**4 + 8*a*b**6*d*tanh(c + d*x)**2 + 4*b**7*d*tanh(c + d*x)**4), True))","A",0
192,-1,0,0,0.000000," ","integrate(tanh(d*x+c)**4/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
193,1,3434,0,157.413466," ","integrate(tanh(d*x+c)**3/(a+b*tanh(d*x+c)**2)**3,x)","\begin{cases} \frac{\tilde{\infty} x}{\tanh^{3}{\left(c \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\\frac{x - \frac{\log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{\tanh^{2}{\left(c + d x \right)}}{2 d}}{a^{3}} & \text{for}\: b = 0 \\\frac{3 \tanh^{2}{\left(c + d x \right)}}{12 b^{3} d \tanh^{6}{\left(c + d x \right)} - 36 b^{3} d \tanh^{4}{\left(c + d x \right)} + 36 b^{3} d \tanh^{2}{\left(c + d x \right)} - 12 b^{3} d} - \frac{1}{12 b^{3} d \tanh^{6}{\left(c + d x \right)} - 36 b^{3} d \tanh^{4}{\left(c + d x \right)} + 36 b^{3} d \tanh^{2}{\left(c + d x \right)} - 12 b^{3} d} & \text{for}\: a = - b \\\frac{x \tanh^{3}{\left(c \right)}}{\left(a + b \tanh^{2}{\left(c \right)}\right)^{3}} & \text{for}\: d = 0 \\\frac{a^{3}}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} + \frac{4 a^{2} b d x}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} + \frac{2 a^{2} b \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} + \frac{2 a^{2} b \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} - \frac{4 a^{2} b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} + \frac{8 a b^{2} d x \tanh^{2}{\left(c + d x \right)}}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} + \frac{4 a b^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)} \tanh^{2}{\left(c + d x \right)}}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} + \frac{4 a b^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)} \tanh^{2}{\left(c + d x \right)}}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} - \frac{8 a b^{2} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)} \tanh^{2}{\left(c + d x \right)}}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} - \frac{2 a b^{2} \tanh^{2}{\left(c + d x \right)}}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} - \frac{a b^{2}}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} + \frac{4 b^{3} d x \tanh^{4}{\left(c + d x \right)}}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} + \frac{2 b^{3} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)} \tanh^{4}{\left(c + d x \right)}}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} + \frac{2 b^{3} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)} \tanh^{4}{\left(c + d x \right)}}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} - \frac{4 b^{3} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)} \tanh^{4}{\left(c + d x \right)}}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} - \frac{2 b^{3} \tanh^{2}{\left(c + d x \right)}}{4 a^{5} b d + 8 a^{4} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b^{2} d + 4 a^{3} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{3} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{3} d + 12 a^{2} b^{4} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{4} d + 12 a b^{5} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{5} d \tanh^{2}{\left(c + d x \right)} + 4 b^{6} d \tanh^{4}{\left(c + d x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x/tanh(c)**3, Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), ((x - log(tanh(c + d*x) + 1)/d - tanh(c + d*x)**2/(2*d))/a**3, Eq(b, 0)), (3*tanh(c + d*x)**2/(12*b**3*d*tanh(c + d*x)**6 - 36*b**3*d*tanh(c + d*x)**4 + 36*b**3*d*tanh(c + d*x)**2 - 12*b**3*d) - 1/(12*b**3*d*tanh(c + d*x)**6 - 36*b**3*d*tanh(c + d*x)**4 + 36*b**3*d*tanh(c + d*x)**2 - 12*b**3*d), Eq(a, -b)), (x*tanh(c)**3/(a + b*tanh(c)**2)**3, Eq(d, 0)), (a**3/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4) + 4*a**2*b*d*x/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4) + 2*a**2*b*log(-I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4) + 2*a**2*b*log(I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4) - 4*a**2*b*log(tanh(c + d*x) + 1)/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4) + 8*a*b**2*d*x*tanh(c + d*x)**2/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4) + 4*a*b**2*log(-I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))*tanh(c + d*x)**2/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4) + 4*a*b**2*log(I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))*tanh(c + d*x)**2/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4) - 8*a*b**2*log(tanh(c + d*x) + 1)*tanh(c + d*x)**2/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4) - 2*a*b**2*tanh(c + d*x)**2/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4) - a*b**2/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4) + 4*b**3*d*x*tanh(c + d*x)**4/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4) + 2*b**3*log(-I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))*tanh(c + d*x)**4/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4) + 2*b**3*log(I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))*tanh(c + d*x)**4/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4) - 4*b**3*log(tanh(c + d*x) + 1)*tanh(c + d*x)**4/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4) - 2*b**3*tanh(c + d*x)**2/(4*a**5*b*d + 8*a**4*b**2*d*tanh(c + d*x)**2 + 12*a**4*b**2*d + 4*a**3*b**3*d*tanh(c + d*x)**4 + 24*a**3*b**3*d*tanh(c + d*x)**2 + 12*a**3*b**3*d + 12*a**2*b**4*d*tanh(c + d*x)**4 + 24*a**2*b**4*d*tanh(c + d*x)**2 + 4*a**2*b**4*d + 12*a*b**5*d*tanh(c + d*x)**4 + 8*a*b**5*d*tanh(c + d*x)**2 + 4*b**6*d*tanh(c + d*x)**4), True))","A",0
194,-1,0,0,0.000000," ","integrate(tanh(d*x+c)**2/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
195,1,3442,0,157.268924," ","integrate(tanh(d*x+c)/(a+b*tanh(d*x+c)**2)**3,x)","\begin{cases} \frac{\tilde{\infty} x}{\tanh^{5}{\left(c \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\\frac{x - \frac{\log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d}}{a^{3}} & \text{for}\: b = 0 \\\frac{1}{6 b^{3} d \tanh^{6}{\left(c + d x \right)} - 18 b^{3} d \tanh^{4}{\left(c + d x \right)} + 18 b^{3} d \tanh^{2}{\left(c + d x \right)} - 6 b^{3} d} & \text{for}\: a = - b \\\frac{x \tanh{\left(c \right)}}{\left(a + b \tanh^{2}{\left(c \right)}\right)^{3}} & \text{for}\: d = 0 \\\frac{4 a^{2} d x}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} + \frac{2 a^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} + \frac{2 a^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)}}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} - \frac{4 a^{2} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} - \frac{3 a^{2}}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} + \frac{8 a b d x \tanh^{2}{\left(c + d x \right)}}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} + \frac{4 a b \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)} \tanh^{2}{\left(c + d x \right)}}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} + \frac{4 a b \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)} \tanh^{2}{\left(c + d x \right)}}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} - \frac{8 a b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)} \tanh^{2}{\left(c + d x \right)}}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} - \frac{2 a b \tanh^{2}{\left(c + d x \right)}}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} - \frac{4 a b}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} + \frac{4 b^{2} d x \tanh^{4}{\left(c + d x \right)}}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} + \frac{2 b^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)} \tanh^{4}{\left(c + d x \right)}}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} + \frac{2 b^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + \tanh{\left(c + d x \right)} \right)} \tanh^{4}{\left(c + d x \right)}}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} - \frac{4 b^{2} \log{\left(\tanh{\left(c + d x \right)} + 1 \right)} \tanh^{4}{\left(c + d x \right)}}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} - \frac{2 b^{2} \tanh^{2}{\left(c + d x \right)}}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} - \frac{b^{2}}{4 a^{5} d + 8 a^{4} b d \tanh^{2}{\left(c + d x \right)} + 12 a^{4} b d + 4 a^{3} b^{2} d \tanh^{4}{\left(c + d x \right)} + 24 a^{3} b^{2} d \tanh^{2}{\left(c + d x \right)} + 12 a^{3} b^{2} d + 12 a^{2} b^{3} d \tanh^{4}{\left(c + d x \right)} + 24 a^{2} b^{3} d \tanh^{2}{\left(c + d x \right)} + 4 a^{2} b^{3} d + 12 a b^{4} d \tanh^{4}{\left(c + d x \right)} + 8 a b^{4} d \tanh^{2}{\left(c + d x \right)} + 4 b^{5} d \tanh^{4}{\left(c + d x \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x/tanh(c)**5, Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), ((x - log(tanh(c + d*x) + 1)/d)/a**3, Eq(b, 0)), (1/(6*b**3*d*tanh(c + d*x)**6 - 18*b**3*d*tanh(c + d*x)**4 + 18*b**3*d*tanh(c + d*x)**2 - 6*b**3*d), Eq(a, -b)), (x*tanh(c)/(a + b*tanh(c)**2)**3, Eq(d, 0)), (4*a**2*d*x/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) + 2*a**2*log(-I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) + 2*a**2*log(I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) - 4*a**2*log(tanh(c + d*x) + 1)/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) - 3*a**2/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) + 8*a*b*d*x*tanh(c + d*x)**2/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) + 4*a*b*log(-I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))*tanh(c + d*x)**2/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) + 4*a*b*log(I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))*tanh(c + d*x)**2/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) - 8*a*b*log(tanh(c + d*x) + 1)*tanh(c + d*x)**2/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) - 2*a*b*tanh(c + d*x)**2/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) - 4*a*b/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) + 4*b**2*d*x*tanh(c + d*x)**4/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) + 2*b**2*log(-I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))*tanh(c + d*x)**4/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) + 2*b**2*log(I*sqrt(a)*sqrt(1/b) + tanh(c + d*x))*tanh(c + d*x)**4/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) - 4*b**2*log(tanh(c + d*x) + 1)*tanh(c + d*x)**4/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) - 2*b**2*tanh(c + d*x)**2/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4) - b**2/(4*a**5*d + 8*a**4*b*d*tanh(c + d*x)**2 + 12*a**4*b*d + 4*a**3*b**2*d*tanh(c + d*x)**4 + 24*a**3*b**2*d*tanh(c + d*x)**2 + 12*a**3*b**2*d + 12*a**2*b**3*d*tanh(c + d*x)**4 + 24*a**2*b**3*d*tanh(c + d*x)**2 + 4*a**2*b**3*d + 12*a*b**4*d*tanh(c + d*x)**4 + 8*a*b**4*d*tanh(c + d*x)**2 + 4*b**5*d*tanh(c + d*x)**4), True))","A",0
196,-1,0,0,0.000000," ","integrate(1/(a+b*tanh(d*x+c)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
197,0,0,0,0.000000," ","integrate(coth(d*x+c)/(a+b*tanh(d*x+c)**2)**3,x)","\int \frac{\coth{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(coth(c + d*x)/(a + b*tanh(c + d*x)**2)**3, x)","F",0
198,0,0,0,0.000000," ","integrate(coth(d*x+c)**2/(a+b*tanh(d*x+c)**2)**3,x)","\int \frac{\coth^{2}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(coth(c + d*x)**2/(a + b*tanh(c + d*x)**2)**3, x)","F",0
199,0,0,0,0.000000," ","integrate(coth(d*x+c)**3/(a+b*tanh(d*x+c)**2)**3,x)","\int \frac{\coth^{3}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(coth(c + d*x)**3/(a + b*tanh(c + d*x)**2)**3, x)","F",0
200,0,0,0,0.000000," ","integrate(coth(d*x+c)**4/(a+b*tanh(d*x+c)**2)**3,x)","\int \frac{\coth^{4}{\left(c + d x \right)}}{\left(a + b \tanh^{2}{\left(c + d x \right)}\right)^{3}}\, dx"," ",0,"Integral(coth(c + d*x)**4/(a + b*tanh(c + d*x)**2)**3, x)","F",0
201,-1,0,0,0.000000," ","integrate(1/(a+b*tanh(d*x+c)**2)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
202,0,0,0,0.000000," ","integrate((1-tanh(x)**2)**(1/2),x)","\int \sqrt{1 - \tanh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(1 - tanh(x)**2), x)","F",0
203,0,0,0,0.000000," ","integrate((-1+tanh(x)**2)**(1/2),x)","\int \sqrt{\tanh^{2}{\left(x \right)} - 1}\, dx"," ",0,"Integral(sqrt(tanh(x)**2 - 1), x)","F",0
204,0,0,0,0.000000," ","integrate((1-tanh(x)**2)**(3/2),x)","\int \left(1 - \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((1 - tanh(x)**2)**(3/2), x)","F",0
205,0,0,0,0.000000," ","integrate((-1+tanh(x)**2)**(3/2),x)","\int \left(\tanh^{2}{\left(x \right)} - 1\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((tanh(x)**2 - 1)**(3/2), x)","F",0
206,1,12,0,0.405384," ","integrate(1/(1-tanh(x)**2)**(1/2),x)","\frac{\tanh{\left(x \right)}}{\sqrt{1 - \tanh^{2}{\left(x \right)}}}"," ",0,"tanh(x)/sqrt(1 - tanh(x)**2)","A",0
207,0,0,0,0.000000," ","integrate(1/(-1+tanh(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{\tanh^{2}{\left(x \right)} - 1}}\, dx"," ",0,"Integral(1/sqrt(tanh(x)**2 - 1), x)","F",0
208,1,97,0,6.393242," ","integrate((a+b*tanh(x)**2)**(1/2)*tanh(x)**5,x)","- \frac{2 \left(\frac{b^{3} \sqrt{a + b \tanh^{2}{\left(x \right)}}}{2} + \frac{b^{3} \left(a + b\right) \operatorname{atan}{\left(\frac{\sqrt{a + b \tanh^{2}{\left(x \right)}}}{\sqrt{- a - b}} \right)}}{2 \sqrt{- a - b}} + \frac{b \left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{5}{2}}}{10} + \frac{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}} \left(- \frac{a b}{2} + \frac{b^{2}}{2}\right)}{3}\right)}{b^{3}}"," ",0,"-2*(b**3*sqrt(a + b*tanh(x)**2)/2 + b**3*(a + b)*atan(sqrt(a + b*tanh(x)**2)/sqrt(-a - b))/(2*sqrt(-a - b)) + b*(a + b*tanh(x)**2)**(5/2)/10 + (a + b*tanh(x)**2)**(3/2)*(-a*b/2 + b**2/2)/3)/b**3","A",0
209,0,0,0,0.000000," ","integrate((a+b*tanh(x)**2)**(1/2)*tanh(x)**4,x)","\int \sqrt{a + b \tanh^{2}{\left(x \right)}} \tanh^{4}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*tanh(x)**2)*tanh(x)**4, x)","F",0
210,1,71,0,4.276541," ","integrate((a+b*tanh(x)**2)**(1/2)*tanh(x)**3,x)","- \frac{2 \left(\frac{b^{2} \sqrt{a + b \tanh^{2}{\left(x \right)}}}{2} + \frac{b^{2} \left(a + b\right) \operatorname{atan}{\left(\frac{\sqrt{a + b \tanh^{2}{\left(x \right)}}}{\sqrt{- a - b}} \right)}}{2 \sqrt{- a - b}} + \frac{b \left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}}}{6}\right)}{b^{2}}"," ",0,"-2*(b**2*sqrt(a + b*tanh(x)**2)/2 + b**2*(a + b)*atan(sqrt(a + b*tanh(x)**2)/sqrt(-a - b))/(2*sqrt(-a - b)) + b*(a + b*tanh(x)**2)**(3/2)/6)/b**2","A",0
211,0,0,0,0.000000," ","integrate((a+b*tanh(x)**2)**(1/2)*tanh(x)**2,x)","\int \sqrt{a + b \tanh^{2}{\left(x \right)}} \tanh^{2}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*tanh(x)**2)*tanh(x)**2, x)","F",0
212,1,51,0,2.256562," ","integrate((a+b*tanh(x)**2)**(1/2)*tanh(x),x)","- \frac{2 \left(\frac{b \sqrt{a + b \tanh^{2}{\left(x \right)}}}{2} + \frac{b \left(a + b\right) \operatorname{atan}{\left(\frac{\sqrt{a + b \tanh^{2}{\left(x \right)}}}{\sqrt{- a - b}} \right)}}{2 \sqrt{- a - b}}\right)}{b}"," ",0,"-2*(b*sqrt(a + b*tanh(x)**2)/2 + b*(a + b)*atan(sqrt(a + b*tanh(x)**2)/sqrt(-a - b))/(2*sqrt(-a - b)))/b","A",0
213,0,0,0,0.000000," ","integrate((a+b*tanh(x)**2)**(1/2),x)","\int \sqrt{a + b \tanh^{2}{\left(x \right)}}\, dx"," ",0,"Integral(sqrt(a + b*tanh(x)**2), x)","F",0
214,0,0,0,0.000000," ","integrate(coth(x)*(a+b*tanh(x)**2)**(1/2),x)","\int \sqrt{a + b \tanh^{2}{\left(x \right)}} \coth{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*tanh(x)**2)*coth(x), x)","F",0
215,0,0,0,0.000000," ","integrate(coth(x)**2*(a+b*tanh(x)**2)**(1/2),x)","\int \sqrt{a + b \tanh^{2}{\left(x \right)}} \coth^{2}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*tanh(x)**2)*coth(x)**2, x)","F",0
216,0,0,0,0.000000," ","integrate(coth(x)**3*(a+b*tanh(x)**2)**(1/2),x)","\int \sqrt{a + b \tanh^{2}{\left(x \right)}} \coth^{3}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*tanh(x)**2)*coth(x)**3, x)","F",0
217,0,0,0,0.000000," ","integrate(coth(x)**4*(a+b*tanh(x)**2)**(1/2),x)","\int \sqrt{a + b \tanh^{2}{\left(x \right)}} \coth^{4}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*tanh(x)**2)*coth(x)**4, x)","F",0
218,0,0,0,0.000000," ","integrate(coth(x)**5*(a+b*tanh(x)**2)**(1/2),x)","\int \sqrt{a + b \tanh^{2}{\left(x \right)}} \coth^{5}{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*tanh(x)**2)*coth(x)**5, x)","F",0
219,1,175,0,29.540458," ","integrate(tanh(x)**3*(a+b*tanh(x)**2)**(3/2),x)","- \frac{2 a \left(\frac{b^{2} \sqrt{a + b \tanh^{2}{\left(x \right)}}}{2} + \frac{b^{2} \left(a + b\right) \operatorname{atan}{\left(\frac{\sqrt{a + b \tanh^{2}{\left(x \right)}}}{\sqrt{- a - b}} \right)}}{2 \sqrt{- a - b}} + \frac{b \left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}}}{6}\right)}{b^{2}} - \frac{2 \left(\frac{b^{3} \sqrt{a + b \tanh^{2}{\left(x \right)}}}{2} + \frac{b^{3} \left(a + b\right) \operatorname{atan}{\left(\frac{\sqrt{a + b \tanh^{2}{\left(x \right)}}}{\sqrt{- a - b}} \right)}}{2 \sqrt{- a - b}} + \frac{b \left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{5}{2}}}{10} + \frac{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}} \left(- \frac{a b}{2} + \frac{b^{2}}{2}\right)}{3}\right)}{b^{2}}"," ",0,"-2*a*(b**2*sqrt(a + b*tanh(x)**2)/2 + b**2*(a + b)*atan(sqrt(a + b*tanh(x)**2)/sqrt(-a - b))/(2*sqrt(-a - b)) + b*(a + b*tanh(x)**2)**(3/2)/6)/b**2 - 2*(b**3*sqrt(a + b*tanh(x)**2)/2 + b**3*(a + b)*atan(sqrt(a + b*tanh(x)**2)/sqrt(-a - b))/(2*sqrt(-a - b)) + b*(a + b*tanh(x)**2)**(5/2)/10 + (a + b*tanh(x)**2)**(3/2)*(-a*b/2 + b**2/2)/3)/b**2","B",0
220,0,0,0,0.000000," ","integrate(tanh(x)**2*(a+b*tanh(x)**2)**(3/2),x)","\int \left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}} \tanh^{2}{\left(x \right)}\, dx"," ",0,"Integral((a + b*tanh(x)**2)**(3/2)*tanh(x)**2, x)","F",0
221,1,128,0,17.584270," ","integrate(tanh(x)*(a+b*tanh(x)**2)**(3/2),x)","- \frac{2 a \left(\frac{b \sqrt{a + b \tanh^{2}{\left(x \right)}}}{2} + \frac{b \left(a + b\right) \operatorname{atan}{\left(\frac{\sqrt{a + b \tanh^{2}{\left(x \right)}}}{\sqrt{- a - b}} \right)}}{2 \sqrt{- a - b}}\right)}{b} - \frac{2 \left(\frac{b^{2} \sqrt{a + b \tanh^{2}{\left(x \right)}}}{2} + \frac{b^{2} \left(a + b\right) \operatorname{atan}{\left(\frac{\sqrt{a + b \tanh^{2}{\left(x \right)}}}{\sqrt{- a - b}} \right)}}{2 \sqrt{- a - b}} + \frac{b \left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}}}{6}\right)}{b}"," ",0,"-2*a*(b*sqrt(a + b*tanh(x)**2)/2 + b*(a + b)*atan(sqrt(a + b*tanh(x)**2)/sqrt(-a - b))/(2*sqrt(-a - b)))/b - 2*(b**2*sqrt(a + b*tanh(x)**2)/2 + b**2*(a + b)*atan(sqrt(a + b*tanh(x)**2)/sqrt(-a - b))/(2*sqrt(-a - b)) + b*(a + b*tanh(x)**2)**(3/2)/6)/b","B",0
222,0,0,0,0.000000," ","integrate((a+b*tanh(x)**2)**(3/2),x)","\int \left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*tanh(x)**2)**(3/2), x)","F",0
223,0,0,0,0.000000," ","integrate(coth(x)*(a+b*tanh(x)**2)**(3/2),x)","\int \left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}} \coth{\left(x \right)}\, dx"," ",0,"Integral((a + b*tanh(x)**2)**(3/2)*coth(x), x)","F",0
224,0,0,0,0.000000," ","integrate(coth(x)**2*(a+b*tanh(x)**2)**(3/2),x)","\int \left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}} \coth^{2}{\left(x \right)}\, dx"," ",0,"Integral((a + b*tanh(x)**2)**(3/2)*coth(x)**2, x)","F",0
225,0,0,0,0.000000," ","integrate((1+tanh(x)**2)**(1/2),x)","\int \sqrt{\tanh^{2}{\left(x \right)} + 1}\, dx"," ",0,"Integral(sqrt(tanh(x)**2 + 1), x)","F",0
226,0,0,0,0.000000," ","integrate((-1-tanh(x)**2)**(1/2),x)","\int \sqrt{- \tanh^{2}{\left(x \right)} - 1}\, dx"," ",0,"Integral(sqrt(-tanh(x)**2 - 1), x)","F",0
227,0,0,0,0.000000," ","integrate((1+tanh(x)**2)**(3/2),x)","\int \left(\tanh^{2}{\left(x \right)} + 1\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((tanh(x)**2 + 1)**(3/2), x)","F",0
228,0,0,0,0.000000," ","integrate((-1-tanh(x)**2)**(3/2),x)","\int \left(- \tanh^{2}{\left(x \right)} - 1\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((-tanh(x)**2 - 1)**(3/2), x)","F",0
229,0,0,0,0.000000," ","integrate(tanh(x)**5/(a+b*tanh(x)**2)**(1/2),x)","\int \frac{\tanh^{5}{\left(x \right)}}{\sqrt{a + b \tanh^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(tanh(x)**5/sqrt(a + b*tanh(x)**2), x)","F",0
230,0,0,0,0.000000," ","integrate(tanh(x)**4/(a+b*tanh(x)**2)**(1/2),x)","\int \frac{\tanh^{4}{\left(x \right)}}{\sqrt{a + b \tanh^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(tanh(x)**4/sqrt(a + b*tanh(x)**2), x)","F",0
231,0,0,0,0.000000," ","integrate(tanh(x)**3/(a+b*tanh(x)**2)**(1/2),x)","\int \frac{\tanh^{3}{\left(x \right)}}{\sqrt{a + b \tanh^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(tanh(x)**3/sqrt(a + b*tanh(x)**2), x)","F",0
232,0,0,0,0.000000," ","integrate(tanh(x)**2/(a+b*tanh(x)**2)**(1/2),x)","\int \frac{\tanh^{2}{\left(x \right)}}{\sqrt{a + b \tanh^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(tanh(x)**2/sqrt(a + b*tanh(x)**2), x)","F",0
233,1,31,0,1.296561," ","integrate(tanh(x)/(a+b*tanh(x)**2)**(1/2),x)","- \frac{\operatorname{atan}{\left(\frac{\sqrt{a + b \tanh^{2}{\left(x \right)}}}{\sqrt{- a - b}} \right)}}{\sqrt{- a - b}}"," ",0,"-atan(sqrt(a + b*tanh(x)**2)/sqrt(-a - b))/sqrt(-a - b)","A",0
234,0,0,0,0.000000," ","integrate(1/(a+b*tanh(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{a + b \tanh^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*tanh(x)**2), x)","F",0
235,0,0,0,0.000000," ","integrate(coth(x)/(a+b*tanh(x)**2)**(1/2),x)","\int \frac{\coth{\left(x \right)}}{\sqrt{a + b \tanh^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(coth(x)/sqrt(a + b*tanh(x)**2), x)","F",0
236,0,0,0,0.000000," ","integrate(coth(x)**2/(a+b*tanh(x)**2)**(1/2),x)","\int \frac{\coth^{2}{\left(x \right)}}{\sqrt{a + b \tanh^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(coth(x)**2/sqrt(a + b*tanh(x)**2), x)","F",0
237,0,0,0,0.000000," ","integrate(coth(x)**3/(a+b*tanh(x)**2)**(1/2),x)","\int \frac{\coth^{3}{\left(x \right)}}{\sqrt{a + b \tanh^{2}{\left(x \right)}}}\, dx"," ",0,"Integral(coth(x)**3/sqrt(a + b*tanh(x)**2), x)","F",0
238,0,0,0,0.000000," ","integrate(tanh(x)**5/(a+b*tanh(x)**2)**(3/2),x)","\int \frac{\tanh^{5}{\left(x \right)}}{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tanh(x)**5/(a + b*tanh(x)**2)**(3/2), x)","F",0
239,0,0,0,0.000000," ","integrate(tanh(x)**4/(a+b*tanh(x)**2)**(3/2),x)","\int \frac{\tanh^{4}{\left(x \right)}}{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tanh(x)**4/(a + b*tanh(x)**2)**(3/2), x)","F",0
240,0,0,0,0.000000," ","integrate(tanh(x)**3/(a+b*tanh(x)**2)**(3/2),x)","\int \frac{\tanh^{3}{\left(x \right)}}{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tanh(x)**3/(a + b*tanh(x)**2)**(3/2), x)","F",0
241,0,0,0,0.000000," ","integrate(tanh(x)**2/(a+b*tanh(x)**2)**(3/2),x)","\int \frac{\tanh^{2}{\left(x \right)}}{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tanh(x)**2/(a + b*tanh(x)**2)**(3/2), x)","F",0
242,1,51,0,23.264115," ","integrate(tanh(x)/(a+b*tanh(x)**2)**(3/2),x)","- \frac{1}{\left(a + b\right) \sqrt{a + b \tanh^{2}{\left(x \right)}}} - \frac{\operatorname{atan}{\left(\frac{\sqrt{a + b \tanh^{2}{\left(x \right)}}}{\sqrt{- a - b}} \right)}}{\sqrt{- a - b} \left(a + b\right)}"," ",0,"-1/((a + b)*sqrt(a + b*tanh(x)**2)) - atan(sqrt(a + b*tanh(x)**2)/sqrt(-a - b))/(sqrt(-a - b)*(a + b))","A",0
243,0,0,0,0.000000," ","integrate(1/(a+b*tanh(x)**2)**(3/2),x)","\int \frac{1}{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*tanh(x)**2)**(-3/2), x)","F",0
244,0,0,0,0.000000," ","integrate(coth(x)/(a+b*tanh(x)**2)**(3/2),x)","\int \frac{\coth{\left(x \right)}}{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(coth(x)/(a + b*tanh(x)**2)**(3/2), x)","F",0
245,0,0,0,0.000000," ","integrate(coth(x)**2/(a+b*tanh(x)**2)**(3/2),x)","\int \frac{\coth^{2}{\left(x \right)}}{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(coth(x)**2/(a + b*tanh(x)**2)**(3/2), x)","F",0
246,0,0,0,0.000000," ","integrate(tanh(x)**6/(a+b*tanh(x)**2)**(5/2),x)","\int \frac{\tanh^{6}{\left(x \right)}}{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tanh(x)**6/(a + b*tanh(x)**2)**(5/2), x)","F",0
247,0,0,0,0.000000," ","integrate(tanh(x)**5/(a+b*tanh(x)**2)**(5/2),x)","\int \frac{\tanh^{5}{\left(x \right)}}{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tanh(x)**5/(a + b*tanh(x)**2)**(5/2), x)","F",0
248,0,0,0,0.000000," ","integrate(tanh(x)**4/(a+b*tanh(x)**2)**(5/2),x)","\int \frac{\tanh^{4}{\left(x \right)}}{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tanh(x)**4/(a + b*tanh(x)**2)**(5/2), x)","F",0
249,0,0,0,0.000000," ","integrate(tanh(x)**3/(a+b*tanh(x)**2)**(5/2),x)","\int \frac{\tanh^{3}{\left(x \right)}}{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tanh(x)**3/(a + b*tanh(x)**2)**(5/2), x)","F",0
250,0,0,0,0.000000," ","integrate(tanh(x)**2/(a+b*tanh(x)**2)**(5/2),x)","\int \frac{\tanh^{2}{\left(x \right)}}{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tanh(x)**2/(a + b*tanh(x)**2)**(5/2), x)","F",0
251,1,73,0,30.762702," ","integrate(tanh(x)/(a+b*tanh(x)**2)**(5/2),x)","- \frac{1}{3 \left(a + b\right) \left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{3}{2}}} - \frac{1}{\left(a + b\right)^{2} \sqrt{a + b \tanh^{2}{\left(x \right)}}} - \frac{\operatorname{atan}{\left(\frac{\sqrt{a + b \tanh^{2}{\left(x \right)}}}{\sqrt{- a - b}} \right)}}{\sqrt{- a - b} \left(a + b\right)^{2}}"," ",0,"-1/(3*(a + b)*(a + b*tanh(x)**2)**(3/2)) - 1/((a + b)**2*sqrt(a + b*tanh(x)**2)) - atan(sqrt(a + b*tanh(x)**2)/sqrt(-a - b))/(sqrt(-a - b)*(a + b)**2)","A",0
252,0,0,0,0.000000," ","integrate(1/(a+b*tanh(x)**2)**(5/2),x)","\int \frac{1}{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*tanh(x)**2)**(-5/2), x)","F",0
253,0,0,0,0.000000," ","integrate(coth(x)/(a+b*tanh(x)**2)**(5/2),x)","\int \frac{\coth{\left(x \right)}}{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(coth(x)/(a + b*tanh(x)**2)**(5/2), x)","F",0
254,0,0,0,0.000000," ","integrate(coth(x)**2/(a+b*tanh(x)**2)**(5/2),x)","\int \frac{\coth^{2}{\left(x \right)}}{\left(a + b \tanh^{2}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(coth(x)**2/(a + b*tanh(x)**2)**(5/2), x)","F",0
255,0,0,0,0.000000," ","integrate(1/(1+tanh(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{\tanh^{2}{\left(x \right)} + 1}}\, dx"," ",0,"Integral(1/sqrt(tanh(x)**2 + 1), x)","F",0
256,0,0,0,0.000000," ","integrate(1/(-1-tanh(x)**2)**(1/2),x)","\int \frac{1}{\sqrt{- \tanh^{2}{\left(x \right)} - 1}}\, dx"," ",0,"Integral(1/sqrt(-tanh(x)**2 - 1), x)","F",0
257,1,100,0,0.619863," ","integrate((a+b*tanh(d*x+c)**3)**2,x)","\begin{cases} a^{2} x + 2 a b x - \frac{2 a b \log{\left(\tanh{\left(c + d x \right)} + 1 \right)}}{d} - \frac{a b \tanh^{2}{\left(c + d x \right)}}{d} + b^{2} x - \frac{b^{2} \tanh^{5}{\left(c + d x \right)}}{5 d} - \frac{b^{2} \tanh^{3}{\left(c + d x \right)}}{3 d} - \frac{b^{2} \tanh{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \left(a + b \tanh^{3}{\left(c \right)}\right)^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x + 2*a*b*x - 2*a*b*log(tanh(c + d*x) + 1)/d - a*b*tanh(c + d*x)**2/d + b**2*x - b**2*tanh(c + d*x)**5/(5*d) - b**2*tanh(c + d*x)**3/(3*d) - b**2*tanh(c + d*x)/d, Ne(d, 0)), (x*(a + b*tanh(c)**3)**2, True))","A",0
258,1,102,0,0.559343," ","integrate(1/(1+tanh(x)**3),x)","\frac{9 x \tanh{\left(x \right)}}{18 \tanh{\left(x \right)} + 18} + \frac{9 x}{18 \tanh{\left(x \right)} + 18} + \frac{4 \sqrt{3} \tanh{\left(x \right)} \operatorname{atan}{\left(\frac{2 \sqrt{3} \tanh{\left(x \right)}}{3} - \frac{\sqrt{3}}{3} \right)}}{18 \tanh{\left(x \right)} + 18} + \frac{4 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} \tanh{\left(x \right)}}{3} - \frac{\sqrt{3}}{3} \right)}}{18 \tanh{\left(x \right)} + 18} - \frac{3}{18 \tanh{\left(x \right)} + 18}"," ",0,"9*x*tanh(x)/(18*tanh(x) + 18) + 9*x/(18*tanh(x) + 18) + 4*sqrt(3)*tanh(x)*atan(2*sqrt(3)*tanh(x)/3 - sqrt(3)/3)/(18*tanh(x) + 18) + 4*sqrt(3)*atan(2*sqrt(3)*tanh(x)/3 - sqrt(3)/3)/(18*tanh(x) + 18) - 3/(18*tanh(x) + 18)","B",0
259,0,0,0,0.000000," ","integrate(tanh(x)*(a+b*tanh(x)**4)**(3/2),x)","\int \left(a + b \tanh^{4}{\left(x \right)}\right)^{\frac{3}{2}} \tanh{\left(x \right)}\, dx"," ",0,"Integral((a + b*tanh(x)**4)**(3/2)*tanh(x), x)","F",0
260,0,0,0,0.000000," ","integrate(tanh(x)*(a+b*tanh(x)**4)**(1/2),x)","\int \sqrt{a + b \tanh^{4}{\left(x \right)}} \tanh{\left(x \right)}\, dx"," ",0,"Integral(sqrt(a + b*tanh(x)**4)*tanh(x), x)","F",0
261,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*tanh(x)**4)**(1/2),x)","\int \frac{\tanh{\left(x \right)}}{\sqrt{a + b \tanh^{4}{\left(x \right)}}}\, dx"," ",0,"Integral(tanh(x)/sqrt(a + b*tanh(x)**4), x)","F",0
262,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*tanh(x)**4)**(3/2),x)","\int \frac{\tanh{\left(x \right)}}{\left(a + b \tanh^{4}{\left(x \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(tanh(x)/(a + b*tanh(x)**4)**(3/2), x)","F",0
263,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*tanh(x)**4)**(5/2),x)","\int \frac{\tanh{\left(x \right)}}{\left(a + b \tanh^{4}{\left(x \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(tanh(x)/(a + b*tanh(x)**4)**(5/2), x)","F",0
