1,0,0,110,0.344000," ","int(x^5*(a+b*sech(d*x^2+c)),x)","\int x^{5} \left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)\, dx"," ",0,"int(x^5*(a+b*sech(d*x^2+c)),x)","F"
2,0,0,23,0.331000," ","int(x^4*(a+b*sech(d*x^2+c)),x)","\int x^{4} \left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)\, dx"," ",0,"int(x^4*(a+b*sech(d*x^2+c)),x)","F"
3,0,0,64,0.328000," ","int(x^3*(a+b*sech(d*x^2+c)),x)","\int x^{3} \left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)\, dx"," ",0,"int(x^3*(a+b*sech(d*x^2+c)),x)","F"
4,0,0,23,0.327000," ","int(x^2*(a+b*sech(d*x^2+c)),x)","\int x^{2} \left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)\, dx"," ",0,"int(x^2*(a+b*sech(d*x^2+c)),x)","F"
5,1,30,22,0.104000," ","int(x*(a+b*sech(d*x^2+c)),x)","\frac{a \,x^{2}}{2}+\frac{b \arctan \left(\sinh \left(d \,x^{2}+c \right)\right)}{2 d}+\frac{a c}{2 d}"," ",0,"1/2*a*x^2+1/2*b*arctan(sinh(d*x^2+c))/d+1/2/d*a*c","A"
6,0,0,21,0.336000," ","int((a+b*sech(d*x^2+c))/x,x)","\int \frac{a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)}{x}\, dx"," ",0,"int((a+b*sech(d*x^2+c))/x,x)","F"
7,0,0,23,0.344000," ","int((a+b*sech(d*x^2+c))/x^2,x)","\int \frac{a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)}{x^{2}}\, dx"," ",0,"int((a+b*sech(d*x^2+c))/x^2,x)","F"
8,0,0,196,0.382000," ","int(x^5*(a+b*sech(d*x^2+c))^2,x)","\int x^{5} \left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)^{2}\, dx"," ",0,"int(x^5*(a+b*sech(d*x^2+c))^2,x)","F"
9,0,0,20,0.368000," ","int(x^4*(a+b*sech(d*x^2+c))^2,x)","\int x^{4} \left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)^{2}\, dx"," ",0,"int(x^4*(a+b*sech(d*x^2+c))^2,x)","F"
10,0,0,106,0.438000," ","int(x^3*(a+b*sech(d*x^2+c))^2,x)","\int x^{3} \left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)^{2}\, dx"," ",0,"int(x^3*(a+b*sech(d*x^2+c))^2,x)","F"
11,0,0,20,0.346000," ","int(x^2*(a+b*sech(d*x^2+c))^2,x)","\int x^{2} \left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)^{2}\, dx"," ",0,"int(x^2*(a+b*sech(d*x^2+c))^2,x)","F"
12,1,51,40,0.275000," ","int(x*(a+b*sech(d*x^2+c))^2,x)","\frac{a^{2} x^{2}}{2}+\frac{b^{2} \tanh \left(d \,x^{2}+c \right)}{2 d}+\frac{2 a b \arctan \left({\mathrm e}^{d \,x^{2}+c}\right)}{d}+\frac{a^{2} c}{2 d}"," ",0,"1/2*a^2*x^2+1/2*b^2*tanh(d*x^2+c)/d+2/d*a*b*arctan(exp(d*x^2+c))+1/2/d*a^2*c","A"
13,0,0,20,0.393000," ","int((a+b*sech(d*x^2+c))^2/x,x)","\int \frac{\left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)^{2}}{x}\, dx"," ",0,"int((a+b*sech(d*x^2+c))^2/x,x)","F"
14,0,0,20,0.396000," ","int((a+b*sech(d*x^2+c))^2/x^2,x)","\int \frac{\left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)^{2}}{x^{2}}\, dx"," ",0,"int((a+b*sech(d*x^2+c))^2/x^2,x)","F"
15,1,83,82,0.251000," ","int(x*sech(b*x^2+a)^7,x)","\frac{\mathrm{sech}\left(b \,x^{2}+a \right)^{5} \tanh \left(b \,x^{2}+a \right)}{12 b}+\frac{5 \mathrm{sech}\left(b \,x^{2}+a \right)^{3} \tanh \left(b \,x^{2}+a \right)}{48 b}+\frac{5 \,\mathrm{sech}\left(b \,x^{2}+a \right) \tanh \left(b \,x^{2}+a \right)}{32 b}+\frac{5 \arctan \left({\mathrm e}^{b \,x^{2}+a}\right)}{16 b}"," ",0,"1/12*sech(b*x^2+a)^5*tanh(b*x^2+a)/b+5/48*sech(b*x^2+a)^3*tanh(b*x^2+a)/b+5/32*sech(b*x^2+a)*tanh(b*x^2+a)/b+5/16/b*arctan(exp(b*x^2+a))","A"
16,0,0,313,0.342000," ","int(x^5/(a+b*sech(d*x^2+c)),x)","\int \frac{x^{5}}{a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)}\, dx"," ",0,"int(x^5/(a+b*sech(d*x^2+c)),x)","F"
17,0,0,20,0.319000," ","int(x^4/(a+b*sech(d*x^2+c)),x)","\int \frac{x^{4}}{a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)}\, dx"," ",0,"int(x^4/(a+b*sech(d*x^2+c)),x)","F"
18,0,0,211,0.316000," ","int(x^3/(a+b*sech(d*x^2+c)),x)","\int \frac{x^{3}}{a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)}\, dx"," ",0,"int(x^3/(a+b*sech(d*x^2+c)),x)","F"
19,0,0,20,0.315000," ","int(x^2/(a+b*sech(d*x^2+c)),x)","\int \frac{x^{2}}{a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)}\, dx"," ",0,"int(x^2/(a+b*sech(d*x^2+c)),x)","F"
20,1,95,55,0.252000," ","int(x/(a+b*sech(d*x^2+c)),x)","-\frac{\ln \left(\tanh \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)-1\right)}{2 d a}-\frac{b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{d a \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{\ln \left(\tanh \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)+1\right)}{2 d a}"," ",0,"-1/2/d/a*ln(tanh(1/2*d*x^2+1/2*c)-1)-1/d/a*b/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*d*x^2+1/2*c)/((a+b)*(a-b))^(1/2))+1/2/d/a*ln(tanh(1/2*d*x^2+1/2*c)+1)","A"
21,0,0,20,0.307000," ","int(1/x/(a+b*sech(d*x^2+c)),x)","\int \frac{1}{x \left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)}\, dx"," ",0,"int(1/x/(a+b*sech(d*x^2+c)),x)","F"
22,0,0,23,0.012000," ","int((a+b*sech(d*x^2+c))/x^2,x)","\int \frac{a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)}{x^{2}}\, dx"," ",0,"int((a+b*sech(d*x^2+c))/x^2,x)","F"
23,0,0,912,0.445000," ","int(x^5/(a+b*sech(d*x^2+c))^2,x)","\int \frac{x^{5}}{\left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(x^5/(a+b*sech(d*x^2+c))^2,x)","F"
24,0,0,20,0.436000," ","int(x^4/(a+b*sech(d*x^2+c))^2,x)","\int \frac{x^{4}}{\left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(x^4/(a+b*sech(d*x^2+c))^2,x)","F"
25,0,0,501,0.467000," ","int(x^3/(a+b*sech(d*x^2+c))^2,x)","\int \frac{x^{3}}{\left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(x^3/(a+b*sech(d*x^2+c))^2,x)","F"
26,0,0,20,0.397000," ","int(x^2/(a+b*sech(d*x^2+c))^2,x)","\int \frac{x^{2}}{\left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(x^2/(a+b*sech(d*x^2+c))^2,x)","F"
27,1,234,110,0.266000," ","int(x/(a+b*sech(d*x^2+c))^2,x)","-\frac{\ln \left(\tanh \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)-1\right)}{2 d \,a^{2}}+\frac{b^{2} \tanh \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)}{d a \left(a^{2}-b^{2}\right) \left(a \left(\tanh^{2}\left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)\right)-\left(\tanh^{2}\left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)\right) b +a +b \right)}-\frac{2 b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{d \left(a +b \right) \left(a -b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{b^{3} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{d \,a^{2} \left(a +b \right) \left(a -b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{\ln \left(\tanh \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)+1\right)}{2 d \,a^{2}}"," ",0,"-1/2/d/a^2*ln(tanh(1/2*d*x^2+1/2*c)-1)+1/d/a*b^2/(a^2-b^2)*tanh(1/2*d*x^2+1/2*c)/(a*tanh(1/2*d*x^2+1/2*c)^2-tanh(1/2*d*x^2+1/2*c)^2*b+a+b)-2/d*b/(a+b)/(a-b)/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*d*x^2+1/2*c)/((a+b)*(a-b))^(1/2))+1/d/a^2*b^3/(a+b)/(a-b)/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*d*x^2+1/2*c)/((a+b)*(a-b))^(1/2))+1/2/d/a^2*ln(tanh(1/2*d*x^2+1/2*c)+1)","B"
28,0,0,20,0.441000," ","int(1/x/(a+b*sech(d*x^2+c))^2,x)","\int \frac{1}{x \left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(1/x/(a+b*sech(d*x^2+c))^2,x)","F"
29,0,0,20,0.458000," ","int(1/x^2/(a+b*sech(d*x^2+c))^2,x)","\int \frac{1}{x^{2} \left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(1/x^2/(a+b*sech(d*x^2+c))^2,x)","F"
30,0,0,20,0.479000," ","int(1/x^3/(a+b*sech(d*x^2+c))^2,x)","\int \frac{1}{x^{3} \left(a +b \,\mathrm{sech}\left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(1/x^3/(a+b*sech(d*x^2+c))^2,x)","F"
31,1,7,6,0.273000," ","int(sech(1/x)^2/x^2,x)","-\tanh \left(\frac{1}{x}\right)"," ",0,"-tanh(1/x)","A"
32,0,0,337,0.574000," ","int(x^3*(a+b*sech(c+d*x^(1/2))),x)","\int x^{3} \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)\, dx"," ",0,"int(x^3*(a+b*sech(c+d*x^(1/2))),x)","F"
33,0,0,245,0.546000," ","int(x^2*(a+b*sech(c+d*x^(1/2))),x)","\int x^{2} \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)\, dx"," ",0,"int(x^2*(a+b*sech(c+d*x^(1/2))),x)","F"
34,0,0,153,0.541000," ","int(x*(a+b*sech(c+d*x^(1/2))),x)","\int x \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)\, dx"," ",0,"int(x*(a+b*sech(c+d*x^(1/2))),x)","F"
35,0,0,21,0.703000," ","int((a+b*sech(c+d*x^(1/2)))/x,x)","\int \frac{a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)}{x}\, dx"," ",0,"int((a+b*sech(c+d*x^(1/2)))/x,x)","F"
36,0,0,23,0.641000," ","int((a+b*sech(c+d*x^(1/2)))/x^2,x)","\int \frac{a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)}{x^{2}}\, dx"," ",0,"int((a+b*sech(c+d*x^(1/2)))/x^2,x)","F"
37,0,0,560,0.613000," ","int(x^3*(a+b*sech(c+d*x^(1/2)))^2,x)","\int x^{3} \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}\, dx"," ",0,"int(x^3*(a+b*sech(c+d*x^(1/2)))^2,x)","F"
38,0,0,412,0.610000," ","int(x^2*(a+b*sech(c+d*x^(1/2)))^2,x)","\int x^{2} \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}\, dx"," ",0,"int(x^2*(a+b*sech(c+d*x^(1/2)))^2,x)","F"
39,0,0,264,0.603000," ","int(x*(a+b*sech(c+d*x^(1/2)))^2,x)","\int x \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}\, dx"," ",0,"int(x*(a+b*sech(c+d*x^(1/2)))^2,x)","F"
40,0,0,20,0.582000," ","int((a+b*sech(c+d*x^(1/2)))^2/x,x)","\int \frac{\left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}}{x}\, dx"," ",0,"int((a+b*sech(c+d*x^(1/2)))^2/x,x)","F"
41,0,0,20,0.581000," ","int((a+b*sech(c+d*x^(1/2)))^2/x^2,x)","\int \frac{\left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}}{x^{2}}\, dx"," ",0,"int((a+b*sech(c+d*x^(1/2)))^2/x^2,x)","F"
42,0,0,831,0.614000," ","int(x^3/(a+b*sech(c+d*x^(1/2))),x)","\int \frac{x^{3}}{a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)}\, dx"," ",0,"int(x^3/(a+b*sech(c+d*x^(1/2))),x)","F"
43,0,0,623,0.597000," ","int(x^2/(a+b*sech(c+d*x^(1/2))),x)","\int \frac{x^{2}}{a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)}\, dx"," ",0,"int(x^2/(a+b*sech(c+d*x^(1/2))),x)","F"
44,0,0,415,0.587000," ","int(x/(a+b*sech(c+d*x^(1/2))),x)","\int \frac{x}{a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)}\, dx"," ",0,"int(x/(a+b*sech(c+d*x^(1/2))),x)","F"
45,0,0,20,0.581000," ","int(1/x/(a+b*sech(c+d*x^(1/2))),x)","\int \frac{1}{x \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)}\, dx"," ",0,"int(1/x/(a+b*sech(c+d*x^(1/2))),x)","F"
46,0,0,23,0.011000," ","int((a+b*sech(c+d*x^(1/2)))/x^2,x)","\int \frac{a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)}{x^{2}}\, dx"," ",0,"int((a+b*sech(c+d*x^(1/2)))/x^2,x)","F"
47,0,0,2503,0.733000," ","int(x^3/(a+b*sech(c+d*x^(1/2)))^2,x)","\int \frac{x^{3}}{\left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(x^3/(a+b*sech(c+d*x^(1/2)))^2,x)","F"
48,0,0,1863,0.662000," ","int(x^2/(a+b*sech(c+d*x^(1/2)))^2,x)","\int \frac{x^{2}}{\left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(x^2/(a+b*sech(c+d*x^(1/2)))^2,x)","F"
49,0,0,1223,0.651000," ","int(x/(a+b*sech(c+d*x^(1/2)))^2,x)","\int \frac{x}{\left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(x/(a+b*sech(c+d*x^(1/2)))^2,x)","F"
50,0,0,20,0.640000," ","int(1/x/(a+b*sech(c+d*x^(1/2)))^2,x)","\int \frac{1}{x \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(1/x/(a+b*sech(c+d*x^(1/2)))^2,x)","F"
51,0,0,20,0.645000," ","int(1/x^2/(a+b*sech(c+d*x^(1/2)))^2,x)","\int \frac{1}{x^{2} \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(1/x^2/(a+b*sech(c+d*x^(1/2)))^2,x)","F"
52,0,0,199,0.543000," ","int(x^(3/2)*(a+b*sech(c+d*x^(1/2))),x)","\int x^{\frac{3}{2}} \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)\, dx"," ",0,"int(x^(3/2)*(a+b*sech(c+d*x^(1/2))),x)","F"
53,0,0,109,0.531000," ","int((a+b*sech(c+d*x^(1/2)))*x^(1/2),x)","\int \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right) \sqrt{x}\, dx"," ",0,"int((a+b*sech(c+d*x^(1/2)))*x^(1/2),x)","F"
54,1,23,22,0.126000," ","int((a+b*sech(c+d*x^(1/2)))/x^(1/2),x)","\frac{2 b \arctan \left(\sinh \left(c +d \sqrt{x}\right)\right)}{d}+2 a \sqrt{x}"," ",0,"2*b*arctan(sinh(c+d*x^(1/2)))/d+2*a*x^(1/2)","A"
55,0,0,23,0.638000," ","int((a+b*sech(c+d*x^(1/2)))/x^(3/2),x)","\int \frac{a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)}{x^{\frac{3}{2}}}\, dx"," ",0,"int((a+b*sech(c+d*x^(1/2)))/x^(3/2),x)","F"
56,0,0,23,0.642000," ","int((a+b*sech(c+d*x^(1/2)))/x^(5/2),x)","\int \frac{a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)}{x^{\frac{5}{2}}}\, dx"," ",0,"int((a+b*sech(c+d*x^(1/2)))/x^(5/2),x)","F"
57,0,0,338,0.609000," ","int(x^(3/2)*(a+b*sech(c+d*x^(1/2)))^2,x)","\int x^{\frac{3}{2}} \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}\, dx"," ",0,"int(x^(3/2)*(a+b*sech(c+d*x^(1/2)))^2,x)","F"
58,0,0,190,0.611000," ","int((a+b*sech(c+d*x^(1/2)))^2*x^(1/2),x)","\int \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2} \sqrt{x}\, dx"," ",0,"int((a+b*sech(c+d*x^(1/2)))^2*x^(1/2),x)","F"
59,1,51,41,0.411000," ","int((a+b*sech(c+d*x^(1/2)))^2/x^(1/2),x)","2 a^{2} \sqrt{x}+\frac{2 b^{2} \tanh \left(c +d \sqrt{x}\right)}{d}+\frac{8 a b \arctan \left({\mathrm e}^{c +d \sqrt{x}}\right)}{d}+\frac{2 a^{2} c}{d}"," ",0,"2*a^2*x^(1/2)+2*b^2*tanh(c+d*x^(1/2))/d+8/d*a*b*arctan(exp(c+d*x^(1/2)))+2/d*a^2*c","A"
60,0,0,20,0.580000," ","int((a+b*sech(c+d*x^(1/2)))^2/x^(3/2),x)","\int \frac{\left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}}{x^{\frac{3}{2}}}\, dx"," ",0,"int((a+b*sech(c+d*x^(1/2)))^2/x^(3/2),x)","F"
61,0,0,20,0.575000," ","int((a+b*sech(c+d*x^(1/2)))^2/x^(5/2),x)","\int \frac{\left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}}{x^{\frac{5}{2}}}\, dx"," ",0,"int((a+b*sech(c+d*x^(1/2)))^2/x^(5/2),x)","F"
62,0,0,519,0.592000," ","int(x^(3/2)/(a+b*sech(c+d*x^(1/2))),x)","\int \frac{x^{\frac{3}{2}}}{a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)}\, dx"," ",0,"int(x^(3/2)/(a+b*sech(c+d*x^(1/2))),x)","F"
63,0,0,311,0.589000," ","int(x^(1/2)/(a+b*sech(c+d*x^(1/2))),x)","\int \frac{\sqrt{x}}{a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)}\, dx"," ",0,"int(x^(1/2)/(a+b*sech(c+d*x^(1/2))),x)","F"
64,1,95,55,0.382000," ","int(1/(a+b*sech(c+d*x^(1/2)))/x^(1/2),x)","-\frac{2 \ln \left(\tanh \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)-1\right)}{d a}+\frac{2 \ln \left(\tanh \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)+1\right)}{d a}-\frac{4 b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{d a \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-2/d/a*ln(tanh(1/2*c+1/2*d*x^(1/2))-1)+2/d/a*ln(tanh(1/2*c+1/2*d*x^(1/2))+1)-4/d/a*b/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*c+1/2*d*x^(1/2))/((a+b)*(a-b))^(1/2))","A"
65,0,0,20,0.581000," ","int(1/x^(3/2)/(a+b*sech(c+d*x^(1/2))),x)","\int \frac{1}{x^{\frac{3}{2}} \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)}\, dx"," ",0,"int(1/x^(3/2)/(a+b*sech(c+d*x^(1/2))),x)","F"
66,0,0,20,0.579000," ","int(1/x^(5/2)/(a+b*sech(c+d*x^(1/2))),x)","\int \frac{1}{x^{\frac{5}{2}} \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)}\, dx"," ",0,"int(1/x^(5/2)/(a+b*sech(c+d*x^(1/2))),x)","F"
67,0,0,1543,0.663000," ","int(x^(3/2)/(a+b*sech(c+d*x^(1/2)))^2,x)","\int \frac{x^{\frac{3}{2}}}{\left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(x^(3/2)/(a+b*sech(c+d*x^(1/2)))^2,x)","F"
68,0,0,903,0.656000," ","int(x^(1/2)/(a+b*sech(c+d*x^(1/2)))^2,x)","\int \frac{\sqrt{x}}{\left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(x^(1/2)/(a+b*sech(c+d*x^(1/2)))^2,x)","F"
69,1,236,110,0.418000," ","int(1/(a+b*sech(c+d*x^(1/2)))^2/x^(1/2),x)","-\frac{2 \ln \left(\tanh \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)-1\right)}{d \,a^{2}}+\frac{2 \ln \left(\tanh \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)+1\right)}{d \,a^{2}}+\frac{4 b^{2} \tanh \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)}{d a \left(a^{2}-b^{2}\right) \left(a \left(\tanh^{2}\left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)\right)-\left(\tanh^{2}\left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)\right) b +a +b \right)}-\frac{8 b \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{d \left(a +b \right) \left(a -b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}+\frac{4 b^{3} \arctan \left(\frac{\left(a -b \right) \tanh \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)}{\sqrt{\left(a +b \right) \left(a -b \right)}}\right)}{d \,a^{2} \left(a +b \right) \left(a -b \right) \sqrt{\left(a +b \right) \left(a -b \right)}}"," ",0,"-2/d/a^2*ln(tanh(1/2*c+1/2*d*x^(1/2))-1)+2/d/a^2*ln(tanh(1/2*c+1/2*d*x^(1/2))+1)+4/d/a*b^2/(a^2-b^2)*tanh(1/2*c+1/2*d*x^(1/2))/(a*tanh(1/2*c+1/2*d*x^(1/2))^2-tanh(1/2*c+1/2*d*x^(1/2))^2*b+a+b)-8/d*b/(a+b)/(a-b)/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*c+1/2*d*x^(1/2))/((a+b)*(a-b))^(1/2))+4/d/a^2*b^3/(a+b)/(a-b)/((a+b)*(a-b))^(1/2)*arctan((a-b)*tanh(1/2*c+1/2*d*x^(1/2))/((a+b)*(a-b))^(1/2))","B"
70,0,0,20,0.644000," ","int(1/x^(3/2)/(a+b*sech(c+d*x^(1/2)))^2,x)","\int \frac{1}{x^{\frac{3}{2}} \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(1/x^(3/2)/(a+b*sech(c+d*x^(1/2)))^2,x)","F"
71,0,0,20,0.639000," ","int(1/x^(5/2)/(a+b*sech(c+d*x^(1/2)))^2,x)","\int \frac{1}{x^{\frac{5}{2}} \left(a +b \,\mathrm{sech}\left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(1/x^(5/2)/(a+b*sech(c+d*x^(1/2)))^2,x)","F"
72,0,0,31,0.704000," ","int((e*x)^m*(a+b*sech(c+d*x^n))^p,x)","\int \left(e x \right)^{m} \left(a +b \,\mathrm{sech}\left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^m*(a+b*sech(c+d*x^n))^p,x)","F"
73,1,155,44,0.730000," ","int((e*x)^(-1+n)*(a+b*sech(c+d*x^n)),x)","\frac{a x \,{\mathrm e}^{\frac{\left(-1+n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}}}{n}+\frac{2 \arctan \left({\mathrm e}^{c +d \,x^{n}}\right) e^{n} b \,{\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e x \right) \left(-1+n \right) \left(\mathrm{csgn}\left(i e x \right)-\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i e x \right)+\mathrm{csgn}\left(i e \right)\right)}{2}}}{d e n}"," ",0,"a/n*x*exp(1/2*(-1+n)*(-I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+I*Pi*csgn(I*e)*csgn(I*e*x)^2+I*Pi*csgn(I*x)*csgn(I*e*x)^2-I*Pi*csgn(I*e*x)^3+2*ln(x)+2*ln(e)))+2*arctan(exp(c+d*x^n))/d/e*e^n/n*b*exp(1/2*I*Pi*csgn(I*e*x)*(-1+n)*(csgn(I*e*x)-csgn(I*x))*(-csgn(I*e*x)+csgn(I*e)))","C"
74,1,368,130,0.813000," ","int((e*x)^(-1+2*n)*(a+b*sech(c+d*x^n)),x)","\frac{a x \,{\mathrm e}^{\frac{\left(-1+2 n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}}}{2 n}+\frac{2 b \,{\mathrm e}^{-i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)} {\mathrm e}^{i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}} {\mathrm e}^{i \pi  n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}} {\mathrm e}^{-i \pi  n \mathrm{csgn}\left(i e x \right)^{3}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i e x \right)^{3}}{2}} e^{2 n} {\mathrm e}^{c} \left(-\frac{\sqrt{-{\mathrm e}^{2 c}}\, x^{n} d \left(\ln \left(1+{\mathrm e}^{d \,x^{n}} \sqrt{-{\mathrm e}^{2 c}}\right)-\ln \left(1-{\mathrm e}^{d \,x^{n}} \sqrt{-{\mathrm e}^{2 c}}\right)\right) {\mathrm e}^{-2 c}}{2}-\frac{\sqrt{-{\mathrm e}^{2 c}}\, \left(\dilog \left(1+{\mathrm e}^{d \,x^{n}} \sqrt{-{\mathrm e}^{2 c}}\right)-\dilog \left(1-{\mathrm e}^{d \,x^{n}} \sqrt{-{\mathrm e}^{2 c}}\right)\right) {\mathrm e}^{-2 c}}{2}\right)}{e n \,d^{2}}"," ",0,"1/2*a/n*x*exp(1/2*(-1+2*n)*(-I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+I*Pi*csgn(I*e)*csgn(I*e*x)^2+I*Pi*csgn(I*x)*csgn(I*e*x)^2-I*Pi*csgn(I*e*x)^3+2*ln(x)+2*ln(e)))+2*b*exp(-I*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*exp(I*Pi*n*csgn(I*e)*csgn(I*e*x)^2)*exp(I*Pi*n*csgn(I*x)*csgn(I*e*x)^2)*exp(-I*Pi*n*csgn(I*e*x)^3)*exp(1/2*I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*exp(-1/2*I*Pi*csgn(I*e)*csgn(I*e*x)^2)*exp(-1/2*I*Pi*csgn(I*x)*csgn(I*e*x)^2)*exp(1/2*I*Pi*csgn(I*e*x)^3)*(e^n)^2/e*exp(c)/n/d^2*(-1/2*(-exp(2*c))^(1/2)*x^n*d*(ln(1+exp(d*x^n)*(-exp(2*c))^(1/2))-ln(1-exp(d*x^n)*(-exp(2*c))^(1/2)))*exp(-2*c)-1/2*(-exp(2*c))^(1/2)*(dilog(1+exp(d*x^n)*(-exp(2*c))^(1/2))-dilog(1-exp(d*x^n)*(-exp(2*c))^(1/2)))*exp(-2*c))","C"
75,0,0,210,1.158000," ","int((e*x)^(3*n-1)*(a+b*sech(c+d*x^n)),x)","\int \left(e x \right)^{3 n -1} \left(a +b \,\mathrm{sech}\left(c +d \,x^{n}\right)\right)\, dx"," ",0,"int((e*x)^(3*n-1)*(a+b*sech(c+d*x^n)),x)","F"
76,1,271,79,0.661000," ","int((e*x)^(-1+n)*(a+b*sech(c+d*x^n))^2,x)","\frac{a^{2} x \,{\mathrm e}^{\frac{\left(-1+n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}}}{n}-\frac{2 x \,x^{-n} b^{2} {\mathrm e}^{\frac{\left(-1+n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}}}{d n \left({\mathrm e}^{2 c +2 d \,x^{n}}+1\right)}+\frac{4 \arctan \left({\mathrm e}^{c +d \,x^{n}}\right) e^{n} a b \,{\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e x \right) \left(-1+n \right) \left(\mathrm{csgn}\left(i e x \right)-\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i e x \right)+\mathrm{csgn}\left(i e \right)\right)}{2}}}{d e n}"," ",0,"a^2/n*x*exp(1/2*(-1+n)*(-I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+I*Pi*csgn(I*e)*csgn(I*e*x)^2+I*Pi*csgn(I*x)*csgn(I*e*x)^2-I*Pi*csgn(I*e*x)^3+2*ln(x)+2*ln(e)))-2/d/n*x/(x^n)*b^2*exp(1/2*(-1+n)*(-I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+I*Pi*csgn(I*e)*csgn(I*e*x)^2+I*Pi*csgn(I*x)*csgn(I*e*x)^2-I*Pi*csgn(I*e*x)^3+2*ln(x)+2*ln(e)))/(exp(2*c+2*d*x^n)+1)+4*arctan(exp(c+d*x^n))/d/e*e^n/n*a*b*exp(1/2*I*Pi*csgn(I*e*x)*(-1+n)*(csgn(I*e*x)-csgn(I*x))*(-csgn(I*e*x)+csgn(I*e)))","C"
77,0,0,205,0.576000," ","int((e*x)^(-1+2*n)*(a+b*sech(c+d*x^n))^2,x)","\int \left(e x \right)^{-1+2 n} \left(a +b \,\mathrm{sech}\left(c +d \,x^{n}\right)\right)^{2}\, dx"," ",0,"int((e*x)^(-1+2*n)*(a+b*sech(c+d*x^n))^2,x)","F"
78,0,0,360,0.554000," ","int((e*x)^(3*n-1)*(a+b*sech(c+d*x^n))^2,x)","\int \left(e x \right)^{3 n -1} \left(a +b \,\mathrm{sech}\left(c +d \,x^{n}\right)\right)^{2}\, dx"," ",0,"int((e*x)^(3*n-1)*(a+b*sech(c+d*x^n))^2,x)","F"
79,1,317,78,0.562000," ","int((e*x)^(-1+n)/(a+b*sech(c+d*x^n)),x)","\frac{x \,{\mathrm e}^{\frac{\left(-1+n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}}}{a n}-\frac{2 b \,{\mathrm e}^{-\frac{i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} {\mathrm e}^{\frac{i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{-\frac{i \pi  n \mathrm{csgn}\left(i e x \right)^{3}}{2}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i e x \right)^{3}}{2}} e^{n} {\mathrm e}^{c} \arctan \left(\frac{2 a \,{\mathrm e}^{2 c +d \,x^{n}}+2 \,{\mathrm e}^{c} b}{2 \sqrt{a^{2} {\mathrm e}^{2 c}-b^{2} {\mathrm e}^{2 c}}}\right)}{a n e d \sqrt{a^{2} {\mathrm e}^{2 c}-b^{2} {\mathrm e}^{2 c}}}"," ",0,"1/a/n*x*exp(1/2*(-1+n)*(-I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+I*Pi*csgn(I*e)*csgn(I*e*x)^2+I*Pi*csgn(I*x)*csgn(I*e*x)^2-I*Pi*csgn(I*e*x)^3+2*ln(x)+2*ln(e)))-2/a*b/n*exp(-1/2*I*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*exp(1/2*I*Pi*n*csgn(I*e)*csgn(I*e*x)^2)*exp(1/2*I*Pi*n*csgn(I*x)*csgn(I*e*x)^2)*exp(-1/2*I*Pi*n*csgn(I*e*x)^3)*exp(1/2*I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*exp(-1/2*I*Pi*csgn(I*e)*csgn(I*e*x)^2)*exp(-1/2*I*Pi*csgn(I*x)*csgn(I*e*x)^2)*exp(1/2*I*Pi*csgn(I*e*x)^3)*e^n/e*exp(c)/d/(a^2*exp(2*c)-b^2*exp(2*c))^(1/2)*arctan(1/2*(2*a*exp(2*c+d*x^n)+2*exp(c)*b)/(a^2*exp(2*c)-b^2*exp(2*c))^(1/2))","C"
80,1,587,289,0.662000," ","int((e*x)^(-1+2*n)/(a+b*sech(c+d*x^n)),x)","\frac{x \,{\mathrm e}^{\frac{\left(-1+2 n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}}}{2 a n}-\frac{2 b \,{\mathrm e}^{-i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)} {\mathrm e}^{i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}} {\mathrm e}^{i \pi  n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}} {\mathrm e}^{-i \pi  n \mathrm{csgn}\left(i e x \right)^{3}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i e x \right)^{3}}{2}} e^{2 n} {\mathrm e}^{c} \left(\frac{x^{n} d \left(\ln \left(\frac{a \,{\mathrm e}^{2 c +d \,x^{n}}+{\mathrm e}^{c} b -\sqrt{b^{2} {\mathrm e}^{2 c}-a^{2} {\mathrm e}^{2 c}}}{{\mathrm e}^{c} b -\sqrt{b^{2} {\mathrm e}^{2 c}-a^{2} {\mathrm e}^{2 c}}}\right)-\ln \left(\frac{a \,{\mathrm e}^{2 c +d \,x^{n}}+{\mathrm e}^{c} b +\sqrt{b^{2} {\mathrm e}^{2 c}-a^{2} {\mathrm e}^{2 c}}}{{\mathrm e}^{c} b +\sqrt{b^{2} {\mathrm e}^{2 c}-a^{2} {\mathrm e}^{2 c}}}\right)\right)}{2 \sqrt{b^{2} {\mathrm e}^{2 c}-a^{2} {\mathrm e}^{2 c}}}+\frac{\dilog \left(\frac{a \,{\mathrm e}^{2 c +d \,x^{n}}+{\mathrm e}^{c} b -\sqrt{b^{2} {\mathrm e}^{2 c}-a^{2} {\mathrm e}^{2 c}}}{{\mathrm e}^{c} b -\sqrt{b^{2} {\mathrm e}^{2 c}-a^{2} {\mathrm e}^{2 c}}}\right)-\dilog \left(\frac{a \,{\mathrm e}^{2 c +d \,x^{n}}+{\mathrm e}^{c} b +\sqrt{b^{2} {\mathrm e}^{2 c}-a^{2} {\mathrm e}^{2 c}}}{{\mathrm e}^{c} b +\sqrt{b^{2} {\mathrm e}^{2 c}-a^{2} {\mathrm e}^{2 c}}}\right)}{2 \sqrt{b^{2} {\mathrm e}^{2 c}-a^{2} {\mathrm e}^{2 c}}}\right)}{a e n \,d^{2}}"," ",0,"1/2/a/n*x*exp(1/2*(-1+2*n)*(-I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+I*Pi*csgn(I*e)*csgn(I*e*x)^2+I*Pi*csgn(I*x)*csgn(I*e*x)^2-I*Pi*csgn(I*e*x)^3+2*ln(x)+2*ln(e)))-2/a*b*exp(-I*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*exp(I*Pi*n*csgn(I*e)*csgn(I*e*x)^2)*exp(I*Pi*n*csgn(I*x)*csgn(I*e*x)^2)*exp(-I*Pi*n*csgn(I*e*x)^3)*exp(1/2*I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*exp(-1/2*I*Pi*csgn(I*e)*csgn(I*e*x)^2)*exp(-1/2*I*Pi*csgn(I*x)*csgn(I*e*x)^2)*exp(1/2*I*Pi*csgn(I*e*x)^3)*(e^n)^2/e*exp(c)/n/d^2*(1/2*x^n*d*(ln((a*exp(2*c+d*x^n)+exp(c)*b-(b^2*exp(2*c)-a^2*exp(2*c))^(1/2))/(exp(c)*b-(b^2*exp(2*c)-a^2*exp(2*c))^(1/2)))-ln((a*exp(2*c+d*x^n)+exp(c)*b+(b^2*exp(2*c)-a^2*exp(2*c))^(1/2))/(exp(c)*b+(b^2*exp(2*c)-a^2*exp(2*c))^(1/2))))/(b^2*exp(2*c)-a^2*exp(2*c))^(1/2)+1/2*(dilog((a*exp(2*c+d*x^n)+exp(c)*b-(b^2*exp(2*c)-a^2*exp(2*c))^(1/2))/(exp(c)*b-(b^2*exp(2*c)-a^2*exp(2*c))^(1/2)))-dilog((a*exp(2*c+d*x^n)+exp(c)*b+(b^2*exp(2*c)-a^2*exp(2*c))^(1/2))/(exp(c)*b+(b^2*exp(2*c)-a^2*exp(2*c))^(1/2))))/(b^2*exp(2*c)-a^2*exp(2*c))^(1/2))","C"
81,0,0,428,1.074000," ","int((e*x)^(3*n-1)/(a+b*sech(c+d*x^n)),x)","\int \frac{\left(e x \right)^{3 n -1}}{a +b \,\mathrm{sech}\left(c +d \,x^{n}\right)}\, dx"," ",0,"int((e*x)^(3*n-1)/(a+b*sech(c+d*x^n)),x)","F"
82,1,491,148,0.670000," ","int((e*x)^(-1+n)/(a+b*sech(c+d*x^n))^2,x)","\frac{x \,{\mathrm e}^{\frac{\left(-1+n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}}}{a^{2} n}-\frac{2 b^{2} {\mathrm e}^{\frac{\left(-1+n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}} x \left(b \,{\mathrm e}^{c +d \,x^{n}}+a \right) x^{-n}}{a^{2} \left(a^{2}-b^{2}\right) d n \left(2 b \,{\mathrm e}^{c +d \,x^{n}}+{\mathrm e}^{2 c +2 d \,x^{n}} a +a \right)}-\frac{2 b \left(2 a^{2}-b^{2}\right) {\mathrm e}^{-\frac{i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} {\mathrm e}^{\frac{i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{-\frac{i \pi  n \mathrm{csgn}\left(i e x \right)^{3}}{2}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{-\frac{i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i e x \right)^{3}}{2}} e^{n} {\mathrm e}^{c} \arctan \left(\frac{2 a \,{\mathrm e}^{2 c +d \,x^{n}}+2 \,{\mathrm e}^{c} b}{2 \sqrt{a^{2} {\mathrm e}^{2 c}-b^{2} {\mathrm e}^{2 c}}}\right)}{a^{2} \left(a^{2}-b^{2}\right) n e d \sqrt{a^{2} {\mathrm e}^{2 c}-b^{2} {\mathrm e}^{2 c}}}"," ",0,"1/a^2/n*x*exp(1/2*(-1+n)*(-I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+I*Pi*csgn(I*e)*csgn(I*e*x)^2+I*Pi*csgn(I*x)*csgn(I*e*x)^2-I*Pi*csgn(I*e*x)^3+2*ln(x)+2*ln(e)))-2*b^2*exp(1/2*(-1+n)*(-I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+I*Pi*csgn(I*e)*csgn(I*e*x)^2+I*Pi*csgn(I*x)*csgn(I*e*x)^2-I*Pi*csgn(I*e*x)^3+2*ln(x)+2*ln(e)))*x*(b*exp(c+d*x^n)+a)/a^2/(a^2-b^2)/d/n/(x^n)/(2*b*exp(c+d*x^n)+exp(2*c+2*d*x^n)*a+a)-2*b/a^2*(2*a^2-b^2)/(a^2-b^2)/n*exp(-1/2*I*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*exp(1/2*I*Pi*n*csgn(I*e)*csgn(I*e*x)^2)*exp(1/2*I*Pi*n*csgn(I*x)*csgn(I*e*x)^2)*exp(-1/2*I*Pi*n*csgn(I*e*x)^3)*exp(1/2*I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*exp(-1/2*I*Pi*csgn(I*e)*csgn(I*e*x)^2)*exp(-1/2*I*Pi*csgn(I*x)*csgn(I*e*x)^2)*exp(1/2*I*Pi*csgn(I*e*x)^3)*e^n/e*exp(c)/d/(a^2*exp(2*c)-b^2*exp(2*c))^(1/2)*arctan(1/2*(2*a*exp(2*c+d*x^n)+2*exp(c)*b)/(a^2*exp(2*c)-b^2*exp(2*c))^(1/2))","C"
83,0,0,685,1.104000," ","int((e*x)^(-1+2*n)/(a+b*sech(c+d*x^n))^2,x)","\int \frac{\left(e x \right)^{-1+2 n}}{\left(a +b \,\mathrm{sech}\left(c +d \,x^{n}\right)\right)^{2}}\, dx"," ",0,"int((e*x)^(-1+2*n)/(a+b*sech(c+d*x^n))^2,x)","F"
84,0,0,1234,1.375000," ","int((e*x)^(3*n-1)/(a+b*sech(c+d*x^n))^2,x)","\int \frac{\left(e x \right)^{3 n -1}}{\left(a +b \,\mathrm{sech}\left(c +d \,x^{n}\right)\right)^{2}}\, dx"," ",0,"int((e*x)^(3*n-1)/(a+b*sech(c+d*x^n))^2,x)","F"