1,1,12,0,0.129420," ","integrate(sech(b*x+a),x, algorithm=""giac"")","\frac{2 \, \arctan\left(e^{\left(b x + a\right)}\right)}{b}"," ",0,"2*arctan(e^(b*x + a))/b","A",0
2,1,18,0,0.135309," ","integrate(sech(b*x+a)^2,x, algorithm=""giac"")","-\frac{2}{b {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}}"," ",0,"-2/(b*(e^(2*b*x + 2*a) + 1))","A",0
3,1,76,0,0.139499," ","integrate(sech(b*x+a)^3,x, algorithm=""giac"")","\frac{\pi + \frac{4 \, {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}}{{\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{2} + 4} + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right)}{4 \, b}"," ",0,"1/4*(pi + 4*(e^(b*x + a) - e^(-b*x - a))/((e^(b*x + a) - e^(-b*x - a))^2 + 4) + 2*arctan(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)))/b","B",0
4,1,31,0,0.110262," ","integrate(sech(b*x+a)^4,x, algorithm=""giac"")","-\frac{4 \, {\left(3 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}}{3 \, b {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{3}}"," ",0,"-4/3*(3*e^(2*b*x + 2*a) + 1)/(b*(e^(2*b*x + 2*a) + 1)^3)","A",0
5,1,102,0,0.114983," ","integrate(sech(b*x+a)^5,x, algorithm=""giac"")","\frac{3 \, \pi + \frac{4 \, {\left(3 \, {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{3} + 20 \, e^{\left(b x + a\right)} - 20 \, e^{\left(-b x - a\right)}\right)}}{{\left({\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{2} + 4\right)}^{2}} + 6 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right)}{16 \, b}"," ",0,"1/16*(3*pi + 4*(3*(e^(b*x + a) - e^(-b*x - a))^3 + 20*e^(b*x + a) - 20*e^(-b*x - a))/((e^(b*x + a) - e^(-b*x - a))^2 + 4)^2 + 6*arctan(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)))/b","B",0
6,1,42,0,0.114249," ","integrate(sech(b*x+a)^6,x, algorithm=""giac"")","-\frac{16 \, {\left(10 \, e^{\left(4 \, b x + 4 \, a\right)} + 5 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}}{15 \, b {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{5}}"," ",0,"-16/15*(10*e^(4*b*x + 4*a) + 5*e^(2*b*x + 2*a) + 1)/(b*(e^(2*b*x + 2*a) + 1)^5)","A",0
7,1,18,0,0.111642," ","integrate(sech(7*x)^4,x, algorithm=""giac"")","-\frac{4 \, {\left(3 \, e^{\left(14 \, x\right)} + 1\right)}}{21 \, {\left(e^{\left(14 \, x\right)} + 1\right)}^{3}}"," ",0,"-4/21*(3*e^(14*x) + 1)/(e^(14*x) + 1)^3","A",0
8,1,30,0,0.135835," ","integrate(sech(pi*x)^6,x, algorithm=""giac"")","-\frac{16 \, {\left(10 \, e^{\left(4 \, \pi x\right)} + 5 \, e^{\left(2 \, \pi x\right)} + 1\right)}}{15 \, \pi {\left(e^{\left(2 \, \pi x\right)} + 1\right)}^{5}}"," ",0,"-16/15*(10*e^(4*pi*x) + 5*e^(2*pi*x) + 1)/(pi*(e^(2*pi*x) + 1)^5)","A",0
9,0,0,0,0.000000," ","integrate(sech(b*x+a)^(5/2),x, algorithm=""giac"")","\int \operatorname{sech}\left(b x + a\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sech(b*x + a)^(5/2), x)","F",0
10,0,0,0,0.000000," ","integrate(sech(b*x+a)^(3/2),x, algorithm=""giac"")","\int \operatorname{sech}\left(b x + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sech(b*x + a)^(3/2), x)","F",0
11,0,0,0,0.000000," ","integrate(sech(b*x+a)^(1/2),x, algorithm=""giac"")","\int \sqrt{\operatorname{sech}\left(b x + a\right)}\,{d x}"," ",0,"integrate(sqrt(sech(b*x + a)), x)","F",0
12,0,0,0,0.000000," ","integrate(1/sech(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{\operatorname{sech}\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/sqrt(sech(b*x + a)), x)","F",0
13,0,0,0,0.000000," ","integrate(1/sech(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\operatorname{sech}\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sech(b*x + a)^(-3/2), x)","F",0
14,0,0,0,0.000000," ","integrate(1/sech(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{1}{\operatorname{sech}\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sech(b*x + a)^(-5/2), x)","F",0
15,0,0,0,0.000000," ","integrate((b*sech(d*x+c))^(7/2),x, algorithm=""giac"")","\int \left(b \operatorname{sech}\left(d x + c\right)\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((b*sech(d*x + c))^(7/2), x)","F",0
16,0,0,0,0.000000," ","integrate((b*sech(d*x+c))^(5/2),x, algorithm=""giac"")","\int \left(b \operatorname{sech}\left(d x + c\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*sech(d*x + c))^(5/2), x)","F",0
17,0,0,0,0.000000," ","integrate((b*sech(d*x+c))^(3/2),x, algorithm=""giac"")","\int \left(b \operatorname{sech}\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sech(d*x + c))^(3/2), x)","F",0
18,0,0,0,0.000000," ","integrate((b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \operatorname{sech}\left(d x + c\right)}\,{d x}"," ",0,"integrate(sqrt(b*sech(d*x + c)), x)","F",0
19,0,0,0,0.000000," ","integrate(1/(b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \operatorname{sech}\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/sqrt(b*sech(d*x + c)), x)","F",0
20,0,0,0,0.000000," ","integrate(1/(b*sech(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \operatorname{sech}\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sech(d*x + c))^(-3/2), x)","F",0
21,0,0,0,0.000000," ","integrate(1/(b*sech(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \operatorname{sech}\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sech(d*x + c))^(-5/2), x)","F",0
22,0,0,0,0.000000," ","integrate(1/(b*sech(d*x+c))^(7/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \operatorname{sech}\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*sech(d*x + c))^(-7/2), x)","F",0
23,0,0,0,0.000000," ","integrate((b*sech(d*x+c))^n,x, algorithm=""giac"")","\int \left(b \operatorname{sech}\left(d x + c\right)\right)^{n}\,{d x}"," ",0,"integrate((b*sech(d*x + c))^n, x)","F",0
24,1,124,0,0.117620," ","integrate((sech(b*x+a)^2)^(7/2),x, algorithm=""giac"")","\frac{15 \, \pi + \frac{4 \, {\left(15 \, {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{5} + 160 \, {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{3} + 528 \, e^{\left(b x + a\right)} - 528 \, e^{\left(-b x - a\right)}\right)}}{{\left({\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{2} + 4\right)}^{3}} + 30 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right)}{96 \, b}"," ",0,"1/96*(15*pi + 4*(15*(e^(b*x + a) - e^(-b*x - a))^5 + 160*(e^(b*x + a) - e^(-b*x - a))^3 + 528*e^(b*x + a) - 528*e^(-b*x - a))/((e^(b*x + a) - e^(-b*x - a))^2 + 4)^3 + 30*arctan(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)))/b","A",0
25,1,102,0,0.139161," ","integrate((sech(b*x+a)^2)^(5/2),x, algorithm=""giac"")","\frac{3 \, \pi + \frac{4 \, {\left(3 \, {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{3} + 20 \, e^{\left(b x + a\right)} - 20 \, e^{\left(-b x - a\right)}\right)}}{{\left({\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{2} + 4\right)}^{2}} + 6 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right)}{16 \, b}"," ",0,"1/16*(3*pi + 4*(3*(e^(b*x + a) - e^(-b*x - a))^3 + 20*e^(b*x + a) - 20*e^(-b*x - a))/((e^(b*x + a) - e^(-b*x - a))^2 + 4)^2 + 6*arctan(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)))/b","A",0
26,1,76,0,0.127766," ","integrate((sech(b*x+a)^2)^(3/2),x, algorithm=""giac"")","\frac{\pi + \frac{4 \, {\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}}{{\left(e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}\right)}^{2} + 4} + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x + 2 \, a\right)} - 1\right)} e^{\left(-b x - a\right)}\right)}{4 \, b}"," ",0,"1/4*(pi + 4*(e^(b*x + a) - e^(-b*x - a))/((e^(b*x + a) - e^(-b*x - a))^2 + 4) + 2*arctan(1/2*(e^(2*b*x + 2*a) - 1)*e^(-b*x - a)))/b","B",0
27,1,12,0,0.131270," ","integrate((sech(b*x+a)^2)^(1/2),x, algorithm=""giac"")","\frac{2 \, \arctan\left(e^{\left(b x + a\right)}\right)}{b}"," ",0,"2*arctan(e^(b*x + a))/b","A",0
28,1,23,0,0.129838," ","integrate(1/(sech(b*x+a)^2)^(1/2),x, algorithm=""giac"")","\frac{e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"1/2*(e^(b*x + a) - e^(-b*x - a))/b","A",0
29,1,48,0,0.114974," ","integrate(1/(sech(b*x+a)^2)^(3/2),x, algorithm=""giac"")","-\frac{{\left(9 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-3 \, b x - 3 \, a\right)} - e^{\left(3 \, b x + 3 \, a\right)} - 9 \, e^{\left(b x + a\right)}}{24 \, b}"," ",0,"-1/24*((9*e^(2*b*x + 2*a) + 1)*e^(-3*b*x - 3*a) - e^(3*b*x + 3*a) - 9*e^(b*x + a))/b","A",0
30,1,70,0,0.119605," ","integrate(1/(sech(b*x+a)^2)^(5/2),x, algorithm=""giac"")","-\frac{{\left(150 \, e^{\left(4 \, b x + 4 \, a\right)} + 25 \, e^{\left(2 \, b x + 2 \, a\right)} + 3\right)} e^{\left(-5 \, b x - 5 \, a\right)} - 3 \, e^{\left(5 \, b x + 5 \, a\right)} - 25 \, e^{\left(3 \, b x + 3 \, a\right)} - 150 \, e^{\left(b x + a\right)}}{480 \, b}"," ",0,"-1/480*((150*e^(4*b*x + 4*a) + 25*e^(2*b*x + 2*a) + 3)*e^(-5*b*x - 5*a) - 3*e^(5*b*x + 5*a) - 25*e^(3*b*x + 3*a) - 150*e^(b*x + a))/b","A",0
31,1,92,0,0.134466," ","integrate(1/(sech(b*x+a)^2)^(7/2),x, algorithm=""giac"")","-\frac{{\left(1225 \, e^{\left(6 \, b x + 6 \, a\right)} + 245 \, e^{\left(4 \, b x + 4 \, a\right)} + 49 \, e^{\left(2 \, b x + 2 \, a\right)} + 5\right)} e^{\left(-7 \, b x - 7 \, a\right)} - 5 \, e^{\left(7 \, b x + 7 \, a\right)} - 49 \, e^{\left(5 \, b x + 5 \, a\right)} - 245 \, e^{\left(3 \, b x + 3 \, a\right)} - 1225 \, e^{\left(b x + a\right)}}{4480 \, b}"," ",0,"-1/4480*((1225*e^(6*b*x + 6*a) + 245*e^(4*b*x + 4*a) + 49*e^(2*b*x + 2*a) + 5)*e^(-7*b*x - 7*a) - 5*e^(7*b*x + 7*a) - 49*e^(5*b*x + 5*a) - 245*e^(3*b*x + 3*a) - 1225*e^(b*x + a))/b","A",0
32,1,65,0,0.125485," ","integrate((a*sech(x)^2)^(5/2),x, algorithm=""giac"")","\frac{1}{16} \, {\left(3 \, \pi - \frac{4 \, {\left(3 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} + 20 \, e^{\left(-x\right)} - 20 \, e^{x}\right)}}{{\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}^{2}} + 6 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} a^{\frac{5}{2}}"," ",0,"1/16*(3*pi - 4*(3*(e^(-x) - e^x)^3 + 20*e^(-x) - 20*e^x)/((e^(-x) - e^x)^2 + 4)^2 + 6*arctan(1/2*(e^(2*x) - 1)*e^(-x)))*a^(5/2)","A",0
33,1,48,0,0.134388," ","integrate((a*sech(x)^2)^(3/2),x, algorithm=""giac"")","\frac{1}{4} \, {\left(\pi - \frac{4 \, {\left(e^{\left(-x\right)} - e^{x}\right)}}{{\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4} + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)} a^{\frac{3}{2}}"," ",0,"1/4*(pi - 4*(e^(-x) - e^x)/((e^(-x) - e^x)^2 + 4) + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))*a^(3/2)","A",0
34,1,8,0,0.126273," ","integrate((a*sech(x)^2)^(1/2),x, algorithm=""giac"")","2 \, \sqrt{a} \arctan\left(e^{x}\right)"," ",0,"2*sqrt(a)*arctan(e^x)","A",0
35,1,14,0,0.110221," ","integrate(1/(a*sech(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{e^{\left(-x\right)} - e^{x}}{2 \, \sqrt{a}}"," ",0,"-1/2*(e^(-x) - e^x)/sqrt(a)","A",0
36,1,29,0,0.134516," ","integrate(1/(a*sech(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{{\left(9 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-3 \, x\right)} - e^{\left(3 \, x\right)} - 9 \, e^{x}}{24 \, a^{\frac{3}{2}}}"," ",0,"-1/24*((9*e^(2*x) + 1)*e^(-3*x) - e^(3*x) - 9*e^x)/a^(3/2)","A",0
37,1,41,0,0.116116," ","integrate(1/(a*sech(x)^2)^(5/2),x, algorithm=""giac"")","-\frac{{\left(150 \, e^{\left(4 \, x\right)} + 25 \, e^{\left(2 \, x\right)} + 3\right)} e^{\left(-5 \, x\right)} - 3 \, e^{\left(5 \, x\right)} - 25 \, e^{\left(3 \, x\right)} - 150 \, e^{x}}{480 \, a^{\frac{5}{2}}}"," ",0,"-1/480*((150*e^(4*x) + 25*e^(2*x) + 3)*e^(-5*x) - 3*e^(5*x) - 25*e^(3*x) - 150*e^x)/a^(5/2)","A",0
38,1,53,0,0.131860," ","integrate(1/(a*sech(x)^2)^(7/2),x, algorithm=""giac"")","-\frac{{\left(1225 \, e^{\left(6 \, x\right)} + 245 \, e^{\left(4 \, x\right)} + 49 \, e^{\left(2 \, x\right)} + 5\right)} e^{\left(-7 \, x\right)} - 5 \, e^{\left(7 \, x\right)} - 49 \, e^{\left(5 \, x\right)} - 245 \, e^{\left(3 \, x\right)} - 1225 \, e^{x}}{4480 \, a^{\frac{7}{2}}}"," ",0,"-1/4480*((1225*e^(6*x) + 245*e^(4*x) + 49*e^(2*x) + 5)*e^(-7*x) - 5*e^(7*x) - 49*e^(5*x) - 245*e^(3*x) - 1225*e^x)/a^(7/2)","A",0
39,0,0,0,0.000000," ","integrate((a*sech(x)^3)^(5/2),x, algorithm=""giac"")","\int \left(a \operatorname{sech}\left(x\right)^{3}\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((a*sech(x)^3)^(5/2), x)","F",0
40,0,0,0,0.000000," ","integrate((a*sech(x)^3)^(3/2),x, algorithm=""giac"")","\int \left(a \operatorname{sech}\left(x\right)^{3}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a*sech(x)^3)^(3/2), x)","F",0
41,0,0,0,0.000000," ","integrate((a*sech(x)^3)^(1/2),x, algorithm=""giac"")","\int \sqrt{a \operatorname{sech}\left(x\right)^{3}}\,{d x}"," ",0,"integrate(sqrt(a*sech(x)^3), x)","F",0
42,0,0,0,0.000000," ","integrate(1/(a*sech(x)^3)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{a \operatorname{sech}\left(x\right)^{3}}}\,{d x}"," ",0,"integrate(1/sqrt(a*sech(x)^3), x)","F",0
43,0,0,0,0.000000," ","integrate(1/(a*sech(x)^3)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(a \operatorname{sech}\left(x\right)^{3}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sech(x)^3)^(-3/2), x)","F",0
44,0,0,0,0.000000," ","integrate(1/(a*sech(x)^3)^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(a \operatorname{sech}\left(x\right)^{3}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((a*sech(x)^3)^(-5/2), x)","F",0
45,1,51,0,0.117601," ","integrate((a*sech(x)^4)^(7/2),x, algorithm=""giac"")","-\frac{2048 \, a^{\frac{7}{2}} {\left(1716 \, e^{\left(12 \, x\right)} + 1287 \, e^{\left(10 \, x\right)} + 715 \, e^{\left(8 \, x\right)} + 286 \, e^{\left(6 \, x\right)} + 78 \, e^{\left(4 \, x\right)} + 13 \, e^{\left(2 \, x\right)} + 1\right)}}{3003 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{13}}"," ",0,"-2048/3003*a^(7/2)*(1716*e^(12*x) + 1287*e^(10*x) + 715*e^(8*x) + 286*e^(6*x) + 78*e^(4*x) + 13*e^(2*x) + 1)/(e^(2*x) + 1)^13","A",0
46,1,39,0,0.131849," ","integrate((a*sech(x)^4)^(5/2),x, algorithm=""giac"")","-\frac{256 \, a^{\frac{5}{2}} {\left(126 \, e^{\left(8 \, x\right)} + 84 \, e^{\left(6 \, x\right)} + 36 \, e^{\left(4 \, x\right)} + 9 \, e^{\left(2 \, x\right)} + 1\right)}}{315 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{9}}"," ",0,"-256/315*a^(5/2)*(126*e^(8*x) + 84*e^(6*x) + 36*e^(4*x) + 9*e^(2*x) + 1)/(e^(2*x) + 1)^9","A",0
47,1,27,0,0.113887," ","integrate((a*sech(x)^4)^(3/2),x, algorithm=""giac"")","-\frac{16 \, a^{\frac{3}{2}} {\left(10 \, e^{\left(4 \, x\right)} + 5 \, e^{\left(2 \, x\right)} + 1\right)}}{15 \, {\left(e^{\left(2 \, x\right)} + 1\right)}^{5}}"," ",0,"-16/15*a^(3/2)*(10*e^(4*x) + 5*e^(2*x) + 1)/(e^(2*x) + 1)^5","A",0
48,1,13,0,0.107809," ","integrate((a*sech(x)^4)^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{a}}{e^{\left(2 \, x\right)} + 1}"," ",0,"-2*sqrt(a)/(e^(2*x) + 1)","A",0
49,1,28,0,0.111897," ","integrate(1/(a*sech(x)^4)^(1/2),x, algorithm=""giac"")","-\frac{{\left(2 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-2 \, x\right)} - 4 \, x - e^{\left(2 \, x\right)}}{8 \, \sqrt{a}}"," ",0,"-1/8*((2*e^(2*x) + 1)*e^(-2*x) - 4*x - e^(2*x))/sqrt(a)","A",0
50,1,52,0,0.130508," ","integrate(1/(a*sech(x)^4)^(3/2),x, algorithm=""giac"")","-\frac{{\left(110 \, e^{\left(6 \, x\right)} + 45 \, e^{\left(4 \, x\right)} + 9 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-6 \, x\right)} - 120 \, x - e^{\left(6 \, x\right)} - 9 \, e^{\left(4 \, x\right)} - 45 \, e^{\left(2 \, x\right)}}{384 \, a^{\frac{3}{2}}}"," ",0,"-1/384*((110*e^(6*x) + 45*e^(4*x) + 9*e^(2*x) + 1)*e^(-6*x) - 120*x - e^(6*x) - 9*e^(4*x) - 45*e^(2*x))/a^(3/2)","A",0
51,1,76,0,0.134666," ","integrate(1/(a*sech(x)^4)^(5/2),x, algorithm=""giac"")","-\frac{{\left(5754 \, e^{\left(10 \, x\right)} + 2100 \, e^{\left(8 \, x\right)} + 600 \, e^{\left(6 \, x\right)} + 150 \, e^{\left(4 \, x\right)} + 25 \, e^{\left(2 \, x\right)} + 2\right)} e^{\left(-10 \, x\right)} - 5040 \, x - 2 \, e^{\left(10 \, x\right)} - 25 \, e^{\left(8 \, x\right)} - 150 \, e^{\left(6 \, x\right)} - 600 \, e^{\left(4 \, x\right)} - 2100 \, e^{\left(2 \, x\right)}}{20480 \, a^{\frac{5}{2}}}"," ",0,"-1/20480*((5754*e^(10*x) + 2100*e^(8*x) + 600*e^(6*x) + 150*e^(4*x) + 25*e^(2*x) + 2)*e^(-10*x) - 5040*x - 2*e^(10*x) - 25*e^(8*x) - 150*e^(6*x) - 600*e^(4*x) - 2100*e^(2*x))/a^(5/2)","A",0
52,1,42,0,0.112346," ","integrate(sinh(x)^4/(a+a*sech(x)),x, algorithm=""giac"")","-\frac{{\left(24 \, e^{\left(3 \, x\right)} - 8 \, e^{x} + 3\right)} e^{\left(-4 \, x\right)} + 24 \, x - 3 \, e^{\left(4 \, x\right)} + 8 \, e^{\left(3 \, x\right)} - 24 \, e^{x}}{192 \, a}"," ",0,"-1/192*((24*e^(3*x) - 8*e^x + 3)*e^(-4*x) + 24*x - 3*e^(4*x) + 8*e^(3*x) - 24*e^x)/a","A",0
53,1,37,0,0.129609," ","integrate(sinh(x)^3/(a+a*sech(x)),x, algorithm=""giac"")","\frac{{\left(3 \, e^{\left(2 \, x\right)} - 3 \, e^{x} + 1\right)} e^{\left(-3 \, x\right)} + e^{\left(3 \, x\right)} - 3 \, e^{\left(2 \, x\right)} + 3 \, e^{x}}{24 \, a}"," ",0,"1/24*((3*e^(2*x) - 3*e^x + 1)*e^(-3*x) + e^(3*x) - 3*e^(2*x) + 3*e^x)/a","A",0
54,1,28,0,0.110268," ","integrate(sinh(x)^2/(a+a*sech(x)),x, algorithm=""giac"")","\frac{{\left(4 \, e^{x} - 1\right)} e^{\left(-2 \, x\right)} + 4 \, x + e^{\left(2 \, x\right)} - 4 \, e^{x}}{8 \, a}"," ",0,"1/8*((4*e^x - 1)*e^(-2*x) + 4*x + e^(2*x) - 4*e^x)/a","A",0
55,1,32,0,0.133184," ","integrate(sinh(x)/(a+a*sech(x)),x, algorithm=""giac"")","\frac{x}{a} + \frac{e^{\left(-x\right)}}{2 \, a} + \frac{e^{x}}{2 \, a} - \frac{2 \, \log\left(e^{x} + 1\right)}{a}"," ",0,"x/a + 1/2*e^(-x)/a + 1/2*e^x/a - 2*log(e^x + 1)/a","A",0
56,1,52,0,0.128237," ","integrate(csch(x)/(a+a*sech(x)),x, algorithm=""giac"")","-\frac{\log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{4 \, a} + \frac{\log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{4 \, a} + \frac{e^{\left(-x\right)} + e^{x} - 2}{4 \, a {\left(e^{\left(-x\right)} + e^{x} + 2\right)}}"," ",0,"-1/4*log(e^(-x) + e^x + 2)/a + 1/4*log(e^(-x) + e^x - 2)/a + 1/4*(e^(-x) + e^x - 2)/(a*(e^(-x) + e^x + 2))","A",0
57,1,31,0,0.111782," ","integrate(csch(x)^2/(a+a*sech(x)),x, algorithm=""giac"")","-\frac{1}{2 \, a {\left(e^{x} - 1\right)}} + \frac{3 \, e^{\left(2 \, x\right)} + 1}{6 \, a {\left(e^{x} + 1\right)}^{3}}"," ",0,"-1/2/(a*(e^x - 1)) + 1/6*(3*e^(2*x) + 1)/(a*(e^x + 1)^3)","A",0
58,1,90,0,0.114142," ","integrate(csch(x)^3/(a+a*sech(x)),x, algorithm=""giac"")","\frac{\log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{16 \, a} - \frac{\log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{16 \, a} + \frac{e^{\left(-x\right)} + e^{x} - 6}{16 \, a {\left(e^{\left(-x\right)} + e^{x} - 2\right)}} - \frac{3 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 12 \, e^{\left(-x\right)} + 12 \, e^{x} - 4}{32 \, a {\left(e^{\left(-x\right)} + e^{x} + 2\right)}^{2}}"," ",0,"1/16*log(e^(-x) + e^x + 2)/a - 1/16*log(e^(-x) + e^x - 2)/a + 1/16*(e^(-x) + e^x - 6)/(a*(e^(-x) + e^x - 2)) - 1/32*(3*(e^(-x) + e^x)^2 + 12*e^(-x) + 12*e^x - 4)/(a*(e^(-x) + e^x + 2)^2)","B",0
59,1,59,0,0.114169," ","integrate(csch(x)^4/(a+a*sech(x)),x, algorithm=""giac"")","\frac{3 \, e^{\left(2 \, x\right)} - 12 \, e^{x} + 5}{24 \, a {\left(e^{x} - 1\right)}^{3}} - \frac{15 \, e^{\left(4 \, x\right)} + 60 \, e^{\left(3 \, x\right)} + 10 \, e^{\left(2 \, x\right)} + 20 \, e^{x} + 7}{120 \, a {\left(e^{x} + 1\right)}^{5}}"," ",0,"1/24*(3*e^(2*x) - 12*e^x + 5)/(a*(e^x - 1)^3) - 1/120*(15*e^(4*x) + 60*e^(3*x) + 10*e^(2*x) + 20*e^x + 7)/(a*(e^x + 1)^5)","B",0
60,1,197,0,0.137560," ","integrate(sinh(x)^4/(a+b*sech(x)),x, algorithm=""giac"")","\frac{3 \, a^{3} e^{\left(4 \, x\right)} - 8 \, a^{2} b e^{\left(3 \, x\right)} - 24 \, a^{3} e^{\left(2 \, x\right)} + 24 \, a b^{2} e^{\left(2 \, x\right)} + 120 \, a^{2} b e^{x} - 96 \, b^{3} e^{x}}{192 \, a^{4}} + \frac{{\left(3 \, a^{4} - 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} x}{8 \, a^{5}} + \frac{{\left(8 \, a^{3} b e^{x} - 3 \, a^{4} - 24 \, {\left(5 \, a^{3} b - 4 \, a b^{3}\right)} e^{\left(3 \, x\right)} + 24 \, {\left(a^{4} - a^{2} b^{2}\right)} e^{\left(2 \, x\right)}\right)} e^{\left(-4 \, x\right)}}{192 \, a^{5}} - \frac{2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} a^{5}}"," ",0,"1/192*(3*a^3*e^(4*x) - 8*a^2*b*e^(3*x) - 24*a^3*e^(2*x) + 24*a*b^2*e^(2*x) + 120*a^2*b*e^x - 96*b^3*e^x)/a^4 + 1/8*(3*a^4 - 12*a^2*b^2 + 8*b^4)*x/a^5 + 1/192*(8*a^3*b*e^x - 3*a^4 - 24*(5*a^3*b - 4*a*b^3)*e^(3*x) + 24*(a^4 - a^2*b^2)*e^(2*x))*e^(-4*x)/a^5 - 2*(a^4*b - 2*a^2*b^3 + b^5)*arctan((a*e^x + b)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*a^5)","A",0
61,1,87,0,0.137338," ","integrate(sinh(x)^3/(a+b*sech(x)),x, algorithm=""giac"")","\frac{a^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - 3 \, a b {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 12 \, a^{2} {\left(e^{\left(-x\right)} + e^{x}\right)} + 12 \, b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}}{24 \, a^{3}} + \frac{{\left(a^{2} b - b^{3}\right)} \log\left({\left| a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b \right|}\right)}{a^{4}}"," ",0,"1/24*(a^2*(e^(-x) + e^x)^3 - 3*a*b*(e^(-x) + e^x)^2 - 12*a^2*(e^(-x) + e^x) + 12*b^2*(e^(-x) + e^x))/a^3 + (a^2*b - b^3)*log(abs(a*(e^(-x) + e^x) + 2*b))/a^4","A",0
62,1,100,0,0.136644," ","integrate(sinh(x)^2/(a+b*sech(x)),x, algorithm=""giac"")","\frac{a e^{\left(2 \, x\right)} - 4 \, b e^{x}}{8 \, a^{2}} - \frac{{\left(a^{2} - 2 \, b^{2}\right)} x}{2 \, a^{3}} + \frac{{\left(4 \, a b e^{x} - a^{2}\right)} e^{\left(-2 \, x\right)}}{8 \, a^{3}} + \frac{2 \, {\left(a^{2} b - b^{3}\right)} \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} a^{3}}"," ",0,"1/8*(a*e^(2*x) - 4*b*e^x)/a^2 - 1/2*(a^2 - 2*b^2)*x/a^3 + 1/8*(4*a*b*e^x - a^2)*e^(-2*x)/a^3 + 2*(a^2*b - b^3)*arctan((a*e^x + b)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*a^3)","A",0
63,1,34,0,0.117479," ","integrate(sinh(x)/(a+b*sech(x)),x, algorithm=""giac"")","\frac{e^{\left(-x\right)} + e^{x}}{2 \, a} - \frac{b \log\left({\left| a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b \right|}\right)}{a^{2}}"," ",0,"1/2*(e^(-x) + e^x)/a - b*log(abs(a*(e^(-x) + e^x) + 2*b))/a^2","A",0
64,1,65,0,0.115459," ","integrate(csch(x)/(a+b*sech(x)),x, algorithm=""giac"")","\frac{a b \log\left({\left| a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b \right|}\right)}{a^{3} - a b^{2}} - \frac{\log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{2 \, {\left(a - b\right)}} + \frac{\log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{2 \, {\left(a + b\right)}}"," ",0,"a*b*log(abs(a*(e^(-x) + e^x) + 2*b))/(a^3 - a*b^2) - 1/2*log(e^(-x) + e^x + 2)/(a - b) + 1/2*log(e^(-x) + e^x - 2)/(a + b)","A",0
65,1,64,0,0.120219," ","integrate(csch(x)^2/(a+b*sech(x)),x, algorithm=""giac"")","\frac{2 \, a b \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{2} - b^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, {\left(b e^{x} - a\right)}}{{\left(a^{2} - b^{2}\right)} {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"2*a*b*arctan((a*e^x + b)/sqrt(a^2 - b^2))/(a^2 - b^2)^(3/2) + 2*(b*e^x - a)/((a^2 - b^2)*(e^(2*x) - 1))","A",0
66,1,174,0,0.140168," ","integrate(csch(x)^3/(a+b*sech(x)),x, algorithm=""giac"")","-\frac{a^{3} b \log\left({\left| a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b \right|}\right)}{a^{5} - 2 \, a^{3} b^{2} + a b^{4}} + \frac{a \log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{4 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}} - \frac{a \log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{4 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} - \frac{a^{2} b {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 2 \, a^{3} {\left(e^{\left(-x\right)} + e^{x}\right)} - 2 \, a b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)} - 8 \, a^{2} b + 4 \, b^{3}}{2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left({\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 4\right)}}"," ",0,"-a^3*b*log(abs(a*(e^(-x) + e^x) + 2*b))/(a^5 - 2*a^3*b^2 + a*b^4) + 1/4*a*log(e^(-x) + e^x + 2)/(a^2 - 2*a*b + b^2) - 1/4*a*log(e^(-x) + e^x - 2)/(a^2 + 2*a*b + b^2) - 1/2*(a^2*b*(e^(-x) + e^x)^2 + 2*a^3*(e^(-x) + e^x) - 2*a*b^2*(e^(-x) + e^x) - 8*a^2*b + 4*b^3)/((a^4 - 2*a^2*b^2 + b^4)*((e^(-x) + e^x)^2 - 4))","B",0
67,1,149,0,0.143316," ","integrate(csch(x)^4/(a+b*sech(x)),x, algorithm=""giac"")","-\frac{2 \, a^{3} b \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} - b^{2}}} - \frac{2 \, {\left(3 \, a^{2} b e^{\left(5 \, x\right)} - 3 \, a b^{2} e^{\left(4 \, x\right)} - 10 \, a^{2} b e^{\left(3 \, x\right)} + 4 \, b^{3} e^{\left(3 \, x\right)} + 6 \, a^{3} e^{\left(2 \, x\right)} + 3 \, a^{2} b e^{x} - 2 \, a^{3} - a b^{2}\right)}}{3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"-2*a^3*b*arctan((a*e^x + b)/sqrt(a^2 - b^2))/((a^4 - 2*a^2*b^2 + b^4)*sqrt(a^2 - b^2)) - 2/3*(3*a^2*b*e^(5*x) - 3*a*b^2*e^(4*x) - 10*a^2*b*e^(3*x) + 4*b^3*e^(3*x) + 6*a^3*e^(2*x) + 3*a^2*b*e^x - 2*a^3 - a*b^2)/((a^4 - 2*a^2*b^2 + b^4)*(e^(2*x) - 1)^3)","A",0
68,1,86,0,0.111368," ","integrate(cosh(x)^4/(a+a*sech(x)),x, algorithm=""giac"")","\frac{15 \, x}{8 \, a} + \frac{{\left(552 \, e^{\left(4 \, x\right)} + 120 \, e^{\left(3 \, x\right)} - 40 \, e^{\left(2 \, x\right)} + 5 \, e^{x} - 3\right)} e^{\left(-4 \, x\right)}}{192 \, a {\left(e^{x} + 1\right)}} + \frac{3 \, a^{3} e^{\left(4 \, x\right)} - 8 \, a^{3} e^{\left(3 \, x\right)} + 48 \, a^{3} e^{\left(2 \, x\right)} - 168 \, a^{3} e^{x}}{192 \, a^{4}}"," ",0,"15/8*x/a + 1/192*(552*e^(4*x) + 120*e^(3*x) - 40*e^(2*x) + 5*e^x - 3)*e^(-4*x)/(a*(e^x + 1)) + 1/192*(3*a^3*e^(4*x) - 8*a^3*e^(3*x) + 48*a^3*e^(2*x) - 168*a^3*e^x)/a^4","A",0
69,1,70,0,0.114082," ","integrate(cosh(x)^3/(a+a*sech(x)),x, algorithm=""giac"")","-\frac{3 \, x}{2 \, a} - \frac{{\left(69 \, e^{\left(3 \, x\right)} + 18 \, e^{\left(2 \, x\right)} - 2 \, e^{x} + 1\right)} e^{\left(-3 \, x\right)}}{24 \, a {\left(e^{x} + 1\right)}} + \frac{a^{2} e^{\left(3 \, x\right)} - 3 \, a^{2} e^{\left(2 \, x\right)} + 21 \, a^{2} e^{x}}{24 \, a^{3}}"," ",0,"-3/2*x/a - 1/24*(69*e^(3*x) + 18*e^(2*x) - 2*e^x + 1)*e^(-3*x)/(a*(e^x + 1)) + 1/24*(a^2*e^(3*x) - 3*a^2*e^(2*x) + 21*a^2*e^x)/a^3","A",0
70,1,51,0,0.111207," ","integrate(cosh(x)^2/(a+a*sech(x)),x, algorithm=""giac"")","\frac{3 \, x}{2 \, a} + \frac{{\left(20 \, e^{\left(2 \, x\right)} + 3 \, e^{x} - 1\right)} e^{\left(-2 \, x\right)}}{8 \, a {\left(e^{x} + 1\right)}} + \frac{a e^{\left(2 \, x\right)} - 4 \, a e^{x}}{8 \, a^{2}}"," ",0,"3/2*x/a + 1/8*(20*e^(2*x) + 3*e^x - 1)*e^(-2*x)/(a*(e^x + 1)) + 1/8*(a*e^(2*x) - 4*a*e^x)/a^2","A",0
71,1,35,0,0.112871," ","integrate(cosh(x)/(a+a*sech(x)),x, algorithm=""giac"")","-\frac{x}{a} - \frac{{\left(5 \, e^{x} + 1\right)} e^{\left(-x\right)}}{2 \, a {\left(e^{x} + 1\right)}} + \frac{e^{x}}{2 \, a}"," ",0,"-x/a - 1/2*(5*e^x + 1)*e^(-x)/(a*(e^x + 1)) + 1/2*e^x/a","A",0
72,1,11,0,0.135823," ","integrate(sech(x)/(a+a*sech(x)),x, algorithm=""giac"")","-\frac{2}{a {\left(e^{x} + 1\right)}}"," ",0,"-2/(a*(e^x + 1))","A",0
73,1,20,0,0.132767," ","integrate(sech(x)^2/(a+a*sech(x)),x, algorithm=""giac"")","\frac{2 \, \arctan\left(e^{x}\right)}{a} + \frac{2}{a {\left(e^{x} + 1\right)}}"," ",0,"2*arctan(e^x)/a + 2/(a*(e^x + 1))","A",0
74,1,36,0,0.134518," ","integrate(sech(x)^3/(a+a*sech(x)),x, algorithm=""giac"")","-\frac{2 \, \arctan\left(e^{x}\right)}{a} - \frac{2 \, {\left(e^{\left(2 \, x\right)} + e^{x} + 2\right)}}{a {\left(e^{\left(3 \, x\right)} + e^{\left(2 \, x\right)} + e^{x} + 1\right)}}"," ",0,"-2*arctan(e^x)/a - 2*(e^(2*x) + e^x + 2)/(a*(e^(3*x) + e^(2*x) + e^x + 1))","A",0
75,1,48,0,0.117903," ","integrate(sech(x)^4/(a+a*sech(x)),x, algorithm=""giac"")","\frac{3 \, \arctan\left(e^{x}\right)}{a} + \frac{e^{\left(3 \, x\right)} + 2 \, e^{\left(2 \, x\right)} - e^{x} + 2}{a {\left(e^{\left(2 \, x\right)} + 1\right)}^{2}} + \frac{2}{a {\left(e^{x} + 1\right)}}"," ",0,"3*arctan(e^x)/a + (e^(3*x) + 2*e^(2*x) - e^x + 2)/(a*(e^(2*x) + 1)^2) + 2/(a*(e^x + 1))","A",0
76,1,29,0,0.117183," ","integrate(1/(a+a*sech(d*x+c)),x, algorithm=""giac"")","\frac{\frac{d x + c}{a} + \frac{2}{a {\left(e^{\left(d x + c\right)} + 1\right)}}}{d}"," ",0,"((d*x + c)/a + 2/(a*(e^(d*x + c) + 1)))/d","A",0
77,1,29,0,0.134886," ","integrate(1/(a-a*sech(d*x+c)),x, algorithm=""giac"")","\frac{\frac{d x + c}{a} - \frac{2}{a {\left(e^{\left(d x + c\right)} - 1\right)}}}{d}"," ",0,"((d*x + c)/a - 2/(a*(e^(d*x + c) - 1)))/d","A",0
78,1,151,0,0.322107," ","integrate((a+a*sech(d*x+c))^(5/2),x, algorithm=""giac"")","\frac{\frac{6 \, a^{3} \arctan\left(-\frac{\sqrt{a} e^{\left(d x + c\right)} - \sqrt{a e^{\left(2 \, d x + 2 \, c\right)} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - 3 \, a^{\frac{5}{2}} \log\left({\left| -\sqrt{a} e^{\left(d x + c\right)} + \sqrt{a e^{\left(2 \, d x + 2 \, c\right)} + a} \right|}\right) - \frac{4 \, {\left(4 \, a^{4} - {\left(3 \, a^{4} e^{c} + {\left(4 \, a^{4} e^{\left(d x + 3 \, c\right)} - 3 \, a^{4} e^{\left(2 \, c\right)}\right)} e^{\left(d x\right)}\right)} e^{\left(d x\right)}\right)}}{{\left(a e^{\left(2 \, d x + 2 \, c\right)} + a\right)}^{\frac{3}{2}}}}{3 \, d}"," ",0,"1/3*(6*a^3*arctan(-(sqrt(a)*e^(d*x + c) - sqrt(a*e^(2*d*x + 2*c) + a))/sqrt(-a))/sqrt(-a) - 3*a^(5/2)*log(abs(-sqrt(a)*e^(d*x + c) + sqrt(a*e^(2*d*x + 2*c) + a))) - 4*(4*a^4 - (3*a^4*e^c + (4*a^4*e^(d*x + 3*c) - 3*a^4*e^(2*c))*e^(d*x))*e^(d*x))/(a*e^(2*d*x + 2*c) + a)^(3/2))/d","A",0
79,1,118,0,0.251203," ","integrate((a+a*sech(d*x+c))^(3/2),x, algorithm=""giac"")","\frac{\frac{2 \, a^{2} \arctan\left(-\frac{\sqrt{a} e^{\left(d x + c\right)} - \sqrt{a e^{\left(2 \, d x + 2 \, c\right)} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - a^{\frac{3}{2}} \log\left({\left| -\sqrt{a} e^{\left(d x + c\right)} + \sqrt{a e^{\left(2 \, d x + 2 \, c\right)} + a} \right|}\right) + \frac{2 \, {\left(a^{2} e^{\left(d x + c\right)} - a^{2}\right)}}{\sqrt{a e^{\left(2 \, d x + 2 \, c\right)} + a}}}{d}"," ",0,"(2*a^2*arctan(-(sqrt(a)*e^(d*x + c) - sqrt(a*e^(2*d*x + 2*c) + a))/sqrt(-a))/sqrt(-a) - a^(3/2)*log(abs(-sqrt(a)*e^(d*x + c) + sqrt(a*e^(2*d*x + 2*c) + a))) + 2*(a^2*e^(d*x + c) - a^2)/sqrt(a*e^(2*d*x + 2*c) + a))/d","B",0
80,1,83,0,0.214895," ","integrate((a+a*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\frac{\frac{2 \, a \arctan\left(-\frac{\sqrt{a} e^{\left(d x + c\right)} - \sqrt{a e^{\left(2 \, d x + 2 \, c\right)} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} - \sqrt{a} \log\left({\left| -\sqrt{a} e^{\left(d x + c\right)} + \sqrt{a e^{\left(2 \, d x + 2 \, c\right)} + a} \right|}\right)}{d}"," ",0,"(2*a*arctan(-(sqrt(a)*e^(d*x + c) - sqrt(a*e^(2*d*x + 2*c) + a))/sqrt(-a))/sqrt(-a) - sqrt(a)*log(abs(-sqrt(a)*e^(d*x + c) + sqrt(a*e^(2*d*x + 2*c) + a))))/d","B",0
81,-2,0,0,0.000000," ","integrate(1/(a+a*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
82,-2,0,0,0.000000," ","integrate(1/(a+a*sech(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Error: Bad Argument Type","F(-2)",0
83,1,101,0,0.211578," ","integrate((a-a*sech(d*x+c))^(1/2),x, algorithm=""giac"")","-\frac{\frac{2 \, a \arctan\left(-\frac{\sqrt{a} e^{\left(d x + c\right)} - \sqrt{a e^{\left(2 \, d x + 2 \, c\right)} + a}}{\sqrt{-a}}\right) \mathrm{sgn}\left(e^{\left(d x + c\right)} - 1\right)}{\sqrt{-a}} + \sqrt{a} \log\left({\left| -\sqrt{a} e^{\left(d x + c\right)} + \sqrt{a e^{\left(2 \, d x + 2 \, c\right)} + a} \right|}\right) \mathrm{sgn}\left(e^{\left(d x + c\right)} - 1\right)}{d}"," ",0,"-(2*a*arctan(-(sqrt(a)*e^(d*x + c) - sqrt(a*e^(2*d*x + 2*c) + a))/sqrt(-a))*sgn(e^(d*x + c) - 1)/sqrt(-a) + sqrt(a)*log(abs(-sqrt(a)*e^(d*x + c) + sqrt(a*e^(2*d*x + 2*c) + a)))*sgn(e^(d*x + c) - 1))/d","B",0
84,-2,0,0,0.000000," ","integrate(1/(a-a*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(exp(d*x+c)-1)]Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Warning, replacing 0 by ` u`, a substitution variable should perhaps be purged.Error: Bad Argument Type","F(-2)",0
85,1,52,0,0.144026," ","integrate((3+3*sech(x))^(1/2),x, algorithm=""giac"")","-\sqrt{3} {\left(\log\left(\sqrt{e^{\left(2 \, x\right)} + 1} - e^{x} + 1\right) + \log\left(\sqrt{e^{\left(2 \, x\right)} + 1} - e^{x}\right) - \log\left(-\sqrt{e^{\left(2 \, x\right)} + 1} + e^{x} + 1\right)\right)}"," ",0,"-sqrt(3)*(log(sqrt(e^(2*x) + 1) - e^x + 1) + log(sqrt(e^(2*x) + 1) - e^x) - log(-sqrt(e^(2*x) + 1) + e^x + 1))","B",0
86,1,69,0,0.131237," ","integrate((3-3*sech(x))^(1/2),x, algorithm=""giac"")","\sqrt{3} {\left(\log\left(\sqrt{e^{\left(2 \, x\right)} + 1} - e^{x} + 1\right) \mathrm{sgn}\left(e^{x} - 1\right) - \log\left(\sqrt{e^{\left(2 \, x\right)} + 1} - e^{x}\right) \mathrm{sgn}\left(e^{x} - 1\right) - \log\left(-\sqrt{e^{\left(2 \, x\right)} + 1} + e^{x} + 1\right) \mathrm{sgn}\left(e^{x} - 1\right)\right)}"," ",0,"sqrt(3)*(log(sqrt(e^(2*x) + 1) - e^x + 1)*sgn(e^x - 1) - log(sqrt(e^(2*x) + 1) - e^x)*sgn(e^x - 1) - log(-sqrt(e^(2*x) + 1) + e^x + 1)*sgn(e^x - 1))","B",0
87,1,141,0,0.126881," ","integrate((a+b*sech(d*x+c))^4,x, algorithm=""giac"")","\frac{3 \, {\left(d x + c\right)} a^{4} + 12 \, {\left(2 \, a^{3} b + a b^{3}\right)} \arctan\left(e^{\left(d x + c\right)}\right) + \frac{4 \, {\left(3 \, a b^{3} e^{\left(5 \, d x + 5 \, c\right)} - 9 \, a^{2} b^{2} e^{\left(4 \, d x + 4 \, c\right)} - 18 \, a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} - 3 \, b^{4} e^{\left(2 \, d x + 2 \, c\right)} - 3 \, a b^{3} e^{\left(d x + c\right)} - 9 \, a^{2} b^{2} - b^{4}\right)}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*(d*x + c)*a^4 + 12*(2*a^3*b + a*b^3)*arctan(e^(d*x + c)) + 4*(3*a*b^3*e^(5*d*x + 5*c) - 9*a^2*b^2*e^(4*d*x + 4*c) - 18*a^2*b^2*e^(2*d*x + 2*c) - 3*b^4*e^(2*d*x + 2*c) - 3*a*b^3*e^(d*x + c) - 9*a^2*b^2 - b^4)/(e^(2*d*x + 2*c) + 1)^3)/d","A",0
88,1,92,0,0.118293," ","integrate((a+b*sech(d*x+c))^3,x, algorithm=""giac"")","\frac{{\left(d x + c\right)} a^{3} + {\left(6 \, a^{2} b + b^{3}\right)} \arctan\left(e^{\left(d x + c\right)}\right) + \frac{b^{3} e^{\left(3 \, d x + 3 \, c\right)} - 6 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} - b^{3} e^{\left(d x + c\right)} - 6 \, a b^{2}}{{\left(e^{\left(2 \, d x + 2 \, c\right)} + 1\right)}^{2}}}{d}"," ",0,"((d*x + c)*a^3 + (6*a^2*b + b^3)*arctan(e^(d*x + c)) + (b^3*e^(3*d*x + 3*c) - 6*a*b^2*e^(2*d*x + 2*c) - b^3*e^(d*x + c) - 6*a*b^2)/(e^(2*d*x + 2*c) + 1)^2)/d","A",0
89,1,43,0,0.138264," ","integrate((a+b*sech(d*x+c))^2,x, algorithm=""giac"")","\frac{{\left(d x + c\right)} a^{2} + 4 \, a b \arctan\left(e^{\left(d x + c\right)}\right) - \frac{2 \, b^{2}}{e^{\left(2 \, d x + 2 \, c\right)} + 1}}{d}"," ",0,"((d*x + c)*a^2 + 4*a*b*arctan(e^(d*x + c)) - 2*b^2/(e^(2*d*x + 2*c) + 1))/d","A",0
90,1,17,0,0.111568," ","integrate(a+b*sech(d*x+c),x, algorithm=""giac"")","a x + \frac{2 \, b \arctan\left(e^{\left(d x + c\right)}\right)}{d}"," ",0,"a*x + 2*b*arctan(e^(d*x + c))/d","A",0
91,1,56,0,0.120290," ","integrate(1/(a+b*sech(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{2 \, b \arctan\left(\frac{a e^{\left(d x + c\right)} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} a} - \frac{d x + c}{a}}{d}"," ",0,"-(2*b*arctan((a*e^(d*x + c) + b)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*a) - (d*x + c)/a)/d","A",0
92,1,134,0,0.121435," ","integrate(1/(a+b*sech(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(2 \, a^{2} b - b^{3}\right)} \arctan\left(\frac{a e^{\left(d x + c\right)} + b}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{4} - a^{2} b^{2}\right)} \sqrt{a^{2} - b^{2}}} + \frac{2 \, {\left(b^{3} e^{\left(d x + c\right)} + a b^{2}\right)}}{{\left(a^{4} - a^{2} b^{2}\right)} {\left(a e^{\left(2 \, d x + 2 \, c\right)} + 2 \, b e^{\left(d x + c\right)} + a\right)}} - \frac{d x + c}{a^{2}}}{d}"," ",0,"-(2*(2*a^2*b - b^3)*arctan((a*e^(d*x + c) + b)/sqrt(a^2 - b^2))/((a^4 - a^2*b^2)*sqrt(a^2 - b^2)) + 2*(b^3*e^(d*x + c) + a*b^2)/((a^4 - a^2*b^2)*(a*e^(2*d*x + 2*c) + 2*b*e^(d*x + c) + a)) - (d*x + c)/a^2)/d","A",0
93,1,261,0,0.136743," ","integrate(1/(a+b*sech(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{{\left(6 \, a^{4} b - 5 \, a^{2} b^{3} + 2 \, b^{5}\right)} \arctan\left(\frac{a e^{\left(d x + c\right)} + b}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} \sqrt{a^{2} - b^{2}}} + \frac{7 \, a^{3} b^{3} e^{\left(3 \, d x + 3 \, c\right)} - 4 \, a b^{5} e^{\left(3 \, d x + 3 \, c\right)} + 6 \, a^{4} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 9 \, a^{2} b^{4} e^{\left(2 \, d x + 2 \, c\right)} - 6 \, b^{6} e^{\left(2 \, d x + 2 \, c\right)} + 17 \, a^{3} b^{3} e^{\left(d x + c\right)} - 8 \, a b^{5} e^{\left(d x + c\right)} + 6 \, a^{4} b^{2} - 3 \, a^{2} b^{4}}{{\left(a^{7} - 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} {\left(a e^{\left(2 \, d x + 2 \, c\right)} + 2 \, b e^{\left(d x + c\right)} + a\right)}^{2}} - \frac{d x + c}{a^{3}}}{d}"," ",0,"-((6*a^4*b - 5*a^2*b^3 + 2*b^5)*arctan((a*e^(d*x + c) + b)/sqrt(a^2 - b^2))/((a^7 - 2*a^5*b^2 + a^3*b^4)*sqrt(a^2 - b^2)) + (7*a^3*b^3*e^(3*d*x + 3*c) - 4*a*b^5*e^(3*d*x + 3*c) + 6*a^4*b^2*e^(2*d*x + 2*c) + 9*a^2*b^4*e^(2*d*x + 2*c) - 6*b^6*e^(2*d*x + 2*c) + 17*a^3*b^3*e^(d*x + c) - 8*a*b^5*e^(d*x + c) + 6*a^4*b^2 - 3*a^2*b^4)/((a^7 - 2*a^5*b^2 + a^3*b^4)*(a*e^(2*d*x + 2*c) + 2*b*e^(d*x + c) + a)^2) - (d*x + c)/a^3)/d","A",0
94,0,0,0,0.000000," ","integrate(1/(a+b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \operatorname{sech}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*sech(d*x + c) + a), x)","F",0
95,1,182,0,0.121534," ","integrate(cosh(x)^4/(a+b*sech(x)),x, algorithm=""giac"")","-\frac{2 \, b^{5} \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} a^{5}} + \frac{3 \, a^{3} e^{\left(4 \, x\right)} - 8 \, a^{2} b e^{\left(3 \, x\right)} + 24 \, a^{3} e^{\left(2 \, x\right)} + 24 \, a b^{2} e^{\left(2 \, x\right)} - 72 \, a^{2} b e^{x} - 96 \, b^{3} e^{x}}{192 \, a^{4}} + \frac{{\left(3 \, a^{4} + 4 \, a^{2} b^{2} + 8 \, b^{4}\right)} x}{8 \, a^{5}} + \frac{{\left(8 \, a^{3} b e^{x} - 3 \, a^{4} + 24 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} e^{\left(3 \, x\right)} - 24 \, {\left(a^{4} + a^{2} b^{2}\right)} e^{\left(2 \, x\right)}\right)} e^{\left(-4 \, x\right)}}{192 \, a^{5}}"," ",0,"-2*b^5*arctan((a*e^x + b)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*a^5) + 1/192*(3*a^3*e^(4*x) - 8*a^2*b*e^(3*x) + 24*a^3*e^(2*x) + 24*a*b^2*e^(2*x) - 72*a^2*b*e^x - 96*b^3*e^x)/a^4 + 1/8*(3*a^4 + 4*a^2*b^2 + 8*b^4)*x/a^5 + 1/192*(8*a^3*b*e^x - 3*a^4 + 24*(3*a^3*b + 4*a*b^3)*e^(3*x) - 24*(a^4 + a^2*b^2)*e^(2*x))*e^(-4*x)/a^5","A",0
96,1,133,0,0.140054," ","integrate(cosh(x)^3/(a+b*sech(x)),x, algorithm=""giac"")","\frac{2 \, b^{4} \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} a^{4}} + \frac{a^{2} e^{\left(3 \, x\right)} - 3 \, a b e^{\left(2 \, x\right)} + 9 \, a^{2} e^{x} + 12 \, b^{2} e^{x}}{24 \, a^{3}} - \frac{{\left(a^{2} b + 2 \, b^{3}\right)} x}{2 \, a^{4}} + \frac{{\left(3 \, a^{2} b e^{x} - a^{3} - 3 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} e^{\left(2 \, x\right)}\right)} e^{\left(-3 \, x\right)}}{24 \, a^{4}}"," ",0,"2*b^4*arctan((a*e^x + b)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*a^4) + 1/24*(a^2*e^(3*x) - 3*a*b*e^(2*x) + 9*a^2*e^x + 12*b^2*e^x)/a^3 - 1/2*(a^2*b + 2*b^3)*x/a^4 + 1/24*(3*a^2*b*e^x - a^3 - 3*(3*a^3 + 4*a*b^2)*e^(2*x))*e^(-3*x)/a^4","A",0
97,1,92,0,0.136880," ","integrate(cosh(x)^2/(a+b*sech(x)),x, algorithm=""giac"")","-\frac{2 \, b^{3} \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} a^{3}} + \frac{a e^{\left(2 \, x\right)} - 4 \, b e^{x}}{8 \, a^{2}} + \frac{{\left(a^{2} + 2 \, b^{2}\right)} x}{2 \, a^{3}} + \frac{{\left(4 \, a b e^{x} - a^{2}\right)} e^{\left(-2 \, x\right)}}{8 \, a^{3}}"," ",0,"-2*b^3*arctan((a*e^x + b)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*a^3) + 1/8*(a*e^(2*x) - 4*b*e^x)/a^2 + 1/2*(a^2 + 2*b^2)*x/a^3 + 1/8*(4*a*b*e^x - a^2)*e^(-2*x)/a^3","A",0
98,1,62,0,0.113336," ","integrate(cosh(x)/(a+b*sech(x)),x, algorithm=""giac"")","\frac{2 \, b^{2} \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} a^{2}} - \frac{b x}{a^{2}} - \frac{e^{\left(-x\right)}}{2 \, a} + \frac{e^{x}}{2 \, a}"," ",0,"2*b^2*arctan((a*e^x + b)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*a^2) - b*x/a^2 - 1/2*e^(-x)/a + 1/2*e^x/a","A",0
99,1,32,0,0.129191," ","integrate(sech(x)/(a+b*sech(x)),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}}}"," ",0,"2*arctan((a*e^x + b)/sqrt(a^2 - b^2))/sqrt(a^2 - b^2)","A",0
100,1,45,0,0.119080," ","integrate(sech(x)^2/(a+b*sech(x)),x, algorithm=""giac"")","-\frac{2 \, a \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} b} + \frac{2 \, \arctan\left(e^{x}\right)}{b}"," ",0,"-2*a*arctan((a*e^x + b)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*b) + 2*arctan(e^x)/b","A",0
101,1,61,0,0.120323," ","integrate(sech(x)^3/(a+b*sech(x)),x, algorithm=""giac"")","\frac{2 \, a^{2} \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} b^{2}} - \frac{2 \, a \arctan\left(e^{x}\right)}{b^{2}} - \frac{2}{b {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"2*a^2*arctan((a*e^x + b)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*b^2) - 2*a*arctan(e^x)/b^2 - 2/(b*(e^(2*x) + 1))","A",0
102,1,89,0,0.117235," ","integrate(sech(x)^4/(a+b*sech(x)),x, algorithm=""giac"")","-\frac{2 \, a^{3} \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} b^{3}} + \frac{{\left(2 \, a^{2} + b^{2}\right)} \arctan\left(e^{x}\right)}{b^{3}} + \frac{b e^{\left(3 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} - b e^{x} + 2 \, a}{b^{2} {\left(e^{\left(2 \, x\right)} + 1\right)}^{2}}"," ",0,"-2*a^3*arctan((a*e^x + b)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*b^3) + (2*a^2 + b^2)*arctan(e^x)/b^3 + (b*e^(3*x) + 2*a*e^(2*x) - b*e^x + 2*a)/(b^2*(e^(2*x) + 1)^2)","A",0
103,1,69,0,0.119370," ","integrate(tanh(x)^6/(a+a*sech(x)),x, algorithm=""giac"")","\frac{x}{a} - \frac{3 \, \arctan\left(e^{x}\right)}{4 \, a} + \frac{15 \, e^{\left(7 \, x\right)} + 48 \, e^{\left(6 \, x\right)} - 9 \, e^{\left(5 \, x\right)} + 96 \, e^{\left(4 \, x\right)} + 9 \, e^{\left(3 \, x\right)} + 80 \, e^{\left(2 \, x\right)} - 15 \, e^{x} + 32}{12 \, a {\left(e^{\left(2 \, x\right)} + 1\right)}^{4}}"," ",0,"x/a - 3/4*arctan(e^x)/a + 1/12*(15*e^(7*x) + 48*e^(6*x) - 9*e^(5*x) + 96*e^(4*x) + 9*e^(3*x) + 80*e^(2*x) - 15*e^x + 32)/(a*(e^(2*x) + 1)^4)","A",0
104,1,61,0,0.118337," ","integrate(tanh(x)^5/(a+a*sech(x)),x, algorithm=""giac"")","\frac{\log\left(e^{\left(-x\right)} + e^{x}\right)}{a} - \frac{11 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - 12 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 12 \, e^{\left(-x\right)} - 12 \, e^{x} + 16}{6 \, a {\left(e^{\left(-x\right)} + e^{x}\right)}^{3}}"," ",0,"log(e^(-x) + e^x)/a - 1/6*(11*(e^(-x) + e^x)^3 - 12*(e^(-x) + e^x)^2 - 12*e^(-x) - 12*e^x + 16)/(a*(e^(-x) + e^x)^3)","A",0
105,1,42,0,0.114659," ","integrate(tanh(x)^4/(a+a*sech(x)),x, algorithm=""giac"")","\frac{x}{a} - \frac{\arctan\left(e^{x}\right)}{a} + \frac{e^{\left(3 \, x\right)} + 2 \, e^{\left(2 \, x\right)} - e^{x} + 2}{a {\left(e^{\left(2 \, x\right)} + 1\right)}^{2}}"," ",0,"x/a - arctan(e^x)/a + (e^(3*x) + 2*e^(2*x) - e^x + 2)/(a*(e^(2*x) + 1)^2)","A",0
106,1,35,0,0.123715," ","integrate(tanh(x)^3/(a+a*sech(x)),x, algorithm=""giac"")","\frac{\log\left(e^{\left(-x\right)} + e^{x}\right)}{a} - \frac{e^{\left(-x\right)} + e^{x} - 2}{a {\left(e^{\left(-x\right)} + e^{x}\right)}}"," ",0,"log(e^(-x) + e^x)/a - (e^(-x) + e^x - 2)/(a*(e^(-x) + e^x))","B",0
107,1,14,0,0.129009," ","integrate(tanh(x)^2/(a+a*sech(x)),x, algorithm=""giac"")","\frac{x}{a} - \frac{2 \, \arctan\left(e^{x}\right)}{a}"," ",0,"x/a - 2*arctan(e^x)/a","A",0
108,1,17,0,0.114591," ","integrate(tanh(x)/(a+a*sech(x)),x, algorithm=""giac"")","-\frac{x}{a} + \frac{2 \, \log\left(e^{x} + 1\right)}{a}"," ",0,"-x/a + 2*log(e^x + 1)/a","A",0
109,1,56,0,0.115525," ","integrate(coth(x)/(a+a*sech(x)),x, algorithm=""giac"")","\frac{3 \, \log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{4 \, a} + \frac{\log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{4 \, a} - \frac{3 \, e^{\left(-x\right)} + 3 \, e^{x} + 2}{4 \, a {\left(e^{\left(-x\right)} + e^{x} + 2\right)}}"," ",0,"3/4*log(e^(-x) + e^x + 2)/a + 1/4*log(e^(-x) + e^x - 2)/a - 1/4*(3*e^(-x) + 3*e^x + 2)/(a*(e^(-x) + e^x + 2))","A",0
110,1,40,0,0.129649," ","integrate(coth(x)^2/(a+a*sech(x)),x, algorithm=""giac"")","\frac{x}{a} - \frac{1}{2 \, a {\left(e^{x} - 1\right)}} + \frac{15 \, e^{\left(2 \, x\right)} + 24 \, e^{x} + 13}{6 \, a {\left(e^{x} + 1\right)}^{3}}"," ",0,"x/a - 1/2/(a*(e^x - 1)) + 1/6*(15*e^(2*x) + 24*e^x + 13)/(a*(e^x + 1)^3)","A",0
111,1,94,0,0.132076," ","integrate(coth(x)^3/(a+a*sech(x)),x, algorithm=""giac"")","\frac{11 \, \log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{16 \, a} + \frac{5 \, \log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{16 \, a} - \frac{5 \, e^{\left(-x\right)} + 5 \, e^{x} - 6}{16 \, a {\left(e^{\left(-x\right)} + e^{x} - 2\right)}} - \frac{33 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 84 \, e^{\left(-x\right)} + 84 \, e^{x} + 52}{32 \, a {\left(e^{\left(-x\right)} + e^{x} + 2\right)}^{2}}"," ",0,"11/16*log(e^(-x) + e^x + 2)/a + 5/16*log(e^(-x) + e^x - 2)/a - 1/16*(5*e^(-x) + 5*e^x - 6)/(a*(e^(-x) + e^x - 2)) - 1/32*(33*(e^(-x) + e^x)^2 + 84*e^(-x) + 84*e^x + 52)/(a*(e^(-x) + e^x + 2)^2)","A",0
112,1,64,0,0.134727," ","integrate(coth(x)^4/(a+a*sech(x)),x, algorithm=""giac"")","\frac{x}{a} - \frac{21 \, e^{\left(2 \, x\right)} - 36 \, e^{x} + 19}{24 \, a {\left(e^{x} - 1\right)}^{3}} + \frac{115 \, e^{\left(4 \, x\right)} + 380 \, e^{\left(3 \, x\right)} + 530 \, e^{\left(2 \, x\right)} + 340 \, e^{x} + 91}{40 \, a {\left(e^{x} + 1\right)}^{5}}"," ",0,"x/a - 1/24*(21*e^(2*x) - 36*e^x + 19)/(a*(e^x - 1)^3) + 1/40*(115*e^(4*x) + 380*e^(3*x) + 530*e^(2*x) + 340*e^x + 91)/(a*(e^x + 1)^5)","A",0
113,1,267,0,0.138232," ","integrate(tanh(x)^7/(a+b*sech(x)),x, algorithm=""giac"")","\frac{{\left(a^{5} - 3 \, a^{3} b^{2} + 3 \, a b^{4}\right)} \log\left(e^{\left(-x\right)} + e^{x}\right)}{b^{6}} - \frac{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \log\left({\left| a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b \right|}\right)}{a b^{6}} - \frac{137 \, a^{5} {\left(e^{\left(-x\right)} + e^{x}\right)}^{5} - 411 \, a^{3} b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}^{5} + 411 \, a b^{4} {\left(e^{\left(-x\right)} + e^{x}\right)}^{5} - 120 \, a^{4} b {\left(e^{\left(-x\right)} + e^{x}\right)}^{4} + 360 \, a^{2} b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{4} - 360 \, b^{5} {\left(e^{\left(-x\right)} + e^{x}\right)}^{4} + 120 \, a^{3} b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - 360 \, a b^{4} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - 160 \, a^{2} b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 480 \, b^{5} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 240 \, a b^{4} {\left(e^{\left(-x\right)} + e^{x}\right)} - 384 \, b^{5}}{60 \, b^{6} {\left(e^{\left(-x\right)} + e^{x}\right)}^{5}}"," ",0,"(a^5 - 3*a^3*b^2 + 3*a*b^4)*log(e^(-x) + e^x)/b^6 - (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*log(abs(a*(e^(-x) + e^x) + 2*b))/(a*b^6) - 1/60*(137*a^5*(e^(-x) + e^x)^5 - 411*a^3*b^2*(e^(-x) + e^x)^5 + 411*a*b^4*(e^(-x) + e^x)^5 - 120*a^4*b*(e^(-x) + e^x)^4 + 360*a^2*b^3*(e^(-x) + e^x)^4 - 360*b^5*(e^(-x) + e^x)^4 + 120*a^3*b^2*(e^(-x) + e^x)^3 - 360*a*b^4*(e^(-x) + e^x)^3 - 160*a^2*b^3*(e^(-x) + e^x)^2 + 480*b^5*(e^(-x) + e^x)^2 + 240*a*b^4*(e^(-x) + e^x) - 384*b^5)/(b^6*(e^(-x) + e^x)^5)","B",0
114,1,250,0,0.141833," ","integrate(tanh(x)^6/(a+b*sech(x)),x, algorithm=""giac"")","\frac{x}{a} - \frac{{\left(8 \, a^{4} - 20 \, a^{2} b^{2} + 15 \, b^{4}\right)} \arctan\left(e^{x}\right)}{4 \, b^{5}} + \frac{2 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} a b^{5}} - \frac{12 \, a^{2} b e^{\left(7 \, x\right)} - 27 \, b^{3} e^{\left(7 \, x\right)} + 24 \, a^{3} e^{\left(6 \, x\right)} - 72 \, a b^{2} e^{\left(6 \, x\right)} + 12 \, a^{2} b e^{\left(5 \, x\right)} - 3 \, b^{3} e^{\left(5 \, x\right)} + 72 \, a^{3} e^{\left(4 \, x\right)} - 168 \, a b^{2} e^{\left(4 \, x\right)} - 12 \, a^{2} b e^{\left(3 \, x\right)} + 3 \, b^{3} e^{\left(3 \, x\right)} + 72 \, a^{3} e^{\left(2 \, x\right)} - 152 \, a b^{2} e^{\left(2 \, x\right)} - 12 \, a^{2} b e^{x} + 27 \, b^{3} e^{x} + 24 \, a^{3} - 56 \, a b^{2}}{12 \, b^{4} {\left(e^{\left(2 \, x\right)} + 1\right)}^{4}}"," ",0,"x/a - 1/4*(8*a^4 - 20*a^2*b^2 + 15*b^4)*arctan(e^x)/b^5 + 2*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*arctan((a*e^x + b)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*a*b^5) - 1/12*(12*a^2*b*e^(7*x) - 27*b^3*e^(7*x) + 24*a^3*e^(6*x) - 72*a*b^2*e^(6*x) + 12*a^2*b*e^(5*x) - 3*b^3*e^(5*x) + 72*a^3*e^(4*x) - 168*a*b^2*e^(4*x) - 12*a^2*b*e^(3*x) + 3*b^3*e^(3*x) + 72*a^3*e^(2*x) - 152*a*b^2*e^(2*x) - 12*a^2*b*e^x + 27*b^3*e^x + 24*a^3 - 56*a*b^2)/(b^4*(e^(2*x) + 1)^4)","A",0
115,1,152,0,0.135710," ","integrate(tanh(x)^5/(a+b*sech(x)),x, algorithm=""giac"")","-\frac{{\left(a^{3} - 2 \, a b^{2}\right)} \log\left(e^{\left(-x\right)} + e^{x}\right)}{b^{4}} + \frac{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \log\left({\left| a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b \right|}\right)}{a b^{4}} + \frac{11 \, a^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - 22 \, a b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - 12 \, a^{2} b {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 24 \, b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 12 \, a b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)} - 16 \, b^{3}}{6 \, b^{4} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3}}"," ",0,"-(a^3 - 2*a*b^2)*log(e^(-x) + e^x)/b^4 + (a^4 - 2*a^2*b^2 + b^4)*log(abs(a*(e^(-x) + e^x) + 2*b))/(a*b^4) + 1/6*(11*a^3*(e^(-x) + e^x)^3 - 22*a*b^2*(e^(-x) + e^x)^3 - 12*a^2*b*(e^(-x) + e^x)^2 + 24*b^3*(e^(-x) + e^x)^2 + 12*a*b^2*(e^(-x) + e^x) - 16*b^3)/(b^4*(e^(-x) + e^x)^3)","B",0
116,1,111,0,0.141360," ","integrate(tanh(x)^4/(a+b*sech(x)),x, algorithm=""giac"")","\frac{x}{a} + \frac{{\left(2 \, a^{2} - 3 \, b^{2}\right)} \arctan\left(e^{x}\right)}{b^{3}} - \frac{2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} a b^{3}} + \frac{b e^{\left(3 \, x\right)} + 2 \, a e^{\left(2 \, x\right)} - b e^{x} + 2 \, a}{b^{2} {\left(e^{\left(2 \, x\right)} + 1\right)}^{2}}"," ",0,"x/a + (2*a^2 - 3*b^2)*arctan(e^x)/b^3 - 2*(a^4 - 2*a^2*b^2 + b^4)*arctan((a*e^x + b)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*a*b^3) + (b*e^(3*x) + 2*a*e^(2*x) - b*e^x + 2*a)/(b^2*(e^(2*x) + 1)^2)","A",0
117,1,73,0,0.115489," ","integrate(tanh(x)^3/(a+b*sech(x)),x, algorithm=""giac"")","\frac{a \log\left(e^{\left(-x\right)} + e^{x}\right)}{b^{2}} - \frac{{\left(a^{2} - b^{2}\right)} \log\left({\left| a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b \right|}\right)}{a b^{2}} - \frac{a {\left(e^{\left(-x\right)} + e^{x}\right)} - 2 \, b}{b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}}"," ",0,"a*log(e^(-x) + e^x)/b^2 - (a^2 - b^2)*log(abs(a*(e^(-x) + e^x) + 2*b))/(a*b^2) - (a*(e^(-x) + e^x) - 2*b)/(b^2*(e^(-x) + e^x))","B",0
118,1,52,0,0.145642," ","integrate(tanh(x)^2/(a+b*sech(x)),x, algorithm=""giac"")","\frac{x}{a} - \frac{2 \, \arctan\left(e^{x}\right)}{b} + \frac{2 \, \sqrt{a^{2} - b^{2}} \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{a b}"," ",0,"x/a - 2*arctan(e^x)/b + 2*sqrt(a^2 - b^2)*arctan((a*e^x + b)/sqrt(a^2 - b^2))/(a*b)","A",0
119,1,19,0,0.129570," ","integrate(tanh(x)/(a+b*sech(x)),x, algorithm=""giac"")","\frac{\log\left({\left| a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b \right|}\right)}{a}"," ",0,"log(abs(a*(e^(-x) + e^x) + 2*b))/a","A",0
120,1,67,0,0.119630," ","integrate(coth(x)/(a+b*sech(x)),x, algorithm=""giac"")","-\frac{b^{2} \log\left({\left| a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b \right|}\right)}{a^{3} - a b^{2}} + \frac{\log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{2 \, {\left(a - b\right)}} + \frac{\log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{2 \, {\left(a + b\right)}}"," ",0,"-b^2*log(abs(a*(e^(-x) + e^x) + 2*b))/(a^3 - a*b^2) + 1/2*log(e^(-x) + e^x + 2)/(a - b) + 1/2*log(e^(-x) + e^x - 2)/(a + b)","A",0
121,1,82,0,0.132160," ","integrate(coth(x)^2/(a+b*sech(x)),x, algorithm=""giac"")","\frac{2 \, b^{3} \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{3} - a b^{2}\right)} \sqrt{a^{2} - b^{2}}} + \frac{x}{a} + \frac{2 \, {\left(b e^{x} - a\right)}}{{\left(a^{2} - b^{2}\right)} {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"2*b^3*arctan((a*e^x + b)/sqrt(a^2 - b^2))/((a^3 - a*b^2)*sqrt(a^2 - b^2)) + x/a + 2*(b*e^x - a)/((a^2 - b^2)*(e^(2*x) - 1))","A",0
122,1,193,0,0.128629," ","integrate(coth(x)^3/(a+b*sech(x)),x, algorithm=""giac"")","\frac{b^{4} \log\left({\left| a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b \right|}\right)}{a^{5} - 2 \, a^{3} b^{2} + a b^{4}} + \frac{{\left(2 \, a - 3 \, b\right)} \log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{4 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}} + \frac{{\left(2 \, a + 3 \, b\right)} \log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{4 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} - \frac{a^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 2 \, a b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 2 \, a^{2} b {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)} + 4 \, a b^{2}}{2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left({\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 4\right)}}"," ",0,"b^4*log(abs(a*(e^(-x) + e^x) + 2*b))/(a^5 - 2*a^3*b^2 + a*b^4) + 1/4*(2*a - 3*b)*log(e^(-x) + e^x + 2)/(a^2 - 2*a*b + b^2) + 1/4*(2*a + 3*b)*log(e^(-x) + e^x - 2)/(a^2 + 2*a*b + b^2) - 1/2*(a^3*(e^(-x) + e^x)^2 - 2*a*b^2*(e^(-x) + e^x)^2 - 2*a^2*b*(e^(-x) + e^x) + 2*b^3*(e^(-x) + e^x) + 4*a*b^2)/((a^4 - 2*a^2*b^2 + b^4)*((e^(-x) + e^x)^2 - 4))","A",0
123,1,190,0,0.141603," ","integrate(coth(x)^4/(a+b*sech(x)),x, algorithm=""giac"")","-\frac{2 \, b^{5} \arctan\left(\frac{a e^{x} + b}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} \sqrt{a^{2} - b^{2}}} + \frac{x}{a} + \frac{2 \, {\left(3 \, a^{2} b e^{\left(5 \, x\right)} - 6 \, b^{3} e^{\left(5 \, x\right)} - 6 \, a^{3} e^{\left(4 \, x\right)} + 9 \, a b^{2} e^{\left(4 \, x\right)} - 2 \, a^{2} b e^{\left(3 \, x\right)} + 8 \, b^{3} e^{\left(3 \, x\right)} + 6 \, a^{3} e^{\left(2 \, x\right)} - 12 \, a b^{2} e^{\left(2 \, x\right)} + 3 \, a^{2} b e^{x} - 6 \, b^{3} e^{x} - 4 \, a^{3} + 7 \, a b^{2}\right)}}{3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"-2*b^5*arctan((a*e^x + b)/sqrt(a^2 - b^2))/((a^5 - 2*a^3*b^2 + a*b^4)*sqrt(a^2 - b^2)) + x/a + 2/3*(3*a^2*b*e^(5*x) - 6*b^3*e^(5*x) - 6*a^3*e^(4*x) + 9*a*b^2*e^(4*x) - 2*a^2*b*e^(3*x) + 8*b^3*e^(3*x) + 6*a^3*e^(2*x) - 12*a*b^2*e^(2*x) + 3*a^2*b*e^x - 6*b^3*e^x - 4*a^3 + 7*a*b^2)/((a^4 - 2*a^2*b^2 + b^4)*(e^(2*x) - 1)^3)","A",0
124,1,380,0,0.142815," ","integrate(coth(x)^5/(a+b*sech(x)),x, algorithm=""giac"")","-\frac{b^{6} \log\left({\left| a {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b \right|}\right)}{a^{7} - 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} - a b^{6}} + \frac{{\left(8 \, a^{2} - 21 \, a b + 15 \, b^{2}\right)} \log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{16 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)}} + \frac{{\left(8 \, a^{2} + 21 \, a b + 15 \, b^{2}\right)} \log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{16 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)}} - \frac{3 \, a^{5} {\left(e^{\left(-x\right)} + e^{x}\right)}^{4} - 9 \, a^{3} b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}^{4} + 9 \, a b^{4} {\left(e^{\left(-x\right)} + e^{x}\right)}^{4} - 5 \, a^{4} b {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} + 14 \, a^{2} b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - 9 \, b^{5} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - 8 \, a^{5} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 32 \, a^{3} b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 48 \, a b^{4} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 12 \, a^{4} b {\left(e^{\left(-x\right)} + e^{x}\right)} - 40 \, a^{2} b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)} + 28 \, b^{5} {\left(e^{\left(-x\right)} + e^{x}\right)} - 16 \, a^{3} b^{2} + 64 \, a b^{4}}{4 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} {\left({\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 4\right)}^{2}}"," ",0,"-b^6*log(abs(a*(e^(-x) + e^x) + 2*b))/(a^7 - 3*a^5*b^2 + 3*a^3*b^4 - a*b^6) + 1/16*(8*a^2 - 21*a*b + 15*b^2)*log(e^(-x) + e^x + 2)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + 1/16*(8*a^2 + 21*a*b + 15*b^2)*log(e^(-x) + e^x - 2)/(a^3 + 3*a^2*b + 3*a*b^2 + b^3) - 1/4*(3*a^5*(e^(-x) + e^x)^4 - 9*a^3*b^2*(e^(-x) + e^x)^4 + 9*a*b^4*(e^(-x) + e^x)^4 - 5*a^4*b*(e^(-x) + e^x)^3 + 14*a^2*b^3*(e^(-x) + e^x)^3 - 9*b^5*(e^(-x) + e^x)^3 - 8*a^5*(e^(-x) + e^x)^2 + 32*a^3*b^2*(e^(-x) + e^x)^2 - 48*a*b^4*(e^(-x) + e^x)^2 + 12*a^4*b*(e^(-x) + e^x) - 40*a^2*b^3*(e^(-x) + e^x) + 28*b^5*(e^(-x) + e^x) - 16*a^3*b^2 + 64*a*b^4)/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*((e^(-x) + e^x)^2 - 4)^2)","B",0
125,0,0,0,0.000000," ","integrate((a+b*sech(d*x+c))^(1/2)*tanh(d*x+c)^5,x, algorithm=""giac"")","\int \sqrt{b \operatorname{sech}\left(d x + c\right) + a} \tanh\left(d x + c\right)^{5}\,{d x}"," ",0,"integrate(sqrt(b*sech(d*x + c) + a)*tanh(d*x + c)^5, x)","F",0
126,0,0,0,0.000000," ","integrate((a+b*sech(d*x+c))^(1/2)*tanh(d*x+c)^3,x, algorithm=""giac"")","\int \sqrt{b \operatorname{sech}\left(d x + c\right) + a} \tanh\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate(sqrt(b*sech(d*x + c) + a)*tanh(d*x + c)^3, x)","F",0
127,0,0,0,0.000000," ","integrate((a+b*sech(d*x+c))^(1/2)*tanh(d*x+c),x, algorithm=""giac"")","\int \sqrt{b \operatorname{sech}\left(d x + c\right) + a} \tanh\left(d x + c\right)\,{d x}"," ",0,"integrate(sqrt(b*sech(d*x + c) + a)*tanh(d*x + c), x)","F",0
128,0,0,0,0.000000," ","integrate(coth(d*x+c)*(a+b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \operatorname{sech}\left(d x + c\right) + a} \coth\left(d x + c\right)\,{d x}"," ",0,"integrate(sqrt(b*sech(d*x + c) + a)*coth(d*x + c), x)","F",0
129,0,0,0,0.000000," ","integrate(coth(d*x+c)^3*(a+b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \operatorname{sech}\left(d x + c\right) + a} \coth\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate(sqrt(b*sech(d*x + c) + a)*coth(d*x + c)^3, x)","F",0
130,0,0,0,0.000000," ","integrate((a+b*sech(d*x+c))^(1/2)*tanh(d*x+c)^2,x, algorithm=""giac"")","\int \sqrt{b \operatorname{sech}\left(d x + c\right) + a} \tanh\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sech(d*x + c) + a)*tanh(d*x + c)^2, x)","F",0
131,0,0,0,0.000000," ","integrate((a+b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \operatorname{sech}\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*sech(d*x + c) + a), x)","F",0
132,0,0,0,0.000000," ","integrate(coth(d*x+c)^2*(a+b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \operatorname{sech}\left(d x + c\right) + a} \coth\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sech(d*x + c) + a)*coth(d*x + c)^2, x)","F",0
133,0,0,0,0.000000," ","integrate(tanh(d*x+c)^5/(a+b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\tanh\left(d x + c\right)^{5}}{\sqrt{b \operatorname{sech}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(tanh(d*x + c)^5/sqrt(b*sech(d*x + c) + a), x)","F",0
134,0,0,0,0.000000," ","integrate(tanh(d*x+c)^3/(a+b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\tanh\left(d x + c\right)^{3}}{\sqrt{b \operatorname{sech}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(tanh(d*x + c)^3/sqrt(b*sech(d*x + c) + a), x)","F",0
135,0,0,0,0.000000," ","integrate(tanh(d*x+c)/(a+b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\tanh\left(d x + c\right)}{\sqrt{b \operatorname{sech}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(tanh(d*x + c)/sqrt(b*sech(d*x + c) + a), x)","F",0
136,0,0,0,0.000000," ","integrate(coth(d*x+c)/(a+b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\coth\left(d x + c\right)}{\sqrt{b \operatorname{sech}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(coth(d*x + c)/sqrt(b*sech(d*x + c) + a), x)","F",0
137,0,0,0,0.000000," ","integrate(coth(d*x+c)^3/(a+b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\coth\left(d x + c\right)^{3}}{\sqrt{b \operatorname{sech}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(coth(d*x + c)^3/sqrt(b*sech(d*x + c) + a), x)","F",0
138,0,0,0,0.000000," ","integrate(tanh(d*x+c)^4/(a+b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\tanh\left(d x + c\right)^{4}}{\sqrt{b \operatorname{sech}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(tanh(d*x + c)^4/sqrt(b*sech(d*x + c) + a), x)","F",0
139,0,0,0,0.000000," ","integrate(tanh(d*x+c)^2/(a+b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\tanh\left(d x + c\right)^{2}}{\sqrt{b \operatorname{sech}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(tanh(d*x + c)^2/sqrt(b*sech(d*x + c) + a), x)","F",0
140,0,0,0,0.000000," ","integrate(1/(a+b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \operatorname{sech}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*sech(d*x + c) + a), x)","F",0
141,0,0,0,0.000000," ","integrate(coth(d*x+c)^2/(a+b*sech(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\coth\left(d x + c\right)^{2}}{\sqrt{b \operatorname{sech}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(coth(d*x + c)^2/sqrt(b*sech(d*x + c) + a), x)","F",0
142,0,0,0,0.000000," ","integrate(tanh(d*x+c)^5/(a+b*sech(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\tanh\left(d x + c\right)^{5}}{{\left(b \operatorname{sech}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tanh(d*x + c)^5/(b*sech(d*x + c) + a)^(3/2), x)","F",0
143,0,0,0,0.000000," ","integrate(tanh(d*x+c)^3/(a+b*sech(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\tanh\left(d x + c\right)^{3}}{{\left(b \operatorname{sech}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tanh(d*x + c)^3/(b*sech(d*x + c) + a)^(3/2), x)","F",0
144,0,0,0,0.000000," ","integrate(tanh(d*x+c)/(a+b*sech(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\tanh\left(d x + c\right)}{{\left(b \operatorname{sech}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tanh(d*x + c)/(b*sech(d*x + c) + a)^(3/2), x)","F",0
145,0,0,0,0.000000," ","integrate(coth(d*x+c)/(a+b*sech(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\coth\left(d x + c\right)}{{\left(b \operatorname{sech}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(coth(d*x + c)/(b*sech(d*x + c) + a)^(3/2), x)","F",0
146,0,0,0,0.000000," ","integrate(coth(d*x+c)^3/(a+b*sech(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\coth\left(d x + c\right)^{3}}{{\left(b \operatorname{sech}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(coth(d*x + c)^3/(b*sech(d*x + c) + a)^(3/2), x)","F",0
147,0,0,0,0.000000," ","integrate(tanh(d*x+c)^4/(a+b*sech(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\tanh\left(d x + c\right)^{4}}{{\left(b \operatorname{sech}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tanh(d*x + c)^4/(b*sech(d*x + c) + a)^(3/2), x)","F",0
148,0,0,0,0.000000," ","integrate(tanh(d*x+c)^2/(a+b*sech(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\tanh\left(d x + c\right)^{2}}{{\left(b \operatorname{sech}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(tanh(d*x + c)^2/(b*sech(d*x + c) + a)^(3/2), x)","F",0
149,0,0,0,0.000000," ","integrate(1/(a+b*sech(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{sech}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sech(d*x + c) + a)^(-3/2), x)","F",0
150,0,0,0,0.000000," ","integrate(coth(d*x+c)^2/(a+b*sech(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\coth\left(d x + c\right)^{2}}{{\left(b \operatorname{sech}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(coth(d*x + c)^2/(b*sech(d*x + c) + a)^(3/2), x)","F",0
151,1,64,0,0.135464," ","integrate(exp(c*(b*x+a))*(sech(b*c*x+a*c)^2)^(7/2),x, algorithm=""giac"")","-\frac{16 \, {\left(20 \, e^{\left(6 \, b c x + 6 \, a c\right)} + 15 \, e^{\left(4 \, b c x + 4 \, a c\right)} + 6 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}}{15 \, b c {\left(e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}^{6}}"," ",0,"-16/15*(20*e^(6*b*c*x + 6*a*c) + 15*e^(4*b*c*x + 4*a*c) + 6*e^(2*b*c*x + 2*a*c) + 1)/(b*c*(e^(2*b*c*x + 2*a*c) + 1)^6)","A",0
152,1,51,0,0.134142," ","integrate(exp(c*(b*x+a))*(sech(b*c*x+a*c)^2)^(5/2),x, algorithm=""giac"")","-\frac{4 \, {\left(6 \, e^{\left(4 \, b c x + 4 \, a c\right)} + 4 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}}{3 \, b c {\left(e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}^{4}}"," ",0,"-4/3*(6*e^(4*b*c*x + 4*a*c) + 4*e^(2*b*c*x + 2*a*c) + 1)/(b*c*(e^(2*b*c*x + 2*a*c) + 1)^4)","A",0
153,1,38,0,0.132571," ","integrate(exp(c*(b*x+a))*(sech(b*c*x+a*c)^2)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(2 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}}{b c {\left(e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}^{2}}"," ",0,"-2*(2*e^(2*b*c*x + 2*a*c) + 1)/(b*c*(e^(2*b*c*x + 2*a*c) + 1)^2)","A",0
154,1,20,0,0.130778," ","integrate(exp(c*(b*x+a))*(sech(b*c*x+a*c)^2)^(1/2),x, algorithm=""giac"")","\frac{\log\left(e^{\left(2 \, b c x\right)} + e^{\left(-2 \, a c\right)}\right)}{b c}"," ",0,"log(e^(2*b*c*x) + e^(-2*a*c))/(b*c)","A",0
155,1,33,0,0.134987," ","integrate(exp(c*(b*x+a))/(sech(b*c*x+a*c)^2)^(1/2),x, algorithm=""giac"")","\frac{{\left(2 \, b c x e^{\left(-a c\right)} + e^{\left(2 \, b c x + a c\right)}\right)} e^{\left(a c\right)}}{4 \, b c}"," ",0,"1/4*(2*b*c*x*e^(-a*c) + e^(2*b*c*x + a*c))*e^(a*c)/(b*c)","A",0
156,1,82,0,0.113158," ","integrate(exp(c*(b*x+a))/(sech(b*c*x+a*c)^2)^(3/2),x, algorithm=""giac"")","\frac{{\left(12 \, b c x e^{\left(-a c\right)} - 2 \, {\left(3 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)} e^{\left(-2 \, b c x - 3 \, a c\right)} + {\left(e^{\left(4 \, b c x + 9 \, a c\right)} + 6 \, e^{\left(2 \, b c x + 7 \, a c\right)}\right)} e^{\left(-6 \, a c\right)}\right)} e^{\left(a c\right)}}{32 \, b c}"," ",0,"1/32*(12*b*c*x*e^(-a*c) - 2*(3*e^(2*b*c*x + 2*a*c) + 1)*e^(-2*b*c*x - 3*a*c) + (e^(4*b*c*x + 9*a*c) + 6*e^(2*b*c*x + 7*a*c))*e^(-6*a*c))*e^(a*c)/(b*c)","A",0
157,1,110,0,0.121430," ","integrate(exp(c*(b*x+a))/(sech(b*c*x+a*c)^2)^(5/2),x, algorithm=""giac"")","\frac{{\left(120 \, b c x e^{\left(-a c\right)} - 3 \, {\left(30 \, e^{\left(4 \, b c x + 4 \, a c\right)} + 10 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)} e^{\left(-4 \, b c x - 5 \, a c\right)} + {\left(2 \, e^{\left(6 \, b c x + 20 \, a c\right)} + 15 \, e^{\left(4 \, b c x + 18 \, a c\right)} + 60 \, e^{\left(2 \, b c x + 16 \, a c\right)}\right)} e^{\left(-15 \, a c\right)}\right)} e^{\left(a c\right)}}{384 \, b c}"," ",0,"1/384*(120*b*c*x*e^(-a*c) - 3*(30*e^(4*b*c*x + 4*a*c) + 10*e^(2*b*c*x + 2*a*c) + 1)*e^(-4*b*c*x - 5*a*c) + (2*e^(6*b*c*x + 20*a*c) + 15*e^(4*b*c*x + 18*a*c) + 60*e^(2*b*c*x + 16*a*c))*e^(-15*a*c))*e^(a*c)/(b*c)","A",0
158,0,0,0,0.000000," ","integrate(x^5/sech(2*log(c*x))^(1/2),x, algorithm=""giac"")","\int \frac{x^{5}}{\sqrt{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)}}\,{d x}"," ",0,"integrate(x^5/sqrt(sech(2*log(c*x))), x)","F",0
159,0,0,0,0.000000," ","integrate(x^4/sech(2*log(c*x))^(1/2),x, algorithm=""giac"")","\int \frac{x^{4}}{\sqrt{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)}}\,{d x}"," ",0,"integrate(x^4/sqrt(sech(2*log(c*x))), x)","F",0
160,0,0,0,0.000000," ","integrate(x^3/sech(2*log(c*x))^(1/2),x, algorithm=""giac"")","\int \frac{x^{3}}{\sqrt{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)}}\,{d x}"," ",0,"integrate(x^3/sqrt(sech(2*log(c*x))), x)","F",0
161,0,0,0,0.000000," ","integrate(x^2/sech(2*log(c*x))^(1/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\sqrt{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)}}\,{d x}"," ",0,"integrate(x^2/sqrt(sech(2*log(c*x))), x)","F",0
162,0,0,0,0.000000," ","integrate(x/sech(2*log(c*x))^(1/2),x, algorithm=""giac"")","\int \frac{x}{\sqrt{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)}}\,{d x}"," ",0,"integrate(x/sqrt(sech(2*log(c*x))), x)","F",0
163,-1,0,0,0.000000," ","integrate(1/sech(2*log(c*x))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
164,-1,0,0,0.000000," ","integrate(sech(2*log(c*x))^(1/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
165,-1,0,0,0.000000," ","integrate(sech(2*log(c*x))^(1/2)/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
166,-1,0,0,0.000000," ","integrate(sech(2*log(c*x))^(1/2)/x^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
167,-1,0,0,0.000000," ","integrate(sech(2*log(c*x))^(1/2)/x^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
168,-1,0,0,0.000000," ","integrate(sech(2*log(c*x))^(1/2)/x^5,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
169,-2,0,0,0.000000," ","integrate(x^8/sech(2*log(c*x))^(3/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Unable to cancel step at 0 of 1/2/c^6*c^4*(1/2*ln(sqrt(c^4*t_nostep^4+1)-1)-1/2*ln(sqrt(c^4*t_nostep^4+1)+1)+sqrt(c^4*t_nostep^4+1))-1/2/c^6*c^4*(-1/2*ln(sqrt(c^4*t_nostep^4+1)-1)+1/2*ln(sqrt(c^4*t_nostep^4+1)+1)-sqrt(c^4*t_nostep^4+1))Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Unable to cancel step at 0 of 1/2/c^6*c^4*(1/2*ln(sqrt(c^4*t_nostep^4+1)-1)-1/2*ln(sqrt(c^4*t_nostep^4+1)+1)+sqrt(c^4*t_nostep^4+1))-1/2/c^6*c^4*(-1/2*ln(sqrt(c^4*t_nostep^4+1)-1)+1/2*ln(sqrt(c^4*t_nostep^4+1)+1)-sqrt(c^4*t_nostep^4+1))Unable to divide, perhaps due to rounding error%%%{1,[10,4,1,0]%%%}+%%%{1,[6,0,1,0]%%%} / %%%{1,[0,2,0,1]%%%} Error: Bad Argument Value","F(-2)",0
170,0,0,0,0.000000," ","integrate(x^7/sech(2*log(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{x^{7}}{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^7/sech(2*log(c*x))^(3/2), x)","F",0
171,-2,0,0,0.000000," ","integrate(x^6/sech(2*log(c*x))^(3/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Unable to cancel step at 0 of 1/2/c^6*c^4*(1/2*ln(sqrt(c^4*t_nostep^4+1)-1)-1/2*ln(sqrt(c^4*t_nostep^4+1)+1)+sqrt(c^4*t_nostep^4+1))-1/2/c^6*c^4*(-1/2*ln(sqrt(c^4*t_nostep^4+1)-1)+1/2*ln(sqrt(c^4*t_nostep^4+1)+1)-sqrt(c^4*t_nostep^4+1))Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Unable to cancel step at 0 of 1/2/c^6*c^4*(1/2*ln(sqrt(c^4*t_nostep^4+1)-1)-1/2*ln(sqrt(c^4*t_nostep^4+1)+1)+sqrt(c^4*t_nostep^4+1))-1/2/c^6*c^4*(-1/2*ln(sqrt(c^4*t_nostep^4+1)-1)+1/2*ln(sqrt(c^4*t_nostep^4+1)+1)-sqrt(c^4*t_nostep^4+1))Unable to divide, perhaps due to rounding error%%%{1,[8,4,1,0]%%%}+%%%{1,[4,0,1,0]%%%} / %%%{1,[0,2,0,1]%%%} Error: Bad Argument Value","F(-2)",0
172,0,0,0,0.000000," ","integrate(x^5/sech(2*log(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{x^{5}}{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^5/sech(2*log(c*x))^(3/2), x)","F",0
173,-2,0,0,0.000000," ","integrate(x^4/sech(2*log(c*x))^(3/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Unable to cancel step at 0 of 1/2/c^6*c^4*(1/2*ln(sqrt(c^4*t_nostep^4+1)-1)-1/2*ln(sqrt(c^4*t_nostep^4+1)+1)+sqrt(c^4*t_nostep^4+1))-1/2/c^6*c^4*(-1/2*ln(sqrt(c^4*t_nostep^4+1)-1)+1/2*ln(sqrt(c^4*t_nostep^4+1)+1)-sqrt(c^4*t_nostep^4+1))Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Unable to cancel step at 0 of 1/2/c^6*c^4*(1/2*ln(sqrt(c^4*t_nostep^4+1)-1)-1/2*ln(sqrt(c^4*t_nostep^4+1)+1)+sqrt(c^4*t_nostep^4+1))-1/2/c^6*c^4*(-1/2*ln(sqrt(c^4*t_nostep^4+1)-1)+1/2*ln(sqrt(c^4*t_nostep^4+1)+1)-sqrt(c^4*t_nostep^4+1))Unable to divide, perhaps due to rounding error%%%{1,[6,4,1,0]%%%}+%%%{1,[2,0,1,0]%%%} / %%%{1,[0,2,0,1]%%%} Error: Bad Argument Value","F(-2)",0
174,0,0,0,0.000000," ","integrate(x^3/sech(2*log(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{x^{3}}{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^3/sech(2*log(c*x))^(3/2), x)","F",0
175,-2,0,0,0.000000," ","integrate(x^2/sech(2*log(c*x))^(3/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Unable to cancel step at 0 of 1/2/c^6*c^4*(1/2*ln(sqrt(c^4*t_nostep^4+1)-1)-1/2*ln(sqrt(c^4*t_nostep^4+1)+1)+sqrt(c^4*t_nostep^4+1))-1/2/c^6*c^4*(-1/2*ln(sqrt(c^4*t_nostep^4+1)-1)+1/2*ln(sqrt(c^4*t_nostep^4+1)+1)-sqrt(c^4*t_nostep^4+1))Unable to divide, perhaps due to rounding error%%%{1,[4,4,1,0]%%%}+%%%{1,[0,0,1,0]%%%} / %%%{1,[0,2,0,1]%%%} Error: Bad Argument Value","F(-2)",0
176,0,0,0,0.000000," ","integrate(x/sech(2*log(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{x}{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/sech(2*log(c*x))^(3/2), x)","F",0
177,0,0,0,0.000000," ","integrate(1/sech(2*log(c*x))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sech(2*log(c*x))^(-3/2), x)","F",0
178,-1,0,0,0.000000," ","integrate(sech(2*log(c*x))^(3/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
179,-1,0,0,0.000000," ","integrate(sech(2*log(c*x))^(3/2)/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
180,-1,0,0,0.000000," ","integrate(sech(2*log(c*x))^(3/2)/x^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
181,-1,0,0,0.000000," ","integrate(sech(2*log(c*x))^(3/2)/x^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
182,0,0,0,0.000000," ","integrate(sech(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \operatorname{sech}\left(b \log\left(c x^{n}\right) + a\right)\,{d x}"," ",0,"integrate(sech(b*log(c*x^n) + a), x)","F",0
183,0,0,0,0.000000," ","integrate(sech(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int \operatorname{sech}\left(b \log\left(c x^{n}\right) + a\right)^{2}\,{d x}"," ",0,"integrate(sech(b*log(c*x^n) + a)^2, x)","F",0
184,0,0,0,0.000000," ","integrate(sech(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\int \operatorname{sech}\left(b \log\left(c x^{n}\right) + a\right)^{3}\,{d x}"," ",0,"integrate(sech(b*log(c*x^n) + a)^3, x)","F",0
185,0,0,0,0.000000," ","integrate(sech(a+b*log(c*x^n))^4,x, algorithm=""giac"")","\int \operatorname{sech}\left(b \log\left(c x^{n}\right) + a\right)^{4}\,{d x}"," ",0,"integrate(sech(b*log(c*x^n) + a)^4, x)","F",0
186,1,215,0,1.219103," ","integrate((-b^2*n^2+1)*sech(a+b*log(c*x^n))+2*b^2*n^2*sech(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\frac{2 \, b c^{3 \, b} n x x^{3 \, b n} e^{\left(3 \, a\right)}}{c^{4 \, b} x^{4 \, b n} e^{\left(4 \, a\right)} + 2 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1} - \frac{2 \, b c^{b} n x x^{b n} e^{a}}{c^{4 \, b} x^{4 \, b n} e^{\left(4 \, a\right)} + 2 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1} + \frac{2 \, c^{3 \, b} x x^{3 \, b n} e^{\left(3 \, a\right)}}{c^{4 \, b} x^{4 \, b n} e^{\left(4 \, a\right)} + 2 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1} + \frac{2 \, c^{b} x x^{b n} e^{a}}{c^{4 \, b} x^{4 \, b n} e^{\left(4 \, a\right)} + 2 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1}"," ",0,"2*b*c^(3*b)*n*x*x^(3*b*n)*e^(3*a)/(c^(4*b)*x^(4*b*n)*e^(4*a) + 2*c^(2*b)*x^(2*b*n)*e^(2*a) + 1) - 2*b*c^b*n*x*x^(b*n)*e^a/(c^(4*b)*x^(4*b*n)*e^(4*a) + 2*c^(2*b)*x^(2*b*n)*e^(2*a) + 1) + 2*c^(3*b)*x*x^(3*b*n)*e^(3*a)/(c^(4*b)*x^(4*b*n)*e^(4*a) + 2*c^(2*b)*x^(2*b*n)*e^(2*a) + 1) + 2*c^b*x*x^(b*n)*e^a/(c^(4*b)*x^(4*b*n)*e^(4*a) + 2*c^(2*b)*x^(2*b*n)*e^(2*a) + 1)","B",0
187,1,38,0,0.130877," ","integrate(sech(a+2*log(c*x^(1/2)))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(2 \, c^{4} x^{2} e^{\left(2 \, a\right)} + 1\right)} e^{\left(-a\right)}}{{\left(c^{4} x^{2} e^{\left(2 \, a\right)} + 1\right)}^{2} c^{2}}"," ",0,"-2*(2*c^4*x^2*e^(2*a) + 1)*e^(-a)/((c^4*x^2*e^(2*a) + 1)^2*c^2)","A",0
188,1,37,0,0.129753," ","integrate(sech(a+2*log(c/x^(1/2)))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(c^{10} e^{\left(5 \, a\right)} + 2 \, c^{6} x^{2} e^{\left(3 \, a\right)}\right)}}{{\left(c^{4} e^{\left(2 \, a\right)} + x^{2}\right)}^{2}}"," ",0,"-2*(c^10*e^(5*a) + 2*c^6*x^2*e^(3*a))/(c^4*e^(2*a) + x^2)^2","A",0
189,0,0,0,0.000000," ","integrate(sech(a+log(c*x^n)/n/(-2+p))^p,x, algorithm=""giac"")","\int \operatorname{sech}\left(a + \frac{\log\left(c x^{n}\right)}{n {\left(p - 2\right)}}\right)^{p}\,{d x}"," ",0,"integrate(sech(a + log(c*x^n)/(n*(p - 2)))^p, x)","F",0
190,0,0,0,0.000000," ","integrate(sech(a-log(c*x^n)/n/(-2+p))^p,x, algorithm=""giac"")","\int \operatorname{sech}\left(a - \frac{\log\left(c x^{n}\right)}{n {\left(p - 2\right)}}\right)^{p}\,{d x}"," ",0,"integrate(sech(a - log(c*x^n)/(n*(p - 2)))^p, x)","F",0
191,1,27,0,0.117884," ","integrate(sech(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{c^{2 \, b} x^{b n} e^{a}}{c^{b}}\right)}{b n}"," ",0,"2*arctan(c^(2*b)*x^(b*n)*e^a/c^b)/(b*n)","A",0
192,1,28,0,0.144759," ","integrate(sech(a+b*log(c*x^n))^2/x,x, algorithm=""giac"")","-\frac{2}{{\left(c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1\right)} b n}"," ",0,"-2/((c^(2*b)*x^(2*b*n)*e^(2*a) + 1)*b*n)","A",0
193,1,115,0,0.154590," ","integrate(sech(a+b*log(c*x^n))^3/x,x, algorithm=""giac"")","c^{3 \, b} {\left(\frac{\arctan\left(\frac{c^{2 \, b} x^{b n} e^{a}}{c^{b}}\right) e^{\left(-3 \, a\right)}}{b c^{2 \, b} c^{b} n} + \frac{{\left(c^{2 \, b} x^{3 \, b n} e^{\left(2 \, a\right)} - x^{b n}\right)} e^{\left(-2 \, a\right)}}{{\left(c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1\right)}^{2} b c^{2 \, b} n}\right)} e^{\left(3 \, a\right)}"," ",0,"c^(3*b)*(arctan(c^(2*b)*x^(b*n)*e^a/c^b)*e^(-3*a)/(b*c^(2*b)*c^b*n) + (c^(2*b)*x^(3*b*n)*e^(2*a) - x^(b*n))*e^(-2*a)/((c^(2*b)*x^(2*b*n)*e^(2*a) + 1)^2*b*c^(2*b)*n))*e^(3*a)","B",0
194,1,47,0,0.149630," ","integrate(sech(a+b*log(c*x^n))^4/x,x, algorithm=""giac"")","-\frac{4 \, {\left(3 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1\right)}}{3 \, {\left(c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1\right)}^{3} b n}"," ",0,"-4/3*(3*c^(2*b)*x^(2*b*n)*e^(2*a) + 1)/((c^(2*b)*x^(2*b*n)*e^(2*a) + 1)^3*b*n)","A",0
195,1,152,0,0.166000," ","integrate(sech(a+b*log(c*x^n))^5/x,x, algorithm=""giac"")","\frac{1}{4} \, c^{5 \, b} {\left(\frac{3 \, \arctan\left(\frac{c^{2 \, b} x^{b n} e^{a}}{c^{b}}\right) e^{\left(-5 \, a\right)}}{b c^{4 \, b} c^{b} n} + \frac{{\left(3 \, c^{6 \, b} x^{7 \, b n} e^{\left(6 \, a\right)} + 11 \, c^{4 \, b} x^{5 \, b n} e^{\left(4 \, a\right)} - 11 \, c^{2 \, b} x^{3 \, b n} e^{\left(2 \, a\right)} - 3 \, x^{b n}\right)} e^{\left(-4 \, a\right)}}{{\left(c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1\right)}^{4} b c^{4 \, b} n}\right)} e^{\left(5 \, a\right)}"," ",0,"1/4*c^(5*b)*(3*arctan(c^(2*b)*x^(b*n)*e^a/c^b)*e^(-5*a)/(b*c^(4*b)*c^b*n) + (3*c^(6*b)*x^(7*b*n)*e^(6*a) + 11*c^(4*b)*x^(5*b*n)*e^(4*a) - 11*c^(2*b)*x^(3*b*n)*e^(2*a) - 3*x^(b*n))*e^(-4*a)/((c^(2*b)*x^(2*b*n)*e^(2*a) + 1)^4*b*c^(4*b)*n))*e^(5*a)","A",0
196,-1,0,0,0.000000," ","integrate(sech(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
197,-1,0,0,0.000000," ","integrate(sech(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
198,-1,0,0,0.000000," ","integrate(sech(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
199,0,0,0,0.000000," ","integrate(1/x/sech(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\int \frac{1}{x \sqrt{\operatorname{sech}\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(x*sqrt(sech(b*log(c*x^n) + a))), x)","F",0
200,0,0,0,0.000000," ","integrate(1/x/sech(a+b*log(c*x^n))^(3/2),x, algorithm=""giac"")","\int \frac{1}{x \operatorname{sech}\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x*sech(b*log(c*x^n) + a)^(3/2)), x)","F",0
201,0,0,0,0.000000," ","integrate(1/x/sech(a+b*log(c*x^n))^(5/2),x, algorithm=""giac"")","\int \frac{1}{x \operatorname{sech}\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x*sech(b*log(c*x^n) + a)^(5/2)), x)","F",0
