1,1,11,0,0.360966," ","integrate(sech(b*x+a),x, algorithm=""maxima"")","\frac{\arctan\left(\sinh\left(b x + a\right)\right)}{b}"," ",0,"arctan(sinh(b*x + a))/b","A",0
2,1,18,0,0.306077," ","integrate(sech(b*x+a)^2,x, algorithm=""maxima"")","\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
3,1,65,0,1.126808," ","integrate(sech(b*x+a)^3,x, algorithm=""maxima"")","-\frac{\arctan\left(e^{\left(-b x - a\right)}\right)}{b} + \frac{e^{\left(-b x - a\right)} - e^{\left(-3 \, b x - 3 \, a\right)}}{b {\left(2 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-4 \, b x - 4 \, a\right)} + 1\right)}}"," ",0,"-arctan(e^(-b*x - a))/b + (e^(-b*x - a) - e^(-3*b*x - 3*a))/(b*(2*e^(-2*b*x - 2*a) + e^(-4*b*x - 4*a) + 1))","B",0
4,1,90,0,0.323020," ","integrate(sech(b*x+a)^4,x, algorithm=""maxima"")","\frac{4 \, e^{\left(-2 \, b x - 2 \, a\right)}}{b {\left(3 \, e^{\left(-2 \, b x - 2 \, a\right)} + 3 \, e^{\left(-4 \, b x - 4 \, a\right)} + e^{\left(-6 \, b x - 6 \, a\right)} + 1\right)}} + \frac{4}{3 \, b {\left(3 \, e^{\left(-2 \, b x - 2 \, a\right)} + 3 \, e^{\left(-4 \, b x - 4 \, a\right)} + e^{\left(-6 \, b x - 6 \, a\right)} + 1\right)}}"," ",0,"4*e^(-2*b*x - 2*a)/(b*(3*e^(-2*b*x - 2*a) + 3*e^(-4*b*x - 4*a) + e^(-6*b*x - 6*a) + 1)) + 4/3/(b*(3*e^(-2*b*x - 2*a) + 3*e^(-4*b*x - 4*a) + e^(-6*b*x - 6*a) + 1))","B",0
5,1,112,0,0.567850," ","integrate(sech(b*x+a)^5,x, algorithm=""maxima"")","-\frac{3 \, \arctan\left(e^{\left(-b x - a\right)}\right)}{4 \, b} + \frac{3 \, e^{\left(-b x - a\right)} + 11 \, e^{\left(-3 \, b x - 3 \, a\right)} - 11 \, e^{\left(-5 \, b x - 5 \, a\right)} - 3 \, e^{\left(-7 \, b x - 7 \, a\right)}}{4 \, b {\left(4 \, e^{\left(-2 \, b x - 2 \, a\right)} + 6 \, e^{\left(-4 \, b x - 4 \, a\right)} + 4 \, e^{\left(-6 \, b x - 6 \, a\right)} + e^{\left(-8 \, b x - 8 \, a\right)} + 1\right)}}"," ",0,"-3/4*arctan(e^(-b*x - a))/b + 1/4*(3*e^(-b*x - a) + 11*e^(-3*b*x - 3*a) - 11*e^(-5*b*x - 5*a) - 3*e^(-7*b*x - 7*a))/(b*(4*e^(-2*b*x - 2*a) + 6*e^(-4*b*x - 4*a) + 4*e^(-6*b*x - 6*a) + e^(-8*b*x - 8*a) + 1))","B",0
6,1,205,0,0.317898," ","integrate(sech(b*x+a)^6,x, algorithm=""maxima"")","\frac{16 \, e^{\left(-2 \, b x - 2 \, a\right)}}{3 \, b {\left(5 \, e^{\left(-2 \, b x - 2 \, a\right)} + 10 \, e^{\left(-4 \, b x - 4 \, a\right)} + 10 \, e^{\left(-6 \, b x - 6 \, a\right)} + 5 \, e^{\left(-8 \, b x - 8 \, a\right)} + e^{\left(-10 \, b x - 10 \, a\right)} + 1\right)}} + \frac{32 \, e^{\left(-4 \, b x - 4 \, a\right)}}{3 \, b {\left(5 \, e^{\left(-2 \, b x - 2 \, a\right)} + 10 \, e^{\left(-4 \, b x - 4 \, a\right)} + 10 \, e^{\left(-6 \, b x - 6 \, a\right)} + 5 \, e^{\left(-8 \, b x - 8 \, a\right)} + e^{\left(-10 \, b x - 10 \, a\right)} + 1\right)}} + \frac{16}{15 \, b {\left(5 \, e^{\left(-2 \, b x - 2 \, a\right)} + 10 \, e^{\left(-4 \, b x - 4 \, a\right)} + 10 \, e^{\left(-6 \, b x - 6 \, a\right)} + 5 \, e^{\left(-8 \, b x - 8 \, a\right)} + e^{\left(-10 \, b x - 10 \, a\right)} + 1\right)}}"," ",0,"16/3*e^(-2*b*x - 2*a)/(b*(5*e^(-2*b*x - 2*a) + 10*e^(-4*b*x - 4*a) + 10*e^(-6*b*x - 6*a) + 5*e^(-8*b*x - 8*a) + e^(-10*b*x - 10*a) + 1)) + 32/3*e^(-4*b*x - 4*a)/(b*(5*e^(-2*b*x - 2*a) + 10*e^(-4*b*x - 4*a) + 10*e^(-6*b*x - 6*a) + 5*e^(-8*b*x - 8*a) + e^(-10*b*x - 10*a) + 1)) + 16/15/(b*(5*e^(-2*b*x - 2*a) + 10*e^(-4*b*x - 4*a) + 10*e^(-6*b*x - 6*a) + 5*e^(-8*b*x - 8*a) + e^(-10*b*x - 10*a) + 1))","B",0
7,1,49,0,0.314989," ","integrate(sech(7*x)^4,x, algorithm=""maxima"")","\frac{4 \, e^{\left(-14 \, x\right)}}{7 \, {\left(3 \, e^{\left(-14 \, x\right)} + 3 \, e^{\left(-28 \, x\right)} + e^{\left(-42 \, x\right)} + 1\right)}} + \frac{4}{21 \, {\left(3 \, e^{\left(-14 \, x\right)} + 3 \, e^{\left(-28 \, x\right)} + e^{\left(-42 \, x\right)} + 1\right)}}"," ",0,"4/7*e^(-14*x)/(3*e^(-14*x) + 3*e^(-28*x) + e^(-42*x) + 1) + 4/21/(3*e^(-14*x) + 3*e^(-28*x) + e^(-42*x) + 1)","B",0
8,1,137,0,2.080045," ","integrate(sech(pi*x)^6,x, algorithm=""maxima"")","\frac{16 \, e^{\left(-2 \, \pi x\right)}}{3 \, \pi {\left(5 \, e^{\left(-2 \, \pi x\right)} + 10 \, e^{\left(-4 \, \pi x\right)} + 10 \, e^{\left(-6 \, \pi x\right)} + 5 \, e^{\left(-8 \, \pi x\right)} + e^{\left(-10 \, \pi x\right)} + 1\right)}} + \frac{32 \, e^{\left(-4 \, \pi x\right)}}{3 \, \pi {\left(5 \, e^{\left(-2 \, \pi x\right)} + 10 \, e^{\left(-4 \, \pi x\right)} + 10 \, e^{\left(-6 \, \pi x\right)} + 5 \, e^{\left(-8 \, \pi x\right)} + e^{\left(-10 \, \pi x\right)} + 1\right)}} + \frac{16}{15 \, \pi {\left(5 \, e^{\left(-2 \, \pi x\right)} + 10 \, e^{\left(-4 \, \pi x\right)} + 10 \, e^{\left(-6 \, \pi x\right)} + 5 \, e^{\left(-8 \, \pi x\right)} + e^{\left(-10 \, \pi x\right)} + 1\right)}}"," ",0,"16/3*e^(-2*pi*x)/(pi*(5*e^(-2*pi*x) + 10*e^(-4*pi*x) + 10*e^(-6*pi*x) + 5*e^(-8*pi*x) + e^(-10*pi*x) + 1)) + 32/3*e^(-4*pi*x)/(pi*(5*e^(-2*pi*x) + 10*e^(-4*pi*x) + 10*e^(-6*pi*x) + 5*e^(-8*pi*x) + e^(-10*pi*x) + 1)) + 16/15/(pi*(5*e^(-2*pi*x) + 10*e^(-4*pi*x) + 10*e^(-6*pi*x) + 5*e^(-8*pi*x) + e^(-10*pi*x) + 1))","B",0
9,0,0,0,0.000000," ","integrate(sech(b*x+a)^(5/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
24,1,156,0,0.477296," ","integrate((sech(b*x+a)^2)^(7/2),x, algorithm=""maxima"")","-\frac{5 \, \arctan\left(e^{\left(-b x - a\right)}\right)}{8 \, b} + \frac{15 \, e^{\left(-b x - a\right)} + 85 \, e^{\left(-3 \, b x - 3 \, a\right)} + 198 \, e^{\left(-5 \, b x - 5 \, a\right)} - 198 \, e^{\left(-7 \, b x - 7 \, a\right)} - 85 \, e^{\left(-9 \, b x - 9 \, a\right)} - 15 \, e^{\left(-11 \, b x - 11 \, a\right)}}{24 \, b {\left(6 \, e^{\left(-2 \, b x - 2 \, a\right)} + 15 \, e^{\left(-4 \, b x - 4 \, a\right)} + 20 \, e^{\left(-6 \, b x - 6 \, a\right)} + 15 \, e^{\left(-8 \, b x - 8 \, a\right)} + 6 \, e^{\left(-10 \, b x - 10 \, a\right)} + e^{\left(-12 \, b x - 12 \, a\right)} + 1\right)}}"," ",0,"-5/8*arctan(e^(-b*x - a))/b + 1/24*(15*e^(-b*x - a) + 85*e^(-3*b*x - 3*a) + 198*e^(-5*b*x - 5*a) - 198*e^(-7*b*x - 7*a) - 85*e^(-9*b*x - 9*a) - 15*e^(-11*b*x - 11*a))/(b*(6*e^(-2*b*x - 2*a) + 15*e^(-4*b*x - 4*a) + 20*e^(-6*b*x - 6*a) + 15*e^(-8*b*x - 8*a) + 6*e^(-10*b*x - 10*a) + e^(-12*b*x - 12*a) + 1))","B",0
25,1,112,0,0.421258," ","integrate((sech(b*x+a)^2)^(5/2),x, algorithm=""maxima"")","-\frac{3 \, \arctan\left(e^{\left(-b x - a\right)}\right)}{4 \, b} + \frac{3 \, e^{\left(-b x - a\right)} + 11 \, e^{\left(-3 \, b x - 3 \, a\right)} - 11 \, e^{\left(-5 \, b x - 5 \, a\right)} - 3 \, e^{\left(-7 \, b x - 7 \, a\right)}}{4 \, b {\left(4 \, e^{\left(-2 \, b x - 2 \, a\right)} + 6 \, e^{\left(-4 \, b x - 4 \, a\right)} + 4 \, e^{\left(-6 \, b x - 6 \, a\right)} + e^{\left(-8 \, b x - 8 \, a\right)} + 1\right)}}"," ",0,"-3/4*arctan(e^(-b*x - a))/b + 1/4*(3*e^(-b*x - a) + 11*e^(-3*b*x - 3*a) - 11*e^(-5*b*x - 5*a) - 3*e^(-7*b*x - 7*a))/(b*(4*e^(-2*b*x - 2*a) + 6*e^(-4*b*x - 4*a) + 4*e^(-6*b*x - 6*a) + e^(-8*b*x - 8*a) + 1))","B",0
26,1,65,0,0.421216," ","integrate((sech(b*x+a)^2)^(3/2),x, algorithm=""maxima"")","-\frac{\arctan\left(e^{\left(-b x - a\right)}\right)}{b} + \frac{e^{\left(-b x - a\right)} - e^{\left(-3 \, b x - 3 \, a\right)}}{b {\left(2 \, e^{\left(-2 \, b x - 2 \, a\right)} + e^{\left(-4 \, b x - 4 \, a\right)} + 1\right)}}"," ",0,"-arctan(e^(-b*x - a))/b + (e^(-b*x - a) - e^(-3*b*x - 3*a))/(b*(2*e^(-2*b*x - 2*a) + e^(-4*b*x - 4*a) + 1))","A",0
27,1,11,0,0.316108," ","integrate((sech(b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\arctan\left(\sinh\left(b x + a\right)\right)}{b}"," ",0,"arctan(sinh(b*x + a))/b","A",0
28,1,26,0,0.322720," ","integrate(1/(sech(b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{e^{\left(b x + a\right)}}{2 \, b} - \frac{e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"1/2*e^(b*x + a)/b - 1/2*e^(-b*x - a)/b","A",0
29,1,54,0,0.325517," ","integrate(1/(sech(b*x+a)^2)^(3/2),x, algorithm=""maxima"")","\frac{e^{\left(3 \, b x + 3 \, a\right)}}{24 \, b} + \frac{3 \, e^{\left(b x + a\right)}}{8 \, b} - \frac{3 \, e^{\left(-b x - a\right)}}{8 \, b} - \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{24 \, b}"," ",0,"1/24*e^(3*b*x + 3*a)/b + 3/8*e^(b*x + a)/b - 3/8*e^(-b*x - a)/b - 1/24*e^(-3*b*x - 3*a)/b","A",0
30,1,82,0,0.326411," ","integrate(1/(sech(b*x+a)^2)^(5/2),x, algorithm=""maxima"")","\frac{e^{\left(5 \, b x + 5 \, a\right)}}{160 \, b} + \frac{5 \, e^{\left(3 \, b x + 3 \, a\right)}}{96 \, b} + \frac{5 \, e^{\left(b x + a\right)}}{16 \, b} - \frac{5 \, e^{\left(-b x - a\right)}}{16 \, b} - \frac{5 \, e^{\left(-3 \, b x - 3 \, a\right)}}{96 \, b} - \frac{e^{\left(-5 \, b x - 5 \, a\right)}}{160 \, b}"," ",0,"1/160*e^(5*b*x + 5*a)/b + 5/96*e^(3*b*x + 3*a)/b + 5/16*e^(b*x + a)/b - 5/16*e^(-b*x - a)/b - 5/96*e^(-3*b*x - 3*a)/b - 1/160*e^(-5*b*x - 5*a)/b","A",0
31,1,100,0,0.324698," ","integrate(1/(sech(b*x+a)^2)^(7/2),x, algorithm=""maxima"")","\frac{{\left(49 \, e^{\left(-2 \, b x - 2 \, a\right)} + 245 \, e^{\left(-4 \, b x - 4 \, a\right)} + 1225 \, e^{\left(-6 \, b x - 6 \, a\right)} + 5\right)} e^{\left(7 \, b x + 7 \, a\right)}}{4480 \, b} - \frac{1225 \, e^{\left(-b x - a\right)} + 245 \, e^{\left(-3 \, b x - 3 \, a\right)} + 49 \, e^{\left(-5 \, b x - 5 \, a\right)} + 5 \, e^{\left(-7 \, b x - 7 \, a\right)}}{4480 \, b}"," ",0,"1/4480*(49*e^(-2*b*x - 2*a) + 245*e^(-4*b*x - 4*a) + 1225*e^(-6*b*x - 6*a) + 5)*e^(7*b*x + 7*a)/b - 1/4480*(1225*e^(-b*x - a) + 245*e^(-3*b*x - 3*a) + 49*e^(-5*b*x - 5*a) + 5*e^(-7*b*x - 7*a))/b","A",0
32,1,72,0,0.484120," ","integrate((a*sech(x)^2)^(5/2),x, algorithm=""maxima"")","\frac{3}{4} \, a^{\frac{5}{2}} \arctan\left(e^{x}\right) + \frac{3 \, a^{\frac{5}{2}} e^{\left(7 \, x\right)} + 11 \, a^{\frac{5}{2}} e^{\left(5 \, x\right)} - 11 \, a^{\frac{5}{2}} e^{\left(3 \, x\right)} - 3 \, a^{\frac{5}{2}} e^{x}}{4 \, {\left(e^{\left(8 \, x\right)} + 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 4 \, e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"3/4*a^(5/2)*arctan(e^x) + 1/4*(3*a^(5/2)*e^(7*x) + 11*a^(5/2)*e^(5*x) - 11*a^(5/2)*e^(3*x) - 3*a^(5/2)*e^x)/(e^(8*x) + 4*e^(6*x) + 6*e^(4*x) + 4*e^(2*x) + 1)","A",0
33,1,39,0,1.447587," ","integrate((a*sech(x)^2)^(3/2),x, algorithm=""maxima"")","a^{\frac{3}{2}} \arctan\left(e^{x}\right) + \frac{a^{\frac{3}{2}} e^{\left(3 \, x\right)} - a^{\frac{3}{2}} e^{x}}{e^{\left(4 \, x\right)} + 2 \, e^{\left(2 \, x\right)} + 1}"," ",0,"a^(3/2)*arctan(e^x) + (a^(3/2)*e^(3*x) - a^(3/2)*e^x)/(e^(4*x) + 2*e^(2*x) + 1)","A",0
34,1,8,0,0.481597," ","integrate((a*sech(x)^2)^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{a} \arctan\left(e^{x}\right)"," ",0,"2*sqrt(a)*arctan(e^x)","A",0
35,1,17,0,0.449595," ","integrate(1/(a*sech(x)^2)^(1/2),x, algorithm=""maxima"")","-\frac{e^{\left(-x\right)}}{2 \, \sqrt{a}} + \frac{e^{x}}{2 \, \sqrt{a}}"," ",0,"-1/2*e^(-x)/sqrt(a) + 1/2*e^x/sqrt(a)","A",0
36,1,35,0,0.438303," ","integrate(1/(a*sech(x)^2)^(3/2),x, algorithm=""maxima"")","\frac{e^{\left(3 \, x\right)}}{24 \, a^{\frac{3}{2}}} - \frac{3 \, e^{\left(-x\right)}}{8 \, a^{\frac{3}{2}}} - \frac{e^{\left(-3 \, x\right)}}{24 \, a^{\frac{3}{2}}} + \frac{3 \, e^{x}}{8 \, a^{\frac{3}{2}}}"," ",0,"1/24*e^(3*x)/a^(3/2) - 3/8*e^(-x)/a^(3/2) - 1/24*e^(-3*x)/a^(3/2) + 3/8*e^x/a^(3/2)","A",0
37,1,53,0,0.420287," ","integrate(1/(a*sech(x)^2)^(5/2),x, algorithm=""maxima"")","\frac{e^{\left(5 \, x\right)}}{160 \, a^{\frac{5}{2}}} + \frac{5 \, e^{\left(3 \, x\right)}}{96 \, a^{\frac{5}{2}}} - \frac{5 \, e^{\left(-x\right)}}{16 \, a^{\frac{5}{2}}} - \frac{5 \, e^{\left(-3 \, x\right)}}{96 \, a^{\frac{5}{2}}} - \frac{e^{\left(-5 \, x\right)}}{160 \, a^{\frac{5}{2}}} + \frac{5 \, e^{x}}{16 \, a^{\frac{5}{2}}}"," ",0,"1/160*e^(5*x)/a^(5/2) + 5/96*e^(3*x)/a^(5/2) - 5/16*e^(-x)/a^(5/2) - 5/96*e^(-3*x)/a^(5/2) - 1/160*e^(-5*x)/a^(5/2) + 5/16*e^x/a^(5/2)","A",0
38,1,71,0,0.428123," ","integrate(1/(a*sech(x)^2)^(7/2),x, algorithm=""maxima"")","\frac{e^{\left(7 \, x\right)}}{896 \, a^{\frac{7}{2}}} + \frac{7 \, e^{\left(5 \, x\right)}}{640 \, a^{\frac{7}{2}}} + \frac{7 \, e^{\left(3 \, x\right)}}{128 \, a^{\frac{7}{2}}} - \frac{35 \, e^{\left(-x\right)}}{128 \, a^{\frac{7}{2}}} - \frac{7 \, e^{\left(-3 \, x\right)}}{128 \, a^{\frac{7}{2}}} - \frac{7 \, e^{\left(-5 \, x\right)}}{640 \, a^{\frac{7}{2}}} - \frac{e^{\left(-7 \, x\right)}}{896 \, a^{\frac{7}{2}}} + \frac{35 \, e^{x}}{128 \, a^{\frac{7}{2}}}"," ",0,"1/896*e^(7*x)/a^(7/2) + 7/640*e^(5*x)/a^(7/2) + 7/128*e^(3*x)/a^(7/2) - 35/128*e^(-x)/a^(7/2) - 7/128*e^(-3*x)/a^(7/2) - 7/640*e^(-5*x)/a^(7/2) - 1/896*e^(-7*x)/a^(7/2) + 35/128*e^x/a^(7/2)","A",0
39,0,0,0,0.000000," ","integrate((a*sech(x)^3)^(5/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
45,1,620,0,0.464817," ","integrate((a*sech(x)^4)^(7/2),x, algorithm=""maxima"")","\frac{2048 \, a^{\frac{7}{2}} e^{\left(-2 \, x\right)}}{231 \, {\left(13 \, e^{\left(-2 \, x\right)} + 78 \, e^{\left(-4 \, x\right)} + 286 \, e^{\left(-6 \, x\right)} + 715 \, e^{\left(-8 \, x\right)} + 1287 \, e^{\left(-10 \, x\right)} + 1716 \, e^{\left(-12 \, x\right)} + 1716 \, e^{\left(-14 \, x\right)} + 1287 \, e^{\left(-16 \, x\right)} + 715 \, e^{\left(-18 \, x\right)} + 286 \, e^{\left(-20 \, x\right)} + 78 \, e^{\left(-22 \, x\right)} + 13 \, e^{\left(-24 \, x\right)} + e^{\left(-26 \, x\right)} + 1\right)}} + \frac{4096 \, a^{\frac{7}{2}} e^{\left(-4 \, x\right)}}{77 \, {\left(13 \, e^{\left(-2 \, x\right)} + 78 \, e^{\left(-4 \, x\right)} + 286 \, e^{\left(-6 \, x\right)} + 715 \, e^{\left(-8 \, x\right)} + 1287 \, e^{\left(-10 \, x\right)} + 1716 \, e^{\left(-12 \, x\right)} + 1716 \, e^{\left(-14 \, x\right)} + 1287 \, e^{\left(-16 \, x\right)} + 715 \, e^{\left(-18 \, x\right)} + 286 \, e^{\left(-20 \, x\right)} + 78 \, e^{\left(-22 \, x\right)} + 13 \, e^{\left(-24 \, x\right)} + e^{\left(-26 \, x\right)} + 1\right)}} + \frac{4096 \, a^{\frac{7}{2}} e^{\left(-6 \, x\right)}}{21 \, {\left(13 \, e^{\left(-2 \, x\right)} + 78 \, e^{\left(-4 \, x\right)} + 286 \, e^{\left(-6 \, x\right)} + 715 \, e^{\left(-8 \, x\right)} + 1287 \, e^{\left(-10 \, x\right)} + 1716 \, e^{\left(-12 \, x\right)} + 1716 \, e^{\left(-14 \, x\right)} + 1287 \, e^{\left(-16 \, x\right)} + 715 \, e^{\left(-18 \, x\right)} + 286 \, e^{\left(-20 \, x\right)} + 78 \, e^{\left(-22 \, x\right)} + 13 \, e^{\left(-24 \, x\right)} + e^{\left(-26 \, x\right)} + 1\right)}} + \frac{10240 \, a^{\frac{7}{2}} e^{\left(-8 \, x\right)}}{21 \, {\left(13 \, e^{\left(-2 \, x\right)} + 78 \, e^{\left(-4 \, x\right)} + 286 \, e^{\left(-6 \, x\right)} + 715 \, e^{\left(-8 \, x\right)} + 1287 \, e^{\left(-10 \, x\right)} + 1716 \, e^{\left(-12 \, x\right)} + 1716 \, e^{\left(-14 \, x\right)} + 1287 \, e^{\left(-16 \, x\right)} + 715 \, e^{\left(-18 \, x\right)} + 286 \, e^{\left(-20 \, x\right)} + 78 \, e^{\left(-22 \, x\right)} + 13 \, e^{\left(-24 \, x\right)} + e^{\left(-26 \, x\right)} + 1\right)}} + \frac{6144 \, a^{\frac{7}{2}} e^{\left(-10 \, x\right)}}{7 \, {\left(13 \, e^{\left(-2 \, x\right)} + 78 \, e^{\left(-4 \, x\right)} + 286 \, e^{\left(-6 \, x\right)} + 715 \, e^{\left(-8 \, x\right)} + 1287 \, e^{\left(-10 \, x\right)} + 1716 \, e^{\left(-12 \, x\right)} + 1716 \, e^{\left(-14 \, x\right)} + 1287 \, e^{\left(-16 \, x\right)} + 715 \, e^{\left(-18 \, x\right)} + 286 \, e^{\left(-20 \, x\right)} + 78 \, e^{\left(-22 \, x\right)} + 13 \, e^{\left(-24 \, x\right)} + e^{\left(-26 \, x\right)} + 1\right)}} + \frac{8192 \, a^{\frac{7}{2}} e^{\left(-12 \, x\right)}}{7 \, {\left(13 \, e^{\left(-2 \, x\right)} + 78 \, e^{\left(-4 \, x\right)} + 286 \, e^{\left(-6 \, x\right)} + 715 \, e^{\left(-8 \, x\right)} + 1287 \, e^{\left(-10 \, x\right)} + 1716 \, e^{\left(-12 \, x\right)} + 1716 \, e^{\left(-14 \, x\right)} + 1287 \, e^{\left(-16 \, x\right)} + 715 \, e^{\left(-18 \, x\right)} + 286 \, e^{\left(-20 \, x\right)} + 78 \, e^{\left(-22 \, x\right)} + 13 \, e^{\left(-24 \, x\right)} + e^{\left(-26 \, x\right)} + 1\right)}} + \frac{2048 \, a^{\frac{7}{2}}}{3003 \, {\left(13 \, e^{\left(-2 \, x\right)} + 78 \, e^{\left(-4 \, x\right)} + 286 \, e^{\left(-6 \, x\right)} + 715 \, e^{\left(-8 \, x\right)} + 1287 \, e^{\left(-10 \, x\right)} + 1716 \, e^{\left(-12 \, x\right)} + 1716 \, e^{\left(-14 \, x\right)} + 1287 \, e^{\left(-16 \, x\right)} + 715 \, e^{\left(-18 \, x\right)} + 286 \, e^{\left(-20 \, x\right)} + 78 \, e^{\left(-22 \, x\right)} + 13 \, e^{\left(-24 \, x\right)} + e^{\left(-26 \, x\right)} + 1\right)}}"," ",0,"2048/231*a^(7/2)*e^(-2*x)/(13*e^(-2*x) + 78*e^(-4*x) + 286*e^(-6*x) + 715*e^(-8*x) + 1287*e^(-10*x) + 1716*e^(-12*x) + 1716*e^(-14*x) + 1287*e^(-16*x) + 715*e^(-18*x) + 286*e^(-20*x) + 78*e^(-22*x) + 13*e^(-24*x) + e^(-26*x) + 1) + 4096/77*a^(7/2)*e^(-4*x)/(13*e^(-2*x) + 78*e^(-4*x) + 286*e^(-6*x) + 715*e^(-8*x) + 1287*e^(-10*x) + 1716*e^(-12*x) + 1716*e^(-14*x) + 1287*e^(-16*x) + 715*e^(-18*x) + 286*e^(-20*x) + 78*e^(-22*x) + 13*e^(-24*x) + e^(-26*x) + 1) + 4096/21*a^(7/2)*e^(-6*x)/(13*e^(-2*x) + 78*e^(-4*x) + 286*e^(-6*x) + 715*e^(-8*x) + 1287*e^(-10*x) + 1716*e^(-12*x) + 1716*e^(-14*x) + 1287*e^(-16*x) + 715*e^(-18*x) + 286*e^(-20*x) + 78*e^(-22*x) + 13*e^(-24*x) + e^(-26*x) + 1) + 10240/21*a^(7/2)*e^(-8*x)/(13*e^(-2*x) + 78*e^(-4*x) + 286*e^(-6*x) + 715*e^(-8*x) + 1287*e^(-10*x) + 1716*e^(-12*x) + 1716*e^(-14*x) + 1287*e^(-16*x) + 715*e^(-18*x) + 286*e^(-20*x) + 78*e^(-22*x) + 13*e^(-24*x) + e^(-26*x) + 1) + 6144/7*a^(7/2)*e^(-10*x)/(13*e^(-2*x) + 78*e^(-4*x) + 286*e^(-6*x) + 715*e^(-8*x) + 1287*e^(-10*x) + 1716*e^(-12*x) + 1716*e^(-14*x) + 1287*e^(-16*x) + 715*e^(-18*x) + 286*e^(-20*x) + 78*e^(-22*x) + 13*e^(-24*x) + e^(-26*x) + 1) + 8192/7*a^(7/2)*e^(-12*x)/(13*e^(-2*x) + 78*e^(-4*x) + 286*e^(-6*x) + 715*e^(-8*x) + 1287*e^(-10*x) + 1716*e^(-12*x) + 1716*e^(-14*x) + 1287*e^(-16*x) + 715*e^(-18*x) + 286*e^(-20*x) + 78*e^(-22*x) + 13*e^(-24*x) + e^(-26*x) + 1) + 2048/3003*a^(7/2)/(13*e^(-2*x) + 78*e^(-4*x) + 286*e^(-6*x) + 715*e^(-8*x) + 1287*e^(-10*x) + 1716*e^(-12*x) + 1716*e^(-14*x) + 1287*e^(-16*x) + 715*e^(-18*x) + 286*e^(-20*x) + 78*e^(-22*x) + 13*e^(-24*x) + e^(-26*x) + 1)","B",0
46,1,322,0,0.434952," ","integrate((a*sech(x)^4)^(5/2),x, algorithm=""maxima"")","\frac{256 \, a^{\frac{5}{2}} e^{\left(-2 \, x\right)}}{35 \, {\left(9 \, e^{\left(-2 \, x\right)} + 36 \, e^{\left(-4 \, x\right)} + 84 \, e^{\left(-6 \, x\right)} + 126 \, e^{\left(-8 \, x\right)} + 126 \, e^{\left(-10 \, x\right)} + 84 \, e^{\left(-12 \, x\right)} + 36 \, e^{\left(-14 \, x\right)} + 9 \, e^{\left(-16 \, x\right)} + e^{\left(-18 \, x\right)} + 1\right)}} + \frac{1024 \, a^{\frac{5}{2}} e^{\left(-4 \, x\right)}}{35 \, {\left(9 \, e^{\left(-2 \, x\right)} + 36 \, e^{\left(-4 \, x\right)} + 84 \, e^{\left(-6 \, x\right)} + 126 \, e^{\left(-8 \, x\right)} + 126 \, e^{\left(-10 \, x\right)} + 84 \, e^{\left(-12 \, x\right)} + 36 \, e^{\left(-14 \, x\right)} + 9 \, e^{\left(-16 \, x\right)} + e^{\left(-18 \, x\right)} + 1\right)}} + \frac{1024 \, a^{\frac{5}{2}} e^{\left(-6 \, x\right)}}{15 \, {\left(9 \, e^{\left(-2 \, x\right)} + 36 \, e^{\left(-4 \, x\right)} + 84 \, e^{\left(-6 \, x\right)} + 126 \, e^{\left(-8 \, x\right)} + 126 \, e^{\left(-10 \, x\right)} + 84 \, e^{\left(-12 \, x\right)} + 36 \, e^{\left(-14 \, x\right)} + 9 \, e^{\left(-16 \, x\right)} + e^{\left(-18 \, x\right)} + 1\right)}} + \frac{512 \, a^{\frac{5}{2}} e^{\left(-8 \, x\right)}}{5 \, {\left(9 \, e^{\left(-2 \, x\right)} + 36 \, e^{\left(-4 \, x\right)} + 84 \, e^{\left(-6 \, x\right)} + 126 \, e^{\left(-8 \, x\right)} + 126 \, e^{\left(-10 \, x\right)} + 84 \, e^{\left(-12 \, x\right)} + 36 \, e^{\left(-14 \, x\right)} + 9 \, e^{\left(-16 \, x\right)} + e^{\left(-18 \, x\right)} + 1\right)}} + \frac{256 \, a^{\frac{5}{2}}}{315 \, {\left(9 \, e^{\left(-2 \, x\right)} + 36 \, e^{\left(-4 \, x\right)} + 84 \, e^{\left(-6 \, x\right)} + 126 \, e^{\left(-8 \, x\right)} + 126 \, e^{\left(-10 \, x\right)} + 84 \, e^{\left(-12 \, x\right)} + 36 \, e^{\left(-14 \, x\right)} + 9 \, e^{\left(-16 \, x\right)} + e^{\left(-18 \, x\right)} + 1\right)}}"," ",0,"256/35*a^(5/2)*e^(-2*x)/(9*e^(-2*x) + 36*e^(-4*x) + 84*e^(-6*x) + 126*e^(-8*x) + 126*e^(-10*x) + 84*e^(-12*x) + 36*e^(-14*x) + 9*e^(-16*x) + e^(-18*x) + 1) + 1024/35*a^(5/2)*e^(-4*x)/(9*e^(-2*x) + 36*e^(-4*x) + 84*e^(-6*x) + 126*e^(-8*x) + 126*e^(-10*x) + 84*e^(-12*x) + 36*e^(-14*x) + 9*e^(-16*x) + e^(-18*x) + 1) + 1024/15*a^(5/2)*e^(-6*x)/(9*e^(-2*x) + 36*e^(-4*x) + 84*e^(-6*x) + 126*e^(-8*x) + 126*e^(-10*x) + 84*e^(-12*x) + 36*e^(-14*x) + 9*e^(-16*x) + e^(-18*x) + 1) + 512/5*a^(5/2)*e^(-8*x)/(9*e^(-2*x) + 36*e^(-4*x) + 84*e^(-6*x) + 126*e^(-8*x) + 126*e^(-10*x) + 84*e^(-12*x) + 36*e^(-14*x) + 9*e^(-16*x) + e^(-18*x) + 1) + 256/315*a^(5/2)/(9*e^(-2*x) + 36*e^(-4*x) + 84*e^(-6*x) + 126*e^(-8*x) + 126*e^(-10*x) + 84*e^(-12*x) + 36*e^(-14*x) + 9*e^(-16*x) + e^(-18*x) + 1)","B",0
47,1,120,0,0.437070," ","integrate((a*sech(x)^4)^(3/2),x, algorithm=""maxima"")","\frac{16 \, a^{\frac{3}{2}} e^{\left(-2 \, x\right)}}{3 \, {\left(5 \, e^{\left(-2 \, x\right)} + 10 \, e^{\left(-4 \, x\right)} + 10 \, e^{\left(-6 \, x\right)} + 5 \, e^{\left(-8 \, x\right)} + e^{\left(-10 \, x\right)} + 1\right)}} + \frac{32 \, a^{\frac{3}{2}} e^{\left(-4 \, x\right)}}{3 \, {\left(5 \, e^{\left(-2 \, x\right)} + 10 \, e^{\left(-4 \, x\right)} + 10 \, e^{\left(-6 \, x\right)} + 5 \, e^{\left(-8 \, x\right)} + e^{\left(-10 \, x\right)} + 1\right)}} + \frac{16 \, a^{\frac{3}{2}}}{15 \, {\left(5 \, e^{\left(-2 \, x\right)} + 10 \, e^{\left(-4 \, x\right)} + 10 \, e^{\left(-6 \, x\right)} + 5 \, e^{\left(-8 \, x\right)} + e^{\left(-10 \, x\right)} + 1\right)}}"," ",0,"16/3*a^(3/2)*e^(-2*x)/(5*e^(-2*x) + 10*e^(-4*x) + 10*e^(-6*x) + 5*e^(-8*x) + e^(-10*x) + 1) + 32/3*a^(3/2)*e^(-4*x)/(5*e^(-2*x) + 10*e^(-4*x) + 10*e^(-6*x) + 5*e^(-8*x) + e^(-10*x) + 1) + 16/15*a^(3/2)/(5*e^(-2*x) + 10*e^(-4*x) + 10*e^(-6*x) + 5*e^(-8*x) + e^(-10*x) + 1)","B",0
48,1,13,0,0.435564," ","integrate((a*sech(x)^4)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{a}}{e^{\left(-2 \, x\right)} + 1}"," ",0,"2*sqrt(a)/(e^(-2*x) + 1)","A",0
49,1,30,0,0.437930," ","integrate(1/(a*sech(x)^4)^(1/2),x, algorithm=""maxima"")","-\frac{{\left(\sqrt{a} e^{\left(-4 \, x\right)} - \sqrt{a}\right)} e^{\left(2 \, x\right)}}{8 \, a} + \frac{x}{2 \, \sqrt{a}}"," ",0,"-1/8*(sqrt(a)*e^(-4*x) - sqrt(a))*e^(2*x)/a + 1/2*x/sqrt(a)","A",0
50,1,65,0,0.465611," ","integrate(1/(a*sech(x)^4)^(3/2),x, algorithm=""maxima"")","\frac{{\left(9 \, \sqrt{a} e^{\left(-2 \, x\right)} + 45 \, \sqrt{a} e^{\left(-4 \, x\right)} - 45 \, \sqrt{a} e^{\left(-8 \, x\right)} - 9 \, \sqrt{a} e^{\left(-10 \, x\right)} - \sqrt{a} e^{\left(-12 \, x\right)} + \sqrt{a}\right)} e^{\left(6 \, x\right)}}{384 \, a^{2}} + \frac{5 \, x}{16 \, a^{\frac{3}{2}}}"," ",0,"1/384*(9*sqrt(a)*e^(-2*x) + 45*sqrt(a)*e^(-4*x) - 45*sqrt(a)*e^(-8*x) - 9*sqrt(a)*e^(-10*x) - sqrt(a)*e^(-12*x) + sqrt(a))*e^(6*x)/a^2 + 5/16*x/a^(3/2)","A",0
51,1,103,0,0.493704," ","integrate(1/(a*sech(x)^4)^(5/2),x, algorithm=""maxima"")","\frac{{\left(25 \, \sqrt{a} e^{\left(-2 \, x\right)} + 150 \, \sqrt{a} e^{\left(-4 \, x\right)} + 600 \, \sqrt{a} e^{\left(-6 \, x\right)} + 2100 \, \sqrt{a} e^{\left(-8 \, x\right)} - 2100 \, \sqrt{a} e^{\left(-12 \, x\right)} - 600 \, \sqrt{a} e^{\left(-14 \, x\right)} - 150 \, \sqrt{a} e^{\left(-16 \, x\right)} - 25 \, \sqrt{a} e^{\left(-18 \, x\right)} - 2 \, \sqrt{a} e^{\left(-20 \, x\right)} + 2 \, \sqrt{a}\right)} e^{\left(10 \, x\right)}}{20480 \, a^{3}} + \frac{63 \, x}{256 \, a^{\frac{5}{2}}}"," ",0,"1/20480*(25*sqrt(a)*e^(-2*x) + 150*sqrt(a)*e^(-4*x) + 600*sqrt(a)*e^(-6*x) + 2100*sqrt(a)*e^(-8*x) - 2100*sqrt(a)*e^(-12*x) - 600*sqrt(a)*e^(-14*x) - 150*sqrt(a)*e^(-16*x) - 25*sqrt(a)*e^(-18*x) - 2*sqrt(a)*e^(-20*x) + 2*sqrt(a))*e^(10*x)/a^3 + 63/256*x/a^(5/2)","A",0
52,1,54,0,0.317398," ","integrate(sinh(x)^4/(a+a*sech(x)),x, algorithm=""maxima"")","-\frac{{\left(8 \, e^{\left(-x\right)} - 24 \, e^{\left(-3 \, x\right)} - 3\right)} e^{\left(4 \, x\right)}}{192 \, a} - \frac{x}{8 \, a} - \frac{24 \, e^{\left(-x\right)} - 8 \, e^{\left(-3 \, x\right)} + 3 \, e^{\left(-4 \, x\right)}}{192 \, a}"," ",0,"-1/192*(8*e^(-x) - 24*e^(-3*x) - 3)*e^(4*x)/a - 1/8*x/a - 1/192*(24*e^(-x) - 8*e^(-3*x) + 3*e^(-4*x))/a","A",0
53,1,46,0,0.316040," ","integrate(sinh(x)^3/(a+a*sech(x)),x, algorithm=""maxima"")","-\frac{{\left(3 \, e^{\left(-x\right)} - 3 \, e^{\left(-2 \, x\right)} - 1\right)} e^{\left(3 \, x\right)}}{24 \, a} + \frac{3 \, e^{\left(-x\right)} - 3 \, e^{\left(-2 \, x\right)} + e^{\left(-3 \, x\right)}}{24 \, a}"," ",0,"-1/24*(3*e^(-x) - 3*e^(-2*x) - 1)*e^(3*x)/a + 1/24*(3*e^(-x) - 3*e^(-2*x) + e^(-3*x))/a","B",0
54,1,42,0,0.312750," ","integrate(sinh(x)^2/(a+a*sech(x)),x, algorithm=""maxima"")","-\frac{{\left(4 \, e^{\left(-x\right)} - 1\right)} e^{\left(2 \, x\right)}}{8 \, a} + \frac{x}{2 \, a} + \frac{4 \, e^{\left(-x\right)} - e^{\left(-2 \, x\right)}}{8 \, a}"," ",0,"-1/8*(4*e^(-x) - 1)*e^(2*x)/a + 1/2*x/a + 1/8*(4*e^(-x) - e^(-2*x))/a","A",0
55,1,35,0,0.317018," ","integrate(sinh(x)/(a+a*sech(x)),x, algorithm=""maxima"")","-\frac{x}{a} + \frac{e^{\left(-x\right)}}{2 \, a} + \frac{e^{x}}{2 \, a} - \frac{2 \, \log\left(e^{\left(-x\right)} + 1\right)}{a}"," ",0,"-x/a + 1/2*e^(-x)/a + 1/2*e^x/a - 2*log(e^(-x) + 1)/a","B",0
56,1,48,0,0.317706," ","integrate(csch(x)/(a+a*sech(x)),x, algorithm=""maxima"")","-\frac{e^{\left(-x\right)}}{2 \, a e^{\left(-x\right)} + a e^{\left(-2 \, x\right)} + a} - \frac{\log\left(e^{\left(-x\right)} + 1\right)}{2 \, a} + \frac{\log\left(e^{\left(-x\right)} - 1\right)}{2 \, a}"," ",0,"-e^(-x)/(2*a*e^(-x) + a*e^(-2*x) + a) - 1/2*log(e^(-x) + 1)/a + 1/2*log(e^(-x) - 1)/a","A",0
57,1,90,0,0.314490," ","integrate(csch(x)^2/(a+a*sech(x)),x, algorithm=""maxima"")","-\frac{4 \, e^{\left(-x\right)}}{3 \, {\left(2 \, a e^{\left(-x\right)} - 2 \, a e^{\left(-3 \, x\right)} - a e^{\left(-4 \, x\right)} + a\right)}} - \frac{2 \, e^{\left(-2 \, x\right)}}{2 \, a e^{\left(-x\right)} - 2 \, a e^{\left(-3 \, x\right)} - a e^{\left(-4 \, x\right)} + a} - \frac{2}{3 \, {\left(2 \, a e^{\left(-x\right)} - 2 \, a e^{\left(-3 \, x\right)} - a e^{\left(-4 \, x\right)} + a\right)}}"," ",0,"-4/3*e^(-x)/(2*a*e^(-x) - 2*a*e^(-3*x) - a*e^(-4*x) + a) - 2*e^(-2*x)/(2*a*e^(-x) - 2*a*e^(-3*x) - a*e^(-4*x) + a) - 2/3/(2*a*e^(-x) - 2*a*e^(-3*x) - a*e^(-4*x) + a)","B",0
58,1,99,0,0.316447," ","integrate(csch(x)^3/(a+a*sech(x)),x, algorithm=""maxima"")","-\frac{e^{\left(-x\right)} + 2 \, e^{\left(-2 \, x\right)} + 10 \, e^{\left(-3 \, x\right)} + 2 \, e^{\left(-4 \, x\right)} + e^{\left(-5 \, x\right)}}{4 \, {\left(2 \, a e^{\left(-x\right)} - a e^{\left(-2 \, x\right)} - 4 \, a e^{\left(-3 \, x\right)} - a e^{\left(-4 \, x\right)} + 2 \, a e^{\left(-5 \, x\right)} + a e^{\left(-6 \, x\right)} + a\right)}} + \frac{\log\left(e^{\left(-x\right)} + 1\right)}{8 \, a} - \frac{\log\left(e^{\left(-x\right)} - 1\right)}{8 \, a}"," ",0,"-1/4*(e^(-x) + 2*e^(-2*x) + 10*e^(-3*x) + 2*e^(-4*x) + e^(-5*x))/(2*a*e^(-x) - a*e^(-2*x) - 4*a*e^(-3*x) - a*e^(-4*x) + 2*a*e^(-5*x) + a*e^(-6*x) + a) + 1/8*log(e^(-x) + 1)/a - 1/8*log(e^(-x) - 1)/a","B",0
59,1,292,0,0.316958," ","integrate(csch(x)^4/(a+a*sech(x)),x, algorithm=""maxima"")","\frac{8 \, e^{\left(-x\right)}}{15 \, {\left(2 \, a e^{\left(-x\right)} - 2 \, a e^{\left(-2 \, x\right)} - 6 \, a e^{\left(-3 \, x\right)} + 6 \, a e^{\left(-5 \, x\right)} + 2 \, a e^{\left(-6 \, x\right)} - 2 \, a e^{\left(-7 \, x\right)} - a e^{\left(-8 \, x\right)} + a\right)}} - \frac{8 \, e^{\left(-2 \, x\right)}}{15 \, {\left(2 \, a e^{\left(-x\right)} - 2 \, a e^{\left(-2 \, x\right)} - 6 \, a e^{\left(-3 \, x\right)} + 6 \, a e^{\left(-5 \, x\right)} + 2 \, a e^{\left(-6 \, x\right)} - 2 \, a e^{\left(-7 \, x\right)} - a e^{\left(-8 \, x\right)} + a\right)}} - \frac{8 \, e^{\left(-3 \, x\right)}}{5 \, {\left(2 \, a e^{\left(-x\right)} - 2 \, a e^{\left(-2 \, x\right)} - 6 \, a e^{\left(-3 \, x\right)} + 6 \, a e^{\left(-5 \, x\right)} + 2 \, a e^{\left(-6 \, x\right)} - 2 \, a e^{\left(-7 \, x\right)} - a e^{\left(-8 \, x\right)} + a\right)}} - \frac{4 \, e^{\left(-4 \, x\right)}}{2 \, a e^{\left(-x\right)} - 2 \, a e^{\left(-2 \, x\right)} - 6 \, a e^{\left(-3 \, x\right)} + 6 \, a e^{\left(-5 \, x\right)} + 2 \, a e^{\left(-6 \, x\right)} - 2 \, a e^{\left(-7 \, x\right)} - a e^{\left(-8 \, x\right)} + a} + \frac{4}{15 \, {\left(2 \, a e^{\left(-x\right)} - 2 \, a e^{\left(-2 \, x\right)} - 6 \, a e^{\left(-3 \, x\right)} + 6 \, a e^{\left(-5 \, x\right)} + 2 \, a e^{\left(-6 \, x\right)} - 2 \, a e^{\left(-7 \, x\right)} - a e^{\left(-8 \, x\right)} + a\right)}}"," ",0,"8/15*e^(-x)/(2*a*e^(-x) - 2*a*e^(-2*x) - 6*a*e^(-3*x) + 6*a*e^(-5*x) + 2*a*e^(-6*x) - 2*a*e^(-7*x) - a*e^(-8*x) + a) - 8/15*e^(-2*x)/(2*a*e^(-x) - 2*a*e^(-2*x) - 6*a*e^(-3*x) + 6*a*e^(-5*x) + 2*a*e^(-6*x) - 2*a*e^(-7*x) - a*e^(-8*x) + a) - 8/5*e^(-3*x)/(2*a*e^(-x) - 2*a*e^(-2*x) - 6*a*e^(-3*x) + 6*a*e^(-5*x) + 2*a*e^(-6*x) - 2*a*e^(-7*x) - a*e^(-8*x) + a) - 4*e^(-4*x)/(2*a*e^(-x) - 2*a*e^(-2*x) - 6*a*e^(-3*x) + 6*a*e^(-5*x) + 2*a*e^(-6*x) - 2*a*e^(-7*x) - a*e^(-8*x) + a) + 4/15/(2*a*e^(-x) - 2*a*e^(-2*x) - 6*a*e^(-3*x) + 6*a*e^(-5*x) + 2*a*e^(-6*x) - 2*a*e^(-7*x) - a*e^(-8*x) + a)","B",0
60,-2,0,0,0.000000," ","integrate(sinh(x)^4/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
61,1,128,0,0.320487," ","integrate(sinh(x)^3/(a+b*sech(x)),x, algorithm=""maxima"")","-\frac{{\left(3 \, a b e^{\left(-x\right)} - a^{2} + 3 \, {\left(3 \, a^{2} - 4 \, b^{2}\right)} e^{\left(-2 \, x\right)}\right)} e^{\left(3 \, x\right)}}{24 \, a^{3}} - \frac{3 \, a b e^{\left(-2 \, x\right)} - a^{2} e^{\left(-3 \, x\right)} + 3 \, {\left(3 \, a^{2} - 4 \, b^{2}\right)} e^{\left(-x\right)}}{24 \, a^{3}} + \frac{{\left(a^{2} b - b^{3}\right)} x}{a^{4}} + \frac{{\left(a^{2} b - b^{3}\right)} \log\left(2 \, b e^{\left(-x\right)} + a e^{\left(-2 \, x\right)} + a\right)}{a^{4}}"," ",0,"-1/24*(3*a*b*e^(-x) - a^2 + 3*(3*a^2 - 4*b^2)*e^(-2*x))*e^(3*x)/a^3 - 1/24*(3*a*b*e^(-2*x) - a^2*e^(-3*x) + 3*(3*a^2 - 4*b^2)*e^(-x))/a^3 + (a^2*b - b^3)*x/a^4 + (a^2*b - b^3)*log(2*b*e^(-x) + a*e^(-2*x) + a)/a^4","B",0
62,-2,0,0,0.000000," ","integrate(sinh(x)^2/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
63,1,46,0,0.314227," ","integrate(sinh(x)/(a+b*sech(x)),x, algorithm=""maxima"")","-\frac{b x}{a^{2}} + \frac{e^{\left(-x\right)}}{2 \, a} + \frac{e^{x}}{2 \, a} - \frac{b \log\left(2 \, b e^{\left(-x\right)} + a e^{\left(-2 \, x\right)} + a\right)}{a^{2}}"," ",0,"-b*x/a^2 + 1/2*e^(-x)/a + 1/2*e^x/a - b*log(2*b*e^(-x) + a*e^(-2*x) + a)/a^2","B",0
64,1,59,0,0.317815," ","integrate(csch(x)/(a+b*sech(x)),x, algorithm=""maxima"")","\frac{b \log\left(2 \, b e^{\left(-x\right)} + a e^{\left(-2 \, x\right)} + a\right)}{a^{2} - b^{2}} - \frac{\log\left(e^{\left(-x\right)} + 1\right)}{a - b} + \frac{\log\left(e^{\left(-x\right)} - 1\right)}{a + b}"," ",0,"b*log(2*b*e^(-x) + a*e^(-2*x) + a)/(a^2 - b^2) - log(e^(-x) + 1)/(a - b) + log(e^(-x) - 1)/(a + b)","A",0
65,-2,0,0,0.000000," ","integrate(csch(x)^2/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
66,1,148,0,0.336119," ","integrate(csch(x)^3/(a+b*sech(x)),x, algorithm=""maxima"")","-\frac{a^{2} b \log\left(2 \, b e^{\left(-x\right)} + a e^{\left(-2 \, x\right)} + a\right)}{a^{4} - 2 \, a^{2} b^{2} + b^{4}} + \frac{a \log\left(e^{\left(-x\right)} + 1\right)}{2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}} - \frac{a \log\left(e^{\left(-x\right)} - 1\right)}{2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} - \frac{a e^{\left(-x\right)} - 2 \, b e^{\left(-2 \, x\right)} + a e^{\left(-3 \, x\right)}}{a^{2} - b^{2} - 2 \, {\left(a^{2} - b^{2}\right)} e^{\left(-2 \, x\right)} + {\left(a^{2} - b^{2}\right)} e^{\left(-4 \, x\right)}}"," ",0,"-a^2*b*log(2*b*e^(-x) + a*e^(-2*x) + a)/(a^4 - 2*a^2*b^2 + b^4) + 1/2*a*log(e^(-x) + 1)/(a^2 - 2*a*b + b^2) - 1/2*a*log(e^(-x) - 1)/(a^2 + 2*a*b + b^2) - (a*e^(-x) - 2*b*e^(-2*x) + a*e^(-3*x))/(a^2 - b^2 - 2*(a^2 - b^2)*e^(-2*x) + (a^2 - b^2)*e^(-4*x))","A",0
67,-2,0,0,0.000000," ","integrate(csch(x)^4/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
68,1,80,0,0.319632," ","integrate(cosh(x)^4/(a+a*sech(x)),x, algorithm=""maxima"")","\frac{15 \, x}{8 \, a} + \frac{168 \, e^{\left(-x\right)} - 48 \, e^{\left(-2 \, x\right)} + 8 \, e^{\left(-3 \, x\right)} - 3 \, e^{\left(-4 \, x\right)}}{192 \, a} - \frac{5 \, e^{\left(-x\right)} - 40 \, e^{\left(-2 \, x\right)} + 120 \, e^{\left(-3 \, x\right)} + 552 \, e^{\left(-4 \, x\right)} - 3}{192 \, {\left(a e^{\left(-4 \, x\right)} + a e^{\left(-5 \, x\right)}\right)}}"," ",0,"15/8*x/a + 1/192*(168*e^(-x) - 48*e^(-2*x) + 8*e^(-3*x) - 3*e^(-4*x))/a - 1/192*(5*e^(-x) - 40*e^(-2*x) + 120*e^(-3*x) + 552*e^(-4*x) - 3)/(a*e^(-4*x) + a*e^(-5*x))","A",0
69,1,66,0,0.318883," ","integrate(cosh(x)^3/(a+a*sech(x)),x, algorithm=""maxima"")","-\frac{3 \, x}{2 \, a} - \frac{21 \, e^{\left(-x\right)} - 3 \, e^{\left(-2 \, x\right)} + e^{\left(-3 \, x\right)}}{24 \, a} - \frac{2 \, e^{\left(-x\right)} - 18 \, e^{\left(-2 \, x\right)} - 69 \, e^{\left(-3 \, x\right)} - 1}{24 \, {\left(a e^{\left(-3 \, x\right)} + a e^{\left(-4 \, x\right)}\right)}}"," ",0,"-3/2*x/a - 1/24*(21*e^(-x) - 3*e^(-2*x) + e^(-3*x))/a - 1/24*(2*e^(-x) - 18*e^(-2*x) - 69*e^(-3*x) - 1)/(a*e^(-3*x) + a*e^(-4*x))","A",0
70,1,56,0,0.317292," ","integrate(cosh(x)^2/(a+a*sech(x)),x, algorithm=""maxima"")","\frac{3 \, x}{2 \, a} + \frac{4 \, e^{\left(-x\right)} - e^{\left(-2 \, x\right)}}{8 \, a} - \frac{3 \, e^{\left(-x\right)} + 20 \, e^{\left(-2 \, x\right)} - 1}{8 \, {\left(a e^{\left(-2 \, x\right)} + a e^{\left(-3 \, x\right)}\right)}}"," ",0,"3/2*x/a + 1/8*(4*e^(-x) - e^(-2*x))/a - 1/8*(3*e^(-x) + 20*e^(-2*x) - 1)/(a*e^(-2*x) + a*e^(-3*x))","A",0
71,1,41,0,0.308643," ","integrate(cosh(x)/(a+a*sech(x)),x, algorithm=""maxima"")","-\frac{x}{a} + \frac{5 \, e^{\left(-x\right)} + 1}{2 \, {\left(a e^{\left(-x\right)} + a e^{\left(-2 \, x\right)}\right)}} - \frac{e^{\left(-x\right)}}{2 \, a}"," ",0,"-x/a + 1/2*(5*e^(-x) + 1)/(a*e^(-x) + a*e^(-2*x)) - 1/2*e^(-x)/a","A",0
72,1,12,0,0.328710," ","integrate(sech(x)/(a+a*sech(x)),x, algorithm=""maxima"")","\frac{2}{a e^{\left(-x\right)} + a}"," ",0,"2/(a*e^(-x) + a)","A",0
73,1,23,0,0.448069," ","integrate(sech(x)^2/(a+a*sech(x)),x, algorithm=""maxima"")","-\frac{2 \, \arctan\left(e^{\left(-x\right)}\right)}{a} - \frac{2}{a e^{\left(-x\right)} + a}"," ",0,"-2*arctan(e^(-x))/a - 2/(a*e^(-x) + a)","A",0
74,1,45,0,0.415514," ","integrate(sech(x)^3/(a+a*sech(x)),x, algorithm=""maxima"")","\frac{2 \, {\left(e^{\left(-x\right)} + e^{\left(-2 \, x\right)} + 2\right)}}{a e^{\left(-x\right)} + a e^{\left(-2 \, x\right)} + a e^{\left(-3 \, x\right)} + a} + \frac{2 \, \arctan\left(e^{\left(-x\right)}\right)}{a}"," ",0,"2*(e^(-x) + e^(-2*x) + 2)/(a*e^(-x) + a*e^(-2*x) + a*e^(-3*x) + a) + 2*arctan(e^(-x))/a","A",0
75,1,73,0,0.412669," ","integrate(sech(x)^4/(a+a*sech(x)),x, algorithm=""maxima"")","-\frac{e^{\left(-x\right)} + 5 \, e^{\left(-2 \, x\right)} + 3 \, e^{\left(-3 \, x\right)} + 3 \, e^{\left(-4 \, x\right)} + 4}{a e^{\left(-x\right)} + 2 \, a e^{\left(-2 \, x\right)} + 2 \, a e^{\left(-3 \, x\right)} + a e^{\left(-4 \, x\right)} + a e^{\left(-5 \, x\right)} + a} - \frac{3 \, \arctan\left(e^{\left(-x\right)}\right)}{a}"," ",0,"-(e^(-x) + 5*e^(-2*x) + 3*e^(-3*x) + 3*e^(-4*x) + 4)/(a*e^(-x) + 2*a*e^(-2*x) + 2*a*e^(-3*x) + a*e^(-4*x) + a*e^(-5*x) + a) - 3*arctan(e^(-x))/a","A",0
76,1,33,0,0.312344," ","integrate(1/(a+a*sech(d*x+c)),x, algorithm=""maxima"")","\frac{d x + c}{a d} - \frac{2}{{\left(a e^{\left(-d x - c\right)} + a\right)} d}"," ",0,"(d*x + c)/(a*d) - 2/((a*e^(-d*x - c) + a)*d)","A",0
77,1,35,0,0.314696," ","integrate(1/(a-a*sech(d*x+c)),x, algorithm=""maxima"")","\frac{d x + c}{a d} + \frac{2}{{\left(a e^{\left(-d x - c\right)} - a\right)} d}"," ",0,"(d*x + c)/(a*d) + 2/((a*e^(-d*x - c) - a)*d)","A",0
78,0,0,0,0.000000," ","integrate((a+a*sech(d*x+c))^(5/2),x, algorithm=""maxima"")","\int {\left(a \operatorname{sech}\left(d x + c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((a*sech(d*x + c) + a)^(5/2), x)","F",0
79,0,0,0,0.000000," ","integrate((a+a*sech(d*x+c))^(3/2),x, algorithm=""maxima"")","\int {\left(a \operatorname{sech}\left(d x + c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a*sech(d*x + c) + a)^(3/2), x)","F",0
80,0,0,0,0.000000," ","integrate((a+a*sech(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{a \operatorname{sech}\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(sqrt(a*sech(d*x + c) + a), x)","F",0
81,0,0,0,0.000000," ","integrate(1/(a+a*sech(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a \operatorname{sech}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(a*sech(d*x + c) + a), x)","F",0
82,0,0,0,0.000000," ","integrate(1/(a+a*sech(d*x+c))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(a \operatorname{sech}\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sech(d*x + c) + a)^(-3/2), x)","F",0
83,0,0,0,0.000000," ","integrate((a-a*sech(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \sqrt{-a \operatorname{sech}\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(sqrt(-a*sech(d*x + c) + a), x)","F",0
84,0,0,0,0.000000," ","integrate(1/(a-a*sech(d*x+c))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-a \operatorname{sech}\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(-a*sech(d*x + c) + a), x)","F",0
85,0,0,0,0.000000," ","integrate((3+3*sech(x))^(1/2),x, algorithm=""maxima"")","\int \sqrt{3 \, \operatorname{sech}\left(x\right) + 3}\,{d x}"," ",0,"integrate(sqrt(3*sech(x) + 3), x)","F",0
86,0,0,0,0.000000," ","integrate((3-3*sech(x))^(1/2),x, algorithm=""maxima"")","\int \sqrt{-3 \, \operatorname{sech}\left(x\right) + 3}\,{d x}"," ",0,"integrate(sqrt(-3*sech(x) + 3), x)","F",0
87,1,211,0,0.924150," ","integrate((a+b*sech(d*x+c))^4,x, algorithm=""maxima"")","a^{4} x - 4 \, a b^{3} {\left(\frac{\arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{e^{\left(-d x - c\right)} - e^{\left(-3 \, d x - 3 \, c\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} + e^{\left(-4 \, d x - 4 \, c\right)} + 1\right)}}\right)} + \frac{4}{3} \, b^{4} {\left(\frac{3 \, e^{\left(-2 \, d x - 2 \, c\right)}}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}} + \frac{1}{d {\left(3 \, e^{\left(-2 \, d x - 2 \, c\right)} + 3 \, e^{\left(-4 \, d x - 4 \, c\right)} + e^{\left(-6 \, d x - 6 \, c\right)} + 1\right)}}\right)} + \frac{4 \, a^{3} b \arctan\left(\sinh\left(d x + c\right)\right)}{d} + \frac{12 \, a^{2} b^{2}}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}}"," ",0,"a^4*x - 4*a*b^3*(arctan(e^(-d*x - c))/d - (e^(-d*x - c) - e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) + e^(-4*d*x - 4*c) + 1))) + 4/3*b^4*(3*e^(-2*d*x - 2*c)/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1)) + 1/(d*(3*e^(-2*d*x - 2*c) + 3*e^(-4*d*x - 4*c) + e^(-6*d*x - 6*c) + 1))) + 4*a^3*b*arctan(sinh(d*x + c))/d + 12*a^2*b^2/(d*(e^(-2*d*x - 2*c) + 1))","B",0
88,1,114,0,0.502970," ","integrate((a+b*sech(d*x+c))^3,x, algorithm=""maxima"")","a^{3} x - b^{3} {\left(\frac{\arctan\left(e^{\left(-d x - c\right)}\right)}{d} - \frac{e^{\left(-d x - c\right)} - e^{\left(-3 \, d x - 3 \, c\right)}}{d {\left(2 \, e^{\left(-2 \, d x - 2 \, c\right)} + e^{\left(-4 \, d x - 4 \, c\right)} + 1\right)}}\right)} + \frac{3 \, a^{2} b \arctan\left(\sinh\left(d x + c\right)\right)}{d} + \frac{6 \, a b^{2}}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}}"," ",0,"a^3*x - b^3*(arctan(e^(-d*x - c))/d - (e^(-d*x - c) - e^(-3*d*x - 3*c))/(d*(2*e^(-2*d*x - 2*c) + e^(-4*d*x - 4*c) + 1))) + 3*a^2*b*arctan(sinh(d*x + c))/d + 6*a*b^2/(d*(e^(-2*d*x - 2*c) + 1))","A",0
89,1,41,0,0.307044," ","integrate((a+b*sech(d*x+c))^2,x, algorithm=""maxima"")","a^{2} x + \frac{2 \, a b \arctan\left(\sinh\left(d x + c\right)\right)}{d} + \frac{2 \, b^{2}}{d {\left(e^{\left(-2 \, d x - 2 \, c\right)} + 1\right)}}"," ",0,"a^2*x + 2*a*b*arctan(sinh(d*x + c))/d + 2*b^2/(d*(e^(-2*d*x - 2*c) + 1))","A",0
90,1,16,0,1.184845," ","integrate(a+b*sech(d*x+c),x, algorithm=""maxima"")","a x + \frac{b \arctan\left(\sinh\left(d x + c\right)\right)}{d}"," ",0,"a*x + b*arctan(sinh(d*x + c))/d","A",0
91,-2,0,0,0.000000," ","integrate(1/(a+b*sech(d*x+c)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
92,-2,0,0,0.000000," ","integrate(1/(a+b*sech(d*x+c))^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
93,-2,0,0,0.000000," ","integrate(1/(a+b*sech(d*x+c))^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
94,0,0,0,0.000000," ","integrate(1/(a+b*sech(d*x+c))^(1/2),x, algorithm=""maxima"")","\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,-2,0,0,0.000000," ","integrate(cosh(x)^4/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
96,-2,0,0,0.000000," ","integrate(cosh(x)^3/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
97,-2,0,0,0.000000," ","integrate(cosh(x)^2/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
98,-2,0,0,0.000000," ","integrate(cosh(x)/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
99,-2,0,0,0.000000," ","integrate(sech(x)/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
100,-2,0,0,0.000000," ","integrate(sech(x)^2/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
101,-2,0,0,0.000000," ","integrate(sech(x)^3/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
102,-2,0,0,0.000000," ","integrate(sech(x)^4/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
103,1,93,0,0.541426," ","integrate(tanh(x)^6/(a+a*sech(x)),x, algorithm=""maxima"")","\frac{x}{a} + \frac{15 \, e^{\left(-x\right)} - 80 \, e^{\left(-2 \, x\right)} - 9 \, e^{\left(-3 \, x\right)} - 96 \, e^{\left(-4 \, x\right)} + 9 \, e^{\left(-5 \, x\right)} - 48 \, e^{\left(-6 \, x\right)} - 15 \, e^{\left(-7 \, x\right)} - 32}{12 \, {\left(4 \, a e^{\left(-2 \, x\right)} + 6 \, a e^{\left(-4 \, x\right)} + 4 \, a e^{\left(-6 \, x\right)} + a e^{\left(-8 \, x\right)} + a\right)}} + \frac{3 \, \arctan\left(e^{\left(-x\right)}\right)}{4 \, a}"," ",0,"x/a + 1/12*(15*e^(-x) - 80*e^(-2*x) - 9*e^(-3*x) - 96*e^(-4*x) + 9*e^(-5*x) - 48*e^(-6*x) - 15*e^(-7*x) - 32)/(4*a*e^(-2*x) + 6*a*e^(-4*x) + 4*a*e^(-6*x) + a*e^(-8*x) + a) + 3/4*arctan(e^(-x))/a","B",0
104,1,74,0,0.468760," ","integrate(tanh(x)^5/(a+a*sech(x)),x, algorithm=""maxima"")","\frac{x}{a} + \frac{2 \, {\left(3 \, e^{\left(-x\right)} + 3 \, e^{\left(-2 \, x\right)} + 2 \, e^{\left(-3 \, x\right)} + 3 \, e^{\left(-4 \, x\right)} + 3 \, e^{\left(-5 \, x\right)}\right)}}{3 \, {\left(3 \, a e^{\left(-2 \, x\right)} + 3 \, a e^{\left(-4 \, x\right)} + a e^{\left(-6 \, x\right)} + a\right)}} + \frac{\log\left(e^{\left(-2 \, x\right)} + 1\right)}{a}"," ",0,"x/a + 2/3*(3*e^(-x) + 3*e^(-2*x) + 2*e^(-3*x) + 3*e^(-4*x) + 3*e^(-5*x))/(3*a*e^(-2*x) + 3*a*e^(-4*x) + a*e^(-6*x) + a) + log(e^(-2*x) + 1)/a","B",0
105,1,51,0,0.513458," ","integrate(tanh(x)^4/(a+a*sech(x)),x, algorithm=""maxima"")","\frac{x}{a} + \frac{e^{\left(-x\right)} - 2 \, e^{\left(-2 \, x\right)} - e^{\left(-3 \, x\right)} - 2}{2 \, a e^{\left(-2 \, x\right)} + a e^{\left(-4 \, x\right)} + a} + \frac{\arctan\left(e^{\left(-x\right)}\right)}{a}"," ",0,"x/a + (e^(-x) - 2*e^(-2*x) - e^(-3*x) - 2)/(2*a*e^(-2*x) + a*e^(-4*x) + a) + arctan(e^(-x))/a","B",0
106,1,33,0,0.705689," ","integrate(tanh(x)^3/(a+a*sech(x)),x, algorithm=""maxima"")","\frac{x}{a} + \frac{2 \, e^{\left(-x\right)}}{a e^{\left(-2 \, x\right)} + a} + \frac{\log\left(e^{\left(-2 \, x\right)} + 1\right)}{a}"," ",0,"x/a + 2*e^(-x)/(a*e^(-2*x) + a) + log(e^(-2*x) + 1)/a","B",0
107,1,16,0,0.532419," ","integrate(tanh(x)^2/(a+a*sech(x)),x, algorithm=""maxima"")","\frac{x}{a} + \frac{2 \, \arctan\left(e^{\left(-x\right)}\right)}{a}"," ",0,"x/a + 2*arctan(e^(-x))/a","A",0
108,1,18,0,0.342279," ","integrate(tanh(x)/(a+a*sech(x)),x, algorithm=""maxima"")","\frac{x}{a} + \frac{2 \, \log\left(e^{\left(-x\right)} + 1\right)}{a}"," ",0,"x/a + 2*log(e^(-x) + 1)/a","A",0
109,1,52,0,0.487078," ","integrate(coth(x)/(a+a*sech(x)),x, algorithm=""maxima"")","\frac{x}{a} + \frac{e^{\left(-x\right)}}{2 \, a e^{\left(-x\right)} + a e^{\left(-2 \, x\right)} + a} + \frac{3 \, \log\left(e^{\left(-x\right)} + 1\right)}{2 \, a} + \frac{\log\left(e^{\left(-x\right)} - 1\right)}{2 \, a}"," ",0,"x/a + e^(-x)/(2*a*e^(-x) + a*e^(-2*x) + a) + 3/2*log(e^(-x) + 1)/a + 1/2*log(e^(-x) - 1)/a","A",0
110,1,47,0,0.364169," ","integrate(coth(x)^2/(a+a*sech(x)),x, algorithm=""maxima"")","\frac{x}{a} - \frac{2 \, {\left(5 \, e^{\left(-x\right)} - 3 \, e^{\left(-3 \, x\right)} + 4\right)}}{3 \, {\left(2 \, a e^{\left(-x\right)} - 2 \, a e^{\left(-3 \, x\right)} - a e^{\left(-4 \, x\right)} + a\right)}}"," ",0,"x/a - 2/3*(5*e^(-x) - 3*e^(-3*x) + 4)/(2*a*e^(-x) - 2*a*e^(-3*x) - a*e^(-4*x) + a)","A",0
111,1,108,0,0.478403," ","integrate(coth(x)^3/(a+a*sech(x)),x, algorithm=""maxima"")","\frac{x}{a} + \frac{5 \, e^{\left(-x\right)} - 6 \, e^{\left(-2 \, x\right)} - 14 \, e^{\left(-3 \, x\right)} - 6 \, e^{\left(-4 \, x\right)} + 5 \, e^{\left(-5 \, x\right)}}{4 \, {\left(2 \, a e^{\left(-x\right)} - a e^{\left(-2 \, x\right)} - 4 \, a e^{\left(-3 \, x\right)} - a e^{\left(-4 \, x\right)} + 2 \, a e^{\left(-5 \, x\right)} + a e^{\left(-6 \, x\right)} + a\right)}} + \frac{11 \, \log\left(e^{\left(-x\right)} + 1\right)}{8 \, a} + \frac{5 \, \log\left(e^{\left(-x\right)} - 1\right)}{8 \, a}"," ",0,"x/a + 1/4*(5*e^(-x) - 6*e^(-2*x) - 14*e^(-3*x) - 6*e^(-4*x) + 5*e^(-5*x))/(2*a*e^(-x) - a*e^(-2*x) - 4*a*e^(-3*x) - a*e^(-4*x) + 2*a*e^(-5*x) + a*e^(-6*x) + a) + 11/8*log(e^(-x) + 1)/a + 5/8*log(e^(-x) - 1)/a","A",0
112,1,105,0,0.351578," ","integrate(coth(x)^4/(a+a*sech(x)),x, algorithm=""maxima"")","\frac{x}{a} - \frac{2 \, {\left(31 \, e^{\left(-x\right)} - 31 \, e^{\left(-2 \, x\right)} - 73 \, e^{\left(-3 \, x\right)} + 25 \, e^{\left(-4 \, x\right)} + 65 \, e^{\left(-5 \, x\right)} + 15 \, e^{\left(-6 \, x\right)} - 15 \, e^{\left(-7 \, x\right)} + 23\right)}}{15 \, {\left(2 \, a e^{\left(-x\right)} - 2 \, a e^{\left(-2 \, x\right)} - 6 \, a e^{\left(-3 \, x\right)} + 6 \, a e^{\left(-5 \, x\right)} + 2 \, a e^{\left(-6 \, x\right)} - 2 \, a e^{\left(-7 \, x\right)} - a e^{\left(-8 \, x\right)} + a\right)}}"," ",0,"x/a - 2/15*(31*e^(-x) - 31*e^(-2*x) - 73*e^(-3*x) + 25*e^(-4*x) + 65*e^(-5*x) + 15*e^(-6*x) - 15*e^(-7*x) + 23)/(2*a*e^(-x) - 2*a*e^(-2*x) - 6*a*e^(-3*x) + 6*a*e^(-5*x) + 2*a*e^(-6*x) - 2*a*e^(-7*x) - a*e^(-8*x) + a)","B",0
113,1,332,0,0.584293," ","integrate(tanh(x)^7/(a+b*sech(x)),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, {\left(a^{4} - 3 \, a^{2} b^{2} + 3 \, b^{4}\right)} e^{\left(-x\right)} - 15 \, {\left(a^{3} b - 3 \, a b^{3}\right)} e^{\left(-2 \, x\right)} + 20 \, {\left(3 \, a^{4} - 8 \, a^{2} b^{2} + 6 \, b^{4}\right)} e^{\left(-3 \, x\right)} - 15 \, {\left(3 \, a^{3} b - 7 \, a b^{3}\right)} e^{\left(-4 \, x\right)} + 2 \, {\left(45 \, a^{4} - 115 \, a^{2} b^{2} + 99 \, b^{4}\right)} e^{\left(-5 \, x\right)} - 15 \, {\left(3 \, a^{3} b - 7 \, a b^{3}\right)} e^{\left(-6 \, x\right)} + 20 \, {\left(3 \, a^{4} - 8 \, a^{2} b^{2} + 6 \, b^{4}\right)} e^{\left(-7 \, x\right)} - 15 \, {\left(a^{3} b - 3 \, a b^{3}\right)} e^{\left(-8 \, x\right)} + 15 \, {\left(a^{4} - 3 \, a^{2} b^{2} + 3 \, b^{4}\right)} e^{\left(-9 \, x\right)}\right)}}{15 \, {\left(5 \, b^{5} e^{\left(-2 \, x\right)} + 10 \, b^{5} e^{\left(-4 \, x\right)} + 10 \, b^{5} e^{\left(-6 \, x\right)} + 5 \, b^{5} e^{\left(-8 \, x\right)} + b^{5} e^{\left(-10 \, x\right)} + b^{5}\right)}} + \frac{x}{a} + \frac{{\left(a^{5} - 3 \, a^{3} b^{2} + 3 \, a b^{4}\right)} \log\left(e^{\left(-2 \, x\right)} + 1\right)}{b^{6}} - \frac{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \log\left(2 \, b e^{\left(-x\right)} + a e^{\left(-2 \, x\right)} + a\right)}{a b^{6}}"," ",0,"2/15*(15*(a^4 - 3*a^2*b^2 + 3*b^4)*e^(-x) - 15*(a^3*b - 3*a*b^3)*e^(-2*x) + 20*(3*a^4 - 8*a^2*b^2 + 6*b^4)*e^(-3*x) - 15*(3*a^3*b - 7*a*b^3)*e^(-4*x) + 2*(45*a^4 - 115*a^2*b^2 + 99*b^4)*e^(-5*x) - 15*(3*a^3*b - 7*a*b^3)*e^(-6*x) + 20*(3*a^4 - 8*a^2*b^2 + 6*b^4)*e^(-7*x) - 15*(a^3*b - 3*a*b^3)*e^(-8*x) + 15*(a^4 - 3*a^2*b^2 + 3*b^4)*e^(-9*x))/(5*b^5*e^(-2*x) + 10*b^5*e^(-4*x) + 10*b^5*e^(-6*x) + 5*b^5*e^(-8*x) + b^5*e^(-10*x) + b^5) + x/a + (a^5 - 3*a^3*b^2 + 3*a*b^4)*log(e^(-2*x) + 1)/b^6 - (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*log(2*b*e^(-x) + a*e^(-2*x) + a)/(a*b^6)","B",0
114,-2,0,0,0.000000," ","integrate(tanh(x)^6/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
115,1,164,0,0.485981," ","integrate(tanh(x)^5/(a+b*sech(x)),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, a b e^{\left(-2 \, x\right)} + 3 \, a b e^{\left(-4 \, x\right)} - 3 \, {\left(a^{2} - 2 \, b^{2}\right)} e^{\left(-x\right)} - 2 \, {\left(3 \, a^{2} - 4 \, b^{2}\right)} e^{\left(-3 \, x\right)} - 3 \, {\left(a^{2} - 2 \, b^{2}\right)} e^{\left(-5 \, x\right)}\right)}}{3 \, {\left(3 \, b^{3} e^{\left(-2 \, x\right)} + 3 \, b^{3} e^{\left(-4 \, x\right)} + b^{3} e^{\left(-6 \, x\right)} + b^{3}\right)}} + \frac{x}{a} - \frac{{\left(a^{3} - 2 \, a b^{2}\right)} \log\left(e^{\left(-2 \, x\right)} + 1\right)}{b^{4}} + \frac{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \log\left(2 \, b e^{\left(-x\right)} + a e^{\left(-2 \, x\right)} + a\right)}{a b^{4}}"," ",0,"2/3*(3*a*b*e^(-2*x) + 3*a*b*e^(-4*x) - 3*(a^2 - 2*b^2)*e^(-x) - 2*(3*a^2 - 4*b^2)*e^(-3*x) - 3*(a^2 - 2*b^2)*e^(-5*x))/(3*b^3*e^(-2*x) + 3*b^3*e^(-4*x) + b^3*e^(-6*x) + b^3) + x/a - (a^3 - 2*a*b^2)*log(e^(-2*x) + 1)/b^4 + (a^4 - 2*a^2*b^2 + b^4)*log(2*b*e^(-x) + a*e^(-2*x) + a)/(a*b^4)","B",0
116,-2,0,0,0.000000," ","integrate(tanh(x)^4/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
117,1,67,0,0.437562," ","integrate(tanh(x)^3/(a+b*sech(x)),x, algorithm=""maxima"")","\frac{x}{a} + \frac{2 \, e^{\left(-x\right)}}{b e^{\left(-2 \, x\right)} + b} + \frac{a \log\left(e^{\left(-2 \, x\right)} + 1\right)}{b^{2}} - \frac{{\left(a^{2} - b^{2}\right)} \log\left(2 \, b e^{\left(-x\right)} + a e^{\left(-2 \, x\right)} + a\right)}{a b^{2}}"," ",0,"x/a + 2*e^(-x)/(b*e^(-2*x) + b) + a*log(e^(-2*x) + 1)/b^2 - (a^2 - b^2)*log(2*b*e^(-x) + a*e^(-2*x) + a)/(a*b^2)","A",0
118,-2,0,0,0.000000," ","integrate(tanh(x)^2/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
119,1,26,0,0.311163," ","integrate(tanh(x)/(a+b*sech(x)),x, algorithm=""maxima"")","\frac{x}{a} + \frac{\log\left(2 \, b e^{\left(-x\right)} + a e^{\left(-2 \, x\right)} + a\right)}{a}"," ",0,"x/a + log(2*b*e^(-x) + a*e^(-2*x) + a)/a","A",0
120,1,67,0,0.470996," ","integrate(coth(x)/(a+b*sech(x)),x, algorithm=""maxima"")","-\frac{b^{2} \log\left(2 \, b e^{\left(-x\right)} + a e^{\left(-2 \, x\right)} + a\right)}{a^{3} - a b^{2}} + \frac{x}{a} + \frac{\log\left(e^{\left(-x\right)} + 1\right)}{a - b} + \frac{\log\left(e^{\left(-x\right)} - 1\right)}{a + b}"," ",0,"-b^2*log(2*b*e^(-x) + a*e^(-2*x) + a)/(a^3 - a*b^2) + x/a + log(e^(-x) + 1)/(a - b) + log(e^(-x) - 1)/(a + b)","A",0
121,-2,0,0,0.000000," ","integrate(coth(x)^2/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
122,1,164,0,0.488931," ","integrate(coth(x)^3/(a+b*sech(x)),x, algorithm=""maxima"")","\frac{b^{4} \log\left(2 \, b e^{\left(-x\right)} + a e^{\left(-2 \, x\right)} + a\right)}{a^{5} - 2 \, a^{3} b^{2} + a b^{4}} + \frac{{\left(2 \, a - 3 \, b\right)} \log\left(e^{\left(-x\right)} + 1\right)}{2 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}} + \frac{{\left(2 \, a + 3 \, b\right)} \log\left(e^{\left(-x\right)} - 1\right)}{2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} + \frac{b e^{\left(-x\right)} - 2 \, a e^{\left(-2 \, x\right)} + b e^{\left(-3 \, x\right)}}{a^{2} - b^{2} - 2 \, {\left(a^{2} - b^{2}\right)} e^{\left(-2 \, x\right)} + {\left(a^{2} - b^{2}\right)} e^{\left(-4 \, x\right)}} + \frac{x}{a}"," ",0,"b^4*log(2*b*e^(-x) + a*e^(-2*x) + a)/(a^5 - 2*a^3*b^2 + a*b^4) + 1/2*(2*a - 3*b)*log(e^(-x) + 1)/(a^2 - 2*a*b + b^2) + 1/2*(2*a + 3*b)*log(e^(-x) - 1)/(a^2 + 2*a*b + b^2) + (b*e^(-x) - 2*a*e^(-2*x) + b*e^(-3*x))/(a^2 - b^2 - 2*(a^2 - b^2)*e^(-2*x) + (a^2 - b^2)*e^(-4*x)) + x/a","A",0
123,-2,0,0,0.000000," ","integrate(coth(x)^4/(a+b*sech(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b^2-4*a^2>0)', see `assume?` for more details)Is 4*b^2-4*a^2 positive or negative?","F(-2)",0
124,1,366,0,0.365996," ","integrate(coth(x)^5/(a+b*sech(x)),x, algorithm=""maxima"")","-\frac{b^{6} \log\left(2 \, b e^{\left(-x\right)} + a e^{\left(-2 \, x\right)} + a\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)} + 1\right)}{8 \, {\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)} - 1\right)}{8 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)}} + \frac{{\left(5 \, a^{2} b - 9 \, b^{3}\right)} e^{\left(-x\right)} - 8 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} e^{\left(-2 \, x\right)} + {\left(3 \, a^{2} b + b^{3}\right)} e^{\left(-3 \, x\right)} + 16 \, {\left(a^{3} - 2 \, a b^{2}\right)} e^{\left(-4 \, x\right)} + {\left(3 \, a^{2} b + b^{3}\right)} e^{\left(-5 \, x\right)} - 8 \, {\left(2 \, a^{3} - 3 \, a b^{2}\right)} e^{\left(-6 \, x\right)} + {\left(5 \, a^{2} b - 9 \, b^{3}\right)} e^{\left(-7 \, x\right)}}{4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4} - 4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-2 \, x\right)} + 6 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-4 \, x\right)} - 4 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-6 \, x\right)} + {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-8 \, x\right)}\right)}} + \frac{x}{a}"," ",0,"-b^6*log(2*b*e^(-x) + a*e^(-2*x) + a)/(a^7 - 3*a^5*b^2 + 3*a^3*b^4 - a*b^6) + 1/8*(8*a^2 - 21*a*b + 15*b^2)*log(e^(-x) + 1)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + 1/8*(8*a^2 + 21*a*b + 15*b^2)*log(e^(-x) - 1)/(a^3 + 3*a^2*b + 3*a*b^2 + b^3) + 1/4*((5*a^2*b - 9*b^3)*e^(-x) - 8*(2*a^3 - 3*a*b^2)*e^(-2*x) + (3*a^2*b + b^3)*e^(-3*x) + 16*(a^3 - 2*a*b^2)*e^(-4*x) + (3*a^2*b + b^3)*e^(-5*x) - 8*(2*a^3 - 3*a*b^2)*e^(-6*x) + (5*a^2*b - 9*b^3)*e^(-7*x))/(a^4 - 2*a^2*b^2 + b^4 - 4*(a^4 - 2*a^2*b^2 + b^4)*e^(-2*x) + 6*(a^4 - 2*a^2*b^2 + b^4)*e^(-4*x) - 4*(a^4 - 2*a^2*b^2 + b^4)*e^(-6*x) + (a^4 - 2*a^2*b^2 + b^4)*e^(-8*x)) + x/a","B",0
125,0,0,0,0.000000," ","integrate((a+b*sech(d*x+c))^(1/2)*tanh(d*x+c)^5,x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
151,1,386,0,0.320313," ","integrate(exp(c*(b*x+a))*(sech(b*c*x+a*c)^2)^(7/2),x, algorithm=""maxima"")","-\frac{64 \, e^{\left(6 \, b c x + 6 \, a c\right)}}{3 \, b c {\left(e^{\left(12 \, b c x + 12 \, a c\right)} + 6 \, e^{\left(10 \, b c x + 10 \, a c\right)} + 15 \, e^{\left(8 \, b c x + 8 \, a c\right)} + 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)}} - \frac{16 \, e^{\left(4 \, b c x + 4 \, a c\right)}}{b c {\left(e^{\left(12 \, b c x + 12 \, a c\right)} + 6 \, e^{\left(10 \, b c x + 10 \, a c\right)} + 15 \, e^{\left(8 \, b c x + 8 \, a c\right)} + 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)}} - \frac{32 \, e^{\left(2 \, b c x + 2 \, a c\right)}}{5 \, b c {\left(e^{\left(12 \, b c x + 12 \, a c\right)} + 6 \, e^{\left(10 \, b c x + 10 \, a c\right)} + 15 \, e^{\left(8 \, b c x + 8 \, a c\right)} + 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)}} - \frac{16}{15 \, b c {\left(e^{\left(12 \, b c x + 12 \, a c\right)} + 6 \, e^{\left(10 \, b c x + 10 \, a c\right)} + 15 \, e^{\left(8 \, b c x + 8 \, a c\right)} + 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)}}"," ",0,"-64/3*e^(6*b*c*x + 6*a*c)/(b*c*(e^(12*b*c*x + 12*a*c) + 6*e^(10*b*c*x + 10*a*c) + 15*e^(8*b*c*x + 8*a*c) + 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)) - 16*e^(4*b*c*x + 4*a*c)/(b*c*(e^(12*b*c*x + 12*a*c) + 6*e^(10*b*c*x + 10*a*c) + 15*e^(8*b*c*x + 8*a*c) + 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)) - 32/5*e^(2*b*c*x + 2*a*c)/(b*c*(e^(12*b*c*x + 12*a*c) + 6*e^(10*b*c*x + 10*a*c) + 15*e^(8*b*c*x + 8*a*c) + 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)) - 16/15/(b*c*(e^(12*b*c*x + 12*a*c) + 6*e^(10*b*c*x + 10*a*c) + 15*e^(8*b*c*x + 8*a*c) + 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",0
152,1,209,0,0.320498," ","integrate(exp(c*(b*x+a))*(sech(b*c*x+a*c)^2)^(5/2),x, algorithm=""maxima"")","-\frac{8 \, e^{\left(4 \, b c x + 4 \, a c\right)}}{b c {\left(e^{\left(8 \, b c x + 8 \, a c\right)} + 4 \, e^{\left(6 \, b c x + 6 \, a c\right)} + 6 \, e^{\left(4 \, b c x + 4 \, a c\right)} + 4 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}} - \frac{16 \, e^{\left(2 \, b c x + 2 \, a c\right)}}{3 \, b c {\left(e^{\left(8 \, b c x + 8 \, a c\right)} + 4 \, e^{\left(6 \, b c x + 6 \, a c\right)} + 6 \, e^{\left(4 \, b c x + 4 \, a c\right)} + 4 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}} - \frac{4}{3 \, b c {\left(e^{\left(8 \, b c x + 8 \, a c\right)} + 4 \, e^{\left(6 \, b c x + 6 \, a c\right)} + 6 \, e^{\left(4 \, b c x + 4 \, a c\right)} + 4 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}}"," ",0,"-8*e^(4*b*c*x + 4*a*c)/(b*c*(e^(8*b*c*x + 8*a*c) + 4*e^(6*b*c*x + 6*a*c) + 6*e^(4*b*c*x + 4*a*c) + 4*e^(2*b*c*x + 2*a*c) + 1)) - 16/3*e^(2*b*c*x + 2*a*c)/(b*c*(e^(8*b*c*x + 8*a*c) + 4*e^(6*b*c*x + 6*a*c) + 6*e^(4*b*c*x + 4*a*c) + 4*e^(2*b*c*x + 2*a*c) + 1)) - 4/3/(b*c*(e^(8*b*c*x + 8*a*c) + 4*e^(6*b*c*x + 6*a*c) + 6*e^(4*b*c*x + 4*a*c) + 4*e^(2*b*c*x + 2*a*c) + 1))","A",0
153,1,84,0,0.321133," ","integrate(exp(c*(b*x+a))*(sech(b*c*x+a*c)^2)^(3/2),x, algorithm=""maxima"")","-\frac{4 \, e^{\left(2 \, b c x + 2 \, a c\right)}}{b c {\left(e^{\left(4 \, b c x + 4 \, a c\right)} + 2 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}} - \frac{2}{b c {\left(e^{\left(4 \, b c x + 4 \, a c\right)} + 2 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}}"," ",0,"-4*e^(2*b*c*x + 2*a*c)/(b*c*(e^(4*b*c*x + 4*a*c) + 2*e^(2*b*c*x + 2*a*c) + 1)) - 2/(b*c*(e^(4*b*c*x + 4*a*c) + 2*e^(2*b*c*x + 2*a*c) + 1))","A",0
154,1,21,0,0.406647," ","integrate(exp(c*(b*x+a))*(sech(b*c*x+a*c)^2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}{b c}"," ",0,"log(e^(2*b*c*x + 2*a*c) + 1)/(b*c)","A",0
155,1,29,0,0.319771," ","integrate(exp(c*(b*x+a))/(sech(b*c*x+a*c)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, x + \frac{a}{2 \, b} + \frac{e^{\left(2 \, b c x + 2 \, a c\right)}}{4 \, b c}"," ",0,"1/2*x + 1/2*a/b + 1/4*e^(2*b*c*x + 2*a*c)/(b*c)","A",0
156,1,74,0,0.316741," ","integrate(exp(c*(b*x+a))/(sech(b*c*x+a*c)^2)^(3/2),x, algorithm=""maxima"")","\frac{3 \, {\left(b c x + a c\right)}}{8 \, b c} + \frac{e^{\left(4 \, b c x + 4 \, a c\right)}}{32 \, b c} + \frac{3 \, e^{\left(2 \, b c x + 2 \, a c\right)}}{16 \, b c} - \frac{e^{\left(-2 \, b c x - 2 \, a c\right)}}{16 \, b c}"," ",0,"3/8*(b*c*x + a*c)/(b*c) + 1/32*e^(4*b*c*x + 4*a*c)/(b*c) + 3/16*e^(2*b*c*x + 2*a*c)/(b*c) - 1/16*e^(-2*b*c*x - 2*a*c)/(b*c)","A",0
157,1,112,0,0.321301," ","integrate(exp(c*(b*x+a))/(sech(b*c*x+a*c)^2)^(5/2),x, algorithm=""maxima"")","\frac{5 \, {\left(b c x + a c\right)}}{16 \, b c} + \frac{e^{\left(6 \, b c x + 6 \, a c\right)}}{192 \, b c} + \frac{5 \, e^{\left(4 \, b c x + 4 \, a c\right)}}{128 \, b c} + \frac{5 \, e^{\left(2 \, b c x + 2 \, a c\right)}}{32 \, b c} - \frac{5 \, e^{\left(-2 \, b c x - 2 \, a c\right)}}{64 \, b c} - \frac{e^{\left(-4 \, b c x - 4 \, a c\right)}}{128 \, b c}"," ",0,"5/16*(b*c*x + a*c)/(b*c) + 1/192*e^(6*b*c*x + 6*a*c)/(b*c) + 5/128*e^(4*b*c*x + 4*a*c)/(b*c) + 5/32*e^(2*b*c*x + 2*a*c)/(b*c) - 5/64*e^(-2*b*c*x - 2*a*c)/(b*c) - 1/128*e^(-4*b*c*x - 4*a*c)/(b*c)","A",0
158,0,0,0,0.000000," ","integrate(x^5/sech(2*log(c*x))^(1/2),x, algorithm=""maxima"")","\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
159,1,30,0,0.447499," ","integrate(x^4/sech(2*log(c*x))^(1/2),x, algorithm=""maxima"")","\frac{{\left(\sqrt{2} c^{4} x^{4} + \sqrt{2}\right)} \sqrt{c^{4} x^{4} + 1}}{12 \, c^{5}}"," ",0,"1/12*(sqrt(2)*c^4*x^4 + sqrt(2))*sqrt(c^4*x^4 + 1)/c^5","A",0
160,0,0,0,0.000000," ","integrate(x^3/sech(2*log(c*x))^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
163,0,0,0,0.000000," ","integrate(1/sech(2*log(c*x))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)}}\,{d x}"," ",0,"integrate(1/sqrt(sech(2*log(c*x))), x)","F",0
164,0,0,0,0.000000," ","integrate(sech(2*log(c*x))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(sech(2*log(c*x)))/x, x)","F",0
165,0,0,0,0.000000," ","integrate(sech(2*log(c*x))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(sech(2*log(c*x)))/x^2, x)","F",0
166,0,0,0,0.000000," ","integrate(sech(2*log(c*x))^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(sech(2*log(c*x)))/x^3, x)","F",0
167,1,42,0,0.405890," ","integrate(sech(2*log(c*x))^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{1}{2} \, c^{3} {\left(\frac{\sqrt{2}}{\sqrt{\frac{1}{c^{4} x^{4}} + 1}} + \frac{\sqrt{2}}{c^{4} x^{4} \sqrt{\frac{1}{c^{4} x^{4}} + 1}}\right)}"," ",0,"-1/2*c^3*(sqrt(2)/sqrt(1/(c^4*x^4) + 1) + sqrt(2)/(c^4*x^4*sqrt(1/(c^4*x^4) + 1)))","B",0
168,0,0,0,0.000000," ","integrate(sech(2*log(c*x))^(1/2)/x^5,x, algorithm=""maxima"")","\int \frac{\sqrt{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)}}{x^{5}}\,{d x}"," ",0,"integrate(sqrt(sech(2*log(c*x)))/x^5, x)","F",0
169,0,0,0,0.000000," ","integrate(x^8/sech(2*log(c*x))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{8}}{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^8/sech(2*log(c*x))^(3/2), x)","F",0
170,0,0,0,0.000000," ","integrate(x^7/sech(2*log(c*x))^(3/2),x, algorithm=""maxima"")","\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
171,1,30,0,0.453900," ","integrate(x^6/sech(2*log(c*x))^(3/2),x, algorithm=""maxima"")","\frac{{\left(\sqrt{2} c^{4} x^{4} + \sqrt{2}\right)} {\left(c^{4} x^{4} + 1\right)}^{\frac{3}{2}}}{40 \, c^{7}}"," ",0,"1/40*(sqrt(2)*c^4*x^4 + sqrt(2))*(c^4*x^4 + 1)^(3/2)/c^7","A",0
172,0,0,0,0.000000," ","integrate(x^5/sech(2*log(c*x))^(3/2),x, algorithm=""maxima"")","\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
173,0,0,0,0.000000," ","integrate(x^4/sech(2*log(c*x))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^4/sech(2*log(c*x))^(3/2), x)","F",0
174,0,0,0,0.000000," ","integrate(x^3/sech(2*log(c*x))^(3/2),x, algorithm=""maxima"")","\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
175,0,0,0,0.000000," ","integrate(x^2/sech(2*log(c*x))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/sech(2*log(c*x))^(3/2), x)","F",0
176,0,0,0,0.000000," ","integrate(x/sech(2*log(c*x))^(3/2),x, algorithm=""maxima"")","\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=""maxima"")","\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
178,0,0,0,0.000000," ","integrate(sech(2*log(c*x))^(3/2)/x,x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(sech(2*log(c*x))^(3/2)/x, x)","F",0
179,1,39,0,0.401021," ","integrate(sech(2*log(c*x))^(3/2)/x^2,x, algorithm=""maxima"")","c {\left(\frac{\sqrt{2}}{{\left(\frac{1}{c^{4} x^{4}} + 1\right)}^{\frac{3}{2}}} + \frac{\sqrt{2}}{c^{4} x^{4} {\left(\frac{1}{c^{4} x^{4}} + 1\right)}^{\frac{3}{2}}}\right)}"," ",0,"c*(sqrt(2)/(1/(c^4*x^4) + 1)^(3/2) + sqrt(2)/(c^4*x^4*(1/(c^4*x^4) + 1)^(3/2)))","A",0
180,0,0,0,0.000000," ","integrate(sech(2*log(c*x))^(3/2)/x^3,x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}{x^{3}}\,{d x}"," ",0,"integrate(sech(2*log(c*x))^(3/2)/x^3, x)","F",0
181,0,0,0,0.000000," ","integrate(sech(2*log(c*x))^(3/2)/x^4,x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}{x^{4}}\,{d x}"," ",0,"integrate(sech(2*log(c*x))^(3/2)/x^4, x)","F",0
182,0,0,0,0.000000," ","integrate(sech(a+b*log(c*x^n)),x, algorithm=""maxima"")","\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=""maxima"")","-\frac{2 \, x}{b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n} + 4 \, \int \frac{1}{2 \, {\left(b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n\right)}}\,{d x}"," ",0,"-2*x/(b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n) + 4*integrate(1/2/(b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n), x)","F",0
184,0,0,0,0.000000," ","integrate(sech(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","8 \, {\left(b^{2} c^{b} n^{2} - c^{b}\right)} \int \frac{e^{\left(b \log\left(x^{n}\right) + a\right)}}{8 \, {\left(b^{2} c^{2 \, b} n^{2} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b^{2} n^{2}\right)}}\,{d x} + \frac{{\left(b c^{3 \, b} n + c^{3 \, b}\right)} x e^{\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right)} - {\left(b c^{b} n - c^{b}\right)} x e^{\left(b \log\left(x^{n}\right) + a\right)}}{b^{2} c^{4 \, b} n^{2} e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} + 2 \, b^{2} c^{2 \, b} n^{2} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b^{2} n^{2}}"," ",0,"8*(b^2*c^b*n^2 - c^b)*integrate(1/8*e^(b*log(x^n) + a)/(b^2*c^(2*b)*n^2*e^(2*b*log(x^n) + 2*a) + b^2*n^2), x) + ((b*c^(3*b)*n + c^(3*b))*x*e^(3*b*log(x^n) + 3*a) - (b*c^b*n - c^b)*x*e^(b*log(x^n) + a))/(b^2*c^(4*b)*n^2*e^(4*b*log(x^n) + 4*a) + 2*b^2*c^(2*b)*n^2*e^(2*b*log(x^n) + 2*a) + b^2*n^2)","F",0
185,0,0,0,0.000000," ","integrate(sech(a+b*log(c*x^n))^4,x, algorithm=""maxima"")","16 \, {\left(4 \, b^{2} n^{2} - 1\right)} \int \frac{1}{48 \, {\left(b^{3} c^{2 \, b} n^{3} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b^{3} n^{3}\right)}}\,{d x} + \frac{{\left(2 \, b c^{4 \, b} n + c^{4 \, b}\right)} x e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} - 2 \, {\left(6 \, b^{2} c^{2 \, b} n^{2} - b c^{2 \, b} n - c^{2 \, b}\right)} x e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} - {\left(4 \, b^{2} n^{2} - 1\right)} x}{3 \, {\left(b^{3} c^{6 \, b} n^{3} e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} + 3 \, b^{3} c^{4 \, b} n^{3} e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} + 3 \, b^{3} c^{2 \, b} n^{3} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b^{3} n^{3}\right)}}"," ",0,"16*(4*b^2*n^2 - 1)*integrate(1/48/(b^3*c^(2*b)*n^3*e^(2*b*log(x^n) + 2*a) + b^3*n^3), x) + 1/3*((2*b*c^(4*b)*n + c^(4*b))*x*e^(4*b*log(x^n) + 4*a) - 2*(6*b^2*c^(2*b)*n^2 - b*c^(2*b)*n - c^(2*b))*x*e^(2*b*log(x^n) + 2*a) - (4*b^2*n^2 - 1)*x)/(b^3*c^(6*b)*n^3*e^(6*b*log(x^n) + 6*a) + 3*b^3*c^(4*b)*n^3*e^(4*b*log(x^n) + 4*a) + 3*b^3*c^(2*b)*n^3*e^(2*b*log(x^n) + 2*a) + b^3*n^3)","F",0
186,1,96,0,0.611754," ","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=""maxima"")","\frac{2 \, {\left({\left(b c^{3 \, b} n + c^{3 \, b}\right)} x e^{\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right)} - {\left(b c^{b} n - c^{b}\right)} x e^{\left(b \log\left(x^{n}\right) + a\right)}\right)}}{c^{4 \, b} e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} + 2 \, c^{2 \, b} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + 1}"," ",0,"2*((b*c^(3*b)*n + c^(3*b))*x*e^(3*b*log(x^n) + 3*a) - (b*c^b*n - c^b)*x*e^(b*log(x^n) + a))/(c^(4*b)*e^(4*b*log(x^n) + 4*a) + 2*c^(2*b)*e^(2*b*log(x^n) + 2*a) + 1)","B",0
187,1,74,0,0.338340," ","integrate(sech(a+2*log(c*x^(1/2)))^3,x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{2 \, c^{4} x^{2} e^{\left(2 \, a\right)}}{c^{8} x^{4} e^{\left(5 \, a\right)} + 2 \, c^{4} x^{2} e^{\left(3 \, a\right)} + e^{a}} + \frac{1}{c^{8} x^{4} e^{\left(5 \, a\right)} + 2 \, c^{4} x^{2} e^{\left(3 \, a\right)} + e^{a}}\right)}}{c^{2}}"," ",0,"-2*(2*c^4*x^2*e^(2*a)/(c^8*x^4*e^(5*a) + 2*c^4*x^2*e^(3*a) + e^a) + 1/(c^8*x^4*e^(5*a) + 2*c^4*x^2*e^(3*a) + e^a))/c^2","B",0
188,1,49,0,0.343871," ","integrate(sech(a+2*log(c/x^(1/2)))^3,x, algorithm=""maxima"")","-\frac{2 \, {\left(c^{10} e^{\left(5 \, a\right)} + 2 \, c^{6} x^{2} e^{\left(3 \, a\right)}\right)}}{c^{8} e^{\left(4 \, a\right)} + 2 \, c^{4} x^{2} e^{\left(2 \, a\right)} + x^{4}}"," ",0,"-2*(c^10*e^(5*a) + 2*c^6*x^2*e^(3*a))/(c^8*e^(4*a) + 2*c^4*x^2*e^(2*a) + x^4)","B",0
189,0,0,0,0.000000," ","integrate(sech(a+log(c*x^n)/n/(-2+p))^p,x, algorithm=""maxima"")","\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=""maxima"")","\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
191,1,19,0,0.313132," ","integrate(sech(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","\frac{\arctan\left(\sinh\left(b \log\left(c x^{n}\right) + a\right)\right)}{b n}"," ",0,"arctan(sinh(b*log(c*x^n) + a))/(b*n)","A",0
192,1,28,0,0.344200," ","integrate(sech(a+b*log(c*x^n))^2/x,x, algorithm=""maxima"")","-\frac{2}{b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n}"," ",0,"-2/(b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n)","A",0
193,0,0,0,0.000000," ","integrate(sech(a+b*log(c*x^n))^3/x,x, algorithm=""maxima"")","8 \, c^{b} \int \frac{e^{\left(b \log\left(x^{n}\right) + a\right)}}{8 \, {\left(c^{2 \, b} x e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + x\right)}}\,{d x} + \frac{c^{3 \, b} e^{\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right)} - c^{b} e^{\left(b \log\left(x^{n}\right) + a\right)}}{b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} + 2 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n}"," ",0,"8*c^b*integrate(1/8*e^(b*log(x^n) + a)/(c^(2*b)*x*e^(2*b*log(x^n) + 2*a) + x), x) + (c^(3*b)*e^(3*b*log(x^n) + 3*a) - c^b*e^(b*log(x^n) + a))/(b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) + 2*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n)","F",0
194,1,91,0,0.348791," ","integrate(sech(a+b*log(c*x^n))^4/x,x, algorithm=""maxima"")","-\frac{4 \, {\left(3 \, c^{2 \, b} e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + 1\right)}}{3 \, {\left(b c^{6 \, b} n e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} + 3 \, b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} + 3 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n\right)}}"," ",0,"-4/3*(3*c^(2*b)*e^(2*b*log(x^n) + 2*a) + 1)/(b*c^(6*b)*n*e^(6*b*log(x^n) + 6*a) + 3*b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) + 3*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n)","B",0
195,0,0,0,0.000000," ","integrate(sech(a+b*log(c*x^n))^5/x,x, algorithm=""maxima"")","96 \, c^{b} \int \frac{e^{\left(b \log\left(x^{n}\right) + a\right)}}{128 \, {\left(c^{2 \, b} x e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + x\right)}}\,{d x} + \frac{3 \, c^{7 \, b} e^{\left(7 \, b \log\left(x^{n}\right) + 7 \, a\right)} + 11 \, c^{5 \, b} e^{\left(5 \, b \log\left(x^{n}\right) + 5 \, a\right)} - 11 \, c^{3 \, b} e^{\left(3 \, b \log\left(x^{n}\right) + 3 \, a\right)} - 3 \, c^{b} e^{\left(b \log\left(x^{n}\right) + a\right)}}{4 \, {\left(b c^{8 \, b} n e^{\left(8 \, b \log\left(x^{n}\right) + 8 \, a\right)} + 4 \, b c^{6 \, b} n e^{\left(6 \, b \log\left(x^{n}\right) + 6 \, a\right)} + 6 \, b c^{4 \, b} n e^{\left(4 \, b \log\left(x^{n}\right) + 4 \, a\right)} + 4 \, b c^{2 \, b} n e^{\left(2 \, b \log\left(x^{n}\right) + 2 \, a\right)} + b n\right)}}"," ",0,"96*c^b*integrate(1/128*e^(b*log(x^n) + a)/(c^(2*b)*x*e^(2*b*log(x^n) + 2*a) + x), x) + 1/4*(3*c^(7*b)*e^(7*b*log(x^n) + 7*a) + 11*c^(5*b)*e^(5*b*log(x^n) + 5*a) - 11*c^(3*b)*e^(3*b*log(x^n) + 3*a) - 3*c^b*e^(b*log(x^n) + a))/(b*c^(8*b)*n*e^(8*b*log(x^n) + 8*a) + 4*b*c^(6*b)*n*e^(6*b*log(x^n) + 6*a) + 6*b*c^(4*b)*n*e^(4*b*log(x^n) + 4*a) + 4*b*c^(2*b)*n*e^(2*b*log(x^n) + 2*a) + b*n)","F",0
196,0,0,0,0.000000," ","integrate(sech(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate(sech(b*log(c*x^n) + a)^(5/2)/x, x)","F",0
197,0,0,0,0.000000," ","integrate(sech(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""maxima"")","\int \frac{\operatorname{sech}\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(sech(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
198,0,0,0,0.000000," ","integrate(sech(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{\operatorname{sech}\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(sech(b*log(c*x^n) + a))/x, x)","F",0
199,0,0,0,0.000000," ","integrate(1/x/sech(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
