1,0,0,0,0.000000," ","integrate(x^5*(a+b*sech(d*x^2+c)),x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)} x^{5}\,{d x}"," ",0,"integrate((b*sech(d*x^2 + c) + a)*x^5, x)","F",0
2,0,0,0,0.000000," ","integrate(x^4*(a+b*sech(d*x^2+c)),x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)} x^{4}\,{d x}"," ",0,"integrate((b*sech(d*x^2 + c) + a)*x^4, x)","F",0
3,0,0,0,0.000000," ","integrate(x^3*(a+b*sech(d*x^2+c)),x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)} x^{3}\,{d x}"," ",0,"integrate((b*sech(d*x^2 + c) + a)*x^3, x)","F",0
4,0,0,0,0.000000," ","integrate(x^2*(a+b*sech(d*x^2+c)),x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)} x^{2}\,{d x}"," ",0,"integrate((b*sech(d*x^2 + c) + a)*x^2, x)","F",0
5,1,28,0,0.117437," ","integrate(x*(a+b*sech(d*x^2+c)),x, algorithm=""giac"")","\frac{{\left(d x^{2} + c\right)} a}{2 \, d} + \frac{b \arctan\left(e^{\left(d x^{2} + c\right)}\right)}{d}"," ",0,"1/2*(d*x^2 + c)*a/d + b*arctan(e^(d*x^2 + c))/d","A",0
6,0,0,0,0.000000," ","integrate((a+b*sech(d*x^2+c))/x,x, algorithm=""giac"")","\int \frac{b \operatorname{sech}\left(d x^{2} + c\right) + a}{x}\,{d x}"," ",0,"integrate((b*sech(d*x^2 + c) + a)/x, x)","F",0
7,0,0,0,0.000000," ","integrate((a+b*sech(d*x^2+c))/x^2,x, algorithm=""giac"")","\int \frac{b \operatorname{sech}\left(d x^{2} + c\right) + a}{x^{2}}\,{d x}"," ",0,"integrate((b*sech(d*x^2 + c) + a)/x^2, x)","F",0
8,0,0,0,0.000000," ","integrate(x^5*(a+b*sech(d*x^2+c))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)}^{2} x^{5}\,{d x}"," ",0,"integrate((b*sech(d*x^2 + c) + a)^2*x^5, x)","F",0
9,0,0,0,0.000000," ","integrate(x^4*(a+b*sech(d*x^2+c))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)}^{2} x^{4}\,{d x}"," ",0,"integrate((b*sech(d*x^2 + c) + a)^2*x^4, x)","F",0
10,0,0,0,0.000000," ","integrate(x^3*(a+b*sech(d*x^2+c))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)}^{2} x^{3}\,{d x}"," ",0,"integrate((b*sech(d*x^2 + c) + a)^2*x^3, x)","F",0
11,0,0,0,0.000000," ","integrate(x^2*(a+b*sech(d*x^2+c))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)}^{2} x^{2}\,{d x}"," ",0,"integrate((b*sech(d*x^2 + c) + a)^2*x^2, x)","F",0
12,1,55,0,0.122738," ","integrate(x*(a+b*sech(d*x^2+c))^2,x, algorithm=""giac"")","\frac{{\left(d x^{2} + c\right)} a^{2}}{2 \, d} + \frac{2 \, a b \arctan\left(e^{\left(d x^{2} + c\right)}\right)}{d} - \frac{b^{2}}{d {\left(e^{\left(2 \, d x^{2} + 2 \, c\right)} + 1\right)}}"," ",0,"1/2*(d*x^2 + c)*a^2/d + 2*a*b*arctan(e^(d*x^2 + c))/d - b^2/(d*(e^(2*d*x^2 + 2*c) + 1))","A",0
13,0,0,0,0.000000," ","integrate((a+b*sech(d*x^2+c))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*sech(d*x^2 + c) + a)^2/x, x)","F",0
14,0,0,0,0.000000," ","integrate((a+b*sech(d*x^2+c))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((b*sech(d*x^2 + c) + a)^2/x^2, x)","F",0
15,1,146,0,0.143433," ","integrate(x*sech(b*x^2+a)^7,x, algorithm=""giac"")","\frac{5 \, {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, b x^{2} + 2 \, a\right)} - 1\right)} e^{\left(-b x^{2} - a\right)}\right)\right)}}{64 \, b} + \frac{15 \, {\left(e^{\left(b x^{2} + a\right)} - e^{\left(-b x^{2} - a\right)}\right)}^{5} + 160 \, {\left(e^{\left(b x^{2} + a\right)} - e^{\left(-b x^{2} - a\right)}\right)}^{3} + 528 \, e^{\left(b x^{2} + a\right)} - 528 \, e^{\left(-b x^{2} - a\right)}}{48 \, {\left({\left(e^{\left(b x^{2} + a\right)} - e^{\left(-b x^{2} - a\right)}\right)}^{2} + 4\right)}^{3} b}"," ",0,"5/64*(pi + 2*arctan(1/2*(e^(2*b*x^2 + 2*a) - 1)*e^(-b*x^2 - a)))/b + 1/48*(15*(e^(b*x^2 + a) - e^(-b*x^2 - a))^5 + 160*(e^(b*x^2 + a) - e^(-b*x^2 - a))^3 + 528*e^(b*x^2 + a) - 528*e^(-b*x^2 - a))/(((e^(b*x^2 + a) - e^(-b*x^2 - a))^2 + 4)^3*b)","A",0
16,0,0,0,0.000000," ","integrate(x^5/(a+b*sech(d*x^2+c)),x, algorithm=""giac"")","\int \frac{x^{5}}{b \operatorname{sech}\left(d x^{2} + c\right) + a}\,{d x}"," ",0,"integrate(x^5/(b*sech(d*x^2 + c) + a), x)","F",0
17,0,0,0,0.000000," ","integrate(x^4/(a+b*sech(d*x^2+c)),x, algorithm=""giac"")","\int \frac{x^{4}}{b \operatorname{sech}\left(d x^{2} + c\right) + a}\,{d x}"," ",0,"integrate(x^4/(b*sech(d*x^2 + c) + a), x)","F",0
18,0,0,0,0.000000," ","integrate(x^3/(a+b*sech(d*x^2+c)),x, algorithm=""giac"")","\int \frac{x^{3}}{b \operatorname{sech}\left(d x^{2} + c\right) + a}\,{d x}"," ",0,"integrate(x^3/(b*sech(d*x^2 + c) + a), x)","F",0
19,0,0,0,0.000000," ","integrate(x^2/(a+b*sech(d*x^2+c)),x, algorithm=""giac"")","\int \frac{x^{2}}{b \operatorname{sech}\left(d x^{2} + c\right) + a}\,{d x}"," ",0,"integrate(x^2/(b*sech(d*x^2 + c) + a), x)","F",0
20,1,61,0,0.170007," ","integrate(x/(a+b*sech(d*x^2+c)),x, algorithm=""giac"")","-\frac{b \arctan\left(\frac{a e^{\left(d x^{2} + c\right)} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} a d} + \frac{d x^{2} + c}{2 \, a d}"," ",0,"-b*arctan((a*e^(d*x^2 + c) + b)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*a*d) + 1/2*(d*x^2 + c)/(a*d)","A",0
21,0,0,0,0.000000," ","integrate(1/x/(a+b*sech(d*x^2+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)} x}\,{d x}"," ",0,"integrate(1/((b*sech(d*x^2 + c) + a)*x), x)","F",0
22,0,0,0,0.000000," ","integrate((a+b*sech(d*x^2+c))/x^2,x, algorithm=""giac"")","\int \frac{b \operatorname{sech}\left(d x^{2} + c\right) + a}{x^{2}}\,{d x}"," ",0,"integrate((b*sech(d*x^2 + c) + a)/x^2, x)","F",0
23,0,0,0,0.000000," ","integrate(x^5/(a+b*sech(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{x^{5}}{{\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^5/(b*sech(d*x^2 + c) + a)^2, x)","F",0
24,0,0,0,0.000000," ","integrate(x^4/(a+b*sech(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{x^{4}}{{\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^4/(b*sech(d*x^2 + c) + a)^2, x)","F",0
25,0,0,0,0.000000," ","integrate(x^3/(a+b*sech(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{x^{3}}{{\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^3/(b*sech(d*x^2 + c) + a)^2, x)","F",0
26,0,0,0,0.000000," ","integrate(x^2/(a+b*sech(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^2/(b*sech(d*x^2 + c) + a)^2, x)","F",0
27,1,148,0,0.150287," ","integrate(x/(a+b*sech(d*x^2+c))^2,x, algorithm=""giac"")","-\frac{{\left(2 \, a^{2} b - b^{3}\right)} \arctan\left(\frac{a e^{\left(d x^{2} + c\right)} + b}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{4} d - a^{2} b^{2} d\right)} \sqrt{a^{2} - b^{2}}} - \frac{b^{3} e^{\left(d x^{2} + c\right)} + a b^{2}}{{\left(a^{4} d - a^{2} b^{2} d\right)} {\left(a e^{\left(2 \, d x^{2} + 2 \, c\right)} + 2 \, b e^{\left(d x^{2} + c\right)} + a\right)}} + \frac{d x^{2} + c}{2 \, a^{2} d}"," ",0,"-(2*a^2*b - b^3)*arctan((a*e^(d*x^2 + c) + b)/sqrt(a^2 - b^2))/((a^4*d - a^2*b^2*d)*sqrt(a^2 - b^2)) - (b^3*e^(d*x^2 + c) + a*b^2)/((a^4*d - a^2*b^2*d)*(a*e^(2*d*x^2 + 2*c) + 2*b*e^(d*x^2 + c) + a)) + 1/2*(d*x^2 + c)/(a^2*d)","A",0
28,0,0,0,0.000000," ","integrate(1/x/(a+b*sech(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)}^{2} x}\,{d x}"," ",0,"integrate(1/((b*sech(d*x^2 + c) + a)^2*x), x)","F",0
29,0,0,0,0.000000," ","integrate(1/x^2/(a+b*sech(d*x^2+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{sech}\left(d x^{2} + c\right) + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/((b*sech(d*x^2 + c) + a)^2*x^2), x)","F",0
30,0,0,0,0.000000," ","integrate(1/x^3/(a+b*sech(d*x^2+c))^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
31,1,12,0,0.114308," ","integrate(sech(1/x)^2/x^2,x, algorithm=""giac"")","\frac{2}{e^{\frac{2}{x}} + 1}"," ",0,"2/(e^(2/x) + 1)","A",0
32,0,0,0,0.000000," ","integrate(x^3*(a+b*sech(c+d*x^(1/2))),x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)} x^{3}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)*x^3, x)","F",0
33,0,0,0,0.000000," ","integrate(x^2*(a+b*sech(c+d*x^(1/2))),x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)} x^{2}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)*x^2, x)","F",0
34,0,0,0,0.000000," ","integrate(x*(a+b*sech(c+d*x^(1/2))),x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)} x\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)*x, x)","F",0
35,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))/x,x, algorithm=""giac"")","\int \frac{b \operatorname{sech}\left(d \sqrt{x} + c\right) + a}{x}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)/x, x)","F",0
36,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))/x^2,x, algorithm=""giac"")","\int \frac{b \operatorname{sech}\left(d \sqrt{x} + c\right) + a}{x^{2}}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)/x^2, x)","F",0
37,0,0,0,0.000000," ","integrate(x^3*(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)}^{2} x^{3}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)^2*x^3, x)","F",0
38,0,0,0,0.000000," ","integrate(x^2*(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)}^{2} x^{2}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)^2*x^2, x)","F",0
39,0,0,0,0.000000," ","integrate(x*(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)}^{2} x\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)^2*x, x)","F",0
40,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)^2/x, x)","F",0
41,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)^2/x^2, x)","F",0
42,0,0,0,0.000000," ","integrate(x^3/(a+b*sech(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{x^{3}}{b \operatorname{sech}\left(d \sqrt{x} + c\right) + a}\,{d x}"," ",0,"integrate(x^3/(b*sech(d*sqrt(x) + c) + a), x)","F",0
43,0,0,0,0.000000," ","integrate(x^2/(a+b*sech(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{x^{2}}{b \operatorname{sech}\left(d \sqrt{x} + c\right) + a}\,{d x}"," ",0,"integrate(x^2/(b*sech(d*sqrt(x) + c) + a), x)","F",0
44,0,0,0,0.000000," ","integrate(x/(a+b*sech(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{x}{b \operatorname{sech}\left(d \sqrt{x} + c\right) + a}\,{d x}"," ",0,"integrate(x/(b*sech(d*sqrt(x) + c) + a), x)","F",0
45,0,0,0,0.000000," ","integrate(1/x/(a+b*sech(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)} x}\,{d x}"," ",0,"integrate(1/((b*sech(d*sqrt(x) + c) + a)*x), x)","F",0
46,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))/x^2,x, algorithm=""giac"")","\int \frac{b \operatorname{sech}\left(d \sqrt{x} + c\right) + a}{x^{2}}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)/x^2, x)","F",0
47,-2,0,0,0.000000," ","integrate(x^3/(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Evaluation time: 0.57Not invertible Error: Bad Argument Value","F(-2)",0
48,-2,0,0,0.000000," ","integrate(x^2/(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError >> type","F(-2)",0
49,0,0,0,0.000000," ","integrate(x/(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int \frac{x}{{\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x/(b*sech(d*sqrt(x) + c) + a)^2, x)","F",0
50,0,0,0,0.000000," ","integrate(1/x/(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)}^{2} x}\,{d x}"," ",0,"integrate(1/((b*sech(d*sqrt(x) + c) + a)^2*x), x)","F",0
51,0,0,0,0.000000," ","integrate(1/x^2/(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
52,0,0,0,0.000000," ","integrate(x^(3/2)*(a+b*sech(c+d*x^(1/2))),x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)} x^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)*x^(3/2), x)","F",0
53,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))*x^(1/2),x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)} \sqrt{x}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)*sqrt(x), x)","F",0
54,1,29,0,0.143801," ","integrate((a+b*sech(c+d*x^(1/2)))/x^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(d \sqrt{x} + c\right)} a}{d} + \frac{4 \, b \arctan\left(e^{\left(d \sqrt{x} + c\right)}\right)}{d}"," ",0,"2*(d*sqrt(x) + c)*a/d + 4*b*arctan(e^(d*sqrt(x) + c))/d","A",0
55,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))/x^(3/2),x, algorithm=""giac"")","\int \frac{b \operatorname{sech}\left(d \sqrt{x} + c\right) + a}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)/x^(3/2), x)","F",0
56,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))/x^(5/2),x, algorithm=""giac"")","\int \frac{b \operatorname{sech}\left(d \sqrt{x} + c\right) + a}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)/x^(5/2), x)","F",0
57,0,0,0,0.000000," ","integrate(x^(3/2)*(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)}^{2} x^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)^2*x^(3/2), x)","F",0
58,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))^2*x^(1/2),x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)}^{2} \sqrt{x}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)^2*sqrt(x), x)","F",0
59,1,55,0,0.154998," ","integrate((a+b*sech(c+d*x^(1/2)))^2/x^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(d \sqrt{x} + c\right)} a^{2}}{d} + \frac{8 \, a b \arctan\left(e^{\left(d \sqrt{x} + c\right)}\right)}{d} - \frac{4 \, b^{2}}{d {\left(e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 1\right)}}"," ",0,"2*(d*sqrt(x) + c)*a^2/d + 8*a*b*arctan(e^(d*sqrt(x) + c))/d - 4*b^2/(d*(e^(2*d*sqrt(x) + 2*c) + 1))","A",0
60,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))^2/x^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)}^{2}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)^2/x^(3/2), x)","F",0
61,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))^2/x^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)}^{2}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sech(d*sqrt(x) + c) + a)^2/x^(5/2), x)","F",0
62,0,0,0,0.000000," ","integrate(x^(3/2)/(a+b*sech(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{x^{\frac{3}{2}}}{b \operatorname{sech}\left(d \sqrt{x} + c\right) + a}\,{d x}"," ",0,"integrate(x^(3/2)/(b*sech(d*sqrt(x) + c) + a), x)","F",0
63,0,0,0,0.000000," ","integrate(x^(1/2)/(a+b*sech(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{\sqrt{x}}{b \operatorname{sech}\left(d \sqrt{x} + c\right) + a}\,{d x}"," ",0,"integrate(sqrt(x)/(b*sech(d*sqrt(x) + c) + a), x)","F",0
64,1,61,0,0.140050," ","integrate(1/(a+b*sech(c+d*x^(1/2)))/x^(1/2),x, algorithm=""giac"")","-\frac{4 \, b \arctan\left(\frac{a e^{\left(d \sqrt{x} + c\right)} + b}{\sqrt{a^{2} - b^{2}}}\right)}{\sqrt{a^{2} - b^{2}} a d} + \frac{2 \, {\left(d \sqrt{x} + c\right)}}{a d}"," ",0,"-4*b*arctan((a*e^(d*sqrt(x) + c) + b)/sqrt(a^2 - b^2))/(sqrt(a^2 - b^2)*a*d) + 2*(d*sqrt(x) + c)/(a*d)","A",0
65,0,0,0,0.000000," ","integrate(1/x^(3/2)/(a+b*sech(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)} x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*sech(d*sqrt(x) + c) + a)*x^(3/2)), x)","F",0
66,0,0,0,0.000000," ","integrate(1/x^(5/2)/(a+b*sech(c+d*x^(1/2))),x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)} x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((b*sech(d*sqrt(x) + c) + a)*x^(5/2)), x)","F",0
67,0,0,0,0.000000," ","integrate(x^(3/2)/(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int \frac{x^{\frac{3}{2}}}{{\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^(3/2)/(b*sech(d*sqrt(x) + c) + a)^2, x)","F",0
68,0,0,0,0.000000," ","integrate(x^(1/2)/(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int \frac{\sqrt{x}}{{\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(x)/(b*sech(d*sqrt(x) + c) + a)^2, x)","F",0
69,1,148,0,0.155033," ","integrate(1/(a+b*sech(c+d*x^(1/2)))^2/x^(1/2),x, algorithm=""giac"")","-\frac{4 \, {\left(2 \, a^{2} b - b^{3}\right)} \arctan\left(\frac{a e^{\left(d \sqrt{x} + c\right)} + b}{\sqrt{a^{2} - b^{2}}}\right)}{{\left(a^{4} d - a^{2} b^{2} d\right)} \sqrt{a^{2} - b^{2}}} - \frac{4 \, {\left(b^{3} e^{\left(d \sqrt{x} + c\right)} + a b^{2}\right)}}{{\left(a^{4} d - a^{2} b^{2} d\right)} {\left(a e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 2 \, b e^{\left(d \sqrt{x} + c\right)} + a\right)}} + \frac{2 \, {\left(d \sqrt{x} + c\right)}}{a^{2} d}"," ",0,"-4*(2*a^2*b - b^3)*arctan((a*e^(d*sqrt(x) + c) + b)/sqrt(a^2 - b^2))/((a^4*d - a^2*b^2*d)*sqrt(a^2 - b^2)) - 4*(b^3*e^(d*sqrt(x) + c) + a*b^2)/((a^4*d - a^2*b^2*d)*(a*e^(2*d*sqrt(x) + 2*c) + 2*b*e^(d*sqrt(x) + c) + a)) + 2*(d*sqrt(x) + c)/(a^2*d)","A",0
70,0,0,0,0.000000," ","integrate(1/x^(3/2)/(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \operatorname{sech}\left(d \sqrt{x} + c\right) + a\right)}^{2} x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*sech(d*sqrt(x) + c) + a)^2*x^(3/2)), x)","F",0
71,0,0,0,0.000000," ","integrate(1/x^(5/2)/(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
72,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*sech(c+d*x^n))^p,x, algorithm=""giac"")","\int \left(e x\right)^{m} {\left(b \operatorname{sech}\left(d x^{n} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^m*(b*sech(d*x^n + c) + a)^p, x)","F",0
73,0,0,0,0.000000," ","integrate((e*x)^(-1+n)*(a+b*sech(c+d*x^n)),x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d x^{n} + c\right) + a\right)} \left(e x\right)^{n - 1}\,{d x}"," ",0,"integrate((b*sech(d*x^n + c) + a)*(e*x)^(n - 1), x)","F",0
74,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(a+b*sech(c+d*x^n)),x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d x^{n} + c\right) + a\right)} \left(e x\right)^{2 \, n - 1}\,{d x}"," ",0,"integrate((b*sech(d*x^n + c) + a)*(e*x)^(2*n - 1), x)","F",0
75,0,0,0,0.000000," ","integrate((e*x)^(-1+3*n)*(a+b*sech(c+d*x^n)),x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d x^{n} + c\right) + a\right)} \left(e x\right)^{3 \, n - 1}\,{d x}"," ",0,"integrate((b*sech(d*x^n + c) + a)*(e*x)^(3*n - 1), x)","F",0
76,0,0,0,0.000000," ","integrate((e*x)^(-1+n)*(a+b*sech(c+d*x^n))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d x^{n} + c\right) + a\right)}^{2} \left(e x\right)^{n - 1}\,{d x}"," ",0,"integrate((b*sech(d*x^n + c) + a)^2*(e*x)^(n - 1), x)","F",0
77,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(a+b*sech(c+d*x^n))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d x^{n} + c\right) + a\right)}^{2} \left(e x\right)^{2 \, n - 1}\,{d x}"," ",0,"integrate((b*sech(d*x^n + c) + a)^2*(e*x)^(2*n - 1), x)","F",0
78,0,0,0,0.000000," ","integrate((e*x)^(-1+3*n)*(a+b*sech(c+d*x^n))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{sech}\left(d x^{n} + c\right) + a\right)}^{2} \left(e x\right)^{3 \, n - 1}\,{d x}"," ",0,"integrate((b*sech(d*x^n + c) + a)^2*(e*x)^(3*n - 1), x)","F",0
79,0,0,0,0.000000," ","integrate((e*x)^(-1+n)/(a+b*sech(c+d*x^n)),x, algorithm=""giac"")","\int \frac{\left(e x\right)^{n - 1}}{b \operatorname{sech}\left(d x^{n} + c\right) + a}\,{d x}"," ",0,"integrate((e*x)^(n - 1)/(b*sech(d*x^n + c) + a), x)","F",0
80,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)/(a+b*sech(c+d*x^n)),x, algorithm=""giac"")","\int \frac{\left(e x\right)^{2 \, n - 1}}{b \operatorname{sech}\left(d x^{n} + c\right) + a}\,{d x}"," ",0,"integrate((e*x)^(2*n - 1)/(b*sech(d*x^n + c) + a), x)","F",0
81,0,0,0,0.000000," ","integrate((e*x)^(-1+3*n)/(a+b*sech(c+d*x^n)),x, algorithm=""giac"")","\int \frac{\left(e x\right)^{3 \, n - 1}}{b \operatorname{sech}\left(d x^{n} + c\right) + a}\,{d x}"," ",0,"integrate((e*x)^(3*n - 1)/(b*sech(d*x^n + c) + a), x)","F",0
82,0,0,0,0.000000," ","integrate((e*x)^(-1+n)/(a+b*sech(c+d*x^n))^2,x, algorithm=""giac"")","\int \frac{\left(e x\right)^{n - 1}}{{\left(b \operatorname{sech}\left(d x^{n} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x)^(n - 1)/(b*sech(d*x^n + c) + a)^2, x)","F",0
83,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)/(a+b*sech(c+d*x^n))^2,x, algorithm=""giac"")","\int \frac{\left(e x\right)^{2 \, n - 1}}{{\left(b \operatorname{sech}\left(d x^{n} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x)^(2*n - 1)/(b*sech(d*x^n + c) + a)^2, x)","F",0
84,0,0,0,0.000000," ","integrate((e*x)^(-1+3*n)/(a+b*sech(c+d*x^n))^2,x, algorithm=""giac"")","\int \frac{\left(e x\right)^{3 \, n - 1}}{{\left(b \operatorname{sech}\left(d x^{n} + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x)^(3*n - 1)/(b*sech(d*x^n + c) + a)^2, x)","F",0
