1,0,0,0,0.000000," ","integrate(x^5*(a+b*sech(d*x^2+c)),x, algorithm=""maxima"")","\frac{1}{6} \, a x^{6} + 2 \, b \int \frac{x^{5}}{e^{\left(d x^{2} + c\right)} + e^{\left(-d x^{2} - c\right)}}\,{d x}"," ",0,"1/6*a*x^6 + 2*b*integrate(x^5/(e^(d*x^2 + c) + e^(-d*x^2 - c)), x)","F",0
2,0,0,0,0.000000," ","integrate(x^4*(a+b*sech(d*x^2+c)),x, algorithm=""maxima"")","\frac{1}{5} \, a x^{5} + 2 \, b \int \frac{x^{4}}{e^{\left(d x^{2} + c\right)} + e^{\left(-d x^{2} - c\right)}}\,{d x}"," ",0,"1/5*a*x^5 + 2*b*integrate(x^4/(e^(d*x^2 + c) + e^(-d*x^2 - c)), x)","F",0
3,0,0,0,0.000000," ","integrate(x^3*(a+b*sech(d*x^2+c)),x, algorithm=""maxima"")","\frac{1}{4} \, a x^{4} + 2 \, b \int \frac{x^{3}}{e^{\left(d x^{2} + c\right)} + e^{\left(-d x^{2} - c\right)}}\,{d x}"," ",0,"1/4*a*x^4 + 2*b*integrate(x^3/(e^(d*x^2 + c) + e^(-d*x^2 - c)), x)","F",0
4,0,0,0,0.000000," ","integrate(x^2*(a+b*sech(d*x^2+c)),x, algorithm=""maxima"")","\frac{1}{3} \, a x^{3} + 2 \, b \int \frac{x^{2}}{e^{\left(d x^{2} + c\right)} + e^{\left(-d x^{2} - c\right)}}\,{d x}"," ",0,"1/3*a*x^3 + 2*b*integrate(x^2/(e^(d*x^2 + c) + e^(-d*x^2 - c)), x)","F",0
5,1,22,0,0.311406," ","integrate(x*(a+b*sech(d*x^2+c)),x, algorithm=""maxima"")","\frac{1}{2} \, a x^{2} + \frac{b \arctan\left(\sinh\left(d x^{2} + c\right)\right)}{2 \, d}"," ",0,"1/2*a*x^2 + 1/2*b*arctan(sinh(d*x^2 + c))/d","A",0
6,0,0,0,0.000000," ","integrate((a+b*sech(d*x^2+c))/x,x, algorithm=""maxima"")","2 \, b \int \frac{1}{x {\left(e^{\left(d x^{2} + c\right)} + e^{\left(-d x^{2} - c\right)}\right)}}\,{d x} + a \log\left(x\right)"," ",0,"2*b*integrate(1/(x*(e^(d*x^2 + c) + e^(-d*x^2 - c))), x) + a*log(x)","F",0
7,0,0,0,0.000000," ","integrate((a+b*sech(d*x^2+c))/x^2,x, algorithm=""maxima"")","2 \, b \int \frac{1}{x^{2} {\left(e^{\left(d x^{2} + c\right)} + e^{\left(-d x^{2} - c\right)}\right)}}\,{d x} - \frac{a}{x}"," ",0,"2*b*integrate(1/(x^2*(e^(d*x^2 + c) + e^(-d*x^2 - c))), x) - a/x","F",0
8,0,0,0,0.000000," ","integrate(x^5*(a+b*sech(d*x^2+c))^2,x, algorithm=""maxima"")","\frac{1}{6} \, a^{2} x^{6} - \frac{b^{2} x^{4}}{d e^{\left(2 \, d x^{2} + 2 \, c\right)} + d} + \int \frac{4 \, {\left(a b d x^{5} e^{\left(d x^{2} + c\right)} + b^{2} x^{3}\right)}}{d e^{\left(2 \, d x^{2} + 2 \, c\right)} + d}\,{d x}"," ",0,"1/6*a^2*x^6 - b^2*x^4/(d*e^(2*d*x^2 + 2*c) + d) + integrate(4*(a*b*d*x^5*e^(d*x^2 + c) + b^2*x^3)/(d*e^(2*d*x^2 + 2*c) + d), x)","F",0
9,0,0,0,0.000000," ","integrate(x^4*(a+b*sech(d*x^2+c))^2,x, algorithm=""maxima"")","\frac{1}{5} \, a^{2} x^{5} - \frac{b^{2} x^{3}}{d e^{\left(2 \, d x^{2} + 2 \, c\right)} + d} + \int \frac{4 \, a b d x^{4} e^{\left(d x^{2} + c\right)} + 3 \, b^{2} x^{2}}{d e^{\left(2 \, d x^{2} + 2 \, c\right)} + d}\,{d x}"," ",0,"1/5*a^2*x^5 - b^2*x^3/(d*e^(2*d*x^2 + 2*c) + d) + integrate((4*a*b*d*x^4*e^(d*x^2 + c) + 3*b^2*x^2)/(d*e^(2*d*x^2 + 2*c) + d), x)","F",0
10,0,0,0,0.000000," ","integrate(x^3*(a+b*sech(d*x^2+c))^2,x, algorithm=""maxima"")","\frac{1}{4} \, a^{2} x^{4} + \frac{1}{2} \, {\left(\frac{2 \, x^{2} e^{\left(2 \, d x^{2} + 2 \, c\right)}}{d e^{\left(2 \, d x^{2} + 2 \, c\right)} + d} - \frac{\log\left({\left(e^{\left(2 \, d x^{2} + 2 \, c\right)} + 1\right)} e^{\left(-2 \, c\right)}\right)}{d^{2}}\right)} b^{2} + 4 \, a b \int \frac{x^{3} e^{\left(d x^{2} + c\right)}}{e^{\left(2 \, d x^{2} + 2 \, c\right)} + 1}\,{d x}"," ",0,"1/4*a^2*x^4 + 1/2*(2*x^2*e^(2*d*x^2 + 2*c)/(d*e^(2*d*x^2 + 2*c) + d) - log((e^(2*d*x^2 + 2*c) + 1)*e^(-2*c))/d^2)*b^2 + 4*a*b*integrate(x^3*e^(d*x^2 + c)/(e^(2*d*x^2 + 2*c) + 1), x)","F",0
11,0,0,0,0.000000," ","integrate(x^2*(a+b*sech(d*x^2+c))^2,x, algorithm=""maxima"")","\frac{1}{3} \, a^{2} x^{3} - \frac{b^{2} x}{d e^{\left(2 \, d x^{2} + 2 \, c\right)} + d} + \int \frac{4 \, a b d x^{2} e^{\left(d x^{2} + c\right)} + b^{2}}{d e^{\left(2 \, d x^{2} + 2 \, c\right)} + d}\,{d x}"," ",0,"1/3*a^2*x^3 - b^2*x/(d*e^(2*d*x^2 + 2*c) + d) + integrate((4*a*b*d*x^2*e^(d*x^2 + c) + b^2)/(d*e^(2*d*x^2 + 2*c) + d), x)","F",0
12,1,46,0,0.326690," ","integrate(x*(a+b*sech(d*x^2+c))^2,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} x^{2} + \frac{a b \arctan\left(\sinh\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*a^2*x^2 + a*b*arctan(sinh(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=""maxima"")","a^{2} \log\left(x\right) - \frac{b^{2}}{d x^{2} e^{\left(2 \, d x^{2} + 2 \, c\right)} + d x^{2}} + \int \frac{2 \, {\left(2 \, a b d x^{2} e^{\left(d x^{2} + c\right)} - b^{2}\right)}}{d x^{3} e^{\left(2 \, d x^{2} + 2 \, c\right)} + d x^{3}}\,{d x}"," ",0,"a^2*log(x) - b^2/(d*x^2*e^(2*d*x^2 + 2*c) + d*x^2) + integrate(2*(2*a*b*d*x^2*e^(d*x^2 + c) - b^2)/(d*x^3*e^(2*d*x^2 + 2*c) + d*x^3), x)","F",0
14,0,0,0,0.000000," ","integrate((a+b*sech(d*x^2+c))^2/x^2,x, algorithm=""maxima"")","-\frac{b^{2}}{d x^{3} e^{\left(2 \, d x^{2} + 2 \, c\right)} + d x^{3}} - \frac{a^{2}}{x} + \int \frac{4 \, a b d x^{2} e^{\left(d x^{2} + c\right)} - 3 \, b^{2}}{d x^{4} e^{\left(2 \, d x^{2} + 2 \, c\right)} + d x^{4}}\,{d x}"," ",0,"-b^2/(d*x^3*e^(2*d*x^2 + 2*c) + d*x^3) - a^2/x + integrate((4*a*b*d*x^2*e^(d*x^2 + c) - 3*b^2)/(d*x^4*e^(2*d*x^2 + 2*c) + d*x^4), x)","F",0
15,1,182,0,0.426412," ","integrate(x*sech(b*x^2+a)^7,x, algorithm=""maxima"")","-\frac{5 \, \arctan\left(e^{\left(-b x^{2} - a\right)}\right)}{16 \, b} + \frac{15 \, e^{\left(-b x^{2} - a\right)} + 85 \, e^{\left(-3 \, b x^{2} - 3 \, a\right)} + 198 \, e^{\left(-5 \, b x^{2} - 5 \, a\right)} - 198 \, e^{\left(-7 \, b x^{2} - 7 \, a\right)} - 85 \, e^{\left(-9 \, b x^{2} - 9 \, a\right)} - 15 \, e^{\left(-11 \, b x^{2} - 11 \, a\right)}}{48 \, b {\left(6 \, e^{\left(-2 \, b x^{2} - 2 \, a\right)} + 15 \, e^{\left(-4 \, b x^{2} - 4 \, a\right)} + 20 \, e^{\left(-6 \, b x^{2} - 6 \, a\right)} + 15 \, e^{\left(-8 \, b x^{2} - 8 \, a\right)} + 6 \, e^{\left(-10 \, b x^{2} - 10 \, a\right)} + e^{\left(-12 \, b x^{2} - 12 \, a\right)} + 1\right)}}"," ",0,"-5/16*arctan(e^(-b*x^2 - a))/b + 1/48*(15*e^(-b*x^2 - a) + 85*e^(-3*b*x^2 - 3*a) + 198*e^(-5*b*x^2 - 5*a) - 198*e^(-7*b*x^2 - 7*a) - 85*e^(-9*b*x^2 - 9*a) - 15*e^(-11*b*x^2 - 11*a))/(b*(6*e^(-2*b*x^2 - 2*a) + 15*e^(-4*b*x^2 - 4*a) + 20*e^(-6*b*x^2 - 6*a) + 15*e^(-8*b*x^2 - 8*a) + 6*e^(-10*b*x^2 - 10*a) + e^(-12*b*x^2 - 12*a) + 1))","B",0
16,-2,0,0,0.000000," ","integrate(x^5/(a+b*sech(d*x^2+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(a-b>0)', see `assume?` for more details)Is a-b positive or negative?","F(-2)",0
17,0,0,0,0.000000," ","integrate(x^4/(a+b*sech(d*x^2+c)),x, algorithm=""maxima"")","\frac{x^{5}}{5 \, a} - 2 \, b \int \frac{x^{4} e^{\left(d x^{2} + c\right)}}{a^{2} e^{\left(2 \, d x^{2} + 2 \, c\right)} + 2 \, a b e^{\left(d x^{2} + c\right)} + a^{2}}\,{d x}"," ",0,"1/5*x^5/a - 2*b*integrate(x^4*e^(d*x^2 + c)/(a^2*e^(2*d*x^2 + 2*c) + 2*a*b*e^(d*x^2 + c) + a^2), x)","F",0
18,-2,0,0,0.000000," ","integrate(x^3/(a+b*sech(d*x^2+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(a-b>0)', see `assume?` for more details)Is a-b positive or negative?","F(-2)",0
19,0,0,0,0.000000," ","integrate(x^2/(a+b*sech(d*x^2+c)),x, algorithm=""maxima"")","\frac{x^{3}}{3 \, a} - 2 \, b \int \frac{x^{2} e^{\left(d x^{2} + c\right)}}{a^{2} e^{\left(2 \, d x^{2} + 2 \, c\right)} + 2 \, a b e^{\left(d x^{2} + c\right)} + a^{2}}\,{d x}"," ",0,"1/3*x^3/a - 2*b*integrate(x^2*e^(d*x^2 + c)/(a^2*e^(2*d*x^2 + 2*c) + 2*a*b*e^(d*x^2 + c) + a^2), x)","F",0
20,-2,0,0,0.000000," ","integrate(x/(a+b*sech(d*x^2+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
21,0,0,0,0.000000," ","integrate(1/x/(a+b*sech(d*x^2+c)),x, algorithm=""maxima"")","-2 \, b \int \frac{e^{\left(d x^{2} + c\right)}}{a^{2} x e^{\left(2 \, d x^{2} + 2 \, c\right)} + 2 \, a b x e^{\left(d x^{2} + c\right)} + a^{2} x}\,{d x} + \frac{\log\left(x\right)}{a}"," ",0,"-2*b*integrate(e^(d*x^2 + c)/(a^2*x*e^(2*d*x^2 + 2*c) + 2*a*b*x*e^(d*x^2 + c) + a^2*x), x) + log(x)/a","F",0
22,0,0,0,0.000000," ","integrate((a+b*sech(d*x^2+c))/x^2,x, algorithm=""maxima"")","2 \, b \int \frac{1}{x^{2} {\left(e^{\left(d x^{2} + c\right)} + e^{\left(-d x^{2} - c\right)}\right)}}\,{d x} - \frac{a}{x}"," ",0,"2*b*integrate(1/(x^2*(e^(d*x^2 + c) + e^(-d*x^2 - c))), x) - a/x","F",0
23,-2,0,0,0.000000," ","integrate(x^5/(a+b*sech(d*x^2+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(a-b>0)', see `assume?` for more details)Is a-b positive or negative?","F(-2)",0
24,0,0,0,0.000000," ","integrate(x^4/(a+b*sech(d*x^2+c))^2,x, algorithm=""maxima"")","\frac{{\left(a^{3} d e^{\left(2 \, c\right)} - a b^{2} d e^{\left(2 \, c\right)}\right)} x^{5} e^{\left(2 \, d x^{2}\right)} - 5 \, a b^{2} x^{3} + {\left(a^{3} d - a b^{2} d\right)} x^{5} - {\left(5 \, b^{3} x^{3} e^{c} - 2 \, {\left(a^{2} b d e^{c} - b^{3} d e^{c}\right)} x^{5}\right)} e^{\left(d x^{2}\right)}}{5 \, {\left(a^{5} d - a^{3} b^{2} d + {\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} e^{\left(d x^{2}\right)}\right)}} - \int -\frac{3 \, a b^{2} x^{2} + {\left(3 \, b^{3} x^{2} e^{c} - 2 \, {\left(2 \, a^{2} b d e^{c} - b^{3} d e^{c}\right)} x^{4}\right)} e^{\left(d x^{2}\right)}}{a^{5} d - a^{3} b^{2} d + {\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} e^{\left(d x^{2}\right)}}\,{d x}"," ",0,"1/5*((a^3*d*e^(2*c) - a*b^2*d*e^(2*c))*x^5*e^(2*d*x^2) - 5*a*b^2*x^3 + (a^3*d - a*b^2*d)*x^5 - (5*b^3*x^3*e^c - 2*(a^2*b*d*e^c - b^3*d*e^c)*x^5)*e^(d*x^2))/(a^5*d - a^3*b^2*d + (a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*e^(2*d*x^2) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*e^(d*x^2)) - integrate(-(3*a*b^2*x^2 + (3*b^3*x^2*e^c - 2*(2*a^2*b*d*e^c - b^3*d*e^c)*x^4)*e^(d*x^2))/(a^5*d - a^3*b^2*d + (a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*e^(2*d*x^2) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*e^(d*x^2)), x)","F",0
25,-2,0,0,0.000000," ","integrate(x^3/(a+b*sech(d*x^2+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(a-b>0)', see `assume?` for more details)Is a-b positive or negative?","F(-2)",0
26,0,0,0,0.000000," ","integrate(x^2/(a+b*sech(d*x^2+c))^2,x, algorithm=""maxima"")","\frac{{\left(a^{3} d e^{\left(2 \, c\right)} - a b^{2} d e^{\left(2 \, c\right)}\right)} x^{3} e^{\left(2 \, d x^{2}\right)} - 3 \, a b^{2} x + {\left(a^{3} d - a b^{2} d\right)} x^{3} - {\left(3 \, b^{3} x e^{c} - 2 \, {\left(a^{2} b d e^{c} - b^{3} d e^{c}\right)} x^{3}\right)} e^{\left(d x^{2}\right)}}{3 \, {\left(a^{5} d - a^{3} b^{2} d + {\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} e^{\left(d x^{2}\right)}\right)}} - \int -\frac{a b^{2} + {\left(b^{3} e^{c} - 2 \, {\left(2 \, a^{2} b d e^{c} - b^{3} d e^{c}\right)} x^{2}\right)} e^{\left(d x^{2}\right)}}{a^{5} d - a^{3} b^{2} d + {\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} e^{\left(d x^{2}\right)}}\,{d x}"," ",0,"1/3*((a^3*d*e^(2*c) - a*b^2*d*e^(2*c))*x^3*e^(2*d*x^2) - 3*a*b^2*x + (a^3*d - a*b^2*d)*x^3 - (3*b^3*x*e^c - 2*(a^2*b*d*e^c - b^3*d*e^c)*x^3)*e^(d*x^2))/(a^5*d - a^3*b^2*d + (a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*e^(2*d*x^2) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*e^(d*x^2)) - integrate(-(a*b^2 + (b^3*e^c - 2*(2*a^2*b*d*e^c - b^3*d*e^c)*x^2)*e^(d*x^2))/(a^5*d - a^3*b^2*d + (a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*e^(2*d*x^2) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*e^(d*x^2)), x)","F",0
27,-2,0,0,0.000000," ","integrate(x/(a+b*sech(d*x^2+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
28,0,0,0,0.000000," ","integrate(1/x/(a+b*sech(d*x^2+c))^2,x, algorithm=""maxima"")","-\frac{b^{3} e^{\left(d x^{2} + c\right)} + a b^{2}}{{\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} x^{2} e^{\left(d x^{2}\right)} + {\left(a^{5} d - a^{3} b^{2} d\right)} x^{2}} + \frac{\log\left(x\right)}{a^{2}} - \int \frac{2 \, {\left(a b^{2} + {\left(b^{3} e^{c} + {\left(2 \, a^{2} b d e^{c} - b^{3} d e^{c}\right)} x^{2}\right)} e^{\left(d x^{2}\right)}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{3} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} x^{3} e^{\left(d x^{2}\right)} + {\left(a^{5} d - a^{3} b^{2} d\right)} x^{3}}\,{d x}"," ",0,"-(b^3*e^(d*x^2 + c) + a*b^2)/((a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*x^2*e^(2*d*x^2) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*x^2*e^(d*x^2) + (a^5*d - a^3*b^2*d)*x^2) + log(x)/a^2 - integrate(2*(a*b^2 + (b^3*e^c + (2*a^2*b*d*e^c - b^3*d*e^c)*x^2)*e^(d*x^2))/((a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*x^3*e^(2*d*x^2) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*x^3*e^(d*x^2) + (a^5*d - a^3*b^2*d)*x^3), x)","F",0
29,0,0,0,0.000000," ","integrate(1/x^2/(a+b*sech(d*x^2+c))^2,x, algorithm=""maxima"")","-\frac{{\left(a^{3} d e^{\left(2 \, c\right)} - a b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} e^{\left(2 \, d x^{2}\right)} + a b^{2} + {\left(a^{3} d - a b^{2} d\right)} x^{2} + {\left(b^{3} e^{c} + 2 \, {\left(a^{2} b d e^{c} - b^{3} d e^{c}\right)} x^{2}\right)} e^{\left(d x^{2}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{3} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} x^{3} e^{\left(d x^{2}\right)} + {\left(a^{5} d - a^{3} b^{2} d\right)} x^{3}} - \int \frac{3 \, a b^{2} + {\left(3 \, b^{3} e^{c} + 2 \, {\left(2 \, a^{2} b d e^{c} - b^{3} d e^{c}\right)} x^{2}\right)} e^{\left(d x^{2}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{4} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} x^{4} e^{\left(d x^{2}\right)} + {\left(a^{5} d - a^{3} b^{2} d\right)} x^{4}}\,{d x}"," ",0,"-((a^3*d*e^(2*c) - a*b^2*d*e^(2*c))*x^2*e^(2*d*x^2) + a*b^2 + (a^3*d - a*b^2*d)*x^2 + (b^3*e^c + 2*(a^2*b*d*e^c - b^3*d*e^c)*x^2)*e^(d*x^2))/((a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*x^3*e^(2*d*x^2) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*x^3*e^(d*x^2) + (a^5*d - a^3*b^2*d)*x^3) - integrate((3*a*b^2 + (3*b^3*e^c + 2*(2*a^2*b*d*e^c - b^3*d*e^c)*x^2)*e^(d*x^2))/((a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*x^4*e^(2*d*x^2) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*x^4*e^(d*x^2) + (a^5*d - a^3*b^2*d)*x^4), x)","F",0
30,0,0,0,0.000000," ","integrate(1/x^3/(a+b*sech(d*x^2+c))^2,x, algorithm=""maxima"")","-\frac{{\left(a^{3} d e^{\left(2 \, c\right)} - a b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} e^{\left(2 \, d x^{2}\right)} + 2 \, a b^{2} + {\left(a^{3} d - a b^{2} d\right)} x^{2} + 2 \, {\left(b^{3} e^{c} + {\left(a^{2} b d e^{c} - b^{3} d e^{c}\right)} x^{2}\right)} e^{\left(d x^{2}\right)}}{2 \, {\left({\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{4} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} x^{4} e^{\left(d x^{2}\right)} + {\left(a^{5} d - a^{3} b^{2} d\right)} x^{4}\right)}} - \int \frac{2 \, {\left(2 \, a b^{2} + {\left(2 \, b^{3} e^{c} + {\left(2 \, a^{2} b d e^{c} - b^{3} d e^{c}\right)} x^{2}\right)} e^{\left(d x^{2}\right)}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{5} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} x^{5} e^{\left(d x^{2}\right)} + {\left(a^{5} d - a^{3} b^{2} d\right)} x^{5}}\,{d x}"," ",0,"-1/2*((a^3*d*e^(2*c) - a*b^2*d*e^(2*c))*x^2*e^(2*d*x^2) + 2*a*b^2 + (a^3*d - a*b^2*d)*x^2 + 2*(b^3*e^c + (a^2*b*d*e^c - b^3*d*e^c)*x^2)*e^(d*x^2))/((a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*x^4*e^(2*d*x^2) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*x^4*e^(d*x^2) + (a^5*d - a^3*b^2*d)*x^4) - integrate(2*(2*a*b^2 + (2*b^3*e^c + (2*a^2*b*d*e^c - b^3*d*e^c)*x^2)*e^(d*x^2))/((a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*x^5*e^(2*d*x^2) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*x^5*e^(d*x^2) + (a^5*d - a^3*b^2*d)*x^5), x)","F",0
31,1,12,0,0.295965," ","integrate(sech(1/x)^2/x^2,x, algorithm=""maxima"")","\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=""maxima"")","\frac{1}{4} \, a x^{4} + 2 \, b \int \frac{x^{3} e^{\left(d \sqrt{x} + c\right)}}{e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 1}\,{d x}"," ",0,"1/4*a*x^4 + 2*b*integrate(x^3*e^(d*sqrt(x) + c)/(e^(2*d*sqrt(x) + 2*c) + 1), x)","F",0
33,0,0,0,0.000000," ","integrate(x^2*(a+b*sech(c+d*x^(1/2))),x, algorithm=""maxima"")","\frac{1}{3} \, a x^{3} + 2 \, b \int \frac{x^{2} e^{\left(d \sqrt{x} + c\right)}}{e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 1}\,{d x}"," ",0,"1/3*a*x^3 + 2*b*integrate(x^2*e^(d*sqrt(x) + c)/(e^(2*d*sqrt(x) + 2*c) + 1), x)","F",0
34,0,0,0,0.000000," ","integrate(x*(a+b*sech(c+d*x^(1/2))),x, algorithm=""maxima"")","\frac{1}{2} \, a x^{2} + 2 \, b \int \frac{x e^{\left(d \sqrt{x} + c\right)}}{e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 1}\,{d x}"," ",0,"1/2*a*x^2 + 2*b*integrate(x*e^(d*sqrt(x) + c)/(e^(2*d*sqrt(x) + 2*c) + 1), x)","F",0
35,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))/x,x, algorithm=""maxima"")","2 \, b \int \frac{e^{\left(d \sqrt{x} + c\right)}}{x e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + x}\,{d x} + a \log\left(x\right)"," ",0,"2*b*integrate(e^(d*sqrt(x) + c)/(x*e^(2*d*sqrt(x) + 2*c) + x), x) + a*log(x)","F",0
36,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))/x^2,x, algorithm=""maxima"")","2 \, b \int \frac{e^{\left(d \sqrt{x} + c\right)}}{x^{2} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + x^{2}}\,{d x} - \frac{a}{x}"," ",0,"2*b*integrate(e^(d*sqrt(x) + c)/(x^2*e^(2*d*sqrt(x) + 2*c) + x^2), x) - a/x","F",0
37,0,0,0,0.000000," ","integrate(x^3*(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","\frac{a^{2} d x^{4} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + a^{2} d x^{4} - 16 \, b^{2} x^{\frac{7}{2}}}{4 \, {\left(d e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d\right)}} + \int \frac{2 \, {\left(2 \, a b d x^{3} e^{\left(d \sqrt{x} + c\right)} + 7 \, b^{2} x^{\frac{5}{2}}\right)}}{d e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d}\,{d x}"," ",0,"1/4*(a^2*d*x^4*e^(2*d*sqrt(x) + 2*c) + a^2*d*x^4 - 16*b^2*x^(7/2))/(d*e^(2*d*sqrt(x) + 2*c) + d) + integrate(2*(2*a*b*d*x^3*e^(d*sqrt(x) + c) + 7*b^2*x^(5/2))/(d*e^(2*d*sqrt(x) + 2*c) + d), x)","F",0
38,0,0,0,0.000000," ","integrate(x^2*(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","\frac{a^{2} d x^{3} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + a^{2} d x^{3} - 12 \, b^{2} x^{\frac{5}{2}}}{3 \, {\left(d e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d\right)}} + \int \frac{2 \, {\left(2 \, a b d x^{2} e^{\left(d \sqrt{x} + c\right)} + 5 \, b^{2} x^{\frac{3}{2}}\right)}}{d e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d}\,{d x}"," ",0,"1/3*(a^2*d*x^3*e^(2*d*sqrt(x) + 2*c) + a^2*d*x^3 - 12*b^2*x^(5/2))/(d*e^(2*d*sqrt(x) + 2*c) + d) + integrate(2*(2*a*b*d*x^2*e^(d*sqrt(x) + c) + 5*b^2*x^(3/2))/(d*e^(2*d*sqrt(x) + 2*c) + d), x)","F",0
39,0,0,0,0.000000," ","integrate(x*(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","\frac{a^{2} d x^{2} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + a^{2} d x^{2} - 8 \, b^{2} x^{\frac{3}{2}}}{2 \, {\left(d e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d\right)}} + \int \frac{2 \, {\left(2 \, a b d x e^{\left(d \sqrt{x} + c\right)} + 3 \, b^{2} \sqrt{x}\right)}}{d e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d}\,{d x}"," ",0,"1/2*(a^2*d*x^2*e^(2*d*sqrt(x) + 2*c) + a^2*d*x^2 - 8*b^2*x^(3/2))/(d*e^(2*d*sqrt(x) + 2*c) + d) + integrate(2*(2*a*b*d*x*e^(d*sqrt(x) + c) + 3*b^2*sqrt(x))/(d*e^(2*d*sqrt(x) + 2*c) + d), x)","F",0
40,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))^2/x,x, algorithm=""maxima"")","a^{2} \log\left(x\right) - \frac{4 \, b^{2} \sqrt{x}}{d x e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d x} + \int \frac{2 \, {\left(2 \, a b d x e^{\left(d \sqrt{x} + c\right)} - b^{2} \sqrt{x}\right)}}{d x^{2} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d x^{2}}\,{d x}"," ",0,"a^2*log(x) - 4*b^2*sqrt(x)/(d*x*e^(2*d*sqrt(x) + 2*c) + d*x) + integrate(2*(2*a*b*d*x*e^(d*sqrt(x) + c) - b^2*sqrt(x))/(d*x^2*e^(2*d*sqrt(x) + 2*c) + d*x^2), x)","F",0
41,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))^2/x^2,x, algorithm=""maxima"")","-\frac{a^{2} d x e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + a^{2} d x + 4 \, b^{2} \sqrt{x}}{d x^{2} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d x^{2}} + \int \frac{2 \, {\left(2 \, a b d x e^{\left(d \sqrt{x} + c\right)} - 3 \, b^{2} \sqrt{x}\right)}}{d x^{3} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d x^{3}}\,{d x}"," ",0,"-(a^2*d*x*e^(2*d*sqrt(x) + 2*c) + a^2*d*x + 4*b^2*sqrt(x))/(d*x^2*e^(2*d*sqrt(x) + 2*c) + d*x^2) + integrate(2*(2*a*b*d*x*e^(d*sqrt(x) + c) - 3*b^2*sqrt(x))/(d*x^3*e^(2*d*sqrt(x) + 2*c) + d*x^3), x)","F",0
42,-2,0,0,0.000000," ","integrate(x^3/(a+b*sech(c+d*x^(1/2))),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(a-b>0)', see `assume?` for more details)Is a-b positive or negative?","F(-2)",0
43,-2,0,0,0.000000," ","integrate(x^2/(a+b*sech(c+d*x^(1/2))),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(a-b>0)', see `assume?` for more details)Is a-b positive or negative?","F(-2)",0
44,-2,0,0,0.000000," ","integrate(x/(a+b*sech(c+d*x^(1/2))),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(a-b>0)', see `assume?` for more details)Is a-b positive or negative?","F(-2)",0
45,0,0,0,0.000000," ","integrate(1/x/(a+b*sech(c+d*x^(1/2))),x, algorithm=""maxima"")","-2 \, b \int \frac{e^{\left(d \sqrt{x} + c\right)}}{a^{2} x e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 2 \, a b x e^{\left(d \sqrt{x} + c\right)} + a^{2} x}\,{d x} + \frac{\log\left(x\right)}{a}"," ",0,"-2*b*integrate(e^(d*sqrt(x) + c)/(a^2*x*e^(2*d*sqrt(x) + 2*c) + 2*a*b*x*e^(d*sqrt(x) + c) + a^2*x), x) + log(x)/a","F",0
46,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))/x^2,x, algorithm=""maxima"")","2 \, b \int \frac{e^{\left(d \sqrt{x} + c\right)}}{x^{2} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + x^{2}}\,{d x} - \frac{a}{x}"," ",0,"2*b*integrate(e^(d*sqrt(x) + c)/(x^2*e^(2*d*sqrt(x) + 2*c) + x^2), x) - a/x","F",0
47,-2,0,0,0.000000," ","integrate(x^3/(a+b*sech(c+d*x^(1/2)))^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(a-b>0)', see `assume?` for more details)Is a-b positive or negative?","F(-2)",0
48,-2,0,0,0.000000," ","integrate(x^2/(a+b*sech(c+d*x^(1/2)))^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(a-b>0)', see `assume?` for more details)Is a-b positive or negative?","F(-2)",0
49,-2,0,0,0.000000," ","integrate(x/(a+b*sech(c+d*x^(1/2)))^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(a-b>0)', see `assume?` for more details)Is a-b positive or negative?","F(-2)",0
50,0,0,0,0.000000," ","integrate(1/x/(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","-\frac{4 \, {\left(b^{3} \sqrt{x} e^{\left(d \sqrt{x} + c\right)} + a b^{2} \sqrt{x}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} x e^{\left(d \sqrt{x}\right)} + {\left(a^{5} d - a^{3} b^{2} d\right)} x} + \frac{\log\left(x\right)}{a^{2}} - \int \frac{2 \, {\left(a b^{2} \sqrt{x} + {\left(b^{3} \sqrt{x} e^{c} + {\left(2 \, a^{2} b d e^{c} - b^{3} d e^{c}\right)} x\right)} e^{\left(d \sqrt{x}\right)}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} x^{2} e^{\left(d \sqrt{x}\right)} + {\left(a^{5} d - a^{3} b^{2} d\right)} x^{2}}\,{d x}"," ",0,"-4*(b^3*sqrt(x)*e^(d*sqrt(x) + c) + a*b^2*sqrt(x))/((a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*x*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*x*e^(d*sqrt(x)) + (a^5*d - a^3*b^2*d)*x) + log(x)/a^2 - integrate(2*(a*b^2*sqrt(x) + (b^3*sqrt(x)*e^c + (2*a^2*b*d*e^c - b^3*d*e^c)*x)*e^(d*sqrt(x)))/((a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*x^2*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*x^2*e^(d*sqrt(x)) + (a^5*d - a^3*b^2*d)*x^2), x)","F",0
51,0,0,0,0.000000," ","integrate(1/x^2/(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","-\frac{4 \, a b^{2} \sqrt{x} + {\left(a^{3} d e^{\left(2 \, c\right)} - a b^{2} d e^{\left(2 \, c\right)}\right)} x e^{\left(2 \, d \sqrt{x}\right)} + {\left(a^{3} d - a b^{2} d\right)} x + 2 \, {\left(2 \, b^{3} \sqrt{x} e^{c} + {\left(a^{2} b d e^{c} - b^{3} d e^{c}\right)} x\right)} e^{\left(d \sqrt{x}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} x^{2} e^{\left(d \sqrt{x}\right)} + {\left(a^{5} d - a^{3} b^{2} d\right)} x^{2}} - \int \frac{2 \, {\left(3 \, a b^{2} \sqrt{x} + {\left(3 \, b^{3} \sqrt{x} e^{c} + {\left(2 \, a^{2} b d e^{c} - b^{3} d e^{c}\right)} x\right)} e^{\left(d \sqrt{x}\right)}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{3} e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} x^{3} e^{\left(d \sqrt{x}\right)} + {\left(a^{5} d - a^{3} b^{2} d\right)} x^{3}}\,{d x}"," ",0,"-(4*a*b^2*sqrt(x) + (a^3*d*e^(2*c) - a*b^2*d*e^(2*c))*x*e^(2*d*sqrt(x)) + (a^3*d - a*b^2*d)*x + 2*(2*b^3*sqrt(x)*e^c + (a^2*b*d*e^c - b^3*d*e^c)*x)*e^(d*sqrt(x)))/((a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*x^2*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*x^2*e^(d*sqrt(x)) + (a^5*d - a^3*b^2*d)*x^2) - integrate(2*(3*a*b^2*sqrt(x) + (3*b^3*sqrt(x)*e^c + (2*a^2*b*d*e^c - b^3*d*e^c)*x)*e^(d*sqrt(x)))/((a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*x^3*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*x^3*e^(d*sqrt(x)) + (a^5*d - a^3*b^2*d)*x^3), x)","F",0
52,0,0,0,0.000000," ","integrate(x^(3/2)*(a+b*sech(c+d*x^(1/2))),x, algorithm=""maxima"")","\frac{2}{5} \, a x^{\frac{5}{2}} + 2 \, b \int \frac{x^{\frac{3}{2}} e^{\left(d \sqrt{x} + c\right)}}{e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 1}\,{d x}"," ",0,"2/5*a*x^(5/2) + 2*b*integrate(x^(3/2)*e^(d*sqrt(x) + c)/(e^(2*d*sqrt(x) + 2*c) + 1), x)","F",0
53,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))*x^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, a x^{\frac{3}{2}} + 2 \, b \int \frac{\sqrt{x} e^{\left(d \sqrt{x} + c\right)}}{e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 1}\,{d x}"," ",0,"2/3*a*x^(3/2) + 2*b*integrate(sqrt(x)*e^(d*sqrt(x) + c)/(e^(2*d*sqrt(x) + 2*c) + 1), x)","F",0
54,1,22,0,0.336479," ","integrate((a+b*sech(c+d*x^(1/2)))/x^(1/2),x, algorithm=""maxima"")","2 \, a \sqrt{x} + \frac{2 \, b \arctan\left(\sinh\left(d \sqrt{x} + c\right)\right)}{d}"," ",0,"2*a*sqrt(x) + 2*b*arctan(sinh(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=""maxima"")","2 \, b \int \frac{e^{\left(d \sqrt{x} + c\right)}}{x^{\frac{3}{2}} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + x^{\frac{3}{2}}}\,{d x} - \frac{2 \, a}{\sqrt{x}}"," ",0,"2*b*integrate(e^(d*sqrt(x) + c)/(x^(3/2)*e^(2*d*sqrt(x) + 2*c) + x^(3/2)), x) - 2*a/sqrt(x)","F",0
56,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))/x^(5/2),x, algorithm=""maxima"")","2 \, b \int \frac{e^{\left(d \sqrt{x} + c\right)}}{x^{\frac{5}{2}} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + x^{\frac{5}{2}}}\,{d x} - \frac{2 \, a}{3 \, x^{\frac{3}{2}}}"," ",0,"2*b*integrate(e^(d*sqrt(x) + c)/(x^(5/2)*e^(2*d*sqrt(x) + 2*c) + x^(5/2)), x) - 2/3*a/x^(3/2)","F",0
57,0,0,0,0.000000," ","integrate(x^(3/2)*(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","\frac{2 \, {\left(a^{2} d x^{\frac{5}{2}} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + a^{2} d x^{\frac{5}{2}} - 10 \, b^{2} x^{2}\right)}}{5 \, {\left(d e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d\right)}} + \int \frac{4 \, {\left(a b d x^{\frac{5}{2}} e^{\left(d \sqrt{x} + c\right)} + 2 \, b^{2} x^{2}\right)}}{d x e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d x}\,{d x}"," ",0,"2/5*(a^2*d*x^(5/2)*e^(2*d*sqrt(x) + 2*c) + a^2*d*x^(5/2) - 10*b^2*x^2)/(d*e^(2*d*sqrt(x) + 2*c) + d) + integrate(4*(a*b*d*x^(5/2)*e^(d*sqrt(x) + c) + 2*b^2*x^2)/(d*x*e^(2*d*sqrt(x) + 2*c) + d*x), x)","F",0
58,0,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))^2*x^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(a^{2} d x^{\frac{3}{2}} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + a^{2} d x^{\frac{3}{2}} - 6 \, b^{2} x\right)}}{3 \, {\left(d e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d\right)}} + \int \frac{4 \, {\left(a b d x^{\frac{3}{2}} e^{\left(d \sqrt{x} + c\right)} + b^{2} x\right)}}{d x e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d x}\,{d x}"," ",0,"2/3*(a^2*d*x^(3/2)*e^(2*d*sqrt(x) + 2*c) + a^2*d*x^(3/2) - 6*b^2*x)/(d*e^(2*d*sqrt(x) + 2*c) + d) + integrate(4*(a*b*d*x^(3/2)*e^(d*sqrt(x) + c) + b^2*x)/(d*x*e^(2*d*sqrt(x) + 2*c) + d*x), x)","F",0
59,1,48,0,0.303541," ","integrate((a+b*sech(c+d*x^(1/2)))^2/x^(1/2),x, algorithm=""maxima"")","2 \, a^{2} \sqrt{x} + \frac{4 \, a b \arctan\left(\sinh\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*a^2*sqrt(x) + 4*a*b*arctan(sinh(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=""maxima"")","-\frac{2 \, {\left(a^{2} d \sqrt{x} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + a^{2} d \sqrt{x} + 2 \, b^{2}\right)}}{d x e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d x} + \int \frac{4 \, {\left(a b d x e^{\left(d \sqrt{x} + c\right)} - b^{2} \sqrt{x}\right)}}{d x^{\frac{5}{2}} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + d x^{\frac{5}{2}}}\,{d x}"," ",0,"-2*(a^2*d*sqrt(x)*e^(2*d*sqrt(x) + 2*c) + a^2*d*sqrt(x) + 2*b^2)/(d*x*e^(2*d*sqrt(x) + 2*c) + d*x) + integrate(4*(a*b*d*x*e^(d*sqrt(x) + c) - b^2*sqrt(x))/(d*x^(5/2)*e^(2*d*sqrt(x) + 2*c) + d*x^(5/2)), x)","F",0
61,-1,0,0,0.000000," ","integrate((a+b*sech(c+d*x^(1/2)))^2/x^(5/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
62,-2,0,0,0.000000," ","integrate(x^(3/2)/(a+b*sech(c+d*x^(1/2))),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(a-b>0)', see `assume?` for more details)Is a-b positive or negative?","F(-2)",0
63,-2,0,0,0.000000," ","integrate(x^(1/2)/(a+b*sech(c+d*x^(1/2))),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(a-b>0)', see `assume?` for more details)Is a-b positive or negative?","F(-2)",0
64,-2,0,0,0.000000," ","integrate(1/(a+b*sech(c+d*x^(1/2)))/x^(1/2),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
65,0,0,0,0.000000," ","integrate(1/x^(3/2)/(a+b*sech(c+d*x^(1/2))),x, algorithm=""maxima"")","-2 \, b \int \frac{e^{\left(d \sqrt{x} + c\right)}}{a^{2} x^{\frac{3}{2}} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 2 \, a b x^{\frac{3}{2}} e^{\left(d \sqrt{x} + c\right)} + a^{2} x^{\frac{3}{2}}}\,{d x} - \frac{2}{a \sqrt{x}}"," ",0,"-2*b*integrate(e^(d*sqrt(x) + c)/(a^2*x^(3/2)*e^(2*d*sqrt(x) + 2*c) + 2*a*b*x^(3/2)*e^(d*sqrt(x) + c) + a^2*x^(3/2)), x) - 2/(a*sqrt(x))","F",0
66,0,0,0,0.000000," ","integrate(1/x^(5/2)/(a+b*sech(c+d*x^(1/2))),x, algorithm=""maxima"")","-2 \, b \int \frac{e^{\left(d \sqrt{x} + c\right)}}{a^{2} x^{\frac{5}{2}} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 2 \, a b x^{\frac{5}{2}} e^{\left(d \sqrt{x} + c\right)} + a^{2} x^{\frac{5}{2}}}\,{d x} - \frac{2}{3 \, a x^{\frac{3}{2}}}"," ",0,"-2*b*integrate(e^(d*sqrt(x) + c)/(a^2*x^(5/2)*e^(2*d*sqrt(x) + 2*c) + 2*a*b*x^(5/2)*e^(d*sqrt(x) + c) + a^2*x^(5/2)), x) - 2/3/(a*x^(3/2))","F",0
67,-2,0,0,0.000000," ","integrate(x^(3/2)/(a+b*sech(c+d*x^(1/2)))^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(a-b>0)', see `assume?` for more details)Is a-b positive or negative?","F(-2)",0
68,-2,0,0,0.000000," ","integrate(x^(1/2)/(a+b*sech(c+d*x^(1/2)))^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(a-b>0)', see `assume?` for more details)Is a-b positive or negative?","F(-2)",0
69,-2,0,0,0.000000," ","integrate(1/(a+b*sech(c+d*x^(1/2)))^2/x^(1/2),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
70,0,0,0,0.000000," ","integrate(1/x^(3/2)/(a+b*sech(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(2 \, a b^{2} + {\left(a^{3} d e^{\left(2 \, c\right)} - a b^{2} d e^{\left(2 \, c\right)}\right)} \sqrt{x} e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(b^{3} e^{c} + {\left(a^{2} b d e^{c} - b^{3} d e^{c}\right)} \sqrt{x}\right)} e^{\left(d \sqrt{x}\right)} + {\left(a^{3} d - a b^{2} d\right)} \sqrt{x}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} x e^{\left(d \sqrt{x}\right)} + {\left(a^{5} d - a^{3} b^{2} d\right)} x} - \int \frac{2 \, {\left(2 \, a b^{2} \sqrt{x} + {\left(2 \, b^{3} \sqrt{x} e^{c} + {\left(2 \, a^{2} b d e^{c} - b^{3} d e^{c}\right)} x\right)} e^{\left(d \sqrt{x}\right)}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{\frac{5}{2}} e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} x^{\frac{5}{2}} e^{\left(d \sqrt{x}\right)} + {\left(a^{5} d - a^{3} b^{2} d\right)} x^{\frac{5}{2}}}\,{d x}"," ",0,"-2*(2*a*b^2 + (a^3*d*e^(2*c) - a*b^2*d*e^(2*c))*sqrt(x)*e^(2*d*sqrt(x)) + 2*(b^3*e^c + (a^2*b*d*e^c - b^3*d*e^c)*sqrt(x))*e^(d*sqrt(x)) + (a^3*d - a*b^2*d)*sqrt(x))/((a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*x*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*x*e^(d*sqrt(x)) + (a^5*d - a^3*b^2*d)*x) - integrate(2*(2*a*b^2*sqrt(x) + (2*b^3*sqrt(x)*e^c + (2*a^2*b*d*e^c - b^3*d*e^c)*x)*e^(d*sqrt(x)))/((a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*x^(5/2)*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*x^(5/2)*e^(d*sqrt(x)) + (a^5*d - a^3*b^2*d)*x^(5/2)), 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=""maxima"")","-\frac{2 \, {\left(6 \, a b^{2} + {\left(a^{3} d e^{\left(2 \, c\right)} - a b^{2} d e^{\left(2 \, c\right)}\right)} \sqrt{x} e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(3 \, b^{3} e^{c} + {\left(a^{2} b d e^{c} - b^{3} d e^{c}\right)} \sqrt{x}\right)} e^{\left(d \sqrt{x}\right)} + {\left(a^{3} d - a b^{2} d\right)} \sqrt{x}\right)}}{3 \, {\left({\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} x^{2} e^{\left(d \sqrt{x}\right)} + {\left(a^{5} d - a^{3} b^{2} d\right)} x^{2}\right)}} - \int \frac{2 \, {\left(4 \, a b^{2} \sqrt{x} + {\left(4 \, b^{3} \sqrt{x} e^{c} + {\left(2 \, a^{2} b d e^{c} - b^{3} d e^{c}\right)} x\right)} e^{\left(d \sqrt{x}\right)}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} - a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{\frac{7}{2}} e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} - a^{2} b^{3} d e^{c}\right)} x^{\frac{7}{2}} e^{\left(d \sqrt{x}\right)} + {\left(a^{5} d - a^{3} b^{2} d\right)} x^{\frac{7}{2}}}\,{d x}"," ",0,"-2/3*(6*a*b^2 + (a^3*d*e^(2*c) - a*b^2*d*e^(2*c))*sqrt(x)*e^(2*d*sqrt(x)) + 2*(3*b^3*e^c + (a^2*b*d*e^c - b^3*d*e^c)*sqrt(x))*e^(d*sqrt(x)) + (a^3*d - a*b^2*d)*sqrt(x))/((a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*x^2*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*x^2*e^(d*sqrt(x)) + (a^5*d - a^3*b^2*d)*x^2) - integrate(2*(4*a*b^2*sqrt(x) + (4*b^3*sqrt(x)*e^c + (2*a^2*b*d*e^c - b^3*d*e^c)*x)*e^(d*sqrt(x)))/((a^5*d*e^(2*c) - a^3*b^2*d*e^(2*c))*x^(7/2)*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c - a^2*b^3*d*e^c)*x^(7/2)*e^(d*sqrt(x)) + (a^5*d - a^3*b^2*d)*x^(7/2)), x)","F",0
72,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*sech(c+d*x^n))^p,x, algorithm=""maxima"")","\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=""maxima"")","2 \, b \int \frac{\left(e x\right)^{n - 1}}{e^{\left(d x^{n} + c\right)} + e^{\left(-d x^{n} - c\right)}}\,{d x} + \frac{\left(e x\right)^{n} a}{e n}"," ",0,"2*b*integrate((e*x)^(n - 1)/(e^(d*x^n + c) + e^(-d*x^n - c)), x) + (e*x)^n*a/(e*n)","F",0
74,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(a+b*sech(c+d*x^n)),x, algorithm=""maxima"")","2 \, b \int \frac{\left(e x\right)^{2 \, n - 1}}{e^{\left(d x^{n} + c\right)} + e^{\left(-d x^{n} - c\right)}}\,{d x} + \frac{\left(e x\right)^{2 \, n} a}{2 \, e n}"," ",0,"2*b*integrate((e*x)^(2*n - 1)/(e^(d*x^n + c) + e^(-d*x^n - c)), x) + 1/2*(e*x)^(2*n)*a/(e*n)","F",0
75,0,0,0,0.000000," ","integrate((e*x)^(-1+3*n)*(a+b*sech(c+d*x^n)),x, algorithm=""maxima"")","2 \, b \int \frac{\left(e x\right)^{3 \, n - 1}}{e^{\left(d x^{n} + c\right)} + e^{\left(-d x^{n} - c\right)}}\,{d x} + \frac{\left(e x\right)^{3 \, n} a}{3 \, e n}"," ",0,"2*b*integrate((e*x)^(3*n - 1)/(e^(d*x^n + c) + e^(-d*x^n - c)), x) + 1/3*(e*x)^(3*n)*a/(e*n)","F",0
76,0,0,0,0.000000," ","integrate((e*x)^(-1+n)*(a+b*sech(c+d*x^n))^2,x, algorithm=""maxima"")","4 \, a b e^{n} \int \frac{e^{\left(d x^{n} + n \log\left(x\right) + c\right)}}{e x e^{\left(2 \, d x^{n} + 2 \, c\right)} + e x}\,{d x} - \frac{2 \, b^{2} e^{n}}{d e n e^{\left(2 \, d x^{n} + 2 \, c\right)} + d e n} + \frac{\left(e x\right)^{n} a^{2}}{e n}"," ",0,"4*a*b*e^n*integrate(e^(d*x^n + n*log(x) + c)/(e*x*e^(2*d*x^n + 2*c) + e*x), x) - 2*b^2*e^n/(d*e*n*e^(2*d*x^n + 2*c) + d*e*n) + (e*x)^n*a^2/(e*n)","F",0
77,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(a+b*sech(c+d*x^n))^2,x, algorithm=""maxima"")","4 \, a b e^{2 \, n} \int \frac{e^{\left(d x^{n} + 2 \, n \log\left(x\right) + c\right)}}{e x e^{\left(2 \, d x^{n} + 2 \, c\right)} + e x}\,{d x} + b^{2} {\left(\frac{2 \, e^{2 \, n} e^{\left(2 \, d x^{n} + n \log\left(x\right) + 2 \, c\right)}}{d e n e^{\left(2 \, d x^{n} + 2 \, c\right)} + d e n} - \frac{e^{2 \, n - 1} \log\left({\left(e^{\left(2 \, d x^{n} + 2 \, c\right)} + 1\right)} e^{\left(-2 \, c\right)}\right)}{d^{2} n}\right)} + \frac{\left(e x\right)^{2 \, n} a^{2}}{2 \, e n}"," ",0,"4*a*b*e^(2*n)*integrate(e^(d*x^n + 2*n*log(x) + c)/(e*x*e^(2*d*x^n + 2*c) + e*x), x) + b^2*(2*e^(2*n)*e^(2*d*x^n + n*log(x) + 2*c)/(d*e*n*e^(2*d*x^n + 2*c) + d*e*n) - e^(2*n - 1)*log((e^(2*d*x^n + 2*c) + 1)*e^(-2*c))/(d^2*n)) + 1/2*(e*x)^(2*n)*a^2/(e*n)","F",0
78,0,0,0,0.000000," ","integrate((e*x)^(-1+3*n)*(a+b*sech(c+d*x^n))^2,x, algorithm=""maxima"")","-\frac{2 \, b^{2} e^{3 \, n} x^{2 \, n}}{d e n e^{\left(2 \, d x^{n} + 2 \, c\right)} + d e n} + \frac{\left(e x\right)^{3 \, n} a^{2}}{3 \, e n} + \int \frac{4 \, {\left(a b d e^{3 \, n} e^{\left(d x^{n} + 3 \, n \log\left(x\right) + c\right)} + b^{2} e^{3 \, n} x^{2 \, n}\right)}}{d e x e^{\left(2 \, d x^{n} + 2 \, c\right)} + d e x}\,{d x}"," ",0,"-2*b^2*e^(3*n)*x^(2*n)/(d*e*n*e^(2*d*x^n + 2*c) + d*e*n) + 1/3*(e*x)^(3*n)*a^2/(e*n) + integrate(4*(a*b*d*e^(3*n)*e^(d*x^n + 3*n*log(x) + c) + b^2*e^(3*n)*x^(2*n))/(d*e*x*e^(2*d*x^n + 2*c) + d*e*x), x)","F",0
79,0,0,0,0.000000," ","integrate((e*x)^(-1+n)/(a+b*sech(c+d*x^n)),x, algorithm=""maxima"")","-2 \, b e^{n} \int \frac{e^{\left(d x^{n} + n \log\left(x\right) + c\right)}}{a^{2} e x e^{\left(2 \, d x^{n} + 2 \, c\right)} + 2 \, a b e x e^{\left(d x^{n} + c\right)} + a^{2} e x}\,{d x} + \frac{e^{n - 1} x^{n}}{a n}"," ",0,"-2*b*e^n*integrate(e^(d*x^n + n*log(x) + c)/(a^2*e*x*e^(2*d*x^n + 2*c) + 2*a*b*e*x*e^(d*x^n + c) + a^2*e*x), x) + e^(n - 1)*x^n/(a*n)","F",0
80,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)/(a+b*sech(c+d*x^n)),x, algorithm=""maxima"")","-2 \, b e^{2 \, n} \int \frac{e^{\left(d x^{n} + 2 \, n \log\left(x\right) + c\right)}}{a^{2} e x e^{\left(2 \, d x^{n} + 2 \, c\right)} + 2 \, a b e x e^{\left(d x^{n} + c\right)} + a^{2} e x}\,{d x} + \frac{e^{2 \, n - 1} x^{2 \, n}}{2 \, a n}"," ",0,"-2*b*e^(2*n)*integrate(e^(d*x^n + 2*n*log(x) + c)/(a^2*e*x*e^(2*d*x^n + 2*c) + 2*a*b*e*x*e^(d*x^n + c) + a^2*e*x), x) + 1/2*e^(2*n - 1)*x^(2*n)/(a*n)","F",0
81,0,0,0,0.000000," ","integrate((e*x)^(-1+3*n)/(a+b*sech(c+d*x^n)),x, algorithm=""maxima"")","-2 \, b e^{3 \, n} \int \frac{e^{\left(d x^{n} + 3 \, n \log\left(x\right) + c\right)}}{a^{2} e x e^{\left(2 \, d x^{n} + 2 \, c\right)} + 2 \, a b e x e^{\left(d x^{n} + c\right)} + a^{2} e x}\,{d x} + \frac{e^{3 \, n - 1} x^{3 \, n}}{3 \, a n}"," ",0,"-2*b*e^(3*n)*integrate(e^(d*x^n + 3*n*log(x) + c)/(a^2*e*x*e^(2*d*x^n + 2*c) + 2*a*b*e*x*e^(d*x^n + c) + a^2*e*x), x) + 1/3*e^(3*n - 1)*x^(3*n)/(a*n)","F",0
82,0,0,0,0.000000," ","integrate((e*x)^(-1+n)/(a+b*sech(c+d*x^n))^2,x, algorithm=""maxima"")","-2 \, {\left(2 \, a^{2} b e^{n} e^{c} - b^{3} e^{n} e^{c}\right)} \int \frac{e^{\left(d x^{n} + n \log\left(x\right)\right)}}{{\left(a^{5} e e^{\left(2 \, c\right)} - a^{3} b^{2} e e^{\left(2 \, c\right)}\right)} x e^{\left(2 \, d x^{n}\right)} + 2 \, {\left(a^{4} b e e^{c} - a^{2} b^{3} e e^{c}\right)} x e^{\left(d x^{n}\right)} + {\left(a^{5} e - a^{3} b^{2} e\right)} x}\,{d x} - \frac{2 \, a b^{2} e^{n} - {\left(a^{3} d e^{n} - a b^{2} d e^{n}\right)} x^{n} - {\left(a^{3} d e^{n} e^{\left(2 \, c\right)} - a b^{2} d e^{n} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{n} + n \log\left(x\right)\right)} + 2 \, {\left(b^{3} e^{n} e^{c} - {\left(a^{2} b d e^{n} e^{c} - b^{3} d e^{n} e^{c}\right)} x^{n}\right)} e^{\left(d x^{n}\right)}}{a^{5} d e n - a^{3} b^{2} d e n + {\left(a^{5} d e n e^{\left(2 \, c\right)} - a^{3} b^{2} d e n e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{n}\right)} + 2 \, {\left(a^{4} b d e n e^{c} - a^{2} b^{3} d e n e^{c}\right)} e^{\left(d x^{n}\right)}}"," ",0,"-2*(2*a^2*b*e^n*e^c - b^3*e^n*e^c)*integrate(e^(d*x^n + n*log(x))/((a^5*e*e^(2*c) - a^3*b^2*e*e^(2*c))*x*e^(2*d*x^n) + 2*(a^4*b*e*e^c - a^2*b^3*e*e^c)*x*e^(d*x^n) + (a^5*e - a^3*b^2*e)*x), x) - (2*a*b^2*e^n - (a^3*d*e^n - a*b^2*d*e^n)*x^n - (a^3*d*e^n*e^(2*c) - a*b^2*d*e^n*e^(2*c))*e^(2*d*x^n + n*log(x)) + 2*(b^3*e^n*e^c - (a^2*b*d*e^n*e^c - b^3*d*e^n*e^c)*x^n)*e^(d*x^n))/(a^5*d*e*n - a^3*b^2*d*e*n + (a^5*d*e*n*e^(2*c) - a^3*b^2*d*e*n*e^(2*c))*e^(2*d*x^n) + 2*(a^4*b*d*e*n*e^c - a^2*b^3*d*e*n*e^c)*e^(d*x^n))","F",0
83,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)/(a+b*sech(c+d*x^n))^2,x, algorithm=""maxima"")","-\frac{4 \, a b^{2} e^{2 \, n} x^{n} - {\left(a^{3} d e^{2 \, n} - a b^{2} d e^{2 \, n}\right)} x^{2 \, n} - {\left(a^{3} d e^{2 \, n} e^{\left(2 \, c\right)} - a b^{2} d e^{2 \, n} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{n} + 2 \, n \log\left(x\right)\right)} + 2 \, {\left(2 \, b^{3} e^{2 \, n} e^{\left(n \log\left(x\right) + c\right)} - {\left(a^{2} b d e^{2 \, n} e^{c} - b^{3} d e^{2 \, n} e^{c}\right)} x^{2 \, n}\right)} e^{\left(d x^{n}\right)}}{2 \, {\left(a^{5} d e n - a^{3} b^{2} d e n + {\left(a^{5} d e n e^{\left(2 \, c\right)} - a^{3} b^{2} d e n e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{n}\right)} + 2 \, {\left(a^{4} b d e n e^{c} - a^{2} b^{3} d e n e^{c}\right)} e^{\left(d x^{n}\right)}\right)}} - \int -\frac{2 \, {\left(a b^{2} e^{2 \, n} x^{n} + {\left(b^{3} e^{2 \, n} e^{\left(n \log\left(x\right) + c\right)} - {\left(2 \, a^{2} b d e^{2 \, n} e^{c} - b^{3} d e^{2 \, n} e^{c}\right)} x^{2 \, n}\right)} e^{\left(d x^{n}\right)}\right)}}{{\left(a^{5} d e e^{\left(2 \, c\right)} - a^{3} b^{2} d e e^{\left(2 \, c\right)}\right)} x e^{\left(2 \, d x^{n}\right)} + 2 \, {\left(a^{4} b d e e^{c} - a^{2} b^{3} d e e^{c}\right)} x e^{\left(d x^{n}\right)} + {\left(a^{5} d e - a^{3} b^{2} d e\right)} x}\,{d x}"," ",0,"-1/2*(4*a*b^2*e^(2*n)*x^n - (a^3*d*e^(2*n) - a*b^2*d*e^(2*n))*x^(2*n) - (a^3*d*e^(2*n)*e^(2*c) - a*b^2*d*e^(2*n)*e^(2*c))*e^(2*d*x^n + 2*n*log(x)) + 2*(2*b^3*e^(2*n)*e^(n*log(x) + c) - (a^2*b*d*e^(2*n)*e^c - b^3*d*e^(2*n)*e^c)*x^(2*n))*e^(d*x^n))/(a^5*d*e*n - a^3*b^2*d*e*n + (a^5*d*e*n*e^(2*c) - a^3*b^2*d*e*n*e^(2*c))*e^(2*d*x^n) + 2*(a^4*b*d*e*n*e^c - a^2*b^3*d*e*n*e^c)*e^(d*x^n)) - integrate(-2*(a*b^2*e^(2*n)*x^n + (b^3*e^(2*n)*e^(n*log(x) + c) - (2*a^2*b*d*e^(2*n)*e^c - b^3*d*e^(2*n)*e^c)*x^(2*n))*e^(d*x^n))/((a^5*d*e*e^(2*c) - a^3*b^2*d*e*e^(2*c))*x*e^(2*d*x^n) + 2*(a^4*b*d*e*e^c - a^2*b^3*d*e*e^c)*x*e^(d*x^n) + (a^5*d*e - a^3*b^2*d*e)*x), 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=""maxima"")","-\frac{6 \, a b^{2} e^{3 \, n} x^{2 \, n} - {\left(a^{3} d e^{3 \, n} - a b^{2} d e^{3 \, n}\right)} x^{3 \, n} - {\left(a^{3} d e^{3 \, n} e^{\left(2 \, c\right)} - a b^{2} d e^{3 \, n} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{n} + 3 \, n \log\left(x\right)\right)} + 2 \, {\left(3 \, b^{3} e^{3 \, n} e^{\left(2 \, n \log\left(x\right) + c\right)} - {\left(a^{2} b d e^{3 \, n} e^{c} - b^{3} d e^{3 \, n} e^{c}\right)} x^{3 \, n}\right)} e^{\left(d x^{n}\right)}}{3 \, {\left(a^{5} d e n - a^{3} b^{2} d e n + {\left(a^{5} d e n e^{\left(2 \, c\right)} - a^{3} b^{2} d e n e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{n}\right)} + 2 \, {\left(a^{4} b d e n e^{c} - a^{2} b^{3} d e n e^{c}\right)} e^{\left(d x^{n}\right)}\right)}} - \int -\frac{2 \, {\left(2 \, a b^{2} e^{3 \, n} x^{2 \, n} + {\left(2 \, b^{3} e^{3 \, n} e^{\left(2 \, n \log\left(x\right) + c\right)} - {\left(2 \, a^{2} b d e^{3 \, n} e^{c} - b^{3} d e^{3 \, n} e^{c}\right)} x^{3 \, n}\right)} e^{\left(d x^{n}\right)}\right)}}{{\left(a^{5} d e e^{\left(2 \, c\right)} - a^{3} b^{2} d e e^{\left(2 \, c\right)}\right)} x e^{\left(2 \, d x^{n}\right)} + 2 \, {\left(a^{4} b d e e^{c} - a^{2} b^{3} d e e^{c}\right)} x e^{\left(d x^{n}\right)} + {\left(a^{5} d e - a^{3} b^{2} d e\right)} x}\,{d x}"," ",0,"-1/3*(6*a*b^2*e^(3*n)*x^(2*n) - (a^3*d*e^(3*n) - a*b^2*d*e^(3*n))*x^(3*n) - (a^3*d*e^(3*n)*e^(2*c) - a*b^2*d*e^(3*n)*e^(2*c))*e^(2*d*x^n + 3*n*log(x)) + 2*(3*b^3*e^(3*n)*e^(2*n*log(x) + c) - (a^2*b*d*e^(3*n)*e^c - b^3*d*e^(3*n)*e^c)*x^(3*n))*e^(d*x^n))/(a^5*d*e*n - a^3*b^2*d*e*n + (a^5*d*e*n*e^(2*c) - a^3*b^2*d*e*n*e^(2*c))*e^(2*d*x^n) + 2*(a^4*b*d*e*n*e^c - a^2*b^3*d*e*n*e^c)*e^(d*x^n)) - integrate(-2*(2*a*b^2*e^(3*n)*x^(2*n) + (2*b^3*e^(3*n)*e^(2*n*log(x) + c) - (2*a^2*b*d*e^(3*n)*e^c - b^3*d*e^(3*n)*e^c)*x^(3*n))*e^(d*x^n))/((a^5*d*e*e^(2*c) - a^3*b^2*d*e*e^(2*c))*x*e^(2*d*x^n) + 2*(a^4*b*d*e*e^c - a^2*b^3*d*e*e^c)*x*e^(d*x^n) + (a^5*d*e - a^3*b^2*d*e)*x), x)","F",0
