1,1,158,0,0.358086," ","integrate(x^6*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{7} \, a x^{7} + \frac{1}{672} \, {\left(96 \, x^{7} \operatorname{arcsch}\left(c x\right) + \frac{\frac{2 \, {\left(15 \, {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} - 40 \, {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} + 33 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}\right)}}{c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{3} - 3 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{2} + 3 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - c^{6}} - \frac{15 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{6}} + \frac{15 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{6}}}{c}\right)} b"," ",0,"1/7*a*x^7 + 1/672*(96*x^7*arccsch(c*x) + (2*(15*(1/(c^2*x^2) + 1)^(5/2) - 40*(1/(c^2*x^2) + 1)^(3/2) + 33*sqrt(1/(c^2*x^2) + 1))/(c^6*(1/(c^2*x^2) + 1)^3 - 3*c^6*(1/(c^2*x^2) + 1)^2 + 3*c^6*(1/(c^2*x^2) + 1) - c^6) - 15*log(sqrt(1/(c^2*x^2) + 1) + 1)/c^6 + 15*log(sqrt(1/(c^2*x^2) + 1) - 1)/c^6)/c)*b","A",0
2,1,77,0,0.308770," ","integrate(x^5*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{6} \, a x^{6} + \frac{1}{90} \, {\left(15 \, x^{6} \operatorname{arcsch}\left(c x\right) + \frac{3 \, c^{4} x^{5} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} - 10 \, c^{2} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} + 15 \, x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{5}}\right)} b"," ",0,"1/6*a*x^6 + 1/90*(15*x^6*arccsch(c*x) + (3*c^4*x^5*(1/(c^2*x^2) + 1)^(5/2) - 10*c^2*x^3*(1/(c^2*x^2) + 1)^(3/2) + 15*x*sqrt(1/(c^2*x^2) + 1))/c^5)*b","A",0
3,1,128,0,0.368684," ","integrate(x^4*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{5} \, a x^{5} + \frac{1}{80} \, {\left(16 \, x^{5} \operatorname{arcsch}\left(c x\right) - \frac{\frac{2 \, {\left(3 \, {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 5 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}\right)}}{c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{2} - 2 \, c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} + c^{4}} - \frac{3 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{4}} + \frac{3 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{4}}}{c}\right)} b"," ",0,"1/5*a*x^5 + 1/80*(16*x^5*arccsch(c*x) - (2*(3*(1/(c^2*x^2) + 1)^(3/2) - 5*sqrt(1/(c^2*x^2) + 1))/(c^4*(1/(c^2*x^2) + 1)^2 - 2*c^4*(1/(c^2*x^2) + 1) + c^4) - 3*log(sqrt(1/(c^2*x^2) + 1) + 1)/c^4 + 3*log(sqrt(1/(c^2*x^2) + 1) - 1)/c^4)/c)*b","A",0
4,1,57,0,0.316006," ","integrate(x^3*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{4} \, a x^{4} + \frac{1}{12} \, {\left(3 \, x^{4} \operatorname{arcsch}\left(c x\right) + \frac{c^{2} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{3}}\right)} b"," ",0,"1/4*a*x^4 + 1/12*(3*x^4*arccsch(c*x) + (c^2*x^3*(1/(c^2*x^2) + 1)^(3/2) - 3*x*sqrt(1/(c^2*x^2) + 1))/c^3)*b","A",0
5,1,96,0,0.344424," ","integrate(x^2*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{3} \, a x^{3} + \frac{1}{12} \, {\left(4 \, x^{3} \operatorname{arcsch}\left(c x\right) + \frac{\frac{2 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - c^{2}} - \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{2}} + \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{2}}}{c}\right)} b"," ",0,"1/3*a*x^3 + 1/12*(4*x^3*arccsch(c*x) + (2*sqrt(1/(c^2*x^2) + 1)/(c^2*(1/(c^2*x^2) + 1) - c^2) - log(sqrt(1/(c^2*x^2) + 1) + 1)/c^2 + log(sqrt(1/(c^2*x^2) + 1) - 1)/c^2)/c)*b","A",0
6,1,35,0,0.375434," ","integrate(x*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{2} \, a x^{2} + \frac{1}{2} \, {\left(x^{2} \operatorname{arcsch}\left(c x\right) + \frac{x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c}\right)} b"," ",0,"1/2*a*x^2 + 1/2*(x^2*arccsch(c*x) + x*sqrt(1/(c^2*x^2) + 1)/c)*b","A",0
7,1,49,0,0.328310," ","integrate(a+b*arccsch(c*x),x, algorithm=""maxima"")","a x + \frac{{\left(2 \, c x \operatorname{arcsch}\left(c x\right) + \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)\right)} b}{2 \, c}"," ",0,"a*x + 1/2*(2*c*x*arccsch(c*x) + log(sqrt(1/(c^2*x^2) + 1) + 1) - log(sqrt(1/(c^2*x^2) + 1) - 1))*b/c","A",0
8,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(4 \, c^{2} \int \frac{x^{2} \log\left(x\right)}{c^{2} x^{3} + x}\,{d x} - 2 \, c^{2} \int \frac{x \log\left(x\right)}{c^{2} x^{2} + {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} + 1}\,{d x} - {\left(\log\left(c^{2} x^{2} + 1\right) - 2 \, \log\left(x\right)\right)} \log\left(c\right) + \log\left(c^{2} x^{2} + 1\right) \log\left(c\right) - 2 \, \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 2 \, \int \frac{\log\left(x\right)}{c^{2} x^{3} + x}\,{d x}\right)} b + a \log\left(x\right)"," ",0,"-1/2*(4*c^2*integrate(x^2*log(x)/(c^2*x^3 + x), x) - 2*c^2*integrate(x*log(x)/(c^2*x^2 + (c^2*x^2 + 1)^(3/2) + 1), x) - (log(c^2*x^2 + 1) - 2*log(x))*log(c) + log(c^2*x^2 + 1)*log(c) - 2*log(x)*log(sqrt(c^2*x^2 + 1) + 1) + 2*integrate(log(x)/(c^2*x^3 + x), x))*b + a*log(x)","F",0
9,1,32,0,0.351472," ","integrate((a+b*arccsch(c*x))/x^2,x, algorithm=""maxima"")","{\left(c \sqrt{\frac{1}{c^{2} x^{2}} + 1} - \frac{\operatorname{arcsch}\left(c x\right)}{x}\right)} b - \frac{a}{x}"," ",0,"(c*sqrt(1/(c^2*x^2) + 1) - arccsch(c*x)/x)*b - a/x","A",0
10,1,105,0,0.389378," ","integrate((a+b*arccsch(c*x))/x^3,x, algorithm=""maxima"")","\frac{1}{8} \, b {\left(\frac{\frac{2 \, c^{4} x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{2} x^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - 1} - c^{3} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) + c^{3} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c} - \frac{4 \, \operatorname{arcsch}\left(c x\right)}{x^{2}}\right)} - \frac{a}{2 \, x^{2}}"," ",0,"1/8*b*((2*c^4*x*sqrt(1/(c^2*x^2) + 1)/(c^2*x^2*(1/(c^2*x^2) + 1) - 1) - c^3*log(c*x*sqrt(1/(c^2*x^2) + 1) + 1) + c^3*log(c*x*sqrt(1/(c^2*x^2) + 1) - 1))/c - 4*arccsch(c*x)/x^2) - 1/2*a/x^2","B",0
11,1,56,0,0.370010," ","integrate((a+b*arccsch(c*x))/x^4,x, algorithm=""maxima"")","\frac{1}{9} \, b {\left(\frac{c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, c^{4} \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c} - \frac{3 \, \operatorname{arcsch}\left(c x\right)}{x^{3}}\right)} - \frac{a}{3 \, x^{3}}"," ",0,"1/9*b*((c^4*(1/(c^2*x^2) + 1)^(3/2) - 3*c^4*sqrt(1/(c^2*x^2) + 1))/c - 3*arccsch(c*x)/x^3) - 1/3*a/x^3","A",0
12,1,147,0,0.328658," ","integrate((a+b*arccsch(c*x))/x^5,x, algorithm=""maxima"")","\frac{1}{64} \, b {\left(\frac{3 \, c^{5} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - 3 \, c^{5} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right) - \frac{2 \, {\left(3 \, c^{8} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 5 \, c^{6} x \sqrt{\frac{1}{c^{2} x^{2}} + 1}\right)}}{c^{4} x^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{2} - 2 \, c^{2} x^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} + 1}}{c} - \frac{16 \, \operatorname{arcsch}\left(c x\right)}{x^{4}}\right)} - \frac{a}{4 \, x^{4}}"," ",0,"1/64*b*((3*c^5*log(c*x*sqrt(1/(c^2*x^2) + 1) + 1) - 3*c^5*log(c*x*sqrt(1/(c^2*x^2) + 1) - 1) - 2*(3*c^8*x^3*(1/(c^2*x^2) + 1)^(3/2) - 5*c^6*x*sqrt(1/(c^2*x^2) + 1))/(c^4*x^4*(1/(c^2*x^2) + 1)^2 - 2*c^2*x^2*(1/(c^2*x^2) + 1) + 1))/c - 16*arccsch(c*x)/x^4) - 1/4*a/x^4","B",0
13,1,73,0,0.311669," ","integrate((a+b*arccsch(c*x))/x^6,x, algorithm=""maxima"")","\frac{1}{75} \, b {\left(\frac{3 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} - 10 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} + 15 \, c^{6} \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c} - \frac{15 \, \operatorname{arcsch}\left(c x\right)}{x^{5}}\right)} - \frac{a}{5 \, x^{5}}"," ",0,"1/75*b*((3*c^6*(1/(c^2*x^2) + 1)^(5/2) - 10*c^6*(1/(c^2*x^2) + 1)^(3/2) + 15*c^6*sqrt(1/(c^2*x^2) + 1))/c - 15*arccsch(c*x)/x^5) - 1/5*a/x^5","A",0
14,1,185,0,0.307098," ","integrate((a+b*arccsch(c*x))/x^7,x, algorithm=""maxima"")","-\frac{1}{576} \, b {\left(\frac{15 \, c^{7} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - 15 \, c^{7} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right) - \frac{2 \, {\left(15 \, c^{12} x^{5} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} - 40 \, c^{10} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} + 33 \, c^{8} x \sqrt{\frac{1}{c^{2} x^{2}} + 1}\right)}}{c^{6} x^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{3} - 3 \, c^{4} x^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{2} + 3 \, c^{2} x^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - 1}}{c} + \frac{96 \, \operatorname{arcsch}\left(c x\right)}{x^{6}}\right)} - \frac{a}{6 \, x^{6}}"," ",0,"-1/576*b*((15*c^7*log(c*x*sqrt(1/(c^2*x^2) + 1) + 1) - 15*c^7*log(c*x*sqrt(1/(c^2*x^2) + 1) - 1) - 2*(15*c^12*x^5*(1/(c^2*x^2) + 1)^(5/2) - 40*c^10*x^3*(1/(c^2*x^2) + 1)^(3/2) + 33*c^8*x*sqrt(1/(c^2*x^2) + 1))/(c^6*x^6*(1/(c^2*x^2) + 1)^3 - 3*c^4*x^4*(1/(c^2*x^2) + 1)^2 + 3*c^2*x^2*(1/(c^2*x^2) + 1) - 1))/c + 96*arccsch(c*x)/x^6) - 1/6*a/x^6","B",0
15,0,0,0,0.000000," ","integrate(x^3*(a+b*arccsch(c*x))^2,x, algorithm=""maxima"")","\frac{1}{4} \, a^{2} x^{4} + \frac{1}{6} \, {\left(3 \, x^{4} \operatorname{arcsch}\left(c x\right) + \frac{c^{2} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{3}}\right)} a b + \frac{1}{288} \, {\left(72 \, x^{4} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2} + 1152 \, c^{2} \int \frac{x^{5} \log\left(x\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - 1152 \, c^{2} \int \frac{x^{5} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) + 576 \, c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{5} \log\left(x\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 1152 \, c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{5} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 576 \, c^{2} \int \frac{x^{5} \log\left(x\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 1152 \, c^{2} \int \frac{x^{5} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 1152 \, \int \frac{x^{3} \log\left(x\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - 1152 \, \int \frac{x^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - \frac{24 \, {\left(6 \, c^{2} x^{2} - 3 \, {\left(c^{2} x^{2} + 1\right)}^{2} + 4 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} - 12 \, \sqrt{c^{2} x^{2} + 1} + 6\right)} \log\left(c\right)^{2}}{c^{4}} - \frac{48 \, {\left(3 \, c^{2} x^{2} - 2 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} + 6 \, \sqrt{c^{2} x^{2} + 1} - 3 \, \log\left(c^{2} x^{2} + 1\right) + 3\right)} \log\left(c\right)^{2}}{c^{4}} + \frac{144 \, {\left(c^{2} x^{2} - 2 \, \sqrt{c^{2} x^{2} + 1} + 1\right)} \log\left(c\right)^{2}}{c^{4}} + \frac{144 \, {\left(2 \, \sqrt{c^{2} x^{2} + 1} - \log\left(c^{2} x^{2} + 1\right)\right)} \log\left(c\right)^{2}}{c^{4}} - \frac{48 \, {\left(6 \, c^{2} x^{2} - 3 \, {\left(c^{2} x^{2} + 1\right)}^{2} + 4 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} - 12 \, \sqrt{c^{2} x^{2} + 1} + 6\right)} \log\left(c\right) \log\left(x\right)}{c^{4}} + \frac{288 \, {\left(c^{2} x^{2} - 2 \, \sqrt{c^{2} x^{2} + 1} + 1\right)} \log\left(c\right) \log\left(x\right)}{c^{4}} + \frac{48 \, {\left(6 \, c^{2} x^{2} - 3 \, {\left(c^{2} x^{2} + 1\right)}^{2} + 4 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} - 12 \, \sqrt{c^{2} x^{2} + 1} + 6\right)} \log\left(c\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{c^{4}} - \frac{288 \, {\left(c^{2} x^{2} - 2 \, \sqrt{c^{2} x^{2} + 1} + 1\right)} \log\left(c\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{c^{4}} + \frac{4 \, {\left(18 \, c^{2} x^{2} - 9 \, {\left(c^{2} x^{2} + 1\right)}^{2} + 16 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} - 96 \, \sqrt{c^{2} x^{2} + 1} + 66 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) - 30 \, \log\left(\sqrt{c^{2} x^{2} + 1} - 1\right) + 18\right)} \log\left(c\right)}{c^{4}} + \frac{4 \, {\left(6 \, c^{2} x^{2} + 9 \, {\left(c^{2} x^{2} + 1\right)}^{2} - 28 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} + 132 \, \sqrt{c^{2} x^{2} + 1} - 132 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 6\right)} \log\left(c\right)}{c^{4}} - \frac{144 \, {\left(c^{2} x^{2} - 4 \, \sqrt{c^{2} x^{2} + 1} + 3 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) - \log\left(\sqrt{c^{2} x^{2} + 1} - 1\right) + 1\right)} \log\left(c\right)}{c^{4}} + \frac{144 \, {\left(c^{2} x^{2} - 6 \, \sqrt{c^{2} x^{2} + 1} + 6 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 1\right)} \log\left(c\right)}{c^{4}} + \frac{12 \, {\left(6 \, c^{2} x^{2} - 3 \, {\left(c^{2} x^{2} + 1\right)}^{2} + 4 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} - 12 \, \sqrt{c^{2} x^{2} + 1} + 6\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{c^{4}} + \frac{6 \, c^{2} x^{2} + 9 \, {\left(c^{2} x^{2} + 1\right)}^{2} - 28 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} + 132 \, \sqrt{c^{2} x^{2} + 1} - 132 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 6}{c^{4}} + 576 \, \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(x\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 1152 \, \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 576 \, \int \frac{x^{3} \log\left(x\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 1152 \, \int \frac{x^{3} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x}\right)} b^{2}"," ",0,"1/4*a^2*x^4 + 1/6*(3*x^4*arccsch(c*x) + (c^2*x^3*(1/(c^2*x^2) + 1)^(3/2) - 3*x*sqrt(1/(c^2*x^2) + 1))/c^3)*a*b + 1/288*(72*x^4*log(sqrt(c^2*x^2 + 1) + 1)^2 + 1152*c^2*integrate(1/2*x^5*log(x)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 1152*c^2*integrate(1/2*x^5*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) + 576*c^2*integrate(1/2*sqrt(c^2*x^2 + 1)*x^5*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 1152*c^2*integrate(1/2*sqrt(c^2*x^2 + 1)*x^5*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 576*c^2*integrate(1/2*x^5*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 1152*c^2*integrate(1/2*x^5*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 1152*integrate(1/2*x^3*log(x)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 1152*integrate(1/2*x^3*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 24*(6*c^2*x^2 - 3*(c^2*x^2 + 1)^2 + 4*(c^2*x^2 + 1)^(3/2) - 12*sqrt(c^2*x^2 + 1) + 6)*log(c)^2/c^4 - 48*(3*c^2*x^2 - 2*(c^2*x^2 + 1)^(3/2) + 6*sqrt(c^2*x^2 + 1) - 3*log(c^2*x^2 + 1) + 3)*log(c)^2/c^4 + 144*(c^2*x^2 - 2*sqrt(c^2*x^2 + 1) + 1)*log(c)^2/c^4 + 144*(2*sqrt(c^2*x^2 + 1) - log(c^2*x^2 + 1))*log(c)^2/c^4 - 48*(6*c^2*x^2 - 3*(c^2*x^2 + 1)^2 + 4*(c^2*x^2 + 1)^(3/2) - 12*sqrt(c^2*x^2 + 1) + 6)*log(c)*log(x)/c^4 + 288*(c^2*x^2 - 2*sqrt(c^2*x^2 + 1) + 1)*log(c)*log(x)/c^4 + 48*(6*c^2*x^2 - 3*(c^2*x^2 + 1)^2 + 4*(c^2*x^2 + 1)^(3/2) - 12*sqrt(c^2*x^2 + 1) + 6)*log(c)*log(sqrt(c^2*x^2 + 1) + 1)/c^4 - 288*(c^2*x^2 - 2*sqrt(c^2*x^2 + 1) + 1)*log(c)*log(sqrt(c^2*x^2 + 1) + 1)/c^4 + 4*(18*c^2*x^2 - 9*(c^2*x^2 + 1)^2 + 16*(c^2*x^2 + 1)^(3/2) - 96*sqrt(c^2*x^2 + 1) + 66*log(sqrt(c^2*x^2 + 1) + 1) - 30*log(sqrt(c^2*x^2 + 1) - 1) + 18)*log(c)/c^4 + 4*(6*c^2*x^2 + 9*(c^2*x^2 + 1)^2 - 28*(c^2*x^2 + 1)^(3/2) + 132*sqrt(c^2*x^2 + 1) - 132*log(sqrt(c^2*x^2 + 1) + 1) + 6)*log(c)/c^4 - 144*(c^2*x^2 - 4*sqrt(c^2*x^2 + 1) + 3*log(sqrt(c^2*x^2 + 1) + 1) - log(sqrt(c^2*x^2 + 1) - 1) + 1)*log(c)/c^4 + 144*(c^2*x^2 - 6*sqrt(c^2*x^2 + 1) + 6*log(sqrt(c^2*x^2 + 1) + 1) + 1)*log(c)/c^4 + 12*(6*c^2*x^2 - 3*(c^2*x^2 + 1)^2 + 4*(c^2*x^2 + 1)^(3/2) - 12*sqrt(c^2*x^2 + 1) + 6)*log(sqrt(c^2*x^2 + 1) + 1)/c^4 + (6*c^2*x^2 + 9*(c^2*x^2 + 1)^2 - 28*(c^2*x^2 + 1)^(3/2) + 132*sqrt(c^2*x^2 + 1) - 132*log(sqrt(c^2*x^2 + 1) + 1) + 6)/c^4 + 576*integrate(1/2*sqrt(c^2*x^2 + 1)*x^3*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 1152*integrate(1/2*sqrt(c^2*x^2 + 1)*x^3*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 576*integrate(1/2*x^3*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 1152*integrate(1/2*x^3*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x))*b^2","F",0
16,0,0,0,0.000000," ","integrate(x^2*(a+b*arccsch(c*x))^2,x, algorithm=""maxima"")","\frac{1}{3} \, a^{2} x^{3} + \frac{1}{6} \, {\left(4 \, x^{3} \operatorname{arcsch}\left(c x\right) + \frac{\frac{2 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - c^{2}} - \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{2}} + \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{2}}}{c}\right)} a b + \frac{1}{3} \, {\left(x^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2} - 3 \, \int -\frac{3 \, c^{2} x^{4} \log\left(c\right)^{2} + 3 \, x^{2} \log\left(c\right)^{2} + 3 \, {\left(c^{2} x^{4} + x^{2}\right)} \log\left(x\right)^{2} + 6 \, {\left(c^{2} x^{4} \log\left(c\right) + x^{2} \log\left(c\right)\right)} \log\left(x\right) - 2 \, {\left(3 \, c^{2} x^{4} \log\left(c\right) + 3 \, x^{2} \log\left(c\right) + 3 \, {\left(c^{2} x^{4} + x^{2}\right)} \log\left(x\right) + {\left(c^{2} x^{4} {\left(3 \, \log\left(c\right) + 1\right)} + 3 \, x^{2} \log\left(c\right) + 3 \, {\left(c^{2} x^{4} + x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 3 \, {\left(c^{2} x^{4} \log\left(c\right)^{2} + x^{2} \log\left(c\right)^{2} + {\left(c^{2} x^{4} + x^{2}\right)} \log\left(x\right)^{2} + 2 \, {\left(c^{2} x^{4} \log\left(c\right) + x^{2} \log\left(c\right)\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}}{3 \, {\left(c^{2} x^{2} + {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} + 1\right)}}\,{d x}\right)} b^{2}"," ",0,"1/3*a^2*x^3 + 1/6*(4*x^3*arccsch(c*x) + (2*sqrt(1/(c^2*x^2) + 1)/(c^2*(1/(c^2*x^2) + 1) - c^2) - log(sqrt(1/(c^2*x^2) + 1) + 1)/c^2 + log(sqrt(1/(c^2*x^2) + 1) - 1)/c^2)/c)*a*b + 1/3*(x^3*log(sqrt(c^2*x^2 + 1) + 1)^2 - 3*integrate(-1/3*(3*c^2*x^4*log(c)^2 + 3*x^2*log(c)^2 + 3*(c^2*x^4 + x^2)*log(x)^2 + 6*(c^2*x^4*log(c) + x^2*log(c))*log(x) - 2*(3*c^2*x^4*log(c) + 3*x^2*log(c) + 3*(c^2*x^4 + x^2)*log(x) + (c^2*x^4*(3*log(c) + 1) + 3*x^2*log(c) + 3*(c^2*x^4 + x^2)*log(x))*sqrt(c^2*x^2 + 1))*log(sqrt(c^2*x^2 + 1) + 1) + 3*(c^2*x^4*log(c)^2 + x^2*log(c)^2 + (c^2*x^4 + x^2)*log(x)^2 + 2*(c^2*x^4*log(c) + x^2*log(c))*log(x))*sqrt(c^2*x^2 + 1))/(c^2*x^2 + (c^2*x^2 + 1)^(3/2) + 1), x))*b^2","F",0
17,1,82,0,0.360340," ","integrate(x*(a+b*arccsch(c*x))^2,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} x^{2} \operatorname{arcsch}\left(c x\right)^{2} + \frac{1}{2} \, a^{2} x^{2} + {\left(x^{2} \operatorname{arcsch}\left(c x\right) + \frac{x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c}\right)} a b + {\left(\frac{x \sqrt{\frac{1}{c^{2} x^{2}} + 1} \operatorname{arcsch}\left(c x\right)}{c} + \frac{\log\left(x\right)}{c^{2}}\right)} b^{2}"," ",0,"1/2*b^2*x^2*arccsch(c*x)^2 + 1/2*a^2*x^2 + (x^2*arccsch(c*x) + x*sqrt(1/(c^2*x^2) + 1)/c)*a*b + (x*sqrt(1/(c^2*x^2) + 1)*arccsch(c*x)/c + log(x)/c^2)*b^2","A",0
18,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))^2,x, algorithm=""maxima"")","{\left(x \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2} - \int -\frac{c^{2} x^{2} \log\left(c\right)^{2} + {\left(c^{2} x^{2} + 1\right)} \log\left(x\right)^{2} + \log\left(c\right)^{2} + 2 \, {\left(c^{2} x^{2} \log\left(c\right) + \log\left(c\right)\right)} \log\left(x\right) - 2 \, {\left(c^{2} x^{2} \log\left(c\right) + {\left(c^{2} x^{2} + 1\right)} \log\left(x\right) + {\left(c^{2} x^{2} {\left(\log\left(c\right) + 1\right)} + {\left(c^{2} x^{2} + 1\right)} \log\left(x\right) + \log\left(c\right)\right)} \sqrt{c^{2} x^{2} + 1} + \log\left(c\right)\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + {\left(c^{2} x^{2} \log\left(c\right)^{2} + {\left(c^{2} x^{2} + 1\right)} \log\left(x\right)^{2} + \log\left(c\right)^{2} + 2 \, {\left(c^{2} x^{2} \log\left(c\right) + \log\left(c\right)\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}}{c^{2} x^{2} + {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} + 1}\,{d x}\right)} b^{2} + a^{2} x + \frac{{\left(2 \, c x \operatorname{arcsch}\left(c x\right) + \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)\right)} a b}{c}"," ",0,"(x*log(sqrt(c^2*x^2 + 1) + 1)^2 - integrate(-(c^2*x^2*log(c)^2 + (c^2*x^2 + 1)*log(x)^2 + log(c)^2 + 2*(c^2*x^2*log(c) + log(c))*log(x) - 2*(c^2*x^2*log(c) + (c^2*x^2 + 1)*log(x) + (c^2*x^2*(log(c) + 1) + (c^2*x^2 + 1)*log(x) + log(c))*sqrt(c^2*x^2 + 1) + log(c))*log(sqrt(c^2*x^2 + 1) + 1) + (c^2*x^2*log(c)^2 + (c^2*x^2 + 1)*log(x)^2 + log(c)^2 + 2*(c^2*x^2*log(c) + log(c))*log(x))*sqrt(c^2*x^2 + 1))/(c^2*x^2 + (c^2*x^2 + 1)^(3/2) + 1), x))*b^2 + a^2*x + (2*c*x*arccsch(c*x) + log(sqrt(1/(c^2*x^2) + 1) + 1) - log(sqrt(1/(c^2*x^2) + 1) - 1))*a*b/c","F",0
19,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))^2/x,x, algorithm=""maxima"")","b^{2} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2} + a^{2} \log\left(x\right) - \int -\frac{b^{2} \log\left(c\right)^{2} + {\left(b^{2} c^{2} \log\left(c\right)^{2} - 2 \, a b c^{2} \log\left(c\right)\right)} x^{2} - 2 \, a b \log\left(c\right) + {\left(b^{2} c^{2} x^{2} + b^{2}\right)} \log\left(x\right)^{2} + 2 \, {\left({\left(b^{2} c^{2} \log\left(c\right) - a b c^{2}\right)} x^{2} + b^{2} \log\left(c\right) - a b\right)} \log\left(x\right) - 2 \, {\left({\left(b^{2} c^{2} \log\left(c\right) - a b c^{2}\right)} x^{2} + b^{2} \log\left(c\right) - a b + {\left(b^{2} c^{2} x^{2} + b^{2}\right)} \log\left(x\right) + \sqrt{c^{2} x^{2} + 1} {\left({\left(b^{2} c^{2} \log\left(c\right) - a b c^{2}\right)} x^{2} + b^{2} \log\left(c\right) - a b + {\left(2 \, b^{2} c^{2} x^{2} + b^{2}\right)} \log\left(x\right)\right)}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + \sqrt{c^{2} x^{2} + 1} {\left(b^{2} \log\left(c\right)^{2} + {\left(b^{2} c^{2} \log\left(c\right)^{2} - 2 \, a b c^{2} \log\left(c\right)\right)} x^{2} - 2 \, a b \log\left(c\right) + {\left(b^{2} c^{2} x^{2} + b^{2}\right)} \log\left(x\right)^{2} + 2 \, {\left({\left(b^{2} c^{2} \log\left(c\right) - a b c^{2}\right)} x^{2} + b^{2} \log\left(c\right) - a b\right)} \log\left(x\right)\right)}}{c^{2} x^{3} + {\left(c^{2} x^{3} + x\right)} \sqrt{c^{2} x^{2} + 1} + x}\,{d x}"," ",0,"b^2*log(x)*log(sqrt(c^2*x^2 + 1) + 1)^2 + a^2*log(x) - integrate(-(b^2*log(c)^2 + (b^2*c^2*log(c)^2 - 2*a*b*c^2*log(c))*x^2 - 2*a*b*log(c) + (b^2*c^2*x^2 + b^2)*log(x)^2 + 2*((b^2*c^2*log(c) - a*b*c^2)*x^2 + b^2*log(c) - a*b)*log(x) - 2*((b^2*c^2*log(c) - a*b*c^2)*x^2 + b^2*log(c) - a*b + (b^2*c^2*x^2 + b^2)*log(x) + sqrt(c^2*x^2 + 1)*((b^2*c^2*log(c) - a*b*c^2)*x^2 + b^2*log(c) - a*b + (2*b^2*c^2*x^2 + b^2)*log(x)))*log(sqrt(c^2*x^2 + 1) + 1) + sqrt(c^2*x^2 + 1)*(b^2*log(c)^2 + (b^2*c^2*log(c)^2 - 2*a*b*c^2*log(c))*x^2 - 2*a*b*log(c) + (b^2*c^2*x^2 + b^2)*log(x)^2 + 2*((b^2*c^2*log(c) - a*b*c^2)*x^2 + b^2*log(c) - a*b)*log(x)))/(c^2*x^3 + (c^2*x^3 + x)*sqrt(c^2*x^2 + 1) + x), x)","F",0
20,1,78,0,0.333687," ","integrate((a+b*arccsch(c*x))^2/x^2,x, algorithm=""maxima"")","2 \, {\left(c \sqrt{\frac{1}{c^{2} x^{2}} + 1} - \frac{\operatorname{arcsch}\left(c x\right)}{x}\right)} a b + 2 \, {\left(c \sqrt{\frac{1}{c^{2} x^{2}} + 1} \operatorname{arcsch}\left(c x\right) - \frac{1}{x}\right)} b^{2} - \frac{b^{2} \operatorname{arcsch}\left(c x\right)^{2}}{x} - \frac{a^{2}}{x}"," ",0,"2*(c*sqrt(1/(c^2*x^2) + 1) - arccsch(c*x)/x)*a*b + 2*(c*sqrt(1/(c^2*x^2) + 1)*arccsch(c*x) - 1/x)*b^2 - b^2*arccsch(c*x)^2/x - a^2/x","A",0
21,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))^2/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, a b {\left(\frac{\frac{2 \, c^{4} x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{2} x^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - 1} - c^{3} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) + c^{3} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c} - \frac{4 \, \operatorname{arcsch}\left(c x\right)}{x^{2}}\right)} - \frac{1}{2} \, b^{2} {\left(\frac{\log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{x^{2}} + 2 \, \int -\frac{c^{2} x^{2} \log\left(c\right)^{2} + {\left(c^{2} x^{2} + 1\right)} \log\left(x\right)^{2} + \log\left(c\right)^{2} + 2 \, {\left(c^{2} x^{2} \log\left(c\right) + \log\left(c\right)\right)} \log\left(x\right) - {\left(2 \, c^{2} x^{2} \log\left(c\right) + 2 \, {\left(c^{2} x^{2} + 1\right)} \log\left(x\right) + {\left(c^{2} x^{2} {\left(2 \, \log\left(c\right) - 1\right)} + 2 \, {\left(c^{2} x^{2} + 1\right)} \log\left(x\right) + 2 \, \log\left(c\right)\right)} \sqrt{c^{2} x^{2} + 1} + 2 \, \log\left(c\right)\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + {\left(c^{2} x^{2} \log\left(c\right)^{2} + {\left(c^{2} x^{2} + 1\right)} \log\left(x\right)^{2} + \log\left(c\right)^{2} + 2 \, {\left(c^{2} x^{2} \log\left(c\right) + \log\left(c\right)\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}}{c^{2} x^{5} + x^{3} + {\left(c^{2} x^{5} + x^{3}\right)} \sqrt{c^{2} x^{2} + 1}}\,{d x}\right)} - \frac{a^{2}}{2 \, x^{2}}"," ",0,"1/4*a*b*((2*c^4*x*sqrt(1/(c^2*x^2) + 1)/(c^2*x^2*(1/(c^2*x^2) + 1) - 1) - c^3*log(c*x*sqrt(1/(c^2*x^2) + 1) + 1) + c^3*log(c*x*sqrt(1/(c^2*x^2) + 1) - 1))/c - 4*arccsch(c*x)/x^2) - 1/2*b^2*(log(sqrt(c^2*x^2 + 1) + 1)^2/x^2 + 2*integrate(-(c^2*x^2*log(c)^2 + (c^2*x^2 + 1)*log(x)^2 + log(c)^2 + 2*(c^2*x^2*log(c) + log(c))*log(x) - (2*c^2*x^2*log(c) + 2*(c^2*x^2 + 1)*log(x) + (c^2*x^2*(2*log(c) - 1) + 2*(c^2*x^2 + 1)*log(x) + 2*log(c))*sqrt(c^2*x^2 + 1) + 2*log(c))*log(sqrt(c^2*x^2 + 1) + 1) + (c^2*x^2*log(c)^2 + (c^2*x^2 + 1)*log(x)^2 + log(c)^2 + 2*(c^2*x^2*log(c) + log(c))*log(x))*sqrt(c^2*x^2 + 1))/(c^2*x^5 + x^3 + (c^2*x^5 + x^3)*sqrt(c^2*x^2 + 1)), x)) - 1/2*a^2/x^2","F",0
22,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))^2/x^4,x, algorithm=""maxima"")","\frac{2}{9} \, a b {\left(\frac{c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, c^{4} \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c} - \frac{3 \, \operatorname{arcsch}\left(c x\right)}{x^{3}}\right)} - \frac{1}{3} \, b^{2} {\left(\frac{\log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{x^{3}} + 3 \, \int -\frac{3 \, c^{2} x^{2} \log\left(c\right)^{2} + 3 \, {\left(c^{2} x^{2} + 1\right)} \log\left(x\right)^{2} + 3 \, \log\left(c\right)^{2} + 6 \, {\left(c^{2} x^{2} \log\left(c\right) + \log\left(c\right)\right)} \log\left(x\right) - 2 \, {\left(3 \, c^{2} x^{2} \log\left(c\right) + 3 \, {\left(c^{2} x^{2} + 1\right)} \log\left(x\right) + {\left(c^{2} x^{2} {\left(3 \, \log\left(c\right) - 1\right)} + 3 \, {\left(c^{2} x^{2} + 1\right)} \log\left(x\right) + 3 \, \log\left(c\right)\right)} \sqrt{c^{2} x^{2} + 1} + 3 \, \log\left(c\right)\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 3 \, {\left(c^{2} x^{2} \log\left(c\right)^{2} + {\left(c^{2} x^{2} + 1\right)} \log\left(x\right)^{2} + \log\left(c\right)^{2} + 2 \, {\left(c^{2} x^{2} \log\left(c\right) + \log\left(c\right)\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}}{3 \, {\left(c^{2} x^{6} + x^{4} + {\left(c^{2} x^{6} + x^{4}\right)} \sqrt{c^{2} x^{2} + 1}\right)}}\,{d x}\right)} - \frac{a^{2}}{3 \, x^{3}}"," ",0,"2/9*a*b*((c^4*(1/(c^2*x^2) + 1)^(3/2) - 3*c^4*sqrt(1/(c^2*x^2) + 1))/c - 3*arccsch(c*x)/x^3) - 1/3*b^2*(log(sqrt(c^2*x^2 + 1) + 1)^2/x^3 + 3*integrate(-1/3*(3*c^2*x^2*log(c)^2 + 3*(c^2*x^2 + 1)*log(x)^2 + 3*log(c)^2 + 6*(c^2*x^2*log(c) + log(c))*log(x) - 2*(3*c^2*x^2*log(c) + 3*(c^2*x^2 + 1)*log(x) + (c^2*x^2*(3*log(c) - 1) + 3*(c^2*x^2 + 1)*log(x) + 3*log(c))*sqrt(c^2*x^2 + 1) + 3*log(c))*log(sqrt(c^2*x^2 + 1) + 1) + 3*(c^2*x^2*log(c)^2 + (c^2*x^2 + 1)*log(x)^2 + log(c)^2 + 2*(c^2*x^2*log(c) + log(c))*log(x))*sqrt(c^2*x^2 + 1))/(c^2*x^6 + x^4 + (c^2*x^6 + x^4)*sqrt(c^2*x^2 + 1)), x)) - 1/3*a^2/x^3","F",0
23,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))^2/x^5,x, algorithm=""maxima"")","\frac{1}{32} \, a b {\left(\frac{3 \, c^{5} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - 3 \, c^{5} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right) - \frac{2 \, {\left(3 \, c^{8} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 5 \, c^{6} x \sqrt{\frac{1}{c^{2} x^{2}} + 1}\right)}}{c^{4} x^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{2} - 2 \, c^{2} x^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} + 1}}{c} - \frac{16 \, \operatorname{arcsch}\left(c x\right)}{x^{4}}\right)} - \frac{1}{4} \, b^{2} {\left(\frac{\log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{x^{4}} + 4 \, \int -\frac{2 \, c^{2} x^{2} \log\left(c\right)^{2} + 2 \, {\left(c^{2} x^{2} + 1\right)} \log\left(x\right)^{2} + 2 \, \log\left(c\right)^{2} + 4 \, {\left(c^{2} x^{2} \log\left(c\right) + \log\left(c\right)\right)} \log\left(x\right) - {\left(4 \, c^{2} x^{2} \log\left(c\right) + 4 \, {\left(c^{2} x^{2} + 1\right)} \log\left(x\right) + {\left(c^{2} x^{2} {\left(4 \, \log\left(c\right) - 1\right)} + 4 \, {\left(c^{2} x^{2} + 1\right)} \log\left(x\right) + 4 \, \log\left(c\right)\right)} \sqrt{c^{2} x^{2} + 1} + 4 \, \log\left(c\right)\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 2 \, {\left(c^{2} x^{2} \log\left(c\right)^{2} + {\left(c^{2} x^{2} + 1\right)} \log\left(x\right)^{2} + \log\left(c\right)^{2} + 2 \, {\left(c^{2} x^{2} \log\left(c\right) + \log\left(c\right)\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}}{2 \, {\left(c^{2} x^{7} + x^{5} + {\left(c^{2} x^{7} + x^{5}\right)} \sqrt{c^{2} x^{2} + 1}\right)}}\,{d x}\right)} - \frac{a^{2}}{4 \, x^{4}}"," ",0,"1/32*a*b*((3*c^5*log(c*x*sqrt(1/(c^2*x^2) + 1) + 1) - 3*c^5*log(c*x*sqrt(1/(c^2*x^2) + 1) - 1) - 2*(3*c^8*x^3*(1/(c^2*x^2) + 1)^(3/2) - 5*c^6*x*sqrt(1/(c^2*x^2) + 1))/(c^4*x^4*(1/(c^2*x^2) + 1)^2 - 2*c^2*x^2*(1/(c^2*x^2) + 1) + 1))/c - 16*arccsch(c*x)/x^4) - 1/4*b^2*(log(sqrt(c^2*x^2 + 1) + 1)^2/x^4 + 4*integrate(-1/2*(2*c^2*x^2*log(c)^2 + 2*(c^2*x^2 + 1)*log(x)^2 + 2*log(c)^2 + 4*(c^2*x^2*log(c) + log(c))*log(x) - (4*c^2*x^2*log(c) + 4*(c^2*x^2 + 1)*log(x) + (c^2*x^2*(4*log(c) - 1) + 4*(c^2*x^2 + 1)*log(x) + 4*log(c))*sqrt(c^2*x^2 + 1) + 4*log(c))*log(sqrt(c^2*x^2 + 1) + 1) + 2*(c^2*x^2*log(c)^2 + (c^2*x^2 + 1)*log(x)^2 + log(c)^2 + 2*(c^2*x^2*log(c) + log(c))*log(x))*sqrt(c^2*x^2 + 1))/(c^2*x^7 + x^5 + (c^2*x^7 + x^5)*sqrt(c^2*x^2 + 1)), x)) - 1/4*a^2/x^4","F",0
24,0,0,0,0.000000," ","integrate(x^3*(a+b*arccsch(c*x))^3,x, algorithm=""maxima"")","\frac{1}{4} \, b^{3} x^{4} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{3} - 12 \, b^{3} c^{2} \int \frac{x^{5} \log\left(x\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right)^{2} + 12 \, b^{3} c^{2} \int \frac{x^{5} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right)^{2} + \frac{1}{4} \, a^{3} x^{4} - 12 \, b^{3} c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{5} \log\left(x\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) + 24 \, b^{3} c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{5} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - 12 \, b^{3} c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{5} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - 12 \, b^{3} c^{2} \int \frac{x^{5} \log\left(x\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) + 24 \, b^{3} c^{2} \int \frac{x^{5} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - 12 \, b^{3} c^{2} \int \frac{x^{5} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) + 24 \, a b^{2} c^{2} \int \frac{x^{5} \log\left(x\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - 24 \, a b^{2} c^{2} \int \frac{x^{5} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - 4 \, b^{3} c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{5} \log\left(x\right)^{3}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 12 \, b^{3} c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{5} \log\left(x\right)^{2} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 12 \, b^{3} c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{5} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 4 \, b^{3} c^{2} \int \frac{x^{5} \log\left(x\right)^{3}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 12 \, b^{3} c^{2} \int \frac{x^{5} \log\left(x\right)^{2} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 12 \, b^{3} c^{2} \int \frac{x^{5} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 12 \, a b^{2} c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{5} \log\left(x\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 24 \, a b^{2} c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{5} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 12 \, a b^{2} c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{5} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 3 \, b^{3} c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{5} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 12 \, a b^{2} c^{2} \int \frac{x^{5} \log\left(x\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 24 \, a b^{2} c^{2} \int \frac{x^{5} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 12 \, a b^{2} c^{2} \int \frac{x^{5} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 12 \, b^{3} \int \frac{x^{3} \log\left(x\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right)^{2} + 12 \, b^{3} \int \frac{x^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right)^{2} - 12 \, b^{3} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(x\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) + 24 \, b^{3} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - 12 \, b^{3} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - 12 \, b^{3} \int \frac{x^{3} \log\left(x\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) + 24 \, b^{3} \int \frac{x^{3} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - 12 \, b^{3} \int \frac{x^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) + 24 \, a b^{2} \int \frac{x^{3} \log\left(x\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - 24 \, a b^{2} \int \frac{x^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) + \frac{1}{4} \, {\left(3 \, x^{4} \operatorname{arcsch}\left(c x\right) + \frac{c^{2} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{3}}\right)} a^{2} b - 4 \, b^{3} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(x\right)^{3}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 12 \, b^{3} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(x\right)^{2} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 12 \, b^{3} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 4 \, b^{3} \int \frac{x^{3} \log\left(x\right)^{3}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 12 \, b^{3} \int \frac{x^{3} \log\left(x\right)^{2} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 12 \, b^{3} \int \frac{x^{3} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 12 \, a b^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(x\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 24 \, a b^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 12 \, a b^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 12 \, a b^{2} \int \frac{x^{3} \log\left(x\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 24 \, a b^{2} \int \frac{x^{3} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 12 \, a b^{2} \int \frac{x^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + \frac{{\left(6 \, c^{2} x^{2} - 3 \, {\left(c^{2} x^{2} + 1\right)}^{2} + 4 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} - 12 \, \sqrt{c^{2} x^{2} + 1} + 6\right)} b^{3} \log\left(c\right)^{3}}{12 \, c^{4}} + \frac{{\left(3 \, c^{2} x^{2} - 2 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} + 6 \, \sqrt{c^{2} x^{2} + 1} - 3 \, \log\left(c^{2} x^{2} + 1\right) + 3\right)} b^{3} \log\left(c\right)^{3}}{6 \, c^{4}} - \frac{{\left(c^{2} x^{2} - 2 \, \sqrt{c^{2} x^{2} + 1} + 1\right)} b^{3} \log\left(c\right)^{3}}{2 \, c^{4}} - \frac{b^{3} {\left(2 \, \sqrt{c^{2} x^{2} + 1} - \log\left(c^{2} x^{2} + 1\right)\right)} \log\left(c\right)^{3}}{2 \, c^{4}} + \frac{{\left(6 \, c^{2} x^{2} - 3 \, {\left(c^{2} x^{2} + 1\right)}^{2} + 4 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} - 12 \, \sqrt{c^{2} x^{2} + 1} + 6\right)} b^{3} \log\left(c\right)^{2} \log\left(x\right)}{4 \, c^{4}} - \frac{3 \, {\left(c^{2} x^{2} - 2 \, \sqrt{c^{2} x^{2} + 1} + 1\right)} b^{3} \log\left(c\right)^{2} \log\left(x\right)}{2 \, c^{4}} - \frac{{\left(6 \, c^{2} x^{2} - 3 \, {\left(c^{2} x^{2} + 1\right)}^{2} + 4 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} - 12 \, \sqrt{c^{2} x^{2} + 1} + 6\right)} b^{3} \log\left(c\right)^{2} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{4 \, c^{4}} + \frac{3 \, {\left(c^{2} x^{2} - 2 \, \sqrt{c^{2} x^{2} + 1} + 1\right)} b^{3} \log\left(c\right)^{2} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, c^{4}} - \frac{{\left(6 \, c^{2} x^{2} - 3 \, {\left(c^{2} x^{2} + 1\right)}^{2} + 4 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} - 12 \, \sqrt{c^{2} x^{2} + 1} + 6\right)} a b^{2} \log\left(c\right)^{2}}{4 \, c^{4}} - \frac{{\left(3 \, c^{2} x^{2} - 2 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} + 6 \, \sqrt{c^{2} x^{2} + 1} - 3 \, \log\left(c^{2} x^{2} + 1\right) + 3\right)} a b^{2} \log\left(c\right)^{2}}{2 \, c^{4}} + \frac{3 \, {\left(c^{2} x^{2} - 2 \, \sqrt{c^{2} x^{2} + 1} + 1\right)} a b^{2} \log\left(c\right)^{2}}{2 \, c^{4}} - \frac{{\left(18 \, c^{2} x^{2} - 9 \, {\left(c^{2} x^{2} + 1\right)}^{2} + 16 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} - 96 \, \sqrt{c^{2} x^{2} + 1} + 66 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) - 30 \, \log\left(\sqrt{c^{2} x^{2} + 1} - 1\right) + 18\right)} b^{3} \log\left(c\right)^{2}}{48 \, c^{4}} - \frac{{\left(6 \, c^{2} x^{2} + 9 \, {\left(c^{2} x^{2} + 1\right)}^{2} - 28 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} + 132 \, \sqrt{c^{2} x^{2} + 1} - 132 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 6\right)} b^{3} \log\left(c\right)^{2}}{48 \, c^{4}} + \frac{3 \, {\left(c^{2} x^{2} - 4 \, \sqrt{c^{2} x^{2} + 1} + 3 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) - \log\left(\sqrt{c^{2} x^{2} + 1} - 1\right) + 1\right)} b^{3} \log\left(c\right)^{2}}{4 \, c^{4}} - \frac{3 \, {\left(c^{2} x^{2} - 6 \, \sqrt{c^{2} x^{2} + 1} + 6 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 1\right)} b^{3} \log\left(c\right)^{2}}{4 \, c^{4}} + \frac{3 \, a b^{2} {\left(2 \, \sqrt{c^{2} x^{2} + 1} - \log\left(c^{2} x^{2} + 1\right)\right)} \log\left(c\right)^{2}}{2 \, c^{4}} - \frac{{\left(6 \, c^{2} x^{2} - 3 \, {\left(c^{2} x^{2} + 1\right)}^{2} + 4 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} - 12 \, \sqrt{c^{2} x^{2} + 1} + 6\right)} a b^{2} \log\left(c\right) \log\left(x\right)}{2 \, c^{4}} + \frac{3 \, {\left(c^{2} x^{2} - 2 \, \sqrt{c^{2} x^{2} + 1} + 1\right)} a b^{2} \log\left(c\right) \log\left(x\right)}{c^{4}} + \frac{{\left(6 \, c^{2} x^{2} - 3 \, {\left(c^{2} x^{2} + 1\right)}^{2} + 4 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} - 12 \, \sqrt{c^{2} x^{2} + 1} + 6\right)} a b^{2} \log\left(c\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, c^{4}} - \frac{3 \, {\left(c^{2} x^{2} - 2 \, \sqrt{c^{2} x^{2} + 1} + 1\right)} a b^{2} \log\left(c\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{c^{4}} + \frac{{\left(18 \, c^{2} x^{2} - 9 \, {\left(c^{2} x^{2} + 1\right)}^{2} + 16 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} - 96 \, \sqrt{c^{2} x^{2} + 1} + 66 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) - 30 \, \log\left(\sqrt{c^{2} x^{2} + 1} - 1\right) + 18\right)} a b^{2} \log\left(c\right)}{24 \, c^{4}} + \frac{{\left(6 \, c^{2} x^{2} + 9 \, {\left(c^{2} x^{2} + 1\right)}^{2} - 28 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} + 132 \, \sqrt{c^{2} x^{2} + 1} - 132 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 6\right)} a b^{2} \log\left(c\right)}{24 \, c^{4}} - \frac{3 \, {\left(c^{2} x^{2} - 4 \, \sqrt{c^{2} x^{2} + 1} + 3 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) - \log\left(\sqrt{c^{2} x^{2} + 1} - 1\right) + 1\right)} a b^{2} \log\left(c\right)}{2 \, c^{4}} + \frac{3 \, {\left(c^{2} x^{2} - 6 \, \sqrt{c^{2} x^{2} + 1} + 6 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 1\right)} a b^{2} \log\left(c\right)}{2 \, c^{4}}"," ",0,"1/4*b^3*x^4*log(sqrt(c^2*x^2 + 1) + 1)^3 - 12*b^3*c^2*integrate(1/4*x^5*log(x)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c)^2 + 12*b^3*c^2*integrate(1/4*x^5*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c)^2 + 1/4*a^3*x^4 - 12*b^3*c^2*integrate(1/4*sqrt(c^2*x^2 + 1)*x^5*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) + 24*b^3*c^2*integrate(1/4*sqrt(c^2*x^2 + 1)*x^5*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 12*b^3*c^2*integrate(1/4*sqrt(c^2*x^2 + 1)*x^5*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 12*b^3*c^2*integrate(1/4*x^5*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) + 24*b^3*c^2*integrate(1/4*x^5*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 12*b^3*c^2*integrate(1/4*x^5*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) + 24*a*b^2*c^2*integrate(1/4*x^5*log(x)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 24*a*b^2*c^2*integrate(1/4*x^5*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 4*b^3*c^2*integrate(1/4*sqrt(c^2*x^2 + 1)*x^5*log(x)^3/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 12*b^3*c^2*integrate(1/4*sqrt(c^2*x^2 + 1)*x^5*log(x)^2*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 12*b^3*c^2*integrate(1/4*sqrt(c^2*x^2 + 1)*x^5*log(x)*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 4*b^3*c^2*integrate(1/4*x^5*log(x)^3/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 12*b^3*c^2*integrate(1/4*x^5*log(x)^2*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 12*b^3*c^2*integrate(1/4*x^5*log(x)*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 12*a*b^2*c^2*integrate(1/4*sqrt(c^2*x^2 + 1)*x^5*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 24*a*b^2*c^2*integrate(1/4*sqrt(c^2*x^2 + 1)*x^5*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 12*a*b^2*c^2*integrate(1/4*sqrt(c^2*x^2 + 1)*x^5*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 3*b^3*c^2*integrate(1/4*sqrt(c^2*x^2 + 1)*x^5*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 12*a*b^2*c^2*integrate(1/4*x^5*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 24*a*b^2*c^2*integrate(1/4*x^5*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 12*a*b^2*c^2*integrate(1/4*x^5*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 12*b^3*integrate(1/4*x^3*log(x)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c)^2 + 12*b^3*integrate(1/4*x^3*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c)^2 - 12*b^3*integrate(1/4*sqrt(c^2*x^2 + 1)*x^3*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) + 24*b^3*integrate(1/4*sqrt(c^2*x^2 + 1)*x^3*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 12*b^3*integrate(1/4*sqrt(c^2*x^2 + 1)*x^3*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 12*b^3*integrate(1/4*x^3*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) + 24*b^3*integrate(1/4*x^3*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 12*b^3*integrate(1/4*x^3*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) + 24*a*b^2*integrate(1/4*x^3*log(x)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 24*a*b^2*integrate(1/4*x^3*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) + 1/4*(3*x^4*arccsch(c*x) + (c^2*x^3*(1/(c^2*x^2) + 1)^(3/2) - 3*x*sqrt(1/(c^2*x^2) + 1))/c^3)*a^2*b - 4*b^3*integrate(1/4*sqrt(c^2*x^2 + 1)*x^3*log(x)^3/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 12*b^3*integrate(1/4*sqrt(c^2*x^2 + 1)*x^3*log(x)^2*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 12*b^3*integrate(1/4*sqrt(c^2*x^2 + 1)*x^3*log(x)*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 4*b^3*integrate(1/4*x^3*log(x)^3/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 12*b^3*integrate(1/4*x^3*log(x)^2*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 12*b^3*integrate(1/4*x^3*log(x)*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 12*a*b^2*integrate(1/4*sqrt(c^2*x^2 + 1)*x^3*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 24*a*b^2*integrate(1/4*sqrt(c^2*x^2 + 1)*x^3*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 12*a*b^2*integrate(1/4*sqrt(c^2*x^2 + 1)*x^3*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 12*a*b^2*integrate(1/4*x^3*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 24*a*b^2*integrate(1/4*x^3*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 12*a*b^2*integrate(1/4*x^3*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 1/12*(6*c^2*x^2 - 3*(c^2*x^2 + 1)^2 + 4*(c^2*x^2 + 1)^(3/2) - 12*sqrt(c^2*x^2 + 1) + 6)*b^3*log(c)^3/c^4 + 1/6*(3*c^2*x^2 - 2*(c^2*x^2 + 1)^(3/2) + 6*sqrt(c^2*x^2 + 1) - 3*log(c^2*x^2 + 1) + 3)*b^3*log(c)^3/c^4 - 1/2*(c^2*x^2 - 2*sqrt(c^2*x^2 + 1) + 1)*b^3*log(c)^3/c^4 - 1/2*b^3*(2*sqrt(c^2*x^2 + 1) - log(c^2*x^2 + 1))*log(c)^3/c^4 + 1/4*(6*c^2*x^2 - 3*(c^2*x^2 + 1)^2 + 4*(c^2*x^2 + 1)^(3/2) - 12*sqrt(c^2*x^2 + 1) + 6)*b^3*log(c)^2*log(x)/c^4 - 3/2*(c^2*x^2 - 2*sqrt(c^2*x^2 + 1) + 1)*b^3*log(c)^2*log(x)/c^4 - 1/4*(6*c^2*x^2 - 3*(c^2*x^2 + 1)^2 + 4*(c^2*x^2 + 1)^(3/2) - 12*sqrt(c^2*x^2 + 1) + 6)*b^3*log(c)^2*log(sqrt(c^2*x^2 + 1) + 1)/c^4 + 3/2*(c^2*x^2 - 2*sqrt(c^2*x^2 + 1) + 1)*b^3*log(c)^2*log(sqrt(c^2*x^2 + 1) + 1)/c^4 - 1/4*(6*c^2*x^2 - 3*(c^2*x^2 + 1)^2 + 4*(c^2*x^2 + 1)^(3/2) - 12*sqrt(c^2*x^2 + 1) + 6)*a*b^2*log(c)^2/c^4 - 1/2*(3*c^2*x^2 - 2*(c^2*x^2 + 1)^(3/2) + 6*sqrt(c^2*x^2 + 1) - 3*log(c^2*x^2 + 1) + 3)*a*b^2*log(c)^2/c^4 + 3/2*(c^2*x^2 - 2*sqrt(c^2*x^2 + 1) + 1)*a*b^2*log(c)^2/c^4 - 1/48*(18*c^2*x^2 - 9*(c^2*x^2 + 1)^2 + 16*(c^2*x^2 + 1)^(3/2) - 96*sqrt(c^2*x^2 + 1) + 66*log(sqrt(c^2*x^2 + 1) + 1) - 30*log(sqrt(c^2*x^2 + 1) - 1) + 18)*b^3*log(c)^2/c^4 - 1/48*(6*c^2*x^2 + 9*(c^2*x^2 + 1)^2 - 28*(c^2*x^2 + 1)^(3/2) + 132*sqrt(c^2*x^2 + 1) - 132*log(sqrt(c^2*x^2 + 1) + 1) + 6)*b^3*log(c)^2/c^4 + 3/4*(c^2*x^2 - 4*sqrt(c^2*x^2 + 1) + 3*log(sqrt(c^2*x^2 + 1) + 1) - log(sqrt(c^2*x^2 + 1) - 1) + 1)*b^3*log(c)^2/c^4 - 3/4*(c^2*x^2 - 6*sqrt(c^2*x^2 + 1) + 6*log(sqrt(c^2*x^2 + 1) + 1) + 1)*b^3*log(c)^2/c^4 + 3/2*a*b^2*(2*sqrt(c^2*x^2 + 1) - log(c^2*x^2 + 1))*log(c)^2/c^4 - 1/2*(6*c^2*x^2 - 3*(c^2*x^2 + 1)^2 + 4*(c^2*x^2 + 1)^(3/2) - 12*sqrt(c^2*x^2 + 1) + 6)*a*b^2*log(c)*log(x)/c^4 + 3*(c^2*x^2 - 2*sqrt(c^2*x^2 + 1) + 1)*a*b^2*log(c)*log(x)/c^4 + 1/2*(6*c^2*x^2 - 3*(c^2*x^2 + 1)^2 + 4*(c^2*x^2 + 1)^(3/2) - 12*sqrt(c^2*x^2 + 1) + 6)*a*b^2*log(c)*log(sqrt(c^2*x^2 + 1) + 1)/c^4 - 3*(c^2*x^2 - 2*sqrt(c^2*x^2 + 1) + 1)*a*b^2*log(c)*log(sqrt(c^2*x^2 + 1) + 1)/c^4 + 1/24*(18*c^2*x^2 - 9*(c^2*x^2 + 1)^2 + 16*(c^2*x^2 + 1)^(3/2) - 96*sqrt(c^2*x^2 + 1) + 66*log(sqrt(c^2*x^2 + 1) + 1) - 30*log(sqrt(c^2*x^2 + 1) - 1) + 18)*a*b^2*log(c)/c^4 + 1/24*(6*c^2*x^2 + 9*(c^2*x^2 + 1)^2 - 28*(c^2*x^2 + 1)^(3/2) + 132*sqrt(c^2*x^2 + 1) - 132*log(sqrt(c^2*x^2 + 1) + 1) + 6)*a*b^2*log(c)/c^4 - 3/2*(c^2*x^2 - 4*sqrt(c^2*x^2 + 1) + 3*log(sqrt(c^2*x^2 + 1) + 1) - log(sqrt(c^2*x^2 + 1) - 1) + 1)*a*b^2*log(c)/c^4 + 3/2*(c^2*x^2 - 6*sqrt(c^2*x^2 + 1) + 6*log(sqrt(c^2*x^2 + 1) + 1) + 1)*a*b^2*log(c)/c^4","F",0
25,0,0,0,0.000000," ","integrate(x^2*(a+b*arccsch(c*x))^3,x, algorithm=""maxima"")","\frac{1}{3} \, b^{3} x^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{3} + \frac{1}{3} \, a^{3} x^{3} + \frac{1}{4} \, {\left(4 \, x^{3} \operatorname{arcsch}\left(c x\right) + \frac{\frac{2 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - c^{2}} - \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{2}} + \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{2}}}{c}\right)} a^{2} b - \int \frac{{\left(b^{3} c^{2} \log\left(c\right)^{3} - 3 \, a b^{2} c^{2} \log\left(c\right)^{2}\right)} x^{4} + {\left(b^{3} c^{2} x^{4} + b^{3} x^{2}\right)} \log\left(x\right)^{3} + {\left(b^{3} \log\left(c\right)^{3} - 3 \, a b^{2} \log\left(c\right)^{2}\right)} x^{2} + 3 \, {\left({\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{4} + {\left(b^{3} \log\left(c\right) - a b^{2}\right)} x^{2}\right)} \log\left(x\right)^{2} + {\left(3 \, {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{4} + 3 \, {\left(b^{3} \log\left(c\right) - a b^{2}\right)} x^{2} + 3 \, {\left(b^{3} c^{2} x^{4} + b^{3} x^{2}\right)} \log\left(x\right) + {\left({\left(b^{3} c^{2} {\left(3 \, \log\left(c\right) + 1\right)} - 3 \, a b^{2} c^{2}\right)} x^{4} + 3 \, {\left(b^{3} \log\left(c\right) - a b^{2}\right)} x^{2} + 3 \, {\left(b^{3} c^{2} x^{4} + b^{3} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2} + 3 \, {\left({\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{4} + {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right)\right)} x^{2}\right)} \log\left(x\right) - 3 \, {\left({\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{4} + {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right)\right)} x^{2} + {\left(b^{3} c^{2} x^{4} + b^{3} x^{2}\right)} \log\left(x\right)^{2} + 2 \, {\left({\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{4} + {\left(b^{3} \log\left(c\right) - a b^{2}\right)} x^{2}\right)} \log\left(x\right) + {\left({\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{4} + {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right)\right)} x^{2} + {\left(b^{3} c^{2} x^{4} + b^{3} x^{2}\right)} \log\left(x\right)^{2} + 2 \, {\left({\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{4} + {\left(b^{3} \log\left(c\right) - a b^{2}\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + {\left({\left(b^{3} c^{2} \log\left(c\right)^{3} - 3 \, a b^{2} c^{2} \log\left(c\right)^{2}\right)} x^{4} + {\left(b^{3} c^{2} x^{4} + b^{3} x^{2}\right)} \log\left(x\right)^{3} + {\left(b^{3} \log\left(c\right)^{3} - 3 \, a b^{2} \log\left(c\right)^{2}\right)} x^{2} + 3 \, {\left({\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{4} + {\left(b^{3} \log\left(c\right) - a b^{2}\right)} x^{2}\right)} \log\left(x\right)^{2} + 3 \, {\left({\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{4} + {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right)\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}}{c^{2} x^{2} + {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} + 1}\,{d x}"," ",0,"1/3*b^3*x^3*log(sqrt(c^2*x^2 + 1) + 1)^3 + 1/3*a^3*x^3 + 1/4*(4*x^3*arccsch(c*x) + (2*sqrt(1/(c^2*x^2) + 1)/(c^2*(1/(c^2*x^2) + 1) - c^2) - log(sqrt(1/(c^2*x^2) + 1) + 1)/c^2 + log(sqrt(1/(c^2*x^2) + 1) - 1)/c^2)/c)*a^2*b - integrate(((b^3*c^2*log(c)^3 - 3*a*b^2*c^2*log(c)^2)*x^4 + (b^3*c^2*x^4 + b^3*x^2)*log(x)^3 + (b^3*log(c)^3 - 3*a*b^2*log(c)^2)*x^2 + 3*((b^3*c^2*log(c) - a*b^2*c^2)*x^4 + (b^3*log(c) - a*b^2)*x^2)*log(x)^2 + (3*(b^3*c^2*log(c) - a*b^2*c^2)*x^4 + 3*(b^3*log(c) - a*b^2)*x^2 + 3*(b^3*c^2*x^4 + b^3*x^2)*log(x) + ((b^3*c^2*(3*log(c) + 1) - 3*a*b^2*c^2)*x^4 + 3*(b^3*log(c) - a*b^2)*x^2 + 3*(b^3*c^2*x^4 + b^3*x^2)*log(x))*sqrt(c^2*x^2 + 1))*log(sqrt(c^2*x^2 + 1) + 1)^2 + 3*((b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^4 + (b^3*log(c)^2 - 2*a*b^2*log(c))*x^2)*log(x) - 3*((b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^4 + (b^3*log(c)^2 - 2*a*b^2*log(c))*x^2 + (b^3*c^2*x^4 + b^3*x^2)*log(x)^2 + 2*((b^3*c^2*log(c) - a*b^2*c^2)*x^4 + (b^3*log(c) - a*b^2)*x^2)*log(x) + ((b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^4 + (b^3*log(c)^2 - 2*a*b^2*log(c))*x^2 + (b^3*c^2*x^4 + b^3*x^2)*log(x)^2 + 2*((b^3*c^2*log(c) - a*b^2*c^2)*x^4 + (b^3*log(c) - a*b^2)*x^2)*log(x))*sqrt(c^2*x^2 + 1))*log(sqrt(c^2*x^2 + 1) + 1) + ((b^3*c^2*log(c)^3 - 3*a*b^2*c^2*log(c)^2)*x^4 + (b^3*c^2*x^4 + b^3*x^2)*log(x)^3 + (b^3*log(c)^3 - 3*a*b^2*log(c)^2)*x^2 + 3*((b^3*c^2*log(c) - a*b^2*c^2)*x^4 + (b^3*log(c) - a*b^2)*x^2)*log(x)^2 + 3*((b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^4 + (b^3*log(c)^2 - 2*a*b^2*log(c))*x^2)*log(x))*sqrt(c^2*x^2 + 1))/(c^2*x^2 + (c^2*x^2 + 1)^(3/2) + 1), x)","F",0
26,0,0,0,0.000000," ","integrate(x*(a+b*arccsch(c*x))^3,x, algorithm=""maxima"")","\frac{3}{2} \, a b^{2} x^{2} \operatorname{arcsch}\left(c x\right)^{2} + \frac{1}{2} \, a^{3} x^{2} + \frac{3}{2} \, {\left(x^{2} \operatorname{arcsch}\left(c x\right) + \frac{x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c}\right)} a^{2} b + 3 \, {\left(\frac{x \sqrt{\frac{1}{c^{2} x^{2}} + 1} \operatorname{arcsch}\left(c x\right)}{c} + \frac{\log\left(x\right)}{c^{2}}\right)} a b^{2} - \frac{1}{4} \, {\left(24 \, c^{2} \int \frac{x^{3} \log\left(x\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right)^{2} - 24 \, c^{2} \int \frac{x^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right)^{2} - 2 \, x^{2} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{3} + 24 \, c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(x\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - 48 \, c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) + 24 \, c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) + 24 \, c^{2} \int \frac{x^{3} \log\left(x\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - 48 \, c^{2} \int \frac{x^{3} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) + 24 \, c^{2} \int \frac{x^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) + 8 \, c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(x\right)^{3}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 24 \, c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(x\right)^{2} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 24 \, c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 8 \, c^{2} \int \frac{x^{3} \log\left(x\right)^{3}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 24 \, c^{2} \int \frac{x^{3} \log\left(x\right)^{2} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 24 \, c^{2} \int \frac{x^{3} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 12 \, c^{2} \int \frac{\sqrt{c^{2} x^{2} + 1} x^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 24 \, \int \frac{\sqrt{c^{2} x^{2} + 1} x \log\left(x\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right)^{2} + 24 \, \int \frac{x \log\left(x\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right)^{2} - 24 \, \int \frac{x \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right)^{2} + 24 \, \int \frac{\sqrt{c^{2} x^{2} + 1} x \log\left(x\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - 48 \, \int \frac{\sqrt{c^{2} x^{2} + 1} x \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) + 24 \, \int \frac{x \log\left(x\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) - 48 \, \int \frac{x \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) + 24 \, \int \frac{x \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} \log\left(c\right) + \frac{2 \, {\left(c^{2} x^{2} - 2 \, \sqrt{c^{2} x^{2} + 1} + 1\right)} \log\left(c\right)^{3}}{c^{2}} + \frac{2 \, {\left(2 \, \sqrt{c^{2} x^{2} + 1} - \log\left(c^{2} x^{2} + 1\right)\right)} \log\left(c\right)^{3}}{c^{2}} + \frac{2 \, {\left(\log\left(c^{2} x^{2} + 1\right) - 2 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)\right)} \log\left(c\right)^{3}}{c^{2}} + \frac{6 \, {\left(c^{2} x^{2} - 2 \, \sqrt{c^{2} x^{2} + 1} + 1\right)} \log\left(c\right)^{2} \log\left(x\right)}{c^{2}} - \frac{6 \, {\left(c^{2} x^{2} - 2 \, \sqrt{c^{2} x^{2} + 1} + 1\right)} \log\left(c\right)^{2} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{c^{2}} + \frac{4 \, \log\left(c\right)^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{c^{2}} - \frac{6 \, \log\left(c\right)^{2} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{c^{2}} + \frac{4 \, \log\left(c\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{3}}{c^{2}} - \frac{3 \, {\left(c^{2} x^{2} - 4 \, \sqrt{c^{2} x^{2} + 1} + 3 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) - \log\left(\sqrt{c^{2} x^{2} + 1} - 1\right) + 1\right)} \log\left(c\right)^{2}}{c^{2}} + \frac{3 \, {\left(c^{2} x^{2} - 6 \, \sqrt{c^{2} x^{2} + 1} + 6 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 1\right)} \log\left(c\right)^{2}}{c^{2}} + 8 \, \int \frac{\sqrt{c^{2} x^{2} + 1} x \log\left(x\right)^{3}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 24 \, \int \frac{\sqrt{c^{2} x^{2} + 1} x \log\left(x\right)^{2} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 24 \, \int \frac{\sqrt{c^{2} x^{2} + 1} x \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 8 \, \int \frac{x \log\left(x\right)^{3}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - 24 \, \int \frac{x \log\left(x\right)^{2} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + 24 \, \int \frac{x \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x}\right)} b^{3}"," ",0,"3/2*a*b^2*x^2*arccsch(c*x)^2 + 1/2*a^3*x^2 + 3/2*(x^2*arccsch(c*x) + x*sqrt(1/(c^2*x^2) + 1)/c)*a^2*b + 3*(x*sqrt(1/(c^2*x^2) + 1)*arccsch(c*x)/c + log(x)/c^2)*a*b^2 - 1/4*(24*c^2*integrate(1/2*x^3*log(x)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c)^2 - 24*c^2*integrate(1/2*x^3*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c)^2 - 2*x^2*log(sqrt(c^2*x^2 + 1) + 1)^3 + 24*c^2*integrate(1/2*sqrt(c^2*x^2 + 1)*x^3*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 48*c^2*integrate(1/2*sqrt(c^2*x^2 + 1)*x^3*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) + 24*c^2*integrate(1/2*sqrt(c^2*x^2 + 1)*x^3*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) + 24*c^2*integrate(1/2*x^3*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 48*c^2*integrate(1/2*x^3*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) + 24*c^2*integrate(1/2*x^3*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) + 8*c^2*integrate(1/2*sqrt(c^2*x^2 + 1)*x^3*log(x)^3/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 24*c^2*integrate(1/2*sqrt(c^2*x^2 + 1)*x^3*log(x)^2*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 24*c^2*integrate(1/2*sqrt(c^2*x^2 + 1)*x^3*log(x)*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 8*c^2*integrate(1/2*x^3*log(x)^3/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 24*c^2*integrate(1/2*x^3*log(x)^2*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 24*c^2*integrate(1/2*x^3*log(x)*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 12*c^2*integrate(1/2*sqrt(c^2*x^2 + 1)*x^3*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 24*integrate(1/2*sqrt(c^2*x^2 + 1)*x*log(x)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c)^2 + 24*integrate(1/2*x*log(x)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c)^2 - 24*integrate(1/2*x*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c)^2 + 24*integrate(1/2*sqrt(c^2*x^2 + 1)*x*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 48*integrate(1/2*sqrt(c^2*x^2 + 1)*x*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) + 24*integrate(1/2*x*log(x)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) - 48*integrate(1/2*x*log(x)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) + 24*integrate(1/2*x*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x)*log(c) + 2*(c^2*x^2 - 2*sqrt(c^2*x^2 + 1) + 1)*log(c)^3/c^2 + 2*(2*sqrt(c^2*x^2 + 1) - log(c^2*x^2 + 1))*log(c)^3/c^2 + 2*(log(c^2*x^2 + 1) - 2*log(sqrt(c^2*x^2 + 1) + 1))*log(c)^3/c^2 + 6*(c^2*x^2 - 2*sqrt(c^2*x^2 + 1) + 1)*log(c)^2*log(x)/c^2 - 6*(c^2*x^2 - 2*sqrt(c^2*x^2 + 1) + 1)*log(c)^2*log(sqrt(c^2*x^2 + 1) + 1)/c^2 + 4*log(c)^3*log(sqrt(c^2*x^2 + 1) + 1)/c^2 - 6*log(c)^2*log(sqrt(c^2*x^2 + 1) + 1)^2/c^2 + 4*log(c)*log(sqrt(c^2*x^2 + 1) + 1)^3/c^2 - 3*(c^2*x^2 - 4*sqrt(c^2*x^2 + 1) + 3*log(sqrt(c^2*x^2 + 1) + 1) - log(sqrt(c^2*x^2 + 1) - 1) + 1)*log(c)^2/c^2 + 3*(c^2*x^2 - 6*sqrt(c^2*x^2 + 1) + 6*log(sqrt(c^2*x^2 + 1) + 1) + 1)*log(c)^2/c^2 + 8*integrate(1/2*sqrt(c^2*x^2 + 1)*x*log(x)^3/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 24*integrate(1/2*sqrt(c^2*x^2 + 1)*x*log(x)^2*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 24*integrate(1/2*sqrt(c^2*x^2 + 1)*x*log(x)*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 8*integrate(1/2*x*log(x)^3/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 24*integrate(1/2*x*log(x)^2*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + 24*integrate(1/2*x*log(x)*log(sqrt(c^2*x^2 + 1) + 1)^2/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x))*b^3","F",0
27,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))^3,x, algorithm=""maxima"")","b^{3} x \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{3} + a^{3} x + \frac{3 \, {\left(2 \, c x \operatorname{arcsch}\left(c x\right) + \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)\right)} a^{2} b}{2 \, c} - \int \frac{b^{3} \log\left(c\right)^{3} - 3 \, a b^{2} \log\left(c\right)^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{3} + {\left(b^{3} c^{2} \log\left(c\right)^{3} - 3 \, a b^{2} c^{2} \log\left(c\right)^{2}\right)} x^{2} + 3 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right) + \sqrt{c^{2} x^{2} + 1} {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} {\left(\log\left(c\right) + 1\right)} - a b^{2} c^{2}\right)} x^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)\right)}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2}\right)} \log\left(x\right) - 3 \, {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right) + {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + {\left(b^{3} \log\left(c\right)^{3} - 3 \, a b^{2} \log\left(c\right)^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{3} + {\left(b^{3} c^{2} \log\left(c\right)^{3} - 3 \, a b^{2} c^{2} \log\left(c\right)^{2}\right)} x^{2} + 3 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}}{c^{2} x^{2} + {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} + 1}\,{d x}"," ",0,"b^3*x*log(sqrt(c^2*x^2 + 1) + 1)^3 + a^3*x + 3/2*(2*c*x*arccsch(c*x) + log(sqrt(1/(c^2*x^2) + 1) + 1) - log(sqrt(1/(c^2*x^2) + 1) - 1))*a^2*b/c - integrate((b^3*log(c)^3 - 3*a*b^2*log(c)^2 + (b^3*c^2*x^2 + b^3)*log(x)^3 + (b^3*c^2*log(c)^3 - 3*a*b^2*c^2*log(c)^2)*x^2 + 3*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x)^2 + 3*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2 + (b^3*c^2*x^2 + b^3)*log(x) + sqrt(c^2*x^2 + 1)*(b^3*log(c) - a*b^2 + (b^3*c^2*(log(c) + 1) - a*b^2*c^2)*x^2 + (b^3*c^2*x^2 + b^3)*log(x)))*log(sqrt(c^2*x^2 + 1) + 1)^2 + 3*(b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2)*log(x) - 3*(b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2 + (b^3*c^2*x^2 + b^3)*log(x)^2 + 2*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x) + (b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2 + (b^3*c^2*x^2 + b^3)*log(x)^2 + 2*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x))*sqrt(c^2*x^2 + 1))*log(sqrt(c^2*x^2 + 1) + 1) + (b^3*log(c)^3 - 3*a*b^2*log(c)^2 + (b^3*c^2*x^2 + b^3)*log(x)^3 + (b^3*c^2*log(c)^3 - 3*a*b^2*c^2*log(c)^2)*x^2 + 3*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x)^2 + 3*(b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2)*log(x))*sqrt(c^2*x^2 + 1))/(c^2*x^2 + (c^2*x^2 + 1)^(3/2) + 1), x)","F",0
28,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))^3/x,x, algorithm=""maxima"")","b^{3} \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{3} + a^{3} \log\left(x\right) - \int \frac{b^{3} \log\left(c\right)^{3} - 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{3} + {\left(b^{3} c^{2} \log\left(c\right)^{3} - 3 \, a b^{2} c^{2} \log\left(c\right)^{2} + 3 \, a^{2} b c^{2} \log\left(c\right)\right)} x^{2} + 3 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right) + \sqrt{c^{2} x^{2} + 1} {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2} + {\left(2 \, b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)\right)}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + a^{2} b + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right) + a^{2} b c^{2}\right)} x^{2}\right)} \log\left(x\right) - 3 \, {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + a^{2} b + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right) + a^{2} b c^{2}\right)} x^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right) + {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + a^{2} b + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right) + a^{2} b c^{2}\right)} x^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + {\left(b^{3} \log\left(c\right)^{3} - 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{3} + {\left(b^{3} c^{2} \log\left(c\right)^{3} - 3 \, a b^{2} c^{2} \log\left(c\right)^{2} + 3 \, a^{2} b c^{2} \log\left(c\right)\right)} x^{2} + 3 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + a^{2} b + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right) + a^{2} b c^{2}\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}}{c^{2} x^{3} + {\left(c^{2} x^{3} + x\right)} \sqrt{c^{2} x^{2} + 1} + x}\,{d x}"," ",0,"b^3*log(x)*log(sqrt(c^2*x^2 + 1) + 1)^3 + a^3*log(x) - integrate((b^3*log(c)^3 - 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + (b^3*c^2*x^2 + b^3)*log(x)^3 + (b^3*c^2*log(c)^3 - 3*a*b^2*c^2*log(c)^2 + 3*a^2*b*c^2*log(c))*x^2 + 3*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x)^2 + 3*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2 + (b^3*c^2*x^2 + b^3)*log(x) + sqrt(c^2*x^2 + 1)*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2 + (2*b^3*c^2*x^2 + b^3)*log(x)))*log(sqrt(c^2*x^2 + 1) + 1)^2 + 3*(b^3*log(c)^2 - 2*a*b^2*log(c) + a^2*b + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c) + a^2*b*c^2)*x^2)*log(x) - 3*(b^3*log(c)^2 - 2*a*b^2*log(c) + a^2*b + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c) + a^2*b*c^2)*x^2 + (b^3*c^2*x^2 + b^3)*log(x)^2 + 2*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x) + (b^3*log(c)^2 - 2*a*b^2*log(c) + a^2*b + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c) + a^2*b*c^2)*x^2 + (b^3*c^2*x^2 + b^3)*log(x)^2 + 2*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x))*sqrt(c^2*x^2 + 1))*log(sqrt(c^2*x^2 + 1) + 1) + (b^3*log(c)^3 - 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + (b^3*c^2*x^2 + b^3)*log(x)^3 + (b^3*c^2*log(c)^3 - 3*a*b^2*c^2*log(c)^2 + 3*a^2*b*c^2*log(c))*x^2 + 3*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x)^2 + 3*(b^3*log(c)^2 - 2*a*b^2*log(c) + a^2*b + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c) + a^2*b*c^2)*x^2)*log(x))*sqrt(c^2*x^2 + 1))/(c^2*x^3 + (c^2*x^3 + x)*sqrt(c^2*x^2 + 1) + x), x)","F",0
29,1,144,0,0.352965," ","integrate((a+b*arccsch(c*x))^3/x^2,x, algorithm=""maxima"")","-\frac{b^{3} \operatorname{arcsch}\left(c x\right)^{3}}{x} + 3 \, {\left(c \sqrt{\frac{1}{c^{2} x^{2}} + 1} - \frac{\operatorname{arcsch}\left(c x\right)}{x}\right)} a^{2} b + 6 \, {\left(c \sqrt{\frac{1}{c^{2} x^{2}} + 1} \operatorname{arcsch}\left(c x\right) - \frac{1}{x}\right)} a b^{2} + 3 \, {\left(c \sqrt{\frac{1}{c^{2} x^{2}} + 1} \operatorname{arcsch}\left(c x\right)^{2} + 2 \, c \sqrt{\frac{1}{c^{2} x^{2}} + 1} - \frac{2 \, \operatorname{arcsch}\left(c x\right)}{x}\right)} b^{3} - \frac{3 \, a b^{2} \operatorname{arcsch}\left(c x\right)^{2}}{x} - \frac{a^{3}}{x}"," ",0,"-b^3*arccsch(c*x)^3/x + 3*(c*sqrt(1/(c^2*x^2) + 1) - arccsch(c*x)/x)*a^2*b + 6*(c*sqrt(1/(c^2*x^2) + 1)*arccsch(c*x) - 1/x)*a*b^2 + 3*(c*sqrt(1/(c^2*x^2) + 1)*arccsch(c*x)^2 + 2*c*sqrt(1/(c^2*x^2) + 1) - 2*arccsch(c*x)/x)*b^3 - 3*a*b^2*arccsch(c*x)^2/x - a^3/x","A",0
30,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))^3/x^3,x, algorithm=""maxima"")","\frac{3}{8} \, a^{2} b {\left(\frac{\frac{2 \, c^{4} x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{2} x^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - 1} - c^{3} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) + c^{3} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c} - \frac{4 \, \operatorname{arcsch}\left(c x\right)}{x^{2}}\right)} - \frac{b^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{3}}{2 \, x^{2}} - \frac{a^{3}}{2 \, x^{2}} - \int \frac{2 \, b^{3} \log\left(c\right)^{3} - 6 \, a b^{2} \log\left(c\right)^{2} + 2 \, {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{3} + 2 \, {\left(b^{3} c^{2} \log\left(c\right)^{3} - 3 \, a b^{2} c^{2} \log\left(c\right)^{2}\right)} x^{2} + 6 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right)^{2} + 3 \, {\left(2 \, b^{3} \log\left(c\right) - 2 \, a b^{2} + 2 \, {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2} + 2 \, {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right) + \sqrt{c^{2} x^{2} + 1} {\left(2 \, b^{3} \log\left(c\right) - 2 \, a b^{2} + {\left(b^{3} c^{2} {\left(2 \, \log\left(c\right) - 1\right)} - 2 \, a b^{2} c^{2}\right)} x^{2} + 2 \, {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)\right)}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2} + 6 \, {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2}\right)} \log\left(x\right) - 6 \, {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right) + {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 2 \, {\left(b^{3} \log\left(c\right)^{3} - 3 \, a b^{2} \log\left(c\right)^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{3} + {\left(b^{3} c^{2} \log\left(c\right)^{3} - 3 \, a b^{2} c^{2} \log\left(c\right)^{2}\right)} x^{2} + 3 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}}{2 \, {\left(c^{2} x^{5} + x^{3} + {\left(c^{2} x^{5} + x^{3}\right)} \sqrt{c^{2} x^{2} + 1}\right)}}\,{d x}"," ",0,"3/8*a^2*b*((2*c^4*x*sqrt(1/(c^2*x^2) + 1)/(c^2*x^2*(1/(c^2*x^2) + 1) - 1) - c^3*log(c*x*sqrt(1/(c^2*x^2) + 1) + 1) + c^3*log(c*x*sqrt(1/(c^2*x^2) + 1) - 1))/c - 4*arccsch(c*x)/x^2) - 1/2*b^3*log(sqrt(c^2*x^2 + 1) + 1)^3/x^2 - 1/2*a^3/x^2 - integrate(1/2*(2*b^3*log(c)^3 - 6*a*b^2*log(c)^2 + 2*(b^3*c^2*x^2 + b^3)*log(x)^3 + 2*(b^3*c^2*log(c)^3 - 3*a*b^2*c^2*log(c)^2)*x^2 + 6*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x)^2 + 3*(2*b^3*log(c) - 2*a*b^2 + 2*(b^3*c^2*log(c) - a*b^2*c^2)*x^2 + 2*(b^3*c^2*x^2 + b^3)*log(x) + sqrt(c^2*x^2 + 1)*(2*b^3*log(c) - 2*a*b^2 + (b^3*c^2*(2*log(c) - 1) - 2*a*b^2*c^2)*x^2 + 2*(b^3*c^2*x^2 + b^3)*log(x)))*log(sqrt(c^2*x^2 + 1) + 1)^2 + 6*(b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2)*log(x) - 6*(b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2 + (b^3*c^2*x^2 + b^3)*log(x)^2 + 2*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x) + (b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2 + (b^3*c^2*x^2 + b^3)*log(x)^2 + 2*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x))*sqrt(c^2*x^2 + 1))*log(sqrt(c^2*x^2 + 1) + 1) + 2*(b^3*log(c)^3 - 3*a*b^2*log(c)^2 + (b^3*c^2*x^2 + b^3)*log(x)^3 + (b^3*c^2*log(c)^3 - 3*a*b^2*c^2*log(c)^2)*x^2 + 3*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x)^2 + 3*(b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2)*log(x))*sqrt(c^2*x^2 + 1))/(c^2*x^5 + x^3 + (c^2*x^5 + x^3)*sqrt(c^2*x^2 + 1)), x)","F",0
31,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))^3/x^4,x, algorithm=""maxima"")","\frac{1}{3} \, a^{2} b {\left(\frac{c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, c^{4} \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c} - \frac{3 \, \operatorname{arcsch}\left(c x\right)}{x^{3}}\right)} - \frac{b^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{3}}{3 \, x^{3}} - \frac{a^{3}}{3 \, x^{3}} - \int \frac{b^{3} \log\left(c\right)^{3} - 3 \, a b^{2} \log\left(c\right)^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{3} + {\left(b^{3} c^{2} \log\left(c\right)^{3} - 3 \, a b^{2} c^{2} \log\left(c\right)^{2}\right)} x^{2} + 3 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right)^{2} + {\left(3 \, b^{3} \log\left(c\right) - 3 \, a b^{2} + 3 \, {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2} + 3 \, {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right) + \sqrt{c^{2} x^{2} + 1} {\left(3 \, b^{3} \log\left(c\right) - 3 \, a b^{2} + {\left(b^{3} c^{2} {\left(3 \, \log\left(c\right) - 1\right)} - 3 \, a b^{2} c^{2}\right)} x^{2} + 3 \, {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)\right)}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2}\right)} \log\left(x\right) - 3 \, {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right) + {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + {\left(b^{3} \log\left(c\right)^{3} - 3 \, a b^{2} \log\left(c\right)^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{3} + {\left(b^{3} c^{2} \log\left(c\right)^{3} - 3 \, a b^{2} c^{2} \log\left(c\right)^{2}\right)} x^{2} + 3 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}}{c^{2} x^{6} + x^{4} + {\left(c^{2} x^{6} + x^{4}\right)} \sqrt{c^{2} x^{2} + 1}}\,{d x}"," ",0,"1/3*a^2*b*((c^4*(1/(c^2*x^2) + 1)^(3/2) - 3*c^4*sqrt(1/(c^2*x^2) + 1))/c - 3*arccsch(c*x)/x^3) - 1/3*b^3*log(sqrt(c^2*x^2 + 1) + 1)^3/x^3 - 1/3*a^3/x^3 - integrate((b^3*log(c)^3 - 3*a*b^2*log(c)^2 + (b^3*c^2*x^2 + b^3)*log(x)^3 + (b^3*c^2*log(c)^3 - 3*a*b^2*c^2*log(c)^2)*x^2 + 3*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x)^2 + (3*b^3*log(c) - 3*a*b^2 + 3*(b^3*c^2*log(c) - a*b^2*c^2)*x^2 + 3*(b^3*c^2*x^2 + b^3)*log(x) + sqrt(c^2*x^2 + 1)*(3*b^3*log(c) - 3*a*b^2 + (b^3*c^2*(3*log(c) - 1) - 3*a*b^2*c^2)*x^2 + 3*(b^3*c^2*x^2 + b^3)*log(x)))*log(sqrt(c^2*x^2 + 1) + 1)^2 + 3*(b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2)*log(x) - 3*(b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2 + (b^3*c^2*x^2 + b^3)*log(x)^2 + 2*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x) + (b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2 + (b^3*c^2*x^2 + b^3)*log(x)^2 + 2*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x))*sqrt(c^2*x^2 + 1))*log(sqrt(c^2*x^2 + 1) + 1) + (b^3*log(c)^3 - 3*a*b^2*log(c)^2 + (b^3*c^2*x^2 + b^3)*log(x)^3 + (b^3*c^2*log(c)^3 - 3*a*b^2*c^2*log(c)^2)*x^2 + 3*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x)^2 + 3*(b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2)*log(x))*sqrt(c^2*x^2 + 1))/(c^2*x^6 + x^4 + (c^2*x^6 + x^4)*sqrt(c^2*x^2 + 1)), x)","F",0
32,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))^3/x^5,x, algorithm=""maxima"")","\frac{3}{64} \, a^{2} b {\left(\frac{3 \, c^{5} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - 3 \, c^{5} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right) - \frac{2 \, {\left(3 \, c^{8} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 5 \, c^{6} x \sqrt{\frac{1}{c^{2} x^{2}} + 1}\right)}}{c^{4} x^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{2} - 2 \, c^{2} x^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} + 1}}{c} - \frac{16 \, \operatorname{arcsch}\left(c x\right)}{x^{4}}\right)} - \frac{b^{3} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{3}}{4 \, x^{4}} - \frac{a^{3}}{4 \, x^{4}} - \int \frac{4 \, b^{3} \log\left(c\right)^{3} - 12 \, a b^{2} \log\left(c\right)^{2} + 4 \, {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{3} + 4 \, {\left(b^{3} c^{2} \log\left(c\right)^{3} - 3 \, a b^{2} c^{2} \log\left(c\right)^{2}\right)} x^{2} + 12 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right)^{2} + 3 \, {\left(4 \, b^{3} \log\left(c\right) - 4 \, a b^{2} + 4 \, {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2} + 4 \, {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right) + \sqrt{c^{2} x^{2} + 1} {\left(4 \, b^{3} \log\left(c\right) - 4 \, a b^{2} + {\left(b^{3} c^{2} {\left(4 \, \log\left(c\right) - 1\right)} - 4 \, a b^{2} c^{2}\right)} x^{2} + 4 \, {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)\right)}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2} + 12 \, {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2}\right)} \log\left(x\right) - 12 \, {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right) + {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 4 \, {\left(b^{3} \log\left(c\right)^{3} - 3 \, a b^{2} \log\left(c\right)^{2} + {\left(b^{3} c^{2} x^{2} + b^{3}\right)} \log\left(x\right)^{3} + {\left(b^{3} c^{2} \log\left(c\right)^{3} - 3 \, a b^{2} c^{2} \log\left(c\right)^{2}\right)} x^{2} + 3 \, {\left(b^{3} \log\left(c\right) - a b^{2} + {\left(b^{3} c^{2} \log\left(c\right) - a b^{2} c^{2}\right)} x^{2}\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} - 2 \, a b^{2} \log\left(c\right) + {\left(b^{3} c^{2} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} \log\left(c\right)\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1}}{4 \, {\left(c^{2} x^{7} + x^{5} + {\left(c^{2} x^{7} + x^{5}\right)} \sqrt{c^{2} x^{2} + 1}\right)}}\,{d x}"," ",0,"3/64*a^2*b*((3*c^5*log(c*x*sqrt(1/(c^2*x^2) + 1) + 1) - 3*c^5*log(c*x*sqrt(1/(c^2*x^2) + 1) - 1) - 2*(3*c^8*x^3*(1/(c^2*x^2) + 1)^(3/2) - 5*c^6*x*sqrt(1/(c^2*x^2) + 1))/(c^4*x^4*(1/(c^2*x^2) + 1)^2 - 2*c^2*x^2*(1/(c^2*x^2) + 1) + 1))/c - 16*arccsch(c*x)/x^4) - 1/4*b^3*log(sqrt(c^2*x^2 + 1) + 1)^3/x^4 - 1/4*a^3/x^4 - integrate(1/4*(4*b^3*log(c)^3 - 12*a*b^2*log(c)^2 + 4*(b^3*c^2*x^2 + b^3)*log(x)^3 + 4*(b^3*c^2*log(c)^3 - 3*a*b^2*c^2*log(c)^2)*x^2 + 12*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x)^2 + 3*(4*b^3*log(c) - 4*a*b^2 + 4*(b^3*c^2*log(c) - a*b^2*c^2)*x^2 + 4*(b^3*c^2*x^2 + b^3)*log(x) + sqrt(c^2*x^2 + 1)*(4*b^3*log(c) - 4*a*b^2 + (b^3*c^2*(4*log(c) - 1) - 4*a*b^2*c^2)*x^2 + 4*(b^3*c^2*x^2 + b^3)*log(x)))*log(sqrt(c^2*x^2 + 1) + 1)^2 + 12*(b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2)*log(x) - 12*(b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2 + (b^3*c^2*x^2 + b^3)*log(x)^2 + 2*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x) + (b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2 + (b^3*c^2*x^2 + b^3)*log(x)^2 + 2*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x))*sqrt(c^2*x^2 + 1))*log(sqrt(c^2*x^2 + 1) + 1) + 4*(b^3*log(c)^3 - 3*a*b^2*log(c)^2 + (b^3*c^2*x^2 + b^3)*log(x)^3 + (b^3*c^2*log(c)^3 - 3*a*b^2*c^2*log(c)^2)*x^2 + 3*(b^3*log(c) - a*b^2 + (b^3*c^2*log(c) - a*b^2*c^2)*x^2)*log(x)^2 + 3*(b^3*log(c)^2 - 2*a*b^2*log(c) + (b^3*c^2*log(c)^2 - 2*a*b^2*c^2*log(c))*x^2)*log(x))*sqrt(c^2*x^2 + 1))/(c^2*x^7 + x^5 + (c^2*x^7 + x^5)*sqrt(c^2*x^2 + 1)), x)","F",0
33,0,0,0,0.000000," ","integrate(x/(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\int \frac{x}{b \operatorname{arcsch}\left(c x\right) + a}\,{d x}"," ",0,"integrate(x/(b*arccsch(c*x) + a), x)","F",0
34,0,0,0,0.000000," ","integrate(1/(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\int \frac{1}{b \operatorname{arcsch}\left(c x\right) + a}\,{d x}"," ",0,"integrate(1/(b*arccsch(c*x) + a), x)","F",0
35,0,0,0,0.000000," ","integrate(1/x/(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \operatorname{arcsch}\left(c x\right) + a\right)} x}\,{d x}"," ",0,"integrate(1/((b*arccsch(c*x) + a)*x), x)","F",0
36,0,0,0,0.000000," ","integrate(1/x^2/(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \operatorname{arcsch}\left(c x\right) + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*arccsch(c*x) + a)*x^2), x)","F",0
37,0,0,0,0.000000," ","integrate(1/x^3/(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \operatorname{arcsch}\left(c x\right) + a\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((b*arccsch(c*x) + a)*x^3), x)","F",0
38,0,0,0,0.000000," ","integrate(1/x^4/(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \operatorname{arcsch}\left(c x\right) + a\right)} x^{4}}\,{d x}"," ",0,"integrate(1/((b*arccsch(c*x) + a)*x^4), x)","F",0
39,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*arccsch(c*x))^3,x, algorithm=""maxima"")","\frac{b^{3} d^{m} x x^{m} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{3}}{m + 1} + \frac{\left(d x\right)^{m + 1} a^{3}}{d {\left(m + 1\right)}} - \int \frac{3 \, {\left({\left(b^{3} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b^{2} d^{m} {\left(m + 1\right)} - {\left(a b^{2} c^{2} d^{m} {\left(m + 1\right)} - {\left(d^{m} {\left(m + 1\right)} \log\left(c\right) + d^{m}\right)} b^{3} c^{2}\right)} x^{2} + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} x^{2} + b^{3} d^{m} {\left(m + 1\right)}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1} x^{m} + {\left(b^{3} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b^{2} d^{m} {\left(m + 1\right)} + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b^{2} c^{2} d^{m} {\left(m + 1\right)}\right)} x^{2} + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} x^{2} + b^{3} d^{m} {\left(m + 1\right)}\right)} \log\left(x\right)\right)} x^{m}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2} + {\left(b^{3} d^{m} {\left(m + 1\right)} \log\left(c\right)^{3} - 3 \, a b^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} + 3 \, a^{2} b d^{m} {\left(m + 1\right)} \log\left(c\right) + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} x^{2} + b^{3} d^{m} {\left(m + 1\right)}\right)} \log\left(x\right)^{3} + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)^{3} - 3 \, a b^{2} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} + 3 \, a^{2} b c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)\right)} x^{2} + 3 \, {\left(b^{3} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b^{2} d^{m} {\left(m + 1\right)} + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b^{2} c^{2} d^{m} {\left(m + 1\right)}\right)} x^{2}\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} - 2 \, a b^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) + a^{2} b d^{m} {\left(m + 1\right)} + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) + a^{2} b c^{2} d^{m} {\left(m + 1\right)}\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1} x^{m} + {\left(b^{3} d^{m} {\left(m + 1\right)} \log\left(c\right)^{3} - 3 \, a b^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} + 3 \, a^{2} b d^{m} {\left(m + 1\right)} \log\left(c\right) + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} x^{2} + b^{3} d^{m} {\left(m + 1\right)}\right)} \log\left(x\right)^{3} + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)^{3} - 3 \, a b^{2} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} + 3 \, a^{2} b c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)\right)} x^{2} + 3 \, {\left(b^{3} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b^{2} d^{m} {\left(m + 1\right)} + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b^{2} c^{2} d^{m} {\left(m + 1\right)}\right)} x^{2}\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} - 2 \, a b^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) + a^{2} b d^{m} {\left(m + 1\right)} + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) + a^{2} b c^{2} d^{m} {\left(m + 1\right)}\right)} x^{2}\right)} \log\left(x\right)\right)} x^{m} - 3 \, {\left({\left(b^{3} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} - 2 \, a b^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) + a^{2} b d^{m} {\left(m + 1\right)} + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) + a^{2} b c^{2} d^{m} {\left(m + 1\right)}\right)} x^{2} + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} x^{2} + b^{3} d^{m} {\left(m + 1\right)}\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{3} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b^{2} d^{m} {\left(m + 1\right)} + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b^{2} c^{2} d^{m} {\left(m + 1\right)}\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1} x^{m} + {\left(b^{3} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} - 2 \, a b^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) + a^{2} b d^{m} {\left(m + 1\right)} + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} - 2 \, a b^{2} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) + a^{2} b c^{2} d^{m} {\left(m + 1\right)}\right)} x^{2} + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} x^{2} + b^{3} d^{m} {\left(m + 1\right)}\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{3} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b^{2} d^{m} {\left(m + 1\right)} + {\left(b^{3} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b^{2} c^{2} d^{m} {\left(m + 1\right)}\right)} x^{2}\right)} \log\left(x\right)\right)} x^{m}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{c^{2} {\left(m + 1\right)} x^{2} + {\left(c^{2} {\left(m + 1\right)} x^{2} + m + 1\right)} \sqrt{c^{2} x^{2} + 1} + m + 1}\,{d x}"," ",0,"b^3*d^m*x*x^m*log(sqrt(c^2*x^2 + 1) + 1)^3/(m + 1) + (d*x)^(m + 1)*a^3/(d*(m + 1)) - integrate((3*((b^3*d^m*(m + 1)*log(c) - a*b^2*d^m*(m + 1) - (a*b^2*c^2*d^m*(m + 1) - (d^m*(m + 1)*log(c) + d^m)*b^3*c^2)*x^2 + (b^3*c^2*d^m*(m + 1)*x^2 + b^3*d^m*(m + 1))*log(x))*sqrt(c^2*x^2 + 1)*x^m + (b^3*d^m*(m + 1)*log(c) - a*b^2*d^m*(m + 1) + (b^3*c^2*d^m*(m + 1)*log(c) - a*b^2*c^2*d^m*(m + 1))*x^2 + (b^3*c^2*d^m*(m + 1)*x^2 + b^3*d^m*(m + 1))*log(x))*x^m)*log(sqrt(c^2*x^2 + 1) + 1)^2 + (b^3*d^m*(m + 1)*log(c)^3 - 3*a*b^2*d^m*(m + 1)*log(c)^2 + 3*a^2*b*d^m*(m + 1)*log(c) + (b^3*c^2*d^m*(m + 1)*x^2 + b^3*d^m*(m + 1))*log(x)^3 + (b^3*c^2*d^m*(m + 1)*log(c)^3 - 3*a*b^2*c^2*d^m*(m + 1)*log(c)^2 + 3*a^2*b*c^2*d^m*(m + 1)*log(c))*x^2 + 3*(b^3*d^m*(m + 1)*log(c) - a*b^2*d^m*(m + 1) + (b^3*c^2*d^m*(m + 1)*log(c) - a*b^2*c^2*d^m*(m + 1))*x^2)*log(x)^2 + 3*(b^3*d^m*(m + 1)*log(c)^2 - 2*a*b^2*d^m*(m + 1)*log(c) + a^2*b*d^m*(m + 1) + (b^3*c^2*d^m*(m + 1)*log(c)^2 - 2*a*b^2*c^2*d^m*(m + 1)*log(c) + a^2*b*c^2*d^m*(m + 1))*x^2)*log(x))*sqrt(c^2*x^2 + 1)*x^m + (b^3*d^m*(m + 1)*log(c)^3 - 3*a*b^2*d^m*(m + 1)*log(c)^2 + 3*a^2*b*d^m*(m + 1)*log(c) + (b^3*c^2*d^m*(m + 1)*x^2 + b^3*d^m*(m + 1))*log(x)^3 + (b^3*c^2*d^m*(m + 1)*log(c)^3 - 3*a*b^2*c^2*d^m*(m + 1)*log(c)^2 + 3*a^2*b*c^2*d^m*(m + 1)*log(c))*x^2 + 3*(b^3*d^m*(m + 1)*log(c) - a*b^2*d^m*(m + 1) + (b^3*c^2*d^m*(m + 1)*log(c) - a*b^2*c^2*d^m*(m + 1))*x^2)*log(x)^2 + 3*(b^3*d^m*(m + 1)*log(c)^2 - 2*a*b^2*d^m*(m + 1)*log(c) + a^2*b*d^m*(m + 1) + (b^3*c^2*d^m*(m + 1)*log(c)^2 - 2*a*b^2*c^2*d^m*(m + 1)*log(c) + a^2*b*c^2*d^m*(m + 1))*x^2)*log(x))*x^m - 3*((b^3*d^m*(m + 1)*log(c)^2 - 2*a*b^2*d^m*(m + 1)*log(c) + a^2*b*d^m*(m + 1) + (b^3*c^2*d^m*(m + 1)*log(c)^2 - 2*a*b^2*c^2*d^m*(m + 1)*log(c) + a^2*b*c^2*d^m*(m + 1))*x^2 + (b^3*c^2*d^m*(m + 1)*x^2 + b^3*d^m*(m + 1))*log(x)^2 + 2*(b^3*d^m*(m + 1)*log(c) - a*b^2*d^m*(m + 1) + (b^3*c^2*d^m*(m + 1)*log(c) - a*b^2*c^2*d^m*(m + 1))*x^2)*log(x))*sqrt(c^2*x^2 + 1)*x^m + (b^3*d^m*(m + 1)*log(c)^2 - 2*a*b^2*d^m*(m + 1)*log(c) + a^2*b*d^m*(m + 1) + (b^3*c^2*d^m*(m + 1)*log(c)^2 - 2*a*b^2*c^2*d^m*(m + 1)*log(c) + a^2*b*c^2*d^m*(m + 1))*x^2 + (b^3*c^2*d^m*(m + 1)*x^2 + b^3*d^m*(m + 1))*log(x)^2 + 2*(b^3*d^m*(m + 1)*log(c) - a*b^2*d^m*(m + 1) + (b^3*c^2*d^m*(m + 1)*log(c) - a*b^2*c^2*d^m*(m + 1))*x^2)*log(x))*x^m)*log(sqrt(c^2*x^2 + 1) + 1))/(c^2*(m + 1)*x^2 + (c^2*(m + 1)*x^2 + m + 1)*sqrt(c^2*x^2 + 1) + m + 1), x)","F",0
40,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*arccsch(c*x))^2,x, algorithm=""maxima"")","\frac{b^{2} d^{m} x x^{m} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)^{2}}{m + 1} + \frac{\left(d x\right)^{m + 1} a^{2}}{d {\left(m + 1\right)}} - \int -\frac{{\left(b^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} - 2 \, a b d^{m} {\left(m + 1\right)} \log\left(c\right) + {\left(b^{2} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} - 2 \, a b c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)\right)} x^{2} + {\left(b^{2} c^{2} d^{m} {\left(m + 1\right)} x^{2} + b^{2} d^{m} {\left(m + 1\right)}\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b d^{m} {\left(m + 1\right)} + {\left(b^{2} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b c^{2} d^{m} {\left(m + 1\right)}\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1} x^{m} + {\left(b^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} - 2 \, a b d^{m} {\left(m + 1\right)} \log\left(c\right) + {\left(b^{2} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)^{2} - 2 \, a b c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right)\right)} x^{2} + {\left(b^{2} c^{2} d^{m} {\left(m + 1\right)} x^{2} + b^{2} d^{m} {\left(m + 1\right)}\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b d^{m} {\left(m + 1\right)} + {\left(b^{2} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b c^{2} d^{m} {\left(m + 1\right)}\right)} x^{2}\right)} \log\left(x\right)\right)} x^{m} - 2 \, {\left({\left(b^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b d^{m} {\left(m + 1\right)} - {\left(a b c^{2} d^{m} {\left(m + 1\right)} - {\left(d^{m} {\left(m + 1\right)} \log\left(c\right) + d^{m}\right)} b^{2} c^{2}\right)} x^{2} + {\left(b^{2} c^{2} d^{m} {\left(m + 1\right)} x^{2} + b^{2} d^{m} {\left(m + 1\right)}\right)} \log\left(x\right)\right)} \sqrt{c^{2} x^{2} + 1} x^{m} + {\left(b^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b d^{m} {\left(m + 1\right)} + {\left(b^{2} c^{2} d^{m} {\left(m + 1\right)} \log\left(c\right) - a b c^{2} d^{m} {\left(m + 1\right)}\right)} x^{2} + {\left(b^{2} c^{2} d^{m} {\left(m + 1\right)} x^{2} + b^{2} d^{m} {\left(m + 1\right)}\right)} \log\left(x\right)\right)} x^{m}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{c^{2} {\left(m + 1\right)} x^{2} + {\left(c^{2} {\left(m + 1\right)} x^{2} + m + 1\right)} \sqrt{c^{2} x^{2} + 1} + m + 1}\,{d x}"," ",0,"b^2*d^m*x*x^m*log(sqrt(c^2*x^2 + 1) + 1)^2/(m + 1) + (d*x)^(m + 1)*a^2/(d*(m + 1)) - integrate(-((b^2*d^m*(m + 1)*log(c)^2 - 2*a*b*d^m*(m + 1)*log(c) + (b^2*c^2*d^m*(m + 1)*log(c)^2 - 2*a*b*c^2*d^m*(m + 1)*log(c))*x^2 + (b^2*c^2*d^m*(m + 1)*x^2 + b^2*d^m*(m + 1))*log(x)^2 + 2*(b^2*d^m*(m + 1)*log(c) - a*b*d^m*(m + 1) + (b^2*c^2*d^m*(m + 1)*log(c) - a*b*c^2*d^m*(m + 1))*x^2)*log(x))*sqrt(c^2*x^2 + 1)*x^m + (b^2*d^m*(m + 1)*log(c)^2 - 2*a*b*d^m*(m + 1)*log(c) + (b^2*c^2*d^m*(m + 1)*log(c)^2 - 2*a*b*c^2*d^m*(m + 1)*log(c))*x^2 + (b^2*c^2*d^m*(m + 1)*x^2 + b^2*d^m*(m + 1))*log(x)^2 + 2*(b^2*d^m*(m + 1)*log(c) - a*b*d^m*(m + 1) + (b^2*c^2*d^m*(m + 1)*log(c) - a*b*c^2*d^m*(m + 1))*x^2)*log(x))*x^m - 2*((b^2*d^m*(m + 1)*log(c) - a*b*d^m*(m + 1) - (a*b*c^2*d^m*(m + 1) - (d^m*(m + 1)*log(c) + d^m)*b^2*c^2)*x^2 + (b^2*c^2*d^m*(m + 1)*x^2 + b^2*d^m*(m + 1))*log(x))*sqrt(c^2*x^2 + 1)*x^m + (b^2*d^m*(m + 1)*log(c) - a*b*d^m*(m + 1) + (b^2*c^2*d^m*(m + 1)*log(c) - a*b*c^2*d^m*(m + 1))*x^2 + (b^2*c^2*d^m*(m + 1)*x^2 + b^2*d^m*(m + 1))*log(x))*x^m)*log(sqrt(c^2*x^2 + 1) + 1))/(c^2*(m + 1)*x^2 + (c^2*(m + 1)*x^2 + m + 1)*sqrt(c^2*x^2 + 1) + m + 1), x)","F",0
41,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","{\left(c^{2} d^{m} \int \frac{x^{2} x^{m}}{c^{2} {\left(m + 1\right)} x^{2} + {\left(c^{2} {\left(m + 1\right)} x^{2} + m + 1\right)} \sqrt{c^{2} x^{2} + 1} + m + 1}\,{d x} - \frac{d^{m} x x^{m} \log\left(x\right) - d^{m} x x^{m} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{m + 1} - \int \frac{{\left(c^{2} d^{m} {\left(m + 1\right)} x^{2} \log\left(c\right) + d^{m} {\left(m + 1\right)} \log\left(c\right) - d^{m}\right)} x^{m}}{c^{2} {\left(m + 1\right)} x^{2} + m + 1}\,{d x}\right)} b + \frac{\left(d x\right)^{m + 1} a}{d {\left(m + 1\right)}}"," ",0,"(c^2*d^m*integrate(x^2*x^m/(c^2*(m + 1)*x^2 + (c^2*(m + 1)*x^2 + m + 1)*sqrt(c^2*x^2 + 1) + m + 1), x) - (d^m*x*x^m*log(x) - d^m*x*x^m*log(sqrt(c^2*x^2 + 1) + 1))/(m + 1) - integrate((c^2*d^m*(m + 1)*x^2*log(c) + d^m*(m + 1)*log(c) - d^m)*x^m/(c^2*(m + 1)*x^2 + m + 1), x))*b + (d*x)^(m + 1)*a/(d*(m + 1))","F",0
42,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{b \operatorname{arcsch}\left(c x\right) + a}\,{d x}"," ",0,"integrate((d*x)^m/(b*arccsch(c*x) + a), x)","F",0
43,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*arccsch(c*x))^2,x, algorithm=""maxima"")","-\frac{{\left(c^{2} d^{m} x^{3} + d^{m} x\right)} \sqrt{c^{2} x^{2} + 1} x^{m} + {\left(c^{2} d^{m} x^{3} + d^{m} x\right)} x^{m}}{{\left(b^{2} c^{2} \log\left(c\right) - a b c^{2}\right)} x^{2} + b^{2} \log\left(c\right) - a b + {\left(b^{2} c^{2} x^{2} + b^{2}\right)} \log\left(x\right) - {\left(b^{2} c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} b^{2} + b^{2}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + \sqrt{c^{2} x^{2} + 1} {\left(b^{2} \log\left(c\right) + b^{2} \log\left(x\right) - a b\right)}} - \int -\frac{{\left(c^{2} d^{m} {\left(m + 3\right)} x^{2} + d^{m} {\left(m + 1\right)}\right)} {\left(c^{2} x^{2} + 1\right)} x^{m} + {\left(c^{4} d^{m} {\left(m + 2\right)} x^{4} + c^{2} d^{m} {\left(3 \, m + 5\right)} x^{2} + 2 \, d^{m} {\left(m + 1\right)}\right)} \sqrt{c^{2} x^{2} + 1} x^{m} + {\left(c^{4} d^{m} {\left(m + 1\right)} x^{4} + 2 \, c^{2} d^{m} {\left(m + 1\right)} x^{2} + d^{m} {\left(m + 1\right)}\right)} x^{m}}{{\left(b^{2} c^{4} \log\left(c\right) - a b c^{4}\right)} x^{4} + 2 \, {\left(b^{2} c^{2} \log\left(c\right) - a b c^{2}\right)} x^{2} + b^{2} \log\left(c\right) + {\left(c^{2} x^{2} + 1\right)} {\left(b^{2} \log\left(c\right) + b^{2} \log\left(x\right) - a b\right)} - a b + {\left(b^{2} c^{4} x^{4} + 2 \, b^{2} c^{2} x^{2} + b^{2}\right)} \log\left(x\right) - {\left(b^{2} c^{4} x^{4} + 2 \, b^{2} c^{2} x^{2} + {\left(c^{2} x^{2} + 1\right)} b^{2} + b^{2} + 2 \, {\left(b^{2} c^{2} x^{2} + b^{2}\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 2 \, \sqrt{c^{2} x^{2} + 1} {\left({\left(b^{2} c^{2} \log\left(c\right) - a b c^{2}\right)} x^{2} + b^{2} \log\left(c\right) - a b + {\left(b^{2} c^{2} x^{2} + b^{2}\right)} \log\left(x\right)\right)}}\,{d x}"," ",0,"-((c^2*d^m*x^3 + d^m*x)*sqrt(c^2*x^2 + 1)*x^m + (c^2*d^m*x^3 + d^m*x)*x^m)/((b^2*c^2*log(c) - a*b*c^2)*x^2 + b^2*log(c) - a*b + (b^2*c^2*x^2 + b^2)*log(x) - (b^2*c^2*x^2 + sqrt(c^2*x^2 + 1)*b^2 + b^2)*log(sqrt(c^2*x^2 + 1) + 1) + sqrt(c^2*x^2 + 1)*(b^2*log(c) + b^2*log(x) - a*b)) - integrate(-((c^2*d^m*(m + 3)*x^2 + d^m*(m + 1))*(c^2*x^2 + 1)*x^m + (c^4*d^m*(m + 2)*x^4 + c^2*d^m*(3*m + 5)*x^2 + 2*d^m*(m + 1))*sqrt(c^2*x^2 + 1)*x^m + (c^4*d^m*(m + 1)*x^4 + 2*c^2*d^m*(m + 1)*x^2 + d^m*(m + 1))*x^m)/((b^2*c^4*log(c) - a*b*c^4)*x^4 + 2*(b^2*c^2*log(c) - a*b*c^2)*x^2 + b^2*log(c) + (c^2*x^2 + 1)*(b^2*log(c) + b^2*log(x) - a*b) - a*b + (b^2*c^4*x^4 + 2*b^2*c^2*x^2 + b^2)*log(x) - (b^2*c^4*x^4 + 2*b^2*c^2*x^2 + (c^2*x^2 + 1)*b^2 + b^2 + 2*(b^2*c^2*x^2 + b^2)*sqrt(c^2*x^2 + 1))*log(sqrt(c^2*x^2 + 1) + 1) + 2*sqrt(c^2*x^2 + 1)*((b^2*c^2*log(c) - a*b*c^2)*x^2 + b^2*log(c) - a*b + (b^2*c^2*x^2 + b^2)*log(x))), x)","F",0
44,1,261,0,0.321877," ","integrate((e*x+d)^3*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{4} \, a e^{3} x^{4} + a d e^{2} x^{3} + \frac{3}{2} \, a d^{2} e x^{2} + \frac{3}{2} \, {\left(x^{2} \operatorname{arcsch}\left(c x\right) + \frac{x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c}\right)} b d^{2} e + \frac{1}{4} \, {\left(4 \, x^{3} \operatorname{arcsch}\left(c x\right) + \frac{\frac{2 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - c^{2}} - \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{2}} + \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{2}}}{c}\right)} b d e^{2} + \frac{1}{12} \, {\left(3 \, x^{4} \operatorname{arcsch}\left(c x\right) + \frac{c^{2} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{3}}\right)} b e^{3} + a d^{3} x + \frac{{\left(2 \, c x \operatorname{arcsch}\left(c x\right) + \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)\right)} b d^{3}}{2 \, c}"," ",0,"1/4*a*e^3*x^4 + a*d*e^2*x^3 + 3/2*a*d^2*e*x^2 + 3/2*(x^2*arccsch(c*x) + x*sqrt(1/(c^2*x^2) + 1)/c)*b*d^2*e + 1/4*(4*x^3*arccsch(c*x) + (2*sqrt(1/(c^2*x^2) + 1)/(c^2*(1/(c^2*x^2) + 1) - c^2) - log(sqrt(1/(c^2*x^2) + 1) + 1)/c^2 + log(sqrt(1/(c^2*x^2) + 1) - 1)/c^2)/c)*b*d*e^2 + 1/12*(3*x^4*arccsch(c*x) + (c^2*x^3*(1/(c^2*x^2) + 1)^(3/2) - 3*x*sqrt(1/(c^2*x^2) + 1))/c^3)*b*e^3 + a*d^3*x + 1/2*(2*c*x*arccsch(c*x) + log(sqrt(1/(c^2*x^2) + 1) + 1) - log(sqrt(1/(c^2*x^2) + 1) - 1))*b*d^3/c","A",0
45,1,192,0,0.339735," ","integrate((e*x+d)^2*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{3} \, a e^{2} x^{3} + a d e x^{2} + {\left(x^{2} \operatorname{arcsch}\left(c x\right) + \frac{x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c}\right)} b d e + \frac{1}{12} \, {\left(4 \, x^{3} \operatorname{arcsch}\left(c x\right) + \frac{\frac{2 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - c^{2}} - \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{2}} + \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{2}}}{c}\right)} b e^{2} + a d^{2} x + \frac{{\left(2 \, c x \operatorname{arcsch}\left(c x\right) + \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)\right)} b d^{2}}{2 \, c}"," ",0,"1/3*a*e^2*x^3 + a*d*e*x^2 + (x^2*arccsch(c*x) + x*sqrt(1/(c^2*x^2) + 1)/c)*b*d*e + 1/12*(4*x^3*arccsch(c*x) + (2*sqrt(1/(c^2*x^2) + 1)/(c^2*(1/(c^2*x^2) + 1) - c^2) - log(sqrt(1/(c^2*x^2) + 1) + 1)/c^2 + log(sqrt(1/(c^2*x^2) + 1) - 1)/c^2)/c)*b*e^2 + a*d^2*x + 1/2*(2*c*x*arccsch(c*x) + log(sqrt(1/(c^2*x^2) + 1) + 1) - log(sqrt(1/(c^2*x^2) + 1) - 1))*b*d^2/c","A",0
46,1,87,0,0.389713," ","integrate((e*x+d)*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{2} \, a e x^{2} + \frac{1}{2} \, {\left(x^{2} \operatorname{arcsch}\left(c x\right) + \frac{x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c}\right)} b e + a d x + \frac{{\left(2 \, c x \operatorname{arcsch}\left(c x\right) + \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)\right)} b d}{2 \, c}"," ",0,"1/2*a*e*x^2 + 1/2*(x^2*arccsch(c*x) + x*sqrt(1/(c^2*x^2) + 1)/c)*b*e + a*d*x + 1/2*(2*c*x*arccsch(c*x) + log(sqrt(1/(c^2*x^2) + 1) + 1) - log(sqrt(1/(c^2*x^2) + 1) - 1))*b*d/c","A",0
47,1,49,0,0.307077," ","integrate(a+b*arccsch(c*x),x, algorithm=""maxima"")","a x + \frac{{\left(2 \, c x \operatorname{arcsch}\left(c x\right) + \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)\right)} b}{2 \, c}"," ",0,"a*x + 1/2*(2*c*x*arccsch(c*x) + log(sqrt(1/(c^2*x^2) + 1) + 1) - log(sqrt(1/(c^2*x^2) + 1) - 1))*b/c","A",0
48,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/(e*x+d),x, algorithm=""maxima"")","b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e x + d}\,{d x} + \frac{a \log\left(e x + d\right)}{e}"," ",0,"b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e*x + d), x) + a*log(e*x + d)/e","F",0
49,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(2 \, c^{2} \int \frac{x}{c^{2} e^{2} x^{3} + c^{2} d e x^{2} + e^{2} x + d e + {\left(c^{2} e^{2} x^{3} + c^{2} d e x^{2} + e^{2} x + d e\right)} \sqrt{c^{2} x^{2} + 1}}\,{d x} + \frac{i \, c {\left(\log\left(i \, c x + 1\right) - \log\left(-i \, c x + 1\right)\right)}}{c^{2} d^{2} + e^{2}} - \frac{2 \, e \log\left(e x + d\right)}{c^{2} d^{3} + d e^{2}} - \frac{2 \, c^{2} d^{3} \log\left(c\right) + 2 \, d e^{2} \log\left(c\right) - 2 \, {\left(c^{2} d^{2} e + e^{3}\right)} x \log\left(x\right) + {\left(c^{2} d^{2} e x + c^{2} d^{3}\right)} \log\left(c^{2} x^{2} + 1\right) - 2 \, {\left(c^{2} d^{3} + d e^{2}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{c^{2} d^{4} e + d^{2} e^{3} + {\left(c^{2} d^{3} e^{2} + d e^{4}\right)} x}\right)} b - \frac{a}{e^{2} x + d e}"," ",0,"-1/2*(2*c^2*integrate(x/(c^2*e^2*x^3 + c^2*d*e*x^2 + e^2*x + d*e + (c^2*e^2*x^3 + c^2*d*e*x^2 + e^2*x + d*e)*sqrt(c^2*x^2 + 1)), x) + I*c*(log(I*c*x + 1) - log(-I*c*x + 1))/(c^2*d^2 + e^2) - 2*e*log(e*x + d)/(c^2*d^3 + d*e^2) - (2*c^2*d^3*log(c) + 2*d*e^2*log(c) - 2*(c^2*d^2*e + e^3)*x*log(x) + (c^2*d^2*e*x + c^2*d^3)*log(c^2*x^2 + 1) - 2*(c^2*d^3 + d*e^2)*log(sqrt(c^2*x^2 + 1) + 1))/(c^2*d^4*e + d^2*e^3 + (c^2*d^3*e^2 + d*e^4)*x))*b - a/(e^2*x + d*e)","F",0
50,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(\frac{2 i \, c^{3} d {\left(\log\left(i \, c x + 1\right) - \log\left(-i \, c x + 1\right)\right)}}{c^{4} d^{4} + 2 \, c^{2} d^{2} e^{2} + e^{4}} + 4 \, c^{2} \int \frac{x}{2 \, {\left(c^{2} e^{3} x^{4} + 2 \, c^{2} d e^{2} x^{3} + 2 \, d e^{2} x + d^{2} e + {\left(c^{2} d^{2} e + e^{3}\right)} x^{2} + {\left(c^{2} e^{3} x^{4} + 2 \, c^{2} d e^{2} x^{3} + 2 \, d e^{2} x + d^{2} e + {\left(c^{2} d^{2} e + e^{3}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} + 1}\right)}}\,{d x} - \frac{2 \, {\left(3 \, c^{2} d^{2} e + e^{3}\right)} \log\left(e x + d\right)}{c^{4} d^{6} + 2 \, c^{2} d^{4} e^{2} + d^{2} e^{4}} - \frac{2 \, c^{4} d^{6} \log\left(c\right) + 2 \, d^{2} e^{4} \log\left(c\right) - 2 \, d^{2} e^{4} + 2 \, {\left(2 \, d^{4} e^{2} \log\left(c\right) - d^{4} e^{2}\right)} c^{2} - 2 \, {\left(c^{2} d^{3} e^{3} + d e^{5}\right)} x + {\left(c^{4} d^{6} - c^{2} d^{4} e^{2} + {\left(c^{4} d^{4} e^{2} - c^{2} d^{2} e^{4}\right)} x^{2} + 2 \, {\left(c^{4} d^{5} e - c^{2} d^{3} e^{3}\right)} x\right)} \log\left(c^{2} x^{2} + 1\right) - 2 \, {\left({\left(c^{4} d^{4} e^{2} + 2 \, c^{2} d^{2} e^{4} + e^{6}\right)} x^{2} + 2 \, {\left(c^{4} d^{5} e + 2 \, c^{2} d^{3} e^{3} + d e^{5}\right)} x\right)} \log\left(x\right) - 2 \, {\left(c^{4} d^{6} + 2 \, c^{2} d^{4} e^{2} + d^{2} e^{4}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{c^{4} d^{8} e + 2 \, c^{2} d^{6} e^{3} + d^{4} e^{5} + {\left(c^{4} d^{6} e^{3} + 2 \, c^{2} d^{4} e^{5} + d^{2} e^{7}\right)} x^{2} + 2 \, {\left(c^{4} d^{7} e^{2} + 2 \, c^{2} d^{5} e^{4} + d^{3} e^{6}\right)} x}\right)} b - \frac{a}{2 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}}"," ",0,"-1/4*(2*I*c^3*d*(log(I*c*x + 1) - log(-I*c*x + 1))/(c^4*d^4 + 2*c^2*d^2*e^2 + e^4) + 4*c^2*integrate(1/2*x/(c^2*e^3*x^4 + 2*c^2*d*e^2*x^3 + 2*d*e^2*x + d^2*e + (c^2*d^2*e + e^3)*x^2 + (c^2*e^3*x^4 + 2*c^2*d*e^2*x^3 + 2*d*e^2*x + d^2*e + (c^2*d^2*e + e^3)*x^2)*sqrt(c^2*x^2 + 1)), x) - 2*(3*c^2*d^2*e + e^3)*log(e*x + d)/(c^4*d^6 + 2*c^2*d^4*e^2 + d^2*e^4) - (2*c^4*d^6*log(c) + 2*d^2*e^4*log(c) - 2*d^2*e^4 + 2*(2*d^4*e^2*log(c) - d^4*e^2)*c^2 - 2*(c^2*d^3*e^3 + d*e^5)*x + (c^4*d^6 - c^2*d^4*e^2 + (c^4*d^4*e^2 - c^2*d^2*e^4)*x^2 + 2*(c^4*d^5*e - c^2*d^3*e^3)*x)*log(c^2*x^2 + 1) - 2*((c^4*d^4*e^2 + 2*c^2*d^2*e^4 + e^6)*x^2 + 2*(c^4*d^5*e + 2*c^2*d^3*e^3 + d*e^5)*x)*log(x) - 2*(c^4*d^6 + 2*c^2*d^4*e^2 + d^2*e^4)*log(sqrt(c^2*x^2 + 1) + 1))/(c^4*d^8*e + 2*c^2*d^6*e^3 + d^4*e^5 + (c^4*d^6*e^3 + 2*c^2*d^4*e^5 + d^2*e^7)*x^2 + 2*(c^4*d^7*e^2 + 2*c^2*d^5*e^4 + d^3*e^6)*x))*b - 1/2*a/(e^3*x^2 + 2*d*e^2*x + d^2*e)","F",0
51,-1,0,0,0.000000," ","integrate(x^2*(a+b*arccsch(c*x))*(e*x+d)^(1/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
52,-1,0,0,0.000000," ","integrate(x*(a+b*arccsch(c*x))*(e*x+d)^(1/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
53,-1,0,0,0.000000," ","integrate((a+b*arccsch(c*x))*(e*x+d)^(1/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
54,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))*(e*x+d)^(1/2)/x,x, algorithm=""maxima"")","{\left(\sqrt{d} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right) + 2 \, \sqrt{e x + d}\right)} a - {\left({\left(\sqrt{d} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right) + 2 \, \sqrt{e x + d}\right)} \log\left(c\right) + \int \frac{\sqrt{e x + d} \log\left(x\right)}{x}\,{d x} - \int \frac{\sqrt{e x + d} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{x}\,{d x}\right)} b"," ",0,"(sqrt(d)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d))) + 2*sqrt(e*x + d))*a - ((sqrt(d)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d))) + 2*sqrt(e*x + d))*log(c) + integrate(sqrt(e*x + d)*log(x)/x, x) - integrate(sqrt(e*x + d)*log(sqrt(c^2*x^2 + 1) + 1)/x, x))*b","F",0
55,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))*(e*x+d)^(1/2)/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{e \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{\sqrt{d}} - \frac{2 \, \sqrt{e x + d}}{x}\right)} a - \frac{1}{2} \, {\left({\left(\frac{e \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{\sqrt{d}} - \frac{2 \, \sqrt{e x + d}}{x}\right)} \log\left(c\right) + 2 \, \int \frac{\sqrt{e x + d} \log\left(x\right)}{x^{2}}\,{d x} - 2 \, \int \frac{\sqrt{e x + d} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{x^{2}}\,{d x}\right)} b"," ",0,"1/2*(e*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/sqrt(d) - 2*sqrt(e*x + d)/x)*a - 1/2*((e*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/sqrt(d) - 2*sqrt(e*x + d)/x)*log(c) + 2*integrate(sqrt(e*x + d)*log(x)/x^2, x) - 2*integrate(sqrt(e*x + d)*log(sqrt(c^2*x^2 + 1) + 1)/x^2, x))*b","F",0
56,-1,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
57,0,0,0,0.000000," ","integrate(x^3*(a+b*arccsch(c*x))/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2}{35} \, a {\left(\frac{5 \, {\left(e x + d\right)}^{\frac{7}{2}}}{e^{4}} - \frac{21 \, {\left(e x + d\right)}^{\frac{5}{2}} d}{e^{4}} + \frac{35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2}}{e^{4}} - \frac{35 \, \sqrt{e x + d} d^{3}}{e^{4}}\right)} + \frac{1}{35} \, b {\left(\frac{2 \, {\left(5 \, e^{4} x^{4} - d e^{3} x^{3} + 2 \, d^{2} e^{2} x^{2} - 8 \, d^{3} e x - 16 \, d^{4}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x + d} e^{4}} + 35 \, \int \frac{2 \, {\left(5 \, c^{2} e^{4} x^{5} - c^{2} d e^{3} x^{4} + 2 \, c^{2} d^{2} e^{2} x^{3} - 8 \, c^{2} d^{3} e x^{2} - 16 \, c^{2} d^{4} x\right)}}{35 \, {\left({\left(c^{2} e^{4} x^{2} + e^{4}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x + d} + {\left(c^{2} e^{4} x^{2} + e^{4}\right)} \sqrt{e x + d}\right)}}\,{d x} - 35 \, \int -\frac{2 \, c^{2} d e^{3} x^{4} + 16 \, c^{2} d^{3} e x^{2} - 5 \, {\left(7 \, e^{4} \log\left(c\right) + 2 \, e^{4}\right)} c^{2} x^{5} + 32 \, c^{2} d^{4} x - {\left(4 \, c^{2} d^{2} e^{2} + 35 \, e^{4} \log\left(c\right)\right)} x^{3} - 35 \, {\left(c^{2} e^{4} x^{5} + e^{4} x^{3}\right)} \log\left(x\right)}{35 \, {\left(c^{2} e^{4} x^{2} + e^{4}\right)} \sqrt{e x + d}}\,{d x}\right)}"," ",0,"2/35*a*(5*(e*x + d)^(7/2)/e^4 - 21*(e*x + d)^(5/2)*d/e^4 + 35*(e*x + d)^(3/2)*d^2/e^4 - 35*sqrt(e*x + d)*d^3/e^4) + 1/35*b*(2*(5*e^4*x^4 - d*e^3*x^3 + 2*d^2*e^2*x^2 - 8*d^3*e*x - 16*d^4)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x + d)*e^4) + 35*integrate(2/35*(5*c^2*e^4*x^5 - c^2*d*e^3*x^4 + 2*c^2*d^2*e^2*x^3 - 8*c^2*d^3*e*x^2 - 16*c^2*d^4*x)/((c^2*e^4*x^2 + e^4)*sqrt(c^2*x^2 + 1)*sqrt(e*x + d) + (c^2*e^4*x^2 + e^4)*sqrt(e*x + d)), x) - 35*integrate(-1/35*(2*c^2*d*e^3*x^4 + 16*c^2*d^3*e*x^2 - 5*(7*e^4*log(c) + 2*e^4)*c^2*x^5 + 32*c^2*d^4*x - (4*c^2*d^2*e^2 + 35*e^4*log(c))*x^3 - 35*(c^2*e^4*x^5 + e^4*x^3)*log(x))/((c^2*e^4*x^2 + e^4)*sqrt(e*x + d)), x))","F",0
58,0,0,0,0.000000," ","integrate(x^2*(a+b*arccsch(c*x))/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2}{15} \, a {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}}}{e^{3}} - \frac{10 \, {\left(e x + d\right)}^{\frac{3}{2}} d}{e^{3}} + \frac{15 \, \sqrt{e x + d} d^{2}}{e^{3}}\right)} + \frac{1}{15} \, b {\left(\frac{2 \, {\left(3 \, e^{3} x^{3} - d e^{2} x^{2} + 4 \, d^{2} e x + 8 \, d^{3}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x + d} e^{3}} + 15 \, \int \frac{2 \, {\left(3 \, c^{2} e^{3} x^{4} - c^{2} d e^{2} x^{3} + 4 \, c^{2} d^{2} e x^{2} + 8 \, c^{2} d^{3} x\right)}}{15 \, {\left({\left(c^{2} e^{3} x^{2} + e^{3}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x + d} + {\left(c^{2} e^{3} x^{2} + e^{3}\right)} \sqrt{e x + d}\right)}}\,{d x} - 15 \, \int -\frac{2 \, c^{2} d e^{2} x^{3} - 3 \, {\left(5 \, e^{3} \log\left(c\right) + 2 \, e^{3}\right)} c^{2} x^{4} - 16 \, c^{2} d^{3} x - {\left(8 \, c^{2} d^{2} e + 15 \, e^{3} \log\left(c\right)\right)} x^{2} - 15 \, {\left(c^{2} e^{3} x^{4} + e^{3} x^{2}\right)} \log\left(x\right)}{15 \, {\left(c^{2} e^{3} x^{2} + e^{3}\right)} \sqrt{e x + d}}\,{d x}\right)}"," ",0,"2/15*a*(3*(e*x + d)^(5/2)/e^3 - 10*(e*x + d)^(3/2)*d/e^3 + 15*sqrt(e*x + d)*d^2/e^3) + 1/15*b*(2*(3*e^3*x^3 - d*e^2*x^2 + 4*d^2*e*x + 8*d^3)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x + d)*e^3) + 15*integrate(2/15*(3*c^2*e^3*x^4 - c^2*d*e^2*x^3 + 4*c^2*d^2*e*x^2 + 8*c^2*d^3*x)/((c^2*e^3*x^2 + e^3)*sqrt(c^2*x^2 + 1)*sqrt(e*x + d) + (c^2*e^3*x^2 + e^3)*sqrt(e*x + d)), x) - 15*integrate(-1/15*(2*c^2*d*e^2*x^3 - 3*(5*e^3*log(c) + 2*e^3)*c^2*x^4 - 16*c^2*d^3*x - (8*c^2*d^2*e + 15*e^3*log(c))*x^2 - 15*(c^2*e^3*x^4 + e^3*x^2)*log(x))/((c^2*e^3*x^2 + e^3)*sqrt(e*x + d)), x))","F",0
59,0,0,0,0.000000," ","integrate(x*(a+b*arccsch(c*x))/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, a {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}}}{e^{2}} - \frac{3 \, \sqrt{e x + d} d}{e^{2}}\right)} + \frac{1}{3} \, b {\left(\frac{2 \, {\left(e^{2} x^{2} - d e x - 2 \, d^{2}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x + d} e^{2}} + 3 \, \int \frac{2 \, {\left(c^{2} e^{2} x^{3} - c^{2} d e x^{2} - 2 \, c^{2} d^{2} x\right)}}{3 \, {\left({\left(c^{2} e^{2} x^{2} + e^{2}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x + d} + {\left(c^{2} e^{2} x^{2} + e^{2}\right)} \sqrt{e x + d}\right)}}\,{d x} - 3 \, \int -\frac{2 \, c^{2} d e x^{2} - {\left(3 \, e^{2} \log\left(c\right) + 2 \, e^{2}\right)} c^{2} x^{3} + {\left(4 \, c^{2} d^{2} - 3 \, e^{2} \log\left(c\right)\right)} x - 3 \, {\left(c^{2} e^{2} x^{3} + e^{2} x\right)} \log\left(x\right)}{3 \, {\left(c^{2} e^{2} x^{2} + e^{2}\right)} \sqrt{e x + d}}\,{d x}\right)}"," ",0,"2/3*a*((e*x + d)^(3/2)/e^2 - 3*sqrt(e*x + d)*d/e^2) + 1/3*b*(2*(e^2*x^2 - d*e*x - 2*d^2)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x + d)*e^2) + 3*integrate(2/3*(c^2*e^2*x^3 - c^2*d*e*x^2 - 2*c^2*d^2*x)/((c^2*e^2*x^2 + e^2)*sqrt(c^2*x^2 + 1)*sqrt(e*x + d) + (c^2*e^2*x^2 + e^2)*sqrt(e*x + d)), x) - 3*integrate(-1/3*(2*c^2*d*e*x^2 - (3*e^2*log(c) + 2*e^2)*c^2*x^3 + (4*c^2*d^2 - 3*e^2*log(c))*x - 3*(c^2*e^2*x^3 + e^2*x)*log(x))/((c^2*e^2*x^2 + e^2)*sqrt(e*x + d)), x))","F",0
60,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/(e*x+d)^(1/2),x, algorithm=""maxima"")","b {\left(\frac{2 \, \sqrt{e x + d} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{e} + \int \frac{2 \, {\left(c^{2} e x^{2} + c^{2} d x\right)}}{{\left(c^{2} e x^{2} + e\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x + d} + {\left(c^{2} e x^{2} + e\right)} \sqrt{e x + d}}\,{d x} - \int \frac{{\left(e \log\left(c\right) + 2 \, e\right)} c^{2} x^{2} + 2 \, c^{2} d x + e \log\left(c\right) + {\left(c^{2} e x^{2} + e\right)} \log\left(x\right)}{{\left(c^{2} e x^{2} + e\right)} \sqrt{e x + d}}\,{d x}\right)} + \frac{2 \, \sqrt{e x + d} a}{e}"," ",0,"b*(2*sqrt(e*x + d)*log(sqrt(c^2*x^2 + 1) + 1)/e + integrate(2*(c^2*e*x^2 + c^2*d*x)/((c^2*e*x^2 + e)*sqrt(c^2*x^2 + 1)*sqrt(e*x + d) + (c^2*e*x^2 + e)*sqrt(e*x + d)), x) - integrate(((e*log(c) + 2*e)*c^2*x^2 + 2*c^2*d*x + e*log(c) + (c^2*e*x^2 + e)*log(x))/((c^2*e*x^2 + e)*sqrt(e*x + d)), x)) + 2*sqrt(e*x + d)*a/e","F",0
61,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x/(e*x+d)^(1/2),x, algorithm=""maxima"")","-{\left(\frac{\log\left(c\right) \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{\sqrt{d}} + \int \frac{\log\left(x\right)}{\sqrt{e x + d} x}\,{d x} - \int \frac{\log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x + d} x}\,{d x}\right)} b + \frac{a \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{\sqrt{d}}"," ",0,"-(log(c)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/sqrt(d) + integrate(log(x)/(sqrt(e*x + d)*x), x) - integrate(log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x + d)*x), x))*b + a*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/sqrt(d)","F",0
62,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x^2/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, {\left({\left(\frac{2 \, \sqrt{e x + d} e}{{\left(e x + d\right)} d - d^{2}} + \frac{e \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{d^{\frac{3}{2}}}\right)} \log\left(c\right) - 2 \, \int \frac{\log\left(x\right)}{\sqrt{e x + d} x^{2}}\,{d x} + 2 \, \int \frac{\log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x + d} x^{2}}\,{d x}\right)} b - \frac{1}{2} \, a {\left(\frac{2 \, \sqrt{e x + d} e}{{\left(e x + d\right)} d - d^{2}} + \frac{e \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{d^{\frac{3}{2}}}\right)}"," ",0,"1/2*((2*sqrt(e*x + d)*e/((e*x + d)*d - d^2) + e*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/d^(3/2))*log(c) - 2*integrate(log(x)/(sqrt(e*x + d)*x^2), x) + 2*integrate(log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x + d)*x^2), x))*b - 1/2*a*(2*sqrt(e*x + d)*e/((e*x + d)*d - d^2) + e*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/d^(3/2))","F",0
63,0,0,0,0.000000," ","integrate(x^3*(a+b*arccsch(c*x))/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2}{5} \, a {\left(\frac{{\left(e x + d\right)}^{\frac{5}{2}}}{e^{4}} - \frac{5 \, {\left(e x + d\right)}^{\frac{3}{2}} d}{e^{4}} + \frac{15 \, \sqrt{e x + d} d^{2}}{e^{4}} + \frac{5 \, d^{3}}{\sqrt{e x + d} e^{4}}\right)} + \frac{1}{5} \, b {\left(\frac{2 \, {\left(e^{3} x^{3} - 2 \, d e^{2} x^{2} + 8 \, d^{2} e x + 16 \, d^{3}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x + d} e^{4}} + 5 \, \int \frac{2 \, {\left(c^{2} e^{3} x^{4} - 2 \, c^{2} d e^{2} x^{3} + 8 \, c^{2} d^{2} e x^{2} + 16 \, c^{2} d^{3} x\right)}}{5 \, {\left({\left(c^{2} e^{4} x^{2} + e^{4}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x + d} + {\left(c^{2} e^{4} x^{2} + e^{4}\right)} \sqrt{e x + d}\right)}}\,{d x} - 5 \, \int -\frac{2 \, c^{2} d e^{3} x^{4} - 48 \, c^{2} d^{3} e x^{2} - {\left(5 \, e^{4} \log\left(c\right) + 2 \, e^{4}\right)} c^{2} x^{5} - 32 \, c^{2} d^{4} x - {\left(12 \, c^{2} d^{2} e^{2} + 5 \, e^{4} \log\left(c\right)\right)} x^{3} - 5 \, {\left(c^{2} e^{4} x^{5} + e^{4} x^{3}\right)} \log\left(x\right)}{5 \, {\left(c^{2} e^{5} x^{3} + c^{2} d e^{4} x^{2} + e^{5} x + d e^{4}\right)} \sqrt{e x + d}}\,{d x}\right)}"," ",0,"2/5*a*((e*x + d)^(5/2)/e^4 - 5*(e*x + d)^(3/2)*d/e^4 + 15*sqrt(e*x + d)*d^2/e^4 + 5*d^3/(sqrt(e*x + d)*e^4)) + 1/5*b*(2*(e^3*x^3 - 2*d*e^2*x^2 + 8*d^2*e*x + 16*d^3)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x + d)*e^4) + 5*integrate(2/5*(c^2*e^3*x^4 - 2*c^2*d*e^2*x^3 + 8*c^2*d^2*e*x^2 + 16*c^2*d^3*x)/((c^2*e^4*x^2 + e^4)*sqrt(c^2*x^2 + 1)*sqrt(e*x + d) + (c^2*e^4*x^2 + e^4)*sqrt(e*x + d)), x) - 5*integrate(-1/5*(2*c^2*d*e^3*x^4 - 48*c^2*d^3*e*x^2 - (5*e^4*log(c) + 2*e^4)*c^2*x^5 - 32*c^2*d^4*x - (12*c^2*d^2*e^2 + 5*e^4*log(c))*x^3 - 5*(c^2*e^4*x^5 + e^4*x^3)*log(x))/((c^2*e^5*x^3 + c^2*d*e^4*x^2 + e^5*x + d*e^4)*sqrt(e*x + d)), x))","F",0
64,0,0,0,0.000000," ","integrate(x^2*(a+b*arccsch(c*x))/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2}{3} \, a {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}}}{e^{3}} - \frac{6 \, \sqrt{e x + d} d}{e^{3}} - \frac{3 \, d^{2}}{\sqrt{e x + d} e^{3}}\right)} + \frac{1}{3} \, b {\left(\frac{2 \, {\left(e^{2} x^{2} - 4 \, d e x - 8 \, d^{2}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x + d} e^{3}} + 3 \, \int \frac{2 \, {\left(c^{2} e^{2} x^{3} - 4 \, c^{2} d e x^{2} - 8 \, c^{2} d^{2} x\right)}}{3 \, {\left({\left(c^{2} e^{3} x^{2} + e^{3}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x + d} + {\left(c^{2} e^{3} x^{2} + e^{3}\right)} \sqrt{e x + d}\right)}}\,{d x} - 3 \, \int -\frac{6 \, c^{2} d e^{2} x^{3} - {\left(3 \, e^{3} \log\left(c\right) + 2 \, e^{3}\right)} c^{2} x^{4} + 16 \, c^{2} d^{3} x + 3 \, {\left(8 \, c^{2} d^{2} e - e^{3} \log\left(c\right)\right)} x^{2} - 3 \, {\left(c^{2} e^{3} x^{4} + e^{3} x^{2}\right)} \log\left(x\right)}{3 \, {\left(c^{2} e^{4} x^{3} + c^{2} d e^{3} x^{2} + e^{4} x + d e^{3}\right)} \sqrt{e x + d}}\,{d x}\right)}"," ",0,"2/3*a*((e*x + d)^(3/2)/e^3 - 6*sqrt(e*x + d)*d/e^3 - 3*d^2/(sqrt(e*x + d)*e^3)) + 1/3*b*(2*(e^2*x^2 - 4*d*e*x - 8*d^2)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x + d)*e^3) + 3*integrate(2/3*(c^2*e^2*x^3 - 4*c^2*d*e*x^2 - 8*c^2*d^2*x)/((c^2*e^3*x^2 + e^3)*sqrt(c^2*x^2 + 1)*sqrt(e*x + d) + (c^2*e^3*x^2 + e^3)*sqrt(e*x + d)), x) - 3*integrate(-1/3*(6*c^2*d*e^2*x^3 - (3*e^3*log(c) + 2*e^3)*c^2*x^4 + 16*c^2*d^3*x + 3*(8*c^2*d^2*e - e^3*log(c))*x^2 - 3*(c^2*e^3*x^4 + e^3*x^2)*log(x))/((c^2*e^4*x^3 + c^2*d*e^3*x^2 + e^4*x + d*e^3)*sqrt(e*x + d)), x))","F",0
65,0,0,0,0.000000," ","integrate(x*(a+b*arccsch(c*x))/(e*x+d)^(3/2),x, algorithm=""maxima"")","b {\left(\frac{2 \, {\left(e x + 2 \, d\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x + d} e^{2}} + \int \frac{2 \, {\left(c^{2} e x^{2} + 2 \, c^{2} d x\right)}}{{\left(c^{2} e^{2} x^{2} + e^{2}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x + d} + {\left(c^{2} e^{2} x^{2} + e^{2}\right)} \sqrt{e x + d}}\,{d x} - \int \frac{6 \, c^{2} d e x^{2} + {\left(e^{2} \log\left(c\right) + 2 \, e^{2}\right)} c^{2} x^{3} + {\left(4 \, c^{2} d^{2} + e^{2} \log\left(c\right)\right)} x + {\left(c^{2} e^{2} x^{3} + e^{2} x\right)} \log\left(x\right)}{{\left(c^{2} e^{3} x^{3} + c^{2} d e^{2} x^{2} + e^{3} x + d e^{2}\right)} \sqrt{e x + d}}\,{d x}\right)} + 2 \, a {\left(\frac{\sqrt{e x + d}}{e^{2}} + \frac{d}{\sqrt{e x + d} e^{2}}\right)}"," ",0,"b*(2*(e*x + 2*d)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x + d)*e^2) + integrate(2*(c^2*e*x^2 + 2*c^2*d*x)/((c^2*e^2*x^2 + e^2)*sqrt(c^2*x^2 + 1)*sqrt(e*x + d) + (c^2*e^2*x^2 + e^2)*sqrt(e*x + d)), x) - integrate((6*c^2*d*e*x^2 + (e^2*log(c) + 2*e^2)*c^2*x^3 + (4*c^2*d^2 + e^2*log(c))*x + (c^2*e^2*x^3 + e^2*x)*log(x))/((c^2*e^3*x^3 + c^2*d*e^2*x^2 + e^3*x + d*e^2)*sqrt(e*x + d)), x)) + 2*a*(sqrt(e*x + d)/e^2 + d/(sqrt(e*x + d)*e^2))","F",0
66,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/(e*x+d)^(3/2),x, algorithm=""maxima"")","-{\left(2 \, c^{2} \int \frac{x}{{\left(c^{2} e x^{2} + e\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x + d} + {\left(c^{2} e x^{2} + e\right)} \sqrt{e x + d}}\,{d x} + \frac{2 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x + d} e} + \int \frac{{\left(e \log\left(c\right) - 2 \, e\right)} c^{2} x^{2} - 2 \, c^{2} d x + e \log\left(c\right) + {\left(c^{2} e x^{2} + e\right)} \log\left(x\right)}{{\left(c^{2} e^{2} x^{3} + c^{2} d e x^{2} + e^{2} x + d e\right)} \sqrt{e x + d}}\,{d x}\right)} b - \frac{2 \, a}{\sqrt{e x + d} e}"," ",0,"-(2*c^2*integrate(x/((c^2*e*x^2 + e)*sqrt(c^2*x^2 + 1)*sqrt(e*x + d) + (c^2*e*x^2 + e)*sqrt(e*x + d)), x) + 2*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x + d)*e) + integrate(((e*log(c) - 2*e)*c^2*x^2 - 2*c^2*d*x + e*log(c) + (c^2*e*x^2 + e)*log(x))/((c^2*e^2*x^3 + c^2*d*e*x^2 + e^2*x + d*e)*sqrt(e*x + d)), x))*b - 2*a/(sqrt(e*x + d)*e)","F",0
67,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x/(e*x+d)^(3/2),x, algorithm=""maxima"")","-b {\left(\frac{{\left(\frac{e \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2 \, e}{\sqrt{e x + d} d}\right)} \log\left(c\right)}{e} + \int \frac{\log\left(x\right)}{\sqrt{e x + d} e x^{2} + \sqrt{e x + d} d x}\,{d x} - \int \frac{\log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x + d} e x^{2} + \sqrt{e x + d} d x}\,{d x}\right)} + a {\left(\frac{\log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2}{\sqrt{e x + d} d}\right)}"," ",0,"-b*((e*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/d^(3/2) + 2*e/(sqrt(e*x + d)*d))*log(c)/e + integrate(log(x)/(sqrt(e*x + d)*e*x^2 + sqrt(e*x + d)*d*x), x) - integrate(log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x + d)*e*x^2 + sqrt(e*x + d)*d*x), x)) + a*(log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/d^(3/2) + 2/(sqrt(e*x + d)*d))","F",0
68,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x^2/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{1}{2} \, b {\left(\frac{{\left(\frac{3 \, e^{2} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{d^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, {\left(e x + d\right)} e^{2} - 2 \, d e^{2}\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} d^{2} - \sqrt{e x + d} d^{3}}\right)} \log\left(c\right)}{e} - 2 \, \int \frac{\log\left(x\right)}{\sqrt{e x + d} e x^{3} + \sqrt{e x + d} d x^{2}}\,{d x} + 2 \, \int \frac{\log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x + d} e x^{3} + \sqrt{e x + d} d x^{2}}\,{d x}\right)} - \frac{1}{2} \, a {\left(\frac{2 \, {\left(3 \, {\left(e x + d\right)} e - 2 \, d e\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} d^{2} - \sqrt{e x + d} d^{3}} + \frac{3 \, e \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{d^{\frac{5}{2}}}\right)}"," ",0,"1/2*b*((3*e^2*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/d^(5/2) + 2*(3*(e*x + d)*e^2 - 2*d*e^2)/((e*x + d)^(3/2)*d^2 - sqrt(e*x + d)*d^3))*log(c)/e - 2*integrate(log(x)/(sqrt(e*x + d)*e*x^3 + sqrt(e*x + d)*d*x^2), x) + 2*integrate(log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x + d)*e*x^3 + sqrt(e*x + d)*d*x^2), x)) - 1/2*a*(2*(3*(e*x + d)*e - 2*d*e)/((e*x + d)^(3/2)*d^2 - sqrt(e*x + d)*d^3) + 3*e*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/d^(5/2))","F",0
69,0,0,0,0.000000," ","integrate(x^3*(a+b*arccsch(c*x))/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{1}{3} \, b {\left(\frac{2 \, {\left(e^{3} x^{3} - 6 \, d e^{2} x^{2} - 24 \, d^{2} e x - 16 \, d^{3}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{{\left(e^{5} x + d e^{4}\right)} \sqrt{e x + d}} + 3 \, \int \frac{2 \, {\left(c^{2} e^{3} x^{4} - 6 \, c^{2} d e^{2} x^{3} - 24 \, c^{2} d^{2} e x^{2} - 16 \, c^{2} d^{3} x\right)}}{3 \, {\left({\left(c^{2} e^{5} x^{3} + c^{2} d e^{4} x^{2} + e^{5} x + d e^{4}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x + d} + {\left(c^{2} e^{5} x^{3} + c^{2} d e^{4} x^{2} + e^{5} x + d e^{4}\right)} \sqrt{e x + d}\right)}}\,{d x} - 3 \, \int -\frac{10 \, c^{2} d e^{3} x^{4} + 80 \, c^{2} d^{3} e x^{2} - {\left(3 \, e^{4} \log\left(c\right) + 2 \, e^{4}\right)} c^{2} x^{5} + 32 \, c^{2} d^{4} x + 3 \, {\left(20 \, c^{2} d^{2} e^{2} - e^{4} \log\left(c\right)\right)} x^{3} - 3 \, {\left(c^{2} e^{4} x^{5} + e^{4} x^{3}\right)} \log\left(x\right)}{3 \, {\left(c^{2} e^{6} x^{4} + 2 \, c^{2} d e^{5} x^{3} + 2 \, d e^{5} x + d^{2} e^{4} + {\left(c^{2} d^{2} e^{4} + e^{6}\right)} x^{2}\right)} \sqrt{e x + d}}\,{d x}\right)} + \frac{2}{3} \, a {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}}}{e^{4}} - \frac{9 \, \sqrt{e x + d} d}{e^{4}} - \frac{9 \, d^{2}}{\sqrt{e x + d} e^{4}} + \frac{d^{3}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{4}}\right)}"," ",0,"1/3*b*(2*(e^3*x^3 - 6*d*e^2*x^2 - 24*d^2*e*x - 16*d^3)*log(sqrt(c^2*x^2 + 1) + 1)/((e^5*x + d*e^4)*sqrt(e*x + d)) + 3*integrate(2/3*(c^2*e^3*x^4 - 6*c^2*d*e^2*x^3 - 24*c^2*d^2*e*x^2 - 16*c^2*d^3*x)/((c^2*e^5*x^3 + c^2*d*e^4*x^2 + e^5*x + d*e^4)*sqrt(c^2*x^2 + 1)*sqrt(e*x + d) + (c^2*e^5*x^3 + c^2*d*e^4*x^2 + e^5*x + d*e^4)*sqrt(e*x + d)), x) - 3*integrate(-1/3*(10*c^2*d*e^3*x^4 + 80*c^2*d^3*e*x^2 - (3*e^4*log(c) + 2*e^4)*c^2*x^5 + 32*c^2*d^4*x + 3*(20*c^2*d^2*e^2 - e^4*log(c))*x^3 - 3*(c^2*e^4*x^5 + e^4*x^3)*log(x))/((c^2*e^6*x^4 + 2*c^2*d*e^5*x^3 + 2*d*e^5*x + d^2*e^4 + (c^2*d^2*e^4 + e^6)*x^2)*sqrt(e*x + d)), x)) + 2/3*a*((e*x + d)^(3/2)/e^4 - 9*sqrt(e*x + d)*d/e^4 - 9*d^2/(sqrt(e*x + d)*e^4) + d^3/((e*x + d)^(3/2)*e^4))","F",0
70,0,0,0,0.000000," ","integrate(x^2*(a+b*arccsch(c*x))/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{1}{3} \, b {\left(\frac{2 \, {\left(3 \, e^{2} x^{2} + 12 \, d e x + 8 \, d^{2}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{{\left(e^{4} x + d e^{3}\right)} \sqrt{e x + d}} + 3 \, \int \frac{2 \, {\left(3 \, c^{2} e^{2} x^{3} + 12 \, c^{2} d e x^{2} + 8 \, c^{2} d^{2} x\right)}}{3 \, {\left({\left(c^{2} e^{4} x^{3} + c^{2} d e^{3} x^{2} + e^{4} x + d e^{3}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x + d} + {\left(c^{2} e^{4} x^{3} + c^{2} d e^{3} x^{2} + e^{4} x + d e^{3}\right)} \sqrt{e x + d}\right)}}\,{d x} - 3 \, \int \frac{30 \, c^{2} d e^{2} x^{3} + 3 \, {\left(e^{3} \log\left(c\right) + 2 \, e^{3}\right)} c^{2} x^{4} + 16 \, c^{2} d^{3} x + {\left(40 \, c^{2} d^{2} e + 3 \, e^{3} \log\left(c\right)\right)} x^{2} + 3 \, {\left(c^{2} e^{3} x^{4} + e^{3} x^{2}\right)} \log\left(x\right)}{3 \, {\left(c^{2} e^{5} x^{4} + 2 \, c^{2} d e^{4} x^{3} + 2 \, d e^{4} x + d^{2} e^{3} + {\left(c^{2} d^{2} e^{3} + e^{5}\right)} x^{2}\right)} \sqrt{e x + d}}\,{d x}\right)} + \frac{2}{3} \, a {\left(\frac{3 \, \sqrt{e x + d}}{e^{3}} + \frac{6 \, d}{\sqrt{e x + d} e^{3}} - \frac{d^{2}}{{\left(e x + d\right)}^{\frac{3}{2}} e^{3}}\right)}"," ",0,"1/3*b*(2*(3*e^2*x^2 + 12*d*e*x + 8*d^2)*log(sqrt(c^2*x^2 + 1) + 1)/((e^4*x + d*e^3)*sqrt(e*x + d)) + 3*integrate(2/3*(3*c^2*e^2*x^3 + 12*c^2*d*e*x^2 + 8*c^2*d^2*x)/((c^2*e^4*x^3 + c^2*d*e^3*x^2 + e^4*x + d*e^3)*sqrt(c^2*x^2 + 1)*sqrt(e*x + d) + (c^2*e^4*x^3 + c^2*d*e^3*x^2 + e^4*x + d*e^3)*sqrt(e*x + d)), x) - 3*integrate(1/3*(30*c^2*d*e^2*x^3 + 3*(e^3*log(c) + 2*e^3)*c^2*x^4 + 16*c^2*d^3*x + (40*c^2*d^2*e + 3*e^3*log(c))*x^2 + 3*(c^2*e^3*x^4 + e^3*x^2)*log(x))/((c^2*e^5*x^4 + 2*c^2*d*e^4*x^3 + 2*d*e^4*x + d^2*e^3 + (c^2*d^2*e^3 + e^5)*x^2)*sqrt(e*x + d)), x)) + 2/3*a*(3*sqrt(e*x + d)/e^3 + 6*d/(sqrt(e*x + d)*e^3) - d^2/((e*x + d)^(3/2)*e^3))","F",0
71,0,0,0,0.000000," ","integrate(x*(a+b*arccsch(c*x))/(e*x+d)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, b {\left(\frac{2 \, {\left(3 \, e x + 2 \, d\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{{\left(e^{3} x + d e^{2}\right)} \sqrt{e x + d}} + 3 \, \int \frac{2 \, {\left(3 \, c^{2} e x^{2} + 2 \, c^{2} d x\right)}}{3 \, {\left({\left(c^{2} e^{3} x^{3} + c^{2} d e^{2} x^{2} + e^{3} x + d e^{2}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x + d} + {\left(c^{2} e^{3} x^{3} + c^{2} d e^{2} x^{2} + e^{3} x + d e^{2}\right)} \sqrt{e x + d}\right)}}\,{d x} + 3 \, \int -\frac{10 \, c^{2} d e x^{2} - 3 \, {\left(e^{2} \log\left(c\right) - 2 \, e^{2}\right)} c^{2} x^{3} + {\left(4 \, c^{2} d^{2} - 3 \, e^{2} \log\left(c\right)\right)} x - 3 \, {\left(c^{2} e^{2} x^{3} + e^{2} x\right)} \log\left(x\right)}{3 \, {\left(c^{2} e^{4} x^{4} + 2 \, c^{2} d e^{3} x^{3} + 2 \, d e^{3} x + d^{2} e^{2} + {\left(c^{2} d^{2} e^{2} + e^{4}\right)} x^{2}\right)} \sqrt{e x + d}}\,{d x}\right)} - \frac{2}{3} \, a {\left(\frac{3}{\sqrt{e x + d} e^{2}} - \frac{d}{{\left(e x + d\right)}^{\frac{3}{2}} e^{2}}\right)}"," ",0,"-1/3*b*(2*(3*e*x + 2*d)*log(sqrt(c^2*x^2 + 1) + 1)/((e^3*x + d*e^2)*sqrt(e*x + d)) + 3*integrate(2/3*(3*c^2*e*x^2 + 2*c^2*d*x)/((c^2*e^3*x^3 + c^2*d*e^2*x^2 + e^3*x + d*e^2)*sqrt(c^2*x^2 + 1)*sqrt(e*x + d) + (c^2*e^3*x^3 + c^2*d*e^2*x^2 + e^3*x + d*e^2)*sqrt(e*x + d)), x) + 3*integrate(-1/3*(10*c^2*d*e*x^2 - 3*(e^2*log(c) - 2*e^2)*c^2*x^3 + (4*c^2*d^2 - 3*e^2*log(c))*x - 3*(c^2*e^2*x^3 + e^2*x)*log(x))/((c^2*e^4*x^4 + 2*c^2*d*e^3*x^3 + 2*d*e^3*x + d^2*e^2 + (c^2*d^2*e^2 + e^4)*x^2)*sqrt(e*x + d)), x)) - 2/3*a*(3/(sqrt(e*x + d)*e^2) - d/((e*x + d)^(3/2)*e^2))","F",0
72,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/(e*x+d)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(6 \, c^{2} \int \frac{x}{3 \, {\left({\left(c^{2} e^{2} x^{3} + c^{2} d e x^{2} + e^{2} x + d e\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x + d} + {\left(c^{2} e^{2} x^{3} + c^{2} d e x^{2} + e^{2} x + d e\right)} \sqrt{e x + d}\right)}}\,{d x} + \frac{2 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{{\left(e^{2} x + d e\right)} \sqrt{e x + d}} + 3 \, \int \frac{{\left(3 \, e \log\left(c\right) - 2 \, e\right)} c^{2} x^{2} - 2 \, c^{2} d x + 3 \, e \log\left(c\right) + 3 \, {\left(c^{2} e x^{2} + e\right)} \log\left(x\right)}{3 \, {\left(c^{2} e^{3} x^{4} + 2 \, c^{2} d e^{2} x^{3} + 2 \, d e^{2} x + d^{2} e + {\left(c^{2} d^{2} e + e^{3}\right)} x^{2}\right)} \sqrt{e x + d}}\,{d x}\right)} b - \frac{2 \, a}{3 \, {\left(e x + d\right)}^{\frac{3}{2}} e}"," ",0,"-1/3*(6*c^2*integrate(1/3*x/((c^2*e^2*x^3 + c^2*d*e*x^2 + e^2*x + d*e)*sqrt(c^2*x^2 + 1)*sqrt(e*x + d) + (c^2*e^2*x^3 + c^2*d*e*x^2 + e^2*x + d*e)*sqrt(e*x + d)), x) + 2*log(sqrt(c^2*x^2 + 1) + 1)/((e^2*x + d*e)*sqrt(e*x + d)) + 3*integrate(1/3*((3*e*log(c) - 2*e)*c^2*x^2 - 2*c^2*d*x + 3*e*log(c) + 3*(c^2*e*x^2 + e)*log(x))/((c^2*e^3*x^4 + 2*c^2*d*e^2*x^3 + 2*d*e^2*x + d^2*e + (c^2*d^2*e + e^3)*x^2)*sqrt(e*x + d)), x))*b - 2/3*a/((e*x + d)^(3/2)*e)","F",0
73,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x/(e*x+d)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, b {\left(\frac{{\left(\frac{3 \, e \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{d^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, {\left(e x + d\right)} e + d e\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} d^{2}}\right)} \log\left(c\right)}{e} + 3 \, \int \frac{\log\left(x\right)}{\sqrt{e x + d} e^{2} x^{3} + 2 \, \sqrt{e x + d} d e x^{2} + \sqrt{e x + d} d^{2} x}\,{d x} - 3 \, \int \frac{\log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x + d} e^{2} x^{3} + 2 \, \sqrt{e x + d} d e x^{2} + \sqrt{e x + d} d^{2} x}\,{d x}\right)} + \frac{1}{3} \, a {\left(\frac{3 \, \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{d^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, e x + 4 \, d\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} d^{2}}\right)}"," ",0,"-1/3*b*((3*e*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/d^(5/2) + 2*(3*(e*x + d)*e + d*e)/((e*x + d)^(3/2)*d^2))*log(c)/e + 3*integrate(log(x)/(sqrt(e*x + d)*e^2*x^3 + 2*sqrt(e*x + d)*d*e*x^2 + sqrt(e*x + d)*d^2*x), x) - 3*integrate(log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x + d)*e^2*x^3 + 2*sqrt(e*x + d)*d*e*x^2 + sqrt(e*x + d)*d^2*x), x)) + 1/3*a*(3*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/d^(5/2) + 2*(3*e*x + 4*d)/((e*x + d)^(3/2)*d^2))","F",0
74,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x^2/(e*x+d)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, b {\left(\frac{{\left(\frac{2 \, {\left(15 \, {\left(e x + d\right)}^{2} e^{2} - 10 \, {\left(e x + d\right)} d e^{2} - 2 \, d^{2} e^{2}\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} d^{3} - {\left(e x + d\right)}^{\frac{3}{2}} d^{4}} + \frac{15 \, e^{2} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{d^{\frac{7}{2}}}\right)} \log\left(c\right)}{e} - 6 \, \int \frac{\log\left(x\right)}{\sqrt{e x + d} e^{2} x^{4} + 2 \, \sqrt{e x + d} d e x^{3} + \sqrt{e x + d} d^{2} x^{2}}\,{d x} + 6 \, \int \frac{\log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x + d} e^{2} x^{4} + 2 \, \sqrt{e x + d} d e x^{3} + \sqrt{e x + d} d^{2} x^{2}}\,{d x}\right)} - \frac{1}{6} \, a {\left(\frac{2 \, {\left(15 \, {\left(e x + d\right)}^{2} e - 10 \, {\left(e x + d\right)} d e - 2 \, d^{2} e\right)}}{{\left(e x + d\right)}^{\frac{5}{2}} d^{3} - {\left(e x + d\right)}^{\frac{3}{2}} d^{4}} + \frac{15 \, e \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{d^{\frac{7}{2}}}\right)}"," ",0,"1/6*b*((2*(15*(e*x + d)^2*e^2 - 10*(e*x + d)*d*e^2 - 2*d^2*e^2)/((e*x + d)^(5/2)*d^3 - (e*x + d)^(3/2)*d^4) + 15*e^2*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/d^(7/2))*log(c)/e - 6*integrate(log(x)/(sqrt(e*x + d)*e^2*x^4 + 2*sqrt(e*x + d)*d*e*x^3 + sqrt(e*x + d)*d^2*x^2), x) + 6*integrate(log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x + d)*e^2*x^4 + 2*sqrt(e*x + d)*d*e*x^3 + sqrt(e*x + d)*d^2*x^2), x)) - 1/6*a*(2*(15*(e*x + d)^2*e - 10*(e*x + d)*d*e - 2*d^2*e)/((e*x + d)^(5/2)*d^3 - (e*x + d)^(3/2)*d^4) + 15*e*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/d^(7/2))","F",0
75,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/(e*x+d)^(7/2),x, algorithm=""maxima"")","-\frac{1}{5} \, {\left(10 \, c^{2} \int \frac{x}{5 \, {\left({\left(c^{2} e^{3} x^{4} + 2 \, c^{2} d e^{2} x^{3} + 2 \, d e^{2} x + d^{2} e + {\left(c^{2} d^{2} e + e^{3}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x + d} + {\left(c^{2} e^{3} x^{4} + 2 \, c^{2} d e^{2} x^{3} + 2 \, d e^{2} x + d^{2} e + {\left(c^{2} d^{2} e + e^{3}\right)} x^{2}\right)} \sqrt{e x + d}\right)}}\,{d x} + \frac{2 \, \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{{\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)} \sqrt{e x + d}} + 5 \, \int \frac{{\left(5 \, e \log\left(c\right) - 2 \, e\right)} c^{2} x^{2} - 2 \, c^{2} d x + 5 \, e \log\left(c\right) + 5 \, {\left(c^{2} e x^{2} + e\right)} \log\left(x\right)}{5 \, {\left(c^{2} e^{4} x^{5} + 3 \, c^{2} d e^{3} x^{4} + 3 \, d^{2} e^{2} x + d^{3} e + {\left(3 \, c^{2} d^{2} e^{2} + e^{4}\right)} x^{3} + {\left(c^{2} d^{3} e + 3 \, d e^{3}\right)} x^{2}\right)} \sqrt{e x + d}}\,{d x}\right)} b - \frac{2 \, a}{5 \, {\left(e x + d\right)}^{\frac{5}{2}} e}"," ",0,"-1/5*(10*c^2*integrate(1/5*x/((c^2*e^3*x^4 + 2*c^2*d*e^2*x^3 + 2*d*e^2*x + d^2*e + (c^2*d^2*e + e^3)*x^2)*sqrt(c^2*x^2 + 1)*sqrt(e*x + d) + (c^2*e^3*x^4 + 2*c^2*d*e^2*x^3 + 2*d*e^2*x + d^2*e + (c^2*d^2*e + e^3)*x^2)*sqrt(e*x + d)), x) + 2*log(sqrt(c^2*x^2 + 1) + 1)/((e^3*x^2 + 2*d*e^2*x + d^2*e)*sqrt(e*x + d)) + 5*integrate(1/5*((5*e*log(c) - 2*e)*c^2*x^2 - 2*c^2*d*x + 5*e*log(c) + 5*(c^2*e*x^2 + e)*log(x))/((c^2*e^4*x^5 + 3*c^2*d*e^3*x^4 + 3*d^2*e^2*x + d^3*e + (3*c^2*d^2*e^2 + e^4)*x^3 + (c^2*d^3*e + 3*d*e^3)*x^2)*sqrt(e*x + d)), x))*b - 2/5*a/((e*x + d)^(5/2)*e)","F",0
76,1,289,0,0.372098," ","integrate(x^4*(e*x^2+d)*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{7} \, a e x^{7} + \frac{1}{5} \, a d x^{5} + \frac{1}{80} \, {\left(16 \, x^{5} \operatorname{arcsch}\left(c x\right) - \frac{\frac{2 \, {\left(3 \, {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 5 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}\right)}}{c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{2} - 2 \, c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} + c^{4}} - \frac{3 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{4}} + \frac{3 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{4}}}{c}\right)} b d + \frac{1}{672} \, {\left(96 \, x^{7} \operatorname{arcsch}\left(c x\right) + \frac{\frac{2 \, {\left(15 \, {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} - 40 \, {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} + 33 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}\right)}}{c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{3} - 3 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{2} + 3 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - c^{6}} - \frac{15 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{6}} + \frac{15 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{6}}}{c}\right)} b e"," ",0,"1/7*a*e*x^7 + 1/5*a*d*x^5 + 1/80*(16*x^5*arccsch(c*x) - (2*(3*(1/(c^2*x^2) + 1)^(3/2) - 5*sqrt(1/(c^2*x^2) + 1))/(c^4*(1/(c^2*x^2) + 1)^2 - 2*c^4*(1/(c^2*x^2) + 1) + c^4) - 3*log(sqrt(1/(c^2*x^2) + 1) + 1)/c^4 + 3*log(sqrt(1/(c^2*x^2) + 1) - 1)/c^4)/c)*b*d + 1/672*(96*x^7*arccsch(c*x) + (2*(15*(1/(c^2*x^2) + 1)^(5/2) - 40*(1/(c^2*x^2) + 1)^(3/2) + 33*sqrt(1/(c^2*x^2) + 1))/(c^6*(1/(c^2*x^2) + 1)^3 - 3*c^6*(1/(c^2*x^2) + 1)^2 + 3*c^6*(1/(c^2*x^2) + 1) - c^6) - 15*log(sqrt(1/(c^2*x^2) + 1) + 1)/c^6 + 15*log(sqrt(1/(c^2*x^2) + 1) - 1)/c^6)/c)*b*e","A",0
77,1,227,0,0.380478," ","integrate(x^2*(e*x^2+d)*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{5} \, a e x^{5} + \frac{1}{3} \, a d x^{3} + \frac{1}{12} \, {\left(4 \, x^{3} \operatorname{arcsch}\left(c x\right) + \frac{\frac{2 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - c^{2}} - \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{2}} + \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{2}}}{c}\right)} b d + \frac{1}{80} \, {\left(16 \, x^{5} \operatorname{arcsch}\left(c x\right) - \frac{\frac{2 \, {\left(3 \, {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 5 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}\right)}}{c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{2} - 2 \, c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} + c^{4}} - \frac{3 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{4}} + \frac{3 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{4}}}{c}\right)} b e"," ",0,"1/5*a*e*x^5 + 1/3*a*d*x^3 + 1/12*(4*x^3*arccsch(c*x) + (2*sqrt(1/(c^2*x^2) + 1)/(c^2*(1/(c^2*x^2) + 1) - c^2) - log(sqrt(1/(c^2*x^2) + 1) + 1)/c^2 + log(sqrt(1/(c^2*x^2) + 1) - 1)/c^2)/c)*b*d + 1/80*(16*x^5*arccsch(c*x) - (2*(3*(1/(c^2*x^2) + 1)^(3/2) - 5*sqrt(1/(c^2*x^2) + 1))/(c^4*(1/(c^2*x^2) + 1)^2 - 2*c^4*(1/(c^2*x^2) + 1) + c^4) - 3*log(sqrt(1/(c^2*x^2) + 1) + 1)/c^4 + 3*log(sqrt(1/(c^2*x^2) + 1) - 1)/c^4)/c)*b*e","A",0
78,1,148,0,0.348202," ","integrate((e*x^2+d)*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{3} \, a e x^{3} + \frac{1}{12} \, {\left(4 \, x^{3} \operatorname{arcsch}\left(c x\right) + \frac{\frac{2 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - c^{2}} - \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{2}} + \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{2}}}{c}\right)} b e + a d x + \frac{{\left(2 \, c x \operatorname{arcsch}\left(c x\right) + \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)\right)} b d}{2 \, c}"," ",0,"1/3*a*e*x^3 + 1/12*(4*x^3*arccsch(c*x) + (2*sqrt(1/(c^2*x^2) + 1)/(c^2*(1/(c^2*x^2) + 1) - c^2) - log(sqrt(1/(c^2*x^2) + 1) + 1)/c^2 + log(sqrt(1/(c^2*x^2) + 1) - 1)/c^2)/c)*b*e + a*d*x + 1/2*(2*c*x*arccsch(c*x) + log(sqrt(1/(c^2*x^2) + 1) + 1) - log(sqrt(1/(c^2*x^2) + 1) - 1))*b*d/c","A",0
79,1,84,0,0.369346," ","integrate((e*x^2+d)*(a+b*arccsch(c*x))/x^2,x, algorithm=""maxima"")","{\left(c \sqrt{\frac{1}{c^{2} x^{2}} + 1} - \frac{\operatorname{arcsch}\left(c x\right)}{x}\right)} b d + a e x + \frac{{\left(2 \, c x \operatorname{arcsch}\left(c x\right) + \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)\right)} b e}{2 \, c} - \frac{a d}{x}"," ",0,"(c*sqrt(1/(c^2*x^2) + 1) - arccsch(c*x)/x)*b*d + a*e*x + 1/2*(2*c*x*arccsch(c*x) + log(sqrt(1/(c^2*x^2) + 1) + 1) - log(sqrt(1/(c^2*x^2) + 1) - 1))*b*e/c - a*d/x","A",0
80,1,91,0,0.349850," ","integrate((e*x^2+d)*(a+b*arccsch(c*x))/x^4,x, algorithm=""maxima"")","{\left(c \sqrt{\frac{1}{c^{2} x^{2}} + 1} - \frac{\operatorname{arcsch}\left(c x\right)}{x}\right)} b e + \frac{1}{9} \, b d {\left(\frac{c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, c^{4} \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c} - \frac{3 \, \operatorname{arcsch}\left(c x\right)}{x^{3}}\right)} - \frac{a e}{x} - \frac{a d}{3 \, x^{3}}"," ",0,"(c*sqrt(1/(c^2*x^2) + 1) - arccsch(c*x)/x)*b*e + 1/9*b*d*((c^4*(1/(c^2*x^2) + 1)^(3/2) - 3*c^4*sqrt(1/(c^2*x^2) + 1))/c - 3*arccsch(c*x)/x^3) - a*e/x - 1/3*a*d/x^3","A",0
81,1,132,0,0.315273," ","integrate((e*x^2+d)*(a+b*arccsch(c*x))/x^6,x, algorithm=""maxima"")","\frac{1}{75} \, b d {\left(\frac{3 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} - 10 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} + 15 \, c^{6} \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c} - \frac{15 \, \operatorname{arcsch}\left(c x\right)}{x^{5}}\right)} + \frac{1}{9} \, b e {\left(\frac{c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, c^{4} \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c} - \frac{3 \, \operatorname{arcsch}\left(c x\right)}{x^{3}}\right)} - \frac{a e}{3 \, x^{3}} - \frac{a d}{5 \, x^{5}}"," ",0,"1/75*b*d*((3*c^6*(1/(c^2*x^2) + 1)^(5/2) - 10*c^6*(1/(c^2*x^2) + 1)^(3/2) + 15*c^6*sqrt(1/(c^2*x^2) + 1))/c - 15*arccsch(c*x)/x^5) + 1/9*b*e*((c^4*(1/(c^2*x^2) + 1)^(3/2) - 3*c^4*sqrt(1/(c^2*x^2) + 1))/c - 3*arccsch(c*x)/x^3) - 1/3*a*e/x^3 - 1/5*a*d/x^5","A",0
82,1,165,0,0.325847," ","integrate((e*x^2+d)*(a+b*arccsch(c*x))/x^8,x, algorithm=""maxima"")","\frac{1}{245} \, b d {\left(\frac{5 \, c^{8} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{7}{2}} - 21 \, c^{8} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} + 35 \, c^{8} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 35 \, c^{8} \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c} - \frac{35 \, \operatorname{arcsch}\left(c x\right)}{x^{7}}\right)} + \frac{1}{75} \, b e {\left(\frac{3 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} - 10 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} + 15 \, c^{6} \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c} - \frac{15 \, \operatorname{arcsch}\left(c x\right)}{x^{5}}\right)} - \frac{a e}{5 \, x^{5}} - \frac{a d}{7 \, x^{7}}"," ",0,"1/245*b*d*((5*c^8*(1/(c^2*x^2) + 1)^(7/2) - 21*c^8*(1/(c^2*x^2) + 1)^(5/2) + 35*c^8*(1/(c^2*x^2) + 1)^(3/2) - 35*c^8*sqrt(1/(c^2*x^2) + 1))/c - 35*arccsch(c*x)/x^7) + 1/75*b*e*((3*c^6*(1/(c^2*x^2) + 1)^(5/2) - 10*c^6*(1/(c^2*x^2) + 1)^(3/2) + 15*c^6*sqrt(1/(c^2*x^2) + 1))/c - 15*arccsch(c*x)/x^5) - 1/5*a*e/x^5 - 1/7*a*d/x^7","A",0
83,1,176,0,0.335977," ","integrate(x^5*(e*x^2+d)*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{8} \, a e x^{8} + \frac{1}{6} \, a d x^{6} + \frac{1}{90} \, {\left(15 \, x^{6} \operatorname{arcsch}\left(c x\right) + \frac{3 \, c^{4} x^{5} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} - 10 \, c^{2} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} + 15 \, x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{5}}\right)} b d + \frac{1}{280} \, {\left(35 \, x^{8} \operatorname{arcsch}\left(c x\right) + \frac{5 \, c^{6} x^{7} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{7}{2}} - 21 \, c^{4} x^{5} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} + 35 \, c^{2} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 35 \, x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{7}}\right)} b e"," ",0,"1/8*a*e*x^8 + 1/6*a*d*x^6 + 1/90*(15*x^6*arccsch(c*x) + (3*c^4*x^5*(1/(c^2*x^2) + 1)^(5/2) - 10*c^2*x^3*(1/(c^2*x^2) + 1)^(3/2) + 15*x*sqrt(1/(c^2*x^2) + 1))/c^5)*b*d + 1/280*(35*x^8*arccsch(c*x) + (5*c^6*x^7*(1/(c^2*x^2) + 1)^(7/2) - 21*c^4*x^5*(1/(c^2*x^2) + 1)^(5/2) + 35*c^2*x^3*(1/(c^2*x^2) + 1)^(3/2) - 35*x*sqrt(1/(c^2*x^2) + 1))/c^7)*b*e","A",0
84,1,137,0,0.314639," ","integrate(x^3*(e*x^2+d)*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{6} \, a e x^{6} + \frac{1}{4} \, a d x^{4} + \frac{1}{12} \, {\left(3 \, x^{4} \operatorname{arcsch}\left(c x\right) + \frac{c^{2} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{3}}\right)} b d + \frac{1}{90} \, {\left(15 \, x^{6} \operatorname{arcsch}\left(c x\right) + \frac{3 \, c^{4} x^{5} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} - 10 \, c^{2} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} + 15 \, x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{5}}\right)} b e"," ",0,"1/6*a*e*x^6 + 1/4*a*d*x^4 + 1/12*(3*x^4*arccsch(c*x) + (c^2*x^3*(1/(c^2*x^2) + 1)^(3/2) - 3*x*sqrt(1/(c^2*x^2) + 1))/c^3)*b*d + 1/90*(15*x^6*arccsch(c*x) + (3*c^4*x^5*(1/(c^2*x^2) + 1)^(5/2) - 10*c^2*x^3*(1/(c^2*x^2) + 1)^(3/2) + 15*x*sqrt(1/(c^2*x^2) + 1))/c^5)*b*e","A",0
85,1,95,0,0.343469," ","integrate(x*(e*x^2+d)*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{4} \, a e x^{4} + \frac{1}{2} \, a d x^{2} + \frac{1}{2} \, {\left(x^{2} \operatorname{arcsch}\left(c x\right) + \frac{x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c}\right)} b d + \frac{1}{12} \, {\left(3 \, x^{4} \operatorname{arcsch}\left(c x\right) + \frac{c^{2} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{3}}\right)} b e"," ",0,"1/4*a*e*x^4 + 1/2*a*d*x^2 + 1/2*(x^2*arccsch(c*x) + x*sqrt(1/(c^2*x^2) + 1)/c)*b*d + 1/12*(3*x^4*arccsch(c*x) + (c^2*x^3*(1/(c^2*x^2) + 1)^(3/2) - 3*x*sqrt(1/(c^2*x^2) + 1))/c^3)*b*e","A",0
86,0,0,0,0.000000," ","integrate((e*x^2+d)*(a+b*arccsch(c*x))/x,x, algorithm=""maxima"")","2 \, b c^{2} d \int \frac{x \log\left(x\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - \frac{1}{2} \, b e x^{2} \log\left(c\right) - \frac{1}{2} \, b e x^{2} \log\left(x\right) + \frac{1}{2} \, a e x^{2} - b d \log\left(c\right) \log\left(x\right) - \frac{1}{2} \, b d \log\left(x\right)^{2} - \frac{1}{4} \, {\left(2 \, \log\left(c^{2} x^{2} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-c^{2} x^{2}\right)\right)} b d + a d \log\left(x\right) + \frac{1}{2} \, {\left(b e x^{2} + 2 \, b d \log\left(x\right)\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + \frac{b e {\left(2 \, \sqrt{c^{2} x^{2} + 1} - \log\left(c^{2} x^{2} + 1\right)\right)}}{4 \, c^{2}} + \frac{b e \log\left(c^{2} x^{2} + 1\right)}{4 \, c^{2}}"," ",0,"2*b*c^2*d*integrate(1/2*x*log(x)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 1/2*b*e*x^2*log(c) - 1/2*b*e*x^2*log(x) + 1/2*a*e*x^2 - b*d*log(c)*log(x) - 1/2*b*d*log(x)^2 - 1/4*(2*log(c^2*x^2 + 1)*log(x) + dilog(-c^2*x^2))*b*d + a*d*log(x) + 1/2*(b*e*x^2 + 2*b*d*log(x))*log(sqrt(c^2*x^2 + 1) + 1) + 1/4*b*e*(2*sqrt(c^2*x^2 + 1) - log(c^2*x^2 + 1))/c^2 + 1/4*b*e*log(c^2*x^2 + 1)/c^2","F",0
87,0,0,0,0.000000," ","integrate((e*x^2+d)*(a+b*arccsch(c*x))/x^3,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(4 \, c^{2} \int \frac{x^{2} \log\left(x\right)}{c^{2} x^{3} + x}\,{d x} - 2 \, c^{2} \int \frac{x \log\left(x\right)}{c^{2} x^{2} + {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} + 1}\,{d x} - {\left(\log\left(c^{2} x^{2} + 1\right) - 2 \, \log\left(x\right)\right)} \log\left(c\right) + \log\left(c^{2} x^{2} + 1\right) \log\left(c\right) - 2 \, \log\left(x\right) \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) + 2 \, \int \frac{\log\left(x\right)}{c^{2} x^{3} + x}\,{d x}\right)} b e + \frac{1}{8} \, b d {\left(\frac{\frac{2 \, c^{4} x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{2} x^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - 1} - c^{3} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) + c^{3} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c} - \frac{4 \, \operatorname{arcsch}\left(c x\right)}{x^{2}}\right)} + a e \log\left(x\right) - \frac{a d}{2 \, x^{2}}"," ",0,"-1/2*(4*c^2*integrate(x^2*log(x)/(c^2*x^3 + x), x) - 2*c^2*integrate(x*log(x)/(c^2*x^2 + (c^2*x^2 + 1)^(3/2) + 1), x) - (log(c^2*x^2 + 1) - 2*log(x))*log(c) + log(c^2*x^2 + 1)*log(c) - 2*log(x)*log(sqrt(c^2*x^2 + 1) + 1) + 2*integrate(log(x)/(c^2*x^3 + x), x))*b*e + 1/8*b*d*((2*c^4*x*sqrt(1/(c^2*x^2) + 1)/(c^2*x^2*(1/(c^2*x^2) + 1) - 1) - c^3*log(c*x*sqrt(1/(c^2*x^2) + 1) + 1) + c^3*log(c*x*sqrt(1/(c^2*x^2) + 1) - 1))/c - 4*arccsch(c*x)/x^2) + a*e*log(x) - 1/2*a*d/x^2","F",0
88,1,396,0,0.333852," ","integrate(x^2*(e*x^2+d)^2*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{7} \, a e^{2} x^{7} + \frac{2}{5} \, a d e x^{5} + \frac{1}{3} \, a d^{2} x^{3} + \frac{1}{12} \, {\left(4 \, x^{3} \operatorname{arcsch}\left(c x\right) + \frac{\frac{2 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - c^{2}} - \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{2}} + \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{2}}}{c}\right)} b d^{2} + \frac{1}{40} \, {\left(16 \, x^{5} \operatorname{arcsch}\left(c x\right) - \frac{\frac{2 \, {\left(3 \, {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 5 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}\right)}}{c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{2} - 2 \, c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} + c^{4}} - \frac{3 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{4}} + \frac{3 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{4}}}{c}\right)} b d e + \frac{1}{672} \, {\left(96 \, x^{7} \operatorname{arcsch}\left(c x\right) + \frac{\frac{2 \, {\left(15 \, {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} - 40 \, {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} + 33 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}\right)}}{c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{3} - 3 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{2} + 3 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - c^{6}} - \frac{15 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{6}} + \frac{15 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{6}}}{c}\right)} b e^{2}"," ",0,"1/7*a*e^2*x^7 + 2/5*a*d*e*x^5 + 1/3*a*d^2*x^3 + 1/12*(4*x^3*arccsch(c*x) + (2*sqrt(1/(c^2*x^2) + 1)/(c^2*(1/(c^2*x^2) + 1) - c^2) - log(sqrt(1/(c^2*x^2) + 1) + 1)/c^2 + log(sqrt(1/(c^2*x^2) + 1) - 1)/c^2)/c)*b*d^2 + 1/40*(16*x^5*arccsch(c*x) - (2*(3*(1/(c^2*x^2) + 1)^(3/2) - 5*sqrt(1/(c^2*x^2) + 1))/(c^4*(1/(c^2*x^2) + 1)^2 - 2*c^4*(1/(c^2*x^2) + 1) + c^4) - 3*log(sqrt(1/(c^2*x^2) + 1) + 1)/c^4 + 3*log(sqrt(1/(c^2*x^2) + 1) - 1)/c^4)/c)*b*d*e + 1/672*(96*x^7*arccsch(c*x) + (2*(15*(1/(c^2*x^2) + 1)^(5/2) - 40*(1/(c^2*x^2) + 1)^(3/2) + 33*sqrt(1/(c^2*x^2) + 1))/(c^6*(1/(c^2*x^2) + 1)^3 - 3*c^6*(1/(c^2*x^2) + 1)^2 + 3*c^6*(1/(c^2*x^2) + 1) - c^6) - 15*log(sqrt(1/(c^2*x^2) + 1) + 1)/c^6 + 15*log(sqrt(1/(c^2*x^2) + 1) - 1)/c^6)/c)*b*e^2","A",0
89,1,287,0,0.356158," ","integrate((e*x^2+d)^2*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{5} \, a e^{2} x^{5} + \frac{2}{3} \, a d e x^{3} + \frac{1}{6} \, {\left(4 \, x^{3} \operatorname{arcsch}\left(c x\right) + \frac{\frac{2 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - c^{2}} - \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{2}} + \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{2}}}{c}\right)} b d e + \frac{1}{80} \, {\left(16 \, x^{5} \operatorname{arcsch}\left(c x\right) - \frac{\frac{2 \, {\left(3 \, {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 5 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}\right)}}{c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{2} - 2 \, c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} + c^{4}} - \frac{3 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{4}} + \frac{3 \, \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{4}}}{c}\right)} b e^{2} + a d^{2} x + \frac{{\left(2 \, c x \operatorname{arcsch}\left(c x\right) + \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)\right)} b d^{2}}{2 \, c}"," ",0,"1/5*a*e^2*x^5 + 2/3*a*d*e*x^3 + 1/6*(4*x^3*arccsch(c*x) + (2*sqrt(1/(c^2*x^2) + 1)/(c^2*(1/(c^2*x^2) + 1) - c^2) - log(sqrt(1/(c^2*x^2) + 1) + 1)/c^2 + log(sqrt(1/(c^2*x^2) + 1) - 1)/c^2)/c)*b*d*e + 1/80*(16*x^5*arccsch(c*x) - (2*(3*(1/(c^2*x^2) + 1)^(3/2) - 5*sqrt(1/(c^2*x^2) + 1))/(c^4*(1/(c^2*x^2) + 1)^2 - 2*c^4*(1/(c^2*x^2) + 1) + c^4) - 3*log(sqrt(1/(c^2*x^2) + 1) + 1)/c^4 + 3*log(sqrt(1/(c^2*x^2) + 1) - 1)/c^4)/c)*b*e^2 + a*d^2*x + 1/2*(2*c*x*arccsch(c*x) + log(sqrt(1/(c^2*x^2) + 1) + 1) - log(sqrt(1/(c^2*x^2) + 1) - 1))*b*d^2/c","A",0
90,1,191,0,0.408263," ","integrate((e*x^2+d)^2*(a+b*arccsch(c*x))/x^2,x, algorithm=""maxima"")","\frac{1}{3} \, a e^{2} x^{3} + {\left(c \sqrt{\frac{1}{c^{2} x^{2}} + 1} - \frac{\operatorname{arcsch}\left(c x\right)}{x}\right)} b d^{2} + \frac{1}{12} \, {\left(4 \, x^{3} \operatorname{arcsch}\left(c x\right) + \frac{\frac{2 \, \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - c^{2}} - \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right)}{c^{2}} + \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c^{2}}}{c}\right)} b e^{2} + 2 \, a d e x + \frac{{\left(2 \, c x \operatorname{arcsch}\left(c x\right) + \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)\right)} b d e}{c} - \frac{a d^{2}}{x}"," ",0,"1/3*a*e^2*x^3 + (c*sqrt(1/(c^2*x^2) + 1) - arccsch(c*x)/x)*b*d^2 + 1/12*(4*x^3*arccsch(c*x) + (2*sqrt(1/(c^2*x^2) + 1)/(c^2*(1/(c^2*x^2) + 1) - c^2) - log(sqrt(1/(c^2*x^2) + 1) + 1)/c^2 + log(sqrt(1/(c^2*x^2) + 1) - 1)/c^2)/c)*b*e^2 + 2*a*d*e*x + (2*c*x*arccsch(c*x) + log(sqrt(1/(c^2*x^2) + 1) + 1) - log(sqrt(1/(c^2*x^2) + 1) - 1))*b*d*e/c - a*d^2/x","A",0
91,1,152,0,0.327370," ","integrate((e*x^2+d)^2*(a+b*arccsch(c*x))/x^4,x, algorithm=""maxima"")","2 \, {\left(c \sqrt{\frac{1}{c^{2} x^{2}} + 1} - \frac{\operatorname{arcsch}\left(c x\right)}{x}\right)} b d e + a e^{2} x + \frac{1}{9} \, b d^{2} {\left(\frac{c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, c^{4} \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c} - \frac{3 \, \operatorname{arcsch}\left(c x\right)}{x^{3}}\right)} + \frac{{\left(2 \, c x \operatorname{arcsch}\left(c x\right) + \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) - \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)\right)} b e^{2}}{2 \, c} - \frac{2 \, a d e}{x} - \frac{a d^{2}}{3 \, x^{3}}"," ",0,"2*(c*sqrt(1/(c^2*x^2) + 1) - arccsch(c*x)/x)*b*d*e + a*e^2*x + 1/9*b*d^2*((c^4*(1/(c^2*x^2) + 1)^(3/2) - 3*c^4*sqrt(1/(c^2*x^2) + 1))/c - 3*arccsch(c*x)/x^3) + 1/2*(2*c*x*arccsch(c*x) + log(sqrt(1/(c^2*x^2) + 1) + 1) - log(sqrt(1/(c^2*x^2) + 1) - 1))*b*e^2/c - 2*a*d*e/x - 1/3*a*d^2/x^3","A",0
92,1,175,0,0.358906," ","integrate((e*x^2+d)^2*(a+b*arccsch(c*x))/x^6,x, algorithm=""maxima"")","{\left(c \sqrt{\frac{1}{c^{2} x^{2}} + 1} - \frac{\operatorname{arcsch}\left(c x\right)}{x}\right)} b e^{2} + \frac{1}{75} \, b d^{2} {\left(\frac{3 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} - 10 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} + 15 \, c^{6} \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c} - \frac{15 \, \operatorname{arcsch}\left(c x\right)}{x^{5}}\right)} + \frac{2}{9} \, b d e {\left(\frac{c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, c^{4} \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c} - \frac{3 \, \operatorname{arcsch}\left(c x\right)}{x^{3}}\right)} - \frac{a e^{2}}{x} - \frac{2 \, a d e}{3 \, x^{3}} - \frac{a d^{2}}{5 \, x^{5}}"," ",0,"(c*sqrt(1/(c^2*x^2) + 1) - arccsch(c*x)/x)*b*e^2 + 1/75*b*d^2*((3*c^6*(1/(c^2*x^2) + 1)^(5/2) - 10*c^6*(1/(c^2*x^2) + 1)^(3/2) + 15*c^6*sqrt(1/(c^2*x^2) + 1))/c - 15*arccsch(c*x)/x^5) + 2/9*b*d*e*((c^4*(1/(c^2*x^2) + 1)^(3/2) - 3*c^4*sqrt(1/(c^2*x^2) + 1))/c - 3*arccsch(c*x)/x^3) - a*e^2/x - 2/3*a*d*e/x^3 - 1/5*a*d^2/x^5","A",0
93,1,232,0,0.449637," ","integrate((e*x^2+d)^2*(a+b*arccsch(c*x))/x^8,x, algorithm=""maxima"")","\frac{1}{245} \, b d^{2} {\left(\frac{5 \, c^{8} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{7}{2}} - 21 \, c^{8} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} + 35 \, c^{8} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 35 \, c^{8} \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c} - \frac{35 \, \operatorname{arcsch}\left(c x\right)}{x^{7}}\right)} + \frac{2}{75} \, b d e {\left(\frac{3 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} - 10 \, c^{6} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} + 15 \, c^{6} \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c} - \frac{15 \, \operatorname{arcsch}\left(c x\right)}{x^{5}}\right)} + \frac{1}{9} \, b e^{2} {\left(\frac{c^{4} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, c^{4} \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c} - \frac{3 \, \operatorname{arcsch}\left(c x\right)}{x^{3}}\right)} - \frac{a e^{2}}{3 \, x^{3}} - \frac{2 \, a d e}{5 \, x^{5}} - \frac{a d^{2}}{7 \, x^{7}}"," ",0,"1/245*b*d^2*((5*c^8*(1/(c^2*x^2) + 1)^(7/2) - 21*c^8*(1/(c^2*x^2) + 1)^(5/2) + 35*c^8*(1/(c^2*x^2) + 1)^(3/2) - 35*c^8*sqrt(1/(c^2*x^2) + 1))/c - 35*arccsch(c*x)/x^7) + 2/75*b*d*e*((3*c^6*(1/(c^2*x^2) + 1)^(5/2) - 10*c^6*(1/(c^2*x^2) + 1)^(3/2) + 15*c^6*sqrt(1/(c^2*x^2) + 1))/c - 15*arccsch(c*x)/x^5) + 1/9*b*e^2*((c^4*(1/(c^2*x^2) + 1)^(3/2) - 3*c^4*sqrt(1/(c^2*x^2) + 1))/c - 3*arccsch(c*x)/x^3) - 1/3*a*e^2/x^3 - 2/5*a*d*e/x^5 - 1/7*a*d^2/x^7","A",0
94,1,244,0,0.374684," ","integrate(x^3*(e*x^2+d)^2*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{8} \, a e^{2} x^{8} + \frac{1}{3} \, a d e x^{6} + \frac{1}{4} \, a d^{2} x^{4} + \frac{1}{12} \, {\left(3 \, x^{4} \operatorname{arcsch}\left(c x\right) + \frac{c^{2} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{3}}\right)} b d^{2} + \frac{1}{45} \, {\left(15 \, x^{6} \operatorname{arcsch}\left(c x\right) + \frac{3 \, c^{4} x^{5} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} - 10 \, c^{2} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} + 15 \, x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{5}}\right)} b d e + \frac{1}{280} \, {\left(35 \, x^{8} \operatorname{arcsch}\left(c x\right) + \frac{5 \, c^{6} x^{7} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{7}{2}} - 21 \, c^{4} x^{5} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} + 35 \, c^{2} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 35 \, x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{7}}\right)} b e^{2}"," ",0,"1/8*a*e^2*x^8 + 1/3*a*d*e*x^6 + 1/4*a*d^2*x^4 + 1/12*(3*x^4*arccsch(c*x) + (c^2*x^3*(1/(c^2*x^2) + 1)^(3/2) - 3*x*sqrt(1/(c^2*x^2) + 1))/c^3)*b*d^2 + 1/45*(15*x^6*arccsch(c*x) + (3*c^4*x^5*(1/(c^2*x^2) + 1)^(5/2) - 10*c^2*x^3*(1/(c^2*x^2) + 1)^(3/2) + 15*x*sqrt(1/(c^2*x^2) + 1))/c^5)*b*d*e + 1/280*(35*x^8*arccsch(c*x) + (5*c^6*x^7*(1/(c^2*x^2) + 1)^(7/2) - 21*c^4*x^5*(1/(c^2*x^2) + 1)^(5/2) + 35*c^2*x^3*(1/(c^2*x^2) + 1)^(3/2) - 35*x*sqrt(1/(c^2*x^2) + 1))/c^7)*b*e^2","A",0
95,1,183,0,0.368319," ","integrate(x*(e*x^2+d)^2*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{6} \, a e^{2} x^{6} + \frac{1}{2} \, a d e x^{4} + \frac{1}{2} \, a d^{2} x^{2} + \frac{1}{2} \, {\left(x^{2} \operatorname{arcsch}\left(c x\right) + \frac{x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c}\right)} b d^{2} + \frac{1}{6} \, {\left(3 \, x^{4} \operatorname{arcsch}\left(c x\right) + \frac{c^{2} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} - 3 \, x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{3}}\right)} b d e + \frac{1}{90} \, {\left(15 \, x^{6} \operatorname{arcsch}\left(c x\right) + \frac{3 \, c^{4} x^{5} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{5}{2}} - 10 \, c^{2} x^{3} {\left(\frac{1}{c^{2} x^{2}} + 1\right)}^{\frac{3}{2}} + 15 \, x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{5}}\right)} b e^{2}"," ",0,"1/6*a*e^2*x^6 + 1/2*a*d*e*x^4 + 1/2*a*d^2*x^2 + 1/2*(x^2*arccsch(c*x) + x*sqrt(1/(c^2*x^2) + 1)/c)*b*d^2 + 1/6*(3*x^4*arccsch(c*x) + (c^2*x^3*(1/(c^2*x^2) + 1)^(3/2) - 3*x*sqrt(1/(c^2*x^2) + 1))/c^3)*b*d*e + 1/90*(15*x^6*arccsch(c*x) + (3*c^4*x^5*(1/(c^2*x^2) + 1)^(5/2) - 10*c^2*x^3*(1/(c^2*x^2) + 1)^(3/2) + 15*x*sqrt(1/(c^2*x^2) + 1))/c^5)*b*e^2","A",0
96,0,0,0,0.000000," ","integrate((e*x^2+d)^2*(a+b*arccsch(c*x))/x,x, algorithm=""maxima"")","\frac{1}{4} \, a e^{2} x^{4} + 4 \, b c^{2} d^{2} \int \frac{x \log\left(x\right)}{4 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} + a d e x^{2} - b d^{2} \log\left(c\right) \log\left(x\right) - \frac{1}{4} \, {\left(2 \, \log\left(c^{2} x^{2} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-c^{2} x^{2}\right)\right)} b d^{2} + a d^{2} \log\left(x\right) + \frac{b d e {\left(2 \, \sqrt{c^{2} x^{2} + 1} - \log\left(c^{2} x^{2} + 1\right)\right)}}{2 \, c^{2}} - \frac{{\left(3 \, c^{2} x^{2} - 2 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} + 6 \, \sqrt{c^{2} x^{2} + 1} - 3 \, \log\left(c^{2} x^{2} + 1\right) + 3\right)} b e^{2}}{24 \, c^{4}} - \frac{2 \, b c^{2} e^{2} x^{4} \log\left(c\right) + 4 \, b c^{2} d^{2} \log\left(x\right)^{2} + {\left(8 \, c^{2} d e \log\left(c\right) - e^{2}\right)} b x^{2} + 2 \, {\left(b c^{2} e^{2} x^{4} + 4 \, b c^{2} d e x^{2}\right)} \log\left(x\right) - 2 \, {\left(b c^{2} e^{2} x^{4} + 4 \, b c^{2} d e x^{2} + 4 \, b c^{2} d^{2} \log\left(x\right)\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{8 \, c^{2}} + \frac{{\left(4 \, c^{2} d e - e^{2}\right)} b \log\left(c^{2} x^{2} + 1\right)}{8 \, c^{4}}"," ",0,"1/4*a*e^2*x^4 + 4*b*c^2*d^2*integrate(1/4*x*log(x)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) + a*d*e*x^2 - b*d^2*log(c)*log(x) - 1/4*(2*log(c^2*x^2 + 1)*log(x) + dilog(-c^2*x^2))*b*d^2 + a*d^2*log(x) + 1/2*b*d*e*(2*sqrt(c^2*x^2 + 1) - log(c^2*x^2 + 1))/c^2 - 1/24*(3*c^2*x^2 - 2*(c^2*x^2 + 1)^(3/2) + 6*sqrt(c^2*x^2 + 1) - 3*log(c^2*x^2 + 1) + 3)*b*e^2/c^4 - 1/8*(2*b*c^2*e^2*x^4*log(c) + 4*b*c^2*d^2*log(x)^2 + (8*c^2*d*e*log(c) - e^2)*b*x^2 + 2*(b*c^2*e^2*x^4 + 4*b*c^2*d*e*x^2)*log(x) - 2*(b*c^2*e^2*x^4 + 4*b*c^2*d*e*x^2 + 4*b*c^2*d^2*log(x))*log(sqrt(c^2*x^2 + 1) + 1))/c^2 + 1/8*(4*c^2*d*e - e^2)*b*log(c^2*x^2 + 1)/c^4","F",0
97,0,0,0,0.000000," ","integrate((e*x^2+d)^2*(a+b*arccsch(c*x))/x^3,x, algorithm=""maxima"")","4 \, b c^{2} d e \int \frac{x \log\left(x\right)}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} c^{2} x^{2} + c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} + 1\right)}}\,{d x} - \frac{1}{2} \, b e^{2} x^{2} \log\left(c\right) - \frac{1}{2} \, b e^{2} x^{2} \log\left(x\right) + \frac{1}{2} \, a e^{2} x^{2} - 2 \, b d e \log\left(c\right) \log\left(x\right) - b d e \log\left(x\right)^{2} - \frac{1}{2} \, {\left(2 \, \log\left(c^{2} x^{2} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-c^{2} x^{2}\right)\right)} b d e + \frac{1}{8} \, b d^{2} {\left(\frac{\frac{2 \, c^{4} x \sqrt{\frac{1}{c^{2} x^{2}} + 1}}{c^{2} x^{2} {\left(\frac{1}{c^{2} x^{2}} + 1\right)} - 1} - c^{3} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} + 1\right) + c^{3} \log\left(c x \sqrt{\frac{1}{c^{2} x^{2}} + 1} - 1\right)}{c} - \frac{4 \, \operatorname{arcsch}\left(c x\right)}{x^{2}}\right)} + 2 \, a d e \log\left(x\right) + \frac{b e^{2} {\left(2 \, \sqrt{c^{2} x^{2} + 1} - \log\left(c^{2} x^{2} + 1\right)\right)}}{4 \, c^{2}} + \frac{b e^{2} \log\left(c^{2} x^{2} + 1\right)}{4 \, c^{2}} + \frac{1}{2} \, {\left(b e^{2} x^{2} + 4 \, b d e \log\left(x\right)\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) - \frac{a d^{2}}{2 \, x^{2}}"," ",0,"4*b*c^2*d*e*integrate(1/2*x*log(x)/(sqrt(c^2*x^2 + 1)*c^2*x^2 + c^2*x^2 + sqrt(c^2*x^2 + 1) + 1), x) - 1/2*b*e^2*x^2*log(c) - 1/2*b*e^2*x^2*log(x) + 1/2*a*e^2*x^2 - 2*b*d*e*log(c)*log(x) - b*d*e*log(x)^2 - 1/2*(2*log(c^2*x^2 + 1)*log(x) + dilog(-c^2*x^2))*b*d*e + 1/8*b*d^2*((2*c^4*x*sqrt(1/(c^2*x^2) + 1)/(c^2*x^2*(1/(c^2*x^2) + 1) - 1) - c^3*log(c*x*sqrt(1/(c^2*x^2) + 1) + 1) + c^3*log(c*x*sqrt(1/(c^2*x^2) + 1) - 1))/c - 4*arccsch(c*x)/x^2) + 2*a*d*e*log(x) + 1/4*b*e^2*(2*sqrt(c^2*x^2 + 1) - log(c^2*x^2 + 1))/c^2 + 1/4*b*e^2*log(c^2*x^2 + 1)/c^2 + 1/2*(b*e^2*x^2 + 4*b*d*e*log(x))*log(sqrt(c^2*x^2 + 1) + 1) - 1/2*a*d^2/x^2","F",0
98,0,0,0,0.000000," ","integrate(x^2*(a+b*arccsch(c*x))/(e*x^2+d),x, algorithm=""maxima"")","-a {\left(\frac{d \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} e} - \frac{x}{e}\right)} + b \int \frac{x^{2} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e x^{2} + d}\,{d x}"," ",0,"-a*(d*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e) - x/e) + b*integrate(x^2*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e*x^2 + d), x)","F",0
99,0,0,0,0.000000," ","integrate(x*(a+b*arccsch(c*x))/(e*x^2+d),x, algorithm=""maxima"")","b \int \frac{x \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e x^{2} + d}\,{d x} + \frac{a \log\left(e x^{2} + d\right)}{2 \, e}"," ",0,"b*integrate(x*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e*x^2 + d), x) + 1/2*a*log(e*x^2 + d)/e","F",0
100,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/(e*x^2+d),x, algorithm=""maxima"")","b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e x^{2} + d}\,{d x} + \frac{a \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e}}"," ",0,"b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e*x^2 + d), x) + a*arctan(e*x/sqrt(d*e))/sqrt(d*e)","F",0
101,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x/(e*x^2+d),x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{\log\left(e x^{2} + d\right)}{d} - \frac{2 \, \log\left(x\right)}{d}\right)} + b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e x^{3} + d x}\,{d x}"," ",0,"-1/2*a*(log(e*x^2 + d)/d - 2*log(x)/d) + b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e*x^3 + d*x), x)","F",0
102,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x^2/(e*x^2+d),x, algorithm=""maxima"")","-a {\left(\frac{e \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} d} + \frac{1}{d x}\right)} + b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e x^{4} + d x^{2}}\,{d x}"," ",0,"-a*(e*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d) + 1/(d*x)) + b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e*x^4 + d*x^2), x)","F",0
103,0,0,0,0.000000," ","integrate(x^5*(a+b*arccsch(c*x))/(e*x^2+d)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{d^{2}}{e^{4} x^{2} + d e^{3}} - \frac{x^{2}}{e^{2}} + \frac{2 \, d \log\left(e x^{2} + d\right)}{e^{3}}\right)} + b \int \frac{x^{5} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}\,{d x}"," ",0,"-1/2*a*(d^2/(e^4*x^2 + d*e^3) - x^2/e^2 + 2*d*log(e*x^2 + d)/e^3) + b*integrate(x^5*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
104,0,0,0,0.000000," ","integrate(x^3*(a+b*arccsch(c*x))/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{d}{e^{3} x^{2} + d e^{2}} + \frac{\log\left(e x^{2} + d\right)}{e^{2}}\right)} + b \int \frac{x^{3} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}\,{d x}"," ",0,"1/2*a*(d/(e^3*x^2 + d*e^2) + log(e*x^2 + d)/e^2) + b*integrate(x^3*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
105,0,0,0,0.000000," ","integrate(x*(a+b*arccsch(c*x))/(e*x^2+d)^2,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(4 \, c^{2} \int \frac{x}{2 \, {\left(c^{2} e^{2} x^{4} + {\left(c^{2} d e + e^{2}\right)} x^{2} + d e + {\left(c^{2} e^{2} x^{4} + {\left(c^{2} d e + e^{2}\right)} x^{2} + d e\right)} \sqrt{c^{2} x^{2} + 1}\right)}}\,{d x} - \frac{2 \, c^{2} d^{2} \log\left(c\right) - 2 \, {\left(c^{2} d e - e^{2}\right)} x^{2} \log\left(x\right) - 2 \, d e \log\left(c\right) + {\left(c^{2} d e x^{2} + c^{2} d^{2}\right)} \log\left(c^{2} x^{2} + 1\right) - 2 \, {\left(c^{2} d^{2} - d e\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{c^{2} d^{3} e - d^{2} e^{2} + {\left(c^{2} d^{2} e^{2} - d e^{3}\right)} x^{2}} + \frac{\log\left(e x^{2} + d\right)}{c^{2} d^{2} - d e}\right)} b - \frac{a}{2 \, {\left(e^{2} x^{2} + d e\right)}}"," ",0,"-1/4*(4*c^2*integrate(1/2*x/(c^2*e^2*x^4 + (c^2*d*e + e^2)*x^2 + d*e + (c^2*e^2*x^4 + (c^2*d*e + e^2)*x^2 + d*e)*sqrt(c^2*x^2 + 1)), x) - (2*c^2*d^2*log(c) - 2*(c^2*d*e - e^2)*x^2*log(x) - 2*d*e*log(c) + (c^2*d*e*x^2 + c^2*d^2)*log(c^2*x^2 + 1) - 2*(c^2*d^2 - d*e)*log(sqrt(c^2*x^2 + 1) + 1))/(c^2*d^3*e - d^2*e^2 + (c^2*d^2*e^2 - d*e^3)*x^2) + log(e*x^2 + d)/(c^2*d^2 - d*e))*b - 1/2*a/(e^2*x^2 + d*e)","F",0
106,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{1}{d e x^{2} + d^{2}} - \frac{\log\left(e x^{2} + d\right)}{d^{2}} + \frac{2 \, \log\left(x\right)}{d^{2}}\right)} + b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e^{2} x^{5} + 2 \, d e x^{3} + d^{2} x}\,{d x}"," ",0,"1/2*a*(1/(d*e*x^2 + d^2) - log(e*x^2 + d)/d^2 + 2*log(x)/d^2) + b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e^2*x^5 + 2*d*e*x^3 + d^2*x), x)","F",0
107,0,0,0,0.000000," ","integrate(x^4*(a+b*arccsch(c*x))/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{d x}{e^{3} x^{2} + d e^{2}} - \frac{3 \, d \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} e^{2}} + \frac{2 \, x}{e^{2}}\right)} + b \int \frac{x^{4} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}\,{d x}"," ",0,"1/2*a*(d*x/(e^3*x^2 + d*e^2) - 3*d*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e^2) + 2*x/e^2) + b*integrate(x^4*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
108,0,0,0,0.000000," ","integrate(x^2*(a+b*arccsch(c*x))/(e*x^2+d)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{x}{e^{2} x^{2} + d e} - \frac{\arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} e}\right)} + b \int \frac{x^{2} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}\,{d x}"," ",0,"-1/2*a*(x/(e^2*x^2 + d*e) - arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e)) + b*integrate(x^2*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
109,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{x}{d e x^{2} + d^{2}} + \frac{\arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} d}\right)} + b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}\,{d x}"," ",0,"1/2*a*(x/(d*e*x^2 + d^2) + arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d)) + b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
110,-2,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x^2/(e*x^2+d)^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(e-c^2*d>0)', see `assume?` for more details)Is e-c^2*d positive or negative?","F(-2)",0
111,0,0,0,0.000000," ","integrate(x^5*(a+b*arccsch(c*x))/(e*x^2+d)^3,x, algorithm=""maxima"")","\frac{1}{4} \, a {\left(\frac{4 \, d e x^{2} + 3 \, d^{2}}{e^{5} x^{4} + 2 \, d e^{4} x^{2} + d^{2} e^{3}} + \frac{2 \, \log\left(e x^{2} + d\right)}{e^{3}}\right)} + b \int \frac{x^{5} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}\,{d x}"," ",0,"1/4*a*((4*d*e*x^2 + 3*d^2)/(e^5*x^4 + 2*d*e^4*x^2 + d^2*e^3) + 2*log(e*x^2 + d)/e^3) + b*integrate(x^5*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
112,0,0,0,0.000000," ","integrate(x^3*(a+b*arccsch(c*x))/(e*x^2+d)^3,x, algorithm=""maxima"")","\frac{1}{8} \, b {\left(\frac{2 \, c^{4} d^{4} \log\left(c\right) - 2 \, {\left(c^{4} d^{2} e^{2} - 2 \, c^{2} d e^{3} + e^{4}\right)} x^{4} \log\left(x\right) + 2 \, d^{2} e^{2} \log\left(c\right) + d^{2} e^{2} - {\left(4 \, d^{3} e \log\left(c\right) + d^{3} e\right)} c^{2} + {\left(4 \, c^{4} d^{3} e \log\left(c\right) + 4 \, d e^{3} \log\left(c\right) + d e^{3} - {\left(8 \, d^{2} e^{2} \log\left(c\right) + d^{2} e^{2}\right)} c^{2}\right)} x^{2} + {\left(c^{4} d^{4} - 2 \, c^{2} d^{3} e + {\left(c^{4} d^{2} e^{2} - 2 \, c^{2} d e^{3}\right)} x^{4} + 2 \, {\left(c^{4} d^{3} e - 2 \, c^{2} d^{2} e^{2}\right)} x^{2}\right)} \log\left(c^{2} x^{2} + 1\right) - 2 \, {\left(c^{4} d^{4} - 2 \, c^{2} d^{3} e + d^{2} e^{2} + 2 \, {\left(c^{4} d^{3} e - 2 \, c^{2} d^{2} e^{2} + d e^{3}\right)} x^{2}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{c^{4} d^{5} e^{2} - 2 \, c^{2} d^{4} e^{3} + d^{3} e^{4} + {\left(c^{4} d^{3} e^{4} - 2 \, c^{2} d^{2} e^{5} + d e^{6}\right)} x^{4} + 2 \, {\left(c^{4} d^{4} e^{3} - 2 \, c^{2} d^{3} e^{4} + d^{2} e^{5}\right)} x^{2}} + \frac{\log\left(e x^{2} + d\right)}{c^{4} d^{3} - 2 \, c^{2} d^{2} e + d e^{2}} - 8 \, \int \frac{2 \, c^{2} e x^{3} + c^{2} d x}{4 \, {\left(c^{2} e^{4} x^{6} + {\left(2 \, c^{2} d e^{3} + e^{4}\right)} x^{4} + d^{2} e^{2} + {\left(c^{2} d^{2} e^{2} + 2 \, d e^{3}\right)} x^{2} + {\left(c^{2} e^{4} x^{6} + {\left(2 \, c^{2} d e^{3} + e^{4}\right)} x^{4} + d^{2} e^{2} + {\left(c^{2} d^{2} e^{2} + 2 \, d e^{3}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} + 1}\right)}}\,{d x}\right)} - \frac{{\left(2 \, e x^{2} + d\right)} a}{4 \, {\left(e^{4} x^{4} + 2 \, d e^{3} x^{2} + d^{2} e^{2}\right)}}"," ",0,"1/8*b*((2*c^4*d^4*log(c) - 2*(c^4*d^2*e^2 - 2*c^2*d*e^3 + e^4)*x^4*log(x) + 2*d^2*e^2*log(c) + d^2*e^2 - (4*d^3*e*log(c) + d^3*e)*c^2 + (4*c^4*d^3*e*log(c) + 4*d*e^3*log(c) + d*e^3 - (8*d^2*e^2*log(c) + d^2*e^2)*c^2)*x^2 + (c^4*d^4 - 2*c^2*d^3*e + (c^4*d^2*e^2 - 2*c^2*d*e^3)*x^4 + 2*(c^4*d^3*e - 2*c^2*d^2*e^2)*x^2)*log(c^2*x^2 + 1) - 2*(c^4*d^4 - 2*c^2*d^3*e + d^2*e^2 + 2*(c^4*d^3*e - 2*c^2*d^2*e^2 + d*e^3)*x^2)*log(sqrt(c^2*x^2 + 1) + 1))/(c^4*d^5*e^2 - 2*c^2*d^4*e^3 + d^3*e^4 + (c^4*d^3*e^4 - 2*c^2*d^2*e^5 + d*e^6)*x^4 + 2*(c^4*d^4*e^3 - 2*c^2*d^3*e^4 + d^2*e^5)*x^2) + log(e*x^2 + d)/(c^4*d^3 - 2*c^2*d^2*e + d*e^2) - 8*integrate(1/4*(2*c^2*e*x^3 + c^2*d*x)/(c^2*e^4*x^6 + (2*c^2*d*e^3 + e^4)*x^4 + d^2*e^2 + (c^2*d^2*e^2 + 2*d*e^3)*x^2 + (c^2*e^4*x^6 + (2*c^2*d*e^3 + e^4)*x^4 + d^2*e^2 + (c^2*d^2*e^2 + 2*d*e^3)*x^2)*sqrt(c^2*x^2 + 1)), x)) - 1/4*(2*e*x^2 + d)*a/(e^4*x^4 + 2*d*e^3*x^2 + d^2*e^2)","F",0
113,0,0,0,0.000000," ","integrate(x*(a+b*arccsch(c*x))/(e*x^2+d)^3,x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(8 \, c^{2} \int \frac{x}{4 \, {\left(c^{2} e^{3} x^{6} + {\left(2 \, c^{2} d e^{2} + e^{3}\right)} x^{4} + d^{2} e + {\left(c^{2} d^{2} e + 2 \, d e^{2}\right)} x^{2} + {\left(c^{2} e^{3} x^{6} + {\left(2 \, c^{2} d e^{2} + e^{3}\right)} x^{4} + d^{2} e + {\left(c^{2} d^{2} e + 2 \, d e^{2}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} + 1}\right)}}\,{d x} + \frac{{\left(2 \, c^{2} d - e\right)} \log\left(e x^{2} + d\right)}{c^{4} d^{4} - 2 \, c^{2} d^{3} e + d^{2} e^{2}} - \frac{2 \, c^{4} d^{4} \log\left(c\right) + 2 \, d^{2} e^{2} \log\left(c\right) - d^{2} e^{2} - {\left(4 \, d^{3} e \log\left(c\right) - d^{3} e\right)} c^{2} + {\left(c^{2} d^{2} e^{2} - d e^{3}\right)} x^{2} + {\left(c^{4} d^{2} e^{2} x^{4} + 2 \, c^{4} d^{3} e x^{2} + c^{4} d^{4}\right)} \log\left(c^{2} x^{2} + 1\right) - 2 \, {\left({\left(c^{4} d^{2} e^{2} - 2 \, c^{2} d e^{3} + e^{4}\right)} x^{4} + 2 \, {\left(c^{4} d^{3} e - 2 \, c^{2} d^{2} e^{2} + d e^{3}\right)} x^{2}\right)} \log\left(x\right) - 2 \, {\left(c^{4} d^{4} - 2 \, c^{2} d^{3} e + d^{2} e^{2}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{c^{4} d^{6} e - 2 \, c^{2} d^{5} e^{2} + d^{4} e^{3} + {\left(c^{4} d^{4} e^{3} - 2 \, c^{2} d^{3} e^{4} + d^{2} e^{5}\right)} x^{4} + 2 \, {\left(c^{4} d^{5} e^{2} - 2 \, c^{2} d^{4} e^{3} + d^{3} e^{4}\right)} x^{2}}\right)} b - \frac{a}{4 \, {\left(e^{3} x^{4} + 2 \, d e^{2} x^{2} + d^{2} e\right)}}"," ",0,"-1/8*(8*c^2*integrate(1/4*x/(c^2*e^3*x^6 + (2*c^2*d*e^2 + e^3)*x^4 + d^2*e + (c^2*d^2*e + 2*d*e^2)*x^2 + (c^2*e^3*x^6 + (2*c^2*d*e^2 + e^3)*x^4 + d^2*e + (c^2*d^2*e + 2*d*e^2)*x^2)*sqrt(c^2*x^2 + 1)), x) + (2*c^2*d - e)*log(e*x^2 + d)/(c^4*d^4 - 2*c^2*d^3*e + d^2*e^2) - (2*c^4*d^4*log(c) + 2*d^2*e^2*log(c) - d^2*e^2 - (4*d^3*e*log(c) - d^3*e)*c^2 + (c^2*d^2*e^2 - d*e^3)*x^2 + (c^4*d^2*e^2*x^4 + 2*c^4*d^3*e*x^2 + c^4*d^4)*log(c^2*x^2 + 1) - 2*((c^4*d^2*e^2 - 2*c^2*d*e^3 + e^4)*x^4 + 2*(c^4*d^3*e - 2*c^2*d^2*e^2 + d*e^3)*x^2)*log(x) - 2*(c^4*d^4 - 2*c^2*d^3*e + d^2*e^2)*log(sqrt(c^2*x^2 + 1) + 1))/(c^4*d^6*e - 2*c^2*d^5*e^2 + d^4*e^3 + (c^4*d^4*e^3 - 2*c^2*d^3*e^4 + d^2*e^5)*x^4 + 2*(c^4*d^5*e^2 - 2*c^2*d^4*e^3 + d^3*e^4)*x^2))*b - 1/4*a/(e^3*x^4 + 2*d*e^2*x^2 + d^2*e)","F",0
114,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x/(e*x^2+d)^3,x, algorithm=""maxima"")","\frac{1}{4} \, a {\left(\frac{2 \, e x^{2} + 3 \, d}{d^{2} e^{2} x^{4} + 2 \, d^{3} e x^{2} + d^{4}} - \frac{2 \, \log\left(e x^{2} + d\right)}{d^{3}} + \frac{4 \, \log\left(x\right)}{d^{3}}\right)} + b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e^{3} x^{7} + 3 \, d e^{2} x^{5} + 3 \, d^{2} e x^{3} + d^{3} x}\,{d x}"," ",0,"1/4*a*((2*e*x^2 + 3*d)/(d^2*e^2*x^4 + 2*d^3*e*x^2 + d^4) - 2*log(e*x^2 + d)/d^3 + 4*log(x)/d^3) + b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e^3*x^7 + 3*d*e^2*x^5 + 3*d^2*e*x^3 + d^3*x), x)","F",0
115,0,0,0,0.000000," ","integrate(x^4*(a+b*arccsch(c*x))/(e*x^2+d)^3,x, algorithm=""maxima"")","-\frac{1}{8} \, a {\left(\frac{5 \, e x^{3} + 3 \, d x}{e^{4} x^{4} + 2 \, d e^{3} x^{2} + d^{2} e^{2}} - \frac{3 \, \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} e^{2}}\right)} + b \int \frac{x^{4} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}\,{d x}"," ",0,"-1/8*a*((5*e*x^3 + 3*d*x)/(e^4*x^4 + 2*d*e^3*x^2 + d^2*e^2) - 3*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e^2)) + b*integrate(x^4*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
116,0,0,0,0.000000," ","integrate(x^2*(a+b*arccsch(c*x))/(e*x^2+d)^3,x, algorithm=""maxima"")","\frac{1}{8} \, a {\left(\frac{e x^{3} - d x}{d e^{3} x^{4} + 2 \, d^{2} e^{2} x^{2} + d^{3} e} + \frac{\arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} d e}\right)} + b \int \frac{x^{2} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}\,{d x}"," ",0,"1/8*a*((e*x^3 - d*x)/(d*e^3*x^4 + 2*d^2*e^2*x^2 + d^3*e) + arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d*e)) + b*integrate(x^2*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
117,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/(e*x^2+d)^3,x, algorithm=""maxima"")","\frac{1}{8} \, a {\left(\frac{3 \, e x^{3} + 5 \, d x}{d^{2} e^{2} x^{4} + 2 \, d^{3} e x^{2} + d^{4}} + \frac{3 \, \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} d^{2}}\right)} + b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}\,{d x}"," ",0,"1/8*a*((3*e*x^3 + 5*d*x)/(d^2*e^2*x^4 + 2*d^3*e*x^2 + d^4) + 3*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^2)) + b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
118,0,0,0,0.000000," ","integrate(x^5*(a+b*arccsch(c*x))*(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{105} \, {\left(\frac{15 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{4}}{e} - \frac{12 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d x^{2}}{e^{2}} + \frac{8 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{2}}{e^{3}}\right)} a + \frac{1}{105} \, b {\left(\frac{{\left(15 \, e^{3} x^{6} + 3 \, d e^{2} x^{4} - 4 \, d^{2} e x^{2} + 8 \, d^{3}\right)} \sqrt{e x^{2} + d} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{e^{3}} + 105 \, \int \frac{{\left(15 \, c^{2} e^{3} x^{7} + 3 \, c^{2} d e^{2} x^{5} - 4 \, c^{2} d^{2} e x^{3} + 8 \, c^{2} d^{3} x\right)} \sqrt{e x^{2} + d}}{105 \, {\left(c^{2} e^{3} x^{2} + e^{3} + {\left(c^{2} e^{3} x^{2} + e^{3}\right)} \sqrt{c^{2} x^{2} + 1}\right)}}\,{d x} - 105 \, \int \frac{{\left(15 \, {\left(7 \, e^{3} \log\left(c\right) + e^{3}\right)} c^{2} x^{7} - 4 \, c^{2} d^{2} e x^{3} + 8 \, c^{2} d^{3} x + 3 \, {\left(c^{2} d e^{2} + 35 \, e^{3} \log\left(c\right)\right)} x^{5} + 105 \, {\left(c^{2} e^{3} x^{7} + e^{3} x^{5}\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{105 \, {\left(c^{2} e^{3} x^{2} + e^{3}\right)}}\,{d x}\right)}"," ",0,"1/105*(15*(e*x^2 + d)^(3/2)*x^4/e - 12*(e*x^2 + d)^(3/2)*d*x^2/e^2 + 8*(e*x^2 + d)^(3/2)*d^2/e^3)*a + 1/105*b*((15*e^3*x^6 + 3*d*e^2*x^4 - 4*d^2*e*x^2 + 8*d^3)*sqrt(e*x^2 + d)*log(sqrt(c^2*x^2 + 1) + 1)/e^3 + 105*integrate(1/105*(15*c^2*e^3*x^7 + 3*c^2*d*e^2*x^5 - 4*c^2*d^2*e*x^3 + 8*c^2*d^3*x)*sqrt(e*x^2 + d)/(c^2*e^3*x^2 + e^3 + (c^2*e^3*x^2 + e^3)*sqrt(c^2*x^2 + 1)), x) - 105*integrate(1/105*(15*(7*e^3*log(c) + e^3)*c^2*x^7 - 4*c^2*d^2*e*x^3 + 8*c^2*d^3*x + 3*(c^2*d*e^2 + 35*e^3*log(c))*x^5 + 105*(c^2*e^3*x^7 + e^3*x^5)*log(x))*sqrt(e*x^2 + d)/(c^2*e^3*x^2 + e^3), x))","F",0
119,0,0,0,0.000000," ","integrate(x^3*(a+b*arccsch(c*x))*(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{15} \, {\left(\frac{3 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{2}}{e} - \frac{2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d}{e^{2}}\right)} a + \frac{1}{15} \, b {\left(\frac{{\left(3 \, e^{2} x^{4} + d e x^{2} - 2 \, d^{2}\right)} \sqrt{e x^{2} + d} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{e^{2}} + 15 \, \int \frac{{\left(3 \, c^{2} e^{2} x^{5} + c^{2} d e x^{3} - 2 \, c^{2} d^{2} x\right)} \sqrt{e x^{2} + d}}{15 \, {\left(c^{2} e^{2} x^{2} + e^{2} + {\left(c^{2} e^{2} x^{2} + e^{2}\right)} \sqrt{c^{2} x^{2} + 1}\right)}}\,{d x} - 15 \, \int \frac{{\left(3 \, {\left(5 \, e^{2} \log\left(c\right) + e^{2}\right)} c^{2} x^{5} - 2 \, c^{2} d^{2} x + {\left(c^{2} d e + 15 \, e^{2} \log\left(c\right)\right)} x^{3} + 15 \, {\left(c^{2} e^{2} x^{5} + e^{2} x^{3}\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{15 \, {\left(c^{2} e^{2} x^{2} + e^{2}\right)}}\,{d x}\right)}"," ",0,"1/15*(3*(e*x^2 + d)^(3/2)*x^2/e - 2*(e*x^2 + d)^(3/2)*d/e^2)*a + 1/15*b*((3*e^2*x^4 + d*e*x^2 - 2*d^2)*sqrt(e*x^2 + d)*log(sqrt(c^2*x^2 + 1) + 1)/e^2 + 15*integrate(1/15*(3*c^2*e^2*x^5 + c^2*d*e*x^3 - 2*c^2*d^2*x)*sqrt(e*x^2 + d)/(c^2*e^2*x^2 + e^2 + (c^2*e^2*x^2 + e^2)*sqrt(c^2*x^2 + 1)), x) - 15*integrate(1/15*(3*(5*e^2*log(c) + e^2)*c^2*x^5 - 2*c^2*d^2*x + (c^2*d*e + 15*e^2*log(c))*x^3 + 15*(c^2*e^2*x^5 + e^2*x^3)*log(x))*sqrt(e*x^2 + d)/(c^2*e^2*x^2 + e^2), x))","F",0
120,0,0,0,0.000000," ","integrate(x*(a+b*arccsch(c*x))*(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(\frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{e} + 3 \, \int \frac{{\left(c^{2} e x^{3} + c^{2} d x\right)} \sqrt{e x^{2} + d}}{3 \, {\left(c^{2} e x^{2} + {\left(c^{2} e x^{2} + e\right)} \sqrt{c^{2} x^{2} + 1} + e\right)}}\,{d x} - 3 \, \int \frac{{\left({\left(3 \, e \log\left(c\right) + e\right)} c^{2} x^{3} + {\left(c^{2} d + 3 \, e \log\left(c\right)\right)} x + 3 \, {\left(c^{2} e x^{3} + e x\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{3 \, {\left(c^{2} e x^{2} + e\right)}}\,{d x}\right)} b + \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} a}{3 \, e}"," ",0,"1/3*((e*x^2 + d)^(3/2)*log(sqrt(c^2*x^2 + 1) + 1)/e + 3*integrate(1/3*(c^2*e*x^3 + c^2*d*x)*sqrt(e*x^2 + d)/(c^2*e*x^2 + (c^2*e*x^2 + e)*sqrt(c^2*x^2 + 1) + e), x) - 3*integrate(1/3*((3*e*log(c) + e)*c^2*x^3 + (c^2*d + 3*e*log(c))*x + 3*(c^2*e*x^3 + e*x)*log(x))*sqrt(e*x^2 + d)/(c^2*e*x^2 + e), x))*b + 1/3*(e*x^2 + d)^(3/2)*a/e","F",0
121,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))*(e*x^2+d)^(1/2)/x,x, algorithm=""maxima"")","-{\left(\sqrt{d} \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right) - \sqrt{e x^{2} + d}\right)} a + b \int \frac{\sqrt{e x^{2} + d} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{x}\,{d x}"," ",0,"-(sqrt(d)*arcsinh(d/(sqrt(d*e)*abs(x))) - sqrt(e*x^2 + d))*a + b*integrate(sqrt(e*x^2 + d)*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/x, x)","F",0
122,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))*(e*x^2+d)^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(\frac{e \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{\sqrt{d}} - \frac{\sqrt{e x^{2} + d} e}{d} + \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}{d x^{2}}\right)} a + b \int \frac{\sqrt{e x^{2} + d} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{x^{3}}\,{d x}"," ",0,"-1/2*(e*arcsinh(d/(sqrt(d*e)*abs(x)))/sqrt(d) - sqrt(e*x^2 + d)*e/d + (e*x^2 + d)^(3/2)/(d*x^2))*a + b*integrate(sqrt(e*x^2 + d)*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/x^3, x)","F",0
123,0,0,0,0.000000," ","integrate(x^2*(a+b*arccsch(c*x))*(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(\frac{2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} x}{e} - \frac{\sqrt{e x^{2} + d} d x}{e} - \frac{d^{2} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{3}{2}}}\right)} a + b \int \sqrt{e x^{2} + d} x^{2} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)\,{d x}"," ",0,"1/8*(2*(e*x^2 + d)^(3/2)*x/e - sqrt(e*x^2 + d)*d*x/e - d^2*arcsinh(e*x/sqrt(d*e))/e^(3/2))*a + b*integrate(sqrt(e*x^2 + d)*x^2*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x)), x)","F",0
124,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))*(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\sqrt{e x^{2} + d} x + \frac{d \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{e}}\right)} a + b \int \sqrt{e x^{2} + d} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)\,{d x}"," ",0,"1/2*(sqrt(e*x^2 + d)*x + d*arcsinh(e*x/sqrt(d*e))/sqrt(e))*a + b*integrate(sqrt(e*x^2 + d)*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x)), x)","F",0
125,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))*(e*x^2+d)^(1/2)/x^2,x, algorithm=""maxima"")","{\left(\sqrt{e} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right) - \frac{\sqrt{e x^{2} + d}}{x}\right)} a + b \int \frac{\sqrt{e x^{2} + d} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{x^{2}}\,{d x}"," ",0,"(sqrt(e)*arcsinh(e*x/sqrt(d*e)) - sqrt(e*x^2 + d)/x)*a + b*integrate(sqrt(e*x^2 + d)*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/x^2, x)","F",0
126,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))*(e*x^2+d)^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{1}{3} \, b {\left(\frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{d x^{3}} + 3 \, \int -\frac{{\left(c^{2} e x^{4} - {\left(3 \, d \log\left(c\right) - d\right)} c^{2} x^{2} - 3 \, d \log\left(c\right) - 3 \, {\left(c^{2} d x^{2} + d\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{3 \, {\left(c^{2} d x^{6} + d x^{4}\right)}}\,{d x} + 3 \, \int \frac{{\left(c^{2} e x^{2} + c^{2} d\right)} \sqrt{e x^{2} + d}}{3 \, {\left(c^{2} d x^{4} + d x^{2} + {\left(c^{2} d x^{4} + d x^{2}\right)} \sqrt{c^{2} x^{2} + 1}\right)}}\,{d x}\right)} - \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} a}{3 \, d x^{3}}"," ",0,"-1/3*b*((e*x^2 + d)^(3/2)*log(sqrt(c^2*x^2 + 1) + 1)/(d*x^3) + 3*integrate(-1/3*(c^2*e*x^4 - (3*d*log(c) - d)*c^2*x^2 - 3*d*log(c) - 3*(c^2*d*x^2 + d)*log(x))*sqrt(e*x^2 + d)/(c^2*d*x^6 + d*x^4), x) + 3*integrate(1/3*(c^2*e*x^2 + c^2*d)*sqrt(e*x^2 + d)/(c^2*d*x^4 + d*x^2 + (c^2*d*x^4 + d*x^2)*sqrt(c^2*x^2 + 1)), x)) - 1/3*(e*x^2 + d)^(3/2)*a/(d*x^3)","F",0
127,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))*(e*x^2+d)^(1/2)/x^6,x, algorithm=""maxima"")","\frac{1}{15} \, a {\left(\frac{2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} e}{d^{2} x^{3}} - \frac{3 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}}}{d x^{5}}\right)} + \frac{1}{15} \, b {\left(\frac{{\left(2 \, e^{2} x^{4} - d e x^{2} - 3 \, d^{2}\right)} \sqrt{e x^{2} + d} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{d^{2} x^{5}} - 15 \, \int \frac{{\left(2 \, c^{2} e^{2} x^{6} - c^{2} d e x^{4} + 3 \, {\left(5 \, d^{2} \log\left(c\right) - d^{2}\right)} c^{2} x^{2} + 15 \, d^{2} \log\left(c\right) + 15 \, {\left(c^{2} d^{2} x^{2} + d^{2}\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{15 \, {\left(c^{2} d^{2} x^{8} + d^{2} x^{6}\right)}}\,{d x} + 15 \, \int \frac{{\left(2 \, c^{2} e^{2} x^{4} - c^{2} d e x^{2} - 3 \, c^{2} d^{2}\right)} \sqrt{e x^{2} + d}}{15 \, {\left(c^{2} d^{2} x^{6} + d^{2} x^{4} + {\left(c^{2} d^{2} x^{6} + d^{2} x^{4}\right)} \sqrt{c^{2} x^{2} + 1}\right)}}\,{d x}\right)}"," ",0,"1/15*a*(2*(e*x^2 + d)^(3/2)*e/(d^2*x^3) - 3*(e*x^2 + d)^(3/2)/(d*x^5)) + 1/15*b*((2*e^2*x^4 - d*e*x^2 - 3*d^2)*sqrt(e*x^2 + d)*log(sqrt(c^2*x^2 + 1) + 1)/(d^2*x^5) - 15*integrate(1/15*(2*c^2*e^2*x^6 - c^2*d*e*x^4 + 3*(5*d^2*log(c) - d^2)*c^2*x^2 + 15*d^2*log(c) + 15*(c^2*d^2*x^2 + d^2)*log(x))*sqrt(e*x^2 + d)/(c^2*d^2*x^8 + d^2*x^6), x) + 15*integrate(1/15*(2*c^2*e^2*x^4 - c^2*d*e*x^2 - 3*c^2*d^2)*sqrt(e*x^2 + d)/(c^2*d^2*x^6 + d^2*x^4 + (c^2*d^2*x^6 + d^2*x^4)*sqrt(c^2*x^2 + 1)), x))","F",0
128,0,0,0,0.000000," ","integrate(x^3*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{35} \, {\left(\frac{5 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} x^{2}}{e} - \frac{2 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d}{e^{2}}\right)} a + \frac{1}{35} \, b {\left(\frac{{\left(5 \, e^{3} x^{6} + 8 \, d e^{2} x^{4} + d^{2} e x^{2} - 2 \, d^{3}\right)} \sqrt{e x^{2} + d} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{e^{2}} + 35 \, \int \frac{{\left(5 \, c^{2} e^{3} x^{7} + 8 \, c^{2} d e^{2} x^{5} + c^{2} d^{2} e x^{3} - 2 \, c^{2} d^{3} x\right)} \sqrt{e x^{2} + d}}{35 \, {\left(c^{2} e^{2} x^{2} + e^{2} + {\left(c^{2} e^{2} x^{2} + e^{2}\right)} \sqrt{c^{2} x^{2} + 1}\right)}}\,{d x} - 35 \, \int \frac{{\left(5 \, {\left(7 \, e^{3} \log\left(c\right) + e^{3}\right)} c^{2} x^{7} - 2 \, c^{2} d^{3} x + {\left(35 \, e^{3} \log\left(c\right) + {\left(35 \, d e^{2} \log\left(c\right) + 8 \, d e^{2}\right)} c^{2}\right)} x^{5} + {\left(c^{2} d^{2} e + 35 \, d e^{2} \log\left(c\right)\right)} x^{3} + 35 \, {\left(c^{2} e^{3} x^{7} + d e^{2} x^{3} + {\left(c^{2} d e^{2} + e^{3}\right)} x^{5}\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{35 \, {\left(c^{2} e^{2} x^{2} + e^{2}\right)}}\,{d x}\right)}"," ",0,"1/35*(5*(e*x^2 + d)^(5/2)*x^2/e - 2*(e*x^2 + d)^(5/2)*d/e^2)*a + 1/35*b*((5*e^3*x^6 + 8*d*e^2*x^4 + d^2*e*x^2 - 2*d^3)*sqrt(e*x^2 + d)*log(sqrt(c^2*x^2 + 1) + 1)/e^2 + 35*integrate(1/35*(5*c^2*e^3*x^7 + 8*c^2*d*e^2*x^5 + c^2*d^2*e*x^3 - 2*c^2*d^3*x)*sqrt(e*x^2 + d)/(c^2*e^2*x^2 + e^2 + (c^2*e^2*x^2 + e^2)*sqrt(c^2*x^2 + 1)), x) - 35*integrate(1/35*(5*(7*e^3*log(c) + e^3)*c^2*x^7 - 2*c^2*d^3*x + (35*e^3*log(c) + (35*d*e^2*log(c) + 8*d*e^2)*c^2)*x^5 + (c^2*d^2*e + 35*d*e^2*log(c))*x^3 + 35*(c^2*e^3*x^7 + d*e^2*x^3 + (c^2*d*e^2 + e^3)*x^5)*log(x))*sqrt(e*x^2 + d)/(c^2*e^2*x^2 + e^2), x))","F",0
129,0,0,0,0.000000," ","integrate(x*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}} a}{5 \, e} + \frac{1}{5} \, {\left(\frac{{\left(e^{2} x^{4} + 2 \, d e x^{2} + d^{2}\right)} \sqrt{e x^{2} + d} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{e} + 5 \, \int \frac{{\left(c^{2} e^{2} x^{5} + 2 \, c^{2} d e x^{3} + c^{2} d^{2} x\right)} \sqrt{e x^{2} + d}}{5 \, {\left(c^{2} e x^{2} + {\left(c^{2} e x^{2} + e\right)} \sqrt{c^{2} x^{2} + 1} + e\right)}}\,{d x} - 5 \, \int \frac{{\left({\left(5 \, e^{2} \log\left(c\right) + e^{2}\right)} c^{2} x^{5} + {\left({\left(5 \, d e \log\left(c\right) + 2 \, d e\right)} c^{2} + 5 \, e^{2} \log\left(c\right)\right)} x^{3} + {\left(c^{2} d^{2} + 5 \, d e \log\left(c\right)\right)} x + 5 \, {\left(c^{2} e^{2} x^{5} + {\left(c^{2} d e + e^{2}\right)} x^{3} + d e x\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{5 \, {\left(c^{2} e x^{2} + e\right)}}\,{d x}\right)} b"," ",0,"1/5*(e*x^2 + d)^(5/2)*a/e + 1/5*((e^2*x^4 + 2*d*e*x^2 + d^2)*sqrt(e*x^2 + d)*log(sqrt(c^2*x^2 + 1) + 1)/e + 5*integrate(1/5*(c^2*e^2*x^5 + 2*c^2*d*e*x^3 + c^2*d^2*x)*sqrt(e*x^2 + d)/(c^2*e*x^2 + (c^2*e*x^2 + e)*sqrt(c^2*x^2 + 1) + e), x) - 5*integrate(1/5*((5*e^2*log(c) + e^2)*c^2*x^5 + ((5*d*e*log(c) + 2*d*e)*c^2 + 5*e^2*log(c))*x^3 + (c^2*d^2 + 5*d*e*log(c))*x + 5*(c^2*e^2*x^5 + (c^2*d*e + e^2)*x^3 + d*e*x)*log(x))*sqrt(e*x^2 + d)/(c^2*e*x^2 + e), x))*b","F",0
130,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x,x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(3 \, d^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right) - {\left(e x^{2} + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{e x^{2} + d} d\right)} a + b \int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{x}\,{d x}"," ",0,"-1/3*(3*d^(3/2)*arcsinh(d/(sqrt(d*e)*abs(x))) - (e*x^2 + d)^(3/2) - 3*sqrt(e*x^2 + d)*d)*a + b*integrate((e*x^2 + d)^(3/2)*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/x, x)","F",0
131,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x^3,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(3 \, \sqrt{d} e \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right) - 3 \, \sqrt{e x^{2} + d} e - \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e}{d} + \frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}{d x^{2}}\right)} a + b \int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{x^{3}}\,{d x}"," ",0,"-1/2*(3*sqrt(d)*e*arcsinh(d/(sqrt(d*e)*abs(x))) - 3*sqrt(e*x^2 + d)*e - (e*x^2 + d)^(3/2)*e/d + (e*x^2 + d)^(5/2)/(d*x^2))*a + b*integrate((e*x^2 + d)^(3/2)*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/x^3, x)","F",0
132,0,0,0,0.000000," ","integrate(x^2*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{48} \, {\left(\frac{8 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} x}{e} - \frac{2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d x}{e} - \frac{3 \, \sqrt{e x^{2} + d} d^{2} x}{e} - \frac{3 \, d^{3} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{3}{2}}}\right)} a + b \int {\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{2} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)\,{d x}"," ",0,"1/48*(8*(e*x^2 + d)^(5/2)*x/e - 2*(e*x^2 + d)^(3/2)*d*x/e - 3*sqrt(e*x^2 + d)*d^2*x/e - 3*d^3*arcsinh(e*x/sqrt(d*e))/e^(3/2))*a + b*integrate((e*x^2 + d)^(3/2)*x^2*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x)), x)","F",0
133,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} x + 3 \, \sqrt{e x^{2} + d} d x + \frac{3 \, d^{2} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{e}}\right)} a + b \int {\left(e x^{2} + d\right)}^{\frac{3}{2}} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)\,{d x}"," ",0,"1/8*(2*(e*x^2 + d)^(3/2)*x + 3*sqrt(e*x^2 + d)*d*x + 3*d^2*arcsinh(e*x/sqrt(d*e))/sqrt(e))*a + b*integrate((e*x^2 + d)^(3/2)*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x)), x)","F",0
134,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(3 \, \sqrt{e x^{2} + d} e x + 3 \, d \sqrt{e} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right) - \frac{2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}}}{x}\right)} a + b \int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{x^{2}}\,{d x}"," ",0,"1/2*(3*sqrt(e*x^2 + d)*e*x + 3*d*sqrt(e)*arcsinh(e*x/sqrt(d*e)) - 2*(e*x^2 + d)^(3/2)/x)*a + b*integrate((e*x^2 + d)^(3/2)*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/x^2, x)","F",0
135,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x^4,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(\frac{3 \, \sqrt{e x^{2} + d} e^{2} x}{d} + 3 \, e^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right) - \frac{2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} e}{d x} - \frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}{d x^{3}}\right)} a + b \int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{x^{4}}\,{d x}"," ",0,"1/3*(3*sqrt(e*x^2 + d)*e^2*x/d + 3*e^(3/2)*arcsinh(e*x/sqrt(d*e)) - 2*(e*x^2 + d)^(3/2)*e/(d*x) - (e*x^2 + d)^(5/2)/(d*x^3))*a + b*integrate((e*x^2 + d)^(3/2)*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/x^4, x)","F",0
136,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x^6,x, algorithm=""maxima"")","-\frac{1}{5} \, b {\left(\frac{{\left(e^{2} x^{4} + 2 \, d e x^{2} + d^{2}\right)} \sqrt{e x^{2} + d} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{d x^{5}} + 5 \, \int -\frac{{\left(c^{2} e^{2} x^{6} - {\left(5 \, d e \log\left(c\right) - 2 \, d e\right)} c^{2} x^{4} - {\left({\left(5 \, d^{2} \log\left(c\right) - d^{2}\right)} c^{2} + 5 \, d e \log\left(c\right)\right)} x^{2} - 5 \, d^{2} \log\left(c\right) - 5 \, {\left(c^{2} d e x^{4} + {\left(c^{2} d^{2} + d e\right)} x^{2} + d^{2}\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{5 \, {\left(c^{2} d x^{8} + d x^{6}\right)}}\,{d x} + 5 \, \int \frac{{\left(c^{2} e^{2} x^{4} + 2 \, c^{2} d e x^{2} + c^{2} d^{2}\right)} \sqrt{e x^{2} + d}}{5 \, {\left(c^{2} d x^{6} + d x^{4} + {\left(c^{2} d x^{6} + d x^{4}\right)} \sqrt{c^{2} x^{2} + 1}\right)}}\,{d x}\right)} - \frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}} a}{5 \, d x^{5}}"," ",0,"-1/5*b*((e^2*x^4 + 2*d*e*x^2 + d^2)*sqrt(e*x^2 + d)*log(sqrt(c^2*x^2 + 1) + 1)/(d*x^5) + 5*integrate(-1/5*(c^2*e^2*x^6 - (5*d*e*log(c) - 2*d*e)*c^2*x^4 - ((5*d^2*log(c) - d^2)*c^2 + 5*d*e*log(c))*x^2 - 5*d^2*log(c) - 5*(c^2*d*e*x^4 + (c^2*d^2 + d*e)*x^2 + d^2)*log(x))*sqrt(e*x^2 + d)/(c^2*d*x^8 + d*x^6), x) + 5*integrate(1/5*(c^2*e^2*x^4 + 2*c^2*d*e*x^2 + c^2*d^2)*sqrt(e*x^2 + d)/(c^2*d*x^6 + d*x^4 + (c^2*d*x^6 + d*x^4)*sqrt(c^2*x^2 + 1)), x)) - 1/5*(e*x^2 + d)^(5/2)*a/(d*x^5)","F",0
137,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x^8,x, algorithm=""maxima"")","\frac{1}{35} \, a {\left(\frac{2 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} e}{d^{2} x^{5}} - \frac{5 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}}}{d x^{7}}\right)} + \frac{1}{35} \, b {\left(\frac{{\left(2 \, e^{3} x^{6} - d e^{2} x^{4} - 8 \, d^{2} e x^{2} - 5 \, d^{3}\right)} \sqrt{e x^{2} + d} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{d^{2} x^{7}} - 35 \, \int \frac{{\left(2 \, c^{2} e^{3} x^{8} - c^{2} d e^{2} x^{6} + {\left(35 \, d^{2} e \log\left(c\right) - 8 \, d^{2} e\right)} c^{2} x^{4} + 35 \, d^{3} \log\left(c\right) + 5 \, {\left(7 \, d^{2} e \log\left(c\right) + {\left(7 \, d^{3} \log\left(c\right) - d^{3}\right)} c^{2}\right)} x^{2} + 35 \, {\left(c^{2} d^{2} e x^{4} + d^{3} + {\left(c^{2} d^{3} + d^{2} e\right)} x^{2}\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{35 \, {\left(c^{2} d^{2} x^{10} + d^{2} x^{8}\right)}}\,{d x} + 35 \, \int \frac{{\left(2 \, c^{2} e^{3} x^{6} - c^{2} d e^{2} x^{4} - 8 \, c^{2} d^{2} e x^{2} - 5 \, c^{2} d^{3}\right)} \sqrt{e x^{2} + d}}{35 \, {\left(c^{2} d^{2} x^{8} + d^{2} x^{6} + {\left(c^{2} d^{2} x^{8} + d^{2} x^{6}\right)} \sqrt{c^{2} x^{2} + 1}\right)}}\,{d x}\right)}"," ",0,"1/35*a*(2*(e*x^2 + d)^(5/2)*e/(d^2*x^5) - 5*(e*x^2 + d)^(5/2)/(d*x^7)) + 1/35*b*((2*e^3*x^6 - d*e^2*x^4 - 8*d^2*e*x^2 - 5*d^3)*sqrt(e*x^2 + d)*log(sqrt(c^2*x^2 + 1) + 1)/(d^2*x^7) - 35*integrate(1/35*(2*c^2*e^3*x^8 - c^2*d*e^2*x^6 + (35*d^2*e*log(c) - 8*d^2*e)*c^2*x^4 + 35*d^3*log(c) + 5*(7*d^2*e*log(c) + (7*d^3*log(c) - d^3)*c^2)*x^2 + 35*(c^2*d^2*e*x^4 + d^3 + (c^2*d^3 + d^2*e)*x^2)*log(x))*sqrt(e*x^2 + d)/(c^2*d^2*x^10 + d^2*x^8), x) + 35*integrate(1/35*(2*c^2*e^3*x^6 - c^2*d*e^2*x^4 - 8*c^2*d^2*e*x^2 - 5*c^2*d^3)*sqrt(e*x^2 + d)/(c^2*d^2*x^8 + d^2*x^6 + (c^2*d^2*x^8 + d^2*x^6)*sqrt(c^2*x^2 + 1)), x))","F",0
138,0,0,0,0.000000," ","integrate(x^5*(a+b*arccsch(c*x))/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{15} \, {\left(\frac{3 \, \sqrt{e x^{2} + d} x^{4}}{e} - \frac{4 \, \sqrt{e x^{2} + d} d x^{2}}{e^{2}} + \frac{8 \, \sqrt{e x^{2} + d} d^{2}}{e^{3}}\right)} a + \frac{1}{15} \, b {\left(\frac{{\left(3 \, e^{3} x^{6} - d e^{2} x^{4} + 4 \, d^{2} e x^{2} + 8 \, d^{3}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x^{2} + d} e^{3}} + 15 \, \int \frac{3 \, c^{2} e^{3} x^{7} - c^{2} d e^{2} x^{5} + 4 \, c^{2} d^{2} e x^{3} + 8 \, c^{2} d^{3} x}{15 \, {\left({\left(c^{2} e^{3} x^{2} + e^{3}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x^{2} + d} + {\left(c^{2} e^{3} x^{2} + e^{3}\right)} \sqrt{e x^{2} + d}\right)}}\,{d x} - 15 \, \int \frac{3 \, {\left(5 \, e^{3} \log\left(c\right) + e^{3}\right)} c^{2} x^{7} + 4 \, c^{2} d^{2} e x^{3} + 8 \, c^{2} d^{3} x - {\left(c^{2} d e^{2} - 15 \, e^{3} \log\left(c\right)\right)} x^{5} + 15 \, {\left(c^{2} e^{3} x^{7} + e^{3} x^{5}\right)} \log\left(x\right)}{15 \, {\left(c^{2} e^{3} x^{2} + e^{3}\right)} \sqrt{e x^{2} + d}}\,{d x}\right)}"," ",0,"1/15*(3*sqrt(e*x^2 + d)*x^4/e - 4*sqrt(e*x^2 + d)*d*x^2/e^2 + 8*sqrt(e*x^2 + d)*d^2/e^3)*a + 1/15*b*((3*e^3*x^6 - d*e^2*x^4 + 4*d^2*e*x^2 + 8*d^3)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x^2 + d)*e^3) + 15*integrate(1/15*(3*c^2*e^3*x^7 - c^2*d*e^2*x^5 + 4*c^2*d^2*e*x^3 + 8*c^2*d^3*x)/((c^2*e^3*x^2 + e^3)*sqrt(c^2*x^2 + 1)*sqrt(e*x^2 + d) + (c^2*e^3*x^2 + e^3)*sqrt(e*x^2 + d)), x) - 15*integrate(1/15*(3*(5*e^3*log(c) + e^3)*c^2*x^7 + 4*c^2*d^2*e*x^3 + 8*c^2*d^3*x - (c^2*d*e^2 - 15*e^3*log(c))*x^5 + 15*(c^2*e^3*x^7 + e^3*x^5)*log(x))/((c^2*e^3*x^2 + e^3)*sqrt(e*x^2 + d)), x))","F",0
139,0,0,0,0.000000," ","integrate(x^3*(a+b*arccsch(c*x))/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(\frac{\sqrt{e x^{2} + d} x^{2}}{e} - \frac{2 \, \sqrt{e x^{2} + d} d}{e^{2}}\right)} a + \frac{1}{3} \, b {\left(\frac{{\left(e^{2} x^{4} - d e x^{2} - 2 \, d^{2}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x^{2} + d} e^{2}} + 3 \, \int \frac{c^{2} e^{2} x^{5} - c^{2} d e x^{3} - 2 \, c^{2} d^{2} x}{3 \, {\left({\left(c^{2} e^{2} x^{2} + e^{2}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x^{2} + d} + {\left(c^{2} e^{2} x^{2} + e^{2}\right)} \sqrt{e x^{2} + d}\right)}}\,{d x} - 3 \, \int \frac{{\left(3 \, e^{2} \log\left(c\right) + e^{2}\right)} c^{2} x^{5} - 2 \, c^{2} d^{2} x - {\left(c^{2} d e - 3 \, e^{2} \log\left(c\right)\right)} x^{3} + 3 \, {\left(c^{2} e^{2} x^{5} + e^{2} x^{3}\right)} \log\left(x\right)}{3 \, {\left(c^{2} e^{2} x^{2} + e^{2}\right)} \sqrt{e x^{2} + d}}\,{d x}\right)}"," ",0,"1/3*(sqrt(e*x^2 + d)*x^2/e - 2*sqrt(e*x^2 + d)*d/e^2)*a + 1/3*b*((e^2*x^4 - d*e*x^2 - 2*d^2)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x^2 + d)*e^2) + 3*integrate(1/3*(c^2*e^2*x^5 - c^2*d*e*x^3 - 2*c^2*d^2*x)/((c^2*e^2*x^2 + e^2)*sqrt(c^2*x^2 + 1)*sqrt(e*x^2 + d) + (c^2*e^2*x^2 + e^2)*sqrt(e*x^2 + d)), x) - 3*integrate(1/3*((3*e^2*log(c) + e^2)*c^2*x^5 - 2*c^2*d^2*x - (c^2*d*e - 3*e^2*log(c))*x^3 + 3*(c^2*e^2*x^5 + e^2*x^3)*log(x))/((c^2*e^2*x^2 + e^2)*sqrt(e*x^2 + d)), x))","F",0
140,0,0,0,0.000000," ","integrate(x*(a+b*arccsch(c*x))/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","b {\left(\frac{\sqrt{e x^{2} + d} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{e} + \int \frac{c^{2} e x^{3} + c^{2} d x}{{\left(c^{2} e x^{2} + e\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x^{2} + d} + {\left(c^{2} e x^{2} + e\right)} \sqrt{e x^{2} + d}}\,{d x} - \int \frac{{\left(e \log\left(c\right) + e\right)} c^{2} x^{3} + {\left(c^{2} d + e \log\left(c\right)\right)} x + {\left(c^{2} e x^{3} + e x\right)} \log\left(x\right)}{{\left(c^{2} e x^{2} + e\right)} \sqrt{e x^{2} + d}}\,{d x}\right)} + \frac{\sqrt{e x^{2} + d} a}{e}"," ",0,"b*(sqrt(e*x^2 + d)*log(sqrt(c^2*x^2 + 1) + 1)/e + integrate((c^2*e*x^3 + c^2*d*x)/((c^2*e*x^2 + e)*sqrt(c^2*x^2 + 1)*sqrt(e*x^2 + d) + (c^2*e*x^2 + e)*sqrt(e*x^2 + d)), x) - integrate(((e*log(c) + e)*c^2*x^3 + (c^2*d + e*log(c))*x + (c^2*e*x^3 + e*x)*log(x))/((c^2*e*x^2 + e)*sqrt(e*x^2 + d)), x)) + sqrt(e*x^2 + d)*a/e","F",0
141,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{\sqrt{e x^{2} + d} x}\,{d x} - \frac{a \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{\sqrt{d}}"," ",0,"b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(sqrt(e*x^2 + d)*x), x) - a*arcsinh(d/(sqrt(d*e)*abs(x)))/sqrt(d)","F",0
142,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x^3/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{e \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{d^{\frac{3}{2}}} - \frac{\sqrt{e x^{2} + d}}{d x^{2}}\right)} + b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{\sqrt{e x^{2} + d} x^{3}}\,{d x}"," ",0,"1/2*a*(e*arcsinh(d/(sqrt(d*e)*abs(x)))/d^(3/2) - sqrt(e*x^2 + d)/(d*x^2)) + b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(sqrt(e*x^2 + d)*x^3), x)","F",0
143,0,0,0,0.000000," ","integrate(x^2*(a+b*arccsch(c*x))/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{\sqrt{e x^{2} + d} x}{e} - \frac{d \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{3}{2}}}\right)} + b \int \frac{x^{2} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{\sqrt{e x^{2} + d}}\,{d x}"," ",0,"1/2*a*(sqrt(e*x^2 + d)*x/e - d*arcsinh(e*x/sqrt(d*e))/e^(3/2)) + b*integrate(x^2*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/sqrt(e*x^2 + d), x)","F",0
144,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{\sqrt{e x^{2} + d}}\,{d x} + \frac{a \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{e}}"," ",0,"b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/sqrt(e*x^2 + d), x) + a*arcsinh(e*x/sqrt(d*e))/sqrt(e)","F",0
145,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x^2/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","-b {\left(\frac{\sqrt{e x^{2} + d} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{d x} + \int \frac{c^{2} e x^{2} + c^{2} d}{{\left(c^{2} d x^{2} + d\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x^{2} + d} + {\left(c^{2} d x^{2} + d\right)} \sqrt{e x^{2} + d}}\,{d x} + \int -\frac{c^{2} e x^{4} - {\left(d \log\left(c\right) - d\right)} c^{2} x^{2} - d \log\left(c\right) - {\left(c^{2} d x^{2} + d\right)} \log\left(x\right)}{{\left(c^{2} d x^{4} + d x^{2}\right)} \sqrt{e x^{2} + d}}\,{d x}\right)} - \frac{\sqrt{e x^{2} + d} a}{d x}"," ",0,"-b*(sqrt(e*x^2 + d)*log(sqrt(c^2*x^2 + 1) + 1)/(d*x) + integrate((c^2*e*x^2 + c^2*d)/((c^2*d*x^2 + d)*sqrt(c^2*x^2 + 1)*sqrt(e*x^2 + d) + (c^2*d*x^2 + d)*sqrt(e*x^2 + d)), x) + integrate(-(c^2*e*x^4 - (d*log(c) - d)*c^2*x^2 - d*log(c) - (c^2*d*x^2 + d)*log(x))/((c^2*d*x^4 + d*x^2)*sqrt(e*x^2 + d)), x)) - sqrt(e*x^2 + d)*a/(d*x)","F",0
146,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x^4/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, a {\left(\frac{2 \, \sqrt{e x^{2} + d} e}{d^{2} x} - \frac{\sqrt{e x^{2} + d}}{d x^{3}}\right)} + \frac{1}{3} \, b {\left(\frac{{\left(2 \, e^{2} x^{4} + d e x^{2} - d^{2}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x^{2} + d} d^{2} x^{3}} + 3 \, \int \frac{2 \, c^{2} e^{2} x^{4} + c^{2} d e x^{2} - c^{2} d^{2}}{3 \, {\left({\left(c^{2} d^{2} x^{4} + d^{2} x^{2}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x^{2} + d} + {\left(c^{2} d^{2} x^{4} + d^{2} x^{2}\right)} \sqrt{e x^{2} + d}\right)}}\,{d x} - 3 \, \int \frac{2 \, c^{2} e^{2} x^{6} + c^{2} d e x^{4} + {\left(3 \, d^{2} \log\left(c\right) - d^{2}\right)} c^{2} x^{2} + 3 \, d^{2} \log\left(c\right) + 3 \, {\left(c^{2} d^{2} x^{2} + d^{2}\right)} \log\left(x\right)}{3 \, {\left(c^{2} d^{2} x^{6} + d^{2} x^{4}\right)} \sqrt{e x^{2} + d}}\,{d x}\right)}"," ",0,"1/3*a*(2*sqrt(e*x^2 + d)*e/(d^2*x) - sqrt(e*x^2 + d)/(d*x^3)) + 1/3*b*((2*e^2*x^4 + d*e*x^2 - d^2)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x^2 + d)*d^2*x^3) + 3*integrate(1/3*(2*c^2*e^2*x^4 + c^2*d*e*x^2 - c^2*d^2)/((c^2*d^2*x^4 + d^2*x^2)*sqrt(c^2*x^2 + 1)*sqrt(e*x^2 + d) + (c^2*d^2*x^4 + d^2*x^2)*sqrt(e*x^2 + d)), x) - 3*integrate(1/3*(2*c^2*e^2*x^6 + c^2*d*e*x^4 + (3*d^2*log(c) - d^2)*c^2*x^2 + 3*d^2*log(c) + 3*(c^2*d^2*x^2 + d^2)*log(x))/((c^2*d^2*x^6 + d^2*x^4)*sqrt(e*x^2 + d)), x))","F",0
147,0,0,0,0.000000," ","integrate(x^5*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(\frac{x^{4}}{\sqrt{e x^{2} + d} e} - \frac{4 \, d x^{2}}{\sqrt{e x^{2} + d} e^{2}} - \frac{8 \, d^{2}}{\sqrt{e x^{2} + d} e^{3}}\right)} a + \frac{1}{3} \, b {\left(\frac{{\left(e^{2} x^{4} - 4 \, d e x^{2} - 8 \, d^{2}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x^{2} + d} e^{3}} + 3 \, \int \frac{c^{2} e^{2} x^{5} - 4 \, c^{2} d e x^{3} - 8 \, c^{2} d^{2} x}{3 \, {\left({\left(c^{2} e^{3} x^{2} + e^{3}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x^{2} + d} + {\left(c^{2} e^{3} x^{2} + e^{3}\right)} \sqrt{e x^{2} + d}\right)}}\,{d x} - 3 \, \int \frac{{\left(3 \, e^{3} \log\left(c\right) + e^{3}\right)} c^{2} x^{7} - 12 \, c^{2} d^{2} e x^{3} - 8 \, c^{2} d^{3} x - 3 \, {\left(c^{2} d e^{2} - e^{3} \log\left(c\right)\right)} x^{5} + 3 \, {\left(c^{2} e^{3} x^{7} + e^{3} x^{5}\right)} \log\left(x\right)}{3 \, {\left(c^{2} e^{4} x^{4} + d e^{3} + {\left(c^{2} d e^{3} + e^{4}\right)} x^{2}\right)} \sqrt{e x^{2} + d}}\,{d x}\right)}"," ",0,"1/3*(x^4/(sqrt(e*x^2 + d)*e) - 4*d*x^2/(sqrt(e*x^2 + d)*e^2) - 8*d^2/(sqrt(e*x^2 + d)*e^3))*a + 1/3*b*((e^2*x^4 - 4*d*e*x^2 - 8*d^2)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x^2 + d)*e^3) + 3*integrate(1/3*(c^2*e^2*x^5 - 4*c^2*d*e*x^3 - 8*c^2*d^2*x)/((c^2*e^3*x^2 + e^3)*sqrt(c^2*x^2 + 1)*sqrt(e*x^2 + d) + (c^2*e^3*x^2 + e^3)*sqrt(e*x^2 + d)), x) - 3*integrate(1/3*((3*e^3*log(c) + e^3)*c^2*x^7 - 12*c^2*d^2*e*x^3 - 8*c^2*d^3*x - 3*(c^2*d*e^2 - e^3*log(c))*x^5 + 3*(c^2*e^3*x^7 + e^3*x^5)*log(x))/((c^2*e^4*x^4 + d*e^3 + (c^2*d*e^3 + e^4)*x^2)*sqrt(e*x^2 + d)), x))","F",0
148,0,0,0,0.000000," ","integrate(x^3*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","a {\left(\frac{x^{2}}{\sqrt{e x^{2} + d} e} + \frac{2 \, d}{\sqrt{e x^{2} + d} e^{2}}\right)} + b {\left(\frac{{\left(e x^{2} + 2 \, d\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x^{2} + d} e^{2}} + \int \frac{c^{2} e x^{3} + 2 \, c^{2} d x}{{\left(c^{2} e^{2} x^{2} + e^{2}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x^{2} + d} + {\left(c^{2} e^{2} x^{2} + e^{2}\right)} \sqrt{e x^{2} + d}}\,{d x} - \int \frac{{\left(e^{2} \log\left(c\right) + e^{2}\right)} c^{2} x^{5} + 2 \, c^{2} d^{2} x + {\left(3 \, c^{2} d e + e^{2} \log\left(c\right)\right)} x^{3} + {\left(c^{2} e^{2} x^{5} + e^{2} x^{3}\right)} \log\left(x\right)}{{\left(c^{2} e^{3} x^{4} + d e^{2} + {\left(c^{2} d e^{2} + e^{3}\right)} x^{2}\right)} \sqrt{e x^{2} + d}}\,{d x}\right)}"," ",0,"a*(x^2/(sqrt(e*x^2 + d)*e) + 2*d/(sqrt(e*x^2 + d)*e^2)) + b*((e*x^2 + 2*d)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x^2 + d)*e^2) + integrate((c^2*e*x^3 + 2*c^2*d*x)/((c^2*e^2*x^2 + e^2)*sqrt(c^2*x^2 + 1)*sqrt(e*x^2 + d) + (c^2*e^2*x^2 + e^2)*sqrt(e*x^2 + d)), x) - integrate(((e^2*log(c) + e^2)*c^2*x^5 + 2*c^2*d^2*x + (3*c^2*d*e + e^2*log(c))*x^3 + (c^2*e^2*x^5 + e^2*x^3)*log(x))/((c^2*e^3*x^4 + d*e^2 + (c^2*d*e^2 + e^3)*x^2)*sqrt(e*x^2 + d)), x))","F",0
149,0,0,0,0.000000," ","integrate(x*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","-{\left(c^{2} \int \frac{x}{{\left(c^{2} e x^{2} + e\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x^{2} + d} + {\left(c^{2} e x^{2} + e\right)} \sqrt{e x^{2} + d}}\,{d x} + \frac{\log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x^{2} + d} e} + \int \frac{{\left(e \log\left(c\right) - e\right)} c^{2} x^{3} - {\left(c^{2} d - e \log\left(c\right)\right)} x + {\left(c^{2} e x^{3} + e x\right)} \log\left(x\right)}{{\left(c^{2} e^{2} x^{4} + {\left(c^{2} d e + e^{2}\right)} x^{2} + d e\right)} \sqrt{e x^{2} + d}}\,{d x}\right)} b - \frac{a}{\sqrt{e x^{2} + d} e}"," ",0,"-(c^2*integrate(x/((c^2*e*x^2 + e)*sqrt(c^2*x^2 + 1)*sqrt(e*x^2 + d) + (c^2*e*x^2 + e)*sqrt(e*x^2 + d)), x) + log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x^2 + d)*e) + integrate(((e*log(c) - e)*c^2*x^3 - (c^2*d - e*log(c))*x + (c^2*e*x^3 + e*x)*log(x))/((c^2*e^2*x^4 + (c^2*d*e + e^2)*x^2 + d*e)*sqrt(e*x^2 + d)), x))*b - a/(sqrt(e*x^2 + d)*e)","F",0
150,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","-a {\left(\frac{\operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{d^{\frac{3}{2}}} - \frac{1}{\sqrt{e x^{2} + d} d}\right)} + b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"-a*(arcsinh(d/(sqrt(d*e)*abs(x)))/d^(3/2) - 1/(sqrt(e*x^2 + d)*d)) + b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/((e*x^2 + d)^(3/2)*x), x)","F",0
151,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x^3/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{3 \, e \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{d^{\frac{5}{2}}} - \frac{3 \, e}{\sqrt{e x^{2} + d} d^{2}} - \frac{1}{\sqrt{e x^{2} + d} d x^{2}}\right)} + b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"1/2*a*(3*e*arcsinh(d/(sqrt(d*e)*abs(x)))/d^(5/2) - 3*e/(sqrt(e*x^2 + d)*d^2) - 1/(sqrt(e*x^2 + d)*d*x^2)) + b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/((e*x^2 + d)^(3/2)*x^3), x)","F",0
152,0,0,0,0.000000," ","integrate(x^4*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{x^{3}}{\sqrt{e x^{2} + d} e} + \frac{3 \, d x}{\sqrt{e x^{2} + d} e^{2}} - \frac{3 \, d \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{5}{2}}}\right)} a + b \int \frac{x^{4} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"1/2*(x^3/(sqrt(e*x^2 + d)*e) + 3*d*x/(sqrt(e*x^2 + d)*e^2) - 3*d*arcsinh(e*x/sqrt(d*e))/e^(5/2))*a + b*integrate(x^4*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e*x^2 + d)^(3/2), x)","F",0
153,0,0,0,0.000000," ","integrate(x^2*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","-a {\left(\frac{x}{\sqrt{e x^{2} + d} e} - \frac{\operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{3}{2}}}\right)} + b \int \frac{x^{2} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-a*(x/(sqrt(e*x^2 + d)*e) - arcsinh(e*x/sqrt(d*e))/e^(3/2)) + b*integrate(x^2*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e*x^2 + d)^(3/2), x)","F",0
154,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x} + \frac{a x}{\sqrt{e x^{2} + d} d}"," ",0,"b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e*x^2 + d)^(3/2), x) + a*x/(sqrt(e*x^2 + d)*d)","F",0
155,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x^2/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","-a {\left(\frac{2 \, e x}{\sqrt{e x^{2} + d} d^{2}} + \frac{1}{\sqrt{e x^{2} + d} d x}\right)} - b {\left(\frac{{\left(2 \, e x^{2} + d\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{e x^{2} + d} d^{2} x} + \int \frac{2 \, c^{2} e x^{2} + c^{2} d}{{\left(c^{2} d^{2} x^{2} + d^{2}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x^{2} + d} + {\left(c^{2} d^{2} x^{2} + d^{2}\right)} \sqrt{e x^{2} + d}}\,{d x} + \int -\frac{2 \, c^{2} e^{2} x^{6} + 3 \, c^{2} d e x^{4} - {\left(d^{2} \log\left(c\right) - d^{2}\right)} c^{2} x^{2} - d^{2} \log\left(c\right) - {\left(c^{2} d^{2} x^{2} + d^{2}\right)} \log\left(x\right)}{{\left(c^{2} d^{2} e x^{6} + d^{3} x^{2} + {\left(c^{2} d^{3} + d^{2} e\right)} x^{4}\right)} \sqrt{e x^{2} + d}}\,{d x}\right)}"," ",0,"-a*(2*e*x/(sqrt(e*x^2 + d)*d^2) + 1/(sqrt(e*x^2 + d)*d*x)) - b*((2*e*x^2 + d)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(e*x^2 + d)*d^2*x) + integrate((2*c^2*e*x^2 + c^2*d)/((c^2*d^2*x^2 + d^2)*sqrt(c^2*x^2 + 1)*sqrt(e*x^2 + d) + (c^2*d^2*x^2 + d^2)*sqrt(e*x^2 + d)), x) + integrate(-(2*c^2*e^2*x^6 + 3*c^2*d*e*x^4 - (d^2*log(c) - d^2)*c^2*x^2 - d^2*log(c) - (c^2*d^2*x^2 + d^2)*log(x))/((c^2*d^2*e*x^6 + d^3*x^2 + (c^2*d^3 + d^2*e)*x^4)*sqrt(e*x^2 + d)), x))","F",0
156,0,0,0,0.000000," ","integrate(x^5*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(\frac{3 \, x^{4}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} + \frac{12 \, d x^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{2}} + \frac{8 \, d^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{3}}\right)} a + \frac{1}{3} \, b {\left(\frac{{\left(3 \, e^{2} x^{4} + 12 \, d e x^{2} + 8 \, d^{2}\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{{\left(e^{4} x^{2} + d e^{3}\right)} \sqrt{e x^{2} + d}} + 3 \, \int \frac{3 \, c^{2} e^{2} x^{5} + 12 \, c^{2} d e x^{3} + 8 \, c^{2} d^{2} x}{3 \, {\left({\left(c^{2} e^{4} x^{4} + d e^{3} + {\left(c^{2} d e^{3} + e^{4}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{e x^{2} + d} + {\left(c^{2} e^{4} x^{4} + d e^{3} + {\left(c^{2} d e^{3} + e^{4}\right)} x^{2}\right)} \sqrt{e x^{2} + d}\right)}}\,{d x} - 3 \, \int \frac{3 \, {\left(e^{3} \log\left(c\right) + e^{3}\right)} c^{2} x^{7} + 20 \, c^{2} d^{2} e x^{3} + 8 \, c^{2} d^{3} x + 3 \, {\left(5 \, c^{2} d e^{2} + e^{3} \log\left(c\right)\right)} x^{5} + 3 \, {\left(c^{2} e^{3} x^{7} + e^{3} x^{5}\right)} \log\left(x\right)}{3 \, {\left(c^{2} e^{5} x^{6} + d^{2} e^{3} + {\left(2 \, c^{2} d e^{4} + e^{5}\right)} x^{4} + {\left(c^{2} d^{2} e^{3} + 2 \, d e^{4}\right)} x^{2}\right)} \sqrt{e x^{2} + d}}\,{d x}\right)}"," ",0,"1/3*(3*x^4/((e*x^2 + d)^(3/2)*e) + 12*d*x^2/((e*x^2 + d)^(3/2)*e^2) + 8*d^2/((e*x^2 + d)^(3/2)*e^3))*a + 1/3*b*((3*e^2*x^4 + 12*d*e*x^2 + 8*d^2)*log(sqrt(c^2*x^2 + 1) + 1)/((e^4*x^2 + d*e^3)*sqrt(e*x^2 + d)) + 3*integrate(1/3*(3*c^2*e^2*x^5 + 12*c^2*d*e*x^3 + 8*c^2*d^2*x)/((c^2*e^4*x^4 + d*e^3 + (c^2*d*e^3 + e^4)*x^2)*sqrt(c^2*x^2 + 1)*sqrt(e*x^2 + d) + (c^2*e^4*x^4 + d*e^3 + (c^2*d*e^3 + e^4)*x^2)*sqrt(e*x^2 + d)), x) - 3*integrate(1/3*(3*(e^3*log(c) + e^3)*c^2*x^7 + 20*c^2*d^2*e*x^3 + 8*c^2*d^3*x + 3*(5*c^2*d*e^2 + e^3*log(c))*x^5 + 3*(c^2*e^3*x^7 + e^3*x^5)*log(x))/((c^2*e^5*x^6 + d^2*e^3 + (2*c^2*d*e^4 + e^5)*x^4 + (c^2*d^2*e^3 + 2*d*e^4)*x^2)*sqrt(e*x^2 + d)), x))","F",0
157,0,0,0,0.000000," ","integrate(x^3*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, a {\left(\frac{3 \, x^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} + \frac{2 \, d}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{2}}\right)} + b \int \frac{x^{3} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-1/3*a*(3*x^2/((e*x^2 + d)^(3/2)*e) + 2*d/((e*x^2 + d)^(3/2)*e^2)) + b*integrate(x^3*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e*x^2 + d)^(5/2), x)","F",0
158,0,0,0,0.000000," ","integrate(x*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","b \int \frac{x \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x} - \frac{a}{3 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} e}"," ",0,"b*integrate(x*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e*x^2 + d)^(5/2), x) - 1/3*a/((e*x^2 + d)^(3/2)*e)","F",0
159,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, a {\left(\frac{3 \, \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{d^{\frac{5}{2}}} - \frac{3}{\sqrt{e x^{2} + d} d^{2}} - \frac{1}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} d}\right)} + b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{{\left(e x^{2} + d\right)}^{\frac{5}{2}} x}\,{d x}"," ",0,"-1/3*a*(3*arcsinh(d/(sqrt(d*e)*abs(x)))/d^(5/2) - 3/(sqrt(e*x^2 + d)*d^2) - 1/((e*x^2 + d)^(3/2)*d)) + b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/((e*x^2 + d)^(5/2)*x), x)","F",0
160,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x^3/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, a {\left(\frac{15 \, e \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{d^{\frac{7}{2}}} - \frac{15 \, e}{\sqrt{e x^{2} + d} d^{3}} - \frac{5 \, e}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{2}} - \frac{3}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} d x^{2}}\right)} + b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{{\left(e x^{2} + d\right)}^{\frac{5}{2}} x^{3}}\,{d x}"," ",0,"1/6*a*(15*e*arcsinh(d/(sqrt(d*e)*abs(x)))/d^(7/2) - 15*e/(sqrt(e*x^2 + d)*d^3) - 5*e/((e*x^2 + d)^(3/2)*d^2) - 3/((e*x^2 + d)^(3/2)*d*x^2)) + b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/((e*x^2 + d)^(5/2)*x^3), x)","F",0
161,0,0,0,0.000000," ","integrate(x^6*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(\frac{3 \, x^{5}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} + \frac{5 \, d x {\left(\frac{3 \, x^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} + \frac{2 \, d}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{2}}\right)}}{e} + \frac{5 \, d x}{\sqrt{e x^{2} + d} e^{3}} - \frac{15 \, d \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{7}{2}}}\right)} a + b \int \frac{x^{6} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"1/6*(3*x^5/((e*x^2 + d)^(3/2)*e) + 5*d*x*(3*x^2/((e*x^2 + d)^(3/2)*e) + 2*d/((e*x^2 + d)^(3/2)*e^2))/e + 5*d*x/(sqrt(e*x^2 + d)*e^3) - 15*d*arcsinh(e*x/sqrt(d*e))/e^(7/2))*a + b*integrate(x^6*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e*x^2 + d)^(5/2), x)","F",0
162,0,0,0,0.000000," ","integrate(x^4*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(x {\left(\frac{3 \, x^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} + \frac{2 \, d}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{2}}\right)} + \frac{x}{\sqrt{e x^{2} + d} e^{2}} - \frac{3 \, \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{5}{2}}}\right)} a + b \int \frac{x^{4} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-1/3*(x*(3*x^2/((e*x^2 + d)^(3/2)*e) + 2*d/((e*x^2 + d)^(3/2)*e^2)) + x/(sqrt(e*x^2 + d)*e^2) - 3*arcsinh(e*x/sqrt(d*e))/e^(5/2))*a + b*integrate(x^4*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e*x^2 + d)^(5/2), x)","F",0
163,0,0,0,0.000000," ","integrate(x^2*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, a {\left(\frac{x}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} - \frac{x}{\sqrt{e x^{2} + d} d e}\right)} + b \int \frac{x^{2} \log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"-1/3*a*(x/((e*x^2 + d)^(3/2)*e) - x/(sqrt(e*x^2 + d)*d*e)) + b*integrate(x^2*log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e*x^2 + d)^(5/2), x)","F",0
164,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","\frac{1}{3} \, a {\left(\frac{2 \, x}{\sqrt{e x^{2} + d} d^{2}} + \frac{x}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} d}\right)} + b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"1/3*a*(2*x/(sqrt(e*x^2 + d)*d^2) + x/((e*x^2 + d)^(3/2)*d)) + b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(e*x^2 + d)^(5/2), x)","F",0
165,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)^3*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{a e^{3} f^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, a d e^{2} f^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, a d^{2} e f^{m} x^{3} x^{m}}{m + 3} + \frac{\left(f x\right)^{m + 1} a d^{3}}{f {\left(m + 1\right)}} - \frac{{\left({\left(m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} b e^{3} f^{m} x^{7} + 3 \, {\left(m^{3} + 11 \, m^{2} + 31 \, m + 21\right)} b d e^{2} f^{m} x^{5} + 3 \, {\left(m^{3} + 13 \, m^{2} + 47 \, m + 35\right)} b d^{2} e f^{m} x^{3} + {\left(m^{3} + 15 \, m^{2} + 71 \, m + 105\right)} b d^{3} f^{m} x\right)} x^{m} \log\left(x\right) - {\left({\left(m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} b e^{3} f^{m} x^{7} + 3 \, {\left(m^{3} + 11 \, m^{2} + 31 \, m + 21\right)} b d e^{2} f^{m} x^{5} + 3 \, {\left(m^{3} + 13 \, m^{2} + 47 \, m + 35\right)} b d^{2} e f^{m} x^{3} + {\left(m^{3} + 15 \, m^{2} + 71 \, m + 105\right)} b d^{3} f^{m} x\right)} x^{m} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105} + \int \frac{{\left({\left(m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} b c^{2} e^{3} f^{m} x^{8} + 3 \, {\left(m^{3} + 11 \, m^{2} + 31 \, m + 21\right)} b c^{2} d e^{2} f^{m} x^{6} + 3 \, {\left(m^{3} + 13 \, m^{2} + 47 \, m + 35\right)} b c^{2} d^{2} e f^{m} x^{4} + {\left(m^{3} + 15 \, m^{2} + 71 \, m + 105\right)} b c^{2} d^{3} f^{m} x^{2}\right)} x^{m}}{{\left(m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105\right)} c^{2} x^{2} + m^{4} + 16 \, m^{3} + 86 \, m^{2} + {\left({\left(m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105\right)} c^{2} x^{2} + m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105\right)} \sqrt{c^{2} x^{2} + 1} + 176 \, m + 105}\,{d x} - \int \frac{{\left({\left(m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105\right)} b c^{2} e^{3} f^{m} x^{8} \log\left(c\right) + {\left(3 \, {\left(m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105\right)} c^{2} d e^{2} f^{m} \log\left(c\right) + {\left(m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105\right)} e^{3} f^{m} \log\left(c\right) - {\left(m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} e^{3} f^{m}\right)} b x^{6} + 3 \, {\left({\left(m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105\right)} c^{2} d^{2} e f^{m} \log\left(c\right) + {\left(m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105\right)} d e^{2} f^{m} \log\left(c\right) - {\left(m^{3} + 11 \, m^{2} + 31 \, m + 21\right)} d e^{2} f^{m}\right)} b x^{4} + {\left({\left(m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105\right)} c^{2} d^{3} f^{m} \log\left(c\right) + 3 \, {\left(m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105\right)} d^{2} e f^{m} \log\left(c\right) - 3 \, {\left(m^{3} + 13 \, m^{2} + 47 \, m + 35\right)} d^{2} e f^{m}\right)} b x^{2} + {\left({\left(m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105\right)} d^{3} f^{m} \log\left(c\right) - {\left(m^{3} + 15 \, m^{2} + 71 \, m + 105\right)} d^{3} f^{m}\right)} b\right)} x^{m}}{{\left(m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105\right)} c^{2} x^{2} + m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105}\,{d x}"," ",0,"a*e^3*f^m*x^7*x^m/(m + 7) + 3*a*d*e^2*f^m*x^5*x^m/(m + 5) + 3*a*d^2*e*f^m*x^3*x^m/(m + 3) + (f*x)^(m + 1)*a*d^3/(f*(m + 1)) - (((m^3 + 9*m^2 + 23*m + 15)*b*e^3*f^m*x^7 + 3*(m^3 + 11*m^2 + 31*m + 21)*b*d*e^2*f^m*x^5 + 3*(m^3 + 13*m^2 + 47*m + 35)*b*d^2*e*f^m*x^3 + (m^3 + 15*m^2 + 71*m + 105)*b*d^3*f^m*x)*x^m*log(x) - ((m^3 + 9*m^2 + 23*m + 15)*b*e^3*f^m*x^7 + 3*(m^3 + 11*m^2 + 31*m + 21)*b*d*e^2*f^m*x^5 + 3*(m^3 + 13*m^2 + 47*m + 35)*b*d^2*e*f^m*x^3 + (m^3 + 15*m^2 + 71*m + 105)*b*d^3*f^m*x)*x^m*log(sqrt(c^2*x^2 + 1) + 1))/(m^4 + 16*m^3 + 86*m^2 + 176*m + 105) + integrate(((m^3 + 9*m^2 + 23*m + 15)*b*c^2*e^3*f^m*x^8 + 3*(m^3 + 11*m^2 + 31*m + 21)*b*c^2*d*e^2*f^m*x^6 + 3*(m^3 + 13*m^2 + 47*m + 35)*b*c^2*d^2*e*f^m*x^4 + (m^3 + 15*m^2 + 71*m + 105)*b*c^2*d^3*f^m*x^2)*x^m/((m^4 + 16*m^3 + 86*m^2 + 176*m + 105)*c^2*x^2 + m^4 + 16*m^3 + 86*m^2 + ((m^4 + 16*m^3 + 86*m^2 + 176*m + 105)*c^2*x^2 + m^4 + 16*m^3 + 86*m^2 + 176*m + 105)*sqrt(c^2*x^2 + 1) + 176*m + 105), x) - integrate(((m^4 + 16*m^3 + 86*m^2 + 176*m + 105)*b*c^2*e^3*f^m*x^8*log(c) + (3*(m^4 + 16*m^3 + 86*m^2 + 176*m + 105)*c^2*d*e^2*f^m*log(c) + (m^4 + 16*m^3 + 86*m^2 + 176*m + 105)*e^3*f^m*log(c) - (m^3 + 9*m^2 + 23*m + 15)*e^3*f^m)*b*x^6 + 3*((m^4 + 16*m^3 + 86*m^2 + 176*m + 105)*c^2*d^2*e*f^m*log(c) + (m^4 + 16*m^3 + 86*m^2 + 176*m + 105)*d*e^2*f^m*log(c) - (m^3 + 11*m^2 + 31*m + 21)*d*e^2*f^m)*b*x^4 + ((m^4 + 16*m^3 + 86*m^2 + 176*m + 105)*c^2*d^3*f^m*log(c) + 3*(m^4 + 16*m^3 + 86*m^2 + 176*m + 105)*d^2*e*f^m*log(c) - 3*(m^3 + 13*m^2 + 47*m + 35)*d^2*e*f^m)*b*x^2 + ((m^4 + 16*m^3 + 86*m^2 + 176*m + 105)*d^3*f^m*log(c) - (m^3 + 15*m^2 + 71*m + 105)*d^3*f^m)*b)*x^m/((m^4 + 16*m^3 + 86*m^2 + 176*m + 105)*c^2*x^2 + m^4 + 16*m^3 + 86*m^2 + 176*m + 105), x)","F",0
166,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)^2*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{a e^{2} f^{m} x^{5} x^{m}}{m + 5} + \frac{2 \, a d e f^{m} x^{3} x^{m}}{m + 3} + \frac{\left(f x\right)^{m + 1} a d^{2}}{f {\left(m + 1\right)}} - \frac{{\left({\left(m^{2} + 4 \, m + 3\right)} b e^{2} f^{m} x^{5} + 2 \, {\left(m^{2} + 6 \, m + 5\right)} b d e f^{m} x^{3} + {\left(m^{2} + 8 \, m + 15\right)} b d^{2} f^{m} x\right)} x^{m} \log\left(x\right) - {\left({\left(m^{2} + 4 \, m + 3\right)} b e^{2} f^{m} x^{5} + 2 \, {\left(m^{2} + 6 \, m + 5\right)} b d e f^{m} x^{3} + {\left(m^{2} + 8 \, m + 15\right)} b d^{2} f^{m} x\right)} x^{m} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{m^{3} + 9 \, m^{2} + 23 \, m + 15} + \int \frac{{\left({\left(m^{2} + 4 \, m + 3\right)} b c^{2} e^{2} f^{m} x^{6} + 2 \, {\left(m^{2} + 6 \, m + 5\right)} b c^{2} d e f^{m} x^{4} + {\left(m^{2} + 8 \, m + 15\right)} b c^{2} d^{2} f^{m} x^{2}\right)} x^{m}}{{\left(m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} c^{2} x^{2} + m^{3} + 9 \, m^{2} + {\left({\left(m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} c^{2} x^{2} + m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} \sqrt{c^{2} x^{2} + 1} + 23 \, m + 15}\,{d x} - \int \frac{{\left({\left(m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} b c^{2} e^{2} f^{m} x^{6} \log\left(c\right) + {\left(2 \, {\left(m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} c^{2} d e f^{m} \log\left(c\right) + {\left(m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} e^{2} f^{m} \log\left(c\right) - {\left(m^{2} + 4 \, m + 3\right)} e^{2} f^{m}\right)} b x^{4} + {\left({\left(m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} c^{2} d^{2} f^{m} \log\left(c\right) + 2 \, {\left(m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} d e f^{m} \log\left(c\right) - 2 \, {\left(m^{2} + 6 \, m + 5\right)} d e f^{m}\right)} b x^{2} + {\left({\left(m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} d^{2} f^{m} \log\left(c\right) - {\left(m^{2} + 8 \, m + 15\right)} d^{2} f^{m}\right)} b\right)} x^{m}}{{\left(m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} c^{2} x^{2} + m^{3} + 9 \, m^{2} + 23 \, m + 15}\,{d x}"," ",0,"a*e^2*f^m*x^5*x^m/(m + 5) + 2*a*d*e*f^m*x^3*x^m/(m + 3) + (f*x)^(m + 1)*a*d^2/(f*(m + 1)) - (((m^2 + 4*m + 3)*b*e^2*f^m*x^5 + 2*(m^2 + 6*m + 5)*b*d*e*f^m*x^3 + (m^2 + 8*m + 15)*b*d^2*f^m*x)*x^m*log(x) - ((m^2 + 4*m + 3)*b*e^2*f^m*x^5 + 2*(m^2 + 6*m + 5)*b*d*e*f^m*x^3 + (m^2 + 8*m + 15)*b*d^2*f^m*x)*x^m*log(sqrt(c^2*x^2 + 1) + 1))/(m^3 + 9*m^2 + 23*m + 15) + integrate(((m^2 + 4*m + 3)*b*c^2*e^2*f^m*x^6 + 2*(m^2 + 6*m + 5)*b*c^2*d*e*f^m*x^4 + (m^2 + 8*m + 15)*b*c^2*d^2*f^m*x^2)*x^m/((m^3 + 9*m^2 + 23*m + 15)*c^2*x^2 + m^3 + 9*m^2 + ((m^3 + 9*m^2 + 23*m + 15)*c^2*x^2 + m^3 + 9*m^2 + 23*m + 15)*sqrt(c^2*x^2 + 1) + 23*m + 15), x) - integrate(((m^3 + 9*m^2 + 23*m + 15)*b*c^2*e^2*f^m*x^6*log(c) + (2*(m^3 + 9*m^2 + 23*m + 15)*c^2*d*e*f^m*log(c) + (m^3 + 9*m^2 + 23*m + 15)*e^2*f^m*log(c) - (m^2 + 4*m + 3)*e^2*f^m)*b*x^4 + ((m^3 + 9*m^2 + 23*m + 15)*c^2*d^2*f^m*log(c) + 2*(m^3 + 9*m^2 + 23*m + 15)*d*e*f^m*log(c) - 2*(m^2 + 6*m + 5)*d*e*f^m)*b*x^2 + ((m^3 + 9*m^2 + 23*m + 15)*d^2*f^m*log(c) - (m^2 + 8*m + 15)*d^2*f^m)*b)*x^m/((m^3 + 9*m^2 + 23*m + 15)*c^2*x^2 + m^3 + 9*m^2 + 23*m + 15), x)","F",0
167,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\frac{a e f^{m} x^{3} x^{m}}{m + 3} + \frac{\left(f x\right)^{m + 1} a d}{f {\left(m + 1\right)}} - \frac{{\left(b e f^{m} {\left(m + 1\right)} x^{3} + b d f^{m} {\left(m + 3\right)} x\right)} x^{m} \log\left(x\right) - {\left(b e f^{m} {\left(m + 1\right)} x^{3} + b d f^{m} {\left(m + 3\right)} x\right)} x^{m} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{m^{2} + 4 \, m + 3} + \int \frac{{\left(b c^{2} e f^{m} {\left(m + 1\right)} x^{4} + b c^{2} d f^{m} {\left(m + 3\right)} x^{2}\right)} x^{m}}{{\left(m^{2} + 4 \, m + 3\right)} c^{2} x^{2} + m^{2} + {\left({\left(m^{2} + 4 \, m + 3\right)} c^{2} x^{2} + m^{2} + 4 \, m + 3\right)} \sqrt{c^{2} x^{2} + 1} + 4 \, m + 3}\,{d x} - \int \frac{{\left({\left(m^{2} + 4 \, m + 3\right)} b c^{2} e f^{m} x^{4} \log\left(c\right) + {\left({\left(m^{2} + 4 \, m + 3\right)} c^{2} d f^{m} \log\left(c\right) + {\left(m^{2} + 4 \, m + 3\right)} e f^{m} \log\left(c\right) - e f^{m} {\left(m + 1\right)}\right)} b x^{2} + {\left({\left(m^{2} + 4 \, m + 3\right)} d f^{m} \log\left(c\right) - d f^{m} {\left(m + 3\right)}\right)} b\right)} x^{m}}{{\left(m^{2} + 4 \, m + 3\right)} c^{2} x^{2} + m^{2} + 4 \, m + 3}\,{d x}"," ",0,"a*e*f^m*x^3*x^m/(m + 3) + (f*x)^(m + 1)*a*d/(f*(m + 1)) - ((b*e*f^m*(m + 1)*x^3 + b*d*f^m*(m + 3)*x)*x^m*log(x) - (b*e*f^m*(m + 1)*x^3 + b*d*f^m*(m + 3)*x)*x^m*log(sqrt(c^2*x^2 + 1) + 1))/(m^2 + 4*m + 3) + integrate((b*c^2*e*f^m*(m + 1)*x^4 + b*c^2*d*f^m*(m + 3)*x^2)*x^m/((m^2 + 4*m + 3)*c^2*x^2 + m^2 + ((m^2 + 4*m + 3)*c^2*x^2 + m^2 + 4*m + 3)*sqrt(c^2*x^2 + 1) + 4*m + 3), x) - integrate(((m^2 + 4*m + 3)*b*c^2*e*f^m*x^4*log(c) + ((m^2 + 4*m + 3)*c^2*d*f^m*log(c) + (m^2 + 4*m + 3)*e*f^m*log(c) - e*f^m*(m + 1))*b*x^2 + ((m^2 + 4*m + 3)*d*f^m*log(c) - d*f^m*(m + 3))*b)*x^m/((m^2 + 4*m + 3)*c^2*x^2 + m^2 + 4*m + 3), x)","F",0
168,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*arccsch(c*x))/(e*x^2+d),x, algorithm=""maxima"")","\int \frac{{\left(b \operatorname{arcsch}\left(c x\right) + a\right)} \left(f x\right)^{m}}{e x^{2} + d}\,{d x}"," ",0,"integrate((b*arccsch(c*x) + a)*(f*x)^m/(e*x^2 + d), x)","F",0
169,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*arccsch(c*x))/(e*x^2+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(b \operatorname{arcsch}\left(c x\right) + a\right)} \left(f x\right)^{m}}{{\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*arccsch(c*x) + a)*(f*x)^m/(e*x^2 + d)^2, x)","F",0
170,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x)),x, algorithm=""maxima"")","\int {\left(e x^{2} + d\right)}^{\frac{3}{2}} {\left(b \operatorname{arcsch}\left(c x\right) + a\right)} \left(f x\right)^{m}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*(b*arccsch(c*x) + a)*(f*x)^m, x)","F",0
171,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*arccsch(c*x))*(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\int \sqrt{e x^{2} + d} {\left(b \operatorname{arcsch}\left(c x\right) + a\right)} \left(f x\right)^{m}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*(b*arccsch(c*x) + a)*(f*x)^m, x)","F",0
172,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*arccsch(c*x))/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b \operatorname{arcsch}\left(c x\right) + a\right)} \left(f x\right)^{m}}{\sqrt{e x^{2} + d}}\,{d x}"," ",0,"integrate((b*arccsch(c*x) + a)*(f*x)^m/sqrt(e*x^2 + d), x)","F",0
173,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(b \operatorname{arcsch}\left(c x\right) + a\right)} \left(f x\right)^{m}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arccsch(c*x) + a)*(f*x)^m/(e*x^2 + d)^(3/2), x)","F",0
174,0,0,0,0.000000," ","integrate(x^11*(a+b*arccsch(c*x))/(-c^4*x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{30} \, a {\left(\frac{3 \, {\left(-c^{4} x^{4} + 1\right)}^{\frac{5}{2}}}{c^{12}} - \frac{10 \, {\left(-c^{4} x^{4} + 1\right)}^{\frac{3}{2}}}{c^{12}} + \frac{15 \, \sqrt{-c^{4} x^{4} + 1}}{c^{12}}\right)} + \frac{1}{30} \, b {\left(\frac{{\left(3 \, c^{12} x^{12} + c^{8} x^{8} + 4 \, c^{4} x^{4} - 8\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{c^{2} x^{2} + 1} \sqrt{c x + 1} \sqrt{-c x + 1} c^{12}} - 30 \, \int {\left(x^{11} \log\left(c\right) + x^{11} \log\left(x\right)\right)} e^{\left(-\frac{1}{2} \, \log\left(c^{2} x^{2} + 1\right) - \frac{1}{2} \, \log\left(c x + 1\right) - \frac{1}{2} \, \log\left(-c x + 1\right)\right)}\,{d x} - 30 \, \int \frac{3 \, c^{10} x^{11} - 3 \, c^{8} x^{9} + 4 \, c^{6} x^{7} - 4 \, c^{4} x^{5} + 8 \, c^{2} x^{3} - 8 \, x}{30 \, {\left(\sqrt{c^{2} x^{2} + 1} \sqrt{c x + 1} \sqrt{-c x + 1} c^{10} + \sqrt{c x + 1} \sqrt{-c x + 1} c^{10}\right)}}\,{d x}\right)}"," ",0,"-1/30*a*(3*(-c^4*x^4 + 1)^(5/2)/c^12 - 10*(-c^4*x^4 + 1)^(3/2)/c^12 + 15*sqrt(-c^4*x^4 + 1)/c^12) + 1/30*b*((3*c^12*x^12 + c^8*x^8 + 4*c^4*x^4 - 8)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*sqrt(c*x + 1)*sqrt(-c*x + 1)*c^12) - 30*integrate((x^11*log(c) + x^11*log(x))*e^(-1/2*log(c^2*x^2 + 1) - 1/2*log(c*x + 1) - 1/2*log(-c*x + 1)), x) - 30*integrate(1/30*(3*c^10*x^11 - 3*c^8*x^9 + 4*c^6*x^7 - 4*c^4*x^5 + 8*c^2*x^3 - 8*x)/(sqrt(c^2*x^2 + 1)*sqrt(c*x + 1)*sqrt(-c*x + 1)*c^10 + sqrt(c*x + 1)*sqrt(-c*x + 1)*c^10), x))","F",0
175,0,0,0,0.000000," ","integrate(x^7*(a+b*arccsch(c*x))/(-c^4*x^4+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{6} \, a {\left(\frac{{\left(-c^{4} x^{4} + 1\right)}^{\frac{3}{2}}}{c^{8}} - \frac{3 \, \sqrt{-c^{4} x^{4} + 1}}{c^{8}}\right)} + \frac{1}{6} \, b {\left(\frac{{\left(c^{8} x^{8} + c^{4} x^{4} - 2\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{c^{2} x^{2} + 1} \sqrt{c x + 1} \sqrt{-c x + 1} c^{8}} - 6 \, \int {\left(x^{7} \log\left(c\right) + x^{7} \log\left(x\right)\right)} e^{\left(-\frac{1}{2} \, \log\left(c^{2} x^{2} + 1\right) - \frac{1}{2} \, \log\left(c x + 1\right) - \frac{1}{2} \, \log\left(-c x + 1\right)\right)}\,{d x} - 6 \, \int \frac{c^{6} x^{7} - c^{4} x^{5} + 2 \, c^{2} x^{3} - 2 \, x}{6 \, {\left(\sqrt{c^{2} x^{2} + 1} \sqrt{c x + 1} \sqrt{-c x + 1} c^{6} + \sqrt{c x + 1} \sqrt{-c x + 1} c^{6}\right)}}\,{d x}\right)}"," ",0,"1/6*a*((-c^4*x^4 + 1)^(3/2)/c^8 - 3*sqrt(-c^4*x^4 + 1)/c^8) + 1/6*b*((c^8*x^8 + c^4*x^4 - 2)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*sqrt(c*x + 1)*sqrt(-c*x + 1)*c^8) - 6*integrate((x^7*log(c) + x^7*log(x))*e^(-1/2*log(c^2*x^2 + 1) - 1/2*log(c*x + 1) - 1/2*log(-c*x + 1)), x) - 6*integrate(1/6*(c^6*x^7 - c^4*x^5 + 2*c^2*x^3 - 2*x)/(sqrt(c^2*x^2 + 1)*sqrt(c*x + 1)*sqrt(-c*x + 1)*c^6 + sqrt(c*x + 1)*sqrt(-c*x + 1)*c^6), x))","F",0
176,0,0,0,0.000000," ","integrate(x^3*(a+b*arccsch(c*x))/(-c^4*x^4+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, b {\left(\frac{{\left(c^{4} x^{4} - 1\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{\sqrt{c^{2} x^{2} + 1} \sqrt{c x + 1} \sqrt{-c x + 1} c^{4}} - 2 \, \int {\left(x^{3} \log\left(c\right) + x^{3} \log\left(x\right)\right)} e^{\left(-\frac{1}{2} \, \log\left(c^{2} x^{2} + 1\right) - \frac{1}{2} \, \log\left(c x + 1\right) - \frac{1}{2} \, \log\left(-c x + 1\right)\right)}\,{d x} - 2 \, \int \frac{c^{2} x^{3} - x}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} \sqrt{c x + 1} \sqrt{-c x + 1} c^{2} + \sqrt{c x + 1} \sqrt{-c x + 1} c^{2}\right)}}\,{d x}\right)} - \frac{\sqrt{-c^{4} x^{4} + 1} a}{2 \, c^{4}}"," ",0,"1/2*b*((c^4*x^4 - 1)*log(sqrt(c^2*x^2 + 1) + 1)/(sqrt(c^2*x^2 + 1)*sqrt(c*x + 1)*sqrt(-c*x + 1)*c^4) - 2*integrate((x^3*log(c) + x^3*log(x))*e^(-1/2*log(c^2*x^2 + 1) - 1/2*log(c*x + 1) - 1/2*log(-c*x + 1)), x) - 2*integrate(1/2*(c^2*x^3 - x)/(sqrt(c^2*x^2 + 1)*sqrt(c*x + 1)*sqrt(-c*x + 1)*c^2 + sqrt(c*x + 1)*sqrt(-c*x + 1)*c^2), x)) - 1/2*sqrt(-c^4*x^4 + 1)*a/c^4","F",0
177,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x/(-c^4*x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, a {\left(\log\left(\sqrt{-c^{4} x^{4} + 1} + 1\right) - \log\left(\sqrt{-c^{4} x^{4} + 1} - 1\right)\right)} + b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{\sqrt{-{\left(c^{2} x^{2} + 1\right)} {\left(c x + 1\right)} {\left(c x - 1\right)}} x}\,{d x}"," ",0,"-1/4*a*(log(sqrt(-c^4*x^4 + 1) + 1) - log(sqrt(-c^4*x^4 + 1) - 1)) + b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(sqrt(-(c^2*x^2 + 1)*(c*x + 1)*(c*x - 1))*x), x)","F",0
178,0,0,0,0.000000," ","integrate((a+b*arccsch(c*x))/x^5/(-c^4*x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(c^{4} \log\left(\sqrt{-c^{4} x^{4} + 1} + 1\right) - c^{4} \log\left(\sqrt{-c^{4} x^{4} + 1} - 1\right) + \frac{2 \, \sqrt{-c^{4} x^{4} + 1}}{x^{4}}\right)} a + b \int \frac{\log\left(\sqrt{\frac{1}{c^{2} x^{2}} + 1} + \frac{1}{c x}\right)}{\sqrt{-{\left(c^{2} x^{2} + 1\right)} {\left(c x + 1\right)} {\left(c x - 1\right)}} x^{5}}\,{d x}"," ",0,"-1/8*(c^4*log(sqrt(-c^4*x^4 + 1) + 1) - c^4*log(sqrt(-c^4*x^4 + 1) - 1) + 2*sqrt(-c^4*x^4 + 1)/x^4)*a + b*integrate(log(sqrt(1/(c^2*x^2) + 1) + 1/(c*x))/(sqrt(-(c^2*x^2 + 1)*(c*x + 1)*(c*x - 1))*x^5), x)","F",0
