1,1,113,0,0.477274," ","integrate(x^4*(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","-\frac{525 \, a c^{7} d x^{7} - 735 \, a c^{5} d x^{5} + 105 \, {\left(5 \, b c^{7} d x^{7} - 7 \, b c^{5} d x^{5}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(75 \, b c^{6} d x^{6} - 57 \, b c^{4} d x^{4} - 76 \, b c^{2} d x^{2} - 152 \, b d\right)} \sqrt{c^{2} x^{2} - 1}}{3675 \, c^{5}}"," ",0,"-1/3675*(525*a*c^7*d*x^7 - 735*a*c^5*d*x^5 + 105*(5*b*c^7*d*x^7 - 7*b*c^5*d*x^5)*log(c*x + sqrt(c^2*x^2 - 1)) - (75*b*c^6*d*x^6 - 57*b*c^4*d*x^4 - 76*b*c^2*d*x^2 - 152*b*d)*sqrt(c^2*x^2 - 1))/c^5","A",0
2,1,108,0,0.418242," ","integrate(x^3*(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","-\frac{12 \, a c^{6} d x^{6} - 18 \, a c^{4} d x^{4} + 3 \, {\left(4 \, b c^{6} d x^{6} - 6 \, b c^{4} d x^{4} + b d\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(2 \, b c^{5} d x^{5} - 2 \, b c^{3} d x^{3} - 3 \, b c d x\right)} \sqrt{c^{2} x^{2} - 1}}{72 \, c^{4}}"," ",0,"-1/72*(12*a*c^6*d*x^6 - 18*a*c^4*d*x^4 + 3*(4*b*c^6*d*x^6 - 6*b*c^4*d*x^4 + b*d)*log(c*x + sqrt(c^2*x^2 - 1)) - (2*b*c^5*d*x^5 - 2*b*c^3*d*x^3 - 3*b*c*d*x)*sqrt(c^2*x^2 - 1))/c^4","A",0
3,1,103,0,0.490265," ","integrate(x^2*(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","-\frac{45 \, a c^{5} d x^{5} - 75 \, a c^{3} d x^{3} + 15 \, {\left(3 \, b c^{5} d x^{5} - 5 \, b c^{3} d x^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(9 \, b c^{4} d x^{4} - 13 \, b c^{2} d x^{2} - 26 \, b d\right)} \sqrt{c^{2} x^{2} - 1}}{225 \, c^{3}}"," ",0,"-1/225*(45*a*c^5*d*x^5 - 75*a*c^3*d*x^3 + 15*(3*b*c^5*d*x^5 - 5*b*c^3*d*x^3)*log(c*x + sqrt(c^2*x^2 - 1)) - (9*b*c^4*d*x^4 - 13*b*c^2*d*x^2 - 26*b*d)*sqrt(c^2*x^2 - 1))/c^3","A",0
4,1,98,0,0.761235," ","integrate(x*(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","-\frac{8 \, a c^{4} d x^{4} - 16 \, a c^{2} d x^{2} + {\left(8 \, b c^{4} d x^{4} - 16 \, b c^{2} d x^{2} + 5 \, b d\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(2 \, b c^{3} d x^{3} - 5 \, b c d x\right)} \sqrt{c^{2} x^{2} - 1}}{32 \, c^{2}}"," ",0,"-1/32*(8*a*c^4*d*x^4 - 16*a*c^2*d*x^2 + (8*b*c^4*d*x^4 - 16*b*c^2*d*x^2 + 5*b*d)*log(c*x + sqrt(c^2*x^2 - 1)) - (2*b*c^3*d*x^3 - 5*b*c*d*x)*sqrt(c^2*x^2 - 1))/c^2","A",0
5,1,83,0,0.449675," ","integrate((-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","-\frac{3 \, a c^{3} d x^{3} - 9 \, a c d x + 3 \, {\left(b c^{3} d x^{3} - 3 \, b c d x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(b c^{2} d x^{2} - 7 \, b d\right)} \sqrt{c^{2} x^{2} - 1}}{9 \, c}"," ",0,"-1/9*(3*a*c^3*d*x^3 - 9*a*c*d*x + 3*(b*c^3*d*x^3 - 3*b*c*d*x)*log(c*x + sqrt(c^2*x^2 - 1)) - (b*c^2*d*x^2 - 7*b*d)*sqrt(c^2*x^2 - 1))/c","A",0
6,0,0,0,0.485144," ","integrate((-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{a c^{2} d x^{2} - a d + {\left(b c^{2} d x^{2} - b d\right)} \operatorname{arcosh}\left(c x\right)}{x}, x\right)"," ",0,"integral(-(a*c^2*d*x^2 - a*d + (b*c^2*d*x^2 - b*d)*arccosh(c*x))/x, x)","F",0
7,1,127,0,0.513538," ","integrate((-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^2,x, algorithm=""fricas"")","-\frac{a c^{2} d x^{2} - 2 \, b c d x \arctan\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) - \sqrt{c^{2} x^{2} - 1} b c d x - {\left(b c^{2} + b\right)} d x \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + a d + {\left(b c^{2} d x^{2} - {\left(b c^{2} + b\right)} d x + b d\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)}{x}"," ",0,"-(a*c^2*d*x^2 - 2*b*c*d*x*arctan(-c*x + sqrt(c^2*x^2 - 1)) - sqrt(c^2*x^2 - 1)*b*c*d*x - (b*c^2 + b)*d*x*log(-c*x + sqrt(c^2*x^2 - 1)) + a*d + (b*c^2*d*x^2 - (b*c^2 + b)*d*x + b*d)*log(c*x + sqrt(c^2*x^2 - 1)))/x","A",0
8,0,0,0,0.764530," ","integrate((-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{a c^{2} d x^{2} - a d + {\left(b c^{2} d x^{2} - b d\right)} \operatorname{arcosh}\left(c x\right)}{x^{3}}, x\right)"," ",0,"integral(-(a*c^2*d*x^2 - a*d + (b*c^2*d*x^2 - b*d)*arccosh(c*x))/x^3, x)","F",0
9,1,146,0,0.582760," ","integrate((-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^4,x, algorithm=""fricas"")","-\frac{10 \, b c^{3} d x^{3} \arctan\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) - 6 \, a c^{2} d x^{2} + 2 \, {\left(3 \, b c^{2} - b\right)} d x^{3} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) - \sqrt{c^{2} x^{2} - 1} b c d x + 2 \, a d - 2 \, {\left(3 \, b c^{2} d x^{2} - {\left(3 \, b c^{2} - b\right)} d x^{3} - b d\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)}{6 \, x^{3}}"," ",0,"-1/6*(10*b*c^3*d*x^3*arctan(-c*x + sqrt(c^2*x^2 - 1)) - 6*a*c^2*d*x^2 + 2*(3*b*c^2 - b)*d*x^3*log(-c*x + sqrt(c^2*x^2 - 1)) - sqrt(c^2*x^2 - 1)*b*c*d*x + 2*a*d - 2*(3*b*c^2*d*x^2 - (3*b*c^2 - b)*d*x^3 - b*d)*log(c*x + sqrt(c^2*x^2 - 1)))/x^3","A",0
10,1,165,0,0.633827," ","integrate(x^4*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{11025 \, a c^{9} d^{2} x^{9} - 28350 \, a c^{7} d^{2} x^{7} + 19845 \, a c^{5} d^{2} x^{5} + 315 \, {\left(35 \, b c^{9} d^{2} x^{9} - 90 \, b c^{7} d^{2} x^{7} + 63 \, b c^{5} d^{2} x^{5}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(1225 \, b c^{8} d^{2} x^{8} - 2650 \, b c^{6} d^{2} x^{6} + 789 \, b c^{4} d^{2} x^{4} + 1052 \, b c^{2} d^{2} x^{2} + 2104 \, b d^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{99225 \, c^{5}}"," ",0,"1/99225*(11025*a*c^9*d^2*x^9 - 28350*a*c^7*d^2*x^7 + 19845*a*c^5*d^2*x^5 + 315*(35*b*c^9*d^2*x^9 - 90*b*c^7*d^2*x^7 + 63*b*c^5*d^2*x^5)*log(c*x + sqrt(c^2*x^2 - 1)) - (1225*b*c^8*d^2*x^8 - 2650*b*c^6*d^2*x^6 + 789*b*c^4*d^2*x^4 + 1052*b*c^2*d^2*x^2 + 2104*b*d^2)*sqrt(c^2*x^2 - 1))/c^5","A",0
11,1,161,0,0.452036," ","integrate(x^3*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{1152 \, a c^{8} d^{2} x^{8} - 3072 \, a c^{6} d^{2} x^{6} + 2304 \, a c^{4} d^{2} x^{4} + 3 \, {\left(384 \, b c^{8} d^{2} x^{8} - 1024 \, b c^{6} d^{2} x^{6} + 768 \, b c^{4} d^{2} x^{4} - 73 \, b d^{2}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(144 \, b c^{7} d^{2} x^{7} - 344 \, b c^{5} d^{2} x^{5} + 146 \, b c^{3} d^{2} x^{3} + 219 \, b c d^{2} x\right)} \sqrt{c^{2} x^{2} - 1}}{9216 \, c^{4}}"," ",0,"1/9216*(1152*a*c^8*d^2*x^8 - 3072*a*c^6*d^2*x^6 + 2304*a*c^4*d^2*x^4 + 3*(384*b*c^8*d^2*x^8 - 1024*b*c^6*d^2*x^6 + 768*b*c^4*d^2*x^4 - 73*b*d^2)*log(c*x + sqrt(c^2*x^2 - 1)) - (144*b*c^7*d^2*x^7 - 344*b*c^5*d^2*x^5 + 146*b*c^3*d^2*x^3 + 219*b*c*d^2*x)*sqrt(c^2*x^2 - 1))/c^4","A",0
12,1,153,0,0.498294," ","integrate(x^2*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{1575 \, a c^{7} d^{2} x^{7} - 4410 \, a c^{5} d^{2} x^{5} + 3675 \, a c^{3} d^{2} x^{3} + 105 \, {\left(15 \, b c^{7} d^{2} x^{7} - 42 \, b c^{5} d^{2} x^{5} + 35 \, b c^{3} d^{2} x^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(225 \, b c^{6} d^{2} x^{6} - 612 \, b c^{4} d^{2} x^{4} + 409 \, b c^{2} d^{2} x^{2} + 818 \, b d^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{11025 \, c^{3}}"," ",0,"1/11025*(1575*a*c^7*d^2*x^7 - 4410*a*c^5*d^2*x^5 + 3675*a*c^3*d^2*x^3 + 105*(15*b*c^7*d^2*x^7 - 42*b*c^5*d^2*x^5 + 35*b*c^3*d^2*x^3)*log(c*x + sqrt(c^2*x^2 - 1)) - (225*b*c^6*d^2*x^6 - 612*b*c^4*d^2*x^4 + 409*b*c^2*d^2*x^2 + 818*b*d^2)*sqrt(c^2*x^2 - 1))/c^3","A",0
13,1,149,0,0.644840," ","integrate(x*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{48 \, a c^{6} d^{2} x^{6} - 144 \, a c^{4} d^{2} x^{4} + 144 \, a c^{2} d^{2} x^{2} + 3 \, {\left(16 \, b c^{6} d^{2} x^{6} - 48 \, b c^{4} d^{2} x^{4} + 48 \, b c^{2} d^{2} x^{2} - 11 \, b d^{2}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(8 \, b c^{5} d^{2} x^{5} - 26 \, b c^{3} d^{2} x^{3} + 33 \, b c d^{2} x\right)} \sqrt{c^{2} x^{2} - 1}}{288 \, c^{2}}"," ",0,"1/288*(48*a*c^6*d^2*x^6 - 144*a*c^4*d^2*x^4 + 144*a*c^2*d^2*x^2 + 3*(16*b*c^6*d^2*x^6 - 48*b*c^4*d^2*x^4 + 48*b*c^2*d^2*x^2 - 11*b*d^2)*log(c*x + sqrt(c^2*x^2 - 1)) - (8*b*c^5*d^2*x^5 - 26*b*c^3*d^2*x^3 + 33*b*c*d^2*x)*sqrt(c^2*x^2 - 1))/c^2","A",0
14,1,133,0,0.643792," ","integrate((-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{45 \, a c^{5} d^{2} x^{5} - 150 \, a c^{3} d^{2} x^{3} + 225 \, a c d^{2} x + 15 \, {\left(3 \, b c^{5} d^{2} x^{5} - 10 \, b c^{3} d^{2} x^{3} + 15 \, b c d^{2} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(9 \, b c^{4} d^{2} x^{4} - 38 \, b c^{2} d^{2} x^{2} + 149 \, b d^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{225 \, c}"," ",0,"1/225*(45*a*c^5*d^2*x^5 - 150*a*c^3*d^2*x^3 + 225*a*c*d^2*x + 15*(3*b*c^5*d^2*x^5 - 10*b*c^3*d^2*x^3 + 15*b*c*d^2*x)*log(c*x + sqrt(c^2*x^2 - 1)) - (9*b*c^4*d^2*x^4 - 38*b*c^2*d^2*x^2 + 149*b*d^2)*sqrt(c^2*x^2 - 1))/c","A",0
15,0,0,0,0.619506," ","integrate((-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a c^{4} d^{2} x^{4} - 2 \, a c^{2} d^{2} x^{2} + a d^{2} + {\left(b c^{4} d^{2} x^{4} - 2 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)}{x}, x\right)"," ",0,"integral((a*c^4*d^2*x^4 - 2*a*c^2*d^2*x^2 + a*d^2 + (b*c^4*d^2*x^4 - 2*b*c^2*d^2*x^2 + b*d^2)*arccosh(c*x))/x, x)","F",0
16,1,201,0,0.636558," ","integrate((-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))/x^2,x, algorithm=""fricas"")","\frac{3 \, a c^{4} d^{2} x^{4} - 18 \, a c^{2} d^{2} x^{2} + 18 \, b c d^{2} x \arctan\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) - 3 \, {\left(b c^{4} - 6 \, b c^{2} - 3 \, b\right)} d^{2} x \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) - 9 \, a d^{2} + 3 \, {\left(b c^{4} d^{2} x^{4} - 6 \, b c^{2} d^{2} x^{2} - {\left(b c^{4} - 6 \, b c^{2} - 3 \, b\right)} d^{2} x - 3 \, b d^{2}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(b c^{3} d^{2} x^{3} - 16 \, b c d^{2} x\right)} \sqrt{c^{2} x^{2} - 1}}{9 \, x}"," ",0,"1/9*(3*a*c^4*d^2*x^4 - 18*a*c^2*d^2*x^2 + 18*b*c*d^2*x*arctan(-c*x + sqrt(c^2*x^2 - 1)) - 3*(b*c^4 - 6*b*c^2 - 3*b)*d^2*x*log(-c*x + sqrt(c^2*x^2 - 1)) - 9*a*d^2 + 3*(b*c^4*d^2*x^4 - 6*b*c^2*d^2*x^2 - (b*c^4 - 6*b*c^2 - 3*b)*d^2*x - 3*b*d^2)*log(c*x + sqrt(c^2*x^2 - 1)) - (b*c^3*d^2*x^3 - 16*b*c*d^2*x)*sqrt(c^2*x^2 - 1))/x","A",0
17,0,0,0,0.707201," ","integrate((-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a c^{4} d^{2} x^{4} - 2 \, a c^{2} d^{2} x^{2} + a d^{2} + {\left(b c^{4} d^{2} x^{4} - 2 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)}{x^{3}}, x\right)"," ",0,"integral((a*c^4*d^2*x^4 - 2*a*c^2*d^2*x^2 + a*d^2 + (b*c^4*d^2*x^4 - 2*b*c^2*d^2*x^2 + b*d^2)*arccosh(c*x))/x^3, x)","F",0
18,1,213,0,0.574643," ","integrate((-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))/x^4,x, algorithm=""fricas"")","\frac{6 \, a c^{4} d^{2} x^{4} - 22 \, b c^{3} d^{2} x^{3} \arctan\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + 12 \, a c^{2} d^{2} x^{2} - 2 \, {\left(3 \, b c^{4} + 6 \, b c^{2} - b\right)} d^{2} x^{3} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) - 2 \, a d^{2} + 2 \, {\left(3 \, b c^{4} d^{2} x^{4} + 6 \, b c^{2} d^{2} x^{2} - {\left(3 \, b c^{4} + 6 \, b c^{2} - b\right)} d^{2} x^{3} - b d^{2}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(6 \, b c^{3} d^{2} x^{3} - b c d^{2} x\right)} \sqrt{c^{2} x^{2} - 1}}{6 \, x^{3}}"," ",0,"1/6*(6*a*c^4*d^2*x^4 - 22*b*c^3*d^2*x^3*arctan(-c*x + sqrt(c^2*x^2 - 1)) + 12*a*c^2*d^2*x^2 - 2*(3*b*c^4 + 6*b*c^2 - b)*d^2*x^3*log(-c*x + sqrt(c^2*x^2 - 1)) - 2*a*d^2 + 2*(3*b*c^4*d^2*x^4 + 6*b*c^2*d^2*x^2 - (3*b*c^4 + 6*b*c^2 - b)*d^2*x^3 - b*d^2)*log(c*x + sqrt(c^2*x^2 - 1)) - (6*b*c^3*d^2*x^3 - b*c*d^2*x)*sqrt(c^2*x^2 - 1))/x^3","A",0
19,1,201,0,0.764080," ","integrate(x^4*(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","-\frac{363825 \, a c^{11} d^{3} x^{11} - 1334025 \, a c^{9} d^{3} x^{9} + 1715175 \, a c^{7} d^{3} x^{7} - 800415 \, a c^{5} d^{3} x^{5} + 3465 \, {\left(105 \, b c^{11} d^{3} x^{11} - 385 \, b c^{9} d^{3} x^{9} + 495 \, b c^{7} d^{3} x^{7} - 231 \, b c^{5} d^{3} x^{5}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(33075 \, b c^{10} d^{3} x^{10} - 111475 \, b c^{8} d^{3} x^{8} + 117625 \, b c^{6} d^{3} x^{6} - 18933 \, b c^{4} d^{3} x^{4} - 25244 \, b c^{2} d^{3} x^{2} - 50488 \, b d^{3}\right)} \sqrt{c^{2} x^{2} - 1}}{4002075 \, c^{5}}"," ",0,"-1/4002075*(363825*a*c^11*d^3*x^11 - 1334025*a*c^9*d^3*x^9 + 1715175*a*c^7*d^3*x^7 - 800415*a*c^5*d^3*x^5 + 3465*(105*b*c^11*d^3*x^11 - 385*b*c^9*d^3*x^9 + 495*b*c^7*d^3*x^7 - 231*b*c^5*d^3*x^5)*log(c*x + sqrt(c^2*x^2 - 1)) - (33075*b*c^10*d^3*x^10 - 111475*b*c^8*d^3*x^8 + 117625*b*c^6*d^3*x^6 - 18933*b*c^4*d^3*x^4 - 25244*b*c^2*d^3*x^2 - 50488*b*d^3)*sqrt(c^2*x^2 - 1))/c^5","A",0
20,1,197,0,0.585945," ","integrate(x^3*(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","-\frac{7680 \, a c^{10} d^{3} x^{10} - 28800 \, a c^{8} d^{3} x^{8} + 38400 \, a c^{6} d^{3} x^{6} - 19200 \, a c^{4} d^{3} x^{4} + 15 \, {\left(512 \, b c^{10} d^{3} x^{10} - 1920 \, b c^{8} d^{3} x^{8} + 2560 \, b c^{6} d^{3} x^{6} - 1280 \, b c^{4} d^{3} x^{4} + 79 \, b d^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(768 \, b c^{9} d^{3} x^{9} - 2736 \, b c^{7} d^{3} x^{7} + 3208 \, b c^{5} d^{3} x^{5} - 790 \, b c^{3} d^{3} x^{3} - 1185 \, b c d^{3} x\right)} \sqrt{c^{2} x^{2} - 1}}{76800 \, c^{4}}"," ",0,"-1/76800*(7680*a*c^10*d^3*x^10 - 28800*a*c^8*d^3*x^8 + 38400*a*c^6*d^3*x^6 - 19200*a*c^4*d^3*x^4 + 15*(512*b*c^10*d^3*x^10 - 1920*b*c^8*d^3*x^8 + 2560*b*c^6*d^3*x^6 - 1280*b*c^4*d^3*x^4 + 79*b*d^3)*log(c*x + sqrt(c^2*x^2 - 1)) - (768*b*c^9*d^3*x^9 - 2736*b*c^7*d^3*x^7 + 3208*b*c^5*d^3*x^5 - 790*b*c^3*d^3*x^3 - 1185*b*c*d^3*x)*sqrt(c^2*x^2 - 1))/c^4","A",0
21,1,189,0,0.551083," ","integrate(x^2*(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","-\frac{11025 \, a c^{9} d^{3} x^{9} - 42525 \, a c^{7} d^{3} x^{7} + 59535 \, a c^{5} d^{3} x^{5} - 33075 \, a c^{3} d^{3} x^{3} + 315 \, {\left(35 \, b c^{9} d^{3} x^{9} - 135 \, b c^{7} d^{3} x^{7} + 189 \, b c^{5} d^{3} x^{5} - 105 \, b c^{3} d^{3} x^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(1225 \, b c^{8} d^{3} x^{8} - 4675 \, b c^{6} d^{3} x^{6} + 6297 \, b c^{4} d^{3} x^{4} - 2629 \, b c^{2} d^{3} x^{2} - 5258 \, b d^{3}\right)} \sqrt{c^{2} x^{2} - 1}}{99225 \, c^{3}}"," ",0,"-1/99225*(11025*a*c^9*d^3*x^9 - 42525*a*c^7*d^3*x^7 + 59535*a*c^5*d^3*x^5 - 33075*a*c^3*d^3*x^3 + 315*(35*b*c^9*d^3*x^9 - 135*b*c^7*d^3*x^7 + 189*b*c^5*d^3*x^5 - 105*b*c^3*d^3*x^3)*log(c*x + sqrt(c^2*x^2 - 1)) - (1225*b*c^8*d^3*x^8 - 4675*b*c^6*d^3*x^6 + 6297*b*c^4*d^3*x^4 - 2629*b*c^2*d^3*x^2 - 5258*b*d^3)*sqrt(c^2*x^2 - 1))/c^3","A",0
22,1,185,0,0.474126," ","integrate(x*(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","-\frac{384 \, a c^{8} d^{3} x^{8} - 1536 \, a c^{6} d^{3} x^{6} + 2304 \, a c^{4} d^{3} x^{4} - 1536 \, a c^{2} d^{3} x^{2} + 3 \, {\left(128 \, b c^{8} d^{3} x^{8} - 512 \, b c^{6} d^{3} x^{6} + 768 \, b c^{4} d^{3} x^{4} - 512 \, b c^{2} d^{3} x^{2} + 93 \, b d^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(48 \, b c^{7} d^{3} x^{7} - 200 \, b c^{5} d^{3} x^{5} + 326 \, b c^{3} d^{3} x^{3} - 279 \, b c d^{3} x\right)} \sqrt{c^{2} x^{2} - 1}}{3072 \, c^{2}}"," ",0,"-1/3072*(384*a*c^8*d^3*x^8 - 1536*a*c^6*d^3*x^6 + 2304*a*c^4*d^3*x^4 - 1536*a*c^2*d^3*x^2 + 3*(128*b*c^8*d^3*x^8 - 512*b*c^6*d^3*x^6 + 768*b*c^4*d^3*x^4 - 512*b*c^2*d^3*x^2 + 93*b*d^3)*log(c*x + sqrt(c^2*x^2 - 1)) - (48*b*c^7*d^3*x^7 - 200*b*c^5*d^3*x^5 + 326*b*c^3*d^3*x^3 - 279*b*c*d^3*x)*sqrt(c^2*x^2 - 1))/c^2","A",0
23,1,169,0,0.527758," ","integrate((-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","-\frac{525 \, a c^{7} d^{3} x^{7} - 2205 \, a c^{5} d^{3} x^{5} + 3675 \, a c^{3} d^{3} x^{3} - 3675 \, a c d^{3} x + 105 \, {\left(5 \, b c^{7} d^{3} x^{7} - 21 \, b c^{5} d^{3} x^{5} + 35 \, b c^{3} d^{3} x^{3} - 35 \, b c d^{3} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(75 \, b c^{6} d^{3} x^{6} - 351 \, b c^{4} d^{3} x^{4} + 757 \, b c^{2} d^{3} x^{2} - 2161 \, b d^{3}\right)} \sqrt{c^{2} x^{2} - 1}}{3675 \, c}"," ",0,"-1/3675*(525*a*c^7*d^3*x^7 - 2205*a*c^5*d^3*x^5 + 3675*a*c^3*d^3*x^3 - 3675*a*c*d^3*x + 105*(5*b*c^7*d^3*x^7 - 21*b*c^5*d^3*x^5 + 35*b*c^3*d^3*x^3 - 35*b*c*d^3*x)*log(c*x + sqrt(c^2*x^2 - 1)) - (75*b*c^6*d^3*x^6 - 351*b*c^4*d^3*x^4 + 757*b*c^2*d^3*x^2 - 2161*b*d^3)*sqrt(c^2*x^2 - 1))/c","A",0
24,0,0,0,0.601311," ","integrate((-c^2*d*x^2+d)^3*(a+b*arccosh(c*x))/x,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{a c^{6} d^{3} x^{6} - 3 \, a c^{4} d^{3} x^{4} + 3 \, a c^{2} d^{3} x^{2} - a d^{3} + {\left(b c^{6} d^{3} x^{6} - 3 \, b c^{4} d^{3} x^{4} + 3 \, b c^{2} d^{3} x^{2} - b d^{3}\right)} \operatorname{arcosh}\left(c x\right)}{x}, x\right)"," ",0,"integral(-(a*c^6*d^3*x^6 - 3*a*c^4*d^3*x^4 + 3*a*c^2*d^3*x^2 - a*d^3 + (b*c^6*d^3*x^6 - 3*b*c^4*d^3*x^4 + 3*b*c^2*d^3*x^2 - b*d^3)*arccosh(c*x))/x, x)","F",0
25,1,249,0,0.554355," ","integrate((-c^2*d*x^2+d)^3*(a+b*arccosh(c*x))/x^2,x, algorithm=""fricas"")","-\frac{5 \, a c^{6} d^{3} x^{6} - 25 \, a c^{4} d^{3} x^{4} + 75 \, a c^{2} d^{3} x^{2} - 50 \, b c d^{3} x \arctan\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) - 5 \, {\left(b c^{6} - 5 \, b c^{4} + 15 \, b c^{2} + 5 \, b\right)} d^{3} x \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + 25 \, a d^{3} + 5 \, {\left(b c^{6} d^{3} x^{6} - 5 \, b c^{4} d^{3} x^{4} + 15 \, b c^{2} d^{3} x^{2} - {\left(b c^{6} - 5 \, b c^{4} + 15 \, b c^{2} + 5 \, b\right)} d^{3} x + 5 \, b d^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(b c^{5} d^{3} x^{5} - 7 \, b c^{3} d^{3} x^{3} + 61 \, b c d^{3} x\right)} \sqrt{c^{2} x^{2} - 1}}{25 \, x}"," ",0,"-1/25*(5*a*c^6*d^3*x^6 - 25*a*c^4*d^3*x^4 + 75*a*c^2*d^3*x^2 - 50*b*c*d^3*x*arctan(-c*x + sqrt(c^2*x^2 - 1)) - 5*(b*c^6 - 5*b*c^4 + 15*b*c^2 + 5*b)*d^3*x*log(-c*x + sqrt(c^2*x^2 - 1)) + 25*a*d^3 + 5*(b*c^6*d^3*x^6 - 5*b*c^4*d^3*x^4 + 15*b*c^2*d^3*x^2 - (b*c^6 - 5*b*c^4 + 15*b*c^2 + 5*b)*d^3*x + 5*b*d^3)*log(c*x + sqrt(c^2*x^2 - 1)) - (b*c^5*d^3*x^5 - 7*b*c^3*d^3*x^3 + 61*b*c*d^3*x)*sqrt(c^2*x^2 - 1))/x","A",0
26,0,0,0,0.753728," ","integrate((-c^2*d*x^2+d)^3*(a+b*arccosh(c*x))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{a c^{6} d^{3} x^{6} - 3 \, a c^{4} d^{3} x^{4} + 3 \, a c^{2} d^{3} x^{2} - a d^{3} + {\left(b c^{6} d^{3} x^{6} - 3 \, b c^{4} d^{3} x^{4} + 3 \, b c^{2} d^{3} x^{2} - b d^{3}\right)} \operatorname{arcosh}\left(c x\right)}{x^{3}}, x\right)"," ",0,"integral(-(a*c^6*d^3*x^6 - 3*a*c^4*d^3*x^4 + 3*a*c^2*d^3*x^2 - a*d^3 + (b*c^6*d^3*x^6 - 3*b*c^4*d^3*x^4 + 3*b*c^2*d^3*x^2 - b*d^3)*arccosh(c*x))/x^3, x)","F",0
27,1,253,0,0.659593," ","integrate((-c^2*d*x^2+d)^3*(a+b*arccosh(c*x))/x^4,x, algorithm=""fricas"")","-\frac{6 \, a c^{6} d^{3} x^{6} - 54 \, a c^{4} d^{3} x^{4} + 102 \, b c^{3} d^{3} x^{3} \arctan\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) - 54 \, a c^{2} d^{3} x^{2} - 6 \, {\left(b c^{6} - 9 \, b c^{4} - 9 \, b c^{2} + b\right)} d^{3} x^{3} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + 6 \, a d^{3} + 6 \, {\left(b c^{6} d^{3} x^{6} - 9 \, b c^{4} d^{3} x^{4} - 9 \, b c^{2} d^{3} x^{2} - {\left(b c^{6} - 9 \, b c^{4} - 9 \, b c^{2} + b\right)} d^{3} x^{3} + b d^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(2 \, b c^{5} d^{3} x^{5} - 50 \, b c^{3} d^{3} x^{3} + 3 \, b c d^{3} x\right)} \sqrt{c^{2} x^{2} - 1}}{18 \, x^{3}}"," ",0,"-1/18*(6*a*c^6*d^3*x^6 - 54*a*c^4*d^3*x^4 + 102*b*c^3*d^3*x^3*arctan(-c*x + sqrt(c^2*x^2 - 1)) - 54*a*c^2*d^3*x^2 - 6*(b*c^6 - 9*b*c^4 - 9*b*c^2 + b)*d^3*x^3*log(-c*x + sqrt(c^2*x^2 - 1)) + 6*a*d^3 + 6*(b*c^6*d^3*x^6 - 9*b*c^4*d^3*x^4 - 9*b*c^2*d^3*x^2 - (b*c^6 - 9*b*c^4 - 9*b*c^2 + b)*d^3*x^3 + b*d^3)*log(c*x + sqrt(c^2*x^2 - 1)) - (2*b*c^5*d^3*x^5 - 50*b*c^3*d^3*x^3 + 3*b*c*d^3*x)*sqrt(c^2*x^2 - 1))/x^3","A",0
28,0,0,0,0.477092," ","integrate(x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b x^{4} \operatorname{arcosh}\left(c x\right) + a x^{4}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-(b*x^4*arccosh(c*x) + a*x^4)/(c^2*d*x^2 - d), x)","F",0
29,0,0,0,0.657226," ","integrate(x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b x^{3} \operatorname{arcosh}\left(c x\right) + a x^{3}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-(b*x^3*arccosh(c*x) + a*x^3)/(c^2*d*x^2 - d), x)","F",0
30,0,0,0,0.556708," ","integrate(x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b x^{2} \operatorname{arcosh}\left(c x\right) + a x^{2}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-(b*x^2*arccosh(c*x) + a*x^2)/(c^2*d*x^2 - d), x)","F",0
31,0,0,0,0.539333," ","integrate(x*(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b x \operatorname{arcosh}\left(c x\right) + a x}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-(b*x*arccosh(c*x) + a*x)/(c^2*d*x^2 - d), x)","F",0
32,0,0,0,0.456507," ","integrate((a+b*arccosh(c*x))/(-c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{arcosh}\left(c x\right) + a}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-(b*arccosh(c*x) + a)/(c^2*d*x^2 - d), x)","F",0
33,0,0,0,0.624699," ","integrate((a+b*arccosh(c*x))/x/(-c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{arcosh}\left(c x\right) + a}{c^{2} d x^{3} - d x}, x\right)"," ",0,"integral(-(b*arccosh(c*x) + a)/(c^2*d*x^3 - d*x), x)","F",0
34,0,0,0,0.406085," ","integrate((a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{arcosh}\left(c x\right) + a}{c^{2} d x^{4} - d x^{2}}, x\right)"," ",0,"integral(-(b*arccosh(c*x) + a)/(c^2*d*x^4 - d*x^2), x)","F",0
35,0,0,0,0.517521," ","integrate((a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{arcosh}\left(c x\right) + a}{c^{2} d x^{5} - d x^{3}}, x\right)"," ",0,"integral(-(b*arccosh(c*x) + a)/(c^2*d*x^5 - d*x^3), x)","F",0
36,0,0,0,0.715523," ","integrate((a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{arcosh}\left(c x\right) + a}{c^{2} d x^{6} - d x^{4}}, x\right)"," ",0,"integral(-(b*arccosh(c*x) + a)/(c^2*d*x^6 - d*x^4), x)","F",0
37,0,0,0,0.591801," ","integrate(x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \operatorname{arcosh}\left(c x\right) + a x^{4}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((b*x^4*arccosh(c*x) + a*x^4)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
38,0,0,0,0.456303," ","integrate(x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \operatorname{arcosh}\left(c x\right) + a x^{3}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((b*x^3*arccosh(c*x) + a*x^3)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
39,0,0,0,0.553725," ","integrate(x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \operatorname{arcosh}\left(c x\right) + a x^{2}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((b*x^2*arccosh(c*x) + a*x^2)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
40,1,65,0,0.739132," ","integrate(x*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x, algorithm=""fricas"")","-\frac{a c^{2} x^{2} + \sqrt{c^{2} x^{2} - 1} b c x + b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)}{2 \, {\left(c^{4} d^{2} x^{2} - c^{2} d^{2}\right)}}"," ",0,"-1/2*(a*c^2*x^2 + sqrt(c^2*x^2 - 1)*b*c*x + b*log(c*x + sqrt(c^2*x^2 - 1)))/(c^4*d^2*x^2 - c^2*d^2)","A",0
41,0,0,0,0.587199," ","integrate((a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
42,0,0,0,0.431429," ","integrate((a+b*arccosh(c*x))/x/(-c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{c^{4} d^{2} x^{5} - 2 \, c^{2} d^{2} x^{3} + d^{2} x}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(c^4*d^2*x^5 - 2*c^2*d^2*x^3 + d^2*x), x)","F",0
43,0,0,0,0.537858," ","integrate((a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{c^{4} d^{2} x^{6} - 2 \, c^{2} d^{2} x^{4} + d^{2} x^{2}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(c^4*d^2*x^6 - 2*c^2*d^2*x^4 + d^2*x^2), x)","F",0
44,0,0,0,0.556080," ","integrate((a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{c^{4} d^{2} x^{7} - 2 \, c^{2} d^{2} x^{5} + d^{2} x^{3}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(c^4*d^2*x^7 - 2*c^2*d^2*x^5 + d^2*x^3), x)","F",0
45,0,0,0,0.500679," ","integrate((a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{c^{4} d^{2} x^{8} - 2 \, c^{2} d^{2} x^{6} + d^{2} x^{4}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(c^4*d^2*x^8 - 2*c^2*d^2*x^6 + d^2*x^4), x)","F",0
46,0,0,0,0.458513," ","integrate(x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b x^{4} \operatorname{arcosh}\left(c x\right) + a x^{4}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-(b*x^4*arccosh(c*x) + a*x^4)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
47,1,101,0,0.719484," ","integrate(x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x, algorithm=""fricas"")","\frac{3 \, a c^{4} x^{4} + 3 \, {\left(2 \, b c^{2} x^{2} - b\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(4 \, b c^{3} x^{3} - 3 \, b c x\right)} \sqrt{c^{2} x^{2} - 1}}{12 \, {\left(c^{8} d^{3} x^{4} - 2 \, c^{6} d^{3} x^{2} + c^{4} d^{3}\right)}}"," ",0,"1/12*(3*a*c^4*x^4 + 3*(2*b*c^2*x^2 - b)*log(c*x + sqrt(c^2*x^2 - 1)) + (4*b*c^3*x^3 - 3*b*c*x)*sqrt(c^2*x^2 - 1))/(c^8*d^3*x^4 - 2*c^6*d^3*x^2 + c^4*d^3)","A",0
48,0,0,0,0.536400," ","integrate(x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b x^{2} \operatorname{arcosh}\left(c x\right) + a x^{2}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-(b*x^2*arccosh(c*x) + a*x^2)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
49,1,98,0,0.620412," ","integrate(x*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x, algorithm=""fricas"")","-\frac{3 \, a c^{4} x^{4} - 6 \, a c^{2} x^{2} - 3 \, b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(2 \, b c^{3} x^{3} - 3 \, b c x\right)} \sqrt{c^{2} x^{2} - 1}}{12 \, {\left(c^{6} d^{3} x^{4} - 2 \, c^{4} d^{3} x^{2} + c^{2} d^{3}\right)}}"," ",0,"-1/12*(3*a*c^4*x^4 - 6*a*c^2*x^2 - 3*b*log(c*x + sqrt(c^2*x^2 - 1)) + (2*b*c^3*x^3 - 3*b*c*x)*sqrt(c^2*x^2 - 1))/(c^6*d^3*x^4 - 2*c^4*d^3*x^2 + c^2*d^3)","A",0
50,0,0,0,0.561696," ","integrate((a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{arcosh}\left(c x\right) + a}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-(b*arccosh(c*x) + a)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
51,0,0,0,0.536876," ","integrate((a+b*arccosh(c*x))/x/(-c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{arcosh}\left(c x\right) + a}{c^{6} d^{3} x^{7} - 3 \, c^{4} d^{3} x^{5} + 3 \, c^{2} d^{3} x^{3} - d^{3} x}, x\right)"," ",0,"integral(-(b*arccosh(c*x) + a)/(c^6*d^3*x^7 - 3*c^4*d^3*x^5 + 3*c^2*d^3*x^3 - d^3*x), x)","F",0
52,0,0,0,0.607385," ","integrate((a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{arcosh}\left(c x\right) + a}{c^{6} d^{3} x^{8} - 3 \, c^{4} d^{3} x^{6} + 3 \, c^{2} d^{3} x^{4} - d^{3} x^{2}}, x\right)"," ",0,"integral(-(b*arccosh(c*x) + a)/(c^6*d^3*x^8 - 3*c^4*d^3*x^6 + 3*c^2*d^3*x^4 - d^3*x^2), x)","F",0
53,0,0,0,0.851299," ","integrate((a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{arcosh}\left(c x\right) + a}{c^{6} d^{3} x^{9} - 3 \, c^{4} d^{3} x^{7} + 3 \, c^{2} d^{3} x^{5} - d^{3} x^{3}}, x\right)"," ",0,"integral(-(b*arccosh(c*x) + a)/(c^6*d^3*x^9 - 3*c^4*d^3*x^7 + 3*c^2*d^3*x^5 - d^3*x^3), x)","F",0
54,0,0,0,0.568795," ","integrate((a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{arcosh}\left(c x\right) + a}{c^{6} d^{3} x^{10} - 3 \, c^{4} d^{3} x^{8} + 3 \, c^{2} d^{3} x^{6} - d^{3} x^{4}}, x\right)"," ",0,"integral(-(b*arccosh(c*x) + a)/(c^6*d^3*x^10 - 3*c^4*d^3*x^8 + 3*c^2*d^3*x^6 - d^3*x^4), x)","F",0
55,0,0,0,0.465615," ","integrate(arccosh(a*x)/(-a^2*c*x^2+c),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\operatorname{arcosh}\left(a x\right)}{a^{2} c x^{2} - c}, x\right)"," ",0,"integral(-arccosh(a*x)/(a^2*c*x^2 - c), x)","F",0
56,0,0,0,0.623525," ","integrate(arccosh(a*x)/(-a^2*c*x^2+c)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arcosh}\left(a x\right)}{a^{4} c^{2} x^{4} - 2 \, a^{2} c^{2} x^{2} + c^{2}}, x\right)"," ",0,"integral(arccosh(a*x)/(a^4*c^2*x^4 - 2*a^2*c^2*x^2 + c^2), x)","F",0
57,0,0,0,0.468223," ","integrate(arccosh(a*x)/(-a^2*c*x^2+c)^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\operatorname{arcosh}\left(a x\right)}{a^{6} c^{3} x^{6} - 3 \, a^{4} c^{3} x^{4} + 3 \, a^{2} c^{3} x^{2} - c^{3}}, x\right)"," ",0,"integral(-arccosh(a*x)/(a^6*c^3*x^6 - 3*a^4*c^3*x^4 + 3*a^2*c^3*x^2 - c^3), x)","F",0
58,0,0,0,0.624012," ","integrate(x^4*(a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{4} \operatorname{arcosh}\left(c x\right) + a x^{4}\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((b*x^4*arccosh(c*x) + a*x^4)*sqrt(-c^2*d*x^2 + d), x)","F",0
59,0,0,0,0.581263," ","integrate(x^2*(a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} {\left(b x^{2} \operatorname{arcosh}\left(c x\right) + a x^{2}\right)}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*x^2*arccosh(c*x) + a*x^2), x)","F",0
60,0,0,0,0.450996," ","integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a), x)","F",0
61,0,0,0,0.576538," ","integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{x^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/x^2, x)","F",0
62,1,462,0,0.571976," ","integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2)/x^4,x, algorithm=""fricas"")","\left[\frac{2 \, {\left(b c^{4} x^{4} - 2 \, b c^{2} x^{2} + b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(b c^{5} x^{5} - b c^{3} x^{3}\right)} \sqrt{-d} \log\left(\frac{c^{2} d x^{6} + c^{2} d x^{2} - d x^{4} + \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{4} - 1\right)} \sqrt{-d} - d}{c^{2} x^{4} - x^{2}}\right) + \sqrt{-c^{2} d x^{2} + d} {\left(b c x^{3} - b c x\right)} \sqrt{c^{2} x^{2} - 1} + 2 \, {\left(a c^{4} x^{4} - 2 \, a c^{2} x^{2} + a\right)} \sqrt{-c^{2} d x^{2} + d}}{6 \, {\left(c^{2} x^{5} - x^{3}\right)}}, -\frac{2 \, {\left(b c^{5} x^{5} - b c^{3} x^{3}\right)} \sqrt{d} \arctan\left(\frac{\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{2} + 1\right)} \sqrt{d}}{c^{2} d x^{4} - {\left(c^{2} + 1\right)} d x^{2} + d}\right) - 2 \, {\left(b c^{4} x^{4} - 2 \, b c^{2} x^{2} + b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - \sqrt{-c^{2} d x^{2} + d} {\left(b c x^{3} - b c x\right)} \sqrt{c^{2} x^{2} - 1} - 2 \, {\left(a c^{4} x^{4} - 2 \, a c^{2} x^{2} + a\right)} \sqrt{-c^{2} d x^{2} + d}}{6 \, {\left(c^{2} x^{5} - x^{3}\right)}}\right]"," ",0,"[1/6*(2*(b*c^4*x^4 - 2*b*c^2*x^2 + b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + (b*c^5*x^5 - b*c^3*x^3)*sqrt(-d)*log((c^2*d*x^6 + c^2*d*x^2 - d*x^4 + sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^4 - 1)*sqrt(-d) - d)/(c^2*x^4 - x^2)) + sqrt(-c^2*d*x^2 + d)*(b*c*x^3 - b*c*x)*sqrt(c^2*x^2 - 1) + 2*(a*c^4*x^4 - 2*a*c^2*x^2 + a)*sqrt(-c^2*d*x^2 + d))/(c^2*x^5 - x^3), -1/6*(2*(b*c^5*x^5 - b*c^3*x^3)*sqrt(d)*arctan(sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^2 + 1)*sqrt(d)/(c^2*d*x^4 - (c^2 + 1)*d*x^2 + d)) - 2*(b*c^4*x^4 - 2*b*c^2*x^2 + b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - sqrt(-c^2*d*x^2 + d)*(b*c*x^3 - b*c*x)*sqrt(c^2*x^2 - 1) - 2*(a*c^4*x^4 - 2*a*c^2*x^2 + a)*sqrt(-c^2*d*x^2 + d))/(c^2*x^5 - x^3)]","B",0
63,1,549,0,0.578089," ","integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2)/x^6,x, algorithm=""fricas"")","\left[\frac{4 \, {\left(2 \, b c^{6} x^{6} - b c^{4} x^{4} - 4 \, b c^{2} x^{2} + 3 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 4 \, {\left(b c^{7} x^{7} - b c^{5} x^{5}\right)} \sqrt{-d} \log\left(\frac{c^{2} d x^{6} + c^{2} d x^{2} - d x^{4} + \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{4} - 1\right)} \sqrt{-d} - d}{c^{2} x^{4} - x^{2}}\right) + {\left(2 \, b c^{3} x^{3} - {\left(2 \, b c^{3} - 3 \, b c\right)} x^{5} - 3 \, b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 4 \, {\left(2 \, a c^{6} x^{6} - a c^{4} x^{4} - 4 \, a c^{2} x^{2} + 3 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{60 \, {\left(c^{2} x^{7} - x^{5}\right)}}, -\frac{8 \, {\left(b c^{7} x^{7} - b c^{5} x^{5}\right)} \sqrt{d} \arctan\left(\frac{\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{2} + 1\right)} \sqrt{d}}{c^{2} d x^{4} - {\left(c^{2} + 1\right)} d x^{2} + d}\right) - 4 \, {\left(2 \, b c^{6} x^{6} - b c^{4} x^{4} - 4 \, b c^{2} x^{2} + 3 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(2 \, b c^{3} x^{3} - {\left(2 \, b c^{3} - 3 \, b c\right)} x^{5} - 3 \, b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 4 \, {\left(2 \, a c^{6} x^{6} - a c^{4} x^{4} - 4 \, a c^{2} x^{2} + 3 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{60 \, {\left(c^{2} x^{7} - x^{5}\right)}}\right]"," ",0,"[1/60*(4*(2*b*c^6*x^6 - b*c^4*x^4 - 4*b*c^2*x^2 + 3*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + 4*(b*c^7*x^7 - b*c^5*x^5)*sqrt(-d)*log((c^2*d*x^6 + c^2*d*x^2 - d*x^4 + sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^4 - 1)*sqrt(-d) - d)/(c^2*x^4 - x^2)) + (2*b*c^3*x^3 - (2*b*c^3 - 3*b*c)*x^5 - 3*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 4*(2*a*c^6*x^6 - a*c^4*x^4 - 4*a*c^2*x^2 + 3*a)*sqrt(-c^2*d*x^2 + d))/(c^2*x^7 - x^5), -1/60*(8*(b*c^7*x^7 - b*c^5*x^5)*sqrt(d)*arctan(sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^2 + 1)*sqrt(d)/(c^2*d*x^4 - (c^2 + 1)*d*x^2 + d)) - 4*(2*b*c^6*x^6 - b*c^4*x^4 - 4*b*c^2*x^2 + 3*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (2*b*c^3*x^3 - (2*b*c^3 - 3*b*c)*x^5 - 3*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 4*(2*a*c^6*x^6 - a*c^4*x^4 - 4*a*c^2*x^2 + 3*a)*sqrt(-c^2*d*x^2 + d))/(c^2*x^7 - x^5)]","A",0
64,1,615,0,0.754493," ","integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2)/x^8,x, algorithm=""fricas"")","\left[\frac{4 \, {\left(8 \, b c^{8} x^{8} - 4 \, b c^{6} x^{6} - b c^{4} x^{4} - 18 \, b c^{2} x^{2} + 15 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 16 \, {\left(b c^{9} x^{9} - b c^{7} x^{7}\right)} \sqrt{-d} \log\left(\frac{c^{2} d x^{6} + c^{2} d x^{2} - d x^{4} + \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{4} - 1\right)} \sqrt{-d} - d}{c^{2} x^{4} - x^{2}}\right) + {\left(8 \, b c^{5} x^{5} - {\left(8 \, b c^{5} + 3 \, b c^{3} - 10 \, b c\right)} x^{7} + 3 \, b c^{3} x^{3} - 10 \, b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 4 \, {\left(8 \, a c^{8} x^{8} - 4 \, a c^{6} x^{6} - a c^{4} x^{4} - 18 \, a c^{2} x^{2} + 15 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{420 \, {\left(c^{2} x^{9} - x^{7}\right)}}, -\frac{32 \, {\left(b c^{9} x^{9} - b c^{7} x^{7}\right)} \sqrt{d} \arctan\left(\frac{\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{2} + 1\right)} \sqrt{d}}{c^{2} d x^{4} - {\left(c^{2} + 1\right)} d x^{2} + d}\right) - 4 \, {\left(8 \, b c^{8} x^{8} - 4 \, b c^{6} x^{6} - b c^{4} x^{4} - 18 \, b c^{2} x^{2} + 15 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(8 \, b c^{5} x^{5} - {\left(8 \, b c^{5} + 3 \, b c^{3} - 10 \, b c\right)} x^{7} + 3 \, b c^{3} x^{3} - 10 \, b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 4 \, {\left(8 \, a c^{8} x^{8} - 4 \, a c^{6} x^{6} - a c^{4} x^{4} - 18 \, a c^{2} x^{2} + 15 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{420 \, {\left(c^{2} x^{9} - x^{7}\right)}}\right]"," ",0,"[1/420*(4*(8*b*c^8*x^8 - 4*b*c^6*x^6 - b*c^4*x^4 - 18*b*c^2*x^2 + 15*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + 16*(b*c^9*x^9 - b*c^7*x^7)*sqrt(-d)*log((c^2*d*x^6 + c^2*d*x^2 - d*x^4 + sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^4 - 1)*sqrt(-d) - d)/(c^2*x^4 - x^2)) + (8*b*c^5*x^5 - (8*b*c^5 + 3*b*c^3 - 10*b*c)*x^7 + 3*b*c^3*x^3 - 10*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 4*(8*a*c^8*x^8 - 4*a*c^6*x^6 - a*c^4*x^4 - 18*a*c^2*x^2 + 15*a)*sqrt(-c^2*d*x^2 + d))/(c^2*x^9 - x^7), -1/420*(32*(b*c^9*x^9 - b*c^7*x^7)*sqrt(d)*arctan(sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^2 + 1)*sqrt(d)/(c^2*d*x^4 - (c^2 + 1)*d*x^2 + d)) - 4*(8*b*c^8*x^8 - 4*b*c^6*x^6 - b*c^4*x^4 - 18*b*c^2*x^2 + 15*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (8*b*c^5*x^5 - (8*b*c^5 + 3*b*c^3 - 10*b*c)*x^7 + 3*b*c^3*x^3 - 10*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 4*(8*a*c^8*x^8 - 4*a*c^6*x^6 - a*c^4*x^4 - 18*a*c^2*x^2 + 15*a)*sqrt(-c^2*d*x^2 + d))/(c^2*x^9 - x^7)]","A",0
65,1,203,0,0.518571," ","integrate(x^5*(a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","\frac{105 \, {\left(15 \, b c^{8} x^{8} - 18 \, b c^{6} x^{6} - b c^{4} x^{4} - 4 \, b c^{2} x^{2} + 8 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(225 \, b c^{7} x^{7} - 63 \, b c^{5} x^{5} - 140 \, b c^{3} x^{3} - 840 \, b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 105 \, {\left(15 \, a c^{8} x^{8} - 18 \, a c^{6} x^{6} - a c^{4} x^{4} - 4 \, a c^{2} x^{2} + 8 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{11025 \, {\left(c^{8} x^{2} - c^{6}\right)}}"," ",0,"1/11025*(105*(15*b*c^8*x^8 - 18*b*c^6*x^6 - b*c^4*x^4 - 4*b*c^2*x^2 + 8*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (225*b*c^7*x^7 - 63*b*c^5*x^5 - 140*b*c^3*x^3 - 840*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 105*(15*a*c^8*x^8 - 18*a*c^6*x^6 - a*c^4*x^4 - 4*a*c^2*x^2 + 8*a)*sqrt(-c^2*d*x^2 + d))/(c^8*x^2 - c^6)","A",0
66,1,176,0,0.506627," ","integrate(x^3*(a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","\frac{15 \, {\left(3 \, b c^{6} x^{6} - 4 \, b c^{4} x^{4} - b c^{2} x^{2} + 2 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(9 \, b c^{5} x^{5} - 5 \, b c^{3} x^{3} - 30 \, b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 15 \, {\left(3 \, a c^{6} x^{6} - 4 \, a c^{4} x^{4} - a c^{2} x^{2} + 2 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{225 \, {\left(c^{6} x^{2} - c^{4}\right)}}"," ",0,"1/225*(15*(3*b*c^6*x^6 - 4*b*c^4*x^4 - b*c^2*x^2 + 2*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (9*b*c^5*x^5 - 5*b*c^3*x^3 - 30*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 15*(3*a*c^6*x^6 - 4*a*c^4*x^4 - a*c^2*x^2 + 2*a)*sqrt(-c^2*d*x^2 + d))/(c^6*x^2 - c^4)","A",0
67,1,142,0,0.833278," ","integrate(x*(a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","\frac{3 \, {\left(b c^{4} x^{4} - 2 \, b c^{2} x^{2} + b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(b c^{3} x^{3} - 3 \, b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 3 \, {\left(a c^{4} x^{4} - 2 \, a c^{2} x^{2} + a\right)} \sqrt{-c^{2} d x^{2} + d}}{9 \, {\left(c^{4} x^{2} - c^{2}\right)}}"," ",0,"1/9*(3*(b*c^4*x^4 - 2*b*c^2*x^2 + b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (b*c^3*x^3 - 3*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 3*(a*c^4*x^4 - 2*a*c^2*x^2 + a)*sqrt(-c^2*d*x^2 + d))/(c^4*x^2 - c^2)","A",0
68,0,0,0,0.601609," ","integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{x}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/x, x)","F",0
69,0,0,0,0.561453," ","integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{x^{3}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/x^3, x)","F",0
70,0,0,0,0.487128," ","integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2)/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{x^{5}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/x^5, x)","F",0
71,0,0,0,1.065137," ","integrate(x^4*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{2} d x^{6} - a d x^{4} + {\left(b c^{2} d x^{6} - b d x^{4}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a*c^2*d*x^6 - a*d*x^4 + (b*c^2*d*x^6 - b*d*x^4)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
72,0,0,0,0.518563," ","integrate(x^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{2} d x^{4} - a d x^{2} + {\left(b c^{2} d x^{4} - b d x^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a*c^2*d*x^4 - a*d*x^2 + (b*c^2*d*x^4 - b*d*x^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
73,0,0,0,0.631701," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{2} d x^{2} - a d + {\left(b c^{2} d x^{2} - b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a*c^2*d*x^2 - a*d + (b*c^2*d*x^2 - b*d)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
74,0,0,0,0.659925," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a c^{2} d x^{2} - a d + {\left(b c^{2} d x^{2} - b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x^{2}}, x\right)"," ",0,"integral(-(a*c^2*d*x^2 - a*d + (b*c^2*d*x^2 - b*d)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x^2, x)","F",0
75,0,0,0,0.706843," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^4,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a c^{2} d x^{2} - a d + {\left(b c^{2} d x^{2} - b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x^{4}}, x\right)"," ",0,"integral(-(a*c^2*d*x^2 - a*d + (b*c^2*d*x^2 - b*d)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x^4, x)","F",0
76,1,572,0,0.622740," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^6,x, algorithm=""fricas"")","\left[-\frac{4 \, {\left(b c^{6} d x^{6} - 3 \, b c^{4} d x^{4} + 3 \, b c^{2} d x^{2} - b d\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 2 \, {\left(b c^{7} d x^{7} - b c^{5} d x^{5}\right)} \sqrt{-d} \log\left(\frac{c^{2} d x^{6} + c^{2} d x^{2} - d x^{4} - \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{4} - 1\right)} \sqrt{-d} - d}{c^{2} x^{4} - x^{2}}\right) - {\left(4 \, b c^{3} d x^{3} - {\left(4 \, b c^{3} - b c\right)} d x^{5} - b c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 4 \, {\left(a c^{6} d x^{6} - 3 \, a c^{4} d x^{4} + 3 \, a c^{2} d x^{2} - a d\right)} \sqrt{-c^{2} d x^{2} + d}}{20 \, {\left(c^{2} x^{7} - x^{5}\right)}}, \frac{4 \, {\left(b c^{7} d x^{7} - b c^{5} d x^{5}\right)} \sqrt{d} \arctan\left(\frac{\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{2} + 1\right)} \sqrt{d}}{c^{2} d x^{4} - {\left(c^{2} + 1\right)} d x^{2} + d}\right) - 4 \, {\left(b c^{6} d x^{6} - 3 \, b c^{4} d x^{4} + 3 \, b c^{2} d x^{2} - b d\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(4 \, b c^{3} d x^{3} - {\left(4 \, b c^{3} - b c\right)} d x^{5} - b c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 4 \, {\left(a c^{6} d x^{6} - 3 \, a c^{4} d x^{4} + 3 \, a c^{2} d x^{2} - a d\right)} \sqrt{-c^{2} d x^{2} + d}}{20 \, {\left(c^{2} x^{7} - x^{5}\right)}}\right]"," ",0,"[-1/20*(4*(b*c^6*d*x^6 - 3*b*c^4*d*x^4 + 3*b*c^2*d*x^2 - b*d)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - 2*(b*c^7*d*x^7 - b*c^5*d*x^5)*sqrt(-d)*log((c^2*d*x^6 + c^2*d*x^2 - d*x^4 - sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^4 - 1)*sqrt(-d) - d)/(c^2*x^4 - x^2)) - (4*b*c^3*d*x^3 - (4*b*c^3 - b*c)*d*x^5 - b*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 4*(a*c^6*d*x^6 - 3*a*c^4*d*x^4 + 3*a*c^2*d*x^2 - a*d)*sqrt(-c^2*d*x^2 + d))/(c^2*x^7 - x^5), 1/20*(4*(b*c^7*d*x^7 - b*c^5*d*x^5)*sqrt(d)*arctan(sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^2 + 1)*sqrt(d)/(c^2*d*x^4 - (c^2 + 1)*d*x^2 + d)) - 4*(b*c^6*d*x^6 - 3*b*c^4*d*x^4 + 3*b*c^2*d*x^2 - b*d)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + (4*b*c^3*d*x^3 - (4*b*c^3 - b*c)*d*x^5 - b*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 4*(a*c^6*d*x^6 - 3*a*c^4*d*x^4 + 3*a*c^2*d*x^2 - a*d)*sqrt(-c^2*d*x^2 + d))/(c^2*x^7 - x^5)]","A",0
77,1,648,0,1.456459," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^8,x, algorithm=""fricas"")","\left[-\frac{6 \, {\left(2 \, b c^{8} d x^{8} - b c^{6} d x^{6} - 9 \, b c^{4} d x^{4} + 13 \, b c^{2} d x^{2} - 5 \, b d\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 6 \, {\left(b c^{9} d x^{9} - b c^{7} d x^{7}\right)} \sqrt{-d} \log\left(\frac{c^{2} d x^{6} + c^{2} d x^{2} - d x^{4} - \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{4} - 1\right)} \sqrt{-d} - d}{c^{2} x^{4} - x^{2}}\right) + {\left(3 \, b c^{5} d x^{5} - {\left(3 \, b c^{5} - 12 \, b c^{3} + 5 \, b c\right)} d x^{7} - 12 \, b c^{3} d x^{3} + 5 \, b c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 6 \, {\left(2 \, a c^{8} d x^{8} - a c^{6} d x^{6} - 9 \, a c^{4} d x^{4} + 13 \, a c^{2} d x^{2} - 5 \, a d\right)} \sqrt{-c^{2} d x^{2} + d}}{210 \, {\left(c^{2} x^{9} - x^{7}\right)}}, \frac{12 \, {\left(b c^{9} d x^{9} - b c^{7} d x^{7}\right)} \sqrt{d} \arctan\left(\frac{\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{2} + 1\right)} \sqrt{d}}{c^{2} d x^{4} - {\left(c^{2} + 1\right)} d x^{2} + d}\right) - 6 \, {\left(2 \, b c^{8} d x^{8} - b c^{6} d x^{6} - 9 \, b c^{4} d x^{4} + 13 \, b c^{2} d x^{2} - 5 \, b d\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(3 \, b c^{5} d x^{5} - {\left(3 \, b c^{5} - 12 \, b c^{3} + 5 \, b c\right)} d x^{7} - 12 \, b c^{3} d x^{3} + 5 \, b c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 6 \, {\left(2 \, a c^{8} d x^{8} - a c^{6} d x^{6} - 9 \, a c^{4} d x^{4} + 13 \, a c^{2} d x^{2} - 5 \, a d\right)} \sqrt{-c^{2} d x^{2} + d}}{210 \, {\left(c^{2} x^{9} - x^{7}\right)}}\right]"," ",0,"[-1/210*(6*(2*b*c^8*d*x^8 - b*c^6*d*x^6 - 9*b*c^4*d*x^4 + 13*b*c^2*d*x^2 - 5*b*d)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - 6*(b*c^9*d*x^9 - b*c^7*d*x^7)*sqrt(-d)*log((c^2*d*x^6 + c^2*d*x^2 - d*x^4 - sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^4 - 1)*sqrt(-d) - d)/(c^2*x^4 - x^2)) + (3*b*c^5*d*x^5 - (3*b*c^5 - 12*b*c^3 + 5*b*c)*d*x^7 - 12*b*c^3*d*x^3 + 5*b*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 6*(2*a*c^8*d*x^8 - a*c^6*d*x^6 - 9*a*c^4*d*x^4 + 13*a*c^2*d*x^2 - 5*a*d)*sqrt(-c^2*d*x^2 + d))/(c^2*x^9 - x^7), 1/210*(12*(b*c^9*d*x^9 - b*c^7*d*x^7)*sqrt(d)*arctan(sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^2 + 1)*sqrt(d)/(c^2*d*x^4 - (c^2 + 1)*d*x^2 + d)) - 6*(2*b*c^8*d*x^8 - b*c^6*d*x^6 - 9*b*c^4*d*x^4 + 13*b*c^2*d*x^2 - 5*b*d)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (3*b*c^5*d*x^5 - (3*b*c^5 - 12*b*c^3 + 5*b*c)*d*x^7 - 12*b*c^3*d*x^3 + 5*b*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 6*(2*a*c^8*d*x^8 - a*c^6*d*x^6 - 9*a*c^4*d*x^4 + 13*a*c^2*d*x^2 - 5*a*d)*sqrt(-c^2*d*x^2 + d))/(c^2*x^9 - x^7)]","A",0
78,1,720,0,0.666105," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^10,x, algorithm=""fricas"")","\left[-\frac{24 \, {\left(8 \, b c^{10} d x^{10} - 4 \, b c^{8} d x^{8} - b c^{6} d x^{6} - 53 \, b c^{4} d x^{4} + 85 \, b c^{2} d x^{2} - 35 \, b d\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 96 \, {\left(b c^{11} d x^{11} - b c^{9} d x^{9}\right)} \sqrt{-d} \log\left(\frac{c^{2} d x^{6} + c^{2} d x^{2} - d x^{4} - \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{4} - 1\right)} \sqrt{-d} - d}{c^{2} x^{4} - x^{2}}\right) + {\left(48 \, b c^{7} d x^{7} + 18 \, b c^{5} d x^{5} - {\left(48 \, b c^{7} + 18 \, b c^{5} - 200 \, b c^{3} + 105 \, b c\right)} d x^{9} - 200 \, b c^{3} d x^{3} + 105 \, b c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 24 \, {\left(8 \, a c^{10} d x^{10} - 4 \, a c^{8} d x^{8} - a c^{6} d x^{6} - 53 \, a c^{4} d x^{4} + 85 \, a c^{2} d x^{2} - 35 \, a d\right)} \sqrt{-c^{2} d x^{2} + d}}{7560 \, {\left(c^{2} x^{11} - x^{9}\right)}}, \frac{192 \, {\left(b c^{11} d x^{11} - b c^{9} d x^{9}\right)} \sqrt{d} \arctan\left(\frac{\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{2} + 1\right)} \sqrt{d}}{c^{2} d x^{4} - {\left(c^{2} + 1\right)} d x^{2} + d}\right) - 24 \, {\left(8 \, b c^{10} d x^{10} - 4 \, b c^{8} d x^{8} - b c^{6} d x^{6} - 53 \, b c^{4} d x^{4} + 85 \, b c^{2} d x^{2} - 35 \, b d\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(48 \, b c^{7} d x^{7} + 18 \, b c^{5} d x^{5} - {\left(48 \, b c^{7} + 18 \, b c^{5} - 200 \, b c^{3} + 105 \, b c\right)} d x^{9} - 200 \, b c^{3} d x^{3} + 105 \, b c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 24 \, {\left(8 \, a c^{10} d x^{10} - 4 \, a c^{8} d x^{8} - a c^{6} d x^{6} - 53 \, a c^{4} d x^{4} + 85 \, a c^{2} d x^{2} - 35 \, a d\right)} \sqrt{-c^{2} d x^{2} + d}}{7560 \, {\left(c^{2} x^{11} - x^{9}\right)}}\right]"," ",0,"[-1/7560*(24*(8*b*c^10*d*x^10 - 4*b*c^8*d*x^8 - b*c^6*d*x^6 - 53*b*c^4*d*x^4 + 85*b*c^2*d*x^2 - 35*b*d)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - 96*(b*c^11*d*x^11 - b*c^9*d*x^9)*sqrt(-d)*log((c^2*d*x^6 + c^2*d*x^2 - d*x^4 - sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^4 - 1)*sqrt(-d) - d)/(c^2*x^4 - x^2)) + (48*b*c^7*d*x^7 + 18*b*c^5*d*x^5 - (48*b*c^7 + 18*b*c^5 - 200*b*c^3 + 105*b*c)*d*x^9 - 200*b*c^3*d*x^3 + 105*b*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 24*(8*a*c^10*d*x^10 - 4*a*c^8*d*x^8 - a*c^6*d*x^6 - 53*a*c^4*d*x^4 + 85*a*c^2*d*x^2 - 35*a*d)*sqrt(-c^2*d*x^2 + d))/(c^2*x^11 - x^9), 1/7560*(192*(b*c^11*d*x^11 - b*c^9*d*x^9)*sqrt(d)*arctan(sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^2 + 1)*sqrt(d)/(c^2*d*x^4 - (c^2 + 1)*d*x^2 + d)) - 24*(8*b*c^10*d*x^10 - 4*b*c^8*d*x^8 - b*c^6*d*x^6 - 53*b*c^4*d*x^4 + 85*b*c^2*d*x^2 - 35*b*d)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (48*b*c^7*d*x^7 + 18*b*c^5*d*x^5 - (48*b*c^7 + 18*b*c^5 - 200*b*c^3 + 105*b*c)*d*x^9 - 200*b*c^3*d*x^3 + 105*b*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 24*(8*a*c^10*d*x^10 - 4*a*c^8*d*x^8 - a*c^6*d*x^6 - 53*a*c^4*d*x^4 + 85*a*c^2*d*x^2 - 35*a*d)*sqrt(-c^2*d*x^2 + d))/(c^2*x^11 - x^9)]","A",0
79,1,792,0,0.652471," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^12,x, algorithm=""fricas"")","\left[-\frac{6 \, {\left(16 \, b c^{12} d x^{12} - 8 \, b c^{10} d x^{10} - 2 \, b c^{8} d x^{8} - b c^{6} d x^{6} - 145 \, b c^{4} d x^{4} + 245 \, b c^{2} d x^{2} - 105 \, b d\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 48 \, {\left(b c^{13} d x^{13} - b c^{11} d x^{11}\right)} \sqrt{-d} \log\left(\frac{c^{2} d x^{6} + c^{2} d x^{2} - d x^{4} - \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{4} - 1\right)} \sqrt{-d} - d}{c^{2} x^{4} - x^{2}}\right) + {\left(24 \, b c^{9} d x^{9} + 9 \, b c^{7} d x^{7} - {\left(24 \, b c^{9} + 9 \, b c^{7} + 5 \, b c^{5} - 105 \, b c^{3} + 63 \, b c\right)} d x^{11} + 5 \, b c^{5} d x^{5} - 105 \, b c^{3} d x^{3} + 63 \, b c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 6 \, {\left(16 \, a c^{12} d x^{12} - 8 \, a c^{10} d x^{10} - 2 \, a c^{8} d x^{8} - a c^{6} d x^{6} - 145 \, a c^{4} d x^{4} + 245 \, a c^{2} d x^{2} - 105 \, a d\right)} \sqrt{-c^{2} d x^{2} + d}}{6930 \, {\left(c^{2} x^{13} - x^{11}\right)}}, \frac{96 \, {\left(b c^{13} d x^{13} - b c^{11} d x^{11}\right)} \sqrt{d} \arctan\left(\frac{\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{2} + 1\right)} \sqrt{d}}{c^{2} d x^{4} - {\left(c^{2} + 1\right)} d x^{2} + d}\right) - 6 \, {\left(16 \, b c^{12} d x^{12} - 8 \, b c^{10} d x^{10} - 2 \, b c^{8} d x^{8} - b c^{6} d x^{6} - 145 \, b c^{4} d x^{4} + 245 \, b c^{2} d x^{2} - 105 \, b d\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(24 \, b c^{9} d x^{9} + 9 \, b c^{7} d x^{7} - {\left(24 \, b c^{9} + 9 \, b c^{7} + 5 \, b c^{5} - 105 \, b c^{3} + 63 \, b c\right)} d x^{11} + 5 \, b c^{5} d x^{5} - 105 \, b c^{3} d x^{3} + 63 \, b c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 6 \, {\left(16 \, a c^{12} d x^{12} - 8 \, a c^{10} d x^{10} - 2 \, a c^{8} d x^{8} - a c^{6} d x^{6} - 145 \, a c^{4} d x^{4} + 245 \, a c^{2} d x^{2} - 105 \, a d\right)} \sqrt{-c^{2} d x^{2} + d}}{6930 \, {\left(c^{2} x^{13} - x^{11}\right)}}\right]"," ",0,"[-1/6930*(6*(16*b*c^12*d*x^12 - 8*b*c^10*d*x^10 - 2*b*c^8*d*x^8 - b*c^6*d*x^6 - 145*b*c^4*d*x^4 + 245*b*c^2*d*x^2 - 105*b*d)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - 48*(b*c^13*d*x^13 - b*c^11*d*x^11)*sqrt(-d)*log((c^2*d*x^6 + c^2*d*x^2 - d*x^4 - sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^4 - 1)*sqrt(-d) - d)/(c^2*x^4 - x^2)) + (24*b*c^9*d*x^9 + 9*b*c^7*d*x^7 - (24*b*c^9 + 9*b*c^7 + 5*b*c^5 - 105*b*c^3 + 63*b*c)*d*x^11 + 5*b*c^5*d*x^5 - 105*b*c^3*d*x^3 + 63*b*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 6*(16*a*c^12*d*x^12 - 8*a*c^10*d*x^10 - 2*a*c^8*d*x^8 - a*c^6*d*x^6 - 145*a*c^4*d*x^4 + 245*a*c^2*d*x^2 - 105*a*d)*sqrt(-c^2*d*x^2 + d))/(c^2*x^13 - x^11), 1/6930*(96*(b*c^13*d*x^13 - b*c^11*d*x^11)*sqrt(d)*arctan(sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^2 + 1)*sqrt(d)/(c^2*d*x^4 - (c^2 + 1)*d*x^2 + d)) - 6*(16*b*c^12*d*x^12 - 8*b*c^10*d*x^10 - 2*b*c^8*d*x^8 - b*c^6*d*x^6 - 145*b*c^4*d*x^4 + 245*b*c^2*d*x^2 - 105*b*d)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (24*b*c^9*d*x^9 + 9*b*c^7*d*x^7 - (24*b*c^9 + 9*b*c^7 + 5*b*c^5 - 105*b*c^3 + 63*b*c)*d*x^11 + 5*b*c^5*d*x^5 - 105*b*c^3*d*x^3 + 63*b*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 6*(16*a*c^12*d*x^12 - 8*a*c^10*d*x^10 - 2*a*c^8*d*x^8 - a*c^6*d*x^6 - 145*a*c^4*d*x^4 + 245*a*c^2*d*x^2 - 105*a*d)*sqrt(-c^2*d*x^2 + d))/(c^2*x^13 - x^11)]","A",0
80,1,275,0,0.687351," ","integrate(x^7*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","-\frac{3465 \, {\left(105 \, b c^{12} d x^{12} - 245 \, b c^{10} d x^{10} + 145 \, b c^{8} d x^{8} + b c^{6} d x^{6} + 2 \, b c^{4} d x^{4} + 8 \, b c^{2} d x^{2} - 16 \, b d\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(33075 \, b c^{11} d x^{11} - 53900 \, b c^{9} d x^{9} + 2475 \, b c^{7} d x^{7} + 4158 \, b c^{5} d x^{5} + 9240 \, b c^{3} d x^{3} + 55440 \, b c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 3465 \, {\left(105 \, a c^{12} d x^{12} - 245 \, a c^{10} d x^{10} + 145 \, a c^{8} d x^{8} + a c^{6} d x^{6} + 2 \, a c^{4} d x^{4} + 8 \, a c^{2} d x^{2} - 16 \, a d\right)} \sqrt{-c^{2} d x^{2} + d}}{4002075 \, {\left(c^{10} x^{2} - c^{8}\right)}}"," ",0,"-1/4002075*(3465*(105*b*c^12*d*x^12 - 245*b*c^10*d*x^10 + 145*b*c^8*d*x^8 + b*c^6*d*x^6 + 2*b*c^4*d*x^4 + 8*b*c^2*d*x^2 - 16*b*d)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (33075*b*c^11*d*x^11 - 53900*b*c^9*d*x^9 + 2475*b*c^7*d*x^7 + 4158*b*c^5*d*x^5 + 9240*b*c^3*d*x^3 + 55440*b*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 3465*(105*a*c^12*d*x^12 - 245*a*c^10*d*x^10 + 145*a*c^8*d*x^8 + a*c^6*d*x^6 + 2*a*c^4*d*x^4 + 8*a*c^2*d*x^2 - 16*a*d)*sqrt(-c^2*d*x^2 + d))/(c^10*x^2 - c^8)","A",0
81,1,245,0,0.648032," ","integrate(x^5*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","-\frac{315 \, {\left(35 \, b c^{10} d x^{10} - 85 \, b c^{8} d x^{8} + 53 \, b c^{6} d x^{6} + b c^{4} d x^{4} + 4 \, b c^{2} d x^{2} - 8 \, b d\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(1225 \, b c^{9} d x^{9} - 2250 \, b c^{7} d x^{7} + 189 \, b c^{5} d x^{5} + 420 \, b c^{3} d x^{3} + 2520 \, b c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 315 \, {\left(35 \, a c^{10} d x^{10} - 85 \, a c^{8} d x^{8} + 53 \, a c^{6} d x^{6} + a c^{4} d x^{4} + 4 \, a c^{2} d x^{2} - 8 \, a d\right)} \sqrt{-c^{2} d x^{2} + d}}{99225 \, {\left(c^{8} x^{2} - c^{6}\right)}}"," ",0,"-1/99225*(315*(35*b*c^10*d*x^10 - 85*b*c^8*d*x^8 + 53*b*c^6*d*x^6 + b*c^4*d*x^4 + 4*b*c^2*d*x^2 - 8*b*d)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (1225*b*c^9*d*x^9 - 2250*b*c^7*d*x^7 + 189*b*c^5*d*x^5 + 420*b*c^3*d*x^3 + 2520*b*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 315*(35*a*c^10*d*x^10 - 85*a*c^8*d*x^8 + 53*a*c^6*d*x^6 + a*c^4*d*x^4 + 4*a*c^2*d*x^2 - 8*a*d)*sqrt(-c^2*d*x^2 + d))/(c^8*x^2 - c^6)","A",0
82,1,215,0,0.633667," ","integrate(x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","-\frac{105 \, {\left(5 \, b c^{8} d x^{8} - 13 \, b c^{6} d x^{6} + 9 \, b c^{4} d x^{4} + b c^{2} d x^{2} - 2 \, b d\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(75 \, b c^{7} d x^{7} - 168 \, b c^{5} d x^{5} + 35 \, b c^{3} d x^{3} + 210 \, b c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 105 \, {\left(5 \, a c^{8} d x^{8} - 13 \, a c^{6} d x^{6} + 9 \, a c^{4} d x^{4} + a c^{2} d x^{2} - 2 \, a d\right)} \sqrt{-c^{2} d x^{2} + d}}{3675 \, {\left(c^{6} x^{2} - c^{4}\right)}}"," ",0,"-1/3675*(105*(5*b*c^8*d*x^8 - 13*b*c^6*d*x^6 + 9*b*c^4*d*x^4 + b*c^2*d*x^2 - 2*b*d)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (75*b*c^7*d*x^7 - 168*b*c^5*d*x^5 + 35*b*c^3*d*x^3 + 210*b*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 105*(5*a*c^8*d*x^8 - 13*a*c^6*d*x^6 + 9*a*c^4*d*x^4 + a*c^2*d*x^2 - 2*a*d)*sqrt(-c^2*d*x^2 + d))/(c^6*x^2 - c^4)","A",0
83,1,185,0,0.571193," ","integrate(x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","-\frac{15 \, {\left(b c^{6} d x^{6} - 3 \, b c^{4} d x^{4} + 3 \, b c^{2} d x^{2} - b d\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(3 \, b c^{5} d x^{5} - 10 \, b c^{3} d x^{3} + 15 \, b c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 15 \, {\left(a c^{6} d x^{6} - 3 \, a c^{4} d x^{4} + 3 \, a c^{2} d x^{2} - a d\right)} \sqrt{-c^{2} d x^{2} + d}}{75 \, {\left(c^{4} x^{2} - c^{2}\right)}}"," ",0,"-1/75*(15*(b*c^6*d*x^6 - 3*b*c^4*d*x^4 + 3*b*c^2*d*x^2 - b*d)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (3*b*c^5*d*x^5 - 10*b*c^3*d*x^3 + 15*b*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 15*(a*c^6*d*x^6 - 3*a*c^4*d*x^4 + 3*a*c^2*d*x^2 - a*d)*sqrt(-c^2*d*x^2 + d))/(c^4*x^2 - c^2)","A",0
84,0,0,0,0.529377," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a c^{2} d x^{2} - a d + {\left(b c^{2} d x^{2} - b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x}, x\right)"," ",0,"integral(-(a*c^2*d*x^2 - a*d + (b*c^2*d*x^2 - b*d)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x, x)","F",0
85,0,0,0,0.807437," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a c^{2} d x^{2} - a d + {\left(b c^{2} d x^{2} - b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x^{3}}, x\right)"," ",0,"integral(-(a*c^2*d*x^2 - a*d + (b*c^2*d*x^2 - b*d)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x^3, x)","F",0
86,0,0,0,0.610411," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^5,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a c^{2} d x^{2} - a d + {\left(b c^{2} d x^{2} - b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x^{5}}, x\right)"," ",0,"integral(-(a*c^2*d*x^2 - a*d + (b*c^2*d*x^2 - b*d)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x^5, x)","F",0
87,0,0,0,0.448412," ","integrate(x^4*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} x^{8} - 2 \, a c^{2} d^{2} x^{6} + a d^{2} x^{4} + {\left(b c^{4} d^{2} x^{8} - 2 \, b c^{2} d^{2} x^{6} + b d^{2} x^{4}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a*c^4*d^2*x^8 - 2*a*c^2*d^2*x^6 + a*d^2*x^4 + (b*c^4*d^2*x^8 - 2*b*c^2*d^2*x^6 + b*d^2*x^4)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
88,0,0,0,0.462460," ","integrate(x^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} x^{6} - 2 \, a c^{2} d^{2} x^{4} + a d^{2} x^{2} + {\left(b c^{4} d^{2} x^{6} - 2 \, b c^{2} d^{2} x^{4} + b d^{2} x^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a*c^4*d^2*x^6 - 2*a*c^2*d^2*x^4 + a*d^2*x^2 + (b*c^4*d^2*x^6 - 2*b*c^2*d^2*x^4 + b*d^2*x^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
89,0,0,0,0.604878," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} x^{4} - 2 \, a c^{2} d^{2} x^{2} + a d^{2} + {\left(b c^{4} d^{2} x^{4} - 2 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a*c^4*d^2*x^4 - 2*a*c^2*d^2*x^2 + a*d^2 + (b*c^4*d^2*x^4 - 2*b*c^2*d^2*x^2 + b*d^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
90,0,0,0,0.513062," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a c^{4} d^{2} x^{4} - 2 \, a c^{2} d^{2} x^{2} + a d^{2} + {\left(b c^{4} d^{2} x^{4} - 2 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x^{2}}, x\right)"," ",0,"integral((a*c^4*d^2*x^4 - 2*a*c^2*d^2*x^2 + a*d^2 + (b*c^4*d^2*x^4 - 2*b*c^2*d^2*x^2 + b*d^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x^2, x)","F",0
91,0,0,0,0.796320," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a c^{4} d^{2} x^{4} - 2 \, a c^{2} d^{2} x^{2} + a d^{2} + {\left(b c^{4} d^{2} x^{4} - 2 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x^{4}}, x\right)"," ",0,"integral((a*c^4*d^2*x^4 - 2*a*c^2*d^2*x^2 + a*d^2 + (b*c^4*d^2*x^4 - 2*b*c^2*d^2*x^2 + b*d^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x^4, x)","F",0
92,0,0,0,0.544318," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a c^{4} d^{2} x^{4} - 2 \, a c^{2} d^{2} x^{2} + a d^{2} + {\left(b c^{4} d^{2} x^{4} - 2 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x^{6}}, x\right)"," ",0,"integral((a*c^4*d^2*x^4 - 2*a*c^2*d^2*x^2 + a*d^2 + (b*c^4*d^2*x^4 - 2*b*c^2*d^2*x^2 + b*d^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x^6, x)","F",0
93,1,703,0,0.588677," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^8,x, algorithm=""fricas"")","\left[\frac{12 \, {\left(b c^{8} d^{2} x^{8} - 4 \, b c^{6} d^{2} x^{6} + 6 \, b c^{4} d^{2} x^{4} - 4 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 6 \, {\left(b c^{9} d^{2} x^{9} - b c^{7} d^{2} x^{7}\right)} \sqrt{-d} \log\left(\frac{c^{2} d x^{6} + c^{2} d x^{2} - d x^{4} + \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{4} - 1\right)} \sqrt{-d} - d}{c^{2} x^{4} - x^{2}}\right) - {\left(18 \, b c^{5} d^{2} x^{5} - {\left(18 \, b c^{5} - 9 \, b c^{3} + 2 \, b c\right)} d^{2} x^{7} - 9 \, b c^{3} d^{2} x^{3} + 2 \, b c d^{2} x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 12 \, {\left(a c^{8} d^{2} x^{8} - 4 \, a c^{6} d^{2} x^{6} + 6 \, a c^{4} d^{2} x^{4} - 4 \, a c^{2} d^{2} x^{2} + a d^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{84 \, {\left(c^{2} x^{9} - x^{7}\right)}}, -\frac{12 \, {\left(b c^{9} d^{2} x^{9} - b c^{7} d^{2} x^{7}\right)} \sqrt{d} \arctan\left(\frac{\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{2} + 1\right)} \sqrt{d}}{c^{2} d x^{4} - {\left(c^{2} + 1\right)} d x^{2} + d}\right) - 12 \, {\left(b c^{8} d^{2} x^{8} - 4 \, b c^{6} d^{2} x^{6} + 6 \, b c^{4} d^{2} x^{4} - 4 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(18 \, b c^{5} d^{2} x^{5} - {\left(18 \, b c^{5} - 9 \, b c^{3} + 2 \, b c\right)} d^{2} x^{7} - 9 \, b c^{3} d^{2} x^{3} + 2 \, b c d^{2} x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 12 \, {\left(a c^{8} d^{2} x^{8} - 4 \, a c^{6} d^{2} x^{6} + 6 \, a c^{4} d^{2} x^{4} - 4 \, a c^{2} d^{2} x^{2} + a d^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{84 \, {\left(c^{2} x^{9} - x^{7}\right)}}\right]"," ",0,"[1/84*(12*(b*c^8*d^2*x^8 - 4*b*c^6*d^2*x^6 + 6*b*c^4*d^2*x^4 - 4*b*c^2*d^2*x^2 + b*d^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + 6*(b*c^9*d^2*x^9 - b*c^7*d^2*x^7)*sqrt(-d)*log((c^2*d*x^6 + c^2*d*x^2 - d*x^4 + sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^4 - 1)*sqrt(-d) - d)/(c^2*x^4 - x^2)) - (18*b*c^5*d^2*x^5 - (18*b*c^5 - 9*b*c^3 + 2*b*c)*d^2*x^7 - 9*b*c^3*d^2*x^3 + 2*b*c*d^2*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 12*(a*c^8*d^2*x^8 - 4*a*c^6*d^2*x^6 + 6*a*c^4*d^2*x^4 - 4*a*c^2*d^2*x^2 + a*d^2)*sqrt(-c^2*d*x^2 + d))/(c^2*x^9 - x^7), -1/84*(12*(b*c^9*d^2*x^9 - b*c^7*d^2*x^7)*sqrt(d)*arctan(sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^2 + 1)*sqrt(d)/(c^2*d*x^4 - (c^2 + 1)*d*x^2 + d)) - 12*(b*c^8*d^2*x^8 - 4*b*c^6*d^2*x^6 + 6*b*c^4*d^2*x^4 - 4*b*c^2*d^2*x^2 + b*d^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + (18*b*c^5*d^2*x^5 - (18*b*c^5 - 9*b*c^3 + 2*b*c)*d^2*x^7 - 9*b*c^3*d^2*x^3 + 2*b*c*d^2*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 12*(a*c^8*d^2*x^8 - 4*a*c^6*d^2*x^6 + 6*a*c^4*d^2*x^4 - 4*a*c^2*d^2*x^2 + a*d^2)*sqrt(-c^2*d*x^2 + d))/(c^2*x^9 - x^7)]","A",0
94,1,795,0,0.707147," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^10,x, algorithm=""fricas"")","\left[\frac{24 \, {\left(2 \, b c^{10} d^{2} x^{10} - b c^{8} d^{2} x^{8} - 16 \, b c^{6} d^{2} x^{6} + 34 \, b c^{4} d^{2} x^{4} - 26 \, b c^{2} d^{2} x^{2} + 7 \, b d^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 24 \, {\left(b c^{11} d^{2} x^{11} - b c^{9} d^{2} x^{9}\right)} \sqrt{-d} \log\left(\frac{c^{2} d x^{6} + c^{2} d x^{2} - d x^{4} + \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{4} - 1\right)} \sqrt{-d} - d}{c^{2} x^{4} - x^{2}}\right) + {\left(12 \, b c^{7} d^{2} x^{7} - 90 \, b c^{5} d^{2} x^{5} - {\left(12 \, b c^{7} - 90 \, b c^{5} + 76 \, b c^{3} - 21 \, b c\right)} d^{2} x^{9} + 76 \, b c^{3} d^{2} x^{3} - 21 \, b c d^{2} x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 24 \, {\left(2 \, a c^{10} d^{2} x^{10} - a c^{8} d^{2} x^{8} - 16 \, a c^{6} d^{2} x^{6} + 34 \, a c^{4} d^{2} x^{4} - 26 \, a c^{2} d^{2} x^{2} + 7 \, a d^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{1512 \, {\left(c^{2} x^{11} - x^{9}\right)}}, -\frac{48 \, {\left(b c^{11} d^{2} x^{11} - b c^{9} d^{2} x^{9}\right)} \sqrt{d} \arctan\left(\frac{\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{2} + 1\right)} \sqrt{d}}{c^{2} d x^{4} - {\left(c^{2} + 1\right)} d x^{2} + d}\right) - 24 \, {\left(2 \, b c^{10} d^{2} x^{10} - b c^{8} d^{2} x^{8} - 16 \, b c^{6} d^{2} x^{6} + 34 \, b c^{4} d^{2} x^{4} - 26 \, b c^{2} d^{2} x^{2} + 7 \, b d^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(12 \, b c^{7} d^{2} x^{7} - 90 \, b c^{5} d^{2} x^{5} - {\left(12 \, b c^{7} - 90 \, b c^{5} + 76 \, b c^{3} - 21 \, b c\right)} d^{2} x^{9} + 76 \, b c^{3} d^{2} x^{3} - 21 \, b c d^{2} x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 24 \, {\left(2 \, a c^{10} d^{2} x^{10} - a c^{8} d^{2} x^{8} - 16 \, a c^{6} d^{2} x^{6} + 34 \, a c^{4} d^{2} x^{4} - 26 \, a c^{2} d^{2} x^{2} + 7 \, a d^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{1512 \, {\left(c^{2} x^{11} - x^{9}\right)}}\right]"," ",0,"[1/1512*(24*(2*b*c^10*d^2*x^10 - b*c^8*d^2*x^8 - 16*b*c^6*d^2*x^6 + 34*b*c^4*d^2*x^4 - 26*b*c^2*d^2*x^2 + 7*b*d^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + 24*(b*c^11*d^2*x^11 - b*c^9*d^2*x^9)*sqrt(-d)*log((c^2*d*x^6 + c^2*d*x^2 - d*x^4 + sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^4 - 1)*sqrt(-d) - d)/(c^2*x^4 - x^2)) + (12*b*c^7*d^2*x^7 - 90*b*c^5*d^2*x^5 - (12*b*c^7 - 90*b*c^5 + 76*b*c^3 - 21*b*c)*d^2*x^9 + 76*b*c^3*d^2*x^3 - 21*b*c*d^2*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 24*(2*a*c^10*d^2*x^10 - a*c^8*d^2*x^8 - 16*a*c^6*d^2*x^6 + 34*a*c^4*d^2*x^4 - 26*a*c^2*d^2*x^2 + 7*a*d^2)*sqrt(-c^2*d*x^2 + d))/(c^2*x^11 - x^9), -1/1512*(48*(b*c^11*d^2*x^11 - b*c^9*d^2*x^9)*sqrt(d)*arctan(sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^2 + 1)*sqrt(d)/(c^2*d*x^4 - (c^2 + 1)*d*x^2 + d)) - 24*(2*b*c^10*d^2*x^10 - b*c^8*d^2*x^8 - 16*b*c^6*d^2*x^6 + 34*b*c^4*d^2*x^4 - 26*b*c^2*d^2*x^2 + 7*b*d^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (12*b*c^7*d^2*x^7 - 90*b*c^5*d^2*x^5 - (12*b*c^7 - 90*b*c^5 + 76*b*c^3 - 21*b*c)*d^2*x^9 + 76*b*c^3*d^2*x^3 - 21*b*c*d^2*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 24*(2*a*c^10*d^2*x^10 - a*c^8*d^2*x^8 - 16*a*c^6*d^2*x^6 + 34*a*c^4*d^2*x^4 - 26*a*c^2*d^2*x^2 + 7*a*d^2)*sqrt(-c^2*d*x^2 + d))/(c^2*x^11 - x^9)]","A",0
95,1,879,0,0.623101," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^12,x, algorithm=""fricas"")","\left[\frac{120 \, {\left(8 \, b c^{12} d^{2} x^{12} - 4 \, b c^{10} d^{2} x^{10} - b c^{8} d^{2} x^{8} - 116 \, b c^{6} d^{2} x^{6} + 274 \, b c^{4} d^{2} x^{4} - 224 \, b c^{2} d^{2} x^{2} + 63 \, b d^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 480 \, {\left(b c^{13} d^{2} x^{13} - b c^{11} d^{2} x^{11}\right)} \sqrt{-d} \log\left(\frac{c^{2} d x^{6} + c^{2} d x^{2} - d x^{4} + \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{4} - 1\right)} \sqrt{-d} - d}{c^{2} x^{4} - x^{2}}\right) + {\left(240 \, b c^{9} d^{2} x^{9} + 90 \, b c^{7} d^{2} x^{7} - {\left(240 \, b c^{9} + 90 \, b c^{7} - 2260 \, b c^{5} + 2415 \, b c^{3} - 756 \, b c\right)} d^{2} x^{11} - 2260 \, b c^{5} d^{2} x^{5} + 2415 \, b c^{3} d^{2} x^{3} - 756 \, b c d^{2} x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 120 \, {\left(8 \, a c^{12} d^{2} x^{12} - 4 \, a c^{10} d^{2} x^{10} - a c^{8} d^{2} x^{8} - 116 \, a c^{6} d^{2} x^{6} + 274 \, a c^{4} d^{2} x^{4} - 224 \, a c^{2} d^{2} x^{2} + 63 \, a d^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{83160 \, {\left(c^{2} x^{13} - x^{11}\right)}}, -\frac{960 \, {\left(b c^{13} d^{2} x^{13} - b c^{11} d^{2} x^{11}\right)} \sqrt{d} \arctan\left(\frac{\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{2} + 1\right)} \sqrt{d}}{c^{2} d x^{4} - {\left(c^{2} + 1\right)} d x^{2} + d}\right) - 120 \, {\left(8 \, b c^{12} d^{2} x^{12} - 4 \, b c^{10} d^{2} x^{10} - b c^{8} d^{2} x^{8} - 116 \, b c^{6} d^{2} x^{6} + 274 \, b c^{4} d^{2} x^{4} - 224 \, b c^{2} d^{2} x^{2} + 63 \, b d^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(240 \, b c^{9} d^{2} x^{9} + 90 \, b c^{7} d^{2} x^{7} - {\left(240 \, b c^{9} + 90 \, b c^{7} - 2260 \, b c^{5} + 2415 \, b c^{3} - 756 \, b c\right)} d^{2} x^{11} - 2260 \, b c^{5} d^{2} x^{5} + 2415 \, b c^{3} d^{2} x^{3} - 756 \, b c d^{2} x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 120 \, {\left(8 \, a c^{12} d^{2} x^{12} - 4 \, a c^{10} d^{2} x^{10} - a c^{8} d^{2} x^{8} - 116 \, a c^{6} d^{2} x^{6} + 274 \, a c^{4} d^{2} x^{4} - 224 \, a c^{2} d^{2} x^{2} + 63 \, a d^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{83160 \, {\left(c^{2} x^{13} - x^{11}\right)}}\right]"," ",0,"[1/83160*(120*(8*b*c^12*d^2*x^12 - 4*b*c^10*d^2*x^10 - b*c^8*d^2*x^8 - 116*b*c^6*d^2*x^6 + 274*b*c^4*d^2*x^4 - 224*b*c^2*d^2*x^2 + 63*b*d^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + 480*(b*c^13*d^2*x^13 - b*c^11*d^2*x^11)*sqrt(-d)*log((c^2*d*x^6 + c^2*d*x^2 - d*x^4 + sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^4 - 1)*sqrt(-d) - d)/(c^2*x^4 - x^2)) + (240*b*c^9*d^2*x^9 + 90*b*c^7*d^2*x^7 - (240*b*c^9 + 90*b*c^7 - 2260*b*c^5 + 2415*b*c^3 - 756*b*c)*d^2*x^11 - 2260*b*c^5*d^2*x^5 + 2415*b*c^3*d^2*x^3 - 756*b*c*d^2*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 120*(8*a*c^12*d^2*x^12 - 4*a*c^10*d^2*x^10 - a*c^8*d^2*x^8 - 116*a*c^6*d^2*x^6 + 274*a*c^4*d^2*x^4 - 224*a*c^2*d^2*x^2 + 63*a*d^2)*sqrt(-c^2*d*x^2 + d))/(c^2*x^13 - x^11), -1/83160*(960*(b*c^13*d^2*x^13 - b*c^11*d^2*x^11)*sqrt(d)*arctan(sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^2 + 1)*sqrt(d)/(c^2*d*x^4 - (c^2 + 1)*d*x^2 + d)) - 120*(8*b*c^12*d^2*x^12 - 4*b*c^10*d^2*x^10 - b*c^8*d^2*x^8 - 116*b*c^6*d^2*x^6 + 274*b*c^4*d^2*x^4 - 224*b*c^2*d^2*x^2 + 63*b*d^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (240*b*c^9*d^2*x^9 + 90*b*c^7*d^2*x^7 - (240*b*c^9 + 90*b*c^7 - 2260*b*c^5 + 2415*b*c^3 - 756*b*c)*d^2*x^11 - 2260*b*c^5*d^2*x^5 + 2415*b*c^3*d^2*x^3 - 756*b*c*d^2*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 120*(8*a*c^12*d^2*x^12 - 4*a*c^10*d^2*x^10 - a*c^8*d^2*x^8 - 116*a*c^6*d^2*x^6 + 274*a*c^4*d^2*x^4 - 224*a*c^2*d^2*x^2 + 63*a*d^2)*sqrt(-c^2*d*x^2 + d))/(c^2*x^13 - x^11)]","A",0
96,1,353,0,0.628230," ","integrate(x^7*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{45045 \, {\left(231 \, b c^{14} d^{2} x^{14} - 798 \, b c^{12} d^{2} x^{12} + 938 \, b c^{10} d^{2} x^{10} - 376 \, b c^{8} d^{2} x^{8} - b c^{6} d^{2} x^{6} - 2 \, b c^{4} d^{2} x^{4} - 8 \, b c^{2} d^{2} x^{2} + 16 \, b d^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(800415 \, b c^{13} d^{2} x^{13} - 2321865 \, b c^{11} d^{2} x^{11} + 1856855 \, b c^{9} d^{2} x^{9} - 32175 \, b c^{7} d^{2} x^{7} - 54054 \, b c^{5} d^{2} x^{5} - 120120 \, b c^{3} d^{2} x^{3} - 720720 \, b c d^{2} x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 45045 \, {\left(231 \, a c^{14} d^{2} x^{14} - 798 \, a c^{12} d^{2} x^{12} + 938 \, a c^{10} d^{2} x^{10} - 376 \, a c^{8} d^{2} x^{8} - a c^{6} d^{2} x^{6} - 2 \, a c^{4} d^{2} x^{4} - 8 \, a c^{2} d^{2} x^{2} + 16 \, a d^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{135270135 \, {\left(c^{10} x^{2} - c^{8}\right)}}"," ",0,"1/135270135*(45045*(231*b*c^14*d^2*x^14 - 798*b*c^12*d^2*x^12 + 938*b*c^10*d^2*x^10 - 376*b*c^8*d^2*x^8 - b*c^6*d^2*x^6 - 2*b*c^4*d^2*x^4 - 8*b*c^2*d^2*x^2 + 16*b*d^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (800415*b*c^13*d^2*x^13 - 2321865*b*c^11*d^2*x^11 + 1856855*b*c^9*d^2*x^9 - 32175*b*c^7*d^2*x^7 - 54054*b*c^5*d^2*x^5 - 120120*b*c^3*d^2*x^3 - 720720*b*c*d^2*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 45045*(231*a*c^14*d^2*x^14 - 798*a*c^12*d^2*x^12 + 938*a*c^10*d^2*x^10 - 376*a*c^8*d^2*x^8 - a*c^6*d^2*x^6 - 2*a*c^4*d^2*x^4 - 8*a*c^2*d^2*x^2 + 16*a*d^2)*sqrt(-c^2*d*x^2 + d))/(c^10*x^2 - c^8)","A",0
97,1,317,0,0.501560," ","integrate(x^5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{3465 \, {\left(63 \, b c^{12} d^{2} x^{12} - 224 \, b c^{10} d^{2} x^{10} + 274 \, b c^{8} d^{2} x^{8} - 116 \, b c^{6} d^{2} x^{6} - b c^{4} d^{2} x^{4} - 4 \, b c^{2} d^{2} x^{2} + 8 \, b d^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(19845 \, b c^{11} d^{2} x^{11} - 61985 \, b c^{9} d^{2} x^{9} + 55935 \, b c^{7} d^{2} x^{7} - 2079 \, b c^{5} d^{2} x^{5} - 4620 \, b c^{3} d^{2} x^{3} - 27720 \, b c d^{2} x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 3465 \, {\left(63 \, a c^{12} d^{2} x^{12} - 224 \, a c^{10} d^{2} x^{10} + 274 \, a c^{8} d^{2} x^{8} - 116 \, a c^{6} d^{2} x^{6} - a c^{4} d^{2} x^{4} - 4 \, a c^{2} d^{2} x^{2} + 8 \, a d^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{2401245 \, {\left(c^{8} x^{2} - c^{6}\right)}}"," ",0,"1/2401245*(3465*(63*b*c^12*d^2*x^12 - 224*b*c^10*d^2*x^10 + 274*b*c^8*d^2*x^8 - 116*b*c^6*d^2*x^6 - b*c^4*d^2*x^4 - 4*b*c^2*d^2*x^2 + 8*b*d^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (19845*b*c^11*d^2*x^11 - 61985*b*c^9*d^2*x^9 + 55935*b*c^7*d^2*x^7 - 2079*b*c^5*d^2*x^5 - 4620*b*c^3*d^2*x^3 - 27720*b*c*d^2*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 3465*(63*a*c^12*d^2*x^12 - 224*a*c^10*d^2*x^10 + 274*a*c^8*d^2*x^8 - 116*a*c^6*d^2*x^6 - a*c^4*d^2*x^4 - 4*a*c^2*d^2*x^2 + 8*a*d^2)*sqrt(-c^2*d*x^2 + d))/(c^8*x^2 - c^6)","A",0
98,1,281,0,0.446171," ","integrate(x^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{63 \, {\left(7 \, b c^{10} d^{2} x^{10} - 26 \, b c^{8} d^{2} x^{8} + 34 \, b c^{6} d^{2} x^{6} - 16 \, b c^{4} d^{2} x^{4} - b c^{2} d^{2} x^{2} + 2 \, b d^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(49 \, b c^{9} d^{2} x^{9} - 171 \, b c^{7} d^{2} x^{7} + 189 \, b c^{5} d^{2} x^{5} - 21 \, b c^{3} d^{2} x^{3} - 126 \, b c d^{2} x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 63 \, {\left(7 \, a c^{10} d^{2} x^{10} - 26 \, a c^{8} d^{2} x^{8} + 34 \, a c^{6} d^{2} x^{6} - 16 \, a c^{4} d^{2} x^{4} - a c^{2} d^{2} x^{2} + 2 \, a d^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{3969 \, {\left(c^{6} x^{2} - c^{4}\right)}}"," ",0,"1/3969*(63*(7*b*c^10*d^2*x^10 - 26*b*c^8*d^2*x^8 + 34*b*c^6*d^2*x^6 - 16*b*c^4*d^2*x^4 - b*c^2*d^2*x^2 + 2*b*d^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (49*b*c^9*d^2*x^9 - 171*b*c^7*d^2*x^7 + 189*b*c^5*d^2*x^5 - 21*b*c^3*d^2*x^3 - 126*b*c*d^2*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 63*(7*a*c^10*d^2*x^10 - 26*a*c^8*d^2*x^8 + 34*a*c^6*d^2*x^6 - 16*a*c^4*d^2*x^4 - a*c^2*d^2*x^2 + 2*a*d^2)*sqrt(-c^2*d*x^2 + d))/(c^6*x^2 - c^4)","A",0
99,1,241,0,0.568071," ","integrate(x*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{35 \, {\left(b c^{8} d^{2} x^{8} - 4 \, b c^{6} d^{2} x^{6} + 6 \, b c^{4} d^{2} x^{4} - 4 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(5 \, b c^{7} d^{2} x^{7} - 21 \, b c^{5} d^{2} x^{5} + 35 \, b c^{3} d^{2} x^{3} - 35 \, b c d^{2} x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 35 \, {\left(a c^{8} d^{2} x^{8} - 4 \, a c^{6} d^{2} x^{6} + 6 \, a c^{4} d^{2} x^{4} - 4 \, a c^{2} d^{2} x^{2} + a d^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{245 \, {\left(c^{4} x^{2} - c^{2}\right)}}"," ",0,"1/245*(35*(b*c^8*d^2*x^8 - 4*b*c^6*d^2*x^6 + 6*b*c^4*d^2*x^4 - 4*b*c^2*d^2*x^2 + b*d^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (5*b*c^7*d^2*x^7 - 21*b*c^5*d^2*x^5 + 35*b*c^3*d^2*x^3 - 35*b*c*d^2*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 35*(a*c^8*d^2*x^8 - 4*a*c^6*d^2*x^6 + 6*a*c^4*d^2*x^4 - 4*a*c^2*d^2*x^2 + a*d^2)*sqrt(-c^2*d*x^2 + d))/(c^4*x^2 - c^2)","A",0
100,0,0,0,0.630039," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a c^{4} d^{2} x^{4} - 2 \, a c^{2} d^{2} x^{2} + a d^{2} + {\left(b c^{4} d^{2} x^{4} - 2 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x}, x\right)"," ",0,"integral((a*c^4*d^2*x^4 - 2*a*c^2*d^2*x^2 + a*d^2 + (b*c^4*d^2*x^4 - 2*b*c^2*d^2*x^2 + b*d^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x, x)","F",0
101,0,0,0,0.524718," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a c^{4} d^{2} x^{4} - 2 \, a c^{2} d^{2} x^{2} + a d^{2} + {\left(b c^{4} d^{2} x^{4} - 2 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x^{3}}, x\right)"," ",0,"integral((a*c^4*d^2*x^4 - 2*a*c^2*d^2*x^2 + a*d^2 + (b*c^4*d^2*x^4 - 2*b*c^2*d^2*x^2 + b*d^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x^3, x)","F",0
102,0,0,0,0.502408," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a c^{4} d^{2} x^{4} - 2 \, a c^{2} d^{2} x^{2} + a d^{2} + {\left(b c^{4} d^{2} x^{4} - 2 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x^{5}}, x\right)"," ",0,"integral((a*c^4*d^2*x^4 - 2*a*c^2*d^2*x^2 + a*d^2 + (b*c^4*d^2*x^4 - 2*b*c^2*d^2*x^2 + b*d^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x^5, x)","F",0
103,0,0,0,0.461516," ","integrate(arccosh(x)*(-x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-x^{2} + 1} \operatorname{arcosh}\left(x\right), x\right)"," ",0,"integral(sqrt(-x^2 + 1)*arccosh(x), x)","F",0
104,1,176,0,0.742230," ","integrate(x^5*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","-\frac{15 \, {\left(3 \, b c^{6} x^{6} + b c^{4} x^{4} + 4 \, b c^{2} x^{2} - 8 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(9 \, b c^{5} x^{5} + 20 \, b c^{3} x^{3} + 120 \, b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 15 \, {\left(3 \, a c^{6} x^{6} + a c^{4} x^{4} + 4 \, a c^{2} x^{2} - 8 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{225 \, {\left(c^{8} d x^{2} - c^{6} d\right)}}"," ",0,"-1/225*(15*(3*b*c^6*x^6 + b*c^4*x^4 + 4*b*c^2*x^2 - 8*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (9*b*c^5*x^5 + 20*b*c^3*x^3 + 120*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 15*(3*a*c^6*x^6 + a*c^4*x^4 + 4*a*c^2*x^2 - 8*a)*sqrt(-c^2*d*x^2 + d))/(c^8*d*x^2 - c^6*d)","A",0
105,0,0,0,0.569555," ","integrate(x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b x^{4} \operatorname{arcosh}\left(c x\right) + a x^{4}\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-(b*x^4*arccosh(c*x) + a*x^4)*sqrt(-c^2*d*x^2 + d)/(c^2*d*x^2 - d), x)","F",0
106,1,146,0,0.516777," ","integrate(x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","-\frac{3 \, {\left(b c^{4} x^{4} + b c^{2} x^{2} - 2 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(b c^{3} x^{3} + 6 \, b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 3 \, {\left(a c^{4} x^{4} + a c^{2} x^{2} - 2 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{9 \, {\left(c^{6} d x^{2} - c^{4} d\right)}}"," ",0,"-1/9*(3*(b*c^4*x^4 + b*c^2*x^2 - 2*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (b*c^3*x^3 + 6*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 3*(a*c^4*x^4 + a*c^2*x^2 - 2*a)*sqrt(-c^2*d*x^2 + d))/(c^6*d*x^2 - c^4*d)","A",0
107,0,0,0,0.570073," ","integrate(x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b x^{2} \operatorname{arcosh}\left(c x\right) + a x^{2}\right)}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*x^2*arccosh(c*x) + a*x^2)/(c^2*d*x^2 - d), x)","F",0
108,1,117,0,0.523238," ","integrate(x*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} b c x - {\left(b c^{2} x^{2} - b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(a c^{2} x^{2} - a\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{4} d x^{2} - c^{2} d}"," ",0,"(sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*b*c*x - (b*c^2*x^2 - b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - (a*c^2*x^2 - a)*sqrt(-c^2*d*x^2 + d))/(c^4*d*x^2 - c^2*d)","A",0
109,0,0,0,0.568394," ","integrate((a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^2*d*x^2 - d), x)","F",0
110,0,0,0,0.482430," ","integrate((a+b*arccosh(c*x))/x/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{2} d x^{3} - d x}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^2*d*x^3 - d*x), x)","F",0
111,1,265,0,0.583580," ","integrate((a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","\left[-\frac{b c \sqrt{-d} x \log\left(\frac{c^{2} d x^{6} + c^{2} d x^{2} - d x^{4} + \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{4} - 1\right)} \sqrt{-d} - d}{c^{2} x^{4} - x^{2}}\right) + 2 \, \sqrt{-c^{2} d x^{2} + d} b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 2 \, \sqrt{-c^{2} d x^{2} + d} a}{2 \, d x}, \frac{b c \sqrt{d} x \arctan\left(\frac{\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{2} + 1\right)} \sqrt{d}}{c^{2} d x^{4} - {\left(c^{2} + 1\right)} d x^{2} + d}\right) - \sqrt{-c^{2} d x^{2} + d} b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - \sqrt{-c^{2} d x^{2} + d} a}{d x}\right]"," ",0,"[-1/2*(b*c*sqrt(-d)*x*log((c^2*d*x^6 + c^2*d*x^2 - d*x^4 + sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^4 - 1)*sqrt(-d) - d)/(c^2*x^4 - x^2)) + 2*sqrt(-c^2*d*x^2 + d)*b*log(c*x + sqrt(c^2*x^2 - 1)) + 2*sqrt(-c^2*d*x^2 + d)*a)/(d*x), (b*c*sqrt(d)*x*arctan(sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^2 + 1)*sqrt(d)/(c^2*d*x^4 - (c^2 + 1)*d*x^2 + d)) - sqrt(-c^2*d*x^2 + d)*b*log(c*x + sqrt(c^2*x^2 - 1)) - sqrt(-c^2*d*x^2 + d)*a)/(d*x)]","A",0
112,0,0,0,0.589976," ","integrate((a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{2} d x^{5} - d x^{3}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^2*d*x^5 - d*x^3), x)","F",0
113,1,479,0,0.862421," ","integrate((a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","\left[-\frac{2 \, {\left(2 \, b c^{4} x^{4} - b c^{2} x^{2} - b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 2 \, {\left(b c^{5} x^{5} - b c^{3} x^{3}\right)} \sqrt{-d} \log\left(\frac{c^{2} d x^{6} + c^{2} d x^{2} - d x^{4} + \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{4} - 1\right)} \sqrt{-d} - d}{c^{2} x^{4} - x^{2}}\right) - \sqrt{-c^{2} d x^{2} + d} {\left(b c x^{3} - b c x\right)} \sqrt{c^{2} x^{2} - 1} + 2 \, {\left(2 \, a c^{4} x^{4} - a c^{2} x^{2} - a\right)} \sqrt{-c^{2} d x^{2} + d}}{6 \, {\left(c^{2} d x^{5} - d x^{3}\right)}}, \frac{4 \, {\left(b c^{5} x^{5} - b c^{3} x^{3}\right)} \sqrt{d} \arctan\left(\frac{\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} {\left(x^{2} + 1\right)} \sqrt{d}}{c^{2} d x^{4} - {\left(c^{2} + 1\right)} d x^{2} + d}\right) - 2 \, {\left(2 \, b c^{4} x^{4} - b c^{2} x^{2} - b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + \sqrt{-c^{2} d x^{2} + d} {\left(b c x^{3} - b c x\right)} \sqrt{c^{2} x^{2} - 1} - 2 \, {\left(2 \, a c^{4} x^{4} - a c^{2} x^{2} - a\right)} \sqrt{-c^{2} d x^{2} + d}}{6 \, {\left(c^{2} d x^{5} - d x^{3}\right)}}\right]"," ",0,"[-1/6*(2*(2*b*c^4*x^4 - b*c^2*x^2 - b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + 2*(b*c^5*x^5 - b*c^3*x^3)*sqrt(-d)*log((c^2*d*x^6 + c^2*d*x^2 - d*x^4 + sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^4 - 1)*sqrt(-d) - d)/(c^2*x^4 - x^2)) - sqrt(-c^2*d*x^2 + d)*(b*c*x^3 - b*c*x)*sqrt(c^2*x^2 - 1) + 2*(2*a*c^4*x^4 - a*c^2*x^2 - a)*sqrt(-c^2*d*x^2 + d))/(c^2*d*x^5 - d*x^3), 1/6*(4*(b*c^5*x^5 - b*c^3*x^3)*sqrt(d)*arctan(sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*(x^2 + 1)*sqrt(d)/(c^2*d*x^4 - (c^2 + 1)*d*x^2 + d)) - 2*(2*b*c^4*x^4 - b*c^2*x^2 - b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + sqrt(-c^2*d*x^2 + d)*(b*c*x^3 - b*c*x)*sqrt(c^2*x^2 - 1) - 2*(2*a*c^4*x^4 - a*c^2*x^2 - a)*sqrt(-c^2*d*x^2 + d))/(c^2*d*x^5 - d*x^3)]","A",0
114,1,489,0,0.611877," ","integrate(x^5*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","\left[\frac{12 \, {\left(b c^{4} x^{4} + 4 \, b c^{2} x^{2} - 8 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 9 \, {\left(b c^{2} x^{2} - b\right)} \sqrt{-d} \log\left(-\frac{c^{6} d x^{6} + 5 \, c^{4} d x^{4} - 5 \, c^{2} d x^{2} - 4 \, {\left(c^{3} x^{3} + c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} \sqrt{-d} - d}{c^{6} x^{6} - 3 \, c^{4} x^{4} + 3 \, c^{2} x^{2} - 1}\right) - 4 \, {\left(b c^{3} x^{3} + 15 \, b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 12 \, {\left(a c^{4} x^{4} + 4 \, a c^{2} x^{2} - 8 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{36 \, {\left(c^{8} d^{2} x^{2} - c^{6} d^{2}\right)}}, -\frac{9 \, {\left(b c^{2} x^{2} - b\right)} \sqrt{d} \arctan\left(\frac{2 \, \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} c \sqrt{d} x}{c^{4} d x^{4} - d}\right) - 6 \, {\left(b c^{4} x^{4} + 4 \, b c^{2} x^{2} - 8 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 2 \, {\left(b c^{3} x^{3} + 15 \, b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 6 \, {\left(a c^{4} x^{4} + 4 \, a c^{2} x^{2} - 8 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{18 \, {\left(c^{8} d^{2} x^{2} - c^{6} d^{2}\right)}}\right]"," ",0,"[1/36*(12*(b*c^4*x^4 + 4*b*c^2*x^2 - 8*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - 9*(b*c^2*x^2 - b)*sqrt(-d)*log(-(c^6*d*x^6 + 5*c^4*d*x^4 - 5*c^2*d*x^2 - 4*(c^3*x^3 + c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*sqrt(-d) - d)/(c^6*x^6 - 3*c^4*x^4 + 3*c^2*x^2 - 1)) - 4*(b*c^3*x^3 + 15*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 12*(a*c^4*x^4 + 4*a*c^2*x^2 - 8*a)*sqrt(-c^2*d*x^2 + d))/(c^8*d^2*x^2 - c^6*d^2), -1/18*(9*(b*c^2*x^2 - b)*sqrt(d)*arctan(2*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*c*sqrt(d)*x/(c^4*d*x^4 - d)) - 6*(b*c^4*x^4 + 4*b*c^2*x^2 - 8*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + 2*(b*c^3*x^3 + 15*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 6*(a*c^4*x^4 + 4*a*c^2*x^2 - 8*a)*sqrt(-c^2*d*x^2 + d))/(c^8*d^2*x^2 - c^6*d^2)]","A",0
115,0,0,0,0.402307," ","integrate(x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{4} \operatorname{arcosh}\left(c x\right) + a x^{4}\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((b*x^4*arccosh(c*x) + a*x^4)*sqrt(-c^2*d*x^2 + d)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
116,1,429,0,0.460638," ","integrate(x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","\left[-\frac{4 \, \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} b c x - 4 \, {\left(b c^{2} x^{2} - 2 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(b c^{2} x^{2} - b\right)} \sqrt{-d} \log\left(-\frac{c^{6} d x^{6} + 5 \, c^{4} d x^{4} - 5 \, c^{2} d x^{2} - 4 \, {\left(c^{3} x^{3} + c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} \sqrt{-d} - d}{c^{6} x^{6} - 3 \, c^{4} x^{4} + 3 \, c^{2} x^{2} - 1}\right) - 4 \, {\left(a c^{2} x^{2} - 2 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{4 \, {\left(c^{6} d^{2} x^{2} - c^{4} d^{2}\right)}}, -\frac{2 \, \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} b c x + {\left(b c^{2} x^{2} - b\right)} \sqrt{d} \arctan\left(\frac{2 \, \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} c \sqrt{d} x}{c^{4} d x^{4} - d}\right) - 2 \, {\left(b c^{2} x^{2} - 2 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 2 \, {\left(a c^{2} x^{2} - 2 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{2 \, {\left(c^{6} d^{2} x^{2} - c^{4} d^{2}\right)}}\right]"," ",0,"[-1/4*(4*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*b*c*x - 4*(b*c^2*x^2 - 2*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + (b*c^2*x^2 - b)*sqrt(-d)*log(-(c^6*d*x^6 + 5*c^4*d*x^4 - 5*c^2*d*x^2 - 4*(c^3*x^3 + c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*sqrt(-d) - d)/(c^6*x^6 - 3*c^4*x^4 + 3*c^2*x^2 - 1)) - 4*(a*c^2*x^2 - 2*a)*sqrt(-c^2*d*x^2 + d))/(c^6*d^2*x^2 - c^4*d^2), -1/2*(2*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*b*c*x + (b*c^2*x^2 - b)*sqrt(d)*arctan(2*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*c*sqrt(d)*x/(c^4*d*x^4 - d)) - 2*(b*c^2*x^2 - 2*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - 2*(a*c^2*x^2 - 2*a)*sqrt(-c^2*d*x^2 + d))/(c^6*d^2*x^2 - c^4*d^2)]","A",0
117,0,0,0,0.466006," ","integrate(x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b x^{2} \operatorname{arcosh}\left(c x\right) + a x^{2}\right)}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*x^2*arccosh(c*x) + a*x^2)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
118,1,327,0,0.782508," ","integrate(x*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","\left[-\frac{4 \, \sqrt{-c^{2} d x^{2} + d} b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(b c^{2} x^{2} - b\right)} \sqrt{-d} \log\left(-\frac{c^{6} d x^{6} + 5 \, c^{4} d x^{4} - 5 \, c^{2} d x^{2} - 4 \, {\left(c^{3} x^{3} + c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} \sqrt{-d} - d}{c^{6} x^{6} - 3 \, c^{4} x^{4} + 3 \, c^{2} x^{2} - 1}\right) + 4 \, \sqrt{-c^{2} d x^{2} + d} a}{4 \, {\left(c^{4} d^{2} x^{2} - c^{2} d^{2}\right)}}, -\frac{{\left(b c^{2} x^{2} - b\right)} \sqrt{d} \arctan\left(\frac{2 \, \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} c \sqrt{d} x}{c^{4} d x^{4} - d}\right) + 2 \, \sqrt{-c^{2} d x^{2} + d} b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 2 \, \sqrt{-c^{2} d x^{2} + d} a}{2 \, {\left(c^{4} d^{2} x^{2} - c^{2} d^{2}\right)}}\right]"," ",0,"[-1/4*(4*sqrt(-c^2*d*x^2 + d)*b*log(c*x + sqrt(c^2*x^2 - 1)) + (b*c^2*x^2 - b)*sqrt(-d)*log(-(c^6*d*x^6 + 5*c^4*d*x^4 - 5*c^2*d*x^2 - 4*(c^3*x^3 + c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*sqrt(-d) - d)/(c^6*x^6 - 3*c^4*x^4 + 3*c^2*x^2 - 1)) + 4*sqrt(-c^2*d*x^2 + d)*a)/(c^4*d^2*x^2 - c^2*d^2), -1/2*((b*c^2*x^2 - b)*sqrt(d)*arctan(2*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*c*sqrt(d)*x/(c^4*d*x^4 - d)) + 2*sqrt(-c^2*d*x^2 + d)*b*log(c*x + sqrt(c^2*x^2 - 1)) + 2*sqrt(-c^2*d*x^2 + d)*a)/(c^4*d^2*x^2 - c^2*d^2)]","A",0
119,0,0,0,0.718563," ","integrate((a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
120,0,0,0,0.502896," ","integrate((a+b*arccosh(c*x))/x/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{4} d^{2} x^{5} - 2 \, c^{2} d^{2} x^{3} + d^{2} x}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^4*d^2*x^5 - 2*c^2*d^2*x^3 + d^2*x), x)","F",0
121,0,0,0,1.765707," ","integrate((a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{4} d^{2} x^{6} - 2 \, c^{2} d^{2} x^{4} + d^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^4*d^2*x^6 - 2*c^2*d^2*x^4 + d^2*x^2), x)","F",0
122,0,0,0,0.477977," ","integrate((a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{4} d^{2} x^{7} - 2 \, c^{2} d^{2} x^{5} + d^{2} x^{3}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^4*d^2*x^7 - 2*c^2*d^2*x^5 + d^2*x^3), x)","F",0
123,0,0,0,0.951883," ","integrate((a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{4} d^{2} x^{8} - 2 \, c^{2} d^{2} x^{6} + d^{2} x^{4}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^4*d^2*x^8 - 2*c^2*d^2*x^6 + d^2*x^4), x)","F",0
124,1,529,0,0.830672," ","integrate(x^5*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","\left[-\frac{8 \, {\left(3 \, b c^{4} x^{4} - 12 \, b c^{2} x^{2} + 8 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 11 \, {\left(b c^{4} x^{4} - 2 \, b c^{2} x^{2} + b\right)} \sqrt{-d} \log\left(-\frac{c^{6} d x^{6} + 5 \, c^{4} d x^{4} - 5 \, c^{2} d x^{2} + 4 \, {\left(c^{3} x^{3} + c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} \sqrt{-d} - d}{c^{6} x^{6} - 3 \, c^{4} x^{4} + 3 \, c^{2} x^{2} - 1}\right) - 4 \, {\left(6 \, b c^{3} x^{3} - 5 \, b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} + 8 \, {\left(3 \, a c^{4} x^{4} - 12 \, a c^{2} x^{2} + 8 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{24 \, {\left(c^{10} d^{3} x^{4} - 2 \, c^{8} d^{3} x^{2} + c^{6} d^{3}\right)}}, \frac{11 \, {\left(b c^{4} x^{4} - 2 \, b c^{2} x^{2} + b\right)} \sqrt{d} \arctan\left(\frac{2 \, \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} c \sqrt{d} x}{c^{4} d x^{4} - d}\right) - 4 \, {\left(3 \, b c^{4} x^{4} - 12 \, b c^{2} x^{2} + 8 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 2 \, {\left(6 \, b c^{3} x^{3} - 5 \, b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 4 \, {\left(3 \, a c^{4} x^{4} - 12 \, a c^{2} x^{2} + 8 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{12 \, {\left(c^{10} d^{3} x^{4} - 2 \, c^{8} d^{3} x^{2} + c^{6} d^{3}\right)}}\right]"," ",0,"[-1/24*(8*(3*b*c^4*x^4 - 12*b*c^2*x^2 + 8*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + 11*(b*c^4*x^4 - 2*b*c^2*x^2 + b)*sqrt(-d)*log(-(c^6*d*x^6 + 5*c^4*d*x^4 - 5*c^2*d*x^2 + 4*(c^3*x^3 + c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*sqrt(-d) - d)/(c^6*x^6 - 3*c^4*x^4 + 3*c^2*x^2 - 1)) - 4*(6*b*c^3*x^3 - 5*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) + 8*(3*a*c^4*x^4 - 12*a*c^2*x^2 + 8*a)*sqrt(-c^2*d*x^2 + d))/(c^10*d^3*x^4 - 2*c^8*d^3*x^2 + c^6*d^3), 1/12*(11*(b*c^4*x^4 - 2*b*c^2*x^2 + b)*sqrt(d)*arctan(2*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*c*sqrt(d)*x/(c^4*d*x^4 - d)) - 4*(3*b*c^4*x^4 - 12*b*c^2*x^2 + 8*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + 2*(6*b*c^3*x^3 - 5*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 4*(3*a*c^4*x^4 - 12*a*c^2*x^2 + 8*a)*sqrt(-c^2*d*x^2 + d))/(c^10*d^3*x^4 - 2*c^8*d^3*x^2 + c^6*d^3)]","A",0
125,0,0,0,0.662158," ","integrate(x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b x^{4} \operatorname{arcosh}\left(c x\right) + a x^{4}\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-(b*x^4*arccosh(c*x) + a*x^4)*sqrt(-c^2*d*x^2 + d)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
126,1,469,0,0.693955," ","integrate(x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","\left[\frac{4 \, \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} b c x + 8 \, {\left(3 \, b c^{2} x^{2} - 2 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 5 \, {\left(b c^{4} x^{4} - 2 \, b c^{2} x^{2} + b\right)} \sqrt{-d} \log\left(-\frac{c^{6} d x^{6} + 5 \, c^{4} d x^{4} - 5 \, c^{2} d x^{2} + 4 \, {\left(c^{3} x^{3} + c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} \sqrt{-d} - d}{c^{6} x^{6} - 3 \, c^{4} x^{4} + 3 \, c^{2} x^{2} - 1}\right) + 8 \, {\left(3 \, a c^{2} x^{2} - 2 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{24 \, {\left(c^{8} d^{3} x^{4} - 2 \, c^{6} d^{3} x^{2} + c^{4} d^{3}\right)}}, \frac{2 \, \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} b c x + 5 \, {\left(b c^{4} x^{4} - 2 \, b c^{2} x^{2} + b\right)} \sqrt{d} \arctan\left(\frac{2 \, \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} c \sqrt{d} x}{c^{4} d x^{4} - d}\right) + 4 \, {\left(3 \, b c^{2} x^{2} - 2 \, b\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 4 \, {\left(3 \, a c^{2} x^{2} - 2 \, a\right)} \sqrt{-c^{2} d x^{2} + d}}{12 \, {\left(c^{8} d^{3} x^{4} - 2 \, c^{6} d^{3} x^{2} + c^{4} d^{3}\right)}}\right]"," ",0,"[1/24*(4*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*b*c*x + 8*(3*b*c^2*x^2 - 2*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) - 5*(b*c^4*x^4 - 2*b*c^2*x^2 + b)*sqrt(-d)*log(-(c^6*d*x^6 + 5*c^4*d*x^4 - 5*c^2*d*x^2 + 4*(c^3*x^3 + c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*sqrt(-d) - d)/(c^6*x^6 - 3*c^4*x^4 + 3*c^2*x^2 - 1)) + 8*(3*a*c^2*x^2 - 2*a)*sqrt(-c^2*d*x^2 + d))/(c^8*d^3*x^4 - 2*c^6*d^3*x^2 + c^4*d^3), 1/12*(2*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*b*c*x + 5*(b*c^4*x^4 - 2*b*c^2*x^2 + b)*sqrt(d)*arctan(2*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*c*sqrt(d)*x/(c^4*d*x^4 - d)) + 4*(3*b*c^2*x^2 - 2*b)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + 4*(3*a*c^2*x^2 - 2*a)*sqrt(-c^2*d*x^2 + d))/(c^8*d^3*x^4 - 2*c^6*d^3*x^2 + c^4*d^3)]","A",0
127,0,0,0,0.601329," ","integrate(x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b x^{2} \operatorname{arcosh}\left(c x\right) + a x^{2}\right)}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*x^2*arccosh(c*x) + a*x^2)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
128,1,421,0,0.603450," ","integrate(x*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","\left[\frac{4 \, \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} b c x + 8 \, \sqrt{-c^{2} d x^{2} + d} b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(b c^{4} x^{4} - 2 \, b c^{2} x^{2} + b\right)} \sqrt{-d} \log\left(-\frac{c^{6} d x^{6} + 5 \, c^{4} d x^{4} - 5 \, c^{2} d x^{2} - 4 \, {\left(c^{3} x^{3} + c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} \sqrt{-d} - d}{c^{6} x^{6} - 3 \, c^{4} x^{4} + 3 \, c^{2} x^{2} - 1}\right) + 8 \, \sqrt{-c^{2} d x^{2} + d} a}{24 \, {\left(c^{6} d^{3} x^{4} - 2 \, c^{4} d^{3} x^{2} + c^{2} d^{3}\right)}}, \frac{2 \, \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} b c x - {\left(b c^{4} x^{4} - 2 \, b c^{2} x^{2} + b\right)} \sqrt{d} \arctan\left(\frac{2 \, \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} c \sqrt{d} x}{c^{4} d x^{4} - d}\right) + 4 \, \sqrt{-c^{2} d x^{2} + d} b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 4 \, \sqrt{-c^{2} d x^{2} + d} a}{12 \, {\left(c^{6} d^{3} x^{4} - 2 \, c^{4} d^{3} x^{2} + c^{2} d^{3}\right)}}\right]"," ",0,"[1/24*(4*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*b*c*x + 8*sqrt(-c^2*d*x^2 + d)*b*log(c*x + sqrt(c^2*x^2 - 1)) - (b*c^4*x^4 - 2*b*c^2*x^2 + b)*sqrt(-d)*log(-(c^6*d*x^6 + 5*c^4*d*x^4 - 5*c^2*d*x^2 - 4*(c^3*x^3 + c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*sqrt(-d) - d)/(c^6*x^6 - 3*c^4*x^4 + 3*c^2*x^2 - 1)) + 8*sqrt(-c^2*d*x^2 + d)*a)/(c^6*d^3*x^4 - 2*c^4*d^3*x^2 + c^2*d^3), 1/12*(2*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*b*c*x - (b*c^4*x^4 - 2*b*c^2*x^2 + b)*sqrt(d)*arctan(2*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*c*sqrt(d)*x/(c^4*d*x^4 - d)) + 4*sqrt(-c^2*d*x^2 + d)*b*log(c*x + sqrt(c^2*x^2 - 1)) + 4*sqrt(-c^2*d*x^2 + d)*a)/(c^6*d^3*x^4 - 2*c^4*d^3*x^2 + c^2*d^3)]","A",0
129,0,0,0,1.265798," ","integrate((a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
130,0,0,0,0.650478," ","integrate((a+b*arccosh(c*x))/x/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{6} d^{3} x^{7} - 3 \, c^{4} d^{3} x^{5} + 3 \, c^{2} d^{3} x^{3} - d^{3} x}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^6*d^3*x^7 - 3*c^4*d^3*x^5 + 3*c^2*d^3*x^3 - d^3*x), x)","F",0
131,0,0,0,0.876989," ","integrate((a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{6} d^{3} x^{8} - 3 \, c^{4} d^{3} x^{6} + 3 \, c^{2} d^{3} x^{4} - d^{3} x^{2}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^6*d^3*x^8 - 3*c^4*d^3*x^6 + 3*c^2*d^3*x^4 - d^3*x^2), x)","F",0
132,0,0,0,0.630819," ","integrate((a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{6} d^{3} x^{9} - 3 \, c^{4} d^{3} x^{7} + 3 \, c^{2} d^{3} x^{5} - d^{3} x^{3}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^6*d^3*x^9 - 3*c^4*d^3*x^7 + 3*c^2*d^3*x^5 - d^3*x^3), x)","F",0
133,0,0,0,1.079403," ","integrate((a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{6} d^{3} x^{10} - 3 \, c^{4} d^{3} x^{8} + 3 \, c^{2} d^{3} x^{6} - d^{3} x^{4}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^6*d^3*x^10 - 3*c^4*d^3*x^8 + 3*c^2*d^3*x^6 - d^3*x^4), x)","F",0
134,0,0,0,0.662535," ","integrate(arccosh(a*x)/(-a^2*c*x^2+c)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-a^{2} c x^{2} + c} \operatorname{arcosh}\left(a x\right)}{a^{8} c^{4} x^{8} - 4 \, a^{6} c^{4} x^{6} + 6 \, a^{4} c^{4} x^{4} - 4 \, a^{2} c^{4} x^{2} + c^{4}}, x\right)"," ",0,"integral(sqrt(-a^2*c*x^2 + c)*arccosh(a*x)/(a^8*c^4*x^8 - 4*a^6*c^4*x^6 + 6*a^4*c^4*x^4 - 4*a^2*c^4*x^2 + c^4), x)","F",0
135,0,0,0,0.667240," ","integrate(x^4*arccosh(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} x^{4} \operatorname{arcosh}\left(a x\right)}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*x^4*arccosh(a*x)/(a^2*x^2 - 1), x)","F",0
136,1,101,0,1.181014," ","integrate(x^3*arccosh(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{3 \, {\left(a^{4} x^{4} + a^{2} x^{2} - 2\right)} \sqrt{-a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - {\left(a^{3} x^{3} + 6 \, a x\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{-a^{2} x^{2} + 1}}{9 \, {\left(a^{6} x^{2} - a^{4}\right)}}"," ",0,"-1/9*(3*(a^4*x^4 + a^2*x^2 - 2)*sqrt(-a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 - 1)) - (a^3*x^3 + 6*a*x)*sqrt(a^2*x^2 - 1)*sqrt(-a^2*x^2 + 1))/(a^6*x^2 - a^4)","A",0
137,0,0,0,0.538241," ","integrate(x^2*arccosh(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} x^{2} \operatorname{arcosh}\left(a x\right)}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*x^2*arccosh(a*x)/(a^2*x^2 - 1), x)","F",0
138,1,72,0,0.607069," ","integrate(x*arccosh(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{a^{2} x^{2} - 1} \sqrt{-a^{2} x^{2} + 1} a x + {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)}{a^{4} x^{2} - a^{2}}"," ",0,"(sqrt(a^2*x^2 - 1)*sqrt(-a^2*x^2 + 1)*a*x + (-a^2*x^2 + 1)^(3/2)*log(a*x + sqrt(a^2*x^2 - 1)))/(a^4*x^2 - a^2)","A",0
139,0,0,0,0.863978," ","integrate(arccosh(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} \operatorname{arcosh}\left(a x\right)}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*arccosh(a*x)/(a^2*x^2 - 1), x)","F",0
140,0,0,0,0.582846," ","integrate(arccosh(a*x)/x/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} \operatorname{arcosh}\left(a x\right)}{a^{2} x^{3} - x}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*arccosh(a*x)/(a^2*x^3 - x), x)","F",0
141,-2,0,0,0.000000," ","integrate(arccosh(a*x)/x^2/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> the translation of the FriCAS object sage2 to sage is not yet implemented","F(-2)",0
142,0,0,0,2.265645," ","integrate(arccosh(a*x)/x^3/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} \operatorname{arcosh}\left(a x\right)}{a^{2} x^{5} - x^{3}}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*arccosh(a*x)/(a^2*x^5 - x^3), x)","F",0
143,0,0,0,1.703111," ","integrate((f*x)^(3/2)*(a+b*arccosh(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(b f x \operatorname{arcosh}\left(c x\right) + a f x\right)} \sqrt{f x}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(b*f*x*arccosh(c*x) + a*f*x)*sqrt(f*x)/(c^2*x^2 - 1), x)","F",0
144,0,0,0,0.677728," ","integrate((f*x)^(3/2)*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b f x \operatorname{arcosh}\left(c x\right) + a f x\right)} \sqrt{f x}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*f*x*arccosh(c*x) + a*f*x)*sqrt(f*x)/(c^2*d*x^2 - d), x)","F",0
145,0,0,0,1.611859," ","integrate((f*x)^m*(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{6} d^{3} x^{6} - 3 \, a c^{4} d^{3} x^{4} + 3 \, a c^{2} d^{3} x^{2} - a d^{3} + {\left(b c^{6} d^{3} x^{6} - 3 \, b c^{4} d^{3} x^{4} + 3 \, b c^{2} d^{3} x^{2} - b d^{3}\right)} \operatorname{arcosh}\left(c x\right)\right)} \left(f x\right)^{m}, x\right)"," ",0,"integral(-(a*c^6*d^3*x^6 - 3*a*c^4*d^3*x^4 + 3*a*c^2*d^3*x^2 - a*d^3 + (b*c^6*d^3*x^6 - 3*b*c^4*d^3*x^4 + 3*b*c^2*d^3*x^2 - b*d^3)*arccosh(c*x))*(f*x)^m, x)","F",0
146,0,0,0,0.996409," ","integrate((f*x)^m*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} x^{4} - 2 \, a c^{2} d^{2} x^{2} + a d^{2} + {\left(b c^{4} d^{2} x^{4} - 2 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \left(f x\right)^{m}, x\right)"," ",0,"integral((a*c^4*d^2*x^4 - 2*a*c^2*d^2*x^2 + a*d^2 + (b*c^4*d^2*x^4 - 2*b*c^2*d^2*x^2 + b*d^2)*arccosh(c*x))*(f*x)^m, x)","F",0
147,0,0,0,1.527527," ","integrate((f*x)^m*(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{2} d x^{2} - a d + {\left(b c^{2} d x^{2} - b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \left(f x\right)^{m}, x\right)"," ",0,"integral(-(a*c^2*d*x^2 - a*d + (b*c^2*d*x^2 - b*d)*arccosh(c*x))*(f*x)^m, x)","F",0
148,0,0,0,1.114351," ","integrate((f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \left(f x\right)^{m}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-(b*arccosh(c*x) + a)*(f*x)^m/(c^2*d*x^2 - d), x)","F",0
149,0,0,0,1.236258," ","integrate((f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \left(f x\right)^{m}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)*(f*x)^m/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
150,0,0,0,0.690732," ","integrate((f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \left(f x\right)^{m}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-(b*arccosh(c*x) + a)*(f*x)^m/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
151,0,0,0,0.893645," ","integrate((f*x)^m*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} x^{4} - 2 \, a c^{2} d^{2} x^{2} + a d^{2} + {\left(b c^{4} d^{2} x^{4} - 2 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d} \left(f x\right)^{m}, x\right)"," ",0,"integral((a*c^4*d^2*x^4 - 2*a*c^2*d^2*x^2 + a*d^2 + (b*c^4*d^2*x^4 - 2*b*c^2*d^2*x^2 + b*d^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)*(f*x)^m, x)","F",0
152,0,0,0,0.986864," ","integrate((f*x)^m*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{2} d x^{2} - a d + {\left(b c^{2} d x^{2} - b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d} \left(f x\right)^{m}, x\right)"," ",0,"integral(-(a*c^2*d*x^2 - a*d + (b*c^2*d*x^2 - b*d)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)*(f*x)^m, x)","F",0
153,0,0,0,0.489574," ","integrate((f*x)^m*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \left(f x\right)^{m}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)*(f*x)^m, x)","F",0
154,0,0,0,0.741541," ","integrate((f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \left(f x\right)^{m}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)*(f*x)^m/(c^2*d*x^2 - d), x)","F",0
155,0,0,0,0.604626," ","integrate((f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \left(f x\right)^{m}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)*(f*x)^m/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
156,0,0,0,0.632752," ","integrate((f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \left(f x\right)^{m}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)*(f*x)^m/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
157,0,0,0,0.656074," ","integrate((f*x)^m*(c*d1*x+d1)^(5/2)*(-c*d2*x+d2)^(5/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d_{1}^{2} d_{2}^{2} x^{4} - 2 \, a c^{2} d_{1}^{2} d_{2}^{2} x^{2} + a d_{1}^{2} d_{2}^{2} + {\left(b c^{4} d_{1}^{2} d_{2}^{2} x^{4} - 2 \, b c^{2} d_{1}^{2} d_{2}^{2} x^{2} + b d_{1}^{2} d_{2}^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{c d_{1} x + d_{1}} \sqrt{-c d_{2} x + d_{2}} \left(f x\right)^{m}, x\right)"," ",0,"integral((a*c^4*d1^2*d2^2*x^4 - 2*a*c^2*d1^2*d2^2*x^2 + a*d1^2*d2^2 + (b*c^4*d1^2*d2^2*x^4 - 2*b*c^2*d1^2*d2^2*x^2 + b*d1^2*d2^2)*arccosh(c*x))*sqrt(c*d1*x + d1)*sqrt(-c*d2*x + d2)*(f*x)^m, x)","F",0
158,0,0,0,0.660159," ","integrate((f*x)^m*(c*d1*x+d1)^(3/2)*(-c*d2*x+d2)^(3/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{2} d_{1} d_{2} x^{2} - a d_{1} d_{2} + {\left(b c^{2} d_{1} d_{2} x^{2} - b d_{1} d_{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{c d_{1} x + d_{1}} \sqrt{-c d_{2} x + d_{2}} \left(f x\right)^{m}, x\right)"," ",0,"integral(-(a*c^2*d1*d2*x^2 - a*d1*d2 + (b*c^2*d1*d2*x^2 - b*d1*d2)*arccosh(c*x))*sqrt(c*d1*x + d1)*sqrt(-c*d2*x + d2)*(f*x)^m, x)","F",0
159,0,0,0,0.526521," ","integrate((f*x)^m*(c*d1*x+d1)^(1/2)*(-c*d2*x+d2)^(1/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c d_{1} x + d_{1}} \sqrt{-c d_{2} x + d_{2}} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \left(f x\right)^{m}, x\right)"," ",0,"integral(sqrt(c*d1*x + d1)*sqrt(-c*d2*x + d2)*(b*arccosh(c*x) + a)*(f*x)^m, x)","F",0
160,0,0,0,0.511924," ","integrate((f*x)^m*(a+b*arccosh(c*x))/(c*d1*x+d1)^(1/2)/(-c*d2*x+d2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{c d_{1} x + d_{1}} \sqrt{-c d_{2} x + d_{2}} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \left(f x\right)^{m}}{c^{2} d_{1} d_{2} x^{2} - d_{1} d_{2}}, x\right)"," ",0,"integral(-sqrt(c*d1*x + d1)*sqrt(-c*d2*x + d2)*(b*arccosh(c*x) + a)*(f*x)^m/(c^2*d1*d2*x^2 - d1*d2), x)","F",0
161,0,0,0,0.658412," ","integrate((f*x)^m*(a+b*arccosh(c*x))/(c*d1*x+d1)^(3/2)/(-c*d2*x+d2)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c d_{1} x + d_{1}} \sqrt{-c d_{2} x + d_{2}} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \left(f x\right)^{m}}{c^{4} d_{1}^{2} d_{2}^{2} x^{4} - 2 \, c^{2} d_{1}^{2} d_{2}^{2} x^{2} + d_{1}^{2} d_{2}^{2}}, x\right)"," ",0,"integral(sqrt(c*d1*x + d1)*sqrt(-c*d2*x + d2)*(b*arccosh(c*x) + a)*(f*x)^m/(c^4*d1^2*d2^2*x^4 - 2*c^2*d1^2*d2^2*x^2 + d1^2*d2^2), x)","F",0
162,0,0,0,0.701347," ","integrate((f*x)^m*(a+b*arccosh(c*x))/(c*d1*x+d1)^(5/2)/(-c*d2*x+d2)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{c d_{1} x + d_{1}} \sqrt{-c d_{2} x + d_{2}} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \left(f x\right)^{m}}{c^{6} d_{1}^{3} d_{2}^{3} x^{6} - 3 \, c^{4} d_{1}^{3} d_{2}^{3} x^{4} + 3 \, c^{2} d_{1}^{3} d_{2}^{3} x^{2} - d_{1}^{3} d_{2}^{3}}, x\right)"," ",0,"integral(-sqrt(c*d1*x + d1)*sqrt(-c*d2*x + d2)*(b*arccosh(c*x) + a)*(f*x)^m/(c^6*d1^3*d2^3*x^6 - 3*c^4*d1^3*d2^3*x^4 + 3*c^2*d1^3*d2^3*x^2 - d1^3*d2^3), x)","F",0
163,0,0,0,0.546194," ","integrate((f*x)^m*arccosh(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} \left(f x\right)^{m} \operatorname{arcosh}\left(a x\right)}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*(f*x)^m*arccosh(a*x)/(a^2*x^2 - 1), x)","F",0
164,1,175,0,0.638621," ","integrate((-a^2*c*x^2+c)^3*arccosh(a*x)^2,x, algorithm=""fricas"")","-\frac{2250 \, a^{7} c^{3} x^{7} - 14742 \, a^{5} c^{3} x^{5} + 52990 \, a^{3} c^{3} x^{3} - 453810 \, a c^{3} x + 11025 \, {\left(5 \, a^{7} c^{3} x^{7} - 21 \, a^{5} c^{3} x^{5} + 35 \, a^{3} c^{3} x^{3} - 35 \, a c^{3} x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{2} - 210 \, {\left(75 \, a^{6} c^{3} x^{6} - 351 \, a^{4} c^{3} x^{4} + 757 \, a^{2} c^{3} x^{2} - 2161 \, c^{3}\right)} \sqrt{a^{2} x^{2} - 1} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)}{385875 \, a}"," ",0,"-1/385875*(2250*a^7*c^3*x^7 - 14742*a^5*c^3*x^5 + 52990*a^3*c^3*x^3 - 453810*a*c^3*x + 11025*(5*a^7*c^3*x^7 - 21*a^5*c^3*x^5 + 35*a^3*c^3*x^3 - 35*a*c^3*x)*log(a*x + sqrt(a^2*x^2 - 1))^2 - 210*(75*a^6*c^3*x^6 - 351*a^4*c^3*x^4 + 757*a^2*c^3*x^2 - 2161*c^3)*sqrt(a^2*x^2 - 1)*log(a*x + sqrt(a^2*x^2 - 1)))/a","A",0
165,1,142,0,0.549541," ","integrate((-a^2*c*x^2+c)^2*arccosh(a*x)^2,x, algorithm=""fricas"")","\frac{54 \, a^{5} c^{2} x^{5} - 380 \, a^{3} c^{2} x^{3} + 4470 \, a c^{2} x + 225 \, {\left(3 \, a^{5} c^{2} x^{5} - 10 \, a^{3} c^{2} x^{3} + 15 \, a c^{2} x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{2} - 30 \, {\left(9 \, a^{4} c^{2} x^{4} - 38 \, a^{2} c^{2} x^{2} + 149 \, c^{2}\right)} \sqrt{a^{2} x^{2} - 1} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)}{3375 \, a}"," ",0,"1/3375*(54*a^5*c^2*x^5 - 380*a^3*c^2*x^3 + 4470*a*c^2*x + 225*(3*a^5*c^2*x^5 - 10*a^3*c^2*x^3 + 15*a*c^2*x)*log(a*x + sqrt(a^2*x^2 - 1))^2 - 30*(9*a^4*c^2*x^4 - 38*a^2*c^2*x^2 + 149*c^2)*sqrt(a^2*x^2 - 1)*log(a*x + sqrt(a^2*x^2 - 1)))/a","A",0
166,1,95,0,0.623162," ","integrate((-a^2*c*x^2+c)*arccosh(a*x)^2,x, algorithm=""fricas"")","-\frac{2 \, a^{3} c x^{3} - 42 \, a c x + 9 \, {\left(a^{3} c x^{3} - 3 \, a c x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{2} - 6 \, {\left(a^{2} c x^{2} - 7 \, c\right)} \sqrt{a^{2} x^{2} - 1} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)}{27 \, a}"," ",0,"-1/27*(2*a^3*c*x^3 - 42*a*c*x + 9*(a^3*c*x^3 - 3*a*c*x)*log(a*x + sqrt(a^2*x^2 - 1))^2 - 6*(a^2*c*x^2 - 7*c)*sqrt(a^2*x^2 - 1)*log(a*x + sqrt(a^2*x^2 - 1)))/a","A",0
167,0,0,0,0.554652," ","integrate(arccosh(a*x)^2/(-a^2*c*x^2+c),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\operatorname{arcosh}\left(a x\right)^{2}}{a^{2} c x^{2} - c}, x\right)"," ",0,"integral(-arccosh(a*x)^2/(a^2*c*x^2 - c), x)","F",0
168,0,0,0,0.475412," ","integrate(arccosh(a*x)^2/(-a^2*c*x^2+c)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arcosh}\left(a x\right)^{2}}{a^{4} c^{2} x^{4} - 2 \, a^{2} c^{2} x^{2} + c^{2}}, x\right)"," ",0,"integral(arccosh(a*x)^2/(a^4*c^2*x^4 - 2*a^2*c^2*x^2 + c^2), x)","F",0
169,0,0,0,0.541274," ","integrate(arccosh(a*x)^2/(-a^2*c*x^2+c)^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\operatorname{arcosh}\left(a x\right)^{2}}{a^{6} c^{3} x^{6} - 3 \, a^{4} c^{3} x^{4} + 3 \, a^{2} c^{3} x^{2} - c^{3}}, x\right)"," ",0,"integral(-arccosh(a*x)^2/(a^6*c^3*x^6 - 3*a^4*c^3*x^4 + 3*a^2*c^3*x^2 - c^3), x)","F",0
170,1,349,0,0.516271," ","integrate(x^3*(a+b*arccosh(c*x))^2*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","\frac{225 \, {\left(3 \, b^{2} c^{6} x^{6} - 4 \, b^{2} c^{4} x^{4} - b^{2} c^{2} x^{2} + 2 \, b^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} - 30 \, {\left(9 \, a b c^{5} x^{5} - 5 \, a b c^{3} x^{3} - 30 \, a b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 30 \, {\left({\left(9 \, b^{2} c^{5} x^{5} - 5 \, b^{2} c^{3} x^{3} - 30 \, b^{2} c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 15 \, {\left(3 \, a b c^{6} x^{6} - 4 \, a b c^{4} x^{4} - a b c^{2} x^{2} + 2 \, a b\right)} \sqrt{-c^{2} d x^{2} + d}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(27 \, {\left(25 \, a^{2} + 2 \, b^{2}\right)} c^{6} x^{6} - 4 \, {\left(225 \, a^{2} + 8 \, b^{2}\right)} c^{4} x^{4} - {\left(225 \, a^{2} + 878 \, b^{2}\right)} c^{2} x^{2} + 450 \, a^{2} + 856 \, b^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{3375 \, {\left(c^{6} x^{2} - c^{4}\right)}}"," ",0,"1/3375*(225*(3*b^2*c^6*x^6 - 4*b^2*c^4*x^4 - b^2*c^2*x^2 + 2*b^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1))^2 - 30*(9*a*b*c^5*x^5 - 5*a*b*c^3*x^3 - 30*a*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 30*((9*b^2*c^5*x^5 - 5*b^2*c^3*x^3 - 30*b^2*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 15*(3*a*b*c^6*x^6 - 4*a*b*c^4*x^4 - a*b*c^2*x^2 + 2*a*b)*sqrt(-c^2*d*x^2 + d))*log(c*x + sqrt(c^2*x^2 - 1)) + (27*(25*a^2 + 2*b^2)*c^6*x^6 - 4*(225*a^2 + 8*b^2)*c^4*x^4 - (225*a^2 + 878*b^2)*c^2*x^2 + 450*a^2 + 856*b^2)*sqrt(-c^2*d*x^2 + d))/(c^6*x^2 - c^4)","A",0
171,0,0,0,0.568796," ","integrate(x^2*(a+b*arccosh(c*x))^2*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} x^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arcosh}\left(c x\right) + a^{2} x^{2}\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((b^2*x^2*arccosh(c*x)^2 + 2*a*b*x^2*arccosh(c*x) + a^2*x^2)*sqrt(-c^2*d*x^2 + d), x)","F",0
172,1,280,0,0.567822," ","integrate(x*(a+b*arccosh(c*x))^2*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","\frac{9 \, {\left(b^{2} c^{4} x^{4} - 2 \, b^{2} c^{2} x^{2} + b^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} - 6 \, {\left(a b c^{3} x^{3} - 3 \, a b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 6 \, {\left({\left(b^{2} c^{3} x^{3} - 3 \, b^{2} c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 3 \, {\left(a b c^{4} x^{4} - 2 \, a b c^{2} x^{2} + a b\right)} \sqrt{-c^{2} d x^{2} + d}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left({\left(9 \, a^{2} + 2 \, b^{2}\right)} c^{4} x^{4} - 2 \, {\left(9 \, a^{2} + 8 \, b^{2}\right)} c^{2} x^{2} + 9 \, a^{2} + 14 \, b^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{27 \, {\left(c^{4} x^{2} - c^{2}\right)}}"," ",0,"1/27*(9*(b^2*c^4*x^4 - 2*b^2*c^2*x^2 + b^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1))^2 - 6*(a*b*c^3*x^3 - 3*a*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 6*((b^2*c^3*x^3 - 3*b^2*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 3*(a*b*c^4*x^4 - 2*a*b*c^2*x^2 + a*b)*sqrt(-c^2*d*x^2 + d))*log(c*x + sqrt(c^2*x^2 - 1)) + ((9*a^2 + 2*b^2)*c^4*x^4 - 2*(9*a^2 + 8*b^2)*c^2*x^2 + 9*a^2 + 14*b^2)*sqrt(-c^2*d*x^2 + d))/(c^4*x^2 - c^2)","A",0
173,0,0,0,0.648393," ","integrate((a+b*arccosh(c*x))^2*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
174,0,0,0,0.741626," ","integrate((a+b*arccosh(c*x))^2*(-c^2*d*x^2+d)^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{x}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/x, x)","F",0
175,0,0,0,0.599506," ","integrate((a+b*arccosh(c*x))^2*(-c^2*d*x^2+d)^(1/2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{x^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/x^2, x)","F",0
176,0,0,0,0.639437," ","integrate((a+b*arccosh(c*x))^2*(-c^2*d*x^2+d)^(1/2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{x^{3}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/x^3, x)","F",0
177,0,0,0,0.479771," ","integrate((a+b*arccosh(c*x))^2*(-c^2*d*x^2+d)^(1/2)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{x^{4}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/x^4, x)","F",0
178,1,432,0,0.680569," ","integrate(x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","-\frac{11025 \, {\left(5 \, b^{2} c^{8} d x^{8} - 13 \, b^{2} c^{6} d x^{6} + 9 \, b^{2} c^{4} d x^{4} + b^{2} c^{2} d x^{2} - 2 \, b^{2} d\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} - 210 \, {\left(75 \, a b c^{7} d x^{7} - 168 \, a b c^{5} d x^{5} + 35 \, a b c^{3} d x^{3} + 210 \, a b c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 210 \, {\left({\left(75 \, b^{2} c^{7} d x^{7} - 168 \, b^{2} c^{5} d x^{5} + 35 \, b^{2} c^{3} d x^{3} + 210 \, b^{2} c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 105 \, {\left(5 \, a b c^{8} d x^{8} - 13 \, a b c^{6} d x^{6} + 9 \, a b c^{4} d x^{4} + a b c^{2} d x^{2} - 2 \, a b d\right)} \sqrt{-c^{2} d x^{2} + d}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(1125 \, {\left(49 \, a^{2} + 2 \, b^{2}\right)} c^{8} d x^{8} - 9 \, {\left(15925 \, a^{2} + 734 \, b^{2}\right)} c^{6} d x^{6} + {\left(99225 \, a^{2} + 998 \, b^{2}\right)} c^{4} d x^{4} + {\left(11025 \, a^{2} + 40742 \, b^{2}\right)} c^{2} d x^{2} - 2 \, {\left(11025 \, a^{2} + 18692 \, b^{2}\right)} d\right)} \sqrt{-c^{2} d x^{2} + d}}{385875 \, {\left(c^{6} x^{2} - c^{4}\right)}}"," ",0,"-1/385875*(11025*(5*b^2*c^8*d*x^8 - 13*b^2*c^6*d*x^6 + 9*b^2*c^4*d*x^4 + b^2*c^2*d*x^2 - 2*b^2*d)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1))^2 - 210*(75*a*b*c^7*d*x^7 - 168*a*b*c^5*d*x^5 + 35*a*b*c^3*d*x^3 + 210*a*b*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 210*((75*b^2*c^7*d*x^7 - 168*b^2*c^5*d*x^5 + 35*b^2*c^3*d*x^3 + 210*b^2*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 105*(5*a*b*c^8*d*x^8 - 13*a*b*c^6*d*x^6 + 9*a*b*c^4*d*x^4 + a*b*c^2*d*x^2 - 2*a*b*d)*sqrt(-c^2*d*x^2 + d))*log(c*x + sqrt(c^2*x^2 - 1)) + (1125*(49*a^2 + 2*b^2)*c^8*d*x^8 - 9*(15925*a^2 + 734*b^2)*c^6*d*x^6 + (99225*a^2 + 998*b^2)*c^4*d*x^4 + (11025*a^2 + 40742*b^2)*c^2*d*x^2 - 2*(11025*a^2 + 18692*b^2)*d)*sqrt(-c^2*d*x^2 + d))/(c^6*x^2 - c^4)","A",0
179,0,0,0,0.637593," ","integrate(x^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a^{2} c^{2} d x^{4} - a^{2} d x^{2} + {\left(b^{2} c^{2} d x^{4} - b^{2} d x^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{4} - a b d x^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a^2*c^2*d*x^4 - a^2*d*x^2 + (b^2*c^2*d*x^4 - b^2*d*x^2)*arccosh(c*x)^2 + 2*(a*b*c^2*d*x^4 - a*b*d*x^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
180,1,367,0,0.567832," ","integrate(x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","-\frac{225 \, {\left(b^{2} c^{6} d x^{6} - 3 \, b^{2} c^{4} d x^{4} + 3 \, b^{2} c^{2} d x^{2} - b^{2} d\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} - 30 \, {\left(3 \, a b c^{5} d x^{5} - 10 \, a b c^{3} d x^{3} + 15 \, a b c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 30 \, {\left({\left(3 \, b^{2} c^{5} d x^{5} - 10 \, b^{2} c^{3} d x^{3} + 15 \, b^{2} c d x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 15 \, {\left(a b c^{6} d x^{6} - 3 \, a b c^{4} d x^{4} + 3 \, a b c^{2} d x^{2} - a b d\right)} \sqrt{-c^{2} d x^{2} + d}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(9 \, {\left(25 \, a^{2} + 2 \, b^{2}\right)} c^{6} d x^{6} - {\left(675 \, a^{2} + 94 \, b^{2}\right)} c^{4} d x^{4} + {\left(675 \, a^{2} + 374 \, b^{2}\right)} c^{2} d x^{2} - {\left(225 \, a^{2} + 298 \, b^{2}\right)} d\right)} \sqrt{-c^{2} d x^{2} + d}}{1125 \, {\left(c^{4} x^{2} - c^{2}\right)}}"," ",0,"-1/1125*(225*(b^2*c^6*d*x^6 - 3*b^2*c^4*d*x^4 + 3*b^2*c^2*d*x^2 - b^2*d)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1))^2 - 30*(3*a*b*c^5*d*x^5 - 10*a*b*c^3*d*x^3 + 15*a*b*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 30*((3*b^2*c^5*d*x^5 - 10*b^2*c^3*d*x^3 + 15*b^2*c*d*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 15*(a*b*c^6*d*x^6 - 3*a*b*c^4*d*x^4 + 3*a*b*c^2*d*x^2 - a*b*d)*sqrt(-c^2*d*x^2 + d))*log(c*x + sqrt(c^2*x^2 - 1)) + (9*(25*a^2 + 2*b^2)*c^6*d*x^6 - (675*a^2 + 94*b^2)*c^4*d*x^4 + (675*a^2 + 374*b^2)*c^2*d*x^2 - (225*a^2 + 298*b^2)*d)*sqrt(-c^2*d*x^2 + d))/(c^4*x^2 - c^2)","A",0
181,0,0,0,0.624523," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a^{2} c^{2} d x^{2} - a^{2} d + {\left(b^{2} c^{2} d x^{2} - b^{2} d\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} - a b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a^2*c^2*d*x^2 - a^2*d + (b^2*c^2*d*x^2 - b^2*d)*arccosh(c*x)^2 + 2*(a*b*c^2*d*x^2 - a*b*d)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
182,0,0,0,0.489448," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/x,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a^{2} c^{2} d x^{2} - a^{2} d + {\left(b^{2} c^{2} d x^{2} - b^{2} d\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} - a b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x}, x\right)"," ",0,"integral(-(a^2*c^2*d*x^2 - a^2*d + (b^2*c^2*d*x^2 - b^2*d)*arccosh(c*x)^2 + 2*(a*b*c^2*d*x^2 - a*b*d)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x, x)","F",0
183,0,0,0,1.131394," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a^{2} c^{2} d x^{2} - a^{2} d + {\left(b^{2} c^{2} d x^{2} - b^{2} d\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} - a b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x^{2}}, x\right)"," ",0,"integral(-(a^2*c^2*d*x^2 - a^2*d + (b^2*c^2*d*x^2 - b^2*d)*arccosh(c*x)^2 + 2*(a*b*c^2*d*x^2 - a*b*d)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x^2, x)","F",0
184,0,0,0,0.557743," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/x^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a^{2} c^{2} d x^{2} - a^{2} d + {\left(b^{2} c^{2} d x^{2} - b^{2} d\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} - a b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x^{3}}, x\right)"," ",0,"integral(-(a^2*c^2*d*x^2 - a^2*d + (b^2*c^2*d*x^2 - b^2*d)*arccosh(c*x)^2 + 2*(a*b*c^2*d*x^2 - a*b*d)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x^3, x)","F",0
185,0,0,0,0.546180," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/x^4,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a^{2} c^{2} d x^{2} - a^{2} d + {\left(b^{2} c^{2} d x^{2} - b^{2} d\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} - a b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x^{4}}, x\right)"," ",0,"integral(-(a^2*c^2*d*x^2 - a^2*d + (b^2*c^2*d*x^2 - b^2*d)*arccosh(c*x)^2 + 2*(a*b*c^2*d*x^2 - a*b*d)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x^4, x)","F",0
186,1,558,0,0.932822," ","integrate(x^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","\frac{3969 \, {\left(7 \, b^{2} c^{10} d^{2} x^{10} - 26 \, b^{2} c^{8} d^{2} x^{8} + 34 \, b^{2} c^{6} d^{2} x^{6} - 16 \, b^{2} c^{4} d^{2} x^{4} - b^{2} c^{2} d^{2} x^{2} + 2 \, b^{2} d^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} - 126 \, {\left(49 \, a b c^{9} d^{2} x^{9} - 171 \, a b c^{7} d^{2} x^{7} + 189 \, a b c^{5} d^{2} x^{5} - 21 \, a b c^{3} d^{2} x^{3} - 126 \, a b c d^{2} x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 126 \, {\left({\left(49 \, b^{2} c^{9} d^{2} x^{9} - 171 \, b^{2} c^{7} d^{2} x^{7} + 189 \, b^{2} c^{5} d^{2} x^{5} - 21 \, b^{2} c^{3} d^{2} x^{3} - 126 \, b^{2} c d^{2} x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 63 \, {\left(7 \, a b c^{10} d^{2} x^{10} - 26 \, a b c^{8} d^{2} x^{8} + 34 \, a b c^{6} d^{2} x^{6} - 16 \, a b c^{4} d^{2} x^{4} - a b c^{2} d^{2} x^{2} + 2 \, a b d^{2}\right)} \sqrt{-c^{2} d x^{2} + d}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(343 \, {\left(81 \, a^{2} + 2 \, b^{2}\right)} c^{10} d^{2} x^{10} - 2 \, {\left(51597 \, a^{2} + 1490 \, b^{2}\right)} c^{8} d^{2} x^{8} + 2 \, {\left(67473 \, a^{2} + 2152 \, b^{2}\right)} c^{6} d^{2} x^{6} - 4 \, {\left(15876 \, a^{2} + 53 \, b^{2}\right)} c^{4} d^{2} x^{4} - {\left(3969 \, a^{2} + 14078 \, b^{2}\right)} c^{2} d^{2} x^{2} + 2 \, {\left(3969 \, a^{2} + 6140 \, b^{2}\right)} d^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{250047 \, {\left(c^{6} x^{2} - c^{4}\right)}}"," ",0,"1/250047*(3969*(7*b^2*c^10*d^2*x^10 - 26*b^2*c^8*d^2*x^8 + 34*b^2*c^6*d^2*x^6 - 16*b^2*c^4*d^2*x^4 - b^2*c^2*d^2*x^2 + 2*b^2*d^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1))^2 - 126*(49*a*b*c^9*d^2*x^9 - 171*a*b*c^7*d^2*x^7 + 189*a*b*c^5*d^2*x^5 - 21*a*b*c^3*d^2*x^3 - 126*a*b*c*d^2*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 126*((49*b^2*c^9*d^2*x^9 - 171*b^2*c^7*d^2*x^7 + 189*b^2*c^5*d^2*x^5 - 21*b^2*c^3*d^2*x^3 - 126*b^2*c*d^2*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 63*(7*a*b*c^10*d^2*x^10 - 26*a*b*c^8*d^2*x^8 + 34*a*b*c^6*d^2*x^6 - 16*a*b*c^4*d^2*x^4 - a*b*c^2*d^2*x^2 + 2*a*b*d^2)*sqrt(-c^2*d*x^2 + d))*log(c*x + sqrt(c^2*x^2 - 1)) + (343*(81*a^2 + 2*b^2)*c^10*d^2*x^10 - 2*(51597*a^2 + 1490*b^2)*c^8*d^2*x^8 + 2*(67473*a^2 + 2152*b^2)*c^6*d^2*x^6 - 4*(15876*a^2 + 53*b^2)*c^4*d^2*x^4 - (3969*a^2 + 14078*b^2)*c^2*d^2*x^2 + 2*(3969*a^2 + 6140*b^2)*d^2)*sqrt(-c^2*d*x^2 + d))/(c^6*x^2 - c^4)","A",0
187,0,0,0,0.417686," ","integrate(x^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} c^{4} d^{2} x^{6} - 2 \, a^{2} c^{2} d^{2} x^{4} + a^{2} d^{2} x^{2} + {\left(b^{2} c^{4} d^{2} x^{6} - 2 \, b^{2} c^{2} d^{2} x^{4} + b^{2} d^{2} x^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{4} d^{2} x^{6} - 2 \, a b c^{2} d^{2} x^{4} + a b d^{2} x^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a^2*c^4*d^2*x^6 - 2*a^2*c^2*d^2*x^4 + a^2*d^2*x^2 + (b^2*c^4*d^2*x^6 - 2*b^2*c^2*d^2*x^4 + b^2*d^2*x^2)*arccosh(c*x)^2 + 2*(a*b*c^4*d^2*x^6 - 2*a*b*c^2*d^2*x^4 + a*b*d^2*x^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
188,1,477,0,0.474540," ","integrate(x*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","\frac{3675 \, {\left(b^{2} c^{8} d^{2} x^{8} - 4 \, b^{2} c^{6} d^{2} x^{6} + 6 \, b^{2} c^{4} d^{2} x^{4} - 4 \, b^{2} c^{2} d^{2} x^{2} + b^{2} d^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} - 210 \, {\left(5 \, a b c^{7} d^{2} x^{7} - 21 \, a b c^{5} d^{2} x^{5} + 35 \, a b c^{3} d^{2} x^{3} - 35 \, a b c d^{2} x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 210 \, {\left({\left(5 \, b^{2} c^{7} d^{2} x^{7} - 21 \, b^{2} c^{5} d^{2} x^{5} + 35 \, b^{2} c^{3} d^{2} x^{3} - 35 \, b^{2} c d^{2} x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 35 \, {\left(a b c^{8} d^{2} x^{8} - 4 \, a b c^{6} d^{2} x^{6} + 6 \, a b c^{4} d^{2} x^{4} - 4 \, a b c^{2} d^{2} x^{2} + a b d^{2}\right)} \sqrt{-c^{2} d x^{2} + d}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(75 \, {\left(49 \, a^{2} + 2 \, b^{2}\right)} c^{8} d^{2} x^{8} - 12 \, {\left(1225 \, a^{2} + 71 \, b^{2}\right)} c^{6} d^{2} x^{6} + 2 \, {\left(11025 \, a^{2} + 1108 \, b^{2}\right)} c^{4} d^{2} x^{4} - 4 \, {\left(3675 \, a^{2} + 1459 \, b^{2}\right)} c^{2} d^{2} x^{2} + {\left(3675 \, a^{2} + 4322 \, b^{2}\right)} d^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{25725 \, {\left(c^{4} x^{2} - c^{2}\right)}}"," ",0,"1/25725*(3675*(b^2*c^8*d^2*x^8 - 4*b^2*c^6*d^2*x^6 + 6*b^2*c^4*d^2*x^4 - 4*b^2*c^2*d^2*x^2 + b^2*d^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1))^2 - 210*(5*a*b*c^7*d^2*x^7 - 21*a*b*c^5*d^2*x^5 + 35*a*b*c^3*d^2*x^3 - 35*a*b*c*d^2*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 210*((5*b^2*c^7*d^2*x^7 - 21*b^2*c^5*d^2*x^5 + 35*b^2*c^3*d^2*x^3 - 35*b^2*c*d^2*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 35*(a*b*c^8*d^2*x^8 - 4*a*b*c^6*d^2*x^6 + 6*a*b*c^4*d^2*x^4 - 4*a*b*c^2*d^2*x^2 + a*b*d^2)*sqrt(-c^2*d*x^2 + d))*log(c*x + sqrt(c^2*x^2 - 1)) + (75*(49*a^2 + 2*b^2)*c^8*d^2*x^8 - 12*(1225*a^2 + 71*b^2)*c^6*d^2*x^6 + 2*(11025*a^2 + 1108*b^2)*c^4*d^2*x^4 - 4*(3675*a^2 + 1459*b^2)*c^2*d^2*x^2 + (3675*a^2 + 4322*b^2)*d^2)*sqrt(-c^2*d*x^2 + d))/(c^4*x^2 - c^2)","A",0
189,0,0,0,0.878108," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} c^{4} d^{2} x^{4} - 2 \, a^{2} c^{2} d^{2} x^{2} + a^{2} d^{2} + {\left(b^{2} c^{4} d^{2} x^{4} - 2 \, b^{2} c^{2} d^{2} x^{2} + b^{2} d^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{4} d^{2} x^{4} - 2 \, a b c^{2} d^{2} x^{2} + a b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a^2*c^4*d^2*x^4 - 2*a^2*c^2*d^2*x^2 + a^2*d^2 + (b^2*c^4*d^2*x^4 - 2*b^2*c^2*d^2*x^2 + b^2*d^2)*arccosh(c*x)^2 + 2*(a*b*c^4*d^2*x^4 - 2*a*b*c^2*d^2*x^2 + a*b*d^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
190,0,0,0,0.535640," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} c^{4} d^{2} x^{4} - 2 \, a^{2} c^{2} d^{2} x^{2} + a^{2} d^{2} + {\left(b^{2} c^{4} d^{2} x^{4} - 2 \, b^{2} c^{2} d^{2} x^{2} + b^{2} d^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{4} d^{2} x^{4} - 2 \, a b c^{2} d^{2} x^{2} + a b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x}, x\right)"," ",0,"integral((a^2*c^4*d^2*x^4 - 2*a^2*c^2*d^2*x^2 + a^2*d^2 + (b^2*c^4*d^2*x^4 - 2*b^2*c^2*d^2*x^2 + b^2*d^2)*arccosh(c*x)^2 + 2*(a*b*c^4*d^2*x^4 - 2*a*b*c^2*d^2*x^2 + a*b*d^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x, x)","F",0
191,0,0,0,0.510690," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} c^{4} d^{2} x^{4} - 2 \, a^{2} c^{2} d^{2} x^{2} + a^{2} d^{2} + {\left(b^{2} c^{4} d^{2} x^{4} - 2 \, b^{2} c^{2} d^{2} x^{2} + b^{2} d^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{4} d^{2} x^{4} - 2 \, a b c^{2} d^{2} x^{2} + a b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x^{2}}, x\right)"," ",0,"integral((a^2*c^4*d^2*x^4 - 2*a^2*c^2*d^2*x^2 + a^2*d^2 + (b^2*c^4*d^2*x^4 - 2*b^2*c^2*d^2*x^2 + b^2*d^2)*arccosh(c*x)^2 + 2*(a*b*c^4*d^2*x^4 - 2*a*b*c^2*d^2*x^2 + a*b*d^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x^2, x)","F",0
192,0,0,0,1.056326," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} c^{4} d^{2} x^{4} - 2 \, a^{2} c^{2} d^{2} x^{2} + a^{2} d^{2} + {\left(b^{2} c^{4} d^{2} x^{4} - 2 \, b^{2} c^{2} d^{2} x^{2} + b^{2} d^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{4} d^{2} x^{4} - 2 \, a b c^{2} d^{2} x^{2} + a b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x^{3}}, x\right)"," ",0,"integral((a^2*c^4*d^2*x^4 - 2*a^2*c^2*d^2*x^2 + a^2*d^2 + (b^2*c^4*d^2*x^4 - 2*b^2*c^2*d^2*x^2 + b^2*d^2)*arccosh(c*x)^2 + 2*(a*b*c^4*d^2*x^4 - 2*a*b*c^2*d^2*x^2 + a*b*d^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x^3, x)","F",0
193,0,0,0,0.775067," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} c^{4} d^{2} x^{4} - 2 \, a^{2} c^{2} d^{2} x^{2} + a^{2} d^{2} + {\left(b^{2} c^{4} d^{2} x^{4} - 2 \, b^{2} c^{2} d^{2} x^{2} + b^{2} d^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{4} d^{2} x^{4} - 2 \, a b c^{2} d^{2} x^{2} + a b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{x^{4}}, x\right)"," ",0,"integral((a^2*c^4*d^2*x^4 - 2*a^2*c^2*d^2*x^2 + a^2*d^2 + (b^2*c^4*d^2*x^4 - 2*b^2*c^2*d^2*x^2 + b^2*d^2)*arccosh(c*x)^2 + 2*(a*b*c^4*d^2*x^4 - 2*a*b*c^2*d^2*x^2 + a*b*d^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/x^4, x)","F",0
194,1,348,0,0.480456," ","integrate(x^5*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","-\frac{225 \, {\left(3 \, b^{2} c^{6} x^{6} + b^{2} c^{4} x^{4} + 4 \, b^{2} c^{2} x^{2} - 8 \, b^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} - 30 \, {\left(9 \, a b c^{5} x^{5} + 20 \, a b c^{3} x^{3} + 120 \, a b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 30 \, {\left({\left(9 \, b^{2} c^{5} x^{5} + 20 \, b^{2} c^{3} x^{3} + 120 \, b^{2} c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 15 \, {\left(3 \, a b c^{6} x^{6} + a b c^{4} x^{4} + 4 \, a b c^{2} x^{2} - 8 \, a b\right)} \sqrt{-c^{2} d x^{2} + d}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(27 \, {\left(25 \, a^{2} + 2 \, b^{2}\right)} c^{6} x^{6} + {\left(225 \, a^{2} + 218 \, b^{2}\right)} c^{4} x^{4} + 4 \, {\left(225 \, a^{2} + 968 \, b^{2}\right)} c^{2} x^{2} - 1800 \, a^{2} - 4144 \, b^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{3375 \, {\left(c^{8} d x^{2} - c^{6} d\right)}}"," ",0,"-1/3375*(225*(3*b^2*c^6*x^6 + b^2*c^4*x^4 + 4*b^2*c^2*x^2 - 8*b^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1))^2 - 30*(9*a*b*c^5*x^5 + 20*a*b*c^3*x^3 + 120*a*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 30*((9*b^2*c^5*x^5 + 20*b^2*c^3*x^3 + 120*b^2*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 15*(3*a*b*c^6*x^6 + a*b*c^4*x^4 + 4*a*b*c^2*x^2 - 8*a*b)*sqrt(-c^2*d*x^2 + d))*log(c*x + sqrt(c^2*x^2 - 1)) + (27*(25*a^2 + 2*b^2)*c^6*x^6 + (225*a^2 + 218*b^2)*c^4*x^4 + 4*(225*a^2 + 968*b^2)*c^2*x^2 - 1800*a^2 - 4144*b^2)*sqrt(-c^2*d*x^2 + d))/(c^8*d*x^2 - c^6*d)","A",0
195,0,0,0,0.791528," ","integrate(x^4*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b^{2} x^{4} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{4} \operatorname{arcosh}\left(c x\right) + a^{2} x^{4}\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-(b^2*x^4*arccosh(c*x)^2 + 2*a*b*x^4*arccosh(c*x) + a^2*x^4)*sqrt(-c^2*d*x^2 + d)/(c^2*d*x^2 - d), x)","F",0
196,1,282,0,0.620733," ","integrate(x^3*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","-\frac{9 \, {\left(b^{2} c^{4} x^{4} + b^{2} c^{2} x^{2} - 2 \, b^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} - 6 \, {\left(a b c^{3} x^{3} + 6 \, a b c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 6 \, {\left({\left(b^{2} c^{3} x^{3} + 6 \, b^{2} c x\right)} \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} - 3 \, {\left(a b c^{4} x^{4} + a b c^{2} x^{2} - 2 \, a b\right)} \sqrt{-c^{2} d x^{2} + d}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left({\left(9 \, a^{2} + 2 \, b^{2}\right)} c^{4} x^{4} + {\left(9 \, a^{2} + 38 \, b^{2}\right)} c^{2} x^{2} - 18 \, a^{2} - 40 \, b^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{27 \, {\left(c^{6} d x^{2} - c^{4} d\right)}}"," ",0,"-1/27*(9*(b^2*c^4*x^4 + b^2*c^2*x^2 - 2*b^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1))^2 - 6*(a*b*c^3*x^3 + 6*a*b*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 6*((b^2*c^3*x^3 + 6*b^2*c*x)*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1) - 3*(a*b*c^4*x^4 + a*b*c^2*x^2 - 2*a*b)*sqrt(-c^2*d*x^2 + d))*log(c*x + sqrt(c^2*x^2 - 1)) + ((9*a^2 + 2*b^2)*c^4*x^4 + (9*a^2 + 38*b^2)*c^2*x^2 - 18*a^2 - 40*b^2)*sqrt(-c^2*d*x^2 + d))/(c^6*d*x^2 - c^4*d)","A",0
197,0,0,0,0.617361," ","integrate(x^2*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b^{2} x^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arcosh}\left(c x\right) + a^{2} x^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-(b^2*x^2*arccosh(c*x)^2 + 2*a*b*x^2*arccosh(c*x) + a^2*x^2)*sqrt(-c^2*d*x^2 + d)/(c^2*d*x^2 - d), x)","F",0
198,1,218,0,1.107218," ","integrate(x*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} a b c x - {\left(b^{2} c^{2} x^{2} - b^{2}\right)} \sqrt{-c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} + 2 \, {\left(\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} b^{2} c x - {\left(a b c^{2} x^{2} - a b\right)} \sqrt{-c^{2} d x^{2} + d}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left({\left(a^{2} + 2 \, b^{2}\right)} c^{2} x^{2} - a^{2} - 2 \, b^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{4} d x^{2} - c^{2} d}"," ",0,"(2*sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*a*b*c*x - (b^2*c^2*x^2 - b^2)*sqrt(-c^2*d*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1))^2 + 2*(sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*b^2*c*x - (a*b*c^2*x^2 - a*b)*sqrt(-c^2*d*x^2 + d))*log(c*x + sqrt(c^2*x^2 - 1)) - ((a^2 + 2*b^2)*c^2*x^2 - a^2 - 2*b^2)*sqrt(-c^2*d*x^2 + d))/(c^4*d*x^2 - c^2*d)","A",0
199,0,0,0,0.525845," ","integrate((a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(c^2*d*x^2 - d), x)","F",0
200,0,0,0,0.650158," ","integrate((a+b*arccosh(c*x))^2/x/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{c^{2} d x^{3} - d x}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(c^2*d*x^3 - d*x), x)","F",0
201,0,0,0,0.604265," ","integrate((a+b*arccosh(c*x))^2/x^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{c^{2} d x^{4} - d x^{2}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(c^2*d*x^4 - d*x^2), x)","F",0
202,0,0,0,0.653816," ","integrate((a+b*arccosh(c*x))^2/x^3/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{c^{2} d x^{5} - d x^{3}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(c^2*d*x^5 - d*x^3), x)","F",0
203,0,0,0,0.503347," ","integrate((a+b*arccosh(c*x))^2/x^4/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{c^{2} d x^{6} - d x^{4}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(c^2*d*x^6 - d*x^4), x)","F",0
204,0,0,0,0.492960," ","integrate(x^5*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{5} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{5} \operatorname{arcosh}\left(c x\right) + a^{2} x^{5}\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((b^2*x^5*arccosh(c*x)^2 + 2*a*b*x^5*arccosh(c*x) + a^2*x^5)*sqrt(-c^2*d*x^2 + d)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
205,0,0,0,0.570940," ","integrate(x^4*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{4} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{4} \operatorname{arcosh}\left(c x\right) + a^{2} x^{4}\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((b^2*x^4*arccosh(c*x)^2 + 2*a*b*x^4*arccosh(c*x) + a^2*x^4)*sqrt(-c^2*d*x^2 + d)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
206,0,0,0,0.658009," ","integrate(x^3*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{3} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{3} \operatorname{arcosh}\left(c x\right) + a^{2} x^{3}\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((b^2*x^3*arccosh(c*x)^2 + 2*a*b*x^3*arccosh(c*x) + a^2*x^3)*sqrt(-c^2*d*x^2 + d)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
207,0,0,0,0.495206," ","integrate(x^2*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arcosh}\left(c x\right) + a^{2} x^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((b^2*x^2*arccosh(c*x)^2 + 2*a*b*x^2*arccosh(c*x) + a^2*x^2)*sqrt(-c^2*d*x^2 + d)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
208,0,0,0,0.662284," ","integrate(x*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} x \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x \operatorname{arcosh}\left(c x\right) + a^{2} x\right)}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b^2*x*arccosh(c*x)^2 + 2*a*b*x*arccosh(c*x) + a^2*x)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
209,0,0,0,0.587286," ","integrate((a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
210,0,0,0,0.589231," ","integrate((a+b*arccosh(c*x))^2/x/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{c^{4} d^{2} x^{5} - 2 \, c^{2} d^{2} x^{3} + d^{2} x}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(c^4*d^2*x^5 - 2*c^2*d^2*x^3 + d^2*x), x)","F",0
211,0,0,0,0.452002," ","integrate((a+b*arccosh(c*x))^2/x^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{c^{4} d^{2} x^{6} - 2 \, c^{2} d^{2} x^{4} + d^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(c^4*d^2*x^6 - 2*c^2*d^2*x^4 + d^2*x^2), x)","F",0
212,0,0,0,0.673635," ","integrate((a+b*arccosh(c*x))^2/x^3/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{c^{4} d^{2} x^{7} - 2 \, c^{2} d^{2} x^{5} + d^{2} x^{3}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(c^4*d^2*x^7 - 2*c^2*d^2*x^5 + d^2*x^3), x)","F",0
213,0,0,0,0.562677," ","integrate((a+b*arccosh(c*x))^2/x^4/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{c^{4} d^{2} x^{8} - 2 \, c^{2} d^{2} x^{6} + d^{2} x^{4}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(c^4*d^2*x^8 - 2*c^2*d^2*x^6 + d^2*x^4), x)","F",0
214,0,0,0,0.897003," ","integrate(x^5*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b^{2} x^{5} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{5} \operatorname{arcosh}\left(c x\right) + a^{2} x^{5}\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-(b^2*x^5*arccosh(c*x)^2 + 2*a*b*x^5*arccosh(c*x) + a^2*x^5)*sqrt(-c^2*d*x^2 + d)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
215,0,0,0,0.560300," ","integrate(x^4*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b^{2} x^{4} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{4} \operatorname{arcosh}\left(c x\right) + a^{2} x^{4}\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-(b^2*x^4*arccosh(c*x)^2 + 2*a*b*x^4*arccosh(c*x) + a^2*x^4)*sqrt(-c^2*d*x^2 + d)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
216,0,0,0,0.582418," ","integrate(x^3*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b^{2} x^{3} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{3} \operatorname{arcosh}\left(c x\right) + a^{2} x^{3}\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-(b^2*x^3*arccosh(c*x)^2 + 2*a*b*x^3*arccosh(c*x) + a^2*x^3)*sqrt(-c^2*d*x^2 + d)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
217,0,0,0,0.582778," ","integrate(x^2*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b^{2} x^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arcosh}\left(c x\right) + a^{2} x^{2}\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-(b^2*x^2*arccosh(c*x)^2 + 2*a*b*x^2*arccosh(c*x) + a^2*x^2)*sqrt(-c^2*d*x^2 + d)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
218,0,0,0,0.672341," ","integrate(x*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} x \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x \operatorname{arcosh}\left(c x\right) + a^{2} x\right)}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b^2*x*arccosh(c*x)^2 + 2*a*b*x*arccosh(c*x) + a^2*x)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
219,0,0,0,0.728691," ","integrate((a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
220,0,0,0,0.664265," ","integrate((a+b*arccosh(c*x))^2/x/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{c^{6} d^{3} x^{7} - 3 \, c^{4} d^{3} x^{5} + 3 \, c^{2} d^{3} x^{3} - d^{3} x}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(c^6*d^3*x^7 - 3*c^4*d^3*x^5 + 3*c^2*d^3*x^3 - d^3*x), x)","F",0
221,0,0,0,0.607608," ","integrate((a+b*arccosh(c*x))^2/x^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{c^{6} d^{3} x^{8} - 3 \, c^{4} d^{3} x^{6} + 3 \, c^{2} d^{3} x^{4} - d^{3} x^{2}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(c^6*d^3*x^8 - 3*c^4*d^3*x^6 + 3*c^2*d^3*x^4 - d^3*x^2), x)","F",0
222,0,0,0,0.618937," ","integrate((a+b*arccosh(c*x))^2/x^3/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{c^{6} d^{3} x^{9} - 3 \, c^{4} d^{3} x^{7} + 3 \, c^{2} d^{3} x^{5} - d^{3} x^{3}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(c^6*d^3*x^9 - 3*c^4*d^3*x^7 + 3*c^2*d^3*x^5 - d^3*x^3), x)","F",0
223,0,0,0,0.536682," ","integrate((a+b*arccosh(c*x))^2/x^4/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)}}{c^{6} d^{3} x^{10} - 3 \, c^{4} d^{3} x^{8} + 3 \, c^{2} d^{3} x^{6} - d^{3} x^{4}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(c^6*d^3*x^10 - 3*c^4*d^3*x^8 + 3*c^2*d^3*x^6 - d^3*x^4), x)","F",0
224,0,0,0,0.828380," ","integrate(arccosh(a*x)^2/(-a^2*c*x^2+c)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-a^{2} c x^{2} + c} \operatorname{arcosh}\left(a x\right)^{2}}{a^{8} c^{4} x^{8} - 4 \, a^{6} c^{4} x^{6} + 6 \, a^{4} c^{4} x^{4} - 4 \, a^{2} c^{4} x^{2} + c^{4}}, x\right)"," ",0,"integral(sqrt(-a^2*c*x^2 + c)*arccosh(a*x)^2/(a^8*c^4*x^8 - 4*a^6*c^4*x^6 + 6*a^4*c^4*x^4 - 4*a^2*c^4*x^2 + c^4), x)","F",0
225,0,0,0,0.545317," ","integrate(x^4*arccosh(a*x)^2/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} x^{4} \operatorname{arcosh}\left(a x\right)^{2}}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*x^4*arccosh(a*x)^2/(a^2*x^2 - 1), x)","F",0
226,1,150,0,0.622909," ","integrate(x^3*arccosh(a*x)^2/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{9 \, {\left(a^{4} x^{4} + a^{2} x^{2} - 2\right)} \sqrt{-a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{2} - 6 \, {\left(a^{3} x^{3} + 6 \, a x\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{-a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) + 2 \, {\left(a^{4} x^{4} + 19 \, a^{2} x^{2} - 20\right)} \sqrt{-a^{2} x^{2} + 1}}{27 \, {\left(a^{6} x^{2} - a^{4}\right)}}"," ",0,"-1/27*(9*(a^4*x^4 + a^2*x^2 - 2)*sqrt(-a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 - 1))^2 - 6*(a^3*x^3 + 6*a*x)*sqrt(a^2*x^2 - 1)*sqrt(-a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 - 1)) + 2*(a^4*x^4 + 19*a^2*x^2 - 20)*sqrt(-a^2*x^2 + 1))/(a^6*x^2 - a^4)","A",0
227,0,0,0,0.554674," ","integrate(x^2*arccosh(a*x)^2/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} x^{2} \operatorname{arcosh}\left(a x\right)^{2}}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*x^2*arccosh(a*x)^2/(a^2*x^2 - 1), x)","F",0
228,1,114,0,0.517499," ","integrate(x*arccosh(a*x)^2/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{a^{2} x^{2} - 1} \sqrt{-a^{2} x^{2} + 1} a x \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) + {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{2} - 2 \, {\left(a^{2} x^{2} - 1\right)} \sqrt{-a^{2} x^{2} + 1}}{a^{4} x^{2} - a^{2}}"," ",0,"(2*sqrt(a^2*x^2 - 1)*sqrt(-a^2*x^2 + 1)*a*x*log(a*x + sqrt(a^2*x^2 - 1)) + (-a^2*x^2 + 1)^(3/2)*log(a*x + sqrt(a^2*x^2 - 1))^2 - 2*(a^2*x^2 - 1)*sqrt(-a^2*x^2 + 1))/(a^4*x^2 - a^2)","A",0
229,0,0,0,0.531277," ","integrate(arccosh(a*x)^2/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} \operatorname{arcosh}\left(a x\right)^{2}}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*arccosh(a*x)^2/(a^2*x^2 - 1), x)","F",0
230,0,0,0,0.474961," ","integrate(arccosh(a*x)^2/x/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} \operatorname{arcosh}\left(a x\right)^{2}}{a^{2} x^{3} - x}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*arccosh(a*x)^2/(a^2*x^3 - x), x)","F",0
231,0,0,0,0.537555," ","integrate(arccosh(a*x)^2/x^2/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} \operatorname{arcosh}\left(a x\right)^{2}}{a^{2} x^{4} - x^{2}}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*arccosh(a*x)^2/(a^2*x^4 - x^2), x)","F",0
232,0,0,0,0.484377," ","integrate(arccosh(a*x)^2/x^3/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} \operatorname{arcosh}\left(a x\right)^{2}}{a^{2} x^{5} - x^{3}}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*arccosh(a*x)^2/(a^2*x^5 - x^3), x)","F",0
233,0,0,0,0.433183," ","integrate((f*x)^m*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} c^{4} d^{2} x^{4} - 2 \, a^{2} c^{2} d^{2} x^{2} + a^{2} d^{2} + {\left(b^{2} c^{4} d^{2} x^{4} - 2 \, b^{2} c^{2} d^{2} x^{2} + b^{2} d^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{4} d^{2} x^{4} - 2 \, a b c^{2} d^{2} x^{2} + a b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d} \left(f x\right)^{m}, x\right)"," ",0,"integral((a^2*c^4*d^2*x^4 - 2*a^2*c^2*d^2*x^2 + a^2*d^2 + (b^2*c^4*d^2*x^4 - 2*b^2*c^2*d^2*x^2 + b^2*d^2)*arccosh(c*x)^2 + 2*(a*b*c^4*d^2*x^4 - 2*a*b*c^2*d^2*x^2 + a*b*d^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)*(f*x)^m, x)","F",0
234,0,0,0,0.496997," ","integrate((f*x)^m*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a^{2} c^{2} d x^{2} - a^{2} d + {\left(b^{2} c^{2} d x^{2} - b^{2} d\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} - a b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d} \left(f x\right)^{m}, x\right)"," ",0,"integral(-(a^2*c^2*d*x^2 - a^2*d + (b^2*c^2*d*x^2 - b^2*d)*arccosh(c*x)^2 + 2*(a*b*c^2*d*x^2 - a*b*d)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)*(f*x)^m, x)","F",0
235,0,0,0,0.609666," ","integrate((f*x)^m*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)} \left(f x\right)^{m}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)*(f*x)^m, x)","F",0
236,0,0,0,0.582129," ","integrate((f*x)^m*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)} \left(f x\right)^{m}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)*(f*x)^m/(c^2*d*x^2 - d), x)","F",0
237,0,0,0,0.782969," ","integrate((f*x)^m*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)} \left(f x\right)^{m}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)*(f*x)^m/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
238,0,0,0,0.731307," ","integrate((f*x)^m*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)} \left(f x\right)^{m}}{c^{6} d^{3} x^{6} - 3 \, c^{4} d^{3} x^{4} + 3 \, c^{2} d^{3} x^{2} - d^{3}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)*(f*x)^m/(c^6*d^3*x^6 - 3*c^4*d^3*x^4 + 3*c^2*d^3*x^2 - d^3), x)","F",0
239,0,0,0,0.550783," ","integrate((f*x)^m*arccosh(c*x)^2/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} \left(f x\right)^{m} \operatorname{arcosh}\left(c x\right)^{2}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(f*x)^m*arccosh(c*x)^2/(c^2*x^2 - 1), x)","F",0
240,1,248,0,0.466406," ","integrate((-a^2*c*x^2+c)^3*arccosh(a*x)^3,x, algorithm=""fricas"")","-\frac{385875 \, {\left(5 \, a^{7} c^{3} x^{7} - 21 \, a^{5} c^{3} x^{5} + 35 \, a^{3} c^{3} x^{3} - 35 \, a c^{3} x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{3} - 11025 \, {\left(75 \, a^{6} c^{3} x^{6} - 351 \, a^{4} c^{3} x^{4} + 757 \, a^{2} c^{3} x^{2} - 2161 \, c^{3}\right)} \sqrt{a^{2} x^{2} - 1} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{2} + 210 \, {\left(1125 \, a^{7} c^{3} x^{7} - 7371 \, a^{5} c^{3} x^{5} + 26495 \, a^{3} c^{3} x^{3} - 226905 \, a c^{3} x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - 2 \, {\left(16875 \, a^{6} c^{3} x^{6} - 134541 \, a^{4} c^{3} x^{4} + 747937 \, a^{2} c^{3} x^{2} - 22329151 \, c^{3}\right)} \sqrt{a^{2} x^{2} - 1}}{13505625 \, a}"," ",0,"-1/13505625*(385875*(5*a^7*c^3*x^7 - 21*a^5*c^3*x^5 + 35*a^3*c^3*x^3 - 35*a*c^3*x)*log(a*x + sqrt(a^2*x^2 - 1))^3 - 11025*(75*a^6*c^3*x^6 - 351*a^4*c^3*x^4 + 757*a^2*c^3*x^2 - 2161*c^3)*sqrt(a^2*x^2 - 1)*log(a*x + sqrt(a^2*x^2 - 1))^2 + 210*(1125*a^7*c^3*x^7 - 7371*a^5*c^3*x^5 + 26495*a^3*c^3*x^3 - 226905*a*c^3*x)*log(a*x + sqrt(a^2*x^2 - 1)) - 2*(16875*a^6*c^3*x^6 - 134541*a^4*c^3*x^4 + 747937*a^2*c^3*x^2 - 22329151*c^3)*sqrt(a^2*x^2 - 1))/a","A",0
241,1,204,0,0.622925," ","integrate((-a^2*c*x^2+c)^2*arccosh(a*x)^3,x, algorithm=""fricas"")","\frac{1125 \, {\left(3 \, a^{5} c^{2} x^{5} - 10 \, a^{3} c^{2} x^{3} + 15 \, a c^{2} x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{3} - 225 \, {\left(9 \, a^{4} c^{2} x^{4} - 38 \, a^{2} c^{2} x^{2} + 149 \, c^{2}\right)} \sqrt{a^{2} x^{2} - 1} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{2} + 30 \, {\left(27 \, a^{5} c^{2} x^{5} - 190 \, a^{3} c^{2} x^{3} + 2235 \, a c^{2} x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - 2 \, {\left(81 \, a^{4} c^{2} x^{4} - 842 \, a^{2} c^{2} x^{2} + 31841 \, c^{2}\right)} \sqrt{a^{2} x^{2} - 1}}{16875 \, a}"," ",0,"1/16875*(1125*(3*a^5*c^2*x^5 - 10*a^3*c^2*x^3 + 15*a*c^2*x)*log(a*x + sqrt(a^2*x^2 - 1))^3 - 225*(9*a^4*c^2*x^4 - 38*a^2*c^2*x^2 + 149*c^2)*sqrt(a^2*x^2 - 1)*log(a*x + sqrt(a^2*x^2 - 1))^2 + 30*(27*a^5*c^2*x^5 - 190*a^3*c^2*x^3 + 2235*a*c^2*x)*log(a*x + sqrt(a^2*x^2 - 1)) - 2*(81*a^4*c^2*x^4 - 842*a^2*c^2*x^2 + 31841*c^2)*sqrt(a^2*x^2 - 1))/a","A",0
242,1,140,0,0.633625," ","integrate((-a^2*c*x^2+c)*arccosh(a*x)^3,x, algorithm=""fricas"")","-\frac{9 \, {\left(a^{3} c x^{3} - 3 \, a c x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{3} - 9 \, {\left(a^{2} c x^{2} - 7 \, c\right)} \sqrt{a^{2} x^{2} - 1} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{2} + 6 \, {\left(a^{3} c x^{3} - 21 \, a c x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - 2 \, {\left(a^{2} c x^{2} - 61 \, c\right)} \sqrt{a^{2} x^{2} - 1}}{27 \, a}"," ",0,"-1/27*(9*(a^3*c*x^3 - 3*a*c*x)*log(a*x + sqrt(a^2*x^2 - 1))^3 - 9*(a^2*c*x^2 - 7*c)*sqrt(a^2*x^2 - 1)*log(a*x + sqrt(a^2*x^2 - 1))^2 + 6*(a^3*c*x^3 - 21*a*c*x)*log(a*x + sqrt(a^2*x^2 - 1)) - 2*(a^2*c*x^2 - 61*c)*sqrt(a^2*x^2 - 1))/a","A",0
243,0,0,0,0.472032," ","integrate(arccosh(a*x)^3/(-a^2*c*x^2+c),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\operatorname{arcosh}\left(a x\right)^{3}}{a^{2} c x^{2} - c}, x\right)"," ",0,"integral(-arccosh(a*x)^3/(a^2*c*x^2 - c), x)","F",0
244,0,0,0,0.578411," ","integrate(arccosh(a*x)^3/(-a^2*c*x^2+c)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arcosh}\left(a x\right)^{3}}{a^{4} c^{2} x^{4} - 2 \, a^{2} c^{2} x^{2} + c^{2}}, x\right)"," ",0,"integral(arccosh(a*x)^3/(a^4*c^2*x^4 - 2*a^2*c^2*x^2 + c^2), x)","F",0
245,0,0,0,0.817683," ","integrate(arccosh(a*x)^3/(-a^2*c*x^2+c)^3,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\operatorname{arcosh}\left(a x\right)^{3}}{a^{6} c^{3} x^{6} - 3 \, a^{4} c^{3} x^{4} + 3 \, a^{2} c^{3} x^{2} - c^{3}}, x\right)"," ",0,"integral(-arccosh(a*x)^3/(a^6*c^3*x^6 - 3*a^4*c^3*x^4 + 3*a^2*c^3*x^2 - c^3), x)","F",0
246,0,0,0,0.556152," ","integrate((-a^2*c*x^2+c)^(5/2)*arccosh(a*x)^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{4} c^{2} x^{4} - 2 \, a^{2} c^{2} x^{2} + c^{2}\right)} \sqrt{-a^{2} c x^{2} + c} \operatorname{arcosh}\left(a x\right)^{3}, x\right)"," ",0,"integral((a^4*c^2*x^4 - 2*a^2*c^2*x^2 + c^2)*sqrt(-a^2*c*x^2 + c)*arccosh(a*x)^3, x)","F",0
247,0,0,0,0.583918," ","integrate((-a^2*c*x^2+c)^(3/2)*arccosh(a*x)^3,x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a^{2} c x^{2} - c\right)} \sqrt{-a^{2} c x^{2} + c} \operatorname{arcosh}\left(a x\right)^{3}, x\right)"," ",0,"integral(-(a^2*c*x^2 - c)*sqrt(-a^2*c*x^2 + c)*arccosh(a*x)^3, x)","F",0
248,0,0,0,0.880056," ","integrate(arccosh(a*x)^3*(-a^2*c*x^2+c)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-a^{2} c x^{2} + c} \operatorname{arcosh}\left(a x\right)^{3}, x\right)"," ",0,"integral(sqrt(-a^2*c*x^2 + c)*arccosh(a*x)^3, x)","F",0
249,0,0,0,0.522712," ","integrate(arccosh(a*x)^3/(-a^2*c*x^2+c)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} c x^{2} + c} \operatorname{arcosh}\left(a x\right)^{3}}{a^{2} c x^{2} - c}, x\right)"," ",0,"integral(-sqrt(-a^2*c*x^2 + c)*arccosh(a*x)^3/(a^2*c*x^2 - c), x)","F",0
250,0,0,0,0.460246," ","integrate(arccosh(a*x)^3/(-a^2*c*x^2+c)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-a^{2} c x^{2} + c} \operatorname{arcosh}\left(a x\right)^{3}}{a^{4} c^{2} x^{4} - 2 \, a^{2} c^{2} x^{2} + c^{2}}, x\right)"," ",0,"integral(sqrt(-a^2*c*x^2 + c)*arccosh(a*x)^3/(a^4*c^2*x^4 - 2*a^2*c^2*x^2 + c^2), x)","F",0
251,0,0,0,0.500020," ","integrate(arccosh(a*x)^3/(-a^2*c*x^2+c)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} c x^{2} + c} \operatorname{arcosh}\left(a x\right)^{3}}{a^{6} c^{3} x^{6} - 3 \, a^{4} c^{3} x^{4} + 3 \, a^{2} c^{3} x^{2} - c^{3}}, x\right)"," ",0,"integral(-sqrt(-a^2*c*x^2 + c)*arccosh(a*x)^3/(a^6*c^3*x^6 - 3*a^4*c^3*x^4 + 3*a^2*c^3*x^2 - c^3), x)","F",0
252,0,0,0,1.299806," ","integrate(arccosh(a*x)^3/(-a^2*c*x^2+c)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-a^{2} c x^{2} + c} \operatorname{arcosh}\left(a x\right)^{3}}{a^{8} c^{4} x^{8} - 4 \, a^{6} c^{4} x^{6} + 6 \, a^{4} c^{4} x^{4} - 4 \, a^{2} c^{4} x^{2} + c^{4}}, x\right)"," ",0,"integral(sqrt(-a^2*c*x^2 + c)*arccosh(a*x)^3/(a^8*c^4*x^8 - 4*a^6*c^4*x^6 + 6*a^4*c^4*x^4 - 4*a^2*c^4*x^2 + c^4), x)","F",0
253,0,0,0,0.647067," ","integrate(x^4*arccosh(a*x)^3/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} x^{4} \operatorname{arcosh}\left(a x\right)^{3}}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*x^4*arccosh(a*x)^3/(a^2*x^2 - 1), x)","F",0
254,1,205,0,0.499613," ","integrate(x^3*arccosh(a*x)^3/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{9 \, {\left(a^{4} x^{4} + a^{2} x^{2} - 2\right)} \sqrt{-a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{3} - 9 \, {\left(a^{3} x^{3} + 6 \, a x\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{-a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{2} + 6 \, {\left(a^{4} x^{4} + 19 \, a^{2} x^{2} - 20\right)} \sqrt{-a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - 2 \, {\left(a^{3} x^{3} + 60 \, a x\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{-a^{2} x^{2} + 1}}{27 \, {\left(a^{6} x^{2} - a^{4}\right)}}"," ",0,"-1/27*(9*(a^4*x^4 + a^2*x^2 - 2)*sqrt(-a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 - 1))^3 - 9*(a^3*x^3 + 6*a*x)*sqrt(a^2*x^2 - 1)*sqrt(-a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 - 1))^2 + 6*(a^4*x^4 + 19*a^2*x^2 - 20)*sqrt(-a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 - 1)) - 2*(a^3*x^3 + 60*a*x)*sqrt(a^2*x^2 - 1)*sqrt(-a^2*x^2 + 1))/(a^6*x^2 - a^4)","A",0
255,0,0,0,0.476268," ","integrate(x^2*arccosh(a*x)^3/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} x^{2} \operatorname{arcosh}\left(a x\right)^{3}}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*x^2*arccosh(a*x)^3/(a^2*x^2 - 1), x)","F",0
256,1,159,0,0.548905," ","integrate(x*arccosh(a*x)^3/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{3 \, \sqrt{a^{2} x^{2} - 1} \sqrt{-a^{2} x^{2} + 1} a x \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{2} + {\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{3} + 6 \, \sqrt{a^{2} x^{2} - 1} \sqrt{-a^{2} x^{2} + 1} a x - 6 \, {\left(a^{2} x^{2} - 1\right)} \sqrt{-a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)}{a^{4} x^{2} - a^{2}}"," ",0,"(3*sqrt(a^2*x^2 - 1)*sqrt(-a^2*x^2 + 1)*a*x*log(a*x + sqrt(a^2*x^2 - 1))^2 + (-a^2*x^2 + 1)^(3/2)*log(a*x + sqrt(a^2*x^2 - 1))^3 + 6*sqrt(a^2*x^2 - 1)*sqrt(-a^2*x^2 + 1)*a*x - 6*(a^2*x^2 - 1)*sqrt(-a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 - 1)))/(a^4*x^2 - a^2)","A",0
257,0,0,0,0.630376," ","integrate(arccosh(a*x)^3/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} \operatorname{arcosh}\left(a x\right)^{3}}{a^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*arccosh(a*x)^3/(a^2*x^2 - 1), x)","F",0
258,0,0,0,0.504941," ","integrate(arccosh(a*x)^3/x/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} \operatorname{arcosh}\left(a x\right)^{3}}{a^{2} x^{3} - x}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*arccosh(a*x)^3/(a^2*x^3 - x), x)","F",0
259,0,0,0,0.669540," ","integrate(arccosh(a*x)^3/x^2/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} \operatorname{arcosh}\left(a x\right)^{3}}{a^{2} x^{4} - x^{2}}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*arccosh(a*x)^3/(a^2*x^4 - x^2), x)","F",0
260,0,0,0,0.637741," ","integrate(arccosh(a*x)^3/x^3/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} \operatorname{arcosh}\left(a x\right)^{3}}{a^{2} x^{5} - x^{3}}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*arccosh(a*x)^3/(a^2*x^5 - x^3), x)","F",0
261,0,0,0,1.075543," ","integrate((f*x)^m*(a+b*arccosh(c*x))^3/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b^{3} \operatorname{arcosh}\left(c x\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(c x\right) + a^{3}\right)} \sqrt{-c^{2} x^{2} + 1} \left(f x\right)^{m}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b^3*arccosh(c*x)^3 + 3*a*b^2*arccosh(c*x)^2 + 3*a^2*b*arccosh(c*x) + a^3)*sqrt(-c^2*x^2 + 1)*(f*x)^m/(c^2*x^2 - 1), x)","F",0
262,0,0,0,0.650656," ","integrate((-a^2*c*x^2+c)^3/arccosh(a*x),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{a^{6} c^{3} x^{6} - 3 \, a^{4} c^{3} x^{4} + 3 \, a^{2} c^{3} x^{2} - c^{3}}{\operatorname{arcosh}\left(a x\right)}, x\right)"," ",0,"integral(-(a^6*c^3*x^6 - 3*a^4*c^3*x^4 + 3*a^2*c^3*x^2 - c^3)/arccosh(a*x), x)","F",0
263,0,0,0,0.494434," ","integrate((-a^2*c*x^2+c)^2/arccosh(a*x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{4} c^{2} x^{4} - 2 \, a^{2} c^{2} x^{2} + c^{2}}{\operatorname{arcosh}\left(a x\right)}, x\right)"," ",0,"integral((a^4*c^2*x^4 - 2*a^2*c^2*x^2 + c^2)/arccosh(a*x), x)","F",0
264,0,0,0,0.447707," ","integrate((-a^2*c*x^2+c)/arccosh(a*x),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{a^{2} c x^{2} - c}{\operatorname{arcosh}\left(a x\right)}, x\right)"," ",0,"integral(-(a^2*c*x^2 - c)/arccosh(a*x), x)","F",0
265,0,0,0,0.950896," ","integrate(1/(-a^2*c*x^2+c)/arccosh(a*x),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{{\left(a^{2} c x^{2} - c\right)} \operatorname{arcosh}\left(a x\right)}, x\right)"," ",0,"integral(-1/((a^2*c*x^2 - c)*arccosh(a*x)), x)","F",0
266,0,0,0,0.625507," ","integrate(1/(-a^2*c*x^2+c)^2/arccosh(a*x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(a^{4} c^{2} x^{4} - 2 \, a^{2} c^{2} x^{2} + c^{2}\right)} \operatorname{arcosh}\left(a x\right)}, x\right)"," ",0,"integral(1/((a^4*c^2*x^4 - 2*a^2*c^2*x^2 + c^2)*arccosh(a*x)), x)","F",0
267,0,0,0,0.505773," ","integrate(x^4*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{4}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*x^4/(b*arccosh(c*x) + a), x)","F",0
268,0,0,0,0.955727," ","integrate(x^3*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{3}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*x^3/(b*arccosh(c*x) + a), x)","F",0
269,0,0,0,0.472486," ","integrate(x^2*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{2}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*x^2/(b*arccosh(c*x) + a), x)","F",0
270,0,0,0,0.447957," ","integrate(x*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} x}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*x/(b*arccosh(c*x) + a), x)","F",0
271,0,0,0,0.510706," ","integrate((-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(b*arccosh(c*x) + a), x)","F",0
272,0,0,0,0.781150," ","integrate((-c^2*x^2+1)^(1/2)/x/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{b x \operatorname{arcosh}\left(c x\right) + a x}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(b*x*arccosh(c*x) + a*x), x)","F",0
273,0,0,0,0.533717," ","integrate((-c^2*x^2+1)^(1/2)/x^2/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{b x^{2} \operatorname{arcosh}\left(c x\right) + a x^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(b*x^2*arccosh(c*x) + a*x^2), x)","F",0
274,0,0,0,0.678045," ","integrate((-c^2*x^2+1)^(1/2)/x^3/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{b x^{3} \operatorname{arcosh}\left(c x\right) + a x^{3}}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(b*x^3*arccosh(c*x) + a*x^3), x)","F",0
275,0,0,0,0.645986," ","integrate((-c^2*x^2+1)^(1/2)/x^4/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{b x^{4} \operatorname{arcosh}\left(c x\right) + a x^{4}}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(b*x^4*arccosh(c*x) + a*x^4), x)","F",0
276,0,0,0,0.435719," ","integrate(x^3*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(c^{2} x^{5} - x^{3}\right)} \sqrt{-c^{2} x^{2} + 1}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(-(c^2*x^5 - x^3)*sqrt(-c^2*x^2 + 1)/(b*arccosh(c*x) + a), x)","F",0
277,0,0,0,0.515937," ","integrate(x^2*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(c^{2} x^{4} - x^{2}\right)} \sqrt{-c^{2} x^{2} + 1}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(-(c^2*x^4 - x^2)*sqrt(-c^2*x^2 + 1)/(b*arccosh(c*x) + a), x)","F",0
278,0,0,0,0.692414," ","integrate(x*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(c^{2} x^{3} - x\right)} \sqrt{-c^{2} x^{2} + 1}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(-(c^2*x^3 - x)*sqrt(-c^2*x^2 + 1)/(b*arccosh(c*x) + a), x)","F",0
279,0,0,0,0.476721," ","integrate((-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral((-c^2*x^2 + 1)^(3/2)/(b*arccosh(c*x) + a), x)","F",0
280,0,0,0,0.481088," ","integrate((-c^2*x^2+1)^(3/2)/x/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b x \operatorname{arcosh}\left(c x\right) + a x}, x\right)"," ",0,"integral((-c^2*x^2 + 1)^(3/2)/(b*x*arccosh(c*x) + a*x), x)","F",0
281,0,0,0,0.441511," ","integrate((-c^2*x^2+1)^(3/2)/x^2/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b x^{2} \operatorname{arcosh}\left(c x\right) + a x^{2}}, x\right)"," ",0,"integral((-c^2*x^2 + 1)^(3/2)/(b*x^2*arccosh(c*x) + a*x^2), x)","F",0
282,0,0,0,0.741843," ","integrate((-c^2*x^2+1)^(3/2)/x^3/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b x^{3} \operatorname{arcosh}\left(c x\right) + a x^{3}}, x\right)"," ",0,"integral((-c^2*x^2 + 1)^(3/2)/(b*x^3*arccosh(c*x) + a*x^3), x)","F",0
283,0,0,0,0.486825," ","integrate((-c^2*x^2+1)^(3/2)/x^4/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b x^{4} \operatorname{arcosh}\left(c x\right) + a x^{4}}, x\right)"," ",0,"integral((-c^2*x^2 + 1)^(3/2)/(b*x^4*arccosh(c*x) + a*x^4), x)","F",0
284,0,0,0,0.894589," ","integrate(x^3*(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} x^{7} - 2 \, c^{2} x^{5} + x^{3}\right)} \sqrt{-c^{2} x^{2} + 1}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral((c^4*x^7 - 2*c^2*x^5 + x^3)*sqrt(-c^2*x^2 + 1)/(b*arccosh(c*x) + a), x)","F",0
285,0,0,0,0.625104," ","integrate(x^2*(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} x^{6} - 2 \, c^{2} x^{4} + x^{2}\right)} \sqrt{-c^{2} x^{2} + 1}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral((c^4*x^6 - 2*c^2*x^4 + x^2)*sqrt(-c^2*x^2 + 1)/(b*arccosh(c*x) + a), x)","F",0
286,0,0,0,0.649277," ","integrate(x*(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} x^{5} - 2 \, c^{2} x^{3} + x\right)} \sqrt{-c^{2} x^{2} + 1}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral((c^4*x^5 - 2*c^2*x^3 + x)*sqrt(-c^2*x^2 + 1)/(b*arccosh(c*x) + a), x)","F",0
287,0,0,0,0.585261," ","integrate((-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} x^{4} - 2 \, c^{2} x^{2} + 1\right)} \sqrt{-c^{2} x^{2} + 1}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral((c^4*x^4 - 2*c^2*x^2 + 1)*sqrt(-c^2*x^2 + 1)/(b*arccosh(c*x) + a), x)","F",0
288,0,0,0,0.589594," ","integrate((-c^2*x^2+1)^(5/2)/x/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} x^{4} - 2 \, c^{2} x^{2} + 1\right)} \sqrt{-c^{2} x^{2} + 1}}{b x \operatorname{arcosh}\left(c x\right) + a x}, x\right)"," ",0,"integral((c^4*x^4 - 2*c^2*x^2 + 1)*sqrt(-c^2*x^2 + 1)/(b*x*arccosh(c*x) + a*x), x)","F",0
289,0,0,0,0.631835," ","integrate((-c^2*x^2+1)^(5/2)/x^2/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} x^{4} - 2 \, c^{2} x^{2} + 1\right)} \sqrt{-c^{2} x^{2} + 1}}{b x^{2} \operatorname{arcosh}\left(c x\right) + a x^{2}}, x\right)"," ",0,"integral((c^4*x^4 - 2*c^2*x^2 + 1)*sqrt(-c^2*x^2 + 1)/(b*x^2*arccosh(c*x) + a*x^2), x)","F",0
290,0,0,0,0.494194," ","integrate((-c^2*x^2+1)^(5/2)/x^3/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} x^{4} - 2 \, c^{2} x^{2} + 1\right)} \sqrt{-c^{2} x^{2} + 1}}{b x^{3} \operatorname{arcosh}\left(c x\right) + a x^{3}}, x\right)"," ",0,"integral((c^4*x^4 - 2*c^2*x^2 + 1)*sqrt(-c^2*x^2 + 1)/(b*x^3*arccosh(c*x) + a*x^3), x)","F",0
291,0,0,0,0.530924," ","integrate((-c^2*x^2+1)^(5/2)/x^4/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} x^{4} - 2 \, c^{2} x^{2} + 1\right)} \sqrt{-c^{2} x^{2} + 1}}{b x^{4} \operatorname{arcosh}\left(c x\right) + a x^{4}}, x\right)"," ",0,"integral((c^4*x^4 - 2*c^2*x^2 + 1)*sqrt(-c^2*x^2 + 1)/(b*x^4*arccosh(c*x) + a*x^4), x)","F",0
292,0,0,0,0.451194," ","integrate(x^4/arccosh(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} x^{4}}{{\left(a^{2} x^{2} - 1\right)} \operatorname{arcosh}\left(a x\right)}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*x^4/((a^2*x^2 - 1)*arccosh(a*x)), x)","F",0
293,0,0,0,0.501924," ","integrate(x^3/arccosh(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} x^{3}}{{\left(a^{2} x^{2} - 1\right)} \operatorname{arcosh}\left(a x\right)}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*x^3/((a^2*x^2 - 1)*arccosh(a*x)), x)","F",0
294,0,0,0,0.959777," ","integrate(x^2/arccosh(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} x^{2}}{{\left(a^{2} x^{2} - 1\right)} \operatorname{arcosh}\left(a x\right)}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*x^2/((a^2*x^2 - 1)*arccosh(a*x)), x)","F",0
295,0,0,0,0.406774," ","integrate(x/arccosh(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1} x}{{\left(a^{2} x^{2} - 1\right)} \operatorname{arcosh}\left(a x\right)}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)*x/((a^2*x^2 - 1)*arccosh(a*x)), x)","F",0
296,1,55,0,0.560632," ","integrate(1/arccosh(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{a^{2} x^{2} - 1} \sqrt{-a^{2} x^{2} + 1} \log\left(\log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)\right)}{a^{3} x^{2} - a}"," ",0,"-sqrt(a^2*x^2 - 1)*sqrt(-a^2*x^2 + 1)*log(log(a*x + sqrt(a^2*x^2 - 1)))/(a^3*x^2 - a)","B",0
297,0,0,0,0.699381," ","integrate(1/x/arccosh(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1}}{{\left(a^{2} x^{3} - x\right)} \operatorname{arcosh}\left(a x\right)}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)/((a^2*x^3 - x)*arccosh(a*x)), x)","F",0
298,0,0,0,0.495071," ","integrate(1/x^2/arccosh(a*x)/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-a^{2} x^{2} + 1}}{{\left(a^{2} x^{4} - x^{2}\right)} \operatorname{arcosh}\left(a x\right)}, x\right)"," ",0,"integral(-sqrt(-a^2*x^2 + 1)/((a^2*x^4 - x^2)*arccosh(a*x)), x)","F",0
299,0,0,0,0.664445," ","integrate(x^3/(a+b*arccosh(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} x^{3}}{a c^{2} x^{2} + {\left(b c^{2} x^{2} - b\right)} \operatorname{arcosh}\left(c x\right) - a}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*x^3/(a*c^2*x^2 + (b*c^2*x^2 - b)*arccosh(c*x) - a), x)","F",0
300,0,0,0,1.254719," ","integrate(x^2/(a+b*arccosh(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} x^{2}}{a c^{2} x^{2} + {\left(b c^{2} x^{2} - b\right)} \operatorname{arcosh}\left(c x\right) - a}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*x^2/(a*c^2*x^2 + (b*c^2*x^2 - b)*arccosh(c*x) - a), x)","F",0
301,0,0,0,0.521730," ","integrate(x/(a+b*arccosh(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} x}{a c^{2} x^{2} + {\left(b c^{2} x^{2} - b\right)} \operatorname{arcosh}\left(c x\right) - a}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*x/(a*c^2*x^2 + (b*c^2*x^2 - b)*arccosh(c*x) - a), x)","F",0
302,1,65,0,0.487361," ","integrate(1/(a+b*arccosh(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{c^{2} x^{2} - 1} \sqrt{-c^{2} x^{2} + 1} \log\left(\frac{b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + a}{b}\right)}{b c^{3} x^{2} - b c}"," ",0,"-sqrt(c^2*x^2 - 1)*sqrt(-c^2*x^2 + 1)*log((b*log(c*x + sqrt(c^2*x^2 - 1)) + a)/b)/(b*c^3*x^2 - b*c)","B",0
303,0,0,0,0.709944," ","integrate(1/x/(a+b*arccosh(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1}}{a c^{2} x^{3} - a x + {\left(b c^{2} x^{3} - b x\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)/(a*c^2*x^3 - a*x + (b*c^2*x^3 - b*x)*arccosh(c*x)), x)","F",0
304,0,0,0,0.482788," ","integrate(1/x^2/(a+b*arccosh(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1}}{a c^{2} x^{4} - a x^{2} + {\left(b c^{2} x^{4} - b x^{2}\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)/(a*c^2*x^4 - a*x^2 + (b*c^2*x^4 - b*x^2)*arccosh(c*x)), x)","F",0
305,0,0,0,0.782938," ","integrate(x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{2}}{a c^{4} x^{4} - 2 \, a c^{2} x^{2} + {\left(b c^{4} x^{4} - 2 \, b c^{2} x^{2} + b\right)} \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*x^2/(a*c^4*x^4 - 2*a*c^2*x^2 + (b*c^4*x^4 - 2*b*c^2*x^2 + b)*arccosh(c*x) + a), x)","F",0
306,0,0,0,0.798943," ","integrate(x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} x}{a c^{4} x^{4} - 2 \, a c^{2} x^{2} + {\left(b c^{4} x^{4} - 2 \, b c^{2} x^{2} + b\right)} \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*x/(a*c^4*x^4 - 2*a*c^2*x^2 + (b*c^4*x^4 - 2*b*c^2*x^2 + b)*arccosh(c*x) + a), x)","F",0
307,0,0,0,0.666014," ","integrate(1/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{a c^{4} x^{4} - 2 \, a c^{2} x^{2} + {\left(b c^{4} x^{4} - 2 \, b c^{2} x^{2} + b\right)} \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(a*c^4*x^4 - 2*a*c^2*x^2 + (b*c^4*x^4 - 2*b*c^2*x^2 + b)*arccosh(c*x) + a), x)","F",0
308,0,0,0,0.454629," ","integrate(1/x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{a c^{4} x^{5} - 2 \, a c^{2} x^{3} + a x + {\left(b c^{4} x^{5} - 2 \, b c^{2} x^{3} + b x\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(a*c^4*x^5 - 2*a*c^2*x^3 + a*x + (b*c^4*x^5 - 2*b*c^2*x^3 + b*x)*arccosh(c*x)), x)","F",0
309,0,0,0,0.549559," ","integrate(1/x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{a c^{4} x^{6} - 2 \, a c^{2} x^{4} + a x^{2} + {\left(b c^{4} x^{6} - 2 \, b c^{2} x^{4} + b x^{2}\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(a*c^4*x^6 - 2*a*c^2*x^4 + a*x^2 + (b*c^4*x^6 - 2*b*c^2*x^4 + b*x^2)*arccosh(c*x)), x)","F",0
310,0,0,0,0.637979," ","integrate(x^m*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(c^{2} x^{2} - 1\right)} \sqrt{-c^{2} x^{2} + 1} x^{m}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(-(c^2*x^2 - 1)*sqrt(-c^2*x^2 + 1)*x^m/(b*arccosh(c*x) + a), x)","F",0
311,0,0,0,0.492812," ","integrate(x^m*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{m}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*x^m/(b*arccosh(c*x) + a), x)","F",0
312,0,0,0,0.772420," ","integrate(x^m/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} x^{m}}{a c^{2} x^{2} + {\left(b c^{2} x^{2} - b\right)} \operatorname{arcosh}\left(c x\right) - a}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*x^m/(a*c^2*x^2 + (b*c^2*x^2 - b)*arccosh(c*x) - a), x)","F",0
313,0,0,0,0.512890," ","integrate(x^m/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{m}}{a c^{4} x^{4} - 2 \, a c^{2} x^{2} + {\left(b c^{4} x^{4} - 2 \, b c^{2} x^{2} + b\right)} \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*x^m/(a*c^4*x^4 - 2*a*c^2*x^2 + (b*c^4*x^4 - 2*b*c^2*x^2 + b)*arccosh(c*x) + a), x)","F",0
314,0,0,0,0.683181," ","integrate(x^m/(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} x^{m}}{a c^{6} x^{6} - 3 \, a c^{4} x^{4} + 3 \, a c^{2} x^{2} + {\left(b c^{6} x^{6} - 3 \, b c^{4} x^{4} + 3 \, b c^{2} x^{2} - b\right)} \operatorname{arcosh}\left(c x\right) - a}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*x^m/(a*c^6*x^6 - 3*a*c^4*x^4 + 3*a*c^2*x^2 + (b*c^6*x^6 - 3*b*c^4*x^4 + 3*b*c^2*x^2 - b)*arccosh(c*x) - a), x)","F",0
315,0,0,0,0.625276," ","integrate((-a^2*c*x^2+c)^3/arccosh(a*x)^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{a^{6} c^{3} x^{6} - 3 \, a^{4} c^{3} x^{4} + 3 \, a^{2} c^{3} x^{2} - c^{3}}{\operatorname{arcosh}\left(a x\right)^{2}}, x\right)"," ",0,"integral(-(a^6*c^3*x^6 - 3*a^4*c^3*x^4 + 3*a^2*c^3*x^2 - c^3)/arccosh(a*x)^2, x)","F",0
316,0,0,0,0.463474," ","integrate((-a^2*c*x^2+c)^2/arccosh(a*x)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{4} c^{2} x^{4} - 2 \, a^{2} c^{2} x^{2} + c^{2}}{\operatorname{arcosh}\left(a x\right)^{2}}, x\right)"," ",0,"integral((a^4*c^2*x^4 - 2*a^2*c^2*x^2 + c^2)/arccosh(a*x)^2, x)","F",0
317,0,0,0,0.650240," ","integrate((-a^2*c*x^2+c)/arccosh(a*x)^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{a^{2} c x^{2} - c}{\operatorname{arcosh}\left(a x\right)^{2}}, x\right)"," ",0,"integral(-(a^2*c*x^2 - c)/arccosh(a*x)^2, x)","F",0
318,0,0,0,0.559799," ","integrate(1/(-a^2*c*x^2+c)/arccosh(a*x)^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{{\left(a^{2} c x^{2} - c\right)} \operatorname{arcosh}\left(a x\right)^{2}}, x\right)"," ",0,"integral(-1/((a^2*c*x^2 - c)*arccosh(a*x)^2), x)","F",0
319,0,0,0,0.554562," ","integrate(1/(-a^2*c*x^2+c)^2/arccosh(a*x)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(a^{4} c^{2} x^{4} - 2 \, a^{2} c^{2} x^{2} + c^{2}\right)} \operatorname{arcosh}\left(a x\right)^{2}}, x\right)"," ",0,"integral(1/((a^4*c^2*x^4 - 2*a^2*c^2*x^2 + c^2)*arccosh(a*x)^2), x)","F",0
320,0,0,0,0.566371," ","integrate(x^3*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{3}}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*x^3/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
321,0,0,0,0.556838," ","integrate(x^2*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{2}}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*x^2/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
322,0,0,0,0.663719," ","integrate(x*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} x}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*x/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
323,0,0,0,0.581966," ","integrate((-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
324,0,0,0,0.520315," ","integrate((-c^2*x^2+1)^(1/2)/x/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{b^{2} x \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x \operatorname{arcosh}\left(c x\right) + a^{2} x}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(b^2*x*arccosh(c*x)^2 + 2*a*b*x*arccosh(c*x) + a^2*x), x)","F",0
325,0,0,0,0.618851," ","integrate((-c^2*x^2+1)^(1/2)/x^2/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{b^{2} x^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arcosh}\left(c x\right) + a^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(b^2*x^2*arccosh(c*x)^2 + 2*a*b*x^2*arccosh(c*x) + a^2*x^2), x)","F",0
326,0,0,0,0.603240," ","integrate((-c^2*x^2+1)^(1/2)/x^3/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{b^{2} x^{3} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{3} \operatorname{arcosh}\left(c x\right) + a^{2} x^{3}}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(b^2*x^3*arccosh(c*x)^2 + 2*a*b*x^3*arccosh(c*x) + a^2*x^3), x)","F",0
327,0,0,0,0.512331," ","integrate((-c^2*x^2+1)^(1/2)/x^4/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{b^{2} x^{4} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{4} \operatorname{arcosh}\left(c x\right) + a^{2} x^{4}}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(b^2*x^4*arccosh(c*x)^2 + 2*a*b*x^4*arccosh(c*x) + a^2*x^4), x)","F",0
328,0,0,0,0.499284," ","integrate(x^2*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(c^{2} x^{4} - x^{2}\right)} \sqrt{-c^{2} x^{2} + 1}}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(-(c^2*x^4 - x^2)*sqrt(-c^2*x^2 + 1)/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
329,0,0,0,0.608639," ","integrate(x*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(c^{2} x^{3} - x\right)} \sqrt{-c^{2} x^{2} + 1}}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(-(c^2*x^3 - x)*sqrt(-c^2*x^2 + 1)/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
330,0,0,0,0.623440," ","integrate((-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((-c^2*x^2 + 1)^(3/2)/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
331,0,0,0,0.577508," ","integrate((-c^2*x^2+1)^(3/2)/x/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b^{2} x \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x \operatorname{arcosh}\left(c x\right) + a^{2} x}, x\right)"," ",0,"integral((-c^2*x^2 + 1)^(3/2)/(b^2*x*arccosh(c*x)^2 + 2*a*b*x*arccosh(c*x) + a^2*x), x)","F",0
332,0,0,0,0.653630," ","integrate((-c^2*x^2+1)^(3/2)/x^2/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b^{2} x^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arcosh}\left(c x\right) + a^{2} x^{2}}, x\right)"," ",0,"integral((-c^2*x^2 + 1)^(3/2)/(b^2*x^2*arccosh(c*x)^2 + 2*a*b*x^2*arccosh(c*x) + a^2*x^2), x)","F",0
333,0,0,0,0.620108," ","integrate((-c^2*x^2+1)^(3/2)/x^3/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b^{2} x^{3} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{3} \operatorname{arcosh}\left(c x\right) + a^{2} x^{3}}, x\right)"," ",0,"integral((-c^2*x^2 + 1)^(3/2)/(b^2*x^3*arccosh(c*x)^2 + 2*a*b*x^3*arccosh(c*x) + a^2*x^3), x)","F",0
334,0,0,0,1.014526," ","integrate((-c^2*x^2+1)^(3/2)/x^4/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b^{2} x^{4} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{4} \operatorname{arcosh}\left(c x\right) + a^{2} x^{4}}, x\right)"," ",0,"integral((-c^2*x^2 + 1)^(3/2)/(b^2*x^4*arccosh(c*x)^2 + 2*a*b*x^4*arccosh(c*x) + a^2*x^4), x)","F",0
335,0,0,0,0.548659," ","integrate(x^2*(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} x^{6} - 2 \, c^{2} x^{4} + x^{2}\right)} \sqrt{-c^{2} x^{2} + 1}}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((c^4*x^6 - 2*c^2*x^4 + x^2)*sqrt(-c^2*x^2 + 1)/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
336,0,0,0,0.484655," ","integrate(x*(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} x^{5} - 2 \, c^{2} x^{3} + x\right)} \sqrt{-c^{2} x^{2} + 1}}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((c^4*x^5 - 2*c^2*x^3 + x)*sqrt(-c^2*x^2 + 1)/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
337,0,0,0,0.592330," ","integrate((-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} x^{4} - 2 \, c^{2} x^{2} + 1\right)} \sqrt{-c^{2} x^{2} + 1}}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((c^4*x^4 - 2*c^2*x^2 + 1)*sqrt(-c^2*x^2 + 1)/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
338,0,0,0,0.494543," ","integrate((-c^2*x^2+1)^(5/2)/x/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} x^{4} - 2 \, c^{2} x^{2} + 1\right)} \sqrt{-c^{2} x^{2} + 1}}{b^{2} x \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x \operatorname{arcosh}\left(c x\right) + a^{2} x}, x\right)"," ",0,"integral((c^4*x^4 - 2*c^2*x^2 + 1)*sqrt(-c^2*x^2 + 1)/(b^2*x*arccosh(c*x)^2 + 2*a*b*x*arccosh(c*x) + a^2*x), x)","F",0
339,0,0,0,0.584759," ","integrate((-c^2*x^2+1)^(5/2)/x^2/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} x^{4} - 2 \, c^{2} x^{2} + 1\right)} \sqrt{-c^{2} x^{2} + 1}}{b^{2} x^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arcosh}\left(c x\right) + a^{2} x^{2}}, x\right)"," ",0,"integral((c^4*x^4 - 2*c^2*x^2 + 1)*sqrt(-c^2*x^2 + 1)/(b^2*x^2*arccosh(c*x)^2 + 2*a*b*x^2*arccosh(c*x) + a^2*x^2), x)","F",0
340,0,0,0,0.979792," ","integrate((-c^2*x^2+1)^(5/2)/x^3/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} x^{4} - 2 \, c^{2} x^{2} + 1\right)} \sqrt{-c^{2} x^{2} + 1}}{b^{2} x^{3} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{3} \operatorname{arcosh}\left(c x\right) + a^{2} x^{3}}, x\right)"," ",0,"integral((c^4*x^4 - 2*c^2*x^2 + 1)*sqrt(-c^2*x^2 + 1)/(b^2*x^3*arccosh(c*x)^2 + 2*a*b*x^3*arccosh(c*x) + a^2*x^3), x)","F",0
341,0,0,0,0.542231," ","integrate((-c^2*x^2+1)^(5/2)/x^4/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} x^{4} - 2 \, c^{2} x^{2} + 1\right)} \sqrt{-c^{2} x^{2} + 1}}{b^{2} x^{4} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b x^{4} \operatorname{arcosh}\left(c x\right) + a^{2} x^{4}}, x\right)"," ",0,"integral((c^4*x^4 - 2*c^2*x^2 + 1)*sqrt(-c^2*x^2 + 1)/(b^2*x^4*arccosh(c*x)^2 + 2*a*b*x^4*arccosh(c*x) + a^2*x^4), x)","F",0
342,0,0,0,0.676020," ","integrate(x^5/(a+b*arccosh(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} x^{5}}{a^{2} c^{2} x^{2} + {\left(b^{2} c^{2} x^{2} - b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} - a^{2} + 2 \, {\left(a b c^{2} x^{2} - a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*x^5/(a^2*c^2*x^2 + (b^2*c^2*x^2 - b^2)*arccosh(c*x)^2 - a^2 + 2*(a*b*c^2*x^2 - a*b)*arccosh(c*x)), x)","F",0
343,0,0,0,0.561754," ","integrate(x^4/(a+b*arccosh(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} x^{4}}{a^{2} c^{2} x^{2} + {\left(b^{2} c^{2} x^{2} - b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} - a^{2} + 2 \, {\left(a b c^{2} x^{2} - a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*x^4/(a^2*c^2*x^2 + (b^2*c^2*x^2 - b^2)*arccosh(c*x)^2 - a^2 + 2*(a*b*c^2*x^2 - a*b)*arccosh(c*x)), x)","F",0
344,0,0,0,0.586481," ","integrate(x^3/(a+b*arccosh(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} x^{3}}{a^{2} c^{2} x^{2} + {\left(b^{2} c^{2} x^{2} - b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} - a^{2} + 2 \, {\left(a b c^{2} x^{2} - a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*x^3/(a^2*c^2*x^2 + (b^2*c^2*x^2 - b^2)*arccosh(c*x)^2 - a^2 + 2*(a*b*c^2*x^2 - a*b)*arccosh(c*x)), x)","F",0
345,0,0,0,0.680512," ","integrate(x^2/(a+b*arccosh(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} x^{2}}{a^{2} c^{2} x^{2} + {\left(b^{2} c^{2} x^{2} - b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} - a^{2} + 2 \, {\left(a b c^{2} x^{2} - a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*x^2/(a^2*c^2*x^2 + (b^2*c^2*x^2 - b^2)*arccosh(c*x)^2 - a^2 + 2*(a*b*c^2*x^2 - a*b)*arccosh(c*x)), x)","F",0
346,0,0,0,0.467152," ","integrate(x/(a+b*arccosh(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} x}{a^{2} c^{2} x^{2} + {\left(b^{2} c^{2} x^{2} - b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} - a^{2} + 2 \, {\left(a b c^{2} x^{2} - a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*x/(a^2*c^2*x^2 + (b^2*c^2*x^2 - b^2)*arccosh(c*x)^2 - a^2 + 2*(a*b*c^2*x^2 - a*b)*arccosh(c*x)), x)","F",0
347,1,75,0,0.607750," ","integrate(1/(a+b*arccosh(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{c^{2} x^{2} - 1} \sqrt{-c^{2} x^{2} + 1}}{a b c^{3} x^{2} - a b c + {\left(b^{2} c^{3} x^{2} - b^{2} c\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)}"," ",0,"sqrt(c^2*x^2 - 1)*sqrt(-c^2*x^2 + 1)/(a*b*c^3*x^2 - a*b*c + (b^2*c^3*x^2 - b^2*c)*log(c*x + sqrt(c^2*x^2 - 1)))","B",0
348,0,0,0,0.815462," ","integrate(1/x/(a+b*arccosh(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1}}{a^{2} c^{2} x^{3} - a^{2} x + {\left(b^{2} c^{2} x^{3} - b^{2} x\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} x^{3} - a b x\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)/(a^2*c^2*x^3 - a^2*x + (b^2*c^2*x^3 - b^2*x)*arccosh(c*x)^2 + 2*(a*b*c^2*x^3 - a*b*x)*arccosh(c*x)), x)","F",0
349,0,0,0,0.725874," ","integrate(1/x^2/(a+b*arccosh(c*x))^2/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1}}{a^{2} c^{2} x^{4} - a^{2} x^{2} + {\left(b^{2} c^{2} x^{4} - b^{2} x^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} x^{4} - a b x^{2}\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)/(a^2*c^2*x^4 - a^2*x^2 + (b^2*c^2*x^4 - b^2*x^2)*arccosh(c*x)^2 + 2*(a*b*c^2*x^4 - a*b*x^2)*arccosh(c*x)), x)","F",0
350,0,0,0,0.730315," ","integrate(x^3/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{3}}{a^{2} c^{4} x^{4} - 2 \, a^{2} c^{2} x^{2} + {\left(b^{2} c^{4} x^{4} - 2 \, b^{2} c^{2} x^{2} + b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + a^{2} + 2 \, {\left(a b c^{4} x^{4} - 2 \, a b c^{2} x^{2} + a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*x^3/(a^2*c^4*x^4 - 2*a^2*c^2*x^2 + (b^2*c^4*x^4 - 2*b^2*c^2*x^2 + b^2)*arccosh(c*x)^2 + a^2 + 2*(a*b*c^4*x^4 - 2*a*b*c^2*x^2 + a*b)*arccosh(c*x)), x)","F",0
351,0,0,0,0.522543," ","integrate(x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} x^{2}}{a^{2} c^{4} x^{4} - 2 \, a^{2} c^{2} x^{2} + {\left(b^{2} c^{4} x^{4} - 2 \, b^{2} c^{2} x^{2} + b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + a^{2} + 2 \, {\left(a b c^{4} x^{4} - 2 \, a b c^{2} x^{2} + a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*x^2/(a^2*c^4*x^4 - 2*a^2*c^2*x^2 + (b^2*c^4*x^4 - 2*b^2*c^2*x^2 + b^2)*arccosh(c*x)^2 + a^2 + 2*(a*b*c^4*x^4 - 2*a*b*c^2*x^2 + a*b)*arccosh(c*x)), x)","F",0
352,0,0,0,0.504479," ","integrate(x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} x}{a^{2} c^{4} x^{4} - 2 \, a^{2} c^{2} x^{2} + {\left(b^{2} c^{4} x^{4} - 2 \, b^{2} c^{2} x^{2} + b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + a^{2} + 2 \, {\left(a b c^{4} x^{4} - 2 \, a b c^{2} x^{2} + a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*x/(a^2*c^4*x^4 - 2*a^2*c^2*x^2 + (b^2*c^4*x^4 - 2*b^2*c^2*x^2 + b^2)*arccosh(c*x)^2 + a^2 + 2*(a*b*c^4*x^4 - 2*a*b*c^2*x^2 + a*b)*arccosh(c*x)), x)","F",0
353,0,0,0,0.668053," ","integrate(1/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{a^{2} c^{4} x^{4} - 2 \, a^{2} c^{2} x^{2} + {\left(b^{2} c^{4} x^{4} - 2 \, b^{2} c^{2} x^{2} + b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + a^{2} + 2 \, {\left(a b c^{4} x^{4} - 2 \, a b c^{2} x^{2} + a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(a^2*c^4*x^4 - 2*a^2*c^2*x^2 + (b^2*c^4*x^4 - 2*b^2*c^2*x^2 + b^2)*arccosh(c*x)^2 + a^2 + 2*(a*b*c^4*x^4 - 2*a*b*c^2*x^2 + a*b)*arccosh(c*x)), x)","F",0
354,0,0,0,0.477877," ","integrate(1/x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{a^{2} c^{4} x^{5} - 2 \, a^{2} c^{2} x^{3} + a^{2} x + {\left(b^{2} c^{4} x^{5} - 2 \, b^{2} c^{2} x^{3} + b^{2} x\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{4} x^{5} - 2 \, a b c^{2} x^{3} + a b x\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(a^2*c^4*x^5 - 2*a^2*c^2*x^3 + a^2*x + (b^2*c^4*x^5 - 2*b^2*c^2*x^3 + b^2*x)*arccosh(c*x)^2 + 2*(a*b*c^4*x^5 - 2*a*b*c^2*x^3 + a*b*x)*arccosh(c*x)), x)","F",0
355,0,0,0,0.546021," ","integrate(1/x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1}}{a^{2} c^{4} x^{6} - 2 \, a^{2} c^{2} x^{4} + a^{2} x^{2} + {\left(b^{2} c^{4} x^{6} - 2 \, b^{2} c^{2} x^{4} + b^{2} x^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{4} x^{6} - 2 \, a b c^{2} x^{4} + a b x^{2}\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)/(a^2*c^4*x^6 - 2*a^2*c^2*x^4 + a^2*x^2 + (b^2*c^4*x^6 - 2*b^2*c^2*x^4 + b^2*x^2)*arccosh(c*x)^2 + 2*(a*b*c^4*x^6 - 2*a*b*c^2*x^4 + a*b*x^2)*arccosh(c*x)), x)","F",0
356,0,0,0,0.975474," ","integrate(x^4/(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} x^{4}}{a^{2} c^{6} x^{6} - 3 \, a^{2} c^{4} x^{4} + 3 \, a^{2} c^{2} x^{2} + {\left(b^{2} c^{6} x^{6} - 3 \, b^{2} c^{4} x^{4} + 3 \, b^{2} c^{2} x^{2} - b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} - a^{2} + 2 \, {\left(a b c^{6} x^{6} - 3 \, a b c^{4} x^{4} + 3 \, a b c^{2} x^{2} - a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*x^4/(a^2*c^6*x^6 - 3*a^2*c^4*x^4 + 3*a^2*c^2*x^2 + (b^2*c^6*x^6 - 3*b^2*c^4*x^4 + 3*b^2*c^2*x^2 - b^2)*arccosh(c*x)^2 - a^2 + 2*(a*b*c^6*x^6 - 3*a*b*c^4*x^4 + 3*a*b*c^2*x^2 - a*b)*arccosh(c*x)), x)","F",0
357,0,0,0,0.459944," ","integrate(x^3/(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} x^{3}}{a^{2} c^{6} x^{6} - 3 \, a^{2} c^{4} x^{4} + 3 \, a^{2} c^{2} x^{2} + {\left(b^{2} c^{6} x^{6} - 3 \, b^{2} c^{4} x^{4} + 3 \, b^{2} c^{2} x^{2} - b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} - a^{2} + 2 \, {\left(a b c^{6} x^{6} - 3 \, a b c^{4} x^{4} + 3 \, a b c^{2} x^{2} - a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*x^3/(a^2*c^6*x^6 - 3*a^2*c^4*x^4 + 3*a^2*c^2*x^2 + (b^2*c^6*x^6 - 3*b^2*c^4*x^4 + 3*b^2*c^2*x^2 - b^2)*arccosh(c*x)^2 - a^2 + 2*(a*b*c^6*x^6 - 3*a*b*c^4*x^4 + 3*a*b*c^2*x^2 - a*b)*arccosh(c*x)), x)","F",0
358,0,0,0,0.438320," ","integrate(x^2/(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} x^{2}}{a^{2} c^{6} x^{6} - 3 \, a^{2} c^{4} x^{4} + 3 \, a^{2} c^{2} x^{2} + {\left(b^{2} c^{6} x^{6} - 3 \, b^{2} c^{4} x^{4} + 3 \, b^{2} c^{2} x^{2} - b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} - a^{2} + 2 \, {\left(a b c^{6} x^{6} - 3 \, a b c^{4} x^{4} + 3 \, a b c^{2} x^{2} - a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*x^2/(a^2*c^6*x^6 - 3*a^2*c^4*x^4 + 3*a^2*c^2*x^2 + (b^2*c^6*x^6 - 3*b^2*c^4*x^4 + 3*b^2*c^2*x^2 - b^2)*arccosh(c*x)^2 - a^2 + 2*(a*b*c^6*x^6 - 3*a*b*c^4*x^4 + 3*a*b*c^2*x^2 - a*b)*arccosh(c*x)), x)","F",0
359,0,0,0,0.760876," ","integrate(x/(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} x}{a^{2} c^{6} x^{6} - 3 \, a^{2} c^{4} x^{4} + 3 \, a^{2} c^{2} x^{2} + {\left(b^{2} c^{6} x^{6} - 3 \, b^{2} c^{4} x^{4} + 3 \, b^{2} c^{2} x^{2} - b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} - a^{2} + 2 \, {\left(a b c^{6} x^{6} - 3 \, a b c^{4} x^{4} + 3 \, a b c^{2} x^{2} - a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*x/(a^2*c^6*x^6 - 3*a^2*c^4*x^4 + 3*a^2*c^2*x^2 + (b^2*c^6*x^6 - 3*b^2*c^4*x^4 + 3*b^2*c^2*x^2 - b^2)*arccosh(c*x)^2 - a^2 + 2*(a*b*c^6*x^6 - 3*a*b*c^4*x^4 + 3*a*b*c^2*x^2 - a*b)*arccosh(c*x)), x)","F",0
360,0,0,0,0.562163," ","integrate(1/(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1}}{a^{2} c^{6} x^{6} - 3 \, a^{2} c^{4} x^{4} + 3 \, a^{2} c^{2} x^{2} + {\left(b^{2} c^{6} x^{6} - 3 \, b^{2} c^{4} x^{4} + 3 \, b^{2} c^{2} x^{2} - b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} - a^{2} + 2 \, {\left(a b c^{6} x^{6} - 3 \, a b c^{4} x^{4} + 3 \, a b c^{2} x^{2} - a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)/(a^2*c^6*x^6 - 3*a^2*c^4*x^4 + 3*a^2*c^2*x^2 + (b^2*c^6*x^6 - 3*b^2*c^4*x^4 + 3*b^2*c^2*x^2 - b^2)*arccosh(c*x)^2 - a^2 + 2*(a*b*c^6*x^6 - 3*a*b*c^4*x^4 + 3*a*b*c^2*x^2 - a*b)*arccosh(c*x)), x)","F",0
361,0,0,0,0.598441," ","integrate(1/x/(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1}}{a^{2} c^{6} x^{7} - 3 \, a^{2} c^{4} x^{5} + 3 \, a^{2} c^{2} x^{3} - a^{2} x + {\left(b^{2} c^{6} x^{7} - 3 \, b^{2} c^{4} x^{5} + 3 \, b^{2} c^{2} x^{3} - b^{2} x\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{6} x^{7} - 3 \, a b c^{4} x^{5} + 3 \, a b c^{2} x^{3} - a b x\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)/(a^2*c^6*x^7 - 3*a^2*c^4*x^5 + 3*a^2*c^2*x^3 - a^2*x + (b^2*c^6*x^7 - 3*b^2*c^4*x^5 + 3*b^2*c^2*x^3 - b^2*x)*arccosh(c*x)^2 + 2*(a*b*c^6*x^7 - 3*a*b*c^4*x^5 + 3*a*b*c^2*x^3 - a*b*x)*arccosh(c*x)), x)","F",0
362,0,0,0,0.569651," ","integrate(1/x^2/(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1}}{a^{2} c^{6} x^{8} - 3 \, a^{2} c^{4} x^{6} + 3 \, a^{2} c^{2} x^{4} - a^{2} x^{2} + {\left(b^{2} c^{6} x^{8} - 3 \, b^{2} c^{4} x^{6} + 3 \, b^{2} c^{2} x^{4} - b^{2} x^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b c^{6} x^{8} - 3 \, a b c^{4} x^{6} + 3 \, a b c^{2} x^{4} - a b x^{2}\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)/(a^2*c^6*x^8 - 3*a^2*c^4*x^6 + 3*a^2*c^2*x^4 - a^2*x^2 + (b^2*c^6*x^8 - 3*b^2*c^4*x^6 + 3*b^2*c^2*x^4 - b^2*x^2)*arccosh(c*x)^2 + 2*(a*b*c^6*x^8 - 3*a*b*c^4*x^6 + 3*a*b*c^2*x^4 - a*b*x^2)*arccosh(c*x)), x)","F",0
363,0,0,0,0.589899," ","integrate((f*x)^m*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(c^{2} x^{2} - 1\right)} \sqrt{-c^{2} x^{2} + 1} \left(f x\right)^{m}}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(-(c^2*x^2 - 1)*sqrt(-c^2*x^2 + 1)*(f*x)^m/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
364,0,0,0,0.511311," ","integrate((f*x)^m*(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} \left(f x\right)^{m}}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*(f*x)^m/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
365,0,0,0,0.663263," ","integrate((f*x)^m/(-c^2*x^2+1)^(1/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} \left(f x\right)^{m}}{a^{2} c^{2} x^{2} + {\left(b^{2} c^{2} x^{2} - b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} - a^{2} + 2 \, {\left(a b c^{2} x^{2} - a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(f*x)^m/(a^2*c^2*x^2 + (b^2*c^2*x^2 - b^2)*arccosh(c*x)^2 - a^2 + 2*(a*b*c^2*x^2 - a*b)*arccosh(c*x)), x)","F",0
366,0,0,0,0.502702," ","integrate((f*x)^m/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} x^{2} + 1} \left(f x\right)^{m}}{a^{2} c^{4} x^{4} - 2 \, a^{2} c^{2} x^{2} + {\left(b^{2} c^{4} x^{4} - 2 \, b^{2} c^{2} x^{2} + b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + a^{2} + 2 \, {\left(a b c^{4} x^{4} - 2 \, a b c^{2} x^{2} + a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(-c^2*x^2 + 1)*(f*x)^m/(a^2*c^4*x^4 - 2*a^2*c^2*x^2 + (b^2*c^4*x^4 - 2*b^2*c^2*x^2 + b^2)*arccosh(c*x)^2 + a^2 + 2*(a*b*c^4*x^4 - 2*a*b*c^2*x^2 + a*b)*arccosh(c*x)), x)","F",0
367,0,0,0,0.807619," ","integrate((f*x)^m/(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} \left(f x\right)^{m}}{a^{2} c^{6} x^{6} - 3 \, a^{2} c^{4} x^{4} + 3 \, a^{2} c^{2} x^{2} + {\left(b^{2} c^{6} x^{6} - 3 \, b^{2} c^{4} x^{4} + 3 \, b^{2} c^{2} x^{2} - b^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} - a^{2} + 2 \, {\left(a b c^{6} x^{6} - 3 \, a b c^{4} x^{4} + 3 \, a b c^{2} x^{2} - a b\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(f*x)^m/(a^2*c^6*x^6 - 3*a^2*c^4*x^4 + 3*a^2*c^2*x^2 + (b^2*c^6*x^6 - 3*b^2*c^4*x^4 + 3*b^2*c^2*x^2 - b^2)*arccosh(c*x)^2 - a^2 + 2*(a*b*c^6*x^6 - 3*a*b*c^4*x^4 + 3*a*b*c^2*x^2 - a*b)*arccosh(c*x)), x)","F",0
368,1,56,0,0.602151," ","integrate(1/arccosh(a*x)^3/(-a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{a^{2} x^{2} - 1} \sqrt{-a^{2} x^{2} + 1}}{2 \, {\left(a^{3} x^{2} - a\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{2}}"," ",0,"1/2*sqrt(a^2*x^2 - 1)*sqrt(-a^2*x^2 + 1)/((a^3*x^2 - a)*log(a*x + sqrt(a^2*x^2 - 1))^2)","B",0
369,-2,0,0,0.000000," ","integrate(x^3*(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
370,-2,0,0,0.000000," ","integrate(x^2*(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
371,-2,0,0,0.000000," ","integrate(x*(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
372,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
373,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)/x/(a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
374,-2,0,0,0.000000," ","integrate(x^3*(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
375,-2,0,0,0.000000," ","integrate(x^2*(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
376,-2,0,0,0.000000," ","integrate(x*(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
377,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
378,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^2/x/(a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
379,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(3/2)*arccosh(a*x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
380,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(1/2)*arccosh(a*x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
381,-2,0,0,0.000000," ","integrate(arccosh(a*x)^(1/2)/(-a^2*c*x^2+c)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
382,-2,0,0,0.000000," ","integrate(arccosh(a*x)^(1/2)/(-a^2*c*x^2+c)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
383,-2,0,0,0.000000," ","integrate(arccosh(a*x)^(1/2)/(-a^2*c*x^2+c)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
384,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(3/2)*arccosh(a*x)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
385,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(1/2)*arccosh(a*x)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
386,-2,0,0,0.000000," ","integrate(arccosh(a*x)^(3/2)/(-a^2*c*x^2+c)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
387,-2,0,0,0.000000," ","integrate(arccosh(a*x)^(3/2)/(-a^2*c*x^2+c)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
388,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(3/2)*arccosh(a*x)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
389,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(1/2)*arccosh(a*x)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
390,-2,0,0,0.000000," ","integrate(arccosh(a*x)^(5/2)/(-a^2*c*x^2+c)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
391,-2,0,0,0.000000," ","integrate(arccosh(a*x)^(5/2)/(-a^2*c*x^2+c)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
392,-2,0,0,0.000000," ","integrate((a^2-x^2)^(3/2)*arccosh(x/a)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
393,-2,0,0,0.000000," ","integrate((a^2-x^2)^(1/2)*arccosh(x/a)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
394,-2,0,0,0.000000," ","integrate(arccosh(x/a)^(1/2)/(a^2-x^2)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
395,-2,0,0,0.000000," ","integrate(arccosh(x/a)^(1/2)/(a^2-x^2)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
396,-2,0,0,0.000000," ","integrate(arccosh(x/a)^(1/2)/(a^2-x^2)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
397,-2,0,0,0.000000," ","integrate((a^2-x^2)^(3/2)*arccosh(x/a)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
398,-2,0,0,0.000000," ","integrate(arccosh(x/a)^(3/2)*(a^2-x^2)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
399,-2,0,0,0.000000," ","integrate(arccosh(x/a)^(3/2)/(a^2-x^2)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
400,-2,0,0,0.000000," ","integrate(arccosh(x/a)^(3/2)/(a^2-x^2)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
401,-2,0,0,0.000000," ","integrate(x/(-x^2+1)^(1/2)/arccosh(x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
402,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
403,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
404,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
405,-2,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
406,-2,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
407,-2,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
408,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
409,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
410,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
411,1,59,0,0.495741," ","integrate(1/(-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(3/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{-a^{2} c x^{2} + c} \sqrt{a^{2} x^{2} - 1}}{{\left(a^{3} c x^{2} - a c\right)} \sqrt{\log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)}}"," ",0,"2*sqrt(-a^2*c*x^2 + c)*sqrt(a^2*x^2 - 1)/((a^3*c*x^2 - a*c)*sqrt(log(a*x + sqrt(a^2*x^2 - 1))))","A",0
412,-2,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
413,-2,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
414,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
415,-2,0,0,0.000000," ","integrate((-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
416,1,59,0,0.662071," ","integrate(1/(-a^2*c*x^2+c)^(1/2)/arccosh(a*x)^(5/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{-a^{2} c x^{2} + c} \sqrt{a^{2} x^{2} - 1}}{3 \, {\left(a^{3} c x^{2} - a c\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right)^{\frac{3}{2}}}"," ",0,"2/3*sqrt(-a^2*c*x^2 + c)*sqrt(a^2*x^2 - 1)/((a^3*c*x^2 - a*c)*log(a*x + sqrt(a^2*x^2 - 1))^(3/2))","A",0
417,-2,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
418,-2,0,0,0.000000," ","integrate(1/(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
419,0,0,0,0.506749," ","integrate(x^2*(a+b*arccosh(c*x))^n*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n} x^{2}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n*x^2, x)","F",0
420,0,0,0,0.806228," ","integrate(x*(a+b*arccosh(c*x))^n*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n} x, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n*x, x)","F",0
421,0,0,0,0.554225," ","integrate((a+b*arccosh(c*x))^n*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n, x)","F",0
422,0,0,0,0.535068," ","integrate((a+b*arccosh(c*x))^n*(-c^2*d*x^2+d)^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{x}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n/x, x)","F",0
423,0,0,0,0.494326," ","integrate((a+b*arccosh(c*x))^n*(-c^2*d*x^2+d)^(1/2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{x^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n/x^2, x)","F",0
424,0,0,0,0.620848," ","integrate(x^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n,x, algorithm=""fricas"")","{\rm integral}\left(-{\left(c^{2} d x^{4} - d x^{2}\right)} \sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}, x\right)"," ",0,"integral(-(c^2*d*x^4 - d*x^2)*sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n, x)","F",0
425,0,0,0,0.569712," ","integrate(x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n,x, algorithm=""fricas"")","{\rm integral}\left(-{\left(c^{2} d x^{3} - d x\right)} \sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}, x\right)"," ",0,"integral(-(c^2*d*x^3 - d*x)*sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n, x)","F",0
426,0,0,0,0.481924," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}, x\right)"," ",0,"integral((-c^2*d*x^2 + d)^(3/2)*(b*arccosh(c*x) + a)^n, x)","F",0
427,0,0,0,0.602680," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{x}, x\right)"," ",0,"integral((-c^2*d*x^2 + d)^(3/2)*(b*arccosh(c*x) + a)^n/x, x)","F",0
428,0,0,0,0.785050," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-c^{2} d x^{2} + d\right)}^{\frac{3}{2}} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{x^{2}}, x\right)"," ",0,"integral((-c^2*d*x^2 + d)^(3/2)*(b*arccosh(c*x) + a)^n/x^2, x)","F",0
429,0,0,0,0.663052," ","integrate(x^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(c^{4} d^{2} x^{6} - 2 \, c^{2} d^{2} x^{4} + d^{2} x^{2}\right)} \sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}, x\right)"," ",0,"integral((c^4*d^2*x^6 - 2*c^2*d^2*x^4 + d^2*x^2)*sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n, x)","F",0
430,0,0,0,0.571330," ","integrate(x*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(c^{4} d^{2} x^{5} - 2 \, c^{2} d^{2} x^{3} + d^{2} x\right)} \sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}, x\right)"," ",0,"integral((c^4*d^2*x^5 - 2*c^2*d^2*x^3 + d^2*x)*sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n, x)","F",0
431,0,0,0,0.694502," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}\right)} \sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}, x\right)"," ",0,"integral((c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2)*sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n, x)","F",0
432,0,0,0,0.705838," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}\right)} \sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{x}, x\right)"," ",0,"integral((c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2)*sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n/x, x)","F",0
433,0,0,0,0.619932," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}\right)} \sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{x^{2}}, x\right)"," ",0,"integral((c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2)*sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n/x^2, x)","F",0
434,0,0,0,0.639641," ","integrate(x^3*(a+b*arccosh(c*x))^n/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n} x^{3}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(b*arccosh(c*x) + a)^n*x^3/(c^2*x^2 - 1), x)","F",0
435,0,0,0,0.572249," ","integrate(x^2*(a+b*arccosh(c*x))^n/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n} x^{2}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(b*arccosh(c*x) + a)^n*x^2/(c^2*x^2 - 1), x)","F",0
436,0,0,0,0.640779," ","integrate(x*(a+b*arccosh(c*x))^n/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n} x}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(b*arccosh(c*x) + a)^n*x/(c^2*x^2 - 1), x)","F",0
437,1,213,0,0.547823," ","integrate((a+b*arccosh(c*x))^n/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{{\left(\sqrt{c^{2} x^{2} - 1} \sqrt{-c^{2} x^{2} + 1} b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + \sqrt{c^{2} x^{2} - 1} \sqrt{-c^{2} x^{2} + 1} a\right)} \cosh\left(n \log\left(b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + a\right)\right) + {\left(\sqrt{c^{2} x^{2} - 1} \sqrt{-c^{2} x^{2} + 1} b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + \sqrt{c^{2} x^{2} - 1} \sqrt{-c^{2} x^{2} + 1} a\right)} \sinh\left(n \log\left(b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + a\right)\right)}{b c n - {\left(b c^{3} n + b c^{3}\right)} x^{2} + b c}"," ",0,"((sqrt(c^2*x^2 - 1)*sqrt(-c^2*x^2 + 1)*b*log(c*x + sqrt(c^2*x^2 - 1)) + sqrt(c^2*x^2 - 1)*sqrt(-c^2*x^2 + 1)*a)*cosh(n*log(b*log(c*x + sqrt(c^2*x^2 - 1)) + a)) + (sqrt(c^2*x^2 - 1)*sqrt(-c^2*x^2 + 1)*b*log(c*x + sqrt(c^2*x^2 - 1)) + sqrt(c^2*x^2 - 1)*sqrt(-c^2*x^2 + 1)*a)*sinh(n*log(b*log(c*x + sqrt(c^2*x^2 - 1)) + a)))/(b*c*n - (b*c^3*n + b*c^3)*x^2 + b*c)","B",0
438,0,0,0,0.574442," ","integrate((a+b*arccosh(c*x))^n/x/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{c^{2} x^{3} - x}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(b*arccosh(c*x) + a)^n/(c^2*x^3 - x), x)","F",0
439,0,0,0,0.706802," ","integrate((a+b*arccosh(c*x))^n/x^2/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{c^{2} x^{4} - x^{2}}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(b*arccosh(c*x) + a)^n/(c^2*x^4 - x^2), x)","F",0
440,0,0,0,0.698275," ","integrate(x^3*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n} x^{3}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n*x^3/(c^2*d*x^2 - d), x)","F",0
441,0,0,0,1.231269," ","integrate(x^2*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n} x^{2}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n*x^2/(c^2*d*x^2 - d), x)","F",0
442,0,0,0,0.564169," ","integrate(x*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n} x}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n*x/(c^2*d*x^2 - d), x)","F",0
443,1,221,0,0.568885," ","integrate((a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","\frac{{\left(\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} a\right)} \cosh\left(n \log\left(b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + a\right)\right) + {\left(\sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + \sqrt{-c^{2} d x^{2} + d} \sqrt{c^{2} x^{2} - 1} a\right)} \sinh\left(n \log\left(b \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + a\right)\right)}{b c d n + b c d - {\left(b c^{3} d n + b c^{3} d\right)} x^{2}}"," ",0,"((sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*b*log(c*x + sqrt(c^2*x^2 - 1)) + sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*a)*cosh(n*log(b*log(c*x + sqrt(c^2*x^2 - 1)) + a)) + (sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*b*log(c*x + sqrt(c^2*x^2 - 1)) + sqrt(-c^2*d*x^2 + d)*sqrt(c^2*x^2 - 1)*a)*sinh(n*log(b*log(c*x + sqrt(c^2*x^2 - 1)) + a)))/(b*c*d*n + b*c*d - (b*c^3*d*n + b*c^3*d)*x^2)","B",0
444,0,0,0,0.959068," ","integrate((a+b*arccosh(c*x))^n/x/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{c^{2} d x^{3} - d x}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n/(c^2*d*x^3 - d*x), x)","F",0
445,0,0,0,0.580534," ","integrate((a+b*arccosh(c*x))^n/x^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{c^{2} d x^{4} - d x^{2}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n/(c^2*d*x^4 - d*x^2), x)","F",0
446,0,0,0,0.563928," ","integrate(x^2*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n} x^{2}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n*x^2/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
447,0,0,0,0.508189," ","integrate(x*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n} x}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n*x/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
448,0,0,0,0.674691," ","integrate((a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
449,0,0,0,0.541031," ","integrate((a+b*arccosh(c*x))^n/x/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{c^{4} d^{2} x^{5} - 2 \, c^{2} d^{2} x^{3} + d^{2} x}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n/(c^4*d^2*x^5 - 2*c^2*d^2*x^3 + d^2*x), x)","F",0
450,0,0,0,0.709397," ","integrate((a+b*arccosh(c*x))^n/x^2/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{c^{4} d^{2} x^{6} - 2 \, c^{2} d^{2} x^{4} + d^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)^n/(c^4*d^2*x^6 - 2*c^2*d^2*x^4 + d^2*x^2), x)","F",0
451,0,0,0,0.546030," ","integrate((f*x)^m*(a+b*arccosh(c*x))^n/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} \left(f x\right)^{m} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(f*x)^m*(b*arccosh(c*x) + a)^n/(c^2*x^2 - 1), x)","F",0
452,0,0,0,0.713831," ","integrate((f*x)^m*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}\right)} \left(f x\right)^{m} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}, x\right)"," ",0,"integral((c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2)*(f*x)^m*(b*arccosh(c*x) + a)^n, x)","F",0
453,0,0,0,0.732097," ","integrate((f*x)^m*(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n,x, algorithm=""fricas"")","{\rm integral}\left(-{\left(c^{2} d x^{2} - d\right)} \left(f x\right)^{m} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}, x\right)"," ",0,"integral(-(c^2*d*x^2 - d)*(f*x)^m*(b*arccosh(c*x) + a)^n, x)","F",0
454,0,0,0,0.539292," ","integrate((f*x)^m*(a+b*arccosh(c*x))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(f x\right)^{m} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}, x\right)"," ",0,"integral((f*x)^m*(b*arccosh(c*x) + a)^n, x)","F",0
455,0,0,0,0.589955," ","integrate((f*x)^m*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\left(f x\right)^{m} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-(f*x)^m*(b*arccosh(c*x) + a)^n/(c^2*d*x^2 - d), x)","F",0
456,0,0,0,0.704604," ","integrate((f*x)^m*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(f x\right)^{m} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((f*x)^m*(b*arccosh(c*x) + a)^n/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
457,0,0,0,0.603687," ","integrate((f*x)^m*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n,x, algorithm=""fricas"")","{\rm integral}\left(-{\left(c^{2} d x^{2} - d\right)} \sqrt{-c^{2} d x^{2} + d} \left(f x\right)^{m} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}, x\right)"," ",0,"integral(-(c^2*d*x^2 - d)*sqrt(-c^2*d*x^2 + d)*(f*x)^m*(b*arccosh(c*x) + a)^n, x)","F",0
458,0,0,0,0.685501," ","integrate((f*x)^m*(-c^2*d*x^2+d)^(1/2)*(a+b*arccosh(c*x))^n,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} \left(f x\right)^{m} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(f*x)^m*(b*arccosh(c*x) + a)^n, x)","F",0
459,0,0,0,0.612822," ","integrate((f*x)^m*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} \left(f x\right)^{m} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(f*x)^m*(b*arccosh(c*x) + a)^n/(c^2*d*x^2 - d), x)","F",0
460,0,0,0,0.551354," ","integrate((f*x)^m*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} \left(f x\right)^{m} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{c^{4} d^{2} x^{4} - 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(f*x)^m*(b*arccosh(c*x) + a)^n/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
461,1,140,0,0.692775," ","integrate(x^4*(e*x^2+d)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{525 \, a c^{7} e x^{7} + 735 \, a c^{7} d x^{5} + 105 \, {\left(5 \, b c^{7} e x^{7} + 7 \, b c^{7} d x^{5}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(75 \, b c^{6} e x^{6} + 3 \, {\left(49 \, b c^{6} d + 30 \, b c^{4} e\right)} x^{4} + 392 \, b c^{2} d + 4 \, {\left(49 \, b c^{4} d + 30 \, b c^{2} e\right)} x^{2} + 240 \, b e\right)} \sqrt{c^{2} x^{2} - 1}}{3675 \, c^{7}}"," ",0,"1/3675*(525*a*c^7*e*x^7 + 735*a*c^7*d*x^5 + 105*(5*b*c^7*e*x^7 + 7*b*c^7*d*x^5)*log(c*x + sqrt(c^2*x^2 - 1)) - (75*b*c^6*e*x^6 + 3*(49*b*c^6*d + 30*b*c^4*e)*x^4 + 392*b*c^2*d + 4*(49*b*c^4*d + 30*b*c^2*e)*x^2 + 240*b*e)*sqrt(c^2*x^2 - 1))/c^7","A",0
462,1,136,0,0.614295," ","integrate(x^3*(e*x^2+d)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{48 \, a c^{6} e x^{6} + 72 \, a c^{6} d x^{4} + 3 \, {\left(16 \, b c^{6} e x^{6} + 24 \, b c^{6} d x^{4} - 9 \, b c^{2} d - 5 \, b e\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(8 \, b c^{5} e x^{5} + 2 \, {\left(9 \, b c^{5} d + 5 \, b c^{3} e\right)} x^{3} + 3 \, {\left(9 \, b c^{3} d + 5 \, b c e\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{288 \, c^{6}}"," ",0,"1/288*(48*a*c^6*e*x^6 + 72*a*c^6*d*x^4 + 3*(16*b*c^6*e*x^6 + 24*b*c^6*d*x^4 - 9*b*c^2*d - 5*b*e)*log(c*x + sqrt(c^2*x^2 - 1)) - (8*b*c^5*e*x^5 + 2*(9*b*c^5*d + 5*b*c^3*e)*x^3 + 3*(9*b*c^3*d + 5*b*c*e)*x)*sqrt(c^2*x^2 - 1))/c^6","A",0
463,1,119,0,0.603899," ","integrate(x^2*(e*x^2+d)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{45 \, a c^{5} e x^{5} + 75 \, a c^{5} d x^{3} + 15 \, {\left(3 \, b c^{5} e x^{5} + 5 \, b c^{5} d x^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(9 \, b c^{4} e x^{4} + 50 \, b c^{2} d + {\left(25 \, b c^{4} d + 12 \, b c^{2} e\right)} x^{2} + 24 \, b e\right)} \sqrt{c^{2} x^{2} - 1}}{225 \, c^{5}}"," ",0,"1/225*(45*a*c^5*e*x^5 + 75*a*c^5*d*x^3 + 15*(3*b*c^5*e*x^5 + 5*b*c^5*d*x^3)*log(c*x + sqrt(c^2*x^2 - 1)) - (9*b*c^4*e*x^4 + 50*b*c^2*d + (25*b*c^4*d + 12*b*c^2*e)*x^2 + 24*b*e)*sqrt(c^2*x^2 - 1))/c^5","A",0
464,1,114,0,0.592851," ","integrate(x*(e*x^2+d)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{8 \, a c^{4} e x^{4} + 16 \, a c^{4} d x^{2} + {\left(8 \, b c^{4} e x^{4} + 16 \, b c^{4} d x^{2} - 8 \, b c^{2} d - 3 \, b e\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(2 \, b c^{3} e x^{3} + {\left(8 \, b c^{3} d + 3 \, b c e\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{32 \, c^{4}}"," ",0,"1/32*(8*a*c^4*e*x^4 + 16*a*c^4*d*x^2 + (8*b*c^4*e*x^4 + 16*b*c^4*d*x^2 - 8*b*c^2*d - 3*b*e)*log(c*x + sqrt(c^2*x^2 - 1)) - (2*b*c^3*e*x^3 + (8*b*c^3*d + 3*b*c*e)*x)*sqrt(c^2*x^2 - 1))/c^4","A",0
465,1,94,0,0.469760," ","integrate((e*x^2+d)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{3 \, a c^{3} e x^{3} + 9 \, a c^{3} d x + 3 \, {\left(b c^{3} e x^{3} + 3 \, b c^{3} d x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(b c^{2} e x^{2} + 9 \, b c^{2} d + 2 \, b e\right)} \sqrt{c^{2} x^{2} - 1}}{9 \, c^{3}}"," ",0,"1/9*(3*a*c^3*e*x^3 + 9*a*c^3*d*x + 3*(b*c^3*e*x^3 + 3*b*c^3*d*x)*log(c*x + sqrt(c^2*x^2 - 1)) - (b*c^2*e*x^2 + 9*b*c^2*d + 2*b*e)*sqrt(c^2*x^2 - 1))/c^3","A",0
466,0,0,0,0.518749," ","integrate((e*x^2+d)*(a+b*arccosh(c*x))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a e x^{2} + a d + {\left(b e x^{2} + b d\right)} \operatorname{arcosh}\left(c x\right)}{x}, x\right)"," ",0,"integral((a*e*x^2 + a*d + (b*e*x^2 + b*d)*arccosh(c*x))/x, x)","F",0
467,1,132,0,0.687593," ","integrate((e*x^2+d)*(a+b*arccosh(c*x))/x^2,x, algorithm=""fricas"")","\frac{2 \, b c^{2} d x \arctan\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + a c e x^{2} - \sqrt{c^{2} x^{2} - 1} b e x - a c d + {\left(b c d - b c e\right)} x \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(b c e x^{2} - b c d + {\left(b c d - b c e\right)} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)}{c x}"," ",0,"(2*b*c^2*d*x*arctan(-c*x + sqrt(c^2*x^2 - 1)) + a*c*e*x^2 - sqrt(c^2*x^2 - 1)*b*e*x - a*c*d + (b*c*d - b*c*e)*x*log(-c*x + sqrt(c^2*x^2 - 1)) + (b*c*e*x^2 - b*c*d + (b*c*d - b*c*e)*x)*log(c*x + sqrt(c^2*x^2 - 1)))/(c*x)","A",0
468,0,0,0,0.538018," ","integrate((e*x^2+d)*(a+b*arccosh(c*x))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a e x^{2} + a d + {\left(b e x^{2} + b d\right)} \operatorname{arcosh}\left(c x\right)}{x^{3}}, x\right)"," ",0,"integral((a*e*x^2 + a*d + (b*e*x^2 + b*d)*arccosh(c*x))/x^3, x)","F",0
469,1,139,0,0.879771," ","integrate((e*x^2+d)*(a+b*arccosh(c*x))/x^4,x, algorithm=""fricas"")","\frac{2 \, {\left(b c^{3} d + 6 \, b c e\right)} x^{3} \arctan\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + 2 \, {\left(b d + 3 \, b e\right)} x^{3} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + \sqrt{c^{2} x^{2} - 1} b c d x - 6 \, a e x^{2} - 2 \, a d - 2 \, {\left(3 \, b e x^{2} - {\left(b d + 3 \, b e\right)} x^{3} + b d\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)}{6 \, x^{3}}"," ",0,"1/6*(2*(b*c^3*d + 6*b*c*e)*x^3*arctan(-c*x + sqrt(c^2*x^2 - 1)) + 2*(b*d + 3*b*e)*x^3*log(-c*x + sqrt(c^2*x^2 - 1)) + sqrt(c^2*x^2 - 1)*b*c*d*x - 6*a*e*x^2 - 2*a*d - 2*(3*b*e*x^2 - (b*d + 3*b*e)*x^3 + b*d)*log(c*x + sqrt(c^2*x^2 - 1)))/x^3","A",0
470,1,231,0,0.545331," ","integrate(x^4*(e*x^2+d)^2*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{11025 \, a c^{9} e^{2} x^{9} + 28350 \, a c^{9} d e x^{7} + 19845 \, a c^{9} d^{2} x^{5} + 315 \, {\left(35 \, b c^{9} e^{2} x^{9} + 90 \, b c^{9} d e x^{7} + 63 \, b c^{9} d^{2} x^{5}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(1225 \, b c^{8} e^{2} x^{8} + 10584 \, b c^{4} d^{2} + 50 \, {\left(81 \, b c^{8} d e + 28 \, b c^{6} e^{2}\right)} x^{6} + 12960 \, b c^{2} d e + 3 \, {\left(1323 \, b c^{8} d^{2} + 1620 \, b c^{6} d e + 560 \, b c^{4} e^{2}\right)} x^{4} + 4480 \, b e^{2} + 4 \, {\left(1323 \, b c^{6} d^{2} + 1620 \, b c^{4} d e + 560 \, b c^{2} e^{2}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{99225 \, c^{9}}"," ",0,"1/99225*(11025*a*c^9*e^2*x^9 + 28350*a*c^9*d*e*x^7 + 19845*a*c^9*d^2*x^5 + 315*(35*b*c^9*e^2*x^9 + 90*b*c^9*d*e*x^7 + 63*b*c^9*d^2*x^5)*log(c*x + sqrt(c^2*x^2 - 1)) - (1225*b*c^8*e^2*x^8 + 10584*b*c^4*d^2 + 50*(81*b*c^8*d*e + 28*b*c^6*e^2)*x^6 + 12960*b*c^2*d*e + 3*(1323*b*c^8*d^2 + 1620*b*c^6*d*e + 560*b*c^4*e^2)*x^4 + 4480*b*e^2 + 4*(1323*b*c^6*d^2 + 1620*b*c^4*d*e + 560*b*c^2*e^2)*x^2)*sqrt(c^2*x^2 - 1))/c^9","A",0
471,1,227,0,0.701561," ","integrate(x^3*(e*x^2+d)^2*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{1152 \, a c^{8} e^{2} x^{8} + 3072 \, a c^{8} d e x^{6} + 2304 \, a c^{8} d^{2} x^{4} + 3 \, {\left(384 \, b c^{8} e^{2} x^{8} + 1024 \, b c^{8} d e x^{6} + 768 \, b c^{8} d^{2} x^{4} - 288 \, b c^{4} d^{2} - 320 \, b c^{2} d e - 105 \, b e^{2}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(144 \, b c^{7} e^{2} x^{7} + 8 \, {\left(64 \, b c^{7} d e + 21 \, b c^{5} e^{2}\right)} x^{5} + 2 \, {\left(288 \, b c^{7} d^{2} + 320 \, b c^{5} d e + 105 \, b c^{3} e^{2}\right)} x^{3} + 3 \, {\left(288 \, b c^{5} d^{2} + 320 \, b c^{3} d e + 105 \, b c e^{2}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{9216 \, c^{8}}"," ",0,"1/9216*(1152*a*c^8*e^2*x^8 + 3072*a*c^8*d*e*x^6 + 2304*a*c^8*d^2*x^4 + 3*(384*b*c^8*e^2*x^8 + 1024*b*c^8*d*e*x^6 + 768*b*c^8*d^2*x^4 - 288*b*c^4*d^2 - 320*b*c^2*d*e - 105*b*e^2)*log(c*x + sqrt(c^2*x^2 - 1)) - (144*b*c^7*e^2*x^7 + 8*(64*b*c^7*d*e + 21*b*c^5*e^2)*x^5 + 2*(288*b*c^7*d^2 + 320*b*c^5*d*e + 105*b*c^3*e^2)*x^3 + 3*(288*b*c^5*d^2 + 320*b*c^3*d*e + 105*b*c*e^2)*x)*sqrt(c^2*x^2 - 1))/c^8","A",0
472,1,198,0,0.563714," ","integrate(x^2*(e*x^2+d)^2*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{1575 \, a c^{7} e^{2} x^{7} + 4410 \, a c^{7} d e x^{5} + 3675 \, a c^{7} d^{2} x^{3} + 105 \, {\left(15 \, b c^{7} e^{2} x^{7} + 42 \, b c^{7} d e x^{5} + 35 \, b c^{7} d^{2} x^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(225 \, b c^{6} e^{2} x^{6} + 2450 \, b c^{4} d^{2} + 2352 \, b c^{2} d e + 18 \, {\left(49 \, b c^{6} d e + 15 \, b c^{4} e^{2}\right)} x^{4} + 720 \, b e^{2} + {\left(1225 \, b c^{6} d^{2} + 1176 \, b c^{4} d e + 360 \, b c^{2} e^{2}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{11025 \, c^{7}}"," ",0,"1/11025*(1575*a*c^7*e^2*x^7 + 4410*a*c^7*d*e*x^5 + 3675*a*c^7*d^2*x^3 + 105*(15*b*c^7*e^2*x^7 + 42*b*c^7*d*e*x^5 + 35*b*c^7*d^2*x^3)*log(c*x + sqrt(c^2*x^2 - 1)) - (225*b*c^6*e^2*x^6 + 2450*b*c^4*d^2 + 2352*b*c^2*d*e + 18*(49*b*c^6*d*e + 15*b*c^4*e^2)*x^4 + 720*b*e^2 + (1225*b*c^6*d^2 + 1176*b*c^4*d*e + 360*b*c^2*e^2)*x^2)*sqrt(c^2*x^2 - 1))/c^7","A",0
473,1,195,0,0.667154," ","integrate(x*(e*x^2+d)^2*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{48 \, a c^{6} e^{2} x^{6} + 144 \, a c^{6} d e x^{4} + 144 \, a c^{6} d^{2} x^{2} + 3 \, {\left(16 \, b c^{6} e^{2} x^{6} + 48 \, b c^{6} d e x^{4} + 48 \, b c^{6} d^{2} x^{2} - 24 \, b c^{4} d^{2} - 18 \, b c^{2} d e - 5 \, b e^{2}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(8 \, b c^{5} e^{2} x^{5} + 2 \, {\left(18 \, b c^{5} d e + 5 \, b c^{3} e^{2}\right)} x^{3} + 3 \, {\left(24 \, b c^{5} d^{2} + 18 \, b c^{3} d e + 5 \, b c e^{2}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{288 \, c^{6}}"," ",0,"1/288*(48*a*c^6*e^2*x^6 + 144*a*c^6*d*e*x^4 + 144*a*c^6*d^2*x^2 + 3*(16*b*c^6*e^2*x^6 + 48*b*c^6*d*e*x^4 + 48*b*c^6*d^2*x^2 - 24*b*c^4*d^2 - 18*b*c^2*d*e - 5*b*e^2)*log(c*x + sqrt(c^2*x^2 - 1)) - (8*b*c^5*e^2*x^5 + 2*(18*b*c^5*d*e + 5*b*c^3*e^2)*x^3 + 3*(24*b*c^5*d^2 + 18*b*c^3*d*e + 5*b*c*e^2)*x)*sqrt(c^2*x^2 - 1))/c^6","A",0
474,1,163,0,0.452252," ","integrate((e*x^2+d)^2*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{45 \, a c^{5} e^{2} x^{5} + 150 \, a c^{5} d e x^{3} + 225 \, a c^{5} d^{2} x + 15 \, {\left(3 \, b c^{5} e^{2} x^{5} + 10 \, b c^{5} d e x^{3} + 15 \, b c^{5} d^{2} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(9 \, b c^{4} e^{2} x^{4} + 225 \, b c^{4} d^{2} + 100 \, b c^{2} d e + 24 \, b e^{2} + 2 \, {\left(25 \, b c^{4} d e + 6 \, b c^{2} e^{2}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{225 \, c^{5}}"," ",0,"1/225*(45*a*c^5*e^2*x^5 + 150*a*c^5*d*e*x^3 + 225*a*c^5*d^2*x + 15*(3*b*c^5*e^2*x^5 + 10*b*c^5*d*e*x^3 + 15*b*c^5*d^2*x)*log(c*x + sqrt(c^2*x^2 - 1)) - (9*b*c^4*e^2*x^4 + 225*b*c^4*d^2 + 100*b*c^2*d*e + 24*b*e^2 + 2*(25*b*c^4*d*e + 6*b*c^2*e^2)*x^2)*sqrt(c^2*x^2 - 1))/c^5","A",0
475,0,0,0,0.489766," ","integrate((e*x^2+d)^2*(a+b*arccosh(c*x))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a e^{2} x^{4} + 2 \, a d e x^{2} + a d^{2} + {\left(b e^{2} x^{4} + 2 \, b d e x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)}{x}, x\right)"," ",0,"integral((a*e^2*x^4 + 2*a*d*e*x^2 + a*d^2 + (b*e^2*x^4 + 2*b*d*e*x^2 + b*d^2)*arccosh(c*x))/x, x)","F",0
476,1,236,0,0.857810," ","integrate((e*x^2+d)^2*(a+b*arccosh(c*x))/x^2,x, algorithm=""fricas"")","\frac{3 \, a c^{3} e^{2} x^{4} + 18 \, b c^{4} d^{2} x \arctan\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + 18 \, a c^{3} d e x^{2} - 9 \, a c^{3} d^{2} + 3 \, {\left(3 \, b c^{3} d^{2} - 6 \, b c^{3} d e - b c^{3} e^{2}\right)} x \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + 3 \, {\left(b c^{3} e^{2} x^{4} + 6 \, b c^{3} d e x^{2} - 3 \, b c^{3} d^{2} + {\left(3 \, b c^{3} d^{2} - 6 \, b c^{3} d e - b c^{3} e^{2}\right)} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(b c^{2} e^{2} x^{3} + 2 \, {\left(9 \, b c^{2} d e + b e^{2}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{9 \, c^{3} x}"," ",0,"1/9*(3*a*c^3*e^2*x^4 + 18*b*c^4*d^2*x*arctan(-c*x + sqrt(c^2*x^2 - 1)) + 18*a*c^3*d*e*x^2 - 9*a*c^3*d^2 + 3*(3*b*c^3*d^2 - 6*b*c^3*d*e - b*c^3*e^2)*x*log(-c*x + sqrt(c^2*x^2 - 1)) + 3*(b*c^3*e^2*x^4 + 6*b*c^3*d*e*x^2 - 3*b*c^3*d^2 + (3*b*c^3*d^2 - 6*b*c^3*d*e - b*c^3*e^2)*x)*log(c*x + sqrt(c^2*x^2 - 1)) - (b*c^2*e^2*x^3 + 2*(9*b*c^2*d*e + b*e^2)*x)*sqrt(c^2*x^2 - 1))/(c^3*x)","A",0
477,0,0,0,0.631139," ","integrate((e*x^2+d)^2*(a+b*arccosh(c*x))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a e^{2} x^{4} + 2 \, a d e x^{2} + a d^{2} + {\left(b e^{2} x^{4} + 2 \, b d e x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)}{x^{3}}, x\right)"," ",0,"integral((a*e^2*x^4 + 2*a*d*e*x^2 + a*d^2 + (b*e^2*x^4 + 2*b*d*e*x^2 + b*d^2)*arccosh(c*x))/x^3, x)","F",0
478,1,216,0,0.774029," ","integrate((e*x^2+d)^2*(a+b*arccosh(c*x))/x^4,x, algorithm=""fricas"")","\frac{6 \, a c e^{2} x^{4} - 12 \, a c d e x^{2} + 2 \, {\left(b c^{4} d^{2} + 12 \, b c^{2} d e\right)} x^{3} \arctan\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + 2 \, {\left(b c d^{2} + 6 \, b c d e - 3 \, b c e^{2}\right)} x^{3} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) - 2 \, a c d^{2} + 2 \, {\left(3 \, b c e^{2} x^{4} - 6 \, b c d e x^{2} - b c d^{2} + {\left(b c d^{2} + 6 \, b c d e - 3 \, b c e^{2}\right)} x^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(b c^{2} d^{2} x - 6 \, b e^{2} x^{3}\right)} \sqrt{c^{2} x^{2} - 1}}{6 \, c x^{3}}"," ",0,"1/6*(6*a*c*e^2*x^4 - 12*a*c*d*e*x^2 + 2*(b*c^4*d^2 + 12*b*c^2*d*e)*x^3*arctan(-c*x + sqrt(c^2*x^2 - 1)) + 2*(b*c*d^2 + 6*b*c*d*e - 3*b*c*e^2)*x^3*log(-c*x + sqrt(c^2*x^2 - 1)) - 2*a*c*d^2 + 2*(3*b*c*e^2*x^4 - 6*b*c*d*e*x^2 - b*c*d^2 + (b*c*d^2 + 6*b*c*d*e - 3*b*c*e^2)*x^3)*log(c*x + sqrt(c^2*x^2 - 1)) + (b*c^2*d^2*x - 6*b*e^2*x^3)*sqrt(c^2*x^2 - 1))/(c*x^3)","A",0
479,1,334,0,0.799019," ","integrate(x^4*(e*x^2+d)^3*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{363825 \, a c^{11} e^{3} x^{11} + 1334025 \, a c^{11} d e^{2} x^{9} + 1715175 \, a c^{11} d^{2} e x^{7} + 800415 \, a c^{11} d^{3} x^{5} + 3465 \, {\left(105 \, b c^{11} e^{3} x^{11} + 385 \, b c^{11} d e^{2} x^{9} + 495 \, b c^{11} d^{2} e x^{7} + 231 \, b c^{11} d^{3} x^{5}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(33075 \, b c^{10} e^{3} x^{10} + 426888 \, b c^{6} d^{3} + 1225 \, {\left(121 \, b c^{10} d e^{2} + 30 \, b c^{8} e^{3}\right)} x^{8} + 784080 \, b c^{4} d^{2} e + 25 \, {\left(9801 \, b c^{10} d^{2} e + 6776 \, b c^{8} d e^{2} + 1680 \, b c^{6} e^{3}\right)} x^{6} + 542080 \, b c^{2} d e^{2} + 3 \, {\left(53361 \, b c^{10} d^{3} + 98010 \, b c^{8} d^{2} e + 67760 \, b c^{6} d e^{2} + 16800 \, b c^{4} e^{3}\right)} x^{4} + 134400 \, b e^{3} + 4 \, {\left(53361 \, b c^{8} d^{3} + 98010 \, b c^{6} d^{2} e + 67760 \, b c^{4} d e^{2} + 16800 \, b c^{2} e^{3}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{4002075 \, c^{11}}"," ",0,"1/4002075*(363825*a*c^11*e^3*x^11 + 1334025*a*c^11*d*e^2*x^9 + 1715175*a*c^11*d^2*e*x^7 + 800415*a*c^11*d^3*x^5 + 3465*(105*b*c^11*e^3*x^11 + 385*b*c^11*d*e^2*x^9 + 495*b*c^11*d^2*e*x^7 + 231*b*c^11*d^3*x^5)*log(c*x + sqrt(c^2*x^2 - 1)) - (33075*b*c^10*e^3*x^10 + 426888*b*c^6*d^3 + 1225*(121*b*c^10*d*e^2 + 30*b*c^8*e^3)*x^8 + 784080*b*c^4*d^2*e + 25*(9801*b*c^10*d^2*e + 6776*b*c^8*d*e^2 + 1680*b*c^6*e^3)*x^6 + 542080*b*c^2*d*e^2 + 3*(53361*b*c^10*d^3 + 98010*b*c^8*d^2*e + 67760*b*c^6*d*e^2 + 16800*b*c^4*e^3)*x^4 + 134400*b*e^3 + 4*(53361*b*c^8*d^3 + 98010*b*c^6*d^2*e + 67760*b*c^4*d*e^2 + 16800*b*c^2*e^3)*x^2)*sqrt(c^2*x^2 - 1))/c^11","A",0
480,1,330,0,0.807994," ","integrate(x^3*(e*x^2+d)^3*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{7680 \, a c^{10} e^{3} x^{10} + 28800 \, a c^{10} d e^{2} x^{8} + 38400 \, a c^{10} d^{2} e x^{6} + 19200 \, a c^{10} d^{3} x^{4} + 15 \, {\left(512 \, b c^{10} e^{3} x^{10} + 1920 \, b c^{10} d e^{2} x^{8} + 2560 \, b c^{10} d^{2} e x^{6} + 1280 \, b c^{10} d^{3} x^{4} - 480 \, b c^{6} d^{3} - 800 \, b c^{4} d^{2} e - 525 \, b c^{2} d e^{2} - 126 \, b e^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(768 \, b c^{9} e^{3} x^{9} + 144 \, {\left(25 \, b c^{9} d e^{2} + 6 \, b c^{7} e^{3}\right)} x^{7} + 8 \, {\left(800 \, b c^{9} d^{2} e + 525 \, b c^{7} d e^{2} + 126 \, b c^{5} e^{3}\right)} x^{5} + 10 \, {\left(480 \, b c^{9} d^{3} + 800 \, b c^{7} d^{2} e + 525 \, b c^{5} d e^{2} + 126 \, b c^{3} e^{3}\right)} x^{3} + 15 \, {\left(480 \, b c^{7} d^{3} + 800 \, b c^{5} d^{2} e + 525 \, b c^{3} d e^{2} + 126 \, b c e^{3}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{76800 \, c^{10}}"," ",0,"1/76800*(7680*a*c^10*e^3*x^10 + 28800*a*c^10*d*e^2*x^8 + 38400*a*c^10*d^2*e*x^6 + 19200*a*c^10*d^3*x^4 + 15*(512*b*c^10*e^3*x^10 + 1920*b*c^10*d*e^2*x^8 + 2560*b*c^10*d^2*e*x^6 + 1280*b*c^10*d^3*x^4 - 480*b*c^6*d^3 - 800*b*c^4*d^2*e - 525*b*c^2*d*e^2 - 126*b*e^3)*log(c*x + sqrt(c^2*x^2 - 1)) - (768*b*c^9*e^3*x^9 + 144*(25*b*c^9*d*e^2 + 6*b*c^7*e^3)*x^7 + 8*(800*b*c^9*d^2*e + 525*b*c^7*d*e^2 + 126*b*c^5*e^3)*x^5 + 10*(480*b*c^9*d^3 + 800*b*c^7*d^2*e + 525*b*c^5*d*e^2 + 126*b*c^3*e^3)*x^3 + 15*(480*b*c^7*d^3 + 800*b*c^5*d^2*e + 525*b*c^3*d*e^2 + 126*b*c*e^3)*x)*sqrt(c^2*x^2 - 1))/c^10","A",0
481,1,289,0,0.641071," ","integrate(x^2*(e*x^2+d)^3*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{11025 \, a c^{9} e^{3} x^{9} + 42525 \, a c^{9} d e^{2} x^{7} + 59535 \, a c^{9} d^{2} e x^{5} + 33075 \, a c^{9} d^{3} x^{3} + 315 \, {\left(35 \, b c^{9} e^{3} x^{9} + 135 \, b c^{9} d e^{2} x^{7} + 189 \, b c^{9} d^{2} e x^{5} + 105 \, b c^{9} d^{3} x^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(1225 \, b c^{8} e^{3} x^{8} + 22050 \, b c^{6} d^{3} + 31752 \, b c^{4} d^{2} e + 25 \, {\left(243 \, b c^{8} d e^{2} + 56 \, b c^{6} e^{3}\right)} x^{6} + 19440 \, b c^{2} d e^{2} + 3 \, {\left(3969 \, b c^{8} d^{2} e + 2430 \, b c^{6} d e^{2} + 560 \, b c^{4} e^{3}\right)} x^{4} + 4480 \, b e^{3} + {\left(11025 \, b c^{8} d^{3} + 15876 \, b c^{6} d^{2} e + 9720 \, b c^{4} d e^{2} + 2240 \, b c^{2} e^{3}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{99225 \, c^{9}}"," ",0,"1/99225*(11025*a*c^9*e^3*x^9 + 42525*a*c^9*d*e^2*x^7 + 59535*a*c^9*d^2*e*x^5 + 33075*a*c^9*d^3*x^3 + 315*(35*b*c^9*e^3*x^9 + 135*b*c^9*d*e^2*x^7 + 189*b*c^9*d^2*e*x^5 + 105*b*c^9*d^3*x^3)*log(c*x + sqrt(c^2*x^2 - 1)) - (1225*b*c^8*e^3*x^8 + 22050*b*c^6*d^3 + 31752*b*c^4*d^2*e + 25*(243*b*c^8*d*e^2 + 56*b*c^6*e^3)*x^6 + 19440*b*c^2*d*e^2 + 3*(3969*b*c^8*d^2*e + 2430*b*c^6*d*e^2 + 560*b*c^4*e^3)*x^4 + 4480*b*e^3 + (11025*b*c^8*d^3 + 15876*b*c^6*d^2*e + 9720*b*c^4*d*e^2 + 2240*b*c^2*e^3)*x^2)*sqrt(c^2*x^2 - 1))/c^9","A",0
482,1,286,0,0.542873," ","integrate(x*(e*x^2+d)^3*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{384 \, a c^{8} e^{3} x^{8} + 1536 \, a c^{8} d e^{2} x^{6} + 2304 \, a c^{8} d^{2} e x^{4} + 1536 \, a c^{8} d^{3} x^{2} + 3 \, {\left(128 \, b c^{8} e^{3} x^{8} + 512 \, b c^{8} d e^{2} x^{6} + 768 \, b c^{8} d^{2} e x^{4} + 512 \, b c^{8} d^{3} x^{2} - 256 \, b c^{6} d^{3} - 288 \, b c^{4} d^{2} e - 160 \, b c^{2} d e^{2} - 35 \, b e^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(48 \, b c^{7} e^{3} x^{7} + 8 \, {\left(32 \, b c^{7} d e^{2} + 7 \, b c^{5} e^{3}\right)} x^{5} + 2 \, {\left(288 \, b c^{7} d^{2} e + 160 \, b c^{5} d e^{2} + 35 \, b c^{3} e^{3}\right)} x^{3} + 3 \, {\left(256 \, b c^{7} d^{3} + 288 \, b c^{5} d^{2} e + 160 \, b c^{3} d e^{2} + 35 \, b c e^{3}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{3072 \, c^{8}}"," ",0,"1/3072*(384*a*c^8*e^3*x^8 + 1536*a*c^8*d*e^2*x^6 + 2304*a*c^8*d^2*e*x^4 + 1536*a*c^8*d^3*x^2 + 3*(128*b*c^8*e^3*x^8 + 512*b*c^8*d*e^2*x^6 + 768*b*c^8*d^2*e*x^4 + 512*b*c^8*d^3*x^2 - 256*b*c^6*d^3 - 288*b*c^4*d^2*e - 160*b*c^2*d*e^2 - 35*b*e^3)*log(c*x + sqrt(c^2*x^2 - 1)) - (48*b*c^7*e^3*x^7 + 8*(32*b*c^7*d*e^2 + 7*b*c^5*e^3)*x^5 + 2*(288*b*c^7*d^2*e + 160*b*c^5*d*e^2 + 35*b*c^3*e^3)*x^3 + 3*(256*b*c^7*d^3 + 288*b*c^5*d^2*e + 160*b*c^3*d*e^2 + 35*b*c*e^3)*x)*sqrt(c^2*x^2 - 1))/c^8","A",0
483,1,241,0,0.616083," ","integrate((e*x^2+d)^3*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{525 \, a c^{7} e^{3} x^{7} + 2205 \, a c^{7} d e^{2} x^{5} + 3675 \, a c^{7} d^{2} e x^{3} + 3675 \, a c^{7} d^{3} x + 105 \, {\left(5 \, b c^{7} e^{3} x^{7} + 21 \, b c^{7} d e^{2} x^{5} + 35 \, b c^{7} d^{2} e x^{3} + 35 \, b c^{7} d^{3} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(75 \, b c^{6} e^{3} x^{6} + 3675 \, b c^{6} d^{3} + 2450 \, b c^{4} d^{2} e + 1176 \, b c^{2} d e^{2} + 9 \, {\left(49 \, b c^{6} d e^{2} + 10 \, b c^{4} e^{3}\right)} x^{4} + 240 \, b e^{3} + {\left(1225 \, b c^{6} d^{2} e + 588 \, b c^{4} d e^{2} + 120 \, b c^{2} e^{3}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{3675 \, c^{7}}"," ",0,"1/3675*(525*a*c^7*e^3*x^7 + 2205*a*c^7*d*e^2*x^5 + 3675*a*c^7*d^2*e*x^3 + 3675*a*c^7*d^3*x + 105*(5*b*c^7*e^3*x^7 + 21*b*c^7*d*e^2*x^5 + 35*b*c^7*d^2*e*x^3 + 35*b*c^7*d^3*x)*log(c*x + sqrt(c^2*x^2 - 1)) - (75*b*c^6*e^3*x^6 + 3675*b*c^6*d^3 + 2450*b*c^4*d^2*e + 1176*b*c^2*d*e^2 + 9*(49*b*c^6*d*e^2 + 10*b*c^4*e^3)*x^4 + 240*b*e^3 + (1225*b*c^6*d^2*e + 588*b*c^4*d*e^2 + 120*b*c^2*e^3)*x^2)*sqrt(c^2*x^2 - 1))/c^7","A",0
484,0,0,0,0.691355," ","integrate((e*x^2+d)^3*(a+b*arccosh(c*x))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a e^{3} x^{6} + 3 \, a d e^{2} x^{4} + 3 \, a d^{2} e x^{2} + a d^{3} + {\left(b e^{3} x^{6} + 3 \, b d e^{2} x^{4} + 3 \, b d^{2} e x^{2} + b d^{3}\right)} \operatorname{arcosh}\left(c x\right)}{x}, x\right)"," ",0,"integral((a*e^3*x^6 + 3*a*d*e^2*x^4 + 3*a*d^2*e*x^2 + a*d^3 + (b*e^3*x^6 + 3*b*d*e^2*x^4 + 3*b*d^2*e*x^2 + b*d^3)*arccosh(c*x))/x, x)","F",0
485,1,327,0,0.751444," ","integrate((e*x^2+d)^3*(a+b*arccosh(c*x))/x^2,x, algorithm=""fricas"")","\frac{15 \, a c^{5} e^{3} x^{6} + 75 \, a c^{5} d e^{2} x^{4} + 150 \, b c^{6} d^{3} x \arctan\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + 225 \, a c^{5} d^{2} e x^{2} - 75 \, a c^{5} d^{3} + 15 \, {\left(5 \, b c^{5} d^{3} - 15 \, b c^{5} d^{2} e - 5 \, b c^{5} d e^{2} - b c^{5} e^{3}\right)} x \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + 15 \, {\left(b c^{5} e^{3} x^{6} + 5 \, b c^{5} d e^{2} x^{4} + 15 \, b c^{5} d^{2} e x^{2} - 5 \, b c^{5} d^{3} + {\left(5 \, b c^{5} d^{3} - 15 \, b c^{5} d^{2} e - 5 \, b c^{5} d e^{2} - b c^{5} e^{3}\right)} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(3 \, b c^{4} e^{3} x^{5} + {\left(25 \, b c^{4} d e^{2} + 4 \, b c^{2} e^{3}\right)} x^{3} + {\left(225 \, b c^{4} d^{2} e + 50 \, b c^{2} d e^{2} + 8 \, b e^{3}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{75 \, c^{5} x}"," ",0,"1/75*(15*a*c^5*e^3*x^6 + 75*a*c^5*d*e^2*x^4 + 150*b*c^6*d^3*x*arctan(-c*x + sqrt(c^2*x^2 - 1)) + 225*a*c^5*d^2*e*x^2 - 75*a*c^5*d^3 + 15*(5*b*c^5*d^3 - 15*b*c^5*d^2*e - 5*b*c^5*d*e^2 - b*c^5*e^3)*x*log(-c*x + sqrt(c^2*x^2 - 1)) + 15*(b*c^5*e^3*x^6 + 5*b*c^5*d*e^2*x^4 + 15*b*c^5*d^2*e*x^2 - 5*b*c^5*d^3 + (5*b*c^5*d^3 - 15*b*c^5*d^2*e - 5*b*c^5*d*e^2 - b*c^5*e^3)*x)*log(c*x + sqrt(c^2*x^2 - 1)) - (3*b*c^4*e^3*x^5 + (25*b*c^4*d*e^2 + 4*b*c^2*e^3)*x^3 + (225*b*c^4*d^2*e + 50*b*c^2*d*e^2 + 8*b*e^3)*x)*sqrt(c^2*x^2 - 1))/(c^5*x)","A",0
486,0,0,0,0.428557," ","integrate((e*x^2+d)^3*(a+b*arccosh(c*x))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a e^{3} x^{6} + 3 \, a d e^{2} x^{4} + 3 \, a d^{2} e x^{2} + a d^{3} + {\left(b e^{3} x^{6} + 3 \, b d e^{2} x^{4} + 3 \, b d^{2} e x^{2} + b d^{3}\right)} \operatorname{arcosh}\left(c x\right)}{x^{3}}, x\right)"," ",0,"integral((a*e^3*x^6 + 3*a*d*e^2*x^4 + 3*a*d^2*e*x^2 + a*d^3 + (b*e^3*x^6 + 3*b*d*e^2*x^4 + 3*b*d^2*e*x^2 + b*d^3)*arccosh(c*x))/x^3, x)","F",0
487,1,322,0,0.808278," ","integrate((e*x^2+d)^3*(a+b*arccosh(c*x))/x^4,x, algorithm=""fricas"")","\frac{6 \, a c^{3} e^{3} x^{6} + 54 \, a c^{3} d e^{2} x^{4} - 54 \, a c^{3} d^{2} e x^{2} - 6 \, a c^{3} d^{3} + 6 \, {\left(b c^{6} d^{3} + 18 \, b c^{4} d^{2} e\right)} x^{3} \arctan\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + 6 \, {\left(b c^{3} d^{3} + 9 \, b c^{3} d^{2} e - 9 \, b c^{3} d e^{2} - b c^{3} e^{3}\right)} x^{3} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + 6 \, {\left(b c^{3} e^{3} x^{6} + 9 \, b c^{3} d e^{2} x^{4} - 9 \, b c^{3} d^{2} e x^{2} - b c^{3} d^{3} + {\left(b c^{3} d^{3} + 9 \, b c^{3} d^{2} e - 9 \, b c^{3} d e^{2} - b c^{3} e^{3}\right)} x^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(2 \, b c^{2} e^{3} x^{5} - 3 \, b c^{4} d^{3} x + 2 \, {\left(27 \, b c^{2} d e^{2} + 2 \, b e^{3}\right)} x^{3}\right)} \sqrt{c^{2} x^{2} - 1}}{18 \, c^{3} x^{3}}"," ",0,"1/18*(6*a*c^3*e^3*x^6 + 54*a*c^3*d*e^2*x^4 - 54*a*c^3*d^2*e*x^2 - 6*a*c^3*d^3 + 6*(b*c^6*d^3 + 18*b*c^4*d^2*e)*x^3*arctan(-c*x + sqrt(c^2*x^2 - 1)) + 6*(b*c^3*d^3 + 9*b*c^3*d^2*e - 9*b*c^3*d*e^2 - b*c^3*e^3)*x^3*log(-c*x + sqrt(c^2*x^2 - 1)) + 6*(b*c^3*e^3*x^6 + 9*b*c^3*d*e^2*x^4 - 9*b*c^3*d^2*e*x^2 - b*c^3*d^3 + (b*c^3*d^3 + 9*b*c^3*d^2*e - 9*b*c^3*d*e^2 - b*c^3*e^3)*x^3)*log(c*x + sqrt(c^2*x^2 - 1)) - (2*b*c^2*e^3*x^5 - 3*b*c^4*d^3*x + 2*(27*b*c^2*d*e^2 + 2*b*e^3)*x^3)*sqrt(c^2*x^2 - 1))/(c^3*x^3)","A",0
488,1,333,0,0.641721," ","integrate((e*x^2+d)^4*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{11025 \, a c^{9} e^{4} x^{9} + 56700 \, a c^{9} d e^{3} x^{7} + 119070 \, a c^{9} d^{2} e^{2} x^{5} + 132300 \, a c^{9} d^{3} e x^{3} + 99225 \, a c^{9} d^{4} x + 315 \, {\left(35 \, b c^{9} e^{4} x^{9} + 180 \, b c^{9} d e^{3} x^{7} + 378 \, b c^{9} d^{2} e^{2} x^{5} + 420 \, b c^{9} d^{3} e x^{3} + 315 \, b c^{9} d^{4} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(1225 \, b c^{8} e^{4} x^{8} + 99225 \, b c^{8} d^{4} + 88200 \, b c^{6} d^{3} e + 63504 \, b c^{4} d^{2} e^{2} + 25920 \, b c^{2} d e^{3} + 100 \, {\left(81 \, b c^{8} d e^{3} + 14 \, b c^{6} e^{4}\right)} x^{6} + 4480 \, b e^{4} + 6 \, {\left(3969 \, b c^{8} d^{2} e^{2} + 1620 \, b c^{6} d e^{3} + 280 \, b c^{4} e^{4}\right)} x^{4} + 4 \, {\left(11025 \, b c^{8} d^{3} e + 7938 \, b c^{6} d^{2} e^{2} + 3240 \, b c^{4} d e^{3} + 560 \, b c^{2} e^{4}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{99225 \, c^{9}}"," ",0,"1/99225*(11025*a*c^9*e^4*x^9 + 56700*a*c^9*d*e^3*x^7 + 119070*a*c^9*d^2*e^2*x^5 + 132300*a*c^9*d^3*e*x^3 + 99225*a*c^9*d^4*x + 315*(35*b*c^9*e^4*x^9 + 180*b*c^9*d*e^3*x^7 + 378*b*c^9*d^2*e^2*x^5 + 420*b*c^9*d^3*e*x^3 + 315*b*c^9*d^4*x)*log(c*x + sqrt(c^2*x^2 - 1)) - (1225*b*c^8*e^4*x^8 + 99225*b*c^8*d^4 + 88200*b*c^6*d^3*e + 63504*b*c^4*d^2*e^2 + 25920*b*c^2*d*e^3 + 100*(81*b*c^8*d*e^3 + 14*b*c^6*e^4)*x^6 + 4480*b*e^4 + 6*(3969*b*c^8*d^2*e^2 + 1620*b*c^6*d*e^3 + 280*b*c^4*e^4)*x^4 + 4*(11025*b*c^8*d^3*e + 7938*b*c^6*d^2*e^2 + 3240*b*c^4*d*e^3 + 560*b*c^2*e^4)*x^2)*sqrt(c^2*x^2 - 1))/c^9","A",0
489,0,0,0,0.487552," ","integrate(x^4*(a+b*arccosh(c*x))/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \operatorname{arcosh}\left(c x\right) + a x^{4}}{e x^{2} + d}, x\right)"," ",0,"integral((b*x^4*arccosh(c*x) + a*x^4)/(e*x^2 + d), x)","F",0
490,0,0,0,0.583633," ","integrate(x^3*(a+b*arccosh(c*x))/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \operatorname{arcosh}\left(c x\right) + a x^{3}}{e x^{2} + d}, x\right)"," ",0,"integral((b*x^3*arccosh(c*x) + a*x^3)/(e*x^2 + d), x)","F",0
491,0,0,0,0.751360," ","integrate(x^2*(a+b*arccosh(c*x))/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \operatorname{arcosh}\left(c x\right) + a x^{2}}{e x^{2} + d}, x\right)"," ",0,"integral((b*x^2*arccosh(c*x) + a*x^2)/(e*x^2 + d), x)","F",0
492,0,0,0,0.575015," ","integrate(x*(a+b*arccosh(c*x))/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x \operatorname{arcosh}\left(c x\right) + a x}{e x^{2} + d}, x\right)"," ",0,"integral((b*x*arccosh(c*x) + a*x)/(e*x^2 + d), x)","F",0
493,0,0,0,0.660119," ","integrate((a+b*arccosh(c*x))/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{e x^{2} + d}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(e*x^2 + d), x)","F",0
494,0,0,0,0.606744," ","integrate((a+b*arccosh(c*x))/x/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{e x^{3} + d x}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(e*x^3 + d*x), x)","F",0
495,0,0,0,0.563539," ","integrate((a+b*arccosh(c*x))/x^2/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{e x^{4} + d x^{2}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(e*x^4 + d*x^2), x)","F",0
496,0,0,0,0.524581," ","integrate((a+b*arccosh(c*x))/x^3/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{e x^{5} + d x^{3}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(e*x^5 + d*x^3), x)","F",0
497,0,0,0,0.557050," ","integrate((a+b*arccosh(c*x))/x^4/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{e x^{6} + d x^{4}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(e*x^6 + d*x^4), x)","F",0
498,0,0,0,0.662808," ","integrate(x^3*(a+b*arccosh(c*x))/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \operatorname{arcosh}\left(c x\right) + a x^{3}}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}, x\right)"," ",0,"integral((b*x^3*arccosh(c*x) + a*x^3)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
499,1,537,0,0.542216," ","integrate(x*(a+b*arccosh(c*x))/(e*x^2+d)^2,x, algorithm=""fricas"")","\left[-\frac{2 \, a c^{2} d^{2} - 2 \, {\left(b c^{2} d e + b e^{2}\right)} x^{2} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 2 \, a d e - {\left(b c e x^{2} + b c d\right)} \sqrt{c^{2} d^{2} + d e} \log\left(-\frac{2 \, c^{2} d^{2} - {\left(4 \, c^{4} d^{2} + 4 \, c^{2} d e + e^{2}\right)} x^{2} + d e - 2 \, \sqrt{c^{2} d^{2} + d e} {\left({\left(2 \, c^{3} d + c e\right)} x^{2} - c d\right)} - 2 \, \sqrt{c^{2} x^{2} - 1} {\left(\sqrt{c^{2} d^{2} + d e} {\left(2 \, c^{2} d + e\right)} x + 2 \, {\left(c^{3} d^{2} + c d e\right)} x\right)}}{e x^{2} + d}\right) - 2 \, {\left(b c^{2} d^{2} + b d e + {\left(b c^{2} d e + b e^{2}\right)} x^{2}\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right)}{4 \, {\left(c^{2} d^{3} e + d^{2} e^{2} + {\left(c^{2} d^{2} e^{2} + d e^{3}\right)} x^{2}\right)}}, -\frac{a c^{2} d^{2} - {\left(b c^{2} d e + b e^{2}\right)} x^{2} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + a d e - {\left(b c e x^{2} + b c d\right)} \sqrt{-c^{2} d^{2} - d e} \arctan\left(\frac{\sqrt{-c^{2} d^{2} - d e} \sqrt{c^{2} x^{2} - 1} e x - \sqrt{-c^{2} d^{2} - d e} {\left(c e x^{2} + c d\right)}}{c^{2} d^{2} + d e}\right) - {\left(b c^{2} d^{2} + b d e + {\left(b c^{2} d e + b e^{2}\right)} x^{2}\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right)}{2 \, {\left(c^{2} d^{3} e + d^{2} e^{2} + {\left(c^{2} d^{2} e^{2} + d e^{3}\right)} x^{2}\right)}}\right]"," ",0,"[-1/4*(2*a*c^2*d^2 - 2*(b*c^2*d*e + b*e^2)*x^2*log(c*x + sqrt(c^2*x^2 - 1)) + 2*a*d*e - (b*c*e*x^2 + b*c*d)*sqrt(c^2*d^2 + d*e)*log(-(2*c^2*d^2 - (4*c^4*d^2 + 4*c^2*d*e + e^2)*x^2 + d*e - 2*sqrt(c^2*d^2 + d*e)*((2*c^3*d + c*e)*x^2 - c*d) - 2*sqrt(c^2*x^2 - 1)*(sqrt(c^2*d^2 + d*e)*(2*c^2*d + e)*x + 2*(c^3*d^2 + c*d*e)*x))/(e*x^2 + d)) - 2*(b*c^2*d^2 + b*d*e + (b*c^2*d*e + b*e^2)*x^2)*log(-c*x + sqrt(c^2*x^2 - 1)))/(c^2*d^3*e + d^2*e^2 + (c^2*d^2*e^2 + d*e^3)*x^2), -1/2*(a*c^2*d^2 - (b*c^2*d*e + b*e^2)*x^2*log(c*x + sqrt(c^2*x^2 - 1)) + a*d*e - (b*c*e*x^2 + b*c*d)*sqrt(-c^2*d^2 - d*e)*arctan((sqrt(-c^2*d^2 - d*e)*sqrt(c^2*x^2 - 1)*e*x - sqrt(-c^2*d^2 - d*e)*(c*e*x^2 + c*d))/(c^2*d^2 + d*e)) - (b*c^2*d^2 + b*d*e + (b*c^2*d*e + b*e^2)*x^2)*log(-c*x + sqrt(c^2*x^2 - 1)))/(c^2*d^3*e + d^2*e^2 + (c^2*d^2*e^2 + d*e^3)*x^2)]","B",0
500,0,0,0,0.624101," ","integrate((a+b*arccosh(c*x))/x/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{e^{2} x^{5} + 2 \, d e x^{3} + d^{2} x}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(e^2*x^5 + 2*d*e*x^3 + d^2*x), x)","F",0
501,0,0,0,0.585626," ","integrate((a+b*arccosh(c*x))/x^3/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{e^{2} x^{7} + 2 \, d e x^{5} + d^{2} x^{3}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(e^2*x^7 + 2*d*e*x^5 + d^2*x^3), x)","F",0
502,0,0,0,0.702145," ","integrate(x^4*(a+b*arccosh(c*x))/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \operatorname{arcosh}\left(c x\right) + a x^{4}}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}, x\right)"," ",0,"integral((b*x^4*arccosh(c*x) + a*x^4)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
503,0,0,0,0.644619," ","integrate(x^2*(a+b*arccosh(c*x))/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \operatorname{arcosh}\left(c x\right) + a x^{2}}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}, x\right)"," ",0,"integral((b*x^2*arccosh(c*x) + a*x^2)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
504,0,0,0,0.594823," ","integrate((a+b*arccosh(c*x))/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
505,0,0,0,0.671528," ","integrate((a+b*arccosh(c*x))/x^2/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{e^{2} x^{6} + 2 \, d e x^{4} + d^{2} x^{2}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(e^2*x^6 + 2*d*e*x^4 + d^2*x^2), x)","F",0
506,0,0,0,0.619825," ","integrate(x^5*(a+b*arccosh(c*x))/(e*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{5} \operatorname{arcosh}\left(c x\right) + a x^{5}}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}, x\right)"," ",0,"integral((b*x^5*arccosh(c*x) + a*x^5)/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
507,1,1217,0,0.835799," ","integrate(x^3*(a+b*arccosh(c*x))/(e*x^2+d)^3,x, algorithm=""fricas"")","\left[-\frac{2 \, {\left(2 \, a - b\right)} c^{4} d^{4} + 2 \, {\left(4 \, a - b\right)} c^{2} d^{3} e - 4 \, {\left(b c^{4} d^{2} e^{2} + 2 \, b c^{2} d e^{3} + b e^{4}\right)} x^{4} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 4 \, a d^{2} e^{2} - 2 \, {\left(b c^{4} d^{2} e^{2} + b c^{2} d e^{3}\right)} x^{4} + 4 \, {\left({\left(2 \, a - b\right)} c^{4} d^{3} e + {\left(4 \, a - b\right)} c^{2} d^{2} e^{2} + 2 \, a d e^{3}\right)} x^{2} - {\left(2 \, b c^{3} d^{3} + 3 \, b c d^{2} e + {\left(2 \, b c^{3} d e^{2} + 3 \, b c e^{3}\right)} x^{4} + 2 \, {\left(2 \, b c^{3} d^{2} e + 3 \, b c d e^{2}\right)} x^{2}\right)} \sqrt{c^{2} d^{2} + d e} \log\left(-\frac{2 \, c^{2} d^{2} - {\left(4 \, c^{4} d^{2} + 4 \, c^{2} d e + e^{2}\right)} x^{2} + d e - 2 \, \sqrt{c^{2} d^{2} + d e} {\left({\left(2 \, c^{3} d + c e\right)} x^{2} - c d\right)} - 2 \, \sqrt{c^{2} x^{2} - 1} {\left(\sqrt{c^{2} d^{2} + d e} {\left(2 \, c^{2} d + e\right)} x + 2 \, {\left(c^{3} d^{2} + c d e\right)} x\right)}}{e x^{2} + d}\right) - 4 \, {\left(b c^{4} d^{4} + 2 \, b c^{2} d^{3} e + b d^{2} e^{2} + {\left(b c^{4} d^{2} e^{2} + 2 \, b c^{2} d e^{3} + b e^{4}\right)} x^{4} + 2 \, {\left(b c^{4} d^{3} e + 2 \, b c^{2} d^{2} e^{2} + b d e^{3}\right)} x^{2}\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) - 2 \, \sqrt{c^{2} x^{2} - 1} {\left({\left(b c^{3} d^{2} e^{2} + b c d e^{3}\right)} x^{3} + {\left(b c^{3} d^{3} e + b c d^{2} e^{2}\right)} x\right)}}{16 \, {\left(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}\right)}}, -\frac{{\left(2 \, a - b\right)} c^{4} d^{4} + {\left(4 \, a - b\right)} c^{2} d^{3} e - 2 \, {\left(b c^{4} d^{2} e^{2} + 2 \, b c^{2} d e^{3} + b e^{4}\right)} x^{4} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 2 \, a d^{2} e^{2} - {\left(b c^{4} d^{2} e^{2} + b c^{2} d e^{3}\right)} x^{4} + 2 \, {\left({\left(2 \, a - b\right)} c^{4} d^{3} e + {\left(4 \, a - b\right)} c^{2} d^{2} e^{2} + 2 \, a d e^{3}\right)} x^{2} - {\left(2 \, b c^{3} d^{3} + 3 \, b c d^{2} e + {\left(2 \, b c^{3} d e^{2} + 3 \, b c e^{3}\right)} x^{4} + 2 \, {\left(2 \, b c^{3} d^{2} e + 3 \, b c d e^{2}\right)} x^{2}\right)} \sqrt{-c^{2} d^{2} - d e} \arctan\left(\frac{\sqrt{-c^{2} d^{2} - d e} \sqrt{c^{2} x^{2} - 1} e x - \sqrt{-c^{2} d^{2} - d e} {\left(c e x^{2} + c d\right)}}{c^{2} d^{2} + d e}\right) - 2 \, {\left(b c^{4} d^{4} + 2 \, b c^{2} d^{3} e + b d^{2} e^{2} + {\left(b c^{4} d^{2} e^{2} + 2 \, b c^{2} d e^{3} + b e^{4}\right)} x^{4} + 2 \, {\left(b c^{4} d^{3} e + 2 \, b c^{2} d^{2} e^{2} + b d e^{3}\right)} x^{2}\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) - \sqrt{c^{2} x^{2} - 1} {\left({\left(b c^{3} d^{2} e^{2} + b c d e^{3}\right)} x^{3} + {\left(b c^{3} d^{3} e + b c d^{2} e^{2}\right)} x\right)}}{8 \, {\left(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}\right)}}\right]"," ",0,"[-1/16*(2*(2*a - b)*c^4*d^4 + 2*(4*a - b)*c^2*d^3*e - 4*(b*c^4*d^2*e^2 + 2*b*c^2*d*e^3 + b*e^4)*x^4*log(c*x + sqrt(c^2*x^2 - 1)) + 4*a*d^2*e^2 - 2*(b*c^4*d^2*e^2 + b*c^2*d*e^3)*x^4 + 4*((2*a - b)*c^4*d^3*e + (4*a - b)*c^2*d^2*e^2 + 2*a*d*e^3)*x^2 - (2*b*c^3*d^3 + 3*b*c*d^2*e + (2*b*c^3*d*e^2 + 3*b*c*e^3)*x^4 + 2*(2*b*c^3*d^2*e + 3*b*c*d*e^2)*x^2)*sqrt(c^2*d^2 + d*e)*log(-(2*c^2*d^2 - (4*c^4*d^2 + 4*c^2*d*e + e^2)*x^2 + d*e - 2*sqrt(c^2*d^2 + d*e)*((2*c^3*d + c*e)*x^2 - c*d) - 2*sqrt(c^2*x^2 - 1)*(sqrt(c^2*d^2 + d*e)*(2*c^2*d + e)*x + 2*(c^3*d^2 + c*d*e)*x))/(e*x^2 + d)) - 4*(b*c^4*d^4 + 2*b*c^2*d^3*e + b*d^2*e^2 + (b*c^4*d^2*e^2 + 2*b*c^2*d*e^3 + b*e^4)*x^4 + 2*(b*c^4*d^3*e + 2*b*c^2*d^2*e^2 + b*d*e^3)*x^2)*log(-c*x + sqrt(c^2*x^2 - 1)) - 2*sqrt(c^2*x^2 - 1)*((b*c^3*d^2*e^2 + b*c*d*e^3)*x^3 + (b*c^3*d^3*e + b*c*d^2*e^2)*x))/(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), -1/8*((2*a - b)*c^4*d^4 + (4*a - b)*c^2*d^3*e - 2*(b*c^4*d^2*e^2 + 2*b*c^2*d*e^3 + b*e^4)*x^4*log(c*x + sqrt(c^2*x^2 - 1)) + 2*a*d^2*e^2 - (b*c^4*d^2*e^2 + b*c^2*d*e^3)*x^4 + 2*((2*a - b)*c^4*d^3*e + (4*a - b)*c^2*d^2*e^2 + 2*a*d*e^3)*x^2 - (2*b*c^3*d^3 + 3*b*c*d^2*e + (2*b*c^3*d*e^2 + 3*b*c*e^3)*x^4 + 2*(2*b*c^3*d^2*e + 3*b*c*d*e^2)*x^2)*sqrt(-c^2*d^2 - d*e)*arctan((sqrt(-c^2*d^2 - d*e)*sqrt(c^2*x^2 - 1)*e*x - sqrt(-c^2*d^2 - d*e)*(c*e*x^2 + c*d))/(c^2*d^2 + d*e)) - 2*(b*c^4*d^4 + 2*b*c^2*d^3*e + b*d^2*e^2 + (b*c^4*d^2*e^2 + 2*b*c^2*d*e^3 + b*e^4)*x^4 + 2*(b*c^4*d^3*e + 2*b*c^2*d^2*e^2 + b*d*e^3)*x^2)*log(-c*x + sqrt(c^2*x^2 - 1)) - sqrt(c^2*x^2 - 1)*((b*c^3*d^2*e^2 + b*c*d*e^3)*x^3 + (b*c^3*d^3*e + b*c*d^2*e^2)*x))/(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)]","B",0
508,1,1233,0,1.235008," ","integrate(x*(a+b*arccosh(c*x))/(e*x^2+d)^3,x, algorithm=""fricas"")","\left[-\frac{2 \, {\left(2 \, a + b\right)} c^{4} d^{4} + 2 \, {\left(4 \, a + b\right)} c^{2} d^{3} e + 4 \, a d^{2} e^{2} + 2 \, {\left(b c^{4} d^{2} e^{2} + b c^{2} d e^{3}\right)} x^{4} + 4 \, {\left(b c^{4} d^{3} e + b c^{2} d^{2} e^{2}\right)} x^{2} - {\left(2 \, b c^{3} d^{3} + b c d^{2} e + {\left(2 \, b c^{3} d e^{2} + b c e^{3}\right)} x^{4} + 2 \, {\left(2 \, b c^{3} d^{2} e + b c d e^{2}\right)} x^{2}\right)} \sqrt{c^{2} d^{2} + d e} \log\left(-\frac{2 \, c^{2} d^{2} - {\left(4 \, c^{4} d^{2} + 4 \, c^{2} d e + e^{2}\right)} x^{2} + d e - 2 \, \sqrt{c^{2} d^{2} + d e} {\left({\left(2 \, c^{3} d + c e\right)} x^{2} - c d\right)} - 2 \, \sqrt{c^{2} x^{2} - 1} {\left(\sqrt{c^{2} d^{2} + d e} {\left(2 \, c^{2} d + e\right)} x + 2 \, {\left(c^{3} d^{2} + c d e\right)} x\right)}}{e x^{2} + d}\right) - 4 \, {\left({\left(b c^{4} d^{2} e^{2} + 2 \, b c^{2} d e^{3} + b e^{4}\right)} x^{4} + 2 \, {\left(b c^{4} d^{3} e + 2 \, b c^{2} d^{2} e^{2} + b d e^{3}\right)} x^{2}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 4 \, {\left(b c^{4} d^{4} + 2 \, b c^{2} d^{3} e + b d^{2} e^{2} + {\left(b c^{4} d^{2} e^{2} + 2 \, b c^{2} d e^{3} + b e^{4}\right)} x^{4} + 2 \, {\left(b c^{4} d^{3} e + 2 \, b c^{2} d^{2} e^{2} + b d e^{3}\right)} x^{2}\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + 2 \, \sqrt{c^{2} x^{2} - 1} {\left({\left(b c^{3} d^{2} e^{2} + b c d e^{3}\right)} x^{3} + {\left(b c^{3} d^{3} e + b c d^{2} e^{2}\right)} x\right)}}{16 \, {\left(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)}}, -\frac{{\left(2 \, a + b\right)} c^{4} d^{4} + {\left(4 \, a + b\right)} c^{2} d^{3} e + 2 \, a d^{2} e^{2} + {\left(b c^{4} d^{2} e^{2} + b c^{2} d e^{3}\right)} x^{4} + 2 \, {\left(b c^{4} d^{3} e + b c^{2} d^{2} e^{2}\right)} x^{2} - {\left(2 \, b c^{3} d^{3} + b c d^{2} e + {\left(2 \, b c^{3} d e^{2} + b c e^{3}\right)} x^{4} + 2 \, {\left(2 \, b c^{3} d^{2} e + b c d e^{2}\right)} x^{2}\right)} \sqrt{-c^{2} d^{2} - d e} \arctan\left(\frac{\sqrt{-c^{2} d^{2} - d e} \sqrt{c^{2} x^{2} - 1} e x - \sqrt{-c^{2} d^{2} - d e} {\left(c e x^{2} + c d\right)}}{c^{2} d^{2} + d e}\right) - 2 \, {\left({\left(b c^{4} d^{2} e^{2} + 2 \, b c^{2} d e^{3} + b e^{4}\right)} x^{4} + 2 \, {\left(b c^{4} d^{3} e + 2 \, b c^{2} d^{2} e^{2} + b d e^{3}\right)} x^{2}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 2 \, {\left(b c^{4} d^{4} + 2 \, b c^{2} d^{3} e + b d^{2} e^{2} + {\left(b c^{4} d^{2} e^{2} + 2 \, b c^{2} d e^{3} + b e^{4}\right)} x^{4} + 2 \, {\left(b c^{4} d^{3} e + 2 \, b c^{2} d^{2} e^{2} + b d e^{3}\right)} x^{2}\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + \sqrt{c^{2} x^{2} - 1} {\left({\left(b c^{3} d^{2} e^{2} + b c d e^{3}\right)} x^{3} + {\left(b c^{3} d^{3} e + b c d^{2} e^{2}\right)} x\right)}}{8 \, {\left(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)}}\right]"," ",0,"[-1/16*(2*(2*a + b)*c^4*d^4 + 2*(4*a + b)*c^2*d^3*e + 4*a*d^2*e^2 + 2*(b*c^4*d^2*e^2 + b*c^2*d*e^3)*x^4 + 4*(b*c^4*d^3*e + b*c^2*d^2*e^2)*x^2 - (2*b*c^3*d^3 + b*c*d^2*e + (2*b*c^3*d*e^2 + b*c*e^3)*x^4 + 2*(2*b*c^3*d^2*e + b*c*d*e^2)*x^2)*sqrt(c^2*d^2 + d*e)*log(-(2*c^2*d^2 - (4*c^4*d^2 + 4*c^2*d*e + e^2)*x^2 + d*e - 2*sqrt(c^2*d^2 + d*e)*((2*c^3*d + c*e)*x^2 - c*d) - 2*sqrt(c^2*x^2 - 1)*(sqrt(c^2*d^2 + d*e)*(2*c^2*d + e)*x + 2*(c^3*d^2 + c*d*e)*x))/(e*x^2 + d)) - 4*((b*c^4*d^2*e^2 + 2*b*c^2*d*e^3 + b*e^4)*x^4 + 2*(b*c^4*d^3*e + 2*b*c^2*d^2*e^2 + b*d*e^3)*x^2)*log(c*x + sqrt(c^2*x^2 - 1)) - 4*(b*c^4*d^4 + 2*b*c^2*d^3*e + b*d^2*e^2 + (b*c^4*d^2*e^2 + 2*b*c^2*d*e^3 + b*e^4)*x^4 + 2*(b*c^4*d^3*e + 2*b*c^2*d^2*e^2 + b*d*e^3)*x^2)*log(-c*x + sqrt(c^2*x^2 - 1)) + 2*sqrt(c^2*x^2 - 1)*((b*c^3*d^2*e^2 + b*c*d*e^3)*x^3 + (b*c^3*d^3*e + b*c*d^2*e^2)*x))/(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), -1/8*((2*a + b)*c^4*d^4 + (4*a + b)*c^2*d^3*e + 2*a*d^2*e^2 + (b*c^4*d^2*e^2 + b*c^2*d*e^3)*x^4 + 2*(b*c^4*d^3*e + b*c^2*d^2*e^2)*x^2 - (2*b*c^3*d^3 + b*c*d^2*e + (2*b*c^3*d*e^2 + b*c*e^3)*x^4 + 2*(2*b*c^3*d^2*e + b*c*d*e^2)*x^2)*sqrt(-c^2*d^2 - d*e)*arctan((sqrt(-c^2*d^2 - d*e)*sqrt(c^2*x^2 - 1)*e*x - sqrt(-c^2*d^2 - d*e)*(c*e*x^2 + c*d))/(c^2*d^2 + d*e)) - 2*((b*c^4*d^2*e^2 + 2*b*c^2*d*e^3 + b*e^4)*x^4 + 2*(b*c^4*d^3*e + 2*b*c^2*d^2*e^2 + b*d*e^3)*x^2)*log(c*x + sqrt(c^2*x^2 - 1)) - 2*(b*c^4*d^4 + 2*b*c^2*d^3*e + b*d^2*e^2 + (b*c^4*d^2*e^2 + 2*b*c^2*d*e^3 + b*e^4)*x^4 + 2*(b*c^4*d^3*e + 2*b*c^2*d^2*e^2 + b*d*e^3)*x^2)*log(-c*x + sqrt(c^2*x^2 - 1)) + sqrt(c^2*x^2 - 1)*((b*c^3*d^2*e^2 + b*c*d*e^3)*x^3 + (b*c^3*d^3*e + b*c*d^2*e^2)*x))/(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",0
509,0,0,0,0.677050," ","integrate((a+b*arccosh(c*x))/x/(e*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{e^{3} x^{7} + 3 \, d e^{2} x^{5} + 3 \, d^{2} e x^{3} + d^{3} x}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(e^3*x^7 + 3*d*e^2*x^5 + 3*d^2*e*x^3 + d^3*x), x)","F",0
510,0,0,0,0.839673," ","integrate((a+b*arccosh(c*x))/x^3/(e*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{e^{3} x^{9} + 3 \, d e^{2} x^{7} + 3 \, d^{2} e x^{5} + d^{3} x^{3}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(e^3*x^9 + 3*d*e^2*x^7 + 3*d^2*e*x^5 + d^3*x^3), x)","F",0
511,0,0,0,0.545205," ","integrate(x^4*(a+b*arccosh(c*x))/(e*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \operatorname{arcosh}\left(c x\right) + a x^{4}}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}, x\right)"," ",0,"integral((b*x^4*arccosh(c*x) + a*x^4)/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
512,0,0,0,0.651503," ","integrate(x^2*(a+b*arccosh(c*x))/(e*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \operatorname{arcosh}\left(c x\right) + a x^{2}}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}, x\right)"," ",0,"integral((b*x^2*arccosh(c*x) + a*x^2)/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
513,0,0,0,0.565111," ","integrate((a+b*arccosh(c*x))/(e*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
514,0,0,0,0.539209," ","integrate((a+b*arccosh(c*x))*(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{e x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}, x\right)"," ",0,"integral(sqrt(e*x^2 + d)*(b*arccosh(c*x) + a), x)","F",0
515,0,0,0,0.542425," ","integrate((a+b*arccosh(c*x))/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{\sqrt{e x^{2} + d}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/sqrt(e*x^2 + d), x)","F",0
516,1,332,0,1.434517," ","integrate((a+b*arccosh(c*x))/(e*x^2+d)^(3/2),x, algorithm=""fricas"")","\left[\frac{4 \, \sqrt{e x^{2} + d} b e x \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 4 \, \sqrt{e x^{2} + d} a e x + {\left(b e x^{2} + b d\right)} \sqrt{e} \log\left(8 \, c^{4} e^{2} x^{4} + c^{4} d^{2} - 6 \, c^{2} d e + 8 \, {\left(c^{4} d e - c^{2} e^{2}\right)} x^{2} - 4 \, {\left(2 \, c^{3} e x^{2} + c^{3} d - c e\right)} \sqrt{c^{2} x^{2} - 1} \sqrt{e x^{2} + d} \sqrt{e} + e^{2}\right)}{4 \, {\left(d e^{2} x^{2} + d^{2} e\right)}}, \frac{2 \, \sqrt{e x^{2} + d} b e x \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 2 \, \sqrt{e x^{2} + d} a e x + {\left(b e x^{2} + b d\right)} \sqrt{-e} \arctan\left(\frac{{\left(2 \, c^{2} e x^{2} + c^{2} d - e\right)} \sqrt{c^{2} x^{2} - 1} \sqrt{e x^{2} + d} \sqrt{-e}}{2 \, {\left(c^{3} e^{2} x^{4} - c d e + {\left(c^{3} d e - c e^{2}\right)} x^{2}\right)}}\right)}{2 \, {\left(d e^{2} x^{2} + d^{2} e\right)}}\right]"," ",0,"[1/4*(4*sqrt(e*x^2 + d)*b*e*x*log(c*x + sqrt(c^2*x^2 - 1)) + 4*sqrt(e*x^2 + d)*a*e*x + (b*e*x^2 + b*d)*sqrt(e)*log(8*c^4*e^2*x^4 + c^4*d^2 - 6*c^2*d*e + 8*(c^4*d*e - c^2*e^2)*x^2 - 4*(2*c^3*e*x^2 + c^3*d - c*e)*sqrt(c^2*x^2 - 1)*sqrt(e*x^2 + d)*sqrt(e) + e^2))/(d*e^2*x^2 + d^2*e), 1/2*(2*sqrt(e*x^2 + d)*b*e*x*log(c*x + sqrt(c^2*x^2 - 1)) + 2*sqrt(e*x^2 + d)*a*e*x + (b*e*x^2 + b*d)*sqrt(-e)*arctan(1/2*(2*c^2*e*x^2 + c^2*d - e)*sqrt(c^2*x^2 - 1)*sqrt(e*x^2 + d)*sqrt(-e)/(c^3*e^2*x^4 - c*d*e + (c^3*d*e - c*e^2)*x^2)))/(d*e^2*x^2 + d^2*e)]","A",0
517,1,724,0,0.870426," ","integrate((a+b*arccosh(c*x))/(e*x^2+d)^(5/2),x, algorithm=""fricas"")","\left[\frac{{\left(b c^{2} d^{3} + {\left(b c^{2} d e^{2} + b e^{3}\right)} x^{4} + b d^{2} e + 2 \, {\left(b c^{2} d^{2} e + b d e^{2}\right)} x^{2}\right)} \sqrt{e} \log\left(8 \, c^{4} e^{2} x^{4} + c^{4} d^{2} - 6 \, c^{2} d e + 8 \, {\left(c^{4} d e - c^{2} e^{2}\right)} x^{2} - 4 \, {\left(2 \, c^{3} e x^{2} + c^{3} d - c e\right)} \sqrt{c^{2} x^{2} - 1} \sqrt{e x^{2} + d} \sqrt{e} + e^{2}\right) + 2 \, {\left(2 \, {\left(b c^{2} d e^{2} + b e^{3}\right)} x^{3} + 3 \, {\left(b c^{2} d^{2} e + b d e^{2}\right)} x\right)} \sqrt{e x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 2 \, {\left(2 \, {\left(a c^{2} d e^{2} + a e^{3}\right)} x^{3} + 3 \, {\left(a c^{2} d^{2} e + a d e^{2}\right)} x - {\left(b c d e^{2} x^{2} + b c d^{2} e\right)} \sqrt{c^{2} x^{2} - 1}\right)} \sqrt{e x^{2} + d}}{6 \, {\left(c^{2} d^{5} e + d^{4} e^{2} + {\left(c^{2} d^{3} e^{3} + d^{2} e^{4}\right)} x^{4} + 2 \, {\left(c^{2} d^{4} e^{2} + d^{3} e^{3}\right)} x^{2}\right)}}, \frac{{\left(b c^{2} d^{3} + {\left(b c^{2} d e^{2} + b e^{3}\right)} x^{4} + b d^{2} e + 2 \, {\left(b c^{2} d^{2} e + b d e^{2}\right)} x^{2}\right)} \sqrt{-e} \arctan\left(\frac{{\left(2 \, c^{2} e x^{2} + c^{2} d - e\right)} \sqrt{c^{2} x^{2} - 1} \sqrt{e x^{2} + d} \sqrt{-e}}{2 \, {\left(c^{3} e^{2} x^{4} - c d e + {\left(c^{3} d e - c e^{2}\right)} x^{2}\right)}}\right) + {\left(2 \, {\left(b c^{2} d e^{2} + b e^{3}\right)} x^{3} + 3 \, {\left(b c^{2} d^{2} e + b d e^{2}\right)} x\right)} \sqrt{e x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(2 \, {\left(a c^{2} d e^{2} + a e^{3}\right)} x^{3} + 3 \, {\left(a c^{2} d^{2} e + a d e^{2}\right)} x - {\left(b c d e^{2} x^{2} + b c d^{2} e\right)} \sqrt{c^{2} x^{2} - 1}\right)} \sqrt{e x^{2} + d}}{3 \, {\left(c^{2} d^{5} e + d^{4} e^{2} + {\left(c^{2} d^{3} e^{3} + d^{2} e^{4}\right)} x^{4} + 2 \, {\left(c^{2} d^{4} e^{2} + d^{3} e^{3}\right)} x^{2}\right)}}\right]"," ",0,"[1/6*((b*c^2*d^3 + (b*c^2*d*e^2 + b*e^3)*x^4 + b*d^2*e + 2*(b*c^2*d^2*e + b*d*e^2)*x^2)*sqrt(e)*log(8*c^4*e^2*x^4 + c^4*d^2 - 6*c^2*d*e + 8*(c^4*d*e - c^2*e^2)*x^2 - 4*(2*c^3*e*x^2 + c^3*d - c*e)*sqrt(c^2*x^2 - 1)*sqrt(e*x^2 + d)*sqrt(e) + e^2) + 2*(2*(b*c^2*d*e^2 + b*e^3)*x^3 + 3*(b*c^2*d^2*e + b*d*e^2)*x)*sqrt(e*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + 2*(2*(a*c^2*d*e^2 + a*e^3)*x^3 + 3*(a*c^2*d^2*e + a*d*e^2)*x - (b*c*d*e^2*x^2 + b*c*d^2*e)*sqrt(c^2*x^2 - 1))*sqrt(e*x^2 + d))/(c^2*d^5*e + d^4*e^2 + (c^2*d^3*e^3 + d^2*e^4)*x^4 + 2*(c^2*d^4*e^2 + d^3*e^3)*x^2), 1/3*((b*c^2*d^3 + (b*c^2*d*e^2 + b*e^3)*x^4 + b*d^2*e + 2*(b*c^2*d^2*e + b*d*e^2)*x^2)*sqrt(-e)*arctan(1/2*(2*c^2*e*x^2 + c^2*d - e)*sqrt(c^2*x^2 - 1)*sqrt(e*x^2 + d)*sqrt(-e)/(c^3*e^2*x^4 - c*d*e + (c^3*d*e - c*e^2)*x^2)) + (2*(b*c^2*d*e^2 + b*e^3)*x^3 + 3*(b*c^2*d^2*e + b*d*e^2)*x)*sqrt(e*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + (2*(a*c^2*d*e^2 + a*e^3)*x^3 + 3*(a*c^2*d^2*e + a*d*e^2)*x - (b*c*d*e^2*x^2 + b*c*d^2*e)*sqrt(c^2*x^2 - 1))*sqrt(e*x^2 + d))/(c^2*d^5*e + d^4*e^2 + (c^2*d^3*e^3 + d^2*e^4)*x^4 + 2*(c^2*d^4*e^2 + d^3*e^3)*x^2)]","B",0
518,1,1360,0,0.826614," ","integrate((a+b*arccosh(c*x))/(e*x^2+d)^(7/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(b c^{4} d^{5} + 2 \, b c^{2} d^{4} e + {\left(b c^{4} d^{2} e^{3} + 2 \, b c^{2} d e^{4} + b e^{5}\right)} x^{6} + b d^{3} e^{2} + 3 \, {\left(b c^{4} d^{3} e^{2} + 2 \, b c^{2} d^{2} e^{3} + b d e^{4}\right)} x^{4} + 3 \, {\left(b c^{4} d^{4} e + 2 \, b c^{2} d^{3} e^{2} + b d^{2} e^{3}\right)} x^{2}\right)} \sqrt{e} \log\left(8 \, c^{4} e^{2} x^{4} + c^{4} d^{2} - 6 \, c^{2} d e + 8 \, {\left(c^{4} d e - c^{2} e^{2}\right)} x^{2} - 4 \, {\left(2 \, c^{3} e x^{2} + c^{3} d - c e\right)} \sqrt{c^{2} x^{2} - 1} \sqrt{e x^{2} + d} \sqrt{e} + e^{2}\right) + {\left(8 \, {\left(b c^{4} d^{2} e^{3} + 2 \, b c^{2} d e^{4} + b e^{5}\right)} x^{5} + 20 \, {\left(b c^{4} d^{3} e^{2} + 2 \, b c^{2} d^{2} e^{3} + b d e^{4}\right)} x^{3} + 15 \, {\left(b c^{4} d^{4} e + 2 \, b c^{2} d^{3} e^{2} + b d^{2} e^{3}\right)} x\right)} \sqrt{e x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(8 \, {\left(a c^{4} d^{2} e^{3} + 2 \, a c^{2} d e^{4} + a e^{5}\right)} x^{5} + 20 \, {\left(a c^{4} d^{3} e^{2} + 2 \, a c^{2} d^{2} e^{3} + a d e^{4}\right)} x^{3} + 15 \, {\left(a c^{4} d^{4} e + 2 \, a c^{2} d^{3} e^{2} + a d^{2} e^{3}\right)} x - {\left(7 \, b c^{3} d^{4} e + 5 \, b c d^{3} e^{2} + 2 \, {\left(3 \, b c^{3} d^{2} e^{3} + 2 \, b c d e^{4}\right)} x^{4} + {\left(13 \, b c^{3} d^{3} e^{2} + 9 \, b c d^{2} e^{3}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} - 1}\right)} \sqrt{e x^{2} + d}}{15 \, {\left(c^{4} d^{8} e + 2 \, c^{2} d^{7} e^{2} + d^{6} e^{3} + {\left(c^{4} d^{5} e^{4} + 2 \, c^{2} d^{4} e^{5} + d^{3} e^{6}\right)} x^{6} + 3 \, {\left(c^{4} d^{6} e^{3} + 2 \, c^{2} d^{5} e^{4} + d^{4} e^{5}\right)} x^{4} + 3 \, {\left(c^{4} d^{7} e^{2} + 2 \, c^{2} d^{6} e^{3} + d^{5} e^{4}\right)} x^{2}\right)}}, \frac{4 \, {\left(b c^{4} d^{5} + 2 \, b c^{2} d^{4} e + {\left(b c^{4} d^{2} e^{3} + 2 \, b c^{2} d e^{4} + b e^{5}\right)} x^{6} + b d^{3} e^{2} + 3 \, {\left(b c^{4} d^{3} e^{2} + 2 \, b c^{2} d^{2} e^{3} + b d e^{4}\right)} x^{4} + 3 \, {\left(b c^{4} d^{4} e + 2 \, b c^{2} d^{3} e^{2} + b d^{2} e^{3}\right)} x^{2}\right)} \sqrt{-e} \arctan\left(\frac{{\left(2 \, c^{2} e x^{2} + c^{2} d - e\right)} \sqrt{c^{2} x^{2} - 1} \sqrt{e x^{2} + d} \sqrt{-e}}{2 \, {\left(c^{3} e^{2} x^{4} - c d e + {\left(c^{3} d e - c e^{2}\right)} x^{2}\right)}}\right) + {\left(8 \, {\left(b c^{4} d^{2} e^{3} + 2 \, b c^{2} d e^{4} + b e^{5}\right)} x^{5} + 20 \, {\left(b c^{4} d^{3} e^{2} + 2 \, b c^{2} d^{2} e^{3} + b d e^{4}\right)} x^{3} + 15 \, {\left(b c^{4} d^{4} e + 2 \, b c^{2} d^{3} e^{2} + b d^{2} e^{3}\right)} x\right)} \sqrt{e x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(8 \, {\left(a c^{4} d^{2} e^{3} + 2 \, a c^{2} d e^{4} + a e^{5}\right)} x^{5} + 20 \, {\left(a c^{4} d^{3} e^{2} + 2 \, a c^{2} d^{2} e^{3} + a d e^{4}\right)} x^{3} + 15 \, {\left(a c^{4} d^{4} e + 2 \, a c^{2} d^{3} e^{2} + a d^{2} e^{3}\right)} x - {\left(7 \, b c^{3} d^{4} e + 5 \, b c d^{3} e^{2} + 2 \, {\left(3 \, b c^{3} d^{2} e^{3} + 2 \, b c d e^{4}\right)} x^{4} + {\left(13 \, b c^{3} d^{3} e^{2} + 9 \, b c d^{2} e^{3}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} - 1}\right)} \sqrt{e x^{2} + d}}{15 \, {\left(c^{4} d^{8} e + 2 \, c^{2} d^{7} e^{2} + d^{6} e^{3} + {\left(c^{4} d^{5} e^{4} + 2 \, c^{2} d^{4} e^{5} + d^{3} e^{6}\right)} x^{6} + 3 \, {\left(c^{4} d^{6} e^{3} + 2 \, c^{2} d^{5} e^{4} + d^{4} e^{5}\right)} x^{4} + 3 \, {\left(c^{4} d^{7} e^{2} + 2 \, c^{2} d^{6} e^{3} + d^{5} e^{4}\right)} x^{2}\right)}}\right]"," ",0,"[1/15*(2*(b*c^4*d^5 + 2*b*c^2*d^4*e + (b*c^4*d^2*e^3 + 2*b*c^2*d*e^4 + b*e^5)*x^6 + b*d^3*e^2 + 3*(b*c^4*d^3*e^2 + 2*b*c^2*d^2*e^3 + b*d*e^4)*x^4 + 3*(b*c^4*d^4*e + 2*b*c^2*d^3*e^2 + b*d^2*e^3)*x^2)*sqrt(e)*log(8*c^4*e^2*x^4 + c^4*d^2 - 6*c^2*d*e + 8*(c^4*d*e - c^2*e^2)*x^2 - 4*(2*c^3*e*x^2 + c^3*d - c*e)*sqrt(c^2*x^2 - 1)*sqrt(e*x^2 + d)*sqrt(e) + e^2) + (8*(b*c^4*d^2*e^3 + 2*b*c^2*d*e^4 + b*e^5)*x^5 + 20*(b*c^4*d^3*e^2 + 2*b*c^2*d^2*e^3 + b*d*e^4)*x^3 + 15*(b*c^4*d^4*e + 2*b*c^2*d^3*e^2 + b*d^2*e^3)*x)*sqrt(e*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + (8*(a*c^4*d^2*e^3 + 2*a*c^2*d*e^4 + a*e^5)*x^5 + 20*(a*c^4*d^3*e^2 + 2*a*c^2*d^2*e^3 + a*d*e^4)*x^3 + 15*(a*c^4*d^4*e + 2*a*c^2*d^3*e^2 + a*d^2*e^3)*x - (7*b*c^3*d^4*e + 5*b*c*d^3*e^2 + 2*(3*b*c^3*d^2*e^3 + 2*b*c*d*e^4)*x^4 + (13*b*c^3*d^3*e^2 + 9*b*c*d^2*e^3)*x^2)*sqrt(c^2*x^2 - 1))*sqrt(e*x^2 + d))/(c^4*d^8*e + 2*c^2*d^7*e^2 + d^6*e^3 + (c^4*d^5*e^4 + 2*c^2*d^4*e^5 + d^3*e^6)*x^6 + 3*(c^4*d^6*e^3 + 2*c^2*d^5*e^4 + d^4*e^5)*x^4 + 3*(c^4*d^7*e^2 + 2*c^2*d^6*e^3 + d^5*e^4)*x^2), 1/15*(4*(b*c^4*d^5 + 2*b*c^2*d^4*e + (b*c^4*d^2*e^3 + 2*b*c^2*d*e^4 + b*e^5)*x^6 + b*d^3*e^2 + 3*(b*c^4*d^3*e^2 + 2*b*c^2*d^2*e^3 + b*d*e^4)*x^4 + 3*(b*c^4*d^4*e + 2*b*c^2*d^3*e^2 + b*d^2*e^3)*x^2)*sqrt(-e)*arctan(1/2*(2*c^2*e*x^2 + c^2*d - e)*sqrt(c^2*x^2 - 1)*sqrt(e*x^2 + d)*sqrt(-e)/(c^3*e^2*x^4 - c*d*e + (c^3*d*e - c*e^2)*x^2)) + (8*(b*c^4*d^2*e^3 + 2*b*c^2*d*e^4 + b*e^5)*x^5 + 20*(b*c^4*d^3*e^2 + 2*b*c^2*d^2*e^3 + b*d*e^4)*x^3 + 15*(b*c^4*d^4*e + 2*b*c^2*d^3*e^2 + b*d^2*e^3)*x)*sqrt(e*x^2 + d)*log(c*x + sqrt(c^2*x^2 - 1)) + (8*(a*c^4*d^2*e^3 + 2*a*c^2*d*e^4 + a*e^5)*x^5 + 20*(a*c^4*d^3*e^2 + 2*a*c^2*d^2*e^3 + a*d*e^4)*x^3 + 15*(a*c^4*d^4*e + 2*a*c^2*d^3*e^2 + a*d^2*e^3)*x - (7*b*c^3*d^4*e + 5*b*c*d^3*e^2 + 2*(3*b*c^3*d^2*e^3 + 2*b*c*d*e^4)*x^4 + (13*b*c^3*d^3*e^2 + 9*b*c*d^2*e^3)*x^2)*sqrt(c^2*x^2 - 1))*sqrt(e*x^2 + d))/(c^4*d^8*e + 2*c^2*d^7*e^2 + d^6*e^3 + (c^4*d^5*e^4 + 2*c^2*d^4*e^5 + d^3*e^6)*x^6 + 3*(c^4*d^6*e^3 + 2*c^2*d^5*e^4 + d^4*e^5)*x^4 + 3*(c^4*d^7*e^2 + 2*c^2*d^6*e^3 + d^5*e^4)*x^2)]","B",0
519,0,0,0,0.714985," ","integrate((f*x)^m*(e*x^2+d)^3*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a e^{3} x^{6} + 3 \, a d e^{2} x^{4} + 3 \, a d^{2} e x^{2} + a d^{3} + {\left(b e^{3} x^{6} + 3 \, b d e^{2} x^{4} + 3 \, b d^{2} e x^{2} + b d^{3}\right)} \operatorname{arcosh}\left(c x\right)\right)} \left(f x\right)^{m}, x\right)"," ",0,"integral((a*e^3*x^6 + 3*a*d*e^2*x^4 + 3*a*d^2*e*x^2 + a*d^3 + (b*e^3*x^6 + 3*b*d*e^2*x^4 + 3*b*d^2*e*x^2 + b*d^3)*arccosh(c*x))*(f*x)^m, x)","F",0
520,0,0,0,0.656820," ","integrate((f*x)^m*(e*x^2+d)^2*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a e^{2} x^{4} + 2 \, a d e x^{2} + a d^{2} + {\left(b e^{2} x^{4} + 2 \, b d e x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \left(f x\right)^{m}, x\right)"," ",0,"integral((a*e^2*x^4 + 2*a*d*e*x^2 + a*d^2 + (b*e^2*x^4 + 2*b*d*e*x^2 + b*d^2)*arccosh(c*x))*(f*x)^m, x)","F",0
521,0,0,0,0.636773," ","integrate((f*x)^m*(e*x^2+d)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a e x^{2} + a d + {\left(b e x^{2} + b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \left(f x\right)^{m}, x\right)"," ",0,"integral((a*e*x^2 + a*d + (b*e*x^2 + b*d)*arccosh(c*x))*(f*x)^m, x)","F",0
522,0,0,0,0.477920," ","integrate((f*x)^m*(a+b*arccosh(c*x))/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \left(f x\right)^{m}}{e x^{2} + d}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)*(f*x)^m/(e*x^2 + d), x)","F",0
523,0,0,0,0.685386," ","integrate((f*x)^m*(a+b*arccosh(c*x))/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \left(f x\right)^{m}}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)*(f*x)^m/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
524,0,0,0,1.219773," ","integrate((f*x)^m*(a+b*arccosh(c*x))/(e*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \left(f x\right)^{m}}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)*(f*x)^m/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
525,1,586,0,0.595453," ","integrate((e*x^2+d)^3*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","\frac{1125 \, {\left(49 \, a^{2} + 2 \, b^{2}\right)} c^{7} e^{3} x^{7} + 189 \, {\left(49 \, {\left(25 \, a^{2} + 2 \, b^{2}\right)} c^{7} d e^{2} + 20 \, b^{2} c^{5} e^{3}\right)} x^{5} + 35 \, {\left(1225 \, {\left(9 \, a^{2} + 2 \, b^{2}\right)} c^{7} d^{2} e + 1176 \, b^{2} c^{5} d e^{2} + 240 \, b^{2} c^{3} e^{3}\right)} x^{3} + 11025 \, {\left(5 \, b^{2} c^{7} e^{3} x^{7} + 21 \, b^{2} c^{7} d e^{2} x^{5} + 35 \, b^{2} c^{7} d^{2} e x^{3} + 35 \, b^{2} c^{7} d^{3} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} + 105 \, {\left(3675 \, {\left(a^{2} + 2 \, b^{2}\right)} c^{7} d^{3} + 4900 \, b^{2} c^{5} d^{2} e + 2352 \, b^{2} c^{3} d e^{2} + 480 \, b^{2} c e^{3}\right)} x + 210 \, {\left(525 \, a b c^{7} e^{3} x^{7} + 2205 \, a b c^{7} d e^{2} x^{5} + 3675 \, a b c^{7} d^{2} e x^{3} + 3675 \, a b c^{7} d^{3} x - {\left(75 \, b^{2} c^{6} e^{3} x^{6} + 3675 \, b^{2} c^{6} d^{3} + 2450 \, b^{2} c^{4} d^{2} e + 1176 \, b^{2} c^{2} d e^{2} + 240 \, b^{2} e^{3} + 9 \, {\left(49 \, b^{2} c^{6} d e^{2} + 10 \, b^{2} c^{4} e^{3}\right)} x^{4} + {\left(1225 \, b^{2} c^{6} d^{2} e + 588 \, b^{2} c^{4} d e^{2} + 120 \, b^{2} c^{2} e^{3}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} - 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 210 \, {\left(75 \, a b c^{6} e^{3} x^{6} + 3675 \, a b c^{6} d^{3} + 2450 \, a b c^{4} d^{2} e + 1176 \, a b c^{2} d e^{2} + 240 \, a b e^{3} + 9 \, {\left(49 \, a b c^{6} d e^{2} + 10 \, a b c^{4} e^{3}\right)} x^{4} + {\left(1225 \, a b c^{6} d^{2} e + 588 \, a b c^{4} d e^{2} + 120 \, a b c^{2} e^{3}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{385875 \, c^{7}}"," ",0,"1/385875*(1125*(49*a^2 + 2*b^2)*c^7*e^3*x^7 + 189*(49*(25*a^2 + 2*b^2)*c^7*d*e^2 + 20*b^2*c^5*e^3)*x^5 + 35*(1225*(9*a^2 + 2*b^2)*c^7*d^2*e + 1176*b^2*c^5*d*e^2 + 240*b^2*c^3*e^3)*x^3 + 11025*(5*b^2*c^7*e^3*x^7 + 21*b^2*c^7*d*e^2*x^5 + 35*b^2*c^7*d^2*e*x^3 + 35*b^2*c^7*d^3*x)*log(c*x + sqrt(c^2*x^2 - 1))^2 + 105*(3675*(a^2 + 2*b^2)*c^7*d^3 + 4900*b^2*c^5*d^2*e + 2352*b^2*c^3*d*e^2 + 480*b^2*c*e^3)*x + 210*(525*a*b*c^7*e^3*x^7 + 2205*a*b*c^7*d*e^2*x^5 + 3675*a*b*c^7*d^2*e*x^3 + 3675*a*b*c^7*d^3*x - (75*b^2*c^6*e^3*x^6 + 3675*b^2*c^6*d^3 + 2450*b^2*c^4*d^2*e + 1176*b^2*c^2*d*e^2 + 240*b^2*e^3 + 9*(49*b^2*c^6*d*e^2 + 10*b^2*c^4*e^3)*x^4 + (1225*b^2*c^6*d^2*e + 588*b^2*c^4*d*e^2 + 120*b^2*c^2*e^3)*x^2)*sqrt(c^2*x^2 - 1))*log(c*x + sqrt(c^2*x^2 - 1)) - 210*(75*a*b*c^6*e^3*x^6 + 3675*a*b*c^6*d^3 + 2450*a*b*c^4*d^2*e + 1176*a*b*c^2*d*e^2 + 240*a*b*e^3 + 9*(49*a*b*c^6*d*e^2 + 10*a*b*c^4*e^3)*x^4 + (1225*a*b*c^6*d^2*e + 588*a*b*c^4*d*e^2 + 120*a*b*c^2*e^3)*x^2)*sqrt(c^2*x^2 - 1))/c^7","A",0
526,1,380,0,0.717340," ","integrate((e*x^2+d)^2*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","\frac{27 \, {\left(25 \, a^{2} + 2 \, b^{2}\right)} c^{5} e^{2} x^{5} + 10 \, {\left(25 \, {\left(9 \, a^{2} + 2 \, b^{2}\right)} c^{5} d e + 12 \, b^{2} c^{3} e^{2}\right)} x^{3} + 225 \, {\left(3 \, b^{2} c^{5} e^{2} x^{5} + 10 \, b^{2} c^{5} d e x^{3} + 15 \, b^{2} c^{5} d^{2} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} + 15 \, {\left(225 \, {\left(a^{2} + 2 \, b^{2}\right)} c^{5} d^{2} + 200 \, b^{2} c^{3} d e + 48 \, b^{2} c e^{2}\right)} x + 30 \, {\left(45 \, a b c^{5} e^{2} x^{5} + 150 \, a b c^{5} d e x^{3} + 225 \, a b c^{5} d^{2} x - {\left(9 \, b^{2} c^{4} e^{2} x^{4} + 225 \, b^{2} c^{4} d^{2} + 100 \, b^{2} c^{2} d e + 24 \, b^{2} e^{2} + 2 \, {\left(25 \, b^{2} c^{4} d e + 6 \, b^{2} c^{2} e^{2}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} - 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 30 \, {\left(9 \, a b c^{4} e^{2} x^{4} + 225 \, a b c^{4} d^{2} + 100 \, a b c^{2} d e + 24 \, a b e^{2} + 2 \, {\left(25 \, a b c^{4} d e + 6 \, a b c^{2} e^{2}\right)} x^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{3375 \, c^{5}}"," ",0,"1/3375*(27*(25*a^2 + 2*b^2)*c^5*e^2*x^5 + 10*(25*(9*a^2 + 2*b^2)*c^5*d*e + 12*b^2*c^3*e^2)*x^3 + 225*(3*b^2*c^5*e^2*x^5 + 10*b^2*c^5*d*e*x^3 + 15*b^2*c^5*d^2*x)*log(c*x + sqrt(c^2*x^2 - 1))^2 + 15*(225*(a^2 + 2*b^2)*c^5*d^2 + 200*b^2*c^3*d*e + 48*b^2*c*e^2)*x + 30*(45*a*b*c^5*e^2*x^5 + 150*a*b*c^5*d*e*x^3 + 225*a*b*c^5*d^2*x - (9*b^2*c^4*e^2*x^4 + 225*b^2*c^4*d^2 + 100*b^2*c^2*d*e + 24*b^2*e^2 + 2*(25*b^2*c^4*d*e + 6*b^2*c^2*e^2)*x^2)*sqrt(c^2*x^2 - 1))*log(c*x + sqrt(c^2*x^2 - 1)) - 30*(9*a*b*c^4*e^2*x^4 + 225*a*b*c^4*d^2 + 100*a*b*c^2*d*e + 24*a*b*e^2 + 2*(25*a*b*c^4*d*e + 6*a*b*c^2*e^2)*x^2)*sqrt(c^2*x^2 - 1))/c^5","A",0
527,1,209,0,0.665438," ","integrate((e*x^2+d)*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","\frac{{\left(9 \, a^{2} + 2 \, b^{2}\right)} c^{3} e x^{3} + 9 \, {\left(b^{2} c^{3} e x^{3} + 3 \, b^{2} c^{3} d x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} + 3 \, {\left(9 \, {\left(a^{2} + 2 \, b^{2}\right)} c^{3} d + 4 \, b^{2} c e\right)} x + 6 \, {\left(3 \, a b c^{3} e x^{3} + 9 \, a b c^{3} d x - {\left(b^{2} c^{2} e x^{2} + 9 \, b^{2} c^{2} d + 2 \, b^{2} e\right)} \sqrt{c^{2} x^{2} - 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 6 \, {\left(a b c^{2} e x^{2} + 9 \, a b c^{2} d + 2 \, a b e\right)} \sqrt{c^{2} x^{2} - 1}}{27 \, c^{3}}"," ",0,"1/27*((9*a^2 + 2*b^2)*c^3*e*x^3 + 9*(b^2*c^3*e*x^3 + 3*b^2*c^3*d*x)*log(c*x + sqrt(c^2*x^2 - 1))^2 + 3*(9*(a^2 + 2*b^2)*c^3*d + 4*b^2*c*e)*x + 6*(3*a*b*c^3*e*x^3 + 9*a*b*c^3*d*x - (b^2*c^2*e*x^2 + 9*b^2*c^2*d + 2*b^2*e)*sqrt(c^2*x^2 - 1))*log(c*x + sqrt(c^2*x^2 - 1)) - 6*(a*b*c^2*e*x^2 + 9*a*b*c^2*d + 2*a*b*e)*sqrt(c^2*x^2 - 1))/c^3","A",0
528,1,96,0,0.698496," ","integrate((a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","\frac{b^{2} c x \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} + {\left(a^{2} + 2 \, b^{2}\right)} c x - 2 \, \sqrt{c^{2} x^{2} - 1} a b + 2 \, {\left(a b c x - \sqrt{c^{2} x^{2} - 1} b^{2}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)}{c}"," ",0,"(b^2*c*x*log(c*x + sqrt(c^2*x^2 - 1))^2 + (a^2 + 2*b^2)*c*x - 2*sqrt(c^2*x^2 - 1)*a*b + 2*(a*b*c*x - sqrt(c^2*x^2 - 1)*b^2)*log(c*x + sqrt(c^2*x^2 - 1)))/c","B",0
529,0,0,0,0.657661," ","integrate((a+b*arccosh(c*x))^2/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}{e x^{2} + d}, x\right)"," ",0,"integral((b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(e*x^2 + d), x)","F",0
530,0,0,0,0.562545," ","integrate((a+b*arccosh(c*x))^2*(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)} \sqrt{e x^{2} + d}, x\right)"," ",0,"integral((b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)*sqrt(e*x^2 + d), x)","F",0
531,0,0,0,0.723543," ","integrate((a+b*arccosh(c*x))^2/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}{\sqrt{e x^{2} + d}}, x\right)"," ",0,"integral((b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/sqrt(e*x^2 + d), x)","F",0
532,0,0,0,0.571289," ","integrate((a+b*arccosh(c*x))^2/(e*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)} \sqrt{e x^{2} + d}}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}, x\right)"," ",0,"integral((b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)*sqrt(e*x^2 + d)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
533,0,0,0,0.612305," ","integrate((a+b*arccosh(c*x))^2/(e*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)} \sqrt{e x^{2} + d}}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}, x\right)"," ",0,"integral((b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)*sqrt(e*x^2 + d)/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
534,0,0,0,1.148170," ","integrate((e*x^2+d)^2/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral((e^2*x^4 + 2*d*e*x^2 + d^2)/(b*arccosh(c*x) + a), x)","F",0
535,0,0,0,0.814759," ","integrate((e*x^2+d)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x^{2} + d}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral((e*x^2 + d)/(b*arccosh(c*x) + a), x)","F",0
536,0,0,0,0.671712," ","integrate(1/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(1/(b*arccosh(c*x) + a), x)","F",0
537,0,0,0,0.667026," ","integrate(1/(e*x^2+d)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a e x^{2} + a d + {\left(b e x^{2} + b d\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(1/(a*e*x^2 + a*d + (b*e*x^2 + b*d)*arccosh(c*x)), x)","F",0
538,0,0,0,0.671811," ","integrate(1/(e*x^2+d)^2/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a e^{2} x^{4} + 2 \, a d e x^{2} + a d^{2} + {\left(b e^{2} x^{4} + 2 \, b d e x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(1/(a*e^2*x^4 + 2*a*d*e*x^2 + a*d^2 + (b*e^2*x^4 + 2*b*d*e*x^2 + b*d^2)*arccosh(c*x)), x)","F",0
539,0,0,0,0.579109," ","integrate((e*x^2+d)^(1/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(e*x^2 + d)/(b*arccosh(c*x) + a), x)","F",0
540,0,0,0,0.593768," ","integrate(1/(a+b*arccosh(c*x))/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d}}{a e x^{2} + a d + {\left(b e x^{2} + b d\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(e*x^2 + d)/(a*e*x^2 + a*d + (b*e*x^2 + b*d)*arccosh(c*x)), x)","F",0
541,0,0,0,1.203374," ","integrate(1/(e*x^2+d)^(3/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d}}{a e^{2} x^{4} + 2 \, a d e x^{2} + a d^{2} + {\left(b e^{2} x^{4} + 2 \, b d e x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(e*x^2 + d)/(a*e^2*x^4 + 2*a*d*e*x^2 + a*d^2 + (b*e^2*x^4 + 2*b*d*e*x^2 + b*d^2)*arccosh(c*x)), x)","F",0
542,0,0,0,0.454503," ","integrate(1/(e*x^2+d)^(5/2)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d}}{a e^{3} x^{6} + 3 \, a d e^{2} x^{4} + 3 \, a d^{2} e x^{2} + a d^{3} + {\left(b e^{3} x^{6} + 3 \, b d e^{2} x^{4} + 3 \, b d^{2} e x^{2} + b d^{3}\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(e*x^2 + d)/(a*e^3*x^6 + 3*a*d*e^2*x^4 + 3*a*d^2*e*x^2 + a*d^3 + (b*e^3*x^6 + 3*b*d*e^2*x^4 + 3*b*d^2*e*x^2 + b*d^3)*arccosh(c*x)), x)","F",0
543,0,0,0,0.624576," ","integrate((e*x^2+d)^2/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((e^2*x^4 + 2*d*e*x^2 + d^2)/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
544,0,0,0,0.546534," ","integrate((e*x^2+d)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x^{2} + d}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((e*x^2 + d)/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
545,0,0,0,0.635280," ","integrate(1/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(1/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
546,0,0,0,0.555562," ","integrate(1/(e*x^2+d)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} e x^{2} + a^{2} d + {\left(b^{2} e x^{2} + b^{2} d\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b e x^{2} + a b d\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(1/(a^2*e*x^2 + a^2*d + (b^2*e*x^2 + b^2*d)*arccosh(c*x)^2 + 2*(a*b*e*x^2 + a*b*d)*arccosh(c*x)), x)","F",0
547,0,0,0,0.780518," ","integrate(1/(e*x^2+d)^2/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} e^{2} x^{4} + 2 \, a^{2} d e x^{2} + a^{2} d^{2} + {\left(b^{2} e^{2} x^{4} + 2 \, b^{2} d e x^{2} + b^{2} d^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b e^{2} x^{4} + 2 \, a b d e x^{2} + a b d^{2}\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(1/(a^2*e^2*x^4 + 2*a^2*d*e*x^2 + a^2*d^2 + (b^2*e^2*x^4 + 2*b^2*d*e*x^2 + b^2*d^2)*arccosh(c*x)^2 + 2*(a*b*e^2*x^4 + 2*a*b*d*e*x^2 + a*b*d^2)*arccosh(c*x)), x)","F",0
548,0,0,0,0.823846," ","integrate((e*x^2+d)^(1/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d}}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(e*x^2 + d)/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
549,0,0,0,0.563814," ","integrate(1/(a+b*arccosh(c*x))^2/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d}}{a^{2} e x^{2} + a^{2} d + {\left(b^{2} e x^{2} + b^{2} d\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b e x^{2} + a b d\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(e*x^2 + d)/(a^2*e*x^2 + a^2*d + (b^2*e*x^2 + b^2*d)*arccosh(c*x)^2 + 2*(a*b*e*x^2 + a*b*d)*arccosh(c*x)), x)","F",0
550,0,0,0,0.722630," ","integrate(1/(e*x^2+d)^(3/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d}}{a^{2} e^{2} x^{4} + 2 \, a^{2} d e x^{2} + a^{2} d^{2} + {\left(b^{2} e^{2} x^{4} + 2 \, b^{2} d e x^{2} + b^{2} d^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b e^{2} x^{4} + 2 \, a b d e x^{2} + a b d^{2}\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(e*x^2 + d)/(a^2*e^2*x^4 + 2*a^2*d*e*x^2 + a^2*d^2 + (b^2*e^2*x^4 + 2*b^2*d*e*x^2 + b^2*d^2)*arccosh(c*x)^2 + 2*(a*b*e^2*x^4 + 2*a*b*d*e*x^2 + a*b*d^2)*arccosh(c*x)), x)","F",0
551,0,0,0,0.645797," ","integrate(1/(e*x^2+d)^(5/2)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d}}{a^{2} e^{3} x^{6} + 3 \, a^{2} d e^{2} x^{4} + 3 \, a^{2} d^{2} e x^{2} + a^{2} d^{3} + {\left(b^{2} e^{3} x^{6} + 3 \, b^{2} d e^{2} x^{4} + 3 \, b^{2} d^{2} e x^{2} + b^{2} d^{3}\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b e^{3} x^{6} + 3 \, a b d e^{2} x^{4} + 3 \, a b d^{2} e x^{2} + a b d^{3}\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(e*x^2 + d)/(a^2*e^3*x^6 + 3*a^2*d*e^2*x^4 + 3*a^2*d^2*e*x^2 + a^2*d^3 + (b^2*e^3*x^6 + 3*b^2*d*e^2*x^4 + 3*b^2*d^2*e*x^2 + b^2*d^3)*arccosh(c*x)^2 + 2*(a*b*e^3*x^6 + 3*a*b*d*e^2*x^4 + 3*a*b*d^2*e*x^2 + a*b*d^3)*arccosh(c*x)), x)","F",0
552,-2,0,0,0.000000," ","integrate((e*x^2+d)^2*(a+b*arccosh(c*x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
553,-2,0,0,0.000000," ","integrate((e*x^2+d)*(a+b*arccosh(c*x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
554,-2,0,0,0.000000," ","integrate((a+b*arccosh(c*x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
555,-2,0,0,0.000000," ","integrate((a+b*arccosh(c*x))^(1/2)/(e*x^2+d),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
556,-2,0,0,0.000000," ","integrate((a+b*arccosh(c*x))^(1/2)/(e*x^2+d)^2,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
557,-2,0,0,0.000000," ","integrate((e*x^2+d)*(a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
558,-2,0,0,0.000000," ","integrate((a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
559,-2,0,0,0.000000," ","integrate((a+b*arccosh(c*x))^(3/2)/(e*x^2+d),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
560,-2,0,0,0.000000," ","integrate((a+b*arccosh(c*x))^(3/2)/(e*x^2+d)^2,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
561,-2,0,0,0.000000," ","integrate((e*x^2+d)^2/(a+b*arccosh(c*x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
562,-2,0,0,0.000000," ","integrate((e*x^2+d)/(a+b*arccosh(c*x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
563,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(c*x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
564,-2,0,0,0.000000," ","integrate(1/(e*x^2+d)/(a+b*arccosh(c*x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
565,-2,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(a+b*arccosh(c*x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
566,-2,0,0,0.000000," ","integrate((e*x^2+d)/(a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
567,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
568,-2,0,0,0.000000," ","integrate(1/(e*x^2+d)/(a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
569,-2,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
