1,1,113,0,0.549386," ","integrate(x^4*(c^2*d*x^2+d)*(a+b*arcsinh(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
2,1,109,0,0.496966," ","integrate(x^3*(c^2*d*x^2+d)*(a+b*arcsinh(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
3,1,103,0,0.596828," ","integrate(x^2*(c^2*d*x^2+d)*(a+b*arcsinh(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
4,1,98,0,0.560068," ","integrate(x*(c^2*d*x^2+d)*(a+b*arcsinh(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
5,1,83,0,0.691191," ","integrate((c^2*d*x^2+d)*(a+b*arcsinh(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
6,0,0,0,0.634858," ","integrate((c^2*d*x^2+d)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))/x, x)","F",0
7,1,156,0,0.586791," ","integrate((c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x^2,x, algorithm=""fricas"")","\frac{a c^{2} d x^{2} - b c d x \log\left(-c x + \sqrt{c^{2} x^{2} + 1} + 1\right) + b c d x \log\left(-c x + \sqrt{c^{2} x^{2} + 1} - 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 - b*c*d*x*log(-c*x + sqrt(c^2*x^2 + 1) + 1) + b*c*d*x*log(-c*x + sqrt(c^2*x^2 + 1) - 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","B",0
8,0,0,0,0.642985," ","integrate((c^2*d*x^2+d)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))/x^3, x)","F",0
9,1,169,0,0.584441," ","integrate((c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x^4,x, algorithm=""fricas"")","-\frac{5 \, b c^{3} d x^{3} \log\left(-c x + \sqrt{c^{2} x^{2} + 1} + 1\right) - 5 \, b c^{3} d x^{3} \log\left(-c x + \sqrt{c^{2} x^{2} + 1} - 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*(5*b*c^3*d*x^3*log(-c*x + sqrt(c^2*x^2 + 1) + 1) - 5*b*c^3*d*x^3*log(-c*x + sqrt(c^2*x^2 + 1) - 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","B",0
10,1,165,0,0.716021," ","integrate(x^4*(c^2*d*x^2+d)^2*(a+b*arcsinh(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
11,1,161,0,0.579258," ","integrate(x^3*(c^2*d*x^2+d)^2*(a+b*arcsinh(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
12,1,153,0,0.646720," ","integrate(x^2*(c^2*d*x^2+d)^2*(a+b*arcsinh(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
13,1,149,0,0.866578," ","integrate(x*(c^2*d*x^2+d)^2*(a+b*arcsinh(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
14,1,133,0,0.517677," ","integrate((c^2*d*x^2+d)^2*(a+b*arcsinh(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
15,0,0,0,0.508541," ","integrate((c^2*d*x^2+d)^2*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))/x, x)","F",0
16,1,228,0,0.507918," ","integrate((c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))/x^2,x, algorithm=""fricas"")","\frac{3 \, a c^{4} d^{2} x^{4} + 18 \, a c^{2} d^{2} x^{2} - 9 \, b c d^{2} x \log\left(-c x + \sqrt{c^{2} x^{2} + 1} + 1\right) + 9 \, b c d^{2} x \log\left(-c x + \sqrt{c^{2} x^{2} + 1} - 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 - 9*b*c*d^2*x*log(-c*x + sqrt(c^2*x^2 + 1) + 1) + 9*b*c*d^2*x*log(-c*x + sqrt(c^2*x^2 + 1) - 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","B",0
17,0,0,0,0.600258," ","integrate((c^2*d*x^2+d)^2*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))/x^3, x)","F",0
18,1,243,0,0.707172," ","integrate((c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))/x^4,x, algorithm=""fricas"")","\frac{6 \, a c^{4} d^{2} x^{4} - 11 \, b c^{3} d^{2} x^{3} \log\left(-c x + \sqrt{c^{2} x^{2} + 1} + 1\right) + 11 \, b c^{3} d^{2} x^{3} \log\left(-c x + \sqrt{c^{2} x^{2} + 1} - 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 - 11*b*c^3*d^2*x^3*log(-c*x + sqrt(c^2*x^2 + 1) + 1) + 11*b*c^3*d^2*x^3*log(-c*x + sqrt(c^2*x^2 + 1) - 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","B",0
19,1,201,0,0.613824," ","integrate(x^4*(c^2*d*x^2+d)^3*(a+b*arcsinh(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
20,1,197,0,0.538983," ","integrate(x^3*(c^2*d*x^2+d)^3*(a+b*arcsinh(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
21,1,189,0,0.611790," ","integrate(x^2*(c^2*d*x^2+d)^3*(a+b*arcsinh(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
22,1,185,0,0.632326," ","integrate(x*(c^2*d*x^2+d)^3*(a+b*arcsinh(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
23,1,169,0,0.609877," ","integrate((c^2*d*x^2+d)^3*(a+b*arcsinh(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
24,0,0,0,0.632402," ","integrate((c^2*d*x^2+d)^3*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))/x, x)","F",0
25,1,276,0,0.671706," ","integrate((c^2*d*x^2+d)^3*(a+b*arcsinh(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} - 25 \, b c d^{3} x \log\left(-c x + \sqrt{c^{2} x^{2} + 1} + 1\right) + 25 \, b c d^{3} x \log\left(-c x + \sqrt{c^{2} x^{2} + 1} - 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 - 25*b*c*d^3*x*log(-c*x + sqrt(c^2*x^2 + 1) + 1) + 25*b*c*d^3*x*log(-c*x + sqrt(c^2*x^2 + 1) - 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
26,0,0,0,0.438990," ","integrate((c^2*d*x^2+d)^3*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))/x^3, x)","F",0
27,1,289,0,0.550393," ","integrate((c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))/x^4,x, algorithm=""fricas"")","\frac{6 \, a c^{6} d^{3} x^{6} + 54 \, a c^{4} d^{3} x^{4} - 51 \, b c^{3} d^{3} x^{3} \log\left(-c x + \sqrt{c^{2} x^{2} + 1} + 1\right) + 51 \, b c^{3} d^{3} x^{3} \log\left(-c x + \sqrt{c^{2} x^{2} + 1} - 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 - 51*b*c^3*d^3*x^3*log(-c*x + sqrt(c^2*x^2 + 1) + 1) + 51*b*c^3*d^3*x^3*log(-c*x + sqrt(c^2*x^2 + 1) - 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
28,0,0,0,0.542392," ","integrate(x^4*(a+b*arcsinh(c*x))/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \operatorname{arsinh}\left(c x\right) + a x^{4}}{c^{2} d x^{2} + d}, x\right)"," ",0,"integral((b*x^4*arcsinh(c*x) + a*x^4)/(c^2*d*x^2 + d), x)","F",0
29,0,0,0,0.501891," ","integrate(x^3*(a+b*arcsinh(c*x))/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \operatorname{arsinh}\left(c x\right) + a x^{3}}{c^{2} d x^{2} + d}, x\right)"," ",0,"integral((b*x^3*arcsinh(c*x) + a*x^3)/(c^2*d*x^2 + d), x)","F",0
30,0,0,0,0.577695," ","integrate(x^2*(a+b*arcsinh(c*x))/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \operatorname{arsinh}\left(c x\right) + a x^{2}}{c^{2} d x^{2} + d}, x\right)"," ",0,"integral((b*x^2*arcsinh(c*x) + a*x^2)/(c^2*d*x^2 + d), x)","F",0
31,0,0,0,0.589856," ","integrate(x*(a+b*arcsinh(c*x))/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x \operatorname{arsinh}\left(c x\right) + a x}{c^{2} d x^{2} + d}, x\right)"," ",0,"integral((b*x*arcsinh(c*x) + a*x)/(c^2*d*x^2 + d), x)","F",0
32,0,0,0,0.651636," ","integrate((a+b*arcsinh(c*x))/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\left(c x\right) + a}{c^{2} d x^{2} + d}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)/(c^2*d*x^2 + d), x)","F",0
33,0,0,0,0.761676," ","integrate((a+b*arcsinh(c*x))/x/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\left(c x\right) + a}{c^{2} d x^{3} + d x}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)/(c^2*d*x^3 + d*x), x)","F",0
34,0,0,0,0.541941," ","integrate((a+b*arcsinh(c*x))/x^2/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\left(c x\right) + a}{c^{2} d x^{4} + d x^{2}}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)/(c^2*d*x^4 + d*x^2), x)","F",0
35,0,0,0,0.544518," ","integrate((a+b*arcsinh(c*x))/x^3/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\left(c x\right) + a}{c^{2} d x^{5} + d x^{3}}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)/(c^2*d*x^5 + d*x^3), x)","F",0
36,0,0,0,0.681549," ","integrate((a+b*arcsinh(c*x))/x^4/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\left(c x\right) + a}{c^{2} d x^{6} + d x^{4}}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)/(c^2*d*x^6 + d*x^4), x)","F",0
37,0,0,0,0.534135," ","integrate(x^4*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \operatorname{arsinh}\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*arcsinh(c*x) + a*x^4)/(c^4*d^2*x^4 + 2*c^2*d^2*x^2 + d^2), x)","F",0
38,0,0,0,0.534069," ","integrate(x^3*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \operatorname{arsinh}\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*arcsinh(c*x) + a*x^3)/(c^4*d^2*x^4 + 2*c^2*d^2*x^2 + d^2), x)","F",0
39,0,0,0,0.567374," ","integrate(x^2*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \operatorname{arsinh}\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*arcsinh(c*x) + a*x^2)/(c^4*d^2*x^4 + 2*c^2*d^2*x^2 + d^2), x)","F",0
40,1,65,0,0.576682," ","integrate(x*(a+b*arcsinh(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
41,0,0,0,0.731195," ","integrate((a+b*arcsinh(c*x))/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\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*arcsinh(c*x) + a)/(c^4*d^2*x^4 + 2*c^2*d^2*x^2 + d^2), x)","F",0
42,0,0,0,0.556858," ","integrate((a+b*arcsinh(c*x))/x/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\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*arcsinh(c*x) + a)/(c^4*d^2*x^5 + 2*c^2*d^2*x^3 + d^2*x), x)","F",0
43,0,0,0,0.680611," ","integrate((a+b*arcsinh(c*x))/x^2/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\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*arcsinh(c*x) + a)/(c^4*d^2*x^6 + 2*c^2*d^2*x^4 + d^2*x^2), x)","F",0
44,0,0,0,0.649385," ","integrate((a+b*arcsinh(c*x))/x^3/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\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*arcsinh(c*x) + a)/(c^4*d^2*x^7 + 2*c^2*d^2*x^5 + d^2*x^3), x)","F",0
45,0,0,0,0.524494," ","integrate((a+b*arcsinh(c*x))/x^4/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\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*arcsinh(c*x) + a)/(c^4*d^2*x^8 + 2*c^2*d^2*x^6 + d^2*x^4), x)","F",0
46,0,0,0,0.518183," ","integrate(x^4*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \operatorname{arsinh}\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*arcsinh(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
47,1,99,0,0.540183," ","integrate(x^3*(a+b*arcsinh(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
48,0,0,0,0.607469," ","integrate(x^2*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \operatorname{arsinh}\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*arcsinh(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
49,1,98,0,0.675805," ","integrate(x*(a+b*arcsinh(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
50,0,0,0,0.595111," ","integrate((a+b*arcsinh(c*x))/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\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*arcsinh(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
51,0,0,0,0.624027," ","integrate((a+b*arcsinh(c*x))/x/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\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*arcsinh(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
52,0,0,0,0.624033," ","integrate((a+b*arcsinh(c*x))/x^2/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\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*arcsinh(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
53,0,0,0,0.511388," ","integrate((a+b*arcsinh(c*x))/x^3/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\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*arcsinh(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
54,0,0,0,0.695942," ","integrate((a+b*arcsinh(c*x))/x^4/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\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*arcsinh(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
55,1,158,0,0.560479," ","integrate(x^3*(a+b*arcsinh(c*x))*(pi*c^2*x^2+pi)^(1/2),x, algorithm=""fricas"")","\frac{15 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(3 \, b c^{6} x^{6} + 4 \, b c^{4} x^{4} - b c^{2} x^{2} - 2 \, b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{\pi + \pi c^{2} x^{2}} {\left(45 \, a c^{6} x^{6} + 60 \, a c^{4} x^{4} - 15 \, a c^{2} x^{2} - {\left(9 \, b c^{5} x^{5} + 5 \, b c^{3} x^{3} - 30 \, b c x\right)} \sqrt{c^{2} x^{2} + 1} - 30 \, a\right)}}{225 \, {\left(c^{6} x^{2} + c^{4}\right)}}"," ",0,"1/225*(15*sqrt(pi + pi*c^2*x^2)*(3*b*c^6*x^6 + 4*b*c^4*x^4 - b*c^2*x^2 - 2*b)*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(pi + pi*c^2*x^2)*(45*a*c^6*x^6 + 60*a*c^4*x^4 - 15*a*c^2*x^2 - (9*b*c^5*x^5 + 5*b*c^3*x^3 - 30*b*c*x)*sqrt(c^2*x^2 + 1) - 30*a))/(c^6*x^2 + c^4)","A",0
56,0,0,0,0.651154," ","integrate(x^2*(a+b*arcsinh(c*x))*(pi*c^2*x^2+pi)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\pi + \pi c^{2} x^{2}} {\left(b x^{2} \operatorname{arsinh}\left(c x\right) + a x^{2}\right)}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*x^2*arcsinh(c*x) + a*x^2), x)","F",0
57,1,127,0,0.686804," ","integrate(x*(a+b*arcsinh(c*x))*(pi*c^2*x^2+pi)^(1/2),x, algorithm=""fricas"")","\frac{3 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(b c^{4} x^{4} + 2 \, b c^{2} x^{2} + b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{\pi + \pi c^{2} x^{2}} {\left(3 \, a c^{4} x^{4} + 6 \, a c^{2} x^{2} - {\left(b c^{3} x^{3} + 3 \, b c x\right)} \sqrt{c^{2} x^{2} + 1} + 3 \, a\right)}}{9 \, {\left(c^{4} x^{2} + c^{2}\right)}}"," ",0,"1/9*(3*sqrt(pi + pi*c^2*x^2)*(b*c^4*x^4 + 2*b*c^2*x^2 + b)*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(pi + pi*c^2*x^2)*(3*a*c^4*x^4 + 6*a*c^2*x^2 - (b*c^3*x^3 + 3*b*c*x)*sqrt(c^2*x^2 + 1) + 3*a))/(c^4*x^2 + c^2)","B",0
58,0,0,0,0.512341," ","integrate((a+b*arcsinh(c*x))*(pi*c^2*x^2+pi)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a), x)","F",0
59,0,0,0,0.609397," ","integrate((a+b*arcsinh(c*x))*(pi*c^2*x^2+pi)^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}}{x}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a)/x, x)","F",0
60,0,0,0,0.672210," ","integrate((a+b*arcsinh(c*x))*(pi*c^2*x^2+pi)^(1/2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}}{x^{2}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a)/x^2, x)","F",0
61,0,0,0,0.659622," ","integrate((a+b*arcsinh(c*x))*(pi*c^2*x^2+pi)^(1/2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}}{x^{3}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a)/x^3, x)","F",0
62,1,217,0,0.765801," ","integrate((a+b*arcsinh(c*x))*(pi*c^2*x^2+pi)^(1/2)/x^4,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(b c^{4} x^{4} + 2 \, b c^{2} x^{2} + b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - \sqrt{\pi} {\left(b c^{5} x^{5} + b c^{3} x^{3}\right)} \log\left(\frac{\pi + \pi c^{2} x^{6} + \pi c^{2} x^{2} + \pi x^{4} + \sqrt{\pi} \sqrt{\pi + \pi c^{2} x^{2}} \sqrt{c^{2} x^{2} + 1} {\left(x^{4} - 1\right)}}{c^{2} x^{4} + x^{2}}\right) + \sqrt{\pi + \pi c^{2} x^{2}} {\left(2 \, a c^{4} x^{4} + 4 \, a c^{2} x^{2} - {\left(b c x^{3} - b c x\right)} \sqrt{c^{2} x^{2} + 1} + 2 \, a\right)}}{6 \, {\left(c^{2} x^{5} + x^{3}\right)}}"," ",0,"-1/6*(2*sqrt(pi + pi*c^2*x^2)*(b*c^4*x^4 + 2*b*c^2*x^2 + b)*log(c*x + sqrt(c^2*x^2 + 1)) - sqrt(pi)*(b*c^5*x^5 + b*c^3*x^3)*log((pi + pi*c^2*x^6 + pi*c^2*x^2 + pi*x^4 + sqrt(pi)*sqrt(pi + pi*c^2*x^2)*sqrt(c^2*x^2 + 1)*(x^4 - 1))/(c^2*x^4 + x^2)) + sqrt(pi + pi*c^2*x^2)*(2*a*c^4*x^4 + 4*a*c^2*x^2 - (b*c*x^3 - b*c*x)*sqrt(c^2*x^2 + 1) + 2*a))/(c^2*x^5 + x^3)","B",0
63,1,199,0,0.617396," ","integrate(x^3*(pi*c^2*x^2+pi)^(3/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","\frac{105 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(5 \, \pi b c^{8} x^{8} + 13 \, \pi b c^{6} x^{6} + 9 \, \pi b c^{4} x^{4} - \pi b c^{2} x^{2} - 2 \, \pi b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{\pi + \pi c^{2} x^{2}} {\left(525 \, \pi a c^{8} x^{8} + 1365 \, \pi a c^{6} x^{6} + 945 \, \pi a c^{4} x^{4} - 105 \, \pi a c^{2} x^{2} - 210 \, \pi a - {\left(75 \, \pi b c^{7} x^{7} + 168 \, \pi b c^{5} x^{5} + 35 \, \pi b c^{3} x^{3} - 210 \, \pi b c x\right)} \sqrt{c^{2} x^{2} + 1}\right)}}{3675 \, {\left(c^{6} x^{2} + c^{4}\right)}}"," ",0,"1/3675*(105*sqrt(pi + pi*c^2*x^2)*(5*pi*b*c^8*x^8 + 13*pi*b*c^6*x^6 + 9*pi*b*c^4*x^4 - pi*b*c^2*x^2 - 2*pi*b)*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(pi + pi*c^2*x^2)*(525*pi*a*c^8*x^8 + 1365*pi*a*c^6*x^6 + 945*pi*a*c^4*x^4 - 105*pi*a*c^2*x^2 - 210*pi*a - (75*pi*b*c^7*x^7 + 168*pi*b*c^5*x^5 + 35*pi*b*c^3*x^3 - 210*pi*b*c*x)*sqrt(c^2*x^2 + 1)))/(c^6*x^2 + c^4)","A",0
64,0,0,0,0.708246," ","integrate(x^2*(pi*c^2*x^2+pi)^(3/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi a c^{2} x^{4} + \pi a x^{2} + {\left(\pi b c^{2} x^{4} + \pi b x^{2}\right)} \operatorname{arsinh}\left(c x\right)\right)}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(pi*a*c^2*x^4 + pi*a*x^2 + (pi*b*c^2*x^4 + pi*b*x^2)*arcsinh(c*x)), x)","F",0
65,1,167,0,0.549778," ","integrate(x*(pi*c^2*x^2+pi)^(3/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","\frac{15 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi b c^{6} x^{6} + 3 \, \pi b c^{4} x^{4} + 3 \, \pi b c^{2} x^{2} + \pi b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{\pi + \pi c^{2} x^{2}} {\left(15 \, \pi a c^{6} x^{6} + 45 \, \pi a c^{4} x^{4} + 45 \, \pi a c^{2} x^{2} + 15 \, \pi a - {\left(3 \, \pi b c^{5} x^{5} + 10 \, \pi b c^{3} x^{3} + 15 \, \pi b c x\right)} \sqrt{c^{2} x^{2} + 1}\right)}}{75 \, {\left(c^{4} x^{2} + c^{2}\right)}}"," ",0,"1/75*(15*sqrt(pi + pi*c^2*x^2)*(pi*b*c^6*x^6 + 3*pi*b*c^4*x^4 + 3*pi*b*c^2*x^2 + pi*b)*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(pi + pi*c^2*x^2)*(15*pi*a*c^6*x^6 + 45*pi*a*c^4*x^4 + 45*pi*a*c^2*x^2 + 15*pi*a - (3*pi*b*c^5*x^5 + 10*pi*b*c^3*x^3 + 15*pi*b*c*x)*sqrt(c^2*x^2 + 1)))/(c^4*x^2 + c^2)","B",0
66,0,0,0,0.634168," ","integrate((pi*c^2*x^2+pi)^(3/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi a c^{2} x^{2} + \pi a + {\left(\pi b c^{2} x^{2} + \pi b\right)} \operatorname{arsinh}\left(c x\right)\right)}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(pi*a*c^2*x^2 + pi*a + (pi*b*c^2*x^2 + pi*b)*arcsinh(c*x)), x)","F",0
67,0,0,0,0.578995," ","integrate((pi*c^2*x^2+pi)^(3/2)*(a+b*arcsinh(c*x))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi a c^{2} x^{2} + \pi a + {\left(\pi b c^{2} x^{2} + \pi b\right)} \operatorname{arsinh}\left(c x\right)\right)}}{x}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(pi*a*c^2*x^2 + pi*a + (pi*b*c^2*x^2 + pi*b)*arcsinh(c*x))/x, x)","F",0
68,0,0,0,0.714287," ","integrate((pi*c^2*x^2+pi)^(3/2)*(a+b*arcsinh(c*x))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi a c^{2} x^{2} + \pi a + {\left(\pi b c^{2} x^{2} + \pi b\right)} \operatorname{arsinh}\left(c x\right)\right)}}{x^{2}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(pi*a*c^2*x^2 + pi*a + (pi*b*c^2*x^2 + pi*b)*arcsinh(c*x))/x^2, x)","F",0
69,0,0,0,0.513707," ","integrate((pi*c^2*x^2+pi)^(3/2)*(a+b*arcsinh(c*x))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi a c^{2} x^{2} + \pi a + {\left(\pi b c^{2} x^{2} + \pi b\right)} \operatorname{arsinh}\left(c x\right)\right)}}{x^{3}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(pi*a*c^2*x^2 + pi*a + (pi*b*c^2*x^2 + pi*b)*arcsinh(c*x))/x^3, x)","F",0
70,0,0,0,0.670674," ","integrate((pi*c^2*x^2+pi)^(3/2)*(a+b*arcsinh(c*x))/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi a c^{2} x^{2} + \pi a + {\left(\pi b c^{2} x^{2} + \pi b\right)} \operatorname{arsinh}\left(c x\right)\right)}}{x^{4}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(pi*a*c^2*x^2 + pi*a + (pi*b*c^2*x^2 + pi*b)*arcsinh(c*x))/x^4, x)","F",0
71,1,263,0,0.614684," ","integrate(x^3*(pi*c^2*x^2+pi)^(5/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","\frac{63 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(7 \, \pi^{2} b c^{10} x^{10} + 26 \, \pi^{2} b c^{8} x^{8} + 34 \, \pi^{2} b c^{6} x^{6} + 16 \, \pi^{2} b c^{4} x^{4} - \pi^{2} b c^{2} x^{2} - 2 \, \pi^{2} b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{\pi + \pi c^{2} x^{2}} {\left(441 \, \pi^{2} a c^{10} x^{10} + 1638 \, \pi^{2} a c^{8} x^{8} + 2142 \, \pi^{2} a c^{6} x^{6} + 1008 \, \pi^{2} a c^{4} x^{4} - 63 \, \pi^{2} a c^{2} x^{2} - 126 \, \pi^{2} a - {\left(49 \, \pi^{2} b c^{9} x^{9} + 171 \, \pi^{2} b c^{7} x^{7} + 189 \, \pi^{2} b c^{5} x^{5} + 21 \, \pi^{2} b c^{3} x^{3} - 126 \, \pi^{2} b c x\right)} \sqrt{c^{2} x^{2} + 1}\right)}}{3969 \, {\left(c^{6} x^{2} + c^{4}\right)}}"," ",0,"1/3969*(63*sqrt(pi + pi*c^2*x^2)*(7*pi^2*b*c^10*x^10 + 26*pi^2*b*c^8*x^8 + 34*pi^2*b*c^6*x^6 + 16*pi^2*b*c^4*x^4 - pi^2*b*c^2*x^2 - 2*pi^2*b)*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(pi + pi*c^2*x^2)*(441*pi^2*a*c^10*x^10 + 1638*pi^2*a*c^8*x^8 + 2142*pi^2*a*c^6*x^6 + 1008*pi^2*a*c^4*x^4 - 63*pi^2*a*c^2*x^2 - 126*pi^2*a - (49*pi^2*b*c^9*x^9 + 171*pi^2*b*c^7*x^7 + 189*pi^2*b*c^5*x^5 + 21*pi^2*b*c^3*x^3 - 126*pi^2*b*c*x)*sqrt(c^2*x^2 + 1)))/(c^6*x^2 + c^4)","B",0
72,0,0,0,0.749070," ","integrate(x^2*(pi*c^2*x^2+pi)^(5/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi^{2} a c^{4} x^{6} + 2 \, \pi^{2} a c^{2} x^{4} + \pi^{2} a x^{2} + {\left(\pi^{2} b c^{4} x^{6} + 2 \, \pi^{2} b c^{2} x^{4} + \pi^{2} b x^{2}\right)} \operatorname{arsinh}\left(c x\right)\right)}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(pi^2*a*c^4*x^6 + 2*pi^2*a*c^2*x^4 + pi^2*a*x^2 + (pi^2*b*c^4*x^6 + 2*pi^2*b*c^2*x^4 + pi^2*b*x^2)*arcsinh(c*x)), x)","F",0
73,1,225,0,0.609947," ","integrate(x*(pi*c^2*x^2+pi)^(5/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","\frac{35 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi^{2} b c^{8} x^{8} + 4 \, \pi^{2} b c^{6} x^{6} + 6 \, \pi^{2} b c^{4} x^{4} + 4 \, \pi^{2} b c^{2} x^{2} + \pi^{2} b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{\pi + \pi c^{2} x^{2}} {\left(35 \, \pi^{2} a c^{8} x^{8} + 140 \, \pi^{2} a c^{6} x^{6} + 210 \, \pi^{2} a c^{4} x^{4} + 140 \, \pi^{2} a c^{2} x^{2} + 35 \, \pi^{2} a - {\left(5 \, \pi^{2} b c^{7} x^{7} + 21 \, \pi^{2} b c^{5} x^{5} + 35 \, \pi^{2} b c^{3} x^{3} + 35 \, \pi^{2} b c x\right)} \sqrt{c^{2} x^{2} + 1}\right)}}{245 \, {\left(c^{4} x^{2} + c^{2}\right)}}"," ",0,"1/245*(35*sqrt(pi + pi*c^2*x^2)*(pi^2*b*c^8*x^8 + 4*pi^2*b*c^6*x^6 + 6*pi^2*b*c^4*x^4 + 4*pi^2*b*c^2*x^2 + pi^2*b)*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(pi + pi*c^2*x^2)*(35*pi^2*a*c^8*x^8 + 140*pi^2*a*c^6*x^6 + 210*pi^2*a*c^4*x^4 + 140*pi^2*a*c^2*x^2 + 35*pi^2*a - (5*pi^2*b*c^7*x^7 + 21*pi^2*b*c^5*x^5 + 35*pi^2*b*c^3*x^3 + 35*pi^2*b*c*x)*sqrt(c^2*x^2 + 1)))/(c^4*x^2 + c^2)","B",0
74,0,0,0,0.789269," ","integrate((pi*c^2*x^2+pi)^(5/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi^{2} a c^{4} x^{4} + 2 \, \pi^{2} a c^{2} x^{2} + \pi^{2} a + {\left(\pi^{2} b c^{4} x^{4} + 2 \, \pi^{2} b c^{2} x^{2} + \pi^{2} b\right)} \operatorname{arsinh}\left(c x\right)\right)}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(pi^2*a*c^4*x^4 + 2*pi^2*a*c^2*x^2 + pi^2*a + (pi^2*b*c^4*x^4 + 2*pi^2*b*c^2*x^2 + pi^2*b)*arcsinh(c*x)), x)","F",0
75,0,0,0,0.735587," ","integrate((pi*c^2*x^2+pi)^(5/2)*(a+b*arcsinh(c*x))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi^{2} a c^{4} x^{4} + 2 \, \pi^{2} a c^{2} x^{2} + \pi^{2} a + {\left(\pi^{2} b c^{4} x^{4} + 2 \, \pi^{2} b c^{2} x^{2} + \pi^{2} b\right)} \operatorname{arsinh}\left(c x\right)\right)}}{x}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(pi^2*a*c^4*x^4 + 2*pi^2*a*c^2*x^2 + pi^2*a + (pi^2*b*c^4*x^4 + 2*pi^2*b*c^2*x^2 + pi^2*b)*arcsinh(c*x))/x, x)","F",0
76,0,0,0,0.687582," ","integrate((pi*c^2*x^2+pi)^(5/2)*(a+b*arcsinh(c*x))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi^{2} a c^{4} x^{4} + 2 \, \pi^{2} a c^{2} x^{2} + \pi^{2} a + {\left(\pi^{2} b c^{4} x^{4} + 2 \, \pi^{2} b c^{2} x^{2} + \pi^{2} b\right)} \operatorname{arsinh}\left(c x\right)\right)}}{x^{2}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(pi^2*a*c^4*x^4 + 2*pi^2*a*c^2*x^2 + pi^2*a + (pi^2*b*c^4*x^4 + 2*pi^2*b*c^2*x^2 + pi^2*b)*arcsinh(c*x))/x^2, x)","F",0
77,0,0,0,0.663510," ","integrate((pi*c^2*x^2+pi)^(5/2)*(a+b*arcsinh(c*x))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi^{2} a c^{4} x^{4} + 2 \, \pi^{2} a c^{2} x^{2} + \pi^{2} a + {\left(\pi^{2} b c^{4} x^{4} + 2 \, \pi^{2} b c^{2} x^{2} + \pi^{2} b\right)} \operatorname{arsinh}\left(c x\right)\right)}}{x^{3}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(pi^2*a*c^4*x^4 + 2*pi^2*a*c^2*x^2 + pi^2*a + (pi^2*b*c^4*x^4 + 2*pi^2*b*c^2*x^2 + pi^2*b)*arcsinh(c*x))/x^3, x)","F",0
78,0,0,0,0.548894," ","integrate((pi*c^2*x^2+pi)^(5/2)*(a+b*arcsinh(c*x))/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi^{2} a c^{4} x^{4} + 2 \, \pi^{2} a c^{2} x^{2} + \pi^{2} a + {\left(\pi^{2} b c^{4} x^{4} + 2 \, \pi^{2} b c^{2} x^{2} + \pi^{2} b\right)} \operatorname{arsinh}\left(c x\right)\right)}}{x^{4}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(pi^2*a*c^4*x^4 + 2*pi^2*a*c^2*x^2 + pi^2*a + (pi^2*b*c^4*x^4 + 2*pi^2*b*c^2*x^2 + pi^2*b)*arcsinh(c*x))/x^4, x)","F",0
79,1,40,0,0.681194," ","integrate(arcsinh(x)*(x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{x^{2} + 1} x \log\left(x + \sqrt{x^{2} + 1}\right) - \frac{1}{4} \, x^{2} + \frac{1}{4} \, \log\left(x + \sqrt{x^{2} + 1}\right)^{2}"," ",0,"1/2*sqrt(x^2 + 1)*x*log(x + sqrt(x^2 + 1)) - 1/4*x^2 + 1/4*log(x + sqrt(x^2 + 1))^2","A",0
80,1,161,0,0.632952," ","integrate(x^5*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(1/2),x, algorithm=""fricas"")","\frac{15 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(3 \, b c^{6} x^{6} - b c^{4} x^{4} + 4 \, b c^{2} x^{2} + 8 \, b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{\pi + \pi c^{2} x^{2}} {\left(45 \, a c^{6} x^{6} - 15 \, a c^{4} x^{4} + 60 \, a c^{2} x^{2} - {\left(9 \, b c^{5} x^{5} - 20 \, b c^{3} x^{3} + 120 \, b c x\right)} \sqrt{c^{2} x^{2} + 1} + 120 \, a\right)}}{225 \, {\left(\pi c^{8} x^{2} + \pi c^{6}\right)}}"," ",0,"1/225*(15*sqrt(pi + pi*c^2*x^2)*(3*b*c^6*x^6 - b*c^4*x^4 + 4*b*c^2*x^2 + 8*b)*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(pi + pi*c^2*x^2)*(45*a*c^6*x^6 - 15*a*c^4*x^4 + 60*a*c^2*x^2 - (9*b*c^5*x^5 - 20*b*c^3*x^3 + 120*b*c*x)*sqrt(c^2*x^2 + 1) + 120*a))/(pi*c^8*x^2 + pi*c^6)","A",0
81,0,0,0,0.665067," ","integrate(x^4*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \operatorname{arsinh}\left(c x\right) + a x^{4}}{\sqrt{\pi + \pi c^{2} x^{2}}}, x\right)"," ",0,"integral((b*x^4*arcsinh(c*x) + a*x^4)/sqrt(pi + pi*c^2*x^2), x)","F",0
82,1,132,0,0.659412," ","integrate(x^3*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(1/2),x, algorithm=""fricas"")","\frac{3 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(b c^{4} x^{4} - b c^{2} x^{2} - 2 \, b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{\pi + \pi c^{2} x^{2}} {\left(3 \, a c^{4} x^{4} - 3 \, a c^{2} x^{2} - {\left(b c^{3} x^{3} - 6 \, b c x\right)} \sqrt{c^{2} x^{2} + 1} - 6 \, a\right)}}{9 \, {\left(\pi c^{6} x^{2} + \pi c^{4}\right)}}"," ",0,"1/9*(3*sqrt(pi + pi*c^2*x^2)*(b*c^4*x^4 - b*c^2*x^2 - 2*b)*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(pi + pi*c^2*x^2)*(3*a*c^4*x^4 - 3*a*c^2*x^2 - (b*c^3*x^3 - 6*b*c*x)*sqrt(c^2*x^2 + 1) - 6*a))/(pi*c^6*x^2 + pi*c^4)","A",0
83,0,0,0,0.563393," ","integrate(x^2*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \operatorname{arsinh}\left(c x\right) + a x^{2}}{\sqrt{\pi + \pi c^{2} x^{2}}}, x\right)"," ",0,"integral((b*x^2*arcsinh(c*x) + a*x^2)/sqrt(pi + pi*c^2*x^2), x)","F",0
84,1,96,0,0.601547," ","integrate(x*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b c^{2} x^{2} + b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{\pi + \pi c^{2} x^{2}} {\left(a c^{2} x^{2} - \sqrt{c^{2} x^{2} + 1} b c x + a\right)}}{\pi c^{4} x^{2} + \pi c^{2}}"," ",0,"(sqrt(pi + pi*c^2*x^2)*(b*c^2*x^2 + b)*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(pi + pi*c^2*x^2)*(a*c^2*x^2 - sqrt(c^2*x^2 + 1)*b*c*x + a))/(pi*c^4*x^2 + pi*c^2)","B",0
85,0,0,0,0.660337," ","integrate((a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\left(c x\right) + a}{\sqrt{\pi + \pi c^{2} x^{2}}}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)/sqrt(pi + pi*c^2*x^2), x)","F",0
86,0,0,0,0.488563," ","integrate((a+b*arcsinh(c*x))/x/(pi*c^2*x^2+pi)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}}{\pi c^{2} x^{3} + \pi x}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a)/(pi*c^2*x^3 + pi*x), x)","F",0
87,1,132,0,0.626795," ","integrate((a+b*arcsinh(c*x))/x^2/(pi*c^2*x^2+pi)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{\pi} b c x \log\left(\frac{\pi + \pi c^{2} x^{6} + \pi c^{2} x^{2} + \pi x^{4} + \sqrt{\pi} \sqrt{\pi + \pi c^{2} x^{2}} \sqrt{c^{2} x^{2} + 1} {\left(x^{4} - 1\right)}}{c^{2} x^{4} + x^{2}}\right) - 2 \, \sqrt{\pi + \pi c^{2} x^{2}} b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 2 \, \sqrt{\pi + \pi c^{2} x^{2}} a}{2 \, \pi x}"," ",0,"1/2*(sqrt(pi)*b*c*x*log((pi + pi*c^2*x^6 + pi*c^2*x^2 + pi*x^4 + sqrt(pi)*sqrt(pi + pi*c^2*x^2)*sqrt(c^2*x^2 + 1)*(x^4 - 1))/(c^2*x^4 + x^2)) - 2*sqrt(pi + pi*c^2*x^2)*b*log(c*x + sqrt(c^2*x^2 + 1)) - 2*sqrt(pi + pi*c^2*x^2)*a)/(pi*x)","B",0
88,0,0,0,0.605385," ","integrate((a+b*arcsinh(c*x))/x^3/(pi*c^2*x^2+pi)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}}{\pi c^{2} x^{5} + \pi x^{3}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a)/(pi*c^2*x^5 + pi*x^3), x)","F",0
89,1,222,0,0.583297," ","integrate((a+b*arcsinh(c*x))/x^4/(pi*c^2*x^2+pi)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(2 \, b c^{4} x^{4} + b c^{2} x^{2} - b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + 2 \, \sqrt{\pi} {\left(b c^{5} x^{5} + b c^{3} x^{3}\right)} \log\left(\frac{\pi + \pi c^{2} x^{6} + \pi c^{2} x^{2} + \pi x^{4} - \sqrt{\pi} \sqrt{\pi + \pi c^{2} x^{2}} \sqrt{c^{2} x^{2} + 1} {\left(x^{4} - 1\right)}}{c^{2} x^{4} + x^{2}}\right) + \sqrt{\pi + \pi c^{2} x^{2}} {\left(4 \, a c^{4} x^{4} + 2 \, a c^{2} x^{2} + {\left(b c x^{3} - b c x\right)} \sqrt{c^{2} x^{2} + 1} - 2 \, a\right)}}{6 \, {\left(\pi c^{2} x^{5} + \pi x^{3}\right)}}"," ",0,"1/6*(2*sqrt(pi + pi*c^2*x^2)*(2*b*c^4*x^4 + b*c^2*x^2 - b)*log(c*x + sqrt(c^2*x^2 + 1)) + 2*sqrt(pi)*(b*c^5*x^5 + b*c^3*x^3)*log((pi + pi*c^2*x^6 + pi*c^2*x^2 + pi*x^4 - sqrt(pi)*sqrt(pi + pi*c^2*x^2)*sqrt(c^2*x^2 + 1)*(x^4 - 1))/(c^2*x^4 + x^2)) + sqrt(pi + pi*c^2*x^2)*(4*a*c^4*x^4 + 2*a*c^2*x^2 + (b*c*x^3 - b*c*x)*sqrt(c^2*x^2 + 1) - 2*a))/(pi*c^2*x^5 + pi*x^3)","B",0
90,1,196,0,0.681221," ","integrate(x^5*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(3/2),x, algorithm=""fricas"")","-\frac{9 \, \sqrt{\pi} {\left(b c^{2} x^{2} + b\right)} \arctan\left(-\frac{2 \, \sqrt{\pi} \sqrt{\pi + \pi c^{2} x^{2}} \sqrt{c^{2} x^{2} + 1} c x}{\pi - \pi c^{4} x^{4}}\right) - 6 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(b c^{4} x^{4} - 4 \, b c^{2} x^{2} - 8 \, b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 2 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(3 \, a c^{4} x^{4} - 12 \, a c^{2} x^{2} - {\left(b c^{3} x^{3} - 15 \, b c x\right)} \sqrt{c^{2} x^{2} + 1} - 24 \, a\right)}}{18 \, {\left(\pi^{2} c^{8} x^{2} + \pi^{2} c^{6}\right)}}"," ",0,"-1/18*(9*sqrt(pi)*(b*c^2*x^2 + b)*arctan(-2*sqrt(pi)*sqrt(pi + pi*c^2*x^2)*sqrt(c^2*x^2 + 1)*c*x/(pi - pi*c^4*x^4)) - 6*sqrt(pi + pi*c^2*x^2)*(b*c^4*x^4 - 4*b*c^2*x^2 - 8*b)*log(c*x + sqrt(c^2*x^2 + 1)) - 2*sqrt(pi + pi*c^2*x^2)*(3*a*c^4*x^4 - 12*a*c^2*x^2 - (b*c^3*x^3 - 15*b*c*x)*sqrt(c^2*x^2 + 1) - 24*a))/(pi^2*c^8*x^2 + pi^2*c^6)","A",0
91,0,0,0,0.704779," ","integrate(x^4*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b x^{4} \operatorname{arsinh}\left(c x\right) + a x^{4}\right)}}{\pi^{2} c^{4} x^{4} + 2 \, \pi^{2} c^{2} x^{2} + \pi^{2}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*x^4*arcsinh(c*x) + a*x^4)/(pi^2*c^4*x^4 + 2*pi^2*c^2*x^2 + pi^2), x)","F",0
92,1,165,0,0.660954," ","integrate(x^3*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{\pi} {\left(b c^{2} x^{2} + b\right)} \arctan\left(-\frac{2 \, \sqrt{\pi} \sqrt{\pi + \pi c^{2} x^{2}} \sqrt{c^{2} x^{2} + 1} c x}{\pi - \pi c^{4} x^{4}}\right) + 2 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(b c^{2} x^{2} + 2 \, b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + 2 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(a c^{2} x^{2} - \sqrt{c^{2} x^{2} + 1} b c x + 2 \, a\right)}}{2 \, {\left(\pi^{2} c^{6} x^{2} + \pi^{2} c^{4}\right)}}"," ",0,"1/2*(sqrt(pi)*(b*c^2*x^2 + b)*arctan(-2*sqrt(pi)*sqrt(pi + pi*c^2*x^2)*sqrt(c^2*x^2 + 1)*c*x/(pi - pi*c^4*x^4)) + 2*sqrt(pi + pi*c^2*x^2)*(b*c^2*x^2 + 2*b)*log(c*x + sqrt(c^2*x^2 + 1)) + 2*sqrt(pi + pi*c^2*x^2)*(a*c^2*x^2 - sqrt(c^2*x^2 + 1)*b*c*x + 2*a))/(pi^2*c^6*x^2 + pi^2*c^4)","B",0
93,0,0,0,0.462493," ","integrate(x^2*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b x^{2} \operatorname{arsinh}\left(c x\right) + a x^{2}\right)}}{\pi^{2} c^{4} x^{4} + 2 \, \pi^{2} c^{2} x^{2} + \pi^{2}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*x^2*arcsinh(c*x) + a*x^2)/(pi^2*c^4*x^4 + 2*pi^2*c^2*x^2 + pi^2), x)","F",0
94,1,127,0,0.834599," ","integrate(x*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} {\left(b c^{2} x^{2} + b\right)} \arctan\left(-\frac{2 \, \sqrt{\pi} \sqrt{\pi + \pi c^{2} x^{2}} \sqrt{c^{2} x^{2} + 1} c x}{\pi - \pi c^{4} x^{4}}\right) + 2 \, \sqrt{\pi + \pi c^{2} x^{2}} b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + 2 \, \sqrt{\pi + \pi c^{2} x^{2}} a}{2 \, {\left(\pi^{2} c^{4} x^{2} + \pi^{2} c^{2}\right)}}"," ",0,"-1/2*(sqrt(pi)*(b*c^2*x^2 + b)*arctan(-2*sqrt(pi)*sqrt(pi + pi*c^2*x^2)*sqrt(c^2*x^2 + 1)*c*x/(pi - pi*c^4*x^4)) + 2*sqrt(pi + pi*c^2*x^2)*b*log(c*x + sqrt(c^2*x^2 + 1)) + 2*sqrt(pi + pi*c^2*x^2)*a)/(pi^2*c^4*x^2 + pi^2*c^2)","B",0
95,0,0,0,0.825781," ","integrate((a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}}{\pi^{2} c^{4} x^{4} + 2 \, \pi^{2} c^{2} x^{2} + \pi^{2}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a)/(pi^2*c^4*x^4 + 2*pi^2*c^2*x^2 + pi^2), x)","F",0
96,0,0,0,0.624454," ","integrate((a+b*arcsinh(c*x))/x/(pi*c^2*x^2+pi)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}}{\pi^{2} c^{4} x^{5} + 2 \, \pi^{2} c^{2} x^{3} + \pi^{2} x}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a)/(pi^2*c^4*x^5 + 2*pi^2*c^2*x^3 + pi^2*x), x)","F",0
97,0,0,0,0.778902," ","integrate((a+b*arcsinh(c*x))/x^2/(pi*c^2*x^2+pi)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}}{\pi^{2} c^{4} x^{6} + 2 \, \pi^{2} c^{2} x^{4} + \pi^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a)/(pi^2*c^4*x^6 + 2*pi^2*c^2*x^4 + pi^2*x^2), x)","F",0
98,0,0,0,0.506928," ","integrate((a+b*arcsinh(c*x))/x^3/(pi*c^2*x^2+pi)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}}{\pi^{2} c^{4} x^{7} + 2 \, \pi^{2} c^{2} x^{5} + \pi^{2} x^{3}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a)/(pi^2*c^4*x^7 + 2*pi^2*c^2*x^5 + pi^2*x^3), x)","F",0
99,0,0,0,0.897774," ","integrate((a+b*arcsinh(c*x))/x^4/(pi*c^2*x^2+pi)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}}{\pi^{2} c^{4} x^{8} + 2 \, \pi^{2} c^{2} x^{6} + \pi^{2} x^{4}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a)/(pi^2*c^4*x^8 + 2*pi^2*c^2*x^6 + pi^2*x^4), x)","F",0
100,0,0,0,0.547947," ","integrate(x^6*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b x^{6} \operatorname{arsinh}\left(c x\right) + a x^{6}\right)}}{\pi^{3} c^{6} x^{6} + 3 \, \pi^{3} c^{4} x^{4} + 3 \, \pi^{3} c^{2} x^{2} + \pi^{3}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*x^6*arcsinh(c*x) + a*x^6)/(pi^3*c^6*x^6 + 3*pi^3*c^4*x^4 + 3*pi^3*c^2*x^2 + pi^3), x)","F",0
101,1,218,0,0.891762," ","integrate(x^5*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(5/2),x, algorithm=""fricas"")","\frac{11 \, \sqrt{\pi} {\left(b c^{4} x^{4} + 2 \, b c^{2} x^{2} + b\right)} \arctan\left(-\frac{2 \, \sqrt{\pi} \sqrt{\pi + \pi c^{2} x^{2}} \sqrt{c^{2} x^{2} + 1} c x}{\pi - \pi c^{4} x^{4}}\right) + 4 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(3 \, b c^{4} x^{4} + 12 \, b c^{2} x^{2} + 8 \, b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + 2 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(6 \, a c^{4} x^{4} + 24 \, a c^{2} x^{2} - {\left(6 \, b c^{3} x^{3} + 5 \, b c x\right)} \sqrt{c^{2} x^{2} + 1} + 16 \, a\right)}}{12 \, {\left(\pi^{3} c^{10} x^{4} + 2 \, \pi^{3} c^{8} x^{2} + \pi^{3} c^{6}\right)}}"," ",0,"1/12*(11*sqrt(pi)*(b*c^4*x^4 + 2*b*c^2*x^2 + b)*arctan(-2*sqrt(pi)*sqrt(pi + pi*c^2*x^2)*sqrt(c^2*x^2 + 1)*c*x/(pi - pi*c^4*x^4)) + 4*sqrt(pi + pi*c^2*x^2)*(3*b*c^4*x^4 + 12*b*c^2*x^2 + 8*b)*log(c*x + sqrt(c^2*x^2 + 1)) + 2*sqrt(pi + pi*c^2*x^2)*(6*a*c^4*x^4 + 24*a*c^2*x^2 - (6*b*c^3*x^3 + 5*b*c*x)*sqrt(c^2*x^2 + 1) + 16*a))/(pi^3*c^10*x^4 + 2*pi^3*c^8*x^2 + pi^3*c^6)","A",0
102,0,0,0,0.699012," ","integrate(x^4*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b x^{4} \operatorname{arsinh}\left(c x\right) + a x^{4}\right)}}{\pi^{3} c^{6} x^{6} + 3 \, \pi^{3} c^{4} x^{4} + 3 \, \pi^{3} c^{2} x^{2} + \pi^{3}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*x^4*arcsinh(c*x) + a*x^4)/(pi^3*c^6*x^6 + 3*pi^3*c^4*x^4 + 3*pi^3*c^2*x^2 + pi^3), x)","F",0
103,1,187,0,0.604840," ","integrate(x^3*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(5/2),x, algorithm=""fricas"")","-\frac{5 \, \sqrt{\pi} {\left(b c^{4} x^{4} + 2 \, b c^{2} x^{2} + b\right)} \arctan\left(-\frac{2 \, \sqrt{\pi} \sqrt{\pi + \pi c^{2} x^{2}} \sqrt{c^{2} x^{2} + 1} c x}{\pi - \pi c^{4} x^{4}}\right) + 4 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(3 \, b c^{2} x^{2} + 2 \, b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + 2 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(6 \, a c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} b c x + 4 \, a\right)}}{12 \, {\left(\pi^{3} c^{8} x^{4} + 2 \, \pi^{3} c^{6} x^{2} + \pi^{3} c^{4}\right)}}"," ",0,"-1/12*(5*sqrt(pi)*(b*c^4*x^4 + 2*b*c^2*x^2 + b)*arctan(-2*sqrt(pi)*sqrt(pi + pi*c^2*x^2)*sqrt(c^2*x^2 + 1)*c*x/(pi - pi*c^4*x^4)) + 4*sqrt(pi + pi*c^2*x^2)*(3*b*c^2*x^2 + 2*b)*log(c*x + sqrt(c^2*x^2 + 1)) + 2*sqrt(pi + pi*c^2*x^2)*(6*a*c^2*x^2 + sqrt(c^2*x^2 + 1)*b*c*x + 4*a))/(pi^3*c^8*x^4 + 2*pi^3*c^6*x^2 + pi^3*c^4)","B",0
104,0,0,0,0.684558," ","integrate(x^2*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b x^{2} \operatorname{arsinh}\left(c x\right) + a x^{2}\right)}}{\pi^{3} c^{6} x^{6} + 3 \, \pi^{3} c^{4} x^{4} + 3 \, \pi^{3} c^{2} x^{2} + \pi^{3}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*x^2*arcsinh(c*x) + a*x^2)/(pi^3*c^6*x^6 + 3*pi^3*c^4*x^4 + 3*pi^3*c^2*x^2 + pi^3), x)","F",0
105,1,165,0,0.625503," ","integrate(x*(a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(5/2),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} {\left(b c^{4} x^{4} + 2 \, b c^{2} x^{2} + b\right)} \arctan\left(-\frac{2 \, \sqrt{\pi} \sqrt{\pi + \pi c^{2} x^{2}} \sqrt{c^{2} x^{2} + 1} c x}{\pi - \pi c^{4} x^{4}}\right) + 4 \, \sqrt{\pi + \pi c^{2} x^{2}} b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 2 \, \sqrt{\pi + \pi c^{2} x^{2}} {\left(\sqrt{c^{2} x^{2} + 1} b c x - 2 \, a\right)}}{12 \, {\left(\pi^{3} c^{6} x^{4} + 2 \, \pi^{3} c^{4} x^{2} + \pi^{3} c^{2}\right)}}"," ",0,"-1/12*(sqrt(pi)*(b*c^4*x^4 + 2*b*c^2*x^2 + b)*arctan(-2*sqrt(pi)*sqrt(pi + pi*c^2*x^2)*sqrt(c^2*x^2 + 1)*c*x/(pi - pi*c^4*x^4)) + 4*sqrt(pi + pi*c^2*x^2)*b*log(c*x + sqrt(c^2*x^2 + 1)) - 2*sqrt(pi + pi*c^2*x^2)*(sqrt(c^2*x^2 + 1)*b*c*x - 2*a))/(pi^3*c^6*x^4 + 2*pi^3*c^4*x^2 + pi^3*c^2)","B",0
106,0,0,0,0.744757," ","integrate((a+b*arcsinh(c*x))/(pi*c^2*x^2+pi)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}}{\pi^{3} c^{6} x^{6} + 3 \, \pi^{3} c^{4} x^{4} + 3 \, \pi^{3} c^{2} x^{2} + \pi^{3}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a)/(pi^3*c^6*x^6 + 3*pi^3*c^4*x^4 + 3*pi^3*c^2*x^2 + pi^3), x)","F",0
107,0,0,0,0.612701," ","integrate((a+b*arcsinh(c*x))/x/(pi*c^2*x^2+pi)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}}{\pi^{3} c^{6} x^{7} + 3 \, \pi^{3} c^{4} x^{5} + 3 \, \pi^{3} c^{2} x^{3} + \pi^{3} x}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a)/(pi^3*c^6*x^7 + 3*pi^3*c^4*x^5 + 3*pi^3*c^2*x^3 + pi^3*x), x)","F",0
108,0,0,0,0.933526," ","integrate((a+b*arcsinh(c*x))/x^2/(pi*c^2*x^2+pi)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}}{\pi^{3} c^{6} x^{8} + 3 \, \pi^{3} c^{4} x^{6} + 3 \, \pi^{3} c^{2} x^{4} + \pi^{3} x^{2}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a)/(pi^3*c^6*x^8 + 3*pi^3*c^4*x^6 + 3*pi^3*c^2*x^4 + pi^3*x^2), x)","F",0
109,0,0,0,0.663966," ","integrate((a+b*arcsinh(c*x))/x^3/(pi*c^2*x^2+pi)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}}{\pi^{3} c^{6} x^{9} + 3 \, \pi^{3} c^{4} x^{7} + 3 \, \pi^{3} c^{2} x^{5} + \pi^{3} x^{3}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a)/(pi^3*c^6*x^9 + 3*pi^3*c^4*x^7 + 3*pi^3*c^2*x^5 + pi^3*x^3), x)","F",0
110,0,0,0,0.994036," ","integrate((a+b*arcsinh(c*x))/x^4/(pi*c^2*x^2+pi)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}}{\pi^{3} c^{6} x^{10} + 3 \, \pi^{3} c^{4} x^{8} + 3 \, \pi^{3} c^{2} x^{6} + \pi^{3} x^{4}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b*arcsinh(c*x) + a)/(pi^3*c^6*x^10 + 3*pi^3*c^4*x^8 + 3*pi^3*c^2*x^6 + pi^3*x^4), x)","F",0
111,0,0,0,0.586844," ","integrate(arcsinh(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{arsinh}\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)*arcsinh(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
112,1,83,0,0.523042," ","integrate(x^4*arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{a^{4} x^{4} - 3 \, a^{2} x^{2} - 2 \, {\left(2 \, a^{3} x^{3} - 3 \, a x\right)} \sqrt{a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right) - 3 \, \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2}}{16 \, a^{5}}"," ",0,"-1/16*(a^4*x^4 - 3*a^2*x^2 - 2*(2*a^3*x^3 - 3*a*x)*sqrt(a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 + 1)) - 3*log(a*x + sqrt(a^2*x^2 + 1))^2)/a^5","A",0
113,1,55,0,0.657781," ","integrate(x^3*arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{a^{3} x^{3} - 3 \, \sqrt{a^{2} x^{2} + 1} {\left(a^{2} x^{2} - 2\right)} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right) - 6 \, a x}{9 \, a^{4}}"," ",0,"-1/9*(a^3*x^3 - 3*sqrt(a^2*x^2 + 1)*(a^2*x^2 - 2)*log(a*x + sqrt(a^2*x^2 + 1)) - 6*a*x)/a^4","A",0
114,1,62,0,0.632460," ","integrate(x^2*arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{a^{2} x^{2} - 2 \, \sqrt{a^{2} x^{2} + 1} a x \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right) + \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2}}{4 \, a^{3}}"," ",0,"-1/4*(a^2*x^2 - 2*sqrt(a^2*x^2 + 1)*a*x*log(a*x + sqrt(a^2*x^2 + 1)) + log(a*x + sqrt(a^2*x^2 + 1))^2)/a^3","A",0
115,1,38,0,0.538610," ","integrate(x*arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{a x - \sqrt{a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)}{a^{2}}"," ",0,"-(a*x - sqrt(a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 + 1)))/a^2","A",0
116,1,23,0,0.656138," ","integrate(arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2}}{2 \, a}"," ",0,"1/2*log(a*x + sqrt(a^2*x^2 + 1))^2/a","B",0
117,0,0,0,0.641804," ","integrate(arcsinh(a*x)/x/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a^{2} x^{2} + 1} \operatorname{arsinh}\left(a x\right)}{a^{2} x^{3} + x}, x\right)"," ",0,"integral(sqrt(a^2*x^2 + 1)*arcsinh(a*x)/(a^2*x^3 + x), x)","F",0
118,1,39,0,0.433353," ","integrate(arcsinh(a*x)/x^2/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{a x \log\left(x\right) - \sqrt{a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)}{x}"," ",0,"(a*x*log(x) - sqrt(a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 + 1)))/x","A",0
119,0,0,0,0.613909," ","integrate(arcsinh(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{arsinh}\left(a x\right)}{a^{2} x^{5} + x^{3}}, x\right)"," ",0,"integral(sqrt(a^2*x^2 + 1)*arcsinh(a*x)/(a^2*x^5 + x^3), x)","F",0
120,1,158,0,0.456483," ","integrate(x^3*(a+b*arcsinh(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(45 \, a c^{6} x^{6} + 60 \, a c^{4} x^{4} - 15 \, a c^{2} x^{2} - {\left(9 \, b c^{5} x^{5} + 5 \, b c^{3} x^{3} - 30 \, b c x\right)} \sqrt{c^{2} x^{2} + 1} - 30 \, 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)) + (45*a*c^6*x^6 + 60*a*c^4*x^4 - 15*a*c^2*x^2 - (9*b*c^5*x^5 + 5*b*c^3*x^3 - 30*b*c*x)*sqrt(c^2*x^2 + 1) - 30*a)*sqrt(c^2*d*x^2 + d))/(c^6*x^2 + c^4)","A",0
121,0,0,0,0.556557," ","integrate(x^2*(a+b*arcsinh(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{arsinh}\left(c x\right) + a x^{2}\right)}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b*x^2*arcsinh(c*x) + a*x^2), x)","F",0
122,1,127,0,0.481903," ","integrate(x*(a+b*arcsinh(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(3 \, a c^{4} x^{4} + 6 \, a c^{2} x^{2} - {\left(b c^{3} x^{3} + 3 \, b c x\right)} \sqrt{c^{2} x^{2} + 1} + 3 \, 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)) + (3*a*c^4*x^4 + 6*a*c^2*x^2 - (b*c^3*x^3 + 3*b*c*x)*sqrt(c^2*x^2 + 1) + 3*a)*sqrt(c^2*d*x^2 + d))/(c^4*x^2 + c^2)","A",0
123,0,0,0,0.592912," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right) + a\right)}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b*arcsinh(c*x) + a), x)","F",0
124,0,0,0,0.668272," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right) + a\right)}}{x}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b*arcsinh(c*x) + a)/x, x)","F",0
125,0,0,0,0.658800," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right) + a\right)}}{x^{2}}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b*arcsinh(c*x) + a)/x^2, x)","F",0
126,0,0,0,0.706742," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right) + a\right)}}{x^{3}}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b*arcsinh(c*x) + a)/x^3, x)","F",0
127,1,217,0,0.733274," ","integrate((a+b*arcsinh(c*x))*(c^2*d*x^2+d)^(1/2)/x^4,x, algorithm=""fricas"")","-\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) + {\left(2 \, a c^{4} x^{4} + 4 \, a c^{2} x^{2} - {\left(b c x^{3} - b c x\right)} \sqrt{c^{2} x^{2} + 1} + 2 \, a\right)} \sqrt{c^{2} d x^{2} + d}}{6 \, {\left(c^{2} x^{5} + x^{3}\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)) + (2*a*c^4*x^4 + 4*a*c^2*x^2 - (b*c*x^3 - b*c*x)*sqrt(c^2*x^2 + 1) + 2*a)*sqrt(c^2*d*x^2 + d))/(c^2*x^5 + x^3)","B",0
128,1,199,0,0.669783," ","integrate(x^3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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(525 \, a c^{8} d x^{8} + 1365 \, a c^{6} d x^{6} + 945 \, a c^{4} d x^{4} - 105 \, a c^{2} d x^{2} - 210 \, a d - {\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} x^{2} + 1}\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)) + (525*a*c^8*d*x^8 + 1365*a*c^6*d*x^6 + 945*a*c^4*d*x^4 - 105*a*c^2*d*x^2 - 210*a*d - (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*x^2 + 1))*sqrt(c^2*d*x^2 + d))/(c^6*x^2 + c^4)","A",0
129,0,0,0,0.527137," ","integrate(x^2*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d), x)","F",0
130,1,167,0,0.697448," ","integrate(x*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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(15 \, a c^{6} d x^{6} + 45 \, a c^{4} d x^{4} + 45 \, a c^{2} d x^{2} + 15 \, a d - {\left(3 \, b c^{5} d x^{5} + 10 \, b c^{3} d x^{3} + 15 \, b c d x\right)} \sqrt{c^{2} x^{2} + 1}\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)) + (15*a*c^6*d*x^6 + 45*a*c^4*d*x^4 + 45*a*c^2*d*x^2 + 15*a*d - (3*b*c^5*d*x^5 + 10*b*c^3*d*x^3 + 15*b*c*d*x)*sqrt(c^2*x^2 + 1))*sqrt(c^2*d*x^2 + d))/(c^4*x^2 + c^2)","A",0
131,0,0,0,0.485024," ","integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d), x)","F",0
132,0,0,0,0.684050," ","integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x, x)","F",0
133,0,0,0,0.670463," ","integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x^2, x)","F",0
134,0,0,0,0.644932," ","integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x^3, x)","F",0
135,0,0,0,0.569042," ","integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x^4, x)","F",0
136,1,263,0,0.783238," ","integrate(x^3*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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(441 \, a c^{10} d^{2} x^{10} + 1638 \, a c^{8} d^{2} x^{8} + 2142 \, a c^{6} d^{2} x^{6} + 1008 \, a c^{4} d^{2} x^{4} - 63 \, a c^{2} d^{2} x^{2} - 126 \, a d^{2} - {\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} x^{2} + 1}\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)) + (441*a*c^10*d^2*x^10 + 1638*a*c^8*d^2*x^8 + 2142*a*c^6*d^2*x^6 + 1008*a*c^4*d^2*x^4 - 63*a*c^2*d^2*x^2 - 126*a*d^2 - (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*x^2 + 1))*sqrt(c^2*d*x^2 + d))/(c^6*x^2 + c^4)","A",0
137,0,0,0,0.580142," ","integrate(x^2*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d), x)","F",0
138,1,225,0,0.658710," ","integrate(x*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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(35 \, a c^{8} d^{2} x^{8} + 140 \, a c^{6} d^{2} x^{6} + 210 \, a c^{4} d^{2} x^{4} + 140 \, a c^{2} d^{2} x^{2} + 35 \, a d^{2} - {\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} x^{2} + 1}\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)) + (35*a*c^8*d^2*x^8 + 140*a*c^6*d^2*x^6 + 210*a*c^4*d^2*x^4 + 140*a*c^2*d^2*x^2 + 35*a*d^2 - (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*x^2 + 1))*sqrt(c^2*d*x^2 + d))/(c^4*x^2 + c^2)","A",0
139,0,0,0,0.625353," ","integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d), x)","F",0
140,0,0,0,0.625810," ","integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x, x)","F",0
141,0,0,0,0.531883," ","integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x^2, x)","F",0
142,0,0,0,0.612183," ","integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x^3, x)","F",0
143,0,0,0,0.528111," ","integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x^4, x)","F",0
144,1,40,0,0.599648," ","integrate(arcsinh(x)*(x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{x^{2} + 1} x \log\left(x + \sqrt{x^{2} + 1}\right) - \frac{1}{4} \, x^{2} + \frac{1}{4} \, \log\left(x + \sqrt{x^{2} + 1}\right)^{2}"," ",0,"1/2*sqrt(x^2 + 1)*x*log(x + sqrt(x^2 + 1)) - 1/4*x^2 + 1/4*log(x + sqrt(x^2 + 1))^2","A",0
145,1,161,0,0.540478," ","integrate(x^5*(a+b*arcsinh(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(45 \, a c^{6} x^{6} - 15 \, a c^{4} x^{4} + 60 \, a c^{2} x^{2} - {\left(9 \, b c^{5} x^{5} - 20 \, b c^{3} x^{3} + 120 \, b c x\right)} \sqrt{c^{2} x^{2} + 1} + 120 \, 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)) + (45*a*c^6*x^6 - 15*a*c^4*x^4 + 60*a*c^2*x^2 - (9*b*c^5*x^5 - 20*b*c^3*x^3 + 120*b*c*x)*sqrt(c^2*x^2 + 1) + 120*a)*sqrt(c^2*d*x^2 + d))/(c^8*d*x^2 + c^6*d)","A",0
146,0,0,0,0.596426," ","integrate(x^4*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \operatorname{arsinh}\left(c x\right) + a x^{4}}{\sqrt{c^{2} d x^{2} + d}}, x\right)"," ",0,"integral((b*x^4*arcsinh(c*x) + a*x^4)/sqrt(c^2*d*x^2 + d), x)","F",0
147,1,132,0,0.552369," ","integrate(x^3*(a+b*arcsinh(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(3 \, a c^{4} x^{4} - 3 \, a c^{2} x^{2} - {\left(b c^{3} x^{3} - 6 \, b c x\right)} \sqrt{c^{2} x^{2} + 1} - 6 \, 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)) + (3*a*c^4*x^4 - 3*a*c^2*x^2 - (b*c^3*x^3 - 6*b*c*x)*sqrt(c^2*x^2 + 1) - 6*a)*sqrt(c^2*d*x^2 + d))/(c^6*d*x^2 + c^4*d)","A",0
148,0,0,0,0.768093," ","integrate(x^2*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \operatorname{arsinh}\left(c x\right) + a x^{2}}{\sqrt{c^{2} d x^{2} + d}}, x\right)"," ",0,"integral((b*x^2*arcsinh(c*x) + a*x^2)/sqrt(c^2*d*x^2 + d), x)","F",0
149,1,96,0,0.421132," ","integrate(x*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","\frac{{\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} - \sqrt{c^{2} x^{2} + 1} b c x + a\right)} \sqrt{c^{2} d x^{2} + d}}{c^{4} d x^{2} + c^{2} d}"," ",0,"((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 - sqrt(c^2*x^2 + 1)*b*c*x + a)*sqrt(c^2*d*x^2 + d))/(c^4*d*x^2 + c^2*d)","A",0
150,0,0,0,0.612438," ","integrate((a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\left(c x\right) + a}{\sqrt{c^{2} d x^{2} + d}}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)/sqrt(c^2*d*x^2 + d), x)","F",0
151,0,0,0,0.627136," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)/(c^2*d*x^3 + d*x), x)","F",0
152,1,132,0,0.582635," ","integrate((a+b*arcsinh(c*x))/x^2/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","\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}"," ",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",0
153,0,0,0,0.622201," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)/(c^2*d*x^5 + d*x^3), x)","F",0
154,1,222,0,0.708127," ","integrate((a+b*arcsinh(c*x))/x^4/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","\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) + {\left(4 \, a c^{4} x^{4} + 2 \, a c^{2} x^{2} + {\left(b c x^{3} - b c x\right)} \sqrt{c^{2} x^{2} + 1} - 2 \, a\right)} \sqrt{c^{2} d x^{2} + d}}{6 \, {\left(c^{2} d x^{5} + d x^{3}\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)) + (4*a*c^4*x^4 + 2*a*c^2*x^2 + (b*c*x^3 - b*c*x)*sqrt(c^2*x^2 + 1) - 2*a)*sqrt(c^2*d*x^2 + d))/(c^2*d*x^5 + d*x^3)","A",0
155,1,197,0,0.613696," ","integrate(x^5*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","-\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(3 \, a c^{4} x^{4} - 12 \, a c^{2} x^{2} - {\left(b c^{3} x^{3} - 15 \, b c x\right)} \sqrt{c^{2} x^{2} + 1} - 24 \, a\right)} \sqrt{c^{2} d x^{2} + d}}{18 \, {\left(c^{8} d^{2} x^{2} + c^{6} d^{2}\right)}}"," ",0,"-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*(3*a*c^4*x^4 - 12*a*c^2*x^2 - (b*c^3*x^3 - 15*b*c*x)*sqrt(c^2*x^2 + 1) - 24*a)*sqrt(c^2*d*x^2 + d))/(c^8*d^2*x^2 + c^6*d^2)","A",0
156,0,0,0,0.462912," ","integrate(x^4*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{4} \operatorname{arsinh}\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*arcsinh(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
157,1,166,0,0.757947," ","integrate(x^3*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","\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 \, {\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} - \sqrt{c^{2} x^{2} + 1} b c x + 2 \, a\right)} \sqrt{c^{2} d x^{2} + d}}{2 \, {\left(c^{6} d^{2} x^{2} + c^{4} d^{2}\right)}}"," ",0,"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*(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 - sqrt(c^2*x^2 + 1)*b*c*x + 2*a)*sqrt(c^2*d*x^2 + d))/(c^6*d^2*x^2 + c^4*d^2)","A",0
158,0,0,0,0.596839," ","integrate(x^2*(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a*x^2)/(c^4*d^2*x^4 + 2*c^2*d^2*x^2 + d^2), x)","F",0
159,1,128,0,0.627581," ","integrate(x*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","-\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)}}"," ",0,"-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
160,0,0,0,0.652214," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)/(c^4*d^2*x^4 + 2*c^2*d^2*x^2 + d^2), x)","F",0
161,0,0,0,0.672008," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)/(c^4*d^2*x^5 + 2*c^2*d^2*x^3 + d^2*x), x)","F",0
162,0,0,0,0.792295," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)/(c^4*d^2*x^6 + 2*c^2*d^2*x^4 + d^2*x^2), x)","F",0
163,0,0,0,0.576616," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)/(c^4*d^2*x^7 + 2*c^2*d^2*x^5 + d^2*x^3), x)","F",0
164,0,0,0,0.901555," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)/(c^4*d^2*x^8 + 2*c^2*d^2*x^6 + d^2*x^4), x)","F",0
165,0,0,0,0.598471," ","integrate(x^6*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{6} \operatorname{arsinh}\left(c x\right) + a x^{6}\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^6*arcsinh(c*x) + a*x^6)*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
166,1,219,0,0.707004," ","integrate(x^5*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","\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 \, a c^{4} x^{4} + 24 \, a c^{2} x^{2} - {\left(6 \, b c^{3} x^{3} + 5 \, b c x\right)} \sqrt{c^{2} x^{2} + 1} + 16 \, 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)}}"," ",0,"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*a*c^4*x^4 + 24*a*c^2*x^2 - (6*b*c^3*x^3 + 5*b*c*x)*sqrt(c^2*x^2 + 1) + 16*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
167,0,0,0,0.603704," ","integrate(x^4*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{4} \operatorname{arsinh}\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*arcsinh(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
168,1,188,0,0.635162," ","integrate(x^3*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","-\frac{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) + 2 \, {\left(6 \, a c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} b c x + 4 \, 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)}}"," ",0,"-1/12*(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)) + 2*(6*a*c^2*x^2 + sqrt(c^2*x^2 + 1)*b*c*x + 4*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
169,0,0,0,0.573497," ","integrate(x^2*(a+b*arcsinh(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{arsinh}\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*arcsinh(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
170,1,166,0,0.689513," ","integrate(x*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","-\frac{{\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) - 2 \, \sqrt{c^{2} d x^{2} + d} {\left(\sqrt{c^{2} x^{2} + 1} b c x - 2 \, a\right)}}{12 \, {\left(c^{6} d^{3} x^{4} + 2 \, c^{4} d^{3} x^{2} + c^{2} d^{3}\right)}}"," ",0,"-1/12*((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)) - 2*sqrt(c^2*d*x^2 + d)*(sqrt(c^2*x^2 + 1)*b*c*x - 2*a))/(c^6*d^3*x^4 + 2*c^4*d^3*x^2 + c^2*d^3)","A",0
171,0,0,0,0.815924," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(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
172,0,0,0,0.511315," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(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
173,0,0,0,0.983171," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(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
174,0,0,0,0.612717," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(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
175,0,0,0,1.104150," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(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
176,0,0,0,0.644662," ","integrate(arcsinh(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{arsinh}\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)*arcsinh(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
177,1,83,0,0.587695," ","integrate(x^4*arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{a^{4} x^{4} - 3 \, a^{2} x^{2} - 2 \, {\left(2 \, a^{3} x^{3} - 3 \, a x\right)} \sqrt{a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right) - 3 \, \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2}}{16 \, a^{5}}"," ",0,"-1/16*(a^4*x^4 - 3*a^2*x^2 - 2*(2*a^3*x^3 - 3*a*x)*sqrt(a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 + 1)) - 3*log(a*x + sqrt(a^2*x^2 + 1))^2)/a^5","A",0
178,1,55,0,0.710206," ","integrate(x^3*arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{a^{3} x^{3} - 3 \, \sqrt{a^{2} x^{2} + 1} {\left(a^{2} x^{2} - 2\right)} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right) - 6 \, a x}{9 \, a^{4}}"," ",0,"-1/9*(a^3*x^3 - 3*sqrt(a^2*x^2 + 1)*(a^2*x^2 - 2)*log(a*x + sqrt(a^2*x^2 + 1)) - 6*a*x)/a^4","A",0
179,1,62,0,0.522145," ","integrate(x^2*arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{a^{2} x^{2} - 2 \, \sqrt{a^{2} x^{2} + 1} a x \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right) + \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2}}{4 \, a^{3}}"," ",0,"-1/4*(a^2*x^2 - 2*sqrt(a^2*x^2 + 1)*a*x*log(a*x + sqrt(a^2*x^2 + 1)) + log(a*x + sqrt(a^2*x^2 + 1))^2)/a^3","A",0
180,1,38,0,0.501866," ","integrate(x*arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{a x - \sqrt{a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)}{a^{2}}"," ",0,"-(a*x - sqrt(a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 + 1)))/a^2","A",0
181,1,23,0,0.649944," ","integrate(arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2}}{2 \, a}"," ",0,"1/2*log(a*x + sqrt(a^2*x^2 + 1))^2/a","B",0
182,0,0,0,0.558695," ","integrate(arcsinh(a*x)/x/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a^{2} x^{2} + 1} \operatorname{arsinh}\left(a x\right)}{a^{2} x^{3} + x}, x\right)"," ",0,"integral(sqrt(a^2*x^2 + 1)*arcsinh(a*x)/(a^2*x^3 + x), x)","F",0
183,1,39,0,0.583026," ","integrate(arcsinh(a*x)/x^2/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{a x \log\left(x\right) - \sqrt{a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)}{x}"," ",0,"(a*x*log(x) - sqrt(a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 + 1)))/x","A",0
184,0,0,0,0.528389," ","integrate(arcsinh(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{arsinh}\left(a x\right)}{a^{2} x^{5} + x^{3}}, x\right)"," ",0,"integral(sqrt(a^2*x^2 + 1)*arcsinh(a*x)/(a^2*x^5 + x^3), x)","F",0
185,0,0,0,0.628410," ","integrate(x^m*(c^2*d*x^2+d)^3*(a+b*arcsinh(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{arsinh}\left(c x\right)\right)} x^{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)*arcsinh(c*x))*x^m, x)","F",0
186,0,0,0,0.731441," ","integrate(x^m*(c^2*d*x^2+d)^2*(a+b*arcsinh(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{arsinh}\left(c x\right)\right)} x^{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)*arcsinh(c*x))*x^m, x)","F",0
187,0,0,0,0.474374," ","integrate(x^m*(c^2*d*x^2+d)*(a+b*arcsinh(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{arsinh}\left(c x\right)\right)} x^{m}, x\right)"," ",0,"integral((a*c^2*d*x^2 + a*d + (b*c^2*d*x^2 + b*d)*arcsinh(c*x))*x^m, x)","F",0
188,0,0,0,0.616233," ","integrate(x^m*(a+b*arcsinh(c*x))/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \operatorname{arsinh}\left(c x\right) + a\right)} x^{m}}{c^{2} d x^{2} + d}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)*x^m/(c^2*d*x^2 + d), x)","F",0
189,0,0,0,0.558638," ","integrate(x^m*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \operatorname{arsinh}\left(c x\right) + a\right)} x^{m}}{c^{4} d^{2} x^{4} + 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)*x^m/(c^4*d^2*x^4 + 2*c^2*d^2*x^2 + d^2), x)","F",0
190,0,0,0,0.658523," ","integrate(x^m*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \operatorname{arsinh}\left(c x\right) + a\right)} 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\right)"," ",0,"integral((b*arcsinh(c*x) + a)*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
191,0,0,0,0.635543," ","integrate(x^m*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\left(c x\right)\right)} \sqrt{c^{2} d x^{2} + d} x^{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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)*x^m, x)","F",0
192,0,0,0,0.534557," ","integrate(x^m*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\left(c x\right)\right)} \sqrt{c^{2} d x^{2} + d} x^{m}, x\right)"," ",0,"integral((a*c^2*d*x^2 + a*d + (b*c^2*d*x^2 + b*d)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)*x^m, x)","F",0
193,0,0,0,0.555436," ","integrate(x^m*(c^2*d*x^2+d)^(1/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c^{2} d x^{2} + d} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)} x^{m}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b*arcsinh(c*x) + a)*x^m, x)","F",0
194,0,0,0,0.580266," ","integrate(x^m*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \operatorname{arsinh}\left(c x\right) + a\right)} x^{m}}{\sqrt{c^{2} d x^{2} + d}}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)*x^m/sqrt(c^2*d*x^2 + d), x)","F",0
195,0,0,0,0.506574," ","integrate(x^m*(a+b*arcsinh(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{arsinh}\left(c x\right) + a\right)} x^{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*arcsinh(c*x) + a)*x^m/(c^4*d^2*x^4 + 2*c^2*d^2*x^2 + d^2), x)","F",0
196,0,0,0,0.661910," ","integrate(x^m*(a+b*arcsinh(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{arsinh}\left(c x\right) + a\right)} 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\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b*arcsinh(c*x) + a)*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
197,0,0,0,0.698884," ","integrate(x^m*arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m} \operatorname{arsinh}\left(a x\right)}{\sqrt{a^{2} x^{2} + 1}}, x\right)"," ",0,"integral(x^m*arcsinh(a*x)/sqrt(a^2*x^2 + 1), x)","F",0
198,1,260,0,0.446075," ","integrate(x^4*(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{1125 \, {\left(49 \, a^{2} + 2 \, b^{2}\right)} c^{7} d x^{7} + 63 \, {\left(1225 \, a^{2} + 38 \, b^{2}\right)} c^{5} d x^{5} - 5320 \, b^{2} c^{3} d x^{3} + 31920 \, b^{2} c d x + 11025 \, {\left(5 \, b^{2} c^{7} d x^{7} + 7 \, b^{2} c^{5} d x^{5}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 210 \, {\left(525 \, a b c^{7} d x^{7} + 735 \, a b c^{5} d x^{5} - {\left(75 \, b^{2} c^{6} d x^{6} + 57 \, b^{2} c^{4} d x^{4} - 76 \, b^{2} c^{2} d x^{2} + 152 \, b^{2} d\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} d x^{6} + 57 \, a b c^{4} d x^{4} - 76 \, a b c^{2} d x^{2} + 152 \, a b d\right)} \sqrt{c^{2} x^{2} + 1}}{385875 \, c^{5}}"," ",0,"1/385875*(1125*(49*a^2 + 2*b^2)*c^7*d*x^7 + 63*(1225*a^2 + 38*b^2)*c^5*d*x^5 - 5320*b^2*c^3*d*x^3 + 31920*b^2*c*d*x + 11025*(5*b^2*c^7*d*x^7 + 7*b^2*c^5*d*x^5)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 210*(525*a*b*c^7*d*x^7 + 735*a*b*c^5*d*x^5 - (75*b^2*c^6*d*x^6 + 57*b^2*c^4*d*x^4 - 76*b^2*c^2*d*x^2 + 152*b^2*d)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) - 210*(75*a*b*c^6*d*x^6 + 57*a*b*c^4*d*x^4 - 76*a*b*c^2*d*x^2 + 152*a*b*d)*sqrt(c^2*x^2 + 1))/c^5","A",0
199,1,240,0,0.534516," ","integrate(x^3*(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{2 \, {\left(18 \, a^{2} + b^{2}\right)} c^{6} d x^{6} + 3 \, {\left(18 \, a^{2} + b^{2}\right)} c^{4} d x^{4} - 9 \, b^{2} c^{2} d x^{2} + 9 \, {\left(4 \, b^{2} c^{6} d x^{6} + 6 \, b^{2} c^{4} d x^{4} - b^{2} d\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 6 \, {\left(12 \, a b c^{6} d x^{6} + 18 \, a b c^{4} d x^{4} - 3 \, a b d - {\left(2 \, b^{2} c^{5} d x^{5} + 2 \, b^{2} c^{3} d x^{3} - 3 \, b^{2} c d x\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 6 \, {\left(2 \, a b c^{5} d x^{5} + 2 \, a b c^{3} d x^{3} - 3 \, a b c d x\right)} \sqrt{c^{2} x^{2} + 1}}{216 \, c^{4}}"," ",0,"1/216*(2*(18*a^2 + b^2)*c^6*d*x^6 + 3*(18*a^2 + b^2)*c^4*d*x^4 - 9*b^2*c^2*d*x^2 + 9*(4*b^2*c^6*d*x^6 + 6*b^2*c^4*d*x^4 - b^2*d)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 6*(12*a*b*c^6*d*x^6 + 18*a*b*c^4*d*x^4 - 3*a*b*d - (2*b^2*c^5*d*x^5 + 2*b^2*c^3*d*x^3 - 3*b^2*c*d*x)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) - 6*(2*a*b*c^5*d*x^5 + 2*a*b*c^3*d*x^3 - 3*a*b*c*d*x)*sqrt(c^2*x^2 + 1))/c^4","A",0
200,1,225,0,0.665859," ","integrate(x^2*(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{27 \, {\left(25 \, a^{2} + 2 \, b^{2}\right)} c^{5} d x^{5} + 5 \, {\left(225 \, a^{2} + 26 \, b^{2}\right)} c^{3} d x^{3} - 780 \, b^{2} c d x + 225 \, {\left(3 \, b^{2} c^{5} d x^{5} + 5 \, b^{2} c^{3} d x^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 30 \, {\left(45 \, a b c^{5} d x^{5} + 75 \, a b c^{3} d x^{3} - {\left(9 \, b^{2} c^{4} d x^{4} + 13 \, b^{2} c^{2} d x^{2} - 26 \, b^{2} d\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} d x^{4} + 13 \, a b c^{2} d x^{2} - 26 \, a b d\right)} \sqrt{c^{2} x^{2} + 1}}{3375 \, c^{3}}"," ",0,"1/3375*(27*(25*a^2 + 2*b^2)*c^5*d*x^5 + 5*(225*a^2 + 26*b^2)*c^3*d*x^3 - 780*b^2*c*d*x + 225*(3*b^2*c^5*d*x^5 + 5*b^2*c^3*d*x^3)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 30*(45*a*b*c^5*d*x^5 + 75*a*b*c^3*d*x^3 - (9*b^2*c^4*d*x^4 + 13*b^2*c^2*d*x^2 - 26*b^2*d)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) - 30*(9*a*b*c^4*d*x^4 + 13*a*b*c^2*d*x^2 - 26*a*b*d)*sqrt(c^2*x^2 + 1))/c^3","A",0
201,1,204,0,0.754323," ","integrate(x*(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{{\left(8 \, a^{2} + b^{2}\right)} c^{4} d x^{4} + {\left(16 \, a^{2} + 5 \, b^{2}\right)} c^{2} d x^{2} + {\left(8 \, b^{2} c^{4} d x^{4} + 16 \, b^{2} c^{2} d x^{2} + 5 \, b^{2} d\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 2 \, {\left(8 \, a b c^{4} d x^{4} + 16 \, a b c^{2} d x^{2} + 5 \, a b d - {\left(2 \, b^{2} c^{3} d x^{3} + 5 \, b^{2} c d x\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 2 \, {\left(2 \, a b c^{3} d x^{3} + 5 \, a b c d x\right)} \sqrt{c^{2} x^{2} + 1}}{32 \, c^{2}}"," ",0,"1/32*((8*a^2 + b^2)*c^4*d*x^4 + (16*a^2 + 5*b^2)*c^2*d*x^2 + (8*b^2*c^4*d*x^4 + 16*b^2*c^2*d*x^2 + 5*b^2*d)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 2*(8*a*b*c^4*d*x^4 + 16*a*b*c^2*d*x^2 + 5*a*b*d - (2*b^2*c^3*d*x^3 + 5*b^2*c*d*x)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) - 2*(2*a*b*c^3*d*x^3 + 5*a*b*c*d*x)*sqrt(c^2*x^2 + 1))/c^2","A",0
202,1,178,0,0.625139," ","integrate((c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{{\left(9 \, a^{2} + 2 \, b^{2}\right)} c^{3} d x^{3} + 3 \, {\left(9 \, a^{2} + 14 \, b^{2}\right)} c d x + 9 \, {\left(b^{2} c^{3} d x^{3} + 3 \, b^{2} c d x\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 6 \, {\left(3 \, a b c^{3} d x^{3} + 9 \, a b c d x - {\left(b^{2} c^{2} d x^{2} + 7 \, b^{2} d\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} d x^{2} + 7 \, a b d\right)} \sqrt{c^{2} x^{2} + 1}}{27 \, c}"," ",0,"1/27*((9*a^2 + 2*b^2)*c^3*d*x^3 + 3*(9*a^2 + 14*b^2)*c*d*x + 9*(b^2*c^3*d*x^3 + 3*b^2*c*d*x)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 6*(3*a*b*c^3*d*x^3 + 9*a*b*c*d*x - (b^2*c^2*d*x^2 + 7*b^2*d)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) - 6*(a*b*c^2*d*x^2 + 7*a*b*d)*sqrt(c^2*x^2 + 1))/c","A",0
203,0,0,0,0.616848," ","integrate((c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} c^{2} d x^{2} + a^{2} d + {\left(b^{2} c^{2} d x^{2} + b^{2} d\right)} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} + a b d\right)} \operatorname{arsinh}\left(c x\right)}{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)*arcsinh(c*x)^2 + 2*(a*b*c^2*d*x^2 + a*b*d)*arcsinh(c*x))/x, x)","F",0
204,0,0,0,0.725410," ","integrate((c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} c^{2} d x^{2} + a^{2} d + {\left(b^{2} c^{2} d x^{2} + b^{2} d\right)} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} + a b d\right)} \operatorname{arsinh}\left(c x\right)}{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)*arcsinh(c*x)^2 + 2*(a*b*c^2*d*x^2 + a*b*d)*arcsinh(c*x))/x^2, x)","F",0
205,0,0,0,0.566905," ","integrate((c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} c^{2} d x^{2} + a^{2} d + {\left(b^{2} c^{2} d x^{2} + b^{2} d\right)} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} + a b d\right)} \operatorname{arsinh}\left(c x\right)}{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)*arcsinh(c*x)^2 + 2*(a*b*c^2*d*x^2 + a*b*d)*arcsinh(c*x))/x^3, x)","F",0
206,0,0,0,0.666214," ","integrate((c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} c^{2} d x^{2} + a^{2} d + {\left(b^{2} c^{2} d x^{2} + b^{2} d\right)} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} + a b d\right)} \operatorname{arsinh}\left(c x\right)}{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)*arcsinh(c*x)^2 + 2*(a*b*c^2*d*x^2 + a*b*d)*arcsinh(c*x))/x^4, x)","F",0
207,1,368,0,0.681875," ","integrate(x^4*(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{42875 \, {\left(81 \, a^{2} + 2 \, b^{2}\right)} c^{9} d^{2} x^{9} + 2250 \, {\left(3969 \, a^{2} + 106 \, b^{2}\right)} c^{7} d^{2} x^{7} + 189 \, {\left(33075 \, a^{2} + 526 \, b^{2}\right)} c^{5} d^{2} x^{5} - 220920 \, b^{2} c^{3} d^{2} x^{3} + 1325520 \, b^{2} c d^{2} x + 99225 \, {\left(35 \, b^{2} c^{9} d^{2} x^{9} + 90 \, b^{2} c^{7} d^{2} x^{7} + 63 \, b^{2} c^{5} d^{2} x^{5}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 630 \, {\left(11025 \, a b c^{9} d^{2} x^{9} + 28350 \, a b c^{7} d^{2} x^{7} + 19845 \, a b c^{5} d^{2} x^{5} - {\left(1225 \, b^{2} c^{8} d^{2} x^{8} + 2650 \, b^{2} c^{6} d^{2} x^{6} + 789 \, b^{2} c^{4} d^{2} x^{4} - 1052 \, b^{2} c^{2} d^{2} x^{2} + 2104 \, b^{2} d^{2}\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 630 \, {\left(1225 \, a b c^{8} d^{2} x^{8} + 2650 \, a b c^{6} d^{2} x^{6} + 789 \, a b c^{4} d^{2} x^{4} - 1052 \, a b c^{2} d^{2} x^{2} + 2104 \, a b d^{2}\right)} \sqrt{c^{2} x^{2} + 1}}{31255875 \, c^{5}}"," ",0,"1/31255875*(42875*(81*a^2 + 2*b^2)*c^9*d^2*x^9 + 2250*(3969*a^2 + 106*b^2)*c^7*d^2*x^7 + 189*(33075*a^2 + 526*b^2)*c^5*d^2*x^5 - 220920*b^2*c^3*d^2*x^3 + 1325520*b^2*c*d^2*x + 99225*(35*b^2*c^9*d^2*x^9 + 90*b^2*c^7*d^2*x^7 + 63*b^2*c^5*d^2*x^5)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 630*(11025*a*b*c^9*d^2*x^9 + 28350*a*b*c^7*d^2*x^7 + 19845*a*b*c^5*d^2*x^5 - (1225*b^2*c^8*d^2*x^8 + 2650*b^2*c^6*d^2*x^6 + 789*b^2*c^4*d^2*x^4 - 1052*b^2*c^2*d^2*x^2 + 2104*b^2*d^2)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) - 630*(1225*a*b*c^8*d^2*x^8 + 2650*a*b*c^6*d^2*x^6 + 789*a*b*c^4*d^2*x^4 - 1052*a*b*c^2*d^2*x^2 + 2104*a*b*d^2)*sqrt(c^2*x^2 + 1))/c^5","A",0
208,1,348,0,0.587731," ","integrate(x^3*(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{108 \, {\left(32 \, a^{2} + b^{2}\right)} c^{8} d^{2} x^{8} + 8 \, {\left(1152 \, a^{2} + 43 \, b^{2}\right)} c^{6} d^{2} x^{6} + 3 \, {\left(2304 \, a^{2} + 73 \, b^{2}\right)} c^{4} d^{2} x^{4} - 657 \, b^{2} c^{2} d^{2} x^{2} + 9 \, {\left(384 \, b^{2} c^{8} d^{2} x^{8} + 1024 \, b^{2} c^{6} d^{2} x^{6} + 768 \, b^{2} c^{4} d^{2} x^{4} - 73 \, b^{2} d^{2}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 6 \, {\left(1152 \, a b c^{8} d^{2} x^{8} + 3072 \, a b c^{6} d^{2} x^{6} + 2304 \, a b c^{4} d^{2} x^{4} - 219 \, a b d^{2} - {\left(144 \, b^{2} c^{7} d^{2} x^{7} + 344 \, b^{2} c^{5} d^{2} x^{5} + 146 \, b^{2} c^{3} d^{2} x^{3} - 219 \, b^{2} c d^{2} x\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 6 \, {\left(144 \, a b c^{7} d^{2} x^{7} + 344 \, a b c^{5} d^{2} x^{5} + 146 \, a b c^{3} d^{2} x^{3} - 219 \, a b c d^{2} x\right)} \sqrt{c^{2} x^{2} + 1}}{27648 \, c^{4}}"," ",0,"1/27648*(108*(32*a^2 + b^2)*c^8*d^2*x^8 + 8*(1152*a^2 + 43*b^2)*c^6*d^2*x^6 + 3*(2304*a^2 + 73*b^2)*c^4*d^2*x^4 - 657*b^2*c^2*d^2*x^2 + 9*(384*b^2*c^8*d^2*x^8 + 1024*b^2*c^6*d^2*x^6 + 768*b^2*c^4*d^2*x^4 - 73*b^2*d^2)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 6*(1152*a*b*c^8*d^2*x^8 + 3072*a*b*c^6*d^2*x^6 + 2304*a*b*c^4*d^2*x^4 - 219*a*b*d^2 - (144*b^2*c^7*d^2*x^7 + 344*b^2*c^5*d^2*x^5 + 146*b^2*c^3*d^2*x^3 - 219*b^2*c*d^2*x)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) - 6*(144*a*b*c^7*d^2*x^7 + 344*a*b*c^5*d^2*x^5 + 146*a*b*c^3*d^2*x^3 - 219*a*b*c*d^2*x)*sqrt(c^2*x^2 + 1))/c^4","A",0
209,1,327,0,0.668570," ","integrate(x^2*(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{3375 \, {\left(49 \, a^{2} + 2 \, b^{2}\right)} c^{7} d^{2} x^{7} + 378 \, {\left(1225 \, a^{2} + 68 \, b^{2}\right)} c^{5} d^{2} x^{5} + 35 \, {\left(11025 \, a^{2} + 818 \, b^{2}\right)} c^{3} d^{2} x^{3} - 171780 \, b^{2} c d^{2} x + 11025 \, {\left(15 \, b^{2} c^{7} d^{2} x^{7} + 42 \, b^{2} c^{5} d^{2} x^{5} + 35 \, b^{2} c^{3} d^{2} x^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 210 \, {\left(1575 \, a b c^{7} d^{2} x^{7} + 4410 \, a b c^{5} d^{2} x^{5} + 3675 \, a b c^{3} d^{2} x^{3} - {\left(225 \, b^{2} c^{6} d^{2} x^{6} + 612 \, b^{2} c^{4} d^{2} x^{4} + 409 \, b^{2} c^{2} d^{2} x^{2} - 818 \, b^{2} d^{2}\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 210 \, {\left(225 \, a b c^{6} d^{2} x^{6} + 612 \, a b c^{4} d^{2} x^{4} + 409 \, a b c^{2} d^{2} x^{2} - 818 \, a b d^{2}\right)} \sqrt{c^{2} x^{2} + 1}}{1157625 \, c^{3}}"," ",0,"1/1157625*(3375*(49*a^2 + 2*b^2)*c^7*d^2*x^7 + 378*(1225*a^2 + 68*b^2)*c^5*d^2*x^5 + 35*(11025*a^2 + 818*b^2)*c^3*d^2*x^3 - 171780*b^2*c*d^2*x + 11025*(15*b^2*c^7*d^2*x^7 + 42*b^2*c^5*d^2*x^5 + 35*b^2*c^3*d^2*x^3)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 210*(1575*a*b*c^7*d^2*x^7 + 4410*a*b*c^5*d^2*x^5 + 3675*a*b*c^3*d^2*x^3 - (225*b^2*c^6*d^2*x^6 + 612*b^2*c^4*d^2*x^4 + 409*b^2*c^2*d^2*x^2 - 818*b^2*d^2)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) - 210*(225*a*b*c^6*d^2*x^6 + 612*a*b*c^4*d^2*x^4 + 409*a*b*c^2*d^2*x^2 - 818*a*b*d^2)*sqrt(c^2*x^2 + 1))/c^3","A",0
210,1,307,0,0.562730," ","integrate(x*(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{8 \, {\left(18 \, a^{2} + b^{2}\right)} c^{6} d^{2} x^{6} + 3 \, {\left(144 \, a^{2} + 13 \, b^{2}\right)} c^{4} d^{2} x^{4} + 9 \, {\left(48 \, a^{2} + 11 \, b^{2}\right)} c^{2} d^{2} x^{2} + 9 \, {\left(16 \, b^{2} c^{6} d^{2} x^{6} + 48 \, b^{2} c^{4} d^{2} x^{4} + 48 \, b^{2} c^{2} d^{2} x^{2} + 11 \, b^{2} d^{2}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 6 \, {\left(48 \, a b c^{6} d^{2} x^{6} + 144 \, a b c^{4} d^{2} x^{4} + 144 \, a b c^{2} d^{2} x^{2} + 33 \, a b d^{2} - {\left(8 \, b^{2} c^{5} d^{2} x^{5} + 26 \, b^{2} c^{3} d^{2} x^{3} + 33 \, b^{2} c d^{2} x\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 6 \, {\left(8 \, a b c^{5} d^{2} x^{5} + 26 \, a b c^{3} d^{2} x^{3} + 33 \, a b c d^{2} x\right)} \sqrt{c^{2} x^{2} + 1}}{864 \, c^{2}}"," ",0,"1/864*(8*(18*a^2 + b^2)*c^6*d^2*x^6 + 3*(144*a^2 + 13*b^2)*c^4*d^2*x^4 + 9*(48*a^2 + 11*b^2)*c^2*d^2*x^2 + 9*(16*b^2*c^6*d^2*x^6 + 48*b^2*c^4*d^2*x^4 + 48*b^2*c^2*d^2*x^2 + 11*b^2*d^2)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 6*(48*a*b*c^6*d^2*x^6 + 144*a*b*c^4*d^2*x^4 + 144*a*b*c^2*d^2*x^2 + 33*a*b*d^2 - (8*b^2*c^5*d^2*x^5 + 26*b^2*c^3*d^2*x^3 + 33*b^2*c*d^2*x)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) - 6*(8*a*b*c^5*d^2*x^5 + 26*a*b*c^3*d^2*x^3 + 33*a*b*c*d^2*x)*sqrt(c^2*x^2 + 1))/c^2","A",0
211,1,278,0,0.623190," ","integrate((c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{27 \, {\left(25 \, a^{2} + 2 \, b^{2}\right)} c^{5} d^{2} x^{5} + 10 \, {\left(225 \, a^{2} + 38 \, b^{2}\right)} c^{3} d^{2} x^{3} + 15 \, {\left(225 \, a^{2} + 298 \, b^{2}\right)} c d^{2} x + 225 \, {\left(3 \, b^{2} c^{5} d^{2} x^{5} + 10 \, b^{2} c^{3} d^{2} x^{3} + 15 \, b^{2} c d^{2} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 30 \, {\left(45 \, a b c^{5} d^{2} x^{5} + 150 \, a b c^{3} d^{2} x^{3} + 225 \, a b c d^{2} x - {\left(9 \, b^{2} c^{4} d^{2} x^{4} + 38 \, b^{2} c^{2} d^{2} x^{2} + 149 \, b^{2} d^{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} d^{2} x^{4} + 38 \, a b c^{2} d^{2} x^{2} + 149 \, a b d^{2}\right)} \sqrt{c^{2} x^{2} + 1}}{3375 \, c}"," ",0,"1/3375*(27*(25*a^2 + 2*b^2)*c^5*d^2*x^5 + 10*(225*a^2 + 38*b^2)*c^3*d^2*x^3 + 15*(225*a^2 + 298*b^2)*c*d^2*x + 225*(3*b^2*c^5*d^2*x^5 + 10*b^2*c^3*d^2*x^3 + 15*b^2*c*d^2*x)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 30*(45*a*b*c^5*d^2*x^5 + 150*a*b*c^3*d^2*x^3 + 225*a*b*c*d^2*x - (9*b^2*c^4*d^2*x^4 + 38*b^2*c^2*d^2*x^2 + 149*b^2*d^2)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) - 30*(9*a*b*c^4*d^2*x^4 + 38*a*b*c^2*d^2*x^2 + 149*a*b*d^2)*sqrt(c^2*x^2 + 1))/c","A",0
212,0,0,0,0.622211," ","integrate((c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{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{arsinh}\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{arsinh}\left(c x\right)}{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)*arcsinh(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)*arcsinh(c*x))/x, x)","F",0
213,0,0,0,0.577773," ","integrate((c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{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{arsinh}\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{arsinh}\left(c x\right)}{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)*arcsinh(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)*arcsinh(c*x))/x^2, x)","F",0
214,0,0,0,0.537974," ","integrate((c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{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{arsinh}\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{arsinh}\left(c x\right)}{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)*arcsinh(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)*arcsinh(c*x))/x^3, x)","F",0
215,0,0,0,0.723517," ","integrate((c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{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{arsinh}\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{arsinh}\left(c x\right)}{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)*arcsinh(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)*arcsinh(c*x))/x^4, x)","F",0
216,1,444,0,0.595640," ","integrate(x^4*(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{10418625 \, {\left(121 \, a^{2} + 2 \, b^{2}\right)} c^{11} d^{3} x^{11} + 471625 \, {\left(9801 \, a^{2} + 182 \, b^{2}\right)} c^{9} d^{3} x^{9} + 12375 \, {\left(480249 \, a^{2} + 9410 \, b^{2}\right)} c^{7} d^{3} x^{7} + 2079 \, {\left(1334025 \, a^{2} + 12622 \, b^{2}\right)} c^{5} d^{3} x^{5} - 58313640 \, b^{2} c^{3} d^{3} x^{3} + 349881840 \, b^{2} c d^{3} x + 12006225 \, {\left(105 \, b^{2} c^{11} d^{3} x^{11} + 385 \, b^{2} c^{9} d^{3} x^{9} + 495 \, b^{2} c^{7} d^{3} x^{7} + 231 \, b^{2} c^{5} d^{3} x^{5}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 6930 \, {\left(363825 \, a b c^{11} d^{3} x^{11} + 1334025 \, a b c^{9} d^{3} x^{9} + 1715175 \, a b c^{7} d^{3} x^{7} + 800415 \, a b c^{5} d^{3} x^{5} - {\left(33075 \, b^{2} c^{10} d^{3} x^{10} + 111475 \, b^{2} c^{8} d^{3} x^{8} + 117625 \, b^{2} c^{6} d^{3} x^{6} + 18933 \, b^{2} c^{4} d^{3} x^{4} - 25244 \, b^{2} c^{2} d^{3} x^{2} + 50488 \, b^{2} d^{3}\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 6930 \, {\left(33075 \, a b c^{10} d^{3} x^{10} + 111475 \, a b c^{8} d^{3} x^{8} + 117625 \, a b c^{6} d^{3} x^{6} + 18933 \, a b c^{4} d^{3} x^{4} - 25244 \, a b c^{2} d^{3} x^{2} + 50488 \, a b d^{3}\right)} \sqrt{c^{2} x^{2} + 1}}{13867189875 \, c^{5}}"," ",0,"1/13867189875*(10418625*(121*a^2 + 2*b^2)*c^11*d^3*x^11 + 471625*(9801*a^2 + 182*b^2)*c^9*d^3*x^9 + 12375*(480249*a^2 + 9410*b^2)*c^7*d^3*x^7 + 2079*(1334025*a^2 + 12622*b^2)*c^5*d^3*x^5 - 58313640*b^2*c^3*d^3*x^3 + 349881840*b^2*c*d^3*x + 12006225*(105*b^2*c^11*d^3*x^11 + 385*b^2*c^9*d^3*x^9 + 495*b^2*c^7*d^3*x^7 + 231*b^2*c^5*d^3*x^5)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 6930*(363825*a*b*c^11*d^3*x^11 + 1334025*a*b*c^9*d^3*x^9 + 1715175*a*b*c^7*d^3*x^7 + 800415*a*b*c^5*d^3*x^5 - (33075*b^2*c^10*d^3*x^10 + 111475*b^2*c^8*d^3*x^8 + 117625*b^2*c^6*d^3*x^6 + 18933*b^2*c^4*d^3*x^4 - 25244*b^2*c^2*d^3*x^2 + 50488*b^2*d^3)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) - 6930*(33075*a*b*c^10*d^3*x^10 + 111475*a*b*c^8*d^3*x^8 + 117625*a*b*c^6*d^3*x^6 + 18933*a*b*c^4*d^3*x^4 - 25244*a*b*c^2*d^3*x^2 + 50488*a*b*d^3)*sqrt(c^2*x^2 + 1))/c^5","A",0
217,1,424,0,0.653243," ","integrate(x^3*(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{2304 \, {\left(50 \, a^{2} + b^{2}\right)} c^{10} d^{3} x^{10} + 540 \, {\left(800 \, a^{2} + 19 \, b^{2}\right)} c^{8} d^{3} x^{8} + 40 \, {\left(14400 \, a^{2} + 401 \, b^{2}\right)} c^{6} d^{3} x^{6} + 75 \, {\left(3840 \, a^{2} + 79 \, b^{2}\right)} c^{4} d^{3} x^{4} - 17775 \, b^{2} c^{2} d^{3} x^{2} + 225 \, {\left(512 \, b^{2} c^{10} d^{3} x^{10} + 1920 \, b^{2} c^{8} d^{3} x^{8} + 2560 \, b^{2} c^{6} d^{3} x^{6} + 1280 \, b^{2} c^{4} d^{3} x^{4} - 79 \, b^{2} d^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 30 \, {\left(7680 \, a b c^{10} d^{3} x^{10} + 28800 \, a b c^{8} d^{3} x^{8} + 38400 \, a b c^{6} d^{3} x^{6} + 19200 \, a b c^{4} d^{3} x^{4} - 1185 \, a b d^{3} - {\left(768 \, b^{2} c^{9} d^{3} x^{9} + 2736 \, b^{2} c^{7} d^{3} x^{7} + 3208 \, b^{2} c^{5} d^{3} x^{5} + 790 \, b^{2} c^{3} d^{3} x^{3} - 1185 \, b^{2} c d^{3} x\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 30 \, {\left(768 \, a b c^{9} d^{3} x^{9} + 2736 \, a b c^{7} d^{3} x^{7} + 3208 \, a b c^{5} d^{3} x^{5} + 790 \, a b c^{3} d^{3} x^{3} - 1185 \, a b c d^{3} x\right)} \sqrt{c^{2} x^{2} + 1}}{1152000 \, c^{4}}"," ",0,"1/1152000*(2304*(50*a^2 + b^2)*c^10*d^3*x^10 + 540*(800*a^2 + 19*b^2)*c^8*d^3*x^8 + 40*(14400*a^2 + 401*b^2)*c^6*d^3*x^6 + 75*(3840*a^2 + 79*b^2)*c^4*d^3*x^4 - 17775*b^2*c^2*d^3*x^2 + 225*(512*b^2*c^10*d^3*x^10 + 1920*b^2*c^8*d^3*x^8 + 2560*b^2*c^6*d^3*x^6 + 1280*b^2*c^4*d^3*x^4 - 79*b^2*d^3)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 30*(7680*a*b*c^10*d^3*x^10 + 28800*a*b*c^8*d^3*x^8 + 38400*a*b*c^6*d^3*x^6 + 19200*a*b*c^4*d^3*x^4 - 1185*a*b*d^3 - (768*b^2*c^9*d^3*x^9 + 2736*b^2*c^7*d^3*x^7 + 3208*b^2*c^5*d^3*x^5 + 790*b^2*c^3*d^3*x^3 - 1185*b^2*c*d^3*x)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) - 30*(768*a*b*c^9*d^3*x^9 + 2736*a*b*c^7*d^3*x^7 + 3208*a*b*c^5*d^3*x^5 + 790*a*b*c^3*d^3*x^3 - 1185*a*b*c*d^3*x)*sqrt(c^2*x^2 + 1))/c^4","A",0
218,1,403,0,0.575738," ","integrate(x^2*(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{42875 \, {\left(81 \, a^{2} + 2 \, b^{2}\right)} c^{9} d^{3} x^{9} + 1125 \, {\left(11907 \, a^{2} + 374 \, b^{2}\right)} c^{7} d^{3} x^{7} + 189 \, {\left(99225 \, a^{2} + 4198 \, b^{2}\right)} c^{5} d^{3} x^{5} + 105 \, {\left(99225 \, a^{2} + 5258 \, b^{2}\right)} c^{3} d^{3} x^{3} - 3312540 \, b^{2} c d^{3} x + 99225 \, {\left(35 \, b^{2} c^{9} d^{3} x^{9} + 135 \, b^{2} c^{7} d^{3} x^{7} + 189 \, b^{2} c^{5} d^{3} x^{5} + 105 \, b^{2} c^{3} d^{3} x^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 630 \, {\left(11025 \, a b c^{9} d^{3} x^{9} + 42525 \, a b c^{7} d^{3} x^{7} + 59535 \, a b c^{5} d^{3} x^{5} + 33075 \, a b c^{3} d^{3} x^{3} - {\left(1225 \, b^{2} c^{8} d^{3} x^{8} + 4675 \, b^{2} c^{6} d^{3} x^{6} + 6297 \, b^{2} c^{4} d^{3} x^{4} + 2629 \, b^{2} c^{2} d^{3} x^{2} - 5258 \, b^{2} d^{3}\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 630 \, {\left(1225 \, a b c^{8} d^{3} x^{8} + 4675 \, a b c^{6} d^{3} x^{6} + 6297 \, a b c^{4} d^{3} x^{4} + 2629 \, a b c^{2} d^{3} x^{2} - 5258 \, a b d^{3}\right)} \sqrt{c^{2} x^{2} + 1}}{31255875 \, c^{3}}"," ",0,"1/31255875*(42875*(81*a^2 + 2*b^2)*c^9*d^3*x^9 + 1125*(11907*a^2 + 374*b^2)*c^7*d^3*x^7 + 189*(99225*a^2 + 4198*b^2)*c^5*d^3*x^5 + 105*(99225*a^2 + 5258*b^2)*c^3*d^3*x^3 - 3312540*b^2*c*d^3*x + 99225*(35*b^2*c^9*d^3*x^9 + 135*b^2*c^7*d^3*x^7 + 189*b^2*c^5*d^3*x^5 + 105*b^2*c^3*d^3*x^3)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 630*(11025*a*b*c^9*d^3*x^9 + 42525*a*b*c^7*d^3*x^7 + 59535*a*b*c^5*d^3*x^5 + 33075*a*b*c^3*d^3*x^3 - (1225*b^2*c^8*d^3*x^8 + 4675*b^2*c^6*d^3*x^6 + 6297*b^2*c^4*d^3*x^4 + 2629*b^2*c^2*d^3*x^2 - 5258*b^2*d^3)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) - 630*(1225*a*b*c^8*d^3*x^8 + 4675*a*b*c^6*d^3*x^6 + 6297*a*b*c^4*d^3*x^4 + 2629*a*b*c^2*d^3*x^2 - 5258*a*b*d^3)*sqrt(c^2*x^2 + 1))/c^3","A",0
219,1,383,0,0.537113," ","integrate(x*(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{36 \, {\left(32 \, a^{2} + b^{2}\right)} c^{8} d^{3} x^{8} + 8 \, {\left(576 \, a^{2} + 25 \, b^{2}\right)} c^{6} d^{3} x^{6} + 3 \, {\left(2304 \, a^{2} + 163 \, b^{2}\right)} c^{4} d^{3} x^{4} + 9 \, {\left(512 \, a^{2} + 93 \, b^{2}\right)} c^{2} d^{3} x^{2} + 9 \, {\left(128 \, b^{2} c^{8} d^{3} x^{8} + 512 \, b^{2} c^{6} d^{3} x^{6} + 768 \, b^{2} c^{4} d^{3} x^{4} + 512 \, b^{2} c^{2} d^{3} x^{2} + 93 \, b^{2} d^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 6 \, {\left(384 \, a b c^{8} d^{3} x^{8} + 1536 \, a b c^{6} d^{3} x^{6} + 2304 \, a b c^{4} d^{3} x^{4} + 1536 \, a b c^{2} d^{3} x^{2} + 279 \, a b d^{3} - {\left(48 \, b^{2} c^{7} d^{3} x^{7} + 200 \, b^{2} c^{5} d^{3} x^{5} + 326 \, b^{2} c^{3} d^{3} x^{3} + 279 \, b^{2} c d^{3} x\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 6 \, {\left(48 \, a b c^{7} d^{3} x^{7} + 200 \, a b c^{5} d^{3} x^{5} + 326 \, a b c^{3} d^{3} x^{3} + 279 \, a b c d^{3} x\right)} \sqrt{c^{2} x^{2} + 1}}{9216 \, c^{2}}"," ",0,"1/9216*(36*(32*a^2 + b^2)*c^8*d^3*x^8 + 8*(576*a^2 + 25*b^2)*c^6*d^3*x^6 + 3*(2304*a^2 + 163*b^2)*c^4*d^3*x^4 + 9*(512*a^2 + 93*b^2)*c^2*d^3*x^2 + 9*(128*b^2*c^8*d^3*x^8 + 512*b^2*c^6*d^3*x^6 + 768*b^2*c^4*d^3*x^4 + 512*b^2*c^2*d^3*x^2 + 93*b^2*d^3)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 6*(384*a*b*c^8*d^3*x^8 + 1536*a*b*c^6*d^3*x^6 + 2304*a*b*c^4*d^3*x^4 + 1536*a*b*c^2*d^3*x^2 + 279*a*b*d^3 - (48*b^2*c^7*d^3*x^7 + 200*b^2*c^5*d^3*x^5 + 326*b^2*c^3*d^3*x^3 + 279*b^2*c*d^3*x)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) - 6*(48*a*b*c^7*d^3*x^7 + 200*a*b*c^5*d^3*x^5 + 326*a*b*c^3*d^3*x^3 + 279*a*b*c*d^3*x)*sqrt(c^2*x^2 + 1))/c^2","A",0
220,1,354,0,0.731333," ","integrate((c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{1125 \, {\left(49 \, a^{2} + 2 \, b^{2}\right)} c^{7} d^{3} x^{7} + 189 \, {\left(1225 \, a^{2} + 78 \, b^{2}\right)} c^{5} d^{3} x^{5} + 35 \, {\left(11025 \, a^{2} + 1514 \, b^{2}\right)} c^{3} d^{3} x^{3} + 105 \, {\left(3675 \, a^{2} + 4322 \, b^{2}\right)} c d^{3} x + 11025 \, {\left(5 \, b^{2} c^{7} d^{3} x^{7} + 21 \, b^{2} c^{5} d^{3} x^{5} + 35 \, b^{2} c^{3} d^{3} x^{3} + 35 \, b^{2} c d^{3} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 210 \, {\left(525 \, a b c^{7} d^{3} x^{7} + 2205 \, a b c^{5} d^{3} x^{5} + 3675 \, a b c^{3} d^{3} x^{3} + 3675 \, a b c d^{3} x - {\left(75 \, b^{2} c^{6} d^{3} x^{6} + 351 \, b^{2} c^{4} d^{3} x^{4} + 757 \, b^{2} c^{2} d^{3} x^{2} + 2161 \, b^{2} d^{3}\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} d^{3} x^{6} + 351 \, a b c^{4} d^{3} x^{4} + 757 \, a b c^{2} d^{3} x^{2} + 2161 \, a b d^{3}\right)} \sqrt{c^{2} x^{2} + 1}}{385875 \, c}"," ",0,"1/385875*(1125*(49*a^2 + 2*b^2)*c^7*d^3*x^7 + 189*(1225*a^2 + 78*b^2)*c^5*d^3*x^5 + 35*(11025*a^2 + 1514*b^2)*c^3*d^3*x^3 + 105*(3675*a^2 + 4322*b^2)*c*d^3*x + 11025*(5*b^2*c^7*d^3*x^7 + 21*b^2*c^5*d^3*x^5 + 35*b^2*c^3*d^3*x^3 + 35*b^2*c*d^3*x)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 210*(525*a*b*c^7*d^3*x^7 + 2205*a*b*c^5*d^3*x^5 + 3675*a*b*c^3*d^3*x^3 + 3675*a*b*c*d^3*x - (75*b^2*c^6*d^3*x^6 + 351*b^2*c^4*d^3*x^4 + 757*b^2*c^2*d^3*x^2 + 2161*b^2*d^3)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) - 210*(75*a*b*c^6*d^3*x^6 + 351*a*b*c^4*d^3*x^4 + 757*a*b*c^2*d^3*x^2 + 2161*a*b*d^3)*sqrt(c^2*x^2 + 1))/c","A",0
221,0,0,0,0.645839," ","integrate((c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} c^{6} d^{3} x^{6} + 3 \, a^{2} c^{4} d^{3} x^{4} + 3 \, a^{2} c^{2} d^{3} x^{2} + a^{2} d^{3} + {\left(b^{2} c^{6} d^{3} x^{6} + 3 \, b^{2} c^{4} d^{3} x^{4} + 3 \, b^{2} c^{2} d^{3} x^{2} + b^{2} d^{3}\right)} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{6} d^{3} x^{6} + 3 \, a b c^{4} d^{3} x^{4} + 3 \, a b c^{2} d^{3} x^{2} + a b d^{3}\right)} \operatorname{arsinh}\left(c x\right)}{x}, x\right)"," ",0,"integral((a^2*c^6*d^3*x^6 + 3*a^2*c^4*d^3*x^4 + 3*a^2*c^2*d^3*x^2 + a^2*d^3 + (b^2*c^6*d^3*x^6 + 3*b^2*c^4*d^3*x^4 + 3*b^2*c^2*d^3*x^2 + b^2*d^3)*arcsinh(c*x)^2 + 2*(a*b*c^6*d^3*x^6 + 3*a*b*c^4*d^3*x^4 + 3*a*b*c^2*d^3*x^2 + a*b*d^3)*arcsinh(c*x))/x, x)","F",0
222,0,0,0,0.695030," ","integrate((c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} c^{6} d^{3} x^{6} + 3 \, a^{2} c^{4} d^{3} x^{4} + 3 \, a^{2} c^{2} d^{3} x^{2} + a^{2} d^{3} + {\left(b^{2} c^{6} d^{3} x^{6} + 3 \, b^{2} c^{4} d^{3} x^{4} + 3 \, b^{2} c^{2} d^{3} x^{2} + b^{2} d^{3}\right)} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{6} d^{3} x^{6} + 3 \, a b c^{4} d^{3} x^{4} + 3 \, a b c^{2} d^{3} x^{2} + a b d^{3}\right)} \operatorname{arsinh}\left(c x\right)}{x^{2}}, x\right)"," ",0,"integral((a^2*c^6*d^3*x^6 + 3*a^2*c^4*d^3*x^4 + 3*a^2*c^2*d^3*x^2 + a^2*d^3 + (b^2*c^6*d^3*x^6 + 3*b^2*c^4*d^3*x^4 + 3*b^2*c^2*d^3*x^2 + b^2*d^3)*arcsinh(c*x)^2 + 2*(a*b*c^6*d^3*x^6 + 3*a*b*c^4*d^3*x^4 + 3*a*b*c^2*d^3*x^2 + a*b*d^3)*arcsinh(c*x))/x^2, x)","F",0
223,0,0,0,0.681483," ","integrate((c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} c^{6} d^{3} x^{6} + 3 \, a^{2} c^{4} d^{3} x^{4} + 3 \, a^{2} c^{2} d^{3} x^{2} + a^{2} d^{3} + {\left(b^{2} c^{6} d^{3} x^{6} + 3 \, b^{2} c^{4} d^{3} x^{4} + 3 \, b^{2} c^{2} d^{3} x^{2} + b^{2} d^{3}\right)} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{6} d^{3} x^{6} + 3 \, a b c^{4} d^{3} x^{4} + 3 \, a b c^{2} d^{3} x^{2} + a b d^{3}\right)} \operatorname{arsinh}\left(c x\right)}{x^{3}}, x\right)"," ",0,"integral((a^2*c^6*d^3*x^6 + 3*a^2*c^4*d^3*x^4 + 3*a^2*c^2*d^3*x^2 + a^2*d^3 + (b^2*c^6*d^3*x^6 + 3*b^2*c^4*d^3*x^4 + 3*b^2*c^2*d^3*x^2 + b^2*d^3)*arcsinh(c*x)^2 + 2*(a*b*c^6*d^3*x^6 + 3*a*b*c^4*d^3*x^4 + 3*a*b*c^2*d^3*x^2 + a*b*d^3)*arcsinh(c*x))/x^3, x)","F",0
224,0,0,0,0.558625," ","integrate((c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} c^{6} d^{3} x^{6} + 3 \, a^{2} c^{4} d^{3} x^{4} + 3 \, a^{2} c^{2} d^{3} x^{2} + a^{2} d^{3} + {\left(b^{2} c^{6} d^{3} x^{6} + 3 \, b^{2} c^{4} d^{3} x^{4} + 3 \, b^{2} c^{2} d^{3} x^{2} + b^{2} d^{3}\right)} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{6} d^{3} x^{6} + 3 \, a b c^{4} d^{3} x^{4} + 3 \, a b c^{2} d^{3} x^{2} + a b d^{3}\right)} \operatorname{arsinh}\left(c x\right)}{x^{4}}, x\right)"," ",0,"integral((a^2*c^6*d^3*x^6 + 3*a^2*c^4*d^3*x^4 + 3*a^2*c^2*d^3*x^2 + a^2*d^3 + (b^2*c^6*d^3*x^6 + 3*b^2*c^4*d^3*x^4 + 3*b^2*c^2*d^3*x^2 + b^2*d^3)*arcsinh(c*x)^2 + 2*(a*b*c^6*d^3*x^6 + 3*a*b*c^4*d^3*x^4 + 3*a*b*c^2*d^3*x^2 + a*b*d^3)*arcsinh(c*x))/x^4, x)","F",0
225,0,0,0,0.515298," ","integrate(x^4*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{4} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{4} \operatorname{arsinh}\left(c x\right) + a^{2} x^{4}}{c^{2} d x^{2} + d}, x\right)"," ",0,"integral((b^2*x^4*arcsinh(c*x)^2 + 2*a*b*x^4*arcsinh(c*x) + a^2*x^4)/(c^2*d*x^2 + d), x)","F",0
226,0,0,0,0.654164," ","integrate(x^3*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{3} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{3} \operatorname{arsinh}\left(c x\right) + a^{2} x^{3}}{c^{2} d x^{2} + d}, x\right)"," ",0,"integral((b^2*x^3*arcsinh(c*x)^2 + 2*a*b*x^3*arcsinh(c*x) + a^2*x^3)/(c^2*d*x^2 + d), x)","F",0
227,0,0,0,0.677977," ","integrate(x^2*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arsinh}\left(c x\right) + a^{2} x^{2}}{c^{2} d x^{2} + d}, x\right)"," ",0,"integral((b^2*x^2*arcsinh(c*x)^2 + 2*a*b*x^2*arcsinh(c*x) + a^2*x^2)/(c^2*d*x^2 + d), x)","F",0
228,0,0,0,0.588137," ","integrate(x*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x \operatorname{arsinh}\left(c x\right) + a^{2} x}{c^{2} d x^{2} + d}, x\right)"," ",0,"integral((b^2*x*arcsinh(c*x)^2 + 2*a*b*x*arcsinh(c*x) + a^2*x)/(c^2*d*x^2 + d), x)","F",0
229,0,0,0,0.647819," ","integrate((a+b*arcsinh(c*x))^2/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{c^{2} d x^{2} + d}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^2*d*x^2 + d), x)","F",0
230,0,0,0,0.586237," ","integrate((a+b*arcsinh(c*x))^2/x/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{c^{2} d x^{3} + d x}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^2*d*x^3 + d*x), x)","F",0
231,0,0,0,0.646310," ","integrate((a+b*arcsinh(c*x))^2/x^2/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{c^{2} d x^{4} + d x^{2}}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^2*d*x^4 + d*x^2), x)","F",0
232,0,0,0,0.559685," ","integrate((a+b*arcsinh(c*x))^2/x^3/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{c^{2} d x^{5} + d x^{3}}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^2*d*x^5 + d*x^3), x)","F",0
233,0,0,0,0.641081," ","integrate((a+b*arcsinh(c*x))^2/x^4/(c^2*d*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{c^{2} d x^{6} + d x^{4}}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^2*d*x^6 + d*x^4), x)","F",0
234,0,0,0,0.611233," ","integrate(x^4*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{4} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{4} \operatorname{arsinh}\left(c x\right) + a^{2} x^{4}}{c^{4} d^{2} x^{4} + 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((b^2*x^4*arcsinh(c*x)^2 + 2*a*b*x^4*arcsinh(c*x) + a^2*x^4)/(c^4*d^2*x^4 + 2*c^2*d^2*x^2 + d^2), x)","F",0
235,0,0,0,0.693000," ","integrate(x^3*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{3} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{3} \operatorname{arsinh}\left(c x\right) + a^{2} x^{3}}{c^{4} d^{2} x^{4} + 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((b^2*x^3*arcsinh(c*x)^2 + 2*a*b*x^3*arcsinh(c*x) + a^2*x^3)/(c^4*d^2*x^4 + 2*c^2*d^2*x^2 + d^2), x)","F",0
236,0,0,0,0.694462," ","integrate(x^2*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arsinh}\left(c x\right) + a^{2} x^{2}}{c^{4} d^{2} x^{4} + 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((b^2*x^2*arcsinh(c*x)^2 + 2*a*b*x^2*arcsinh(c*x) + a^2*x^2)/(c^4*d^2*x^4 + 2*c^2*d^2*x^2 + d^2), x)","F",0
237,1,185,0,0.609692," ","integrate(x*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","\frac{2 \, a b c^{2} x^{2} + 2 \, \sqrt{c^{2} x^{2} + 1} a b c x - b^{2} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} - a^{2} + 2 \, a b - {\left(b^{2} c^{2} x^{2} + b^{2}\right)} \log\left(c^{2} x^{2} + 1\right) + 2 \, {\left(a b c^{2} x^{2} + \sqrt{c^{2} x^{2} + 1} b^{2} c x\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + 2 \, {\left(a b c^{2} x^{2} + a b\right)} \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*(2*a*b*c^2*x^2 + 2*sqrt(c^2*x^2 + 1)*a*b*c*x - b^2*log(c*x + sqrt(c^2*x^2 + 1))^2 - a^2 + 2*a*b - (b^2*c^2*x^2 + b^2)*log(c^2*x^2 + 1) + 2*(a*b*c^2*x^2 + sqrt(c^2*x^2 + 1)*b^2*c*x)*log(c*x + sqrt(c^2*x^2 + 1)) + 2*(a*b*c^2*x^2 + a*b)*log(-c*x + sqrt(c^2*x^2 + 1)))/(c^4*d^2*x^2 + c^2*d^2)","B",0
238,0,0,0,0.561646," ","integrate((a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{c^{4} d^{2} x^{4} + 2 \, c^{2} d^{2} x^{2} + d^{2}}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^4*d^2*x^4 + 2*c^2*d^2*x^2 + d^2), x)","F",0
239,0,0,0,0.729893," ","integrate((a+b*arcsinh(c*x))^2/x/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{c^{4} d^{2} x^{5} + 2 \, c^{2} d^{2} x^{3} + d^{2} x}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^4*d^2*x^5 + 2*c^2*d^2*x^3 + d^2*x), x)","F",0
240,0,0,0,0.668193," ","integrate((a+b*arcsinh(c*x))^2/x^2/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{c^{4} d^{2} x^{6} + 2 \, c^{2} d^{2} x^{4} + d^{2} x^{2}}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^4*d^2*x^6 + 2*c^2*d^2*x^4 + d^2*x^2), x)","F",0
241,0,0,0,0.562505," ","integrate((a+b*arcsinh(c*x))^2/x^3/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{c^{4} d^{2} x^{7} + 2 \, c^{2} d^{2} x^{5} + d^{2} x^{3}}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^4*d^2*x^7 + 2*c^2*d^2*x^5 + d^2*x^3), x)","F",0
242,0,0,0,0.622705," ","integrate((a+b*arcsinh(c*x))^2/x^4/(c^2*d*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{c^{4} d^{2} x^{8} + 2 \, c^{2} d^{2} x^{6} + d^{2} x^{4}}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^4*d^2*x^8 + 2*c^2*d^2*x^6 + d^2*x^4), x)","F",0
243,0,0,0,0.639050," ","integrate(x^4*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{4} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{4} \operatorname{arsinh}\left(c x\right) + a^{2} 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^2*x^4*arcsinh(c*x)^2 + 2*a*b*x^4*arcsinh(c*x) + a^2*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
244,1,283,0,0.433243," ","integrate(x^3*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","\frac{8 \, a b c^{4} x^{4} - {\left(6 \, a^{2} - 16 \, a b + b^{2}\right)} c^{2} x^{2} - 3 \, {\left(2 \, b^{2} c^{2} x^{2} + b^{2}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} - 3 \, a^{2} + 8 \, a b - b^{2} - 4 \, {\left(b^{2} c^{4} x^{4} + 2 \, b^{2} c^{2} x^{2} + b^{2}\right)} \log\left(c^{2} x^{2} + 1\right) + 2 \, {\left(3 \, a b c^{4} x^{4} + {\left(4 \, b^{2} c^{3} x^{3} + 3 \, b^{2} c x\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + 6 \, {\left(a b c^{4} x^{4} + 2 \, a b c^{2} x^{2} + a b\right)} \log\left(-c x + \sqrt{c^{2} x^{2} + 1}\right) + 2 \, {\left(4 \, a b c^{3} x^{3} + 3 \, a 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*(8*a*b*c^4*x^4 - (6*a^2 - 16*a*b + b^2)*c^2*x^2 - 3*(2*b^2*c^2*x^2 + b^2)*log(c*x + sqrt(c^2*x^2 + 1))^2 - 3*a^2 + 8*a*b - b^2 - 4*(b^2*c^4*x^4 + 2*b^2*c^2*x^2 + b^2)*log(c^2*x^2 + 1) + 2*(3*a*b*c^4*x^4 + (4*b^2*c^3*x^3 + 3*b^2*c*x)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) + 6*(a*b*c^4*x^4 + 2*a*b*c^2*x^2 + a*b)*log(-c*x + sqrt(c^2*x^2 + 1)) + 2*(4*a*b*c^3*x^3 + 3*a*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
245,0,0,0,0.657140," ","integrate(x^2*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arsinh}\left(c x\right) + a^{2} 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^2*x^2*arcsinh(c*x)^2 + 2*a*b*x^2*arcsinh(c*x) + a^2*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
246,1,273,0,0.575489," ","integrate(x*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","\frac{4 \, a b c^{4} x^{4} + {\left(8 \, a b + b^{2}\right)} c^{2} x^{2} - 3 \, b^{2} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} - 3 \, a^{2} + 4 \, a b + b^{2} - 2 \, {\left(b^{2} c^{4} x^{4} + 2 \, b^{2} c^{2} x^{2} + b^{2}\right)} \log\left(c^{2} x^{2} + 1\right) + 2 \, {\left(3 \, a b c^{4} x^{4} + 6 \, a b c^{2} x^{2} + {\left(2 \, b^{2} c^{3} x^{3} + 3 \, b^{2} c x\right)} \sqrt{c^{2} x^{2} + 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + 6 \, {\left(a b c^{4} x^{4} + 2 \, a b c^{2} x^{2} + a b\right)} \log\left(-c x + \sqrt{c^{2} x^{2} + 1}\right) + 2 \, {\left(2 \, a b c^{3} x^{3} + 3 \, a 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*(4*a*b*c^4*x^4 + (8*a*b + b^2)*c^2*x^2 - 3*b^2*log(c*x + sqrt(c^2*x^2 + 1))^2 - 3*a^2 + 4*a*b + b^2 - 2*(b^2*c^4*x^4 + 2*b^2*c^2*x^2 + b^2)*log(c^2*x^2 + 1) + 2*(3*a*b*c^4*x^4 + 6*a*b*c^2*x^2 + (2*b^2*c^3*x^3 + 3*b^2*c*x)*sqrt(c^2*x^2 + 1))*log(c*x + sqrt(c^2*x^2 + 1)) + 6*(a*b*c^4*x^4 + 2*a*b*c^2*x^2 + a*b)*log(-c*x + sqrt(c^2*x^2 + 1)) + 2*(2*a*b*c^3*x^3 + 3*a*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)","B",0
247,0,0,0,0.601574," ","integrate((a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + 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\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(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
248,0,0,0,0.651362," ","integrate((a+b*arcsinh(c*x))^2/x/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + 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\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(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
249,0,0,0,0.613709," ","integrate((a+b*arcsinh(c*x))^2/x^2/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + 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\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(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
250,0,0,0,0.586755," ","integrate((a+b*arcsinh(c*x))^2/x^3/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + 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\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(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
251,0,0,0,0.508624," ","integrate((a+b*arcsinh(c*x))^2/x^4/(c^2*d*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + 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\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(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
252,0,0,0,0.592940," ","integrate((pi*c^2*x^2+pi)^(5/2)*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi^{2} a^{2} c^{4} x^{4} + 2 \, \pi^{2} a^{2} c^{2} x^{2} + \pi^{2} a^{2} + {\left(\pi^{2} b^{2} c^{4} x^{4} + 2 \, \pi^{2} b^{2} c^{2} x^{2} + \pi^{2} b^{2}\right)} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, {\left(\pi^{2} a b c^{4} x^{4} + 2 \, \pi^{2} a b c^{2} x^{2} + \pi^{2} a b\right)} \operatorname{arsinh}\left(c x\right)\right)}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(pi^2*a^2*c^4*x^4 + 2*pi^2*a^2*c^2*x^2 + pi^2*a^2 + (pi^2*b^2*c^4*x^4 + 2*pi^2*b^2*c^2*x^2 + pi^2*b^2)*arcsinh(c*x)^2 + 2*(pi^2*a*b*c^4*x^4 + 2*pi^2*a*b*c^2*x^2 + pi^2*a*b)*arcsinh(c*x)), x)","F",0
253,0,0,0,0.756676," ","integrate((pi*c^2*x^2+pi)^(3/2)*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\pi + \pi c^{2} x^{2}} {\left(\pi a^{2} c^{2} x^{2} + \pi a^{2} + {\left(\pi b^{2} c^{2} x^{2} + \pi b^{2}\right)} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, {\left(\pi a b c^{2} x^{2} + \pi a b\right)} \operatorname{arsinh}\left(c x\right)\right)}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(pi*a^2*c^2*x^2 + pi*a^2 + (pi*b^2*c^2*x^2 + pi*b^2)*arcsinh(c*x)^2 + 2*(pi*a*b*c^2*x^2 + pi*a*b)*arcsinh(c*x)), x)","F",0
254,0,0,0,0.553851," ","integrate((pi*c^2*x^2+pi)^(1/2)*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\pi + \pi c^{2} x^{2}} {\left(b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}\right)}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
255,0,0,0,0.521547," ","integrate((a+b*arcsinh(c*x))^2/(pi*c^2*x^2+pi)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{\sqrt{\pi + \pi c^{2} x^{2}}}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/sqrt(pi + pi*c^2*x^2), x)","F",0
256,0,0,0,0.562763," ","integrate((a+b*arcsinh(c*x))^2/(pi*c^2*x^2+pi)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}\right)}}{\pi^{2} c^{4} x^{4} + 2 \, \pi^{2} c^{2} x^{2} + \pi^{2}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(pi^2*c^4*x^4 + 2*pi^2*c^2*x^2 + pi^2), x)","F",0
257,0,0,0,0.695440," ","integrate((a+b*arcsinh(c*x))^2/(pi*c^2*x^2+pi)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\pi + \pi c^{2} x^{2}} {\left(b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}\right)}}{\pi^{3} c^{6} x^{6} + 3 \, \pi^{3} c^{4} x^{4} + 3 \, \pi^{3} c^{2} x^{2} + \pi^{3}}, x\right)"," ",0,"integral(sqrt(pi + pi*c^2*x^2)*(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(pi^3*c^6*x^6 + 3*pi^3*c^4*x^4 + 3*pi^3*c^2*x^2 + pi^3), x)","F",0
258,1,316,0,0.728603," ","integrate(x^3*(a+b*arcsinh(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(45 \, a b c^{6} x^{6} + 60 \, a b c^{4} x^{4} - 15 \, a b c^{2} x^{2} - 30 \, a b - {\left(9 \, b^{2} c^{5} x^{5} + 5 \, b^{2} c^{3} x^{3} - 30 \, b^{2} c x\right)} \sqrt{c^{2} x^{2} + 1}\right)} \sqrt{c^{2} d x^{2} + d} \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} - 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} x^{2} + 1}\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*(45*a*b*c^6*x^6 + 60*a*b*c^4*x^4 - 15*a*b*c^2*x^2 - 30*a*b - (9*b^2*c^5*x^5 + 5*b^2*c^3*x^3 - 30*b^2*c*x)*sqrt(c^2*x^2 + 1))*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 - 30*(9*a*b*c^5*x^5 + 5*a*b*c^3*x^3 - 30*a*b*c*x)*sqrt(c^2*x^2 + 1))*sqrt(c^2*d*x^2 + d))/(c^6*x^2 + c^4)","A",0
259,0,0,0,0.636679," ","integrate(x^2*(a+b*arcsinh(c*x))^2*(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} x^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arsinh}\left(c x\right) + a^{2} x^{2}\right)} \sqrt{c^{2} d x^{2} + d}, x\right)"," ",0,"integral((b^2*x^2*arcsinh(c*x)^2 + 2*a*b*x^2*arcsinh(c*x) + a^2*x^2)*sqrt(c^2*d*x^2 + d), x)","F",0
260,1,249,0,0.670863," ","integrate(x*(a+b*arcsinh(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(3 \, a b c^{4} x^{4} + 6 \, a b c^{2} x^{2} + 3 \, a b - {\left(b^{2} c^{3} x^{3} + 3 \, b^{2} c x\right)} \sqrt{c^{2} x^{2} + 1}\right)} \sqrt{c^{2} d x^{2} + d} \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} - 6 \, {\left(a b c^{3} x^{3} + 3 \, a b c x\right)} \sqrt{c^{2} x^{2} + 1}\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*(3*a*b*c^4*x^4 + 6*a*b*c^2*x^2 + 3*a*b - (b^2*c^3*x^3 + 3*b^2*c*x)*sqrt(c^2*x^2 + 1))*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 - 6*(a*b*c^3*x^3 + 3*a*b*c*x)*sqrt(c^2*x^2 + 1))*sqrt(c^2*d*x^2 + d))/(c^4*x^2 + c^2)","A",0
261,0,0,0,0.675014," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}\right)}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
262,0,0,0,0.465140," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}\right)}}{x}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/x, x)","F",0
263,0,0,0,0.688205," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}\right)}}{x^{2}}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/x^2, x)","F",0
264,0,0,0,0.708020," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}\right)}}{x^{3}}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/x^3, x)","F",0
265,0,0,0,0.534953," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}\right)}}{x^{4}}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/x^4, x)","F",0
266,1,402,0,0.672974," ","integrate(x^3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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(525 \, a b c^{8} d x^{8} + 1365 \, a b c^{6} d x^{6} + 945 \, a b c^{4} d x^{4} - 105 \, a b c^{2} d x^{2} - 210 \, a b d - {\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} x^{2} + 1}\right)} \sqrt{c^{2} d x^{2} + d} \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 - 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} x^{2} + 1}\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*(525*a*b*c^8*d*x^8 + 1365*a*b*c^6*d*x^6 + 945*a*b*c^4*d*x^4 - 105*a*b*c^2*d*x^2 - 210*a*b*d - (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*x^2 + 1))*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 - 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*x^2 + 1))*sqrt(c^2*d*x^2 + d))/(c^6*x^2 + c^4)","A",0
267,0,0,0,0.670535," ","integrate(x^2*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{4} + a b d x^{2}\right)} \operatorname{arsinh}\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)*arcsinh(c*x)^2 + 2*(a*b*c^2*d*x^4 + a*b*d*x^2)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d), x)","F",0
268,1,332,0,0.515302," ","integrate(x*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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(15 \, a b c^{6} d x^{6} + 45 \, a b c^{4} d x^{4} + 45 \, a b c^{2} d x^{2} + 15 \, a b d - {\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} x^{2} + 1}\right)} \sqrt{c^{2} d x^{2} + d} \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 - 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} x^{2} + 1}\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*(15*a*b*c^6*d*x^6 + 45*a*b*c^4*d*x^4 + 45*a*b*c^2*d*x^2 + 15*a*b*d - (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*x^2 + 1))*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 - 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*x^2 + 1))*sqrt(c^2*d*x^2 + d))/(c^4*x^2 + c^2)","A",0
269,0,0,0,0.787119," ","integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} + a b d\right)} \operatorname{arsinh}\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)*arcsinh(c*x)^2 + 2*(a*b*c^2*d*x^2 + a*b*d)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d), x)","F",0
270,0,0,0,0.605052," ","integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} + a b d\right)} \operatorname{arsinh}\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)*arcsinh(c*x)^2 + 2*(a*b*c^2*d*x^2 + a*b*d)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x, x)","F",0
271,0,0,0,0.688560," ","integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} + a b d\right)} \operatorname{arsinh}\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)*arcsinh(c*x)^2 + 2*(a*b*c^2*d*x^2 + a*b*d)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x^2, x)","F",0
272,0,0,0,0.674292," ","integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} + a b d\right)} \operatorname{arsinh}\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)*arcsinh(c*x)^2 + 2*(a*b*c^2*d*x^2 + a*b*d)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x^3, x)","F",0
273,0,0,0,0.547064," ","integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} + a b d\right)} \operatorname{arsinh}\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)*arcsinh(c*x)^2 + 2*(a*b*c^2*d*x^2 + a*b*d)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x^4, x)","F",0
274,1,525,0,0.614682," ","integrate(x^3*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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(441 \, a b c^{10} d^{2} x^{10} + 1638 \, a b c^{8} d^{2} x^{8} + 2142 \, a b c^{6} d^{2} x^{6} + 1008 \, a b c^{4} d^{2} x^{4} - 63 \, a b c^{2} d^{2} x^{2} - 126 \, a b d^{2} - {\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} x^{2} + 1}\right)} \sqrt{c^{2} d x^{2} + d} \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} - 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} x^{2} + 1}\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*(441*a*b*c^10*d^2*x^10 + 1638*a*b*c^8*d^2*x^8 + 2142*a*b*c^6*d^2*x^6 + 1008*a*b*c^4*d^2*x^4 - 63*a*b*c^2*d^2*x^2 - 126*a*b*d^2 - (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*x^2 + 1))*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 - 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*x^2 + 1))*sqrt(c^2*d*x^2 + d))/(c^6*x^2 + c^4)","A",0
275,0,0,0,0.599393," ","integrate(x^2*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d), x)","F",0
276,1,446,0,0.626713," ","integrate(x*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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(35 \, a b c^{8} d^{2} x^{8} + 140 \, a b c^{6} d^{2} x^{6} + 210 \, a b c^{4} d^{2} x^{4} + 140 \, a b c^{2} d^{2} x^{2} + 35 \, a b d^{2} - {\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} x^{2} + 1}\right)} \sqrt{c^{2} d x^{2} + d} \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} - 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} x^{2} + 1}\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*(35*a*b*c^8*d^2*x^8 + 140*a*b*c^6*d^2*x^6 + 210*a*b*c^4*d^2*x^4 + 140*a*b*c^2*d^2*x^2 + 35*a*b*d^2 - (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*x^2 + 1))*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 - 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*x^2 + 1))*sqrt(c^2*d*x^2 + d))/(c^4*x^2 + c^2)","A",0
277,0,0,0,0.684978," ","integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d), x)","F",0
278,0,0,0,0.621068," ","integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x, x)","F",0
279,0,0,0,0.760561," ","integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x^2, x)","F",0
280,0,0,0,0.614521," ","integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x^3, x)","F",0
281,0,0,0,0.714887," ","integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/x^4, x)","F",0
282,1,131,0,0.636532," ","integrate(x^4*arcsinh(a*x)^2/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{8 \, {\left(2 \, a^{3} x^{3} - 3 \, a x\right)} \sqrt{a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2} + 8 \, \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{3} - {\left(8 \, a^{4} x^{4} - 24 \, a^{2} x^{2} - 15\right)} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right) + {\left(2 \, a^{3} x^{3} - 15 \, a x\right)} \sqrt{a^{2} x^{2} + 1}}{64 \, a^{5}}"," ",0,"1/64*(8*(2*a^3*x^3 - 3*a*x)*sqrt(a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 + 1))^2 + 8*log(a*x + sqrt(a^2*x^2 + 1))^3 - (8*a^4*x^4 - 24*a^2*x^2 - 15)*log(a*x + sqrt(a^2*x^2 + 1)) + (2*a^3*x^3 - 15*a*x)*sqrt(a^2*x^2 + 1))/a^5","A",0
283,1,98,0,0.450465," ","integrate(x^3*arcsinh(a*x)^2/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{9 \, \sqrt{a^{2} x^{2} + 1} {\left(a^{2} x^{2} - 2\right)} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2} - 6 \, {\left(a^{3} x^{3} - 6 \, a x\right)} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right) + 2 \, \sqrt{a^{2} x^{2} + 1} {\left(a^{2} x^{2} - 20\right)}}{27 \, a^{4}}"," ",0,"1/27*(9*sqrt(a^2*x^2 + 1)*(a^2*x^2 - 2)*log(a*x + sqrt(a^2*x^2 + 1))^2 - 6*(a^3*x^3 - 6*a*x)*log(a*x + sqrt(a^2*x^2 + 1)) + 2*sqrt(a^2*x^2 + 1)*(a^2*x^2 - 20))/a^4","A",0
284,1,102,0,0.529448," ","integrate(x^2*arcsinh(a*x)^2/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{6 \, \sqrt{a^{2} x^{2} + 1} a x \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2} - 2 \, \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{3} + 3 \, \sqrt{a^{2} x^{2} + 1} a x - 3 \, {\left(2 \, a^{2} x^{2} + 1\right)} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)}{12 \, a^{3}}"," ",0,"1/12*(6*sqrt(a^2*x^2 + 1)*a*x*log(a*x + sqrt(a^2*x^2 + 1))^2 - 2*log(a*x + sqrt(a^2*x^2 + 1))^3 + 3*sqrt(a^2*x^2 + 1)*a*x - 3*(2*a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 + 1)))/a^3","A",0
285,1,70,0,0.473536," ","integrate(x*arcsinh(a*x)^2/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, a x \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right) - \sqrt{a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2} - 2 \, \sqrt{a^{2} x^{2} + 1}}{a^{2}}"," ",0,"-(2*a*x*log(a*x + sqrt(a^2*x^2 + 1)) - sqrt(a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 + 1))^2 - 2*sqrt(a^2*x^2 + 1))/a^2","A",0
286,1,23,0,0.438453," ","integrate(arcsinh(a*x)^2/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{3}}{3 \, a}"," ",0,"1/3*log(a*x + sqrt(a^2*x^2 + 1))^3/a","B",0
287,0,0,0,0.453763," ","integrate(arcsinh(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{arsinh}\left(a x\right)^{2}}{a^{2} x^{3} + x}, x\right)"," ",0,"integral(sqrt(a^2*x^2 + 1)*arcsinh(a*x)^2/(a^2*x^3 + x), x)","F",0
288,0,0,0,0.447489," ","integrate(arcsinh(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{arsinh}\left(a x\right)^{2}}{a^{2} x^{4} + x^{2}}, x\right)"," ",0,"integral(sqrt(a^2*x^2 + 1)*arcsinh(a*x)^2/(a^2*x^4 + x^2), x)","F",0
289,0,0,0,0.430624," ","integrate(arcsinh(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{arsinh}\left(a x\right)^{2}}{a^{2} x^{5} + x^{3}}, x\right)"," ",0,"integral(sqrt(a^2*x^2 + 1)*arcsinh(a*x)^2/(a^2*x^5 + x^3), x)","F",0
290,1,319,0,0.498673," ","integrate(x^5*(a+b*arcsinh(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(45 \, a b c^{6} x^{6} - 15 \, a b c^{4} x^{4} + 60 \, a b c^{2} x^{2} + 120 \, a b - {\left(9 \, b^{2} c^{5} x^{5} - 20 \, b^{2} c^{3} x^{3} + 120 \, b^{2} c x\right)} \sqrt{c^{2} x^{2} + 1}\right)} \sqrt{c^{2} d x^{2} + d} \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} - 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} x^{2} + 1}\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*(45*a*b*c^6*x^6 - 15*a*b*c^4*x^4 + 60*a*b*c^2*x^2 + 120*a*b - (9*b^2*c^5*x^5 - 20*b^2*c^3*x^3 + 120*b^2*c*x)*sqrt(c^2*x^2 + 1))*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 - 30*(9*a*b*c^5*x^5 - 20*a*b*c^3*x^3 + 120*a*b*c*x)*sqrt(c^2*x^2 + 1))*sqrt(c^2*d*x^2 + d))/(c^8*d*x^2 + c^6*d)","A",0
291,0,0,0,0.521705," ","integrate(x^4*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{4} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{4} \operatorname{arsinh}\left(c x\right) + a^{2} x^{4}}{\sqrt{c^{2} d x^{2} + d}}, x\right)"," ",0,"integral((b^2*x^4*arcsinh(c*x)^2 + 2*a*b*x^4*arcsinh(c*x) + a^2*x^4)/sqrt(c^2*d*x^2 + d), x)","F",0
292,1,254,0,0.456439," ","integrate(x^3*(a+b*arcsinh(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(3 \, a b c^{4} x^{4} - 3 \, a b c^{2} x^{2} - 6 \, a b - {\left(b^{2} c^{3} x^{3} - 6 \, b^{2} c x\right)} \sqrt{c^{2} x^{2} + 1}\right)} \sqrt{c^{2} d x^{2} + d} \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} - 6 \, {\left(a b c^{3} x^{3} - 6 \, a b c x\right)} \sqrt{c^{2} x^{2} + 1}\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*(3*a*b*c^4*x^4 - 3*a*b*c^2*x^2 - 6*a*b - (b^2*c^3*x^3 - 6*b^2*c*x)*sqrt(c^2*x^2 + 1))*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 - 6*(a*b*c^3*x^3 - 6*a*b*c*x)*sqrt(c^2*x^2 + 1))*sqrt(c^2*d*x^2 + d))/(c^6*d*x^2 + c^4*d)","A",0
293,0,0,0,0.458849," ","integrate(x^2*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arsinh}\left(c x\right) + a^{2} x^{2}}{\sqrt{c^{2} d x^{2} + d}}, x\right)"," ",0,"integral((b^2*x^2*arcsinh(c*x)^2 + 2*a*b*x^2*arcsinh(c*x) + a^2*x^2)/sqrt(c^2*d*x^2 + d), x)","F",0
294,1,179,0,0.457786," ","integrate(x*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","\frac{{\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(a b c^{2} x^{2} - \sqrt{c^{2} x^{2} + 1} b^{2} c x + a b\right)} \sqrt{c^{2} d x^{2} + d} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left({\left(a^{2} + 2 \, b^{2}\right)} c^{2} x^{2} - 2 \, \sqrt{c^{2} x^{2} + 1} a b c x + a^{2} + 2 \, b^{2}\right)} \sqrt{c^{2} d x^{2} + d}}{c^{4} d x^{2} + c^{2} d}"," ",0,"((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*(a*b*c^2*x^2 - sqrt(c^2*x^2 + 1)*b^2*c*x + 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 - 2*sqrt(c^2*x^2 + 1)*a*b*c*x + a^2 + 2*b^2)*sqrt(c^2*d*x^2 + d))/(c^4*d*x^2 + c^2*d)","A",0
295,0,0,0,0.450986," ","integrate((a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{\sqrt{c^{2} d x^{2} + d}}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/sqrt(c^2*d*x^2 + d), x)","F",0
296,0,0,0,0.488824," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^2*d*x^3 + d*x), x)","F",0
297,0,0,0,0.499197," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^2*d*x^4 + d*x^2), x)","F",0
298,0,0,0,0.418942," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^2*d*x^5 + d*x^3), x)","F",0
299,0,0,0,0.487623," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^2*d*x^6 + d*x^4), x)","F",0
300,0,0,0,0.439692," ","integrate(x^5*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{5} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{5} \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*x^5*arcsinh(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
301,0,0,0,0.495456," ","integrate(x^4*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{4} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{4} \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*x^4*arcsinh(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
302,0,0,0,0.534260," ","integrate(x^3*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{3} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{3} \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*x^3*arcsinh(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
303,0,0,0,0.461006," ","integrate(x^2*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*x^2*arcsinh(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
304,0,0,0,0.459136," ","integrate(x*(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b x \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*x*arcsinh(c*x) + a^2*x)/(c^4*d^2*x^4 + 2*c^2*d^2*x^2 + d^2), x)","F",0
305,0,0,0,0.628592," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^4*d^2*x^4 + 2*c^2*d^2*x^2 + d^2), x)","F",0
306,0,0,0,0.508186," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^4*d^2*x^5 + 2*c^2*d^2*x^3 + d^2*x), x)","F",0
307,0,0,0,0.542847," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^4*d^2*x^6 + 2*c^2*d^2*x^4 + d^2*x^2), x)","F",0
308,0,0,0,0.495153," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^4*d^2*x^7 + 2*c^2*d^2*x^5 + d^2*x^3), x)","F",0
309,0,0,0,0.506496," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(c^4*d^2*x^8 + 2*c^2*d^2*x^6 + d^2*x^4), x)","F",0
310,0,0,0,0.473506," ","integrate(x^5*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{5} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{5} \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*x^5*arcsinh(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
311,0,0,0,0.490031," ","integrate(x^4*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{4} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{4} \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*x^4*arcsinh(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
312,0,0,0,0.475693," ","integrate(x^3*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{3} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{3} \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*x^3*arcsinh(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
313,0,0,0,0.745568," ","integrate(x^2*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*x^2*arcsinh(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
314,0,0,0,0.479231," ","integrate(x*(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b x \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*x*arcsinh(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
315,0,0,0,0.473558," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(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
316,0,0,0,0.448756," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(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
317,0,0,0,0.495999," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(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
318,0,0,0,0.582551," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(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
319,0,0,0,0.724705," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(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
320,0,0,0,0.429424," ","integrate(arcsinh(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{arsinh}\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)*arcsinh(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
321,0,0,0,0.441405," ","integrate(x^m*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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{arsinh}\left(c x\right)\right)} \sqrt{c^{2} d x^{2} + d} x^{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)*arcsinh(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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)*x^m, x)","F",0
322,0,0,0,0.538905," ","integrate(x^m*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} d x^{2} + a b d\right)} \operatorname{arsinh}\left(c x\right)\right)} \sqrt{c^{2} d x^{2} + d} x^{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)*arcsinh(c*x)^2 + 2*(a*b*c^2*d*x^2 + a*b*d)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)*x^m, x)","F",0
323,0,0,0,0.453486," ","integrate(x^m*(c^2*d*x^2+d)^(1/2)*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c^{2} d x^{2} + d} {\left(b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}\right)} x^{m}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)*x^m, x)","F",0
324,0,0,0,0.484644," ","integrate(x^m*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}\right)} x^{m}}{\sqrt{c^{2} d x^{2} + d}}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)*x^m/sqrt(c^2*d*x^2 + d), x)","F",0
325,0,0,0,0.464038," ","integrate(x^m*(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}\right)} x^{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*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)*x^m/(c^4*d^2*x^4 + 2*c^2*d^2*x^2 + d^2), x)","F",0
326,0,0,0,0.554118," ","integrate(x^m*(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}\right)} 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\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)*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
327,0,0,0,0.516024," ","integrate(x^m*arcsinh(a*x)^2/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m} \operatorname{arsinh}\left(a x\right)^{2}}{\sqrt{a^{2} x^{2} + 1}}, x\right)"," ",0,"integral(x^m*arcsinh(a*x)^2/sqrt(a^2*x^2 + 1), x)","F",0
328,1,248,0,0.485194," ","integrate((a^2*c*x^2+c)^3*arcsinh(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
329,1,204,0,0.548935," ","integrate((a^2*c*x^2+c)^2*arcsinh(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
330,1,140,0,0.582898," ","integrate((a^2*c*x^2+c)*arcsinh(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
331,0,0,0,0.433953," ","integrate(arcsinh(a*x)^3/(a^2*c*x^2+c),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(a x\right)^{3}}{a^{2} c x^{2} + c}, x\right)"," ",0,"integral(arcsinh(a*x)^3/(a^2*c*x^2 + c), x)","F",0
332,0,0,0,0.441258," ","integrate(arcsinh(a*x)^3/(a^2*c*x^2+c)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(a x\right)^{3}}{a^{4} c^{2} x^{4} + 2 \, a^{2} c^{2} x^{2} + c^{2}}, x\right)"," ",0,"integral(arcsinh(a*x)^3/(a^4*c^2*x^4 + 2*a^2*c^2*x^2 + c^2), x)","F",0
333,0,0,0,0.446066," ","integrate(arcsinh(a*x)^3/(a^2*c*x^2+c)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\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(arcsinh(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
334,0,0,0,0.491095," ","integrate((a^2*c*x^2+c)^(5/2)*arcsinh(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{arsinh}\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)*arcsinh(a*x)^3, x)","F",0
335,0,0,0,0.566550," ","integrate((a^2*c*x^2+c)^(3/2)*arcsinh(a*x)^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} c x^{2} + c\right)}^{\frac{3}{2}} \operatorname{arsinh}\left(a x\right)^{3}, x\right)"," ",0,"integral((a^2*c*x^2 + c)^(3/2)*arcsinh(a*x)^3, x)","F",0
336,0,0,0,0.714918," ","integrate(arcsinh(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{arsinh}\left(a x\right)^{3}, x\right)"," ",0,"integral(sqrt(a^2*c*x^2 + c)*arcsinh(a*x)^3, x)","F",0
337,0,0,0,0.533130," ","integrate(arcsinh(a*x)^3/(a^2*c*x^2+c)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(a x\right)^{3}}{\sqrt{a^{2} c x^{2} + c}}, x\right)"," ",0,"integral(arcsinh(a*x)^3/sqrt(a^2*c*x^2 + c), x)","F",0
338,0,0,0,0.523152," ","integrate(arcsinh(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{arsinh}\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)*arcsinh(a*x)^3/(a^4*c^2*x^4 + 2*a^2*c^2*x^2 + c^2), x)","F",0
339,0,0,0,0.476904," ","integrate(arcsinh(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{arsinh}\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)*arcsinh(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
340,0,0,0,0.521474," ","integrate(arcsinh(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{arsinh}\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)*arcsinh(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
341,0,0,0,0.614746," ","integrate(x^m*arcsinh(a*x)^3/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m} \operatorname{arsinh}\left(a x\right)^{3}}{\sqrt{a^{2} x^{2} + 1}}, x\right)"," ",0,"integral(x^m*arcsinh(a*x)^3/sqrt(a^2*x^2 + 1), x)","F",0
342,1,166,0,0.465139," ","integrate(x^4*arcsinh(a*x)^3/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{3 \, a^{4} x^{4} - 16 \, {\left(2 \, a^{3} x^{3} - 3 \, a x\right)} \sqrt{a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{3} - 45 \, a^{2} x^{2} - 12 \, \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{4} + 3 \, {\left(8 \, a^{4} x^{4} - 24 \, a^{2} x^{2} - 15\right)} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2} - 6 \, {\left(2 \, a^{3} x^{3} - 15 \, a x\right)} \sqrt{a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)}{128 \, a^{5}}"," ",0,"-1/128*(3*a^4*x^4 - 16*(2*a^3*x^3 - 3*a*x)*sqrt(a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 + 1))^3 - 45*a^2*x^2 - 12*log(a*x + sqrt(a^2*x^2 + 1))^4 + 3*(8*a^4*x^4 - 24*a^2*x^2 - 15)*log(a*x + sqrt(a^2*x^2 + 1))^2 - 6*(2*a^3*x^3 - 15*a*x)*sqrt(a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 + 1)))/a^5","A",0
343,1,128,0,0.522479," ","integrate(x^3*arcsinh(a*x)^3/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, a^{3} x^{3} - 9 \, \sqrt{a^{2} x^{2} + 1} {\left(a^{2} x^{2} - 2\right)} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{3} + 9 \, {\left(a^{3} x^{3} - 6 \, a x\right)} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2} - 6 \, \sqrt{a^{2} x^{2} + 1} {\left(a^{2} x^{2} - 20\right)} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right) - 120 \, a x}{27 \, a^{4}}"," ",0,"-1/27*(2*a^3*x^3 - 9*sqrt(a^2*x^2 + 1)*(a^2*x^2 - 2)*log(a*x + sqrt(a^2*x^2 + 1))^3 + 9*(a^3*x^3 - 6*a*x)*log(a*x + sqrt(a^2*x^2 + 1))^2 - 6*sqrt(a^2*x^2 + 1)*(a^2*x^2 - 20)*log(a*x + sqrt(a^2*x^2 + 1)) - 120*a*x)/a^4","A",0
344,1,128,0,0.526678," ","integrate(x^2*arcsinh(a*x)^3/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{4 \, \sqrt{a^{2} x^{2} + 1} a x \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{3} - 3 \, a^{2} x^{2} - \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{4} + 6 \, \sqrt{a^{2} x^{2} + 1} a x \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right) - 3 \, {\left(2 \, a^{2} x^{2} + 1\right)} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2}}{8 \, a^{3}}"," ",0,"1/8*(4*sqrt(a^2*x^2 + 1)*a*x*log(a*x + sqrt(a^2*x^2 + 1))^3 - 3*a^2*x^2 - log(a*x + sqrt(a^2*x^2 + 1))^4 + 6*sqrt(a^2*x^2 + 1)*a*x*log(a*x + sqrt(a^2*x^2 + 1)) - 3*(2*a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 + 1))^2)/a^3","A",0
345,1,92,0,0.487058," ","integrate(x*arcsinh(a*x)^3/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{3 \, a x \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2} - \sqrt{a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{3} + 6 \, a x - 6 \, \sqrt{a^{2} x^{2} + 1} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)}{a^{2}}"," ",0,"-(3*a*x*log(a*x + sqrt(a^2*x^2 + 1))^2 - sqrt(a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 + 1))^3 + 6*a*x - 6*sqrt(a^2*x^2 + 1)*log(a*x + sqrt(a^2*x^2 + 1)))/a^2","A",0
346,1,23,0,0.423573," ","integrate(arcsinh(a*x)^3/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{4}}{4 \, a}"," ",0,"1/4*log(a*x + sqrt(a^2*x^2 + 1))^4/a","B",0
347,0,0,0,0.569048," ","integrate(arcsinh(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{arsinh}\left(a x\right)^{3}}{a^{2} x^{3} + x}, x\right)"," ",0,"integral(sqrt(a^2*x^2 + 1)*arcsinh(a*x)^3/(a^2*x^3 + x), x)","F",0
348,0,0,0,0.447033," ","integrate(arcsinh(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{arsinh}\left(a x\right)^{3}}{a^{2} x^{4} + x^{2}}, x\right)"," ",0,"integral(sqrt(a^2*x^2 + 1)*arcsinh(a*x)^3/(a^2*x^4 + x^2), x)","F",0
349,0,0,0,0.536604," ","integrate(arcsinh(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{arsinh}\left(a x\right)^{3}}{a^{2} x^{5} + x^{3}}, x\right)"," ",0,"integral(sqrt(a^2*x^2 + 1)*arcsinh(a*x)^3/(a^2*x^5 + x^3), x)","F",0
350,0,0,0,0.597007," ","integrate((a^2*c*x^2+c)^3/arcsinh(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{arsinh}\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)/arcsinh(a*x), x)","F",0
351,0,0,0,0.787303," ","integrate((a^2*c*x^2+c)^2/arcsinh(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{arsinh}\left(a x\right)}, x\right)"," ",0,"integral((a^4*c^2*x^4 + 2*a^2*c^2*x^2 + c^2)/arcsinh(a*x), x)","F",0
352,0,0,0,0.399575," ","integrate((a^2*c*x^2+c)/arcsinh(a*x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} c x^{2} + c}{\operatorname{arsinh}\left(a x\right)}, x\right)"," ",0,"integral((a^2*c*x^2 + c)/arcsinh(a*x), x)","F",0
353,0,0,0,0.577196," ","integrate(1/(a^2*c*x^2+c)/arcsinh(a*x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(a^{2} c x^{2} + c\right)} \operatorname{arsinh}\left(a x\right)}, x\right)"," ",0,"integral(1/((a^2*c*x^2 + c)*arcsinh(a*x)), x)","F",0
354,0,0,0,0.489997," ","integrate(1/(a^2*c*x^2+c)^2/arcsinh(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{arsinh}\left(a x\right)}, x\right)"," ",0,"integral(1/((a^4*c^2*x^4 + 2*a^2*c^2*x^2 + c^2)*arcsinh(a*x)), x)","F",0
355,0,0,0,0.716804," ","integrate(x^4*(c^2*x^2+1)^(1/2)/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1} x^{4}}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)*x^4/(b*arcsinh(c*x) + a), x)","F",0
356,0,0,0,0.544877," ","integrate(x^3*(c^2*x^2+1)^(1/2)/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1} x^{3}}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)*x^3/(b*arcsinh(c*x) + a), x)","F",0
357,0,0,0,0.439984," ","integrate(x^2*(c^2*x^2+1)^(1/2)/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1} x^{2}}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)*x^2/(b*arcsinh(c*x) + a), x)","F",0
358,0,0,0,0.580202," ","integrate(x*(c^2*x^2+1)^(1/2)/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1} x}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)*x/(b*arcsinh(c*x) + a), x)","F",0
359,0,0,0,0.496202," ","integrate((c^2*x^2+1)^(1/2)/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1}}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)/(b*arcsinh(c*x) + a), x)","F",0
360,0,0,0,0.596974," ","integrate((c^2*x^2+1)^(1/2)/x/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1}}{b x \operatorname{arsinh}\left(c x\right) + a x}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)/(b*x*arcsinh(c*x) + a*x), x)","F",0
361,0,0,0,0.531455," ","integrate((c^2*x^2+1)^(1/2)/x^2/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1}}{b x^{2} \operatorname{arsinh}\left(c x\right) + a x^{2}}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)/(b*x^2*arcsinh(c*x) + a*x^2), x)","F",0
362,0,0,0,0.527822," ","integrate((c^2*x^2+1)^(1/2)/x^3/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1}}{b x^{3} \operatorname{arsinh}\left(c x\right) + a x^{3}}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)/(b*x^3*arcsinh(c*x) + a*x^3), x)","F",0
363,0,0,0,0.522866," ","integrate((c^2*x^2+1)^(1/2)/x^4/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1}}{b x^{4} \operatorname{arsinh}\left(c x\right) + a x^{4}}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)/(b*x^4*arcsinh(c*x) + a*x^4), x)","F",0
364,0,0,0,0.470925," ","integrate(x^3*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral((c^2*x^5 + x^3)*sqrt(c^2*x^2 + 1)/(b*arcsinh(c*x) + a), x)","F",0
365,0,0,0,0.424026," ","integrate(x^2*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral((c^2*x^4 + x^2)*sqrt(c^2*x^2 + 1)/(b*arcsinh(c*x) + a), x)","F",0
366,0,0,0,0.419841," ","integrate(x*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{2} x^{3} + x\right)} \sqrt{c^{2} x^{2} + 1}}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral((c^2*x^3 + x)*sqrt(c^2*x^2 + 1)/(b*arcsinh(c*x) + a), x)","F",0
367,0,0,0,0.520496," ","integrate((c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral((c^2*x^2 + 1)^(3/2)/(b*arcsinh(c*x) + a), x)","F",0
368,0,0,0,0.468629," ","integrate((c^2*x^2+1)^(3/2)/x/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b x \operatorname{arsinh}\left(c x\right) + a x}, x\right)"," ",0,"integral((c^2*x^2 + 1)^(3/2)/(b*x*arcsinh(c*x) + a*x), x)","F",0
369,0,0,0,0.460265," ","integrate((c^2*x^2+1)^(3/2)/x^2/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b x^{2} \operatorname{arsinh}\left(c x\right) + a x^{2}}, x\right)"," ",0,"integral((c^2*x^2 + 1)^(3/2)/(b*x^2*arcsinh(c*x) + a*x^2), x)","F",0
370,0,0,0,0.433918," ","integrate((c^2*x^2+1)^(3/2)/x^3/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b x^{3} \operatorname{arsinh}\left(c x\right) + a x^{3}}, x\right)"," ",0,"integral((c^2*x^2 + 1)^(3/2)/(b*x^3*arcsinh(c*x) + a*x^3), x)","F",0
371,0,0,0,0.434408," ","integrate((c^2*x^2+1)^(3/2)/x^4/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b x^{4} \operatorname{arsinh}\left(c x\right) + a x^{4}}, x\right)"," ",0,"integral((c^2*x^2 + 1)^(3/2)/(b*x^4*arcsinh(c*x) + a*x^4), x)","F",0
372,0,0,0,0.509359," ","integrate(x^3*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a), x)","F",0
373,0,0,0,0.487589," ","integrate(x^2*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a), x)","F",0
374,0,0,0,0.455139," ","integrate(x*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a), x)","F",0
375,0,0,0,0.443141," ","integrate((c^2*x^2+1)^(5/2)/(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a), x)","F",0
376,0,0,0,0.449027," ","integrate((c^2*x^2+1)^(5/2)/x/(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a*x), x)","F",0
377,0,0,0,0.622163," ","integrate((c^2*x^2+1)^(5/2)/x^2/(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a*x^2), x)","F",0
378,0,0,0,0.481798," ","integrate((c^2*x^2+1)^(5/2)/x^3/(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a*x^3), x)","F",0
379,0,0,0,0.531989," ","integrate((c^2*x^2+1)^(5/2)/x^4/(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a*x^4), x)","F",0
380,0,0,0,0.467322," ","integrate(x^4/arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{4}}{\sqrt{a^{2} x^{2} + 1} \operatorname{arsinh}\left(a x\right)}, x\right)"," ",0,"integral(x^4/(sqrt(a^2*x^2 + 1)*arcsinh(a*x)), x)","F",0
381,0,0,0,0.429644," ","integrate(x^3/arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{3}}{\sqrt{a^{2} x^{2} + 1} \operatorname{arsinh}\left(a x\right)}, x\right)"," ",0,"integral(x^3/(sqrt(a^2*x^2 + 1)*arcsinh(a*x)), x)","F",0
382,0,0,0,0.581605," ","integrate(x^2/arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{\sqrt{a^{2} x^{2} + 1} \operatorname{arsinh}\left(a x\right)}, x\right)"," ",0,"integral(x^2/(sqrt(a^2*x^2 + 1)*arcsinh(a*x)), x)","F",0
383,0,0,0,0.442340," ","integrate(x^2/arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{\sqrt{a^{2} x^{2} + 1} \operatorname{arsinh}\left(a x\right)}, x\right)"," ",0,"integral(x^2/(sqrt(a^2*x^2 + 1)*arcsinh(a*x)), x)","F",0
384,0,0,0,0.447333," ","integrate(x/arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{\sqrt{a^{2} x^{2} + 1} \operatorname{arsinh}\left(a x\right)}, x\right)"," ",0,"integral(x/(sqrt(a^2*x^2 + 1)*arcsinh(a*x)), x)","F",0
385,1,21,0,0.454482," ","integrate(1/arcsinh(a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(\log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)\right)}{a}"," ",0,"log(log(a*x + sqrt(a^2*x^2 + 1)))/a","B",0
386,0,0,0,0.522086," ","integrate(1/x/arcsinh(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{arsinh}\left(a x\right)}, x\right)"," ",0,"integral(sqrt(a^2*x^2 + 1)/((a^2*x^3 + x)*arcsinh(a*x)), x)","F",0
387,0,0,0,0.429716," ","integrate(1/x^2/arcsinh(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{arsinh}\left(a x\right)}, x\right)"," ",0,"integral(sqrt(a^2*x^2 + 1)/((a^2*x^4 + x^2)*arcsinh(a*x)), x)","F",0
388,0,0,0,0.442028," ","integrate(x^5/(a+b*arcsinh(c*x))/(c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1} x^{5}}{a c^{2} x^{2} + {\left(b c^{2} x^{2} + b\right)} \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)*x^5/(a*c^2*x^2 + (b*c^2*x^2 + b)*arcsinh(c*x) + a), x)","F",0
389,0,0,0,0.446474," ","integrate(x^4/(a+b*arcsinh(c*x))/(c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1} x^{4}}{a c^{2} x^{2} + {\left(b c^{2} x^{2} + b\right)} \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)*x^4/(a*c^2*x^2 + (b*c^2*x^2 + b)*arcsinh(c*x) + a), x)","F",0
390,0,0,0,0.453470," ","integrate(x^3/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x) + a), x)","F",0
391,0,0,0,0.577271," ","integrate(x^2/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x) + a), x)","F",0
392,0,0,0,0.414790," ","integrate(x/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x) + a), x)","F",0
393,1,28,0,0.400277," ","integrate(1/(a+b*arcsinh(c*x))/(c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + a\right)}{b c}"," ",0,"log(b*log(c*x + sqrt(c^2*x^2 + 1)) + a)/(b*c)","A",0
394,0,0,0,0.445326," ","integrate(1/x/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x)), x)","F",0
395,0,0,0,0.416761," ","integrate(1/x^2/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x)), x)","F",0
396,0,0,0,0.437849," ","integrate(x^2/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x) + a), x)","F",0
397,0,0,0,0.405568," ","integrate(x/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x) + a), x)","F",0
398,0,0,0,0.444132," ","integrate(1/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x) + a), x)","F",0
399,0,0,0,0.477390," ","integrate(1/x/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x)), x)","F",0
400,0,0,0,0.427427," ","integrate(1/x^2/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x)), x)","F",0
401,0,0,0,0.429187," ","integrate(x^m*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(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} x^{m}}{b \operatorname{arsinh}\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)*x^m/(b*arcsinh(c*x) + a), x)","F",0
402,0,0,0,0.433268," ","integrate(x^m*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} x^{m}}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral((c^2*x^2 + 1)^(3/2)*x^m/(b*arcsinh(c*x) + a), x)","F",0
403,0,0,0,0.422384," ","integrate(x^m*(c^2*x^2+1)^(1/2)/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1} x^{m}}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)*x^m/(b*arcsinh(c*x) + a), x)","F",0
404,0,0,0,0.505059," ","integrate(x^m/(c^2*x^2+1)^(1/2)/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x) + a), x)","F",0
405,0,0,0,0.615079," ","integrate(x^m/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x) + a), x)","F",0
406,0,0,0,0.494366," ","integrate((a^2*c*x^2+c)^3/arcsinh(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{arsinh}\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)/arcsinh(a*x)^2, x)","F",0
407,0,0,0,0.466997," ","integrate((a^2*c*x^2+c)^2/arcsinh(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{arsinh}\left(a x\right)^{2}}, x\right)"," ",0,"integral((a^4*c^2*x^4 + 2*a^2*c^2*x^2 + c^2)/arcsinh(a*x)^2, x)","F",0
408,0,0,0,0.462379," ","integrate((a^2*c*x^2+c)/arcsinh(a*x)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} c x^{2} + c}{\operatorname{arsinh}\left(a x\right)^{2}}, x\right)"," ",0,"integral((a^2*c*x^2 + c)/arcsinh(a*x)^2, x)","F",0
409,0,0,0,0.451594," ","integrate(1/(a^2*c*x^2+c)/arcsinh(a*x)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(a^{2} c x^{2} + c\right)} \operatorname{arsinh}\left(a x\right)^{2}}, x\right)"," ",0,"integral(1/((a^2*c*x^2 + c)*arcsinh(a*x)^2), x)","F",0
410,0,0,0,0.437279," ","integrate(1/(a^2*c*x^2+c)^2/arcsinh(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{arsinh}\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)*arcsinh(a*x)^2), x)","F",0
411,0,0,0,0.558432," ","integrate(x^3*(c^2*x^2+1)^(1/2)/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1} x^{3}}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)*x^3/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
412,0,0,0,0.608100," ","integrate(x^2*(c^2*x^2+1)^(1/2)/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1} x^{2}}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)*x^2/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
413,0,0,0,0.536219," ","integrate(x*(c^2*x^2+1)^(1/2)/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1} x}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)*x/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
414,0,0,0,0.510173," ","integrate((c^2*x^2+1)^(1/2)/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1}}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
415,0,0,0,0.497974," ","integrate((c^2*x^2+1)^(1/2)/x/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1}}{b^{2} x \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x \operatorname{arsinh}\left(c x\right) + a^{2} x}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)/(b^2*x*arcsinh(c*x)^2 + 2*a*b*x*arcsinh(c*x) + a^2*x), x)","F",0
416,0,0,0,0.525712," ","integrate((c^2*x^2+1)^(1/2)/x^2/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1}}{b^{2} x^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arsinh}\left(c x\right) + a^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)/(b^2*x^2*arcsinh(c*x)^2 + 2*a*b*x^2*arcsinh(c*x) + a^2*x^2), x)","F",0
417,0,0,0,0.437787," ","integrate((c^2*x^2+1)^(1/2)/x^3/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1}}{b^{2} x^{3} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{3} \operatorname{arsinh}\left(c x\right) + a^{2} x^{3}}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)/(b^2*x^3*arcsinh(c*x)^2 + 2*a*b*x^3*arcsinh(c*x) + a^2*x^3), x)","F",0
418,0,0,0,0.473185," ","integrate((c^2*x^2+1)^(1/2)/x^4/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1}}{b^{2} x^{4} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x^{4} \operatorname{arsinh}\left(c x\right) + a^{2} x^{4}}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)/(b^2*x^4*arcsinh(c*x)^2 + 2*a*b*x^4*arcsinh(c*x) + a^2*x^4), x)","F",0
419,0,0,0,0.454623," ","integrate(x^3*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{2} x^{5} + x^{3}\right)} \sqrt{c^{2} x^{2} + 1}}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((c^2*x^5 + x^3)*sqrt(c^2*x^2 + 1)/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
420,0,0,0,0.435234," ","integrate(x^2*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((c^2*x^4 + x^2)*sqrt(c^2*x^2 + 1)/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
421,0,0,0,0.488645," ","integrate(x*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((c^2*x^3 + x)*sqrt(c^2*x^2 + 1)/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
422,0,0,0,0.437757," ","integrate((c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((c^2*x^2 + 1)^(3/2)/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
423,0,0,0,0.594484," ","integrate((c^2*x^2+1)^(3/2)/x/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{b^{2} x \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b x \operatorname{arsinh}\left(c x\right) + a^{2} x}, x\right)"," ",0,"integral((c^2*x^2 + 1)^(3/2)/(b^2*x*arcsinh(c*x)^2 + 2*a*b*x*arcsinh(c*x) + a^2*x), x)","F",0
424,0,0,0,0.448943," ","integrate((c^2*x^2+1)^(3/2)/x^2/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arsinh}\left(c x\right) + a^{2} x^{2}}, x\right)"," ",0,"integral((c^2*x^2 + 1)^(3/2)/(b^2*x^2*arcsinh(c*x)^2 + 2*a*b*x^2*arcsinh(c*x) + a^2*x^2), x)","F",0
425,0,0,0,0.587878," ","integrate((c^2*x^2+1)^(3/2)/x^3/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b x^{3} \operatorname{arsinh}\left(c x\right) + a^{2} x^{3}}, x\right)"," ",0,"integral((c^2*x^2 + 1)^(3/2)/(b^2*x^3*arcsinh(c*x)^2 + 2*a*b*x^3*arcsinh(c*x) + a^2*x^3), x)","F",0
426,0,0,0,0.451762," ","integrate((c^2*x^2+1)^(3/2)/x^4/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b x^{4} \operatorname{arsinh}\left(c x\right) + a^{2} x^{4}}, x\right)"," ",0,"integral((c^2*x^2 + 1)^(3/2)/(b^2*x^4*arcsinh(c*x)^2 + 2*a*b*x^4*arcsinh(c*x) + a^2*x^4), x)","F",0
427,0,0,0,0.480703," ","integrate(x^3*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,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^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((c^4*x^7 + 2*c^2*x^5 + x^3)*sqrt(c^2*x^2 + 1)/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
428,0,0,0,0.496364," ","integrate(x^2*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
429,0,0,0,0.611561," ","integrate(x*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
430,0,0,0,0.503021," ","integrate((c^2*x^2+1)^(5/2)/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
431,0,0,0,0.444912," ","integrate((c^2*x^2+1)^(5/2)/x/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b x \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*x*arcsinh(c*x) + a^2*x), x)","F",0
432,0,0,0,0.441650," ","integrate((c^2*x^2+1)^(5/2)/x^2/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b x^{2} \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*x^2*arcsinh(c*x) + a^2*x^2), x)","F",0
433,0,0,0,0.464653," ","integrate((c^2*x^2+1)^(5/2)/x^3/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b x^{3} \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*x^3*arcsinh(c*x) + a^2*x^3), x)","F",0
434,0,0,0,0.442405," ","integrate((c^2*x^2+1)^(5/2)/x^4/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, a b x^{4} \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*x^4*arcsinh(c*x) + a^2*x^4), x)","F",0
435,0,0,0,0.446583," ","integrate(x^5/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + a^{2} + 2 \, {\left(a b c^{2} x^{2} + a b\right)} \operatorname{arsinh}\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)*arcsinh(c*x)^2 + a^2 + 2*(a*b*c^2*x^2 + a*b)*arcsinh(c*x)), x)","F",0
436,0,0,0,0.449080," ","integrate(x^4/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + a^{2} + 2 \, {\left(a b c^{2} x^{2} + a b\right)} \operatorname{arsinh}\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)*arcsinh(c*x)^2 + a^2 + 2*(a*b*c^2*x^2 + a*b)*arcsinh(c*x)), x)","F",0
437,0,0,0,0.501339," ","integrate(x^3/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + a^{2} + 2 \, {\left(a b c^{2} x^{2} + a b\right)} \operatorname{arsinh}\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)*arcsinh(c*x)^2 + a^2 + 2*(a*b*c^2*x^2 + a*b)*arcsinh(c*x)), x)","F",0
438,0,0,0,0.497361," ","integrate(x^2/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + a^{2} + 2 \, {\left(a b c^{2} x^{2} + a b\right)} \operatorname{arsinh}\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)*arcsinh(c*x)^2 + a^2 + 2*(a*b*c^2*x^2 + a*b)*arcsinh(c*x)), x)","F",0
439,0,0,0,0.558496," ","integrate(x/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + a^{2} + 2 \, {\left(a b c^{2} x^{2} + a b\right)} \operatorname{arsinh}\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)*arcsinh(c*x)^2 + a^2 + 2*(a*b*c^2*x^2 + a*b)*arcsinh(c*x)), x)","F",0
440,1,30,0,0.544318," ","integrate(1/(a+b*arcsinh(c*x))^2/(c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{b^{2} c \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + a b c}"," ",0,"-1/(b^2*c*log(c*x + sqrt(c^2*x^2 + 1)) + a*b*c)","A",0
441,0,0,0,0.479529," ","integrate(1/x/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} x^{3} + a b x\right)} \operatorname{arsinh}\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)*arcsinh(c*x)^2 + 2*(a*b*c^2*x^3 + a*b*x)*arcsinh(c*x)), x)","F",0
442,0,0,0,0.466283," ","integrate(1/x^2/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b c^{2} x^{4} + a b x^{2}\right)} \operatorname{arsinh}\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)*arcsinh(c*x)^2 + 2*(a*b*c^2*x^4 + a*b*x^2)*arcsinh(c*x)), x)","F",0
443,0,0,0,0.465358," ","integrate(x^3/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(c*x)^2 + a^2 + 2*(a*b*c^4*x^4 + 2*a*b*c^2*x^2 + a*b)*arcsinh(c*x)), x)","F",0
444,0,0,0,0.462901," ","integrate(x^2/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(c*x)^2 + a^2 + 2*(a*b*c^4*x^4 + 2*a*b*c^2*x^2 + a*b)*arcsinh(c*x)), x)","F",0
445,0,0,0,0.433871," ","integrate(x/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(c*x)^2 + a^2 + 2*(a*b*c^4*x^4 + 2*a*b*c^2*x^2 + a*b)*arcsinh(c*x)), x)","F",0
446,0,0,0,0.468923," ","integrate(1/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(c*x)^2 + a^2 + 2*(a*b*c^4*x^4 + 2*a*b*c^2*x^2 + a*b)*arcsinh(c*x)), x)","F",0
447,0,0,0,0.492061," ","integrate(1/x/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(c*x)^2 + 2*(a*b*c^4*x^5 + 2*a*b*c^2*x^3 + a*b*x)*arcsinh(c*x)), x)","F",0
448,0,0,0,0.493236," ","integrate(1/x^2/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(c*x)^2 + 2*(a*b*c^4*x^6 + 2*a*b*c^2*x^4 + a*b*x^2)*arcsinh(c*x)), x)","F",0
449,0,0,0,0.560303," ","integrate(x^3/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(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)*arcsinh(c*x)), x)","F",0
450,0,0,0,0.482642," ","integrate(x^2/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(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)*arcsinh(c*x)), x)","F",0
451,0,0,0,0.455282," ","integrate(x/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(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)*arcsinh(c*x)), x)","F",0
452,0,0,0,0.506722," ","integrate(1/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(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)*arcsinh(c*x)), x)","F",0
453,0,0,0,0.456289," ","integrate(1/x/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(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)*arcsinh(c*x)), x)","F",0
454,0,0,0,0.613233," ","integrate(1/x^2/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(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)*arcsinh(c*x)), x)","F",0
455,0,0,0,0.568651," ","integrate(x^m*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(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} x^{m}}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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)*x^m/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
456,0,0,0,0.459254," ","integrate(x^m*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} x^{m}}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((c^2*x^2 + 1)^(3/2)*x^m/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
457,0,0,0,0.478605," ","integrate(x^m*(c^2*x^2+1)^(1/2)/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1} x^{m}}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)*x^m/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
458,0,0,0,0.498668," ","integrate(x^m/(c^2*x^2+1)^(1/2)/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1} x^{m}}{a^{2} c^{2} x^{2} + {\left(b^{2} c^{2} x^{2} + b^{2}\right)} \operatorname{arsinh}\left(c x\right)^{2} + a^{2} + 2 \, {\left(a b c^{2} x^{2} + a b\right)} \operatorname{arsinh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)*x^m/(a^2*c^2*x^2 + (b^2*c^2*x^2 + b^2)*arcsinh(c*x)^2 + a^2 + 2*(a*b*c^2*x^2 + a*b)*arcsinh(c*x)), x)","F",0
459,0,0,0,0.431476," ","integrate(x^m/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1} x^{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{arsinh}\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{arsinh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)*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)*arcsinh(c*x)^2 + a^2 + 2*(a*b*c^4*x^4 + 2*a*b*c^2*x^2 + a*b)*arcsinh(c*x)), x)","F",0
460,0,0,0,0.489507," ","integrate(x^m/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1} x^{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{arsinh}\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{arsinh}\left(c x\right)}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)*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)*arcsinh(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)*arcsinh(c*x)), x)","F",0
461,1,23,0,0.419214," ","integrate(1/arcsinh(a*x)^3/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2 \, a \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2}}"," ",0,"-1/2/(a*log(a*x + sqrt(a^2*x^2 + 1))^2)","B",0
462,-2,0,0,0.000000," ","integrate(x^3*(c^2*d*x^2+d)/(a+b*arcsinh(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
463,-2,0,0,0.000000," ","integrate(x^2*(c^2*d*x^2+d)/(a+b*arcsinh(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
464,-2,0,0,0.000000," ","integrate(x*(c^2*d*x^2+d)/(a+b*arcsinh(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
465,-2,0,0,0.000000," ","integrate((c^2*d*x^2+d)/(a+b*arcsinh(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
466,-2,0,0,0.000000," ","integrate((c^2*d*x^2+d)/x/(a+b*arcsinh(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
467,-2,0,0,0.000000," ","integrate(x^3*(c^2*d*x^2+d)^2/(a+b*arcsinh(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
468,-2,0,0,0.000000," ","integrate(x^2*(c^2*d*x^2+d)^2/(a+b*arcsinh(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
469,-2,0,0,0.000000," ","integrate(x*(c^2*d*x^2+d)^2/(a+b*arcsinh(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
470,-2,0,0,0.000000," ","integrate((c^2*d*x^2+d)^2/(a+b*arcsinh(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
471,-2,0,0,0.000000," ","integrate((c^2*d*x^2+d)^2/x/(a+b*arcsinh(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
472,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(3/2)*arcsinh(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
473,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(1/2)*arcsinh(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
474,-2,0,0,0.000000," ","integrate(arcsinh(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
475,-2,0,0,0.000000," ","integrate(arcsinh(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
476,-2,0,0,0.000000," ","integrate(arcsinh(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
477,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(3/2)*arcsinh(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
478,-2,0,0,0.000000," ","integrate(arcsinh(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
479,-2,0,0,0.000000," ","integrate(arcsinh(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
480,-2,0,0,0.000000," ","integrate(arcsinh(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
481,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(3/2)*arcsinh(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
482,-2,0,0,0.000000," ","integrate(arcsinh(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
483,-2,0,0,0.000000," ","integrate(arcsinh(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
484,-2,0,0,0.000000," ","integrate(arcsinh(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
485,-2,0,0,0.000000," ","integrate((a^2+x^2)^(3/2)*arcsinh(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
486,-2,0,0,0.000000," ","integrate((a^2+x^2)^(1/2)*arcsinh(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
487,1,20,0,0.442297," ","integrate(arcsinh(x/a)^(1/2)/(a^2+x^2)^(1/2),x, algorithm=""fricas"")","\frac{2}{3} \, \log\left(\frac{x + \sqrt{a^{2} + x^{2}}}{a}\right)^{\frac{3}{2}}"," ",0,"2/3*log((x + sqrt(a^2 + x^2))/a)^(3/2)","A",0
488,-2,0,0,0.000000," ","integrate(arcsinh(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
489,-2,0,0,0.000000," ","integrate(arcsinh(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
490,-2,0,0,0.000000," ","integrate((a^2+x^2)^(3/2)*arcsinh(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
491,-2,0,0,0.000000," ","integrate(arcsinh(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
492,1,20,0,0.482771," ","integrate(arcsinh(x/a)^(3/2)/(a^2+x^2)^(1/2),x, algorithm=""fricas"")","\frac{2}{5} \, \log\left(\frac{x + \sqrt{a^{2} + x^{2}}}{a}\right)^{\frac{5}{2}}"," ",0,"2/5*log((x + sqrt(a^2 + x^2))/a)^(5/2)","A",0
493,-2,0,0,0.000000," ","integrate(arcsinh(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
494,-2,0,0,0.000000," ","integrate(x/(x^2+1)^(1/2)/arcsinh(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
495,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(5/2)/arcsinh(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
496,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(3/2)/arcsinh(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
497,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(1/2)/arcsinh(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
498,-2,0,0,0.000000," ","integrate(1/(a^2*c*x^2+c)^(1/2)/arcsinh(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
499,-2,0,0,0.000000," ","integrate(1/(a^2*c*x^2+c)^(3/2)/arcsinh(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
500,-2,0,0,0.000000," ","integrate(1/(a^2*c*x^2+c)^(5/2)/arcsinh(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
501,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(5/2)/arcsinh(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
502,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(3/2)/arcsinh(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
503,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(1/2)/arcsinh(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
504,1,57,0,0.430294," ","integrate(1/arcsinh(a*x)^(3/2)/(a^2*c*x^2+c)^(1/2),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
505,-2,0,0,0.000000," ","integrate(1/(a^2*c*x^2+c)^(3/2)/arcsinh(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
506,-2,0,0,0.000000," ","integrate(1/(a^2*c*x^2+c)^(5/2)/arcsinh(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
507,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(3/2)/arcsinh(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
508,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(1/2)/arcsinh(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
509,1,57,0,0.574052," ","integrate(1/arcsinh(a*x)^(5/2)/(a^2*c*x^2+c)^(1/2),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
510,-2,0,0,0.000000," ","integrate(1/(a^2*c*x^2+c)^(3/2)/arcsinh(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
511,-2,0,0,0.000000," ","integrate(1/(a^2*c*x^2+c)^(5/2)/arcsinh(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
512,0,0,0,0.580896," ","integrate(x^2*(a+b*arcsinh(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{arsinh}\left(c x\right) + a\right)}^{n} x^{2}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b*arcsinh(c*x) + a)^n*x^2, x)","F",0
513,0,0,0,0.476835," ","integrate(x*(a+b*arcsinh(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{arsinh}\left(c x\right) + a\right)}^{n} x, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b*arcsinh(c*x) + a)^n*x, x)","F",0
514,0,0,0,0.586650," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right) + a\right)}^{n}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b*arcsinh(c*x) + a)^n, x)","F",0
515,0,0,0,0.524658," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right) + a\right)}^{n}}{x}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b*arcsinh(c*x) + a)^n/x, x)","F",0
516,0,0,0,0.509933," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right) + a\right)}^{n}}{x^{2}}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b*arcsinh(c*x) + a)^n/x^2, x)","F",0
517,0,0,0,0.565671," ","integrate(x^2*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)^n, x)","F",0
518,0,0,0,0.495126," ","integrate(x*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)^n, x)","F",0
519,0,0,0,0.482960," ","integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(c^{2} d x^{2} + d\right)}^{\frac{3}{2}} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}^{n}, x\right)"," ",0,"integral((c^2*d*x^2 + d)^(3/2)*(b*arcsinh(c*x) + a)^n, x)","F",0
520,0,0,0,0.500138," ","integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\left(c x\right) + a\right)}^{n}}{x}, x\right)"," ",0,"integral((c^2*d*x^2 + d)^(3/2)*(b*arcsinh(c*x) + a)^n/x, x)","F",0
521,0,0,0,0.551943," ","integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\left(c x\right) + a\right)}^{n}}{x^{2}}, x\right)"," ",0,"integral((c^2*d*x^2 + d)^(3/2)*(b*arcsinh(c*x) + a)^n/x^2, x)","F",0
522,0,0,0,0.549144," ","integrate(x^2*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)^n, x)","F",0
523,0,0,0,0.469431," ","integrate(x*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)^n, x)","F",0
524,0,0,0,0.543924," ","integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)^n, x)","F",0
525,0,0,0,0.493789," ","integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)^n/x, x)","F",0
526,0,0,0,0.546523," ","integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)^n/x^2, x)","F",0
527,0,0,0,0.521087," ","integrate(x^m*arcsinh(a*x)^n/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{m} \operatorname{arsinh}\left(a x\right)^{n}}{\sqrt{a^{2} x^{2} + 1}}, x\right)"," ",0,"integral(x^m*arcsinh(a*x)^n/sqrt(a^2*x^2 + 1), x)","F",0
528,0,0,0,0.466685," ","integrate(x^3*arcsinh(a*x)^n/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{3} \operatorname{arsinh}\left(a x\right)^{n}}{\sqrt{a^{2} x^{2} + 1}}, x\right)"," ",0,"integral(x^3*arcsinh(a*x)^n/sqrt(a^2*x^2 + 1), x)","F",0
529,0,0,0,0.564285," ","integrate(x^2*arcsinh(a*x)^n/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2} \operatorname{arsinh}\left(a x\right)^{n}}{\sqrt{a^{2} x^{2} + 1}}, x\right)"," ",0,"integral(x^2*arcsinh(a*x)^n/sqrt(a^2*x^2 + 1), x)","F",0
530,0,0,0,0.459068," ","integrate(x*arcsinh(a*x)^n/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x \operatorname{arsinh}\left(a x\right)^{n}}{\sqrt{a^{2} x^{2} + 1}}, x\right)"," ",0,"integral(x*arcsinh(a*x)^n/sqrt(a^2*x^2 + 1), x)","F",0
531,1,83,0,0.461100," ","integrate(arcsinh(a*x)^n/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\cosh\left(n \log\left(\log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)\right)\right) \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right) + \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right) \sinh\left(n \log\left(\log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)\right)\right)}{a n + a}"," ",0,"(cosh(n*log(log(a*x + sqrt(a^2*x^2 + 1))))*log(a*x + sqrt(a^2*x^2 + 1)) + log(a*x + sqrt(a^2*x^2 + 1))*sinh(n*log(log(a*x + sqrt(a^2*x^2 + 1)))))/(a*n + a)","B",0
532,0,0,0,0.494749," ","integrate(arcsinh(a*x)^n/x/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a^{2} x^{2} + 1} \operatorname{arsinh}\left(a x\right)^{n}}{a^{2} x^{3} + x}, x\right)"," ",0,"integral(sqrt(a^2*x^2 + 1)*arcsinh(a*x)^n/(a^2*x^3 + x), x)","F",0
533,0,0,0,0.511378," ","integrate(arcsinh(a*x)^n/x^2/(a^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a^{2} x^{2} + 1} \operatorname{arsinh}\left(a x\right)^{n}}{a^{2} x^{4} + x^{2}}, x\right)"," ",0,"integral(sqrt(a^2*x^2 + 1)*arcsinh(a*x)^n/(a^2*x^4 + x^2), x)","F",0
534,0,0,0,0.559851," ","integrate((d+I*c*d*x)^(5/2)*(a+b*arcsinh(c*x))*(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(b c^{2} d^{2} x^{2} - 2 i \, b c d^{2} x - b d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - {\left(a c^{2} d^{2} x^{2} - 2 i \, a c d^{2} x - a d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral(-(b*c^2*d^2*x^2 - 2*I*b*c*d^2*x - b*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) - (a*c^2*d^2*x^2 - 2*I*a*c*d^2*x - a*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
535,0,0,0,0.484130," ","integrate((d+I*c*d*x)^(3/2)*(a+b*arcsinh(c*x))*(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(i \, b c d x + b d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(i \, a c d x + a d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral((I*b*c*d*x + b*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (I*a*c*d*x + a*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
536,0,0,0,0.461898," ","integrate((a+b*arcsinh(c*x))*(d+I*c*d*x)^(1/2)*(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a, x\right)"," ",0,"integral(sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a, x)","F",0
537,0,0,0,0.515879," ","integrate((a+b*arcsinh(c*x))*(f-I*c*f*x)^(1/2)/(d+I*c*d*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{-i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a}{c d x - i \, d}, x\right)"," ",0,"integral((-I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*log(c*x + sqrt(c^2*x^2 + 1)) - I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a)/(c*d*x - I*d), x)","F",0
538,0,0,0,0.486287," ","integrate((a+b*arcsinh(c*x))*(f-I*c*f*x)^(1/2)/(d+I*c*d*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a}{c^{2} d^{2} x^{2} - 2 i \, c d^{2} x - d^{2}}, x\right)"," ",0,"integral(-(sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a)/(c^2*d^2*x^2 - 2*I*c*d^2*x - d^2), x)","F",0
539,1,565,0,0.635355," ","integrate((a+b*arcsinh(c*x))*(f-I*c*f*x)^(1/2)/(d+I*c*d*x)^(5/2),x, algorithm=""fricas"")","-\frac{24 \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b c x + 3 \, {\left(4 \, b c^{2} x^{2} + 8 i \, b c x - 4 \, b\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + 2 \, {\left(3 \, c^{4} d^{3} x^{3} - 3 i \, c^{3} d^{3} x^{2} + 3 \, c^{2} d^{3} x - 3 i \, c d^{3}\right)} \sqrt{\frac{b^{2} f}{c^{2} d^{5}}} \log\left(\frac{3 \, {\left(-2 i \, b c^{6} x^{2} - 4 \, b c^{5} x + 4 i \, b c^{4}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} + 2 \, {\left(3 i \, c^{9} d^{3} x^{4} + 6 \, c^{8} d^{3} x^{3} + 3 i \, c^{7} d^{3} x^{2} + 6 \, c^{6} d^{3} x\right)} \sqrt{\frac{b^{2} f}{c^{2} d^{5}}}}{3 \, {\left(16 \, b c^{3} x^{3} - 16 i \, b c^{2} x^{2} + 16 \, b c x - 16 i \, b\right)}}\right) - 2 \, {\left(3 \, c^{4} d^{3} x^{3} - 3 i \, c^{3} d^{3} x^{2} + 3 \, c^{2} d^{3} x - 3 i \, c d^{3}\right)} \sqrt{\frac{b^{2} f}{c^{2} d^{5}}} \log\left(\frac{3 \, {\left(-2 i \, b c^{6} x^{2} - 4 \, b c^{5} x + 4 i \, b c^{4}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} + 2 \, {\left(-3 i \, c^{9} d^{3} x^{4} - 6 \, c^{8} d^{3} x^{3} - 3 i \, c^{7} d^{3} x^{2} - 6 \, c^{6} d^{3} x\right)} \sqrt{\frac{b^{2} f}{c^{2} d^{5}}}}{3 \, {\left(16 \, b c^{3} x^{3} - 16 i \, b c^{2} x^{2} + 16 \, b c x - 16 i \, b\right)}}\right) + 3 \, {\left(4 \, a c^{2} x^{2} + 8 i \, a c x - 4 \, a\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{3 \, {\left(12 \, c^{4} d^{3} x^{3} - 12 i \, c^{3} d^{3} x^{2} + 12 \, c^{2} d^{3} x - 12 i \, c d^{3}\right)}}"," ",0,"-1/3*(24*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*c*x + 3*(4*b*c^2*x^2 + 8*I*b*c*x - 4*b)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + 2*(3*c^4*d^3*x^3 - 3*I*c^3*d^3*x^2 + 3*c^2*d^3*x - 3*I*c*d^3)*sqrt(b^2*f/(c^2*d^5))*log(1/3*(3*(-2*I*b*c^6*x^2 - 4*b*c^5*x + 4*I*b*c^4)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f) + 2*(3*I*c^9*d^3*x^4 + 6*c^8*d^3*x^3 + 3*I*c^7*d^3*x^2 + 6*c^6*d^3*x)*sqrt(b^2*f/(c^2*d^5)))/(16*b*c^3*x^3 - 16*I*b*c^2*x^2 + 16*b*c*x - 16*I*b)) - 2*(3*c^4*d^3*x^3 - 3*I*c^3*d^3*x^2 + 3*c^2*d^3*x - 3*I*c*d^3)*sqrt(b^2*f/(c^2*d^5))*log(1/3*(3*(-2*I*b*c^6*x^2 - 4*b*c^5*x + 4*I*b*c^4)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f) + 2*(-3*I*c^9*d^3*x^4 - 6*c^8*d^3*x^3 - 3*I*c^7*d^3*x^2 - 6*c^6*d^3*x)*sqrt(b^2*f/(c^2*d^5)))/(16*b*c^3*x^3 - 16*I*b*c^2*x^2 + 16*b*c*x - 16*I*b)) + 3*(4*a*c^2*x^2 + 8*I*a*c*x - 4*a)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(12*c^4*d^3*x^3 - 12*I*c^3*d^3*x^2 + 12*c^2*d^3*x - 12*I*c*d^3)","B",0
540,0,0,0,0.604647," ","integrate((d+I*c*d*x)^(5/2)*(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(i \, b c^{3} d^{2} f x^{3} + b c^{2} d^{2} f x^{2} + i \, b c d^{2} f x + b d^{2} f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(i \, a c^{3} d^{2} f x^{3} + a c^{2} d^{2} f x^{2} + i \, a c d^{2} f x + a d^{2} f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral((I*b*c^3*d^2*f*x^3 + b*c^2*d^2*f*x^2 + I*b*c*d^2*f*x + b*d^2*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (I*a*c^3*d^2*f*x^3 + a*c^2*d^2*f*x^2 + I*a*c*d^2*f*x + a*d^2*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
541,0,0,0,0.521099," ","integrate((d+I*c*d*x)^(3/2)*(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(b c^{2} d f x^{2} + b d f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a c^{2} d f x^{2} + a d f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral((b*c^2*d*f*x^2 + b*d*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a*c^2*d*f*x^2 + a*d*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
542,0,0,0,0.603272," ","integrate((f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))*(d+I*c*d*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(-i \, b c f x + b f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(-i \, a c f x + a f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral((-I*b*c*f*x + b*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (-I*a*c*f*x + a*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
543,0,0,0,0.507956," ","integrate((f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b c f x + i \, b f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a c f x + i \, a f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c d x - i \, d}, x\right)"," ",0,"integral(-((b*c*f*x + I*b*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a*c*f*x + I*a*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c*d*x - I*d), x)","F",0
544,0,0,0,0.541524," ","integrate((f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(i \, b c f x - b f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(i \, a c f x - a f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{2} d^{2} x^{2} - 2 i \, c d^{2} x - d^{2}}, x\right)"," ",0,"integral(((I*b*c*f*x - b*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (I*a*c*f*x - a*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^2*d^2*x^2 - 2*I*c*d^2*x - d^2), x)","F",0
545,0,0,0,0.491820," ","integrate((f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b c f x + i \, b f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a c f x + i \, a f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{3} d^{3} x^{3} - 3 i \, c^{2} d^{3} x^{2} - 3 \, c d^{3} x + i \, d^{3}}, x\right)"," ",0,"integral(((b*c*f*x + I*b*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a*c*f*x + I*a*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^3*d^3*x^3 - 3*I*c^2*d^3*x^2 - 3*c*d^3*x + I*d^3), x)","F",0
546,0,0,0,0.530429," ","integrate((d+I*c*d*x)^(5/2)*(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(b c^{4} d^{2} f^{2} x^{4} + 2 \, b c^{2} d^{2} f^{2} x^{2} + b d^{2} f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a c^{4} d^{2} f^{2} x^{4} + 2 \, a c^{2} d^{2} f^{2} x^{2} + a d^{2} f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral((b*c^4*d^2*f^2*x^4 + 2*b*c^2*d^2*f^2*x^2 + b*d^2*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a*c^4*d^2*f^2*x^4 + 2*a*c^2*d^2*f^2*x^2 + a*d^2*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
547,0,0,0,0.548917," ","integrate((d+I*c*d*x)^(3/2)*(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(-i \, b c^{3} d f^{2} x^{3} + b c^{2} d f^{2} x^{2} - i \, b c d f^{2} x + b d f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(-i \, a c^{3} d f^{2} x^{3} + a c^{2} d f^{2} x^{2} - i \, a c d f^{2} x + a d f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral((-I*b*c^3*d*f^2*x^3 + b*c^2*d*f^2*x^2 - I*b*c*d*f^2*x + b*d*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (-I*a*c^3*d*f^2*x^3 + a*c^2*d*f^2*x^2 - I*a*c*d*f^2*x + a*d*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
548,0,0,0,0.681526," ","integrate((f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))*(d+I*c*d*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(b c^{2} f^{2} x^{2} + 2 i \, b c f^{2} x - b f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - {\left(a c^{2} f^{2} x^{2} + 2 i \, a c f^{2} x - a f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral(-(b*c^2*f^2*x^2 + 2*I*b*c*f^2*x - b*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) - (a*c^2*f^2*x^2 + 2*I*a*c*f^2*x - a*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
549,0,0,0,0.482500," ","integrate((f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(i \, b c^{2} f^{2} x^{2} - 2 \, b c f^{2} x - i \, b f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(i \, a c^{2} f^{2} x^{2} - 2 \, a c f^{2} x - i \, a f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c d x - i \, d}, x\right)"," ",0,"integral(((I*b*c^2*f^2*x^2 - 2*b*c*f^2*x - I*b*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (I*a*c^2*f^2*x^2 - 2*a*c*f^2*x - I*a*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c*d*x - I*d), x)","F",0
550,0,0,0,0.565108," ","integrate((f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b c^{2} f^{2} x^{2} + 2 i \, b c f^{2} x - b f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a c^{2} f^{2} x^{2} + 2 i \, a c f^{2} x - a f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{2} d^{2} x^{2} - 2 i \, c d^{2} x - d^{2}}, x\right)"," ",0,"integral(((b*c^2*f^2*x^2 + 2*I*b*c*f^2*x - b*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a*c^2*f^2*x^2 + 2*I*a*c*f^2*x - a*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^2*d^2*x^2 - 2*I*c*d^2*x - d^2), x)","F",0
551,0,0,0,0.628835," ","integrate((f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-i \, b c^{2} f^{2} x^{2} + 2 \, b c f^{2} x + i \, b f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(-i \, a c^{2} f^{2} x^{2} + 2 \, a c f^{2} x + i \, a f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{3} d^{3} x^{3} - 3 i \, c^{2} d^{3} x^{2} - 3 \, c d^{3} x + i \, d^{3}}, x\right)"," ",0,"integral(((-I*b*c^2*f^2*x^2 + 2*b*c*f^2*x + I*b*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (-I*a*c^2*f^2*x^2 + 2*a*c*f^2*x + I*a*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^3*d^3*x^3 - 3*I*c^2*d^3*x^2 - 3*c*d^3*x + I*d^3), x)","F",0
552,0,0,0,0.782121," ","integrate((d+I*c*d*x)^(5/2)*(a+b*arcsinh(c*x))/(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-i \, b c^{2} d^{2} x^{2} - 2 \, b c d^{2} x + i \, b d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(-i \, a c^{2} d^{2} x^{2} - 2 \, a c d^{2} x + i \, a d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c f x + i \, f}, x\right)"," ",0,"integral(((-I*b*c^2*d^2*x^2 - 2*b*c*d^2*x + I*b*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (-I*a*c^2*d^2*x^2 - 2*a*c*d^2*x + I*a*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c*f*x + I*f), x)","F",0
553,0,0,0,0.620580," ","integrate((d+I*c*d*x)^(3/2)*(a+b*arcsinh(c*x))/(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b c d x - i \, b d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a c d x - i \, a d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c f x + i \, f}, x\right)"," ",0,"integral(-((b*c*d*x - I*b*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a*c*d*x - I*a*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c*f*x + I*f), x)","F",0
554,0,0,0,0.755837," ","integrate((a+b*arcsinh(c*x))*(d+I*c*d*x)^(1/2)/(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a}{c f x + i \, f}, x\right)"," ",0,"integral((I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*log(c*x + sqrt(c^2*x^2 + 1)) + I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a)/(c*f*x + I*f), x)","F",0
555,0,0,0,0.617294," ","integrate((a+b*arcsinh(c*x))/(d+I*c*d*x)^(1/2)/(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a}{c^{2} d f x^{2} + d f}, x\right)"," ",0,"integral((sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a)/(c^2*d*f*x^2 + d*f), x)","F",0
556,1,445,0,0.526064," ","integrate((a+b*arcsinh(c*x))/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(c^{2} d^{2} f x - i \, c d^{2} f\right)} \sqrt{\frac{b^{2}}{c^{2} d^{3} f}} \log\left(\frac{{\left(-2 i \, b c^{6} x^{2} - 4 \, b c^{5} x + 4 i \, b c^{4}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} + 2 \, {\left(i \, c^{9} d^{2} f x^{4} + 2 \, c^{8} d^{2} f x^{3} + i \, c^{7} d^{2} f x^{2} + 2 \, c^{6} d^{2} f x\right)} \sqrt{\frac{b^{2}}{c^{2} d^{3} f}}}{16 \, b c^{3} x^{3} - 16 i \, b c^{2} x^{2} + 16 \, b c x - 16 i \, b}\right) - {\left(c^{2} d^{2} f x - i \, c d^{2} f\right)} \sqrt{\frac{b^{2}}{c^{2} d^{3} f}} \log\left(\frac{{\left(-2 i \, b c^{6} x^{2} - 4 \, b c^{5} x + 4 i \, b c^{4}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} + 2 \, {\left(-i \, c^{9} d^{2} f x^{4} - 2 \, c^{8} d^{2} f x^{3} - i \, c^{7} d^{2} f x^{2} - 2 \, c^{6} d^{2} f x\right)} \sqrt{\frac{b^{2}}{c^{2} d^{3} f}}}{16 \, b c^{3} x^{3} - 16 i \, b c^{2} x^{2} + 16 \, b c x - 16 i \, b}\right) + 2 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a}{2 \, {\left(c^{2} d^{2} f x - i \, c d^{2} f\right)}}"," ",0,"1/2*(2*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*log(c*x + sqrt(c^2*x^2 + 1)) + (c^2*d^2*f*x - I*c*d^2*f)*sqrt(b^2/(c^2*d^3*f))*log(((-2*I*b*c^6*x^2 - 4*b*c^5*x + 4*I*b*c^4)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f) + 2*(I*c^9*d^2*f*x^4 + 2*c^8*d^2*f*x^3 + I*c^7*d^2*f*x^2 + 2*c^6*d^2*f*x)*sqrt(b^2/(c^2*d^3*f)))/(16*b*c^3*x^3 - 16*I*b*c^2*x^2 + 16*b*c*x - 16*I*b)) - (c^2*d^2*f*x - I*c*d^2*f)*sqrt(b^2/(c^2*d^3*f))*log(((-2*I*b*c^6*x^2 - 4*b*c^5*x + 4*I*b*c^4)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f) + 2*(-I*c^9*d^2*f*x^4 - 2*c^8*d^2*f*x^3 - I*c^7*d^2*f*x^2 - 2*c^6*d^2*f*x)*sqrt(b^2/(c^2*d^3*f)))/(16*b*c^3*x^3 - 16*I*b*c^2*x^2 + 16*b*c*x - 16*I*b)) + 2*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a)/(c^2*d^2*f*x - I*c*d^2*f)","B",0
557,1,593,0,0.748982," ","integrate((a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","-\frac{12 \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b c x - 3 \, {\left(4 \, b c^{2} x^{2} - 4 i \, b c x + 8 \, b\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 2 \, {\left(3 \, c^{4} d^{3} f x^{3} - 3 i \, c^{3} d^{3} f x^{2} + 3 \, c^{2} d^{3} f x - 3 i \, c d^{3} f\right)} \sqrt{\frac{b^{2}}{c^{2} d^{5} f}} \log\left(\frac{3 \, {\left(-2 i \, b c^{6} x^{2} - 4 \, b c^{5} x + 4 i \, b c^{4}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} + 2 \, {\left(3 i \, c^{9} d^{3} f x^{4} + 6 \, c^{8} d^{3} f x^{3} + 3 i \, c^{7} d^{3} f x^{2} + 6 \, c^{6} d^{3} f x\right)} \sqrt{\frac{b^{2}}{c^{2} d^{5} f}}}{3 \, {\left(16 \, b c^{3} x^{3} - 16 i \, b c^{2} x^{2} + 16 \, b c x - 16 i \, b\right)}}\right) + 2 \, {\left(3 \, c^{4} d^{3} f x^{3} - 3 i \, c^{3} d^{3} f x^{2} + 3 \, c^{2} d^{3} f x - 3 i \, c d^{3} f\right)} \sqrt{\frac{b^{2}}{c^{2} d^{5} f}} \log\left(\frac{3 \, {\left(-2 i \, b c^{6} x^{2} - 4 \, b c^{5} x + 4 i \, b c^{4}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} + 2 \, {\left(-3 i \, c^{9} d^{3} f x^{4} - 6 \, c^{8} d^{3} f x^{3} - 3 i \, c^{7} d^{3} f x^{2} - 6 \, c^{6} d^{3} f x\right)} \sqrt{\frac{b^{2}}{c^{2} d^{5} f}}}{3 \, {\left(16 \, b c^{3} x^{3} - 16 i \, b c^{2} x^{2} + 16 \, b c x - 16 i \, b\right)}}\right) - 3 \, {\left(4 \, a c^{2} x^{2} - 4 i \, a c x + 8 \, a\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{3 \, {\left(12 \, c^{4} d^{3} f x^{3} - 12 i \, c^{3} d^{3} f x^{2} + 12 \, c^{2} d^{3} f x - 12 i \, c d^{3} f\right)}}"," ",0,"-1/3*(12*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*c*x - 3*(4*b*c^2*x^2 - 4*I*b*c*x + 8*b)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) - 2*(3*c^4*d^3*f*x^3 - 3*I*c^3*d^3*f*x^2 + 3*c^2*d^3*f*x - 3*I*c*d^3*f)*sqrt(b^2/(c^2*d^5*f))*log(1/3*(3*(-2*I*b*c^6*x^2 - 4*b*c^5*x + 4*I*b*c^4)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f) + 2*(3*I*c^9*d^3*f*x^4 + 6*c^8*d^3*f*x^3 + 3*I*c^7*d^3*f*x^2 + 6*c^6*d^3*f*x)*sqrt(b^2/(c^2*d^5*f)))/(16*b*c^3*x^3 - 16*I*b*c^2*x^2 + 16*b*c*x - 16*I*b)) + 2*(3*c^4*d^3*f*x^3 - 3*I*c^3*d^3*f*x^2 + 3*c^2*d^3*f*x - 3*I*c*d^3*f)*sqrt(b^2/(c^2*d^5*f))*log(1/3*(3*(-2*I*b*c^6*x^2 - 4*b*c^5*x + 4*I*b*c^4)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f) + 2*(-3*I*c^9*d^3*f*x^4 - 6*c^8*d^3*f*x^3 - 3*I*c^7*d^3*f*x^2 - 6*c^6*d^3*f*x)*sqrt(b^2/(c^2*d^5*f)))/(16*b*c^3*x^3 - 16*I*b*c^2*x^2 + 16*b*c*x - 16*I*b)) - 3*(4*a*c^2*x^2 - 4*I*a*c*x + 8*a)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(12*c^4*d^3*f*x^3 - 12*I*c^3*d^3*f*x^2 + 12*c^2*d^3*f*x - 12*I*c*d^3*f)","B",0
558,0,0,0,0.577753," ","integrate((d+I*c*d*x)^(5/2)*(a+b*arcsinh(c*x))/(f-I*c*f*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b c^{2} d^{2} x^{2} - 2 i \, b c d^{2} x - b d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a c^{2} d^{2} x^{2} - 2 i \, a c d^{2} x - a d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{2} f^{2} x^{2} + 2 i \, c f^{2} x - f^{2}}, x\right)"," ",0,"integral(((b*c^2*d^2*x^2 - 2*I*b*c*d^2*x - b*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a*c^2*d^2*x^2 - 2*I*a*c*d^2*x - a*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^2*f^2*x^2 + 2*I*c*f^2*x - f^2), x)","F",0
559,0,0,0,0.802168," ","integrate((d+I*c*d*x)^(3/2)*(a+b*arcsinh(c*x))/(f-I*c*f*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-i \, b c d x - b d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(-i \, a c d x - a d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{2} f^{2} x^{2} + 2 i \, c f^{2} x - f^{2}}, x\right)"," ",0,"integral(((-I*b*c*d*x - b*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (-I*a*c*d*x - a*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^2*f^2*x^2 + 2*I*c*f^2*x - f^2), x)","F",0
560,0,0,0,0.623151," ","integrate((a+b*arcsinh(c*x))*(d+I*c*d*x)^(1/2)/(f-I*c*f*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a}{c^{2} f^{2} x^{2} + 2 i \, c f^{2} x - f^{2}}, x\right)"," ",0,"integral(-(sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a)/(c^2*f^2*x^2 + 2*I*c*f^2*x - f^2), x)","F",0
561,1,445,0,0.648866," ","integrate((a+b*arcsinh(c*x))/(f-I*c*f*x)^(3/2)/(d+I*c*d*x)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - {\left(c^{2} d f^{2} x + i \, c d f^{2}\right)} \sqrt{\frac{b^{2}}{c^{2} d f^{3}}} \log\left(\frac{{\left(2 i \, b c^{6} x^{2} - 4 \, b c^{5} x - 4 i \, b c^{4}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} + 2 \, {\left(i \, c^{9} d f^{2} x^{4} - 2 \, c^{8} d f^{2} x^{3} + i \, c^{7} d f^{2} x^{2} - 2 \, c^{6} d f^{2} x\right)} \sqrt{\frac{b^{2}}{c^{2} d f^{3}}}}{16 \, b c^{3} x^{3} + 16 i \, b c^{2} x^{2} + 16 \, b c x + 16 i \, b}\right) + {\left(c^{2} d f^{2} x + i \, c d f^{2}\right)} \sqrt{\frac{b^{2}}{c^{2} d f^{3}}} \log\left(\frac{{\left(2 i \, b c^{6} x^{2} - 4 \, b c^{5} x - 4 i \, b c^{4}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} + 2 \, {\left(-i \, c^{9} d f^{2} x^{4} + 2 \, c^{8} d f^{2} x^{3} - i \, c^{7} d f^{2} x^{2} + 2 \, c^{6} d f^{2} x\right)} \sqrt{\frac{b^{2}}{c^{2} d f^{3}}}}{16 \, b c^{3} x^{3} + 16 i \, b c^{2} x^{2} + 16 \, b c x + 16 i \, b}\right) + 2 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a}{2 \, {\left(c^{2} d f^{2} x + i \, c d f^{2}\right)}}"," ",0,"1/2*(2*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*log(c*x + sqrt(c^2*x^2 + 1)) - (c^2*d*f^2*x + I*c*d*f^2)*sqrt(b^2/(c^2*d*f^3))*log(((2*I*b*c^6*x^2 - 4*b*c^5*x - 4*I*b*c^4)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f) + 2*(I*c^9*d*f^2*x^4 - 2*c^8*d*f^2*x^3 + I*c^7*d*f^2*x^2 - 2*c^6*d*f^2*x)*sqrt(b^2/(c^2*d*f^3)))/(16*b*c^3*x^3 + 16*I*b*c^2*x^2 + 16*b*c*x + 16*I*b)) + (c^2*d*f^2*x + I*c*d*f^2)*sqrt(b^2/(c^2*d*f^3))*log(((2*I*b*c^6*x^2 - 4*b*c^5*x - 4*I*b*c^4)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f) + 2*(-I*c^9*d*f^2*x^4 + 2*c^8*d*f^2*x^3 - I*c^7*d*f^2*x^2 + 2*c^6*d*f^2*x)*sqrt(b^2/(c^2*d*f^3)))/(16*b*c^3*x^3 + 16*I*b*c^2*x^2 + 16*b*c*x + 16*I*b)) + 2*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a)/(c^2*d*f^2*x + I*c*d*f^2)","B",0
562,0,0,0,0.876657," ","integrate((a+b*arcsinh(c*x))/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2),x, algorithm=""fricas"")","\frac{4 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b x \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + 4 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a x + {\left(c^{2} d^{2} f^{2} x^{2} + d^{2} f^{2}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{3}}} \log\left(\frac{b c^{2} x^{4} + \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d f x^{2} \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{3}}} + b x^{2}}{b c^{4} x^{4} + 2 \, b c^{2} x^{2} + b}\right) - {\left(c^{2} d^{2} f^{2} x^{2} + d^{2} f^{2}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{3}}} \log\left(\frac{b c^{2} x^{4} - \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d f x^{2} \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{3}}} + b x^{2}}{b c^{4} x^{4} + 2 \, b c^{2} x^{2} + b}\right) - 2 \, {\left(c^{2} d^{2} f^{2} x^{2} + d^{2} f^{2}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{3}}} \log\left(\frac{b c^{2} x^{3} + \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d f x \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{3}}} + b x}{b c^{2} x^{2} + b}\right) + 2 \, {\left(c^{2} d^{2} f^{2} x^{2} + d^{2} f^{2}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{3}}} \log\left(\frac{b c^{2} x^{3} - \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d f x \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{3}}} + b x}{b c^{2} x^{2} + b}\right) + 4 \, {\left(c^{2} d^{2} f^{2} x^{2} + d^{2} f^{2}\right)} {\rm integral}\left(-\frac{\sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b c x}{c^{4} d^{2} f^{2} x^{4} + 2 \, c^{2} d^{2} f^{2} x^{2} + d^{2} f^{2}}, x\right)}{4 \, {\left(c^{2} d^{2} f^{2} x^{2} + d^{2} f^{2}\right)}}"," ",0,"1/4*(4*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*x*log(c*x + sqrt(c^2*x^2 + 1)) + 4*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*x + (c^2*d^2*f^2*x^2 + d^2*f^2)*sqrt(b^2/(c^2*d^3*f^3))*log((b*c^2*x^4 + sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d*f*x^2*sqrt(b^2/(c^2*d^3*f^3)) + b*x^2)/(b*c^4*x^4 + 2*b*c^2*x^2 + b)) - (c^2*d^2*f^2*x^2 + d^2*f^2)*sqrt(b^2/(c^2*d^3*f^3))*log((b*c^2*x^4 - sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d*f*x^2*sqrt(b^2/(c^2*d^3*f^3)) + b*x^2)/(b*c^4*x^4 + 2*b*c^2*x^2 + b)) - 2*(c^2*d^2*f^2*x^2 + d^2*f^2)*sqrt(b^2/(c^2*d^3*f^3))*log((b*c^2*x^3 + sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d*f*x*sqrt(b^2/(c^2*d^3*f^3)) + b*x)/(b*c^2*x^2 + b)) + 2*(c^2*d^2*f^2*x^2 + d^2*f^2)*sqrt(b^2/(c^2*d^3*f^3))*log((b*c^2*x^3 - sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d*f*x*sqrt(b^2/(c^2*d^3*f^3)) + b*x)/(b*c^2*x^2 + b)) + 4*(c^2*d^2*f^2*x^2 + d^2*f^2)*integral(-sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*c*x/(c^4*d^2*f^2*x^4 + 2*c^2*d^2*f^2*x^2 + d^2*f^2), x))/(c^2*d^2*f^2*x^2 + d^2*f^2)","F",0
563,0,0,0,1.080623," ","integrate((a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(3/2),x, algorithm=""fricas"")","-\frac{48 \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b c x - 3 \, {\left(64 \, b c^{2} x^{2} - 64 i \, b c x + 32 \, b\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 4 \, {\left(9 \, c^{4} d^{3} f^{2} x^{3} - 9 i \, c^{3} d^{3} f^{2} x^{2} + 9 \, c^{2} d^{3} f^{2} x - 9 i \, c d^{3} f^{2}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{3}}} \log\left(\frac{4 i \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d^{2} f x \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{3}}} + 4 i \, b c^{2} x^{3} + 4 i \, b x}{4 \, b c^{3} x^{3} + 4 i \, b c^{2} x^{2} + 4 \, b c x + 4 i \, b}\right) + 4 \, {\left(15 \, c^{4} d^{3} f^{2} x^{3} - 15 i \, c^{3} d^{3} f^{2} x^{2} + 15 \, c^{2} d^{3} f^{2} x - 15 i \, c d^{3} f^{2}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{3}}} \log\left(\frac{4 i \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d^{2} f x \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{3}}} - 4 i \, b c^{2} x^{3} - 4 i \, b x}{4 \, b c^{3} x^{3} - 4 i \, b c^{2} x^{2} + 4 \, b c x - 4 i \, b}\right) + 4 \, {\left(9 \, c^{4} d^{3} f^{2} x^{3} - 9 i \, c^{3} d^{3} f^{2} x^{2} + 9 \, c^{2} d^{3} f^{2} x - 9 i \, c d^{3} f^{2}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{3}}} \log\left(\frac{-4 i \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d^{2} f x \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{3}}} + 4 i \, b c^{2} x^{3} + 4 i \, b x}{4 \, b c^{3} x^{3} + 4 i \, b c^{2} x^{2} + 4 \, b c x + 4 i \, b}\right) - 4 \, {\left(15 \, c^{4} d^{3} f^{2} x^{3} - 15 i \, c^{3} d^{3} f^{2} x^{2} + 15 \, c^{2} d^{3} f^{2} x - 15 i \, c d^{3} f^{2}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{3}}} \log\left(\frac{-4 i \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d^{2} f x \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{3}}} - 4 i \, b c^{2} x^{3} - 4 i \, b x}{4 \, b c^{3} x^{3} - 4 i \, b c^{2} x^{2} + 4 \, b c x - 4 i \, b}\right) + 4 \, {\left(24 \, c^{4} d^{3} f^{2} x^{3} - 24 i \, c^{3} d^{3} f^{2} x^{2} + 24 \, c^{2} d^{3} f^{2} x - 24 i \, c d^{3} f^{2}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{3}}} \log\left(\frac{\sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d^{2} f x \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{3}}} + b c^{2} x^{3} + b x}{b c^{2} x^{2} + b}\right) - 4 \, {\left(24 \, c^{4} d^{3} f^{2} x^{3} - 24 i \, c^{3} d^{3} f^{2} x^{2} + 24 \, c^{2} d^{3} f^{2} x - 24 i \, c d^{3} f^{2}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{3}}} \log\left(-\frac{\sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d^{2} f x \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{3}}} - b c^{2} x^{3} - b x}{b c^{2} x^{2} + b}\right) - 3 \, {\left(64 \, a c^{2} x^{2} - 64 i \, a c x + 32 \, a\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} - 3 \, {\left(96 \, c^{4} d^{3} f^{2} x^{3} - 96 i \, c^{3} d^{3} f^{2} x^{2} + 96 \, c^{2} d^{3} f^{2} x - 96 i \, c d^{3} f^{2}\right)} {\rm integral}\left(-\frac{\sqrt{c^{2} x^{2} + 1} {\left(4 \, b c x + i \, b\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{6 \, {\left(c^{4} d^{3} f^{2} x^{4} + 2 \, c^{2} d^{3} f^{2} x^{2} + d^{3} f^{2}\right)}}, x\right)}{3 \, {\left(96 \, c^{4} d^{3} f^{2} x^{3} - 96 i \, c^{3} d^{3} f^{2} x^{2} + 96 \, c^{2} d^{3} f^{2} x - 96 i \, c d^{3} f^{2}\right)}}"," ",0,"-1/3*(48*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*c*x - 3*(64*b*c^2*x^2 - 64*I*b*c*x + 32*b)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) - 4*(9*c^4*d^3*f^2*x^3 - 9*I*c^3*d^3*f^2*x^2 + 9*c^2*d^3*f^2*x - 9*I*c*d^3*f^2)*sqrt(b^2/(c^2*d^5*f^3))*log((4*I*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d^2*f*x*sqrt(b^2/(c^2*d^5*f^3)) + 4*I*b*c^2*x^3 + 4*I*b*x)/(4*b*c^3*x^3 + 4*I*b*c^2*x^2 + 4*b*c*x + 4*I*b)) + 4*(15*c^4*d^3*f^2*x^3 - 15*I*c^3*d^3*f^2*x^2 + 15*c^2*d^3*f^2*x - 15*I*c*d^3*f^2)*sqrt(b^2/(c^2*d^5*f^3))*log((4*I*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d^2*f*x*sqrt(b^2/(c^2*d^5*f^3)) - 4*I*b*c^2*x^3 - 4*I*b*x)/(4*b*c^3*x^3 - 4*I*b*c^2*x^2 + 4*b*c*x - 4*I*b)) + 4*(9*c^4*d^3*f^2*x^3 - 9*I*c^3*d^3*f^2*x^2 + 9*c^2*d^3*f^2*x - 9*I*c*d^3*f^2)*sqrt(b^2/(c^2*d^5*f^3))*log((-4*I*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d^2*f*x*sqrt(b^2/(c^2*d^5*f^3)) + 4*I*b*c^2*x^3 + 4*I*b*x)/(4*b*c^3*x^3 + 4*I*b*c^2*x^2 + 4*b*c*x + 4*I*b)) - 4*(15*c^4*d^3*f^2*x^3 - 15*I*c^3*d^3*f^2*x^2 + 15*c^2*d^3*f^2*x - 15*I*c*d^3*f^2)*sqrt(b^2/(c^2*d^5*f^3))*log((-4*I*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d^2*f*x*sqrt(b^2/(c^2*d^5*f^3)) - 4*I*b*c^2*x^3 - 4*I*b*x)/(4*b*c^3*x^3 - 4*I*b*c^2*x^2 + 4*b*c*x - 4*I*b)) + 4*(24*c^4*d^3*f^2*x^3 - 24*I*c^3*d^3*f^2*x^2 + 24*c^2*d^3*f^2*x - 24*I*c*d^3*f^2)*sqrt(b^2/(c^2*d^5*f^3))*log((sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d^2*f*x*sqrt(b^2/(c^2*d^5*f^3)) + b*c^2*x^3 + b*x)/(b*c^2*x^2 + b)) - 4*(24*c^4*d^3*f^2*x^3 - 24*I*c^3*d^3*f^2*x^2 + 24*c^2*d^3*f^2*x - 24*I*c*d^3*f^2)*sqrt(b^2/(c^2*d^5*f^3))*log(-(sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d^2*f*x*sqrt(b^2/(c^2*d^5*f^3)) - b*c^2*x^3 - b*x)/(b*c^2*x^2 + b)) - 3*(64*a*c^2*x^2 - 64*I*a*c*x + 32*a)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f) - 3*(96*c^4*d^3*f^2*x^3 - 96*I*c^3*d^3*f^2*x^2 + 96*c^2*d^3*f^2*x - 96*I*c*d^3*f^2)*integral(-1/6*sqrt(c^2*x^2 + 1)*(4*b*c*x + I*b)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)/(c^4*d^3*f^2*x^4 + 2*c^2*d^3*f^2*x^2 + d^3*f^2), x))/(96*c^4*d^3*f^2*x^3 - 96*I*c^3*d^3*f^2*x^2 + 96*c^2*d^3*f^2*x - 96*I*c*d^3*f^2)","F",0
564,0,0,0,0.522598," ","integrate((d+I*c*d*x)^(5/2)*(a+b*arcsinh(c*x))/(f-I*c*f*x)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(i \, b c^{2} d^{2} x^{2} + 2 \, b c d^{2} x - i \, b d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(i \, a c^{2} d^{2} x^{2} + 2 \, a c d^{2} x - i \, a d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{3} f^{3} x^{3} + 3 i \, c^{2} f^{3} x^{2} - 3 \, c f^{3} x - i \, f^{3}}, x\right)"," ",0,"integral(((I*b*c^2*d^2*x^2 + 2*b*c*d^2*x - I*b*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (I*a*c^2*d^2*x^2 + 2*a*c*d^2*x - I*a*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^3*f^3*x^3 + 3*I*c^2*f^3*x^2 - 3*c*f^3*x - I*f^3), x)","F",0
565,0,0,0,0.744366," ","integrate((d+I*c*d*x)^(3/2)*(a+b*arcsinh(c*x))/(f-I*c*f*x)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b c d x - i \, b d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a c d x - i \, a d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{3} f^{3} x^{3} + 3 i \, c^{2} f^{3} x^{2} - 3 \, c f^{3} x - i \, f^{3}}, x\right)"," ",0,"integral(((b*c*d*x - I*b*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a*c*d*x - I*a*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^3*f^3*x^3 + 3*I*c^2*f^3*x^2 - 3*c*f^3*x - I*f^3), x)","F",0
566,1,565,0,0.691512," ","integrate((a+b*arcsinh(c*x))*(d+I*c*d*x)^(1/2)/(f-I*c*f*x)^(5/2),x, algorithm=""fricas"")","-\frac{24 \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b c x + 3 \, {\left(4 \, b c^{2} x^{2} - 8 i \, b c x - 4 \, b\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 2 \, {\left(3 \, c^{4} f^{3} x^{3} + 3 i \, c^{3} f^{3} x^{2} + 3 \, c^{2} f^{3} x + 3 i \, c f^{3}\right)} \sqrt{\frac{b^{2} d}{c^{2} f^{5}}} \log\left(\frac{3 \, {\left(2 i \, b c^{6} x^{2} - 4 \, b c^{5} x - 4 i \, b c^{4}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} + 2 \, {\left(3 i \, c^{9} f^{3} x^{4} - 6 \, c^{8} f^{3} x^{3} + 3 i \, c^{7} f^{3} x^{2} - 6 \, c^{6} f^{3} x\right)} \sqrt{\frac{b^{2} d}{c^{2} f^{5}}}}{3 \, {\left(16 \, b c^{3} x^{3} + 16 i \, b c^{2} x^{2} + 16 \, b c x + 16 i \, b\right)}}\right) + 2 \, {\left(3 \, c^{4} f^{3} x^{3} + 3 i \, c^{3} f^{3} x^{2} + 3 \, c^{2} f^{3} x + 3 i \, c f^{3}\right)} \sqrt{\frac{b^{2} d}{c^{2} f^{5}}} \log\left(\frac{3 \, {\left(2 i \, b c^{6} x^{2} - 4 \, b c^{5} x - 4 i \, b c^{4}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} + 2 \, {\left(-3 i \, c^{9} f^{3} x^{4} + 6 \, c^{8} f^{3} x^{3} - 3 i \, c^{7} f^{3} x^{2} + 6 \, c^{6} f^{3} x\right)} \sqrt{\frac{b^{2} d}{c^{2} f^{5}}}}{3 \, {\left(16 \, b c^{3} x^{3} + 16 i \, b c^{2} x^{2} + 16 \, b c x + 16 i \, b\right)}}\right) + 3 \, {\left(4 \, a c^{2} x^{2} - 8 i \, a c x - 4 \, a\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{3 \, {\left(12 \, c^{4} f^{3} x^{3} + 12 i \, c^{3} f^{3} x^{2} + 12 \, c^{2} f^{3} x + 12 i \, c f^{3}\right)}}"," ",0,"-1/3*(24*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*c*x + 3*(4*b*c^2*x^2 - 8*I*b*c*x - 4*b)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) - 2*(3*c^4*f^3*x^3 + 3*I*c^3*f^3*x^2 + 3*c^2*f^3*x + 3*I*c*f^3)*sqrt(b^2*d/(c^2*f^5))*log(1/3*(3*(2*I*b*c^6*x^2 - 4*b*c^5*x - 4*I*b*c^4)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f) + 2*(3*I*c^9*f^3*x^4 - 6*c^8*f^3*x^3 + 3*I*c^7*f^3*x^2 - 6*c^6*f^3*x)*sqrt(b^2*d/(c^2*f^5)))/(16*b*c^3*x^3 + 16*I*b*c^2*x^2 + 16*b*c*x + 16*I*b)) + 2*(3*c^4*f^3*x^3 + 3*I*c^3*f^3*x^2 + 3*c^2*f^3*x + 3*I*c*f^3)*sqrt(b^2*d/(c^2*f^5))*log(1/3*(3*(2*I*b*c^6*x^2 - 4*b*c^5*x - 4*I*b*c^4)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f) + 2*(-3*I*c^9*f^3*x^4 + 6*c^8*f^3*x^3 - 3*I*c^7*f^3*x^2 + 6*c^6*f^3*x)*sqrt(b^2*d/(c^2*f^5)))/(16*b*c^3*x^3 + 16*I*b*c^2*x^2 + 16*b*c*x + 16*I*b)) + 3*(4*a*c^2*x^2 - 8*I*a*c*x - 4*a)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(12*c^4*f^3*x^3 + 12*I*c^3*f^3*x^2 + 12*c^2*f^3*x + 12*I*c*f^3)","B",0
567,1,593,0,0.786325," ","integrate((a+b*arcsinh(c*x))/(f-I*c*f*x)^(5/2)/(d+I*c*d*x)^(1/2),x, algorithm=""fricas"")","-\frac{12 \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b c x - 3 \, {\left(4 \, b c^{2} x^{2} + 4 i \, b c x + 8 \, b\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + 2 \, {\left(3 \, c^{4} d f^{3} x^{3} + 3 i \, c^{3} d f^{3} x^{2} + 3 \, c^{2} d f^{3} x + 3 i \, c d f^{3}\right)} \sqrt{\frac{b^{2}}{c^{2} d f^{5}}} \log\left(\frac{3 \, {\left(2 i \, b c^{6} x^{2} - 4 \, b c^{5} x - 4 i \, b c^{4}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} + 2 \, {\left(3 i \, c^{9} d f^{3} x^{4} - 6 \, c^{8} d f^{3} x^{3} + 3 i \, c^{7} d f^{3} x^{2} - 6 \, c^{6} d f^{3} x\right)} \sqrt{\frac{b^{2}}{c^{2} d f^{5}}}}{3 \, {\left(16 \, b c^{3} x^{3} + 16 i \, b c^{2} x^{2} + 16 \, b c x + 16 i \, b\right)}}\right) - 2 \, {\left(3 \, c^{4} d f^{3} x^{3} + 3 i \, c^{3} d f^{3} x^{2} + 3 \, c^{2} d f^{3} x + 3 i \, c d f^{3}\right)} \sqrt{\frac{b^{2}}{c^{2} d f^{5}}} \log\left(\frac{3 \, {\left(2 i \, b c^{6} x^{2} - 4 \, b c^{5} x - 4 i \, b c^{4}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} + 2 \, {\left(-3 i \, c^{9} d f^{3} x^{4} + 6 \, c^{8} d f^{3} x^{3} - 3 i \, c^{7} d f^{3} x^{2} + 6 \, c^{6} d f^{3} x\right)} \sqrt{\frac{b^{2}}{c^{2} d f^{5}}}}{3 \, {\left(16 \, b c^{3} x^{3} + 16 i \, b c^{2} x^{2} + 16 \, b c x + 16 i \, b\right)}}\right) - 3 \, {\left(4 \, a c^{2} x^{2} + 4 i \, a c x + 8 \, a\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{3 \, {\left(12 \, c^{4} d f^{3} x^{3} + 12 i \, c^{3} d f^{3} x^{2} + 12 \, c^{2} d f^{3} x + 12 i \, c d f^{3}\right)}}"," ",0,"-1/3*(12*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*c*x - 3*(4*b*c^2*x^2 + 4*I*b*c*x + 8*b)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + 2*(3*c^4*d*f^3*x^3 + 3*I*c^3*d*f^3*x^2 + 3*c^2*d*f^3*x + 3*I*c*d*f^3)*sqrt(b^2/(c^2*d*f^5))*log(1/3*(3*(2*I*b*c^6*x^2 - 4*b*c^5*x - 4*I*b*c^4)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f) + 2*(3*I*c^9*d*f^3*x^4 - 6*c^8*d*f^3*x^3 + 3*I*c^7*d*f^3*x^2 - 6*c^6*d*f^3*x)*sqrt(b^2/(c^2*d*f^5)))/(16*b*c^3*x^3 + 16*I*b*c^2*x^2 + 16*b*c*x + 16*I*b)) - 2*(3*c^4*d*f^3*x^3 + 3*I*c^3*d*f^3*x^2 + 3*c^2*d*f^3*x + 3*I*c*d*f^3)*sqrt(b^2/(c^2*d*f^5))*log(1/3*(3*(2*I*b*c^6*x^2 - 4*b*c^5*x - 4*I*b*c^4)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f) + 2*(-3*I*c^9*d*f^3*x^4 + 6*c^8*d*f^3*x^3 - 3*I*c^7*d*f^3*x^2 + 6*c^6*d*f^3*x)*sqrt(b^2/(c^2*d*f^5)))/(16*b*c^3*x^3 + 16*I*b*c^2*x^2 + 16*b*c*x + 16*I*b)) - 3*(4*a*c^2*x^2 + 4*I*a*c*x + 8*a)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(12*c^4*d*f^3*x^3 + 12*I*c^3*d*f^3*x^2 + 12*c^2*d*f^3*x + 12*I*c*d*f^3)","B",0
568,0,0,0,1.112031," ","integrate((a+b*arcsinh(c*x))/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(5/2),x, algorithm=""fricas"")","-\frac{48 \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b c x - 3 \, {\left(64 \, b c^{2} x^{2} + 64 i \, b c x + 32 \, b\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - 4 \, {\left(15 \, c^{4} d^{2} f^{3} x^{3} + 15 i \, c^{3} d^{2} f^{3} x^{2} + 15 \, c^{2} d^{2} f^{3} x + 15 i \, c d^{2} f^{3}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{5}}} \log\left(\frac{4 i \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d f^{2} x \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{5}}} + 4 i \, b c^{2} x^{3} + 4 i \, b x}{4 \, b c^{3} x^{3} + 4 i \, b c^{2} x^{2} + 4 \, b c x + 4 i \, b}\right) + 4 \, {\left(9 \, c^{4} d^{2} f^{3} x^{3} + 9 i \, c^{3} d^{2} f^{3} x^{2} + 9 \, c^{2} d^{2} f^{3} x + 9 i \, c d^{2} f^{3}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{5}}} \log\left(\frac{4 i \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d f^{2} x \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{5}}} - 4 i \, b c^{2} x^{3} - 4 i \, b x}{4 \, b c^{3} x^{3} - 4 i \, b c^{2} x^{2} + 4 \, b c x - 4 i \, b}\right) + 4 \, {\left(15 \, c^{4} d^{2} f^{3} x^{3} + 15 i \, c^{3} d^{2} f^{3} x^{2} + 15 \, c^{2} d^{2} f^{3} x + 15 i \, c d^{2} f^{3}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{5}}} \log\left(\frac{-4 i \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d f^{2} x \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{5}}} + 4 i \, b c^{2} x^{3} + 4 i \, b x}{4 \, b c^{3} x^{3} + 4 i \, b c^{2} x^{2} + 4 \, b c x + 4 i \, b}\right) - 4 \, {\left(9 \, c^{4} d^{2} f^{3} x^{3} + 9 i \, c^{3} d^{2} f^{3} x^{2} + 9 \, c^{2} d^{2} f^{3} x + 9 i \, c d^{2} f^{3}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{5}}} \log\left(\frac{-4 i \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d f^{2} x \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{5}}} - 4 i \, b c^{2} x^{3} - 4 i \, b x}{4 \, b c^{3} x^{3} - 4 i \, b c^{2} x^{2} + 4 \, b c x - 4 i \, b}\right) + 4 \, {\left(24 \, c^{4} d^{2} f^{3} x^{3} + 24 i \, c^{3} d^{2} f^{3} x^{2} + 24 \, c^{2} d^{2} f^{3} x + 24 i \, c d^{2} f^{3}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{5}}} \log\left(\frac{\sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d f^{2} x \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{5}}} + b c^{2} x^{3} + b x}{b c^{2} x^{2} + b}\right) - 4 \, {\left(24 \, c^{4} d^{2} f^{3} x^{3} + 24 i \, c^{3} d^{2} f^{3} x^{2} + 24 \, c^{2} d^{2} f^{3} x + 24 i \, c d^{2} f^{3}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{5}}} \log\left(-\frac{\sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d f^{2} x \sqrt{\frac{b^{2}}{c^{2} d^{3} f^{5}}} - b c^{2} x^{3} - b x}{b c^{2} x^{2} + b}\right) - 3 \, {\left(64 \, a c^{2} x^{2} + 64 i \, a c x + 32 \, a\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} - 3 \, {\left(96 \, c^{4} d^{2} f^{3} x^{3} + 96 i \, c^{3} d^{2} f^{3} x^{2} + 96 \, c^{2} d^{2} f^{3} x + 96 i \, c d^{2} f^{3}\right)} {\rm integral}\left(-\frac{\sqrt{c^{2} x^{2} + 1} {\left(4 \, b c x - i \, b\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{6 \, {\left(c^{4} d^{2} f^{3} x^{4} + 2 \, c^{2} d^{2} f^{3} x^{2} + d^{2} f^{3}\right)}}, x\right)}{3 \, {\left(96 \, c^{4} d^{2} f^{3} x^{3} + 96 i \, c^{3} d^{2} f^{3} x^{2} + 96 \, c^{2} d^{2} f^{3} x + 96 i \, c d^{2} f^{3}\right)}}"," ",0,"-1/3*(48*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*c*x - 3*(64*b*c^2*x^2 + 64*I*b*c*x + 32*b)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) - 4*(15*c^4*d^2*f^3*x^3 + 15*I*c^3*d^2*f^3*x^2 + 15*c^2*d^2*f^3*x + 15*I*c*d^2*f^3)*sqrt(b^2/(c^2*d^3*f^5))*log((4*I*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d*f^2*x*sqrt(b^2/(c^2*d^3*f^5)) + 4*I*b*c^2*x^3 + 4*I*b*x)/(4*b*c^3*x^3 + 4*I*b*c^2*x^2 + 4*b*c*x + 4*I*b)) + 4*(9*c^4*d^2*f^3*x^3 + 9*I*c^3*d^2*f^3*x^2 + 9*c^2*d^2*f^3*x + 9*I*c*d^2*f^3)*sqrt(b^2/(c^2*d^3*f^5))*log((4*I*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d*f^2*x*sqrt(b^2/(c^2*d^3*f^5)) - 4*I*b*c^2*x^3 - 4*I*b*x)/(4*b*c^3*x^3 - 4*I*b*c^2*x^2 + 4*b*c*x - 4*I*b)) + 4*(15*c^4*d^2*f^3*x^3 + 15*I*c^3*d^2*f^3*x^2 + 15*c^2*d^2*f^3*x + 15*I*c*d^2*f^3)*sqrt(b^2/(c^2*d^3*f^5))*log((-4*I*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d*f^2*x*sqrt(b^2/(c^2*d^3*f^5)) + 4*I*b*c^2*x^3 + 4*I*b*x)/(4*b*c^3*x^3 + 4*I*b*c^2*x^2 + 4*b*c*x + 4*I*b)) - 4*(9*c^4*d^2*f^3*x^3 + 9*I*c^3*d^2*f^3*x^2 + 9*c^2*d^2*f^3*x + 9*I*c*d^2*f^3)*sqrt(b^2/(c^2*d^3*f^5))*log((-4*I*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d*f^2*x*sqrt(b^2/(c^2*d^3*f^5)) - 4*I*b*c^2*x^3 - 4*I*b*x)/(4*b*c^3*x^3 - 4*I*b*c^2*x^2 + 4*b*c*x - 4*I*b)) + 4*(24*c^4*d^2*f^3*x^3 + 24*I*c^3*d^2*f^3*x^2 + 24*c^2*d^2*f^3*x + 24*I*c*d^2*f^3)*sqrt(b^2/(c^2*d^3*f^5))*log((sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d*f^2*x*sqrt(b^2/(c^2*d^3*f^5)) + b*c^2*x^3 + b*x)/(b*c^2*x^2 + b)) - 4*(24*c^4*d^2*f^3*x^3 + 24*I*c^3*d^2*f^3*x^2 + 24*c^2*d^2*f^3*x + 24*I*c*d^2*f^3)*sqrt(b^2/(c^2*d^3*f^5))*log(-(sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d*f^2*x*sqrt(b^2/(c^2*d^3*f^5)) - b*c^2*x^3 - b*x)/(b*c^2*x^2 + b)) - 3*(64*a*c^2*x^2 + 64*I*a*c*x + 32*a)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f) - 3*(96*c^4*d^2*f^3*x^3 + 96*I*c^3*d^2*f^3*x^2 + 96*c^2*d^2*f^3*x + 96*I*c*d^2*f^3)*integral(-1/6*sqrt(c^2*x^2 + 1)*(4*b*c*x - I*b)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)/(c^4*d^2*f^3*x^4 + 2*c^2*d^2*f^3*x^2 + d^2*f^3), x))/(96*c^4*d^2*f^3*x^3 + 96*I*c^3*d^2*f^3*x^2 + 96*c^2*d^2*f^3*x + 96*I*c*d^2*f^3)","F",0
569,0,0,0,0.838513," ","integrate((a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2),x, algorithm=""fricas"")","-\frac{\sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b c x^{2} - 2 \, {\left(2 \, b c^{2} x^{3} + 3 \, b x\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - {\left(c^{4} d^{3} f^{3} x^{4} + 2 \, c^{2} d^{3} f^{3} x^{2} + d^{3} f^{3}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{5}}} \log\left(\frac{\sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d^{2} f^{2} x^{2} \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{5}}} + b c^{2} x^{4} + b x^{2}}{b c^{4} x^{4} + 2 \, b c^{2} x^{2} + b}\right) + {\left(c^{4} d^{3} f^{3} x^{4} + 2 \, c^{2} d^{3} f^{3} x^{2} + d^{3} f^{3}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{5}}} \log\left(-\frac{\sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d^{2} f^{2} x^{2} \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{5}}} - b c^{2} x^{4} - b x^{2}}{b c^{4} x^{4} + 2 \, b c^{2} x^{2} + b}\right) + 2 \, {\left(c^{4} d^{3} f^{3} x^{4} + 2 \, c^{2} d^{3} f^{3} x^{2} + d^{3} f^{3}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{5}}} \log\left(\frac{\sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d^{2} f^{2} x \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{5}}} + b c^{2} x^{3} + b x}{b c^{2} x^{2} + b}\right) - 2 \, {\left(c^{4} d^{3} f^{3} x^{4} + 2 \, c^{2} d^{3} f^{3} x^{2} + d^{3} f^{3}\right)} \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{5}}} \log\left(-\frac{\sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} c d^{2} f^{2} x \sqrt{\frac{b^{2}}{c^{2} d^{5} f^{5}}} - b c^{2} x^{3} - b x}{b c^{2} x^{2} + b}\right) - 2 \, {\left(2 \, a c^{2} x^{3} + 3 \, a x\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} - 6 \, {\left(c^{4} d^{3} f^{3} x^{4} + 2 \, c^{2} d^{3} f^{3} x^{2} + d^{3} f^{3}\right)} {\rm integral}\left(-\frac{2 \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b c x}{3 \, {\left(c^{4} d^{3} f^{3} x^{4} + 2 \, c^{2} d^{3} f^{3} x^{2} + d^{3} f^{3}\right)}}, x\right)}{6 \, {\left(c^{4} d^{3} f^{3} x^{4} + 2 \, c^{2} d^{3} f^{3} x^{2} + d^{3} f^{3}\right)}}"," ",0,"-1/6*(sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*c*x^2 - 2*(2*b*c^2*x^3 + 3*b*x)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) - (c^4*d^3*f^3*x^4 + 2*c^2*d^3*f^3*x^2 + d^3*f^3)*sqrt(b^2/(c^2*d^5*f^5))*log((sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d^2*f^2*x^2*sqrt(b^2/(c^2*d^5*f^5)) + b*c^2*x^4 + b*x^2)/(b*c^4*x^4 + 2*b*c^2*x^2 + b)) + (c^4*d^3*f^3*x^4 + 2*c^2*d^3*f^3*x^2 + d^3*f^3)*sqrt(b^2/(c^2*d^5*f^5))*log(-(sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d^2*f^2*x^2*sqrt(b^2/(c^2*d^5*f^5)) - b*c^2*x^4 - b*x^2)/(b*c^4*x^4 + 2*b*c^2*x^2 + b)) + 2*(c^4*d^3*f^3*x^4 + 2*c^2*d^3*f^3*x^2 + d^3*f^3)*sqrt(b^2/(c^2*d^5*f^5))*log((sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d^2*f^2*x*sqrt(b^2/(c^2*d^5*f^5)) + b*c^2*x^3 + b*x)/(b*c^2*x^2 + b)) - 2*(c^4*d^3*f^3*x^4 + 2*c^2*d^3*f^3*x^2 + d^3*f^3)*sqrt(b^2/(c^2*d^5*f^5))*log(-(sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*c*d^2*f^2*x*sqrt(b^2/(c^2*d^5*f^5)) - b*c^2*x^3 - b*x)/(b*c^2*x^2 + b)) - 2*(2*a*c^2*x^3 + 3*a*x)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f) - 6*(c^4*d^3*f^3*x^4 + 2*c^2*d^3*f^3*x^2 + d^3*f^3)*integral(-2/3*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b*c*x/(c^4*d^3*f^3*x^4 + 2*c^2*d^3*f^3*x^2 + d^3*f^3), x))/(c^4*d^3*f^3*x^4 + 2*c^2*d^3*f^3*x^2 + d^3*f^3)","F",0
570,0,0,0,0.614465," ","integrate((d+I*c*d*x)^(5/2)*(a+b*arcsinh(c*x))^2*(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(b^{2} c^{2} d^{2} x^{2} - 2 i \, b^{2} c d^{2} x - b^{2} d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} - {\left(2 \, a b c^{2} d^{2} x^{2} - 4 i \, a b c d^{2} x - 2 \, a b d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - {\left(a^{2} c^{2} d^{2} x^{2} - 2 i \, a^{2} c d^{2} x - a^{2} d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral(-(b^2*c^2*d^2*x^2 - 2*I*b^2*c*d^2*x - b^2*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 - (2*a*b*c^2*d^2*x^2 - 4*I*a*b*c*d^2*x - 2*a*b*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) - (a^2*c^2*d^2*x^2 - 2*I*a^2*c*d^2*x - a^2*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
571,0,0,0,0.645854," ","integrate((d+I*c*d*x)^(3/2)*(a+b*arcsinh(c*x))^2*(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(i \, b^{2} c d x + b^{2} d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(2 i \, a b c d x + 2 \, a b d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(i \, a^{2} c d x + a^{2} d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral((I*b^2*c*d*x + b^2*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (2*I*a*b*c*d*x + 2*a*b*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (I*a^2*c*d*x + a^2*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
572,0,0,0,0.725746," ","integrate((a+b*arcsinh(c*x))^2*(d+I*c*d*x)^(1/2)*(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b^{2} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 2 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2}, x\right)"," ",0,"integral(sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b^2*log(c*x + sqrt(c^2*x^2 + 1))^2 + 2*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2, x)","F",0
573,0,0,0,0.656002," ","integrate((a+b*arcsinh(c*x))^2*(f-I*c*f*x)^(1/2)/(d+I*c*d*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{-i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b^{2} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} - 2 i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2}}{c d x - i \, d}, x\right)"," ",0,"integral((-I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b^2*log(c*x + sqrt(c^2*x^2 + 1))^2 - 2*I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b*log(c*x + sqrt(c^2*x^2 + 1)) - I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2)/(c*d*x - I*d), x)","F",0
574,0,0,0,0.624183," ","integrate((a+b*arcsinh(c*x))^2*(f-I*c*f*x)^(1/2)/(d+I*c*d*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b^{2} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 2 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2}}{c^{2} d^{2} x^{2} - 2 i \, c d^{2} x - d^{2}}, x\right)"," ",0,"integral(-(sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b^2*log(c*x + sqrt(c^2*x^2 + 1))^2 + 2*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2)/(c^2*d^2*x^2 - 2*I*c*d^2*x - d^2), x)","F",0
575,0,0,0,0.770119," ","integrate((a+b*arcsinh(c*x))^2*(f-I*c*f*x)^(1/2)/(d+I*c*d*x)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(b^{2} c x + i \, b^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} - {\left(3 \, c^{3} d^{3} x^{2} - 6 i \, c^{2} d^{3} x - 3 \, c d^{3}\right)} {\rm integral}\left(\frac{3 i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2} + {\left(2 \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b^{2} + 6 i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)}{3 \, c^{3} d^{3} x^{3} - 9 i \, c^{2} d^{3} x^{2} - 9 \, c d^{3} x + 3 i \, d^{3}}, x\right)}{3 \, c^{3} d^{3} x^{2} - 6 i \, c^{2} d^{3} x - 3 \, c d^{3}}"," ",0,"-((b^2*c*x + I*b^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 - (3*c^3*d^3*x^2 - 6*I*c^2*d^3*x - 3*c*d^3)*integral((3*I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2 + (2*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b^2 + 6*I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b)*log(c*x + sqrt(c^2*x^2 + 1)))/(3*c^3*d^3*x^3 - 9*I*c^2*d^3*x^2 - 9*c*d^3*x + 3*I*d^3), x))/(3*c^3*d^3*x^2 - 6*I*c^2*d^3*x - 3*c*d^3)","F",0
576,0,0,0,0.676064," ","integrate((d+I*c*d*x)^(5/2)*(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(i \, b^{2} c^{3} d^{2} f x^{3} + b^{2} c^{2} d^{2} f x^{2} + i \, b^{2} c d^{2} f x + b^{2} d^{2} f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(2 i \, a b c^{3} d^{2} f x^{3} + 2 \, a b c^{2} d^{2} f x^{2} + 2 i \, a b c d^{2} f x + 2 \, a b d^{2} f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(i \, a^{2} c^{3} d^{2} f x^{3} + a^{2} c^{2} d^{2} f x^{2} + i \, a^{2} c d^{2} f x + a^{2} d^{2} f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral((I*b^2*c^3*d^2*f*x^3 + b^2*c^2*d^2*f*x^2 + I*b^2*c*d^2*f*x + b^2*d^2*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (2*I*a*b*c^3*d^2*f*x^3 + 2*a*b*c^2*d^2*f*x^2 + 2*I*a*b*c*d^2*f*x + 2*a*b*d^2*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (I*a^2*c^3*d^2*f*x^3 + a^2*c^2*d^2*f*x^2 + I*a^2*c*d^2*f*x + a^2*d^2*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
577,0,0,0,0.528463," ","integrate((d+I*c*d*x)^(3/2)*(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} c^{2} d f x^{2} + b^{2} d f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 2 \, {\left(a b c^{2} d f x^{2} + a b d f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a^{2} c^{2} d f x^{2} + a^{2} d f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral((b^2*c^2*d*f*x^2 + b^2*d*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 2*(a*b*c^2*d*f*x^2 + a*b*d*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a^2*c^2*d*f*x^2 + a^2*d*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
578,0,0,0,0.523875," ","integrate((f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))^2*(d+I*c*d*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(-i \, b^{2} c f x + b^{2} f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(-2 i \, a b c f x + 2 \, a b f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(-i \, a^{2} c f x + a^{2} f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral((-I*b^2*c*f*x + b^2*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (-2*I*a*b*c*f*x + 2*a*b*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (-I*a^2*c*f*x + a^2*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
579,0,0,0,0.521692," ","integrate((f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b^{2} c f x + i \, b^{2} f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 2 \, {\left(a b c f x + i \, a b f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a^{2} c f x + i \, a^{2} f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c d x - i \, d}, x\right)"," ",0,"integral(-((b^2*c*f*x + I*b^2*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 2*(a*b*c*f*x + I*a*b*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a^2*c*f*x + I*a^2*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c*d*x - I*d), x)","F",0
580,0,0,0,0.551259," ","integrate((f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(i \, b^{2} c f x - b^{2} f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(2 i \, a b c f x - 2 \, a b f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(i \, a^{2} c f x - a^{2} f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{2} d^{2} x^{2} - 2 i \, c d^{2} x - d^{2}}, x\right)"," ",0,"integral(((I*b^2*c*f*x - b^2*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (2*I*a*b*c*f*x - 2*a*b*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (I*a^2*c*f*x - a^2*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^2*d^2*x^2 - 2*I*c*d^2*x - d^2), x)","F",0
581,0,0,0,0.747884," ","integrate((f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} c f x + i \, b^{2} f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 2 \, {\left(a b c f x + i \, a b f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a^{2} c f x + i \, a^{2} f\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{3} d^{3} x^{3} - 3 i \, c^{2} d^{3} x^{2} - 3 \, c d^{3} x + i \, d^{3}}, x\right)"," ",0,"integral(((b^2*c*f*x + I*b^2*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 2*(a*b*c*f*x + I*a*b*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a^2*c*f*x + I*a^2*f)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^3*d^3*x^3 - 3*I*c^2*d^3*x^2 - 3*c*d^3*x + I*d^3), x)","F",0
582,0,0,0,0.583417," ","integrate((d+I*c*d*x)^(5/2)*(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} c^{4} d^{2} f^{2} x^{4} + 2 \, b^{2} c^{2} d^{2} f^{2} x^{2} + b^{2} d^{2} f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 2 \, {\left(a b c^{4} d^{2} f^{2} x^{4} + 2 \, a b c^{2} d^{2} f^{2} x^{2} + a b d^{2} f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a^{2} c^{4} d^{2} f^{2} x^{4} + 2 \, a^{2} c^{2} d^{2} f^{2} x^{2} + a^{2} d^{2} f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral((b^2*c^4*d^2*f^2*x^4 + 2*b^2*c^2*d^2*f^2*x^2 + b^2*d^2*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 2*(a*b*c^4*d^2*f^2*x^4 + 2*a*b*c^2*d^2*f^2*x^2 + a*b*d^2*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a^2*c^4*d^2*f^2*x^4 + 2*a^2*c^2*d^2*f^2*x^2 + a^2*d^2*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
583,0,0,0,0.644079," ","integrate((d+I*c*d*x)^(3/2)*(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(-i \, b^{2} c^{3} d f^{2} x^{3} + b^{2} c^{2} d f^{2} x^{2} - i \, b^{2} c d f^{2} x + b^{2} d f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(-2 i \, a b c^{3} d f^{2} x^{3} + 2 \, a b c^{2} d f^{2} x^{2} - 2 i \, a b c d f^{2} x + 2 \, a b d f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(-i \, a^{2} c^{3} d f^{2} x^{3} + a^{2} c^{2} d f^{2} x^{2} - i \, a^{2} c d f^{2} x + a^{2} d f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral((-I*b^2*c^3*d*f^2*x^3 + b^2*c^2*d*f^2*x^2 - I*b^2*c*d*f^2*x + b^2*d*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (-2*I*a*b*c^3*d*f^2*x^3 + 2*a*b*c^2*d*f^2*x^2 - 2*I*a*b*c*d*f^2*x + 2*a*b*d*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (-I*a^2*c^3*d*f^2*x^3 + a^2*c^2*d*f^2*x^2 - I*a^2*c*d*f^2*x + a^2*d*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
584,0,0,0,0.547436," ","integrate((f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))^2*(d+I*c*d*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(b^{2} c^{2} f^{2} x^{2} + 2 i \, b^{2} c f^{2} x - b^{2} f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} - {\left(2 \, a b c^{2} f^{2} x^{2} + 4 i \, a b c f^{2} x - 2 \, a b f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) - {\left(a^{2} c^{2} f^{2} x^{2} + 2 i \, a^{2} c f^{2} x - a^{2} f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}, x\right)"," ",0,"integral(-(b^2*c^2*f^2*x^2 + 2*I*b^2*c*f^2*x - b^2*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 - (2*a*b*c^2*f^2*x^2 + 4*I*a*b*c*f^2*x - 2*a*b*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) - (a^2*c^2*f^2*x^2 + 2*I*a^2*c*f^2*x - a^2*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f), x)","F",0
585,0,0,0,0.563250," ","integrate((f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(i \, b^{2} c^{2} f^{2} x^{2} - 2 \, b^{2} c f^{2} x - i \, b^{2} f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(2 i \, a b c^{2} f^{2} x^{2} - 4 \, a b c f^{2} x - 2 i \, a b f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(i \, a^{2} c^{2} f^{2} x^{2} - 2 \, a^{2} c f^{2} x - i \, a^{2} f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c d x - i \, d}, x\right)"," ",0,"integral(((I*b^2*c^2*f^2*x^2 - 2*b^2*c*f^2*x - I*b^2*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (2*I*a*b*c^2*f^2*x^2 - 4*a*b*c*f^2*x - 2*I*a*b*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (I*a^2*c^2*f^2*x^2 - 2*a^2*c*f^2*x - I*a^2*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c*d*x - I*d), x)","F",0
586,0,0,0,0.733561," ","integrate((f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} c^{2} f^{2} x^{2} + 2 i \, b^{2} c f^{2} x - b^{2} f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(2 \, a b c^{2} f^{2} x^{2} + 4 i \, a b c f^{2} x - 2 \, a b f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a^{2} c^{2} f^{2} x^{2} + 2 i \, a^{2} c f^{2} x - a^{2} f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{2} d^{2} x^{2} - 2 i \, c d^{2} x - d^{2}}, x\right)"," ",0,"integral(((b^2*c^2*f^2*x^2 + 2*I*b^2*c*f^2*x - b^2*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (2*a*b*c^2*f^2*x^2 + 4*I*a*b*c*f^2*x - 2*a*b*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a^2*c^2*f^2*x^2 + 2*I*a^2*c*f^2*x - a^2*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^2*d^2*x^2 - 2*I*c*d^2*x - d^2), x)","F",0
587,0,0,0,0.682828," ","integrate((f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-i \, b^{2} c^{2} f^{2} x^{2} + 2 \, b^{2} c f^{2} x + i \, b^{2} f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(-2 i \, a b c^{2} f^{2} x^{2} + 4 \, a b c f^{2} x + 2 i \, a b f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(-i \, a^{2} c^{2} f^{2} x^{2} + 2 \, a^{2} c f^{2} x + i \, a^{2} f^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{3} d^{3} x^{3} - 3 i \, c^{2} d^{3} x^{2} - 3 \, c d^{3} x + i \, d^{3}}, x\right)"," ",0,"integral(((-I*b^2*c^2*f^2*x^2 + 2*b^2*c*f^2*x + I*b^2*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (-2*I*a*b*c^2*f^2*x^2 + 4*a*b*c*f^2*x + 2*I*a*b*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (-I*a^2*c^2*f^2*x^2 + 2*a^2*c*f^2*x + I*a^2*f^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^3*d^3*x^3 - 3*I*c^2*d^3*x^2 - 3*c*d^3*x + I*d^3), x)","F",0
588,0,0,0,0.659286," ","integrate((d+I*c*d*x)^(5/2)*(a+b*arcsinh(c*x))^2/(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-i \, b^{2} c^{2} d^{2} x^{2} - 2 \, b^{2} c d^{2} x + i \, b^{2} d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(-2 i \, a b c^{2} d^{2} x^{2} - 4 \, a b c d^{2} x + 2 i \, a b d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(-i \, a^{2} c^{2} d^{2} x^{2} - 2 \, a^{2} c d^{2} x + i \, a^{2} d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c f x + i \, f}, x\right)"," ",0,"integral(((-I*b^2*c^2*d^2*x^2 - 2*b^2*c*d^2*x + I*b^2*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (-2*I*a*b*c^2*d^2*x^2 - 4*a*b*c*d^2*x + 2*I*a*b*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (-I*a^2*c^2*d^2*x^2 - 2*a^2*c*d^2*x + I*a^2*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c*f*x + I*f), x)","F",0
589,0,0,0,0.563844," ","integrate((d+I*c*d*x)^(3/2)*(a+b*arcsinh(c*x))^2/(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b^{2} c d x - i \, b^{2} d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 2 \, {\left(a b c d x - i \, a b d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a^{2} c d x - i \, a^{2} d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c f x + i \, f}, x\right)"," ",0,"integral(-((b^2*c*d*x - I*b^2*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 2*(a*b*c*d*x - I*a*b*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a^2*c*d*x - I*a^2*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c*f*x + I*f), x)","F",0
590,0,0,0,0.670922," ","integrate((a+b*arcsinh(c*x))^2*(d+I*c*d*x)^(1/2)/(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b^{2} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 2 i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2}}{c f x + i \, f}, x\right)"," ",0,"integral((I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b^2*log(c*x + sqrt(c^2*x^2 + 1))^2 + 2*I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b*log(c*x + sqrt(c^2*x^2 + 1)) + I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2)/(c*f*x + I*f), x)","F",0
591,0,0,0,0.542675," ","integrate((a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(1/2)/(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b^{2} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 2 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2}}{c^{2} d f x^{2} + d f}, x\right)"," ",0,"integral((sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b^2*log(c*x + sqrt(c^2*x^2 + 1))^2 + 2*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2)/(c^2*d*f*x^2 + d*f), x)","F",0
592,0,0,0,0.676335," ","integrate((a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b^{2} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(c^{2} d^{2} f x - i \, c d^{2} f\right)} {\rm integral}\left(\frac{-i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2} - {\left(2 \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b^{2} + 2 i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)}{c^{3} d^{2} f x^{3} - i \, c^{2} d^{2} f x^{2} + c d^{2} f x - i \, d^{2} f}, x\right)}{c^{2} d^{2} f x - i \, c d^{2} f}"," ",0,"(sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b^2*log(c*x + sqrt(c^2*x^2 + 1))^2 + (c^2*d^2*f*x - I*c*d^2*f)*integral((-I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2 - (2*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b^2 + 2*I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b)*log(c*x + sqrt(c^2*x^2 + 1)))/(c^3*d^2*f*x^3 - I*c^2*d^2*f*x^2 + c*d^2*f*x - I*d^2*f), x))/(c^2*d^2*f*x - I*c*d^2*f)","F",0
593,0,0,0,0.570938," ","integrate((a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(1/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} c x - 2 i \, b^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(3 \, c^{3} d^{3} f x^{2} - 6 i \, c^{2} d^{3} f x - 3 \, c d^{3} f\right)} {\rm integral}\left(-\frac{3 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2} + {\left(6 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b + {\left(2 \, b^{2} c x - 4 i \, b^{2}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)}{3 \, c^{4} d^{3} f x^{4} - 6 i \, c^{3} d^{3} f x^{3} - 6 i \, c d^{3} f x - 3 \, d^{3} f}, x\right)}{3 \, c^{3} d^{3} f x^{2} - 6 i \, c^{2} d^{3} f x - 3 \, c d^{3} f}"," ",0,"((b^2*c*x - 2*I*b^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (3*c^3*d^3*f*x^2 - 6*I*c^2*d^3*f*x - 3*c*d^3*f)*integral(-(3*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2 + (6*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b + (2*b^2*c*x - 4*I*b^2)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))*log(c*x + sqrt(c^2*x^2 + 1)))/(3*c^4*d^3*f*x^4 - 6*I*c^3*d^3*f*x^3 - 6*I*c*d^3*f*x - 3*d^3*f), x))/(3*c^3*d^3*f*x^2 - 6*I*c^2*d^3*f*x - 3*c*d^3*f)","F",0
594,0,0,0,0.520390," ","integrate((d+I*c*d*x)^(5/2)*(a+b*arcsinh(c*x))^2/(f-I*c*f*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} c^{2} d^{2} x^{2} - 2 i \, b^{2} c d^{2} x - b^{2} d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(2 \, a b c^{2} d^{2} x^{2} - 4 i \, a b c d^{2} x - 2 \, a b d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a^{2} c^{2} d^{2} x^{2} - 2 i \, a^{2} c d^{2} x - a^{2} d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{2} f^{2} x^{2} + 2 i \, c f^{2} x - f^{2}}, x\right)"," ",0,"integral(((b^2*c^2*d^2*x^2 - 2*I*b^2*c*d^2*x - b^2*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (2*a*b*c^2*d^2*x^2 - 4*I*a*b*c*d^2*x - 2*a*b*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a^2*c^2*d^2*x^2 - 2*I*a^2*c*d^2*x - a^2*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^2*f^2*x^2 + 2*I*c*f^2*x - f^2), x)","F",0
595,0,0,0,0.494289," ","integrate((d+I*c*d*x)^(3/2)*(a+b*arcsinh(c*x))^2/(f-I*c*f*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-i \, b^{2} c d x - b^{2} d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(-2 i \, a b c d x - 2 \, a b d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(-i \, a^{2} c d x - a^{2} d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{2} f^{2} x^{2} + 2 i \, c f^{2} x - f^{2}}, x\right)"," ",0,"integral(((-I*b^2*c*d*x - b^2*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (-2*I*a*b*c*d*x - 2*a*b*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (-I*a^2*c*d*x - a^2*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^2*f^2*x^2 + 2*I*c*f^2*x - f^2), x)","F",0
596,0,0,0,0.680784," ","integrate((a+b*arcsinh(c*x))^2*(d+I*c*d*x)^(1/2)/(f-I*c*f*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b^{2} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 2 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2}}{c^{2} f^{2} x^{2} + 2 i \, c f^{2} x - f^{2}}, x\right)"," ",0,"integral(-(sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b^2*log(c*x + sqrt(c^2*x^2 + 1))^2 + 2*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b*log(c*x + sqrt(c^2*x^2 + 1)) + sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2)/(c^2*f^2*x^2 + 2*I*c*f^2*x - f^2), x)","F",0
597,0,0,0,0.470035," ","integrate((a+b*arcsinh(c*x))^2/(f-I*c*f*x)^(3/2)/(d+I*c*d*x)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b^{2} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(c^{2} d f^{2} x + i \, c d f^{2}\right)} {\rm integral}\left(\frac{i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2} - {\left(2 \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b^{2} - 2 i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)}{c^{3} d f^{2} x^{3} + i \, c^{2} d f^{2} x^{2} + c d f^{2} x + i \, d f^{2}}, x\right)}{c^{2} d f^{2} x + i \, c d f^{2}}"," ",0,"(sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b^2*log(c*x + sqrt(c^2*x^2 + 1))^2 + (c^2*d*f^2*x + I*c*d*f^2)*integral((I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2 - (2*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b^2 - 2*I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b)*log(c*x + sqrt(c^2*x^2 + 1)))/(c^3*d*f^2*x^3 + I*c^2*d*f^2*x^2 + c*d*f^2*x + I*d*f^2), x))/(c^2*d*f^2*x + I*c*d*f^2)","F",0
598,0,0,0,0.520941," ","integrate((a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b^{2} x \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(c^{2} d^{2} f^{2} x^{2} + d^{2} f^{2}\right)} {\rm integral}\left(\frac{\sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2} - 2 \, {\left(\sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b^{2} c x - \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)}{c^{4} d^{2} f^{2} x^{4} + 2 \, c^{2} d^{2} f^{2} x^{2} + d^{2} f^{2}}, x\right)}{c^{2} d^{2} f^{2} x^{2} + d^{2} f^{2}}"," ",0,"(sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b^2*x*log(c*x + sqrt(c^2*x^2 + 1))^2 + (c^2*d^2*f^2*x^2 + d^2*f^2)*integral((sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2 - 2*(sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b^2*c*x - sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b)*log(c*x + sqrt(c^2*x^2 + 1)))/(c^4*d^2*f^2*x^4 + 2*c^2*d^2*f^2*x^2 + d^2*f^2), x))/(c^2*d^2*f^2*x^2 + d^2*f^2)","F",0
599,0,0,0,0.521024," ","integrate((a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(3/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} c^{2} x^{2} - 2 i \, b^{2} c x + b^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(3 \, c^{4} d^{3} f^{2} x^{3} - 3 i \, c^{3} d^{3} f^{2} x^{2} + 3 \, c^{2} d^{3} f^{2} x - 3 i \, c d^{3} f^{2}\right)} {\rm integral}\left(\frac{-3 i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2} + {\left(-6 i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b - {\left(4 \, b^{2} c^{2} x^{2} - 4 i \, b^{2} c x + 2 \, b^{2}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)}{3 \, c^{5} d^{3} f^{2} x^{5} - 3 i \, c^{4} d^{3} f^{2} x^{4} + 6 \, c^{3} d^{3} f^{2} x^{3} - 6 i \, c^{2} d^{3} f^{2} x^{2} + 3 \, c d^{3} f^{2} x - 3 i \, d^{3} f^{2}}, x\right)}{3 \, c^{4} d^{3} f^{2} x^{3} - 3 i \, c^{3} d^{3} f^{2} x^{2} + 3 \, c^{2} d^{3} f^{2} x - 3 i \, c d^{3} f^{2}}"," ",0,"((2*b^2*c^2*x^2 - 2*I*b^2*c*x + b^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (3*c^4*d^3*f^2*x^3 - 3*I*c^3*d^3*f^2*x^2 + 3*c^2*d^3*f^2*x - 3*I*c*d^3*f^2)*integral((-3*I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2 + (-6*I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b - (4*b^2*c^2*x^2 - 4*I*b^2*c*x + 2*b^2)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))*log(c*x + sqrt(c^2*x^2 + 1)))/(3*c^5*d^3*f^2*x^5 - 3*I*c^4*d^3*f^2*x^4 + 6*c^3*d^3*f^2*x^3 - 6*I*c^2*d^3*f^2*x^2 + 3*c*d^3*f^2*x - 3*I*d^3*f^2), x))/(3*c^4*d^3*f^2*x^3 - 3*I*c^3*d^3*f^2*x^2 + 3*c^2*d^3*f^2*x - 3*I*c*d^3*f^2)","F",0
600,0,0,0,0.816206," ","integrate((d+I*c*d*x)^(5/2)*(a+b*arcsinh(c*x))^2/(f-I*c*f*x)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(i \, b^{2} c^{2} d^{2} x^{2} + 2 \, b^{2} c d^{2} x - i \, b^{2} d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(2 i \, a b c^{2} d^{2} x^{2} + 4 \, a b c d^{2} x - 2 i \, a b d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(i \, a^{2} c^{2} d^{2} x^{2} + 2 \, a^{2} c d^{2} x - i \, a^{2} d^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{3} f^{3} x^{3} + 3 i \, c^{2} f^{3} x^{2} - 3 \, c f^{3} x - i \, f^{3}}, x\right)"," ",0,"integral(((I*b^2*c^2*d^2*x^2 + 2*b^2*c*d^2*x - I*b^2*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (2*I*a*b*c^2*d^2*x^2 + 4*a*b*c*d^2*x - 2*I*a*b*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (I*a^2*c^2*d^2*x^2 + 2*a^2*c*d^2*x - I*a^2*d^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^3*f^3*x^3 + 3*I*c^2*f^3*x^2 - 3*c*f^3*x - I*f^3), x)","F",0
601,0,0,0,0.615602," ","integrate((d+I*c*d*x)^(3/2)*(a+b*arcsinh(c*x))^2/(f-I*c*f*x)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} c d x - i \, b^{2} d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 2 \, {\left(a b c d x - i \, a b d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + {\left(a^{2} c d x - i \, a^{2} d\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}}{c^{3} f^{3} x^{3} + 3 i \, c^{2} f^{3} x^{2} - 3 \, c f^{3} x - i \, f^{3}}, x\right)"," ",0,"integral(((b^2*c*d*x - I*b^2*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 2*(a*b*c*d*x - I*a*b*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1)) + (a^2*c*d*x - I*a^2*d)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))/(c^3*f^3*x^3 + 3*I*c^2*f^3*x^2 - 3*c*f^3*x - I*f^3), x)","F",0
602,0,0,0,0.475348," ","integrate((a+b*arcsinh(c*x))^2*(d+I*c*d*x)^(1/2)/(f-I*c*f*x)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(b^{2} c x - i \, b^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} - {\left(3 \, c^{3} f^{3} x^{2} + 6 i \, c^{2} f^{3} x - 3 \, c f^{3}\right)} {\rm integral}\left(\frac{-3 i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2} + {\left(2 \, \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} b^{2} - 6 i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)}{3 \, c^{3} f^{3} x^{3} + 9 i \, c^{2} f^{3} x^{2} - 9 \, c f^{3} x - 3 i \, f^{3}}, x\right)}{3 \, c^{3} f^{3} x^{2} + 6 i \, c^{2} f^{3} x - 3 \, c f^{3}}"," ",0,"-((b^2*c*x - I*b^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 - (3*c^3*f^3*x^2 + 6*I*c^2*f^3*x - 3*c*f^3)*integral((-3*I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2 + (2*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*b^2 - 6*I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b)*log(c*x + sqrt(c^2*x^2 + 1)))/(3*c^3*f^3*x^3 + 9*I*c^2*f^3*x^2 - 9*c*f^3*x - 3*I*f^3), x))/(3*c^3*f^3*x^2 + 6*I*c^2*f^3*x - 3*c*f^3)","F",0
603,0,0,0,0.681333," ","integrate((a+b*arcsinh(c*x))^2/(f-I*c*f*x)^(5/2)/(d+I*c*d*x)^(1/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} c x + 2 i \, b^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(3 \, c^{3} d f^{3} x^{2} + 6 i \, c^{2} d f^{3} x - 3 \, c d f^{3}\right)} {\rm integral}\left(-\frac{3 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2} + {\left(6 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b + {\left(2 \, b^{2} c x + 4 i \, b^{2}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)}{3 \, c^{4} d f^{3} x^{4} + 6 i \, c^{3} d f^{3} x^{3} + 6 i \, c d f^{3} x - 3 \, d f^{3}}, x\right)}{3 \, c^{3} d f^{3} x^{2} + 6 i \, c^{2} d f^{3} x - 3 \, c d f^{3}}"," ",0,"((b^2*c*x + 2*I*b^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (3*c^3*d*f^3*x^2 + 6*I*c^2*d*f^3*x - 3*c*d*f^3)*integral(-(3*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2 + (6*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b + (2*b^2*c*x + 4*I*b^2)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))*log(c*x + sqrt(c^2*x^2 + 1)))/(3*c^4*d*f^3*x^4 + 6*I*c^3*d*f^3*x^3 + 6*I*c*d*f^3*x - 3*d*f^3), x))/(3*c^3*d*f^3*x^2 + 6*I*c^2*d*f^3*x - 3*c*d*f^3)","F",0
604,0,0,0,0.834613," ","integrate((a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(5/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} c^{2} x^{2} + 2 i \, b^{2} c x + b^{2}\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(3 \, c^{4} d^{2} f^{3} x^{3} + 3 i \, c^{3} d^{2} f^{3} x^{2} + 3 \, c^{2} d^{2} f^{3} x + 3 i \, c d^{2} f^{3}\right)} {\rm integral}\left(\frac{3 i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2} + {\left(6 i \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b - {\left(4 \, b^{2} c^{2} x^{2} + 4 i \, b^{2} c x + 2 \, b^{2}\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)}{3 \, c^{5} d^{2} f^{3} x^{5} + 3 i \, c^{4} d^{2} f^{3} x^{4} + 6 \, c^{3} d^{2} f^{3} x^{3} + 6 i \, c^{2} d^{2} f^{3} x^{2} + 3 \, c d^{2} f^{3} x + 3 i \, d^{2} f^{3}}, x\right)}{3 \, c^{4} d^{2} f^{3} x^{3} + 3 i \, c^{3} d^{2} f^{3} x^{2} + 3 \, c^{2} d^{2} f^{3} x + 3 i \, c d^{2} f^{3}}"," ",0,"((2*b^2*c^2*x^2 + 2*I*b^2*c*x + b^2)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + (3*c^4*d^2*f^3*x^3 + 3*I*c^3*d^2*f^3*x^2 + 3*c^2*d^2*f^3*x + 3*I*c*d^2*f^3)*integral((3*I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2 + (6*I*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b - (4*b^2*c^2*x^2 + 4*I*b^2*c*x + 2*b^2)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))*log(c*x + sqrt(c^2*x^2 + 1)))/(3*c^5*d^2*f^3*x^5 + 3*I*c^4*d^2*f^3*x^4 + 6*c^3*d^2*f^3*x^3 + 6*I*c^2*d^2*f^3*x^2 + 3*c*d^2*f^3*x + 3*I*d^2*f^3), x))/(3*c^4*d^2*f^3*x^3 + 3*I*c^3*d^2*f^3*x^2 + 3*c^2*d^2*f^3*x + 3*I*c*d^2*f^3)","F",0
605,0,0,0,0.697013," ","integrate((a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} c^{2} x^{3} + 3 \, b^{2} x\right)} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + 3 \, {\left(c^{4} d^{3} f^{3} x^{4} + 2 \, c^{2} d^{3} f^{3} x^{2} + d^{3} f^{3}\right)} {\rm integral}\left(\frac{3 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a^{2} + 2 \, {\left(3 \, \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f} a b - {\left(2 \, b^{2} c^{3} x^{3} + 3 \, b^{2} c x\right)} \sqrt{c^{2} x^{2} + 1} \sqrt{i \, c d x + d} \sqrt{-i \, c f x + f}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)}{3 \, {\left(c^{6} d^{3} f^{3} x^{6} + 3 \, c^{4} d^{3} f^{3} x^{4} + 3 \, c^{2} d^{3} f^{3} x^{2} + d^{3} f^{3}\right)}}, x\right)}{3 \, {\left(c^{4} d^{3} f^{3} x^{4} + 2 \, c^{2} d^{3} f^{3} x^{2} + d^{3} f^{3}\right)}}"," ",0,"1/3*((2*b^2*c^2*x^3 + 3*b^2*x)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*log(c*x + sqrt(c^2*x^2 + 1))^2 + 3*(c^4*d^3*f^3*x^4 + 2*c^2*d^3*f^3*x^2 + d^3*f^3)*integral(1/3*(3*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a^2 + 2*(3*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f)*a*b - (2*b^2*c^3*x^3 + 3*b^2*c*x)*sqrt(c^2*x^2 + 1)*sqrt(I*c*d*x + d)*sqrt(-I*c*f*x + f))*log(c*x + sqrt(c^2*x^2 + 1)))/(c^6*d^3*f^3*x^6 + 3*c^4*d^3*f^3*x^4 + 3*c^2*d^3*f^3*x^2 + d^3*f^3), x))/(c^4*d^3*f^3*x^4 + 2*c^2*d^3*f^3*x^2 + d^3*f^3)","F",0
606,1,333,0,0.612997," ","integrate((e*x^2+d)^4*(a+b*arcsinh(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
607,1,241,0,0.533793," ","integrate((e*x^2+d)^3*(a+b*arcsinh(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
608,1,163,0,0.631737," ","integrate((e*x^2+d)^2*(a+b*arcsinh(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
609,1,94,0,0.552503," ","integrate((e*x^2+d)*(a+b*arcsinh(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
610,1,43,0,0.504538," ","integrate(a+b*arcsinh(c*x),x, algorithm=""fricas"")","\frac{b c x \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + a c x - \sqrt{c^{2} x^{2} + 1} b}{c}"," ",0,"(b*c*x*log(c*x + sqrt(c^2*x^2 + 1)) + a*c*x - sqrt(c^2*x^2 + 1)*b)/c","A",0
611,0,0,0,0.572407," ","integrate((a+b*arcsinh(c*x))/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\left(c x\right) + a}{e x^{2} + d}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)/(e*x^2 + d), x)","F",0
612,0,0,0,0.903432," ","integrate((a+b*arcsinh(c*x))/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\left(c x\right) + a}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
613,1,586,0,0.567720," ","integrate((e*x^2+d)^3*(a+b*arcsinh(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
614,1,380,0,1.016240," ","integrate((e*x^2+d)^2*(a+b*arcsinh(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
615,1,209,0,0.971574," ","integrate((e*x^2+d)*(a+b*arcsinh(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
616,1,96,0,0.609226," ","integrate((a+b*arcsinh(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
617,0,0,0,0.570481," ","integrate((a+b*arcsinh(c*x))^2/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{e x^{2} + d}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(e*x^2 + d), x)","F",0
618,0,0,0,0.435352," ","integrate((e*x^2+d)^3/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral((e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3)/(b*arcsinh(c*x) + a), x)","F",0
619,0,0,0,0.653365," ","integrate((e*x^2+d)^2/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral((e^2*x^4 + 2*d*e*x^2 + d^2)/(b*arcsinh(c*x) + a), x)","F",0
620,0,0,0,0.546343," ","integrate((e*x^2+d)/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x^{2} + d}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral((e*x^2 + d)/(b*arcsinh(c*x) + a), x)","F",0
621,0,0,0,0.738982," ","integrate(1/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral(1/(b*arcsinh(c*x) + a), x)","F",0
622,0,0,0,1.044116," ","integrate(1/(e*x^2+d)/(a+b*arcsinh(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{arsinh}\left(c x\right)}, x\right)"," ",0,"integral(1/(a*e*x^2 + a*d + (b*e*x^2 + b*d)*arcsinh(c*x)), x)","F",0
623,0,0,0,0.460921," ","integrate(1/(e*x^2+d)^2/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x)), x)","F",0
624,0,0,0,0.603080," ","integrate((e*x^2+d)^2/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((e^2*x^4 + 2*d*e*x^2 + d^2)/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
625,0,0,0,0.523309," ","integrate((e*x^2+d)/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x^{2} + d}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((e*x^2 + d)/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
626,0,0,0,0.479987," ","integrate(1/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(1/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
627,0,0,0,0.534033," ","integrate(1/(e*x^2+d)/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b e x^{2} + a b d\right)} \operatorname{arsinh}\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)*arcsinh(c*x)^2 + 2*(a*b*e*x^2 + a*b*d)*arcsinh(c*x)), x)","F",0
628,0,0,0,0.492423," ","integrate(1/(e*x^2+d)^2/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(c*x)^2 + 2*(a*b*e^2*x^4 + 2*a*b*d*e*x^2 + a*b*d^2)*arcsinh(c*x)), x)","F",0
629,-2,0,0,0.000000," ","integrate((e*x^2+d)^2*(a+b*arcsinh(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
630,-2,0,0,0.000000," ","integrate((e*x^2+d)*(a+b*arcsinh(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
631,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
632,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
633,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
634,-2,0,0,0.000000," ","integrate((e*x^2+d)*(a+b*arcsinh(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
635,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
636,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
637,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
638,-2,0,0,0.000000," ","integrate((e*x^2+d)^2/(a+b*arcsinh(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
639,-2,0,0,0.000000," ","integrate((e*x^2+d)/(a+b*arcsinh(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
640,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(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
641,-2,0,0,0.000000," ","integrate(1/(e*x^2+d)/(a+b*arcsinh(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
642,-2,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(a+b*arcsinh(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
643,-2,0,0,0.000000," ","integrate((e*x^2+d)/(a+b*arcsinh(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
644,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(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
645,-2,0,0,0.000000," ","integrate(1/(e*x^2+d)/(a+b*arcsinh(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
646,-2,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(a+b*arcsinh(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
647,0,0,0,0.462128," ","integrate((a+b*arcsinh(c*x))*(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{e x^{2} + d} {\left(b \operatorname{arsinh}\left(c x\right) + a\right)}, x\right)"," ",0,"integral(sqrt(e*x^2 + d)*(b*arcsinh(c*x) + a), x)","F",0
648,0,0,0,0.421414," ","integrate((a+b*arcsinh(c*x))/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\left(c x\right) + a}{\sqrt{e x^{2} + d}}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)/sqrt(e*x^2 + d), x)","F",0
649,1,326,0,0.541583," ","integrate((a+b*arcsinh(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)]","B",0
650,1,738,0,0.824624," ","integrate((a+b*arcsinh(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
651,1,1354,0,0.847533," ","integrate((a+b*arcsinh(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
652,0,0,0,0.536249," ","integrate((a+b*arcsinh(c*x))^2*(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}\right)} \sqrt{e x^{2} + d}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)*sqrt(e*x^2 + d), x)","F",0
653,0,0,0,0.676839," ","integrate((a+b*arcsinh(c*x))^2/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{\sqrt{e x^{2} + d}}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/sqrt(e*x^2 + d), x)","F",0
654,0,0,0,0.596392," ","integrate((a+b*arcsinh(c*x))^2/(e*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)*sqrt(e*x^2 + d)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
655,0,0,0,0.752894," ","integrate((a+b*arcsinh(c*x))^2/(e*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(c*x)^2 + 2*a*b*arcsinh(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
656,0,0,0,0.494144," ","integrate((e*x^2+d)^(1/2)/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d}}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(e*x^2 + d)/(b*arcsinh(c*x) + a), x)","F",0
657,0,0,0,0.657152," ","integrate(1/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x)), x)","F",0
658,0,0,0,0.523620," ","integrate(1/(e*x^2+d)^(3/2)/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x)), x)","F",0
659,0,0,0,0.802562," ","integrate(1/(e*x^2+d)^(5/2)/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x)), x)","F",0
660,0,0,0,0.427851," ","integrate((e*x^2+d)^(1/2)/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d}}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(e*x^2 + d)/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
661,0,0,0,0.540633," ","integrate(1/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b e x^{2} + a b d\right)} \operatorname{arsinh}\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)*arcsinh(c*x)^2 + 2*(a*b*e*x^2 + a*b*d)*arcsinh(c*x)), x)","F",0
662,0,0,0,0.471127," ","integrate(1/(e*x^2+d)^(3/2)/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(c*x)^2 + 2*(a*b*e^2*x^4 + 2*a*b*d*e*x^2 + a*b*d^2)*arcsinh(c*x)), x)","F",0
663,0,0,0,0.498511," ","integrate(1/(e*x^2+d)^(5/2)/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(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)*arcsinh(c*x)), x)","F",0
