1,1,153,0,0.548444," ","integrate((e*x+d)^3*arccosh(c*x),x, algorithm=""fricas"")","\frac{3 \, {\left(8 \, c^{4} e^{3} x^{4} + 32 \, c^{4} d e^{2} x^{3} + 48 \, c^{4} d^{2} e x^{2} + 32 \, c^{4} d^{3} x - 24 \, c^{2} d^{2} e - 3 \, e^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(6 \, c^{3} e^{3} x^{3} + 32 \, c^{3} d e^{2} x^{2} + 96 \, c^{3} d^{3} + 64 \, c d e^{2} + 9 \, {\left(8 \, c^{3} d^{2} e + c e^{3}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{96 \, c^{4}}"," ",0,"1/96*(3*(8*c^4*e^3*x^4 + 32*c^4*d*e^2*x^3 + 48*c^4*d^2*e*x^2 + 32*c^4*d^3*x - 24*c^2*d^2*e - 3*e^3)*log(c*x + sqrt(c^2*x^2 - 1)) - (6*c^3*e^3*x^3 + 32*c^3*d*e^2*x^2 + 96*c^3*d^3 + 64*c*d*e^2 + 9*(8*c^3*d^2*e + c*e^3)*x)*sqrt(c^2*x^2 - 1))/c^4","A",0
2,1,106,0,0.529352," ","integrate((e*x+d)^2*arccosh(c*x),x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, c^{3} e^{2} x^{3} + 6 \, c^{3} d e x^{2} + 6 \, c^{3} d^{2} x - 3 \, c d e\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(2 \, c^{2} e^{2} x^{2} + 9 \, c^{2} d e x + 18 \, c^{2} d^{2} + 4 \, e^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{18 \, c^{3}}"," ",0,"1/18*(3*(2*c^3*e^2*x^3 + 6*c^3*d*e*x^2 + 6*c^3*d^2*x - 3*c*d*e)*log(c*x + sqrt(c^2*x^2 - 1)) - (2*c^2*e^2*x^2 + 9*c^2*d*e*x + 18*c^2*d^2 + 4*e^2)*sqrt(c^2*x^2 - 1))/c^3","A",0
3,1,65,0,0.494208," ","integrate((e*x+d)*arccosh(c*x),x, algorithm=""fricas"")","\frac{{\left(2 \, c^{2} e x^{2} + 4 \, c^{2} d x - e\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - \sqrt{c^{2} x^{2} - 1} {\left(c e x + 4 \, c d\right)}}{4 \, c^{2}}"," ",0,"1/4*((2*c^2*e*x^2 + 4*c^2*d*x - e)*log(c*x + sqrt(c^2*x^2 - 1)) - sqrt(c^2*x^2 - 1)*(c*e*x + 4*c*d))/c^2","A",0
4,0,0,0,0.689494," ","integrate(arccosh(c*x)/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arcosh}\left(c x\right)}{e x + d}, x\right)"," ",0,"integral(arccosh(c*x)/(e*x + d), x)","F",0
5,1,454,0,0.562293," ","integrate(arccosh(c*x)/(e*x+d)^2,x, algorithm=""fricas"")","\left[\frac{{\left(c^{2} d^{2} e - e^{3}\right)} x \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + \sqrt{c^{2} d^{2} - e^{2}} {\left(c d e x + c d^{2}\right)} \log\left(\frac{c^{3} d^{2} x + c d e + \sqrt{c^{2} d^{2} - e^{2}} {\left(c^{2} d x + e\right)} + {\left(c^{2} d^{2} + \sqrt{c^{2} d^{2} - e^{2}} c d - e^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{e x + d}\right) + {\left(c^{2} d^{3} - d e^{2} + {\left(c^{2} d^{2} e - e^{3}\right)} x\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right)}{c^{2} d^{4} e - d^{2} e^{3} + {\left(c^{2} d^{3} e^{2} - d e^{4}\right)} x}, \frac{{\left(c^{2} d^{2} e - e^{3}\right)} x \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 2 \, \sqrt{-c^{2} d^{2} + e^{2}} {\left(c d e x + c d^{2}\right)} \arctan\left(-\frac{\sqrt{-c^{2} d^{2} + e^{2}} \sqrt{c^{2} x^{2} - 1} e - \sqrt{-c^{2} d^{2} + e^{2}} {\left(c e x + c d\right)}}{c^{2} d^{2} - e^{2}}\right) + {\left(c^{2} d^{3} - d e^{2} + {\left(c^{2} d^{2} e - e^{3}\right)} x\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right)}{c^{2} d^{4} e - d^{2} e^{3} + {\left(c^{2} d^{3} e^{2} - d e^{4}\right)} x}\right]"," ",0,"[((c^2*d^2*e - e^3)*x*log(c*x + sqrt(c^2*x^2 - 1)) + sqrt(c^2*d^2 - e^2)*(c*d*e*x + c*d^2)*log((c^3*d^2*x + c*d*e + sqrt(c^2*d^2 - e^2)*(c^2*d*x + e) + (c^2*d^2 + sqrt(c^2*d^2 - e^2)*c*d - e^2)*sqrt(c^2*x^2 - 1))/(e*x + d)) + (c^2*d^3 - d*e^2 + (c^2*d^2*e - e^3)*x)*log(-c*x + sqrt(c^2*x^2 - 1)))/(c^2*d^4*e - d^2*e^3 + (c^2*d^3*e^2 - d*e^4)*x), ((c^2*d^2*e - e^3)*x*log(c*x + sqrt(c^2*x^2 - 1)) - 2*sqrt(-c^2*d^2 + e^2)*(c*d*e*x + c*d^2)*arctan(-(sqrt(-c^2*d^2 + e^2)*sqrt(c^2*x^2 - 1)*e - sqrt(-c^2*d^2 + e^2)*(c*e*x + c*d))/(c^2*d^2 - e^2)) + (c^2*d^3 - d*e^2 + (c^2*d^2*e - e^3)*x)*log(-c*x + sqrt(c^2*x^2 - 1)))/(c^2*d^4*e - d^2*e^3 + (c^2*d^3*e^2 - d*e^4)*x)]","B",0
6,1,1044,0,0.868670," ","integrate(arccosh(c*x)/(e*x+d)^3,x, algorithm=""fricas"")","\left[-\frac{c^{4} d^{6} - c^{2} d^{4} e^{2} + {\left(c^{4} d^{4} e^{2} - c^{2} d^{2} e^{4}\right)} x^{2} + {\left(c^{3} d^{3} e^{2} x^{2} + 2 \, c^{3} d^{4} e x + c^{3} d^{5}\right)} \sqrt{c^{2} d^{2} - e^{2}} \log\left(\frac{c^{3} d^{2} x + c d e - \sqrt{c^{2} d^{2} - e^{2}} {\left(c^{2} d x + e\right)} + {\left(c^{2} d^{2} - \sqrt{c^{2} d^{2} - e^{2}} c d - e^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{e x + d}\right) + 2 \, {\left(c^{4} d^{5} e - c^{2} d^{3} e^{3}\right)} x - {\left({\left(c^{4} d^{4} e^{2} - 2 \, c^{2} d^{2} e^{4} + e^{6}\right)} x^{2} + 2 \, {\left(c^{4} d^{5} e - 2 \, c^{2} d^{3} e^{3} + d e^{5}\right)} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(c^{4} d^{6} - 2 \, c^{2} d^{4} e^{2} + d^{2} e^{4} + {\left(c^{4} d^{4} e^{2} - 2 \, c^{2} d^{2} e^{4} + e^{6}\right)} x^{2} + 2 \, {\left(c^{4} d^{5} e - 2 \, c^{2} d^{3} e^{3} + d e^{5}\right)} x\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(c^{3} d^{5} e - c d^{3} e^{3} + {\left(c^{3} d^{4} e^{2} - c d^{2} e^{4}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{2 \, {\left(c^{4} d^{8} e - 2 \, c^{2} d^{6} e^{3} + d^{4} e^{5} + {\left(c^{4} d^{6} e^{3} - 2 \, c^{2} d^{4} e^{5} + d^{2} e^{7}\right)} x^{2} + 2 \, {\left(c^{4} d^{7} e^{2} - 2 \, c^{2} d^{5} e^{4} + d^{3} e^{6}\right)} x\right)}}, -\frac{c^{4} d^{6} - c^{2} d^{4} e^{2} + {\left(c^{4} d^{4} e^{2} - c^{2} d^{2} e^{4}\right)} x^{2} + 2 \, {\left(c^{3} d^{3} e^{2} x^{2} + 2 \, c^{3} d^{4} e x + c^{3} d^{5}\right)} \sqrt{-c^{2} d^{2} + e^{2}} \arctan\left(-\frac{\sqrt{-c^{2} d^{2} + e^{2}} \sqrt{c^{2} x^{2} - 1} e - \sqrt{-c^{2} d^{2} + e^{2}} {\left(c e x + c d\right)}}{c^{2} d^{2} - e^{2}}\right) + 2 \, {\left(c^{4} d^{5} e - c^{2} d^{3} e^{3}\right)} x - {\left({\left(c^{4} d^{4} e^{2} - 2 \, c^{2} d^{2} e^{4} + e^{6}\right)} x^{2} + 2 \, {\left(c^{4} d^{5} e - 2 \, c^{2} d^{3} e^{3} + d e^{5}\right)} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(c^{4} d^{6} - 2 \, c^{2} d^{4} e^{2} + d^{2} e^{4} + {\left(c^{4} d^{4} e^{2} - 2 \, c^{2} d^{2} e^{4} + e^{6}\right)} x^{2} + 2 \, {\left(c^{4} d^{5} e - 2 \, c^{2} d^{3} e^{3} + d e^{5}\right)} x\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(c^{3} d^{5} e - c d^{3} e^{3} + {\left(c^{3} d^{4} e^{2} - c d^{2} e^{4}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{2 \, {\left(c^{4} d^{8} e - 2 \, c^{2} d^{6} e^{3} + d^{4} e^{5} + {\left(c^{4} d^{6} e^{3} - 2 \, c^{2} d^{4} e^{5} + d^{2} e^{7}\right)} x^{2} + 2 \, {\left(c^{4} d^{7} e^{2} - 2 \, c^{2} d^{5} e^{4} + d^{3} e^{6}\right)} x\right)}}\right]"," ",0,"[-1/2*(c^4*d^6 - c^2*d^4*e^2 + (c^4*d^4*e^2 - c^2*d^2*e^4)*x^2 + (c^3*d^3*e^2*x^2 + 2*c^3*d^4*e*x + c^3*d^5)*sqrt(c^2*d^2 - e^2)*log((c^3*d^2*x + c*d*e - sqrt(c^2*d^2 - e^2)*(c^2*d*x + e) + (c^2*d^2 - sqrt(c^2*d^2 - e^2)*c*d - e^2)*sqrt(c^2*x^2 - 1))/(e*x + d)) + 2*(c^4*d^5*e - c^2*d^3*e^3)*x - ((c^4*d^4*e^2 - 2*c^2*d^2*e^4 + e^6)*x^2 + 2*(c^4*d^5*e - 2*c^2*d^3*e^3 + d*e^5)*x)*log(c*x + sqrt(c^2*x^2 - 1)) - (c^4*d^6 - 2*c^2*d^4*e^2 + d^2*e^4 + (c^4*d^4*e^2 - 2*c^2*d^2*e^4 + e^6)*x^2 + 2*(c^4*d^5*e - 2*c^2*d^3*e^3 + d*e^5)*x)*log(-c*x + sqrt(c^2*x^2 - 1)) + (c^3*d^5*e - c*d^3*e^3 + (c^3*d^4*e^2 - c*d^2*e^4)*x)*sqrt(c^2*x^2 - 1))/(c^4*d^8*e - 2*c^2*d^6*e^3 + d^4*e^5 + (c^4*d^6*e^3 - 2*c^2*d^4*e^5 + d^2*e^7)*x^2 + 2*(c^4*d^7*e^2 - 2*c^2*d^5*e^4 + d^3*e^6)*x), -1/2*(c^4*d^6 - c^2*d^4*e^2 + (c^4*d^4*e^2 - c^2*d^2*e^4)*x^2 + 2*(c^3*d^3*e^2*x^2 + 2*c^3*d^4*e*x + c^3*d^5)*sqrt(-c^2*d^2 + e^2)*arctan(-(sqrt(-c^2*d^2 + e^2)*sqrt(c^2*x^2 - 1)*e - sqrt(-c^2*d^2 + e^2)*(c*e*x + c*d))/(c^2*d^2 - e^2)) + 2*(c^4*d^5*e - c^2*d^3*e^3)*x - ((c^4*d^4*e^2 - 2*c^2*d^2*e^4 + e^6)*x^2 + 2*(c^4*d^5*e - 2*c^2*d^3*e^3 + d*e^5)*x)*log(c*x + sqrt(c^2*x^2 - 1)) - (c^4*d^6 - 2*c^2*d^4*e^2 + d^2*e^4 + (c^4*d^4*e^2 - 2*c^2*d^2*e^4 + e^6)*x^2 + 2*(c^4*d^5*e - 2*c^2*d^3*e^3 + d*e^5)*x)*log(-c*x + sqrt(c^2*x^2 - 1)) + (c^3*d^5*e - c*d^3*e^3 + (c^3*d^4*e^2 - c*d^2*e^4)*x)*sqrt(c^2*x^2 - 1))/(c^4*d^8*e - 2*c^2*d^6*e^3 + d^4*e^5 + (c^4*d^6*e^3 - 2*c^2*d^4*e^5 + d^2*e^7)*x^2 + 2*(c^4*d^7*e^2 - 2*c^2*d^5*e^4 + d^3*e^6)*x)]","B",0
7,1,1799,0,1.493737," ","integrate(arccosh(c*x)/(e*x+d)^4,x, algorithm=""fricas"")","\left[-\frac{3 \, c^{6} d^{9} - 3 \, c^{4} d^{7} e^{2} + 3 \, {\left(c^{6} d^{6} e^{3} - c^{4} d^{4} e^{5}\right)} x^{3} + 9 \, {\left(c^{6} d^{7} e^{2} - c^{4} d^{5} e^{4}\right)} x^{2} - {\left(2 \, c^{5} d^{8} + c^{3} d^{6} e^{2} + {\left(2 \, c^{5} d^{5} e^{3} + c^{3} d^{3} e^{5}\right)} x^{3} + 3 \, {\left(2 \, c^{5} d^{6} e^{2} + c^{3} d^{4} e^{4}\right)} x^{2} + 3 \, {\left(2 \, c^{5} d^{7} e + c^{3} d^{5} e^{3}\right)} x\right)} \sqrt{c^{2} d^{2} - e^{2}} \log\left(\frac{c^{3} d^{2} x + c d e + \sqrt{c^{2} d^{2} - e^{2}} {\left(c^{2} d x + e\right)} + {\left(c^{2} d^{2} + \sqrt{c^{2} d^{2} - e^{2}} c d - e^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{e x + d}\right) + 9 \, {\left(c^{6} d^{8} e - c^{4} d^{6} e^{3}\right)} x - 2 \, {\left({\left(c^{6} d^{6} e^{3} - 3 \, c^{4} d^{4} e^{5} + 3 \, c^{2} d^{2} e^{7} - e^{9}\right)} x^{3} + 3 \, {\left(c^{6} d^{7} e^{2} - 3 \, c^{4} d^{5} e^{4} + 3 \, c^{2} d^{3} e^{6} - d e^{8}\right)} x^{2} + 3 \, {\left(c^{6} d^{8} e - 3 \, c^{4} d^{6} e^{3} + 3 \, c^{2} d^{4} e^{5} - d^{2} e^{7}\right)} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 2 \, {\left(c^{6} d^{9} - 3 \, c^{4} d^{7} e^{2} + 3 \, c^{2} d^{5} e^{4} - d^{3} e^{6} + {\left(c^{6} d^{6} e^{3} - 3 \, c^{4} d^{4} e^{5} + 3 \, c^{2} d^{2} e^{7} - e^{9}\right)} x^{3} + 3 \, {\left(c^{6} d^{7} e^{2} - 3 \, c^{4} d^{5} e^{4} + 3 \, c^{2} d^{3} e^{6} - d e^{8}\right)} x^{2} + 3 \, {\left(c^{6} d^{8} e - 3 \, c^{4} d^{6} e^{3} + 3 \, c^{2} d^{4} e^{5} - d^{2} e^{7}\right)} x\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(4 \, c^{5} d^{8} e - 5 \, c^{3} d^{6} e^{3} + c d^{4} e^{5} + 3 \, {\left(c^{5} d^{6} e^{3} - c^{3} d^{4} e^{5}\right)} x^{2} + {\left(7 \, c^{5} d^{7} e^{2} - 8 \, c^{3} d^{5} e^{4} + c d^{3} e^{6}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{6 \, {\left(c^{6} d^{12} e - 3 \, c^{4} d^{10} e^{3} + 3 \, c^{2} d^{8} e^{5} - d^{6} e^{7} + {\left(c^{6} d^{9} e^{4} - 3 \, c^{4} d^{7} e^{6} + 3 \, c^{2} d^{5} e^{8} - d^{3} e^{10}\right)} x^{3} + 3 \, {\left(c^{6} d^{10} e^{3} - 3 \, c^{4} d^{8} e^{5} + 3 \, c^{2} d^{6} e^{7} - d^{4} e^{9}\right)} x^{2} + 3 \, {\left(c^{6} d^{11} e^{2} - 3 \, c^{4} d^{9} e^{4} + 3 \, c^{2} d^{7} e^{6} - d^{5} e^{8}\right)} x\right)}}, -\frac{3 \, c^{6} d^{9} - 3 \, c^{4} d^{7} e^{2} + 3 \, {\left(c^{6} d^{6} e^{3} - c^{4} d^{4} e^{5}\right)} x^{3} + 9 \, {\left(c^{6} d^{7} e^{2} - c^{4} d^{5} e^{4}\right)} x^{2} + 2 \, {\left(2 \, c^{5} d^{8} + c^{3} d^{6} e^{2} + {\left(2 \, c^{5} d^{5} e^{3} + c^{3} d^{3} e^{5}\right)} x^{3} + 3 \, {\left(2 \, c^{5} d^{6} e^{2} + c^{3} d^{4} e^{4}\right)} x^{2} + 3 \, {\left(2 \, c^{5} d^{7} e + c^{3} d^{5} e^{3}\right)} x\right)} \sqrt{-c^{2} d^{2} + e^{2}} \arctan\left(-\frac{\sqrt{-c^{2} d^{2} + e^{2}} \sqrt{c^{2} x^{2} - 1} e - \sqrt{-c^{2} d^{2} + e^{2}} {\left(c e x + c d\right)}}{c^{2} d^{2} - e^{2}}\right) + 9 \, {\left(c^{6} d^{8} e - c^{4} d^{6} e^{3}\right)} x - 2 \, {\left({\left(c^{6} d^{6} e^{3} - 3 \, c^{4} d^{4} e^{5} + 3 \, c^{2} d^{2} e^{7} - e^{9}\right)} x^{3} + 3 \, {\left(c^{6} d^{7} e^{2} - 3 \, c^{4} d^{5} e^{4} + 3 \, c^{2} d^{3} e^{6} - d e^{8}\right)} x^{2} + 3 \, {\left(c^{6} d^{8} e - 3 \, c^{4} d^{6} e^{3} + 3 \, c^{2} d^{4} e^{5} - d^{2} e^{7}\right)} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 2 \, {\left(c^{6} d^{9} - 3 \, c^{4} d^{7} e^{2} + 3 \, c^{2} d^{5} e^{4} - d^{3} e^{6} + {\left(c^{6} d^{6} e^{3} - 3 \, c^{4} d^{4} e^{5} + 3 \, c^{2} d^{2} e^{7} - e^{9}\right)} x^{3} + 3 \, {\left(c^{6} d^{7} e^{2} - 3 \, c^{4} d^{5} e^{4} + 3 \, c^{2} d^{3} e^{6} - d e^{8}\right)} x^{2} + 3 \, {\left(c^{6} d^{8} e - 3 \, c^{4} d^{6} e^{3} + 3 \, c^{2} d^{4} e^{5} - d^{2} e^{7}\right)} x\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(4 \, c^{5} d^{8} e - 5 \, c^{3} d^{6} e^{3} + c d^{4} e^{5} + 3 \, {\left(c^{5} d^{6} e^{3} - c^{3} d^{4} e^{5}\right)} x^{2} + {\left(7 \, c^{5} d^{7} e^{2} - 8 \, c^{3} d^{5} e^{4} + c d^{3} e^{6}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{6 \, {\left(c^{6} d^{12} e - 3 \, c^{4} d^{10} e^{3} + 3 \, c^{2} d^{8} e^{5} - d^{6} e^{7} + {\left(c^{6} d^{9} e^{4} - 3 \, c^{4} d^{7} e^{6} + 3 \, c^{2} d^{5} e^{8} - d^{3} e^{10}\right)} x^{3} + 3 \, {\left(c^{6} d^{10} e^{3} - 3 \, c^{4} d^{8} e^{5} + 3 \, c^{2} d^{6} e^{7} - d^{4} e^{9}\right)} x^{2} + 3 \, {\left(c^{6} d^{11} e^{2} - 3 \, c^{4} d^{9} e^{4} + 3 \, c^{2} d^{7} e^{6} - d^{5} e^{8}\right)} x\right)}}\right]"," ",0,"[-1/6*(3*c^6*d^9 - 3*c^4*d^7*e^2 + 3*(c^6*d^6*e^3 - c^4*d^4*e^5)*x^3 + 9*(c^6*d^7*e^2 - c^4*d^5*e^4)*x^2 - (2*c^5*d^8 + c^3*d^6*e^2 + (2*c^5*d^5*e^3 + c^3*d^3*e^5)*x^3 + 3*(2*c^5*d^6*e^2 + c^3*d^4*e^4)*x^2 + 3*(2*c^5*d^7*e + c^3*d^5*e^3)*x)*sqrt(c^2*d^2 - e^2)*log((c^3*d^2*x + c*d*e + sqrt(c^2*d^2 - e^2)*(c^2*d*x + e) + (c^2*d^2 + sqrt(c^2*d^2 - e^2)*c*d - e^2)*sqrt(c^2*x^2 - 1))/(e*x + d)) + 9*(c^6*d^8*e - c^4*d^6*e^3)*x - 2*((c^6*d^6*e^3 - 3*c^4*d^4*e^5 + 3*c^2*d^2*e^7 - e^9)*x^3 + 3*(c^6*d^7*e^2 - 3*c^4*d^5*e^4 + 3*c^2*d^3*e^6 - d*e^8)*x^2 + 3*(c^6*d^8*e - 3*c^4*d^6*e^3 + 3*c^2*d^4*e^5 - d^2*e^7)*x)*log(c*x + sqrt(c^2*x^2 - 1)) - 2*(c^6*d^9 - 3*c^4*d^7*e^2 + 3*c^2*d^5*e^4 - d^3*e^6 + (c^6*d^6*e^3 - 3*c^4*d^4*e^5 + 3*c^2*d^2*e^7 - e^9)*x^3 + 3*(c^6*d^7*e^2 - 3*c^4*d^5*e^4 + 3*c^2*d^3*e^6 - d*e^8)*x^2 + 3*(c^6*d^8*e - 3*c^4*d^6*e^3 + 3*c^2*d^4*e^5 - d^2*e^7)*x)*log(-c*x + sqrt(c^2*x^2 - 1)) + (4*c^5*d^8*e - 5*c^3*d^6*e^3 + c*d^4*e^5 + 3*(c^5*d^6*e^3 - c^3*d^4*e^5)*x^2 + (7*c^5*d^7*e^2 - 8*c^3*d^5*e^4 + c*d^3*e^6)*x)*sqrt(c^2*x^2 - 1))/(c^6*d^12*e - 3*c^4*d^10*e^3 + 3*c^2*d^8*e^5 - d^6*e^7 + (c^6*d^9*e^4 - 3*c^4*d^7*e^6 + 3*c^2*d^5*e^8 - d^3*e^10)*x^3 + 3*(c^6*d^10*e^3 - 3*c^4*d^8*e^5 + 3*c^2*d^6*e^7 - d^4*e^9)*x^2 + 3*(c^6*d^11*e^2 - 3*c^4*d^9*e^4 + 3*c^2*d^7*e^6 - d^5*e^8)*x), -1/6*(3*c^6*d^9 - 3*c^4*d^7*e^2 + 3*(c^6*d^6*e^3 - c^4*d^4*e^5)*x^3 + 9*(c^6*d^7*e^2 - c^4*d^5*e^4)*x^2 + 2*(2*c^5*d^8 + c^3*d^6*e^2 + (2*c^5*d^5*e^3 + c^3*d^3*e^5)*x^3 + 3*(2*c^5*d^6*e^2 + c^3*d^4*e^4)*x^2 + 3*(2*c^5*d^7*e + c^3*d^5*e^3)*x)*sqrt(-c^2*d^2 + e^2)*arctan(-(sqrt(-c^2*d^2 + e^2)*sqrt(c^2*x^2 - 1)*e - sqrt(-c^2*d^2 + e^2)*(c*e*x + c*d))/(c^2*d^2 - e^2)) + 9*(c^6*d^8*e - c^4*d^6*e^3)*x - 2*((c^6*d^6*e^3 - 3*c^4*d^4*e^5 + 3*c^2*d^2*e^7 - e^9)*x^3 + 3*(c^6*d^7*e^2 - 3*c^4*d^5*e^4 + 3*c^2*d^3*e^6 - d*e^8)*x^2 + 3*(c^6*d^8*e - 3*c^4*d^6*e^3 + 3*c^2*d^4*e^5 - d^2*e^7)*x)*log(c*x + sqrt(c^2*x^2 - 1)) - 2*(c^6*d^9 - 3*c^4*d^7*e^2 + 3*c^2*d^5*e^4 - d^3*e^6 + (c^6*d^6*e^3 - 3*c^4*d^4*e^5 + 3*c^2*d^2*e^7 - e^9)*x^3 + 3*(c^6*d^7*e^2 - 3*c^4*d^5*e^4 + 3*c^2*d^3*e^6 - d*e^8)*x^2 + 3*(c^6*d^8*e - 3*c^4*d^6*e^3 + 3*c^2*d^4*e^5 - d^2*e^7)*x)*log(-c*x + sqrt(c^2*x^2 - 1)) + (4*c^5*d^8*e - 5*c^3*d^6*e^3 + c*d^4*e^5 + 3*(c^5*d^6*e^3 - c^3*d^4*e^5)*x^2 + (7*c^5*d^7*e^2 - 8*c^3*d^5*e^4 + c*d^3*e^6)*x)*sqrt(c^2*x^2 - 1))/(c^6*d^12*e - 3*c^4*d^10*e^3 + 3*c^2*d^8*e^5 - d^6*e^7 + (c^6*d^9*e^4 - 3*c^4*d^7*e^6 + 3*c^2*d^5*e^8 - d^3*e^10)*x^3 + 3*(c^6*d^10*e^3 - 3*c^4*d^8*e^5 + 3*c^2*d^6*e^7 - d^4*e^9)*x^2 + 3*(c^6*d^11*e^2 - 3*c^4*d^9*e^4 + 3*c^2*d^7*e^6 - d^5*e^8)*x)]","B",0
8,1,237,0,0.739656," ","integrate((e*x+d)^3*arccosh(c*x)^2,x, algorithm=""fricas"")","\frac{9 \, c^{4} e^{3} x^{4} + 64 \, c^{4} d e^{2} x^{3} + 27 \, {\left(8 \, c^{4} d^{2} e + c^{2} e^{3}\right)} x^{2} + 9 \, {\left(8 \, c^{4} e^{3} x^{4} + 32 \, c^{4} d e^{2} x^{3} + 48 \, c^{4} d^{2} e x^{2} + 32 \, c^{4} d^{3} x - 24 \, c^{2} d^{2} e - 3 \, e^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} - 6 \, {\left(6 \, c^{3} e^{3} x^{3} + 32 \, c^{3} d e^{2} x^{2} + 96 \, c^{3} d^{3} + 64 \, c d e^{2} + 9 \, {\left(8 \, c^{3} d^{2} e + c e^{3}\right)} x\right)} \sqrt{c^{2} x^{2} - 1} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 192 \, {\left(3 \, c^{4} d^{3} + 2 \, c^{2} d e^{2}\right)} x}{288 \, c^{4}}"," ",0,"1/288*(9*c^4*e^3*x^4 + 64*c^4*d*e^2*x^3 + 27*(8*c^4*d^2*e + c^2*e^3)*x^2 + 9*(8*c^4*e^3*x^4 + 32*c^4*d*e^2*x^3 + 48*c^4*d^2*e*x^2 + 32*c^4*d^3*x - 24*c^2*d^2*e - 3*e^3)*log(c*x + sqrt(c^2*x^2 - 1))^2 - 6*(6*c^3*e^3*x^3 + 32*c^3*d*e^2*x^2 + 96*c^3*d^3 + 64*c*d*e^2 + 9*(8*c^3*d^2*e + c*e^3)*x)*sqrt(c^2*x^2 - 1)*log(c*x + sqrt(c^2*x^2 - 1)) + 192*(3*c^4*d^3 + 2*c^2*d*e^2)*x)/c^4","A",0
9,1,163,0,0.608642," ","integrate((e*x+d)^2*arccosh(c*x)^2,x, algorithm=""fricas"")","\frac{4 \, c^{3} e^{2} x^{3} + 27 \, c^{3} d e x^{2} + 9 \, {\left(2 \, c^{3} e^{2} x^{3} + 6 \, c^{3} d e x^{2} + 6 \, c^{3} d^{2} x - 3 \, c d e\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} - 6 \, {\left(2 \, c^{2} e^{2} x^{2} + 9 \, c^{2} d e x + 18 \, c^{2} d^{2} + 4 \, e^{2}\right)} \sqrt{c^{2} x^{2} - 1} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 12 \, {\left(9 \, c^{3} d^{2} + 2 \, c e^{2}\right)} x}{54 \, c^{3}}"," ",0,"1/54*(4*c^3*e^2*x^3 + 27*c^3*d*e*x^2 + 9*(2*c^3*e^2*x^3 + 6*c^3*d*e*x^2 + 6*c^3*d^2*x - 3*c*d*e)*log(c*x + sqrt(c^2*x^2 - 1))^2 - 6*(2*c^2*e^2*x^2 + 9*c^2*d*e*x + 18*c^2*d^2 + 4*e^2)*sqrt(c^2*x^2 - 1)*log(c*x + sqrt(c^2*x^2 - 1)) + 12*(9*c^3*d^2 + 2*c*e^2)*x)/c^3","A",0
10,1,98,0,0.615712," ","integrate((e*x+d)*arccosh(c*x)^2,x, algorithm=""fricas"")","\frac{c^{2} e x^{2} + 8 \, c^{2} d x + {\left(2 \, c^{2} e x^{2} + 4 \, c^{2} d x - e\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} - 2 \, \sqrt{c^{2} x^{2} - 1} {\left(c e x + 4 \, c d\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)}{4 \, c^{2}}"," ",0,"1/4*(c^2*e*x^2 + 8*c^2*d*x + (2*c^2*e*x^2 + 4*c^2*d*x - e)*log(c*x + sqrt(c^2*x^2 - 1))^2 - 2*sqrt(c^2*x^2 - 1)*(c*e*x + 4*c*d)*log(c*x + sqrt(c^2*x^2 - 1)))/c^2","A",0
11,0,0,0,0.616633," ","integrate(arccosh(c*x)^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arcosh}\left(c x\right)^{2}}{e x + d}, x\right)"," ",0,"integral(arccosh(c*x)^2/(e*x + d), x)","F",0
12,0,0,0,0.770168," ","integrate(arccosh(c*x)^2/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arcosh}\left(c x\right)^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral(arccosh(c*x)^2/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
13,0,0,0,0.646958," ","integrate(arccosh(c*x)^2/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arcosh}\left(c x\right)^{2}}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral(arccosh(c*x)^2/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
14,1,213,0,0.732243," ","integrate((e*x+d)^3*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{24 \, a c^{4} e^{3} x^{4} + 96 \, a c^{4} d e^{2} x^{3} + 144 \, a c^{4} d^{2} e x^{2} + 96 \, a c^{4} d^{3} x + 3 \, {\left(8 \, b c^{4} e^{3} x^{4} + 32 \, b c^{4} d e^{2} x^{3} + 48 \, b c^{4} d^{2} e x^{2} + 32 \, b c^{4} d^{3} x - 24 \, b c^{2} d^{2} e - 3 \, b e^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(6 \, b c^{3} e^{3} x^{3} + 32 \, b c^{3} d e^{2} x^{2} + 96 \, b c^{3} d^{3} + 64 \, b c d e^{2} + 9 \, {\left(8 \, b c^{3} d^{2} e + b c e^{3}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{96 \, c^{4}}"," ",0,"1/96*(24*a*c^4*e^3*x^4 + 96*a*c^4*d*e^2*x^3 + 144*a*c^4*d^2*e*x^2 + 96*a*c^4*d^3*x + 3*(8*b*c^4*e^3*x^4 + 32*b*c^4*d*e^2*x^3 + 48*b*c^4*d^2*e*x^2 + 32*b*c^4*d^3*x - 24*b*c^2*d^2*e - 3*b*e^3)*log(c*x + sqrt(c^2*x^2 - 1)) - (6*b*c^3*e^3*x^3 + 32*b*c^3*d*e^2*x^2 + 96*b*c^3*d^3 + 64*b*c*d*e^2 + 9*(8*b*c^3*d^2*e + b*c*e^3)*x)*sqrt(c^2*x^2 - 1))/c^4","A",0
15,1,147,0,0.622412," ","integrate((e*x+d)^2*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{6 \, a c^{3} e^{2} x^{3} + 18 \, a c^{3} d e x^{2} + 18 \, a c^{3} d^{2} x + 3 \, {\left(2 \, b c^{3} e^{2} x^{3} + 6 \, b c^{3} d e x^{2} + 6 \, b c^{3} d^{2} x - 3 \, b c d e\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(2 \, b c^{2} e^{2} x^{2} + 9 \, b c^{2} d e x + 18 \, b c^{2} d^{2} + 4 \, b e^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{18 \, c^{3}}"," ",0,"1/18*(6*a*c^3*e^2*x^3 + 18*a*c^3*d*e*x^2 + 18*a*c^3*d^2*x + 3*(2*b*c^3*e^2*x^3 + 6*b*c^3*d*e*x^2 + 6*b*c^3*d^2*x - 3*b*c*d*e)*log(c*x + sqrt(c^2*x^2 - 1)) - (2*b*c^2*e^2*x^2 + 9*b*c^2*d*e*x + 18*b*c^2*d^2 + 4*b*e^2)*sqrt(c^2*x^2 - 1))/c^3","A",0
16,1,88,0,0.638867," ","integrate((e*x+d)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","\frac{2 \, a c^{2} e x^{2} + 4 \, a c^{2} d x + {\left(2 \, b c^{2} e x^{2} + 4 \, b c^{2} d x - b e\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(b c e x + 4 \, b c d\right)} \sqrt{c^{2} x^{2} - 1}}{4 \, c^{2}}"," ",0,"1/4*(2*a*c^2*e*x^2 + 4*a*c^2*d*x + (2*b*c^2*e*x^2 + 4*b*c^2*d*x - b*e)*log(c*x + sqrt(c^2*x^2 - 1)) - (b*c*e*x + 4*b*c*d)*sqrt(c^2*x^2 - 1))/c^2","A",0
17,0,0,0,0.708090," ","integrate((a+b*arccosh(c*x))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(c x\right) + a}{e x + d}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)/(e*x + d), x)","F",0
18,1,507,0,0.820543," ","integrate((a+b*arccosh(c*x))/(e*x+d)^2,x, algorithm=""fricas"")","\left[-\frac{a c^{2} d^{3} - a d e^{2} - {\left(b c^{2} d^{2} e - b e^{3}\right)} x \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(b c d e x + b c d^{2}\right)} \sqrt{c^{2} d^{2} - e^{2}} \log\left(\frac{c^{3} d^{2} x + c d e + \sqrt{c^{2} d^{2} - e^{2}} {\left(c^{2} d x + e\right)} + {\left(c^{2} d^{2} + \sqrt{c^{2} d^{2} - e^{2}} c d - e^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{e x + d}\right) - {\left(b c^{2} d^{3} - b d e^{2} + {\left(b c^{2} d^{2} e - b e^{3}\right)} x\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right)}{c^{2} d^{4} e - d^{2} e^{3} + {\left(c^{2} d^{3} e^{2} - d e^{4}\right)} x}, -\frac{a c^{2} d^{3} - a d e^{2} - {\left(b c^{2} d^{2} e - b e^{3}\right)} x \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) + 2 \, {\left(b c d e x + b c d^{2}\right)} \sqrt{-c^{2} d^{2} + e^{2}} \arctan\left(-\frac{\sqrt{-c^{2} d^{2} + e^{2}} \sqrt{c^{2} x^{2} - 1} e - \sqrt{-c^{2} d^{2} + e^{2}} {\left(c e x + c d\right)}}{c^{2} d^{2} - e^{2}}\right) - {\left(b c^{2} d^{3} - b d e^{2} + {\left(b c^{2} d^{2} e - b e^{3}\right)} x\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right)}{c^{2} d^{4} e - d^{2} e^{3} + {\left(c^{2} d^{3} e^{2} - d e^{4}\right)} x}\right]"," ",0,"[-(a*c^2*d^3 - a*d*e^2 - (b*c^2*d^2*e - b*e^3)*x*log(c*x + sqrt(c^2*x^2 - 1)) - (b*c*d*e*x + b*c*d^2)*sqrt(c^2*d^2 - e^2)*log((c^3*d^2*x + c*d*e + sqrt(c^2*d^2 - e^2)*(c^2*d*x + e) + (c^2*d^2 + sqrt(c^2*d^2 - e^2)*c*d - e^2)*sqrt(c^2*x^2 - 1))/(e*x + d)) - (b*c^2*d^3 - b*d*e^2 + (b*c^2*d^2*e - b*e^3)*x)*log(-c*x + sqrt(c^2*x^2 - 1)))/(c^2*d^4*e - d^2*e^3 + (c^2*d^3*e^2 - d*e^4)*x), -(a*c^2*d^3 - a*d*e^2 - (b*c^2*d^2*e - b*e^3)*x*log(c*x + sqrt(c^2*x^2 - 1)) + 2*(b*c*d*e*x + b*c*d^2)*sqrt(-c^2*d^2 + e^2)*arctan(-(sqrt(-c^2*d^2 + e^2)*sqrt(c^2*x^2 - 1)*e - sqrt(-c^2*d^2 + e^2)*(c*e*x + c*d))/(c^2*d^2 - e^2)) - (b*c^2*d^3 - b*d*e^2 + (b*c^2*d^2*e - b*e^3)*x)*log(-c*x + sqrt(c^2*x^2 - 1)))/(c^2*d^4*e - d^2*e^3 + (c^2*d^3*e^2 - d*e^4)*x)]","B",0
19,1,1132,0,0.907898," ","integrate((a+b*arccosh(c*x))/(e*x+d)^3,x, algorithm=""fricas"")","\left[-\frac{{\left(a + b\right)} c^{4} d^{6} - {\left(2 \, a + b\right)} c^{2} d^{4} e^{2} + a d^{2} e^{4} + {\left(b c^{4} d^{4} e^{2} - b c^{2} d^{2} e^{4}\right)} x^{2} + {\left(b c^{3} d^{3} e^{2} x^{2} + 2 \, b c^{3} d^{4} e x + b c^{3} d^{5}\right)} \sqrt{c^{2} d^{2} - e^{2}} \log\left(\frac{c^{3} d^{2} x + c d e - \sqrt{c^{2} d^{2} - e^{2}} {\left(c^{2} d x + e\right)} + {\left(c^{2} d^{2} - \sqrt{c^{2} d^{2} - e^{2}} c d - e^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{e x + d}\right) + 2 \, {\left(b c^{4} d^{5} e - b c^{2} d^{3} e^{3}\right)} x - {\left({\left(b c^{4} d^{4} e^{2} - 2 \, b c^{2} d^{2} e^{4} + b e^{6}\right)} x^{2} + 2 \, {\left(b c^{4} d^{5} e - 2 \, b c^{2} d^{3} e^{3} + b d e^{5}\right)} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(b c^{4} d^{6} - 2 \, b c^{2} d^{4} e^{2} + b d^{2} e^{4} + {\left(b c^{4} d^{4} e^{2} - 2 \, b c^{2} d^{2} e^{4} + b e^{6}\right)} x^{2} + 2 \, {\left(b c^{4} d^{5} e - 2 \, b c^{2} d^{3} e^{3} + b d e^{5}\right)} x\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(b c^{3} d^{5} e - b c d^{3} e^{3} + {\left(b c^{3} d^{4} e^{2} - b c d^{2} e^{4}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{2 \, {\left(c^{4} d^{8} e - 2 \, c^{2} d^{6} e^{3} + d^{4} e^{5} + {\left(c^{4} d^{6} e^{3} - 2 \, c^{2} d^{4} e^{5} + d^{2} e^{7}\right)} x^{2} + 2 \, {\left(c^{4} d^{7} e^{2} - 2 \, c^{2} d^{5} e^{4} + d^{3} e^{6}\right)} x\right)}}, -\frac{{\left(a + b\right)} c^{4} d^{6} - {\left(2 \, a + b\right)} c^{2} d^{4} e^{2} + a d^{2} e^{4} + {\left(b c^{4} d^{4} e^{2} - b c^{2} d^{2} e^{4}\right)} x^{2} + 2 \, {\left(b c^{3} d^{3} e^{2} x^{2} + 2 \, b c^{3} d^{4} e x + b c^{3} d^{5}\right)} \sqrt{-c^{2} d^{2} + e^{2}} \arctan\left(-\frac{\sqrt{-c^{2} d^{2} + e^{2}} \sqrt{c^{2} x^{2} - 1} e - \sqrt{-c^{2} d^{2} + e^{2}} {\left(c e x + c d\right)}}{c^{2} d^{2} - e^{2}}\right) + 2 \, {\left(b c^{4} d^{5} e - b c^{2} d^{3} e^{3}\right)} x - {\left({\left(b c^{4} d^{4} e^{2} - 2 \, b c^{2} d^{2} e^{4} + b e^{6}\right)} x^{2} + 2 \, {\left(b c^{4} d^{5} e - 2 \, b c^{2} d^{3} e^{3} + b d e^{5}\right)} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - {\left(b c^{4} d^{6} - 2 \, b c^{2} d^{4} e^{2} + b d^{2} e^{4} + {\left(b c^{4} d^{4} e^{2} - 2 \, b c^{2} d^{2} e^{4} + b e^{6}\right)} x^{2} + 2 \, {\left(b c^{4} d^{5} e - 2 \, b c^{2} d^{3} e^{3} + b d e^{5}\right)} x\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(b c^{3} d^{5} e - b c d^{3} e^{3} + {\left(b c^{3} d^{4} e^{2} - b c d^{2} e^{4}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{2 \, {\left(c^{4} d^{8} e - 2 \, c^{2} d^{6} e^{3} + d^{4} e^{5} + {\left(c^{4} d^{6} e^{3} - 2 \, c^{2} d^{4} e^{5} + d^{2} e^{7}\right)} x^{2} + 2 \, {\left(c^{4} d^{7} e^{2} - 2 \, c^{2} d^{5} e^{4} + d^{3} e^{6}\right)} x\right)}}\right]"," ",0,"[-1/2*((a + b)*c^4*d^6 - (2*a + b)*c^2*d^4*e^2 + a*d^2*e^4 + (b*c^4*d^4*e^2 - b*c^2*d^2*e^4)*x^2 + (b*c^3*d^3*e^2*x^2 + 2*b*c^3*d^4*e*x + b*c^3*d^5)*sqrt(c^2*d^2 - e^2)*log((c^3*d^2*x + c*d*e - sqrt(c^2*d^2 - e^2)*(c^2*d*x + e) + (c^2*d^2 - sqrt(c^2*d^2 - e^2)*c*d - e^2)*sqrt(c^2*x^2 - 1))/(e*x + d)) + 2*(b*c^4*d^5*e - b*c^2*d^3*e^3)*x - ((b*c^4*d^4*e^2 - 2*b*c^2*d^2*e^4 + b*e^6)*x^2 + 2*(b*c^4*d^5*e - 2*b*c^2*d^3*e^3 + b*d*e^5)*x)*log(c*x + sqrt(c^2*x^2 - 1)) - (b*c^4*d^6 - 2*b*c^2*d^4*e^2 + b*d^2*e^4 + (b*c^4*d^4*e^2 - 2*b*c^2*d^2*e^4 + b*e^6)*x^2 + 2*(b*c^4*d^5*e - 2*b*c^2*d^3*e^3 + b*d*e^5)*x)*log(-c*x + sqrt(c^2*x^2 - 1)) + (b*c^3*d^5*e - b*c*d^3*e^3 + (b*c^3*d^4*e^2 - b*c*d^2*e^4)*x)*sqrt(c^2*x^2 - 1))/(c^4*d^8*e - 2*c^2*d^6*e^3 + d^4*e^5 + (c^4*d^6*e^3 - 2*c^2*d^4*e^5 + d^2*e^7)*x^2 + 2*(c^4*d^7*e^2 - 2*c^2*d^5*e^4 + d^3*e^6)*x), -1/2*((a + b)*c^4*d^6 - (2*a + b)*c^2*d^4*e^2 + a*d^2*e^4 + (b*c^4*d^4*e^2 - b*c^2*d^2*e^4)*x^2 + 2*(b*c^3*d^3*e^2*x^2 + 2*b*c^3*d^4*e*x + b*c^3*d^5)*sqrt(-c^2*d^2 + e^2)*arctan(-(sqrt(-c^2*d^2 + e^2)*sqrt(c^2*x^2 - 1)*e - sqrt(-c^2*d^2 + e^2)*(c*e*x + c*d))/(c^2*d^2 - e^2)) + 2*(b*c^4*d^5*e - b*c^2*d^3*e^3)*x - ((b*c^4*d^4*e^2 - 2*b*c^2*d^2*e^4 + b*e^6)*x^2 + 2*(b*c^4*d^5*e - 2*b*c^2*d^3*e^3 + b*d*e^5)*x)*log(c*x + sqrt(c^2*x^2 - 1)) - (b*c^4*d^6 - 2*b*c^2*d^4*e^2 + b*d^2*e^4 + (b*c^4*d^4*e^2 - 2*b*c^2*d^2*e^4 + b*e^6)*x^2 + 2*(b*c^4*d^5*e - 2*b*c^2*d^3*e^3 + b*d*e^5)*x)*log(-c*x + sqrt(c^2*x^2 - 1)) + (b*c^3*d^5*e - b*c*d^3*e^3 + (b*c^3*d^4*e^2 - b*c*d^2*e^4)*x)*sqrt(c^2*x^2 - 1))/(c^4*d^8*e - 2*c^2*d^6*e^3 + d^4*e^5 + (c^4*d^6*e^3 - 2*c^2*d^4*e^5 + d^2*e^7)*x^2 + 2*(c^4*d^7*e^2 - 2*c^2*d^5*e^4 + d^3*e^6)*x)]","B",0
20,1,1963,0,1.550590," ","integrate((a+b*arccosh(c*x))/(e*x+d)^4,x, algorithm=""fricas"")","\left[-\frac{{\left(2 \, a + 3 \, b\right)} c^{6} d^{9} - 3 \, {\left(2 \, a + b\right)} c^{4} d^{7} e^{2} + 6 \, a c^{2} d^{5} e^{4} - 2 \, a d^{3} e^{6} + 3 \, {\left(b c^{6} d^{6} e^{3} - b c^{4} d^{4} e^{5}\right)} x^{3} + 9 \, {\left(b c^{6} d^{7} e^{2} - b c^{4} d^{5} e^{4}\right)} x^{2} - {\left(2 \, b c^{5} d^{8} + b c^{3} d^{6} e^{2} + {\left(2 \, b c^{5} d^{5} e^{3} + b c^{3} d^{3} e^{5}\right)} x^{3} + 3 \, {\left(2 \, b c^{5} d^{6} e^{2} + b c^{3} d^{4} e^{4}\right)} x^{2} + 3 \, {\left(2 \, b c^{5} d^{7} e + b c^{3} d^{5} e^{3}\right)} x\right)} \sqrt{c^{2} d^{2} - e^{2}} \log\left(\frac{c^{3} d^{2} x + c d e + \sqrt{c^{2} d^{2} - e^{2}} {\left(c^{2} d x + e\right)} + {\left(c^{2} d^{2} + \sqrt{c^{2} d^{2} - e^{2}} c d - e^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{e x + d}\right) + 9 \, {\left(b c^{6} d^{8} e - b c^{4} d^{6} e^{3}\right)} x - 2 \, {\left({\left(b c^{6} d^{6} e^{3} - 3 \, b c^{4} d^{4} e^{5} + 3 \, b c^{2} d^{2} e^{7} - b e^{9}\right)} x^{3} + 3 \, {\left(b c^{6} d^{7} e^{2} - 3 \, b c^{4} d^{5} e^{4} + 3 \, b c^{2} d^{3} e^{6} - b d e^{8}\right)} x^{2} + 3 \, {\left(b c^{6} d^{8} e - 3 \, b c^{4} d^{6} e^{3} + 3 \, b c^{2} d^{4} e^{5} - b d^{2} e^{7}\right)} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 2 \, {\left(b c^{6} d^{9} - 3 \, b c^{4} d^{7} e^{2} + 3 \, b c^{2} d^{5} e^{4} - b d^{3} e^{6} + {\left(b c^{6} d^{6} e^{3} - 3 \, b c^{4} d^{4} e^{5} + 3 \, b c^{2} d^{2} e^{7} - b e^{9}\right)} x^{3} + 3 \, {\left(b c^{6} d^{7} e^{2} - 3 \, b c^{4} d^{5} e^{4} + 3 \, b c^{2} d^{3} e^{6} - b d e^{8}\right)} x^{2} + 3 \, {\left(b c^{6} d^{8} e - 3 \, b c^{4} d^{6} e^{3} + 3 \, b c^{2} d^{4} e^{5} - b d^{2} e^{7}\right)} x\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(4 \, b c^{5} d^{8} e - 5 \, b c^{3} d^{6} e^{3} + b c d^{4} e^{5} + 3 \, {\left(b c^{5} d^{6} e^{3} - b c^{3} d^{4} e^{5}\right)} x^{2} + {\left(7 \, b c^{5} d^{7} e^{2} - 8 \, b c^{3} d^{5} e^{4} + b c d^{3} e^{6}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{6 \, {\left(c^{6} d^{12} e - 3 \, c^{4} d^{10} e^{3} + 3 \, c^{2} d^{8} e^{5} - d^{6} e^{7} + {\left(c^{6} d^{9} e^{4} - 3 \, c^{4} d^{7} e^{6} + 3 \, c^{2} d^{5} e^{8} - d^{3} e^{10}\right)} x^{3} + 3 \, {\left(c^{6} d^{10} e^{3} - 3 \, c^{4} d^{8} e^{5} + 3 \, c^{2} d^{6} e^{7} - d^{4} e^{9}\right)} x^{2} + 3 \, {\left(c^{6} d^{11} e^{2} - 3 \, c^{4} d^{9} e^{4} + 3 \, c^{2} d^{7} e^{6} - d^{5} e^{8}\right)} x\right)}}, -\frac{{\left(2 \, a + 3 \, b\right)} c^{6} d^{9} - 3 \, {\left(2 \, a + b\right)} c^{4} d^{7} e^{2} + 6 \, a c^{2} d^{5} e^{4} - 2 \, a d^{3} e^{6} + 3 \, {\left(b c^{6} d^{6} e^{3} - b c^{4} d^{4} e^{5}\right)} x^{3} + 9 \, {\left(b c^{6} d^{7} e^{2} - b c^{4} d^{5} e^{4}\right)} x^{2} + 2 \, {\left(2 \, b c^{5} d^{8} + b c^{3} d^{6} e^{2} + {\left(2 \, b c^{5} d^{5} e^{3} + b c^{3} d^{3} e^{5}\right)} x^{3} + 3 \, {\left(2 \, b c^{5} d^{6} e^{2} + b c^{3} d^{4} e^{4}\right)} x^{2} + 3 \, {\left(2 \, b c^{5} d^{7} e + b c^{3} d^{5} e^{3}\right)} x\right)} \sqrt{-c^{2} d^{2} + e^{2}} \arctan\left(-\frac{\sqrt{-c^{2} d^{2} + e^{2}} \sqrt{c^{2} x^{2} - 1} e - \sqrt{-c^{2} d^{2} + e^{2}} {\left(c e x + c d\right)}}{c^{2} d^{2} - e^{2}}\right) + 9 \, {\left(b c^{6} d^{8} e - b c^{4} d^{6} e^{3}\right)} x - 2 \, {\left({\left(b c^{6} d^{6} e^{3} - 3 \, b c^{4} d^{4} e^{5} + 3 \, b c^{2} d^{2} e^{7} - b e^{9}\right)} x^{3} + 3 \, {\left(b c^{6} d^{7} e^{2} - 3 \, b c^{4} d^{5} e^{4} + 3 \, b c^{2} d^{3} e^{6} - b d e^{8}\right)} x^{2} + 3 \, {\left(b c^{6} d^{8} e - 3 \, b c^{4} d^{6} e^{3} + 3 \, b c^{2} d^{4} e^{5} - b d^{2} e^{7}\right)} x\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 2 \, {\left(b c^{6} d^{9} - 3 \, b c^{4} d^{7} e^{2} + 3 \, b c^{2} d^{5} e^{4} - b d^{3} e^{6} + {\left(b c^{6} d^{6} e^{3} - 3 \, b c^{4} d^{4} e^{5} + 3 \, b c^{2} d^{2} e^{7} - b e^{9}\right)} x^{3} + 3 \, {\left(b c^{6} d^{7} e^{2} - 3 \, b c^{4} d^{5} e^{4} + 3 \, b c^{2} d^{3} e^{6} - b d e^{8}\right)} x^{2} + 3 \, {\left(b c^{6} d^{8} e - 3 \, b c^{4} d^{6} e^{3} + 3 \, b c^{2} d^{4} e^{5} - b d^{2} e^{7}\right)} x\right)} \log\left(-c x + \sqrt{c^{2} x^{2} - 1}\right) + {\left(4 \, b c^{5} d^{8} e - 5 \, b c^{3} d^{6} e^{3} + b c d^{4} e^{5} + 3 \, {\left(b c^{5} d^{6} e^{3} - b c^{3} d^{4} e^{5}\right)} x^{2} + {\left(7 \, b c^{5} d^{7} e^{2} - 8 \, b c^{3} d^{5} e^{4} + b c d^{3} e^{6}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{6 \, {\left(c^{6} d^{12} e - 3 \, c^{4} d^{10} e^{3} + 3 \, c^{2} d^{8} e^{5} - d^{6} e^{7} + {\left(c^{6} d^{9} e^{4} - 3 \, c^{4} d^{7} e^{6} + 3 \, c^{2} d^{5} e^{8} - d^{3} e^{10}\right)} x^{3} + 3 \, {\left(c^{6} d^{10} e^{3} - 3 \, c^{4} d^{8} e^{5} + 3 \, c^{2} d^{6} e^{7} - d^{4} e^{9}\right)} x^{2} + 3 \, {\left(c^{6} d^{11} e^{2} - 3 \, c^{4} d^{9} e^{4} + 3 \, c^{2} d^{7} e^{6} - d^{5} e^{8}\right)} x\right)}}\right]"," ",0,"[-1/6*((2*a + 3*b)*c^6*d^9 - 3*(2*a + b)*c^4*d^7*e^2 + 6*a*c^2*d^5*e^4 - 2*a*d^3*e^6 + 3*(b*c^6*d^6*e^3 - b*c^4*d^4*e^5)*x^3 + 9*(b*c^6*d^7*e^2 - b*c^4*d^5*e^4)*x^2 - (2*b*c^5*d^8 + b*c^3*d^6*e^2 + (2*b*c^5*d^5*e^3 + b*c^3*d^3*e^5)*x^3 + 3*(2*b*c^5*d^6*e^2 + b*c^3*d^4*e^4)*x^2 + 3*(2*b*c^5*d^7*e + b*c^3*d^5*e^3)*x)*sqrt(c^2*d^2 - e^2)*log((c^3*d^2*x + c*d*e + sqrt(c^2*d^2 - e^2)*(c^2*d*x + e) + (c^2*d^2 + sqrt(c^2*d^2 - e^2)*c*d - e^2)*sqrt(c^2*x^2 - 1))/(e*x + d)) + 9*(b*c^6*d^8*e - b*c^4*d^6*e^3)*x - 2*((b*c^6*d^6*e^3 - 3*b*c^4*d^4*e^5 + 3*b*c^2*d^2*e^7 - b*e^9)*x^3 + 3*(b*c^6*d^7*e^2 - 3*b*c^4*d^5*e^4 + 3*b*c^2*d^3*e^6 - b*d*e^8)*x^2 + 3*(b*c^6*d^8*e - 3*b*c^4*d^6*e^3 + 3*b*c^2*d^4*e^5 - b*d^2*e^7)*x)*log(c*x + sqrt(c^2*x^2 - 1)) - 2*(b*c^6*d^9 - 3*b*c^4*d^7*e^2 + 3*b*c^2*d^5*e^4 - b*d^3*e^6 + (b*c^6*d^6*e^3 - 3*b*c^4*d^4*e^5 + 3*b*c^2*d^2*e^7 - b*e^9)*x^3 + 3*(b*c^6*d^7*e^2 - 3*b*c^4*d^5*e^4 + 3*b*c^2*d^3*e^6 - b*d*e^8)*x^2 + 3*(b*c^6*d^8*e - 3*b*c^4*d^6*e^3 + 3*b*c^2*d^4*e^5 - b*d^2*e^7)*x)*log(-c*x + sqrt(c^2*x^2 - 1)) + (4*b*c^5*d^8*e - 5*b*c^3*d^6*e^3 + b*c*d^4*e^5 + 3*(b*c^5*d^6*e^3 - b*c^3*d^4*e^5)*x^2 + (7*b*c^5*d^7*e^2 - 8*b*c^3*d^5*e^4 + b*c*d^3*e^6)*x)*sqrt(c^2*x^2 - 1))/(c^6*d^12*e - 3*c^4*d^10*e^3 + 3*c^2*d^8*e^5 - d^6*e^7 + (c^6*d^9*e^4 - 3*c^4*d^7*e^6 + 3*c^2*d^5*e^8 - d^3*e^10)*x^3 + 3*(c^6*d^10*e^3 - 3*c^4*d^8*e^5 + 3*c^2*d^6*e^7 - d^4*e^9)*x^2 + 3*(c^6*d^11*e^2 - 3*c^4*d^9*e^4 + 3*c^2*d^7*e^6 - d^5*e^8)*x), -1/6*((2*a + 3*b)*c^6*d^9 - 3*(2*a + b)*c^4*d^7*e^2 + 6*a*c^2*d^5*e^4 - 2*a*d^3*e^6 + 3*(b*c^6*d^6*e^3 - b*c^4*d^4*e^5)*x^3 + 9*(b*c^6*d^7*e^2 - b*c^4*d^5*e^4)*x^2 + 2*(2*b*c^5*d^8 + b*c^3*d^6*e^2 + (2*b*c^5*d^5*e^3 + b*c^3*d^3*e^5)*x^3 + 3*(2*b*c^5*d^6*e^2 + b*c^3*d^4*e^4)*x^2 + 3*(2*b*c^5*d^7*e + b*c^3*d^5*e^3)*x)*sqrt(-c^2*d^2 + e^2)*arctan(-(sqrt(-c^2*d^2 + e^2)*sqrt(c^2*x^2 - 1)*e - sqrt(-c^2*d^2 + e^2)*(c*e*x + c*d))/(c^2*d^2 - e^2)) + 9*(b*c^6*d^8*e - b*c^4*d^6*e^3)*x - 2*((b*c^6*d^6*e^3 - 3*b*c^4*d^4*e^5 + 3*b*c^2*d^2*e^7 - b*e^9)*x^3 + 3*(b*c^6*d^7*e^2 - 3*b*c^4*d^5*e^4 + 3*b*c^2*d^3*e^6 - b*d*e^8)*x^2 + 3*(b*c^6*d^8*e - 3*b*c^4*d^6*e^3 + 3*b*c^2*d^4*e^5 - b*d^2*e^7)*x)*log(c*x + sqrt(c^2*x^2 - 1)) - 2*(b*c^6*d^9 - 3*b*c^4*d^7*e^2 + 3*b*c^2*d^5*e^4 - b*d^3*e^6 + (b*c^6*d^6*e^3 - 3*b*c^4*d^4*e^5 + 3*b*c^2*d^2*e^7 - b*e^9)*x^3 + 3*(b*c^6*d^7*e^2 - 3*b*c^4*d^5*e^4 + 3*b*c^2*d^3*e^6 - b*d*e^8)*x^2 + 3*(b*c^6*d^8*e - 3*b*c^4*d^6*e^3 + 3*b*c^2*d^4*e^5 - b*d^2*e^7)*x)*log(-c*x + sqrt(c^2*x^2 - 1)) + (4*b*c^5*d^8*e - 5*b*c^3*d^6*e^3 + b*c*d^4*e^5 + 3*(b*c^5*d^6*e^3 - b*c^3*d^4*e^5)*x^2 + (7*b*c^5*d^7*e^2 - 8*b*c^3*d^5*e^4 + b*c*d^3*e^6)*x)*sqrt(c^2*x^2 - 1))/(c^6*d^12*e - 3*c^4*d^10*e^3 + 3*c^2*d^8*e^5 - d^6*e^7 + (c^6*d^9*e^4 - 3*c^4*d^7*e^6 + 3*c^2*d^5*e^8 - d^3*e^10)*x^3 + 3*(c^6*d^10*e^3 - 3*c^4*d^8*e^5 + 3*c^2*d^6*e^7 - d^4*e^9)*x^2 + 3*(c^6*d^11*e^2 - 3*c^4*d^9*e^4 + 3*c^2*d^7*e^6 - d^5*e^8)*x)]","B",0
21,1,472,0,0.605285," ","integrate((e*x+d)^3*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","\frac{9 \, {\left(8 \, a^{2} + b^{2}\right)} c^{4} e^{3} x^{4} + 32 \, {\left(9 \, a^{2} + 2 \, b^{2}\right)} c^{4} d e^{2} x^{3} + 27 \, {\left(8 \, {\left(2 \, a^{2} + b^{2}\right)} c^{4} d^{2} e + b^{2} c^{2} e^{3}\right)} x^{2} + 9 \, {\left(8 \, b^{2} c^{4} e^{3} x^{4} + 32 \, b^{2} c^{4} d e^{2} x^{3} + 48 \, b^{2} c^{4} d^{2} e x^{2} + 32 \, b^{2} c^{4} d^{3} x - 24 \, b^{2} c^{2} d^{2} e - 3 \, b^{2} e^{3}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} + 96 \, {\left(3 \, {\left(a^{2} + 2 \, b^{2}\right)} c^{4} d^{3} + 4 \, b^{2} c^{2} d e^{2}\right)} x + 6 \, {\left(24 \, a b c^{4} e^{3} x^{4} + 96 \, a b c^{4} d e^{2} x^{3} + 144 \, a b c^{4} d^{2} e x^{2} + 96 \, a b c^{4} d^{3} x - 72 \, a b c^{2} d^{2} e - 9 \, a b e^{3} - {\left(6 \, b^{2} c^{3} e^{3} x^{3} + 32 \, b^{2} c^{3} d e^{2} x^{2} + 96 \, b^{2} c^{3} d^{3} + 64 \, b^{2} c d e^{2} + 9 \, {\left(8 \, b^{2} c^{3} d^{2} e + b^{2} c e^{3}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 6 \, {\left(6 \, a b c^{3} e^{3} x^{3} + 32 \, a b c^{3} d e^{2} x^{2} + 96 \, a b c^{3} d^{3} + 64 \, a b c d e^{2} + 9 \, {\left(8 \, a b c^{3} d^{2} e + a b c e^{3}\right)} x\right)} \sqrt{c^{2} x^{2} - 1}}{288 \, c^{4}}"," ",0,"1/288*(9*(8*a^2 + b^2)*c^4*e^3*x^4 + 32*(9*a^2 + 2*b^2)*c^4*d*e^2*x^3 + 27*(8*(2*a^2 + b^2)*c^4*d^2*e + b^2*c^2*e^3)*x^2 + 9*(8*b^2*c^4*e^3*x^4 + 32*b^2*c^4*d*e^2*x^3 + 48*b^2*c^4*d^2*e*x^2 + 32*b^2*c^4*d^3*x - 24*b^2*c^2*d^2*e - 3*b^2*e^3)*log(c*x + sqrt(c^2*x^2 - 1))^2 + 96*(3*(a^2 + 2*b^2)*c^4*d^3 + 4*b^2*c^2*d*e^2)*x + 6*(24*a*b*c^4*e^3*x^4 + 96*a*b*c^4*d*e^2*x^3 + 144*a*b*c^4*d^2*e*x^2 + 96*a*b*c^4*d^3*x - 72*a*b*c^2*d^2*e - 9*a*b*e^3 - (6*b^2*c^3*e^3*x^3 + 32*b^2*c^3*d*e^2*x^2 + 96*b^2*c^3*d^3 + 64*b^2*c*d*e^2 + 9*(8*b^2*c^3*d^2*e + b^2*c*e^3)*x)*sqrt(c^2*x^2 - 1))*log(c*x + sqrt(c^2*x^2 - 1)) - 6*(6*a*b*c^3*e^3*x^3 + 32*a*b*c^3*d*e^2*x^2 + 96*a*b*c^3*d^3 + 64*a*b*c*d*e^2 + 9*(8*a*b*c^3*d^2*e + a*b*c*e^3)*x)*sqrt(c^2*x^2 - 1))/c^4","A",0
22,1,319,0,0.689250," ","integrate((e*x+d)^2*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","\frac{2 \, {\left(9 \, a^{2} + 2 \, b^{2}\right)} c^{3} e^{2} x^{3} + 27 \, {\left(2 \, a^{2} + b^{2}\right)} c^{3} d e x^{2} + 9 \, {\left(2 \, b^{2} c^{3} e^{2} x^{3} + 6 \, b^{2} c^{3} d e x^{2} + 6 \, b^{2} c^{3} d^{2} x - 3 \, b^{2} c d e\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} + 6 \, {\left(9 \, {\left(a^{2} + 2 \, b^{2}\right)} c^{3} d^{2} + 4 \, b^{2} c e^{2}\right)} x + 6 \, {\left(6 \, a b c^{3} e^{2} x^{3} + 18 \, a b c^{3} d e x^{2} + 18 \, a b c^{3} d^{2} x - 9 \, a b c d e - {\left(2 \, b^{2} c^{2} e^{2} x^{2} + 9 \, b^{2} c^{2} d e x + 18 \, b^{2} c^{2} d^{2} + 4 \, b^{2} e^{2}\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^{2} e^{2} x^{2} + 9 \, a b c^{2} d e x + 18 \, a b c^{2} d^{2} + 4 \, a b e^{2}\right)} \sqrt{c^{2} x^{2} - 1}}{54 \, c^{3}}"," ",0,"1/54*(2*(9*a^2 + 2*b^2)*c^3*e^2*x^3 + 27*(2*a^2 + b^2)*c^3*d*e*x^2 + 9*(2*b^2*c^3*e^2*x^3 + 6*b^2*c^3*d*e*x^2 + 6*b^2*c^3*d^2*x - 3*b^2*c*d*e)*log(c*x + sqrt(c^2*x^2 - 1))^2 + 6*(9*(a^2 + 2*b^2)*c^3*d^2 + 4*b^2*c*e^2)*x + 6*(6*a*b*c^3*e^2*x^3 + 18*a*b*c^3*d*e*x^2 + 18*a*b*c^3*d^2*x - 9*a*b*c*d*e - (2*b^2*c^2*e^2*x^2 + 9*b^2*c^2*d*e*x + 18*b^2*c^2*d^2 + 4*b^2*e^2)*sqrt(c^2*x^2 - 1))*log(c*x + sqrt(c^2*x^2 - 1)) - 6*(2*a*b*c^2*e^2*x^2 + 9*a*b*c^2*d*e*x + 18*a*b*c^2*d^2 + 4*a*b*e^2)*sqrt(c^2*x^2 - 1))/c^3","A",0
23,1,185,0,0.694037," ","integrate((e*x+d)*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","\frac{{\left(2 \, a^{2} + b^{2}\right)} c^{2} e x^{2} + 4 \, {\left(a^{2} + 2 \, b^{2}\right)} c^{2} d x + {\left(2 \, b^{2} c^{2} e x^{2} + 4 \, b^{2} c^{2} d x - b^{2} e\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right)^{2} + 2 \, {\left(2 \, a b c^{2} e x^{2} + 4 \, a b c^{2} d x - a b e - {\left(b^{2} c e x + 4 \, b^{2} c d\right)} \sqrt{c^{2} x^{2} - 1}\right)} \log\left(c x + \sqrt{c^{2} x^{2} - 1}\right) - 2 \, {\left(a b c e x + 4 \, a b c d\right)} \sqrt{c^{2} x^{2} - 1}}{4 \, c^{2}}"," ",0,"1/4*((2*a^2 + b^2)*c^2*e*x^2 + 4*(a^2 + 2*b^2)*c^2*d*x + (2*b^2*c^2*e*x^2 + 4*b^2*c^2*d*x - b^2*e)*log(c*x + sqrt(c^2*x^2 - 1))^2 + 2*(2*a*b*c^2*e*x^2 + 4*a*b*c^2*d*x - a*b*e - (b^2*c*e*x + 4*b^2*c*d)*sqrt(c^2*x^2 - 1))*log(c*x + sqrt(c^2*x^2 - 1)) - 2*(a*b*c*e*x + 4*a*b*c*d)*sqrt(c^2*x^2 - 1))/c^2","A",0
24,0,0,0,0.732474," ","integrate((a+b*arccosh(c*x))^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}{e x + d}, x\right)"," ",0,"integral((b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(e*x + d), x)","F",0
25,0,0,0,0.981808," ","integrate((a+b*arccosh(c*x))^2/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
26,0,0,0,0.546679," ","integrate((a+b*arccosh(c*x))^2/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
27,0,0,0,0.490304," ","integrate((e*x+d)^3/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral((e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3)/(b*arccosh(c*x) + a), x)","F",0
28,0,0,0,0.544522," ","integrate((e*x+d)^2/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{2} x^{2} + 2 \, d e x + d^{2}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral((e^2*x^2 + 2*d*e*x + d^2)/(b*arccosh(c*x) + a), x)","F",0
29,0,0,0,0.480921," ","integrate((e*x+d)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x + d}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral((e*x + d)/(b*arccosh(c*x) + a), x)","F",0
30,0,0,0,0.520824," ","integrate(1/(e*x+d)/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a e x + a d + {\left(b e x + b d\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(1/(a*e*x + a*d + (b*e*x + b*d)*arccosh(c*x)), x)","F",0
31,0,0,0,0.596286," ","integrate(1/(e*x+d)^2/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a e^{2} x^{2} + 2 \, a d e x + a d^{2} + {\left(b e^{2} x^{2} + 2 \, b d e x + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(1/(a*e^2*x^2 + 2*a*d*e*x + a*d^2 + (b*e^2*x^2 + 2*b*d*e*x + b*d^2)*arccosh(c*x)), x)","F",0
32,0,0,0,0.557194," ","integrate((e*x+d)^2/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{2} x^{2} + 2 \, d e x + d^{2}}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((e^2*x^2 + 2*d*e*x + d^2)/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
33,0,0,0,0.578031," ","integrate((e*x+d)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x + d}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((e*x + d)/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
34,0,0,0,0.558778," ","integrate(1/(e*x+d)/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} e x + a^{2} d + {\left(b^{2} e x + b^{2} d\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b e x + a b d\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(1/(a^2*e*x + a^2*d + (b^2*e*x + b^2*d)*arccosh(c*x)^2 + 2*(a*b*e*x + a*b*d)*arccosh(c*x)), x)","F",0
35,0,0,0,0.519931," ","integrate(1/(e*x+d)^2/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} e^{2} x^{2} + 2 \, a^{2} d e x + a^{2} d^{2} + {\left(b^{2} e^{2} x^{2} + 2 \, b^{2} d e x + b^{2} d^{2}\right)} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, {\left(a b e^{2} x^{2} + 2 \, a b d e x + a b d^{2}\right)} \operatorname{arcosh}\left(c x\right)}, x\right)"," ",0,"integral(1/(a^2*e^2*x^2 + 2*a^2*d*e*x + a^2*d^2 + (b^2*e^2*x^2 + 2*b^2*d*e*x + b^2*d^2)*arccosh(c*x)^2 + 2*(a*b*e^2*x^2 + 2*a*b*d*e*x + a*b*d^2)*arccosh(c*x)), x)","F",0
36,0,0,0,0.745653," ","integrate((e*x+d)^m*(a+b*arccosh(c*x))^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} \operatorname{arcosh}\left(c x\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(c x\right) + a^{3}\right)} {\left(e x + d\right)}^{m}, x\right)"," ",0,"integral((b^3*arccosh(c*x)^3 + 3*a*b^2*arccosh(c*x)^2 + 3*a^2*b*arccosh(c*x) + a^3)*(e*x + d)^m, x)","F",0
37,0,0,0,1.003034," ","integrate((e*x+d)^m*(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)} {\left(e x + d\right)}^{m}, x\right)"," ",0,"integral((b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)*(e*x + d)^m, x)","F",0
38,0,0,0,0.615375," ","integrate((e*x+d)^m*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \operatorname{arcosh}\left(c x\right) + a\right)} {\left(e x + d\right)}^{m}, x\right)"," ",0,"integral((b*arccosh(c*x) + a)*(e*x + d)^m, x)","F",0
39,0,0,0,0.638818," ","integrate((e*x+d)^m/(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(e x + d\right)}^{m}}{b \operatorname{arcosh}\left(c x\right) + a}, x\right)"," ",0,"integral((e*x + d)^m/(b*arccosh(c*x) + a), x)","F",0
40,0,0,0,0.691442," ","integrate((e*x+d)^m/(a+b*arccosh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(e x + d\right)}^{m}}{b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((e*x + d)^m/(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2), x)","F",0
41,1,250,0,0.898145," ","integrate((d*x^2+c)^4*arccosh(a*x),x, algorithm=""fricas"")","\frac{315 \, {\left(35 \, a^{9} d^{4} x^{9} + 180 \, a^{9} c d^{3} x^{7} + 378 \, a^{9} c^{2} d^{2} x^{5} + 420 \, a^{9} c^{3} d x^{3} + 315 \, a^{9} c^{4} x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - {\left(1225 \, a^{8} d^{4} x^{8} + 99225 \, a^{8} c^{4} + 88200 \, a^{6} c^{3} d + 63504 \, a^{4} c^{2} d^{2} + 100 \, {\left(81 \, a^{8} c d^{3} + 14 \, a^{6} d^{4}\right)} x^{6} + 25920 \, a^{2} c d^{3} + 6 \, {\left(3969 \, a^{8} c^{2} d^{2} + 1620 \, a^{6} c d^{3} + 280 \, a^{4} d^{4}\right)} x^{4} + 4480 \, d^{4} + 4 \, {\left(11025 \, a^{8} c^{3} d + 7938 \, a^{6} c^{2} d^{2} + 3240 \, a^{4} c d^{3} + 560 \, a^{2} d^{4}\right)} x^{2}\right)} \sqrt{a^{2} x^{2} - 1}}{99225 \, a^{9}}"," ",0,"1/99225*(315*(35*a^9*d^4*x^9 + 180*a^9*c*d^3*x^7 + 378*a^9*c^2*d^2*x^5 + 420*a^9*c^3*d*x^3 + 315*a^9*c^4*x)*log(a*x + sqrt(a^2*x^2 - 1)) - (1225*a^8*d^4*x^8 + 99225*a^8*c^4 + 88200*a^6*c^3*d + 63504*a^4*c^2*d^2 + 100*(81*a^8*c*d^3 + 14*a^6*d^4)*x^6 + 25920*a^2*c*d^3 + 6*(3969*a^8*c^2*d^2 + 1620*a^6*c*d^3 + 280*a^4*d^4)*x^4 + 4480*d^4 + 4*(11025*a^8*c^3*d + 7938*a^6*c^2*d^2 + 3240*a^4*c*d^3 + 560*a^2*d^4)*x^2)*sqrt(a^2*x^2 - 1))/a^9","A",0
42,1,179,0,0.462832," ","integrate((d*x^2+c)^3*arccosh(a*x),x, algorithm=""fricas"")","\frac{105 \, {\left(5 \, a^{7} d^{3} x^{7} + 21 \, a^{7} c d^{2} x^{5} + 35 \, a^{7} c^{2} d x^{3} + 35 \, a^{7} c^{3} x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - {\left(75 \, a^{6} d^{3} x^{6} + 3675 \, a^{6} c^{3} + 2450 \, a^{4} c^{2} d + 1176 \, a^{2} c d^{2} + 9 \, {\left(49 \, a^{6} c d^{2} + 10 \, a^{4} d^{3}\right)} x^{4} + 240 \, d^{3} + {\left(1225 \, a^{6} c^{2} d + 588 \, a^{4} c d^{2} + 120 \, a^{2} d^{3}\right)} x^{2}\right)} \sqrt{a^{2} x^{2} - 1}}{3675 \, a^{7}}"," ",0,"1/3675*(105*(5*a^7*d^3*x^7 + 21*a^7*c*d^2*x^5 + 35*a^7*c^2*d*x^3 + 35*a^7*c^3*x)*log(a*x + sqrt(a^2*x^2 - 1)) - (75*a^6*d^3*x^6 + 3675*a^6*c^3 + 2450*a^4*c^2*d + 1176*a^2*c*d^2 + 9*(49*a^6*c*d^2 + 10*a^4*d^3)*x^4 + 240*d^3 + (1225*a^6*c^2*d + 588*a^4*c*d^2 + 120*a^2*d^3)*x^2)*sqrt(a^2*x^2 - 1))/a^7","A",0
43,1,121,0,1.318693," ","integrate((d*x^2+c)^2*arccosh(a*x),x, algorithm=""fricas"")","\frac{15 \, {\left(3 \, a^{5} d^{2} x^{5} + 10 \, a^{5} c d x^{3} + 15 \, a^{5} c^{2} x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - {\left(9 \, a^{4} d^{2} x^{4} + 225 \, a^{4} c^{2} + 100 \, a^{2} c d + 2 \, {\left(25 \, a^{4} c d + 6 \, a^{2} d^{2}\right)} x^{2} + 24 \, d^{2}\right)} \sqrt{a^{2} x^{2} - 1}}{225 \, a^{5}}"," ",0,"1/225*(15*(3*a^5*d^2*x^5 + 10*a^5*c*d*x^3 + 15*a^5*c^2*x)*log(a*x + sqrt(a^2*x^2 - 1)) - (9*a^4*d^2*x^4 + 225*a^4*c^2 + 100*a^2*c*d + 2*(25*a^4*c*d + 6*a^2*d^2)*x^2 + 24*d^2)*sqrt(a^2*x^2 - 1))/a^5","A",0
44,1,71,0,0.568096," ","integrate((d*x^2+c)*arccosh(a*x),x, algorithm=""fricas"")","\frac{3 \, {\left(a^{3} d x^{3} + 3 \, a^{3} c x\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - {\left(a^{2} d x^{2} + 9 \, a^{2} c + 2 \, d\right)} \sqrt{a^{2} x^{2} - 1}}{9 \, a^{3}}"," ",0,"1/9*(3*(a^3*d*x^3 + 3*a^3*c*x)*log(a*x + sqrt(a^2*x^2 - 1)) - (a^2*d*x^2 + 9*a^2*c + 2*d)*sqrt(a^2*x^2 - 1))/a^3","A",0
45,0,0,0,0.946578," ","integrate(arccosh(a*x)/(d*x^2+c),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arcosh}\left(a x\right)}{d x^{2} + c}, x\right)"," ",0,"integral(arccosh(a*x)/(d*x^2 + c), x)","F",0
46,0,0,0,0.571094," ","integrate(arccosh(a*x)/(d*x^2+c)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arcosh}\left(a x\right)}{d^{2} x^{4} + 2 \, c d x^{2} + c^{2}}, x\right)"," ",0,"integral(arccosh(a*x)/(d^2*x^4 + 2*c*d*x^2 + c^2), x)","F",0
47,0,0,0,0.522304," ","integrate((d*x^2+c)^(1/2)*arccosh(a*x),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d x^{2} + c} \operatorname{arcosh}\left(a x\right), x\right)"," ",0,"integral(sqrt(d*x^2 + c)*arccosh(a*x), x)","F",0
48,0,0,0,0.683149," ","integrate(arccosh(a*x)/(d*x^2+c)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arcosh}\left(a x\right)}{\sqrt{d x^{2} + c}}, x\right)"," ",0,"integral(arccosh(a*x)/sqrt(d*x^2 + c), x)","F",0
49,1,296,0,0.592548," ","integrate(arccosh(a*x)/(d*x^2+c)^(3/2),x, algorithm=""fricas"")","\left[\frac{4 \, \sqrt{d x^{2} + c} d x \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) + {\left(d x^{2} + c\right)} \sqrt{d} \log\left(8 \, a^{4} d^{2} x^{4} + a^{4} c^{2} - 6 \, a^{2} c d + 8 \, {\left(a^{4} c d - a^{2} d^{2}\right)} x^{2} - 4 \, {\left(2 \, a^{3} d x^{2} + a^{3} c - a d\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{d x^{2} + c} \sqrt{d} + d^{2}\right)}{4 \, {\left(c d^{2} x^{2} + c^{2} d\right)}}, \frac{2 \, \sqrt{d x^{2} + c} d x \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) + {\left(d x^{2} + c\right)} \sqrt{-d} \arctan\left(\frac{{\left(2 \, a^{2} d x^{2} + a^{2} c - d\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{d x^{2} + c} \sqrt{-d}}{2 \, {\left(a^{3} d^{2} x^{4} - a c d + {\left(a^{3} c d - a d^{2}\right)} x^{2}\right)}}\right)}{2 \, {\left(c d^{2} x^{2} + c^{2} d\right)}}\right]"," ",0,"[1/4*(4*sqrt(d*x^2 + c)*d*x*log(a*x + sqrt(a^2*x^2 - 1)) + (d*x^2 + c)*sqrt(d)*log(8*a^4*d^2*x^4 + a^4*c^2 - 6*a^2*c*d + 8*(a^4*c*d - a^2*d^2)*x^2 - 4*(2*a^3*d*x^2 + a^3*c - a*d)*sqrt(a^2*x^2 - 1)*sqrt(d*x^2 + c)*sqrt(d) + d^2))/(c*d^2*x^2 + c^2*d), 1/2*(2*sqrt(d*x^2 + c)*d*x*log(a*x + sqrt(a^2*x^2 - 1)) + (d*x^2 + c)*sqrt(-d)*arctan(1/2*(2*a^2*d*x^2 + a^2*c - d)*sqrt(a^2*x^2 - 1)*sqrt(d*x^2 + c)*sqrt(-d)/(a^3*d^2*x^4 - a*c*d + (a^3*c*d - a*d^2)*x^2)))/(c*d^2*x^2 + c^2*d)]","A",0
50,1,613,0,0.717640," ","integrate(arccosh(a*x)/(d*x^2+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{{\left(a^{2} c^{3} + {\left(a^{2} c d^{2} + d^{3}\right)} x^{4} + c^{2} d + 2 \, {\left(a^{2} c^{2} d + c d^{2}\right)} x^{2}\right)} \sqrt{d} \log\left(8 \, a^{4} d^{2} x^{4} + a^{4} c^{2} - 6 \, a^{2} c d + 8 \, {\left(a^{4} c d - a^{2} d^{2}\right)} x^{2} - 4 \, {\left(2 \, a^{3} d x^{2} + a^{3} c - a d\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{d x^{2} + c} \sqrt{d} + d^{2}\right) + 2 \, {\left(2 \, {\left(a^{2} c d^{2} + d^{3}\right)} x^{3} + 3 \, {\left(a^{2} c^{2} d + c d^{2}\right)} x\right)} \sqrt{d x^{2} + c} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - 2 \, {\left(a c d^{2} x^{2} + a c^{2} d\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{d x^{2} + c}}{6 \, {\left(a^{2} c^{5} d + c^{4} d^{2} + {\left(a^{2} c^{3} d^{3} + c^{2} d^{4}\right)} x^{4} + 2 \, {\left(a^{2} c^{4} d^{2} + c^{3} d^{3}\right)} x^{2}\right)}}, \frac{{\left(a^{2} c^{3} + {\left(a^{2} c d^{2} + d^{3}\right)} x^{4} + c^{2} d + 2 \, {\left(a^{2} c^{2} d + c d^{2}\right)} x^{2}\right)} \sqrt{-d} \arctan\left(\frac{{\left(2 \, a^{2} d x^{2} + a^{2} c - d\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{d x^{2} + c} \sqrt{-d}}{2 \, {\left(a^{3} d^{2} x^{4} - a c d + {\left(a^{3} c d - a d^{2}\right)} x^{2}\right)}}\right) + {\left(2 \, {\left(a^{2} c d^{2} + d^{3}\right)} x^{3} + 3 \, {\left(a^{2} c^{2} d + c d^{2}\right)} x\right)} \sqrt{d x^{2} + c} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - {\left(a c d^{2} x^{2} + a c^{2} d\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{d x^{2} + c}}{3 \, {\left(a^{2} c^{5} d + c^{4} d^{2} + {\left(a^{2} c^{3} d^{3} + c^{2} d^{4}\right)} x^{4} + 2 \, {\left(a^{2} c^{4} d^{2} + c^{3} d^{3}\right)} x^{2}\right)}}\right]"," ",0,"[1/6*((a^2*c^3 + (a^2*c*d^2 + d^3)*x^4 + c^2*d + 2*(a^2*c^2*d + c*d^2)*x^2)*sqrt(d)*log(8*a^4*d^2*x^4 + a^4*c^2 - 6*a^2*c*d + 8*(a^4*c*d - a^2*d^2)*x^2 - 4*(2*a^3*d*x^2 + a^3*c - a*d)*sqrt(a^2*x^2 - 1)*sqrt(d*x^2 + c)*sqrt(d) + d^2) + 2*(2*(a^2*c*d^2 + d^3)*x^3 + 3*(a^2*c^2*d + c*d^2)*x)*sqrt(d*x^2 + c)*log(a*x + sqrt(a^2*x^2 - 1)) - 2*(a*c*d^2*x^2 + a*c^2*d)*sqrt(a^2*x^2 - 1)*sqrt(d*x^2 + c))/(a^2*c^5*d + c^4*d^2 + (a^2*c^3*d^3 + c^2*d^4)*x^4 + 2*(a^2*c^4*d^2 + c^3*d^3)*x^2), 1/3*((a^2*c^3 + (a^2*c*d^2 + d^3)*x^4 + c^2*d + 2*(a^2*c^2*d + c*d^2)*x^2)*sqrt(-d)*arctan(1/2*(2*a^2*d*x^2 + a^2*c - d)*sqrt(a^2*x^2 - 1)*sqrt(d*x^2 + c)*sqrt(-d)/(a^3*d^2*x^4 - a*c*d + (a^3*c*d - a*d^2)*x^2)) + (2*(a^2*c*d^2 + d^3)*x^3 + 3*(a^2*c^2*d + c*d^2)*x)*sqrt(d*x^2 + c)*log(a*x + sqrt(a^2*x^2 - 1)) - (a*c*d^2*x^2 + a*c^2*d)*sqrt(a^2*x^2 - 1)*sqrt(d*x^2 + c))/(a^2*c^5*d + c^4*d^2 + (a^2*c^3*d^3 + c^2*d^4)*x^4 + 2*(a^2*c^4*d^2 + c^3*d^3)*x^2)]","B",0
51,1,1098,0,0.896574," ","integrate(arccosh(a*x)/(d*x^2+c)^(7/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(a^{4} c^{5} + 2 \, a^{2} c^{4} d + {\left(a^{4} c^{2} d^{3} + 2 \, a^{2} c d^{4} + d^{5}\right)} x^{6} + c^{3} d^{2} + 3 \, {\left(a^{4} c^{3} d^{2} + 2 \, a^{2} c^{2} d^{3} + c d^{4}\right)} x^{4} + 3 \, {\left(a^{4} c^{4} d + 2 \, a^{2} c^{3} d^{2} + c^{2} d^{3}\right)} x^{2}\right)} \sqrt{d} \log\left(8 \, a^{4} d^{2} x^{4} + a^{4} c^{2} - 6 \, a^{2} c d + 8 \, {\left(a^{4} c d - a^{2} d^{2}\right)} x^{2} - 4 \, {\left(2 \, a^{3} d x^{2} + a^{3} c - a d\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{d x^{2} + c} \sqrt{d} + d^{2}\right) + {\left(8 \, {\left(a^{4} c^{2} d^{3} + 2 \, a^{2} c d^{4} + d^{5}\right)} x^{5} + 20 \, {\left(a^{4} c^{3} d^{2} + 2 \, a^{2} c^{2} d^{3} + c d^{4}\right)} x^{3} + 15 \, {\left(a^{4} c^{4} d + 2 \, a^{2} c^{3} d^{2} + c^{2} d^{3}\right)} x\right)} \sqrt{d x^{2} + c} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - {\left(7 \, a^{3} c^{4} d + 5 \, a c^{3} d^{2} + 2 \, {\left(3 \, a^{3} c^{2} d^{3} + 2 \, a c d^{4}\right)} x^{4} + {\left(13 \, a^{3} c^{3} d^{2} + 9 \, a c^{2} d^{3}\right)} x^{2}\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{d x^{2} + c}}{15 \, {\left(a^{4} c^{8} d + 2 \, a^{2} c^{7} d^{2} + c^{6} d^{3} + {\left(a^{4} c^{5} d^{4} + 2 \, a^{2} c^{4} d^{5} + c^{3} d^{6}\right)} x^{6} + 3 \, {\left(a^{4} c^{6} d^{3} + 2 \, a^{2} c^{5} d^{4} + c^{4} d^{5}\right)} x^{4} + 3 \, {\left(a^{4} c^{7} d^{2} + 2 \, a^{2} c^{6} d^{3} + c^{5} d^{4}\right)} x^{2}\right)}}, \frac{4 \, {\left(a^{4} c^{5} + 2 \, a^{2} c^{4} d + {\left(a^{4} c^{2} d^{3} + 2 \, a^{2} c d^{4} + d^{5}\right)} x^{6} + c^{3} d^{2} + 3 \, {\left(a^{4} c^{3} d^{2} + 2 \, a^{2} c^{2} d^{3} + c d^{4}\right)} x^{4} + 3 \, {\left(a^{4} c^{4} d + 2 \, a^{2} c^{3} d^{2} + c^{2} d^{3}\right)} x^{2}\right)} \sqrt{-d} \arctan\left(\frac{{\left(2 \, a^{2} d x^{2} + a^{2} c - d\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{d x^{2} + c} \sqrt{-d}}{2 \, {\left(a^{3} d^{2} x^{4} - a c d + {\left(a^{3} c d - a d^{2}\right)} x^{2}\right)}}\right) + {\left(8 \, {\left(a^{4} c^{2} d^{3} + 2 \, a^{2} c d^{4} + d^{5}\right)} x^{5} + 20 \, {\left(a^{4} c^{3} d^{2} + 2 \, a^{2} c^{2} d^{3} + c d^{4}\right)} x^{3} + 15 \, {\left(a^{4} c^{4} d + 2 \, a^{2} c^{3} d^{2} + c^{2} d^{3}\right)} x\right)} \sqrt{d x^{2} + c} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - {\left(7 \, a^{3} c^{4} d + 5 \, a c^{3} d^{2} + 2 \, {\left(3 \, a^{3} c^{2} d^{3} + 2 \, a c d^{4}\right)} x^{4} + {\left(13 \, a^{3} c^{3} d^{2} + 9 \, a c^{2} d^{3}\right)} x^{2}\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{d x^{2} + c}}{15 \, {\left(a^{4} c^{8} d + 2 \, a^{2} c^{7} d^{2} + c^{6} d^{3} + {\left(a^{4} c^{5} d^{4} + 2 \, a^{2} c^{4} d^{5} + c^{3} d^{6}\right)} x^{6} + 3 \, {\left(a^{4} c^{6} d^{3} + 2 \, a^{2} c^{5} d^{4} + c^{4} d^{5}\right)} x^{4} + 3 \, {\left(a^{4} c^{7} d^{2} + 2 \, a^{2} c^{6} d^{3} + c^{5} d^{4}\right)} x^{2}\right)}}\right]"," ",0,"[1/15*(2*(a^4*c^5 + 2*a^2*c^4*d + (a^4*c^2*d^3 + 2*a^2*c*d^4 + d^5)*x^6 + c^3*d^2 + 3*(a^4*c^3*d^2 + 2*a^2*c^2*d^3 + c*d^4)*x^4 + 3*(a^4*c^4*d + 2*a^2*c^3*d^2 + c^2*d^3)*x^2)*sqrt(d)*log(8*a^4*d^2*x^4 + a^4*c^2 - 6*a^2*c*d + 8*(a^4*c*d - a^2*d^2)*x^2 - 4*(2*a^3*d*x^2 + a^3*c - a*d)*sqrt(a^2*x^2 - 1)*sqrt(d*x^2 + c)*sqrt(d) + d^2) + (8*(a^4*c^2*d^3 + 2*a^2*c*d^4 + d^5)*x^5 + 20*(a^4*c^3*d^2 + 2*a^2*c^2*d^3 + c*d^4)*x^3 + 15*(a^4*c^4*d + 2*a^2*c^3*d^2 + c^2*d^3)*x)*sqrt(d*x^2 + c)*log(a*x + sqrt(a^2*x^2 - 1)) - (7*a^3*c^4*d + 5*a*c^3*d^2 + 2*(3*a^3*c^2*d^3 + 2*a*c*d^4)*x^4 + (13*a^3*c^3*d^2 + 9*a*c^2*d^3)*x^2)*sqrt(a^2*x^2 - 1)*sqrt(d*x^2 + c))/(a^4*c^8*d + 2*a^2*c^7*d^2 + c^6*d^3 + (a^4*c^5*d^4 + 2*a^2*c^4*d^5 + c^3*d^6)*x^6 + 3*(a^4*c^6*d^3 + 2*a^2*c^5*d^4 + c^4*d^5)*x^4 + 3*(a^4*c^7*d^2 + 2*a^2*c^6*d^3 + c^5*d^4)*x^2), 1/15*(4*(a^4*c^5 + 2*a^2*c^4*d + (a^4*c^2*d^3 + 2*a^2*c*d^4 + d^5)*x^6 + c^3*d^2 + 3*(a^4*c^3*d^2 + 2*a^2*c^2*d^3 + c*d^4)*x^4 + 3*(a^4*c^4*d + 2*a^2*c^3*d^2 + c^2*d^3)*x^2)*sqrt(-d)*arctan(1/2*(2*a^2*d*x^2 + a^2*c - d)*sqrt(a^2*x^2 - 1)*sqrt(d*x^2 + c)*sqrt(-d)/(a^3*d^2*x^4 - a*c*d + (a^3*c*d - a*d^2)*x^2)) + (8*(a^4*c^2*d^3 + 2*a^2*c*d^4 + d^5)*x^5 + 20*(a^4*c^3*d^2 + 2*a^2*c^2*d^3 + c*d^4)*x^3 + 15*(a^4*c^4*d + 2*a^2*c^3*d^2 + c^2*d^3)*x)*sqrt(d*x^2 + c)*log(a*x + sqrt(a^2*x^2 - 1)) - (7*a^3*c^4*d + 5*a*c^3*d^2 + 2*(3*a^3*c^2*d^3 + 2*a*c*d^4)*x^4 + (13*a^3*c^3*d^2 + 9*a*c^2*d^3)*x^2)*sqrt(a^2*x^2 - 1)*sqrt(d*x^2 + c))/(a^4*c^8*d + 2*a^2*c^7*d^2 + c^6*d^3 + (a^4*c^5*d^4 + 2*a^2*c^4*d^5 + c^3*d^6)*x^6 + 3*(a^4*c^6*d^3 + 2*a^2*c^5*d^4 + c^4*d^5)*x^4 + 3*(a^4*c^7*d^2 + 2*a^2*c^6*d^3 + c^5*d^4)*x^2)]","B",0
52,1,1752,0,1.264403," ","integrate(arccosh(a*x)/(d*x^2+c)^(9/2),x, algorithm=""fricas"")","\left[\frac{12 \, {\left(a^{6} c^{7} + 3 \, a^{4} c^{6} d + 3 \, a^{2} c^{5} d^{2} + {\left(a^{6} c^{3} d^{4} + 3 \, a^{4} c^{2} d^{5} + 3 \, a^{2} c d^{6} + d^{7}\right)} x^{8} + c^{4} d^{3} + 4 \, {\left(a^{6} c^{4} d^{3} + 3 \, a^{4} c^{3} d^{4} + 3 \, a^{2} c^{2} d^{5} + c d^{6}\right)} x^{6} + 6 \, {\left(a^{6} c^{5} d^{2} + 3 \, a^{4} c^{4} d^{3} + 3 \, a^{2} c^{3} d^{4} + c^{2} d^{5}\right)} x^{4} + 4 \, {\left(a^{6} c^{6} d + 3 \, a^{4} c^{5} d^{2} + 3 \, a^{2} c^{4} d^{3} + c^{3} d^{4}\right)} x^{2}\right)} \sqrt{d} \log\left(8 \, a^{4} d^{2} x^{4} + a^{4} c^{2} - 6 \, a^{2} c d + 8 \, {\left(a^{4} c d - a^{2} d^{2}\right)} x^{2} - 4 \, {\left(2 \, a^{3} d x^{2} + a^{3} c - a d\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{d x^{2} + c} \sqrt{d} + d^{2}\right) + 3 \, {\left(16 \, {\left(a^{6} c^{3} d^{4} + 3 \, a^{4} c^{2} d^{5} + 3 \, a^{2} c d^{6} + d^{7}\right)} x^{7} + 56 \, {\left(a^{6} c^{4} d^{3} + 3 \, a^{4} c^{3} d^{4} + 3 \, a^{2} c^{2} d^{5} + c d^{6}\right)} x^{5} + 70 \, {\left(a^{6} c^{5} d^{2} + 3 \, a^{4} c^{4} d^{3} + 3 \, a^{2} c^{3} d^{4} + c^{2} d^{5}\right)} x^{3} + 35 \, {\left(a^{6} c^{6} d + 3 \, a^{4} c^{5} d^{2} + 3 \, a^{2} c^{4} d^{3} + c^{3} d^{4}\right)} x\right)} \sqrt{d x^{2} + c} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - {\left(57 \, a^{5} c^{6} d + 82 \, a^{3} c^{5} d^{2} + 33 \, a c^{4} d^{3} + 4 \, {\left(11 \, a^{5} c^{3} d^{4} + 15 \, a^{3} c^{2} d^{5} + 6 \, a c d^{6}\right)} x^{6} + 2 \, {\left(71 \, a^{5} c^{4} d^{3} + 98 \, a^{3} c^{3} d^{4} + 39 \, a c^{2} d^{5}\right)} x^{4} + {\left(155 \, a^{5} c^{5} d^{2} + 218 \, a^{3} c^{4} d^{3} + 87 \, a c^{3} d^{4}\right)} x^{2}\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{d x^{2} + c}}{105 \, {\left(a^{6} c^{11} d + 3 \, a^{4} c^{10} d^{2} + 3 \, a^{2} c^{9} d^{3} + c^{8} d^{4} + {\left(a^{6} c^{7} d^{5} + 3 \, a^{4} c^{6} d^{6} + 3 \, a^{2} c^{5} d^{7} + c^{4} d^{8}\right)} x^{8} + 4 \, {\left(a^{6} c^{8} d^{4} + 3 \, a^{4} c^{7} d^{5} + 3 \, a^{2} c^{6} d^{6} + c^{5} d^{7}\right)} x^{6} + 6 \, {\left(a^{6} c^{9} d^{3} + 3 \, a^{4} c^{8} d^{4} + 3 \, a^{2} c^{7} d^{5} + c^{6} d^{6}\right)} x^{4} + 4 \, {\left(a^{6} c^{10} d^{2} + 3 \, a^{4} c^{9} d^{3} + 3 \, a^{2} c^{8} d^{4} + c^{7} d^{5}\right)} x^{2}\right)}}, \frac{24 \, {\left(a^{6} c^{7} + 3 \, a^{4} c^{6} d + 3 \, a^{2} c^{5} d^{2} + {\left(a^{6} c^{3} d^{4} + 3 \, a^{4} c^{2} d^{5} + 3 \, a^{2} c d^{6} + d^{7}\right)} x^{8} + c^{4} d^{3} + 4 \, {\left(a^{6} c^{4} d^{3} + 3 \, a^{4} c^{3} d^{4} + 3 \, a^{2} c^{2} d^{5} + c d^{6}\right)} x^{6} + 6 \, {\left(a^{6} c^{5} d^{2} + 3 \, a^{4} c^{4} d^{3} + 3 \, a^{2} c^{3} d^{4} + c^{2} d^{5}\right)} x^{4} + 4 \, {\left(a^{6} c^{6} d + 3 \, a^{4} c^{5} d^{2} + 3 \, a^{2} c^{4} d^{3} + c^{3} d^{4}\right)} x^{2}\right)} \sqrt{-d} \arctan\left(\frac{{\left(2 \, a^{2} d x^{2} + a^{2} c - d\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{d x^{2} + c} \sqrt{-d}}{2 \, {\left(a^{3} d^{2} x^{4} - a c d + {\left(a^{3} c d - a d^{2}\right)} x^{2}\right)}}\right) + 3 \, {\left(16 \, {\left(a^{6} c^{3} d^{4} + 3 \, a^{4} c^{2} d^{5} + 3 \, a^{2} c d^{6} + d^{7}\right)} x^{7} + 56 \, {\left(a^{6} c^{4} d^{3} + 3 \, a^{4} c^{3} d^{4} + 3 \, a^{2} c^{2} d^{5} + c d^{6}\right)} x^{5} + 70 \, {\left(a^{6} c^{5} d^{2} + 3 \, a^{4} c^{4} d^{3} + 3 \, a^{2} c^{3} d^{4} + c^{2} d^{5}\right)} x^{3} + 35 \, {\left(a^{6} c^{6} d + 3 \, a^{4} c^{5} d^{2} + 3 \, a^{2} c^{4} d^{3} + c^{3} d^{4}\right)} x\right)} \sqrt{d x^{2} + c} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - {\left(57 \, a^{5} c^{6} d + 82 \, a^{3} c^{5} d^{2} + 33 \, a c^{4} d^{3} + 4 \, {\left(11 \, a^{5} c^{3} d^{4} + 15 \, a^{3} c^{2} d^{5} + 6 \, a c d^{6}\right)} x^{6} + 2 \, {\left(71 \, a^{5} c^{4} d^{3} + 98 \, a^{3} c^{3} d^{4} + 39 \, a c^{2} d^{5}\right)} x^{4} + {\left(155 \, a^{5} c^{5} d^{2} + 218 \, a^{3} c^{4} d^{3} + 87 \, a c^{3} d^{4}\right)} x^{2}\right)} \sqrt{a^{2} x^{2} - 1} \sqrt{d x^{2} + c}}{105 \, {\left(a^{6} c^{11} d + 3 \, a^{4} c^{10} d^{2} + 3 \, a^{2} c^{9} d^{3} + c^{8} d^{4} + {\left(a^{6} c^{7} d^{5} + 3 \, a^{4} c^{6} d^{6} + 3 \, a^{2} c^{5} d^{7} + c^{4} d^{8}\right)} x^{8} + 4 \, {\left(a^{6} c^{8} d^{4} + 3 \, a^{4} c^{7} d^{5} + 3 \, a^{2} c^{6} d^{6} + c^{5} d^{7}\right)} x^{6} + 6 \, {\left(a^{6} c^{9} d^{3} + 3 \, a^{4} c^{8} d^{4} + 3 \, a^{2} c^{7} d^{5} + c^{6} d^{6}\right)} x^{4} + 4 \, {\left(a^{6} c^{10} d^{2} + 3 \, a^{4} c^{9} d^{3} + 3 \, a^{2} c^{8} d^{4} + c^{7} d^{5}\right)} x^{2}\right)}}\right]"," ",0,"[1/105*(12*(a^6*c^7 + 3*a^4*c^6*d + 3*a^2*c^5*d^2 + (a^6*c^3*d^4 + 3*a^4*c^2*d^5 + 3*a^2*c*d^6 + d^7)*x^8 + c^4*d^3 + 4*(a^6*c^4*d^3 + 3*a^4*c^3*d^4 + 3*a^2*c^2*d^5 + c*d^6)*x^6 + 6*(a^6*c^5*d^2 + 3*a^4*c^4*d^3 + 3*a^2*c^3*d^4 + c^2*d^5)*x^4 + 4*(a^6*c^6*d + 3*a^4*c^5*d^2 + 3*a^2*c^4*d^3 + c^3*d^4)*x^2)*sqrt(d)*log(8*a^4*d^2*x^4 + a^4*c^2 - 6*a^2*c*d + 8*(a^4*c*d - a^2*d^2)*x^2 - 4*(2*a^3*d*x^2 + a^3*c - a*d)*sqrt(a^2*x^2 - 1)*sqrt(d*x^2 + c)*sqrt(d) + d^2) + 3*(16*(a^6*c^3*d^4 + 3*a^4*c^2*d^5 + 3*a^2*c*d^6 + d^7)*x^7 + 56*(a^6*c^4*d^3 + 3*a^4*c^3*d^4 + 3*a^2*c^2*d^5 + c*d^6)*x^5 + 70*(a^6*c^5*d^2 + 3*a^4*c^4*d^3 + 3*a^2*c^3*d^4 + c^2*d^5)*x^3 + 35*(a^6*c^6*d + 3*a^4*c^5*d^2 + 3*a^2*c^4*d^3 + c^3*d^4)*x)*sqrt(d*x^2 + c)*log(a*x + sqrt(a^2*x^2 - 1)) - (57*a^5*c^6*d + 82*a^3*c^5*d^2 + 33*a*c^4*d^3 + 4*(11*a^5*c^3*d^4 + 15*a^3*c^2*d^5 + 6*a*c*d^6)*x^6 + 2*(71*a^5*c^4*d^3 + 98*a^3*c^3*d^4 + 39*a*c^2*d^5)*x^4 + (155*a^5*c^5*d^2 + 218*a^3*c^4*d^3 + 87*a*c^3*d^4)*x^2)*sqrt(a^2*x^2 - 1)*sqrt(d*x^2 + c))/(a^6*c^11*d + 3*a^4*c^10*d^2 + 3*a^2*c^9*d^3 + c^8*d^4 + (a^6*c^7*d^5 + 3*a^4*c^6*d^6 + 3*a^2*c^5*d^7 + c^4*d^8)*x^8 + 4*(a^6*c^8*d^4 + 3*a^4*c^7*d^5 + 3*a^2*c^6*d^6 + c^5*d^7)*x^6 + 6*(a^6*c^9*d^3 + 3*a^4*c^8*d^4 + 3*a^2*c^7*d^5 + c^6*d^6)*x^4 + 4*(a^6*c^10*d^2 + 3*a^4*c^9*d^3 + 3*a^2*c^8*d^4 + c^7*d^5)*x^2), 1/105*(24*(a^6*c^7 + 3*a^4*c^6*d + 3*a^2*c^5*d^2 + (a^6*c^3*d^4 + 3*a^4*c^2*d^5 + 3*a^2*c*d^6 + d^7)*x^8 + c^4*d^3 + 4*(a^6*c^4*d^3 + 3*a^4*c^3*d^4 + 3*a^2*c^2*d^5 + c*d^6)*x^6 + 6*(a^6*c^5*d^2 + 3*a^4*c^4*d^3 + 3*a^2*c^3*d^4 + c^2*d^5)*x^4 + 4*(a^6*c^6*d + 3*a^4*c^5*d^2 + 3*a^2*c^4*d^3 + c^3*d^4)*x^2)*sqrt(-d)*arctan(1/2*(2*a^2*d*x^2 + a^2*c - d)*sqrt(a^2*x^2 - 1)*sqrt(d*x^2 + c)*sqrt(-d)/(a^3*d^2*x^4 - a*c*d + (a^3*c*d - a*d^2)*x^2)) + 3*(16*(a^6*c^3*d^4 + 3*a^4*c^2*d^5 + 3*a^2*c*d^6 + d^7)*x^7 + 56*(a^6*c^4*d^3 + 3*a^4*c^3*d^4 + 3*a^2*c^2*d^5 + c*d^6)*x^5 + 70*(a^6*c^5*d^2 + 3*a^4*c^4*d^3 + 3*a^2*c^3*d^4 + c^2*d^5)*x^3 + 35*(a^6*c^6*d + 3*a^4*c^5*d^2 + 3*a^2*c^4*d^3 + c^3*d^4)*x)*sqrt(d*x^2 + c)*log(a*x + sqrt(a^2*x^2 - 1)) - (57*a^5*c^6*d + 82*a^3*c^5*d^2 + 33*a*c^4*d^3 + 4*(11*a^5*c^3*d^4 + 15*a^3*c^2*d^5 + 6*a*c*d^6)*x^6 + 2*(71*a^5*c^4*d^3 + 98*a^3*c^3*d^4 + 39*a*c^2*d^5)*x^4 + (155*a^5*c^5*d^2 + 218*a^3*c^4*d^3 + 87*a*c^3*d^4)*x^2)*sqrt(a^2*x^2 - 1)*sqrt(d*x^2 + c))/(a^6*c^11*d + 3*a^4*c^10*d^2 + 3*a^2*c^9*d^3 + c^8*d^4 + (a^6*c^7*d^5 + 3*a^4*c^6*d^6 + 3*a^2*c^5*d^7 + c^4*d^8)*x^8 + 4*(a^6*c^8*d^4 + 3*a^4*c^7*d^5 + 3*a^2*c^6*d^6 + c^5*d^7)*x^6 + 6*(a^6*c^9*d^3 + 3*a^4*c^8*d^4 + 3*a^2*c^7*d^5 + c^6*d^6)*x^4 + 4*(a^6*c^10*d^2 + 3*a^4*c^9*d^3 + 3*a^2*c^8*d^4 + c^7*d^5)*x^2)]","B",0
53,0,0,0,0.605671," ","integrate((g*x+f)^3*(a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(a g^{3} x^{3} + 3 \, a f g^{2} x^{2} + 3 \, a f^{2} g x + a f^{3} + {\left(b g^{3} x^{3} + 3 \, b f g^{2} x^{2} + 3 \, b f^{2} g x + b f^{3}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a*g^3*x^3 + 3*a*f*g^2*x^2 + 3*a*f^2*g*x + a*f^3 + (b*g^3*x^3 + 3*b*f*g^2*x^2 + 3*b*f^2*g*x + b*f^3)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
54,0,0,0,0.679255," ","integrate((g*x+f)^2*(a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} {\left(a g^{2} x^{2} + 2 \, a f g x + a f^{2} + {\left(b g^{2} x^{2} + 2 \, b f g x + b f^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(a*g^2*x^2 + 2*a*f*g*x + a*f^2 + (b*g^2*x^2 + 2*b*f*g*x + b*f^2)*arccosh(c*x)), x)","F",0
55,0,0,0,0.624212," ","integrate((g*x+f)*(a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} {\left(a g x + a f + {\left(b g x + b f\right)} \operatorname{arcosh}\left(c x\right)\right)}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(a*g*x + a*f + (b*g*x + b*f)*arccosh(c*x)), x)","F",0
56,0,0,0,0.711774," ","integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{g x + f}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(g*x + f), x)","F",0
57,0,0,0,0.625711," ","integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{g^{2} x^{2} + 2 \, f g x + f^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
58,0,0,0,0.956210," ","integrate((g*x+f)^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{2} d g^{3} x^{5} + 3 \, a c^{2} d f g^{2} x^{4} - 3 \, a d f^{2} g x - a d f^{3} + {\left(3 \, a c^{2} d f^{2} g - a d g^{3}\right)} x^{3} + {\left(a c^{2} d f^{3} - 3 \, a d f g^{2}\right)} x^{2} + {\left(b c^{2} d g^{3} x^{5} + 3 \, b c^{2} d f g^{2} x^{4} - 3 \, b d f^{2} g x - b d f^{3} + {\left(3 \, b c^{2} d f^{2} g - b d g^{3}\right)} x^{3} + {\left(b c^{2} d f^{3} - 3 \, b d f g^{2}\right)} x^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a*c^2*d*g^3*x^5 + 3*a*c^2*d*f*g^2*x^4 - 3*a*d*f^2*g*x - a*d*f^3 + (3*a*c^2*d*f^2*g - a*d*g^3)*x^3 + (a*c^2*d*f^3 - 3*a*d*f*g^2)*x^2 + (b*c^2*d*g^3*x^5 + 3*b*c^2*d*f*g^2*x^4 - 3*b*d*f^2*g*x - b*d*f^3 + (3*b*c^2*d*f^2*g - b*d*g^3)*x^3 + (b*c^2*d*f^3 - 3*b*d*f*g^2)*x^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
59,0,0,0,0.605542," ","integrate((g*x+f)^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{2} d g^{2} x^{4} + 2 \, a c^{2} d f g x^{3} - 2 \, a d f g x - a d f^{2} + {\left(a c^{2} d f^{2} - a d g^{2}\right)} x^{2} + {\left(b c^{2} d g^{2} x^{4} + 2 \, b c^{2} d f g x^{3} - 2 \, b d f g x - b d f^{2} + {\left(b c^{2} d f^{2} - b d g^{2}\right)} x^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a*c^2*d*g^2*x^4 + 2*a*c^2*d*f*g*x^3 - 2*a*d*f*g*x - a*d*f^2 + (a*c^2*d*f^2 - a*d*g^2)*x^2 + (b*c^2*d*g^2*x^4 + 2*b*c^2*d*f*g*x^3 - 2*b*d*f*g*x - b*d*f^2 + (b*c^2*d*f^2 - b*d*g^2)*x^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
60,0,0,0,0.704145," ","integrate((g*x+f)*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{2} d g x^{3} + a c^{2} d f x^{2} - a d g x - a d f + {\left(b c^{2} d g x^{3} + b c^{2} d f x^{2} - b d g x - b d f\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a*c^2*d*g*x^3 + a*c^2*d*f*x^2 - a*d*g*x - a*d*f + (b*c^2*d*g*x^3 + b*c^2*d*f*x^2 - b*d*g*x - b*d*f)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
61,0,0,0,0.527565," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a c^{2} d x^{2} - a d + {\left(b c^{2} d x^{2} - b d\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{g x + f}, x\right)"," ",0,"integral(-(a*c^2*d*x^2 - a*d + (b*c^2*d*x^2 - b*d)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/(g*x + f), x)","F",0
62,0,0,0,0.763208," ","integrate((g*x+f)^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} g^{3} x^{7} + 3 \, a c^{4} d^{2} f g^{2} x^{6} + 3 \, a d^{2} f^{2} g x + a d^{2} f^{3} + {\left(3 \, a c^{4} d^{2} f^{2} g - 2 \, a c^{2} d^{2} g^{3}\right)} x^{5} + {\left(a c^{4} d^{2} f^{3} - 6 \, a c^{2} d^{2} f g^{2}\right)} x^{4} - {\left(6 \, a c^{2} d^{2} f^{2} g - a d^{2} g^{3}\right)} x^{3} - {\left(2 \, a c^{2} d^{2} f^{3} - 3 \, a d^{2} f g^{2}\right)} x^{2} + {\left(b c^{4} d^{2} g^{3} x^{7} + 3 \, b c^{4} d^{2} f g^{2} x^{6} + 3 \, b d^{2} f^{2} g x + b d^{2} f^{3} + {\left(3 \, b c^{4} d^{2} f^{2} g - 2 \, b c^{2} d^{2} g^{3}\right)} x^{5} + {\left(b c^{4} d^{2} f^{3} - 6 \, b c^{2} d^{2} f g^{2}\right)} x^{4} - {\left(6 \, b c^{2} d^{2} f^{2} g - b d^{2} g^{3}\right)} x^{3} - {\left(2 \, b c^{2} d^{2} f^{3} - 3 \, b d^{2} f g^{2}\right)} x^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a*c^4*d^2*g^3*x^7 + 3*a*c^4*d^2*f*g^2*x^6 + 3*a*d^2*f^2*g*x + a*d^2*f^3 + (3*a*c^4*d^2*f^2*g - 2*a*c^2*d^2*g^3)*x^5 + (a*c^4*d^2*f^3 - 6*a*c^2*d^2*f*g^2)*x^4 - (6*a*c^2*d^2*f^2*g - a*d^2*g^3)*x^3 - (2*a*c^2*d^2*f^3 - 3*a*d^2*f*g^2)*x^2 + (b*c^4*d^2*g^3*x^7 + 3*b*c^4*d^2*f*g^2*x^6 + 3*b*d^2*f^2*g*x + b*d^2*f^3 + (3*b*c^4*d^2*f^2*g - 2*b*c^2*d^2*g^3)*x^5 + (b*c^4*d^2*f^3 - 6*b*c^2*d^2*f*g^2)*x^4 - (6*b*c^2*d^2*f^2*g - b*d^2*g^3)*x^3 - (2*b*c^2*d^2*f^3 - 3*b*d^2*f*g^2)*x^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
63,0,0,0,0.576247," ","integrate((g*x+f)^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} g^{2} x^{6} + 2 \, a c^{4} d^{2} f g x^{5} - 4 \, a c^{2} d^{2} f g x^{3} + 2 \, a d^{2} f g x + a d^{2} f^{2} + {\left(a c^{4} d^{2} f^{2} - 2 \, a c^{2} d^{2} g^{2}\right)} x^{4} - {\left(2 \, a c^{2} d^{2} f^{2} - a d^{2} g^{2}\right)} x^{2} + {\left(b c^{4} d^{2} g^{2} x^{6} + 2 \, b c^{4} d^{2} f g x^{5} - 4 \, b c^{2} d^{2} f g x^{3} + 2 \, b d^{2} f g x + b d^{2} f^{2} + {\left(b c^{4} d^{2} f^{2} - 2 \, b c^{2} d^{2} g^{2}\right)} x^{4} - {\left(2 \, b c^{2} d^{2} f^{2} - b d^{2} g^{2}\right)} x^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a*c^4*d^2*g^2*x^6 + 2*a*c^4*d^2*f*g*x^5 - 4*a*c^2*d^2*f*g*x^3 + 2*a*d^2*f*g*x + a*d^2*f^2 + (a*c^4*d^2*f^2 - 2*a*c^2*d^2*g^2)*x^4 - (2*a*c^2*d^2*f^2 - a*d^2*g^2)*x^2 + (b*c^4*d^2*g^2*x^6 + 2*b*c^4*d^2*f*g*x^5 - 4*b*c^2*d^2*f*g*x^3 + 2*b*d^2*f*g*x + b*d^2*f^2 + (b*c^4*d^2*f^2 - 2*b*c^2*d^2*g^2)*x^4 - (2*b*c^2*d^2*f^2 - b*d^2*g^2)*x^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
64,0,0,0,0.611212," ","integrate((g*x+f)*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} g x^{5} + a c^{4} d^{2} f x^{4} - 2 \, a c^{2} d^{2} g x^{3} - 2 \, a c^{2} d^{2} f x^{2} + a d^{2} g x + a d^{2} f + {\left(b c^{4} d^{2} g x^{5} + b c^{4} d^{2} f x^{4} - 2 \, b c^{2} d^{2} g x^{3} - 2 \, b c^{2} d^{2} f x^{2} + b d^{2} g x + b d^{2} f\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a*c^4*d^2*g*x^5 + a*c^4*d^2*f*x^4 - 2*a*c^2*d^2*g*x^3 - 2*a*c^2*d^2*f*x^2 + a*d^2*g*x + a*d^2*f + (b*c^4*d^2*g*x^5 + b*c^4*d^2*f*x^4 - 2*b*c^2*d^2*g*x^3 - 2*b*c^2*d^2*f*x^2 + b*d^2*g*x + b*d^2*f)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
65,0,0,0,0.656721," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a c^{4} d^{2} x^{4} - 2 \, a c^{2} d^{2} x^{2} + a d^{2} + {\left(b c^{4} d^{2} x^{4} - 2 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{g x + f}, x\right)"," ",0,"integral((a*c^4*d^2*x^4 - 2*a*c^2*d^2*x^2 + a*d^2 + (b*c^4*d^2*x^4 - 2*b*c^2*d^2*x^2 + b*d^2)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/(g*x + f), x)","F",0
66,0,0,0,0.628338," ","integrate((g*x+f)^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a g^{3} x^{3} + 3 \, a f g^{2} x^{2} + 3 \, a f^{2} g x + a f^{3} + {\left(b g^{3} x^{3} + 3 \, b f g^{2} x^{2} + 3 \, b f^{2} g x + b f^{3}\right)} \operatorname{arcosh}\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-(a*g^3*x^3 + 3*a*f*g^2*x^2 + 3*a*f^2*g*x + a*f^3 + (b*g^3*x^3 + 3*b*f*g^2*x^2 + 3*b*f^2*g*x + b*f^3)*arccosh(c*x))*sqrt(-c^2*d*x^2 + d)/(c^2*d*x^2 - d), x)","F",0
67,0,0,0,1.076543," ","integrate((g*x+f)^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(a g^{2} x^{2} + 2 \, a f g x + a f^{2} + {\left(b g^{2} x^{2} + 2 \, b f g x + b f^{2}\right)} \operatorname{arcosh}\left(c x\right)\right)}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(a*g^2*x^2 + 2*a*f*g*x + a*f^2 + (b*g^2*x^2 + 2*b*f*g*x + b*f^2)*arccosh(c*x))/(c^2*d*x^2 - d), x)","F",0
68,0,0,0,0.579689," ","integrate((g*x+f)*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(a g x + a f + {\left(b g x + b f\right)} \operatorname{arcosh}\left(c x\right)\right)}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(a*g*x + a*f + (b*g*x + b*f)*arccosh(c*x))/(c^2*d*x^2 - d), x)","F",0
69,0,0,0,0.670164," ","integrate((a+b*arccosh(c*x))/(g*x+f)/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{2} d g x^{3} + c^{2} d f x^{2} - d g x - d f}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^2*d*g*x^3 + c^2*d*f*x^2 - d*g*x - d*f), x)","F",0
70,0,0,0,0.659127," ","integrate((a+b*arccosh(c*x))/(g*x+f)^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{2} d g^{2} x^{4} + 2 \, c^{2} d f g x^{3} - 2 \, d f g x - d f^{2} + {\left(c^{2} d f^{2} - d g^{2}\right)} x^{2}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^2*d*g^2*x^4 + 2*c^2*d*f*g*x^3 - 2*d*f*g*x - d*f^2 + (c^2*d*f^2 - d*g^2)*x^2), x)","F",0
71,0,0,0,1.590520," ","integrate((g*x+f)^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a g^{3} x^{3} + 3 \, a f g^{2} x^{2} + 3 \, a f^{2} g x + a f^{3} + {\left(b g^{3} x^{3} + 3 \, b f g^{2} x^{2} + 3 \, b f^{2} g x + b f^{3}\right)} \operatorname{arcosh}\left(c x\right)\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((a*g^3*x^3 + 3*a*f*g^2*x^2 + 3*a*f^2*g*x + a*f^3 + (b*g^3*x^3 + 3*b*f*g^2*x^2 + 3*b*f^2*g*x + b*f^3)*arccosh(c*x))*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
72,0,0,0,1.516214," ","integrate((g*x+f)^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(a g^{2} x^{2} + 2 \, a f g x + a f^{2} + {\left(b g^{2} x^{2} + 2 \, b f g x + b f^{2}\right)} \operatorname{arcosh}\left(c x\right)\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)*(a*g^2*x^2 + 2*a*f*g*x + a*f^2 + (b*g^2*x^2 + 2*b*f*g*x + b*f^2)*arccosh(c*x))/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
73,0,0,0,2.246057," ","integrate((g*x+f)*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(a g x + a f + {\left(b g x + b f\right)} \operatorname{arcosh}\left(c x\right)\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)*(a*g*x + a*f + (b*g*x + b*f)*arccosh(c*x))/(c^4*d^2*x^4 - 2*c^2*d^2*x^2 + d^2), x)","F",0
74,0,0,0,0.793721," ","integrate((a+b*arccosh(c*x))/(g*x+f)/(-c^2*d*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}}{c^{4} d^{2} g x^{5} + c^{4} d^{2} f x^{4} - 2 \, c^{2} d^{2} g x^{3} - 2 \, c^{2} d^{2} f x^{2} + d^{2} g x + d^{2} f}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccosh(c*x) + a)/(c^4*d^2*g*x^5 + c^4*d^2*f*x^4 - 2*c^2*d^2*g*x^3 - 2*c^2*d^2*f*x^2 + d^2*g*x + d^2*f), x)","F",0
75,0,0,0,0.681797," ","integrate((g*x+f)*(a+b*arccosh(c*x))^n/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(g x + f\right)} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(g*x + f)*(b*arccosh(c*x) + a)^n/(c^2*x^2 - 1), x)","F",0
76,0,0,0,0.752912," ","integrate((g*x+f)*(a+b*arccosh(c*x))^n/(-c*x+1)^(1/2)/(c*x+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{c x + 1} \sqrt{-c x + 1} {\left(g x + f\right)} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(c*x + 1)*sqrt(-c*x + 1)*(g*x + f)*(b*arccosh(c*x) + a)^n/(c^2*x^2 - 1), x)","F",0
77,0,0,0,1.171355," ","integrate((g*x+f)*(a+b*arccosh(c*x))^n/(c*d1*x+d1)^(1/2)/(-c*d2*x+d2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{c d_{1} x + d_{1}} \sqrt{-c d_{2} x + d_{2}} {\left(g x + f\right)} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n}}{c^{2} d_{1} d_{2} x^{2} - d_{1} d_{2}}, x\right)"," ",0,"integral(-sqrt(c*d1*x + d1)*sqrt(-c*d2*x + d2)*(g*x + f)*(b*arccosh(c*x) + a)^n/(c^2*d1*d2*x^2 - d1*d2), x)","F",0
78,0,0,0,0.724082," ","integrate((a+b*arccosh(c*x))^n*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)}^{n} \log\left({\left(g x + f\right)}^{m} h\right)}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(b*arccosh(c*x) + a)^n*log((g*x + f)^m*h)/(c^2*x^2 - 1), x)","F",0
79,0,0,0,0.498764," ","integrate((a+b*arccosh(c*x))^2*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(b^{2} \operatorname{arcosh}\left(c x\right)^{2} + 2 \, a b \operatorname{arcosh}\left(c x\right) + a^{2}\right)} \log\left({\left(g x + f\right)}^{m} h\right)}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(b^2*arccosh(c*x)^2 + 2*a*b*arccosh(c*x) + a^2)*log((g*x + f)^m*h)/(c^2*x^2 - 1), x)","F",0
80,0,0,0,0.485457," ","integrate((a+b*arccosh(c*x))*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(b \operatorname{arcosh}\left(c x\right) + a\right)} \log\left({\left(g x + f\right)}^{m} h\right)}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(b*arccosh(c*x) + a)*log((g*x + f)^m*h)/(c^2*x^2 - 1), x)","F",0
81,0,0,0,0.595502," ","integrate(log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} \log\left({\left(g x + f\right)}^{m} h\right)}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*log((g*x + f)^m*h)/(c^2*x^2 - 1), x)","F",0
82,0,0,0,0.699239," ","integrate(log(h*(g*x+f)^m)/(a+b*arccosh(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} \log\left({\left(g x + f\right)}^{m} h\right)}{a c^{2} x^{2} + {\left(b c^{2} x^{2} - b\right)} \operatorname{arcosh}\left(c x\right) - a}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*log((g*x + f)^m*h)/(a*c^2*x^2 + (b*c^2*x^2 - b)*arccosh(c*x) - a), x)","F",0
83,1,110,0,0.523182," ","integrate(x^3*arccosh(b*x+a),x, algorithm=""fricas"")","\frac{3 \, {\left(8 \, b^{4} x^{4} - 8 \, a^{4} - 24 \, a^{2} - 3\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) - {\left(6 \, b^{3} x^{3} - 14 \, a b^{2} x^{2} - 50 \, a^{3} + {\left(26 \, a^{2} + 9\right)} b x - 55 \, a\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}}{96 \, b^{4}}"," ",0,"1/96*(3*(8*b^4*x^4 - 8*a^4 - 24*a^2 - 3)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)) - (6*b^3*x^3 - 14*a*b^2*x^2 - 50*a^3 + (26*a^2 + 9)*b*x - 55*a)*sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))/b^4","A",0
84,1,91,0,0.632828," ","integrate(x^2*arccosh(b*x+a),x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} + 3 \, a\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) - {\left(2 \, b^{2} x^{2} - 5 \, a b x + 11 \, a^{2} + 4\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}}{18 \, b^{3}}"," ",0,"1/18*(3*(2*b^3*x^3 + 2*a^3 + 3*a)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)) - (2*b^2*x^2 - 5*a*b*x + 11*a^2 + 4)*sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))/b^3","A",0
85,1,75,0,0.739372," ","integrate(x*arccosh(b*x+a),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} x^{2} - 2 \, a^{2} - 1\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1} {\left(b x - 3 \, a\right)}}{4 \, b^{2}}"," ",0,"1/4*((2*b^2*x^2 - 2*a^2 - 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)*(b*x - 3*a))/b^2","A",0
86,1,57,0,0.540448," ","integrate(arccosh(b*x+a),x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}}{b}"," ",0,"((b*x + a)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))/b","A",0
87,0,0,0,0.717209," ","integrate(arccosh(b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arcosh}\left(b x + a\right)}{x}, x\right)"," ",0,"integral(arccosh(b*x + a)/x, x)","F",0
88,1,322,0,0.694619," ","integrate(arccosh(b*x+a)/x^2,x, algorithm=""fricas"")","\left[\frac{\sqrt{a^{2} - 1} b x \log\left(\frac{a^{2} b x + a^{3} + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1} {\left(a^{2} - \sqrt{a^{2} - 1} a - 1\right)} - {\left(a b x + a^{2} - 1\right)} \sqrt{a^{2} - 1} - a}{x}\right) + {\left(a^{2} - 1\right)} x \log\left(-b x - a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) - {\left(a^{2} - {\left(a^{2} - 1\right)} x - 1\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)}{{\left(a^{2} - 1\right)} x}, \frac{2 \, \sqrt{-a^{2} + 1} b x \arctan\left(-\frac{\sqrt{-a^{2} + 1} b x - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1} \sqrt{-a^{2} + 1}}{a^{2} - 1}\right) + {\left(a^{2} - 1\right)} x \log\left(-b x - a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) - {\left(a^{2} - {\left(a^{2} - 1\right)} x - 1\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)}{{\left(a^{2} - 1\right)} x}\right]"," ",0,"[(sqrt(a^2 - 1)*b*x*log((a^2*b*x + a^3 + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)*(a^2 - sqrt(a^2 - 1)*a - 1) - (a*b*x + a^2 - 1)*sqrt(a^2 - 1) - a)/x) + (a^2 - 1)*x*log(-b*x - a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)) - (a^2 - (a^2 - 1)*x - 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)))/((a^2 - 1)*x), (2*sqrt(-a^2 + 1)*b*x*arctan(-(sqrt(-a^2 + 1)*b*x - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)*sqrt(-a^2 + 1))/(a^2 - 1)) + (a^2 - 1)*x*log(-b*x - a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)) - (a^2 - (a^2 - 1)*x - 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)))/((a^2 - 1)*x)]","B",0
89,1,460,0,0.679041," ","integrate(arccosh(b*x+a)/x^3,x, algorithm=""fricas"")","\left[\frac{\sqrt{a^{2} - 1} a b^{2} x^{2} \log\left(\frac{a^{2} b x + a^{3} + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1} {\left(a^{2} + \sqrt{a^{2} - 1} a - 1\right)} + {\left(a b x + a^{2} - 1\right)} \sqrt{a^{2} - 1} - a}{x}\right) - {\left(a^{2} - 1\right)} b^{2} x^{2} + {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2} \log\left(-b x - a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1} {\left(a^{2} - 1\right)} b x - {\left(a^{4} - {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2} - 2 \, a^{2} + 1\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)}{2 \, {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2}}, -\frac{2 \, \sqrt{-a^{2} + 1} a b^{2} x^{2} \arctan\left(-\frac{\sqrt{-a^{2} + 1} b x - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1} \sqrt{-a^{2} + 1}}{a^{2} - 1}\right) + {\left(a^{2} - 1\right)} b^{2} x^{2} - {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2} \log\left(-b x - a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1} {\left(a^{2} - 1\right)} b x + {\left(a^{4} - {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2} - 2 \, a^{2} + 1\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right)}{2 \, {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2}}\right]"," ",0,"[1/2*(sqrt(a^2 - 1)*a*b^2*x^2*log((a^2*b*x + a^3 + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)*(a^2 + sqrt(a^2 - 1)*a - 1) + (a*b*x + a^2 - 1)*sqrt(a^2 - 1) - a)/x) - (a^2 - 1)*b^2*x^2 + (a^4 - 2*a^2 + 1)*x^2*log(-b*x - a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)) - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)*(a^2 - 1)*b*x - (a^4 - (a^4 - 2*a^2 + 1)*x^2 - 2*a^2 + 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)))/((a^4 - 2*a^2 + 1)*x^2), -1/2*(2*sqrt(-a^2 + 1)*a*b^2*x^2*arctan(-(sqrt(-a^2 + 1)*b*x - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)*sqrt(-a^2 + 1))/(a^2 - 1)) + (a^2 - 1)*b^2*x^2 - (a^4 - 2*a^2 + 1)*x^2*log(-b*x - a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)) + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)*(a^2 - 1)*b*x + (a^4 - (a^4 - 2*a^2 + 1)*x^2 - 2*a^2 + 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)))/((a^4 - 2*a^2 + 1)*x^2)]","B",0
90,1,566,0,0.637904," ","integrate(arccosh(b*x+a)/x^4,x, algorithm=""fricas"")","\left[\frac{{\left(2 \, a^{2} + 1\right)} \sqrt{a^{2} - 1} b^{3} x^{3} \log\left(\frac{a^{2} b x + a^{3} + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1} {\left(a^{2} - \sqrt{a^{2} - 1} a - 1\right)} - {\left(a b x + a^{2} - 1\right)} \sqrt{a^{2} - 1} - a}{x}\right) + 3 \, {\left(a^{3} - a\right)} b^{3} x^{3} + 2 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3} \log\left(-b x - a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) - 2 \, {\left(a^{6} - 3 \, a^{4} - {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3} + 3 \, a^{2} - 1\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) + {\left(3 \, {\left(a^{3} - a\right)} b^{2} x^{2} - {\left(a^{4} - 2 \, a^{2} + 1\right)} b x\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}}{6 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3}}, \frac{2 \, {\left(2 \, a^{2} + 1\right)} \sqrt{-a^{2} + 1} b^{3} x^{3} \arctan\left(-\frac{\sqrt{-a^{2} + 1} b x - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1} \sqrt{-a^{2} + 1}}{a^{2} - 1}\right) + 3 \, {\left(a^{3} - a\right)} b^{3} x^{3} + 2 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3} \log\left(-b x - a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) - 2 \, {\left(a^{6} - 3 \, a^{4} - {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3} + 3 \, a^{2} - 1\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) + {\left(3 \, {\left(a^{3} - a\right)} b^{2} x^{2} - {\left(a^{4} - 2 \, a^{2} + 1\right)} b x\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}}{6 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3}}\right]"," ",0,"[1/6*((2*a^2 + 1)*sqrt(a^2 - 1)*b^3*x^3*log((a^2*b*x + a^3 + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)*(a^2 - sqrt(a^2 - 1)*a - 1) - (a*b*x + a^2 - 1)*sqrt(a^2 - 1) - a)/x) + 3*(a^3 - a)*b^3*x^3 + 2*(a^6 - 3*a^4 + 3*a^2 - 1)*x^3*log(-b*x - a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)) - 2*(a^6 - 3*a^4 - (a^6 - 3*a^4 + 3*a^2 - 1)*x^3 + 3*a^2 - 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)) + (3*(a^3 - a)*b^2*x^2 - (a^4 - 2*a^2 + 1)*b*x)*sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))/((a^6 - 3*a^4 + 3*a^2 - 1)*x^3), 1/6*(2*(2*a^2 + 1)*sqrt(-a^2 + 1)*b^3*x^3*arctan(-(sqrt(-a^2 + 1)*b*x - sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)*sqrt(-a^2 + 1))/(a^2 - 1)) + 3*(a^3 - a)*b^3*x^3 + 2*(a^6 - 3*a^4 + 3*a^2 - 1)*x^3*log(-b*x - a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)) - 2*(a^6 - 3*a^4 - (a^6 - 3*a^4 + 3*a^2 - 1)*x^3 + 3*a^2 - 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1)) + (3*(a^3 - a)*b^2*x^2 - (a^4 - 2*a^2 + 1)*b*x)*sqrt(b^2*x^2 + 2*a*b*x + a^2 - 1))/((a^6 - 3*a^4 + 3*a^2 - 1)*x^3)]","B",0
91,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x+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
92,-2,0,0,0.000000," ","integrate(1/(a-b*arccosh(d*x+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
93,1,279,0,0.513885," ","integrate((d*e*x+c*e)^4*(a+b*arccosh(d*x+c)),x, algorithm=""fricas"")","\frac{15 \, a d^{5} e^{4} x^{5} + 75 \, a c d^{4} e^{4} x^{4} + 150 \, a c^{2} d^{3} e^{4} x^{3} + 150 \, a c^{3} d^{2} e^{4} x^{2} + 75 \, a c^{4} d e^{4} x + 15 \, {\left(b d^{5} e^{4} x^{5} + 5 \, b c d^{4} e^{4} x^{4} + 10 \, b c^{2} d^{3} e^{4} x^{3} + 10 \, b c^{3} d^{2} e^{4} x^{2} + 5 \, b c^{4} d e^{4} x + b c^{5} e^{4}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(3 \, b d^{4} e^{4} x^{4} + 12 \, b c d^{3} e^{4} x^{3} + 2 \, {\left(9 \, b c^{2} + 2 \, b\right)} d^{2} e^{4} x^{2} + 4 \, {\left(3 \, b c^{3} + 2 \, b c\right)} d e^{4} x + {\left(3 \, b c^{4} + 4 \, b c^{2} + 8 \, b\right)} e^{4}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{75 \, d}"," ",0,"1/75*(15*a*d^5*e^4*x^5 + 75*a*c*d^4*e^4*x^4 + 150*a*c^2*d^3*e^4*x^3 + 150*a*c^3*d^2*e^4*x^2 + 75*a*c^4*d*e^4*x + 15*(b*d^5*e^4*x^5 + 5*b*c*d^4*e^4*x^4 + 10*b*c^2*d^3*e^4*x^3 + 10*b*c^3*d^2*e^4*x^2 + 5*b*c^4*d*e^4*x + b*c^5*e^4)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (3*b*d^4*e^4*x^4 + 12*b*c*d^3*e^4*x^3 + 2*(9*b*c^2 + 2*b)*d^2*e^4*x^2 + 4*(3*b*c^3 + 2*b*c)*d*e^4*x + (3*b*c^4 + 4*b*c^2 + 8*b)*e^4)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","B",0
94,1,226,0,0.866965," ","integrate((d*e*x+c*e)^3*(a+b*arccosh(d*x+c)),x, algorithm=""fricas"")","\frac{8 \, a d^{4} e^{3} x^{4} + 32 \, a c d^{3} e^{3} x^{3} + 48 \, a c^{2} d^{2} e^{3} x^{2} + 32 \, a c^{3} d e^{3} x + {\left(8 \, b d^{4} e^{3} x^{4} + 32 \, b c d^{3} e^{3} x^{3} + 48 \, b c^{2} d^{2} e^{3} x^{2} + 32 \, b c^{3} d e^{3} x + {\left(8 \, b c^{4} - 3 \, b\right)} e^{3}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(2 \, b d^{3} e^{3} x^{3} + 6 \, b c d^{2} e^{3} x^{2} + 3 \, {\left(2 \, b c^{2} + b\right)} d e^{3} x + {\left(2 \, b c^{3} + 3 \, b c\right)} e^{3}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{32 \, d}"," ",0,"1/32*(8*a*d^4*e^3*x^4 + 32*a*c*d^3*e^3*x^3 + 48*a*c^2*d^2*e^3*x^2 + 32*a*c^3*d*e^3*x + (8*b*d^4*e^3*x^4 + 32*b*c*d^3*e^3*x^3 + 48*b*c^2*d^2*e^3*x^2 + 32*b*c^3*d*e^3*x + (8*b*c^4 - 3*b)*e^3)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (2*b*d^3*e^3*x^3 + 6*b*c*d^2*e^3*x^2 + 3*(2*b*c^2 + b)*d*e^3*x + (2*b*c^3 + 3*b*c)*e^3)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","B",0
95,1,168,0,0.515334," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+c)),x, algorithm=""fricas"")","\frac{3 \, a d^{3} e^{2} x^{3} + 9 \, a c d^{2} e^{2} x^{2} + 9 \, a c^{2} d e^{2} x + 3 \, {\left(b d^{3} e^{2} x^{3} + 3 \, b c d^{2} e^{2} x^{2} + 3 \, b c^{2} d e^{2} x + b c^{3} e^{2}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(b d^{2} e^{2} x^{2} + 2 \, b c d e^{2} x + {\left(b c^{2} + 2 \, b\right)} e^{2}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{9 \, d}"," ",0,"1/9*(3*a*d^3*e^2*x^3 + 9*a*c*d^2*e^2*x^2 + 9*a*c^2*d*e^2*x + 3*(b*d^3*e^2*x^3 + 3*b*c*d^2*e^2*x^2 + 3*b*c^2*d*e^2*x + b*c^3*e^2)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (b*d^2*e^2*x^2 + 2*b*c*d*e^2*x + (b*c^2 + 2*b)*e^2)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","B",0
96,1,110,0,0.491957," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+c)),x, algorithm=""fricas"")","\frac{2 \, a d^{2} e x^{2} + 4 \, a c d e x + {\left(2 \, b d^{2} e x^{2} + 4 \, b c d e x + {\left(2 \, b c^{2} - b\right)} e\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(b d e x + b c e\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{4 \, d}"," ",0,"1/4*(2*a*d^2*e*x^2 + 4*a*c*d*e*x + (2*b*d^2*e*x^2 + 4*b*c*d*e*x + (2*b*c^2 - b)*e)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (b*d*e*x + b*c*e)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","A",0
97,1,65,0,0.600596," ","integrate(a+b*arccosh(d*x+c),x, algorithm=""fricas"")","\frac{a d x + {\left(b d x + b c\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} b}{d}"," ",0,"(a*d*x + (b*d*x + b*c)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*b)/d","A",0
98,0,0,0,0.666349," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(d x + c\right) + a}{d e x + c e}, x\right)"," ",0,"integral((b*arccosh(d*x + c) + a)/(d*e*x + c*e), x)","F",0
99,1,133,0,0.823961," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^2,x, algorithm=""fricas"")","\frac{b d x \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - a c + 2 \, {\left(b c d x + b c^{2}\right)} \arctan\left(-d x - c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) + {\left(b d x + b c\right)} \log\left(-d x - c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)}{c d^{2} e^{2} x + c^{2} d e^{2}}"," ",0,"(b*d*x*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - a*c + 2*(b*c*d*x + b*c^2)*arctan(-d*x - c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) + (b*d*x + b*c)*log(-d*x - c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)))/(c*d^2*e^2*x + c^2*d*e^2)","B",0
100,1,117,0,0.470048," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^3,x, algorithm=""fricas"")","\frac{a d^{2} x^{2} + 2 \, a c d x - b c^{2} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) + {\left(b c^{2} d x + b c^{3}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{2 \, {\left(c^{2} d^{3} e^{3} x^{2} + 2 \, c^{3} d^{2} e^{3} x + c^{4} d e^{3}\right)}}"," ",0,"1/2*(a*d^2*x^2 + 2*a*c*d*x - b*c^2*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) + (b*c^2*d*x + b*c^3)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/(c^2*d^3*e^3*x^2 + 2*c^3*d^2*e^3*x + c^4*d*e^3)","B",0
101,1,276,0,0.984169," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^4,x, algorithm=""fricas"")","-\frac{2 \, a c^{3} - 2 \, {\left(b c^{3} d^{3} x^{3} + 3 \, b c^{4} d^{2} x^{2} + 3 \, b c^{5} d x + b c^{6}\right)} \arctan\left(-d x - c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 2 \, {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 2 \, {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(-d x - c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(b c^{3} d x + b c^{4}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{6 \, {\left(c^{3} d^{4} e^{4} x^{3} + 3 \, c^{4} d^{3} e^{4} x^{2} + 3 \, c^{5} d^{2} e^{4} x + c^{6} d e^{4}\right)}}"," ",0,"-1/6*(2*a*c^3 - 2*(b*c^3*d^3*x^3 + 3*b*c^4*d^2*x^2 + 3*b*c^5*d*x + b*c^6)*arctan(-d*x - c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 2*(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 2*(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(-d*x - c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (b*c^3*d*x + b*c^4)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/(c^3*d^4*e^4*x^3 + 3*c^4*d^3*e^4*x^2 + 3*c^5*d^2*e^4*x + c^6*d*e^4)","B",0
102,1,208,0,0.508295," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^5,x, algorithm=""fricas"")","\frac{3 \, a d^{4} x^{4} + 12 \, a c d^{3} x^{3} + 18 \, a c^{2} d^{2} x^{2} + 12 \, a c^{3} d x - 3 \, b c^{4} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) + {\left(2 \, b c^{4} d^{3} x^{3} + 6 \, b c^{5} d^{2} x^{2} + 2 \, b c^{7} + b c^{5} + {\left(6 \, b c^{6} + b c^{4}\right)} d x\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{12 \, {\left(c^{4} d^{5} e^{5} x^{4} + 4 \, c^{5} d^{4} e^{5} x^{3} + 6 \, c^{6} d^{3} e^{5} x^{2} + 4 \, c^{7} d^{2} e^{5} x + c^{8} d e^{5}\right)}}"," ",0,"1/12*(3*a*d^4*x^4 + 12*a*c*d^3*x^3 + 18*a*c^2*d^2*x^2 + 12*a*c^3*d*x - 3*b*c^4*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) + (2*b*c^4*d^3*x^3 + 6*b*c^5*d^2*x^2 + 2*b*c^7 + b*c^5 + (6*b*c^6 + b*c^4)*d*x)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/(c^4*d^5*e^5*x^4 + 4*c^5*d^4*e^5*x^3 + 6*c^6*d^3*e^5*x^2 + 4*c^7*d^2*e^5*x + c^8*d*e^5)","B",0
103,1,416,0,0.779128," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^6,x, algorithm=""fricas"")","-\frac{8 \, a c^{5} - 6 \, {\left(b c^{5} d^{5} x^{5} + 5 \, b c^{6} d^{4} x^{4} + 10 \, b c^{7} d^{3} x^{3} + 10 \, b c^{8} d^{2} x^{2} + 5 \, b c^{9} d x + b c^{10}\right)} \arctan\left(-d x - c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 8 \, {\left(b d^{5} x^{5} + 5 \, b c d^{4} x^{4} + 10 \, b c^{2} d^{3} x^{3} + 10 \, b c^{3} d^{2} x^{2} + 5 \, b c^{4} d x\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 8 \, {\left(b d^{5} x^{5} + 5 \, b c d^{4} x^{4} + 10 \, b c^{2} d^{3} x^{3} + 10 \, b c^{3} d^{2} x^{2} + 5 \, b c^{4} d x + b c^{5}\right)} \log\left(-d x - c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(3 \, b c^{5} d^{3} x^{3} + 9 \, b c^{6} d^{2} x^{2} + 3 \, b c^{8} + 2 \, b c^{6} + {\left(9 \, b c^{7} + 2 \, b c^{5}\right)} d x\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{40 \, {\left(c^{5} d^{6} e^{6} x^{5} + 5 \, c^{6} d^{5} e^{6} x^{4} + 10 \, c^{7} d^{4} e^{6} x^{3} + 10 \, c^{8} d^{3} e^{6} x^{2} + 5 \, c^{9} d^{2} e^{6} x + c^{10} d e^{6}\right)}}"," ",0,"-1/40*(8*a*c^5 - 6*(b*c^5*d^5*x^5 + 5*b*c^6*d^4*x^4 + 10*b*c^7*d^3*x^3 + 10*b*c^8*d^2*x^2 + 5*b*c^9*d*x + b*c^10)*arctan(-d*x - c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 8*(b*d^5*x^5 + 5*b*c*d^4*x^4 + 10*b*c^2*d^3*x^3 + 10*b*c^3*d^2*x^2 + 5*b*c^4*d*x)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 8*(b*d^5*x^5 + 5*b*c*d^4*x^4 + 10*b*c^2*d^3*x^3 + 10*b*c^3*d^2*x^2 + 5*b*c^4*d*x + b*c^5)*log(-d*x - c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (3*b*c^5*d^3*x^3 + 9*b*c^6*d^2*x^2 + 3*b*c^8 + 2*b*c^6 + (9*b*c^7 + 2*b*c^5)*d*x)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/(c^5*d^6*e^6*x^5 + 5*c^6*d^5*e^6*x^4 + 10*c^7*d^4*e^6*x^3 + 10*c^8*d^3*e^6*x^2 + 5*c^9*d^2*e^6*x + c^10*d*e^6)","B",0
104,1,618,0,0.659642," ","integrate((d*e*x+c*e)^4*(a+b*arccosh(d*x+c))^2,x, algorithm=""fricas"")","\frac{9 \, {\left(25 \, a^{2} + 2 \, b^{2}\right)} d^{5} e^{4} x^{5} + 45 \, {\left(25 \, a^{2} + 2 \, b^{2}\right)} c d^{4} e^{4} x^{4} + 10 \, {\left(9 \, {\left(25 \, a^{2} + 2 \, b^{2}\right)} c^{2} + 4 \, b^{2}\right)} d^{3} e^{4} x^{3} + 30 \, {\left(3 \, {\left(25 \, a^{2} + 2 \, b^{2}\right)} c^{3} + 4 \, b^{2} c\right)} d^{2} e^{4} x^{2} + 15 \, {\left(3 \, {\left(25 \, a^{2} + 2 \, b^{2}\right)} c^{4} + 8 \, b^{2} c^{2} + 16 \, b^{2}\right)} d e^{4} x + 225 \, {\left(b^{2} d^{5} e^{4} x^{5} + 5 \, b^{2} c d^{4} e^{4} x^{4} + 10 \, b^{2} c^{2} d^{3} e^{4} x^{3} + 10 \, b^{2} c^{3} d^{2} e^{4} x^{2} + 5 \, b^{2} c^{4} d e^{4} x + b^{2} c^{5} e^{4}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{2} + 30 \, {\left(15 \, a b d^{5} e^{4} x^{5} + 75 \, a b c d^{4} e^{4} x^{4} + 150 \, a b c^{2} d^{3} e^{4} x^{3} + 150 \, a b c^{3} d^{2} e^{4} x^{2} + 75 \, a b c^{4} d e^{4} x + 15 \, a b c^{5} e^{4} - {\left(3 \, b^{2} d^{4} e^{4} x^{4} + 12 \, b^{2} c d^{3} e^{4} x^{3} + 2 \, {\left(9 \, b^{2} c^{2} + 2 \, b^{2}\right)} d^{2} e^{4} x^{2} + 4 \, {\left(3 \, b^{2} c^{3} + 2 \, b^{2} c\right)} d e^{4} x + {\left(3 \, b^{2} c^{4} + 4 \, b^{2} c^{2} + 8 \, b^{2}\right)} e^{4}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 30 \, {\left(3 \, a b d^{4} e^{4} x^{4} + 12 \, a b c d^{3} e^{4} x^{3} + 2 \, {\left(9 \, a b c^{2} + 2 \, a b\right)} d^{2} e^{4} x^{2} + 4 \, {\left(3 \, a b c^{3} + 2 \, a b c\right)} d e^{4} x + {\left(3 \, a b c^{4} + 4 \, a b c^{2} + 8 \, a b\right)} e^{4}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{1125 \, d}"," ",0,"1/1125*(9*(25*a^2 + 2*b^2)*d^5*e^4*x^5 + 45*(25*a^2 + 2*b^2)*c*d^4*e^4*x^4 + 10*(9*(25*a^2 + 2*b^2)*c^2 + 4*b^2)*d^3*e^4*x^3 + 30*(3*(25*a^2 + 2*b^2)*c^3 + 4*b^2*c)*d^2*e^4*x^2 + 15*(3*(25*a^2 + 2*b^2)*c^4 + 8*b^2*c^2 + 16*b^2)*d*e^4*x + 225*(b^2*d^5*e^4*x^5 + 5*b^2*c*d^4*e^4*x^4 + 10*b^2*c^2*d^3*e^4*x^3 + 10*b^2*c^3*d^2*e^4*x^2 + 5*b^2*c^4*d*e^4*x + b^2*c^5*e^4)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^2 + 30*(15*a*b*d^5*e^4*x^5 + 75*a*b*c*d^4*e^4*x^4 + 150*a*b*c^2*d^3*e^4*x^3 + 150*a*b*c^3*d^2*e^4*x^2 + 75*a*b*c^4*d*e^4*x + 15*a*b*c^5*e^4 - (3*b^2*d^4*e^4*x^4 + 12*b^2*c*d^3*e^4*x^3 + 2*(9*b^2*c^2 + 2*b^2)*d^2*e^4*x^2 + 4*(3*b^2*c^3 + 2*b^2*c)*d*e^4*x + (3*b^2*c^4 + 4*b^2*c^2 + 8*b^2)*e^4)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 30*(3*a*b*d^4*e^4*x^4 + 12*a*b*c*d^3*e^4*x^3 + 2*(9*a*b*c^2 + 2*a*b)*d^2*e^4*x^2 + 4*(3*a*b*c^3 + 2*a*b*c)*d*e^4*x + (3*a*b*c^4 + 4*a*b*c^2 + 8*a*b)*e^4)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","B",0
105,1,481,0,0.589559," ","integrate((d*e*x+c*e)^3*(a+b*arccosh(d*x+c))^2,x, algorithm=""fricas"")","\frac{{\left(8 \, a^{2} + b^{2}\right)} d^{4} e^{3} x^{4} + 4 \, {\left(8 \, a^{2} + b^{2}\right)} c d^{3} e^{3} x^{3} + 3 \, {\left(2 \, {\left(8 \, a^{2} + b^{2}\right)} c^{2} + b^{2}\right)} d^{2} e^{3} x^{2} + 2 \, {\left(2 \, {\left(8 \, a^{2} + b^{2}\right)} c^{3} + 3 \, b^{2} c\right)} d e^{3} x + {\left(8 \, b^{2} d^{4} e^{3} x^{4} + 32 \, b^{2} c d^{3} e^{3} x^{3} + 48 \, b^{2} c^{2} d^{2} e^{3} x^{2} + 32 \, b^{2} c^{3} d e^{3} x + {\left(8 \, b^{2} c^{4} - 3 \, b^{2}\right)} e^{3}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{2} + 2 \, {\left(8 \, a b d^{4} e^{3} x^{4} + 32 \, a b c d^{3} e^{3} x^{3} + 48 \, a b c^{2} d^{2} e^{3} x^{2} + 32 \, a b c^{3} d e^{3} x + {\left(8 \, a b c^{4} - 3 \, a b\right)} e^{3} - {\left(2 \, b^{2} d^{3} e^{3} x^{3} + 6 \, b^{2} c d^{2} e^{3} x^{2} + 3 \, {\left(2 \, b^{2} c^{2} + b^{2}\right)} d e^{3} x + {\left(2 \, b^{2} c^{3} + 3 \, b^{2} c\right)} e^{3}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 2 \, {\left(2 \, a b d^{3} e^{3} x^{3} + 6 \, a b c d^{2} e^{3} x^{2} + 3 \, {\left(2 \, a b c^{2} + a b\right)} d e^{3} x + {\left(2 \, a b c^{3} + 3 \, a b c\right)} e^{3}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{32 \, d}"," ",0,"1/32*((8*a^2 + b^2)*d^4*e^3*x^4 + 4*(8*a^2 + b^2)*c*d^3*e^3*x^3 + 3*(2*(8*a^2 + b^2)*c^2 + b^2)*d^2*e^3*x^2 + 2*(2*(8*a^2 + b^2)*c^3 + 3*b^2*c)*d*e^3*x + (8*b^2*d^4*e^3*x^4 + 32*b^2*c*d^3*e^3*x^3 + 48*b^2*c^2*d^2*e^3*x^2 + 32*b^2*c^3*d*e^3*x + (8*b^2*c^4 - 3*b^2)*e^3)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^2 + 2*(8*a*b*d^4*e^3*x^4 + 32*a*b*c*d^3*e^3*x^3 + 48*a*b*c^2*d^2*e^3*x^2 + 32*a*b*c^3*d*e^3*x + (8*a*b*c^4 - 3*a*b)*e^3 - (2*b^2*d^3*e^3*x^3 + 6*b^2*c*d^2*e^3*x^2 + 3*(2*b^2*c^2 + b^2)*d*e^3*x + (2*b^2*c^3 + 3*b^2*c)*e^3)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 2*(2*a*b*d^3*e^3*x^3 + 6*a*b*c*d^2*e^3*x^2 + 3*(2*a*b*c^2 + a*b)*d*e^3*x + (2*a*b*c^3 + 3*a*b*c)*e^3)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","B",0
106,1,358,0,0.525173," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+c))^2,x, algorithm=""fricas"")","\frac{{\left(9 \, a^{2} + 2 \, b^{2}\right)} d^{3} e^{2} x^{3} + 3 \, {\left(9 \, a^{2} + 2 \, b^{2}\right)} c d^{2} e^{2} x^{2} + 3 \, {\left({\left(9 \, a^{2} + 2 \, b^{2}\right)} c^{2} + 4 \, b^{2}\right)} d e^{2} x + 9 \, {\left(b^{2} d^{3} e^{2} x^{3} + 3 \, b^{2} c d^{2} e^{2} x^{2} + 3 \, b^{2} c^{2} d e^{2} x + b^{2} c^{3} e^{2}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{2} + 6 \, {\left(3 \, a b d^{3} e^{2} x^{3} + 9 \, a b c d^{2} e^{2} x^{2} + 9 \, a b c^{2} d e^{2} x + 3 \, a b c^{3} e^{2} - {\left(b^{2} d^{2} e^{2} x^{2} + 2 \, b^{2} c d e^{2} x + {\left(b^{2} c^{2} + 2 \, b^{2}\right)} e^{2}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 6 \, {\left(a b d^{2} e^{2} x^{2} + 2 \, a b c d e^{2} x + {\left(a b c^{2} + 2 \, a b\right)} e^{2}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{27 \, d}"," ",0,"1/27*((9*a^2 + 2*b^2)*d^3*e^2*x^3 + 3*(9*a^2 + 2*b^2)*c*d^2*e^2*x^2 + 3*((9*a^2 + 2*b^2)*c^2 + 4*b^2)*d*e^2*x + 9*(b^2*d^3*e^2*x^3 + 3*b^2*c*d^2*e^2*x^2 + 3*b^2*c^2*d*e^2*x + b^2*c^3*e^2)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^2 + 6*(3*a*b*d^3*e^2*x^3 + 9*a*b*c*d^2*e^2*x^2 + 9*a*b*c^2*d*e^2*x + 3*a*b*c^3*e^2 - (b^2*d^2*e^2*x^2 + 2*b^2*c*d*e^2*x + (b^2*c^2 + 2*b^2)*e^2)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 6*(a*b*d^2*e^2*x^2 + 2*a*b*c*d*e^2*x + (a*b*c^2 + 2*a*b)*e^2)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","B",0
107,1,233,0,0.660514," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+c))^2,x, algorithm=""fricas"")","\frac{{\left(2 \, a^{2} + b^{2}\right)} d^{2} e x^{2} + 2 \, {\left(2 \, a^{2} + b^{2}\right)} c d e x + {\left(2 \, b^{2} d^{2} e x^{2} + 4 \, b^{2} c d e x + {\left(2 \, b^{2} c^{2} - b^{2}\right)} e\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{2} + 2 \, {\left(2 \, a b d^{2} e x^{2} + 4 \, a b c d e x + {\left(2 \, a b c^{2} - a b\right)} e - {\left(b^{2} d e x + b^{2} c e\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 2 \, {\left(a b d e x + a b c e\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{4 \, d}"," ",0,"1/4*((2*a^2 + b^2)*d^2*e*x^2 + 2*(2*a^2 + b^2)*c*d*e*x + (2*b^2*d^2*e*x^2 + 4*b^2*c*d*e*x + (2*b^2*c^2 - b^2)*e)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^2 + 2*(2*a*b*d^2*e*x^2 + 4*a*b*c*d*e*x + (2*a*b*c^2 - a*b)*e - (b^2*d*e*x + b^2*c*e)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 2*(a*b*d*e*x + a*b*c*e)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","B",0
108,1,141,0,0.628815," ","integrate((a+b*arccosh(d*x+c))^2,x, algorithm=""fricas"")","\frac{{\left(a^{2} + 2 \, b^{2}\right)} d x + {\left(b^{2} d x + b^{2} c\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{2} - 2 \, \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} a b + 2 \, {\left(a b d x + a b c - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} b^{2}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)}{d}"," ",0,"((a^2 + 2*b^2)*d*x + (b^2*d*x + b^2*c)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^2 - 2*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*a*b + 2*(a*b*d*x + a*b*c - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*b^2)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)))/d","B",0
109,0,0,0,1.594919," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x + c\right) + a^{2}}{d e x + c e}, x\right)"," ",0,"integral((b^2*arccosh(d*x + c)^2 + 2*a*b*arccosh(d*x + c) + a^2)/(d*e*x + c*e), x)","F",0
110,0,0,0,0.621967," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x + c\right) + a^{2}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral((b^2*arccosh(d*x + c)^2 + 2*a*b*arccosh(d*x + c) + a^2)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
111,1,320,0,0.679214," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^3,x, algorithm=""fricas"")","\frac{2 \, a b c^{2} d^{2} x^{2} + 4 \, a b c^{3} d x + 2 \, a b c^{4} - b^{2} c^{2} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{2} - a^{2} c^{2} + 2 \, {\left(a b d^{2} x^{2} + 2 \, a b c d x + {\left(b^{2} c^{2} d x + b^{2} c^{3}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 2 \, {\left(b^{2} c^{2} d^{2} x^{2} + 2 \, b^{2} c^{3} d x + b^{2} c^{4}\right)} \log\left(d x + c\right) + 2 \, {\left(a b d^{2} x^{2} + 2 \, a b c d x + a b c^{2}\right)} \log\left(-d x - c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) + 2 \, {\left(a b c^{2} d x + a b c^{3}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{2 \, {\left(c^{2} d^{3} e^{3} x^{2} + 2 \, c^{3} d^{2} e^{3} x + c^{4} d e^{3}\right)}}"," ",0,"1/2*(2*a*b*c^2*d^2*x^2 + 4*a*b*c^3*d*x + 2*a*b*c^4 - b^2*c^2*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^2 - a^2*c^2 + 2*(a*b*d^2*x^2 + 2*a*b*c*d*x + (b^2*c^2*d*x + b^2*c^3)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 2*(b^2*c^2*d^2*x^2 + 2*b^2*c^3*d*x + b^2*c^4)*log(d*x + c) + 2*(a*b*d^2*x^2 + 2*a*b*c*d*x + a*b*c^2)*log(-d*x - c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) + 2*(a*b*c^2*d*x + a*b*c^3)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/(c^2*d^3*e^3*x^2 + 2*c^3*d^2*e^3*x + c^4*d*e^3)","B",0
112,0,0,0,0.636234," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x + c\right) + a^{2}}{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}, x\right)"," ",0,"integral((b^2*arccosh(d*x + c)^2 + 2*a*b*arccosh(d*x + c) + a^2)/(d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4), x)","F",0
113,1,1074,0,0.722571," ","integrate((d*e*x+c*e)^4*(a+b*arccosh(d*x+c))^3,x, algorithm=""fricas"")","\frac{45 \, {\left(25 \, a^{3} + 6 \, a b^{2}\right)} d^{5} e^{4} x^{5} + 225 \, {\left(25 \, a^{3} + 6 \, a b^{2}\right)} c d^{4} e^{4} x^{4} + 150 \, {\left(4 \, a b^{2} + 3 \, {\left(25 \, a^{3} + 6 \, a b^{2}\right)} c^{2}\right)} d^{3} e^{4} x^{3} + 450 \, {\left(4 \, a b^{2} c + {\left(25 \, a^{3} + 6 \, a b^{2}\right)} c^{3}\right)} d^{2} e^{4} x^{2} + 225 \, {\left(8 \, a b^{2} c^{2} + {\left(25 \, a^{3} + 6 \, a b^{2}\right)} c^{4} + 16 \, a b^{2}\right)} d e^{4} x + 1125 \, {\left(b^{3} d^{5} e^{4} x^{5} + 5 \, b^{3} c d^{4} e^{4} x^{4} + 10 \, b^{3} c^{2} d^{3} e^{4} x^{3} + 10 \, b^{3} c^{3} d^{2} e^{4} x^{2} + 5 \, b^{3} c^{4} d e^{4} x + b^{3} c^{5} e^{4}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{3} + 225 \, {\left(15 \, a b^{2} d^{5} e^{4} x^{5} + 75 \, a b^{2} c d^{4} e^{4} x^{4} + 150 \, a b^{2} c^{2} d^{3} e^{4} x^{3} + 150 \, a b^{2} c^{3} d^{2} e^{4} x^{2} + 75 \, a b^{2} c^{4} d e^{4} x + 15 \, a b^{2} c^{5} e^{4} - {\left(3 \, b^{3} d^{4} e^{4} x^{4} + 12 \, b^{3} c d^{3} e^{4} x^{3} + 2 \, {\left(9 \, b^{3} c^{2} + 2 \, b^{3}\right)} d^{2} e^{4} x^{2} + 4 \, {\left(3 \, b^{3} c^{3} + 2 \, b^{3} c\right)} d e^{4} x + {\left(3 \, b^{3} c^{4} + 4 \, b^{3} c^{2} + 8 \, b^{3}\right)} e^{4}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{2} + 15 \, {\left(9 \, {\left(25 \, a^{2} b + 2 \, b^{3}\right)} d^{5} e^{4} x^{5} + 45 \, {\left(25 \, a^{2} b + 2 \, b^{3}\right)} c d^{4} e^{4} x^{4} + 10 \, {\left(4 \, b^{3} + 9 \, {\left(25 \, a^{2} b + 2 \, b^{3}\right)} c^{2}\right)} d^{3} e^{4} x^{3} + 30 \, {\left(4 \, b^{3} c + 3 \, {\left(25 \, a^{2} b + 2 \, b^{3}\right)} c^{3}\right)} d^{2} e^{4} x^{2} + 15 \, {\left(8 \, b^{3} c^{2} + 3 \, {\left(25 \, a^{2} b + 2 \, b^{3}\right)} c^{4} + 16 \, b^{3}\right)} d e^{4} x + {\left(40 \, b^{3} c^{3} + 9 \, {\left(25 \, a^{2} b + 2 \, b^{3}\right)} c^{5} + 240 \, b^{3} c\right)} e^{4} - 30 \, {\left(3 \, a b^{2} d^{4} e^{4} x^{4} + 12 \, a b^{2} c d^{3} e^{4} x^{3} + 2 \, {\left(9 \, a b^{2} c^{2} + 2 \, a b^{2}\right)} d^{2} e^{4} x^{2} + 4 \, {\left(3 \, a b^{2} c^{3} + 2 \, a b^{2} c\right)} d e^{4} x + {\left(3 \, a b^{2} c^{4} + 4 \, a b^{2} c^{2} + 8 \, a b^{2}\right)} e^{4}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left(27 \, {\left(25 \, a^{2} b + 2 \, b^{3}\right)} d^{4} e^{4} x^{4} + 108 \, {\left(25 \, a^{2} b + 2 \, b^{3}\right)} c d^{3} e^{4} x^{3} + 2 \, {\left(450 \, a^{2} b + 136 \, b^{3} + 81 \, {\left(25 \, a^{2} b + 2 \, b^{3}\right)} c^{2}\right)} d^{2} e^{4} x^{2} + 4 \, {\left(27 \, {\left(25 \, a^{2} b + 2 \, b^{3}\right)} c^{3} + 2 \, {\left(225 \, a^{2} b + 68 \, b^{3}\right)} c\right)} d e^{4} x + {\left(27 \, {\left(25 \, a^{2} b + 2 \, b^{3}\right)} c^{4} + 1800 \, a^{2} b + 4144 \, b^{3} + 4 \, {\left(225 \, a^{2} b + 68 \, b^{3}\right)} c^{2}\right)} e^{4}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{5625 \, d}"," ",0,"1/5625*(45*(25*a^3 + 6*a*b^2)*d^5*e^4*x^5 + 225*(25*a^3 + 6*a*b^2)*c*d^4*e^4*x^4 + 150*(4*a*b^2 + 3*(25*a^3 + 6*a*b^2)*c^2)*d^3*e^4*x^3 + 450*(4*a*b^2*c + (25*a^3 + 6*a*b^2)*c^3)*d^2*e^4*x^2 + 225*(8*a*b^2*c^2 + (25*a^3 + 6*a*b^2)*c^4 + 16*a*b^2)*d*e^4*x + 1125*(b^3*d^5*e^4*x^5 + 5*b^3*c*d^4*e^4*x^4 + 10*b^3*c^2*d^3*e^4*x^3 + 10*b^3*c^3*d^2*e^4*x^2 + 5*b^3*c^4*d*e^4*x + b^3*c^5*e^4)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^3 + 225*(15*a*b^2*d^5*e^4*x^5 + 75*a*b^2*c*d^4*e^4*x^4 + 150*a*b^2*c^2*d^3*e^4*x^3 + 150*a*b^2*c^3*d^2*e^4*x^2 + 75*a*b^2*c^4*d*e^4*x + 15*a*b^2*c^5*e^4 - (3*b^3*d^4*e^4*x^4 + 12*b^3*c*d^3*e^4*x^3 + 2*(9*b^3*c^2 + 2*b^3)*d^2*e^4*x^2 + 4*(3*b^3*c^3 + 2*b^3*c)*d*e^4*x + (3*b^3*c^4 + 4*b^3*c^2 + 8*b^3)*e^4)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^2 + 15*(9*(25*a^2*b + 2*b^3)*d^5*e^4*x^5 + 45*(25*a^2*b + 2*b^3)*c*d^4*e^4*x^4 + 10*(4*b^3 + 9*(25*a^2*b + 2*b^3)*c^2)*d^3*e^4*x^3 + 30*(4*b^3*c + 3*(25*a^2*b + 2*b^3)*c^3)*d^2*e^4*x^2 + 15*(8*b^3*c^2 + 3*(25*a^2*b + 2*b^3)*c^4 + 16*b^3)*d*e^4*x + (40*b^3*c^3 + 9*(25*a^2*b + 2*b^3)*c^5 + 240*b^3*c)*e^4 - 30*(3*a*b^2*d^4*e^4*x^4 + 12*a*b^2*c*d^3*e^4*x^3 + 2*(9*a*b^2*c^2 + 2*a*b^2)*d^2*e^4*x^2 + 4*(3*a*b^2*c^3 + 2*a*b^2*c)*d*e^4*x + (3*a*b^2*c^4 + 4*a*b^2*c^2 + 8*a*b^2)*e^4)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - (27*(25*a^2*b + 2*b^3)*d^4*e^4*x^4 + 108*(25*a^2*b + 2*b^3)*c*d^3*e^4*x^3 + 2*(450*a^2*b + 136*b^3 + 81*(25*a^2*b + 2*b^3)*c^2)*d^2*e^4*x^2 + 4*(27*(25*a^2*b + 2*b^3)*c^3 + 2*(225*a^2*b + 68*b^3)*c)*d*e^4*x + (27*(25*a^2*b + 2*b^3)*c^4 + 1800*a^2*b + 4144*b^3 + 4*(225*a^2*b + 68*b^3)*c^2)*e^4)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","B",0
114,1,828,0,0.697574," ","integrate((d*e*x+c*e)^3*(a+b*arccosh(d*x+c))^3,x, algorithm=""fricas"")","\frac{8 \, {\left(8 \, a^{3} + 3 \, a b^{2}\right)} d^{4} e^{3} x^{4} + 32 \, {\left(8 \, a^{3} + 3 \, a b^{2}\right)} c d^{3} e^{3} x^{3} + 24 \, {\left(3 \, a b^{2} + 2 \, {\left(8 \, a^{3} + 3 \, a b^{2}\right)} c^{2}\right)} d^{2} e^{3} x^{2} + 16 \, {\left(9 \, a b^{2} c + 2 \, {\left(8 \, a^{3} + 3 \, a b^{2}\right)} c^{3}\right)} d e^{3} x + 8 \, {\left(8 \, b^{3} d^{4} e^{3} x^{4} + 32 \, b^{3} c d^{3} e^{3} x^{3} + 48 \, b^{3} c^{2} d^{2} e^{3} x^{2} + 32 \, b^{3} c^{3} d e^{3} x + {\left(8 \, b^{3} c^{4} - 3 \, b^{3}\right)} e^{3}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{3} + 24 \, {\left(8 \, a b^{2} d^{4} e^{3} x^{4} + 32 \, a b^{2} c d^{3} e^{3} x^{3} + 48 \, a b^{2} c^{2} d^{2} e^{3} x^{2} + 32 \, a b^{2} c^{3} d e^{3} x + {\left(8 \, a b^{2} c^{4} - 3 \, a b^{2}\right)} e^{3} - {\left(2 \, b^{3} d^{3} e^{3} x^{3} + 6 \, b^{3} c d^{2} e^{3} x^{2} + 3 \, {\left(2 \, b^{3} c^{2} + b^{3}\right)} d e^{3} x + {\left(2 \, b^{3} c^{3} + 3 \, b^{3} c\right)} e^{3}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{2} + 3 \, {\left(8 \, {\left(8 \, a^{2} b + b^{3}\right)} d^{4} e^{3} x^{4} + 32 \, {\left(8 \, a^{2} b + b^{3}\right)} c d^{3} e^{3} x^{3} + 24 \, {\left(b^{3} + 2 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{2}\right)} d^{2} e^{3} x^{2} + 16 \, {\left(3 \, b^{3} c + 2 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{3}\right)} d e^{3} x + {\left(24 \, b^{3} c^{2} + 8 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{4} - 24 \, a^{2} b - 15 \, b^{3}\right)} e^{3} - 16 \, {\left(2 \, a b^{2} d^{3} e^{3} x^{3} + 6 \, a b^{2} c d^{2} e^{3} x^{2} + 3 \, {\left(2 \, a b^{2} c^{2} + a b^{2}\right)} d e^{3} x + {\left(2 \, a b^{2} c^{3} + 3 \, a b^{2} c\right)} e^{3}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 3 \, {\left(2 \, {\left(8 \, a^{2} b + b^{3}\right)} d^{3} e^{3} x^{3} + 6 \, {\left(8 \, a^{2} b + b^{3}\right)} c d^{2} e^{3} x^{2} + 3 \, {\left(8 \, a^{2} b + 5 \, b^{3} + 2 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{2}\right)} d e^{3} x + {\left(2 \, {\left(8 \, a^{2} b + b^{3}\right)} c^{3} + 3 \, {\left(8 \, a^{2} b + 5 \, b^{3}\right)} c\right)} e^{3}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{256 \, d}"," ",0,"1/256*(8*(8*a^3 + 3*a*b^2)*d^4*e^3*x^4 + 32*(8*a^3 + 3*a*b^2)*c*d^3*e^3*x^3 + 24*(3*a*b^2 + 2*(8*a^3 + 3*a*b^2)*c^2)*d^2*e^3*x^2 + 16*(9*a*b^2*c + 2*(8*a^3 + 3*a*b^2)*c^3)*d*e^3*x + 8*(8*b^3*d^4*e^3*x^4 + 32*b^3*c*d^3*e^3*x^3 + 48*b^3*c^2*d^2*e^3*x^2 + 32*b^3*c^3*d*e^3*x + (8*b^3*c^4 - 3*b^3)*e^3)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^3 + 24*(8*a*b^2*d^4*e^3*x^4 + 32*a*b^2*c*d^3*e^3*x^3 + 48*a*b^2*c^2*d^2*e^3*x^2 + 32*a*b^2*c^3*d*e^3*x + (8*a*b^2*c^4 - 3*a*b^2)*e^3 - (2*b^3*d^3*e^3*x^3 + 6*b^3*c*d^2*e^3*x^2 + 3*(2*b^3*c^2 + b^3)*d*e^3*x + (2*b^3*c^3 + 3*b^3*c)*e^3)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^2 + 3*(8*(8*a^2*b + b^3)*d^4*e^3*x^4 + 32*(8*a^2*b + b^3)*c*d^3*e^3*x^3 + 24*(b^3 + 2*(8*a^2*b + b^3)*c^2)*d^2*e^3*x^2 + 16*(3*b^3*c + 2*(8*a^2*b + b^3)*c^3)*d*e^3*x + (24*b^3*c^2 + 8*(8*a^2*b + b^3)*c^4 - 24*a^2*b - 15*b^3)*e^3 - 16*(2*a*b^2*d^3*e^3*x^3 + 6*a*b^2*c*d^2*e^3*x^2 + 3*(2*a*b^2*c^2 + a*b^2)*d*e^3*x + (2*a*b^2*c^3 + 3*a*b^2*c)*e^3)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 3*(2*(8*a^2*b + b^3)*d^3*e^3*x^3 + 6*(8*a^2*b + b^3)*c*d^2*e^3*x^2 + 3*(8*a^2*b + 5*b^3 + 2*(8*a^2*b + b^3)*c^2)*d*e^3*x + (2*(8*a^2*b + b^3)*c^3 + 3*(8*a^2*b + 5*b^3)*c)*e^3)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","B",0
115,1,607,0,2.082244," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+c))^3,x, algorithm=""fricas"")","\frac{3 \, {\left(3 \, a^{3} + 2 \, a b^{2}\right)} d^{3} e^{2} x^{3} + 9 \, {\left(3 \, a^{3} + 2 \, a b^{2}\right)} c d^{2} e^{2} x^{2} + 9 \, {\left(4 \, a b^{2} + {\left(3 \, a^{3} + 2 \, a b^{2}\right)} c^{2}\right)} d e^{2} x + 9 \, {\left(b^{3} d^{3} e^{2} x^{3} + 3 \, b^{3} c d^{2} e^{2} x^{2} + 3 \, b^{3} c^{2} d e^{2} x + b^{3} c^{3} e^{2}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{3} + 9 \, {\left(3 \, a b^{2} d^{3} e^{2} x^{3} + 9 \, a b^{2} c d^{2} e^{2} x^{2} + 9 \, a b^{2} c^{2} d e^{2} x + 3 \, a b^{2} c^{3} e^{2} - {\left(b^{3} d^{2} e^{2} x^{2} + 2 \, b^{3} c d e^{2} x + {\left(b^{3} c^{2} + 2 \, b^{3}\right)} e^{2}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{2} + 3 \, {\left({\left(9 \, a^{2} b + 2 \, b^{3}\right)} d^{3} e^{2} x^{3} + 3 \, {\left(9 \, a^{2} b + 2 \, b^{3}\right)} c d^{2} e^{2} x^{2} + 3 \, {\left(4 \, b^{3} + {\left(9 \, a^{2} b + 2 \, b^{3}\right)} c^{2}\right)} d e^{2} x + {\left(12 \, b^{3} c + {\left(9 \, a^{2} b + 2 \, b^{3}\right)} c^{3}\right)} e^{2} - 6 \, {\left(a b^{2} d^{2} e^{2} x^{2} + 2 \, a b^{2} c d e^{2} x + {\left(a b^{2} c^{2} + 2 \, a b^{2}\right)} e^{2}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - {\left({\left(9 \, a^{2} b + 2 \, b^{3}\right)} d^{2} e^{2} x^{2} + 2 \, {\left(9 \, a^{2} b + 2 \, b^{3}\right)} c d e^{2} x + {\left(18 \, a^{2} b + 40 \, b^{3} + {\left(9 \, a^{2} b + 2 \, b^{3}\right)} c^{2}\right)} e^{2}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{27 \, d}"," ",0,"1/27*(3*(3*a^3 + 2*a*b^2)*d^3*e^2*x^3 + 9*(3*a^3 + 2*a*b^2)*c*d^2*e^2*x^2 + 9*(4*a*b^2 + (3*a^3 + 2*a*b^2)*c^2)*d*e^2*x + 9*(b^3*d^3*e^2*x^3 + 3*b^3*c*d^2*e^2*x^2 + 3*b^3*c^2*d*e^2*x + b^3*c^3*e^2)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^3 + 9*(3*a*b^2*d^3*e^2*x^3 + 9*a*b^2*c*d^2*e^2*x^2 + 9*a*b^2*c^2*d*e^2*x + 3*a*b^2*c^3*e^2 - (b^3*d^2*e^2*x^2 + 2*b^3*c*d*e^2*x + (b^3*c^2 + 2*b^3)*e^2)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^2 + 3*((9*a^2*b + 2*b^3)*d^3*e^2*x^3 + 3*(9*a^2*b + 2*b^3)*c*d^2*e^2*x^2 + 3*(4*b^3 + (9*a^2*b + 2*b^3)*c^2)*d*e^2*x + (12*b^3*c + (9*a^2*b + 2*b^3)*c^3)*e^2 - 6*(a*b^2*d^2*e^2*x^2 + 2*a*b^2*c*d*e^2*x + (a*b^2*c^2 + 2*a*b^2)*e^2)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - ((9*a^2*b + 2*b^3)*d^2*e^2*x^2 + 2*(9*a^2*b + 2*b^3)*c*d*e^2*x + (18*a^2*b + 40*b^3 + (9*a^2*b + 2*b^3)*c^2)*e^2)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","B",0
116,1,395,0,0.856394," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+c))^3,x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} d^{2} e x^{2} + 4 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} c d e x + 2 \, {\left(2 \, b^{3} d^{2} e x^{2} + 4 \, b^{3} c d e x + {\left(2 \, b^{3} c^{2} - b^{3}\right)} e\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{3} + 6 \, {\left(2 \, a b^{2} d^{2} e x^{2} + 4 \, a b^{2} c d e x + {\left(2 \, a b^{2} c^{2} - a b^{2}\right)} e - {\left(b^{3} d e x + b^{3} c e\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{2} + 3 \, {\left(2 \, {\left(2 \, a^{2} b + b^{3}\right)} d^{2} e x^{2} + 4 \, {\left(2 \, a^{2} b + b^{3}\right)} c d e x - {\left(2 \, a^{2} b + b^{3} - 2 \, {\left(2 \, a^{2} b + b^{3}\right)} c^{2}\right)} e - 4 \, {\left(a b^{2} d e x + a b^{2} c e\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 3 \, {\left({\left(2 \, a^{2} b + b^{3}\right)} d e x + {\left(2 \, a^{2} b + b^{3}\right)} c e\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{8 \, d}"," ",0,"1/8*(2*(2*a^3 + 3*a*b^2)*d^2*e*x^2 + 4*(2*a^3 + 3*a*b^2)*c*d*e*x + 2*(2*b^3*d^2*e*x^2 + 4*b^3*c*d*e*x + (2*b^3*c^2 - b^3)*e)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^3 + 6*(2*a*b^2*d^2*e*x^2 + 4*a*b^2*c*d*e*x + (2*a*b^2*c^2 - a*b^2)*e - (b^3*d*e*x + b^3*c*e)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^2 + 3*(2*(2*a^2*b + b^3)*d^2*e*x^2 + 4*(2*a^2*b + b^3)*c*d*e*x - (2*a^2*b + b^3 - 2*(2*a^2*b + b^3)*c^2)*e - 4*(a*b^2*d*e*x + a*b^2*c*e)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 3*((2*a^2*b + b^3)*d*e*x + (2*a^2*b + b^3)*c*e)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","B",0
117,1,239,0,0.572004," ","integrate((a+b*arccosh(d*x+c))^3,x, algorithm=""fricas"")","\frac{{\left(b^{3} d x + b^{3} c\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{3} + {\left(a^{3} + 6 \, a b^{2}\right)} d x + 3 \, {\left(a b^{2} d x + a b^{2} c - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} b^{3}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{2} - 3 \, {\left(2 \, \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} a b^{2} - {\left(a^{2} b + 2 \, b^{3}\right)} d x - {\left(a^{2} b + 2 \, b^{3}\right)} c\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 3 \, \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} {\left(a^{2} b + 2 \, b^{3}\right)}}{d}"," ",0,"((b^3*d*x + b^3*c)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^3 + (a^3 + 6*a*b^2)*d*x + 3*(a*b^2*d*x + a*b^2*c - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*b^3)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^2 - 3*(2*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*a*b^2 - (a^2*b + 2*b^3)*d*x - (a^2*b + 2*b^3)*c)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 3*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*(a^2*b + 2*b^3))/d","B",0
118,0,0,0,1.016724," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x + c\right) + a^{3}}{d e x + c e}, x\right)"," ",0,"integral((b^3*arccosh(d*x + c)^3 + 3*a*b^2*arccosh(d*x + c)^2 + 3*a^2*b*arccosh(d*x + c) + a^3)/(d*e*x + c*e), x)","F",0
119,0,0,0,0.623981," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x + c\right) + a^{3}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral((b^3*arccosh(d*x + c)^3 + 3*a*b^2*arccosh(d*x + c)^2 + 3*a^2*b*arccosh(d*x + c) + a^3)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
120,0,0,0,0.808922," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x + c\right) + a^{3}}{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}, x\right)"," ",0,"integral((b^3*arccosh(d*x + c)^3 + 3*a*b^2*arccosh(d*x + c)^2 + 3*a^2*b*arccosh(d*x + c) + a^3)/(d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3), x)","F",0
121,0,0,0,2.161408," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x + c\right) + a^{3}}{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}, x\right)"," ",0,"integral((b^3*arccosh(d*x + c)^3 + 3*a*b^2*arccosh(d*x + c)^2 + 3*a^2*b*arccosh(d*x + c) + a^3)/(d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4), x)","F",0
122,1,1236,0,0.745909," ","integrate((d*e*x+c*e)^3*(a+b*arccosh(d*x+c))^4,x, algorithm=""fricas"")","\frac{{\left(32 \, a^{4} + 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} d^{4} e^{3} x^{4} + 4 \, {\left(32 \, a^{4} + 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} c d^{3} e^{3} x^{3} + 3 \, {\left(24 \, a^{2} b^{2} + 15 \, b^{4} + 2 \, {\left(32 \, a^{4} + 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{2}\right)} d^{2} e^{3} x^{2} + 2 \, {\left(2 \, {\left(32 \, a^{4} + 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} c^{3} + 9 \, {\left(8 \, a^{2} b^{2} + 5 \, b^{4}\right)} c\right)} d e^{3} x + 4 \, {\left(8 \, b^{4} d^{4} e^{3} x^{4} + 32 \, b^{4} c d^{3} e^{3} x^{3} + 48 \, b^{4} c^{2} d^{2} e^{3} x^{2} + 32 \, b^{4} c^{3} d e^{3} x + {\left(8 \, b^{4} c^{4} - 3 \, b^{4}\right)} e^{3}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{4} + 16 \, {\left(8 \, a b^{3} d^{4} e^{3} x^{4} + 32 \, a b^{3} c d^{3} e^{3} x^{3} + 48 \, a b^{3} c^{2} d^{2} e^{3} x^{2} + 32 \, a b^{3} c^{3} d e^{3} x + {\left(8 \, a b^{3} c^{4} - 3 \, a b^{3}\right)} e^{3} - {\left(2 \, b^{4} d^{3} e^{3} x^{3} + 6 \, b^{4} c d^{2} e^{3} x^{2} + 3 \, {\left(2 \, b^{4} c^{2} + b^{4}\right)} d e^{3} x + {\left(2 \, b^{4} c^{3} + 3 \, b^{4} c\right)} e^{3}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{3} + 3 \, {\left(8 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} d^{4} e^{3} x^{4} + 32 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} c d^{3} e^{3} x^{3} + 24 \, {\left(b^{4} + 2 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} c^{2}\right)} d^{2} e^{3} x^{2} + 16 \, {\left(3 \, b^{4} c + 2 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} c^{3}\right)} d e^{3} x + {\left(24 \, b^{4} c^{2} + 8 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} c^{4} - 24 \, a^{2} b^{2} - 15 \, b^{4}\right)} e^{3} - 16 \, {\left(2 \, a b^{3} d^{3} e^{3} x^{3} + 6 \, a b^{3} c d^{2} e^{3} x^{2} + 3 \, {\left(2 \, a b^{3} c^{2} + a b^{3}\right)} d e^{3} x + {\left(2 \, a b^{3} c^{3} + 3 \, a b^{3} c\right)} e^{3}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{2} + 2 \, {\left(8 \, {\left(8 \, a^{3} b + 3 \, a b^{3}\right)} d^{4} e^{3} x^{4} + 32 \, {\left(8 \, a^{3} b + 3 \, a b^{3}\right)} c d^{3} e^{3} x^{3} + 24 \, {\left(3 \, a b^{3} + 2 \, {\left(8 \, a^{3} b + 3 \, a b^{3}\right)} c^{2}\right)} d^{2} e^{3} x^{2} + 16 \, {\left(9 \, a b^{3} c + 2 \, {\left(8 \, a^{3} b + 3 \, a b^{3}\right)} c^{3}\right)} d e^{3} x + {\left(72 \, a b^{3} c^{2} + 8 \, {\left(8 \, a^{3} b + 3 \, a b^{3}\right)} c^{4} - 24 \, a^{3} b - 45 \, a b^{3}\right)} e^{3} - 3 \, {\left(2 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} d^{3} e^{3} x^{3} + 6 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} c d^{2} e^{3} x^{2} + 3 \, {\left(8 \, a^{2} b^{2} + 5 \, b^{4} + 2 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} c^{2}\right)} d e^{3} x + {\left(2 \, {\left(8 \, a^{2} b^{2} + b^{4}\right)} c^{3} + 3 \, {\left(8 \, a^{2} b^{2} + 5 \, b^{4}\right)} c\right)} e^{3}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 2 \, {\left(2 \, {\left(8 \, a^{3} b + 3 \, a b^{3}\right)} d^{3} e^{3} x^{3} + 6 \, {\left(8 \, a^{3} b + 3 \, a b^{3}\right)} c d^{2} e^{3} x^{2} + 3 \, {\left(8 \, a^{3} b + 15 \, a b^{3} + 2 \, {\left(8 \, a^{3} b + 3 \, a b^{3}\right)} c^{2}\right)} d e^{3} x + {\left(2 \, {\left(8 \, a^{3} b + 3 \, a b^{3}\right)} c^{3} + 3 \, {\left(8 \, a^{3} b + 15 \, a b^{3}\right)} c\right)} e^{3}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{128 \, d}"," ",0,"1/128*((32*a^4 + 24*a^2*b^2 + 3*b^4)*d^4*e^3*x^4 + 4*(32*a^4 + 24*a^2*b^2 + 3*b^4)*c*d^3*e^3*x^3 + 3*(24*a^2*b^2 + 15*b^4 + 2*(32*a^4 + 24*a^2*b^2 + 3*b^4)*c^2)*d^2*e^3*x^2 + 2*(2*(32*a^4 + 24*a^2*b^2 + 3*b^4)*c^3 + 9*(8*a^2*b^2 + 5*b^4)*c)*d*e^3*x + 4*(8*b^4*d^4*e^3*x^4 + 32*b^4*c*d^3*e^3*x^3 + 48*b^4*c^2*d^2*e^3*x^2 + 32*b^4*c^3*d*e^3*x + (8*b^4*c^4 - 3*b^4)*e^3)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^4 + 16*(8*a*b^3*d^4*e^3*x^4 + 32*a*b^3*c*d^3*e^3*x^3 + 48*a*b^3*c^2*d^2*e^3*x^2 + 32*a*b^3*c^3*d*e^3*x + (8*a*b^3*c^4 - 3*a*b^3)*e^3 - (2*b^4*d^3*e^3*x^3 + 6*b^4*c*d^2*e^3*x^2 + 3*(2*b^4*c^2 + b^4)*d*e^3*x + (2*b^4*c^3 + 3*b^4*c)*e^3)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^3 + 3*(8*(8*a^2*b^2 + b^4)*d^4*e^3*x^4 + 32*(8*a^2*b^2 + b^4)*c*d^3*e^3*x^3 + 24*(b^4 + 2*(8*a^2*b^2 + b^4)*c^2)*d^2*e^3*x^2 + 16*(3*b^4*c + 2*(8*a^2*b^2 + b^4)*c^3)*d*e^3*x + (24*b^4*c^2 + 8*(8*a^2*b^2 + b^4)*c^4 - 24*a^2*b^2 - 15*b^4)*e^3 - 16*(2*a*b^3*d^3*e^3*x^3 + 6*a*b^3*c*d^2*e^3*x^2 + 3*(2*a*b^3*c^2 + a*b^3)*d*e^3*x + (2*a*b^3*c^3 + 3*a*b^3*c)*e^3)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^2 + 2*(8*(8*a^3*b + 3*a*b^3)*d^4*e^3*x^4 + 32*(8*a^3*b + 3*a*b^3)*c*d^3*e^3*x^3 + 24*(3*a*b^3 + 2*(8*a^3*b + 3*a*b^3)*c^2)*d^2*e^3*x^2 + 16*(9*a*b^3*c + 2*(8*a^3*b + 3*a*b^3)*c^3)*d*e^3*x + (72*a*b^3*c^2 + 8*(8*a^3*b + 3*a*b^3)*c^4 - 24*a^3*b - 45*a*b^3)*e^3 - 3*(2*(8*a^2*b^2 + b^4)*d^3*e^3*x^3 + 6*(8*a^2*b^2 + b^4)*c*d^2*e^3*x^2 + 3*(8*a^2*b^2 + 5*b^4 + 2*(8*a^2*b^2 + b^4)*c^2)*d*e^3*x + (2*(8*a^2*b^2 + b^4)*c^3 + 3*(8*a^2*b^2 + 5*b^4)*c)*e^3)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 2*(2*(8*a^3*b + 3*a*b^3)*d^3*e^3*x^3 + 6*(8*a^3*b + 3*a*b^3)*c*d^2*e^3*x^2 + 3*(8*a^3*b + 15*a*b^3 + 2*(8*a^3*b + 3*a*b^3)*c^2)*d*e^3*x + (2*(8*a^3*b + 3*a*b^3)*c^3 + 3*(8*a^3*b + 15*a*b^3)*c)*e^3)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","B",0
123,1,890,0,0.541292," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+c))^4,x, algorithm=""fricas"")","\frac{{\left(27 \, a^{4} + 36 \, a^{2} b^{2} + 8 \, b^{4}\right)} d^{3} e^{2} x^{3} + 3 \, {\left(27 \, a^{4} + 36 \, a^{2} b^{2} + 8 \, b^{4}\right)} c d^{2} e^{2} x^{2} + 3 \, {\left(72 \, a^{2} b^{2} + 160 \, b^{4} + {\left(27 \, a^{4} + 36 \, a^{2} b^{2} + 8 \, b^{4}\right)} c^{2}\right)} d e^{2} x + 27 \, {\left(b^{4} d^{3} e^{2} x^{3} + 3 \, b^{4} c d^{2} e^{2} x^{2} + 3 \, b^{4} c^{2} d e^{2} x + b^{4} c^{3} e^{2}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{4} + 36 \, {\left(3 \, a b^{3} d^{3} e^{2} x^{3} + 9 \, a b^{3} c d^{2} e^{2} x^{2} + 9 \, a b^{3} c^{2} d e^{2} x + 3 \, a b^{3} c^{3} e^{2} - {\left(b^{4} d^{2} e^{2} x^{2} + 2 \, b^{4} c d e^{2} x + {\left(b^{4} c^{2} + 2 \, b^{4}\right)} e^{2}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{3} + 18 \, {\left({\left(9 \, a^{2} b^{2} + 2 \, b^{4}\right)} d^{3} e^{2} x^{3} + 3 \, {\left(9 \, a^{2} b^{2} + 2 \, b^{4}\right)} c d^{2} e^{2} x^{2} + 3 \, {\left(4 \, b^{4} + {\left(9 \, a^{2} b^{2} + 2 \, b^{4}\right)} c^{2}\right)} d e^{2} x + {\left(12 \, b^{4} c + {\left(9 \, a^{2} b^{2} + 2 \, b^{4}\right)} c^{3}\right)} e^{2} - 6 \, {\left(a b^{3} d^{2} e^{2} x^{2} + 2 \, a b^{3} c d e^{2} x + {\left(a b^{3} c^{2} + 2 \, a b^{3}\right)} e^{2}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{2} + 12 \, {\left(3 \, {\left(3 \, a^{3} b + 2 \, a b^{3}\right)} d^{3} e^{2} x^{3} + 9 \, {\left(3 \, a^{3} b + 2 \, a b^{3}\right)} c d^{2} e^{2} x^{2} + 9 \, {\left(4 \, a b^{3} + {\left(3 \, a^{3} b + 2 \, a b^{3}\right)} c^{2}\right)} d e^{2} x + 3 \, {\left(12 \, a b^{3} c + {\left(3 \, a^{3} b + 2 \, a b^{3}\right)} c^{3}\right)} e^{2} - {\left({\left(9 \, a^{2} b^{2} + 2 \, b^{4}\right)} d^{2} e^{2} x^{2} + 2 \, {\left(9 \, a^{2} b^{2} + 2 \, b^{4}\right)} c d e^{2} x + {\left(18 \, a^{2} b^{2} + 40 \, b^{4} + {\left(9 \, a^{2} b^{2} + 2 \, b^{4}\right)} c^{2}\right)} e^{2}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 12 \, {\left({\left(3 \, a^{3} b + 2 \, a b^{3}\right)} d^{2} e^{2} x^{2} + 2 \, {\left(3 \, a^{3} b + 2 \, a b^{3}\right)} c d e^{2} x + {\left(6 \, a^{3} b + 40 \, a b^{3} + {\left(3 \, a^{3} b + 2 \, a b^{3}\right)} c^{2}\right)} e^{2}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{81 \, d}"," ",0,"1/81*((27*a^4 + 36*a^2*b^2 + 8*b^4)*d^3*e^2*x^3 + 3*(27*a^4 + 36*a^2*b^2 + 8*b^4)*c*d^2*e^2*x^2 + 3*(72*a^2*b^2 + 160*b^4 + (27*a^4 + 36*a^2*b^2 + 8*b^4)*c^2)*d*e^2*x + 27*(b^4*d^3*e^2*x^3 + 3*b^4*c*d^2*e^2*x^2 + 3*b^4*c^2*d*e^2*x + b^4*c^3*e^2)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^4 + 36*(3*a*b^3*d^3*e^2*x^3 + 9*a*b^3*c*d^2*e^2*x^2 + 9*a*b^3*c^2*d*e^2*x + 3*a*b^3*c^3*e^2 - (b^4*d^2*e^2*x^2 + 2*b^4*c*d*e^2*x + (b^4*c^2 + 2*b^4)*e^2)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^3 + 18*((9*a^2*b^2 + 2*b^4)*d^3*e^2*x^3 + 3*(9*a^2*b^2 + 2*b^4)*c*d^2*e^2*x^2 + 3*(4*b^4 + (9*a^2*b^2 + 2*b^4)*c^2)*d*e^2*x + (12*b^4*c + (9*a^2*b^2 + 2*b^4)*c^3)*e^2 - 6*(a*b^3*d^2*e^2*x^2 + 2*a*b^3*c*d*e^2*x + (a*b^3*c^2 + 2*a*b^3)*e^2)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^2 + 12*(3*(3*a^3*b + 2*a*b^3)*d^3*e^2*x^3 + 9*(3*a^3*b + 2*a*b^3)*c*d^2*e^2*x^2 + 9*(4*a*b^3 + (3*a^3*b + 2*a*b^3)*c^2)*d*e^2*x + 3*(12*a*b^3*c + (3*a^3*b + 2*a*b^3)*c^3)*e^2 - ((9*a^2*b^2 + 2*b^4)*d^2*e^2*x^2 + 2*(9*a^2*b^2 + 2*b^4)*c*d*e^2*x + (18*a^2*b^2 + 40*b^4 + (9*a^2*b^2 + 2*b^4)*c^2)*e^2)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 12*((3*a^3*b + 2*a*b^3)*d^2*e^2*x^2 + 2*(3*a^3*b + 2*a*b^3)*c*d*e^2*x + (6*a^3*b + 40*a*b^3 + (3*a^3*b + 2*a*b^3)*c^2)*e^2)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","B",0
124,1,579,0,0.798895," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+c))^4,x, algorithm=""fricas"")","\frac{{\left(2 \, a^{4} + 6 \, a^{2} b^{2} + 3 \, b^{4}\right)} d^{2} e x^{2} + 2 \, {\left(2 \, a^{4} + 6 \, a^{2} b^{2} + 3 \, b^{4}\right)} c d e x + {\left(2 \, b^{4} d^{2} e x^{2} + 4 \, b^{4} c d e x + {\left(2 \, b^{4} c^{2} - b^{4}\right)} e\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{4} + 4 \, {\left(2 \, a b^{3} d^{2} e x^{2} + 4 \, a b^{3} c d e x + {\left(2 \, a b^{3} c^{2} - a b^{3}\right)} e - {\left(b^{4} d e x + b^{4} c e\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{3} + 3 \, {\left(2 \, {\left(2 \, a^{2} b^{2} + b^{4}\right)} d^{2} e x^{2} + 4 \, {\left(2 \, a^{2} b^{2} + b^{4}\right)} c d e x - {\left(2 \, a^{2} b^{2} + b^{4} - 2 \, {\left(2 \, a^{2} b^{2} + b^{4}\right)} c^{2}\right)} e - 4 \, {\left(a b^{3} d e x + a b^{3} c e\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{2} + 2 \, {\left(2 \, {\left(2 \, a^{3} b + 3 \, a b^{3}\right)} d^{2} e x^{2} + 4 \, {\left(2 \, a^{3} b + 3 \, a b^{3}\right)} c d e x - {\left(2 \, a^{3} b + 3 \, a b^{3} - 2 \, {\left(2 \, a^{3} b + 3 \, a b^{3}\right)} c^{2}\right)} e - 3 \, {\left({\left(2 \, a^{2} b^{2} + b^{4}\right)} d e x + {\left(2 \, a^{2} b^{2} + b^{4}\right)} c e\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 2 \, {\left({\left(2 \, a^{3} b + 3 \, a b^{3}\right)} d e x + {\left(2 \, a^{3} b + 3 \, a b^{3}\right)} c e\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{4 \, d}"," ",0,"1/4*((2*a^4 + 6*a^2*b^2 + 3*b^4)*d^2*e*x^2 + 2*(2*a^4 + 6*a^2*b^2 + 3*b^4)*c*d*e*x + (2*b^4*d^2*e*x^2 + 4*b^4*c*d*e*x + (2*b^4*c^2 - b^4)*e)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^4 + 4*(2*a*b^3*d^2*e*x^2 + 4*a*b^3*c*d*e*x + (2*a*b^3*c^2 - a*b^3)*e - (b^4*d*e*x + b^4*c*e)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^3 + 3*(2*(2*a^2*b^2 + b^4)*d^2*e*x^2 + 4*(2*a^2*b^2 + b^4)*c*d*e*x - (2*a^2*b^2 + b^4 - 2*(2*a^2*b^2 + b^4)*c^2)*e - 4*(a*b^3*d*e*x + a*b^3*c*e)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^2 + 2*(2*(2*a^3*b + 3*a*b^3)*d^2*e*x^2 + 4*(2*a^3*b + 3*a*b^3)*c*d*e*x - (2*a^3*b + 3*a*b^3 - 2*(2*a^3*b + 3*a*b^3)*c^2)*e - 3*((2*a^2*b^2 + b^4)*d*e*x + (2*a^2*b^2 + b^4)*c*e)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 2*((2*a^3*b + 3*a*b^3)*d*e*x + (2*a^3*b + 3*a*b^3)*c*e)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","B",0
125,1,344,0,0.686680," ","integrate((a+b*arccosh(d*x+c))^4,x, algorithm=""fricas"")","\frac{{\left(b^{4} d x + b^{4} c\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{4} + 4 \, {\left(a b^{3} d x + a b^{3} c - \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} b^{4}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{3} + {\left(a^{4} + 12 \, a^{2} b^{2} + 24 \, b^{4}\right)} d x - 6 \, {\left(2 \, \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1} a b^{3} - {\left(a^{2} b^{2} + 2 \, b^{4}\right)} d x - {\left(a^{2} b^{2} + 2 \, b^{4}\right)} c\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)^{2} + 4 \, {\left({\left(a^{3} b + 6 \, a b^{3}\right)} d x + {\left(a^{3} b + 6 \, a b^{3}\right)} c - 3 \, {\left(a^{2} b^{2} + 2 \, b^{4}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right)} \log\left(d x + c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}\right) - 4 \, {\left(a^{3} b + 6 \, a b^{3}\right)} \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} - 1}}{d}"," ",0,"((b^4*d*x + b^4*c)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^4 + 4*(a*b^3*d*x + a*b^3*c - sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*b^4)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^3 + (a^4 + 12*a^2*b^2 + 24*b^4)*d*x - 6*(2*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)*a*b^3 - (a^2*b^2 + 2*b^4)*d*x - (a^2*b^2 + 2*b^4)*c)*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))^2 + 4*((a^3*b + 6*a*b^3)*d*x + (a^3*b + 6*a*b^3)*c - 3*(a^2*b^2 + 2*b^4)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))*log(d*x + c + sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1)) - 4*(a^3*b + 6*a*b^3)*sqrt(d^2*x^2 + 2*c*d*x + c^2 - 1))/d","B",0
126,0,0,0,0.640969," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arcosh}\left(d x + c\right) + a^{4}}{d e x + c e}, x\right)"," ",0,"integral((b^4*arccosh(d*x + c)^4 + 4*a*b^3*arccosh(d*x + c)^3 + 6*a^2*b^2*arccosh(d*x + c)^2 + 4*a^3*b*arccosh(d*x + c) + a^4)/(d*e*x + c*e), x)","F",0
127,0,0,0,0.753282," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arcosh}\left(d x + c\right) + a^{4}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral((b^4*arccosh(d*x + c)^4 + 4*a*b^3*arccosh(d*x + c)^3 + 6*a^2*b^2*arccosh(d*x + c)^2 + 4*a^3*b*arccosh(d*x + c) + a^4)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
128,0,0,0,1.343091," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arcosh}\left(d x + c\right) + a^{4}}{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}, x\right)"," ",0,"integral((b^4*arccosh(d*x + c)^4 + 4*a*b^3*arccosh(d*x + c)^3 + 6*a^2*b^2*arccosh(d*x + c)^2 + 4*a^3*b*arccosh(d*x + c) + a^4)/(d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3), x)","F",0
129,0,0,0,0.680720," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arcosh}\left(d x + c\right) + a^{4}}{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}, x\right)"," ",0,"integral((b^4*arccosh(d*x + c)^4 + 4*a*b^3*arccosh(d*x + c)^3 + 6*a^2*b^2*arccosh(d*x + c)^2 + 4*a^3*b*arccosh(d*x + c) + a^4)/(d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4), x)","F",0
130,0,0,0,0.604388," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}{b \operatorname{arcosh}\left(d x + c\right) + a}, x\right)"," ",0,"integral((d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4)/(b*arccosh(d*x + c) + a), x)","F",0
131,0,0,0,1.589916," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}{b \operatorname{arcosh}\left(d x + c\right) + a}, x\right)"," ",0,"integral((d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3)/(b*arccosh(d*x + c) + a), x)","F",0
132,0,0,0,0.676404," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}{b \operatorname{arcosh}\left(d x + c\right) + a}, x\right)"," ",0,"integral((d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2)/(b*arccosh(d*x + c) + a), x)","F",0
133,0,0,0,0.746999," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d e x + c e}{b \operatorname{arcosh}\left(d x + c\right) + a}, x\right)"," ",0,"integral((d*e*x + c*e)/(b*arccosh(d*x + c) + a), x)","F",0
134,0,0,0,0.541263," ","integrate(1/(a+b*arccosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \operatorname{arcosh}\left(d x + c\right) + a}, x\right)"," ",0,"integral(1/(b*arccosh(d*x + c) + a), x)","F",0
135,0,0,0,0.684699," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a d e x + a c e + {\left(b d e x + b c e\right)} \operatorname{arcosh}\left(d x + c\right)}, x\right)"," ",0,"integral(1/(a*d*e*x + a*c*e + (b*d*e*x + b*c*e)*arccosh(d*x + c)), x)","F",0
136,0,0,0,0.728199," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}{b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral((d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4)/(b^2*arccosh(d*x + c)^2 + 2*a*b*arccosh(d*x + c) + a^2), x)","F",0
137,0,0,0,0.805660," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}{b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral((d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3)/(b^2*arccosh(d*x + c)^2 + 2*a*b*arccosh(d*x + c) + a^2), x)","F",0
138,0,0,0,0.772687," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}{b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral((d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2)/(b^2*arccosh(d*x + c)^2 + 2*a*b*arccosh(d*x + c) + a^2), x)","F",0
139,0,0,0,0.602985," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d e x + c e}{b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral((d*e*x + c*e)/(b^2*arccosh(d*x + c)^2 + 2*a*b*arccosh(d*x + c) + a^2), x)","F",0
140,0,0,0,0.796079," ","integrate(1/(a+b*arccosh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral(1/(b^2*arccosh(d*x + c)^2 + 2*a*b*arccosh(d*x + c) + a^2), x)","F",0
141,0,0,0,0.631750," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} d e x + a^{2} c e + {\left(b^{2} d e x + b^{2} c e\right)} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, {\left(a b d e x + a b c e\right)} \operatorname{arcosh}\left(d x + c\right)}, x\right)"," ",0,"integral(1/(a^2*d*e*x + a^2*c*e + (b^2*d*e*x + b^2*c*e)*arccosh(d*x + c)^2 + 2*(a*b*d*e*x + a*b*c*e)*arccosh(d*x + c)), x)","F",0
142,0,0,0,0.712299," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}{b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x + c\right) + a^{3}}, x\right)"," ",0,"integral((d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4)/(b^3*arccosh(d*x + c)^3 + 3*a*b^2*arccosh(d*x + c)^2 + 3*a^2*b*arccosh(d*x + c) + a^3), x)","F",0
143,0,0,0,0.875648," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}{b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x + c\right) + a^{3}}, x\right)"," ",0,"integral((d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3)/(b^3*arccosh(d*x + c)^3 + 3*a*b^2*arccosh(d*x + c)^2 + 3*a^2*b*arccosh(d*x + c) + a^3), x)","F",0
144,0,0,0,0.639875," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}{b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x + c\right) + a^{3}}, x\right)"," ",0,"integral((d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2)/(b^3*arccosh(d*x + c)^3 + 3*a*b^2*arccosh(d*x + c)^2 + 3*a^2*b*arccosh(d*x + c) + a^3), x)","F",0
145,0,0,0,0.605278," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d e x + c e}{b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x + c\right) + a^{3}}, x\right)"," ",0,"integral((d*e*x + c*e)/(b^3*arccosh(d*x + c)^3 + 3*a*b^2*arccosh(d*x + c)^2 + 3*a^2*b*arccosh(d*x + c) + a^3), x)","F",0
146,0,0,0,1.465165," ","integrate(1/(a+b*arccosh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x + c\right) + a^{3}}, x\right)"," ",0,"integral(1/(b^3*arccosh(d*x + c)^3 + 3*a*b^2*arccosh(d*x + c)^2 + 3*a^2*b*arccosh(d*x + c) + a^3), x)","F",0
147,0,0,0,0.754453," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{3} d e x + a^{3} c e + {\left(b^{3} d e x + b^{3} c e\right)} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, {\left(a b^{2} d e x + a b^{2} c e\right)} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, {\left(a^{2} b d e x + a^{2} b c e\right)} \operatorname{arcosh}\left(d x + c\right)}, x\right)"," ",0,"integral(1/(a^3*d*e*x + a^3*c*e + (b^3*d*e*x + b^3*c*e)*arccosh(d*x + c)^3 + 3*(a*b^2*d*e*x + a*b^2*c*e)*arccosh(d*x + c)^2 + 3*(a^2*b*d*e*x + a^2*b*c*e)*arccosh(d*x + c)), x)","F",0
148,0,0,0,0.920037," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}{b^{4} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arcosh}\left(d x + c\right) + a^{4}}, x\right)"," ",0,"integral((d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4)/(b^4*arccosh(d*x + c)^4 + 4*a*b^3*arccosh(d*x + c)^3 + 6*a^2*b^2*arccosh(d*x + c)^2 + 4*a^3*b*arccosh(d*x + c) + a^4), x)","F",0
149,0,0,0,0.788046," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}{b^{4} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arcosh}\left(d x + c\right) + a^{4}}, x\right)"," ",0,"integral((d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3)/(b^4*arccosh(d*x + c)^4 + 4*a*b^3*arccosh(d*x + c)^3 + 6*a^2*b^2*arccosh(d*x + c)^2 + 4*a^3*b*arccosh(d*x + c) + a^4), x)","F",0
150,0,0,0,0.861126," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}{b^{4} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arcosh}\left(d x + c\right) + a^{4}}, x\right)"," ",0,"integral((d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2)/(b^4*arccosh(d*x + c)^4 + 4*a*b^3*arccosh(d*x + c)^3 + 6*a^2*b^2*arccosh(d*x + c)^2 + 4*a^3*b*arccosh(d*x + c) + a^4), x)","F",0
151,0,0,0,0.797124," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d e x + c e}{b^{4} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arcosh}\left(d x + c\right) + a^{4}}, x\right)"," ",0,"integral((d*e*x + c*e)/(b^4*arccosh(d*x + c)^4 + 4*a*b^3*arccosh(d*x + c)^3 + 6*a^2*b^2*arccosh(d*x + c)^2 + 4*a^3*b*arccosh(d*x + c) + a^4), x)","F",0
152,0,0,0,0.775762," ","integrate(1/(a+b*arccosh(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{4} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arcosh}\left(d x + c\right) + a^{4}}, x\right)"," ",0,"integral(1/(b^4*arccosh(d*x + c)^4 + 4*a*b^3*arccosh(d*x + c)^3 + 6*a^2*b^2*arccosh(d*x + c)^2 + 4*a^3*b*arccosh(d*x + c) + a^4), x)","F",0
153,0,0,0,0.796105," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{4} d e x + a^{4} c e + {\left(b^{4} d e x + b^{4} c e\right)} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, {\left(a b^{3} d e x + a b^{3} c e\right)} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, {\left(a^{2} b^{2} d e x + a^{2} b^{2} c e\right)} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, {\left(a^{3} b d e x + a^{3} b c e\right)} \operatorname{arcosh}\left(d x + c\right)}, x\right)"," ",0,"integral(1/(a^4*d*e*x + a^4*c*e + (b^4*d*e*x + b^4*c*e)*arccosh(d*x + c)^4 + 4*(a*b^3*d*e*x + a*b^3*c*e)*arccosh(d*x + c)^3 + 6*(a^2*b^2*d*e*x + a^2*b^2*c*e)*arccosh(d*x + c)^2 + 4*(a^3*b*d*e*x + a^3*b*c*e)*arccosh(d*x + c)), x)","F",0
154,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^4*(a+b*arccosh(d*x+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
155,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arccosh(d*x+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
156,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+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
157,-2,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+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
158,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+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
159,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^(1/2)/(d*e*x+c*e),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
160,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arccosh(d*x+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
161,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+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
162,-2,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+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
163,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+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
164,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^(3/2)/(d*e*x+c*e),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
165,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arccosh(d*x+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
166,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+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
167,-2,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+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
168,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+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
169,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^(5/2)/(d*e*x+c*e),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
170,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
171,-2,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
172,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
173,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x+c))^(7/2)/(d*e*x+c*e),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
174,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+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
175,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+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
176,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+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
177,-2,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+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
178,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x+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
179,-2,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+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
180,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+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
181,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+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
182,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+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
183,-2,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+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
184,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x+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
185,-2,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+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
186,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+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
187,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+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
188,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+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
189,-2,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+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
190,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x+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
191,-2,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+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
192,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
193,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
194,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
195,-2,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
196,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
197,-2,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arccosh(d*x+c))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
198,0,0,0,0.606157," ","integrate((d*e*x+c*e)^(7/2)*(a+b*arccosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a d^{3} e^{3} x^{3} + 3 \, a c d^{2} e^{3} x^{2} + 3 \, a c^{2} d e^{3} x + a c^{3} e^{3} + {\left(b d^{3} e^{3} x^{3} + 3 \, b c d^{2} e^{3} x^{2} + 3 \, b c^{2} d e^{3} x + b c^{3} e^{3}\right)} \operatorname{arcosh}\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a*d^3*e^3*x^3 + 3*a*c*d^2*e^3*x^2 + 3*a*c^2*d*e^3*x + a*c^3*e^3 + (b*d^3*e^3*x^3 + 3*b*c*d^2*e^3*x^2 + 3*b*c^2*d*e^3*x + b*c^3*e^3)*arccosh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
199,0,0,0,1.440696," ","integrate((d*e*x+c*e)^(5/2)*(a+b*arccosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a d^{2} e^{2} x^{2} + 2 \, a c d e^{2} x + a c^{2} e^{2} + {\left(b d^{2} e^{2} x^{2} + 2 \, b c d e^{2} x + b c^{2} e^{2}\right)} \operatorname{arcosh}\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a*d^2*e^2*x^2 + 2*a*c*d*e^2*x + a*c^2*e^2 + (b*d^2*e^2*x^2 + 2*b*c*d*e^2*x + b*c^2*e^2)*arccosh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
200,0,0,0,0.618477," ","integrate((d*e*x+c*e)^(3/2)*(a+b*arccosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a d e x + a c e + {\left(b d e x + b c e\right)} \operatorname{arcosh}\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a*d*e*x + a*c*e + (b*d*e*x + b*c*e)*arccosh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
201,0,0,0,0.655873," ","integrate((a+b*arccosh(d*x+c))*(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d e x + c e} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}, x\right)"," ",0,"integral(sqrt(d*e*x + c*e)*(b*arccosh(d*x + c) + a), x)","F",0
202,0,0,0,0.675377," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(d x + c\right) + a}{\sqrt{d e x + c e}}, x\right)"," ",0,"integral((b*arccosh(d*x + c) + a)/sqrt(d*e*x + c*e), x)","F",0
203,0,0,0,0.628323," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d e x + c e} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral(sqrt(d*e*x + c*e)*(b*arccosh(d*x + c) + a)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
204,0,0,0,0.754503," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d e x + c e} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}}{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}, x\right)"," ",0,"integral(sqrt(d*e*x + c*e)*(b*arccosh(d*x + c) + a)/(d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3), x)","F",0
205,0,0,0,0.531192," ","integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d e x + c e} {\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)}}{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}, x\right)"," ",0,"integral(sqrt(d*e*x + c*e)*(b*arccosh(d*x + c) + a)/(d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4), x)","F",0
206,0,0,0,0.782861," ","integrate((d*e*x+c*e)^(7/2)*(a+b*arccosh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} d^{3} e^{3} x^{3} + 3 \, a^{2} c d^{2} e^{3} x^{2} + 3 \, a^{2} c^{2} d e^{3} x + a^{2} c^{3} e^{3} + {\left(b^{2} d^{3} e^{3} x^{3} + 3 \, b^{2} c d^{2} e^{3} x^{2} + 3 \, b^{2} c^{2} d e^{3} x + b^{2} c^{3} e^{3}\right)} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, {\left(a b d^{3} e^{3} x^{3} + 3 \, a b c d^{2} e^{3} x^{2} + 3 \, a b c^{2} d e^{3} x + a b c^{3} e^{3}\right)} \operatorname{arcosh}\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a^2*d^3*e^3*x^3 + 3*a^2*c*d^2*e^3*x^2 + 3*a^2*c^2*d*e^3*x + a^2*c^3*e^3 + (b^2*d^3*e^3*x^3 + 3*b^2*c*d^2*e^3*x^2 + 3*b^2*c^2*d*e^3*x + b^2*c^3*e^3)*arccosh(d*x + c)^2 + 2*(a*b*d^3*e^3*x^3 + 3*a*b*c*d^2*e^3*x^2 + 3*a*b*c^2*d*e^3*x + a*b*c^3*e^3)*arccosh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
207,0,0,0,0.804877," ","integrate((d*e*x+c*e)^(5/2)*(a+b*arccosh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} d^{2} e^{2} x^{2} + 2 \, a^{2} c d e^{2} x + a^{2} c^{2} e^{2} + {\left(b^{2} d^{2} e^{2} x^{2} + 2 \, b^{2} c d e^{2} x + b^{2} c^{2} e^{2}\right)} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, {\left(a b d^{2} e^{2} x^{2} + 2 \, a b c d e^{2} x + a b c^{2} e^{2}\right)} \operatorname{arcosh}\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a^2*d^2*e^2*x^2 + 2*a^2*c*d*e^2*x + a^2*c^2*e^2 + (b^2*d^2*e^2*x^2 + 2*b^2*c*d*e^2*x + b^2*c^2*e^2)*arccosh(d*x + c)^2 + 2*(a*b*d^2*e^2*x^2 + 2*a*b*c*d*e^2*x + a*b*c^2*e^2)*arccosh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
208,0,0,0,0.767542," ","integrate((d*e*x+c*e)^(3/2)*(a+b*arccosh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{2} d e x + a^{2} c e + {\left(b^{2} d e x + b^{2} c e\right)} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, {\left(a b d e x + a b c e\right)} \operatorname{arcosh}\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a^2*d*e*x + a^2*c*e + (b^2*d*e*x + b^2*c*e)*arccosh(d*x + c)^2 + 2*(a*b*d*e*x + a*b*c*e)*arccosh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
209,0,0,0,0.726227," ","integrate((a+b*arccosh(d*x+c))^2*(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x + c\right) + a^{2}\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((b^2*arccosh(d*x + c)^2 + 2*a*b*arccosh(d*x + c) + a^2)*sqrt(d*e*x + c*e), x)","F",0
210,0,0,0,0.702541," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x + c\right) + a^{2}}{\sqrt{d e x + c e}}, x\right)"," ",0,"integral((b^2*arccosh(d*x + c)^2 + 2*a*b*arccosh(d*x + c) + a^2)/sqrt(d*e*x + c*e), x)","F",0
211,0,0,0,0.899588," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x + c\right) + a^{2}\right)} \sqrt{d e x + c e}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral((b^2*arccosh(d*x + c)^2 + 2*a*b*arccosh(d*x + c) + a^2)*sqrt(d*e*x + c*e)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
212,0,0,0,0.547970," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x + c\right) + a^{2}\right)} \sqrt{d e x + c e}}{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}, x\right)"," ",0,"integral((b^2*arccosh(d*x + c)^2 + 2*a*b*arccosh(d*x + c) + a^2)*sqrt(d*e*x + c*e)/(d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3), x)","F",0
213,0,0,0,1.558400," ","integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x + c\right) + a^{2}\right)} \sqrt{d e x + c e}}{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}, x\right)"," ",0,"integral((b^2*arccosh(d*x + c)^2 + 2*a*b*arccosh(d*x + c) + a^2)*sqrt(d*e*x + c*e)/(d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4), x)","F",0
214,0,0,0,0.883560," ","integrate((d*e*x+c*e)^(3/2)*(a+b*arccosh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{3} d e x + a^{3} c e + {\left(b^{3} d e x + b^{3} c e\right)} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, {\left(a b^{2} d e x + a b^{2} c e\right)} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, {\left(a^{2} b d e x + a^{2} b c e\right)} \operatorname{arcosh}\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a^3*d*e*x + a^3*c*e + (b^3*d*e*x + b^3*c*e)*arccosh(d*x + c)^3 + 3*(a*b^2*d*e*x + a*b^2*c*e)*arccosh(d*x + c)^2 + 3*(a^2*b*d*e*x + a^2*b*c*e)*arccosh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
215,0,0,0,0.776890," ","integrate((a+b*arccosh(d*x+c))^3*(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x + c\right) + a^{3}\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((b^3*arccosh(d*x + c)^3 + 3*a*b^2*arccosh(d*x + c)^2 + 3*a^2*b*arccosh(d*x + c) + a^3)*sqrt(d*e*x + c*e), x)","F",0
216,0,0,0,0.544557," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x + c\right) + a^{3}}{\sqrt{d e x + c e}}, x\right)"," ",0,"integral((b^3*arccosh(d*x + c)^3 + 3*a*b^2*arccosh(d*x + c)^2 + 3*a^2*b*arccosh(d*x + c) + a^3)/sqrt(d*e*x + c*e), x)","F",0
217,0,0,0,0.594241," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x + c\right) + a^{3}\right)} \sqrt{d e x + c e}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral((b^3*arccosh(d*x + c)^3 + 3*a*b^2*arccosh(d*x + c)^2 + 3*a^2*b*arccosh(d*x + c) + a^3)*sqrt(d*e*x + c*e)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
218,0,0,0,0.773029," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x + c\right) + a^{3}\right)} \sqrt{d e x + c e}}{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}, x\right)"," ",0,"integral((b^3*arccosh(d*x + c)^3 + 3*a*b^2*arccosh(d*x + c)^2 + 3*a^2*b*arccosh(d*x + c) + a^3)*sqrt(d*e*x + c*e)/(d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3), x)","F",0
219,0,0,0,1.601350," ","integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x + c\right) + a^{3}\right)} \sqrt{d e x + c e}}{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}, x\right)"," ",0,"integral((b^3*arccosh(d*x + c)^3 + 3*a*b^2*arccosh(d*x + c)^2 + 3*a^2*b*arccosh(d*x + c) + a^3)*sqrt(d*e*x + c*e)/(d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4), x)","F",0
220,0,0,0,0.731725," ","integrate((d*e*x+c*e)^(3/2)*(a+b*arccosh(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{4} d e x + a^{4} c e + {\left(b^{4} d e x + b^{4} c e\right)} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, {\left(a b^{3} d e x + a b^{3} c e\right)} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, {\left(a^{2} b^{2} d e x + a^{2} b^{2} c e\right)} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, {\left(a^{3} b d e x + a^{3} b c e\right)} \operatorname{arcosh}\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a^4*d*e*x + a^4*c*e + (b^4*d*e*x + b^4*c*e)*arccosh(d*x + c)^4 + 4*(a*b^3*d*e*x + a*b^3*c*e)*arccosh(d*x + c)^3 + 6*(a^2*b^2*d*e*x + a^2*b^2*c*e)*arccosh(d*x + c)^2 + 4*(a^3*b*d*e*x + a^3*b*c*e)*arccosh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
221,0,0,0,0.568398," ","integrate((a+b*arccosh(d*x+c))^4*(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{4} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arcosh}\left(d x + c\right) + a^{4}\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((b^4*arccosh(d*x + c)^4 + 4*a*b^3*arccosh(d*x + c)^3 + 6*a^2*b^2*arccosh(d*x + c)^2 + 4*a^3*b*arccosh(d*x + c) + a^4)*sqrt(d*e*x + c*e), x)","F",0
222,0,0,0,0.644584," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arcosh}\left(d x + c\right) + a^{4}}{\sqrt{d e x + c e}}, x\right)"," ",0,"integral((b^4*arccosh(d*x + c)^4 + 4*a*b^3*arccosh(d*x + c)^3 + 6*a^2*b^2*arccosh(d*x + c)^2 + 4*a^3*b*arccosh(d*x + c) + a^4)/sqrt(d*e*x + c*e), x)","F",0
223,0,0,0,1.671777," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{4} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arcosh}\left(d x + c\right) + a^{4}\right)} \sqrt{d e x + c e}}{d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}}, x\right)"," ",0,"integral((b^4*arccosh(d*x + c)^4 + 4*a*b^3*arccosh(d*x + c)^3 + 6*a^2*b^2*arccosh(d*x + c)^2 + 4*a^3*b*arccosh(d*x + c) + a^4)*sqrt(d*e*x + c*e)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
224,0,0,0,0.724525," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{4} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arcosh}\left(d x + c\right) + a^{4}\right)} \sqrt{d e x + c e}}{d^{3} e^{3} x^{3} + 3 \, c d^{2} e^{3} x^{2} + 3 \, c^{2} d e^{3} x + c^{3} e^{3}}, x\right)"," ",0,"integral((b^4*arccosh(d*x + c)^4 + 4*a*b^3*arccosh(d*x + c)^3 + 6*a^2*b^2*arccosh(d*x + c)^2 + 4*a^3*b*arccosh(d*x + c) + a^4)*sqrt(d*e*x + c*e)/(d^3*e^3*x^3 + 3*c*d^2*e^3*x^2 + 3*c^2*d*e^3*x + c^3*e^3), x)","F",0
225,0,0,0,0.928987," ","integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{4} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arcosh}\left(d x + c\right) + a^{4}\right)} \sqrt{d e x + c e}}{d^{4} e^{4} x^{4} + 4 \, c d^{3} e^{4} x^{3} + 6 \, c^{2} d^{2} e^{4} x^{2} + 4 \, c^{3} d e^{4} x + c^{4} e^{4}}, x\right)"," ",0,"integral((b^4*arccosh(d*x + c)^4 + 4*a*b^3*arccosh(d*x + c)^3 + 6*a^2*b^2*arccosh(d*x + c)^2 + 4*a^3*b*arccosh(d*x + c) + a^4)*sqrt(d*e*x + c*e)/(d^4*e^4*x^4 + 4*c*d^3*e^4*x^3 + 6*c^2*d^2*e^4*x^2 + 4*c^3*d*e^4*x + c^4*e^4), x)","F",0
226,0,0,0,0.594878," ","integrate((d*e*x+c*e)^m*(a+b*arccosh(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{4} \operatorname{arcosh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arcosh}\left(d x + c\right) + a^{4}\right)} {\left(d e x + c e\right)}^{m}, x\right)"," ",0,"integral((b^4*arccosh(d*x + c)^4 + 4*a*b^3*arccosh(d*x + c)^3 + 6*a^2*b^2*arccosh(d*x + c)^2 + 4*a^3*b*arccosh(d*x + c) + a^4)*(d*e*x + c*e)^m, x)","F",0
227,0,0,0,0.643924," ","integrate((d*e*x+c*e)^m*(a+b*arccosh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} \operatorname{arcosh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x + c\right) + a^{3}\right)} {\left(d e x + c e\right)}^{m}, x\right)"," ",0,"integral((b^3*arccosh(d*x + c)^3 + 3*a*b^2*arccosh(d*x + c)^2 + 3*a^2*b*arccosh(d*x + c) + a^3)*(d*e*x + c*e)^m, x)","F",0
228,0,0,0,0.517268," ","integrate((d*e*x+c*e)^m*(a+b*arccosh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \operatorname{arcosh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x + c\right) + a^{2}\right)} {\left(d e x + c e\right)}^{m}, x\right)"," ",0,"integral((b^2*arccosh(d*x + c)^2 + 2*a*b*arccosh(d*x + c) + a^2)*(d*e*x + c*e)^m, x)","F",0
229,0,0,0,0.759167," ","integrate((d*e*x+c*e)^m*(a+b*arccosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \operatorname{arcosh}\left(d x + c\right) + a\right)} {\left(d e x + c e\right)}^{m}, x\right)"," ",0,"integral((b*arccosh(d*x + c) + a)*(d*e*x + c*e)^m, x)","F",0
230,0,0,0,0.700401," ","integrate((d*e*x+c*e)^m/(a+b*arccosh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d e x + c e\right)}^{m}}{b \operatorname{arcosh}\left(d x + c\right) + a}, x\right)"," ",0,"integral((d*e*x + c*e)^m/(b*arccosh(d*x + c) + a), x)","F",0
231,0,0,0,1.009406," ","integrate(arccosh(a*x^5)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arcosh}\left(a x^{5}\right)}{x}, x\right)"," ",0,"integral(arccosh(a*x^5)/x, x)","F",0
232,1,40,0,0.589841," ","integrate(x^2*arccosh(x^(1/2)),x, algorithm=""fricas"")","-\frac{1}{144} \, {\left(8 \, x^{2} + 10 \, x + 15\right)} \sqrt{x - 1} \sqrt{x} + \frac{1}{48} \, {\left(16 \, x^{3} - 5\right)} \log\left(\sqrt{x - 1} + \sqrt{x}\right)"," ",0,"-1/144*(8*x^2 + 10*x + 15)*sqrt(x - 1)*sqrt(x) + 1/48*(16*x^3 - 5)*log(sqrt(x - 1) + sqrt(x))","A",0
233,1,35,0,0.617832," ","integrate(x*arccosh(x^(1/2)),x, algorithm=""fricas"")","-\frac{1}{16} \, {\left(2 \, x + 3\right)} \sqrt{x - 1} \sqrt{x} + \frac{1}{16} \, {\left(8 \, x^{2} - 3\right)} \log\left(\sqrt{x - 1} + \sqrt{x}\right)"," ",0,"-1/16*(2*x + 3)*sqrt(x - 1)*sqrt(x) + 1/16*(8*x^2 - 3)*log(sqrt(x - 1) + sqrt(x))","A",0
234,1,28,0,0.829787," ","integrate(arccosh(x^(1/2)),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(2 \, x - 1\right)} \log\left(\sqrt{x - 1} + \sqrt{x}\right) - \frac{1}{2} \, \sqrt{x - 1} \sqrt{x}"," ",0,"1/2*(2*x - 1)*log(sqrt(x - 1) + sqrt(x)) - 1/2*sqrt(x - 1)*sqrt(x)","A",0
235,0,0,0,1.326849," ","integrate(arccosh(x^(1/2))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arcosh}\left(\sqrt{x}\right)}{x}, x\right)"," ",0,"integral(arccosh(sqrt(x))/x, x)","F",0
236,1,26,0,0.580055," ","integrate(arccosh(x^(1/2))/x^2,x, algorithm=""fricas"")","\frac{\sqrt{x - 1} \sqrt{x} - \log\left(\sqrt{x - 1} + \sqrt{x}\right)}{x}"," ",0,"(sqrt(x - 1)*sqrt(x) - log(sqrt(x - 1) + sqrt(x)))/x","A",0
237,1,32,0,0.621583," ","integrate(arccosh(x^(1/2))/x^3,x, algorithm=""fricas"")","\frac{{\left(2 \, x + 1\right)} \sqrt{x - 1} \sqrt{x} - 3 \, \log\left(\sqrt{x - 1} + \sqrt{x}\right)}{6 \, x^{2}}"," ",0,"1/6*((2*x + 1)*sqrt(x - 1)*sqrt(x) - 3*log(sqrt(x - 1) + sqrt(x)))/x^2","A",0
238,1,72,0,1.015223," ","integrate(arccosh(1/x),x, algorithm=""fricas"")","{\left(x - 2\right)} \log\left(\frac{x \sqrt{-\frac{x^{2} - 1}{x^{2}}} + 1}{x}\right) - 2 \, \arctan\left(\frac{x \sqrt{-\frac{x^{2} - 1}{x^{2}}} - 1}{x}\right) - 2 \, \log\left(\frac{x \sqrt{-\frac{x^{2} - 1}{x^{2}}} - 1}{x}\right)"," ",0,"(x - 2)*log((x*sqrt(-(x^2 - 1)/x^2) + 1)/x) - 2*arctan((x*sqrt(-(x^2 - 1)/x^2) - 1)/x) - 2*log((x*sqrt(-(x^2 - 1)/x^2) - 1)/x)","B",0
239,-2,0,0,0.000000," ","integrate(arccosh(a*x^n)/x,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
240,1,298,0,0.593209," ","integrate((a+b*arccosh(d*x^2+1))^4,x, algorithm=""fricas"")","\frac{b^{4} d x^{2} \log\left(d x^{2} + \sqrt{d^{2} x^{4} + 2 \, d x^{2}} + 1\right)^{4} + {\left(a^{4} + 48 \, a^{2} b^{2} + 384 \, b^{4}\right)} d x^{2} + 4 \, {\left(a b^{3} d x^{2} - 2 \, \sqrt{d^{2} x^{4} + 2 \, d x^{2}} b^{4}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{4} + 2 \, d x^{2}} + 1\right)^{3} - 6 \, {\left(4 \, \sqrt{d^{2} x^{4} + 2 \, d x^{2}} a b^{3} - {\left(a^{2} b^{2} + 8 \, b^{4}\right)} d x^{2}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{4} + 2 \, d x^{2}} + 1\right)^{2} + 4 \, {\left({\left(a^{3} b + 24 \, a b^{3}\right)} d x^{2} - 6 \, \sqrt{d^{2} x^{4} + 2 \, d x^{2}} {\left(a^{2} b^{2} + 8 \, b^{4}\right)}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{4} + 2 \, d x^{2}} + 1\right) - 8 \, \sqrt{d^{2} x^{4} + 2 \, d x^{2}} {\left(a^{3} b + 24 \, a b^{3}\right)}}{d x}"," ",0,"(b^4*d*x^2*log(d*x^2 + sqrt(d^2*x^4 + 2*d*x^2) + 1)^4 + (a^4 + 48*a^2*b^2 + 384*b^4)*d*x^2 + 4*(a*b^3*d*x^2 - 2*sqrt(d^2*x^4 + 2*d*x^2)*b^4)*log(d*x^2 + sqrt(d^2*x^4 + 2*d*x^2) + 1)^3 - 6*(4*sqrt(d^2*x^4 + 2*d*x^2)*a*b^3 - (a^2*b^2 + 8*b^4)*d*x^2)*log(d*x^2 + sqrt(d^2*x^4 + 2*d*x^2) + 1)^2 + 4*((a^3*b + 24*a*b^3)*d*x^2 - 6*sqrt(d^2*x^4 + 2*d*x^2)*(a^2*b^2 + 8*b^4))*log(d*x^2 + sqrt(d^2*x^4 + 2*d*x^2) + 1) - 8*sqrt(d^2*x^4 + 2*d*x^2)*(a^3*b + 24*a*b^3))/(d*x)","B",0
241,1,210,0,0.724686," ","integrate((a+b*arccosh(d*x^2+1))^3,x, algorithm=""fricas"")","\frac{b^{3} d x^{2} \log\left(d x^{2} + \sqrt{d^{2} x^{4} + 2 \, d x^{2}} + 1\right)^{3} + {\left(a^{3} + 24 \, a b^{2}\right)} d x^{2} + 3 \, {\left(a b^{2} d x^{2} - 2 \, \sqrt{d^{2} x^{4} + 2 \, d x^{2}} b^{3}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{4} + 2 \, d x^{2}} + 1\right)^{2} + 3 \, {\left({\left(a^{2} b + 8 \, b^{3}\right)} d x^{2} - 4 \, \sqrt{d^{2} x^{4} + 2 \, d x^{2}} a b^{2}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{4} + 2 \, d x^{2}} + 1\right) - 6 \, \sqrt{d^{2} x^{4} + 2 \, d x^{2}} {\left(a^{2} b + 8 \, b^{3}\right)}}{d x}"," ",0,"(b^3*d*x^2*log(d*x^2 + sqrt(d^2*x^4 + 2*d*x^2) + 1)^3 + (a^3 + 24*a*b^2)*d*x^2 + 3*(a*b^2*d*x^2 - 2*sqrt(d^2*x^4 + 2*d*x^2)*b^3)*log(d*x^2 + sqrt(d^2*x^4 + 2*d*x^2) + 1)^2 + 3*((a^2*b + 8*b^3)*d*x^2 - 4*sqrt(d^2*x^4 + 2*d*x^2)*a*b^2)*log(d*x^2 + sqrt(d^2*x^4 + 2*d*x^2) + 1) - 6*sqrt(d^2*x^4 + 2*d*x^2)*(a^2*b + 8*b^3))/(d*x)","A",0
242,1,131,0,0.688952," ","integrate((a+b*arccosh(d*x^2+1))^2,x, algorithm=""fricas"")","\frac{b^{2} d x^{2} \log\left(d x^{2} + \sqrt{d^{2} x^{4} + 2 \, d x^{2}} + 1\right)^{2} + {\left(a^{2} + 8 \, b^{2}\right)} d x^{2} - 4 \, \sqrt{d^{2} x^{4} + 2 \, d x^{2}} a b + 2 \, {\left(a b d x^{2} - 2 \, \sqrt{d^{2} x^{4} + 2 \, d x^{2}} b^{2}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{4} + 2 \, d x^{2}} + 1\right)}{d x}"," ",0,"(b^2*d*x^2*log(d*x^2 + sqrt(d^2*x^4 + 2*d*x^2) + 1)^2 + (a^2 + 8*b^2)*d*x^2 - 4*sqrt(d^2*x^4 + 2*d*x^2)*a*b + 2*(a*b*d*x^2 - 2*sqrt(d^2*x^4 + 2*d*x^2)*b^2)*log(d*x^2 + sqrt(d^2*x^4 + 2*d*x^2) + 1))/(d*x)","A",0
243,1,63,0,0.582753," ","integrate(a+b*arccosh(d*x^2+1),x, algorithm=""fricas"")","\frac{b d x^{2} \log\left(d x^{2} + \sqrt{d^{2} x^{4} + 2 \, d x^{2}} + 1\right) + a d x^{2} - 2 \, \sqrt{d^{2} x^{4} + 2 \, d x^{2}} b}{d x}"," ",0,"(b*d*x^2*log(d*x^2 + sqrt(d^2*x^4 + 2*d*x^2) + 1) + a*d*x^2 - 2*sqrt(d^2*x^4 + 2*d*x^2)*b)/(d*x)","A",0
244,0,0,0,0.758243," ","integrate(1/(a+b*arccosh(d*x^2+1)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \operatorname{arcosh}\left(d x^{2} + 1\right) + a}, x\right)"," ",0,"integral(1/(b*arccosh(d*x^2 + 1) + a), x)","F",0
245,0,0,0,0.604833," ","integrate(1/(a+b*arccosh(d*x^2+1))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} \operatorname{arcosh}\left(d x^{2} + 1\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x^{2} + 1\right) + a^{2}}, x\right)"," ",0,"integral(1/(b^2*arccosh(d*x^2 + 1)^2 + 2*a*b*arccosh(d*x^2 + 1) + a^2), x)","F",0
246,0,0,0,0.618114," ","integrate(1/(a+b*arccosh(d*x^2+1))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{3} \operatorname{arcosh}\left(d x^{2} + 1\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x^{2} + 1\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x^{2} + 1\right) + a^{3}}, x\right)"," ",0,"integral(1/(b^3*arccosh(d*x^2 + 1)^3 + 3*a*b^2*arccosh(d*x^2 + 1)^2 + 3*a^2*b*arccosh(d*x^2 + 1) + a^3), x)","F",0
247,1,298,0,0.606871," ","integrate((a+b*arccosh(d*x^2-1))^4,x, algorithm=""fricas"")","\frac{b^{4} d x^{2} \log\left(d x^{2} + \sqrt{d^{2} x^{4} - 2 \, d x^{2}} - 1\right)^{4} + {\left(a^{4} + 48 \, a^{2} b^{2} + 384 \, b^{4}\right)} d x^{2} + 4 \, {\left(a b^{3} d x^{2} - 2 \, \sqrt{d^{2} x^{4} - 2 \, d x^{2}} b^{4}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{4} - 2 \, d x^{2}} - 1\right)^{3} - 6 \, {\left(4 \, \sqrt{d^{2} x^{4} - 2 \, d x^{2}} a b^{3} - {\left(a^{2} b^{2} + 8 \, b^{4}\right)} d x^{2}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{4} - 2 \, d x^{2}} - 1\right)^{2} + 4 \, {\left({\left(a^{3} b + 24 \, a b^{3}\right)} d x^{2} - 6 \, \sqrt{d^{2} x^{4} - 2 \, d x^{2}} {\left(a^{2} b^{2} + 8 \, b^{4}\right)}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{4} - 2 \, d x^{2}} - 1\right) - 8 \, \sqrt{d^{2} x^{4} - 2 \, d x^{2}} {\left(a^{3} b + 24 \, a b^{3}\right)}}{d x}"," ",0,"(b^4*d*x^2*log(d*x^2 + sqrt(d^2*x^4 - 2*d*x^2) - 1)^4 + (a^4 + 48*a^2*b^2 + 384*b^4)*d*x^2 + 4*(a*b^3*d*x^2 - 2*sqrt(d^2*x^4 - 2*d*x^2)*b^4)*log(d*x^2 + sqrt(d^2*x^4 - 2*d*x^2) - 1)^3 - 6*(4*sqrt(d^2*x^4 - 2*d*x^2)*a*b^3 - (a^2*b^2 + 8*b^4)*d*x^2)*log(d*x^2 + sqrt(d^2*x^4 - 2*d*x^2) - 1)^2 + 4*((a^3*b + 24*a*b^3)*d*x^2 - 6*sqrt(d^2*x^4 - 2*d*x^2)*(a^2*b^2 + 8*b^4))*log(d*x^2 + sqrt(d^2*x^4 - 2*d*x^2) - 1) - 8*sqrt(d^2*x^4 - 2*d*x^2)*(a^3*b + 24*a*b^3))/(d*x)","B",0
248,1,210,0,0.683978," ","integrate((a+b*arccosh(d*x^2-1))^3,x, algorithm=""fricas"")","\frac{b^{3} d x^{2} \log\left(d x^{2} + \sqrt{d^{2} x^{4} - 2 \, d x^{2}} - 1\right)^{3} + {\left(a^{3} + 24 \, a b^{2}\right)} d x^{2} + 3 \, {\left(a b^{2} d x^{2} - 2 \, \sqrt{d^{2} x^{4} - 2 \, d x^{2}} b^{3}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{4} - 2 \, d x^{2}} - 1\right)^{2} + 3 \, {\left({\left(a^{2} b + 8 \, b^{3}\right)} d x^{2} - 4 \, \sqrt{d^{2} x^{4} - 2 \, d x^{2}} a b^{2}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{4} - 2 \, d x^{2}} - 1\right) - 6 \, \sqrt{d^{2} x^{4} - 2 \, d x^{2}} {\left(a^{2} b + 8 \, b^{3}\right)}}{d x}"," ",0,"(b^3*d*x^2*log(d*x^2 + sqrt(d^2*x^4 - 2*d*x^2) - 1)^3 + (a^3 + 24*a*b^2)*d*x^2 + 3*(a*b^2*d*x^2 - 2*sqrt(d^2*x^4 - 2*d*x^2)*b^3)*log(d*x^2 + sqrt(d^2*x^4 - 2*d*x^2) - 1)^2 + 3*((a^2*b + 8*b^3)*d*x^2 - 4*sqrt(d^2*x^4 - 2*d*x^2)*a*b^2)*log(d*x^2 + sqrt(d^2*x^4 - 2*d*x^2) - 1) - 6*sqrt(d^2*x^4 - 2*d*x^2)*(a^2*b + 8*b^3))/(d*x)","B",0
249,1,131,0,0.480025," ","integrate((a+b*arccosh(d*x^2-1))^2,x, algorithm=""fricas"")","\frac{b^{2} d x^{2} \log\left(d x^{2} + \sqrt{d^{2} x^{4} - 2 \, d x^{2}} - 1\right)^{2} + {\left(a^{2} + 8 \, b^{2}\right)} d x^{2} - 4 \, \sqrt{d^{2} x^{4} - 2 \, d x^{2}} a b + 2 \, {\left(a b d x^{2} - 2 \, \sqrt{d^{2} x^{4} - 2 \, d x^{2}} b^{2}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{4} - 2 \, d x^{2}} - 1\right)}{d x}"," ",0,"(b^2*d*x^2*log(d*x^2 + sqrt(d^2*x^4 - 2*d*x^2) - 1)^2 + (a^2 + 8*b^2)*d*x^2 - 4*sqrt(d^2*x^4 - 2*d*x^2)*a*b + 2*(a*b*d*x^2 - 2*sqrt(d^2*x^4 - 2*d*x^2)*b^2)*log(d*x^2 + sqrt(d^2*x^4 - 2*d*x^2) - 1))/(d*x)","A",0
250,1,63,0,1.216157," ","integrate(a+b*arccosh(d*x^2-1),x, algorithm=""fricas"")","\frac{b d x^{2} \log\left(d x^{2} + \sqrt{d^{2} x^{4} - 2 \, d x^{2}} - 1\right) + a d x^{2} - 2 \, \sqrt{d^{2} x^{4} - 2 \, d x^{2}} b}{d x}"," ",0,"(b*d*x^2*log(d*x^2 + sqrt(d^2*x^4 - 2*d*x^2) - 1) + a*d*x^2 - 2*sqrt(d^2*x^4 - 2*d*x^2)*b)/(d*x)","B",0
251,0,0,0,0.693671," ","integrate(1/(a+b*arccosh(d*x^2-1)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \operatorname{arcosh}\left(d x^{2} - 1\right) + a}, x\right)"," ",0,"integral(1/(b*arccosh(d*x^2 - 1) + a), x)","F",0
252,0,0,0,0.561139," ","integrate(1/(a+b*arccosh(d*x^2-1))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} \operatorname{arcosh}\left(d x^{2} - 1\right)^{2} + 2 \, a b \operatorname{arcosh}\left(d x^{2} - 1\right) + a^{2}}, x\right)"," ",0,"integral(1/(b^2*arccosh(d*x^2 - 1)^2 + 2*a*b*arccosh(d*x^2 - 1) + a^2), x)","F",0
253,0,0,0,0.842930," ","integrate(1/(a+b*arccosh(d*x^2-1))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{3} \operatorname{arcosh}\left(d x^{2} - 1\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(d x^{2} - 1\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(d x^{2} - 1\right) + a^{3}}, x\right)"," ",0,"integral(1/(b^3*arccosh(d*x^2 - 1)^3 + 3*a*b^2*arccosh(d*x^2 - 1)^2 + 3*a^2*b*arccosh(d*x^2 - 1) + a^3), x)","F",0
254,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2+1))^(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
255,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2+1))^(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
256,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2+1))^(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
257,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2+1))^(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
258,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2+1))^(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
259,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2+1))^(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
260,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2+1))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
261,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2-1))^(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
262,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2-1))^(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
263,-2,0,0,0.000000," ","integrate((a+b*arccosh(d*x^2-1))^(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
264,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2-1))^(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
265,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2-1))^(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
266,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2-1))^(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
267,-2,0,0,0.000000," ","integrate(1/(a+b*arccosh(d*x^2-1))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
268,0,0,0,0.717073," ","integrate((a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-c^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b \operatorname{arcosh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{n}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b*arccosh(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^n/(c^2*x^2 - 1), x)","F",0
269,0,0,0,0.525485," ","integrate((a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^3/(-c^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b^{3} \operatorname{arcosh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{3} + 3 \, a b^{2} \operatorname{arcosh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{2} + 3 \, a^{2} b \operatorname{arcosh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a^{3}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b^3*arccosh(sqrt(-c*x + 1)/sqrt(c*x + 1))^3 + 3*a*b^2*arccosh(sqrt(-c*x + 1)/sqrt(c*x + 1))^2 + 3*a^2*b*arccosh(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a^3)/(c^2*x^2 - 1), x)","F",0
270,0,0,0,0.621969," ","integrate((a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2/(-c^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b^{2} \operatorname{arcosh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{2} + 2 \, a b \operatorname{arcosh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a^{2}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b^2*arccosh(sqrt(-c*x + 1)/sqrt(c*x + 1))^2 + 2*a*b*arccosh(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a^2)/(c^2*x^2 - 1), x)","F",0
271,0,0,0,0.458120," ","integrate((a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))/(-c^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{arcosh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b*arccosh(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)/(c^2*x^2 - 1), x)","F",0
272,0,0,0,0.521964," ","integrate(1/(-c^2*x^2+1)/(a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{a c^{2} x^{2} + {\left(b c^{2} x^{2} - b\right)} \operatorname{arcosh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) - a}, x\right)"," ",0,"integral(-1/(a*c^2*x^2 + (b*c^2*x^2 - b)*arccosh(sqrt(-c*x + 1)/sqrt(c*x + 1)) - a), x)","F",0
273,0,0,0,0.558379," ","integrate(1/(-c^2*x^2+1)/(a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{a^{2} c^{2} x^{2} + {\left(b^{2} c^{2} x^{2} - b^{2}\right)} \operatorname{arcosh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{2} - a^{2} + 2 \, {\left(a b c^{2} x^{2} - a b\right)} \operatorname{arcosh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)}, x\right)"," ",0,"integral(-1/(a^2*c^2*x^2 + (b^2*c^2*x^2 - b^2)*arccosh(sqrt(-c*x + 1)/sqrt(c*x + 1))^2 - a^2 + 2*(a*b*c^2*x^2 - a*b)*arccosh(sqrt(-c*x + 1)/sqrt(c*x + 1))), x)","F",0
274,-2,0,0,0.000000," ","integrate(arccosh(c*exp(b*x+a)),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
275,1,133,0,0.778111," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))*x^3,x, algorithm=""fricas"")","\frac{24 \, b^{5} x^{5} + 30 \, a b^{4} x^{4} + {\left(24 \, b^{4} x^{4} + 6 \, a b^{3} x^{3} - 2 \, {\left(3 \, a^{2} + 4\right)} b^{2} x^{2} - 6 \, a^{4} + {\left(6 \, a^{3} + 29 \, a\right)} b x - 83 \, a^{2} - 16\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} - 15 \, {\left(4 \, a^{3} + 3 \, a\right)} \log\left(-b x + \sqrt{b x + a + 1} \sqrt{b x + a - 1} - a\right)}{120 \, b^{4}}"," ",0,"1/120*(24*b^5*x^5 + 30*a*b^4*x^4 + (24*b^4*x^4 + 6*a*b^3*x^3 - 2*(3*a^2 + 4)*b^2*x^2 - 6*a^4 + (6*a^3 + 29*a)*b*x - 83*a^2 - 16)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - 15*(4*a^3 + 3*a)*log(-b*x + sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - a))/b^4","A",0
276,1,112,0,0.551166," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))*x^2,x, algorithm=""fricas"")","\frac{6 \, b^{4} x^{4} + 8 \, a b^{3} x^{3} + {\left(6 \, b^{3} x^{3} + 2 \, a b^{2} x^{2} + 2 \, a^{3} - {\left(2 \, a^{2} + 3\right)} b x + 13 \, a\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} + 3 \, {\left(4 \, a^{2} + 1\right)} \log\left(-b x + \sqrt{b x + a + 1} \sqrt{b x + a - 1} - a\right)}{24 \, b^{3}}"," ",0,"1/24*(6*b^4*x^4 + 8*a*b^3*x^3 + (6*b^3*x^3 + 2*a*b^2*x^2 + 2*a^3 - (2*a^2 + 3)*b*x + 13*a)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) + 3*(4*a^2 + 1)*log(-b*x + sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - a))/b^3","A",0
277,1,88,0,0.624772," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))*x,x, algorithm=""fricas"")","\frac{2 \, b^{3} x^{3} + 3 \, a b^{2} x^{2} + {\left(2 \, b^{2} x^{2} + a b x - a^{2} - 2\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} - 3 \, a \log\left(-b x + \sqrt{b x + a + 1} \sqrt{b x + a - 1} - a\right)}{6 \, b^{2}}"," ",0,"1/6*(2*b^3*x^3 + 3*a*b^2*x^2 + (2*b^2*x^2 + a*b*x - a^2 - 2)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - 3*a*log(-b*x + sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - a))/b^2","A",0
278,1,66,0,0.526788," ","integrate(b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2),x, algorithm=""fricas"")","\frac{b^{2} x^{2} + 2 \, a b x + \sqrt{b x + a + 1} {\left(b x + a\right)} \sqrt{b x + a - 1} + \log\left(-b x + \sqrt{b x + a + 1} \sqrt{b x + a - 1} - a\right)}{2 \, b}"," ",0,"1/2*(b^2*x^2 + 2*a*b*x + sqrt(b*x + a + 1)*(b*x + a)*sqrt(b*x + a - 1) + log(-b*x + sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - a))/b","A",0
279,1,246,0,0.979878," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x,x, algorithm=""fricas"")","\left[b x - a \log\left(-b x + \sqrt{b x + a + 1} \sqrt{b x + a - 1} - a\right) + a \log\left(x\right) + \sqrt{a^{2} - 1} \log\left(\frac{a^{2} b x + a^{3} + {\left(a^{2} - \sqrt{a^{2} - 1} a - 1\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} - {\left(a b x + a^{2} - 1\right)} \sqrt{a^{2} - 1} - a}{x}\right) + \sqrt{b x + a + 1} \sqrt{b x + a - 1}, b x - a \log\left(-b x + \sqrt{b x + a + 1} \sqrt{b x + a - 1} - a\right) + a \log\left(x\right) + 2 \, \sqrt{-a^{2} + 1} \arctan\left(-\frac{\sqrt{-a^{2} + 1} b x - \sqrt{-a^{2} + 1} \sqrt{b x + a + 1} \sqrt{b x + a - 1}}{a^{2} - 1}\right) + \sqrt{b x + a + 1} \sqrt{b x + a - 1}\right]"," ",0,"[b*x - a*log(-b*x + sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - a) + a*log(x) + sqrt(a^2 - 1)*log((a^2*b*x + a^3 + (a^2 - sqrt(a^2 - 1)*a - 1)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - (a*b*x + a^2 - 1)*sqrt(a^2 - 1) - a)/x) + sqrt(b*x + a + 1)*sqrt(b*x + a - 1), b*x - a*log(-b*x + sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - a) + a*log(x) + 2*sqrt(-a^2 + 1)*arctan(-(sqrt(-a^2 + 1)*b*x - sqrt(-a^2 + 1)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1))/(a^2 - 1)) + sqrt(b*x + a + 1)*sqrt(b*x + a - 1)]","A",0
280,1,334,0,0.495800," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x^2,x, algorithm=""fricas"")","\left[\frac{\sqrt{a^{2} - 1} a b x \log\left(\frac{a^{2} b x + a^{3} + {\left(a^{2} - \sqrt{a^{2} - 1} a - 1\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} - {\left(a b x + a^{2} - 1\right)} \sqrt{a^{2} - 1} - a}{x}\right) - {\left(a^{2} - 1\right)} b x \log\left(-b x + \sqrt{b x + a + 1} \sqrt{b x + a - 1} - a\right) + {\left(a^{2} - 1\right)} b x \log\left(x\right) - a^{3} - {\left(a^{2} - 1\right)} b x - {\left(a^{2} - 1\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} + a}{{\left(a^{2} - 1\right)} x}, \frac{2 \, \sqrt{-a^{2} + 1} a b x \arctan\left(-\frac{\sqrt{-a^{2} + 1} b x - \sqrt{-a^{2} + 1} \sqrt{b x + a + 1} \sqrt{b x + a - 1}}{a^{2} - 1}\right) - {\left(a^{2} - 1\right)} b x \log\left(-b x + \sqrt{b x + a + 1} \sqrt{b x + a - 1} - a\right) + {\left(a^{2} - 1\right)} b x \log\left(x\right) - a^{3} - {\left(a^{2} - 1\right)} b x - {\left(a^{2} - 1\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} + a}{{\left(a^{2} - 1\right)} x}\right]"," ",0,"[(sqrt(a^2 - 1)*a*b*x*log((a^2*b*x + a^3 + (a^2 - sqrt(a^2 - 1)*a - 1)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - (a*b*x + a^2 - 1)*sqrt(a^2 - 1) - a)/x) - (a^2 - 1)*b*x*log(-b*x + sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - a) + (a^2 - 1)*b*x*log(x) - a^3 - (a^2 - 1)*b*x - (a^2 - 1)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) + a)/((a^2 - 1)*x), (2*sqrt(-a^2 + 1)*a*b*x*arctan(-(sqrt(-a^2 + 1)*b*x - sqrt(-a^2 + 1)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1))/(a^2 - 1)) - (a^2 - 1)*b*x*log(-b*x + sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - a) + (a^2 - 1)*b*x*log(x) - a^3 - (a^2 - 1)*b*x - (a^2 - 1)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) + a)/((a^2 - 1)*x)]","A",0
281,1,338,0,0.468158," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x^3,x, algorithm=""fricas"")","\left[\frac{\sqrt{a^{2} - 1} b^{2} x^{2} \log\left(\frac{a^{2} b x + a^{3} + {\left(a^{2} + \sqrt{a^{2} - 1} a - 1\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} + {\left(a b x + a^{2} - 1\right)} \sqrt{a^{2} - 1} - a}{x}\right) - a^{5} - {\left(a^{3} - a\right)} b^{2} x^{2} + 2 \, a^{3} - 2 \, {\left(a^{4} - 2 \, a^{2} + 1\right)} b x - {\left(a^{4} + {\left(a^{3} - a\right)} b x - 2 \, a^{2} + 1\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} - a}{2 \, {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2}}, -\frac{2 \, \sqrt{-a^{2} + 1} b^{2} x^{2} \arctan\left(-\frac{\sqrt{-a^{2} + 1} b x - \sqrt{-a^{2} + 1} \sqrt{b x + a + 1} \sqrt{b x + a - 1}}{a^{2} - 1}\right) + a^{5} + {\left(a^{3} - a\right)} b^{2} x^{2} - 2 \, a^{3} + 2 \, {\left(a^{4} - 2 \, a^{2} + 1\right)} b x + {\left(a^{4} + {\left(a^{3} - a\right)} b x - 2 \, a^{2} + 1\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} + a}{2 \, {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2}}\right]"," ",0,"[1/2*(sqrt(a^2 - 1)*b^2*x^2*log((a^2*b*x + a^3 + (a^2 + sqrt(a^2 - 1)*a - 1)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) + (a*b*x + a^2 - 1)*sqrt(a^2 - 1) - a)/x) - a^5 - (a^3 - a)*b^2*x^2 + 2*a^3 - 2*(a^4 - 2*a^2 + 1)*b*x - (a^4 + (a^3 - a)*b*x - 2*a^2 + 1)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - a)/((a^4 - 2*a^2 + 1)*x^2), -1/2*(2*sqrt(-a^2 + 1)*b^2*x^2*arctan(-(sqrt(-a^2 + 1)*b*x - sqrt(-a^2 + 1)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1))/(a^2 - 1)) + a^5 + (a^3 - a)*b^2*x^2 - 2*a^3 + 2*(a^4 - 2*a^2 + 1)*b*x + (a^4 + (a^3 - a)*b*x - 2*a^2 + 1)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) + a)/((a^4 - 2*a^2 + 1)*x^2)]","A",0
282,1,431,0,2.072757," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x^4,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a^{2} - 1} a b^{3} x^{3} \log\left(\frac{a^{2} b x + a^{3} + {\left(a^{2} - \sqrt{a^{2} - 1} a - 1\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} - {\left(a b x + a^{2} - 1\right)} \sqrt{a^{2} - 1} - a}{x}\right) - 2 \, a^{7} + {\left(a^{4} + a^{2} - 2\right)} b^{3} x^{3} + 6 \, a^{5} - 6 \, a^{3} - 3 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} b x - {\left(2 \, a^{6} - {\left(a^{4} + a^{2} - 2\right)} b^{2} x^{2} - 6 \, a^{4} + {\left(a^{5} - 2 \, a^{3} + a\right)} b x + 6 \, a^{2} - 2\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} + 2 \, a}{6 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3}}, \frac{6 \, \sqrt{-a^{2} + 1} a b^{3} x^{3} \arctan\left(-\frac{\sqrt{-a^{2} + 1} b x - \sqrt{-a^{2} + 1} \sqrt{b x + a + 1} \sqrt{b x + a - 1}}{a^{2} - 1}\right) - 2 \, a^{7} + {\left(a^{4} + a^{2} - 2\right)} b^{3} x^{3} + 6 \, a^{5} - 6 \, a^{3} - 3 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} b x - {\left(2 \, a^{6} - {\left(a^{4} + a^{2} - 2\right)} b^{2} x^{2} - 6 \, a^{4} + {\left(a^{5} - 2 \, a^{3} + a\right)} b x + 6 \, a^{2} - 2\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} + 2 \, a}{6 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3}}\right]"," ",0,"[1/6*(3*sqrt(a^2 - 1)*a*b^3*x^3*log((a^2*b*x + a^3 + (a^2 - sqrt(a^2 - 1)*a - 1)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - (a*b*x + a^2 - 1)*sqrt(a^2 - 1) - a)/x) - 2*a^7 + (a^4 + a^2 - 2)*b^3*x^3 + 6*a^5 - 6*a^3 - 3*(a^6 - 3*a^4 + 3*a^2 - 1)*b*x - (2*a^6 - (a^4 + a^2 - 2)*b^2*x^2 - 6*a^4 + (a^5 - 2*a^3 + a)*b*x + 6*a^2 - 2)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) + 2*a)/((a^6 - 3*a^4 + 3*a^2 - 1)*x^3), 1/6*(6*sqrt(-a^2 + 1)*a*b^3*x^3*arctan(-(sqrt(-a^2 + 1)*b*x - sqrt(-a^2 + 1)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1))/(a^2 - 1)) - 2*a^7 + (a^4 + a^2 - 2)*b^3*x^3 + 6*a^5 - 6*a^3 - 3*(a^6 - 3*a^4 + 3*a^2 - 1)*b*x - (2*a^6 - (a^4 + a^2 - 2)*b^2*x^2 - 6*a^4 + (a^5 - 2*a^3 + a)*b*x + 6*a^2 - 2)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) + 2*a)/((a^6 - 3*a^4 + 3*a^2 - 1)*x^3)]","A",0
283,1,569,0,0.946649," ","integrate((b*x+a+(b*x+a-1)^(1/2)*(b*x+a+1)^(1/2))/x^5,x, algorithm=""fricas"")","\left[\frac{3 \, {\left(4 \, a^{2} + 1\right)} \sqrt{a^{2} - 1} b^{4} x^{4} \log\left(\frac{a^{2} b x + a^{3} + {\left(a^{2} + \sqrt{a^{2} - 1} a - 1\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} + {\left(a b x + a^{2} - 1\right)} \sqrt{a^{2} - 1} - a}{x}\right) - 6 \, a^{9} - {\left(2 \, a^{5} + 11 \, a^{3} - 13 \, a\right)} b^{4} x^{4} + 24 \, a^{7} - 36 \, a^{5} + 24 \, a^{3} - 8 \, {\left(a^{8} - 4 \, a^{6} + 6 \, a^{4} - 4 \, a^{2} + 1\right)} b x - {\left(6 \, a^{8} + {\left(2 \, a^{5} + 11 \, a^{3} - 13 \, a\right)} b^{3} x^{3} - 24 \, a^{6} - {\left(2 \, a^{6} - a^{4} - 4 \, a^{2} + 3\right)} b^{2} x^{2} + 36 \, a^{4} + 2 \, {\left(a^{7} - 3 \, a^{5} + 3 \, a^{3} - a\right)} b x - 24 \, a^{2} + 6\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} - 6 \, a}{24 \, {\left(a^{8} - 4 \, a^{6} + 6 \, a^{4} - 4 \, a^{2} + 1\right)} x^{4}}, -\frac{6 \, {\left(4 \, a^{2} + 1\right)} \sqrt{-a^{2} + 1} b^{4} x^{4} \arctan\left(-\frac{\sqrt{-a^{2} + 1} b x - \sqrt{-a^{2} + 1} \sqrt{b x + a + 1} \sqrt{b x + a - 1}}{a^{2} - 1}\right) + 6 \, a^{9} + {\left(2 \, a^{5} + 11 \, a^{3} - 13 \, a\right)} b^{4} x^{4} - 24 \, a^{7} + 36 \, a^{5} - 24 \, a^{3} + 8 \, {\left(a^{8} - 4 \, a^{6} + 6 \, a^{4} - 4 \, a^{2} + 1\right)} b x + {\left(6 \, a^{8} + {\left(2 \, a^{5} + 11 \, a^{3} - 13 \, a\right)} b^{3} x^{3} - 24 \, a^{6} - {\left(2 \, a^{6} - a^{4} - 4 \, a^{2} + 3\right)} b^{2} x^{2} + 36 \, a^{4} + 2 \, {\left(a^{7} - 3 \, a^{5} + 3 \, a^{3} - a\right)} b x - 24 \, a^{2} + 6\right)} \sqrt{b x + a + 1} \sqrt{b x + a - 1} + 6 \, a}{24 \, {\left(a^{8} - 4 \, a^{6} + 6 \, a^{4} - 4 \, a^{2} + 1\right)} x^{4}}\right]"," ",0,"[1/24*(3*(4*a^2 + 1)*sqrt(a^2 - 1)*b^4*x^4*log((a^2*b*x + a^3 + (a^2 + sqrt(a^2 - 1)*a - 1)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) + (a*b*x + a^2 - 1)*sqrt(a^2 - 1) - a)/x) - 6*a^9 - (2*a^5 + 11*a^3 - 13*a)*b^4*x^4 + 24*a^7 - 36*a^5 + 24*a^3 - 8*(a^8 - 4*a^6 + 6*a^4 - 4*a^2 + 1)*b*x - (6*a^8 + (2*a^5 + 11*a^3 - 13*a)*b^3*x^3 - 24*a^6 - (2*a^6 - a^4 - 4*a^2 + 3)*b^2*x^2 + 36*a^4 + 2*(a^7 - 3*a^5 + 3*a^3 - a)*b*x - 24*a^2 + 6)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) - 6*a)/((a^8 - 4*a^6 + 6*a^4 - 4*a^2 + 1)*x^4), -1/24*(6*(4*a^2 + 1)*sqrt(-a^2 + 1)*b^4*x^4*arctan(-(sqrt(-a^2 + 1)*b*x - sqrt(-a^2 + 1)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1))/(a^2 - 1)) + 6*a^9 + (2*a^5 + 11*a^3 - 13*a)*b^4*x^4 - 24*a^7 + 36*a^5 - 24*a^3 + 8*(a^8 - 4*a^6 + 6*a^4 - 4*a^2 + 1)*b*x + (6*a^8 + (2*a^5 + 11*a^3 - 13*a)*b^3*x^3 - 24*a^6 - (2*a^6 - a^4 - 4*a^2 + 3)*b^2*x^2 + 36*a^4 + 2*(a^7 - 3*a^5 + 3*a^3 - a)*b*x - 24*a^2 + 6)*sqrt(b*x + a + 1)*sqrt(b*x + a - 1) + 6*a)/((a^8 - 4*a^6 + 6*a^4 - 4*a^2 + 1)*x^4)]","A",0
284,0,0,0,0.687053," ","integrate(exp(arccosh(b*x+a)^2)*x^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{3} e^{\left(\operatorname{arcosh}\left(b x + a\right)^{2}\right)}, x\right)"," ",0,"integral(x^3*e^(arccosh(b*x + a)^2), x)","F",0
285,0,0,0,0.672210," ","integrate(exp(arccosh(b*x+a)^2)*x^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{2} e^{\left(\operatorname{arcosh}\left(b x + a\right)^{2}\right)}, x\right)"," ",0,"integral(x^2*e^(arccosh(b*x + a)^2), x)","F",0
286,0,0,0,0.645388," ","integrate(exp(arccosh(b*x+a)^2)*x,x, algorithm=""fricas"")","{\rm integral}\left(x e^{\left(\operatorname{arcosh}\left(b x + a\right)^{2}\right)}, x\right)"," ",0,"integral(x*e^(arccosh(b*x + a)^2), x)","F",0
287,0,0,0,0.518278," ","integrate(exp(arccosh(b*x+a)^2),x, algorithm=""fricas"")","{\rm integral}\left(e^{\left(\operatorname{arcosh}\left(b x + a\right)^{2}\right)}, x\right)"," ",0,"integral(e^(arccosh(b*x + a)^2), x)","F",0
288,0,0,0,0.622673," ","integrate(exp(arccosh(b*x+a)^2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\operatorname{arcosh}\left(b x + a\right)^{2}\right)}}{x}, x\right)"," ",0,"integral(e^(arccosh(b*x + a)^2)/x, x)","F",0
289,0,0,0,0.538505," ","integrate(exp(arccosh(b*x+a)^2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\operatorname{arcosh}\left(b x + a\right)^{2}\right)}}{x^{2}}, x\right)"," ",0,"integral(e^(arccosh(b*x + a)^2)/x^2, x)","F",0
290,0,0,0,0.745123," ","integrate(arccosh(b*x+a)/(a*d/b+d*x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arcosh}\left(b x + a\right)}{b d x + a d}, x\right)"," ",0,"integral(b*arccosh(b*x + a)/(b*d*x + a*d), x)","F",0
291,0,0,0,0.609464," ","integrate(x/arccosh(x)/(-1+x)^(1/2)/(1+x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{x + 1} \sqrt{x - 1} x}{{\left(x^{2} - 1\right)} \operatorname{arcosh}\left(x\right)}, x\right)"," ",0,"integral(sqrt(x + 1)*sqrt(x - 1)*x/((x^2 - 1)*arccosh(x)), x)","F",0
292,1,66,0,0.506718," ","integrate(x^3*arccosh(b*x^4+a),x, algorithm=""fricas"")","\frac{{\left(b x^{4} + a\right)} \log\left(b x^{4} + a + \sqrt{b^{2} x^{8} + 2 \, a b x^{4} + a^{2} - 1}\right) - \sqrt{b^{2} x^{8} + 2 \, a b x^{4} + a^{2} - 1}}{4 \, b}"," ",0,"1/4*((b*x^4 + a)*log(b*x^4 + a + sqrt(b^2*x^8 + 2*a*b*x^4 + a^2 - 1)) - sqrt(b^2*x^8 + 2*a*b*x^4 + a^2 - 1))/b","A",0
293,1,152,0,0.710248," ","integrate(x^(-1+n)*arccosh(a+b*x^n),x, algorithm=""fricas"")","\frac{{\left(b \cosh\left(n \log\left(x\right)\right) + b \sinh\left(n \log\left(x\right)\right) + a\right)} \log\left(b \cosh\left(n \log\left(x\right)\right) + b \sinh\left(n \log\left(x\right)\right) + a + \sqrt{\frac{2 \, a b + {\left(a^{2} + b^{2} - 1\right)} \cosh\left(n \log\left(x\right)\right) - {\left(a^{2} - b^{2} - 1\right)} \sinh\left(n \log\left(x\right)\right)}{\cosh\left(n \log\left(x\right)\right) - \sinh\left(n \log\left(x\right)\right)}}\right) - \sqrt{\frac{2 \, a b + {\left(a^{2} + b^{2} - 1\right)} \cosh\left(n \log\left(x\right)\right) - {\left(a^{2} - b^{2} - 1\right)} \sinh\left(n \log\left(x\right)\right)}{\cosh\left(n \log\left(x\right)\right) - \sinh\left(n \log\left(x\right)\right)}}}{b n}"," ",0,"((b*cosh(n*log(x)) + b*sinh(n*log(x)) + a)*log(b*cosh(n*log(x)) + b*sinh(n*log(x)) + a + sqrt((2*a*b + (a^2 + b^2 - 1)*cosh(n*log(x)) - (a^2 - b^2 - 1)*sinh(n*log(x)))/(cosh(n*log(x)) - sinh(n*log(x))))) - sqrt((2*a*b + (a^2 + b^2 - 1)*cosh(n*log(x)) - (a^2 - b^2 - 1)*sinh(n*log(x)))/(cosh(n*log(x)) - sinh(n*log(x)))))/(b*n)","B",0
294,1,276,0,0.623477," ","integrate(arccosh(c/(b*x+a)),x, algorithm=""fricas"")","\frac{2 \, b x \log\left(\frac{{\left(b x + a\right)} \sqrt{-\frac{b^{2} x^{2} + 2 \, a b x + a^{2} - c^{2}}{b^{2} x^{2} + 2 \, a b x + a^{2}}} + c}{b x + a}\right) - 2 \, c \arctan\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{-\frac{b^{2} x^{2} + 2 \, a b x + a^{2} - c^{2}}{b^{2} x^{2} + 2 \, a b x + a^{2}}}}{b^{2} x^{2} + 2 \, a b x + a^{2} - c^{2}}\right) + a \log\left(\frac{{\left(b x + a\right)} \sqrt{-\frac{b^{2} x^{2} + 2 \, a b x + a^{2} - c^{2}}{b^{2} x^{2} + 2 \, a b x + a^{2}}} + c}{x}\right) - a \log\left(\frac{{\left(b x + a\right)} \sqrt{-\frac{b^{2} x^{2} + 2 \, a b x + a^{2} - c^{2}}{b^{2} x^{2} + 2 \, a b x + a^{2}}} - c}{x}\right)}{2 \, b}"," ",0,"1/2*(2*b*x*log(((b*x + a)*sqrt(-(b^2*x^2 + 2*a*b*x + a^2 - c^2)/(b^2*x^2 + 2*a*b*x + a^2)) + c)/(b*x + a)) - 2*c*arctan((b^2*x^2 + 2*a*b*x + a^2)*sqrt(-(b^2*x^2 + 2*a*b*x + a^2 - c^2)/(b^2*x^2 + 2*a*b*x + a^2))/(b^2*x^2 + 2*a*b*x + a^2 - c^2)) + a*log(((b*x + a)*sqrt(-(b^2*x^2 + 2*a*b*x + a^2 - c^2)/(b^2*x^2 + 2*a*b*x + a^2)) + c)/x) - a*log(((b*x + a)*sqrt(-(b^2*x^2 + 2*a*b*x + a^2 - c^2)/(b^2*x^2 + 2*a*b*x + a^2)) - c)/x))/b","B",0
295,1,108,0,0.654325," ","integrate(arccosh((b*x^2+1)^(1/2))^n/(b*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{b x^{2}} \cosh\left(n \log\left(\log\left(\sqrt{b x^{2} + 1} + \sqrt{b x^{2}}\right)\right)\right) \log\left(\sqrt{b x^{2} + 1} + \sqrt{b x^{2}}\right) + \sqrt{b x^{2}} \log\left(\sqrt{b x^{2} + 1} + \sqrt{b x^{2}}\right) \sinh\left(n \log\left(\log\left(\sqrt{b x^{2} + 1} + \sqrt{b x^{2}}\right)\right)\right)}{{\left(b n + b\right)} x}"," ",0,"(sqrt(b*x^2)*cosh(n*log(log(sqrt(b*x^2 + 1) + sqrt(b*x^2))))*log(sqrt(b*x^2 + 1) + sqrt(b*x^2)) + sqrt(b*x^2)*log(sqrt(b*x^2 + 1) + sqrt(b*x^2))*sinh(n*log(log(sqrt(b*x^2 + 1) + sqrt(b*x^2)))))/((b*n + b)*x)","B",0
296,1,33,0,1.591236," ","integrate(1/arccosh((b*x^2+1)^(1/2))/(b*x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{b x^{2}} \log\left(\log\left(\sqrt{b x^{2} + 1} + \sqrt{b x^{2}}\right)\right)}{b x}"," ",0,"sqrt(b*x^2)*log(log(sqrt(b*x^2 + 1) + sqrt(b*x^2)))/(b*x)","A",0
