1,0,0,0,0.592499," ","integrate(arcsinh(c*x)/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(c x\right)}{e x + d}, x\right)"," ",0,"integral(arcsinh(c*x)/(e*x + d), x)","F",0
2,0,0,0,0.532793," ","integrate(arcsinh(c*x)^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(c x\right)^{2}}{e x + d}, x\right)"," ",0,"integral(arcsinh(c*x)^2/(e*x + d), x)","F",0
3,0,0,0,0.539538," ","integrate(arcsinh(c*x)^3/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(c x\right)^{3}}{e x + d}, x\right)"," ",0,"integral(arcsinh(c*x)^3/(e*x + d), x)","F",0
4,1,214,0,0.768930," ","integrate((e*x+d)^3*(a+b*arcsinh(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
5,1,147,0,0.573814," ","integrate((e*x+d)^2*(a+b*arcsinh(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
6,1,87,0,0.476578," ","integrate((e*x+d)*(a+b*arcsinh(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
7,1,43,0,0.559854," ","integrate(a+b*arcsinh(c*x),x, algorithm=""fricas"")","\frac{b c x \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right) + a c x - \sqrt{c^{2} x^{2} + 1} b}{c}"," ",0,"(b*c*x*log(c*x + sqrt(c^2*x^2 + 1)) + a*c*x - sqrt(c^2*x^2 + 1)*b)/c","A",0
8,0,0,0,0.573204," ","integrate((a+b*arcsinh(c*x))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\left(c x\right) + a}{e x + d}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)/(e*x + d), x)","F",0
9,1,253,0,0.662878," ","integrate((a+b*arcsinh(c*x))/(e*x+d)^2,x, algorithm=""fricas"")","-\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}"," ",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)","B",0
10,1,566,0,0.763769," ","integrate((a+b*arcsinh(c*x))/(e*x+d)^3,x, algorithm=""fricas"")","-\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)}}"," ",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)","B",0
11,1,977,0,1.672848," ","integrate((a+b*arcsinh(c*x))/(e*x+d)^4,x, algorithm=""fricas"")","-\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)}}"," ",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)","B",0
12,1,475,0,0.686236," ","integrate((e*x+d)^3*(a+b*arcsinh(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
13,1,319,0,0.614773," ","integrate((e*x+d)^2*(a+b*arcsinh(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
14,1,183,0,0.633093," ","integrate((e*x+d)*(a+b*arcsinh(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
15,1,96,0,0.453557," ","integrate((a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","\frac{b^{2} c x \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)^{2} + {\left(a^{2} + 2 \, b^{2}\right)} c x - 2 \, \sqrt{c^{2} x^{2} + 1} a b + 2 \, {\left(a b c x - \sqrt{c^{2} x^{2} + 1} b^{2}\right)} \log\left(c x + \sqrt{c^{2} x^{2} + 1}\right)}{c}"," ",0,"(b^2*c*x*log(c*x + sqrt(c^2*x^2 + 1))^2 + (a^2 + 2*b^2)*c*x - 2*sqrt(c^2*x^2 + 1)*a*b + 2*(a*b*c*x - sqrt(c^2*x^2 + 1)*b^2)*log(c*x + sqrt(c^2*x^2 + 1)))/c","B",0
16,0,0,0,0.673539," ","integrate((a+b*arcsinh(c*x))^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{e x + d}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(e*x + d), x)","F",0
17,0,0,0,0.836336," ","integrate((a+b*arcsinh(c*x))^2/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
18,0,0,0,0.662788," ","integrate((a+b*arcsinh(c*x))^2/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
19,0,0,0,0.591699," ","integrate((e*x+d)^3/(a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a), x)","F",0
20,0,0,0,0.751822," ","integrate((e*x+d)^2/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{2} x^{2} + 2 \, d e x + d^{2}}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral((e^2*x^2 + 2*d*e*x + d^2)/(b*arcsinh(c*x) + a), x)","F",0
21,0,0,0,0.524288," ","integrate((e*x+d)/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x + d}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral((e*x + d)/(b*arcsinh(c*x) + a), x)","F",0
22,0,0,0,0.583927," ","integrate(1/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral(1/(b*arcsinh(c*x) + a), x)","F",0
23,0,0,0,0.606359," ","integrate(1/(e*x+d)/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a e x + a d + {\left(b e x + b d\right)} \operatorname{arsinh}\left(c x\right)}, x\right)"," ",0,"integral(1/(a*e*x + a*d + (b*e*x + b*d)*arcsinh(c*x)), x)","F",0
24,0,0,0,0.559221," ","integrate(1/(e*x+d)^2/(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x)), x)","F",0
25,0,0,0,0.483746," ","integrate((e*x+d)^2/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{2} x^{2} + 2 \, d e x + d^{2}}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((e^2*x^2 + 2*d*e*x + d^2)/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
26,0,0,0,0.571619," ","integrate((e*x+d)/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e x + d}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((e*x + d)/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
27,0,0,0,0.450026," ","integrate(1/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral(1/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
28,0,0,0,0.530936," ","integrate(1/(e*x+d)/(a+b*arcsinh(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{arsinh}\left(c x\right)^{2} + 2 \, {\left(a b e x + a b d\right)} \operatorname{arsinh}\left(c x\right)}, x\right)"," ",0,"integral(1/(a^2*e*x + a^2*d + (b^2*e*x + b^2*d)*arcsinh(c*x)^2 + 2*(a*b*e*x + a*b*d)*arcsinh(c*x)), x)","F",0
29,0,0,0,0.646409," ","integrate(1/(e*x+d)^2/(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(c*x)^2 + 2*(a*b*e^2*x^2 + 2*a*b*d*e*x + a*b*d^2)*arcsinh(c*x)), x)","F",0
30,0,0,0,0.560352," ","integrate((e*x+d)^m*(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}\right)} {\left(e x + d\right)}^{m}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)*(e*x + d)^m, x)","F",0
31,0,0,0,0.564804," ","integrate((e*x+d)^m*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \operatorname{arsinh}\left(c x\right) + a\right)} {\left(e x + d\right)}^{m}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)*(e*x + d)^m, x)","F",0
32,0,0,0,0.469316," ","integrate((e*x+d)^m/(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(e x + d\right)}^{m}}{b \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral((e*x + d)^m/(b*arcsinh(c*x) + a), x)","F",0
33,0,0,0,0.567584," ","integrate((e*x+d)^m/(a+b*arcsinh(c*x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(e x + d\right)}^{m}}{b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}}, x\right)"," ",0,"integral((e*x + d)^m/(b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2), x)","F",0
34,0,0,0,0.564581," ","integrate((g*x+f)^3*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d), x)","F",0
35,0,0,0,0.545690," ","integrate((g*x+f)^2*(a+b*arcsinh(c*x))*(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c^{2} d x^{2} + d} {\left(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{arsinh}\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)*arcsinh(c*x)), x)","F",0
36,0,0,0,0.628906," ","integrate((g*x+f)*(a+b*arcsinh(c*x))*(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c^{2} d x^{2} + d} {\left(a g x + a f + {\left(b g x + b f\right)} \operatorname{arsinh}\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)*arcsinh(c*x)), x)","F",0
37,0,0,0,0.465951," ","integrate((a+b*arcsinh(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{arsinh}\left(c x\right) + a\right)}}{g x + f}, x\right)"," ",0,"integral(sqrt(c^2*d*x^2 + d)*(b*arcsinh(c*x) + a)/(g*x + f), x)","F",0
38,0,0,0,0.528800," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
39,0,0,0,0.523598," ","integrate((g*x+f)^3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d), x)","F",0
40,0,0,0,0.578786," ","integrate((g*x+f)^2*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{2} d 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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d), x)","F",0
41,0,0,0,0.532969," ","integrate((g*x+f)*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d), x)","F",0
42,0,0,0,0.542119," ","integrate((c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/(g*x + f), x)","F",0
43,0,0,0,0.593500," ","integrate((g*x+f)^3*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} 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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d), x)","F",0
44,0,0,0,0.586530," ","integrate((g*x+f)^2*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} 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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d), x)","F",0
45,0,0,0,0.562637," ","integrate((g*x+f)*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} 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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d), x)","F",0
46,0,0,0,0.693432," ","integrate((c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(c*x))*sqrt(c^2*d*x^2 + d)/(g*x + f), x)","F",0
47,0,0,0,0.594327," ","integrate((g*x+f)^3*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{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{arsinh}\left(c x\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)*arcsinh(c*x))/sqrt(c^2*d*x^2 + d), x)","F",0
48,0,0,0,0.620045," ","integrate((g*x+f)^2*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{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{arsinh}\left(c x\right)}{\sqrt{c^{2} d x^{2} + d}}, x\right)"," ",0,"integral((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)*arcsinh(c*x))/sqrt(c^2*d*x^2 + d), x)","F",0
49,0,0,0,0.547397," ","integrate((g*x+f)*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a g x + a f + {\left(b g x + b f\right)} \operatorname{arsinh}\left(c x\right)}{\sqrt{c^{2} d x^{2} + d}}, x\right)"," ",0,"integral((a*g*x + a*f + (b*g*x + b*f)*arcsinh(c*x))/sqrt(c^2*d*x^2 + d), x)","F",0
50,0,0,0,0.704963," ","integrate((a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\left(c x\right) + a}{\sqrt{c^{2} d x^{2} + d}}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)/sqrt(c^2*d*x^2 + d), x)","F",0
51,0,0,0,0.443812," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(c*x) + a)/(c^2*d*g*x^3 + c^2*d*f*x^2 + d*g*x + d*f), x)","F",0
52,0,0,0,0.550490," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(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
53,0,0,0,0.526677," ","integrate((a+b*arcsinh(c*x))^n*log(h*(g*x+f)^m)/(c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \operatorname{arsinh}\left(c x\right) + a\right)}^{n} \log\left({\left(g x + f\right)}^{m} h\right)}{\sqrt{c^{2} x^{2} + 1}}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)^n*log((g*x + f)^m*h)/sqrt(c^2*x^2 + 1), x)","F",0
54,0,0,0,0.571504," ","integrate((a+b*arcsinh(c*x))^2*log(h*(g*x+f)^m)/(c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \operatorname{arsinh}\left(c x\right)^{2} + 2 \, a b \operatorname{arsinh}\left(c x\right) + a^{2}\right)} \log\left({\left(g x + f\right)}^{m} h\right)}{\sqrt{c^{2} x^{2} + 1}}, x\right)"," ",0,"integral((b^2*arcsinh(c*x)^2 + 2*a*b*arcsinh(c*x) + a^2)*log((g*x + f)^m*h)/sqrt(c^2*x^2 + 1), x)","F",0
55,0,0,0,0.549373," ","integrate((a+b*arcsinh(c*x))*log(h*(g*x+f)^m)/(c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \operatorname{arsinh}\left(c x\right) + a\right)} \log\left({\left(g x + f\right)}^{m} h\right)}{\sqrt{c^{2} x^{2} + 1}}, x\right)"," ",0,"integral((b*arcsinh(c*x) + a)*log((g*x + f)^m*h)/sqrt(c^2*x^2 + 1), x)","F",0
56,0,0,0,0.574212," ","integrate(log(h*(g*x+f)^m)/(c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(g x + f\right)}^{m} h\right)}{\sqrt{c^{2} x^{2} + 1}}, x\right)"," ",0,"integral(log((g*x + f)^m*h)/sqrt(c^2*x^2 + 1), x)","F",0
57,0,0,0,0.527955," ","integrate(log(h*(g*x+f)^m)/(a+b*arcsinh(c*x))/(c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c^{2} x^{2} + 1} \log\left({\left(g x + f\right)}^{m} h\right)}{a c^{2} x^{2} + {\left(b c^{2} x^{2} + b\right)} \operatorname{arsinh}\left(c x\right) + a}, x\right)"," ",0,"integral(sqrt(c^2*x^2 + 1)*log((g*x + f)^m*h)/(a*c^2*x^2 + (b*c^2*x^2 + b)*arcsinh(c*x) + a), x)","F",0
58,1,110,0,0.463450," ","integrate(x^3*arcsinh(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
59,1,91,0,0.552401," ","integrate(x^2*arcsinh(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
60,1,75,0,0.531015," ","integrate(x*arcsinh(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
61,1,57,0,0.536333," ","integrate(arcsinh(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
62,0,0,0,0.536708," ","integrate(arcsinh(b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(b x + a\right)}{x}, x\right)"," ",0,"integral(arcsinh(b*x + a)/x, x)","F",0
63,1,167,0,0.578170," ","integrate(arcsinh(b*x+a)/x^2,x, algorithm=""fricas"")","\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}"," ",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)","B",0
64,1,236,0,0.663268," ","integrate(arcsinh(b*x+a)/x^3,x, algorithm=""fricas"")","\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}}"," ",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)","B",0
65,1,285,0,0.716679," ","integrate(arcsinh(b*x+a)/x^4,x, algorithm=""fricas"")","\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}}"," ",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)","B",0
66,1,343,0,0.706944," ","integrate(arcsinh(b*x+a)/x^5,x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, a^{3} - 3 \, a\right)} \sqrt{a^{2} + 1} b^{4} x^{4} \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(11 \, a^{4} + 7 \, a^{2} - 4\right)} b^{4} x^{4} + 6 \, {\left(a^{8} + 4 \, a^{6} + 6 \, a^{4} + 4 \, a^{2} + 1\right)} x^{4} \log\left(-b x - a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right) - 6 \, {\left(a^{8} + 4 \, a^{6} - {\left(a^{8} + 4 \, a^{6} + 6 \, a^{4} + 4 \, a^{2} + 1\right)} x^{4} + 6 \, a^{4} + 4 \, a^{2} + 1\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right) - {\left({\left(11 \, a^{4} + 7 \, a^{2} - 4\right)} b^{3} x^{3} - 5 \, {\left(a^{5} + 2 \, a^{3} + a\right)} b^{2} x^{2} + 2 \, {\left(a^{6} + 3 \, a^{4} + 3 \, a^{2} + 1\right)} b x\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}}{24 \, {\left(a^{8} + 4 \, a^{6} + 6 \, a^{4} + 4 \, a^{2} + 1\right)} x^{4}}"," ",0,"1/24*(3*(2*a^3 - 3*a)*sqrt(a^2 + 1)*b^4*x^4*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) - (11*a^4 + 7*a^2 - 4)*b^4*x^4 + 6*(a^8 + 4*a^6 + 6*a^4 + 4*a^2 + 1)*x^4*log(-b*x - a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) - 6*(a^8 + 4*a^6 - (a^8 + 4*a^6 + 6*a^4 + 4*a^2 + 1)*x^4 + 6*a^4 + 4*a^2 + 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) - ((11*a^4 + 7*a^2 - 4)*b^3*x^3 - 5*(a^5 + 2*a^3 + a)*b^2*x^2 + 2*(a^6 + 3*a^4 + 3*a^2 + 1)*b*x)*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))/((a^8 + 4*a^6 + 6*a^4 + 4*a^2 + 1)*x^4)","B",0
67,1,182,0,0.535145," ","integrate(x^3*arcsinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{9 \, b^{4} x^{4} - 28 \, a b^{3} x^{3} + 3 \, {\left(26 \, a^{2} - 9\right)} b^{2} x^{2} - 30 \, {\left(10 \, a^{3} - 11 \, a\right)} b x + 9 \, {\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)^{2} - 6 \, {\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} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)}{288 \, b^{4}}"," ",0,"1/288*(9*b^4*x^4 - 28*a*b^3*x^3 + 3*(26*a^2 - 9)*b^2*x^2 - 30*(10*a^3 - 11*a)*b*x + 9*(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))^2 - 6*(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)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)))/b^4","A",0
68,1,146,0,0.527275," ","integrate(x^2*arcsinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{4 \, b^{3} x^{3} - 15 \, a b^{2} x^{2} + 6 \, {\left(11 \, a^{2} - 4\right)} b x + 9 \, {\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)^{2} - 6 \, {\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} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)}{54 \, b^{3}}"," ",0,"1/54*(4*b^3*x^3 - 15*a*b^2*x^2 + 6*(11*a^2 - 4)*b*x + 9*(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 - 6*(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)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)))/b^3","A",0
69,1,114,0,0.571939," ","integrate(x*arcsinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{b^{2} x^{2} - 6 \, a b x + {\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)^{2} - 2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} {\left(b x - 3 \, a\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)}{4 \, b^{2}}"," ",0,"1/4*(b^2*x^2 - 6*a*b*x + (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))^2 - 2*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*(b*x - 3*a)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)))/b^2","A",0
70,1,88,0,0.553115," ","integrate(arcsinh(b*x+a)^2,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)^{2} + 2 \, b x - 2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)}{b}"," ",0,"((b*x + a)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^2 + 2*b*x - 2*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)))/b","B",0
71,0,0,0,0.497885," ","integrate(arcsinh(b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(b x + a\right)^{2}}{x}, x\right)"," ",0,"integral(arcsinh(b*x + a)^2/x, x)","F",0
72,0,0,0,0.515487," ","integrate(arcsinh(b*x+a)^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(b x + a\right)^{2}}{x^{2}}, x\right)"," ",0,"integral(arcsinh(b*x + a)^2/x^2, x)","F",0
73,0,0,0,0.581565," ","integrate(arcsinh(b*x+a)^2/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(b x + a\right)^{2}}{x^{3}}, x\right)"," ",0,"integral(arcsinh(b*x + a)^2/x^3, x)","F",0
74,0,0,0,0.671978," ","integrate(arcsinh(b*x+a)^2/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(b x + a\right)^{2}}{x^{4}}, x\right)"," ",0,"integral(arcsinh(b*x + a)^2/x^4, x)","F",0
75,1,225,0,0.486626," ","integrate(x^2*arcsinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{18 \, {\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)^{3} - 18 \, {\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} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{2} + 3 \, {\left(8 \, b^{3} x^{3} - 30 \, a b^{2} x^{2} + 170 \, a^{3} + 12 \, {\left(11 \, a^{2} - 4\right)} b x - 75 \, a\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right) - {\left(8 \, b^{2} x^{2} - 65 \, a b x + 575 \, a^{2} - 160\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}}{108 \, b^{3}}"," ",0,"1/108*(18*(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))^3 - 18*(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)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^2 + 3*(8*b^3*x^3 - 30*a*b^2*x^2 + 170*a^3 + 12*(11*a^2 - 4)*b*x - 75*a)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) - (8*b^2*x^2 - 65*a*b*x + 575*a^2 - 160)*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))/b^3","A",0
76,1,180,0,0.499366," ","integrate(x*arcsinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{2 \, {\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)^{3} - 6 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} {\left(b x - 3 \, a\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{2} + 3 \, {\left(2 \, b^{2} x^{2} - 12 \, a b x - 14 \, a^{2} + 1\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right) - 3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} {\left(b x - 15 \, a\right)}}{8 \, b^{2}}"," ",0,"1/8*(2*(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))^3 - 6*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*(b*x - 3*a)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^2 + 3*(2*b^2*x^2 - 12*a*b*x - 14*a^2 + 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) - 3*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*(b*x - 15*a))/b^2","A",0
77,1,139,0,0.500949," ","integrate(arcsinh(b*x+a)^3,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)^{3} - 3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{2} + 6 \, {\left(b x + a\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right) - 6 \, \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))^3 - 3*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^2 + 6*(b*x + a)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) - 6*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))/b","A",0
78,0,0,0,0.610202," ","integrate(arcsinh(b*x+a)^3/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(b x + a\right)^{3}}{x}, x\right)"," ",0,"integral(arcsinh(b*x + a)^3/x, x)","F",0
79,0,0,0,0.746425," ","integrate(arcsinh(b*x+a)^3/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(b x + a\right)^{3}}{x^{2}}, x\right)"," ",0,"integral(arcsinh(b*x + a)^3/x^2, x)","F",0
80,0,0,0,0.646741," ","integrate(arcsinh(b*x+a)^3/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(b x + a\right)^{3}}{x^{3}}, x\right)"," ",0,"integral(arcsinh(b*x + a)^3/x^3, x)","F",0
81,0,0,0,0.478310," ","integrate(x^2/arcsinh(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{\operatorname{arsinh}\left(b x + a\right)}, x\right)"," ",0,"integral(x^2/arcsinh(b*x + a), x)","F",0
82,0,0,0,0.651615," ","integrate(x/arcsinh(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{\operatorname{arsinh}\left(b x + a\right)}, x\right)"," ",0,"integral(x/arcsinh(b*x + a), x)","F",0
83,0,0,0,0.580395," ","integrate(1/arcsinh(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\operatorname{arsinh}\left(b x + a\right)}, x\right)"," ",0,"integral(1/arcsinh(b*x + a), x)","F",0
84,0,0,0,0.534896," ","integrate(1/x/arcsinh(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \operatorname{arsinh}\left(b x + a\right)}, x\right)"," ",0,"integral(1/(x*arcsinh(b*x + a)), x)","F",0
85,0,0,0,0.466934," ","integrate(x^2/arcsinh(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{\operatorname{arsinh}\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(x^2/arcsinh(b*x + a)^2, x)","F",0
86,0,0,0,0.581349," ","integrate(x/arcsinh(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{\operatorname{arsinh}\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(x/arcsinh(b*x + a)^2, x)","F",0
87,0,0,0,0.585607," ","integrate(1/arcsinh(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\operatorname{arsinh}\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(arcsinh(b*x + a)^(-2), x)","F",0
88,0,0,0,0.557473," ","integrate(1/x/arcsinh(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \operatorname{arsinh}\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(1/(x*arcsinh(b*x + a)^2), x)","F",0
89,0,0,0,0.509408," ","integrate(x^2/arcsinh(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{\operatorname{arsinh}\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(x^2/arcsinh(b*x + a)^3, x)","F",0
90,0,0,0,0.615806," ","integrate(x/arcsinh(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{\operatorname{arsinh}\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(x/arcsinh(b*x + a)^3, x)","F",0
91,0,0,0,0.543591," ","integrate(1/arcsinh(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\operatorname{arsinh}\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(arcsinh(b*x + a)^(-3), x)","F",0
92,0,0,0,0.522598," ","integrate(1/x/arcsinh(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \operatorname{arsinh}\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(1/(x*arcsinh(b*x + a)^3), x)","F",0
93,0,0,0,0.567554," ","integrate(x^m*(a+b*arcsinh(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b \operatorname{arsinh}\left(d x + c\right) + a\right)}^{n} x^{m}, x\right)"," ",0,"integral((b*arcsinh(d*x + c) + a)^n*x^m, x)","F",0
94,0,0,0,0.526303," ","integrate(x^2*(a+b*arcsinh(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b \operatorname{arsinh}\left(d x + c\right) + a\right)}^{n} x^{2}, x\right)"," ",0,"integral((b*arcsinh(d*x + c) + a)^n*x^2, x)","F",0
95,0,0,0,0.570151," ","integrate(x*(a+b*arcsinh(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b \operatorname{arsinh}\left(d x + c\right) + a\right)}^{n} x, x\right)"," ",0,"integral((b*arcsinh(d*x + c) + a)^n*x, x)","F",0
96,0,0,0,0.739878," ","integrate((a+b*arcsinh(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b \operatorname{arsinh}\left(d x + c\right) + a\right)}^{n}, x\right)"," ",0,"integral((b*arcsinh(d*x + c) + a)^n, x)","F",0
97,0,0,0,0.532983," ","integrate((a+b*arcsinh(d*x+c))^n/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \operatorname{arsinh}\left(d x + c\right) + a\right)}^{n}}{x}, x\right)"," ",0,"integral((b*arcsinh(d*x + c) + a)^n/x, x)","F",0
98,-2,0,0,0.000000," ","integrate(x^2*(a+b*arcsinh(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
99,-2,0,0,0.000000," ","integrate(x*(a+b*arcsinh(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
100,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
101,-2,0,0,0.000000," ","integrate(x*(a+b*arcsinh(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
102,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
103,-2,0,0,0.000000," ","integrate(x*(a+b*arcsinh(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
104,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
105,-2,0,0,0.000000," ","integrate(x^2/(a+b*arcsinh(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
106,-2,0,0,0.000000," ","integrate(x/(a+b*arcsinh(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
107,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(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
108,-2,0,0,0.000000," ","integrate(x/(a+b*arcsinh(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
109,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(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
110,-2,0,0,0.000000," ","integrate(x/(a+b*arcsinh(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
111,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(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
112,-2,0,0,0.000000," ","integrate(x/(a+b*arcsinh(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
113,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(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
114,0,0,0,0.697067," ","integrate((d*e*x+c*e)^m*(a+b*arcsinh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \operatorname{arsinh}\left(d x + c\right) + a\right)} {\left(d e x + c e\right)}^{m}, x\right)"," ",0,"integral((b*arcsinh(d*x + c) + a)*(d*e*x + c*e)^m, x)","F",0
115,1,279,0,0.558029," ","integrate((d*e*x+c*e)^4*(a+b*arcsinh(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
116,1,228,0,0.490821," ","integrate((d*e*x+c*e)^3*(a+b*arcsinh(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
117,1,168,0,0.619492," ","integrate((d*e*x+c*e)^2*(a+b*arcsinh(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
118,1,108,0,0.547695," ","integrate((d*e*x+c*e)*(a+b*arcsinh(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
119,1,65,0,0.505425," ","integrate(a+b*arcsinh(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
120,0,0,0,0.659375," ","integrate((a+b*arcsinh(d*x+c))/(d*e*x+c*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\left(d x + c\right) + a}{d e x + c e}, x\right)"," ",0,"integral((b*arcsinh(d*x + c) + a)/(d*e*x + c*e), x)","F",0
121,1,175,0,0.576090," ","integrate((a+b*arcsinh(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 - {\left(b c d x + b c^{2}\right)} \log\left(-d x - c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} + 1} + 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) + {\left(b c d x + b c^{2}\right)} \log\left(-d x - c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} + 1} - 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 - (b*c*d*x + b*c^2)*log(-d*x - c + sqrt(d^2*x^2 + 2*c*d*x + c^2 + 1) + 1) + (b*d*x + b*c)*log(-d*x - c + sqrt(d^2*x^2 + 2*c*d*x + c^2 + 1)) + (b*c*d*x + b*c^2)*log(-d*x - c + sqrt(d^2*x^2 + 2*c*d*x + c^2 + 1) - 1))/(c*d^2*e^2*x + c^2*d*e^2)","B",0
122,1,118,0,0.549435," ","integrate((a+b*arcsinh(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
123,1,343,0,0.557227," ","integrate((a+b*arcsinh(d*x+c))/(d*e*x+c*e)^4,x, algorithm=""fricas"")","-\frac{2 \, a c^{3} - 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) - {\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)} \log\left(-d x - c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} + 1} + 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^{3} x^{3} + 3 \, b c^{4} d^{2} x^{2} + 3 \, b c^{5} d x + b c^{6}\right)} \log\left(-d x - c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} + 1} - 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*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)) - (b*c^3*d^3*x^3 + 3*b*c^4*d^2*x^2 + 3*b*c^5*d*x + b*c^6)*log(-d*x - c + sqrt(d^2*x^2 + 2*c*d*x + c^2 + 1) + 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^3*x^3 + 3*b*c^4*d^2*x^2 + 3*b*c^5*d*x + b*c^6)*log(-d*x - c + sqrt(d^2*x^2 + 2*c*d*x + c^2 + 1) - 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
124,1,210,0,0.570735," ","integrate((a+b*arcsinh(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
125,1,509,0,0.718245," ","integrate((a+b*arcsinh(d*x+c))/(d*e*x+c*e)^6,x, algorithm=""fricas"")","-\frac{8 \, a c^{5} - 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) + 3 \, {\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)} \log\left(-d x - c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} + 1} + 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) - 3 \, {\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)} \log\left(-d x - c + \sqrt{d^{2} x^{2} + 2 \, c d x + c^{2} + 1} - 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 - 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)) + 3*(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)*log(-d*x - c + sqrt(d^2*x^2 + 2*c*d*x + c^2 + 1) + 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^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)*log(-d*x - c + sqrt(d^2*x^2 + 2*c*d*x + c^2 + 1) - 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
126,0,0,0,0.664678," ","integrate((d*e*x+c*e)^m*(a+b*arcsinh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arsinh}\left(d x + c\right) + a^{2}\right)} {\left(d e x + c e\right)}^{m}, x\right)"," ",0,"integral((b^2*arcsinh(d*x + c)^2 + 2*a*b*arcsinh(d*x + c) + a^2)*(d*e*x + c*e)^m, x)","F",0
127,1,618,0,0.756173," ","integrate((d*e*x+c*e)^4*(a+b*arcsinh(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
128,1,486,0,0.555676," ","integrate((d*e*x+c*e)^3*(a+b*arcsinh(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
129,1,358,0,0.574974," ","integrate((d*e*x+c*e)^2*(a+b*arcsinh(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
130,1,230,0,0.553898," ","integrate((d*e*x+c*e)*(a+b*arcsinh(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
131,1,141,0,0.561504," ","integrate((a+b*arcsinh(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
132,0,0,0,0.719388," ","integrate((a+b*arcsinh(d*x+c))^2/(d*e*x+c*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arsinh}\left(d x + c\right) + a^{2}}{d e x + c e}, x\right)"," ",0,"integral((b^2*arcsinh(d*x + c)^2 + 2*a*b*arcsinh(d*x + c) + a^2)/(d*e*x + c*e), x)","F",0
133,0,0,0,0.551897," ","integrate((a+b*arcsinh(d*x+c))^2/(d*e*x+c*e)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(d*x + c)^2 + 2*a*b*arcsinh(d*x + c) + a^2)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
134,1,319,0,0.657623," ","integrate((a+b*arcsinh(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
135,0,0,0,0.577903," ","integrate((a+b*arcsinh(d*x+c))^2/(d*e*x+c*e)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(d*x + c)^2 + 2*a*b*arcsinh(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
136,0,0,0,0.534051," ","integrate((d*e*x+c*e)^m*(a+b*arcsinh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\left(d x + c\right) + a^{3}\right)} {\left(d e x + c e\right)}^{m}, x\right)"," ",0,"integral((b^3*arcsinh(d*x + c)^3 + 3*a*b^2*arcsinh(d*x + c)^2 + 3*a^2*b*arcsinh(d*x + c) + a^3)*(d*e*x + c*e)^m, x)","F",0
137,1,1077,0,0.607649," ","integrate((d*e*x+c*e)^4*(a+b*arcsinh(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
138,1,832,0,0.625354," ","integrate((d*e*x+c*e)^3*(a+b*arcsinh(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
139,1,613,0,0.629257," ","integrate((d*e*x+c*e)^2*(a+b*arcsinh(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
140,1,391,0,0.537570," ","integrate((d*e*x+c*e)*(a+b*arcsinh(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
141,1,239,0,0.662685," ","integrate((a+b*arcsinh(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
142,0,0,0,0.523643," ","integrate((a+b*arcsinh(d*x+c))^3/(d*e*x+c*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\left(d x + c\right) + a^{3}}{d e x + c e}, x\right)"," ",0,"integral((b^3*arcsinh(d*x + c)^3 + 3*a*b^2*arcsinh(d*x + c)^2 + 3*a^2*b*arcsinh(d*x + c) + a^3)/(d*e*x + c*e), x)","F",0
143,0,0,0,0.618481," ","integrate((a+b*arcsinh(d*x+c))^3/(d*e*x+c*e)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\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*arcsinh(d*x + c)^3 + 3*a*b^2*arcsinh(d*x + c)^2 + 3*a^2*b*arcsinh(d*x + c) + a^3)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
144,0,0,0,0.591939," ","integrate((a+b*arcsinh(d*x+c))^3/(d*e*x+c*e)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\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*arcsinh(d*x + c)^3 + 3*a*b^2*arcsinh(d*x + c)^2 + 3*a^2*b*arcsinh(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
145,0,0,0,0.725017," ","integrate((a+b*arcsinh(d*x+c))^3/(d*e*x+c*e)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\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*arcsinh(d*x + c)^3 + 3*a*b^2*arcsinh(d*x + c)^2 + 3*a^2*b*arcsinh(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
146,0,0,0,0.547509," ","integrate((d*e*x+c*e)^m*(a+b*arcsinh(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{4} \operatorname{arsinh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arsinh}\left(d x + c\right) + a^{4}\right)} {\left(d e x + c e\right)}^{m}, x\right)"," ",0,"integral((b^4*arcsinh(d*x + c)^4 + 4*a*b^3*arcsinh(d*x + c)^3 + 6*a^2*b^2*arcsinh(d*x + c)^2 + 4*a^3*b*arcsinh(d*x + c) + a^4)*(d*e*x + c*e)^m, x)","F",0
147,1,1241,0,0.587749," ","integrate((d*e*x+c*e)^3*(a+b*arcsinh(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
148,1,900,0,0.751203," ","integrate((d*e*x+c*e)^2*(a+b*arcsinh(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
149,1,574,0,0.597717," ","integrate((d*e*x+c*e)*(a+b*arcsinh(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
150,1,344,0,0.539886," ","integrate((a+b*arcsinh(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
151,0,0,0,0.614910," ","integrate((a+b*arcsinh(d*x+c))^4/(d*e*x+c*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \operatorname{arsinh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arsinh}\left(d x + c\right) + a^{4}}{d e x + c e}, x\right)"," ",0,"integral((b^4*arcsinh(d*x + c)^4 + 4*a*b^3*arcsinh(d*x + c)^3 + 6*a^2*b^2*arcsinh(d*x + c)^2 + 4*a^3*b*arcsinh(d*x + c) + a^4)/(d*e*x + c*e), x)","F",0
152,0,0,0,0.648563," ","integrate((a+b*arcsinh(d*x+c))^4/(d*e*x+c*e)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \operatorname{arsinh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arsinh}\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*arcsinh(d*x + c)^4 + 4*a*b^3*arcsinh(d*x + c)^3 + 6*a^2*b^2*arcsinh(d*x + c)^2 + 4*a^3*b*arcsinh(d*x + c) + a^4)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
153,0,0,0,0.648924," ","integrate((a+b*arcsinh(d*x+c))^4/(d*e*x+c*e)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \operatorname{arsinh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arsinh}\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*arcsinh(d*x + c)^4 + 4*a*b^3*arcsinh(d*x + c)^3 + 6*a^2*b^2*arcsinh(d*x + c)^2 + 4*a^3*b*arcsinh(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
154,0,0,0,0.915751," ","integrate((a+b*arcsinh(d*x+c))^4/(d*e*x+c*e)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \operatorname{arsinh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arsinh}\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*arcsinh(d*x + c)^4 + 4*a*b^3*arcsinh(d*x + c)^3 + 6*a^2*b^2*arcsinh(d*x + c)^2 + 4*a^3*b*arcsinh(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
155,0,0,0,0.638582," ","integrate((d*e*x+c*e)^m/(a+b*arcsinh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d e x + c e\right)}^{m}}{b \operatorname{arsinh}\left(d x + c\right) + a}, x\right)"," ",0,"integral((d*e*x + c*e)^m/(b*arcsinh(d*x + c) + a), x)","F",0
156,0,0,0,0.482344," ","integrate((d*e*x+c*e)^4/(a+b*arcsinh(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{arsinh}\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*arcsinh(d*x + c) + a), x)","F",0
157,0,0,0,0.487062," ","integrate((d*e*x+c*e)^3/(a+b*arcsinh(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{arsinh}\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*arcsinh(d*x + c) + a), x)","F",0
158,0,0,0,0.493936," ","integrate((d*e*x+c*e)^2/(a+b*arcsinh(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{arsinh}\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*arcsinh(d*x + c) + a), x)","F",0
159,0,0,0,0.548535," ","integrate((d*e*x+c*e)/(a+b*arcsinh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d e x + c e}{b \operatorname{arsinh}\left(d x + c\right) + a}, x\right)"," ",0,"integral((d*e*x + c*e)/(b*arcsinh(d*x + c) + a), x)","F",0
160,0,0,0,0.474584," ","integrate(1/(a+b*arcsinh(d*x+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \operatorname{arsinh}\left(d x + c\right) + a}, x\right)"," ",0,"integral(1/(b*arcsinh(d*x + c) + a), x)","F",0
161,0,0,0,0.516801," ","integrate(1/(d*e*x+c*e)/(a+b*arcsinh(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{arsinh}\left(d x + c\right)}, x\right)"," ",0,"integral(1/(a*d*e*x + a*c*e + (b*d*e*x + b*c*e)*arcsinh(d*x + c)), x)","F",0
162,0,0,0,0.581702," ","integrate((d*e*x+c*e)^4/(a+b*arcsinh(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{arsinh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(d*x + c)^2 + 2*a*b*arcsinh(d*x + c) + a^2), x)","F",0
163,0,0,0,0.656352," ","integrate((d*e*x+c*e)^3/(a+b*arcsinh(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{arsinh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(d*x + c)^2 + 2*a*b*arcsinh(d*x + c) + a^2), x)","F",0
164,0,0,0,0.584498," ","integrate((d*e*x+c*e)^2/(a+b*arcsinh(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{arsinh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(d*x + c)^2 + 2*a*b*arcsinh(d*x + c) + a^2), x)","F",0
165,0,0,0,0.620645," ","integrate((d*e*x+c*e)/(a+b*arcsinh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d e x + c e}{b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arsinh}\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral((d*e*x + c*e)/(b^2*arcsinh(d*x + c)^2 + 2*a*b*arcsinh(d*x + c) + a^2), x)","F",0
166,0,0,0,0.452399," ","integrate(1/(a+b*arcsinh(d*x+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arsinh}\left(d x + c\right) + a^{2}}, x\right)"," ",0,"integral(1/(b^2*arcsinh(d*x + c)^2 + 2*a*b*arcsinh(d*x + c) + a^2), x)","F",0
167,0,0,0,0.589480," ","integrate(1/(d*e*x+c*e)/(a+b*arcsinh(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{arsinh}\left(d x + c\right)^{2} + 2 \, {\left(a b d e x + a b c e\right)} \operatorname{arsinh}\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)*arcsinh(d*x + c)^2 + 2*(a*b*d*e*x + a*b*c*e)*arcsinh(d*x + c)), x)","F",0
168,0,0,0,0.611057," ","integrate((d*e*x+c*e)^4/(a+b*arcsinh(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{arsinh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\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*arcsinh(d*x + c)^3 + 3*a*b^2*arcsinh(d*x + c)^2 + 3*a^2*b*arcsinh(d*x + c) + a^3), x)","F",0
169,0,0,0,0.519648," ","integrate((d*e*x+c*e)^3/(a+b*arcsinh(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{arsinh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\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*arcsinh(d*x + c)^3 + 3*a*b^2*arcsinh(d*x + c)^2 + 3*a^2*b*arcsinh(d*x + c) + a^3), x)","F",0
170,0,0,0,0.636797," ","integrate((d*e*x+c*e)^2/(a+b*arcsinh(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{arsinh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\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*arcsinh(d*x + c)^3 + 3*a*b^2*arcsinh(d*x + c)^2 + 3*a^2*b*arcsinh(d*x + c) + a^3), x)","F",0
171,0,0,0,0.769418," ","integrate((d*e*x+c*e)/(a+b*arcsinh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d e x + c e}{b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\left(d x + c\right) + a^{3}}, x\right)"," ",0,"integral((d*e*x + c*e)/(b^3*arcsinh(d*x + c)^3 + 3*a*b^2*arcsinh(d*x + c)^2 + 3*a^2*b*arcsinh(d*x + c) + a^3), x)","F",0
172,0,0,0,0.755179," ","integrate(1/(a+b*arcsinh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\left(d x + c\right) + a^{3}}, x\right)"," ",0,"integral(1/(b^3*arcsinh(d*x + c)^3 + 3*a*b^2*arcsinh(d*x + c)^2 + 3*a^2*b*arcsinh(d*x + c) + a^3), x)","F",0
173,0,0,0,0.615643," ","integrate(1/(d*e*x+c*e)/(a+b*arcsinh(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{arsinh}\left(d x + c\right)^{3} + 3 \, {\left(a b^{2} d e x + a b^{2} c e\right)} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, {\left(a^{2} b d e x + a^{2} b c e\right)} \operatorname{arsinh}\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)*arcsinh(d*x + c)^3 + 3*(a*b^2*d*e*x + a*b^2*c*e)*arcsinh(d*x + c)^2 + 3*(a^2*b*d*e*x + a^2*b*c*e)*arcsinh(d*x + c)), x)","F",0
174,0,0,0,0.990999," ","integrate((d*e*x+c*e)^4/(a+b*arcsinh(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{arsinh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arsinh}\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*arcsinh(d*x + c)^4 + 4*a*b^3*arcsinh(d*x + c)^3 + 6*a^2*b^2*arcsinh(d*x + c)^2 + 4*a^3*b*arcsinh(d*x + c) + a^4), x)","F",0
175,0,0,0,0.953136," ","integrate((d*e*x+c*e)^3/(a+b*arcsinh(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{arsinh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arsinh}\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*arcsinh(d*x + c)^4 + 4*a*b^3*arcsinh(d*x + c)^3 + 6*a^2*b^2*arcsinh(d*x + c)^2 + 4*a^3*b*arcsinh(d*x + c) + a^4), x)","F",0
176,0,0,0,0.725620," ","integrate((d*e*x+c*e)^2/(a+b*arcsinh(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{arsinh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arsinh}\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*arcsinh(d*x + c)^4 + 4*a*b^3*arcsinh(d*x + c)^3 + 6*a^2*b^2*arcsinh(d*x + c)^2 + 4*a^3*b*arcsinh(d*x + c) + a^4), x)","F",0
177,0,0,0,1.288331," ","integrate((d*e*x+c*e)/(a+b*arcsinh(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d e x + c e}{b^{4} \operatorname{arsinh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arsinh}\left(d x + c\right) + a^{4}}, x\right)"," ",0,"integral((d*e*x + c*e)/(b^4*arcsinh(d*x + c)^4 + 4*a*b^3*arcsinh(d*x + c)^3 + 6*a^2*b^2*arcsinh(d*x + c)^2 + 4*a^3*b*arcsinh(d*x + c) + a^4), x)","F",0
178,0,0,0,0.633497," ","integrate(1/(a+b*arcsinh(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{4} \operatorname{arsinh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arsinh}\left(d x + c\right) + a^{4}}, x\right)"," ",0,"integral(1/(b^4*arcsinh(d*x + c)^4 + 4*a*b^3*arcsinh(d*x + c)^3 + 6*a^2*b^2*arcsinh(d*x + c)^2 + 4*a^3*b*arcsinh(d*x + c) + a^4), x)","F",0
179,0,0,0,1.075264," ","integrate(1/(d*e*x+c*e)/(a+b*arcsinh(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{arsinh}\left(d x + c\right)^{4} + 4 \, {\left(a b^{3} d e x + a b^{3} c e\right)} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, {\left(a^{2} b^{2} d e x + a^{2} b^{2} c e\right)} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, {\left(a^{3} b d e x + a^{3} b c e\right)} \operatorname{arsinh}\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)*arcsinh(d*x + c)^4 + 4*(a*b^3*d*e*x + a*b^3*c*e)*arcsinh(d*x + c)^3 + 6*(a^2*b^2*d*e*x + a^2*b^2*c*e)*arcsinh(d*x + c)^2 + 4*(a^3*b*d*e*x + a^3*b*c*e)*arcsinh(d*x + c)), x)","F",0
180,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^4*(a+b*arcsinh(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
181,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arcsinh(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
182,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arcsinh(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
183,-2,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arcsinh(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
184,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
185,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
186,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^4*(a+b*arcsinh(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
187,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arcsinh(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
188,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arcsinh(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
189,-2,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arcsinh(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
190,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
191,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
192,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^4*(a+b*arcsinh(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
193,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arcsinh(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
194,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arcsinh(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
195,-2,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arcsinh(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
196,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
197,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
198,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^4*(a+b*arcsinh(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
199,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3*(a+b*arcsinh(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
200,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2*(a+b*arcsinh(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
201,-2,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*arcsinh(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
202,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
203,-2,0,0,0.000000," ","integrate((a+b*arcsinh(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
204,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arcsinh(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
205,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arcsinh(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
206,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arcsinh(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
207,-2,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arcsinh(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
208,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(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
209,-2,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arcsinh(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
210,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arcsinh(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
211,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arcsinh(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
212,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arcsinh(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
213,-2,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arcsinh(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
214,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(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
215,-2,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arcsinh(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
216,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arcsinh(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
217,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arcsinh(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
218,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arcsinh(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
219,-2,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arcsinh(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
220,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(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
221,-2,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arcsinh(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
222,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*arcsinh(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
223,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*arcsinh(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
224,-2,0,0,0.000000," ","integrate((d*e*x+c*e)^2/(a+b*arcsinh(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
225,-2,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*arcsinh(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
226,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(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
227,-2,0,0,0.000000," ","integrate(1/(d*e*x+c*e)/(a+b*arcsinh(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
228,0,0,0,0.612051," ","integrate((d*e*x+c*e)^(7/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
229,0,0,0,0.540440," ","integrate((d*e*x+c*e)^(5/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
230,0,0,0,0.535156," ","integrate((d*e*x+c*e)^(3/2)*(a+b*arcsinh(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{arsinh}\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)*arcsinh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
231,0,0,0,0.671121," ","integrate((a+b*arcsinh(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{arsinh}\left(d x + c\right) + a\right)}, x\right)"," ",0,"integral(sqrt(d*e*x + c*e)*(b*arcsinh(d*x + c) + a), x)","F",0
232,0,0,0,0.576452," ","integrate((a+b*arcsinh(d*x+c))/(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\left(d x + c\right) + a}{\sqrt{d e x + c e}}, x\right)"," ",0,"integral((b*arcsinh(d*x + c) + a)/sqrt(d*e*x + c*e), x)","F",0
233,0,0,0,0.552124," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(d*x + c) + a)/(d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2), x)","F",0
234,0,0,0,0.636449," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(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
235,0,0,0,0.591353," ","integrate((a+b*arcsinh(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{arsinh}\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*arcsinh(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
236,0,0,0,0.579653," ","integrate((d*e*x+c*e)^(7/2)*(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(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)*arcsinh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
237,0,0,0,0.588259," ","integrate((d*e*x+c*e)^(5/2)*(a+b*arcsinh(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{arsinh}\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{arsinh}\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)*arcsinh(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)*arcsinh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
238,0,0,0,0.547236," ","integrate((d*e*x+c*e)^(3/2)*(a+b*arcsinh(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{arsinh}\left(d x + c\right)^{2} + 2 \, {\left(a b d e x + a b c e\right)} \operatorname{arsinh}\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)*arcsinh(d*x + c)^2 + 2*(a*b*d*e*x + a*b*c*e)*arcsinh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
239,0,0,0,0.569173," ","integrate((a+b*arcsinh(d*x+c))^2*(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arsinh}\left(d x + c\right) + a^{2}\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((b^2*arcsinh(d*x + c)^2 + 2*a*b*arcsinh(d*x + c) + a^2)*sqrt(d*e*x + c*e), x)","F",0
240,0,0,0,1.124318," ","integrate((a+b*arcsinh(d*x+c))^2/(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arsinh}\left(d x + c\right) + a^{2}}{\sqrt{d e x + c e}}, x\right)"," ",0,"integral((b^2*arcsinh(d*x + c)^2 + 2*a*b*arcsinh(d*x + c) + a^2)/sqrt(d*e*x + c*e), x)","F",0
241,0,0,0,0.727159," ","integrate((a+b*arcsinh(d*x+c))^2/(d*e*x+c*e)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(d*x + c)^2 + 2*a*b*arcsinh(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
242,0,0,0,0.769232," ","integrate((a+b*arcsinh(d*x+c))^2/(d*e*x+c*e)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(d*x + c)^2 + 2*a*b*arcsinh(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
243,0,0,0,0.725201," ","integrate((a+b*arcsinh(d*x+c))^2/(d*e*x+c*e)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 2 \, a b \operatorname{arsinh}\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*arcsinh(d*x + c)^2 + 2*a*b*arcsinh(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
244,0,0,0,2.030947," ","integrate((d*e*x+c*e)^(7/2)*(a+b*arcsinh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{3} d^{3} e^{3} x^{3} + 3 \, a^{3} c d^{2} e^{3} x^{2} + 3 \, a^{3} c^{2} d e^{3} x + a^{3} c^{3} e^{3} + {\left(b^{3} d^{3} e^{3} x^{3} + 3 \, b^{3} c d^{2} e^{3} x^{2} + 3 \, b^{3} c^{2} d e^{3} x + b^{3} c^{3} e^{3}\right)} \operatorname{arsinh}\left(d x + c\right)^{3} + 3 \, {\left(a b^{2} d^{3} e^{3} x^{3} + 3 \, a b^{2} c d^{2} e^{3} x^{2} + 3 \, a b^{2} c^{2} d e^{3} x + a b^{2} c^{3} e^{3}\right)} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, {\left(a^{2} b d^{3} e^{3} x^{3} + 3 \, a^{2} b c d^{2} e^{3} x^{2} + 3 \, a^{2} b c^{2} d e^{3} x + a^{2} b c^{3} e^{3}\right)} \operatorname{arsinh}\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a^3*d^3*e^3*x^3 + 3*a^3*c*d^2*e^3*x^2 + 3*a^3*c^2*d*e^3*x + a^3*c^3*e^3 + (b^3*d^3*e^3*x^3 + 3*b^3*c*d^2*e^3*x^2 + 3*b^3*c^2*d*e^3*x + b^3*c^3*e^3)*arcsinh(d*x + c)^3 + 3*(a*b^2*d^3*e^3*x^3 + 3*a*b^2*c*d^2*e^3*x^2 + 3*a*b^2*c^2*d*e^3*x + a*b^2*c^3*e^3)*arcsinh(d*x + c)^2 + 3*(a^2*b*d^3*e^3*x^3 + 3*a^2*b*c*d^2*e^3*x^2 + 3*a^2*b*c^2*d*e^3*x + a^2*b*c^3*e^3)*arcsinh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
245,0,0,0,0.721277," ","integrate((d*e*x+c*e)^(5/2)*(a+b*arcsinh(d*x+c))^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{3} d^{2} e^{2} x^{2} + 2 \, a^{3} c d e^{2} x + a^{3} c^{2} e^{2} + {\left(b^{3} d^{2} e^{2} x^{2} + 2 \, b^{3} c d e^{2} x + b^{3} c^{2} e^{2}\right)} \operatorname{arsinh}\left(d x + c\right)^{3} + 3 \, {\left(a b^{2} d^{2} e^{2} x^{2} + 2 \, a b^{2} c d e^{2} x + a b^{2} c^{2} e^{2}\right)} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, {\left(a^{2} b d^{2} e^{2} x^{2} + 2 \, a^{2} b c d e^{2} x + a^{2} b c^{2} e^{2}\right)} \operatorname{arsinh}\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a^3*d^2*e^2*x^2 + 2*a^3*c*d*e^2*x + a^3*c^2*e^2 + (b^3*d^2*e^2*x^2 + 2*b^3*c*d*e^2*x + b^3*c^2*e^2)*arcsinh(d*x + c)^3 + 3*(a*b^2*d^2*e^2*x^2 + 2*a*b^2*c*d*e^2*x + a*b^2*c^2*e^2)*arcsinh(d*x + c)^2 + 3*(a^2*b*d^2*e^2*x^2 + 2*a^2*b*c*d*e^2*x + a^2*b*c^2*e^2)*arcsinh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
246,0,0,0,1.063037," ","integrate((d*e*x+c*e)^(3/2)*(a+b*arcsinh(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{arsinh}\left(d x + c\right)^{3} + 3 \, {\left(a b^{2} d e x + a b^{2} c e\right)} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, {\left(a^{2} b d e x + a^{2} b c e\right)} \operatorname{arsinh}\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)*arcsinh(d*x + c)^3 + 3*(a*b^2*d*e*x + a*b^2*c*e)*arcsinh(d*x + c)^2 + 3*(a^2*b*d*e*x + a^2*b*c*e)*arcsinh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
247,0,0,0,0.887228," ","integrate((a+b*arcsinh(d*x+c))^3*(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\left(d x + c\right) + a^{3}\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((b^3*arcsinh(d*x + c)^3 + 3*a*b^2*arcsinh(d*x + c)^2 + 3*a^2*b*arcsinh(d*x + c) + a^3)*sqrt(d*e*x + c*e), x)","F",0
248,0,0,0,0.689393," ","integrate((a+b*arcsinh(d*x+c))^3/(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\left(d x + c\right) + a^{3}}{\sqrt{d e x + c e}}, x\right)"," ",0,"integral((b^3*arcsinh(d*x + c)^3 + 3*a*b^2*arcsinh(d*x + c)^2 + 3*a^2*b*arcsinh(d*x + c) + a^3)/sqrt(d*e*x + c*e), x)","F",0
249,0,0,0,0.715192," ","integrate((a+b*arcsinh(d*x+c))^3/(d*e*x+c*e)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\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*arcsinh(d*x + c)^3 + 3*a*b^2*arcsinh(d*x + c)^2 + 3*a^2*b*arcsinh(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
250,0,0,0,0.755835," ","integrate((a+b*arcsinh(d*x+c))^3/(d*e*x+c*e)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\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*arcsinh(d*x + c)^3 + 3*a*b^2*arcsinh(d*x + c)^2 + 3*a^2*b*arcsinh(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
251,0,0,0,0.519789," ","integrate((a+b*arcsinh(d*x+c))^3/(d*e*x+c*e)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\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*arcsinh(d*x + c)^3 + 3*a*b^2*arcsinh(d*x + c)^2 + 3*a^2*b*arcsinh(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
252,0,0,0,0.903222," ","integrate((d*e*x+c*e)^(7/2)*(a+b*arcsinh(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{4} d^{3} e^{3} x^{3} + 3 \, a^{4} c d^{2} e^{3} x^{2} + 3 \, a^{4} c^{2} d e^{3} x + a^{4} c^{3} e^{3} + {\left(b^{4} d^{3} e^{3} x^{3} + 3 \, b^{4} c d^{2} e^{3} x^{2} + 3 \, b^{4} c^{2} d e^{3} x + b^{4} c^{3} e^{3}\right)} \operatorname{arsinh}\left(d x + c\right)^{4} + 4 \, {\left(a b^{3} d^{3} e^{3} x^{3} + 3 \, a b^{3} c d^{2} e^{3} x^{2} + 3 \, a b^{3} c^{2} d e^{3} x + a b^{3} c^{3} e^{3}\right)} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, {\left(a^{2} b^{2} d^{3} e^{3} x^{3} + 3 \, a^{2} b^{2} c d^{2} e^{3} x^{2} + 3 \, a^{2} b^{2} c^{2} d e^{3} x + a^{2} b^{2} c^{3} e^{3}\right)} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, {\left(a^{3} b d^{3} e^{3} x^{3} + 3 \, a^{3} b c d^{2} e^{3} x^{2} + 3 \, a^{3} b c^{2} d e^{3} x + a^{3} b c^{3} e^{3}\right)} \operatorname{arsinh}\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a^4*d^3*e^3*x^3 + 3*a^4*c*d^2*e^3*x^2 + 3*a^4*c^2*d*e^3*x + a^4*c^3*e^3 + (b^4*d^3*e^3*x^3 + 3*b^4*c*d^2*e^3*x^2 + 3*b^4*c^2*d*e^3*x + b^4*c^3*e^3)*arcsinh(d*x + c)^4 + 4*(a*b^3*d^3*e^3*x^3 + 3*a*b^3*c*d^2*e^3*x^2 + 3*a*b^3*c^2*d*e^3*x + a*b^3*c^3*e^3)*arcsinh(d*x + c)^3 + 6*(a^2*b^2*d^3*e^3*x^3 + 3*a^2*b^2*c*d^2*e^3*x^2 + 3*a^2*b^2*c^2*d*e^3*x + a^2*b^2*c^3*e^3)*arcsinh(d*x + c)^2 + 4*(a^3*b*d^3*e^3*x^3 + 3*a^3*b*c*d^2*e^3*x^2 + 3*a^3*b*c^2*d*e^3*x + a^3*b*c^3*e^3)*arcsinh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
253,0,0,0,1.008832," ","integrate((d*e*x+c*e)^(5/2)*(a+b*arcsinh(d*x+c))^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(a^{4} d^{2} e^{2} x^{2} + 2 \, a^{4} c d e^{2} x + a^{4} c^{2} e^{2} + {\left(b^{4} d^{2} e^{2} x^{2} + 2 \, b^{4} c d e^{2} x + b^{4} c^{2} e^{2}\right)} \operatorname{arsinh}\left(d x + c\right)^{4} + 4 \, {\left(a b^{3} d^{2} e^{2} x^{2} + 2 \, a b^{3} c d e^{2} x + a b^{3} c^{2} e^{2}\right)} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, {\left(a^{2} b^{2} d^{2} e^{2} x^{2} + 2 \, a^{2} b^{2} c d e^{2} x + a^{2} b^{2} c^{2} e^{2}\right)} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, {\left(a^{3} b d^{2} e^{2} x^{2} + 2 \, a^{3} b c d e^{2} x + a^{3} b c^{2} e^{2}\right)} \operatorname{arsinh}\left(d x + c\right)\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((a^4*d^2*e^2*x^2 + 2*a^4*c*d*e^2*x + a^4*c^2*e^2 + (b^4*d^2*e^2*x^2 + 2*b^4*c*d*e^2*x + b^4*c^2*e^2)*arcsinh(d*x + c)^4 + 4*(a*b^3*d^2*e^2*x^2 + 2*a*b^3*c*d*e^2*x + a*b^3*c^2*e^2)*arcsinh(d*x + c)^3 + 6*(a^2*b^2*d^2*e^2*x^2 + 2*a^2*b^2*c*d*e^2*x + a^2*b^2*c^2*e^2)*arcsinh(d*x + c)^2 + 4*(a^3*b*d^2*e^2*x^2 + 2*a^3*b*c*d*e^2*x + a^3*b*c^2*e^2)*arcsinh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
254,0,0,0,0.577081," ","integrate((d*e*x+c*e)^(3/2)*(a+b*arcsinh(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{arsinh}\left(d x + c\right)^{4} + 4 \, {\left(a b^{3} d e x + a b^{3} c e\right)} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, {\left(a^{2} b^{2} d e x + a^{2} b^{2} c e\right)} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, {\left(a^{3} b d e x + a^{3} b c e\right)} \operatorname{arsinh}\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)*arcsinh(d*x + c)^4 + 4*(a*b^3*d*e*x + a*b^3*c*e)*arcsinh(d*x + c)^3 + 6*(a^2*b^2*d*e*x + a^2*b^2*c*e)*arcsinh(d*x + c)^2 + 4*(a^3*b*d*e*x + a^3*b*c*e)*arcsinh(d*x + c))*sqrt(d*e*x + c*e), x)","F",0
255,0,0,0,0.890376," ","integrate((a+b*arcsinh(d*x+c))^4*(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{4} \operatorname{arsinh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arsinh}\left(d x + c\right) + a^{4}\right)} \sqrt{d e x + c e}, x\right)"," ",0,"integral((b^4*arcsinh(d*x + c)^4 + 4*a*b^3*arcsinh(d*x + c)^3 + 6*a^2*b^2*arcsinh(d*x + c)^2 + 4*a^3*b*arcsinh(d*x + c) + a^4)*sqrt(d*e*x + c*e), x)","F",0
256,0,0,0,0.616596," ","integrate((a+b*arcsinh(d*x+c))^4/(d*e*x+c*e)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \operatorname{arsinh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arsinh}\left(d x + c\right) + a^{4}}{\sqrt{d e x + c e}}, x\right)"," ",0,"integral((b^4*arcsinh(d*x + c)^4 + 4*a*b^3*arcsinh(d*x + c)^3 + 6*a^2*b^2*arcsinh(d*x + c)^2 + 4*a^3*b*arcsinh(d*x + c) + a^4)/sqrt(d*e*x + c*e), x)","F",0
257,0,0,0,0.860878," ","integrate((a+b*arcsinh(d*x+c))^4/(d*e*x+c*e)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{4} \operatorname{arsinh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arsinh}\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*arcsinh(d*x + c)^4 + 4*a*b^3*arcsinh(d*x + c)^3 + 6*a^2*b^2*arcsinh(d*x + c)^2 + 4*a^3*b*arcsinh(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
258,0,0,0,0.472349," ","integrate((a+b*arcsinh(d*x+c))^4/(d*e*x+c*e)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{4} \operatorname{arsinh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arsinh}\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*arcsinh(d*x + c)^4 + 4*a*b^3*arcsinh(d*x + c)^3 + 6*a^2*b^2*arcsinh(d*x + c)^2 + 4*a^3*b*arcsinh(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
259,0,0,0,0.699791," ","integrate((a+b*arcsinh(d*x+c))^4/(d*e*x+c*e)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{4} \operatorname{arsinh}\left(d x + c\right)^{4} + 4 \, a b^{3} \operatorname{arsinh}\left(d x + c\right)^{3} + 6 \, a^{2} b^{2} \operatorname{arsinh}\left(d x + c\right)^{2} + 4 \, a^{3} b \operatorname{arsinh}\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*arcsinh(d*x + c)^4 + 4*a*b^3*arcsinh(d*x + c)^3 + 6*a^2*b^2*arcsinh(d*x + c)^2 + 4*a^3*b*arcsinh(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
260,1,199,0,0.520617," ","integrate(arcsinh(b*x+a)^3*(b^2*x^2+2*a*b*x+a^2+1)^(1/2),x, algorithm=""fricas"")","\frac{4 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} {\left(b x + a\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{3} - 3 \, b^{2} x^{2} + \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{4} - 6 \, a b x - 3 \, {\left(2 \, b^{2} x^{2} + 4 \, a b x + 2 \, a^{2} + 1\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{2} + 6 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} {\left(b x + a\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)}{8 \, b}"," ",0,"1/8*(4*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*(b*x + a)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^3 - 3*b^2*x^2 + log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^4 - 6*a*b*x - 3*(2*b^2*x^2 + 4*a*b*x + 2*a^2 + 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^2 + 6*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*(b*x + a)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)))/b","A",0
261,1,161,0,0.710911," ","integrate(arcsinh(b*x+a)^2*(b^2*x^2+2*a*b*x+a^2+1)^(1/2),x, algorithm=""fricas"")","\frac{6 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} {\left(b x + a\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{2} + 2 \, \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{3} - 3 \, {\left(2 \, b^{2} x^{2} + 4 \, a b x + 2 \, a^{2} + 1\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right) + 3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} {\left(b x + a\right)}}{12 \, b}"," ",0,"1/12*(6*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*(b*x + a)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^2 + 2*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^3 - 3*(2*b^2*x^2 + 4*a*b*x + 2*a^2 + 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) + 3*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*(b*x + a))/b","A",0
262,1,98,0,0.599677," ","integrate(arcsinh(b*x+a)*(b^2*x^2+2*a*b*x+a^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{b^{2} x^{2} + 2 \, a b x - 2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} {\left(b x + a\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right) - \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{2}}{4 \, b}"," ",0,"-1/4*(b^2*x^2 + 2*a*b*x - 2*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*(b*x + a)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) - log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^2)/b","A",0
263,0,0,0,0.458904," ","integrate((b^2*x^2+2*a*b*x+a^2+1)^(1/2)/arcsinh(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}}{\operatorname{arsinh}\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)/arcsinh(b*x + a), x)","F",0
264,0,0,0,0.487563," ","integrate((b^2*x^2+2*a*b*x+a^2+1)^(1/2)/arcsinh(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}}{\operatorname{arsinh}\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)/arcsinh(b*x + a)^2, x)","F",0
265,0,0,0,0.615002," ","integrate((b^2*x^2+2*a*b*x+a^2+1)^(1/2)/arcsinh(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}}{\operatorname{arsinh}\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)/arcsinh(b*x + a)^3, x)","F",0
266,1,332,0,0.461630," ","integrate((b^2*x^2+2*a*b*x+a^2+1)^(3/2)*arcsinh(b*x+a)^3,x, algorithm=""fricas"")","-\frac{3 \, b^{4} x^{4} + 12 \, a b^{3} x^{3} + 3 \, {\left(6 \, a^{2} + 17\right)} b^{2} x^{2} - 16 \, {\left(2 \, b^{3} x^{3} + 6 \, a b^{2} x^{2} + 2 \, a^{3} + {\left(6 \, a^{2} + 5\right)} b x + 5 \, a\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{3} - 12 \, \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{4} + 6 \, {\left(2 \, a^{3} + 17 \, a\right)} b x + 3 \, {\left(8 \, b^{4} x^{4} + 32 \, a b^{3} x^{3} + 8 \, {\left(6 \, a^{2} + 5\right)} b^{2} x^{2} + 8 \, a^{4} + 16 \, {\left(2 \, a^{3} + 5 \, a\right)} b x + 40 \, a^{2} + 17\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{2} - 6 \, {\left(2 \, b^{3} x^{3} + 6 \, a b^{2} x^{2} + 2 \, a^{3} + {\left(6 \, a^{2} + 17\right)} b x + 17 \, a\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)}{128 \, b}"," ",0,"-1/128*(3*b^4*x^4 + 12*a*b^3*x^3 + 3*(6*a^2 + 17)*b^2*x^2 - 16*(2*b^3*x^3 + 6*a*b^2*x^2 + 2*a^3 + (6*a^2 + 5)*b*x + 5*a)*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^3 - 12*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^4 + 6*(2*a^3 + 17*a)*b*x + 3*(8*b^4*x^4 + 32*a*b^3*x^3 + 8*(6*a^2 + 5)*b^2*x^2 + 8*a^4 + 16*(2*a^3 + 5*a)*b*x + 40*a^2 + 17)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^2 - 6*(2*b^3*x^3 + 6*a*b^2*x^2 + 2*a^3 + (6*a^2 + 17)*b*x + 17*a)*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)))/b","A",0
267,1,259,0,0.462028," ","integrate((b^2*x^2+2*a*b*x+a^2+1)^(3/2)*arcsinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{8 \, {\left(2 \, b^{3} x^{3} + 6 \, a b^{2} x^{2} + 2 \, a^{3} + {\left(6 \, a^{2} + 5\right)} b x + 5 \, a\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{2} + 8 \, \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{3} - {\left(8 \, b^{4} x^{4} + 32 \, a b^{3} x^{3} + 8 \, {\left(6 \, a^{2} + 5\right)} b^{2} x^{2} + 8 \, a^{4} + 16 \, {\left(2 \, a^{3} + 5 \, a\right)} b x + 40 \, a^{2} + 17\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right) + {\left(2 \, b^{3} x^{3} + 6 \, a b^{2} x^{2} + 2 \, a^{3} + {\left(6 \, a^{2} + 17\right)} b x + 17 \, a\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}}{64 \, b}"," ",0,"1/64*(8*(2*b^3*x^3 + 6*a*b^2*x^2 + 2*a^3 + (6*a^2 + 5)*b*x + 5*a)*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^2 + 8*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^3 - (8*b^4*x^4 + 32*a*b^3*x^3 + 8*(6*a^2 + 5)*b^2*x^2 + 8*a^4 + 16*(2*a^3 + 5*a)*b*x + 40*a^2 + 17)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) + (2*b^3*x^3 + 6*a*b^2*x^2 + 2*a^3 + (6*a^2 + 17)*b*x + 17*a)*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))/b","A",0
268,1,160,0,0.434268," ","integrate((b^2*x^2+2*a*b*x+a^2+1)^(3/2)*arcsinh(b*x+a),x, algorithm=""fricas"")","-\frac{b^{4} x^{4} + 4 \, a b^{3} x^{3} + {\left(6 \, a^{2} + 5\right)} b^{2} x^{2} + 2 \, {\left(2 \, a^{3} + 5 \, a\right)} b x - 2 \, {\left(2 \, b^{3} x^{3} + 6 \, a b^{2} x^{2} + 2 \, a^{3} + {\left(6 \, a^{2} + 5\right)} b x + 5 \, a\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right) - 3 \, \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{2}}{16 \, b}"," ",0,"-1/16*(b^4*x^4 + 4*a*b^3*x^3 + (6*a^2 + 5)*b^2*x^2 + 2*(2*a^3 + 5*a)*b*x - 2*(2*b^3*x^3 + 6*a*b^2*x^2 + 2*a^3 + (6*a^2 + 5)*b*x + 5*a)*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) - 3*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^2)/b","A",0
269,0,0,0,0.416111," ","integrate((b^2*x^2+2*a*b*x+a^2+1)^(3/2)/arcsinh(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2} + 1\right)}^{\frac{3}{2}}}{\operatorname{arsinh}\left(b x + a\right)}, x\right)"," ",0,"integral((b^2*x^2 + 2*a*b*x + a^2 + 1)^(3/2)/arcsinh(b*x + a), x)","F",0
270,0,0,0,0.488862," ","integrate((b^2*x^2+2*a*b*x+a^2+1)^(3/2)/arcsinh(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2} + 1\right)}^{\frac{3}{2}}}{\operatorname{arsinh}\left(b x + a\right)^{2}}, x\right)"," ",0,"integral((b^2*x^2 + 2*a*b*x + a^2 + 1)^(3/2)/arcsinh(b*x + a)^2, x)","F",0
271,0,0,0,0.656500," ","integrate((b^2*x^2+2*a*b*x+a^2+1)^(3/2)/arcsinh(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2} + 1\right)}^{\frac{3}{2}}}{\operatorname{arsinh}\left(b x + a\right)^{3}}, x\right)"," ",0,"integral((b^2*x^2 + 2*a*b*x + a^2 + 1)^(3/2)/arcsinh(b*x + a)^3, x)","F",0
272,1,32,0,0.490295," ","integrate(arcsinh(b*x+a)^3/(b^2*x^2+2*a*b*x+a^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{4}}{4 \, b}"," ",0,"1/4*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^4/b","B",0
273,1,32,0,0.832615," ","integrate(arcsinh(b*x+a)^2/(b^2*x^2+2*a*b*x+a^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{3}}{3 \, b}"," ",0,"1/3*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^3/b","B",0
274,1,32,0,0.547545," ","integrate(arcsinh(b*x+a)/(b^2*x^2+2*a*b*x+a^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{2}}{2 \, b}"," ",0,"1/2*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^2/b","B",0
275,1,30,0,0.413040," ","integrate(1/arcsinh(b*x+a)/(b^2*x^2+2*a*b*x+a^2+1)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(\log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)\right)}{b}"," ",0,"log(log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)))/b","B",0
276,1,32,0,0.469146," ","integrate(1/arcsinh(b*x+a)^2/(b^2*x^2+2*a*b*x+a^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{b \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)}"," ",0,"-1/(b*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)))","B",0
277,1,32,0,0.885920," ","integrate(1/arcsinh(b*x+a)^3/(b^2*x^2+2*a*b*x+a^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2 \, b \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)^{2}}"," ",0,"-1/2/(b*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))^2)","B",0
278,0,0,0,0.409864," ","integrate(arcsinh(b*x+a)^3/(b^2*x^2+2*a*b*x+a^2+1)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} \operatorname{arsinh}\left(b x + a\right)^{3}}{b^{4} x^{4} + 4 \, a b^{3} x^{3} + 2 \, {\left(3 \, a^{2} + 1\right)} b^{2} x^{2} + a^{4} + 4 \, {\left(a^{3} + a\right)} b x + 2 \, a^{2} + 1}, x\right)"," ",0,"integral(sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*arcsinh(b*x + a)^3/(b^4*x^4 + 4*a*b^3*x^3 + 2*(3*a^2 + 1)*b^2*x^2 + a^4 + 4*(a^3 + a)*b*x + 2*a^2 + 1), x)","F",0
279,0,0,0,0.562452," ","integrate(arcsinh(b*x+a)^2/(b^2*x^2+2*a*b*x+a^2+1)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} \operatorname{arsinh}\left(b x + a\right)^{2}}{b^{4} x^{4} + 4 \, a b^{3} x^{3} + 2 \, {\left(3 \, a^{2} + 1\right)} b^{2} x^{2} + a^{4} + 4 \, {\left(a^{3} + a\right)} b x + 2 \, a^{2} + 1}, x\right)"," ",0,"integral(sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*arcsinh(b*x + a)^2/(b^4*x^4 + 4*a*b^3*x^3 + 2*(3*a^2 + 1)*b^2*x^2 + a^4 + 4*(a^3 + a)*b*x + 2*a^2 + 1), x)","F",0
280,1,115,0,0.628730," ","integrate(arcsinh(b*x+a)/(b^2*x^2+2*a*b*x+a^2+1)^(3/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} {\left(b x + a\right)} \log\left(b x + a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right) - {\left(b^{2} x^{2} + 2 \, a b x + a^{2} + 1\right)} \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + 1\right)}{2 \, {\left(b^{3} x^{2} + 2 \, a b^{2} x + {\left(a^{2} + 1\right)} b\right)}}"," ",0,"1/2*(2*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*(b*x + a)*log(b*x + a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) - (b^2*x^2 + 2*a*b*x + a^2 + 1)*log(b^2*x^2 + 2*a*b*x + a^2 + 1))/(b^3*x^2 + 2*a*b^2*x + (a^2 + 1)*b)","B",0
281,0,0,0,0.699354," ","integrate(1/(b^2*x^2+2*a*b*x+a^2+1)^(3/2)/arcsinh(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}}{{\left(b^{4} x^{4} + 4 \, a b^{3} x^{3} + 2 \, {\left(3 \, a^{2} + 1\right)} b^{2} x^{2} + a^{4} + 4 \, {\left(a^{3} + a\right)} b x + 2 \, a^{2} + 1\right)} \operatorname{arsinh}\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)/((b^4*x^4 + 4*a*b^3*x^3 + 2*(3*a^2 + 1)*b^2*x^2 + a^4 + 4*(a^3 + a)*b*x + 2*a^2 + 1)*arcsinh(b*x + a)), x)","F",0
282,0,0,0,0.624511," ","integrate(1/(b^2*x^2+2*a*b*x+a^2+1)^(3/2)/arcsinh(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}}{{\left(b^{4} x^{4} + 4 \, a b^{3} x^{3} + 2 \, {\left(3 \, a^{2} + 1\right)} b^{2} x^{2} + a^{4} + 4 \, {\left(a^{3} + a\right)} b x + 2 \, a^{2} + 1\right)} \operatorname{arsinh}\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)/((b^4*x^4 + 4*a*b^3*x^3 + 2*(3*a^2 + 1)*b^2*x^2 + a^4 + 4*(a^3 + a)*b*x + 2*a^2 + 1)*arcsinh(b*x + a)^2), x)","F",0
283,1,52,0,0.757771," ","integrate(x^3*arcsinh(a*x^2),x, algorithm=""fricas"")","-\frac{\sqrt{a^{2} x^{4} + 1} a x^{2} - {\left(2 \, a^{2} x^{4} + 1\right)} \log\left(a x^{2} + \sqrt{a^{2} x^{4} + 1}\right)}{8 \, a^{2}}"," ",0,"-1/8*(sqrt(a^2*x^4 + 1)*a*x^2 - (2*a^2*x^4 + 1)*log(a*x^2 + sqrt(a^2*x^4 + 1)))/a^2","A",0
284,0,0,0,0.720560," ","integrate(x^2*arcsinh(a*x^2),x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \operatorname{arsinh}\left(a x^{2}\right), x\right)"," ",0,"integral(x^2*arcsinh(a*x^2), x)","F",0
285,1,42,0,0.483417," ","integrate(x*arcsinh(a*x^2),x, algorithm=""fricas"")","\frac{a x^{2} \log\left(a x^{2} + \sqrt{a^{2} x^{4} + 1}\right) - \sqrt{a^{2} x^{4} + 1}}{2 \, a}"," ",0,"1/2*(a*x^2*log(a*x^2 + sqrt(a^2*x^4 + 1)) - sqrt(a^2*x^4 + 1))/a","A",0
286,0,0,0,0.651878," ","integrate(arcsinh(a*x^2),x, algorithm=""fricas"")","{\rm integral}\left(\operatorname{arsinh}\left(a x^{2}\right), x\right)"," ",0,"integral(arcsinh(a*x^2), x)","F",0
287,0,0,0,0.544442," ","integrate(arcsinh(a*x^2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(a x^{2}\right)}{x}, x\right)"," ",0,"integral(arcsinh(a*x^2)/x, x)","F",0
288,0,0,0,0.606784," ","integrate(arcsinh(a*x^2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(a x^{2}\right)}{x^{2}}, x\right)"," ",0,"integral(arcsinh(a*x^2)/x^2, x)","F",0
289,1,106,0,1.048378," ","integrate(arcsinh(a*x^2)/x^3,x, algorithm=""fricas"")","-\frac{a x^{2} \log\left(-a x^{2} + \sqrt{a^{2} x^{4} + 1} + 1\right) - a x^{2} \log\left(-a x^{2} + \sqrt{a^{2} x^{4} + 1} - 1\right) - x^{2} \log\left(-a x^{2} + \sqrt{a^{2} x^{4} + 1}\right) - {\left(x^{2} - 1\right)} \log\left(a x^{2} + \sqrt{a^{2} x^{4} + 1}\right)}{2 \, x^{2}}"," ",0,"-1/2*(a*x^2*log(-a*x^2 + sqrt(a^2*x^4 + 1) + 1) - a*x^2*log(-a*x^2 + sqrt(a^2*x^4 + 1) - 1) - x^2*log(-a*x^2 + sqrt(a^2*x^4 + 1)) - (x^2 - 1)*log(a*x^2 + sqrt(a^2*x^4 + 1)))/x^2","B",0
290,0,0,0,0.591148," ","integrate(arcsinh(a*x^2)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(a x^{2}\right)}{x^{4}}, x\right)"," ",0,"integral(arcsinh(a*x^2)/x^4, x)","F",0
291,0,0,0,0.547576," ","integrate(arcsinh(a*x^5)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(a x^{5}\right)}{x}, x\right)"," ",0,"integral(arcsinh(a*x^5)/x, x)","F",0
292,1,40,0,0.782968," ","integrate(x^2*arcsinh(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
293,1,35,0,0.717875," ","integrate(x*arcsinh(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
294,1,28,0,0.771839," ","integrate(arcsinh(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
295,0,0,0,0.716918," ","integrate(arcsinh(x^(1/2))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(\sqrt{x}\right)}{x}, x\right)"," ",0,"integral(arcsinh(sqrt(x))/x, x)","F",0
296,1,25,0,0.550563," ","integrate(arcsinh(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
297,1,32,0,0.569082," ","integrate(arcsinh(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
298,1,37,0,0.606676," ","integrate(arcsinh(x^(1/2))/x^4,x, algorithm=""fricas"")","-\frac{{\left(8 \, x^{2} - 4 \, x + 3\right)} \sqrt{x + 1} \sqrt{x} + 15 \, \log\left(\sqrt{x + 1} + \sqrt{x}\right)}{45 \, x^{3}}"," ",0,"-1/45*((8*x^2 - 4*x + 3)*sqrt(x + 1)*sqrt(x) + 15*log(sqrt(x + 1) + sqrt(x)))/x^3","A",0
299,1,42,0,0.594029," ","integrate(arcsinh(x^(1/2))/x^5,x, algorithm=""fricas"")","\frac{{\left(16 \, x^{3} - 8 \, x^{2} + 6 \, x - 5\right)} \sqrt{x + 1} \sqrt{x} - 35 \, \log\left(\sqrt{x + 1} + \sqrt{x}\right)}{140 \, x^{4}}"," ",0,"1/140*((16*x^3 - 8*x^2 + 6*x - 5)*sqrt(x + 1)*sqrt(x) - 35*log(sqrt(x + 1) + sqrt(x)))/x^4","A",0
300,1,122,0,0.676207," ","integrate(x^2*arcsinh(a/x),x, algorithm=""fricas"")","\frac{1}{6} \, a^{3} \log\left(x \sqrt{\frac{a^{2} + x^{2}}{x^{2}}} - x\right) + \frac{1}{6} \, a x^{2} \sqrt{\frac{a^{2} + x^{2}}{x^{2}}} + \frac{1}{3} \, {\left(x^{3} - 1\right)} \log\left(\frac{x \sqrt{\frac{a^{2} + x^{2}}{x^{2}}} + a}{x}\right) + \frac{1}{3} \, \log\left(x \sqrt{\frac{a^{2} + x^{2}}{x^{2}}} + a - x\right) - \frac{1}{3} \, \log\left(x \sqrt{\frac{a^{2} + x^{2}}{x^{2}}} - a - x\right)"," ",0,"1/6*a^3*log(x*sqrt((a^2 + x^2)/x^2) - x) + 1/6*a*x^2*sqrt((a^2 + x^2)/x^2) + 1/3*(x^3 - 1)*log((x*sqrt((a^2 + x^2)/x^2) + a)/x) + 1/3*log(x*sqrt((a^2 + x^2)/x^2) + a - x) - 1/3*log(x*sqrt((a^2 + x^2)/x^2) - a - x)","B",0
301,1,45,0,0.874654," ","integrate(x*arcsinh(a/x),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} \log\left(\frac{x \sqrt{\frac{a^{2} + x^{2}}{x^{2}}} + a}{x}\right) + \frac{1}{2} \, a x \sqrt{\frac{a^{2} + x^{2}}{x^{2}}}"," ",0,"1/2*x^2*log((x*sqrt((a^2 + x^2)/x^2) + a)/x) + 1/2*a*x*sqrt((a^2 + x^2)/x^2)","A",0
302,1,96,0,0.503388," ","integrate(arcsinh(a/x),x, algorithm=""fricas"")","-a \log\left(x \sqrt{\frac{a^{2} + x^{2}}{x^{2}}} - x\right) + {\left(x - 1\right)} \log\left(\frac{x \sqrt{\frac{a^{2} + x^{2}}{x^{2}}} + a}{x}\right) + \log\left(x \sqrt{\frac{a^{2} + x^{2}}{x^{2}}} + a - x\right) - \log\left(x \sqrt{\frac{a^{2} + x^{2}}{x^{2}}} - a - x\right)"," ",0,"-a*log(x*sqrt((a^2 + x^2)/x^2) - x) + (x - 1)*log((x*sqrt((a^2 + x^2)/x^2) + a)/x) + log(x*sqrt((a^2 + x^2)/x^2) + a - x) - log(x*sqrt((a^2 + x^2)/x^2) - a - x)","B",0
303,0,0,0,0.471080," ","integrate(arcsinh(a/x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{arsinh}\left(\frac{a}{x}\right)}{x}, x\right)"," ",0,"integral(arcsinh(a/x)/x, x)","F",0
304,1,49,0,0.683792," ","integrate(arcsinh(a/x)/x^2,x, algorithm=""fricas"")","-\frac{a \log\left(\frac{x \sqrt{\frac{a^{2} + x^{2}}{x^{2}}} + a}{x}\right) - x \sqrt{\frac{a^{2} + x^{2}}{x^{2}}}}{a x}"," ",0,"-(a*log((x*sqrt((a^2 + x^2)/x^2) + a)/x) - x*sqrt((a^2 + x^2)/x^2))/(a*x)","A",0
305,1,58,0,0.700061," ","integrate(arcsinh(a/x)/x^3,x, algorithm=""fricas"")","\frac{a x \sqrt{\frac{a^{2} + x^{2}}{x^{2}}} - {\left(2 \, a^{2} + x^{2}\right)} \log\left(\frac{x \sqrt{\frac{a^{2} + x^{2}}{x^{2}}} + a}{x}\right)}{4 \, a^{2} x^{2}}"," ",0,"1/4*(a*x*sqrt((a^2 + x^2)/x^2) - (2*a^2 + x^2)*log((x*sqrt((a^2 + x^2)/x^2) + a)/x))/(a^2*x^2)","A",0
306,1,62,0,0.809133," ","integrate(arcsinh(a/x)/x^4,x, algorithm=""fricas"")","-\frac{3 \, a^{3} \log\left(\frac{x \sqrt{\frac{a^{2} + x^{2}}{x^{2}}} + a}{x}\right) - {\left(a^{2} x - 2 \, x^{3}\right)} \sqrt{\frac{a^{2} + x^{2}}{x^{2}}}}{9 \, a^{3} x^{3}}"," ",0,"-1/9*(3*a^3*log((x*sqrt((a^2 + x^2)/x^2) + a)/x) - (a^2*x - 2*x^3)*sqrt((a^2 + x^2)/x^2))/(a^3*x^3)","A",0
307,-2,0,0,0.000000," ","integrate(x^m*arcsinh(a*x^n),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
308,-2,0,0,0.000000," ","integrate(x^2*arcsinh(a*x^n),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
309,-2,0,0,0.000000," ","integrate(x*arcsinh(a*x^n),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
310,-2,0,0,0.000000," ","integrate(arcsinh(a*x^n),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
311,-2,0,0,0.000000," ","integrate(arcsinh(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
312,-2,0,0,0.000000," ","integrate(arcsinh(a*x^n)/x^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
313,-2,0,0,0.000000," ","integrate(arcsinh(a*x^n)/x^3,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
314,1,269,0,0.522777," ","integrate((a+b*arcsinh(I+d*x^2))^4,x, algorithm=""fricas"")","\frac{b^{4} d x \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right)^{4} + 4 \, {\left(a b^{3} d x - 2 \, \sqrt{d^{2} x^{2} + 2 i \, d} b^{4}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right)^{3} + {\left(a^{4} + 48 \, a^{2} b^{2} + 384 \, b^{4}\right)} d x - 6 \, {\left(4 \, \sqrt{d^{2} x^{2} + 2 i \, d} a b^{3} - {\left(a^{2} b^{2} + 8 \, b^{4}\right)} d x\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right)^{2} + 4 \, {\left({\left(a^{3} b + 24 \, a b^{3}\right)} d x - 6 \, {\left(a^{2} b^{2} + 8 \, b^{4}\right)} \sqrt{d^{2} x^{2} + 2 i \, d}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right) - 8 \, {\left(a^{3} b + 24 \, a b^{3}\right)} \sqrt{d^{2} x^{2} + 2 i \, d}}{d}"," ",0,"(b^4*d*x*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I)^4 + 4*(a*b^3*d*x - 2*sqrt(d^2*x^2 + 2*I*d)*b^4)*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I)^3 + (a^4 + 48*a^2*b^2 + 384*b^4)*d*x - 6*(4*sqrt(d^2*x^2 + 2*I*d)*a*b^3 - (a^2*b^2 + 8*b^4)*d*x)*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I)^2 + 4*((a^3*b + 24*a*b^3)*d*x - 6*(a^2*b^2 + 8*b^4)*sqrt(d^2*x^2 + 2*I*d))*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I) - 8*(a^3*b + 24*a*b^3)*sqrt(d^2*x^2 + 2*I*d))/d","B",0
315,1,188,0,0.480814," ","integrate((a+b*arcsinh(I+d*x^2))^3,x, algorithm=""fricas"")","\frac{b^{3} d x \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right)^{3} + {\left(a^{3} + 24 \, a b^{2}\right)} d x + 3 \, {\left(a b^{2} d x - 2 \, \sqrt{d^{2} x^{2} + 2 i \, d} b^{3}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right)^{2} - 3 \, {\left(4 \, \sqrt{d^{2} x^{2} + 2 i \, d} a b^{2} - {\left(a^{2} b + 8 \, b^{3}\right)} d x\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right) - 6 \, \sqrt{d^{2} x^{2} + 2 i \, d} {\left(a^{2} b + 8 \, b^{3}\right)}}{d}"," ",0,"(b^3*d*x*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I)^3 + (a^3 + 24*a*b^2)*d*x + 3*(a*b^2*d*x - 2*sqrt(d^2*x^2 + 2*I*d)*b^3)*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I)^2 - 3*(4*sqrt(d^2*x^2 + 2*I*d)*a*b^2 - (a^2*b + 8*b^3)*d*x)*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I) - 6*sqrt(d^2*x^2 + 2*I*d)*(a^2*b + 8*b^3))/d","A",0
316,1,114,0,0.540494," ","integrate((a+b*arcsinh(I+d*x^2))^2,x, algorithm=""fricas"")","\frac{b^{2} d x \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right)^{2} + {\left(a^{2} + 8 \, b^{2}\right)} d x - 4 \, \sqrt{d^{2} x^{2} + 2 i \, d} a b + 2 \, {\left(a b d x - 2 \, \sqrt{d^{2} x^{2} + 2 i \, d} b^{2}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right)}{d}"," ",0,"(b^2*d*x*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I)^2 + (a^2 + 8*b^2)*d*x - 4*sqrt(d^2*x^2 + 2*I*d)*a*b + 2*(a*b*d*x - 2*sqrt(d^2*x^2 + 2*I*d)*b^2)*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I))/d","A",0
317,1,52,0,0.454364," ","integrate(a+b*arcsinh(I+d*x^2),x, algorithm=""fricas"")","\frac{b d x \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right) + a d x - 2 \, \sqrt{d^{2} x^{2} + 2 i \, d} b}{d}"," ",0,"(b*d*x*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I) + a*d*x - 2*sqrt(d^2*x^2 + 2*I*d)*b)/d","A",0
318,0,0,0,0.564851," ","integrate(1/(a+b*arcsinh(I+d*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right) + a}, x\right)"," ",0,"integral(1/(b*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I) + a), x)","F",0
319,0,0,0,0.843602," ","integrate(1/(a+b*arcsinh(I+d*x^2))^2,x, algorithm=""fricas"")","\frac{2 \, {\left(b^{2} d \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right) + a b d\right)} {\rm integral}\left(\frac{\sqrt{d^{2} x^{2} + 2 i \, d} x}{2 \, a b d x^{2} + 4 i \, a b + {\left(2 \, b^{2} d x^{2} + 4 i \, b^{2}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right)}, x\right) - \sqrt{d^{2} x^{2} + 2 i \, d}}{2 \, {\left(b^{2} d \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right) + a b d\right)}}"," ",0,"1/2*(2*(b^2*d*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I) + a*b*d)*integral(sqrt(d^2*x^2 + 2*I*d)*x/(2*a*b*d*x^2 + 4*I*a*b + (2*b^2*d*x^2 + 4*I*b^2)*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I)), x) - sqrt(d^2*x^2 + 2*I*d))/(b^2*d*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I) + a*b*d)","F",0
320,0,0,0,0.511800," ","integrate(1/(a+b*arcsinh(I+d*x^2))^3,x, algorithm=""fricas"")","-\frac{b d x \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right) + a d x - 8 \, {\left(b^{4} d \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right)^{2} + 2 \, a b^{3} d \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right) + a^{2} b^{2} d\right)} {\rm integral}\left(\frac{1}{8 \, {\left(b^{3} \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right) + a b^{2}\right)}}, x\right) + 2 \, \sqrt{d^{2} x^{2} + 2 i \, d} b}{8 \, {\left(b^{4} d \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right)^{2} + 2 \, a b^{3} d \log\left(d x^{2} + \sqrt{d^{2} x^{2} + 2 i \, d} x + i\right) + a^{2} b^{2} d\right)}}"," ",0,"-1/8*(b*d*x*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I) + a*d*x - 8*(b^4*d*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I)^2 + 2*a*b^3*d*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I) + a^2*b^2*d)*integral(1/8/(b^3*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I) + a*b^2), x) + 2*sqrt(d^2*x^2 + 2*I*d)*b)/(b^4*d*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I)^2 + 2*a*b^3*d*log(d*x^2 + sqrt(d^2*x^2 + 2*I*d)*x + I) + a^2*b^2*d)","F",0
321,1,269,0,0.569606," ","integrate((a+b*arcsinh(-I+d*x^2))^4,x, algorithm=""fricas"")","\frac{b^{4} d x \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right)^{4} + 4 \, {\left(a b^{3} d x - 2 \, \sqrt{d^{2} x^{2} - 2 i \, d} b^{4}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right)^{3} + {\left(a^{4} + 48 \, a^{2} b^{2} + 384 \, b^{4}\right)} d x - 6 \, {\left(4 \, \sqrt{d^{2} x^{2} - 2 i \, d} a b^{3} - {\left(a^{2} b^{2} + 8 \, b^{4}\right)} d x\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right)^{2} + 4 \, {\left({\left(a^{3} b + 24 \, a b^{3}\right)} d x - 6 \, {\left(a^{2} b^{2} + 8 \, b^{4}\right)} \sqrt{d^{2} x^{2} - 2 i \, d}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right) - 8 \, {\left(a^{3} b + 24 \, a b^{3}\right)} \sqrt{d^{2} x^{2} - 2 i \, d}}{d}"," ",0,"(b^4*d*x*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I)^4 + 4*(a*b^3*d*x - 2*sqrt(d^2*x^2 - 2*I*d)*b^4)*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I)^3 + (a^4 + 48*a^2*b^2 + 384*b^4)*d*x - 6*(4*sqrt(d^2*x^2 - 2*I*d)*a*b^3 - (a^2*b^2 + 8*b^4)*d*x)*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I)^2 + 4*((a^3*b + 24*a*b^3)*d*x - 6*(a^2*b^2 + 8*b^4)*sqrt(d^2*x^2 - 2*I*d))*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I) - 8*(a^3*b + 24*a*b^3)*sqrt(d^2*x^2 - 2*I*d))/d","B",0
322,1,188,0,0.587346," ","integrate((a+b*arcsinh(-I+d*x^2))^3,x, algorithm=""fricas"")","\frac{b^{3} d x \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right)^{3} + {\left(a^{3} + 24 \, a b^{2}\right)} d x + 3 \, {\left(a b^{2} d x - 2 \, \sqrt{d^{2} x^{2} - 2 i \, d} b^{3}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right)^{2} - 3 \, {\left(4 \, \sqrt{d^{2} x^{2} - 2 i \, d} a b^{2} - {\left(a^{2} b + 8 \, b^{3}\right)} d x\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right) - 6 \, \sqrt{d^{2} x^{2} - 2 i \, d} {\left(a^{2} b + 8 \, b^{3}\right)}}{d}"," ",0,"(b^3*d*x*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I)^3 + (a^3 + 24*a*b^2)*d*x + 3*(a*b^2*d*x - 2*sqrt(d^2*x^2 - 2*I*d)*b^3)*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I)^2 - 3*(4*sqrt(d^2*x^2 - 2*I*d)*a*b^2 - (a^2*b + 8*b^3)*d*x)*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I) - 6*sqrt(d^2*x^2 - 2*I*d)*(a^2*b + 8*b^3))/d","A",0
323,1,114,0,0.513773," ","integrate((a+b*arcsinh(-I+d*x^2))^2,x, algorithm=""fricas"")","\frac{b^{2} d x \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right)^{2} + {\left(a^{2} + 8 \, b^{2}\right)} d x - 4 \, \sqrt{d^{2} x^{2} - 2 i \, d} a b + 2 \, {\left(a b d x - 2 \, \sqrt{d^{2} x^{2} - 2 i \, d} b^{2}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right)}{d}"," ",0,"(b^2*d*x*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I)^2 + (a^2 + 8*b^2)*d*x - 4*sqrt(d^2*x^2 - 2*I*d)*a*b + 2*(a*b*d*x - 2*sqrt(d^2*x^2 - 2*I*d)*b^2)*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I))/d","A",0
324,1,52,0,0.483977," ","integrate(a+b*arcsinh(-I+d*x^2),x, algorithm=""fricas"")","\frac{b d x \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right) + a d x - 2 \, \sqrt{d^{2} x^{2} - 2 i \, d} b}{d}"," ",0,"(b*d*x*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I) + a*d*x - 2*sqrt(d^2*x^2 - 2*I*d)*b)/d","A",0
325,0,0,0,0.426814," ","integrate(1/(a+b*arcsinh(-I+d*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right) + a}, x\right)"," ",0,"integral(1/(b*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I) + a), x)","F",0
326,0,0,0,0.677425," ","integrate(1/(a+b*arcsinh(-I+d*x^2))^2,x, algorithm=""fricas"")","\frac{2 \, {\left(b^{2} d \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right) + a b d\right)} {\rm integral}\left(\frac{\sqrt{d^{2} x^{2} - 2 i \, d} x}{2 \, a b d x^{2} - 4 i \, a b + {\left(2 \, b^{2} d x^{2} - 4 i \, b^{2}\right)} \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right)}, x\right) - \sqrt{d^{2} x^{2} - 2 i \, d}}{2 \, {\left(b^{2} d \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right) + a b d\right)}}"," ",0,"1/2*(2*(b^2*d*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I) + a*b*d)*integral(sqrt(d^2*x^2 - 2*I*d)*x/(2*a*b*d*x^2 - 4*I*a*b + (2*b^2*d*x^2 - 4*I*b^2)*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I)), x) - sqrt(d^2*x^2 - 2*I*d))/(b^2*d*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I) + a*b*d)","F",0
327,0,0,0,0.471459," ","integrate(1/(a+b*arcsinh(-I+d*x^2))^3,x, algorithm=""fricas"")","-\frac{b d x \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right) + a d x - 8 \, {\left(b^{4} d \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right)^{2} + 2 \, a b^{3} d \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right) + a^{2} b^{2} d\right)} {\rm integral}\left(\frac{1}{8 \, {\left(b^{3} \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right) + a b^{2}\right)}}, x\right) + 2 \, \sqrt{d^{2} x^{2} - 2 i \, d} b}{8 \, {\left(b^{4} d \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right)^{2} + 2 \, a b^{3} d \log\left(d x^{2} + \sqrt{d^{2} x^{2} - 2 i \, d} x - i\right) + a^{2} b^{2} d\right)}}"," ",0,"-1/8*(b*d*x*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I) + a*d*x - 8*(b^4*d*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I)^2 + 2*a*b^3*d*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I) + a^2*b^2*d)*integral(1/8/(b^3*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I) + a*b^2), x) + 2*sqrt(d^2*x^2 - 2*I*d)*b)/(b^4*d*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I)^2 + 2*a*b^3*d*log(d*x^2 + sqrt(d^2*x^2 - 2*I*d)*x - I) + a^2*b^2*d)","F",0
328,-2,0,0,0.000000," ","integrate((a+b*arcsinh(I+d*x^2))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
329,-2,0,0,0.000000," ","integrate((a+b*arcsinh(I+d*x^2))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
330,-2,0,0,0.000000," ","integrate((a+b*arcsinh(I+d*x^2))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
331,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(I+d*x^2))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
332,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(I+d*x^2))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
333,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(I+d*x^2))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
334,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(I+d*x^2))^(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
335,-2,0,0,0.000000," ","integrate((a+b*arcsinh(-I+d*x^2))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
336,-2,0,0,0.000000," ","integrate((a+b*arcsinh(-I+d*x^2))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
337,-2,0,0,0.000000," ","integrate((a+b*arcsinh(-I+d*x^2))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
338,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(-I+d*x^2))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
339,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(-I+d*x^2))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
340,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(-I+d*x^2))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
341,-2,0,0,0.000000," ","integrate(1/(a+b*arcsinh(-I+d*x^2))^(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
342,0,0,0,0.619104," ","integrate((a+b*arcsinh((-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{arsinh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{n}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b*arcsinh(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^n/(c^2*x^2 - 1), x)","F",0
343,0,0,0,0.495641," ","integrate((a+b*arcsinh((-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{arsinh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{3} + 3 \, a b^{2} \operatorname{arsinh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{2} + 3 \, a^{2} b \operatorname{arsinh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a^{3}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b^3*arcsinh(sqrt(-c*x + 1)/sqrt(c*x + 1))^3 + 3*a*b^2*arcsinh(sqrt(-c*x + 1)/sqrt(c*x + 1))^2 + 3*a^2*b*arcsinh(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a^3)/(c^2*x^2 - 1), x)","F",0
344,0,0,0,0.474420," ","integrate((a+b*arcsinh((-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{arsinh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{2} + 2 \, a b \operatorname{arsinh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a^{2}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b^2*arcsinh(sqrt(-c*x + 1)/sqrt(c*x + 1))^2 + 2*a*b*arcsinh(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a^2)/(c^2*x^2 - 1), x)","F",0
345,0,0,0,0.527684," ","integrate((a+b*arcsinh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))/(-c^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \operatorname{arsinh}\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b*arcsinh(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)/(c^2*x^2 - 1), x)","F",0
346,0,0,0,0.534475," ","integrate(1/(-c^2*x^2+1)/(a+b*arcsinh((-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{arsinh}\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)*arcsinh(sqrt(-c*x + 1)/sqrt(c*x + 1)) - a), x)","F",0
347,0,0,0,0.477632," ","integrate(1/(-c^2*x^2+1)/(a+b*arcsinh((-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{arsinh}\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{arsinh}\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)*arcsinh(sqrt(-c*x + 1)/sqrt(c*x + 1))^2 - a^2 + 2*(a*b*c^2*x^2 - a*b)*arcsinh(sqrt(-c*x + 1)/sqrt(c*x + 1))), x)","F",0
348,-2,0,0,0.000000," ","integrate(arcsinh(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
349,1,138,0,0.558650," ","integrate((b*x+a+(1+(b*x+a)^2)^(1/2))*x^3,x, algorithm=""fricas"")","\frac{24 \, b^{5} x^{5} + 30 \, a b^{4} x^{4} + 15 \, {\left(4 \, a^{3} - 3 \, a\right)} \log\left(-b x - a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right) + {\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^{2} x^{2} + 2 \, a b x + a^{2} + 1}}{120 \, b^{4}}"," ",0,"1/120*(24*b^5*x^5 + 30*a*b^4*x^4 + 15*(4*a^3 - 3*a)*log(-b*x - a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) + (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^2*x^2 + 2*a*b*x + a^2 + 1))/b^4","A",0
350,1,117,0,0.632650," ","integrate((b*x+a+(1+(b*x+a)^2)^(1/2))*x^2,x, algorithm=""fricas"")","\frac{6 \, b^{4} x^{4} + 8 \, a b^{3} x^{3} - 3 \, {\left(4 \, a^{2} - 1\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} + 2 \, a b^{2} x^{2} + 2 \, a^{3} - {\left(2 \, a^{2} - 3\right)} b x - 13 \, a\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}}{24 \, b^{3}}"," ",0,"1/24*(6*b^4*x^4 + 8*a*b^3*x^3 - 3*(4*a^2 - 1)*log(-b*x - a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) + (6*b^3*x^3 + 2*a*b^2*x^2 + 2*a^3 - (2*a^2 - 3)*b*x - 13*a)*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))/b^3","A",0
351,1,93,0,0.558301," ","integrate((b*x+a+(1+(b*x+a)^2)^(1/2))*x,x, algorithm=""fricas"")","\frac{2 \, b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a \log\left(-b x - a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right) + {\left(2 \, b^{2} x^{2} + a b x - a^{2} + 2\right)} \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}}{6 \, b^{2}}"," ",0,"1/6*(2*b^3*x^3 + 3*a*b^2*x^2 + 3*a*log(-b*x - a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) + (2*b^2*x^2 + a*b*x - a^2 + 2)*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1))/b^2","A",0
352,1,73,0,0.597065," ","integrate(b*x+a+(1+(b*x+a)^2)^(1/2),x, algorithm=""fricas"")","\frac{b^{2} x^{2} + 2 \, a b x + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} {\left(b x + a\right)} - \log\left(-b x - a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right)}{2 \, b}"," ",0,"1/2*(b^2*x^2 + 2*a*b*x + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*(b*x + a) - log(-b*x - a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)))/b","B",0
353,1,136,0,0.494405," ","integrate((b*x+a+(1+(b*x+a)^2)^(1/2))/x,x, algorithm=""fricas"")","b x - a \log\left(-b x - a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right) + a \log\left(x\right) + \sqrt{a^{2} + 1} \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) + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}"," ",0,"b*x - a*log(-b*x - a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) + a*log(x) + sqrt(a^2 + 1)*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) + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)","A",0
354,1,183,0,0.687368," ","integrate((b*x+a+(1+(b*x+a)^2)^(1/2))/x^2,x, algorithm=""fricas"")","\frac{\sqrt{a^{2} + 1} a 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)} b x \log\left(-b x - a + \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1}\right) + {\left(a^{2} + 1\right)} b x \log\left(x\right) - a^{3} - {\left(a^{2} + 1\right)} b x - \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} {\left(a^{2} + 1\right)} - a}{{\left(a^{2} + 1\right)} x}"," ",0,"(sqrt(a^2 + 1)*a*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)*b*x*log(-b*x - a + sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)) + (a^2 + 1)*b*x*log(x) - a^3 - (a^2 + 1)*b*x - sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*(a^2 + 1) - a)/((a^2 + 1)*x)","B",0
355,1,181,0,0.711709," ","integrate((b*x+a+(1+(b*x+a)^2)^(1/2))/x^3,x, algorithm=""fricas"")","\frac{\sqrt{a^{2} + 1} 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) - 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^{2} x^{2} + 2 \, a b x + a^{2} + 1} - a}{2 \, {\left(a^{4} + 2 \, a^{2} + 1\right)} x^{2}}"," ",0,"1/2*(sqrt(a^2 + 1)*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^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^2*x^2 + 2*a*b*x + a^2 + 1) - a)/((a^4 + 2*a^2 + 1)*x^2)","A",0
356,1,230,0,0.513163," ","integrate((b*x+a+(1+(b*x+a)^2)^(1/2))/x^4,x, algorithm=""fricas"")","\frac{3 \, \sqrt{a^{2} + 1} a 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) - 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^{2} x^{2} + 2 \, a b x + a^{2} + 1} - 2 \, a}{6 \, {\left(a^{6} + 3 \, a^{4} + 3 \, a^{2} + 1\right)} x^{3}}"," ",0,"1/6*(3*sqrt(a^2 + 1)*a*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) - 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^2*x^2 + 2*a*b*x + a^2 + 1) - 2*a)/((a^6 + 3*a^4 + 3*a^2 + 1)*x^3)","A",0
357,1,295,0,0.685253," ","integrate((b*x+a+(1+(b*x+a)^2)^(1/2))/x^5,x, algorithm=""fricas"")","\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} + \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) - 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^{2} x^{2} + 2 \, a b x + a^{2} + 1} - 6 \, a}{24 \, {\left(a^{8} + 4 \, a^{6} + 6 \, a^{4} + 4 \, a^{2} + 1\right)} x^{4}}"," ",0,"1/24*(3*(4*a^2 - 1)*sqrt(a^2 + 1)*b^4*x^4*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) - 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^2*x^2 + 2*a*b*x + a^2 + 1) - 6*a)/((a^8 + 4*a^6 + 6*a^4 + 4*a^2 + 1)*x^4)","A",0
358,0,0,0,0.629057," ","integrate(exp(arcsinh(b*x+a)^2)*x^3,x, algorithm=""fricas"")","{\rm integral}\left(x^{3} e^{\left(\operatorname{arsinh}\left(b x + a\right)^{2}\right)}, x\right)"," ",0,"integral(x^3*e^(arcsinh(b*x + a)^2), x)","F",0
359,0,0,0,0.567026," ","integrate(exp(arcsinh(b*x+a)^2)*x^2,x, algorithm=""fricas"")","{\rm integral}\left(x^{2} e^{\left(\operatorname{arsinh}\left(b x + a\right)^{2}\right)}, x\right)"," ",0,"integral(x^2*e^(arcsinh(b*x + a)^2), x)","F",0
360,0,0,0,0.496834," ","integrate(exp(arcsinh(b*x+a)^2)*x,x, algorithm=""fricas"")","{\rm integral}\left(x e^{\left(\operatorname{arsinh}\left(b x + a\right)^{2}\right)}, x\right)"," ",0,"integral(x*e^(arcsinh(b*x + a)^2), x)","F",0
361,0,0,0,0.577278," ","integrate(exp(arcsinh(b*x+a)^2),x, algorithm=""fricas"")","{\rm integral}\left(e^{\left(\operatorname{arsinh}\left(b x + a\right)^{2}\right)}, x\right)"," ",0,"integral(e^(arcsinh(b*x + a)^2), x)","F",0
362,0,0,0,0.608864," ","integrate(exp(arcsinh(b*x+a)^2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\operatorname{arsinh}\left(b x + a\right)^{2}\right)}}{x}, x\right)"," ",0,"integral(e^(arcsinh(b*x + a)^2)/x, x)","F",0
363,0,0,0,0.477150," ","integrate(exp(arcsinh(b*x+a)^2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\operatorname{arsinh}\left(b x + a\right)^{2}\right)}}{x^{2}}, x\right)"," ",0,"integral(e^(arcsinh(b*x + a)^2)/x^2, x)","F",0
364,0,0,0,0.717870," ","integrate(arcsinh(b*x+a)/(a*d/b+d*x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \operatorname{arsinh}\left(b x + a\right)}{b d x + a d}, x\right)"," ",0,"integral(b*arcsinh(b*x + a)/(b*d*x + a*d), x)","F",0
365,0,0,0,0.608166," ","integrate(x/arcsinh(x)/(x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{\sqrt{x^{2} + 1} \operatorname{arsinh}\left(x\right)}, x\right)"," ",0,"integral(x/(sqrt(x^2 + 1)*arcsinh(x)), x)","F",0
366,1,66,0,0.694153," ","integrate(x^3*arcsinh(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
367,1,152,0,0.636610," ","integrate(x^(-1+n)*arcsinh(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
368,1,242,0,0.898096," ","integrate(arcsinh(c/(b*x+a)),x, algorithm=""fricas"")","\frac{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) + a \log\left(-b x + {\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}}} - a + c\right) - a \log\left(-b x + {\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}}} - a - c\right) - c \log\left(-b x + {\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}}} - a\right)}{b}"," ",0,"(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)) + a*log(-b*x + (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)) - a + c) - a*log(-b*x + (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)) - a - c) - c*log(-b*x + (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)) - a))/b","B",0
369,1,1,0,0.483882," ","integrate(x/arcsinh(sinh(x)),x, algorithm=""fricas"")","x"," ",0,"x","A",0
370,1,108,0,0.572487," ","integrate(arcsinh((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
371,1,33,0,0.477361," ","integrate(1/arcsinh((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
