1,1,78,0,0.608680," ","integrate(log(c*(e*x+d))^4,x, algorithm=""fricas"")","\frac{{\left(e x + d\right)} \log\left(c e x + c d\right)^{4} - 4 \, {\left(e x + d\right)} \log\left(c e x + c d\right)^{3} + 12 \, {\left(e x + d\right)} \log\left(c e x + c d\right)^{2} + 24 \, e x - 24 \, {\left(e x + d\right)} \log\left(c e x + c d\right)}{e}"," ",0,"((e*x + d)*log(c*e*x + c*d)^4 - 4*(e*x + d)*log(c*e*x + c*d)^3 + 12*(e*x + d)*log(c*e*x + c*d)^2 + 24*e*x - 24*(e*x + d)*log(c*e*x + c*d))/e","A",0
2,1,60,0,0.949087," ","integrate(log(c*(e*x+d))^3,x, algorithm=""fricas"")","\frac{{\left(e x + d\right)} \log\left(c e x + c d\right)^{3} - 3 \, {\left(e x + d\right)} \log\left(c e x + c d\right)^{2} - 6 \, e x + 6 \, {\left(e x + d\right)} \log\left(c e x + c d\right)}{e}"," ",0,"((e*x + d)*log(c*e*x + c*d)^3 - 3*(e*x + d)*log(c*e*x + c*d)^2 - 6*e*x + 6*(e*x + d)*log(c*e*x + c*d))/e","A",0
3,1,42,0,0.890651," ","integrate(log(c*(e*x+d))^2,x, algorithm=""fricas"")","\frac{{\left(e x + d\right)} \log\left(c e x + c d\right)^{2} + 2 \, e x - 2 \, {\left(e x + d\right)} \log\left(c e x + c d\right)}{e}"," ",0,"((e*x + d)*log(c*e*x + c*d)^2 + 2*e*x - 2*(e*x + d)*log(c*e*x + c*d))/e","A",0
4,1,25,0,1.011469," ","integrate(log(c*(e*x+d)),x, algorithm=""fricas"")","-\frac{e x - {\left(e x + d\right)} \log\left(c e x + c d\right)}{e}"," ",0,"-(e*x - (e*x + d)*log(c*e*x + c*d))/e","A",0
5,1,16,0,0.945728," ","integrate(1/log(c*(e*x+d)),x, algorithm=""fricas"")","\frac{\operatorname{log\_integral}\left(c e x + c d\right)}{c e}"," ",0,"log_integral(c*e*x + c*d)/(c*e)","A",0
6,1,47,0,0.914506," ","integrate(1/log(c*(e*x+d))^2,x, algorithm=""fricas"")","-\frac{c e x + c d - \log\left(c e x + c d\right) \operatorname{log\_integral}\left(c e x + c d\right)}{c e \log\left(c e x + c d\right)}"," ",0,"-(c*e*x + c*d - log(c*e*x + c*d)*log_integral(c*e*x + c*d))/(c*e*log(c*e*x + c*d))","A",0
7,1,67,0,1.024143," ","integrate(1/log(c*(e*x+d))^3,x, algorithm=""fricas"")","-\frac{c e x - \log\left(c e x + c d\right)^{2} \operatorname{log\_integral}\left(c e x + c d\right) + c d + {\left(c e x + c d\right)} \log\left(c e x + c d\right)}{2 \, c e \log\left(c e x + c d\right)^{2}}"," ",0,"-1/2*(c*e*x - log(c*e*x + c*d)^2*log_integral(c*e*x + c*d) + c*d + (c*e*x + c*d)*log(c*e*x + c*d))/(c*e*log(c*e*x + c*d)^2)","A",0
8,1,90,0,0.746123," ","integrate(1/log(c*(e*x+d))^4,x, algorithm=""fricas"")","\frac{\log\left(c e x + c d\right)^{3} \operatorname{log\_integral}\left(c e x + c d\right) - 2 \, c e x - {\left(c e x + c d\right)} \log\left(c e x + c d\right)^{2} - 2 \, c d - {\left(c e x + c d\right)} \log\left(c e x + c d\right)}{6 \, c e \log\left(c e x + c d\right)^{3}}"," ",0,"1/6*(log(c*e*x + c*d)^3*log_integral(c*e*x + c*d) - 2*c*e*x - (c*e*x + c*d)*log(c*e*x + c*d)^2 - 2*c*d - (c*e*x + c*d)*log(c*e*x + c*d))/(c*e*log(c*e*x + c*d)^3)","A",0
9,-2,0,0,0.000000," ","integrate(log(c*(e*x+d))^(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
10,-2,0,0,0.000000," ","integrate(log(c*(e*x+d))^(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
11,-2,0,0,0.000000," ","integrate(log(c*(e*x+d))^(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
12,-2,0,0,0.000000," ","integrate(1/log(c*(e*x+d))^(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
13,-2,0,0,0.000000," ","integrate(1/log(c*(e*x+d))^(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
14,-2,0,0,0.000000," ","integrate(1/log(c*(e*x+d))^(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
15,-2,0,0,0.000000," ","integrate(1/log(c*(e*x+d))^(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
16,1,26,0,0.994090," ","integrate(log(c*(e*x+d))^p,x, algorithm=""fricas"")","\frac{\cos\left(\pi p\right) \Gamma\left(p + 1, -\log\left(c e x + c d\right)\right)}{c e}"," ",0,"cos(pi*p)*gamma(p + 1, -log(c*e*x + c*d))/(c*e)","A",0
17,1,614,0,1.186986," ","integrate((a+b*log(c*(e*x+d)^n))^4,x, algorithm=""fricas"")","\frac{b^{4} e x \log\left(c\right)^{4} + {\left(b^{4} e n^{4} x + b^{4} d n^{4}\right)} \log\left(e x + d\right)^{4} - 4 \, {\left(b^{4} e n - a b^{3} e\right)} x \log\left(c\right)^{3} - 4 \, {\left(b^{4} d n^{4} - a b^{3} d n^{3} + {\left(b^{4} e n^{4} - a b^{3} e n^{3}\right)} x - {\left(b^{4} e n^{3} x + b^{4} d n^{3}\right)} \log\left(c\right)\right)} \log\left(e x + d\right)^{3} + 6 \, {\left(2 \, b^{4} e n^{2} - 2 \, a b^{3} e n + a^{2} b^{2} e\right)} x \log\left(c\right)^{2} + 6 \, {\left(2 \, b^{4} d n^{4} - 2 \, a b^{3} d n^{3} + a^{2} b^{2} d n^{2} + {\left(b^{4} e n^{2} x + b^{4} d n^{2}\right)} \log\left(c\right)^{2} + {\left(2 \, b^{4} e n^{4} - 2 \, a b^{3} e n^{3} + a^{2} b^{2} e n^{2}\right)} x - 2 \, {\left(b^{4} d n^{3} - a b^{3} d n^{2} + {\left(b^{4} e n^{3} - a b^{3} e n^{2}\right)} x\right)} \log\left(c\right)\right)} \log\left(e x + d\right)^{2} - 4 \, {\left(6 \, b^{4} e n^{3} - 6 \, a b^{3} e n^{2} + 3 \, a^{2} b^{2} e n - a^{3} b e\right)} x \log\left(c\right) + {\left(24 \, b^{4} e n^{4} - 24 \, a b^{3} e n^{3} + 12 \, a^{2} b^{2} e n^{2} - 4 \, a^{3} b e n + a^{4} e\right)} x - 4 \, {\left(6 \, b^{4} d n^{4} - 6 \, a b^{3} d n^{3} + 3 \, a^{2} b^{2} d n^{2} - a^{3} b d n - {\left(b^{4} e n x + b^{4} d n\right)} \log\left(c\right)^{3} + 3 \, {\left(b^{4} d n^{2} - a b^{3} d n + {\left(b^{4} e n^{2} - a b^{3} e n\right)} x\right)} \log\left(c\right)^{2} + {\left(6 \, b^{4} e n^{4} - 6 \, a b^{3} e n^{3} + 3 \, a^{2} b^{2} e n^{2} - a^{3} b e n\right)} x - 3 \, {\left(2 \, b^{4} d n^{3} - 2 \, a b^{3} d n^{2} + a^{2} b^{2} d n + {\left(2 \, b^{4} e n^{3} - 2 \, a b^{3} e n^{2} + a^{2} b^{2} e n\right)} x\right)} \log\left(c\right)\right)} \log\left(e x + d\right)}{e}"," ",0,"(b^4*e*x*log(c)^4 + (b^4*e*n^4*x + b^4*d*n^4)*log(e*x + d)^4 - 4*(b^4*e*n - a*b^3*e)*x*log(c)^3 - 4*(b^4*d*n^4 - a*b^3*d*n^3 + (b^4*e*n^4 - a*b^3*e*n^3)*x - (b^4*e*n^3*x + b^4*d*n^3)*log(c))*log(e*x + d)^3 + 6*(2*b^4*e*n^2 - 2*a*b^3*e*n + a^2*b^2*e)*x*log(c)^2 + 6*(2*b^4*d*n^4 - 2*a*b^3*d*n^3 + a^2*b^2*d*n^2 + (b^4*e*n^2*x + b^4*d*n^2)*log(c)^2 + (2*b^4*e*n^4 - 2*a*b^3*e*n^3 + a^2*b^2*e*n^2)*x - 2*(b^4*d*n^3 - a*b^3*d*n^2 + (b^4*e*n^3 - a*b^3*e*n^2)*x)*log(c))*log(e*x + d)^2 - 4*(6*b^4*e*n^3 - 6*a*b^3*e*n^2 + 3*a^2*b^2*e*n - a^3*b*e)*x*log(c) + (24*b^4*e*n^4 - 24*a*b^3*e*n^3 + 12*a^2*b^2*e*n^2 - 4*a^3*b*e*n + a^4*e)*x - 4*(6*b^4*d*n^4 - 6*a*b^3*d*n^3 + 3*a^2*b^2*d*n^2 - a^3*b*d*n - (b^4*e*n*x + b^4*d*n)*log(c)^3 + 3*(b^4*d*n^2 - a*b^3*d*n + (b^4*e*n^2 - a*b^3*e*n)*x)*log(c)^2 + (6*b^4*e*n^4 - 6*a*b^3*e*n^3 + 3*a^2*b^2*e*n^2 - a^3*b*e*n)*x - 3*(2*b^4*d*n^3 - 2*a*b^3*d*n^2 + a^2*b^2*d*n + (2*b^4*e*n^3 - 2*a*b^3*e*n^2 + a^2*b^2*e*n)*x)*log(c))*log(e*x + d))/e","B",0
18,1,324,0,0.909443," ","integrate((a+b*log(c*(e*x+d)^n))^3,x, algorithm=""fricas"")","\frac{b^{3} e x \log\left(c\right)^{3} + {\left(b^{3} e n^{3} x + b^{3} d n^{3}\right)} \log\left(e x + d\right)^{3} - 3 \, {\left(b^{3} e n - a b^{2} e\right)} x \log\left(c\right)^{2} - 3 \, {\left(b^{3} d n^{3} - a b^{2} d n^{2} + {\left(b^{3} e n^{3} - a b^{2} e n^{2}\right)} x - {\left(b^{3} e n^{2} x + b^{3} d n^{2}\right)} \log\left(c\right)\right)} \log\left(e x + d\right)^{2} + 3 \, {\left(2 \, b^{3} e n^{2} - 2 \, a b^{2} e n + a^{2} b e\right)} x \log\left(c\right) - {\left(6 \, b^{3} e n^{3} - 6 \, a b^{2} e n^{2} + 3 \, a^{2} b e n - a^{3} e\right)} x + 3 \, {\left(2 \, b^{3} d n^{3} - 2 \, a b^{2} d n^{2} + a^{2} b d n + {\left(b^{3} e n x + b^{3} d n\right)} \log\left(c\right)^{2} + {\left(2 \, b^{3} e n^{3} - 2 \, a b^{2} e n^{2} + a^{2} b e n\right)} x - 2 \, {\left(b^{3} d n^{2} - a b^{2} d n + {\left(b^{3} e n^{2} - a b^{2} e n\right)} x\right)} \log\left(c\right)\right)} \log\left(e x + d\right)}{e}"," ",0,"(b^3*e*x*log(c)^3 + (b^3*e*n^3*x + b^3*d*n^3)*log(e*x + d)^3 - 3*(b^3*e*n - a*b^2*e)*x*log(c)^2 - 3*(b^3*d*n^3 - a*b^2*d*n^2 + (b^3*e*n^3 - a*b^2*e*n^2)*x - (b^3*e*n^2*x + b^3*d*n^2)*log(c))*log(e*x + d)^2 + 3*(2*b^3*e*n^2 - 2*a*b^2*e*n + a^2*b*e)*x*log(c) - (6*b^3*e*n^3 - 6*a*b^2*e*n^2 + 3*a^2*b*e*n - a^3*e)*x + 3*(2*b^3*d*n^3 - 2*a*b^2*d*n^2 + a^2*b*d*n + (b^3*e*n*x + b^3*d*n)*log(c)^2 + (2*b^3*e*n^3 - 2*a*b^2*e*n^2 + a^2*b*e*n)*x - 2*(b^3*d*n^2 - a*b^2*d*n + (b^3*e*n^2 - a*b^2*e*n)*x)*log(c))*log(e*x + d))/e","B",0
19,1,140,0,1.056153," ","integrate((a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","\frac{b^{2} e x \log\left(c\right)^{2} + {\left(b^{2} e n^{2} x + b^{2} d n^{2}\right)} \log\left(e x + d\right)^{2} - 2 \, {\left(b^{2} e n - a b e\right)} x \log\left(c\right) + {\left(2 \, b^{2} e n^{2} - 2 \, a b e n + a^{2} e\right)} x - 2 \, {\left(b^{2} d n^{2} - a b d n + {\left(b^{2} e n^{2} - a b e n\right)} x - {\left(b^{2} e n x + b^{2} d n\right)} \log\left(c\right)\right)} \log\left(e x + d\right)}{e}"," ",0,"(b^2*e*x*log(c)^2 + (b^2*e*n^2*x + b^2*d*n^2)*log(e*x + d)^2 - 2*(b^2*e*n - a*b*e)*x*log(c) + (2*b^2*e*n^2 - 2*a*b*e*n + a^2*e)*x - 2*(b^2*d*n^2 - a*b*d*n + (b^2*e*n^2 - a*b*e*n)*x - (b^2*e*n*x + b^2*d*n)*log(c))*log(e*x + d))/e","B",0
20,1,40,0,0.859111," ","integrate(a+b*log(c*(e*x+d)^n),x, algorithm=""fricas"")","\frac{b e x \log\left(c\right) - {\left(b e n - a e\right)} x + {\left(b e n x + b d n\right)} \log\left(e x + d\right)}{e}"," ",0,"(b*e*x*log(c) - (b*e*n - a*e)*x + (b*e*n*x + b*d*n)*log(e*x + d))/e","A",0
21,1,46,0,0.939398," ","integrate(1/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","\frac{e^{\left(-\frac{b \log\left(c\right) + a}{b n}\right)} \operatorname{log\_integral}\left({\left(e x + d\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)}\right)}{b e n}"," ",0,"e^(-(b*log(c) + a)/(b*n))*log_integral((e*x + d)*e^((b*log(c) + a)/(b*n)))/(b*e*n)","A",0
22,1,117,0,0.998512," ","integrate(1/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","-\frac{{\left({\left(b e n x + b d n\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)} - {\left(b n \log\left(e x + d\right) + b \log\left(c\right) + a\right)} \operatorname{log\_integral}\left({\left(e x + d\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)}\right)\right)} e^{\left(-\frac{b \log\left(c\right) + a}{b n}\right)}}{b^{3} e n^{3} \log\left(e x + d\right) + b^{3} e n^{2} \log\left(c\right) + a b^{2} e n^{2}}"," ",0,"-((b*e*n*x + b*d*n)*e^((b*log(c) + a)/(b*n)) - (b*n*log(e*x + d) + b*log(c) + a)*log_integral((e*x + d)*e^((b*log(c) + a)/(b*n))))*e^(-(b*log(c) + a)/(b*n))/(b^3*e*n^3*log(e*x + d) + b^3*e*n^2*log(c) + a*b^2*e*n^2)","A",0
23,1,263,0,0.806102," ","integrate(1/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""fricas"")","-\frac{{\left({\left(b^{2} d n^{2} + a b d n + {\left(b^{2} e n^{2} + a b e n\right)} x + {\left(b^{2} e n^{2} x + b^{2} d n^{2}\right)} \log\left(e x + d\right) + {\left(b^{2} e n x + b^{2} d n\right)} \log\left(c\right)\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)} - {\left(b^{2} n^{2} \log\left(e x + d\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + a^{2} + 2 \, {\left(b^{2} n \log\left(c\right) + a b n\right)} \log\left(e x + d\right)\right)} \operatorname{log\_integral}\left({\left(e x + d\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)}\right)\right)} e^{\left(-\frac{b \log\left(c\right) + a}{b n}\right)}}{2 \, {\left(b^{5} e n^{5} \log\left(e x + d\right)^{2} + b^{5} e n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} e n^{3} \log\left(c\right) + a^{2} b^{3} e n^{3} + 2 \, {\left(b^{5} e n^{4} \log\left(c\right) + a b^{4} e n^{4}\right)} \log\left(e x + d\right)\right)}}"," ",0,"-1/2*((b^2*d*n^2 + a*b*d*n + (b^2*e*n^2 + a*b*e*n)*x + (b^2*e*n^2*x + b^2*d*n^2)*log(e*x + d) + (b^2*e*n*x + b^2*d*n)*log(c))*e^((b*log(c) + a)/(b*n)) - (b^2*n^2*log(e*x + d)^2 + b^2*log(c)^2 + 2*a*b*log(c) + a^2 + 2*(b^2*n*log(c) + a*b*n)*log(e*x + d))*log_integral((e*x + d)*e^((b*log(c) + a)/(b*n))))*e^(-(b*log(c) + a)/(b*n))/(b^5*e*n^5*log(e*x + d)^2 + b^5*e*n^3*log(c)^2 + 2*a*b^4*e*n^3*log(c) + a^2*b^3*e*n^3 + 2*(b^5*e*n^4*log(c) + a*b^4*e*n^4)*log(e*x + d))","B",0
24,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(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
25,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(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
26,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(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
27,-2,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(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
28,-2,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(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
29,-2,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(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
30,-2,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(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
31,1,59,0,0.991302," ","integrate((a+b*log(c*(e*x+d)^n))^p,x, algorithm=""fricas"")","\frac{e^{\left(-\frac{b n p \log\left(-\frac{1}{b n}\right) + b \log\left(c\right) + a}{b n}\right)} \Gamma\left(p + 1, -\frac{b n \log\left(e x + d\right) + b \log\left(c\right) + a}{b n}\right)}{e}"," ",0,"e^(-(b*n*p*log(-1/(b*n)) + b*log(c) + a)/(b*n))*gamma(p + 1, -(b*n*log(e*x + d) + b*log(c) + a)/(b*n))/e","A",0
32,0,0,0,1.245905," ","integrate((a+b*log(c*(e*x+d)^(1/2)))^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b \log\left(\sqrt{e x + d} c\right) + a\right)}^{p}, x\right)"," ",0,"integral((b*log(sqrt(e*x + d)*c) + a)^p, x)","F",0
33,1,22,0,0.673213," ","integrate((f*x+e)^(-1+p)/log(d*(f*x+e)^p),x, algorithm=""fricas"")","\frac{{\rm Ei}\left(p \log\left(f x + e\right) + \log\left(d\right)\right)}{d f p}"," ",0,"Ei(p*log(f*x + e) + log(d))/(d*f*p)","A",0
34,1,27,0,0.955125," ","integrate((f*g*x+e*g)^(-1+p)/log(d*(f*x+e)^p),x, algorithm=""fricas"")","\frac{g^{p - 1} {\rm Ei}\left(p \log\left(f x + e\right) + \log\left(d\right)\right)}{d f p}"," ",0,"g^(p - 1)*Ei(p*log(f*x + e) + log(d))/(d*f*p)","A",0
35,1,471,0,0.677091," ","integrate((g*x+f)^4*(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","-\frac{12 \, {\left(b e^{5} g^{4} n - 5 \, a e^{5} g^{4}\right)} x^{5} - 15 \, {\left(20 \, a e^{5} f g^{3} - {\left(5 \, b e^{5} f g^{3} - b d e^{4} g^{4}\right)} n\right)} x^{4} - 20 \, {\left(30 \, a e^{5} f^{2} g^{2} - {\left(10 \, b e^{5} f^{2} g^{2} - 5 \, b d e^{4} f g^{3} + b d^{2} e^{3} g^{4}\right)} n\right)} x^{3} - 30 \, {\left(20 \, a e^{5} f^{3} g - {\left(10 \, b e^{5} f^{3} g - 10 \, b d e^{4} f^{2} g^{2} + 5 \, b d^{2} e^{3} f g^{3} - b d^{3} e^{2} g^{4}\right)} n\right)} x^{2} - 60 \, {\left(5 \, a e^{5} f^{4} - {\left(5 \, b e^{5} f^{4} - 10 \, b d e^{4} f^{3} g + 10 \, b d^{2} e^{3} f^{2} g^{2} - 5 \, b d^{3} e^{2} f g^{3} + b d^{4} e g^{4}\right)} n\right)} x - 60 \, {\left(b e^{5} g^{4} n x^{5} + 5 \, b e^{5} f g^{3} n x^{4} + 10 \, b e^{5} f^{2} g^{2} n x^{3} + 10 \, b e^{5} f^{3} g n x^{2} + 5 \, b e^{5} f^{4} n x + {\left(5 \, b d e^{4} f^{4} - 10 \, b d^{2} e^{3} f^{3} g + 10 \, b d^{3} e^{2} f^{2} g^{2} - 5 \, b d^{4} e f g^{3} + b d^{5} g^{4}\right)} n\right)} \log\left(e x + d\right) - 60 \, {\left(b e^{5} g^{4} x^{5} + 5 \, b e^{5} f g^{3} x^{4} + 10 \, b e^{5} f^{2} g^{2} x^{3} + 10 \, b e^{5} f^{3} g x^{2} + 5 \, b e^{5} f^{4} x\right)} \log\left(c\right)}{300 \, e^{5}}"," ",0,"-1/300*(12*(b*e^5*g^4*n - 5*a*e^5*g^4)*x^5 - 15*(20*a*e^5*f*g^3 - (5*b*e^5*f*g^3 - b*d*e^4*g^4)*n)*x^4 - 20*(30*a*e^5*f^2*g^2 - (10*b*e^5*f^2*g^2 - 5*b*d*e^4*f*g^3 + b*d^2*e^3*g^4)*n)*x^3 - 30*(20*a*e^5*f^3*g - (10*b*e^5*f^3*g - 10*b*d*e^4*f^2*g^2 + 5*b*d^2*e^3*f*g^3 - b*d^3*e^2*g^4)*n)*x^2 - 60*(5*a*e^5*f^4 - (5*b*e^5*f^4 - 10*b*d*e^4*f^3*g + 10*b*d^2*e^3*f^2*g^2 - 5*b*d^3*e^2*f*g^3 + b*d^4*e*g^4)*n)*x - 60*(b*e^5*g^4*n*x^5 + 5*b*e^5*f*g^3*n*x^4 + 10*b*e^5*f^2*g^2*n*x^3 + 10*b*e^5*f^3*g*n*x^2 + 5*b*e^5*f^4*n*x + (5*b*d*e^4*f^4 - 10*b*d^2*e^3*f^3*g + 10*b*d^3*e^2*f^2*g^2 - 5*b*d^4*e*f*g^3 + b*d^5*g^4)*n)*log(e*x + d) - 60*(b*e^5*g^4*x^5 + 5*b*e^5*f*g^3*x^4 + 10*b*e^5*f^2*g^2*x^3 + 10*b*e^5*f^3*g*x^2 + 5*b*e^5*f^4*x)*log(c))/e^5","B",0
36,1,340,0,1.018078," ","integrate((g*x+f)^3*(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","-\frac{3 \, {\left(b e^{4} g^{3} n - 4 \, a e^{4} g^{3}\right)} x^{4} - 4 \, {\left(12 \, a e^{4} f g^{2} - {\left(4 \, b e^{4} f g^{2} - b d e^{3} g^{3}\right)} n\right)} x^{3} - 6 \, {\left(12 \, a e^{4} f^{2} g - {\left(6 \, b e^{4} f^{2} g - 4 \, b d e^{3} f g^{2} + b d^{2} e^{2} g^{3}\right)} n\right)} x^{2} - 12 \, {\left(4 \, a e^{4} f^{3} - {\left(4 \, b e^{4} f^{3} - 6 \, b d e^{3} f^{2} g + 4 \, b d^{2} e^{2} f g^{2} - b d^{3} e g^{3}\right)} n\right)} x - 12 \, {\left(b e^{4} g^{3} n x^{4} + 4 \, b e^{4} f g^{2} n x^{3} + 6 \, b e^{4} f^{2} g n x^{2} + 4 \, b e^{4} f^{3} n x + {\left(4 \, b d e^{3} f^{3} - 6 \, b d^{2} e^{2} f^{2} g + 4 \, b d^{3} e f g^{2} - b d^{4} g^{3}\right)} n\right)} \log\left(e x + d\right) - 12 \, {\left(b e^{4} g^{3} x^{4} + 4 \, b e^{4} f g^{2} x^{3} + 6 \, b e^{4} f^{2} g x^{2} + 4 \, b e^{4} f^{3} x\right)} \log\left(c\right)}{48 \, e^{4}}"," ",0,"-1/48*(3*(b*e^4*g^3*n - 4*a*e^4*g^3)*x^4 - 4*(12*a*e^4*f*g^2 - (4*b*e^4*f*g^2 - b*d*e^3*g^3)*n)*x^3 - 6*(12*a*e^4*f^2*g - (6*b*e^4*f^2*g - 4*b*d*e^3*f*g^2 + b*d^2*e^2*g^3)*n)*x^2 - 12*(4*a*e^4*f^3 - (4*b*e^4*f^3 - 6*b*d*e^3*f^2*g + 4*b*d^2*e^2*f*g^2 - b*d^3*e*g^3)*n)*x - 12*(b*e^4*g^3*n*x^4 + 4*b*e^4*f*g^2*n*x^3 + 6*b*e^4*f^2*g*n*x^2 + 4*b*e^4*f^3*n*x + (4*b*d*e^3*f^3 - 6*b*d^2*e^2*f^2*g + 4*b*d^3*e*f*g^2 - b*d^4*g^3)*n)*log(e*x + d) - 12*(b*e^4*g^3*x^4 + 4*b*e^4*f*g^2*x^3 + 6*b*e^4*f^2*g*x^2 + 4*b*e^4*f^3*x)*log(c))/e^4","B",0
37,1,221,0,1.176538," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","-\frac{2 \, {\left(b e^{3} g^{2} n - 3 \, a e^{3} g^{2}\right)} x^{3} - 3 \, {\left(6 \, a e^{3} f g - {\left(3 \, b e^{3} f g - b d e^{2} g^{2}\right)} n\right)} x^{2} - 6 \, {\left(3 \, a e^{3} f^{2} - {\left(3 \, b e^{3} f^{2} - 3 \, b d e^{2} f g + b d^{2} e g^{2}\right)} n\right)} x - 6 \, {\left(b e^{3} g^{2} n x^{3} + 3 \, b e^{3} f g n x^{2} + 3 \, b e^{3} f^{2} n x + {\left(3 \, b d e^{2} f^{2} - 3 \, b d^{2} e f g + b d^{3} g^{2}\right)} n\right)} \log\left(e x + d\right) - 6 \, {\left(b e^{3} g^{2} x^{3} + 3 \, b e^{3} f g x^{2} + 3 \, b e^{3} f^{2} x\right)} \log\left(c\right)}{18 \, e^{3}}"," ",0,"-1/18*(2*(b*e^3*g^2*n - 3*a*e^3*g^2)*x^3 - 3*(6*a*e^3*f*g - (3*b*e^3*f*g - b*d*e^2*g^2)*n)*x^2 - 6*(3*a*e^3*f^2 - (3*b*e^3*f^2 - 3*b*d*e^2*f*g + b*d^2*e*g^2)*n)*x - 6*(b*e^3*g^2*n*x^3 + 3*b*e^3*f*g*n*x^2 + 3*b*e^3*f^2*n*x + (3*b*d*e^2*f^2 - 3*b*d^2*e*f*g + b*d^3*g^2)*n)*log(e*x + d) - 6*(b*e^3*g^2*x^3 + 3*b*e^3*f*g*x^2 + 3*b*e^3*f^2*x)*log(c))/e^3","B",0
38,1,119,0,0.921211," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","-\frac{{\left(b e^{2} g n - 2 \, a e^{2} g\right)} x^{2} - 2 \, {\left(2 \, a e^{2} f - {\left(2 \, b e^{2} f - b d e g\right)} n\right)} x - 2 \, {\left(b e^{2} g n x^{2} + 2 \, b e^{2} f n x + {\left(2 \, b d e f - b d^{2} g\right)} n\right)} \log\left(e x + d\right) - 2 \, {\left(b e^{2} g x^{2} + 2 \, b e^{2} f x\right)} \log\left(c\right)}{4 \, e^{2}}"," ",0,"-1/4*((b*e^2*g*n - 2*a*e^2*g)*x^2 - 2*(2*a*e^2*f - (2*b*e^2*f - b*d*e*g)*n)*x - 2*(b*e^2*g*n*x^2 + 2*b*e^2*f*n*x + (2*b*d*e*f - b*d^2*g)*n)*log(e*x + d) - 2*(b*e^2*g*x^2 + 2*b*e^2*f*x)*log(c))/e^2","A",0
39,1,40,0,1.140398," ","integrate(a+b*log(c*(e*x+d)^n),x, algorithm=""fricas"")","\frac{b e x \log\left(c\right) - {\left(b e n - a e\right)} x + {\left(b e n x + b d n\right)} \log\left(e x + d\right)}{e}"," ",0,"(b*e*x*log(c) - (b*e*n - a*e)*x + (b*e*n*x + b*d*n)*log(e*x + d))/e","A",0
40,0,0,0,0.806301," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g x + f}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g*x + f), x)","F",0
41,1,95,0,0.999627," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^2,x, algorithm=""fricas"")","-\frac{a e f - a d g - {\left(b e g n x + b d g n\right)} \log\left(e x + d\right) + {\left(b e g n x + b e f n\right)} \log\left(g x + f\right) + {\left(b e f - b d g\right)} \log\left(c\right)}{e f^{2} g - d f g^{2} + {\left(e f g^{2} - d g^{3}\right)} x}"," ",0,"-(a*e*f - a*d*g - (b*e*g*n*x + b*d*g*n)*log(e*x + d) + (b*e*g*n*x + b*e*f*n)*log(g*x + f) + (b*e*f - b*d*g)*log(c))/(e*f^2*g - d*f*g^2 + (e*f*g^2 - d*g^3)*x)","A",0
42,1,274,0,1.023375," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^3,x, algorithm=""fricas"")","-\frac{a e^{2} f^{2} - 2 \, a d e f g + a d^{2} g^{2} - {\left(b e^{2} f g - b d e g^{2}\right)} n x - {\left(b e^{2} f^{2} - b d e f g\right)} n - {\left(b e^{2} g^{2} n x^{2} + 2 \, b e^{2} f g n x + {\left(2 \, b d e f g - b d^{2} g^{2}\right)} n\right)} \log\left(e x + d\right) + {\left(b e^{2} g^{2} n x^{2} + 2 \, b e^{2} f g n x + b e^{2} f^{2} n\right)} \log\left(g x + f\right) + {\left(b e^{2} f^{2} - 2 \, b d e f g + b d^{2} g^{2}\right)} \log\left(c\right)}{2 \, {\left(e^{2} f^{4} g - 2 \, d e f^{3} g^{2} + d^{2} f^{2} g^{3} + {\left(e^{2} f^{2} g^{3} - 2 \, d e f g^{4} + d^{2} g^{5}\right)} x^{2} + 2 \, {\left(e^{2} f^{3} g^{2} - 2 \, d e f^{2} g^{3} + d^{2} f g^{4}\right)} x\right)}}"," ",0,"-1/2*(a*e^2*f^2 - 2*a*d*e*f*g + a*d^2*g^2 - (b*e^2*f*g - b*d*e*g^2)*n*x - (b*e^2*f^2 - b*d*e*f*g)*n - (b*e^2*g^2*n*x^2 + 2*b*e^2*f*g*n*x + (2*b*d*e*f*g - b*d^2*g^2)*n)*log(e*x + d) + (b*e^2*g^2*n*x^2 + 2*b*e^2*f*g*n*x + b*e^2*f^2*n)*log(g*x + f) + (b*e^2*f^2 - 2*b*d*e*f*g + b*d^2*g^2)*log(c))/(e^2*f^4*g - 2*d*e*f^3*g^2 + d^2*f^2*g^3 + (e^2*f^2*g^3 - 2*d*e*f*g^4 + d^2*g^5)*x^2 + 2*(e^2*f^3*g^2 - 2*d*e*f^2*g^3 + d^2*f*g^4)*x)","B",0
43,1,507,0,1.049315," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^4,x, algorithm=""fricas"")","-\frac{2 \, a e^{3} f^{3} - 6 \, a d e^{2} f^{2} g + 6 \, a d^{2} e f g^{2} - 2 \, a d^{3} g^{3} - 2 \, {\left(b e^{3} f g^{2} - b d e^{2} g^{3}\right)} n x^{2} - {\left(5 \, b e^{3} f^{2} g - 6 \, b d e^{2} f g^{2} + b d^{2} e g^{3}\right)} n x - {\left(3 \, b e^{3} f^{3} - 4 \, b d e^{2} f^{2} g + b d^{2} e f g^{2}\right)} n - 2 \, {\left(b e^{3} g^{3} n x^{3} + 3 \, b e^{3} f g^{2} n x^{2} + 3 \, b e^{3} f^{2} g n x + {\left(3 \, b d e^{2} f^{2} g - 3 \, b d^{2} e f g^{2} + b d^{3} g^{3}\right)} n\right)} \log\left(e x + d\right) + 2 \, {\left(b e^{3} g^{3} n x^{3} + 3 \, b e^{3} f g^{2} n x^{2} + 3 \, b e^{3} f^{2} g n x + b e^{3} f^{3} n\right)} \log\left(g x + f\right) + 2 \, {\left(b e^{3} f^{3} - 3 \, b d e^{2} f^{2} g + 3 \, b d^{2} e f g^{2} - b d^{3} g^{3}\right)} \log\left(c\right)}{6 \, {\left(e^{3} f^{6} g - 3 \, d e^{2} f^{5} g^{2} + 3 \, d^{2} e f^{4} g^{3} - d^{3} f^{3} g^{4} + {\left(e^{3} f^{3} g^{4} - 3 \, d e^{2} f^{2} g^{5} + 3 \, d^{2} e f g^{6} - d^{3} g^{7}\right)} x^{3} + 3 \, {\left(e^{3} f^{4} g^{3} - 3 \, d e^{2} f^{3} g^{4} + 3 \, d^{2} e f^{2} g^{5} - d^{3} f g^{6}\right)} x^{2} + 3 \, {\left(e^{3} f^{5} g^{2} - 3 \, d e^{2} f^{4} g^{3} + 3 \, d^{2} e f^{3} g^{4} - d^{3} f^{2} g^{5}\right)} x\right)}}"," ",0,"-1/6*(2*a*e^3*f^3 - 6*a*d*e^2*f^2*g + 6*a*d^2*e*f*g^2 - 2*a*d^3*g^3 - 2*(b*e^3*f*g^2 - b*d*e^2*g^3)*n*x^2 - (5*b*e^3*f^2*g - 6*b*d*e^2*f*g^2 + b*d^2*e*g^3)*n*x - (3*b*e^3*f^3 - 4*b*d*e^2*f^2*g + b*d^2*e*f*g^2)*n - 2*(b*e^3*g^3*n*x^3 + 3*b*e^3*f*g^2*n*x^2 + 3*b*e^3*f^2*g*n*x + (3*b*d*e^2*f^2*g - 3*b*d^2*e*f*g^2 + b*d^3*g^3)*n)*log(e*x + d) + 2*(b*e^3*g^3*n*x^3 + 3*b*e^3*f*g^2*n*x^2 + 3*b*e^3*f^2*g*n*x + b*e^3*f^3*n)*log(g*x + f) + 2*(b*e^3*f^3 - 3*b*d*e^2*f^2*g + 3*b*d^2*e*f*g^2 - b*d^3*g^3)*log(c))/(e^3*f^6*g - 3*d*e^2*f^5*g^2 + 3*d^2*e*f^4*g^3 - d^3*f^3*g^4 + (e^3*f^3*g^4 - 3*d*e^2*f^2*g^5 + 3*d^2*e*f*g^6 - d^3*g^7)*x^3 + 3*(e^3*f^4*g^3 - 3*d*e^2*f^3*g^4 + 3*d^2*e*f^2*g^5 - d^3*f*g^6)*x^2 + 3*(e^3*f^5*g^2 - 3*d*e^2*f^4*g^3 + 3*d^2*e*f^3*g^4 - d^3*f^2*g^5)*x)","B",0
44,1,1190,0,0.954163," ","integrate((g*x+f)^3*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","\frac{9 \, {\left(b^{2} e^{4} g^{3} n^{2} - 4 \, a b e^{4} g^{3} n + 8 \, a^{2} e^{4} g^{3}\right)} x^{4} + 4 \, {\left(72 \, a^{2} e^{4} f g^{2} + {\left(16 \, b^{2} e^{4} f g^{2} - 7 \, b^{2} d e^{3} g^{3}\right)} n^{2} - 12 \, {\left(4 \, a b e^{4} f g^{2} - a b d e^{3} g^{3}\right)} n\right)} x^{3} + 6 \, {\left(72 \, a^{2} e^{4} f^{2} g + {\left(36 \, b^{2} e^{4} f^{2} g - 40 \, b^{2} d e^{3} f g^{2} + 13 \, b^{2} d^{2} e^{2} g^{3}\right)} n^{2} - 12 \, {\left(6 \, a b e^{4} f^{2} g - 4 \, a b d e^{3} f g^{2} + a b d^{2} e^{2} g^{3}\right)} n\right)} x^{2} + 72 \, {\left(b^{2} e^{4} g^{3} n^{2} x^{4} + 4 \, b^{2} e^{4} f g^{2} n^{2} x^{3} + 6 \, b^{2} e^{4} f^{2} g n^{2} x^{2} + 4 \, b^{2} e^{4} f^{3} n^{2} x + {\left(4 \, b^{2} d e^{3} f^{3} - 6 \, b^{2} d^{2} e^{2} f^{2} g + 4 \, b^{2} d^{3} e f g^{2} - b^{2} d^{4} g^{3}\right)} n^{2}\right)} \log\left(e x + d\right)^{2} + 72 \, {\left(b^{2} e^{4} g^{3} x^{4} + 4 \, b^{2} e^{4} f g^{2} x^{3} + 6 \, b^{2} e^{4} f^{2} g x^{2} + 4 \, b^{2} e^{4} f^{3} x\right)} \log\left(c\right)^{2} + 12 \, {\left(24 \, a^{2} e^{4} f^{3} + {\left(48 \, b^{2} e^{4} f^{3} - 108 \, b^{2} d e^{3} f^{2} g + 88 \, b^{2} d^{2} e^{2} f g^{2} - 25 \, b^{2} d^{3} e g^{3}\right)} n^{2} - 12 \, {\left(4 \, a b e^{4} f^{3} - 6 \, a b d e^{3} f^{2} g + 4 \, a b d^{2} e^{2} f g^{2} - a b d^{3} e g^{3}\right)} n\right)} x - 12 \, {\left(3 \, {\left(b^{2} e^{4} g^{3} n^{2} - 4 \, a b e^{4} g^{3} n\right)} x^{4} - 4 \, {\left(12 \, a b e^{4} f g^{2} n - {\left(4 \, b^{2} e^{4} f g^{2} - b^{2} d e^{3} g^{3}\right)} n^{2}\right)} x^{3} + {\left(48 \, b^{2} d e^{3} f^{3} - 108 \, b^{2} d^{2} e^{2} f^{2} g + 88 \, b^{2} d^{3} e f g^{2} - 25 \, b^{2} d^{4} g^{3}\right)} n^{2} - 6 \, {\left(12 \, a b e^{4} f^{2} g n - {\left(6 \, b^{2} e^{4} f^{2} g - 4 \, b^{2} d e^{3} f g^{2} + b^{2} d^{2} e^{2} g^{3}\right)} n^{2}\right)} x^{2} - 12 \, {\left(4 \, a b d e^{3} f^{3} - 6 \, a b d^{2} e^{2} f^{2} g + 4 \, a b d^{3} e f g^{2} - a b d^{4} g^{3}\right)} n - 12 \, {\left(4 \, a b e^{4} f^{3} n - {\left(4 \, b^{2} e^{4} f^{3} - 6 \, b^{2} d e^{3} f^{2} g + 4 \, b^{2} d^{2} e^{2} f g^{2} - b^{2} d^{3} e g^{3}\right)} n^{2}\right)} x - 12 \, {\left(b^{2} e^{4} g^{3} n x^{4} + 4 \, b^{2} e^{4} f g^{2} n x^{3} + 6 \, b^{2} e^{4} f^{2} g n x^{2} + 4 \, b^{2} e^{4} f^{3} n x + {\left(4 \, b^{2} d e^{3} f^{3} - 6 \, b^{2} d^{2} e^{2} f^{2} g + 4 \, b^{2} d^{3} e f g^{2} - b^{2} d^{4} g^{3}\right)} n\right)} \log\left(c\right)\right)} \log\left(e x + d\right) - 12 \, {\left(3 \, {\left(b^{2} e^{4} g^{3} n - 4 \, a b e^{4} g^{3}\right)} x^{4} - 4 \, {\left(12 \, a b e^{4} f g^{2} - {\left(4 \, b^{2} e^{4} f g^{2} - b^{2} d e^{3} g^{3}\right)} n\right)} x^{3} - 6 \, {\left(12 \, a b e^{4} f^{2} g - {\left(6 \, b^{2} e^{4} f^{2} g - 4 \, b^{2} d e^{3} f g^{2} + b^{2} d^{2} e^{2} g^{3}\right)} n\right)} x^{2} - 12 \, {\left(4 \, a b e^{4} f^{3} - {\left(4 \, b^{2} e^{4} f^{3} - 6 \, b^{2} d e^{3} f^{2} g + 4 \, b^{2} d^{2} e^{2} f g^{2} - b^{2} d^{3} e g^{3}\right)} n\right)} x\right)} \log\left(c\right)}{288 \, e^{4}}"," ",0,"1/288*(9*(b^2*e^4*g^3*n^2 - 4*a*b*e^4*g^3*n + 8*a^2*e^4*g^3)*x^4 + 4*(72*a^2*e^4*f*g^2 + (16*b^2*e^4*f*g^2 - 7*b^2*d*e^3*g^3)*n^2 - 12*(4*a*b*e^4*f*g^2 - a*b*d*e^3*g^3)*n)*x^3 + 6*(72*a^2*e^4*f^2*g + (36*b^2*e^4*f^2*g - 40*b^2*d*e^3*f*g^2 + 13*b^2*d^2*e^2*g^3)*n^2 - 12*(6*a*b*e^4*f^2*g - 4*a*b*d*e^3*f*g^2 + a*b*d^2*e^2*g^3)*n)*x^2 + 72*(b^2*e^4*g^3*n^2*x^4 + 4*b^2*e^4*f*g^2*n^2*x^3 + 6*b^2*e^4*f^2*g*n^2*x^2 + 4*b^2*e^4*f^3*n^2*x + (4*b^2*d*e^3*f^3 - 6*b^2*d^2*e^2*f^2*g + 4*b^2*d^3*e*f*g^2 - b^2*d^4*g^3)*n^2)*log(e*x + d)^2 + 72*(b^2*e^4*g^3*x^4 + 4*b^2*e^4*f*g^2*x^3 + 6*b^2*e^4*f^2*g*x^2 + 4*b^2*e^4*f^3*x)*log(c)^2 + 12*(24*a^2*e^4*f^3 + (48*b^2*e^4*f^3 - 108*b^2*d*e^3*f^2*g + 88*b^2*d^2*e^2*f*g^2 - 25*b^2*d^3*e*g^3)*n^2 - 12*(4*a*b*e^4*f^3 - 6*a*b*d*e^3*f^2*g + 4*a*b*d^2*e^2*f*g^2 - a*b*d^3*e*g^3)*n)*x - 12*(3*(b^2*e^4*g^3*n^2 - 4*a*b*e^4*g^3*n)*x^4 - 4*(12*a*b*e^4*f*g^2*n - (4*b^2*e^4*f*g^2 - b^2*d*e^3*g^3)*n^2)*x^3 + (48*b^2*d*e^3*f^3 - 108*b^2*d^2*e^2*f^2*g + 88*b^2*d^3*e*f*g^2 - 25*b^2*d^4*g^3)*n^2 - 6*(12*a*b*e^4*f^2*g*n - (6*b^2*e^4*f^2*g - 4*b^2*d*e^3*f*g^2 + b^2*d^2*e^2*g^3)*n^2)*x^2 - 12*(4*a*b*d*e^3*f^3 - 6*a*b*d^2*e^2*f^2*g + 4*a*b*d^3*e*f*g^2 - a*b*d^4*g^3)*n - 12*(4*a*b*e^4*f^3*n - (4*b^2*e^4*f^3 - 6*b^2*d*e^3*f^2*g + 4*b^2*d^2*e^2*f*g^2 - b^2*d^3*e*g^3)*n^2)*x - 12*(b^2*e^4*g^3*n*x^4 + 4*b^2*e^4*f*g^2*n*x^3 + 6*b^2*e^4*f^2*g*n*x^2 + 4*b^2*e^4*f^3*n*x + (4*b^2*d*e^3*f^3 - 6*b^2*d^2*e^2*f^2*g + 4*b^2*d^3*e*f*g^2 - b^2*d^4*g^3)*n)*log(c))*log(e*x + d) - 12*(3*(b^2*e^4*g^3*n - 4*a*b*e^4*g^3)*x^4 - 4*(12*a*b*e^4*f*g^2 - (4*b^2*e^4*f*g^2 - b^2*d*e^3*g^3)*n)*x^3 - 6*(12*a*b*e^4*f^2*g - (6*b^2*e^4*f^2*g - 4*b^2*d*e^3*f*g^2 + b^2*d^2*e^2*g^3)*n)*x^2 - 12*(4*a*b*e^4*f^3 - (4*b^2*e^4*f^3 - 6*b^2*d*e^3*f^2*g + 4*b^2*d^2*e^2*f*g^2 - b^2*d^3*e*g^3)*n)*x)*log(c))/e^4","B",0
45,1,760,0,0.913383," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, b^{2} e^{3} g^{2} n^{2} - 6 \, a b e^{3} g^{2} n + 9 \, a^{2} e^{3} g^{2}\right)} x^{3} + 3 \, {\left(18 \, a^{2} e^{3} f g + {\left(9 \, b^{2} e^{3} f g - 5 \, b^{2} d e^{2} g^{2}\right)} n^{2} - 6 \, {\left(3 \, a b e^{3} f g - a b d e^{2} g^{2}\right)} n\right)} x^{2} + 18 \, {\left(b^{2} e^{3} g^{2} n^{2} x^{3} + 3 \, b^{2} e^{3} f g n^{2} x^{2} + 3 \, b^{2} e^{3} f^{2} n^{2} x + {\left(3 \, b^{2} d e^{2} f^{2} - 3 \, b^{2} d^{2} e f g + b^{2} d^{3} g^{2}\right)} n^{2}\right)} \log\left(e x + d\right)^{2} + 18 \, {\left(b^{2} e^{3} g^{2} x^{3} + 3 \, b^{2} e^{3} f g x^{2} + 3 \, b^{2} e^{3} f^{2} x\right)} \log\left(c\right)^{2} + 6 \, {\left(9 \, a^{2} e^{3} f^{2} + {\left(18 \, b^{2} e^{3} f^{2} - 27 \, b^{2} d e^{2} f g + 11 \, b^{2} d^{2} e g^{2}\right)} n^{2} - 6 \, {\left(3 \, a b e^{3} f^{2} - 3 \, a b d e^{2} f g + a b d^{2} e g^{2}\right)} n\right)} x - 6 \, {\left(2 \, {\left(b^{2} e^{3} g^{2} n^{2} - 3 \, a b e^{3} g^{2} n\right)} x^{3} + {\left(18 \, b^{2} d e^{2} f^{2} - 27 \, b^{2} d^{2} e f g + 11 \, b^{2} d^{3} g^{2}\right)} n^{2} - 3 \, {\left(6 \, a b e^{3} f g n - {\left(3 \, b^{2} e^{3} f g - b^{2} d e^{2} g^{2}\right)} n^{2}\right)} x^{2} - 6 \, {\left(3 \, a b d e^{2} f^{2} - 3 \, a b d^{2} e f g + a b d^{3} g^{2}\right)} n - 6 \, {\left(3 \, a b e^{3} f^{2} n - {\left(3 \, b^{2} e^{3} f^{2} - 3 \, b^{2} d e^{2} f g + b^{2} d^{2} e g^{2}\right)} n^{2}\right)} x - 6 \, {\left(b^{2} e^{3} g^{2} n x^{3} + 3 \, b^{2} e^{3} f g n x^{2} + 3 \, b^{2} e^{3} f^{2} n x + {\left(3 \, b^{2} d e^{2} f^{2} - 3 \, b^{2} d^{2} e f g + b^{2} d^{3} g^{2}\right)} n\right)} \log\left(c\right)\right)} \log\left(e x + d\right) - 6 \, {\left(2 \, {\left(b^{2} e^{3} g^{2} n - 3 \, a b e^{3} g^{2}\right)} x^{3} - 3 \, {\left(6 \, a b e^{3} f g - {\left(3 \, b^{2} e^{3} f g - b^{2} d e^{2} g^{2}\right)} n\right)} x^{2} - 6 \, {\left(3 \, a b e^{3} f^{2} - {\left(3 \, b^{2} e^{3} f^{2} - 3 \, b^{2} d e^{2} f g + b^{2} d^{2} e g^{2}\right)} n\right)} x\right)} \log\left(c\right)}{54 \, e^{3}}"," ",0,"1/54*(2*(2*b^2*e^3*g^2*n^2 - 6*a*b*e^3*g^2*n + 9*a^2*e^3*g^2)*x^3 + 3*(18*a^2*e^3*f*g + (9*b^2*e^3*f*g - 5*b^2*d*e^2*g^2)*n^2 - 6*(3*a*b*e^3*f*g - a*b*d*e^2*g^2)*n)*x^2 + 18*(b^2*e^3*g^2*n^2*x^3 + 3*b^2*e^3*f*g*n^2*x^2 + 3*b^2*e^3*f^2*n^2*x + (3*b^2*d*e^2*f^2 - 3*b^2*d^2*e*f*g + b^2*d^3*g^2)*n^2)*log(e*x + d)^2 + 18*(b^2*e^3*g^2*x^3 + 3*b^2*e^3*f*g*x^2 + 3*b^2*e^3*f^2*x)*log(c)^2 + 6*(9*a^2*e^3*f^2 + (18*b^2*e^3*f^2 - 27*b^2*d*e^2*f*g + 11*b^2*d^2*e*g^2)*n^2 - 6*(3*a*b*e^3*f^2 - 3*a*b*d*e^2*f*g + a*b*d^2*e*g^2)*n)*x - 6*(2*(b^2*e^3*g^2*n^2 - 3*a*b*e^3*g^2*n)*x^3 + (18*b^2*d*e^2*f^2 - 27*b^2*d^2*e*f*g + 11*b^2*d^3*g^2)*n^2 - 3*(6*a*b*e^3*f*g*n - (3*b^2*e^3*f*g - b^2*d*e^2*g^2)*n^2)*x^2 - 6*(3*a*b*d*e^2*f^2 - 3*a*b*d^2*e*f*g + a*b*d^3*g^2)*n - 6*(3*a*b*e^3*f^2*n - (3*b^2*e^3*f^2 - 3*b^2*d*e^2*f*g + b^2*d^2*e*g^2)*n^2)*x - 6*(b^2*e^3*g^2*n*x^3 + 3*b^2*e^3*f*g*n*x^2 + 3*b^2*e^3*f^2*n*x + (3*b^2*d*e^2*f^2 - 3*b^2*d^2*e*f*g + b^2*d^3*g^2)*n)*log(c))*log(e*x + d) - 6*(2*(b^2*e^3*g^2*n - 3*a*b*e^3*g^2)*x^3 - 3*(6*a*b*e^3*f*g - (3*b^2*e^3*f*g - b^2*d*e^2*g^2)*n)*x^2 - 6*(3*a*b*e^3*f^2 - (3*b^2*e^3*f^2 - 3*b^2*d*e^2*f*g + b^2*d^2*e*g^2)*n)*x)*log(c))/e^3","B",0
46,1,401,0,0.851377," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","\frac{{\left(b^{2} e^{2} g n^{2} - 2 \, a b e^{2} g n + 2 \, a^{2} e^{2} g\right)} x^{2} + 2 \, {\left(b^{2} e^{2} g n^{2} x^{2} + 2 \, b^{2} e^{2} f n^{2} x + {\left(2 \, b^{2} d e f - b^{2} d^{2} g\right)} n^{2}\right)} \log\left(e x + d\right)^{2} + 2 \, {\left(b^{2} e^{2} g x^{2} + 2 \, b^{2} e^{2} f x\right)} \log\left(c\right)^{2} + 2 \, {\left(2 \, a^{2} e^{2} f + {\left(4 \, b^{2} e^{2} f - 3 \, b^{2} d e g\right)} n^{2} - 2 \, {\left(2 \, a b e^{2} f - a b d e g\right)} n\right)} x - 2 \, {\left({\left(4 \, b^{2} d e f - 3 \, b^{2} d^{2} g\right)} n^{2} + {\left(b^{2} e^{2} g n^{2} - 2 \, a b e^{2} g n\right)} x^{2} - 2 \, {\left(2 \, a b d e f - a b d^{2} g\right)} n - 2 \, {\left(2 \, a b e^{2} f n - {\left(2 \, b^{2} e^{2} f - b^{2} d e g\right)} n^{2}\right)} x - 2 \, {\left(b^{2} e^{2} g n x^{2} + 2 \, b^{2} e^{2} f n x + {\left(2 \, b^{2} d e f - b^{2} d^{2} g\right)} n\right)} \log\left(c\right)\right)} \log\left(e x + d\right) - 2 \, {\left({\left(b^{2} e^{2} g n - 2 \, a b e^{2} g\right)} x^{2} - 2 \, {\left(2 \, a b e^{2} f - {\left(2 \, b^{2} e^{2} f - b^{2} d e g\right)} n\right)} x\right)} \log\left(c\right)}{4 \, e^{2}}"," ",0,"1/4*((b^2*e^2*g*n^2 - 2*a*b*e^2*g*n + 2*a^2*e^2*g)*x^2 + 2*(b^2*e^2*g*n^2*x^2 + 2*b^2*e^2*f*n^2*x + (2*b^2*d*e*f - b^2*d^2*g)*n^2)*log(e*x + d)^2 + 2*(b^2*e^2*g*x^2 + 2*b^2*e^2*f*x)*log(c)^2 + 2*(2*a^2*e^2*f + (4*b^2*e^2*f - 3*b^2*d*e*g)*n^2 - 2*(2*a*b*e^2*f - a*b*d*e*g)*n)*x - 2*((4*b^2*d*e*f - 3*b^2*d^2*g)*n^2 + (b^2*e^2*g*n^2 - 2*a*b*e^2*g*n)*x^2 - 2*(2*a*b*d*e*f - a*b*d^2*g)*n - 2*(2*a*b*e^2*f*n - (2*b^2*e^2*f - b^2*d*e*g)*n^2)*x - 2*(b^2*e^2*g*n*x^2 + 2*b^2*e^2*f*n*x + (2*b^2*d*e*f - b^2*d^2*g)*n)*log(c))*log(e*x + d) - 2*((b^2*e^2*g*n - 2*a*b*e^2*g)*x^2 - 2*(2*a*b*e^2*f - (2*b^2*e^2*f - b^2*d*e*g)*n)*x)*log(c))/e^2","B",0
47,1,140,0,0.915994," ","integrate((a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","\frac{b^{2} e x \log\left(c\right)^{2} + {\left(b^{2} e n^{2} x + b^{2} d n^{2}\right)} \log\left(e x + d\right)^{2} - 2 \, {\left(b^{2} e n - a b e\right)} x \log\left(c\right) + {\left(2 \, b^{2} e n^{2} - 2 \, a b e n + a^{2} e\right)} x - 2 \, {\left(b^{2} d n^{2} - a b d n + {\left(b^{2} e n^{2} - a b e n\right)} x - {\left(b^{2} e n x + b^{2} d n\right)} \log\left(c\right)\right)} \log\left(e x + d\right)}{e}"," ",0,"(b^2*e*x*log(c)^2 + (b^2*e*n^2*x + b^2*d*n^2)*log(e*x + d)^2 - 2*(b^2*e*n - a*b*e)*x*log(c) + (2*b^2*e*n^2 - 2*a*b*e*n + a^2*e)*x - 2*(b^2*d*n^2 - a*b*d*n + (b^2*e*n^2 - a*b*e*n)*x - (b^2*e*n*x + b^2*d*n)*log(c))*log(e*x + d))/e","B",0
48,0,0,0,0.548491," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g x + f}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g*x + f), x)","F",0
49,0,0,0,0.894039," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g^{2} x^{2} + 2 \, f g x + f^{2}}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
50,0,0,0,1.039329," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g^{3} x^{3} + 3 \, f g^{2} x^{2} + 3 \, f^{2} g x + f^{3}}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g^3*x^3 + 3*f*g^2*x^2 + 3*f^2*g*x + f^3), x)","F",0
51,0,0,0,0.975835," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g^{4} x^{4} + 4 \, f g^{3} x^{3} + 6 \, f^{2} g^{2} x^{2} + 4 \, f^{3} g x + f^{4}}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g^4*x^4 + 4*f*g^3*x^3 + 6*f^2*g^2*x^2 + 4*f^3*g*x + f^4), x)","F",0
52,1,2802,0,1.205624," ","integrate((g*x+f)^3*(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""fricas"")","-\frac{9 \, {\left(3 \, b^{3} e^{4} g^{3} n^{3} - 12 \, a b^{2} e^{4} g^{3} n^{2} + 24 \, a^{2} b e^{4} g^{3} n - 32 \, a^{3} e^{4} g^{3}\right)} x^{4} - 4 \, {\left(288 \, a^{3} e^{4} f g^{2} - {\left(64 \, b^{3} e^{4} f g^{2} - 37 \, b^{3} d e^{3} g^{3}\right)} n^{3} + 12 \, {\left(16 \, a b^{2} e^{4} f g^{2} - 7 \, a b^{2} d e^{3} g^{3}\right)} n^{2} - 72 \, {\left(4 \, a^{2} b e^{4} f g^{2} - a^{2} b d e^{3} g^{3}\right)} n\right)} x^{3} - 288 \, {\left(b^{3} e^{4} g^{3} n^{3} x^{4} + 4 \, b^{3} e^{4} f g^{2} n^{3} x^{3} + 6 \, b^{3} e^{4} f^{2} g n^{3} x^{2} + 4 \, b^{3} e^{4} f^{3} n^{3} x + {\left(4 \, b^{3} d e^{3} f^{3} - 6 \, b^{3} d^{2} e^{2} f^{2} g + 4 \, b^{3} d^{3} e f g^{2} - b^{3} d^{4} g^{3}\right)} n^{3}\right)} \log\left(e x + d\right)^{3} - 288 \, {\left(b^{3} e^{4} g^{3} x^{4} + 4 \, b^{3} e^{4} f g^{2} x^{3} + 6 \, b^{3} e^{4} f^{2} g x^{2} + 4 \, b^{3} e^{4} f^{3} x\right)} \log\left(c\right)^{3} - 6 \, {\left(288 \, a^{3} e^{4} f^{2} g - {\left(216 \, b^{3} e^{4} f^{2} g - 304 \, b^{3} d e^{3} f g^{2} + 115 \, b^{3} d^{2} e^{2} g^{3}\right)} n^{3} + 12 \, {\left(36 \, a b^{2} e^{4} f^{2} g - 40 \, a b^{2} d e^{3} f g^{2} + 13 \, a b^{2} d^{2} e^{2} g^{3}\right)} n^{2} - 72 \, {\left(6 \, a^{2} b e^{4} f^{2} g - 4 \, a^{2} b d e^{3} f g^{2} + a^{2} b d^{2} e^{2} g^{3}\right)} n\right)} x^{2} + 72 \, {\left(3 \, {\left(b^{3} e^{4} g^{3} n^{3} - 4 \, a b^{2} e^{4} g^{3} n^{2}\right)} x^{4} + {\left(48 \, b^{3} d e^{3} f^{3} - 108 \, b^{3} d^{2} e^{2} f^{2} g + 88 \, b^{3} d^{3} e f g^{2} - 25 \, b^{3} d^{4} g^{3}\right)} n^{3} - 4 \, {\left(12 \, a b^{2} e^{4} f g^{2} n^{2} - {\left(4 \, b^{3} e^{4} f g^{2} - b^{3} d e^{3} g^{3}\right)} n^{3}\right)} x^{3} - 12 \, {\left(4 \, a b^{2} d e^{3} f^{3} - 6 \, a b^{2} d^{2} e^{2} f^{2} g + 4 \, a b^{2} d^{3} e f g^{2} - a b^{2} d^{4} g^{3}\right)} n^{2} - 6 \, {\left(12 \, a b^{2} e^{4} f^{2} g n^{2} - {\left(6 \, b^{3} e^{4} f^{2} g - 4 \, b^{3} d e^{3} f g^{2} + b^{3} d^{2} e^{2} g^{3}\right)} n^{3}\right)} x^{2} - 12 \, {\left(4 \, a b^{2} e^{4} f^{3} n^{2} - {\left(4 \, b^{3} e^{4} f^{3} - 6 \, b^{3} d e^{3} f^{2} g + 4 \, b^{3} d^{2} e^{2} f g^{2} - b^{3} d^{3} e g^{3}\right)} n^{3}\right)} x - 12 \, {\left(b^{3} e^{4} g^{3} n^{2} x^{4} + 4 \, b^{3} e^{4} f g^{2} n^{2} x^{3} + 6 \, b^{3} e^{4} f^{2} g n^{2} x^{2} + 4 \, b^{3} e^{4} f^{3} n^{2} x + {\left(4 \, b^{3} d e^{3} f^{3} - 6 \, b^{3} d^{2} e^{2} f^{2} g + 4 \, b^{3} d^{3} e f g^{2} - b^{3} d^{4} g^{3}\right)} n^{2}\right)} \log\left(c\right)\right)} \log\left(e x + d\right)^{2} + 72 \, {\left(3 \, {\left(b^{3} e^{4} g^{3} n - 4 \, a b^{2} e^{4} g^{3}\right)} x^{4} - 4 \, {\left(12 \, a b^{2} e^{4} f g^{2} - {\left(4 \, b^{3} e^{4} f g^{2} - b^{3} d e^{3} g^{3}\right)} n\right)} x^{3} - 6 \, {\left(12 \, a b^{2} e^{4} f^{2} g - {\left(6 \, b^{3} e^{4} f^{2} g - 4 \, b^{3} d e^{3} f g^{2} + b^{3} d^{2} e^{2} g^{3}\right)} n\right)} x^{2} - 12 \, {\left(4 \, a b^{2} e^{4} f^{3} - {\left(4 \, b^{3} e^{4} f^{3} - 6 \, b^{3} d e^{3} f^{2} g + 4 \, b^{3} d^{2} e^{2} f g^{2} - b^{3} d^{3} e g^{3}\right)} n\right)} x\right)} \log\left(c\right)^{2} - 12 \, {\left(96 \, a^{3} e^{4} f^{3} - {\left(576 \, b^{3} e^{4} f^{3} - 1512 \, b^{3} d e^{3} f^{2} g + 1360 \, b^{3} d^{2} e^{2} f g^{2} - 415 \, b^{3} d^{3} e g^{3}\right)} n^{3} + 12 \, {\left(48 \, a b^{2} e^{4} f^{3} - 108 \, a b^{2} d e^{3} f^{2} g + 88 \, a b^{2} d^{2} e^{2} f g^{2} - 25 \, a b^{2} d^{3} e g^{3}\right)} n^{2} - 72 \, {\left(4 \, a^{2} b e^{4} f^{3} - 6 \, a^{2} b d e^{3} f^{2} g + 4 \, a^{2} b d^{2} e^{2} f g^{2} - a^{2} b d^{3} e g^{3}\right)} n\right)} x - 12 \, {\left(9 \, {\left(b^{3} e^{4} g^{3} n^{3} - 4 \, a b^{2} e^{4} g^{3} n^{2} + 8 \, a^{2} b e^{4} g^{3} n\right)} x^{4} + {\left(576 \, b^{3} d e^{3} f^{3} - 1512 \, b^{3} d^{2} e^{2} f^{2} g + 1360 \, b^{3} d^{3} e f g^{2} - 415 \, b^{3} d^{4} g^{3}\right)} n^{3} + 4 \, {\left(72 \, a^{2} b e^{4} f g^{2} n + {\left(16 \, b^{3} e^{4} f g^{2} - 7 \, b^{3} d e^{3} g^{3}\right)} n^{3} - 12 \, {\left(4 \, a b^{2} e^{4} f g^{2} - a b^{2} d e^{3} g^{3}\right)} n^{2}\right)} x^{3} - 12 \, {\left(48 \, a b^{2} d e^{3} f^{3} - 108 \, a b^{2} d^{2} e^{2} f^{2} g + 88 \, a b^{2} d^{3} e f g^{2} - 25 \, a b^{2} d^{4} g^{3}\right)} n^{2} + 6 \, {\left(72 \, a^{2} b e^{4} f^{2} g n + {\left(36 \, b^{3} e^{4} f^{2} g - 40 \, b^{3} d e^{3} f g^{2} + 13 \, b^{3} d^{2} e^{2} g^{3}\right)} n^{3} - 12 \, {\left(6 \, a b^{2} e^{4} f^{2} g - 4 \, a b^{2} d e^{3} f g^{2} + a b^{2} d^{2} e^{2} g^{3}\right)} n^{2}\right)} x^{2} + 72 \, {\left(b^{3} e^{4} g^{3} n x^{4} + 4 \, b^{3} e^{4} f g^{2} n x^{3} + 6 \, b^{3} e^{4} f^{2} g n x^{2} + 4 \, b^{3} e^{4} f^{3} n x + {\left(4 \, b^{3} d e^{3} f^{3} - 6 \, b^{3} d^{2} e^{2} f^{2} g + 4 \, b^{3} d^{3} e f g^{2} - b^{3} d^{4} g^{3}\right)} n\right)} \log\left(c\right)^{2} + 72 \, {\left(4 \, a^{2} b d e^{3} f^{3} - 6 \, a^{2} b d^{2} e^{2} f^{2} g + 4 \, a^{2} b d^{3} e f g^{2} - a^{2} b d^{4} g^{3}\right)} n + 12 \, {\left(24 \, a^{2} b e^{4} f^{3} n + {\left(48 \, b^{3} e^{4} f^{3} - 108 \, b^{3} d e^{3} f^{2} g + 88 \, b^{3} d^{2} e^{2} f g^{2} - 25 \, b^{3} d^{3} e g^{3}\right)} n^{3} - 12 \, {\left(4 \, a b^{2} e^{4} f^{3} - 6 \, a b^{2} d e^{3} f^{2} g + 4 \, a b^{2} d^{2} e^{2} f g^{2} - a b^{2} d^{3} e g^{3}\right)} n^{2}\right)} x - 12 \, {\left(3 \, {\left(b^{3} e^{4} g^{3} n^{2} - 4 \, a b^{2} e^{4} g^{3} n\right)} x^{4} - 4 \, {\left(12 \, a b^{2} e^{4} f g^{2} n - {\left(4 \, b^{3} e^{4} f g^{2} - b^{3} d e^{3} g^{3}\right)} n^{2}\right)} x^{3} + {\left(48 \, b^{3} d e^{3} f^{3} - 108 \, b^{3} d^{2} e^{2} f^{2} g + 88 \, b^{3} d^{3} e f g^{2} - 25 \, b^{3} d^{4} g^{3}\right)} n^{2} - 6 \, {\left(12 \, a b^{2} e^{4} f^{2} g n - {\left(6 \, b^{3} e^{4} f^{2} g - 4 \, b^{3} d e^{3} f g^{2} + b^{3} d^{2} e^{2} g^{3}\right)} n^{2}\right)} x^{2} - 12 \, {\left(4 \, a b^{2} d e^{3} f^{3} - 6 \, a b^{2} d^{2} e^{2} f^{2} g + 4 \, a b^{2} d^{3} e f g^{2} - a b^{2} d^{4} g^{3}\right)} n - 12 \, {\left(4 \, a b^{2} e^{4} f^{3} n - {\left(4 \, b^{3} e^{4} f^{3} - 6 \, b^{3} d e^{3} f^{2} g + 4 \, b^{3} d^{2} e^{2} f g^{2} - b^{3} d^{3} e g^{3}\right)} n^{2}\right)} x\right)} \log\left(c\right)\right)} \log\left(e x + d\right) - 12 \, {\left(9 \, {\left(b^{3} e^{4} g^{3} n^{2} - 4 \, a b^{2} e^{4} g^{3} n + 8 \, a^{2} b e^{4} g^{3}\right)} x^{4} + 4 \, {\left(72 \, a^{2} b e^{4} f g^{2} + {\left(16 \, b^{3} e^{4} f g^{2} - 7 \, b^{3} d e^{3} g^{3}\right)} n^{2} - 12 \, {\left(4 \, a b^{2} e^{4} f g^{2} - a b^{2} d e^{3} g^{3}\right)} n\right)} x^{3} + 6 \, {\left(72 \, a^{2} b e^{4} f^{2} g + {\left(36 \, b^{3} e^{4} f^{2} g - 40 \, b^{3} d e^{3} f g^{2} + 13 \, b^{3} d^{2} e^{2} g^{3}\right)} n^{2} - 12 \, {\left(6 \, a b^{2} e^{4} f^{2} g - 4 \, a b^{2} d e^{3} f g^{2} + a b^{2} d^{2} e^{2} g^{3}\right)} n\right)} x^{2} + 12 \, {\left(24 \, a^{2} b e^{4} f^{3} + {\left(48 \, b^{3} e^{4} f^{3} - 108 \, b^{3} d e^{3} f^{2} g + 88 \, b^{3} d^{2} e^{2} f g^{2} - 25 \, b^{3} d^{3} e g^{3}\right)} n^{2} - 12 \, {\left(4 \, a b^{2} e^{4} f^{3} - 6 \, a b^{2} d e^{3} f^{2} g + 4 \, a b^{2} d^{2} e^{2} f g^{2} - a b^{2} d^{3} e g^{3}\right)} n\right)} x\right)} \log\left(c\right)}{1152 \, e^{4}}"," ",0,"-1/1152*(9*(3*b^3*e^4*g^3*n^3 - 12*a*b^2*e^4*g^3*n^2 + 24*a^2*b*e^4*g^3*n - 32*a^3*e^4*g^3)*x^4 - 4*(288*a^3*e^4*f*g^2 - (64*b^3*e^4*f*g^2 - 37*b^3*d*e^3*g^3)*n^3 + 12*(16*a*b^2*e^4*f*g^2 - 7*a*b^2*d*e^3*g^3)*n^2 - 72*(4*a^2*b*e^4*f*g^2 - a^2*b*d*e^3*g^3)*n)*x^3 - 288*(b^3*e^4*g^3*n^3*x^4 + 4*b^3*e^4*f*g^2*n^3*x^3 + 6*b^3*e^4*f^2*g*n^3*x^2 + 4*b^3*e^4*f^3*n^3*x + (4*b^3*d*e^3*f^3 - 6*b^3*d^2*e^2*f^2*g + 4*b^3*d^3*e*f*g^2 - b^3*d^4*g^3)*n^3)*log(e*x + d)^3 - 288*(b^3*e^4*g^3*x^4 + 4*b^3*e^4*f*g^2*x^3 + 6*b^3*e^4*f^2*g*x^2 + 4*b^3*e^4*f^3*x)*log(c)^3 - 6*(288*a^3*e^4*f^2*g - (216*b^3*e^4*f^2*g - 304*b^3*d*e^3*f*g^2 + 115*b^3*d^2*e^2*g^3)*n^3 + 12*(36*a*b^2*e^4*f^2*g - 40*a*b^2*d*e^3*f*g^2 + 13*a*b^2*d^2*e^2*g^3)*n^2 - 72*(6*a^2*b*e^4*f^2*g - 4*a^2*b*d*e^3*f*g^2 + a^2*b*d^2*e^2*g^3)*n)*x^2 + 72*(3*(b^3*e^4*g^3*n^3 - 4*a*b^2*e^4*g^3*n^2)*x^4 + (48*b^3*d*e^3*f^3 - 108*b^3*d^2*e^2*f^2*g + 88*b^3*d^3*e*f*g^2 - 25*b^3*d^4*g^3)*n^3 - 4*(12*a*b^2*e^4*f*g^2*n^2 - (4*b^3*e^4*f*g^2 - b^3*d*e^3*g^3)*n^3)*x^3 - 12*(4*a*b^2*d*e^3*f^3 - 6*a*b^2*d^2*e^2*f^2*g + 4*a*b^2*d^3*e*f*g^2 - a*b^2*d^4*g^3)*n^2 - 6*(12*a*b^2*e^4*f^2*g*n^2 - (6*b^3*e^4*f^2*g - 4*b^3*d*e^3*f*g^2 + b^3*d^2*e^2*g^3)*n^3)*x^2 - 12*(4*a*b^2*e^4*f^3*n^2 - (4*b^3*e^4*f^3 - 6*b^3*d*e^3*f^2*g + 4*b^3*d^2*e^2*f*g^2 - b^3*d^3*e*g^3)*n^3)*x - 12*(b^3*e^4*g^3*n^2*x^4 + 4*b^3*e^4*f*g^2*n^2*x^3 + 6*b^3*e^4*f^2*g*n^2*x^2 + 4*b^3*e^4*f^3*n^2*x + (4*b^3*d*e^3*f^3 - 6*b^3*d^2*e^2*f^2*g + 4*b^3*d^3*e*f*g^2 - b^3*d^4*g^3)*n^2)*log(c))*log(e*x + d)^2 + 72*(3*(b^3*e^4*g^3*n - 4*a*b^2*e^4*g^3)*x^4 - 4*(12*a*b^2*e^4*f*g^2 - (4*b^3*e^4*f*g^2 - b^3*d*e^3*g^3)*n)*x^3 - 6*(12*a*b^2*e^4*f^2*g - (6*b^3*e^4*f^2*g - 4*b^3*d*e^3*f*g^2 + b^3*d^2*e^2*g^3)*n)*x^2 - 12*(4*a*b^2*e^4*f^3 - (4*b^3*e^4*f^3 - 6*b^3*d*e^3*f^2*g + 4*b^3*d^2*e^2*f*g^2 - b^3*d^3*e*g^3)*n)*x)*log(c)^2 - 12*(96*a^3*e^4*f^3 - (576*b^3*e^4*f^3 - 1512*b^3*d*e^3*f^2*g + 1360*b^3*d^2*e^2*f*g^2 - 415*b^3*d^3*e*g^3)*n^3 + 12*(48*a*b^2*e^4*f^3 - 108*a*b^2*d*e^3*f^2*g + 88*a*b^2*d^2*e^2*f*g^2 - 25*a*b^2*d^3*e*g^3)*n^2 - 72*(4*a^2*b*e^4*f^3 - 6*a^2*b*d*e^3*f^2*g + 4*a^2*b*d^2*e^2*f*g^2 - a^2*b*d^3*e*g^3)*n)*x - 12*(9*(b^3*e^4*g^3*n^3 - 4*a*b^2*e^4*g^3*n^2 + 8*a^2*b*e^4*g^3*n)*x^4 + (576*b^3*d*e^3*f^3 - 1512*b^3*d^2*e^2*f^2*g + 1360*b^3*d^3*e*f*g^2 - 415*b^3*d^4*g^3)*n^3 + 4*(72*a^2*b*e^4*f*g^2*n + (16*b^3*e^4*f*g^2 - 7*b^3*d*e^3*g^3)*n^3 - 12*(4*a*b^2*e^4*f*g^2 - a*b^2*d*e^3*g^3)*n^2)*x^3 - 12*(48*a*b^2*d*e^3*f^3 - 108*a*b^2*d^2*e^2*f^2*g + 88*a*b^2*d^3*e*f*g^2 - 25*a*b^2*d^4*g^3)*n^2 + 6*(72*a^2*b*e^4*f^2*g*n + (36*b^3*e^4*f^2*g - 40*b^3*d*e^3*f*g^2 + 13*b^3*d^2*e^2*g^3)*n^3 - 12*(6*a*b^2*e^4*f^2*g - 4*a*b^2*d*e^3*f*g^2 + a*b^2*d^2*e^2*g^3)*n^2)*x^2 + 72*(b^3*e^4*g^3*n*x^4 + 4*b^3*e^4*f*g^2*n*x^3 + 6*b^3*e^4*f^2*g*n*x^2 + 4*b^3*e^4*f^3*n*x + (4*b^3*d*e^3*f^3 - 6*b^3*d^2*e^2*f^2*g + 4*b^3*d^3*e*f*g^2 - b^3*d^4*g^3)*n)*log(c)^2 + 72*(4*a^2*b*d*e^3*f^3 - 6*a^2*b*d^2*e^2*f^2*g + 4*a^2*b*d^3*e*f*g^2 - a^2*b*d^4*g^3)*n + 12*(24*a^2*b*e^4*f^3*n + (48*b^3*e^4*f^3 - 108*b^3*d*e^3*f^2*g + 88*b^3*d^2*e^2*f*g^2 - 25*b^3*d^3*e*g^3)*n^3 - 12*(4*a*b^2*e^4*f^3 - 6*a*b^2*d*e^3*f^2*g + 4*a*b^2*d^2*e^2*f*g^2 - a*b^2*d^3*e*g^3)*n^2)*x - 12*(3*(b^3*e^4*g^3*n^2 - 4*a*b^2*e^4*g^3*n)*x^4 - 4*(12*a*b^2*e^4*f*g^2*n - (4*b^3*e^4*f*g^2 - b^3*d*e^3*g^3)*n^2)*x^3 + (48*b^3*d*e^3*f^3 - 108*b^3*d^2*e^2*f^2*g + 88*b^3*d^3*e*f*g^2 - 25*b^3*d^4*g^3)*n^2 - 6*(12*a*b^2*e^4*f^2*g*n - (6*b^3*e^4*f^2*g - 4*b^3*d*e^3*f*g^2 + b^3*d^2*e^2*g^3)*n^2)*x^2 - 12*(4*a*b^2*d*e^3*f^3 - 6*a*b^2*d^2*e^2*f^2*g + 4*a*b^2*d^3*e*f*g^2 - a*b^2*d^4*g^3)*n - 12*(4*a*b^2*e^4*f^3*n - (4*b^3*e^4*f^3 - 6*b^3*d*e^3*f^2*g + 4*b^3*d^2*e^2*f*g^2 - b^3*d^3*e*g^3)*n^2)*x)*log(c))*log(e*x + d) - 12*(9*(b^3*e^4*g^3*n^2 - 4*a*b^2*e^4*g^3*n + 8*a^2*b*e^4*g^3)*x^4 + 4*(72*a^2*b*e^4*f*g^2 + (16*b^3*e^4*f*g^2 - 7*b^3*d*e^3*g^3)*n^2 - 12*(4*a*b^2*e^4*f*g^2 - a*b^2*d*e^3*g^3)*n)*x^3 + 6*(72*a^2*b*e^4*f^2*g + (36*b^3*e^4*f^2*g - 40*b^3*d*e^3*f*g^2 + 13*b^3*d^2*e^2*g^3)*n^2 - 12*(6*a*b^2*e^4*f^2*g - 4*a*b^2*d*e^3*f*g^2 + a*b^2*d^2*e^2*g^3)*n)*x^2 + 12*(24*a^2*b*e^4*f^3 + (48*b^3*e^4*f^3 - 108*b^3*d*e^3*f^2*g + 88*b^3*d^2*e^2*f*g^2 - 25*b^3*d^3*e*g^3)*n^2 - 12*(4*a*b^2*e^4*f^3 - 6*a*b^2*d*e^3*f^2*g + 4*a*b^2*d^2*e^2*f*g^2 - a*b^2*d^3*e*g^3)*n)*x)*log(c))/e^4","B",0
53,1,1771,0,0.901425," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""fricas"")","-\frac{4 \, {\left(2 \, b^{3} e^{3} g^{2} n^{3} - 6 \, a b^{2} e^{3} g^{2} n^{2} + 9 \, a^{2} b e^{3} g^{2} n - 9 \, a^{3} e^{3} g^{2}\right)} x^{3} - 36 \, {\left(b^{3} e^{3} g^{2} n^{3} x^{3} + 3 \, b^{3} e^{3} f g n^{3} x^{2} + 3 \, b^{3} e^{3} f^{2} n^{3} x + {\left(3 \, b^{3} d e^{2} f^{2} - 3 \, b^{3} d^{2} e f g + b^{3} d^{3} g^{2}\right)} n^{3}\right)} \log\left(e x + d\right)^{3} - 36 \, {\left(b^{3} e^{3} g^{2} x^{3} + 3 \, b^{3} e^{3} f g x^{2} + 3 \, b^{3} e^{3} f^{2} x\right)} \log\left(c\right)^{3} - 3 \, {\left(36 \, a^{3} e^{3} f g - {\left(27 \, b^{3} e^{3} f g - 19 \, b^{3} d e^{2} g^{2}\right)} n^{3} + 6 \, {\left(9 \, a b^{2} e^{3} f g - 5 \, a b^{2} d e^{2} g^{2}\right)} n^{2} - 18 \, {\left(3 \, a^{2} b e^{3} f g - a^{2} b d e^{2} g^{2}\right)} n\right)} x^{2} + 18 \, {\left({\left(18 \, b^{3} d e^{2} f^{2} - 27 \, b^{3} d^{2} e f g + 11 \, b^{3} d^{3} g^{2}\right)} n^{3} + 2 \, {\left(b^{3} e^{3} g^{2} n^{3} - 3 \, a b^{2} e^{3} g^{2} n^{2}\right)} x^{3} - 6 \, {\left(3 \, a b^{2} d e^{2} f^{2} - 3 \, a b^{2} d^{2} e f g + a b^{2} d^{3} g^{2}\right)} n^{2} - 3 \, {\left(6 \, a b^{2} e^{3} f g n^{2} - {\left(3 \, b^{3} e^{3} f g - b^{3} d e^{2} g^{2}\right)} n^{3}\right)} x^{2} - 6 \, {\left(3 \, a b^{2} e^{3} f^{2} n^{2} - {\left(3 \, b^{3} e^{3} f^{2} - 3 \, b^{3} d e^{2} f g + b^{3} d^{2} e g^{2}\right)} n^{3}\right)} x - 6 \, {\left(b^{3} e^{3} g^{2} n^{2} x^{3} + 3 \, b^{3} e^{3} f g n^{2} x^{2} + 3 \, b^{3} e^{3} f^{2} n^{2} x + {\left(3 \, b^{3} d e^{2} f^{2} - 3 \, b^{3} d^{2} e f g + b^{3} d^{3} g^{2}\right)} n^{2}\right)} \log\left(c\right)\right)} \log\left(e x + d\right)^{2} + 18 \, {\left(2 \, {\left(b^{3} e^{3} g^{2} n - 3 \, a b^{2} e^{3} g^{2}\right)} x^{3} - 3 \, {\left(6 \, a b^{2} e^{3} f g - {\left(3 \, b^{3} e^{3} f g - b^{3} d e^{2} g^{2}\right)} n\right)} x^{2} - 6 \, {\left(3 \, a b^{2} e^{3} f^{2} - {\left(3 \, b^{3} e^{3} f^{2} - 3 \, b^{3} d e^{2} f g + b^{3} d^{2} e g^{2}\right)} n\right)} x\right)} \log\left(c\right)^{2} - 6 \, {\left(18 \, a^{3} e^{3} f^{2} - {\left(108 \, b^{3} e^{3} f^{2} - 189 \, b^{3} d e^{2} f g + 85 \, b^{3} d^{2} e g^{2}\right)} n^{3} + 6 \, {\left(18 \, a b^{2} e^{3} f^{2} - 27 \, a b^{2} d e^{2} f g + 11 \, a b^{2} d^{2} e g^{2}\right)} n^{2} - 18 \, {\left(3 \, a^{2} b e^{3} f^{2} - 3 \, a^{2} b d e^{2} f g + a^{2} b d^{2} e g^{2}\right)} n\right)} x - 6 \, {\left({\left(108 \, b^{3} d e^{2} f^{2} - 189 \, b^{3} d^{2} e f g + 85 \, b^{3} d^{3} g^{2}\right)} n^{3} + 2 \, {\left(2 \, b^{3} e^{3} g^{2} n^{3} - 6 \, a b^{2} e^{3} g^{2} n^{2} + 9 \, a^{2} b e^{3} g^{2} n\right)} x^{3} - 6 \, {\left(18 \, a b^{2} d e^{2} f^{2} - 27 \, a b^{2} d^{2} e f g + 11 \, a b^{2} d^{3} g^{2}\right)} n^{2} + 3 \, {\left(18 \, a^{2} b e^{3} f g n + {\left(9 \, b^{3} e^{3} f g - 5 \, b^{3} d e^{2} g^{2}\right)} n^{3} - 6 \, {\left(3 \, a b^{2} e^{3} f g - a b^{2} d e^{2} g^{2}\right)} n^{2}\right)} x^{2} + 18 \, {\left(b^{3} e^{3} g^{2} n x^{3} + 3 \, b^{3} e^{3} f g n x^{2} + 3 \, b^{3} e^{3} f^{2} n x + {\left(3 \, b^{3} d e^{2} f^{2} - 3 \, b^{3} d^{2} e f g + b^{3} d^{3} g^{2}\right)} n\right)} \log\left(c\right)^{2} + 18 \, {\left(3 \, a^{2} b d e^{2} f^{2} - 3 \, a^{2} b d^{2} e f g + a^{2} b d^{3} g^{2}\right)} n + 6 \, {\left(9 \, a^{2} b e^{3} f^{2} n + {\left(18 \, b^{3} e^{3} f^{2} - 27 \, b^{3} d e^{2} f g + 11 \, b^{3} d^{2} e g^{2}\right)} n^{3} - 6 \, {\left(3 \, a b^{2} e^{3} f^{2} - 3 \, a b^{2} d e^{2} f g + a b^{2} d^{2} e g^{2}\right)} n^{2}\right)} x - 6 \, {\left(2 \, {\left(b^{3} e^{3} g^{2} n^{2} - 3 \, a b^{2} e^{3} g^{2} n\right)} x^{3} + {\left(18 \, b^{3} d e^{2} f^{2} - 27 \, b^{3} d^{2} e f g + 11 \, b^{3} d^{3} g^{2}\right)} n^{2} - 3 \, {\left(6 \, a b^{2} e^{3} f g n - {\left(3 \, b^{3} e^{3} f g - b^{3} d e^{2} g^{2}\right)} n^{2}\right)} x^{2} - 6 \, {\left(3 \, a b^{2} d e^{2} f^{2} - 3 \, a b^{2} d^{2} e f g + a b^{2} d^{3} g^{2}\right)} n - 6 \, {\left(3 \, a b^{2} e^{3} f^{2} n - {\left(3 \, b^{3} e^{3} f^{2} - 3 \, b^{3} d e^{2} f g + b^{3} d^{2} e g^{2}\right)} n^{2}\right)} x\right)} \log\left(c\right)\right)} \log\left(e x + d\right) - 6 \, {\left(2 \, {\left(2 \, b^{3} e^{3} g^{2} n^{2} - 6 \, a b^{2} e^{3} g^{2} n + 9 \, a^{2} b e^{3} g^{2}\right)} x^{3} + 3 \, {\left(18 \, a^{2} b e^{3} f g + {\left(9 \, b^{3} e^{3} f g - 5 \, b^{3} d e^{2} g^{2}\right)} n^{2} - 6 \, {\left(3 \, a b^{2} e^{3} f g - a b^{2} d e^{2} g^{2}\right)} n\right)} x^{2} + 6 \, {\left(9 \, a^{2} b e^{3} f^{2} + {\left(18 \, b^{3} e^{3} f^{2} - 27 \, b^{3} d e^{2} f g + 11 \, b^{3} d^{2} e g^{2}\right)} n^{2} - 6 \, {\left(3 \, a b^{2} e^{3} f^{2} - 3 \, a b^{2} d e^{2} f g + a b^{2} d^{2} e g^{2}\right)} n\right)} x\right)} \log\left(c\right)}{108 \, e^{3}}"," ",0,"-1/108*(4*(2*b^3*e^3*g^2*n^3 - 6*a*b^2*e^3*g^2*n^2 + 9*a^2*b*e^3*g^2*n - 9*a^3*e^3*g^2)*x^3 - 36*(b^3*e^3*g^2*n^3*x^3 + 3*b^3*e^3*f*g*n^3*x^2 + 3*b^3*e^3*f^2*n^3*x + (3*b^3*d*e^2*f^2 - 3*b^3*d^2*e*f*g + b^3*d^3*g^2)*n^3)*log(e*x + d)^3 - 36*(b^3*e^3*g^2*x^3 + 3*b^3*e^3*f*g*x^2 + 3*b^3*e^3*f^2*x)*log(c)^3 - 3*(36*a^3*e^3*f*g - (27*b^3*e^3*f*g - 19*b^3*d*e^2*g^2)*n^3 + 6*(9*a*b^2*e^3*f*g - 5*a*b^2*d*e^2*g^2)*n^2 - 18*(3*a^2*b*e^3*f*g - a^2*b*d*e^2*g^2)*n)*x^2 + 18*((18*b^3*d*e^2*f^2 - 27*b^3*d^2*e*f*g + 11*b^3*d^3*g^2)*n^3 + 2*(b^3*e^3*g^2*n^3 - 3*a*b^2*e^3*g^2*n^2)*x^3 - 6*(3*a*b^2*d*e^2*f^2 - 3*a*b^2*d^2*e*f*g + a*b^2*d^3*g^2)*n^2 - 3*(6*a*b^2*e^3*f*g*n^2 - (3*b^3*e^3*f*g - b^3*d*e^2*g^2)*n^3)*x^2 - 6*(3*a*b^2*e^3*f^2*n^2 - (3*b^3*e^3*f^2 - 3*b^3*d*e^2*f*g + b^3*d^2*e*g^2)*n^3)*x - 6*(b^3*e^3*g^2*n^2*x^3 + 3*b^3*e^3*f*g*n^2*x^2 + 3*b^3*e^3*f^2*n^2*x + (3*b^3*d*e^2*f^2 - 3*b^3*d^2*e*f*g + b^3*d^3*g^2)*n^2)*log(c))*log(e*x + d)^2 + 18*(2*(b^3*e^3*g^2*n - 3*a*b^2*e^3*g^2)*x^3 - 3*(6*a*b^2*e^3*f*g - (3*b^3*e^3*f*g - b^3*d*e^2*g^2)*n)*x^2 - 6*(3*a*b^2*e^3*f^2 - (3*b^3*e^3*f^2 - 3*b^3*d*e^2*f*g + b^3*d^2*e*g^2)*n)*x)*log(c)^2 - 6*(18*a^3*e^3*f^2 - (108*b^3*e^3*f^2 - 189*b^3*d*e^2*f*g + 85*b^3*d^2*e*g^2)*n^3 + 6*(18*a*b^2*e^3*f^2 - 27*a*b^2*d*e^2*f*g + 11*a*b^2*d^2*e*g^2)*n^2 - 18*(3*a^2*b*e^3*f^2 - 3*a^2*b*d*e^2*f*g + a^2*b*d^2*e*g^2)*n)*x - 6*((108*b^3*d*e^2*f^2 - 189*b^3*d^2*e*f*g + 85*b^3*d^3*g^2)*n^3 + 2*(2*b^3*e^3*g^2*n^3 - 6*a*b^2*e^3*g^2*n^2 + 9*a^2*b*e^3*g^2*n)*x^3 - 6*(18*a*b^2*d*e^2*f^2 - 27*a*b^2*d^2*e*f*g + 11*a*b^2*d^3*g^2)*n^2 + 3*(18*a^2*b*e^3*f*g*n + (9*b^3*e^3*f*g - 5*b^3*d*e^2*g^2)*n^3 - 6*(3*a*b^2*e^3*f*g - a*b^2*d*e^2*g^2)*n^2)*x^2 + 18*(b^3*e^3*g^2*n*x^3 + 3*b^3*e^3*f*g*n*x^2 + 3*b^3*e^3*f^2*n*x + (3*b^3*d*e^2*f^2 - 3*b^3*d^2*e*f*g + b^3*d^3*g^2)*n)*log(c)^2 + 18*(3*a^2*b*d*e^2*f^2 - 3*a^2*b*d^2*e*f*g + a^2*b*d^3*g^2)*n + 6*(9*a^2*b*e^3*f^2*n + (18*b^3*e^3*f^2 - 27*b^3*d*e^2*f*g + 11*b^3*d^2*e*g^2)*n^3 - 6*(3*a*b^2*e^3*f^2 - 3*a*b^2*d*e^2*f*g + a*b^2*d^2*e*g^2)*n^2)*x - 6*(2*(b^3*e^3*g^2*n^2 - 3*a*b^2*e^3*g^2*n)*x^3 + (18*b^3*d*e^2*f^2 - 27*b^3*d^2*e*f*g + 11*b^3*d^3*g^2)*n^2 - 3*(6*a*b^2*e^3*f*g*n - (3*b^3*e^3*f*g - b^3*d*e^2*g^2)*n^2)*x^2 - 6*(3*a*b^2*d*e^2*f^2 - 3*a*b^2*d^2*e*f*g + a*b^2*d^3*g^2)*n - 6*(3*a*b^2*e^3*f^2*n - (3*b^3*e^3*f^2 - 3*b^3*d*e^2*f*g + b^3*d^2*e*g^2)*n^2)*x)*log(c))*log(e*x + d) - 6*(2*(2*b^3*e^3*g^2*n^2 - 6*a*b^2*e^3*g^2*n + 9*a^2*b*e^3*g^2)*x^3 + 3*(18*a^2*b*e^3*f*g + (9*b^3*e^3*f*g - 5*b^3*d*e^2*g^2)*n^2 - 6*(3*a*b^2*e^3*f*g - a*b^2*d*e^2*g^2)*n)*x^2 + 6*(9*a^2*b*e^3*f^2 + (18*b^3*e^3*f^2 - 27*b^3*d*e^2*f*g + 11*b^3*d^2*e*g^2)*n^2 - 6*(3*a*b^2*e^3*f^2 - 3*a*b^2*d*e^2*f*g + a*b^2*d^2*e*g^2)*n)*x)*log(c))/e^3","B",0
54,1,923,0,0.877375," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""fricas"")","\frac{4 \, {\left(b^{3} e^{2} g n^{3} x^{2} + 2 \, b^{3} e^{2} f n^{3} x + {\left(2 \, b^{3} d e f - b^{3} d^{2} g\right)} n^{3}\right)} \log\left(e x + d\right)^{3} + 4 \, {\left(b^{3} e^{2} g x^{2} + 2 \, b^{3} e^{2} f x\right)} \log\left(c\right)^{3} - {\left(3 \, b^{3} e^{2} g n^{3} - 6 \, a b^{2} e^{2} g n^{2} + 6 \, a^{2} b e^{2} g n - 4 \, a^{3} e^{2} g\right)} x^{2} - 6 \, {\left({\left(4 \, b^{3} d e f - 3 \, b^{3} d^{2} g\right)} n^{3} - 2 \, {\left(2 \, a b^{2} d e f - a b^{2} d^{2} g\right)} n^{2} + {\left(b^{3} e^{2} g n^{3} - 2 \, a b^{2} e^{2} g n^{2}\right)} x^{2} - 2 \, {\left(2 \, a b^{2} e^{2} f n^{2} - {\left(2 \, b^{3} e^{2} f - b^{3} d e g\right)} n^{3}\right)} x - 2 \, {\left(b^{3} e^{2} g n^{2} x^{2} + 2 \, b^{3} e^{2} f n^{2} x + {\left(2 \, b^{3} d e f - b^{3} d^{2} g\right)} n^{2}\right)} \log\left(c\right)\right)} \log\left(e x + d\right)^{2} - 6 \, {\left({\left(b^{3} e^{2} g n - 2 \, a b^{2} e^{2} g\right)} x^{2} - 2 \, {\left(2 \, a b^{2} e^{2} f - {\left(2 \, b^{3} e^{2} f - b^{3} d e g\right)} n\right)} x\right)} \log\left(c\right)^{2} + 2 \, {\left(4 \, a^{3} e^{2} f - 3 \, {\left(8 \, b^{3} e^{2} f - 7 \, b^{3} d e g\right)} n^{3} + 6 \, {\left(4 \, a b^{2} e^{2} f - 3 \, a b^{2} d e g\right)} n^{2} - 6 \, {\left(2 \, a^{2} b e^{2} f - a^{2} b d e g\right)} n\right)} x + 6 \, {\left({\left(8 \, b^{3} d e f - 7 \, b^{3} d^{2} g\right)} n^{3} - 2 \, {\left(4 \, a b^{2} d e f - 3 \, a b^{2} d^{2} g\right)} n^{2} + {\left(b^{3} e^{2} g n^{3} - 2 \, a b^{2} e^{2} g n^{2} + 2 \, a^{2} b e^{2} g n\right)} x^{2} + 2 \, {\left(b^{3} e^{2} g n x^{2} + 2 \, b^{3} e^{2} f n x + {\left(2 \, b^{3} d e f - b^{3} d^{2} g\right)} n\right)} \log\left(c\right)^{2} + 2 \, {\left(2 \, a^{2} b d e f - a^{2} b d^{2} g\right)} n + 2 \, {\left(2 \, a^{2} b e^{2} f n + {\left(4 \, b^{3} e^{2} f - 3 \, b^{3} d e g\right)} n^{3} - 2 \, {\left(2 \, a b^{2} e^{2} f - a b^{2} d e g\right)} n^{2}\right)} x - 2 \, {\left({\left(4 \, b^{3} d e f - 3 \, b^{3} d^{2} g\right)} n^{2} + {\left(b^{3} e^{2} g n^{2} - 2 \, a b^{2} e^{2} g n\right)} x^{2} - 2 \, {\left(2 \, a b^{2} d e f - a b^{2} d^{2} g\right)} n - 2 \, {\left(2 \, a b^{2} e^{2} f n - {\left(2 \, b^{3} e^{2} f - b^{3} d e g\right)} n^{2}\right)} x\right)} \log\left(c\right)\right)} \log\left(e x + d\right) + 6 \, {\left({\left(b^{3} e^{2} g n^{2} - 2 \, a b^{2} e^{2} g n + 2 \, a^{2} b e^{2} g\right)} x^{2} + 2 \, {\left(2 \, a^{2} b e^{2} f + {\left(4 \, b^{3} e^{2} f - 3 \, b^{3} d e g\right)} n^{2} - 2 \, {\left(2 \, a b^{2} e^{2} f - a b^{2} d e g\right)} n\right)} x\right)} \log\left(c\right)}{8 \, e^{2}}"," ",0,"1/8*(4*(b^3*e^2*g*n^3*x^2 + 2*b^3*e^2*f*n^3*x + (2*b^3*d*e*f - b^3*d^2*g)*n^3)*log(e*x + d)^3 + 4*(b^3*e^2*g*x^2 + 2*b^3*e^2*f*x)*log(c)^3 - (3*b^3*e^2*g*n^3 - 6*a*b^2*e^2*g*n^2 + 6*a^2*b*e^2*g*n - 4*a^3*e^2*g)*x^2 - 6*((4*b^3*d*e*f - 3*b^3*d^2*g)*n^3 - 2*(2*a*b^2*d*e*f - a*b^2*d^2*g)*n^2 + (b^3*e^2*g*n^3 - 2*a*b^2*e^2*g*n^2)*x^2 - 2*(2*a*b^2*e^2*f*n^2 - (2*b^3*e^2*f - b^3*d*e*g)*n^3)*x - 2*(b^3*e^2*g*n^2*x^2 + 2*b^3*e^2*f*n^2*x + (2*b^3*d*e*f - b^3*d^2*g)*n^2)*log(c))*log(e*x + d)^2 - 6*((b^3*e^2*g*n - 2*a*b^2*e^2*g)*x^2 - 2*(2*a*b^2*e^2*f - (2*b^3*e^2*f - b^3*d*e*g)*n)*x)*log(c)^2 + 2*(4*a^3*e^2*f - 3*(8*b^3*e^2*f - 7*b^3*d*e*g)*n^3 + 6*(4*a*b^2*e^2*f - 3*a*b^2*d*e*g)*n^2 - 6*(2*a^2*b*e^2*f - a^2*b*d*e*g)*n)*x + 6*((8*b^3*d*e*f - 7*b^3*d^2*g)*n^3 - 2*(4*a*b^2*d*e*f - 3*a*b^2*d^2*g)*n^2 + (b^3*e^2*g*n^3 - 2*a*b^2*e^2*g*n^2 + 2*a^2*b*e^2*g*n)*x^2 + 2*(b^3*e^2*g*n*x^2 + 2*b^3*e^2*f*n*x + (2*b^3*d*e*f - b^3*d^2*g)*n)*log(c)^2 + 2*(2*a^2*b*d*e*f - a^2*b*d^2*g)*n + 2*(2*a^2*b*e^2*f*n + (4*b^3*e^2*f - 3*b^3*d*e*g)*n^3 - 2*(2*a*b^2*e^2*f - a*b^2*d*e*g)*n^2)*x - 2*((4*b^3*d*e*f - 3*b^3*d^2*g)*n^2 + (b^3*e^2*g*n^2 - 2*a*b^2*e^2*g*n)*x^2 - 2*(2*a*b^2*d*e*f - a*b^2*d^2*g)*n - 2*(2*a*b^2*e^2*f*n - (2*b^3*e^2*f - b^3*d*e*g)*n^2)*x)*log(c))*log(e*x + d) + 6*((b^3*e^2*g*n^2 - 2*a*b^2*e^2*g*n + 2*a^2*b*e^2*g)*x^2 + 2*(2*a^2*b*e^2*f + (4*b^3*e^2*f - 3*b^3*d*e*g)*n^2 - 2*(2*a*b^2*e^2*f - a*b^2*d*e*g)*n)*x)*log(c))/e^2","B",0
55,1,324,0,0.917164," ","integrate((a+b*log(c*(e*x+d)^n))^3,x, algorithm=""fricas"")","\frac{b^{3} e x \log\left(c\right)^{3} + {\left(b^{3} e n^{3} x + b^{3} d n^{3}\right)} \log\left(e x + d\right)^{3} - 3 \, {\left(b^{3} e n - a b^{2} e\right)} x \log\left(c\right)^{2} - 3 \, {\left(b^{3} d n^{3} - a b^{2} d n^{2} + {\left(b^{3} e n^{3} - a b^{2} e n^{2}\right)} x - {\left(b^{3} e n^{2} x + b^{3} d n^{2}\right)} \log\left(c\right)\right)} \log\left(e x + d\right)^{2} + 3 \, {\left(2 \, b^{3} e n^{2} - 2 \, a b^{2} e n + a^{2} b e\right)} x \log\left(c\right) - {\left(6 \, b^{3} e n^{3} - 6 \, a b^{2} e n^{2} + 3 \, a^{2} b e n - a^{3} e\right)} x + 3 \, {\left(2 \, b^{3} d n^{3} - 2 \, a b^{2} d n^{2} + a^{2} b d n + {\left(b^{3} e n x + b^{3} d n\right)} \log\left(c\right)^{2} + {\left(2 \, b^{3} e n^{3} - 2 \, a b^{2} e n^{2} + a^{2} b e n\right)} x - 2 \, {\left(b^{3} d n^{2} - a b^{2} d n + {\left(b^{3} e n^{2} - a b^{2} e n\right)} x\right)} \log\left(c\right)\right)} \log\left(e x + d\right)}{e}"," ",0,"(b^3*e*x*log(c)^3 + (b^3*e*n^3*x + b^3*d*n^3)*log(e*x + d)^3 - 3*(b^3*e*n - a*b^2*e)*x*log(c)^2 - 3*(b^3*d*n^3 - a*b^2*d*n^2 + (b^3*e*n^3 - a*b^2*e*n^2)*x - (b^3*e*n^2*x + b^3*d*n^2)*log(c))*log(e*x + d)^2 + 3*(2*b^3*e*n^2 - 2*a*b^2*e*n + a^2*b*e)*x*log(c) - (6*b^3*e*n^3 - 6*a*b^2*e*n^2 + 3*a^2*b*e*n - a^3*e)*x + 3*(2*b^3*d*n^3 - 2*a*b^2*d*n^2 + a^2*b*d*n + (b^3*e*n*x + b^3*d*n)*log(c)^2 + (2*b^3*e*n^3 - 2*a*b^2*e*n^2 + a^2*b*e*n)*x - 2*(b^3*d*n^2 - a*b^2*d*n + (b^3*e*n^2 - a*b^2*e*n)*x)*log(c))*log(e*x + d))/e","B",0
56,0,0,0,1.150561," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, a b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b \log\left({\left(e x + d\right)}^{n} c\right) + a^{3}}{g x + f}, x\right)"," ",0,"integral((b^3*log((e*x + d)^n*c)^3 + 3*a*b^2*log((e*x + d)^n*c)^2 + 3*a^2*b*log((e*x + d)^n*c) + a^3)/(g*x + f), x)","F",0
57,0,0,0,1.028214," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, a b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b \log\left({\left(e x + d\right)}^{n} c\right) + a^{3}}{g^{2} x^{2} + 2 \, f g x + f^{2}}, x\right)"," ",0,"integral((b^3*log((e*x + d)^n*c)^3 + 3*a*b^2*log((e*x + d)^n*c)^2 + 3*a^2*b*log((e*x + d)^n*c) + a^3)/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
58,0,0,0,0.861419," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, a b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b \log\left({\left(e x + d\right)}^{n} c\right) + a^{3}}{g^{3} x^{3} + 3 \, f g^{2} x^{2} + 3 \, f^{2} g x + f^{3}}, x\right)"," ",0,"integral((b^3*log((e*x + d)^n*c)^3 + 3*a*b^2*log((e*x + d)^n*c)^2 + 3*a^2*b*log((e*x + d)^n*c) + a^3)/(g^3*x^3 + 3*f*g^2*x^2 + 3*f^2*g*x + f^3), x)","F",0
59,0,0,0,0.956030," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, a b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b \log\left({\left(e x + d\right)}^{n} c\right) + a^{3}}{g^{4} x^{4} + 4 \, f g^{3} x^{3} + 6 \, f^{2} g^{2} x^{2} + 4 \, f^{3} g x + f^{4}}, x\right)"," ",0,"integral((b^3*log((e*x + d)^n*c)^3 + 3*a*b^2*log((e*x + d)^n*c)^2 + 3*a^2*b*log((e*x + d)^n*c) + a^3)/(g^4*x^4 + 4*f*g^3*x^3 + 6*f^2*g^2*x^2 + 4*f^3*g*x + f^4), x)","F",0
60,1,1756,0,1.118925," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^4,x, algorithm=""fricas"")","\frac{2 \, {\left(b^{4} e^{2} g n^{4} x^{2} + 2 \, b^{4} e^{2} f n^{4} x + {\left(2 \, b^{4} d e f - b^{4} d^{2} g\right)} n^{4}\right)} \log\left(e x + d\right)^{4} + 2 \, {\left(b^{4} e^{2} g x^{2} + 2 \, b^{4} e^{2} f x\right)} \log\left(c\right)^{4} - 4 \, {\left({\left(4 \, b^{4} d e f - 3 \, b^{4} d^{2} g\right)} n^{4} - 2 \, {\left(2 \, a b^{3} d e f - a b^{3} d^{2} g\right)} n^{3} + {\left(b^{4} e^{2} g n^{4} - 2 \, a b^{3} e^{2} g n^{3}\right)} x^{2} - 2 \, {\left(2 \, a b^{3} e^{2} f n^{3} - {\left(2 \, b^{4} e^{2} f - b^{4} d e g\right)} n^{4}\right)} x - 2 \, {\left(b^{4} e^{2} g n^{3} x^{2} + 2 \, b^{4} e^{2} f n^{3} x + {\left(2 \, b^{4} d e f - b^{4} d^{2} g\right)} n^{3}\right)} \log\left(c\right)\right)} \log\left(e x + d\right)^{3} - 4 \, {\left({\left(b^{4} e^{2} g n - 2 \, a b^{3} e^{2} g\right)} x^{2} - 2 \, {\left(2 \, a b^{3} e^{2} f - {\left(2 \, b^{4} e^{2} f - b^{4} d e g\right)} n\right)} x\right)} \log\left(c\right)^{3} + {\left(3 \, b^{4} e^{2} g n^{4} - 6 \, a b^{3} e^{2} g n^{3} + 6 \, a^{2} b^{2} e^{2} g n^{2} - 4 \, a^{3} b e^{2} g n + 2 \, a^{4} e^{2} g\right)} x^{2} + 6 \, {\left({\left(8 \, b^{4} d e f - 7 \, b^{4} d^{2} g\right)} n^{4} - 2 \, {\left(4 \, a b^{3} d e f - 3 \, a b^{3} d^{2} g\right)} n^{3} + 2 \, {\left(2 \, a^{2} b^{2} d e f - a^{2} b^{2} d^{2} g\right)} n^{2} + {\left(b^{4} e^{2} g n^{4} - 2 \, a b^{3} e^{2} g n^{3} + 2 \, a^{2} b^{2} e^{2} g n^{2}\right)} x^{2} + 2 \, {\left(b^{4} e^{2} g n^{2} x^{2} + 2 \, b^{4} e^{2} f n^{2} x + {\left(2 \, b^{4} d e f - b^{4} d^{2} g\right)} n^{2}\right)} \log\left(c\right)^{2} + 2 \, {\left(2 \, a^{2} b^{2} e^{2} f n^{2} + {\left(4 \, b^{4} e^{2} f - 3 \, b^{4} d e g\right)} n^{4} - 2 \, {\left(2 \, a b^{3} e^{2} f - a b^{3} d e g\right)} n^{3}\right)} x - 2 \, {\left({\left(4 \, b^{4} d e f - 3 \, b^{4} d^{2} g\right)} n^{3} - 2 \, {\left(2 \, a b^{3} d e f - a b^{3} d^{2} g\right)} n^{2} + {\left(b^{4} e^{2} g n^{3} - 2 \, a b^{3} e^{2} g n^{2}\right)} x^{2} - 2 \, {\left(2 \, a b^{3} e^{2} f n^{2} - {\left(2 \, b^{4} e^{2} f - b^{4} d e g\right)} n^{3}\right)} x\right)} \log\left(c\right)\right)} \log\left(e x + d\right)^{2} + 6 \, {\left({\left(b^{4} e^{2} g n^{2} - 2 \, a b^{3} e^{2} g n + 2 \, a^{2} b^{2} e^{2} g\right)} x^{2} + 2 \, {\left(2 \, a^{2} b^{2} e^{2} f + {\left(4 \, b^{4} e^{2} f - 3 \, b^{4} d e g\right)} n^{2} - 2 \, {\left(2 \, a b^{3} e^{2} f - a b^{3} d e g\right)} n\right)} x\right)} \log\left(c\right)^{2} + 2 \, {\left(2 \, a^{4} e^{2} f + 3 \, {\left(16 \, b^{4} e^{2} f - 15 \, b^{4} d e g\right)} n^{4} - 6 \, {\left(8 \, a b^{3} e^{2} f - 7 \, a b^{3} d e g\right)} n^{3} + 6 \, {\left(4 \, a^{2} b^{2} e^{2} f - 3 \, a^{2} b^{2} d e g\right)} n^{2} - 4 \, {\left(2 \, a^{3} b e^{2} f - a^{3} b d e g\right)} n\right)} x - 2 \, {\left(3 \, {\left(16 \, b^{4} d e f - 15 \, b^{4} d^{2} g\right)} n^{4} - 6 \, {\left(8 \, a b^{3} d e f - 7 \, a b^{3} d^{2} g\right)} n^{3} - 4 \, {\left(b^{4} e^{2} g n x^{2} + 2 \, b^{4} e^{2} f n x + {\left(2 \, b^{4} d e f - b^{4} d^{2} g\right)} n\right)} \log\left(c\right)^{3} + 6 \, {\left(4 \, a^{2} b^{2} d e f - 3 \, a^{2} b^{2} d^{2} g\right)} n^{2} + {\left(3 \, b^{4} e^{2} g n^{4} - 6 \, a b^{3} e^{2} g n^{3} + 6 \, a^{2} b^{2} e^{2} g n^{2} - 4 \, a^{3} b e^{2} g n\right)} x^{2} + 6 \, {\left({\left(4 \, b^{4} d e f - 3 \, b^{4} d^{2} g\right)} n^{2} + {\left(b^{4} e^{2} g n^{2} - 2 \, a b^{3} e^{2} g n\right)} x^{2} - 2 \, {\left(2 \, a b^{3} d e f - a b^{3} d^{2} g\right)} n - 2 \, {\left(2 \, a b^{3} e^{2} f n - {\left(2 \, b^{4} e^{2} f - b^{4} d e g\right)} n^{2}\right)} x\right)} \log\left(c\right)^{2} - 4 \, {\left(2 \, a^{3} b d e f - a^{3} b d^{2} g\right)} n - 2 \, {\left(4 \, a^{3} b e^{2} f n - 3 \, {\left(8 \, b^{4} e^{2} f - 7 \, b^{4} d e g\right)} n^{4} + 6 \, {\left(4 \, a b^{3} e^{2} f - 3 \, a b^{3} d e g\right)} n^{3} - 6 \, {\left(2 \, a^{2} b^{2} e^{2} f - a^{2} b^{2} d e g\right)} n^{2}\right)} x - 6 \, {\left({\left(8 \, b^{4} d e f - 7 \, b^{4} d^{2} g\right)} n^{3} - 2 \, {\left(4 \, a b^{3} d e f - 3 \, a b^{3} d^{2} g\right)} n^{2} + {\left(b^{4} e^{2} g n^{3} - 2 \, a b^{3} e^{2} g n^{2} + 2 \, a^{2} b^{2} e^{2} g n\right)} x^{2} + 2 \, {\left(2 \, a^{2} b^{2} d e f - a^{2} b^{2} d^{2} g\right)} n + 2 \, {\left(2 \, a^{2} b^{2} e^{2} f n + {\left(4 \, b^{4} e^{2} f - 3 \, b^{4} d e g\right)} n^{3} - 2 \, {\left(2 \, a b^{3} e^{2} f - a b^{3} d e g\right)} n^{2}\right)} x\right)} \log\left(c\right)\right)} \log\left(e x + d\right) - 2 \, {\left({\left(3 \, b^{4} e^{2} g n^{3} - 6 \, a b^{3} e^{2} g n^{2} + 6 \, a^{2} b^{2} e^{2} g n - 4 \, a^{3} b e^{2} g\right)} x^{2} - 2 \, {\left(4 \, a^{3} b e^{2} f - 3 \, {\left(8 \, b^{4} e^{2} f - 7 \, b^{4} d e g\right)} n^{3} + 6 \, {\left(4 \, a b^{3} e^{2} f - 3 \, a b^{3} d e g\right)} n^{2} - 6 \, {\left(2 \, a^{2} b^{2} e^{2} f - a^{2} b^{2} d e g\right)} n\right)} x\right)} \log\left(c\right)}{4 \, e^{2}}"," ",0,"1/4*(2*(b^4*e^2*g*n^4*x^2 + 2*b^4*e^2*f*n^4*x + (2*b^4*d*e*f - b^4*d^2*g)*n^4)*log(e*x + d)^4 + 2*(b^4*e^2*g*x^2 + 2*b^4*e^2*f*x)*log(c)^4 - 4*((4*b^4*d*e*f - 3*b^4*d^2*g)*n^4 - 2*(2*a*b^3*d*e*f - a*b^3*d^2*g)*n^3 + (b^4*e^2*g*n^4 - 2*a*b^3*e^2*g*n^3)*x^2 - 2*(2*a*b^3*e^2*f*n^3 - (2*b^4*e^2*f - b^4*d*e*g)*n^4)*x - 2*(b^4*e^2*g*n^3*x^2 + 2*b^4*e^2*f*n^3*x + (2*b^4*d*e*f - b^4*d^2*g)*n^3)*log(c))*log(e*x + d)^3 - 4*((b^4*e^2*g*n - 2*a*b^3*e^2*g)*x^2 - 2*(2*a*b^3*e^2*f - (2*b^4*e^2*f - b^4*d*e*g)*n)*x)*log(c)^3 + (3*b^4*e^2*g*n^4 - 6*a*b^3*e^2*g*n^3 + 6*a^2*b^2*e^2*g*n^2 - 4*a^3*b*e^2*g*n + 2*a^4*e^2*g)*x^2 + 6*((8*b^4*d*e*f - 7*b^4*d^2*g)*n^4 - 2*(4*a*b^3*d*e*f - 3*a*b^3*d^2*g)*n^3 + 2*(2*a^2*b^2*d*e*f - a^2*b^2*d^2*g)*n^2 + (b^4*e^2*g*n^4 - 2*a*b^3*e^2*g*n^3 + 2*a^2*b^2*e^2*g*n^2)*x^2 + 2*(b^4*e^2*g*n^2*x^2 + 2*b^4*e^2*f*n^2*x + (2*b^4*d*e*f - b^4*d^2*g)*n^2)*log(c)^2 + 2*(2*a^2*b^2*e^2*f*n^2 + (4*b^4*e^2*f - 3*b^4*d*e*g)*n^4 - 2*(2*a*b^3*e^2*f - a*b^3*d*e*g)*n^3)*x - 2*((4*b^4*d*e*f - 3*b^4*d^2*g)*n^3 - 2*(2*a*b^3*d*e*f - a*b^3*d^2*g)*n^2 + (b^4*e^2*g*n^3 - 2*a*b^3*e^2*g*n^2)*x^2 - 2*(2*a*b^3*e^2*f*n^2 - (2*b^4*e^2*f - b^4*d*e*g)*n^3)*x)*log(c))*log(e*x + d)^2 + 6*((b^4*e^2*g*n^2 - 2*a*b^3*e^2*g*n + 2*a^2*b^2*e^2*g)*x^2 + 2*(2*a^2*b^2*e^2*f + (4*b^4*e^2*f - 3*b^4*d*e*g)*n^2 - 2*(2*a*b^3*e^2*f - a*b^3*d*e*g)*n)*x)*log(c)^2 + 2*(2*a^4*e^2*f + 3*(16*b^4*e^2*f - 15*b^4*d*e*g)*n^4 - 6*(8*a*b^3*e^2*f - 7*a*b^3*d*e*g)*n^3 + 6*(4*a^2*b^2*e^2*f - 3*a^2*b^2*d*e*g)*n^2 - 4*(2*a^3*b*e^2*f - a^3*b*d*e*g)*n)*x - 2*(3*(16*b^4*d*e*f - 15*b^4*d^2*g)*n^4 - 6*(8*a*b^3*d*e*f - 7*a*b^3*d^2*g)*n^3 - 4*(b^4*e^2*g*n*x^2 + 2*b^4*e^2*f*n*x + (2*b^4*d*e*f - b^4*d^2*g)*n)*log(c)^3 + 6*(4*a^2*b^2*d*e*f - 3*a^2*b^2*d^2*g)*n^2 + (3*b^4*e^2*g*n^4 - 6*a*b^3*e^2*g*n^3 + 6*a^2*b^2*e^2*g*n^2 - 4*a^3*b*e^2*g*n)*x^2 + 6*((4*b^4*d*e*f - 3*b^4*d^2*g)*n^2 + (b^4*e^2*g*n^2 - 2*a*b^3*e^2*g*n)*x^2 - 2*(2*a*b^3*d*e*f - a*b^3*d^2*g)*n - 2*(2*a*b^3*e^2*f*n - (2*b^4*e^2*f - b^4*d*e*g)*n^2)*x)*log(c)^2 - 4*(2*a^3*b*d*e*f - a^3*b*d^2*g)*n - 2*(4*a^3*b*e^2*f*n - 3*(8*b^4*e^2*f - 7*b^4*d*e*g)*n^4 + 6*(4*a*b^3*e^2*f - 3*a*b^3*d*e*g)*n^3 - 6*(2*a^2*b^2*e^2*f - a^2*b^2*d*e*g)*n^2)*x - 6*((8*b^4*d*e*f - 7*b^4*d^2*g)*n^3 - 2*(4*a*b^3*d*e*f - 3*a*b^3*d^2*g)*n^2 + (b^4*e^2*g*n^3 - 2*a*b^3*e^2*g*n^2 + 2*a^2*b^2*e^2*g*n)*x^2 + 2*(2*a^2*b^2*d*e*f - a^2*b^2*d^2*g)*n + 2*(2*a^2*b^2*e^2*f*n + (4*b^4*e^2*f - 3*b^4*d*e*g)*n^3 - 2*(2*a*b^3*e^2*f - a*b^3*d*e*g)*n^2)*x)*log(c))*log(e*x + d) - 2*((3*b^4*e^2*g*n^3 - 6*a*b^3*e^2*g*n^2 + 6*a^2*b^2*e^2*g*n - 4*a^3*b*e^2*g)*x^2 - 2*(4*a^3*b*e^2*f - 3*(8*b^4*e^2*f - 7*b^4*d*e*g)*n^3 + 6*(4*a*b^3*e^2*f - 3*a*b^3*d*e*g)*n^2 - 6*(2*a^2*b^2*e^2*f - a^2*b^2*d*e*g)*n)*x)*log(c))/e^2","B",0
61,1,614,0,0.750629," ","integrate((a+b*log(c*(e*x+d)^n))^4,x, algorithm=""fricas"")","\frac{b^{4} e x \log\left(c\right)^{4} + {\left(b^{4} e n^{4} x + b^{4} d n^{4}\right)} \log\left(e x + d\right)^{4} - 4 \, {\left(b^{4} e n - a b^{3} e\right)} x \log\left(c\right)^{3} - 4 \, {\left(b^{4} d n^{4} - a b^{3} d n^{3} + {\left(b^{4} e n^{4} - a b^{3} e n^{3}\right)} x - {\left(b^{4} e n^{3} x + b^{4} d n^{3}\right)} \log\left(c\right)\right)} \log\left(e x + d\right)^{3} + 6 \, {\left(2 \, b^{4} e n^{2} - 2 \, a b^{3} e n + a^{2} b^{2} e\right)} x \log\left(c\right)^{2} + 6 \, {\left(2 \, b^{4} d n^{4} - 2 \, a b^{3} d n^{3} + a^{2} b^{2} d n^{2} + {\left(b^{4} e n^{2} x + b^{4} d n^{2}\right)} \log\left(c\right)^{2} + {\left(2 \, b^{4} e n^{4} - 2 \, a b^{3} e n^{3} + a^{2} b^{2} e n^{2}\right)} x - 2 \, {\left(b^{4} d n^{3} - a b^{3} d n^{2} + {\left(b^{4} e n^{3} - a b^{3} e n^{2}\right)} x\right)} \log\left(c\right)\right)} \log\left(e x + d\right)^{2} - 4 \, {\left(6 \, b^{4} e n^{3} - 6 \, a b^{3} e n^{2} + 3 \, a^{2} b^{2} e n - a^{3} b e\right)} x \log\left(c\right) + {\left(24 \, b^{4} e n^{4} - 24 \, a b^{3} e n^{3} + 12 \, a^{2} b^{2} e n^{2} - 4 \, a^{3} b e n + a^{4} e\right)} x - 4 \, {\left(6 \, b^{4} d n^{4} - 6 \, a b^{3} d n^{3} + 3 \, a^{2} b^{2} d n^{2} - a^{3} b d n - {\left(b^{4} e n x + b^{4} d n\right)} \log\left(c\right)^{3} + 3 \, {\left(b^{4} d n^{2} - a b^{3} d n + {\left(b^{4} e n^{2} - a b^{3} e n\right)} x\right)} \log\left(c\right)^{2} + {\left(6 \, b^{4} e n^{4} - 6 \, a b^{3} e n^{3} + 3 \, a^{2} b^{2} e n^{2} - a^{3} b e n\right)} x - 3 \, {\left(2 \, b^{4} d n^{3} - 2 \, a b^{3} d n^{2} + a^{2} b^{2} d n + {\left(2 \, b^{4} e n^{3} - 2 \, a b^{3} e n^{2} + a^{2} b^{2} e n\right)} x\right)} \log\left(c\right)\right)} \log\left(e x + d\right)}{e}"," ",0,"(b^4*e*x*log(c)^4 + (b^4*e*n^4*x + b^4*d*n^4)*log(e*x + d)^4 - 4*(b^4*e*n - a*b^3*e)*x*log(c)^3 - 4*(b^4*d*n^4 - a*b^3*d*n^3 + (b^4*e*n^4 - a*b^3*e*n^3)*x - (b^4*e*n^3*x + b^4*d*n^3)*log(c))*log(e*x + d)^3 + 6*(2*b^4*e*n^2 - 2*a*b^3*e*n + a^2*b^2*e)*x*log(c)^2 + 6*(2*b^4*d*n^4 - 2*a*b^3*d*n^3 + a^2*b^2*d*n^2 + (b^4*e*n^2*x + b^4*d*n^2)*log(c)^2 + (2*b^4*e*n^4 - 2*a*b^3*e*n^3 + a^2*b^2*e*n^2)*x - 2*(b^4*d*n^3 - a*b^3*d*n^2 + (b^4*e*n^3 - a*b^3*e*n^2)*x)*log(c))*log(e*x + d)^2 - 4*(6*b^4*e*n^3 - 6*a*b^3*e*n^2 + 3*a^2*b^2*e*n - a^3*b*e)*x*log(c) + (24*b^4*e*n^4 - 24*a*b^3*e*n^3 + 12*a^2*b^2*e*n^2 - 4*a^3*b*e*n + a^4*e)*x - 4*(6*b^4*d*n^4 - 6*a*b^3*d*n^3 + 3*a^2*b^2*d*n^2 - a^3*b*d*n - (b^4*e*n*x + b^4*d*n)*log(c)^3 + 3*(b^4*d*n^2 - a*b^3*d*n + (b^4*e*n^2 - a*b^3*e*n)*x)*log(c)^2 + (6*b^4*e*n^4 - 6*a*b^3*e*n^3 + 3*a^2*b^2*e*n^2 - a^3*b*e*n)*x - 3*(2*b^4*d*n^3 - 2*a*b^3*d*n^2 + a^2*b^2*d*n + (2*b^4*e*n^3 - 2*a*b^3*e*n^2 + a^2*b^2*e*n)*x)*log(c))*log(e*x + d))/e","B",0
62,0,0,0,0.944010," ","integrate((a+b*log(c*(e*x+d)^n))^4/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \log\left({\left(e x + d\right)}^{n} c\right)^{4} + 4 \, a b^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 6 \, a^{2} b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 4 \, a^{3} b \log\left({\left(e x + d\right)}^{n} c\right) + a^{4}}{g x + f}, x\right)"," ",0,"integral((b^4*log((e*x + d)^n*c)^4 + 4*a*b^3*log((e*x + d)^n*c)^3 + 6*a^2*b^2*log((e*x + d)^n*c)^2 + 4*a^3*b*log((e*x + d)^n*c) + a^4)/(g*x + f), x)","F",0
63,0,0,0,0.928005," ","integrate((a+b*log(c*(e*x+d)^n))^4/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \log\left({\left(e x + d\right)}^{n} c\right)^{4} + 4 \, a b^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 6 \, a^{2} b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 4 \, a^{3} b \log\left({\left(e x + d\right)}^{n} c\right) + a^{4}}{g^{2} x^{2} + 2 \, f g x + f^{2}}, x\right)"," ",0,"integral((b^4*log((e*x + d)^n*c)^4 + 4*a*b^3*log((e*x + d)^n*c)^3 + 6*a^2*b^2*log((e*x + d)^n*c)^2 + 4*a^3*b*log((e*x + d)^n*c) + a^4)/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
64,1,22,0,0.876580," ","integrate(log(b*x+a),x, algorithm=""fricas"")","-\frac{b x - {\left(b x + a\right)} \log\left(b x + a\right)}{b}"," ",0,"-(b*x - (b*x + a)*log(b*x + a))/b","A",0
65,1,36,0,0.843039," ","integrate(log(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \log\left(b x + a\right)^{2} + 2 \, b x - 2 \, {\left(b x + a\right)} \log\left(b x + a\right)}{b}"," ",0,"((b*x + a)*log(b*x + a)^2 + 2*b*x - 2*(b*x + a)*log(b*x + a))/b","A",0
66,1,51,0,0.922587," ","integrate(log(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \log\left(b x + a\right)^{3} - 3 \, {\left(b x + a\right)} \log\left(b x + a\right)^{2} - 6 \, b x + 6 \, {\left(b x + a\right)} \log\left(b x + a\right)}{b}"," ",0,"((b*x + a)*log(b*x + a)^3 - 3*(b*x + a)*log(b*x + a)^2 - 6*b*x + 6*(b*x + a)*log(b*x + a))/b","A",0
67,1,30,0,0.914271," ","integrate(log(b*x+c*x+a),x, algorithm=""fricas"")","-\frac{{\left(b + c\right)} x - {\left({\left(b + c\right)} x + a\right)} \log\left({\left(b + c\right)} x + a\right)}{b + c}"," ",0,"-((b + c)*x - ((b + c)*x + a)*log((b + c)*x + a))/(b + c)","A",0
68,1,48,0,0.750824," ","integrate(log(b*x+c*x+a)^2,x, algorithm=""fricas"")","\frac{{\left({\left(b + c\right)} x + a\right)} \log\left({\left(b + c\right)} x + a\right)^{2} + 2 \, {\left(b + c\right)} x - 2 \, {\left({\left(b + c\right)} x + a\right)} \log\left({\left(b + c\right)} x + a\right)}{b + c}"," ",0,"(((b + c)*x + a)*log((b + c)*x + a)^2 + 2*(b + c)*x - 2*((b + c)*x + a)*log((b + c)*x + a))/(b + c)","A",0
69,1,67,0,0.957870," ","integrate(log(b*x+c*x+a)^3,x, algorithm=""fricas"")","\frac{{\left({\left(b + c\right)} x + a\right)} \log\left({\left(b + c\right)} x + a\right)^{3} - 3 \, {\left({\left(b + c\right)} x + a\right)} \log\left({\left(b + c\right)} x + a\right)^{2} - 6 \, {\left(b + c\right)} x + 6 \, {\left({\left(b + c\right)} x + a\right)} \log\left({\left(b + c\right)} x + a\right)}{b + c}"," ",0,"(((b + c)*x + a)*log((b + c)*x + a)^3 - 3*((b + c)*x + a)*log((b + c)*x + a)^2 - 6*(b + c)*x + 6*((b + c)*x + a)*log((b + c)*x + a))/(b + c)","A",0
70,1,32,0,0.794612," ","integrate(log(c*(e*x+d)^n),x, algorithm=""fricas"")","-\frac{e n x - e x \log\left(c\right) - {\left(e n x + d n\right)} \log\left(e x + d\right)}{e}"," ",0,"-(e*n*x - e*x*log(c) - (e*n*x + d*n)*log(e*x + d))/e","A",0
71,1,27,0,1.133579," ","integrate(log(-g*(e*x+d)/(-d*g+e*f))/(g*x+f),x, algorithm=""fricas"")","-\frac{{\rm Li}_2\left(\frac{e g x + d g}{e f - d g} + 1\right)}{g}"," ",0,"-dilog((e*g*x + d*g)/(e*f - d*g) + 1)/g","A",0
72,1,14,0,0.916805," ","integrate((a+b*log(c*(1/c+e*x)))/x,x, algorithm=""fricas"")","-b {\rm Li}_2\left(-c e x\right) + a \log\left(x\right)"," ",0,"-b*dilog(-c*e*x) + a*log(x)","A",0
73,0,0,0,0.833566," ","integrate(log(e*x+3)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(e x + 3\right)}{x}, x\right)"," ",0,"integral(log(e*x + 3)/x, x)","F",0
74,0,0,0,0.882082," ","integrate(log(e*x+2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(e x + 2\right)}{x}, x\right)"," ",0,"integral(log(e*x + 2)/x, x)","F",0
75,1,7,0,0.788834," ","integrate(log(e*x+1)/x,x, algorithm=""fricas"")","-{\rm Li}_2\left(-e x\right)"," ",0,"-dilog(-e*x)","A",0
76,1,8,0,0.880793," ","integrate(log(e*x)/x,x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(e x\right)^{2}"," ",0,"1/2*log(e*x)^2","A",0
77,0,0,0,0.999442," ","integrate(log(e*x-1)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(e x - 1\right)}{x}, x\right)"," ",0,"integral(log(e*x - 1)/x, x)","F",0
78,0,0,0,1.104676," ","integrate(log(e*x-2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(e x - 2\right)}{x}, x\right)"," ",0,"integral(log(e*x - 2)/x, x)","F",0
79,0,0,0,0.919466," ","integrate((a+b*log(e*x+3))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(e x + 3\right) + a}{x}, x\right)"," ",0,"integral((b*log(e*x + 3) + a)/x, x)","F",0
80,0,0,0,0.735909," ","integrate((a+b*log(e*x+2))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(e x + 2\right) + a}{x}, x\right)"," ",0,"integral((b*log(e*x + 2) + a)/x, x)","F",0
81,1,13,0,0.814404," ","integrate((a+b*log(e*x+1))/x,x, algorithm=""fricas"")","-b {\rm Li}_2\left(-e x\right) + a \log\left(x\right)"," ",0,"-b*dilog(-e*x) + a*log(x)","A",0
82,1,16,0,0.846826," ","integrate((a+b*log(e*x))/x,x, algorithm=""fricas"")","\frac{1}{2} \, b \log\left(e x\right)^{2} + a \log\left(e x\right)"," ",0,"1/2*b*log(e*x)^2 + a*log(e*x)","A",0
83,0,0,0,0.733580," ","integrate((a+b*log(e*x-1))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(e x - 1\right) + a}{x}, x\right)"," ",0,"integral((b*log(e*x - 1) + a)/x, x)","F",0
84,0,0,0,0.515490," ","integrate((a+b*log(e*x-2))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(e x - 2\right) + a}{x}, x\right)"," ",0,"integral((b*log(e*x - 2) + a)/x, x)","F",0
85,1,179,0,0.895711," ","integrate(x^2*log(c*(b*x+a)^n)^2,x, algorithm=""fricas"")","\frac{4 \, b^{3} n^{2} x^{3} + 18 \, b^{3} x^{3} \log\left(c\right)^{2} - 15 \, a b^{2} n^{2} x^{2} + 66 \, a^{2} b n^{2} x + 18 \, {\left(b^{3} n^{2} x^{3} + a^{3} n^{2}\right)} \log\left(b x + a\right)^{2} - 6 \, {\left(2 \, b^{3} n^{2} x^{3} - 3 \, a b^{2} n^{2} x^{2} + 6 \, a^{2} b n^{2} x + 11 \, a^{3} n^{2} - 6 \, {\left(b^{3} n x^{3} + a^{3} n\right)} \log\left(c\right)\right)} \log\left(b x + a\right) - 6 \, {\left(2 \, b^{3} n x^{3} - 3 \, a b^{2} n x^{2} + 6 \, a^{2} b n x\right)} \log\left(c\right)}{54 \, b^{3}}"," ",0,"1/54*(4*b^3*n^2*x^3 + 18*b^3*x^3*log(c)^2 - 15*a*b^2*n^2*x^2 + 66*a^2*b*n^2*x + 18*(b^3*n^2*x^3 + a^3*n^2)*log(b*x + a)^2 - 6*(2*b^3*n^2*x^3 - 3*a*b^2*n^2*x^2 + 6*a^2*b*n^2*x + 11*a^3*n^2 - 6*(b^3*n*x^3 + a^3*n)*log(c))*log(b*x + a) - 6*(2*b^3*n*x^3 - 3*a*b^2*n*x^2 + 6*a^2*b*n*x)*log(c))/b^3","A",0
86,0,0,0,0.888224," ","integrate(log(c*(b*x+a)^n)^2/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(b x + a\right)}^{n} c\right)^{2}}{x^{4}}, x\right)"," ",0,"integral(log((b*x + a)^n*c)^2/x^4, x)","F",0
87,1,341,0,0.937663," ","integrate(x^2*log(c*(b*x+a)^n)^3,x, algorithm=""fricas"")","-\frac{8 \, b^{3} n^{3} x^{3} - 36 \, b^{3} x^{3} \log\left(c\right)^{3} - 57 \, a b^{2} n^{3} x^{2} + 510 \, a^{2} b n^{3} x - 36 \, {\left(b^{3} n^{3} x^{3} + a^{3} n^{3}\right)} \log\left(b x + a\right)^{3} + 18 \, {\left(2 \, b^{3} n^{3} x^{3} - 3 \, a b^{2} n^{3} x^{2} + 6 \, a^{2} b n^{3} x + 11 \, a^{3} n^{3} - 6 \, {\left(b^{3} n^{2} x^{3} + a^{3} n^{2}\right)} \log\left(c\right)\right)} \log\left(b x + a\right)^{2} + 18 \, {\left(2 \, b^{3} n x^{3} - 3 \, a b^{2} n x^{2} + 6 \, a^{2} b n x\right)} \log\left(c\right)^{2} - 6 \, {\left(4 \, b^{3} n^{3} x^{3} - 15 \, a b^{2} n^{3} x^{2} + 66 \, a^{2} b n^{3} x + 85 \, a^{3} n^{3} + 18 \, {\left(b^{3} n x^{3} + a^{3} n\right)} \log\left(c\right)^{2} - 6 \, {\left(2 \, b^{3} n^{2} x^{3} - 3 \, a b^{2} n^{2} x^{2} + 6 \, a^{2} b n^{2} x + 11 \, a^{3} n^{2}\right)} \log\left(c\right)\right)} \log\left(b x + a\right) - 6 \, {\left(4 \, b^{3} n^{2} x^{3} - 15 \, a b^{2} n^{2} x^{2} + 66 \, a^{2} b n^{2} x\right)} \log\left(c\right)}{108 \, b^{3}}"," ",0,"-1/108*(8*b^3*n^3*x^3 - 36*b^3*x^3*log(c)^3 - 57*a*b^2*n^3*x^2 + 510*a^2*b*n^3*x - 36*(b^3*n^3*x^3 + a^3*n^3)*log(b*x + a)^3 + 18*(2*b^3*n^3*x^3 - 3*a*b^2*n^3*x^2 + 6*a^2*b*n^3*x + 11*a^3*n^3 - 6*(b^3*n^2*x^3 + a^3*n^2)*log(c))*log(b*x + a)^2 + 18*(2*b^3*n*x^3 - 3*a*b^2*n*x^2 + 6*a^2*b*n*x)*log(c)^2 - 6*(4*b^3*n^3*x^3 - 15*a*b^2*n^3*x^2 + 66*a^2*b*n^3*x + 85*a^3*n^3 + 18*(b^3*n*x^3 + a^3*n)*log(c)^2 - 6*(2*b^3*n^2*x^3 - 3*a*b^2*n^2*x^2 + 6*a^2*b*n^2*x + 11*a^3*n^2)*log(c))*log(b*x + a) - 6*(4*b^3*n^2*x^3 - 15*a*b^2*n^2*x^2 + 66*a^2*b*n^2*x)*log(c))/b^3","A",0
88,1,305,0,0.876498," ","integrate((g*x+f)^3/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","\frac{{\left(g^{3} \operatorname{log\_integral}\left({\left(e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}\right)} e^{\left(\frac{4 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}\right) + 3 \, {\left(e f g^{2} - d g^{3}\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)} \operatorname{log\_integral}\left({\left(e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}\right)} e^{\left(\frac{3 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}\right) + 3 \, {\left(e^{2} f^{2} g - 2 \, d e f g^{2} + d^{2} g^{3}\right)} e^{\left(\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)} \operatorname{log\_integral}\left({\left(e^{2} x^{2} + 2 \, d e x + d^{2}\right)} e^{\left(\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}\right) + {\left(e^{3} f^{3} - 3 \, d e^{2} f^{2} g + 3 \, d^{2} e f g^{2} - d^{3} g^{3}\right)} e^{\left(\frac{3 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)} \operatorname{log\_integral}\left({\left(e x + d\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)}\right)\right)} e^{\left(-\frac{4 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}}{b e^{4} n}"," ",0,"(g^3*log_integral((e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4)*e^(4*(b*log(c) + a)/(b*n))) + 3*(e*f*g^2 - d*g^3)*e^((b*log(c) + a)/(b*n))*log_integral((e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3)*e^(3*(b*log(c) + a)/(b*n))) + 3*(e^2*f^2*g - 2*d*e*f*g^2 + d^2*g^3)*e^(2*(b*log(c) + a)/(b*n))*log_integral((e^2*x^2 + 2*d*e*x + d^2)*e^(2*(b*log(c) + a)/(b*n))) + (e^3*f^3 - 3*d*e^2*f^2*g + 3*d^2*e*f*g^2 - d^3*g^3)*e^(3*(b*log(c) + a)/(b*n))*log_integral((e*x + d)*e^((b*log(c) + a)/(b*n))))*e^(-4*(b*log(c) + a)/(b*n))/(b*e^4*n)","A",0
89,1,192,0,0.818787," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","\frac{{\left(g^{2} \operatorname{log\_integral}\left({\left(e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}\right)} e^{\left(\frac{3 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}\right) + 2 \, {\left(e f g - d g^{2}\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)} \operatorname{log\_integral}\left({\left(e^{2} x^{2} + 2 \, d e x + d^{2}\right)} e^{\left(\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}\right) + {\left(e^{2} f^{2} - 2 \, d e f g + d^{2} g^{2}\right)} e^{\left(\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)} \operatorname{log\_integral}\left({\left(e x + d\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)}\right)\right)} e^{\left(-\frac{3 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}}{b e^{3} n}"," ",0,"(g^2*log_integral((e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3)*e^(3*(b*log(c) + a)/(b*n))) + 2*(e*f*g - d*g^2)*e^((b*log(c) + a)/(b*n))*log_integral((e^2*x^2 + 2*d*e*x + d^2)*e^(2*(b*log(c) + a)/(b*n))) + (e^2*f^2 - 2*d*e*f*g + d^2*g^2)*e^(2*(b*log(c) + a)/(b*n))*log_integral((e*x + d)*e^((b*log(c) + a)/(b*n))))*e^(-3*(b*log(c) + a)/(b*n))/(b*e^3*n)","A",0
90,1,105,0,1.011046," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","\frac{{\left({\left(e f - d g\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)} \operatorname{log\_integral}\left({\left(e x + d\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)}\right) + g \operatorname{log\_integral}\left({\left(e^{2} x^{2} + 2 \, d e x + d^{2}\right)} e^{\left(\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}\right)\right)} e^{\left(-\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}}{b e^{2} n}"," ",0,"((e*f - d*g)*e^((b*log(c) + a)/(b*n))*log_integral((e*x + d)*e^((b*log(c) + a)/(b*n))) + g*log_integral((e^2*x^2 + 2*d*e*x + d^2)*e^(2*(b*log(c) + a)/(b*n))))*e^(-2*(b*log(c) + a)/(b*n))/(b*e^2*n)","A",0
91,1,46,0,1.078785," ","integrate(1/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","\frac{e^{\left(-\frac{b \log\left(c\right) + a}{b n}\right)} \operatorname{log\_integral}\left({\left(e x + d\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)}\right)}{b e n}"," ",0,"e^(-(b*log(c) + a)/(b*n))*log_integral((e*x + d)*e^((b*log(c) + a)/(b*n)))/(b*e*n)","A",0
92,0,0,0,0.939132," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a g x + a f + {\left(b g x + b f\right)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral(1/(a*g*x + a*f + (b*g*x + b*f)*log((e*x + d)^n*c)), x)","F",0
93,0,0,0,1.298748," ","integrate(1/(g*x+f)^2/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{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)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral(1/(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)*log((e*x + d)^n*c)), x)","F",0
94,1,681,0,1.025702," ","integrate((g*x+f)^3/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","\frac{{\left(9 \, {\left(a e f g^{2} - a d g^{3} + {\left(b e f g^{2} - b d g^{3}\right)} n \log\left(e x + d\right) + {\left(b e f g^{2} - b d g^{3}\right)} \log\left(c\right)\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)} \operatorname{log\_integral}\left({\left(e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}\right)} e^{\left(\frac{3 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}\right) + 6 \, {\left(a e^{2} f^{2} g - 2 \, a d e f g^{2} + a d^{2} g^{3} + {\left(b e^{2} f^{2} g - 2 \, b d e f g^{2} + b d^{2} g^{3}\right)} n \log\left(e x + d\right) + {\left(b e^{2} f^{2} g - 2 \, b d e f g^{2} + b d^{2} g^{3}\right)} \log\left(c\right)\right)} e^{\left(\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)} \operatorname{log\_integral}\left({\left(e^{2} x^{2} + 2 \, d e x + d^{2}\right)} e^{\left(\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}\right) + {\left(a e^{3} f^{3} - 3 \, a d e^{2} f^{2} g + 3 \, a d^{2} e f g^{2} - a d^{3} g^{3} + {\left(b e^{3} f^{3} - 3 \, b d e^{2} f^{2} g + 3 \, b d^{2} e f g^{2} - b d^{3} g^{3}\right)} n \log\left(e x + d\right) + {\left(b e^{3} f^{3} - 3 \, b d e^{2} f^{2} g + 3 \, b d^{2} e f g^{2} - b d^{3} g^{3}\right)} \log\left(c\right)\right)} e^{\left(\frac{3 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)} \operatorname{log\_integral}\left({\left(e x + d\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)}\right) - {\left(b e^{4} g^{3} n x^{4} + b d e^{3} f^{3} n + {\left(3 \, b e^{4} f g^{2} + b d e^{3} g^{3}\right)} n x^{3} + 3 \, {\left(b e^{4} f^{2} g + b d e^{3} f g^{2}\right)} n x^{2} + {\left(b e^{4} f^{3} + 3 \, b d e^{3} f^{2} g\right)} n x\right)} e^{\left(\frac{4 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)} + 4 \, {\left(b g^{3} n \log\left(e x + d\right) + b g^{3} \log\left(c\right) + a g^{3}\right)} \operatorname{log\_integral}\left({\left(e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}\right)} e^{\left(\frac{4 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}\right)\right)} e^{\left(-\frac{4 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}}{b^{3} e^{4} n^{3} \log\left(e x + d\right) + b^{3} e^{4} n^{2} \log\left(c\right) + a b^{2} e^{4} n^{2}}"," ",0,"(9*(a*e*f*g^2 - a*d*g^3 + (b*e*f*g^2 - b*d*g^3)*n*log(e*x + d) + (b*e*f*g^2 - b*d*g^3)*log(c))*e^((b*log(c) + a)/(b*n))*log_integral((e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3)*e^(3*(b*log(c) + a)/(b*n))) + 6*(a*e^2*f^2*g - 2*a*d*e*f*g^2 + a*d^2*g^3 + (b*e^2*f^2*g - 2*b*d*e*f*g^2 + b*d^2*g^3)*n*log(e*x + d) + (b*e^2*f^2*g - 2*b*d*e*f*g^2 + b*d^2*g^3)*log(c))*e^(2*(b*log(c) + a)/(b*n))*log_integral((e^2*x^2 + 2*d*e*x + d^2)*e^(2*(b*log(c) + a)/(b*n))) + (a*e^3*f^3 - 3*a*d*e^2*f^2*g + 3*a*d^2*e*f*g^2 - a*d^3*g^3 + (b*e^3*f^3 - 3*b*d*e^2*f^2*g + 3*b*d^2*e*f*g^2 - b*d^3*g^3)*n*log(e*x + d) + (b*e^3*f^3 - 3*b*d*e^2*f^2*g + 3*b*d^2*e*f*g^2 - b*d^3*g^3)*log(c))*e^(3*(b*log(c) + a)/(b*n))*log_integral((e*x + d)*e^((b*log(c) + a)/(b*n))) - (b*e^4*g^3*n*x^4 + b*d*e^3*f^3*n + (3*b*e^4*f*g^2 + b*d*e^3*g^3)*n*x^3 + 3*(b*e^4*f^2*g + b*d*e^3*f*g^2)*n*x^2 + (b*e^4*f^3 + 3*b*d*e^3*f^2*g)*n*x)*e^(4*(b*log(c) + a)/(b*n)) + 4*(b*g^3*n*log(e*x + d) + b*g^3*log(c) + a*g^3)*log_integral((e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4)*e^(4*(b*log(c) + a)/(b*n))))*e^(-4*(b*log(c) + a)/(b*n))/(b^3*e^4*n^3*log(e*x + d) + b^3*e^4*n^2*log(c) + a*b^2*e^4*n^2)","A",0
95,1,433,0,1.053326," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","\frac{{\left(4 \, {\left(a e f g - a d g^{2} + {\left(b e f g - b d g^{2}\right)} n \log\left(e x + d\right) + {\left(b e f g - b d g^{2}\right)} \log\left(c\right)\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)} \operatorname{log\_integral}\left({\left(e^{2} x^{2} + 2 \, d e x + d^{2}\right)} e^{\left(\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}\right) + {\left(a e^{2} f^{2} - 2 \, a d e f g + a d^{2} g^{2} + {\left(b e^{2} f^{2} - 2 \, b d e f g + b d^{2} g^{2}\right)} n \log\left(e x + d\right) + {\left(b e^{2} f^{2} - 2 \, b d e f g + b d^{2} g^{2}\right)} \log\left(c\right)\right)} e^{\left(\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)} \operatorname{log\_integral}\left({\left(e x + d\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)}\right) - {\left(b e^{3} g^{2} n x^{3} + b d e^{2} f^{2} n + {\left(2 \, b e^{3} f g + b d e^{2} g^{2}\right)} n x^{2} + {\left(b e^{3} f^{2} + 2 \, b d e^{2} f g\right)} n x\right)} e^{\left(\frac{3 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)} + 3 \, {\left(b g^{2} n \log\left(e x + d\right) + b g^{2} \log\left(c\right) + a g^{2}\right)} \operatorname{log\_integral}\left({\left(e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}\right)} e^{\left(\frac{3 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}\right)\right)} e^{\left(-\frac{3 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}}{b^{3} e^{3} n^{3} \log\left(e x + d\right) + b^{3} e^{3} n^{2} \log\left(c\right) + a b^{2} e^{3} n^{2}}"," ",0,"(4*(a*e*f*g - a*d*g^2 + (b*e*f*g - b*d*g^2)*n*log(e*x + d) + (b*e*f*g - b*d*g^2)*log(c))*e^((b*log(c) + a)/(b*n))*log_integral((e^2*x^2 + 2*d*e*x + d^2)*e^(2*(b*log(c) + a)/(b*n))) + (a*e^2*f^2 - 2*a*d*e*f*g + a*d^2*g^2 + (b*e^2*f^2 - 2*b*d*e*f*g + b*d^2*g^2)*n*log(e*x + d) + (b*e^2*f^2 - 2*b*d*e*f*g + b*d^2*g^2)*log(c))*e^(2*(b*log(c) + a)/(b*n))*log_integral((e*x + d)*e^((b*log(c) + a)/(b*n))) - (b*e^3*g^2*n*x^3 + b*d*e^2*f^2*n + (2*b*e^3*f*g + b*d*e^2*g^2)*n*x^2 + (b*e^3*f^2 + 2*b*d*e^2*f*g)*n*x)*e^(3*(b*log(c) + a)/(b*n)) + 3*(b*g^2*n*log(e*x + d) + b*g^2*log(c) + a*g^2)*log_integral((e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3)*e^(3*(b*log(c) + a)/(b*n))))*e^(-3*(b*log(c) + a)/(b*n))/(b^3*e^3*n^3*log(e*x + d) + b^3*e^3*n^2*log(c) + a*b^2*e^3*n^2)","A",0
96,1,239,0,1.096094," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","\frac{{\left({\left(a e f - a d g + {\left(b e f - b d g\right)} n \log\left(e x + d\right) + {\left(b e f - b d g\right)} \log\left(c\right)\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)} \operatorname{log\_integral}\left({\left(e x + d\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)}\right) - {\left(b e^{2} g n x^{2} + b d e f n + {\left(b e^{2} f + b d e g\right)} n x\right)} e^{\left(\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)} + 2 \, {\left(b g n \log\left(e x + d\right) + b g \log\left(c\right) + a g\right)} \operatorname{log\_integral}\left({\left(e^{2} x^{2} + 2 \, d e x + d^{2}\right)} e^{\left(\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}\right)\right)} e^{\left(-\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}}{b^{3} e^{2} n^{3} \log\left(e x + d\right) + b^{3} e^{2} n^{2} \log\left(c\right) + a b^{2} e^{2} n^{2}}"," ",0,"((a*e*f - a*d*g + (b*e*f - b*d*g)*n*log(e*x + d) + (b*e*f - b*d*g)*log(c))*e^((b*log(c) + a)/(b*n))*log_integral((e*x + d)*e^((b*log(c) + a)/(b*n))) - (b*e^2*g*n*x^2 + b*d*e*f*n + (b*e^2*f + b*d*e*g)*n*x)*e^(2*(b*log(c) + a)/(b*n)) + 2*(b*g*n*log(e*x + d) + b*g*log(c) + a*g)*log_integral((e^2*x^2 + 2*d*e*x + d^2)*e^(2*(b*log(c) + a)/(b*n))))*e^(-2*(b*log(c) + a)/(b*n))/(b^3*e^2*n^3*log(e*x + d) + b^3*e^2*n^2*log(c) + a*b^2*e^2*n^2)","A",0
97,1,117,0,1.189559," ","integrate(1/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","-\frac{{\left({\left(b e n x + b d n\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)} - {\left(b n \log\left(e x + d\right) + b \log\left(c\right) + a\right)} \operatorname{log\_integral}\left({\left(e x + d\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)}\right)\right)} e^{\left(-\frac{b \log\left(c\right) + a}{b n}\right)}}{b^{3} e n^{3} \log\left(e x + d\right) + b^{3} e n^{2} \log\left(c\right) + a b^{2} e n^{2}}"," ",0,"-((b*e*n*x + b*d*n)*e^((b*log(c) + a)/(b*n)) - (b*n*log(e*x + d) + b*log(c) + a)*log_integral((e*x + d)*e^((b*log(c) + a)/(b*n))))*e^(-(b*log(c) + a)/(b*n))/(b^3*e*n^3*log(e*x + d) + b^3*e*n^2*log(c) + a*b^2*e*n^2)","A",0
98,0,0,0,1.171688," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} g x + a^{2} f + {\left(b^{2} g x + b^{2} f\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, {\left(a b g x + a b f\right)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral(1/(a^2*g*x + a^2*f + (b^2*g*x + b^2*f)*log((e*x + d)^n*c)^2 + 2*(a*b*g*x + a*b*f)*log((e*x + d)^n*c)), x)","F",0
99,0,0,0,1.161266," ","integrate(1/(g*x+f)^2/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} g^{2} x^{2} + 2 \, a^{2} f g x + a^{2} f^{2} + {\left(b^{2} g^{2} x^{2} + 2 \, b^{2} f g x + b^{2} f^{2}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, {\left(a b g^{2} x^{2} + 2 \, a b f g x + a b f^{2}\right)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral(1/(a^2*g^2*x^2 + 2*a^2*f*g*x + a^2*f^2 + (b^2*g^2*x^2 + 2*b^2*f*g*x + b^2*f^2)*log((e*x + d)^n*c)^2 + 2*(a*b*g^2*x^2 + 2*a*b*f*g*x + a*b*f^2)*log((e*x + d)^n*c)), x)","F",0
100,1,1090,0,1.017185," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""fricas"")","\frac{{\left(8 \, {\left(a^{2} e f g - a^{2} d g^{2} + {\left(b^{2} e f g - b^{2} d g^{2}\right)} n^{2} \log\left(e x + d\right)^{2} + {\left(b^{2} e f g - b^{2} d g^{2}\right)} \log\left(c\right)^{2} + 2 \, {\left({\left(b^{2} e f g - b^{2} d g^{2}\right)} n \log\left(c\right) + {\left(a b e f g - a b d g^{2}\right)} n\right)} \log\left(e x + d\right) + 2 \, {\left(a b e f g - a b d g^{2}\right)} \log\left(c\right)\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)} \operatorname{log\_integral}\left({\left(e^{2} x^{2} + 2 \, d e x + d^{2}\right)} e^{\left(\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}\right) + {\left(a^{2} e^{2} f^{2} - 2 \, a^{2} d e f g + a^{2} d^{2} g^{2} + {\left(b^{2} e^{2} f^{2} - 2 \, b^{2} d e f g + b^{2} d^{2} g^{2}\right)} n^{2} \log\left(e x + d\right)^{2} + {\left(b^{2} e^{2} f^{2} - 2 \, b^{2} d e f g + b^{2} d^{2} g^{2}\right)} \log\left(c\right)^{2} + 2 \, {\left({\left(b^{2} e^{2} f^{2} - 2 \, b^{2} d e f g + b^{2} d^{2} g^{2}\right)} n \log\left(c\right) + {\left(a b e^{2} f^{2} - 2 \, a b d e f g + a b d^{2} g^{2}\right)} n\right)} \log\left(e x + d\right) + 2 \, {\left(a b e^{2} f^{2} - 2 \, a b d e f g + a b d^{2} g^{2}\right)} \log\left(c\right)\right)} e^{\left(\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)} \operatorname{log\_integral}\left({\left(e x + d\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)}\right) - {\left(b^{2} d e^{2} f^{2} n^{2} + {\left(b^{2} e^{3} g^{2} n^{2} + 3 \, a b e^{3} g^{2} n\right)} x^{3} + {\left({\left(2 \, b^{2} e^{3} f g + b^{2} d e^{2} g^{2}\right)} n^{2} + {\left(4 \, a b e^{3} f g + 5 \, a b d e^{2} g^{2}\right)} n\right)} x^{2} + {\left(a b d e^{2} f^{2} + 2 \, a b d^{2} e f g\right)} n + {\left({\left(b^{2} e^{3} f^{2} + 2 \, b^{2} d e^{2} f g\right)} n^{2} + {\left(a b e^{3} f^{2} + 6 \, a b d e^{2} f g + 2 \, a b d^{2} e g^{2}\right)} n\right)} x + {\left(3 \, b^{2} e^{3} g^{2} n^{2} x^{3} + {\left(4 \, b^{2} e^{3} f g + 5 \, b^{2} d e^{2} g^{2}\right)} n^{2} x^{2} + {\left(b^{2} e^{3} f^{2} + 6 \, b^{2} d e^{2} f g + 2 \, b^{2} d^{2} e g^{2}\right)} n^{2} x + {\left(b^{2} d e^{2} f^{2} + 2 \, b^{2} d^{2} e f g\right)} n^{2}\right)} \log\left(e x + d\right) + {\left(3 \, b^{2} e^{3} g^{2} n x^{3} + {\left(4 \, b^{2} e^{3} f g + 5 \, b^{2} d e^{2} g^{2}\right)} n x^{2} + {\left(b^{2} e^{3} f^{2} + 6 \, b^{2} d e^{2} f g + 2 \, b^{2} d^{2} e g^{2}\right)} n x + {\left(b^{2} d e^{2} f^{2} + 2 \, b^{2} d^{2} e f g\right)} n\right)} \log\left(c\right)\right)} e^{\left(\frac{3 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)} + 9 \, {\left(b^{2} g^{2} n^{2} \log\left(e x + d\right)^{2} + b^{2} g^{2} \log\left(c\right)^{2} + 2 \, a b g^{2} \log\left(c\right) + a^{2} g^{2} + 2 \, {\left(b^{2} g^{2} n \log\left(c\right) + a b g^{2} n\right)} \log\left(e x + d\right)\right)} \operatorname{log\_integral}\left({\left(e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}\right)} e^{\left(\frac{3 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}\right)\right)} e^{\left(-\frac{3 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}}{2 \, {\left(b^{5} e^{3} n^{5} \log\left(e x + d\right)^{2} + b^{5} e^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} e^{3} n^{3} \log\left(c\right) + a^{2} b^{3} e^{3} n^{3} + 2 \, {\left(b^{5} e^{3} n^{4} \log\left(c\right) + a b^{4} e^{3} n^{4}\right)} \log\left(e x + d\right)\right)}}"," ",0,"1/2*(8*(a^2*e*f*g - a^2*d*g^2 + (b^2*e*f*g - b^2*d*g^2)*n^2*log(e*x + d)^2 + (b^2*e*f*g - b^2*d*g^2)*log(c)^2 + 2*((b^2*e*f*g - b^2*d*g^2)*n*log(c) + (a*b*e*f*g - a*b*d*g^2)*n)*log(e*x + d) + 2*(a*b*e*f*g - a*b*d*g^2)*log(c))*e^((b*log(c) + a)/(b*n))*log_integral((e^2*x^2 + 2*d*e*x + d^2)*e^(2*(b*log(c) + a)/(b*n))) + (a^2*e^2*f^2 - 2*a^2*d*e*f*g + a^2*d^2*g^2 + (b^2*e^2*f^2 - 2*b^2*d*e*f*g + b^2*d^2*g^2)*n^2*log(e*x + d)^2 + (b^2*e^2*f^2 - 2*b^2*d*e*f*g + b^2*d^2*g^2)*log(c)^2 + 2*((b^2*e^2*f^2 - 2*b^2*d*e*f*g + b^2*d^2*g^2)*n*log(c) + (a*b*e^2*f^2 - 2*a*b*d*e*f*g + a*b*d^2*g^2)*n)*log(e*x + d) + 2*(a*b*e^2*f^2 - 2*a*b*d*e*f*g + a*b*d^2*g^2)*log(c))*e^(2*(b*log(c) + a)/(b*n))*log_integral((e*x + d)*e^((b*log(c) + a)/(b*n))) - (b^2*d*e^2*f^2*n^2 + (b^2*e^3*g^2*n^2 + 3*a*b*e^3*g^2*n)*x^3 + ((2*b^2*e^3*f*g + b^2*d*e^2*g^2)*n^2 + (4*a*b*e^3*f*g + 5*a*b*d*e^2*g^2)*n)*x^2 + (a*b*d*e^2*f^2 + 2*a*b*d^2*e*f*g)*n + ((b^2*e^3*f^2 + 2*b^2*d*e^2*f*g)*n^2 + (a*b*e^3*f^2 + 6*a*b*d*e^2*f*g + 2*a*b*d^2*e*g^2)*n)*x + (3*b^2*e^3*g^2*n^2*x^3 + (4*b^2*e^3*f*g + 5*b^2*d*e^2*g^2)*n^2*x^2 + (b^2*e^3*f^2 + 6*b^2*d*e^2*f*g + 2*b^2*d^2*e*g^2)*n^2*x + (b^2*d*e^2*f^2 + 2*b^2*d^2*e*f*g)*n^2)*log(e*x + d) + (3*b^2*e^3*g^2*n*x^3 + (4*b^2*e^3*f*g + 5*b^2*d*e^2*g^2)*n*x^2 + (b^2*e^3*f^2 + 6*b^2*d*e^2*f*g + 2*b^2*d^2*e*g^2)*n*x + (b^2*d*e^2*f^2 + 2*b^2*d^2*e*f*g)*n)*log(c))*e^(3*(b*log(c) + a)/(b*n)) + 9*(b^2*g^2*n^2*log(e*x + d)^2 + b^2*g^2*log(c)^2 + 2*a*b*g^2*log(c) + a^2*g^2 + 2*(b^2*g^2*n*log(c) + a*b*g^2*n)*log(e*x + d))*log_integral((e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3)*e^(3*(b*log(c) + a)/(b*n))))*e^(-3*(b*log(c) + a)/(b*n))/(b^5*e^3*n^5*log(e*x + d)^2 + b^5*e^3*n^3*log(c)^2 + 2*a*b^4*e^3*n^3*log(c) + a^2*b^3*e^3*n^3 + 2*(b^5*e^3*n^4*log(c) + a*b^4*e^3*n^4)*log(e*x + d))","B",0
101,1,588,0,0.962811," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""fricas"")","\frac{{\left({\left({\left(b^{2} e f - b^{2} d g\right)} n^{2} \log\left(e x + d\right)^{2} + a^{2} e f - a^{2} d g + {\left(b^{2} e f - b^{2} d g\right)} \log\left(c\right)^{2} + 2 \, {\left({\left(b^{2} e f - b^{2} d g\right)} n \log\left(c\right) + {\left(a b e f - a b d g\right)} n\right)} \log\left(e x + d\right) + 2 \, {\left(a b e f - a b d g\right)} \log\left(c\right)\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)} \operatorname{log\_integral}\left({\left(e x + d\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)}\right) - {\left(b^{2} d e f n^{2} + {\left(b^{2} e^{2} g n^{2} + 2 \, a b e^{2} g n\right)} x^{2} + {\left(a b d e f + a b d^{2} g\right)} n + {\left({\left(b^{2} e^{2} f + b^{2} d e g\right)} n^{2} + {\left(a b e^{2} f + 3 \, a b d e g\right)} n\right)} x + {\left(2 \, b^{2} e^{2} g n^{2} x^{2} + {\left(b^{2} e^{2} f + 3 \, b^{2} d e g\right)} n^{2} x + {\left(b^{2} d e f + b^{2} d^{2} g\right)} n^{2}\right)} \log\left(e x + d\right) + {\left(2 \, b^{2} e^{2} g n x^{2} + {\left(b^{2} e^{2} f + 3 \, b^{2} d e g\right)} n x + {\left(b^{2} d e f + b^{2} d^{2} g\right)} n\right)} \log\left(c\right)\right)} e^{\left(\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)} + 4 \, {\left(b^{2} g n^{2} \log\left(e x + d\right)^{2} + b^{2} g \log\left(c\right)^{2} + 2 \, a b g \log\left(c\right) + a^{2} g + 2 \, {\left(b^{2} g n \log\left(c\right) + a b g n\right)} \log\left(e x + d\right)\right)} \operatorname{log\_integral}\left({\left(e^{2} x^{2} + 2 \, d e x + d^{2}\right)} e^{\left(\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}\right)\right)} e^{\left(-\frac{2 \, {\left(b \log\left(c\right) + a\right)}}{b n}\right)}}{2 \, {\left(b^{5} e^{2} n^{5} \log\left(e x + d\right)^{2} + b^{5} e^{2} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} e^{2} n^{3} \log\left(c\right) + a^{2} b^{3} e^{2} n^{3} + 2 \, {\left(b^{5} e^{2} n^{4} \log\left(c\right) + a b^{4} e^{2} n^{4}\right)} \log\left(e x + d\right)\right)}}"," ",0,"1/2*(((b^2*e*f - b^2*d*g)*n^2*log(e*x + d)^2 + a^2*e*f - a^2*d*g + (b^2*e*f - b^2*d*g)*log(c)^2 + 2*((b^2*e*f - b^2*d*g)*n*log(c) + (a*b*e*f - a*b*d*g)*n)*log(e*x + d) + 2*(a*b*e*f - a*b*d*g)*log(c))*e^((b*log(c) + a)/(b*n))*log_integral((e*x + d)*e^((b*log(c) + a)/(b*n))) - (b^2*d*e*f*n^2 + (b^2*e^2*g*n^2 + 2*a*b*e^2*g*n)*x^2 + (a*b*d*e*f + a*b*d^2*g)*n + ((b^2*e^2*f + b^2*d*e*g)*n^2 + (a*b*e^2*f + 3*a*b*d*e*g)*n)*x + (2*b^2*e^2*g*n^2*x^2 + (b^2*e^2*f + 3*b^2*d*e*g)*n^2*x + (b^2*d*e*f + b^2*d^2*g)*n^2)*log(e*x + d) + (2*b^2*e^2*g*n*x^2 + (b^2*e^2*f + 3*b^2*d*e*g)*n*x + (b^2*d*e*f + b^2*d^2*g)*n)*log(c))*e^(2*(b*log(c) + a)/(b*n)) + 4*(b^2*g*n^2*log(e*x + d)^2 + b^2*g*log(c)^2 + 2*a*b*g*log(c) + a^2*g + 2*(b^2*g*n*log(c) + a*b*g*n)*log(e*x + d))*log_integral((e^2*x^2 + 2*d*e*x + d^2)*e^(2*(b*log(c) + a)/(b*n))))*e^(-2*(b*log(c) + a)/(b*n))/(b^5*e^2*n^5*log(e*x + d)^2 + b^5*e^2*n^3*log(c)^2 + 2*a*b^4*e^2*n^3*log(c) + a^2*b^3*e^2*n^3 + 2*(b^5*e^2*n^4*log(c) + a*b^4*e^2*n^4)*log(e*x + d))","B",0
102,1,263,0,1.294530," ","integrate(1/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""fricas"")","-\frac{{\left({\left(b^{2} d n^{2} + a b d n + {\left(b^{2} e n^{2} + a b e n\right)} x + {\left(b^{2} e n^{2} x + b^{2} d n^{2}\right)} \log\left(e x + d\right) + {\left(b^{2} e n x + b^{2} d n\right)} \log\left(c\right)\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)} - {\left(b^{2} n^{2} \log\left(e x + d\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + a^{2} + 2 \, {\left(b^{2} n \log\left(c\right) + a b n\right)} \log\left(e x + d\right)\right)} \operatorname{log\_integral}\left({\left(e x + d\right)} e^{\left(\frac{b \log\left(c\right) + a}{b n}\right)}\right)\right)} e^{\left(-\frac{b \log\left(c\right) + a}{b n}\right)}}{2 \, {\left(b^{5} e n^{5} \log\left(e x + d\right)^{2} + b^{5} e n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} e n^{3} \log\left(c\right) + a^{2} b^{3} e n^{3} + 2 \, {\left(b^{5} e n^{4} \log\left(c\right) + a b^{4} e n^{4}\right)} \log\left(e x + d\right)\right)}}"," ",0,"-1/2*((b^2*d*n^2 + a*b*d*n + (b^2*e*n^2 + a*b*e*n)*x + (b^2*e*n^2*x + b^2*d*n^2)*log(e*x + d) + (b^2*e*n*x + b^2*d*n)*log(c))*e^((b*log(c) + a)/(b*n)) - (b^2*n^2*log(e*x + d)^2 + b^2*log(c)^2 + 2*a*b*log(c) + a^2 + 2*(b^2*n*log(c) + a*b*n)*log(e*x + d))*log_integral((e*x + d)*e^((b*log(c) + a)/(b*n))))*e^(-(b*log(c) + a)/(b*n))/(b^5*e*n^5*log(e*x + d)^2 + b^5*e*n^3*log(c)^2 + 2*a*b^4*e*n^3*log(c) + a^2*b^3*e*n^3 + 2*(b^5*e*n^4*log(c) + a*b^4*e*n^4)*log(e*x + d))","B",0
103,0,0,0,0.963728," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{3} g x + a^{3} f + {\left(b^{3} g x + b^{3} f\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, {\left(a b^{2} g x + a b^{2} f\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, {\left(a^{2} b g x + a^{2} b f\right)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral(1/(a^3*g*x + a^3*f + (b^3*g*x + b^3*f)*log((e*x + d)^n*c)^3 + 3*(a*b^2*g*x + a*b^2*f)*log((e*x + d)^n*c)^2 + 3*(a^2*b*g*x + a^2*b*f)*log((e*x + d)^n*c)), x)","F",0
104,0,0,0,1.133739," ","integrate(1/(g*x+f)^2/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{3} g^{2} x^{2} + 2 \, a^{3} f g x + a^{3} f^{2} + {\left(b^{3} g^{2} x^{2} + 2 \, b^{3} f g x + b^{3} f^{2}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, {\left(a b^{2} g^{2} x^{2} + 2 \, a b^{2} f g x + a b^{2} f^{2}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, {\left(a^{2} b g^{2} x^{2} + 2 \, a^{2} b f g x + a^{2} b f^{2}\right)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral(1/(a^3*g^2*x^2 + 2*a^3*f*g*x + a^3*f^2 + (b^3*g^2*x^2 + 2*b^3*f*g*x + b^3*f^2)*log((e*x + d)^n*c)^3 + 3*(a*b^2*g^2*x^2 + 2*a*b^2*f*g*x + a*b^2*f^2)*log((e*x + d)^n*c)^2 + 3*(a^2*b*g^2*x^2 + 2*a^2*b*f*g*x + a^2*b*f^2)*log((e*x + d)^n*c)), x)","F",0
105,-2,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^(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((g*x+f)*(a+b*log(c*(e*x+d)^n))^(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((a+b*log(c*(e*x+d)^n))^(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((a+b*log(c*(e*x+d)^n))^(1/2)/(g*x+f),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((a+b*log(c*(e*x+d)^n))^(1/2)/(g*x+f)^2,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((a+b*log(c*(e*x+d)^n))^(1/2)/(g*x+f)^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
111,-2,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^(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
112,-2,0,0,0.000000," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^(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
113,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(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
114,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(3/2)/(g*x+f),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
115,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(3/2)/(g*x+f)^2,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
116,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(3/2)/(g*x+f)^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
117,-2,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^(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
118,-2,0,0,0.000000," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^(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
119,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(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
120,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(5/2)/(g*x+f),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
121,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(5/2)/(g*x+f)^2,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
122,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(5/2)/(g*x+f)^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
123,-2,0,0,0.000000," ","integrate((g*x+f)^3/(a+b*log(c*(e*x+d)^n))^(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
124,-2,0,0,0.000000," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n))^(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
125,-2,0,0,0.000000," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n))^(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
126,-2,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(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
127,-2,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^(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
128,-2,0,0,0.000000," ","integrate((g*x+f)^3/(a+b*log(c*(e*x+d)^n))^(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
129,-2,0,0,0.000000," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n))^(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
130,-2,0,0,0.000000," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n))^(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
131,-2,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(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
132,-2,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^(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
133,-2,0,0,0.000000," ","integrate((g*x+f)^3/(a+b*log(c*(e*x+d)^n))^(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
134,-2,0,0,0.000000," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n))^(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
135,-2,0,0,0.000000," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n))^(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
136,-2,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(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
137,-2,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^(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
138,1,538,0,0.796781," ","integrate((g*x+f)^(3/2)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(15 \, {\left(b e^{2} f^{2} - 2 \, b d e f g + b d^{2} g^{2}\right)} n \sqrt{\frac{e f - d g}{e}} \log\left(\frac{e g x + 2 \, e f - d g + 2 \, \sqrt{g x + f} e \sqrt{\frac{e f - d g}{e}}}{e x + d}\right) + {\left(15 \, a e^{2} f^{2} - 3 \, {\left(2 \, b e^{2} g^{2} n - 5 \, a e^{2} g^{2}\right)} x^{2} - 2 \, {\left(23 \, b e^{2} f^{2} - 35 \, b d e f g + 15 \, b d^{2} g^{2}\right)} n + 2 \, {\left(15 \, a e^{2} f g - {\left(11 \, b e^{2} f g - 5 \, b d e g^{2}\right)} n\right)} x + 15 \, {\left(b e^{2} g^{2} n x^{2} + 2 \, b e^{2} f g n x + b e^{2} f^{2} n\right)} \log\left(e x + d\right) + 15 \, {\left(b e^{2} g^{2} x^{2} + 2 \, b e^{2} f g x + b e^{2} f^{2}\right)} \log\left(c\right)\right)} \sqrt{g x + f}\right)}}{75 \, e^{2} g}, \frac{2 \, {\left(30 \, {\left(b e^{2} f^{2} - 2 \, b d e f g + b d^{2} g^{2}\right)} n \sqrt{-\frac{e f - d g}{e}} \arctan\left(-\frac{\sqrt{g x + f} e \sqrt{-\frac{e f - d g}{e}}}{e f - d g}\right) + {\left(15 \, a e^{2} f^{2} - 3 \, {\left(2 \, b e^{2} g^{2} n - 5 \, a e^{2} g^{2}\right)} x^{2} - 2 \, {\left(23 \, b e^{2} f^{2} - 35 \, b d e f g + 15 \, b d^{2} g^{2}\right)} n + 2 \, {\left(15 \, a e^{2} f g - {\left(11 \, b e^{2} f g - 5 \, b d e g^{2}\right)} n\right)} x + 15 \, {\left(b e^{2} g^{2} n x^{2} + 2 \, b e^{2} f g n x + b e^{2} f^{2} n\right)} \log\left(e x + d\right) + 15 \, {\left(b e^{2} g^{2} x^{2} + 2 \, b e^{2} f g x + b e^{2} f^{2}\right)} \log\left(c\right)\right)} \sqrt{g x + f}\right)}}{75 \, e^{2} g}\right]"," ",0,"[2/75*(15*(b*e^2*f^2 - 2*b*d*e*f*g + b*d^2*g^2)*n*sqrt((e*f - d*g)/e)*log((e*g*x + 2*e*f - d*g + 2*sqrt(g*x + f)*e*sqrt((e*f - d*g)/e))/(e*x + d)) + (15*a*e^2*f^2 - 3*(2*b*e^2*g^2*n - 5*a*e^2*g^2)*x^2 - 2*(23*b*e^2*f^2 - 35*b*d*e*f*g + 15*b*d^2*g^2)*n + 2*(15*a*e^2*f*g - (11*b*e^2*f*g - 5*b*d*e*g^2)*n)*x + 15*(b*e^2*g^2*n*x^2 + 2*b*e^2*f*g*n*x + b*e^2*f^2*n)*log(e*x + d) + 15*(b*e^2*g^2*x^2 + 2*b*e^2*f*g*x + b*e^2*f^2)*log(c))*sqrt(g*x + f))/(e^2*g), 2/75*(30*(b*e^2*f^2 - 2*b*d*e*f*g + b*d^2*g^2)*n*sqrt(-(e*f - d*g)/e)*arctan(-sqrt(g*x + f)*e*sqrt(-(e*f - d*g)/e)/(e*f - d*g)) + (15*a*e^2*f^2 - 3*(2*b*e^2*g^2*n - 5*a*e^2*g^2)*x^2 - 2*(23*b*e^2*f^2 - 35*b*d*e*f*g + 15*b*d^2*g^2)*n + 2*(15*a*e^2*f*g - (11*b*e^2*f*g - 5*b*d*e*g^2)*n)*x + 15*(b*e^2*g^2*n*x^2 + 2*b*e^2*f*g*n*x + b*e^2*f^2*n)*log(e*x + d) + 15*(b*e^2*g^2*x^2 + 2*b*e^2*f*g*x + b*e^2*f^2)*log(c))*sqrt(g*x + f))/(e^2*g)]","A",0
139,1,311,0,1.231269," ","integrate((g*x+f)^(1/2)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","\left[-\frac{2 \, {\left(3 \, {\left(b e f - b d g\right)} n \sqrt{\frac{e f - d g}{e}} \log\left(\frac{e g x + 2 \, e f - d g - 2 \, \sqrt{g x + f} e \sqrt{\frac{e f - d g}{e}}}{e x + d}\right) - {\left(3 \, a e f - 2 \, {\left(4 \, b e f - 3 \, b d g\right)} n - {\left(2 \, b e g n - 3 \, a e g\right)} x + 3 \, {\left(b e g n x + b e f n\right)} \log\left(e x + d\right) + 3 \, {\left(b e g x + b e f\right)} \log\left(c\right)\right)} \sqrt{g x + f}\right)}}{9 \, e g}, \frac{2 \, {\left(6 \, {\left(b e f - b d g\right)} n \sqrt{-\frac{e f - d g}{e}} \arctan\left(-\frac{\sqrt{g x + f} e \sqrt{-\frac{e f - d g}{e}}}{e f - d g}\right) + {\left(3 \, a e f - 2 \, {\left(4 \, b e f - 3 \, b d g\right)} n - {\left(2 \, b e g n - 3 \, a e g\right)} x + 3 \, {\left(b e g n x + b e f n\right)} \log\left(e x + d\right) + 3 \, {\left(b e g x + b e f\right)} \log\left(c\right)\right)} \sqrt{g x + f}\right)}}{9 \, e g}\right]"," ",0,"[-2/9*(3*(b*e*f - b*d*g)*n*sqrt((e*f - d*g)/e)*log((e*g*x + 2*e*f - d*g - 2*sqrt(g*x + f)*e*sqrt((e*f - d*g)/e))/(e*x + d)) - (3*a*e*f - 2*(4*b*e*f - 3*b*d*g)*n - (2*b*e*g*n - 3*a*e*g)*x + 3*(b*e*g*n*x + b*e*f*n)*log(e*x + d) + 3*(b*e*g*x + b*e*f)*log(c))*sqrt(g*x + f))/(e*g), 2/9*(6*(b*e*f - b*d*g)*n*sqrt(-(e*f - d*g)/e)*arctan(-sqrt(g*x + f)*e*sqrt(-(e*f - d*g)/e)/(e*f - d*g)) + (3*a*e*f - 2*(4*b*e*f - 3*b*d*g)*n - (2*b*e*g*n - 3*a*e*g)*x + 3*(b*e*g*n*x + b*e*f*n)*log(e*x + d) + 3*(b*e*g*x + b*e*f)*log(c))*sqrt(g*x + f))/(e*g)]","A",0
140,1,185,0,1.305314," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(b n \sqrt{\frac{e f - d g}{e}} \log\left(\frac{e g x + 2 \, e f - d g + 2 \, \sqrt{g x + f} e \sqrt{\frac{e f - d g}{e}}}{e x + d}\right) + {\left(b n \log\left(e x + d\right) - 2 \, b n + b \log\left(c\right) + a\right)} \sqrt{g x + f}\right)}}{g}, \frac{2 \, {\left(2 \, b n \sqrt{-\frac{e f - d g}{e}} \arctan\left(-\frac{\sqrt{g x + f} e \sqrt{-\frac{e f - d g}{e}}}{e f - d g}\right) + {\left(b n \log\left(e x + d\right) - 2 \, b n + b \log\left(c\right) + a\right)} \sqrt{g x + f}\right)}}{g}\right]"," ",0,"[2*(b*n*sqrt((e*f - d*g)/e)*log((e*g*x + 2*e*f - d*g + 2*sqrt(g*x + f)*e*sqrt((e*f - d*g)/e))/(e*x + d)) + (b*n*log(e*x + d) - 2*b*n + b*log(c) + a)*sqrt(g*x + f))/g, 2*(2*b*n*sqrt(-(e*f - d*g)/e)*arctan(-sqrt(g*x + f)*e*sqrt(-(e*f - d*g)/e)/(e*f - d*g)) + (b*n*log(e*x + d) - 2*b*n + b*log(c) + a)*sqrt(g*x + f))/g]","A",0
141,1,224,0,1.004304," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left({\left(b g n x + b f n\right)} \sqrt{\frac{e}{e f - d g}} \log\left(\frac{e g x + 2 \, e f - d g - 2 \, {\left(e f - d g\right)} \sqrt{g x + f} \sqrt{\frac{e}{e f - d g}}}{e x + d}\right) - {\left(b n \log\left(e x + d\right) + b \log\left(c\right) + a\right)} \sqrt{g x + f}\right)}}{g^{2} x + f g}, -\frac{2 \, {\left(2 \, {\left(b g n x + b f n\right)} \sqrt{-\frac{e}{e f - d g}} \arctan\left(-\frac{{\left(e f - d g\right)} \sqrt{g x + f} \sqrt{-\frac{e}{e f - d g}}}{e g x + e f}\right) + {\left(b n \log\left(e x + d\right) + b \log\left(c\right) + a\right)} \sqrt{g x + f}\right)}}{g^{2} x + f g}\right]"," ",0,"[2*((b*g*n*x + b*f*n)*sqrt(e/(e*f - d*g))*log((e*g*x + 2*e*f - d*g - 2*(e*f - d*g)*sqrt(g*x + f)*sqrt(e/(e*f - d*g)))/(e*x + d)) - (b*n*log(e*x + d) + b*log(c) + a)*sqrt(g*x + f))/(g^2*x + f*g), -2*(2*(b*g*n*x + b*f*n)*sqrt(-e/(e*f - d*g))*arctan(-(e*f - d*g)*sqrt(g*x + f)*sqrt(-e/(e*f - d*g))/(e*g*x + e*f)) + (b*n*log(e*x + d) + b*log(c) + a)*sqrt(g*x + f))/(g^2*x + f*g)]","A",0
142,1,425,0,1.430375," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^(5/2),x, algorithm=""fricas"")","\left[-\frac{2 \, {\left({\left(b e g^{2} n x^{2} + 2 \, b e f g n x + b e f^{2} n\right)} \sqrt{\frac{e}{e f - d g}} \log\left(\frac{e g x + 2 \, e f - d g + 2 \, {\left(e f - d g\right)} \sqrt{g x + f} \sqrt{\frac{e}{e f - d g}}}{e x + d}\right) - {\left(2 \, b e g n x + 2 \, b e f n - a e f + a d g - {\left(b e f - b d g\right)} n \log\left(e x + d\right) - {\left(b e f - b d g\right)} \log\left(c\right)\right)} \sqrt{g x + f}\right)}}{3 \, {\left(e f^{3} g - d f^{2} g^{2} + {\left(e f g^{3} - d g^{4}\right)} x^{2} + 2 \, {\left(e f^{2} g^{2} - d f g^{3}\right)} x\right)}}, -\frac{2 \, {\left(2 \, {\left(b e g^{2} n x^{2} + 2 \, b e f g n x + b e f^{2} n\right)} \sqrt{-\frac{e}{e f - d g}} \arctan\left(-\frac{{\left(e f - d g\right)} \sqrt{g x + f} \sqrt{-\frac{e}{e f - d g}}}{e g x + e f}\right) - {\left(2 \, b e g n x + 2 \, b e f n - a e f + a d g - {\left(b e f - b d g\right)} n \log\left(e x + d\right) - {\left(b e f - b d g\right)} \log\left(c\right)\right)} \sqrt{g x + f}\right)}}{3 \, {\left(e f^{3} g - d f^{2} g^{2} + {\left(e f g^{3} - d g^{4}\right)} x^{2} + 2 \, {\left(e f^{2} g^{2} - d f g^{3}\right)} x\right)}}\right]"," ",0,"[-2/3*((b*e*g^2*n*x^2 + 2*b*e*f*g*n*x + b*e*f^2*n)*sqrt(e/(e*f - d*g))*log((e*g*x + 2*e*f - d*g + 2*(e*f - d*g)*sqrt(g*x + f)*sqrt(e/(e*f - d*g)))/(e*x + d)) - (2*b*e*g*n*x + 2*b*e*f*n - a*e*f + a*d*g - (b*e*f - b*d*g)*n*log(e*x + d) - (b*e*f - b*d*g)*log(c))*sqrt(g*x + f))/(e*f^3*g - d*f^2*g^2 + (e*f*g^3 - d*g^4)*x^2 + 2*(e*f^2*g^2 - d*f*g^3)*x), -2/3*(2*(b*e*g^2*n*x^2 + 2*b*e*f*g*n*x + b*e*f^2*n)*sqrt(-e/(e*f - d*g))*arctan(-(e*f - d*g)*sqrt(g*x + f)*sqrt(-e/(e*f - d*g))/(e*g*x + e*f)) - (2*b*e*g*n*x + 2*b*e*f*n - a*e*f + a*d*g - (b*e*f - b*d*g)*n*log(e*x + d) - (b*e*f - b*d*g)*log(c))*sqrt(g*x + f))/(e*f^3*g - d*f^2*g^2 + (e*f*g^3 - d*g^4)*x^2 + 2*(e*f^2*g^2 - d*f*g^3)*x)]","B",0
143,1,789,0,1.229934," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^(7/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(3 \, {\left(b e^{2} g^{3} n x^{3} + 3 \, b e^{2} f g^{2} n x^{2} + 3 \, b e^{2} f^{2} g n x + b e^{2} f^{3} n\right)} \sqrt{\frac{e}{e f - d g}} \log\left(\frac{e g x + 2 \, e f - d g - 2 \, {\left(e f - d g\right)} \sqrt{g x + f} \sqrt{\frac{e}{e f - d g}}}{e x + d}\right) + {\left(6 \, b e^{2} g^{2} n x^{2} - 3 \, a e^{2} f^{2} + 6 \, a d e f g - 3 \, a d^{2} g^{2} + 2 \, {\left(7 \, b e^{2} f g - b d e g^{2}\right)} n x - 3 \, {\left(b e^{2} f^{2} - 2 \, b d e f g + b d^{2} g^{2}\right)} n \log\left(e x + d\right) + 2 \, {\left(4 \, b e^{2} f^{2} - b d e f g\right)} n - 3 \, {\left(b e^{2} f^{2} - 2 \, b d e f g + b d^{2} g^{2}\right)} \log\left(c\right)\right)} \sqrt{g x + f}\right)}}{15 \, {\left(e^{2} f^{5} g - 2 \, d e f^{4} g^{2} + d^{2} f^{3} g^{3} + {\left(e^{2} f^{2} g^{4} - 2 \, d e f g^{5} + d^{2} g^{6}\right)} x^{3} + 3 \, {\left(e^{2} f^{3} g^{3} - 2 \, d e f^{2} g^{4} + d^{2} f g^{5}\right)} x^{2} + 3 \, {\left(e^{2} f^{4} g^{2} - 2 \, d e f^{3} g^{3} + d^{2} f^{2} g^{4}\right)} x\right)}}, -\frac{2 \, {\left(6 \, {\left(b e^{2} g^{3} n x^{3} + 3 \, b e^{2} f g^{2} n x^{2} + 3 \, b e^{2} f^{2} g n x + b e^{2} f^{3} n\right)} \sqrt{-\frac{e}{e f - d g}} \arctan\left(-\frac{{\left(e f - d g\right)} \sqrt{g x + f} \sqrt{-\frac{e}{e f - d g}}}{e g x + e f}\right) - {\left(6 \, b e^{2} g^{2} n x^{2} - 3 \, a e^{2} f^{2} + 6 \, a d e f g - 3 \, a d^{2} g^{2} + 2 \, {\left(7 \, b e^{2} f g - b d e g^{2}\right)} n x - 3 \, {\left(b e^{2} f^{2} - 2 \, b d e f g + b d^{2} g^{2}\right)} n \log\left(e x + d\right) + 2 \, {\left(4 \, b e^{2} f^{2} - b d e f g\right)} n - 3 \, {\left(b e^{2} f^{2} - 2 \, b d e f g + b d^{2} g^{2}\right)} \log\left(c\right)\right)} \sqrt{g x + f}\right)}}{15 \, {\left(e^{2} f^{5} g - 2 \, d e f^{4} g^{2} + d^{2} f^{3} g^{3} + {\left(e^{2} f^{2} g^{4} - 2 \, d e f g^{5} + d^{2} g^{6}\right)} x^{3} + 3 \, {\left(e^{2} f^{3} g^{3} - 2 \, d e f^{2} g^{4} + d^{2} f g^{5}\right)} x^{2} + 3 \, {\left(e^{2} f^{4} g^{2} - 2 \, d e f^{3} g^{3} + d^{2} f^{2} g^{4}\right)} x\right)}}\right]"," ",0,"[2/15*(3*(b*e^2*g^3*n*x^3 + 3*b*e^2*f*g^2*n*x^2 + 3*b*e^2*f^2*g*n*x + b*e^2*f^3*n)*sqrt(e/(e*f - d*g))*log((e*g*x + 2*e*f - d*g - 2*(e*f - d*g)*sqrt(g*x + f)*sqrt(e/(e*f - d*g)))/(e*x + d)) + (6*b*e^2*g^2*n*x^2 - 3*a*e^2*f^2 + 6*a*d*e*f*g - 3*a*d^2*g^2 + 2*(7*b*e^2*f*g - b*d*e*g^2)*n*x - 3*(b*e^2*f^2 - 2*b*d*e*f*g + b*d^2*g^2)*n*log(e*x + d) + 2*(4*b*e^2*f^2 - b*d*e*f*g)*n - 3*(b*e^2*f^2 - 2*b*d*e*f*g + b*d^2*g^2)*log(c))*sqrt(g*x + f))/(e^2*f^5*g - 2*d*e*f^4*g^2 + d^2*f^3*g^3 + (e^2*f^2*g^4 - 2*d*e*f*g^5 + d^2*g^6)*x^3 + 3*(e^2*f^3*g^3 - 2*d*e*f^2*g^4 + d^2*f*g^5)*x^2 + 3*(e^2*f^4*g^2 - 2*d*e*f^3*g^3 + d^2*f^2*g^4)*x), -2/15*(6*(b*e^2*g^3*n*x^3 + 3*b*e^2*f*g^2*n*x^2 + 3*b*e^2*f^2*g*n*x + b*e^2*f^3*n)*sqrt(-e/(e*f - d*g))*arctan(-(e*f - d*g)*sqrt(g*x + f)*sqrt(-e/(e*f - d*g))/(e*g*x + e*f)) - (6*b*e^2*g^2*n*x^2 - 3*a*e^2*f^2 + 6*a*d*e*f*g - 3*a*d^2*g^2 + 2*(7*b*e^2*f*g - b*d*e*g^2)*n*x - 3*(b*e^2*f^2 - 2*b*d*e*f*g + b*d^2*g^2)*n*log(e*x + d) + 2*(4*b*e^2*f^2 - b*d*e*f*g)*n - 3*(b*e^2*f^2 - 2*b*d*e*f*g + b*d^2*g^2)*log(c))*sqrt(g*x + f))/(e^2*f^5*g - 2*d*e*f^4*g^2 + d^2*f^3*g^3 + (e^2*f^2*g^4 - 2*d*e*f*g^5 + d^2*g^6)*x^3 + 3*(e^2*f^3*g^3 - 2*d*e*f^2*g^4 + d^2*f*g^5)*x^2 + 3*(e^2*f^4*g^2 - 2*d*e*f^3*g^3 + d^2*f^2*g^4)*x)]","B",0
144,1,1252,0,1.381127," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^(9/2),x, algorithm=""fricas"")","\left[-\frac{2 \, {\left(15 \, {\left(b e^{3} g^{4} n x^{4} + 4 \, b e^{3} f g^{3} n x^{3} + 6 \, b e^{3} f^{2} g^{2} n x^{2} + 4 \, b e^{3} f^{3} g n x + b e^{3} f^{4} n\right)} \sqrt{\frac{e}{e f - d g}} \log\left(\frac{e g x + 2 \, e f - d g + 2 \, {\left(e f - d g\right)} \sqrt{g x + f} \sqrt{\frac{e}{e f - d g}}}{e x + d}\right) - {\left(30 \, b e^{3} g^{3} n x^{3} - 15 \, a e^{3} f^{3} + 45 \, a d e^{2} f^{2} g - 45 \, a d^{2} e f g^{2} + 15 \, a d^{3} g^{3} + 10 \, {\left(10 \, b e^{3} f g^{2} - b d e^{2} g^{3}\right)} n x^{2} + 2 \, {\left(58 \, b e^{3} f^{2} g - 16 \, b d e^{2} f g^{2} + 3 \, b d^{2} e g^{3}\right)} n x - 15 \, {\left(b e^{3} f^{3} - 3 \, b d e^{2} f^{2} g + 3 \, b d^{2} e f g^{2} - b d^{3} g^{3}\right)} n \log\left(e x + d\right) + 2 \, {\left(23 \, b e^{3} f^{3} - 11 \, b d e^{2} f^{2} g + 3 \, b d^{2} e f g^{2}\right)} n - 15 \, {\left(b e^{3} f^{3} - 3 \, b d e^{2} f^{2} g + 3 \, b d^{2} e f g^{2} - b d^{3} g^{3}\right)} \log\left(c\right)\right)} \sqrt{g x + f}\right)}}{105 \, {\left(e^{3} f^{7} g - 3 \, d e^{2} f^{6} g^{2} + 3 \, d^{2} e f^{5} g^{3} - d^{3} f^{4} g^{4} + {\left(e^{3} f^{3} g^{5} - 3 \, d e^{2} f^{2} g^{6} + 3 \, d^{2} e f g^{7} - d^{3} g^{8}\right)} x^{4} + 4 \, {\left(e^{3} f^{4} g^{4} - 3 \, d e^{2} f^{3} g^{5} + 3 \, d^{2} e f^{2} g^{6} - d^{3} f g^{7}\right)} x^{3} + 6 \, {\left(e^{3} f^{5} g^{3} - 3 \, d e^{2} f^{4} g^{4} + 3 \, d^{2} e f^{3} g^{5} - d^{3} f^{2} g^{6}\right)} x^{2} + 4 \, {\left(e^{3} f^{6} g^{2} - 3 \, d e^{2} f^{5} g^{3} + 3 \, d^{2} e f^{4} g^{4} - d^{3} f^{3} g^{5}\right)} x\right)}}, -\frac{2 \, {\left(30 \, {\left(b e^{3} g^{4} n x^{4} + 4 \, b e^{3} f g^{3} n x^{3} + 6 \, b e^{3} f^{2} g^{2} n x^{2} + 4 \, b e^{3} f^{3} g n x + b e^{3} f^{4} n\right)} \sqrt{-\frac{e}{e f - d g}} \arctan\left(-\frac{{\left(e f - d g\right)} \sqrt{g x + f} \sqrt{-\frac{e}{e f - d g}}}{e g x + e f}\right) - {\left(30 \, b e^{3} g^{3} n x^{3} - 15 \, a e^{3} f^{3} + 45 \, a d e^{2} f^{2} g - 45 \, a d^{2} e f g^{2} + 15 \, a d^{3} g^{3} + 10 \, {\left(10 \, b e^{3} f g^{2} - b d e^{2} g^{3}\right)} n x^{2} + 2 \, {\left(58 \, b e^{3} f^{2} g - 16 \, b d e^{2} f g^{2} + 3 \, b d^{2} e g^{3}\right)} n x - 15 \, {\left(b e^{3} f^{3} - 3 \, b d e^{2} f^{2} g + 3 \, b d^{2} e f g^{2} - b d^{3} g^{3}\right)} n \log\left(e x + d\right) + 2 \, {\left(23 \, b e^{3} f^{3} - 11 \, b d e^{2} f^{2} g + 3 \, b d^{2} e f g^{2}\right)} n - 15 \, {\left(b e^{3} f^{3} - 3 \, b d e^{2} f^{2} g + 3 \, b d^{2} e f g^{2} - b d^{3} g^{3}\right)} \log\left(c\right)\right)} \sqrt{g x + f}\right)}}{105 \, {\left(e^{3} f^{7} g - 3 \, d e^{2} f^{6} g^{2} + 3 \, d^{2} e f^{5} g^{3} - d^{3} f^{4} g^{4} + {\left(e^{3} f^{3} g^{5} - 3 \, d e^{2} f^{2} g^{6} + 3 \, d^{2} e f g^{7} - d^{3} g^{8}\right)} x^{4} + 4 \, {\left(e^{3} f^{4} g^{4} - 3 \, d e^{2} f^{3} g^{5} + 3 \, d^{2} e f^{2} g^{6} - d^{3} f g^{7}\right)} x^{3} + 6 \, {\left(e^{3} f^{5} g^{3} - 3 \, d e^{2} f^{4} g^{4} + 3 \, d^{2} e f^{3} g^{5} - d^{3} f^{2} g^{6}\right)} x^{2} + 4 \, {\left(e^{3} f^{6} g^{2} - 3 \, d e^{2} f^{5} g^{3} + 3 \, d^{2} e f^{4} g^{4} - d^{3} f^{3} g^{5}\right)} x\right)}}\right]"," ",0,"[-2/105*(15*(b*e^3*g^4*n*x^4 + 4*b*e^3*f*g^3*n*x^3 + 6*b*e^3*f^2*g^2*n*x^2 + 4*b*e^3*f^3*g*n*x + b*e^3*f^4*n)*sqrt(e/(e*f - d*g))*log((e*g*x + 2*e*f - d*g + 2*(e*f - d*g)*sqrt(g*x + f)*sqrt(e/(e*f - d*g)))/(e*x + d)) - (30*b*e^3*g^3*n*x^3 - 15*a*e^3*f^3 + 45*a*d*e^2*f^2*g - 45*a*d^2*e*f*g^2 + 15*a*d^3*g^3 + 10*(10*b*e^3*f*g^2 - b*d*e^2*g^3)*n*x^2 + 2*(58*b*e^3*f^2*g - 16*b*d*e^2*f*g^2 + 3*b*d^2*e*g^3)*n*x - 15*(b*e^3*f^3 - 3*b*d*e^2*f^2*g + 3*b*d^2*e*f*g^2 - b*d^3*g^3)*n*log(e*x + d) + 2*(23*b*e^3*f^3 - 11*b*d*e^2*f^2*g + 3*b*d^2*e*f*g^2)*n - 15*(b*e^3*f^3 - 3*b*d*e^2*f^2*g + 3*b*d^2*e*f*g^2 - b*d^3*g^3)*log(c))*sqrt(g*x + f))/(e^3*f^7*g - 3*d*e^2*f^6*g^2 + 3*d^2*e*f^5*g^3 - d^3*f^4*g^4 + (e^3*f^3*g^5 - 3*d*e^2*f^2*g^6 + 3*d^2*e*f*g^7 - d^3*g^8)*x^4 + 4*(e^3*f^4*g^4 - 3*d*e^2*f^3*g^5 + 3*d^2*e*f^2*g^6 - d^3*f*g^7)*x^3 + 6*(e^3*f^5*g^3 - 3*d*e^2*f^4*g^4 + 3*d^2*e*f^3*g^5 - d^3*f^2*g^6)*x^2 + 4*(e^3*f^6*g^2 - 3*d*e^2*f^5*g^3 + 3*d^2*e*f^4*g^4 - d^3*f^3*g^5)*x), -2/105*(30*(b*e^3*g^4*n*x^4 + 4*b*e^3*f*g^3*n*x^3 + 6*b*e^3*f^2*g^2*n*x^2 + 4*b*e^3*f^3*g*n*x + b*e^3*f^4*n)*sqrt(-e/(e*f - d*g))*arctan(-(e*f - d*g)*sqrt(g*x + f)*sqrt(-e/(e*f - d*g))/(e*g*x + e*f)) - (30*b*e^3*g^3*n*x^3 - 15*a*e^3*f^3 + 45*a*d*e^2*f^2*g - 45*a*d^2*e*f*g^2 + 15*a*d^3*g^3 + 10*(10*b*e^3*f*g^2 - b*d*e^2*g^3)*n*x^2 + 2*(58*b*e^3*f^2*g - 16*b*d*e^2*f*g^2 + 3*b*d^2*e*g^3)*n*x - 15*(b*e^3*f^3 - 3*b*d*e^2*f^2*g + 3*b*d^2*e*f*g^2 - b*d^3*g^3)*n*log(e*x + d) + 2*(23*b*e^3*f^3 - 11*b*d*e^2*f^2*g + 3*b*d^2*e*f*g^2)*n - 15*(b*e^3*f^3 - 3*b*d*e^2*f^2*g + 3*b*d^2*e*f*g^2 - b*d^3*g^3)*log(c))*sqrt(g*x + f))/(e^3*f^7*g - 3*d*e^2*f^6*g^2 + 3*d^2*e*f^5*g^3 - d^3*f^4*g^4 + (e^3*f^3*g^5 - 3*d*e^2*f^2*g^6 + 3*d^2*e*f*g^7 - d^3*g^8)*x^4 + 4*(e^3*f^4*g^4 - 3*d*e^2*f^3*g^5 + 3*d^2*e*f^2*g^6 - d^3*f*g^7)*x^3 + 6*(e^3*f^5*g^3 - 3*d*e^2*f^4*g^4 + 3*d^2*e*f^3*g^5 - d^3*f^2*g^6)*x^2 + 4*(e^3*f^6*g^2 - 3*d*e^2*f^5*g^3 + 3*d^2*e*f^4*g^4 - d^3*f^3*g^5)*x)]","B",0
145,0,0,0,1.056283," ","integrate((g*x+f)^(3/2)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} g x + b^{2} f\right)} \sqrt{g x + f} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, {\left(a b g x + a b f\right)} \sqrt{g x + f} \log\left({\left(e x + d\right)}^{n} c\right) + {\left(a^{2} g x + a^{2} f\right)} \sqrt{g x + f}, x\right)"," ",0,"integral((b^2*g*x + b^2*f)*sqrt(g*x + f)*log((e*x + d)^n*c)^2 + 2*(a*b*g*x + a*b*f)*sqrt(g*x + f)*log((e*x + d)^n*c) + (a^2*g*x + a^2*f)*sqrt(g*x + f), x)","F",0
146,0,0,0,1.302605," ","integrate((g*x+f)^(1/2)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{g x + f} b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, \sqrt{g x + f} a b \log\left({\left(e x + d\right)}^{n} c\right) + \sqrt{g x + f} a^{2}, x\right)"," ",0,"integral(sqrt(g*x + f)*b^2*log((e*x + d)^n*c)^2 + 2*sqrt(g*x + f)*a*b*log((e*x + d)^n*c) + sqrt(g*x + f)*a^2, x)","F",0
147,0,0,0,0.990001," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{g x + f} b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, \sqrt{g x + f} a b \log\left({\left(e x + d\right)}^{n} c\right) + \sqrt{g x + f} a^{2}}{g x + f}, x\right)"," ",0,"integral((sqrt(g*x + f)*b^2*log((e*x + d)^n*c)^2 + 2*sqrt(g*x + f)*a*b*log((e*x + d)^n*c) + sqrt(g*x + f)*a^2)/(g*x + f), x)","F",0
148,0,0,0,1.328483," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{g x + f} b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, \sqrt{g x + f} a b \log\left({\left(e x + d\right)}^{n} c\right) + \sqrt{g x + f} a^{2}}{g^{2} x^{2} + 2 \, f g x + f^{2}}, x\right)"," ",0,"integral((sqrt(g*x + f)*b^2*log((e*x + d)^n*c)^2 + 2*sqrt(g*x + f)*a*b*log((e*x + d)^n*c) + sqrt(g*x + f)*a^2)/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
149,0,0,0,1.174345," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{g x + f} b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, \sqrt{g x + f} a b \log\left({\left(e x + d\right)}^{n} c\right) + \sqrt{g x + f} a^{2}}{g^{3} x^{3} + 3 \, f g^{2} x^{2} + 3 \, f^{2} g x + f^{3}}, x\right)"," ",0,"integral((sqrt(g*x + f)*b^2*log((e*x + d)^n*c)^2 + 2*sqrt(g*x + f)*a*b*log((e*x + d)^n*c) + sqrt(g*x + f)*a^2)/(g^3*x^3 + 3*f*g^2*x^2 + 3*f^2*g*x + f^3), x)","F",0
150,0,0,0,1.656762," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{g x + f} b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, \sqrt{g x + f} a b \log\left({\left(e x + d\right)}^{n} c\right) + \sqrt{g x + f} a^{2}}{g^{4} x^{4} + 4 \, f g^{3} x^{3} + 6 \, f^{2} g^{2} x^{2} + 4 \, f^{3} g x + f^{4}}, x\right)"," ",0,"integral((sqrt(g*x + f)*b^2*log((e*x + d)^n*c)^2 + 2*sqrt(g*x + f)*a*b*log((e*x + d)^n*c) + sqrt(g*x + f)*a^2)/(g^4*x^4 + 4*f*g^3*x^3 + 6*f^2*g^2*x^2 + 4*f^3*g*x + f^4), x)","F",0
151,0,0,0,1.210991," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{g x + f} b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, \sqrt{g x + f} a b \log\left({\left(e x + d\right)}^{n} c\right) + \sqrt{g x + f} a^{2}}{g^{5} x^{5} + 5 \, f g^{4} x^{4} + 10 \, f^{2} g^{3} x^{3} + 10 \, f^{3} g^{2} x^{2} + 5 \, f^{4} g x + f^{5}}, x\right)"," ",0,"integral((sqrt(g*x + f)*b^2*log((e*x + d)^n*c)^2 + 2*sqrt(g*x + f)*a*b*log((e*x + d)^n*c) + sqrt(g*x + f)*a^2)/(g^5*x^5 + 5*f*g^4*x^4 + 10*f^2*g^3*x^3 + 10*f^3*g^2*x^2 + 5*f^4*g*x + f^5), x)","F",0
152,0,0,0,0.678724," ","integrate((g*x+f)^(3/2)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x + f\right)}^{\frac{3}{2}}}{b \log\left({\left(e x + d\right)}^{n} c\right) + a}, x\right)"," ",0,"integral((g*x + f)^(3/2)/(b*log((e*x + d)^n*c) + a), x)","F",0
153,0,0,0,0.828346," ","integrate((g*x+f)^(1/2)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{g x + f}}{b \log\left({\left(e x + d\right)}^{n} c\right) + a}, x\right)"," ",0,"integral(sqrt(g*x + f)/(b*log((e*x + d)^n*c) + a), x)","F",0
154,0,0,0,0.920233," ","integrate(1/(a+b*log(c*(e*x+d)^n))/(g*x+f)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{g x + f}}{a g x + a f + {\left(b g x + b f\right)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral(sqrt(g*x + f)/(a*g*x + a*f + (b*g*x + b*f)*log((e*x + d)^n*c)), x)","F",0
155,0,0,0,0.643406," ","integrate(1/(g*x+f)^(3/2)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{g x + f}}{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)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral(sqrt(g*x + f)/(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)*log((e*x + d)^n*c)), x)","F",0
156,-2,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
157,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2)/(g*x+f)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
158,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2)/(g*x+f)^(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
159,-2,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(a+b*log(c*(e*x+d)^n))^(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
160,-2,0,0,0.000000," ","integrate(1/(g*x+f)^(1/2)/(a+b*log(c*(e*x+d)^n))^(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
161,-2,0,0,0.000000," ","integrate(1/(g*x+f)^(3/2)/(a+b*log(c*(e*x+d)^n))^(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
162,0,0,0,0.953386," ","integrate((g*x+f)^m*(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left({\left(g x + f\right)}^{m} b \log\left({\left(e x + d\right)}^{n} c\right) + {\left(g x + f\right)}^{m} a, x\right)"," ",0,"integral((g*x + f)^m*b*log((e*x + d)^n*c) + (g*x + f)^m*a, x)","F",0
163,0,0,0,0.793635," ","integrate((g*x+f)^m/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x + f\right)}^{m}}{b \log\left({\left(e x + d\right)}^{n} c\right) + a}, x\right)"," ",0,"integral((g*x + f)^m/(b*log((e*x + d)^n*c) + a), x)","F",0
164,0,0,0,0.738318," ","integrate((g*x+f)^m/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x + f\right)}^{m}}{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}, x\right)"," ",0,"integral((g*x + f)^m/(b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2), x)","F",0
165,0,0,0,1.098820," ","integrate((g*x+f)^m*(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left({\left(g x + f\right)}^{m} b \log\left({\left(e x + d\right)}^{n} c\right) + {\left(g x + f\right)}^{m} a\right)} \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}, x\right)"," ",0,"integral(((g*x + f)^m*b*log((e*x + d)^n*c) + (g*x + f)^m*a)*sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
166,0,0,0,0.922407," ","integrate((g*x+f)^m*(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a} {\left(g x + f\right)}^{m}, x\right)"," ",0,"integral(sqrt(b*log((e*x + d)^n*c) + a)*(g*x + f)^m, x)","F",0
167,0,0,0,1.036223," ","integrate((g*x+f)^m/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(g x + f\right)}^{m}}{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}, x\right)"," ",0,"integral((g*x + f)^m/sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
168,0,0,0,1.041138," ","integrate((g*x+f)^m/(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a} {\left(g x + f\right)}^{m}}{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(b*log((e*x + d)^n*c) + a)*(g*x + f)^m/(b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2), x)","F",0
169,0,0,0,1.117786," ","integrate((g*x+f)^m*(a+b*log(c*(e*x+d)^n))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(g x + f\right)}^{m} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{n}, x\right)"," ",0,"integral((g*x + f)^m*(b*log((e*x + d)^n*c) + a)^n, x)","F",0
170,0,0,0,0.966383," ","integrate((g*x+f)^3*(a+b*log(c*(e*x+d)^n))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(g^{3} x^{3} + 3 \, f g^{2} x^{2} + 3 \, f^{2} g x + f^{3}\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{n}, x\right)"," ",0,"integral((g^3*x^3 + 3*f*g^2*x^2 + 3*f^2*g*x + f^3)*(b*log((e*x + d)^n*c) + a)^n, x)","F",0
171,0,0,0,0.903459," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(g^{2} x^{2} + 2 \, f g x + f^{2}\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{n}, x\right)"," ",0,"integral((g^2*x^2 + 2*f*g*x + f^2)*(b*log((e*x + d)^n*c) + a)^n, x)","F",0
172,0,0,0,0.841504," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{n}, x\right)"," ",0,"integral((g*x + f)*(b*log((e*x + d)^n*c) + a)^n, x)","F",0
173,1,60,0,0.988828," ","integrate((a+b*log(c*(e*x+d)^n))^n,x, algorithm=""fricas"")","\frac{e^{\left(-\frac{b n^{2} \log\left(-\frac{1}{b n}\right) + b \log\left(c\right) + a}{b n}\right)} \Gamma\left(n + 1, -\frac{b n \log\left(e x + d\right) + b \log\left(c\right) + a}{b n}\right)}{e}"," ",0,"e^(-(b*n^2*log(-1/(b*n)) + b*log(c) + a)/(b*n))*gamma(n + 1, -(b*n*log(e*x + d) + b*log(c) + a)/(b*n))/e","A",0
174,0,0,0,0.878978," ","integrate((a+b*log(c*(e*x+d)^n))^n/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{n}}{g x + f}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)^n/(g*x + f), x)","F",0
175,1,478,0,0.845300," ","integrate((i*x+h)^4*(a+b*log(c*(f*x+e)))/(d*f*x+d*e),x, algorithm=""fricas"")","\frac{9 \, {\left(4 \, a - b\right)} f^{4} i^{4} x^{4} + 4 \, {\left(16 \, {\left(3 \, a - b\right)} f^{4} h i^{3} - {\left(12 \, a - 7 \, b\right)} e f^{3} i^{4}\right)} x^{3} + 6 \, {\left(36 \, {\left(2 \, a - b\right)} f^{4} h^{2} i^{2} - 8 \, {\left(6 \, a - 5 \, b\right)} e f^{3} h i^{3} + {\left(12 \, a - 13 \, b\right)} e^{2} f^{2} i^{4}\right)} x^{2} + 72 \, {\left(b f^{4} h^{4} - 4 \, b e f^{3} h^{3} i + 6 \, b e^{2} f^{2} h^{2} i^{2} - 4 \, b e^{3} f h i^{3} + b e^{4} i^{4}\right)} \log\left(c f x + c e\right)^{2} + 12 \, {\left(48 \, {\left(a - b\right)} f^{4} h^{3} i - 36 \, {\left(2 \, a - 3 \, b\right)} e f^{3} h^{2} i^{2} + 8 \, {\left(6 \, a - 11 \, b\right)} e^{2} f^{2} h i^{3} - {\left(12 \, a - 25 \, b\right)} e^{3} f i^{4}\right)} x + 12 \, {\left(3 \, b f^{4} i^{4} x^{4} + 12 \, a f^{4} h^{4} - 48 \, {\left(a - b\right)} e f^{3} h^{3} i + 36 \, {\left(2 \, a - 3 \, b\right)} e^{2} f^{2} h^{2} i^{2} - 8 \, {\left(6 \, a - 11 \, b\right)} e^{3} f h i^{3} + {\left(12 \, a - 25 \, b\right)} e^{4} i^{4} + 4 \, {\left(4 \, b f^{4} h i^{3} - b e f^{3} i^{4}\right)} x^{3} + 6 \, {\left(6 \, b f^{4} h^{2} i^{2} - 4 \, b e f^{3} h i^{3} + b e^{2} f^{2} i^{4}\right)} x^{2} + 12 \, {\left(4 \, b f^{4} h^{3} i - 6 \, b e f^{3} h^{2} i^{2} + 4 \, b e^{2} f^{2} h i^{3} - b e^{3} f i^{4}\right)} x\right)} \log\left(c f x + c e\right)}{144 \, d f^{5}}"," ",0,"1/144*(9*(4*a - b)*f^4*i^4*x^4 + 4*(16*(3*a - b)*f^4*h*i^3 - (12*a - 7*b)*e*f^3*i^4)*x^3 + 6*(36*(2*a - b)*f^4*h^2*i^2 - 8*(6*a - 5*b)*e*f^3*h*i^3 + (12*a - 13*b)*e^2*f^2*i^4)*x^2 + 72*(b*f^4*h^4 - 4*b*e*f^3*h^3*i + 6*b*e^2*f^2*h^2*i^2 - 4*b*e^3*f*h*i^3 + b*e^4*i^4)*log(c*f*x + c*e)^2 + 12*(48*(a - b)*f^4*h^3*i - 36*(2*a - 3*b)*e*f^3*h^2*i^2 + 8*(6*a - 11*b)*e^2*f^2*h*i^3 - (12*a - 25*b)*e^3*f*i^4)*x + 12*(3*b*f^4*i^4*x^4 + 12*a*f^4*h^4 - 48*(a - b)*e*f^3*h^3*i + 36*(2*a - 3*b)*e^2*f^2*h^2*i^2 - 8*(6*a - 11*b)*e^3*f*h*i^3 + (12*a - 25*b)*e^4*i^4 + 4*(4*b*f^4*h*i^3 - b*e*f^3*i^4)*x^3 + 6*(6*b*f^4*h^2*i^2 - 4*b*e*f^3*h*i^3 + b*e^2*f^2*i^4)*x^2 + 12*(4*b*f^4*h^3*i - 6*b*e*f^3*h^2*i^2 + 4*b*e^2*f^2*h*i^3 - b*e^3*f*i^4)*x)*log(c*f*x + c*e))/(d*f^5)","A",0
176,1,308,0,0.779768," ","integrate((i*x+h)^3*(a+b*log(c*(f*x+e)))/(d*f*x+d*e),x, algorithm=""fricas"")","\frac{4 \, {\left(3 \, a - b\right)} f^{3} i^{3} x^{3} + 3 \, {\left(9 \, {\left(2 \, a - b\right)} f^{3} h i^{2} - {\left(6 \, a - 5 \, b\right)} e f^{2} i^{3}\right)} x^{2} + 18 \, {\left(b f^{3} h^{3} - 3 \, b e f^{2} h^{2} i + 3 \, b e^{2} f h i^{2} - b e^{3} i^{3}\right)} \log\left(c f x + c e\right)^{2} + 6 \, {\left(18 \, {\left(a - b\right)} f^{3} h^{2} i - 9 \, {\left(2 \, a - 3 \, b\right)} e f^{2} h i^{2} + {\left(6 \, a - 11 \, b\right)} e^{2} f i^{3}\right)} x + 6 \, {\left(2 \, b f^{3} i^{3} x^{3} + 6 \, a f^{3} h^{3} - 18 \, {\left(a - b\right)} e f^{2} h^{2} i + 9 \, {\left(2 \, a - 3 \, b\right)} e^{2} f h i^{2} - {\left(6 \, a - 11 \, b\right)} e^{3} i^{3} + 3 \, {\left(3 \, b f^{3} h i^{2} - b e f^{2} i^{3}\right)} x^{2} + 6 \, {\left(3 \, b f^{3} h^{2} i - 3 \, b e f^{2} h i^{2} + b e^{2} f i^{3}\right)} x\right)} \log\left(c f x + c e\right)}{36 \, d f^{4}}"," ",0,"1/36*(4*(3*a - b)*f^3*i^3*x^3 + 3*(9*(2*a - b)*f^3*h*i^2 - (6*a - 5*b)*e*f^2*i^3)*x^2 + 18*(b*f^3*h^3 - 3*b*e*f^2*h^2*i + 3*b*e^2*f*h*i^2 - b*e^3*i^3)*log(c*f*x + c*e)^2 + 6*(18*(a - b)*f^3*h^2*i - 9*(2*a - 3*b)*e*f^2*h*i^2 + (6*a - 11*b)*e^2*f*i^3)*x + 6*(2*b*f^3*i^3*x^3 + 6*a*f^3*h^3 - 18*(a - b)*e*f^2*h^2*i + 9*(2*a - 3*b)*e^2*f*h*i^2 - (6*a - 11*b)*e^3*i^3 + 3*(3*b*f^3*h*i^2 - b*e*f^2*i^3)*x^2 + 6*(3*b*f^3*h^2*i - 3*b*e*f^2*h*i^2 + b*e^2*f*i^3)*x)*log(c*f*x + c*e))/(d*f^4)","A",0
177,1,170,0,1.178857," ","integrate((i*x+h)^2*(a+b*log(c*(f*x+e)))/(d*f*x+d*e),x, algorithm=""fricas"")","\frac{{\left(2 \, a - b\right)} f^{2} i^{2} x^{2} + 2 \, {\left(b f^{2} h^{2} - 2 \, b e f h i + b e^{2} i^{2}\right)} \log\left(c f x + c e\right)^{2} + 2 \, {\left(4 \, {\left(a - b\right)} f^{2} h i - {\left(2 \, a - 3 \, b\right)} e f i^{2}\right)} x + 2 \, {\left(b f^{2} i^{2} x^{2} + 2 \, a f^{2} h^{2} - 4 \, {\left(a - b\right)} e f h i + {\left(2 \, a - 3 \, b\right)} e^{2} i^{2} + 2 \, {\left(2 \, b f^{2} h i - b e f i^{2}\right)} x\right)} \log\left(c f x + c e\right)}{4 \, d f^{3}}"," ",0,"1/4*((2*a - b)*f^2*i^2*x^2 + 2*(b*f^2*h^2 - 2*b*e*f*h*i + b*e^2*i^2)*log(c*f*x + c*e)^2 + 2*(4*(a - b)*f^2*h*i - (2*a - 3*b)*e*f*i^2)*x + 2*(b*f^2*i^2*x^2 + 2*a*f^2*h^2 - 4*(a - b)*e*f*h*i + (2*a - 3*b)*e^2*i^2 + 2*(2*b*f^2*h*i - b*e*f*i^2)*x)*log(c*f*x + c*e))/(d*f^3)","A",0
178,1,71,0,0.584670," ","integrate((i*x+h)*(a+b*log(c*(f*x+e)))/(d*f*x+d*e),x, algorithm=""fricas"")","\frac{2 \, {\left(a - b\right)} f i x + {\left(b f h - b e i\right)} \log\left(c f x + c e\right)^{2} + 2 \, {\left(b f i x + a f h - {\left(a - b\right)} e i\right)} \log\left(c f x + c e\right)}{2 \, d f^{2}}"," ",0,"1/2*(2*(a - b)*f*i*x + (b*f*h - b*e*i)*log(c*f*x + c*e)^2 + 2*(b*f*i*x + a*f*h - (a - b)*e*i)*log(c*f*x + c*e))/(d*f^2)","A",0
179,1,34,0,1.259635," ","integrate((a+b*log(c*(f*x+e)))/(d*f*x+d*e),x, algorithm=""fricas"")","\frac{b \log\left(c f x + c e\right)^{2} + 2 \, a \log\left(c f x + c e\right)}{2 \, d f}"," ",0,"1/2*(b*log(c*f*x + c*e)^2 + 2*a*log(c*f*x + c*e))/(d*f)","A",0
180,0,0,0,0.883578," ","integrate((a+b*log(c*(f*x+e)))/(d*f*x+d*e)/(i*x+h),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c f x + c e\right) + a}{d f i x^{2} + d e h + {\left(d f h + d e i\right)} x}, x\right)"," ",0,"integral((b*log(c*f*x + c*e) + a)/(d*f*i*x^2 + d*e*h + (d*f*h + d*e*i)*x), x)","F",0
181,0,0,0,0.928014," ","integrate((a+b*log(c*(f*x+e)))/(d*f*x+d*e)/(i*x+h)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c f x + c e\right) + a}{d f i^{2} x^{3} + d e h^{2} + {\left(2 \, d f h i + d e i^{2}\right)} x^{2} + {\left(d f h^{2} + 2 \, d e h i\right)} x}, x\right)"," ",0,"integral((b*log(c*f*x + c*e) + a)/(d*f*i^2*x^3 + d*e*h^2 + (2*d*f*h*i + d*e*i^2)*x^2 + (d*f*h^2 + 2*d*e*h*i)*x), x)","F",0
182,0,0,0,0.762904," ","integrate((a+b*log(c*(f*x+e)))/(d*f*x+d*e)/(i*x+h)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c f x + c e\right) + a}{d f i^{3} x^{4} + d e h^{3} + {\left(3 \, d f h i^{2} + d e i^{3}\right)} x^{3} + 3 \, {\left(d f h^{2} i + d e h i^{2}\right)} x^{2} + {\left(d f h^{3} + 3 \, d e h^{2} i\right)} x}, x\right)"," ",0,"integral((b*log(c*f*x + c*e) + a)/(d*f*i^3*x^4 + d*e*h^3 + (3*d*f*h*i^2 + d*e*i^3)*x^3 + 3*(d*f*h^2*i + d*e*h*i^2)*x^2 + (d*f*h^3 + 3*d*e*h^2*i)*x), x)","F",0
183,1,939,0,0.748321," ","integrate((i*x+h)^4*(a+b*log(c*(f*x+e)))^2/(d*f*x+d*e),x, algorithm=""fricas"")","\frac{27 \, {\left(8 \, a^{2} - 4 \, a b + b^{2}\right)} f^{4} i^{4} x^{4} + 4 \, {\left(32 \, {\left(9 \, a^{2} - 6 \, a b + 2 \, b^{2}\right)} f^{4} h i^{3} - {\left(72 \, a^{2} - 84 \, a b + 37 \, b^{2}\right)} e f^{3} i^{4}\right)} x^{3} + 288 \, {\left(b^{2} f^{4} h^{4} - 4 \, b^{2} e f^{3} h^{3} i + 6 \, b^{2} e^{2} f^{2} h^{2} i^{2} - 4 \, b^{2} e^{3} f h i^{3} + b^{2} e^{4} i^{4}\right)} \log\left(c f x + c e\right)^{3} + 6 \, {\left(216 \, {\left(2 \, a^{2} - 2 \, a b + b^{2}\right)} f^{4} h^{2} i^{2} - 16 \, {\left(18 \, a^{2} - 30 \, a b + 19 \, b^{2}\right)} e f^{3} h i^{3} + {\left(72 \, a^{2} - 156 \, a b + 115 \, b^{2}\right)} e^{2} f^{2} i^{4}\right)} x^{2} + 72 \, {\left(3 \, b^{2} f^{4} i^{4} x^{4} + 12 \, a b f^{4} h^{4} - 48 \, {\left(a b - b^{2}\right)} e f^{3} h^{3} i + 36 \, {\left(2 \, a b - 3 \, b^{2}\right)} e^{2} f^{2} h^{2} i^{2} - 8 \, {\left(6 \, a b - 11 \, b^{2}\right)} e^{3} f h i^{3} + {\left(12 \, a b - 25 \, b^{2}\right)} e^{4} i^{4} + 4 \, {\left(4 \, b^{2} f^{4} h i^{3} - b^{2} e f^{3} i^{4}\right)} x^{3} + 6 \, {\left(6 \, b^{2} f^{4} h^{2} i^{2} - 4 \, b^{2} e f^{3} h i^{3} + b^{2} e^{2} f^{2} i^{4}\right)} x^{2} + 12 \, {\left(4 \, b^{2} f^{4} h^{3} i - 6 \, b^{2} e f^{3} h^{2} i^{2} + 4 \, b^{2} e^{2} f^{2} h i^{3} - b^{2} e^{3} f i^{4}\right)} x\right)} \log\left(c f x + c e\right)^{2} + 12 \, {\left(288 \, {\left(a^{2} - 2 \, a b + 2 \, b^{2}\right)} f^{4} h^{3} i - 216 \, {\left(2 \, a^{2} - 6 \, a b + 7 \, b^{2}\right)} e f^{3} h^{2} i^{2} + 16 \, {\left(18 \, a^{2} - 66 \, a b + 85 \, b^{2}\right)} e^{2} f^{2} h i^{3} - {\left(72 \, a^{2} - 300 \, a b + 415 \, b^{2}\right)} e^{3} f i^{4}\right)} x + 12 \, {\left(9 \, {\left(4 \, a b - b^{2}\right)} f^{4} i^{4} x^{4} + 72 \, a^{2} f^{4} h^{4} - 288 \, {\left(a^{2} - 2 \, a b + 2 \, b^{2}\right)} e f^{3} h^{3} i + 216 \, {\left(2 \, a^{2} - 6 \, a b + 7 \, b^{2}\right)} e^{2} f^{2} h^{2} i^{2} - 16 \, {\left(18 \, a^{2} - 66 \, a b + 85 \, b^{2}\right)} e^{3} f h i^{3} + {\left(72 \, a^{2} - 300 \, a b + 415 \, b^{2}\right)} e^{4} i^{4} + 4 \, {\left(16 \, {\left(3 \, a b - b^{2}\right)} f^{4} h i^{3} - {\left(12 \, a b - 7 \, b^{2}\right)} e f^{3} i^{4}\right)} x^{3} + 6 \, {\left(36 \, {\left(2 \, a b - b^{2}\right)} f^{4} h^{2} i^{2} - 8 \, {\left(6 \, a b - 5 \, b^{2}\right)} e f^{3} h i^{3} + {\left(12 \, a b - 13 \, b^{2}\right)} e^{2} f^{2} i^{4}\right)} x^{2} + 12 \, {\left(48 \, {\left(a b - b^{2}\right)} f^{4} h^{3} i - 36 \, {\left(2 \, a b - 3 \, b^{2}\right)} e f^{3} h^{2} i^{2} + 8 \, {\left(6 \, a b - 11 \, b^{2}\right)} e^{2} f^{2} h i^{3} - {\left(12 \, a b - 25 \, b^{2}\right)} e^{3} f i^{4}\right)} x\right)} \log\left(c f x + c e\right)}{864 \, d f^{5}}"," ",0,"1/864*(27*(8*a^2 - 4*a*b + b^2)*f^4*i^4*x^4 + 4*(32*(9*a^2 - 6*a*b + 2*b^2)*f^4*h*i^3 - (72*a^2 - 84*a*b + 37*b^2)*e*f^3*i^4)*x^3 + 288*(b^2*f^4*h^4 - 4*b^2*e*f^3*h^3*i + 6*b^2*e^2*f^2*h^2*i^2 - 4*b^2*e^3*f*h*i^3 + b^2*e^4*i^4)*log(c*f*x + c*e)^3 + 6*(216*(2*a^2 - 2*a*b + b^2)*f^4*h^2*i^2 - 16*(18*a^2 - 30*a*b + 19*b^2)*e*f^3*h*i^3 + (72*a^2 - 156*a*b + 115*b^2)*e^2*f^2*i^4)*x^2 + 72*(3*b^2*f^4*i^4*x^4 + 12*a*b*f^4*h^4 - 48*(a*b - b^2)*e*f^3*h^3*i + 36*(2*a*b - 3*b^2)*e^2*f^2*h^2*i^2 - 8*(6*a*b - 11*b^2)*e^3*f*h*i^3 + (12*a*b - 25*b^2)*e^4*i^4 + 4*(4*b^2*f^4*h*i^3 - b^2*e*f^3*i^4)*x^3 + 6*(6*b^2*f^4*h^2*i^2 - 4*b^2*e*f^3*h*i^3 + b^2*e^2*f^2*i^4)*x^2 + 12*(4*b^2*f^4*h^3*i - 6*b^2*e*f^3*h^2*i^2 + 4*b^2*e^2*f^2*h*i^3 - b^2*e^3*f*i^4)*x)*log(c*f*x + c*e)^2 + 12*(288*(a^2 - 2*a*b + 2*b^2)*f^4*h^3*i - 216*(2*a^2 - 6*a*b + 7*b^2)*e*f^3*h^2*i^2 + 16*(18*a^2 - 66*a*b + 85*b^2)*e^2*f^2*h*i^3 - (72*a^2 - 300*a*b + 415*b^2)*e^3*f*i^4)*x + 12*(9*(4*a*b - b^2)*f^4*i^4*x^4 + 72*a^2*f^4*h^4 - 288*(a^2 - 2*a*b + 2*b^2)*e*f^3*h^3*i + 216*(2*a^2 - 6*a*b + 7*b^2)*e^2*f^2*h^2*i^2 - 16*(18*a^2 - 66*a*b + 85*b^2)*e^3*f*h*i^3 + (72*a^2 - 300*a*b + 415*b^2)*e^4*i^4 + 4*(16*(3*a*b - b^2)*f^4*h*i^3 - (12*a*b - 7*b^2)*e*f^3*i^4)*x^3 + 6*(36*(2*a*b - b^2)*f^4*h^2*i^2 - 8*(6*a*b - 5*b^2)*e*f^3*h*i^3 + (12*a*b - 13*b^2)*e^2*f^2*i^4)*x^2 + 12*(48*(a*b - b^2)*f^4*h^3*i - 36*(2*a*b - 3*b^2)*e*f^3*h^2*i^2 + 8*(6*a*b - 11*b^2)*e^2*f^2*h*i^3 - (12*a*b - 25*b^2)*e^3*f*i^4)*x)*log(c*f*x + c*e))/(d*f^5)","A",0
184,1,606,0,0.834818," ","integrate((i*x+h)^3*(a+b*log(c*(f*x+e)))^2/(d*f*x+d*e),x, algorithm=""fricas"")","\frac{4 \, {\left(9 \, a^{2} - 6 \, a b + 2 \, b^{2}\right)} f^{3} i^{3} x^{3} + 36 \, {\left(b^{2} f^{3} h^{3} - 3 \, b^{2} e f^{2} h^{2} i + 3 \, b^{2} e^{2} f h i^{2} - b^{2} e^{3} i^{3}\right)} \log\left(c f x + c e\right)^{3} + 3 \, {\left(27 \, {\left(2 \, a^{2} - 2 \, a b + b^{2}\right)} f^{3} h i^{2} - {\left(18 \, a^{2} - 30 \, a b + 19 \, b^{2}\right)} e f^{2} i^{3}\right)} x^{2} + 18 \, {\left(2 \, b^{2} f^{3} i^{3} x^{3} + 6 \, a b f^{3} h^{3} - 18 \, {\left(a b - b^{2}\right)} e f^{2} h^{2} i + 9 \, {\left(2 \, a b - 3 \, b^{2}\right)} e^{2} f h i^{2} - {\left(6 \, a b - 11 \, b^{2}\right)} e^{3} i^{3} + 3 \, {\left(3 \, b^{2} f^{3} h i^{2} - b^{2} e f^{2} i^{3}\right)} x^{2} + 6 \, {\left(3 \, b^{2} f^{3} h^{2} i - 3 \, b^{2} e f^{2} h i^{2} + b^{2} e^{2} f i^{3}\right)} x\right)} \log\left(c f x + c e\right)^{2} + 6 \, {\left(54 \, {\left(a^{2} - 2 \, a b + 2 \, b^{2}\right)} f^{3} h^{2} i - 27 \, {\left(2 \, a^{2} - 6 \, a b + 7 \, b^{2}\right)} e f^{2} h i^{2} + {\left(18 \, a^{2} - 66 \, a b + 85 \, b^{2}\right)} e^{2} f i^{3}\right)} x + 6 \, {\left(4 \, {\left(3 \, a b - b^{2}\right)} f^{3} i^{3} x^{3} + 18 \, a^{2} f^{3} h^{3} - 54 \, {\left(a^{2} - 2 \, a b + 2 \, b^{2}\right)} e f^{2} h^{2} i + 27 \, {\left(2 \, a^{2} - 6 \, a b + 7 \, b^{2}\right)} e^{2} f h i^{2} - {\left(18 \, a^{2} - 66 \, a b + 85 \, b^{2}\right)} e^{3} i^{3} + 3 \, {\left(9 \, {\left(2 \, a b - b^{2}\right)} f^{3} h i^{2} - {\left(6 \, a b - 5 \, b^{2}\right)} e f^{2} i^{3}\right)} x^{2} + 6 \, {\left(18 \, {\left(a b - b^{2}\right)} f^{3} h^{2} i - 9 \, {\left(2 \, a b - 3 \, b^{2}\right)} e f^{2} h i^{2} + {\left(6 \, a b - 11 \, b^{2}\right)} e^{2} f i^{3}\right)} x\right)} \log\left(c f x + c e\right)}{108 \, d f^{4}}"," ",0,"1/108*(4*(9*a^2 - 6*a*b + 2*b^2)*f^3*i^3*x^3 + 36*(b^2*f^3*h^3 - 3*b^2*e*f^2*h^2*i + 3*b^2*e^2*f*h*i^2 - b^2*e^3*i^3)*log(c*f*x + c*e)^3 + 3*(27*(2*a^2 - 2*a*b + b^2)*f^3*h*i^2 - (18*a^2 - 30*a*b + 19*b^2)*e*f^2*i^3)*x^2 + 18*(2*b^2*f^3*i^3*x^3 + 6*a*b*f^3*h^3 - 18*(a*b - b^2)*e*f^2*h^2*i + 9*(2*a*b - 3*b^2)*e^2*f*h*i^2 - (6*a*b - 11*b^2)*e^3*i^3 + 3*(3*b^2*f^3*h*i^2 - b^2*e*f^2*i^3)*x^2 + 6*(3*b^2*f^3*h^2*i - 3*b^2*e*f^2*h*i^2 + b^2*e^2*f*i^3)*x)*log(c*f*x + c*e)^2 + 6*(54*(a^2 - 2*a*b + 2*b^2)*f^3*h^2*i - 27*(2*a^2 - 6*a*b + 7*b^2)*e*f^2*h*i^2 + (18*a^2 - 66*a*b + 85*b^2)*e^2*f*i^3)*x + 6*(4*(3*a*b - b^2)*f^3*i^3*x^3 + 18*a^2*f^3*h^3 - 54*(a^2 - 2*a*b + 2*b^2)*e*f^2*h^2*i + 27*(2*a^2 - 6*a*b + 7*b^2)*e^2*f*h*i^2 - (18*a^2 - 66*a*b + 85*b^2)*e^3*i^3 + 3*(9*(2*a*b - b^2)*f^3*h*i^2 - (6*a*b - 5*b^2)*e*f^2*i^3)*x^2 + 6*(18*(a*b - b^2)*f^3*h^2*i - 9*(2*a*b - 3*b^2)*e*f^2*h*i^2 + (6*a*b - 11*b^2)*e^2*f*i^3)*x)*log(c*f*x + c*e))/(d*f^4)","A",0
185,1,336,0,0.863697," ","integrate((i*x+h)^2*(a+b*log(c*(f*x+e)))^2/(d*f*x+d*e),x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, a^{2} - 2 \, a b + b^{2}\right)} f^{2} i^{2} x^{2} + 4 \, {\left(b^{2} f^{2} h^{2} - 2 \, b^{2} e f h i + b^{2} e^{2} i^{2}\right)} \log\left(c f x + c e\right)^{3} + 6 \, {\left(b^{2} f^{2} i^{2} x^{2} + 2 \, a b f^{2} h^{2} - 4 \, {\left(a b - b^{2}\right)} e f h i + {\left(2 \, a b - 3 \, b^{2}\right)} e^{2} i^{2} + 2 \, {\left(2 \, b^{2} f^{2} h i - b^{2} e f i^{2}\right)} x\right)} \log\left(c f x + c e\right)^{2} + 6 \, {\left(4 \, {\left(a^{2} - 2 \, a b + 2 \, b^{2}\right)} f^{2} h i - {\left(2 \, a^{2} - 6 \, a b + 7 \, b^{2}\right)} e f i^{2}\right)} x + 6 \, {\left({\left(2 \, a b - b^{2}\right)} f^{2} i^{2} x^{2} + 2 \, a^{2} f^{2} h^{2} - 4 \, {\left(a^{2} - 2 \, a b + 2 \, b^{2}\right)} e f h i + {\left(2 \, a^{2} - 6 \, a b + 7 \, b^{2}\right)} e^{2} i^{2} + 2 \, {\left(4 \, {\left(a b - b^{2}\right)} f^{2} h i - {\left(2 \, a b - 3 \, b^{2}\right)} e f i^{2}\right)} x\right)} \log\left(c f x + c e\right)}{12 \, d f^{3}}"," ",0,"1/12*(3*(2*a^2 - 2*a*b + b^2)*f^2*i^2*x^2 + 4*(b^2*f^2*h^2 - 2*b^2*e*f*h*i + b^2*e^2*i^2)*log(c*f*x + c*e)^3 + 6*(b^2*f^2*i^2*x^2 + 2*a*b*f^2*h^2 - 4*(a*b - b^2)*e*f*h*i + (2*a*b - 3*b^2)*e^2*i^2 + 2*(2*b^2*f^2*h*i - b^2*e*f*i^2)*x)*log(c*f*x + c*e)^2 + 6*(4*(a^2 - 2*a*b + 2*b^2)*f^2*h*i - (2*a^2 - 6*a*b + 7*b^2)*e*f*i^2)*x + 6*((2*a*b - b^2)*f^2*i^2*x^2 + 2*a^2*f^2*h^2 - 4*(a^2 - 2*a*b + 2*b^2)*e*f*h*i + (2*a^2 - 6*a*b + 7*b^2)*e^2*i^2 + 2*(4*(a*b - b^2)*f^2*h*i - (2*a*b - 3*b^2)*e*f*i^2)*x)*log(c*f*x + c*e))/(d*f^3)","A",0
186,1,141,0,0.683643," ","integrate((i*x+h)*(a+b*log(c*(f*x+e)))^2/(d*f*x+d*e),x, algorithm=""fricas"")","\frac{3 \, {\left(a^{2} - 2 \, a b + 2 \, b^{2}\right)} f i x + {\left(b^{2} f h - b^{2} e i\right)} \log\left(c f x + c e\right)^{3} + 3 \, {\left(b^{2} f i x + a b f h - {\left(a b - b^{2}\right)} e i\right)} \log\left(c f x + c e\right)^{2} + 3 \, {\left(a^{2} f h + 2 \, {\left(a b - b^{2}\right)} f i x - {\left(a^{2} - 2 \, a b + 2 \, b^{2}\right)} e i\right)} \log\left(c f x + c e\right)}{3 \, d f^{2}}"," ",0,"1/3*(3*(a^2 - 2*a*b + 2*b^2)*f*i*x + (b^2*f*h - b^2*e*i)*log(c*f*x + c*e)^3 + 3*(b^2*f*i*x + a*b*f*h - (a*b - b^2)*e*i)*log(c*f*x + c*e)^2 + 3*(a^2*f*h + 2*(a*b - b^2)*f*i*x - (a^2 - 2*a*b + 2*b^2)*e*i)*log(c*f*x + c*e))/(d*f^2)","A",0
187,1,53,0,0.498235," ","integrate((a+b*log(c*(f*x+e)))^2/(d*f*x+d*e),x, algorithm=""fricas"")","\frac{b^{2} \log\left(c f x + c e\right)^{3} + 3 \, a b \log\left(c f x + c e\right)^{2} + 3 \, a^{2} \log\left(c f x + c e\right)}{3 \, d f}"," ",0,"1/3*(b^2*log(c*f*x + c*e)^3 + 3*a*b*log(c*f*x + c*e)^2 + 3*a^2*log(c*f*x + c*e))/(d*f)","B",0
188,0,0,0,0.592278," ","integrate((a+b*log(c*(f*x+e)))^2/(d*f*x+d*e)/(i*x+h),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c f x + c e\right)^{2} + 2 \, a b \log\left(c f x + c e\right) + a^{2}}{d f i x^{2} + d e h + {\left(d f h + d e i\right)} x}, x\right)"," ",0,"integral((b^2*log(c*f*x + c*e)^2 + 2*a*b*log(c*f*x + c*e) + a^2)/(d*f*i*x^2 + d*e*h + (d*f*h + d*e*i)*x), x)","F",0
189,0,0,0,0.929553," ","integrate((a+b*log(c*(f*x+e)))^2/(d*f*x+d*e)/(i*x+h)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c f x + c e\right)^{2} + 2 \, a b \log\left(c f x + c e\right) + a^{2}}{d f i^{2} x^{3} + d e h^{2} + {\left(2 \, d f h i + d e i^{2}\right)} x^{2} + {\left(d f h^{2} + 2 \, d e h i\right)} x}, x\right)"," ",0,"integral((b^2*log(c*f*x + c*e)^2 + 2*a*b*log(c*f*x + c*e) + a^2)/(d*f*i^2*x^3 + d*e*h^2 + (2*d*f*h*i + d*e*i^2)*x^2 + (d*f*h^2 + 2*d*e*h*i)*x), x)","F",0
190,0,0,0,0.862458," ","integrate((a+b*log(c*(f*x+e)))^2/(d*f*x+d*e)/(i*x+h)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c f x + c e\right)^{2} + 2 \, a b \log\left(c f x + c e\right) + a^{2}}{d f i^{3} x^{4} + d e h^{3} + {\left(3 \, d f h i^{2} + d e i^{3}\right)} x^{3} + 3 \, {\left(d f h^{2} i + d e h i^{2}\right)} x^{2} + {\left(d f h^{3} + 3 \, d e h^{2} i\right)} x}, x\right)"," ",0,"integral((b^2*log(c*f*x + c*e)^2 + 2*a*b*log(c*f*x + c*e) + a^2)/(d*f*i^3*x^4 + d*e*h^3 + (3*d*f*h*i^2 + d*e*i^3)*x^3 + 3*(d*f*h^2*i + d*e*h*i^2)*x^2 + (d*f*h^3 + 3*d*e*h^2*i)*x), x)","F",0
191,1,401,0,0.590380," ","integrate((i*x+h)^4/(d*f*x+d*e)/(a+b*log(c*(f*x+e))),x, algorithm=""fricas"")","\frac{{\left(i^{4} \operatorname{log\_integral}\left({\left(c^{4} f^{4} x^{4} + 4 \, c^{4} e f^{3} x^{3} + 6 \, c^{4} e^{2} f^{2} x^{2} + 4 \, c^{4} e^{3} f x + c^{4} e^{4}\right)} e^{\left(\frac{4 \, a}{b}\right)}\right) + {\left(c^{4} f^{4} h^{4} - 4 \, c^{4} e f^{3} h^{3} i + 6 \, c^{4} e^{2} f^{2} h^{2} i^{2} - 4 \, c^{4} e^{3} f h i^{3} + c^{4} e^{4} i^{4}\right)} e^{\left(\frac{4 \, a}{b}\right)} \log\left(b \log\left(c f x + c e\right) + a\right) + 4 \, {\left(c f h i^{3} - c e i^{4}\right)} e^{\frac{a}{b}} \operatorname{log\_integral}\left({\left(c^{3} f^{3} x^{3} + 3 \, c^{3} e f^{2} x^{2} + 3 \, c^{3} e^{2} f x + c^{3} e^{3}\right)} e^{\left(\frac{3 \, a}{b}\right)}\right) + 6 \, {\left(c^{2} f^{2} h^{2} i^{2} - 2 \, c^{2} e f h i^{3} + c^{2} e^{2} i^{4}\right)} e^{\left(\frac{2 \, a}{b}\right)} \operatorname{log\_integral}\left({\left(c^{2} f^{2} x^{2} + 2 \, c^{2} e f x + c^{2} e^{2}\right)} e^{\left(\frac{2 \, a}{b}\right)}\right) + 4 \, {\left(c^{3} f^{3} h^{3} i - 3 \, c^{3} e f^{2} h^{2} i^{2} + 3 \, c^{3} e^{2} f h i^{3} - c^{3} e^{3} i^{4}\right)} e^{\left(\frac{3 \, a}{b}\right)} \operatorname{log\_integral}\left({\left(c f x + c e\right)} e^{\frac{a}{b}}\right)\right)} e^{\left(-\frac{4 \, a}{b}\right)}}{b c^{4} d f^{5}}"," ",0,"(i^4*log_integral((c^4*f^4*x^4 + 4*c^4*e*f^3*x^3 + 6*c^4*e^2*f^2*x^2 + 4*c^4*e^3*f*x + c^4*e^4)*e^(4*a/b)) + (c^4*f^4*h^4 - 4*c^4*e*f^3*h^3*i + 6*c^4*e^2*f^2*h^2*i^2 - 4*c^4*e^3*f*h*i^3 + c^4*e^4*i^4)*e^(4*a/b)*log(b*log(c*f*x + c*e) + a) + 4*(c*f*h*i^3 - c*e*i^4)*e^(a/b)*log_integral((c^3*f^3*x^3 + 3*c^3*e*f^2*x^2 + 3*c^3*e^2*f*x + c^3*e^3)*e^(3*a/b)) + 6*(c^2*f^2*h^2*i^2 - 2*c^2*e*f*h*i^3 + c^2*e^2*i^4)*e^(2*a/b)*log_integral((c^2*f^2*x^2 + 2*c^2*e*f*x + c^2*e^2)*e^(2*a/b)) + 4*(c^3*f^3*h^3*i - 3*c^3*e*f^2*h^2*i^2 + 3*c^3*e^2*f*h*i^3 - c^3*e^3*i^4)*e^(3*a/b)*log_integral((c*f*x + c*e)*e^(a/b)))*e^(-4*a/b)/(b*c^4*d*f^5)","A",0
192,1,260,0,0.843435," ","integrate((i*x+h)^3/(d*f*x+d*e)/(a+b*log(c*(f*x+e))),x, algorithm=""fricas"")","\frac{{\left(i^{3} \operatorname{log\_integral}\left({\left(c^{3} f^{3} x^{3} + 3 \, c^{3} e f^{2} x^{2} + 3 \, c^{3} e^{2} f x + c^{3} e^{3}\right)} e^{\left(\frac{3 \, a}{b}\right)}\right) + {\left(c^{3} f^{3} h^{3} - 3 \, c^{3} e f^{2} h^{2} i + 3 \, c^{3} e^{2} f h i^{2} - c^{3} e^{3} i^{3}\right)} e^{\left(\frac{3 \, a}{b}\right)} \log\left(b \log\left(c f x + c e\right) + a\right) + 3 \, {\left(c f h i^{2} - c e i^{3}\right)} e^{\frac{a}{b}} \operatorname{log\_integral}\left({\left(c^{2} f^{2} x^{2} + 2 \, c^{2} e f x + c^{2} e^{2}\right)} e^{\left(\frac{2 \, a}{b}\right)}\right) + 3 \, {\left(c^{2} f^{2} h^{2} i - 2 \, c^{2} e f h i^{2} + c^{2} e^{2} i^{3}\right)} e^{\left(\frac{2 \, a}{b}\right)} \operatorname{log\_integral}\left({\left(c f x + c e\right)} e^{\frac{a}{b}}\right)\right)} e^{\left(-\frac{3 \, a}{b}\right)}}{b c^{3} d f^{4}}"," ",0,"(i^3*log_integral((c^3*f^3*x^3 + 3*c^3*e*f^2*x^2 + 3*c^3*e^2*f*x + c^3*e^3)*e^(3*a/b)) + (c^3*f^3*h^3 - 3*c^3*e*f^2*h^2*i + 3*c^3*e^2*f*h*i^2 - c^3*e^3*i^3)*e^(3*a/b)*log(b*log(c*f*x + c*e) + a) + 3*(c*f*h*i^2 - c*e*i^3)*e^(a/b)*log_integral((c^2*f^2*x^2 + 2*c^2*e*f*x + c^2*e^2)*e^(2*a/b)) + 3*(c^2*f^2*h^2*i - 2*c^2*e*f*h*i^2 + c^2*e^2*i^3)*e^(2*a/b)*log_integral((c*f*x + c*e)*e^(a/b)))*e^(-3*a/b)/(b*c^3*d*f^4)","A",0
193,1,149,0,0.832430," ","integrate((i*x+h)^2/(d*f*x+d*e)/(a+b*log(c*(f*x+e))),x, algorithm=""fricas"")","\frac{{\left({\left(c^{2} f^{2} h^{2} - 2 \, c^{2} e f h i + c^{2} e^{2} i^{2}\right)} e^{\left(\frac{2 \, a}{b}\right)} \log\left(b \log\left(c f x + c e\right) + a\right) + i^{2} \operatorname{log\_integral}\left({\left(c^{2} f^{2} x^{2} + 2 \, c^{2} e f x + c^{2} e^{2}\right)} e^{\left(\frac{2 \, a}{b}\right)}\right) + 2 \, {\left(c f h i - c e i^{2}\right)} e^{\frac{a}{b}} \operatorname{log\_integral}\left({\left(c f x + c e\right)} e^{\frac{a}{b}}\right)\right)} e^{\left(-\frac{2 \, a}{b}\right)}}{b c^{2} d f^{3}}"," ",0,"((c^2*f^2*h^2 - 2*c^2*e*f*h*i + c^2*e^2*i^2)*e^(2*a/b)*log(b*log(c*f*x + c*e) + a) + i^2*log_integral((c^2*f^2*x^2 + 2*c^2*e*f*x + c^2*e^2)*e^(2*a/b)) + 2*(c*f*h*i - c*e*i^2)*e^(a/b)*log_integral((c*f*x + c*e)*e^(a/b)))*e^(-2*a/b)/(b*c^2*d*f^3)","A",0
194,1,70,0,1.101374," ","integrate((i*x+h)/(d*f*x+d*e)/(a+b*log(c*(f*x+e))),x, algorithm=""fricas"")","\frac{{\left({\left(c f h - c e i\right)} e^{\frac{a}{b}} \log\left(b \log\left(c f x + c e\right) + a\right) + i \operatorname{log\_integral}\left({\left(c f x + c e\right)} e^{\frac{a}{b}}\right)\right)} e^{\left(-\frac{a}{b}\right)}}{b c d f^{2}}"," ",0,"((c*f*h - c*e*i)*e^(a/b)*log(b*log(c*f*x + c*e) + a) + i*log_integral((c*f*x + c*e)*e^(a/b)))*e^(-a/b)/(b*c*d*f^2)","A",0
195,1,24,0,0.801209," ","integrate(1/(d*f*x+d*e)/(a+b*log(c*(f*x+e))),x, algorithm=""fricas"")","\frac{\log\left(b \log\left(c f x + c e\right) + a\right)}{b d f}"," ",0,"log(b*log(c*f*x + c*e) + a)/(b*d*f)","A",0
196,0,0,0,0.920971," ","integrate(1/(d*f*x+d*e)/(i*x+h)/(a+b*log(c*(f*x+e))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a d f i x^{2} + a d e h + {\left(a d f h + a d e i\right)} x + {\left(b d f i x^{2} + b d e h + {\left(b d f h + b d e i\right)} x\right)} \log\left(c f x + c e\right)}, x\right)"," ",0,"integral(1/(a*d*f*i*x^2 + a*d*e*h + (a*d*f*h + a*d*e*i)*x + (b*d*f*i*x^2 + b*d*e*h + (b*d*f*h + b*d*e*i)*x)*log(c*f*x + c*e)), x)","F",0
197,0,0,0,0.909757," ","integrate(1/(d*f*x+d*e)/(i*x+h)^2/(a+b*log(c*(f*x+e))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a d f i^{2} x^{3} + a d e h^{2} + {\left(2 \, a d f h i + a d e i^{2}\right)} x^{2} + {\left(a d f h^{2} + 2 \, a d e h i\right)} x + {\left(b d f i^{2} x^{3} + b d e h^{2} + {\left(2 \, b d f h i + b d e i^{2}\right)} x^{2} + {\left(b d f h^{2} + 2 \, b d e h i\right)} x\right)} \log\left(c f x + c e\right)}, x\right)"," ",0,"integral(1/(a*d*f*i^2*x^3 + a*d*e*h^2 + (2*a*d*f*h*i + a*d*e*i^2)*x^2 + (a*d*f*h^2 + 2*a*d*e*h*i)*x + (b*d*f*i^2*x^3 + b*d*e*h^2 + (2*b*d*f*h*i + b*d*e*i^2)*x^2 + (b*d*f*h^2 + 2*b*d*e*h*i)*x)*log(c*f*x + c*e)), x)","F",0
198,0,0,0,1.221944," ","integrate((g*x+f)^(5/2)*(a+b*log(c*(e*x+d)^n))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b g^{2} x^{2} + 2 \, b f g x + b f^{2}\right)} \sqrt{g x + f} \log\left({\left(e x + d\right)}^{n} c\right) + {\left(a g^{2} x^{2} + 2 \, a f g x + a f^{2}\right)} \sqrt{g x + f}}{e x + d}, x\right)"," ",0,"integral(((b*g^2*x^2 + 2*b*f*g*x + b*f^2)*sqrt(g*x + f)*log((e*x + d)^n*c) + (a*g^2*x^2 + 2*a*f*g*x + a*f^2)*sqrt(g*x + f))/(e*x + d), x)","F",0
199,0,0,0,1.090711," ","integrate((g*x+f)^(3/2)*(a+b*log(c*(e*x+d)^n))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b g x + b f\right)} \sqrt{g x + f} \log\left({\left(e x + d\right)}^{n} c\right) + {\left(a g x + a f\right)} \sqrt{g x + f}}{e x + d}, x\right)"," ",0,"integral(((b*g*x + b*f)*sqrt(g*x + f)*log((e*x + d)^n*c) + (a*g*x + a*f)*sqrt(g*x + f))/(e*x + d), x)","F",0
200,0,0,0,1.070873," ","integrate((g*x+f)^(1/2)*(a+b*log(c*(e*x+d)^n))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{g x + f} b \log\left({\left(e x + d\right)}^{n} c\right) + \sqrt{g x + f} a}{e x + d}, x\right)"," ",0,"integral((sqrt(g*x + f)*b*log((e*x + d)^n*c) + sqrt(g*x + f)*a)/(e*x + d), x)","F",0
201,0,0,0,1.210431," ","integrate((a+b*log(c*(e*x+d)^n))/(e*x+d)/(g*x+f)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{g x + f} b \log\left({\left(e x + d\right)}^{n} c\right) + \sqrt{g x + f} a}{e g x^{2} + d f + {\left(e f + d g\right)} x}, x\right)"," ",0,"integral((sqrt(g*x + f)*b*log((e*x + d)^n*c) + sqrt(g*x + f)*a)/(e*g*x^2 + d*f + (e*f + d*g)*x), x)","F",0
202,0,0,0,0.925014," ","integrate((a+b*log(c*(e*x+d)^n))/(e*x+d)/(g*x+f)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{g x + f} b \log\left({\left(e x + d\right)}^{n} c\right) + \sqrt{g x + f} a}{e g^{2} x^{3} + d f^{2} + {\left(2 \, e f g + d g^{2}\right)} x^{2} + {\left(e f^{2} + 2 \, d f g\right)} x}, x\right)"," ",0,"integral((sqrt(g*x + f)*b*log((e*x + d)^n*c) + sqrt(g*x + f)*a)/(e*g^2*x^3 + d*f^2 + (2*e*f*g + d*g^2)*x^2 + (e*f^2 + 2*d*f*g)*x), x)","F",0
203,0,0,0,1.048445," ","integrate((a+b*log(c*(e*x+d)^n))/(e*x+d)/(g*x+f)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{g x + f} b \log\left({\left(e x + d\right)}^{n} c\right) + \sqrt{g x + f} a}{e g^{3} x^{4} + d f^{3} + {\left(3 \, e f g^{2} + d g^{3}\right)} x^{3} + 3 \, {\left(e f^{2} g + d f g^{2}\right)} x^{2} + {\left(e f^{3} + 3 \, d f^{2} g\right)} x}, x\right)"," ",0,"integral((sqrt(g*x + f)*b*log((e*x + d)^n*c) + sqrt(g*x + f)*a)/(e*g^3*x^4 + d*f^3 + (3*e*f*g^2 + d*g^3)*x^3 + 3*(e*f^2*g + d*f*g^2)*x^2 + (e*f^3 + 3*d*f^2*g)*x), x)","F",0
204,0,0,0,0.972653," ","integrate((e*x+d)^(3/2)*log(b*x+a)/(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}} \log\left(b x + a\right)}{b x + a}, x\right)"," ",0,"integral((e*x + d)^(3/2)*log(b*x + a)/(b*x + a), x)","F",0
205,0,0,0,1.151952," ","integrate((e*x+d)^(1/2)*log(b*x+a)/(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x + d} \log\left(b x + a\right)}{b x + a}, x\right)"," ",0,"integral(sqrt(e*x + d)*log(b*x + a)/(b*x + a), x)","F",0
206,0,0,0,1.186327," ","integrate(log(b*x+a)/(b*x+a)/(e*x+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x + d} \log\left(b x + a\right)}{b e x^{2} + a d + {\left(b d + a e\right)} x}, x\right)"," ",0,"integral(sqrt(e*x + d)*log(b*x + a)/(b*e*x^2 + a*d + (b*d + a*e)*x), x)","F",0
207,0,0,0,0.979464," ","integrate(log(b*x+a)/(b*x+a)/(e*x+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x + d} \log\left(b x + a\right)}{b e^{2} x^{3} + a d^{2} + {\left(2 \, b d e + a e^{2}\right)} x^{2} + {\left(b d^{2} + 2 \, a d e\right)} x}, x\right)"," ",0,"integral(sqrt(e*x + d)*log(b*x + a)/(b*e^2*x^3 + a*d^2 + (2*b*d*e + a*e^2)*x^2 + (b*d^2 + 2*a*d*e)*x), x)","F",0
208,0,0,0,0.983945," ","integrate(log(b*x+a)/(b*x+a)/(e*x+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x + d} \log\left(b x + a\right)}{b e^{3} x^{4} + a d^{3} + {\left(3 \, b d e^{2} + a e^{3}\right)} x^{3} + 3 \, {\left(b d^{2} e + a d e^{2}\right)} x^{2} + {\left(b d^{3} + 3 \, a d^{2} e\right)} x}, x\right)"," ",0,"integral(sqrt(e*x + d)*log(b*x + a)/(b*e^3*x^4 + a*d^3 + (3*b*d*e^2 + a*e^3)*x^3 + 3*(b*d^2*e + a*d*e^2)*x^2 + (b*d^3 + 3*a*d^2*e)*x), x)","F",0
209,0,0,0,1.025727," ","integrate((i*x+h)^q*(a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(i x + h\right)}^{q} {\left(b \log\left(c f x + c e\right) + a\right)}^{p}}{d f x + d e}, x\right)"," ",0,"integral((i*x + h)^q*(b*log(c*f*x + c*e) + a)^p/(d*f*x + d*e), x)","F",0
210,0,0,0,0.856496," ","integrate((i*x+h)^3*(a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(i^{3} x^{3} + 3 \, h i^{2} x^{2} + 3 \, h^{2} i x + h^{3}\right)} {\left(b \log\left(c f x + c e\right) + a\right)}^{p}}{d f x + d e}, x\right)"," ",0,"integral((i^3*x^3 + 3*h*i^2*x^2 + 3*h^2*i*x + h^3)*(b*log(c*f*x + c*e) + a)^p/(d*f*x + d*e), x)","F",0
211,0,0,0,1.051338," ","integrate((i*x+h)^2*(a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(i^{2} x^{2} + 2 \, h i x + h^{2}\right)} {\left(b \log\left(c f x + c e\right) + a\right)}^{p}}{d f x + d e}, x\right)"," ",0,"integral((i^2*x^2 + 2*h*i*x + h^2)*(b*log(c*f*x + c*e) + a)^p/(d*f*x + d*e), x)","F",0
212,1,118,0,1.121855," ","integrate((i*x+h)*(a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),x, algorithm=""fricas"")","\frac{{\left(b i p + b i\right)} e^{\left(-\frac{b p \log\left(-\frac{1}{b}\right) + a}{b}\right)} \Gamma\left(p + 1, -\frac{b \log\left(c f x + c e\right) + a}{b}\right) + {\left(a c f h - a c e i + {\left(b c f h - b c e i\right)} \log\left(c f x + c e\right)\right)} {\left(b \log\left(c f x + c e\right) + a\right)}^{p}}{b c d f^{2} p + b c d f^{2}}"," ",0,"((b*i*p + b*i)*e^(-(b*p*log(-1/b) + a)/b)*gamma(p + 1, -(b*log(c*f*x + c*e) + a)/b) + (a*c*f*h - a*c*e*i + (b*c*f*h - b*c*e*i)*log(c*f*x + c*e))*(b*log(c*f*x + c*e) + a)^p)/(b*c*d*f^2*p + b*c*d*f^2)","A",0
213,1,41,0,0.870723," ","integrate((a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),x, algorithm=""fricas"")","\frac{{\left(b \log\left(c f x + c e\right) + a\right)} {\left(b \log\left(c f x + c e\right) + a\right)}^{p}}{b d f p + b d f}"," ",0,"(b*log(c*f*x + c*e) + a)*(b*log(c*f*x + c*e) + a)^p/(b*d*f*p + b*d*f)","A",0
214,0,0,0,0.768607," ","integrate((a+b*log(c*(f*x+e)))^p/(d*f*x+d*e)/(i*x+h),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c f x + c e\right) + a\right)}^{p}}{d f i x^{2} + d e h + {\left(d f h + d e i\right)} x}, x\right)"," ",0,"integral((b*log(c*f*x + c*e) + a)^p/(d*f*i*x^2 + d*e*h + (d*f*h + d*e*i)*x), x)","F",0
215,0,0,0,0.890134," ","integrate((a+b*log(c*(f*x+e)))^p/(d*f*x+d*e)/(i*x+h)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c f x + c e\right) + a\right)}^{p}}{d f i^{2} x^{3} + d e h^{2} + {\left(2 \, d f h i + d e i^{2}\right)} x^{2} + {\left(d f h^{2} + 2 \, d e h i\right)} x}, x\right)"," ",0,"integral((b*log(c*f*x + c*e) + a)^p/(d*f*i^2*x^3 + d*e*h^2 + (2*d*f*h*i + d*e*i^2)*x^2 + (d*f*h^2 + 2*d*e*h*i)*x), x)","F",0
216,0,0,0,1.349129," ","integrate((a+b*log(c*(f*x+e)))^p/(d*f*x+d*e)/(i*x+h)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c f x + c e\right) + a\right)}^{p}}{d f i^{3} x^{4} + d e h^{3} + {\left(3 \, d f h i^{2} + d e i^{3}\right)} x^{3} + 3 \, {\left(d f h^{2} i + d e h i^{2}\right)} x^{2} + {\left(d f h^{3} + 3 \, d e h^{2} i\right)} x}, x\right)"," ",0,"integral((b*log(c*f*x + c*e) + a)^p/(d*f*i^3*x^4 + d*e*h^3 + (3*d*f*h*i^2 + d*e*i^3)*x^3 + 3*(d*f*h^2*i + d*e*h*i^2)*x^2 + (d*f*h^3 + 3*d*e*h^2*i)*x), x)","F",0
217,0,0,0,0.808732," ","integrate((i*x+h)^3*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a i^{3} x^{3} + 3 \, a h i^{2} x^{2} + 3 \, a h^{2} i x + a h^{3} + {\left(b i^{3} x^{3} + 3 \, b h i^{2} x^{2} + 3 \, b h^{2} i x + b h^{3}\right)} \log\left({\left(e x + d\right)}^{n} c\right)}{g x + f}, x\right)"," ",0,"integral((a*i^3*x^3 + 3*a*h*i^2*x^2 + 3*a*h^2*i*x + a*h^3 + (b*i^3*x^3 + 3*b*h*i^2*x^2 + 3*b*h^2*i*x + b*h^3)*log((e*x + d)^n*c))/(g*x + f), x)","F",0
218,0,0,0,0.944172," ","integrate((i*x+h)^2*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a i^{2} x^{2} + 2 \, a h i x + a h^{2} + {\left(b i^{2} x^{2} + 2 \, b h i x + b h^{2}\right)} \log\left({\left(e x + d\right)}^{n} c\right)}{g x + f}, x\right)"," ",0,"integral((a*i^2*x^2 + 2*a*h*i*x + a*h^2 + (b*i^2*x^2 + 2*b*h*i*x + b*h^2)*log((e*x + d)^n*c))/(g*x + f), x)","F",0
219,0,0,0,1.208529," ","integrate((i*x+h)*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a i x + a h + {\left(b i x + b h\right)} \log\left({\left(e x + d\right)}^{n} c\right)}{g x + f}, x\right)"," ",0,"integral((a*i*x + a*h + (b*i*x + b*h)*log((e*x + d)^n*c))/(g*x + f), x)","F",0
220,0,0,0,1.138980," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g x + f}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g*x + f), x)","F",0
221,0,0,0,1.146576," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)/(i*x+h),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g i x^{2} + f h + {\left(g h + f i\right)} x}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g*i*x^2 + f*h + (g*h + f*i)*x), x)","F",0
222,0,0,0,1.123830," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)/(i*x+h)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g i^{2} x^{3} + f h^{2} + {\left(2 \, g h i + f i^{2}\right)} x^{2} + {\left(g h^{2} + 2 \, f h i\right)} x}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g*i^2*x^3 + f*h^2 + (2*g*h*i + f*i^2)*x^2 + (g*h^2 + 2*f*h*i)*x), x)","F",0
223,0,0,0,0.933532," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)/(i*x+h)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g i^{3} x^{4} + f h^{3} + {\left(3 \, g h i^{2} + f i^{3}\right)} x^{3} + 3 \, {\left(g h^{2} i + f h i^{2}\right)} x^{2} + {\left(g h^{3} + 3 \, f h^{2} i\right)} x}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g*i^3*x^4 + f*h^3 + (3*g*h*i^2 + f*i^3)*x^3 + 3*(g*h^2*i + f*h*i^2)*x^2 + (g*h^3 + 3*f*h^2*i)*x), x)","F",0
224,0,0,0,0.918591," ","integrate((i*x+h)^2*(a+b*log(c*(e*x+d)^n))^2/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} i^{2} x^{2} + 2 \, a^{2} h i x + a^{2} h^{2} + {\left(b^{2} i^{2} x^{2} + 2 \, b^{2} h i x + b^{2} h^{2}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, {\left(a b i^{2} x^{2} + 2 \, a b h i x + a b h^{2}\right)} \log\left({\left(e x + d\right)}^{n} c\right)}{g x + f}, x\right)"," ",0,"integral((a^2*i^2*x^2 + 2*a^2*h*i*x + a^2*h^2 + (b^2*i^2*x^2 + 2*b^2*h*i*x + b^2*h^2)*log((e*x + d)^n*c)^2 + 2*(a*b*i^2*x^2 + 2*a*b*h*i*x + a*b*h^2)*log((e*x + d)^n*c))/(g*x + f), x)","F",0
225,0,0,0,1.147851," ","integrate((i*x+h)*(a+b*log(c*(e*x+d)^n))^2/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} i x + a^{2} h + {\left(b^{2} i x + b^{2} h\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, {\left(a b i x + a b h\right)} \log\left({\left(e x + d\right)}^{n} c\right)}{g x + f}, x\right)"," ",0,"integral((a^2*i*x + a^2*h + (b^2*i*x + b^2*h)*log((e*x + d)^n*c)^2 + 2*(a*b*i*x + a*b*h)*log((e*x + d)^n*c))/(g*x + f), x)","F",0
226,0,0,0,0.761909," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g x + f}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g*x + f), x)","F",0
227,0,0,0,1.261992," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)/(i*x+h),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g i x^{2} + f h + {\left(g h + f i\right)} x}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g*i*x^2 + f*h + (g*h + f*i)*x), x)","F",0
228,0,0,0,1.019889," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)/(i*x+h)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g i^{2} x^{3} + f h^{2} + {\left(2 \, g h i + f i^{2}\right)} x^{2} + {\left(g h^{2} + 2 \, f h i\right)} x}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g*i^2*x^3 + f*h^2 + (2*g*h*i + f*i^2)*x^2 + (g*h^2 + 2*f*h*i)*x), x)","F",0
229,0,0,0,1.088078," ","integrate((i*x+h)^2*(a+b*log(c*(e*x+d)^n))^3/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{3} i^{2} x^{2} + 2 \, a^{3} h i x + a^{3} h^{2} + {\left(b^{3} i^{2} x^{2} + 2 \, b^{3} h i x + b^{3} h^{2}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, {\left(a b^{2} i^{2} x^{2} + 2 \, a b^{2} h i x + a b^{2} h^{2}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, {\left(a^{2} b i^{2} x^{2} + 2 \, a^{2} b h i x + a^{2} b h^{2}\right)} \log\left({\left(e x + d\right)}^{n} c\right)}{g x + f}, x\right)"," ",0,"integral((a^3*i^2*x^2 + 2*a^3*h*i*x + a^3*h^2 + (b^3*i^2*x^2 + 2*b^3*h*i*x + b^3*h^2)*log((e*x + d)^n*c)^3 + 3*(a*b^2*i^2*x^2 + 2*a*b^2*h*i*x + a*b^2*h^2)*log((e*x + d)^n*c)^2 + 3*(a^2*b*i^2*x^2 + 2*a^2*b*h*i*x + a^2*b*h^2)*log((e*x + d)^n*c))/(g*x + f), x)","F",0
230,0,0,0,1.265229," ","integrate((i*x+h)*(a+b*log(c*(e*x+d)^n))^3/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{3} i x + a^{3} h + {\left(b^{3} i x + b^{3} h\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, {\left(a b^{2} i x + a b^{2} h\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, {\left(a^{2} b i x + a^{2} b h\right)} \log\left({\left(e x + d\right)}^{n} c\right)}{g x + f}, x\right)"," ",0,"integral((a^3*i*x + a^3*h + (b^3*i*x + b^3*h)*log((e*x + d)^n*c)^3 + 3*(a*b^2*i*x + a*b^2*h)*log((e*x + d)^n*c)^2 + 3*(a^2*b*i*x + a^2*b*h)*log((e*x + d)^n*c))/(g*x + f), x)","F",0
231,0,0,0,1.143611," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, a b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b \log\left({\left(e x + d\right)}^{n} c\right) + a^{3}}{g x + f}, x\right)"," ",0,"integral((b^3*log((e*x + d)^n*c)^3 + 3*a*b^2*log((e*x + d)^n*c)^2 + 3*a^2*b*log((e*x + d)^n*c) + a^3)/(g*x + f), x)","F",0
232,0,0,0,0.735620," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f)/(i*x+h),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, a b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b \log\left({\left(e x + d\right)}^{n} c\right) + a^{3}}{g i x^{2} + f h + {\left(g h + f i\right)} x}, x\right)"," ",0,"integral((b^3*log((e*x + d)^n*c)^3 + 3*a*b^2*log((e*x + d)^n*c)^2 + 3*a^2*b*log((e*x + d)^n*c) + a^3)/(g*i*x^2 + f*h + (g*h + f*i)*x), x)","F",0
233,0,0,0,1.047579," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f)/(i*x+h)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, a b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b \log\left({\left(e x + d\right)}^{n} c\right) + a^{3}}{g i^{2} x^{3} + f h^{2} + {\left(2 \, g h i + f i^{2}\right)} x^{2} + {\left(g h^{2} + 2 \, f h i\right)} x}, x\right)"," ",0,"integral((b^3*log((e*x + d)^n*c)^3 + 3*a*b^2*log((e*x + d)^n*c)^2 + 3*a^2*b*log((e*x + d)^n*c) + a^3)/(g*i^2*x^3 + f*h^2 + (2*g*h*i + f*i^2)*x^2 + (g*h^2 + 2*f*h*i)*x), x)","F",0
234,0,0,0,0.823246," ","integrate((i*x+h)/(g*x+f)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{i x + h}{a g x + a f + {\left(b g x + b f\right)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral((i*x + h)/(a*g*x + a*f + (b*g*x + b*f)*log((e*x + d)^n*c)), x)","F",0
235,0,0,0,1.193829," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a g x + a f + {\left(b g x + b f\right)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral(1/(a*g*x + a*f + (b*g*x + b*f)*log((e*x + d)^n*c)), x)","F",0
236,0,0,0,1.062992," ","integrate(1/(g*x+f)/(i*x+h)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a g i x^{2} + a f h + {\left(a g h + a f i\right)} x + {\left(b g i x^{2} + b f h + {\left(b g h + b f i\right)} x\right)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral(1/(a*g*i*x^2 + a*f*h + (a*g*h + a*f*i)*x + (b*g*i*x^2 + b*f*h + (b*g*h + b*f*i)*x)*log((e*x + d)^n*c)), x)","F",0
237,0,0,0,0.947620," ","integrate(1/(g*x+f)/(i*x+h)^2/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a g i^{2} x^{3} + a f h^{2} + {\left(2 \, a g h i + a f i^{2}\right)} x^{2} + {\left(a g h^{2} + 2 \, a f h i\right)} x + {\left(b g i^{2} x^{3} + b f h^{2} + {\left(2 \, b g h i + b f i^{2}\right)} x^{2} + {\left(b g h^{2} + 2 \, b f h i\right)} x\right)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral(1/(a*g*i^2*x^3 + a*f*h^2 + (2*a*g*h*i + a*f*i^2)*x^2 + (a*g*h^2 + 2*a*f*h*i)*x + (b*g*i^2*x^3 + b*f*h^2 + (2*b*g*h*i + b*f*i^2)*x^2 + (b*g*h^2 + 2*b*f*h*i)*x)*log((e*x + d)^n*c)), x)","F",0
238,0,0,0,1.404503," ","integrate((i*x+h)/(g*x+f)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{i x + h}{a^{2} g x + a^{2} f + {\left(b^{2} g x + b^{2} f\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, {\left(a b g x + a b f\right)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral((i*x + h)/(a^2*g*x + a^2*f + (b^2*g*x + b^2*f)*log((e*x + d)^n*c)^2 + 2*(a*b*g*x + a*b*f)*log((e*x + d)^n*c)), x)","F",0
239,0,0,0,1.039824," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} g x + a^{2} f + {\left(b^{2} g x + b^{2} f\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, {\left(a b g x + a b f\right)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral(1/(a^2*g*x + a^2*f + (b^2*g*x + b^2*f)*log((e*x + d)^n*c)^2 + 2*(a*b*g*x + a*b*f)*log((e*x + d)^n*c)), x)","F",0
240,0,0,0,1.054499," ","integrate(1/(g*x+f)/(i*x+h)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} g i x^{2} + a^{2} f h + {\left(b^{2} g i x^{2} + b^{2} f h + {\left(b^{2} g h + b^{2} f i\right)} x\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + {\left(a^{2} g h + a^{2} f i\right)} x + 2 \, {\left(a b g i x^{2} + a b f h + {\left(a b g h + a b f i\right)} x\right)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral(1/(a^2*g*i*x^2 + a^2*f*h + (b^2*g*i*x^2 + b^2*f*h + (b^2*g*h + b^2*f*i)*x)*log((e*x + d)^n*c)^2 + (a^2*g*h + a^2*f*i)*x + 2*(a*b*g*i*x^2 + a*b*f*h + (a*b*g*h + a*b*f*i)*x)*log((e*x + d)^n*c)), x)","F",0
241,0,0,0,1.136672," ","integrate(1/(g*x+f)/(i*x+h)^2/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} g i^{2} x^{3} + a^{2} f h^{2} + {\left(2 \, a^{2} g h i + a^{2} f i^{2}\right)} x^{2} + {\left(b^{2} g i^{2} x^{3} + b^{2} f h^{2} + {\left(2 \, b^{2} g h i + b^{2} f i^{2}\right)} x^{2} + {\left(b^{2} g h^{2} + 2 \, b^{2} f h i\right)} x\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + {\left(a^{2} g h^{2} + 2 \, a^{2} f h i\right)} x + 2 \, {\left(a b g i^{2} x^{3} + a b f h^{2} + {\left(2 \, a b g h i + a b f i^{2}\right)} x^{2} + {\left(a b g h^{2} + 2 \, a b f h i\right)} x\right)} \log\left({\left(e x + d\right)}^{n} c\right)}, x\right)"," ",0,"integral(1/(a^2*g*i^2*x^3 + a^2*f*h^2 + (2*a^2*g*h*i + a^2*f*i^2)*x^2 + (b^2*g*i^2*x^3 + b^2*f*h^2 + (2*b^2*g*h*i + b^2*f*i^2)*x^2 + (b^2*g*h^2 + 2*b^2*f*h*i)*x)*log((e*x + d)^n*c)^2 + (a^2*g*h^2 + 2*a^2*f*h*i)*x + 2*(a*b*g*i^2*x^3 + a*b*f*h^2 + (2*a*b*g*h*i + a*b*f*i^2)*x^2 + (a*b*g*h^2 + 2*a*b*f*h*i)*x)*log((e*x + d)^n*c)), x)","F",0
242,0,0,0,1.160208," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + a x^{3}}{g x + f}, x\right)"," ",0,"integral((b*x^3*log((e*x + d)^n*c) + a*x^3)/(g*x + f), x)","F",0
243,0,0,0,1.010427," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + a x^{2}}{g x + f}, x\right)"," ",0,"integral((b*x^2*log((e*x + d)^n*c) + a*x^2)/(g*x + f), x)","F",0
244,0,0,0,1.285610," ","integrate(x*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x \log\left({\left(e x + d\right)}^{n} c\right) + a x}{g x + f}, x\right)"," ",0,"integral((b*x*log((e*x + d)^n*c) + a*x)/(g*x + f), x)","F",0
245,0,0,0,1.208258," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g x + f}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g*x + f), x)","F",0
246,0,0,0,0.806531," ","integrate((a+b*log(c*(e*x+d)^n))/x/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g x^{2} + f x}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g*x^2 + f*x), x)","F",0
247,0,0,0,0.960504," ","integrate((a+b*log(c*(e*x+d)^n))/x^2/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g x^{3} + f x^{2}}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g*x^3 + f*x^2), x)","F",0
248,0,0,0,1.108317," ","integrate((a+b*log(c*(e*x+d)^n))/x^3/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g x^{4} + f x^{3}}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g*x^4 + f*x^3), x)","F",0
249,0,0,0,0.965713," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + a x^{3}}{g^{2} x^{2} + 2 \, f g x + f^{2}}, x\right)"," ",0,"integral((b*x^3*log((e*x + d)^n*c) + a*x^3)/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
250,0,0,0,1.013000," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + a x^{2}}{g^{2} x^{2} + 2 \, f g x + f^{2}}, x\right)"," ",0,"integral((b*x^2*log((e*x + d)^n*c) + a*x^2)/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
251,0,0,0,1.161468," ","integrate(x*(a+b*log(c*(e*x+d)^n))/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x \log\left({\left(e x + d\right)}^{n} c\right) + a x}{g^{2} x^{2} + 2 \, f g x + f^{2}}, x\right)"," ",0,"integral((b*x*log((e*x + d)^n*c) + a*x)/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
252,1,95,0,1.050592," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^2,x, algorithm=""fricas"")","-\frac{a e f - a d g - {\left(b e g n x + b d g n\right)} \log\left(e x + d\right) + {\left(b e g n x + b e f n\right)} \log\left(g x + f\right) + {\left(b e f - b d g\right)} \log\left(c\right)}{e f^{2} g - d f g^{2} + {\left(e f g^{2} - d g^{3}\right)} x}"," ",0,"-(a*e*f - a*d*g - (b*e*g*n*x + b*d*g*n)*log(e*x + d) + (b*e*g*n*x + b*e*f*n)*log(g*x + f) + (b*e*f - b*d*g)*log(c))/(e*f^2*g - d*f*g^2 + (e*f*g^2 - d*g^3)*x)","A",0
253,0,0,0,0.964877," ","integrate((a+b*log(c*(e*x+d)^n))/x/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g^{2} x^{3} + 2 \, f g x^{2} + f^{2} x}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g^2*x^3 + 2*f*g*x^2 + f^2*x), x)","F",0
254,0,0,0,1.036855," ","integrate((a+b*log(c*(e*x+d)^n))/x^2/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g^{2} x^{4} + 2 \, f g x^{3} + f^{2} x^{2}}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g^2*x^4 + 2*f*g*x^3 + f^2*x^2), x)","F",0
255,0,0,0,0.782401," ","integrate((a+b*log(c*(e*x+d)^n))/x^3/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g^{2} x^{5} + 2 \, f g x^{4} + f^{2} x^{3}}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g^2*x^5 + 2*f*g*x^4 + f^2*x^3), x)","F",0
256,0,0,0,0.965466," ","integrate(x^5*(a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{5} \log\left({\left(e x + d\right)}^{n} c\right) + a x^{5}}{g x^{2} + f}, x\right)"," ",0,"integral((b*x^5*log((e*x + d)^n*c) + a*x^5)/(g*x^2 + f), x)","F",0
257,0,0,0,1.038201," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + a x^{3}}{g x^{2} + f}, x\right)"," ",0,"integral((b*x^3*log((e*x + d)^n*c) + a*x^3)/(g*x^2 + f), x)","F",0
258,0,0,0,1.613620," ","integrate(x*(a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x \log\left({\left(e x + d\right)}^{n} c\right) + a x}{g x^{2} + f}, x\right)"," ",0,"integral((b*x*log((e*x + d)^n*c) + a*x)/(g*x^2 + f), x)","F",0
259,0,0,0,1.043587," ","integrate((a+b*log(c*(e*x+d)^n))/x/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g x^{3} + f x}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g*x^3 + f*x), x)","F",0
260,0,0,0,1.295995," ","integrate((a+b*log(c*(e*x+d)^n))/x^3/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g x^{5} + f x^{3}}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g*x^5 + f*x^3), x)","F",0
261,0,0,0,0.859860," ","integrate(x^4*(a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \log\left({\left(e x + d\right)}^{n} c\right) + a x^{4}}{g x^{2} + f}, x\right)"," ",0,"integral((b*x^4*log((e*x + d)^n*c) + a*x^4)/(g*x^2 + f), x)","F",0
262,0,0,0,0.952341," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + a x^{2}}{g x^{2} + f}, x\right)"," ",0,"integral((b*x^2*log((e*x + d)^n*c) + a*x^2)/(g*x^2 + f), x)","F",0
263,0,0,0,1.159275," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g x^{2} + f}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g*x^2 + f), x)","F",0
264,0,0,0,0.920028," ","integrate((a+b*log(c*(e*x+d)^n))/x^2/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g x^{4} + f x^{2}}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g*x^4 + f*x^2), x)","F",0
265,0,0,0,0.673417," ","integrate((a+b*log(c*(e*x+d)^n))/x^4/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g x^{6} + f x^{4}}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g*x^6 + f*x^4), x)","F",0
266,0,0,0,0.920864," ","integrate(x^5*(a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{5} \log\left({\left(e x + d\right)}^{n} c\right) + a x^{5}}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}, x\right)"," ",0,"integral((b*x^5*log((e*x + d)^n*c) + a*x^5)/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
267,0,0,0,1.146512," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + a x^{3}}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}, x\right)"," ",0,"integral((b*x^3*log((e*x + d)^n*c) + a*x^3)/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
268,1,373,0,1.112226," ","integrate(x*(a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""fricas"")","\left[-\frac{2 \, a e^{2} f^{2} + 2 \, a d^{2} f g + {\left(b d e g n x^{2} + b d e f n\right)} \sqrt{-f g} \log\left(\frac{g x^{2} - 2 \, \sqrt{-f g} x - f}{g x^{2} + f}\right) + {\left(b e^{2} f g n x^{2} + b e^{2} f^{2} n\right)} \log\left(g x^{2} + f\right) - 2 \, {\left(b e^{2} f g n x^{2} - b d^{2} f g n\right)} \log\left(e x + d\right) + 2 \, {\left(b e^{2} f^{2} + b d^{2} f g\right)} \log\left(c\right)}{4 \, {\left(e^{2} f^{3} g + d^{2} f^{2} g^{2} + {\left(e^{2} f^{2} g^{2} + d^{2} f g^{3}\right)} x^{2}\right)}}, -\frac{2 \, a e^{2} f^{2} + 2 \, a d^{2} f g - 2 \, {\left(b d e g n x^{2} + b d e f n\right)} \sqrt{f g} \arctan\left(\frac{\sqrt{f g} x}{f}\right) + {\left(b e^{2} f g n x^{2} + b e^{2} f^{2} n\right)} \log\left(g x^{2} + f\right) - 2 \, {\left(b e^{2} f g n x^{2} - b d^{2} f g n\right)} \log\left(e x + d\right) + 2 \, {\left(b e^{2} f^{2} + b d^{2} f g\right)} \log\left(c\right)}{4 \, {\left(e^{2} f^{3} g + d^{2} f^{2} g^{2} + {\left(e^{2} f^{2} g^{2} + d^{2} f g^{3}\right)} x^{2}\right)}}\right]"," ",0,"[-1/4*(2*a*e^2*f^2 + 2*a*d^2*f*g + (b*d*e*g*n*x^2 + b*d*e*f*n)*sqrt(-f*g)*log((g*x^2 - 2*sqrt(-f*g)*x - f)/(g*x^2 + f)) + (b*e^2*f*g*n*x^2 + b*e^2*f^2*n)*log(g*x^2 + f) - 2*(b*e^2*f*g*n*x^2 - b*d^2*f*g*n)*log(e*x + d) + 2*(b*e^2*f^2 + b*d^2*f*g)*log(c))/(e^2*f^3*g + d^2*f^2*g^2 + (e^2*f^2*g^2 + d^2*f*g^3)*x^2), -1/4*(2*a*e^2*f^2 + 2*a*d^2*f*g - 2*(b*d*e*g*n*x^2 + b*d*e*f*n)*sqrt(f*g)*arctan(sqrt(f*g)*x/f) + (b*e^2*f*g*n*x^2 + b*e^2*f^2*n)*log(g*x^2 + f) - 2*(b*e^2*f*g*n*x^2 - b*d^2*f*g*n)*log(e*x + d) + 2*(b*e^2*f^2 + b*d^2*f*g)*log(c))/(e^2*f^3*g + d^2*f^2*g^2 + (e^2*f^2*g^2 + d^2*f*g^3)*x^2)]","A",0
269,0,0,0,0.897479," ","integrate((a+b*log(c*(e*x+d)^n))/x/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g^{2} x^{5} + 2 \, f g x^{3} + f^{2} x}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g^2*x^5 + 2*f*g*x^3 + f^2*x), x)","F",0
270,0,0,0,1.131721," ","integrate((a+b*log(c*(e*x+d)^n))/x^3/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g^{2} x^{7} + 2 \, f g x^{5} + f^{2} x^{3}}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g^2*x^7 + 2*f*g*x^5 + f^2*x^3), x)","F",0
271,0,0,0,0.971396," ","integrate(x^4*(a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \log\left({\left(e x + d\right)}^{n} c\right) + a x^{4}}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}, x\right)"," ",0,"integral((b*x^4*log((e*x + d)^n*c) + a*x^4)/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
272,0,0,0,1.066837," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + a x^{2}}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}, x\right)"," ",0,"integral((b*x^2*log((e*x + d)^n*c) + a*x^2)/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
273,0,0,0,0.798540," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
274,0,0,0,1.010347," ","integrate((a+b*log(c*(e*x+d)^n))/x^2/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g^{2} x^{6} + 2 \, f g x^{4} + f^{2} x^{2}}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(g^2*x^6 + 2*f*g*x^4 + f^2*x^2), x)","F",0
275,0,0,0,0.978076," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x^2+2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{g x^{2} + 2} b \log\left({\left(e x + d\right)}^{n} c\right) + \sqrt{g x^{2} + 2} a}{g x^{2} + 2}, x\right)"," ",0,"integral((sqrt(g*x^2 + 2)*b*log((e*x + d)^n*c) + sqrt(g*x^2 + 2)*a)/(g*x^2 + 2), x)","F",0
276,0,0,0,1.185081," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x^2+f)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{g x^{2} + f} b \log\left({\left(e x + d\right)}^{n} c\right) + \sqrt{g x^{2} + f} a}{g x^{2} + f}, x\right)"," ",0,"integral((sqrt(g*x^2 + f)*b*log((e*x + d)^n*c) + sqrt(g*x^2 + f)*a)/(g*x^2 + f), x)","F",0
277,0,0,0,0.800746," ","integrate((a+b*log(c*(e*x+d)^n))/(-g*x+2)^(1/2)/(g*x+2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{g x + 2} \sqrt{-g x + 2} b \log\left({\left(e x + d\right)}^{n} c\right) + \sqrt{g x + 2} \sqrt{-g x + 2} a}{g^{2} x^{2} - 4}, x\right)"," ",0,"integral(-(sqrt(g*x + 2)*sqrt(-g*x + 2)*b*log((e*x + d)^n*c) + sqrt(g*x + 2)*sqrt(-g*x + 2)*a)/(g^2*x^2 - 4), x)","F",0
278,0,0,0,1.111651," ","integrate((a+b*log(c*(e*x+d)^n))/(-g*x+f)^(1/2)/(g*x+f)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{g x + f} \sqrt{-g x + f} b \log\left({\left(e x + d\right)}^{n} c\right) + \sqrt{g x + f} \sqrt{-g x + f} a}{g^{2} x^{2} - f^{2}}, x\right)"," ",0,"integral(-(sqrt(g*x + f)*sqrt(-g*x + f)*b*log((e*x + d)^n*c) + sqrt(g*x + f)*sqrt(-g*x + f)*a)/(g^2*x^2 - f^2), x)","F",0
279,1,21,0,1.265485," ","integrate(log(2*e/(f*x+e))/(-f^2*x^2+e^2),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-\frac{2 \, e}{f x + e} + 1\right)}{2 \, e f}"," ",0,"1/2*dilog(-2*e/(f*x + e) + 1)/(e*f)","A",0
280,0,0,0,1.211302," ","integrate(log(e/(f*x+e))/(-f^2*x^2+e^2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\log\left(\frac{e}{f x + e}\right)}{f^{2} x^{2} - e^{2}}, x\right)"," ",0,"integral(-log(e/(f*x + e))/(f^2*x^2 - e^2), x)","F",0
281,1,43,0,1.122446," ","integrate((a+b*log(2*e/(f*x+e)))/(-f^2*x^2+e^2),x, algorithm=""fricas"")","\frac{b {\rm Li}_2\left(-\frac{2 \, e}{f x + e} + 1\right) + a \log\left(f x + e\right) - a \log\left(f x - e\right)}{2 \, e f}"," ",0,"1/2*(b*dilog(-2*e/(f*x + e) + 1) + a*log(f*x + e) - a*log(f*x - e))/(e*f)","A",0
282,0,0,0,1.269295," ","integrate((a+b*log(e/(f*x+e)))/(-f^2*x^2+e^2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \log\left(\frac{e}{f x + e}\right) + a}{f^{2} x^{2} - e^{2}}, x\right)"," ",0,"integral(-(b*log(e/(f*x + e)) + a)/(f^2*x^2 - e^2), x)","F",0
283,0,0,0,1.069103," ","integrate(x^5*log(d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{5} \log\left(d x + c\right)}{b x^{3} + a}, x\right)"," ",0,"integral(x^5*log(d*x + c)/(b*x^3 + a), x)","F",0
284,0,0,0,0.949023," ","integrate(x^2*log(d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2} \log\left(d x + c\right)}{b x^{3} + a}, x\right)"," ",0,"integral(x^2*log(d*x + c)/(b*x^3 + a), x)","F",0
285,0,0,0,1.031089," ","integrate(log(d*x+c)/x/(b*x^3+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(d x + c\right)}{b x^{4} + a x}, x\right)"," ",0,"integral(log(d*x + c)/(b*x^4 + a*x), x)","F",0
286,0,0,0,1.246275," ","integrate(log(d*x+c)/x^4/(b*x^3+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(d x + c\right)}{b x^{7} + a x^{4}}, x\right)"," ",0,"integral(log(d*x + c)/(b*x^7 + a*x^4), x)","F",0
287,0,0,0,0.929196," ","integrate(x^4*log(d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{4} \log\left(d x + c\right)}{b x^{3} + a}, x\right)"," ",0,"integral(x^4*log(d*x + c)/(b*x^3 + a), x)","F",0
288,0,0,0,0.944389," ","integrate(x^3*log(d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{3} \log\left(d x + c\right)}{b x^{3} + a}, x\right)"," ",0,"integral(x^3*log(d*x + c)/(b*x^3 + a), x)","F",0
289,0,0,0,0.996000," ","integrate(x*log(d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x \log\left(d x + c\right)}{b x^{3} + a}, x\right)"," ",0,"integral(x*log(d*x + c)/(b*x^3 + a), x)","F",0
290,0,0,0,0.846445," ","integrate(log(d*x+c)/(b*x^3+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(d x + c\right)}{b x^{3} + a}, x\right)"," ",0,"integral(log(d*x + c)/(b*x^3 + a), x)","F",0
291,0,0,0,0.868906," ","integrate(log(d*x+c)/x^2/(b*x^3+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(d x + c\right)}{b x^{5} + a x^{2}}, x\right)"," ",0,"integral(log(d*x + c)/(b*x^5 + a*x^2), x)","F",0
292,0,0,0,1.200931," ","integrate(log(d*x+c)/x^3/(b*x^3+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(d x + c\right)}{b x^{6} + a x^{3}}, x\right)"," ",0,"integral(log(d*x + c)/(b*x^6 + a*x^3), x)","F",0
293,0,0,0,1.090666," ","integrate(x^7*log(d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{7} \log\left(d x + c\right)}{b x^{4} + a}, x\right)"," ",0,"integral(x^7*log(d*x + c)/(b*x^4 + a), x)","F",0
294,0,0,0,1.016312," ","integrate(x^3*log(d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{3} \log\left(d x + c\right)}{b x^{4} + a}, x\right)"," ",0,"integral(x^3*log(d*x + c)/(b*x^4 + a), x)","F",0
295,0,0,0,1.052603," ","integrate(log(d*x+c)/x/(b*x^4+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(d x + c\right)}{b x^{5} + a x}, x\right)"," ",0,"integral(log(d*x + c)/(b*x^5 + a*x), x)","F",0
296,0,0,0,1.063902," ","integrate(x^5*log(d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{5} \log\left(d x + c\right)}{b x^{4} + a}, x\right)"," ",0,"integral(x^5*log(d*x + c)/(b*x^4 + a), x)","F",0
297,0,0,0,0.901148," ","integrate(x*log(d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x \log\left(d x + c\right)}{b x^{4} + a}, x\right)"," ",0,"integral(x*log(d*x + c)/(b*x^4 + a), x)","F",0
298,0,0,0,0.853319," ","integrate(log(d*x+c)/x^3/(b*x^4+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(d x + c\right)}{b x^{7} + a x^{3}}, x\right)"," ",0,"integral(log(d*x + c)/(b*x^7 + a*x^3), x)","F",0
299,0,0,0,1.099304," ","integrate(x^4*log(d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{4} \log\left(d x + c\right)}{b x^{4} + a}, x\right)"," ",0,"integral(x^4*log(d*x + c)/(b*x^4 + a), x)","F",0
300,0,0,0,1.125467," ","integrate(x^2*log(d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2} \log\left(d x + c\right)}{b x^{4} + a}, x\right)"," ",0,"integral(x^2*log(d*x + c)/(b*x^4 + a), x)","F",0
301,0,0,0,1.167312," ","integrate(log(d*x+c)/(b*x^4+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(d x + c\right)}{b x^{4} + a}, x\right)"," ",0,"integral(log(d*x + c)/(b*x^4 + a), x)","F",0
302,0,0,0,1.160603," ","integrate(log(d*x+c)/x^2/(b*x^4+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(d x + c\right)}{b x^{6} + a x^{2}}, x\right)"," ",0,"integral(log(d*x + c)/(b*x^6 + a*x^2), x)","F",0
303,1,117,0,1.075984," ","integrate((f+g/x)*x*(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","-\frac{{\left(b e^{2} f n - 2 \, a e^{2} f\right)} x^{2} - 2 \, {\left(2 \, a e^{2} g + {\left(b d e f - 2 \, b e^{2} g\right)} n\right)} x - 2 \, {\left(b e^{2} f n x^{2} + 2 \, b e^{2} g n x - {\left(b d^{2} f - 2 \, b d e g\right)} n\right)} \log\left(e x + d\right) - 2 \, {\left(b e^{2} f x^{2} + 2 \, b e^{2} g x\right)} \log\left(c\right)}{4 \, e^{2}}"," ",0,"-1/4*((b*e^2*f*n - 2*a*e^2*f)*x^2 - 2*(2*a*e^2*g + (b*d*e*f - 2*b*e^2*g)*n)*x - 2*(b*e^2*f*n*x^2 + 2*b*e^2*g*n*x - (b*d^2*f - 2*b*d*e*g)*n)*log(e*x + d) - 2*(b*e^2*f*x^2 + 2*b*e^2*g*x)*log(c))/e^2","A",0
304,1,219,0,0.911024," ","integrate((f+g/x)^2*x^2*(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","-\frac{2 \, {\left(b e^{3} f^{2} n - 3 \, a e^{3} f^{2}\right)} x^{3} - 3 \, {\left(6 \, a e^{3} f g + {\left(b d e^{2} f^{2} - 3 \, b e^{3} f g\right)} n\right)} x^{2} - 6 \, {\left(3 \, a e^{3} g^{2} - {\left(b d^{2} e f^{2} - 3 \, b d e^{2} f g + 3 \, b e^{3} g^{2}\right)} n\right)} x - 6 \, {\left(b e^{3} f^{2} n x^{3} + 3 \, b e^{3} f g n x^{2} + 3 \, b e^{3} g^{2} n x + {\left(b d^{3} f^{2} - 3 \, b d^{2} e f g + 3 \, b d e^{2} g^{2}\right)} n\right)} \log\left(e x + d\right) - 6 \, {\left(b e^{3} f^{2} x^{3} + 3 \, b e^{3} f g x^{2} + 3 \, b e^{3} g^{2} x\right)} \log\left(c\right)}{18 \, e^{3}}"," ",0,"-1/18*(2*(b*e^3*f^2*n - 3*a*e^3*f^2)*x^3 - 3*(6*a*e^3*f*g + (b*d*e^2*f^2 - 3*b*e^3*f*g)*n)*x^2 - 6*(3*a*e^3*g^2 - (b*d^2*e*f^2 - 3*b*d*e^2*f*g + 3*b*e^3*g^2)*n)*x - 6*(b*e^3*f^2*n*x^3 + 3*b*e^3*f*g*n*x^2 + 3*b*e^3*g^2*n*x + (b*d^3*f^2 - 3*b*d^2*e*f*g + 3*b*d*e^2*g^2)*n)*log(e*x + d) - 6*(b*e^3*f^2*x^3 + 3*b*e^3*f*g*x^2 + 3*b*e^3*g^2*x)*log(c))/e^3","A",0
305,1,336,0,1.191926," ","integrate((f+g/x)^3*x^3*(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","-\frac{3 \, {\left(b e^{4} f^{3} n - 4 \, a e^{4} f^{3}\right)} x^{4} - 4 \, {\left(12 \, a e^{4} f^{2} g + {\left(b d e^{3} f^{3} - 4 \, b e^{4} f^{2} g\right)} n\right)} x^{3} - 6 \, {\left(12 \, a e^{4} f g^{2} - {\left(b d^{2} e^{2} f^{3} - 4 \, b d e^{3} f^{2} g + 6 \, b e^{4} f g^{2}\right)} n\right)} x^{2} - 12 \, {\left(4 \, a e^{4} g^{3} + {\left(b d^{3} e f^{3} - 4 \, b d^{2} e^{2} f^{2} g + 6 \, b d e^{3} f g^{2} - 4 \, b e^{4} g^{3}\right)} n\right)} x - 12 \, {\left(b e^{4} f^{3} n x^{4} + 4 \, b e^{4} f^{2} g n x^{3} + 6 \, b e^{4} f g^{2} n x^{2} + 4 \, b e^{4} g^{3} n x - {\left(b d^{4} f^{3} - 4 \, b d^{3} e f^{2} g + 6 \, b d^{2} e^{2} f g^{2} - 4 \, b d e^{3} g^{3}\right)} n\right)} \log\left(e x + d\right) - 12 \, {\left(b e^{4} f^{3} x^{4} + 4 \, b e^{4} f^{2} g x^{3} + 6 \, b e^{4} f g^{2} x^{2} + 4 \, b e^{4} g^{3} x\right)} \log\left(c\right)}{48 \, e^{4}}"," ",0,"-1/48*(3*(b*e^4*f^3*n - 4*a*e^4*f^3)*x^4 - 4*(12*a*e^4*f^2*g + (b*d*e^3*f^3 - 4*b*e^4*f^2*g)*n)*x^3 - 6*(12*a*e^4*f*g^2 - (b*d^2*e^2*f^3 - 4*b*d*e^3*f^2*g + 6*b*e^4*f*g^2)*n)*x^2 - 12*(4*a*e^4*g^3 + (b*d^3*e*f^3 - 4*b*d^2*e^2*f^2*g + 6*b*d*e^3*f*g^2 - 4*b*e^4*g^3)*n)*x - 12*(b*e^4*f^3*n*x^4 + 4*b*e^4*f^2*g*n*x^3 + 6*b*e^4*f*g^2*n*x^2 + 4*b*e^4*g^3*n*x - (b*d^4*f^3 - 4*b*d^3*e*f^2*g + 6*b*d^2*e^2*f*g^2 - 4*b*d*e^3*g^3)*n)*log(e*x + d) - 12*(b*e^4*f^3*x^4 + 4*b*e^4*f^2*g*x^3 + 6*b*e^4*f*g^2*x^2 + 4*b*e^4*g^3*x)*log(c))/e^4","B",0
306,0,0,0,1.092290," ","integrate((a+b*log(c*(e*x+d)^n))/(f+g/x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{f x + g}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)/(f*x + g), x)","F",0
307,1,95,0,1.045089," ","integrate((a+b*log(c*(e*x+d)^n))/(f+g/x)^2/x^2,x, algorithm=""fricas"")","-\frac{a d f - a e g + {\left(b e f n x + b d f n\right)} \log\left(e x + d\right) - {\left(b e f n x + b e g n\right)} \log\left(f x + g\right) + {\left(b d f - b e g\right)} \log\left(c\right)}{d f^{2} g - e f g^{2} + {\left(d f^{3} - e f^{2} g\right)} x}"," ",0,"-(a*d*f - a*e*g + (b*e*f*n*x + b*d*f*n)*log(e*x + d) - (b*e*f*n*x + b*e*g*n)*log(f*x + g) + (b*d*f - b*e*g)*log(c))/(d*f^2*g - e*f*g^2 + (d*f^3 - e*f^2*g)*x)","A",0
308,1,272,0,1.007679," ","integrate((a+b*log(c*(e*x+d)^n))/(f+g/x)^3/x^3,x, algorithm=""fricas"")","-\frac{a d^{2} f^{2} - 2 \, a d e f g + a e^{2} g^{2} + {\left(b d e f^{2} - b e^{2} f g\right)} n x + {\left(b d e f g - b e^{2} g^{2}\right)} n - {\left(b e^{2} f^{2} n x^{2} + 2 \, b e^{2} f g n x - {\left(b d^{2} f^{2} - 2 \, b d e f g\right)} n\right)} \log\left(e x + d\right) + {\left(b e^{2} f^{2} n x^{2} + 2 \, b e^{2} f g n x + b e^{2} g^{2} n\right)} \log\left(f x + g\right) + {\left(b d^{2} f^{2} - 2 \, b d e f g + b e^{2} g^{2}\right)} \log\left(c\right)}{2 \, {\left(d^{2} f^{3} g^{2} - 2 \, d e f^{2} g^{3} + e^{2} f g^{4} + {\left(d^{2} f^{5} - 2 \, d e f^{4} g + e^{2} f^{3} g^{2}\right)} x^{2} + 2 \, {\left(d^{2} f^{4} g - 2 \, d e f^{3} g^{2} + e^{2} f^{2} g^{3}\right)} x\right)}}"," ",0,"-1/2*(a*d^2*f^2 - 2*a*d*e*f*g + a*e^2*g^2 + (b*d*e*f^2 - b*e^2*f*g)*n*x + (b*d*e*f*g - b*e^2*g^2)*n - (b*e^2*f^2*n*x^2 + 2*b*e^2*f*g*n*x - (b*d^2*f^2 - 2*b*d*e*f*g)*n)*log(e*x + d) + (b*e^2*f^2*n*x^2 + 2*b*e^2*f*g*n*x + b*e^2*g^2*n)*log(f*x + g) + (b*d^2*f^2 - 2*b*d*e*f*g + b*e^2*g^2)*log(c))/(d^2*f^3*g^2 - 2*d*e*f^2*g^3 + e^2*f*g^4 + (d^2*f^5 - 2*d*e*f^4*g + e^2*f^3*g^2)*x^2 + 2*(d^2*f^4*g - 2*d*e*f^3*g^2 + e^2*f^2*g^3)*x)","B",0
309,0,0,0,0.895114," ","integrate(log(b*x+a)/(c+d/x^2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2} \log\left(b x + a\right)}{c x^{2} + d}, x\right)"," ",0,"integral(x^2*log(b*x + a)/(c*x^2 + d), x)","F",0
310,0,0,0,1.221721," ","integrate(x^5*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{5} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b x^{5} \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} x^{5}}{g x^{2} + f}, x\right)"," ",0,"integral((b^2*x^5*log((e*x + d)^n*c)^2 + 2*a*b*x^5*log((e*x + d)^n*c) + a^2*x^5)/(g*x^2 + f), x)","F",0
311,0,0,0,1.004193," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} x^{3}}{g x^{2} + f}, x\right)"," ",0,"integral((b^2*x^3*log((e*x + d)^n*c)^2 + 2*a*b*x^3*log((e*x + d)^n*c) + a^2*x^3)/(g*x^2 + f), x)","F",0
312,0,0,0,1.230994," ","integrate(x*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b x \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} x}{g x^{2} + f}, x\right)"," ",0,"integral((b^2*x*log((e*x + d)^n*c)^2 + 2*a*b*x*log((e*x + d)^n*c) + a^2*x)/(g*x^2 + f), x)","F",0
313,0,0,0,1.111266," ","integrate((a+b*log(c*(e*x+d)^n))^2/x/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g x^{3} + f x}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g*x^3 + f*x), x)","F",0
314,0,0,0,1.109213," ","integrate((a+b*log(c*(e*x+d)^n))^2/x^3/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g x^{5} + f x^{3}}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g*x^5 + f*x^3), x)","F",0
315,0,0,0,1.318701," ","integrate(x^4*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{4} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b x^{4} \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} x^{4}}{g x^{2} + f}, x\right)"," ",0,"integral((b^2*x^4*log((e*x + d)^n*c)^2 + 2*a*b*x^4*log((e*x + d)^n*c) + a^2*x^4)/(g*x^2 + f), x)","F",0
316,0,0,0,0.773664," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} x^{2}}{g x^{2} + f}, x\right)"," ",0,"integral((b^2*x^2*log((e*x + d)^n*c)^2 + 2*a*b*x^2*log((e*x + d)^n*c) + a^2*x^2)/(g*x^2 + f), x)","F",0
317,0,0,0,0.990646," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g x^{2} + f}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g*x^2 + f), x)","F",0
318,0,0,0,0.575401," ","integrate((a+b*log(c*(e*x+d)^n))^2/x^2/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g x^{4} + f x^{2}}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g*x^4 + f*x^2), x)","F",0
319,0,0,0,1.123933," ","integrate((a+b*log(c*(e*x+d)^n))^2/x^4/(g*x^2+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g x^{6} + f x^{4}}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g*x^6 + f*x^4), x)","F",0
320,0,0,0,1.422136," ","integrate(x^5*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{5} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b x^{5} \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} x^{5}}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}, x\right)"," ",0,"integral((b^2*x^5*log((e*x + d)^n*c)^2 + 2*a*b*x^5*log((e*x + d)^n*c) + a^2*x^5)/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
321,0,0,0,1.228288," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} x^{3}}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}, x\right)"," ",0,"integral((b^2*x^3*log((e*x + d)^n*c)^2 + 2*a*b*x^3*log((e*x + d)^n*c) + a^2*x^3)/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
322,0,0,0,1.347716," ","integrate(x*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b x \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} x}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}, x\right)"," ",0,"integral((b^2*x*log((e*x + d)^n*c)^2 + 2*a*b*x*log((e*x + d)^n*c) + a^2*x)/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
323,0,0,0,1.349193," ","integrate((a+b*log(c*(e*x+d)^n))^2/x/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g^{2} x^{5} + 2 \, f g x^{3} + f^{2} x}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g^2*x^5 + 2*f*g*x^3 + f^2*x), x)","F",0
324,0,0,0,1.225002," ","integrate((a+b*log(c*(e*x+d)^n))^2/x^3/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g^{2} x^{7} + 2 \, f g x^{5} + f^{2} x^{3}}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g^2*x^7 + 2*f*g*x^5 + f^2*x^3), x)","F",0
325,0,0,0,1.287731," ","integrate(x^4*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{4} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b x^{4} \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} x^{4}}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}, x\right)"," ",0,"integral((b^2*x^4*log((e*x + d)^n*c)^2 + 2*a*b*x^4*log((e*x + d)^n*c) + a^2*x^4)/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
326,0,0,0,0.820420," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} x^{2}}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}, x\right)"," ",0,"integral((b^2*x^2*log((e*x + d)^n*c)^2 + 2*a*b*x^2*log((e*x + d)^n*c) + a^2*x^2)/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
327,0,0,0,0.976782," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
328,0,0,0,0.806803," ","integrate((a+b*log(c*(e*x+d)^n))^2/x^2/(g*x^2+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}{g^{2} x^{6} + 2 \, f g x^{4} + f^{2} x^{2}}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2)/(g^2*x^6 + 2*f*g*x^4 + f^2*x^2), x)","F",0
329,0,0,0,1.407221," ","integrate(log(c*(b*x+a)^n)^3/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(b x + a\right)}^{n} c\right)^{3}}{e x^{2} + d}, x\right)"," ",0,"integral(log((b*x + a)^n*c)^3/(e*x^2 + d), x)","F",0
330,0,0,0,1.043246," ","integrate(log(c*(b*x+a)^n)^2/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(b x + a\right)}^{n} c\right)^{2}}{e x^{2} + d}, x\right)"," ",0,"integral(log((b*x + a)^n*c)^2/(e*x^2 + d), x)","F",0
331,0,0,0,1.167094," ","integrate(log(c*(b*x+a)^n)/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(b x + a\right)}^{n} c\right)}{e x^{2} + d}, x\right)"," ",0,"integral(log((b*x + a)^n*c)/(e*x^2 + d), x)","F",0
332,0,0,0,1.183456," ","integrate(1/(e*x^2+d)/log(c*(b*x+a)^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(e x^{2} + d\right)} \log\left({\left(b x + a\right)}^{n} c\right)}, x\right)"," ",0,"integral(1/((e*x^2 + d)*log((b*x + a)^n*c)), x)","F",0
333,1,33,0,1.453660," ","integrate(log(c-a*(1-c)/b/(x^m))/x/(a+b*x^m),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-\frac{b c x^{m} + a c - a}{b x^{m}} + 1\right)}{a m}"," ",0,"dilog(-(b*c*x^m + a*c - a)/(b*x^m) + 1)/(a*m)","A",0
334,1,33,0,0.617121," ","integrate(log((-a+a*c+b*c*x^m)/b/(x^m))/x/(a+b*x^m),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-\frac{b c x^{m} + a c - a}{b x^{m}} + 1\right)}{a m}"," ",0,"dilog(-(b*c*x^m + a*c - a)/(b*x^m) + 1)/(a*m)","A",0
335,1,35,0,1.297562," ","integrate(log(c*(a+(a*c*d-d)/c/e/(x^m)))/x/(d+e*x^m),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-\frac{a c e x^{m} + {\left(a c - 1\right)} d}{e x^{m}} + 1\right)}{d m}"," ",0,"dilog(-(a*c*e*x^m + (a*c - 1)*d)/(e*x^m) + 1)/(d*m)","A",0
336,1,35,0,1.177919," ","integrate(log((-d+a*c*d+a*c*e*x^m)/e/(x^m))/x/(d+e*x^m),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-\frac{a c e x^{m} + {\left(a c - 1\right)} d}{e x^{m}} + 1\right)}{d m}"," ",0,"dilog(-(a*c*e*x^m + (a*c - 1)*d)/(e*x^m) + 1)/(d*m)","A",0
337,1,21,0,1.292098," ","integrate(log(2*a/(b*x+a))/(-b^2*x^2+a^2),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-\frac{2 \, a}{b x + a} + 1\right)}{2 \, a b}"," ",0,"1/2*dilog(-2*a/(b*x + a) + 1)/(a*b)","A",0
338,1,21,0,1.227329," ","integrate(log(2*a/(b*x+a))/(-b*x+a)/(b*x+a),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-\frac{2 \, a}{b x + a} + 1\right)}{2 \, a b}"," ",0,"1/2*dilog(-2*a/(b*x + a) + 1)/(a*b)","A",0
339,1,34,0,1.178637," ","integrate(log((a*(1-c)+b*(1+c)*x)/(b*x+a))/(-b^2*x^2+a^2),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(\frac{a c - {\left(b c + b\right)} x - a}{b x + a} + 1\right)}{2 \, a b}"," ",0,"1/2*dilog((a*c - (b*c + b)*x - a)/(b*x + a) + 1)/(a*b)","A",0
340,1,34,0,1.251289," ","integrate(log((a*(1-c)+b*(1+c)*x)/(b*x+a))/(-b*x+a)/(b*x+a),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(\frac{a c - {\left(b c + b\right)} x - a}{b x + a} + 1\right)}{2 \, a b}"," ",0,"1/2*dilog((a*c - (b*c + b)*x - a)/(b*x + a) + 1)/(a*b)","A",0
341,1,34,0,0.956529," ","integrate(log(1-c*(-b*x+a)/(b*x+a))/(-b^2*x^2+a^2),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(\frac{a c - {\left(b c + b\right)} x - a}{b x + a} + 1\right)}{2 \, a b}"," ",0,"1/2*dilog((a*c - (b*c + b)*x - a)/(b*x + a) + 1)/(a*b)","A",0
342,1,34,0,1.132795," ","integrate(log(1-c*(-b*x+a)/(b*x+a))/(-b*x+a)/(b*x+a),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(\frac{a c - {\left(b c + b\right)} x - a}{b x + a} + 1\right)}{2 \, a b}"," ",0,"1/2*dilog((a*c - (b*c + b)*x - a)/(b*x + a) + 1)/(a*b)","A",0
343,0,0,0,1.326262," ","integrate(log(c*(b*x+a)^n)^3/(e*x^2+d*x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(b x + a\right)}^{n} c\right)^{3}}{e x^{2} + d x}, x\right)"," ",0,"integral(log((b*x + a)^n*c)^3/(e*x^2 + d*x), x)","F",0
344,0,0,0,0.944509," ","integrate(log(c*(b*x+a)^n)^2/(e*x^2+d*x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(b x + a\right)}^{n} c\right)^{2}}{e x^{2} + d x}, x\right)"," ",0,"integral(log((b*x + a)^n*c)^2/(e*x^2 + d*x), x)","F",0
345,0,0,0,1.146635," ","integrate(log(c*(b*x+a)^n)/(e*x^2+d*x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(b x + a\right)}^{n} c\right)}{e x^{2} + d x}, x\right)"," ",0,"integral(log((b*x + a)^n*c)/(e*x^2 + d*x), x)","F",0
346,0,0,0,1.088537," ","integrate(1/(e*x^2+d*x)/log(c*(b*x+a)^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(e x^{2} + d x\right)} \log\left({\left(b x + a\right)}^{n} c\right)}, x\right)"," ",0,"integral(1/((e*x^2 + d*x)*log((b*x + a)^n*c)), x)","F",0
347,0,0,0,1.114262," ","integrate(log(c*(b*x+a)^n)^3/(f*x^2+e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(b x + a\right)}^{n} c\right)^{3}}{f x^{2} + e x + d}, x\right)"," ",0,"integral(log((b*x + a)^n*c)^3/(f*x^2 + e*x + d), x)","F",0
348,0,0,0,1.029045," ","integrate(log(c*(b*x+a)^n)^2/(f*x^2+e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(b x + a\right)}^{n} c\right)^{2}}{f x^{2} + e x + d}, x\right)"," ",0,"integral(log((b*x + a)^n*c)^2/(f*x^2 + e*x + d), x)","F",0
349,0,0,0,1.100596," ","integrate(log(c*(b*x+a)^n)/(f*x^2+e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(b x + a\right)}^{n} c\right)}{f x^{2} + e x + d}, x\right)"," ",0,"integral(log((b*x + a)^n*c)/(f*x^2 + e*x + d), x)","F",0
350,0,0,0,1.412577," ","integrate(1/(f*x^2+e*x+d)/log(c*(b*x+a)^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(f x^{2} + e x + d\right)} \log\left({\left(b x + a\right)}^{n} c\right)}, x\right)"," ",0,"integral(1/((f*x^2 + e*x + d)*log((b*x + a)^n*c)), x)","F",0
351,0,0,0,1.160999," ","integrate(x^3*log(x)/(c*x^2+b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{3} \log\left(x\right)}{c x^{2} + b x + a}, x\right)"," ",0,"integral(x^3*log(x)/(c*x^2 + b*x + a), x)","F",0
352,0,0,0,1.090243," ","integrate(x^2*log(x)/(c*x^2+b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2} \log\left(x\right)}{c x^{2} + b x + a}, x\right)"," ",0,"integral(x^2*log(x)/(c*x^2 + b*x + a), x)","F",0
353,0,0,0,0.920265," ","integrate(x*log(x)/(c*x^2+b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x \log\left(x\right)}{c x^{2} + b x + a}, x\right)"," ",0,"integral(x*log(x)/(c*x^2 + b*x + a), x)","F",0
354,0,0,0,1.074935," ","integrate(log(x)/(c*x^2+b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(x\right)}{c x^{2} + b x + a}, x\right)"," ",0,"integral(log(x)/(c*x^2 + b*x + a), x)","F",0
355,0,0,0,1.032068," ","integrate(log(x)/x/(c*x^2+b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(x\right)}{c x^{3} + b x^{2} + a x}, x\right)"," ",0,"integral(log(x)/(c*x^3 + b*x^2 + a*x), x)","F",0
356,0,0,0,1.179817," ","integrate(log(x)/x^2/(c*x^2+b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(x\right)}{c x^{4} + b x^{3} + a x^{2}}, x\right)"," ",0,"integral(log(x)/(c*x^4 + b*x^3 + a*x^2), x)","F",0
357,0,0,0,1.006147," ","integrate(log(x)/x^3/(c*x^2+b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(x\right)}{c x^{5} + b x^{4} + a x^{3}}, x\right)"," ",0,"integral(log(x)/(c*x^5 + b*x^4 + a*x^3), x)","F",0
358,0,0,0,1.307179," ","integrate(x^3*log(f*x^m)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left(b x^{3} \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a x^{3} \log\left(f x^{m}\right), x\right)"," ",0,"integral(b*x^3*log((e*x + d)^n*c)*log(f*x^m) + a*x^3*log(f*x^m), x)","F",0
359,0,0,0,1.218510," ","integrate(x^2*log(f*x^m)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left(b x^{2} \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a x^{2} \log\left(f x^{m}\right), x\right)"," ",0,"integral(b*x^2*log((e*x + d)^n*c)*log(f*x^m) + a*x^2*log(f*x^m), x)","F",0
360,0,0,0,0.932855," ","integrate(x*log(f*x^m)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left(b x \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a x \log\left(f x^{m}\right), x\right)"," ",0,"integral(b*x*log((e*x + d)^n*c)*log(f*x^m) + a*x*log(f*x^m), x)","F",0
361,0,0,0,0.945788," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left(b \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a \log\left(f x^{m}\right), x\right)"," ",0,"integral(b*log((e*x + d)^n*c)*log(f*x^m) + a*log(f*x^m), x)","F",0
362,0,0,0,1.266315," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a \log\left(f x^{m}\right)}{x}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c)*log(f*x^m) + a*log(f*x^m))/x, x)","F",0
363,0,0,0,0.984146," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a \log\left(f x^{m}\right)}{x^{2}}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c)*log(f*x^m) + a*log(f*x^m))/x^2, x)","F",0
364,0,0,0,0.777675," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a \log\left(f x^{m}\right)}{x^{3}}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c)*log(f*x^m) + a*log(f*x^m))/x^3, x)","F",0
365,0,0,0,0.738526," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a \log\left(f x^{m}\right)}{x^{4}}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c)*log(f*x^m) + a*log(f*x^m))/x^4, x)","F",0
366,0,0,0,1.140417," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a \log\left(f x^{m}\right)}{x^{5}}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c)*log(f*x^m) + a*log(f*x^m))/x^5, x)","F",0
367,0,0,0,0.625628," ","integrate(x^2*log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(b^{2} x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} \log\left(f x^{m}\right) + 2 \, a b x^{2} \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a^{2} x^{2} \log\left(f x^{m}\right), x\right)"," ",0,"integral(b^2*x^2*log((e*x + d)^n*c)^2*log(f*x^m) + 2*a*b*x^2*log((e*x + d)^n*c)*log(f*x^m) + a^2*x^2*log(f*x^m), x)","F",0
368,0,0,0,0.854527," ","integrate(x*log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(b^{2} x \log\left({\left(e x + d\right)}^{n} c\right)^{2} \log\left(f x^{m}\right) + 2 \, a b x \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a^{2} x \log\left(f x^{m}\right), x\right)"," ",0,"integral(b^2*x*log((e*x + d)^n*c)^2*log(f*x^m) + 2*a*b*x*log((e*x + d)^n*c)*log(f*x^m) + a^2*x*log(f*x^m), x)","F",0
369,0,0,0,0.946329," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} \log\left(f x^{m}\right) + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a^{2} \log\left(f x^{m}\right), x\right)"," ",0,"integral(b^2*log((e*x + d)^n*c)^2*log(f*x^m) + 2*a*b*log((e*x + d)^n*c)*log(f*x^m) + a^2*log(f*x^m), x)","F",0
370,0,0,0,0.890794," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} \log\left(f x^{m}\right) + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a^{2} \log\left(f x^{m}\right)}{x}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2*log(f*x^m) + 2*a*b*log((e*x + d)^n*c)*log(f*x^m) + a^2*log(f*x^m))/x, x)","F",0
371,0,0,0,1.483580," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} \log\left(f x^{m}\right) + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a^{2} \log\left(f x^{m}\right)}{x^{2}}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2*log(f*x^m) + 2*a*b*log((e*x + d)^n*c)*log(f*x^m) + a^2*log(f*x^m))/x^2, x)","F",0
372,0,0,0,0.975037," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} \log\left(f x^{m}\right) + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a^{2} \log\left(f x^{m}\right)}{x^{3}}, x\right)"," ",0,"integral((b^2*log((e*x + d)^n*c)^2*log(f*x^m) + 2*a*b*log((e*x + d)^n*c)*log(f*x^m) + a^2*log(f*x^m))/x^3, x)","F",0
373,0,0,0,1.125258," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""fricas"")","{\rm integral}\left(b^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{3} \log\left(f x^{m}\right) + 3 \, a b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} \log\left(f x^{m}\right) + 3 \, a^{2} b \log\left({\left(e x + d\right)}^{n} c\right) \log\left(f x^{m}\right) + a^{3} \log\left(f x^{m}\right), x\right)"," ",0,"integral(b^3*log((e*x + d)^n*c)^3*log(f*x^m) + 3*a*b^2*log((e*x + d)^n*c)^2*log(f*x^m) + 3*a^2*b*log((e*x + d)^n*c)*log(f*x^m) + a^3*log(f*x^m), x)","F",0
374,0,0,0,1.050938," ","integrate(log(x)*log(b*x+a)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(b x + a\right)^{2} \log\left(x\right)}{x}, x\right)"," ",0,"integral(log(b*x + a)^2*log(x)/x, x)","F",0
375,0,0,0,0.824281," ","integrate(log(f*x^m)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(f x^{m}\right)}{b \log\left({\left(e x + d\right)}^{n} c\right) + a}, x\right)"," ",0,"integral(log(f*x^m)/(b*log((e*x + d)^n*c) + a), x)","F",0
376,0,0,0,1.131100," ","integrate(log(f*x^m)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(f x^{m}\right)}{b^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b \log\left({\left(e x + d\right)}^{n} c\right) + a^{2}}, x\right)"," ",0,"integral(log(f*x^m)/(b^2*log((e*x + d)^n*c)^2 + 2*a*b*log((e*x + d)^n*c) + a^2), x)","F",0
377,0,0,0,0.946800," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{p} \log\left(f x^{m}\right), x\right)"," ",0,"integral((b*log((e*x + d)^n*c) + a)^p*log(f*x^m), x)","F",0
378,0,0,0,0.999370," ","integrate(log(b*x+a)*log(d*x+c)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(b x + a\right) \log\left(d x + c\right)}{x}, x\right)"," ",0,"integral(log(b*x + a)*log(d*x + c)/x, x)","F",0
379,1,329,0,1.218364," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","\frac{18 \, b e^{3} g x^{3} \log\left(c\right)^{2} + 2 \, {\left(2 \, b e^{3} g n^{2} + 9 \, a e^{3} f - 3 \, {\left(b e^{3} f + a e^{3} g\right)} n\right)} x^{3} - 3 \, {\left(5 \, b d e^{2} g n^{2} - 3 \, {\left(b d e^{2} f + a d e^{2} g\right)} n\right)} x^{2} + 18 \, {\left(b e^{3} g n^{2} x^{3} + b d^{3} g n^{2}\right)} \log\left(e x + d\right)^{2} + 6 \, {\left(11 \, b d^{2} e g n^{2} - 3 \, {\left(b d^{2} e f + a d^{2} e g\right)} n\right)} x + 6 \, {\left(3 \, b d e^{2} g n^{2} x^{2} - 6 \, b d^{2} e g n^{2} x - 11 \, b d^{3} g n^{2} - {\left(2 \, b e^{3} g n^{2} - 3 \, {\left(b e^{3} f + a e^{3} g\right)} n\right)} x^{3} + 3 \, {\left(b d^{3} f + a d^{3} g\right)} n + 6 \, {\left(b e^{3} g n x^{3} + b d^{3} g n\right)} \log\left(c\right)\right)} \log\left(e x + d\right) + 6 \, {\left(3 \, b d e^{2} g n x^{2} - 6 \, b d^{2} e g n x - {\left(2 \, b e^{3} g n - 3 \, b e^{3} f - 3 \, a e^{3} g\right)} x^{3}\right)} \log\left(c\right)}{54 \, e^{3}}"," ",0,"1/54*(18*b*e^3*g*x^3*log(c)^2 + 2*(2*b*e^3*g*n^2 + 9*a*e^3*f - 3*(b*e^3*f + a*e^3*g)*n)*x^3 - 3*(5*b*d*e^2*g*n^2 - 3*(b*d*e^2*f + a*d*e^2*g)*n)*x^2 + 18*(b*e^3*g*n^2*x^3 + b*d^3*g*n^2)*log(e*x + d)^2 + 6*(11*b*d^2*e*g*n^2 - 3*(b*d^2*e*f + a*d^2*e*g)*n)*x + 6*(3*b*d*e^2*g*n^2*x^2 - 6*b*d^2*e*g*n^2*x - 11*b*d^3*g*n^2 - (2*b*e^3*g*n^2 - 3*(b*e^3*f + a*e^3*g)*n)*x^3 + 3*(b*d^3*f + a*d^3*g)*n + 6*(b*e^3*g*n*x^3 + b*d^3*g*n)*log(c))*log(e*x + d) + 6*(3*b*d*e^2*g*n*x^2 - 6*b*d^2*e*g*n*x - (2*b*e^3*g*n - 3*b*e^3*f - 3*a*e^3*g)*x^3)*log(c))/e^3","A",0
380,1,256,0,0.910011," ","integrate(x*(a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","\frac{2 \, b e^{2} g x^{2} \log\left(c\right)^{2} + {\left(b e^{2} g n^{2} + 2 \, a e^{2} f - {\left(b e^{2} f + a e^{2} g\right)} n\right)} x^{2} + 2 \, {\left(b e^{2} g n^{2} x^{2} - b d^{2} g n^{2}\right)} \log\left(e x + d\right)^{2} - 2 \, {\left(3 \, b d e g n^{2} - {\left(b d e f + a d e g\right)} n\right)} x + 2 \, {\left(2 \, b d e g n^{2} x + 3 \, b d^{2} g n^{2} - {\left(b e^{2} g n^{2} - {\left(b e^{2} f + a e^{2} g\right)} n\right)} x^{2} - {\left(b d^{2} f + a d^{2} g\right)} n + 2 \, {\left(b e^{2} g n x^{2} - b d^{2} g n\right)} \log\left(c\right)\right)} \log\left(e x + d\right) + 2 \, {\left(2 \, b d e g n x - {\left(b e^{2} g n - b e^{2} f - a e^{2} g\right)} x^{2}\right)} \log\left(c\right)}{4 \, e^{2}}"," ",0,"1/4*(2*b*e^2*g*x^2*log(c)^2 + (b*e^2*g*n^2 + 2*a*e^2*f - (b*e^2*f + a*e^2*g)*n)*x^2 + 2*(b*e^2*g*n^2*x^2 - b*d^2*g*n^2)*log(e*x + d)^2 - 2*(3*b*d*e*g*n^2 - (b*d*e*f + a*d*e*g)*n)*x + 2*(2*b*d*e*g*n^2*x + 3*b*d^2*g*n^2 - (b*e^2*g*n^2 - (b*e^2*f + a*e^2*g)*n)*x^2 - (b*d^2*f + a*d^2*g)*n + 2*(b*e^2*g*n*x^2 - b*d^2*g*n)*log(c))*log(e*x + d) + 2*(2*b*d*e*g*n*x - (b*e^2*g*n - b*e^2*f - a*e^2*g)*x^2)*log(c))/e^2","A",0
381,1,156,0,1.160654," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n)),x, algorithm=""fricas"")","\frac{b e g x \log\left(c\right)^{2} + {\left(b e g n^{2} x + b d g n^{2}\right)} \log\left(e x + d\right)^{2} - {\left(2 \, b e g n - b e f - a e g\right)} x \log\left(c\right) + {\left(2 \, b e g n^{2} + a e f - {\left(b e f + a e g\right)} n\right)} x - {\left(2 \, b d g n^{2} - {\left(b d f + a d g\right)} n + {\left(2 \, b e g n^{2} - {\left(b e f + a e g\right)} n\right)} x - 2 \, {\left(b e g n x + b d g n\right)} \log\left(c\right)\right)} \log\left(e x + d\right)}{e}"," ",0,"(b*e*g*x*log(c)^2 + (b*e*g*n^2*x + b*d*g*n^2)*log(e*x + d)^2 - (2*b*e*g*n - b*e*f - a*e*g)*x*log(c) + (2*b*e*g*n^2 + a*e*f - (b*e*f + a*e*g)*n)*x - (2*b*d*g*n^2 - (b*d*f + a*d*g)*n + (2*b*e*g*n^2 - (b*e*f + a*e*g)*n)*x - 2*(b*e*g*n*x + b*d*g*n)*log(c))*log(e*x + d))/e","A",0
382,0,0,0,0.892962," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b g \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a f + {\left(b f + a g\right)} \log\left({\left(e x + d\right)}^{n} c\right)}{x}, x\right)"," ",0,"integral((b*g*log((e*x + d)^n*c)^2 + a*f + (b*f + a*g)*log((e*x + d)^n*c))/x, x)","F",0
383,0,0,0,0.863414," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b g \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a f + {\left(b f + a g\right)} \log\left({\left(e x + d\right)}^{n} c\right)}{x^{2}}, x\right)"," ",0,"integral((b*g*log((e*x + d)^n*c)^2 + a*f + (b*f + a*g)*log((e*x + d)^n*c))/x^2, x)","F",0
384,0,0,0,0.847547," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b g \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a f + {\left(b f + a g\right)} \log\left({\left(e x + d\right)}^{n} c\right)}{x^{3}}, x\right)"," ",0,"integral((b*g*log((e*x + d)^n*c)^2 + a*f + (b*f + a*g)*log((e*x + d)^n*c))/x^3, x)","F",0
385,0,0,0,1.028925," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n))/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b g \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a f + {\left(b f + a g\right)} \log\left({\left(e x + d\right)}^{n} c\right)}{x^{4}}, x\right)"," ",0,"integral((b*g*log((e*x + d)^n*c)^2 + a*f + (b*f + a*g)*log((e*x + d)^n*c))/x^4, x)","F",0
386,0,0,0,0.806366," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m)),x, algorithm=""fricas"")","{\rm integral}\left(b f x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + a f x^{3} + {\left(b g x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + a g x^{3}\right)} \log\left({\left(j x + i\right)}^{m} h\right), x\right)"," ",0,"integral(b*f*x^3*log((e*x + d)^n*c) + a*f*x^3 + (b*g*x^3*log((e*x + d)^n*c) + a*g*x^3)*log((j*x + i)^m*h), x)","F",0
387,0,0,0,1.251404," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m)),x, algorithm=""fricas"")","{\rm integral}\left(b f x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + a f x^{2} + {\left(b g x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + a g x^{2}\right)} \log\left({\left(j x + i\right)}^{m} h\right), x\right)"," ",0,"integral(b*f*x^2*log((e*x + d)^n*c) + a*f*x^2 + (b*g*x^2*log((e*x + d)^n*c) + a*g*x^2)*log((j*x + i)^m*h), x)","F",0
388,0,0,0,1.209127," ","integrate(x*(a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m)),x, algorithm=""fricas"")","{\rm integral}\left(b f x \log\left({\left(e x + d\right)}^{n} c\right) + a f x + {\left(b g x \log\left({\left(e x + d\right)}^{n} c\right) + a g x\right)} \log\left({\left(j x + i\right)}^{m} h\right), x\right)"," ",0,"integral(b*f*x*log((e*x + d)^n*c) + a*f*x + (b*g*x*log((e*x + d)^n*c) + a*g*x)*log((j*x + i)^m*h), x)","F",0
389,0,0,0,1.065174," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m)),x, algorithm=""fricas"")","{\rm integral}\left(b f \log\left({\left(e x + d\right)}^{n} c\right) + a f + {\left(b g \log\left({\left(e x + d\right)}^{n} c\right) + a g\right)} \log\left({\left(j x + i\right)}^{m} h\right), x\right)"," ",0,"integral(b*f*log((e*x + d)^n*c) + a*f + (b*g*log((e*x + d)^n*c) + a*g)*log((j*x + i)^m*h), x)","F",0
390,0,0,0,1.065665," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b f \log\left({\left(e x + d\right)}^{n} c\right) + a f + {\left(b g \log\left({\left(e x + d\right)}^{n} c\right) + a g\right)} \log\left({\left(j x + i\right)}^{m} h\right)}{x}, x\right)"," ",0,"integral((b*f*log((e*x + d)^n*c) + a*f + (b*g*log((e*x + d)^n*c) + a*g)*log((j*x + i)^m*h))/x, x)","F",0
391,0,0,0,1.000064," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b f \log\left({\left(e x + d\right)}^{n} c\right) + a f + {\left(b g \log\left({\left(e x + d\right)}^{n} c\right) + a g\right)} \log\left({\left(j x + i\right)}^{m} h\right)}{x^{2}}, x\right)"," ",0,"integral((b*f*log((e*x + d)^n*c) + a*f + (b*g*log((e*x + d)^n*c) + a*g)*log((j*x + i)^m*h))/x^2, x)","F",0
392,0,0,0,1.351523," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b f \log\left({\left(e x + d\right)}^{n} c\right) + a f + {\left(b g \log\left({\left(e x + d\right)}^{n} c\right) + a g\right)} \log\left({\left(j x + i\right)}^{m} h\right)}{x^{3}}, x\right)"," ",0,"integral((b*f*log((e*x + d)^n*c) + a*f + (b*g*log((e*x + d)^n*c) + a*g)*log((j*x + i)^m*h))/x^3, x)","F",0
393,0,0,0,1.109854," ","integrate(x*(a+b*log(c*(e*x+d)^n))^2*(f+g*log(h*(j*x+i)^m)),x, algorithm=""fricas"")","{\rm integral}\left(b^{2} f x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b f x \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} f x + {\left(b^{2} g x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b g x \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} g x\right)} \log\left({\left(j x + i\right)}^{m} h\right), x\right)"," ",0,"integral(b^2*f*x*log((e*x + d)^n*c)^2 + 2*a*b*f*x*log((e*x + d)^n*c) + a^2*f*x + (b^2*g*x*log((e*x + d)^n*c)^2 + 2*a*b*g*x*log((e*x + d)^n*c) + a^2*g*x)*log((j*x + i)^m*h), x)","F",0
394,0,0,0,1.026865," ","integrate((a+b*log(c*(e*x+d)^n))^2*(f+g*log(h*(j*x+i)^m)),x, algorithm=""fricas"")","{\rm integral}\left(b^{2} f \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b f \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} f + {\left(b^{2} g \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b g \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} g\right)} \log\left({\left(j x + i\right)}^{m} h\right), x\right)"," ",0,"integral(b^2*f*log((e*x + d)^n*c)^2 + 2*a*b*f*log((e*x + d)^n*c) + a^2*f + (b^2*g*log((e*x + d)^n*c)^2 + 2*a*b*g*log((e*x + d)^n*c) + a^2*g)*log((j*x + i)^m*h), x)","F",0
395,0,0,0,1.419661," ","integrate((a+b*log(c*(e*x+d)^n))^2*(f+g*log(h*(j*x+i)^m))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} f \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b f \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} f + {\left(b^{2} g \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b g \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} g\right)} \log\left({\left(j x + i\right)}^{m} h\right)}{x}, x\right)"," ",0,"integral((b^2*f*log((e*x + d)^n*c)^2 + 2*a*b*f*log((e*x + d)^n*c) + a^2*f + (b^2*g*log((e*x + d)^n*c)^2 + 2*a*b*g*log((e*x + d)^n*c) + a^2*g)*log((j*x + i)^m*h))/x, x)","F",0
396,0,0,0,1.037359," ","integrate((a+b*log(c*(e*x+d)^n))^2*(f+g*log(h*(j*x+i)^m))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} f \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b f \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} f + {\left(b^{2} g \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b g \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} g\right)} \log\left({\left(j x + i\right)}^{m} h\right)}{x^{2}}, x\right)"," ",0,"integral((b^2*f*log((e*x + d)^n*c)^2 + 2*a*b*f*log((e*x + d)^n*c) + a^2*f + (b^2*g*log((e*x + d)^n*c)^2 + 2*a*b*g*log((e*x + d)^n*c) + a^2*g)*log((j*x + i)^m*h))/x^2, x)","F",0
397,0,0,0,0.960884," ","integrate(x*(a+b*log(c*(e*x+d)^n))^3*(f+g*log(h*(j*x+i)^m)),x, algorithm=""fricas"")","{\rm integral}\left(b^{3} f x \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, a b^{2} f x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b f x \log\left({\left(e x + d\right)}^{n} c\right) + a^{3} f x + {\left(b^{3} g x \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, a b^{2} g x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b g x \log\left({\left(e x + d\right)}^{n} c\right) + a^{3} g x\right)} \log\left({\left(j x + i\right)}^{m} h\right), x\right)"," ",0,"integral(b^3*f*x*log((e*x + d)^n*c)^3 + 3*a*b^2*f*x*log((e*x + d)^n*c)^2 + 3*a^2*b*f*x*log((e*x + d)^n*c) + a^3*f*x + (b^3*g*x*log((e*x + d)^n*c)^3 + 3*a*b^2*g*x*log((e*x + d)^n*c)^2 + 3*a^2*b*g*x*log((e*x + d)^n*c) + a^3*g*x)*log((j*x + i)^m*h), x)","F",0
398,0,0,0,1.090847," ","integrate((a+b*log(c*(e*x+d)^n))^3*(f+g*log(h*(j*x+i)^m)),x, algorithm=""fricas"")","{\rm integral}\left(b^{3} f \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, a b^{2} f \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b f \log\left({\left(e x + d\right)}^{n} c\right) + a^{3} f + {\left(b^{3} g \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, a b^{2} g \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b g \log\left({\left(e x + d\right)}^{n} c\right) + a^{3} g\right)} \log\left({\left(j x + i\right)}^{m} h\right), x\right)"," ",0,"integral(b^3*f*log((e*x + d)^n*c)^3 + 3*a*b^2*f*log((e*x + d)^n*c)^2 + 3*a^2*b*f*log((e*x + d)^n*c) + a^3*f + (b^3*g*log((e*x + d)^n*c)^3 + 3*a*b^2*g*log((e*x + d)^n*c)^2 + 3*a^2*b*g*log((e*x + d)^n*c) + a^3*g)*log((j*x + i)^m*h), x)","F",0
399,0,0,0,1.083343," ","integrate((a+b*log(c*(e*x+d)^n))^3*(f+g*log(h*(j*x+i)^m))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} f \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, a b^{2} f \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b f \log\left({\left(e x + d\right)}^{n} c\right) + a^{3} f + {\left(b^{3} g \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, a b^{2} g \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b g \log\left({\left(e x + d\right)}^{n} c\right) + a^{3} g\right)} \log\left({\left(j x + i\right)}^{m} h\right)}{x}, x\right)"," ",0,"integral((b^3*f*log((e*x + d)^n*c)^3 + 3*a*b^2*f*log((e*x + d)^n*c)^2 + 3*a^2*b*f*log((e*x + d)^n*c) + a^3*f + (b^3*g*log((e*x + d)^n*c)^3 + 3*a*b^2*g*log((e*x + d)^n*c)^2 + 3*a^2*b*g*log((e*x + d)^n*c) + a^3*g)*log((j*x + i)^m*h))/x, x)","F",0
400,0,0,0,1.165468," ","integrate((a+b*log(c*(e*x+d)^n))^3*(f+g*log(h*(j*x+i)^m))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} f \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, a b^{2} f \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b f \log\left({\left(e x + d\right)}^{n} c\right) + a^{3} f + {\left(b^{3} g \log\left({\left(e x + d\right)}^{n} c\right)^{3} + 3 \, a b^{2} g \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b g \log\left({\left(e x + d\right)}^{n} c\right) + a^{3} g\right)} \log\left({\left(j x + i\right)}^{m} h\right)}{x^{2}}, x\right)"," ",0,"integral((b^3*f*log((e*x + d)^n*c)^3 + 3*a*b^2*f*log((e*x + d)^n*c)^2 + 3*a^2*b*f*log((e*x + d)^n*c) + a^3*f + (b^3*g*log((e*x + d)^n*c)^3 + 3*a*b^2*g*log((e*x + d)^n*c)^2 + 3*a^2*b*g*log((e*x + d)^n*c) + a^3*g)*log((j*x + i)^m*h))/x^2, x)","F",0
401,0,0,0,1.213600," ","integrate((a+b*log(c*(e*x+d)^n))*log(e*(g*x+f)/(-d*g+e*f))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left({\left(e x + d\right)}^{n} c\right) \log\left(\frac{e g x + e f}{e f - d g}\right) + a \log\left(\frac{e g x + e f}{e f - d g}\right)}{e x + d}, x\right)"," ",0,"integral((b*log((e*x + d)^n*c)*log((e*g*x + e*f)/(e*f - d*g)) + a*log((e*g*x + e*f)/(e*f - d*g)))/(e*x + d), x)","F",0
402,1,46,0,1.081513," ","integrate(log(c*(e*x+d))*(a+b*log(c*(e*x+d)))/(e*x+d)^2,x, algorithm=""fricas"")","-\frac{b \log\left(c e x + c d\right)^{2} + {\left(a + 2 \, b\right)} \log\left(c e x + c d\right) + a + 2 \, b}{e^{2} x + d e}"," ",0,"-(b*log(c*e*x + c*d)^2 + (a + 2*b)*log(c*e*x + c*d) + a + 2*b)/(e^2*x + d*e)","A",0
403,1,61,0,0.926558," ","integrate((a+b*log(c*(e*x+d)))*(f+g*log(c*(e*x+d)))/(e*x+d)^2,x, algorithm=""fricas"")","-\frac{b g \log\left(c e x + c d\right)^{2} + {\left(a + b\right)} f + {\left(a + 2 \, b\right)} g + {\left(b f + {\left(a + 2 \, b\right)} g\right)} \log\left(c e x + c d\right)}{e^{2} x + d e}"," ",0,"-(b*g*log(c*e*x + c*d)^2 + (a + b)*f + (a + 2*b)*g + (b*f + (a + 2*b)*g)*log(c*e*x + c*d))/(e^2*x + d*e)","A",0
404,1,1409,0,0.924443," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^4,x, algorithm=""fricas"")","\frac{b^{4} f n^{4} x \log\left(d\right)^{4} + b^{4} f x \log\left(c\right)^{4} + {\left(b^{4} f m^{4} n^{4} x + b^{4} e m^{4} n^{4}\right)} \log\left(f x + e\right)^{4} - 4 \, {\left(b^{4} f m n - a b^{3} f\right)} x \log\left(c\right)^{3} - 4 \, {\left(b^{4} e m^{4} n^{4} - a b^{3} e m^{3} n^{3} + {\left(b^{4} f m^{4} n^{4} - a b^{3} f m^{3} n^{3}\right)} x - {\left(b^{4} f m^{3} n^{3} x + b^{4} e m^{3} n^{3}\right)} \log\left(c\right) - {\left(b^{4} f m^{3} n^{4} x + b^{4} e m^{3} n^{4}\right)} \log\left(d\right)\right)} \log\left(f x + e\right)^{3} + 6 \, {\left(2 \, b^{4} f m^{2} n^{2} - 2 \, a b^{3} f m n + a^{2} b^{2} f\right)} x \log\left(c\right)^{2} + 4 \, {\left(b^{4} f n^{3} x \log\left(c\right) - {\left(b^{4} f m n^{4} - a b^{3} f n^{3}\right)} x\right)} \log\left(d\right)^{3} + 6 \, {\left(2 \, b^{4} e m^{4} n^{4} - 2 \, a b^{3} e m^{3} n^{3} + a^{2} b^{2} e m^{2} n^{2} + {\left(b^{4} f m^{2} n^{2} x + b^{4} e m^{2} n^{2}\right)} \log\left(c\right)^{2} + {\left(b^{4} f m^{2} n^{4} x + b^{4} e m^{2} n^{4}\right)} \log\left(d\right)^{2} + {\left(2 \, b^{4} f m^{4} n^{4} - 2 \, a b^{3} f m^{3} n^{3} + a^{2} b^{2} f m^{2} n^{2}\right)} x - 2 \, {\left(b^{4} e m^{3} n^{3} - a b^{3} e m^{2} n^{2} + {\left(b^{4} f m^{3} n^{3} - a b^{3} f m^{2} n^{2}\right)} x\right)} \log\left(c\right) - 2 \, {\left(b^{4} e m^{3} n^{4} - a b^{3} e m^{2} n^{3} + {\left(b^{4} f m^{3} n^{4} - a b^{3} f m^{2} n^{3}\right)} x - {\left(b^{4} f m^{2} n^{3} x + b^{4} e m^{2} n^{3}\right)} \log\left(c\right)\right)} \log\left(d\right)\right)} \log\left(f x + e\right)^{2} - 4 \, {\left(6 \, b^{4} f m^{3} n^{3} - 6 \, a b^{3} f m^{2} n^{2} + 3 \, a^{2} b^{2} f m n - a^{3} b f\right)} x \log\left(c\right) + 6 \, {\left(b^{4} f n^{2} x \log\left(c\right)^{2} - 2 \, {\left(b^{4} f m n^{3} - a b^{3} f n^{2}\right)} x \log\left(c\right) + {\left(2 \, b^{4} f m^{2} n^{4} - 2 \, a b^{3} f m n^{3} + a^{2} b^{2} f n^{2}\right)} x\right)} \log\left(d\right)^{2} + {\left(24 \, b^{4} f m^{4} n^{4} - 24 \, a b^{3} f m^{3} n^{3} + 12 \, a^{2} b^{2} f m^{2} n^{2} - 4 \, a^{3} b f m n + a^{4} f\right)} x - 4 \, {\left(6 \, b^{4} e m^{4} n^{4} - 6 \, a b^{3} e m^{3} n^{3} + 3 \, a^{2} b^{2} e m^{2} n^{2} - a^{3} b e m n - {\left(b^{4} f m n x + b^{4} e m n\right)} \log\left(c\right)^{3} - {\left(b^{4} f m n^{4} x + b^{4} e m n^{4}\right)} \log\left(d\right)^{3} + 3 \, {\left(b^{4} e m^{2} n^{2} - a b^{3} e m n + {\left(b^{4} f m^{2} n^{2} - a b^{3} f m n\right)} x\right)} \log\left(c\right)^{2} + 3 \, {\left(b^{4} e m^{2} n^{4} - a b^{3} e m n^{3} + {\left(b^{4} f m^{2} n^{4} - a b^{3} f m n^{3}\right)} x - {\left(b^{4} f m n^{3} x + b^{4} e m n^{3}\right)} \log\left(c\right)\right)} \log\left(d\right)^{2} + {\left(6 \, b^{4} f m^{4} n^{4} - 6 \, a b^{3} f m^{3} n^{3} + 3 \, a^{2} b^{2} f m^{2} n^{2} - a^{3} b f m n\right)} x - 3 \, {\left(2 \, b^{4} e m^{3} n^{3} - 2 \, a b^{3} e m^{2} n^{2} + a^{2} b^{2} e m n + {\left(2 \, b^{4} f m^{3} n^{3} - 2 \, a b^{3} f m^{2} n^{2} + a^{2} b^{2} f m n\right)} x\right)} \log\left(c\right) - 3 \, {\left(2 \, b^{4} e m^{3} n^{4} - 2 \, a b^{3} e m^{2} n^{3} + a^{2} b^{2} e m n^{2} + {\left(b^{4} f m n^{2} x + b^{4} e m n^{2}\right)} \log\left(c\right)^{2} + {\left(2 \, b^{4} f m^{3} n^{4} - 2 \, a b^{3} f m^{2} n^{3} + a^{2} b^{2} f m n^{2}\right)} x - 2 \, {\left(b^{4} e m^{2} n^{3} - a b^{3} e m n^{2} + {\left(b^{4} f m^{2} n^{3} - a b^{3} f m n^{2}\right)} x\right)} \log\left(c\right)\right)} \log\left(d\right)\right)} \log\left(f x + e\right) + 4 \, {\left(b^{4} f n x \log\left(c\right)^{3} - 3 \, {\left(b^{4} f m n^{2} - a b^{3} f n\right)} x \log\left(c\right)^{2} + 3 \, {\left(2 \, b^{4} f m^{2} n^{3} - 2 \, a b^{3} f m n^{2} + a^{2} b^{2} f n\right)} x \log\left(c\right) - {\left(6 \, b^{4} f m^{3} n^{4} - 6 \, a b^{3} f m^{2} n^{3} + 3 \, a^{2} b^{2} f m n^{2} - a^{3} b f n\right)} x\right)} \log\left(d\right)}{f}"," ",0,"(b^4*f*n^4*x*log(d)^4 + b^4*f*x*log(c)^4 + (b^4*f*m^4*n^4*x + b^4*e*m^4*n^4)*log(f*x + e)^4 - 4*(b^4*f*m*n - a*b^3*f)*x*log(c)^3 - 4*(b^4*e*m^4*n^4 - a*b^3*e*m^3*n^3 + (b^4*f*m^4*n^4 - a*b^3*f*m^3*n^3)*x - (b^4*f*m^3*n^3*x + b^4*e*m^3*n^3)*log(c) - (b^4*f*m^3*n^4*x + b^4*e*m^3*n^4)*log(d))*log(f*x + e)^3 + 6*(2*b^4*f*m^2*n^2 - 2*a*b^3*f*m*n + a^2*b^2*f)*x*log(c)^2 + 4*(b^4*f*n^3*x*log(c) - (b^4*f*m*n^4 - a*b^3*f*n^3)*x)*log(d)^3 + 6*(2*b^4*e*m^4*n^4 - 2*a*b^3*e*m^3*n^3 + a^2*b^2*e*m^2*n^2 + (b^4*f*m^2*n^2*x + b^4*e*m^2*n^2)*log(c)^2 + (b^4*f*m^2*n^4*x + b^4*e*m^2*n^4)*log(d)^2 + (2*b^4*f*m^4*n^4 - 2*a*b^3*f*m^3*n^3 + a^2*b^2*f*m^2*n^2)*x - 2*(b^4*e*m^3*n^3 - a*b^3*e*m^2*n^2 + (b^4*f*m^3*n^3 - a*b^3*f*m^2*n^2)*x)*log(c) - 2*(b^4*e*m^3*n^4 - a*b^3*e*m^2*n^3 + (b^4*f*m^3*n^4 - a*b^3*f*m^2*n^3)*x - (b^4*f*m^2*n^3*x + b^4*e*m^2*n^3)*log(c))*log(d))*log(f*x + e)^2 - 4*(6*b^4*f*m^3*n^3 - 6*a*b^3*f*m^2*n^2 + 3*a^2*b^2*f*m*n - a^3*b*f)*x*log(c) + 6*(b^4*f*n^2*x*log(c)^2 - 2*(b^4*f*m*n^3 - a*b^3*f*n^2)*x*log(c) + (2*b^4*f*m^2*n^4 - 2*a*b^3*f*m*n^3 + a^2*b^2*f*n^2)*x)*log(d)^2 + (24*b^4*f*m^4*n^4 - 24*a*b^3*f*m^3*n^3 + 12*a^2*b^2*f*m^2*n^2 - 4*a^3*b*f*m*n + a^4*f)*x - 4*(6*b^4*e*m^4*n^4 - 6*a*b^3*e*m^3*n^3 + 3*a^2*b^2*e*m^2*n^2 - a^3*b*e*m*n - (b^4*f*m*n*x + b^4*e*m*n)*log(c)^3 - (b^4*f*m*n^4*x + b^4*e*m*n^4)*log(d)^3 + 3*(b^4*e*m^2*n^2 - a*b^3*e*m*n + (b^4*f*m^2*n^2 - a*b^3*f*m*n)*x)*log(c)^2 + 3*(b^4*e*m^2*n^4 - a*b^3*e*m*n^3 + (b^4*f*m^2*n^4 - a*b^3*f*m*n^3)*x - (b^4*f*m*n^3*x + b^4*e*m*n^3)*log(c))*log(d)^2 + (6*b^4*f*m^4*n^4 - 6*a*b^3*f*m^3*n^3 + 3*a^2*b^2*f*m^2*n^2 - a^3*b*f*m*n)*x - 3*(2*b^4*e*m^3*n^3 - 2*a*b^3*e*m^2*n^2 + a^2*b^2*e*m*n + (2*b^4*f*m^3*n^3 - 2*a*b^3*f*m^2*n^2 + a^2*b^2*f*m*n)*x)*log(c) - 3*(2*b^4*e*m^3*n^4 - 2*a*b^3*e*m^2*n^3 + a^2*b^2*e*m*n^2 + (b^4*f*m*n^2*x + b^4*e*m*n^2)*log(c)^2 + (2*b^4*f*m^3*n^4 - 2*a*b^3*f*m^2*n^3 + a^2*b^2*f*m*n^2)*x - 2*(b^4*e*m^2*n^3 - a*b^3*e*m*n^2 + (b^4*f*m^2*n^3 - a*b^3*f*m*n^2)*x)*log(c))*log(d))*log(f*x + e) + 4*(b^4*f*n*x*log(c)^3 - 3*(b^4*f*m*n^2 - a*b^3*f*n)*x*log(c)^2 + 3*(2*b^4*f*m^2*n^3 - 2*a*b^3*f*m*n^2 + a^2*b^2*f*n)*x*log(c) - (6*b^4*f*m^3*n^4 - 6*a*b^3*f*m^2*n^3 + 3*a^2*b^2*f*m*n^2 - a^3*b*f*n)*x)*log(d))/f","B",0
405,1,639,0,1.008298," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^3,x, algorithm=""fricas"")","\frac{b^{3} f n^{3} x \log\left(d\right)^{3} + b^{3} f x \log\left(c\right)^{3} + {\left(b^{3} f m^{3} n^{3} x + b^{3} e m^{3} n^{3}\right)} \log\left(f x + e\right)^{3} - 3 \, {\left(b^{3} f m n - a b^{2} f\right)} x \log\left(c\right)^{2} - 3 \, {\left(b^{3} e m^{3} n^{3} - a b^{2} e m^{2} n^{2} + {\left(b^{3} f m^{3} n^{3} - a b^{2} f m^{2} n^{2}\right)} x - {\left(b^{3} f m^{2} n^{2} x + b^{3} e m^{2} n^{2}\right)} \log\left(c\right) - {\left(b^{3} f m^{2} n^{3} x + b^{3} e m^{2} n^{3}\right)} \log\left(d\right)\right)} \log\left(f x + e\right)^{2} + 3 \, {\left(2 \, b^{3} f m^{2} n^{2} - 2 \, a b^{2} f m n + a^{2} b f\right)} x \log\left(c\right) + 3 \, {\left(b^{3} f n^{2} x \log\left(c\right) - {\left(b^{3} f m n^{3} - a b^{2} f n^{2}\right)} x\right)} \log\left(d\right)^{2} - {\left(6 \, b^{3} f m^{3} n^{3} - 6 \, a b^{2} f m^{2} n^{2} + 3 \, a^{2} b f m n - a^{3} f\right)} x + 3 \, {\left(2 \, b^{3} e m^{3} n^{3} - 2 \, a b^{2} e m^{2} n^{2} + a^{2} b e m n + {\left(b^{3} f m n x + b^{3} e m n\right)} \log\left(c\right)^{2} + {\left(b^{3} f m n^{3} x + b^{3} e m n^{3}\right)} \log\left(d\right)^{2} + {\left(2 \, b^{3} f m^{3} n^{3} - 2 \, a b^{2} f m^{2} n^{2} + a^{2} b f m n\right)} x - 2 \, {\left(b^{3} e m^{2} n^{2} - a b^{2} e m n + {\left(b^{3} f m^{2} n^{2} - a b^{2} f m n\right)} x\right)} \log\left(c\right) - 2 \, {\left(b^{3} e m^{2} n^{3} - a b^{2} e m n^{2} + {\left(b^{3} f m^{2} n^{3} - a b^{2} f m n^{2}\right)} x - {\left(b^{3} f m n^{2} x + b^{3} e m n^{2}\right)} \log\left(c\right)\right)} \log\left(d\right)\right)} \log\left(f x + e\right) + 3 \, {\left(b^{3} f n x \log\left(c\right)^{2} - 2 \, {\left(b^{3} f m n^{2} - a b^{2} f n\right)} x \log\left(c\right) + {\left(2 \, b^{3} f m^{2} n^{3} - 2 \, a b^{2} f m n^{2} + a^{2} b f n\right)} x\right)} \log\left(d\right)}{f}"," ",0,"(b^3*f*n^3*x*log(d)^3 + b^3*f*x*log(c)^3 + (b^3*f*m^3*n^3*x + b^3*e*m^3*n^3)*log(f*x + e)^3 - 3*(b^3*f*m*n - a*b^2*f)*x*log(c)^2 - 3*(b^3*e*m^3*n^3 - a*b^2*e*m^2*n^2 + (b^3*f*m^3*n^3 - a*b^2*f*m^2*n^2)*x - (b^3*f*m^2*n^2*x + b^3*e*m^2*n^2)*log(c) - (b^3*f*m^2*n^3*x + b^3*e*m^2*n^3)*log(d))*log(f*x + e)^2 + 3*(2*b^3*f*m^2*n^2 - 2*a*b^2*f*m*n + a^2*b*f)*x*log(c) + 3*(b^3*f*n^2*x*log(c) - (b^3*f*m*n^3 - a*b^2*f*n^2)*x)*log(d)^2 - (6*b^3*f*m^3*n^3 - 6*a*b^2*f*m^2*n^2 + 3*a^2*b*f*m*n - a^3*f)*x + 3*(2*b^3*e*m^3*n^3 - 2*a*b^2*e*m^2*n^2 + a^2*b*e*m*n + (b^3*f*m*n*x + b^3*e*m*n)*log(c)^2 + (b^3*f*m*n^3*x + b^3*e*m*n^3)*log(d)^2 + (2*b^3*f*m^3*n^3 - 2*a*b^2*f*m^2*n^2 + a^2*b*f*m*n)*x - 2*(b^3*e*m^2*n^2 - a*b^2*e*m*n + (b^3*f*m^2*n^2 - a*b^2*f*m*n)*x)*log(c) - 2*(b^3*e*m^2*n^3 - a*b^2*e*m*n^2 + (b^3*f*m^2*n^3 - a*b^2*f*m*n^2)*x - (b^3*f*m*n^2*x + b^3*e*m*n^2)*log(c))*log(d))*log(f*x + e) + 3*(b^3*f*n*x*log(c)^2 - 2*(b^3*f*m*n^2 - a*b^2*f*n)*x*log(c) + (2*b^3*f*m^2*n^3 - 2*a*b^2*f*m*n^2 + a^2*b*f*n)*x)*log(d))/f","B",0
406,1,231,0,0.957310," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^2,x, algorithm=""fricas"")","\frac{b^{2} f n^{2} x \log\left(d\right)^{2} + b^{2} f x \log\left(c\right)^{2} + {\left(b^{2} f m^{2} n^{2} x + b^{2} e m^{2} n^{2}\right)} \log\left(f x + e\right)^{2} - 2 \, {\left(b^{2} f m n - a b f\right)} x \log\left(c\right) + {\left(2 \, b^{2} f m^{2} n^{2} - 2 \, a b f m n + a^{2} f\right)} x - 2 \, {\left(b^{2} e m^{2} n^{2} - a b e m n + {\left(b^{2} f m^{2} n^{2} - a b f m n\right)} x - {\left(b^{2} f m n x + b^{2} e m n\right)} \log\left(c\right) - {\left(b^{2} f m n^{2} x + b^{2} e m n^{2}\right)} \log\left(d\right)\right)} \log\left(f x + e\right) + 2 \, {\left(b^{2} f n x \log\left(c\right) - {\left(b^{2} f m n^{2} - a b f n\right)} x\right)} \log\left(d\right)}{f}"," ",0,"(b^2*f*n^2*x*log(d)^2 + b^2*f*x*log(c)^2 + (b^2*f*m^2*n^2*x + b^2*e*m^2*n^2)*log(f*x + e)^2 - 2*(b^2*f*m*n - a*b*f)*x*log(c) + (2*b^2*f*m^2*n^2 - 2*a*b*f*m*n + a^2*f)*x - 2*(b^2*e*m^2*n^2 - a*b*e*m*n + (b^2*f*m^2*n^2 - a*b*f*m*n)*x - (b^2*f*m*n*x + b^2*e*m*n)*log(c) - (b^2*f*m*n^2*x + b^2*e*m*n^2)*log(d))*log(f*x + e) + 2*(b^2*f*n*x*log(c) - (b^2*f*m*n^2 - a*b*f*n)*x)*log(d))/f","B",0
407,1,50,0,1.267964," ","integrate(a+b*log(c*(d*(f*x+e)^m)^n),x, algorithm=""fricas"")","\frac{b f n x \log\left(d\right) + b f x \log\left(c\right) - {\left(b f m n - a f\right)} x + {\left(b f m n x + b e m n\right)} \log\left(f x + e\right)}{f}"," ",0,"(b*f*n*x*log(d) + b*f*x*log(c) - (b*f*m*n - a*f)*x + (b*f*m*n*x + b*e*m*n)*log(f*x + e))/f","A",0
408,1,65,0,1.018063," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n)),x, algorithm=""fricas"")","\frac{e^{\left(-\frac{b n \log\left(d\right) + b \log\left(c\right) + a}{b m n}\right)} \operatorname{log\_integral}\left({\left(f x + e\right)} e^{\left(\frac{b n \log\left(d\right) + b \log\left(c\right) + a}{b m n}\right)}\right)}{b f m n}"," ",0,"e^(-(b*n*log(d) + b*log(c) + a)/(b*m*n))*log_integral((f*x + e)*e^((b*n*log(d) + b*log(c) + a)/(b*m*n)))/(b*f*m*n)","A",0
409,1,171,0,0.805923," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^2,x, algorithm=""fricas"")","-\frac{{\left({\left(b f m n x + b e m n\right)} e^{\left(\frac{b n \log\left(d\right) + b \log\left(c\right) + a}{b m n}\right)} - {\left(b m n \log\left(f x + e\right) + b n \log\left(d\right) + b \log\left(c\right) + a\right)} \operatorname{log\_integral}\left({\left(f x + e\right)} e^{\left(\frac{b n \log\left(d\right) + b \log\left(c\right) + a}{b m n}\right)}\right)\right)} e^{\left(-\frac{b n \log\left(d\right) + b \log\left(c\right) + a}{b m n}\right)}}{b^{3} f m^{3} n^{3} \log\left(f x + e\right) + b^{3} f m^{2} n^{3} \log\left(d\right) + b^{3} f m^{2} n^{2} \log\left(c\right) + a b^{2} f m^{2} n^{2}}"," ",0,"-((b*f*m*n*x + b*e*m*n)*e^((b*n*log(d) + b*log(c) + a)/(b*m*n)) - (b*m*n*log(f*x + e) + b*n*log(d) + b*log(c) + a)*log_integral((f*x + e)*e^((b*n*log(d) + b*log(c) + a)/(b*m*n))))*e^(-(b*n*log(d) + b*log(c) + a)/(b*m*n))/(b^3*f*m^3*n^3*log(f*x + e) + b^3*f*m^2*n^3*log(d) + b^3*f*m^2*n^2*log(c) + a*b^2*f*m^2*n^2)","A",0
410,1,444,0,0.882194," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^3,x, algorithm=""fricas"")","-\frac{{\left({\left(b^{2} e m^{2} n^{2} + a b e m n + {\left(b^{2} f m^{2} n^{2} + a b f m n\right)} x + {\left(b^{2} f m^{2} n^{2} x + b^{2} e m^{2} n^{2}\right)} \log\left(f x + e\right) + {\left(b^{2} f m n x + b^{2} e m n\right)} \log\left(c\right) + {\left(b^{2} f m n^{2} x + b^{2} e m n^{2}\right)} \log\left(d\right)\right)} e^{\left(\frac{b n \log\left(d\right) + b \log\left(c\right) + a}{b m n}\right)} - {\left(b^{2} m^{2} n^{2} \log\left(f x + e\right)^{2} + b^{2} n^{2} \log\left(d\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + a^{2} + 2 \, {\left(b^{2} m n^{2} \log\left(d\right) + b^{2} m n \log\left(c\right) + a b m n\right)} \log\left(f x + e\right) + 2 \, {\left(b^{2} n \log\left(c\right) + a b n\right)} \log\left(d\right)\right)} \operatorname{log\_integral}\left({\left(f x + e\right)} e^{\left(\frac{b n \log\left(d\right) + b \log\left(c\right) + a}{b m n}\right)}\right)\right)} e^{\left(-\frac{b n \log\left(d\right) + b \log\left(c\right) + a}{b m n}\right)}}{2 \, {\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3} + 2 \, {\left(b^{5} f m^{4} n^{5} \log\left(d\right) + b^{5} f m^{4} n^{4} \log\left(c\right) + a b^{4} f m^{4} n^{4}\right)} \log\left(f x + e\right) + 2 \, {\left(b^{5} f m^{3} n^{4} \log\left(c\right) + a b^{4} f m^{3} n^{4}\right)} \log\left(d\right)\right)}}"," ",0,"-1/2*((b^2*e*m^2*n^2 + a*b*e*m*n + (b^2*f*m^2*n^2 + a*b*f*m*n)*x + (b^2*f*m^2*n^2*x + b^2*e*m^2*n^2)*log(f*x + e) + (b^2*f*m*n*x + b^2*e*m*n)*log(c) + (b^2*f*m*n^2*x + b^2*e*m*n^2)*log(d))*e^((b*n*log(d) + b*log(c) + a)/(b*m*n)) - (b^2*m^2*n^2*log(f*x + e)^2 + b^2*n^2*log(d)^2 + b^2*log(c)^2 + 2*a*b*log(c) + a^2 + 2*(b^2*m*n^2*log(d) + b^2*m*n*log(c) + a*b*m*n)*log(f*x + e) + 2*(b^2*n*log(c) + a*b*n)*log(d))*log_integral((f*x + e)*e^((b*n*log(d) + b*log(c) + a)/(b*m*n))))*e^(-(b*n*log(d) + b*log(c) + a)/(b*m*n))/(b^5*f*m^5*n^5*log(f*x + e)^2 + b^5*f*m^3*n^5*log(d)^2 + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3 + 2*(b^5*f*m^4*n^5*log(d) + b^5*f*m^4*n^4*log(c) + a*b^4*f*m^4*n^4)*log(f*x + e) + 2*(b^5*f*m^3*n^4*log(c) + a*b^4*f*m^3*n^4)*log(d))","B",0
411,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^(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
412,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
413,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^(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
414,-2,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^(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
415,-2,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^(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
416,-2,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^(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
417,-2,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^(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
418,1,80,0,0.931311," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^p,x, algorithm=""fricas"")","\frac{e^{\left(-\frac{b m n p \log\left(-\frac{1}{b m n}\right) + b n \log\left(d\right) + b \log\left(c\right) + a}{b m n}\right)} \Gamma\left(p + 1, -\frac{b m n \log\left(f x + e\right) + b n \log\left(d\right) + b \log\left(c\right) + a}{b m n}\right)}{f}"," ",0,"e^(-(b*m*n*p*log(-1/(b*m*n)) + b*n*log(d) + b*log(c) + a)/(b*m*n))*gamma(p + 1, -(b*m*n*log(f*x + e) + b*n*log(d) + b*log(c) + a)/(b*m*n))/f","A",0
419,0,0,0,0.942745," ","integrate((a+b*log(c*(d*(f*x+e)^(1/2))^(1/2)))^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b \log\left(\sqrt{\sqrt{f x + e} d} c\right) + a\right)}^{p}, x\right)"," ",0,"integral((b*log(sqrt(sqrt(f*x + e)*d)*c) + a)^p, x)","F",0
420,1,405,0,0.814122," ","integrate((h*x+g)^3*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","-\frac{3 \, {\left(b f^{4} h^{3} p q - 4 \, a f^{4} h^{3}\right)} x^{4} - 4 \, {\left(12 \, a f^{4} g h^{2} - {\left(4 \, b f^{4} g h^{2} - b e f^{3} h^{3}\right)} p q\right)} x^{3} - 6 \, {\left(12 \, a f^{4} g^{2} h - {\left(6 \, b f^{4} g^{2} h - 4 \, b e f^{3} g h^{2} + b e^{2} f^{2} h^{3}\right)} p q\right)} x^{2} - 12 \, {\left(4 \, a f^{4} g^{3} - {\left(4 \, b f^{4} g^{3} - 6 \, b e f^{3} g^{2} h + 4 \, b e^{2} f^{2} g h^{2} - b e^{3} f h^{3}\right)} p q\right)} x - 12 \, {\left(b f^{4} h^{3} p q x^{4} + 4 \, b f^{4} g h^{2} p q x^{3} + 6 \, b f^{4} g^{2} h p q x^{2} + 4 \, b f^{4} g^{3} p q x + {\left(4 \, b e f^{3} g^{3} - 6 \, b e^{2} f^{2} g^{2} h + 4 \, b e^{3} f g h^{2} - b e^{4} h^{3}\right)} p q\right)} \log\left(f x + e\right) - 12 \, {\left(b f^{4} h^{3} x^{4} + 4 \, b f^{4} g h^{2} x^{3} + 6 \, b f^{4} g^{2} h x^{2} + 4 \, b f^{4} g^{3} x\right)} \log\left(c\right) - 12 \, {\left(b f^{4} h^{3} q x^{4} + 4 \, b f^{4} g h^{2} q x^{3} + 6 \, b f^{4} g^{2} h q x^{2} + 4 \, b f^{4} g^{3} q x\right)} \log\left(d\right)}{48 \, f^{4}}"," ",0,"-1/48*(3*(b*f^4*h^3*p*q - 4*a*f^4*h^3)*x^4 - 4*(12*a*f^4*g*h^2 - (4*b*f^4*g*h^2 - b*e*f^3*h^3)*p*q)*x^3 - 6*(12*a*f^4*g^2*h - (6*b*f^4*g^2*h - 4*b*e*f^3*g*h^2 + b*e^2*f^2*h^3)*p*q)*x^2 - 12*(4*a*f^4*g^3 - (4*b*f^4*g^3 - 6*b*e*f^3*g^2*h + 4*b*e^2*f^2*g*h^2 - b*e^3*f*h^3)*p*q)*x - 12*(b*f^4*h^3*p*q*x^4 + 4*b*f^4*g*h^2*p*q*x^3 + 6*b*f^4*g^2*h*p*q*x^2 + 4*b*f^4*g^3*p*q*x + (4*b*e*f^3*g^3 - 6*b*e^2*f^2*g^2*h + 4*b*e^3*f*g*h^2 - b*e^4*h^3)*p*q)*log(f*x + e) - 12*(b*f^4*h^3*x^4 + 4*b*f^4*g*h^2*x^3 + 6*b*f^4*g^2*h*x^2 + 4*b*f^4*g^3*x)*log(c) - 12*(b*f^4*h^3*q*x^4 + 4*b*f^4*g*h^2*q*x^3 + 6*b*f^4*g^2*h*q*x^2 + 4*b*f^4*g^3*q*x)*log(d))/f^4","B",0
421,1,268,0,0.924184," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","-\frac{2 \, {\left(b f^{3} h^{2} p q - 3 \, a f^{3} h^{2}\right)} x^{3} - 3 \, {\left(6 \, a f^{3} g h - {\left(3 \, b f^{3} g h - b e f^{2} h^{2}\right)} p q\right)} x^{2} - 6 \, {\left(3 \, a f^{3} g^{2} - {\left(3 \, b f^{3} g^{2} - 3 \, b e f^{2} g h + b e^{2} f h^{2}\right)} p q\right)} x - 6 \, {\left(b f^{3} h^{2} p q x^{3} + 3 \, b f^{3} g h p q x^{2} + 3 \, b f^{3} g^{2} p q x + {\left(3 \, b e f^{2} g^{2} - 3 \, b e^{2} f g h + b e^{3} h^{2}\right)} p q\right)} \log\left(f x + e\right) - 6 \, {\left(b f^{3} h^{2} x^{3} + 3 \, b f^{3} g h x^{2} + 3 \, b f^{3} g^{2} x\right)} \log\left(c\right) - 6 \, {\left(b f^{3} h^{2} q x^{3} + 3 \, b f^{3} g h q x^{2} + 3 \, b f^{3} g^{2} q x\right)} \log\left(d\right)}{18 \, f^{3}}"," ",0,"-1/18*(2*(b*f^3*h^2*p*q - 3*a*f^3*h^2)*x^3 - 3*(6*a*f^3*g*h - (3*b*f^3*g*h - b*e*f^2*h^2)*p*q)*x^2 - 6*(3*a*f^3*g^2 - (3*b*f^3*g^2 - 3*b*e*f^2*g*h + b*e^2*f*h^2)*p*q)*x - 6*(b*f^3*h^2*p*q*x^3 + 3*b*f^3*g*h*p*q*x^2 + 3*b*f^3*g^2*p*q*x + (3*b*e*f^2*g^2 - 3*b*e^2*f*g*h + b*e^3*h^2)*p*q)*log(f*x + e) - 6*(b*f^3*h^2*x^3 + 3*b*f^3*g*h*x^2 + 3*b*f^3*g^2*x)*log(c) - 6*(b*f^3*h^2*q*x^3 + 3*b*f^3*g*h*q*x^2 + 3*b*f^3*g^2*q*x)*log(d))/f^3","B",0
422,1,148,0,0.710080," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","-\frac{{\left(b f^{2} h p q - 2 \, a f^{2} h\right)} x^{2} - 2 \, {\left(2 \, a f^{2} g - {\left(2 \, b f^{2} g - b e f h\right)} p q\right)} x - 2 \, {\left(b f^{2} h p q x^{2} + 2 \, b f^{2} g p q x + {\left(2 \, b e f g - b e^{2} h\right)} p q\right)} \log\left(f x + e\right) - 2 \, {\left(b f^{2} h x^{2} + 2 \, b f^{2} g x\right)} \log\left(c\right) - 2 \, {\left(b f^{2} h q x^{2} + 2 \, b f^{2} g q x\right)} \log\left(d\right)}{4 \, f^{2}}"," ",0,"-1/4*((b*f^2*h*p*q - 2*a*f^2*h)*x^2 - 2*(2*a*f^2*g - (2*b*f^2*g - b*e*f*h)*p*q)*x - 2*(b*f^2*h*p*q*x^2 + 2*b*f^2*g*p*q*x + (2*b*e*f*g - b*e^2*h)*p*q)*log(f*x + e) - 2*(b*f^2*h*x^2 + 2*b*f^2*g*x)*log(c) - 2*(b*f^2*h*q*x^2 + 2*b*f^2*g*q*x)*log(d))/f^2","A",0
423,1,50,0,1.127007," ","integrate(a+b*log(c*(d*(f*x+e)^p)^q),x, algorithm=""fricas"")","\frac{b f q x \log\left(d\right) + b f x \log\left(c\right) - {\left(b f p q - a f\right)} x + {\left(b f p q x + b e p q\right)} \log\left(f x + e\right)}{f}"," ",0,"(b*f*q*x*log(d) + b*f*x*log(c) - (b*f*p*q - a*f)*x + (b*f*p*q*x + b*e*p*q)*log(f*x + e))/f","A",0
424,0,0,0,0.986668," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{h x + g}, x\right)"," ",0,"integral((b*log(((f*x + e)^p*d)^q*c) + a)/(h*x + g), x)","F",0
425,1,113,0,0.892419," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^2,x, algorithm=""fricas"")","-\frac{a f g - a e h + {\left(b f g - b e h\right)} q \log\left(d\right) - {\left(b f h p q x + b e h p q\right)} \log\left(f x + e\right) + {\left(b f h p q x + b f g p q\right)} \log\left(h x + g\right) + {\left(b f g - b e h\right)} \log\left(c\right)}{f g^{2} h - e g h^{2} + {\left(f g h^{2} - e h^{3}\right)} x}"," ",0,"-(a*f*g - a*e*h + (b*f*g - b*e*h)*q*log(d) - (b*f*h*p*q*x + b*e*h*p*q)*log(f*x + e) + (b*f*h*p*q*x + b*f*g*p*q)*log(h*x + g) + (b*f*g - b*e*h)*log(c))/(f*g^2*h - e*g*h^2 + (f*g*h^2 - e*h^3)*x)","A",0
426,1,310,0,0.893220," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^3,x, algorithm=""fricas"")","-\frac{a f^{2} g^{2} - 2 \, a e f g h + a e^{2} h^{2} - {\left(b f^{2} g h - b e f h^{2}\right)} p q x - {\left(b f^{2} g^{2} - b e f g h\right)} p q + {\left(b f^{2} g^{2} - 2 \, b e f g h + b e^{2} h^{2}\right)} q \log\left(d\right) - {\left(b f^{2} h^{2} p q x^{2} + 2 \, b f^{2} g h p q x + {\left(2 \, b e f g h - b e^{2} h^{2}\right)} p q\right)} \log\left(f x + e\right) + {\left(b f^{2} h^{2} p q x^{2} + 2 \, b f^{2} g h p q x + b f^{2} g^{2} p q\right)} \log\left(h x + g\right) + {\left(b f^{2} g^{2} - 2 \, b e f g h + b e^{2} h^{2}\right)} \log\left(c\right)}{2 \, {\left(f^{2} g^{4} h - 2 \, e f g^{3} h^{2} + e^{2} g^{2} h^{3} + {\left(f^{2} g^{2} h^{3} - 2 \, e f g h^{4} + e^{2} h^{5}\right)} x^{2} + 2 \, {\left(f^{2} g^{3} h^{2} - 2 \, e f g^{2} h^{3} + e^{2} g h^{4}\right)} x\right)}}"," ",0,"-1/2*(a*f^2*g^2 - 2*a*e*f*g*h + a*e^2*h^2 - (b*f^2*g*h - b*e*f*h^2)*p*q*x - (b*f^2*g^2 - b*e*f*g*h)*p*q + (b*f^2*g^2 - 2*b*e*f*g*h + b*e^2*h^2)*q*log(d) - (b*f^2*h^2*p*q*x^2 + 2*b*f^2*g*h*p*q*x + (2*b*e*f*g*h - b*e^2*h^2)*p*q)*log(f*x + e) + (b*f^2*h^2*p*q*x^2 + 2*b*f^2*g*h*p*q*x + b*f^2*g^2*p*q)*log(h*x + g) + (b*f^2*g^2 - 2*b*e*f*g*h + b*e^2*h^2)*log(c))/(f^2*g^4*h - 2*e*f*g^3*h^2 + e^2*g^2*h^3 + (f^2*g^2*h^3 - 2*e*f*g*h^4 + e^2*h^5)*x^2 + 2*(f^2*g^3*h^2 - 2*e*f*g^2*h^3 + e^2*g*h^4)*x)","B",0
427,1,563,0,0.939158," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^4,x, algorithm=""fricas"")","-\frac{2 \, a f^{3} g^{3} - 6 \, a e f^{2} g^{2} h + 6 \, a e^{2} f g h^{2} - 2 \, a e^{3} h^{3} - 2 \, {\left(b f^{3} g h^{2} - b e f^{2} h^{3}\right)} p q x^{2} - {\left(5 \, b f^{3} g^{2} h - 6 \, b e f^{2} g h^{2} + b e^{2} f h^{3}\right)} p q x - {\left(3 \, b f^{3} g^{3} - 4 \, b e f^{2} g^{2} h + b e^{2} f g h^{2}\right)} p q + 2 \, {\left(b f^{3} g^{3} - 3 \, b e f^{2} g^{2} h + 3 \, b e^{2} f g h^{2} - b e^{3} h^{3}\right)} q \log\left(d\right) - 2 \, {\left(b f^{3} h^{3} p q x^{3} + 3 \, b f^{3} g h^{2} p q x^{2} + 3 \, b f^{3} g^{2} h p q x + {\left(3 \, b e f^{2} g^{2} h - 3 \, b e^{2} f g h^{2} + b e^{3} h^{3}\right)} p q\right)} \log\left(f x + e\right) + 2 \, {\left(b f^{3} h^{3} p q x^{3} + 3 \, b f^{3} g h^{2} p q x^{2} + 3 \, b f^{3} g^{2} h p q x + b f^{3} g^{3} p q\right)} \log\left(h x + g\right) + 2 \, {\left(b f^{3} g^{3} - 3 \, b e f^{2} g^{2} h + 3 \, b e^{2} f g h^{2} - b e^{3} h^{3}\right)} \log\left(c\right)}{6 \, {\left(f^{3} g^{6} h - 3 \, e f^{2} g^{5} h^{2} + 3 \, e^{2} f g^{4} h^{3} - e^{3} g^{3} h^{4} + {\left(f^{3} g^{3} h^{4} - 3 \, e f^{2} g^{2} h^{5} + 3 \, e^{2} f g h^{6} - e^{3} h^{7}\right)} x^{3} + 3 \, {\left(f^{3} g^{4} h^{3} - 3 \, e f^{2} g^{3} h^{4} + 3 \, e^{2} f g^{2} h^{5} - e^{3} g h^{6}\right)} x^{2} + 3 \, {\left(f^{3} g^{5} h^{2} - 3 \, e f^{2} g^{4} h^{3} + 3 \, e^{2} f g^{3} h^{4} - e^{3} g^{2} h^{5}\right)} x\right)}}"," ",0,"-1/6*(2*a*f^3*g^3 - 6*a*e*f^2*g^2*h + 6*a*e^2*f*g*h^2 - 2*a*e^3*h^3 - 2*(b*f^3*g*h^2 - b*e*f^2*h^3)*p*q*x^2 - (5*b*f^3*g^2*h - 6*b*e*f^2*g*h^2 + b*e^2*f*h^3)*p*q*x - (3*b*f^3*g^3 - 4*b*e*f^2*g^2*h + b*e^2*f*g*h^2)*p*q + 2*(b*f^3*g^3 - 3*b*e*f^2*g^2*h + 3*b*e^2*f*g*h^2 - b*e^3*h^3)*q*log(d) - 2*(b*f^3*h^3*p*q*x^3 + 3*b*f^3*g*h^2*p*q*x^2 + 3*b*f^3*g^2*h*p*q*x + (3*b*e*f^2*g^2*h - 3*b*e^2*f*g*h^2 + b*e^3*h^3)*p*q)*log(f*x + e) + 2*(b*f^3*h^3*p*q*x^3 + 3*b*f^3*g*h^2*p*q*x^2 + 3*b*f^3*g^2*h*p*q*x + b*f^3*g^3*p*q)*log(h*x + g) + 2*(b*f^3*g^3 - 3*b*e*f^2*g^2*h + 3*b*e^2*f*g*h^2 - b*e^3*h^3)*log(c))/(f^3*g^6*h - 3*e*f^2*g^5*h^2 + 3*e^2*f*g^4*h^3 - e^3*g^3*h^4 + (f^3*g^3*h^4 - 3*e*f^2*g^2*h^5 + 3*e^2*f*g*h^6 - e^3*h^7)*x^3 + 3*(f^3*g^4*h^3 - 3*e*f^2*g^3*h^4 + 3*e^2*f*g^2*h^5 - e^3*g*h^6)*x^2 + 3*(f^3*g^5*h^2 - 3*e*f^2*g^4*h^3 + 3*e^2*f*g^3*h^4 - e^3*g^2*h^5)*x)","B",0
428,1,1742,0,1.072272," ","integrate((h*x+g)^3*(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","\frac{9 \, {\left(b^{2} f^{4} h^{3} p^{2} q^{2} - 4 \, a b f^{4} h^{3} p q + 8 \, a^{2} f^{4} h^{3}\right)} x^{4} + 4 \, {\left(72 \, a^{2} f^{4} g h^{2} + {\left(16 \, b^{2} f^{4} g h^{2} - 7 \, b^{2} e f^{3} h^{3}\right)} p^{2} q^{2} - 12 \, {\left(4 \, a b f^{4} g h^{2} - a b e f^{3} h^{3}\right)} p q\right)} x^{3} + 6 \, {\left(72 \, a^{2} f^{4} g^{2} h + {\left(36 \, b^{2} f^{4} g^{2} h - 40 \, b^{2} e f^{3} g h^{2} + 13 \, b^{2} e^{2} f^{2} h^{3}\right)} p^{2} q^{2} - 12 \, {\left(6 \, a b f^{4} g^{2} h - 4 \, a b e f^{3} g h^{2} + a b e^{2} f^{2} h^{3}\right)} p q\right)} x^{2} + 72 \, {\left(b^{2} f^{4} h^{3} p^{2} q^{2} x^{4} + 4 \, b^{2} f^{4} g h^{2} p^{2} q^{2} x^{3} + 6 \, b^{2} f^{4} g^{2} h p^{2} q^{2} x^{2} + 4 \, b^{2} f^{4} g^{3} p^{2} q^{2} x + {\left(4 \, b^{2} e f^{3} g^{3} - 6 \, b^{2} e^{2} f^{2} g^{2} h + 4 \, b^{2} e^{3} f g h^{2} - b^{2} e^{4} h^{3}\right)} p^{2} q^{2}\right)} \log\left(f x + e\right)^{2} + 72 \, {\left(b^{2} f^{4} h^{3} x^{4} + 4 \, b^{2} f^{4} g h^{2} x^{3} + 6 \, b^{2} f^{4} g^{2} h x^{2} + 4 \, b^{2} f^{4} g^{3} x\right)} \log\left(c\right)^{2} + 72 \, {\left(b^{2} f^{4} h^{3} q^{2} x^{4} + 4 \, b^{2} f^{4} g h^{2} q^{2} x^{3} + 6 \, b^{2} f^{4} g^{2} h q^{2} x^{2} + 4 \, b^{2} f^{4} g^{3} q^{2} x\right)} \log\left(d\right)^{2} + 12 \, {\left(24 \, a^{2} f^{4} g^{3} + {\left(48 \, b^{2} f^{4} g^{3} - 108 \, b^{2} e f^{3} g^{2} h + 88 \, b^{2} e^{2} f^{2} g h^{2} - 25 \, b^{2} e^{3} f h^{3}\right)} p^{2} q^{2} - 12 \, {\left(4 \, a b f^{4} g^{3} - 6 \, a b e f^{3} g^{2} h + 4 \, a b e^{2} f^{2} g h^{2} - a b e^{3} f h^{3}\right)} p q\right)} x - 12 \, {\left({\left(48 \, b^{2} e f^{3} g^{3} - 108 \, b^{2} e^{2} f^{2} g^{2} h + 88 \, b^{2} e^{3} f g h^{2} - 25 \, b^{2} e^{4} h^{3}\right)} p^{2} q^{2} + 3 \, {\left(b^{2} f^{4} h^{3} p^{2} q^{2} - 4 \, a b f^{4} h^{3} p q\right)} x^{4} - 4 \, {\left(12 \, a b f^{4} g h^{2} p q - {\left(4 \, b^{2} f^{4} g h^{2} - b^{2} e f^{3} h^{3}\right)} p^{2} q^{2}\right)} x^{3} - 12 \, {\left(4 \, a b e f^{3} g^{3} - 6 \, a b e^{2} f^{2} g^{2} h + 4 \, a b e^{3} f g h^{2} - a b e^{4} h^{3}\right)} p q - 6 \, {\left(12 \, a b f^{4} g^{2} h p q - {\left(6 \, b^{2} f^{4} g^{2} h - 4 \, b^{2} e f^{3} g h^{2} + b^{2} e^{2} f^{2} h^{3}\right)} p^{2} q^{2}\right)} x^{2} - 12 \, {\left(4 \, a b f^{4} g^{3} p q - {\left(4 \, b^{2} f^{4} g^{3} - 6 \, b^{2} e f^{3} g^{2} h + 4 \, b^{2} e^{2} f^{2} g h^{2} - b^{2} e^{3} f h^{3}\right)} p^{2} q^{2}\right)} x - 12 \, {\left(b^{2} f^{4} h^{3} p q x^{4} + 4 \, b^{2} f^{4} g h^{2} p q x^{3} + 6 \, b^{2} f^{4} g^{2} h p q x^{2} + 4 \, b^{2} f^{4} g^{3} p q x + {\left(4 \, b^{2} e f^{3} g^{3} - 6 \, b^{2} e^{2} f^{2} g^{2} h + 4 \, b^{2} e^{3} f g h^{2} - b^{2} e^{4} h^{3}\right)} p q\right)} \log\left(c\right) - 12 \, {\left(b^{2} f^{4} h^{3} p q^{2} x^{4} + 4 \, b^{2} f^{4} g h^{2} p q^{2} x^{3} + 6 \, b^{2} f^{4} g^{2} h p q^{2} x^{2} + 4 \, b^{2} f^{4} g^{3} p q^{2} x + {\left(4 \, b^{2} e f^{3} g^{3} - 6 \, b^{2} e^{2} f^{2} g^{2} h + 4 \, b^{2} e^{3} f g h^{2} - b^{2} e^{4} h^{3}\right)} p q^{2}\right)} \log\left(d\right)\right)} \log\left(f x + e\right) - 12 \, {\left(3 \, {\left(b^{2} f^{4} h^{3} p q - 4 \, a b f^{4} h^{3}\right)} x^{4} - 4 \, {\left(12 \, a b f^{4} g h^{2} - {\left(4 \, b^{2} f^{4} g h^{2} - b^{2} e f^{3} h^{3}\right)} p q\right)} x^{3} - 6 \, {\left(12 \, a b f^{4} g^{2} h - {\left(6 \, b^{2} f^{4} g^{2} h - 4 \, b^{2} e f^{3} g h^{2} + b^{2} e^{2} f^{2} h^{3}\right)} p q\right)} x^{2} - 12 \, {\left(4 \, a b f^{4} g^{3} - {\left(4 \, b^{2} f^{4} g^{3} - 6 \, b^{2} e f^{3} g^{2} h + 4 \, b^{2} e^{2} f^{2} g h^{2} - b^{2} e^{3} f h^{3}\right)} p q\right)} x\right)} \log\left(c\right) - 12 \, {\left(3 \, {\left(b^{2} f^{4} h^{3} p q^{2} - 4 \, a b f^{4} h^{3} q\right)} x^{4} - 4 \, {\left(12 \, a b f^{4} g h^{2} q - {\left(4 \, b^{2} f^{4} g h^{2} - b^{2} e f^{3} h^{3}\right)} p q^{2}\right)} x^{3} - 6 \, {\left(12 \, a b f^{4} g^{2} h q - {\left(6 \, b^{2} f^{4} g^{2} h - 4 \, b^{2} e f^{3} g h^{2} + b^{2} e^{2} f^{2} h^{3}\right)} p q^{2}\right)} x^{2} - 12 \, {\left(4 \, a b f^{4} g^{3} q - {\left(4 \, b^{2} f^{4} g^{3} - 6 \, b^{2} e f^{3} g^{2} h + 4 \, b^{2} e^{2} f^{2} g h^{2} - b^{2} e^{3} f h^{3}\right)} p q^{2}\right)} x - 12 \, {\left(b^{2} f^{4} h^{3} q x^{4} + 4 \, b^{2} f^{4} g h^{2} q x^{3} + 6 \, b^{2} f^{4} g^{2} h q x^{2} + 4 \, b^{2} f^{4} g^{3} q x\right)} \log\left(c\right)\right)} \log\left(d\right)}{288 \, f^{4}}"," ",0,"1/288*(9*(b^2*f^4*h^3*p^2*q^2 - 4*a*b*f^4*h^3*p*q + 8*a^2*f^4*h^3)*x^4 + 4*(72*a^2*f^4*g*h^2 + (16*b^2*f^4*g*h^2 - 7*b^2*e*f^3*h^3)*p^2*q^2 - 12*(4*a*b*f^4*g*h^2 - a*b*e*f^3*h^3)*p*q)*x^3 + 6*(72*a^2*f^4*g^2*h + (36*b^2*f^4*g^2*h - 40*b^2*e*f^3*g*h^2 + 13*b^2*e^2*f^2*h^3)*p^2*q^2 - 12*(6*a*b*f^4*g^2*h - 4*a*b*e*f^3*g*h^2 + a*b*e^2*f^2*h^3)*p*q)*x^2 + 72*(b^2*f^4*h^3*p^2*q^2*x^4 + 4*b^2*f^4*g*h^2*p^2*q^2*x^3 + 6*b^2*f^4*g^2*h*p^2*q^2*x^2 + 4*b^2*f^4*g^3*p^2*q^2*x + (4*b^2*e*f^3*g^3 - 6*b^2*e^2*f^2*g^2*h + 4*b^2*e^3*f*g*h^2 - b^2*e^4*h^3)*p^2*q^2)*log(f*x + e)^2 + 72*(b^2*f^4*h^3*x^4 + 4*b^2*f^4*g*h^2*x^3 + 6*b^2*f^4*g^2*h*x^2 + 4*b^2*f^4*g^3*x)*log(c)^2 + 72*(b^2*f^4*h^3*q^2*x^4 + 4*b^2*f^4*g*h^2*q^2*x^3 + 6*b^2*f^4*g^2*h*q^2*x^2 + 4*b^2*f^4*g^3*q^2*x)*log(d)^2 + 12*(24*a^2*f^4*g^3 + (48*b^2*f^4*g^3 - 108*b^2*e*f^3*g^2*h + 88*b^2*e^2*f^2*g*h^2 - 25*b^2*e^3*f*h^3)*p^2*q^2 - 12*(4*a*b*f^4*g^3 - 6*a*b*e*f^3*g^2*h + 4*a*b*e^2*f^2*g*h^2 - a*b*e^3*f*h^3)*p*q)*x - 12*((48*b^2*e*f^3*g^3 - 108*b^2*e^2*f^2*g^2*h + 88*b^2*e^3*f*g*h^2 - 25*b^2*e^4*h^3)*p^2*q^2 + 3*(b^2*f^4*h^3*p^2*q^2 - 4*a*b*f^4*h^3*p*q)*x^4 - 4*(12*a*b*f^4*g*h^2*p*q - (4*b^2*f^4*g*h^2 - b^2*e*f^3*h^3)*p^2*q^2)*x^3 - 12*(4*a*b*e*f^3*g^3 - 6*a*b*e^2*f^2*g^2*h + 4*a*b*e^3*f*g*h^2 - a*b*e^4*h^3)*p*q - 6*(12*a*b*f^4*g^2*h*p*q - (6*b^2*f^4*g^2*h - 4*b^2*e*f^3*g*h^2 + b^2*e^2*f^2*h^3)*p^2*q^2)*x^2 - 12*(4*a*b*f^4*g^3*p*q - (4*b^2*f^4*g^3 - 6*b^2*e*f^3*g^2*h + 4*b^2*e^2*f^2*g*h^2 - b^2*e^3*f*h^3)*p^2*q^2)*x - 12*(b^2*f^4*h^3*p*q*x^4 + 4*b^2*f^4*g*h^2*p*q*x^3 + 6*b^2*f^4*g^2*h*p*q*x^2 + 4*b^2*f^4*g^3*p*q*x + (4*b^2*e*f^3*g^3 - 6*b^2*e^2*f^2*g^2*h + 4*b^2*e^3*f*g*h^2 - b^2*e^4*h^3)*p*q)*log(c) - 12*(b^2*f^4*h^3*p*q^2*x^4 + 4*b^2*f^4*g*h^2*p*q^2*x^3 + 6*b^2*f^4*g^2*h*p*q^2*x^2 + 4*b^2*f^4*g^3*p*q^2*x + (4*b^2*e*f^3*g^3 - 6*b^2*e^2*f^2*g^2*h + 4*b^2*e^3*f*g*h^2 - b^2*e^4*h^3)*p*q^2)*log(d))*log(f*x + e) - 12*(3*(b^2*f^4*h^3*p*q - 4*a*b*f^4*h^3)*x^4 - 4*(12*a*b*f^4*g*h^2 - (4*b^2*f^4*g*h^2 - b^2*e*f^3*h^3)*p*q)*x^3 - 6*(12*a*b*f^4*g^2*h - (6*b^2*f^4*g^2*h - 4*b^2*e*f^3*g*h^2 + b^2*e^2*f^2*h^3)*p*q)*x^2 - 12*(4*a*b*f^4*g^3 - (4*b^2*f^4*g^3 - 6*b^2*e*f^3*g^2*h + 4*b^2*e^2*f^2*g*h^2 - b^2*e^3*f*h^3)*p*q)*x)*log(c) - 12*(3*(b^2*f^4*h^3*p*q^2 - 4*a*b*f^4*h^3*q)*x^4 - 4*(12*a*b*f^4*g*h^2*q - (4*b^2*f^4*g*h^2 - b^2*e*f^3*h^3)*p*q^2)*x^3 - 6*(12*a*b*f^4*g^2*h*q - (6*b^2*f^4*g^2*h - 4*b^2*e*f^3*g*h^2 + b^2*e^2*f^2*h^3)*p*q^2)*x^2 - 12*(4*a*b*f^4*g^3*q - (4*b^2*f^4*g^3 - 6*b^2*e*f^3*g^2*h + 4*b^2*e^2*f^2*g*h^2 - b^2*e^3*f*h^3)*p*q^2)*x - 12*(b^2*f^4*h^3*q*x^4 + 4*b^2*f^4*g*h^2*q*x^3 + 6*b^2*f^4*g^2*h*q*x^2 + 4*b^2*f^4*g^3*q*x)*log(c))*log(d))/f^4","B",0
429,1,1137,0,0.677618," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, b^{2} f^{3} h^{2} p^{2} q^{2} - 6 \, a b f^{3} h^{2} p q + 9 \, a^{2} f^{3} h^{2}\right)} x^{3} + 3 \, {\left(18 \, a^{2} f^{3} g h + {\left(9 \, b^{2} f^{3} g h - 5 \, b^{2} e f^{2} h^{2}\right)} p^{2} q^{2} - 6 \, {\left(3 \, a b f^{3} g h - a b e f^{2} h^{2}\right)} p q\right)} x^{2} + 18 \, {\left(b^{2} f^{3} h^{2} p^{2} q^{2} x^{3} + 3 \, b^{2} f^{3} g h p^{2} q^{2} x^{2} + 3 \, b^{2} f^{3} g^{2} p^{2} q^{2} x + {\left(3 \, b^{2} e f^{2} g^{2} - 3 \, b^{2} e^{2} f g h + b^{2} e^{3} h^{2}\right)} p^{2} q^{2}\right)} \log\left(f x + e\right)^{2} + 18 \, {\left(b^{2} f^{3} h^{2} x^{3} + 3 \, b^{2} f^{3} g h x^{2} + 3 \, b^{2} f^{3} g^{2} x\right)} \log\left(c\right)^{2} + 18 \, {\left(b^{2} f^{3} h^{2} q^{2} x^{3} + 3 \, b^{2} f^{3} g h q^{2} x^{2} + 3 \, b^{2} f^{3} g^{2} q^{2} x\right)} \log\left(d\right)^{2} + 6 \, {\left(9 \, a^{2} f^{3} g^{2} + {\left(18 \, b^{2} f^{3} g^{2} - 27 \, b^{2} e f^{2} g h + 11 \, b^{2} e^{2} f h^{2}\right)} p^{2} q^{2} - 6 \, {\left(3 \, a b f^{3} g^{2} - 3 \, a b e f^{2} g h + a b e^{2} f h^{2}\right)} p q\right)} x - 6 \, {\left({\left(18 \, b^{2} e f^{2} g^{2} - 27 \, b^{2} e^{2} f g h + 11 \, b^{2} e^{3} h^{2}\right)} p^{2} q^{2} + 2 \, {\left(b^{2} f^{3} h^{2} p^{2} q^{2} - 3 \, a b f^{3} h^{2} p q\right)} x^{3} - 6 \, {\left(3 \, a b e f^{2} g^{2} - 3 \, a b e^{2} f g h + a b e^{3} h^{2}\right)} p q - 3 \, {\left(6 \, a b f^{3} g h p q - {\left(3 \, b^{2} f^{3} g h - b^{2} e f^{2} h^{2}\right)} p^{2} q^{2}\right)} x^{2} - 6 \, {\left(3 \, a b f^{3} g^{2} p q - {\left(3 \, b^{2} f^{3} g^{2} - 3 \, b^{2} e f^{2} g h + b^{2} e^{2} f h^{2}\right)} p^{2} q^{2}\right)} x - 6 \, {\left(b^{2} f^{3} h^{2} p q x^{3} + 3 \, b^{2} f^{3} g h p q x^{2} + 3 \, b^{2} f^{3} g^{2} p q x + {\left(3 \, b^{2} e f^{2} g^{2} - 3 \, b^{2} e^{2} f g h + b^{2} e^{3} h^{2}\right)} p q\right)} \log\left(c\right) - 6 \, {\left(b^{2} f^{3} h^{2} p q^{2} x^{3} + 3 \, b^{2} f^{3} g h p q^{2} x^{2} + 3 \, b^{2} f^{3} g^{2} p q^{2} x + {\left(3 \, b^{2} e f^{2} g^{2} - 3 \, b^{2} e^{2} f g h + b^{2} e^{3} h^{2}\right)} p q^{2}\right)} \log\left(d\right)\right)} \log\left(f x + e\right) - 6 \, {\left(2 \, {\left(b^{2} f^{3} h^{2} p q - 3 \, a b f^{3} h^{2}\right)} x^{3} - 3 \, {\left(6 \, a b f^{3} g h - {\left(3 \, b^{2} f^{3} g h - b^{2} e f^{2} h^{2}\right)} p q\right)} x^{2} - 6 \, {\left(3 \, a b f^{3} g^{2} - {\left(3 \, b^{2} f^{3} g^{2} - 3 \, b^{2} e f^{2} g h + b^{2} e^{2} f h^{2}\right)} p q\right)} x\right)} \log\left(c\right) - 6 \, {\left(2 \, {\left(b^{2} f^{3} h^{2} p q^{2} - 3 \, a b f^{3} h^{2} q\right)} x^{3} - 3 \, {\left(6 \, a b f^{3} g h q - {\left(3 \, b^{2} f^{3} g h - b^{2} e f^{2} h^{2}\right)} p q^{2}\right)} x^{2} - 6 \, {\left(3 \, a b f^{3} g^{2} q - {\left(3 \, b^{2} f^{3} g^{2} - 3 \, b^{2} e f^{2} g h + b^{2} e^{2} f h^{2}\right)} p q^{2}\right)} x - 6 \, {\left(b^{2} f^{3} h^{2} q x^{3} + 3 \, b^{2} f^{3} g h q x^{2} + 3 \, b^{2} f^{3} g^{2} q x\right)} \log\left(c\right)\right)} \log\left(d\right)}{54 \, f^{3}}"," ",0,"1/54*(2*(2*b^2*f^3*h^2*p^2*q^2 - 6*a*b*f^3*h^2*p*q + 9*a^2*f^3*h^2)*x^3 + 3*(18*a^2*f^3*g*h + (9*b^2*f^3*g*h - 5*b^2*e*f^2*h^2)*p^2*q^2 - 6*(3*a*b*f^3*g*h - a*b*e*f^2*h^2)*p*q)*x^2 + 18*(b^2*f^3*h^2*p^2*q^2*x^3 + 3*b^2*f^3*g*h*p^2*q^2*x^2 + 3*b^2*f^3*g^2*p^2*q^2*x + (3*b^2*e*f^2*g^2 - 3*b^2*e^2*f*g*h + b^2*e^3*h^2)*p^2*q^2)*log(f*x + e)^2 + 18*(b^2*f^3*h^2*x^3 + 3*b^2*f^3*g*h*x^2 + 3*b^2*f^3*g^2*x)*log(c)^2 + 18*(b^2*f^3*h^2*q^2*x^3 + 3*b^2*f^3*g*h*q^2*x^2 + 3*b^2*f^3*g^2*q^2*x)*log(d)^2 + 6*(9*a^2*f^3*g^2 + (18*b^2*f^3*g^2 - 27*b^2*e*f^2*g*h + 11*b^2*e^2*f*h^2)*p^2*q^2 - 6*(3*a*b*f^3*g^2 - 3*a*b*e*f^2*g*h + a*b*e^2*f*h^2)*p*q)*x - 6*((18*b^2*e*f^2*g^2 - 27*b^2*e^2*f*g*h + 11*b^2*e^3*h^2)*p^2*q^2 + 2*(b^2*f^3*h^2*p^2*q^2 - 3*a*b*f^3*h^2*p*q)*x^3 - 6*(3*a*b*e*f^2*g^2 - 3*a*b*e^2*f*g*h + a*b*e^3*h^2)*p*q - 3*(6*a*b*f^3*g*h*p*q - (3*b^2*f^3*g*h - b^2*e*f^2*h^2)*p^2*q^2)*x^2 - 6*(3*a*b*f^3*g^2*p*q - (3*b^2*f^3*g^2 - 3*b^2*e*f^2*g*h + b^2*e^2*f*h^2)*p^2*q^2)*x - 6*(b^2*f^3*h^2*p*q*x^3 + 3*b^2*f^3*g*h*p*q*x^2 + 3*b^2*f^3*g^2*p*q*x + (3*b^2*e*f^2*g^2 - 3*b^2*e^2*f*g*h + b^2*e^3*h^2)*p*q)*log(c) - 6*(b^2*f^3*h^2*p*q^2*x^3 + 3*b^2*f^3*g*h*p*q^2*x^2 + 3*b^2*f^3*g^2*p*q^2*x + (3*b^2*e*f^2*g^2 - 3*b^2*e^2*f*g*h + b^2*e^3*h^2)*p*q^2)*log(d))*log(f*x + e) - 6*(2*(b^2*f^3*h^2*p*q - 3*a*b*f^3*h^2)*x^3 - 3*(6*a*b*f^3*g*h - (3*b^2*f^3*g*h - b^2*e*f^2*h^2)*p*q)*x^2 - 6*(3*a*b*f^3*g^2 - (3*b^2*f^3*g^2 - 3*b^2*e*f^2*g*h + b^2*e^2*f*h^2)*p*q)*x)*log(c) - 6*(2*(b^2*f^3*h^2*p*q^2 - 3*a*b*f^3*h^2*q)*x^3 - 3*(6*a*b*f^3*g*h*q - (3*b^2*f^3*g*h - b^2*e*f^2*h^2)*p*q^2)*x^2 - 6*(3*a*b*f^3*g^2*q - (3*b^2*f^3*g^2 - 3*b^2*e*f^2*g*h + b^2*e^2*f*h^2)*p*q^2)*x - 6*(b^2*f^3*h^2*q*x^3 + 3*b^2*f^3*g*h*q*x^2 + 3*b^2*f^3*g^2*q*x)*log(c))*log(d))/f^3","B",0
430,1,622,0,0.861857," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","\frac{{\left(b^{2} f^{2} h p^{2} q^{2} - 2 \, a b f^{2} h p q + 2 \, a^{2} f^{2} h\right)} x^{2} + 2 \, {\left(b^{2} f^{2} h p^{2} q^{2} x^{2} + 2 \, b^{2} f^{2} g p^{2} q^{2} x + {\left(2 \, b^{2} e f g - b^{2} e^{2} h\right)} p^{2} q^{2}\right)} \log\left(f x + e\right)^{2} + 2 \, {\left(b^{2} f^{2} h x^{2} + 2 \, b^{2} f^{2} g x\right)} \log\left(c\right)^{2} + 2 \, {\left(b^{2} f^{2} h q^{2} x^{2} + 2 \, b^{2} f^{2} g q^{2} x\right)} \log\left(d\right)^{2} + 2 \, {\left(2 \, a^{2} f^{2} g + {\left(4 \, b^{2} f^{2} g - 3 \, b^{2} e f h\right)} p^{2} q^{2} - 2 \, {\left(2 \, a b f^{2} g - a b e f h\right)} p q\right)} x - 2 \, {\left({\left(4 \, b^{2} e f g - 3 \, b^{2} e^{2} h\right)} p^{2} q^{2} - 2 \, {\left(2 \, a b e f g - a b e^{2} h\right)} p q + {\left(b^{2} f^{2} h p^{2} q^{2} - 2 \, a b f^{2} h p q\right)} x^{2} - 2 \, {\left(2 \, a b f^{2} g p q - {\left(2 \, b^{2} f^{2} g - b^{2} e f h\right)} p^{2} q^{2}\right)} x - 2 \, {\left(b^{2} f^{2} h p q x^{2} + 2 \, b^{2} f^{2} g p q x + {\left(2 \, b^{2} e f g - b^{2} e^{2} h\right)} p q\right)} \log\left(c\right) - 2 \, {\left(b^{2} f^{2} h p q^{2} x^{2} + 2 \, b^{2} f^{2} g p q^{2} x + {\left(2 \, b^{2} e f g - b^{2} e^{2} h\right)} p q^{2}\right)} \log\left(d\right)\right)} \log\left(f x + e\right) - 2 \, {\left({\left(b^{2} f^{2} h p q - 2 \, a b f^{2} h\right)} x^{2} - 2 \, {\left(2 \, a b f^{2} g - {\left(2 \, b^{2} f^{2} g - b^{2} e f h\right)} p q\right)} x\right)} \log\left(c\right) - 2 \, {\left({\left(b^{2} f^{2} h p q^{2} - 2 \, a b f^{2} h q\right)} x^{2} - 2 \, {\left(2 \, a b f^{2} g q - {\left(2 \, b^{2} f^{2} g - b^{2} e f h\right)} p q^{2}\right)} x - 2 \, {\left(b^{2} f^{2} h q x^{2} + 2 \, b^{2} f^{2} g q x\right)} \log\left(c\right)\right)} \log\left(d\right)}{4 \, f^{2}}"," ",0,"1/4*((b^2*f^2*h*p^2*q^2 - 2*a*b*f^2*h*p*q + 2*a^2*f^2*h)*x^2 + 2*(b^2*f^2*h*p^2*q^2*x^2 + 2*b^2*f^2*g*p^2*q^2*x + (2*b^2*e*f*g - b^2*e^2*h)*p^2*q^2)*log(f*x + e)^2 + 2*(b^2*f^2*h*x^2 + 2*b^2*f^2*g*x)*log(c)^2 + 2*(b^2*f^2*h*q^2*x^2 + 2*b^2*f^2*g*q^2*x)*log(d)^2 + 2*(2*a^2*f^2*g + (4*b^2*f^2*g - 3*b^2*e*f*h)*p^2*q^2 - 2*(2*a*b*f^2*g - a*b*e*f*h)*p*q)*x - 2*((4*b^2*e*f*g - 3*b^2*e^2*h)*p^2*q^2 - 2*(2*a*b*e*f*g - a*b*e^2*h)*p*q + (b^2*f^2*h*p^2*q^2 - 2*a*b*f^2*h*p*q)*x^2 - 2*(2*a*b*f^2*g*p*q - (2*b^2*f^2*g - b^2*e*f*h)*p^2*q^2)*x - 2*(b^2*f^2*h*p*q*x^2 + 2*b^2*f^2*g*p*q*x + (2*b^2*e*f*g - b^2*e^2*h)*p*q)*log(c) - 2*(b^2*f^2*h*p*q^2*x^2 + 2*b^2*f^2*g*p*q^2*x + (2*b^2*e*f*g - b^2*e^2*h)*p*q^2)*log(d))*log(f*x + e) - 2*((b^2*f^2*h*p*q - 2*a*b*f^2*h)*x^2 - 2*(2*a*b*f^2*g - (2*b^2*f^2*g - b^2*e*f*h)*p*q)*x)*log(c) - 2*((b^2*f^2*h*p*q^2 - 2*a*b*f^2*h*q)*x^2 - 2*(2*a*b*f^2*g*q - (2*b^2*f^2*g - b^2*e*f*h)*p*q^2)*x - 2*(b^2*f^2*h*q*x^2 + 2*b^2*f^2*g*q*x)*log(c))*log(d))/f^2","B",0
431,1,231,0,0.711916," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","\frac{b^{2} f q^{2} x \log\left(d\right)^{2} + b^{2} f x \log\left(c\right)^{2} + {\left(b^{2} f p^{2} q^{2} x + b^{2} e p^{2} q^{2}\right)} \log\left(f x + e\right)^{2} - 2 \, {\left(b^{2} f p q - a b f\right)} x \log\left(c\right) + {\left(2 \, b^{2} f p^{2} q^{2} - 2 \, a b f p q + a^{2} f\right)} x - 2 \, {\left(b^{2} e p^{2} q^{2} - a b e p q + {\left(b^{2} f p^{2} q^{2} - a b f p q\right)} x - {\left(b^{2} f p q x + b^{2} e p q\right)} \log\left(c\right) - {\left(b^{2} f p q^{2} x + b^{2} e p q^{2}\right)} \log\left(d\right)\right)} \log\left(f x + e\right) + 2 \, {\left(b^{2} f q x \log\left(c\right) - {\left(b^{2} f p q^{2} - a b f q\right)} x\right)} \log\left(d\right)}{f}"," ",0,"(b^2*f*q^2*x*log(d)^2 + b^2*f*x*log(c)^2 + (b^2*f*p^2*q^2*x + b^2*e*p^2*q^2)*log(f*x + e)^2 - 2*(b^2*f*p*q - a*b*f)*x*log(c) + (2*b^2*f*p^2*q^2 - 2*a*b*f*p*q + a^2*f)*x - 2*(b^2*e*p^2*q^2 - a*b*e*p*q + (b^2*f*p^2*q^2 - a*b*f*p*q)*x - (b^2*f*p*q*x + b^2*e*p*q)*log(c) - (b^2*f*p*q^2*x + b^2*e*p*q^2)*log(d))*log(f*x + e) + 2*(b^2*f*q*x*log(c) - (b^2*f*p*q^2 - a*b*f*q)*x)*log(d))/f","B",0
432,0,0,0,0.886499," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{2}}{h x + g}, x\right)"," ",0,"integral((b^2*log(((f*x + e)^p*d)^q*c)^2 + 2*a*b*log(((f*x + e)^p*d)^q*c) + a^2)/(h*x + g), x)","F",0
433,0,0,0,0.721575," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{2}}{h^{2} x^{2} + 2 \, g h x + g^{2}}, x\right)"," ",0,"integral((b^2*log(((f*x + e)^p*d)^q*c)^2 + 2*a*b*log(((f*x + e)^p*d)^q*c) + a^2)/(h^2*x^2 + 2*g*h*x + g^2), x)","F",0
434,0,0,0,0.986196," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{2}}{h^{3} x^{3} + 3 \, g h^{2} x^{2} + 3 \, g^{2} h x + g^{3}}, x\right)"," ",0,"integral((b^2*log(((f*x + e)^p*d)^q*c)^2 + 2*a*b*log(((f*x + e)^p*d)^q*c) + a^2)/(h^3*x^3 + 3*g*h^2*x^2 + 3*g^2*h*x + g^3), x)","F",0
435,1,3121,0,1.011023," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""fricas"")","-\frac{4 \, {\left(2 \, b^{3} f^{3} h^{2} p^{3} q^{3} - 6 \, a b^{2} f^{3} h^{2} p^{2} q^{2} + 9 \, a^{2} b f^{3} h^{2} p q - 9 \, a^{3} f^{3} h^{2}\right)} x^{3} - 36 \, {\left(b^{3} f^{3} h^{2} p^{3} q^{3} x^{3} + 3 \, b^{3} f^{3} g h p^{3} q^{3} x^{2} + 3 \, b^{3} f^{3} g^{2} p^{3} q^{3} x + {\left(3 \, b^{3} e f^{2} g^{2} - 3 \, b^{3} e^{2} f g h + b^{3} e^{3} h^{2}\right)} p^{3} q^{3}\right)} \log\left(f x + e\right)^{3} - 36 \, {\left(b^{3} f^{3} h^{2} x^{3} + 3 \, b^{3} f^{3} g h x^{2} + 3 \, b^{3} f^{3} g^{2} x\right)} \log\left(c\right)^{3} - 36 \, {\left(b^{3} f^{3} h^{2} q^{3} x^{3} + 3 \, b^{3} f^{3} g h q^{3} x^{2} + 3 \, b^{3} f^{3} g^{2} q^{3} x\right)} \log\left(d\right)^{3} - 3 \, {\left(36 \, a^{3} f^{3} g h - {\left(27 \, b^{3} f^{3} g h - 19 \, b^{3} e f^{2} h^{2}\right)} p^{3} q^{3} + 6 \, {\left(9 \, a b^{2} f^{3} g h - 5 \, a b^{2} e f^{2} h^{2}\right)} p^{2} q^{2} - 18 \, {\left(3 \, a^{2} b f^{3} g h - a^{2} b e f^{2} h^{2}\right)} p q\right)} x^{2} + 18 \, {\left({\left(18 \, b^{3} e f^{2} g^{2} - 27 \, b^{3} e^{2} f g h + 11 \, b^{3} e^{3} h^{2}\right)} p^{3} q^{3} - 6 \, {\left(3 \, a b^{2} e f^{2} g^{2} - 3 \, a b^{2} e^{2} f g h + a b^{2} e^{3} h^{2}\right)} p^{2} q^{2} + 2 \, {\left(b^{3} f^{3} h^{2} p^{3} q^{3} - 3 \, a b^{2} f^{3} h^{2} p^{2} q^{2}\right)} x^{3} - 3 \, {\left(6 \, a b^{2} f^{3} g h p^{2} q^{2} - {\left(3 \, b^{3} f^{3} g h - b^{3} e f^{2} h^{2}\right)} p^{3} q^{3}\right)} x^{2} - 6 \, {\left(3 \, a b^{2} f^{3} g^{2} p^{2} q^{2} - {\left(3 \, b^{3} f^{3} g^{2} - 3 \, b^{3} e f^{2} g h + b^{3} e^{2} f h^{2}\right)} p^{3} q^{3}\right)} x - 6 \, {\left(b^{3} f^{3} h^{2} p^{2} q^{2} x^{3} + 3 \, b^{3} f^{3} g h p^{2} q^{2} x^{2} + 3 \, b^{3} f^{3} g^{2} p^{2} q^{2} x + {\left(3 \, b^{3} e f^{2} g^{2} - 3 \, b^{3} e^{2} f g h + b^{3} e^{3} h^{2}\right)} p^{2} q^{2}\right)} \log\left(c\right) - 6 \, {\left(b^{3} f^{3} h^{2} p^{2} q^{3} x^{3} + 3 \, b^{3} f^{3} g h p^{2} q^{3} x^{2} + 3 \, b^{3} f^{3} g^{2} p^{2} q^{3} x + {\left(3 \, b^{3} e f^{2} g^{2} - 3 \, b^{3} e^{2} f g h + b^{3} e^{3} h^{2}\right)} p^{2} q^{3}\right)} \log\left(d\right)\right)} \log\left(f x + e\right)^{2} + 18 \, {\left(2 \, {\left(b^{3} f^{3} h^{2} p q - 3 \, a b^{2} f^{3} h^{2}\right)} x^{3} - 3 \, {\left(6 \, a b^{2} f^{3} g h - {\left(3 \, b^{3} f^{3} g h - b^{3} e f^{2} h^{2}\right)} p q\right)} x^{2} - 6 \, {\left(3 \, a b^{2} f^{3} g^{2} - {\left(3 \, b^{3} f^{3} g^{2} - 3 \, b^{3} e f^{2} g h + b^{3} e^{2} f h^{2}\right)} p q\right)} x\right)} \log\left(c\right)^{2} + 18 \, {\left(2 \, {\left(b^{3} f^{3} h^{2} p q^{3} - 3 \, a b^{2} f^{3} h^{2} q^{2}\right)} x^{3} - 3 \, {\left(6 \, a b^{2} f^{3} g h q^{2} - {\left(3 \, b^{3} f^{3} g h - b^{3} e f^{2} h^{2}\right)} p q^{3}\right)} x^{2} - 6 \, {\left(3 \, a b^{2} f^{3} g^{2} q^{2} - {\left(3 \, b^{3} f^{3} g^{2} - 3 \, b^{3} e f^{2} g h + b^{3} e^{2} f h^{2}\right)} p q^{3}\right)} x - 6 \, {\left(b^{3} f^{3} h^{2} q^{2} x^{3} + 3 \, b^{3} f^{3} g h q^{2} x^{2} + 3 \, b^{3} f^{3} g^{2} q^{2} x\right)} \log\left(c\right)\right)} \log\left(d\right)^{2} - 6 \, {\left(18 \, a^{3} f^{3} g^{2} - {\left(108 \, b^{3} f^{3} g^{2} - 189 \, b^{3} e f^{2} g h + 85 \, b^{3} e^{2} f h^{2}\right)} p^{3} q^{3} + 6 \, {\left(18 \, a b^{2} f^{3} g^{2} - 27 \, a b^{2} e f^{2} g h + 11 \, a b^{2} e^{2} f h^{2}\right)} p^{2} q^{2} - 18 \, {\left(3 \, a^{2} b f^{3} g^{2} - 3 \, a^{2} b e f^{2} g h + a^{2} b e^{2} f h^{2}\right)} p q\right)} x - 6 \, {\left({\left(108 \, b^{3} e f^{2} g^{2} - 189 \, b^{3} e^{2} f g h + 85 \, b^{3} e^{3} h^{2}\right)} p^{3} q^{3} - 6 \, {\left(18 \, a b^{2} e f^{2} g^{2} - 27 \, a b^{2} e^{2} f g h + 11 \, a b^{2} e^{3} h^{2}\right)} p^{2} q^{2} + 2 \, {\left(2 \, b^{3} f^{3} h^{2} p^{3} q^{3} - 6 \, a b^{2} f^{3} h^{2} p^{2} q^{2} + 9 \, a^{2} b f^{3} h^{2} p q\right)} x^{3} + 18 \, {\left(3 \, a^{2} b e f^{2} g^{2} - 3 \, a^{2} b e^{2} f g h + a^{2} b e^{3} h^{2}\right)} p q + 3 \, {\left(18 \, a^{2} b f^{3} g h p q + {\left(9 \, b^{3} f^{3} g h - 5 \, b^{3} e f^{2} h^{2}\right)} p^{3} q^{3} - 6 \, {\left(3 \, a b^{2} f^{3} g h - a b^{2} e f^{2} h^{2}\right)} p^{2} q^{2}\right)} x^{2} + 18 \, {\left(b^{3} f^{3} h^{2} p q x^{3} + 3 \, b^{3} f^{3} g h p q x^{2} + 3 \, b^{3} f^{3} g^{2} p q x + {\left(3 \, b^{3} e f^{2} g^{2} - 3 \, b^{3} e^{2} f g h + b^{3} e^{3} h^{2}\right)} p q\right)} \log\left(c\right)^{2} + 18 \, {\left(b^{3} f^{3} h^{2} p q^{3} x^{3} + 3 \, b^{3} f^{3} g h p q^{3} x^{2} + 3 \, b^{3} f^{3} g^{2} p q^{3} x + {\left(3 \, b^{3} e f^{2} g^{2} - 3 \, b^{3} e^{2} f g h + b^{3} e^{3} h^{2}\right)} p q^{3}\right)} \log\left(d\right)^{2} + 6 \, {\left(9 \, a^{2} b f^{3} g^{2} p q + {\left(18 \, b^{3} f^{3} g^{2} - 27 \, b^{3} e f^{2} g h + 11 \, b^{3} e^{2} f h^{2}\right)} p^{3} q^{3} - 6 \, {\left(3 \, a b^{2} f^{3} g^{2} - 3 \, a b^{2} e f^{2} g h + a b^{2} e^{2} f h^{2}\right)} p^{2} q^{2}\right)} x - 6 \, {\left({\left(18 \, b^{3} e f^{2} g^{2} - 27 \, b^{3} e^{2} f g h + 11 \, b^{3} e^{3} h^{2}\right)} p^{2} q^{2} + 2 \, {\left(b^{3} f^{3} h^{2} p^{2} q^{2} - 3 \, a b^{2} f^{3} h^{2} p q\right)} x^{3} - 6 \, {\left(3 \, a b^{2} e f^{2} g^{2} - 3 \, a b^{2} e^{2} f g h + a b^{2} e^{3} h^{2}\right)} p q - 3 \, {\left(6 \, a b^{2} f^{3} g h p q - {\left(3 \, b^{3} f^{3} g h - b^{3} e f^{2} h^{2}\right)} p^{2} q^{2}\right)} x^{2} - 6 \, {\left(3 \, a b^{2} f^{3} g^{2} p q - {\left(3 \, b^{3} f^{3} g^{2} - 3 \, b^{3} e f^{2} g h + b^{3} e^{2} f h^{2}\right)} p^{2} q^{2}\right)} x\right)} \log\left(c\right) - 6 \, {\left({\left(18 \, b^{3} e f^{2} g^{2} - 27 \, b^{3} e^{2} f g h + 11 \, b^{3} e^{3} h^{2}\right)} p^{2} q^{3} - 6 \, {\left(3 \, a b^{2} e f^{2} g^{2} - 3 \, a b^{2} e^{2} f g h + a b^{2} e^{3} h^{2}\right)} p q^{2} + 2 \, {\left(b^{3} f^{3} h^{2} p^{2} q^{3} - 3 \, a b^{2} f^{3} h^{2} p q^{2}\right)} x^{3} - 3 \, {\left(6 \, a b^{2} f^{3} g h p q^{2} - {\left(3 \, b^{3} f^{3} g h - b^{3} e f^{2} h^{2}\right)} p^{2} q^{3}\right)} x^{2} - 6 \, {\left(3 \, a b^{2} f^{3} g^{2} p q^{2} - {\left(3 \, b^{3} f^{3} g^{2} - 3 \, b^{3} e f^{2} g h + b^{3} e^{2} f h^{2}\right)} p^{2} q^{3}\right)} x - 6 \, {\left(b^{3} f^{3} h^{2} p q^{2} x^{3} + 3 \, b^{3} f^{3} g h p q^{2} x^{2} + 3 \, b^{3} f^{3} g^{2} p q^{2} x + {\left(3 \, b^{3} e f^{2} g^{2} - 3 \, b^{3} e^{2} f g h + b^{3} e^{3} h^{2}\right)} p q^{2}\right)} \log\left(c\right)\right)} \log\left(d\right)\right)} \log\left(f x + e\right) - 6 \, {\left(2 \, {\left(2 \, b^{3} f^{3} h^{2} p^{2} q^{2} - 6 \, a b^{2} f^{3} h^{2} p q + 9 \, a^{2} b f^{3} h^{2}\right)} x^{3} + 3 \, {\left(18 \, a^{2} b f^{3} g h + {\left(9 \, b^{3} f^{3} g h - 5 \, b^{3} e f^{2} h^{2}\right)} p^{2} q^{2} - 6 \, {\left(3 \, a b^{2} f^{3} g h - a b^{2} e f^{2} h^{2}\right)} p q\right)} x^{2} + 6 \, {\left(9 \, a^{2} b f^{3} g^{2} + {\left(18 \, b^{3} f^{3} g^{2} - 27 \, b^{3} e f^{2} g h + 11 \, b^{3} e^{2} f h^{2}\right)} p^{2} q^{2} - 6 \, {\left(3 \, a b^{2} f^{3} g^{2} - 3 \, a b^{2} e f^{2} g h + a b^{2} e^{2} f h^{2}\right)} p q\right)} x\right)} \log\left(c\right) - 6 \, {\left(2 \, {\left(2 \, b^{3} f^{3} h^{2} p^{2} q^{3} - 6 \, a b^{2} f^{3} h^{2} p q^{2} + 9 \, a^{2} b f^{3} h^{2} q\right)} x^{3} + 3 \, {\left(18 \, a^{2} b f^{3} g h q + {\left(9 \, b^{3} f^{3} g h - 5 \, b^{3} e f^{2} h^{2}\right)} p^{2} q^{3} - 6 \, {\left(3 \, a b^{2} f^{3} g h - a b^{2} e f^{2} h^{2}\right)} p q^{2}\right)} x^{2} + 18 \, {\left(b^{3} f^{3} h^{2} q x^{3} + 3 \, b^{3} f^{3} g h q x^{2} + 3 \, b^{3} f^{3} g^{2} q x\right)} \log\left(c\right)^{2} + 6 \, {\left(9 \, a^{2} b f^{3} g^{2} q + {\left(18 \, b^{3} f^{3} g^{2} - 27 \, b^{3} e f^{2} g h + 11 \, b^{3} e^{2} f h^{2}\right)} p^{2} q^{3} - 6 \, {\left(3 \, a b^{2} f^{3} g^{2} - 3 \, a b^{2} e f^{2} g h + a b^{2} e^{2} f h^{2}\right)} p q^{2}\right)} x - 6 \, {\left(2 \, {\left(b^{3} f^{3} h^{2} p q^{2} - 3 \, a b^{2} f^{3} h^{2} q\right)} x^{3} - 3 \, {\left(6 \, a b^{2} f^{3} g h q - {\left(3 \, b^{3} f^{3} g h - b^{3} e f^{2} h^{2}\right)} p q^{2}\right)} x^{2} - 6 \, {\left(3 \, a b^{2} f^{3} g^{2} q - {\left(3 \, b^{3} f^{3} g^{2} - 3 \, b^{3} e f^{2} g h + b^{3} e^{2} f h^{2}\right)} p q^{2}\right)} x\right)} \log\left(c\right)\right)} \log\left(d\right)}{108 \, f^{3}}"," ",0,"-1/108*(4*(2*b^3*f^3*h^2*p^3*q^3 - 6*a*b^2*f^3*h^2*p^2*q^2 + 9*a^2*b*f^3*h^2*p*q - 9*a^3*f^3*h^2)*x^3 - 36*(b^3*f^3*h^2*p^3*q^3*x^3 + 3*b^3*f^3*g*h*p^3*q^3*x^2 + 3*b^3*f^3*g^2*p^3*q^3*x + (3*b^3*e*f^2*g^2 - 3*b^3*e^2*f*g*h + b^3*e^3*h^2)*p^3*q^3)*log(f*x + e)^3 - 36*(b^3*f^3*h^2*x^3 + 3*b^3*f^3*g*h*x^2 + 3*b^3*f^3*g^2*x)*log(c)^3 - 36*(b^3*f^3*h^2*q^3*x^3 + 3*b^3*f^3*g*h*q^3*x^2 + 3*b^3*f^3*g^2*q^3*x)*log(d)^3 - 3*(36*a^3*f^3*g*h - (27*b^3*f^3*g*h - 19*b^3*e*f^2*h^2)*p^3*q^3 + 6*(9*a*b^2*f^3*g*h - 5*a*b^2*e*f^2*h^2)*p^2*q^2 - 18*(3*a^2*b*f^3*g*h - a^2*b*e*f^2*h^2)*p*q)*x^2 + 18*((18*b^3*e*f^2*g^2 - 27*b^3*e^2*f*g*h + 11*b^3*e^3*h^2)*p^3*q^3 - 6*(3*a*b^2*e*f^2*g^2 - 3*a*b^2*e^2*f*g*h + a*b^2*e^3*h^2)*p^2*q^2 + 2*(b^3*f^3*h^2*p^3*q^3 - 3*a*b^2*f^3*h^2*p^2*q^2)*x^3 - 3*(6*a*b^2*f^3*g*h*p^2*q^2 - (3*b^3*f^3*g*h - b^3*e*f^2*h^2)*p^3*q^3)*x^2 - 6*(3*a*b^2*f^3*g^2*p^2*q^2 - (3*b^3*f^3*g^2 - 3*b^3*e*f^2*g*h + b^3*e^2*f*h^2)*p^3*q^3)*x - 6*(b^3*f^3*h^2*p^2*q^2*x^3 + 3*b^3*f^3*g*h*p^2*q^2*x^2 + 3*b^3*f^3*g^2*p^2*q^2*x + (3*b^3*e*f^2*g^2 - 3*b^3*e^2*f*g*h + b^3*e^3*h^2)*p^2*q^2)*log(c) - 6*(b^3*f^3*h^2*p^2*q^3*x^3 + 3*b^3*f^3*g*h*p^2*q^3*x^2 + 3*b^3*f^3*g^2*p^2*q^3*x + (3*b^3*e*f^2*g^2 - 3*b^3*e^2*f*g*h + b^3*e^3*h^2)*p^2*q^3)*log(d))*log(f*x + e)^2 + 18*(2*(b^3*f^3*h^2*p*q - 3*a*b^2*f^3*h^2)*x^3 - 3*(6*a*b^2*f^3*g*h - (3*b^3*f^3*g*h - b^3*e*f^2*h^2)*p*q)*x^2 - 6*(3*a*b^2*f^3*g^2 - (3*b^3*f^3*g^2 - 3*b^3*e*f^2*g*h + b^3*e^2*f*h^2)*p*q)*x)*log(c)^2 + 18*(2*(b^3*f^3*h^2*p*q^3 - 3*a*b^2*f^3*h^2*q^2)*x^3 - 3*(6*a*b^2*f^3*g*h*q^2 - (3*b^3*f^3*g*h - b^3*e*f^2*h^2)*p*q^3)*x^2 - 6*(3*a*b^2*f^3*g^2*q^2 - (3*b^3*f^3*g^2 - 3*b^3*e*f^2*g*h + b^3*e^2*f*h^2)*p*q^3)*x - 6*(b^3*f^3*h^2*q^2*x^3 + 3*b^3*f^3*g*h*q^2*x^2 + 3*b^3*f^3*g^2*q^2*x)*log(c))*log(d)^2 - 6*(18*a^3*f^3*g^2 - (108*b^3*f^3*g^2 - 189*b^3*e*f^2*g*h + 85*b^3*e^2*f*h^2)*p^3*q^3 + 6*(18*a*b^2*f^3*g^2 - 27*a*b^2*e*f^2*g*h + 11*a*b^2*e^2*f*h^2)*p^2*q^2 - 18*(3*a^2*b*f^3*g^2 - 3*a^2*b*e*f^2*g*h + a^2*b*e^2*f*h^2)*p*q)*x - 6*((108*b^3*e*f^2*g^2 - 189*b^3*e^2*f*g*h + 85*b^3*e^3*h^2)*p^3*q^3 - 6*(18*a*b^2*e*f^2*g^2 - 27*a*b^2*e^2*f*g*h + 11*a*b^2*e^3*h^2)*p^2*q^2 + 2*(2*b^3*f^3*h^2*p^3*q^3 - 6*a*b^2*f^3*h^2*p^2*q^2 + 9*a^2*b*f^3*h^2*p*q)*x^3 + 18*(3*a^2*b*e*f^2*g^2 - 3*a^2*b*e^2*f*g*h + a^2*b*e^3*h^2)*p*q + 3*(18*a^2*b*f^3*g*h*p*q + (9*b^3*f^3*g*h - 5*b^3*e*f^2*h^2)*p^3*q^3 - 6*(3*a*b^2*f^3*g*h - a*b^2*e*f^2*h^2)*p^2*q^2)*x^2 + 18*(b^3*f^3*h^2*p*q*x^3 + 3*b^3*f^3*g*h*p*q*x^2 + 3*b^3*f^3*g^2*p*q*x + (3*b^3*e*f^2*g^2 - 3*b^3*e^2*f*g*h + b^3*e^3*h^2)*p*q)*log(c)^2 + 18*(b^3*f^3*h^2*p*q^3*x^3 + 3*b^3*f^3*g*h*p*q^3*x^2 + 3*b^3*f^3*g^2*p*q^3*x + (3*b^3*e*f^2*g^2 - 3*b^3*e^2*f*g*h + b^3*e^3*h^2)*p*q^3)*log(d)^2 + 6*(9*a^2*b*f^3*g^2*p*q + (18*b^3*f^3*g^2 - 27*b^3*e*f^2*g*h + 11*b^3*e^2*f*h^2)*p^3*q^3 - 6*(3*a*b^2*f^3*g^2 - 3*a*b^2*e*f^2*g*h + a*b^2*e^2*f*h^2)*p^2*q^2)*x - 6*((18*b^3*e*f^2*g^2 - 27*b^3*e^2*f*g*h + 11*b^3*e^3*h^2)*p^2*q^2 + 2*(b^3*f^3*h^2*p^2*q^2 - 3*a*b^2*f^3*h^2*p*q)*x^3 - 6*(3*a*b^2*e*f^2*g^2 - 3*a*b^2*e^2*f*g*h + a*b^2*e^3*h^2)*p*q - 3*(6*a*b^2*f^3*g*h*p*q - (3*b^3*f^3*g*h - b^3*e*f^2*h^2)*p^2*q^2)*x^2 - 6*(3*a*b^2*f^3*g^2*p*q - (3*b^3*f^3*g^2 - 3*b^3*e*f^2*g*h + b^3*e^2*f*h^2)*p^2*q^2)*x)*log(c) - 6*((18*b^3*e*f^2*g^2 - 27*b^3*e^2*f*g*h + 11*b^3*e^3*h^2)*p^2*q^3 - 6*(3*a*b^2*e*f^2*g^2 - 3*a*b^2*e^2*f*g*h + a*b^2*e^3*h^2)*p*q^2 + 2*(b^3*f^3*h^2*p^2*q^3 - 3*a*b^2*f^3*h^2*p*q^2)*x^3 - 3*(6*a*b^2*f^3*g*h*p*q^2 - (3*b^3*f^3*g*h - b^3*e*f^2*h^2)*p^2*q^3)*x^2 - 6*(3*a*b^2*f^3*g^2*p*q^2 - (3*b^3*f^3*g^2 - 3*b^3*e*f^2*g*h + b^3*e^2*f*h^2)*p^2*q^3)*x - 6*(b^3*f^3*h^2*p*q^2*x^3 + 3*b^3*f^3*g*h*p*q^2*x^2 + 3*b^3*f^3*g^2*p*q^2*x + (3*b^3*e*f^2*g^2 - 3*b^3*e^2*f*g*h + b^3*e^3*h^2)*p*q^2)*log(c))*log(d))*log(f*x + e) - 6*(2*(2*b^3*f^3*h^2*p^2*q^2 - 6*a*b^2*f^3*h^2*p*q + 9*a^2*b*f^3*h^2)*x^3 + 3*(18*a^2*b*f^3*g*h + (9*b^3*f^3*g*h - 5*b^3*e*f^2*h^2)*p^2*q^2 - 6*(3*a*b^2*f^3*g*h - a*b^2*e*f^2*h^2)*p*q)*x^2 + 6*(9*a^2*b*f^3*g^2 + (18*b^3*f^3*g^2 - 27*b^3*e*f^2*g*h + 11*b^3*e^2*f*h^2)*p^2*q^2 - 6*(3*a*b^2*f^3*g^2 - 3*a*b^2*e*f^2*g*h + a*b^2*e^2*f*h^2)*p*q)*x)*log(c) - 6*(2*(2*b^3*f^3*h^2*p^2*q^3 - 6*a*b^2*f^3*h^2*p*q^2 + 9*a^2*b*f^3*h^2*q)*x^3 + 3*(18*a^2*b*f^3*g*h*q + (9*b^3*f^3*g*h - 5*b^3*e*f^2*h^2)*p^2*q^3 - 6*(3*a*b^2*f^3*g*h - a*b^2*e*f^2*h^2)*p*q^2)*x^2 + 18*(b^3*f^3*h^2*q*x^3 + 3*b^3*f^3*g*h*q*x^2 + 3*b^3*f^3*g^2*q*x)*log(c)^2 + 6*(9*a^2*b*f^3*g^2*q + (18*b^3*f^3*g^2 - 27*b^3*e*f^2*g*h + 11*b^3*e^2*f*h^2)*p^2*q^3 - 6*(3*a*b^2*f^3*g^2 - 3*a*b^2*e*f^2*g*h + a*b^2*e^2*f*h^2)*p*q^2)*x - 6*(2*(b^3*f^3*h^2*p*q^2 - 3*a*b^2*f^3*h^2*q)*x^3 - 3*(6*a*b^2*f^3*g*h*q - (3*b^3*f^3*g*h - b^3*e*f^2*h^2)*p*q^2)*x^2 - 6*(3*a*b^2*f^3*g^2*q - (3*b^3*f^3*g^2 - 3*b^3*e*f^2*g*h + b^3*e^2*f*h^2)*p*q^2)*x)*log(c))*log(d))/f^3","B",0
436,1,1692,0,1.036980," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""fricas"")","\frac{4 \, {\left(b^{3} f^{2} h p^{3} q^{3} x^{2} + 2 \, b^{3} f^{2} g p^{3} q^{3} x + {\left(2 \, b^{3} e f g - b^{3} e^{2} h\right)} p^{3} q^{3}\right)} \log\left(f x + e\right)^{3} + 4 \, {\left(b^{3} f^{2} h x^{2} + 2 \, b^{3} f^{2} g x\right)} \log\left(c\right)^{3} + 4 \, {\left(b^{3} f^{2} h q^{3} x^{2} + 2 \, b^{3} f^{2} g q^{3} x\right)} \log\left(d\right)^{3} - {\left(3 \, b^{3} f^{2} h p^{3} q^{3} - 6 \, a b^{2} f^{2} h p^{2} q^{2} + 6 \, a^{2} b f^{2} h p q - 4 \, a^{3} f^{2} h\right)} x^{2} - 6 \, {\left({\left(4 \, b^{3} e f g - 3 \, b^{3} e^{2} h\right)} p^{3} q^{3} - 2 \, {\left(2 \, a b^{2} e f g - a b^{2} e^{2} h\right)} p^{2} q^{2} + {\left(b^{3} f^{2} h p^{3} q^{3} - 2 \, a b^{2} f^{2} h p^{2} q^{2}\right)} x^{2} - 2 \, {\left(2 \, a b^{2} f^{2} g p^{2} q^{2} - {\left(2 \, b^{3} f^{2} g - b^{3} e f h\right)} p^{3} q^{3}\right)} x - 2 \, {\left(b^{3} f^{2} h p^{2} q^{2} x^{2} + 2 \, b^{3} f^{2} g p^{2} q^{2} x + {\left(2 \, b^{3} e f g - b^{3} e^{2} h\right)} p^{2} q^{2}\right)} \log\left(c\right) - 2 \, {\left(b^{3} f^{2} h p^{2} q^{3} x^{2} + 2 \, b^{3} f^{2} g p^{2} q^{3} x + {\left(2 \, b^{3} e f g - b^{3} e^{2} h\right)} p^{2} q^{3}\right)} \log\left(d\right)\right)} \log\left(f x + e\right)^{2} - 6 \, {\left({\left(b^{3} f^{2} h p q - 2 \, a b^{2} f^{2} h\right)} x^{2} - 2 \, {\left(2 \, a b^{2} f^{2} g - {\left(2 \, b^{3} f^{2} g - b^{3} e f h\right)} p q\right)} x\right)} \log\left(c\right)^{2} - 6 \, {\left({\left(b^{3} f^{2} h p q^{3} - 2 \, a b^{2} f^{2} h q^{2}\right)} x^{2} - 2 \, {\left(2 \, a b^{2} f^{2} g q^{2} - {\left(2 \, b^{3} f^{2} g - b^{3} e f h\right)} p q^{3}\right)} x - 2 \, {\left(b^{3} f^{2} h q^{2} x^{2} + 2 \, b^{3} f^{2} g q^{2} x\right)} \log\left(c\right)\right)} \log\left(d\right)^{2} - 2 \, {\left(3 \, {\left(8 \, b^{3} f^{2} g - 7 \, b^{3} e f h\right)} p^{3} q^{3} - 4 \, a^{3} f^{2} g - 6 \, {\left(4 \, a b^{2} f^{2} g - 3 \, a b^{2} e f h\right)} p^{2} q^{2} + 6 \, {\left(2 \, a^{2} b f^{2} g - a^{2} b e f h\right)} p q\right)} x + 6 \, {\left({\left(8 \, b^{3} e f g - 7 \, b^{3} e^{2} h\right)} p^{3} q^{3} - 2 \, {\left(4 \, a b^{2} e f g - 3 \, a b^{2} e^{2} h\right)} p^{2} q^{2} + 2 \, {\left(2 \, a^{2} b e f g - a^{2} b e^{2} h\right)} p q + {\left(b^{3} f^{2} h p^{3} q^{3} - 2 \, a b^{2} f^{2} h p^{2} q^{2} + 2 \, a^{2} b f^{2} h p q\right)} x^{2} + 2 \, {\left(b^{3} f^{2} h p q x^{2} + 2 \, b^{3} f^{2} g p q x + {\left(2 \, b^{3} e f g - b^{3} e^{2} h\right)} p q\right)} \log\left(c\right)^{2} + 2 \, {\left(b^{3} f^{2} h p q^{3} x^{2} + 2 \, b^{3} f^{2} g p q^{3} x + {\left(2 \, b^{3} e f g - b^{3} e^{2} h\right)} p q^{3}\right)} \log\left(d\right)^{2} + 2 \, {\left(2 \, a^{2} b f^{2} g p q + {\left(4 \, b^{3} f^{2} g - 3 \, b^{3} e f h\right)} p^{3} q^{3} - 2 \, {\left(2 \, a b^{2} f^{2} g - a b^{2} e f h\right)} p^{2} q^{2}\right)} x - 2 \, {\left({\left(4 \, b^{3} e f g - 3 \, b^{3} e^{2} h\right)} p^{2} q^{2} - 2 \, {\left(2 \, a b^{2} e f g - a b^{2} e^{2} h\right)} p q + {\left(b^{3} f^{2} h p^{2} q^{2} - 2 \, a b^{2} f^{2} h p q\right)} x^{2} - 2 \, {\left(2 \, a b^{2} f^{2} g p q - {\left(2 \, b^{3} f^{2} g - b^{3} e f h\right)} p^{2} q^{2}\right)} x\right)} \log\left(c\right) - 2 \, {\left({\left(4 \, b^{3} e f g - 3 \, b^{3} e^{2} h\right)} p^{2} q^{3} - 2 \, {\left(2 \, a b^{2} e f g - a b^{2} e^{2} h\right)} p q^{2} + {\left(b^{3} f^{2} h p^{2} q^{3} - 2 \, a b^{2} f^{2} h p q^{2}\right)} x^{2} - 2 \, {\left(2 \, a b^{2} f^{2} g p q^{2} - {\left(2 \, b^{3} f^{2} g - b^{3} e f h\right)} p^{2} q^{3}\right)} x - 2 \, {\left(b^{3} f^{2} h p q^{2} x^{2} + 2 \, b^{3} f^{2} g p q^{2} x + {\left(2 \, b^{3} e f g - b^{3} e^{2} h\right)} p q^{2}\right)} \log\left(c\right)\right)} \log\left(d\right)\right)} \log\left(f x + e\right) + 6 \, {\left({\left(b^{3} f^{2} h p^{2} q^{2} - 2 \, a b^{2} f^{2} h p q + 2 \, a^{2} b f^{2} h\right)} x^{2} + 2 \, {\left(2 \, a^{2} b f^{2} g + {\left(4 \, b^{3} f^{2} g - 3 \, b^{3} e f h\right)} p^{2} q^{2} - 2 \, {\left(2 \, a b^{2} f^{2} g - a b^{2} e f h\right)} p q\right)} x\right)} \log\left(c\right) + 6 \, {\left({\left(b^{3} f^{2} h p^{2} q^{3} - 2 \, a b^{2} f^{2} h p q^{2} + 2 \, a^{2} b f^{2} h q\right)} x^{2} + 2 \, {\left(b^{3} f^{2} h q x^{2} + 2 \, b^{3} f^{2} g q x\right)} \log\left(c\right)^{2} + 2 \, {\left(2 \, a^{2} b f^{2} g q + {\left(4 \, b^{3} f^{2} g - 3 \, b^{3} e f h\right)} p^{2} q^{3} - 2 \, {\left(2 \, a b^{2} f^{2} g - a b^{2} e f h\right)} p q^{2}\right)} x - 2 \, {\left({\left(b^{3} f^{2} h p q^{2} - 2 \, a b^{2} f^{2} h q\right)} x^{2} - 2 \, {\left(2 \, a b^{2} f^{2} g q - {\left(2 \, b^{3} f^{2} g - b^{3} e f h\right)} p q^{2}\right)} x\right)} \log\left(c\right)\right)} \log\left(d\right)}{8 \, f^{2}}"," ",0,"1/8*(4*(b^3*f^2*h*p^3*q^3*x^2 + 2*b^3*f^2*g*p^3*q^3*x + (2*b^3*e*f*g - b^3*e^2*h)*p^3*q^3)*log(f*x + e)^3 + 4*(b^3*f^2*h*x^2 + 2*b^3*f^2*g*x)*log(c)^3 + 4*(b^3*f^2*h*q^3*x^2 + 2*b^3*f^2*g*q^3*x)*log(d)^3 - (3*b^3*f^2*h*p^3*q^3 - 6*a*b^2*f^2*h*p^2*q^2 + 6*a^2*b*f^2*h*p*q - 4*a^3*f^2*h)*x^2 - 6*((4*b^3*e*f*g - 3*b^3*e^2*h)*p^3*q^3 - 2*(2*a*b^2*e*f*g - a*b^2*e^2*h)*p^2*q^2 + (b^3*f^2*h*p^3*q^3 - 2*a*b^2*f^2*h*p^2*q^2)*x^2 - 2*(2*a*b^2*f^2*g*p^2*q^2 - (2*b^3*f^2*g - b^3*e*f*h)*p^3*q^3)*x - 2*(b^3*f^2*h*p^2*q^2*x^2 + 2*b^3*f^2*g*p^2*q^2*x + (2*b^3*e*f*g - b^3*e^2*h)*p^2*q^2)*log(c) - 2*(b^3*f^2*h*p^2*q^3*x^2 + 2*b^3*f^2*g*p^2*q^3*x + (2*b^3*e*f*g - b^3*e^2*h)*p^2*q^3)*log(d))*log(f*x + e)^2 - 6*((b^3*f^2*h*p*q - 2*a*b^2*f^2*h)*x^2 - 2*(2*a*b^2*f^2*g - (2*b^3*f^2*g - b^3*e*f*h)*p*q)*x)*log(c)^2 - 6*((b^3*f^2*h*p*q^3 - 2*a*b^2*f^2*h*q^2)*x^2 - 2*(2*a*b^2*f^2*g*q^2 - (2*b^3*f^2*g - b^3*e*f*h)*p*q^3)*x - 2*(b^3*f^2*h*q^2*x^2 + 2*b^3*f^2*g*q^2*x)*log(c))*log(d)^2 - 2*(3*(8*b^3*f^2*g - 7*b^3*e*f*h)*p^3*q^3 - 4*a^3*f^2*g - 6*(4*a*b^2*f^2*g - 3*a*b^2*e*f*h)*p^2*q^2 + 6*(2*a^2*b*f^2*g - a^2*b*e*f*h)*p*q)*x + 6*((8*b^3*e*f*g - 7*b^3*e^2*h)*p^3*q^3 - 2*(4*a*b^2*e*f*g - 3*a*b^2*e^2*h)*p^2*q^2 + 2*(2*a^2*b*e*f*g - a^2*b*e^2*h)*p*q + (b^3*f^2*h*p^3*q^3 - 2*a*b^2*f^2*h*p^2*q^2 + 2*a^2*b*f^2*h*p*q)*x^2 + 2*(b^3*f^2*h*p*q*x^2 + 2*b^3*f^2*g*p*q*x + (2*b^3*e*f*g - b^3*e^2*h)*p*q)*log(c)^2 + 2*(b^3*f^2*h*p*q^3*x^2 + 2*b^3*f^2*g*p*q^3*x + (2*b^3*e*f*g - b^3*e^2*h)*p*q^3)*log(d)^2 + 2*(2*a^2*b*f^2*g*p*q + (4*b^3*f^2*g - 3*b^3*e*f*h)*p^3*q^3 - 2*(2*a*b^2*f^2*g - a*b^2*e*f*h)*p^2*q^2)*x - 2*((4*b^3*e*f*g - 3*b^3*e^2*h)*p^2*q^2 - 2*(2*a*b^2*e*f*g - a*b^2*e^2*h)*p*q + (b^3*f^2*h*p^2*q^2 - 2*a*b^2*f^2*h*p*q)*x^2 - 2*(2*a*b^2*f^2*g*p*q - (2*b^3*f^2*g - b^3*e*f*h)*p^2*q^2)*x)*log(c) - 2*((4*b^3*e*f*g - 3*b^3*e^2*h)*p^2*q^3 - 2*(2*a*b^2*e*f*g - a*b^2*e^2*h)*p*q^2 + (b^3*f^2*h*p^2*q^3 - 2*a*b^2*f^2*h*p*q^2)*x^2 - 2*(2*a*b^2*f^2*g*p*q^2 - (2*b^3*f^2*g - b^3*e*f*h)*p^2*q^3)*x - 2*(b^3*f^2*h*p*q^2*x^2 + 2*b^3*f^2*g*p*q^2*x + (2*b^3*e*f*g - b^3*e^2*h)*p*q^2)*log(c))*log(d))*log(f*x + e) + 6*((b^3*f^2*h*p^2*q^2 - 2*a*b^2*f^2*h*p*q + 2*a^2*b*f^2*h)*x^2 + 2*(2*a^2*b*f^2*g + (4*b^3*f^2*g - 3*b^3*e*f*h)*p^2*q^2 - 2*(2*a*b^2*f^2*g - a*b^2*e*f*h)*p*q)*x)*log(c) + 6*((b^3*f^2*h*p^2*q^3 - 2*a*b^2*f^2*h*p*q^2 + 2*a^2*b*f^2*h*q)*x^2 + 2*(b^3*f^2*h*q*x^2 + 2*b^3*f^2*g*q*x)*log(c)^2 + 2*(2*a^2*b*f^2*g*q + (4*b^3*f^2*g - 3*b^3*e*f*h)*p^2*q^3 - 2*(2*a*b^2*f^2*g - a*b^2*e*f*h)*p*q^2)*x - 2*((b^3*f^2*h*p*q^2 - 2*a*b^2*f^2*h*q)*x^2 - 2*(2*a*b^2*f^2*g*q - (2*b^3*f^2*g - b^3*e*f*h)*p*q^2)*x)*log(c))*log(d))/f^2","B",0
437,1,639,0,0.956429," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""fricas"")","\frac{b^{3} f q^{3} x \log\left(d\right)^{3} + b^{3} f x \log\left(c\right)^{3} + {\left(b^{3} f p^{3} q^{3} x + b^{3} e p^{3} q^{3}\right)} \log\left(f x + e\right)^{3} - 3 \, {\left(b^{3} f p q - a b^{2} f\right)} x \log\left(c\right)^{2} - 3 \, {\left(b^{3} e p^{3} q^{3} - a b^{2} e p^{2} q^{2} + {\left(b^{3} f p^{3} q^{3} - a b^{2} f p^{2} q^{2}\right)} x - {\left(b^{3} f p^{2} q^{2} x + b^{3} e p^{2} q^{2}\right)} \log\left(c\right) - {\left(b^{3} f p^{2} q^{3} x + b^{3} e p^{2} q^{3}\right)} \log\left(d\right)\right)} \log\left(f x + e\right)^{2} + 3 \, {\left(2 \, b^{3} f p^{2} q^{2} - 2 \, a b^{2} f p q + a^{2} b f\right)} x \log\left(c\right) + 3 \, {\left(b^{3} f q^{2} x \log\left(c\right) - {\left(b^{3} f p q^{3} - a b^{2} f q^{2}\right)} x\right)} \log\left(d\right)^{2} - {\left(6 \, b^{3} f p^{3} q^{3} - 6 \, a b^{2} f p^{2} q^{2} + 3 \, a^{2} b f p q - a^{3} f\right)} x + 3 \, {\left(2 \, b^{3} e p^{3} q^{3} - 2 \, a b^{2} e p^{2} q^{2} + a^{2} b e p q + {\left(b^{3} f p q x + b^{3} e p q\right)} \log\left(c\right)^{2} + {\left(b^{3} f p q^{3} x + b^{3} e p q^{3}\right)} \log\left(d\right)^{2} + {\left(2 \, b^{3} f p^{3} q^{3} - 2 \, a b^{2} f p^{2} q^{2} + a^{2} b f p q\right)} x - 2 \, {\left(b^{3} e p^{2} q^{2} - a b^{2} e p q + {\left(b^{3} f p^{2} q^{2} - a b^{2} f p q\right)} x\right)} \log\left(c\right) - 2 \, {\left(b^{3} e p^{2} q^{3} - a b^{2} e p q^{2} + {\left(b^{3} f p^{2} q^{3} - a b^{2} f p q^{2}\right)} x - {\left(b^{3} f p q^{2} x + b^{3} e p q^{2}\right)} \log\left(c\right)\right)} \log\left(d\right)\right)} \log\left(f x + e\right) + 3 \, {\left(b^{3} f q x \log\left(c\right)^{2} - 2 \, {\left(b^{3} f p q^{2} - a b^{2} f q\right)} x \log\left(c\right) + {\left(2 \, b^{3} f p^{2} q^{3} - 2 \, a b^{2} f p q^{2} + a^{2} b f q\right)} x\right)} \log\left(d\right)}{f}"," ",0,"(b^3*f*q^3*x*log(d)^3 + b^3*f*x*log(c)^3 + (b^3*f*p^3*q^3*x + b^3*e*p^3*q^3)*log(f*x + e)^3 - 3*(b^3*f*p*q - a*b^2*f)*x*log(c)^2 - 3*(b^3*e*p^3*q^3 - a*b^2*e*p^2*q^2 + (b^3*f*p^3*q^3 - a*b^2*f*p^2*q^2)*x - (b^3*f*p^2*q^2*x + b^3*e*p^2*q^2)*log(c) - (b^3*f*p^2*q^3*x + b^3*e*p^2*q^3)*log(d))*log(f*x + e)^2 + 3*(2*b^3*f*p^2*q^2 - 2*a*b^2*f*p*q + a^2*b*f)*x*log(c) + 3*(b^3*f*q^2*x*log(c) - (b^3*f*p*q^3 - a*b^2*f*q^2)*x)*log(d)^2 - (6*b^3*f*p^3*q^3 - 6*a*b^2*f*p^2*q^2 + 3*a^2*b*f*p*q - a^3*f)*x + 3*(2*b^3*e*p^3*q^3 - 2*a*b^2*e*p^2*q^2 + a^2*b*e*p*q + (b^3*f*p*q*x + b^3*e*p*q)*log(c)^2 + (b^3*f*p*q^3*x + b^3*e*p*q^3)*log(d)^2 + (2*b^3*f*p^3*q^3 - 2*a*b^2*f*p^2*q^2 + a^2*b*f*p*q)*x - 2*(b^3*e*p^2*q^2 - a*b^2*e*p*q + (b^3*f*p^2*q^2 - a*b^2*f*p*q)*x)*log(c) - 2*(b^3*e*p^2*q^3 - a*b^2*e*p*q^2 + (b^3*f*p^2*q^3 - a*b^2*f*p*q^2)*x - (b^3*f*p*q^2*x + b^3*e*p*q^2)*log(c))*log(d))*log(f*x + e) + 3*(b^3*f*q*x*log(c)^2 - 2*(b^3*f*p*q^2 - a*b^2*f*q)*x*log(c) + (2*b^3*f*p^2*q^3 - 2*a*b^2*f*p*q^2 + a^2*b*f*q)*x)*log(d))/f","B",0
438,0,0,0,0.777071," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + 3 \, a b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 3 \, a^{2} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{3}}{h x + g}, x\right)"," ",0,"integral((b^3*log(((f*x + e)^p*d)^q*c)^3 + 3*a*b^2*log(((f*x + e)^p*d)^q*c)^2 + 3*a^2*b*log(((f*x + e)^p*d)^q*c) + a^3)/(h*x + g), x)","F",0
439,0,0,0,0.778560," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + 3 \, a b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 3 \, a^{2} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{3}}{h^{2} x^{2} + 2 \, g h x + g^{2}}, x\right)"," ",0,"integral((b^3*log(((f*x + e)^p*d)^q*c)^3 + 3*a*b^2*log(((f*x + e)^p*d)^q*c)^2 + 3*a^2*b*log(((f*x + e)^p*d)^q*c) + a^3)/(h^2*x^2 + 2*g*h*x + g^2), x)","F",0
440,0,0,0,0.924189," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + 3 \, a b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 3 \, a^{2} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{3}}{h^{3} x^{3} + 3 \, g h^{2} x^{2} + 3 \, g^{2} h x + g^{3}}, x\right)"," ",0,"integral((b^3*log(((f*x + e)^p*d)^q*c)^3 + 3*a*b^2*log(((f*x + e)^p*d)^q*c)^2 + 3*a^2*b*log(((f*x + e)^p*d)^q*c) + a^3)/(h^3*x^3 + 3*g*h^2*x^2 + 3*g^2*h*x + g^3), x)","F",0
441,1,1409,0,0.864547," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^4,x, algorithm=""fricas"")","\frac{b^{4} f q^{4} x \log\left(d\right)^{4} + b^{4} f x \log\left(c\right)^{4} + {\left(b^{4} f p^{4} q^{4} x + b^{4} e p^{4} q^{4}\right)} \log\left(f x + e\right)^{4} - 4 \, {\left(b^{4} f p q - a b^{3} f\right)} x \log\left(c\right)^{3} - 4 \, {\left(b^{4} e p^{4} q^{4} - a b^{3} e p^{3} q^{3} + {\left(b^{4} f p^{4} q^{4} - a b^{3} f p^{3} q^{3}\right)} x - {\left(b^{4} f p^{3} q^{3} x + b^{4} e p^{3} q^{3}\right)} \log\left(c\right) - {\left(b^{4} f p^{3} q^{4} x + b^{4} e p^{3} q^{4}\right)} \log\left(d\right)\right)} \log\left(f x + e\right)^{3} + 6 \, {\left(2 \, b^{4} f p^{2} q^{2} - 2 \, a b^{3} f p q + a^{2} b^{2} f\right)} x \log\left(c\right)^{2} + 4 \, {\left(b^{4} f q^{3} x \log\left(c\right) - {\left(b^{4} f p q^{4} - a b^{3} f q^{3}\right)} x\right)} \log\left(d\right)^{3} + 6 \, {\left(2 \, b^{4} e p^{4} q^{4} - 2 \, a b^{3} e p^{3} q^{3} + a^{2} b^{2} e p^{2} q^{2} + {\left(b^{4} f p^{2} q^{2} x + b^{4} e p^{2} q^{2}\right)} \log\left(c\right)^{2} + {\left(b^{4} f p^{2} q^{4} x + b^{4} e p^{2} q^{4}\right)} \log\left(d\right)^{2} + {\left(2 \, b^{4} f p^{4} q^{4} - 2 \, a b^{3} f p^{3} q^{3} + a^{2} b^{2} f p^{2} q^{2}\right)} x - 2 \, {\left(b^{4} e p^{3} q^{3} - a b^{3} e p^{2} q^{2} + {\left(b^{4} f p^{3} q^{3} - a b^{3} f p^{2} q^{2}\right)} x\right)} \log\left(c\right) - 2 \, {\left(b^{4} e p^{3} q^{4} - a b^{3} e p^{2} q^{3} + {\left(b^{4} f p^{3} q^{4} - a b^{3} f p^{2} q^{3}\right)} x - {\left(b^{4} f p^{2} q^{3} x + b^{4} e p^{2} q^{3}\right)} \log\left(c\right)\right)} \log\left(d\right)\right)} \log\left(f x + e\right)^{2} - 4 \, {\left(6 \, b^{4} f p^{3} q^{3} - 6 \, a b^{3} f p^{2} q^{2} + 3 \, a^{2} b^{2} f p q - a^{3} b f\right)} x \log\left(c\right) + 6 \, {\left(b^{4} f q^{2} x \log\left(c\right)^{2} - 2 \, {\left(b^{4} f p q^{3} - a b^{3} f q^{2}\right)} x \log\left(c\right) + {\left(2 \, b^{4} f p^{2} q^{4} - 2 \, a b^{3} f p q^{3} + a^{2} b^{2} f q^{2}\right)} x\right)} \log\left(d\right)^{2} + {\left(24 \, b^{4} f p^{4} q^{4} - 24 \, a b^{3} f p^{3} q^{3} + 12 \, a^{2} b^{2} f p^{2} q^{2} - 4 \, a^{3} b f p q + a^{4} f\right)} x - 4 \, {\left(6 \, b^{4} e p^{4} q^{4} - 6 \, a b^{3} e p^{3} q^{3} + 3 \, a^{2} b^{2} e p^{2} q^{2} - a^{3} b e p q - {\left(b^{4} f p q x + b^{4} e p q\right)} \log\left(c\right)^{3} - {\left(b^{4} f p q^{4} x + b^{4} e p q^{4}\right)} \log\left(d\right)^{3} + 3 \, {\left(b^{4} e p^{2} q^{2} - a b^{3} e p q + {\left(b^{4} f p^{2} q^{2} - a b^{3} f p q\right)} x\right)} \log\left(c\right)^{2} + 3 \, {\left(b^{4} e p^{2} q^{4} - a b^{3} e p q^{3} + {\left(b^{4} f p^{2} q^{4} - a b^{3} f p q^{3}\right)} x - {\left(b^{4} f p q^{3} x + b^{4} e p q^{3}\right)} \log\left(c\right)\right)} \log\left(d\right)^{2} + {\left(6 \, b^{4} f p^{4} q^{4} - 6 \, a b^{3} f p^{3} q^{3} + 3 \, a^{2} b^{2} f p^{2} q^{2} - a^{3} b f p q\right)} x - 3 \, {\left(2 \, b^{4} e p^{3} q^{3} - 2 \, a b^{3} e p^{2} q^{2} + a^{2} b^{2} e p q + {\left(2 \, b^{4} f p^{3} q^{3} - 2 \, a b^{3} f p^{2} q^{2} + a^{2} b^{2} f p q\right)} x\right)} \log\left(c\right) - 3 \, {\left(2 \, b^{4} e p^{3} q^{4} - 2 \, a b^{3} e p^{2} q^{3} + a^{2} b^{2} e p q^{2} + {\left(b^{4} f p q^{2} x + b^{4} e p q^{2}\right)} \log\left(c\right)^{2} + {\left(2 \, b^{4} f p^{3} q^{4} - 2 \, a b^{3} f p^{2} q^{3} + a^{2} b^{2} f p q^{2}\right)} x - 2 \, {\left(b^{4} e p^{2} q^{3} - a b^{3} e p q^{2} + {\left(b^{4} f p^{2} q^{3} - a b^{3} f p q^{2}\right)} x\right)} \log\left(c\right)\right)} \log\left(d\right)\right)} \log\left(f x + e\right) + 4 \, {\left(b^{4} f q x \log\left(c\right)^{3} - 3 \, {\left(b^{4} f p q^{2} - a b^{3} f q\right)} x \log\left(c\right)^{2} + 3 \, {\left(2 \, b^{4} f p^{2} q^{3} - 2 \, a b^{3} f p q^{2} + a^{2} b^{2} f q\right)} x \log\left(c\right) - {\left(6 \, b^{4} f p^{3} q^{4} - 6 \, a b^{3} f p^{2} q^{3} + 3 \, a^{2} b^{2} f p q^{2} - a^{3} b f q\right)} x\right)} \log\left(d\right)}{f}"," ",0,"(b^4*f*q^4*x*log(d)^4 + b^4*f*x*log(c)^4 + (b^4*f*p^4*q^4*x + b^4*e*p^4*q^4)*log(f*x + e)^4 - 4*(b^4*f*p*q - a*b^3*f)*x*log(c)^3 - 4*(b^4*e*p^4*q^4 - a*b^3*e*p^3*q^3 + (b^4*f*p^4*q^4 - a*b^3*f*p^3*q^3)*x - (b^4*f*p^3*q^3*x + b^4*e*p^3*q^3)*log(c) - (b^4*f*p^3*q^4*x + b^4*e*p^3*q^4)*log(d))*log(f*x + e)^3 + 6*(2*b^4*f*p^2*q^2 - 2*a*b^3*f*p*q + a^2*b^2*f)*x*log(c)^2 + 4*(b^4*f*q^3*x*log(c) - (b^4*f*p*q^4 - a*b^3*f*q^3)*x)*log(d)^3 + 6*(2*b^4*e*p^4*q^4 - 2*a*b^3*e*p^3*q^3 + a^2*b^2*e*p^2*q^2 + (b^4*f*p^2*q^2*x + b^4*e*p^2*q^2)*log(c)^2 + (b^4*f*p^2*q^4*x + b^4*e*p^2*q^4)*log(d)^2 + (2*b^4*f*p^4*q^4 - 2*a*b^3*f*p^3*q^3 + a^2*b^2*f*p^2*q^2)*x - 2*(b^4*e*p^3*q^3 - a*b^3*e*p^2*q^2 + (b^4*f*p^3*q^3 - a*b^3*f*p^2*q^2)*x)*log(c) - 2*(b^4*e*p^3*q^4 - a*b^3*e*p^2*q^3 + (b^4*f*p^3*q^4 - a*b^3*f*p^2*q^3)*x - (b^4*f*p^2*q^3*x + b^4*e*p^2*q^3)*log(c))*log(d))*log(f*x + e)^2 - 4*(6*b^4*f*p^3*q^3 - 6*a*b^3*f*p^2*q^2 + 3*a^2*b^2*f*p*q - a^3*b*f)*x*log(c) + 6*(b^4*f*q^2*x*log(c)^2 - 2*(b^4*f*p*q^3 - a*b^3*f*q^2)*x*log(c) + (2*b^4*f*p^2*q^4 - 2*a*b^3*f*p*q^3 + a^2*b^2*f*q^2)*x)*log(d)^2 + (24*b^4*f*p^4*q^4 - 24*a*b^3*f*p^3*q^3 + 12*a^2*b^2*f*p^2*q^2 - 4*a^3*b*f*p*q + a^4*f)*x - 4*(6*b^4*e*p^4*q^4 - 6*a*b^3*e*p^3*q^3 + 3*a^2*b^2*e*p^2*q^2 - a^3*b*e*p*q - (b^4*f*p*q*x + b^4*e*p*q)*log(c)^3 - (b^4*f*p*q^4*x + b^4*e*p*q^4)*log(d)^3 + 3*(b^4*e*p^2*q^2 - a*b^3*e*p*q + (b^4*f*p^2*q^2 - a*b^3*f*p*q)*x)*log(c)^2 + 3*(b^4*e*p^2*q^4 - a*b^3*e*p*q^3 + (b^4*f*p^2*q^4 - a*b^3*f*p*q^3)*x - (b^4*f*p*q^3*x + b^4*e*p*q^3)*log(c))*log(d)^2 + (6*b^4*f*p^4*q^4 - 6*a*b^3*f*p^3*q^3 + 3*a^2*b^2*f*p^2*q^2 - a^3*b*f*p*q)*x - 3*(2*b^4*e*p^3*q^3 - 2*a*b^3*e*p^2*q^2 + a^2*b^2*e*p*q + (2*b^4*f*p^3*q^3 - 2*a*b^3*f*p^2*q^2 + a^2*b^2*f*p*q)*x)*log(c) - 3*(2*b^4*e*p^3*q^4 - 2*a*b^3*e*p^2*q^3 + a^2*b^2*e*p*q^2 + (b^4*f*p*q^2*x + b^4*e*p*q^2)*log(c)^2 + (2*b^4*f*p^3*q^4 - 2*a*b^3*f*p^2*q^3 + a^2*b^2*f*p*q^2)*x - 2*(b^4*e*p^2*q^3 - a*b^3*e*p*q^2 + (b^4*f*p^2*q^3 - a*b^3*f*p*q^2)*x)*log(c))*log(d))*log(f*x + e) + 4*(b^4*f*q*x*log(c)^3 - 3*(b^4*f*p*q^2 - a*b^3*f*q)*x*log(c)^2 + 3*(2*b^4*f*p^2*q^3 - 2*a*b^3*f*p*q^2 + a^2*b^2*f*q)*x*log(c) - (6*b^4*f*p^3*q^4 - 6*a*b^3*f*p^2*q^3 + 3*a^2*b^2*f*p*q^2 - a^3*b*f*q)*x)*log(d))/f","B",0
442,0,0,0,0.941864," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^4/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{4} + 4 \, a b^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + 6 \, a^{2} b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 4 \, a^{3} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{4}}{h x + g}, x\right)"," ",0,"integral((b^4*log(((f*x + e)^p*d)^q*c)^4 + 4*a*b^3*log(((f*x + e)^p*d)^q*c)^3 + 6*a^2*b^2*log(((f*x + e)^p*d)^q*c)^2 + 4*a^3*b*log(((f*x + e)^p*d)^q*c) + a^4)/(h*x + g), x)","F",0
443,0,0,0,1.179293," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^4/(h*x+g)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{4} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{4} + 4 \, a b^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + 6 \, a^{2} b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 4 \, a^{3} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{4}}{h^{2} x^{2} + 2 \, g h x + g^{2}}, x\right)"," ",0,"integral((b^4*log(((f*x + e)^p*d)^q*c)^4 + 4*a*b^3*log(((f*x + e)^p*d)^q*c)^3 + 6*a^2*b^2*log(((f*x + e)^p*d)^q*c)^2 + 4*a^3*b*log(((f*x + e)^p*d)^q*c) + a^4)/(h^2*x^2 + 2*g*h*x + g^2), x)","F",0
444,1,42,0,0.643818," ","integrate(log(c*(d*(f*x+e)^p)^q),x, algorithm=""fricas"")","-\frac{f p q x - f q x \log\left(d\right) - f x \log\left(c\right) - {\left(f p q x + e p q\right)} \log\left(f x + e\right)}{f}"," ",0,"-(f*p*q*x - f*q*x*log(d) - f*x*log(c) - (f*p*q*x + e*p*q)*log(f*x + e))/f","A",0
445,1,243,0,0.974422," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","\frac{{\left(h^{2} \operatorname{log\_integral}\left({\left(f^{3} x^{3} + 3 \, e f^{2} x^{2} + 3 \, e^{2} f x + e^{3}\right)} e^{\left(\frac{3 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)}\right) + 2 \, {\left(f g h - e h^{2}\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)} \operatorname{log\_integral}\left({\left(f^{2} x^{2} + 2 \, e f x + e^{2}\right)} e^{\left(\frac{2 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)}\right) + {\left(f^{2} g^{2} - 2 \, e f g h + e^{2} h^{2}\right)} e^{\left(\frac{2 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)} \operatorname{log\_integral}\left({\left(f x + e\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)}\right)\right)} e^{\left(-\frac{3 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)}}{b f^{3} p q}"," ",0,"(h^2*log_integral((f^3*x^3 + 3*e*f^2*x^2 + 3*e^2*f*x + e^3)*e^(3*(b*q*log(d) + b*log(c) + a)/(b*p*q))) + 2*(f*g*h - e*h^2)*e^((b*q*log(d) + b*log(c) + a)/(b*p*q))*log_integral((f^2*x^2 + 2*e*f*x + e^2)*e^(2*(b*q*log(d) + b*log(c) + a)/(b*p*q))) + (f^2*g^2 - 2*e*f*g*h + e^2*h^2)*e^(2*(b*q*log(d) + b*log(c) + a)/(b*p*q))*log_integral((f*x + e)*e^((b*q*log(d) + b*log(c) + a)/(b*p*q))))*e^(-3*(b*q*log(d) + b*log(c) + a)/(b*p*q))/(b*f^3*p*q)","A",0
446,1,140,0,1.276810," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","\frac{{\left({\left(f g - e h\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)} \operatorname{log\_integral}\left({\left(f x + e\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)}\right) + h \operatorname{log\_integral}\left({\left(f^{2} x^{2} + 2 \, e f x + e^{2}\right)} e^{\left(\frac{2 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)}\right)\right)} e^{\left(-\frac{2 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)}}{b f^{2} p q}"," ",0,"((f*g - e*h)*e^((b*q*log(d) + b*log(c) + a)/(b*p*q))*log_integral((f*x + e)*e^((b*q*log(d) + b*log(c) + a)/(b*p*q))) + h*log_integral((f^2*x^2 + 2*e*f*x + e^2)*e^(2*(b*q*log(d) + b*log(c) + a)/(b*p*q))))*e^(-2*(b*q*log(d) + b*log(c) + a)/(b*p*q))/(b*f^2*p*q)","A",0
447,1,65,0,1.069091," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","\frac{e^{\left(-\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)} \operatorname{log\_integral}\left({\left(f x + e\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)}\right)}{b f p q}"," ",0,"e^(-(b*q*log(d) + b*log(c) + a)/(b*p*q))*log_integral((f*x + e)*e^((b*q*log(d) + b*log(c) + a)/(b*p*q)))/(b*f*p*q)","A",0
448,0,0,0,0.976863," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a h x + a g + {\left(b h x + b g\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral(1/(a*h*x + a*g + (b*h*x + b*g)*log(((f*x + e)^p*d)^q*c)), x)","F",0
449,0,0,0,1.250570," ","integrate(1/(h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a h^{2} x^{2} + 2 \, a g h x + a g^{2} + {\left(b h^{2} x^{2} + 2 \, b g h x + b g^{2}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral(1/(a*h^2*x^2 + 2*a*g*h*x + a*g^2 + (b*h^2*x^2 + 2*b*g*h*x + b*g^2)*log(((f*x + e)^p*d)^q*c)), x)","F",0
450,1,573,0,1.100887," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","\frac{{\left(4 \, {\left(a f g h - a e h^{2} + {\left(b f g h - b e h^{2}\right)} p q \log\left(f x + e\right) + {\left(b f g h - b e h^{2}\right)} q \log\left(d\right) + {\left(b f g h - b e h^{2}\right)} \log\left(c\right)\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)} \operatorname{log\_integral}\left({\left(f^{2} x^{2} + 2 \, e f x + e^{2}\right)} e^{\left(\frac{2 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)}\right) + {\left(a f^{2} g^{2} - 2 \, a e f g h + a e^{2} h^{2} + {\left(b f^{2} g^{2} - 2 \, b e f g h + b e^{2} h^{2}\right)} p q \log\left(f x + e\right) + {\left(b f^{2} g^{2} - 2 \, b e f g h + b e^{2} h^{2}\right)} q \log\left(d\right) + {\left(b f^{2} g^{2} - 2 \, b e f g h + b e^{2} h^{2}\right)} \log\left(c\right)\right)} e^{\left(\frac{2 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)} \operatorname{log\_integral}\left({\left(f x + e\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)}\right) - {\left(b f^{3} h^{2} p q x^{3} + b e f^{2} g^{2} p q + {\left(2 \, b f^{3} g h + b e f^{2} h^{2}\right)} p q x^{2} + {\left(b f^{3} g^{2} + 2 \, b e f^{2} g h\right)} p q x\right)} e^{\left(\frac{3 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)} + 3 \, {\left(b h^{2} p q \log\left(f x + e\right) + b h^{2} q \log\left(d\right) + b h^{2} \log\left(c\right) + a h^{2}\right)} \operatorname{log\_integral}\left({\left(f^{3} x^{3} + 3 \, e f^{2} x^{2} + 3 \, e^{2} f x + e^{3}\right)} e^{\left(\frac{3 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)}\right)\right)} e^{\left(-\frac{3 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)}}{b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}}"," ",0,"(4*(a*f*g*h - a*e*h^2 + (b*f*g*h - b*e*h^2)*p*q*log(f*x + e) + (b*f*g*h - b*e*h^2)*q*log(d) + (b*f*g*h - b*e*h^2)*log(c))*e^((b*q*log(d) + b*log(c) + a)/(b*p*q))*log_integral((f^2*x^2 + 2*e*f*x + e^2)*e^(2*(b*q*log(d) + b*log(c) + a)/(b*p*q))) + (a*f^2*g^2 - 2*a*e*f*g*h + a*e^2*h^2 + (b*f^2*g^2 - 2*b*e*f*g*h + b*e^2*h^2)*p*q*log(f*x + e) + (b*f^2*g^2 - 2*b*e*f*g*h + b*e^2*h^2)*q*log(d) + (b*f^2*g^2 - 2*b*e*f*g*h + b*e^2*h^2)*log(c))*e^(2*(b*q*log(d) + b*log(c) + a)/(b*p*q))*log_integral((f*x + e)*e^((b*q*log(d) + b*log(c) + a)/(b*p*q))) - (b*f^3*h^2*p*q*x^3 + b*e*f^2*g^2*p*q + (2*b*f^3*g*h + b*e*f^2*h^2)*p*q*x^2 + (b*f^3*g^2 + 2*b*e*f^2*g*h)*p*q*x)*e^(3*(b*q*log(d) + b*log(c) + a)/(b*p*q)) + 3*(b*h^2*p*q*log(f*x + e) + b*h^2*q*log(d) + b*h^2*log(c) + a*h^2)*log_integral((f^3*x^3 + 3*e*f^2*x^2 + 3*e^2*f*x + e^3)*e^(3*(b*q*log(d) + b*log(c) + a)/(b*p*q))))*e^(-3*(b*q*log(d) + b*log(c) + a)/(b*p*q))/(b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)","A",0
451,1,328,0,0.913994," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","\frac{{\left({\left({\left(b f g - b e h\right)} p q \log\left(f x + e\right) + a f g - a e h + {\left(b f g - b e h\right)} q \log\left(d\right) + {\left(b f g - b e h\right)} \log\left(c\right)\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)} \operatorname{log\_integral}\left({\left(f x + e\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)}\right) - {\left(b f^{2} h p q x^{2} + b e f g p q + {\left(b f^{2} g + b e f h\right)} p q x\right)} e^{\left(\frac{2 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)} + 2 \, {\left(b h p q \log\left(f x + e\right) + b h q \log\left(d\right) + b h \log\left(c\right) + a h\right)} \operatorname{log\_integral}\left({\left(f^{2} x^{2} + 2 \, e f x + e^{2}\right)} e^{\left(\frac{2 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)}\right)\right)} e^{\left(-\frac{2 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)}}{b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}}"," ",0,"(((b*f*g - b*e*h)*p*q*log(f*x + e) + a*f*g - a*e*h + (b*f*g - b*e*h)*q*log(d) + (b*f*g - b*e*h)*log(c))*e^((b*q*log(d) + b*log(c) + a)/(b*p*q))*log_integral((f*x + e)*e^((b*q*log(d) + b*log(c) + a)/(b*p*q))) - (b*f^2*h*p*q*x^2 + b*e*f*g*p*q + (b*f^2*g + b*e*f*h)*p*q*x)*e^(2*(b*q*log(d) + b*log(c) + a)/(b*p*q)) + 2*(b*h*p*q*log(f*x + e) + b*h*q*log(d) + b*h*log(c) + a*h)*log_integral((f^2*x^2 + 2*e*f*x + e^2)*e^(2*(b*q*log(d) + b*log(c) + a)/(b*p*q))))*e^(-2*(b*q*log(d) + b*log(c) + a)/(b*p*q))/(b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2)","A",0
452,1,171,0,0.814604," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","-\frac{{\left({\left(b f p q x + b e p q\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)} - {\left(b p q \log\left(f x + e\right) + b q \log\left(d\right) + b \log\left(c\right) + a\right)} \operatorname{log\_integral}\left({\left(f x + e\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)}\right)\right)} e^{\left(-\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)}}{b^{3} f p^{3} q^{3} \log\left(f x + e\right) + b^{3} f p^{2} q^{3} \log\left(d\right) + b^{3} f p^{2} q^{2} \log\left(c\right) + a b^{2} f p^{2} q^{2}}"," ",0,"-((b*f*p*q*x + b*e*p*q)*e^((b*q*log(d) + b*log(c) + a)/(b*p*q)) - (b*p*q*log(f*x + e) + b*q*log(d) + b*log(c) + a)*log_integral((f*x + e)*e^((b*q*log(d) + b*log(c) + a)/(b*p*q))))*e^(-(b*q*log(d) + b*log(c) + a)/(b*p*q))/(b^3*f*p^3*q^3*log(f*x + e) + b^3*f*p^2*q^3*log(d) + b^3*f*p^2*q^2*log(c) + a*b^2*f*p^2*q^2)","A",0
453,0,0,0,0.948896," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} h x + a^{2} g + {\left(b^{2} h x + b^{2} g\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, {\left(a b h x + a b g\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral(1/(a^2*h*x + a^2*g + (b^2*h*x + b^2*g)*log(((f*x + e)^p*d)^q*c)^2 + 2*(a*b*h*x + a*b*g)*log(((f*x + e)^p*d)^q*c)), x)","F",0
454,0,0,0,1.167094," ","integrate(1/(h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} h^{2} x^{2} + 2 \, a^{2} g h x + a^{2} g^{2} + {\left(b^{2} h^{2} x^{2} + 2 \, b^{2} g h x + b^{2} g^{2}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, {\left(a b h^{2} x^{2} + 2 \, a b g h x + a b g^{2}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral(1/(a^2*h^2*x^2 + 2*a^2*g*h*x + a^2*g^2 + (b^2*h^2*x^2 + 2*b^2*g*h*x + b^2*g^2)*log(((f*x + e)^p*d)^q*c)^2 + 2*(a*b*h^2*x^2 + 2*a*b*g*h*x + a*b*g^2)*log(((f*x + e)^p*d)^q*c)), x)","F",0
455,1,1682,0,1.287887," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""fricas"")","\frac{{\left(8 \, {\left({\left(b^{2} f g h - b^{2} e h^{2}\right)} p^{2} q^{2} \log\left(f x + e\right)^{2} + a^{2} f g h - a^{2} e h^{2} + {\left(b^{2} f g h - b^{2} e h^{2}\right)} q^{2} \log\left(d\right)^{2} + {\left(b^{2} f g h - b^{2} e h^{2}\right)} \log\left(c\right)^{2} + 2 \, {\left({\left(b^{2} f g h - b^{2} e h^{2}\right)} p q^{2} \log\left(d\right) + {\left(b^{2} f g h - b^{2} e h^{2}\right)} p q \log\left(c\right) + {\left(a b f g h - a b e h^{2}\right)} p q\right)} \log\left(f x + e\right) + 2 \, {\left(a b f g h - a b e h^{2}\right)} \log\left(c\right) + 2 \, {\left({\left(b^{2} f g h - b^{2} e h^{2}\right)} q \log\left(c\right) + {\left(a b f g h - a b e h^{2}\right)} q\right)} \log\left(d\right)\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)} \operatorname{log\_integral}\left({\left(f^{2} x^{2} + 2 \, e f x + e^{2}\right)} e^{\left(\frac{2 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)}\right) + {\left({\left(b^{2} f^{2} g^{2} - 2 \, b^{2} e f g h + b^{2} e^{2} h^{2}\right)} p^{2} q^{2} \log\left(f x + e\right)^{2} + a^{2} f^{2} g^{2} - 2 \, a^{2} e f g h + a^{2} e^{2} h^{2} + {\left(b^{2} f^{2} g^{2} - 2 \, b^{2} e f g h + b^{2} e^{2} h^{2}\right)} q^{2} \log\left(d\right)^{2} + {\left(b^{2} f^{2} g^{2} - 2 \, b^{2} e f g h + b^{2} e^{2} h^{2}\right)} \log\left(c\right)^{2} + 2 \, {\left({\left(b^{2} f^{2} g^{2} - 2 \, b^{2} e f g h + b^{2} e^{2} h^{2}\right)} p q^{2} \log\left(d\right) + {\left(b^{2} f^{2} g^{2} - 2 \, b^{2} e f g h + b^{2} e^{2} h^{2}\right)} p q \log\left(c\right) + {\left(a b f^{2} g^{2} - 2 \, a b e f g h + a b e^{2} h^{2}\right)} p q\right)} \log\left(f x + e\right) + 2 \, {\left(a b f^{2} g^{2} - 2 \, a b e f g h + a b e^{2} h^{2}\right)} \log\left(c\right) + 2 \, {\left({\left(b^{2} f^{2} g^{2} - 2 \, b^{2} e f g h + b^{2} e^{2} h^{2}\right)} q \log\left(c\right) + {\left(a b f^{2} g^{2} - 2 \, a b e f g h + a b e^{2} h^{2}\right)} q\right)} \log\left(d\right)\right)} e^{\left(\frac{2 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)} \operatorname{log\_integral}\left({\left(f x + e\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)}\right) - {\left(b^{2} e f^{2} g^{2} p^{2} q^{2} + {\left(b^{2} f^{3} h^{2} p^{2} q^{2} + 3 \, a b f^{3} h^{2} p q\right)} x^{3} + {\left(a b e f^{2} g^{2} + 2 \, a b e^{2} f g h\right)} p q + {\left({\left(2 \, b^{2} f^{3} g h + b^{2} e f^{2} h^{2}\right)} p^{2} q^{2} + {\left(4 \, a b f^{3} g h + 5 \, a b e f^{2} h^{2}\right)} p q\right)} x^{2} + {\left({\left(b^{2} f^{3} g^{2} + 2 \, b^{2} e f^{2} g h\right)} p^{2} q^{2} + {\left(a b f^{3} g^{2} + 6 \, a b e f^{2} g h + 2 \, a b e^{2} f h^{2}\right)} p q\right)} x + {\left(3 \, b^{2} f^{3} h^{2} p^{2} q^{2} x^{3} + {\left(4 \, b^{2} f^{3} g h + 5 \, b^{2} e f^{2} h^{2}\right)} p^{2} q^{2} x^{2} + {\left(b^{2} f^{3} g^{2} + 6 \, b^{2} e f^{2} g h + 2 \, b^{2} e^{2} f h^{2}\right)} p^{2} q^{2} x + {\left(b^{2} e f^{2} g^{2} + 2 \, b^{2} e^{2} f g h\right)} p^{2} q^{2}\right)} \log\left(f x + e\right) + {\left(3 \, b^{2} f^{3} h^{2} p q x^{3} + {\left(4 \, b^{2} f^{3} g h + 5 \, b^{2} e f^{2} h^{2}\right)} p q x^{2} + {\left(b^{2} f^{3} g^{2} + 6 \, b^{2} e f^{2} g h + 2 \, b^{2} e^{2} f h^{2}\right)} p q x + {\left(b^{2} e f^{2} g^{2} + 2 \, b^{2} e^{2} f g h\right)} p q\right)} \log\left(c\right) + {\left(3 \, b^{2} f^{3} h^{2} p q^{2} x^{3} + {\left(4 \, b^{2} f^{3} g h + 5 \, b^{2} e f^{2} h^{2}\right)} p q^{2} x^{2} + {\left(b^{2} f^{3} g^{2} + 6 \, b^{2} e f^{2} g h + 2 \, b^{2} e^{2} f h^{2}\right)} p q^{2} x + {\left(b^{2} e f^{2} g^{2} + 2 \, b^{2} e^{2} f g h\right)} p q^{2}\right)} \log\left(d\right)\right)} e^{\left(\frac{3 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)} + 9 \, {\left(b^{2} h^{2} p^{2} q^{2} \log\left(f x + e\right)^{2} + b^{2} h^{2} q^{2} \log\left(d\right)^{2} + b^{2} h^{2} \log\left(c\right)^{2} + 2 \, a b h^{2} \log\left(c\right) + a^{2} h^{2} + 2 \, {\left(b^{2} h^{2} p q^{2} \log\left(d\right) + b^{2} h^{2} p q \log\left(c\right) + a b h^{2} p q\right)} \log\left(f x + e\right) + 2 \, {\left(b^{2} h^{2} q \log\left(c\right) + a b h^{2} q\right)} \log\left(d\right)\right)} \operatorname{log\_integral}\left({\left(f^{3} x^{3} + 3 \, e f^{2} x^{2} + 3 \, e^{2} f x + e^{3}\right)} e^{\left(\frac{3 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)}\right)\right)} e^{\left(-\frac{3 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)}}{2 \, {\left(b^{5} f^{3} p^{5} q^{5} \log\left(f x + e\right)^{2} + b^{5} f^{3} p^{3} q^{5} \log\left(d\right)^{2} + b^{5} f^{3} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{3} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{3} p^{3} q^{3} + 2 \, {\left(b^{5} f^{3} p^{4} q^{5} \log\left(d\right) + b^{5} f^{3} p^{4} q^{4} \log\left(c\right) + a b^{4} f^{3} p^{4} q^{4}\right)} \log\left(f x + e\right) + 2 \, {\left(b^{5} f^{3} p^{3} q^{4} \log\left(c\right) + a b^{4} f^{3} p^{3} q^{4}\right)} \log\left(d\right)\right)}}"," ",0,"1/2*(8*((b^2*f*g*h - b^2*e*h^2)*p^2*q^2*log(f*x + e)^2 + a^2*f*g*h - a^2*e*h^2 + (b^2*f*g*h - b^2*e*h^2)*q^2*log(d)^2 + (b^2*f*g*h - b^2*e*h^2)*log(c)^2 + 2*((b^2*f*g*h - b^2*e*h^2)*p*q^2*log(d) + (b^2*f*g*h - b^2*e*h^2)*p*q*log(c) + (a*b*f*g*h - a*b*e*h^2)*p*q)*log(f*x + e) + 2*(a*b*f*g*h - a*b*e*h^2)*log(c) + 2*((b^2*f*g*h - b^2*e*h^2)*q*log(c) + (a*b*f*g*h - a*b*e*h^2)*q)*log(d))*e^((b*q*log(d) + b*log(c) + a)/(b*p*q))*log_integral((f^2*x^2 + 2*e*f*x + e^2)*e^(2*(b*q*log(d) + b*log(c) + a)/(b*p*q))) + ((b^2*f^2*g^2 - 2*b^2*e*f*g*h + b^2*e^2*h^2)*p^2*q^2*log(f*x + e)^2 + a^2*f^2*g^2 - 2*a^2*e*f*g*h + a^2*e^2*h^2 + (b^2*f^2*g^2 - 2*b^2*e*f*g*h + b^2*e^2*h^2)*q^2*log(d)^2 + (b^2*f^2*g^2 - 2*b^2*e*f*g*h + b^2*e^2*h^2)*log(c)^2 + 2*((b^2*f^2*g^2 - 2*b^2*e*f*g*h + b^2*e^2*h^2)*p*q^2*log(d) + (b^2*f^2*g^2 - 2*b^2*e*f*g*h + b^2*e^2*h^2)*p*q*log(c) + (a*b*f^2*g^2 - 2*a*b*e*f*g*h + a*b*e^2*h^2)*p*q)*log(f*x + e) + 2*(a*b*f^2*g^2 - 2*a*b*e*f*g*h + a*b*e^2*h^2)*log(c) + 2*((b^2*f^2*g^2 - 2*b^2*e*f*g*h + b^2*e^2*h^2)*q*log(c) + (a*b*f^2*g^2 - 2*a*b*e*f*g*h + a*b*e^2*h^2)*q)*log(d))*e^(2*(b*q*log(d) + b*log(c) + a)/(b*p*q))*log_integral((f*x + e)*e^((b*q*log(d) + b*log(c) + a)/(b*p*q))) - (b^2*e*f^2*g^2*p^2*q^2 + (b^2*f^3*h^2*p^2*q^2 + 3*a*b*f^3*h^2*p*q)*x^3 + (a*b*e*f^2*g^2 + 2*a*b*e^2*f*g*h)*p*q + ((2*b^2*f^3*g*h + b^2*e*f^2*h^2)*p^2*q^2 + (4*a*b*f^3*g*h + 5*a*b*e*f^2*h^2)*p*q)*x^2 + ((b^2*f^3*g^2 + 2*b^2*e*f^2*g*h)*p^2*q^2 + (a*b*f^3*g^2 + 6*a*b*e*f^2*g*h + 2*a*b*e^2*f*h^2)*p*q)*x + (3*b^2*f^3*h^2*p^2*q^2*x^3 + (4*b^2*f^3*g*h + 5*b^2*e*f^2*h^2)*p^2*q^2*x^2 + (b^2*f^3*g^2 + 6*b^2*e*f^2*g*h + 2*b^2*e^2*f*h^2)*p^2*q^2*x + (b^2*e*f^2*g^2 + 2*b^2*e^2*f*g*h)*p^2*q^2)*log(f*x + e) + (3*b^2*f^3*h^2*p*q*x^3 + (4*b^2*f^3*g*h + 5*b^2*e*f^2*h^2)*p*q*x^2 + (b^2*f^3*g^2 + 6*b^2*e*f^2*g*h + 2*b^2*e^2*f*h^2)*p*q*x + (b^2*e*f^2*g^2 + 2*b^2*e^2*f*g*h)*p*q)*log(c) + (3*b^2*f^3*h^2*p*q^2*x^3 + (4*b^2*f^3*g*h + 5*b^2*e*f^2*h^2)*p*q^2*x^2 + (b^2*f^3*g^2 + 6*b^2*e*f^2*g*h + 2*b^2*e^2*f*h^2)*p*q^2*x + (b^2*e*f^2*g^2 + 2*b^2*e^2*f*g*h)*p*q^2)*log(d))*e^(3*(b*q*log(d) + b*log(c) + a)/(b*p*q)) + 9*(b^2*h^2*p^2*q^2*log(f*x + e)^2 + b^2*h^2*q^2*log(d)^2 + b^2*h^2*log(c)^2 + 2*a*b*h^2*log(c) + a^2*h^2 + 2*(b^2*h^2*p*q^2*log(d) + b^2*h^2*p*q*log(c) + a*b*h^2*p*q)*log(f*x + e) + 2*(b^2*h^2*q*log(c) + a*b*h^2*q)*log(d))*log_integral((f^3*x^3 + 3*e*f^2*x^2 + 3*e^2*f*x + e^3)*e^(3*(b*q*log(d) + b*log(c) + a)/(b*p*q))))*e^(-3*(b*q*log(d) + b*log(c) + a)/(b*p*q))/(b^5*f^3*p^5*q^5*log(f*x + e)^2 + b^5*f^3*p^3*q^5*log(d)^2 + b^5*f^3*p^3*q^3*log(c)^2 + 2*a*b^4*f^3*p^3*q^3*log(c) + a^2*b^3*f^3*p^3*q^3 + 2*(b^5*f^3*p^4*q^5*log(d) + b^5*f^3*p^4*q^4*log(c) + a*b^4*f^3*p^4*q^4)*log(f*x + e) + 2*(b^5*f^3*p^3*q^4*log(c) + a*b^4*f^3*p^3*q^4)*log(d))","B",0
456,1,931,0,1.143997," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""fricas"")","\frac{{\left({\left({\left(b^{2} f g - b^{2} e h\right)} p^{2} q^{2} \log\left(f x + e\right)^{2} + {\left(b^{2} f g - b^{2} e h\right)} q^{2} \log\left(d\right)^{2} + a^{2} f g - a^{2} e h + {\left(b^{2} f g - b^{2} e h\right)} \log\left(c\right)^{2} + 2 \, {\left({\left(b^{2} f g - b^{2} e h\right)} p q^{2} \log\left(d\right) + {\left(b^{2} f g - b^{2} e h\right)} p q \log\left(c\right) + {\left(a b f g - a b e h\right)} p q\right)} \log\left(f x + e\right) + 2 \, {\left(a b f g - a b e h\right)} \log\left(c\right) + 2 \, {\left({\left(b^{2} f g - b^{2} e h\right)} q \log\left(c\right) + {\left(a b f g - a b e h\right)} q\right)} \log\left(d\right)\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)} \operatorname{log\_integral}\left({\left(f x + e\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)}\right) - {\left(b^{2} e f g p^{2} q^{2} + {\left(a b e f g + a b e^{2} h\right)} p q + {\left(b^{2} f^{2} h p^{2} q^{2} + 2 \, a b f^{2} h p q\right)} x^{2} + {\left({\left(b^{2} f^{2} g + b^{2} e f h\right)} p^{2} q^{2} + {\left(a b f^{2} g + 3 \, a b e f h\right)} p q\right)} x + {\left(2 \, b^{2} f^{2} h p^{2} q^{2} x^{2} + {\left(b^{2} f^{2} g + 3 \, b^{2} e f h\right)} p^{2} q^{2} x + {\left(b^{2} e f g + b^{2} e^{2} h\right)} p^{2} q^{2}\right)} \log\left(f x + e\right) + {\left(2 \, b^{2} f^{2} h p q x^{2} + {\left(b^{2} f^{2} g + 3 \, b^{2} e f h\right)} p q x + {\left(b^{2} e f g + b^{2} e^{2} h\right)} p q\right)} \log\left(c\right) + {\left(2 \, b^{2} f^{2} h p q^{2} x^{2} + {\left(b^{2} f^{2} g + 3 \, b^{2} e f h\right)} p q^{2} x + {\left(b^{2} e f g + b^{2} e^{2} h\right)} p q^{2}\right)} \log\left(d\right)\right)} e^{\left(\frac{2 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)} + 4 \, {\left(b^{2} h p^{2} q^{2} \log\left(f x + e\right)^{2} + b^{2} h q^{2} \log\left(d\right)^{2} + b^{2} h \log\left(c\right)^{2} + 2 \, a b h \log\left(c\right) + a^{2} h + 2 \, {\left(b^{2} h p q^{2} \log\left(d\right) + b^{2} h p q \log\left(c\right) + a b h p q\right)} \log\left(f x + e\right) + 2 \, {\left(b^{2} h q \log\left(c\right) + a b h q\right)} \log\left(d\right)\right)} \operatorname{log\_integral}\left({\left(f^{2} x^{2} + 2 \, e f x + e^{2}\right)} e^{\left(\frac{2 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)}\right)\right)} e^{\left(-\frac{2 \, {\left(b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{b p q}\right)}}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3} + 2 \, {\left(b^{5} f^{2} p^{4} q^{5} \log\left(d\right) + b^{5} f^{2} p^{4} q^{4} \log\left(c\right) + a b^{4} f^{2} p^{4} q^{4}\right)} \log\left(f x + e\right) + 2 \, {\left(b^{5} f^{2} p^{3} q^{4} \log\left(c\right) + a b^{4} f^{2} p^{3} q^{4}\right)} \log\left(d\right)\right)}}"," ",0,"1/2*(((b^2*f*g - b^2*e*h)*p^2*q^2*log(f*x + e)^2 + (b^2*f*g - b^2*e*h)*q^2*log(d)^2 + a^2*f*g - a^2*e*h + (b^2*f*g - b^2*e*h)*log(c)^2 + 2*((b^2*f*g - b^2*e*h)*p*q^2*log(d) + (b^2*f*g - b^2*e*h)*p*q*log(c) + (a*b*f*g - a*b*e*h)*p*q)*log(f*x + e) + 2*(a*b*f*g - a*b*e*h)*log(c) + 2*((b^2*f*g - b^2*e*h)*q*log(c) + (a*b*f*g - a*b*e*h)*q)*log(d))*e^((b*q*log(d) + b*log(c) + a)/(b*p*q))*log_integral((f*x + e)*e^((b*q*log(d) + b*log(c) + a)/(b*p*q))) - (b^2*e*f*g*p^2*q^2 + (a*b*e*f*g + a*b*e^2*h)*p*q + (b^2*f^2*h*p^2*q^2 + 2*a*b*f^2*h*p*q)*x^2 + ((b^2*f^2*g + b^2*e*f*h)*p^2*q^2 + (a*b*f^2*g + 3*a*b*e*f*h)*p*q)*x + (2*b^2*f^2*h*p^2*q^2*x^2 + (b^2*f^2*g + 3*b^2*e*f*h)*p^2*q^2*x + (b^2*e*f*g + b^2*e^2*h)*p^2*q^2)*log(f*x + e) + (2*b^2*f^2*h*p*q*x^2 + (b^2*f^2*g + 3*b^2*e*f*h)*p*q*x + (b^2*e*f*g + b^2*e^2*h)*p*q)*log(c) + (2*b^2*f^2*h*p*q^2*x^2 + (b^2*f^2*g + 3*b^2*e*f*h)*p*q^2*x + (b^2*e*f*g + b^2*e^2*h)*p*q^2)*log(d))*e^(2*(b*q*log(d) + b*log(c) + a)/(b*p*q)) + 4*(b^2*h*p^2*q^2*log(f*x + e)^2 + b^2*h*q^2*log(d)^2 + b^2*h*log(c)^2 + 2*a*b*h*log(c) + a^2*h + 2*(b^2*h*p*q^2*log(d) + b^2*h*p*q*log(c) + a*b*h*p*q)*log(f*x + e) + 2*(b^2*h*q*log(c) + a*b*h*q)*log(d))*log_integral((f^2*x^2 + 2*e*f*x + e^2)*e^(2*(b*q*log(d) + b*log(c) + a)/(b*p*q))))*e^(-2*(b*q*log(d) + b*log(c) + a)/(b*p*q))/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + b^5*f^2*p^3*q^5*log(d)^2 + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3 + 2*(b^5*f^2*p^4*q^5*log(d) + b^5*f^2*p^4*q^4*log(c) + a*b^4*f^2*p^4*q^4)*log(f*x + e) + 2*(b^5*f^2*p^3*q^4*log(c) + a*b^4*f^2*p^3*q^4)*log(d))","B",0
457,1,444,0,0.738162," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""fricas"")","-\frac{{\left({\left(b^{2} e p^{2} q^{2} + a b e p q + {\left(b^{2} f p^{2} q^{2} + a b f p q\right)} x + {\left(b^{2} f p^{2} q^{2} x + b^{2} e p^{2} q^{2}\right)} \log\left(f x + e\right) + {\left(b^{2} f p q x + b^{2} e p q\right)} \log\left(c\right) + {\left(b^{2} f p q^{2} x + b^{2} e p q^{2}\right)} \log\left(d\right)\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)} - {\left(b^{2} p^{2} q^{2} \log\left(f x + e\right)^{2} + b^{2} q^{2} \log\left(d\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + a^{2} + 2 \, {\left(b^{2} p q^{2} \log\left(d\right) + b^{2} p q \log\left(c\right) + a b p q\right)} \log\left(f x + e\right) + 2 \, {\left(b^{2} q \log\left(c\right) + a b q\right)} \log\left(d\right)\right)} \operatorname{log\_integral}\left({\left(f x + e\right)} e^{\left(\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)}\right)\right)} e^{\left(-\frac{b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)}}{2 \, {\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3} + 2 \, {\left(b^{5} f p^{4} q^{5} \log\left(d\right) + b^{5} f p^{4} q^{4} \log\left(c\right) + a b^{4} f p^{4} q^{4}\right)} \log\left(f x + e\right) + 2 \, {\left(b^{5} f p^{3} q^{4} \log\left(c\right) + a b^{4} f p^{3} q^{4}\right)} \log\left(d\right)\right)}}"," ",0,"-1/2*((b^2*e*p^2*q^2 + a*b*e*p*q + (b^2*f*p^2*q^2 + a*b*f*p*q)*x + (b^2*f*p^2*q^2*x + b^2*e*p^2*q^2)*log(f*x + e) + (b^2*f*p*q*x + b^2*e*p*q)*log(c) + (b^2*f*p*q^2*x + b^2*e*p*q^2)*log(d))*e^((b*q*log(d) + b*log(c) + a)/(b*p*q)) - (b^2*p^2*q^2*log(f*x + e)^2 + b^2*q^2*log(d)^2 + b^2*log(c)^2 + 2*a*b*log(c) + a^2 + 2*(b^2*p*q^2*log(d) + b^2*p*q*log(c) + a*b*p*q)*log(f*x + e) + 2*(b^2*q*log(c) + a*b*q)*log(d))*log_integral((f*x + e)*e^((b*q*log(d) + b*log(c) + a)/(b*p*q))))*e^(-(b*q*log(d) + b*log(c) + a)/(b*p*q))/(b^5*f*p^5*q^5*log(f*x + e)^2 + b^5*f*p^3*q^5*log(d)^2 + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3 + 2*(b^5*f*p^4*q^5*log(d) + b^5*f*p^4*q^4*log(c) + a*b^4*f*p^4*q^4)*log(f*x + e) + 2*(b^5*f*p^3*q^4*log(c) + a*b^4*f*p^3*q^4)*log(d))","B",0
458,0,0,0,0.667868," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{3} h x + a^{3} g + {\left(b^{3} h x + b^{3} g\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + 3 \, {\left(a b^{2} h x + a b^{2} g\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 3 \, {\left(a^{2} b h x + a^{2} b g\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral(1/(a^3*h*x + a^3*g + (b^3*h*x + b^3*g)*log(((f*x + e)^p*d)^q*c)^3 + 3*(a*b^2*h*x + a*b^2*g)*log(((f*x + e)^p*d)^q*c)^2 + 3*(a^2*b*h*x + a^2*b*g)*log(((f*x + e)^p*d)^q*c)), x)","F",0
459,0,0,0,1.245602," ","integrate(1/(h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{3} h^{2} x^{2} + 2 \, a^{3} g h x + a^{3} g^{2} + {\left(b^{3} h^{2} x^{2} + 2 \, b^{3} g h x + b^{3} g^{2}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + 3 \, {\left(a b^{2} h^{2} x^{2} + 2 \, a b^{2} g h x + a b^{2} g^{2}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 3 \, {\left(a^{2} b h^{2} x^{2} + 2 \, a^{2} b g h x + a^{2} b g^{2}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral(1/(a^3*h^2*x^2 + 2*a^3*g*h*x + a^3*g^2 + (b^3*h^2*x^2 + 2*b^3*g*h*x + b^3*g^2)*log(((f*x + e)^p*d)^q*c)^3 + 3*(a*b^2*h^2*x^2 + 2*a*b^2*g*h*x + a*b^2*g^2)*log(((f*x + e)^p*d)^q*c)^2 + 3*(a^2*b*h^2*x^2 + 2*a^2*b*g*h*x + a^2*b*g^2)*log(((f*x + e)^p*d)^q*c)), x)","F",0
460,-2,0,0,0.000000," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^(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
461,-2,0,0,0.000000," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q))^(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
462,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(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
463,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(1/2)/(h*x+g),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
464,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(1/2)/(h*x+g)^2,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
465,-2,0,0,0.000000," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
466,-2,0,0,0.000000," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
467,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
468,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(3/2)/(h*x+g),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
469,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(3/2)/(h*x+g)^2,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
470,-2,0,0,0.000000," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^(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
471,-2,0,0,0.000000," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(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
472,-2,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
473,-2,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
474,-2,0,0,0.000000," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^(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
475,-2,0,0,0.000000," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
476,-2,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))^(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
477,-2,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
478,-2,0,0,0.000000," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^(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
479,-2,0,0,0.000000," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(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
480,-2,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))^(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
481,-2,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
482,1,624,0,0.862341," ","integrate((h*x+g)^(3/2)*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(15 \, {\left(b f^{2} g^{2} - 2 \, b e f g h + b e^{2} h^{2}\right)} p q \sqrt{\frac{f g - e h}{f}} \log\left(\frac{f h x + 2 \, f g - e h + 2 \, \sqrt{h x + g} f \sqrt{\frac{f g - e h}{f}}}{f x + e}\right) + {\left(15 \, a f^{2} g^{2} - 2 \, {\left(23 \, b f^{2} g^{2} - 35 \, b e f g h + 15 \, b e^{2} h^{2}\right)} p q - 3 \, {\left(2 \, b f^{2} h^{2} p q - 5 \, a f^{2} h^{2}\right)} x^{2} + 2 \, {\left(15 \, a f^{2} g h - {\left(11 \, b f^{2} g h - 5 \, b e f h^{2}\right)} p q\right)} x + 15 \, {\left(b f^{2} h^{2} p q x^{2} + 2 \, b f^{2} g h p q x + b f^{2} g^{2} p q\right)} \log\left(f x + e\right) + 15 \, {\left(b f^{2} h^{2} x^{2} + 2 \, b f^{2} g h x + b f^{2} g^{2}\right)} \log\left(c\right) + 15 \, {\left(b f^{2} h^{2} q x^{2} + 2 \, b f^{2} g h q x + b f^{2} g^{2} q\right)} \log\left(d\right)\right)} \sqrt{h x + g}\right)}}{75 \, f^{2} h}, \frac{2 \, {\left(30 \, {\left(b f^{2} g^{2} - 2 \, b e f g h + b e^{2} h^{2}\right)} p q \sqrt{-\frac{f g - e h}{f}} \arctan\left(-\frac{\sqrt{h x + g} f \sqrt{-\frac{f g - e h}{f}}}{f g - e h}\right) + {\left(15 \, a f^{2} g^{2} - 2 \, {\left(23 \, b f^{2} g^{2} - 35 \, b e f g h + 15 \, b e^{2} h^{2}\right)} p q - 3 \, {\left(2 \, b f^{2} h^{2} p q - 5 \, a f^{2} h^{2}\right)} x^{2} + 2 \, {\left(15 \, a f^{2} g h - {\left(11 \, b f^{2} g h - 5 \, b e f h^{2}\right)} p q\right)} x + 15 \, {\left(b f^{2} h^{2} p q x^{2} + 2 \, b f^{2} g h p q x + b f^{2} g^{2} p q\right)} \log\left(f x + e\right) + 15 \, {\left(b f^{2} h^{2} x^{2} + 2 \, b f^{2} g h x + b f^{2} g^{2}\right)} \log\left(c\right) + 15 \, {\left(b f^{2} h^{2} q x^{2} + 2 \, b f^{2} g h q x + b f^{2} g^{2} q\right)} \log\left(d\right)\right)} \sqrt{h x + g}\right)}}{75 \, f^{2} h}\right]"," ",0,"[2/75*(15*(b*f^2*g^2 - 2*b*e*f*g*h + b*e^2*h^2)*p*q*sqrt((f*g - e*h)/f)*log((f*h*x + 2*f*g - e*h + 2*sqrt(h*x + g)*f*sqrt((f*g - e*h)/f))/(f*x + e)) + (15*a*f^2*g^2 - 2*(23*b*f^2*g^2 - 35*b*e*f*g*h + 15*b*e^2*h^2)*p*q - 3*(2*b*f^2*h^2*p*q - 5*a*f^2*h^2)*x^2 + 2*(15*a*f^2*g*h - (11*b*f^2*g*h - 5*b*e*f*h^2)*p*q)*x + 15*(b*f^2*h^2*p*q*x^2 + 2*b*f^2*g*h*p*q*x + b*f^2*g^2*p*q)*log(f*x + e) + 15*(b*f^2*h^2*x^2 + 2*b*f^2*g*h*x + b*f^2*g^2)*log(c) + 15*(b*f^2*h^2*q*x^2 + 2*b*f^2*g*h*q*x + b*f^2*g^2*q)*log(d))*sqrt(h*x + g))/(f^2*h), 2/75*(30*(b*f^2*g^2 - 2*b*e*f*g*h + b*e^2*h^2)*p*q*sqrt(-(f*g - e*h)/f)*arctan(-sqrt(h*x + g)*f*sqrt(-(f*g - e*h)/f)/(f*g - e*h)) + (15*a*f^2*g^2 - 2*(23*b*f^2*g^2 - 35*b*e*f*g*h + 15*b*e^2*h^2)*p*q - 3*(2*b*f^2*h^2*p*q - 5*a*f^2*h^2)*x^2 + 2*(15*a*f^2*g*h - (11*b*f^2*g*h - 5*b*e*f*h^2)*p*q)*x + 15*(b*f^2*h^2*p*q*x^2 + 2*b*f^2*g*h*p*q*x + b*f^2*g^2*p*q)*log(f*x + e) + 15*(b*f^2*h^2*x^2 + 2*b*f^2*g*h*x + b*f^2*g^2)*log(c) + 15*(b*f^2*h^2*q*x^2 + 2*b*f^2*g*h*q*x + b*f^2*g^2*q)*log(d))*sqrt(h*x + g))/(f^2*h)]","B",0
483,1,353,0,0.807120," ","integrate((h*x+g)^(1/2)*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","\left[-\frac{2 \, {\left(3 \, {\left(b f g - b e h\right)} p q \sqrt{\frac{f g - e h}{f}} \log\left(\frac{f h x + 2 \, f g - e h - 2 \, \sqrt{h x + g} f \sqrt{\frac{f g - e h}{f}}}{f x + e}\right) - {\left(3 \, a f g - 2 \, {\left(4 \, b f g - 3 \, b e h\right)} p q - {\left(2 \, b f h p q - 3 \, a f h\right)} x + 3 \, {\left(b f h p q x + b f g p q\right)} \log\left(f x + e\right) + 3 \, {\left(b f h x + b f g\right)} \log\left(c\right) + 3 \, {\left(b f h q x + b f g q\right)} \log\left(d\right)\right)} \sqrt{h x + g}\right)}}{9 \, f h}, \frac{2 \, {\left(6 \, {\left(b f g - b e h\right)} p q \sqrt{-\frac{f g - e h}{f}} \arctan\left(-\frac{\sqrt{h x + g} f \sqrt{-\frac{f g - e h}{f}}}{f g - e h}\right) + {\left(3 \, a f g - 2 \, {\left(4 \, b f g - 3 \, b e h\right)} p q - {\left(2 \, b f h p q - 3 \, a f h\right)} x + 3 \, {\left(b f h p q x + b f g p q\right)} \log\left(f x + e\right) + 3 \, {\left(b f h x + b f g\right)} \log\left(c\right) + 3 \, {\left(b f h q x + b f g q\right)} \log\left(d\right)\right)} \sqrt{h x + g}\right)}}{9 \, f h}\right]"," ",0,"[-2/9*(3*(b*f*g - b*e*h)*p*q*sqrt((f*g - e*h)/f)*log((f*h*x + 2*f*g - e*h - 2*sqrt(h*x + g)*f*sqrt((f*g - e*h)/f))/(f*x + e)) - (3*a*f*g - 2*(4*b*f*g - 3*b*e*h)*p*q - (2*b*f*h*p*q - 3*a*f*h)*x + 3*(b*f*h*p*q*x + b*f*g*p*q)*log(f*x + e) + 3*(b*f*h*x + b*f*g)*log(c) + 3*(b*f*h*q*x + b*f*g*q)*log(d))*sqrt(h*x + g))/(f*h), 2/9*(6*(b*f*g - b*e*h)*p*q*sqrt(-(f*g - e*h)/f)*arctan(-sqrt(h*x + g)*f*sqrt(-(f*g - e*h)/f)/(f*g - e*h)) + (3*a*f*g - 2*(4*b*f*g - 3*b*e*h)*p*q - (2*b*f*h*p*q - 3*a*f*h)*x + 3*(b*f*h*p*q*x + b*f*g*p*q)*log(f*x + e) + 3*(b*f*h*x + b*f*g)*log(c) + 3*(b*f*h*q*x + b*f*g*q)*log(d))*sqrt(h*x + g))/(f*h)]","A",0
484,1,201,0,0.965540," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(b p q \sqrt{\frac{f g - e h}{f}} \log\left(\frac{f h x + 2 \, f g - e h + 2 \, \sqrt{h x + g} f \sqrt{\frac{f g - e h}{f}}}{f x + e}\right) + {\left(b p q \log\left(f x + e\right) - 2 \, b p q + b q \log\left(d\right) + b \log\left(c\right) + a\right)} \sqrt{h x + g}\right)}}{h}, \frac{2 \, {\left(2 \, b p q \sqrt{-\frac{f g - e h}{f}} \arctan\left(-\frac{\sqrt{h x + g} f \sqrt{-\frac{f g - e h}{f}}}{f g - e h}\right) + {\left(b p q \log\left(f x + e\right) - 2 \, b p q + b q \log\left(d\right) + b \log\left(c\right) + a\right)} \sqrt{h x + g}\right)}}{h}\right]"," ",0,"[2*(b*p*q*sqrt((f*g - e*h)/f)*log((f*h*x + 2*f*g - e*h + 2*sqrt(h*x + g)*f*sqrt((f*g - e*h)/f))/(f*x + e)) + (b*p*q*log(f*x + e) - 2*b*p*q + b*q*log(d) + b*log(c) + a)*sqrt(h*x + g))/h, 2*(2*b*p*q*sqrt(-(f*g - e*h)/f)*arctan(-sqrt(h*x + g)*f*sqrt(-(f*g - e*h)/f)/(f*g - e*h)) + (b*p*q*log(f*x + e) - 2*b*p*q + b*q*log(d) + b*log(c) + a)*sqrt(h*x + g))/h]","A",0
485,1,240,0,0.686642," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left({\left(b h p q x + b g p q\right)} \sqrt{\frac{f}{f g - e h}} \log\left(\frac{f h x + 2 \, f g - e h - 2 \, {\left(f g - e h\right)} \sqrt{h x + g} \sqrt{\frac{f}{f g - e h}}}{f x + e}\right) - {\left(b p q \log\left(f x + e\right) + b q \log\left(d\right) + b \log\left(c\right) + a\right)} \sqrt{h x + g}\right)}}{h^{2} x + g h}, -\frac{2 \, {\left(2 \, {\left(b h p q x + b g p q\right)} \sqrt{-\frac{f}{f g - e h}} \arctan\left(-\frac{{\left(f g - e h\right)} \sqrt{h x + g} \sqrt{-\frac{f}{f g - e h}}}{f h x + f g}\right) + {\left(b p q \log\left(f x + e\right) + b q \log\left(d\right) + b \log\left(c\right) + a\right)} \sqrt{h x + g}\right)}}{h^{2} x + g h}\right]"," ",0,"[2*((b*h*p*q*x + b*g*p*q)*sqrt(f/(f*g - e*h))*log((f*h*x + 2*f*g - e*h - 2*(f*g - e*h)*sqrt(h*x + g)*sqrt(f/(f*g - e*h)))/(f*x + e)) - (b*p*q*log(f*x + e) + b*q*log(d) + b*log(c) + a)*sqrt(h*x + g))/(h^2*x + g*h), -2*(2*(b*h*p*q*x + b*g*p*q)*sqrt(-f/(f*g - e*h))*arctan(-(f*g - e*h)*sqrt(h*x + g)*sqrt(-f/(f*g - e*h))/(f*h*x + f*g)) + (b*p*q*log(f*x + e) + b*q*log(d) + b*log(c) + a)*sqrt(h*x + g))/(h^2*x + g*h)]","A",0
486,1,467,0,1.075994," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(5/2),x, algorithm=""fricas"")","\left[-\frac{2 \, {\left({\left(b f h^{2} p q x^{2} + 2 \, b f g h p q x + b f g^{2} p q\right)} \sqrt{\frac{f}{f g - e h}} \log\left(\frac{f h x + 2 \, f g - e h + 2 \, {\left(f g - e h\right)} \sqrt{h x + g} \sqrt{\frac{f}{f g - e h}}}{f x + e}\right) - {\left(2 \, b f h p q x + 2 \, b f g p q - {\left(b f g - b e h\right)} p q \log\left(f x + e\right) - a f g + a e h - {\left(b f g - b e h\right)} q \log\left(d\right) - {\left(b f g - b e h\right)} \log\left(c\right)\right)} \sqrt{h x + g}\right)}}{3 \, {\left(f g^{3} h - e g^{2} h^{2} + {\left(f g h^{3} - e h^{4}\right)} x^{2} + 2 \, {\left(f g^{2} h^{2} - e g h^{3}\right)} x\right)}}, -\frac{2 \, {\left(2 \, {\left(b f h^{2} p q x^{2} + 2 \, b f g h p q x + b f g^{2} p q\right)} \sqrt{-\frac{f}{f g - e h}} \arctan\left(-\frac{{\left(f g - e h\right)} \sqrt{h x + g} \sqrt{-\frac{f}{f g - e h}}}{f h x + f g}\right) - {\left(2 \, b f h p q x + 2 \, b f g p q - {\left(b f g - b e h\right)} p q \log\left(f x + e\right) - a f g + a e h - {\left(b f g - b e h\right)} q \log\left(d\right) - {\left(b f g - b e h\right)} \log\left(c\right)\right)} \sqrt{h x + g}\right)}}{3 \, {\left(f g^{3} h - e g^{2} h^{2} + {\left(f g h^{3} - e h^{4}\right)} x^{2} + 2 \, {\left(f g^{2} h^{2} - e g h^{3}\right)} x\right)}}\right]"," ",0,"[-2/3*((b*f*h^2*p*q*x^2 + 2*b*f*g*h*p*q*x + b*f*g^2*p*q)*sqrt(f/(f*g - e*h))*log((f*h*x + 2*f*g - e*h + 2*(f*g - e*h)*sqrt(h*x + g)*sqrt(f/(f*g - e*h)))/(f*x + e)) - (2*b*f*h*p*q*x + 2*b*f*g*p*q - (b*f*g - b*e*h)*p*q*log(f*x + e) - a*f*g + a*e*h - (b*f*g - b*e*h)*q*log(d) - (b*f*g - b*e*h)*log(c))*sqrt(h*x + g))/(f*g^3*h - e*g^2*h^2 + (f*g*h^3 - e*h^4)*x^2 + 2*(f*g^2*h^2 - e*g*h^3)*x), -2/3*(2*(b*f*h^2*p*q*x^2 + 2*b*f*g*h*p*q*x + b*f*g^2*p*q)*sqrt(-f/(f*g - e*h))*arctan(-(f*g - e*h)*sqrt(h*x + g)*sqrt(-f/(f*g - e*h))/(f*h*x + f*g)) - (2*b*f*h*p*q*x + 2*b*f*g*p*q - (b*f*g - b*e*h)*p*q*log(f*x + e) - a*f*g + a*e*h - (b*f*g - b*e*h)*q*log(d) - (b*f*g - b*e*h)*log(c))*sqrt(h*x + g))/(f*g^3*h - e*g^2*h^2 + (f*g*h^3 - e*h^4)*x^2 + 2*(f*g^2*h^2 - e*g*h^3)*x)]","B",0
487,1,863,0,0.931926," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(7/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(3 \, {\left(b f^{2} h^{3} p q x^{3} + 3 \, b f^{2} g h^{2} p q x^{2} + 3 \, b f^{2} g^{2} h p q x + b f^{2} g^{3} p q\right)} \sqrt{\frac{f}{f g - e h}} \log\left(\frac{f h x + 2 \, f g - e h - 2 \, {\left(f g - e h\right)} \sqrt{h x + g} \sqrt{\frac{f}{f g - e h}}}{f x + e}\right) + {\left(6 \, b f^{2} h^{2} p q x^{2} - 3 \, a f^{2} g^{2} + 6 \, a e f g h - 3 \, a e^{2} h^{2} + 2 \, {\left(7 \, b f^{2} g h - b e f h^{2}\right)} p q x - 3 \, {\left(b f^{2} g^{2} - 2 \, b e f g h + b e^{2} h^{2}\right)} p q \log\left(f x + e\right) + 2 \, {\left(4 \, b f^{2} g^{2} - b e f g h\right)} p q - 3 \, {\left(b f^{2} g^{2} - 2 \, b e f g h + b e^{2} h^{2}\right)} q \log\left(d\right) - 3 \, {\left(b f^{2} g^{2} - 2 \, b e f g h + b e^{2} h^{2}\right)} \log\left(c\right)\right)} \sqrt{h x + g}\right)}}{15 \, {\left(f^{2} g^{5} h - 2 \, e f g^{4} h^{2} + e^{2} g^{3} h^{3} + {\left(f^{2} g^{2} h^{4} - 2 \, e f g h^{5} + e^{2} h^{6}\right)} x^{3} + 3 \, {\left(f^{2} g^{3} h^{3} - 2 \, e f g^{2} h^{4} + e^{2} g h^{5}\right)} x^{2} + 3 \, {\left(f^{2} g^{4} h^{2} - 2 \, e f g^{3} h^{3} + e^{2} g^{2} h^{4}\right)} x\right)}}, -\frac{2 \, {\left(6 \, {\left(b f^{2} h^{3} p q x^{3} + 3 \, b f^{2} g h^{2} p q x^{2} + 3 \, b f^{2} g^{2} h p q x + b f^{2} g^{3} p q\right)} \sqrt{-\frac{f}{f g - e h}} \arctan\left(-\frac{{\left(f g - e h\right)} \sqrt{h x + g} \sqrt{-\frac{f}{f g - e h}}}{f h x + f g}\right) - {\left(6 \, b f^{2} h^{2} p q x^{2} - 3 \, a f^{2} g^{2} + 6 \, a e f g h - 3 \, a e^{2} h^{2} + 2 \, {\left(7 \, b f^{2} g h - b e f h^{2}\right)} p q x - 3 \, {\left(b f^{2} g^{2} - 2 \, b e f g h + b e^{2} h^{2}\right)} p q \log\left(f x + e\right) + 2 \, {\left(4 \, b f^{2} g^{2} - b e f g h\right)} p q - 3 \, {\left(b f^{2} g^{2} - 2 \, b e f g h + b e^{2} h^{2}\right)} q \log\left(d\right) - 3 \, {\left(b f^{2} g^{2} - 2 \, b e f g h + b e^{2} h^{2}\right)} \log\left(c\right)\right)} \sqrt{h x + g}\right)}}{15 \, {\left(f^{2} g^{5} h - 2 \, e f g^{4} h^{2} + e^{2} g^{3} h^{3} + {\left(f^{2} g^{2} h^{4} - 2 \, e f g h^{5} + e^{2} h^{6}\right)} x^{3} + 3 \, {\left(f^{2} g^{3} h^{3} - 2 \, e f g^{2} h^{4} + e^{2} g h^{5}\right)} x^{2} + 3 \, {\left(f^{2} g^{4} h^{2} - 2 \, e f g^{3} h^{3} + e^{2} g^{2} h^{4}\right)} x\right)}}\right]"," ",0,"[2/15*(3*(b*f^2*h^3*p*q*x^3 + 3*b*f^2*g*h^2*p*q*x^2 + 3*b*f^2*g^2*h*p*q*x + b*f^2*g^3*p*q)*sqrt(f/(f*g - e*h))*log((f*h*x + 2*f*g - e*h - 2*(f*g - e*h)*sqrt(h*x + g)*sqrt(f/(f*g - e*h)))/(f*x + e)) + (6*b*f^2*h^2*p*q*x^2 - 3*a*f^2*g^2 + 6*a*e*f*g*h - 3*a*e^2*h^2 + 2*(7*b*f^2*g*h - b*e*f*h^2)*p*q*x - 3*(b*f^2*g^2 - 2*b*e*f*g*h + b*e^2*h^2)*p*q*log(f*x + e) + 2*(4*b*f^2*g^2 - b*e*f*g*h)*p*q - 3*(b*f^2*g^2 - 2*b*e*f*g*h + b*e^2*h^2)*q*log(d) - 3*(b*f^2*g^2 - 2*b*e*f*g*h + b*e^2*h^2)*log(c))*sqrt(h*x + g))/(f^2*g^5*h - 2*e*f*g^4*h^2 + e^2*g^3*h^3 + (f^2*g^2*h^4 - 2*e*f*g*h^5 + e^2*h^6)*x^3 + 3*(f^2*g^3*h^3 - 2*e*f*g^2*h^4 + e^2*g*h^5)*x^2 + 3*(f^2*g^4*h^2 - 2*e*f*g^3*h^3 + e^2*g^2*h^4)*x), -2/15*(6*(b*f^2*h^3*p*q*x^3 + 3*b*f^2*g*h^2*p*q*x^2 + 3*b*f^2*g^2*h*p*q*x + b*f^2*g^3*p*q)*sqrt(-f/(f*g - e*h))*arctan(-(f*g - e*h)*sqrt(h*x + g)*sqrt(-f/(f*g - e*h))/(f*h*x + f*g)) - (6*b*f^2*h^2*p*q*x^2 - 3*a*f^2*g^2 + 6*a*e*f*g*h - 3*a*e^2*h^2 + 2*(7*b*f^2*g*h - b*e*f*h^2)*p*q*x - 3*(b*f^2*g^2 - 2*b*e*f*g*h + b*e^2*h^2)*p*q*log(f*x + e) + 2*(4*b*f^2*g^2 - b*e*f*g*h)*p*q - 3*(b*f^2*g^2 - 2*b*e*f*g*h + b*e^2*h^2)*q*log(d) - 3*(b*f^2*g^2 - 2*b*e*f*g*h + b*e^2*h^2)*log(c))*sqrt(h*x + g))/(f^2*g^5*h - 2*e*f*g^4*h^2 + e^2*g^3*h^3 + (f^2*g^2*h^4 - 2*e*f*g*h^5 + e^2*h^6)*x^3 + 3*(f^2*g^3*h^3 - 2*e*f*g^2*h^4 + e^2*g*h^5)*x^2 + 3*(f^2*g^4*h^2 - 2*e*f*g^3*h^3 + e^2*g^2*h^4)*x)]","B",0
488,1,1362,0,1.145998," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(9/2),x, algorithm=""fricas"")","\left[-\frac{2 \, {\left(15 \, {\left(b f^{3} h^{4} p q x^{4} + 4 \, b f^{3} g h^{3} p q x^{3} + 6 \, b f^{3} g^{2} h^{2} p q x^{2} + 4 \, b f^{3} g^{3} h p q x + b f^{3} g^{4} p q\right)} \sqrt{\frac{f}{f g - e h}} \log\left(\frac{f h x + 2 \, f g - e h + 2 \, {\left(f g - e h\right)} \sqrt{h x + g} \sqrt{\frac{f}{f g - e h}}}{f x + e}\right) - {\left(30 \, b f^{3} h^{3} p q x^{3} - 15 \, a f^{3} g^{3} + 45 \, a e f^{2} g^{2} h - 45 \, a e^{2} f g h^{2} + 15 \, a e^{3} h^{3} + 10 \, {\left(10 \, b f^{3} g h^{2} - b e f^{2} h^{3}\right)} p q x^{2} + 2 \, {\left(58 \, b f^{3} g^{2} h - 16 \, b e f^{2} g h^{2} + 3 \, b e^{2} f h^{3}\right)} p q x - 15 \, {\left(b f^{3} g^{3} - 3 \, b e f^{2} g^{2} h + 3 \, b e^{2} f g h^{2} - b e^{3} h^{3}\right)} p q \log\left(f x + e\right) + 2 \, {\left(23 \, b f^{3} g^{3} - 11 \, b e f^{2} g^{2} h + 3 \, b e^{2} f g h^{2}\right)} p q - 15 \, {\left(b f^{3} g^{3} - 3 \, b e f^{2} g^{2} h + 3 \, b e^{2} f g h^{2} - b e^{3} h^{3}\right)} q \log\left(d\right) - 15 \, {\left(b f^{3} g^{3} - 3 \, b e f^{2} g^{2} h + 3 \, b e^{2} f g h^{2} - b e^{3} h^{3}\right)} \log\left(c\right)\right)} \sqrt{h x + g}\right)}}{105 \, {\left(f^{3} g^{7} h - 3 \, e f^{2} g^{6} h^{2} + 3 \, e^{2} f g^{5} h^{3} - e^{3} g^{4} h^{4} + {\left(f^{3} g^{3} h^{5} - 3 \, e f^{2} g^{2} h^{6} + 3 \, e^{2} f g h^{7} - e^{3} h^{8}\right)} x^{4} + 4 \, {\left(f^{3} g^{4} h^{4} - 3 \, e f^{2} g^{3} h^{5} + 3 \, e^{2} f g^{2} h^{6} - e^{3} g h^{7}\right)} x^{3} + 6 \, {\left(f^{3} g^{5} h^{3} - 3 \, e f^{2} g^{4} h^{4} + 3 \, e^{2} f g^{3} h^{5} - e^{3} g^{2} h^{6}\right)} x^{2} + 4 \, {\left(f^{3} g^{6} h^{2} - 3 \, e f^{2} g^{5} h^{3} + 3 \, e^{2} f g^{4} h^{4} - e^{3} g^{3} h^{5}\right)} x\right)}}, -\frac{2 \, {\left(30 \, {\left(b f^{3} h^{4} p q x^{4} + 4 \, b f^{3} g h^{3} p q x^{3} + 6 \, b f^{3} g^{2} h^{2} p q x^{2} + 4 \, b f^{3} g^{3} h p q x + b f^{3} g^{4} p q\right)} \sqrt{-\frac{f}{f g - e h}} \arctan\left(-\frac{{\left(f g - e h\right)} \sqrt{h x + g} \sqrt{-\frac{f}{f g - e h}}}{f h x + f g}\right) - {\left(30 \, b f^{3} h^{3} p q x^{3} - 15 \, a f^{3} g^{3} + 45 \, a e f^{2} g^{2} h - 45 \, a e^{2} f g h^{2} + 15 \, a e^{3} h^{3} + 10 \, {\left(10 \, b f^{3} g h^{2} - b e f^{2} h^{3}\right)} p q x^{2} + 2 \, {\left(58 \, b f^{3} g^{2} h - 16 \, b e f^{2} g h^{2} + 3 \, b e^{2} f h^{3}\right)} p q x - 15 \, {\left(b f^{3} g^{3} - 3 \, b e f^{2} g^{2} h + 3 \, b e^{2} f g h^{2} - b e^{3} h^{3}\right)} p q \log\left(f x + e\right) + 2 \, {\left(23 \, b f^{3} g^{3} - 11 \, b e f^{2} g^{2} h + 3 \, b e^{2} f g h^{2}\right)} p q - 15 \, {\left(b f^{3} g^{3} - 3 \, b e f^{2} g^{2} h + 3 \, b e^{2} f g h^{2} - b e^{3} h^{3}\right)} q \log\left(d\right) - 15 \, {\left(b f^{3} g^{3} - 3 \, b e f^{2} g^{2} h + 3 \, b e^{2} f g h^{2} - b e^{3} h^{3}\right)} \log\left(c\right)\right)} \sqrt{h x + g}\right)}}{105 \, {\left(f^{3} g^{7} h - 3 \, e f^{2} g^{6} h^{2} + 3 \, e^{2} f g^{5} h^{3} - e^{3} g^{4} h^{4} + {\left(f^{3} g^{3} h^{5} - 3 \, e f^{2} g^{2} h^{6} + 3 \, e^{2} f g h^{7} - e^{3} h^{8}\right)} x^{4} + 4 \, {\left(f^{3} g^{4} h^{4} - 3 \, e f^{2} g^{3} h^{5} + 3 \, e^{2} f g^{2} h^{6} - e^{3} g h^{7}\right)} x^{3} + 6 \, {\left(f^{3} g^{5} h^{3} - 3 \, e f^{2} g^{4} h^{4} + 3 \, e^{2} f g^{3} h^{5} - e^{3} g^{2} h^{6}\right)} x^{2} + 4 \, {\left(f^{3} g^{6} h^{2} - 3 \, e f^{2} g^{5} h^{3} + 3 \, e^{2} f g^{4} h^{4} - e^{3} g^{3} h^{5}\right)} x\right)}}\right]"," ",0,"[-2/105*(15*(b*f^3*h^4*p*q*x^4 + 4*b*f^3*g*h^3*p*q*x^3 + 6*b*f^3*g^2*h^2*p*q*x^2 + 4*b*f^3*g^3*h*p*q*x + b*f^3*g^4*p*q)*sqrt(f/(f*g - e*h))*log((f*h*x + 2*f*g - e*h + 2*(f*g - e*h)*sqrt(h*x + g)*sqrt(f/(f*g - e*h)))/(f*x + e)) - (30*b*f^3*h^3*p*q*x^3 - 15*a*f^3*g^3 + 45*a*e*f^2*g^2*h - 45*a*e^2*f*g*h^2 + 15*a*e^3*h^3 + 10*(10*b*f^3*g*h^2 - b*e*f^2*h^3)*p*q*x^2 + 2*(58*b*f^3*g^2*h - 16*b*e*f^2*g*h^2 + 3*b*e^2*f*h^3)*p*q*x - 15*(b*f^3*g^3 - 3*b*e*f^2*g^2*h + 3*b*e^2*f*g*h^2 - b*e^3*h^3)*p*q*log(f*x + e) + 2*(23*b*f^3*g^3 - 11*b*e*f^2*g^2*h + 3*b*e^2*f*g*h^2)*p*q - 15*(b*f^3*g^3 - 3*b*e*f^2*g^2*h + 3*b*e^2*f*g*h^2 - b*e^3*h^3)*q*log(d) - 15*(b*f^3*g^3 - 3*b*e*f^2*g^2*h + 3*b*e^2*f*g*h^2 - b*e^3*h^3)*log(c))*sqrt(h*x + g))/(f^3*g^7*h - 3*e*f^2*g^6*h^2 + 3*e^2*f*g^5*h^3 - e^3*g^4*h^4 + (f^3*g^3*h^5 - 3*e*f^2*g^2*h^6 + 3*e^2*f*g*h^7 - e^3*h^8)*x^4 + 4*(f^3*g^4*h^4 - 3*e*f^2*g^3*h^5 + 3*e^2*f*g^2*h^6 - e^3*g*h^7)*x^3 + 6*(f^3*g^5*h^3 - 3*e*f^2*g^4*h^4 + 3*e^2*f*g^3*h^5 - e^3*g^2*h^6)*x^2 + 4*(f^3*g^6*h^2 - 3*e*f^2*g^5*h^3 + 3*e^2*f*g^4*h^4 - e^3*g^3*h^5)*x), -2/105*(30*(b*f^3*h^4*p*q*x^4 + 4*b*f^3*g*h^3*p*q*x^3 + 6*b*f^3*g^2*h^2*p*q*x^2 + 4*b*f^3*g^3*h*p*q*x + b*f^3*g^4*p*q)*sqrt(-f/(f*g - e*h))*arctan(-(f*g - e*h)*sqrt(h*x + g)*sqrt(-f/(f*g - e*h))/(f*h*x + f*g)) - (30*b*f^3*h^3*p*q*x^3 - 15*a*f^3*g^3 + 45*a*e*f^2*g^2*h - 45*a*e^2*f*g*h^2 + 15*a*e^3*h^3 + 10*(10*b*f^3*g*h^2 - b*e*f^2*h^3)*p*q*x^2 + 2*(58*b*f^3*g^2*h - 16*b*e*f^2*g*h^2 + 3*b*e^2*f*h^3)*p*q*x - 15*(b*f^3*g^3 - 3*b*e*f^2*g^2*h + 3*b*e^2*f*g*h^2 - b*e^3*h^3)*p*q*log(f*x + e) + 2*(23*b*f^3*g^3 - 11*b*e*f^2*g^2*h + 3*b*e^2*f*g*h^2)*p*q - 15*(b*f^3*g^3 - 3*b*e*f^2*g^2*h + 3*b*e^2*f*g*h^2 - b*e^3*h^3)*q*log(d) - 15*(b*f^3*g^3 - 3*b*e*f^2*g^2*h + 3*b*e^2*f*g*h^2 - b*e^3*h^3)*log(c))*sqrt(h*x + g))/(f^3*g^7*h - 3*e*f^2*g^6*h^2 + 3*e^2*f*g^5*h^3 - e^3*g^4*h^4 + (f^3*g^3*h^5 - 3*e*f^2*g^2*h^6 + 3*e^2*f*g*h^7 - e^3*h^8)*x^4 + 4*(f^3*g^4*h^4 - 3*e*f^2*g^3*h^5 + 3*e^2*f*g^2*h^6 - e^3*g*h^7)*x^3 + 6*(f^3*g^5*h^3 - 3*e*f^2*g^4*h^4 + 3*e^2*f*g^3*h^5 - e^3*g^2*h^6)*x^2 + 4*(f^3*g^6*h^2 - 3*e*f^2*g^5*h^3 + 3*e^2*f*g^4*h^4 - e^3*g^3*h^5)*x)]","B",0
489,0,0,0,0.849386," ","integrate((h*x+g)^(3/2)*(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} h x + b^{2} g\right)} \sqrt{h x + g} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, {\left(a b h x + a b g\right)} \sqrt{h x + g} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + {\left(a^{2} h x + a^{2} g\right)} \sqrt{h x + g}, x\right)"," ",0,"integral((b^2*h*x + b^2*g)*sqrt(h*x + g)*log(((f*x + e)^p*d)^q*c)^2 + 2*(a*b*h*x + a*b*g)*sqrt(h*x + g)*log(((f*x + e)^p*d)^q*c) + (a^2*h*x + a^2*g)*sqrt(h*x + g), x)","F",0
490,0,0,0,0.945238," ","integrate((h*x+g)^(1/2)*(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{h x + g} b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, \sqrt{h x + g} a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \sqrt{h x + g} a^{2}, x\right)"," ",0,"integral(sqrt(h*x + g)*b^2*log(((f*x + e)^p*d)^q*c)^2 + 2*sqrt(h*x + g)*a*b*log(((f*x + e)^p*d)^q*c) + sqrt(h*x + g)*a^2, x)","F",0
491,0,0,0,0.800842," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{h x + g} b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, \sqrt{h x + g} a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \sqrt{h x + g} a^{2}}{h x + g}, x\right)"," ",0,"integral((sqrt(h*x + g)*b^2*log(((f*x + e)^p*d)^q*c)^2 + 2*sqrt(h*x + g)*a*b*log(((f*x + e)^p*d)^q*c) + sqrt(h*x + g)*a^2)/(h*x + g), x)","F",0
492,0,0,0,0.892527," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{h x + g} b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, \sqrt{h x + g} a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \sqrt{h x + g} a^{2}}{h^{2} x^{2} + 2 \, g h x + g^{2}}, x\right)"," ",0,"integral((sqrt(h*x + g)*b^2*log(((f*x + e)^p*d)^q*c)^2 + 2*sqrt(h*x + g)*a*b*log(((f*x + e)^p*d)^q*c) + sqrt(h*x + g)*a^2)/(h^2*x^2 + 2*g*h*x + g^2), x)","F",0
493,0,0,0,0.933924," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{h x + g} b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, \sqrt{h x + g} a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \sqrt{h x + g} a^{2}}{h^{3} x^{3} + 3 \, g h^{2} x^{2} + 3 \, g^{2} h x + g^{3}}, x\right)"," ",0,"integral((sqrt(h*x + g)*b^2*log(((f*x + e)^p*d)^q*c)^2 + 2*sqrt(h*x + g)*a*b*log(((f*x + e)^p*d)^q*c) + sqrt(h*x + g)*a^2)/(h^3*x^3 + 3*g*h^2*x^2 + 3*g^2*h*x + g^3), x)","F",0
494,0,0,0,0.892941," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{h x + g} b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, \sqrt{h x + g} a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \sqrt{h x + g} a^{2}}{h^{4} x^{4} + 4 \, g h^{3} x^{3} + 6 \, g^{2} h^{2} x^{2} + 4 \, g^{3} h x + g^{4}}, x\right)"," ",0,"integral((sqrt(h*x + g)*b^2*log(((f*x + e)^p*d)^q*c)^2 + 2*sqrt(h*x + g)*a*b*log(((f*x + e)^p*d)^q*c) + sqrt(h*x + g)*a^2)/(h^4*x^4 + 4*g*h^3*x^3 + 6*g^2*h^2*x^2 + 4*g^3*h*x + g^4), x)","F",0
495,0,0,0,0.701635," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{h x + g} b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, \sqrt{h x + g} a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \sqrt{h x + g} a^{2}}{h^{5} x^{5} + 5 \, g h^{4} x^{4} + 10 \, g^{2} h^{3} x^{3} + 10 \, g^{3} h^{2} x^{2} + 5 \, g^{4} h x + g^{5}}, x\right)"," ",0,"integral((sqrt(h*x + g)*b^2*log(((f*x + e)^p*d)^q*c)^2 + 2*sqrt(h*x + g)*a*b*log(((f*x + e)^p*d)^q*c) + sqrt(h*x + g)*a^2)/(h^5*x^5 + 5*g*h^4*x^4 + 10*g^2*h^3*x^3 + 10*g^3*h^2*x^2 + 5*g^4*h*x + g^5), x)","F",0
496,0,0,0,0.876733," ","integrate((h*x+g)^(3/2)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(h x + g\right)}^{\frac{3}{2}}}{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}, x\right)"," ",0,"integral((h*x + g)^(3/2)/(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
497,0,0,0,0.876977," ","integrate((h*x+g)^(1/2)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{h x + g}}{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}, x\right)"," ",0,"integral(sqrt(h*x + g)/(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
498,0,0,0,0.806094," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{h x + g}}{a h x + a g + {\left(b h x + b g\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral(sqrt(h*x + g)/(a*h*x + a*g + (b*h*x + b*g)*log(((f*x + e)^p*d)^q*c)), x)","F",0
499,0,0,0,0.636880," ","integrate(1/(h*x+g)^(3/2)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{h x + g}}{a h^{2} x^{2} + 2 \, a g h x + a g^{2} + {\left(b h^{2} x^{2} + 2 \, b g h x + b g^{2}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral(sqrt(h*x + g)/(a*h^2*x^2 + 2*a*g*h*x + a*g^2 + (b*h^2*x^2 + 2*b*g*h*x + b*g^2)*log(((f*x + e)^p*d)^q*c)), x)","F",0
500,-2,0,0,0.000000," ","integrate((h*x+g)^(1/2)*(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
501,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(1/2)/(h*x+g)^(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
502,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(1/2)/(h*x+g)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
503,-2,0,0,0.000000," ","integrate((h*x+g)^(1/2)/(a+b*log(c*(d*(f*x+e)^p)^q))^(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
504,-2,0,0,0.000000," ","integrate(1/(h*x+g)^(1/2)/(a+b*log(c*(d*(f*x+e)^p)^q))^(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
505,-2,0,0,0.000000," ","integrate(1/(h*x+g)^(3/2)/(a+b*log(c*(d*(f*x+e)^p)^q))^(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
506,0,0,0,0.982565," ","integrate((h*x+g)^m*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","{\rm integral}\left({\left(h x + g\right)}^{m} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + {\left(h x + g\right)}^{m} a, x\right)"," ",0,"integral((h*x + g)^m*b*log(((f*x + e)^p*d)^q*c) + (h*x + g)^m*a, x)","F",0
507,0,0,0,0.903651," ","integrate((h*x+g)^m/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(h x + g\right)}^{m}}{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}, x\right)"," ",0,"integral((h*x + g)^m/(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
508,0,0,0,0.865419," ","integrate((h*x+g)^m/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(h x + g\right)}^{m}}{b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{2}}, x\right)"," ",0,"integral((h*x + g)^m/(b^2*log(((f*x + e)^p*d)^q*c)^2 + 2*a*b*log(((f*x + e)^p*d)^q*c) + a^2), x)","F",0
509,0,0,0,1.017457," ","integrate((h*x+g)^m*(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left({\left(h x + g\right)}^{m} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + {\left(h x + g\right)}^{m} a\right)} \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}, x\right)"," ",0,"integral(((h*x + g)^m*b*log(((f*x + e)^p*d)^q*c) + (h*x + g)^m*a)*sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
510,0,0,0,0.980448," ","integrate((h*x+g)^m*(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a} {\left(h x + g\right)}^{m}, x\right)"," ",0,"integral(sqrt(b*log(((f*x + e)^p*d)^q*c) + a)*(h*x + g)^m, x)","F",0
511,0,0,0,0.955181," ","integrate((h*x+g)^m/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(h x + g\right)}^{m}}{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}, x\right)"," ",0,"integral((h*x + g)^m/sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
512,0,0,0,0.859277," ","integrate((h*x+g)^m/(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a} {\left(h x + g\right)}^{m}}{b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{2}}, x\right)"," ",0,"integral(sqrt(b*log(((f*x + e)^p*d)^q*c) + a)*(h*x + g)^m/(b^2*log(((f*x + e)^p*d)^q*c)^2 + 2*a*b*log(((f*x + e)^p*d)^q*c) + a^2), x)","F",0
513,0,0,0,0.947602," ","integrate((h*x+g)^m*(a+b*log(c*(d*(f*x+e)^p)^q))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(h x + g\right)}^{m} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{n}, x\right)"," ",0,"integral((h*x + g)^m*(b*log(((f*x + e)^p*d)^q*c) + a)^n, x)","F",0
514,0,0,0,0.699003," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(h^{2} x^{2} + 2 \, g h x + g^{2}\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{n}, x\right)"," ",0,"integral((h^2*x^2 + 2*g*h*x + g^2)*(b*log(((f*x + e)^p*d)^q*c) + a)^n, x)","F",0
515,0,0,0,0.865630," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{n}, x\right)"," ",0,"integral((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)^n, x)","F",0
516,1,80,0,0.962717," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^n,x, algorithm=""fricas"")","\frac{e^{\left(-\frac{b n p q \log\left(-\frac{1}{b p q}\right) + b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)} \Gamma\left(n + 1, -\frac{b p q \log\left(f x + e\right) + b q \log\left(d\right) + b \log\left(c\right) + a}{b p q}\right)}{f}"," ",0,"e^(-(b*n*p*q*log(-1/(b*p*q)) + b*q*log(d) + b*log(c) + a)/(b*p*q))*gamma(n + 1, -(b*p*q*log(f*x + e) + b*q*log(d) + b*log(c) + a)/(b*p*q))/f","A",0
517,0,0,0,0.918321," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^n/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{n}}{h x + g}, x\right)"," ",0,"integral((b*log(((f*x + e)^p*d)^q*c) + a)^n/(h*x + g), x)","F",0
518,0,0,0,0.866521," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x^2+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{h x^{2} + g}, x\right)"," ",0,"integral((b*log(((f*x + e)^p*d)^q*c) + a)/(h*x^2 + g), x)","F",0
519,0,0,0,0.764086," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x^2+2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{h x^{2} + 2} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \sqrt{h x^{2} + 2} a}{h x^{2} + 2}, x\right)"," ",0,"integral((sqrt(h*x^2 + 2)*b*log(((f*x + e)^p*d)^q*c) + sqrt(h*x^2 + 2)*a)/(h*x^2 + 2), x)","F",0
520,0,0,0,0.812725," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x^2+g)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{h x^{2} + g} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \sqrt{h x^{2} + g} a}{h x^{2} + g}, x\right)"," ",0,"integral((sqrt(h*x^2 + g)*b*log(((f*x + e)^p*d)^q*c) + sqrt(h*x^2 + g)*a)/(h*x^2 + g), x)","F",0
521,0,0,0,0.693921," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(-h*x+2)^(1/2)/(h*x+2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{h x + 2} \sqrt{-h x + 2} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \sqrt{h x + 2} \sqrt{-h x + 2} a}{h^{2} x^{2} - 4}, x\right)"," ",0,"integral(-(sqrt(h*x + 2)*sqrt(-h*x + 2)*b*log(((f*x + e)^p*d)^q*c) + sqrt(h*x + 2)*sqrt(-h*x + 2)*a)/(h^2*x^2 - 4), x)","F",0
522,0,0,0,0.717622," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(-h*x+g)^(1/2)/(h*x+g)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{h x + g} \sqrt{-h x + g} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \sqrt{h x + g} \sqrt{-h x + g} a}{h^{2} x^{2} - g^{2}}, x\right)"," ",0,"integral(-(sqrt(h*x + g)*sqrt(-h*x + g)*b*log(((f*x + e)^p*d)^q*c) + sqrt(h*x + g)*sqrt(-h*x + g)*a)/(h^2*x^2 - g^2), x)","F",0
523,0,0,0,0.736145," ","integrate((j*x+i)^3*(a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a j^{3} x^{3} + 3 \, a i j^{2} x^{2} + 3 \, a i^{2} j x + a i^{3} + {\left(b j^{3} x^{3} + 3 \, b i j^{2} x^{2} + 3 \, b i^{2} j x + b i^{3}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{h x + g}, x\right)"," ",0,"integral((a*j^3*x^3 + 3*a*i*j^2*x^2 + 3*a*i^2*j*x + a*i^3 + (b*j^3*x^3 + 3*b*i*j^2*x^2 + 3*b*i^2*j*x + b*i^3)*log(((f*x + e)^p*d)^q*c))/(h*x + g), x)","F",0
524,0,0,0,0.782095," ","integrate((j*x+i)^2*(a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a j^{2} x^{2} + 2 \, a i j x + a i^{2} + {\left(b j^{2} x^{2} + 2 \, b i j x + b i^{2}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{h x + g}, x\right)"," ",0,"integral((a*j^2*x^2 + 2*a*i*j*x + a*i^2 + (b*j^2*x^2 + 2*b*i*j*x + b*i^2)*log(((f*x + e)^p*d)^q*c))/(h*x + g), x)","F",0
525,0,0,0,0.726799," ","integrate((j*x+i)*(a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a j x + a i + {\left(b j x + b i\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{h x + g}, x\right)"," ",0,"integral((a*j*x + a*i + (b*j*x + b*i)*log(((f*x + e)^p*d)^q*c))/(h*x + g), x)","F",0
526,0,0,0,0.646663," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{h x + g}, x\right)"," ",0,"integral((b*log(((f*x + e)^p*d)^q*c) + a)/(h*x + g), x)","F",0
527,0,0,0,0.833348," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)/(j*x+i),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{h j x^{2} + g i + {\left(h i + g j\right)} x}, x\right)"," ",0,"integral((b*log(((f*x + e)^p*d)^q*c) + a)/(h*j*x^2 + g*i + (h*i + g*j)*x), x)","F",0
528,0,0,0,0.616832," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)/(j*x+i)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{h j^{2} x^{3} + g i^{2} + {\left(2 \, h i j + g j^{2}\right)} x^{2} + {\left(h i^{2} + 2 \, g i j\right)} x}, x\right)"," ",0,"integral((b*log(((f*x + e)^p*d)^q*c) + a)/(h*j^2*x^3 + g*i^2 + (2*h*i*j + g*j^2)*x^2 + (h*i^2 + 2*g*i*j)*x), x)","F",0
529,0,0,0,0.696606," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)/(j*x+i)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{h j^{3} x^{4} + g i^{3} + {\left(3 \, h i j^{2} + g j^{3}\right)} x^{3} + 3 \, {\left(h i^{2} j + g i j^{2}\right)} x^{2} + {\left(h i^{3} + 3 \, g i^{2} j\right)} x}, x\right)"," ",0,"integral((b*log(((f*x + e)^p*d)^q*c) + a)/(h*j^3*x^4 + g*i^3 + (3*h*i*j^2 + g*j^3)*x^3 + 3*(h*i^2*j + g*i*j^2)*x^2 + (h*i^3 + 3*g*i^2*j)*x), x)","F",0
530,0,0,0,0.590538," ","integrate((j*x+i)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} j^{2} x^{2} + 2 \, a^{2} i j x + a^{2} i^{2} + {\left(b^{2} j^{2} x^{2} + 2 \, b^{2} i j x + b^{2} i^{2}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, {\left(a b j^{2} x^{2} + 2 \, a b i j x + a b i^{2}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{h x + g}, x\right)"," ",0,"integral((a^2*j^2*x^2 + 2*a^2*i*j*x + a^2*i^2 + (b^2*j^2*x^2 + 2*b^2*i*j*x + b^2*i^2)*log(((f*x + e)^p*d)^q*c)^2 + 2*(a*b*j^2*x^2 + 2*a*b*i*j*x + a*b*i^2)*log(((f*x + e)^p*d)^q*c))/(h*x + g), x)","F",0
531,0,0,0,0.950855," ","integrate((j*x+i)*(a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} j x + a^{2} i + {\left(b^{2} j x + b^{2} i\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, {\left(a b j x + a b i\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{h x + g}, x\right)"," ",0,"integral((a^2*j*x + a^2*i + (b^2*j*x + b^2*i)*log(((f*x + e)^p*d)^q*c)^2 + 2*(a*b*j*x + a*b*i)*log(((f*x + e)^p*d)^q*c))/(h*x + g), x)","F",0
532,0,0,0,0.729437," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{2}}{h x + g}, x\right)"," ",0,"integral((b^2*log(((f*x + e)^p*d)^q*c)^2 + 2*a*b*log(((f*x + e)^p*d)^q*c) + a^2)/(h*x + g), x)","F",0
533,0,0,0,0.718039," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)/(j*x+i),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{2}}{h j x^{2} + g i + {\left(h i + g j\right)} x}, x\right)"," ",0,"integral((b^2*log(((f*x + e)^p*d)^q*c)^2 + 2*a*b*log(((f*x + e)^p*d)^q*c) + a^2)/(h*j*x^2 + g*i + (h*i + g*j)*x), x)","F",0
534,0,0,0,0.839428," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)/(j*x+i)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{2}}{h j^{2} x^{3} + g i^{2} + {\left(2 \, h i j + g j^{2}\right)} x^{2} + {\left(h i^{2} + 2 \, g i j\right)} x}, x\right)"," ",0,"integral((b^2*log(((f*x + e)^p*d)^q*c)^2 + 2*a*b*log(((f*x + e)^p*d)^q*c) + a^2)/(h*j^2*x^3 + g*i^2 + (2*h*i*j + g*j^2)*x^2 + (h*i^2 + 2*g*i*j)*x), x)","F",0
535,0,0,0,0.825872," ","integrate((j*x+i)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{3} j^{2} x^{2} + 2 \, a^{3} i j x + a^{3} i^{2} + {\left(b^{3} j^{2} x^{2} + 2 \, b^{3} i j x + b^{3} i^{2}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + 3 \, {\left(a b^{2} j^{2} x^{2} + 2 \, a b^{2} i j x + a b^{2} i^{2}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 3 \, {\left(a^{2} b j^{2} x^{2} + 2 \, a^{2} b i j x + a^{2} b i^{2}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{h x + g}, x\right)"," ",0,"integral((a^3*j^2*x^2 + 2*a^3*i*j*x + a^3*i^2 + (b^3*j^2*x^2 + 2*b^3*i*j*x + b^3*i^2)*log(((f*x + e)^p*d)^q*c)^3 + 3*(a*b^2*j^2*x^2 + 2*a*b^2*i*j*x + a*b^2*i^2)*log(((f*x + e)^p*d)^q*c)^2 + 3*(a^2*b*j^2*x^2 + 2*a^2*b*i*j*x + a^2*b*i^2)*log(((f*x + e)^p*d)^q*c))/(h*x + g), x)","F",0
536,0,0,0,0.864557," ","integrate((j*x+i)*(a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{3} j x + a^{3} i + {\left(b^{3} j x + b^{3} i\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + 3 \, {\left(a b^{2} j x + a b^{2} i\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 3 \, {\left(a^{2} b j x + a^{2} b i\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{h x + g}, x\right)"," ",0,"integral((a^3*j*x + a^3*i + (b^3*j*x + b^3*i)*log(((f*x + e)^p*d)^q*c)^3 + 3*(a*b^2*j*x + a*b^2*i)*log(((f*x + e)^p*d)^q*c)^2 + 3*(a^2*b*j*x + a^2*b*i)*log(((f*x + e)^p*d)^q*c))/(h*x + g), x)","F",0
537,0,0,0,0.925194," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + 3 \, a b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 3 \, a^{2} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{3}}{h x + g}, x\right)"," ",0,"integral((b^3*log(((f*x + e)^p*d)^q*c)^3 + 3*a*b^2*log(((f*x + e)^p*d)^q*c)^2 + 3*a^2*b*log(((f*x + e)^p*d)^q*c) + a^3)/(h*x + g), x)","F",0
538,0,0,0,0.953547," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g)/(j*x+i),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + 3 \, a b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 3 \, a^{2} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{3}}{h j x^{2} + g i + {\left(h i + g j\right)} x}, x\right)"," ",0,"integral((b^3*log(((f*x + e)^p*d)^q*c)^3 + 3*a*b^2*log(((f*x + e)^p*d)^q*c)^2 + 3*a^2*b*log(((f*x + e)^p*d)^q*c) + a^3)/(h*j*x^2 + g*i + (h*i + g*j)*x), x)","F",0
539,0,0,0,0.912535," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g)/(j*x+i)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + 3 \, a b^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 3 \, a^{2} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a^{3}}{h j^{2} x^{3} + g i^{2} + {\left(2 \, h i j + g j^{2}\right)} x^{2} + {\left(h i^{2} + 2 \, g i j\right)} x}, x\right)"," ",0,"integral((b^3*log(((f*x + e)^p*d)^q*c)^3 + 3*a*b^2*log(((f*x + e)^p*d)^q*c)^2 + 3*a^2*b*log(((f*x + e)^p*d)^q*c) + a^3)/(h*j^2*x^3 + g*i^2 + (2*h*i*j + g*j^2)*x^2 + (h*i^2 + 2*g*i*j)*x), x)","F",0
540,0,0,0,0.867868," ","integrate((j*x+i)/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{j x + i}{a h x + a g + {\left(b h x + b g\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral((j*x + i)/(a*h*x + a*g + (b*h*x + b*g)*log(((f*x + e)^p*d)^q*c)), x)","F",0
541,0,0,0,0.902525," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a h x + a g + {\left(b h x + b g\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral(1/(a*h*x + a*g + (b*h*x + b*g)*log(((f*x + e)^p*d)^q*c)), x)","F",0
542,0,0,0,0.852097," ","integrate(1/(h*x+g)/(j*x+i)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a h j x^{2} + a g i + {\left(a h i + a g j\right)} x + {\left(b h j x^{2} + b g i + {\left(b h i + b g j\right)} x\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral(1/(a*h*j*x^2 + a*g*i + (a*h*i + a*g*j)*x + (b*h*j*x^2 + b*g*i + (b*h*i + b*g*j)*x)*log(((f*x + e)^p*d)^q*c)), x)","F",0
543,0,0,0,0.765790," ","integrate(1/(h*x+g)/(j*x+i)^2/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a h j^{2} x^{3} + a g i^{2} + {\left(2 \, a h i j + a g j^{2}\right)} x^{2} + {\left(a h i^{2} + 2 \, a g i j\right)} x + {\left(b h j^{2} x^{3} + b g i^{2} + {\left(2 \, b h i j + b g j^{2}\right)} x^{2} + {\left(b h i^{2} + 2 \, b g i j\right)} x\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral(1/(a*h*j^2*x^3 + a*g*i^2 + (2*a*h*i*j + a*g*j^2)*x^2 + (a*h*i^2 + 2*a*g*i*j)*x + (b*h*j^2*x^3 + b*g*i^2 + (2*b*h*i*j + b*g*j^2)*x^2 + (b*h*i^2 + 2*b*g*i*j)*x)*log(((f*x + e)^p*d)^q*c)), x)","F",0
544,0,0,0,0.899171," ","integrate((j*x+i)/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{j x + i}{a^{2} h x + a^{2} g + {\left(b^{2} h x + b^{2} g\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, {\left(a b h x + a b g\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral((j*x + i)/(a^2*h*x + a^2*g + (b^2*h*x + b^2*g)*log(((f*x + e)^p*d)^q*c)^2 + 2*(a*b*h*x + a*b*g)*log(((f*x + e)^p*d)^q*c)), x)","F",0
545,0,0,0,0.887546," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} h x + a^{2} g + {\left(b^{2} h x + b^{2} g\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, {\left(a b h x + a b g\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral(1/(a^2*h*x + a^2*g + (b^2*h*x + b^2*g)*log(((f*x + e)^p*d)^q*c)^2 + 2*(a*b*h*x + a*b*g)*log(((f*x + e)^p*d)^q*c)), x)","F",0
546,0,0,0,0.868739," ","integrate(1/(h*x+g)/(j*x+i)/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} h j x^{2} + a^{2} g i + {\left(b^{2} h j x^{2} + b^{2} g i + {\left(b^{2} h i + b^{2} g j\right)} x\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + {\left(a^{2} h i + a^{2} g j\right)} x + 2 \, {\left(a b h j x^{2} + a b g i + {\left(a b h i + a b g j\right)} x\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral(1/(a^2*h*j*x^2 + a^2*g*i + (b^2*h*j*x^2 + b^2*g*i + (b^2*h*i + b^2*g*j)*x)*log(((f*x + e)^p*d)^q*c)^2 + (a^2*h*i + a^2*g*j)*x + 2*(a*b*h*j*x^2 + a*b*g*i + (a*b*h*i + a*b*g*j)*x)*log(((f*x + e)^p*d)^q*c)), x)","F",0
547,0,0,0,0.979614," ","integrate(1/(h*x+g)/(j*x+i)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} h j^{2} x^{3} + a^{2} g i^{2} + {\left(2 \, a^{2} h i j + a^{2} g j^{2}\right)} x^{2} + {\left(b^{2} h j^{2} x^{3} + b^{2} g i^{2} + {\left(2 \, b^{2} h i j + b^{2} g j^{2}\right)} x^{2} + {\left(b^{2} h i^{2} + 2 \, b^{2} g i j\right)} x\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + {\left(a^{2} h i^{2} + 2 \, a^{2} g i j\right)} x + 2 \, {\left(a b h j^{2} x^{3} + a b g i^{2} + {\left(2 \, a b h i j + a b g j^{2}\right)} x^{2} + {\left(a b h i^{2} + 2 \, a b g i j\right)} x\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}, x\right)"," ",0,"integral(1/(a^2*h*j^2*x^3 + a^2*g*i^2 + (2*a^2*h*i*j + a^2*g*j^2)*x^2 + (b^2*h*j^2*x^3 + b^2*g*i^2 + (2*b^2*h*i*j + b^2*g*j^2)*x^2 + (b^2*h*i^2 + 2*b^2*g*i*j)*x)*log(((f*x + e)^p*d)^q*c)^2 + (a^2*h*i^2 + 2*a^2*g*i*j)*x + 2*(a*b*h*j^2*x^3 + a*b*g*i^2 + (2*a*b*h*i*j + a*b*g*j^2)*x^2 + (a*b*h*i^2 + 2*a*b*g*i*j)*x)*log(((f*x + e)^p*d)^q*c)), x)","F",0
