1,0,0,0,1.368061," ","integrate(log(c*x^n)^(-1+q)*(a*x^m+b*log(c*x^n)^q)^p/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)}^{p} \log\left(c x^{n}\right)^{q - 1}}{x}, x\right)"," ",0,"integral((a*x^m + b*log(c*x^n)^q)^p*log(c*x^n)^(q - 1)/x, x)","F",0
2,0,0,0,0.884376," ","integrate(log(c*x^n)^(-1+q)*(a*x^m+b*log(c*x^n)^q)^3/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{3 \, a b^{2} x^{m} \log\left(c x^{n}\right)^{2 \, q} \log\left(c x^{n}\right)^{q - 1} + 3 \, a^{2} b x^{2 \, m} \log\left(c x^{n}\right)^{q - 1} \log\left(c x^{n}\right)^{q} + a^{3} x^{3 \, m} \log\left(c x^{n}\right)^{q - 1} + b^{3} \log\left(c x^{n}\right)^{3 \, q} \log\left(c x^{n}\right)^{q - 1}}{x}, x\right)"," ",0,"integral((3*a*b^2*x^m*log(c*x^n)^(2*q)*log(c*x^n)^(q - 1) + 3*a^2*b*x^(2*m)*log(c*x^n)^(q - 1)*log(c*x^n)^q + a^3*x^(3*m)*log(c*x^n)^(q - 1) + b^3*log(c*x^n)^(3*q)*log(c*x^n)^(q - 1))/x, x)","F",0
3,0,0,0,1.317133," ","integrate(log(c*x^n)^(-1+q)*(a*x^m+b*log(c*x^n)^q)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{2 \, a b x^{m} \log\left(c x^{n}\right)^{q - 1} \log\left(c x^{n}\right)^{q} + a^{2} x^{2 \, m} \log\left(c x^{n}\right)^{q - 1} + b^{2} \log\left(c x^{n}\right)^{2 \, q} \log\left(c x^{n}\right)^{q - 1}}{x}, x\right)"," ",0,"integral((2*a*b*x^m*log(c*x^n)^(q - 1)*log(c*x^n)^q + a^2*x^(2*m)*log(c*x^n)^(q - 1) + b^2*log(c*x^n)^(2*q)*log(c*x^n)^(q - 1))/x, x)","F",0
4,0,0,0,0.890111," ","integrate(log(c*x^n)^(-1+q)*(a*x^m+b*log(c*x^n)^q)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a x^{m} \log\left(c x^{n}\right)^{q - 1} + b \log\left(c x^{n}\right)^{q - 1} \log\left(c x^{n}\right)^{q}}{x}, x\right)"," ",0,"integral((a*x^m*log(c*x^n)^(q - 1) + b*log(c*x^n)^(q - 1)*log(c*x^n)^q)/x, x)","F",0
5,1,25,0,1.223810," ","integrate(log(c*x^n)^(-1+q)/x,x, algorithm=""fricas"")","\frac{{\left(n \log\left(x\right) + \log\left(c\right)\right)} {\left(n \log\left(x\right) + \log\left(c\right)\right)}^{q - 1}}{n q}"," ",0,"(n*log(x) + log(c))*(n*log(x) + log(c))^(q - 1)/(n*q)","A",0
6,0,0,0,0.942531," ","integrate(log(c*x^n)^(-1+q)/x/(a*x^m+b*log(c*x^n)^q),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(c x^{n}\right)^{q - 1}}{a x x^{m} + b x \log\left(c x^{n}\right)^{q}}, x\right)"," ",0,"integral(log(c*x^n)^(q - 1)/(a*x*x^m + b*x*log(c*x^n)^q), x)","F",0
7,0,0,0,1.261268," ","integrate(log(c*x^n)^(-1+q)/x/(a*x^m+b*log(c*x^n)^q)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(c x^{n}\right)^{q - 1}}{2 \, a b x x^{m} \log\left(c x^{n}\right)^{q} + a^{2} x x^{2 \, m} + b^{2} x \log\left(c x^{n}\right)^{2 \, q}}, x\right)"," ",0,"integral(log(c*x^n)^(q - 1)/(2*a*b*x*x^m*log(c*x^n)^q + a^2*x*x^(2*m) + b^2*x*log(c*x^n)^(2*q)), x)","F",0
8,0,0,0,3.478419," ","integrate(log(c*x^n)^(-1+q)/x/(a*x^m+b*log(c*x^n)^q)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(c x^{n}\right)^{q - 1}}{3 \, a b^{2} x x^{m} \log\left(c x^{n}\right)^{2 \, q} + 3 \, a^{2} b x x^{2 \, m} \log\left(c x^{n}\right)^{q} + a^{3} x x^{3 \, m} + b^{3} x \log\left(c x^{n}\right)^{3 \, q}}, x\right)"," ",0,"integral(log(c*x^n)^(q - 1)/(3*a*b^2*x*x^m*log(c*x^n)^(2*q) + 3*a^2*b*x*x^(2*m)*log(c*x^n)^q + a^3*x*x^(3*m) + b^3*x*log(c*x^n)^(3*q)), x)","F",0
9,1,655,0,1.217154," ","integrate(log(c*x^n)*(a*x^m+b*log(c*x^n)^2)^3/x,x, algorithm=""fricas"")","\frac{9 \, b^{3} m^{6} n^{7} \log\left(x\right)^{8} + 72 \, b^{3} m^{6} n^{6} \log\left(c\right) \log\left(x\right)^{7} + 252 \, b^{3} m^{6} n^{5} \log\left(c\right)^{2} \log\left(x\right)^{6} + 504 \, b^{3} m^{6} n^{4} \log\left(c\right)^{3} \log\left(x\right)^{5} + 630 \, b^{3} m^{6} n^{3} \log\left(c\right)^{4} \log\left(x\right)^{4} + 504 \, b^{3} m^{6} n^{2} \log\left(c\right)^{5} \log\left(x\right)^{3} + 252 \, b^{3} m^{6} n \log\left(c\right)^{6} \log\left(x\right)^{2} + 72 \, b^{3} m^{6} \log\left(c\right)^{7} \log\left(x\right) + 8 \, {\left(3 \, a^{3} m^{5} n \log\left(x\right) + 3 \, a^{3} m^{5} \log\left(c\right) - a^{3} m^{4} n\right)} x^{3 \, m} + 27 \, {\left(4 \, a^{2} b m^{5} n^{3} \log\left(x\right)^{3} + 4 \, a^{2} b m^{5} \log\left(c\right)^{3} - 6 \, a^{2} b m^{4} n \log\left(c\right)^{2} + 6 \, a^{2} b m^{3} n^{2} \log\left(c\right) - 3 \, a^{2} b m^{2} n^{3} + 6 \, {\left(2 \, a^{2} b m^{5} n^{2} \log\left(c\right) - a^{2} b m^{4} n^{3}\right)} \log\left(x\right)^{2} + 6 \, {\left(2 \, a^{2} b m^{5} n \log\left(c\right)^{2} - 2 \, a^{2} b m^{4} n^{2} \log\left(c\right) + a^{2} b m^{3} n^{3}\right)} \log\left(x\right)\right)} x^{2 \, m} + 216 \, {\left(a b^{2} m^{5} n^{5} \log\left(x\right)^{5} + a b^{2} m^{5} \log\left(c\right)^{5} - 5 \, a b^{2} m^{4} n \log\left(c\right)^{4} + 20 \, a b^{2} m^{3} n^{2} \log\left(c\right)^{3} - 60 \, a b^{2} m^{2} n^{3} \log\left(c\right)^{2} + 120 \, a b^{2} m n^{4} \log\left(c\right) - 120 \, a b^{2} n^{5} + 5 \, {\left(a b^{2} m^{5} n^{4} \log\left(c\right) - a b^{2} m^{4} n^{5}\right)} \log\left(x\right)^{4} + 10 \, {\left(a b^{2} m^{5} n^{3} \log\left(c\right)^{2} - 2 \, a b^{2} m^{4} n^{4} \log\left(c\right) + 2 \, a b^{2} m^{3} n^{5}\right)} \log\left(x\right)^{3} + 10 \, {\left(a b^{2} m^{5} n^{2} \log\left(c\right)^{3} - 3 \, a b^{2} m^{4} n^{3} \log\left(c\right)^{2} + 6 \, a b^{2} m^{3} n^{4} \log\left(c\right) - 6 \, a b^{2} m^{2} n^{5}\right)} \log\left(x\right)^{2} + 5 \, {\left(a b^{2} m^{5} n \log\left(c\right)^{4} - 4 \, a b^{2} m^{4} n^{2} \log\left(c\right)^{3} + 12 \, a b^{2} m^{3} n^{3} \log\left(c\right)^{2} - 24 \, a b^{2} m^{2} n^{4} \log\left(c\right) + 24 \, a b^{2} m n^{5}\right)} \log\left(x\right)\right)} x^{m}}{72 \, m^{6}}"," ",0,"1/72*(9*b^3*m^6*n^7*log(x)^8 + 72*b^3*m^6*n^6*log(c)*log(x)^7 + 252*b^3*m^6*n^5*log(c)^2*log(x)^6 + 504*b^3*m^6*n^4*log(c)^3*log(x)^5 + 630*b^3*m^6*n^3*log(c)^4*log(x)^4 + 504*b^3*m^6*n^2*log(c)^5*log(x)^3 + 252*b^3*m^6*n*log(c)^6*log(x)^2 + 72*b^3*m^6*log(c)^7*log(x) + 8*(3*a^3*m^5*n*log(x) + 3*a^3*m^5*log(c) - a^3*m^4*n)*x^(3*m) + 27*(4*a^2*b*m^5*n^3*log(x)^3 + 4*a^2*b*m^5*log(c)^3 - 6*a^2*b*m^4*n*log(c)^2 + 6*a^2*b*m^3*n^2*log(c) - 3*a^2*b*m^2*n^3 + 6*(2*a^2*b*m^5*n^2*log(c) - a^2*b*m^4*n^3)*log(x)^2 + 6*(2*a^2*b*m^5*n*log(c)^2 - 2*a^2*b*m^4*n^2*log(c) + a^2*b*m^3*n^3)*log(x))*x^(2*m) + 216*(a*b^2*m^5*n^5*log(x)^5 + a*b^2*m^5*log(c)^5 - 5*a*b^2*m^4*n*log(c)^4 + 20*a*b^2*m^3*n^2*log(c)^3 - 60*a*b^2*m^2*n^3*log(c)^2 + 120*a*b^2*m*n^4*log(c) - 120*a*b^2*n^5 + 5*(a*b^2*m^5*n^4*log(c) - a*b^2*m^4*n^5)*log(x)^4 + 10*(a*b^2*m^5*n^3*log(c)^2 - 2*a*b^2*m^4*n^4*log(c) + 2*a*b^2*m^3*n^5)*log(x)^3 + 10*(a*b^2*m^5*n^2*log(c)^3 - 3*a*b^2*m^4*n^3*log(c)^2 + 6*a*b^2*m^3*n^4*log(c) - 6*a*b^2*m^2*n^5)*log(x)^2 + 5*(a*b^2*m^5*n*log(c)^4 - 4*a*b^2*m^4*n^2*log(c)^3 + 12*a*b^2*m^3*n^3*log(c)^2 - 24*a*b^2*m^2*n^4*log(c) + 24*a*b^2*m*n^5)*log(x))*x^m)/m^6","B",0
10,1,267,0,1.290863," ","integrate(log(c*x^n)*(a*x^m+b*log(c*x^n)^2)^2/x,x, algorithm=""fricas"")","\frac{2 \, b^{2} m^{4} n^{5} \log\left(x\right)^{6} + 12 \, b^{2} m^{4} n^{4} \log\left(c\right) \log\left(x\right)^{5} + 30 \, b^{2} m^{4} n^{3} \log\left(c\right)^{2} \log\left(x\right)^{4} + 40 \, b^{2} m^{4} n^{2} \log\left(c\right)^{3} \log\left(x\right)^{3} + 30 \, b^{2} m^{4} n \log\left(c\right)^{4} \log\left(x\right)^{2} + 12 \, b^{2} m^{4} \log\left(c\right)^{5} \log\left(x\right) + 3 \, {\left(2 \, a^{2} m^{3} n \log\left(x\right) + 2 \, a^{2} m^{3} \log\left(c\right) - a^{2} m^{2} n\right)} x^{2 \, m} + 24 \, {\left(a b m^{3} n^{3} \log\left(x\right)^{3} + a b m^{3} \log\left(c\right)^{3} - 3 \, a b m^{2} n \log\left(c\right)^{2} + 6 \, a b m n^{2} \log\left(c\right) - 6 \, a b n^{3} + 3 \, {\left(a b m^{3} n^{2} \log\left(c\right) - a b m^{2} n^{3}\right)} \log\left(x\right)^{2} + 3 \, {\left(a b m^{3} n \log\left(c\right)^{2} - 2 \, a b m^{2} n^{2} \log\left(c\right) + 2 \, a b m n^{3}\right)} \log\left(x\right)\right)} x^{m}}{12 \, m^{4}}"," ",0,"1/12*(2*b^2*m^4*n^5*log(x)^6 + 12*b^2*m^4*n^4*log(c)*log(x)^5 + 30*b^2*m^4*n^3*log(c)^2*log(x)^4 + 40*b^2*m^4*n^2*log(c)^3*log(x)^3 + 30*b^2*m^4*n*log(c)^4*log(x)^2 + 12*b^2*m^4*log(c)^5*log(x) + 3*(2*a^2*m^3*n*log(x) + 2*a^2*m^3*log(c) - a^2*m^2*n)*x^(2*m) + 24*(a*b*m^3*n^3*log(x)^3 + a*b*m^3*log(c)^3 - 3*a*b*m^2*n*log(c)^2 + 6*a*b*m*n^2*log(c) - 6*a*b*n^3 + 3*(a*b*m^3*n^2*log(c) - a*b*m^2*n^3)*log(x)^2 + 3*(a*b*m^3*n*log(c)^2 - 2*a*b*m^2*n^2*log(c) + 2*a*b*m*n^3)*log(x))*x^m)/m^4","B",0
11,1,81,0,0.902185," ","integrate(log(c*x^n)*(a*x^m+b*log(c*x^n)^2)/x,x, algorithm=""fricas"")","\frac{b m^{2} n^{3} \log\left(x\right)^{4} + 4 \, b m^{2} n^{2} \log\left(c\right) \log\left(x\right)^{3} + 6 \, b m^{2} n \log\left(c\right)^{2} \log\left(x\right)^{2} + 4 \, b m^{2} \log\left(c\right)^{3} \log\left(x\right) + 4 \, {\left(a m n \log\left(x\right) + a m \log\left(c\right) - a n\right)} x^{m}}{4 \, m^{2}}"," ",0,"1/4*(b*m^2*n^3*log(x)^4 + 4*b*m^2*n^2*log(c)*log(x)^3 + 6*b*m^2*n*log(c)^2*log(x)^2 + 4*b*m^2*log(c)^3*log(x) + 4*(a*m*n*log(x) + a*m*log(c) - a*n)*x^m)/m^2","B",0
12,1,13,0,1.320474," ","integrate(log(c*x^n)/x,x, algorithm=""fricas"")","\frac{1}{2} \, n \log\left(x\right)^{2} + \log\left(c\right) \log\left(x\right)"," ",0,"1/2*n*log(x)^2 + log(c)*log(x)","A",0
13,0,0,0,1.231689," ","integrate(log(c*x^n)/x/(a*x^m+b*log(c*x^n)^2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(c x^{n}\right)}{b x \log\left(c x^{n}\right)^{2} + a x x^{m}}, x\right)"," ",0,"integral(log(c*x^n)/(b*x*log(c*x^n)^2 + a*x*x^m), x)","F",0
14,0,0,0,1.551639," ","integrate(log(c*x^n)/x/(a*x^m+b*log(c*x^n)^2)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(c x^{n}\right)}{b^{2} x \log\left(c x^{n}\right)^{4} + 2 \, a b x x^{m} \log\left(c x^{n}\right)^{2} + a^{2} x x^{2 \, m}}, x\right)"," ",0,"integral(log(c*x^n)/(b^2*x*log(c*x^n)^4 + 2*a*b*x*x^m*log(c*x^n)^2 + a^2*x*x^(2*m)), x)","F",0
15,0,0,0,1.806211," ","integrate(log(c*x^n)/x/(a*x^m+b*log(c*x^n)^2)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(c x^{n}\right)}{b^{3} x \log\left(c x^{n}\right)^{6} + 3 \, a b^{2} x x^{m} \log\left(c x^{n}\right)^{4} + 3 \, a^{2} b x x^{2 \, m} \log\left(c x^{n}\right)^{2} + a^{3} x x^{3 \, m}}, x\right)"," ",0,"integral(log(c*x^n)/(b^3*x*log(c*x^n)^6 + 3*a*b^2*x*x^m*log(c*x^n)^4 + 3*a^2*b*x*x^(2*m)*log(c*x^n)^2 + a^3*x*x^(3*m)), x)","F",0
16,1,42,0,1.044520," ","integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)^p/x,x, algorithm=""fricas"")","\frac{{\left({\left(n \log\left(x\right) + \log\left(c\right)\right)}^{q} b + a x^{m}\right)} {\left({\left(n \log\left(x\right) + \log\left(c\right)\right)}^{q} b + a x^{m}\right)}^{p}}{p + 1}"," ",0,"((n*log(x) + log(c))^q*b + a*x^m)*((n*log(x) + log(c))^q*b + a*x^m)^p/(p + 1)","A",0
17,1,65,0,0.757624," ","integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)^2/x,x, algorithm=""fricas"")","{\left(n \log\left(x\right) + \log\left(c\right)\right)}^{q} a^{2} b x^{2 \, m} + {\left(n \log\left(x\right) + \log\left(c\right)\right)}^{2 \, q} a b^{2} x^{m} + \frac{1}{3} \, {\left(n \log\left(x\right) + \log\left(c\right)\right)}^{3 \, q} b^{3} + \frac{1}{3} \, a^{3} x^{3 \, m}"," ",0,"(n*log(x) + log(c))^q*a^2*b*x^(2*m) + (n*log(x) + log(c))^(2*q)*a*b^2*x^m + 1/3*(n*log(x) + log(c))^(3*q)*b^3 + 1/3*a^3*x^(3*m)","B",0
18,1,42,0,1.338393," ","integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)/x,x, algorithm=""fricas"")","{\left(n \log\left(x\right) + \log\left(c\right)\right)}^{q} a b x^{m} + \frac{1}{2} \, {\left(n \log\left(x\right) + \log\left(c\right)\right)}^{2 \, q} b^{2} + \frac{1}{2} \, a^{2} x^{2 \, m}"," ",0,"(n*log(x) + log(c))^q*a*b*x^m + 1/2*(n*log(x) + log(c))^(2*q)*b^2 + 1/2*a^2*x^(2*m)","B",0
19,1,28,0,1.162464," ","integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))/x,x, algorithm=""fricas"")","{\left(b n \log\left(x\right) + b \log\left(c\right)\right)} {\left(n \log\left(x\right) + \log\left(c\right)\right)}^{q - 1} + a x^{m}"," ",0,"(b*n*log(x) + b*log(c))*(n*log(x) + log(c))^(q - 1) + a*x^m","A",0
20,1,18,0,0.822937," ","integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))/x/(a*x^m+b*log(c*x^n)^q),x, algorithm=""fricas"")","\log\left({\left(n \log\left(x\right) + \log\left(c\right)\right)}^{q} b + a x^{m}\right)"," ",0,"log((n*log(x) + log(c))^q*b + a*x^m)","A",0
21,1,21,0,1.075577," ","integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))/x/(a*x^m+b*log(c*x^n)^q)^2,x, algorithm=""fricas"")","-\frac{1}{{\left(n \log\left(x\right) + \log\left(c\right)\right)}^{q} b + a x^{m}}"," ",0,"-1/((n*log(x) + log(c))^q*b + a*x^m)","A",0
22,1,45,0,1.216804," ","integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))/x/(a*x^m+b*log(c*x^n)^q)^3,x, algorithm=""fricas"")","-\frac{1}{2 \, {\left(2 \, {\left(n \log\left(x\right) + \log\left(c\right)\right)}^{q} a b x^{m} + {\left(n \log\left(x\right) + \log\left(c\right)\right)}^{2 \, q} b^{2} + a^{2} x^{2 \, m}\right)}}"," ",0,"-1/2/(2*(n*log(x) + log(c))^q*a*b*x^m + (n*log(x) + log(c))^(2*q)*b^2 + a^2*x^(2*m))","B",0
23,1,195,0,1.117537," ","integrate((a/x^2+2*b*n*log(c*x^n)/x^3)*(a*x^2+b*x*log(c*x^n)^2)^2,x, algorithm=""fricas"")","\frac{1}{3} \, b^{3} n^{6} \log\left(x\right)^{6} + 2 \, b^{3} n^{5} \log\left(c\right) \log\left(x\right)^{5} + a b^{2} x \log\left(c\right)^{4} + a^{2} b x^{2} \log\left(c\right)^{2} + \frac{1}{3} \, a^{3} x^{3} + {\left(5 \, b^{3} n^{4} \log\left(c\right)^{2} + a b^{2} n^{4} x\right)} \log\left(x\right)^{4} + \frac{4}{3} \, {\left(5 \, b^{3} n^{3} \log\left(c\right)^{3} + 3 \, a b^{2} n^{3} x \log\left(c\right)\right)} \log\left(x\right)^{3} + {\left(5 \, b^{3} n^{2} \log\left(c\right)^{4} + 6 \, a b^{2} n^{2} x \log\left(c\right)^{2} + a^{2} b n^{2} x^{2}\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{3} n \log\left(c\right)^{5} + 2 \, a b^{2} n x \log\left(c\right)^{3} + a^{2} b n x^{2} \log\left(c\right)\right)} \log\left(x\right)"," ",0,"1/3*b^3*n^6*log(x)^6 + 2*b^3*n^5*log(c)*log(x)^5 + a*b^2*x*log(c)^4 + a^2*b*x^2*log(c)^2 + 1/3*a^3*x^3 + (5*b^3*n^4*log(c)^2 + a*b^2*n^4*x)*log(x)^4 + 4/3*(5*b^3*n^3*log(c)^3 + 3*a*b^2*n^3*x*log(c))*log(x)^3 + (5*b^3*n^2*log(c)^4 + 6*a*b^2*n^2*x*log(c)^2 + a^2*b*n^2*x^2)*log(x)^2 + 2*(b^3*n*log(c)^5 + 2*a*b^2*n*x*log(c)^3 + a^2*b*n*x^2*log(c))*log(x)","B",0
24,1,89,0,1.156823," ","integrate((a/x+2*b*n*log(c*x^n)/x^2)*(a*x^2+b*x*log(c*x^n)^2),x, algorithm=""fricas"")","\frac{1}{2} \, b^{2} n^{4} \log\left(x\right)^{4} + 2 \, b^{2} n^{3} \log\left(c\right) \log\left(x\right)^{3} + a b x \log\left(c\right)^{2} + \frac{1}{2} \, a^{2} x^{2} + {\left(3 \, b^{2} n^{2} \log\left(c\right)^{2} + a b n^{2} x\right)} \log\left(x\right)^{2} + 2 \, {\left(b^{2} n \log\left(c\right)^{3} + a b n x \log\left(c\right)\right)} \log\left(x\right)"," ",0,"1/2*b^2*n^4*log(x)^4 + 2*b^2*n^3*log(c)*log(x)^3 + a*b*x*log(c)^2 + 1/2*a^2*x^2 + (3*b^2*n^2*log(c)^2 + a*b*n^2*x)*log(x)^2 + 2*(b^2*n*log(c)^3 + a*b*n*x*log(c))*log(x)","B",0
25,1,21,0,1.124359," ","integrate(a+2*b*n*log(c*x^n)/x,x, algorithm=""fricas"")","b n^{2} \log\left(x\right)^{2} + 2 \, b n \log\left(c\right) \log\left(x\right) + a x"," ",0,"b*n^2*log(x)^2 + 2*b*n*log(c)*log(x) + a*x","A",0
26,1,28,0,0.675190," ","integrate((a*x+2*b*n*log(c*x^n))/(a*x^2+b*x*log(c*x^n)^2),x, algorithm=""fricas"")","\log\left(b n^{2} \log\left(x\right)^{2} + 2 \, b n \log\left(c\right) \log\left(x\right) + b \log\left(c\right)^{2} + a x\right)"," ",0,"log(b*n^2*log(x)^2 + 2*b*n*log(c)*log(x) + b*log(c)^2 + a*x)","A",0
27,1,31,0,0.851960," ","integrate((a*x^2+2*b*n*x*log(c*x^n))/(a*x^2+b*x*log(c*x^n)^2)^2,x, algorithm=""fricas"")","-\frac{1}{b n^{2} \log\left(x\right)^{2} + 2 \, b n \log\left(c\right) \log\left(x\right) + b \log\left(c\right)^{2} + a x}"," ",0,"-1/(b*n^2*log(x)^2 + 2*b*n*log(c)*log(x) + b*log(c)^2 + a*x)","A",0
28,1,101,0,0.812162," ","integrate((a*x^3+2*b*n*x^2*log(c*x^n))/(a*x^2+b*x*log(c*x^n)^2)^3,x, algorithm=""fricas"")","-\frac{1}{2 \, {\left(b^{2} n^{4} \log\left(x\right)^{4} + 4 \, b^{2} n^{3} \log\left(c\right) \log\left(x\right)^{3} + b^{2} \log\left(c\right)^{4} + 2 \, a b x \log\left(c\right)^{2} + a^{2} x^{2} + 2 \, {\left(3 \, b^{2} n^{2} \log\left(c\right)^{2} + a b n^{2} x\right)} \log\left(x\right)^{2} + 4 \, {\left(b^{2} n \log\left(c\right)^{3} + a b n x \log\left(c\right)\right)} \log\left(x\right)\right)}}"," ",0,"-1/2/(b^2*n^4*log(x)^4 + 4*b^2*n^3*log(c)*log(x)^3 + b^2*log(c)^4 + 2*a*b*x*log(c)^2 + a^2*x^2 + 2*(3*b^2*n^2*log(c)^2 + a*b*n^2*x)*log(x)^2 + 4*(b^2*n*log(c)^3 + a*b*n*x*log(c))*log(x))","B",0
29,1,23,0,1.091549," ","integrate((a*(-1+m)*x^(-1+m)+b*n*q*log(c*x^n)^(-1+q))/(a*x^m+b*x*log(c*x^n)^q),x, algorithm=""fricas"")","\log\left(\frac{{\left(n \log\left(x\right) + \log\left(c\right)\right)}^{q} b x + a x^{m}}{x}\right)"," ",0,"log(((n*log(x) + log(c))^q*b*x + a*x^m)/x)","A",0
30,0,0,0,1.362110," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)^p/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(d x^{m} + e \log\left(c x^{n}\right)^{q - 1}\right)} {\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)}^{p}}{x}, x\right)"," ",0,"integral((d*x^m + e*log(c*x^n)^(q - 1))*(a*x^m + b*log(c*x^n)^q)^p/x, x)","F",0
31,0,0,0,1.127871," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)^3/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{3} e x^{3 \, m} \log\left(c x^{n}\right)^{q - 1} + a^{3} d x^{4 \, m} + {\left(b^{3} d x^{m} + b^{3} e \log\left(c x^{n}\right)^{q - 1}\right)} \log\left(c x^{n}\right)^{3 \, q} + 3 \, {\left(a b^{2} e x^{m} \log\left(c x^{n}\right)^{q - 1} + a b^{2} d x^{2 \, m}\right)} \log\left(c x^{n}\right)^{2 \, q} + 3 \, {\left(a^{2} b e x^{2 \, m} \log\left(c x^{n}\right)^{q - 1} + a^{2} b d x^{3 \, m}\right)} \log\left(c x^{n}\right)^{q}}{x}, x\right)"," ",0,"integral((a^3*e*x^(3*m)*log(c*x^n)^(q - 1) + a^3*d*x^(4*m) + (b^3*d*x^m + b^3*e*log(c*x^n)^(q - 1))*log(c*x^n)^(3*q) + 3*(a*b^2*e*x^m*log(c*x^n)^(q - 1) + a*b^2*d*x^(2*m))*log(c*x^n)^(2*q) + 3*(a^2*b*e*x^(2*m)*log(c*x^n)^(q - 1) + a^2*b*d*x^(3*m))*log(c*x^n)^q)/x, x)","F",0
32,0,0,0,0.931870," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} e x^{2 \, m} \log\left(c x^{n}\right)^{q - 1} + a^{2} d x^{3 \, m} + {\left(b^{2} d x^{m} + b^{2} e \log\left(c x^{n}\right)^{q - 1}\right)} \log\left(c x^{n}\right)^{2 \, q} + 2 \, {\left(a b e x^{m} \log\left(c x^{n}\right)^{q - 1} + a b d x^{2 \, m}\right)} \log\left(c x^{n}\right)^{q}}{x}, x\right)"," ",0,"integral((a^2*e*x^(2*m)*log(c*x^n)^(q - 1) + a^2*d*x^(3*m) + (b^2*d*x^m + b^2*e*log(c*x^n)^(q - 1))*log(c*x^n)^(2*q) + 2*(a*b*e*x^m*log(c*x^n)^(q - 1) + a*b*d*x^(2*m))*log(c*x^n)^q)/x, x)","F",0
33,0,0,0,1.037463," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a e x^{m} \log\left(c x^{n}\right)^{q - 1} + a d x^{2 \, m} + {\left(b d x^{m} + b e \log\left(c x^{n}\right)^{q - 1}\right)} \log\left(c x^{n}\right)^{q}}{x}, x\right)"," ",0,"integral((a*e*x^m*log(c*x^n)^(q - 1) + a*d*x^(2*m) + (b*d*x^m + b*e*log(c*x^n)^(q - 1))*log(c*x^n)^q)/x, x)","F",0
34,1,42,0,1.085030," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))/x,x, algorithm=""fricas"")","\frac{d n q x^{m} + {\left(e m n \log\left(x\right) + e m \log\left(c\right)\right)} {\left(n \log\left(x\right) + \log\left(c\right)\right)}^{q - 1}}{m n q}"," ",0,"(d*n*q*x^m + (e*m*n*log(x) + e*m*log(c))*(n*log(x) + log(c))^(q - 1))/(m*n*q)","A",0
35,0,0,0,1.193993," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))/x/(a*x^m+b*log(c*x^n)^q),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d x^{m} + e \log\left(c x^{n}\right)^{q - 1}}{a x x^{m} + b x \log\left(c x^{n}\right)^{q}}, x\right)"," ",0,"integral((d*x^m + e*log(c*x^n)^(q - 1))/(a*x*x^m + b*x*log(c*x^n)^q), x)","F",0
36,0,0,0,1.113637," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))/x/(a*x^m+b*log(c*x^n)^q)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d x^{m} + e \log\left(c x^{n}\right)^{q - 1}}{2 \, a b x x^{m} \log\left(c x^{n}\right)^{q} + a^{2} x x^{2 \, m} + b^{2} x \log\left(c x^{n}\right)^{2 \, q}}, x\right)"," ",0,"integral((d*x^m + e*log(c*x^n)^(q - 1))/(2*a*b*x*x^m*log(c*x^n)^q + a^2*x*x^(2*m) + b^2*x*log(c*x^n)^(2*q)), x)","F",0
37,0,0,0,2.226546," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))/x/(a*x^m+b*log(c*x^n)^q)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d x^{m} + e \log\left(c x^{n}\right)^{q - 1}}{3 \, a b^{2} x x^{m} \log\left(c x^{n}\right)^{2 \, q} + 3 \, a^{2} b x x^{2 \, m} \log\left(c x^{n}\right)^{q} + a^{3} x x^{3 \, m} + b^{3} x \log\left(c x^{n}\right)^{3 \, q}}, x\right)"," ",0,"integral((d*x^m + e*log(c*x^n)^(q - 1))/(3*a*b^2*x*x^m*log(c*x^n)^(2*q) + 3*a^2*b*x*x^(2*m)*log(c*x^n)^q + a^3*x*x^(3*m) + b^3*x*log(c*x^n)^(3*q)), x)","F",0
38,1,30,0,1.029289," ","integrate((a*d*n*x^m-a*d*m*x^m*log(c*x^n)-b*d*n*(-1+q)*log(c*x^n)^q)/x/(a*x^m+b*log(c*x^n)^q)^2,x, algorithm=""fricas"")","\frac{d n \log\left(x\right) + d \log\left(c\right)}{{\left(n \log\left(x\right) + \log\left(c\right)\right)}^{q} b + a x^{m}}"," ",0,"(d*n*log(x) + d*log(c))/((n*log(x) + log(c))^q*b + a*x^m)","A",0
39,0,0,0,1.120522," ","integrate((n*q-log(c*x^n))/(a*x+b*log(c*x^n)^q)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{n q - \log\left(c x^{n}\right)}{a^{2} x^{2} + 2 \, a b x \log\left(c x^{n}\right)^{q} + b^{2} \log\left(c x^{n}\right)^{2 \, q}}, x\right)"," ",0,"integral((n*q - log(c*x^n))/(a^2*x^2 + 2*a*b*x*log(c*x^n)^q + b^2*log(c*x^n)^(2*q)), x)","F",0
40,1,44,0,0.879387," ","integrate(log(2*x*(e*x+d*(-e/d)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""fricas"")","-\frac{\sqrt{-\frac{e}{d}} {\rm Li}_2\left(-\frac{2 \, {\left(e x^{2} + d x \sqrt{-\frac{e}{d}}\right)}}{e x^{2} + d} + 1\right)}{2 \, e}"," ",0,"-1/2*sqrt(-e/d)*dilog(-2*(e*x^2 + d*x*sqrt(-e/d))/(e*x^2 + d) + 1)/e","A",0
41,1,45,0,0.694000," ","integrate(log(-2*x*(-e*x+d*(-e/d)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""fricas"")","\frac{\sqrt{-\frac{e}{d}} {\rm Li}_2\left(-\frac{2 \, {\left(e x^{2} - d x \sqrt{-\frac{e}{d}}\right)}}{e x^{2} + d} + 1\right)}{2 \, e}"," ",0,"1/2*sqrt(-e/d)*dilog(-2*(e*x^2 - d*x*sqrt(-e/d))/(e*x^2 + d) + 1)/e","A",0
42,1,44,0,1.125839," ","integrate(log(2*x*(e*x+d*e^(1/2)/(-d)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""fricas"")","\frac{\sqrt{-d} {\rm Li}_2\left(-\frac{2 \, {\left(e x^{2} - \sqrt{-d} \sqrt{e} x\right)}}{e x^{2} + d} + 1\right)}{2 \, d \sqrt{e}}"," ",0,"1/2*sqrt(-d)*dilog(-2*(e*x^2 - sqrt(-d)*sqrt(e)*x)/(e*x^2 + d) + 1)/(d*sqrt(e))","A",0
43,1,43,0,0.889409," ","integrate(log(-2*x*(-e*x+d*e^(1/2)/(-d)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""fricas"")","-\frac{\sqrt{-d} {\rm Li}_2\left(-\frac{2 \, {\left(e x^{2} + \sqrt{-d} \sqrt{e} x\right)}}{e x^{2} + d} + 1\right)}{2 \, d \sqrt{e}}"," ",0,"-1/2*sqrt(-d)*dilog(-2*(e*x^2 + sqrt(-d)*sqrt(e)*x)/(e*x^2 + d) + 1)/(d*sqrt(e))","A",0
44,1,43,0,0.681406," ","integrate(log(2*x*(e*x+d^(1/2)*(-e)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""fricas"")","-\frac{\sqrt{-e} {\rm Li}_2\left(-\frac{2 \, {\left(e x^{2} + \sqrt{d} \sqrt{-e} x\right)}}{e x^{2} + d} + 1\right)}{2 \, \sqrt{d} e}"," ",0,"-1/2*sqrt(-e)*dilog(-2*(e*x^2 + sqrt(d)*sqrt(-e)*x)/(e*x^2 + d) + 1)/(sqrt(d)*e)","A",0
45,1,44,0,0.690538," ","integrate(log(-2*x*(-e*x+d^(1/2)*(-e)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""fricas"")","\frac{\sqrt{-e} {\rm Li}_2\left(-\frac{2 \, {\left(e x^{2} - \sqrt{d} \sqrt{-e} x\right)}}{e x^{2} + d} + 1\right)}{2 \, \sqrt{d} e}"," ",0,"1/2*sqrt(-e)*dilog(-2*(e*x^2 - sqrt(d)*sqrt(-e)*x)/(e*x^2 + d) + 1)/(sqrt(d)*e)","A",0
46,1,83,0,1.040469," ","integrate((e*x)^m*(a+b*log(c*log(d*x)^p)),x, algorithm=""fricas"")","\frac{b d p x e^{\left(m \log\left(d x\right) + m \log\left(\frac{e}{d}\right)\right)} \log\left(\log\left(d x\right)\right) - b p \left(\frac{e}{d}\right)^{m} {\rm Ei}\left({\left(m + 1\right)} \log\left(d x\right)\right) + {\left(b d x \log\left(c\right) + a d x\right)} e^{\left(m \log\left(d x\right) + m \log\left(\frac{e}{d}\right)\right)}}{d m + d}"," ",0,"(b*d*p*x*e^(m*log(d*x) + m*log(e/d))*log(log(d*x)) - b*p*(e/d)^m*Ei((m + 1)*log(d*x)) + (b*d*x*log(c) + a*d*x)*e^(m*log(d*x) + m*log(e/d)))/(d*m + d)","A",0
47,1,90,0,1.143444," ","integrate((e*x)^m*(a+b*log(c*log(d*x^n)^p)),x, algorithm=""fricas"")","\frac{b p x e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} \log\left(n \log\left(x\right) + \log\left(d\right)\right) - b p {\rm Ei}\left(\frac{{\left(m + 1\right)} n \log\left(x\right) + {\left(m + 1\right)} \log\left(d\right)}{n}\right) e^{\left(\frac{m n \log\left(e\right) - {\left(m + 1\right)} \log\left(d\right)}{n}\right)} + {\left(b x \log\left(c\right) + a x\right)} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{m + 1}"," ",0,"(b*p*x*e^(m*log(e) + m*log(x))*log(n*log(x) + log(d)) - b*p*Ei(((m + 1)*n*log(x) + (m + 1)*log(d))/n)*e^((m*n*log(e) - (m + 1)*log(d))/n) + (b*x*log(c) + a*x)*e^(m*log(e) + m*log(x)))/(m + 1)","A",0
48,1,70,0,1.162423," ","integrate(x^2*(a+b*log(c*log(d*x^n)^p)),x, algorithm=""fricas"")","\frac{b d^{\frac{3}{n}} p x^{3} \log\left(n \log\left(x\right) + \log\left(d\right)\right) - b p \operatorname{log\_integral}\left(d^{\frac{3}{n}} x^{3}\right) + {\left(b x^{3} \log\left(c\right) + a x^{3}\right)} d^{\frac{3}{n}}}{3 \, d^{\frac{3}{n}}}"," ",0,"1/3*(b*d^(3/n)*p*x^3*log(n*log(x) + log(d)) - b*p*log_integral(d^(3/n)*x^3) + (b*x^3*log(c) + a*x^3)*d^(3/n))/d^(3/n)","A",0
49,1,70,0,1.068165," ","integrate(x*(a+b*log(c*log(d*x^n)^p)),x, algorithm=""fricas"")","\frac{b d^{\frac{2}{n}} p x^{2} \log\left(n \log\left(x\right) + \log\left(d\right)\right) - b p \operatorname{log\_integral}\left(d^{\frac{2}{n}} x^{2}\right) + {\left(b x^{2} \log\left(c\right) + a x^{2}\right)} d^{\frac{2}{n}}}{2 \, d^{\frac{2}{n}}}"," ",0,"1/2*(b*d^(2/n)*p*x^2*log(n*log(x) + log(d)) - b*p*log_integral(d^(2/n)*x^2) + (b*x^2*log(c) + a*x^2)*d^(2/n))/d^(2/n)","A",0
50,1,53,0,0.915311," ","integrate(a+b*log(c*log(d*x^n)^p),x, algorithm=""fricas"")","\frac{b d^{\left(\frac{1}{n}\right)} p x \log\left(n \log\left(x\right) + \log\left(d\right)\right) - b p \operatorname{log\_integral}\left(d^{\left(\frac{1}{n}\right)} x\right) + {\left(b x \log\left(c\right) + a x\right)} d^{\left(\frac{1}{n}\right)}}{d^{\left(\frac{1}{n}\right)}}"," ",0,"(b*d^(1/n)*p*x*log(n*log(x) + log(d)) - b*p*log_integral(d^(1/n)*x) + (b*x*log(c) + a*x)*d^(1/n))/d^(1/n)","A",0
51,1,45,0,1.083984," ","integrate((a+b*log(c*log(d*x^n)^p))/x,x, algorithm=""fricas"")","\frac{{\left(b n p \log\left(x\right) + b p \log\left(d\right)\right)} \log\left(n \log\left(x\right) + \log\left(d\right)\right) - {\left(b n p - b n \log\left(c\right) - a n\right)} \log\left(x\right)}{n}"," ",0,"((b*n*p*log(x) + b*p*log(d))*log(n*log(x) + log(d)) - (b*n*p - b*n*log(c) - a*n)*log(x))/n","A",0
52,1,46,0,0.723953," ","integrate((a+b*log(c*log(d*x^n)^p))/x^2,x, algorithm=""fricas"")","\frac{b d^{\left(\frac{1}{n}\right)} p x \operatorname{log\_integral}\left(\frac{1}{d^{\left(\frac{1}{n}\right)} x}\right) - b p \log\left(n \log\left(x\right) + \log\left(d\right)\right) - b \log\left(c\right) - a}{x}"," ",0,"(b*d^(1/n)*p*x*log_integral(1/(d^(1/n)*x)) - b*p*log(n*log(x) + log(d)) - b*log(c) - a)/x","A",0
53,1,53,0,1.148390," ","integrate((a+b*log(c*log(d*x^n)^p))/x^3,x, algorithm=""fricas"")","\frac{b d^{\frac{2}{n}} p x^{2} \operatorname{log\_integral}\left(\frac{1}{d^{\frac{2}{n}} x^{2}}\right) - b p \log\left(n \log\left(x\right) + \log\left(d\right)\right) - b \log\left(c\right) - a}{2 \, x^{2}}"," ",0,"1/2*(b*d^(2/n)*p*x^2*log_integral(1/(d^(2/n)*x^2)) - b*p*log(n*log(x) + log(d)) - b*log(c) - a)/x^2","A",0
54,1,53,0,0.800695," ","integrate((a+b*log(c*log(d*x^n)^p))/x^4,x, algorithm=""fricas"")","\frac{b d^{\frac{3}{n}} p x^{3} \operatorname{log\_integral}\left(\frac{1}{d^{\frac{3}{n}} x^{3}}\right) - b p \log\left(n \log\left(x\right) + \log\left(d\right)\right) - b \log\left(c\right) - a}{3 \, x^{3}}"," ",0,"1/3*(b*d^(3/n)*p*x^3*log_integral(1/(d^(3/n)*x^3)) - b*p*log(n*log(x) + log(d)) - b*log(c) - a)/x^3","A",0
55,1,26,0,0.912187," ","integrate(log(c*log(d*x)^p),x, algorithm=""fricas"")","\frac{d p x \log\left(\log\left(d x\right)\right) + d x \log\left(c\right) - p \operatorname{log\_integral}\left(d x\right)}{d}"," ",0,"(d*p*x*log(log(d*x)) + d*x*log(c) - p*log_integral(d*x))/d","A",0
56,1,24,0,0.998472," ","integrate(log(c*log(d*x)^p)/x,x, algorithm=""fricas"")","p \log\left(d x\right) \log\left(\log\left(d x\right)\right) - {\left(p - \log\left(c\right)\right)} \log\left(d x\right)"," ",0,"p*log(d*x)*log(log(d*x)) - (p - log(c))*log(d*x)","A",0
57,1,45,0,1.221847," ","integrate(log(c*log(d*x^n)^p),x, algorithm=""fricas"")","\frac{d^{\left(\frac{1}{n}\right)} p x \log\left(n \log\left(x\right) + \log\left(d\right)\right) + d^{\left(\frac{1}{n}\right)} x \log\left(c\right) - p \operatorname{log\_integral}\left(d^{\left(\frac{1}{n}\right)} x\right)}{d^{\left(\frac{1}{n}\right)}}"," ",0,"(d^(1/n)*p*x*log(n*log(x) + log(d)) + d^(1/n)*x*log(c) - p*log_integral(d^(1/n)*x))/d^(1/n)","A",0
58,1,37,0,0.731992," ","integrate(log(c*log(d*x^n)^p)/x,x, algorithm=""fricas"")","\frac{{\left(n p \log\left(x\right) + p \log\left(d\right)\right)} \log\left(n \log\left(x\right) + \log\left(d\right)\right) - {\left(n p - n \log\left(c\right)\right)} \log\left(x\right)}{n}"," ",0,"((n*p*log(x) + p*log(d))*log(n*log(x) + log(d)) - (n*p - n*log(c))*log(x))/n","A",0
59,0,0,0,0.787056," ","integrate(x^m*log(d*(c*x^2+b*x)^n),x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \log\left({\left(c x^{2} + b x\right)}^{n} d\right), x\right)"," ",0,"integral(x^m*log((c*x^2 + b*x)^n*d), x)","F",0
60,1,98,0,0.995650," ","integrate(x^4*log(d*(c*x^2+b*x)^n),x, algorithm=""fricas"")","\frac{60 \, c^{5} n x^{5} \log\left(c x^{2} + b x\right) - 24 \, c^{5} n x^{5} + 60 \, c^{5} x^{5} \log\left(d\right) + 15 \, b c^{4} n x^{4} - 20 \, b^{2} c^{3} n x^{3} + 30 \, b^{3} c^{2} n x^{2} - 60 \, b^{4} c n x + 60 \, b^{5} n \log\left(c x + b\right)}{300 \, c^{5}}"," ",0,"1/300*(60*c^5*n*x^5*log(c*x^2 + b*x) - 24*c^5*n*x^5 + 60*c^5*x^5*log(d) + 15*b*c^4*n*x^4 - 20*b^2*c^3*n*x^3 + 30*b^3*c^2*n*x^2 - 60*b^4*c*n*x + 60*b^5*n*log(c*x + b))/c^5","A",0
61,1,86,0,0.946129," ","integrate(x^3*log(d*(c*x^2+b*x)^n),x, algorithm=""fricas"")","\frac{6 \, c^{4} n x^{4} \log\left(c x^{2} + b x\right) - 3 \, c^{4} n x^{4} + 6 \, c^{4} x^{4} \log\left(d\right) + 2 \, b c^{3} n x^{3} - 3 \, b^{2} c^{2} n x^{2} + 6 \, b^{3} c n x - 6 \, b^{4} n \log\left(c x + b\right)}{24 \, c^{4}}"," ",0,"1/24*(6*c^4*n*x^4*log(c*x^2 + b*x) - 3*c^4*n*x^4 + 6*c^4*x^4*log(d) + 2*b*c^3*n*x^3 - 3*b^2*c^2*n*x^2 + 6*b^3*c*n*x - 6*b^4*n*log(c*x + b))/c^4","A",0
62,1,74,0,0.835721," ","integrate(x^2*log(d*(c*x^2+b*x)^n),x, algorithm=""fricas"")","\frac{6 \, c^{3} n x^{3} \log\left(c x^{2} + b x\right) - 4 \, c^{3} n x^{3} + 6 \, c^{3} x^{3} \log\left(d\right) + 3 \, b c^{2} n x^{2} - 6 \, b^{2} c n x + 6 \, b^{3} n \log\left(c x + b\right)}{18 \, c^{3}}"," ",0,"1/18*(6*c^3*n*x^3*log(c*x^2 + b*x) - 4*c^3*n*x^3 + 6*c^3*x^3*log(d) + 3*b*c^2*n*x^2 - 6*b^2*c*n*x + 6*b^3*n*log(c*x + b))/c^3","A",0
63,1,59,0,0.892161," ","integrate(x*log(d*(c*x^2+b*x)^n),x, algorithm=""fricas"")","\frac{c^{2} n x^{2} \log\left(c x^{2} + b x\right) - c^{2} n x^{2} + c^{2} x^{2} \log\left(d\right) + b c n x - b^{2} n \log\left(c x + b\right)}{2 \, c^{2}}"," ",0,"1/2*(c^2*n*x^2*log(c*x^2 + b*x) - c^2*n*x^2 + c^2*x^2*log(d) + b*c*n*x - b^2*n*log(c*x + b))/c^2","A",0
64,1,38,0,0.940043," ","integrate(log(d*(c*x^2+b*x)^n),x, algorithm=""fricas"")","\frac{c n x \log\left(c x^{2} + b x\right) - 2 \, c n x + b n \log\left(c x + b\right) + c x \log\left(d\right)}{c}"," ",0,"(c*n*x*log(c*x^2 + b*x) - 2*c*n*x + b*n*log(c*x + b) + c*x*log(d))/c","A",0
65,0,0,0,0.853068," ","integrate(log(d*(c*x^2+b*x)^n)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(c x^{2} + b x\right)}^{n} d\right)}{x}, x\right)"," ",0,"integral(log((c*x^2 + b*x)^n*d)/x, x)","F",0
66,1,46,0,0.632234," ","integrate(log(d*(c*x^2+b*x)^n)/x^2,x, algorithm=""fricas"")","-\frac{c n x \log\left(c x + b\right) - c n x \log\left(x\right) + b n \log\left(c x^{2} + b x\right) + b n + b \log\left(d\right)}{b x}"," ",0,"-(c*n*x*log(c*x + b) - c*n*x*log(x) + b*n*log(c*x^2 + b*x) + b*n + b*log(d))/(b*x)","A",0
67,1,70,0,0.895069," ","integrate(log(d*(c*x^2+b*x)^n)/x^3,x, algorithm=""fricas"")","\frac{2 \, c^{2} n x^{2} \log\left(c x + b\right) - 2 \, c^{2} n x^{2} \log\left(x\right) - 2 \, b c n x - 2 \, b^{2} n \log\left(c x^{2} + b x\right) - b^{2} n - 2 \, b^{2} \log\left(d\right)}{4 \, b^{2} x^{2}}"," ",0,"1/4*(2*c^2*n*x^2*log(c*x + b) - 2*c^2*n*x^2*log(x) - 2*b*c*n*x - 2*b^2*n*log(c*x^2 + b*x) - b^2*n - 2*b^2*log(d))/(b^2*x^2)","A",0
68,1,82,0,0.923078," ","integrate(log(d*(c*x^2+b*x)^n)/x^4,x, algorithm=""fricas"")","-\frac{6 \, c^{3} n x^{3} \log\left(c x + b\right) - 6 \, c^{3} n x^{3} \log\left(x\right) - 6 \, b c^{2} n x^{2} + 3 \, b^{2} c n x + 6 \, b^{3} n \log\left(c x^{2} + b x\right) + 2 \, b^{3} n + 6 \, b^{3} \log\left(d\right)}{18 \, b^{3} x^{3}}"," ",0,"-1/18*(6*c^3*n*x^3*log(c*x + b) - 6*c^3*n*x^3*log(x) - 6*b*c^2*n*x^2 + 3*b^2*c*n*x + 6*b^3*n*log(c*x^2 + b*x) + 2*b^3*n + 6*b^3*log(d))/(b^3*x^3)","A",0
69,1,94,0,0.847230," ","integrate(log(d*(c*x^2+b*x)^n)/x^5,x, algorithm=""fricas"")","\frac{12 \, c^{4} n x^{4} \log\left(c x + b\right) - 12 \, c^{4} n x^{4} \log\left(x\right) - 12 \, b c^{3} n x^{3} + 6 \, b^{2} c^{2} n x^{2} - 4 \, b^{3} c n x - 12 \, b^{4} n \log\left(c x^{2} + b x\right) - 3 \, b^{4} n - 12 \, b^{4} \log\left(d\right)}{48 \, b^{4} x^{4}}"," ",0,"1/48*(12*c^4*n*x^4*log(c*x + b) - 12*c^4*n*x^4*log(x) - 12*b*c^3*n*x^3 + 6*b^2*c^2*n*x^2 - 4*b^3*c*n*x - 12*b^4*n*log(c*x^2 + b*x) - 3*b^4*n - 12*b^4*log(d))/(b^4*x^4)","A",0
70,0,0,0,0.926318," ","integrate(x^m*log(d*(c*x^2+b*x+a)^n),x, algorithm=""fricas"")","{\rm integral}\left(x^{m} \log\left({\left(c x^{2} + b x + a\right)}^{n} d\right), x\right)"," ",0,"integral(x^m*log((c*x^2 + b*x + a)^n*d), x)","F",0
71,1,444,0,0.964185," ","integrate(x^4*log(d*(c*x^2+b*x+a)^n),x, algorithm=""fricas"")","\left[-\frac{24 \, c^{5} n x^{5} - 60 \, c^{5} x^{5} \log\left(d\right) - 15 \, b c^{4} n x^{4} + 20 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} n x^{3} - 30 \, {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} n x^{2} - 30 \, {\left(b^{4} - 3 \, a b^{2} c + a^{2} c^{2}\right)} \sqrt{b^{2} - 4 \, a c} n \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c + \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) + 60 \, {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} n x - 30 \, {\left(2 \, c^{5} n x^{5} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} n\right)} \log\left(c x^{2} + b x + a\right)}{300 \, c^{5}}, -\frac{24 \, c^{5} n x^{5} - 60 \, c^{5} x^{5} \log\left(d\right) - 15 \, b c^{4} n x^{4} + 20 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} n x^{3} - 30 \, {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} n x^{2} - 60 \, {\left(b^{4} - 3 \, a b^{2} c + a^{2} c^{2}\right)} \sqrt{-b^{2} + 4 \, a c} n \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) + 60 \, {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} n x - 30 \, {\left(2 \, c^{5} n x^{5} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} n\right)} \log\left(c x^{2} + b x + a\right)}{300 \, c^{5}}\right]"," ",0,"[-1/300*(24*c^5*n*x^5 - 60*c^5*x^5*log(d) - 15*b*c^4*n*x^4 + 20*(b^2*c^3 - 2*a*c^4)*n*x^3 - 30*(b^3*c^2 - 3*a*b*c^3)*n*x^2 - 30*(b^4 - 3*a*b^2*c + a^2*c^2)*sqrt(b^2 - 4*a*c)*n*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c + sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) + 60*(b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*n*x - 30*(2*c^5*n*x^5 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*n)*log(c*x^2 + b*x + a))/c^5, -1/300*(24*c^5*n*x^5 - 60*c^5*x^5*log(d) - 15*b*c^4*n*x^4 + 20*(b^2*c^3 - 2*a*c^4)*n*x^3 - 30*(b^3*c^2 - 3*a*b*c^3)*n*x^2 - 60*(b^4 - 3*a*b^2*c + a^2*c^2)*sqrt(-b^2 + 4*a*c)*n*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) + 60*(b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*n*x - 30*(2*c^5*n*x^5 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*n)*log(c*x^2 + b*x + a))/c^5]","A",0
72,1,364,0,0.939933," ","integrate(x^3*log(d*(c*x^2+b*x+a)^n),x, algorithm=""fricas"")","\left[-\frac{3 \, c^{4} n x^{4} - 6 \, c^{4} x^{4} \log\left(d\right) - 2 \, b c^{3} n x^{3} + 3 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} n x^{2} + 3 \, {\left(b^{3} - 2 \, a b c\right)} \sqrt{b^{2} - 4 \, a c} n \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c + \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) - 6 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} n x - 3 \, {\left(2 \, c^{4} n x^{4} - {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} n\right)} \log\left(c x^{2} + b x + a\right)}{24 \, c^{4}}, -\frac{3 \, c^{4} n x^{4} - 6 \, c^{4} x^{4} \log\left(d\right) - 2 \, b c^{3} n x^{3} + 3 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} n x^{2} + 6 \, {\left(b^{3} - 2 \, a b c\right)} \sqrt{-b^{2} + 4 \, a c} n \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) - 6 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} n x - 3 \, {\left(2 \, c^{4} n x^{4} - {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} n\right)} \log\left(c x^{2} + b x + a\right)}{24 \, c^{4}}\right]"," ",0,"[-1/24*(3*c^4*n*x^4 - 6*c^4*x^4*log(d) - 2*b*c^3*n*x^3 + 3*(b^2*c^2 - 2*a*c^3)*n*x^2 + 3*(b^3 - 2*a*b*c)*sqrt(b^2 - 4*a*c)*n*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c + sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) - 6*(b^3*c - 3*a*b*c^2)*n*x - 3*(2*c^4*n*x^4 - (b^4 - 4*a*b^2*c + 2*a^2*c^2)*n)*log(c*x^2 + b*x + a))/c^4, -1/24*(3*c^4*n*x^4 - 6*c^4*x^4*log(d) - 2*b*c^3*n*x^3 + 3*(b^2*c^2 - 2*a*c^3)*n*x^2 + 6*(b^3 - 2*a*b*c)*sqrt(-b^2 + 4*a*c)*n*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) - 6*(b^3*c - 3*a*b*c^2)*n*x - 3*(2*c^4*n*x^4 - (b^4 - 4*a*b^2*c + 2*a^2*c^2)*n)*log(c*x^2 + b*x + a))/c^4]","A",0
73,1,299,0,0.706984," ","integrate(x^2*log(d*(c*x^2+b*x+a)^n),x, algorithm=""fricas"")","\left[-\frac{4 \, c^{3} n x^{3} - 6 \, c^{3} x^{3} \log\left(d\right) - 3 \, b c^{2} n x^{2} + 3 \, {\left(b^{2} - a c\right)} \sqrt{b^{2} - 4 \, a c} n \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c - \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) + 6 \, {\left(b^{2} c - 2 \, a c^{2}\right)} n x - 3 \, {\left(2 \, c^{3} n x^{3} + {\left(b^{3} - 3 \, a b c\right)} n\right)} \log\left(c x^{2} + b x + a\right)}{18 \, c^{3}}, -\frac{4 \, c^{3} n x^{3} - 6 \, c^{3} x^{3} \log\left(d\right) - 3 \, b c^{2} n x^{2} - 6 \, {\left(b^{2} - a c\right)} \sqrt{-b^{2} + 4 \, a c} n \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) + 6 \, {\left(b^{2} c - 2 \, a c^{2}\right)} n x - 3 \, {\left(2 \, c^{3} n x^{3} + {\left(b^{3} - 3 \, a b c\right)} n\right)} \log\left(c x^{2} + b x + a\right)}{18 \, c^{3}}\right]"," ",0,"[-1/18*(4*c^3*n*x^3 - 6*c^3*x^3*log(d) - 3*b*c^2*n*x^2 + 3*(b^2 - a*c)*sqrt(b^2 - 4*a*c)*n*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c - sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) + 6*(b^2*c - 2*a*c^2)*n*x - 3*(2*c^3*n*x^3 + (b^3 - 3*a*b*c)*n)*log(c*x^2 + b*x + a))/c^3, -1/18*(4*c^3*n*x^3 - 6*c^3*x^3*log(d) - 3*b*c^2*n*x^2 - 6*(b^2 - a*c)*sqrt(-b^2 + 4*a*c)*n*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) + 6*(b^2*c - 2*a*c^2)*n*x - 3*(2*c^3*n*x^3 + (b^3 - 3*a*b*c)*n)*log(c*x^2 + b*x + a))/c^3]","A",0
74,1,245,0,0.901845," ","integrate(x*log(d*(c*x^2+b*x+a)^n),x, algorithm=""fricas"")","\left[-\frac{2 \, c^{2} n x^{2} - 2 \, c^{2} x^{2} \log\left(d\right) - 2 \, b c n x - \sqrt{b^{2} - 4 \, a c} b n \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c - \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) - {\left(2 \, c^{2} n x^{2} - {\left(b^{2} - 2 \, a c\right)} n\right)} \log\left(c x^{2} + b x + a\right)}{4 \, c^{2}}, -\frac{2 \, c^{2} n x^{2} - 2 \, c^{2} x^{2} \log\left(d\right) - 2 \, b c n x + 2 \, \sqrt{-b^{2} + 4 \, a c} b n \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) - {\left(2 \, c^{2} n x^{2} - {\left(b^{2} - 2 \, a c\right)} n\right)} \log\left(c x^{2} + b x + a\right)}{4 \, c^{2}}\right]"," ",0,"[-1/4*(2*c^2*n*x^2 - 2*c^2*x^2*log(d) - 2*b*c*n*x - sqrt(b^2 - 4*a*c)*b*n*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c - sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) - (2*c^2*n*x^2 - (b^2 - 2*a*c)*n)*log(c*x^2 + b*x + a))/c^2, -1/4*(2*c^2*n*x^2 - 2*c^2*x^2*log(d) - 2*b*c*n*x + 2*sqrt(-b^2 + 4*a*c)*b*n*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) - (2*c^2*n*x^2 - (b^2 - 2*a*c)*n)*log(c*x^2 + b*x + a))/c^2]","A",0
75,1,190,0,0.944777," ","integrate(log(d*(c*x^2+b*x+a)^n),x, algorithm=""fricas"")","\left[-\frac{4 \, c n x - 2 \, c x \log\left(d\right) - \sqrt{b^{2} - 4 \, a c} n \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c + \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) - {\left(2 \, c n x + b n\right)} \log\left(c x^{2} + b x + a\right)}{2 \, c}, -\frac{4 \, c n x - 2 \, c x \log\left(d\right) - 2 \, \sqrt{-b^{2} + 4 \, a c} n \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) - {\left(2 \, c n x + b n\right)} \log\left(c x^{2} + b x + a\right)}{2 \, c}\right]"," ",0,"[-1/2*(4*c*n*x - 2*c*x*log(d) - sqrt(b^2 - 4*a*c)*n*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c + sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) - (2*c*n*x + b*n)*log(c*x^2 + b*x + a))/c, -1/2*(4*c*n*x - 2*c*x*log(d) - 2*sqrt(-b^2 + 4*a*c)*n*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) - (2*c*n*x + b*n)*log(c*x^2 + b*x + a))/c]","A",0
76,0,0,0,0.957542," ","integrate(log(d*(c*x^2+b*x+a)^n)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(c x^{2} + b x + a\right)}^{n} d\right)}{x}, x\right)"," ",0,"integral(log((c*x^2 + b*x + a)^n*d)/x, x)","F",0
77,1,199,0,0.930328," ","integrate(log(d*(c*x^2+b*x+a)^n)/x^2,x, algorithm=""fricas"")","\left[\frac{2 \, b n x \log\left(x\right) + \sqrt{b^{2} - 4 \, a c} n x \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c + \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) - {\left(b n x + 2 \, a n\right)} \log\left(c x^{2} + b x + a\right) - 2 \, a \log\left(d\right)}{2 \, a x}, \frac{2 \, b n x \log\left(x\right) + 2 \, \sqrt{-b^{2} + 4 \, a c} n x \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) - {\left(b n x + 2 \, a n\right)} \log\left(c x^{2} + b x + a\right) - 2 \, a \log\left(d\right)}{2 \, a x}\right]"," ",0,"[1/2*(2*b*n*x*log(x) + sqrt(b^2 - 4*a*c)*n*x*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c + sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) - (b*n*x + 2*a*n)*log(c*x^2 + b*x + a) - 2*a*log(d))/(a*x), 1/2*(2*b*n*x*log(x) + 2*sqrt(-b^2 + 4*a*c)*n*x*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) - (b*n*x + 2*a*n)*log(c*x^2 + b*x + a) - 2*a*log(d))/(a*x)]","A",0
78,1,261,0,0.984571," ","integrate(log(d*(c*x^2+b*x+a)^n)/x^3,x, algorithm=""fricas"")","\left[\frac{\sqrt{b^{2} - 4 \, a c} b n x^{2} \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c - \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) - 2 \, {\left(b^{2} - 2 \, a c\right)} n x^{2} \log\left(x\right) - 2 \, a b n x - 2 \, a^{2} \log\left(d\right) + {\left({\left(b^{2} - 2 \, a c\right)} n x^{2} - 2 \, a^{2} n\right)} \log\left(c x^{2} + b x + a\right)}{4 \, a^{2} x^{2}}, -\frac{2 \, \sqrt{-b^{2} + 4 \, a c} b n x^{2} \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) + 2 \, {\left(b^{2} - 2 \, a c\right)} n x^{2} \log\left(x\right) + 2 \, a b n x + 2 \, a^{2} \log\left(d\right) - {\left({\left(b^{2} - 2 \, a c\right)} n x^{2} - 2 \, a^{2} n\right)} \log\left(c x^{2} + b x + a\right)}{4 \, a^{2} x^{2}}\right]"," ",0,"[1/4*(sqrt(b^2 - 4*a*c)*b*n*x^2*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c - sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) - 2*(b^2 - 2*a*c)*n*x^2*log(x) - 2*a*b*n*x - 2*a^2*log(d) + ((b^2 - 2*a*c)*n*x^2 - 2*a^2*n)*log(c*x^2 + b*x + a))/(a^2*x^2), -1/4*(2*sqrt(-b^2 + 4*a*c)*b*n*x^2*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) + 2*(b^2 - 2*a*c)*n*x^2*log(x) + 2*a*b*n*x + 2*a^2*log(d) - ((b^2 - 2*a*c)*n*x^2 - 2*a^2*n)*log(c*x^2 + b*x + a))/(a^2*x^2)]","A",0
79,1,318,0,0.858862," ","integrate(log(d*(c*x^2+b*x+a)^n)/x^4,x, algorithm=""fricas"")","\left[-\frac{{\left(b^{2} - a c\right)} \sqrt{b^{2} - 4 \, a c} n x^{3} \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c - \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) - 2 \, {\left(b^{3} - 3 \, a b c\right)} n x^{3} \log\left(x\right) + a^{2} b n x - 2 \, {\left(a b^{2} - 2 \, a^{2} c\right)} n x^{2} + 2 \, a^{3} \log\left(d\right) + {\left({\left(b^{3} - 3 \, a b c\right)} n x^{3} + 2 \, a^{3} n\right)} \log\left(c x^{2} + b x + a\right)}{6 \, a^{3} x^{3}}, \frac{2 \, {\left(b^{2} - a c\right)} \sqrt{-b^{2} + 4 \, a c} n x^{3} \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) + 2 \, {\left(b^{3} - 3 \, a b c\right)} n x^{3} \log\left(x\right) - a^{2} b n x + 2 \, {\left(a b^{2} - 2 \, a^{2} c\right)} n x^{2} - 2 \, a^{3} \log\left(d\right) - {\left({\left(b^{3} - 3 \, a b c\right)} n x^{3} + 2 \, a^{3} n\right)} \log\left(c x^{2} + b x + a\right)}{6 \, a^{3} x^{3}}\right]"," ",0,"[-1/6*((b^2 - a*c)*sqrt(b^2 - 4*a*c)*n*x^3*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c - sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) - 2*(b^3 - 3*a*b*c)*n*x^3*log(x) + a^2*b*n*x - 2*(a*b^2 - 2*a^2*c)*n*x^2 + 2*a^3*log(d) + ((b^3 - 3*a*b*c)*n*x^3 + 2*a^3*n)*log(c*x^2 + b*x + a))/(a^3*x^3), 1/6*(2*(b^2 - a*c)*sqrt(-b^2 + 4*a*c)*n*x^3*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) + 2*(b^3 - 3*a*b*c)*n*x^3*log(x) - a^2*b*n*x + 2*(a*b^2 - 2*a^2*c)*n*x^2 - 2*a^3*log(d) - ((b^3 - 3*a*b*c)*n*x^3 + 2*a^3*n)*log(c*x^2 + b*x + a))/(a^3*x^3)]","A",0
80,1,404,0,1.119030," ","integrate(log(d*(c*x^2+b*x+a)^n)/x^5,x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(b^{3} - 2 \, a b c\right)} \sqrt{b^{2} - 4 \, a c} n x^{4} \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c + \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) + 6 \, {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} n x^{4} \log\left(x\right) + 2 \, a^{3} b n x + 6 \, {\left(a b^{3} - 3 \, a^{2} b c\right)} n x^{3} + 6 \, a^{4} \log\left(d\right) - 3 \, {\left(a^{2} b^{2} - 2 \, a^{3} c\right)} n x^{2} - 3 \, {\left({\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} n x^{4} - 2 \, a^{4} n\right)} \log\left(c x^{2} + b x + a\right)}{24 \, a^{4} x^{4}}, -\frac{6 \, {\left(b^{3} - 2 \, a b c\right)} \sqrt{-b^{2} + 4 \, a c} n x^{4} \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) + 6 \, {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} n x^{4} \log\left(x\right) + 2 \, a^{3} b n x + 6 \, {\left(a b^{3} - 3 \, a^{2} b c\right)} n x^{3} + 6 \, a^{4} \log\left(d\right) - 3 \, {\left(a^{2} b^{2} - 2 \, a^{3} c\right)} n x^{2} - 3 \, {\left({\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} n x^{4} - 2 \, a^{4} n\right)} \log\left(c x^{2} + b x + a\right)}{24 \, a^{4} x^{4}}\right]"," ",0,"[-1/24*(3*(b^3 - 2*a*b*c)*sqrt(b^2 - 4*a*c)*n*x^4*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c + sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) + 6*(b^4 - 4*a*b^2*c + 2*a^2*c^2)*n*x^4*log(x) + 2*a^3*b*n*x + 6*(a*b^3 - 3*a^2*b*c)*n*x^3 + 6*a^4*log(d) - 3*(a^2*b^2 - 2*a^3*c)*n*x^2 - 3*((b^4 - 4*a*b^2*c + 2*a^2*c^2)*n*x^4 - 2*a^4*n)*log(c*x^2 + b*x + a))/(a^4*x^4), -1/24*(6*(b^3 - 2*a*b*c)*sqrt(-b^2 + 4*a*c)*n*x^4*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) + 6*(b^4 - 4*a*b^2*c + 2*a^2*c^2)*n*x^4*log(x) + 2*a^3*b*n*x + 6*(a*b^3 - 3*a^2*b*c)*n*x^3 + 6*a^4*log(d) - 3*(a^2*b^2 - 2*a^3*c)*n*x^2 - 3*((b^4 - 4*a*b^2*c + 2*a^2*c^2)*n*x^4 - 2*a^4*n)*log(c*x^2 + b*x + a))/(a^4*x^4)]","A",0
81,1,33,0,1.026368," ","integrate(log(x^2+x+1),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(2 \, x + 1\right)} \log\left(x^{2} + x + 1\right) + \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 2 \, x"," ",0,"1/2*(2*x + 1)*log(x^2 + x + 1) + sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 2*x","A",0
82,1,1270,0,1.101555," ","integrate((e*x+d)^4*log(d*(c*x^2+b*x+a)^n),x, algorithm=""fricas"")","\left[-\frac{24 \, c^{5} e^{4} n x^{5} + 15 \, {\left(10 \, c^{5} d e^{3} - b c^{4} e^{4}\right)} n x^{4} + 20 \, {\left(20 \, c^{5} d^{2} e^{2} - 5 \, b c^{4} d e^{3} + {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} e^{4}\right)} n x^{3} + 30 \, {\left(20 \, c^{5} d^{3} e - 10 \, b c^{4} d^{2} e^{2} + 5 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} d e^{3} - {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} e^{4}\right)} n x^{2} - 30 \, {\left(5 \, c^{4} d^{4} - 10 \, b c^{3} d^{3} e + 10 \, {\left(b^{2} c^{2} - a c^{3}\right)} d^{2} e^{2} - 5 \, {\left(b^{3} c - 2 \, a b c^{2}\right)} d e^{3} + {\left(b^{4} - 3 \, a b^{2} c + a^{2} c^{2}\right)} e^{4}\right)} \sqrt{b^{2} - 4 \, a c} n \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c + \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) + 60 \, {\left(10 \, c^{5} d^{4} - 10 \, b c^{4} d^{3} e + 10 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} d^{2} e^{2} - 5 \, {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} d e^{3} + {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} e^{4}\right)} n x - 30 \, {\left(2 \, c^{5} e^{4} n x^{5} + 10 \, c^{5} d e^{3} n x^{4} + 20 \, c^{5} d^{2} e^{2} n x^{3} + 20 \, c^{5} d^{3} e n x^{2} + 10 \, c^{5} d^{4} n x + {\left(5 \, b c^{4} d^{4} - 10 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} d^{3} e + 10 \, {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} d^{2} e^{2} - 5 \, {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} d e^{3} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} e^{4}\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 60 \, {\left(c^{5} e^{4} x^{5} + 5 \, c^{5} d e^{3} x^{4} + 10 \, c^{5} d^{2} e^{2} x^{3} + 10 \, c^{5} d^{3} e x^{2} + 5 \, c^{5} d^{4} x\right)} \log\left(d\right)}{300 \, c^{5}}, -\frac{24 \, c^{5} e^{4} n x^{5} + 15 \, {\left(10 \, c^{5} d e^{3} - b c^{4} e^{4}\right)} n x^{4} + 20 \, {\left(20 \, c^{5} d^{2} e^{2} - 5 \, b c^{4} d e^{3} + {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} e^{4}\right)} n x^{3} + 30 \, {\left(20 \, c^{5} d^{3} e - 10 \, b c^{4} d^{2} e^{2} + 5 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} d e^{3} - {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} e^{4}\right)} n x^{2} - 60 \, {\left(5 \, c^{4} d^{4} - 10 \, b c^{3} d^{3} e + 10 \, {\left(b^{2} c^{2} - a c^{3}\right)} d^{2} e^{2} - 5 \, {\left(b^{3} c - 2 \, a b c^{2}\right)} d e^{3} + {\left(b^{4} - 3 \, a b^{2} c + a^{2} c^{2}\right)} e^{4}\right)} \sqrt{-b^{2} + 4 \, a c} n \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) + 60 \, {\left(10 \, c^{5} d^{4} - 10 \, b c^{4} d^{3} e + 10 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} d^{2} e^{2} - 5 \, {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} d e^{3} + {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} e^{4}\right)} n x - 30 \, {\left(2 \, c^{5} e^{4} n x^{5} + 10 \, c^{5} d e^{3} n x^{4} + 20 \, c^{5} d^{2} e^{2} n x^{3} + 20 \, c^{5} d^{3} e n x^{2} + 10 \, c^{5} d^{4} n x + {\left(5 \, b c^{4} d^{4} - 10 \, {\left(b^{2} c^{3} - 2 \, a c^{4}\right)} d^{3} e + 10 \, {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} d^{2} e^{2} - 5 \, {\left(b^{4} c - 4 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} d e^{3} + {\left(b^{5} - 5 \, a b^{3} c + 5 \, a^{2} b c^{2}\right)} e^{4}\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 60 \, {\left(c^{5} e^{4} x^{5} + 5 \, c^{5} d e^{3} x^{4} + 10 \, c^{5} d^{2} e^{2} x^{3} + 10 \, c^{5} d^{3} e x^{2} + 5 \, c^{5} d^{4} x\right)} \log\left(d\right)}{300 \, c^{5}}\right]"," ",0,"[-1/300*(24*c^5*e^4*n*x^5 + 15*(10*c^5*d*e^3 - b*c^4*e^4)*n*x^4 + 20*(20*c^5*d^2*e^2 - 5*b*c^4*d*e^3 + (b^2*c^3 - 2*a*c^4)*e^4)*n*x^3 + 30*(20*c^5*d^3*e - 10*b*c^4*d^2*e^2 + 5*(b^2*c^3 - 2*a*c^4)*d*e^3 - (b^3*c^2 - 3*a*b*c^3)*e^4)*n*x^2 - 30*(5*c^4*d^4 - 10*b*c^3*d^3*e + 10*(b^2*c^2 - a*c^3)*d^2*e^2 - 5*(b^3*c - 2*a*b*c^2)*d*e^3 + (b^4 - 3*a*b^2*c + a^2*c^2)*e^4)*sqrt(b^2 - 4*a*c)*n*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c + sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) + 60*(10*c^5*d^4 - 10*b*c^4*d^3*e + 10*(b^2*c^3 - 2*a*c^4)*d^2*e^2 - 5*(b^3*c^2 - 3*a*b*c^3)*d*e^3 + (b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*e^4)*n*x - 30*(2*c^5*e^4*n*x^5 + 10*c^5*d*e^3*n*x^4 + 20*c^5*d^2*e^2*n*x^3 + 20*c^5*d^3*e*n*x^2 + 10*c^5*d^4*n*x + (5*b*c^4*d^4 - 10*(b^2*c^3 - 2*a*c^4)*d^3*e + 10*(b^3*c^2 - 3*a*b*c^3)*d^2*e^2 - 5*(b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*d*e^3 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*e^4)*n)*log(c*x^2 + b*x + a) - 60*(c^5*e^4*x^5 + 5*c^5*d*e^3*x^4 + 10*c^5*d^2*e^2*x^3 + 10*c^5*d^3*e*x^2 + 5*c^5*d^4*x)*log(d))/c^5, -1/300*(24*c^5*e^4*n*x^5 + 15*(10*c^5*d*e^3 - b*c^4*e^4)*n*x^4 + 20*(20*c^5*d^2*e^2 - 5*b*c^4*d*e^3 + (b^2*c^3 - 2*a*c^4)*e^4)*n*x^3 + 30*(20*c^5*d^3*e - 10*b*c^4*d^2*e^2 + 5*(b^2*c^3 - 2*a*c^4)*d*e^3 - (b^3*c^2 - 3*a*b*c^3)*e^4)*n*x^2 - 60*(5*c^4*d^4 - 10*b*c^3*d^3*e + 10*(b^2*c^2 - a*c^3)*d^2*e^2 - 5*(b^3*c - 2*a*b*c^2)*d*e^3 + (b^4 - 3*a*b^2*c + a^2*c^2)*e^4)*sqrt(-b^2 + 4*a*c)*n*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) + 60*(10*c^5*d^4 - 10*b*c^4*d^3*e + 10*(b^2*c^3 - 2*a*c^4)*d^2*e^2 - 5*(b^3*c^2 - 3*a*b*c^3)*d*e^3 + (b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*e^4)*n*x - 30*(2*c^5*e^4*n*x^5 + 10*c^5*d*e^3*n*x^4 + 20*c^5*d^2*e^2*n*x^3 + 20*c^5*d^3*e*n*x^2 + 10*c^5*d^4*n*x + (5*b*c^4*d^4 - 10*(b^2*c^3 - 2*a*c^4)*d^3*e + 10*(b^3*c^2 - 3*a*b*c^3)*d^2*e^2 - 5*(b^4*c - 4*a*b^2*c^2 + 2*a^2*c^3)*d*e^3 + (b^5 - 5*a*b^3*c + 5*a^2*b*c^2)*e^4)*n)*log(c*x^2 + b*x + a) - 60*(c^5*e^4*x^5 + 5*c^5*d*e^3*x^4 + 10*c^5*d^2*e^2*x^3 + 10*c^5*d^3*e*x^2 + 5*c^5*d^4*x)*log(d))/c^5]","A",0
83,1,880,0,1.065374," ","integrate((e*x+d)^3*log(d*(c*x^2+b*x+a)^n),x, algorithm=""fricas"")","\left[-\frac{3 \, c^{4} e^{3} n x^{4} + 2 \, {\left(8 \, c^{4} d e^{2} - b c^{3} e^{3}\right)} n x^{3} + 3 \, {\left(12 \, c^{4} d^{2} e - 4 \, b c^{3} d e^{2} + {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} e^{3}\right)} n x^{2} - 3 \, {\left(4 \, c^{3} d^{3} - 6 \, b c^{2} d^{2} e + 4 \, {\left(b^{2} c - a c^{2}\right)} d e^{2} - {\left(b^{3} - 2 \, a b c\right)} e^{3}\right)} \sqrt{b^{2} - 4 \, a c} n \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c + \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) + 6 \, {\left(8 \, c^{4} d^{3} - 6 \, b c^{3} d^{2} e + 4 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d e^{2} - {\left(b^{3} c - 3 \, a b c^{2}\right)} e^{3}\right)} n x - 3 \, {\left(2 \, c^{4} e^{3} n x^{4} + 8 \, c^{4} d e^{2} n x^{3} + 12 \, c^{4} d^{2} e n x^{2} + 8 \, c^{4} d^{3} n x + {\left(4 \, b c^{3} d^{3} - 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{2} e + 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d e^{2} - {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} e^{3}\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 6 \, {\left(c^{4} e^{3} x^{4} + 4 \, c^{4} d e^{2} x^{3} + 6 \, c^{4} d^{2} e x^{2} + 4 \, c^{4} d^{3} x\right)} \log\left(d\right)}{24 \, c^{4}}, -\frac{3 \, c^{4} e^{3} n x^{4} + 2 \, {\left(8 \, c^{4} d e^{2} - b c^{3} e^{3}\right)} n x^{3} + 3 \, {\left(12 \, c^{4} d^{2} e - 4 \, b c^{3} d e^{2} + {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} e^{3}\right)} n x^{2} - 6 \, {\left(4 \, c^{3} d^{3} - 6 \, b c^{2} d^{2} e + 4 \, {\left(b^{2} c - a c^{2}\right)} d e^{2} - {\left(b^{3} - 2 \, a b c\right)} e^{3}\right)} \sqrt{-b^{2} + 4 \, a c} n \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) + 6 \, {\left(8 \, c^{4} d^{3} - 6 \, b c^{3} d^{2} e + 4 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d e^{2} - {\left(b^{3} c - 3 \, a b c^{2}\right)} e^{3}\right)} n x - 3 \, {\left(2 \, c^{4} e^{3} n x^{4} + 8 \, c^{4} d e^{2} n x^{3} + 12 \, c^{4} d^{2} e n x^{2} + 8 \, c^{4} d^{3} n x + {\left(4 \, b c^{3} d^{3} - 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{2} e + 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d e^{2} - {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} e^{3}\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 6 \, {\left(c^{4} e^{3} x^{4} + 4 \, c^{4} d e^{2} x^{3} + 6 \, c^{4} d^{2} e x^{2} + 4 \, c^{4} d^{3} x\right)} \log\left(d\right)}{24 \, c^{4}}\right]"," ",0,"[-1/24*(3*c^4*e^3*n*x^4 + 2*(8*c^4*d*e^2 - b*c^3*e^3)*n*x^3 + 3*(12*c^4*d^2*e - 4*b*c^3*d*e^2 + (b^2*c^2 - 2*a*c^3)*e^3)*n*x^2 - 3*(4*c^3*d^3 - 6*b*c^2*d^2*e + 4*(b^2*c - a*c^2)*d*e^2 - (b^3 - 2*a*b*c)*e^3)*sqrt(b^2 - 4*a*c)*n*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c + sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) + 6*(8*c^4*d^3 - 6*b*c^3*d^2*e + 4*(b^2*c^2 - 2*a*c^3)*d*e^2 - (b^3*c - 3*a*b*c^2)*e^3)*n*x - 3*(2*c^4*e^3*n*x^4 + 8*c^4*d*e^2*n*x^3 + 12*c^4*d^2*e*n*x^2 + 8*c^4*d^3*n*x + (4*b*c^3*d^3 - 6*(b^2*c^2 - 2*a*c^3)*d^2*e + 4*(b^3*c - 3*a*b*c^2)*d*e^2 - (b^4 - 4*a*b^2*c + 2*a^2*c^2)*e^3)*n)*log(c*x^2 + b*x + a) - 6*(c^4*e^3*x^4 + 4*c^4*d*e^2*x^3 + 6*c^4*d^2*e*x^2 + 4*c^4*d^3*x)*log(d))/c^4, -1/24*(3*c^4*e^3*n*x^4 + 2*(8*c^4*d*e^2 - b*c^3*e^3)*n*x^3 + 3*(12*c^4*d^2*e - 4*b*c^3*d*e^2 + (b^2*c^2 - 2*a*c^3)*e^3)*n*x^2 - 6*(4*c^3*d^3 - 6*b*c^2*d^2*e + 4*(b^2*c - a*c^2)*d*e^2 - (b^3 - 2*a*b*c)*e^3)*sqrt(-b^2 + 4*a*c)*n*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) + 6*(8*c^4*d^3 - 6*b*c^3*d^2*e + 4*(b^2*c^2 - 2*a*c^3)*d*e^2 - (b^3*c - 3*a*b*c^2)*e^3)*n*x - 3*(2*c^4*e^3*n*x^4 + 8*c^4*d*e^2*n*x^3 + 12*c^4*d^2*e*n*x^2 + 8*c^4*d^3*n*x + (4*b*c^3*d^3 - 6*(b^2*c^2 - 2*a*c^3)*d^2*e + 4*(b^3*c - 3*a*b*c^2)*d*e^2 - (b^4 - 4*a*b^2*c + 2*a^2*c^2)*e^3)*n)*log(c*x^2 + b*x + a) - 6*(c^4*e^3*x^4 + 4*c^4*d*e^2*x^3 + 6*c^4*d^2*e*x^2 + 4*c^4*d^3*x)*log(d))/c^4]","A",0
84,1,567,0,1.111646," ","integrate((e*x+d)^2*log(d*(c*x^2+b*x+a)^n),x, algorithm=""fricas"")","\left[-\frac{4 \, c^{3} e^{2} n x^{3} + 3 \, {\left(6 \, c^{3} d e - b c^{2} e^{2}\right)} n x^{2} + 3 \, {\left(3 \, c^{2} d^{2} - 3 \, b c d e + {\left(b^{2} - a c\right)} e^{2}\right)} \sqrt{b^{2} - 4 \, a c} n \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c - \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) + 6 \, {\left(6 \, c^{3} d^{2} - 3 \, b c^{2} d e + {\left(b^{2} c - 2 \, a c^{2}\right)} e^{2}\right)} n x - 3 \, {\left(2 \, c^{3} e^{2} n x^{3} + 6 \, c^{3} d e n x^{2} + 6 \, c^{3} d^{2} n x + {\left(3 \, b c^{2} d^{2} - 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d e + {\left(b^{3} - 3 \, a b c\right)} e^{2}\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 6 \, {\left(c^{3} e^{2} x^{3} + 3 \, c^{3} d e x^{2} + 3 \, c^{3} d^{2} x\right)} \log\left(d\right)}{18 \, c^{3}}, -\frac{4 \, c^{3} e^{2} n x^{3} + 3 \, {\left(6 \, c^{3} d e - b c^{2} e^{2}\right)} n x^{2} - 6 \, {\left(3 \, c^{2} d^{2} - 3 \, b c d e + {\left(b^{2} - a c\right)} e^{2}\right)} \sqrt{-b^{2} + 4 \, a c} n \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) + 6 \, {\left(6 \, c^{3} d^{2} - 3 \, b c^{2} d e + {\left(b^{2} c - 2 \, a c^{2}\right)} e^{2}\right)} n x - 3 \, {\left(2 \, c^{3} e^{2} n x^{3} + 6 \, c^{3} d e n x^{2} + 6 \, c^{3} d^{2} n x + {\left(3 \, b c^{2} d^{2} - 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d e + {\left(b^{3} - 3 \, a b c\right)} e^{2}\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 6 \, {\left(c^{3} e^{2} x^{3} + 3 \, c^{3} d e x^{2} + 3 \, c^{3} d^{2} x\right)} \log\left(d\right)}{18 \, c^{3}}\right]"," ",0,"[-1/18*(4*c^3*e^2*n*x^3 + 3*(6*c^3*d*e - b*c^2*e^2)*n*x^2 + 3*(3*c^2*d^2 - 3*b*c*d*e + (b^2 - a*c)*e^2)*sqrt(b^2 - 4*a*c)*n*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c - sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) + 6*(6*c^3*d^2 - 3*b*c^2*d*e + (b^2*c - 2*a*c^2)*e^2)*n*x - 3*(2*c^3*e^2*n*x^3 + 6*c^3*d*e*n*x^2 + 6*c^3*d^2*n*x + (3*b*c^2*d^2 - 3*(b^2*c - 2*a*c^2)*d*e + (b^3 - 3*a*b*c)*e^2)*n)*log(c*x^2 + b*x + a) - 6*(c^3*e^2*x^3 + 3*c^3*d*e*x^2 + 3*c^3*d^2*x)*log(d))/c^3, -1/18*(4*c^3*e^2*n*x^3 + 3*(6*c^3*d*e - b*c^2*e^2)*n*x^2 - 6*(3*c^2*d^2 - 3*b*c*d*e + (b^2 - a*c)*e^2)*sqrt(-b^2 + 4*a*c)*n*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) + 6*(6*c^3*d^2 - 3*b*c^2*d*e + (b^2*c - 2*a*c^2)*e^2)*n*x - 3*(2*c^3*e^2*n*x^3 + 6*c^3*d*e*n*x^2 + 6*c^3*d^2*n*x + (3*b*c^2*d^2 - 3*(b^2*c - 2*a*c^2)*d*e + (b^3 - 3*a*b*c)*e^2)*n)*log(c*x^2 + b*x + a) - 6*(c^3*e^2*x^3 + 3*c^3*d*e*x^2 + 3*c^3*d^2*x)*log(d))/c^3]","A",0
85,1,336,0,1.060512," ","integrate((e*x+d)*log(d*(c*x^2+b*x+a)^n),x, algorithm=""fricas"")","\left[-\frac{2 \, c^{2} e n x^{2} + \sqrt{b^{2} - 4 \, a c} {\left(2 \, c d - b e\right)} n \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c - \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) + 2 \, {\left(4 \, c^{2} d - b c e\right)} n x - {\left(2 \, c^{2} e n x^{2} + 4 \, c^{2} d n x + {\left(2 \, b c d - {\left(b^{2} - 2 \, a c\right)} e\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 2 \, {\left(c^{2} e x^{2} + 2 \, c^{2} d x\right)} \log\left(d\right)}{4 \, c^{2}}, -\frac{2 \, c^{2} e n x^{2} - 2 \, \sqrt{-b^{2} + 4 \, a c} {\left(2 \, c d - b e\right)} n \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) + 2 \, {\left(4 \, c^{2} d - b c e\right)} n x - {\left(2 \, c^{2} e n x^{2} + 4 \, c^{2} d n x + {\left(2 \, b c d - {\left(b^{2} - 2 \, a c\right)} e\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 2 \, {\left(c^{2} e x^{2} + 2 \, c^{2} d x\right)} \log\left(d\right)}{4 \, c^{2}}\right]"," ",0,"[-1/4*(2*c^2*e*n*x^2 + sqrt(b^2 - 4*a*c)*(2*c*d - b*e)*n*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c - sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) + 2*(4*c^2*d - b*c*e)*n*x - (2*c^2*e*n*x^2 + 4*c^2*d*n*x + (2*b*c*d - (b^2 - 2*a*c)*e)*n)*log(c*x^2 + b*x + a) - 2*(c^2*e*x^2 + 2*c^2*d*x)*log(d))/c^2, -1/4*(2*c^2*e*n*x^2 - 2*sqrt(-b^2 + 4*a*c)*(2*c*d - b*e)*n*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) + 2*(4*c^2*d - b*c*e)*n*x - (2*c^2*e*n*x^2 + 4*c^2*d*n*x + (2*b*c*d - (b^2 - 2*a*c)*e)*n)*log(c*x^2 + b*x + a) - 2*(c^2*e*x^2 + 2*c^2*d*x)*log(d))/c^2]","A",0
86,1,190,0,0.995989," ","integrate(log(d*(c*x^2+b*x+a)^n),x, algorithm=""fricas"")","\left[-\frac{4 \, c n x - 2 \, c x \log\left(d\right) - \sqrt{b^{2} - 4 \, a c} n \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c + \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) - {\left(2 \, c n x + b n\right)} \log\left(c x^{2} + b x + a\right)}{2 \, c}, -\frac{4 \, c n x - 2 \, c x \log\left(d\right) - 2 \, \sqrt{-b^{2} + 4 \, a c} n \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) - {\left(2 \, c n x + b n\right)} \log\left(c x^{2} + b x + a\right)}{2 \, c}\right]"," ",0,"[-1/2*(4*c*n*x - 2*c*x*log(d) - sqrt(b^2 - 4*a*c)*n*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c + sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) - (2*c*n*x + b*n)*log(c*x^2 + b*x + a))/c, -1/2*(4*c*n*x - 2*c*x*log(d) - 2*sqrt(-b^2 + 4*a*c)*n*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) - (2*c*n*x + b*n)*log(c*x^2 + b*x + a))/c]","A",0
87,0,0,0,0.816751," ","integrate(log(d*(c*x^2+b*x+a)^n)/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(c x^{2} + b x + a\right)}^{n} d\right)}{e x + d}, x\right)"," ",0,"integral(log((c*x^2 + b*x + a)^n*d)/(e*x + d), x)","F",0
88,1,429,0,1.162128," ","integrate(log(d*(c*x^2+b*x+a)^n)/(e*x+d)^2,x, algorithm=""fricas"")","\left[\frac{{\left(e^{2} n x + d e n\right)} \sqrt{b^{2} - 4 \, a c} \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c + \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) + {\left({\left(2 \, c d e - b e^{2}\right)} n x + {\left(b d e - 2 \, a e^{2}\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 2 \, {\left({\left(2 \, c d e - b e^{2}\right)} n x + {\left(2 \, c d^{2} - b d e\right)} n\right)} \log\left(e x + d\right) - 2 \, {\left(c d^{2} - b d e + a e^{2}\right)} \log\left(d\right)}{2 \, {\left(c d^{3} e - b d^{2} e^{2} + a d e^{3} + {\left(c d^{2} e^{2} - b d e^{3} + a e^{4}\right)} x\right)}}, \frac{2 \, {\left(e^{2} n x + d e n\right)} \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) + {\left({\left(2 \, c d e - b e^{2}\right)} n x + {\left(b d e - 2 \, a e^{2}\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 2 \, {\left({\left(2 \, c d e - b e^{2}\right)} n x + {\left(2 \, c d^{2} - b d e\right)} n\right)} \log\left(e x + d\right) - 2 \, {\left(c d^{2} - b d e + a e^{2}\right)} \log\left(d\right)}{2 \, {\left(c d^{3} e - b d^{2} e^{2} + a d e^{3} + {\left(c d^{2} e^{2} - b d e^{3} + a e^{4}\right)} x\right)}}\right]"," ",0,"[1/2*((e^2*n*x + d*e*n)*sqrt(b^2 - 4*a*c)*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c + sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) + ((2*c*d*e - b*e^2)*n*x + (b*d*e - 2*a*e^2)*n)*log(c*x^2 + b*x + a) - 2*((2*c*d*e - b*e^2)*n*x + (2*c*d^2 - b*d*e)*n)*log(e*x + d) - 2*(c*d^2 - b*d*e + a*e^2)*log(d))/(c*d^3*e - b*d^2*e^2 + a*d*e^3 + (c*d^2*e^2 - b*d*e^3 + a*e^4)*x), 1/2*(2*(e^2*n*x + d*e*n)*sqrt(-b^2 + 4*a*c)*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) + ((2*c*d*e - b*e^2)*n*x + (b*d*e - 2*a*e^2)*n)*log(c*x^2 + b*x + a) - 2*((2*c*d*e - b*e^2)*n*x + (2*c*d^2 - b*d*e)*n)*log(e*x + d) - 2*(c*d^2 - b*d*e + a*e^2)*log(d))/(c*d^3*e - b*d^2*e^2 + a*d*e^3 + (c*d^2*e^2 - b*d*e^3 + a*e^4)*x)]","A",0
89,1,1341,0,3.936146," ","integrate(log(d*(c*x^2+b*x+a)^n)/(e*x+d)^3,x, algorithm=""fricas"")","\left[\frac{2 \, {\left(2 \, c^{2} d^{3} e - 3 \, b c d^{2} e^{2} - a b e^{4} + {\left(b^{2} + 2 \, a c\right)} d e^{3}\right)} n x - {\left({\left(2 \, c d e^{3} - b e^{4}\right)} n x^{2} + 2 \, {\left(2 \, c d^{2} e^{2} - b d e^{3}\right)} n x + {\left(2 \, c d^{3} e - b d^{2} e^{2}\right)} n\right)} \sqrt{b^{2} - 4 \, a c} \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c - \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) + 2 \, {\left(2 \, c^{2} d^{4} - 3 \, b c d^{3} e - a b d e^{3} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} n + {\left({\left(2 \, c^{2} d^{2} e^{2} - 2 \, b c d e^{3} + {\left(b^{2} - 2 \, a c\right)} e^{4}\right)} n x^{2} + 2 \, {\left(2 \, c^{2} d^{3} e - 2 \, b c d^{2} e^{2} + {\left(b^{2} - 2 \, a c\right)} d e^{3}\right)} n x + {\left(2 \, b c d^{3} e + 4 \, a b d e^{3} - 2 \, a^{2} e^{4} - {\left(b^{2} + 6 \, a c\right)} d^{2} e^{2}\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 2 \, {\left({\left(2 \, c^{2} d^{2} e^{2} - 2 \, b c d e^{3} + {\left(b^{2} - 2 \, a c\right)} e^{4}\right)} n x^{2} + 2 \, {\left(2 \, c^{2} d^{3} e - 2 \, b c d^{2} e^{2} + {\left(b^{2} - 2 \, a c\right)} d e^{3}\right)} n x + {\left(2 \, c^{2} d^{4} - 2 \, b c d^{3} e + {\left(b^{2} - 2 \, a c\right)} d^{2} e^{2}\right)} n\right)} \log\left(e x + d\right) - 2 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e - 2 \, a b d e^{3} + a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} \log\left(d\right)}{4 \, {\left(c^{2} d^{6} e - 2 \, b c d^{5} e^{2} - 2 \, a b d^{3} e^{4} + a^{2} d^{2} e^{5} + {\left(b^{2} + 2 \, a c\right)} d^{4} e^{3} + {\left(c^{2} d^{4} e^{3} - 2 \, b c d^{3} e^{4} - 2 \, a b d e^{6} + a^{2} e^{7} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{5}\right)} x^{2} + 2 \, {\left(c^{2} d^{5} e^{2} - 2 \, b c d^{4} e^{3} - 2 \, a b d^{2} e^{5} + a^{2} d e^{6} + {\left(b^{2} + 2 \, a c\right)} d^{3} e^{4}\right)} x\right)}}, \frac{2 \, {\left(2 \, c^{2} d^{3} e - 3 \, b c d^{2} e^{2} - a b e^{4} + {\left(b^{2} + 2 \, a c\right)} d e^{3}\right)} n x + 2 \, {\left({\left(2 \, c d e^{3} - b e^{4}\right)} n x^{2} + 2 \, {\left(2 \, c d^{2} e^{2} - b d e^{3}\right)} n x + {\left(2 \, c d^{3} e - b d^{2} e^{2}\right)} n\right)} \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) + 2 \, {\left(2 \, c^{2} d^{4} - 3 \, b c d^{3} e - a b d e^{3} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} n + {\left({\left(2 \, c^{2} d^{2} e^{2} - 2 \, b c d e^{3} + {\left(b^{2} - 2 \, a c\right)} e^{4}\right)} n x^{2} + 2 \, {\left(2 \, c^{2} d^{3} e - 2 \, b c d^{2} e^{2} + {\left(b^{2} - 2 \, a c\right)} d e^{3}\right)} n x + {\left(2 \, b c d^{3} e + 4 \, a b d e^{3} - 2 \, a^{2} e^{4} - {\left(b^{2} + 6 \, a c\right)} d^{2} e^{2}\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 2 \, {\left({\left(2 \, c^{2} d^{2} e^{2} - 2 \, b c d e^{3} + {\left(b^{2} - 2 \, a c\right)} e^{4}\right)} n x^{2} + 2 \, {\left(2 \, c^{2} d^{3} e - 2 \, b c d^{2} e^{2} + {\left(b^{2} - 2 \, a c\right)} d e^{3}\right)} n x + {\left(2 \, c^{2} d^{4} - 2 \, b c d^{3} e + {\left(b^{2} - 2 \, a c\right)} d^{2} e^{2}\right)} n\right)} \log\left(e x + d\right) - 2 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e - 2 \, a b d e^{3} + a^{2} e^{4} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{2}\right)} \log\left(d\right)}{4 \, {\left(c^{2} d^{6} e - 2 \, b c d^{5} e^{2} - 2 \, a b d^{3} e^{4} + a^{2} d^{2} e^{5} + {\left(b^{2} + 2 \, a c\right)} d^{4} e^{3} + {\left(c^{2} d^{4} e^{3} - 2 \, b c d^{3} e^{4} - 2 \, a b d e^{6} + a^{2} e^{7} + {\left(b^{2} + 2 \, a c\right)} d^{2} e^{5}\right)} x^{2} + 2 \, {\left(c^{2} d^{5} e^{2} - 2 \, b c d^{4} e^{3} - 2 \, a b d^{2} e^{5} + a^{2} d e^{6} + {\left(b^{2} + 2 \, a c\right)} d^{3} e^{4}\right)} x\right)}}\right]"," ",0,"[1/4*(2*(2*c^2*d^3*e - 3*b*c*d^2*e^2 - a*b*e^4 + (b^2 + 2*a*c)*d*e^3)*n*x - ((2*c*d*e^3 - b*e^4)*n*x^2 + 2*(2*c*d^2*e^2 - b*d*e^3)*n*x + (2*c*d^3*e - b*d^2*e^2)*n)*sqrt(b^2 - 4*a*c)*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c - sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) + 2*(2*c^2*d^4 - 3*b*c*d^3*e - a*b*d*e^3 + (b^2 + 2*a*c)*d^2*e^2)*n + ((2*c^2*d^2*e^2 - 2*b*c*d*e^3 + (b^2 - 2*a*c)*e^4)*n*x^2 + 2*(2*c^2*d^3*e - 2*b*c*d^2*e^2 + (b^2 - 2*a*c)*d*e^3)*n*x + (2*b*c*d^3*e + 4*a*b*d*e^3 - 2*a^2*e^4 - (b^2 + 6*a*c)*d^2*e^2)*n)*log(c*x^2 + b*x + a) - 2*((2*c^2*d^2*e^2 - 2*b*c*d*e^3 + (b^2 - 2*a*c)*e^4)*n*x^2 + 2*(2*c^2*d^3*e - 2*b*c*d^2*e^2 + (b^2 - 2*a*c)*d*e^3)*n*x + (2*c^2*d^4 - 2*b*c*d^3*e + (b^2 - 2*a*c)*d^2*e^2)*n)*log(e*x + d) - 2*(c^2*d^4 - 2*b*c*d^3*e - 2*a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2)*log(d))/(c^2*d^6*e - 2*b*c*d^5*e^2 - 2*a*b*d^3*e^4 + a^2*d^2*e^5 + (b^2 + 2*a*c)*d^4*e^3 + (c^2*d^4*e^3 - 2*b*c*d^3*e^4 - 2*a*b*d*e^6 + a^2*e^7 + (b^2 + 2*a*c)*d^2*e^5)*x^2 + 2*(c^2*d^5*e^2 - 2*b*c*d^4*e^3 - 2*a*b*d^2*e^5 + a^2*d*e^6 + (b^2 + 2*a*c)*d^3*e^4)*x), 1/4*(2*(2*c^2*d^3*e - 3*b*c*d^2*e^2 - a*b*e^4 + (b^2 + 2*a*c)*d*e^3)*n*x + 2*((2*c*d*e^3 - b*e^4)*n*x^2 + 2*(2*c*d^2*e^2 - b*d*e^3)*n*x + (2*c*d^3*e - b*d^2*e^2)*n)*sqrt(-b^2 + 4*a*c)*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) + 2*(2*c^2*d^4 - 3*b*c*d^3*e - a*b*d*e^3 + (b^2 + 2*a*c)*d^2*e^2)*n + ((2*c^2*d^2*e^2 - 2*b*c*d*e^3 + (b^2 - 2*a*c)*e^4)*n*x^2 + 2*(2*c^2*d^3*e - 2*b*c*d^2*e^2 + (b^2 - 2*a*c)*d*e^3)*n*x + (2*b*c*d^3*e + 4*a*b*d*e^3 - 2*a^2*e^4 - (b^2 + 6*a*c)*d^2*e^2)*n)*log(c*x^2 + b*x + a) - 2*((2*c^2*d^2*e^2 - 2*b*c*d*e^3 + (b^2 - 2*a*c)*e^4)*n*x^2 + 2*(2*c^2*d^3*e - 2*b*c*d^2*e^2 + (b^2 - 2*a*c)*d*e^3)*n*x + (2*c^2*d^4 - 2*b*c*d^3*e + (b^2 - 2*a*c)*d^2*e^2)*n)*log(e*x + d) - 2*(c^2*d^4 - 2*b*c*d^3*e - 2*a*b*d*e^3 + a^2*e^4 + (b^2 + 2*a*c)*d^2*e^2)*log(d))/(c^2*d^6*e - 2*b*c*d^5*e^2 - 2*a*b*d^3*e^4 + a^2*d^2*e^5 + (b^2 + 2*a*c)*d^4*e^3 + (c^2*d^4*e^3 - 2*b*c*d^3*e^4 - 2*a*b*d*e^6 + a^2*e^7 + (b^2 + 2*a*c)*d^2*e^5)*x^2 + 2*(c^2*d^5*e^2 - 2*b*c*d^4*e^3 - 2*a*b*d^2*e^5 + a^2*d*e^6 + (b^2 + 2*a*c)*d^3*e^4)*x)]","B",0
90,1,3013,0,21.389023," ","integrate(log(d*(c*x^2+b*x+a)^n)/(e*x+d)^4,x, algorithm=""fricas"")","\left[\frac{2 \, {\left(2 \, c^{3} d^{4} e^{2} - 4 \, b c^{2} d^{3} e^{3} + 3 \, b^{2} c d^{2} e^{4} - b^{3} d e^{5} + {\left(a b^{2} - 2 \, a^{2} c\right)} e^{6}\right)} n x^{2} + {\left(10 \, c^{3} d^{5} e - 21 \, b c^{2} d^{4} e^{2} - a^{2} b e^{6} + 4 \, {\left(4 \, b^{2} c + a c^{2}\right)} d^{3} e^{3} - {\left(5 \, b^{3} + 6 \, a b c\right)} d^{2} e^{4} + 6 \, {\left(a b^{2} - a^{2} c\right)} d e^{5}\right)} n x - {\left({\left(3 \, c^{2} d^{2} e^{4} - 3 \, b c d e^{5} + {\left(b^{2} - a c\right)} e^{6}\right)} n x^{3} + 3 \, {\left(3 \, c^{2} d^{3} e^{3} - 3 \, b c d^{2} e^{4} + {\left(b^{2} - a c\right)} d e^{5}\right)} n x^{2} + 3 \, {\left(3 \, c^{2} d^{4} e^{2} - 3 \, b c d^{3} e^{3} + {\left(b^{2} - a c\right)} d^{2} e^{4}\right)} n x + {\left(3 \, c^{2} d^{5} e - 3 \, b c d^{4} e^{2} + {\left(b^{2} - a c\right)} d^{3} e^{3}\right)} n\right)} \sqrt{b^{2} - 4 \, a c} \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c - \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) + {\left(6 \, c^{3} d^{6} - 13 \, b c^{2} d^{5} e - a^{2} b d e^{5} + 2 \, {\left(5 \, b^{2} c + 2 \, a c^{2}\right)} d^{4} e^{2} - 3 \, {\left(b^{3} + 2 \, a b c\right)} d^{3} e^{3} + 2 \, {\left(2 \, a b^{2} - a^{2} c\right)} d^{2} e^{4}\right)} n + {\left({\left(2 \, c^{3} d^{3} e^{3} - 3 \, b c^{2} d^{2} e^{4} + 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d e^{5} - {\left(b^{3} - 3 \, a b c\right)} e^{6}\right)} n x^{3} + 3 \, {\left(2 \, c^{3} d^{4} e^{2} - 3 \, b c^{2} d^{3} e^{3} + 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d^{2} e^{4} - {\left(b^{3} - 3 \, a b c\right)} d e^{5}\right)} n x^{2} + 3 \, {\left(2 \, c^{3} d^{5} e - 3 \, b c^{2} d^{4} e^{2} + 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d^{3} e^{3} - {\left(b^{3} - 3 \, a b c\right)} d^{2} e^{4}\right)} n x + {\left(3 \, b c^{2} d^{5} e + 6 \, a^{2} b d e^{5} - 2 \, a^{3} e^{6} - 3 \, {\left(b^{2} c + 4 \, a c^{2}\right)} d^{4} e^{2} + {\left(b^{3} + 15 \, a b c\right)} d^{3} e^{3} - 6 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4}\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 2 \, {\left({\left(2 \, c^{3} d^{3} e^{3} - 3 \, b c^{2} d^{2} e^{4} + 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d e^{5} - {\left(b^{3} - 3 \, a b c\right)} e^{6}\right)} n x^{3} + 3 \, {\left(2 \, c^{3} d^{4} e^{2} - 3 \, b c^{2} d^{3} e^{3} + 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d^{2} e^{4} - {\left(b^{3} - 3 \, a b c\right)} d e^{5}\right)} n x^{2} + 3 \, {\left(2 \, c^{3} d^{5} e - 3 \, b c^{2} d^{4} e^{2} + 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d^{3} e^{3} - {\left(b^{3} - 3 \, a b c\right)} d^{2} e^{4}\right)} n x + {\left(2 \, c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d^{4} e^{2} - {\left(b^{3} - 3 \, a b c\right)} d^{3} e^{3}\right)} n\right)} \log\left(e x + d\right) - 2 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e - 3 \, a^{2} b d e^{5} + a^{3} e^{6} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4}\right)} \log\left(d\right)}{6 \, {\left(c^{3} d^{9} e - 3 \, b c^{2} d^{8} e^{2} - 3 \, a^{2} b d^{4} e^{6} + a^{3} d^{3} e^{7} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{7} e^{3} - {\left(b^{3} + 6 \, a b c\right)} d^{6} e^{4} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{5} e^{5} + {\left(c^{3} d^{6} e^{4} - 3 \, b c^{2} d^{5} e^{5} - 3 \, a^{2} b d e^{9} + a^{3} e^{10} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{6} - {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{7} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{8}\right)} x^{3} + 3 \, {\left(c^{3} d^{7} e^{3} - 3 \, b c^{2} d^{6} e^{4} - 3 \, a^{2} b d^{2} e^{8} + a^{3} d e^{9} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{5} e^{5} - {\left(b^{3} + 6 \, a b c\right)} d^{4} e^{6} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{3} e^{7}\right)} x^{2} + 3 \, {\left(c^{3} d^{8} e^{2} - 3 \, b c^{2} d^{7} e^{3} - 3 \, a^{2} b d^{3} e^{7} + a^{3} d^{2} e^{8} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{6} e^{4} - {\left(b^{3} + 6 \, a b c\right)} d^{5} e^{5} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{4} e^{6}\right)} x\right)}}, \frac{2 \, {\left(2 \, c^{3} d^{4} e^{2} - 4 \, b c^{2} d^{3} e^{3} + 3 \, b^{2} c d^{2} e^{4} - b^{3} d e^{5} + {\left(a b^{2} - 2 \, a^{2} c\right)} e^{6}\right)} n x^{2} + {\left(10 \, c^{3} d^{5} e - 21 \, b c^{2} d^{4} e^{2} - a^{2} b e^{6} + 4 \, {\left(4 \, b^{2} c + a c^{2}\right)} d^{3} e^{3} - {\left(5 \, b^{3} + 6 \, a b c\right)} d^{2} e^{4} + 6 \, {\left(a b^{2} - a^{2} c\right)} d e^{5}\right)} n x + 2 \, {\left({\left(3 \, c^{2} d^{2} e^{4} - 3 \, b c d e^{5} + {\left(b^{2} - a c\right)} e^{6}\right)} n x^{3} + 3 \, {\left(3 \, c^{2} d^{3} e^{3} - 3 \, b c d^{2} e^{4} + {\left(b^{2} - a c\right)} d e^{5}\right)} n x^{2} + 3 \, {\left(3 \, c^{2} d^{4} e^{2} - 3 \, b c d^{3} e^{3} + {\left(b^{2} - a c\right)} d^{2} e^{4}\right)} n x + {\left(3 \, c^{2} d^{5} e - 3 \, b c d^{4} e^{2} + {\left(b^{2} - a c\right)} d^{3} e^{3}\right)} n\right)} \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) + {\left(6 \, c^{3} d^{6} - 13 \, b c^{2} d^{5} e - a^{2} b d e^{5} + 2 \, {\left(5 \, b^{2} c + 2 \, a c^{2}\right)} d^{4} e^{2} - 3 \, {\left(b^{3} + 2 \, a b c\right)} d^{3} e^{3} + 2 \, {\left(2 \, a b^{2} - a^{2} c\right)} d^{2} e^{4}\right)} n + {\left({\left(2 \, c^{3} d^{3} e^{3} - 3 \, b c^{2} d^{2} e^{4} + 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d e^{5} - {\left(b^{3} - 3 \, a b c\right)} e^{6}\right)} n x^{3} + 3 \, {\left(2 \, c^{3} d^{4} e^{2} - 3 \, b c^{2} d^{3} e^{3} + 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d^{2} e^{4} - {\left(b^{3} - 3 \, a b c\right)} d e^{5}\right)} n x^{2} + 3 \, {\left(2 \, c^{3} d^{5} e - 3 \, b c^{2} d^{4} e^{2} + 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d^{3} e^{3} - {\left(b^{3} - 3 \, a b c\right)} d^{2} e^{4}\right)} n x + {\left(3 \, b c^{2} d^{5} e + 6 \, a^{2} b d e^{5} - 2 \, a^{3} e^{6} - 3 \, {\left(b^{2} c + 4 \, a c^{2}\right)} d^{4} e^{2} + {\left(b^{3} + 15 \, a b c\right)} d^{3} e^{3} - 6 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4}\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 2 \, {\left({\left(2 \, c^{3} d^{3} e^{3} - 3 \, b c^{2} d^{2} e^{4} + 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d e^{5} - {\left(b^{3} - 3 \, a b c\right)} e^{6}\right)} n x^{3} + 3 \, {\left(2 \, c^{3} d^{4} e^{2} - 3 \, b c^{2} d^{3} e^{3} + 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d^{2} e^{4} - {\left(b^{3} - 3 \, a b c\right)} d e^{5}\right)} n x^{2} + 3 \, {\left(2 \, c^{3} d^{5} e - 3 \, b c^{2} d^{4} e^{2} + 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d^{3} e^{3} - {\left(b^{3} - 3 \, a b c\right)} d^{2} e^{4}\right)} n x + {\left(2 \, c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, {\left(b^{2} c - 2 \, a c^{2}\right)} d^{4} e^{2} - {\left(b^{3} - 3 \, a b c\right)} d^{3} e^{3}\right)} n\right)} \log\left(e x + d\right) - 2 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e - 3 \, a^{2} b d e^{5} + a^{3} e^{6} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{2} - {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{4}\right)} \log\left(d\right)}{6 \, {\left(c^{3} d^{9} e - 3 \, b c^{2} d^{8} e^{2} - 3 \, a^{2} b d^{4} e^{6} + a^{3} d^{3} e^{7} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{7} e^{3} - {\left(b^{3} + 6 \, a b c\right)} d^{6} e^{4} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{5} e^{5} + {\left(c^{3} d^{6} e^{4} - 3 \, b c^{2} d^{5} e^{5} - 3 \, a^{2} b d e^{9} + a^{3} e^{10} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{4} e^{6} - {\left(b^{3} + 6 \, a b c\right)} d^{3} e^{7} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{2} e^{8}\right)} x^{3} + 3 \, {\left(c^{3} d^{7} e^{3} - 3 \, b c^{2} d^{6} e^{4} - 3 \, a^{2} b d^{2} e^{8} + a^{3} d e^{9} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{5} e^{5} - {\left(b^{3} + 6 \, a b c\right)} d^{4} e^{6} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{3} e^{7}\right)} x^{2} + 3 \, {\left(c^{3} d^{8} e^{2} - 3 \, b c^{2} d^{7} e^{3} - 3 \, a^{2} b d^{3} e^{7} + a^{3} d^{2} e^{8} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{6} e^{4} - {\left(b^{3} + 6 \, a b c\right)} d^{5} e^{5} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{4} e^{6}\right)} x\right)}}\right]"," ",0,"[1/6*(2*(2*c^3*d^4*e^2 - 4*b*c^2*d^3*e^3 + 3*b^2*c*d^2*e^4 - b^3*d*e^5 + (a*b^2 - 2*a^2*c)*e^6)*n*x^2 + (10*c^3*d^5*e - 21*b*c^2*d^4*e^2 - a^2*b*e^6 + 4*(4*b^2*c + a*c^2)*d^3*e^3 - (5*b^3 + 6*a*b*c)*d^2*e^4 + 6*(a*b^2 - a^2*c)*d*e^5)*n*x - ((3*c^2*d^2*e^4 - 3*b*c*d*e^5 + (b^2 - a*c)*e^6)*n*x^3 + 3*(3*c^2*d^3*e^3 - 3*b*c*d^2*e^4 + (b^2 - a*c)*d*e^5)*n*x^2 + 3*(3*c^2*d^4*e^2 - 3*b*c*d^3*e^3 + (b^2 - a*c)*d^2*e^4)*n*x + (3*c^2*d^5*e - 3*b*c*d^4*e^2 + (b^2 - a*c)*d^3*e^3)*n)*sqrt(b^2 - 4*a*c)*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c - sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) + (6*c^3*d^6 - 13*b*c^2*d^5*e - a^2*b*d*e^5 + 2*(5*b^2*c + 2*a*c^2)*d^4*e^2 - 3*(b^3 + 2*a*b*c)*d^3*e^3 + 2*(2*a*b^2 - a^2*c)*d^2*e^4)*n + ((2*c^3*d^3*e^3 - 3*b*c^2*d^2*e^4 + 3*(b^2*c - 2*a*c^2)*d*e^5 - (b^3 - 3*a*b*c)*e^6)*n*x^3 + 3*(2*c^3*d^4*e^2 - 3*b*c^2*d^3*e^3 + 3*(b^2*c - 2*a*c^2)*d^2*e^4 - (b^3 - 3*a*b*c)*d*e^5)*n*x^2 + 3*(2*c^3*d^5*e - 3*b*c^2*d^4*e^2 + 3*(b^2*c - 2*a*c^2)*d^3*e^3 - (b^3 - 3*a*b*c)*d^2*e^4)*n*x + (3*b*c^2*d^5*e + 6*a^2*b*d*e^5 - 2*a^3*e^6 - 3*(b^2*c + 4*a*c^2)*d^4*e^2 + (b^3 + 15*a*b*c)*d^3*e^3 - 6*(a*b^2 + a^2*c)*d^2*e^4)*n)*log(c*x^2 + b*x + a) - 2*((2*c^3*d^3*e^3 - 3*b*c^2*d^2*e^4 + 3*(b^2*c - 2*a*c^2)*d*e^5 - (b^3 - 3*a*b*c)*e^6)*n*x^3 + 3*(2*c^3*d^4*e^2 - 3*b*c^2*d^3*e^3 + 3*(b^2*c - 2*a*c^2)*d^2*e^4 - (b^3 - 3*a*b*c)*d*e^5)*n*x^2 + 3*(2*c^3*d^5*e - 3*b*c^2*d^4*e^2 + 3*(b^2*c - 2*a*c^2)*d^3*e^3 - (b^3 - 3*a*b*c)*d^2*e^4)*n*x + (2*c^3*d^6 - 3*b*c^2*d^5*e + 3*(b^2*c - 2*a*c^2)*d^4*e^2 - (b^3 - 3*a*b*c)*d^3*e^3)*n)*log(e*x + d) - 2*(c^3*d^6 - 3*b*c^2*d^5*e - 3*a^2*b*d*e^5 + a^3*e^6 + 3*(b^2*c + a*c^2)*d^4*e^2 - (b^3 + 6*a*b*c)*d^3*e^3 + 3*(a*b^2 + a^2*c)*d^2*e^4)*log(d))/(c^3*d^9*e - 3*b*c^2*d^8*e^2 - 3*a^2*b*d^4*e^6 + a^3*d^3*e^7 + 3*(b^2*c + a*c^2)*d^7*e^3 - (b^3 + 6*a*b*c)*d^6*e^4 + 3*(a*b^2 + a^2*c)*d^5*e^5 + (c^3*d^6*e^4 - 3*b*c^2*d^5*e^5 - 3*a^2*b*d*e^9 + a^3*e^10 + 3*(b^2*c + a*c^2)*d^4*e^6 - (b^3 + 6*a*b*c)*d^3*e^7 + 3*(a*b^2 + a^2*c)*d^2*e^8)*x^3 + 3*(c^3*d^7*e^3 - 3*b*c^2*d^6*e^4 - 3*a^2*b*d^2*e^8 + a^3*d*e^9 + 3*(b^2*c + a*c^2)*d^5*e^5 - (b^3 + 6*a*b*c)*d^4*e^6 + 3*(a*b^2 + a^2*c)*d^3*e^7)*x^2 + 3*(c^3*d^8*e^2 - 3*b*c^2*d^7*e^3 - 3*a^2*b*d^3*e^7 + a^3*d^2*e^8 + 3*(b^2*c + a*c^2)*d^6*e^4 - (b^3 + 6*a*b*c)*d^5*e^5 + 3*(a*b^2 + a^2*c)*d^4*e^6)*x), 1/6*(2*(2*c^3*d^4*e^2 - 4*b*c^2*d^3*e^3 + 3*b^2*c*d^2*e^4 - b^3*d*e^5 + (a*b^2 - 2*a^2*c)*e^6)*n*x^2 + (10*c^3*d^5*e - 21*b*c^2*d^4*e^2 - a^2*b*e^6 + 4*(4*b^2*c + a*c^2)*d^3*e^3 - (5*b^3 + 6*a*b*c)*d^2*e^4 + 6*(a*b^2 - a^2*c)*d*e^5)*n*x + 2*((3*c^2*d^2*e^4 - 3*b*c*d*e^5 + (b^2 - a*c)*e^6)*n*x^3 + 3*(3*c^2*d^3*e^3 - 3*b*c*d^2*e^4 + (b^2 - a*c)*d*e^5)*n*x^2 + 3*(3*c^2*d^4*e^2 - 3*b*c*d^3*e^3 + (b^2 - a*c)*d^2*e^4)*n*x + (3*c^2*d^5*e - 3*b*c*d^4*e^2 + (b^2 - a*c)*d^3*e^3)*n)*sqrt(-b^2 + 4*a*c)*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) + (6*c^3*d^6 - 13*b*c^2*d^5*e - a^2*b*d*e^5 + 2*(5*b^2*c + 2*a*c^2)*d^4*e^2 - 3*(b^3 + 2*a*b*c)*d^3*e^3 + 2*(2*a*b^2 - a^2*c)*d^2*e^4)*n + ((2*c^3*d^3*e^3 - 3*b*c^2*d^2*e^4 + 3*(b^2*c - 2*a*c^2)*d*e^5 - (b^3 - 3*a*b*c)*e^6)*n*x^3 + 3*(2*c^3*d^4*e^2 - 3*b*c^2*d^3*e^3 + 3*(b^2*c - 2*a*c^2)*d^2*e^4 - (b^3 - 3*a*b*c)*d*e^5)*n*x^2 + 3*(2*c^3*d^5*e - 3*b*c^2*d^4*e^2 + 3*(b^2*c - 2*a*c^2)*d^3*e^3 - (b^3 - 3*a*b*c)*d^2*e^4)*n*x + (3*b*c^2*d^5*e + 6*a^2*b*d*e^5 - 2*a^3*e^6 - 3*(b^2*c + 4*a*c^2)*d^4*e^2 + (b^3 + 15*a*b*c)*d^3*e^3 - 6*(a*b^2 + a^2*c)*d^2*e^4)*n)*log(c*x^2 + b*x + a) - 2*((2*c^3*d^3*e^3 - 3*b*c^2*d^2*e^4 + 3*(b^2*c - 2*a*c^2)*d*e^5 - (b^3 - 3*a*b*c)*e^6)*n*x^3 + 3*(2*c^3*d^4*e^2 - 3*b*c^2*d^3*e^3 + 3*(b^2*c - 2*a*c^2)*d^2*e^4 - (b^3 - 3*a*b*c)*d*e^5)*n*x^2 + 3*(2*c^3*d^5*e - 3*b*c^2*d^4*e^2 + 3*(b^2*c - 2*a*c^2)*d^3*e^3 - (b^3 - 3*a*b*c)*d^2*e^4)*n*x + (2*c^3*d^6 - 3*b*c^2*d^5*e + 3*(b^2*c - 2*a*c^2)*d^4*e^2 - (b^3 - 3*a*b*c)*d^3*e^3)*n)*log(e*x + d) - 2*(c^3*d^6 - 3*b*c^2*d^5*e - 3*a^2*b*d*e^5 + a^3*e^6 + 3*(b^2*c + a*c^2)*d^4*e^2 - (b^3 + 6*a*b*c)*d^3*e^3 + 3*(a*b^2 + a^2*c)*d^2*e^4)*log(d))/(c^3*d^9*e - 3*b*c^2*d^8*e^2 - 3*a^2*b*d^4*e^6 + a^3*d^3*e^7 + 3*(b^2*c + a*c^2)*d^7*e^3 - (b^3 + 6*a*b*c)*d^6*e^4 + 3*(a*b^2 + a^2*c)*d^5*e^5 + (c^3*d^6*e^4 - 3*b*c^2*d^5*e^5 - 3*a^2*b*d*e^9 + a^3*e^10 + 3*(b^2*c + a*c^2)*d^4*e^6 - (b^3 + 6*a*b*c)*d^3*e^7 + 3*(a*b^2 + a^2*c)*d^2*e^8)*x^3 + 3*(c^3*d^7*e^3 - 3*b*c^2*d^6*e^4 - 3*a^2*b*d^2*e^8 + a^3*d*e^9 + 3*(b^2*c + a*c^2)*d^5*e^5 - (b^3 + 6*a*b*c)*d^4*e^6 + 3*(a*b^2 + a^2*c)*d^3*e^7)*x^2 + 3*(c^3*d^8*e^2 - 3*b*c^2*d^7*e^3 - 3*a^2*b*d^3*e^7 + a^3*d^2*e^8 + 3*(b^2*c + a*c^2)*d^6*e^4 - (b^3 + 6*a*b*c)*d^5*e^5 + 3*(a*b^2 + a^2*c)*d^4*e^6)*x)]","B",0
91,1,5824,0,118.673495," ","integrate(log(d*(c*x^2+b*x+a)^n)/(e*x+d)^5,x, algorithm=""fricas"")","\left[\frac{6 \, {\left(2 \, c^{4} d^{5} e^{3} - 5 \, b c^{3} d^{4} e^{4} + 2 \, {\left(3 \, b^{2} c^{2} - 2 \, a c^{3}\right)} d^{3} e^{5} - 2 \, {\left(2 \, b^{3} c - 3 \, a b c^{2}\right)} d^{2} e^{6} + {\left(b^{4} - 6 \, a^{2} c^{2}\right)} d e^{7} - {\left(a b^{3} - 3 \, a^{2} b c\right)} e^{8}\right)} n x^{3} + 3 \, {\left(14 \, c^{4} d^{6} e^{2} - 36 \, b c^{3} d^{5} e^{3} + {\left(43 \, b^{2} c^{2} - 22 \, a c^{3}\right)} d^{4} e^{4} - 4 \, {\left(7 \, b^{3} c - 8 \, a b c^{2}\right)} d^{3} e^{5} + {\left(7 \, b^{4} + 4 \, a b^{2} c - 38 \, a^{2} c^{2}\right)} d^{2} e^{6} - 4 \, {\left(2 \, a b^{3} - 5 \, a^{2} b c\right)} d e^{7} + {\left(a^{2} b^{2} - 2 \, a^{3} c\right)} e^{8}\right)} n x^{2} + 2 \, {\left(26 \, c^{4} d^{7} e - 70 \, b c^{3} d^{6} e^{2} - a^{3} b e^{8} + 12 \, {\left(7 \, b^{2} c^{2} - 2 \, a c^{3}\right)} d^{5} e^{3} - {\left(53 \, b^{3} c - 27 \, a b c^{2}\right)} d^{4} e^{4} + {\left(13 \, b^{4} + 24 \, a b^{2} c - 54 \, a^{2} c^{2}\right)} d^{3} e^{5} - 6 \, {\left(3 \, a b^{3} - 4 \, a^{2} b c\right)} d^{2} e^{6} + 2 \, {\left(3 \, a^{2} b^{2} - 2 \, a^{3} c\right)} d e^{7}\right)} n x + 3 \, {\left({\left(4 \, c^{3} d^{3} e^{5} - 6 \, b c^{2} d^{2} e^{6} + 4 \, {\left(b^{2} c - a c^{2}\right)} d e^{7} - {\left(b^{3} - 2 \, a b c\right)} e^{8}\right)} n x^{4} + 4 \, {\left(4 \, c^{3} d^{4} e^{4} - 6 \, b c^{2} d^{3} e^{5} + 4 \, {\left(b^{2} c - a c^{2}\right)} d^{2} e^{6} - {\left(b^{3} - 2 \, a b c\right)} d e^{7}\right)} n x^{3} + 6 \, {\left(4 \, c^{3} d^{5} e^{3} - 6 \, b c^{2} d^{4} e^{4} + 4 \, {\left(b^{2} c - a c^{2}\right)} d^{3} e^{5} - {\left(b^{3} - 2 \, a b c\right)} d^{2} e^{6}\right)} n x^{2} + 4 \, {\left(4 \, c^{3} d^{6} e^{2} - 6 \, b c^{2} d^{5} e^{3} + 4 \, {\left(b^{2} c - a c^{2}\right)} d^{4} e^{4} - {\left(b^{3} - 2 \, a b c\right)} d^{3} e^{5}\right)} n x + {\left(4 \, c^{3} d^{7} e - 6 \, b c^{2} d^{6} e^{2} + 4 \, {\left(b^{2} c - a c^{2}\right)} d^{5} e^{3} - {\left(b^{3} - 2 \, a b c\right)} d^{4} e^{4}\right)} n\right)} \sqrt{b^{2} - 4 \, a c} \log\left(\frac{2 \, c^{2} x^{2} + 2 \, b c x + b^{2} - 2 \, a c + \sqrt{b^{2} - 4 \, a c} {\left(2 \, c x + b\right)}}{c x^{2} + b x + a}\right) + {\left(22 \, c^{4} d^{8} - 62 \, b c^{3} d^{7} e - 2 \, a^{3} b d e^{7} + 3 \, {\left(25 \, b^{2} c^{2} - 2 \, a c^{3}\right)} d^{6} e^{2} - 2 \, {\left(23 \, b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} + {\left(11 \, b^{4} + 36 \, a b^{2} c - 30 \, a^{2} c^{2}\right)} d^{4} e^{4} - 6 \, {\left(3 \, a b^{3} - a^{2} b c\right)} d^{3} e^{5} + {\left(9 \, a^{2} b^{2} - 2 \, a^{3} c\right)} d^{2} e^{6}\right)} n + 3 \, {\left({\left(2 \, c^{4} d^{4} e^{4} - 4 \, b c^{3} d^{3} e^{5} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{2} e^{6} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d e^{7} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} e^{8}\right)} n x^{4} + 4 \, {\left(2 \, c^{4} d^{5} e^{3} - 4 \, b c^{3} d^{4} e^{4} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{3} e^{5} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{2} e^{6} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d e^{7}\right)} n x^{3} + 6 \, {\left(2 \, c^{4} d^{6} e^{2} - 4 \, b c^{3} d^{5} e^{3} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{4} e^{4} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{3} e^{5} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d^{2} e^{6}\right)} n x^{2} + 4 \, {\left(2 \, c^{4} d^{7} e - 4 \, b c^{3} d^{6} e^{2} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{5} e^{3} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{4} e^{4} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d^{3} e^{5}\right)} n x + {\left(4 \, b c^{3} d^{7} e + 8 \, a^{3} b d e^{7} - 2 \, a^{4} e^{8} - 2 \, {\left(3 \, b^{2} c^{2} + 10 \, a c^{3}\right)} d^{6} e^{2} + 4 \, {\left(b^{3} c + 9 \, a b c^{2}\right)} d^{5} e^{3} - {\left(b^{4} + 28 \, a b^{2} c + 10 \, a^{2} c^{2}\right)} d^{4} e^{4} + 8 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} - 4 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6}\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 6 \, {\left({\left(2 \, c^{4} d^{4} e^{4} - 4 \, b c^{3} d^{3} e^{5} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{2} e^{6} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d e^{7} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} e^{8}\right)} n x^{4} + 4 \, {\left(2 \, c^{4} d^{5} e^{3} - 4 \, b c^{3} d^{4} e^{4} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{3} e^{5} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{2} e^{6} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d e^{7}\right)} n x^{3} + 6 \, {\left(2 \, c^{4} d^{6} e^{2} - 4 \, b c^{3} d^{5} e^{3} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{4} e^{4} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{3} e^{5} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d^{2} e^{6}\right)} n x^{2} + 4 \, {\left(2 \, c^{4} d^{7} e - 4 \, b c^{3} d^{6} e^{2} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{5} e^{3} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{4} e^{4} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d^{3} e^{5}\right)} n x + {\left(2 \, c^{4} d^{8} - 4 \, b c^{3} d^{7} e + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{6} e^{2} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{5} e^{3} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d^{4} e^{4}\right)} n\right)} \log\left(e x + d\right) - 6 \, {\left(c^{4} d^{8} - 4 \, b c^{3} d^{7} e - 4 \, a^{3} b d e^{7} + a^{4} e^{8} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{2} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{4} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6}\right)} \log\left(d\right)}{24 \, {\left(c^{4} d^{12} e - 4 \, b c^{3} d^{11} e^{2} - 4 \, a^{3} b d^{5} e^{8} + a^{4} d^{4} e^{9} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{10} e^{3} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{9} e^{4} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{8} e^{5} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{7} e^{6} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{6} e^{7} + {\left(c^{4} d^{8} e^{5} - 4 \, b c^{3} d^{7} e^{6} - 4 \, a^{3} b d e^{12} + a^{4} e^{13} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{7} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{8} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{9} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{10} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{11}\right)} x^{4} + 4 \, {\left(c^{4} d^{9} e^{4} - 4 \, b c^{3} d^{8} e^{5} - 4 \, a^{3} b d^{2} e^{11} + a^{4} d e^{12} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{7} e^{6} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{6} e^{7} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{5} e^{8} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{4} e^{9} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{3} e^{10}\right)} x^{3} + 6 \, {\left(c^{4} d^{10} e^{3} - 4 \, b c^{3} d^{9} e^{4} - 4 \, a^{3} b d^{3} e^{10} + a^{4} d^{2} e^{11} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{8} e^{5} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{7} e^{6} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{6} e^{7} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{5} e^{8} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{4} e^{9}\right)} x^{2} + 4 \, {\left(c^{4} d^{11} e^{2} - 4 \, b c^{3} d^{10} e^{3} - 4 \, a^{3} b d^{4} e^{9} + a^{4} d^{3} e^{10} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{9} e^{4} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{8} e^{5} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{7} e^{6} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{6} e^{7} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{5} e^{8}\right)} x\right)}}, \frac{6 \, {\left(2 \, c^{4} d^{5} e^{3} - 5 \, b c^{3} d^{4} e^{4} + 2 \, {\left(3 \, b^{2} c^{2} - 2 \, a c^{3}\right)} d^{3} e^{5} - 2 \, {\left(2 \, b^{3} c - 3 \, a b c^{2}\right)} d^{2} e^{6} + {\left(b^{4} - 6 \, a^{2} c^{2}\right)} d e^{7} - {\left(a b^{3} - 3 \, a^{2} b c\right)} e^{8}\right)} n x^{3} + 3 \, {\left(14 \, c^{4} d^{6} e^{2} - 36 \, b c^{3} d^{5} e^{3} + {\left(43 \, b^{2} c^{2} - 22 \, a c^{3}\right)} d^{4} e^{4} - 4 \, {\left(7 \, b^{3} c - 8 \, a b c^{2}\right)} d^{3} e^{5} + {\left(7 \, b^{4} + 4 \, a b^{2} c - 38 \, a^{2} c^{2}\right)} d^{2} e^{6} - 4 \, {\left(2 \, a b^{3} - 5 \, a^{2} b c\right)} d e^{7} + {\left(a^{2} b^{2} - 2 \, a^{3} c\right)} e^{8}\right)} n x^{2} + 2 \, {\left(26 \, c^{4} d^{7} e - 70 \, b c^{3} d^{6} e^{2} - a^{3} b e^{8} + 12 \, {\left(7 \, b^{2} c^{2} - 2 \, a c^{3}\right)} d^{5} e^{3} - {\left(53 \, b^{3} c - 27 \, a b c^{2}\right)} d^{4} e^{4} + {\left(13 \, b^{4} + 24 \, a b^{2} c - 54 \, a^{2} c^{2}\right)} d^{3} e^{5} - 6 \, {\left(3 \, a b^{3} - 4 \, a^{2} b c\right)} d^{2} e^{6} + 2 \, {\left(3 \, a^{2} b^{2} - 2 \, a^{3} c\right)} d e^{7}\right)} n x + 6 \, {\left({\left(4 \, c^{3} d^{3} e^{5} - 6 \, b c^{2} d^{2} e^{6} + 4 \, {\left(b^{2} c - a c^{2}\right)} d e^{7} - {\left(b^{3} - 2 \, a b c\right)} e^{8}\right)} n x^{4} + 4 \, {\left(4 \, c^{3} d^{4} e^{4} - 6 \, b c^{2} d^{3} e^{5} + 4 \, {\left(b^{2} c - a c^{2}\right)} d^{2} e^{6} - {\left(b^{3} - 2 \, a b c\right)} d e^{7}\right)} n x^{3} + 6 \, {\left(4 \, c^{3} d^{5} e^{3} - 6 \, b c^{2} d^{4} e^{4} + 4 \, {\left(b^{2} c - a c^{2}\right)} d^{3} e^{5} - {\left(b^{3} - 2 \, a b c\right)} d^{2} e^{6}\right)} n x^{2} + 4 \, {\left(4 \, c^{3} d^{6} e^{2} - 6 \, b c^{2} d^{5} e^{3} + 4 \, {\left(b^{2} c - a c^{2}\right)} d^{4} e^{4} - {\left(b^{3} - 2 \, a b c\right)} d^{3} e^{5}\right)} n x + {\left(4 \, c^{3} d^{7} e - 6 \, b c^{2} d^{6} e^{2} + 4 \, {\left(b^{2} c - a c^{2}\right)} d^{5} e^{3} - {\left(b^{3} - 2 \, a b c\right)} d^{4} e^{4}\right)} n\right)} \sqrt{-b^{2} + 4 \, a c} \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c x + b\right)}}{b^{2} - 4 \, a c}\right) + {\left(22 \, c^{4} d^{8} - 62 \, b c^{3} d^{7} e - 2 \, a^{3} b d e^{7} + 3 \, {\left(25 \, b^{2} c^{2} - 2 \, a c^{3}\right)} d^{6} e^{2} - 2 \, {\left(23 \, b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} + {\left(11 \, b^{4} + 36 \, a b^{2} c - 30 \, a^{2} c^{2}\right)} d^{4} e^{4} - 6 \, {\left(3 \, a b^{3} - a^{2} b c\right)} d^{3} e^{5} + {\left(9 \, a^{2} b^{2} - 2 \, a^{3} c\right)} d^{2} e^{6}\right)} n + 3 \, {\left({\left(2 \, c^{4} d^{4} e^{4} - 4 \, b c^{3} d^{3} e^{5} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{2} e^{6} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d e^{7} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} e^{8}\right)} n x^{4} + 4 \, {\left(2 \, c^{4} d^{5} e^{3} - 4 \, b c^{3} d^{4} e^{4} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{3} e^{5} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{2} e^{6} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d e^{7}\right)} n x^{3} + 6 \, {\left(2 \, c^{4} d^{6} e^{2} - 4 \, b c^{3} d^{5} e^{3} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{4} e^{4} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{3} e^{5} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d^{2} e^{6}\right)} n x^{2} + 4 \, {\left(2 \, c^{4} d^{7} e - 4 \, b c^{3} d^{6} e^{2} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{5} e^{3} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{4} e^{4} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d^{3} e^{5}\right)} n x + {\left(4 \, b c^{3} d^{7} e + 8 \, a^{3} b d e^{7} - 2 \, a^{4} e^{8} - 2 \, {\left(3 \, b^{2} c^{2} + 10 \, a c^{3}\right)} d^{6} e^{2} + 4 \, {\left(b^{3} c + 9 \, a b c^{2}\right)} d^{5} e^{3} - {\left(b^{4} + 28 \, a b^{2} c + 10 \, a^{2} c^{2}\right)} d^{4} e^{4} + 8 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} - 4 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6}\right)} n\right)} \log\left(c x^{2} + b x + a\right) - 6 \, {\left({\left(2 \, c^{4} d^{4} e^{4} - 4 \, b c^{3} d^{3} e^{5} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{2} e^{6} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d e^{7} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} e^{8}\right)} n x^{4} + 4 \, {\left(2 \, c^{4} d^{5} e^{3} - 4 \, b c^{3} d^{4} e^{4} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{3} e^{5} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{2} e^{6} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d e^{7}\right)} n x^{3} + 6 \, {\left(2 \, c^{4} d^{6} e^{2} - 4 \, b c^{3} d^{5} e^{3} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{4} e^{4} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{3} e^{5} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d^{2} e^{6}\right)} n x^{2} + 4 \, {\left(2 \, c^{4} d^{7} e - 4 \, b c^{3} d^{6} e^{2} + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{5} e^{3} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{4} e^{4} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d^{3} e^{5}\right)} n x + {\left(2 \, c^{4} d^{8} - 4 \, b c^{3} d^{7} e + 6 \, {\left(b^{2} c^{2} - 2 \, a c^{3}\right)} d^{6} e^{2} - 4 \, {\left(b^{3} c - 3 \, a b c^{2}\right)} d^{5} e^{3} + {\left(b^{4} - 4 \, a b^{2} c + 2 \, a^{2} c^{2}\right)} d^{4} e^{4}\right)} n\right)} \log\left(e x + d\right) - 6 \, {\left(c^{4} d^{8} - 4 \, b c^{3} d^{7} e - 4 \, a^{3} b d e^{7} + a^{4} e^{8} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{2} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{3} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{4} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{5} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{6}\right)} \log\left(d\right)}{24 \, {\left(c^{4} d^{12} e - 4 \, b c^{3} d^{11} e^{2} - 4 \, a^{3} b d^{5} e^{8} + a^{4} d^{4} e^{9} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{10} e^{3} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{9} e^{4} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{8} e^{5} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{7} e^{6} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{6} e^{7} + {\left(c^{4} d^{8} e^{5} - 4 \, b c^{3} d^{7} e^{6} - 4 \, a^{3} b d e^{12} + a^{4} e^{13} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{6} e^{7} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{5} e^{8} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{4} e^{9} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{3} e^{10} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{2} e^{11}\right)} x^{4} + 4 \, {\left(c^{4} d^{9} e^{4} - 4 \, b c^{3} d^{8} e^{5} - 4 \, a^{3} b d^{2} e^{11} + a^{4} d e^{12} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{7} e^{6} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{6} e^{7} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{5} e^{8} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{4} e^{9} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{3} e^{10}\right)} x^{3} + 6 \, {\left(c^{4} d^{10} e^{3} - 4 \, b c^{3} d^{9} e^{4} - 4 \, a^{3} b d^{3} e^{10} + a^{4} d^{2} e^{11} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{8} e^{5} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{7} e^{6} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{6} e^{7} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{5} e^{8} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{4} e^{9}\right)} x^{2} + 4 \, {\left(c^{4} d^{11} e^{2} - 4 \, b c^{3} d^{10} e^{3} - 4 \, a^{3} b d^{4} e^{9} + a^{4} d^{3} e^{10} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} d^{9} e^{4} - 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} d^{8} e^{5} + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} d^{7} e^{6} - 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} d^{6} e^{7} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} d^{5} e^{8}\right)} x\right)}}\right]"," ",0,"[1/24*(6*(2*c^4*d^5*e^3 - 5*b*c^3*d^4*e^4 + 2*(3*b^2*c^2 - 2*a*c^3)*d^3*e^5 - 2*(2*b^3*c - 3*a*b*c^2)*d^2*e^6 + (b^4 - 6*a^2*c^2)*d*e^7 - (a*b^3 - 3*a^2*b*c)*e^8)*n*x^3 + 3*(14*c^4*d^6*e^2 - 36*b*c^3*d^5*e^3 + (43*b^2*c^2 - 22*a*c^3)*d^4*e^4 - 4*(7*b^3*c - 8*a*b*c^2)*d^3*e^5 + (7*b^4 + 4*a*b^2*c - 38*a^2*c^2)*d^2*e^6 - 4*(2*a*b^3 - 5*a^2*b*c)*d*e^7 + (a^2*b^2 - 2*a^3*c)*e^8)*n*x^2 + 2*(26*c^4*d^7*e - 70*b*c^3*d^6*e^2 - a^3*b*e^8 + 12*(7*b^2*c^2 - 2*a*c^3)*d^5*e^3 - (53*b^3*c - 27*a*b*c^2)*d^4*e^4 + (13*b^4 + 24*a*b^2*c - 54*a^2*c^2)*d^3*e^5 - 6*(3*a*b^3 - 4*a^2*b*c)*d^2*e^6 + 2*(3*a^2*b^2 - 2*a^3*c)*d*e^7)*n*x + 3*((4*c^3*d^3*e^5 - 6*b*c^2*d^2*e^6 + 4*(b^2*c - a*c^2)*d*e^7 - (b^3 - 2*a*b*c)*e^8)*n*x^4 + 4*(4*c^3*d^4*e^4 - 6*b*c^2*d^3*e^5 + 4*(b^2*c - a*c^2)*d^2*e^6 - (b^3 - 2*a*b*c)*d*e^7)*n*x^3 + 6*(4*c^3*d^5*e^3 - 6*b*c^2*d^4*e^4 + 4*(b^2*c - a*c^2)*d^3*e^5 - (b^3 - 2*a*b*c)*d^2*e^6)*n*x^2 + 4*(4*c^3*d^6*e^2 - 6*b*c^2*d^5*e^3 + 4*(b^2*c - a*c^2)*d^4*e^4 - (b^3 - 2*a*b*c)*d^3*e^5)*n*x + (4*c^3*d^7*e - 6*b*c^2*d^6*e^2 + 4*(b^2*c - a*c^2)*d^5*e^3 - (b^3 - 2*a*b*c)*d^4*e^4)*n)*sqrt(b^2 - 4*a*c)*log((2*c^2*x^2 + 2*b*c*x + b^2 - 2*a*c + sqrt(b^2 - 4*a*c)*(2*c*x + b))/(c*x^2 + b*x + a)) + (22*c^4*d^8 - 62*b*c^3*d^7*e - 2*a^3*b*d*e^7 + 3*(25*b^2*c^2 - 2*a*c^3)*d^6*e^2 - 2*(23*b^3*c + 3*a*b*c^2)*d^5*e^3 + (11*b^4 + 36*a*b^2*c - 30*a^2*c^2)*d^4*e^4 - 6*(3*a*b^3 - a^2*b*c)*d^3*e^5 + (9*a^2*b^2 - 2*a^3*c)*d^2*e^6)*n + 3*((2*c^4*d^4*e^4 - 4*b*c^3*d^3*e^5 + 6*(b^2*c^2 - 2*a*c^3)*d^2*e^6 - 4*(b^3*c - 3*a*b*c^2)*d*e^7 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*e^8)*n*x^4 + 4*(2*c^4*d^5*e^3 - 4*b*c^3*d^4*e^4 + 6*(b^2*c^2 - 2*a*c^3)*d^3*e^5 - 4*(b^3*c - 3*a*b*c^2)*d^2*e^6 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d*e^7)*n*x^3 + 6*(2*c^4*d^6*e^2 - 4*b*c^3*d^5*e^3 + 6*(b^2*c^2 - 2*a*c^3)*d^4*e^4 - 4*(b^3*c - 3*a*b*c^2)*d^3*e^5 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d^2*e^6)*n*x^2 + 4*(2*c^4*d^7*e - 4*b*c^3*d^6*e^2 + 6*(b^2*c^2 - 2*a*c^3)*d^5*e^3 - 4*(b^3*c - 3*a*b*c^2)*d^4*e^4 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d^3*e^5)*n*x + (4*b*c^3*d^7*e + 8*a^3*b*d*e^7 - 2*a^4*e^8 - 2*(3*b^2*c^2 + 10*a*c^3)*d^6*e^2 + 4*(b^3*c + 9*a*b*c^2)*d^5*e^3 - (b^4 + 28*a*b^2*c + 10*a^2*c^2)*d^4*e^4 + 8*(a*b^3 + 3*a^2*b*c)*d^3*e^5 - 4*(3*a^2*b^2 + 2*a^3*c)*d^2*e^6)*n)*log(c*x^2 + b*x + a) - 6*((2*c^4*d^4*e^4 - 4*b*c^3*d^3*e^5 + 6*(b^2*c^2 - 2*a*c^3)*d^2*e^6 - 4*(b^3*c - 3*a*b*c^2)*d*e^7 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*e^8)*n*x^4 + 4*(2*c^4*d^5*e^3 - 4*b*c^3*d^4*e^4 + 6*(b^2*c^2 - 2*a*c^3)*d^3*e^5 - 4*(b^3*c - 3*a*b*c^2)*d^2*e^6 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d*e^7)*n*x^3 + 6*(2*c^4*d^6*e^2 - 4*b*c^3*d^5*e^3 + 6*(b^2*c^2 - 2*a*c^3)*d^4*e^4 - 4*(b^3*c - 3*a*b*c^2)*d^3*e^5 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d^2*e^6)*n*x^2 + 4*(2*c^4*d^7*e - 4*b*c^3*d^6*e^2 + 6*(b^2*c^2 - 2*a*c^3)*d^5*e^3 - 4*(b^3*c - 3*a*b*c^2)*d^4*e^4 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d^3*e^5)*n*x + (2*c^4*d^8 - 4*b*c^3*d^7*e + 6*(b^2*c^2 - 2*a*c^3)*d^6*e^2 - 4*(b^3*c - 3*a*b*c^2)*d^5*e^3 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d^4*e^4)*n)*log(e*x + d) - 6*(c^4*d^8 - 4*b*c^3*d^7*e - 4*a^3*b*d*e^7 + a^4*e^8 + 2*(3*b^2*c^2 + 2*a*c^3)*d^6*e^2 - 4*(b^3*c + 3*a*b*c^2)*d^5*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^4 - 4*(a*b^3 + 3*a^2*b*c)*d^3*e^5 + 2*(3*a^2*b^2 + 2*a^3*c)*d^2*e^6)*log(d))/(c^4*d^12*e - 4*b*c^3*d^11*e^2 - 4*a^3*b*d^5*e^8 + a^4*d^4*e^9 + 2*(3*b^2*c^2 + 2*a*c^3)*d^10*e^3 - 4*(b^3*c + 3*a*b*c^2)*d^9*e^4 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^8*e^5 - 4*(a*b^3 + 3*a^2*b*c)*d^7*e^6 + 2*(3*a^2*b^2 + 2*a^3*c)*d^6*e^7 + (c^4*d^8*e^5 - 4*b*c^3*d^7*e^6 - 4*a^3*b*d*e^12 + a^4*e^13 + 2*(3*b^2*c^2 + 2*a*c^3)*d^6*e^7 - 4*(b^3*c + 3*a*b*c^2)*d^5*e^8 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^9 - 4*(a*b^3 + 3*a^2*b*c)*d^3*e^10 + 2*(3*a^2*b^2 + 2*a^3*c)*d^2*e^11)*x^4 + 4*(c^4*d^9*e^4 - 4*b*c^3*d^8*e^5 - 4*a^3*b*d^2*e^11 + a^4*d*e^12 + 2*(3*b^2*c^2 + 2*a*c^3)*d^7*e^6 - 4*(b^3*c + 3*a*b*c^2)*d^6*e^7 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^5*e^8 - 4*(a*b^3 + 3*a^2*b*c)*d^4*e^9 + 2*(3*a^2*b^2 + 2*a^3*c)*d^3*e^10)*x^3 + 6*(c^4*d^10*e^3 - 4*b*c^3*d^9*e^4 - 4*a^3*b*d^3*e^10 + a^4*d^2*e^11 + 2*(3*b^2*c^2 + 2*a*c^3)*d^8*e^5 - 4*(b^3*c + 3*a*b*c^2)*d^7*e^6 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^6*e^7 - 4*(a*b^3 + 3*a^2*b*c)*d^5*e^8 + 2*(3*a^2*b^2 + 2*a^3*c)*d^4*e^9)*x^2 + 4*(c^4*d^11*e^2 - 4*b*c^3*d^10*e^3 - 4*a^3*b*d^4*e^9 + a^4*d^3*e^10 + 2*(3*b^2*c^2 + 2*a*c^3)*d^9*e^4 - 4*(b^3*c + 3*a*b*c^2)*d^8*e^5 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^7*e^6 - 4*(a*b^3 + 3*a^2*b*c)*d^6*e^7 + 2*(3*a^2*b^2 + 2*a^3*c)*d^5*e^8)*x), 1/24*(6*(2*c^4*d^5*e^3 - 5*b*c^3*d^4*e^4 + 2*(3*b^2*c^2 - 2*a*c^3)*d^3*e^5 - 2*(2*b^3*c - 3*a*b*c^2)*d^2*e^6 + (b^4 - 6*a^2*c^2)*d*e^7 - (a*b^3 - 3*a^2*b*c)*e^8)*n*x^3 + 3*(14*c^4*d^6*e^2 - 36*b*c^3*d^5*e^3 + (43*b^2*c^2 - 22*a*c^3)*d^4*e^4 - 4*(7*b^3*c - 8*a*b*c^2)*d^3*e^5 + (7*b^4 + 4*a*b^2*c - 38*a^2*c^2)*d^2*e^6 - 4*(2*a*b^3 - 5*a^2*b*c)*d*e^7 + (a^2*b^2 - 2*a^3*c)*e^8)*n*x^2 + 2*(26*c^4*d^7*e - 70*b*c^3*d^6*e^2 - a^3*b*e^8 + 12*(7*b^2*c^2 - 2*a*c^3)*d^5*e^3 - (53*b^3*c - 27*a*b*c^2)*d^4*e^4 + (13*b^4 + 24*a*b^2*c - 54*a^2*c^2)*d^3*e^5 - 6*(3*a*b^3 - 4*a^2*b*c)*d^2*e^6 + 2*(3*a^2*b^2 - 2*a^3*c)*d*e^7)*n*x + 6*((4*c^3*d^3*e^5 - 6*b*c^2*d^2*e^6 + 4*(b^2*c - a*c^2)*d*e^7 - (b^3 - 2*a*b*c)*e^8)*n*x^4 + 4*(4*c^3*d^4*e^4 - 6*b*c^2*d^3*e^5 + 4*(b^2*c - a*c^2)*d^2*e^6 - (b^3 - 2*a*b*c)*d*e^7)*n*x^3 + 6*(4*c^3*d^5*e^3 - 6*b*c^2*d^4*e^4 + 4*(b^2*c - a*c^2)*d^3*e^5 - (b^3 - 2*a*b*c)*d^2*e^6)*n*x^2 + 4*(4*c^3*d^6*e^2 - 6*b*c^2*d^5*e^3 + 4*(b^2*c - a*c^2)*d^4*e^4 - (b^3 - 2*a*b*c)*d^3*e^5)*n*x + (4*c^3*d^7*e - 6*b*c^2*d^6*e^2 + 4*(b^2*c - a*c^2)*d^5*e^3 - (b^3 - 2*a*b*c)*d^4*e^4)*n)*sqrt(-b^2 + 4*a*c)*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*x + b)/(b^2 - 4*a*c)) + (22*c^4*d^8 - 62*b*c^3*d^7*e - 2*a^3*b*d*e^7 + 3*(25*b^2*c^2 - 2*a*c^3)*d^6*e^2 - 2*(23*b^3*c + 3*a*b*c^2)*d^5*e^3 + (11*b^4 + 36*a*b^2*c - 30*a^2*c^2)*d^4*e^4 - 6*(3*a*b^3 - a^2*b*c)*d^3*e^5 + (9*a^2*b^2 - 2*a^3*c)*d^2*e^6)*n + 3*((2*c^4*d^4*e^4 - 4*b*c^3*d^3*e^5 + 6*(b^2*c^2 - 2*a*c^3)*d^2*e^6 - 4*(b^3*c - 3*a*b*c^2)*d*e^7 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*e^8)*n*x^4 + 4*(2*c^4*d^5*e^3 - 4*b*c^3*d^4*e^4 + 6*(b^2*c^2 - 2*a*c^3)*d^3*e^5 - 4*(b^3*c - 3*a*b*c^2)*d^2*e^6 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d*e^7)*n*x^3 + 6*(2*c^4*d^6*e^2 - 4*b*c^3*d^5*e^3 + 6*(b^2*c^2 - 2*a*c^3)*d^4*e^4 - 4*(b^3*c - 3*a*b*c^2)*d^3*e^5 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d^2*e^6)*n*x^2 + 4*(2*c^4*d^7*e - 4*b*c^3*d^6*e^2 + 6*(b^2*c^2 - 2*a*c^3)*d^5*e^3 - 4*(b^3*c - 3*a*b*c^2)*d^4*e^4 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d^3*e^5)*n*x + (4*b*c^3*d^7*e + 8*a^3*b*d*e^7 - 2*a^4*e^8 - 2*(3*b^2*c^2 + 10*a*c^3)*d^6*e^2 + 4*(b^3*c + 9*a*b*c^2)*d^5*e^3 - (b^4 + 28*a*b^2*c + 10*a^2*c^2)*d^4*e^4 + 8*(a*b^3 + 3*a^2*b*c)*d^3*e^5 - 4*(3*a^2*b^2 + 2*a^3*c)*d^2*e^6)*n)*log(c*x^2 + b*x + a) - 6*((2*c^4*d^4*e^4 - 4*b*c^3*d^3*e^5 + 6*(b^2*c^2 - 2*a*c^3)*d^2*e^6 - 4*(b^3*c - 3*a*b*c^2)*d*e^7 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*e^8)*n*x^4 + 4*(2*c^4*d^5*e^3 - 4*b*c^3*d^4*e^4 + 6*(b^2*c^2 - 2*a*c^3)*d^3*e^5 - 4*(b^3*c - 3*a*b*c^2)*d^2*e^6 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d*e^7)*n*x^3 + 6*(2*c^4*d^6*e^2 - 4*b*c^3*d^5*e^3 + 6*(b^2*c^2 - 2*a*c^3)*d^4*e^4 - 4*(b^3*c - 3*a*b*c^2)*d^3*e^5 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d^2*e^6)*n*x^2 + 4*(2*c^4*d^7*e - 4*b*c^3*d^6*e^2 + 6*(b^2*c^2 - 2*a*c^3)*d^5*e^3 - 4*(b^3*c - 3*a*b*c^2)*d^4*e^4 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d^3*e^5)*n*x + (2*c^4*d^8 - 4*b*c^3*d^7*e + 6*(b^2*c^2 - 2*a*c^3)*d^6*e^2 - 4*(b^3*c - 3*a*b*c^2)*d^5*e^3 + (b^4 - 4*a*b^2*c + 2*a^2*c^2)*d^4*e^4)*n)*log(e*x + d) - 6*(c^4*d^8 - 4*b*c^3*d^7*e - 4*a^3*b*d*e^7 + a^4*e^8 + 2*(3*b^2*c^2 + 2*a*c^3)*d^6*e^2 - 4*(b^3*c + 3*a*b*c^2)*d^5*e^3 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^4 - 4*(a*b^3 + 3*a^2*b*c)*d^3*e^5 + 2*(3*a^2*b^2 + 2*a^3*c)*d^2*e^6)*log(d))/(c^4*d^12*e - 4*b*c^3*d^11*e^2 - 4*a^3*b*d^5*e^8 + a^4*d^4*e^9 + 2*(3*b^2*c^2 + 2*a*c^3)*d^10*e^3 - 4*(b^3*c + 3*a*b*c^2)*d^9*e^4 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^8*e^5 - 4*(a*b^3 + 3*a^2*b*c)*d^7*e^6 + 2*(3*a^2*b^2 + 2*a^3*c)*d^6*e^7 + (c^4*d^8*e^5 - 4*b*c^3*d^7*e^6 - 4*a^3*b*d*e^12 + a^4*e^13 + 2*(3*b^2*c^2 + 2*a*c^3)*d^6*e^7 - 4*(b^3*c + 3*a*b*c^2)*d^5*e^8 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^4*e^9 - 4*(a*b^3 + 3*a^2*b*c)*d^3*e^10 + 2*(3*a^2*b^2 + 2*a^3*c)*d^2*e^11)*x^4 + 4*(c^4*d^9*e^4 - 4*b*c^3*d^8*e^5 - 4*a^3*b*d^2*e^11 + a^4*d*e^12 + 2*(3*b^2*c^2 + 2*a*c^3)*d^7*e^6 - 4*(b^3*c + 3*a*b*c^2)*d^6*e^7 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^5*e^8 - 4*(a*b^3 + 3*a^2*b*c)*d^4*e^9 + 2*(3*a^2*b^2 + 2*a^3*c)*d^3*e^10)*x^3 + 6*(c^4*d^10*e^3 - 4*b*c^3*d^9*e^4 - 4*a^3*b*d^3*e^10 + a^4*d^2*e^11 + 2*(3*b^2*c^2 + 2*a*c^3)*d^8*e^5 - 4*(b^3*c + 3*a*b*c^2)*d^7*e^6 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^6*e^7 - 4*(a*b^3 + 3*a^2*b*c)*d^5*e^8 + 2*(3*a^2*b^2 + 2*a^3*c)*d^4*e^9)*x^2 + 4*(c^4*d^11*e^2 - 4*b*c^3*d^10*e^3 - 4*a^3*b*d^4*e^9 + a^4*d^3*e^10 + 2*(3*b^2*c^2 + 2*a*c^3)*d^9*e^4 - 4*(b^3*c + 3*a*b*c^2)*d^8*e^5 + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*d^7*e^6 - 4*(a*b^3 + 3*a^2*b*c)*d^6*e^7 + 2*(3*a^2*b^2 + 2*a^3*c)*d^5*e^8)*x)]","B",0
92,0,0,0,0.715532," ","integrate(log(d*(c*x^2+a)^n)/(c*e*x^2+a*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(c x^{2} + a\right)}^{n} d\right)}{c e x^{2} + a e}, x\right)"," ",0,"integral(log((c*x^2 + a)^n*d)/(c*e*x^2 + a*e), x)","F",0
93,0,0,0,0.752406," ","integrate(log(d*(c*x^2+b*x+a)^n)/(c*e*x^2+b*e*x+a*e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(c x^{2} + b x + a\right)}^{n} d\right)}{c e x^{2} + b e x + a e}, x\right)"," ",0,"integral(log((c*x^2 + b*x + a)^n*d)/(c*e*x^2 + b*e*x + a*e), x)","F",0
94,0,0,0,0.681943," ","integrate(log(g*(c*x^2+b*x+a)^n)/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(c x^{2} + b x + a\right)}^{n} g\right)}{e x^{2} + d}, x\right)"," ",0,"integral(log((c*x^2 + b*x + a)^n*g)/(e*x^2 + d), x)","F",0
95,0,0,0,0.616599," ","integrate(log(g*(c*x^2+b*x+a)^n)/(f*x^2+e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(c x^{2} + b x + a\right)}^{n} g\right)}{f x^{2} + e x + d}, x\right)"," ",0,"integral(log((c*x^2 + b*x + a)^n*g)/(f*x^2 + e*x + d), x)","F",0
96,0,0,0,0.644802," ","integrate(log(d*(c*x^2+b*x)^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\log\left({\left(c x^{2} + b x\right)}^{n} d\right)^{2}, x\right)"," ",0,"integral(log((c*x^2 + b*x)^n*d)^2, x)","F",0
97,0,0,0,0.825889," ","integrate(log(d*(c*x^2+b*x+a)^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\log\left({\left(c x^{2} + b x + a\right)}^{n} d\right)^{2}, x\right)"," ",0,"integral(log((c*x^2 + b*x + a)^n*d)^2, x)","F",0
98,0,0,0,0.626087," ","integrate(x^2*log(x^2+x+1)/(x^2+3*x+2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2} \log\left(x^{2} + x + 1\right)}{x^{2} + 3 \, x + 2}, x\right)"," ",0,"integral(x^2*log(x^2 + x + 1)/(x^2 + 3*x + 2), x)","F",0
99,0,0,0,0.664341," ","integrate(log(x^2+x+1)^2,x, algorithm=""fricas"")","{\rm integral}\left(\log\left(x^{2} + x + 1\right)^{2}, x\right)"," ",0,"integral(log(x^2 + x + 1)^2, x)","F",0
100,0,0,0,0.729603," ","integrate(log(x^2+x-1)^2/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(x^{2} + x - 1\right)^{2}}{x^{3}}, x\right)"," ",0,"integral(log(x^2 + x - 1)^2/x^3, x)","F",0
101,1,134,0,0.821659," ","integrate(x^3*log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""fricas"")","-\frac{1}{32} \, x^{4} + \frac{1}{192} \, x^{3} - \frac{1}{1024} \, x^{2} + \frac{1}{4} \, {\left(x^{4} - 1\right)} \log\left(4 \, x + 4 \, \sqrt{x^{2} - x} - 1\right) - \frac{1}{12288} \, {\left(384 \, x^{3} + 640 \, x^{2} + 764 \, x + 1155\right)} \sqrt{x^{2} - x} + \frac{1}{4096} \, x + \frac{4095}{32768} \, \log\left(8 \, x + 1\right) - \frac{2559}{32768} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} - x} + 1\right) + \frac{4095}{32768} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} - x} - 1\right) - \frac{4095}{32768} \, \log\left(-4 \, x + 4 \, \sqrt{x^{2} - x} + 1\right)"," ",0,"-1/32*x^4 + 1/192*x^3 - 1/1024*x^2 + 1/4*(x^4 - 1)*log(4*x + 4*sqrt(x^2 - x) - 1) - 1/12288*(384*x^3 + 640*x^2 + 764*x + 1155)*sqrt(x^2 - x) + 1/4096*x + 4095/32768*log(8*x + 1) - 2559/32768*log(-2*x + 2*sqrt(x^2 - x) + 1) + 4095/32768*log(-2*x + 2*sqrt(x^2 - x) - 1) - 4095/32768*log(-4*x + 4*sqrt(x^2 - x) + 1)","A",0
102,1,124,0,0.666446," ","integrate(x^2*log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""fricas"")","-\frac{1}{18} \, x^{3} + \frac{1}{96} \, x^{2} + \frac{1}{3} \, {\left(x^{3} + 1\right)} \log\left(4 \, x + 4 \, \sqrt{x^{2} - x} - 1\right) - \frac{1}{1152} \, {\left(64 \, x^{2} + 116 \, x + 165\right)} \sqrt{x^{2} - x} - \frac{1}{384} \, x - \frac{511}{3072} \, \log\left(8 \, x + 1\right) + \frac{245}{1024} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} - x} + 1\right) - \frac{511}{3072} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} - x} - 1\right) + \frac{511}{3072} \, \log\left(-4 \, x + 4 \, \sqrt{x^{2} - x} + 1\right)"," ",0,"-1/18*x^3 + 1/96*x^2 + 1/3*(x^3 + 1)*log(4*x + 4*sqrt(x^2 - x) - 1) - 1/1152*(64*x^2 + 116*x + 165)*sqrt(x^2 - x) - 1/384*x - 511/3072*log(8*x + 1) + 245/1024*log(-2*x + 2*sqrt(x^2 - x) + 1) - 511/3072*log(-2*x + 2*sqrt(x^2 - x) - 1) + 511/3072*log(-4*x + 4*sqrt(x^2 - x) + 1)","A",0
103,1,114,0,0.766352," ","integrate(x*log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""fricas"")","-\frac{1}{8} \, x^{2} + \frac{1}{2} \, {\left(x^{2} - 1\right)} \log\left(4 \, x + 4 \, \sqrt{x^{2} - x} - 1\right) - \frac{1}{32} \, \sqrt{x^{2} - x} {\left(4 \, x + 9\right)} + \frac{1}{32} \, x + \frac{63}{256} \, \log\left(8 \, x + 1\right) - \frac{31}{256} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} - x} + 1\right) + \frac{63}{256} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} - x} - 1\right) - \frac{63}{256} \, \log\left(-4 \, x + 4 \, \sqrt{x^{2} - x} + 1\right)"," ",0,"-1/8*x^2 + 1/2*(x^2 - 1)*log(4*x + 4*sqrt(x^2 - x) - 1) - 1/32*sqrt(x^2 - x)*(4*x + 9) + 1/32*x + 63/256*log(8*x + 1) - 31/256*log(-2*x + 2*sqrt(x^2 - x) + 1) + 63/256*log(-2*x + 2*sqrt(x^2 - x) - 1) - 63/256*log(-4*x + 4*sqrt(x^2 - x) + 1)","A",0
104,1,101,0,0.738515," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""fricas"")","{\left(x + 1\right)} \log\left(4 \, x + 4 \, \sqrt{x^{2} - x} - 1\right) - \frac{1}{2} \, x - \frac{1}{2} \, \sqrt{x^{2} - x} - \frac{7}{16} \, \log\left(8 \, x + 1\right) + \frac{15}{16} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} - x} + 1\right) - \frac{7}{16} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} - x} - 1\right) + \frac{7}{16} \, \log\left(-4 \, x + 4 \, \sqrt{x^{2} - x} + 1\right)"," ",0,"(x + 1)*log(4*x + 4*sqrt(x^2 - x) - 1) - 1/2*x - 1/2*sqrt(x^2 - x) - 7/16*log(8*x + 1) + 15/16*log(-2*x + 2*sqrt(x^2 - x) + 1) - 7/16*log(-2*x + 2*sqrt(x^2 - x) - 1) + 7/16*log(-4*x + 4*sqrt(x^2 - x) + 1)","A",0
105,0,0,0,0.709080," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(4 \, x + 4 \, \sqrt{x^{2} - x} - 1\right)}{x}, x\right)"," ",0,"integral(log(4*x + 4*sqrt(x^2 - x) - 1)/x, x)","F",0
106,1,115,0,0.672061," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x^2,x, algorithm=""fricas"")","-\frac{7 \, x \log\left(8 \, x + 1\right) + 2 \, {\left(x + 1\right)} \log\left(4 \, x + 4 \, \sqrt{x^{2} - x} - 1\right) - 8 \, x \log\left(x\right) + x \log\left(-2 \, x + 2 \, \sqrt{x^{2} - x} + 1\right) + 7 \, x \log\left(-2 \, x + 2 \, \sqrt{x^{2} - x} - 1\right) - 7 \, x \log\left(-4 \, x + 4 \, \sqrt{x^{2} - x} + 1\right) - 8 \, x - 8 \, \sqrt{x^{2} - x}}{2 \, x}"," ",0,"-1/2*(7*x*log(8*x + 1) + 2*(x + 1)*log(4*x + 4*sqrt(x^2 - x) - 1) - 8*x*log(x) + x*log(-2*x + 2*sqrt(x^2 - x) + 1) + 7*x*log(-2*x + 2*sqrt(x^2 - x) - 1) - 7*x*log(-4*x + 4*sqrt(x^2 - x) + 1) - 8*x - 8*sqrt(x^2 - x))/x","A",0
107,1,138,0,0.932976," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x^3,x, algorithm=""fricas"")","\frac{189 \, x^{2} \log\left(8 \, x + 1\right) - 192 \, x^{2} \log\left(x\right) + 3 \, x^{2} \log\left(-2 \, x + 2 \, \sqrt{x^{2} - x} + 1\right) + 189 \, x^{2} \log\left(-2 \, x + 2 \, \sqrt{x^{2} - x} - 1\right) - 189 \, x^{2} \log\left(-4 \, x + 4 \, \sqrt{x^{2} - x} + 1\right) - 128 \, x^{2} + 6 \, {\left(x^{2} - 1\right)} \log\left(4 \, x + 4 \, \sqrt{x^{2} - x} - 1\right) - 8 \, \sqrt{x^{2} - x} {\left(16 \, x - 1\right)} - 24 \, x}{12 \, x^{2}}"," ",0,"1/12*(189*x^2*log(8*x + 1) - 192*x^2*log(x) + 3*x^2*log(-2*x + 2*sqrt(x^2 - x) + 1) + 189*x^2*log(-2*x + 2*sqrt(x^2 - x) - 1) - 189*x^2*log(-4*x + 4*sqrt(x^2 - x) + 1) - 128*x^2 + 6*(x^2 - 1)*log(4*x + 4*sqrt(x^2 - x) - 1) - 8*sqrt(x^2 - x)*(16*x - 1) - 24*x)/x^2","A",0
108,1,110,0,0.660645," ","integrate(x^(3/2)*log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""fricas"")","\frac{3840 \, x^{\frac{7}{2}} \log\left(4 \, x + 4 \, \sqrt{x^{2} - x} - 1\right) + 15 \, \sqrt{2} x \arctan\left(2 \, \sqrt{2} \sqrt{x}\right) + 15 \, \sqrt{2} x \arctan\left(\frac{3 \, \sqrt{2} \sqrt{x}}{4 \, \sqrt{x^{2} - x}}\right) - 4 \, {\left(192 \, x^{2} + 376 \, x + 707\right)} \sqrt{x^{2} - x} \sqrt{x} - 4 \, {\left(192 \, x^{3} - 40 \, x^{2} + 15 \, x\right)} \sqrt{x}}{9600 \, x}"," ",0,"1/9600*(3840*x^(7/2)*log(4*x + 4*sqrt(x^2 - x) - 1) + 15*sqrt(2)*x*arctan(2*sqrt(2)*sqrt(x)) + 15*sqrt(2)*x*arctan(3/4*sqrt(2)*sqrt(x)/sqrt(x^2 - x)) - 4*(192*x^2 + 376*x + 707)*sqrt(x^2 - x)*sqrt(x) - 4*(192*x^3 - 40*x^2 + 15*x)*sqrt(x))/x","A",0
109,1,100,0,0.698097," ","integrate(x^(1/2)*log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""fricas"")","\frac{96 \, x^{\frac{5}{2}} \log\left(4 \, x + 4 \, \sqrt{x^{2} - x} - 1\right) - 3 \, \sqrt{2} x \arctan\left(2 \, \sqrt{2} \sqrt{x}\right) - 3 \, \sqrt{2} x \arctan\left(\frac{3 \, \sqrt{2} \sqrt{x}}{4 \, \sqrt{x^{2} - x}}\right) - 4 \, \sqrt{x^{2} - x} {\left(8 \, x + 25\right)} \sqrt{x} - 4 \, {\left(8 \, x^{2} - 3 \, x\right)} \sqrt{x}}{144 \, x}"," ",0,"1/144*(96*x^(5/2)*log(4*x + 4*sqrt(x^2 - x) - 1) - 3*sqrt(2)*x*arctan(2*sqrt(2)*sqrt(x)) - 3*sqrt(2)*x*arctan(3/4*sqrt(2)*sqrt(x)/sqrt(x^2 - x)) - 4*sqrt(x^2 - x)*(8*x + 25)*sqrt(x) - 4*(8*x^2 - 3*x)*sqrt(x))/x","A",0
110,1,84,0,0.833533," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} x \arctan\left(2 \, \sqrt{2} \sqrt{x}\right) + \sqrt{2} x \arctan\left(\frac{3 \, \sqrt{2} \sqrt{x}}{4 \, \sqrt{x^{2} - x}}\right) + 4 \, x^{\frac{3}{2}} \log\left(4 \, x + 4 \, \sqrt{x^{2} - x} - 1\right) - 4 \, x^{\frac{3}{2}} - 4 \, \sqrt{x^{2} - x} \sqrt{x}}{2 \, x}"," ",0,"1/2*(sqrt(2)*x*arctan(2*sqrt(2)*sqrt(x)) + sqrt(2)*x*arctan(3/4*sqrt(2)*sqrt(x)/sqrt(x^2 - x)) + 4*x^(3/2)*log(4*x + 4*sqrt(x^2 - x) - 1) - 4*x^(3/2) - 4*sqrt(x^2 - x)*sqrt(x))/x","A",0
111,1,84,0,0.697319," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, \sqrt{2} x \arctan\left(2 \, \sqrt{2} \sqrt{x}\right) + 2 \, \sqrt{2} x \arctan\left(\frac{3 \, \sqrt{2} \sqrt{x}}{4 \, \sqrt{x^{2} - x}}\right) - 4 \, x \arctan\left(\frac{\sqrt{x}}{\sqrt{x^{2} - x}}\right) - \sqrt{x} \log\left(4 \, x + 4 \, \sqrt{x^{2} - x} - 1\right)\right)}}{x}"," ",0,"2*(2*sqrt(2)*x*arctan(2*sqrt(2)*sqrt(x)) + 2*sqrt(2)*x*arctan(3/4*sqrt(2)*sqrt(x)/sqrt(x^2 - x)) - 4*x*arctan(sqrt(x)/sqrt(x^2 - x)) - sqrt(x)*log(4*x + 4*sqrt(x^2 - x) - 1))/x","A",0
112,1,108,0,0.562018," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(16 \, \sqrt{2} x^{2} \arctan\left(2 \, \sqrt{2} \sqrt{x}\right) + 16 \, \sqrt{2} x^{2} \arctan\left(\frac{3 \, \sqrt{2} \sqrt{x}}{4 \, \sqrt{x^{2} - x}}\right) - 22 \, x^{2} \arctan\left(\frac{\sqrt{x}}{\sqrt{x^{2} - x}}\right) + 8 \, x^{\frac{3}{2}} + \sqrt{x} \log\left(4 \, x + 4 \, \sqrt{x^{2} - x} - 1\right) - 2 \, \sqrt{x^{2} - x} \sqrt{x}\right)}}{3 \, x^{2}}"," ",0,"-2/3*(16*sqrt(2)*x^2*arctan(2*sqrt(2)*sqrt(x)) + 16*sqrt(2)*x^2*arctan(3/4*sqrt(2)*sqrt(x)/sqrt(x^2 - x)) - 22*x^2*arctan(sqrt(x)/sqrt(x^2 - x)) + 8*x^(3/2) + sqrt(x)*log(4*x + 4*sqrt(x^2 - x) - 1) - 2*sqrt(x^2 - x)*sqrt(x))/x^2","A",0
113,1,88,0,0.583306," ","integrate(x^3*log(a+b*exp(x)),x, algorithm=""fricas"")","\frac{1}{4} \, x^{4} \log\left(b e^{x} + a\right) - \frac{1}{4} \, x^{4} \log\left(\frac{b e^{x} + a}{a}\right) - x^{3} {\rm Li}_2\left(-\frac{b e^{x} + a}{a} + 1\right) + 3 \, x^{2} {\rm polylog}\left(3, -\frac{b e^{x}}{a}\right) - 6 \, x {\rm polylog}\left(4, -\frac{b e^{x}}{a}\right) + 6 \, {\rm polylog}\left(5, -\frac{b e^{x}}{a}\right)"," ",0,"1/4*x^4*log(b*e^x + a) - 1/4*x^4*log((b*e^x + a)/a) - x^3*dilog(-(b*e^x + a)/a + 1) + 3*x^2*polylog(3, -b*e^x/a) - 6*x*polylog(4, -b*e^x/a) + 6*polylog(5, -b*e^x/a)","C",0
114,1,73,0,0.682237," ","integrate(x^2*log(a+b*exp(x)),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} \log\left(b e^{x} + a\right) - \frac{1}{3} \, x^{3} \log\left(\frac{b e^{x} + a}{a}\right) - x^{2} {\rm Li}_2\left(-\frac{b e^{x} + a}{a} + 1\right) + 2 \, x {\rm polylog}\left(3, -\frac{b e^{x}}{a}\right) - 2 \, {\rm polylog}\left(4, -\frac{b e^{x}}{a}\right)"," ",0,"1/3*x^3*log(b*e^x + a) - 1/3*x^3*log((b*e^x + a)/a) - x^2*dilog(-(b*e^x + a)/a + 1) + 2*x*polylog(3, -b*e^x/a) - 2*polylog(4, -b*e^x/a)","C",0
115,1,56,0,0.633522," ","integrate(x*log(a+b*exp(x)),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} \log\left(b e^{x} + a\right) - \frac{1}{2} \, x^{2} \log\left(\frac{b e^{x} + a}{a}\right) - x {\rm Li}_2\left(-\frac{b e^{x} + a}{a} + 1\right) + {\rm polylog}\left(3, -\frac{b e^{x}}{a}\right)"," ",0,"1/2*x^2*log(b*e^x + a) - 1/2*x^2*log((b*e^x + a)/a) - x*dilog(-(b*e^x + a)/a + 1) + polylog(3, -b*e^x/a)","C",0
116,1,40,0,0.547093," ","integrate(log(a+b*exp(x)),x, algorithm=""fricas"")","x \log\left(b e^{x} + a\right) - x \log\left(\frac{b e^{x} + a}{a}\right) - {\rm Li}_2\left(-\frac{b e^{x} + a}{a} + 1\right)"," ",0,"x*log(b*e^x + a) - x*log((b*e^x + a)/a) - dilog(-(b*e^x + a)/a + 1)","A",0
117,0,0,0,0.692946," ","integrate(log(a+b*exp(x))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(b e^{x} + a\right)}{x}, x\right)"," ",0,"integral(log(b*e^x + a)/x, x)","F",0
118,1,128,0,0.542234," ","integrate(x^3*log(1+e*(f^(c*(b*x+a)))^n),x, algorithm=""fricas"")","-\frac{b^{3} c^{3} n^{3} x^{3} {\rm Li}_2\left(-e f^{b c n x + a c n}\right) \log\left(f\right)^{3} - 3 \, b^{2} c^{2} n^{2} x^{2} \log\left(f\right)^{2} {\rm polylog}\left(3, -e f^{b c n x + a c n}\right) + 6 \, b c n x \log\left(f\right) {\rm polylog}\left(4, -e f^{b c n x + a c n}\right) - 6 \, {\rm polylog}\left(5, -e f^{b c n x + a c n}\right)}{b^{4} c^{4} n^{4} \log\left(f\right)^{4}}"," ",0,"-(b^3*c^3*n^3*x^3*dilog(-e*f^(b*c*n*x + a*c*n))*log(f)^3 - 3*b^2*c^2*n^2*x^2*log(f)^2*polylog(3, -e*f^(b*c*n*x + a*c*n)) + 6*b*c*n*x*log(f)*polylog(4, -e*f^(b*c*n*x + a*c*n)) - 6*polylog(5, -e*f^(b*c*n*x + a*c*n)))/(b^4*c^4*n^4*log(f)^4)","C",0
119,1,93,0,0.747506," ","integrate(x^2*log(1+e*(f^(c*(b*x+a)))^n),x, algorithm=""fricas"")","-\frac{b^{2} c^{2} n^{2} x^{2} {\rm Li}_2\left(-e f^{b c n x + a c n}\right) \log\left(f\right)^{2} - 2 \, b c n x \log\left(f\right) {\rm polylog}\left(3, -e f^{b c n x + a c n}\right) + 2 \, {\rm polylog}\left(4, -e f^{b c n x + a c n}\right)}{b^{3} c^{3} n^{3} \log\left(f\right)^{3}}"," ",0,"-(b^2*c^2*n^2*x^2*dilog(-e*f^(b*c*n*x + a*c*n))*log(f)^2 - 2*b*c*n*x*log(f)*polylog(3, -e*f^(b*c*n*x + a*c*n)) + 2*polylog(4, -e*f^(b*c*n*x + a*c*n)))/(b^3*c^3*n^3*log(f)^3)","C",0
120,1,58,0,0.919145," ","integrate(x*log(1+e*(f^(c*(b*x+a)))^n),x, algorithm=""fricas"")","-\frac{b c n x {\rm Li}_2\left(-e f^{b c n x + a c n}\right) \log\left(f\right) - {\rm polylog}\left(3, -e f^{b c n x + a c n}\right)}{b^{2} c^{2} n^{2} \log\left(f\right)^{2}}"," ",0,"-(b*c*n*x*dilog(-e*f^(b*c*n*x + a*c*n))*log(f) - polylog(3, -e*f^(b*c*n*x + a*c*n)))/(b^2*c^2*n^2*log(f)^2)","C",0
121,1,31,0,0.986000," ","integrate(log(1+e*(f^(c*(b*x+a)))^n),x, algorithm=""fricas"")","-\frac{{\rm Li}_2\left(-e f^{b c n x + a c n}\right)}{b c n \log\left(f\right)}"," ",0,"-dilog(-e*f^(b*c*n*x + a*c*n))/(b*c*n*log(f))","A",0
122,0,0,0,0.944590," ","integrate(log(1+e*(f^(c*(b*x+a)))^n)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(e {\left(f^{b c x + a c}\right)}^{n} + 1\right)}{x}, x\right)"," ",0,"integral(log(e*(f^(b*c*x + a*c))^n + 1)/x, x)","F",0
123,1,245,0,0.967271," ","integrate(x^3*log(d+e*(f^(c*(b*x+a)))^n),x, algorithm=""fricas"")","-\frac{4 \, b^{3} c^{3} n^{3} x^{3} {\rm Li}_2\left(-\frac{e f^{b c n x + a c n} + d}{d} + 1\right) \log\left(f\right)^{3} - 12 \, b^{2} c^{2} n^{2} x^{2} \log\left(f\right)^{2} {\rm polylog}\left(3, -\frac{e f^{b c n x + a c n}}{d}\right) - {\left(b^{4} c^{4} n^{4} x^{4} - a^{4} c^{4} n^{4}\right)} \log\left(e f^{b c n x + a c n} + d\right) \log\left(f\right)^{4} + {\left(b^{4} c^{4} n^{4} x^{4} - a^{4} c^{4} n^{4}\right)} \log\left(f\right)^{4} \log\left(\frac{e f^{b c n x + a c n} + d}{d}\right) + 24 \, b c n x \log\left(f\right) {\rm polylog}\left(4, -\frac{e f^{b c n x + a c n}}{d}\right) - 24 \, {\rm polylog}\left(5, -\frac{e f^{b c n x + a c n}}{d}\right)}{4 \, b^{4} c^{4} n^{4} \log\left(f\right)^{4}}"," ",0,"-1/4*(4*b^3*c^3*n^3*x^3*dilog(-(e*f^(b*c*n*x + a*c*n) + d)/d + 1)*log(f)^3 - 12*b^2*c^2*n^2*x^2*log(f)^2*polylog(3, -e*f^(b*c*n*x + a*c*n)/d) - (b^4*c^4*n^4*x^4 - a^4*c^4*n^4)*log(e*f^(b*c*n*x + a*c*n) + d)*log(f)^4 + (b^4*c^4*n^4*x^4 - a^4*c^4*n^4)*log(f)^4*log((e*f^(b*c*n*x + a*c*n) + d)/d) + 24*b*c*n*x*log(f)*polylog(4, -e*f^(b*c*n*x + a*c*n)/d) - 24*polylog(5, -e*f^(b*c*n*x + a*c*n)/d))/(b^4*c^4*n^4*log(f)^4)","C",0
124,1,205,0,0.731245," ","integrate(x^2*log(d+e*(f^(c*(b*x+a)))^n),x, algorithm=""fricas"")","-\frac{3 \, b^{2} c^{2} n^{2} x^{2} {\rm Li}_2\left(-\frac{e f^{b c n x + a c n} + d}{d} + 1\right) \log\left(f\right)^{2} - 6 \, b c n x \log\left(f\right) {\rm polylog}\left(3, -\frac{e f^{b c n x + a c n}}{d}\right) - {\left(b^{3} c^{3} n^{3} x^{3} + a^{3} c^{3} n^{3}\right)} \log\left(e f^{b c n x + a c n} + d\right) \log\left(f\right)^{3} + {\left(b^{3} c^{3} n^{3} x^{3} + a^{3} c^{3} n^{3}\right)} \log\left(f\right)^{3} \log\left(\frac{e f^{b c n x + a c n} + d}{d}\right) + 6 \, {\rm polylog}\left(4, -\frac{e f^{b c n x + a c n}}{d}\right)}{3 \, b^{3} c^{3} n^{3} \log\left(f\right)^{3}}"," ",0,"-1/3*(3*b^2*c^2*n^2*x^2*dilog(-(e*f^(b*c*n*x + a*c*n) + d)/d + 1)*log(f)^2 - 6*b*c*n*x*log(f)*polylog(3, -e*f^(b*c*n*x + a*c*n)/d) - (b^3*c^3*n^3*x^3 + a^3*c^3*n^3)*log(e*f^(b*c*n*x + a*c*n) + d)*log(f)^3 + (b^3*c^3*n^3*x^3 + a^3*c^3*n^3)*log(f)^3*log((e*f^(b*c*n*x + a*c*n) + d)/d) + 6*polylog(4, -e*f^(b*c*n*x + a*c*n)/d))/(b^3*c^3*n^3*log(f)^3)","C",0
125,1,169,0,0.915459," ","integrate(x*log(d+e*(f^(c*(b*x+a)))^n),x, algorithm=""fricas"")","-\frac{2 \, b c n x {\rm Li}_2\left(-\frac{e f^{b c n x + a c n} + d}{d} + 1\right) \log\left(f\right) - {\left(b^{2} c^{2} n^{2} x^{2} - a^{2} c^{2} n^{2}\right)} \log\left(e f^{b c n x + a c n} + d\right) \log\left(f\right)^{2} + {\left(b^{2} c^{2} n^{2} x^{2} - a^{2} c^{2} n^{2}\right)} \log\left(f\right)^{2} \log\left(\frac{e f^{b c n x + a c n} + d}{d}\right) - 2 \, {\rm polylog}\left(3, -\frac{e f^{b c n x + a c n}}{d}\right)}{2 \, b^{2} c^{2} n^{2} \log\left(f\right)^{2}}"," ",0,"-1/2*(2*b*c*n*x*dilog(-(e*f^(b*c*n*x + a*c*n) + d)/d + 1)*log(f) - (b^2*c^2*n^2*x^2 - a^2*c^2*n^2)*log(e*f^(b*c*n*x + a*c*n) + d)*log(f)^2 + (b^2*c^2*n^2*x^2 - a^2*c^2*n^2)*log(f)^2*log((e*f^(b*c*n*x + a*c*n) + d)/d) - 2*polylog(3, -e*f^(b*c*n*x + a*c*n)/d))/(b^2*c^2*n^2*log(f)^2)","C",0
126,1,106,0,0.894665," ","integrate(log(d+e*(f^(c*(b*x+a)))^n),x, algorithm=""fricas"")","\frac{{\left(b c n x + a c n\right)} \log\left(e f^{b c n x + a c n} + d\right) \log\left(f\right) - {\left(b c n x + a c n\right)} \log\left(f\right) \log\left(\frac{e f^{b c n x + a c n} + d}{d}\right) - {\rm Li}_2\left(-\frac{e f^{b c n x + a c n} + d}{d} + 1\right)}{b c n \log\left(f\right)}"," ",0,"((b*c*n*x + a*c*n)*log(e*f^(b*c*n*x + a*c*n) + d)*log(f) - (b*c*n*x + a*c*n)*log(f)*log((e*f^(b*c*n*x + a*c*n) + d)/d) - dilog(-(e*f^(b*c*n*x + a*c*n) + d)/d + 1))/(b*c*n*log(f))","A",0
127,0,0,0,1.031990," ","integrate(log(d+e*(f^(c*(b*x+a)))^n)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(e {\left(f^{b c x + a c}\right)}^{n} + d\right)}{x}, x\right)"," ",0,"integral(log(e*(f^(b*c*x + a*c))^n + d)/x, x)","F",0
128,1,106,0,0.848942," ","integrate(log(b*(F^(e*(d*x+c)))^n+pi),x, algorithm=""fricas"")","\frac{{\left(d e n x + c e n\right)} \log\left(\pi + F^{d e n x + c e n} b\right) \log\left(F\right) - {\left(d e n x + c e n\right)} \log\left(F\right) \log\left(\frac{\pi + F^{d e n x + c e n} b}{\pi}\right) - {\rm Li}_2\left(-\frac{\pi + F^{d e n x + c e n} b}{\pi} + 1\right)}{d e n \log\left(F\right)}"," ",0,"((d*e*n*x + c*e*n)*log(pi + F^(d*e*n*x + c*e*n)*b)*log(F) - (d*e*n*x + c*e*n)*log(F)*log((pi + F^(d*e*n*x + c*e*n)*b)/pi) - dilog(-(pi + F^(d*e*n*x + c*e*n)*b)/pi + 1))/(d*e*n*log(F))","B",0
129,1,5,0,0.599481," ","integrate(1/x/(3+log(x)),x, algorithm=""fricas"")","\log\left(\log\left(x\right) + 3\right)"," ",0,"log(log(x) + 3)","A",0
130,1,8,0,0.880173," ","integrate((1+log(x))^(1/2)/x,x, algorithm=""fricas"")","\frac{2}{3} \, {\left(\log\left(x\right) + 1\right)}^{\frac{3}{2}}"," ",0,"2/3*(log(x) + 1)^(3/2)","A",0
131,1,31,0,0.913897," ","integrate((1+log(x))^5/x,x, algorithm=""fricas"")","\frac{1}{6} \, \log\left(x\right)^{6} + \log\left(x\right)^{5} + \frac{5}{2} \, \log\left(x\right)^{4} + \frac{10}{3} \, \log\left(x\right)^{3} + \frac{5}{2} \, \log\left(x\right)^{2} + \log\left(x\right)"," ",0,"1/6*log(x)^6 + log(x)^5 + 5/2*log(x)^4 + 10/3*log(x)^3 + 5/2*log(x)^2 + log(x)","B",0
132,1,6,0,0.885380," ","integrate(1/x/log(x)^(1/2),x, algorithm=""fricas"")","2 \, \sqrt{\log\left(x\right)}"," ",0,"2*sqrt(log(x))","A",0
133,1,3,0,0.895498," ","integrate(1/x/(1+log(x)^2),x, algorithm=""fricas"")","\arctan\left(\log\left(x\right)\right)"," ",0,"arctan(log(x))","A",0
134,1,16,0,0.929947," ","integrate(1/x/(-3+log(x)^2)^(1/2),x, algorithm=""fricas"")","-\log\left(\sqrt{\log\left(x\right)^{2} - 3} - \log\left(x\right)\right)"," ",0,"-log(sqrt(log(x)^2 - 3) - log(x))","A",0
135,1,21,0,0.863087," ","integrate(1/x/(4-9*log(x)^2)^(1/2),x, algorithm=""fricas"")","-\frac{2}{3} \, \arctan\left(\frac{\sqrt{-9 \, \log\left(x\right)^{2} + 4} - 2}{3 \, \log\left(x\right)}\right)"," ",0,"-2/3*arctan(1/3*(sqrt(-9*log(x)^2 + 4) - 2)/log(x))","B",0
136,1,16,0,0.824418," ","integrate(1/x/(4+log(x)^2)^(1/2),x, algorithm=""fricas"")","-\log\left(\sqrt{\log\left(x\right)^{2} + 4} - \log\left(x\right)\right)"," ",0,"-log(sqrt(log(x)^2 + 4) - log(x))","B",0
137,1,71,0,0.907781," ","integrate(1/x/(2+3*log(6*x)^3),x, algorithm=""fricas"")","-\frac{1}{72} \cdot 12^{\frac{2}{3}} \log\left(6 \, \log\left(6 \, x\right)^{2} - 12^{\frac{2}{3}} \log\left(6 \, x\right) + 2 \cdot 12^{\frac{1}{3}}\right) + \frac{1}{36} \cdot 12^{\frac{2}{3}} \log\left(12^{\frac{2}{3}} + 6 \, \log\left(6 \, x\right)\right) + \frac{1}{6} \cdot 12^{\frac{1}{6}} \arctan\left(\frac{1}{6} \cdot 12^{\frac{1}{6}} {\left(12^{\frac{2}{3}} \log\left(6 \, x\right) - 12^{\frac{1}{3}}\right)}\right)"," ",0,"-1/72*12^(2/3)*log(6*log(6*x)^2 - 12^(2/3)*log(6*x) + 2*12^(1/3)) + 1/36*12^(2/3)*log(12^(2/3) + 6*log(6*x)) + 1/6*12^(1/6)*arctan(1/6*12^(1/6)*(12^(2/3)*log(6*x) - 12^(1/3)))","A",0
138,1,9,0,0.663541," ","integrate(log(log(6*x))/x/log(6*x),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(\log\left(6 \, x\right)\right)^{2}"," ",0,"1/2*log(log(6*x))^2","A",0
139,1,11,0,0.787859," ","integrate(2^log(x)/x,x, algorithm=""fricas"")","\frac{e^{\left(\log\left(2\right) \log\left(x\right)\right)}}{\log\left(2\right)}"," ",0,"e^(log(2)*log(x))/log(2)","A",0
140,1,13,0,0.965163," ","integrate(sin(log(x))^2/x,x, algorithm=""fricas"")","-\frac{1}{2} \, \cos\left(\log\left(x\right)\right) \sin\left(\log\left(x\right)\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"-1/2*cos(log(x))*sin(log(x)) + 1/2*log(x)","A",0
141,1,12,0,0.990414," ","integrate((7-log(x))/x/(3+log(x)),x, algorithm=""fricas"")","-\log\left(x\right) + 10 \, \log\left(\log\left(x\right) + 3\right)"," ",0,"-log(x) + 10*log(log(x) + 3)","A",0
142,1,23,0,0.964645," ","integrate((2-log(x))*(3+log(x))^2/x,x, algorithm=""fricas"")","-\frac{1}{4} \, \log\left(x\right)^{4} - \frac{4}{3} \, \log\left(x\right)^{3} + \frac{3}{2} \, \log\left(x\right)^{2} + 18 \, \log\left(x\right)"," ",0,"-1/4*log(x)^4 - 4/3*log(x)^3 + 3/2*log(x)^2 + 18*log(x)","A",0
143,1,36,0,0.881471," ","integrate(log(x)^2*(1+log(x)^2)^(1/2)/x,x, algorithm=""fricas"")","\frac{1}{8} \, {\left(2 \, \log\left(x\right)^{3} + \log\left(x\right)\right)} \sqrt{\log\left(x\right)^{2} + 1} + \frac{1}{8} \, \log\left(\sqrt{\log\left(x\right)^{2} + 1} - \log\left(x\right)\right)"," ",0,"1/8*(2*log(x)^3 + log(x))*sqrt(log(x)^2 + 1) + 1/8*log(sqrt(log(x)^2 + 1) - log(x))","A",0
144,1,26,0,0.873438," ","integrate((1+log(x))/x/(3+2*log(x))^2,x, algorithm=""fricas"")","\frac{{\left(2 \, \log\left(x\right) + 3\right)} \log\left(2 \, \log\left(x\right) + 3\right) + 1}{4 \, {\left(2 \, \log\left(x\right) + 3\right)}}"," ",0,"1/4*((2*log(x) + 3)*log(2*log(x) + 3) + 1)/(2*log(x) + 3)","A",0
145,1,12,0,0.781666," ","integrate(log(x)/x/(1+log(x))^(1/2),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{\log\left(x\right) + 1} {\left(\log\left(x\right) - 2\right)}"," ",0,"2/3*sqrt(log(x) + 1)*(log(x) - 2)","A",0
146,1,16,0,0.822265," ","integrate(log(x)/x/(-1+4*log(x))^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{4 \, \log\left(x\right) - 1} {\left(2 \, \log\left(x\right) + 1\right)}"," ",0,"1/12*sqrt(4*log(x) - 1)*(2*log(x) + 1)","A",0
147,1,29,0,0.755564," ","integrate((1+log(x))^(1/2)/x/log(x),x, algorithm=""fricas"")","2 \, \sqrt{\log\left(x\right) + 1} - \log\left(\sqrt{\log\left(x\right) + 1} + 1\right) + \log\left(\sqrt{\log\left(x\right) + 1} - 1\right)"," ",0,"2*sqrt(log(x) + 1) - log(sqrt(log(x) + 1) + 1) + log(sqrt(log(x) + 1) - 1)","A",0
148,1,32,0,0.982351," ","integrate((1-4*log(x)+log(x)^2)/x/(-1+log(x))^4,x, algorithm=""fricas"")","-\frac{3 \, \log\left(x\right)^{2} - 9 \, \log\left(x\right) + 4}{3 \, {\left(\log\left(x\right)^{3} - 3 \, \log\left(x\right)^{2} + 3 \, \log\left(x\right) - 1\right)}}"," ",0,"-1/3*(3*log(x)^2 - 9*log(x) + 4)/(log(x)^3 - 3*log(x)^2 + 3*log(x) - 1)","A",0
149,1,38,0,1.155632," ","integrate((log(a*x^n)^2)^p/x,x, algorithm=""fricas"")","\frac{{\left(n \log\left(x\right) + \log\left(a\right)\right)} {\left(n^{2} \log\left(x\right)^{2} + 2 \, n \log\left(a\right) \log\left(x\right) + \log\left(a\right)^{2}\right)}^{p}}{2 \, n p + n}"," ",0,"(n*log(x) + log(a))*(n^2*log(x)^2 + 2*n*log(a)*log(x) + log(a)^2)^p/(2*n*p + n)","A",0
150,1,27,0,0.920226," ","integrate((log(a*x^n)^m)^p/x,x, algorithm=""fricas"")","\frac{{\left(n \log\left(x\right) + \log\left(a\right)\right)} {\left(n \log\left(x\right) + \log\left(a\right)\right)}^{m p}}{m n p + n}"," ",0,"(n*log(x) + log(a))*(n*log(x) + log(a))^(m*p)/(m*n*p + n)","A",0
151,1,13,0,0.821769," ","integrate((log(a*x^n)^2)^(1/2)/x,x, algorithm=""fricas"")","\frac{1}{2} \, n \log\left(x\right)^{2} + \log\left(a\right) \log\left(x\right)"," ",0,"1/2*n*log(x)^2 + log(a)*log(x)","A",0
152,1,33,0,0.935223," ","integrate((b*log(a*x^n)^m)^p/x,x, algorithm=""fricas"")","\frac{{\left(n \log\left(x\right) + \log\left(a\right)\right)} e^{\left(m p \log\left(n \log\left(x\right) + \log\left(a\right)\right) + p \log\left(b\right)\right)}}{m n p + n}"," ",0,"(n*log(x) + log(a))*e^(m*p*log(n*log(x) + log(a)) + p*log(b))/(m*n*p + n)","A",0
153,1,5,0,0.910161," ","integrate(1/x/log(exp(x)),x, algorithm=""fricas"")","-\frac{1}{x}"," ",0,"-1/x","A",0
154,1,37,0,0.852877," ","integrate(log(x)*sin(b*x+a),x, algorithm=""fricas"")","\frac{{\left(\operatorname{Ci}\left(b x\right) + \operatorname{Ci}\left(-b x\right)\right)} \cos\left(a\right) - 2 \, \cos\left(b x + a\right) \log\left(x\right) - 2 \, \sin\left(a\right) \operatorname{Si}\left(b x\right)}{2 \, b}"," ",0,"1/2*((cos_integral(b*x) + cos_integral(-b*x))*cos(a) - 2*cos(b*x + a)*log(x) - 2*sin(a)*sin_integral(b*x))/b","A",0
155,1,59,0,0.931605," ","integrate(log(x)*sin(b*x+a)^2,x, algorithm=""fricas"")","\frac{4 \, b x \log\left(x\right) - 4 \, \cos\left(b x + a\right) \log\left(x\right) \sin\left(b x + a\right) - 4 \, b x + {\left(\operatorname{Ci}\left(2 \, b x\right) + \operatorname{Ci}\left(-2 \, b x\right)\right)} \sin\left(2 \, a\right) + 2 \, \cos\left(2 \, a\right) \operatorname{Si}\left(2 \, b x\right)}{8 \, b}"," ",0,"1/8*(4*b*x*log(x) - 4*cos(b*x + a)*log(x)*sin(b*x + a) - 4*b*x + (cos_integral(2*b*x) + cos_integral(-2*b*x))*sin(2*a) + 2*cos(2*a)*sin_integral(2*b*x))/b","A",0
156,1,76,0,0.964195," ","integrate(log(x)*sin(b*x+a)^3,x, algorithm=""fricas"")","-\frac{{\left(\operatorname{Ci}\left(3 \, b x\right) + \operatorname{Ci}\left(-3 \, b x\right)\right)} \cos\left(3 \, a\right) - 9 \, {\left(\operatorname{Ci}\left(b x\right) + \operatorname{Ci}\left(-b x\right)\right)} \cos\left(a\right) - 8 \, {\left(\cos\left(b x + a\right)^{3} - 3 \, \cos\left(b x + a\right)\right)} \log\left(x\right) - 2 \, \sin\left(3 \, a\right) \operatorname{Si}\left(3 \, b x\right) + 18 \, \sin\left(a\right) \operatorname{Si}\left(b x\right)}{24 \, b}"," ",0,"-1/24*((cos_integral(3*b*x) + cos_integral(-3*b*x))*cos(3*a) - 9*(cos_integral(b*x) + cos_integral(-b*x))*cos(a) - 8*(cos(b*x + a)^3 - 3*cos(b*x + a))*log(x) - 2*sin(3*a)*sin_integral(3*b*x) + 18*sin(a)*sin_integral(b*x))/b","A",0
157,1,38,0,0.923770," ","integrate(cos(b*x+a)*log(x),x, algorithm=""fricas"")","\frac{2 \, \log\left(x\right) \sin\left(b x + a\right) - {\left(\operatorname{Ci}\left(b x\right) + \operatorname{Ci}\left(-b x\right)\right)} \sin\left(a\right) - 2 \, \cos\left(a\right) \operatorname{Si}\left(b x\right)}{2 \, b}"," ",0,"1/2*(2*log(x)*sin(b*x + a) - (cos_integral(b*x) + cos_integral(-b*x))*sin(a) - 2*cos(a)*sin_integral(b*x))/b","A",0
158,1,60,0,0.906257," ","integrate(cos(b*x+a)^2*log(x),x, algorithm=""fricas"")","\frac{4 \, b x \log\left(x\right) + 4 \, \cos\left(b x + a\right) \log\left(x\right) \sin\left(b x + a\right) - 4 \, b x - {\left(\operatorname{Ci}\left(2 \, b x\right) + \operatorname{Ci}\left(-2 \, b x\right)\right)} \sin\left(2 \, a\right) - 2 \, \cos\left(2 \, a\right) \operatorname{Si}\left(2 \, b x\right)}{8 \, b}"," ",0,"1/8*(4*b*x*log(x) + 4*cos(b*x + a)*log(x)*sin(b*x + a) - 4*b*x - (cos_integral(2*b*x) + cos_integral(-2*b*x))*sin(2*a) - 2*cos(2*a)*sin_integral(2*b*x))/b","A",0
159,1,76,0,0.669306," ","integrate(cos(b*x+a)^3*log(x),x, algorithm=""fricas"")","\frac{8 \, {\left(\cos\left(b x + a\right)^{2} + 2\right)} \log\left(x\right) \sin\left(b x + a\right) - {\left(\operatorname{Ci}\left(3 \, b x\right) + \operatorname{Ci}\left(-3 \, b x\right)\right)} \sin\left(3 \, a\right) - 9 \, {\left(\operatorname{Ci}\left(b x\right) + \operatorname{Ci}\left(-b x\right)\right)} \sin\left(a\right) - 2 \, \cos\left(3 \, a\right) \operatorname{Si}\left(3 \, b x\right) - 18 \, \cos\left(a\right) \operatorname{Si}\left(b x\right)}{24 \, b}"," ",0,"1/24*(8*(cos(b*x + a)^2 + 2)*log(x)*sin(b*x + a) - (cos_integral(3*b*x) + cos_integral(-3*b*x))*sin(3*a) - 9*(cos_integral(b*x) + cos_integral(-b*x))*sin(a) - 2*cos(3*a)*sin_integral(3*b*x) - 18*cos(a)*sin_integral(b*x))/b","A",0
160,1,5,0,1.089442," ","integrate(cos(x)*log(x)+sin(x)/x,x, algorithm=""fricas"")","\log\left(x\right) \sin\left(x\right)"," ",0,"log(x)*sin(x)","A",0
161,1,104,0,0.895241," ","integrate(log(a*sin(x)),x, algorithm=""fricas"")","x \log\left(a \sin\left(x\right)\right) - \frac{1}{2} \, x \log\left(\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(-\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(-\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) + \frac{1}{2} i \, {\rm Li}_2\left(\cos\left(x\right) + i \, \sin\left(x\right)\right) - \frac{1}{2} i \, {\rm Li}_2\left(\cos\left(x\right) - i \, \sin\left(x\right)\right) - \frac{1}{2} i \, {\rm Li}_2\left(-\cos\left(x\right) + i \, \sin\left(x\right)\right) + \frac{1}{2} i \, {\rm Li}_2\left(-\cos\left(x\right) - i \, \sin\left(x\right)\right)"," ",0,"x*log(a*sin(x)) - 1/2*x*log(cos(x) + I*sin(x) + 1) - 1/2*x*log(cos(x) - I*sin(x) + 1) - 1/2*x*log(-cos(x) + I*sin(x) + 1) - 1/2*x*log(-cos(x) - I*sin(x) + 1) + 1/2*I*dilog(cos(x) + I*sin(x)) - 1/2*I*dilog(cos(x) - I*sin(x)) - 1/2*I*dilog(-cos(x) + I*sin(x)) + 1/2*I*dilog(-cos(x) - I*sin(x))","B",0
162,1,109,0,1.082357," ","integrate(log(a*sin(x)^2),x, algorithm=""fricas"")","x \log\left(-a \cos\left(x\right)^{2} + a\right) - x \log\left(\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - x \log\left(\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) - x \log\left(-\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - x \log\left(-\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) + i \, {\rm Li}_2\left(\cos\left(x\right) + i \, \sin\left(x\right)\right) - i \, {\rm Li}_2\left(\cos\left(x\right) - i \, \sin\left(x\right)\right) - i \, {\rm Li}_2\left(-\cos\left(x\right) + i \, \sin\left(x\right)\right) + i \, {\rm Li}_2\left(-\cos\left(x\right) - i \, \sin\left(x\right)\right)"," ",0,"x*log(-a*cos(x)^2 + a) - x*log(cos(x) + I*sin(x) + 1) - x*log(cos(x) - I*sin(x) + 1) - x*log(-cos(x) + I*sin(x) + 1) - x*log(-cos(x) - I*sin(x) + 1) + I*dilog(cos(x) + I*sin(x)) - I*dilog(cos(x) - I*sin(x)) - I*dilog(-cos(x) + I*sin(x)) + I*dilog(-cos(x) - I*sin(x))","B",0
163,1,115,0,0.930673," ","integrate(log(a*sin(x)^n),x, algorithm=""fricas"")","-\frac{1}{2} \, n x \log\left(\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{2} \, n x \log\left(\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) - \frac{1}{2} \, n x \log\left(-\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{2} \, n x \log\left(-\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) + n x \log\left(\sin\left(x\right)\right) + \frac{1}{2} i \, n {\rm Li}_2\left(\cos\left(x\right) + i \, \sin\left(x\right)\right) - \frac{1}{2} i \, n {\rm Li}_2\left(\cos\left(x\right) - i \, \sin\left(x\right)\right) - \frac{1}{2} i \, n {\rm Li}_2\left(-\cos\left(x\right) + i \, \sin\left(x\right)\right) + \frac{1}{2} i \, n {\rm Li}_2\left(-\cos\left(x\right) - i \, \sin\left(x\right)\right) + x \log\left(a\right)"," ",0,"-1/2*n*x*log(cos(x) + I*sin(x) + 1) - 1/2*n*x*log(cos(x) - I*sin(x) + 1) - 1/2*n*x*log(-cos(x) + I*sin(x) + 1) - 1/2*n*x*log(-cos(x) - I*sin(x) + 1) + n*x*log(sin(x)) + 1/2*I*n*dilog(cos(x) + I*sin(x)) - 1/2*I*n*dilog(cos(x) - I*sin(x)) - 1/2*I*n*dilog(-cos(x) + I*sin(x)) + 1/2*I*n*dilog(-cos(x) - I*sin(x)) + x*log(a)","B",0
164,1,104,0,0.797234," ","integrate(log(a*cos(x)),x, algorithm=""fricas"")","x \log\left(a \cos\left(x\right)\right) - \frac{1}{2} \, x \log\left(i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(-i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(-i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) - \frac{1}{2} i \, {\rm Li}_2\left(i \, \cos\left(x\right) + \sin\left(x\right)\right) + \frac{1}{2} i \, {\rm Li}_2\left(i \, \cos\left(x\right) - \sin\left(x\right)\right) + \frac{1}{2} i \, {\rm Li}_2\left(-i \, \cos\left(x\right) + \sin\left(x\right)\right) - \frac{1}{2} i \, {\rm Li}_2\left(-i \, \cos\left(x\right) - \sin\left(x\right)\right)"," ",0,"x*log(a*cos(x)) - 1/2*x*log(I*cos(x) + sin(x) + 1) - 1/2*x*log(I*cos(x) - sin(x) + 1) - 1/2*x*log(-I*cos(x) + sin(x) + 1) - 1/2*x*log(-I*cos(x) - sin(x) + 1) - 1/2*I*dilog(I*cos(x) + sin(x)) + 1/2*I*dilog(I*cos(x) - sin(x)) + 1/2*I*dilog(-I*cos(x) + sin(x)) - 1/2*I*dilog(-I*cos(x) - sin(x))","B",0
165,1,106,0,0.903294," ","integrate(log(a*cos(x)^2),x, algorithm=""fricas"")","x \log\left(a \cos\left(x\right)^{2}\right) - x \log\left(i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) - x \log\left(i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) - x \log\left(-i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) - x \log\left(-i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) - i \, {\rm Li}_2\left(i \, \cos\left(x\right) + \sin\left(x\right)\right) + i \, {\rm Li}_2\left(i \, \cos\left(x\right) - \sin\left(x\right)\right) + i \, {\rm Li}_2\left(-i \, \cos\left(x\right) + \sin\left(x\right)\right) - i \, {\rm Li}_2\left(-i \, \cos\left(x\right) - \sin\left(x\right)\right)"," ",0,"x*log(a*cos(x)^2) - x*log(I*cos(x) + sin(x) + 1) - x*log(I*cos(x) - sin(x) + 1) - x*log(-I*cos(x) + sin(x) + 1) - x*log(-I*cos(x) - sin(x) + 1) - I*dilog(I*cos(x) + sin(x)) + I*dilog(I*cos(x) - sin(x)) + I*dilog(-I*cos(x) + sin(x)) - I*dilog(-I*cos(x) - sin(x))","B",0
166,1,115,0,1.026701," ","integrate(log(a*cos(x)^n),x, algorithm=""fricas"")","-\frac{1}{2} \, n x \log\left(i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) - \frac{1}{2} \, n x \log\left(i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) - \frac{1}{2} \, n x \log\left(-i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) - \frac{1}{2} \, n x \log\left(-i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) + n x \log\left(\cos\left(x\right)\right) - \frac{1}{2} i \, n {\rm Li}_2\left(i \, \cos\left(x\right) + \sin\left(x\right)\right) + \frac{1}{2} i \, n {\rm Li}_2\left(i \, \cos\left(x\right) - \sin\left(x\right)\right) + \frac{1}{2} i \, n {\rm Li}_2\left(-i \, \cos\left(x\right) + \sin\left(x\right)\right) - \frac{1}{2} i \, n {\rm Li}_2\left(-i \, \cos\left(x\right) - \sin\left(x\right)\right) + x \log\left(a\right)"," ",0,"-1/2*n*x*log(I*cos(x) + sin(x) + 1) - 1/2*n*x*log(I*cos(x) - sin(x) + 1) - 1/2*n*x*log(-I*cos(x) + sin(x) + 1) - 1/2*n*x*log(-I*cos(x) - sin(x) + 1) + n*x*log(cos(x)) - 1/2*I*n*dilog(I*cos(x) + sin(x)) + 1/2*I*n*dilog(I*cos(x) - sin(x)) + 1/2*I*n*dilog(-I*cos(x) + sin(x)) - 1/2*I*n*dilog(-I*cos(x) - sin(x)) + x*log(a)","B",0
167,1,184,0,0.929591," ","integrate(log(a*tan(x)),x, algorithm=""fricas"")","x \log\left(a \tan\left(x\right)\right) - \frac{1}{2} \, x \log\left(\frac{2 \, {\left(\tan\left(x\right)^{2} + i \, \tan\left(x\right)\right)}}{\tan\left(x\right)^{2} + 1}\right) - \frac{1}{2} \, x \log\left(\frac{2 \, {\left(\tan\left(x\right)^{2} - i \, \tan\left(x\right)\right)}}{\tan\left(x\right)^{2} + 1}\right) + \frac{1}{2} \, x \log\left(-\frac{2 \, {\left(i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1}\right) + \frac{1}{2} \, x \log\left(-\frac{2 \, {\left(-i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1}\right) - \frac{1}{4} i \, {\rm Li}_2\left(-\frac{2 \, {\left(\tan\left(x\right)^{2} + i \, \tan\left(x\right)\right)}}{\tan\left(x\right)^{2} + 1} + 1\right) + \frac{1}{4} i \, {\rm Li}_2\left(-\frac{2 \, {\left(\tan\left(x\right)^{2} - i \, \tan\left(x\right)\right)}}{\tan\left(x\right)^{2} + 1} + 1\right) + \frac{1}{4} i \, {\rm Li}_2\left(\frac{2 \, {\left(i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1} + 1\right) - \frac{1}{4} i \, {\rm Li}_2\left(\frac{2 \, {\left(-i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1} + 1\right)"," ",0,"x*log(a*tan(x)) - 1/2*x*log(2*(tan(x)^2 + I*tan(x))/(tan(x)^2 + 1)) - 1/2*x*log(2*(tan(x)^2 - I*tan(x))/(tan(x)^2 + 1)) + 1/2*x*log(-2*(I*tan(x) - 1)/(tan(x)^2 + 1)) + 1/2*x*log(-2*(-I*tan(x) - 1)/(tan(x)^2 + 1)) - 1/4*I*dilog(-2*(tan(x)^2 + I*tan(x))/(tan(x)^2 + 1) + 1) + 1/4*I*dilog(-2*(tan(x)^2 - I*tan(x))/(tan(x)^2 + 1) + 1) + 1/4*I*dilog(2*(I*tan(x) - 1)/(tan(x)^2 + 1) + 1) - 1/4*I*dilog(2*(-I*tan(x) - 1)/(tan(x)^2 + 1) + 1)","B",0
168,1,184,0,0.865737," ","integrate(log(a*tan(x)^2),x, algorithm=""fricas"")","x \log\left(a \tan\left(x\right)^{2}\right) - x \log\left(\frac{2 \, {\left(\tan\left(x\right)^{2} + i \, \tan\left(x\right)\right)}}{\tan\left(x\right)^{2} + 1}\right) - x \log\left(\frac{2 \, {\left(\tan\left(x\right)^{2} - i \, \tan\left(x\right)\right)}}{\tan\left(x\right)^{2} + 1}\right) + x \log\left(-\frac{2 \, {\left(i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1}\right) + x \log\left(-\frac{2 \, {\left(-i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1}\right) - \frac{1}{2} i \, {\rm Li}_2\left(-\frac{2 \, {\left(\tan\left(x\right)^{2} + i \, \tan\left(x\right)\right)}}{\tan\left(x\right)^{2} + 1} + 1\right) + \frac{1}{2} i \, {\rm Li}_2\left(-\frac{2 \, {\left(\tan\left(x\right)^{2} - i \, \tan\left(x\right)\right)}}{\tan\left(x\right)^{2} + 1} + 1\right) + \frac{1}{2} i \, {\rm Li}_2\left(\frac{2 \, {\left(i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1} + 1\right) - \frac{1}{2} i \, {\rm Li}_2\left(\frac{2 \, {\left(-i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1} + 1\right)"," ",0,"x*log(a*tan(x)^2) - x*log(2*(tan(x)^2 + I*tan(x))/(tan(x)^2 + 1)) - x*log(2*(tan(x)^2 - I*tan(x))/(tan(x)^2 + 1)) + x*log(-2*(I*tan(x) - 1)/(tan(x)^2 + 1)) + x*log(-2*(-I*tan(x) - 1)/(tan(x)^2 + 1)) - 1/2*I*dilog(-2*(tan(x)^2 + I*tan(x))/(tan(x)^2 + 1) + 1) + 1/2*I*dilog(-2*(tan(x)^2 - I*tan(x))/(tan(x)^2 + 1) + 1) + 1/2*I*dilog(2*(I*tan(x) - 1)/(tan(x)^2 + 1) + 1) - 1/2*I*dilog(2*(-I*tan(x) - 1)/(tan(x)^2 + 1) + 1)","B",0
169,1,195,0,1.115422," ","integrate(log(a*tan(x)^n),x, algorithm=""fricas"")","-\frac{1}{2} \, n x \log\left(\frac{2 \, {\left(\tan\left(x\right)^{2} + i \, \tan\left(x\right)\right)}}{\tan\left(x\right)^{2} + 1}\right) - \frac{1}{2} \, n x \log\left(\frac{2 \, {\left(\tan\left(x\right)^{2} - i \, \tan\left(x\right)\right)}}{\tan\left(x\right)^{2} + 1}\right) + \frac{1}{2} \, n x \log\left(-\frac{2 \, {\left(i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1}\right) + \frac{1}{2} \, n x \log\left(-\frac{2 \, {\left(-i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1}\right) + n x \log\left(\tan\left(x\right)\right) - \frac{1}{4} i \, n {\rm Li}_2\left(-\frac{2 \, {\left(\tan\left(x\right)^{2} + i \, \tan\left(x\right)\right)}}{\tan\left(x\right)^{2} + 1} + 1\right) + \frac{1}{4} i \, n {\rm Li}_2\left(-\frac{2 \, {\left(\tan\left(x\right)^{2} - i \, \tan\left(x\right)\right)}}{\tan\left(x\right)^{2} + 1} + 1\right) + \frac{1}{4} i \, n {\rm Li}_2\left(\frac{2 \, {\left(i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1} + 1\right) - \frac{1}{4} i \, n {\rm Li}_2\left(\frac{2 \, {\left(-i \, \tan\left(x\right) - 1\right)}}{\tan\left(x\right)^{2} + 1} + 1\right) + x \log\left(a\right)"," ",0,"-1/2*n*x*log(2*(tan(x)^2 + I*tan(x))/(tan(x)^2 + 1)) - 1/2*n*x*log(2*(tan(x)^2 - I*tan(x))/(tan(x)^2 + 1)) + 1/2*n*x*log(-2*(I*tan(x) - 1)/(tan(x)^2 + 1)) + 1/2*n*x*log(-2*(-I*tan(x) - 1)/(tan(x)^2 + 1)) + n*x*log(tan(x)) - 1/4*I*n*dilog(-2*(tan(x)^2 + I*tan(x))/(tan(x)^2 + 1) + 1) + 1/4*I*n*dilog(-2*(tan(x)^2 - I*tan(x))/(tan(x)^2 + 1) + 1) + 1/4*I*n*dilog(2*(I*tan(x) - 1)/(tan(x)^2 + 1) + 1) - 1/4*I*n*dilog(2*(-I*tan(x) - 1)/(tan(x)^2 + 1) + 1) + x*log(a)","B",0
170,1,147,0,0.944434," ","integrate(log(a*cot(x)),x, algorithm=""fricas"")","x \log\left(\frac{a \cos\left(2 \, x\right) + a}{\sin\left(2 \, x\right)}\right) - \frac{1}{2} \, x \log\left(\cos\left(2 \, x\right) + i \, \sin\left(2 \, x\right) + 1\right) - \frac{1}{2} \, x \log\left(\cos\left(2 \, x\right) - i \, \sin\left(2 \, x\right) + 1\right) + \frac{1}{2} \, x \log\left(-\cos\left(2 \, x\right) + i \, \sin\left(2 \, x\right) + 1\right) + \frac{1}{2} \, x \log\left(-\cos\left(2 \, x\right) - i \, \sin\left(2 \, x\right) + 1\right) - \frac{1}{4} i \, {\rm Li}_2\left(\cos\left(2 \, x\right) + i \, \sin\left(2 \, x\right)\right) + \frac{1}{4} i \, {\rm Li}_2\left(\cos\left(2 \, x\right) - i \, \sin\left(2 \, x\right)\right) - \frac{1}{4} i \, {\rm Li}_2\left(-\cos\left(2 \, x\right) + i \, \sin\left(2 \, x\right)\right) + \frac{1}{4} i \, {\rm Li}_2\left(-\cos\left(2 \, x\right) - i \, \sin\left(2 \, x\right)\right)"," ",0,"x*log((a*cos(2*x) + a)/sin(2*x)) - 1/2*x*log(cos(2*x) + I*sin(2*x) + 1) - 1/2*x*log(cos(2*x) - I*sin(2*x) + 1) + 1/2*x*log(-cos(2*x) + I*sin(2*x) + 1) + 1/2*x*log(-cos(2*x) - I*sin(2*x) + 1) - 1/4*I*dilog(cos(2*x) + I*sin(2*x)) + 1/4*I*dilog(cos(2*x) - I*sin(2*x)) - 1/4*I*dilog(-cos(2*x) + I*sin(2*x)) + 1/4*I*dilog(-cos(2*x) - I*sin(2*x))","B",0
171,1,148,0,1.030581," ","integrate(log(a*cot(x)^2),x, algorithm=""fricas"")","x \log\left(-\frac{a \cos\left(2 \, x\right) + a}{\cos\left(2 \, x\right) - 1}\right) - x \log\left(\cos\left(2 \, x\right) + i \, \sin\left(2 \, x\right) + 1\right) - x \log\left(\cos\left(2 \, x\right) - i \, \sin\left(2 \, x\right) + 1\right) + x \log\left(-\cos\left(2 \, x\right) + i \, \sin\left(2 \, x\right) + 1\right) + x \log\left(-\cos\left(2 \, x\right) - i \, \sin\left(2 \, x\right) + 1\right) - \frac{1}{2} i \, {\rm Li}_2\left(\cos\left(2 \, x\right) + i \, \sin\left(2 \, x\right)\right) + \frac{1}{2} i \, {\rm Li}_2\left(\cos\left(2 \, x\right) - i \, \sin\left(2 \, x\right)\right) - \frac{1}{2} i \, {\rm Li}_2\left(-\cos\left(2 \, x\right) + i \, \sin\left(2 \, x\right)\right) + \frac{1}{2} i \, {\rm Li}_2\left(-\cos\left(2 \, x\right) - i \, \sin\left(2 \, x\right)\right)"," ",0,"x*log(-(a*cos(2*x) + a)/(cos(2*x) - 1)) - x*log(cos(2*x) + I*sin(2*x) + 1) - x*log(cos(2*x) - I*sin(2*x) + 1) + x*log(-cos(2*x) + I*sin(2*x) + 1) + x*log(-cos(2*x) - I*sin(2*x) + 1) - 1/2*I*dilog(cos(2*x) + I*sin(2*x)) + 1/2*I*dilog(cos(2*x) - I*sin(2*x)) - 1/2*I*dilog(-cos(2*x) + I*sin(2*x)) + 1/2*I*dilog(-cos(2*x) - I*sin(2*x))","B",0
172,1,158,0,0.790414," ","integrate(log(a*cot(x)^n),x, algorithm=""fricas"")","n x \log\left(\frac{\cos\left(2 \, x\right) + 1}{\sin\left(2 \, x\right)}\right) - \frac{1}{2} \, n x \log\left(\cos\left(2 \, x\right) + i \, \sin\left(2 \, x\right) + 1\right) - \frac{1}{2} \, n x \log\left(\cos\left(2 \, x\right) - i \, \sin\left(2 \, x\right) + 1\right) + \frac{1}{2} \, n x \log\left(-\cos\left(2 \, x\right) + i \, \sin\left(2 \, x\right) + 1\right) + \frac{1}{2} \, n x \log\left(-\cos\left(2 \, x\right) - i \, \sin\left(2 \, x\right) + 1\right) - \frac{1}{4} i \, n {\rm Li}_2\left(\cos\left(2 \, x\right) + i \, \sin\left(2 \, x\right)\right) + \frac{1}{4} i \, n {\rm Li}_2\left(\cos\left(2 \, x\right) - i \, \sin\left(2 \, x\right)\right) - \frac{1}{4} i \, n {\rm Li}_2\left(-\cos\left(2 \, x\right) + i \, \sin\left(2 \, x\right)\right) + \frac{1}{4} i \, n {\rm Li}_2\left(-\cos\left(2 \, x\right) - i \, \sin\left(2 \, x\right)\right) + x \log\left(a\right)"," ",0,"n*x*log((cos(2*x) + 1)/sin(2*x)) - 1/2*n*x*log(cos(2*x) + I*sin(2*x) + 1) - 1/2*n*x*log(cos(2*x) - I*sin(2*x) + 1) + 1/2*n*x*log(-cos(2*x) + I*sin(2*x) + 1) + 1/2*n*x*log(-cos(2*x) - I*sin(2*x) + 1) - 1/4*I*n*dilog(cos(2*x) + I*sin(2*x)) + 1/4*I*n*dilog(cos(2*x) - I*sin(2*x)) - 1/4*I*n*dilog(-cos(2*x) + I*sin(2*x)) + 1/4*I*n*dilog(-cos(2*x) - I*sin(2*x)) + x*log(a)","B",0
173,1,106,0,1.164282," ","integrate(log(a*sec(x)),x, algorithm=""fricas"")","x \log\left(\frac{a}{\cos\left(x\right)}\right) + \frac{1}{2} \, x \log\left(i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) + \frac{1}{2} \, x \log\left(i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) + \frac{1}{2} \, x \log\left(-i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) + \frac{1}{2} \, x \log\left(-i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) + \frac{1}{2} i \, {\rm Li}_2\left(i \, \cos\left(x\right) + \sin\left(x\right)\right) - \frac{1}{2} i \, {\rm Li}_2\left(i \, \cos\left(x\right) - \sin\left(x\right)\right) - \frac{1}{2} i \, {\rm Li}_2\left(-i \, \cos\left(x\right) + \sin\left(x\right)\right) + \frac{1}{2} i \, {\rm Li}_2\left(-i \, \cos\left(x\right) - \sin\left(x\right)\right)"," ",0,"x*log(a/cos(x)) + 1/2*x*log(I*cos(x) + sin(x) + 1) + 1/2*x*log(I*cos(x) - sin(x) + 1) + 1/2*x*log(-I*cos(x) + sin(x) + 1) + 1/2*x*log(-I*cos(x) - sin(x) + 1) + 1/2*I*dilog(I*cos(x) + sin(x)) - 1/2*I*dilog(I*cos(x) - sin(x)) - 1/2*I*dilog(-I*cos(x) + sin(x)) + 1/2*I*dilog(-I*cos(x) - sin(x))","B",0
174,1,102,0,1.051438," ","integrate(log(a*sec(x)^2),x, algorithm=""fricas"")","x \log\left(\frac{a}{\cos\left(x\right)^{2}}\right) + x \log\left(i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) + x \log\left(i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) + x \log\left(-i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) + x \log\left(-i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) + i \, {\rm Li}_2\left(i \, \cos\left(x\right) + \sin\left(x\right)\right) - i \, {\rm Li}_2\left(i \, \cos\left(x\right) - \sin\left(x\right)\right) - i \, {\rm Li}_2\left(-i \, \cos\left(x\right) + \sin\left(x\right)\right) + i \, {\rm Li}_2\left(-i \, \cos\left(x\right) - \sin\left(x\right)\right)"," ",0,"x*log(a/cos(x)^2) + x*log(I*cos(x) + sin(x) + 1) + x*log(I*cos(x) - sin(x) + 1) + x*log(-I*cos(x) + sin(x) + 1) + x*log(-I*cos(x) - sin(x) + 1) + I*dilog(I*cos(x) + sin(x)) - I*dilog(I*cos(x) - sin(x)) - I*dilog(-I*cos(x) + sin(x)) + I*dilog(-I*cos(x) - sin(x))","B",0
175,1,117,0,1.132413," ","integrate(log(a*sec(x)^n),x, algorithm=""fricas"")","n x \log\left(\frac{1}{\cos\left(x\right)}\right) + \frac{1}{2} \, n x \log\left(i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) + \frac{1}{2} \, n x \log\left(i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) + \frac{1}{2} \, n x \log\left(-i \, \cos\left(x\right) + \sin\left(x\right) + 1\right) + \frac{1}{2} \, n x \log\left(-i \, \cos\left(x\right) - \sin\left(x\right) + 1\right) + \frac{1}{2} i \, n {\rm Li}_2\left(i \, \cos\left(x\right) + \sin\left(x\right)\right) - \frac{1}{2} i \, n {\rm Li}_2\left(i \, \cos\left(x\right) - \sin\left(x\right)\right) - \frac{1}{2} i \, n {\rm Li}_2\left(-i \, \cos\left(x\right) + \sin\left(x\right)\right) + \frac{1}{2} i \, n {\rm Li}_2\left(-i \, \cos\left(x\right) - \sin\left(x\right)\right) + x \log\left(a\right)"," ",0,"n*x*log(1/cos(x)) + 1/2*n*x*log(I*cos(x) + sin(x) + 1) + 1/2*n*x*log(I*cos(x) - sin(x) + 1) + 1/2*n*x*log(-I*cos(x) + sin(x) + 1) + 1/2*n*x*log(-I*cos(x) - sin(x) + 1) + 1/2*I*n*dilog(I*cos(x) + sin(x)) - 1/2*I*n*dilog(I*cos(x) - sin(x)) - 1/2*I*n*dilog(-I*cos(x) + sin(x)) + 1/2*I*n*dilog(-I*cos(x) - sin(x)) + x*log(a)","B",0
176,1,106,0,1.191458," ","integrate(log(a*csc(x)),x, algorithm=""fricas"")","x \log\left(\frac{a}{\sin\left(x\right)}\right) + \frac{1}{2} \, x \log\left(\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) + \frac{1}{2} \, x \log\left(\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) + \frac{1}{2} \, x \log\left(-\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) + \frac{1}{2} \, x \log\left(-\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) - \frac{1}{2} i \, {\rm Li}_2\left(\cos\left(x\right) + i \, \sin\left(x\right)\right) + \frac{1}{2} i \, {\rm Li}_2\left(\cos\left(x\right) - i \, \sin\left(x\right)\right) + \frac{1}{2} i \, {\rm Li}_2\left(-\cos\left(x\right) + i \, \sin\left(x\right)\right) - \frac{1}{2} i \, {\rm Li}_2\left(-\cos\left(x\right) - i \, \sin\left(x\right)\right)"," ",0,"x*log(a/sin(x)) + 1/2*x*log(cos(x) + I*sin(x) + 1) + 1/2*x*log(cos(x) - I*sin(x) + 1) + 1/2*x*log(-cos(x) + I*sin(x) + 1) + 1/2*x*log(-cos(x) - I*sin(x) + 1) - 1/2*I*dilog(cos(x) + I*sin(x)) + 1/2*I*dilog(cos(x) - I*sin(x)) + 1/2*I*dilog(-cos(x) + I*sin(x)) - 1/2*I*dilog(-cos(x) - I*sin(x))","B",0
177,1,107,0,1.334814," ","integrate(log(a*csc(x)^2),x, algorithm=""fricas"")","x \log\left(-\frac{a}{\cos\left(x\right)^{2} - 1}\right) + x \log\left(\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) + x \log\left(\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) + x \log\left(-\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) + x \log\left(-\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) - i \, {\rm Li}_2\left(\cos\left(x\right) + i \, \sin\left(x\right)\right) + i \, {\rm Li}_2\left(\cos\left(x\right) - i \, \sin\left(x\right)\right) + i \, {\rm Li}_2\left(-\cos\left(x\right) + i \, \sin\left(x\right)\right) - i \, {\rm Li}_2\left(-\cos\left(x\right) - i \, \sin\left(x\right)\right)"," ",0,"x*log(-a/(cos(x)^2 - 1)) + x*log(cos(x) + I*sin(x) + 1) + x*log(cos(x) - I*sin(x) + 1) + x*log(-cos(x) + I*sin(x) + 1) + x*log(-cos(x) - I*sin(x) + 1) - I*dilog(cos(x) + I*sin(x)) + I*dilog(cos(x) - I*sin(x)) + I*dilog(-cos(x) + I*sin(x)) - I*dilog(-cos(x) - I*sin(x))","B",0
178,1,117,0,1.372271," ","integrate(log(a*csc(x)^n),x, algorithm=""fricas"")","n x \log\left(\frac{1}{\sin\left(x\right)}\right) + \frac{1}{2} \, n x \log\left(\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) + \frac{1}{2} \, n x \log\left(\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) + \frac{1}{2} \, n x \log\left(-\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) + \frac{1}{2} \, n x \log\left(-\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) - \frac{1}{2} i \, n {\rm Li}_2\left(\cos\left(x\right) + i \, \sin\left(x\right)\right) + \frac{1}{2} i \, n {\rm Li}_2\left(\cos\left(x\right) - i \, \sin\left(x\right)\right) + \frac{1}{2} i \, n {\rm Li}_2\left(-\cos\left(x\right) + i \, \sin\left(x\right)\right) - \frac{1}{2} i \, n {\rm Li}_2\left(-\cos\left(x\right) - i \, \sin\left(x\right)\right) + x \log\left(a\right)"," ",0,"n*x*log(1/sin(x)) + 1/2*n*x*log(cos(x) + I*sin(x) + 1) + 1/2*n*x*log(cos(x) - I*sin(x) + 1) + 1/2*n*x*log(-cos(x) + I*sin(x) + 1) + 1/2*n*x*log(-cos(x) - I*sin(x) + 1) - 1/2*I*n*dilog(cos(x) + I*sin(x)) + 1/2*I*n*dilog(cos(x) - I*sin(x)) + 1/2*I*n*dilog(-cos(x) + I*sin(x)) - 1/2*I*n*dilog(-cos(x) - I*sin(x)) + x*log(a)","B",0
179,1,17,0,1.198194," ","integrate(cos(x)*log(1/2-1/2*cos(2*x)),x, algorithm=""fricas"")","\log\left(-\cos\left(x\right)^{2} + 1\right) \sin\left(x\right) - 2 \, \sin\left(x\right)"," ",0,"log(-cos(x)^2 + 1)*sin(x) - 2*sin(x)","A",0
180,1,6,0,1.285283," ","integrate(cot(x)/log(E*sin(x)),x, algorithm=""fricas"")","\log\left(\log\left(E \sin\left(x\right)\right)\right)"," ",0,"log(log(E*sin(x)))","A",0
181,1,6,0,0.804666," ","integrate(cot(x)/log(exp(sin(x))),x, algorithm=""fricas"")","-\frac{1}{\sin\left(x\right)}"," ",0,"-1/sin(x)","A",0
182,1,22,0,1.136753," ","integrate(log(cos(x))*sec(x)^2,x, algorithm=""fricas"")","-\frac{x \cos\left(x\right) - \log\left(\cos\left(x\right)\right) \sin\left(x\right) - \sin\left(x\right)}{\cos\left(x\right)}"," ",0,"-(x*cos(x) - log(cos(x))*sin(x) - sin(x))/cos(x)","A",0
183,1,7,0,1.211621," ","integrate(cot(x)*log(sin(x)),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(\sin\left(x\right)\right)^{2}"," ",0,"1/2*log(sin(x))^2","A",0
184,1,24,0,1.102234," ","integrate(cos(x)*log(sin(x))*sin(x)^2,x, algorithm=""fricas"")","-\frac{1}{3} \, {\left(\cos\left(x\right)^{2} - 1\right)} \log\left(\sin\left(x\right)\right) \sin\left(x\right) + \frac{1}{9} \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)"," ",0,"-1/3*(cos(x)^2 - 1)*log(sin(x))*sin(x) + 1/9*(cos(x)^2 - 1)*sin(x)","A",0
185,1,65,0,1.146032," ","integrate(cos(b*x+a)*log(cos(1/2*a+1/2*b*x)*sin(1/2*a+1/2*b*x)),x, algorithm=""fricas"")","\frac{2 \, {\left(\cos\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) \log\left(\cos\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) \sin\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)\right) \sin\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) - \cos\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) \sin\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)\right)}}{b}"," ",0,"2*(cos(1/2*b*x + 1/2*a)*log(cos(1/2*b*x + 1/2*a)*sin(1/2*b*x + 1/2*a))*sin(1/2*b*x + 1/2*a) - cos(1/2*b*x + 1/2*a)*sin(1/2*b*x + 1/2*a))/b","A",0
186,1,6,0,1.143716," ","integrate(tan(x)/log(cos(x)),x, algorithm=""fricas"")","-\log\left(\log\left(\cos\left(x\right)\right)\right)"," ",0,"-log(log(cos(x)))","A",0
187,1,7,0,1.295469," ","integrate(log(cos(x))*tan(x),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(\cos\left(x\right)\right)^{2}"," ",0,"-1/2*log(cos(x))^2","A",0
188,1,10,0,0.648721," ","integrate(log(cos(x))*sin(x),x, algorithm=""fricas"")","-\cos\left(x\right) \log\left(\cos\left(x\right)\right) + \cos\left(x\right)"," ",0,"-cos(x)*log(cos(x)) + cos(x)","A",0
189,1,27,0,0.912803," ","integrate(cos(x)*log(cos(x)),x, algorithm=""fricas"")","\log\left(\cos\left(x\right)\right) \sin\left(x\right) + \frac{1}{2} \, \log\left(\sin\left(x\right) + 1\right) - \frac{1}{2} \, \log\left(-\sin\left(x\right) + 1\right) - \sin\left(x\right)"," ",0,"log(cos(x))*sin(x) + 1/2*log(sin(x) + 1) - 1/2*log(-sin(x) + 1) - sin(x)","A",0
190,1,11,0,0.950499," ","integrate(cos(x)*log(sin(x)),x, algorithm=""fricas"")","\log\left(\sin\left(x\right)\right) \sin\left(x\right) - \sin\left(x\right)"," ",0,"log(sin(x))*sin(x) - sin(x)","A",0
191,1,120,0,1.249125," ","integrate(log(sin(x))*sin(x)^2,x, algorithm=""fricas"")","-\frac{1}{4} \, x \log\left(\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{4} \, x \log\left(\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) - \frac{1}{4} \, x \log\left(-\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{4} \, x \log\left(-\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) - \frac{1}{2} \, {\left(\cos\left(x\right) \sin\left(x\right) - x\right)} \log\left(\sin\left(x\right)\right) + \frac{1}{4} \, \cos\left(x\right) \sin\left(x\right) + \frac{1}{4} \, x + \frac{1}{4} i \, {\rm Li}_2\left(\cos\left(x\right) + i \, \sin\left(x\right)\right) - \frac{1}{4} i \, {\rm Li}_2\left(\cos\left(x\right) - i \, \sin\left(x\right)\right) - \frac{1}{4} i \, {\rm Li}_2\left(-\cos\left(x\right) + i \, \sin\left(x\right)\right) + \frac{1}{4} i \, {\rm Li}_2\left(-\cos\left(x\right) - i \, \sin\left(x\right)\right)"," ",0,"-1/4*x*log(cos(x) + I*sin(x) + 1) - 1/4*x*log(cos(x) - I*sin(x) + 1) - 1/4*x*log(-cos(x) + I*sin(x) + 1) - 1/4*x*log(-cos(x) - I*sin(x) + 1) - 1/2*(cos(x)*sin(x) - x)*log(sin(x)) + 1/4*cos(x)*sin(x) + 1/4*x + 1/4*I*dilog(cos(x) + I*sin(x)) - 1/4*I*dilog(cos(x) - I*sin(x)) - 1/4*I*dilog(-cos(x) + I*sin(x)) + 1/4*I*dilog(-cos(x) - I*sin(x))","B",0
192,1,43,0,1.095073," ","integrate(log(sin(x))*sin(x)^3,x, algorithm=""fricas"")","-\frac{1}{9} \, \cos\left(x\right)^{3} + \frac{1}{3} \, {\left(\cos\left(x\right)^{3} - 3 \, \cos\left(x\right)\right)} \log\left(\sin\left(x\right)\right) + \frac{2}{3} \, \cos\left(x\right) - \frac{1}{3} \, \log\left(\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right) + \frac{1}{3} \, \log\left(-\frac{1}{2} \, \cos\left(x\right) + \frac{1}{2}\right)"," ",0,"-1/9*cos(x)^3 + 1/3*(cos(x)^3 - 3*cos(x))*log(sin(x)) + 2/3*cos(x) - 1/3*log(1/2*cos(x) + 1/2) + 1/3*log(-1/2*cos(x) + 1/2)","A",0
193,0,0,0,0.933794," ","integrate(log(sin(x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left(\log\left(\sin\left(\sqrt{x}\right)\right), x\right)"," ",0,"integral(log(sin(sqrt(x))), x)","F",0
194,1,19,0,0.846406," ","integrate(csc(x)^2*log(sin(x)),x, algorithm=""fricas"")","-\frac{\cos\left(x\right) \log\left(\sin\left(x\right)\right) + x \sin\left(x\right) + \cos\left(x\right)}{\sin\left(x\right)}"," ",0,"-(cos(x)*log(sin(x)) + x*sin(x) + cos(x))/sin(x)","A",0
195,1,134,0,0.858949," ","integrate(log(x)*sinh(b*x+a),x, algorithm=""fricas"")","-\frac{{\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \cosh\left(b x + a\right) \cosh\left(a\right) - \log\left(x\right) \sinh\left(b x + a\right)^{2} + {\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \cosh\left(b x + a\right) \sinh\left(a\right) - {\left(\cosh\left(b x + a\right)^{2} + 1\right)} \log\left(x\right) + {\left({\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) - 2 \, \cosh\left(b x + a\right) \log\left(x\right) + {\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)\right)} \sinh\left(b x + a\right)}{2 \, {\left(b \cosh\left(b x + a\right) + b \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*((Ei(b*x) + Ei(-b*x))*cosh(b*x + a)*cosh(a) - log(x)*sinh(b*x + a)^2 + (Ei(b*x) - Ei(-b*x))*cosh(b*x + a)*sinh(a) - (cosh(b*x + a)^2 + 1)*log(x) + ((Ei(b*x) + Ei(-b*x))*cosh(a) - 2*cosh(b*x + a)*log(x) + (Ei(b*x) - Ei(-b*x))*sinh(a))*sinh(b*x + a))/(b*cosh(b*x + a) + b*sinh(b*x + a))","B",0
196,1,313,0,0.936298," ","integrate(log(x)*sinh(b*x+a)^2,x, algorithm=""fricas"")","\frac{4 \, \cosh\left(b x + a\right) \log\left(x\right) \sinh\left(b x + a\right)^{3} + \log\left(x\right) \sinh\left(b x + a\right)^{4} - {\left({\rm Ei}\left(2 \, b x\right) + {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(b x + a\right)^{2} \sinh\left(2 \, a\right) + {\left(4 \, b x - {\left({\rm Ei}\left(2 \, b x\right) - {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right)\right)} \cosh\left(b x + a\right)^{2} + {\left(4 \, b x - {\left({\rm Ei}\left(2 \, b x\right) - {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) - 2 \, {\left(2 \, b x - 3 \, \cosh\left(b x + a\right)^{2}\right)} \log\left(x\right) - {\left({\rm Ei}\left(2 \, b x\right) + {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)\right)} \sinh\left(b x + a\right)^{2} - {\left(4 \, b x \cosh\left(b x + a\right)^{2} - \cosh\left(b x + a\right)^{4} + 1\right)} \log\left(x\right) - 2 \, {\left({\left({\rm Ei}\left(2 \, b x\right) + {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(b x + a\right) \sinh\left(2 \, a\right) - {\left(4 \, b x - {\left({\rm Ei}\left(2 \, b x\right) - {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right)\right)} \cosh\left(b x + a\right) + 2 \, {\left(2 \, b x \cosh\left(b x + a\right) - \cosh\left(b x + a\right)^{3}\right)} \log\left(x\right)\right)} \sinh\left(b x + a\right)}{8 \, {\left(b \cosh\left(b x + a\right)^{2} + 2 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/8*(4*cosh(b*x + a)*log(x)*sinh(b*x + a)^3 + log(x)*sinh(b*x + a)^4 - (Ei(2*b*x) + Ei(-2*b*x))*cosh(b*x + a)^2*sinh(2*a) + (4*b*x - (Ei(2*b*x) - Ei(-2*b*x))*cosh(2*a))*cosh(b*x + a)^2 + (4*b*x - (Ei(2*b*x) - Ei(-2*b*x))*cosh(2*a) - 2*(2*b*x - 3*cosh(b*x + a)^2)*log(x) - (Ei(2*b*x) + Ei(-2*b*x))*sinh(2*a))*sinh(b*x + a)^2 - (4*b*x*cosh(b*x + a)^2 - cosh(b*x + a)^4 + 1)*log(x) - 2*((Ei(2*b*x) + Ei(-2*b*x))*cosh(b*x + a)*sinh(2*a) - (4*b*x - (Ei(2*b*x) - Ei(-2*b*x))*cosh(2*a))*cosh(b*x + a) + 2*(2*b*x*cosh(b*x + a) - cosh(b*x + a)^3)*log(x))*sinh(b*x + a))/(b*cosh(b*x + a)^2 + 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2)","B",0
197,1,587,0,0.990142," ","integrate(log(x)*sinh(b*x+a)^3,x, algorithm=""fricas"")","\frac{6 \, \cosh\left(b x + a\right) \log\left(x\right) \sinh\left(b x + a\right)^{5} + \log\left(x\right) \sinh\left(b x + a\right)^{6} + 3 \, {\left(5 \, \cosh\left(b x + a\right)^{2} - 3\right)} \log\left(x\right) \sinh\left(b x + a\right)^{4} - {\left({\rm Ei}\left(3 \, b x\right) - {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(b x + a\right)^{3} \sinh\left(3 \, a\right) + 9 \, {\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \cosh\left(b x + a\right)^{3} \sinh\left(a\right) - {\left({\left({\rm Ei}\left(3 \, b x\right) + {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) - 9 \, {\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right)\right)} \cosh\left(b x + a\right)^{3} - {\left({\left({\rm Ei}\left(3 \, b x\right) + {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) - 9 \, {\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) - 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} - 9 \, \cosh\left(b x + a\right)\right)} \log\left(x\right) + {\left({\rm Ei}\left(3 \, b x\right) - {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) - 9 \, {\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)\right)} \sinh\left(b x + a\right)^{3} - 3 \, {\left({\left({\rm Ei}\left(3 \, b x\right) - {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(b x + a\right) \sinh\left(3 \, a\right) - 9 \, {\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \cosh\left(b x + a\right) \sinh\left(a\right) + {\left({\left({\rm Ei}\left(3 \, b x\right) + {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) - 9 \, {\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right)\right)} \cosh\left(b x + a\right) - {\left(5 \, \cosh\left(b x + a\right)^{4} - 18 \, \cosh\left(b x + a\right)^{2} - 3\right)} \log\left(x\right)\right)} \sinh\left(b x + a\right)^{2} + {\left(\cosh\left(b x + a\right)^{6} - 9 \, \cosh\left(b x + a\right)^{4} - 9 \, \cosh\left(b x + a\right)^{2} + 1\right)} \log\left(x\right) - 3 \, {\left({\left({\rm Ei}\left(3 \, b x\right) - {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(b x + a\right)^{2} \sinh\left(3 \, a\right) - 9 \, {\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \cosh\left(b x + a\right)^{2} \sinh\left(a\right) + {\left({\left({\rm Ei}\left(3 \, b x\right) + {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) - 9 \, {\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right)\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right)^{5} - 6 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \log\left(x\right)\right)} \sinh\left(b x + a\right)}{24 \, {\left(b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right) + 3 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b \sinh\left(b x + a\right)^{3}\right)}}"," ",0,"1/24*(6*cosh(b*x + a)*log(x)*sinh(b*x + a)^5 + log(x)*sinh(b*x + a)^6 + 3*(5*cosh(b*x + a)^2 - 3)*log(x)*sinh(b*x + a)^4 - (Ei(3*b*x) - Ei(-3*b*x))*cosh(b*x + a)^3*sinh(3*a) + 9*(Ei(b*x) - Ei(-b*x))*cosh(b*x + a)^3*sinh(a) - ((Ei(3*b*x) + Ei(-3*b*x))*cosh(3*a) - 9*(Ei(b*x) + Ei(-b*x))*cosh(a))*cosh(b*x + a)^3 - ((Ei(3*b*x) + Ei(-3*b*x))*cosh(3*a) - 9*(Ei(b*x) + Ei(-b*x))*cosh(a) - 4*(5*cosh(b*x + a)^3 - 9*cosh(b*x + a))*log(x) + (Ei(3*b*x) - Ei(-3*b*x))*sinh(3*a) - 9*(Ei(b*x) - Ei(-b*x))*sinh(a))*sinh(b*x + a)^3 - 3*((Ei(3*b*x) - Ei(-3*b*x))*cosh(b*x + a)*sinh(3*a) - 9*(Ei(b*x) - Ei(-b*x))*cosh(b*x + a)*sinh(a) + ((Ei(3*b*x) + Ei(-3*b*x))*cosh(3*a) - 9*(Ei(b*x) + Ei(-b*x))*cosh(a))*cosh(b*x + a) - (5*cosh(b*x + a)^4 - 18*cosh(b*x + a)^2 - 3)*log(x))*sinh(b*x + a)^2 + (cosh(b*x + a)^6 - 9*cosh(b*x + a)^4 - 9*cosh(b*x + a)^2 + 1)*log(x) - 3*((Ei(3*b*x) - Ei(-3*b*x))*cosh(b*x + a)^2*sinh(3*a) - 9*(Ei(b*x) - Ei(-b*x))*cosh(b*x + a)^2*sinh(a) + ((Ei(3*b*x) + Ei(-3*b*x))*cosh(3*a) - 9*(Ei(b*x) + Ei(-b*x))*cosh(a))*cosh(b*x + a)^2 - 2*(cosh(b*x + a)^5 - 6*cosh(b*x + a)^3 - 3*cosh(b*x + a))*log(x))*sinh(b*x + a))/(b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a)^2*sinh(b*x + a) + 3*b*cosh(b*x + a)*sinh(b*x + a)^2 + b*sinh(b*x + a)^3)","B",0
198,1,134,0,0.589748," ","integrate(cosh(b*x+a)*log(x),x, algorithm=""fricas"")","-\frac{{\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \cosh\left(b x + a\right) \cosh\left(a\right) - \log\left(x\right) \sinh\left(b x + a\right)^{2} + {\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \cosh\left(b x + a\right) \sinh\left(a\right) - {\left(\cosh\left(b x + a\right)^{2} - 1\right)} \log\left(x\right) + {\left({\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) - 2 \, \cosh\left(b x + a\right) \log\left(x\right) + {\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)\right)} \sinh\left(b x + a\right)}{2 \, {\left(b \cosh\left(b x + a\right) + b \sinh\left(b x + a\right)\right)}}"," ",0,"-1/2*((Ei(b*x) - Ei(-b*x))*cosh(b*x + a)*cosh(a) - log(x)*sinh(b*x + a)^2 + (Ei(b*x) + Ei(-b*x))*cosh(b*x + a)*sinh(a) - (cosh(b*x + a)^2 - 1)*log(x) + ((Ei(b*x) - Ei(-b*x))*cosh(a) - 2*cosh(b*x + a)*log(x) + (Ei(b*x) + Ei(-b*x))*sinh(a))*sinh(b*x + a))/(b*cosh(b*x + a) + b*sinh(b*x + a))","B",0
199,1,305,0,0.895025," ","integrate(cosh(b*x+a)^2*log(x),x, algorithm=""fricas"")","\frac{4 \, \cosh\left(b x + a\right) \log\left(x\right) \sinh\left(b x + a\right)^{3} + \log\left(x\right) \sinh\left(b x + a\right)^{4} - {\left({\rm Ei}\left(2 \, b x\right) + {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(b x + a\right)^{2} \sinh\left(2 \, a\right) - {\left(4 \, b x + {\left({\rm Ei}\left(2 \, b x\right) - {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right)\right)} \cosh\left(b x + a\right)^{2} - {\left(4 \, b x + {\left({\rm Ei}\left(2 \, b x\right) - {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right) - 2 \, {\left(2 \, b x + 3 \, \cosh\left(b x + a\right)^{2}\right)} \log\left(x\right) + {\left({\rm Ei}\left(2 \, b x\right) + {\rm Ei}\left(-2 \, b x\right)\right)} \sinh\left(2 \, a\right)\right)} \sinh\left(b x + a\right)^{2} + {\left(4 \, b x \cosh\left(b x + a\right)^{2} + \cosh\left(b x + a\right)^{4} - 1\right)} \log\left(x\right) - 2 \, {\left({\left({\rm Ei}\left(2 \, b x\right) + {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(b x + a\right) \sinh\left(2 \, a\right) + {\left(4 \, b x + {\left({\rm Ei}\left(2 \, b x\right) - {\rm Ei}\left(-2 \, b x\right)\right)} \cosh\left(2 \, a\right)\right)} \cosh\left(b x + a\right) - 2 \, {\left(2 \, b x \cosh\left(b x + a\right) + \cosh\left(b x + a\right)^{3}\right)} \log\left(x\right)\right)} \sinh\left(b x + a\right)}{8 \, {\left(b \cosh\left(b x + a\right)^{2} + 2 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b \sinh\left(b x + a\right)^{2}\right)}}"," ",0,"1/8*(4*cosh(b*x + a)*log(x)*sinh(b*x + a)^3 + log(x)*sinh(b*x + a)^4 - (Ei(2*b*x) + Ei(-2*b*x))*cosh(b*x + a)^2*sinh(2*a) - (4*b*x + (Ei(2*b*x) - Ei(-2*b*x))*cosh(2*a))*cosh(b*x + a)^2 - (4*b*x + (Ei(2*b*x) - Ei(-2*b*x))*cosh(2*a) - 2*(2*b*x + 3*cosh(b*x + a)^2)*log(x) + (Ei(2*b*x) + Ei(-2*b*x))*sinh(2*a))*sinh(b*x + a)^2 + (4*b*x*cosh(b*x + a)^2 + cosh(b*x + a)^4 - 1)*log(x) - 2*((Ei(2*b*x) + Ei(-2*b*x))*cosh(b*x + a)*sinh(2*a) + (4*b*x + (Ei(2*b*x) - Ei(-2*b*x))*cosh(2*a))*cosh(b*x + a) - 2*(2*b*x*cosh(b*x + a) + cosh(b*x + a)^3)*log(x))*sinh(b*x + a))/(b*cosh(b*x + a)^2 + 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2)","B",0
200,1,587,0,0.910454," ","integrate(cosh(b*x+a)^3*log(x),x, algorithm=""fricas"")","\frac{6 \, \cosh\left(b x + a\right) \log\left(x\right) \sinh\left(b x + a\right)^{5} + \log\left(x\right) \sinh\left(b x + a\right)^{6} + 3 \, {\left(5 \, \cosh\left(b x + a\right)^{2} + 3\right)} \log\left(x\right) \sinh\left(b x + a\right)^{4} - {\left({\rm Ei}\left(3 \, b x\right) + {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(b x + a\right)^{3} \sinh\left(3 \, a\right) - 9 \, {\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \cosh\left(b x + a\right)^{3} \sinh\left(a\right) - {\left({\left({\rm Ei}\left(3 \, b x\right) - {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) + 9 \, {\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right)\right)} \cosh\left(b x + a\right)^{3} - {\left({\left({\rm Ei}\left(3 \, b x\right) - {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) + 9 \, {\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right) - 4 \, {\left(5 \, \cosh\left(b x + a\right)^{3} + 9 \, \cosh\left(b x + a\right)\right)} \log\left(x\right) + {\left({\rm Ei}\left(3 \, b x\right) + {\rm Ei}\left(-3 \, b x\right)\right)} \sinh\left(3 \, a\right) + 9 \, {\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \sinh\left(a\right)\right)} \sinh\left(b x + a\right)^{3} - 3 \, {\left({\left({\rm Ei}\left(3 \, b x\right) + {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(b x + a\right) \sinh\left(3 \, a\right) + 9 \, {\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \cosh\left(b x + a\right) \sinh\left(a\right) + {\left({\left({\rm Ei}\left(3 \, b x\right) - {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) + 9 \, {\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right)\right)} \cosh\left(b x + a\right) - {\left(5 \, \cosh\left(b x + a\right)^{4} + 18 \, \cosh\left(b x + a\right)^{2} - 3\right)} \log\left(x\right)\right)} \sinh\left(b x + a\right)^{2} + {\left(\cosh\left(b x + a\right)^{6} + 9 \, \cosh\left(b x + a\right)^{4} - 9 \, \cosh\left(b x + a\right)^{2} - 1\right)} \log\left(x\right) - 3 \, {\left({\left({\rm Ei}\left(3 \, b x\right) + {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(b x + a\right)^{2} \sinh\left(3 \, a\right) + 9 \, {\left({\rm Ei}\left(b x\right) + {\rm Ei}\left(-b x\right)\right)} \cosh\left(b x + a\right)^{2} \sinh\left(a\right) + {\left({\left({\rm Ei}\left(3 \, b x\right) - {\rm Ei}\left(-3 \, b x\right)\right)} \cosh\left(3 \, a\right) + 9 \, {\left({\rm Ei}\left(b x\right) - {\rm Ei}\left(-b x\right)\right)} \cosh\left(a\right)\right)} \cosh\left(b x + a\right)^{2} - 2 \, {\left(\cosh\left(b x + a\right)^{5} + 6 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \log\left(x\right)\right)} \sinh\left(b x + a\right)}{24 \, {\left(b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)^{2} \sinh\left(b x + a\right) + 3 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + b \sinh\left(b x + a\right)^{3}\right)}}"," ",0,"1/24*(6*cosh(b*x + a)*log(x)*sinh(b*x + a)^5 + log(x)*sinh(b*x + a)^6 + 3*(5*cosh(b*x + a)^2 + 3)*log(x)*sinh(b*x + a)^4 - (Ei(3*b*x) + Ei(-3*b*x))*cosh(b*x + a)^3*sinh(3*a) - 9*(Ei(b*x) + Ei(-b*x))*cosh(b*x + a)^3*sinh(a) - ((Ei(3*b*x) - Ei(-3*b*x))*cosh(3*a) + 9*(Ei(b*x) - Ei(-b*x))*cosh(a))*cosh(b*x + a)^3 - ((Ei(3*b*x) - Ei(-3*b*x))*cosh(3*a) + 9*(Ei(b*x) - Ei(-b*x))*cosh(a) - 4*(5*cosh(b*x + a)^3 + 9*cosh(b*x + a))*log(x) + (Ei(3*b*x) + Ei(-3*b*x))*sinh(3*a) + 9*(Ei(b*x) + Ei(-b*x))*sinh(a))*sinh(b*x + a)^3 - 3*((Ei(3*b*x) + Ei(-3*b*x))*cosh(b*x + a)*sinh(3*a) + 9*(Ei(b*x) + Ei(-b*x))*cosh(b*x + a)*sinh(a) + ((Ei(3*b*x) - Ei(-3*b*x))*cosh(3*a) + 9*(Ei(b*x) - Ei(-b*x))*cosh(a))*cosh(b*x + a) - (5*cosh(b*x + a)^4 + 18*cosh(b*x + a)^2 - 3)*log(x))*sinh(b*x + a)^2 + (cosh(b*x + a)^6 + 9*cosh(b*x + a)^4 - 9*cosh(b*x + a)^2 - 1)*log(x) - 3*((Ei(3*b*x) + Ei(-3*b*x))*cosh(b*x + a)^2*sinh(3*a) + 9*(Ei(b*x) + Ei(-b*x))*cosh(b*x + a)^2*sinh(a) + ((Ei(3*b*x) - Ei(-3*b*x))*cosh(3*a) + 9*(Ei(b*x) - Ei(-b*x))*cosh(a))*cosh(b*x + a)^2 - 2*(cosh(b*x + a)^5 + 6*cosh(b*x + a)^3 - 3*cosh(b*x + a))*log(x))*sinh(b*x + a))/(b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a)^2*sinh(b*x + a) + 3*b*cosh(b*x + a)*sinh(b*x + a)^2 + b*sinh(b*x + a)^3)","B",0
201,1,57,0,0.853626," ","integrate(log(a*sinh(x)),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} + x \log\left(a \sinh\left(x\right)\right) - x \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - x \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) - {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right)"," ",0,"1/2*x^2 + x*log(a*sinh(x)) - x*log(cosh(x) + sinh(x) + 1) - x*log(-cosh(x) - sinh(x) + 1) - dilog(cosh(x) + sinh(x)) - dilog(-cosh(x) - sinh(x))","A",0
202,1,69,0,0.805514," ","integrate(log(a*sinh(x)^2),x, algorithm=""fricas"")","x^{2} + x \log\left(\frac{1}{2} \, a \cosh\left(x\right)^{2} + \frac{1}{2} \, a \sinh\left(x\right)^{2} - \frac{1}{2} \, a\right) - 2 \, x \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - 2 \, x \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) - 2 \, {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - 2 \, {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right)"," ",0,"x^2 + x*log(1/2*a*cosh(x)^2 + 1/2*a*sinh(x)^2 - 1/2*a) - 2*x*log(cosh(x) + sinh(x) + 1) - 2*x*log(-cosh(x) - sinh(x) + 1) - 2*dilog(cosh(x) + sinh(x)) - 2*dilog(-cosh(x) - sinh(x))","B",0
203,1,65,0,0.861258," ","integrate(log(a*sinh(x)^n),x, algorithm=""fricas"")","\frac{1}{2} \, n x^{2} - n x \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - n x \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + n x \log\left(\sinh\left(x\right)\right) - n {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - n {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) + x \log\left(a\right)"," ",0,"1/2*n*x^2 - n*x*log(cosh(x) + sinh(x) + 1) - n*x*log(-cosh(x) - sinh(x) + 1) + n*x*log(sinh(x)) - n*dilog(cosh(x) + sinh(x)) - n*dilog(-cosh(x) - sinh(x)) + x*log(a)","A",0
204,1,65,0,0.957993," ","integrate(log(a*cosh(x)),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} + x \log\left(a \cosh\left(x\right)\right) - x \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) - x \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) - {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) - {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right)"," ",0,"1/2*x^2 + x*log(a*cosh(x)) - x*log(I*cosh(x) + I*sinh(x) + 1) - x*log(-I*cosh(x) - I*sinh(x) + 1) - dilog(I*cosh(x) + I*sinh(x)) - dilog(-I*cosh(x) - I*sinh(x))","C",0
205,1,77,0,0.794540," ","integrate(log(a*cosh(x)^2),x, algorithm=""fricas"")","x^{2} + x \log\left(\frac{1}{2} \, a \cosh\left(x\right)^{2} + \frac{1}{2} \, a \sinh\left(x\right)^{2} + \frac{1}{2} \, a\right) - 2 \, x \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) - 2 \, x \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) - 2 \, {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) - 2 \, {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right)"," ",0,"x^2 + x*log(1/2*a*cosh(x)^2 + 1/2*a*sinh(x)^2 + 1/2*a) - 2*x*log(I*cosh(x) + I*sinh(x) + 1) - 2*x*log(-I*cosh(x) - I*sinh(x) + 1) - 2*dilog(I*cosh(x) + I*sinh(x)) - 2*dilog(-I*cosh(x) - I*sinh(x))","C",0
206,1,73,0,0.559439," ","integrate(log(a*cosh(x)^n),x, algorithm=""fricas"")","\frac{1}{2} \, n x^{2} - n x \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) - n x \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) + n x \log\left(\cosh\left(x\right)\right) - n {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) - n {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) + x \log\left(a\right)"," ",0,"1/2*n*x^2 - n*x*log(I*cosh(x) + I*sinh(x) + 1) - n*x*log(-I*cosh(x) - I*sinh(x) + 1) + n*x*log(cosh(x)) - n*dilog(I*cosh(x) + I*sinh(x)) - n*dilog(-I*cosh(x) - I*sinh(x)) + x*log(a)","C",0
207,1,101,0,0.920395," ","integrate(log(tanh(x)),x, algorithm=""fricas"")","x \log\left(\frac{\sinh\left(x\right)}{\cosh\left(x\right)}\right) - x \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + x \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) + x \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) - x \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) - {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) + {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) - {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right)"," ",0,"x*log(sinh(x)/cosh(x)) - x*log(cosh(x) + sinh(x) + 1) + x*log(I*cosh(x) + I*sinh(x) + 1) + x*log(-I*cosh(x) - I*sinh(x) + 1) - x*log(-cosh(x) - sinh(x) + 1) - dilog(cosh(x) + sinh(x)) + dilog(I*cosh(x) + I*sinh(x)) + dilog(-I*cosh(x) - I*sinh(x)) - dilog(-cosh(x) - sinh(x))","C",0
208,1,102,0,0.848485," ","integrate(log(a*tanh(x)),x, algorithm=""fricas"")","x \log\left(\frac{a \sinh\left(x\right)}{\cosh\left(x\right)}\right) - x \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + x \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) + x \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) - x \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) - {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) + {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) - {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right)"," ",0,"x*log(a*sinh(x)/cosh(x)) - x*log(cosh(x) + sinh(x) + 1) + x*log(I*cosh(x) + I*sinh(x) + 1) + x*log(-I*cosh(x) - I*sinh(x) + 1) - x*log(-cosh(x) - sinh(x) + 1) - dilog(cosh(x) + sinh(x)) + dilog(I*cosh(x) + I*sinh(x)) + dilog(-I*cosh(x) - I*sinh(x)) - dilog(-cosh(x) - sinh(x))","C",0
209,1,129,0,0.760188," ","integrate(log(a*tanh(x)^2),x, algorithm=""fricas"")","x \log\left(\frac{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} - a}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} + 1}\right) - 2 \, x \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 2 \, x \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) + 2 \, x \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) - 2 \, x \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) - 2 \, {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 2 \, {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) + 2 \, {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) - 2 \, {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right)"," ",0,"x*log((a*cosh(x)^2 + a*sinh(x)^2 - a)/(cosh(x)^2 + sinh(x)^2 + 1)) - 2*x*log(cosh(x) + sinh(x) + 1) + 2*x*log(I*cosh(x) + I*sinh(x) + 1) + 2*x*log(-I*cosh(x) - I*sinh(x) + 1) - 2*x*log(-cosh(x) - sinh(x) + 1) - 2*dilog(cosh(x) + sinh(x)) + 2*dilog(I*cosh(x) + I*sinh(x)) + 2*dilog(-I*cosh(x) - I*sinh(x)) - 2*dilog(-cosh(x) - sinh(x))","C",0
210,1,116,0,0.675395," ","integrate(log(a*tanh(x)^n),x, algorithm=""fricas"")","n x \log\left(\frac{\sinh\left(x\right)}{\cosh\left(x\right)}\right) - n x \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + n x \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) + n x \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) - n x \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) - n {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + n {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) + n {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) - n {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) + x \log\left(a\right)"," ",0,"n*x*log(sinh(x)/cosh(x)) - n*x*log(cosh(x) + sinh(x) + 1) + n*x*log(I*cosh(x) + I*sinh(x) + 1) + n*x*log(-I*cosh(x) - I*sinh(x) + 1) - n*x*log(-cosh(x) - sinh(x) + 1) - n*dilog(cosh(x) + sinh(x)) + n*dilog(I*cosh(x) + I*sinh(x)) + n*dilog(-I*cosh(x) - I*sinh(x)) - n*dilog(-cosh(x) - sinh(x)) + x*log(a)","C",0
211,1,101,0,0.886344," ","integrate(log(coth(x)),x, algorithm=""fricas"")","x \log\left(\frac{\cosh\left(x\right)}{\sinh\left(x\right)}\right) + x \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - x \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) - x \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) + x \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) - {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) + {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right)"," ",0,"x*log(cosh(x)/sinh(x)) + x*log(cosh(x) + sinh(x) + 1) - x*log(I*cosh(x) + I*sinh(x) + 1) - x*log(-I*cosh(x) - I*sinh(x) + 1) + x*log(-cosh(x) - sinh(x) + 1) + dilog(cosh(x) + sinh(x)) - dilog(I*cosh(x) + I*sinh(x)) - dilog(-I*cosh(x) - I*sinh(x)) + dilog(-cosh(x) - sinh(x))","C",0
212,1,102,0,0.851099," ","integrate(log(a*coth(x)),x, algorithm=""fricas"")","x \log\left(\frac{a \cosh\left(x\right)}{\sinh\left(x\right)}\right) + x \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - x \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) - x \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) + x \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) - {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) + {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right)"," ",0,"x*log(a*cosh(x)/sinh(x)) + x*log(cosh(x) + sinh(x) + 1) - x*log(I*cosh(x) + I*sinh(x) + 1) - x*log(-I*cosh(x) - I*sinh(x) + 1) + x*log(-cosh(x) - sinh(x) + 1) + dilog(cosh(x) + sinh(x)) - dilog(I*cosh(x) + I*sinh(x)) - dilog(-I*cosh(x) - I*sinh(x)) + dilog(-cosh(x) - sinh(x))","C",0
213,1,127,0,0.639446," ","integrate(log(a*coth(x)^2),x, algorithm=""fricas"")","x \log\left(\frac{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + a}{\cosh\left(x\right)^{2} + \sinh\left(x\right)^{2} - 1}\right) + 2 \, x \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - 2 \, x \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) - 2 \, x \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) + 2 \, x \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + 2 \, {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - 2 \, {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) - 2 \, {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) + 2 \, {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right)"," ",0,"x*log((a*cosh(x)^2 + a*sinh(x)^2 + a)/(cosh(x)^2 + sinh(x)^2 - 1)) + 2*x*log(cosh(x) + sinh(x) + 1) - 2*x*log(I*cosh(x) + I*sinh(x) + 1) - 2*x*log(-I*cosh(x) - I*sinh(x) + 1) + 2*x*log(-cosh(x) - sinh(x) + 1) + 2*dilog(cosh(x) + sinh(x)) - 2*dilog(I*cosh(x) + I*sinh(x)) - 2*dilog(-I*cosh(x) - I*sinh(x)) + 2*dilog(-cosh(x) - sinh(x))","C",0
214,1,116,0,0.853723," ","integrate(log(a*coth(x)^n),x, algorithm=""fricas"")","n x \log\left(\frac{\cosh\left(x\right)}{\sinh\left(x\right)}\right) + n x \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - n x \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) - n x \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) + n x \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + n {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - n {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) - n {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) + n {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) + x \log\left(a\right)"," ",0,"n*x*log(cosh(x)/sinh(x)) + n*x*log(cosh(x) + sinh(x) + 1) - n*x*log(I*cosh(x) + I*sinh(x) + 1) - n*x*log(-I*cosh(x) - I*sinh(x) + 1) + n*x*log(-cosh(x) - sinh(x) + 1) + n*dilog(cosh(x) + sinh(x)) - n*dilog(I*cosh(x) + I*sinh(x)) - n*dilog(-I*cosh(x) - I*sinh(x)) + n*dilog(-cosh(x) - sinh(x)) + x*log(a)","C",0
215,1,84,0,0.963080," ","integrate(log(a*sech(x)),x, algorithm=""fricas"")","-\frac{1}{2} \, x^{2} + x \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + a \sinh\left(x\right)\right)}}{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1}\right) + x \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) + x \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) + {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) + {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right)"," ",0,"-1/2*x^2 + x*log(2*(a*cosh(x) + a*sinh(x))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)) + x*log(I*cosh(x) + I*sinh(x) + 1) + x*log(-I*cosh(x) - I*sinh(x) + 1) + dilog(I*cosh(x) + I*sinh(x)) + dilog(-I*cosh(x) - I*sinh(x))","C",0
216,1,106,0,0.767607," ","integrate(log(a*sech(x)^2),x, algorithm=""fricas"")","-x^{2} + x \log\left(\frac{4 \, {\left(a \cosh\left(x\right) + a \sinh\left(x\right)\right)}}{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + {\left(3 \, \cosh\left(x\right)^{2} + 1\right)} \sinh\left(x\right) + 3 \, \cosh\left(x\right)}\right) + 2 \, x \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) + 2 \, x \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) + 2 \, {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) + 2 \, {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right)"," ",0,"-x^2 + x*log(4*(a*cosh(x) + a*sinh(x))/(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + (3*cosh(x)^2 + 1)*sinh(x) + 3*cosh(x))) + 2*x*log(I*cosh(x) + I*sinh(x) + 1) + 2*x*log(-I*cosh(x) - I*sinh(x) + 1) + 2*dilog(I*cosh(x) + I*sinh(x)) + 2*dilog(-I*cosh(x) - I*sinh(x))","C",0
217,1,92,0,0.796816," ","integrate(log(a*sech(x)^n),x, algorithm=""fricas"")","-\frac{1}{2} \, n x^{2} + n x \log\left(\frac{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1}\right) + n x \log\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right) + 1\right) + n x \log\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right) + 1\right) + n {\rm Li}_2\left(i \, \cosh\left(x\right) + i \, \sinh\left(x\right)\right) + n {\rm Li}_2\left(-i \, \cosh\left(x\right) - i \, \sinh\left(x\right)\right) + x \log\left(a\right)"," ",0,"-1/2*n*x^2 + n*x*log(2*(cosh(x) + sinh(x))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)) + n*x*log(I*cosh(x) + I*sinh(x) + 1) + n*x*log(-I*cosh(x) - I*sinh(x) + 1) + n*dilog(I*cosh(x) + I*sinh(x)) + n*dilog(-I*cosh(x) - I*sinh(x)) + x*log(a)","C",0
218,1,76,0,0.565819," ","integrate(log(a*csch(x)),x, algorithm=""fricas"")","-\frac{1}{2} \, x^{2} + x \log\left(\frac{2 \, {\left(a \cosh\left(x\right) + a \sinh\left(x\right)\right)}}{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1}\right) + x \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + x \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right)"," ",0,"-1/2*x^2 + x*log(2*(a*cosh(x) + a*sinh(x))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)) + x*log(cosh(x) + sinh(x) + 1) + x*log(-cosh(x) - sinh(x) + 1) + dilog(cosh(x) + sinh(x)) + dilog(-cosh(x) - sinh(x))","B",0
219,1,97,0,0.897114," ","integrate(log(a*csch(x)^2),x, algorithm=""fricas"")","-x^{2} + x \log\left(\frac{4 \, {\left(a \cosh\left(x\right) + a \sinh\left(x\right)\right)}}{\cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right) \sinh\left(x\right)^{2} + \sinh\left(x\right)^{3} + 3 \, {\left(\cosh\left(x\right)^{2} - 1\right)} \sinh\left(x\right) - \cosh\left(x\right)}\right) + 2 \, x \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 2 \, x \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + 2 \, {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + 2 \, {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right)"," ",0,"-x^2 + x*log(4*(a*cosh(x) + a*sinh(x))/(cosh(x)^3 + 3*cosh(x)*sinh(x)^2 + sinh(x)^3 + 3*(cosh(x)^2 - 1)*sinh(x) - cosh(x))) + 2*x*log(cosh(x) + sinh(x) + 1) + 2*x*log(-cosh(x) - sinh(x) + 1) + 2*dilog(cosh(x) + sinh(x)) + 2*dilog(-cosh(x) - sinh(x))","B",0
220,1,84,0,0.776923," ","integrate(log(a*csch(x)^n),x, algorithm=""fricas"")","-\frac{1}{2} \, n x^{2} + n x \log\left(\frac{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}{\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} - 1}\right) + n x \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + n x \log\left(-\cosh\left(x\right) - \sinh\left(x\right) + 1\right) + n {\rm Li}_2\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + n {\rm Li}_2\left(-\cosh\left(x\right) - \sinh\left(x\right)\right) + x \log\left(a\right)"," ",0,"-1/2*n*x^2 + n*x*log(2*(cosh(x) + sinh(x))/(cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 - 1)) + n*x*log(cosh(x) + sinh(x) + 1) + n*x*log(-cosh(x) - sinh(x) + 1) + n*dilog(cosh(x) + sinh(x)) + n*dilog(-cosh(x) - sinh(x)) + x*log(a)","B",0
221,1,258,0,0.953717," ","integrate(cosh(b*x+a)*log(cosh(1/2*a+1/2*b*x)*sinh(1/2*a+1/2*b*x)),x, algorithm=""fricas"")","-\frac{\cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + 4 \, \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{3} \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) + 6 \, \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + 4 \, \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{3} + \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} - {\left(\cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + 4 \, \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{3} \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) + 6 \, \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + 4 \, \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{3} + \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} - 1\right)} \log\left(\cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)\right) - 1}{2 \, {\left(b \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + 2 \, b \cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) + b \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2}\right)}}"," ",0,"-1/2*(cosh(1/2*b*x + 1/2*a)^4 + 4*cosh(1/2*b*x + 1/2*a)^3*sinh(1/2*b*x + 1/2*a) + 6*cosh(1/2*b*x + 1/2*a)^2*sinh(1/2*b*x + 1/2*a)^2 + 4*cosh(1/2*b*x + 1/2*a)*sinh(1/2*b*x + 1/2*a)^3 + sinh(1/2*b*x + 1/2*a)^4 - (cosh(1/2*b*x + 1/2*a)^4 + 4*cosh(1/2*b*x + 1/2*a)^3*sinh(1/2*b*x + 1/2*a) + 6*cosh(1/2*b*x + 1/2*a)^2*sinh(1/2*b*x + 1/2*a)^2 + 4*cosh(1/2*b*x + 1/2*a)*sinh(1/2*b*x + 1/2*a)^3 + sinh(1/2*b*x + 1/2*a)^4 - 1)*log(cosh(1/2*b*x + 1/2*a)*sinh(1/2*b*x + 1/2*a)) - 1)/(b*cosh(1/2*b*x + 1/2*a)^2 + 2*b*cosh(1/2*b*x + 1/2*a)*sinh(1/2*b*x + 1/2*a) + b*sinh(1/2*b*x + 1/2*a)^2)","B",0
222,1,62,0,0.851744," ","integrate(log(cosh(x)^2)*sinh(x),x, algorithm=""fricas"")","-\frac{2 \, \cosh\left(x\right)^{2} - {\left(\cosh\left(x\right)^{2} + 2 \, \cosh\left(x\right) \sinh\left(x\right) + \sinh\left(x\right)^{2} + 1\right)} \log\left(\frac{1}{2} \, \cosh\left(x\right)^{2} + \frac{1}{2} \, \sinh\left(x\right)^{2} + \frac{1}{2}\right) + 4 \, \cosh\left(x\right) \sinh\left(x\right) + 2 \, \sinh\left(x\right)^{2} + 2}{2 \, {\left(\cosh\left(x\right) + \sinh\left(x\right)\right)}}"," ",0,"-1/2*(2*cosh(x)^2 - (cosh(x)^2 + 2*cosh(x)*sinh(x) + sinh(x)^2 + 1)*log(1/2*cosh(x)^2 + 1/2*sinh(x)^2 + 1/2) + 4*cosh(x)*sinh(x) + 2*sinh(x)^2 + 2)/(cosh(x) + sinh(x))","B",0
223,1,9,0,0.828028," ","integrate(log(x)/x^(1/2),x, algorithm=""fricas"")","2 \, \sqrt{x} {\left(\log\left(x\right) - 2\right)}"," ",0,"2*sqrt(x)*(log(x) - 2)","A",0
224,1,23,0,0.677034," ","integrate(x*log(-3*x^2+2),x, algorithm=""fricas"")","-\frac{1}{2} \, x^{2} + \frac{1}{6} \, {\left(3 \, x^{2} - 2\right)} \log\left(-3 \, x^{2} + 2\right)"," ",0,"-1/2*x^2 + 1/6*(3*x^2 - 2)*log(-3*x^2 + 2)","A",0
225,1,20,0,0.841319," ","integrate(1/x/(1-log(x)^2)^(1/2),x, algorithm=""fricas"")","-2 \, \arctan\left(\frac{\sqrt{-\log\left(x\right)^{2} + 1} - 1}{\log\left(x\right)}\right)"," ",0,"-2*arctan((sqrt(-log(x)^2 + 1) - 1)/log(x))","B",0
226,1,22,0,0.868249," ","integrate(16*x^3*log(x)^2,x, algorithm=""fricas"")","4 \, x^{4} \log\left(x\right)^{2} - 2 \, x^{4} \log\left(x\right) + \frac{1}{2} \, x^{4}"," ",0,"4*x^4*log(x)^2 - 2*x^4*log(x) + 1/2*x^4","A",0
227,1,22,0,0.888635," ","integrate(1/2*log(b*x+a),x, algorithm=""fricas"")","-\frac{b x - {\left(b x + a\right)} \log\left(b x + a\right)}{2 \, b}"," ",0,"-1/2*(b*x - (b*x + a)*log(b*x + a))/b","A",0
228,1,20,0,0.675466," ","integrate(1/2*x*log(2+x),x, algorithm=""fricas"")","-\frac{1}{8} \, x^{2} + \frac{1}{4} \, {\left(x^{2} - 4\right)} \log\left(x + 2\right) + \frac{1}{2} \, x"," ",0,"-1/8*x^2 + 1/4*(x^2 - 4)*log(x + 2) + 1/2*x","A",0
229,1,24,0,0.684945," ","integrate(1/3*x*log(1+3*x),x, algorithm=""fricas"")","-\frac{1}{12} \, x^{2} + \frac{1}{54} \, {\left(9 \, x^{2} - 1\right)} \log\left(3 \, x + 1\right) + \frac{1}{18} \, x"," ",0,"-1/12*x^2 + 1/54*(9*x^2 - 1)*log(3*x + 1) + 1/18*x","A",0
230,1,25,0,0.901250," ","integrate(x*log(x^3+x),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} \log\left(x^{3} + x\right) - \frac{3}{4} \, x^{2} + \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"1/2*x^2*log(x^3 + x) - 3/4*x^2 + 1/2*log(x^2 + 1)","A",0
231,1,22,0,0.804886," ","integrate(log(x+(x^2+1)^(1/2)),x, algorithm=""fricas"")","x \log\left(x + \sqrt{x^{2} + 1}\right) - \sqrt{x^{2} + 1}"," ",0,"x*log(x + sqrt(x^2 + 1)) - sqrt(x^2 + 1)","A",0
232,1,22,0,0.900248," ","integrate(log(x+(x^2-1)^(1/2)),x, algorithm=""fricas"")","x \log\left(x + \sqrt{x^{2} - 1}\right) - \sqrt{x^{2} - 1}"," ",0,"x*log(x + sqrt(x^2 - 1)) - sqrt(x^2 - 1)","A",0
233,1,22,0,0.838600," ","integrate(log(x-(x^2-1)^(1/2)),x, algorithm=""fricas"")","x \log\left(x - \sqrt{x^{2} - 1}\right) + \sqrt{x^{2} - 1}"," ",0,"x*log(x - sqrt(x^2 - 1)) + sqrt(x^2 - 1)","A",0
234,1,28,0,0.602681," ","integrate(log(x^(1/2)+(1+x)^(1/2)),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(2 \, x + 1\right)} \log\left(\sqrt{x + 1} + \sqrt{x}\right) - \frac{1}{2} \, \sqrt{x + 1} \sqrt{x}"," ",0,"1/2*(2*x + 1)*log(sqrt(x + 1) + sqrt(x)) - 1/2*sqrt(x + 1)*sqrt(x)","A",0
235,1,14,0,0.933172," ","integrate(x^(1/3)*log(x),x, algorithm=""fricas"")","\frac{3}{16} \, {\left(4 \, x \log\left(x\right) - 3 \, x\right)} x^{\frac{1}{3}}"," ",0,"3/16*(4*x*log(x) - 3*x)*x^(1/3)","A",0
236,1,14,0,0.671532," ","integrate(2^log(x),x, algorithm=""fricas"")","\frac{x e^{\left(\log\left(2\right) \log\left(x\right)\right)}}{\log\left(2\right) + 1}"," ",0,"x*e^(log(2)*log(x))/(log(2) + 1)","A",0
237,1,6,0,0.873035," ","integrate((1-log(x))/x^2,x, algorithm=""fricas"")","\frac{\log\left(x\right)}{x}"," ",0,"log(x)/x","A",0
238,1,38,0,0.663960," ","integrate(log(1+x+(1+x)^(1/2)),x, algorithm=""fricas"")","{\left(x - 1\right)} \log\left(x + \sqrt{x + 1} + 1\right) - x + \sqrt{x + 1} + \log\left(\sqrt{x + 1} + 1\right) + 2 \, \log\left(\sqrt{x + 1}\right)"," ",0,"(x - 1)*log(x + sqrt(x + 1) + 1) - x + sqrt(x + 1) + log(sqrt(x + 1) + 1) + 2*log(sqrt(x + 1))","A",0
239,1,16,0,0.719807," ","integrate(log(x^3+x),x, algorithm=""fricas"")","x \log\left(x^{3} + x\right) - 3 \, x + 2 \, \arctan\left(x\right)"," ",0,"x*log(x^3 + x) - 3*x + 2*arctan(x)","A",0
240,1,23,0,1.052300," ","integrate(2^log(-8+7*x),x, algorithm=""fricas"")","\frac{{\left(7 \, x - 8\right)} e^{\left(\log\left(2\right) \log\left(7 \, x - 8\right)\right)}}{7 \, {\left(\log\left(2\right) + 1\right)}}"," ",0,"1/7*(7*x - 8)*e^(log(2)*log(7*x - 8))/(log(2) + 1)","A",0
241,1,33,0,0.790802," ","integrate(log((-11+5*x)/(5+76*x)),x, algorithm=""fricas"")","x \log\left(\frac{5 \, x - 11}{76 \, x + 5}\right) - \frac{5}{76} \, \log\left(76 \, x + 5\right) - \frac{11}{5} \, \log\left(5 \, x - 11\right)"," ",0,"x*log((5*x - 11)/(76*x + 5)) - 5/76*log(76*x + 5) - 11/5*log(5*x - 11)","A",0
242,1,12,0,1.063153," ","integrate(log(1/(13+x)),x, algorithm=""fricas"")","{\left(x + 13\right)} \log\left(\frac{1}{x + 13}\right) + x"," ",0,"(x + 13)*log(1/(x + 13)) + x","A",0
243,1,28,0,0.821723," ","integrate(x*log((1+x)/x^2),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} \log\left(\frac{x + 1}{x^{2}}\right) + \frac{1}{4} \, x^{2} + \frac{1}{2} \, x - \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"1/2*x^2*log((x + 1)/x^2) + 1/4*x^2 + 1/2*x - 1/2*log(x + 1)","A",0
244,1,42,0,1.049744," ","integrate(x^3*log((7+5*x)/x^2),x, algorithm=""fricas"")","\frac{1}{4} \, x^{4} \log\left(\frac{5 \, x + 7}{x^{2}}\right) + \frac{1}{16} \, x^{4} + \frac{7}{60} \, x^{3} - \frac{49}{200} \, x^{2} + \frac{343}{500} \, x - \frac{2401}{2500} \, \log\left(5 \, x + 7\right)"," ",0,"1/4*x^4*log((5*x + 7)/x^2) + 1/16*x^4 + 7/60*x^3 - 49/200*x^2 + 343/500*x - 2401/2500*log(5*x + 7)","A",0
245,1,42,0,1.085540," ","integrate((b*x+a)*log(b*x+a),x, algorithm=""fricas"")","-\frac{b^{2} x^{2} + 2 \, a b x - 2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \log\left(b x + a\right)}{4 \, b}"," ",0,"-1/4*(b^2*x^2 + 2*a*b*x - 2*(b^2*x^2 + 2*a*b*x + a^2)*log(b*x + a))/b","A",0
246,1,64,0,1.014082," ","integrate((b*x+a)^2*log(b*x+a),x, algorithm=""fricas"")","-\frac{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x - 3 \, {\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)} \log\left(b x + a\right)}{9 \, b}"," ",0,"-1/9*(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x - 3*(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)*log(b*x + a))/b","B",0
247,1,13,0,0.999731," ","integrate(log(b*x+a)/(b*x+a),x, algorithm=""fricas"")","\frac{\log\left(b x + a\right)^{2}}{2 \, b}"," ",0,"1/2*log(b*x + a)^2/b","A",0
248,1,21,0,1.148837," ","integrate(log(b*x+a)/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{\log\left(b x + a\right) + 1}{b^{2} x + a b}"," ",0,"-(log(b*x + a) + 1)/(b^2*x + a*b)","A",0
249,1,47,0,1.056953," ","integrate((b*x+a)^n*log(b*x+a),x, algorithm=""fricas"")","-\frac{{\left(b x - {\left(a n + {\left(b n + b\right)} x + a\right)} \log\left(b x + a\right) + a\right)} {\left(b x + a\right)}^{n}}{b n^{2} + 2 \, b n + b}"," ",0,"-(b*x - (a*n + (b*n + b)*x + a)*log(b*x + a) + a)*(b*x + a)^n/(b*n^2 + 2*b*n + b)","A",0
250,1,19,0,0.911845," ","integrate(1/(a*x+b*x*log(c*x^n)),x, algorithm=""fricas"")","\frac{\log\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{b n}"," ",0,"log(b*n*log(x) + b*log(c) + a)/(b*n)","A",0
251,1,121,0,0.864666," ","integrate(1/(a*x+b*x*log(c*x^n)^2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a b} \log\left(\frac{b n^{2} \log\left(x\right)^{2} + 2 \, b n \log\left(c\right) \log\left(x\right) + b \log\left(c\right)^{2} - 2 \, \sqrt{-a b} {\left(n \log\left(x\right) + \log\left(c\right)\right)} - a}{b n^{2} \log\left(x\right)^{2} + 2 \, b n \log\left(c\right) \log\left(x\right) + b \log\left(c\right)^{2} + a}\right)}{2 \, a b n}, \frac{\sqrt{a b} \arctan\left(\frac{\sqrt{a b} {\left(n \log\left(x\right) + \log\left(c\right)\right)}}{a}\right)}{a b n}\right]"," ",0,"[-1/2*sqrt(-a*b)*log((b*n^2*log(x)^2 + 2*b*n*log(c)*log(x) + b*log(c)^2 - 2*sqrt(-a*b)*(n*log(x) + log(c)) - a)/(b*n^2*log(x)^2 + 2*b*n*log(c)*log(x) + b*log(c)^2 + a))/(a*b*n), sqrt(a*b)*arctan(sqrt(a*b)*(n*log(x) + log(c))/a)/(a*b*n)]","A",0
252,1,480,0,1.084367," ","integrate(1/(a*x+b*x*log(c*x^n)^3),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} a b \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \log\left(\frac{2 \, a b n^{3} \log\left(x\right)^{3} + 6 \, a b n^{2} \log\left(c\right) \log\left(x\right)^{2} + 6 \, a b n \log\left(c\right)^{2} \log\left(x\right) + 2 \, a b \log\left(c\right)^{3} - a^{2} + 3 \, \sqrt{\frac{1}{3}} {\left(2 \, a b n^{2} \log\left(x\right)^{2} + 4 \, a b n \log\left(c\right) \log\left(x\right) + 2 \, a b \log\left(c\right)^{2} + \left(a^{2} b\right)^{\frac{2}{3}} {\left(n \log\left(x\right) + \log\left(c\right)\right)} - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{-\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} - 3 \, \left(a^{2} b\right)^{\frac{1}{3}} {\left(a n \log\left(x\right) + a \log\left(c\right)\right)}}{b n^{3} \log\left(x\right)^{3} + 3 \, b n^{2} \log\left(c\right) \log\left(x\right)^{2} + 3 \, b n \log\left(c\right)^{2} \log\left(x\right) + b \log\left(c\right)^{3} + a}\right) - \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b n^{2} \log\left(x\right)^{2} + 2 \, a b n \log\left(c\right) \log\left(x\right) + a b \log\left(c\right)^{2} - \left(a^{2} b\right)^{\frac{2}{3}} {\left(n \log\left(x\right) + \log\left(c\right)\right)} + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 2 \, \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b n \log\left(x\right) + a b \log\left(c\right) + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{6 \, a^{2} b n}, \frac{6 \, \sqrt{\frac{1}{3}} a b \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}} \arctan\left(\frac{\sqrt{\frac{1}{3}} {\left(2 \, \left(a^{2} b\right)^{\frac{2}{3}} {\left(n \log\left(x\right) + \log\left(c\right)\right)} - \left(a^{2} b\right)^{\frac{1}{3}} a\right)} \sqrt{\frac{\left(a^{2} b\right)^{\frac{1}{3}}}{b}}}{a^{2}}\right) - \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b n^{2} \log\left(x\right)^{2} + 2 \, a b n \log\left(c\right) \log\left(x\right) + a b \log\left(c\right)^{2} - \left(a^{2} b\right)^{\frac{2}{3}} {\left(n \log\left(x\right) + \log\left(c\right)\right)} + \left(a^{2} b\right)^{\frac{1}{3}} a\right) + 2 \, \left(a^{2} b\right)^{\frac{2}{3}} \log\left(a b n \log\left(x\right) + a b \log\left(c\right) + \left(a^{2} b\right)^{\frac{2}{3}}\right)}{6 \, a^{2} b n}\right]"," ",0,"[1/6*(3*sqrt(1/3)*a*b*sqrt(-(a^2*b)^(1/3)/b)*log((2*a*b*n^3*log(x)^3 + 6*a*b*n^2*log(c)*log(x)^2 + 6*a*b*n*log(c)^2*log(x) + 2*a*b*log(c)^3 - a^2 + 3*sqrt(1/3)*(2*a*b*n^2*log(x)^2 + 4*a*b*n*log(c)*log(x) + 2*a*b*log(c)^2 + (a^2*b)^(2/3)*(n*log(x) + log(c)) - (a^2*b)^(1/3)*a)*sqrt(-(a^2*b)^(1/3)/b) - 3*(a^2*b)^(1/3)*(a*n*log(x) + a*log(c)))/(b*n^3*log(x)^3 + 3*b*n^2*log(c)*log(x)^2 + 3*b*n*log(c)^2*log(x) + b*log(c)^3 + a)) - (a^2*b)^(2/3)*log(a*b*n^2*log(x)^2 + 2*a*b*n*log(c)*log(x) + a*b*log(c)^2 - (a^2*b)^(2/3)*(n*log(x) + log(c)) + (a^2*b)^(1/3)*a) + 2*(a^2*b)^(2/3)*log(a*b*n*log(x) + a*b*log(c) + (a^2*b)^(2/3)))/(a^2*b*n), 1/6*(6*sqrt(1/3)*a*b*sqrt((a^2*b)^(1/3)/b)*arctan(sqrt(1/3)*(2*(a^2*b)^(2/3)*(n*log(x) + log(c)) - (a^2*b)^(1/3)*a)*sqrt((a^2*b)^(1/3)/b)/a^2) - (a^2*b)^(2/3)*log(a*b*n^2*log(x)^2 + 2*a*b*n*log(c)*log(x) + a*b*log(c)^2 - (a^2*b)^(2/3)*(n*log(x) + log(c)) + (a^2*b)^(1/3)*a) + 2*(a^2*b)^(2/3)*log(a*b*n*log(x) + a*b*log(c) + (a^2*b)^(2/3)))/(a^2*b*n)]","A",0
253,1,195,0,0.940020," ","integrate(1/(a*x+b*x*log(c*x^n)^4),x, algorithm=""fricas"")","\left(-\frac{1}{a^{3} b n^{4}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{a^{2} n^{2} \sqrt{-\frac{1}{a^{3} b n^{4}}} + n^{2} \log\left(x\right)^{2} + 2 \, n \log\left(c\right) \log\left(x\right) + \log\left(c\right)^{2}} a^{2} b n^{3} \left(-\frac{1}{a^{3} b n^{4}}\right)^{\frac{3}{4}} - {\left(a^{2} b n^{4} \log\left(x\right) + a^{2} b n^{3} \log\left(c\right)\right)} \left(-\frac{1}{a^{3} b n^{4}}\right)^{\frac{3}{4}}\right) + \frac{1}{4} \, \left(-\frac{1}{a^{3} b n^{4}}\right)^{\frac{1}{4}} \log\left(a n \left(-\frac{1}{a^{3} b n^{4}}\right)^{\frac{1}{4}} + n \log\left(x\right) + \log\left(c\right)\right) - \frac{1}{4} \, \left(-\frac{1}{a^{3} b n^{4}}\right)^{\frac{1}{4}} \log\left(-a n \left(-\frac{1}{a^{3} b n^{4}}\right)^{\frac{1}{4}} + n \log\left(x\right) + \log\left(c\right)\right)"," ",0,"(-1/(a^3*b*n^4))^(1/4)*arctan(sqrt(a^2*n^2*sqrt(-1/(a^3*b*n^4)) + n^2*log(x)^2 + 2*n*log(c)*log(x) + log(c)^2)*a^2*b*n^3*(-1/(a^3*b*n^4))^(3/4) - (a^2*b*n^4*log(x) + a^2*b*n^3*log(c))*(-1/(a^3*b*n^4))^(3/4)) + 1/4*(-1/(a^3*b*n^4))^(1/4)*log(a*n*(-1/(a^3*b*n^4))^(1/4) + n*log(x) + log(c)) - 1/4*(-1/(a^3*b*n^4))^(1/4)*log(-a*n*(-1/(a^3*b*n^4))^(1/4) + n*log(x) + log(c))","A",0
254,1,28,0,1.042690," ","integrate(1/(a*x+b*x/log(c*x^n)),x, algorithm=""fricas"")","\frac{a n \log\left(x\right) - b \log\left(a n \log\left(x\right) + a \log\left(c\right) + b\right)}{a^{2} n}"," ",0,"(a*n*log(x) - b*log(a*n*log(x) + a*log(c) + b))/(a^2*n)","A",0
255,1,143,0,1.089521," ","integrate(1/(a*x+b*x/log(c*x^n)^2),x, algorithm=""fricas"")","\left[\frac{2 \, n \log\left(x\right) + \sqrt{-\frac{b}{a}} \log\left(\frac{a n^{2} \log\left(x\right)^{2} + 2 \, a n \log\left(c\right) \log\left(x\right) + a \log\left(c\right)^{2} - 2 \, {\left(a n \log\left(x\right) + a \log\left(c\right)\right)} \sqrt{-\frac{b}{a}} - b}{a n^{2} \log\left(x\right)^{2} + 2 \, a n \log\left(c\right) \log\left(x\right) + a \log\left(c\right)^{2} + b}\right)}{2 \, a n}, \frac{n \log\left(x\right) - \sqrt{\frac{b}{a}} \arctan\left(\frac{{\left(a n \log\left(x\right) + a \log\left(c\right)\right)} \sqrt{\frac{b}{a}}}{b}\right)}{a n}\right]"," ",0,"[1/2*(2*n*log(x) + sqrt(-b/a)*log((a*n^2*log(x)^2 + 2*a*n*log(c)*log(x) + a*log(c)^2 - 2*(a*n*log(x) + a*log(c))*sqrt(-b/a) - b)/(a*n^2*log(x)^2 + 2*a*n*log(c)*log(x) + a*log(c)^2 + b)))/(a*n), (n*log(x) - sqrt(b/a)*arctan((a*n*log(x) + a*log(c))*sqrt(b/a)/b))/(a*n)]","A",0
256,1,149,0,1.153916," ","integrate(1/(a*x+b*x/log(c*x^n)^3),x, algorithm=""fricas"")","\frac{6 \, n \log\left(x\right) + 2 \, \sqrt{3} \left(-\frac{b}{a}\right)^{\frac{1}{3}} \arctan\left(\frac{2 \, {\left(\sqrt{3} a n \log\left(x\right) + \sqrt{3} a \log\left(c\right)\right)} \left(-\frac{b}{a}\right)^{\frac{2}{3}} - \sqrt{3} b}{3 \, b}\right) - \left(-\frac{b}{a}\right)^{\frac{1}{3}} \log\left(n^{2} \log\left(x\right)^{2} + 2 \, n \log\left(c\right) \log\left(x\right) + \log\left(c\right)^{2} + {\left(n \log\left(x\right) + \log\left(c\right)\right)} \left(-\frac{b}{a}\right)^{\frac{1}{3}} + \left(-\frac{b}{a}\right)^{\frac{2}{3}}\right) + 2 \, \left(-\frac{b}{a}\right)^{\frac{1}{3}} \log\left(n \log\left(x\right) - \left(-\frac{b}{a}\right)^{\frac{1}{3}} + \log\left(c\right)\right)}{6 \, a n}"," ",0,"1/6*(6*n*log(x) + 2*sqrt(3)*(-b/a)^(1/3)*arctan(1/3*(2*(sqrt(3)*a*n*log(x) + sqrt(3)*a*log(c))*(-b/a)^(2/3) - sqrt(3)*b)/b) - (-b/a)^(1/3)*log(n^2*log(x)^2 + 2*n*log(c)*log(x) + log(c)^2 + (n*log(x) + log(c))*(-b/a)^(1/3) + (-b/a)^(2/3)) + 2*(-b/a)^(1/3)*log(n*log(x) - (-b/a)^(1/3) + log(c)))/(a*n)","A",0
257,1,192,0,1.144070," ","integrate(1/(a*x+b*x/log(c*x^n)^4),x, algorithm=""fricas"")","-\frac{4 \, a \left(-\frac{b}{a^{5} n^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{a^{2} n^{2} \sqrt{-\frac{b}{a^{5} n^{4}}} + n^{2} \log\left(x\right)^{2} + 2 \, n \log\left(c\right) \log\left(x\right) + \log\left(c\right)^{2}} a^{4} n^{3} \left(-\frac{b}{a^{5} n^{4}}\right)^{\frac{3}{4}} - {\left(a^{4} n^{4} \log\left(x\right) + a^{4} n^{3} \log\left(c\right)\right)} \left(-\frac{b}{a^{5} n^{4}}\right)^{\frac{3}{4}}}{b}\right) + a \left(-\frac{b}{a^{5} n^{4}}\right)^{\frac{1}{4}} \log\left(a n \left(-\frac{b}{a^{5} n^{4}}\right)^{\frac{1}{4}} + n \log\left(x\right) + \log\left(c\right)\right) - a \left(-\frac{b}{a^{5} n^{4}}\right)^{\frac{1}{4}} \log\left(-a n \left(-\frac{b}{a^{5} n^{4}}\right)^{\frac{1}{4}} + n \log\left(x\right) + \log\left(c\right)\right) - 4 \, \log\left(x\right)}{4 \, a}"," ",0,"-1/4*(4*a*(-b/(a^5*n^4))^(1/4)*arctan((sqrt(a^2*n^2*sqrt(-b/(a^5*n^4)) + n^2*log(x)^2 + 2*n*log(c)*log(x) + log(c)^2)*a^4*n^3*(-b/(a^5*n^4))^(3/4) - (a^4*n^4*log(x) + a^4*n^3*log(c))*(-b/(a^5*n^4))^(3/4))/b) + a*(-b/(a^5*n^4))^(1/4)*log(a*n*(-b/(a^5*n^4))^(1/4) + n*log(x) + log(c)) - a*(-b/(a^5*n^4))^(1/4)*log(-a*n*(-b/(a^5*n^4))^(1/4) + n*log(x) + log(c)) - 4*log(x))/a","A",0
258,1,21,0,0.901776," ","integrate(1/(x+x*log(7*x)+x*log(7*x)^2),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} \log\left(7 \, x\right) + \frac{1}{3} \, \sqrt{3}\right)"," ",0,"2/3*sqrt(3)*arctan(2/3*sqrt(3)*log(7*x) + 1/3*sqrt(3))","A",0
259,1,39,0,0.740714," ","integrate((-1+log(3*x))/x/(1-log(3*x)+log(3*x)^2),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} \log\left(3 \, x\right) - \frac{1}{3} \, \sqrt{3}\right) + \frac{1}{2} \, \log\left(\log\left(3 \, x\right)^{2} - \log\left(3 \, x\right) + 1\right)"," ",0,"-1/3*sqrt(3)*arctan(2/3*sqrt(3)*log(3*x) - 1/3*sqrt(3)) + 1/2*log(log(3*x)^2 - log(3*x) + 1)","A",0
260,1,39,0,0.639207," ","integrate((-1+log(3*x)^2)/(x+x*log(3*x)^3),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} \log\left(3 \, x\right) - \frac{1}{3} \, \sqrt{3}\right) + \frac{1}{2} \, \log\left(\log\left(3 \, x\right)^{2} - \log\left(3 \, x\right) + 1\right)"," ",0,"-1/3*sqrt(3)*arctan(2/3*sqrt(3)*log(3*x) - 1/3*sqrt(3)) + 1/2*log(log(3*x)^2 - log(3*x) + 1)","A",0
261,1,41,0,1.127145," ","integrate((-1+log(3*x)^2)/(x+x*log(3*x)+x*log(3*x)^2),x, algorithm=""fricas"")","-\sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} \log\left(3 \, x\right) + \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{2} \, \log\left(\log\left(3 \, x\right)^{2} + \log\left(3 \, x\right) + 1\right) + \log\left(3 \, x\right)"," ",0,"-sqrt(3)*arctan(2/3*sqrt(3)*log(3*x) + 1/3*sqrt(3)) - 1/2*log(log(3*x)^2 + log(3*x) + 1) + log(3*x)","A",0
262,1,21,0,1.009048," ","integrate(log(1/x)^2/x^5,x, algorithm=""fricas"")","-\frac{8 \, \log\left(\frac{1}{x}\right)^{2} - 4 \, \log\left(\frac{1}{x}\right) + 1}{32 \, x^{4}}"," ",0,"-1/32*(8*log(1/x)^2 - 4*log(1/x) + 1)/x^4","A",0
263,-2,0,0,0.000000," ","integrate(1/(-log(a*x^2))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
264,-2,0,0,0.000000," ","integrate(1/(-log(a/x^2))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
265,-2,0,0,0.000000," ","integrate(1/(-log(a*x^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
266,0,0,0,0.963183," ","integrate(log(1-x+x^(1/2))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(-x + \sqrt{x} + 1\right)}{x}, x\right)"," ",0,"integral(log(-x + sqrt(x) + 1)/x, x)","F",0
267,0,0,0,1.032055," ","integrate(x*log(d*x+c)/(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x \log\left(d x + c\right)}{b x + a}, x\right)"," ",0,"integral(x*log(d*x + c)/(b*x + a), x)","F",0
268,1,8,0,0.999804," ","integrate(log(x)/(-1+x),x, algorithm=""fricas"")","-{\rm Li}_2\left(-x + 1\right)"," ",0,"-dilog(-x + 1)","A",0
269,0,0,0,0.985864," ","integrate(x*log(-b*x-a+1)/(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x \log\left(-b x - a + 1\right)}{b x + a}, x\right)"," ",0,"integral(x*log(-b*x - a + 1)/(b*x + a), x)","F",0
270,0,0,0,0.881443," ","integrate((2*c*x+b)*log(x)/x/(c*x+b),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(2 \, c x + b\right)} \log\left(x\right)}{c x^{2} + b x}, x\right)"," ",0,"integral((2*c*x + b)*log(x)/(c*x^2 + b*x), x)","F",0
271,1,7,0,1.002211," ","integrate(sin(x*log(x))+log(x)*sin(x*log(x)),x, algorithm=""fricas"")","-\cos\left(x \log\left(x\right)\right)"," ",0,"-cos(x*log(x))","A",0
272,1,58,0,1.113652," ","integrate(log((1-(-1+x)^2)/(1+(-1+x)^2))/x^2,x, algorithm=""fricas"")","-\frac{2 \, x \arctan\left(x - 1\right) + x \log\left(x^{2} - 2 \, x + 2\right) - x \log\left(x^{2} - 2 \, x\right) + 2 \, \log\left(-\frac{x^{2} - 2 \, x}{x^{2} - 2 \, x + 2}\right) + 2}{2 \, x}"," ",0,"-1/2*(2*x*arctan(x - 1) + x*log(x^2 - 2*x + 2) - x*log(x^2 - 2*x) + 2*log(-(x^2 - 2*x)/(x^2 - 2*x + 2)) + 2)/x","A",0
273,1,31,0,1.148047," ","integrate(log(x+x^(1/2)),x, algorithm=""fricas"")","{\left(x + 1\right)} \log\left(x + \sqrt{x}\right) - x + \sqrt{x} - 2 \, \log\left(\sqrt{x} + 1\right) - \log\left(\sqrt{x}\right)"," ",0,"(x + 1)*log(x + sqrt(x)) - x + sqrt(x) - 2*log(sqrt(x) + 1) - log(sqrt(x))","A",0
274,1,18,0,0.642564," ","integrate(log(-x/(1+x)),x, algorithm=""fricas"")","x \log\left(-\frac{x}{x + 1}\right) - \log\left(x + 1\right)"," ",0,"x*log(-x/(x + 1)) - log(x + 1)","A",0
275,1,21,0,1.265892," ","integrate(log((-1+x)/(1+x)),x, algorithm=""fricas"")","x \log\left(\frac{x - 1}{x + 1}\right) - \log\left(x^{2} - 1\right)"," ",0,"x*log((x - 1)/(x + 1)) - log(x^2 - 1)","A",0
276,1,54,0,1.029232," ","integrate(log((-x^2+1)/(x^2+1))/(1+x)^2,x, algorithm=""fricas"")","-\frac{2 \, {\left(x + 1\right)} \arctan\left(x\right) + {\left(x + 1\right)} \log\left(x^{2} + 1\right) - {\left(x + 1\right)} \log\left(x^{2} - 1\right) + 2 \, \log\left(-\frac{x^{2} - 1}{x^{2} + 1}\right) + 2}{2 \, {\left(x + 1\right)}}"," ",0,"-1/2*(2*(x + 1)*arctan(x) + (x + 1)*log(x^2 + 1) - (x + 1)*log(x^2 - 1) + 2*log(-(x^2 - 1)/(x^2 + 1)) + 2)/(x + 1)","A",0
277,0,0,0,1.061953," ","integrate(log(c*(x^2+1)^n)/(x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(x^{2} + 1\right)}^{n} c\right)}{x^{2} + 1}, x\right)"," ",0,"integral(log((x^2 + 1)^n*c)/(x^2 + 1), x)","F",0
278,0,0,0,0.960411," ","integrate(log(x^2/(x^2+1))/(x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(\frac{x^{2}}{x^{2} + 1}\right)}{x^{2} + 1}, x\right)"," ",0,"integral(log(x^2/(x^2 + 1))/(x^2 + 1), x)","F",0
279,0,0,0,1.074075," ","integrate(log(c*x^2/(b*x^2+a))/(b*x^2+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(\frac{c x^{2}}{b x^{2} + a}\right)}{b x^{2} + a}, x\right)"," ",0,"integral(log(c*x^2/(b*x^2 + a))/(b*x^2 + a), x)","F",0
280,1,37,0,1.148217," ","integrate(log(1+I*(-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-\frac{a x - \sqrt{a x + 1} \sqrt{a x - 1} + 1}{a x + 1} + 1\right)}{a}"," ",0,"dilog(-(a*x - sqrt(a*x + 1)*sqrt(a*x - 1) + 1)/(a*x + 1) + 1)/a","A",0
281,1,36,0,1.108525," ","integrate(log(1-I*(-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-\frac{a x + \sqrt{a x + 1} \sqrt{a x - 1} + 1}{a x + 1} + 1\right)}{a}"," ",0,"dilog(-(a*x + sqrt(a*x + 1)*sqrt(a*x - 1) + 1)/(a*x + 1) + 1)/a","A",0
282,1,10,0,0.878327," ","integrate(log(exp(b*x+a)),x, algorithm=""fricas"")","\frac{1}{2} \, b x^{2} + a x"," ",0,"1/2*b*x^2 + a*x","A",0
283,1,20,0,0.959210," ","integrate(log(exp(a+b*x^n)),x, algorithm=""fricas"")","\frac{b x x^{n} + {\left(a n + a\right)} x}{n + 1}"," ",0,"(b*x*x^n + (a*n + a)*x)/(n + 1)","A",0
284,1,25,0,0.934819," ","integrate(exp(x)*log(a+b*exp(x)),x, algorithm=""fricas"")","-\frac{b e^{x} - {\left(b e^{x} + a\right)} \log\left(b e^{x} + a\right)}{b}"," ",0,"-(b*e^x - (b*e^x + a)*log(b*e^x + a))/b","A",0
285,1,23,0,1.015819," ","integrate(exp(b*x+a)*log(x),x, algorithm=""fricas"")","-\frac{{\rm Ei}\left(b x\right) e^{a} - e^{\left(b x + a\right)} \log\left(x\right)}{b}"," ",0,"-(Ei(b*x)*e^a - e^(b*x + a)*log(x))/b","A",0
286,0,0,0,0.930190," ","integrate(x^2/(x+log(x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{x + \log\left(x\right)}, x\right)"," ",0,"integral(x^2/(x + log(x)), x)","F",0
287,0,0,0,1.085359," ","integrate(x/(x+log(x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{x + \log\left(x\right)}, x\right)"," ",0,"integral(x/(x + log(x)), x)","F",0
288,0,0,0,0.895260," ","integrate(1/(x+log(x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x + \log\left(x\right)}, x\right)"," ",0,"integral(1/(x + log(x)), x)","F",0
289,0,0,0,0.914845," ","integrate(1/x/(x+log(x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x^{2} + x \log\left(x\right)}, x\right)"," ",0,"integral(1/(x^2 + x*log(x)), x)","F",0
290,0,0,0,1.093350," ","integrate(1/x^2/(x+log(x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x^{3} + x^{2} \log\left(x\right)}, x\right)"," ",0,"integral(1/(x^3 + x^2*log(x)), x)","F",0
291,1,11,0,1.010557," ","integrate(log(x)/(x+4*x*log(x)^2),x, algorithm=""fricas"")","\frac{1}{8} \, \log\left(4 \, \log\left(x\right)^{2} + 1\right)"," ",0,"1/8*log(4*log(x)^2 + 1)","A",0
292,1,10,0,0.797996," ","integrate((1-log(x))/x/(x+log(x)),x, algorithm=""fricas"")","\log\left(x + \log\left(x\right)\right) - \log\left(x\right)"," ",0,"log(x + log(x)) - log(x)","A",0
293,1,13,0,0.772923," ","integrate((1+x)/log(x)/(x+log(x)),x, algorithm=""fricas"")","-\log\left(x + \log\left(x\right)\right) + \log\left(\log\left(x\right)\right) + \operatorname{log\_integral}\left(x\right)"," ",0,"-log(x + log(x)) + log(log(x)) + log_integral(x)","A",0
294,1,48,0,1.422364," ","integrate(log(2+((1+x)/x)^(1/2)),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(3 \, x - 1\right)} \log\left(\sqrt{\frac{x + 1}{x}} + 2\right) + \frac{1}{2} \, \log\left(\sqrt{\frac{x + 1}{x}} + 1\right) - \frac{1}{6} \, \log\left(\sqrt{\frac{x + 1}{x}} - 1\right)"," ",0,"1/3*(3*x - 1)*log(sqrt((x + 1)/x) + 2) + 1/2*log(sqrt((x + 1)/x) + 1) - 1/6*log(sqrt((x + 1)/x) - 1)","A",0
295,1,49,0,0.861082," ","integrate(log(1+((1+x)/x)^(1/2)),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(4 \, x + 1\right)} \log\left(\sqrt{\frac{x + 1}{x}} + 1\right) - \frac{1}{2} \, x \sqrt{\frac{x + 1}{x}} + \frac{1}{2} \, x - \frac{1}{4} \, \log\left(\sqrt{\frac{x + 1}{x}} - 1\right)"," ",0,"1/4*(4*x + 1)*log(sqrt((x + 1)/x) + 1) - 1/2*x*sqrt((x + 1)/x) + 1/2*x - 1/4*log(sqrt((x + 1)/x) - 1)","A",0
296,1,18,0,1.154488," ","integrate(1/2*log((1+x)/x),x, algorithm=""fricas"")","\frac{1}{2} \, x \log\left(\frac{x + 1}{x}\right) + \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"1/2*x*log((x + 1)/x) + 1/2*log(x + 1)","A",0
297,1,49,0,1.253278," ","integrate(log(-1+((1+x)/x)^(1/2)),x, algorithm=""fricas"")","\frac{1}{4} \, {\left(4 \, x + 1\right)} \log\left(\sqrt{\frac{x + 1}{x}} - 1\right) + \frac{1}{2} \, x \sqrt{\frac{x + 1}{x}} + \frac{1}{2} \, x - \frac{1}{4} \, \log\left(\sqrt{\frac{x + 1}{x}} + 1\right)"," ",0,"1/4*(4*x + 1)*log(sqrt((x + 1)/x) - 1) + 1/2*x*sqrt((x + 1)/x) + 1/2*x - 1/4*log(sqrt((x + 1)/x) + 1)","A",0
298,1,48,0,0.766054," ","integrate(log(-2+((1+x)/x)^(1/2)),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(3 \, x - 1\right)} \log\left(\sqrt{\frac{x + 1}{x}} - 2\right) - \frac{1}{6} \, \log\left(\sqrt{\frac{x + 1}{x}} + 1\right) + \frac{1}{2} \, \log\left(\sqrt{\frac{x + 1}{x}} - 1\right)"," ",0,"1/3*(3*x - 1)*log(sqrt((x + 1)/x) - 2) - 1/6*log(sqrt((x + 1)/x) + 1) + 1/2*log(sqrt((x + 1)/x) - 1)","A",0
299,1,9,0,0.958932," ","integrate(x^(a*x)+x^(a*x)*log(x),x, algorithm=""fricas"")","\frac{x^{a x}}{a}"," ",0,"x^(a*x)/a","A",0
300,1,16,0,1.080354," ","integrate((log(x)^m)^p,x, algorithm=""fricas"")","\cos\left(\pi m p\right) \Gamma\left(m p + 1, -\log\left(x\right)\right)"," ",0,"cos(pi*m*p)*gamma(m*p + 1, -log(x))","A",0
301,-2,0,0,0.000000," ","integrate(log(x)/(a+b*log(x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
302,-2,0,0,0.000000," ","integrate(log(x)/(a-b*log(x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
303,-2,0,0,0.000000," ","integrate((A+B*log(x))/(a+b*log(x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
304,-2,0,0,0.000000," ","integrate((A+B*log(x))/(a-b*log(x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
305,1,234,0,0.980361," ","integrate(x^2*log(log(x)*sin(x)),x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} \log\left(\log\left(x\right) \sin\left(x\right)\right) - \frac{1}{6} \, x^{3} \log\left(\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{6} \, x^{3} \log\left(\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) - \frac{1}{6} \, x^{3} \log\left(-\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{6} \, x^{3} \log\left(-\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) + \frac{1}{2} i \, x^{2} {\rm Li}_2\left(\cos\left(x\right) + i \, \sin\left(x\right)\right) - \frac{1}{2} i \, x^{2} {\rm Li}_2\left(\cos\left(x\right) - i \, \sin\left(x\right)\right) - \frac{1}{2} i \, x^{2} {\rm Li}_2\left(-\cos\left(x\right) + i \, \sin\left(x\right)\right) + \frac{1}{2} i \, x^{2} {\rm Li}_2\left(-\cos\left(x\right) - i \, \sin\left(x\right)\right) - x {\rm polylog}\left(3, \cos\left(x\right) + i \, \sin\left(x\right)\right) - x {\rm polylog}\left(3, \cos\left(x\right) - i \, \sin\left(x\right)\right) - x {\rm polylog}\left(3, -\cos\left(x\right) + i \, \sin\left(x\right)\right) - x {\rm polylog}\left(3, -\cos\left(x\right) - i \, \sin\left(x\right)\right) - \frac{1}{3} \, \operatorname{log\_integral}\left(x^{3}\right) - i \, {\rm polylog}\left(4, \cos\left(x\right) + i \, \sin\left(x\right)\right) + i \, {\rm polylog}\left(4, \cos\left(x\right) - i \, \sin\left(x\right)\right) + i \, {\rm polylog}\left(4, -\cos\left(x\right) + i \, \sin\left(x\right)\right) - i \, {\rm polylog}\left(4, -\cos\left(x\right) - i \, \sin\left(x\right)\right)"," ",0,"1/3*x^3*log(log(x)*sin(x)) - 1/6*x^3*log(cos(x) + I*sin(x) + 1) - 1/6*x^3*log(cos(x) - I*sin(x) + 1) - 1/6*x^3*log(-cos(x) + I*sin(x) + 1) - 1/6*x^3*log(-cos(x) - I*sin(x) + 1) + 1/2*I*x^2*dilog(cos(x) + I*sin(x)) - 1/2*I*x^2*dilog(cos(x) - I*sin(x)) - 1/2*I*x^2*dilog(-cos(x) + I*sin(x)) + 1/2*I*x^2*dilog(-cos(x) - I*sin(x)) - x*polylog(3, cos(x) + I*sin(x)) - x*polylog(3, cos(x) - I*sin(x)) - x*polylog(3, -cos(x) + I*sin(x)) - x*polylog(3, -cos(x) - I*sin(x)) - 1/3*log_integral(x^3) - I*polylog(4, cos(x) + I*sin(x)) + I*polylog(4, cos(x) - I*sin(x)) + I*polylog(4, -cos(x) + I*sin(x)) - I*polylog(4, -cos(x) - I*sin(x))","C",0
306,1,174,0,1.657816," ","integrate(x*log(log(x)*sin(x)),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} \log\left(\log\left(x\right) \sin\left(x\right)\right) - \frac{1}{4} \, x^{2} \log\left(\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{4} \, x^{2} \log\left(\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) - \frac{1}{4} \, x^{2} \log\left(-\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{4} \, x^{2} \log\left(-\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) + \frac{1}{2} i \, x {\rm Li}_2\left(\cos\left(x\right) + i \, \sin\left(x\right)\right) - \frac{1}{2} i \, x {\rm Li}_2\left(\cos\left(x\right) - i \, \sin\left(x\right)\right) - \frac{1}{2} i \, x {\rm Li}_2\left(-\cos\left(x\right) + i \, \sin\left(x\right)\right) + \frac{1}{2} i \, x {\rm Li}_2\left(-\cos\left(x\right) - i \, \sin\left(x\right)\right) - \frac{1}{2} \, \operatorname{log\_integral}\left(x^{2}\right) - \frac{1}{2} \, {\rm polylog}\left(3, \cos\left(x\right) + i \, \sin\left(x\right)\right) - \frac{1}{2} \, {\rm polylog}\left(3, \cos\left(x\right) - i \, \sin\left(x\right)\right) - \frac{1}{2} \, {\rm polylog}\left(3, -\cos\left(x\right) + i \, \sin\left(x\right)\right) - \frac{1}{2} \, {\rm polylog}\left(3, -\cos\left(x\right) - i \, \sin\left(x\right)\right)"," ",0,"1/2*x^2*log(log(x)*sin(x)) - 1/4*x^2*log(cos(x) + I*sin(x) + 1) - 1/4*x^2*log(cos(x) - I*sin(x) + 1) - 1/4*x^2*log(-cos(x) + I*sin(x) + 1) - 1/4*x^2*log(-cos(x) - I*sin(x) + 1) + 1/2*I*x*dilog(cos(x) + I*sin(x)) - 1/2*I*x*dilog(cos(x) - I*sin(x)) - 1/2*I*x*dilog(-cos(x) + I*sin(x)) + 1/2*I*x*dilog(-cos(x) - I*sin(x)) - 1/2*log_integral(x^2) - 1/2*polylog(3, cos(x) + I*sin(x)) - 1/2*polylog(3, cos(x) - I*sin(x)) - 1/2*polylog(3, -cos(x) + I*sin(x)) - 1/2*polylog(3, -cos(x) - I*sin(x))","C",0
307,1,109,0,1.400895," ","integrate(log(log(x)*sin(x)),x, algorithm=""fricas"")","x \log\left(\log\left(x\right) \sin\left(x\right)\right) - \frac{1}{2} \, x \log\left(\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(-\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(-\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) + \frac{1}{2} i \, {\rm Li}_2\left(\cos\left(x\right) + i \, \sin\left(x\right)\right) - \frac{1}{2} i \, {\rm Li}_2\left(\cos\left(x\right) - i \, \sin\left(x\right)\right) - \frac{1}{2} i \, {\rm Li}_2\left(-\cos\left(x\right) + i \, \sin\left(x\right)\right) + \frac{1}{2} i \, {\rm Li}_2\left(-\cos\left(x\right) - i \, \sin\left(x\right)\right) - \operatorname{log\_integral}\left(x\right)"," ",0,"x*log(log(x)*sin(x)) - 1/2*x*log(cos(x) + I*sin(x) + 1) - 1/2*x*log(cos(x) - I*sin(x) + 1) - 1/2*x*log(-cos(x) + I*sin(x) + 1) - 1/2*x*log(-cos(x) - I*sin(x) + 1) + 1/2*I*dilog(cos(x) + I*sin(x)) - 1/2*I*dilog(cos(x) - I*sin(x)) - 1/2*I*dilog(-cos(x) + I*sin(x)) + 1/2*I*dilog(-cos(x) - I*sin(x)) - log_integral(x)","B",0
308,0,0,0,1.345451," ","integrate(log(log(x)*sin(x))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(\log\left(x\right) \sin\left(x\right)\right)}{x}, x\right)"," ",0,"integral(log(log(x)*sin(x))/x, x)","F",0
309,0,0,0,1.355492," ","integrate(log(log(x)*sin(x))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(\log\left(x\right) \sin\left(x\right)\right)}{x^{2}}, x\right)"," ",0,"integral(log(log(x)*sin(x))/x^2, x)","F",0
310,1,241,0,1.447509," ","integrate(x^2*log(exp(x)*log(x)*sin(x)),x, algorithm=""fricas"")","-\frac{1}{12} \, x^{4} + \frac{1}{3} \, x^{3} \log\left(e^{x} \log\left(x\right) \sin\left(x\right)\right) - \frac{1}{6} \, x^{3} \log\left(\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{6} \, x^{3} \log\left(\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) - \frac{1}{6} \, x^{3} \log\left(-\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{6} \, x^{3} \log\left(-\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) + \frac{1}{2} i \, x^{2} {\rm Li}_2\left(\cos\left(x\right) + i \, \sin\left(x\right)\right) - \frac{1}{2} i \, x^{2} {\rm Li}_2\left(\cos\left(x\right) - i \, \sin\left(x\right)\right) - \frac{1}{2} i \, x^{2} {\rm Li}_2\left(-\cos\left(x\right) + i \, \sin\left(x\right)\right) + \frac{1}{2} i \, x^{2} {\rm Li}_2\left(-\cos\left(x\right) - i \, \sin\left(x\right)\right) - x {\rm polylog}\left(3, \cos\left(x\right) + i \, \sin\left(x\right)\right) - x {\rm polylog}\left(3, \cos\left(x\right) - i \, \sin\left(x\right)\right) - x {\rm polylog}\left(3, -\cos\left(x\right) + i \, \sin\left(x\right)\right) - x {\rm polylog}\left(3, -\cos\left(x\right) - i \, \sin\left(x\right)\right) - \frac{1}{3} \, \operatorname{log\_integral}\left(x^{3}\right) - i \, {\rm polylog}\left(4, \cos\left(x\right) + i \, \sin\left(x\right)\right) + i \, {\rm polylog}\left(4, \cos\left(x\right) - i \, \sin\left(x\right)\right) + i \, {\rm polylog}\left(4, -\cos\left(x\right) + i \, \sin\left(x\right)\right) - i \, {\rm polylog}\left(4, -\cos\left(x\right) - i \, \sin\left(x\right)\right)"," ",0,"-1/12*x^4 + 1/3*x^3*log(e^x*log(x)*sin(x)) - 1/6*x^3*log(cos(x) + I*sin(x) + 1) - 1/6*x^3*log(cos(x) - I*sin(x) + 1) - 1/6*x^3*log(-cos(x) + I*sin(x) + 1) - 1/6*x^3*log(-cos(x) - I*sin(x) + 1) + 1/2*I*x^2*dilog(cos(x) + I*sin(x)) - 1/2*I*x^2*dilog(cos(x) - I*sin(x)) - 1/2*I*x^2*dilog(-cos(x) + I*sin(x)) + 1/2*I*x^2*dilog(-cos(x) - I*sin(x)) - x*polylog(3, cos(x) + I*sin(x)) - x*polylog(3, cos(x) - I*sin(x)) - x*polylog(3, -cos(x) + I*sin(x)) - x*polylog(3, -cos(x) - I*sin(x)) - 1/3*log_integral(x^3) - I*polylog(4, cos(x) + I*sin(x)) + I*polylog(4, cos(x) - I*sin(x)) + I*polylog(4, -cos(x) + I*sin(x)) - I*polylog(4, -cos(x) - I*sin(x))","C",0
311,1,181,0,1.014846," ","integrate(x*log(exp(x)*log(x)*sin(x)),x, algorithm=""fricas"")","-\frac{1}{6} \, x^{3} + \frac{1}{2} \, x^{2} \log\left(e^{x} \log\left(x\right) \sin\left(x\right)\right) - \frac{1}{4} \, x^{2} \log\left(\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{4} \, x^{2} \log\left(\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) - \frac{1}{4} \, x^{2} \log\left(-\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{4} \, x^{2} \log\left(-\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) + \frac{1}{2} i \, x {\rm Li}_2\left(\cos\left(x\right) + i \, \sin\left(x\right)\right) - \frac{1}{2} i \, x {\rm Li}_2\left(\cos\left(x\right) - i \, \sin\left(x\right)\right) - \frac{1}{2} i \, x {\rm Li}_2\left(-\cos\left(x\right) + i \, \sin\left(x\right)\right) + \frac{1}{2} i \, x {\rm Li}_2\left(-\cos\left(x\right) - i \, \sin\left(x\right)\right) - \frac{1}{2} \, \operatorname{log\_integral}\left(x^{2}\right) - \frac{1}{2} \, {\rm polylog}\left(3, \cos\left(x\right) + i \, \sin\left(x\right)\right) - \frac{1}{2} \, {\rm polylog}\left(3, \cos\left(x\right) - i \, \sin\left(x\right)\right) - \frac{1}{2} \, {\rm polylog}\left(3, -\cos\left(x\right) + i \, \sin\left(x\right)\right) - \frac{1}{2} \, {\rm polylog}\left(3, -\cos\left(x\right) - i \, \sin\left(x\right)\right)"," ",0,"-1/6*x^3 + 1/2*x^2*log(e^x*log(x)*sin(x)) - 1/4*x^2*log(cos(x) + I*sin(x) + 1) - 1/4*x^2*log(cos(x) - I*sin(x) + 1) - 1/4*x^2*log(-cos(x) + I*sin(x) + 1) - 1/4*x^2*log(-cos(x) - I*sin(x) + 1) + 1/2*I*x*dilog(cos(x) + I*sin(x)) - 1/2*I*x*dilog(cos(x) - I*sin(x)) - 1/2*I*x*dilog(-cos(x) + I*sin(x)) + 1/2*I*x*dilog(-cos(x) - I*sin(x)) - 1/2*log_integral(x^2) - 1/2*polylog(3, cos(x) + I*sin(x)) - 1/2*polylog(3, cos(x) - I*sin(x)) - 1/2*polylog(3, -cos(x) + I*sin(x)) - 1/2*polylog(3, -cos(x) - I*sin(x))","C",0
312,1,116,0,1.300120," ","integrate(log(exp(x)*log(x)*sin(x)),x, algorithm=""fricas"")","-\frac{1}{2} \, x^{2} + x \log\left(e^{x} \log\left(x\right) \sin\left(x\right)\right) - \frac{1}{2} \, x \log\left(\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(-\cos\left(x\right) + i \, \sin\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(-\cos\left(x\right) - i \, \sin\left(x\right) + 1\right) + \frac{1}{2} i \, {\rm Li}_2\left(\cos\left(x\right) + i \, \sin\left(x\right)\right) - \frac{1}{2} i \, {\rm Li}_2\left(\cos\left(x\right) - i \, \sin\left(x\right)\right) - \frac{1}{2} i \, {\rm Li}_2\left(-\cos\left(x\right) + i \, \sin\left(x\right)\right) + \frac{1}{2} i \, {\rm Li}_2\left(-\cos\left(x\right) - i \, \sin\left(x\right)\right) - \operatorname{log\_integral}\left(x\right)"," ",0,"-1/2*x^2 + x*log(e^x*log(x)*sin(x)) - 1/2*x*log(cos(x) + I*sin(x) + 1) - 1/2*x*log(cos(x) - I*sin(x) + 1) - 1/2*x*log(-cos(x) + I*sin(x) + 1) - 1/2*x*log(-cos(x) - I*sin(x) + 1) + 1/2*I*dilog(cos(x) + I*sin(x)) - 1/2*I*dilog(cos(x) - I*sin(x)) - 1/2*I*dilog(-cos(x) + I*sin(x)) + 1/2*I*dilog(-cos(x) - I*sin(x)) - log_integral(x)","B",0
313,0,0,0,1.314939," ","integrate(log(exp(x)*log(x)*sin(x))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(e^{x} \log\left(x\right) \sin\left(x\right)\right)}{x}, x\right)"," ",0,"integral(log(e^x*log(x)*sin(x))/x, x)","F",0
314,0,0,0,1.558257," ","integrate(log(exp(x)*log(x)*sin(x))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(e^{x} \log\left(x\right) \sin\left(x\right)\right)}{x^{2}}, x\right)"," ",0,"integral(log(e^x*log(x)*sin(x))/x^2, x)","F",0
