1,-2,0,0,0.000000," ","integrate(log(c*x^n)^(-1+q)*(a*x^m+b*log(c*x^n)^q)^p/x,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to check sign: (4*pi/(pi*sign(n*t_nostep+ln(abs(c)))*sign(pi*sign(c)-pi)-pi*sign(pi*sign(c)-pi)-2*atan((pi*sign(c)-pi)/(2*n*t_nostep+2*ln(abs(c)))))/2)>(-4*pi/(pi*sign(n*t_nostep+ln(abs(c)))*sign(pi*sign(c)-pi)-pi*sign(pi*sign(c)-pi)-2*atan((pi*sign(c)-pi)/(2*n*t_nostep+2*ln(abs(c)))))/2)Unable to check sign: (4*pi/(pi*sign(n*t_nostep+ln(abs(c)))*sign(pi*sign(c)-pi)-pi*sign(pi*sign(c)-pi)-2*atan((pi*sign(c)-pi)/(2*n*t_nostep+2*ln(abs(c)))))/2)>(-4*pi/(pi*sign(n*t_nostep+ln(abs(c)))*sign(pi*sign(c)-pi)-pi*sign(pi*sign(c)-pi)-2*atan((pi*sign(c)-pi)/(2*n*t_nostep+2*ln(abs(c)))))/2)Evaluation time: 2.46Unable to divide, perhaps due to rounding error%%%{1,[0,0,2,5,2,0,5,0,2,1,2,2]%%%}+%%%{-2,[0,0,2,4,2,1,5,0,1,1,2,2]%%%}+%%%{5,[0,0,2,4,2,0,4,1,2,1,2,2]%%%}+%%%{1,[0,0,2,3,2,2,5,0,0,1,2,2]%%%}+%%%{-8,[0,0,2,3,2,1,4,1,1,1,2,2]%%%}+%%%{10,[0,0,2,3,2,0,3,2,2,1,2,2]%%%}+%%%{3,[0,0,2,2,2,2,4,1,0,1,2,2]%%%}+%%%{-12,[0,0,2,2,2,1,3,2,1,1,2,2]%%%}+%%%{10,[0,0,2,2,2,0,2,3,2,1,2,2]%%%}+%%%{3,[0,0,2,1,2,2,3,2,0,1,2,2]%%%}+%%%{-8,[0,0,2,1,2,1,2,3,1,1,2,2]%%%}+%%%{5,[0,0,2,1,2,0,1,4,2,1,2,2]%%%}+%%%{1,[0,0,2,0,2,2,2,3,0,1,2,2]%%%}+%%%{-2,[0,0,2,0,2,1,1,4,1,1,2,2]%%%}+%%%{1,[0,0,2,0,2,0,0,5,2,1,2,2]%%%} / %%%{1,[0,0,2,5,3,0,5,0,2,1,2,2]%%%}+%%%{-2,[0,0,2,4,3,1,5,0,1,1,2,2]%%%}+%%%{5,[0,0,2,4,3,0,4,1,2,1,2,2]%%%}+%%%{1,[0,0,2,3,3,2,5,0,0,1,2,2]%%%}+%%%{-8,[0,0,2,3,3,1,4,1,1,1,2,2]%%%}+%%%{10,[0,0,2,3,3,0,3,2,2,1,2,2]%%%}+%%%{3,[0,0,2,2,3,2,4,1,0,1,2,2]%%%}+%%%{-12,[0,0,2,2,3,1,3,2,1,1,2,2]%%%}+%%%{10,[0,0,2,2,3,0,2,3,2,1,2,2]%%%}+%%%{3,[0,0,2,1,3,2,3,2,0,1,2,2]%%%}+%%%{-8,[0,0,2,1,3,1,2,3,1,1,2,2]%%%}+%%%{5,[0,0,2,1,3,0,1,4,2,1,2,2]%%%}+%%%{1,[0,0,2,0,3,2,2,3,0,1,2,2]%%%}+%%%{-2,[0,0,2,0,3,1,1,4,1,1,2,2]%%%}+%%%{1,[0,0,2,0,3,0,0,5,2,1,2,2]%%%} Error: Bad Argument Value","F(-2)",0
2,0,0,0,0.000000," ","integrate(log(c*x^n)^(-1+q)*(a*x^m+b*log(c*x^n)^q)^3/x,x, algorithm=""giac"")","\int \frac{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)}^{3} \log\left(c x^{n}\right)^{q - 1}}{x}\,{d x}"," ",0,"integrate((a*x^m + b*log(c*x^n)^q)^3*log(c*x^n)^(q - 1)/x, x)","F",0
3,0,0,0,0.000000," ","integrate(log(c*x^n)^(-1+q)*(a*x^m+b*log(c*x^n)^q)^2/x,x, algorithm=""giac"")","\int \frac{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)}^{2} \log\left(c x^{n}\right)^{q - 1}}{x}\,{d x}"," ",0,"integrate((a*x^m + b*log(c*x^n)^q)^2*log(c*x^n)^(q - 1)/x, x)","F",0
4,0,0,0,0.000000," ","integrate(log(c*x^n)^(-1+q)*(a*x^m+b*log(c*x^n)^q)/x,x, algorithm=""giac"")","\int \frac{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)} \log\left(c x^{n}\right)^{q - 1}}{x}\,{d x}"," ",0,"integrate((a*x^m + b*log(c*x^n)^q)*log(c*x^n)^(q - 1)/x, x)","F",0
5,1,16,0,0.163791," ","integrate(log(c*x^n)^(-1+q)/x,x, algorithm=""giac"")","\frac{{\left(n \log\left(x\right) + \log\left(c\right)\right)}^{q}}{n q}"," ",0,"(n*log(x) + log(c))^q/(n*q)","A",0
6,0,0,0,0.000000," ","integrate(log(c*x^n)^(-1+q)/x/(a*x^m+b*log(c*x^n)^q),x, algorithm=""giac"")","\int \frac{\log\left(c x^{n}\right)^{q - 1}}{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)} x}\,{d x}"," ",0,"integrate(log(c*x^n)^(q - 1)/((a*x^m + b*log(c*x^n)^q)*x), x)","F",0
7,0,0,0,0.000000," ","integrate(log(c*x^n)^(-1+q)/x/(a*x^m+b*log(c*x^n)^q)^2,x, algorithm=""giac"")","\int \frac{\log\left(c x^{n}\right)^{q - 1}}{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)}^{2} x}\,{d x}"," ",0,"integrate(log(c*x^n)^(q - 1)/((a*x^m + b*log(c*x^n)^q)^2*x), x)","F",0
8,0,0,0,0.000000," ","integrate(log(c*x^n)^(-1+q)/x/(a*x^m+b*log(c*x^n)^q)^3,x, algorithm=""giac"")","\int \frac{\log\left(c x^{n}\right)^{q - 1}}{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)}^{3} x}\,{d x}"," ",0,"integrate(log(c*x^n)^(q - 1)/((a*x^m + b*log(c*x^n)^q)^3*x), x)","F",0
9,1,766,0,0.256250," ","integrate(log(c*x^n)*(a*x^m+b*log(c*x^n)^2)^3/x,x, algorithm=""giac"")","\frac{1}{8} \, b^{3} n^{7} \log\left(x\right)^{8} + b^{3} n^{6} \log\left(c\right) \log\left(x\right)^{7} + \frac{7}{2} \, b^{3} n^{5} \log\left(c\right)^{2} \log\left(x\right)^{6} + 7 \, b^{3} n^{4} \log\left(c\right)^{3} \log\left(x\right)^{5} + \frac{35}{4} \, b^{3} n^{3} \log\left(c\right)^{4} \log\left(x\right)^{4} + 7 \, b^{3} n^{2} \log\left(c\right)^{5} \log\left(x\right)^{3} + \frac{3 \, a b^{2} n^{5} x^{m} \log\left(x\right)^{5}}{m} + \frac{7}{2} \, b^{3} n \log\left(c\right)^{6} \log\left(x\right)^{2} + \frac{15 \, a b^{2} n^{4} x^{m} \log\left(c\right) \log\left(x\right)^{4}}{m} + b^{3} \log\left(c\right)^{7} \log\left(x\right) + \frac{30 \, a b^{2} n^{3} x^{m} \log\left(c\right)^{2} \log\left(x\right)^{3}}{m} - \frac{15 \, a b^{2} n^{5} x^{m} \log\left(x\right)^{4}}{m^{2}} + \frac{30 \, a b^{2} n^{2} x^{m} \log\left(c\right)^{3} \log\left(x\right)^{2}}{m} - \frac{60 \, a b^{2} n^{4} x^{m} \log\left(c\right) \log\left(x\right)^{3}}{m^{2}} + \frac{15 \, a b^{2} n x^{m} \log\left(c\right)^{4} \log\left(x\right)}{m} - \frac{90 \, a b^{2} n^{3} x^{m} \log\left(c\right)^{2} \log\left(x\right)^{2}}{m^{2}} + \frac{3 \, a^{2} b n^{3} x^{2 \, m} \log\left(x\right)^{3}}{2 \, m} + \frac{60 \, a b^{2} n^{5} x^{m} \log\left(x\right)^{3}}{m^{3}} + \frac{3 \, a b^{2} x^{m} \log\left(c\right)^{5}}{m} - \frac{60 \, a b^{2} n^{2} x^{m} \log\left(c\right)^{3} \log\left(x\right)}{m^{2}} + \frac{9 \, a^{2} b n^{2} x^{2 \, m} \log\left(c\right) \log\left(x\right)^{2}}{2 \, m} + \frac{180 \, a b^{2} n^{4} x^{m} \log\left(c\right) \log\left(x\right)^{2}}{m^{3}} - \frac{15 \, a b^{2} n x^{m} \log\left(c\right)^{4}}{m^{2}} + \frac{9 \, a^{2} b n x^{2 \, m} \log\left(c\right)^{2} \log\left(x\right)}{2 \, m} + \frac{180 \, a b^{2} n^{3} x^{m} \log\left(c\right)^{2} \log\left(x\right)}{m^{3}} - \frac{9 \, a^{2} b n^{3} x^{2 \, m} \log\left(x\right)^{2}}{4 \, m^{2}} - \frac{180 \, a b^{2} n^{5} x^{m} \log\left(x\right)^{2}}{m^{4}} + \frac{3 \, a^{2} b x^{2 \, m} \log\left(c\right)^{3}}{2 \, m} + \frac{60 \, a b^{2} n^{2} x^{m} \log\left(c\right)^{3}}{m^{3}} - \frac{9 \, a^{2} b n^{2} x^{2 \, m} \log\left(c\right) \log\left(x\right)}{2 \, m^{2}} - \frac{360 \, a b^{2} n^{4} x^{m} \log\left(c\right) \log\left(x\right)}{m^{4}} - \frac{9 \, a^{2} b n x^{2 \, m} \log\left(c\right)^{2}}{4 \, m^{2}} - \frac{180 \, a b^{2} n^{3} x^{m} \log\left(c\right)^{2}}{m^{4}} + \frac{a^{3} n x^{3 \, m} \log\left(x\right)}{3 \, m} + \frac{9 \, a^{2} b n^{3} x^{2 \, m} \log\left(x\right)}{4 \, m^{3}} + \frac{360 \, a b^{2} n^{5} x^{m} \log\left(x\right)}{m^{5}} + \frac{a^{3} x^{3 \, m} \log\left(c\right)}{3 \, m} + \frac{9 \, a^{2} b n^{2} x^{2 \, m} \log\left(c\right)}{4 \, m^{3}} + \frac{360 \, a b^{2} n^{4} x^{m} \log\left(c\right)}{m^{5}} - \frac{a^{3} n x^{3 \, m}}{9 \, m^{2}} - \frac{9 \, a^{2} b n^{3} x^{2 \, m}}{8 \, m^{4}} - \frac{360 \, a b^{2} n^{5} x^{m}}{m^{6}}"," ",0,"1/8*b^3*n^7*log(x)^8 + b^3*n^6*log(c)*log(x)^7 + 7/2*b^3*n^5*log(c)^2*log(x)^6 + 7*b^3*n^4*log(c)^3*log(x)^5 + 35/4*b^3*n^3*log(c)^4*log(x)^4 + 7*b^3*n^2*log(c)^5*log(x)^3 + 3*a*b^2*n^5*x^m*log(x)^5/m + 7/2*b^3*n*log(c)^6*log(x)^2 + 15*a*b^2*n^4*x^m*log(c)*log(x)^4/m + b^3*log(c)^7*log(x) + 30*a*b^2*n^3*x^m*log(c)^2*log(x)^3/m - 15*a*b^2*n^5*x^m*log(x)^4/m^2 + 30*a*b^2*n^2*x^m*log(c)^3*log(x)^2/m - 60*a*b^2*n^4*x^m*log(c)*log(x)^3/m^2 + 15*a*b^2*n*x^m*log(c)^4*log(x)/m - 90*a*b^2*n^3*x^m*log(c)^2*log(x)^2/m^2 + 3/2*a^2*b*n^3*x^(2*m)*log(x)^3/m + 60*a*b^2*n^5*x^m*log(x)^3/m^3 + 3*a*b^2*x^m*log(c)^5/m - 60*a*b^2*n^2*x^m*log(c)^3*log(x)/m^2 + 9/2*a^2*b*n^2*x^(2*m)*log(c)*log(x)^2/m + 180*a*b^2*n^4*x^m*log(c)*log(x)^2/m^3 - 15*a*b^2*n*x^m*log(c)^4/m^2 + 9/2*a^2*b*n*x^(2*m)*log(c)^2*log(x)/m + 180*a*b^2*n^3*x^m*log(c)^2*log(x)/m^3 - 9/4*a^2*b*n^3*x^(2*m)*log(x)^2/m^2 - 180*a*b^2*n^5*x^m*log(x)^2/m^4 + 3/2*a^2*b*x^(2*m)*log(c)^3/m + 60*a*b^2*n^2*x^m*log(c)^3/m^3 - 9/2*a^2*b*n^2*x^(2*m)*log(c)*log(x)/m^2 - 360*a*b^2*n^4*x^m*log(c)*log(x)/m^4 - 9/4*a^2*b*n*x^(2*m)*log(c)^2/m^2 - 180*a*b^2*n^3*x^m*log(c)^2/m^4 + 1/3*a^3*n*x^(3*m)*log(x)/m + 9/4*a^2*b*n^3*x^(2*m)*log(x)/m^3 + 360*a*b^2*n^5*x^m*log(x)/m^5 + 1/3*a^3*x^(3*m)*log(c)/m + 9/4*a^2*b*n^2*x^(2*m)*log(c)/m^3 + 360*a*b^2*n^4*x^m*log(c)/m^5 - 1/9*a^3*n*x^(3*m)/m^2 - 9/8*a^2*b*n^3*x^(2*m)/m^4 - 360*a*b^2*n^5*x^m/m^6","B",0
10,1,286,0,0.188771," ","integrate(log(c*x^n)*(a*x^m+b*log(c*x^n)^2)^2/x,x, algorithm=""giac"")","\frac{1}{6} \, b^{2} n^{5} \log\left(x\right)^{6} + b^{2} n^{4} \log\left(c\right) \log\left(x\right)^{5} + \frac{5}{2} \, b^{2} n^{3} \log\left(c\right)^{2} \log\left(x\right)^{4} + \frac{10}{3} \, b^{2} n^{2} \log\left(c\right)^{3} \log\left(x\right)^{3} + \frac{5}{2} \, b^{2} n \log\left(c\right)^{4} \log\left(x\right)^{2} + b^{2} \log\left(c\right)^{5} \log\left(x\right) + \frac{2 \, a b n^{3} x^{m} \log\left(x\right)^{3}}{m} + \frac{6 \, a b n^{2} x^{m} \log\left(c\right) \log\left(x\right)^{2}}{m} + \frac{6 \, a b n x^{m} \log\left(c\right)^{2} \log\left(x\right)}{m} - \frac{6 \, a b n^{3} x^{m} \log\left(x\right)^{2}}{m^{2}} + \frac{2 \, a b x^{m} \log\left(c\right)^{3}}{m} - \frac{12 \, a b n^{2} x^{m} \log\left(c\right) \log\left(x\right)}{m^{2}} - \frac{6 \, a b n x^{m} \log\left(c\right)^{2}}{m^{2}} + \frac{a^{2} n x^{2 \, m} \log\left(x\right)}{2 \, m} + \frac{12 \, a b n^{3} x^{m} \log\left(x\right)}{m^{3}} + \frac{a^{2} x^{2 \, m} \log\left(c\right)}{2 \, m} + \frac{12 \, a b n^{2} x^{m} \log\left(c\right)}{m^{3}} - \frac{a^{2} n x^{2 \, m}}{4 \, m^{2}} - \frac{12 \, a b n^{3} x^{m}}{m^{4}}"," ",0,"1/6*b^2*n^5*log(x)^6 + b^2*n^4*log(c)*log(x)^5 + 5/2*b^2*n^3*log(c)^2*log(x)^4 + 10/3*b^2*n^2*log(c)^3*log(x)^3 + 5/2*b^2*n*log(c)^4*log(x)^2 + b^2*log(c)^5*log(x) + 2*a*b*n^3*x^m*log(x)^3/m + 6*a*b*n^2*x^m*log(c)*log(x)^2/m + 6*a*b*n*x^m*log(c)^2*log(x)/m - 6*a*b*n^3*x^m*log(x)^2/m^2 + 2*a*b*x^m*log(c)^3/m - 12*a*b*n^2*x^m*log(c)*log(x)/m^2 - 6*a*b*n*x^m*log(c)^2/m^2 + 1/2*a^2*n*x^(2*m)*log(x)/m + 12*a*b*n^3*x^m*log(x)/m^3 + 1/2*a^2*x^(2*m)*log(c)/m + 12*a*b*n^2*x^m*log(c)/m^3 - 1/4*a^2*n*x^(2*m)/m^2 - 12*a*b*n^3*x^m/m^4","B",0
11,1,73,0,0.203356," ","integrate(log(c*x^n)*(a*x^m+b*log(c*x^n)^2)/x,x, algorithm=""giac"")","\frac{1}{4} \, b n^{3} \log\left(x\right)^{4} + b n^{2} \log\left(c\right) \log\left(x\right)^{3} + \frac{3}{2} \, b n \log\left(c\right)^{2} \log\left(x\right)^{2} + b \log\left(c\right)^{3} \log\left(x\right) + \frac{a n x^{m} \log\left(x\right)}{m} + \frac{a x^{m} \log\left(c\right)}{m} - \frac{a n x^{m}}{m^{2}}"," ",0,"1/4*b*n^3*log(x)^4 + b*n^2*log(c)*log(x)^3 + 3/2*b*n*log(c)^2*log(x)^2 + b*log(c)^3*log(x) + a*n*x^m*log(x)/m + a*x^m*log(c)/m - a*n*x^m/m^2","A",0
12,1,13,0,0.156494," ","integrate(log(c*x^n)/x,x, algorithm=""giac"")","\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
13,0,0,0,0.000000," ","integrate(log(c*x^n)/x/(a*x^m+b*log(c*x^n)^2),x, algorithm=""giac"")","\int \frac{\log\left(c x^{n}\right)}{{\left(b \log\left(c x^{n}\right)^{2} + a x^{m}\right)} x}\,{d x}"," ",0,"integrate(log(c*x^n)/((b*log(c*x^n)^2 + a*x^m)*x), x)","F",0
14,0,0,0,0.000000," ","integrate(log(c*x^n)/x/(a*x^m+b*log(c*x^n)^2)^2,x, algorithm=""giac"")","\int \frac{\log\left(c x^{n}\right)}{{\left(b \log\left(c x^{n}\right)^{2} + a x^{m}\right)}^{2} x}\,{d x}"," ",0,"integrate(log(c*x^n)/((b*log(c*x^n)^2 + a*x^m)^2*x), x)","F",0
15,0,0,0,0.000000," ","integrate(log(c*x^n)/x/(a*x^m+b*log(c*x^n)^2)^3,x, algorithm=""giac"")","\int \frac{\log\left(c x^{n}\right)}{{\left(b \log\left(c x^{n}\right)^{2} + a x^{m}\right)}^{3} x}\,{d x}"," ",0,"integrate(log(c*x^n)/((b*log(c*x^n)^2 + a*x^m)^3*x), x)","F",0
16,-2,0,0,0.000000," ","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=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0,0,2,5,2,0,5,0,3,1,2,3]%%%}+%%%{-2,[0,0,2,4,2,1,5,0,2,1,2,3]%%%}+%%%{5,[0,0,2,4,2,0,4,1,3,1,2,3]%%%}+%%%{1,[0,0,2,3,2,2,5,0,1,1,2,3]%%%}+%%%{-8,[0,0,2,3,2,1,4,1,2,1,2,3]%%%}+%%%{10,[0,0,2,3,2,0,3,2,3,1,2,3]%%%}+%%%{3,[0,0,2,2,2,2,4,1,1,1,2,3]%%%}+%%%{-12,[0,0,2,2,2,1,3,2,2,1,2,3]%%%}+%%%{10,[0,0,2,2,2,0,2,3,3,1,2,3]%%%}+%%%{3,[0,0,2,1,2,2,3,2,1,1,2,3]%%%}+%%%{-8,[0,0,2,1,2,1,2,3,2,1,2,3]%%%}+%%%{5,[0,0,2,1,2,0,1,4,3,1,2,3]%%%}+%%%{1,[0,0,2,0,2,2,2,3,1,1,2,3]%%%}+%%%{-2,[0,0,2,0,2,1,1,4,2,1,2,3]%%%}+%%%{1,[0,0,2,0,2,0,0,5,3,1,2,3]%%%} / %%%{1,[0,0,2,5,3,0,5,0,2,1,2,2]%%%}+%%%{-2,[0,0,2,4,3,1,5,0,1,1,2,2]%%%}+%%%{5,[0,0,2,4,3,0,4,1,2,1,2,2]%%%}+%%%{1,[0,0,2,3,3,2,5,0,0,1,2,2]%%%}+%%%{-8,[0,0,2,3,3,1,4,1,1,1,2,2]%%%}+%%%{10,[0,0,2,3,3,0,3,2,2,1,2,2]%%%}+%%%{3,[0,0,2,2,3,2,4,1,0,1,2,2]%%%}+%%%{-12,[0,0,2,2,3,1,3,2,1,1,2,2]%%%}+%%%{10,[0,0,2,2,3,0,2,3,2,1,2,2]%%%}+%%%{3,[0,0,2,1,3,2,3,2,0,1,2,2]%%%}+%%%{-8,[0,0,2,1,3,1,2,3,1,1,2,2]%%%}+%%%{5,[0,0,2,1,3,0,1,4,2,1,2,2]%%%}+%%%{1,[0,0,2,0,3,2,2,3,0,1,2,2]%%%}+%%%{-2,[0,0,2,0,3,1,1,4,1,1,2,2]%%%}+%%%{1,[0,0,2,0,3,0,0,5,2,1,2,2]%%%} Error: Bad Argument Value","F(-2)",0
17,0,0,0,0.000000," ","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=""giac"")","\int \frac{{\left(b n q \log\left(c x^{n}\right)^{q - 1} + a m x^{m}\right)} {\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*n*q*log(c*x^n)^(q - 1) + a*m*x^m)*(a*x^m + b*log(c*x^n)^q)^2/x, x)","F",0
18,0,0,0,0.000000," ","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=""giac"")","\int \frac{{\left(b n q \log\left(c x^{n}\right)^{q - 1} + a m x^{m}\right)} {\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)}}{x}\,{d x}"," ",0,"integrate((b*n*q*log(c*x^n)^(q - 1) + a*m*x^m)*(a*x^m + b*log(c*x^n)^q)/x, x)","F",0
19,1,17,0,0.196535," ","integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))/x,x, algorithm=""giac"")","{\left(n \log\left(x\right) + \log\left(c\right)\right)}^{q} b + a x^{m}"," ",0,"(n*log(x) + log(c))^q*b + a*x^m","A",0
20,0,0,0,0.000000," ","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=""giac"")","\int \frac{b n q \log\left(c x^{n}\right)^{q - 1} + a m x^{m}}{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)} x}\,{d x}"," ",0,"integrate((b*n*q*log(c*x^n)^(q - 1) + a*m*x^m)/((a*x^m + b*log(c*x^n)^q)*x), x)","F",0
21,0,0,0,0.000000," ","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=""giac"")","\int \frac{b n q \log\left(c x^{n}\right)^{q - 1} + a m x^{m}}{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)}^{2} x}\,{d x}"," ",0,"integrate((b*n*q*log(c*x^n)^(q - 1) + a*m*x^m)/((a*x^m + b*log(c*x^n)^q)^2*x), x)","F",0
22,0,0,0,0.000000," ","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=""giac"")","\int \frac{b n q \log\left(c x^{n}\right)^{q - 1} + a m x^{m}}{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)}^{3} x}\,{d x}"," ",0,"integrate((b*n*q*log(c*x^n)^(q - 1) + a*m*x^m)/((a*x^m + b*log(c*x^n)^q)^3*x), x)","F",0
23,1,198,0,0.199844," ","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=""giac"")","\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} + 2 \, b^{3} n \log\left(c\right)^{5} \log\left(x\right) + 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(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 + 2*b^3*n*log(c)^5*log(x) + 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*(2*a*b^2*n*x*log(c)^3 + a^2*b*n*x^2*log(c))*log(x)","B",0
24,1,90,0,0.181701," ","integrate((a/x+2*b*n*log(c*x^n)/x^2)*(a*x^2+b*x*log(c*x^n)^2),x, algorithm=""giac"")","\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} + 2 \, b^{2} n \log\left(c\right)^{3} \log\left(x\right) + 2 \, a b n x \log\left(c\right) \log\left(x\right) + 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}"," ",0,"1/2*b^2*n^4*log(x)^4 + 2*b^2*n^3*log(c)*log(x)^3 + 2*b^2*n*log(c)^3*log(x) + 2*a*b*n*x*log(c)*log(x) + 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","B",0
25,1,20,0,0.170854," ","integrate(a+2*b*n*log(c*x^n)/x,x, algorithm=""giac"")","{\left(n \log\left(x\right)^{2} + 2 \, \log\left(c\right) \log\left(x\right)\right)} b n + a x"," ",0,"(n*log(x)^2 + 2*log(c)*log(x))*b*n + a*x","A",0
26,1,28,0,0.162163," ","integrate((a*x+2*b*n*log(c*x^n))/(a*x^2+b*x*log(c*x^n)^2),x, algorithm=""giac"")","\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
27,1,31,0,0.181702," ","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=""giac"")","-\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
28,1,306,0,0.197166," ","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=""giac"")","-\frac{4 \, a b n^{2} x + a^{2} x^{2}}{2 \, {\left(4 \, a b^{3} n^{6} x \log\left(x\right)^{4} + 16 \, a b^{3} n^{5} x \log\left(c\right) \log\left(x\right)^{3} + a^{2} b^{2} n^{4} x^{2} \log\left(x\right)^{4} + 24 \, a b^{3} n^{4} x \log\left(c\right)^{2} \log\left(x\right)^{2} + 4 \, a^{2} b^{2} n^{3} x^{2} \log\left(c\right) \log\left(x\right)^{3} + 16 \, a b^{3} n^{3} x \log\left(c\right)^{3} \log\left(x\right) + 8 \, a^{2} b^{2} n^{4} x^{2} \log\left(x\right)^{2} + 6 \, a^{2} b^{2} n^{2} x^{2} \log\left(c\right)^{2} \log\left(x\right)^{2} + 4 \, a b^{3} n^{2} x \log\left(c\right)^{4} + 16 \, a^{2} b^{2} n^{3} x^{2} \log\left(c\right) \log\left(x\right) + 4 \, a^{2} b^{2} n x^{2} \log\left(c\right)^{3} \log\left(x\right) + 2 \, a^{3} b n^{2} x^{3} \log\left(x\right)^{2} + 8 \, a^{2} b^{2} n^{2} x^{2} \log\left(c\right)^{2} + a^{2} b^{2} x^{2} \log\left(c\right)^{4} + 4 \, a^{3} b n x^{3} \log\left(c\right) \log\left(x\right) + 4 \, a^{3} b n^{2} x^{3} + 2 \, a^{3} b x^{3} \log\left(c\right)^{2} + a^{4} x^{4}\right)}}"," ",0,"-1/2*(4*a*b*n^2*x + a^2*x^2)/(4*a*b^3*n^6*x*log(x)^4 + 16*a*b^3*n^5*x*log(c)*log(x)^3 + a^2*b^2*n^4*x^2*log(x)^4 + 24*a*b^3*n^4*x*log(c)^2*log(x)^2 + 4*a^2*b^2*n^3*x^2*log(c)*log(x)^3 + 16*a*b^3*n^3*x*log(c)^3*log(x) + 8*a^2*b^2*n^4*x^2*log(x)^2 + 6*a^2*b^2*n^2*x^2*log(c)^2*log(x)^2 + 4*a*b^3*n^2*x*log(c)^4 + 16*a^2*b^2*n^3*x^2*log(c)*log(x) + 4*a^2*b^2*n*x^2*log(c)^3*log(x) + 2*a^3*b*n^2*x^3*log(x)^2 + 8*a^2*b^2*n^2*x^2*log(c)^2 + a^2*b^2*x^2*log(c)^4 + 4*a^3*b*n*x^3*log(c)*log(x) + 4*a^3*b*n^2*x^3 + 2*a^3*b*x^3*log(c)^2 + a^4*x^4)","B",0
29,0,0,0,0.000000," ","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=""giac"")","\int \frac{b n q \log\left(c x^{n}\right)^{q - 1} + a {\left(m - 1\right)} x^{m - 1}}{b x \log\left(c x^{n}\right)^{q} + a x^{m}}\,{d x}"," ",0,"integrate((b*n*q*log(c*x^n)^(q - 1) + a*(m - 1)*x^(m - 1))/(b*x*log(c*x^n)^q + a*x^m), x)","F",0
30,-2,0,0,0.000000," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)^p/x,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0,0,2,5,2,0,5,0,2,1,2,2,1]%%%}+%%%{-2,[0,0,2,4,2,1,5,0,1,1,2,2,1]%%%}+%%%{5,[0,0,2,4,2,0,4,1,2,1,2,2,1]%%%}+%%%{1,[0,0,2,3,2,2,5,0,0,1,2,2,1]%%%}+%%%{-8,[0,0,2,3,2,1,4,1,1,1,2,2,1]%%%}+%%%{10,[0,0,2,3,2,0,3,2,2,1,2,2,1]%%%}+%%%{3,[0,0,2,2,2,2,4,1,0,1,2,2,1]%%%}+%%%{-12,[0,0,2,2,2,1,3,2,1,1,2,2,1]%%%}+%%%{10,[0,0,2,2,2,0,2,3,2,1,2,2,1]%%%}+%%%{3,[0,0,2,1,2,2,3,2,0,1,2,2,1]%%%}+%%%{-8,[0,0,2,1,2,1,2,3,1,1,2,2,1]%%%}+%%%{5,[0,0,2,1,2,0,1,4,2,1,2,2,1]%%%}+%%%{1,[0,0,2,0,2,2,2,3,0,1,2,2,1]%%%}+%%%{-2,[0,0,2,0,2,1,1,4,1,1,2,2,1]%%%}+%%%{1,[0,0,2,0,2,0,0,5,2,1,2,2,1]%%%} / %%%{1,[0,0,2,5,3,0,5,0,2,1,2,2,0]%%%}+%%%{-2,[0,0,2,4,3,1,5,0,1,1,2,2,0]%%%}+%%%{5,[0,0,2,4,3,0,4,1,2,1,2,2,0]%%%}+%%%{1,[0,0,2,3,3,2,5,0,0,1,2,2,0]%%%}+%%%{-8,[0,0,2,3,3,1,4,1,1,1,2,2,0]%%%}+%%%{10,[0,0,2,3,3,0,3,2,2,1,2,2,0]%%%}+%%%{3,[0,0,2,2,3,2,4,1,0,1,2,2,0]%%%}+%%%{-12,[0,0,2,2,3,1,3,2,1,1,2,2,0]%%%}+%%%{10,[0,0,2,2,3,0,2,3,2,1,2,2,0]%%%}+%%%{3,[0,0,2,1,3,2,3,2,0,1,2,2,0]%%%}+%%%{-8,[0,0,2,1,3,1,2,3,1,1,2,2,0]%%%}+%%%{5,[0,0,2,1,3,0,1,4,2,1,2,2,0]%%%}+%%%{1,[0,0,2,0,3,2,2,3,0,1,2,2,0]%%%}+%%%{-2,[0,0,2,0,3,1,1,4,1,1,2,2,0]%%%}+%%%{1,[0,0,2,0,3,0,0,5,2,1,2,2,0]%%%} Error: Bad Argument Value","F(-2)",0
31,0,0,0,0.000000," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)^3/x,x, algorithm=""giac"")","\int \frac{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)}^{3} {\left(d x^{m} + e \log\left(c x^{n}\right)^{q - 1}\right)}}{x}\,{d x}"," ",0,"integrate((a*x^m + b*log(c*x^n)^q)^3*(d*x^m + e*log(c*x^n)^(q - 1))/x, x)","F",0
32,0,0,0,0.000000," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)^2/x,x, algorithm=""giac"")","\int \frac{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)}^{2} {\left(d x^{m} + e \log\left(c x^{n}\right)^{q - 1}\right)}}{x}\,{d x}"," ",0,"integrate((a*x^m + b*log(c*x^n)^q)^2*(d*x^m + e*log(c*x^n)^(q - 1))/x, x)","F",0
33,0,0,0,0.000000," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)/x,x, algorithm=""giac"")","\int \frac{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)} {\left(d x^{m} + e \log\left(c x^{n}\right)^{q - 1}\right)}}{x}\,{d x}"," ",0,"integrate((a*x^m + b*log(c*x^n)^q)*(d*x^m + e*log(c*x^n)^(q - 1))/x, x)","F",0
34,1,27,0,0.181639," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))/x,x, algorithm=""giac"")","\frac{d x^{m}}{m} + \frac{{\left(n \log\left(x\right) + \log\left(c\right)\right)}^{q} e}{n q}"," ",0,"d*x^m/m + (n*log(x) + log(c))^q*e/(n*q)","A",0
35,0,0,0,0.000000," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))/x/(a*x^m+b*log(c*x^n)^q),x, algorithm=""giac"")","\int \frac{d x^{m} + e \log\left(c x^{n}\right)^{q - 1}}{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)} x}\,{d x}"," ",0,"integrate((d*x^m + e*log(c*x^n)^(q - 1))/((a*x^m + b*log(c*x^n)^q)*x), x)","F",0
36,0,0,0,0.000000," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))/x/(a*x^m+b*log(c*x^n)^q)^2,x, algorithm=""giac"")","\int \frac{d x^{m} + e \log\left(c x^{n}\right)^{q - 1}}{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)}^{2} x}\,{d x}"," ",0,"integrate((d*x^m + e*log(c*x^n)^(q - 1))/((a*x^m + b*log(c*x^n)^q)^2*x), x)","F",0
37,0,0,0,0.000000," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))/x/(a*x^m+b*log(c*x^n)^q)^3,x, algorithm=""giac"")","\int \frac{d x^{m} + e \log\left(c x^{n}\right)^{q - 1}}{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)}^{3} x}\,{d x}"," ",0,"integrate((d*x^m + e*log(c*x^n)^(q - 1))/((a*x^m + b*log(c*x^n)^q)^3*x), x)","F",0
38,0,0,0,0.000000," ","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=""giac"")","\int -\frac{b d n {\left(q - 1\right)} \log\left(c x^{n}\right)^{q} + a d m x^{m} \log\left(c x^{n}\right) - a d n x^{m}}{{\left(a x^{m} + b \log\left(c x^{n}\right)^{q}\right)}^{2} x}\,{d x}"," ",0,"integrate(-(b*d*n*(q - 1)*log(c*x^n)^q + a*d*m*x^m*log(c*x^n) - a*d*n*x^m)/((a*x^m + b*log(c*x^n)^q)^2*x), x)","F",0
39,0,0,0,0.000000," ","integrate((n*q-log(c*x^n))/(a*x+b*log(c*x^n)^q)^2,x, algorithm=""giac"")","\int \frac{n q - \log\left(c x^{n}\right)}{{\left(a x + b \log\left(c x^{n}\right)^{q}\right)}^{2}}\,{d x}"," ",0,"integrate((n*q - log(c*x^n))/(a*x + b*log(c*x^n)^q)^2, x)","F",0
40,0,0,0,0.000000," ","integrate(log(2*x*(e*x+d*(-e/d)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""giac"")","\int \frac{\log\left(\frac{2 \, {\left(e x + d \sqrt{-\frac{e}{d}}\right)} x}{e x^{2} + d}\right)}{e x^{2} + d}\,{d x}"," ",0,"integrate(log(2*(e*x + d*sqrt(-e/d))*x/(e*x^2 + d))/(e*x^2 + d), x)","F",0
41,0,0,0,0.000000," ","integrate(log(-2*x*(-e*x+d*(-e/d)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""giac"")","\int \frac{\log\left(\frac{2 \, {\left(e x - d \sqrt{-\frac{e}{d}}\right)} x}{e x^{2} + d}\right)}{e x^{2} + d}\,{d x}"," ",0,"integrate(log(2*(e*x - d*sqrt(-e/d))*x/(e*x^2 + d))/(e*x^2 + d), x)","F",0
42,0,0,0,0.000000," ","integrate(log(2*x*(e*x+d*e^(1/2)/(-d)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""giac"")","\mathit{sage}_{2}"," ",0,"sage2","F",0
43,0,0,0,0.000000," ","integrate(log(-2*x*(-e*x+d*e^(1/2)/(-d)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""giac"")","\mathit{sage}_{2}"," ",0,"sage2","F",0
44,0,0,0,0.000000," ","integrate(log(2*x*(e*x+d^(1/2)*(-e)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""giac"")","\int \frac{\log\left(\frac{2 \, {\left(e x + \sqrt{d} \sqrt{-e}\right)} x}{e x^{2} + d}\right)}{e x^{2} + d}\,{d x}"," ",0,"integrate(log(2*(e*x + sqrt(d)*sqrt(-e))*x/(e*x^2 + d))/(e*x^2 + d), x)","F",0
45,0,0,0,0.000000," ","integrate(log(-2*x*(-e*x+d^(1/2)*(-e)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""giac"")","\int \frac{\log\left(\frac{2 \, {\left(e x - \sqrt{d} \sqrt{-e}\right)} x}{e x^{2} + d}\right)}{e x^{2} + d}\,{d x}"," ",0,"integrate(log(2*(e*x - sqrt(d)*sqrt(-e))*x/(e*x^2 + d))/(e*x^2 + d), x)","F",0
46,1,83,0,0.242540," ","integrate((e*x)^m*(a+b*log(c*log(d*x)^p)),x, algorithm=""giac"")","\frac{b p x x^{m} e^{m} \log\left(\log\left(d\right) + \log\left(x\right)\right)}{m + 1} + \frac{b x x^{m} e^{m} \log\left(c\right)}{m + 1} + \frac{a x x^{m} e^{m}}{m + 1} - \frac{b p {\rm Ei}\left(m \log\left(d\right) + m \log\left(x\right) + \log\left(d\right) + \log\left(x\right)\right) e^{m}}{d d^{m} m + d d^{m}}"," ",0,"b*p*x*x^m*e^m*log(log(d) + log(x))/(m + 1) + b*x*x^m*e^m*log(c)/(m + 1) + a*x*x^m*e^m/(m + 1) - b*p*Ei(m*log(d) + m*log(x) + log(d) + log(x))*e^m/(d*d^m*m + d*d^m)","A",0
47,1,111,0,0.205914," ","integrate((e*x)^m*(a+b*log(c*log(d*x^n)^p)),x, algorithm=""giac"")","\frac{b p x x^{m} e^{m} \log\left(n \log\left(x\right) + \log\left(d\right)\right)}{m + 1} - \frac{b n p {\rm Ei}\left(m \log\left(x\right) + \frac{m \log\left(d\right)}{n} + \frac{\log\left(d\right)}{n} + \log\left(x\right)\right) e^{m}}{d^{\frac{m}{n}} d^{\left(\frac{1}{n}\right)} m n + d^{\frac{m}{n}} d^{\left(\frac{1}{n}\right)} n} + \frac{b x x^{m} e^{m} \log\left(c\right)}{m + 1} + \frac{a x x^{m} e^{m}}{m + 1}"," ",0,"b*p*x*x^m*e^m*log(n*log(x) + log(d))/(m + 1) - b*n*p*Ei(m*log(x) + m*log(d)/n + log(d)/n + log(x))*e^m/(d^(m/n)*d^(1/n)*m*n + d^(m/n)*d^(1/n)*n) + b*x*x^m*e^m*log(c)/(m + 1) + a*x*x^m*e^m/(m + 1)","A",0
48,1,56,0,0.176208," ","integrate(x^2*(a+b*log(c*log(d*x^n)^p)),x, algorithm=""giac"")","\frac{1}{3} \, b p x^{3} \log\left(n \log\left(x\right) + \log\left(d\right)\right) + \frac{1}{3} \, b x^{3} \log\left(c\right) + \frac{1}{3} \, a x^{3} - \frac{b p {\rm Ei}\left(\frac{3 \, \log\left(d\right)}{n} + 3 \, \log\left(x\right)\right)}{3 \, d^{\frac{3}{n}}}"," ",0,"1/3*b*p*x^3*log(n*log(x) + log(d)) + 1/3*b*x^3*log(c) + 1/3*a*x^3 - 1/3*b*p*Ei(3*log(d)/n + 3*log(x))/d^(3/n)","A",0
49,1,56,0,0.195449," ","integrate(x*(a+b*log(c*log(d*x^n)^p)),x, algorithm=""giac"")","\frac{1}{2} \, b p x^{2} \log\left(n \log\left(x\right) + \log\left(d\right)\right) + \frac{1}{2} \, b x^{2} \log\left(c\right) + \frac{1}{2} \, a x^{2} - \frac{b p {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{n} + 2 \, \log\left(x\right)\right)}{2 \, d^{\frac{2}{n}}}"," ",0,"1/2*b*p*x^2*log(n*log(x) + log(d)) + 1/2*b*x^2*log(c) + 1/2*a*x^2 - 1/2*b*p*Ei(2*log(d)/n + 2*log(x))/d^(2/n)","A",0
50,1,42,0,0.188024," ","integrate(a+b*log(c*log(d*x^n)^p),x, algorithm=""giac"")","{\left(p x \log\left(n \log\left(x\right) + \log\left(d\right)\right) + x \log\left(c\right) - \frac{p {\rm Ei}\left(\frac{\log\left(d\right)}{n} + \log\left(x\right)\right)}{d^{\left(\frac{1}{n}\right)}}\right)} b + a x"," ",0,"(p*x*log(n*log(x) + log(d)) + x*log(c) - p*Ei(log(d)/n + log(x))/d^(1/n))*b + a*x","A",0
51,1,54,0,0.172753," ","integrate((a+b*log(c*log(d*x^n)^p))/x,x, algorithm=""giac"")","\frac{{\left({\left(n \log\left(x\right) + \log\left(d\right)\right)} \log\left(n \log\left(x\right) + \log\left(d\right)\right) - n \log\left(x\right) - \log\left(d\right)\right)} b p + {\left(n \log\left(x\right) + \log\left(d\right)\right)} b \log\left(c\right) + {\left(n \log\left(x\right) + \log\left(d\right)\right)} a}{n}"," ",0,"(((n*log(x) + log(d))*log(n*log(x) + log(d)) - n*log(x) - log(d))*b*p + (n*log(x) + log(d))*b*log(c) + (n*log(x) + log(d))*a)/n","A",0
52,0,0,0,0.000000," ","integrate((a+b*log(c*log(d*x^n)^p))/x^2,x, algorithm=""giac"")","\int \frac{b \log\left(c \log\left(d x^{n}\right)^{p}\right) + a}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*log(d*x^n)^p) + a)/x^2, x)","F",0
53,0,0,0,0.000000," ","integrate((a+b*log(c*log(d*x^n)^p))/x^3,x, algorithm=""giac"")","\int \frac{b \log\left(c \log\left(d x^{n}\right)^{p}\right) + a}{x^{3}}\,{d x}"," ",0,"integrate((b*log(c*log(d*x^n)^p) + a)/x^3, x)","F",0
54,0,0,0,0.000000," ","integrate((a+b*log(c*log(d*x^n)^p))/x^4,x, algorithm=""giac"")","\int \frac{b \log\left(c \log\left(d x^{n}\right)^{p}\right) + a}{x^{4}}\,{d x}"," ",0,"integrate((b*log(c*log(d*x^n)^p) + a)/x^4, x)","F",0
55,1,26,0,0.190616," ","integrate(log(c*log(d*x)^p),x, algorithm=""giac"")","p x \log\left(\log\left(d\right) + \log\left(x\right)\right) + x \log\left(c\right) - \frac{p {\rm Ei}\left(\log\left(d\right) + \log\left(x\right)\right)}{d}"," ",0,"p*x*log(log(d) + log(x)) + x*log(c) - p*Ei(log(d) + log(x))/d","A",0
56,1,32,0,0.159662," ","integrate(log(c*log(d*x)^p)/x,x, algorithm=""giac"")","{\left({\left(\log\left(d\right) + \log\left(x\right)\right)} \log\left(\log\left(d\right) + \log\left(x\right)\right) - \log\left(d\right) - \log\left(x\right)\right)} p + {\left(\log\left(d\right) + \log\left(x\right)\right)} \log\left(c\right)"," ",0,"((log(d) + log(x))*log(log(d) + log(x)) - log(d) - log(x))*p + (log(d) + log(x))*log(c)","A",0
57,1,36,0,0.163244," ","integrate(log(c*log(d*x^n)^p),x, algorithm=""giac"")","p x \log\left(n \log\left(x\right) + \log\left(d\right)\right) + x \log\left(c\right) - \frac{p {\rm Ei}\left(\frac{\log\left(d\right)}{n} + \log\left(x\right)\right)}{d^{\left(\frac{1}{n}\right)}}"," ",0,"p*x*log(n*log(x) + log(d)) + x*log(c) - p*Ei(log(d)/n + log(x))/d^(1/n)","A",0
58,1,43,0,0.185477," ","integrate(log(c*log(d*x^n)^p)/x,x, algorithm=""giac"")","\frac{{\left({\left(n \log\left(x\right) + \log\left(d\right)\right)} \log\left(n \log\left(x\right) + \log\left(d\right)\right) - n \log\left(x\right) - \log\left(d\right)\right)} p + {\left(n \log\left(x\right) + \log\left(d\right)\right)} \log\left(c\right)}{n}"," ",0,"(((n*log(x) + log(d))*log(n*log(x) + log(d)) - n*log(x) - log(d))*p + (n*log(x) + log(d))*log(c))/n","A",0
59,0,0,0,0.000000," ","integrate(x^m*log(d*(c*x^2+b*x)^n),x, algorithm=""giac"")","\int x^{m} \log\left({\left(c x^{2} + b x\right)}^{n} d\right)\,{d x}"," ",0,"integrate(x^m*log((c*x^2 + b*x)^n*d), x)","F",0
60,1,89,0,0.164380," ","integrate(x^4*log(d*(c*x^2+b*x)^n),x, algorithm=""giac"")","\frac{1}{5} \, n x^{5} \log\left(c x^{2} + b x\right) - \frac{1}{25} \, {\left(2 \, n - 5 \, \log\left(d\right)\right)} x^{5} + \frac{b n x^{4}}{20 \, c} - \frac{b^{2} n x^{3}}{15 \, c^{2}} + \frac{b^{3} n x^{2}}{10 \, c^{3}} - \frac{b^{4} n x}{5 \, c^{4}} + \frac{b^{5} n \log\left(c x + b\right)}{5 \, c^{5}}"," ",0,"1/5*n*x^5*log(c*x^2 + b*x) - 1/25*(2*n - 5*log(d))*x^5 + 1/20*b*n*x^4/c - 1/15*b^2*n*x^3/c^2 + 1/10*b^3*n*x^2/c^3 - 1/5*b^4*n*x/c^4 + 1/5*b^5*n*log(c*x + b)/c^5","A",0
61,1,75,0,0.186058," ","integrate(x^3*log(d*(c*x^2+b*x)^n),x, algorithm=""giac"")","\frac{1}{4} \, n x^{4} \log\left(c x^{2} + b x\right) - \frac{1}{8} \, {\left(n - 2 \, \log\left(d\right)\right)} x^{4} + \frac{b n x^{3}}{12 \, c} - \frac{b^{2} n x^{2}}{8 \, c^{2}} + \frac{b^{3} n x}{4 \, c^{3}} - \frac{b^{4} n \log\left(c x + b\right)}{4 \, c^{4}}"," ",0,"1/4*n*x^4*log(c*x^2 + b*x) - 1/8*(n - 2*log(d))*x^4 + 1/12*b*n*x^3/c - 1/8*b^2*n*x^2/c^2 + 1/4*b^3*n*x/c^3 - 1/4*b^4*n*log(c*x + b)/c^4","A",0
62,1,65,0,0.174731," ","integrate(x^2*log(d*(c*x^2+b*x)^n),x, algorithm=""giac"")","\frac{1}{3} \, n x^{3} \log\left(c x^{2} + b x\right) - \frac{1}{9} \, {\left(2 \, n - 3 \, \log\left(d\right)\right)} x^{3} + \frac{b n x^{2}}{6 \, c} - \frac{b^{2} n x}{3 \, c^{2}} + \frac{b^{3} n \log\left(c x + b\right)}{3 \, c^{3}}"," ",0,"1/3*n*x^3*log(c*x^2 + b*x) - 1/9*(2*n - 3*log(d))*x^3 + 1/6*b*n*x^2/c - 1/3*b^2*n*x/c^2 + 1/3*b^3*n*log(c*x + b)/c^3","A",0
63,1,51,0,0.179732," ","integrate(x*log(d*(c*x^2+b*x)^n),x, algorithm=""giac"")","\frac{1}{2} \, n x^{2} \log\left(c x^{2} + b x\right) - \frac{1}{2} \, {\left(n - \log\left(d\right)\right)} x^{2} + \frac{b n x}{2 \, c} - \frac{b^{2} n \log\left(c x + b\right)}{2 \, c^{2}}"," ",0,"1/2*n*x^2*log(c*x^2 + b*x) - 1/2*(n - log(d))*x^2 + 1/2*b*n*x/c - 1/2*b^2*n*log(c*x + b)/c^2","A",0
64,1,37,0,0.162545," ","integrate(log(d*(c*x^2+b*x)^n),x, algorithm=""giac"")","n x \log\left(c x^{2} + b x\right) - {\left(2 \, n - \log\left(d\right)\right)} x + \frac{b n \log\left(c x + b\right)}{c}"," ",0,"n*x*log(c*x^2 + b*x) - (2*n - log(d))*x + b*n*log(c*x + b)/c","A",0
65,0,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x)^n)/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(c x^{2} + b x\right)}^{n} d\right)}{x}\,{d x}"," ",0,"integrate(log((c*x^2 + b*x)^n*d)/x, x)","F",0
66,1,47,0,0.178034," ","integrate(log(d*(c*x^2+b*x)^n)/x^2,x, algorithm=""giac"")","-\frac{c n \log\left(c x + b\right)}{b} + \frac{c n \log\left(x\right)}{b} - \frac{n \log\left(c x^{2} + b x\right)}{x} - \frac{n + \log\left(d\right)}{x}"," ",0,"-c*n*log(c*x + b)/b + c*n*log(x)/b - n*log(c*x^2 + b*x)/x - (n + log(d))/x","A",0
67,1,65,0,0.168723," ","integrate(log(d*(c*x^2+b*x)^n)/x^3,x, algorithm=""giac"")","\frac{c^{2} n \log\left(c x + b\right)}{2 \, b^{2}} - \frac{c^{2} n \log\left(x\right)}{2 \, b^{2}} - \frac{n \log\left(c x^{2} + b x\right)}{2 \, x^{2}} - \frac{2 \, c n x + b n + 2 \, b \log\left(d\right)}{4 \, b x^{2}}"," ",0,"1/2*c^2*n*log(c*x + b)/b^2 - 1/2*c^2*n*log(x)/b^2 - 1/2*n*log(c*x^2 + b*x)/x^2 - 1/4*(2*c*n*x + b*n + 2*b*log(d))/(b*x^2)","A",0
68,1,80,0,0.163252," ","integrate(log(d*(c*x^2+b*x)^n)/x^4,x, algorithm=""giac"")","-\frac{c^{3} n \log\left(c x + b\right)}{3 \, b^{3}} + \frac{c^{3} n \log\left(x\right)}{3 \, b^{3}} - \frac{n \log\left(c x^{2} + b x\right)}{3 \, x^{3}} + \frac{6 \, c^{2} n x^{2} - 3 \, b c n x - 2 \, b^{2} n - 6 \, b^{2} \log\left(d\right)}{18 \, b^{2} x^{3}}"," ",0,"-1/3*c^3*n*log(c*x + b)/b^3 + 1/3*c^3*n*log(x)/b^3 - 1/3*n*log(c*x^2 + b*x)/x^3 + 1/18*(6*c^2*n*x^2 - 3*b*c*n*x - 2*b^2*n - 6*b^2*log(d))/(b^2*x^3)","A",0
69,1,92,0,0.162952," ","integrate(log(d*(c*x^2+b*x)^n)/x^5,x, algorithm=""giac"")","\frac{c^{4} n \log\left(c x + b\right)}{4 \, b^{4}} - \frac{c^{4} n \log\left(x\right)}{4 \, b^{4}} - \frac{n \log\left(c x^{2} + b x\right)}{4 \, x^{4}} - \frac{12 \, c^{3} n x^{3} - 6 \, b c^{2} n x^{2} + 4 \, b^{2} c n x + 3 \, b^{3} n + 12 \, b^{3} \log\left(d\right)}{48 \, b^{3} x^{4}}"," ",0,"1/4*c^4*n*log(c*x + b)/b^4 - 1/4*c^4*n*log(x)/b^4 - 1/4*n*log(c*x^2 + b*x)/x^4 - 1/48*(12*c^3*n*x^3 - 6*b*c^2*n*x^2 + 4*b^2*c*n*x + 3*b^3*n + 12*b^3*log(d))/(b^3*x^4)","A",0
70,0,0,0,0.000000," ","integrate(x^m*log(d*(c*x^2+b*x+a)^n),x, algorithm=""giac"")","\int x^{m} \log\left({\left(c x^{2} + b x + a\right)}^{n} d\right)\,{d x}"," ",0,"integrate(x^m*log((c*x^2 + b*x + a)^n*d), x)","F",0
71,1,221,0,0.203635," ","integrate(x^4*log(d*(c*x^2+b*x+a)^n),x, algorithm=""giac"")","\frac{1}{5} \, n x^{5} \log\left(c x^{2} + b x + a\right) - \frac{1}{25} \, {\left(2 \, n - 5 \, \log\left(d\right)\right)} x^{5} + \frac{b n x^{4}}{20 \, c} - \frac{{\left(b^{2} n - 2 \, a c n\right)} x^{3}}{15 \, c^{2}} + \frac{{\left(b^{3} n - 3 \, a b c n\right)} x^{2}}{10 \, c^{3}} - \frac{{\left(b^{4} n - 4 \, a b^{2} c n + 2 \, a^{2} c^{2} n\right)} x}{5 \, c^{4}} + \frac{{\left(b^{5} n - 5 \, a b^{3} c n + 5 \, a^{2} b c^{2} n\right)} \log\left(c x^{2} + b x + a\right)}{10 \, c^{5}} - \frac{{\left(b^{6} n - 7 \, a b^{4} c n + 13 \, a^{2} b^{2} c^{2} n - 4 \, a^{3} c^{3} n\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{5 \, \sqrt{-b^{2} + 4 \, a c} c^{5}}"," ",0,"1/5*n*x^5*log(c*x^2 + b*x + a) - 1/25*(2*n - 5*log(d))*x^5 + 1/20*b*n*x^4/c - 1/15*(b^2*n - 2*a*c*n)*x^3/c^2 + 1/10*(b^3*n - 3*a*b*c*n)*x^2/c^3 - 1/5*(b^4*n - 4*a*b^2*c*n + 2*a^2*c^2*n)*x/c^4 + 1/10*(b^5*n - 5*a*b^3*c*n + 5*a^2*b*c^2*n)*log(c*x^2 + b*x + a)/c^5 - 1/5*(b^6*n - 7*a*b^4*c*n + 13*a^2*b^2*c^2*n - 4*a^3*c^3*n)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*c^5)","A",0
72,1,176,0,0.204944," ","integrate(x^3*log(d*(c*x^2+b*x+a)^n),x, algorithm=""giac"")","\frac{1}{4} \, n x^{4} \log\left(c x^{2} + b x + a\right) - \frac{1}{8} \, {\left(n - 2 \, \log\left(d\right)\right)} x^{4} + \frac{b n x^{3}}{12 \, c} - \frac{{\left(b^{2} n - 2 \, a c n\right)} x^{2}}{8 \, c^{2}} + \frac{{\left(b^{3} n - 3 \, a b c n\right)} x}{4 \, c^{3}} - \frac{{\left(b^{4} n - 4 \, a b^{2} c n + 2 \, a^{2} c^{2} n\right)} \log\left(c x^{2} + b x + a\right)}{8 \, c^{4}} + \frac{{\left(b^{5} n - 6 \, a b^{3} c n + 8 \, a^{2} b c^{2} n\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{4 \, \sqrt{-b^{2} + 4 \, a c} c^{4}}"," ",0,"1/4*n*x^4*log(c*x^2 + b*x + a) - 1/8*(n - 2*log(d))*x^4 + 1/12*b*n*x^3/c - 1/8*(b^2*n - 2*a*c*n)*x^2/c^2 + 1/4*(b^3*n - 3*a*b*c*n)*x/c^3 - 1/8*(b^4*n - 4*a*b^2*c*n + 2*a^2*c^2*n)*log(c*x^2 + b*x + a)/c^4 + 1/4*(b^5*n - 6*a*b^3*c*n + 8*a^2*b*c^2*n)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*c^4)","A",0
73,1,146,0,0.269103," ","integrate(x^2*log(d*(c*x^2+b*x+a)^n),x, algorithm=""giac"")","\frac{1}{3} \, n x^{3} \log\left(c x^{2} + b x + a\right) - \frac{1}{9} \, {\left(2 \, n - 3 \, \log\left(d\right)\right)} x^{3} + \frac{b n x^{2}}{6 \, c} - \frac{{\left(b^{2} n - 2 \, a c n\right)} x}{3 \, c^{2}} + \frac{{\left(b^{3} n - 3 \, a b c n\right)} \log\left(c x^{2} + b x + a\right)}{6 \, c^{3}} - \frac{{\left(b^{4} n - 5 \, a b^{2} c n + 4 \, a^{2} c^{2} n\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{3 \, \sqrt{-b^{2} + 4 \, a c} c^{3}}"," ",0,"1/3*n*x^3*log(c*x^2 + b*x + a) - 1/9*(2*n - 3*log(d))*x^3 + 1/6*b*n*x^2/c - 1/3*(b^2*n - 2*a*c*n)*x/c^2 + 1/6*(b^3*n - 3*a*b*c*n)*log(c*x^2 + b*x + a)/c^3 - 1/3*(b^4*n - 5*a*b^2*c*n + 4*a^2*c^2*n)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*c^3)","A",0
74,1,113,0,0.269770," ","integrate(x*log(d*(c*x^2+b*x+a)^n),x, algorithm=""giac"")","\frac{1}{2} \, n x^{2} \log\left(c x^{2} + b x + a\right) - \frac{1}{2} \, {\left(n - \log\left(d\right)\right)} x^{2} + \frac{b n x}{2 \, c} - \frac{{\left(b^{2} n - 2 \, a c n\right)} \log\left(c x^{2} + b x + a\right)}{4 \, c^{2}} + \frac{{\left(b^{3} n - 4 \, a b c n\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{2 \, \sqrt{-b^{2} + 4 \, a c} c^{2}}"," ",0,"1/2*n*x^2*log(c*x^2 + b*x + a) - 1/2*(n - log(d))*x^2 + 1/2*b*n*x/c - 1/4*(b^2*n - 2*a*c*n)*log(c*x^2 + b*x + a)/c^2 + 1/2*(b^3*n - 4*a*b*c*n)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*c^2)","A",0
75,1,92,0,0.189061," ","integrate(log(d*(c*x^2+b*x+a)^n),x, algorithm=""giac"")","n x \log\left(c x^{2} + b x + a\right) - {\left(2 \, n - \log\left(d\right)\right)} x + \frac{b n \log\left(c x^{2} + b x + a\right)}{2 \, c} - \frac{{\left(b^{2} n - 4 \, a c n\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{\sqrt{-b^{2} + 4 \, a c} c}"," ",0,"n*x*log(c*x^2 + b*x + a) - (2*n - log(d))*x + 1/2*b*n*log(c*x^2 + b*x + a)/c - (b^2*n - 4*a*c*n)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*c)","A",0
76,0,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(c x^{2} + b x + a\right)}^{n} d\right)}{x}\,{d x}"," ",0,"integrate(log((c*x^2 + b*x + a)^n*d)/x, x)","F",0
77,1,99,0,0.194676," ","integrate(log(d*(c*x^2+b*x+a)^n)/x^2,x, algorithm=""giac"")","-\frac{b n \log\left(c x^{2} + b x + a\right)}{2 \, a} + \frac{b n \log\left(x\right)}{a} - \frac{n \log\left(c x^{2} + b x + a\right)}{x} - \frac{{\left(b^{2} n - 4 \, a c n\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{\sqrt{-b^{2} + 4 \, a c} a} - \frac{\log\left(d\right)}{x}"," ",0,"-1/2*b*n*log(c*x^2 + b*x + a)/a + b*n*log(x)/a - n*log(c*x^2 + b*x + a)/x - (b^2*n - 4*a*c*n)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*a) - log(d)/x","A",0
78,1,129,0,0.201638," ","integrate(log(d*(c*x^2+b*x+a)^n)/x^3,x, algorithm=""giac"")","\frac{{\left(b^{2} n - 2 \, a c n\right)} \log\left(c x^{2} + b x + a\right)}{4 \, a^{2}} - \frac{n \log\left(c x^{2} + b x + a\right)}{2 \, x^{2}} - \frac{{\left(b^{2} n - 2 \, a c n\right)} \log\left(x\right)}{2 \, a^{2}} + \frac{{\left(b^{3} n - 4 \, a b c n\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{2 \, \sqrt{-b^{2} + 4 \, a c} a^{2}} - \frac{b n x + a \log\left(d\right)}{2 \, a x^{2}}"," ",0,"1/4*(b^2*n - 2*a*c*n)*log(c*x^2 + b*x + a)/a^2 - 1/2*n*log(c*x^2 + b*x + a)/x^2 - 1/2*(b^2*n - 2*a*c*n)*log(x)/a^2 + 1/2*(b^3*n - 4*a*b*c*n)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*a^2) - 1/2*(b*n*x + a*log(d))/(a*x^2)","A",0
79,1,164,0,0.248809," ","integrate(log(d*(c*x^2+b*x+a)^n)/x^4,x, algorithm=""giac"")","-\frac{{\left(b^{3} n - 3 \, a b c n\right)} \log\left(c x^{2} + b x + a\right)}{6 \, a^{3}} - \frac{n \log\left(c x^{2} + b x + a\right)}{3 \, x^{3}} + \frac{{\left(b^{3} n - 3 \, a b c n\right)} \log\left(x\right)}{3 \, a^{3}} - \frac{{\left(b^{4} n - 5 \, a b^{2} c n + 4 \, a^{2} c^{2} n\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{3 \, \sqrt{-b^{2} + 4 \, a c} a^{3}} + \frac{2 \, b^{2} n x^{2} - 4 \, a c n x^{2} - a b n x - 2 \, a^{2} \log\left(d\right)}{6 \, a^{2} x^{3}}"," ",0,"-1/6*(b^3*n - 3*a*b*c*n)*log(c*x^2 + b*x + a)/a^3 - 1/3*n*log(c*x^2 + b*x + a)/x^3 + 1/3*(b^3*n - 3*a*b*c*n)*log(x)/a^3 - 1/3*(b^4*n - 5*a*b^2*c*n + 4*a^2*c^2*n)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*a^3) + 1/6*(2*b^2*n*x^2 - 4*a*c*n*x^2 - a*b*n*x - 2*a^2*log(d))/(a^2*x^3)","A",0
80,1,210,0,0.207421," ","integrate(log(d*(c*x^2+b*x+a)^n)/x^5,x, algorithm=""giac"")","\frac{{\left(b^{4} n - 4 \, a b^{2} c n + 2 \, a^{2} c^{2} n\right)} \log\left(c x^{2} + b x + a\right)}{8 \, a^{4}} - \frac{n \log\left(c x^{2} + b x + a\right)}{4 \, x^{4}} - \frac{{\left(b^{4} n - 4 \, a b^{2} c n + 2 \, a^{2} c^{2} n\right)} \log\left(x\right)}{4 \, a^{4}} + \frac{{\left(b^{5} n - 6 \, a b^{3} c n + 8 \, a^{2} b c^{2} n\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{4 \, \sqrt{-b^{2} + 4 \, a c} a^{4}} - \frac{6 \, b^{3} n x^{3} - 18 \, a b c n x^{3} - 3 \, a b^{2} n x^{2} + 6 \, a^{2} c n x^{2} + 2 \, a^{2} b n x + 6 \, a^{3} \log\left(d\right)}{24 \, a^{3} x^{4}}"," ",0,"1/8*(b^4*n - 4*a*b^2*c*n + 2*a^2*c^2*n)*log(c*x^2 + b*x + a)/a^4 - 1/4*n*log(c*x^2 + b*x + a)/x^4 - 1/4*(b^4*n - 4*a*b^2*c*n + 2*a^2*c^2*n)*log(x)/a^4 + 1/4*(b^5*n - 6*a*b^3*c*n + 8*a^2*b*c^2*n)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*a^4) - 1/24*(6*b^3*n*x^3 - 18*a*b*c*n*x^3 - 3*a*b^2*n*x^2 + 6*a^2*c*n*x^2 + 2*a^2*b*n*x + 6*a^3*log(d))/(a^3*x^4)","A",0
81,1,37,0,0.165804," ","integrate(log(x^2+x+1),x, algorithm=""giac"")","x \log\left(x^{2} + x + 1\right) + \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 2 \, x + \frac{1}{2} \, \log\left(x^{2} + x + 1\right)"," ",0,"x*log(x^2 + x + 1) + sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 2*x + 1/2*log(x^2 + x + 1)","A",0
82,1,817,0,0.256977," ","integrate((e*x+d)^4*log(d*(c*x^2+b*x+a)^n),x, algorithm=""giac"")","\frac{60 \, c^{4} n x^{5} e^{4} \log\left(c x^{2} + b x + a\right) + 300 \, c^{4} d n x^{4} e^{3} \log\left(c x^{2} + b x + a\right) + 600 \, c^{4} d^{2} n x^{3} e^{2} \log\left(c x^{2} + b x + a\right) + 600 \, c^{4} d^{3} n x^{2} e \log\left(c x^{2} + b x + a\right) - 24 \, c^{4} n x^{5} e^{4} - 150 \, c^{4} d n x^{4} e^{3} - 400 \, c^{4} d^{2} n x^{3} e^{2} - 600 \, c^{4} d^{3} n x^{2} e + 300 \, c^{4} d^{4} n x \log\left(c x^{2} + b x + a\right) + 60 \, c^{4} x^{5} e^{4} \log\left(d\right) + 300 \, c^{4} d x^{4} e^{3} \log\left(d\right) + 600 \, c^{4} d^{2} x^{3} e^{2} \log\left(d\right) + 600 \, c^{4} d^{3} x^{2} e \log\left(d\right) - 600 \, c^{4} d^{4} n x + 15 \, b c^{3} n x^{4} e^{4} + 100 \, b c^{3} d n x^{3} e^{3} + 300 \, b c^{3} d^{2} n x^{2} e^{2} + 600 \, b c^{3} d^{3} n x e + 300 \, c^{4} d^{4} x \log\left(d\right) - 20 \, b^{2} c^{2} n x^{3} e^{4} + 40 \, a c^{3} n x^{3} e^{4} - 150 \, b^{2} c^{2} d n x^{2} e^{3} + 300 \, a c^{3} d n x^{2} e^{3} - 600 \, b^{2} c^{2} d^{2} n x e^{2} + 1200 \, a c^{3} d^{2} n x e^{2} + 30 \, b^{3} c n x^{2} e^{4} - 90 \, a b c^{2} n x^{2} e^{4} + 300 \, b^{3} c d n x e^{3} - 900 \, a b c^{2} d n x e^{3} - 60 \, b^{4} n x e^{4} + 240 \, a b^{2} c n x e^{4} - 120 \, a^{2} c^{2} n x e^{4}}{300 \, c^{4}} + \frac{{\left(5 \, b c^{4} d^{4} n - 10 \, b^{2} c^{3} d^{3} n e + 20 \, a c^{4} d^{3} n e + 10 \, b^{3} c^{2} d^{2} n e^{2} - 30 \, a b c^{3} d^{2} n e^{2} - 5 \, b^{4} c d n e^{3} + 20 \, a b^{2} c^{2} d n e^{3} - 10 \, a^{2} c^{3} d n e^{3} + b^{5} n e^{4} - 5 \, a b^{3} c n e^{4} + 5 \, a^{2} b c^{2} n e^{4}\right)} \log\left(c x^{2} + b x + a\right)}{10 \, c^{5}} - \frac{{\left(5 \, b^{2} c^{4} d^{4} n - 20 \, a c^{5} d^{4} n - 10 \, b^{3} c^{3} d^{3} n e + 40 \, a b c^{4} d^{3} n e + 10 \, b^{4} c^{2} d^{2} n e^{2} - 50 \, a b^{2} c^{3} d^{2} n e^{2} + 40 \, a^{2} c^{4} d^{2} n e^{2} - 5 \, b^{5} c d n e^{3} + 30 \, a b^{3} c^{2} d n e^{3} - 40 \, a^{2} b c^{3} d n e^{3} + b^{6} n e^{4} - 7 \, a b^{4} c n e^{4} + 13 \, a^{2} b^{2} c^{2} n e^{4} - 4 \, a^{3} c^{3} n e^{4}\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{5 \, \sqrt{-b^{2} + 4 \, a c} c^{5}}"," ",0,"1/300*(60*c^4*n*x^5*e^4*log(c*x^2 + b*x + a) + 300*c^4*d*n*x^4*e^3*log(c*x^2 + b*x + a) + 600*c^4*d^2*n*x^3*e^2*log(c*x^2 + b*x + a) + 600*c^4*d^3*n*x^2*e*log(c*x^2 + b*x + a) - 24*c^4*n*x^5*e^4 - 150*c^4*d*n*x^4*e^3 - 400*c^4*d^2*n*x^3*e^2 - 600*c^4*d^3*n*x^2*e + 300*c^4*d^4*n*x*log(c*x^2 + b*x + a) + 60*c^4*x^5*e^4*log(d) + 300*c^4*d*x^4*e^3*log(d) + 600*c^4*d^2*x^3*e^2*log(d) + 600*c^4*d^3*x^2*e*log(d) - 600*c^4*d^4*n*x + 15*b*c^3*n*x^4*e^4 + 100*b*c^3*d*n*x^3*e^3 + 300*b*c^3*d^2*n*x^2*e^2 + 600*b*c^3*d^3*n*x*e + 300*c^4*d^4*x*log(d) - 20*b^2*c^2*n*x^3*e^4 + 40*a*c^3*n*x^3*e^4 - 150*b^2*c^2*d*n*x^2*e^3 + 300*a*c^3*d*n*x^2*e^3 - 600*b^2*c^2*d^2*n*x*e^2 + 1200*a*c^3*d^2*n*x*e^2 + 30*b^3*c*n*x^2*e^4 - 90*a*b*c^2*n*x^2*e^4 + 300*b^3*c*d*n*x*e^3 - 900*a*b*c^2*d*n*x*e^3 - 60*b^4*n*x*e^4 + 240*a*b^2*c*n*x*e^4 - 120*a^2*c^2*n*x*e^4)/c^4 + 1/10*(5*b*c^4*d^4*n - 10*b^2*c^3*d^3*n*e + 20*a*c^4*d^3*n*e + 10*b^3*c^2*d^2*n*e^2 - 30*a*b*c^3*d^2*n*e^2 - 5*b^4*c*d*n*e^3 + 20*a*b^2*c^2*d*n*e^3 - 10*a^2*c^3*d*n*e^3 + b^5*n*e^4 - 5*a*b^3*c*n*e^4 + 5*a^2*b*c^2*n*e^4)*log(c*x^2 + b*x + a)/c^5 - 1/5*(5*b^2*c^4*d^4*n - 20*a*c^5*d^4*n - 10*b^3*c^3*d^3*n*e + 40*a*b*c^4*d^3*n*e + 10*b^4*c^2*d^2*n*e^2 - 50*a*b^2*c^3*d^2*n*e^2 + 40*a^2*c^4*d^2*n*e^2 - 5*b^5*c*d*n*e^3 + 30*a*b^3*c^2*d*n*e^3 - 40*a^2*b*c^3*d*n*e^3 + b^6*n*e^4 - 7*a*b^4*c*n*e^4 + 13*a^2*b^2*c^2*n*e^4 - 4*a^3*c^3*n*e^4)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*c^5)","A",0
83,1,553,0,0.245286," ","integrate((e*x+d)^3*log(d*(c*x^2+b*x+a)^n),x, algorithm=""giac"")","\frac{6 \, c^{3} n x^{4} e^{3} \log\left(c x^{2} + b x + a\right) + 24 \, c^{3} d n x^{3} e^{2} \log\left(c x^{2} + b x + a\right) + 36 \, c^{3} d^{2} n x^{2} e \log\left(c x^{2} + b x + a\right) - 3 \, c^{3} n x^{4} e^{3} - 16 \, c^{3} d n x^{3} e^{2} - 36 \, c^{3} d^{2} n x^{2} e + 24 \, c^{3} d^{3} n x \log\left(c x^{2} + b x + a\right) + 6 \, c^{3} x^{4} e^{3} \log\left(d\right) + 24 \, c^{3} d x^{3} e^{2} \log\left(d\right) + 36 \, c^{3} d^{2} x^{2} e \log\left(d\right) - 48 \, c^{3} d^{3} n x + 2 \, b c^{2} n x^{3} e^{3} + 12 \, b c^{2} d n x^{2} e^{2} + 36 \, b c^{2} d^{2} n x e + 24 \, c^{3} d^{3} x \log\left(d\right) - 3 \, b^{2} c n x^{2} e^{3} + 6 \, a c^{2} n x^{2} e^{3} - 24 \, b^{2} c d n x e^{2} + 48 \, a c^{2} d n x e^{2} + 6 \, b^{3} n x e^{3} - 18 \, a b c n x e^{3}}{24 \, c^{3}} + \frac{{\left(4 \, b c^{3} d^{3} n - 6 \, b^{2} c^{2} d^{2} n e + 12 \, a c^{3} d^{2} n e + 4 \, b^{3} c d n e^{2} - 12 \, a b c^{2} d n e^{2} - b^{4} n e^{3} + 4 \, a b^{2} c n e^{3} - 2 \, a^{2} c^{2} n e^{3}\right)} \log\left(c x^{2} + b x + a\right)}{8 \, c^{4}} - \frac{{\left(4 \, b^{2} c^{3} d^{3} n - 16 \, a c^{4} d^{3} n - 6 \, b^{3} c^{2} d^{2} n e + 24 \, a b c^{3} d^{2} n e + 4 \, b^{4} c d n e^{2} - 20 \, a b^{2} c^{2} d n e^{2} + 16 \, a^{2} c^{3} d n e^{2} - b^{5} n e^{3} + 6 \, a b^{3} c n e^{3} - 8 \, a^{2} b c^{2} n e^{3}\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{4 \, \sqrt{-b^{2} + 4 \, a c} c^{4}}"," ",0,"1/24*(6*c^3*n*x^4*e^3*log(c*x^2 + b*x + a) + 24*c^3*d*n*x^3*e^2*log(c*x^2 + b*x + a) + 36*c^3*d^2*n*x^2*e*log(c*x^2 + b*x + a) - 3*c^3*n*x^4*e^3 - 16*c^3*d*n*x^3*e^2 - 36*c^3*d^2*n*x^2*e + 24*c^3*d^3*n*x*log(c*x^2 + b*x + a) + 6*c^3*x^4*e^3*log(d) + 24*c^3*d*x^3*e^2*log(d) + 36*c^3*d^2*x^2*e*log(d) - 48*c^3*d^3*n*x + 2*b*c^2*n*x^3*e^3 + 12*b*c^2*d*n*x^2*e^2 + 36*b*c^2*d^2*n*x*e + 24*c^3*d^3*x*log(d) - 3*b^2*c*n*x^2*e^3 + 6*a*c^2*n*x^2*e^3 - 24*b^2*c*d*n*x*e^2 + 48*a*c^2*d*n*x*e^2 + 6*b^3*n*x*e^3 - 18*a*b*c*n*x*e^3)/c^3 + 1/8*(4*b*c^3*d^3*n - 6*b^2*c^2*d^2*n*e + 12*a*c^3*d^2*n*e + 4*b^3*c*d*n*e^2 - 12*a*b*c^2*d*n*e^2 - b^4*n*e^3 + 4*a*b^2*c*n*e^3 - 2*a^2*c^2*n*e^3)*log(c*x^2 + b*x + a)/c^4 - 1/4*(4*b^2*c^3*d^3*n - 16*a*c^4*d^3*n - 6*b^3*c^2*d^2*n*e + 24*a*b*c^3*d^2*n*e + 4*b^4*c*d*n*e^2 - 20*a*b^2*c^2*d*n*e^2 + 16*a^2*c^3*d*n*e^2 - b^5*n*e^3 + 6*a*b^3*c*n*e^3 - 8*a^2*b*c^2*n*e^3)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*c^4)","A",0
84,1,349,0,0.213598," ","integrate((e*x+d)^2*log(d*(c*x^2+b*x+a)^n),x, algorithm=""giac"")","\frac{6 \, c^{2} n x^{3} e^{2} \log\left(c x^{2} + b x + a\right) + 18 \, c^{2} d n x^{2} e \log\left(c x^{2} + b x + a\right) - 4 \, c^{2} n x^{3} e^{2} - 18 \, c^{2} d n x^{2} e + 18 \, c^{2} d^{2} n x \log\left(c x^{2} + b x + a\right) + 6 \, c^{2} x^{3} e^{2} \log\left(d\right) + 18 \, c^{2} d x^{2} e \log\left(d\right) - 36 \, c^{2} d^{2} n x + 3 \, b c n x^{2} e^{2} + 18 \, b c d n x e + 18 \, c^{2} d^{2} x \log\left(d\right) - 6 \, b^{2} n x e^{2} + 12 \, a c n x e^{2}}{18 \, c^{2}} + \frac{{\left(3 \, b c^{2} d^{2} n - 3 \, b^{2} c d n e + 6 \, a c^{2} d n e + b^{3} n e^{2} - 3 \, a b c n e^{2}\right)} \log\left(c x^{2} + b x + a\right)}{6 \, c^{3}} - \frac{{\left(3 \, b^{2} c^{2} d^{2} n - 12 \, a c^{3} d^{2} n - 3 \, b^{3} c d n e + 12 \, a b c^{2} d n e + b^{4} n e^{2} - 5 \, a b^{2} c n e^{2} + 4 \, a^{2} c^{2} n e^{2}\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{3 \, \sqrt{-b^{2} + 4 \, a c} c^{3}}"," ",0,"1/18*(6*c^2*n*x^3*e^2*log(c*x^2 + b*x + a) + 18*c^2*d*n*x^2*e*log(c*x^2 + b*x + a) - 4*c^2*n*x^3*e^2 - 18*c^2*d*n*x^2*e + 18*c^2*d^2*n*x*log(c*x^2 + b*x + a) + 6*c^2*x^3*e^2*log(d) + 18*c^2*d*x^2*e*log(d) - 36*c^2*d^2*n*x + 3*b*c*n*x^2*e^2 + 18*b*c*d*n*x*e + 18*c^2*d^2*x*log(d) - 6*b^2*n*x*e^2 + 12*a*c*n*x*e^2)/c^2 + 1/6*(3*b*c^2*d^2*n - 3*b^2*c*d*n*e + 6*a*c^2*d*n*e + b^3*n*e^2 - 3*a*b*c*n*e^2)*log(c*x^2 + b*x + a)/c^3 - 1/3*(3*b^2*c^2*d^2*n - 12*a*c^3*d^2*n - 3*b^3*c*d*n*e + 12*a*b*c^2*d*n*e + b^4*n*e^2 - 5*a*b^2*c*n*e^2 + 4*a^2*c^2*n*e^2)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*c^3)","A",0
85,1,188,0,0.197561," ","integrate((e*x+d)*log(d*(c*x^2+b*x+a)^n),x, algorithm=""giac"")","\frac{c n x^{2} e \log\left(c x^{2} + b x + a\right) - c n x^{2} e + 2 \, c d n x \log\left(c x^{2} + b x + a\right) + c x^{2} e \log\left(d\right) - 4 \, c d n x + b n x e + 2 \, c d x \log\left(d\right)}{2 \, c} + \frac{{\left(2 \, b c d n - b^{2} n e + 2 \, a c n e\right)} \log\left(c x^{2} + b x + a\right)}{4 \, c^{2}} - \frac{{\left(2 \, b^{2} c d n - 8 \, a c^{2} d n - b^{3} n e + 4 \, a b c n e\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{2 \, \sqrt{-b^{2} + 4 \, a c} c^{2}}"," ",0,"1/2*(c*n*x^2*e*log(c*x^2 + b*x + a) - c*n*x^2*e + 2*c*d*n*x*log(c*x^2 + b*x + a) + c*x^2*e*log(d) - 4*c*d*n*x + b*n*x*e + 2*c*d*x*log(d))/c + 1/4*(2*b*c*d*n - b^2*n*e + 2*a*c*n*e)*log(c*x^2 + b*x + a)/c^2 - 1/2*(2*b^2*c*d*n - 8*a*c^2*d*n - b^3*n*e + 4*a*b*c*n*e)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*c^2)","A",0
86,1,92,0,0.189696," ","integrate(log(d*(c*x^2+b*x+a)^n),x, algorithm=""giac"")","n x \log\left(c x^{2} + b x + a\right) - {\left(2 \, n - \log\left(d\right)\right)} x + \frac{b n \log\left(c x^{2} + b x + a\right)}{2 \, c} - \frac{{\left(b^{2} n - 4 \, a c n\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{\sqrt{-b^{2} + 4 \, a c} c}"," ",0,"n*x*log(c*x^2 + b*x + a) - (2*n - log(d))*x + 1/2*b*n*log(c*x^2 + b*x + a)/c - (b^2*n - 4*a*c*n)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*c)","A",0
87,0,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(c x^{2} + b x + a\right)}^{n} d\right)}{e x + d}\,{d x}"," ",0,"integrate(log((c*x^2 + b*x + a)^n*d)/(e*x + d), x)","F",0
88,1,284,0,0.238676," ","integrate(log(d*(c*x^2+b*x+a)^n)/(e*x+d)^2,x, algorithm=""giac"")","\frac{{\left(2 \, c d n - b n e\right)} \log\left(c x^{2} + b x + a\right)}{2 \, {\left(c d^{2} e - b d e^{2} + a e^{3}\right)}} - \frac{{\left(b^{2} n - 4 \, a c n\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{{\left(c d^{2} - b d e + a e^{2}\right)} \sqrt{-b^{2} + 4 \, a c}} - \frac{2 \, c d n x e \log\left(x e + d\right) + c d^{2} n \log\left(c x^{2} + b x + a\right) - b d n e \log\left(c x^{2} + b x + a\right) + 2 \, c d^{2} n \log\left(x e + d\right) - b n x e^{2} \log\left(x e + d\right) - b d n e \log\left(x e + d\right) + a n e^{2} \log\left(c x^{2} + b x + a\right) + c d^{2} \log\left(d\right) - b d e \log\left(d\right) + a e^{2} \log\left(d\right)}{c d^{2} x e^{2} + c d^{3} e - b d x e^{3} - b d^{2} e^{2} + a x e^{4} + a d e^{3}}"," ",0,"1/2*(2*c*d*n - b*n*e)*log(c*x^2 + b*x + a)/(c*d^2*e - b*d*e^2 + a*e^3) - (b^2*n - 4*a*c*n)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/((c*d^2 - b*d*e + a*e^2)*sqrt(-b^2 + 4*a*c)) - (2*c*d*n*x*e*log(x*e + d) + c*d^2*n*log(c*x^2 + b*x + a) - b*d*n*e*log(c*x^2 + b*x + a) + 2*c*d^2*n*log(x*e + d) - b*n*x*e^2*log(x*e + d) - b*d*n*e*log(x*e + d) + a*n*e^2*log(c*x^2 + b*x + a) + c*d^2*log(d) - b*d*e*log(d) + a*e^2*log(d))/(c*d^2*x*e^2 + c*d^3*e - b*d*x*e^3 - b*d^2*e^2 + a*x*e^4 + a*d*e^3)","A",0
89,1,887,0,0.353482," ","integrate(log(d*(c*x^2+b*x+a)^n)/(e*x+d)^3,x, algorithm=""giac"")","\frac{{\left(2 \, c^{2} d^{2} n - 2 \, b c d n e + b^{2} n e^{2} - 2 \, a c n e^{2}\right)} \log\left(c x^{2} + b x + a\right)}{4 \, {\left(c^{2} d^{4} e - 2 \, b c d^{3} e^{2} + b^{2} d^{2} e^{3} + 2 \, a c d^{2} e^{3} - 2 \, a b d e^{4} + a^{2} e^{5}\right)}} - \frac{{\left(2 \, b^{2} c d n - 8 \, a c^{2} d n - b^{3} n e + 4 \, a b c n e\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{2 \, {\left(c^{2} d^{4} - 2 \, b c d^{3} e + b^{2} d^{2} e^{2} + 2 \, a c d^{2} e^{2} - 2 \, a b d e^{3} + a^{2} e^{4}\right)} \sqrt{-b^{2} + 4 \, a c}} - \frac{2 \, c^{2} d^{2} n x^{2} e^{2} \log\left(x e + d\right) + 4 \, c^{2} d^{3} n x e \log\left(x e + d\right) - 2 \, c^{2} d^{3} n x e + c^{2} d^{4} n \log\left(c x^{2} + b x + a\right) - 2 \, b c d^{3} n e \log\left(c x^{2} + b x + a\right) + 2 \, c^{2} d^{4} n \log\left(x e + d\right) - 2 \, b c d n x^{2} e^{3} \log\left(x e + d\right) - 4 \, b c d^{2} n x e^{2} \log\left(x e + d\right) - 2 \, b c d^{3} n e \log\left(x e + d\right) - 2 \, c^{2} d^{4} n + 3 \, b c d^{2} n x e^{2} + 3 \, b c d^{3} n e + b^{2} d^{2} n e^{2} \log\left(c x^{2} + b x + a\right) + 2 \, a c d^{2} n e^{2} \log\left(c x^{2} + b x + a\right) + b^{2} n x^{2} e^{4} \log\left(x e + d\right) - 2 \, a c n x^{2} e^{4} \log\left(x e + d\right) + 2 \, b^{2} d n x e^{3} \log\left(x e + d\right) - 4 \, a c d n x e^{3} \log\left(x e + d\right) + b^{2} d^{2} n e^{2} \log\left(x e + d\right) - 2 \, a c d^{2} n e^{2} \log\left(x e + d\right) + c^{2} d^{4} \log\left(d\right) - 2 \, b c d^{3} e \log\left(d\right) - b^{2} d n x e^{3} - 2 \, a c d n x e^{3} - b^{2} d^{2} n e^{2} - 2 \, a c d^{2} n e^{2} - 2 \, a b d n e^{3} \log\left(c x^{2} + b x + a\right) + b^{2} d^{2} e^{2} \log\left(d\right) + 2 \, a c d^{2} e^{2} \log\left(d\right) + a b n x e^{4} + a b d n e^{3} + a^{2} n e^{4} \log\left(c x^{2} + b x + a\right) - 2 \, a b d e^{3} \log\left(d\right) + a^{2} e^{4} \log\left(d\right)}{2 \, {\left(c^{2} d^{4} x^{2} e^{3} + 2 \, c^{2} d^{5} x e^{2} + c^{2} d^{6} e - 2 \, b c d^{3} x^{2} e^{4} - 4 \, b c d^{4} x e^{3} - 2 \, b c d^{5} e^{2} + b^{2} d^{2} x^{2} e^{5} + 2 \, a c d^{2} x^{2} e^{5} + 2 \, b^{2} d^{3} x e^{4} + 4 \, a c d^{3} x e^{4} + b^{2} d^{4} e^{3} + 2 \, a c d^{4} e^{3} - 2 \, a b d x^{2} e^{6} - 4 \, a b d^{2} x e^{5} - 2 \, a b d^{3} e^{4} + a^{2} x^{2} e^{7} + 2 \, a^{2} d x e^{6} + a^{2} d^{2} e^{5}\right)}}"," ",0,"1/4*(2*c^2*d^2*n - 2*b*c*d*n*e + b^2*n*e^2 - 2*a*c*n*e^2)*log(c*x^2 + b*x + a)/(c^2*d^4*e - 2*b*c*d^3*e^2 + b^2*d^2*e^3 + 2*a*c*d^2*e^3 - 2*a*b*d*e^4 + a^2*e^5) - 1/2*(2*b^2*c*d*n - 8*a*c^2*d*n - b^3*n*e + 4*a*b*c*n*e)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/((c^2*d^4 - 2*b*c*d^3*e + b^2*d^2*e^2 + 2*a*c*d^2*e^2 - 2*a*b*d*e^3 + a^2*e^4)*sqrt(-b^2 + 4*a*c)) - 1/2*(2*c^2*d^2*n*x^2*e^2*log(x*e + d) + 4*c^2*d^3*n*x*e*log(x*e + d) - 2*c^2*d^3*n*x*e + c^2*d^4*n*log(c*x^2 + b*x + a) - 2*b*c*d^3*n*e*log(c*x^2 + b*x + a) + 2*c^2*d^4*n*log(x*e + d) - 2*b*c*d*n*x^2*e^3*log(x*e + d) - 4*b*c*d^2*n*x*e^2*log(x*e + d) - 2*b*c*d^3*n*e*log(x*e + d) - 2*c^2*d^4*n + 3*b*c*d^2*n*x*e^2 + 3*b*c*d^3*n*e + b^2*d^2*n*e^2*log(c*x^2 + b*x + a) + 2*a*c*d^2*n*e^2*log(c*x^2 + b*x + a) + b^2*n*x^2*e^4*log(x*e + d) - 2*a*c*n*x^2*e^4*log(x*e + d) + 2*b^2*d*n*x*e^3*log(x*e + d) - 4*a*c*d*n*x*e^3*log(x*e + d) + b^2*d^2*n*e^2*log(x*e + d) - 2*a*c*d^2*n*e^2*log(x*e + d) + c^2*d^4*log(d) - 2*b*c*d^3*e*log(d) - b^2*d*n*x*e^3 - 2*a*c*d*n*x*e^3 - b^2*d^2*n*e^2 - 2*a*c*d^2*n*e^2 - 2*a*b*d*n*e^3*log(c*x^2 + b*x + a) + b^2*d^2*e^2*log(d) + 2*a*c*d^2*e^2*log(d) + a*b*n*x*e^4 + a*b*d*n*e^3 + a^2*n*e^4*log(c*x^2 + b*x + a) - 2*a*b*d*e^3*log(d) + a^2*e^4*log(d))/(c^2*d^4*x^2*e^3 + 2*c^2*d^5*x*e^2 + c^2*d^6*e - 2*b*c*d^3*x^2*e^4 - 4*b*c*d^4*x*e^3 - 2*b*c*d^5*e^2 + b^2*d^2*x^2*e^5 + 2*a*c*d^2*x^2*e^5 + 2*b^2*d^3*x*e^4 + 4*a*c*d^3*x*e^4 + b^2*d^4*e^3 + 2*a*c*d^4*e^3 - 2*a*b*d*x^2*e^6 - 4*a*b*d^2*x*e^5 - 2*a*b*d^3*e^4 + a^2*x^2*e^7 + 2*a^2*d*x*e^6 + a^2*d^2*e^5)","B",0
90,1,1963,0,0.606403," ","integrate(log(d*(c*x^2+b*x+a)^n)/(e*x+d)^4,x, algorithm=""giac"")","\frac{{\left(2 \, c^{3} d^{3} n - 3 \, b c^{2} d^{2} n e + 3 \, b^{2} c d n e^{2} - 6 \, a c^{2} d n e^{2} - b^{3} n e^{3} + 3 \, a b c n e^{3}\right)} \log\left(c x^{2} + b x + a\right)}{6 \, {\left(c^{3} d^{6} e - 3 \, b c^{2} d^{5} e^{2} + 3 \, b^{2} c d^{4} e^{3} + 3 \, a c^{2} d^{4} e^{3} - b^{3} d^{3} e^{4} - 6 \, a b c d^{3} e^{4} + 3 \, a b^{2} d^{2} e^{5} + 3 \, a^{2} c d^{2} e^{5} - 3 \, a^{2} b d e^{6} + a^{3} e^{7}\right)}} - \frac{{\left(3 \, b^{2} c^{2} d^{2} n - 12 \, a c^{3} d^{2} n - 3 \, b^{3} c d n e + 12 \, a b c^{2} d n e + b^{4} n e^{2} - 5 \, a b^{2} c n e^{2} + 4 \, a^{2} c^{2} n e^{2}\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{3 \, {\left(c^{3} d^{6} - 3 \, b c^{2} d^{5} e + 3 \, b^{2} c d^{4} e^{2} + 3 \, a c^{2} d^{4} e^{2} - b^{3} d^{3} e^{3} - 6 \, a b c d^{3} e^{3} + 3 \, a b^{2} d^{2} e^{4} + 3 \, a^{2} c d^{2} e^{4} - 3 \, a^{2} b d e^{5} + a^{3} e^{6}\right)} \sqrt{-b^{2} + 4 \, a c}} - \frac{4 \, c^{3} d^{3} n x^{3} e^{3} \log\left(x e + d\right) + 12 \, c^{3} d^{4} n x^{2} e^{2} \log\left(x e + d\right) + 12 \, c^{3} d^{5} n x e \log\left(x e + d\right) - 4 \, c^{3} d^{4} n x^{2} e^{2} - 10 \, c^{3} d^{5} n x e + 2 \, c^{3} d^{6} n \log\left(c x^{2} + b x + a\right) - 6 \, b c^{2} d^{5} n e \log\left(c x^{2} + b x + a\right) + 4 \, c^{3} d^{6} n \log\left(x e + d\right) - 6 \, b c^{2} d^{2} n x^{3} e^{4} \log\left(x e + d\right) - 18 \, b c^{2} d^{3} n x^{2} e^{3} \log\left(x e + d\right) - 18 \, b c^{2} d^{4} n x e^{2} \log\left(x e + d\right) - 6 \, b c^{2} d^{5} n e \log\left(x e + d\right) - 6 \, c^{3} d^{6} n + 8 \, b c^{2} d^{3} n x^{2} e^{3} + 21 \, b c^{2} d^{4} n x e^{2} + 13 \, b c^{2} d^{5} n e + 6 \, b^{2} c d^{4} n e^{2} \log\left(c x^{2} + b x + a\right) + 6 \, a c^{2} d^{4} n e^{2} \log\left(c x^{2} + b x + a\right) + 6 \, b^{2} c d n x^{3} e^{5} \log\left(x e + d\right) - 12 \, a c^{2} d n x^{3} e^{5} \log\left(x e + d\right) + 18 \, b^{2} c d^{2} n x^{2} e^{4} \log\left(x e + d\right) - 36 \, a c^{2} d^{2} n x^{2} e^{4} \log\left(x e + d\right) + 18 \, b^{2} c d^{3} n x e^{3} \log\left(x e + d\right) - 36 \, a c^{2} d^{3} n x e^{3} \log\left(x e + d\right) + 6 \, b^{2} c d^{4} n e^{2} \log\left(x e + d\right) - 12 \, a c^{2} d^{4} n e^{2} \log\left(x e + d\right) + 2 \, c^{3} d^{6} \log\left(d\right) - 6 \, b c^{2} d^{5} e \log\left(d\right) - 6 \, b^{2} c d^{2} n x^{2} e^{4} - 16 \, b^{2} c d^{3} n x e^{3} - 4 \, a c^{2} d^{3} n x e^{3} - 10 \, b^{2} c d^{4} n e^{2} - 4 \, a c^{2} d^{4} n e^{2} - 2 \, b^{3} d^{3} n e^{3} \log\left(c x^{2} + b x + a\right) - 12 \, a b c d^{3} n e^{3} \log\left(c x^{2} + b x + a\right) - 2 \, b^{3} n x^{3} e^{6} \log\left(x e + d\right) + 6 \, a b c n x^{3} e^{6} \log\left(x e + d\right) - 6 \, b^{3} d n x^{2} e^{5} \log\left(x e + d\right) + 18 \, a b c d n x^{2} e^{5} \log\left(x e + d\right) - 6 \, b^{3} d^{2} n x e^{4} \log\left(x e + d\right) + 18 \, a b c d^{2} n x e^{4} \log\left(x e + d\right) - 2 \, b^{3} d^{3} n e^{3} \log\left(x e + d\right) + 6 \, a b c d^{3} n e^{3} \log\left(x e + d\right) + 6 \, b^{2} c d^{4} e^{2} \log\left(d\right) + 6 \, a c^{2} d^{4} e^{2} \log\left(d\right) + 2 \, b^{3} d n x^{2} e^{5} + 5 \, b^{3} d^{2} n x e^{4} + 6 \, a b c d^{2} n x e^{4} + 3 \, b^{3} d^{3} n e^{3} + 6 \, a b c d^{3} n e^{3} + 6 \, a b^{2} d^{2} n e^{4} \log\left(c x^{2} + b x + a\right) + 6 \, a^{2} c d^{2} n e^{4} \log\left(c x^{2} + b x + a\right) - 2 \, b^{3} d^{3} e^{3} \log\left(d\right) - 12 \, a b c d^{3} e^{3} \log\left(d\right) - 2 \, a b^{2} n x^{2} e^{6} + 4 \, a^{2} c n x^{2} e^{6} - 6 \, a b^{2} d n x e^{5} + 6 \, a^{2} c d n x e^{5} - 4 \, a b^{2} d^{2} n e^{4} + 2 \, a^{2} c d^{2} n e^{4} - 6 \, a^{2} b d n e^{5} \log\left(c x^{2} + b x + a\right) + 6 \, a b^{2} d^{2} e^{4} \log\left(d\right) + 6 \, a^{2} c d^{2} e^{4} \log\left(d\right) + a^{2} b n x e^{6} + a^{2} b d n e^{5} + 2 \, a^{3} n e^{6} \log\left(c x^{2} + b x + a\right) - 6 \, a^{2} b d e^{5} \log\left(d\right) + 2 \, a^{3} e^{6} \log\left(d\right)}{6 \, {\left(c^{3} d^{6} x^{3} e^{4} + 3 \, c^{3} d^{7} x^{2} e^{3} + 3 \, c^{3} d^{8} x e^{2} + c^{3} d^{9} e - 3 \, b c^{2} d^{5} x^{3} e^{5} - 9 \, b c^{2} d^{6} x^{2} e^{4} - 9 \, b c^{2} d^{7} x e^{3} - 3 \, b c^{2} d^{8} e^{2} + 3 \, b^{2} c d^{4} x^{3} e^{6} + 3 \, a c^{2} d^{4} x^{3} e^{6} + 9 \, b^{2} c d^{5} x^{2} e^{5} + 9 \, a c^{2} d^{5} x^{2} e^{5} + 9 \, b^{2} c d^{6} x e^{4} + 9 \, a c^{2} d^{6} x e^{4} + 3 \, b^{2} c d^{7} e^{3} + 3 \, a c^{2} d^{7} e^{3} - b^{3} d^{3} x^{3} e^{7} - 6 \, a b c d^{3} x^{3} e^{7} - 3 \, b^{3} d^{4} x^{2} e^{6} - 18 \, a b c d^{4} x^{2} e^{6} - 3 \, b^{3} d^{5} x e^{5} - 18 \, a b c d^{5} x e^{5} - b^{3} d^{6} e^{4} - 6 \, a b c d^{6} e^{4} + 3 \, a b^{2} d^{2} x^{3} e^{8} + 3 \, a^{2} c d^{2} x^{3} e^{8} + 9 \, a b^{2} d^{3} x^{2} e^{7} + 9 \, a^{2} c d^{3} x^{2} e^{7} + 9 \, a b^{2} d^{4} x e^{6} + 9 \, a^{2} c d^{4} x e^{6} + 3 \, a b^{2} d^{5} e^{5} + 3 \, a^{2} c d^{5} e^{5} - 3 \, a^{2} b d x^{3} e^{9} - 9 \, a^{2} b d^{2} x^{2} e^{8} - 9 \, a^{2} b d^{3} x e^{7} - 3 \, a^{2} b d^{4} e^{6} + a^{3} x^{3} e^{10} + 3 \, a^{3} d x^{2} e^{9} + 3 \, a^{3} d^{2} x e^{8} + a^{3} d^{3} e^{7}\right)}}"," ",0,"1/6*(2*c^3*d^3*n - 3*b*c^2*d^2*n*e + 3*b^2*c*d*n*e^2 - 6*a*c^2*d*n*e^2 - b^3*n*e^3 + 3*a*b*c*n*e^3)*log(c*x^2 + b*x + a)/(c^3*d^6*e - 3*b*c^2*d^5*e^2 + 3*b^2*c*d^4*e^3 + 3*a*c^2*d^4*e^3 - b^3*d^3*e^4 - 6*a*b*c*d^3*e^4 + 3*a*b^2*d^2*e^5 + 3*a^2*c*d^2*e^5 - 3*a^2*b*d*e^6 + a^3*e^7) - 1/3*(3*b^2*c^2*d^2*n - 12*a*c^3*d^2*n - 3*b^3*c*d*n*e + 12*a*b*c^2*d*n*e + b^4*n*e^2 - 5*a*b^2*c*n*e^2 + 4*a^2*c^2*n*e^2)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/((c^3*d^6 - 3*b*c^2*d^5*e + 3*b^2*c*d^4*e^2 + 3*a*c^2*d^4*e^2 - b^3*d^3*e^3 - 6*a*b*c*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a^2*c*d^2*e^4 - 3*a^2*b*d*e^5 + a^3*e^6)*sqrt(-b^2 + 4*a*c)) - 1/6*(4*c^3*d^3*n*x^3*e^3*log(x*e + d) + 12*c^3*d^4*n*x^2*e^2*log(x*e + d) + 12*c^3*d^5*n*x*e*log(x*e + d) - 4*c^3*d^4*n*x^2*e^2 - 10*c^3*d^5*n*x*e + 2*c^3*d^6*n*log(c*x^2 + b*x + a) - 6*b*c^2*d^5*n*e*log(c*x^2 + b*x + a) + 4*c^3*d^6*n*log(x*e + d) - 6*b*c^2*d^2*n*x^3*e^4*log(x*e + d) - 18*b*c^2*d^3*n*x^2*e^3*log(x*e + d) - 18*b*c^2*d^4*n*x*e^2*log(x*e + d) - 6*b*c^2*d^5*n*e*log(x*e + d) - 6*c^3*d^6*n + 8*b*c^2*d^3*n*x^2*e^3 + 21*b*c^2*d^4*n*x*e^2 + 13*b*c^2*d^5*n*e + 6*b^2*c*d^4*n*e^2*log(c*x^2 + b*x + a) + 6*a*c^2*d^4*n*e^2*log(c*x^2 + b*x + a) + 6*b^2*c*d*n*x^3*e^5*log(x*e + d) - 12*a*c^2*d*n*x^3*e^5*log(x*e + d) + 18*b^2*c*d^2*n*x^2*e^4*log(x*e + d) - 36*a*c^2*d^2*n*x^2*e^4*log(x*e + d) + 18*b^2*c*d^3*n*x*e^3*log(x*e + d) - 36*a*c^2*d^3*n*x*e^3*log(x*e + d) + 6*b^2*c*d^4*n*e^2*log(x*e + d) - 12*a*c^2*d^4*n*e^2*log(x*e + d) + 2*c^3*d^6*log(d) - 6*b*c^2*d^5*e*log(d) - 6*b^2*c*d^2*n*x^2*e^4 - 16*b^2*c*d^3*n*x*e^3 - 4*a*c^2*d^3*n*x*e^3 - 10*b^2*c*d^4*n*e^2 - 4*a*c^2*d^4*n*e^2 - 2*b^3*d^3*n*e^3*log(c*x^2 + b*x + a) - 12*a*b*c*d^3*n*e^3*log(c*x^2 + b*x + a) - 2*b^3*n*x^3*e^6*log(x*e + d) + 6*a*b*c*n*x^3*e^6*log(x*e + d) - 6*b^3*d*n*x^2*e^5*log(x*e + d) + 18*a*b*c*d*n*x^2*e^5*log(x*e + d) - 6*b^3*d^2*n*x*e^4*log(x*e + d) + 18*a*b*c*d^2*n*x*e^4*log(x*e + d) - 2*b^3*d^3*n*e^3*log(x*e + d) + 6*a*b*c*d^3*n*e^3*log(x*e + d) + 6*b^2*c*d^4*e^2*log(d) + 6*a*c^2*d^4*e^2*log(d) + 2*b^3*d*n*x^2*e^5 + 5*b^3*d^2*n*x*e^4 + 6*a*b*c*d^2*n*x*e^4 + 3*b^3*d^3*n*e^3 + 6*a*b*c*d^3*n*e^3 + 6*a*b^2*d^2*n*e^4*log(c*x^2 + b*x + a) + 6*a^2*c*d^2*n*e^4*log(c*x^2 + b*x + a) - 2*b^3*d^3*e^3*log(d) - 12*a*b*c*d^3*e^3*log(d) - 2*a*b^2*n*x^2*e^6 + 4*a^2*c*n*x^2*e^6 - 6*a*b^2*d*n*x*e^5 + 6*a^2*c*d*n*x*e^5 - 4*a*b^2*d^2*n*e^4 + 2*a^2*c*d^2*n*e^4 - 6*a^2*b*d*n*e^5*log(c*x^2 + b*x + a) + 6*a*b^2*d^2*e^4*log(d) + 6*a^2*c*d^2*e^4*log(d) + a^2*b*n*x*e^6 + a^2*b*d*n*e^5 + 2*a^3*n*e^6*log(c*x^2 + b*x + a) - 6*a^2*b*d*e^5*log(d) + 2*a^3*e^6*log(d))/(c^3*d^6*x^3*e^4 + 3*c^3*d^7*x^2*e^3 + 3*c^3*d^8*x*e^2 + c^3*d^9*e - 3*b*c^2*d^5*x^3*e^5 - 9*b*c^2*d^6*x^2*e^4 - 9*b*c^2*d^7*x*e^3 - 3*b*c^2*d^8*e^2 + 3*b^2*c*d^4*x^3*e^6 + 3*a*c^2*d^4*x^3*e^6 + 9*b^2*c*d^5*x^2*e^5 + 9*a*c^2*d^5*x^2*e^5 + 9*b^2*c*d^6*x*e^4 + 9*a*c^2*d^6*x*e^4 + 3*b^2*c*d^7*e^3 + 3*a*c^2*d^7*e^3 - b^3*d^3*x^3*e^7 - 6*a*b*c*d^3*x^3*e^7 - 3*b^3*d^4*x^2*e^6 - 18*a*b*c*d^4*x^2*e^6 - 3*b^3*d^5*x*e^5 - 18*a*b*c*d^5*x*e^5 - b^3*d^6*e^4 - 6*a*b*c*d^6*e^4 + 3*a*b^2*d^2*x^3*e^8 + 3*a^2*c*d^2*x^3*e^8 + 9*a*b^2*d^3*x^2*e^7 + 9*a^2*c*d^3*x^2*e^7 + 9*a*b^2*d^4*x*e^6 + 9*a^2*c*d^4*x*e^6 + 3*a*b^2*d^5*e^5 + 3*a^2*c*d^5*e^5 - 3*a^2*b*d*x^3*e^9 - 9*a^2*b*d^2*x^2*e^8 - 9*a^2*b*d^3*x*e^7 - 3*a^2*b*d^4*e^6 + a^3*x^3*e^10 + 3*a^3*d*x^2*e^9 + 3*a^3*d^2*x*e^8 + a^3*d^3*e^7)","B",0
91,1,3759,0,1.173673," ","integrate(log(d*(c*x^2+b*x+a)^n)/(e*x+d)^5,x, algorithm=""giac"")","\frac{{\left(2 \, c^{4} d^{4} n - 4 \, b c^{3} d^{3} n e + 6 \, b^{2} c^{2} d^{2} n e^{2} - 12 \, a c^{3} d^{2} n e^{2} - 4 \, b^{3} c d n e^{3} + 12 \, a b c^{2} d n e^{3} + b^{4} n e^{4} - 4 \, a b^{2} c n e^{4} + 2 \, a^{2} c^{2} n e^{4}\right)} \log\left(c x^{2} + b x + a\right)}{8 \, {\left(c^{4} d^{8} e - 4 \, b c^{3} d^{7} e^{2} + 6 \, b^{2} c^{2} d^{6} e^{3} + 4 \, a c^{3} d^{6} e^{3} - 4 \, b^{3} c d^{5} e^{4} - 12 \, a b c^{2} d^{5} e^{4} + b^{4} d^{4} e^{5} + 12 \, a b^{2} c d^{4} e^{5} + 6 \, a^{2} c^{2} d^{4} e^{5} - 4 \, a b^{3} d^{3} e^{6} - 12 \, a^{2} b c d^{3} e^{6} + 6 \, a^{2} b^{2} d^{2} e^{7} + 4 \, a^{3} c d^{2} e^{7} - 4 \, a^{3} b d e^{8} + a^{4} e^{9}\right)}} - \frac{{\left(4 \, b^{2} c^{3} d^{3} n - 16 \, a c^{4} d^{3} n - 6 \, b^{3} c^{2} d^{2} n e + 24 \, a b c^{3} d^{2} n e + 4 \, b^{4} c d n e^{2} - 20 \, a b^{2} c^{2} d n e^{2} + 16 \, a^{2} c^{3} d n e^{2} - b^{5} n e^{3} + 6 \, a b^{3} c n e^{3} - 8 \, a^{2} b c^{2} n e^{3}\right)} \arctan\left(\frac{2 \, c x + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{4 \, {\left(c^{4} d^{8} - 4 \, b c^{3} d^{7} e + 6 \, b^{2} c^{2} d^{6} e^{2} + 4 \, a c^{3} d^{6} e^{2} - 4 \, b^{3} c d^{5} e^{3} - 12 \, a b c^{2} d^{5} e^{3} + b^{4} d^{4} e^{4} + 12 \, a b^{2} c d^{4} e^{4} + 6 \, a^{2} c^{2} d^{4} e^{4} - 4 \, a b^{3} d^{3} e^{5} - 12 \, a^{2} b c d^{3} e^{5} + 6 \, a^{2} b^{2} d^{2} e^{6} + 4 \, a^{3} c d^{2} e^{6} - 4 \, a^{3} b d e^{7} + a^{4} e^{8}\right)} \sqrt{-b^{2} + 4 \, a c}} - \frac{12 \, c^{4} d^{4} n x^{4} e^{4} \log\left(x e + d\right) + 48 \, c^{4} d^{5} n x^{3} e^{3} \log\left(x e + d\right) + 72 \, c^{4} d^{6} n x^{2} e^{2} \log\left(x e + d\right) + 48 \, c^{4} d^{7} n x e \log\left(x e + d\right) - 12 \, c^{4} d^{5} n x^{3} e^{3} - 42 \, c^{4} d^{6} n x^{2} e^{2} - 52 \, c^{4} d^{7} n x e + 6 \, c^{4} d^{8} n \log\left(c x^{2} + b x + a\right) - 24 \, b c^{3} d^{7} n e \log\left(c x^{2} + b x + a\right) + 12 \, c^{4} d^{8} n \log\left(x e + d\right) - 24 \, b c^{3} d^{3} n x^{4} e^{5} \log\left(x e + d\right) - 96 \, b c^{3} d^{4} n x^{3} e^{4} \log\left(x e + d\right) - 144 \, b c^{3} d^{5} n x^{2} e^{3} \log\left(x e + d\right) - 96 \, b c^{3} d^{6} n x e^{2} \log\left(x e + d\right) - 24 \, b c^{3} d^{7} n e \log\left(x e + d\right) - 22 \, c^{4} d^{8} n + 30 \, b c^{3} d^{4} n x^{3} e^{4} + 108 \, b c^{3} d^{5} n x^{2} e^{3} + 140 \, b c^{3} d^{6} n x e^{2} + 62 \, b c^{3} d^{7} n e + 36 \, b^{2} c^{2} d^{6} n e^{2} \log\left(c x^{2} + b x + a\right) + 24 \, a c^{3} d^{6} n e^{2} \log\left(c x^{2} + b x + a\right) + 36 \, b^{2} c^{2} d^{2} n x^{4} e^{6} \log\left(x e + d\right) - 72 \, a c^{3} d^{2} n x^{4} e^{6} \log\left(x e + d\right) + 144 \, b^{2} c^{2} d^{3} n x^{3} e^{5} \log\left(x e + d\right) - 288 \, a c^{3} d^{3} n x^{3} e^{5} \log\left(x e + d\right) + 216 \, b^{2} c^{2} d^{4} n x^{2} e^{4} \log\left(x e + d\right) - 432 \, a c^{3} d^{4} n x^{2} e^{4} \log\left(x e + d\right) + 144 \, b^{2} c^{2} d^{5} n x e^{3} \log\left(x e + d\right) - 288 \, a c^{3} d^{5} n x e^{3} \log\left(x e + d\right) + 36 \, b^{2} c^{2} d^{6} n e^{2} \log\left(x e + d\right) - 72 \, a c^{3} d^{6} n e^{2} \log\left(x e + d\right) + 6 \, c^{4} d^{8} \log\left(d\right) - 24 \, b c^{3} d^{7} e \log\left(d\right) - 36 \, b^{2} c^{2} d^{3} n x^{3} e^{5} + 24 \, a c^{3} d^{3} n x^{3} e^{5} - 129 \, b^{2} c^{2} d^{4} n x^{2} e^{4} + 66 \, a c^{3} d^{4} n x^{2} e^{4} - 168 \, b^{2} c^{2} d^{5} n x e^{3} + 48 \, a c^{3} d^{5} n x e^{3} - 75 \, b^{2} c^{2} d^{6} n e^{2} + 6 \, a c^{3} d^{6} n e^{2} - 24 \, b^{3} c d^{5} n e^{3} \log\left(c x^{2} + b x + a\right) - 72 \, a b c^{2} d^{5} n e^{3} \log\left(c x^{2} + b x + a\right) - 24 \, b^{3} c d n x^{4} e^{7} \log\left(x e + d\right) + 72 \, a b c^{2} d n x^{4} e^{7} \log\left(x e + d\right) - 96 \, b^{3} c d^{2} n x^{3} e^{6} \log\left(x e + d\right) + 288 \, a b c^{2} d^{2} n x^{3} e^{6} \log\left(x e + d\right) - 144 \, b^{3} c d^{3} n x^{2} e^{5} \log\left(x e + d\right) + 432 \, a b c^{2} d^{3} n x^{2} e^{5} \log\left(x e + d\right) - 96 \, b^{3} c d^{4} n x e^{4} \log\left(x e + d\right) + 288 \, a b c^{2} d^{4} n x e^{4} \log\left(x e + d\right) - 24 \, b^{3} c d^{5} n e^{3} \log\left(x e + d\right) + 72 \, a b c^{2} d^{5} n e^{3} \log\left(x e + d\right) + 36 \, b^{2} c^{2} d^{6} e^{2} \log\left(d\right) + 24 \, a c^{3} d^{6} e^{2} \log\left(d\right) + 24 \, b^{3} c d^{2} n x^{3} e^{6} - 36 \, a b c^{2} d^{2} n x^{3} e^{6} + 84 \, b^{3} c d^{3} n x^{2} e^{5} - 96 \, a b c^{2} d^{3} n x^{2} e^{5} + 106 \, b^{3} c d^{4} n x e^{4} - 54 \, a b c^{2} d^{4} n x e^{4} + 46 \, b^{3} c d^{5} n e^{3} + 6 \, a b c^{2} d^{5} n e^{3} + 6 \, b^{4} d^{4} n e^{4} \log\left(c x^{2} + b x + a\right) + 72 \, a b^{2} c d^{4} n e^{4} \log\left(c x^{2} + b x + a\right) + 36 \, a^{2} c^{2} d^{4} n e^{4} \log\left(c x^{2} + b x + a\right) + 6 \, b^{4} n x^{4} e^{8} \log\left(x e + d\right) - 24 \, a b^{2} c n x^{4} e^{8} \log\left(x e + d\right) + 12 \, a^{2} c^{2} n x^{4} e^{8} \log\left(x e + d\right) + 24 \, b^{4} d n x^{3} e^{7} \log\left(x e + d\right) - 96 \, a b^{2} c d n x^{3} e^{7} \log\left(x e + d\right) + 48 \, a^{2} c^{2} d n x^{3} e^{7} \log\left(x e + d\right) + 36 \, b^{4} d^{2} n x^{2} e^{6} \log\left(x e + d\right) - 144 \, a b^{2} c d^{2} n x^{2} e^{6} \log\left(x e + d\right) + 72 \, a^{2} c^{2} d^{2} n x^{2} e^{6} \log\left(x e + d\right) + 24 \, b^{4} d^{3} n x e^{5} \log\left(x e + d\right) - 96 \, a b^{2} c d^{3} n x e^{5} \log\left(x e + d\right) + 48 \, a^{2} c^{2} d^{3} n x e^{5} \log\left(x e + d\right) + 6 \, b^{4} d^{4} n e^{4} \log\left(x e + d\right) - 24 \, a b^{2} c d^{4} n e^{4} \log\left(x e + d\right) + 12 \, a^{2} c^{2} d^{4} n e^{4} \log\left(x e + d\right) - 24 \, b^{3} c d^{5} e^{3} \log\left(d\right) - 72 \, a b c^{2} d^{5} e^{3} \log\left(d\right) - 6 \, b^{4} d n x^{3} e^{7} + 36 \, a^{2} c^{2} d n x^{3} e^{7} - 21 \, b^{4} d^{2} n x^{2} e^{6} - 12 \, a b^{2} c d^{2} n x^{2} e^{6} + 114 \, a^{2} c^{2} d^{2} n x^{2} e^{6} - 26 \, b^{4} d^{3} n x e^{5} - 48 \, a b^{2} c d^{3} n x e^{5} + 108 \, a^{2} c^{2} d^{3} n x e^{5} - 11 \, b^{4} d^{4} n e^{4} - 36 \, a b^{2} c d^{4} n e^{4} + 30 \, a^{2} c^{2} d^{4} n e^{4} - 24 \, a b^{3} d^{3} n e^{5} \log\left(c x^{2} + b x + a\right) - 72 \, a^{2} b c d^{3} n e^{5} \log\left(c x^{2} + b x + a\right) + 6 \, b^{4} d^{4} e^{4} \log\left(d\right) + 72 \, a b^{2} c d^{4} e^{4} \log\left(d\right) + 36 \, a^{2} c^{2} d^{4} e^{4} \log\left(d\right) + 6 \, a b^{3} n x^{3} e^{8} - 18 \, a^{2} b c n x^{3} e^{8} + 24 \, a b^{3} d n x^{2} e^{7} - 60 \, a^{2} b c d n x^{2} e^{7} + 36 \, a b^{3} d^{2} n x e^{6} - 48 \, a^{2} b c d^{2} n x e^{6} + 18 \, a b^{3} d^{3} n e^{5} - 6 \, a^{2} b c d^{3} n e^{5} + 36 \, a^{2} b^{2} d^{2} n e^{6} \log\left(c x^{2} + b x + a\right) + 24 \, a^{3} c d^{2} n e^{6} \log\left(c x^{2} + b x + a\right) - 24 \, a b^{3} d^{3} e^{5} \log\left(d\right) - 72 \, a^{2} b c d^{3} e^{5} \log\left(d\right) - 3 \, a^{2} b^{2} n x^{2} e^{8} + 6 \, a^{3} c n x^{2} e^{8} - 12 \, a^{2} b^{2} d n x e^{7} + 8 \, a^{3} c d n x e^{7} - 9 \, a^{2} b^{2} d^{2} n e^{6} + 2 \, a^{3} c d^{2} n e^{6} - 24 \, a^{3} b d n e^{7} \log\left(c x^{2} + b x + a\right) + 36 \, a^{2} b^{2} d^{2} e^{6} \log\left(d\right) + 24 \, a^{3} c d^{2} e^{6} \log\left(d\right) + 2 \, a^{3} b n x e^{8} + 2 \, a^{3} b d n e^{7} + 6 \, a^{4} n e^{8} \log\left(c x^{2} + b x + a\right) - 24 \, a^{3} b d e^{7} \log\left(d\right) + 6 \, a^{4} e^{8} \log\left(d\right)}{24 \, {\left(c^{4} d^{8} x^{4} e^{5} + 4 \, c^{4} d^{9} x^{3} e^{4} + 6 \, c^{4} d^{10} x^{2} e^{3} + 4 \, c^{4} d^{11} x e^{2} + c^{4} d^{12} e - 4 \, b c^{3} d^{7} x^{4} e^{6} - 16 \, b c^{3} d^{8} x^{3} e^{5} - 24 \, b c^{3} d^{9} x^{2} e^{4} - 16 \, b c^{3} d^{10} x e^{3} - 4 \, b c^{3} d^{11} e^{2} + 6 \, b^{2} c^{2} d^{6} x^{4} e^{7} + 4 \, a c^{3} d^{6} x^{4} e^{7} + 24 \, b^{2} c^{2} d^{7} x^{3} e^{6} + 16 \, a c^{3} d^{7} x^{3} e^{6} + 36 \, b^{2} c^{2} d^{8} x^{2} e^{5} + 24 \, a c^{3} d^{8} x^{2} e^{5} + 24 \, b^{2} c^{2} d^{9} x e^{4} + 16 \, a c^{3} d^{9} x e^{4} + 6 \, b^{2} c^{2} d^{10} e^{3} + 4 \, a c^{3} d^{10} e^{3} - 4 \, b^{3} c d^{5} x^{4} e^{8} - 12 \, a b c^{2} d^{5} x^{4} e^{8} - 16 \, b^{3} c d^{6} x^{3} e^{7} - 48 \, a b c^{2} d^{6} x^{3} e^{7} - 24 \, b^{3} c d^{7} x^{2} e^{6} - 72 \, a b c^{2} d^{7} x^{2} e^{6} - 16 \, b^{3} c d^{8} x e^{5} - 48 \, a b c^{2} d^{8} x e^{5} - 4 \, b^{3} c d^{9} e^{4} - 12 \, a b c^{2} d^{9} e^{4} + b^{4} d^{4} x^{4} e^{9} + 12 \, a b^{2} c d^{4} x^{4} e^{9} + 6 \, a^{2} c^{2} d^{4} x^{4} e^{9} + 4 \, b^{4} d^{5} x^{3} e^{8} + 48 \, a b^{2} c d^{5} x^{3} e^{8} + 24 \, a^{2} c^{2} d^{5} x^{3} e^{8} + 6 \, b^{4} d^{6} x^{2} e^{7} + 72 \, a b^{2} c d^{6} x^{2} e^{7} + 36 \, a^{2} c^{2} d^{6} x^{2} e^{7} + 4 \, b^{4} d^{7} x e^{6} + 48 \, a b^{2} c d^{7} x e^{6} + 24 \, a^{2} c^{2} d^{7} x e^{6} + b^{4} d^{8} e^{5} + 12 \, a b^{2} c d^{8} e^{5} + 6 \, a^{2} c^{2} d^{8} e^{5} - 4 \, a b^{3} d^{3} x^{4} e^{10} - 12 \, a^{2} b c d^{3} x^{4} e^{10} - 16 \, a b^{3} d^{4} x^{3} e^{9} - 48 \, a^{2} b c d^{4} x^{3} e^{9} - 24 \, a b^{3} d^{5} x^{2} e^{8} - 72 \, a^{2} b c d^{5} x^{2} e^{8} - 16 \, a b^{3} d^{6} x e^{7} - 48 \, a^{2} b c d^{6} x e^{7} - 4 \, a b^{3} d^{7} e^{6} - 12 \, a^{2} b c d^{7} e^{6} + 6 \, a^{2} b^{2} d^{2} x^{4} e^{11} + 4 \, a^{3} c d^{2} x^{4} e^{11} + 24 \, a^{2} b^{2} d^{3} x^{3} e^{10} + 16 \, a^{3} c d^{3} x^{3} e^{10} + 36 \, a^{2} b^{2} d^{4} x^{2} e^{9} + 24 \, a^{3} c d^{4} x^{2} e^{9} + 24 \, a^{2} b^{2} d^{5} x e^{8} + 16 \, a^{3} c d^{5} x e^{8} + 6 \, a^{2} b^{2} d^{6} e^{7} + 4 \, a^{3} c d^{6} e^{7} - 4 \, a^{3} b d x^{4} e^{12} - 16 \, a^{3} b d^{2} x^{3} e^{11} - 24 \, a^{3} b d^{3} x^{2} e^{10} - 16 \, a^{3} b d^{4} x e^{9} - 4 \, a^{3} b d^{5} e^{8} + a^{4} x^{4} e^{13} + 4 \, a^{4} d x^{3} e^{12} + 6 \, a^{4} d^{2} x^{2} e^{11} + 4 \, a^{4} d^{3} x e^{10} + a^{4} d^{4} e^{9}\right)}}"," ",0,"1/8*(2*c^4*d^4*n - 4*b*c^3*d^3*n*e + 6*b^2*c^2*d^2*n*e^2 - 12*a*c^3*d^2*n*e^2 - 4*b^3*c*d*n*e^3 + 12*a*b*c^2*d*n*e^3 + b^4*n*e^4 - 4*a*b^2*c*n*e^4 + 2*a^2*c^2*n*e^4)*log(c*x^2 + b*x + a)/(c^4*d^8*e - 4*b*c^3*d^7*e^2 + 6*b^2*c^2*d^6*e^3 + 4*a*c^3*d^6*e^3 - 4*b^3*c*d^5*e^4 - 12*a*b*c^2*d^5*e^4 + b^4*d^4*e^5 + 12*a*b^2*c*d^4*e^5 + 6*a^2*c^2*d^4*e^5 - 4*a*b^3*d^3*e^6 - 12*a^2*b*c*d^3*e^6 + 6*a^2*b^2*d^2*e^7 + 4*a^3*c*d^2*e^7 - 4*a^3*b*d*e^8 + a^4*e^9) - 1/4*(4*b^2*c^3*d^3*n - 16*a*c^4*d^3*n - 6*b^3*c^2*d^2*n*e + 24*a*b*c^3*d^2*n*e + 4*b^4*c*d*n*e^2 - 20*a*b^2*c^2*d*n*e^2 + 16*a^2*c^3*d*n*e^2 - b^5*n*e^3 + 6*a*b^3*c*n*e^3 - 8*a^2*b*c^2*n*e^3)*arctan((2*c*x + b)/sqrt(-b^2 + 4*a*c))/((c^4*d^8 - 4*b*c^3*d^7*e + 6*b^2*c^2*d^6*e^2 + 4*a*c^3*d^6*e^2 - 4*b^3*c*d^5*e^3 - 12*a*b*c^2*d^5*e^3 + b^4*d^4*e^4 + 12*a*b^2*c*d^4*e^4 + 6*a^2*c^2*d^4*e^4 - 4*a*b^3*d^3*e^5 - 12*a^2*b*c*d^3*e^5 + 6*a^2*b^2*d^2*e^6 + 4*a^3*c*d^2*e^6 - 4*a^3*b*d*e^7 + a^4*e^8)*sqrt(-b^2 + 4*a*c)) - 1/24*(12*c^4*d^4*n*x^4*e^4*log(x*e + d) + 48*c^4*d^5*n*x^3*e^3*log(x*e + d) + 72*c^4*d^6*n*x^2*e^2*log(x*e + d) + 48*c^4*d^7*n*x*e*log(x*e + d) - 12*c^4*d^5*n*x^3*e^3 - 42*c^4*d^6*n*x^2*e^2 - 52*c^4*d^7*n*x*e + 6*c^4*d^8*n*log(c*x^2 + b*x + a) - 24*b*c^3*d^7*n*e*log(c*x^2 + b*x + a) + 12*c^4*d^8*n*log(x*e + d) - 24*b*c^3*d^3*n*x^4*e^5*log(x*e + d) - 96*b*c^3*d^4*n*x^3*e^4*log(x*e + d) - 144*b*c^3*d^5*n*x^2*e^3*log(x*e + d) - 96*b*c^3*d^6*n*x*e^2*log(x*e + d) - 24*b*c^3*d^7*n*e*log(x*e + d) - 22*c^4*d^8*n + 30*b*c^3*d^4*n*x^3*e^4 + 108*b*c^3*d^5*n*x^2*e^3 + 140*b*c^3*d^6*n*x*e^2 + 62*b*c^3*d^7*n*e + 36*b^2*c^2*d^6*n*e^2*log(c*x^2 + b*x + a) + 24*a*c^3*d^6*n*e^2*log(c*x^2 + b*x + a) + 36*b^2*c^2*d^2*n*x^4*e^6*log(x*e + d) - 72*a*c^3*d^2*n*x^4*e^6*log(x*e + d) + 144*b^2*c^2*d^3*n*x^3*e^5*log(x*e + d) - 288*a*c^3*d^3*n*x^3*e^5*log(x*e + d) + 216*b^2*c^2*d^4*n*x^2*e^4*log(x*e + d) - 432*a*c^3*d^4*n*x^2*e^4*log(x*e + d) + 144*b^2*c^2*d^5*n*x*e^3*log(x*e + d) - 288*a*c^3*d^5*n*x*e^3*log(x*e + d) + 36*b^2*c^2*d^6*n*e^2*log(x*e + d) - 72*a*c^3*d^6*n*e^2*log(x*e + d) + 6*c^4*d^8*log(d) - 24*b*c^3*d^7*e*log(d) - 36*b^2*c^2*d^3*n*x^3*e^5 + 24*a*c^3*d^3*n*x^3*e^5 - 129*b^2*c^2*d^4*n*x^2*e^4 + 66*a*c^3*d^4*n*x^2*e^4 - 168*b^2*c^2*d^5*n*x*e^3 + 48*a*c^3*d^5*n*x*e^3 - 75*b^2*c^2*d^6*n*e^2 + 6*a*c^3*d^6*n*e^2 - 24*b^3*c*d^5*n*e^3*log(c*x^2 + b*x + a) - 72*a*b*c^2*d^5*n*e^3*log(c*x^2 + b*x + a) - 24*b^3*c*d*n*x^4*e^7*log(x*e + d) + 72*a*b*c^2*d*n*x^4*e^7*log(x*e + d) - 96*b^3*c*d^2*n*x^3*e^6*log(x*e + d) + 288*a*b*c^2*d^2*n*x^3*e^6*log(x*e + d) - 144*b^3*c*d^3*n*x^2*e^5*log(x*e + d) + 432*a*b*c^2*d^3*n*x^2*e^5*log(x*e + d) - 96*b^3*c*d^4*n*x*e^4*log(x*e + d) + 288*a*b*c^2*d^4*n*x*e^4*log(x*e + d) - 24*b^3*c*d^5*n*e^3*log(x*e + d) + 72*a*b*c^2*d^5*n*e^3*log(x*e + d) + 36*b^2*c^2*d^6*e^2*log(d) + 24*a*c^3*d^6*e^2*log(d) + 24*b^3*c*d^2*n*x^3*e^6 - 36*a*b*c^2*d^2*n*x^3*e^6 + 84*b^3*c*d^3*n*x^2*e^5 - 96*a*b*c^2*d^3*n*x^2*e^5 + 106*b^3*c*d^4*n*x*e^4 - 54*a*b*c^2*d^4*n*x*e^4 + 46*b^3*c*d^5*n*e^3 + 6*a*b*c^2*d^5*n*e^3 + 6*b^4*d^4*n*e^4*log(c*x^2 + b*x + a) + 72*a*b^2*c*d^4*n*e^4*log(c*x^2 + b*x + a) + 36*a^2*c^2*d^4*n*e^4*log(c*x^2 + b*x + a) + 6*b^4*n*x^4*e^8*log(x*e + d) - 24*a*b^2*c*n*x^4*e^8*log(x*e + d) + 12*a^2*c^2*n*x^4*e^8*log(x*e + d) + 24*b^4*d*n*x^3*e^7*log(x*e + d) - 96*a*b^2*c*d*n*x^3*e^7*log(x*e + d) + 48*a^2*c^2*d*n*x^3*e^7*log(x*e + d) + 36*b^4*d^2*n*x^2*e^6*log(x*e + d) - 144*a*b^2*c*d^2*n*x^2*e^6*log(x*e + d) + 72*a^2*c^2*d^2*n*x^2*e^6*log(x*e + d) + 24*b^4*d^3*n*x*e^5*log(x*e + d) - 96*a*b^2*c*d^3*n*x*e^5*log(x*e + d) + 48*a^2*c^2*d^3*n*x*e^5*log(x*e + d) + 6*b^4*d^4*n*e^4*log(x*e + d) - 24*a*b^2*c*d^4*n*e^4*log(x*e + d) + 12*a^2*c^2*d^4*n*e^4*log(x*e + d) - 24*b^3*c*d^5*e^3*log(d) - 72*a*b*c^2*d^5*e^3*log(d) - 6*b^4*d*n*x^3*e^7 + 36*a^2*c^2*d*n*x^3*e^7 - 21*b^4*d^2*n*x^2*e^6 - 12*a*b^2*c*d^2*n*x^2*e^6 + 114*a^2*c^2*d^2*n*x^2*e^6 - 26*b^4*d^3*n*x*e^5 - 48*a*b^2*c*d^3*n*x*e^5 + 108*a^2*c^2*d^3*n*x*e^5 - 11*b^4*d^4*n*e^4 - 36*a*b^2*c*d^4*n*e^4 + 30*a^2*c^2*d^4*n*e^4 - 24*a*b^3*d^3*n*e^5*log(c*x^2 + b*x + a) - 72*a^2*b*c*d^3*n*e^5*log(c*x^2 + b*x + a) + 6*b^4*d^4*e^4*log(d) + 72*a*b^2*c*d^4*e^4*log(d) + 36*a^2*c^2*d^4*e^4*log(d) + 6*a*b^3*n*x^3*e^8 - 18*a^2*b*c*n*x^3*e^8 + 24*a*b^3*d*n*x^2*e^7 - 60*a^2*b*c*d*n*x^2*e^7 + 36*a*b^3*d^2*n*x*e^6 - 48*a^2*b*c*d^2*n*x*e^6 + 18*a*b^3*d^3*n*e^5 - 6*a^2*b*c*d^3*n*e^5 + 36*a^2*b^2*d^2*n*e^6*log(c*x^2 + b*x + a) + 24*a^3*c*d^2*n*e^6*log(c*x^2 + b*x + a) - 24*a*b^3*d^3*e^5*log(d) - 72*a^2*b*c*d^3*e^5*log(d) - 3*a^2*b^2*n*x^2*e^8 + 6*a^3*c*n*x^2*e^8 - 12*a^2*b^2*d*n*x*e^7 + 8*a^3*c*d*n*x*e^7 - 9*a^2*b^2*d^2*n*e^6 + 2*a^3*c*d^2*n*e^6 - 24*a^3*b*d*n*e^7*log(c*x^2 + b*x + a) + 36*a^2*b^2*d^2*e^6*log(d) + 24*a^3*c*d^2*e^6*log(d) + 2*a^3*b*n*x*e^8 + 2*a^3*b*d*n*e^7 + 6*a^4*n*e^8*log(c*x^2 + b*x + a) - 24*a^3*b*d*e^7*log(d) + 6*a^4*e^8*log(d))/(c^4*d^8*x^4*e^5 + 4*c^4*d^9*x^3*e^4 + 6*c^4*d^10*x^2*e^3 + 4*c^4*d^11*x*e^2 + c^4*d^12*e - 4*b*c^3*d^7*x^4*e^6 - 16*b*c^3*d^8*x^3*e^5 - 24*b*c^3*d^9*x^2*e^4 - 16*b*c^3*d^10*x*e^3 - 4*b*c^3*d^11*e^2 + 6*b^2*c^2*d^6*x^4*e^7 + 4*a*c^3*d^6*x^4*e^7 + 24*b^2*c^2*d^7*x^3*e^6 + 16*a*c^3*d^7*x^3*e^6 + 36*b^2*c^2*d^8*x^2*e^5 + 24*a*c^3*d^8*x^2*e^5 + 24*b^2*c^2*d^9*x*e^4 + 16*a*c^3*d^9*x*e^4 + 6*b^2*c^2*d^10*e^3 + 4*a*c^3*d^10*e^3 - 4*b^3*c*d^5*x^4*e^8 - 12*a*b*c^2*d^5*x^4*e^8 - 16*b^3*c*d^6*x^3*e^7 - 48*a*b*c^2*d^6*x^3*e^7 - 24*b^3*c*d^7*x^2*e^6 - 72*a*b*c^2*d^7*x^2*e^6 - 16*b^3*c*d^8*x*e^5 - 48*a*b*c^2*d^8*x*e^5 - 4*b^3*c*d^9*e^4 - 12*a*b*c^2*d^9*e^4 + b^4*d^4*x^4*e^9 + 12*a*b^2*c*d^4*x^4*e^9 + 6*a^2*c^2*d^4*x^4*e^9 + 4*b^4*d^5*x^3*e^8 + 48*a*b^2*c*d^5*x^3*e^8 + 24*a^2*c^2*d^5*x^3*e^8 + 6*b^4*d^6*x^2*e^7 + 72*a*b^2*c*d^6*x^2*e^7 + 36*a^2*c^2*d^6*x^2*e^7 + 4*b^4*d^7*x*e^6 + 48*a*b^2*c*d^7*x*e^6 + 24*a^2*c^2*d^7*x*e^6 + b^4*d^8*e^5 + 12*a*b^2*c*d^8*e^5 + 6*a^2*c^2*d^8*e^5 - 4*a*b^3*d^3*x^4*e^10 - 12*a^2*b*c*d^3*x^4*e^10 - 16*a*b^3*d^4*x^3*e^9 - 48*a^2*b*c*d^4*x^3*e^9 - 24*a*b^3*d^5*x^2*e^8 - 72*a^2*b*c*d^5*x^2*e^8 - 16*a*b^3*d^6*x*e^7 - 48*a^2*b*c*d^6*x*e^7 - 4*a*b^3*d^7*e^6 - 12*a^2*b*c*d^7*e^6 + 6*a^2*b^2*d^2*x^4*e^11 + 4*a^3*c*d^2*x^4*e^11 + 24*a^2*b^2*d^3*x^3*e^10 + 16*a^3*c*d^3*x^3*e^10 + 36*a^2*b^2*d^4*x^2*e^9 + 24*a^3*c*d^4*x^2*e^9 + 24*a^2*b^2*d^5*x*e^8 + 16*a^3*c*d^5*x*e^8 + 6*a^2*b^2*d^6*e^7 + 4*a^3*c*d^6*e^7 - 4*a^3*b*d*x^4*e^12 - 16*a^3*b*d^2*x^3*e^11 - 24*a^3*b*d^3*x^2*e^10 - 16*a^3*b*d^4*x*e^9 - 4*a^3*b*d^5*e^8 + a^4*x^4*e^13 + 4*a^4*d*x^3*e^12 + 6*a^4*d^2*x^2*e^11 + 4*a^4*d^3*x*e^10 + a^4*d^4*e^9)","B",0
92,0,0,0,0.000000," ","integrate(log(d*(c*x^2+a)^n)/(c*e*x^2+a*e),x, algorithm=""giac"")","\int \frac{\log\left({\left(c x^{2} + a\right)}^{n} d\right)}{c e x^{2} + a e}\,{d x}"," ",0,"integrate(log((c*x^2 + a)^n*d)/(c*e*x^2 + a*e), x)","F",0
93,0,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)/(c*e*x^2+b*e*x+a*e),x, algorithm=""giac"")","\int \frac{\log\left({\left(c x^{2} + b x + a\right)}^{n} d\right)}{c e x^{2} + b e x + a e}\,{d x}"," ",0,"integrate(log((c*x^2 + b*x + a)^n*d)/(c*e*x^2 + b*e*x + a*e), x)","F",0
94,0,0,0,0.000000," ","integrate(log(g*(c*x^2+b*x+a)^n)/(e*x^2+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(c x^{2} + b x + a\right)}^{n} g\right)}{e x^{2} + d}\,{d x}"," ",0,"integrate(log((c*x^2 + b*x + a)^n*g)/(e*x^2 + d), x)","F",0
95,0,0,0,0.000000," ","integrate(log(g*(c*x^2+b*x+a)^n)/(f*x^2+e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(c x^{2} + b x + a\right)}^{n} g\right)}{f x^{2} + e x + d}\,{d x}"," ",0,"integrate(log((c*x^2 + b*x + a)^n*g)/(f*x^2 + e*x + d), x)","F",0
96,0,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x)^n)^2,x, algorithm=""giac"")","\int \log\left({\left(c x^{2} + b x\right)}^{n} d\right)^{2}\,{d x}"," ",0,"integrate(log((c*x^2 + b*x)^n*d)^2, x)","F",0
97,0,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)^2,x, algorithm=""giac"")","\int \log\left({\left(c x^{2} + b x + a\right)}^{n} d\right)^{2}\,{d x}"," ",0,"integrate(log((c*x^2 + b*x + a)^n*d)^2, x)","F",0
98,0,0,0,0.000000," ","integrate(x^2*log(x^2+x+1)/(x^2+3*x+2),x, algorithm=""giac"")","\int \frac{x^{2} \log\left(x^{2} + x + 1\right)}{x^{2} + 3 \, x + 2}\,{d x}"," ",0,"integrate(x^2*log(x^2 + x + 1)/(x^2 + 3*x + 2), x)","F",0
99,0,0,0,0.000000," ","integrate(log(x^2+x+1)^2,x, algorithm=""giac"")","\int \log\left(x^{2} + x + 1\right)^{2}\,{d x}"," ",0,"integrate(log(x^2 + x + 1)^2, x)","F",0
100,0,0,0,0.000000," ","integrate(log(x^2+x-1)^2/x^3,x, algorithm=""giac"")","\int \frac{\log\left(x^{2} + x - 1\right)^{2}}{x^{3}}\,{d x}"," ",0,"integrate(log(x^2 + x - 1)^2/x^3, x)","F",0
101,1,134,0,0.325614," ","integrate(x^3*log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right) - \frac{1}{32} \, x^{4} + \frac{1}{192} \, x^{3} - \frac{1}{1024} \, x^{2} - \frac{1}{12288} \, {\left(4 \, {\left(32 \, {\left(3 \, x + 5\right)} x + 191\right)} x + 1155\right)} \sqrt{x^{2} - x} + \frac{1}{4096} \, x - \frac{1}{32768} \, \log\left({\left| 8 \, x + 1 \right|}\right) + \frac{1537}{32768} \, \log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} - x} + 1 \right|}\right) - \frac{1}{32768} \, \log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} - x} - 1 \right|}\right) + \frac{1}{32768} \, \log\left({\left| -4 \, x + 4 \, \sqrt{x^{2} - x} + 1 \right|}\right)"," ",0,"1/4*x^4*log(4*x + 4*sqrt((x - 1)*x) - 1) - 1/32*x^4 + 1/192*x^3 - 1/1024*x^2 - 1/12288*(4*(32*(3*x + 5)*x + 191)*x + 1155)*sqrt(x^2 - x) + 1/4096*x - 1/32768*log(abs(8*x + 1)) + 1537/32768*log(abs(-2*x + 2*sqrt(x^2 - x) + 1)) - 1/32768*log(abs(-2*x + 2*sqrt(x^2 - x) - 1)) + 1/32768*log(abs(-4*x + 4*sqrt(x^2 - x) + 1))","A",0
102,1,124,0,0.314031," ","integrate(x^2*log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right) - \frac{1}{18} \, x^{3} + \frac{1}{96} \, x^{2} - \frac{1}{1152} \, {\left(4 \, {\left(16 \, x + 29\right)} x + 165\right)} \sqrt{x^{2} - x} - \frac{1}{384} \, x + \frac{1}{3072} \, \log\left({\left| 8 \, x + 1 \right|}\right) + \frac{223}{3072} \, \log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} - x} + 1 \right|}\right) + \frac{1}{3072} \, \log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} - x} - 1 \right|}\right) - \frac{1}{3072} \, \log\left({\left| -4 \, x + 4 \, \sqrt{x^{2} - x} + 1 \right|}\right)"," ",0,"1/3*x^3*log(4*x + 4*sqrt((x - 1)*x) - 1) - 1/18*x^3 + 1/96*x^2 - 1/1152*(4*(16*x + 29)*x + 165)*sqrt(x^2 - x) - 1/384*x + 1/3072*log(abs(8*x + 1)) + 223/3072*log(abs(-2*x + 2*sqrt(x^2 - x) + 1)) + 1/3072*log(abs(-2*x + 2*sqrt(x^2 - x) - 1)) - 1/3072*log(abs(-4*x + 4*sqrt(x^2 - x) + 1))","A",0
103,1,114,0,0.347930," ","integrate(x*log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right) - \frac{1}{8} \, x^{2} - \frac{1}{32} \, \sqrt{x^{2} - x} {\left(4 \, x + 9\right)} + \frac{1}{32} \, x - \frac{1}{256} \, \log\left({\left| 8 \, x + 1 \right|}\right) + \frac{33}{256} \, \log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} - x} + 1 \right|}\right) - \frac{1}{256} \, \log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} - x} - 1 \right|}\right) + \frac{1}{256} \, \log\left({\left| -4 \, x + 4 \, \sqrt{x^{2} - x} + 1 \right|}\right)"," ",0,"1/2*x^2*log(4*x + 4*sqrt((x - 1)*x) - 1) - 1/8*x^2 - 1/32*sqrt(x^2 - x)*(4*x + 9) + 1/32*x - 1/256*log(abs(8*x + 1)) + 33/256*log(abs(-2*x + 2*sqrt(x^2 - x) + 1)) - 1/256*log(abs(-2*x + 2*sqrt(x^2 - x) - 1)) + 1/256*log(abs(-4*x + 4*sqrt(x^2 - x) + 1))","A",0
104,1,101,0,0.272090," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""giac"")","x \log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right) - \frac{1}{2} \, x - \frac{1}{2} \, \sqrt{x^{2} - x} + \frac{1}{16} \, \log\left({\left| 8 \, x + 1 \right|}\right) + \frac{7}{16} \, \log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} - x} + 1 \right|}\right) + \frac{1}{16} \, \log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} - x} - 1 \right|}\right) - \frac{1}{16} \, \log\left({\left| -4 \, x + 4 \, \sqrt{x^{2} - x} + 1 \right|}\right)"," ",0,"x*log(4*x + 4*sqrt((x - 1)*x) - 1) - 1/2*x - 1/2*sqrt(x^2 - x) + 1/16*log(abs(8*x + 1)) + 7/16*log(abs(-2*x + 2*sqrt(x^2 - x) + 1)) + 1/16*log(abs(-2*x + 2*sqrt(x^2 - x) - 1)) - 1/16*log(abs(-4*x + 4*sqrt(x^2 - x) + 1))","A",0
105,0,0,0,0.000000," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x,x, algorithm=""giac"")","\int \frac{\log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right)}{x}\,{d x}"," ",0,"integrate(log(4*x + 4*sqrt((x - 1)*x) - 1)/x, x)","F",0
106,1,92,0,0.303562," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x^2,x, algorithm=""giac"")","-\frac{\log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right)}{x} + \frac{4}{x - \sqrt{x^{2} - x}} - 4 \, \log\left({\left| 8 \, x + 1 \right|}\right) + 4 \, \log\left({\left| x \right|}\right) - 4 \, \log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} - x} - 1 \right|}\right) + 4 \, \log\left({\left| -4 \, x + 4 \, \sqrt{x^{2} - x} + 1 \right|}\right)"," ",0,"-log(4*x + 4*sqrt((x - 1)*x) - 1)/x + 4/(x - sqrt(x^2 - x)) - 4*log(abs(8*x + 1)) + 4*log(abs(x)) - 4*log(abs(-2*x + 2*sqrt(x^2 - x) - 1)) + 4*log(abs(-4*x + 4*sqrt(x^2 - x) + 1))","A",0
107,1,130,0,0.312160," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x^3,x, algorithm=""giac"")","-\frac{2}{x} - \frac{\log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right)}{2 \, x^{2}} - \frac{2 \, {\left(18 \, {\left(x - \sqrt{x^{2} - x}\right)}^{2} - 3 \, x + 3 \, \sqrt{x^{2} - x} + 1\right)}}{3 \, {\left(x - \sqrt{x^{2} - x}\right)}^{3}} + 16 \, \log\left({\left| 8 \, x + 1 \right|}\right) - 16 \, \log\left({\left| x \right|}\right) + 16 \, \log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} - x} - 1 \right|}\right) - 16 \, \log\left({\left| -4 \, x + 4 \, \sqrt{x^{2} - x} + 1 \right|}\right)"," ",0,"-2/x - 1/2*log(4*x + 4*sqrt((x - 1)*x) - 1)/x^2 - 2/3*(18*(x - sqrt(x^2 - x))^2 - 3*x + 3*sqrt(x^2 - x) + 1)/(x - sqrt(x^2 - x))^3 + 16*log(abs(8*x + 1)) - 16*log(abs(x)) + 16*log(abs(-2*x + 2*sqrt(x^2 - x) - 1)) - 16*log(abs(-4*x + 4*sqrt(x^2 - x) + 1))","A",0
108,1,132,0,0.365121," ","integrate(x^(3/2)*log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""giac"")","\frac{2}{5} \, x^{\frac{5}{2}} \log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right) + \frac{1}{1280} \, \sqrt{2} \pi i - \frac{2}{25} \, x^{\frac{5}{2}} + \frac{1}{1280} \, \sqrt{2} {\left(\pi - 2 \, \arctan\left(\frac{\sqrt{2} {\left({\left(\sqrt{x - 1} - \sqrt{x}\right)}^{2} - 1\right)}}{3 \, {\left(\sqrt{x - 1} - \sqrt{x}\right)}}\right)\right)} - \frac{1}{2400} \, {\left(8 \, {\left(24 \, x + 47\right)} x + 707\right)} \sqrt{x - 1} + \frac{1}{60} \, x^{\frac{3}{2}} + \frac{1}{640} \, \sqrt{2} \arctan\left(\frac{2}{3} \, \sqrt{2} i\right) + \frac{1}{640} \, \sqrt{2} \arctan\left(2 \, \sqrt{2} \sqrt{x}\right) + \frac{707}{2400} \, i - \frac{1}{160} \, \sqrt{x}"," ",0,"2/5*x^(5/2)*log(4*x + 4*sqrt((x - 1)*x) - 1) + 1/1280*sqrt(2)*pi*i - 2/25*x^(5/2) + 1/1280*sqrt(2)*(pi - 2*arctan(1/3*sqrt(2)*((sqrt(x - 1) - sqrt(x))^2 - 1)/(sqrt(x - 1) - sqrt(x)))) - 1/2400*(8*(24*x + 47)*x + 707)*sqrt(x - 1) + 1/60*x^(3/2) + 1/640*sqrt(2)*arctan(2/3*sqrt(2)*i) + 1/640*sqrt(2)*arctan(2*sqrt(2)*sqrt(x)) + 707/2400*i - 1/160*sqrt(x)","A",0
109,1,122,0,0.367198," ","integrate(x^(1/2)*log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""giac"")","-\frac{1}{96} \, \sqrt{2} \pi i + \frac{2}{3} \, x^{\frac{3}{2}} \log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right) - \frac{1}{96} \, \sqrt{2} {\left(\pi - 2 \, \arctan\left(\frac{\sqrt{2} {\left({\left(\sqrt{x - 1} - \sqrt{x}\right)}^{2} - 1\right)}}{3 \, {\left(\sqrt{x - 1} - \sqrt{x}\right)}}\right)\right)} - \frac{1}{36} \, {\left(8 \, x + 25\right)} \sqrt{x - 1} - \frac{2}{9} \, x^{\frac{3}{2}} - \frac{1}{48} \, \sqrt{2} \arctan\left(\frac{2}{3} \, \sqrt{2} i\right) - \frac{1}{48} \, \sqrt{2} \arctan\left(2 \, \sqrt{2} \sqrt{x}\right) + \frac{25}{36} \, i + \frac{1}{12} \, \sqrt{x}"," ",0,"-1/96*sqrt(2)*pi*i + 2/3*x^(3/2)*log(4*x + 4*sqrt((x - 1)*x) - 1) - 1/96*sqrt(2)*(pi - 2*arctan(1/3*sqrt(2)*((sqrt(x - 1) - sqrt(x))^2 - 1)/(sqrt(x - 1) - sqrt(x)))) - 1/36*(8*x + 25)*sqrt(x - 1) - 2/9*x^(3/2) - 1/48*sqrt(2)*arctan(2/3*sqrt(2)*i) - 1/48*sqrt(2)*arctan(2*sqrt(2)*sqrt(x)) + 25/36*i + 1/12*sqrt(x)","A",0
110,0,0,0,0.000000," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x^(1/2),x, algorithm=""giac"")","\int \frac{\log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right)}{\sqrt{x}}\,{d x}"," ",0,"integrate(log(4*x + 4*sqrt((x - 1)*x) - 1)/sqrt(x), x)","F",0
111,1,166,0,0.477922," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x^(3/2),x, algorithm=""giac"")","2 \, \sqrt{2} \pi i - 4 \, \pi i + 4 \, \pi \mathrm{sgn}\left(\sqrt{x - 1} - \sqrt{x}\right) - 2 \, \sqrt{2} {\left(\pi \mathrm{sgn}\left(\sqrt{x - 1} - \sqrt{x}\right) + 2 \, \arctan\left(\frac{\sqrt{2} {\left({\left(\sqrt{x - 1} - \sqrt{x}\right)}^{2} - 1\right)}}{3 \, {\left(\sqrt{x - 1} - \sqrt{x}\right)}}\right)\right)} + 4 \, \sqrt{2} \arctan\left(\frac{2}{3} \, \sqrt{2} i\right) + 4 \, \sqrt{2} \arctan\left(2 \, \sqrt{2} \sqrt{x}\right) - \frac{2 \, \log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right)}{\sqrt{x}} - 8 \, \arctan\left(i\right) + 8 \, \arctan\left(\frac{{\left(\sqrt{x - 1} - \sqrt{x}\right)}^{2} - 1}{2 \, {\left(\sqrt{x - 1} - \sqrt{x}\right)}}\right)"," ",0,"2*sqrt(2)*pi*i - 4*pi*i + 4*pi*sgn(sqrt(x - 1) - sqrt(x)) - 2*sqrt(2)*(pi*sgn(sqrt(x - 1) - sqrt(x)) + 2*arctan(1/3*sqrt(2)*((sqrt(x - 1) - sqrt(x))^2 - 1)/(sqrt(x - 1) - sqrt(x)))) + 4*sqrt(2)*arctan(2/3*sqrt(2)*i) + 4*sqrt(2)*arctan(2*sqrt(2)*sqrt(x)) - 2*log(4*x + 4*sqrt((x - 1)*x) - 1)/sqrt(x) - 8*arctan(i) + 8*arctan(1/2*((sqrt(x - 1) - sqrt(x))^2 - 1)/(sqrt(x - 1) - sqrt(x)))","A",0
112,1,181,0,0.497398," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x^(5/2),x, algorithm=""giac"")","\frac{22}{3} \, \pi - \frac{16}{3} \, \sqrt{2} {\left(\pi - 2 \, \arctan\left(\frac{\sqrt{2} {\left({\left(\sqrt{x - 1} - \sqrt{x}\right)}^{2} - 1\right)}}{3 \, {\left(\sqrt{x - 1} - \sqrt{x}\right)}}\right)\right)} - \frac{32}{3} \, \sqrt{2} \arctan\left(2 \, \sqrt{2} \sqrt{x}\right) + \frac{8 \, {\left(\sqrt{x - 1} - \sqrt{x} - \frac{1}{\sqrt{x - 1} - \sqrt{x}}\right)}}{3 \, {\left({\left(\sqrt{x - 1} - \sqrt{x} - \frac{1}{\sqrt{x - 1} - \sqrt{x}}\right)}^{2} + 4\right)}} - \frac{16}{3 \, \sqrt{x}} - \frac{2 \, \log\left(4 \, x + 4 \, \sqrt{x^{2} - x} - 1\right)}{3 \, x^{\frac{3}{2}}} - \frac{44}{3} \, \arctan\left(\frac{{\left(\sqrt{x - 1} - \sqrt{x}\right)}^{2} - 1}{2 \, {\left(\sqrt{x - 1} - \sqrt{x}\right)}}\right)"," ",0,"22/3*pi - 16/3*sqrt(2)*(pi - 2*arctan(1/3*sqrt(2)*((sqrt(x - 1) - sqrt(x))^2 - 1)/(sqrt(x - 1) - sqrt(x)))) - 32/3*sqrt(2)*arctan(2*sqrt(2)*sqrt(x)) + 8/3*(sqrt(x - 1) - sqrt(x) - 1/(sqrt(x - 1) - sqrt(x)))/((sqrt(x - 1) - sqrt(x) - 1/(sqrt(x - 1) - sqrt(x)))^2 + 4) - 16/3/sqrt(x) - 2/3*log(4*x + 4*sqrt(x^2 - x) - 1)/x^(3/2) - 44/3*arctan(1/2*((sqrt(x - 1) - sqrt(x))^2 - 1)/(sqrt(x - 1) - sqrt(x)))","A",0
113,0,0,0,0.000000," ","integrate(x^3*log(a+b*exp(x)),x, algorithm=""giac"")","\int x^{3} \log\left(b e^{x} + a\right)\,{d x}"," ",0,"integrate(x^3*log(b*e^x + a), x)","F",0
114,0,0,0,0.000000," ","integrate(x^2*log(a+b*exp(x)),x, algorithm=""giac"")","\int x^{2} \log\left(b e^{x} + a\right)\,{d x}"," ",0,"integrate(x^2*log(b*e^x + a), x)","F",0
115,0,0,0,0.000000," ","integrate(x*log(a+b*exp(x)),x, algorithm=""giac"")","\int x \log\left(b e^{x} + a\right)\,{d x}"," ",0,"integrate(x*log(b*e^x + a), x)","F",0
116,0,0,0,0.000000," ","integrate(log(a+b*exp(x)),x, algorithm=""giac"")","\int \log\left(b e^{x} + a\right)\,{d x}"," ",0,"integrate(log(b*e^x + a), x)","F",0
117,0,0,0,0.000000," ","integrate(log(a+b*exp(x))/x,x, algorithm=""giac"")","\int \frac{\log\left(b e^{x} + a\right)}{x}\,{d x}"," ",0,"integrate(log(b*e^x + a)/x, x)","F",0
118,0,0,0,0.000000," ","integrate(x^3*log(1+e*(f^(c*(b*x+a)))^n),x, algorithm=""giac"")","\int x^{3} \log\left(e {\left(f^{{\left(b x + a\right)} c}\right)}^{n} + 1\right)\,{d x}"," ",0,"integrate(x^3*log(e*(f^((b*x + a)*c))^n + 1), x)","F",0
119,0,0,0,0.000000," ","integrate(x^2*log(1+e*(f^(c*(b*x+a)))^n),x, algorithm=""giac"")","\int x^{2} \log\left(e {\left(f^{{\left(b x + a\right)} c}\right)}^{n} + 1\right)\,{d x}"," ",0,"integrate(x^2*log(e*(f^((b*x + a)*c))^n + 1), x)","F",0
120,0,0,0,0.000000," ","integrate(x*log(1+e*(f^(c*(b*x+a)))^n),x, algorithm=""giac"")","\int x \log\left(e {\left(f^{{\left(b x + a\right)} c}\right)}^{n} + 1\right)\,{d x}"," ",0,"integrate(x*log(e*(f^((b*x + a)*c))^n + 1), x)","F",0
121,0,0,0,0.000000," ","integrate(log(1+e*(f^(c*(b*x+a)))^n),x, algorithm=""giac"")","\int \log\left(e {\left(f^{{\left(b x + a\right)} c}\right)}^{n} + 1\right)\,{d x}"," ",0,"integrate(log(e*(f^((b*x + a)*c))^n + 1), x)","F",0
122,0,0,0,0.000000," ","integrate(log(1+e*(f^(c*(b*x+a)))^n)/x,x, algorithm=""giac"")","\int \frac{\log\left(e {\left(f^{{\left(b x + a\right)} c}\right)}^{n} + 1\right)}{x}\,{d x}"," ",0,"integrate(log(e*(f^((b*x + a)*c))^n + 1)/x, x)","F",0
123,0,0,0,0.000000," ","integrate(x^3*log(d+e*(f^(c*(b*x+a)))^n),x, algorithm=""giac"")","\int x^{3} \log\left(e {\left(f^{{\left(b x + a\right)} c}\right)}^{n} + d\right)\,{d x}"," ",0,"integrate(x^3*log(e*(f^((b*x + a)*c))^n + d), x)","F",0
124,0,0,0,0.000000," ","integrate(x^2*log(d+e*(f^(c*(b*x+a)))^n),x, algorithm=""giac"")","\int x^{2} \log\left(e {\left(f^{{\left(b x + a\right)} c}\right)}^{n} + d\right)\,{d x}"," ",0,"integrate(x^2*log(e*(f^((b*x + a)*c))^n + d), x)","F",0
125,0,0,0,0.000000," ","integrate(x*log(d+e*(f^(c*(b*x+a)))^n),x, algorithm=""giac"")","\int x \log\left(e {\left(f^{{\left(b x + a\right)} c}\right)}^{n} + d\right)\,{d x}"," ",0,"integrate(x*log(e*(f^((b*x + a)*c))^n + d), x)","F",0
126,0,0,0,0.000000," ","integrate(log(d+e*(f^(c*(b*x+a)))^n),x, algorithm=""giac"")","\int \log\left(e {\left(f^{{\left(b x + a\right)} c}\right)}^{n} + d\right)\,{d x}"," ",0,"integrate(log(e*(f^((b*x + a)*c))^n + d), x)","F",0
127,0,0,0,0.000000," ","integrate(log(d+e*(f^(c*(b*x+a)))^n)/x,x, algorithm=""giac"")","\int \frac{\log\left(e {\left(f^{{\left(b x + a\right)} c}\right)}^{n} + d\right)}{x}\,{d x}"," ",0,"integrate(log(e*(f^((b*x + a)*c))^n + d)/x, x)","F",0
128,0,0,0,0.000000," ","integrate(log(b*(F^(e*(d*x+c)))^n+pi),x, algorithm=""giac"")","\int \log\left(\pi + {\left(F^{{\left(d x + c\right)} e}\right)}^{n} b\right)\,{d x}"," ",0,"integrate(log(pi + (F^((d*x + c)*e))^n*b), x)","F",0
129,1,22,0,0.160131," ","integrate(1/x/(3+log(x)),x, algorithm=""giac"")","\frac{1}{2} \, \log\left(\frac{1}{4} \, \pi^{2} {\left(\mathrm{sgn}\left(x\right) - 1\right)}^{2} + {\left(\log\left({\left| x \right|}\right) + 3\right)}^{2}\right)"," ",0,"1/2*log(1/4*pi^2*(sgn(x) - 1)^2 + (log(abs(x)) + 3)^2)","B",0
130,1,8,0,0.159944," ","integrate((1+log(x))^(1/2)/x,x, algorithm=""giac"")","\frac{2}{3} \, {\left(\log\left(x\right) + 1\right)}^{\frac{3}{2}}"," ",0,"2/3*(log(x) + 1)^(3/2)","A",0
131,1,31,0,0.167636," ","integrate((1+log(x))^5/x,x, algorithm=""giac"")","\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
132,1,6,0,0.167840," ","integrate(1/x/log(x)^(1/2),x, algorithm=""giac"")","2 \, \sqrt{\log\left(x\right)}"," ",0,"2*sqrt(log(x))","A",0
133,1,3,0,0.158232," ","integrate(1/x/(1+log(x)^2),x, algorithm=""giac"")","\arctan\left(\log\left(x\right)\right)"," ",0,"arctan(log(x))","A",0
134,-1,0,0,0.000000," ","integrate(1/x/(-3+log(x)^2)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
135,1,7,0,0.228836," ","integrate(1/x/(4-9*log(x)^2)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, \arcsin\left(\frac{3}{2} \, \log\left(x\right)\right)"," ",0,"1/3*arcsin(3/2*log(x))","A",0
136,1,16,0,0.195638," ","integrate(1/x/(4+log(x)^2)^(1/2),x, algorithm=""giac"")","-\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
137,0,0,0,0.000000," ","integrate(1/x/(2+3*log(6*x)^3),x, algorithm=""giac"")","\int \frac{1}{{\left(3 \, \log\left(6 \, x\right)^{3} + 2\right)} x}\,{d x}"," ",0,"integrate(1/((3*log(6*x)^3 + 2)*x), x)","F",0
138,1,9,0,0.185326," ","integrate(log(log(6*x))/x/log(6*x),x, algorithm=""giac"")","\frac{1}{2} \, \log\left(\log\left(6 \, x\right)\right)^{2}"," ",0,"1/2*log(log(6*x))^2","A",0
139,1,9,0,0.180098," ","integrate(2^log(x)/x,x, algorithm=""giac"")","\frac{2^{\log\left(x\right)}}{\log\left(2\right)}"," ",0,"2^log(x)/log(2)","A",0
140,1,12,0,0.168370," ","integrate(sin(log(x))^2/x,x, algorithm=""giac"")","\frac{1}{2} \, \log\left(x\right) - \frac{1}{4} \, \sin\left(2 \, \log\left(x\right)\right)"," ",0,"1/2*log(x) - 1/4*sin(2*log(x))","A",0
141,1,27,0,0.155860," ","integrate((7-log(x))/x/(3+log(x)),x, algorithm=""giac"")","5 \, \log\left(\frac{1}{4} \, \pi^{2} {\left(\mathrm{sgn}\left(x\right) - 1\right)}^{2} + {\left(\log\left({\left| x \right|}\right) + 3\right)}^{2}\right) - \log\left(x\right)"," ",0,"5*log(1/4*pi^2*(sgn(x) - 1)^2 + (log(abs(x)) + 3)^2) - log(x)","B",0
142,1,23,0,0.191162," ","integrate((2-log(x))*(3+log(x))^2/x,x, algorithm=""giac"")","-\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
143,1,37,0,0.174281," ","integrate(log(x)^2*(1+log(x)^2)^(1/2)/x,x, algorithm=""giac"")","\frac{1}{8} \, {\left(2 \, \log\left(x\right)^{2} + 1\right)} \sqrt{\log\left(x\right)^{2} + 1} \log\left(x\right) + \frac{1}{8} \, \log\left(\sqrt{\log\left(x\right)^{2} + 1} - \log\left(x\right)\right)"," ",0,"1/8*(2*log(x)^2 + 1)*sqrt(log(x)^2 + 1)*log(x) + 1/8*log(sqrt(log(x)^2 + 1) - log(x))","A",0
144,1,34,0,0.172684," ","integrate((1+log(x))/x/(3+2*log(x))^2,x, algorithm=""giac"")","\frac{1}{4 \, {\left(2 \, \log\left(x\right) + 3\right)}} + \frac{1}{8} \, \log\left(\pi^{2} {\left(\mathrm{sgn}\left(x\right) - 1\right)}^{2} + {\left(2 \, \log\left({\left| x \right|}\right) + 3\right)}^{2}\right)"," ",0,"1/4/(2*log(x) + 3) + 1/8*log(pi^2*(sgn(x) - 1)^2 + (2*log(abs(x)) + 3)^2)","A",0
145,1,17,0,0.159817," ","integrate(log(x)/x/(1+log(x))^(1/2),x, algorithm=""giac"")","\frac{2}{3} \, {\left(\log\left(x\right) + 1\right)}^{\frac{3}{2}} - 2 \, \sqrt{\log\left(x\right) + 1}"," ",0,"2/3*(log(x) + 1)^(3/2) - 2*sqrt(log(x) + 1)","A",0
146,1,21,0,0.153311," ","integrate(log(x)/x/(-1+4*log(x))^(1/2),x, algorithm=""giac"")","\frac{1}{24} \, {\left(4 \, \log\left(x\right) - 1\right)}^{\frac{3}{2}} + \frac{1}{8} \, \sqrt{4 \, \log\left(x\right) - 1}"," ",0,"1/24*(4*log(x) - 1)^(3/2) + 1/8*sqrt(4*log(x) - 1)","A",0
147,-1,0,0,0.000000," ","integrate((1+log(x))^(1/2)/x/log(x),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
148,1,20,0,0.194505," ","integrate((1-4*log(x)+log(x)^2)/x/(-1+log(x))^4,x, algorithm=""giac"")","-\frac{3 \, \log\left(x\right)^{2} - 9 \, \log\left(x\right) + 4}{3 \, {\left(\log\left(x\right) - 1\right)}^{3}}"," ",0,"-1/3*(3*log(x)^2 - 9*log(x) + 4)/(log(x) - 1)^3","A",0
149,1,68,0,0.359517," ","integrate((log(a*x^n)^2)^p/x,x, algorithm=""giac"")","\frac{{\left(n \log\left(x\right) \mathrm{sgn}\left(\log\left(a x^{n}\right)\right) + \log\left(a\right) \mathrm{sgn}\left(\log\left(a x^{n}\right)\right)\right)} {\left(n \log\left(x\right) \mathrm{sgn}\left(\log\left(a x^{n}\right)\right) + \log\left(a\right) \mathrm{sgn}\left(\log\left(a x^{n}\right)\right)\right)}^{2 \, p}}{n {\left(2 \, p + 1\right)} \mathrm{sgn}\left(\log\left(a x^{n}\right)\right)}"," ",0,"(n*log(x)*sgn(log(a*x^n)) + log(a)*sgn(log(a*x^n)))*(n*log(x)*sgn(log(a*x^n)) + log(a)*sgn(log(a*x^n)))^(2*p)/(n*(2*p + 1)*sgn(log(a*x^n)))","B",0
150,1,24,0,0.177947," ","integrate((log(a*x^n)^m)^p/x,x, algorithm=""giac"")","\frac{{\left(n \log\left(x\right) + \log\left(a\right)\right)}^{m p + 1}}{{\left(m p + 1\right)} n}"," ",0,"(n*log(x) + log(a))^(m*p + 1)/((m*p + 1)*n)","A",0
151,1,27,0,0.203403," ","integrate((log(a*x^n)^2)^(1/2)/x,x, algorithm=""giac"")","\frac{1}{2} \, n \log\left(x\right)^{2} \mathrm{sgn}\left(\log\left(a x^{n}\right)\right) + \log\left(a\right) \log\left(x\right) \mathrm{sgn}\left(\log\left(a x^{n}\right)\right)"," ",0,"1/2*n*log(x)^2*sgn(log(a*x^n)) + log(a)*log(x)*sgn(log(a*x^n))","A",0
152,1,35,0,0.326472," ","integrate((b*log(a*x^n)^m)^p/x,x, algorithm=""giac"")","\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)}}{{\left(m p + 1\right)} n}"," ",0,"(n*log(x) + log(a))*e^(m*p*log(n*log(x) + log(a)) + p*log(b))/((m*p + 1)*n)","A",0
153,1,5,0,0.155304," ","integrate(1/x/log(exp(x)),x, algorithm=""giac"")","-\frac{1}{x}"," ",0,"-1/x","A",0
154,1,102,0,0.172117," ","integrate(log(x)*sin(b*x+a),x, algorithm=""giac"")","-\frac{\cos\left(b x + a\right) \log\left(x\right)}{b} - \frac{\Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right) + 4 \, \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, a\right) - \Re \left( \operatorname{Ci}\left(b x\right) \right) - \Re \left( \operatorname{Ci}\left(-b x\right) \right)}{2 \, {\left(b \tan\left(\frac{1}{2} \, a\right)^{2} + b\right)}}"," ",0,"-cos(b*x + a)*log(x)/b - 1/2*(real_part(cos_integral(b*x))*tan(1/2*a)^2 + real_part(cos_integral(-b*x))*tan(1/2*a)^2 + 2*imag_part(cos_integral(b*x))*tan(1/2*a) - 2*imag_part(cos_integral(-b*x))*tan(1/2*a) + 4*sin_integral(b*x)*tan(1/2*a) - real_part(cos_integral(b*x)) - real_part(cos_integral(-b*x)))/(b*tan(1/2*a)^2 + b)","C",0
155,1,123,0,0.212052," ","integrate(log(x)*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{4} \, {\left(2 \, x - \frac{\sin\left(2 \, b x + 2 \, a\right)}{b}\right)} \log\left(x\right) - \frac{4 \, b x \tan\left(a\right)^{2} + \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) \tan\left(a\right)^{2} - \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) \tan\left(a\right)^{2} + 2 \, \operatorname{Si}\left(2 \, b x\right) \tan\left(a\right)^{2} + 4 \, b x - 2 \, \Re \left( \operatorname{Ci}\left(2 \, b x\right) \right) \tan\left(a\right) - 2 \, \Re \left( \operatorname{Ci}\left(-2 \, b x\right) \right) \tan\left(a\right) - \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) + \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) - 2 \, \operatorname{Si}\left(2 \, b x\right)}{8 \, {\left(b \tan\left(a\right)^{2} + b\right)}}"," ",0,"1/4*(2*x - sin(2*b*x + 2*a)/b)*log(x) - 1/8*(4*b*x*tan(a)^2 + imag_part(cos_integral(2*b*x))*tan(a)^2 - imag_part(cos_integral(-2*b*x))*tan(a)^2 + 2*sin_integral(2*b*x)*tan(a)^2 + 4*b*x - 2*real_part(cos_integral(2*b*x))*tan(a) - 2*real_part(cos_integral(-2*b*x))*tan(a) - imag_part(cos_integral(2*b*x)) + imag_part(cos_integral(-2*b*x)) - 2*sin_integral(2*b*x))/(b*tan(a)^2 + b)","C",0
156,1,454,0,0.236673," ","integrate(log(x)*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{1}{3} \, {\left(\frac{\cos\left(b x + a\right)^{3}}{b} - \frac{3 \, \cos\left(b x + a\right)}{b}\right)} \log\left(x\right) + \frac{\Re \left( \operatorname{Ci}\left(3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 9 \, \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 9 \, \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + \Re \left( \operatorname{Ci}\left(-3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 18 \, \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 18 \, \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 36 \, \operatorname{Si}\left(b x\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) + 2 \, \Im \left( \operatorname{Ci}\left(3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \Im \left( \operatorname{Ci}\left(-3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 4 \, \operatorname{Si}\left(3 \, b x\right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} + \Re \left( \operatorname{Ci}\left(3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} + 9 \, \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} + 9 \, \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} + \Re \left( \operatorname{Ci}\left(-3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} - \Re \left( \operatorname{Ci}\left(3 \, b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 9 \, \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 9 \, \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - \Re \left( \operatorname{Ci}\left(-3 \, b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \Im \left( \operatorname{Ci}\left(3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right) - 2 \, \Im \left( \operatorname{Ci}\left(-3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right) + 4 \, \operatorname{Si}\left(3 \, b x\right) \tan\left(\frac{3}{2} \, a\right) - 18 \, \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right) + 18 \, \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right) - 36 \, \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, a\right) - \Re \left( \operatorname{Ci}\left(3 \, b x\right) \right) + 9 \, \Re \left( \operatorname{Ci}\left(b x\right) \right) + 9 \, \Re \left( \operatorname{Ci}\left(-b x\right) \right) - \Re \left( \operatorname{Ci}\left(-3 \, b x\right) \right)}{24 \, {\left(b \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b \tan\left(\frac{3}{2} \, a\right)^{2} + b \tan\left(\frac{1}{2} \, a\right)^{2} + b\right)}}"," ",0,"1/3*(cos(b*x + a)^3/b - 3*cos(b*x + a)/b)*log(x) + 1/24*(real_part(cos_integral(3*b*x))*tan(3/2*a)^2*tan(1/2*a)^2 - 9*real_part(cos_integral(b*x))*tan(3/2*a)^2*tan(1/2*a)^2 - 9*real_part(cos_integral(-b*x))*tan(3/2*a)^2*tan(1/2*a)^2 + real_part(cos_integral(-3*b*x))*tan(3/2*a)^2*tan(1/2*a)^2 - 18*imag_part(cos_integral(b*x))*tan(3/2*a)^2*tan(1/2*a) + 18*imag_part(cos_integral(-b*x))*tan(3/2*a)^2*tan(1/2*a) - 36*sin_integral(b*x)*tan(3/2*a)^2*tan(1/2*a) + 2*imag_part(cos_integral(3*b*x))*tan(3/2*a)*tan(1/2*a)^2 - 2*imag_part(cos_integral(-3*b*x))*tan(3/2*a)*tan(1/2*a)^2 + 4*sin_integral(3*b*x)*tan(3/2*a)*tan(1/2*a)^2 + real_part(cos_integral(3*b*x))*tan(3/2*a)^2 + 9*real_part(cos_integral(b*x))*tan(3/2*a)^2 + 9*real_part(cos_integral(-b*x))*tan(3/2*a)^2 + real_part(cos_integral(-3*b*x))*tan(3/2*a)^2 - real_part(cos_integral(3*b*x))*tan(1/2*a)^2 - 9*real_part(cos_integral(b*x))*tan(1/2*a)^2 - 9*real_part(cos_integral(-b*x))*tan(1/2*a)^2 - real_part(cos_integral(-3*b*x))*tan(1/2*a)^2 + 2*imag_part(cos_integral(3*b*x))*tan(3/2*a) - 2*imag_part(cos_integral(-3*b*x))*tan(3/2*a) + 4*sin_integral(3*b*x)*tan(3/2*a) - 18*imag_part(cos_integral(b*x))*tan(1/2*a) + 18*imag_part(cos_integral(-b*x))*tan(1/2*a) - 36*sin_integral(b*x)*tan(1/2*a) - real_part(cos_integral(3*b*x)) + 9*real_part(cos_integral(b*x)) + 9*real_part(cos_integral(-b*x)) - real_part(cos_integral(-3*b*x)))/(b*tan(3/2*a)^2*tan(1/2*a)^2 + b*tan(3/2*a)^2 + b*tan(1/2*a)^2 + b)","C",0
157,1,108,0,0.190682," ","integrate(cos(b*x+a)*log(x),x, algorithm=""giac"")","\frac{\log\left(x\right) \sin\left(b x + a\right)}{b} + \frac{\Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right) - 2 \, \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right) - \Im \left( \operatorname{Ci}\left(b x\right) \right) + \Im \left( \operatorname{Ci}\left(-b x\right) \right) - 2 \, \operatorname{Si}\left(b x\right)}{2 \, {\left(b \tan\left(\frac{1}{2} \, a\right)^{2} + b\right)}}"," ",0,"log(x)*sin(b*x + a)/b + 1/2*(imag_part(cos_integral(b*x))*tan(1/2*a)^2 - imag_part(cos_integral(-b*x))*tan(1/2*a)^2 + 2*sin_integral(b*x)*tan(1/2*a)^2 - 2*real_part(cos_integral(b*x))*tan(1/2*a) - 2*real_part(cos_integral(-b*x))*tan(1/2*a) - imag_part(cos_integral(b*x)) + imag_part(cos_integral(-b*x)) - 2*sin_integral(b*x))/(b*tan(1/2*a)^2 + b)","C",0
158,1,122,0,0.212040," ","integrate(cos(b*x+a)^2*log(x),x, algorithm=""giac"")","\frac{1}{4} \, {\left(2 \, x + \frac{\sin\left(2 \, b x + 2 \, a\right)}{b}\right)} \log\left(x\right) - \frac{4 \, b x \tan\left(a\right)^{2} - \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) \tan\left(a\right)^{2} + \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) \tan\left(a\right)^{2} - 2 \, \operatorname{Si}\left(2 \, b x\right) \tan\left(a\right)^{2} + 4 \, b x + 2 \, \Re \left( \operatorname{Ci}\left(2 \, b x\right) \right) \tan\left(a\right) + 2 \, \Re \left( \operatorname{Ci}\left(-2 \, b x\right) \right) \tan\left(a\right) + \Im \left( \operatorname{Ci}\left(2 \, b x\right) \right) - \Im \left( \operatorname{Ci}\left(-2 \, b x\right) \right) + 2 \, \operatorname{Si}\left(2 \, b x\right)}{8 \, {\left(b \tan\left(a\right)^{2} + b\right)}}"," ",0,"1/4*(2*x + sin(2*b*x + 2*a)/b)*log(x) - 1/8*(4*b*x*tan(a)^2 - imag_part(cos_integral(2*b*x))*tan(a)^2 + imag_part(cos_integral(-2*b*x))*tan(a)^2 - 2*sin_integral(2*b*x)*tan(a)^2 + 4*b*x + 2*real_part(cos_integral(2*b*x))*tan(a) + 2*real_part(cos_integral(-2*b*x))*tan(a) + imag_part(cos_integral(2*b*x)) - imag_part(cos_integral(-2*b*x)) + 2*sin_integral(2*b*x))/(b*tan(a)^2 + b)","C",0
159,1,495,0,0.253751," ","integrate(cos(b*x+a)^3*log(x),x, algorithm=""giac"")","-\frac{{\left(\sin\left(b x + a\right)^{3} - 3 \, \sin\left(b x + a\right)\right)} \log\left(x\right)}{3 \, b} + \frac{\Im \left( \operatorname{Ci}\left(3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 9 \, \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 9 \, \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - \Im \left( \operatorname{Ci}\left(-3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 2 \, \operatorname{Si}\left(3 \, b x\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + 18 \, \operatorname{Si}\left(b x\right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} - 18 \, \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 18 \, \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right) - 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right) \tan\left(\frac{1}{2} \, a\right)^{2} + \Im \left( \operatorname{Ci}\left(3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} - 9 \, \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} + 9 \, \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} - \Im \left( \operatorname{Ci}\left(-3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right)^{2} + 2 \, \operatorname{Si}\left(3 \, b x\right) \tan\left(\frac{3}{2} \, a\right)^{2} - 18 \, \operatorname{Si}\left(b x\right) \tan\left(\frac{3}{2} \, a\right)^{2} - \Im \left( \operatorname{Ci}\left(3 \, b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + 9 \, \Im \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 9 \, \Im \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} + \Im \left( \operatorname{Ci}\left(-3 \, b x\right) \right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \operatorname{Si}\left(3 \, b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} + 18 \, \operatorname{Si}\left(b x\right) \tan\left(\frac{1}{2} \, a\right)^{2} - 2 \, \Re \left( \operatorname{Ci}\left(3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right) - 2 \, \Re \left( \operatorname{Ci}\left(-3 \, b x\right) \right) \tan\left(\frac{3}{2} \, a\right) - 18 \, \Re \left( \operatorname{Ci}\left(b x\right) \right) \tan\left(\frac{1}{2} \, a\right) - 18 \, \Re \left( \operatorname{Ci}\left(-b x\right) \right) \tan\left(\frac{1}{2} \, a\right) - \Im \left( \operatorname{Ci}\left(3 \, b x\right) \right) - 9 \, \Im \left( \operatorname{Ci}\left(b x\right) \right) + 9 \, \Im \left( \operatorname{Ci}\left(-b x\right) \right) + \Im \left( \operatorname{Ci}\left(-3 \, b x\right) \right) - 2 \, \operatorname{Si}\left(3 \, b x\right) - 18 \, \operatorname{Si}\left(b x\right)}{24 \, {\left(b \tan\left(\frac{3}{2} \, a\right)^{2} \tan\left(\frac{1}{2} \, a\right)^{2} + b \tan\left(\frac{3}{2} \, a\right)^{2} + b \tan\left(\frac{1}{2} \, a\right)^{2} + b\right)}}"," ",0,"-1/3*(sin(b*x + a)^3 - 3*sin(b*x + a))*log(x)/b + 1/24*(imag_part(cos_integral(3*b*x))*tan(3/2*a)^2*tan(1/2*a)^2 + 9*imag_part(cos_integral(b*x))*tan(3/2*a)^2*tan(1/2*a)^2 - 9*imag_part(cos_integral(-b*x))*tan(3/2*a)^2*tan(1/2*a)^2 - imag_part(cos_integral(-3*b*x))*tan(3/2*a)^2*tan(1/2*a)^2 + 2*sin_integral(3*b*x)*tan(3/2*a)^2*tan(1/2*a)^2 + 18*sin_integral(b*x)*tan(3/2*a)^2*tan(1/2*a)^2 - 18*real_part(cos_integral(b*x))*tan(3/2*a)^2*tan(1/2*a) - 18*real_part(cos_integral(-b*x))*tan(3/2*a)^2*tan(1/2*a) - 2*real_part(cos_integral(3*b*x))*tan(3/2*a)*tan(1/2*a)^2 - 2*real_part(cos_integral(-3*b*x))*tan(3/2*a)*tan(1/2*a)^2 + imag_part(cos_integral(3*b*x))*tan(3/2*a)^2 - 9*imag_part(cos_integral(b*x))*tan(3/2*a)^2 + 9*imag_part(cos_integral(-b*x))*tan(3/2*a)^2 - imag_part(cos_integral(-3*b*x))*tan(3/2*a)^2 + 2*sin_integral(3*b*x)*tan(3/2*a)^2 - 18*sin_integral(b*x)*tan(3/2*a)^2 - imag_part(cos_integral(3*b*x))*tan(1/2*a)^2 + 9*imag_part(cos_integral(b*x))*tan(1/2*a)^2 - 9*imag_part(cos_integral(-b*x))*tan(1/2*a)^2 + imag_part(cos_integral(-3*b*x))*tan(1/2*a)^2 - 2*sin_integral(3*b*x)*tan(1/2*a)^2 + 18*sin_integral(b*x)*tan(1/2*a)^2 - 2*real_part(cos_integral(3*b*x))*tan(3/2*a) - 2*real_part(cos_integral(-3*b*x))*tan(3/2*a) - 18*real_part(cos_integral(b*x))*tan(1/2*a) - 18*real_part(cos_integral(-b*x))*tan(1/2*a) - imag_part(cos_integral(3*b*x)) - 9*imag_part(cos_integral(b*x)) + 9*imag_part(cos_integral(-b*x)) + imag_part(cos_integral(-3*b*x)) - 2*sin_integral(3*b*x) - 18*sin_integral(b*x))/(b*tan(3/2*a)^2*tan(1/2*a)^2 + b*tan(3/2*a)^2 + b*tan(1/2*a)^2 + b)","C",0
160,1,5,0,0.170541," ","integrate(cos(x)*log(x)+sin(x)/x,x, algorithm=""giac"")","\log\left(x\right) \sin\left(x\right)"," ",0,"log(x)*sin(x)","A",0
161,0,0,0,0.000000," ","integrate(log(a*sin(x)),x, algorithm=""giac"")","\int \log\left(a \sin\left(x\right)\right)\,{d x}"," ",0,"integrate(log(a*sin(x)), x)","F",0
162,0,0,0,0.000000," ","integrate(log(a*sin(x)^2),x, algorithm=""giac"")","\int \log\left(a \sin\left(x\right)^{2}\right)\,{d x}"," ",0,"integrate(log(a*sin(x)^2), x)","F",0
163,0,0,0,0.000000," ","integrate(log(a*sin(x)^n),x, algorithm=""giac"")","\int \log\left(a \sin\left(x\right)^{n}\right)\,{d x}"," ",0,"integrate(log(a*sin(x)^n), x)","F",0
164,0,0,0,0.000000," ","integrate(log(a*cos(x)),x, algorithm=""giac"")","\int \log\left(a \cos\left(x\right)\right)\,{d x}"," ",0,"integrate(log(a*cos(x)), x)","F",0
165,0,0,0,0.000000," ","integrate(log(a*cos(x)^2),x, algorithm=""giac"")","\int \log\left(a \cos\left(x\right)^{2}\right)\,{d x}"," ",0,"integrate(log(a*cos(x)^2), x)","F",0
166,0,0,0,0.000000," ","integrate(log(a*cos(x)^n),x, algorithm=""giac"")","\int \log\left(a \cos\left(x\right)^{n}\right)\,{d x}"," ",0,"integrate(log(a*cos(x)^n), x)","F",0
167,0,0,0,0.000000," ","integrate(log(a*tan(x)),x, algorithm=""giac"")","\int \log\left(a \tan\left(x\right)\right)\,{d x}"," ",0,"integrate(log(a*tan(x)), x)","F",0
168,0,0,0,0.000000," ","integrate(log(a*tan(x)^2),x, algorithm=""giac"")","\int \log\left(a \tan\left(x\right)^{2}\right)\,{d x}"," ",0,"integrate(log(a*tan(x)^2), x)","F",0
169,0,0,0,0.000000," ","integrate(log(a*tan(x)^n),x, algorithm=""giac"")","\int \log\left(a \tan\left(x\right)^{n}\right)\,{d x}"," ",0,"integrate(log(a*tan(x)^n), x)","F",0
170,0,0,0,0.000000," ","integrate(log(a*cot(x)),x, algorithm=""giac"")","\int \log\left(a \cot\left(x\right)\right)\,{d x}"," ",0,"integrate(log(a*cot(x)), x)","F",0
171,0,0,0,0.000000," ","integrate(log(a*cot(x)^2),x, algorithm=""giac"")","\int \log\left(a \cot\left(x\right)^{2}\right)\,{d x}"," ",0,"integrate(log(a*cot(x)^2), x)","F",0
172,0,0,0,0.000000," ","integrate(log(a*cot(x)^n),x, algorithm=""giac"")","\int \log\left(a \cot\left(x\right)^{n}\right)\,{d x}"," ",0,"integrate(log(a*cot(x)^n), x)","F",0
173,0,0,0,0.000000," ","integrate(log(a*sec(x)),x, algorithm=""giac"")","\int \log\left(a \sec\left(x\right)\right)\,{d x}"," ",0,"integrate(log(a*sec(x)), x)","F",0
174,0,0,0,0.000000," ","integrate(log(a*sec(x)^2),x, algorithm=""giac"")","\int \log\left(a \sec\left(x\right)^{2}\right)\,{d x}"," ",0,"integrate(log(a*sec(x)^2), x)","F",0
175,0,0,0,0.000000," ","integrate(log(a*sec(x)^n),x, algorithm=""giac"")","\int \log\left(a \sec\left(x\right)^{n}\right)\,{d x}"," ",0,"integrate(log(a*sec(x)^n), x)","F",0
176,0,0,0,0.000000," ","integrate(log(a*csc(x)),x, algorithm=""giac"")","\int \log\left(a \csc\left(x\right)\right)\,{d x}"," ",0,"integrate(log(a*csc(x)), x)","F",0
177,0,0,0,0.000000," ","integrate(log(a*csc(x)^2),x, algorithm=""giac"")","\int \log\left(a \csc\left(x\right)^{2}\right)\,{d x}"," ",0,"integrate(log(a*csc(x)^2), x)","F",0
178,0,0,0,0.000000," ","integrate(log(a*csc(x)^n),x, algorithm=""giac"")","\int \log\left(a \csc\left(x\right)^{n}\right)\,{d x}"," ",0,"integrate(log(a*csc(x)^n), x)","F",0
179,1,13,0,0.181034," ","integrate(cos(x)*log(1/2-1/2*cos(2*x)),x, algorithm=""giac"")","\log\left(\sin\left(x\right)^{2}\right) \sin\left(x\right) - 2 \, \sin\left(x\right)"," ",0,"log(sin(x)^2)*sin(x) - 2*sin(x)","A",0
180,1,32,0,0.170954," ","integrate(cot(x)/log(E*sin(x)),x, algorithm=""giac"")","\frac{1}{2} \, \log\left(\frac{1}{4} \, {\left(\pi {\left(\mathrm{sgn}\left(E\right) - 1\right)} + \pi {\left(\mathrm{sgn}\left(\sin\left(x\right)\right) - 1\right)}\right)}^{2} + {\left(\log\left({\left| E \right|}\right) + \log\left({\left| \sin\left(x\right) \right|}\right)\right)}^{2}\right)"," ",0,"1/2*log(1/4*(pi*(sgn(E) - 1) + pi*(sgn(sin(x)) - 1))^2 + (log(abs(E)) + log(abs(sin(x))))^2)","B",0
181,1,6,0,0.154481," ","integrate(cot(x)/log(exp(sin(x))),x, algorithm=""giac"")","-\frac{1}{\sin\left(x\right)}"," ",0,"-1/sin(x)","A",0
182,1,12,0,0.180614," ","integrate(log(cos(x))*sec(x)^2,x, algorithm=""giac"")","\log\left(\cos\left(x\right)\right) \tan\left(x\right) - x + \tan\left(x\right)"," ",0,"log(cos(x))*tan(x) - x + tan(x)","A",0
183,1,7,0,0.186236," ","integrate(cot(x)*log(sin(x)),x, algorithm=""giac"")","\frac{1}{2} \, \log\left(\sin\left(x\right)\right)^{2}"," ",0,"1/2*log(sin(x))^2","A",0
184,1,16,0,0.186112," ","integrate(cos(x)*log(sin(x))*sin(x)^2,x, algorithm=""giac"")","\frac{1}{3} \, \log\left(\sin\left(x\right)\right) \sin\left(x\right)^{3} - \frac{1}{9} \, \sin\left(x\right)^{3}"," ",0,"1/3*log(sin(x))*sin(x)^3 - 1/9*sin(x)^3","A",0
185,1,42,0,0.929538," ","integrate(cos(b*x+a)*log(cos(1/2*a+1/2*b*x)*sin(1/2*a+1/2*b*x)),x, algorithm=""giac"")","\frac{\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(b x + a\right)}{b} - \frac{\sin\left(b x + a\right)}{b}"," ",0,"log(cos(1/2*b*x + 1/2*a)*sin(1/2*b*x + 1/2*a))*sin(b*x + a)/b - sin(b*x + a)/b","A",0
186,1,7,0,0.158626," ","integrate(tan(x)/log(cos(x)),x, algorithm=""giac"")","-\log\left({\left| \log\left(\cos\left(x\right)\right) \right|}\right)"," ",0,"-log(abs(log(cos(x))))","A",0
187,1,7,0,0.155456," ","integrate(log(cos(x))*tan(x),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(\cos\left(x\right)\right)^{2}"," ",0,"-1/2*log(cos(x))^2","A",0
188,1,10,0,0.166472," ","integrate(log(cos(x))*sin(x),x, algorithm=""giac"")","-\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
189,1,27,0,0.184750," ","integrate(cos(x)*log(cos(x)),x, algorithm=""giac"")","\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
190,1,11,0,0.158175," ","integrate(cos(x)*log(sin(x)),x, algorithm=""giac"")","\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
191,0,0,0,0.000000," ","integrate(log(sin(x))*sin(x)^2,x, algorithm=""giac"")","\int \log\left(\sin\left(x\right)\right) \sin\left(x\right)^{2}\,{d x}"," ",0,"integrate(log(sin(x))*sin(x)^2, x)","F",0
192,1,41,0,0.173331," ","integrate(log(sin(x))*sin(x)^3,x, algorithm=""giac"")","-\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(\cos\left(x\right) + 1\right) + \frac{1}{3} \, \log\left(-\cos\left(x\right) + 1\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(cos(x) + 1) + 1/3*log(-cos(x) + 1)","A",0
193,0,0,0,0.000000," ","integrate(log(sin(x^(1/2))),x, algorithm=""giac"")","\int \log\left(\sin\left(\sqrt{x}\right)\right)\,{d x}"," ",0,"integrate(log(sin(sqrt(x))), x)","F",0
194,1,19,0,0.196021," ","integrate(csc(x)^2*log(sin(x)),x, algorithm=""giac"")","-x - \frac{\log\left(\sin\left(x\right)\right)}{\tan\left(x\right)} - \frac{1}{\tan\left(x\right)}"," ",0,"-x - log(sin(x))/tan(x) - 1/tan(x)","A",0
195,1,52,0,0.162578," ","integrate(log(x)*sinh(b*x+a),x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{e^{\left(b x + a\right)}}{b} + \frac{e^{\left(-b x - a\right)}}{b}\right)} \log\left(x\right) - \frac{{\rm Ei}\left(-b x\right) e^{\left(-a\right)} + {\rm Ei}\left(b x\right) e^{a}}{2 \, b}"," ",0,"1/2*(e^(b*x + a)/b + e^(-b*x - a)/b)*log(x) - 1/2*(Ei(-b*x)*e^(-a) + Ei(b*x)*e^a)/b","A",0
196,1,67,0,0.191970," ","integrate(log(x)*sinh(b*x+a)^2,x, algorithm=""giac"")","-\frac{1}{8} \, {\left(4 \, x - \frac{e^{\left(2 \, b x + 2 \, a\right)}}{b} + \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{b}\right)} \log\left(x\right) + \frac{4 \, b x - {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} + {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)}}{8 \, b}"," ",0,"-1/8*(4*x - e^(2*b*x + 2*a)/b + e^(-2*b*x - 2*a)/b)*log(x) + 1/8*(4*b*x - Ei(2*b*x)*e^(2*a) + Ei(-2*b*x)*e^(-2*a))/b","A",0
197,1,102,0,0.205930," ","integrate(log(x)*sinh(b*x+a)^3,x, algorithm=""giac"")","\frac{1}{24} \, {\left(\frac{e^{\left(3 \, b x + 3 \, a\right)}}{b} - \frac{9 \, e^{\left(b x + a\right)}}{b} - \frac{9 \, e^{\left(-b x - a\right)}}{b} + \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{b}\right)} \log\left(x\right) - \frac{{\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} - 9 \, {\rm Ei}\left(-b x\right) e^{\left(-a\right)} + {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} - 9 \, {\rm Ei}\left(b x\right) e^{a}}{24 \, b}"," ",0,"1/24*(e^(3*b*x + 3*a)/b - 9*e^(b*x + a)/b - 9*e^(-b*x - a)/b + e^(-3*b*x - 3*a)/b)*log(x) - 1/24*(Ei(3*b*x)*e^(3*a) - 9*Ei(-b*x)*e^(-a) + Ei(-3*b*x)*e^(-3*a) - 9*Ei(b*x)*e^a)/b","A",0
198,1,54,0,0.171503," ","integrate(cosh(b*x+a)*log(x),x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{e^{\left(b x + a\right)}}{b} - \frac{e^{\left(-b x - a\right)}}{b}\right)} \log\left(x\right) + \frac{{\rm Ei}\left(-b x\right) e^{\left(-a\right)} - {\rm Ei}\left(b x\right) e^{a}}{2 \, b}"," ",0,"1/2*(e^(b*x + a)/b - e^(-b*x - a)/b)*log(x) + 1/2*(Ei(-b*x)*e^(-a) - Ei(b*x)*e^a)/b","A",0
199,1,67,0,0.230944," ","integrate(cosh(b*x+a)^2*log(x),x, algorithm=""giac"")","\frac{1}{8} \, {\left(4 \, x + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{b} - \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{b}\right)} \log\left(x\right) - \frac{4 \, b x + {\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)} - {\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)}}{8 \, b}"," ",0,"1/8*(4*x + e^(2*b*x + 2*a)/b - e^(-2*b*x - 2*a)/b)*log(x) - 1/8*(4*b*x + Ei(2*b*x)*e^(2*a) - Ei(-2*b*x)*e^(-2*a))/b","A",0
200,1,104,0,0.200173," ","integrate(cosh(b*x+a)^3*log(x),x, algorithm=""giac"")","\frac{1}{24} \, {\left(\frac{e^{\left(3 \, b x + 3 \, a\right)}}{b} + \frac{9 \, e^{\left(b x + a\right)}}{b} - \frac{9 \, e^{\left(-b x - a\right)}}{b} - \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{b}\right)} \log\left(x\right) - \frac{{\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} - 9 \, {\rm Ei}\left(-b x\right) e^{\left(-a\right)} - {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} + 9 \, {\rm Ei}\left(b x\right) e^{a}}{24 \, b}"," ",0,"1/24*(e^(3*b*x + 3*a)/b + 9*e^(b*x + a)/b - 9*e^(-b*x - a)/b - e^(-3*b*x - 3*a)/b)*log(x) - 1/24*(Ei(3*b*x)*e^(3*a) - 9*Ei(-b*x)*e^(-a) - Ei(-3*b*x)*e^(-3*a) + 9*Ei(b*x)*e^a)/b","A",0
201,0,0,0,0.000000," ","integrate(log(a*sinh(x)),x, algorithm=""giac"")","\int \log\left(a \sinh\left(x\right)\right)\,{d x}"," ",0,"integrate(log(a*sinh(x)), x)","F",0
202,0,0,0,0.000000," ","integrate(log(a*sinh(x)^2),x, algorithm=""giac"")","\int \log\left(a \sinh\left(x\right)^{2}\right)\,{d x}"," ",0,"integrate(log(a*sinh(x)^2), x)","F",0
203,0,0,0,0.000000," ","integrate(log(a*sinh(x)^n),x, algorithm=""giac"")","\int \log\left(a \sinh\left(x\right)^{n}\right)\,{d x}"," ",0,"integrate(log(a*sinh(x)^n), x)","F",0
204,0,0,0,0.000000," ","integrate(log(a*cosh(x)),x, algorithm=""giac"")","\int \log\left(a \cosh\left(x\right)\right)\,{d x}"," ",0,"integrate(log(a*cosh(x)), x)","F",0
205,0,0,0,0.000000," ","integrate(log(a*cosh(x)^2),x, algorithm=""giac"")","\int \log\left(a \cosh\left(x\right)^{2}\right)\,{d x}"," ",0,"integrate(log(a*cosh(x)^2), x)","F",0
206,0,0,0,0.000000," ","integrate(log(a*cosh(x)^n),x, algorithm=""giac"")","\int \log\left(a \cosh\left(x\right)^{n}\right)\,{d x}"," ",0,"integrate(log(a*cosh(x)^n), x)","F",0
207,0,0,0,0.000000," ","integrate(log(tanh(x)),x, algorithm=""giac"")","\int \log\left(\tanh\left(x\right)\right)\,{d x}"," ",0,"integrate(log(tanh(x)), x)","F",0
208,0,0,0,0.000000," ","integrate(log(a*tanh(x)),x, algorithm=""giac"")","\int \log\left(a \tanh\left(x\right)\right)\,{d x}"," ",0,"integrate(log(a*tanh(x)), x)","F",0
209,0,0,0,0.000000," ","integrate(log(a*tanh(x)^2),x, algorithm=""giac"")","\int \log\left(a \tanh\left(x\right)^{2}\right)\,{d x}"," ",0,"integrate(log(a*tanh(x)^2), x)","F",0
210,0,0,0,0.000000," ","integrate(log(a*tanh(x)^n),x, algorithm=""giac"")","\int \log\left(a \tanh\left(x\right)^{n}\right)\,{d x}"," ",0,"integrate(log(a*tanh(x)^n), x)","F",0
211,0,0,0,0.000000," ","integrate(log(coth(x)),x, algorithm=""giac"")","\int \log\left(\coth\left(x\right)\right)\,{d x}"," ",0,"integrate(log(coth(x)), x)","F",0
212,0,0,0,0.000000," ","integrate(log(a*coth(x)),x, algorithm=""giac"")","\int \log\left(a \coth\left(x\right)\right)\,{d x}"," ",0,"integrate(log(a*coth(x)), x)","F",0
213,0,0,0,0.000000," ","integrate(log(a*coth(x)^2),x, algorithm=""giac"")","\int \log\left(a \coth\left(x\right)^{2}\right)\,{d x}"," ",0,"integrate(log(a*coth(x)^2), x)","F",0
214,0,0,0,0.000000," ","integrate(log(a*coth(x)^n),x, algorithm=""giac"")","\int \log\left(a \coth\left(x\right)^{n}\right)\,{d x}"," ",0,"integrate(log(a*coth(x)^n), x)","F",0
215,0,0,0,0.000000," ","integrate(log(a*sech(x)),x, algorithm=""giac"")","\int \log\left(a \operatorname{sech}\left(x\right)\right)\,{d x}"," ",0,"integrate(log(a*sech(x)), x)","F",0
216,0,0,0,0.000000," ","integrate(log(a*sech(x)^2),x, algorithm=""giac"")","\int \log\left(a \operatorname{sech}\left(x\right)^{2}\right)\,{d x}"," ",0,"integrate(log(a*sech(x)^2), x)","F",0
217,0,0,0,0.000000," ","integrate(log(a*sech(x)^n),x, algorithm=""giac"")","\int \log\left(a \operatorname{sech}\left(x\right)^{n}\right)\,{d x}"," ",0,"integrate(log(a*sech(x)^n), x)","F",0
218,0,0,0,0.000000," ","integrate(log(a*csch(x)),x, algorithm=""giac"")","\int \log\left(a \operatorname{csch}\left(x\right)\right)\,{d x}"," ",0,"integrate(log(a*csch(x)), x)","F",0
219,0,0,0,0.000000," ","integrate(log(a*csch(x)^2),x, algorithm=""giac"")","\int \log\left(a \operatorname{csch}\left(x\right)^{2}\right)\,{d x}"," ",0,"integrate(log(a*csch(x)^2), x)","F",0
220,0,0,0,0.000000," ","integrate(log(a*csch(x)^n),x, algorithm=""giac"")","\int \log\left(a \operatorname{csch}\left(x\right)^{n}\right)\,{d x}"," ",0,"integrate(log(a*csch(x)^n), x)","F",0
221,1,94,0,0.467255," ","integrate(cosh(b*x+a)*log(cosh(1/2*a+1/2*b*x)*sinh(1/2*a+1/2*b*x)),x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{e^{\left(b x + a\right)}}{b} - \frac{e^{\left(-b x - a\right)}}{b}\right)} \log\left(\frac{1}{4} \, {\left(e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} + e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)}\right)} {\left(e^{\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - e^{\left(-\frac{1}{2} \, b x - \frac{1}{2} \, a\right)}\right)}\right) - \frac{e^{\left(b x + a\right)} - e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"1/2*(e^(b*x + a)/b - e^(-b*x - a)/b)*log(1/4*(e^(1/2*b*x + 1/2*a) + e^(-1/2*b*x - 1/2*a))*(e^(1/2*b*x + 1/2*a) - e^(-1/2*b*x - 1/2*a))) - 1/2*(e^(b*x + a) - e^(-b*x - a))/b","B",0
222,1,31,0,0.178619," ","integrate(log(cosh(x)^2)*sinh(x),x, algorithm=""giac"")","{\left(e^{\left(-x\right)} + e^{x}\right)} \log\left(\frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}\right) - e^{\left(-x\right)} - e^{x}"," ",0,"(e^(-x) + e^x)*log(1/2*e^(-x) + 1/2*e^x) - e^(-x) - e^x","B",0
223,1,13,0,0.158204," ","integrate(log(x)/x^(1/2),x, algorithm=""giac"")","2 \, \sqrt{x} \log\left(x\right) - 4 \, \sqrt{x}"," ",0,"2*sqrt(x)*log(x) - 4*sqrt(x)","A",0
224,1,24,0,0.195901," ","integrate(x*log(-3*x^2+2),x, algorithm=""giac"")","-\frac{1}{2} \, x^{2} + \frac{1}{6} \, {\left(3 \, x^{2} - 2\right)} \log\left(-3 \, x^{2} + 2\right) + \frac{1}{3}"," ",0,"-1/2*x^2 + 1/6*(3*x^2 - 2)*log(-3*x^2 + 2) + 1/3","A",0
225,1,3,0,0.163826," ","integrate(1/x/(1-log(x)^2)^(1/2),x, algorithm=""giac"")","\arcsin\left(\log\left(x\right)\right)"," ",0,"arcsin(log(x))","A",0
226,1,22,0,0.158720," ","integrate(16*x^3*log(x)^2,x, algorithm=""giac"")","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
227,1,23,0,0.158143," ","integrate(1/2*log(b*x+a),x, algorithm=""giac"")","-\frac{b x - {\left(b x + a\right)} \log\left(b x + a\right) + a}{2 \, b}"," ",0,"-1/2*(b*x - (b*x + a)*log(b*x + a) + a)/b","A",0
228,1,30,0,0.154725," ","integrate(1/2*x*log(2+x),x, algorithm=""giac"")","\frac{1}{4} \, {\left(x + 2\right)}^{2} \log\left(x + 2\right) - \frac{1}{8} \, {\left(x + 2\right)}^{2} - {\left(x + 2\right)} \log\left(x + 2\right) + x + 2"," ",0,"1/4*(x + 2)^2*log(x + 2) - 1/8*(x + 2)^2 - (x + 2)*log(x + 2) + x + 2","A",0
229,1,42,0,0.161267," ","integrate(1/3*x*log(1+3*x),x, algorithm=""giac"")","\frac{1}{54} \, {\left(3 \, x + 1\right)}^{2} \log\left(3 \, x + 1\right) - \frac{1}{108} \, {\left(3 \, x + 1\right)}^{2} - \frac{1}{27} \, {\left(3 \, x + 1\right)} \log\left(3 \, x + 1\right) + \frac{1}{9} \, x + \frac{1}{27}"," ",0,"1/54*(3*x + 1)^2*log(3*x + 1) - 1/108*(3*x + 1)^2 - 1/27*(3*x + 1)*log(3*x + 1) + 1/9*x + 1/27","A",0
230,1,25,0,0.162335," ","integrate(x*log(x^3+x),x, algorithm=""giac"")","\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
231,1,22,0,0.183260," ","integrate(log(x+(x^2+1)^(1/2)),x, algorithm=""giac"")","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
232,1,22,0,0.161869," ","integrate(log(x+(x^2-1)^(1/2)),x, algorithm=""giac"")","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
233,1,22,0,0.159825," ","integrate(log(x-(x^2-1)^(1/2)),x, algorithm=""giac"")","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
234,1,40,0,0.177660," ","integrate(log(x^(1/2)+(1+x)^(1/2)),x, algorithm=""giac"")","x \log\left(\sqrt{x + 1} + \sqrt{x}\right) - \frac{1}{2} \, \sqrt{x^{2} + x} - \frac{1}{4} \, \log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} + x} - 1 \right|}\right)"," ",0,"x*log(sqrt(x + 1) + sqrt(x)) - 1/2*sqrt(x^2 + x) - 1/4*log(abs(-2*x + 2*sqrt(x^2 + x) - 1))","A",0
235,1,13,0,0.158359," ","integrate(x^(1/3)*log(x),x, algorithm=""giac"")","\frac{3}{4} \, x^{\frac{4}{3}} \log\left(x\right) - \frac{9}{16} \, x^{\frac{4}{3}}"," ",0,"3/4*x^(4/3)*log(x) - 9/16*x^(4/3)","A",0
236,1,14,0,0.160595," ","integrate(2^log(x),x, algorithm=""giac"")","\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
237,1,6,0,0.158282," ","integrate((1-log(x))/x^2,x, algorithm=""giac"")","\frac{\log\left(x\right)}{x}"," ",0,"log(x)/x","A",0
238,1,33,0,0.183276," ","integrate(log(1+x+(1+x)^(1/2)),x, algorithm=""giac"")","{\left(x + 1\right)} \log\left(x + \sqrt{x + 1} + 1\right) - x + \sqrt{x + 1} - \log\left(\sqrt{x + 1} + 1\right) - 1"," ",0,"(x + 1)*log(x + sqrt(x + 1) + 1) - x + sqrt(x + 1) - log(sqrt(x + 1) + 1) - 1","A",0
239,1,16,0,0.160614," ","integrate(log(x^3+x),x, algorithm=""giac"")","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
240,1,23,0,0.178434," ","integrate(2^log(-8+7*x),x, algorithm=""giac"")","\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
241,1,139,0,0.187128," ","integrate(log((-11+5*x)/(5+76*x)),x, algorithm=""giac"")","-\frac{861 \, \log\left(\frac{\frac{5 \, {\left(\frac{5 \, {\left(5 \, x - 11\right)}}{76 \, x + 5} + 11\right)}}{\frac{76 \, {\left(5 \, x - 11\right)}}{76 \, x + 5} - 5} + 11}{\frac{76 \, {\left(\frac{5 \, {\left(5 \, x - 11\right)}}{76 \, x + 5} + 11\right)}}{\frac{76 \, {\left(5 \, x - 11\right)}}{76 \, x + 5} - 5} - 5}\right)}{76 \, {\left(\frac{76 \, {\left(5 \, x - 11\right)}}{76 \, x + 5} - 5\right)}} - \frac{861}{380} \, \log\left(\frac{{\left| 5 \, x - 11 \right|}}{{\left| 76 \, x + 5 \right|}}\right) + \frac{861}{380} \, \log\left({\left| \frac{76 \, {\left(5 \, x - 11\right)}}{76 \, x + 5} - 5 \right|}\right)"," ",0,"-861/76*log((5*(5*(5*x - 11)/(76*x + 5) + 11)/(76*(5*x - 11)/(76*x + 5) - 5) + 11)/(76*(5*(5*x - 11)/(76*x + 5) + 11)/(76*(5*x - 11)/(76*x + 5) - 5) - 5))/(76*(5*x - 11)/(76*x + 5) - 5) - 861/380*log(abs(5*x - 11)/abs(76*x + 5)) + 861/380*log(abs(76*(5*x - 11)/(76*x + 5) - 5))","B",0
242,1,12,0,0.171754," ","integrate(log(1/(13+x)),x, algorithm=""giac"")","-{\left(x + 13\right)} \log\left(x + 13\right) + x + 13"," ",0,"-(x + 13)*log(x + 13) + x + 13","A",0
243,1,29,0,0.167769," ","integrate(x*log((1+x)/x^2),x, algorithm=""giac"")","\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({\left| x + 1 \right|}\right)"," ",0,"1/2*x^2*log((x + 1)/x^2) + 1/4*x^2 + 1/2*x - 1/2*log(abs(x + 1))","A",0
244,1,43,0,0.174483," ","integrate(x^3*log((7+5*x)/x^2),x, algorithm=""giac"")","\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({\left| 5 \, x + 7 \right|}\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(abs(5*x + 7))","A",0
245,1,31,0,0.160442," ","integrate((b*x+a)*log(b*x+a),x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{2} \log\left(b x + a\right)}{2 \, b} - \frac{{\left(b x + a\right)}^{2}}{4 \, b}"," ",0,"1/2*(b*x + a)^2*log(b*x + a)/b - 1/4*(b*x + a)^2/b","A",0
246,1,31,0,0.220601," ","integrate((b*x+a)^2*log(b*x+a),x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{3} \log\left(b x + a\right)}{3 \, b} - \frac{{\left(b x + a\right)}^{3}}{9 \, b}"," ",0,"1/3*(b*x + a)^3*log(b*x + a)/b - 1/9*(b*x + a)^3/b","A",0
247,1,13,0,0.161705," ","integrate(log(b*x+a)/(b*x+a),x, algorithm=""giac"")","\frac{\log\left(b x + a\right)^{2}}{2 \, b}"," ",0,"1/2*log(b*x + a)^2/b","A",0
248,1,32,0,0.174800," ","integrate(log(b*x+a)/(b*x+a)^2,x, algorithm=""giac"")","-b {\left(\frac{\log\left(b x + a\right)}{{\left(b x + a\right)} b^{2}} + \frac{1}{{\left(b x + a\right)} b^{2}}\right)}"," ",0,"-b*(log(b*x + a)/((b*x + a)*b^2) + 1/((b*x + a)*b^2))","A",0
249,0,0,0,0.000000," ","integrate((b*x+a)^n*log(b*x+a),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{n} \log\left(b x + a\right)\,{d x}"," ",0,"integrate((b*x + a)^n*log(b*x + a), x)","F",0
250,1,45,0,0.159024," ","integrate(1/(a*x+b*x*log(c*x^n)),x, algorithm=""giac"")","\frac{\log\left(\frac{1}{4} \, {\left(\pi b n {\left(\mathrm{sgn}\left(x\right) - 1\right)} + \pi b {\left(\mathrm{sgn}\left(c\right) - 1\right)}\right)}^{2} + {\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right) + a\right)}^{2}\right)}{2 \, b n}"," ",0,"1/2*log(1/4*(pi*b*n*(sgn(x) - 1) + pi*b*(sgn(c) - 1))^2 + (b*n*log(abs(x)) + b*log(abs(c)) + a)^2)/(b*n)","B",0
251,1,26,0,0.157959," ","integrate(1/(a*x+b*x*log(c*x^n)^2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{b n \log\left(x\right) + b \log\left(c\right)}{\sqrt{a b}}\right)}{\sqrt{a b} n}"," ",0,"arctan((b*n*log(x) + b*log(c))/sqrt(a*b))/(sqrt(a*b)*n)","A",0
252,1,239,0,0.208595," ","integrate(1/(a*x+b*x*log(c*x^n)^3),x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{3} \left(\frac{1}{a^{2} b n^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} \pi b {\left(\mathrm{sgn}\left(c\right) - 1\right)} - 2 \, b n \log\left(x\right) - 2 \, b \log\left({\left| c \right|}\right) - 2 \, \left(a b^{2}\right)^{\frac{1}{3}}}{2 \, \sqrt{3} b n \log\left(x\right) + \pi b {\left(\mathrm{sgn}\left(c\right) - 1\right)} + 2 \, \sqrt{3} b \log\left({\left| c \right|}\right) - 2 \, \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}}\right) + \frac{1}{6} \, \left(\frac{1}{a^{2} b n^{3}}\right)^{\frac{1}{3}} \log\left(\frac{1}{4} \, {\left(\pi b n {\left(\mathrm{sgn}\left(x\right) - 1\right)} + \pi b {\left(\mathrm{sgn}\left(c\right) - 1\right)}\right)}^{2} + {\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right) + \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right) - \frac{1}{6} \, \left(\frac{1}{a^{2} b n^{3}}\right)^{\frac{1}{3}} \log\left({\left(\sqrt{3} \pi b {\left(\mathrm{sgn}\left(c\right) - 1\right)} - 2 \, b n \log\left(x\right) - 2 \, b \log\left({\left| c \right|}\right) - 2 \, \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2} + {\left(2 \, \sqrt{3} b n \log\left(x\right) + \pi b {\left(\mathrm{sgn}\left(c\right) - 1\right)} + 2 \, \sqrt{3} b \log\left({\left| c \right|}\right) - 2 \, \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right)"," ",0,"1/3*sqrt(3)*(1/(a^2*b*n^3))^(1/3)*arctan((sqrt(3)*pi*b*(sgn(c) - 1) - 2*b*n*log(x) - 2*b*log(abs(c)) - 2*(a*b^2)^(1/3))/(2*sqrt(3)*b*n*log(x) + pi*b*(sgn(c) - 1) + 2*sqrt(3)*b*log(abs(c)) - 2*sqrt(3)*(a*b^2)^(1/3))) + 1/6*(1/(a^2*b*n^3))^(1/3)*log(1/4*(pi*b*n*(sgn(x) - 1) + pi*b*(sgn(c) - 1))^2 + (b*n*log(abs(x)) + b*log(abs(c)) + (a*b^2)^(1/3))^2) - 1/6*(1/(a^2*b*n^3))^(1/3)*log((sqrt(3)*pi*b*(sgn(c) - 1) - 2*b*n*log(x) - 2*b*log(abs(c)) - 2*(a*b^2)^(1/3))^2 + (2*sqrt(3)*b*n*log(x) + pi*b*(sgn(c) - 1) + 2*sqrt(3)*b*log(abs(c)) - 2*sqrt(3)*(a*b^2)^(1/3))^2)","B",0
253,1,170,0,0.215315," ","integrate(1/(a*x+b*x*log(c*x^n)^4),x, algorithm=""giac"")","-\frac{1}{2} \, \left(-\frac{1}{a^{3} b n^{4}}\right)^{\frac{1}{4}} \arctan\left(\frac{\pi b {\left(\mathrm{sgn}\left(c\right) - 1\right)} + 2 \, \left(-a b^{3}\right)^{\frac{1}{4}}}{2 \, {\left(b n \log\left(x\right) + b \log\left({\left| c \right|}\right)\right)}}\right) + \frac{1}{8} \, \left(-\frac{1}{a^{3} b n^{4}}\right)^{\frac{1}{4}} \log\left(\frac{1}{4} \, {\left(\pi b n {\left(\mathrm{sgn}\left(x\right) - 1\right)} + \pi b {\left(\mathrm{sgn}\left(c\right) - 1\right)}\right)}^{2} + {\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right) + \left(-a b^{3}\right)^{\frac{1}{4}}\right)}^{2}\right) - \frac{1}{8} \, \left(-\frac{1}{a^{3} b n^{4}}\right)^{\frac{1}{4}} \log\left(\frac{1}{4} \, {\left(\pi b n {\left(\mathrm{sgn}\left(x\right) - 1\right)} + \pi b {\left(\mathrm{sgn}\left(c\right) - 1\right)}\right)}^{2} + {\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right) - \left(-a b^{3}\right)^{\frac{1}{4}}\right)}^{2}\right)"," ",0,"-1/2*(-1/(a^3*b*n^4))^(1/4)*arctan(1/2*(pi*b*(sgn(c) - 1) + 2*(-a*b^3)^(1/4))/(b*n*log(x) + b*log(abs(c)))) + 1/8*(-1/(a^3*b*n^4))^(1/4)*log(1/4*(pi*b*n*(sgn(x) - 1) + pi*b*(sgn(c) - 1))^2 + (b*n*log(abs(x)) + b*log(abs(c)) + (-a*b^3)^(1/4))^2) - 1/8*(-1/(a^3*b*n^4))^(1/4)*log(1/4*(pi*b*n*(sgn(x) - 1) + pi*b*(sgn(c) - 1))^2 + (b*n*log(abs(x)) + b*log(abs(c)) - (-a*b^3)^(1/4))^2)","A",0
254,1,53,0,0.165583," ","integrate(1/(a*x+b*x/log(c*x^n)),x, algorithm=""giac"")","\frac{\log\left(x\right)}{a} - \frac{b \log\left(\frac{1}{4} \, {\left(\pi a n {\left(\mathrm{sgn}\left(x\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(c\right) - 1\right)}\right)}^{2} + {\left(a n \log\left({\left| x \right|}\right) + a \log\left({\left| c \right|}\right) + b\right)}^{2}\right)}{2 \, a^{2} n}"," ",0,"log(x)/a - 1/2*b*log(1/4*(pi*a*n*(sgn(x) - 1) + pi*a*(sgn(c) - 1))^2 + (a*n*log(abs(x)) + a*log(abs(c)) + b)^2)/(a^2*n)","A",0
255,1,38,0,0.164274," ","integrate(1/(a*x+b*x/log(c*x^n)^2),x, algorithm=""giac"")","\frac{\log\left(x\right)}{a} - \frac{b \arctan\left(\frac{a n \log\left(x\right) + a \log\left(c\right)}{\sqrt{a b}}\right)}{\sqrt{a b} a n}"," ",0,"log(x)/a - b*arctan((a*n*log(x) + a*log(c))/sqrt(a*b))/(sqrt(a*b)*a*n)","A",0
256,1,257,0,0.222746," ","integrate(1/(a*x+b*x/log(c*x^n)^3),x, algorithm=""giac"")","\frac{\log\left(x\right)}{a} + \frac{2 \, \sqrt{3} \left(-\frac{b n^{6}}{a}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} \pi a {\left(\mathrm{sgn}\left(c\right) - 1\right)} - 2 \, a n \log\left(x\right) - 2 \, a \log\left({\left| c \right|}\right) + 2 \, \left(-a^{2} b\right)^{\frac{1}{3}}}{2 \, \sqrt{3} a n \log\left(x\right) + \pi a {\left(\mathrm{sgn}\left(c\right) - 1\right)} + 2 \, \sqrt{3} a \log\left({\left| c \right|}\right) + 2 \, \sqrt{3} \left(-a^{2} b\right)^{\frac{1}{3}}}\right) + \left(-\frac{b n^{6}}{a}\right)^{\frac{1}{3}} \log\left(\frac{1}{4} \, {\left(\pi a n {\left(\mathrm{sgn}\left(x\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(c\right) - 1\right)}\right)}^{2} + {\left(a n \log\left({\left| x \right|}\right) + a \log\left({\left| c \right|}\right) - \left(-a^{2} b\right)^{\frac{1}{3}}\right)}^{2}\right) - \left(-\frac{b n^{6}}{a}\right)^{\frac{1}{3}} \log\left({\left(\sqrt{3} \pi a {\left(\mathrm{sgn}\left(c\right) - 1\right)} - 2 \, a n \log\left(x\right) - 2 \, a \log\left({\left| c \right|}\right) + 2 \, \left(-a^{2} b\right)^{\frac{1}{3}}\right)}^{2} + {\left(2 \, \sqrt{3} a n \log\left(x\right) + \pi a {\left(\mathrm{sgn}\left(c\right) - 1\right)} + 2 \, \sqrt{3} a \log\left({\left| c \right|}\right) + 2 \, \sqrt{3} \left(-a^{2} b\right)^{\frac{1}{3}}\right)}^{2}\right)}{6 \, a n^{3}}"," ",0,"log(x)/a + 1/6*(2*sqrt(3)*(-b*n^6/a)^(1/3)*arctan((sqrt(3)*pi*a*(sgn(c) - 1) - 2*a*n*log(x) - 2*a*log(abs(c)) + 2*(-a^2*b)^(1/3))/(2*sqrt(3)*a*n*log(x) + pi*a*(sgn(c) - 1) + 2*sqrt(3)*a*log(abs(c)) + 2*sqrt(3)*(-a^2*b)^(1/3))) + (-b*n^6/a)^(1/3)*log(1/4*(pi*a*n*(sgn(x) - 1) + pi*a*(sgn(c) - 1))^2 + (a*n*log(abs(x)) + a*log(abs(c)) - (-a^2*b)^(1/3))^2) - (-b*n^6/a)^(1/3)*log((sqrt(3)*pi*a*(sgn(c) - 1) - 2*a*n*log(x) - 2*a*log(abs(c)) + 2*(-a^2*b)^(1/3))^2 + (2*sqrt(3)*a*n*log(x) + pi*a*(sgn(c) - 1) + 2*sqrt(3)*a*log(abs(c)) + 2*sqrt(3)*(-a^2*b)^(1/3))^2))/(a*n^3)","B",0
257,1,178,0,0.213079," ","integrate(1/(a*x+b*x/log(c*x^n)^4),x, algorithm=""giac"")","\frac{\log\left(x\right)}{a} - \frac{4 \, \left(-\frac{b n^{12}}{a}\right)^{\frac{1}{4}} \arctan\left(\frac{\pi a {\left(\mathrm{sgn}\left(c\right) - 1\right)} - 2 \, \left(-a^{3} b\right)^{\frac{1}{4}}}{2 \, {\left(a n \log\left(x\right) + a \log\left({\left| c \right|}\right)\right)}}\right) + \left(-\frac{b n^{12}}{a}\right)^{\frac{1}{4}} \log\left(\frac{1}{4} \, {\left(\pi a n {\left(\mathrm{sgn}\left(x\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(c\right) - 1\right)}\right)}^{2} + {\left(a n \log\left({\left| x \right|}\right) + a \log\left({\left| c \right|}\right) + \left(-a^{3} b\right)^{\frac{1}{4}}\right)}^{2}\right) - \left(-\frac{b n^{12}}{a}\right)^{\frac{1}{4}} \log\left(\frac{1}{4} \, {\left(\pi a n {\left(\mathrm{sgn}\left(x\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(c\right) - 1\right)}\right)}^{2} + {\left(a n \log\left({\left| x \right|}\right) + a \log\left({\left| c \right|}\right) - \left(-a^{3} b\right)^{\frac{1}{4}}\right)}^{2}\right)}{8 \, a n^{4}}"," ",0,"log(x)/a - 1/8*(4*(-b*n^12/a)^(1/4)*arctan(1/2*(pi*a*(sgn(c) - 1) - 2*(-a^3*b)^(1/4))/(a*n*log(x) + a*log(abs(c)))) + (-b*n^12/a)^(1/4)*log(1/4*(pi*a*n*(sgn(x) - 1) + pi*a*(sgn(c) - 1))^2 + (a*n*log(abs(x)) + a*log(abs(c)) + (-a^3*b)^(1/4))^2) - (-b*n^12/a)^(1/4)*log(1/4*(pi*a*n*(sgn(x) - 1) + pi*a*(sgn(c) - 1))^2 + (a*n*log(abs(x)) + a*log(abs(c)) - (-a^3*b)^(1/4))^2))/(a*n^4)","A",0
258,0,0,0,0.000000," ","integrate(1/(x+x*log(7*x)+x*log(7*x)^2),x, algorithm=""giac"")","\int \frac{1}{x \log\left(7 \, x\right)^{2} + x \log\left(7 \, x\right) + x}\,{d x}"," ",0,"integrate(1/(x*log(7*x)^2 + x*log(7*x) + x), x)","F",0
259,0,0,0,0.000000," ","integrate((-1+log(3*x))/x/(1-log(3*x)+log(3*x)^2),x, algorithm=""giac"")","\int \frac{\log\left(3 \, x\right) - 1}{{\left(\log\left(3 \, x\right)^{2} - \log\left(3 \, x\right) + 1\right)} x}\,{d x}"," ",0,"integrate((log(3*x) - 1)/((log(3*x)^2 - log(3*x) + 1)*x), x)","F",0
260,0,0,0,0.000000," ","integrate((-1+log(3*x)^2)/(x+x*log(3*x)^3),x, algorithm=""giac"")","\int \frac{\log\left(3 \, x\right)^{2} - 1}{x \log\left(3 \, x\right)^{3} + x}\,{d x}"," ",0,"integrate((log(3*x)^2 - 1)/(x*log(3*x)^3 + x), x)","F",0
261,0,0,0,0.000000," ","integrate((-1+log(3*x)^2)/(x+x*log(3*x)+x*log(3*x)^2),x, algorithm=""giac"")","\int \frac{\log\left(3 \, x\right)^{2} - 1}{x \log\left(3 \, x\right)^{2} + x \log\left(3 \, x\right) + x}\,{d x}"," ",0,"integrate((log(3*x)^2 - 1)/(x*log(3*x)^2 + x*log(3*x) + x), x)","F",0
262,1,22,0,0.161570," ","integrate(log(1/x)^2/x^5,x, algorithm=""giac"")","-\frac{\log\left(x\right)^{2}}{4 \, x^{4}} - \frac{\log\left(x\right)}{8 \, x^{4}} - \frac{1}{32 \, x^{4}}"," ",0,"-1/4*log(x)^2/x^4 - 1/8*log(x)/x^4 - 1/32/x^4","A",0
263,0,0,0,0.000000," ","integrate(1/(-log(a*x^2))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-\log\left(a x^{2}\right)}}\,{d x}"," ",0,"integrate(1/sqrt(-log(a*x^2)), x)","F",0
264,0,0,0,0.000000," ","integrate(1/(-log(a/x^2))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{-\log\left(\frac{a}{x^{2}}\right)}}\,{d x}"," ",0,"integrate(1/sqrt(-log(a/x^2)), x)","F",0
265,1,32,0,0.202148," ","integrate(1/(-log(a*x^n))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{-n \log\left(x\right) - \log\left(a\right)}}{\sqrt{n}}\right)}{a^{\left(\frac{1}{n}\right)} \sqrt{n}}"," ",0,"sqrt(pi)*erf(-sqrt(-n*log(x) - log(a))/sqrt(n))/(a^(1/n)*sqrt(n))","A",0
266,0,0,0,0.000000," ","integrate(log(1-x+x^(1/2))/x,x, algorithm=""giac"")","\int \frac{\log\left(-x + \sqrt{x} + 1\right)}{x}\,{d x}"," ",0,"integrate(log(-x + sqrt(x) + 1)/x, x)","F",0
267,0,0,0,0.000000," ","integrate(x*log(d*x+c)/(b*x+a),x, algorithm=""giac"")","\int \frac{x \log\left(d x + c\right)}{b x + a}\,{d x}"," ",0,"integrate(x*log(d*x + c)/(b*x + a), x)","F",0
268,0,0,0,0.000000," ","integrate(log(x)/(-1+x),x, algorithm=""giac"")","\int \frac{\log\left(x\right)}{x - 1}\,{d x}"," ",0,"integrate(log(x)/(x - 1), x)","F",0
269,0,0,0,0.000000," ","integrate(x*log(-b*x-a+1)/(b*x+a),x, algorithm=""giac"")","\int \frac{x \log\left(-b x - a + 1\right)}{b x + a}\,{d x}"," ",0,"integrate(x*log(-b*x - a + 1)/(b*x + a), x)","F",0
270,0,0,0,0.000000," ","integrate((2*c*x+b)*log(x)/x/(c*x+b),x, algorithm=""giac"")","\int \frac{{\left(2 \, c x + b\right)} \log\left(x\right)}{{\left(c x + b\right)} x}\,{d x}"," ",0,"integrate((2*c*x + b)*log(x)/((c*x + b)*x), x)","F",0
271,-2,0,0,0.000000," ","integrate(sin(x*log(x))+log(x)*sin(x*log(x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 9.46Not invertible Error: Bad Argument Value","F(-2)",0
272,1,59,0,0.215825," ","integrate(log((1-(-1+x)^2)/(1+(-1+x)^2))/x^2,x, algorithm=""giac"")","-\frac{\log\left(-\frac{{\left(x - 1\right)}^{2} - 1}{{\left(x - 1\right)}^{2} + 1}\right)}{x} - \frac{1}{x} - \arctan\left(x - 1\right) - \frac{1}{2} \, \log\left(x^{2} - 2 \, x + 2\right) + \frac{1}{2} \, \log\left({\left| x - 2 \right|}\right) + \frac{1}{2} \, \log\left({\left| x \right|}\right)"," ",0,"-log(-((x - 1)^2 - 1)/((x - 1)^2 + 1))/x - 1/x - arctan(x - 1) - 1/2*log(x^2 - 2*x + 2) + 1/2*log(abs(x - 2)) + 1/2*log(abs(x))","A",0
273,1,23,0,0.162525," ","integrate(log(x+x^(1/2)),x, algorithm=""giac"")","x \log\left(x + \sqrt{x}\right) - x + \sqrt{x} - \log\left(\sqrt{x} + 1\right)"," ",0,"x*log(x + sqrt(x)) - x + sqrt(x) - log(sqrt(x) + 1)","A",0
274,1,80,0,0.164895," ","integrate(log(-x/(1+x)),x, algorithm=""giac"")","-\frac{\log\left(-\frac{x}{{\left(x + 1\right)} {\left(\frac{x}{x + 1} - 1\right)} {\left(\frac{x}{{\left(x + 1\right)} {\left(\frac{x}{x + 1} - 1\right)}} - 1\right)}}\right)}{\frac{x}{x + 1} - 1} - \log\left(\frac{{\left| x \right|}}{{\left| x + 1 \right|}}\right) + \log\left({\left| -\frac{x}{x + 1} + 1 \right|}\right)"," ",0,"-log(-x/((x + 1)*(x/(x + 1) - 1)*(x/((x + 1)*(x/(x + 1) - 1)) - 1)))/(x/(x + 1) - 1) - log(abs(x)/abs(x + 1)) + log(abs(-x/(x + 1) + 1))","B",0
275,1,103,0,0.226320," ","integrate(log((-1+x)/(1+x)),x, algorithm=""giac"")","-\frac{2 \, \log\left(\frac{\frac{\frac{x - 1}{x + 1} + 1}{\frac{x - 1}{x + 1} - 1} + 1}{\frac{\frac{x - 1}{x + 1} + 1}{\frac{x - 1}{x + 1} - 1} - 1}\right)}{\frac{x - 1}{x + 1} - 1} - 2 \, \log\left(\frac{{\left| x - 1 \right|}}{{\left| x + 1 \right|}}\right) + 2 \, \log\left({\left| \frac{x - 1}{x + 1} - 1 \right|}\right)"," ",0,"-2*log((((x - 1)/(x + 1) + 1)/((x - 1)/(x + 1) - 1) + 1)/(((x - 1)/(x + 1) + 1)/((x - 1)/(x + 1) - 1) - 1))/((x - 1)/(x + 1) - 1) - 2*log(abs(x - 1)/abs(x + 1)) + 2*log(abs((x - 1)/(x + 1) - 1))","B",0
276,1,56,0,0.212149," ","integrate(log((-x^2+1)/(x^2+1))/(1+x)^2,x, algorithm=""giac"")","-\frac{\log\left(-\frac{x^{2} - 1}{x^{2} + 1}\right)}{x + 1} - \frac{1}{x + 1} - \arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right) + \frac{1}{2} \, \log\left({\left| x + 1 \right|}\right) + \frac{1}{2} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-log(-(x^2 - 1)/(x^2 + 1))/(x + 1) - 1/(x + 1) - arctan(x) - 1/2*log(x^2 + 1) + 1/2*log(abs(x + 1)) + 1/2*log(abs(x - 1))","A",0
277,0,0,0,0.000000," ","integrate(log(c*(x^2+1)^n)/(x^2+1),x, algorithm=""giac"")","\int \frac{\log\left({\left(x^{2} + 1\right)}^{n} c\right)}{x^{2} + 1}\,{d x}"," ",0,"integrate(log((x^2 + 1)^n*c)/(x^2 + 1), x)","F",0
278,0,0,0,0.000000," ","integrate(log(x^2/(x^2+1))/(x^2+1),x, algorithm=""giac"")","\int \frac{\log\left(\frac{x^{2}}{x^{2} + 1}\right)}{x^{2} + 1}\,{d x}"," ",0,"integrate(log(x^2/(x^2 + 1))/(x^2 + 1), x)","F",0
279,0,0,0,0.000000," ","integrate(log(c*x^2/(b*x^2+a))/(b*x^2+a),x, algorithm=""giac"")","\int \frac{\log\left(\frac{c x^{2}}{b x^{2} + a}\right)}{b x^{2} + a}\,{d x}"," ",0,"integrate(log(c*x^2/(b*x^2 + a))/(b*x^2 + a), x)","F",0
280,0,0,0,0.000000," ","integrate(log(1+I*(-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""giac"")","\int -\frac{\log\left(\frac{i \, \sqrt{-a x + 1}}{\sqrt{a x + 1}} + 1\right)}{a^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-log(I*sqrt(-a*x + 1)/sqrt(a*x + 1) + 1)/(a^2*x^2 - 1), x)","F",0
281,0,0,0,0.000000," ","integrate(log(1-I*(-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""giac"")","\int -\frac{\log\left(-\frac{i \, \sqrt{-a x + 1}}{\sqrt{a x + 1}} + 1\right)}{a^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-log(-I*sqrt(-a*x + 1)/sqrt(a*x + 1) + 1)/(a^2*x^2 - 1), x)","F",0
282,1,10,0,0.169322," ","integrate(log(exp(b*x+a)),x, algorithm=""giac"")","\frac{1}{2} \, b x^{2} + a x"," ",0,"1/2*b*x^2 + a*x","A",0
283,1,16,0,0.228637," ","integrate(log(exp(a+b*x^n)),x, algorithm=""giac"")","a x + \frac{b x^{n + 1}}{n + 1}"," ",0,"a*x + b*x^(n + 1)/(n + 1)","A",0
284,1,26,0,0.156441," ","integrate(exp(x)*log(a+b*exp(x)),x, algorithm=""giac"")","-\frac{b e^{x} - {\left(b e^{x} + a\right)} \log\left(b e^{x} + a\right) + a}{b}"," ",0,"-(b*e^x - (b*e^x + a)*log(b*e^x + a) + a)/b","A",0
285,1,24,0,0.173368," ","integrate(exp(b*x+a)*log(x),x, algorithm=""giac"")","-\frac{{\rm Ei}\left(b x\right) e^{a}}{b} + \frac{e^{\left(b x + a\right)} \log\left(x\right)}{b}"," ",0,"-Ei(b*x)*e^a/b + e^(b*x + a)*log(x)/b","A",0
286,0,0,0,0.000000," ","integrate(x^2/(x+log(x)),x, algorithm=""giac"")","\int \frac{x^{2}}{x + \log\left(x\right)}\,{d x}"," ",0,"integrate(x^2/(x + log(x)), x)","F",0
287,0,0,0,0.000000," ","integrate(x/(x+log(x)),x, algorithm=""giac"")","\int \frac{x}{x + \log\left(x\right)}\,{d x}"," ",0,"integrate(x/(x + log(x)), x)","F",0
288,0,0,0,0.000000," ","integrate(1/(x+log(x)),x, algorithm=""giac"")","\int \frac{1}{x + \log\left(x\right)}\,{d x}"," ",0,"integrate(1/(x + log(x)), x)","F",0
289,0,0,0,0.000000," ","integrate(1/x/(x+log(x)),x, algorithm=""giac"")","\int \frac{1}{{\left(x + \log\left(x\right)\right)} x}\,{d x}"," ",0,"integrate(1/((x + log(x))*x), x)","F",0
290,0,0,0,0.000000," ","integrate(1/x^2/(x+log(x)),x, algorithm=""giac"")","\int \frac{1}{{\left(x + \log\left(x\right)\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((x + log(x))*x^2), x)","F",0
291,1,11,0,0.160703," ","integrate(log(x)/(x+4*x*log(x)^2),x, algorithm=""giac"")","\frac{1}{8} \, \log\left(4 \, \log\left(x\right)^{2} + 1\right)"," ",0,"1/8*log(4*log(x)^2 + 1)","A",0
292,1,14,0,0.171919," ","integrate((1-log(x))/x/(x+log(x)),x, algorithm=""giac"")","-\log\left(x\right) + \log\left(-x - \log\left(x\right)\right)"," ",0,"-log(x) + log(-x - log(x))","A",0
293,0,0,0,0.000000," ","integrate((1+x)/log(x)/(x+log(x)),x, algorithm=""giac"")","\int \frac{x + 1}{{\left(x + \log\left(x\right)\right)} \log\left(x\right)}\,{d x}"," ",0,"integrate((x + 1)/((x + log(x))*log(x)), x)","F",0
294,1,88,0,0.245901," ","integrate(log(2+((1+x)/x)^(1/2)),x, algorithm=""giac"")","x \log\left(\sqrt{\frac{x + 1}{x}} + 2\right) - \frac{\log\left({\left| -x + \sqrt{x^{2} + x} + 1 \right|}\right)}{6 \, \mathrm{sgn}\left(x\right)} - \frac{\log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} + x} - 1 \right|}\right)}{3 \, \mathrm{sgn}\left(x\right)} + \frac{\log\left({\left| -3 \, x + 3 \, \sqrt{x^{2} + x} - 1 \right|}\right)}{6 \, \mathrm{sgn}\left(x\right)} - \frac{1}{6} \, \log\left({\left| 3 \, x - 1 \right|}\right)"," ",0,"x*log(sqrt((x + 1)/x) + 2) - 1/6*log(abs(-x + sqrt(x^2 + x) + 1))/sgn(x) - 1/3*log(abs(-2*x + 2*sqrt(x^2 + x) - 1))/sgn(x) + 1/6*log(abs(-3*x + 3*sqrt(x^2 + x) - 1))/sgn(x) - 1/6*log(abs(3*x - 1))","A",0
295,1,53,0,0.227605," ","integrate(log(1+((1+x)/x)^(1/2)),x, algorithm=""giac"")","x \log\left(\sqrt{\frac{x + 1}{x}} + 1\right) + \frac{1}{2} \, x - \frac{\log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} + x} - 1 \right|}\right)}{4 \, \mathrm{sgn}\left(x\right)} - \frac{\sqrt{x^{2} + x}}{2 \, \mathrm{sgn}\left(x\right)}"," ",0,"x*log(sqrt((x + 1)/x) + 1) + 1/2*x - 1/4*log(abs(-2*x + 2*sqrt(x^2 + x) - 1))/sgn(x) - 1/2*sqrt(x^2 + x)/sgn(x)","A",0
296,1,47,0,0.157038," ","integrate(1/2*log((1+x)/x),x, algorithm=""giac"")","\frac{\log\left(\frac{x + 1}{x}\right)}{2 \, {\left(\frac{x + 1}{x} - 1\right)}} + \frac{1}{2} \, \log\left(\frac{{\left| x + 1 \right|}}{{\left| x \right|}}\right) - \frac{1}{2} \, \log\left({\left| \frac{x + 1}{x} - 1 \right|}\right)"," ",0,"1/2*log((x + 1)/x)/((x + 1)/x - 1) + 1/2*log(abs(x + 1)/abs(x)) - 1/2*log(abs((x + 1)/x - 1))","B",0
297,1,53,0,0.226775," ","integrate(log(-1+((1+x)/x)^(1/2)),x, algorithm=""giac"")","x \log\left(\sqrt{\frac{x + 1}{x}} - 1\right) + \frac{1}{2} \, x + \frac{\log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} + x} - 1 \right|}\right)}{4 \, \mathrm{sgn}\left(x\right)} + \frac{\sqrt{x^{2} + x}}{2 \, \mathrm{sgn}\left(x\right)}"," ",0,"x*log(sqrt((x + 1)/x) - 1) + 1/2*x + 1/4*log(abs(-2*x + 2*sqrt(x^2 + x) - 1))/sgn(x) + 1/2*sqrt(x^2 + x)/sgn(x)","A",0
298,1,88,0,0.269083," ","integrate(log(-2+((1+x)/x)^(1/2)),x, algorithm=""giac"")","x \log\left(\sqrt{\frac{x + 1}{x}} - 2\right) + \frac{\log\left({\left| -x + \sqrt{x^{2} + x} + 1 \right|}\right)}{6 \, \mathrm{sgn}\left(x\right)} + \frac{\log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} + x} - 1 \right|}\right)}{3 \, \mathrm{sgn}\left(x\right)} - \frac{\log\left({\left| -3 \, x + 3 \, \sqrt{x^{2} + x} - 1 \right|}\right)}{6 \, \mathrm{sgn}\left(x\right)} - \frac{1}{6} \, \log\left({\left| 3 \, x - 1 \right|}\right)"," ",0,"x*log(sqrt((x + 1)/x) - 2) + 1/6*log(abs(-x + sqrt(x^2 + x) + 1))/sgn(x) + 1/3*log(abs(-2*x + 2*sqrt(x^2 + x) - 1))/sgn(x) - 1/6*log(abs(-3*x + 3*sqrt(x^2 + x) - 1))/sgn(x) - 1/6*log(abs(3*x - 1))","A",0
299,0,0,0,0.000000," ","integrate(x^(a*x)+x^(a*x)*log(x),x, algorithm=""giac"")","\int x^{a x} \log\left(x\right) + x^{a x}\,{d x}"," ",0,"integrate(x^(a*x)*log(x) + x^(a*x), x)","F",0
300,0,0,0,0.000000," ","integrate((log(x)^m)^p,x, algorithm=""giac"")","\int {\left(\log\left(x\right)^{m}\right)}^{p}\,{d x}"," ",0,"integrate((log(x)^m)^p, x)","F",0
301,1,89,0,0.284361," ","integrate(log(x)/(a+b*log(x))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{b \log\left(x\right) + a} \sqrt{-b}}{b}\right) e^{\left(-\frac{a}{b}\right)}}{2 \, \sqrt{-b}} + \frac{\sqrt{\pi} a \operatorname{erf}\left(-\frac{\sqrt{b \log\left(x\right) + a} \sqrt{-b}}{b}\right) e^{\left(-\frac{a}{b}\right)}}{\sqrt{-b} b} + \frac{\sqrt{b \log\left(x\right) + a} x}{b}"," ",0,"1/2*sqrt(pi)*erf(-sqrt(b*log(x) + a)*sqrt(-b)/b)*e^(-a/b)/sqrt(-b) + sqrt(pi)*a*erf(-sqrt(b*log(x) + a)*sqrt(-b)/b)*e^(-a/b)/(sqrt(-b)*b) + sqrt(b*log(x) + a)*x/b","A",0
302,1,74,0,0.337816," ","integrate(log(x)/(a-b*log(x))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{\pi} a \operatorname{erf}\left(-\frac{\sqrt{-b \log\left(x\right) + a}}{\sqrt{b}}\right) e^{\frac{a}{b}}}{b^{\frac{3}{2}}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{-b \log\left(x\right) + a}}{\sqrt{b}}\right) e^{\frac{a}{b}}}{2 \, \sqrt{b}} - \frac{\sqrt{-b \log\left(x\right) + a} x}{b}"," ",0,"sqrt(pi)*a*erf(-sqrt(-b*log(x) + a)/sqrt(b))*e^(a/b)/b^(3/2) - 1/2*sqrt(pi)*erf(-sqrt(-b*log(x) + a)/sqrt(b))*e^(a/b)/sqrt(b) - sqrt(-b*log(x) + a)*x/b","A",0
303,1,129,0,0.305415," ","integrate((A+B*log(x))/(a+b*log(x))^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{\pi} A \operatorname{erf}\left(-\frac{\sqrt{b \log\left(x\right) + a} \sqrt{-b}}{b}\right) e^{\left(-\frac{a}{b}\right)}}{\sqrt{-b}} + \frac{\sqrt{\pi} B \operatorname{erf}\left(-\frac{\sqrt{b \log\left(x\right) + a} \sqrt{-b}}{b}\right) e^{\left(-\frac{a}{b}\right)}}{2 \, \sqrt{-b}} + \frac{\sqrt{\pi} B a \operatorname{erf}\left(-\frac{\sqrt{b \log\left(x\right) + a} \sqrt{-b}}{b}\right) e^{\left(-\frac{a}{b}\right)}}{\sqrt{-b} b} + \frac{\sqrt{b \log\left(x\right) + a} B x}{b}"," ",0,"-sqrt(pi)*A*erf(-sqrt(b*log(x) + a)*sqrt(-b)/b)*e^(-a/b)/sqrt(-b) + 1/2*sqrt(pi)*B*erf(-sqrt(b*log(x) + a)*sqrt(-b)/b)*e^(-a/b)/sqrt(-b) + sqrt(pi)*B*a*erf(-sqrt(b*log(x) + a)*sqrt(-b)/b)*e^(-a/b)/(sqrt(-b)*b) + sqrt(b*log(x) + a)*B*x/b","B",0
304,1,106,0,0.305765," ","integrate((A+B*log(x))/(a-b*log(x))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{\pi} B a \operatorname{erf}\left(-\frac{\sqrt{-b \log\left(x\right) + a}}{\sqrt{b}}\right) e^{\frac{a}{b}}}{b^{\frac{3}{2}}} + \frac{\sqrt{\pi} A \operatorname{erf}\left(-\frac{\sqrt{-b \log\left(x\right) + a}}{\sqrt{b}}\right) e^{\frac{a}{b}}}{\sqrt{b}} - \frac{\sqrt{\pi} B \operatorname{erf}\left(-\frac{\sqrt{-b \log\left(x\right) + a}}{\sqrt{b}}\right) e^{\frac{a}{b}}}{2 \, \sqrt{b}} - \frac{\sqrt{-b \log\left(x\right) + a} B x}{b}"," ",0,"sqrt(pi)*B*a*erf(-sqrt(-b*log(x) + a)/sqrt(b))*e^(a/b)/b^(3/2) + sqrt(pi)*A*erf(-sqrt(-b*log(x) + a)/sqrt(b))*e^(a/b)/sqrt(b) - 1/2*sqrt(pi)*B*erf(-sqrt(-b*log(x) + a)/sqrt(b))*e^(a/b)/sqrt(b) - sqrt(-b*log(x) + a)*B*x/b","A",0
305,0,0,0,0.000000," ","integrate(x^2*log(log(x)*sin(x)),x, algorithm=""giac"")","\int x^{2} \log\left(\log\left(x\right) \sin\left(x\right)\right)\,{d x}"," ",0,"integrate(x^2*log(log(x)*sin(x)), x)","F",0
306,0,0,0,0.000000," ","integrate(x*log(log(x)*sin(x)),x, algorithm=""giac"")","\int x \log\left(\log\left(x\right) \sin\left(x\right)\right)\,{d x}"," ",0,"integrate(x*log(log(x)*sin(x)), x)","F",0
307,0,0,0,0.000000," ","integrate(log(log(x)*sin(x)),x, algorithm=""giac"")","\int \log\left(\log\left(x\right) \sin\left(x\right)\right)\,{d x}"," ",0,"integrate(log(log(x)*sin(x)), x)","F",0
308,0,0,0,0.000000," ","integrate(log(log(x)*sin(x))/x,x, algorithm=""giac"")","\int \frac{\log\left(\log\left(x\right) \sin\left(x\right)\right)}{x}\,{d x}"," ",0,"integrate(log(log(x)*sin(x))/x, x)","F",0
309,0,0,0,0.000000," ","integrate(log(log(x)*sin(x))/x^2,x, algorithm=""giac"")","\int \frac{\log\left(\log\left(x\right) \sin\left(x\right)\right)}{x^{2}}\,{d x}"," ",0,"integrate(log(log(x)*sin(x))/x^2, x)","F",0
310,0,0,0,0.000000," ","integrate(x^2*log(exp(x)*log(x)*sin(x)),x, algorithm=""giac"")","\int x^{2} \log\left(e^{x} \log\left(x\right) \sin\left(x\right)\right)\,{d x}"," ",0,"integrate(x^2*log(e^x*log(x)*sin(x)), x)","F",0
311,0,0,0,0.000000," ","integrate(x*log(exp(x)*log(x)*sin(x)),x, algorithm=""giac"")","\int x \log\left(e^{x} \log\left(x\right) \sin\left(x\right)\right)\,{d x}"," ",0,"integrate(x*log(e^x*log(x)*sin(x)), x)","F",0
312,0,0,0,0.000000," ","integrate(log(exp(x)*log(x)*sin(x)),x, algorithm=""giac"")","\int \log\left(e^{x} \log\left(x\right) \sin\left(x\right)\right)\,{d x}"," ",0,"integrate(log(e^x*log(x)*sin(x)), x)","F",0
313,0,0,0,0.000000," ","integrate(log(exp(x)*log(x)*sin(x))/x,x, algorithm=""giac"")","\int \frac{\log\left(e^{x} \log\left(x\right) \sin\left(x\right)\right)}{x}\,{d x}"," ",0,"integrate(log(e^x*log(x)*sin(x))/x, x)","F",0
314,0,0,0,0.000000," ","integrate(log(exp(x)*log(x)*sin(x))/x^2,x, algorithm=""giac"")","\int \frac{\log\left(e^{x} \log\left(x\right) \sin\left(x\right)\right)}{x^{2}}\,{d x}"," ",0,"integrate(log(e^x*log(x)*sin(x))/x^2, x)","F",0
