1,1,188,0,0.833526," ","integrate(log(c*(e*x+d))^4,x, algorithm=""maxima"")","-4 \, e {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)} c\right)^{3} + x \log\left({\left(e x + d\right)} c\right)^{4} + {\left(e {\left(\frac{4 \, {\left(d \log\left(e x + d\right)^{3} + 3 \, d \log\left(e x + d\right)^{2} - 6 \, e x + 6 \, d \log\left(e x + d\right)\right)} \log\left({\left(e x + d\right)} c\right)}{e^{3}} - \frac{d \log\left(e x + d\right)^{4} + 4 \, d \log\left(e x + d\right)^{3} + 12 \, d \log\left(e x + d\right)^{2} - 24 \, e x + 24 \, d \log\left(e x + d\right)}{e^{3}}\right)} - \frac{6 \, {\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} \log\left({\left(e x + d\right)} c\right)^{2}}{e^{2}}\right)} e"," ",0,"-4*e*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)*c)^3 + x*log((e*x + d)*c)^4 + (e*(4*(d*log(e*x + d)^3 + 3*d*log(e*x + d)^2 - 6*e*x + 6*d*log(e*x + d))*log((e*x + d)*c)/e^3 - (d*log(e*x + d)^4 + 4*d*log(e*x + d)^3 + 12*d*log(e*x + d)^2 - 24*e*x + 24*d*log(e*x + d))/e^3) - 6*(d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*log((e*x + d)*c)^2/e^2)*e","B",0
2,1,125,0,0.780686," ","integrate(log(c*(e*x+d))^3,x, algorithm=""maxima"")","-3 \, e {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)} c\right)^{2} + x \log\left({\left(e x + d\right)} c\right)^{3} - e {\left(\frac{3 \, {\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} \log\left({\left(e x + d\right)} c\right)}{e^{2}} - \frac{d \log\left(e x + d\right)^{3} + 3 \, d \log\left(e x + d\right)^{2} - 6 \, e x + 6 \, d \log\left(e x + d\right)}{e^{2}}\right)}"," ",0,"-3*e*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)*c)^2 + x*log((e*x + d)*c)^3 - e*(3*(d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*log((e*x + d)*c)/e^2 - (d*log(e*x + d)^3 + 3*d*log(e*x + d)^2 - 6*e*x + 6*d*log(e*x + d))/e^2)","B",0
3,1,71,0,0.609808," ","integrate(log(c*(e*x+d))^2,x, algorithm=""maxima"")","-2 \, e {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)} c\right) + x \log\left({\left(e x + d\right)} c\right)^{2} - \frac{d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)}{e}"," ",0,"-2*e*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)*c) + x*log((e*x + d)*c)^2 - (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))/e","A",0
4,1,31,0,0.528801," ","integrate(log(c*(e*x+d)),x, algorithm=""maxima"")","\frac{{\left(e x + d\right)} c \log\left({\left(e x + d\right)} c\right) - {\left(e x + d\right)} c}{c e}"," ",0,"((e*x + d)*c*log((e*x + d)*c) - (e*x + d)*c)/(c*e)","A",0
5,1,17,0,1.094348," ","integrate(1/log(c*(e*x+d)),x, algorithm=""maxima"")","\frac{{\rm Ei}\left(\log\left(c e x + c d\right)\right)}{c e}"," ",0,"Ei(log(c*e*x + c*d))/(c*e)","A",0
6,1,20,0,0.976891," ","integrate(1/log(c*(e*x+d))^2,x, algorithm=""maxima"")","\frac{\Gamma\left(-1, -\log\left(c e x + c d\right)\right)}{c e}"," ",0,"gamma(-1, -log(c*e*x + c*d))/(c*e)","A",0
7,1,21,0,0.963148," ","integrate(1/log(c*(e*x+d))^3,x, algorithm=""maxima"")","-\frac{\Gamma\left(-2, -\log\left(c e x + c d\right)\right)}{c e}"," ",0,"-gamma(-2, -log(c*e*x + c*d))/(c*e)","A",0
8,1,20,0,1.246643," ","integrate(1/log(c*(e*x+d))^4,x, algorithm=""maxima"")","\frac{\Gamma\left(-3, -\log\left(c e x + c d\right)\right)}{c e}"," ",0,"gamma(-3, -log(c*e*x + c*d))/(c*e)","A",0
9,1,78,0,0.707668," ","integrate(log(c*(e*x+d))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c e x + c d\right)} {\left(4 \, \log\left(c e x + c d\right)^{\frac{5}{2}} - 10 \, \log\left(c e x + c d\right)^{\frac{3}{2}} + 15 \, \sqrt{\log\left(c e x + c d\right)}\right)} + 15 i \, \sqrt{\pi} \operatorname{erf}\left(i \, \sqrt{\log\left(c e x + c d\right)}\right)}{8 \, c e}"," ",0,"1/8*(2*(c*e*x + c*d)*(4*log(c*e*x + c*d)^(5/2) - 10*log(c*e*x + c*d)^(3/2) + 15*sqrt(log(c*e*x + c*d))) + 15*I*sqrt(pi)*erf(I*sqrt(log(c*e*x + c*d))))/(c*e)","C",0
10,1,65,0,0.716765," ","integrate(log(c*(e*x+d))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(c e x + c d\right)} {\left(2 \, \log\left(c e x + c d\right)^{\frac{3}{2}} - 3 \, \sqrt{\log\left(c e x + c d\right)}\right)} - 3 i \, \sqrt{\pi} \operatorname{erf}\left(i \, \sqrt{\log\left(c e x + c d\right)}\right)}{4 \, c e}"," ",0,"1/4*(2*(c*e*x + c*d)*(2*log(c*e*x + c*d)^(3/2) - 3*sqrt(log(c*e*x + c*d))) - 3*I*sqrt(pi)*erf(I*sqrt(log(c*e*x + c*d))))/(c*e)","C",0
11,1,49,0,0.617627," ","integrate(log(c*(e*x+d))^(1/2),x, algorithm=""maxima"")","-\frac{-i \, \sqrt{\pi} \operatorname{erf}\left(i \, \sqrt{\log\left(c e x + c d\right)}\right) - 2 \, {\left(c e x + c d\right)} \sqrt{\log\left(c e x + c d\right)}}{2 \, c e}"," ",0,"-1/2*(-I*sqrt(pi)*erf(I*sqrt(log(c*e*x + c*d))) - 2*(c*e*x + c*d)*sqrt(log(c*e*x + c*d)))/(c*e)","C",0
12,1,25,0,0.662645," ","integrate(1/log(c*(e*x+d))^(1/2),x, algorithm=""maxima"")","-\frac{i \, \sqrt{\pi} \operatorname{erf}\left(i \, \sqrt{\log\left(c e x + c d\right)}\right)}{c e}"," ",0,"-I*sqrt(pi)*erf(I*sqrt(log(c*e*x + c*d)))/(c*e)","C",0
13,1,45,0,1.070643," ","integrate(1/log(c*(e*x+d))^(3/2),x, algorithm=""maxima"")","-\frac{\sqrt{-\log\left(c e x + c d\right)} \Gamma\left(-\frac{1}{2}, -\log\left(c e x + c d\right)\right)}{c e \sqrt{\log\left(c e x + c d\right)}}"," ",0,"-sqrt(-log(c*e*x + c*d))*gamma(-1/2, -log(c*e*x + c*d))/(c*e*sqrt(log(c*e*x + c*d)))","A",0
14,1,45,0,0.959245," ","integrate(1/log(c*(e*x+d))^(5/2),x, algorithm=""maxima"")","-\frac{\left(-\log\left(c e x + c d\right)\right)^{\frac{3}{2}} \Gamma\left(-\frac{3}{2}, -\log\left(c e x + c d\right)\right)}{c e \log\left(c e x + c d\right)^{\frac{3}{2}}}"," ",0,"-(-log(c*e*x + c*d))^(3/2)*gamma(-3/2, -log(c*e*x + c*d))/(c*e*log(c*e*x + c*d)^(3/2))","A",0
15,1,45,0,1.049314," ","integrate(1/log(c*(e*x+d))^(7/2),x, algorithm=""maxima"")","-\frac{\left(-\log\left(c e x + c d\right)\right)^{\frac{5}{2}} \Gamma\left(-\frac{5}{2}, -\log\left(c e x + c d\right)\right)}{c e \log\left(c e x + c d\right)^{\frac{5}{2}}}"," ",0,"-(-log(c*e*x + c*d))^(5/2)*gamma(-5/2, -log(c*e*x + c*d))/(c*e*log(c*e*x + c*d)^(5/2))","A",0
16,1,53,0,1.056743," ","integrate(log(c*(e*x+d))^p,x, algorithm=""maxima"")","-\frac{\left(-\log\left(c e x + c d\right)\right)^{-p - 1} \log\left(c e x + c d\right)^{p + 1} \Gamma\left(p + 1, -\log\left(c e x + c d\right)\right)}{c e}"," ",0,"-(-log(c*e*x + c*d))^(-p - 1)*log(c*e*x + c*d)^(p + 1)*gamma(p + 1, -log(c*e*x + c*d))/(c*e)","A",0
17,1,500,0,0.832845," ","integrate((a+b*log(c*(e*x+d)^n))^4,x, algorithm=""maxima"")","b^{4} x \log\left({\left(e x + d\right)}^{n} c\right)^{4} + 4 \, a b^{3} x \log\left({\left(e x + d\right)}^{n} c\right)^{3} - 4 \, a^{3} b e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + 6 \, a^{2} b^{2} x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 4 \, a^{3} b x \log\left({\left(e x + d\right)}^{n} c\right) - 6 \, {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} a^{2} b^{2} - 4 \, {\left(3 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} - e n {\left(\frac{{\left(d \log\left(e x + d\right)^{3} + 3 \, d \log\left(e x + d\right)^{2} - 6 \, e x + 6 \, d \log\left(e x + d\right)\right)} n^{2}}{e^{2}} - \frac{3 \, {\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{2}}\right)}\right)} a b^{3} - {\left(4 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + {\left(e n {\left(\frac{{\left(d \log\left(e x + d\right)^{4} + 4 \, d \log\left(e x + d\right)^{3} + 12 \, d \log\left(e x + d\right)^{2} - 24 \, e x + 24 \, d \log\left(e x + d\right)\right)} n^{2}}{e^{3}} - \frac{4 \, {\left(d \log\left(e x + d\right)^{3} + 3 \, d \log\left(e x + d\right)^{2} - 6 \, e x + 6 \, d \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{3}}\right)} + \frac{6 \, {\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)^{2}}{e^{2}}\right)} e n\right)} b^{4} + a^{4} x"," ",0,"b^4*x*log((e*x + d)^n*c)^4 + 4*a*b^3*x*log((e*x + d)^n*c)^3 - 4*a^3*b*e*n*(x/e - d*log(e*x + d)/e^2) + 6*a^2*b^2*x*log((e*x + d)^n*c)^2 + 4*a^3*b*x*log((e*x + d)^n*c) - 6*(2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*a^2*b^2 - 4*(3*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c)^2 - e*n*((d*log(e*x + d)^3 + 3*d*log(e*x + d)^2 - 6*e*x + 6*d*log(e*x + d))*n^2/e^2 - 3*(d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n*log((e*x + d)^n*c)/e^2))*a*b^3 - (4*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c)^3 + (e*n*((d*log(e*x + d)^4 + 4*d*log(e*x + d)^3 + 12*d*log(e*x + d)^2 - 24*e*x + 24*d*log(e*x + d))*n^2/e^3 - 4*(d*log(e*x + d)^3 + 3*d*log(e*x + d)^2 - 6*e*x + 6*d*log(e*x + d))*n*log((e*x + d)^n*c)/e^3) + 6*(d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n*log((e*x + d)^n*c)^2/e^2)*e*n)*b^4 + a^4*x","B",0
18,1,282,0,0.713377," ","integrate((a+b*log(c*(e*x+d)^n))^3,x, algorithm=""maxima"")","b^{3} x \log\left({\left(e x + d\right)}^{n} c\right)^{3} - 3 \, a^{2} b e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + 3 \, a b^{2} x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b x \log\left({\left(e x + d\right)}^{n} c\right) - 3 \, {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} a b^{2} - {\left(3 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} - e n {\left(\frac{{\left(d \log\left(e x + d\right)^{3} + 3 \, d \log\left(e x + d\right)^{2} - 6 \, e x + 6 \, d \log\left(e x + d\right)\right)} n^{2}}{e^{2}} - \frac{3 \, {\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{2}}\right)}\right)} b^{3} + a^{3} x"," ",0,"b^3*x*log((e*x + d)^n*c)^3 - 3*a^2*b*e*n*(x/e - d*log(e*x + d)/e^2) + 3*a*b^2*x*log((e*x + d)^n*c)^2 + 3*a^2*b*x*log((e*x + d)^n*c) - 3*(2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*a*b^2 - (3*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c)^2 - e*n*((d*log(e*x + d)^3 + 3*d*log(e*x + d)^2 - 6*e*x + 6*d*log(e*x + d))*n^2/e^2 - 3*(d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n*log((e*x + d)^n*c)/e^2))*b^3 + a^3*x","B",0
19,1,131,0,0.602090," ","integrate((a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-2 \, a b e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + b^{2} x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b x \log\left({\left(e x + d\right)}^{n} c\right) - {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} b^{2} + a^{2} x"," ",0,"-2*a*b*e*n*(x/e - d*log(e*x + d)/e^2) + b^2*x*log((e*x + d)^n*c)^2 + 2*a*b*x*log((e*x + d)^n*c) - (2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*b^2 + a^2*x","B",0
20,1,40,0,0.666573," ","integrate(a+b*log(c*(e*x+d)^n),x, algorithm=""maxima"")","-b e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + b x \log\left({\left(e x + d\right)}^{n} c\right) + a x"," ",0,"-b*e*n*(x/e - d*log(e*x + d)/e^2) + b*x*log((e*x + d)^n*c) + a*x","A",0
21,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\int \frac{1}{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate(1/(b*log((e*x + d)^n*c) + a), x)","F",0
22,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-\frac{e x + d}{b^{2} e n \log\left({\left(e x + d\right)}^{n}\right) + b^{2} e n \log\left(c\right) + a b e n} + \int \frac{1}{b^{2} n \log\left({\left(e x + d\right)}^{n}\right) + b^{2} n \log\left(c\right) + a b n}\,{d x}"," ",0,"-(e*x + d)/(b^2*e*n*log((e*x + d)^n) + b^2*e*n*log(c) + a*b*e*n) + integrate(1/(b^2*n*log((e*x + d)^n) + b^2*n*log(c) + a*b*n), x)","F",0
23,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""maxima"")","-\frac{{\left(d n + d \log\left(c\right)\right)} b + a d + {\left({\left(e n + e \log\left(c\right)\right)} b + a e\right)} x + {\left(b e x + b d\right)} \log\left({\left(e x + d\right)}^{n}\right)}{2 \, {\left(b^{4} e n^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{4} e n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} e n^{2} \log\left(c\right) + a^{2} b^{2} e n^{2} + 2 \, {\left(b^{4} e n^{2} \log\left(c\right) + a b^{3} e n^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)}} + \int \frac{1}{2 \, {\left(b^{3} n^{2} \log\left({\left(e x + d\right)}^{n}\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)}}\,{d x}"," ",0,"-1/2*((d*n + d*log(c))*b + a*d + ((e*n + e*log(c))*b + a*e)*x + (b*e*x + b*d)*log((e*x + d)^n))/(b^4*e*n^2*log((e*x + d)^n)^2 + b^4*e*n^2*log(c)^2 + 2*a*b^3*e*n^2*log(c) + a^2*b^2*e*n^2 + 2*(b^4*e*n^2*log(c) + a*b^3*e*n^2)*log((e*x + d)^n)) + integrate(1/2/(b^3*n^2*log((e*x + d)^n) + b^3*n^2*log(c) + a*b^2*n^2), x)","F",0
24,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""maxima"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(5/2), x)","F",0
25,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""maxima"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
26,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
27,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
28,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(-3/2), x)","F",0
29,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(-5/2), x)","F",0
30,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(7/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(-7/2), x)","F",0
31,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^p,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
32,1,59,0,1.225874," ","integrate((a+b*log(c*(e*x+d)^(1/2)))^p,x, algorithm=""maxima"")","-\frac{2 \, {\left(b \log\left(\sqrt{e x + d} c\right) + a\right)}^{p + 1} e^{\left(-\frac{2 \, a}{b}\right)} E_{-p}\left(-\frac{2 \, {\left(b \log\left(\sqrt{e x + d} c\right) + a\right)}}{b}\right)}{b c^{2} e}"," ",0,"-2*(b*log(sqrt(e*x + d)*c) + a)^(p + 1)*e^(-2*a/b)*exp_integral_e(-p, -2*(b*log(sqrt(e*x + d)*c) + a)/b)/(b*c^2*e)","A",0
33,0,0,0,0.000000," ","integrate((f*x+e)^(-1+p)/log(d*(f*x+e)^p),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{p - 1}}{\log\left({\left(f x + e\right)}^{p} d\right)}\,{d x}"," ",0,"integrate((f*x + e)^(p - 1)/log((f*x + e)^p*d), x)","F",0
34,0,0,0,0.000000," ","integrate((f*g*x+e*g)^(-1+p)/log(d*(f*x+e)^p),x, algorithm=""maxima"")","\int \frac{{\left(f g x + e g\right)}^{p - 1}}{\log\left({\left(f x + e\right)}^{p} d\right)}\,{d x}"," ",0,"integrate((f*g*x + e*g)^(p - 1)/log((f*x + e)^p*d), x)","F",0
35,1,393,0,1.073596," ","integrate((g*x+f)^4*(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\frac{1}{5} \, b g^{4} x^{5} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{5} \, a g^{4} x^{5} + b f g^{3} x^{4} \log\left({\left(e x + d\right)}^{n} c\right) + a f g^{3} x^{4} + 2 \, b f^{2} g^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + 2 \, a f^{2} g^{2} x^{3} - b e f^{4} n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + \frac{1}{300} \, b e g^{4} n {\left(\frac{60 \, d^{5} \log\left(e x + d\right)}{e^{6}} - \frac{12 \, e^{4} x^{5} - 15 \, d e^{3} x^{4} + 20 \, d^{2} e^{2} x^{3} - 30 \, d^{3} e x^{2} + 60 \, d^{4} x}{e^{5}}\right)} - \frac{1}{12} \, b e f g^{3} n {\left(\frac{12 \, d^{4} \log\left(e x + d\right)}{e^{5}} + \frac{3 \, e^{3} x^{4} - 4 \, d e^{2} x^{3} + 6 \, d^{2} e x^{2} - 12 \, d^{3} x}{e^{4}}\right)} + \frac{1}{3} \, b e f^{2} g^{2} n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} - b e f^{3} g n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + 2 \, b f^{3} g x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + 2 \, a f^{3} g x^{2} + b f^{4} x \log\left({\left(e x + d\right)}^{n} c\right) + a f^{4} x"," ",0,"1/5*b*g^4*x^5*log((e*x + d)^n*c) + 1/5*a*g^4*x^5 + b*f*g^3*x^4*log((e*x + d)^n*c) + a*f*g^3*x^4 + 2*b*f^2*g^2*x^3*log((e*x + d)^n*c) + 2*a*f^2*g^2*x^3 - b*e*f^4*n*(x/e - d*log(e*x + d)/e^2) + 1/300*b*e*g^4*n*(60*d^5*log(e*x + d)/e^6 - (12*e^4*x^5 - 15*d*e^3*x^4 + 20*d^2*e^2*x^3 - 30*d^3*e*x^2 + 60*d^4*x)/e^5) - 1/12*b*e*f*g^3*n*(12*d^4*log(e*x + d)/e^5 + (3*e^3*x^4 - 4*d*e^2*x^3 + 6*d^2*e*x^2 - 12*d^3*x)/e^4) + 1/3*b*e*f^2*g^2*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3) - b*e*f^3*g*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + 2*b*f^3*g*x^2*log((e*x + d)^n*c) + 2*a*f^3*g*x^2 + b*f^4*x*log((e*x + d)^n*c) + a*f^4*x","B",0
36,1,284,0,1.117208," ","integrate((g*x+f)^3*(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\frac{1}{4} \, b g^{3} x^{4} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{4} \, a g^{3} x^{4} + b f g^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + a f g^{2} x^{3} - b e f^{3} n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} - \frac{1}{48} \, b e g^{3} n {\left(\frac{12 \, d^{4} \log\left(e x + d\right)}{e^{5}} + \frac{3 \, e^{3} x^{4} - 4 \, d e^{2} x^{3} + 6 \, d^{2} e x^{2} - 12 \, d^{3} x}{e^{4}}\right)} + \frac{1}{6} \, b e f g^{2} n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} - \frac{3}{4} \, b e f^{2} g n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + \frac{3}{2} \, b f^{2} g x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{3}{2} \, a f^{2} g x^{2} + b f^{3} x \log\left({\left(e x + d\right)}^{n} c\right) + a f^{3} x"," ",0,"1/4*b*g^3*x^4*log((e*x + d)^n*c) + 1/4*a*g^3*x^4 + b*f*g^2*x^3*log((e*x + d)^n*c) + a*f*g^2*x^3 - b*e*f^3*n*(x/e - d*log(e*x + d)/e^2) - 1/48*b*e*g^3*n*(12*d^4*log(e*x + d)/e^5 + (3*e^3*x^4 - 4*d*e^2*x^3 + 6*d^2*e*x^2 - 12*d^3*x)/e^4) + 1/6*b*e*f*g^2*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3) - 3/4*b*e*f^2*g*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + 3/2*b*f^2*g*x^2*log((e*x + d)^n*c) + 3/2*a*f^2*g*x^2 + b*f^3*x*log((e*x + d)^n*c) + a*f^3*x","B",0
37,1,187,0,1.078862," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\frac{1}{3} \, b g^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{3} \, a g^{2} x^{3} - b e f^{2} n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + \frac{1}{18} \, b e g^{2} n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} - \frac{1}{2} \, b e f g n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + b f g x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + a f g x^{2} + b f^{2} x \log\left({\left(e x + d\right)}^{n} c\right) + a f^{2} x"," ",0,"1/3*b*g^2*x^3*log((e*x + d)^n*c) + 1/3*a*g^2*x^3 - b*e*f^2*n*(x/e - d*log(e*x + d)/e^2) + 1/18*b*e*g^2*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3) - 1/2*b*e*f*g*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + b*f*g*x^2*log((e*x + d)^n*c) + a*f*g*x^2 + b*f^2*x*log((e*x + d)^n*c) + a*f^2*x","A",0
38,1,102,0,0.992823," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","-b e f n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} - \frac{1}{4} \, b e g n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + \frac{1}{2} \, b g x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{2} \, a g x^{2} + b f x \log\left({\left(e x + d\right)}^{n} c\right) + a f x"," ",0,"-b*e*f*n*(x/e - d*log(e*x + d)/e^2) - 1/4*b*e*g*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + 1/2*b*g*x^2*log((e*x + d)^n*c) + 1/2*a*g*x^2 + b*f*x*log((e*x + d)^n*c) + a*f*x","A",0
39,1,40,0,0.951473," ","integrate(a+b*log(c*(e*x+d)^n),x, algorithm=""maxima"")","-b e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + b x \log\left({\left(e x + d\right)}^{n} c\right) + a x"," ",0,"-b*e*n*(x/e - d*log(e*x + d)/e^2) + b*x*log((e*x + d)^n*c) + a*x","A",0
40,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""maxima"")","b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g x + f}\,{d x} + \frac{a \log\left(g x + f\right)}{g}"," ",0,"b*integrate((log((e*x + d)^n) + log(c))/(g*x + f), x) + a*log(g*x + f)/g","F",0
41,1,85,0,1.008828," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^2,x, algorithm=""maxima"")","b e n {\left(\frac{\log\left(e x + d\right)}{e f g - d g^{2}} - \frac{\log\left(g x + f\right)}{e f g - d g^{2}}\right)} - \frac{b \log\left({\left(e x + d\right)}^{n} c\right)}{g^{2} x + f g} - \frac{a}{g^{2} x + f g}"," ",0,"b*e*n*(log(e*x + d)/(e*f*g - d*g^2) - log(g*x + f)/(e*f*g - d*g^2)) - b*log((e*x + d)^n*c)/(g^2*x + f*g) - a/(g^2*x + f*g)","A",0
42,1,167,0,1.033175," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^3,x, algorithm=""maxima"")","\frac{1}{2} \, b e n {\left(\frac{e \log\left(e x + d\right)}{e^{2} f^{2} g - 2 \, d e f g^{2} + d^{2} g^{3}} - \frac{e \log\left(g x + f\right)}{e^{2} f^{2} g - 2 \, d e f g^{2} + d^{2} g^{3}} + \frac{1}{e f^{2} g - d f g^{2} + {\left(e f g^{2} - d g^{3}\right)} x}\right)} - \frac{b \log\left({\left(e x + d\right)}^{n} c\right)}{2 \, {\left(g^{3} x^{2} + 2 \, f g^{2} x + f^{2} g\right)}} - \frac{a}{2 \, {\left(g^{3} x^{2} + 2 \, f g^{2} x + f^{2} g\right)}}"," ",0,"1/2*b*e*n*(e*log(e*x + d)/(e^2*f^2*g - 2*d*e*f*g^2 + d^2*g^3) - e*log(g*x + f)/(e^2*f^2*g - 2*d*e*f*g^2 + d^2*g^3) + 1/(e*f^2*g - d*f*g^2 + (e*f*g^2 - d*g^3)*x)) - 1/2*b*log((e*x + d)^n*c)/(g^3*x^2 + 2*f*g^2*x + f^2*g) - 1/2*a/(g^3*x^2 + 2*f*g^2*x + f^2*g)","A",0
43,1,301,0,1.116496," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^4,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(\frac{2 \, e^{2} \log\left(e x + d\right)}{e^{3} f^{3} g - 3 \, d e^{2} f^{2} g^{2} + 3 \, d^{2} e f g^{3} - d^{3} g^{4}} - \frac{2 \, e^{2} \log\left(g x + f\right)}{e^{3} f^{3} g - 3 \, d e^{2} f^{2} g^{2} + 3 \, d^{2} e f g^{3} - d^{3} g^{4}} + \frac{2 \, e g x + 3 \, e f - d g}{e^{2} f^{4} g - 2 \, d e f^{3} g^{2} + d^{2} f^{2} g^{3} + {\left(e^{2} f^{2} g^{3} - 2 \, d e f g^{4} + d^{2} g^{5}\right)} x^{2} + 2 \, {\left(e^{2} f^{3} g^{2} - 2 \, d e f^{2} g^{3} + d^{2} f g^{4}\right)} x}\right)} b e n - \frac{b \log\left({\left(e x + d\right)}^{n} c\right)}{3 \, {\left(g^{4} x^{3} + 3 \, f g^{3} x^{2} + 3 \, f^{2} g^{2} x + f^{3} g\right)}} - \frac{a}{3 \, {\left(g^{4} x^{3} + 3 \, f g^{3} x^{2} + 3 \, f^{2} g^{2} x + f^{3} g\right)}}"," ",0,"1/6*(2*e^2*log(e*x + d)/(e^3*f^3*g - 3*d*e^2*f^2*g^2 + 3*d^2*e*f*g^3 - d^3*g^4) - 2*e^2*log(g*x + f)/(e^3*f^3*g - 3*d*e^2*f^2*g^2 + 3*d^2*e*f*g^3 - d^3*g^4) + (2*e*g*x + 3*e*f - d*g)/(e^2*f^4*g - 2*d*e*f^3*g^2 + d^2*f^2*g^3 + (e^2*f^2*g^3 - 2*d*e*f*g^4 + d^2*g^5)*x^2 + 2*(e^2*f^3*g^2 - 2*d*e*f^2*g^3 + d^2*f*g^4)*x))*b*e*n - 1/3*b*log((e*x + d)^n*c)/(g^4*x^3 + 3*f*g^3*x^2 + 3*f^2*g^2*x + f^3*g) - 1/3*a/(g^4*x^3 + 3*f*g^3*x^2 + 3*f^2*g^2*x + f^3*g)","B",0
44,1,827,0,1.218596," ","integrate((g*x+f)^3*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","\frac{1}{4} \, b^{2} g^{3} x^{4} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + \frac{1}{2} \, a b g^{3} x^{4} \log\left({\left(e x + d\right)}^{n} c\right) + b^{2} f g^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + \frac{1}{4} \, a^{2} g^{3} x^{4} + 2 \, a b f g^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{3}{2} \, b^{2} f^{2} g x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a^{2} f g^{2} x^{3} - 2 \, a b e f^{3} n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} - \frac{1}{24} \, a b e g^{3} n {\left(\frac{12 \, d^{4} \log\left(e x + d\right)}{e^{5}} + \frac{3 \, e^{3} x^{4} - 4 \, d e^{2} x^{3} + 6 \, d^{2} e x^{2} - 12 \, d^{3} x}{e^{4}}\right)} + \frac{1}{3} \, a b e f g^{2} n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} - \frac{3}{2} \, a b e f^{2} g n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + 3 \, a b f^{2} g x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + b^{2} f^{3} x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + \frac{3}{2} \, a^{2} f^{2} g x^{2} + 2 \, a b f^{3} x \log\left({\left(e x + d\right)}^{n} c\right) - {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} b^{2} f^{3} - \frac{3}{4} \, {\left(2 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) - \frac{{\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{2}}\right)} b^{2} f^{2} g + \frac{1}{18} \, {\left(6 \, e n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(4 \, e^{3} x^{3} - 15 \, d e^{2} x^{2} - 18 \, d^{3} \log\left(e x + d\right)^{2} + 66 \, d^{2} e x - 66 \, d^{3} \log\left(e x + d\right)\right)} n^{2}}{e^{3}}\right)} b^{2} f g^{2} - \frac{1}{288} \, {\left(12 \, e n {\left(\frac{12 \, d^{4} \log\left(e x + d\right)}{e^{5}} + \frac{3 \, e^{3} x^{4} - 4 \, d e^{2} x^{3} + 6 \, d^{2} e x^{2} - 12 \, d^{3} x}{e^{4}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) - \frac{{\left(9 \, e^{4} x^{4} - 28 \, d e^{3} x^{3} + 78 \, d^{2} e^{2} x^{2} + 72 \, d^{4} \log\left(e x + d\right)^{2} - 300 \, d^{3} e x + 300 \, d^{4} \log\left(e x + d\right)\right)} n^{2}}{e^{4}}\right)} b^{2} g^{3} + a^{2} f^{3} x"," ",0,"1/4*b^2*g^3*x^4*log((e*x + d)^n*c)^2 + 1/2*a*b*g^3*x^4*log((e*x + d)^n*c) + b^2*f*g^2*x^3*log((e*x + d)^n*c)^2 + 1/4*a^2*g^3*x^4 + 2*a*b*f*g^2*x^3*log((e*x + d)^n*c) + 3/2*b^2*f^2*g*x^2*log((e*x + d)^n*c)^2 + a^2*f*g^2*x^3 - 2*a*b*e*f^3*n*(x/e - d*log(e*x + d)/e^2) - 1/24*a*b*e*g^3*n*(12*d^4*log(e*x + d)/e^5 + (3*e^3*x^4 - 4*d*e^2*x^3 + 6*d^2*e*x^2 - 12*d^3*x)/e^4) + 1/3*a*b*e*f*g^2*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3) - 3/2*a*b*e*f^2*g*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + 3*a*b*f^2*g*x^2*log((e*x + d)^n*c) + b^2*f^3*x*log((e*x + d)^n*c)^2 + 3/2*a^2*f^2*g*x^2 + 2*a*b*f^3*x*log((e*x + d)^n*c) - (2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*b^2*f^3 - 3/4*(2*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c) - (e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n^2/e^2)*b^2*f^2*g + 1/18*(6*e*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3)*log((e*x + d)^n*c) + (4*e^3*x^3 - 15*d*e^2*x^2 - 18*d^3*log(e*x + d)^2 + 66*d^2*e*x - 66*d^3*log(e*x + d))*n^2/e^3)*b^2*f*g^2 - 1/288*(12*e*n*(12*d^4*log(e*x + d)/e^5 + (3*e^3*x^4 - 4*d*e^2*x^3 + 6*d^2*e*x^2 - 12*d^3*x)/e^4)*log((e*x + d)^n*c) - (9*e^4*x^4 - 28*d*e^3*x^3 + 78*d^2*e^2*x^2 + 72*d^4*log(e*x + d)^2 - 300*d^3*e*x + 300*d^4*log(e*x + d))*n^2/e^4)*b^2*g^3 + a^2*f^3*x","B",0
45,1,554,0,1.410270," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} g^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + \frac{2}{3} \, a b g^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + b^{2} f g x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + \frac{1}{3} \, a^{2} g^{2} x^{3} - 2 \, a b e f^{2} n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + \frac{1}{9} \, a b e g^{2} n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} - a b e f g n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + 2 \, a b f g x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + b^{2} f^{2} x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a^{2} f g x^{2} + 2 \, a b f^{2} x \log\left({\left(e x + d\right)}^{n} c\right) - {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} b^{2} f^{2} - \frac{1}{2} \, {\left(2 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) - \frac{{\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{2}}\right)} b^{2} f g + \frac{1}{54} \, {\left(6 \, e n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(4 \, e^{3} x^{3} - 15 \, d e^{2} x^{2} - 18 \, d^{3} \log\left(e x + d\right)^{2} + 66 \, d^{2} e x - 66 \, d^{3} \log\left(e x + d\right)\right)} n^{2}}{e^{3}}\right)} b^{2} g^{2} + a^{2} f^{2} x"," ",0,"1/3*b^2*g^2*x^3*log((e*x + d)^n*c)^2 + 2/3*a*b*g^2*x^3*log((e*x + d)^n*c) + b^2*f*g*x^2*log((e*x + d)^n*c)^2 + 1/3*a^2*g^2*x^3 - 2*a*b*e*f^2*n*(x/e - d*log(e*x + d)/e^2) + 1/9*a*b*e*g^2*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3) - a*b*e*f*g*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + 2*a*b*f*g*x^2*log((e*x + d)^n*c) + b^2*f^2*x*log((e*x + d)^n*c)^2 + a^2*f*g*x^2 + 2*a*b*f^2*x*log((e*x + d)^n*c) - (2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*b^2*f^2 - 1/2*(2*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c) - (e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n^2/e^2)*b^2*f*g + 1/54*(6*e*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3)*log((e*x + d)^n*c) + (4*e^3*x^3 - 15*d*e^2*x^2 - 18*d^3*log(e*x + d)^2 + 66*d^2*e*x - 66*d^3*log(e*x + d))*n^2/e^3)*b^2*g^2 + a^2*f^2*x","B",0
46,1,314,0,1.099291," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} g x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} - 2 \, a b e f n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} - \frac{1}{2} \, a b e g n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + a b g x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + b^{2} f x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + \frac{1}{2} \, a^{2} g x^{2} + 2 \, a b f x \log\left({\left(e x + d\right)}^{n} c\right) - {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} b^{2} f - \frac{1}{4} \, {\left(2 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) - \frac{{\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{2}}\right)} b^{2} g + a^{2} f x"," ",0,"1/2*b^2*g*x^2*log((e*x + d)^n*c)^2 - 2*a*b*e*f*n*(x/e - d*log(e*x + d)/e^2) - 1/2*a*b*e*g*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + a*b*g*x^2*log((e*x + d)^n*c) + b^2*f*x*log((e*x + d)^n*c)^2 + 1/2*a^2*g*x^2 + 2*a*b*f*x*log((e*x + d)^n*c) - (2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*b^2*f - 1/4*(2*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c) - (e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n^2/e^2)*b^2*g + a^2*f*x","A",0
47,1,131,0,0.998953," ","integrate((a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-2 \, a b e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + b^{2} x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b x \log\left({\left(e x + d\right)}^{n} c\right) - {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} b^{2} + a^{2} x"," ",0,"-2*a*b*e*n*(x/e - d*log(e*x + d)/e^2) + b^2*x*log((e*x + d)^n*c)^2 + 2*a*b*x*log((e*x + d)^n*c) - (2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*b^2 + a^2*x","B",0
48,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f),x, algorithm=""maxima"")","\frac{a^{2} \log\left(g x + f\right)}{g} + \int \frac{b^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x + f}\,{d x}"," ",0,"a^2*log(g*x + f)/g + integrate((b^2*log((e*x + d)^n)^2 + b^2*log(c)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log((e*x + d)^n))/(g*x + f), x)","F",0
49,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^2,x, algorithm=""maxima"")","2 \, a b e n {\left(\frac{\log\left(e x + d\right)}{e f g - d g^{2}} - \frac{\log\left(g x + f\right)}{e f g - d g^{2}}\right)} - b^{2} {\left(\frac{\log\left({\left(e x + d\right)}^{n}\right)^{2}}{g^{2} x + f g} - \int \frac{e g x \log\left(c\right)^{2} + d g \log\left(c\right)^{2} + 2 \, {\left(e f n + d g \log\left(c\right) + {\left(e g n + e g \log\left(c\right)\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)}{e g^{3} x^{3} + d f^{2} g + {\left(2 \, e f g^{2} + d g^{3}\right)} x^{2} + {\left(e f^{2} g + 2 \, d f g^{2}\right)} x}\,{d x}\right)} - \frac{2 \, a b \log\left({\left(e x + d\right)}^{n} c\right)}{g^{2} x + f g} - \frac{a^{2}}{g^{2} x + f g}"," ",0,"2*a*b*e*n*(log(e*x + d)/(e*f*g - d*g^2) - log(g*x + f)/(e*f*g - d*g^2)) - b^2*(log((e*x + d)^n)^2/(g^2*x + f*g) - integrate((e*g*x*log(c)^2 + d*g*log(c)^2 + 2*(e*f*n + d*g*log(c) + (e*g*n + e*g*log(c))*x)*log((e*x + d)^n))/(e*g^3*x^3 + d*f^2*g + (2*e*f*g^2 + d*g^3)*x^2 + (e*f^2*g + 2*d*f*g^2)*x), x)) - 2*a*b*log((e*x + d)^n*c)/(g^2*x + f*g) - a^2/(g^2*x + f*g)","F",0
50,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^3,x, algorithm=""maxima"")","a b e n {\left(\frac{e \log\left(e x + d\right)}{e^{2} f^{2} g - 2 \, d e f g^{2} + d^{2} g^{3}} - \frac{e \log\left(g x + f\right)}{e^{2} f^{2} g - 2 \, d e f g^{2} + d^{2} g^{3}} + \frac{1}{e f^{2} g - d f g^{2} + {\left(e f g^{2} - d g^{3}\right)} x}\right)} - \frac{1}{2} \, b^{2} {\left(\frac{\log\left({\left(e x + d\right)}^{n}\right)^{2}}{g^{3} x^{2} + 2 \, f g^{2} x + f^{2} g} - 2 \, \int \frac{e g x \log\left(c\right)^{2} + d g \log\left(c\right)^{2} + {\left(e f n + 2 \, d g \log\left(c\right) + {\left(e g n + 2 \, e g \log\left(c\right)\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)}{e g^{4} x^{4} + d f^{3} g + {\left(3 \, e f g^{3} + d g^{4}\right)} x^{3} + 3 \, {\left(e f^{2} g^{2} + d f g^{3}\right)} x^{2} + {\left(e f^{3} g + 3 \, d f^{2} g^{2}\right)} x}\,{d x}\right)} - \frac{a b \log\left({\left(e x + d\right)}^{n} c\right)}{g^{3} x^{2} + 2 \, f g^{2} x + f^{2} g} - \frac{a^{2}}{2 \, {\left(g^{3} x^{2} + 2 \, f g^{2} x + f^{2} g\right)}}"," ",0,"a*b*e*n*(e*log(e*x + d)/(e^2*f^2*g - 2*d*e*f*g^2 + d^2*g^3) - e*log(g*x + f)/(e^2*f^2*g - 2*d*e*f*g^2 + d^2*g^3) + 1/(e*f^2*g - d*f*g^2 + (e*f*g^2 - d*g^3)*x)) - 1/2*b^2*(log((e*x + d)^n)^2/(g^3*x^2 + 2*f*g^2*x + f^2*g) - 2*integrate((e*g*x*log(c)^2 + d*g*log(c)^2 + (e*f*n + 2*d*g*log(c) + (e*g*n + 2*e*g*log(c))*x)*log((e*x + d)^n))/(e*g^4*x^4 + d*f^3*g + (3*e*f*g^3 + d*g^4)*x^3 + 3*(e*f^2*g^2 + d*f*g^3)*x^2 + (e*f^3*g + 3*d*f^2*g^2)*x), x)) - a*b*log((e*x + d)^n*c)/(g^3*x^2 + 2*f*g^2*x + f^2*g) - 1/2*a^2/(g^3*x^2 + 2*f*g^2*x + f^2*g)","F",0
51,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^4,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(\frac{2 \, e^{2} \log\left(e x + d\right)}{e^{3} f^{3} g - 3 \, d e^{2} f^{2} g^{2} + 3 \, d^{2} e f g^{3} - d^{3} g^{4}} - \frac{2 \, e^{2} \log\left(g x + f\right)}{e^{3} f^{3} g - 3 \, d e^{2} f^{2} g^{2} + 3 \, d^{2} e f g^{3} - d^{3} g^{4}} + \frac{2 \, e g x + 3 \, e f - d g}{e^{2} f^{4} g - 2 \, d e f^{3} g^{2} + d^{2} f^{2} g^{3} + {\left(e^{2} f^{2} g^{3} - 2 \, d e f g^{4} + d^{2} g^{5}\right)} x^{2} + 2 \, {\left(e^{2} f^{3} g^{2} - 2 \, d e f^{2} g^{3} + d^{2} f g^{4}\right)} x}\right)} a b e n - \frac{1}{3} \, b^{2} {\left(\frac{\log\left({\left(e x + d\right)}^{n}\right)^{2}}{g^{4} x^{3} + 3 \, f g^{3} x^{2} + 3 \, f^{2} g^{2} x + f^{3} g} - 3 \, \int \frac{3 \, e g x \log\left(c\right)^{2} + 3 \, d g \log\left(c\right)^{2} + 2 \, {\left(e f n + 3 \, d g \log\left(c\right) + {\left(e g n + 3 \, e g \log\left(c\right)\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)}{3 \, {\left(e g^{5} x^{5} + d f^{4} g + {\left(4 \, e f g^{4} + d g^{5}\right)} x^{4} + 2 \, {\left(3 \, e f^{2} g^{3} + 2 \, d f g^{4}\right)} x^{3} + 2 \, {\left(2 \, e f^{3} g^{2} + 3 \, d f^{2} g^{3}\right)} x^{2} + {\left(e f^{4} g + 4 \, d f^{3} g^{2}\right)} x\right)}}\,{d x}\right)} - \frac{2 \, a b \log\left({\left(e x + d\right)}^{n} c\right)}{3 \, {\left(g^{4} x^{3} + 3 \, f g^{3} x^{2} + 3 \, f^{2} g^{2} x + f^{3} g\right)}} - \frac{a^{2}}{3 \, {\left(g^{4} x^{3} + 3 \, f g^{3} x^{2} + 3 \, f^{2} g^{2} x + f^{3} g\right)}}"," ",0,"1/3*(2*e^2*log(e*x + d)/(e^3*f^3*g - 3*d*e^2*f^2*g^2 + 3*d^2*e*f*g^3 - d^3*g^4) - 2*e^2*log(g*x + f)/(e^3*f^3*g - 3*d*e^2*f^2*g^2 + 3*d^2*e*f*g^3 - d^3*g^4) + (2*e*g*x + 3*e*f - d*g)/(e^2*f^4*g - 2*d*e*f^3*g^2 + d^2*f^2*g^3 + (e^2*f^2*g^3 - 2*d*e*f*g^4 + d^2*g^5)*x^2 + 2*(e^2*f^3*g^2 - 2*d*e*f^2*g^3 + d^2*f*g^4)*x))*a*b*e*n - 1/3*b^2*(log((e*x + d)^n)^2/(g^4*x^3 + 3*f*g^3*x^2 + 3*f^2*g^2*x + f^3*g) - 3*integrate(1/3*(3*e*g*x*log(c)^2 + 3*d*g*log(c)^2 + 2*(e*f*n + 3*d*g*log(c) + (e*g*n + 3*e*g*log(c))*x)*log((e*x + d)^n))/(e*g^5*x^5 + d*f^4*g + (4*e*f*g^4 + d*g^5)*x^4 + 2*(3*e*f^2*g^3 + 2*d*f*g^4)*x^3 + 2*(2*e*f^3*g^2 + 3*d*f^2*g^3)*x^2 + (e*f^4*g + 4*d*f^3*g^2)*x), x)) - 2/3*a*b*log((e*x + d)^n*c)/(g^4*x^3 + 3*f*g^3*x^2 + 3*f^2*g^2*x + f^3*g) - 1/3*a^2/(g^4*x^3 + 3*f*g^3*x^2 + 3*f^2*g^2*x + f^3*g)","F",0
52,1,1687,0,1.702706," ","integrate((g*x+f)^3*(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""maxima"")","\frac{1}{4} \, b^{3} g^{3} x^{4} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + \frac{3}{4} \, a b^{2} g^{3} x^{4} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + b^{3} f g^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + \frac{3}{4} \, a^{2} b g^{3} x^{4} \log\left({\left(e x + d\right)}^{n} c\right) + 3 \, a b^{2} f g^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + \frac{3}{2} \, b^{3} f^{2} g x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + \frac{1}{4} \, a^{3} g^{3} x^{4} + 3 \, a^{2} b f g^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{9}{2} \, a b^{2} f^{2} g x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + b^{3} f^{3} x \log\left({\left(e x + d\right)}^{n} c\right)^{3} + a^{3} f g^{2} x^{3} - 3 \, a^{2} b e f^{3} n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} - \frac{1}{16} \, a^{2} b e g^{3} n {\left(\frac{12 \, d^{4} \log\left(e x + d\right)}{e^{5}} + \frac{3 \, e^{3} x^{4} - 4 \, d e^{2} x^{3} + 6 \, d^{2} e x^{2} - 12 \, d^{3} x}{e^{4}}\right)} + \frac{1}{2} \, a^{2} b e f g^{2} n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} - \frac{9}{4} \, a^{2} b e f^{2} g n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + \frac{9}{2} \, a^{2} b f^{2} g x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + 3 \, a b^{2} f^{3} x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + \frac{3}{2} \, a^{3} f^{2} g x^{2} + 3 \, a^{2} b f^{3} x \log\left({\left(e x + d\right)}^{n} c\right) - 3 \, {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} a b^{2} f^{3} - {\left(3 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} - e n {\left(\frac{{\left(d \log\left(e x + d\right)^{3} + 3 \, d \log\left(e x + d\right)^{2} - 6 \, e x + 6 \, d \log\left(e x + d\right)\right)} n^{2}}{e^{2}} - \frac{3 \, {\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{2}}\right)}\right)} b^{3} f^{3} - \frac{9}{4} \, {\left(2 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) - \frac{{\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{2}}\right)} a b^{2} f^{2} g - \frac{3}{8} \, {\left(6 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + e n {\left(\frac{{\left(4 \, d^{2} \log\left(e x + d\right)^{3} + 3 \, e^{2} x^{2} + 18 \, d^{2} \log\left(e x + d\right)^{2} - 42 \, d e x + 42 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{3}} - \frac{6 \, {\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{3}}\right)}\right)} b^{3} f^{2} g + \frac{1}{6} \, {\left(6 \, e n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(4 \, e^{3} x^{3} - 15 \, d e^{2} x^{2} - 18 \, d^{3} \log\left(e x + d\right)^{2} + 66 \, d^{2} e x - 66 \, d^{3} \log\left(e x + d\right)\right)} n^{2}}{e^{3}}\right)} a b^{2} f g^{2} + \frac{1}{36} \, {\left(18 \, e n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} - e n {\left(\frac{{\left(8 \, e^{3} x^{3} - 36 \, d^{3} \log\left(e x + d\right)^{3} - 57 \, d e^{2} x^{2} - 198 \, d^{3} \log\left(e x + d\right)^{2} + 510 \, d^{2} e x - 510 \, d^{3} \log\left(e x + d\right)\right)} n^{2}}{e^{4}} - \frac{6 \, {\left(4 \, e^{3} x^{3} - 15 \, d e^{2} x^{2} - 18 \, d^{3} \log\left(e x + d\right)^{2} + 66 \, d^{2} e x - 66 \, d^{3} \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{4}}\right)}\right)} b^{3} f g^{2} - \frac{1}{96} \, {\left(12 \, e n {\left(\frac{12 \, d^{4} \log\left(e x + d\right)}{e^{5}} + \frac{3 \, e^{3} x^{4} - 4 \, d e^{2} x^{3} + 6 \, d^{2} e x^{2} - 12 \, d^{3} x}{e^{4}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) - \frac{{\left(9 \, e^{4} x^{4} - 28 \, d e^{3} x^{3} + 78 \, d^{2} e^{2} x^{2} + 72 \, d^{4} \log\left(e x + d\right)^{2} - 300 \, d^{3} e x + 300 \, d^{4} \log\left(e x + d\right)\right)} n^{2}}{e^{4}}\right)} a b^{2} g^{3} - \frac{1}{1152} \, {\left(72 \, e n {\left(\frac{12 \, d^{4} \log\left(e x + d\right)}{e^{5}} + \frac{3 \, e^{3} x^{4} - 4 \, d e^{2} x^{3} + 6 \, d^{2} e x^{2} - 12 \, d^{3} x}{e^{4}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + e n {\left(\frac{{\left(27 \, e^{4} x^{4} - 148 \, d e^{3} x^{3} + 288 \, d^{4} \log\left(e x + d\right)^{3} + 690 \, d^{2} e^{2} x^{2} + 1800 \, d^{4} \log\left(e x + d\right)^{2} - 4980 \, d^{3} e x + 4980 \, d^{4} \log\left(e x + d\right)\right)} n^{2}}{e^{5}} - \frac{12 \, {\left(9 \, e^{4} x^{4} - 28 \, d e^{3} x^{3} + 78 \, d^{2} e^{2} x^{2} + 72 \, d^{4} \log\left(e x + d\right)^{2} - 300 \, d^{3} e x + 300 \, d^{4} \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{5}}\right)}\right)} b^{3} g^{3} + a^{3} f^{3} x"," ",0,"1/4*b^3*g^3*x^4*log((e*x + d)^n*c)^3 + 3/4*a*b^2*g^3*x^4*log((e*x + d)^n*c)^2 + b^3*f*g^2*x^3*log((e*x + d)^n*c)^3 + 3/4*a^2*b*g^3*x^4*log((e*x + d)^n*c) + 3*a*b^2*f*g^2*x^3*log((e*x + d)^n*c)^2 + 3/2*b^3*f^2*g*x^2*log((e*x + d)^n*c)^3 + 1/4*a^3*g^3*x^4 + 3*a^2*b*f*g^2*x^3*log((e*x + d)^n*c) + 9/2*a*b^2*f^2*g*x^2*log((e*x + d)^n*c)^2 + b^3*f^3*x*log((e*x + d)^n*c)^3 + a^3*f*g^2*x^3 - 3*a^2*b*e*f^3*n*(x/e - d*log(e*x + d)/e^2) - 1/16*a^2*b*e*g^3*n*(12*d^4*log(e*x + d)/e^5 + (3*e^3*x^4 - 4*d*e^2*x^3 + 6*d^2*e*x^2 - 12*d^3*x)/e^4) + 1/2*a^2*b*e*f*g^2*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3) - 9/4*a^2*b*e*f^2*g*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + 9/2*a^2*b*f^2*g*x^2*log((e*x + d)^n*c) + 3*a*b^2*f^3*x*log((e*x + d)^n*c)^2 + 3/2*a^3*f^2*g*x^2 + 3*a^2*b*f^3*x*log((e*x + d)^n*c) - 3*(2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*a*b^2*f^3 - (3*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c)^2 - e*n*((d*log(e*x + d)^3 + 3*d*log(e*x + d)^2 - 6*e*x + 6*d*log(e*x + d))*n^2/e^2 - 3*(d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n*log((e*x + d)^n*c)/e^2))*b^3*f^3 - 9/4*(2*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c) - (e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n^2/e^2)*a*b^2*f^2*g - 3/8*(6*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c)^2 + e*n*((4*d^2*log(e*x + d)^3 + 3*e^2*x^2 + 18*d^2*log(e*x + d)^2 - 42*d*e*x + 42*d^2*log(e*x + d))*n^2/e^3 - 6*(e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n*log((e*x + d)^n*c)/e^3))*b^3*f^2*g + 1/6*(6*e*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3)*log((e*x + d)^n*c) + (4*e^3*x^3 - 15*d*e^2*x^2 - 18*d^3*log(e*x + d)^2 + 66*d^2*e*x - 66*d^3*log(e*x + d))*n^2/e^3)*a*b^2*f*g^2 + 1/36*(18*e*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3)*log((e*x + d)^n*c)^2 - e*n*((8*e^3*x^3 - 36*d^3*log(e*x + d)^3 - 57*d*e^2*x^2 - 198*d^3*log(e*x + d)^2 + 510*d^2*e*x - 510*d^3*log(e*x + d))*n^2/e^4 - 6*(4*e^3*x^3 - 15*d*e^2*x^2 - 18*d^3*log(e*x + d)^2 + 66*d^2*e*x - 66*d^3*log(e*x + d))*n*log((e*x + d)^n*c)/e^4))*b^3*f*g^2 - 1/96*(12*e*n*(12*d^4*log(e*x + d)/e^5 + (3*e^3*x^4 - 4*d*e^2*x^3 + 6*d^2*e*x^2 - 12*d^3*x)/e^4)*log((e*x + d)^n*c) - (9*e^4*x^4 - 28*d*e^3*x^3 + 78*d^2*e^2*x^2 + 72*d^4*log(e*x + d)^2 - 300*d^3*e*x + 300*d^4*log(e*x + d))*n^2/e^4)*a*b^2*g^3 - 1/1152*(72*e*n*(12*d^4*log(e*x + d)/e^5 + (3*e^3*x^4 - 4*d*e^2*x^3 + 6*d^2*e*x^2 - 12*d^3*x)/e^4)*log((e*x + d)^n*c)^2 + e*n*((27*e^4*x^4 - 148*d*e^3*x^3 + 288*d^4*log(e*x + d)^3 + 690*d^2*e^2*x^2 + 1800*d^4*log(e*x + d)^2 - 4980*d^3*e*x + 4980*d^4*log(e*x + d))*n^2/e^5 - 12*(9*e^4*x^4 - 28*d*e^3*x^3 + 78*d^2*e^2*x^2 + 72*d^4*log(e*x + d)^2 - 300*d^3*e*x + 300*d^4*log(e*x + d))*n*log((e*x + d)^n*c)/e^5))*b^3*g^3 + a^3*f^3*x","B",0
53,1,1140,0,1.547935," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""maxima"")","\frac{1}{3} \, b^{3} g^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + a b^{2} g^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + b^{3} f g x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + a^{2} b g^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + 3 \, a b^{2} f g x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + b^{3} f^{2} x \log\left({\left(e x + d\right)}^{n} c\right)^{3} + \frac{1}{3} \, a^{3} g^{2} x^{3} - 3 \, a^{2} b e f^{2} n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + \frac{1}{6} \, a^{2} b e g^{2} n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} - \frac{3}{2} \, a^{2} b e f g n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + 3 \, a^{2} b f g x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + 3 \, a b^{2} f^{2} x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a^{3} f g x^{2} + 3 \, a^{2} b f^{2} x \log\left({\left(e x + d\right)}^{n} c\right) - 3 \, {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} a b^{2} f^{2} - {\left(3 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} - e n {\left(\frac{{\left(d \log\left(e x + d\right)^{3} + 3 \, d \log\left(e x + d\right)^{2} - 6 \, e x + 6 \, d \log\left(e x + d\right)\right)} n^{2}}{e^{2}} - \frac{3 \, {\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{2}}\right)}\right)} b^{3} f^{2} - \frac{3}{2} \, {\left(2 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) - \frac{{\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{2}}\right)} a b^{2} f g - \frac{1}{4} \, {\left(6 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + e n {\left(\frac{{\left(4 \, d^{2} \log\left(e x + d\right)^{3} + 3 \, e^{2} x^{2} + 18 \, d^{2} \log\left(e x + d\right)^{2} - 42 \, d e x + 42 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{3}} - \frac{6 \, {\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{3}}\right)}\right)} b^{3} f g + \frac{1}{18} \, {\left(6 \, e n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(4 \, e^{3} x^{3} - 15 \, d e^{2} x^{2} - 18 \, d^{3} \log\left(e x + d\right)^{2} + 66 \, d^{2} e x - 66 \, d^{3} \log\left(e x + d\right)\right)} n^{2}}{e^{3}}\right)} a b^{2} g^{2} + \frac{1}{108} \, {\left(18 \, e n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} - e n {\left(\frac{{\left(8 \, e^{3} x^{3} - 36 \, d^{3} \log\left(e x + d\right)^{3} - 57 \, d e^{2} x^{2} - 198 \, d^{3} \log\left(e x + d\right)^{2} + 510 \, d^{2} e x - 510 \, d^{3} \log\left(e x + d\right)\right)} n^{2}}{e^{4}} - \frac{6 \, {\left(4 \, e^{3} x^{3} - 15 \, d e^{2} x^{2} - 18 \, d^{3} \log\left(e x + d\right)^{2} + 66 \, d^{2} e x - 66 \, d^{3} \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{4}}\right)}\right)} b^{3} g^{2} + a^{3} f^{2} x"," ",0,"1/3*b^3*g^2*x^3*log((e*x + d)^n*c)^3 + a*b^2*g^2*x^3*log((e*x + d)^n*c)^2 + b^3*f*g*x^2*log((e*x + d)^n*c)^3 + a^2*b*g^2*x^3*log((e*x + d)^n*c) + 3*a*b^2*f*g*x^2*log((e*x + d)^n*c)^2 + b^3*f^2*x*log((e*x + d)^n*c)^3 + 1/3*a^3*g^2*x^3 - 3*a^2*b*e*f^2*n*(x/e - d*log(e*x + d)/e^2) + 1/6*a^2*b*e*g^2*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3) - 3/2*a^2*b*e*f*g*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + 3*a^2*b*f*g*x^2*log((e*x + d)^n*c) + 3*a*b^2*f^2*x*log((e*x + d)^n*c)^2 + a^3*f*g*x^2 + 3*a^2*b*f^2*x*log((e*x + d)^n*c) - 3*(2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*a*b^2*f^2 - (3*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c)^2 - e*n*((d*log(e*x + d)^3 + 3*d*log(e*x + d)^2 - 6*e*x + 6*d*log(e*x + d))*n^2/e^2 - 3*(d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n*log((e*x + d)^n*c)/e^2))*b^3*f^2 - 3/2*(2*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c) - (e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n^2/e^2)*a*b^2*f*g - 1/4*(6*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c)^2 + e*n*((4*d^2*log(e*x + d)^3 + 3*e^2*x^2 + 18*d^2*log(e*x + d)^2 - 42*d*e*x + 42*d^2*log(e*x + d))*n^2/e^3 - 6*(e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n*log((e*x + d)^n*c)/e^3))*b^3*f*g + 1/18*(6*e*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3)*log((e*x + d)^n*c) + (4*e^3*x^3 - 15*d*e^2*x^2 - 18*d^3*log(e*x + d)^2 + 66*d^2*e*x - 66*d^3*log(e*x + d))*n^2/e^3)*a*b^2*g^2 + 1/108*(18*e*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3)*log((e*x + d)^n*c)^2 - e*n*((8*e^3*x^3 - 36*d^3*log(e*x + d)^3 - 57*d*e^2*x^2 - 198*d^3*log(e*x + d)^2 + 510*d^2*e*x - 510*d^3*log(e*x + d))*n^2/e^4 - 6*(4*e^3*x^3 - 15*d*e^2*x^2 - 18*d^3*log(e*x + d)^2 + 66*d^2*e*x - 66*d^3*log(e*x + d))*n*log((e*x + d)^n*c)/e^4))*b^3*g^2 + a^3*f^2*x","B",0
54,1,662,0,1.275987," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""maxima"")","\frac{1}{2} \, b^{3} g x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + \frac{3}{2} \, a b^{2} g x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + b^{3} f x \log\left({\left(e x + d\right)}^{n} c\right)^{3} - 3 \, a^{2} b e f n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} - \frac{3}{4} \, a^{2} b e g n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + \frac{3}{2} \, a^{2} b g x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + 3 \, a b^{2} f x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + \frac{1}{2} \, a^{3} g x^{2} + 3 \, a^{2} b f x \log\left({\left(e x + d\right)}^{n} c\right) - 3 \, {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} a b^{2} f - {\left(3 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} - e n {\left(\frac{{\left(d \log\left(e x + d\right)^{3} + 3 \, d \log\left(e x + d\right)^{2} - 6 \, e x + 6 \, d \log\left(e x + d\right)\right)} n^{2}}{e^{2}} - \frac{3 \, {\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{2}}\right)}\right)} b^{3} f - \frac{3}{4} \, {\left(2 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) - \frac{{\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{2}}\right)} a b^{2} g - \frac{1}{8} \, {\left(6 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + e n {\left(\frac{{\left(4 \, d^{2} \log\left(e x + d\right)^{3} + 3 \, e^{2} x^{2} + 18 \, d^{2} \log\left(e x + d\right)^{2} - 42 \, d e x + 42 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{3}} - \frac{6 \, {\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{3}}\right)}\right)} b^{3} g + a^{3} f x"," ",0,"1/2*b^3*g*x^2*log((e*x + d)^n*c)^3 + 3/2*a*b^2*g*x^2*log((e*x + d)^n*c)^2 + b^3*f*x*log((e*x + d)^n*c)^3 - 3*a^2*b*e*f*n*(x/e - d*log(e*x + d)/e^2) - 3/4*a^2*b*e*g*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + 3/2*a^2*b*g*x^2*log((e*x + d)^n*c) + 3*a*b^2*f*x*log((e*x + d)^n*c)^2 + 1/2*a^3*g*x^2 + 3*a^2*b*f*x*log((e*x + d)^n*c) - 3*(2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*a*b^2*f - (3*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c)^2 - e*n*((d*log(e*x + d)^3 + 3*d*log(e*x + d)^2 - 6*e*x + 6*d*log(e*x + d))*n^2/e^2 - 3*(d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n*log((e*x + d)^n*c)/e^2))*b^3*f - 3/4*(2*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c) - (e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n^2/e^2)*a*b^2*g - 1/8*(6*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c)^2 + e*n*((4*d^2*log(e*x + d)^3 + 3*e^2*x^2 + 18*d^2*log(e*x + d)^2 - 42*d*e*x + 42*d^2*log(e*x + d))*n^2/e^3 - 6*(e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n*log((e*x + d)^n*c)/e^3))*b^3*g + a^3*f*x","B",0
55,1,282,0,1.154932," ","integrate((a+b*log(c*(e*x+d)^n))^3,x, algorithm=""maxima"")","b^{3} x \log\left({\left(e x + d\right)}^{n} c\right)^{3} - 3 \, a^{2} b e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + 3 \, a b^{2} x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b x \log\left({\left(e x + d\right)}^{n} c\right) - 3 \, {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} a b^{2} - {\left(3 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} - e n {\left(\frac{{\left(d \log\left(e x + d\right)^{3} + 3 \, d \log\left(e x + d\right)^{2} - 6 \, e x + 6 \, d \log\left(e x + d\right)\right)} n^{2}}{e^{2}} - \frac{3 \, {\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{2}}\right)}\right)} b^{3} + a^{3} x"," ",0,"b^3*x*log((e*x + d)^n*c)^3 - 3*a^2*b*e*n*(x/e - d*log(e*x + d)/e^2) + 3*a*b^2*x*log((e*x + d)^n*c)^2 + 3*a^2*b*x*log((e*x + d)^n*c) - 3*(2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*a*b^2 - (3*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c)^2 - e*n*((d*log(e*x + d)^3 + 3*d*log(e*x + d)^2 - 6*e*x + 6*d*log(e*x + d))*n^2/e^2 - 3*(d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n*log((e*x + d)^n*c)/e^2))*b^3 + a^3*x","B",0
56,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f),x, algorithm=""maxima"")","\frac{a^{3} \log\left(g x + f\right)}{g} + \int \frac{b^{3} \log\left({\left(e x + d\right)}^{n}\right)^{3} + b^{3} \log\left(c\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + 3 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} + 2 \, a b^{2} \log\left(c\right) + a^{2} b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x + f}\,{d x}"," ",0,"a^3*log(g*x + f)/g + integrate((b^3*log((e*x + d)^n)^3 + b^3*log(c)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + 3*(b^3*log(c) + a*b^2)*log((e*x + d)^n)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log((e*x + d)^n))/(g*x + f), x)","F",0
57,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f)^2,x, algorithm=""maxima"")","3 \, a^{2} b e n {\left(\frac{\log\left(e x + d\right)}{e f g - d g^{2}} - \frac{\log\left(g x + f\right)}{e f g - d g^{2}}\right)} - \frac{b^{3} \log\left({\left(e x + d\right)}^{n}\right)^{3}}{g^{2} x + f g} - \frac{3 \, a^{2} b \log\left({\left(e x + d\right)}^{n} c\right)}{g^{2} x + f g} - \frac{a^{3}}{g^{2} x + f g} + \int \frac{b^{3} d g \log\left(c\right)^{3} + 3 \, a b^{2} d g \log\left(c\right)^{2} + 3 \, {\left(a b^{2} d g + {\left(e f n + d g \log\left(c\right)\right)} b^{3} + {\left(a b^{2} e g + {\left(e g n + e g \log\left(c\right)\right)} b^{3}\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + {\left(b^{3} e g \log\left(c\right)^{3} + 3 \, a b^{2} e g \log\left(c\right)^{2}\right)} x + 3 \, {\left(b^{3} d g \log\left(c\right)^{2} + 2 \, a b^{2} d g \log\left(c\right) + {\left(b^{3} e g \log\left(c\right)^{2} + 2 \, a b^{2} e g \log\left(c\right)\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)}{e g^{3} x^{3} + d f^{2} g + {\left(2 \, e f g^{2} + d g^{3}\right)} x^{2} + {\left(e f^{2} g + 2 \, d f g^{2}\right)} x}\,{d x}"," ",0,"3*a^2*b*e*n*(log(e*x + d)/(e*f*g - d*g^2) - log(g*x + f)/(e*f*g - d*g^2)) - b^3*log((e*x + d)^n)^3/(g^2*x + f*g) - 3*a^2*b*log((e*x + d)^n*c)/(g^2*x + f*g) - a^3/(g^2*x + f*g) + integrate((b^3*d*g*log(c)^3 + 3*a*b^2*d*g*log(c)^2 + 3*(a*b^2*d*g + (e*f*n + d*g*log(c))*b^3 + (a*b^2*e*g + (e*g*n + e*g*log(c))*b^3)*x)*log((e*x + d)^n)^2 + (b^3*e*g*log(c)^3 + 3*a*b^2*e*g*log(c)^2)*x + 3*(b^3*d*g*log(c)^2 + 2*a*b^2*d*g*log(c) + (b^3*e*g*log(c)^2 + 2*a*b^2*e*g*log(c))*x)*log((e*x + d)^n))/(e*g^3*x^3 + d*f^2*g + (2*e*f*g^2 + d*g^3)*x^2 + (e*f^2*g + 2*d*f*g^2)*x), x)","F",0
58,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f)^3,x, algorithm=""maxima"")","\frac{3}{2} \, a^{2} b e n {\left(\frac{e \log\left(e x + d\right)}{e^{2} f^{2} g - 2 \, d e f g^{2} + d^{2} g^{3}} - \frac{e \log\left(g x + f\right)}{e^{2} f^{2} g - 2 \, d e f g^{2} + d^{2} g^{3}} + \frac{1}{e f^{2} g - d f g^{2} + {\left(e f g^{2} - d g^{3}\right)} x}\right)} - \frac{b^{3} \log\left({\left(e x + d\right)}^{n}\right)^{3}}{2 \, {\left(g^{3} x^{2} + 2 \, f g^{2} x + f^{2} g\right)}} - \frac{3 \, a^{2} b \log\left({\left(e x + d\right)}^{n} c\right)}{2 \, {\left(g^{3} x^{2} + 2 \, f g^{2} x + f^{2} g\right)}} - \frac{a^{3}}{2 \, {\left(g^{3} x^{2} + 2 \, f g^{2} x + f^{2} g\right)}} + \int \frac{2 \, b^{3} d g \log\left(c\right)^{3} + 6 \, a b^{2} d g \log\left(c\right)^{2} + 3 \, {\left(2 \, a b^{2} d g + {\left(e f n + 2 \, d g \log\left(c\right)\right)} b^{3} + {\left(2 \, a b^{2} e g + {\left(e g n + 2 \, e g \log\left(c\right)\right)} b^{3}\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 2 \, {\left(b^{3} e g \log\left(c\right)^{3} + 3 \, a b^{2} e g \log\left(c\right)^{2}\right)} x + 6 \, {\left(b^{3} d g \log\left(c\right)^{2} + 2 \, a b^{2} d g \log\left(c\right) + {\left(b^{3} e g \log\left(c\right)^{2} + 2 \, a b^{2} e g \log\left(c\right)\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)}{2 \, {\left(e g^{4} x^{4} + d f^{3} g + {\left(3 \, e f g^{3} + d g^{4}\right)} x^{3} + 3 \, {\left(e f^{2} g^{2} + d f g^{3}\right)} x^{2} + {\left(e f^{3} g + 3 \, d f^{2} g^{2}\right)} x\right)}}\,{d x}"," ",0,"3/2*a^2*b*e*n*(e*log(e*x + d)/(e^2*f^2*g - 2*d*e*f*g^2 + d^2*g^3) - e*log(g*x + f)/(e^2*f^2*g - 2*d*e*f*g^2 + d^2*g^3) + 1/(e*f^2*g - d*f*g^2 + (e*f*g^2 - d*g^3)*x)) - 1/2*b^3*log((e*x + d)^n)^3/(g^3*x^2 + 2*f*g^2*x + f^2*g) - 3/2*a^2*b*log((e*x + d)^n*c)/(g^3*x^2 + 2*f*g^2*x + f^2*g) - 1/2*a^3/(g^3*x^2 + 2*f*g^2*x + f^2*g) + integrate(1/2*(2*b^3*d*g*log(c)^3 + 6*a*b^2*d*g*log(c)^2 + 3*(2*a*b^2*d*g + (e*f*n + 2*d*g*log(c))*b^3 + (2*a*b^2*e*g + (e*g*n + 2*e*g*log(c))*b^3)*x)*log((e*x + d)^n)^2 + 2*(b^3*e*g*log(c)^3 + 3*a*b^2*e*g*log(c)^2)*x + 6*(b^3*d*g*log(c)^2 + 2*a*b^2*d*g*log(c) + (b^3*e*g*log(c)^2 + 2*a*b^2*e*g*log(c))*x)*log((e*x + d)^n))/(e*g^4*x^4 + d*f^3*g + (3*e*f*g^3 + d*g^4)*x^3 + 3*(e*f^2*g^2 + d*f*g^3)*x^2 + (e*f^3*g + 3*d*f^2*g^2)*x), x)","F",0
59,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f)^4,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{2 \, e^{2} \log\left(e x + d\right)}{e^{3} f^{3} g - 3 \, d e^{2} f^{2} g^{2} + 3 \, d^{2} e f g^{3} - d^{3} g^{4}} - \frac{2 \, e^{2} \log\left(g x + f\right)}{e^{3} f^{3} g - 3 \, d e^{2} f^{2} g^{2} + 3 \, d^{2} e f g^{3} - d^{3} g^{4}} + \frac{2 \, e g x + 3 \, e f - d g}{e^{2} f^{4} g - 2 \, d e f^{3} g^{2} + d^{2} f^{2} g^{3} + {\left(e^{2} f^{2} g^{3} - 2 \, d e f g^{4} + d^{2} g^{5}\right)} x^{2} + 2 \, {\left(e^{2} f^{3} g^{2} - 2 \, d e f^{2} g^{3} + d^{2} f g^{4}\right)} x}\right)} a^{2} b e n - \frac{b^{3} \log\left({\left(e x + d\right)}^{n}\right)^{3}}{3 \, {\left(g^{4} x^{3} + 3 \, f g^{3} x^{2} + 3 \, f^{2} g^{2} x + f^{3} g\right)}} - \frac{a^{2} b \log\left({\left(e x + d\right)}^{n} c\right)}{g^{4} x^{3} + 3 \, f g^{3} x^{2} + 3 \, f^{2} g^{2} x + f^{3} g} - \frac{a^{3}}{3 \, {\left(g^{4} x^{3} + 3 \, f g^{3} x^{2} + 3 \, f^{2} g^{2} x + f^{3} g\right)}} + \int \frac{b^{3} d g \log\left(c\right)^{3} + 3 \, a b^{2} d g \log\left(c\right)^{2} + {\left(3 \, a b^{2} d g + {\left(e f n + 3 \, d g \log\left(c\right)\right)} b^{3} + {\left(3 \, a b^{2} e g + {\left(e g n + 3 \, e g \log\left(c\right)\right)} b^{3}\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + {\left(b^{3} e g \log\left(c\right)^{3} + 3 \, a b^{2} e g \log\left(c\right)^{2}\right)} x + 3 \, {\left(b^{3} d g \log\left(c\right)^{2} + 2 \, a b^{2} d g \log\left(c\right) + {\left(b^{3} e g \log\left(c\right)^{2} + 2 \, a b^{2} e g \log\left(c\right)\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)}{e g^{5} x^{5} + d f^{4} g + {\left(4 \, e f g^{4} + d g^{5}\right)} x^{4} + 2 \, {\left(3 \, e f^{2} g^{3} + 2 \, d f g^{4}\right)} x^{3} + 2 \, {\left(2 \, e f^{3} g^{2} + 3 \, d f^{2} g^{3}\right)} x^{2} + {\left(e f^{4} g + 4 \, d f^{3} g^{2}\right)} x}\,{d x}"," ",0,"1/2*(2*e^2*log(e*x + d)/(e^3*f^3*g - 3*d*e^2*f^2*g^2 + 3*d^2*e*f*g^3 - d^3*g^4) - 2*e^2*log(g*x + f)/(e^3*f^3*g - 3*d*e^2*f^2*g^2 + 3*d^2*e*f*g^3 - d^3*g^4) + (2*e*g*x + 3*e*f - d*g)/(e^2*f^4*g - 2*d*e*f^3*g^2 + d^2*f^2*g^3 + (e^2*f^2*g^3 - 2*d*e*f*g^4 + d^2*g^5)*x^2 + 2*(e^2*f^3*g^2 - 2*d*e*f^2*g^3 + d^2*f*g^4)*x))*a^2*b*e*n - 1/3*b^3*log((e*x + d)^n)^3/(g^4*x^3 + 3*f*g^3*x^2 + 3*f^2*g^2*x + f^3*g) - a^2*b*log((e*x + d)^n*c)/(g^4*x^3 + 3*f*g^3*x^2 + 3*f^2*g^2*x + f^3*g) - 1/3*a^3/(g^4*x^3 + 3*f*g^3*x^2 + 3*f^2*g^2*x + f^3*g) + integrate((b^3*d*g*log(c)^3 + 3*a*b^2*d*g*log(c)^2 + (3*a*b^2*d*g + (e*f*n + 3*d*g*log(c))*b^3 + (3*a*b^2*e*g + (e*g*n + 3*e*g*log(c))*b^3)*x)*log((e*x + d)^n)^2 + (b^3*e*g*log(c)^3 + 3*a*b^2*e*g*log(c)^2)*x + 3*(b^3*d*g*log(c)^2 + 2*a*b^2*d*g*log(c) + (b^3*e*g*log(c)^2 + 2*a*b^2*e*g*log(c))*x)*log((e*x + d)^n))/(e*g^5*x^5 + d*f^4*g + (4*e*f*g^4 + d*g^5)*x^4 + 2*(3*e*f^2*g^3 + 2*d*f*g^4)*x^3 + 2*(2*e*f^3*g^2 + 3*d*f^2*g^3)*x^2 + (e*f^4*g + 4*d*f^3*g^2)*x), x)","F",0
60,1,1163,0,1.553176," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^4,x, algorithm=""maxima"")","\frac{1}{2} \, b^{4} g x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{4} + 2 \, a b^{3} g x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + b^{4} f x \log\left({\left(e x + d\right)}^{n} c\right)^{4} + 3 \, a^{2} b^{2} g x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 4 \, a b^{3} f x \log\left({\left(e x + d\right)}^{n} c\right)^{3} - 4 \, a^{3} b e f n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} - a^{3} b e g n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + 2 \, a^{3} b g x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + 6 \, a^{2} b^{2} f x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + \frac{1}{2} \, a^{4} g x^{2} + 4 \, a^{3} b f x \log\left({\left(e x + d\right)}^{n} c\right) - 6 \, {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} a^{2} b^{2} f - 4 \, {\left(3 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} - e n {\left(\frac{{\left(d \log\left(e x + d\right)^{3} + 3 \, d \log\left(e x + d\right)^{2} - 6 \, e x + 6 \, d \log\left(e x + d\right)\right)} n^{2}}{e^{2}} - \frac{3 \, {\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{2}}\right)}\right)} a b^{3} f - {\left(4 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + {\left(e n {\left(\frac{{\left(d \log\left(e x + d\right)^{4} + 4 \, d \log\left(e x + d\right)^{3} + 12 \, d \log\left(e x + d\right)^{2} - 24 \, e x + 24 \, d \log\left(e x + d\right)\right)} n^{2}}{e^{3}} - \frac{4 \, {\left(d \log\left(e x + d\right)^{3} + 3 \, d \log\left(e x + d\right)^{2} - 6 \, e x + 6 \, d \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{3}}\right)} + \frac{6 \, {\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)^{2}}{e^{2}}\right)} e n\right)} b^{4} f - \frac{3}{2} \, {\left(2 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) - \frac{{\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{2}}\right)} a^{2} b^{2} g - \frac{1}{2} \, {\left(6 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + e n {\left(\frac{{\left(4 \, d^{2} \log\left(e x + d\right)^{3} + 3 \, e^{2} x^{2} + 18 \, d^{2} \log\left(e x + d\right)^{2} - 42 \, d e x + 42 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{3}} - \frac{6 \, {\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{3}}\right)}\right)} a b^{3} g - \frac{1}{4} \, {\left(4 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{3} - {\left(e n {\left(\frac{{\left(2 \, d^{2} \log\left(e x + d\right)^{4} + 12 \, d^{2} \log\left(e x + d\right)^{3} + 3 \, e^{2} x^{2} + 42 \, d^{2} \log\left(e x + d\right)^{2} - 90 \, d e x + 90 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{4}} - \frac{2 \, {\left(4 \, d^{2} \log\left(e x + d\right)^{3} + 3 \, e^{2} x^{2} + 18 \, d^{2} \log\left(e x + d\right)^{2} - 42 \, d e x + 42 \, d^{2} \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{4}}\right)} + \frac{6 \, {\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)^{2}}{e^{3}}\right)} e n\right)} b^{4} g + a^{4} f x"," ",0,"1/2*b^4*g*x^2*log((e*x + d)^n*c)^4 + 2*a*b^3*g*x^2*log((e*x + d)^n*c)^3 + b^4*f*x*log((e*x + d)^n*c)^4 + 3*a^2*b^2*g*x^2*log((e*x + d)^n*c)^2 + 4*a*b^3*f*x*log((e*x + d)^n*c)^3 - 4*a^3*b*e*f*n*(x/e - d*log(e*x + d)/e^2) - a^3*b*e*g*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + 2*a^3*b*g*x^2*log((e*x + d)^n*c) + 6*a^2*b^2*f*x*log((e*x + d)^n*c)^2 + 1/2*a^4*g*x^2 + 4*a^3*b*f*x*log((e*x + d)^n*c) - 6*(2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*a^2*b^2*f - 4*(3*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c)^2 - e*n*((d*log(e*x + d)^3 + 3*d*log(e*x + d)^2 - 6*e*x + 6*d*log(e*x + d))*n^2/e^2 - 3*(d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n*log((e*x + d)^n*c)/e^2))*a*b^3*f - (4*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c)^3 + (e*n*((d*log(e*x + d)^4 + 4*d*log(e*x + d)^3 + 12*d*log(e*x + d)^2 - 24*e*x + 24*d*log(e*x + d))*n^2/e^3 - 4*(d*log(e*x + d)^3 + 3*d*log(e*x + d)^2 - 6*e*x + 6*d*log(e*x + d))*n*log((e*x + d)^n*c)/e^3) + 6*(d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n*log((e*x + d)^n*c)^2/e^2)*e*n)*b^4*f - 3/2*(2*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c) - (e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n^2/e^2)*a^2*b^2*g - 1/2*(6*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c)^2 + e*n*((4*d^2*log(e*x + d)^3 + 3*e^2*x^2 + 18*d^2*log(e*x + d)^2 - 42*d*e*x + 42*d^2*log(e*x + d))*n^2/e^3 - 6*(e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n*log((e*x + d)^n*c)/e^3))*a*b^3*g - 1/4*(4*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c)^3 - (e*n*((2*d^2*log(e*x + d)^4 + 12*d^2*log(e*x + d)^3 + 3*e^2*x^2 + 42*d^2*log(e*x + d)^2 - 90*d*e*x + 90*d^2*log(e*x + d))*n^2/e^4 - 2*(4*d^2*log(e*x + d)^3 + 3*e^2*x^2 + 18*d^2*log(e*x + d)^2 - 42*d*e*x + 42*d^2*log(e*x + d))*n*log((e*x + d)^n*c)/e^4) + 6*(e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n*log((e*x + d)^n*c)^2/e^3)*e*n)*b^4*g + a^4*f*x","B",0
61,1,500,0,1.288812," ","integrate((a+b*log(c*(e*x+d)^n))^4,x, algorithm=""maxima"")","b^{4} x \log\left({\left(e x + d\right)}^{n} c\right)^{4} + 4 \, a b^{3} x \log\left({\left(e x + d\right)}^{n} c\right)^{3} - 4 \, a^{3} b e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + 6 \, a^{2} b^{2} x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 4 \, a^{3} b x \log\left({\left(e x + d\right)}^{n} c\right) - 6 \, {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} a^{2} b^{2} - 4 \, {\left(3 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} - e n {\left(\frac{{\left(d \log\left(e x + d\right)^{3} + 3 \, d \log\left(e x + d\right)^{2} - 6 \, e x + 6 \, d \log\left(e x + d\right)\right)} n^{2}}{e^{2}} - \frac{3 \, {\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{2}}\right)}\right)} a b^{3} - {\left(4 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + {\left(e n {\left(\frac{{\left(d \log\left(e x + d\right)^{4} + 4 \, d \log\left(e x + d\right)^{3} + 12 \, d \log\left(e x + d\right)^{2} - 24 \, e x + 24 \, d \log\left(e x + d\right)\right)} n^{2}}{e^{3}} - \frac{4 \, {\left(d \log\left(e x + d\right)^{3} + 3 \, d \log\left(e x + d\right)^{2} - 6 \, e x + 6 \, d \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{3}}\right)} + \frac{6 \, {\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)^{2}}{e^{2}}\right)} e n\right)} b^{4} + a^{4} x"," ",0,"b^4*x*log((e*x + d)^n*c)^4 + 4*a*b^3*x*log((e*x + d)^n*c)^3 - 4*a^3*b*e*n*(x/e - d*log(e*x + d)/e^2) + 6*a^2*b^2*x*log((e*x + d)^n*c)^2 + 4*a^3*b*x*log((e*x + d)^n*c) - 6*(2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*a^2*b^2 - 4*(3*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c)^2 - e*n*((d*log(e*x + d)^3 + 3*d*log(e*x + d)^2 - 6*e*x + 6*d*log(e*x + d))*n^2/e^2 - 3*(d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n*log((e*x + d)^n*c)/e^2))*a*b^3 - (4*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c)^3 + (e*n*((d*log(e*x + d)^4 + 4*d*log(e*x + d)^3 + 12*d*log(e*x + d)^2 - 24*e*x + 24*d*log(e*x + d))*n^2/e^3 - 4*(d*log(e*x + d)^3 + 3*d*log(e*x + d)^2 - 6*e*x + 6*d*log(e*x + d))*n*log((e*x + d)^n*c)/e^3) + 6*(d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n*log((e*x + d)^n*c)^2/e^2)*e*n)*b^4 + a^4*x","B",0
62,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^4/(g*x+f),x, algorithm=""maxima"")","\frac{a^{4} \log\left(g x + f\right)}{g} + \int \frac{b^{4} \log\left({\left(e x + d\right)}^{n}\right)^{4} + b^{4} \log\left(c\right)^{4} + 4 \, a b^{3} \log\left(c\right)^{3} + 6 \, a^{2} b^{2} \log\left(c\right)^{2} + 4 \, a^{3} b \log\left(c\right) + 4 \, {\left(b^{4} \log\left(c\right) + a b^{3}\right)} \log\left({\left(e x + d\right)}^{n}\right)^{3} + 6 \, {\left(b^{4} \log\left(c\right)^{2} + 2 \, a b^{3} \log\left(c\right) + a^{2} b^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 4 \, {\left(b^{4} \log\left(c\right)^{3} + 3 \, a b^{3} \log\left(c\right)^{2} + 3 \, a^{2} b^{2} \log\left(c\right) + a^{3} b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x + f}\,{d x}"," ",0,"a^4*log(g*x + f)/g + integrate((b^4*log((e*x + d)^n)^4 + b^4*log(c)^4 + 4*a*b^3*log(c)^3 + 6*a^2*b^2*log(c)^2 + 4*a^3*b*log(c) + 4*(b^4*log(c) + a*b^3)*log((e*x + d)^n)^3 + 6*(b^4*log(c)^2 + 2*a*b^3*log(c) + a^2*b^2)*log((e*x + d)^n)^2 + 4*(b^4*log(c)^3 + 3*a*b^3*log(c)^2 + 3*a^2*b^2*log(c) + a^3*b)*log((e*x + d)^n))/(g*x + f), x)","F",0
63,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^4/(g*x+f)^2,x, algorithm=""maxima"")","4 \, a^{3} b e n {\left(\frac{\log\left(e x + d\right)}{e f g - d g^{2}} - \frac{\log\left(g x + f\right)}{e f g - d g^{2}}\right)} - \frac{b^{4} \log\left({\left(e x + d\right)}^{n}\right)^{4}}{g^{2} x + f g} - \frac{4 \, a^{3} b \log\left({\left(e x + d\right)}^{n} c\right)}{g^{2} x + f g} - \frac{a^{4}}{g^{2} x + f g} + \int \frac{b^{4} d g \log\left(c\right)^{4} + 4 \, a b^{3} d g \log\left(c\right)^{3} + 6 \, a^{2} b^{2} d g \log\left(c\right)^{2} + 4 \, {\left(a b^{3} d g + {\left(e f n + d g \log\left(c\right)\right)} b^{4} + {\left(a b^{3} e g + {\left(e g n + e g \log\left(c\right)\right)} b^{4}\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)^{3} + 6 \, {\left(b^{4} d g \log\left(c\right)^{2} + 2 \, a b^{3} d g \log\left(c\right) + a^{2} b^{2} d g + {\left(b^{4} e g \log\left(c\right)^{2} + 2 \, a b^{3} e g \log\left(c\right) + a^{2} b^{2} e g\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + {\left(b^{4} e g \log\left(c\right)^{4} + 4 \, a b^{3} e g \log\left(c\right)^{3} + 6 \, a^{2} b^{2} e g \log\left(c\right)^{2}\right)} x + 4 \, {\left(b^{4} d g \log\left(c\right)^{3} + 3 \, a b^{3} d g \log\left(c\right)^{2} + 3 \, a^{2} b^{2} d g \log\left(c\right) + {\left(b^{4} e g \log\left(c\right)^{3} + 3 \, a b^{3} e g \log\left(c\right)^{2} + 3 \, a^{2} b^{2} e g \log\left(c\right)\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)}{e g^{3} x^{3} + d f^{2} g + {\left(2 \, e f g^{2} + d g^{3}\right)} x^{2} + {\left(e f^{2} g + 2 \, d f g^{2}\right)} x}\,{d x}"," ",0,"4*a^3*b*e*n*(log(e*x + d)/(e*f*g - d*g^2) - log(g*x + f)/(e*f*g - d*g^2)) - b^4*log((e*x + d)^n)^4/(g^2*x + f*g) - 4*a^3*b*log((e*x + d)^n*c)/(g^2*x + f*g) - a^4/(g^2*x + f*g) + integrate((b^4*d*g*log(c)^4 + 4*a*b^3*d*g*log(c)^3 + 6*a^2*b^2*d*g*log(c)^2 + 4*(a*b^3*d*g + (e*f*n + d*g*log(c))*b^4 + (a*b^3*e*g + (e*g*n + e*g*log(c))*b^4)*x)*log((e*x + d)^n)^3 + 6*(b^4*d*g*log(c)^2 + 2*a*b^3*d*g*log(c) + a^2*b^2*d*g + (b^4*e*g*log(c)^2 + 2*a*b^3*e*g*log(c) + a^2*b^2*e*g)*x)*log((e*x + d)^n)^2 + (b^4*e*g*log(c)^4 + 4*a*b^3*e*g*log(c)^3 + 6*a^2*b^2*e*g*log(c)^2)*x + 4*(b^4*d*g*log(c)^3 + 3*a*b^3*d*g*log(c)^2 + 3*a^2*b^2*d*g*log(c) + (b^4*e*g*log(c)^3 + 3*a*b^3*e*g*log(c)^2 + 3*a^2*b^2*e*g*log(c))*x)*log((e*x + d)^n))/(e*g^3*x^3 + d*f^2*g + (2*e*f*g^2 + d*g^3)*x^2 + (e*f^2*g + 2*d*f*g^2)*x), x)","F",0
64,1,23,0,0.634996," ","integrate(log(b*x+a),x, algorithm=""maxima"")","-\frac{b x - {\left(b x + a\right)} \log\left(b x + a\right) + a}{b}"," ",0,"-(b*x - (b*x + a)*log(b*x + a) + a)/b","A",0
65,1,27,0,0.667630," ","integrate(log(b*x+a)^2,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)} {\left(\log\left(b x + a\right)^{2} - 2 \, \log\left(b x + a\right) + 2\right)}}{b}"," ",0,"(b*x + a)*(log(b*x + a)^2 - 2*log(b*x + a) + 2)/b","A",0
66,1,37,0,0.797740," ","integrate(log(b*x+a)^3,x, algorithm=""maxima"")","\frac{{\left(\log\left(b x + a\right)^{3} - 3 \, \log\left(b x + a\right)^{2} + 6 \, \log\left(b x + a\right) - 6\right)} {\left(b x + a\right)}}{b}"," ",0,"(log(b*x + a)^3 - 3*log(b*x + a)^2 + 6*log(b*x + a) - 6)*(b*x + a)/b","A",0
67,1,34,0,0.695769," ","integrate(log(b*x+c*x+a),x, algorithm=""maxima"")","-\frac{b x + c x - {\left(b x + c x + a\right)} \log\left(b x + c x + a\right) + a}{b + c}"," ",0,"-(b*x + c*x - (b*x + c*x + a)*log(b*x + c*x + a) + a)/(b + c)","A",0
68,1,38,0,0.690448," ","integrate(log(b*x+c*x+a)^2,x, algorithm=""maxima"")","\frac{{\left(b x + c x + a\right)} {\left(\log\left(b x + c x + a\right)^{2} - 2 \, \log\left(b x + c x + a\right) + 2\right)}}{b + c}"," ",0,"(b*x + c*x + a)*(log(b*x + c*x + a)^2 - 2*log(b*x + c*x + a) + 2)/(b + c)","A",0
69,1,51,0,0.611211," ","integrate(log(b*x+c*x+a)^3,x, algorithm=""maxima"")","\frac{{\left(\log\left(b x + c x + a\right)^{3} - 3 \, \log\left(b x + c x + a\right)^{2} + 6 \, \log\left(b x + c x + a\right) - 6\right)} {\left(b x + c x + a\right)}}{b + c}"," ",0,"(log(b*x + c*x + a)^3 - 3*log(b*x + c*x + a)^2 + 6*log(b*x + c*x + a) - 6)*(b*x + c*x + a)/(b + c)","A",0
70,1,35,0,0.715329," ","integrate(log(c*(e*x+d)^n),x, algorithm=""maxima"")","-e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + x \log\left({\left(e x + d\right)}^{n} c\right)"," ",0,"-e*n*(x/e - d*log(e*x + d)/e^2) + x*log((e*x + d)^n*c)","A",0
71,1,102,0,0.673715," ","integrate(log(-g*(e*x+d)/(-d*g+e*f))/(g*x+f),x, algorithm=""maxima"")","-\frac{\log\left(e x + d\right) \log\left(g x + f\right)}{g} + \frac{\log\left(g x + f\right) \log\left(-\frac{{\left(e x + d\right)} g}{e f - d g}\right)}{g} + \frac{\log\left(e x + d\right) \log\left(\frac{e g x + d g}{e f - d g} + 1\right) + {\rm Li}_2\left(-\frac{e g x + d g}{e f - d g}\right)}{g}"," ",0,"-log(e*x + d)*log(g*x + f)/g + log(g*x + f)*log(-(e*x + d)*g/(e*f - d*g))/g + (log(e*x + d)*log((e*g*x + d*g)/(e*f - d*g) + 1) + dilog(-(e*g*x + d*g)/(e*f - d*g)))/g","B",0
72,0,0,0,0.000000," ","integrate((a+b*log(c*(1/c+e*x)))/x,x, algorithm=""maxima"")","b \int \frac{\log\left(c e x + 1\right)}{x}\,{d x} + a \log\left(x\right)"," ",0,"b*integrate(log(c*e*x + 1)/x, x) + a*log(x)","F",0
73,1,20,0,1.041407," ","integrate(log(e*x+3)/x,x, algorithm=""maxima"")","\log\left(e x + 3\right) \log\left(-\frac{1}{3} \, e x\right) + {\rm Li}_2\left(\frac{1}{3} \, e x + 1\right)"," ",0,"log(e*x + 3)*log(-1/3*e*x) + dilog(1/3*e*x + 1)","A",0
74,1,20,0,0.621810," ","integrate(log(e*x+2)/x,x, algorithm=""maxima"")","\log\left(e x + 2\right) \log\left(-\frac{1}{2} \, e x\right) + {\rm Li}_2\left(\frac{1}{2} \, e x + 1\right)"," ",0,"log(e*x + 2)*log(-1/2*e*x) + dilog(1/2*e*x + 1)","A",0
75,1,19,0,0.849615," ","integrate(log(e*x+1)/x,x, algorithm=""maxima"")","\log\left(e x + 1\right) \log\left(-e x\right) + {\rm Li}_2\left(e x + 1\right)"," ",0,"log(e*x + 1)*log(-e*x) + dilog(e*x + 1)","B",0
76,1,8,0,0.671033," ","integrate(log(e*x)/x,x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(e x\right)^{2}"," ",0,"1/2*log(e*x)^2","A",0
77,1,19,0,0.724581," ","integrate(log(e*x-1)/x,x, algorithm=""maxima"")","\log\left(e x - 1\right) \log\left(e x\right) + {\rm Li}_2\left(-e x + 1\right)"," ",0,"log(e*x - 1)*log(e*x) + dilog(-e*x + 1)","A",0
78,1,20,0,0.678169," ","integrate(log(e*x-2)/x,x, algorithm=""maxima"")","\log\left(e x - 2\right) \log\left(\frac{1}{2} \, e x\right) + {\rm Li}_2\left(-\frac{1}{2} \, e x + 1\right)"," ",0,"log(e*x - 2)*log(1/2*e*x) + dilog(-1/2*e*x + 1)","A",0
79,1,27,0,0.941400," ","integrate((a+b*log(e*x+3))/x,x, algorithm=""maxima"")","{\left(\log\left(e x + 3\right) \log\left(-\frac{1}{3} \, e x\right) + {\rm Li}_2\left(\frac{1}{3} \, e x + 1\right)\right)} b + a \log\left(x\right)"," ",0,"(log(e*x + 3)*log(-1/3*e*x) + dilog(1/3*e*x + 1))*b + a*log(x)","A",0
80,1,27,0,0.810953," ","integrate((a+b*log(e*x+2))/x,x, algorithm=""maxima"")","{\left(\log\left(e x + 2\right) \log\left(-\frac{1}{2} \, e x\right) + {\rm Li}_2\left(\frac{1}{2} \, e x + 1\right)\right)} b + a \log\left(x\right)"," ",0,"(log(e*x + 2)*log(-1/2*e*x) + dilog(1/2*e*x + 1))*b + a*log(x)","A",0
81,1,26,0,1.141971," ","integrate((a+b*log(e*x+1))/x,x, algorithm=""maxima"")","{\left(\log\left(e x + 1\right) \log\left(-e x\right) + {\rm Li}_2\left(e x + 1\right)\right)} b + a \log\left(x\right)"," ",0,"(log(e*x + 1)*log(-e*x) + dilog(e*x + 1))*b + a*log(x)","A",0
82,1,15,0,0.722665," ","integrate((a+b*log(e*x))/x,x, algorithm=""maxima"")","\frac{{\left(b \log\left(e x\right) + a\right)}^{2}}{2 \, b}"," ",0,"1/2*(b*log(e*x) + a)^2/b","A",0
83,1,26,0,0.987432," ","integrate((a+b*log(e*x-1))/x,x, algorithm=""maxima"")","{\left(\log\left(e x - 1\right) \log\left(e x\right) + {\rm Li}_2\left(-e x + 1\right)\right)} b + a \log\left(x\right)"," ",0,"(log(e*x - 1)*log(e*x) + dilog(-e*x + 1))*b + a*log(x)","A",0
84,1,27,0,0.829544," ","integrate((a+b*log(e*x-2))/x,x, algorithm=""maxima"")","{\left(\log\left(e x - 2\right) \log\left(\frac{1}{2} \, e x\right) + {\rm Li}_2\left(-\frac{1}{2} \, e x + 1\right)\right)} b + a \log\left(x\right)"," ",0,"(log(e*x - 2)*log(1/2*e*x) + dilog(-1/2*e*x + 1))*b + a*log(x)","A",0
85,1,131,0,0.595182," ","integrate(x^2*log(c*(b*x+a)^n)^2,x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \log\left({\left(b x + a\right)}^{n} c\right)^{2} + \frac{1}{9} \, b n {\left(\frac{6 \, a^{3} \log\left(b x + a\right)}{b^{4}} - \frac{2 \, b^{2} x^{3} - 3 \, a b x^{2} + 6 \, a^{2} x}{b^{3}}\right)} \log\left({\left(b x + a\right)}^{n} c\right) + \frac{{\left(4 \, b^{3} x^{3} - 15 \, a b^{2} x^{2} - 18 \, a^{3} \log\left(b x + a\right)^{2} + 66 \, a^{2} b x - 66 \, a^{3} \log\left(b x + a\right)\right)} n^{2}}{54 \, b^{3}}"," ",0,"1/3*x^3*log((b*x + a)^n*c)^2 + 1/9*b*n*(6*a^3*log(b*x + a)/b^4 - (2*b^2*x^3 - 3*a*b*x^2 + 6*a^2*x)/b^3)*log((b*x + a)^n*c) + 1/54*(4*b^3*x^3 - 15*a*b^2*x^2 - 18*a^3*log(b*x + a)^2 + 66*a^2*b*x - 66*a^3*log(b*x + a))*n^2/b^3","A",0
86,1,150,0,0.792632," ","integrate(log(c*(b*x+a)^n)^2/x^4,x, algorithm=""maxima"")","-\frac{1}{3} \, b^{2} n^{2} {\left(\frac{2 \, {\left(\log\left(\frac{b x}{a} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{b x}{a}\right)\right)} b}{a^{3}} - \frac{3 \, b \log\left(b x + a\right)}{a^{3}} - \frac{b x \log\left(b x + a\right)^{2} - 3 \, b x \log\left(x\right) - a}{a^{3} x}\right)} - \frac{1}{3} \, b n {\left(\frac{2 \, b^{2} \log\left(b x + a\right)}{a^{3}} - \frac{2 \, b^{2} \log\left(x\right)}{a^{3}} - \frac{2 \, b x - a}{a^{2} x^{2}}\right)} \log\left({\left(b x + a\right)}^{n} c\right) - \frac{\log\left({\left(b x + a\right)}^{n} c\right)^{2}}{3 \, x^{3}}"," ",0,"-1/3*b^2*n^2*(2*(log(b*x/a + 1)*log(x) + dilog(-b*x/a))*b/a^3 - 3*b*log(b*x + a)/a^3 - (b*x*log(b*x + a)^2 - 3*b*x*log(x) - a)/(a^3*x)) - 1/3*b*n*(2*b^2*log(b*x + a)/a^3 - 2*b^2*log(x)/a^3 - (2*b*x - a)/(a^2*x^2))*log((b*x + a)^n*c) - 1/3*log((b*x + a)^n*c)^2/x^3","A",0
87,1,215,0,0.616644," ","integrate(x^2*log(c*(b*x+a)^n)^3,x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \log\left({\left(b x + a\right)}^{n} c\right)^{3} + \frac{1}{6} \, b n {\left(\frac{6 \, a^{3} \log\left(b x + a\right)}{b^{4}} - \frac{2 \, b^{2} x^{3} - 3 \, a b x^{2} + 6 \, a^{2} x}{b^{3}}\right)} \log\left({\left(b x + a\right)}^{n} c\right)^{2} - \frac{1}{108} \, b n {\left(\frac{{\left(8 \, b^{3} x^{3} - 36 \, a^{3} \log\left(b x + a\right)^{3} - 57 \, a b^{2} x^{2} - 198 \, a^{3} \log\left(b x + a\right)^{2} + 510 \, a^{2} b x - 510 \, a^{3} \log\left(b x + a\right)\right)} n^{2}}{b^{4}} - \frac{6 \, {\left(4 \, b^{3} x^{3} - 15 \, a b^{2} x^{2} - 18 \, a^{3} \log\left(b x + a\right)^{2} + 66 \, a^{2} b x - 66 \, a^{3} \log\left(b x + a\right)\right)} n \log\left({\left(b x + a\right)}^{n} c\right)}{b^{4}}\right)}"," ",0,"1/3*x^3*log((b*x + a)^n*c)^3 + 1/6*b*n*(6*a^3*log(b*x + a)/b^4 - (2*b^2*x^3 - 3*a*b*x^2 + 6*a^2*x)/b^3)*log((b*x + a)^n*c)^2 - 1/108*b*n*((8*b^3*x^3 - 36*a^3*log(b*x + a)^3 - 57*a*b^2*x^2 - 198*a^3*log(b*x + a)^2 + 510*a^2*b*x - 510*a^3*log(b*x + a))*n^2/b^4 - 6*(4*b^3*x^3 - 15*a*b^2*x^2 - 18*a^3*log(b*x + a)^2 + 66*a^2*b*x - 66*a^3*log(b*x + a))*n*log((b*x + a)^n*c)/b^4)","A",0
88,0,0,0,0.000000," ","integrate((g*x+f)^3/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{3}}{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate((g*x + f)^3/(b*log((e*x + d)^n*c) + a), x)","F",0
89,0,0,0,0.000000," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{2}}{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate((g*x + f)^2/(b*log((e*x + d)^n*c) + a), x)","F",0
90,0,0,0,0.000000," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\int \frac{g x + f}{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate((g*x + f)/(b*log((e*x + d)^n*c) + a), x)","F",0
91,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\int \frac{1}{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate(1/(b*log((e*x + d)^n*c) + a), x)","F",0
92,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(b*log((e*x + d)^n*c) + a)), x)","F",0
93,0,0,0,0.000000," ","integrate(1/(g*x+f)^2/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(g x + f\right)}^{2} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((g*x + f)^2*(b*log((e*x + d)^n*c) + a)), x)","F",0
94,0,0,0,0.000000," ","integrate((g*x+f)^3/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-\frac{e g^{3} x^{4} + d f^{3} + {\left(3 \, e f g^{2} + d g^{3}\right)} x^{3} + 3 \, {\left(e f^{2} g + d f g^{2}\right)} x^{2} + {\left(e f^{3} + 3 \, d f^{2} g\right)} x}{b^{2} e n \log\left({\left(e x + d\right)}^{n}\right) + b^{2} e n \log\left(c\right) + a b e n} + \int \frac{4 \, e g^{3} x^{3} + e f^{3} + 3 \, d f^{2} g + 3 \, {\left(3 \, e f g^{2} + d g^{3}\right)} x^{2} + 6 \, {\left(e f^{2} g + d f g^{2}\right)} x}{b^{2} e n \log\left({\left(e x + d\right)}^{n}\right) + b^{2} e n \log\left(c\right) + a b e n}\,{d x}"," ",0,"-(e*g^3*x^4 + d*f^3 + (3*e*f*g^2 + d*g^3)*x^3 + 3*(e*f^2*g + d*f*g^2)*x^2 + (e*f^3 + 3*d*f^2*g)*x)/(b^2*e*n*log((e*x + d)^n) + b^2*e*n*log(c) + a*b*e*n) + integrate((4*e*g^3*x^3 + e*f^3 + 3*d*f^2*g + 3*(3*e*f*g^2 + d*g^3)*x^2 + 6*(e*f^2*g + d*f*g^2)*x)/(b^2*e*n*log((e*x + d)^n) + b^2*e*n*log(c) + a*b*e*n), x)","F",0
95,0,0,0,0.000000," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-\frac{e g^{2} x^{3} + d f^{2} + {\left(2 \, e f g + d g^{2}\right)} x^{2} + {\left(e f^{2} + 2 \, d f g\right)} x}{b^{2} e n \log\left({\left(e x + d\right)}^{n}\right) + b^{2} e n \log\left(c\right) + a b e n} + \int \frac{3 \, e g^{2} x^{2} + e f^{2} + 2 \, d f g + 2 \, {\left(2 \, e f g + d g^{2}\right)} x}{b^{2} e n \log\left({\left(e x + d\right)}^{n}\right) + b^{2} e n \log\left(c\right) + a b e n}\,{d x}"," ",0,"-(e*g^2*x^3 + d*f^2 + (2*e*f*g + d*g^2)*x^2 + (e*f^2 + 2*d*f*g)*x)/(b^2*e*n*log((e*x + d)^n) + b^2*e*n*log(c) + a*b*e*n) + integrate((3*e*g^2*x^2 + e*f^2 + 2*d*f*g + 2*(2*e*f*g + d*g^2)*x)/(b^2*e*n*log((e*x + d)^n) + b^2*e*n*log(c) + a*b*e*n), x)","F",0
96,0,0,0,0.000000," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-\frac{e g x^{2} + d f + {\left(e f + d g\right)} x}{b^{2} e n \log\left({\left(e x + d\right)}^{n}\right) + b^{2} e n \log\left(c\right) + a b e n} + \int \frac{2 \, e g x + e f + d g}{b^{2} e n \log\left({\left(e x + d\right)}^{n}\right) + b^{2} e n \log\left(c\right) + a b e n}\,{d x}"," ",0,"-(e*g*x^2 + d*f + (e*f + d*g)*x)/(b^2*e*n*log((e*x + d)^n) + b^2*e*n*log(c) + a*b*e*n) + integrate((2*e*g*x + e*f + d*g)/(b^2*e*n*log((e*x + d)^n) + b^2*e*n*log(c) + a*b*e*n), x)","F",0
97,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-\frac{e x + d}{b^{2} e n \log\left({\left(e x + d\right)}^{n}\right) + b^{2} e n \log\left(c\right) + a b e n} + \int \frac{1}{b^{2} n \log\left({\left(e x + d\right)}^{n}\right) + b^{2} n \log\left(c\right) + a b n}\,{d x}"," ",0,"-(e*x + d)/(b^2*e*n*log((e*x + d)^n) + b^2*e*n*log(c) + a*b*e*n) + integrate(1/(b^2*n*log((e*x + d)^n) + b^2*n*log(c) + a*b*n), x)","F",0
98,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","{\left(e f - d g\right)} \int \frac{1}{b^{2} e f^{2} n \log\left(c\right) + a b e f^{2} n + {\left(b^{2} e g^{2} n \log\left(c\right) + a b e g^{2} n\right)} x^{2} + 2 \, {\left(b^{2} e f g n \log\left(c\right) + a b e f g n\right)} x + {\left(b^{2} e g^{2} n x^{2} + 2 \, b^{2} e f g n x + b^{2} e f^{2} n\right)} \log\left({\left(e x + d\right)}^{n}\right)}\,{d x} - \frac{e x + d}{b^{2} e f n \log\left(c\right) + a b e f n + {\left(b^{2} e g n \log\left(c\right) + a b e g n\right)} x + {\left(b^{2} e g n x + b^{2} e f n\right)} \log\left({\left(e x + d\right)}^{n}\right)}"," ",0,"(e*f - d*g)*integrate(1/(b^2*e*f^2*n*log(c) + a*b*e*f^2*n + (b^2*e*g^2*n*log(c) + a*b*e*g^2*n)*x^2 + 2*(b^2*e*f*g*n*log(c) + a*b*e*f*g*n)*x + (b^2*e*g^2*n*x^2 + 2*b^2*e*f*g*n*x + b^2*e*f^2*n)*log((e*x + d)^n)), x) - (e*x + d)/(b^2*e*f*n*log(c) + a*b*e*f*n + (b^2*e*g*n*log(c) + a*b*e*g*n)*x + (b^2*e*g*n*x + b^2*e*f*n)*log((e*x + d)^n))","F",0
99,0,0,0,0.000000," ","integrate(1/(g*x+f)^2/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-\frac{e x + d}{b^{2} e f^{2} n \log\left(c\right) + a b e f^{2} n + {\left(b^{2} e g^{2} n \log\left(c\right) + a b e g^{2} n\right)} x^{2} + 2 \, {\left(b^{2} e f g n \log\left(c\right) + a b e f g n\right)} x + {\left(b^{2} e g^{2} n x^{2} + 2 \, b^{2} e f g n x + b^{2} e f^{2} n\right)} \log\left({\left(e x + d\right)}^{n}\right)} - \int \frac{e g x - e f + 2 \, d g}{b^{2} e f^{3} n \log\left(c\right) + a b e f^{3} n + {\left(b^{2} e g^{3} n \log\left(c\right) + a b e g^{3} n\right)} x^{3} + 3 \, {\left(b^{2} e f g^{2} n \log\left(c\right) + a b e f g^{2} n\right)} x^{2} + 3 \, {\left(b^{2} e f^{2} g n \log\left(c\right) + a b e f^{2} g n\right)} x + {\left(b^{2} e g^{3} n x^{3} + 3 \, b^{2} e f g^{2} n x^{2} + 3 \, b^{2} e f^{2} g n x + b^{2} e f^{3} n\right)} \log\left({\left(e x + d\right)}^{n}\right)}\,{d x}"," ",0,"-(e*x + d)/(b^2*e*f^2*n*log(c) + a*b*e*f^2*n + (b^2*e*g^2*n*log(c) + a*b*e*g^2*n)*x^2 + 2*(b^2*e*f*g*n*log(c) + a*b*e*f*g*n)*x + (b^2*e*g^2*n*x^2 + 2*b^2*e*f*g*n*x + b^2*e*f^2*n)*log((e*x + d)^n)) - integrate((e*g*x - e*f + 2*d*g)/(b^2*e*f^3*n*log(c) + a*b*e*f^3*n + (b^2*e*g^3*n*log(c) + a*b*e*g^3*n)*x^3 + 3*(b^2*e*f*g^2*n*log(c) + a*b*e*f*g^2*n)*x^2 + 3*(b^2*e*f^2*g*n*log(c) + a*b*e*f^2*g*n)*x + (b^2*e*g^3*n*x^3 + 3*b^2*e*f*g^2*n*x^2 + 3*b^2*e*f^2*g*n*x + b^2*e*f^3*n)*log((e*x + d)^n)), x)","F",0
100,0,0,0,0.000000," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""maxima"")","-\frac{{\left(3 \, a e^{2} g^{2} + {\left(e^{2} g^{2} n + 3 \, e^{2} g^{2} \log\left(c\right)\right)} b\right)} x^{3} + {\left({\left(4 \, e^{2} f g + 5 \, d e g^{2}\right)} a + {\left(2 \, e^{2} f g n + d e g^{2} n + {\left(4 \, e^{2} f g + 5 \, d e g^{2}\right)} \log\left(c\right)\right)} b\right)} x^{2} + {\left(d e f^{2} + 2 \, d^{2} f g\right)} a + {\left(d e f^{2} n + {\left(d e f^{2} + 2 \, d^{2} f g\right)} \log\left(c\right)\right)} b + {\left({\left(e^{2} f^{2} + 6 \, d e f g + 2 \, d^{2} g^{2}\right)} a + {\left(e^{2} f^{2} n + 2 \, d e f g n + {\left(e^{2} f^{2} + 6 \, d e f g + 2 \, d^{2} g^{2}\right)} \log\left(c\right)\right)} b\right)} x + {\left(3 \, b e^{2} g^{2} x^{3} + {\left(4 \, e^{2} f g + 5 \, d e g^{2}\right)} b x^{2} + {\left(e^{2} f^{2} + 6 \, d e f g + 2 \, d^{2} g^{2}\right)} b x + {\left(d e f^{2} + 2 \, d^{2} f g\right)} b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{2 \, {\left(b^{4} e^{2} n^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{4} e^{2} n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} e^{2} n^{2} \log\left(c\right) + a^{2} b^{2} e^{2} n^{2} + 2 \, {\left(b^{4} e^{2} n^{2} \log\left(c\right) + a b^{3} e^{2} n^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)}} + \int \frac{9 \, e^{2} g^{2} x^{2} + e^{2} f^{2} + 6 \, d e f g + 2 \, d^{2} g^{2} + 2 \, {\left(4 \, e^{2} f g + 5 \, d e g^{2}\right)} x}{2 \, {\left(b^{3} e^{2} n^{2} \log\left({\left(e x + d\right)}^{n}\right) + b^{3} e^{2} n^{2} \log\left(c\right) + a b^{2} e^{2} n^{2}\right)}}\,{d x}"," ",0,"-1/2*((3*a*e^2*g^2 + (e^2*g^2*n + 3*e^2*g^2*log(c))*b)*x^3 + ((4*e^2*f*g + 5*d*e*g^2)*a + (2*e^2*f*g*n + d*e*g^2*n + (4*e^2*f*g + 5*d*e*g^2)*log(c))*b)*x^2 + (d*e*f^2 + 2*d^2*f*g)*a + (d*e*f^2*n + (d*e*f^2 + 2*d^2*f*g)*log(c))*b + ((e^2*f^2 + 6*d*e*f*g + 2*d^2*g^2)*a + (e^2*f^2*n + 2*d*e*f*g*n + (e^2*f^2 + 6*d*e*f*g + 2*d^2*g^2)*log(c))*b)*x + (3*b*e^2*g^2*x^3 + (4*e^2*f*g + 5*d*e*g^2)*b*x^2 + (e^2*f^2 + 6*d*e*f*g + 2*d^2*g^2)*b*x + (d*e*f^2 + 2*d^2*f*g)*b)*log((e*x + d)^n))/(b^4*e^2*n^2*log((e*x + d)^n)^2 + b^4*e^2*n^2*log(c)^2 + 2*a*b^3*e^2*n^2*log(c) + a^2*b^2*e^2*n^2 + 2*(b^4*e^2*n^2*log(c) + a*b^3*e^2*n^2)*log((e*x + d)^n)) + integrate(1/2*(9*e^2*g^2*x^2 + e^2*f^2 + 6*d*e*f*g + 2*d^2*g^2 + 2*(4*e^2*f*g + 5*d*e*g^2)*x)/(b^3*e^2*n^2*log((e*x + d)^n) + b^3*e^2*n^2*log(c) + a*b^2*e^2*n^2), x)","F",0
101,0,0,0,0.000000," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""maxima"")","-\frac{{\left(2 \, a e^{2} g + {\left(e^{2} g n + 2 \, e^{2} g \log\left(c\right)\right)} b\right)} x^{2} + {\left(d e f + d^{2} g\right)} a + {\left(d e f n + {\left(d e f + d^{2} g\right)} \log\left(c\right)\right)} b + {\left({\left(e^{2} f + 3 \, d e g\right)} a + {\left(e^{2} f n + d e g n + {\left(e^{2} f + 3 \, d e g\right)} \log\left(c\right)\right)} b\right)} x + {\left(2 \, b e^{2} g x^{2} + {\left(e^{2} f + 3 \, d e g\right)} b x + {\left(d e f + d^{2} g\right)} b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{2 \, {\left(b^{4} e^{2} n^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{4} e^{2} n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} e^{2} n^{2} \log\left(c\right) + a^{2} b^{2} e^{2} n^{2} + 2 \, {\left(b^{4} e^{2} n^{2} \log\left(c\right) + a b^{3} e^{2} n^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)}} + \int \frac{4 \, e g x + e f + 3 \, d g}{2 \, {\left(b^{3} e n^{2} \log\left({\left(e x + d\right)}^{n}\right) + b^{3} e n^{2} \log\left(c\right) + a b^{2} e n^{2}\right)}}\,{d x}"," ",0,"-1/2*((2*a*e^2*g + (e^2*g*n + 2*e^2*g*log(c))*b)*x^2 + (d*e*f + d^2*g)*a + (d*e*f*n + (d*e*f + d^2*g)*log(c))*b + ((e^2*f + 3*d*e*g)*a + (e^2*f*n + d*e*g*n + (e^2*f + 3*d*e*g)*log(c))*b)*x + (2*b*e^2*g*x^2 + (e^2*f + 3*d*e*g)*b*x + (d*e*f + d^2*g)*b)*log((e*x + d)^n))/(b^4*e^2*n^2*log((e*x + d)^n)^2 + b^4*e^2*n^2*log(c)^2 + 2*a*b^3*e^2*n^2*log(c) + a^2*b^2*e^2*n^2 + 2*(b^4*e^2*n^2*log(c) + a*b^3*e^2*n^2)*log((e*x + d)^n)) + integrate(1/2*(4*e*g*x + e*f + 3*d*g)/(b^3*e*n^2*log((e*x + d)^n) + b^3*e*n^2*log(c) + a*b^2*e*n^2), x)","F",0
102,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""maxima"")","-\frac{{\left(d n + d \log\left(c\right)\right)} b + a d + {\left({\left(e n + e \log\left(c\right)\right)} b + a e\right)} x + {\left(b e x + b d\right)} \log\left({\left(e x + d\right)}^{n}\right)}{2 \, {\left(b^{4} e n^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{4} e n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} e n^{2} \log\left(c\right) + a^{2} b^{2} e n^{2} + 2 \, {\left(b^{4} e n^{2} \log\left(c\right) + a b^{3} e n^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)}} + \int \frac{1}{2 \, {\left(b^{3} n^{2} \log\left({\left(e x + d\right)}^{n}\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)}}\,{d x}"," ",0,"-1/2*((d*n + d*log(c))*b + a*d + ((e*n + e*log(c))*b + a*e)*x + (b*e*x + b*d)*log((e*x + d)^n))/(b^4*e*n^2*log((e*x + d)^n)^2 + b^4*e*n^2*log(c)^2 + 2*a*b^3*e*n^2*log(c) + a^2*b^2*e*n^2 + 2*(b^4*e*n^2*log(c) + a*b^3*e*n^2)*log((e*x + d)^n)) + integrate(1/2/(b^3*n^2*log((e*x + d)^n) + b^3*n^2*log(c) + a*b^2*n^2), x)","F",0
103,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""maxima"")","-\frac{b e^{2} g n x^{2} + {\left(d e f - d^{2} g\right)} a + {\left(d e f n + {\left(d e f - d^{2} g\right)} \log\left(c\right)\right)} b + {\left({\left(e^{2} f - d e g\right)} a + {\left(e^{2} f n + d e g n + {\left(e^{2} f - d e g\right)} \log\left(c\right)\right)} b\right)} x + {\left({\left(e^{2} f - d e g\right)} b x + {\left(d e f - d^{2} g\right)} b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{2 \, {\left(b^{4} e^{2} f^{2} n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} e^{2} f^{2} n^{2} \log\left(c\right) + a^{2} b^{2} e^{2} f^{2} n^{2} + {\left(b^{4} e^{2} g^{2} n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} e^{2} g^{2} n^{2} \log\left(c\right) + a^{2} b^{2} e^{2} g^{2} n^{2}\right)} x^{2} + {\left(b^{4} e^{2} g^{2} n^{2} x^{2} + 2 \, b^{4} e^{2} f g n^{2} x + b^{4} e^{2} f^{2} n^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 2 \, {\left(b^{4} e^{2} f g n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} e^{2} f g n^{2} \log\left(c\right) + a^{2} b^{2} e^{2} f g n^{2}\right)} x + 2 \, {\left(b^{4} e^{2} f^{2} n^{2} \log\left(c\right) + a b^{3} e^{2} f^{2} n^{2} + {\left(b^{4} e^{2} g^{2} n^{2} \log\left(c\right) + a b^{3} e^{2} g^{2} n^{2}\right)} x^{2} + 2 \, {\left(b^{4} e^{2} f g n^{2} \log\left(c\right) + a b^{3} e^{2} f g n^{2}\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)}} + \int \frac{e^{2} f^{2} - 3 \, d e f g + 2 \, d^{2} g^{2} - {\left(e^{2} f g - d e g^{2}\right)} x}{2 \, {\left(b^{3} e^{2} f^{3} n^{2} \log\left(c\right) + a b^{2} e^{2} f^{3} n^{2} + {\left(b^{3} e^{2} g^{3} n^{2} \log\left(c\right) + a b^{2} e^{2} g^{3} n^{2}\right)} x^{3} + 3 \, {\left(b^{3} e^{2} f g^{2} n^{2} \log\left(c\right) + a b^{2} e^{2} f g^{2} n^{2}\right)} x^{2} + 3 \, {\left(b^{3} e^{2} f^{2} g n^{2} \log\left(c\right) + a b^{2} e^{2} f^{2} g n^{2}\right)} x + {\left(b^{3} e^{2} g^{3} n^{2} x^{3} + 3 \, b^{3} e^{2} f g^{2} n^{2} x^{2} + 3 \, b^{3} e^{2} f^{2} g n^{2} x + b^{3} e^{2} f^{3} n^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)}}\,{d x}"," ",0,"-1/2*(b*e^2*g*n*x^2 + (d*e*f - d^2*g)*a + (d*e*f*n + (d*e*f - d^2*g)*log(c))*b + ((e^2*f - d*e*g)*a + (e^2*f*n + d*e*g*n + (e^2*f - d*e*g)*log(c))*b)*x + ((e^2*f - d*e*g)*b*x + (d*e*f - d^2*g)*b)*log((e*x + d)^n))/(b^4*e^2*f^2*n^2*log(c)^2 + 2*a*b^3*e^2*f^2*n^2*log(c) + a^2*b^2*e^2*f^2*n^2 + (b^4*e^2*g^2*n^2*log(c)^2 + 2*a*b^3*e^2*g^2*n^2*log(c) + a^2*b^2*e^2*g^2*n^2)*x^2 + (b^4*e^2*g^2*n^2*x^2 + 2*b^4*e^2*f*g*n^2*x + b^4*e^2*f^2*n^2)*log((e*x + d)^n)^2 + 2*(b^4*e^2*f*g*n^2*log(c)^2 + 2*a*b^3*e^2*f*g*n^2*log(c) + a^2*b^2*e^2*f*g*n^2)*x + 2*(b^4*e^2*f^2*n^2*log(c) + a*b^3*e^2*f^2*n^2 + (b^4*e^2*g^2*n^2*log(c) + a*b^3*e^2*g^2*n^2)*x^2 + 2*(b^4*e^2*f*g*n^2*log(c) + a*b^3*e^2*f*g*n^2)*x)*log((e*x + d)^n)) + integrate(1/2*(e^2*f^2 - 3*d*e*f*g + 2*d^2*g^2 - (e^2*f*g - d*e*g^2)*x)/(b^3*e^2*f^3*n^2*log(c) + a*b^2*e^2*f^3*n^2 + (b^3*e^2*g^3*n^2*log(c) + a*b^2*e^2*g^3*n^2)*x^3 + 3*(b^3*e^2*f*g^2*n^2*log(c) + a*b^2*e^2*f*g^2*n^2)*x^2 + 3*(b^3*e^2*f^2*g*n^2*log(c) + a*b^2*e^2*f^2*g*n^2)*x + (b^3*e^2*g^3*n^2*x^3 + 3*b^3*e^2*f*g^2*n^2*x^2 + 3*b^3*e^2*f^2*g*n^2*x + b^3*e^2*f^3*n^2)*log((e*x + d)^n)), x)","F",0
104,0,0,0,0.000000," ","integrate(1/(g*x+f)^2/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""maxima"")","\frac{{\left(a e^{2} g - {\left(e^{2} g n - e^{2} g \log\left(c\right)\right)} b\right)} x^{2} - {\left(d e f - 2 \, d^{2} g\right)} a - {\left(d e f n + {\left(d e f - 2 \, d^{2} g\right)} \log\left(c\right)\right)} b - {\left({\left(e^{2} f - 3 \, d e g\right)} a + {\left(e^{2} f n + d e g n + {\left(e^{2} f - 3 \, d e g\right)} \log\left(c\right)\right)} b\right)} x + {\left(b e^{2} g x^{2} - {\left(e^{2} f - 3 \, d e g\right)} b x - {\left(d e f - 2 \, d^{2} g\right)} b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{2 \, {\left(b^{4} e^{2} f^{3} n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} e^{2} f^{3} n^{2} \log\left(c\right) + a^{2} b^{2} e^{2} f^{3} n^{2} + {\left(b^{4} e^{2} g^{3} n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} e^{2} g^{3} n^{2} \log\left(c\right) + a^{2} b^{2} e^{2} g^{3} n^{2}\right)} x^{3} + 3 \, {\left(b^{4} e^{2} f g^{2} n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} e^{2} f g^{2} n^{2} \log\left(c\right) + a^{2} b^{2} e^{2} f g^{2} n^{2}\right)} x^{2} + {\left(b^{4} e^{2} g^{3} n^{2} x^{3} + 3 \, b^{4} e^{2} f g^{2} n^{2} x^{2} + 3 \, b^{4} e^{2} f^{2} g n^{2} x + b^{4} e^{2} f^{3} n^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 3 \, {\left(b^{4} e^{2} f^{2} g n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} e^{2} f^{2} g n^{2} \log\left(c\right) + a^{2} b^{2} e^{2} f^{2} g n^{2}\right)} x + 2 \, {\left(b^{4} e^{2} f^{3} n^{2} \log\left(c\right) + a b^{3} e^{2} f^{3} n^{2} + {\left(b^{4} e^{2} g^{3} n^{2} \log\left(c\right) + a b^{3} e^{2} g^{3} n^{2}\right)} x^{3} + 3 \, {\left(b^{4} e^{2} f g^{2} n^{2} \log\left(c\right) + a b^{3} e^{2} f g^{2} n^{2}\right)} x^{2} + 3 \, {\left(b^{4} e^{2} f^{2} g n^{2} \log\left(c\right) + a b^{3} e^{2} f^{2} g n^{2}\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)}} + \int \frac{e^{2} g^{2} x^{2} + e^{2} f^{2} - 6 \, d e f g + 6 \, d^{2} g^{2} - 2 \, {\left(2 \, e^{2} f g - 3 \, d e g^{2}\right)} x}{2 \, {\left(b^{3} e^{2} f^{4} n^{2} \log\left(c\right) + a b^{2} e^{2} f^{4} n^{2} + {\left(b^{3} e^{2} g^{4} n^{2} \log\left(c\right) + a b^{2} e^{2} g^{4} n^{2}\right)} x^{4} + 4 \, {\left(b^{3} e^{2} f g^{3} n^{2} \log\left(c\right) + a b^{2} e^{2} f g^{3} n^{2}\right)} x^{3} + 6 \, {\left(b^{3} e^{2} f^{2} g^{2} n^{2} \log\left(c\right) + a b^{2} e^{2} f^{2} g^{2} n^{2}\right)} x^{2} + 4 \, {\left(b^{3} e^{2} f^{3} g n^{2} \log\left(c\right) + a b^{2} e^{2} f^{3} g n^{2}\right)} x + {\left(b^{3} e^{2} g^{4} n^{2} x^{4} + 4 \, b^{3} e^{2} f g^{3} n^{2} x^{3} + 6 \, b^{3} e^{2} f^{2} g^{2} n^{2} x^{2} + 4 \, b^{3} e^{2} f^{3} g n^{2} x + b^{3} e^{2} f^{4} n^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)}}\,{d x}"," ",0,"1/2*((a*e^2*g - (e^2*g*n - e^2*g*log(c))*b)*x^2 - (d*e*f - 2*d^2*g)*a - (d*e*f*n + (d*e*f - 2*d^2*g)*log(c))*b - ((e^2*f - 3*d*e*g)*a + (e^2*f*n + d*e*g*n + (e^2*f - 3*d*e*g)*log(c))*b)*x + (b*e^2*g*x^2 - (e^2*f - 3*d*e*g)*b*x - (d*e*f - 2*d^2*g)*b)*log((e*x + d)^n))/(b^4*e^2*f^3*n^2*log(c)^2 + 2*a*b^3*e^2*f^3*n^2*log(c) + a^2*b^2*e^2*f^3*n^2 + (b^4*e^2*g^3*n^2*log(c)^2 + 2*a*b^3*e^2*g^3*n^2*log(c) + a^2*b^2*e^2*g^3*n^2)*x^3 + 3*(b^4*e^2*f*g^2*n^2*log(c)^2 + 2*a*b^3*e^2*f*g^2*n^2*log(c) + a^2*b^2*e^2*f*g^2*n^2)*x^2 + (b^4*e^2*g^3*n^2*x^3 + 3*b^4*e^2*f*g^2*n^2*x^2 + 3*b^4*e^2*f^2*g*n^2*x + b^4*e^2*f^3*n^2)*log((e*x + d)^n)^2 + 3*(b^4*e^2*f^2*g*n^2*log(c)^2 + 2*a*b^3*e^2*f^2*g*n^2*log(c) + a^2*b^2*e^2*f^2*g*n^2)*x + 2*(b^4*e^2*f^3*n^2*log(c) + a*b^3*e^2*f^3*n^2 + (b^4*e^2*g^3*n^2*log(c) + a*b^3*e^2*g^3*n^2)*x^3 + 3*(b^4*e^2*f*g^2*n^2*log(c) + a*b^3*e^2*f*g^2*n^2)*x^2 + 3*(b^4*e^2*f^2*g*n^2*log(c) + a*b^3*e^2*f^2*g*n^2)*x)*log((e*x + d)^n)) + integrate(1/2*(e^2*g^2*x^2 + e^2*f^2 - 6*d*e*f*g + 6*d^2*g^2 - 2*(2*e^2*f*g - 3*d*e*g^2)*x)/(b^3*e^2*f^4*n^2*log(c) + a*b^2*e^2*f^4*n^2 + (b^3*e^2*g^4*n^2*log(c) + a*b^2*e^2*g^4*n^2)*x^4 + 4*(b^3*e^2*f*g^3*n^2*log(c) + a*b^2*e^2*f*g^3*n^2)*x^3 + 6*(b^3*e^2*f^2*g^2*n^2*log(c) + a*b^2*e^2*f^2*g^2*n^2)*x^2 + 4*(b^3*e^2*f^3*g*n^2*log(c) + a*b^2*e^2*f^3*g*n^2)*x + (b^3*e^2*g^4*n^2*x^4 + 4*b^3*e^2*f*g^3*n^2*x^3 + 6*b^3*e^2*f^2*g^2*n^2*x^2 + 4*b^3*e^2*f^3*g*n^2*x + b^3*e^2*f^4*n^2)*log((e*x + d)^n)), x)","F",0
105,0,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int {\left(g x + f\right)}^{2} \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate((g*x + f)^2*sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
106,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int {\left(g x + f\right)} \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate((g*x + f)*sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
107,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
108,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2)/(g*x+f),x, algorithm=""maxima"")","\int \frac{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}{g x + f}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a)/(g*x + f), x)","F",0
109,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2)/(g*x+f)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a)/(g*x + f)^2, x)","F",0
110,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2)/(g*x+f)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}{{\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a)/(g*x + f)^3, x)","F",0
111,0,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""maxima"")","\int {\left(g x + f\right)}^{2} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((g*x + f)^2*(b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
112,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""maxima"")","\int {\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((g*x + f)*(b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
113,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""maxima"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
114,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(3/2)/(g*x+f),x, algorithm=""maxima"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(3/2)/(g*x + f), x)","F",0
115,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(3/2)/(g*x+f)^2,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(3/2)/(g*x + f)^2, x)","F",0
116,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(3/2)/(g*x+f)^3,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}{{\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(3/2)/(g*x + f)^3, x)","F",0
117,0,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""maxima"")","\int {\left(g x + f\right)}^{2} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((g*x + f)^2*(b*log((e*x + d)^n*c) + a)^(5/2), x)","F",0
118,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""maxima"")","\int {\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((g*x + f)*(b*log((e*x + d)^n*c) + a)^(5/2), x)","F",0
119,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""maxima"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(5/2), x)","F",0
120,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(5/2)/(g*x+f),x, algorithm=""maxima"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(5/2)/(g*x + f), x)","F",0
121,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(5/2)/(g*x+f)^2,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(5/2)/(g*x + f)^2, x)","F",0
122,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(5/2)/(g*x+f)^3,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}{{\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(5/2)/(g*x + f)^3, x)","F",0
123,0,0,0,0.000000," ","integrate((g*x+f)^3/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{3}}{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate((g*x + f)^3/sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
124,0,0,0,0.000000," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{2}}{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate((g*x + f)^2/sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
125,0,0,0,0.000000," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int \frac{g x + f}{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate((g*x + f)/sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
126,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
127,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(g x + f\right)} \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate(1/((g*x + f)*sqrt(b*log((e*x + d)^n*c) + a)), x)","F",0
128,0,0,0,0.000000," ","integrate((g*x+f)^3/(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{3}}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((g*x + f)^3/(b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
129,0,0,0,0.000000," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{2}}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((g*x + f)^2/(b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
130,0,0,0,0.000000," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""maxima"")","\int \frac{g x + f}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((g*x + f)/(b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
131,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(-3/2), x)","F",0
132,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(b*log((e*x + d)^n*c) + a)^(3/2)), x)","F",0
133,0,0,0,0.000000," ","integrate((g*x+f)^3/(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{3}}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((g*x + f)^3/(b*log((e*x + d)^n*c) + a)^(5/2), x)","F",0
134,0,0,0,0.000000," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{2}}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((g*x + f)^2/(b*log((e*x + d)^n*c) + a)^(5/2), x)","F",0
135,0,0,0,0.000000," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""maxima"")","\int \frac{g x + f}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((g*x + f)/(b*log((e*x + d)^n*c) + a)^(5/2), x)","F",0
136,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(-5/2), x)","F",0
137,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(b*log((e*x + d)^n*c) + a)^(5/2)), x)","F",0
138,-2,0,0,0.000000," ","integrate((g*x+f)^(3/2)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
139,-2,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
140,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
141,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
142,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
143,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
144,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^(9/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
145,-2,0,0,0.000000," ","integrate((g*x+f)^(3/2)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
146,-2,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
147,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
148,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
149,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
150,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
151,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^(9/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
152,0,0,0,0.000000," ","integrate((g*x+f)^(3/2)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\frac{2 \, {\left(g^{2} x^{2} + 2 \, f g x + f^{2}\right)} \sqrt{g x + f}}{5 \, {\left(b g \log\left({\left(e x + d\right)}^{n}\right) + b g \log\left(c\right) + a g\right)}} + \int \frac{2 \, {\left(b e g^{2} n x^{2} + 2 \, b e f g n x + b e f^{2} n\right)} \sqrt{g x + f}}{5 \, {\left(b^{2} d g \log\left(c\right)^{2} + 2 \, a b d g \log\left(c\right) + a^{2} d g + {\left(b^{2} e g x + b^{2} d g\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + {\left(b^{2} e g \log\left(c\right)^{2} + 2 \, a b e g \log\left(c\right) + a^{2} e g\right)} x + 2 \, {\left(b^{2} d g \log\left(c\right) + a b d g + {\left(b^{2} e g \log\left(c\right) + a b e g\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)}}\,{d x}"," ",0,"2/5*(g^2*x^2 + 2*f*g*x + f^2)*sqrt(g*x + f)/(b*g*log((e*x + d)^n) + b*g*log(c) + a*g) + integrate(2/5*(b*e*g^2*n*x^2 + 2*b*e*f*g*n*x + b*e*f^2*n)*sqrt(g*x + f)/(b^2*d*g*log(c)^2 + 2*a*b*d*g*log(c) + a^2*d*g + (b^2*e*g*x + b^2*d*g)*log((e*x + d)^n)^2 + (b^2*e*g*log(c)^2 + 2*a*b*e*g*log(c) + a^2*e*g)*x + 2*(b^2*d*g*log(c) + a*b*d*g + (b^2*e*g*log(c) + a*b*e*g)*x)*log((e*x + d)^n)), x)","F",0
153,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\frac{2 \, {\left(g x + f\right)}^{\frac{3}{2}}}{3 \, {\left(b g \log\left({\left(e x + d\right)}^{n}\right) + b g \log\left(c\right) + a g\right)}} + \int \frac{2 \, {\left(b e g n x + b e f n\right)} \sqrt{g x + f}}{3 \, {\left(b^{2} d g \log\left(c\right)^{2} + 2 \, a b d g \log\left(c\right) + a^{2} d g + {\left(b^{2} e g x + b^{2} d g\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + {\left(b^{2} e g \log\left(c\right)^{2} + 2 \, a b e g \log\left(c\right) + a^{2} e g\right)} x + 2 \, {\left(b^{2} d g \log\left(c\right) + a b d g + {\left(b^{2} e g \log\left(c\right) + a b e g\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)}}\,{d x}"," ",0,"2/3*(g*x + f)^(3/2)/(b*g*log((e*x + d)^n) + b*g*log(c) + a*g) + integrate(2/3*(b*e*g*n*x + b*e*f*n)*sqrt(g*x + f)/(b^2*d*g*log(c)^2 + 2*a*b*d*g*log(c) + a^2*d*g + (b^2*e*g*x + b^2*d*g)*log((e*x + d)^n)^2 + (b^2*e*g*log(c)^2 + 2*a*b*e*g*log(c) + a^2*e*g)*x + 2*(b^2*d*g*log(c) + a*b*d*g + (b^2*e*g*log(c) + a*b*e*g)*x)*log((e*x + d)^n)), x)","F",0
154,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))/(g*x+f)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{g x + f}}{b g \log\left({\left(e x + d\right)}^{n}\right) + b g \log\left(c\right) + a g} + \int \frac{2 \, {\left(b e g n x + b e f n\right)}}{{\left(b^{2} d g \log\left(c\right)^{2} + 2 \, a b d g \log\left(c\right) + a^{2} d g + {\left(b^{2} e g x + b^{2} d g\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + {\left(b^{2} e g \log\left(c\right)^{2} + 2 \, a b e g \log\left(c\right) + a^{2} e g\right)} x + 2 \, {\left(b^{2} d g \log\left(c\right) + a b d g + {\left(b^{2} e g \log\left(c\right) + a b e g\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)} \sqrt{g x + f}}\,{d x}"," ",0,"2*sqrt(g*x + f)/(b*g*log((e*x + d)^n) + b*g*log(c) + a*g) + integrate(2*(b*e*g*n*x + b*e*f*n)/((b^2*d*g*log(c)^2 + 2*a*b*d*g*log(c) + a^2*d*g + (b^2*e*g*x + b^2*d*g)*log((e*x + d)^n)^2 + (b^2*e*g*log(c)^2 + 2*a*b*e*g*log(c) + a^2*e*g)*x + 2*(b^2*d*g*log(c) + a*b*d*g + (b^2*e*g*log(c) + a*b*e*g)*x)*log((e*x + d)^n))*sqrt(g*x + f)), x)","F",0
155,0,0,0,0.000000," ","integrate(1/(g*x+f)^(3/2)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","-2 \, b e n \int \frac{1}{{\left(b^{2} d g \log\left(c\right)^{2} + 2 \, a b d g \log\left(c\right) + a^{2} d g + {\left(b^{2} e g x + b^{2} d g\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + {\left(b^{2} e g \log\left(c\right)^{2} + 2 \, a b e g \log\left(c\right) + a^{2} e g\right)} x + 2 \, {\left(b^{2} d g \log\left(c\right) + a b d g + {\left(b^{2} e g \log\left(c\right) + a b e g\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)} \sqrt{g x + f}}\,{d x} - \frac{2}{{\left(b g \log\left({\left(e x + d\right)}^{n}\right) + b g \log\left(c\right) + a g\right)} \sqrt{g x + f}}"," ",0,"-2*b*e*n*integrate(1/((b^2*d*g*log(c)^2 + 2*a*b*d*g*log(c) + a^2*d*g + (b^2*e*g*x + b^2*d*g)*log((e*x + d)^n)^2 + (b^2*e*g*log(c)^2 + 2*a*b*e*g*log(c) + a^2*e*g)*x + 2*(b^2*d*g*log(c) + a*b*d*g + (b^2*e*g*log(c) + a*b*e*g)*x)*log((e*x + d)^n))*sqrt(g*x + f)), x) - 2/((b*g*log((e*x + d)^n) + b*g*log(c) + a*g)*sqrt(g*x + f))","F",0
156,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int \sqrt{g x + f} \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate(sqrt(g*x + f)*sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
157,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}{\sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a)/sqrt(g*x + f), x)","F",0
158,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2)/(g*x+f)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}{{\left(g x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a)/(g*x + f)^(3/2), x)","F",0
159,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{g x + f}}{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate(sqrt(g*x + f)/sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
160,0,0,0,0.000000," ","integrate(1/(g*x+f)^(1/2)/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{g x + f} \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate(1/(sqrt(g*x + f)*sqrt(b*log((e*x + d)^n*c) + a)), x)","F",0
161,0,0,0,0.000000," ","integrate(1/(g*x+f)^(3/2)/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(g x + f\right)}^{\frac{3}{2}} \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate(1/((g*x + f)^(3/2)*sqrt(b*log((e*x + d)^n*c) + a)), x)","F",0
162,0,0,0,0.000000," ","integrate((g*x+f)^m*(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","b {\left(\frac{{\left(g x + f\right)} {\left(g x + f\right)}^{m} \log\left({\left(e x + d\right)}^{n}\right)}{g {\left(m + 1\right)}} + \int \frac{{\left(d g {\left(m + 1\right)} \log\left(c\right) - e f n + {\left(e g {\left(m + 1\right)} \log\left(c\right) - e g n\right)} x\right)} {\left(g x + f\right)}^{m}}{e g {\left(m + 1\right)} x + d g {\left(m + 1\right)}}\,{d x}\right)} + \frac{{\left(g x + f\right)}^{m + 1} a}{g {\left(m + 1\right)}}"," ",0,"b*((g*x + f)*(g*x + f)^m*log((e*x + d)^n)/(g*(m + 1)) + integrate((d*g*(m + 1)*log(c) - e*f*n + (e*g*(m + 1)*log(c) - e*g*n)*x)*(g*x + f)^m/(e*g*(m + 1)*x + d*g*(m + 1)), x)) + (g*x + f)^(m + 1)*a/(g*(m + 1))","F",0
163,0,0,0,0.000000," ","integrate((g*x+f)^m/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{m}}{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate((g*x + f)^m/(b*log((e*x + d)^n*c) + a), x)","F",0
164,0,0,0,0.000000," ","integrate((g*x+f)^m/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-\frac{{\left(e x + d\right)} {\left(g x + f\right)}^{m}}{b^{2} e n \log\left({\left(e x + d\right)}^{n}\right) + b^{2} e n \log\left(c\right) + a b e n} + \int \frac{{\left(e g {\left(m + 1\right)} x + d g m + e f\right)} {\left(g x + f\right)}^{m}}{b^{2} e f n \log\left(c\right) + a b e f n + {\left(b^{2} e g n \log\left(c\right) + a b e g n\right)} x + {\left(b^{2} e g n x + b^{2} e f n\right)} \log\left({\left(e x + d\right)}^{n}\right)}\,{d x}"," ",0,"-(e*x + d)*(g*x + f)^m/(b^2*e*n*log((e*x + d)^n) + b^2*e*n*log(c) + a*b*e*n) + integrate((e*g*(m + 1)*x + d*g*m + e*f)*(g*x + f)^m/(b^2*e*f*n*log(c) + a*b*e*f*n + (b^2*e*g*n*log(c) + a*b*e*g*n)*x + (b^2*e*g*n*x + b^2*e*f*n)*log((e*x + d)^n)), x)","F",0
165,0,0,0,0.000000," ","integrate((g*x+f)^m*(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""maxima"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{m}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(3/2)*(g*x + f)^m, x)","F",0
166,0,0,0,0.000000," ","integrate((g*x+f)^m*(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a} {\left(g x + f\right)}^{m}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a)*(g*x + f)^m, x)","F",0
167,0,0,0,0.000000," ","integrate((g*x+f)^m/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{m}}{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate((g*x + f)^m/sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
168,0,0,0,0.000000," ","integrate((g*x+f)^m/(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(g x + f\right)}^{m}}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((g*x + f)^m/(b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
169,-2,0,0,0.000000," ","integrate((g*x+f)^m*(a+b*log(c*(e*x+d)^n))^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
170,-2,0,0,0.000000," ","integrate((g*x+f)^3*(a+b*log(c*(e*x+d)^n))^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
171,-2,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
172,-2,0,0,0.000000," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
173,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
174,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^n/(g*x+f),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
175,1,757,0,0.622808," ","integrate((i*x+h)^4*(a+b*log(c*(f*x+e)))/(d*f*x+d*e),x, algorithm=""maxima"")","4 \, b h^{3} i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} \log\left(c f x + c e\right) + \frac{1}{12} \, b i^{4} {\left(\frac{12 \, e^{4} \log\left(f x + e\right)}{d f^{5}} + \frac{3 \, f^{3} x^{4} - 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2} - 12 \, e^{3} x}{d f^{4}}\right)} \log\left(c f x + c e\right) - \frac{2}{3} \, b h i^{3} {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{d f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{d f^{3}}\right)} \log\left(c f x + c e\right) + 3 \, b h^{2} i^{2} {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{d f^{3}} + \frac{f x^{2} - 2 \, e x}{d f^{2}}\right)} \log\left(c f x + c e\right) - \frac{1}{2} \, b h^{4} {\left(\frac{2 \, \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} - \frac{\log\left(f x + e\right)^{2} + 2 \, \log\left(f x + e\right) \log\left(c\right)}{d f}\right)} + 4 \, a h^{3} i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} + \frac{1}{12} \, a i^{4} {\left(\frac{12 \, e^{4} \log\left(f x + e\right)}{d f^{5}} + \frac{3 \, f^{3} x^{4} - 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2} - 12 \, e^{3} x}{d f^{4}}\right)} - \frac{2}{3} \, a h i^{3} {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{d f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{d f^{3}}\right)} + 3 \, a h^{2} i^{2} {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{d f^{3}} + \frac{f x^{2} - 2 \, e x}{d f^{2}}\right)} + \frac{b h^{4} \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} + \frac{a h^{4} \log\left(d f x + d e\right)}{d f} + \frac{2 \, {\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} b h^{3} i}{d f^{2}} - \frac{3 \, {\left(f^{2} x^{2} + 2 \, e^{2} \log\left(f x + e\right)^{2} - 6 \, e f x + 6 \, e^{2} \log\left(f x + e\right)\right)} b h^{2} i^{2}}{2 \, d f^{3}} - \frac{{\left(4 \, f^{3} x^{3} - 15 \, e f^{2} x^{2} - 18 \, e^{3} \log\left(f x + e\right)^{2} + 66 \, e^{2} f x - 66 \, e^{3} \log\left(f x + e\right)\right)} b h i^{3}}{9 \, d f^{4}} - \frac{{\left(9 \, f^{4} x^{4} - 28 \, e f^{3} x^{3} + 78 \, e^{2} f^{2} x^{2} + 72 \, e^{4} \log\left(f x + e\right)^{2} - 300 \, e^{3} f x + 300 \, e^{4} \log\left(f x + e\right)\right)} b i^{4}}{144 \, d f^{5}}"," ",0,"4*b*h^3*i*(x/(d*f) - e*log(f*x + e)/(d*f^2))*log(c*f*x + c*e) + 1/12*b*i^4*(12*e^4*log(f*x + e)/(d*f^5) + (3*f^3*x^4 - 4*e*f^2*x^3 + 6*e^2*f*x^2 - 12*e^3*x)/(d*f^4))*log(c*f*x + c*e) - 2/3*b*h*i^3*(6*e^3*log(f*x + e)/(d*f^4) - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/(d*f^3))*log(c*f*x + c*e) + 3*b*h^2*i^2*(2*e^2*log(f*x + e)/(d*f^3) + (f*x^2 - 2*e*x)/(d*f^2))*log(c*f*x + c*e) - 1/2*b*h^4*(2*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) - (log(f*x + e)^2 + 2*log(f*x + e)*log(c))/(d*f)) + 4*a*h^3*i*(x/(d*f) - e*log(f*x + e)/(d*f^2)) + 1/12*a*i^4*(12*e^4*log(f*x + e)/(d*f^5) + (3*f^3*x^4 - 4*e*f^2*x^3 + 6*e^2*f*x^2 - 12*e^3*x)/(d*f^4)) - 2/3*a*h*i^3*(6*e^3*log(f*x + e)/(d*f^4) - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/(d*f^3)) + 3*a*h^2*i^2*(2*e^2*log(f*x + e)/(d*f^3) + (f*x^2 - 2*e*x)/(d*f^2)) + b*h^4*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) + a*h^4*log(d*f*x + d*e)/(d*f) + 2*(e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*b*h^3*i/(d*f^2) - 3/2*(f^2*x^2 + 2*e^2*log(f*x + e)^2 - 6*e*f*x + 6*e^2*log(f*x + e))*b*h^2*i^2/(d*f^3) - 1/9*(4*f^3*x^3 - 15*e*f^2*x^2 - 18*e^3*log(f*x + e)^2 + 66*e^2*f*x - 66*e^3*log(f*x + e))*b*h*i^3/(d*f^4) - 1/144*(9*f^4*x^4 - 28*e*f^3*x^3 + 78*e^2*f^2*x^2 + 72*e^4*log(f*x + e)^2 - 300*e^3*f*x + 300*e^4*log(f*x + e))*b*i^4/(d*f^5)","B",0
176,1,539,0,0.565500," ","integrate((i*x+h)^3*(a+b*log(c*(f*x+e)))/(d*f*x+d*e),x, algorithm=""maxima"")","3 \, b h^{2} i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} \log\left(c f x + c e\right) - \frac{1}{6} \, b i^{3} {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{d f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{d f^{3}}\right)} \log\left(c f x + c e\right) + \frac{3}{2} \, b h i^{2} {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{d f^{3}} + \frac{f x^{2} - 2 \, e x}{d f^{2}}\right)} \log\left(c f x + c e\right) - \frac{1}{2} \, b h^{3} {\left(\frac{2 \, \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} - \frac{\log\left(f x + e\right)^{2} + 2 \, \log\left(f x + e\right) \log\left(c\right)}{d f}\right)} + 3 \, a h^{2} i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} - \frac{1}{6} \, a i^{3} {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{d f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{d f^{3}}\right)} + \frac{3}{2} \, a h i^{2} {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{d f^{3}} + \frac{f x^{2} - 2 \, e x}{d f^{2}}\right)} + \frac{b h^{3} \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} + \frac{a h^{3} \log\left(d f x + d e\right)}{d f} + \frac{3 \, {\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} b h^{2} i}{2 \, d f^{2}} - \frac{3 \, {\left(f^{2} x^{2} + 2 \, e^{2} \log\left(f x + e\right)^{2} - 6 \, e f x + 6 \, e^{2} \log\left(f x + e\right)\right)} b h i^{2}}{4 \, d f^{3}} - \frac{{\left(4 \, f^{3} x^{3} - 15 \, e f^{2} x^{2} - 18 \, e^{3} \log\left(f x + e\right)^{2} + 66 \, e^{2} f x - 66 \, e^{3} \log\left(f x + e\right)\right)} b i^{3}}{36 \, d f^{4}}"," ",0,"3*b*h^2*i*(x/(d*f) - e*log(f*x + e)/(d*f^2))*log(c*f*x + c*e) - 1/6*b*i^3*(6*e^3*log(f*x + e)/(d*f^4) - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/(d*f^3))*log(c*f*x + c*e) + 3/2*b*h*i^2*(2*e^2*log(f*x + e)/(d*f^3) + (f*x^2 - 2*e*x)/(d*f^2))*log(c*f*x + c*e) - 1/2*b*h^3*(2*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) - (log(f*x + e)^2 + 2*log(f*x + e)*log(c))/(d*f)) + 3*a*h^2*i*(x/(d*f) - e*log(f*x + e)/(d*f^2)) - 1/6*a*i^3*(6*e^3*log(f*x + e)/(d*f^4) - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/(d*f^3)) + 3/2*a*h*i^2*(2*e^2*log(f*x + e)/(d*f^3) + (f*x^2 - 2*e*x)/(d*f^2)) + b*h^3*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) + a*h^3*log(d*f*x + d*e)/(d*f) + 3/2*(e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*b*h^2*i/(d*f^2) - 3/4*(f^2*x^2 + 2*e^2*log(f*x + e)^2 - 6*e*f*x + 6*e^2*log(f*x + e))*b*h*i^2/(d*f^3) - 1/36*(4*f^3*x^3 - 15*e*f^2*x^2 - 18*e^3*log(f*x + e)^2 + 66*e^2*f*x - 66*e^3*log(f*x + e))*b*i^3/(d*f^4)","B",0
177,1,351,0,0.530188," ","integrate((i*x+h)^2*(a+b*log(c*(f*x+e)))/(d*f*x+d*e),x, algorithm=""maxima"")","2 \, b h i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} \log\left(c f x + c e\right) + \frac{1}{2} \, b i^{2} {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{d f^{3}} + \frac{f x^{2} - 2 \, e x}{d f^{2}}\right)} \log\left(c f x + c e\right) - \frac{1}{2} \, b h^{2} {\left(\frac{2 \, \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} - \frac{\log\left(f x + e\right)^{2} + 2 \, \log\left(f x + e\right) \log\left(c\right)}{d f}\right)} + 2 \, a h i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} + \frac{1}{2} \, a i^{2} {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{d f^{3}} + \frac{f x^{2} - 2 \, e x}{d f^{2}}\right)} + \frac{b h^{2} \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} + \frac{a h^{2} \log\left(d f x + d e\right)}{d f} + \frac{{\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} b h i}{d f^{2}} - \frac{{\left(f^{2} x^{2} + 2 \, e^{2} \log\left(f x + e\right)^{2} - 6 \, e f x + 6 \, e^{2} \log\left(f x + e\right)\right)} b i^{2}}{4 \, d f^{3}}"," ",0,"2*b*h*i*(x/(d*f) - e*log(f*x + e)/(d*f^2))*log(c*f*x + c*e) + 1/2*b*i^2*(2*e^2*log(f*x + e)/(d*f^3) + (f*x^2 - 2*e*x)/(d*f^2))*log(c*f*x + c*e) - 1/2*b*h^2*(2*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) - (log(f*x + e)^2 + 2*log(f*x + e)*log(c))/(d*f)) + 2*a*h*i*(x/(d*f) - e*log(f*x + e)/(d*f^2)) + 1/2*a*i^2*(2*e^2*log(f*x + e)/(d*f^3) + (f*x^2 - 2*e*x)/(d*f^2)) + b*h^2*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) + a*h^2*log(d*f*x + d*e)/(d*f) + (e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*b*h*i/(d*f^2) - 1/4*(f^2*x^2 + 2*e^2*log(f*x + e)^2 - 6*e*f*x + 6*e^2*log(f*x + e))*b*i^2/(d*f^3)","B",0
178,1,201,0,0.524388," ","integrate((i*x+h)*(a+b*log(c*(f*x+e)))/(d*f*x+d*e),x, algorithm=""maxima"")","b i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} \log\left(c f x + c e\right) - \frac{1}{2} \, b h {\left(\frac{2 \, \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} - \frac{\log\left(f x + e\right)^{2} + 2 \, \log\left(f x + e\right) \log\left(c\right)}{d f}\right)} + a i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} + \frac{b h \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} + \frac{a h \log\left(d f x + d e\right)}{d f} + \frac{{\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} b i}{2 \, d f^{2}}"," ",0,"b*i*(x/(d*f) - e*log(f*x + e)/(d*f^2))*log(c*f*x + c*e) - 1/2*b*h*(2*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) - (log(f*x + e)^2 + 2*log(f*x + e)*log(c))/(d*f)) + a*i*(x/(d*f) - e*log(f*x + e)/(d*f^2)) + b*h*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) + a*h*log(d*f*x + d*e)/(d*f) + 1/2*(e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*b*i/(d*f^2)","B",0
179,1,101,0,0.518540," ","integrate((a+b*log(c*(f*x+e)))/(d*f*x+d*e),x, algorithm=""maxima"")","-\frac{1}{2} \, b {\left(\frac{2 \, \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} - \frac{\log\left(f x + e\right)^{2} + 2 \, \log\left(f x + e\right) \log\left(c\right)}{d f}\right)} + \frac{b \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} + \frac{a \log\left(d f x + d e\right)}{d f}"," ",0,"-1/2*b*(2*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) - (log(f*x + e)^2 + 2*log(f*x + e)*log(c))/(d*f)) + b*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) + a*log(d*f*x + d*e)/(d*f)","B",0
180,0,0,0,0.000000," ","integrate((a+b*log(c*(f*x+e)))/(d*f*x+d*e)/(i*x+h),x, algorithm=""maxima"")","a {\left(\frac{\log\left(f x + e\right)}{d f h - d e i} - \frac{\log\left(i x + h\right)}{d f h - d e i}\right)} + b \int \frac{\log\left(f x + e\right) + \log\left(c\right)}{d f i x^{2} + d e h + {\left(f h + e i\right)} d x}\,{d x}"," ",0,"a*(log(f*x + e)/(d*f*h - d*e*i) - log(i*x + h)/(d*f*h - d*e*i)) + b*integrate((log(f*x + e) + log(c))/(d*f*i*x^2 + d*e*h + (f*h + e*i)*d*x), x)","F",0
181,0,0,0,0.000000," ","integrate((a+b*log(c*(f*x+e)))/(d*f*x+d*e)/(i*x+h)^2,x, algorithm=""maxima"")","a {\left(\frac{f \log\left(f x + e\right)}{d f^{2} h^{2} - 2 \, d e f h i + d e^{2} i^{2}} - \frac{f \log\left(i x + h\right)}{d f^{2} h^{2} - 2 \, d e f h i + d e^{2} i^{2}} + \frac{1}{d f h^{2} - d e h i + {\left(d f h i - d e i^{2}\right)} x}\right)} + b \int \frac{\log\left(f x + e\right) + \log\left(c\right)}{d f i^{2} x^{3} + d e h^{2} + {\left(2 \, f h i + e i^{2}\right)} d x^{2} + {\left(f h^{2} + 2 \, e h i\right)} d x}\,{d x}"," ",0,"a*(f*log(f*x + e)/(d*f^2*h^2 - 2*d*e*f*h*i + d*e^2*i^2) - f*log(i*x + h)/(d*f^2*h^2 - 2*d*e*f*h*i + d*e^2*i^2) + 1/(d*f*h^2 - d*e*h*i + (d*f*h*i - d*e*i^2)*x)) + b*integrate((log(f*x + e) + log(c))/(d*f*i^2*x^3 + d*e*h^2 + (2*f*h*i + e*i^2)*d*x^2 + (f*h^2 + 2*e*h*i)*d*x), x)","F",0
182,0,0,0,0.000000," ","integrate((a+b*log(c*(f*x+e)))/(d*f*x+d*e)/(i*x+h)^3,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{2 \, f^{2} \log\left(f x + e\right)}{d f^{3} h^{3} - 3 \, d e f^{2} h^{2} i + 3 \, d e^{2} f h i^{2} - d e^{3} i^{3}} - \frac{2 \, f^{2} \log\left(i x + h\right)}{d f^{3} h^{3} - 3 \, d e f^{2} h^{2} i + 3 \, d e^{2} f h i^{2} - d e^{3} i^{3}} + \frac{2 \, f i x + 3 \, f h - e i}{d f^{2} h^{4} - 2 \, d e f h^{3} i + d e^{2} h^{2} i^{2} + {\left(d f^{2} h^{2} i^{2} - 2 \, d e f h i^{3} + d e^{2} i^{4}\right)} x^{2} + 2 \, {\left(d f^{2} h^{3} i - 2 \, d e f h^{2} i^{2} + d e^{2} h i^{3}\right)} x}\right)} a + b \int \frac{\log\left(f x + e\right) + \log\left(c\right)}{d f i^{3} x^{4} + d e h^{3} + {\left(3 \, f h i^{2} + e i^{3}\right)} d x^{3} + 3 \, {\left(f h^{2} i + e h i^{2}\right)} d x^{2} + {\left(f h^{3} + 3 \, e h^{2} i\right)} d x}\,{d x}"," ",0,"1/2*(2*f^2*log(f*x + e)/(d*f^3*h^3 - 3*d*e*f^2*h^2*i + 3*d*e^2*f*h*i^2 - d*e^3*i^3) - 2*f^2*log(i*x + h)/(d*f^3*h^3 - 3*d*e*f^2*h^2*i + 3*d*e^2*f*h*i^2 - d*e^3*i^3) + (2*f*i*x + 3*f*h - e*i)/(d*f^2*h^4 - 2*d*e*f*h^3*i + d*e^2*h^2*i^2 + (d*f^2*h^2*i^2 - 2*d*e*f*h*i^3 + d*e^2*i^4)*x^2 + 2*(d*f^2*h^3*i - 2*d*e*f*h^2*i^2 + d*e^2*h*i^3)*x))*a + b*integrate((log(f*x + e) + log(c))/(d*f*i^3*x^4 + d*e*h^3 + (3*f*h*i^2 + e*i^3)*d*x^3 + 3*(f*h^2*i + e*h*i^2)*d*x^2 + (f*h^3 + 3*e*h^2*i)*d*x), x)","F",0
183,1,1427,0,0.716800," ","integrate((i*x+h)^4*(a+b*log(c*(f*x+e)))^2/(d*f*x+d*e),x, algorithm=""maxima"")","8 \, a b h^{3} i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} \log\left(c f x + c e\right) + \frac{1}{6} \, a b i^{4} {\left(\frac{12 \, e^{4} \log\left(f x + e\right)}{d f^{5}} + \frac{3 \, f^{3} x^{4} - 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2} - 12 \, e^{3} x}{d f^{4}}\right)} \log\left(c f x + c e\right) - \frac{4}{3} \, a b h i^{3} {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{d f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{d f^{3}}\right)} \log\left(c f x + c e\right) + 6 \, a b h^{2} i^{2} {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{d f^{3}} + \frac{f x^{2} - 2 \, e x}{d f^{2}}\right)} \log\left(c f x + c e\right) - a b h^{4} {\left(\frac{2 \, \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} - \frac{\log\left(f x + e\right)^{2} + 2 \, \log\left(f x + e\right) \log\left(c\right)}{d f}\right)} + 4 \, a^{2} h^{3} i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} + \frac{1}{12} \, a^{2} i^{4} {\left(\frac{12 \, e^{4} \log\left(f x + e\right)}{d f^{5}} + \frac{3 \, f^{3} x^{4} - 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2} - 12 \, e^{3} x}{d f^{4}}\right)} - \frac{2}{3} \, a^{2} h i^{3} {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{d f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{d f^{3}}\right)} + 3 \, a^{2} h^{2} i^{2} {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{d f^{3}} + \frac{f x^{2} - 2 \, e x}{d f^{2}}\right)} + \frac{b^{2} h^{4} \log\left(c f x + c e\right)^{3}}{3 \, d f} + \frac{2 \, a b h^{4} \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} + \frac{a^{2} h^{4} \log\left(d f x + d e\right)}{d f} + \frac{4 \, {\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} a b h^{3} i}{d f^{2}} - \frac{3 \, {\left(f^{2} x^{2} + 2 \, e^{2} \log\left(f x + e\right)^{2} - 6 \, e f x + 6 \, e^{2} \log\left(f x + e\right)\right)} a b h^{2} i^{2}}{d f^{3}} - \frac{4 \, {\left(c^{2} e \log\left(c f x + c e\right)^{3} - 3 \, {\left(c f x + c e\right)} {\left(c \log\left(c f x + c e\right)^{2} - 2 \, c \log\left(c f x + c e\right) + 2 \, c\right)}\right)} b^{2} h^{3} i}{3 \, c^{2} d f^{2}} - \frac{2 \, {\left(4 \, f^{3} x^{3} - 15 \, e f^{2} x^{2} - 18 \, e^{3} \log\left(f x + e\right)^{2} + 66 \, e^{2} f x - 66 \, e^{3} \log\left(f x + e\right)\right)} a b h i^{3}}{9 \, d f^{4}} - \frac{{\left(9 \, f^{4} x^{4} - 28 \, e f^{3} x^{3} + 78 \, e^{2} f^{2} x^{2} + 72 \, e^{4} \log\left(f x + e\right)^{2} - 300 \, e^{3} f x + 300 \, e^{4} \log\left(f x + e\right)\right)} a b i^{4}}{72 \, d f^{5}} + \frac{{\left(4 \, c^{3} e^{2} \log\left(c f x + c e\right)^{3} + 3 \, {\left(c f x + c e\right)}^{2} {\left(2 \, c \log\left(c f x + c e\right)^{2} - 2 \, c \log\left(c f x + c e\right) + c\right)} - 24 \, {\left(c^{2} e \log\left(c f x + c e\right)^{2} - 2 \, c^{2} e \log\left(c f x + c e\right) + 2 \, c^{2} e\right)} {\left(c f x + c e\right)}\right)} b^{2} h^{2} i^{2}}{2 \, c^{3} d f^{3}} - \frac{{\left(36 \, c^{4} e^{3} \log\left(c f x + c e\right)^{3} - 4 \, {\left(c f x + c e\right)}^{3} {\left(9 \, c \log\left(c f x + c e\right)^{2} - 6 \, c \log\left(c f x + c e\right) + 2 \, c\right)} + 81 \, {\left(2 \, c^{2} e \log\left(c f x + c e\right)^{2} - 2 \, c^{2} e \log\left(c f x + c e\right) + c^{2} e\right)} {\left(c f x + c e\right)}^{2} - 324 \, {\left(c^{3} e^{2} \log\left(c f x + c e\right)^{2} - 2 \, c^{3} e^{2} \log\left(c f x + c e\right) + 2 \, c^{3} e^{2}\right)} {\left(c f x + c e\right)}\right)} b^{2} h i^{3}}{27 \, c^{4} d f^{4}} + \frac{{\left(288 \, c^{5} e^{4} \log\left(c f x + c e\right)^{3} + 27 \, {\left(c f x + c e\right)}^{4} {\left(8 \, c \log\left(c f x + c e\right)^{2} - 4 \, c \log\left(c f x + c e\right) + c\right)} - 128 \, {\left(9 \, c^{2} e \log\left(c f x + c e\right)^{2} - 6 \, c^{2} e \log\left(c f x + c e\right) + 2 \, c^{2} e\right)} {\left(c f x + c e\right)}^{3} + 1296 \, {\left(2 \, c^{3} e^{2} \log\left(c f x + c e\right)^{2} - 2 \, c^{3} e^{2} \log\left(c f x + c e\right) + c^{3} e^{2}\right)} {\left(c f x + c e\right)}^{2} - 3456 \, {\left(c^{4} e^{3} \log\left(c f x + c e\right)^{2} - 2 \, c^{4} e^{3} \log\left(c f x + c e\right) + 2 \, c^{4} e^{3}\right)} {\left(c f x + c e\right)}\right)} b^{2} i^{4}}{864 \, c^{5} d f^{5}}"," ",0,"8*a*b*h^3*i*(x/(d*f) - e*log(f*x + e)/(d*f^2))*log(c*f*x + c*e) + 1/6*a*b*i^4*(12*e^4*log(f*x + e)/(d*f^5) + (3*f^3*x^4 - 4*e*f^2*x^3 + 6*e^2*f*x^2 - 12*e^3*x)/(d*f^4))*log(c*f*x + c*e) - 4/3*a*b*h*i^3*(6*e^3*log(f*x + e)/(d*f^4) - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/(d*f^3))*log(c*f*x + c*e) + 6*a*b*h^2*i^2*(2*e^2*log(f*x + e)/(d*f^3) + (f*x^2 - 2*e*x)/(d*f^2))*log(c*f*x + c*e) - a*b*h^4*(2*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) - (log(f*x + e)^2 + 2*log(f*x + e)*log(c))/(d*f)) + 4*a^2*h^3*i*(x/(d*f) - e*log(f*x + e)/(d*f^2)) + 1/12*a^2*i^4*(12*e^4*log(f*x + e)/(d*f^5) + (3*f^3*x^4 - 4*e*f^2*x^3 + 6*e^2*f*x^2 - 12*e^3*x)/(d*f^4)) - 2/3*a^2*h*i^3*(6*e^3*log(f*x + e)/(d*f^4) - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/(d*f^3)) + 3*a^2*h^2*i^2*(2*e^2*log(f*x + e)/(d*f^3) + (f*x^2 - 2*e*x)/(d*f^2)) + 1/3*b^2*h^4*log(c*f*x + c*e)^3/(d*f) + 2*a*b*h^4*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) + a^2*h^4*log(d*f*x + d*e)/(d*f) + 4*(e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*a*b*h^3*i/(d*f^2) - 3*(f^2*x^2 + 2*e^2*log(f*x + e)^2 - 6*e*f*x + 6*e^2*log(f*x + e))*a*b*h^2*i^2/(d*f^3) - 4/3*(c^2*e*log(c*f*x + c*e)^3 - 3*(c*f*x + c*e)*(c*log(c*f*x + c*e)^2 - 2*c*log(c*f*x + c*e) + 2*c))*b^2*h^3*i/(c^2*d*f^2) - 2/9*(4*f^3*x^3 - 15*e*f^2*x^2 - 18*e^3*log(f*x + e)^2 + 66*e^2*f*x - 66*e^3*log(f*x + e))*a*b*h*i^3/(d*f^4) - 1/72*(9*f^4*x^4 - 28*e*f^3*x^3 + 78*e^2*f^2*x^2 + 72*e^4*log(f*x + e)^2 - 300*e^3*f*x + 300*e^4*log(f*x + e))*a*b*i^4/(d*f^5) + 1/2*(4*c^3*e^2*log(c*f*x + c*e)^3 + 3*(c*f*x + c*e)^2*(2*c*log(c*f*x + c*e)^2 - 2*c*log(c*f*x + c*e) + c) - 24*(c^2*e*log(c*f*x + c*e)^2 - 2*c^2*e*log(c*f*x + c*e) + 2*c^2*e)*(c*f*x + c*e))*b^2*h^2*i^2/(c^3*d*f^3) - 1/27*(36*c^4*e^3*log(c*f*x + c*e)^3 - 4*(c*f*x + c*e)^3*(9*c*log(c*f*x + c*e)^2 - 6*c*log(c*f*x + c*e) + 2*c) + 81*(2*c^2*e*log(c*f*x + c*e)^2 - 2*c^2*e*log(c*f*x + c*e) + c^2*e)*(c*f*x + c*e)^2 - 324*(c^3*e^2*log(c*f*x + c*e)^2 - 2*c^3*e^2*log(c*f*x + c*e) + 2*c^3*e^2)*(c*f*x + c*e))*b^2*h*i^3/(c^4*d*f^4) + 1/864*(288*c^5*e^4*log(c*f*x + c*e)^3 + 27*(c*f*x + c*e)^4*(8*c*log(c*f*x + c*e)^2 - 4*c*log(c*f*x + c*e) + c) - 128*(9*c^2*e*log(c*f*x + c*e)^2 - 6*c^2*e*log(c*f*x + c*e) + 2*c^2*e)*(c*f*x + c*e)^3 + 1296*(2*c^3*e^2*log(c*f*x + c*e)^2 - 2*c^3*e^2*log(c*f*x + c*e) + c^3*e^2)*(c*f*x + c*e)^2 - 3456*(c^4*e^3*log(c*f*x + c*e)^2 - 2*c^4*e^3*log(c*f*x + c*e) + 2*c^4*e^3)*(c*f*x + c*e))*b^2*i^4/(c^5*d*f^5)","B",0
184,1,964,0,0.682665," ","integrate((i*x+h)^3*(a+b*log(c*(f*x+e)))^2/(d*f*x+d*e),x, algorithm=""maxima"")","6 \, a b h^{2} i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} \log\left(c f x + c e\right) - \frac{1}{3} \, a b i^{3} {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{d f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{d f^{3}}\right)} \log\left(c f x + c e\right) + 3 \, a b h i^{2} {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{d f^{3}} + \frac{f x^{2} - 2 \, e x}{d f^{2}}\right)} \log\left(c f x + c e\right) - a b h^{3} {\left(\frac{2 \, \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} - \frac{\log\left(f x + e\right)^{2} + 2 \, \log\left(f x + e\right) \log\left(c\right)}{d f}\right)} + 3 \, a^{2} h^{2} i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} - \frac{1}{6} \, a^{2} i^{3} {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{d f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{d f^{3}}\right)} + \frac{3}{2} \, a^{2} h i^{2} {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{d f^{3}} + \frac{f x^{2} - 2 \, e x}{d f^{2}}\right)} + \frac{b^{2} h^{3} \log\left(c f x + c e\right)^{3}}{3 \, d f} + \frac{2 \, a b h^{3} \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} + \frac{a^{2} h^{3} \log\left(d f x + d e\right)}{d f} + \frac{3 \, {\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} a b h^{2} i}{d f^{2}} - \frac{3 \, {\left(f^{2} x^{2} + 2 \, e^{2} \log\left(f x + e\right)^{2} - 6 \, e f x + 6 \, e^{2} \log\left(f x + e\right)\right)} a b h i^{2}}{2 \, d f^{3}} - \frac{{\left(c^{2} e \log\left(c f x + c e\right)^{3} - 3 \, {\left(c f x + c e\right)} {\left(c \log\left(c f x + c e\right)^{2} - 2 \, c \log\left(c f x + c e\right) + 2 \, c\right)}\right)} b^{2} h^{2} i}{c^{2} d f^{2}} - \frac{{\left(4 \, f^{3} x^{3} - 15 \, e f^{2} x^{2} - 18 \, e^{3} \log\left(f x + e\right)^{2} + 66 \, e^{2} f x - 66 \, e^{3} \log\left(f x + e\right)\right)} a b i^{3}}{18 \, d f^{4}} + \frac{{\left(4 \, c^{3} e^{2} \log\left(c f x + c e\right)^{3} + 3 \, {\left(c f x + c e\right)}^{2} {\left(2 \, c \log\left(c f x + c e\right)^{2} - 2 \, c \log\left(c f x + c e\right) + c\right)} - 24 \, {\left(c^{2} e \log\left(c f x + c e\right)^{2} - 2 \, c^{2} e \log\left(c f x + c e\right) + 2 \, c^{2} e\right)} {\left(c f x + c e\right)}\right)} b^{2} h i^{2}}{4 \, c^{3} d f^{3}} - \frac{{\left(36 \, c^{4} e^{3} \log\left(c f x + c e\right)^{3} - 4 \, {\left(c f x + c e\right)}^{3} {\left(9 \, c \log\left(c f x + c e\right)^{2} - 6 \, c \log\left(c f x + c e\right) + 2 \, c\right)} + 81 \, {\left(2 \, c^{2} e \log\left(c f x + c e\right)^{2} - 2 \, c^{2} e \log\left(c f x + c e\right) + c^{2} e\right)} {\left(c f x + c e\right)}^{2} - 324 \, {\left(c^{3} e^{2} \log\left(c f x + c e\right)^{2} - 2 \, c^{3} e^{2} \log\left(c f x + c e\right) + 2 \, c^{3} e^{2}\right)} {\left(c f x + c e\right)}\right)} b^{2} i^{3}}{108 \, c^{4} d f^{4}}"," ",0,"6*a*b*h^2*i*(x/(d*f) - e*log(f*x + e)/(d*f^2))*log(c*f*x + c*e) - 1/3*a*b*i^3*(6*e^3*log(f*x + e)/(d*f^4) - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/(d*f^3))*log(c*f*x + c*e) + 3*a*b*h*i^2*(2*e^2*log(f*x + e)/(d*f^3) + (f*x^2 - 2*e*x)/(d*f^2))*log(c*f*x + c*e) - a*b*h^3*(2*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) - (log(f*x + e)^2 + 2*log(f*x + e)*log(c))/(d*f)) + 3*a^2*h^2*i*(x/(d*f) - e*log(f*x + e)/(d*f^2)) - 1/6*a^2*i^3*(6*e^3*log(f*x + e)/(d*f^4) - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/(d*f^3)) + 3/2*a^2*h*i^2*(2*e^2*log(f*x + e)/(d*f^3) + (f*x^2 - 2*e*x)/(d*f^2)) + 1/3*b^2*h^3*log(c*f*x + c*e)^3/(d*f) + 2*a*b*h^3*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) + a^2*h^3*log(d*f*x + d*e)/(d*f) + 3*(e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*a*b*h^2*i/(d*f^2) - 3/2*(f^2*x^2 + 2*e^2*log(f*x + e)^2 - 6*e*f*x + 6*e^2*log(f*x + e))*a*b*h*i^2/(d*f^3) - (c^2*e*log(c*f*x + c*e)^3 - 3*(c*f*x + c*e)*(c*log(c*f*x + c*e)^2 - 2*c*log(c*f*x + c*e) + 2*c))*b^2*h^2*i/(c^2*d*f^2) - 1/18*(4*f^3*x^3 - 15*e*f^2*x^2 - 18*e^3*log(f*x + e)^2 + 66*e^2*f*x - 66*e^3*log(f*x + e))*a*b*i^3/(d*f^4) + 1/4*(4*c^3*e^2*log(c*f*x + c*e)^3 + 3*(c*f*x + c*e)^2*(2*c*log(c*f*x + c*e)^2 - 2*c*log(c*f*x + c*e) + c) - 24*(c^2*e*log(c*f*x + c*e)^2 - 2*c^2*e*log(c*f*x + c*e) + 2*c^2*e)*(c*f*x + c*e))*b^2*h*i^2/(c^3*d*f^3) - 1/108*(36*c^4*e^3*log(c*f*x + c*e)^3 - 4*(c*f*x + c*e)^3*(9*c*log(c*f*x + c*e)^2 - 6*c*log(c*f*x + c*e) + 2*c) + 81*(2*c^2*e*log(c*f*x + c*e)^2 - 2*c^2*e*log(c*f*x + c*e) + c^2*e)*(c*f*x + c*e)^2 - 324*(c^3*e^2*log(c*f*x + c*e)^2 - 2*c^3*e^2*log(c*f*x + c*e) + 2*c^3*e^2)*(c*f*x + c*e))*b^2*i^3/(c^4*d*f^4)","B",0
185,1,586,0,0.614292," ","integrate((i*x+h)^2*(a+b*log(c*(f*x+e)))^2/(d*f*x+d*e),x, algorithm=""maxima"")","4 \, a b h i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} \log\left(c f x + c e\right) + a b i^{2} {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{d f^{3}} + \frac{f x^{2} - 2 \, e x}{d f^{2}}\right)} \log\left(c f x + c e\right) - a b h^{2} {\left(\frac{2 \, \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} - \frac{\log\left(f x + e\right)^{2} + 2 \, \log\left(f x + e\right) \log\left(c\right)}{d f}\right)} + 2 \, a^{2} h i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} + \frac{1}{2} \, a^{2} i^{2} {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{d f^{3}} + \frac{f x^{2} - 2 \, e x}{d f^{2}}\right)} + \frac{b^{2} h^{2} \log\left(c f x + c e\right)^{3}}{3 \, d f} + \frac{2 \, a b h^{2} \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} + \frac{a^{2} h^{2} \log\left(d f x + d e\right)}{d f} + \frac{2 \, {\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} a b h i}{d f^{2}} - \frac{{\left(f^{2} x^{2} + 2 \, e^{2} \log\left(f x + e\right)^{2} - 6 \, e f x + 6 \, e^{2} \log\left(f x + e\right)\right)} a b i^{2}}{2 \, d f^{3}} - \frac{2 \, {\left(c^{2} e \log\left(c f x + c e\right)^{3} - 3 \, {\left(c f x + c e\right)} {\left(c \log\left(c f x + c e\right)^{2} - 2 \, c \log\left(c f x + c e\right) + 2 \, c\right)}\right)} b^{2} h i}{3 \, c^{2} d f^{2}} + \frac{{\left(4 \, c^{3} e^{2} \log\left(c f x + c e\right)^{3} + 3 \, {\left(c f x + c e\right)}^{2} {\left(2 \, c \log\left(c f x + c e\right)^{2} - 2 \, c \log\left(c f x + c e\right) + c\right)} - 24 \, {\left(c^{2} e \log\left(c f x + c e\right)^{2} - 2 \, c^{2} e \log\left(c f x + c e\right) + 2 \, c^{2} e\right)} {\left(c f x + c e\right)}\right)} b^{2} i^{2}}{12 \, c^{3} d f^{3}}"," ",0,"4*a*b*h*i*(x/(d*f) - e*log(f*x + e)/(d*f^2))*log(c*f*x + c*e) + a*b*i^2*(2*e^2*log(f*x + e)/(d*f^3) + (f*x^2 - 2*e*x)/(d*f^2))*log(c*f*x + c*e) - a*b*h^2*(2*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) - (log(f*x + e)^2 + 2*log(f*x + e)*log(c))/(d*f)) + 2*a^2*h*i*(x/(d*f) - e*log(f*x + e)/(d*f^2)) + 1/2*a^2*i^2*(2*e^2*log(f*x + e)/(d*f^3) + (f*x^2 - 2*e*x)/(d*f^2)) + 1/3*b^2*h^2*log(c*f*x + c*e)^3/(d*f) + 2*a*b*h^2*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) + a^2*h^2*log(d*f*x + d*e)/(d*f) + 2*(e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*a*b*h*i/(d*f^2) - 1/2*(f^2*x^2 + 2*e^2*log(f*x + e)^2 - 6*e*f*x + 6*e^2*log(f*x + e))*a*b*i^2/(d*f^3) - 2/3*(c^2*e*log(c*f*x + c*e)^3 - 3*(c*f*x + c*e)*(c*log(c*f*x + c*e)^2 - 2*c*log(c*f*x + c*e) + 2*c))*b^2*h*i/(c^2*d*f^2) + 1/12*(4*c^3*e^2*log(c*f*x + c*e)^3 + 3*(c*f*x + c*e)^2*(2*c*log(c*f*x + c*e)^2 - 2*c*log(c*f*x + c*e) + c) - 24*(c^2*e*log(c*f*x + c*e)^2 - 2*c^2*e*log(c*f*x + c*e) + 2*c^2*e)*(c*f*x + c*e))*b^2*i^2/(c^3*d*f^3)","B",0
186,1,304,0,0.524795," ","integrate((i*x+h)*(a+b*log(c*(f*x+e)))^2/(d*f*x+d*e),x, algorithm=""maxima"")","2 \, a b i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} \log\left(c f x + c e\right) - a b h {\left(\frac{2 \, \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} - \frac{\log\left(f x + e\right)^{2} + 2 \, \log\left(f x + e\right) \log\left(c\right)}{d f}\right)} + a^{2} i {\left(\frac{x}{d f} - \frac{e \log\left(f x + e\right)}{d f^{2}}\right)} + \frac{b^{2} h \log\left(c f x + c e\right)^{3}}{3 \, d f} + \frac{2 \, a b h \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} + \frac{a^{2} h \log\left(d f x + d e\right)}{d f} + \frac{{\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} a b i}{d f^{2}} - \frac{{\left(c^{2} e \log\left(c f x + c e\right)^{3} - 3 \, {\left(c f x + c e\right)} {\left(c \log\left(c f x + c e\right)^{2} - 2 \, c \log\left(c f x + c e\right) + 2 \, c\right)}\right)} b^{2} i}{3 \, c^{2} d f^{2}}"," ",0,"2*a*b*i*(x/(d*f) - e*log(f*x + e)/(d*f^2))*log(c*f*x + c*e) - a*b*h*(2*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) - (log(f*x + e)^2 + 2*log(f*x + e)*log(c))/(d*f)) + a^2*i*(x/(d*f) - e*log(f*x + e)/(d*f^2)) + 1/3*b^2*h*log(c*f*x + c*e)^3/(d*f) + 2*a*b*h*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) + a^2*h*log(d*f*x + d*e)/(d*f) + (e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*a*b*i/(d*f^2) - 1/3*(c^2*e*log(c*f*x + c*e)^3 - 3*(c*f*x + c*e)*(c*log(c*f*x + c*e)^2 - 2*c*log(c*f*x + c*e) + 2*c))*b^2*i/(c^2*d*f^2)","B",0
187,1,128,0,0.508858," ","integrate((a+b*log(c*(f*x+e)))^2/(d*f*x+d*e),x, algorithm=""maxima"")","-a b {\left(\frac{2 \, \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} - \frac{\log\left(f x + e\right)^{2} + 2 \, \log\left(f x + e\right) \log\left(c\right)}{d f}\right)} + \frac{b^{2} \log\left(c f x + c e\right)^{3}}{3 \, d f} + \frac{2 \, a b \log\left(c f x + c e\right) \log\left(d f x + d e\right)}{d f} + \frac{a^{2} \log\left(d f x + d e\right)}{d f}"," ",0,"-a*b*(2*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) - (log(f*x + e)^2 + 2*log(f*x + e)*log(c))/(d*f)) + 1/3*b^2*log(c*f*x + c*e)^3/(d*f) + 2*a*b*log(c*f*x + c*e)*log(d*f*x + d*e)/(d*f) + a^2*log(d*f*x + d*e)/(d*f)","B",0
188,1,331,0,0.729956," ","integrate((a+b*log(c*(f*x+e)))^2/(d*f*x+d*e)/(i*x+h),x, algorithm=""maxima"")","a^{2} {\left(\frac{\log\left(f x + e\right)}{d f h - d e i} - \frac{\log\left(i x + h\right)}{d f h - d e i}\right)} - \frac{{\left(\log\left(f x + e\right)^{2} \log\left(\frac{f i x + e i}{f h - e i} + 1\right) + 2 \, {\rm Li}_2\left(-\frac{f i x + e i}{f h - e i}\right) \log\left(f x + e\right) - 2 \, {\rm Li}_{3}(-\frac{f i x + e i}{f h - e i})\right)} b^{2}}{{\left(f h - e i\right)} d} - \frac{2 \, {\left(b^{2} \log\left(c\right) + a b\right)} {\left(\log\left(f x + e\right) \log\left(\frac{f i x + e i}{f h - e i} + 1\right) + {\rm Li}_2\left(-\frac{f i x + e i}{f h - e i}\right)\right)}}{{\left(f h - e i\right)} d} - \frac{{\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} \log\left(i x + h\right)}{{\left(f h - e i\right)} d} + \frac{b^{2} \log\left(f x + e\right)^{3} + 3 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(f x + e\right)^{2} + 3 \, {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} \log\left(f x + e\right)}{3 \, {\left(f h - e i\right)} d}"," ",0,"a^2*(log(f*x + e)/(d*f*h - d*e*i) - log(i*x + h)/(d*f*h - d*e*i)) - (log(f*x + e)^2*log((f*i*x + e*i)/(f*h - e*i) + 1) + 2*dilog(-(f*i*x + e*i)/(f*h - e*i))*log(f*x + e) - 2*polylog(3, -(f*i*x + e*i)/(f*h - e*i)))*b^2/((f*h - e*i)*d) - 2*(b^2*log(c) + a*b)*(log(f*x + e)*log((f*i*x + e*i)/(f*h - e*i) + 1) + dilog(-(f*i*x + e*i)/(f*h - e*i)))/((f*h - e*i)*d) - (b^2*log(c)^2 + 2*a*b*log(c))*log(i*x + h)/((f*h - e*i)*d) + 1/3*(b^2*log(f*x + e)^3 + 3*(b^2*log(c) + a*b)*log(f*x + e)^2 + 3*(b^2*log(c)^2 + 2*a*b*log(c))*log(f*x + e))/((f*h - e*i)*d)","B",0
189,1,622,0,0.899902," ","integrate((a+b*log(c*(f*x+e)))^2/(d*f*x+d*e)/(i*x+h)^2,x, algorithm=""maxima"")","a^{2} {\left(\frac{f \log\left(f x + e\right)}{d f^{2} h^{2} - 2 \, d e f h i + d e^{2} i^{2}} - \frac{f \log\left(i x + h\right)}{d f^{2} h^{2} - 2 \, d e f h i + d e^{2} i^{2}} + \frac{1}{d f h^{2} - d e h i + {\left(d f h i - d e i^{2}\right)} x}\right)} - \frac{{\left(\log\left(f x + e\right)^{2} \log\left(\frac{f i x + e i}{f h - e i} + 1\right) + 2 \, {\rm Li}_2\left(-\frac{f i x + e i}{f h - e i}\right) \log\left(f x + e\right) - 2 \, {\rm Li}_{3}(-\frac{f i x + e i}{f h - e i})\right)} b^{2} f}{{\left(f^{2} h^{2} - 2 \, e f h i + e^{2} i^{2}\right)} d} + \frac{3 \, {\left(f h - e i\right)} b^{2} \log\left(c\right)^{2} + {\left(b^{2} f i x + b^{2} f h\right)} \log\left(f x + e\right)^{3} + 6 \, {\left(f h - e i\right)} a b \log\left(c\right) + 3 \, {\left(a b f h + {\left(f h \log\left(c\right) - e i\right)} b^{2} + {\left(a b f i + {\left(f i \log\left(c\right) - f i\right)} b^{2}\right)} x\right)} \log\left(f x + e\right)^{2} + 3 \, {\left(2 \, {\left(f h \log\left(c\right) - e i\right)} a b + {\left(f h \log\left(c\right)^{2} - 2 \, e i \log\left(c\right)\right)} b^{2} + {\left(2 \, {\left(f i \log\left(c\right) - f i\right)} a b + {\left(f i \log\left(c\right)^{2} - 2 \, f i \log\left(c\right)\right)} b^{2}\right)} x\right)} \log\left(f x + e\right)}{3 \, {\left({\left(f^{2} h^{2} i - 2 \, e f h i^{2} + e^{2} i^{3}\right)} d x + {\left(f^{2} h^{3} - 2 \, e f h^{2} i + e^{2} h i^{2}\right)} d\right)}} - \frac{2 \, {\left({\left(f \log\left(c\right) - f\right)} b^{2} + a b f\right)} {\left(\log\left(f x + e\right) \log\left(\frac{f i x + e i}{f h - e i} + 1\right) + {\rm Li}_2\left(-\frac{f i x + e i}{f h - e i}\right)\right)}}{{\left(f^{2} h^{2} - 2 \, e f h i + e^{2} i^{2}\right)} d} - \frac{{\left(2 \, {\left(f \log\left(c\right) - f\right)} a b + {\left(f \log\left(c\right)^{2} - 2 \, f \log\left(c\right)\right)} b^{2}\right)} \log\left(i x + h\right)}{{\left(f^{2} h^{2} - 2 \, e f h i + e^{2} i^{2}\right)} d}"," ",0,"a^2*(f*log(f*x + e)/(d*f^2*h^2 - 2*d*e*f*h*i + d*e^2*i^2) - f*log(i*x + h)/(d*f^2*h^2 - 2*d*e*f*h*i + d*e^2*i^2) + 1/(d*f*h^2 - d*e*h*i + (d*f*h*i - d*e*i^2)*x)) - (log(f*x + e)^2*log((f*i*x + e*i)/(f*h - e*i) + 1) + 2*dilog(-(f*i*x + e*i)/(f*h - e*i))*log(f*x + e) - 2*polylog(3, -(f*i*x + e*i)/(f*h - e*i)))*b^2*f/((f^2*h^2 - 2*e*f*h*i + e^2*i^2)*d) + 1/3*(3*(f*h - e*i)*b^2*log(c)^2 + (b^2*f*i*x + b^2*f*h)*log(f*x + e)^3 + 6*(f*h - e*i)*a*b*log(c) + 3*(a*b*f*h + (f*h*log(c) - e*i)*b^2 + (a*b*f*i + (f*i*log(c) - f*i)*b^2)*x)*log(f*x + e)^2 + 3*(2*(f*h*log(c) - e*i)*a*b + (f*h*log(c)^2 - 2*e*i*log(c))*b^2 + (2*(f*i*log(c) - f*i)*a*b + (f*i*log(c)^2 - 2*f*i*log(c))*b^2)*x)*log(f*x + e))/((f^2*h^2*i - 2*e*f*h*i^2 + e^2*i^3)*d*x + (f^2*h^3 - 2*e*f*h^2*i + e^2*h*i^2)*d) - 2*((f*log(c) - f)*b^2 + a*b*f)*(log(f*x + e)*log((f*i*x + e*i)/(f*h - e*i) + 1) + dilog(-(f*i*x + e*i)/(f*h - e*i)))/((f^2*h^2 - 2*e*f*h*i + e^2*i^2)*d) - (2*(f*log(c) - f)*a*b + (f*log(c)^2 - 2*f*log(c))*b^2)*log(i*x + h)/((f^2*h^2 - 2*e*f*h*i + e^2*i^2)*d)","B",0
190,1,1271,0,1.321533," ","integrate((a+b*log(c*(f*x+e)))^2/(d*f*x+d*e)/(i*x+h)^3,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{2 \, f^{2} \log\left(f x + e\right)}{d f^{3} h^{3} - 3 \, d e f^{2} h^{2} i + 3 \, d e^{2} f h i^{2} - d e^{3} i^{3}} - \frac{2 \, f^{2} \log\left(i x + h\right)}{d f^{3} h^{3} - 3 \, d e f^{2} h^{2} i + 3 \, d e^{2} f h i^{2} - d e^{3} i^{3}} + \frac{2 \, f i x + 3 \, f h - e i}{d f^{2} h^{4} - 2 \, d e f h^{3} i + d e^{2} h^{2} i^{2} + {\left(d f^{2} h^{2} i^{2} - 2 \, d e f h i^{3} + d e^{2} i^{4}\right)} x^{2} + 2 \, {\left(d f^{2} h^{3} i - 2 \, d e f h^{2} i^{2} + d e^{2} h i^{3}\right)} x}\right)} a^{2} - \frac{{\left(\log\left(f x + e\right)^{2} \log\left(\frac{f i x + e i}{f h - e i} + 1\right) + 2 \, {\rm Li}_2\left(-\frac{f i x + e i}{f h - e i}\right) \log\left(f x + e\right) - 2 \, {\rm Li}_{3}(-\frac{f i x + e i}{f h - e i})\right)} b^{2} f^{2}}{{\left(f^{3} h^{3} - 3 \, e f^{2} h^{2} i + 3 \, e^{2} f h i^{2} - e^{3} i^{3}\right)} d} + \frac{2 \, {\left(b^{2} f^{2} i^{2} x^{2} + 2 \, b^{2} f^{2} h i x + b^{2} f^{2} h^{2}\right)} \log\left(f x + e\right)^{3} - 6 \, {\left(f^{2} h^{2} - e f h i - {\left(3 \, f^{2} h^{2} - 4 \, e f h i + e^{2} i^{2}\right)} \log\left(c\right)\right)} a b + 3 \, {\left({\left(3 \, f^{2} h^{2} - 4 \, e f h i + e^{2} i^{2}\right)} \log\left(c\right)^{2} - 2 \, {\left(f^{2} h^{2} - e f h i\right)} \log\left(c\right)\right)} b^{2} + 3 \, {\left(2 \, a b f^{2} h^{2} + {\left(2 \, f^{2} h^{2} \log\left(c\right) - 4 \, e f h i + e^{2} i^{2}\right)} b^{2} + {\left(2 \, a b f^{2} i^{2} + {\left(2 \, f^{2} i^{2} \log\left(c\right) - 3 \, f^{2} i^{2}\right)} b^{2}\right)} x^{2} + 2 \, {\left(2 \, a b f^{2} h i + {\left(2 \, f^{2} h i \log\left(c\right) - 2 \, f^{2} h i - e f i^{2}\right)} b^{2}\right)} x\right)} \log\left(f x + e\right)^{2} - 6 \, {\left({\left(f^{2} h i - e f i^{2} - 2 \, {\left(f^{2} h i - e f i^{2}\right)} \log\left(c\right)\right)} a b - {\left({\left(f^{2} h i - e f i^{2}\right)} \log\left(c\right)^{2} - {\left(f^{2} h i - e f i^{2}\right)} \log\left(c\right)\right)} b^{2}\right)} x + 6 \, {\left({\left(2 \, f^{2} h^{2} \log\left(c\right) - 4 \, e f h i + e^{2} i^{2}\right)} a b + {\left(f^{2} h^{2} \log\left(c\right)^{2} + e f h i - {\left(4 \, e f h i - e^{2} i^{2}\right)} \log\left(c\right)\right)} b^{2} + {\left({\left(2 \, f^{2} i^{2} \log\left(c\right) - 3 \, f^{2} i^{2}\right)} a b + {\left(f^{2} i^{2} \log\left(c\right)^{2} - 3 \, f^{2} i^{2} \log\left(c\right) + f^{2} i^{2}\right)} b^{2}\right)} x^{2} + {\left(2 \, {\left(2 \, f^{2} h i \log\left(c\right) - 2 \, f^{2} h i - e f i^{2}\right)} a b + {\left(2 \, f^{2} h i \log\left(c\right)^{2} + f^{2} h i + e f i^{2} - 2 \, {\left(2 \, f^{2} h i + e f i^{2}\right)} \log\left(c\right)\right)} b^{2}\right)} x\right)} \log\left(f x + e\right)}{6 \, {\left({\left(f^{3} h^{3} i^{2} - 3 \, e f^{2} h^{2} i^{3} + 3 \, e^{2} f h i^{4} - e^{3} i^{5}\right)} d x^{2} + 2 \, {\left(f^{3} h^{4} i - 3 \, e f^{2} h^{3} i^{2} + 3 \, e^{2} f h^{2} i^{3} - e^{3} h i^{4}\right)} d x + {\left(f^{3} h^{5} - 3 \, e f^{2} h^{4} i + 3 \, e^{2} f h^{3} i^{2} - e^{3} h^{2} i^{3}\right)} d\right)}} - \frac{{\left(2 \, a b f^{2} + {\left(2 \, f^{2} \log\left(c\right) - 3 \, f^{2}\right)} b^{2}\right)} {\left(\log\left(f x + e\right) \log\left(\frac{f i x + e i}{f h - e i} + 1\right) + {\rm Li}_2\left(-\frac{f i x + e i}{f h - e i}\right)\right)}}{{\left(f^{3} h^{3} - 3 \, e f^{2} h^{2} i + 3 \, e^{2} f h i^{2} - e^{3} i^{3}\right)} d} - \frac{{\left({\left(2 \, f^{2} \log\left(c\right) - 3 \, f^{2}\right)} a b + {\left(f^{2} \log\left(c\right)^{2} - 3 \, f^{2} \log\left(c\right) + f^{2}\right)} b^{2}\right)} \log\left(i x + h\right)}{{\left(f^{3} h^{3} - 3 \, e f^{2} h^{2} i + 3 \, e^{2} f h i^{2} - e^{3} i^{3}\right)} d}"," ",0,"1/2*(2*f^2*log(f*x + e)/(d*f^3*h^3 - 3*d*e*f^2*h^2*i + 3*d*e^2*f*h*i^2 - d*e^3*i^3) - 2*f^2*log(i*x + h)/(d*f^3*h^3 - 3*d*e*f^2*h^2*i + 3*d*e^2*f*h*i^2 - d*e^3*i^3) + (2*f*i*x + 3*f*h - e*i)/(d*f^2*h^4 - 2*d*e*f*h^3*i + d*e^2*h^2*i^2 + (d*f^2*h^2*i^2 - 2*d*e*f*h*i^3 + d*e^2*i^4)*x^2 + 2*(d*f^2*h^3*i - 2*d*e*f*h^2*i^2 + d*e^2*h*i^3)*x))*a^2 - (log(f*x + e)^2*log((f*i*x + e*i)/(f*h - e*i) + 1) + 2*dilog(-(f*i*x + e*i)/(f*h - e*i))*log(f*x + e) - 2*polylog(3, -(f*i*x + e*i)/(f*h - e*i)))*b^2*f^2/((f^3*h^3 - 3*e*f^2*h^2*i + 3*e^2*f*h*i^2 - e^3*i^3)*d) + 1/6*(2*(b^2*f^2*i^2*x^2 + 2*b^2*f^2*h*i*x + b^2*f^2*h^2)*log(f*x + e)^3 - 6*(f^2*h^2 - e*f*h*i - (3*f^2*h^2 - 4*e*f*h*i + e^2*i^2)*log(c))*a*b + 3*((3*f^2*h^2 - 4*e*f*h*i + e^2*i^2)*log(c)^2 - 2*(f^2*h^2 - e*f*h*i)*log(c))*b^2 + 3*(2*a*b*f^2*h^2 + (2*f^2*h^2*log(c) - 4*e*f*h*i + e^2*i^2)*b^2 + (2*a*b*f^2*i^2 + (2*f^2*i^2*log(c) - 3*f^2*i^2)*b^2)*x^2 + 2*(2*a*b*f^2*h*i + (2*f^2*h*i*log(c) - 2*f^2*h*i - e*f*i^2)*b^2)*x)*log(f*x + e)^2 - 6*((f^2*h*i - e*f*i^2 - 2*(f^2*h*i - e*f*i^2)*log(c))*a*b - ((f^2*h*i - e*f*i^2)*log(c)^2 - (f^2*h*i - e*f*i^2)*log(c))*b^2)*x + 6*((2*f^2*h^2*log(c) - 4*e*f*h*i + e^2*i^2)*a*b + (f^2*h^2*log(c)^2 + e*f*h*i - (4*e*f*h*i - e^2*i^2)*log(c))*b^2 + ((2*f^2*i^2*log(c) - 3*f^2*i^2)*a*b + (f^2*i^2*log(c)^2 - 3*f^2*i^2*log(c) + f^2*i^2)*b^2)*x^2 + (2*(2*f^2*h*i*log(c) - 2*f^2*h*i - e*f*i^2)*a*b + (2*f^2*h*i*log(c)^2 + f^2*h*i + e*f*i^2 - 2*(2*f^2*h*i + e*f*i^2)*log(c))*b^2)*x)*log(f*x + e))/((f^3*h^3*i^2 - 3*e*f^2*h^2*i^3 + 3*e^2*f*h*i^4 - e^3*i^5)*d*x^2 + 2*(f^3*h^4*i - 3*e*f^2*h^3*i^2 + 3*e^2*f*h^2*i^3 - e^3*h*i^4)*d*x + (f^3*h^5 - 3*e*f^2*h^4*i + 3*e^2*f*h^3*i^2 - e^3*h^2*i^3)*d) - (2*a*b*f^2 + (2*f^2*log(c) - 3*f^2)*b^2)*(log(f*x + e)*log((f*i*x + e*i)/(f*h - e*i) + 1) + dilog(-(f*i*x + e*i)/(f*h - e*i)))/((f^3*h^3 - 3*e*f^2*h^2*i + 3*e^2*f*h*i^2 - e^3*i^3)*d) - ((2*f^2*log(c) - 3*f^2)*a*b + (f^2*log(c)^2 - 3*f^2*log(c) + f^2)*b^2)*log(i*x + h)/((f^3*h^3 - 3*e*f^2*h^2*i + 3*e^2*f*h*i^2 - e^3*i^3)*d)","B",0
191,0,0,0,0.000000," ","integrate((i*x+h)^4/(d*f*x+d*e)/(a+b*log(c*(f*x+e))),x, algorithm=""maxima"")","\frac{h^{4} \log\left(\frac{b \log\left(f x + e\right) + b \log\left(c\right) + a}{b}\right)}{b d f} + \int \frac{i^{4} x^{4} + 4 \, h i^{3} x^{3} + 6 \, h^{2} i^{2} x^{2} + 4 \, h^{3} i x}{b d e \log\left(c\right) + a d e + {\left(b d f \log\left(c\right) + a d f\right)} x + {\left(b d f x + b d e\right)} \log\left(f x + e\right)}\,{d x}"," ",0,"h^4*log((b*log(f*x + e) + b*log(c) + a)/b)/(b*d*f) + integrate((i^4*x^4 + 4*h*i^3*x^3 + 6*h^2*i^2*x^2 + 4*h^3*i*x)/(b*d*e*log(c) + a*d*e + (b*d*f*log(c) + a*d*f)*x + (b*d*f*x + b*d*e)*log(f*x + e)), x)","F",0
192,0,0,0,0.000000," ","integrate((i*x+h)^3/(d*f*x+d*e)/(a+b*log(c*(f*x+e))),x, algorithm=""maxima"")","\frac{h^{3} \log\left(\frac{b \log\left(f x + e\right) + b \log\left(c\right) + a}{b}\right)}{b d f} + \int \frac{i^{3} x^{3} + 3 \, h i^{2} x^{2} + 3 \, h^{2} i x}{b d e \log\left(c\right) + a d e + {\left(b d f \log\left(c\right) + a d f\right)} x + {\left(b d f x + b d e\right)} \log\left(f x + e\right)}\,{d x}"," ",0,"h^3*log((b*log(f*x + e) + b*log(c) + a)/b)/(b*d*f) + integrate((i^3*x^3 + 3*h*i^2*x^2 + 3*h^2*i*x)/(b*d*e*log(c) + a*d*e + (b*d*f*log(c) + a*d*f)*x + (b*d*f*x + b*d*e)*log(f*x + e)), x)","F",0
193,0,0,0,0.000000," ","integrate((i*x+h)^2/(d*f*x+d*e)/(a+b*log(c*(f*x+e))),x, algorithm=""maxima"")","\frac{h^{2} \log\left(\frac{b \log\left(f x + e\right) + b \log\left(c\right) + a}{b}\right)}{b d f} + \int \frac{i^{2} x^{2} + 2 \, h i x}{b d e \log\left(c\right) + a d e + {\left(b d f \log\left(c\right) + a d f\right)} x + {\left(b d f x + b d e\right)} \log\left(f x + e\right)}\,{d x}"," ",0,"h^2*log((b*log(f*x + e) + b*log(c) + a)/b)/(b*d*f) + integrate((i^2*x^2 + 2*h*i*x)/(b*d*e*log(c) + a*d*e + (b*d*f*log(c) + a*d*f)*x + (b*d*f*x + b*d*e)*log(f*x + e)), x)","F",0
194,0,0,0,0.000000," ","integrate((i*x+h)/(d*f*x+d*e)/(a+b*log(c*(f*x+e))),x, algorithm=""maxima"")","i \int \frac{x}{b d e \log\left(c\right) + a d e + {\left(b d f \log\left(c\right) + a d f\right)} x + {\left(b d f x + b d e\right)} \log\left(f x + e\right)}\,{d x} + \frac{h \log\left(\frac{b \log\left(f x + e\right) + b \log\left(c\right) + a}{b}\right)}{b d f}"," ",0,"i*integrate(x/(b*d*e*log(c) + a*d*e + (b*d*f*log(c) + a*d*f)*x + (b*d*f*x + b*d*e)*log(f*x + e)), x) + h*log((b*log(f*x + e) + b*log(c) + a)/b)/(b*d*f)","F",0
195,1,29,0,0.469784," ","integrate(1/(d*f*x+d*e)/(a+b*log(c*(f*x+e))),x, algorithm=""maxima"")","\frac{\log\left(\frac{b \log\left(f x + e\right) + b \log\left(c\right) + a}{b}\right)}{b d f}"," ",0,"log((b*log(f*x + e) + b*log(c) + a)/b)/(b*d*f)","A",0
196,0,0,0,0.000000," ","integrate(1/(d*f*x+d*e)/(i*x+h)/(a+b*log(c*(f*x+e))),x, algorithm=""maxima"")","\int \frac{1}{{\left(d f x + d e\right)} {\left(i x + h\right)} {\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*f*x + d*e)*(i*x + h)*(b*log((f*x + e)*c) + a)), x)","F",0
197,0,0,0,0.000000," ","integrate(1/(d*f*x+d*e)/(i*x+h)^2/(a+b*log(c*(f*x+e))),x, algorithm=""maxima"")","\int \frac{1}{{\left(d f x + d e\right)} {\left(i x + h\right)}^{2} {\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*f*x + d*e)*(i*x + h)^2*(b*log((f*x + e)*c) + a)), x)","F",0
198,-2,0,0,0.000000," ","integrate((g*x+f)^(5/2)*(a+b*log(c*(e*x+d)^n))/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
199,-2,0,0,0.000000," ","integrate((g*x+f)^(3/2)*(a+b*log(c*(e*x+d)^n))/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
200,-2,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(a+b*log(c*(e*x+d)^n))/(e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
201,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(e*x+d)/(g*x+f)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
202,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(e*x+d)/(g*x+f)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
203,-2,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(e*x+d)/(g*x+f)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(d*g-e*f>0)', see `assume?` for more details)Is d*g-e*f positive or negative?","F(-2)",0
204,-2,0,0,0.000000," ","integrate((e*x+d)^(3/2)*log(b*x+a)/(b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
205,-2,0,0,0.000000," ","integrate((e*x+d)^(1/2)*log(b*x+a)/(b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
206,-2,0,0,0.000000," ","integrate(log(b*x+a)/(b*x+a)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
207,-2,0,0,0.000000," ","integrate(log(b*x+a)/(b*x+a)/(e*x+d)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
208,-2,0,0,0.000000," ","integrate(log(b*x+a)/(b*x+a)/(e*x+d)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e-b*d>0)', see `assume?` for more details)Is a*e-b*d positive or negative?","F(-2)",0
209,0,0,0,0.000000," ","integrate((i*x+h)^q*(a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),x, algorithm=""maxima"")","\int \frac{{\left(i x + h\right)}^{q} {\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}^{p}}{d f x + d e}\,{d x}"," ",0,"integrate((i*x + h)^q*(b*log((f*x + e)*c) + a)^p/(d*f*x + d*e), x)","F",0
210,0,0,0,0.000000," ","integrate((i*x+h)^3*(a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),x, algorithm=""maxima"")","\frac{{\left(b c \log\left(c f x + c e\right) + a c\right)} {\left(b \log\left(c f x + c e\right) + a\right)}^{p} h^{3}}{b c d f {\left(p + 1\right)}} + \int \frac{{\left(i^{3} x^{3} + 3 \, h i^{2} x^{2} + 3 \, h^{2} i x\right)} {\left(b \log\left(f x + e\right) + b \log\left(c\right) + a\right)}^{p}}{d f x + d e}\,{d x}"," ",0,"(b*c*log(c*f*x + c*e) + a*c)*(b*log(c*f*x + c*e) + a)^p*h^3/(b*c*d*f*(p + 1)) + integrate((i^3*x^3 + 3*h*i^2*x^2 + 3*h^2*i*x)*(b*log(f*x + e) + b*log(c) + a)^p/(d*f*x + d*e), x)","F",0
211,0,0,0,0.000000," ","integrate((i*x+h)^2*(a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),x, algorithm=""maxima"")","\frac{{\left(b c \log\left(c f x + c e\right) + a c\right)} {\left(b \log\left(c f x + c e\right) + a\right)}^{p} h^{2}}{b c d f {\left(p + 1\right)}} + \int \frac{{\left(i^{2} x^{2} + 2 \, h i x\right)} {\left(b \log\left(f x + e\right) + b \log\left(c\right) + a\right)}^{p}}{d f x + d e}\,{d x}"," ",0,"(b*c*log(c*f*x + c*e) + a*c)*(b*log(c*f*x + c*e) + a)^p*h^2/(b*c*d*f*(p + 1)) + integrate((i^2*x^2 + 2*h*i*x)*(b*log(f*x + e) + b*log(c) + a)^p/(d*f*x + d*e), x)","F",0
212,0,0,0,0.000000," ","integrate((i*x+h)*(a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),x, algorithm=""maxima"")","i \int \frac{{\left(b \log\left(f x + e\right) + b \log\left(c\right) + a\right)}^{p} x}{d f x + d e}\,{d x} + \frac{{\left(b c \log\left(c f x + c e\right) + a c\right)} {\left(b \log\left(c f x + c e\right) + a\right)}^{p} h}{b c d f {\left(p + 1\right)}}"," ",0,"i*integrate((b*log(f*x + e) + b*log(c) + a)^p*x/(d*f*x + d*e), x) + (b*c*log(c*f*x + c*e) + a*c)*(b*log(c*f*x + c*e) + a)^p*h/(b*c*d*f*(p + 1))","F",0
213,1,32,0,0.465062," ","integrate((a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),x, algorithm=""maxima"")","\frac{{\left(b \log\left(c f x + c e\right) + a\right)}^{p + 1}}{b d f {\left(p + 1\right)}}"," ",0,"(b*log(c*f*x + c*e) + a)^(p + 1)/(b*d*f*(p + 1))","A",0
214,0,0,0,0.000000," ","integrate((a+b*log(c*(f*x+e)))^p/(d*f*x+d*e)/(i*x+h),x, algorithm=""maxima"")","\int \frac{{\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}^{p}}{{\left(d f x + d e\right)} {\left(i x + h\right)}}\,{d x}"," ",0,"integrate((b*log((f*x + e)*c) + a)^p/((d*f*x + d*e)*(i*x + h)), x)","F",0
215,0,0,0,0.000000," ","integrate((a+b*log(c*(f*x+e)))^p/(d*f*x+d*e)/(i*x+h)^2,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}^{p}}{{\left(d f x + d e\right)} {\left(i x + h\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((f*x + e)*c) + a)^p/((d*f*x + d*e)*(i*x + h)^2), x)","F",0
216,0,0,0,0.000000," ","integrate((a+b*log(c*(f*x+e)))^p/(d*f*x+d*e)/(i*x+h)^3,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}^{p}}{{\left(d f x + d e\right)} {\left(i x + h\right)}^{3}}\,{d x}"," ",0,"integrate((b*log((f*x + e)*c) + a)^p/((d*f*x + d*e)*(i*x + h)^3), x)","F",0
217,0,0,0,0.000000," ","integrate((i*x+h)^3*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""maxima"")","3 \, a h^{2} i {\left(\frac{x}{g} - \frac{f \log\left(g x + f\right)}{g^{2}}\right)} - \frac{1}{6} \, a i^{3} {\left(\frac{6 \, f^{3} \log\left(g x + f\right)}{g^{4}} - \frac{2 \, g^{2} x^{3} - 3 \, f g x^{2} + 6 \, f^{2} x}{g^{3}}\right)} + \frac{3}{2} \, a h i^{2} {\left(\frac{2 \, f^{2} \log\left(g x + f\right)}{g^{3}} + \frac{g x^{2} - 2 \, f x}{g^{2}}\right)} + \frac{a h^{3} \log\left(g x + f\right)}{g} + \int \frac{b i^{3} x^{3} \log\left(c\right) + 3 \, b h i^{2} x^{2} \log\left(c\right) + 3 \, b h^{2} i x \log\left(c\right) + b h^{3} \log\left(c\right) + {\left(b i^{3} x^{3} + 3 \, b h i^{2} x^{2} + 3 \, b h^{2} i x + b h^{3}\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x + f}\,{d x}"," ",0,"3*a*h^2*i*(x/g - f*log(g*x + f)/g^2) - 1/6*a*i^3*(6*f^3*log(g*x + f)/g^4 - (2*g^2*x^3 - 3*f*g*x^2 + 6*f^2*x)/g^3) + 3/2*a*h*i^2*(2*f^2*log(g*x + f)/g^3 + (g*x^2 - 2*f*x)/g^2) + a*h^3*log(g*x + f)/g + integrate((b*i^3*x^3*log(c) + 3*b*h*i^2*x^2*log(c) + 3*b*h^2*i*x*log(c) + b*h^3*log(c) + (b*i^3*x^3 + 3*b*h*i^2*x^2 + 3*b*h^2*i*x + b*h^3)*log((e*x + d)^n))/(g*x + f), x)","F",0
218,0,0,0,0.000000," ","integrate((i*x+h)^2*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""maxima"")","2 \, a h i {\left(\frac{x}{g} - \frac{f \log\left(g x + f\right)}{g^{2}}\right)} + \frac{1}{2} \, a i^{2} {\left(\frac{2 \, f^{2} \log\left(g x + f\right)}{g^{3}} + \frac{g x^{2} - 2 \, f x}{g^{2}}\right)} + \frac{a h^{2} \log\left(g x + f\right)}{g} + \int \frac{b i^{2} x^{2} \log\left(c\right) + 2 \, b h i x \log\left(c\right) + b h^{2} \log\left(c\right) + {\left(b i^{2} x^{2} + 2 \, b h i x + b h^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x + f}\,{d x}"," ",0,"2*a*h*i*(x/g - f*log(g*x + f)/g^2) + 1/2*a*i^2*(2*f^2*log(g*x + f)/g^3 + (g*x^2 - 2*f*x)/g^2) + a*h^2*log(g*x + f)/g + integrate((b*i^2*x^2*log(c) + 2*b*h*i*x*log(c) + b*h^2*log(c) + (b*i^2*x^2 + 2*b*h*i*x + b*h^2)*log((e*x + d)^n))/(g*x + f), x)","F",0
219,0,0,0,0.000000," ","integrate((i*x+h)*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""maxima"")","a i {\left(\frac{x}{g} - \frac{f \log\left(g x + f\right)}{g^{2}}\right)} + \frac{a h \log\left(g x + f\right)}{g} + \int \frac{b i x \log\left(c\right) + b h \log\left(c\right) + {\left(b i x + b h\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x + f}\,{d x}"," ",0,"a*i*(x/g - f*log(g*x + f)/g^2) + a*h*log(g*x + f)/g + integrate((b*i*x*log(c) + b*h*log(c) + (b*i*x + b*h)*log((e*x + d)^n))/(g*x + f), x)","F",0
220,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""maxima"")","b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g x + f}\,{d x} + \frac{a \log\left(g x + f\right)}{g}"," ",0,"b*integrate((log((e*x + d)^n) + log(c))/(g*x + f), x) + a*log(g*x + f)/g","F",0
221,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)/(i*x+h),x, algorithm=""maxima"")","a {\left(\frac{\log\left(g x + f\right)}{g h - f i} - \frac{\log\left(i x + h\right)}{g h - f i}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g i x^{2} + f h + {\left(g h + f i\right)} x}\,{d x}"," ",0,"a*(log(g*x + f)/(g*h - f*i) - log(i*x + h)/(g*h - f*i)) + b*integrate((log((e*x + d)^n) + log(c))/(g*i*x^2 + f*h + (g*h + f*i)*x), x)","F",0
222,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)/(i*x+h)^2,x, algorithm=""maxima"")","a {\left(\frac{g \log\left(g x + f\right)}{g^{2} h^{2} - 2 \, f g h i + f^{2} i^{2}} - \frac{g \log\left(i x + h\right)}{g^{2} h^{2} - 2 \, f g h i + f^{2} i^{2}} + \frac{1}{g h^{2} - f h i + {\left(g h i - f i^{2}\right)} x}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g i^{2} x^{3} + f h^{2} + {\left(2 \, g h i + f i^{2}\right)} x^{2} + {\left(g h^{2} + 2 \, f h i\right)} x}\,{d x}"," ",0,"a*(g*log(g*x + f)/(g^2*h^2 - 2*f*g*h*i + f^2*i^2) - g*log(i*x + h)/(g^2*h^2 - 2*f*g*h*i + f^2*i^2) + 1/(g*h^2 - f*h*i + (g*h*i - f*i^2)*x)) + b*integrate((log((e*x + d)^n) + log(c))/(g*i^2*x^3 + f*h^2 + (2*g*h*i + f*i^2)*x^2 + (g*h^2 + 2*f*h*i)*x), x)","F",0
223,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)/(i*x+h)^3,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{2 \, g^{2} \log\left(g x + f\right)}{g^{3} h^{3} - 3 \, f g^{2} h^{2} i + 3 \, f^{2} g h i^{2} - f^{3} i^{3}} - \frac{2 \, g^{2} \log\left(i x + h\right)}{g^{3} h^{3} - 3 \, f g^{2} h^{2} i + 3 \, f^{2} g h i^{2} - f^{3} i^{3}} + \frac{2 \, g i x + 3 \, g h - f i}{g^{2} h^{4} - 2 \, f g h^{3} i + f^{2} h^{2} i^{2} + {\left(g^{2} h^{2} i^{2} - 2 \, f g h i^{3} + f^{2} i^{4}\right)} x^{2} + 2 \, {\left(g^{2} h^{3} i - 2 \, f g h^{2} i^{2} + f^{2} h i^{3}\right)} x}\right)} a + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g i^{3} x^{4} + f h^{3} + {\left(3 \, g h i^{2} + f i^{3}\right)} x^{3} + 3 \, {\left(g h^{2} i + f h i^{2}\right)} x^{2} + {\left(g h^{3} + 3 \, f h^{2} i\right)} x}\,{d x}"," ",0,"1/2*(2*g^2*log(g*x + f)/(g^3*h^3 - 3*f*g^2*h^2*i + 3*f^2*g*h*i^2 - f^3*i^3) - 2*g^2*log(i*x + h)/(g^3*h^3 - 3*f*g^2*h^2*i + 3*f^2*g*h*i^2 - f^3*i^3) + (2*g*i*x + 3*g*h - f*i)/(g^2*h^4 - 2*f*g*h^3*i + f^2*h^2*i^2 + (g^2*h^2*i^2 - 2*f*g*h*i^3 + f^2*i^4)*x^2 + 2*(g^2*h^3*i - 2*f*g*h^2*i^2 + f^2*h*i^3)*x))*a + b*integrate((log((e*x + d)^n) + log(c))/(g*i^3*x^4 + f*h^3 + (3*g*h*i^2 + f*i^3)*x^3 + 3*(g*h^2*i + f*h*i^2)*x^2 + (g*h^3 + 3*f*h^2*i)*x), x)","F",0
224,0,0,0,0.000000," ","integrate((i*x+h)^2*(a+b*log(c*(e*x+d)^n))^2/(g*x+f),x, algorithm=""maxima"")","2 \, a^{2} h i {\left(\frac{x}{g} - \frac{f \log\left(g x + f\right)}{g^{2}}\right)} + \frac{1}{2} \, a^{2} i^{2} {\left(\frac{2 \, f^{2} \log\left(g x + f\right)}{g^{3}} + \frac{g x^{2} - 2 \, f x}{g^{2}}\right)} + \frac{a^{2} h^{2} \log\left(g x + f\right)}{g} + \int \frac{b^{2} h^{2} \log\left(c\right)^{2} + 2 \, a b h^{2} \log\left(c\right) + {\left(b^{2} i^{2} \log\left(c\right)^{2} + 2 \, a b i^{2} \log\left(c\right)\right)} x^{2} + {\left(b^{2} i^{2} x^{2} + 2 \, b^{2} h i x + b^{2} h^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 2 \, {\left(b^{2} h i \log\left(c\right)^{2} + 2 \, a b h i \log\left(c\right)\right)} x + 2 \, {\left(b^{2} h^{2} \log\left(c\right) + a b h^{2} + {\left(b^{2} i^{2} \log\left(c\right) + a b i^{2}\right)} x^{2} + 2 \, {\left(b^{2} h i \log\left(c\right) + a b h i\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x + f}\,{d x}"," ",0,"2*a^2*h*i*(x/g - f*log(g*x + f)/g^2) + 1/2*a^2*i^2*(2*f^2*log(g*x + f)/g^3 + (g*x^2 - 2*f*x)/g^2) + a^2*h^2*log(g*x + f)/g + integrate((b^2*h^2*log(c)^2 + 2*a*b*h^2*log(c) + (b^2*i^2*log(c)^2 + 2*a*b*i^2*log(c))*x^2 + (b^2*i^2*x^2 + 2*b^2*h*i*x + b^2*h^2)*log((e*x + d)^n)^2 + 2*(b^2*h*i*log(c)^2 + 2*a*b*h*i*log(c))*x + 2*(b^2*h^2*log(c) + a*b*h^2 + (b^2*i^2*log(c) + a*b*i^2)*x^2 + 2*(b^2*h*i*log(c) + a*b*h*i)*x)*log((e*x + d)^n))/(g*x + f), x)","F",0
225,0,0,0,0.000000," ","integrate((i*x+h)*(a+b*log(c*(e*x+d)^n))^2/(g*x+f),x, algorithm=""maxima"")","a^{2} i {\left(\frac{x}{g} - \frac{f \log\left(g x + f\right)}{g^{2}}\right)} + \frac{a^{2} h \log\left(g x + f\right)}{g} + \int \frac{b^{2} h \log\left(c\right)^{2} + 2 \, a b h \log\left(c\right) + {\left(b^{2} i x + b^{2} h\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + {\left(b^{2} i \log\left(c\right)^{2} + 2 \, a b i \log\left(c\right)\right)} x + 2 \, {\left(b^{2} h \log\left(c\right) + a b h + {\left(b^{2} i \log\left(c\right) + a b i\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x + f}\,{d x}"," ",0,"a^2*i*(x/g - f*log(g*x + f)/g^2) + a^2*h*log(g*x + f)/g + integrate((b^2*h*log(c)^2 + 2*a*b*h*log(c) + (b^2*i*x + b^2*h)*log((e*x + d)^n)^2 + (b^2*i*log(c)^2 + 2*a*b*i*log(c))*x + 2*(b^2*h*log(c) + a*b*h + (b^2*i*log(c) + a*b*i)*x)*log((e*x + d)^n))/(g*x + f), x)","F",0
226,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f),x, algorithm=""maxima"")","\frac{a^{2} \log\left(g x + f\right)}{g} + \int \frac{b^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x + f}\,{d x}"," ",0,"a^2*log(g*x + f)/g + integrate((b^2*log((e*x + d)^n)^2 + b^2*log(c)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log((e*x + d)^n))/(g*x + f), x)","F",0
227,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)/(i*x+h),x, algorithm=""maxima"")","a^{2} {\left(\frac{\log\left(g x + f\right)}{g h - f i} - \frac{\log\left(i x + h\right)}{g h - f i}\right)} + \int \frac{b^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g i x^{2} + f h + {\left(g h + f i\right)} x}\,{d x}"," ",0,"a^2*(log(g*x + f)/(g*h - f*i) - log(i*x + h)/(g*h - f*i)) + integrate((b^2*log((e*x + d)^n)^2 + b^2*log(c)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log((e*x + d)^n))/(g*i*x^2 + f*h + (g*h + f*i)*x), x)","F",0
228,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)/(i*x+h)^2,x, algorithm=""maxima"")","a^{2} {\left(\frac{g \log\left(g x + f\right)}{g^{2} h^{2} - 2 \, f g h i + f^{2} i^{2}} - \frac{g \log\left(i x + h\right)}{g^{2} h^{2} - 2 \, f g h i + f^{2} i^{2}} + \frac{1}{g h^{2} - f h i + {\left(g h i - f i^{2}\right)} x}\right)} + \int \frac{b^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g i^{2} x^{3} + f h^{2} + {\left(2 \, g h i + f i^{2}\right)} x^{2} + {\left(g h^{2} + 2 \, f h i\right)} x}\,{d x}"," ",0,"a^2*(g*log(g*x + f)/(g^2*h^2 - 2*f*g*h*i + f^2*i^2) - g*log(i*x + h)/(g^2*h^2 - 2*f*g*h*i + f^2*i^2) + 1/(g*h^2 - f*h*i + (g*h*i - f*i^2)*x)) + integrate((b^2*log((e*x + d)^n)^2 + b^2*log(c)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log((e*x + d)^n))/(g*i^2*x^3 + f*h^2 + (2*g*h*i + f*i^2)*x^2 + (g*h^2 + 2*f*h*i)*x), x)","F",0
229,0,0,0,0.000000," ","integrate((i*x+h)^2*(a+b*log(c*(e*x+d)^n))^3/(g*x+f),x, algorithm=""maxima"")","2 \, a^{3} h i {\left(\frac{x}{g} - \frac{f \log\left(g x + f\right)}{g^{2}}\right)} + \frac{1}{2} \, a^{3} i^{2} {\left(\frac{2 \, f^{2} \log\left(g x + f\right)}{g^{3}} + \frac{g x^{2} - 2 \, f x}{g^{2}}\right)} + \frac{a^{3} h^{2} \log\left(g x + f\right)}{g} + \int \frac{b^{3} h^{2} \log\left(c\right)^{3} + 3 \, a b^{2} h^{2} \log\left(c\right)^{2} + 3 \, a^{2} b h^{2} \log\left(c\right) + {\left(b^{3} i^{2} x^{2} + 2 \, b^{3} h i x + b^{3} h^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)^{3} + {\left(b^{3} i^{2} \log\left(c\right)^{3} + 3 \, a b^{2} i^{2} \log\left(c\right)^{2} + 3 \, a^{2} b i^{2} \log\left(c\right)\right)} x^{2} + 3 \, {\left(b^{3} h^{2} \log\left(c\right) + a b^{2} h^{2} + {\left(b^{3} i^{2} \log\left(c\right) + a b^{2} i^{2}\right)} x^{2} + 2 \, {\left(b^{3} h i \log\left(c\right) + a b^{2} h i\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 2 \, {\left(b^{3} h i \log\left(c\right)^{3} + 3 \, a b^{2} h i \log\left(c\right)^{2} + 3 \, a^{2} b h i \log\left(c\right)\right)} x + 3 \, {\left(b^{3} h^{2} \log\left(c\right)^{2} + 2 \, a b^{2} h^{2} \log\left(c\right) + a^{2} b h^{2} + {\left(b^{3} i^{2} \log\left(c\right)^{2} + 2 \, a b^{2} i^{2} \log\left(c\right) + a^{2} b i^{2}\right)} x^{2} + 2 \, {\left(b^{3} h i \log\left(c\right)^{2} + 2 \, a b^{2} h i \log\left(c\right) + a^{2} b h i\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x + f}\,{d x}"," ",0,"2*a^3*h*i*(x/g - f*log(g*x + f)/g^2) + 1/2*a^3*i^2*(2*f^2*log(g*x + f)/g^3 + (g*x^2 - 2*f*x)/g^2) + a^3*h^2*log(g*x + f)/g + integrate((b^3*h^2*log(c)^3 + 3*a*b^2*h^2*log(c)^2 + 3*a^2*b*h^2*log(c) + (b^3*i^2*x^2 + 2*b^3*h*i*x + b^3*h^2)*log((e*x + d)^n)^3 + (b^3*i^2*log(c)^3 + 3*a*b^2*i^2*log(c)^2 + 3*a^2*b*i^2*log(c))*x^2 + 3*(b^3*h^2*log(c) + a*b^2*h^2 + (b^3*i^2*log(c) + a*b^2*i^2)*x^2 + 2*(b^3*h*i*log(c) + a*b^2*h*i)*x)*log((e*x + d)^n)^2 + 2*(b^3*h*i*log(c)^3 + 3*a*b^2*h*i*log(c)^2 + 3*a^2*b*h*i*log(c))*x + 3*(b^3*h^2*log(c)^2 + 2*a*b^2*h^2*log(c) + a^2*b*h^2 + (b^3*i^2*log(c)^2 + 2*a*b^2*i^2*log(c) + a^2*b*i^2)*x^2 + 2*(b^3*h*i*log(c)^2 + 2*a*b^2*h*i*log(c) + a^2*b*h*i)*x)*log((e*x + d)^n))/(g*x + f), x)","F",0
230,0,0,0,0.000000," ","integrate((i*x+h)*(a+b*log(c*(e*x+d)^n))^3/(g*x+f),x, algorithm=""maxima"")","a^{3} i {\left(\frac{x}{g} - \frac{f \log\left(g x + f\right)}{g^{2}}\right)} + \frac{a^{3} h \log\left(g x + f\right)}{g} + \int \frac{b^{3} h \log\left(c\right)^{3} + 3 \, a b^{2} h \log\left(c\right)^{2} + 3 \, a^{2} b h \log\left(c\right) + {\left(b^{3} i x + b^{3} h\right)} \log\left({\left(e x + d\right)}^{n}\right)^{3} + 3 \, {\left(b^{3} h \log\left(c\right) + a b^{2} h + {\left(b^{3} i \log\left(c\right) + a b^{2} i\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + {\left(b^{3} i \log\left(c\right)^{3} + 3 \, a b^{2} i \log\left(c\right)^{2} + 3 \, a^{2} b i \log\left(c\right)\right)} x + 3 \, {\left(b^{3} h \log\left(c\right)^{2} + 2 \, a b^{2} h \log\left(c\right) + a^{2} b h + {\left(b^{3} i \log\left(c\right)^{2} + 2 \, a b^{2} i \log\left(c\right) + a^{2} b i\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x + f}\,{d x}"," ",0,"a^3*i*(x/g - f*log(g*x + f)/g^2) + a^3*h*log(g*x + f)/g + integrate((b^3*h*log(c)^3 + 3*a*b^2*h*log(c)^2 + 3*a^2*b*h*log(c) + (b^3*i*x + b^3*h)*log((e*x + d)^n)^3 + 3*(b^3*h*log(c) + a*b^2*h + (b^3*i*log(c) + a*b^2*i)*x)*log((e*x + d)^n)^2 + (b^3*i*log(c)^3 + 3*a*b^2*i*log(c)^2 + 3*a^2*b*i*log(c))*x + 3*(b^3*h*log(c)^2 + 2*a*b^2*h*log(c) + a^2*b*h + (b^3*i*log(c)^2 + 2*a*b^2*i*log(c) + a^2*b*i)*x)*log((e*x + d)^n))/(g*x + f), x)","F",0
231,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f),x, algorithm=""maxima"")","\frac{a^{3} \log\left(g x + f\right)}{g} + \int \frac{b^{3} \log\left({\left(e x + d\right)}^{n}\right)^{3} + b^{3} \log\left(c\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + 3 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} + 2 \, a b^{2} \log\left(c\right) + a^{2} b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x + f}\,{d x}"," ",0,"a^3*log(g*x + f)/g + integrate((b^3*log((e*x + d)^n)^3 + b^3*log(c)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + 3*(b^3*log(c) + a*b^2)*log((e*x + d)^n)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log((e*x + d)^n))/(g*x + f), x)","F",0
232,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f)/(i*x+h),x, algorithm=""maxima"")","a^{3} {\left(\frac{\log\left(g x + f\right)}{g h - f i} - \frac{\log\left(i x + h\right)}{g h - f i}\right)} + \int \frac{b^{3} \log\left({\left(e x + d\right)}^{n}\right)^{3} + b^{3} \log\left(c\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + 3 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} + 2 \, a b^{2} \log\left(c\right) + a^{2} b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g i x^{2} + f h + {\left(g h + f i\right)} x}\,{d x}"," ",0,"a^3*(log(g*x + f)/(g*h - f*i) - log(i*x + h)/(g*h - f*i)) + integrate((b^3*log((e*x + d)^n)^3 + b^3*log(c)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + 3*(b^3*log(c) + a*b^2)*log((e*x + d)^n)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log((e*x + d)^n))/(g*i*x^2 + f*h + (g*h + f*i)*x), x)","F",0
233,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f)/(i*x+h)^2,x, algorithm=""maxima"")","a^{3} {\left(\frac{g \log\left(g x + f\right)}{g^{2} h^{2} - 2 \, f g h i + f^{2} i^{2}} - \frac{g \log\left(i x + h\right)}{g^{2} h^{2} - 2 \, f g h i + f^{2} i^{2}} + \frac{1}{g h^{2} - f h i + {\left(g h i - f i^{2}\right)} x}\right)} + \int \frac{b^{3} \log\left({\left(e x + d\right)}^{n}\right)^{3} + b^{3} \log\left(c\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + 3 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} + 2 \, a b^{2} \log\left(c\right) + a^{2} b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g i^{2} x^{3} + f h^{2} + {\left(2 \, g h i + f i^{2}\right)} x^{2} + {\left(g h^{2} + 2 \, f h i\right)} x}\,{d x}"," ",0,"a^3*(g*log(g*x + f)/(g^2*h^2 - 2*f*g*h*i + f^2*i^2) - g*log(i*x + h)/(g^2*h^2 - 2*f*g*h*i + f^2*i^2) + 1/(g*h^2 - f*h*i + (g*h*i - f*i^2)*x)) + integrate((b^3*log((e*x + d)^n)^3 + b^3*log(c)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + 3*(b^3*log(c) + a*b^2)*log((e*x + d)^n)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log((e*x + d)^n))/(g*i^2*x^3 + f*h^2 + (2*g*h*i + f*i^2)*x^2 + (g*h^2 + 2*f*h*i)*x), x)","F",0
234,0,0,0,0.000000," ","integrate((i*x+h)/(g*x+f)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\int \frac{i x + h}{{\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}\,{d x}"," ",0,"integrate((i*x + h)/((g*x + f)*(b*log((e*x + d)^n*c) + a)), x)","F",0
235,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(b*log((e*x + d)^n*c) + a)), x)","F",0
236,0,0,0,0.000000," ","integrate(1/(g*x+f)/(i*x+h)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(g x + f\right)} {\left(i x + h\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(i*x + h)*(b*log((e*x + d)^n*c) + a)), x)","F",0
237,0,0,0,0.000000," ","integrate(1/(g*x+f)/(i*x+h)^2/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(g x + f\right)} {\left(i x + h\right)}^{2} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(i*x + h)^2*(b*log((e*x + d)^n*c) + a)), x)","F",0
238,0,0,0,0.000000," ","integrate((i*x+h)/(g*x+f)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-\frac{e i x^{2} + d h + {\left(e h + d i\right)} x}{b^{2} e f n \log\left(c\right) + a b e f n + {\left(b^{2} e g n \log\left(c\right) + a b e g n\right)} x + {\left(b^{2} e g n x + b^{2} e f n\right)} \log\left({\left(e x + d\right)}^{n}\right)} + \int \frac{e g i x^{2} + 2 \, e f i x + e f h - {\left(g h - f i\right)} d}{b^{2} e f^{2} n \log\left(c\right) + a b e f^{2} n + {\left(b^{2} e g^{2} n \log\left(c\right) + a b e g^{2} n\right)} x^{2} + 2 \, {\left(b^{2} e f g n \log\left(c\right) + a b e f g n\right)} x + {\left(b^{2} e g^{2} n x^{2} + 2 \, b^{2} e f g n x + b^{2} e f^{2} n\right)} \log\left({\left(e x + d\right)}^{n}\right)}\,{d x}"," ",0,"-(e*i*x^2 + d*h + (e*h + d*i)*x)/(b^2*e*f*n*log(c) + a*b*e*f*n + (b^2*e*g*n*log(c) + a*b*e*g*n)*x + (b^2*e*g*n*x + b^2*e*f*n)*log((e*x + d)^n)) + integrate((e*g*i*x^2 + 2*e*f*i*x + e*f*h - (g*h - f*i)*d)/(b^2*e*f^2*n*log(c) + a*b*e*f^2*n + (b^2*e*g^2*n*log(c) + a*b*e*g^2*n)*x^2 + 2*(b^2*e*f*g*n*log(c) + a*b*e*f*g*n)*x + (b^2*e*g^2*n*x^2 + 2*b^2*e*f*g*n*x + b^2*e*f^2*n)*log((e*x + d)^n)), x)","F",0
239,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","{\left(e f - d g\right)} \int \frac{1}{b^{2} e f^{2} n \log\left(c\right) + a b e f^{2} n + {\left(b^{2} e g^{2} n \log\left(c\right) + a b e g^{2} n\right)} x^{2} + 2 \, {\left(b^{2} e f g n \log\left(c\right) + a b e f g n\right)} x + {\left(b^{2} e g^{2} n x^{2} + 2 \, b^{2} e f g n x + b^{2} e f^{2} n\right)} \log\left({\left(e x + d\right)}^{n}\right)}\,{d x} - \frac{e x + d}{b^{2} e f n \log\left(c\right) + a b e f n + {\left(b^{2} e g n \log\left(c\right) + a b e g n\right)} x + {\left(b^{2} e g n x + b^{2} e f n\right)} \log\left({\left(e x + d\right)}^{n}\right)}"," ",0,"(e*f - d*g)*integrate(1/(b^2*e*f^2*n*log(c) + a*b*e*f^2*n + (b^2*e*g^2*n*log(c) + a*b*e*g^2*n)*x^2 + 2*(b^2*e*f*g*n*log(c) + a*b*e*f*g*n)*x + (b^2*e*g^2*n*x^2 + 2*b^2*e*f*g*n*x + b^2*e*f^2*n)*log((e*x + d)^n)), x) - (e*x + d)/(b^2*e*f*n*log(c) + a*b*e*f*n + (b^2*e*g*n*log(c) + a*b*e*g*n)*x + (b^2*e*g*n*x + b^2*e*f*n)*log((e*x + d)^n))","F",0
240,0,0,0,0.000000," ","integrate(1/(g*x+f)/(i*x+h)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-\frac{e x + d}{b^{2} e f h n \log\left(c\right) + a b e f h n + {\left(b^{2} e g i n \log\left(c\right) + a b e g i n\right)} x^{2} + {\left({\left(g h n + f i n\right)} b^{2} e \log\left(c\right) + {\left(g h n + f i n\right)} a b e\right)} x + {\left(b^{2} e g i n x^{2} + b^{2} e f h n + {\left(g h n + f i n\right)} b^{2} e x\right)} \log\left({\left(e x + d\right)}^{n}\right)} - \int \frac{e g i x^{2} + 2 \, d g i x - e f h + {\left(g h + f i\right)} d}{b^{2} e f^{2} h^{2} n \log\left(c\right) + a b e f^{2} h^{2} n + {\left(b^{2} e g^{2} i^{2} n \log\left(c\right) + a b e g^{2} i^{2} n\right)} x^{4} + 2 \, {\left({\left(g^{2} h i n + f g i^{2} n\right)} b^{2} e \log\left(c\right) + {\left(g^{2} h i n + f g i^{2} n\right)} a b e\right)} x^{3} + {\left({\left(g^{2} h^{2} n + 4 \, f g h i n + f^{2} i^{2} n\right)} b^{2} e \log\left(c\right) + {\left(g^{2} h^{2} n + 4 \, f g h i n + f^{2} i^{2} n\right)} a b e\right)} x^{2} + 2 \, {\left({\left(f g h^{2} n + f^{2} h i n\right)} b^{2} e \log\left(c\right) + {\left(f g h^{2} n + f^{2} h i n\right)} a b e\right)} x + {\left(b^{2} e g^{2} i^{2} n x^{4} + b^{2} e f^{2} h^{2} n + 2 \, {\left(g^{2} h i n + f g i^{2} n\right)} b^{2} e x^{3} + {\left(g^{2} h^{2} n + 4 \, f g h i n + f^{2} i^{2} n\right)} b^{2} e x^{2} + 2 \, {\left(f g h^{2} n + f^{2} h i n\right)} b^{2} e x\right)} \log\left({\left(e x + d\right)}^{n}\right)}\,{d x}"," ",0,"-(e*x + d)/(b^2*e*f*h*n*log(c) + a*b*e*f*h*n + (b^2*e*g*i*n*log(c) + a*b*e*g*i*n)*x^2 + ((g*h*n + f*i*n)*b^2*e*log(c) + (g*h*n + f*i*n)*a*b*e)*x + (b^2*e*g*i*n*x^2 + b^2*e*f*h*n + (g*h*n + f*i*n)*b^2*e*x)*log((e*x + d)^n)) - integrate((e*g*i*x^2 + 2*d*g*i*x - e*f*h + (g*h + f*i)*d)/(b^2*e*f^2*h^2*n*log(c) + a*b*e*f^2*h^2*n + (b^2*e*g^2*i^2*n*log(c) + a*b*e*g^2*i^2*n)*x^4 + 2*((g^2*h*i*n + f*g*i^2*n)*b^2*e*log(c) + (g^2*h*i*n + f*g*i^2*n)*a*b*e)*x^3 + ((g^2*h^2*n + 4*f*g*h*i*n + f^2*i^2*n)*b^2*e*log(c) + (g^2*h^2*n + 4*f*g*h*i*n + f^2*i^2*n)*a*b*e)*x^2 + 2*((f*g*h^2*n + f^2*h*i*n)*b^2*e*log(c) + (f*g*h^2*n + f^2*h*i*n)*a*b*e)*x + (b^2*e*g^2*i^2*n*x^4 + b^2*e*f^2*h^2*n + 2*(g^2*h*i*n + f*g*i^2*n)*b^2*e*x^3 + (g^2*h^2*n + 4*f*g*h*i*n + f^2*i^2*n)*b^2*e*x^2 + 2*(f*g*h^2*n + f^2*h*i*n)*b^2*e*x)*log((e*x + d)^n)), x)","F",0
241,0,0,0,0.000000," ","integrate(1/(g*x+f)/(i*x+h)^2/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-\frac{e x + d}{b^{2} e f h^{2} n \log\left(c\right) + a b e f h^{2} n + {\left(b^{2} e g i^{2} n \log\left(c\right) + a b e g i^{2} n\right)} x^{3} + {\left({\left(2 \, g h i n + f i^{2} n\right)} b^{2} e \log\left(c\right) + {\left(2 \, g h i n + f i^{2} n\right)} a b e\right)} x^{2} + {\left({\left(g h^{2} n + 2 \, f h i n\right)} b^{2} e \log\left(c\right) + {\left(g h^{2} n + 2 \, f h i n\right)} a b e\right)} x + {\left(b^{2} e g i^{2} n x^{3} + b^{2} e f h^{2} n + {\left(2 \, g h i n + f i^{2} n\right)} b^{2} e x^{2} + {\left(g h^{2} n + 2 \, f h i n\right)} b^{2} e x\right)} \log\left({\left(e x + d\right)}^{n}\right)} - \int \frac{2 \, e g i x^{2} - e f h + {\left(g h + 2 \, f i\right)} d + {\left(e f i + 3 \, d g i\right)} x}{b^{2} e f^{2} h^{3} n \log\left(c\right) + a b e f^{2} h^{3} n + {\left(b^{2} e g^{2} i^{3} n \log\left(c\right) + a b e g^{2} i^{3} n\right)} x^{5} + {\left({\left(3 \, g^{2} h i^{2} n + 2 \, f g i^{3} n\right)} b^{2} e \log\left(c\right) + {\left(3 \, g^{2} h i^{2} n + 2 \, f g i^{3} n\right)} a b e\right)} x^{4} + {\left({\left(3 \, g^{2} h^{2} i n + 6 \, f g h i^{2} n + f^{2} i^{3} n\right)} b^{2} e \log\left(c\right) + {\left(3 \, g^{2} h^{2} i n + 6 \, f g h i^{2} n + f^{2} i^{3} n\right)} a b e\right)} x^{3} + {\left({\left(g^{2} h^{3} n + 6 \, f g h^{2} i n + 3 \, f^{2} h i^{2} n\right)} b^{2} e \log\left(c\right) + {\left(g^{2} h^{3} n + 6 \, f g h^{2} i n + 3 \, f^{2} h i^{2} n\right)} a b e\right)} x^{2} + {\left({\left(2 \, f g h^{3} n + 3 \, f^{2} h^{2} i n\right)} b^{2} e \log\left(c\right) + {\left(2 \, f g h^{3} n + 3 \, f^{2} h^{2} i n\right)} a b e\right)} x + {\left(b^{2} e g^{2} i^{3} n x^{5} + b^{2} e f^{2} h^{3} n + {\left(3 \, g^{2} h i^{2} n + 2 \, f g i^{3} n\right)} b^{2} e x^{4} + {\left(3 \, g^{2} h^{2} i n + 6 \, f g h i^{2} n + f^{2} i^{3} n\right)} b^{2} e x^{3} + {\left(g^{2} h^{3} n + 6 \, f g h^{2} i n + 3 \, f^{2} h i^{2} n\right)} b^{2} e x^{2} + {\left(2 \, f g h^{3} n + 3 \, f^{2} h^{2} i n\right)} b^{2} e x\right)} \log\left({\left(e x + d\right)}^{n}\right)}\,{d x}"," ",0,"-(e*x + d)/(b^2*e*f*h^2*n*log(c) + a*b*e*f*h^2*n + (b^2*e*g*i^2*n*log(c) + a*b*e*g*i^2*n)*x^3 + ((2*g*h*i*n + f*i^2*n)*b^2*e*log(c) + (2*g*h*i*n + f*i^2*n)*a*b*e)*x^2 + ((g*h^2*n + 2*f*h*i*n)*b^2*e*log(c) + (g*h^2*n + 2*f*h*i*n)*a*b*e)*x + (b^2*e*g*i^2*n*x^3 + b^2*e*f*h^2*n + (2*g*h*i*n + f*i^2*n)*b^2*e*x^2 + (g*h^2*n + 2*f*h*i*n)*b^2*e*x)*log((e*x + d)^n)) - integrate((2*e*g*i*x^2 - e*f*h + (g*h + 2*f*i)*d + (e*f*i + 3*d*g*i)*x)/(b^2*e*f^2*h^3*n*log(c) + a*b*e*f^2*h^3*n + (b^2*e*g^2*i^3*n*log(c) + a*b*e*g^2*i^3*n)*x^5 + ((3*g^2*h*i^2*n + 2*f*g*i^3*n)*b^2*e*log(c) + (3*g^2*h*i^2*n + 2*f*g*i^3*n)*a*b*e)*x^4 + ((3*g^2*h^2*i*n + 6*f*g*h*i^2*n + f^2*i^3*n)*b^2*e*log(c) + (3*g^2*h^2*i*n + 6*f*g*h*i^2*n + f^2*i^3*n)*a*b*e)*x^3 + ((g^2*h^3*n + 6*f*g*h^2*i*n + 3*f^2*h*i^2*n)*b^2*e*log(c) + (g^2*h^3*n + 6*f*g*h^2*i*n + 3*f^2*h*i^2*n)*a*b*e)*x^2 + ((2*f*g*h^3*n + 3*f^2*h^2*i*n)*b^2*e*log(c) + (2*f*g*h^3*n + 3*f^2*h^2*i*n)*a*b*e)*x + (b^2*e*g^2*i^3*n*x^5 + b^2*e*f^2*h^3*n + (3*g^2*h*i^2*n + 2*f*g*i^3*n)*b^2*e*x^4 + (3*g^2*h^2*i*n + 6*f*g*h*i^2*n + f^2*i^3*n)*b^2*e*x^3 + (g^2*h^3*n + 6*f*g*h^2*i*n + 3*f^2*h*i^2*n)*b^2*e*x^2 + (2*f*g*h^3*n + 3*f^2*h^2*i*n)*b^2*e*x)*log((e*x + d)^n)), x)","F",0
242,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""maxima"")","-\frac{1}{6} \, a {\left(\frac{6 \, f^{3} \log\left(g x + f\right)}{g^{4}} - \frac{2 \, g^{2} x^{3} - 3 \, f g x^{2} + 6 \, f^{2} x}{g^{3}}\right)} + b \int \frac{x^{3} \log\left({\left(e x + d\right)}^{n}\right) + x^{3} \log\left(c\right)}{g x + f}\,{d x}"," ",0,"-1/6*a*(6*f^3*log(g*x + f)/g^4 - (2*g^2*x^3 - 3*f*g*x^2 + 6*f^2*x)/g^3) + b*integrate((x^3*log((e*x + d)^n) + x^3*log(c))/(g*x + f), x)","F",0
243,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{2 \, f^{2} \log\left(g x + f\right)}{g^{3}} + \frac{g x^{2} - 2 \, f x}{g^{2}}\right)} + b \int \frac{x^{2} \log\left({\left(e x + d\right)}^{n}\right) + x^{2} \log\left(c\right)}{g x + f}\,{d x}"," ",0,"1/2*a*(2*f^2*log(g*x + f)/g^3 + (g*x^2 - 2*f*x)/g^2) + b*integrate((x^2*log((e*x + d)^n) + x^2*log(c))/(g*x + f), x)","F",0
244,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""maxima"")","a {\left(\frac{x}{g} - \frac{f \log\left(g x + f\right)}{g^{2}}\right)} + b \int \frac{x \log\left({\left(e x + d\right)}^{n}\right) + x \log\left(c\right)}{g x + f}\,{d x}"," ",0,"a*(x/g - f*log(g*x + f)/g^2) + b*integrate((x*log((e*x + d)^n) + x*log(c))/(g*x + f), x)","F",0
245,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""maxima"")","b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g x + f}\,{d x} + \frac{a \log\left(g x + f\right)}{g}"," ",0,"b*integrate((log((e*x + d)^n) + log(c))/(g*x + f), x) + a*log(g*x + f)/g","F",0
246,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x/(g*x+f),x, algorithm=""maxima"")","-a {\left(\frac{\log\left(g x + f\right)}{f} - \frac{\log\left(x\right)}{f}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g x^{2} + f x}\,{d x}"," ",0,"-a*(log(g*x + f)/f - log(x)/f) + b*integrate((log((e*x + d)^n) + log(c))/(g*x^2 + f*x), x)","F",0
247,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^2/(g*x+f),x, algorithm=""maxima"")","a {\left(\frac{g \log\left(g x + f\right)}{f^{2}} - \frac{g \log\left(x\right)}{f^{2}} - \frac{1}{f x}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g x^{3} + f x^{2}}\,{d x}"," ",0,"a*(g*log(g*x + f)/f^2 - g*log(x)/f^2 - 1/(f*x)) + b*integrate((log((e*x + d)^n) + log(c))/(g*x^3 + f*x^2), x)","F",0
248,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^3/(g*x+f),x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{2 \, g^{2} \log\left(g x + f\right)}{f^{3}} - \frac{2 \, g^{2} \log\left(x\right)}{f^{3}} - \frac{2 \, g x - f}{f^{2} x^{2}}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g x^{4} + f x^{3}}\,{d x}"," ",0,"-1/2*a*(2*g^2*log(g*x + f)/f^3 - 2*g^2*log(x)/f^3 - (2*g*x - f)/(f^2*x^2)) + b*integrate((log((e*x + d)^n) + log(c))/(g*x^4 + f*x^3), x)","F",0
249,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))/(g*x+f)^2,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{2 \, f^{3}}{g^{5} x + f g^{4}} + \frac{6 \, f^{2} \log\left(g x + f\right)}{g^{4}} + \frac{g x^{2} - 4 \, f x}{g^{3}}\right)} a + b \int \frac{x^{3} \log\left({\left(e x + d\right)}^{n}\right) + x^{3} \log\left(c\right)}{g^{2} x^{2} + 2 \, f g x + f^{2}}\,{d x}"," ",0,"1/2*(2*f^3/(g^5*x + f*g^4) + 6*f^2*log(g*x + f)/g^4 + (g*x^2 - 4*f*x)/g^3)*a + b*integrate((x^3*log((e*x + d)^n) + x^3*log(c))/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
250,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))/(g*x+f)^2,x, algorithm=""maxima"")","-a {\left(\frac{f^{2}}{g^{4} x + f g^{3}} - \frac{x}{g^{2}} + \frac{2 \, f \log\left(g x + f\right)}{g^{3}}\right)} + b \int \frac{x^{2} \log\left({\left(e x + d\right)}^{n}\right) + x^{2} \log\left(c\right)}{g^{2} x^{2} + 2 \, f g x + f^{2}}\,{d x}"," ",0,"-a*(f^2/(g^4*x + f*g^3) - x/g^2 + 2*f*log(g*x + f)/g^3) + b*integrate((x^2*log((e*x + d)^n) + x^2*log(c))/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
251,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))/(g*x+f)^2,x, algorithm=""maxima"")","a {\left(\frac{f}{g^{3} x + f g^{2}} + \frac{\log\left(g x + f\right)}{g^{2}}\right)} + b \int \frac{x \log\left({\left(e x + d\right)}^{n}\right) + x \log\left(c\right)}{g^{2} x^{2} + 2 \, f g x + f^{2}}\,{d x}"," ",0,"a*(f/(g^3*x + f*g^2) + log(g*x + f)/g^2) + b*integrate((x*log((e*x + d)^n) + x*log(c))/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
252,1,85,0,0.479102," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^2,x, algorithm=""maxima"")","b e n {\left(\frac{\log\left(e x + d\right)}{e f g - d g^{2}} - \frac{\log\left(g x + f\right)}{e f g - d g^{2}}\right)} - \frac{b \log\left({\left(e x + d\right)}^{n} c\right)}{g^{2} x + f g} - \frac{a}{g^{2} x + f g}"," ",0,"b*e*n*(log(e*x + d)/(e*f*g - d*g^2) - log(g*x + f)/(e*f*g - d*g^2)) - b*log((e*x + d)^n*c)/(g^2*x + f*g) - a/(g^2*x + f*g)","A",0
253,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x/(g*x+f)^2,x, algorithm=""maxima"")","a {\left(\frac{1}{f g x + f^{2}} - \frac{\log\left(g x + f\right)}{f^{2}} + \frac{\log\left(x\right)}{f^{2}}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g^{2} x^{3} + 2 \, f g x^{2} + f^{2} x}\,{d x}"," ",0,"a*(1/(f*g*x + f^2) - log(g*x + f)/f^2 + log(x)/f^2) + b*integrate((log((e*x + d)^n) + log(c))/(g^2*x^3 + 2*f*g*x^2 + f^2*x), x)","F",0
254,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^2/(g*x+f)^2,x, algorithm=""maxima"")","-a {\left(\frac{2 \, g x + f}{f^{2} g x^{2} + f^{3} x} - \frac{2 \, g \log\left(g x + f\right)}{f^{3}} + \frac{2 \, g \log\left(x\right)}{f^{3}}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g^{2} x^{4} + 2 \, f g x^{3} + f^{2} x^{2}}\,{d x}"," ",0,"-a*((2*g*x + f)/(f^2*g*x^2 + f^3*x) - 2*g*log(g*x + f)/f^3 + 2*g*log(x)/f^3) + b*integrate((log((e*x + d)^n) + log(c))/(g^2*x^4 + 2*f*g*x^3 + f^2*x^2), x)","F",0
255,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^3/(g*x+f)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{6 \, g^{2} x^{2} + 3 \, f g x - f^{2}}{f^{3} g x^{3} + f^{4} x^{2}} - \frac{6 \, g^{2} \log\left(g x + f\right)}{f^{4}} + \frac{6 \, g^{2} \log\left(x\right)}{f^{4}}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g^{2} x^{5} + 2 \, f g x^{4} + f^{2} x^{3}}\,{d x}"," ",0,"1/2*a*((6*g^2*x^2 + 3*f*g*x - f^2)/(f^3*g*x^3 + f^4*x^2) - 6*g^2*log(g*x + f)/f^4 + 6*g^2*log(x)/f^4) + b*integrate((log((e*x + d)^n) + log(c))/(g^2*x^5 + 2*f*g*x^4 + f^2*x^3), x)","F",0
256,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""maxima"")","\frac{1}{4} \, a {\left(\frac{2 \, f^{2} \log\left(g x^{2} + f\right)}{g^{3}} + \frac{g x^{4} - 2 \, f x^{2}}{g^{2}}\right)} + b \int \frac{x^{5} \log\left({\left(e x + d\right)}^{n}\right) + x^{5} \log\left(c\right)}{g x^{2} + f}\,{d x}"," ",0,"1/4*a*(2*f^2*log(g*x^2 + f)/g^3 + (g*x^4 - 2*f*x^2)/g^2) + b*integrate((x^5*log((e*x + d)^n) + x^5*log(c))/(g*x^2 + f), x)","F",0
257,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{x^{2}}{g} - \frac{f \log\left(g x^{2} + f\right)}{g^{2}}\right)} + b \int \frac{x^{3} \log\left({\left(e x + d\right)}^{n}\right) + x^{3} \log\left(c\right)}{g x^{2} + f}\,{d x}"," ",0,"1/2*a*(x^2/g - f*log(g*x^2 + f)/g^2) + b*integrate((x^3*log((e*x + d)^n) + x^3*log(c))/(g*x^2 + f), x)","F",0
258,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""maxima"")","b \int \frac{x \log\left({\left(e x + d\right)}^{n}\right) + x \log\left(c\right)}{g x^{2} + f}\,{d x} + \frac{a \log\left(g x^{2} + f\right)}{2 \, g}"," ",0,"b*integrate((x*log((e*x + d)^n) + x*log(c))/(g*x^2 + f), x) + 1/2*a*log(g*x^2 + f)/g","F",0
259,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x/(g*x^2+f),x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{\log\left(g x^{2} + f\right)}{f} - \frac{2 \, \log\left(x\right)}{f}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g x^{3} + f x}\,{d x}"," ",0,"-1/2*a*(log(g*x^2 + f)/f - 2*log(x)/f) + b*integrate((log((e*x + d)^n) + log(c))/(g*x^3 + f*x), x)","F",0
260,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^3/(g*x^2+f),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{g \log\left(g x^{2} + f\right)}{f^{2}} - \frac{2 \, g \log\left(x\right)}{f^{2}} - \frac{1}{f x^{2}}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g x^{5} + f x^{3}}\,{d x}"," ",0,"1/2*a*(g*log(g*x^2 + f)/f^2 - 2*g*log(x)/f^2 - 1/(f*x^2)) + b*integrate((log((e*x + d)^n) + log(c))/(g*x^5 + f*x^3), x)","F",0
261,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""maxima"")","\frac{1}{3} \, a {\left(\frac{3 \, f^{2} \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} g^{2}} + \frac{g x^{3} - 3 \, f x}{g^{2}}\right)} + b \int \frac{x^{4} \log\left({\left(e x + d\right)}^{n}\right) + x^{4} \log\left(c\right)}{g x^{2} + f}\,{d x}"," ",0,"1/3*a*(3*f^2*arctan(g*x/sqrt(f*g))/(sqrt(f*g)*g^2) + (g*x^3 - 3*f*x)/g^2) + b*integrate((x^4*log((e*x + d)^n) + x^4*log(c))/(g*x^2 + f), x)","F",0
262,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""maxima"")","-a {\left(\frac{f \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} g} - \frac{x}{g}\right)} + b \int \frac{x^{2} \log\left({\left(e x + d\right)}^{n}\right) + x^{2} \log\left(c\right)}{g x^{2} + f}\,{d x}"," ",0,"-a*(f*arctan(g*x/sqrt(f*g))/(sqrt(f*g)*g) - x/g) + b*integrate((x^2*log((e*x + d)^n) + x^2*log(c))/(g*x^2 + f), x)","F",0
263,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""maxima"")","b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g x^{2} + f}\,{d x} + \frac{a \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g}}"," ",0,"b*integrate((log((e*x + d)^n) + log(c))/(g*x^2 + f), x) + a*arctan(g*x/sqrt(f*g))/sqrt(f*g)","F",0
264,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^2/(g*x^2+f),x, algorithm=""maxima"")","-a {\left(\frac{g \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} f} + \frac{1}{f x}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g x^{4} + f x^{2}}\,{d x}"," ",0,"-a*(g*arctan(g*x/sqrt(f*g))/(sqrt(f*g)*f) + 1/(f*x)) + b*integrate((log((e*x + d)^n) + log(c))/(g*x^4 + f*x^2), x)","F",0
265,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^4/(g*x^2+f),x, algorithm=""maxima"")","\frac{1}{3} \, a {\left(\frac{3 \, g^{2} \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} f^{2}} + \frac{3 \, g x^{2} - f}{f^{2} x^{3}}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g x^{6} + f x^{4}}\,{d x}"," ",0,"1/3*a*(3*g^2*arctan(g*x/sqrt(f*g))/(sqrt(f*g)*f^2) + (3*g*x^2 - f)/(f^2*x^3)) + b*integrate((log((e*x + d)^n) + log(c))/(g*x^6 + f*x^4), x)","F",0
266,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{f^{2}}{g^{4} x^{2} + f g^{3}} - \frac{x^{2}}{g^{2}} + \frac{2 \, f \log\left(g x^{2} + f\right)}{g^{3}}\right)} + b \int \frac{x^{5} \log\left({\left(e x + d\right)}^{n}\right) + x^{5} \log\left(c\right)}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}\,{d x}"," ",0,"-1/2*a*(f^2/(g^4*x^2 + f*g^3) - x^2/g^2 + 2*f*log(g*x^2 + f)/g^3) + b*integrate((x^5*log((e*x + d)^n) + x^5*log(c))/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
267,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{f}{g^{3} x^{2} + f g^{2}} + \frac{\log\left(g x^{2} + f\right)}{g^{2}}\right)} + b \int \frac{x^{3} \log\left({\left(e x + d\right)}^{n}\right) + x^{3} \log\left(c\right)}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}\,{d x}"," ",0,"1/2*a*(f/(g^3*x^2 + f*g^2) + log(g*x^2 + f)/g^2) + b*integrate((x^3*log((e*x + d)^n) + x^3*log(c))/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
268,1,130,0,1.053813," ","integrate(x*(a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""maxima"")","-\frac{1}{4} \, b e n {\left(\frac{e \log\left(g x^{2} + f\right)}{e^{2} f g + d^{2} g^{2}} - \frac{2 \, e \log\left(e x + d\right)}{e^{2} f g + d^{2} g^{2}} - \frac{2 \, d \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{{\left(e^{2} f + d^{2} g\right)} \sqrt{f g}}\right)} - \frac{b \log\left({\left(e x + d\right)}^{n} c\right)}{2 \, {\left(g^{2} x^{2} + f g\right)}} - \frac{a}{2 \, {\left(g^{2} x^{2} + f g\right)}}"," ",0,"-1/4*b*e*n*(e*log(g*x^2 + f)/(e^2*f*g + d^2*g^2) - 2*e*log(e*x + d)/(e^2*f*g + d^2*g^2) - 2*d*arctan(g*x/sqrt(f*g))/((e^2*f + d^2*g)*sqrt(f*g))) - 1/2*b*log((e*x + d)^n*c)/(g^2*x^2 + f*g) - 1/2*a/(g^2*x^2 + f*g)","A",0
269,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x/(g*x^2+f)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{1}{f g x^{2} + f^{2}} - \frac{\log\left(g x^{2} + f\right)}{f^{2}} + \frac{2 \, \log\left(x\right)}{f^{2}}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g^{2} x^{5} + 2 \, f g x^{3} + f^{2} x}\,{d x}"," ",0,"1/2*a*(1/(f*g*x^2 + f^2) - log(g*x^2 + f)/f^2 + 2*log(x)/f^2) + b*integrate((log((e*x + d)^n) + log(c))/(g^2*x^5 + 2*f*g*x^3 + f^2*x), x)","F",0
270,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^3/(g*x^2+f)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{2 \, g x^{2} + f}{f^{2} g x^{4} + f^{3} x^{2}} - \frac{2 \, g \log\left(g x^{2} + f\right)}{f^{3}} + \frac{4 \, g \log\left(x\right)}{f^{3}}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g^{2} x^{7} + 2 \, f g x^{5} + f^{2} x^{3}}\,{d x}"," ",0,"-1/2*a*((2*g*x^2 + f)/(f^2*g*x^4 + f^3*x^2) - 2*g*log(g*x^2 + f)/f^3 + 4*g*log(x)/f^3) + b*integrate((log((e*x + d)^n) + log(c))/(g^2*x^7 + 2*f*g*x^5 + f^2*x^3), x)","F",0
271,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{f x}{g^{3} x^{2} + f g^{2}} - \frac{3 \, f \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} g^{2}} + \frac{2 \, x}{g^{2}}\right)} + b \int \frac{x^{4} \log\left({\left(e x + d\right)}^{n}\right) + x^{4} \log\left(c\right)}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}\,{d x}"," ",0,"1/2*a*(f*x/(g^3*x^2 + f*g^2) - 3*f*arctan(g*x/sqrt(f*g))/(sqrt(f*g)*g^2) + 2*x/g^2) + b*integrate((x^4*log((e*x + d)^n) + x^4*log(c))/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
272,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{x}{g^{2} x^{2} + f g} - \frac{\arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} g}\right)} + b \int \frac{x^{2} \log\left({\left(e x + d\right)}^{n}\right) + x^{2} \log\left(c\right)}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}\,{d x}"," ",0,"-1/2*a*(x/(g^2*x^2 + f*g) - arctan(g*x/sqrt(f*g))/(sqrt(f*g)*g)) + b*integrate((x^2*log((e*x + d)^n) + x^2*log(c))/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
273,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{x}{f g x^{2} + f^{2}} + \frac{\arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} f}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}\,{d x}"," ",0,"1/2*a*(x/(f*g*x^2 + f^2) + arctan(g*x/sqrt(f*g))/(sqrt(f*g)*f)) + b*integrate((log((e*x + d)^n) + log(c))/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
274,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^2/(g*x^2+f)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{3 \, g x^{2} + 2 \, f}{f^{2} g x^{3} + f^{3} x} + \frac{3 \, g \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} f^{2}}\right)} + b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{g^{2} x^{6} + 2 \, f g x^{4} + f^{2} x^{2}}\,{d x}"," ",0,"-1/2*a*((3*g*x^2 + 2*f)/(f^2*g*x^3 + f^3*x) + 3*g*arctan(g*x/sqrt(f*g))/(sqrt(f*g)*f^2)) + b*integrate((log((e*x + d)^n) + log(c))/(g^2*x^6 + 2*f*g*x^4 + f^2*x^2), x)","F",0
275,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x^2+2)^(1/2),x, algorithm=""maxima"")","b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{\sqrt{g x^{2} + 2}}\,{d x} + \frac{a \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{2} \sqrt{g} x\right)}{\sqrt{g}}"," ",0,"b*integrate((log((e*x + d)^n) + log(c))/sqrt(g*x^2 + 2), x) + a*arcsinh(1/2*sqrt(2)*sqrt(g)*x)/sqrt(g)","F",0
276,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x^2+f)^(1/2),x, algorithm=""maxima"")","b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{\sqrt{g x^{2} + f}}\,{d x} + \frac{a \operatorname{arsinh}\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{g}}"," ",0,"b*integrate((log((e*x + d)^n) + log(c))/sqrt(g*x^2 + f), x) + a*arcsinh(g*x/sqrt(f*g))/sqrt(g)","F",0
277,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(-g*x+2)^(1/2)/(g*x+2)^(1/2),x, algorithm=""maxima"")","b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{\sqrt{g x + 2} \sqrt{-g x + 2}}\,{d x} + \frac{a \arcsin\left(\frac{1}{2} \, g x\right)}{g}"," ",0,"b*integrate((log((e*x + d)^n) + log(c))/(sqrt(g*x + 2)*sqrt(-g*x + 2)), x) + a*arcsin(1/2*g*x)/g","F",0
278,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(-g*x+f)^(1/2)/(g*x+f)^(1/2),x, algorithm=""maxima"")","b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{\sqrt{g x + f} \sqrt{-g x + f}}\,{d x} + \frac{a \arcsin\left(\frac{g x}{f}\right)}{g}"," ",0,"b*integrate((log((e*x + d)^n) + log(c))/(sqrt(g*x + f)*sqrt(-g*x + f)), x) + a*arcsin(g*x/f)/g","F",0
279,1,120,0,0.644414," ","integrate(log(2*e/(f*x+e))/(-f^2*x^2+e^2),x, algorithm=""maxima"")","\frac{1}{4} \, f {\left(\frac{\log\left(f x + e\right)^{2} - 2 \, \log\left(f x + e\right) \log\left(f x - e\right)}{e f^{2}} + \frac{2 \, {\left(\log\left(f x + e\right) \log\left(-\frac{f x + e}{2 \, e} + 1\right) + {\rm Li}_2\left(\frac{f x + e}{2 \, e}\right)\right)}}{e f^{2}}\right)} + \frac{1}{2} \, {\left(\frac{\log\left(f x + e\right)}{e f} - \frac{\log\left(f x - e\right)}{e f}\right)} \log\left(\frac{2 \, e}{f x + e}\right)"," ",0,"1/4*f*((log(f*x + e)^2 - 2*log(f*x + e)*log(f*x - e))/(e*f^2) + 2*(log(f*x + e)*log(-1/2*(f*x + e)/e + 1) + dilog(1/2*(f*x + e)/e))/(e*f^2)) + 1/2*(log(f*x + e)/(e*f) - log(f*x - e)/(e*f))*log(2*e/(f*x + e))","B",0
280,1,119,0,0.579583," ","integrate(log(e/(f*x+e))/(-f^2*x^2+e^2),x, algorithm=""maxima"")","\frac{1}{4} \, f {\left(\frac{\log\left(f x + e\right)^{2} - 2 \, \log\left(f x + e\right) \log\left(f x - e\right)}{e f^{2}} + \frac{2 \, {\left(\log\left(f x + e\right) \log\left(-\frac{f x + e}{2 \, e} + 1\right) + {\rm Li}_2\left(\frac{f x + e}{2 \, e}\right)\right)}}{e f^{2}}\right)} + \frac{1}{2} \, {\left(\frac{\log\left(f x + e\right)}{e f} - \frac{\log\left(f x - e\right)}{e f}\right)} \log\left(\frac{e}{f x + e}\right)"," ",0,"1/4*f*((log(f*x + e)^2 - 2*log(f*x + e)*log(f*x - e))/(e*f^2) + 2*(log(f*x + e)*log(-1/2*(f*x + e)/e + 1) + dilog(1/2*(f*x + e)/e))/(e*f^2)) + 1/2*(log(f*x + e)/(e*f) - log(f*x - e)/(e*f))*log(e/(f*x + e))","B",0
281,0,0,0,0.000000," ","integrate((a+b*log(2*e/(f*x+e)))/(-f^2*x^2+e^2),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{\log\left(f x + e\right)}{e f} - \frac{\log\left(f x - e\right)}{e f}\right)} + b \int -\frac{\log\left(2\right) - \log\left(f x + e\right) + \log\left(e\right)}{f^{2} x^{2} - e^{2}}\,{d x}"," ",0,"1/2*a*(log(f*x + e)/(e*f) - log(f*x - e)/(e*f)) + b*integrate(-(log(2) - log(f*x + e) + log(e))/(f^2*x^2 - e^2), x)","F",0
282,0,0,0,0.000000," ","integrate((a+b*log(e/(f*x+e)))/(-f^2*x^2+e^2),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{\log\left(f x + e\right)}{e f} - \frac{\log\left(f x - e\right)}{e f}\right)} + b \int \frac{\log\left(f x + e\right) - \log\left(e\right)}{f^{2} x^{2} - e^{2}}\,{d x}"," ",0,"1/2*a*(log(f*x + e)/(e*f) - log(f*x - e)/(e*f)) + b*integrate((log(f*x + e) - log(e))/(f^2*x^2 - e^2), x)","F",0
283,0,0,0,0.000000," ","integrate(x^5*log(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{x^{5} \log\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(x^5*log(d*x + c)/(b*x^3 + a), x)","F",0
284,0,0,0,0.000000," ","integrate(x^2*log(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{x^{2} \log\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(x^2*log(d*x + c)/(b*x^3 + a), x)","F",0
285,0,0,0,0.000000," ","integrate(log(d*x+c)/x/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\log\left(d x + c\right)}{{\left(b x^{3} + a\right)} x}\,{d x}"," ",0,"integrate(log(d*x + c)/((b*x^3 + a)*x), x)","F",0
286,0,0,0,0.000000," ","integrate(log(d*x+c)/x^4/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\log\left(d x + c\right)}{{\left(b x^{3} + a\right)} x^{4}}\,{d x}"," ",0,"integrate(log(d*x + c)/((b*x^3 + a)*x^4), x)","F",0
287,0,0,0,0.000000," ","integrate(x^4*log(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{x^{4} \log\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(x^4*log(d*x + c)/(b*x^3 + a), x)","F",0
288,0,0,0,0.000000," ","integrate(x^3*log(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{x^{3} \log\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(x^3*log(d*x + c)/(b*x^3 + a), x)","F",0
289,0,0,0,0.000000," ","integrate(x*log(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{x \log\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(x*log(d*x + c)/(b*x^3 + a), x)","F",0
290,0,0,0,0.000000," ","integrate(log(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\log\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(log(d*x + c)/(b*x^3 + a), x)","F",0
291,0,0,0,0.000000," ","integrate(log(d*x+c)/x^2/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\log\left(d x + c\right)}{{\left(b x^{3} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(log(d*x + c)/((b*x^3 + a)*x^2), x)","F",0
292,0,0,0,0.000000," ","integrate(log(d*x+c)/x^3/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{\log\left(d x + c\right)}{{\left(b x^{3} + a\right)} x^{3}}\,{d x}"," ",0,"integrate(log(d*x + c)/((b*x^3 + a)*x^3), x)","F",0
293,0,0,0,0.000000," ","integrate(x^7*log(d*x+c)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{x^{7} \log\left(d x + c\right)}{b x^{4} + a}\,{d x}"," ",0,"integrate(x^7*log(d*x + c)/(b*x^4 + a), x)","F",0
294,0,0,0,0.000000," ","integrate(x^3*log(d*x+c)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{x^{3} \log\left(d x + c\right)}{b x^{4} + a}\,{d x}"," ",0,"integrate(x^3*log(d*x + c)/(b*x^4 + a), x)","F",0
295,0,0,0,0.000000," ","integrate(log(d*x+c)/x/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\log\left(d x + c\right)}{{\left(b x^{4} + a\right)} x}\,{d x}"," ",0,"integrate(log(d*x + c)/((b*x^4 + a)*x), x)","F",0
296,0,0,0,0.000000," ","integrate(x^5*log(d*x+c)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{x^{5} \log\left(d x + c\right)}{b x^{4} + a}\,{d x}"," ",0,"integrate(x^5*log(d*x + c)/(b*x^4 + a), x)","F",0
297,0,0,0,0.000000," ","integrate(x*log(d*x+c)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{x \log\left(d x + c\right)}{b x^{4} + a}\,{d x}"," ",0,"integrate(x*log(d*x + c)/(b*x^4 + a), x)","F",0
298,0,0,0,0.000000," ","integrate(log(d*x+c)/x^3/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\log\left(d x + c\right)}{{\left(b x^{4} + a\right)} x^{3}}\,{d x}"," ",0,"integrate(log(d*x + c)/((b*x^4 + a)*x^3), x)","F",0
299,0,0,0,0.000000," ","integrate(x^4*log(d*x+c)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{x^{4} \log\left(d x + c\right)}{b x^{4} + a}\,{d x}"," ",0,"integrate(x^4*log(d*x + c)/(b*x^4 + a), x)","F",0
300,0,0,0,0.000000," ","integrate(x^2*log(d*x+c)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{x^{2} \log\left(d x + c\right)}{b x^{4} + a}\,{d x}"," ",0,"integrate(x^2*log(d*x + c)/(b*x^4 + a), x)","F",0
301,0,0,0,0.000000," ","integrate(log(d*x+c)/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\log\left(d x + c\right)}{b x^{4} + a}\,{d x}"," ",0,"integrate(log(d*x + c)/(b*x^4 + a), x)","F",0
302,0,0,0,0.000000," ","integrate(log(d*x+c)/x^2/(b*x^4+a),x, algorithm=""maxima"")","\int \frac{\log\left(d x + c\right)}{{\left(b x^{4} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(log(d*x + c)/((b*x^4 + a)*x^2), x)","F",0
303,1,102,0,0.471462," ","integrate((f+g/x)*x*(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","-b e g n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} - \frac{1}{4} \, b e f n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + \frac{1}{2} \, b f x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{2} \, a f x^{2} + b g x \log\left({\left(e x + d\right)}^{n} c\right) + a g x"," ",0,"-b*e*g*n*(x/e - d*log(e*x + d)/e^2) - 1/4*b*e*f*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + 1/2*b*f*x^2*log((e*x + d)^n*c) + 1/2*a*f*x^2 + b*g*x*log((e*x + d)^n*c) + a*g*x","A",0
304,1,187,0,0.493279," ","integrate((f+g/x)^2*x^2*(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\frac{1}{3} \, b f^{2} x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{3} \, a f^{2} x^{3} - b e g^{2} n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + \frac{1}{18} \, b e f^{2} n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} - \frac{1}{2} \, b e f g n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + b f g x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + a f g x^{2} + b g^{2} x \log\left({\left(e x + d\right)}^{n} c\right) + a g^{2} x"," ",0,"1/3*b*f^2*x^3*log((e*x + d)^n*c) + 1/3*a*f^2*x^3 - b*e*g^2*n*(x/e - d*log(e*x + d)/e^2) + 1/18*b*e*f^2*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3) - 1/2*b*e*f*g*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + b*f*g*x^2*log((e*x + d)^n*c) + a*f*g*x^2 + b*g^2*x*log((e*x + d)^n*c) + a*g^2*x","A",0
305,1,284,0,0.509917," ","integrate((f+g/x)^3*x^3*(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\frac{1}{4} \, b f^{3} x^{4} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{4} \, a f^{3} x^{4} + b f^{2} g x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + a f^{2} g x^{3} - b e g^{3} n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} - \frac{1}{48} \, b e f^{3} n {\left(\frac{12 \, d^{4} \log\left(e x + d\right)}{e^{5}} + \frac{3 \, e^{3} x^{4} - 4 \, d e^{2} x^{3} + 6 \, d^{2} e x^{2} - 12 \, d^{3} x}{e^{4}}\right)} + \frac{1}{6} \, b e f^{2} g n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} - \frac{3}{4} \, b e f g^{2} n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + \frac{3}{2} \, b f g^{2} x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{3}{2} \, a f g^{2} x^{2} + b g^{3} x \log\left({\left(e x + d\right)}^{n} c\right) + a g^{3} x"," ",0,"1/4*b*f^3*x^4*log((e*x + d)^n*c) + 1/4*a*f^3*x^4 + b*f^2*g*x^3*log((e*x + d)^n*c) + a*f^2*g*x^3 - b*e*g^3*n*(x/e - d*log(e*x + d)/e^2) - 1/48*b*e*f^3*n*(12*d^4*log(e*x + d)/e^5 + (3*e^3*x^4 - 4*d*e^2*x^3 + 6*d^2*e*x^2 - 12*d^3*x)/e^4) + 1/6*b*e*f^2*g*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3) - 3/4*b*e*f*g^2*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + 3/2*b*f*g^2*x^2*log((e*x + d)^n*c) + 3/2*a*f*g^2*x^2 + b*g^3*x*log((e*x + d)^n*c) + a*g^3*x","B",0
306,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(f+g/x)/x,x, algorithm=""maxima"")","b \int \frac{\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)}{f x + g}\,{d x} + \frac{a \log\left(f x + g\right)}{f}"," ",0,"b*integrate((log((e*x + d)^n) + log(c))/(f*x + g), x) + a*log(f*x + g)/f","F",0
307,1,86,0,0.465390," ","integrate((a+b*log(c*(e*x+d)^n))/(f+g/x)^2/x^2,x, algorithm=""maxima"")","-b e n {\left(\frac{\log\left(e x + d\right)}{d f^{2} - e f g} - \frac{\log\left(f x + g\right)}{d f^{2} - e f g}\right)} - \frac{b \log\left({\left(e x + d\right)}^{n} c\right)}{f^{2} x + f g} - \frac{a}{f^{2} x + f g}"," ",0,"-b*e*n*(log(e*x + d)/(d*f^2 - e*f*g) - log(f*x + g)/(d*f^2 - e*f*g)) - b*log((e*x + d)^n*c)/(f^2*x + f*g) - a/(f^2*x + f*g)","A",0
308,1,169,0,0.506613," ","integrate((a+b*log(c*(e*x+d)^n))/(f+g/x)^3/x^3,x, algorithm=""maxima"")","\frac{1}{2} \, b e n {\left(\frac{e \log\left(e x + d\right)}{d^{2} f^{3} - 2 \, d e f^{2} g + e^{2} f g^{2}} - \frac{e \log\left(f x + g\right)}{d^{2} f^{3} - 2 \, d e f^{2} g + e^{2} f g^{2}} - \frac{1}{d f^{2} g - e f g^{2} + {\left(d f^{3} - e f^{2} g\right)} x}\right)} - \frac{b \log\left({\left(e x + d\right)}^{n} c\right)}{2 \, {\left(f^{3} x^{2} + 2 \, f^{2} g x + f g^{2}\right)}} - \frac{a}{2 \, {\left(f^{3} x^{2} + 2 \, f^{2} g x + f g^{2}\right)}}"," ",0,"1/2*b*e*n*(e*log(e*x + d)/(d^2*f^3 - 2*d*e*f^2*g + e^2*f*g^2) - e*log(f*x + g)/(d^2*f^3 - 2*d*e*f^2*g + e^2*f*g^2) - 1/(d*f^2*g - e*f*g^2 + (d*f^3 - e*f^2*g)*x)) - 1/2*b*log((e*x + d)^n*c)/(f^3*x^2 + 2*f^2*g*x + f*g^2) - 1/2*a/(f^3*x^2 + 2*f^2*g*x + f*g^2)","A",0
309,1,298,0,1.243523," ","integrate(log(b*x+a)/(c+d/x^2),x, algorithm=""maxima"")","-{\left(\frac{d \arctan\left(\frac{c x}{\sqrt{c d}}\right)}{\sqrt{c d} c} - \frac{x}{c}\right)} \log\left(b x + a\right) - \frac{2 \, b c x - 2 \, a c \log\left(b x + a\right) + {\left(b \arctan\left(\frac{{\left(b^{2} x + a b\right)} \sqrt{c} \sqrt{d}}{a^{2} c + b^{2} d}, \frac{a b c x + a^{2} c}{a^{2} c + b^{2} d}\right) \log\left(c x^{2} + d\right) - b \arctan\left(\frac{\sqrt{c} x}{\sqrt{d}}\right) \log\left(\frac{b^{2} c x^{2} + 2 \, a b c x + a^{2} c}{a^{2} c + b^{2} d}\right) + i \, b {\rm Li}_2\left(-\frac{a b c x + b^{2} d + {\left(i \, b^{2} x - i \, a b\right)} \sqrt{c} \sqrt{d}}{a^{2} c + 2 i \, a b \sqrt{c} \sqrt{d} - b^{2} d}\right) - i \, b {\rm Li}_2\left(-\frac{a b c x + b^{2} d - {\left(i \, b^{2} x - i \, a b\right)} \sqrt{c} \sqrt{d}}{a^{2} c - 2 i \, a b \sqrt{c} \sqrt{d} - b^{2} d}\right)\right)} \sqrt{c} \sqrt{d}}{2 \, b c^{2}}"," ",0,"-(d*arctan(c*x/sqrt(c*d))/(sqrt(c*d)*c) - x/c)*log(b*x + a) - 1/2*(2*b*c*x - 2*a*c*log(b*x + a) + (b*arctan2((b^2*x + a*b)*sqrt(c)*sqrt(d)/(a^2*c + b^2*d), (a*b*c*x + a^2*c)/(a^2*c + b^2*d))*log(c*x^2 + d) - b*arctan(sqrt(c)*x/sqrt(d))*log((b^2*c*x^2 + 2*a*b*c*x + a^2*c)/(a^2*c + b^2*d)) + I*b*dilog(-(a*b*c*x + b^2*d + (I*b^2*x - I*a*b)*sqrt(c)*sqrt(d))/(a^2*c + 2*I*a*b*sqrt(c)*sqrt(d) - b^2*d)) - I*b*dilog(-(a*b*c*x + b^2*d - (I*b^2*x - I*a*b)*sqrt(c)*sqrt(d))/(a^2*c - 2*I*a*b*sqrt(c)*sqrt(d) - b^2*d)))*sqrt(c)*sqrt(d))/(b*c^2)","C",0
310,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""maxima"")","\frac{1}{4} \, a^{2} {\left(\frac{2 \, f^{2} \log\left(g x^{2} + f\right)}{g^{3}} + \frac{g x^{4} - 2 \, f x^{2}}{g^{2}}\right)} + \int \frac{b^{2} x^{5} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{5} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{5}}{g x^{2} + f}\,{d x}"," ",0,"1/4*a^2*(2*f^2*log(g*x^2 + f)/g^3 + (g*x^4 - 2*f*x^2)/g^2) + integrate((b^2*x^5*log((e*x + d)^n)^2 + 2*(b^2*log(c) + a*b)*x^5*log((e*x + d)^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^5)/(g*x^2 + f), x)","F",0
311,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} {\left(\frac{x^{2}}{g} - \frac{f \log\left(g x^{2} + f\right)}{g^{2}}\right)} + \int \frac{b^{2} x^{3} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{3} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{3}}{g x^{2} + f}\,{d x}"," ",0,"1/2*a^2*(x^2/g - f*log(g*x^2 + f)/g^2) + integrate((b^2*x^3*log((e*x + d)^n)^2 + 2*(b^2*log(c) + a*b)*x^3*log((e*x + d)^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^3)/(g*x^2 + f), x)","F",0
312,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""maxima"")","\frac{a^{2} \log\left(g x^{2} + f\right)}{2 \, g} + \int \frac{b^{2} x \log\left({\left(e x + d\right)}^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x}{g x^{2} + f}\,{d x}"," ",0,"1/2*a^2*log(g*x^2 + f)/g + integrate((b^2*x*log((e*x + d)^n)^2 + 2*(b^2*log(c) + a*b)*x*log((e*x + d)^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x)/(g*x^2 + f), x)","F",0
313,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/x/(g*x^2+f),x, algorithm=""maxima"")","-\frac{1}{2} \, a^{2} {\left(\frac{\log\left(g x^{2} + f\right)}{f} - \frac{2 \, \log\left(x\right)}{f}\right)} + \int \frac{b^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x^{3} + f x}\,{d x}"," ",0,"-1/2*a^2*(log(g*x^2 + f)/f - 2*log(x)/f) + integrate((b^2*log((e*x + d)^n)^2 + b^2*log(c)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log((e*x + d)^n))/(g*x^3 + f*x), x)","F",0
314,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/x^3/(g*x^2+f),x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} {\left(\frac{g \log\left(g x^{2} + f\right)}{f^{2}} - \frac{2 \, g \log\left(x\right)}{f^{2}} - \frac{1}{f x^{2}}\right)} + \int \frac{b^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x^{5} + f x^{3}}\,{d x}"," ",0,"1/2*a^2*(g*log(g*x^2 + f)/f^2 - 2*g*log(x)/f^2 - 1/(f*x^2)) + integrate((b^2*log((e*x + d)^n)^2 + b^2*log(c)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log((e*x + d)^n))/(g*x^5 + f*x^3), x)","F",0
315,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""maxima"")","\frac{1}{3} \, a^{2} {\left(\frac{3 \, f^{2} \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} g^{2}} + \frac{g x^{3} - 3 \, f x}{g^{2}}\right)} + \int \frac{b^{2} x^{4} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{4} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{4}}{g x^{2} + f}\,{d x}"," ",0,"1/3*a^2*(3*f^2*arctan(g*x/sqrt(f*g))/(sqrt(f*g)*g^2) + (g*x^3 - 3*f*x)/g^2) + integrate((b^2*x^4*log((e*x + d)^n)^2 + 2*(b^2*log(c) + a*b)*x^4*log((e*x + d)^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^4)/(g*x^2 + f), x)","F",0
316,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""maxima"")","-a^{2} {\left(\frac{f \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} g} - \frac{x}{g}\right)} + \int \frac{b^{2} x^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{2} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{2}}{g x^{2} + f}\,{d x}"," ",0,"-a^2*(f*arctan(g*x/sqrt(f*g))/(sqrt(f*g)*g) - x/g) + integrate((b^2*x^2*log((e*x + d)^n)^2 + 2*(b^2*log(c) + a*b)*x^2*log((e*x + d)^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^2)/(g*x^2 + f), x)","F",0
317,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""maxima"")","\frac{a^{2} \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g}} + \int \frac{b^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x^{2} + f}\,{d x}"," ",0,"a^2*arctan(g*x/sqrt(f*g))/sqrt(f*g) + integrate((b^2*log((e*x + d)^n)^2 + b^2*log(c)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log((e*x + d)^n))/(g*x^2 + f), x)","F",0
318,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/x^2/(g*x^2+f),x, algorithm=""maxima"")","-a^{2} {\left(\frac{g \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} f} + \frac{1}{f x}\right)} + \int \frac{b^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x^{4} + f x^{2}}\,{d x}"," ",0,"-a^2*(g*arctan(g*x/sqrt(f*g))/(sqrt(f*g)*f) + 1/(f*x)) + integrate((b^2*log((e*x + d)^n)^2 + b^2*log(c)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log((e*x + d)^n))/(g*x^4 + f*x^2), x)","F",0
319,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/x^4/(g*x^2+f),x, algorithm=""maxima"")","\frac{1}{3} \, a^{2} {\left(\frac{3 \, g^{2} \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} f^{2}} + \frac{3 \, g x^{2} - f}{f^{2} x^{3}}\right)} + \int \frac{b^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g x^{6} + f x^{4}}\,{d x}"," ",0,"1/3*a^2*(3*g^2*arctan(g*x/sqrt(f*g))/(sqrt(f*g)*f^2) + (3*g*x^2 - f)/(f^2*x^3)) + integrate((b^2*log((e*x + d)^n)^2 + b^2*log(c)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log((e*x + d)^n))/(g*x^6 + f*x^4), x)","F",0
320,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a^{2} {\left(\frac{f^{2}}{g^{4} x^{2} + f g^{3}} - \frac{x^{2}}{g^{2}} + \frac{2 \, f \log\left(g x^{2} + f\right)}{g^{3}}\right)} + \int \frac{b^{2} x^{5} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{5} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{5}}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}\,{d x}"," ",0,"-1/2*a^2*(f^2/(g^4*x^2 + f*g^3) - x^2/g^2 + 2*f*log(g*x^2 + f)/g^3) + integrate((b^2*x^5*log((e*x + d)^n)^2 + 2*(b^2*log(c) + a*b)*x^5*log((e*x + d)^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^5)/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
321,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} {\left(\frac{f}{g^{3} x^{2} + f g^{2}} + \frac{\log\left(g x^{2} + f\right)}{g^{2}}\right)} + \int \frac{b^{2} x^{3} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{3} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{3}}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}\,{d x}"," ",0,"1/2*a^2*(f/(g^3*x^2 + f*g^2) + log(g*x^2 + f)/g^2) + integrate((b^2*x^3*log((e*x + d)^n)^2 + 2*(b^2*log(c) + a*b)*x^3*log((e*x + d)^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^3)/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
322,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a b e n {\left(\frac{e \log\left(g x^{2} + f\right)}{e^{2} f g + d^{2} g^{2}} - \frac{2 \, e \log\left(e x + d\right)}{e^{2} f g + d^{2} g^{2}} - \frac{2 \, d \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{{\left(e^{2} f + d^{2} g\right)} \sqrt{f g}}\right)} - \frac{1}{2} \, b^{2} {\left(\frac{\log\left({\left(e x + d\right)}^{n}\right)^{2}}{g^{2} x^{2} + f g} - 2 \, \int \frac{e g x^{2} \log\left(c\right)^{2} + d g x \log\left(c\right)^{2} + {\left(2 \, d g x \log\left(c\right) + e f n + {\left(e g n + 2 \, e g \log\left(c\right)\right)} x^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)}{e g^{3} x^{5} + d g^{3} x^{4} + 2 \, e f g^{2} x^{3} + 2 \, d f g^{2} x^{2} + e f^{2} g x + d f^{2} g}\,{d x}\right)} - \frac{a b \log\left({\left(e x + d\right)}^{n} c\right)}{g^{2} x^{2} + f g} - \frac{a^{2}}{2 \, {\left(g^{2} x^{2} + f g\right)}}"," ",0,"-1/2*a*b*e*n*(e*log(g*x^2 + f)/(e^2*f*g + d^2*g^2) - 2*e*log(e*x + d)/(e^2*f*g + d^2*g^2) - 2*d*arctan(g*x/sqrt(f*g))/((e^2*f + d^2*g)*sqrt(f*g))) - 1/2*b^2*(log((e*x + d)^n)^2/(g^2*x^2 + f*g) - 2*integrate((e*g*x^2*log(c)^2 + d*g*x*log(c)^2 + (2*d*g*x*log(c) + e*f*n + (e*g*n + 2*e*g*log(c))*x^2)*log((e*x + d)^n))/(e*g^3*x^5 + d*g^3*x^4 + 2*e*f*g^2*x^3 + 2*d*f*g^2*x^2 + e*f^2*g*x + d*f^2*g), x)) - a*b*log((e*x + d)^n*c)/(g^2*x^2 + f*g) - 1/2*a^2/(g^2*x^2 + f*g)","F",0
323,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/x/(g*x^2+f)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} {\left(\frac{1}{f g x^{2} + f^{2}} - \frac{\log\left(g x^{2} + f\right)}{f^{2}} + \frac{2 \, \log\left(x\right)}{f^{2}}\right)} + \int \frac{b^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g^{2} x^{5} + 2 \, f g x^{3} + f^{2} x}\,{d x}"," ",0,"1/2*a^2*(1/(f*g*x^2 + f^2) - log(g*x^2 + f)/f^2 + 2*log(x)/f^2) + integrate((b^2*log((e*x + d)^n)^2 + b^2*log(c)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log((e*x + d)^n))/(g^2*x^5 + 2*f*g*x^3 + f^2*x), x)","F",0
324,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/x^3/(g*x^2+f)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a^{2} {\left(\frac{2 \, g x^{2} + f}{f^{2} g x^{4} + f^{3} x^{2}} - \frac{2 \, g \log\left(g x^{2} + f\right)}{f^{3}} + \frac{4 \, g \log\left(x\right)}{f^{3}}\right)} + \int \frac{b^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g^{2} x^{7} + 2 \, f g x^{5} + f^{2} x^{3}}\,{d x}"," ",0,"-1/2*a^2*((2*g*x^2 + f)/(f^2*g*x^4 + f^3*x^2) - 2*g*log(g*x^2 + f)/f^3 + 4*g*log(x)/f^3) + integrate((b^2*log((e*x + d)^n)^2 + b^2*log(c)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log((e*x + d)^n))/(g^2*x^7 + 2*f*g*x^5 + f^2*x^3), x)","F",0
325,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} {\left(\frac{f x}{g^{3} x^{2} + f g^{2}} - \frac{3 \, f \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} g^{2}} + \frac{2 \, x}{g^{2}}\right)} + \int \frac{b^{2} x^{4} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{4} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{4}}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}\,{d x}"," ",0,"1/2*a^2*(f*x/(g^3*x^2 + f*g^2) - 3*f*arctan(g*x/sqrt(f*g))/(sqrt(f*g)*g^2) + 2*x/g^2) + integrate((b^2*x^4*log((e*x + d)^n)^2 + 2*(b^2*log(c) + a*b)*x^4*log((e*x + d)^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^4)/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
326,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a^{2} {\left(\frac{x}{g^{2} x^{2} + f g} - \frac{\arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} g}\right)} + \int \frac{b^{2} x^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{2} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{2}}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}\,{d x}"," ",0,"-1/2*a^2*(x/(g^2*x^2 + f*g) - arctan(g*x/sqrt(f*g))/(sqrt(f*g)*g)) + integrate((b^2*x^2*log((e*x + d)^n)^2 + 2*(b^2*log(c) + a*b)*x^2*log((e*x + d)^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^2)/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
327,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} {\left(\frac{x}{f g x^{2} + f^{2}} + \frac{\arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} f}\right)} + \int \frac{b^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g^{2} x^{4} + 2 \, f g x^{2} + f^{2}}\,{d x}"," ",0,"1/2*a^2*(x/(f*g*x^2 + f^2) + arctan(g*x/sqrt(f*g))/(sqrt(f*g)*f)) + integrate((b^2*log((e*x + d)^n)^2 + b^2*log(c)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log((e*x + d)^n))/(g^2*x^4 + 2*f*g*x^2 + f^2), x)","F",0
328,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/x^2/(g*x^2+f)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a^{2} {\left(\frac{3 \, g x^{2} + 2 \, f}{f^{2} g x^{3} + f^{3} x} + \frac{3 \, g \arctan\left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g} f^{2}}\right)} + \int \frac{b^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left({\left(e x + d\right)}^{n}\right)}{g^{2} x^{6} + 2 \, f g x^{4} + f^{2} x^{2}}\,{d x}"," ",0,"-1/2*a^2*((3*g*x^2 + 2*f)/(f^2*g*x^3 + f^3*x) + 3*g*arctan(g*x/sqrt(f*g))/(sqrt(f*g)*f^2)) + integrate((b^2*log((e*x + d)^n)^2 + b^2*log(c)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log((e*x + d)^n))/(g^2*x^6 + 2*f*g*x^4 + f^2*x^2), x)","F",0
329,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)^3/(e*x^2+d),x, algorithm=""maxima"")","\int \frac{\log\left({\left(b x + a\right)}^{n} c\right)^{3}}{e x^{2} + d}\,{d x}"," ",0,"integrate(log((b*x + a)^n*c)^3/(e*x^2 + d), x)","F",0
330,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)^2/(e*x^2+d),x, algorithm=""maxima"")","\int \frac{\log\left({\left(b x + a\right)}^{n} c\right)^{2}}{e x^{2} + d}\,{d x}"," ",0,"integrate(log((b*x + a)^n*c)^2/(e*x^2 + d), x)","F",0
331,1,309,0,1.238415," ","integrate(log(c*(b*x+a)^n)/(e*x^2+d),x, algorithm=""maxima"")","\frac{b n {\left(\frac{2 \, \arctan\left(\frac{e x}{\sqrt{d e}}\right) \log\left(b x + a\right)}{b} + \frac{\arctan\left(\frac{{\left(b^{2} x + a b\right)} \sqrt{d} \sqrt{e}}{b^{2} d + a^{2} e}, \frac{a b e x + a^{2} e}{b^{2} d + a^{2} e}\right) \log\left(e x^{2} + d\right) - \arctan\left(\frac{\sqrt{e} x}{\sqrt{d}}\right) \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{b^{2} d + a^{2} e}\right) - i \, {\rm Li}_2\left(\frac{a b e x + b^{2} d - {\left(i \, b^{2} x - i \, a b\right)} \sqrt{d} \sqrt{e}}{b^{2} d + 2 i \, a b \sqrt{d} \sqrt{e} - a^{2} e}\right) + i \, {\rm Li}_2\left(\frac{a b e x + b^{2} d + {\left(i \, b^{2} x - i \, a b\right)} \sqrt{d} \sqrt{e}}{b^{2} d - 2 i \, a b \sqrt{d} \sqrt{e} - a^{2} e}\right)}{b}\right)}}{2 \, \sqrt{d e}} - \frac{n \arctan\left(\frac{e x}{\sqrt{d e}}\right) \log\left(b x + a\right)}{\sqrt{d e}} + \frac{\arctan\left(\frac{e x}{\sqrt{d e}}\right) \log\left({\left(b x + a\right)}^{n} c\right)}{\sqrt{d e}}"," ",0,"1/2*b*n*(2*arctan(e*x/sqrt(d*e))*log(b*x + a)/b + (arctan2((b^2*x + a*b)*sqrt(d)*sqrt(e)/(b^2*d + a^2*e), (a*b*e*x + a^2*e)/(b^2*d + a^2*e))*log(e*x^2 + d) - arctan(sqrt(e)*x/sqrt(d))*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(b^2*d + a^2*e)) - I*dilog((a*b*e*x + b^2*d - (I*b^2*x - I*a*b)*sqrt(d)*sqrt(e))/(b^2*d + 2*I*a*b*sqrt(d)*sqrt(e) - a^2*e)) + I*dilog((a*b*e*x + b^2*d + (I*b^2*x - I*a*b)*sqrt(d)*sqrt(e))/(b^2*d - 2*I*a*b*sqrt(d)*sqrt(e) - a^2*e)))/b)/sqrt(d*e) - n*arctan(e*x/sqrt(d*e))*log(b*x + a)/sqrt(d*e) + arctan(e*x/sqrt(d*e))*log((b*x + a)^n*c)/sqrt(d*e)","C",0
332,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/log(c*(b*x+a)^n),x, algorithm=""maxima"")","\int \frac{1}{{\left(e x^{2} + d\right)} \log\left({\left(b x + a\right)}^{n} c\right)}\,{d x}"," ",0,"integrate(1/((e*x^2 + d)*log((b*x + a)^n*c)), x)","F",0
333,0,0,0,0.000000," ","integrate(log(c-a*(1-c)/b/(x^m))/x/(a+b*x^m),x, algorithm=""maxima"")","{\left(c m - m\right)} \int \frac{\log\left(x\right)}{b c x x^{m} + a {\left(c - 1\right)} x}\,{d x} + \frac{\log\left(b c x^{m} + a c - a\right) \log\left(x\right) - \log\left(b\right) \log\left(x\right) - \log\left(x\right) \log\left(x^{m}\right)}{a} + \frac{\log\left(b\right) \log\left(\frac{b x^{m} + a}{b}\right)}{a m} + \frac{\log\left(x^{m}\right) \log\left(\frac{b x^{m}}{a} + 1\right) + {\rm Li}_2\left(-\frac{b x^{m}}{a}\right)}{a m} - \frac{\log\left(b c x^{m} + a c - a\right) \log\left(\frac{b c x^{m} + a {\left(c - 1\right)}}{a} + 1\right) + {\rm Li}_2\left(-\frac{b c x^{m} + a {\left(c - 1\right)}}{a}\right)}{a m}"," ",0,"(c*m - m)*integrate(log(x)/(b*c*x*x^m + a*(c - 1)*x), x) + (log(b*c*x^m + a*c - a)*log(x) - log(b)*log(x) - log(x)*log(x^m))/a + log(b)*log((b*x^m + a)/b)/(a*m) + (log(x^m)*log(b*x^m/a + 1) + dilog(-b*x^m/a))/(a*m) - (log(b*c*x^m + a*c - a)*log((b*c*x^m + a*(c - 1))/a + 1) + dilog(-(b*c*x^m + a*(c - 1))/a))/(a*m)","F",0
334,0,0,0,0.000000," ","integrate(log((-a+a*c+b*c*x^m)/b/(x^m))/x/(a+b*x^m),x, algorithm=""maxima"")","{\left(c m - m\right)} \int \frac{\log\left(x\right)}{b c x x^{m} + a {\left(c - 1\right)} x}\,{d x} + \frac{\log\left(b c x^{m} + a c - a\right) \log\left(x\right) - \log\left(b\right) \log\left(x\right) - \log\left(x\right) \log\left(x^{m}\right)}{a} + \frac{\log\left(b\right) \log\left(\frac{b x^{m} + a}{b}\right)}{a m} + \frac{\log\left(x^{m}\right) \log\left(\frac{b x^{m}}{a} + 1\right) + {\rm Li}_2\left(-\frac{b x^{m}}{a}\right)}{a m} - \frac{\log\left(b c x^{m} + a c - a\right) \log\left(\frac{b c x^{m} + a {\left(c - 1\right)}}{a} + 1\right) + {\rm Li}_2\left(-\frac{b c x^{m} + a {\left(c - 1\right)}}{a}\right)}{a m}"," ",0,"(c*m - m)*integrate(log(x)/(b*c*x*x^m + a*(c - 1)*x), x) + (log(b*c*x^m + a*c - a)*log(x) - log(b)*log(x) - log(x)*log(x^m))/a + log(b)*log((b*x^m + a)/b)/(a*m) + (log(x^m)*log(b*x^m/a + 1) + dilog(-b*x^m/a))/(a*m) - (log(b*c*x^m + a*c - a)*log((b*c*x^m + a*(c - 1))/a + 1) + dilog(-(b*c*x^m + a*(c - 1))/a))/(a*m)","F",0
335,0,0,0,0.000000," ","integrate(log(c*(a+(a*c*d-d)/c/e/(x^m)))/x/(d+e*x^m),x, algorithm=""maxima"")","{\left(a c m - m\right)} \int \frac{\log\left(x\right)}{a c e x x^{m} + {\left(a c d - d\right)} x}\,{d x} + \frac{\log\left(a c e x^{m} + {\left(a c - 1\right)} d\right) \log\left(x\right) - \log\left(e\right) \log\left(x\right) - \log\left(x\right) \log\left(x^{m}\right)}{d} + \frac{\log\left(e\right) \log\left(\frac{e x^{m} + d}{e}\right)}{d m} + \frac{\log\left(x^{m}\right) \log\left(\frac{e x^{m}}{d} + 1\right) + {\rm Li}_2\left(-\frac{e x^{m}}{d}\right)}{d m} - \frac{\log\left(a c e x^{m} + {\left(a c - 1\right)} d\right) \log\left(\frac{a c e x^{m} + a c d - d}{d} + 1\right) + {\rm Li}_2\left(-\frac{a c e x^{m} + a c d - d}{d}\right)}{d m}"," ",0,"(a*c*m - m)*integrate(log(x)/(a*c*e*x*x^m + (a*c*d - d)*x), x) + (log(a*c*e*x^m + (a*c - 1)*d)*log(x) - log(e)*log(x) - log(x)*log(x^m))/d + log(e)*log((e*x^m + d)/e)/(d*m) + (log(x^m)*log(e*x^m/d + 1) + dilog(-e*x^m/d))/(d*m) - (log(a*c*e*x^m + (a*c - 1)*d)*log((a*c*e*x^m + a*c*d - d)/d + 1) + dilog(-(a*c*e*x^m + a*c*d - d)/d))/(d*m)","F",0
336,0,0,0,0.000000," ","integrate(log((-d+a*c*d+a*c*e*x^m)/e/(x^m))/x/(d+e*x^m),x, algorithm=""maxima"")","{\left(a c m - m\right)} \int \frac{\log\left(x\right)}{a c e x x^{m} + {\left(a c d - d\right)} x}\,{d x} + \frac{\log\left(a c e x^{m} + {\left(a c - 1\right)} d\right) \log\left(x\right) - \log\left(e\right) \log\left(x\right) - \log\left(x\right) \log\left(x^{m}\right)}{d} + \frac{\log\left(e\right) \log\left(\frac{e x^{m} + d}{e}\right)}{d m} + \frac{\log\left(x^{m}\right) \log\left(\frac{e x^{m}}{d} + 1\right) + {\rm Li}_2\left(-\frac{e x^{m}}{d}\right)}{d m} - \frac{\log\left(a c e x^{m} + {\left(a c - 1\right)} d\right) \log\left(\frac{a c e x^{m} + a c d - d}{d} + 1\right) + {\rm Li}_2\left(-\frac{a c e x^{m} + a c d - d}{d}\right)}{d m}"," ",0,"(a*c*m - m)*integrate(log(x)/(a*c*e*x*x^m + (a*c*d - d)*x), x) + (log(a*c*e*x^m + (a*c - 1)*d)*log(x) - log(e)*log(x) - log(x)*log(x^m))/d + log(e)*log((e*x^m + d)/e)/(d*m) + (log(x^m)*log(e*x^m/d + 1) + dilog(-e*x^m/d))/(d*m) - (log(a*c*e*x^m + (a*c - 1)*d)*log((a*c*e*x^m + a*c*d - d)/d + 1) + dilog(-(a*c*e*x^m + a*c*d - d)/d))/(d*m)","F",0
337,1,120,0,0.487625," ","integrate(log(2*a/(b*x+a))/(-b^2*x^2+a^2),x, algorithm=""maxima"")","\frac{1}{4} \, b {\left(\frac{\log\left(b x + a\right)^{2} - 2 \, \log\left(b x + a\right) \log\left(b x - a\right)}{a b^{2}} + \frac{2 \, {\left(\log\left(b x + a\right) \log\left(-\frac{b x + a}{2 \, a} + 1\right) + {\rm Li}_2\left(\frac{b x + a}{2 \, a}\right)\right)}}{a b^{2}}\right)} + \frac{1}{2} \, {\left(\frac{\log\left(b x + a\right)}{a b} - \frac{\log\left(b x - a\right)}{a b}\right)} \log\left(\frac{2 \, a}{b x + a}\right)"," ",0,"1/4*b*((log(b*x + a)^2 - 2*log(b*x + a)*log(b*x - a))/(a*b^2) + 2*(log(b*x + a)*log(-1/2*(b*x + a)/a + 1) + dilog(1/2*(b*x + a)/a))/(a*b^2)) + 1/2*(log(b*x + a)/(a*b) - log(b*x - a)/(a*b))*log(2*a/(b*x + a))","B",0
338,1,120,0,0.499520," ","integrate(log(2*a/(b*x+a))/(-b*x+a)/(b*x+a),x, algorithm=""maxima"")","\frac{1}{4} \, b {\left(\frac{\log\left(b x + a\right)^{2} - 2 \, \log\left(b x + a\right) \log\left(b x - a\right)}{a b^{2}} + \frac{2 \, {\left(\log\left(b x + a\right) \log\left(-\frac{b x + a}{2 \, a} + 1\right) + {\rm Li}_2\left(\frac{b x + a}{2 \, a}\right)\right)}}{a b^{2}}\right)} + \frac{1}{2} \, {\left(\frac{\log\left(b x + a\right)}{a b} - \frac{\log\left(b x - a\right)}{a b}\right)} \log\left(\frac{2 \, a}{b x + a}\right)"," ",0,"1/4*b*((log(b*x + a)^2 - 2*log(b*x + a)*log(b*x - a))/(a*b^2) + 2*(log(b*x + a)*log(-1/2*(b*x + a)/a + 1) + dilog(1/2*(b*x + a)/a))/(a*b^2)) + 1/2*(log(b*x + a)/(a*b) - log(b*x - a)/(a*b))*log(2*a/(b*x + a))","B",0
339,1,246,0,0.504919," ","integrate(log((a*(1-c)+b*(1+c)*x)/(b*x+a))/(-b^2*x^2+a^2),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{\log\left(b x + a\right)}{a b} - \frac{\log\left(b x - a\right)}{a b}\right)} \log\left(\frac{b {\left(c + 1\right)} x - a {\left(c - 1\right)}}{b x + a}\right) + \frac{\log\left(b x + a\right)^{2} - 2 \, \log\left(b x + a\right) \log\left(b x - a\right)}{4 \, a b} + \frac{\log\left(b x - a\right) \log\left(\frac{b {\left(c + 1\right)} x - a {\left(c + 1\right)}}{2 \, a} + 1\right) + {\rm Li}_2\left(-\frac{b {\left(c + 1\right)} x - a {\left(c + 1\right)}}{2 \, a}\right)}{2 \, a b} + \frac{\log\left(b x + a\right) \log\left(-\frac{b x + a}{2 \, a} + 1\right) + {\rm Li}_2\left(\frac{b x + a}{2 \, a}\right)}{2 \, a b} - \frac{\log\left(b x + a\right) \log\left(-\frac{b {\left(c + 1\right)} x + a {\left(c + 1\right)}}{2 \, a c} + 1\right) + {\rm Li}_2\left(\frac{b {\left(c + 1\right)} x + a {\left(c + 1\right)}}{2 \, a c}\right)}{2 \, a b}"," ",0,"1/2*(log(b*x + a)/(a*b) - log(b*x - a)/(a*b))*log((b*(c + 1)*x - a*(c - 1))/(b*x + a)) + 1/4*(log(b*x + a)^2 - 2*log(b*x + a)*log(b*x - a))/(a*b) + 1/2*(log(b*x - a)*log(1/2*(b*(c + 1)*x - a*(c + 1))/a + 1) + dilog(-1/2*(b*(c + 1)*x - a*(c + 1))/a))/(a*b) + 1/2*(log(b*x + a)*log(-1/2*(b*x + a)/a + 1) + dilog(1/2*(b*x + a)/a))/(a*b) - 1/2*(log(b*x + a)*log(-1/2*(b*(c + 1)*x + a*(c + 1))/(a*c) + 1) + dilog(1/2*(b*(c + 1)*x + a*(c + 1))/(a*c)))/(a*b)","B",0
340,1,246,0,0.512593," ","integrate(log((a*(1-c)+b*(1+c)*x)/(b*x+a))/(-b*x+a)/(b*x+a),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{\log\left(b x + a\right)}{a b} - \frac{\log\left(b x - a\right)}{a b}\right)} \log\left(\frac{b {\left(c + 1\right)} x - a {\left(c - 1\right)}}{b x + a}\right) + \frac{\log\left(b x + a\right)^{2} - 2 \, \log\left(b x + a\right) \log\left(b x - a\right)}{4 \, a b} + \frac{\log\left(b x - a\right) \log\left(\frac{b {\left(c + 1\right)} x - a {\left(c + 1\right)}}{2 \, a} + 1\right) + {\rm Li}_2\left(-\frac{b {\left(c + 1\right)} x - a {\left(c + 1\right)}}{2 \, a}\right)}{2 \, a b} + \frac{\log\left(b x + a\right) \log\left(-\frac{b x + a}{2 \, a} + 1\right) + {\rm Li}_2\left(\frac{b x + a}{2 \, a}\right)}{2 \, a b} - \frac{\log\left(b x + a\right) \log\left(-\frac{b {\left(c + 1\right)} x + a {\left(c + 1\right)}}{2 \, a c} + 1\right) + {\rm Li}_2\left(\frac{b {\left(c + 1\right)} x + a {\left(c + 1\right)}}{2 \, a c}\right)}{2 \, a b}"," ",0,"1/2*(log(b*x + a)/(a*b) - log(b*x - a)/(a*b))*log((b*(c + 1)*x - a*(c - 1))/(b*x + a)) + 1/4*(log(b*x + a)^2 - 2*log(b*x + a)*log(b*x - a))/(a*b) + 1/2*(log(b*x - a)*log(1/2*(b*(c + 1)*x - a*(c + 1))/a + 1) + dilog(-1/2*(b*(c + 1)*x - a*(c + 1))/a))/(a*b) + 1/2*(log(b*x + a)*log(-1/2*(b*x + a)/a + 1) + dilog(1/2*(b*x + a)/a))/(a*b) - 1/2*(log(b*x + a)*log(-1/2*(b*(c + 1)*x + a*(c + 1))/(a*c) + 1) + dilog(1/2*(b*(c + 1)*x + a*(c + 1))/(a*c)))/(a*b)","B",0
341,1,243,0,0.523112," ","integrate(log(1-c*(-b*x+a)/(b*x+a))/(-b^2*x^2+a^2),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{\log\left(b x + a\right)}{a b} - \frac{\log\left(b x - a\right)}{a b}\right)} \log\left(\frac{{\left(b x - a\right)} c}{b x + a} + 1\right) + \frac{\log\left(b x + a\right)^{2} - 2 \, \log\left(b x + a\right) \log\left(b x - a\right)}{4 \, a b} + \frac{\log\left(b x - a\right) \log\left(\frac{b {\left(c + 1\right)} x - a {\left(c + 1\right)}}{2 \, a} + 1\right) + {\rm Li}_2\left(-\frac{b {\left(c + 1\right)} x - a {\left(c + 1\right)}}{2 \, a}\right)}{2 \, a b} + \frac{\log\left(b x + a\right) \log\left(-\frac{b x + a}{2 \, a} + 1\right) + {\rm Li}_2\left(\frac{b x + a}{2 \, a}\right)}{2 \, a b} - \frac{\log\left(b x + a\right) \log\left(-\frac{b {\left(c + 1\right)} x + a {\left(c + 1\right)}}{2 \, a c} + 1\right) + {\rm Li}_2\left(\frac{b {\left(c + 1\right)} x + a {\left(c + 1\right)}}{2 \, a c}\right)}{2 \, a b}"," ",0,"1/2*(log(b*x + a)/(a*b) - log(b*x - a)/(a*b))*log((b*x - a)*c/(b*x + a) + 1) + 1/4*(log(b*x + a)^2 - 2*log(b*x + a)*log(b*x - a))/(a*b) + 1/2*(log(b*x - a)*log(1/2*(b*(c + 1)*x - a*(c + 1))/a + 1) + dilog(-1/2*(b*(c + 1)*x - a*(c + 1))/a))/(a*b) + 1/2*(log(b*x + a)*log(-1/2*(b*x + a)/a + 1) + dilog(1/2*(b*x + a)/a))/(a*b) - 1/2*(log(b*x + a)*log(-1/2*(b*(c + 1)*x + a*(c + 1))/(a*c) + 1) + dilog(1/2*(b*(c + 1)*x + a*(c + 1))/(a*c)))/(a*b)","B",0
342,1,243,0,0.524824," ","integrate(log(1-c*(-b*x+a)/(b*x+a))/(-b*x+a)/(b*x+a),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{\log\left(b x + a\right)}{a b} - \frac{\log\left(b x - a\right)}{a b}\right)} \log\left(\frac{{\left(b x - a\right)} c}{b x + a} + 1\right) + \frac{\log\left(b x + a\right)^{2} - 2 \, \log\left(b x + a\right) \log\left(b x - a\right)}{4 \, a b} + \frac{\log\left(b x - a\right) \log\left(\frac{b {\left(c + 1\right)} x - a {\left(c + 1\right)}}{2 \, a} + 1\right) + {\rm Li}_2\left(-\frac{b {\left(c + 1\right)} x - a {\left(c + 1\right)}}{2 \, a}\right)}{2 \, a b} + \frac{\log\left(b x + a\right) \log\left(-\frac{b x + a}{2 \, a} + 1\right) + {\rm Li}_2\left(\frac{b x + a}{2 \, a}\right)}{2 \, a b} - \frac{\log\left(b x + a\right) \log\left(-\frac{b {\left(c + 1\right)} x + a {\left(c + 1\right)}}{2 \, a c} + 1\right) + {\rm Li}_2\left(\frac{b {\left(c + 1\right)} x + a {\left(c + 1\right)}}{2 \, a c}\right)}{2 \, a b}"," ",0,"1/2*(log(b*x + a)/(a*b) - log(b*x - a)/(a*b))*log((b*x - a)*c/(b*x + a) + 1) + 1/4*(log(b*x + a)^2 - 2*log(b*x + a)*log(b*x - a))/(a*b) + 1/2*(log(b*x - a)*log(1/2*(b*(c + 1)*x - a*(c + 1))/a + 1) + dilog(-1/2*(b*(c + 1)*x - a*(c + 1))/a))/(a*b) + 1/2*(log(b*x + a)*log(-1/2*(b*x + a)/a + 1) + dilog(1/2*(b*x + a)/a))/(a*b) - 1/2*(log(b*x + a)*log(-1/2*(b*(c + 1)*x + a*(c + 1))/(a*c) + 1) + dilog(1/2*(b*(c + 1)*x + a*(c + 1))/(a*c)))/(a*b)","B",0
343,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)^3/(e*x^2+d*x),x, algorithm=""maxima"")","\int \frac{\log\left({\left(b x + a\right)}^{n} c\right)^{3}}{e x^{2} + d x}\,{d x}"," ",0,"integrate(log((b*x + a)^n*c)^3/(e*x^2 + d*x), x)","F",0
344,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)^2/(e*x^2+d*x),x, algorithm=""maxima"")","\int \frac{\log\left({\left(b x + a\right)}^{n} c\right)^{2}}{e x^{2} + d x}\,{d x}"," ",0,"integrate(log((b*x + a)^n*c)^2/(e*x^2 + d*x), x)","F",0
345,1,123,0,0.676045," ","integrate(log(c*(b*x+a)^n)/(e*x^2+d*x),x, algorithm=""maxima"")","-b n {\left(\frac{\log\left(\frac{b x}{a} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{b x}{a}\right)}{b d} - \frac{\log\left(e x + d\right) \log\left(-\frac{b e x + b d}{b d - a e} + 1\right) + {\rm Li}_2\left(\frac{b e x + b d}{b d - a e}\right)}{b d}\right)} - {\left(\frac{\log\left(e x + d\right)}{d} - \frac{\log\left(x\right)}{d}\right)} \log\left({\left(b x + a\right)}^{n} c\right)"," ",0,"-b*n*((log(b*x/a + 1)*log(x) + dilog(-b*x/a))/(b*d) - (log(e*x + d)*log(-(b*e*x + b*d)/(b*d - a*e) + 1) + dilog((b*e*x + b*d)/(b*d - a*e)))/(b*d)) - (log(e*x + d)/d - log(x)/d)*log((b*x + a)^n*c)","A",0
346,0,0,0,0.000000," ","integrate(1/(e*x^2+d*x)/log(c*(b*x+a)^n),x, algorithm=""maxima"")","\int \frac{1}{{\left(e x^{2} + d x\right)} \log\left({\left(b x + a\right)}^{n} c\right)}\,{d x}"," ",0,"integrate(1/((e*x^2 + d*x)*log((b*x + a)^n*c)), x)","F",0
347,-2,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)^3/(f*x^2+e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*d*f-e^2>0)', see `assume?` for more details)Is 4*d*f-e^2 positive or negative?","F(-2)",0
348,-2,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)^2/(f*x^2+e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*d*f-e^2>0)', see `assume?` for more details)Is 4*d*f-e^2 positive or negative?","F(-2)",0
349,-2,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)/(f*x^2+e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*d*f-e^2>0)', see `assume?` for more details)Is 4*d*f-e^2 positive or negative?","F(-2)",0
350,0,0,0,0.000000," ","integrate(1/(f*x^2+e*x+d)/log(c*(b*x+a)^n),x, algorithm=""maxima"")","\int \frac{1}{{\left(f x^{2} + e x + d\right)} \log\left({\left(b x + a\right)}^{n} c\right)}\,{d x}"," ",0,"integrate(1/((f*x^2 + e*x + d)*log((b*x + a)^n*c)), x)","F",0
351,-2,0,0,0.000000," ","integrate(x^3*log(x)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
352,-2,0,0,0.000000," ","integrate(x^2*log(x)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
353,-2,0,0,0.000000," ","integrate(x*log(x)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
354,-2,0,0,0.000000," ","integrate(log(x)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
355,-2,0,0,0.000000," ","integrate(log(x)/x/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
356,-2,0,0,0.000000," ","integrate(log(x)/x^2/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
357,-2,0,0,0.000000," ","integrate(log(x)/x^3/(c*x^2+b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
358,1,231,0,0.683277," ","integrate(x^3*log(f*x^m)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\frac{1}{288} \, {\left(\frac{72 \, {\left(\log\left(e x + d\right) \log\left(-\frac{e x + d}{d} + 1\right) + {\rm Li}_2\left(\frac{e x + d}{d}\right)\right)} b d^{4} n}{e^{4}} - \frac{18 \, b e^{4} x^{4} \log\left({\left(e x + d\right)}^{n}\right) + 14 \, b d e^{3} n x^{3} - 27 \, b d^{2} e^{2} n x^{2} + 90 \, b d^{3} e n x - 18 \, b d^{4} n \log\left(e x + d\right) + 9 \, {\left(2 \, a e^{4} - {\left(e^{4} n - 2 \, e^{4} \log\left(c\right)\right)} b\right)} x^{4}}{e^{4}}\right)} m + \frac{1}{48} \, {\left(12 \, b x^{4} \log\left({\left(e x + d\right)}^{n} c\right) + 12 \, a x^{4} - b e n {\left(\frac{12 \, d^{4} \log\left(e x + d\right)}{e^{5}} + \frac{3 \, e^{3} x^{4} - 4 \, d e^{2} x^{3} + 6 \, d^{2} e x^{2} - 12 \, d^{3} x}{e^{4}}\right)}\right)} \log\left(f x^{m}\right)"," ",0,"1/288*(72*(log(e*x + d)*log(-(e*x + d)/d + 1) + dilog((e*x + d)/d))*b*d^4*n/e^4 - (18*b*e^4*x^4*log((e*x + d)^n) + 14*b*d*e^3*n*x^3 - 27*b*d^2*e^2*n*x^2 + 90*b*d^3*e*n*x - 18*b*d^4*n*log(e*x + d) + 9*(2*a*e^4 - (e^4*n - 2*e^4*log(c))*b)*x^4)/e^4)*m + 1/48*(12*b*x^4*log((e*x + d)^n*c) + 12*a*x^4 - b*e*n*(12*d^4*log(e*x + d)/e^5 + (3*e^3*x^4 - 4*d*e^2*x^3 + 6*d^2*e*x^2 - 12*d^3*x)/e^4))*log(f*x^m)","A",0
359,1,207,0,0.693041," ","integrate(x^2*log(f*x^m)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","-\frac{1}{108} \, {\left(\frac{36 \, {\left(\log\left(e x + d\right) \log\left(-\frac{e x + d}{d} + 1\right) + {\rm Li}_2\left(\frac{e x + d}{d}\right)\right)} b d^{3} n}{e^{3}} + \frac{12 \, b e^{3} x^{3} \log\left({\left(e x + d\right)}^{n}\right) + 15 \, b d e^{2} n x^{2} - 48 \, b d^{2} e n x + 12 \, b d^{3} n \log\left(e x + d\right) + 4 \, {\left(3 \, a e^{3} - {\left(2 \, e^{3} n - 3 \, e^{3} \log\left(c\right)\right)} b\right)} x^{3}}{e^{3}}\right)} m + \frac{1}{18} \, {\left(6 \, b x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + 6 \, a x^{3} + b e n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)}\right)} \log\left(f x^{m}\right)"," ",0,"-1/108*(36*(log(e*x + d)*log(-(e*x + d)/d + 1) + dilog((e*x + d)/d))*b*d^3*n/e^3 + (12*b*e^3*x^3*log((e*x + d)^n) + 15*b*d*e^2*n*x^2 - 48*b*d^2*e*n*x + 12*b*d^3*n*log(e*x + d) + 4*(3*a*e^3 - (2*e^3*n - 3*e^3*log(c))*b)*x^3)/e^3)*m + 1/18*(6*b*x^3*log((e*x + d)^n*c) + 6*a*x^3 + b*e*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3))*log(f*x^m)","A",0
360,1,178,0,0.667933," ","integrate(x*log(f*x^m)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(\frac{2 \, {\left(\log\left(e x + d\right) \log\left(-\frac{e x + d}{d} + 1\right) + {\rm Li}_2\left(\frac{e x + d}{d}\right)\right)} b d^{2} n}{e^{2}} - \frac{b e^{2} x^{2} \log\left({\left(e x + d\right)}^{n}\right) + 3 \, b d e n x - b d^{2} n \log\left(e x + d\right) + {\left(a e^{2} - {\left(e^{2} n - e^{2} \log\left(c\right)\right)} b\right)} x^{2}}{e^{2}}\right)} m - \frac{1}{4} \, {\left(b e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} - 2 \, b x^{2} \log\left({\left(e x + d\right)}^{n} c\right) - 2 \, a x^{2}\right)} \log\left(f x^{m}\right)"," ",0,"1/4*(2*(log(e*x + d)*log(-(e*x + d)/d + 1) + dilog((e*x + d)/d))*b*d^2*n/e^2 - (b*e^2*x^2*log((e*x + d)^n) + 3*b*d*e*n*x - b*d^2*n*log(e*x + d) + (a*e^2 - (e^2*n - e^2*log(c))*b)*x^2)/e^2)*m - 1/4*(b*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) - 2*b*x^2*log((e*x + d)^n*c) - 2*a*x^2)*log(f*x^m)","A",0
361,1,139,0,0.659987," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","-{\left(\frac{{\left(\log\left(e x + d\right) \log\left(-\frac{e x + d}{d} + 1\right) + {\rm Li}_2\left(\frac{e x + d}{d}\right)\right)} b d n}{e} + \frac{b d n \log\left(e x + d\right) + b e x \log\left({\left(e x + d\right)}^{n}\right) - {\left({\left(2 \, e n - e \log\left(c\right)\right)} b - a e\right)} x}{e}\right)} m - {\left(b e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} - b x \log\left({\left(e x + d\right)}^{n} c\right) - a x\right)} \log\left(f x^{m}\right)"," ",0,"-((log(e*x + d)*log(-(e*x + d)/d + 1) + dilog((e*x + d)/d))*b*d*n/e + (b*d*n*log(e*x + d) + b*e*x*log((e*x + d)^n) - ((2*e*n - e*log(c))*b - a*e)*x)/e)*m - (b*e*n*(x/e - d*log(e*x + d)/e^2) - b*x*log((e*x + d)^n*c) - a*x)*log(f*x^m)","A",0
362,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(b m \log\left(x\right)^{2} - 2 \, b \log\left(f\right) \log\left(x\right) - 2 \, b \log\left(x\right) \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right) - \int -\frac{b e m n x \log\left(x\right)^{2} - 2 \, b e n x \log\left(f\right) \log\left(x\right) + 2 \, b d \log\left(c\right) \log\left(f\right) + 2 \, a d \log\left(f\right) + 2 \, {\left(b e \log\left(c\right) \log\left(f\right) + a e \log\left(f\right)\right)} x - 2 \, {\left(b e n x \log\left(x\right) - b d \log\left(c\right) - a d - {\left(b e \log\left(c\right) + a e\right)} x\right)} \log\left(x^{m}\right)}{2 \, {\left(e x^{2} + d x\right)}}\,{d x}"," ",0,"-1/2*(b*m*log(x)^2 - 2*b*log(f)*log(x) - 2*b*log(x)*log(x^m))*log((e*x + d)^n) - integrate(-1/2*(b*e*m*n*x*log(x)^2 - 2*b*e*n*x*log(f)*log(x) + 2*b*d*log(c)*log(f) + 2*a*d*log(f) + 2*(b*e*log(c)*log(f) + a*e*log(f))*x - 2*(b*e*n*x*log(x) - b*d*log(c) - a*d - (b*e*log(c) + a*e)*x)*log(x^m))/(e*x^2 + d*x), x)","F",0
363,1,162,0,0.708340," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))/x^2,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(\frac{2 \, {\left(\log\left(\frac{e x}{d} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{e x}{d}\right)\right)} b e n}{d} + \frac{2 \, b e n \log\left(e x + d\right)}{d} - \frac{2 \, b e n x \log\left(e x + d\right) \log\left(x\right) - b e n x \log\left(x\right)^{2} + 2 \, b e n x \log\left(x\right) - 2 \, b d \log\left({\left(e x + d\right)}^{n}\right) - 2 \, b d \log\left(c\right) - 2 \, a d}{d x}\right)} m - {\left(b e n {\left(\frac{\log\left(e x + d\right)}{d} - \frac{\log\left(x\right)}{d}\right)} + \frac{b \log\left({\left(e x + d\right)}^{n} c\right)}{x} + \frac{a}{x}\right)} \log\left(f x^{m}\right)"," ",0,"-1/2*(2*(log(e*x/d + 1)*log(x) + dilog(-e*x/d))*b*e*n/d + 2*b*e*n*log(e*x + d)/d - (2*b*e*n*x*log(e*x + d)*log(x) - b*e*n*x*log(x)^2 + 2*b*e*n*x*log(x) - 2*b*d*log((e*x + d)^n) - 2*b*d*log(c) - 2*a*d)/(d*x))*m - (b*e*n*(log(e*x + d)/d - log(x)/d) + b*log((e*x + d)^n*c)/x + a/x)*log(f*x^m)","A",0
364,1,198,0,0.684358," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(\frac{2 \, {\left(\log\left(\frac{e x}{d} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{e x}{d}\right)\right)} b e^{2} n}{d^{2}} + \frac{b e^{2} n \log\left(e x + d\right)}{d^{2}} - \frac{2 \, b e^{2} n x^{2} \log\left(e x + d\right) \log\left(x\right) - b e^{2} n x^{2} \log\left(x\right)^{2} + b e^{2} n x^{2} \log\left(x\right) + 3 \, b d e n x + b d^{2} \log\left({\left(e x + d\right)}^{n}\right) + b d^{2} \log\left(c\right) + a d^{2}}{d^{2} x^{2}}\right)} m + \frac{1}{2} \, {\left(b e n {\left(\frac{e \log\left(e x + d\right)}{d^{2}} - \frac{e \log\left(x\right)}{d^{2}} - \frac{1}{d x}\right)} - \frac{b \log\left({\left(e x + d\right)}^{n} c\right)}{x^{2}} - \frac{a}{x^{2}}\right)} \log\left(f x^{m}\right)"," ",0,"1/4*(2*(log(e*x/d + 1)*log(x) + dilog(-e*x/d))*b*e^2*n/d^2 + b*e^2*n*log(e*x + d)/d^2 - (2*b*e^2*n*x^2*log(e*x + d)*log(x) - b*e^2*n*x^2*log(x)^2 + b*e^2*n*x^2*log(x) + 3*b*d*e*n*x + b*d^2*log((e*x + d)^n) + b*d^2*log(c) + a*d^2)/(d^2*x^2))*m + 1/2*(b*e*n*(e*log(e*x + d)/d^2 - e*log(x)/d^2 - 1/(d*x)) - b*log((e*x + d)^n*c)/x^2 - a/x^2)*log(f*x^m)","A",0
365,1,229,0,0.714580," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))/x^4,x, algorithm=""maxima"")","-\frac{1}{36} \, {\left(\frac{12 \, {\left(\log\left(\frac{e x}{d} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{e x}{d}\right)\right)} b e^{3} n}{d^{3}} + \frac{4 \, b e^{3} n \log\left(e x + d\right)}{d^{3}} - \frac{12 \, b e^{3} n x^{3} \log\left(e x + d\right) \log\left(x\right) - 6 \, b e^{3} n x^{3} \log\left(x\right)^{2} + 4 \, b e^{3} n x^{3} \log\left(x\right) + 16 \, b d e^{2} n x^{2} - 5 \, b d^{2} e n x - 4 \, b d^{3} \log\left({\left(e x + d\right)}^{n}\right) - 4 \, b d^{3} \log\left(c\right) - 4 \, a d^{3}}{d^{3} x^{3}}\right)} m - \frac{1}{6} \, {\left(b e n {\left(\frac{2 \, e^{2} \log\left(e x + d\right)}{d^{3}} - \frac{2 \, e^{2} \log\left(x\right)}{d^{3}} - \frac{2 \, e x - d}{d^{2} x^{2}}\right)} + \frac{2 \, b \log\left({\left(e x + d\right)}^{n} c\right)}{x^{3}} + \frac{2 \, a}{x^{3}}\right)} \log\left(f x^{m}\right)"," ",0,"-1/36*(12*(log(e*x/d + 1)*log(x) + dilog(-e*x/d))*b*e^3*n/d^3 + 4*b*e^3*n*log(e*x + d)/d^3 - (12*b*e^3*n*x^3*log(e*x + d)*log(x) - 6*b*e^3*n*x^3*log(x)^2 + 4*b*e^3*n*x^3*log(x) + 16*b*d*e^2*n*x^2 - 5*b*d^2*e*n*x - 4*b*d^3*log((e*x + d)^n) - 4*b*d^3*log(c) - 4*a*d^3)/(d^3*x^3))*m - 1/6*(b*e*n*(2*e^2*log(e*x + d)/d^3 - 2*e^2*log(x)/d^3 - (2*e*x - d)/(d^2*x^2)) + 2*b*log((e*x + d)^n*c)/x^3 + 2*a/x^3)*log(f*x^m)","A",0
366,1,253,0,0.710831," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))/x^5,x, algorithm=""maxima"")","\frac{1}{288} \, {\left(\frac{72 \, {\left(\log\left(\frac{e x}{d} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{e x}{d}\right)\right)} b e^{4} n}{d^{4}} + \frac{18 \, b e^{4} n \log\left(e x + d\right)}{d^{4}} - \frac{72 \, b e^{4} n x^{4} \log\left(e x + d\right) \log\left(x\right) - 36 \, b e^{4} n x^{4} \log\left(x\right)^{2} + 18 \, b e^{4} n x^{4} \log\left(x\right) + 90 \, b d e^{3} n x^{3} - 27 \, b d^{2} e^{2} n x^{2} + 14 \, b d^{3} e n x + 18 \, b d^{4} \log\left({\left(e x + d\right)}^{n}\right) + 18 \, b d^{4} \log\left(c\right) + 18 \, a d^{4}}{d^{4} x^{4}}\right)} m + \frac{1}{24} \, {\left(b e n {\left(\frac{6 \, e^{3} \log\left(e x + d\right)}{d^{4}} - \frac{6 \, e^{3} \log\left(x\right)}{d^{4}} - \frac{6 \, e^{2} x^{2} - 3 \, d e x + 2 \, d^{2}}{d^{3} x^{3}}\right)} - \frac{6 \, b \log\left({\left(e x + d\right)}^{n} c\right)}{x^{4}} - \frac{6 \, a}{x^{4}}\right)} \log\left(f x^{m}\right)"," ",0,"1/288*(72*(log(e*x/d + 1)*log(x) + dilog(-e*x/d))*b*e^4*n/d^4 + 18*b*e^4*n*log(e*x + d)/d^4 - (72*b*e^4*n*x^4*log(e*x + d)*log(x) - 36*b*e^4*n*x^4*log(x)^2 + 18*b*e^4*n*x^4*log(x) + 90*b*d*e^3*n*x^3 - 27*b*d^2*e^2*n*x^2 + 14*b*d^3*e*n*x + 18*b*d^4*log((e*x + d)^n) + 18*b*d^4*log(c) + 18*a*d^4)/(d^4*x^4))*m + 1/24*(b*e*n*(6*e^3*log(e*x + d)/d^4 - 6*e^3*log(x)/d^4 - (6*e^2*x^2 - 3*d*e*x + 2*d^2)/(d^3*x^3)) - 6*b*log((e*x + d)^n*c)/x^4 - 6*a/x^4)*log(f*x^m)","A",0
367,0,0,0,0.000000," ","integrate(x^2*log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-\frac{1}{9} \, {\left(b^{2} {\left(m - 3 \, \log\left(f\right)\right)} x^{3} - 3 \, b^{2} x^{3} \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + \int \frac{9 \, {\left(b^{2} e \log\left(c\right)^{2} \log\left(f\right) + 2 \, a b e \log\left(c\right) \log\left(f\right) + a^{2} e \log\left(f\right)\right)} x^{3} + 9 \, {\left(b^{2} d \log\left(c\right)^{2} \log\left(f\right) + 2 \, a b d \log\left(c\right) \log\left(f\right) + a^{2} d \log\left(f\right)\right)} x^{2} + 2 \, {\left({\left(9 \, a b e \log\left(f\right) + {\left(9 \, e \log\left(c\right) \log\left(f\right) + {\left(m n - 3 \, n \log\left(f\right)\right)} e\right)} b^{2}\right)} x^{3} + 9 \, {\left(b^{2} d \log\left(c\right) \log\left(f\right) + a b d \log\left(f\right)\right)} x^{2} - 3 \, {\left({\left({\left(e n - 3 \, e \log\left(c\right)\right)} b^{2} - 3 \, a b e\right)} x^{3} - 3 \, {\left(b^{2} d \log\left(c\right) + a b d\right)} x^{2}\right)} \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right) + 9 \, {\left({\left(b^{2} e \log\left(c\right)^{2} + 2 \, a b e \log\left(c\right) + a^{2} e\right)} x^{3} + {\left(b^{2} d \log\left(c\right)^{2} + 2 \, a b d \log\left(c\right) + a^{2} d\right)} x^{2}\right)} \log\left(x^{m}\right)}{9 \, {\left(e x + d\right)}}\,{d x}"," ",0,"-1/9*(b^2*(m - 3*log(f))*x^3 - 3*b^2*x^3*log(x^m))*log((e*x + d)^n)^2 + integrate(1/9*(9*(b^2*e*log(c)^2*log(f) + 2*a*b*e*log(c)*log(f) + a^2*e*log(f))*x^3 + 9*(b^2*d*log(c)^2*log(f) + 2*a*b*d*log(c)*log(f) + a^2*d*log(f))*x^2 + 2*((9*a*b*e*log(f) + (9*e*log(c)*log(f) + (m*n - 3*n*log(f))*e)*b^2)*x^3 + 9*(b^2*d*log(c)*log(f) + a*b*d*log(f))*x^2 - 3*(((e*n - 3*e*log(c))*b^2 - 3*a*b*e)*x^3 - 3*(b^2*d*log(c) + a*b*d)*x^2)*log(x^m))*log((e*x + d)^n) + 9*((b^2*e*log(c)^2 + 2*a*b*e*log(c) + a^2*e)*x^3 + (b^2*d*log(c)^2 + 2*a*b*d*log(c) + a^2*d)*x^2)*log(x^m))/(e*x + d), x)","F",0
368,0,0,0,0.000000," ","integrate(x*log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(b^{2} {\left(m - 2 \, \log\left(f\right)\right)} x^{2} - 2 \, b^{2} x^{2} \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + \int \frac{2 \, {\left(b^{2} e \log\left(c\right)^{2} \log\left(f\right) + 2 \, a b e \log\left(c\right) \log\left(f\right) + a^{2} e \log\left(f\right)\right)} x^{2} + 2 \, {\left(b^{2} d \log\left(c\right)^{2} \log\left(f\right) + 2 \, a b d \log\left(c\right) \log\left(f\right) + a^{2} d \log\left(f\right)\right)} x + {\left({\left(4 \, a b e \log\left(f\right) + {\left(4 \, e \log\left(c\right) \log\left(f\right) + {\left(m n - 2 \, n \log\left(f\right)\right)} e\right)} b^{2}\right)} x^{2} + 4 \, {\left(b^{2} d \log\left(c\right) \log\left(f\right) + a b d \log\left(f\right)\right)} x - 2 \, {\left({\left({\left(e n - 2 \, e \log\left(c\right)\right)} b^{2} - 2 \, a b e\right)} x^{2} - 2 \, {\left(b^{2} d \log\left(c\right) + a b d\right)} x\right)} \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right) + 2 \, {\left({\left(b^{2} e \log\left(c\right)^{2} + 2 \, a b e \log\left(c\right) + a^{2} e\right)} x^{2} + {\left(b^{2} d \log\left(c\right)^{2} + 2 \, a b d \log\left(c\right) + a^{2} d\right)} x\right)} \log\left(x^{m}\right)}{2 \, {\left(e x + d\right)}}\,{d x}"," ",0,"-1/4*(b^2*(m - 2*log(f))*x^2 - 2*b^2*x^2*log(x^m))*log((e*x + d)^n)^2 + integrate(1/2*(2*(b^2*e*log(c)^2*log(f) + 2*a*b*e*log(c)*log(f) + a^2*e*log(f))*x^2 + 2*(b^2*d*log(c)^2*log(f) + 2*a*b*d*log(c)*log(f) + a^2*d*log(f))*x + ((4*a*b*e*log(f) + (4*e*log(c)*log(f) + (m*n - 2*n*log(f))*e)*b^2)*x^2 + 4*(b^2*d*log(c)*log(f) + a*b*d*log(f))*x - 2*(((e*n - 2*e*log(c))*b^2 - 2*a*b*e)*x^2 - 2*(b^2*d*log(c) + a*b*d)*x)*log(x^m))*log((e*x + d)^n) + 2*((b^2*e*log(c)^2 + 2*a*b*e*log(c) + a^2*e)*x^2 + (b^2*d*log(c)^2 + 2*a*b*d*log(c) + a^2*d)*x)*log(x^m))/(e*x + d), x)","F",0
369,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-{\left(b^{2} {\left(m - \log\left(f\right)\right)} x - b^{2} x \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + \int \frac{b^{2} d \log\left(c\right)^{2} \log\left(f\right) + 2 \, a b d \log\left(c\right) \log\left(f\right) + a^{2} d \log\left(f\right) + {\left(b^{2} e \log\left(c\right)^{2} \log\left(f\right) + 2 \, a b e \log\left(c\right) \log\left(f\right) + a^{2} e \log\left(f\right)\right)} x + 2 \, {\left(b^{2} d \log\left(c\right) \log\left(f\right) + a b d \log\left(f\right) + {\left(a b e \log\left(f\right) + {\left(e \log\left(c\right) \log\left(f\right) + {\left(m n - n \log\left(f\right)\right)} e\right)} b^{2}\right)} x + {\left(b^{2} d \log\left(c\right) + a b d - {\left({\left(e n - e \log\left(c\right)\right)} b^{2} - a b e\right)} x\right)} \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{2} d \log\left(c\right)^{2} + 2 \, a b d \log\left(c\right) + a^{2} d + {\left(b^{2} e \log\left(c\right)^{2} + 2 \, a b e \log\left(c\right) + a^{2} e\right)} x\right)} \log\left(x^{m}\right)}{e x + d}\,{d x}"," ",0,"-(b^2*(m - log(f))*x - b^2*x*log(x^m))*log((e*x + d)^n)^2 + integrate((b^2*d*log(c)^2*log(f) + 2*a*b*d*log(c)*log(f) + a^2*d*log(f) + (b^2*e*log(c)^2*log(f) + 2*a*b*e*log(c)*log(f) + a^2*e*log(f))*x + 2*(b^2*d*log(c)*log(f) + a*b*d*log(f) + (a*b*e*log(f) + (e*log(c)*log(f) + (m*n - n*log(f))*e)*b^2)*x + (b^2*d*log(c) + a*b*d - ((e*n - e*log(c))*b^2 - a*b*e)*x)*log(x^m))*log((e*x + d)^n) + (b^2*d*log(c)^2 + 2*a*b*d*log(c) + a^2*d + (b^2*e*log(c)^2 + 2*a*b*e*log(c) + a^2*e)*x)*log(x^m))/(e*x + d), x)","F",0
370,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(b^{2} m \log\left(x\right)^{2} - 2 \, b^{2} \log\left(f\right) \log\left(x\right) - 2 \, b^{2} \log\left(x\right) \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} - \int -\frac{b^{2} d \log\left(c\right)^{2} \log\left(f\right) + 2 \, a b d \log\left(c\right) \log\left(f\right) + a^{2} d \log\left(f\right) + {\left(b^{2} e \log\left(c\right)^{2} \log\left(f\right) + 2 \, a b e \log\left(c\right) \log\left(f\right) + a^{2} e \log\left(f\right)\right)} x + {\left(b^{2} e m n x \log\left(x\right)^{2} - 2 \, b^{2} e n x \log\left(f\right) \log\left(x\right) + 2 \, b^{2} d \log\left(c\right) \log\left(f\right) + 2 \, a b d \log\left(f\right) + 2 \, {\left(b^{2} e \log\left(c\right) \log\left(f\right) + a b e \log\left(f\right)\right)} x - 2 \, {\left(b^{2} e n x \log\left(x\right) - b^{2} d \log\left(c\right) - a b d - {\left(b^{2} e \log\left(c\right) + a b e\right)} x\right)} \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{2} d \log\left(c\right)^{2} + 2 \, a b d \log\left(c\right) + a^{2} d + {\left(b^{2} e \log\left(c\right)^{2} + 2 \, a b e \log\left(c\right) + a^{2} e\right)} x\right)} \log\left(x^{m}\right)}{e x^{2} + d x}\,{d x}"," ",0,"-1/2*(b^2*m*log(x)^2 - 2*b^2*log(f)*log(x) - 2*b^2*log(x)*log(x^m))*log((e*x + d)^n)^2 - integrate(-(b^2*d*log(c)^2*log(f) + 2*a*b*d*log(c)*log(f) + a^2*d*log(f) + (b^2*e*log(c)^2*log(f) + 2*a*b*e*log(c)*log(f) + a^2*e*log(f))*x + (b^2*e*m*n*x*log(x)^2 - 2*b^2*e*n*x*log(f)*log(x) + 2*b^2*d*log(c)*log(f) + 2*a*b*d*log(f) + 2*(b^2*e*log(c)*log(f) + a*b*e*log(f))*x - 2*(b^2*e*n*x*log(x) - b^2*d*log(c) - a*b*d - (b^2*e*log(c) + a*b*e)*x)*log(x^m))*log((e*x + d)^n) + (b^2*d*log(c)^2 + 2*a*b*d*log(c) + a^2*d + (b^2*e*log(c)^2 + 2*a*b*e*log(c) + a^2*e)*x)*log(x^m))/(e*x^2 + d*x), x)","F",0
371,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2/x^2,x, algorithm=""maxima"")","-\frac{{\left(b^{2} {\left(m + \log\left(f\right)\right)} + b^{2} \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2}}{x} + \int \frac{b^{2} d \log\left(c\right)^{2} \log\left(f\right) + 2 \, a b d \log\left(c\right) \log\left(f\right) + a^{2} d \log\left(f\right) + {\left(b^{2} e \log\left(c\right)^{2} \log\left(f\right) + 2 \, a b e \log\left(c\right) \log\left(f\right) + a^{2} e \log\left(f\right)\right)} x + 2 \, {\left(b^{2} d \log\left(c\right) \log\left(f\right) + a b d \log\left(f\right) + {\left(a b e \log\left(f\right) + {\left(e \log\left(c\right) \log\left(f\right) + {\left(m n + n \log\left(f\right)\right)} e\right)} b^{2}\right)} x + {\left(b^{2} d \log\left(c\right) + a b d + {\left({\left(e n + e \log\left(c\right)\right)} b^{2} + a b e\right)} x\right)} \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{2} d \log\left(c\right)^{2} + 2 \, a b d \log\left(c\right) + a^{2} d + {\left(b^{2} e \log\left(c\right)^{2} + 2 \, a b e \log\left(c\right) + a^{2} e\right)} x\right)} \log\left(x^{m}\right)}{e x^{3} + d x^{2}}\,{d x}"," ",0,"-(b^2*(m + log(f)) + b^2*log(x^m))*log((e*x + d)^n)^2/x + integrate((b^2*d*log(c)^2*log(f) + 2*a*b*d*log(c)*log(f) + a^2*d*log(f) + (b^2*e*log(c)^2*log(f) + 2*a*b*e*log(c)*log(f) + a^2*e*log(f))*x + 2*(b^2*d*log(c)*log(f) + a*b*d*log(f) + (a*b*e*log(f) + (e*log(c)*log(f) + (m*n + n*log(f))*e)*b^2)*x + (b^2*d*log(c) + a*b*d + ((e*n + e*log(c))*b^2 + a*b*e)*x)*log(x^m))*log((e*x + d)^n) + (b^2*d*log(c)^2 + 2*a*b*d*log(c) + a^2*d + (b^2*e*log(c)^2 + 2*a*b*e*log(c) + a^2*e)*x)*log(x^m))/(e*x^3 + d*x^2), x)","F",0
372,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2/x^3,x, algorithm=""maxima"")","-\frac{{\left(b^{2} {\left(m + 2 \, \log\left(f\right)\right)} + 2 \, b^{2} \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2}}{4 \, x^{2}} + \int \frac{2 \, b^{2} d \log\left(c\right)^{2} \log\left(f\right) + 4 \, a b d \log\left(c\right) \log\left(f\right) + 2 \, a^{2} d \log\left(f\right) + 2 \, {\left(b^{2} e \log\left(c\right)^{2} \log\left(f\right) + 2 \, a b e \log\left(c\right) \log\left(f\right) + a^{2} e \log\left(f\right)\right)} x + {\left(4 \, b^{2} d \log\left(c\right) \log\left(f\right) + 4 \, a b d \log\left(f\right) + {\left(4 \, a b e \log\left(f\right) + {\left(4 \, e \log\left(c\right) \log\left(f\right) + {\left(m n + 2 \, n \log\left(f\right)\right)} e\right)} b^{2}\right)} x + 2 \, {\left(2 \, b^{2} d \log\left(c\right) + 2 \, a b d + {\left({\left(e n + 2 \, e \log\left(c\right)\right)} b^{2} + 2 \, a b e\right)} x\right)} \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right) + 2 \, {\left(b^{2} d \log\left(c\right)^{2} + 2 \, a b d \log\left(c\right) + a^{2} d + {\left(b^{2} e \log\left(c\right)^{2} + 2 \, a b e \log\left(c\right) + a^{2} e\right)} x\right)} \log\left(x^{m}\right)}{2 \, {\left(e x^{4} + d x^{3}\right)}}\,{d x}"," ",0,"-1/4*(b^2*(m + 2*log(f)) + 2*b^2*log(x^m))*log((e*x + d)^n)^2/x^2 + integrate(1/2*(2*b^2*d*log(c)^2*log(f) + 4*a*b*d*log(c)*log(f) + 2*a^2*d*log(f) + 2*(b^2*e*log(c)^2*log(f) + 2*a*b*e*log(c)*log(f) + a^2*e*log(f))*x + (4*b^2*d*log(c)*log(f) + 4*a*b*d*log(f) + (4*a*b*e*log(f) + (4*e*log(c)*log(f) + (m*n + 2*n*log(f))*e)*b^2)*x + 2*(2*b^2*d*log(c) + 2*a*b*d + ((e*n + 2*e*log(c))*b^2 + 2*a*b*e)*x)*log(x^m))*log((e*x + d)^n) + 2*(b^2*d*log(c)^2 + 2*a*b*d*log(c) + a^2*d + (b^2*e*log(c)^2 + 2*a*b*e*log(c) + a^2*e)*x)*log(x^m))/(e*x^4 + d*x^3), x)","F",0
373,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""maxima"")","-{\left(b^{3} {\left(m - \log\left(f\right)\right)} x - b^{3} x \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)^{3} + \int \frac{b^{3} d \log\left(c\right)^{3} \log\left(f\right) + 3 \, a b^{2} d \log\left(c\right)^{2} \log\left(f\right) + 3 \, a^{2} b d \log\left(c\right) \log\left(f\right) + a^{3} d \log\left(f\right) + 3 \, {\left(b^{3} d \log\left(c\right) \log\left(f\right) + a b^{2} d \log\left(f\right) + {\left(a b^{2} e \log\left(f\right) + {\left(e \log\left(c\right) \log\left(f\right) + {\left(m n - n \log\left(f\right)\right)} e\right)} b^{3}\right)} x + {\left(b^{3} d \log\left(c\right) + a b^{2} d - {\left({\left(e n - e \log\left(c\right)\right)} b^{3} - a b^{2} e\right)} x\right)} \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + {\left(b^{3} e \log\left(c\right)^{3} \log\left(f\right) + 3 \, a b^{2} e \log\left(c\right)^{2} \log\left(f\right) + 3 \, a^{2} b e \log\left(c\right) \log\left(f\right) + a^{3} e \log\left(f\right)\right)} x + 3 \, {\left(b^{3} d \log\left(c\right)^{2} \log\left(f\right) + 2 \, a b^{2} d \log\left(c\right) \log\left(f\right) + a^{2} b d \log\left(f\right) + {\left(b^{3} e \log\left(c\right)^{2} \log\left(f\right) + 2 \, a b^{2} e \log\left(c\right) \log\left(f\right) + a^{2} b e \log\left(f\right)\right)} x + {\left(b^{3} d \log\left(c\right)^{2} + 2 \, a b^{2} d \log\left(c\right) + a^{2} b d + {\left(b^{3} e \log\left(c\right)^{2} + 2 \, a b^{2} e \log\left(c\right) + a^{2} b e\right)} x\right)} \log\left(x^{m}\right)\right)} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{3} d \log\left(c\right)^{3} + 3 \, a b^{2} d \log\left(c\right)^{2} + 3 \, a^{2} b d \log\left(c\right) + a^{3} d + {\left(b^{3} e \log\left(c\right)^{3} + 3 \, a b^{2} e \log\left(c\right)^{2} + 3 \, a^{2} b e \log\left(c\right) + a^{3} e\right)} x\right)} \log\left(x^{m}\right)}{e x + d}\,{d x}"," ",0,"-(b^3*(m - log(f))*x - b^3*x*log(x^m))*log((e*x + d)^n)^3 + integrate((b^3*d*log(c)^3*log(f) + 3*a*b^2*d*log(c)^2*log(f) + 3*a^2*b*d*log(c)*log(f) + a^3*d*log(f) + 3*(b^3*d*log(c)*log(f) + a*b^2*d*log(f) + (a*b^2*e*log(f) + (e*log(c)*log(f) + (m*n - n*log(f))*e)*b^3)*x + (b^3*d*log(c) + a*b^2*d - ((e*n - e*log(c))*b^3 - a*b^2*e)*x)*log(x^m))*log((e*x + d)^n)^2 + (b^3*e*log(c)^3*log(f) + 3*a*b^2*e*log(c)^2*log(f) + 3*a^2*b*e*log(c)*log(f) + a^3*e*log(f))*x + 3*(b^3*d*log(c)^2*log(f) + 2*a*b^2*d*log(c)*log(f) + a^2*b*d*log(f) + (b^3*e*log(c)^2*log(f) + 2*a*b^2*e*log(c)*log(f) + a^2*b*e*log(f))*x + (b^3*d*log(c)^2 + 2*a*b^2*d*log(c) + a^2*b*d + (b^3*e*log(c)^2 + 2*a*b^2*e*log(c) + a^2*b*e)*x)*log(x^m))*log((e*x + d)^n) + (b^3*d*log(c)^3 + 3*a*b^2*d*log(c)^2 + 3*a^2*b*d*log(c) + a^3*d + (b^3*e*log(c)^3 + 3*a*b^2*e*log(c)^2 + 3*a^2*b*e*log(c) + a^3*e)*x)*log(x^m))/(e*x + d), x)","F",0
374,0,0,0,0.000000," ","integrate(log(x)*log(b*x+a)^2/x,x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(b x + a\right)^{2} \log\left(x\right)^{2} - b \int \frac{\log\left(b x + a\right) \log\left(x\right)^{2}}{b x + a}\,{d x}"," ",0,"1/2*log(b*x + a)^2*log(x)^2 - b*integrate(log(b*x + a)*log(x)^2/(b*x + a), x)","F",0
375,0,0,0,0.000000," ","integrate(log(f*x^m)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\int \frac{\log\left(f x^{m}\right)}{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate(log(f*x^m)/(b*log((e*x + d)^n*c) + a), x)","F",0
376,0,0,0,0.000000," ","integrate(log(f*x^m)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""maxima"")","-\frac{e x \log\left(f\right) + d \log\left(f\right) + {\left(e x + d\right)} \log\left(x^{m}\right)}{b^{2} e n \log\left({\left(e x + d\right)}^{n}\right) + b^{2} e n \log\left(c\right) + a b e n} + \int \frac{e {\left(m + \log\left(f\right)\right)} x + e x \log\left(x^{m}\right) + d m}{b^{2} e n x \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{2} e n \log\left(c\right) + a b e n\right)} x}\,{d x}"," ",0,"-(e*x*log(f) + d*log(f) + (e*x + d)*log(x^m))/(b^2*e*n*log((e*x + d)^n) + b^2*e*n*log(c) + a*b*e*n) + integrate((e*(m + log(f))*x + e*x*log(x^m) + d*m)/(b^2*e*n*x*log((e*x + d)^n) + (b^2*e*n*log(c) + a*b*e*n)*x), x)","F",0
377,-2,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^p,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
378,0,0,0,0.000000," ","integrate(log(b*x+a)*log(d*x+c)/x,x, algorithm=""maxima"")","\int \frac{\log\left(b x + a\right) \log\left(d x + c\right)}{x}\,{d x}"," ",0,"integrate(log(b*x + a)*log(d*x + c)/x, x)","F",0
379,1,274,0,0.502796," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\frac{1}{3} \, b g x^{3} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + \frac{1}{3} \, b f x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{3} \, a g x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{3} \, a f x^{3} + \frac{1}{18} \, b e f n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} + \frac{1}{18} \, a e g n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} + \frac{1}{54} \, {\left(6 \, e n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(4 \, e^{3} x^{3} - 15 \, d e^{2} x^{2} - 18 \, d^{3} \log\left(e x + d\right)^{2} + 66 \, d^{2} e x - 66 \, d^{3} \log\left(e x + d\right)\right)} n^{2}}{e^{3}}\right)} b g"," ",0,"1/3*b*g*x^3*log((e*x + d)^n*c)^2 + 1/3*b*f*x^3*log((e*x + d)^n*c) + 1/3*a*g*x^3*log((e*x + d)^n*c) + 1/3*a*f*x^3 + 1/18*b*e*f*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3) + 1/18*a*e*g*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3) + 1/54*(6*e*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3)*log((e*x + d)^n*c) + (4*e^3*x^3 - 15*d*e^2*x^2 - 18*d^3*log(e*x + d)^2 + 66*d^2*e*x - 66*d^3*log(e*x + d))*n^2/e^3)*b*g","A",0
380,1,224,0,0.528390," ","integrate(x*(a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","\frac{1}{2} \, b g x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} - \frac{1}{4} \, b e f n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} - \frac{1}{4} \, a e g n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + \frac{1}{2} \, b f x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{2} \, a g x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{2} \, a f x^{2} - \frac{1}{4} \, {\left(2 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) - \frac{{\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{2}}\right)} b g"," ",0,"1/2*b*g*x^2*log((e*x + d)^n*c)^2 - 1/4*b*e*f*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) - 1/4*a*e*g*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + 1/2*b*f*x^2*log((e*x + d)^n*c) + 1/2*a*g*x^2*log((e*x + d)^n*c) + 1/2*a*f*x^2 - 1/4*(2*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c) - (e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n^2/e^2)*b*g","A",0
381,1,165,0,0.499758," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n)),x, algorithm=""maxima"")","-b e f n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} - a e g n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + b g x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + b f x \log\left({\left(e x + d\right)}^{n} c\right) + a g x \log\left({\left(e x + d\right)}^{n} c\right) - {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} b g + a f x"," ",0,"-b*e*f*n*(x/e - d*log(e*x + d)/e^2) - a*e*g*n*(x/e - d*log(e*x + d)/e^2) + b*g*x*log((e*x + d)^n*c)^2 + b*f*x*log((e*x + d)^n*c) + a*g*x*log((e*x + d)^n*c) - (2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*b*g + a*f*x","A",0
382,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n))/x,x, algorithm=""maxima"")","a f \log\left(x\right) + \int \frac{b g \log\left({\left(e x + d\right)}^{n}\right)^{2} + a g \log\left(c\right) + {\left(g \log\left(c\right)^{2} + f \log\left(c\right)\right)} b + {\left({\left(2 \, g \log\left(c\right) + f\right)} b + a g\right)} \log\left({\left(e x + d\right)}^{n}\right)}{x}\,{d x}"," ",0,"a*f*log(x) + integrate((b*g*log((e*x + d)^n)^2 + a*g*log(c) + (g*log(c)^2 + f*log(c))*b + ((2*g*log(c) + f)*b + a*g)*log((e*x + d)^n))/x, x)","F",0
383,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n))/x^2,x, algorithm=""maxima"")","-b e f n {\left(\frac{\log\left(e x + d\right)}{d} - \frac{\log\left(x\right)}{d}\right)} - a e g n {\left(\frac{\log\left(e x + d\right)}{d} - \frac{\log\left(x\right)}{d}\right)} - b g {\left(\frac{\log\left({\left(e x + d\right)}^{n}\right)^{2}}{x} - \int \frac{e x \log\left(c\right)^{2} + d \log\left(c\right)^{2} + 2 \, {\left({\left(e n + e \log\left(c\right)\right)} x + d \log\left(c\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)}{e x^{3} + d x^{2}}\,{d x}\right)} - \frac{b f \log\left({\left(e x + d\right)}^{n} c\right)}{x} - \frac{a g \log\left({\left(e x + d\right)}^{n} c\right)}{x} - \frac{a f}{x}"," ",0,"-b*e*f*n*(log(e*x + d)/d - log(x)/d) - a*e*g*n*(log(e*x + d)/d - log(x)/d) - b*g*(log((e*x + d)^n)^2/x - integrate((e*x*log(c)^2 + d*log(c)^2 + 2*((e*n + e*log(c))*x + d*log(c))*log((e*x + d)^n))/(e*x^3 + d*x^2), x)) - b*f*log((e*x + d)^n*c)/x - a*g*log((e*x + d)^n*c)/x - a*f/x","F",0
384,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n))/x^3,x, algorithm=""maxima"")","\frac{1}{2} \, b e f n {\left(\frac{e \log\left(e x + d\right)}{d^{2}} - \frac{e \log\left(x\right)}{d^{2}} - \frac{1}{d x}\right)} + \frac{1}{2} \, a e g n {\left(\frac{e \log\left(e x + d\right)}{d^{2}} - \frac{e \log\left(x\right)}{d^{2}} - \frac{1}{d x}\right)} - \frac{1}{2} \, b g {\left(\frac{\log\left({\left(e x + d\right)}^{n}\right)^{2}}{x^{2}} - 2 \, \int \frac{e x \log\left(c\right)^{2} + d \log\left(c\right)^{2} + {\left({\left(e n + 2 \, e \log\left(c\right)\right)} x + 2 \, d \log\left(c\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)}{e x^{4} + d x^{3}}\,{d x}\right)} - \frac{b f \log\left({\left(e x + d\right)}^{n} c\right)}{2 \, x^{2}} - \frac{a g \log\left({\left(e x + d\right)}^{n} c\right)}{2 \, x^{2}} - \frac{a f}{2 \, x^{2}}"," ",0,"1/2*b*e*f*n*(e*log(e*x + d)/d^2 - e*log(x)/d^2 - 1/(d*x)) + 1/2*a*e*g*n*(e*log(e*x + d)/d^2 - e*log(x)/d^2 - 1/(d*x)) - 1/2*b*g*(log((e*x + d)^n)^2/x^2 - 2*integrate((e*x*log(c)^2 + d*log(c)^2 + ((e*n + 2*e*log(c))*x + 2*d*log(c))*log((e*x + d)^n))/(e*x^4 + d*x^3), x)) - 1/2*b*f*log((e*x + d)^n*c)/x^2 - 1/2*a*g*log((e*x + d)^n*c)/x^2 - 1/2*a*f/x^2","F",0
385,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n))/x^4,x, algorithm=""maxima"")","-\frac{1}{6} \, b e f n {\left(\frac{2 \, e^{2} \log\left(e x + d\right)}{d^{3}} - \frac{2 \, e^{2} \log\left(x\right)}{d^{3}} - \frac{2 \, e x - d}{d^{2} x^{2}}\right)} - \frac{1}{6} \, a e g n {\left(\frac{2 \, e^{2} \log\left(e x + d\right)}{d^{3}} - \frac{2 \, e^{2} \log\left(x\right)}{d^{3}} - \frac{2 \, e x - d}{d^{2} x^{2}}\right)} - \frac{1}{3} \, b g {\left(\frac{\log\left({\left(e x + d\right)}^{n}\right)^{2}}{x^{3}} - 3 \, \int \frac{3 \, e x \log\left(c\right)^{2} + 3 \, d \log\left(c\right)^{2} + 2 \, {\left({\left(e n + 3 \, e \log\left(c\right)\right)} x + 3 \, d \log\left(c\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)}{3 \, {\left(e x^{5} + d x^{4}\right)}}\,{d x}\right)} - \frac{b f \log\left({\left(e x + d\right)}^{n} c\right)}{3 \, x^{3}} - \frac{a g \log\left({\left(e x + d\right)}^{n} c\right)}{3 \, x^{3}} - \frac{a f}{3 \, x^{3}}"," ",0,"-1/6*b*e*f*n*(2*e^2*log(e*x + d)/d^3 - 2*e^2*log(x)/d^3 - (2*e*x - d)/(d^2*x^2)) - 1/6*a*e*g*n*(2*e^2*log(e*x + d)/d^3 - 2*e^2*log(x)/d^3 - (2*e*x - d)/(d^2*x^2)) - 1/3*b*g*(log((e*x + d)^n)^2/x^3 - 3*integrate(1/3*(3*e*x*log(c)^2 + 3*d*log(c)^2 + 2*((e*n + 3*e*log(c))*x + 3*d*log(c))*log((e*x + d)^n))/(e*x^5 + d*x^4), x)) - 1/3*b*f*log((e*x + d)^n*c)/x^3 - 1/3*a*g*log((e*x + d)^n*c)/x^3 - 1/3*a*f/x^3","F",0
386,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m)),x, algorithm=""maxima"")","\frac{1}{4} \, b f x^{4} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{4} \, a g x^{4} \log\left({\left(j x + i\right)}^{m} h\right) + \frac{1}{4} \, a f x^{4} - \frac{1}{48} \, b e f n {\left(\frac{12 \, d^{4} \log\left(e x + d\right)}{e^{5}} + \frac{3 \, e^{3} x^{4} - 4 \, d e^{2} x^{3} + 6 \, d^{2} e x^{2} - 12 \, d^{3} x}{e^{4}}\right)} - \frac{1}{48} \, a g j m {\left(\frac{12 \, i^{4} \log\left(j x + i\right)}{j^{5}} + \frac{3 \, j^{3} x^{4} - 4 \, i j^{2} x^{3} + 6 \, i^{2} j x^{2} - 12 \, i^{3} x}{j^{4}}\right)} + \frac{1}{48} \, b g {\left(\frac{12 \, e^{4} i^{4} m n \log\left(e x + d\right) \log\left(j x + i\right) + {\left(4 \, e^{4} i j^{3} m x^{3} - 6 \, e^{4} i^{2} j^{2} m x^{2} + 12 \, e^{4} i^{3} j m x - 12 \, e^{4} i^{4} m \log\left(j x + i\right) - 3 \, {\left(j^{4} m - 4 \, j^{4} \log\left(h\right)\right)} e^{4} x^{4}\right)} \log\left({\left(e x + d\right)}^{n}\right) + {\left(12 \, e^{4} j^{4} x^{4} \log\left({\left(e x + d\right)}^{n}\right) + 4 \, d e^{3} j^{4} n x^{3} - 6 \, d^{2} e^{2} j^{4} n x^{2} + 12 \, d^{3} e j^{4} n x - 12 \, d^{4} j^{4} n \log\left(e x + d\right) - 3 \, {\left(e^{4} j^{4} n - 4 \, e^{4} j^{4} \log\left(c\right)\right)} x^{4}\right)} \log\left({\left(j x + i\right)}^{m}\right)}{e^{4} j^{4}} + 48 \, \int -\frac{6 \, {\left(2 \, {\left(j^{4} m - 4 \, j^{4} \log\left(h\right)\right)} e^{5} \log\left(c\right) - {\left(j^{4} m n - 2 \, j^{4} n \log\left(h\right)\right)} e^{5}\right)} x^{5} + {\left(d e^{4} j^{4} m n + {\left(i j^{3} m n + 12 \, i j^{3} n \log\left(h\right)\right)} e^{5} - 12 \, {\left(4 \, e^{5} i j^{3} \log\left(h\right) - {\left(j^{4} m - 4 \, j^{4} \log\left(h\right)\right)} d e^{4}\right)} \log\left(c\right)\right)} x^{4} - 2 \, {\left(e^{5} i^{2} j^{2} m n + d^{2} e^{3} j^{4} m n + 24 \, d e^{4} i j^{3} \log\left(c\right) \log\left(h\right)\right)} x^{3} + 6 \, {\left(e^{5} i^{3} j m n + d^{3} e^{2} j^{4} m n\right)} x^{2} + 12 \, {\left(e^{5} i^{4} m n + d^{4} e j^{4} m n\right)} x + 12 \, {\left(d e^{4} i^{4} m n - d^{5} j^{4} m n + {\left(e^{5} i^{4} m n - d^{4} e j^{4} m n\right)} x\right)} \log\left(e x + d\right)}{48 \, {\left(e^{5} j^{4} x^{2} + d e^{4} i j^{3} + {\left(e^{5} i j^{3} + d e^{4} j^{4}\right)} x\right)}}\,{d x}\right)}"," ",0,"1/4*b*f*x^4*log((e*x + d)^n*c) + 1/4*a*g*x^4*log((j*x + i)^m*h) + 1/4*a*f*x^4 - 1/48*b*e*f*n*(12*d^4*log(e*x + d)/e^5 + (3*e^3*x^4 - 4*d*e^2*x^3 + 6*d^2*e*x^2 - 12*d^3*x)/e^4) - 1/48*a*g*j*m*(12*i^4*log(j*x + i)/j^5 + (3*j^3*x^4 - 4*i*j^2*x^3 + 6*i^2*j*x^2 - 12*i^3*x)/j^4) + 1/48*b*g*((12*e^4*i^4*m*n*log(e*x + d)*log(j*x + i) + (4*e^4*i*j^3*m*x^3 - 6*e^4*i^2*j^2*m*x^2 + 12*e^4*i^3*j*m*x - 12*e^4*i^4*m*log(j*x + i) - 3*(j^4*m - 4*j^4*log(h))*e^4*x^4)*log((e*x + d)^n) + (12*e^4*j^4*x^4*log((e*x + d)^n) + 4*d*e^3*j^4*n*x^3 - 6*d^2*e^2*j^4*n*x^2 + 12*d^3*e*j^4*n*x - 12*d^4*j^4*n*log(e*x + d) - 3*(e^4*j^4*n - 4*e^4*j^4*log(c))*x^4)*log((j*x + i)^m))/(e^4*j^4) + 48*integrate(-1/48*(6*(2*(j^4*m - 4*j^4*log(h))*e^5*log(c) - (j^4*m*n - 2*j^4*n*log(h))*e^5)*x^5 + (d*e^4*j^4*m*n + (i*j^3*m*n + 12*i*j^3*n*log(h))*e^5 - 12*(4*e^5*i*j^3*log(h) - (j^4*m - 4*j^4*log(h))*d*e^4)*log(c))*x^4 - 2*(e^5*i^2*j^2*m*n + d^2*e^3*j^4*m*n + 24*d*e^4*i*j^3*log(c)*log(h))*x^3 + 6*(e^5*i^3*j*m*n + d^3*e^2*j^4*m*n)*x^2 + 12*(e^5*i^4*m*n + d^4*e*j^4*m*n)*x + 12*(d*e^4*i^4*m*n - d^5*j^4*m*n + (e^5*i^4*m*n - d^4*e*j^4*m*n)*x)*log(e*x + d))/(e^5*j^4*x^2 + d*e^4*i*j^3 + (e^5*i*j^3 + d*e^4*j^4)*x), x))","F",0
387,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m)),x, algorithm=""maxima"")","\frac{1}{3} \, b f x^{3} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{3} \, a g x^{3} \log\left({\left(j x + i\right)}^{m} h\right) + \frac{1}{3} \, a f x^{3} + \frac{1}{18} \, b e f n {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} + \frac{1}{18} \, a g j m {\left(\frac{6 \, i^{3} \log\left(j x + i\right)}{j^{4}} - \frac{2 \, j^{2} x^{3} - 3 \, i j x^{2} + 6 \, i^{2} x}{j^{3}}\right)} - \frac{1}{18} \, b g {\left(\frac{6 \, e^{3} i^{3} m n \log\left(e x + d\right) \log\left(j x + i\right) - {\left(3 \, e^{3} i j^{2} m x^{2} - 6 \, e^{3} i^{2} j m x + 6 \, e^{3} i^{3} m \log\left(j x + i\right) - 2 \, {\left(j^{3} m - 3 \, j^{3} \log\left(h\right)\right)} e^{3} x^{3}\right)} \log\left({\left(e x + d\right)}^{n}\right) - {\left(6 \, e^{3} j^{3} x^{3} \log\left({\left(e x + d\right)}^{n}\right) + 3 \, d e^{2} j^{3} n x^{2} - 6 \, d^{2} e j^{3} n x + 6 \, d^{3} j^{3} n \log\left(e x + d\right) - 2 \, {\left(e^{3} j^{3} n - 3 \, e^{3} j^{3} \log\left(c\right)\right)} x^{3}\right)} \log\left({\left(j x + i\right)}^{m}\right)}{e^{3} j^{3}} + 18 \, \int \frac{2 \, {\left(3 \, {\left(j^{3} m - 3 \, j^{3} \log\left(h\right)\right)} e^{4} \log\left(c\right) - {\left(2 \, j^{3} m n - 3 \, j^{3} n \log\left(h\right)\right)} e^{4}\right)} x^{4} + {\left(d e^{3} j^{3} m n + {\left(i j^{2} m n + 6 \, i j^{2} n \log\left(h\right)\right)} e^{4} - 6 \, {\left(3 \, e^{4} i j^{2} \log\left(h\right) - {\left(j^{3} m - 3 \, j^{3} \log\left(h\right)\right)} d e^{3}\right)} \log\left(c\right)\right)} x^{3} - 3 \, {\left(e^{4} i^{2} j m n + d^{2} e^{2} j^{3} m n + 6 \, d e^{3} i j^{2} \log\left(c\right) \log\left(h\right)\right)} x^{2} - 6 \, {\left(e^{4} i^{3} m n + d^{3} e j^{3} m n\right)} x - 6 \, {\left(d e^{3} i^{3} m n - d^{4} j^{3} m n + {\left(e^{4} i^{3} m n - d^{3} e j^{3} m n\right)} x\right)} \log\left(e x + d\right)}{18 \, {\left(e^{4} j^{3} x^{2} + d e^{3} i j^{2} + {\left(e^{4} i j^{2} + d e^{3} j^{3}\right)} x\right)}}\,{d x}\right)}"," ",0,"1/3*b*f*x^3*log((e*x + d)^n*c) + 1/3*a*g*x^3*log((j*x + i)^m*h) + 1/3*a*f*x^3 + 1/18*b*e*f*n*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3) + 1/18*a*g*j*m*(6*i^3*log(j*x + i)/j^4 - (2*j^2*x^3 - 3*i*j*x^2 + 6*i^2*x)/j^3) - 1/18*b*g*((6*e^3*i^3*m*n*log(e*x + d)*log(j*x + i) - (3*e^3*i*j^2*m*x^2 - 6*e^3*i^2*j*m*x + 6*e^3*i^3*m*log(j*x + i) - 2*(j^3*m - 3*j^3*log(h))*e^3*x^3)*log((e*x + d)^n) - (6*e^3*j^3*x^3*log((e*x + d)^n) + 3*d*e^2*j^3*n*x^2 - 6*d^2*e*j^3*n*x + 6*d^3*j^3*n*log(e*x + d) - 2*(e^3*j^3*n - 3*e^3*j^3*log(c))*x^3)*log((j*x + i)^m))/(e^3*j^3) + 18*integrate(1/18*(2*(3*(j^3*m - 3*j^3*log(h))*e^4*log(c) - (2*j^3*m*n - 3*j^3*n*log(h))*e^4)*x^4 + (d*e^3*j^3*m*n + (i*j^2*m*n + 6*i*j^2*n*log(h))*e^4 - 6*(3*e^4*i*j^2*log(h) - (j^3*m - 3*j^3*log(h))*d*e^3)*log(c))*x^3 - 3*(e^4*i^2*j*m*n + d^2*e^2*j^3*m*n + 6*d*e^3*i*j^2*log(c)*log(h))*x^2 - 6*(e^4*i^3*m*n + d^3*e*j^3*m*n)*x - 6*(d*e^3*i^3*m*n - d^4*j^3*m*n + (e^4*i^3*m*n - d^3*e*j^3*m*n)*x)*log(e*x + d))/(e^4*j^3*x^2 + d*e^3*i*j^2 + (e^4*i*j^2 + d*e^3*j^3)*x), x))","F",0
388,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m)),x, algorithm=""maxima"")","-\frac{1}{4} \, b e f n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} - \frac{1}{4} \, a g j m {\left(\frac{2 \, i^{2} \log\left(j x + i\right)}{j^{3}} + \frac{j x^{2} - 2 \, i x}{j^{2}}\right)} + \frac{1}{2} \, b f x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{2} \, a g x^{2} \log\left({\left(j x + i\right)}^{m} h\right) + \frac{1}{2} \, a f x^{2} + \frac{1}{4} \, b g {\left(\frac{2 \, e^{2} i^{2} m n \log\left(e x + d\right) \log\left(j x + i\right) + {\left(2 \, e^{2} i j m x - 2 \, e^{2} i^{2} m \log\left(j x + i\right) - {\left(j^{2} m - 2 \, j^{2} \log\left(h\right)\right)} e^{2} x^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right) + {\left(2 \, e^{2} j^{2} x^{2} \log\left({\left(e x + d\right)}^{n}\right) + 2 \, d e j^{2} n x - 2 \, d^{2} j^{2} n \log\left(e x + d\right) - {\left(e^{2} j^{2} n - 2 \, e^{2} j^{2} \log\left(c\right)\right)} x^{2}\right)} \log\left({\left(j x + i\right)}^{m}\right)}{e^{2} j^{2}} + 4 \, \int -\frac{2 \, {\left({\left(j^{2} m - 2 \, j^{2} \log\left(h\right)\right)} e^{3} \log\left(c\right) - {\left(j^{2} m n - j^{2} n \log\left(h\right)\right)} e^{3}\right)} x^{3} + {\left(d e^{2} j^{2} m n + {\left(i j m n + 2 \, i j n \log\left(h\right)\right)} e^{3} - 2 \, {\left(2 \, e^{3} i j \log\left(h\right) - {\left(j^{2} m - 2 \, j^{2} \log\left(h\right)\right)} d e^{2}\right)} \log\left(c\right)\right)} x^{2} + 2 \, {\left(e^{3} i^{2} m n + d^{2} e j^{2} m n - 2 \, d e^{2} i j \log\left(c\right) \log\left(h\right)\right)} x + 2 \, {\left(d e^{2} i^{2} m n - d^{3} j^{2} m n + {\left(e^{3} i^{2} m n - d^{2} e j^{2} m n\right)} x\right)} \log\left(e x + d\right)}{4 \, {\left(e^{3} j^{2} x^{2} + d e^{2} i j + {\left(e^{3} i j + d e^{2} j^{2}\right)} x\right)}}\,{d x}\right)}"," ",0,"-1/4*b*e*f*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) - 1/4*a*g*j*m*(2*i^2*log(j*x + i)/j^3 + (j*x^2 - 2*i*x)/j^2) + 1/2*b*f*x^2*log((e*x + d)^n*c) + 1/2*a*g*x^2*log((j*x + i)^m*h) + 1/2*a*f*x^2 + 1/4*b*g*((2*e^2*i^2*m*n*log(e*x + d)*log(j*x + i) + (2*e^2*i*j*m*x - 2*e^2*i^2*m*log(j*x + i) - (j^2*m - 2*j^2*log(h))*e^2*x^2)*log((e*x + d)^n) + (2*e^2*j^2*x^2*log((e*x + d)^n) + 2*d*e*j^2*n*x - 2*d^2*j^2*n*log(e*x + d) - (e^2*j^2*n - 2*e^2*j^2*log(c))*x^2)*log((j*x + i)^m))/(e^2*j^2) + 4*integrate(-1/4*(2*((j^2*m - 2*j^2*log(h))*e^3*log(c) - (j^2*m*n - j^2*n*log(h))*e^3)*x^3 + (d*e^2*j^2*m*n + (i*j*m*n + 2*i*j*n*log(h))*e^3 - 2*(2*e^3*i*j*log(h) - (j^2*m - 2*j^2*log(h))*d*e^2)*log(c))*x^2 + 2*(e^3*i^2*m*n + d^2*e*j^2*m*n - 2*d*e^2*i*j*log(c)*log(h))*x + 2*(d*e^2*i^2*m*n - d^3*j^2*m*n + (e^3*i^2*m*n - d^2*e*j^2*m*n)*x)*log(e*x + d))/(e^3*j^2*x^2 + d*e^2*i*j + (e^3*i*j + d*e^2*j^2)*x), x))","F",0
389,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m)),x, algorithm=""maxima"")","-b e f n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} - a g j m {\left(\frac{x}{j} - \frac{i \log\left(j x + i\right)}{j^{2}}\right)} + b f x \log\left({\left(e x + d\right)}^{n} c\right) + a g x \log\left({\left(j x + i\right)}^{m} h\right) + a f x - b g {\left(\frac{e i m n \log\left(e x + d\right) \log\left(j x + i\right) - {\left(e i m \log\left(j x + i\right) - {\left(j m - j \log\left(h\right)\right)} e x\right)} \log\left({\left(e x + d\right)}^{n}\right) - {\left(d j n \log\left(e x + d\right) + e j x \log\left({\left(e x + d\right)}^{n}\right) - {\left(e j n - e j \log\left(c\right)\right)} x\right)} \log\left({\left(j x + i\right)}^{m}\right)}{e j} + \int -\frac{d e i \log\left(c\right) \log\left(h\right) - {\left({\left(j m - j \log\left(h\right)\right)} e^{2} \log\left(c\right) - {\left(2 \, j m n - j n \log\left(h\right)\right)} e^{2}\right)} x^{2} + {\left(d e j m n + {\left(i m n - i n \log\left(h\right)\right)} e^{2} + {\left(e^{2} i \log\left(h\right) - {\left(j m - j \log\left(h\right)\right)} d e\right)} \log\left(c\right)\right)} x + {\left(d e i m n - d^{2} j m n + {\left(e^{2} i m n - d e j m n\right)} x\right)} \log\left(e x + d\right)}{e^{2} j x^{2} + d e i + {\left(e^{2} i + d e j\right)} x}\,{d x}\right)}"," ",0,"-b*e*f*n*(x/e - d*log(e*x + d)/e^2) - a*g*j*m*(x/j - i*log(j*x + i)/j^2) + b*f*x*log((e*x + d)^n*c) + a*g*x*log((j*x + i)^m*h) + a*f*x - b*g*((e*i*m*n*log(e*x + d)*log(j*x + i) - (e*i*m*log(j*x + i) - (j*m - j*log(h))*e*x)*log((e*x + d)^n) - (d*j*n*log(e*x + d) + e*j*x*log((e*x + d)^n) - (e*j*n - e*j*log(c))*x)*log((j*x + i)^m))/(e*j) + integrate(-(d*e*i*log(c)*log(h) - ((j*m - j*log(h))*e^2*log(c) - (2*j*m*n - j*n*log(h))*e^2)*x^2 + (d*e*j*m*n + (i*m*n - i*n*log(h))*e^2 + (e^2*i*log(h) - (j*m - j*log(h))*d*e)*log(c))*x + (d*e*i*m*n - d^2*j*m*n + (e^2*i*m*n - d*e*j*m*n)*x)*log(e*x + d))/(e^2*j*x^2 + d*e*i + (e^2*i + d*e*j)*x), x))","F",0
390,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m))/x,x, algorithm=""maxima"")","a f \log\left(x\right) + \int \frac{{\left(g \log\left(h\right) + f\right)} b \log\left({\left(e x + d\right)}^{n}\right) + {\left(g \log\left(h\right) + f\right)} b \log\left(c\right) + a g \log\left(h\right) + {\left(b g \log\left({\left(e x + d\right)}^{n}\right) + b g \log\left(c\right) + a g\right)} \log\left({\left(j x + i\right)}^{m}\right)}{x}\,{d x}"," ",0,"a*f*log(x) + integrate(((g*log(h) + f)*b*log((e*x + d)^n) + (g*log(h) + f)*b*log(c) + a*g*log(h) + (b*g*log((e*x + d)^n) + b*g*log(c) + a*g)*log((j*x + i)^m))/x, x)","F",0
391,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m))/x^2,x, algorithm=""maxima"")","-b e f n {\left(\frac{\log\left(e x + d\right)}{d} - \frac{\log\left(x\right)}{d}\right)} - a g j m {\left(\frac{\log\left(j x + i\right)}{i} - \frac{\log\left(x\right)}{i}\right)} + b g \int \frac{{\left(\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)\right)} \log\left({\left(j x + i\right)}^{m}\right) + \log\left({\left(e x + d\right)}^{n}\right) \log\left(h\right) + \log\left(c\right) \log\left(h\right)}{x^{2}}\,{d x} - \frac{b f \log\left({\left(e x + d\right)}^{n} c\right)}{x} - \frac{a g \log\left({\left(j x + i\right)}^{m} h\right)}{x} - \frac{a f}{x}"," ",0,"-b*e*f*n*(log(e*x + d)/d - log(x)/d) - a*g*j*m*(log(j*x + i)/i - log(x)/i) + b*g*integrate(((log((e*x + d)^n) + log(c))*log((j*x + i)^m) + log((e*x + d)^n)*log(h) + log(c)*log(h))/x^2, x) - b*f*log((e*x + d)^n*c)/x - a*g*log((j*x + i)^m*h)/x - a*f/x","F",0
392,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m))/x^3,x, algorithm=""maxima"")","\frac{1}{2} \, b e f n {\left(\frac{e \log\left(e x + d\right)}{d^{2}} - \frac{e \log\left(x\right)}{d^{2}} - \frac{1}{d x}\right)} + \frac{1}{2} \, a g j m {\left(\frac{j \log\left(j x + i\right)}{i^{2}} - \frac{j \log\left(x\right)}{i^{2}} - \frac{1}{i x}\right)} + b g \int \frac{{\left(\log\left({\left(e x + d\right)}^{n}\right) + \log\left(c\right)\right)} \log\left({\left(j x + i\right)}^{m}\right) + \log\left({\left(e x + d\right)}^{n}\right) \log\left(h\right) + \log\left(c\right) \log\left(h\right)}{x^{3}}\,{d x} - \frac{b f \log\left({\left(e x + d\right)}^{n} c\right)}{2 \, x^{2}} - \frac{a g \log\left({\left(j x + i\right)}^{m} h\right)}{2 \, x^{2}} - \frac{a f}{2 \, x^{2}}"," ",0,"1/2*b*e*f*n*(e*log(e*x + d)/d^2 - e*log(x)/d^2 - 1/(d*x)) + 1/2*a*g*j*m*(j*log(j*x + i)/i^2 - j*log(x)/i^2 - 1/(i*x)) + b*g*integrate(((log((e*x + d)^n) + log(c))*log((j*x + i)^m) + log((e*x + d)^n)*log(h) + log(c)*log(h))/x^3, x) - 1/2*b*f*log((e*x + d)^n*c)/x^2 - 1/2*a*g*log((j*x + i)^m*h)/x^2 - 1/2*a*f/x^2","F",0
393,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))^2*(f+g*log(h*(j*x+i)^m)),x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} f x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} - \frac{1}{2} \, a b e f n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} - \frac{1}{4} \, a^{2} g j m {\left(\frac{2 \, i^{2} \log\left(j x + i\right)}{j^{3}} + \frac{j x^{2} - 2 \, i x}{j^{2}}\right)} + a b f x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{2} \, a^{2} g x^{2} \log\left({\left(j x + i\right)}^{m} h\right) + \frac{1}{2} \, a^{2} f x^{2} - \frac{1}{4} \, {\left(2 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) - \frac{{\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{2}}\right)} b^{2} f + \frac{{\left(2 \, b^{2} e^{2} g i j m x - 2 \, b^{2} e^{2} g i^{2} m \log\left(j x + i\right) - {\left(j^{2} m - 2 \, j^{2} \log\left(h\right)\right)} b^{2} e^{2} g x^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + {\left(2 \, b^{2} d^{2} g j^{2} n^{2} \log\left(e x + d\right)^{2} + 2 \, b^{2} e^{2} g j^{2} x^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} - {\left(2 \, {\left(e^{2} g j^{2} n - 2 \, e^{2} g j^{2} \log\left(c\right)\right)} a b - {\left(e^{2} g j^{2} n^{2} - 2 \, e^{2} g j^{2} n \log\left(c\right) + 2 \, e^{2} g j^{2} \log\left(c\right)^{2}\right)} b^{2}\right)} x^{2} + 2 \, {\left(2 \, a b d e g j^{2} n - {\left(3 \, d e g j^{2} n^{2} - 2 \, d e g j^{2} n \log\left(c\right)\right)} b^{2}\right)} x - 2 \, {\left(2 \, a b d^{2} g j^{2} n - {\left(3 \, d^{2} g j^{2} n^{2} - 2 \, d^{2} g j^{2} n \log\left(c\right)\right)} b^{2}\right)} \log\left(e x + d\right) + 2 \, {\left(2 \, b^{2} d e g j^{2} n x - 2 \, b^{2} d^{2} g j^{2} n \log\left(e x + d\right) + {\left(2 \, a b e^{2} g j^{2} - {\left(e^{2} g j^{2} n - 2 \, e^{2} g j^{2} \log\left(c\right)\right)} b^{2}\right)} x^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)} \log\left({\left(j x + i\right)}^{m}\right)}{4 \, e^{2} j^{2}} + \int \frac{{\left(2 \, {\left(e^{3} g j^{3} m n - 2 \, {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} e^{3} g \log\left(c\right)\right)} a b - {\left(e^{3} g j^{3} m n^{2} - 2 \, e^{3} g j^{3} m n \log\left(c\right) + 2 \, {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} e^{3} g \log\left(c\right)^{2}\right)} b^{2}\right)} x^{3} - {\left(2 \, {\left(d e^{2} g j^{3} m n - 2 \, {\left(2 \, e^{3} g i j^{2} \log\left(h\right) - {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} d e^{2} g\right)} \log\left(c\right)\right)} a b - {\left(5 \, d e^{2} g j^{3} m n^{2} - 2 \, d e^{2} g j^{3} m n \log\left(c\right) + 2 \, {\left(2 \, e^{3} g i j^{2} \log\left(h\right) - {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} d e^{2} g\right)} \log\left(c\right)^{2}\right)} b^{2}\right)} x^{2} - 2 \, {\left(b^{2} d^{2} e g j^{3} m n^{2} x + b^{2} d^{3} g j^{3} m n^{2}\right)} \log\left(e x + d\right)^{2} - 2 \, {\left(2 \, {\left(d^{2} e g j^{3} m n - 2 \, d e^{2} g i j^{2} \log\left(c\right) \log\left(h\right)\right)} a b - {\left(3 \, d^{2} e g j^{3} m n^{2} - 2 \, d^{2} e g j^{3} m n \log\left(c\right) + 2 \, d e^{2} g i j^{2} \log\left(c\right)^{2} \log\left(h\right)\right)} b^{2}\right)} x + 2 \, {\left(2 \, a b d^{3} g j^{3} m n - {\left(3 \, d^{3} g j^{3} m n^{2} - 2 \, d^{3} g j^{3} m n \log\left(c\right)\right)} b^{2} + {\left(2 \, a b d^{2} e g j^{3} m n - {\left(3 \, d^{2} e g j^{3} m n^{2} - 2 \, d^{2} e g j^{3} m n \log\left(c\right)\right)} b^{2}\right)} x\right)} \log\left(e x + d\right) - 2 \, {\left(2 \, {\left({\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} a b e^{3} g + {\left({\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} e^{3} g \log\left(c\right) - {\left(j^{3} m n - j^{3} n \log\left(h\right)\right)} e^{3} g\right)} b^{2}\right)} x^{3} - {\left(2 \, {\left(2 \, e^{3} g i j^{2} \log\left(h\right) - {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} d e^{2} g\right)} a b - {\left(d e^{2} g j^{3} m n + {\left(i j^{2} m n + 2 \, i j^{2} n \log\left(h\right)\right)} e^{3} g - 2 \, {\left(2 \, e^{3} g i j^{2} \log\left(h\right) - {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} d e^{2} g\right)} \log\left(c\right)\right)} b^{2}\right)} x^{2} - 2 \, {\left(2 \, a b d e^{2} g i j^{2} \log\left(h\right) - {\left(e^{3} g i^{2} j m n + d^{2} e g j^{3} m n - 2 \, d e^{2} g i j^{2} \log\left(c\right) \log\left(h\right)\right)} b^{2}\right)} x - 2 \, {\left(b^{2} d^{2} e g j^{3} m n x + b^{2} d^{3} g j^{3} m n\right)} \log\left(e x + d\right) - 2 \, {\left(b^{2} e^{3} g i^{2} j m n x + b^{2} e^{3} g i^{3} m n\right)} \log\left(j x + i\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)}{4 \, {\left(e^{3} j^{3} x^{2} + d e^{2} i j^{2} + {\left(e^{3} i j^{2} + d e^{2} j^{3}\right)} x\right)}}\,{d x}"," ",0,"1/2*b^2*f*x^2*log((e*x + d)^n*c)^2 - 1/2*a*b*e*f*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) - 1/4*a^2*g*j*m*(2*i^2*log(j*x + i)/j^3 + (j*x^2 - 2*i*x)/j^2) + a*b*f*x^2*log((e*x + d)^n*c) + 1/2*a^2*g*x^2*log((j*x + i)^m*h) + 1/2*a^2*f*x^2 - 1/4*(2*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c) - (e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n^2/e^2)*b^2*f + 1/4*((2*b^2*e^2*g*i*j*m*x - 2*b^2*e^2*g*i^2*m*log(j*x + i) - (j^2*m - 2*j^2*log(h))*b^2*e^2*g*x^2)*log((e*x + d)^n)^2 + (2*b^2*d^2*g*j^2*n^2*log(e*x + d)^2 + 2*b^2*e^2*g*j^2*x^2*log((e*x + d)^n)^2 - (2*(e^2*g*j^2*n - 2*e^2*g*j^2*log(c))*a*b - (e^2*g*j^2*n^2 - 2*e^2*g*j^2*n*log(c) + 2*e^2*g*j^2*log(c)^2)*b^2)*x^2 + 2*(2*a*b*d*e*g*j^2*n - (3*d*e*g*j^2*n^2 - 2*d*e*g*j^2*n*log(c))*b^2)*x - 2*(2*a*b*d^2*g*j^2*n - (3*d^2*g*j^2*n^2 - 2*d^2*g*j^2*n*log(c))*b^2)*log(e*x + d) + 2*(2*b^2*d*e*g*j^2*n*x - 2*b^2*d^2*g*j^2*n*log(e*x + d) + (2*a*b*e^2*g*j^2 - (e^2*g*j^2*n - 2*e^2*g*j^2*log(c))*b^2)*x^2)*log((e*x + d)^n))*log((j*x + i)^m))/(e^2*j^2) + integrate(1/4*((2*(e^3*g*j^3*m*n - 2*(j^3*m - 2*j^3*log(h))*e^3*g*log(c))*a*b - (e^3*g*j^3*m*n^2 - 2*e^3*g*j^3*m*n*log(c) + 2*(j^3*m - 2*j^3*log(h))*e^3*g*log(c)^2)*b^2)*x^3 - (2*(d*e^2*g*j^3*m*n - 2*(2*e^3*g*i*j^2*log(h) - (j^3*m - 2*j^3*log(h))*d*e^2*g)*log(c))*a*b - (5*d*e^2*g*j^3*m*n^2 - 2*d*e^2*g*j^3*m*n*log(c) + 2*(2*e^3*g*i*j^2*log(h) - (j^3*m - 2*j^3*log(h))*d*e^2*g)*log(c)^2)*b^2)*x^2 - 2*(b^2*d^2*e*g*j^3*m*n^2*x + b^2*d^3*g*j^3*m*n^2)*log(e*x + d)^2 - 2*(2*(d^2*e*g*j^3*m*n - 2*d*e^2*g*i*j^2*log(c)*log(h))*a*b - (3*d^2*e*g*j^3*m*n^2 - 2*d^2*e*g*j^3*m*n*log(c) + 2*d*e^2*g*i*j^2*log(c)^2*log(h))*b^2)*x + 2*(2*a*b*d^3*g*j^3*m*n - (3*d^3*g*j^3*m*n^2 - 2*d^3*g*j^3*m*n*log(c))*b^2 + (2*a*b*d^2*e*g*j^3*m*n - (3*d^2*e*g*j^3*m*n^2 - 2*d^2*e*g*j^3*m*n*log(c))*b^2)*x)*log(e*x + d) - 2*(2*((j^3*m - 2*j^3*log(h))*a*b*e^3*g + ((j^3*m - 2*j^3*log(h))*e^3*g*log(c) - (j^3*m*n - j^3*n*log(h))*e^3*g)*b^2)*x^3 - (2*(2*e^3*g*i*j^2*log(h) - (j^3*m - 2*j^3*log(h))*d*e^2*g)*a*b - (d*e^2*g*j^3*m*n + (i*j^2*m*n + 2*i*j^2*n*log(h))*e^3*g - 2*(2*e^3*g*i*j^2*log(h) - (j^3*m - 2*j^3*log(h))*d*e^2*g)*log(c))*b^2)*x^2 - 2*(2*a*b*d*e^2*g*i*j^2*log(h) - (e^3*g*i^2*j*m*n + d^2*e*g*j^3*m*n - 2*d*e^2*g*i*j^2*log(c)*log(h))*b^2)*x - 2*(b^2*d^2*e*g*j^3*m*n*x + b^2*d^3*g*j^3*m*n)*log(e*x + d) - 2*(b^2*e^3*g*i^2*j*m*n*x + b^2*e^3*g*i^3*m*n)*log(j*x + i))*log((e*x + d)^n))/(e^3*j^3*x^2 + d*e^2*i*j^2 + (e^3*i*j^2 + d*e^2*j^3)*x), x)","F",0
394,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2*(f+g*log(h*(j*x+i)^m)),x, algorithm=""maxima"")","-2 \, a b e f n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} - a^{2} g j m {\left(\frac{x}{j} - \frac{i \log\left(j x + i\right)}{j^{2}}\right)} + b^{2} f x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b f x \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} g x \log\left({\left(j x + i\right)}^{m} h\right) - {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} b^{2} f + a^{2} f x + \frac{{\left(b^{2} e g i m \log\left(j x + i\right) - {\left(j m - j \log\left(h\right)\right)} b^{2} e g x\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} - {\left(b^{2} d g j n^{2} \log\left(e x + d\right)^{2} - b^{2} e g j x \log\left({\left(e x + d\right)}^{n}\right)^{2} + {\left(2 \, {\left(e g j n - e g j \log\left(c\right)\right)} a b - {\left(2 \, e g j n^{2} - 2 \, e g j n \log\left(c\right) + e g j \log\left(c\right)^{2}\right)} b^{2}\right)} x - 2 \, {\left(a b d g j n - {\left(d g j n^{2} - d g j n \log\left(c\right)\right)} b^{2}\right)} \log\left(e x + d\right) - 2 \, {\left(b^{2} d g j n \log\left(e x + d\right) + {\left(a b e g j - {\left(e g j n - e g j \log\left(c\right)\right)} b^{2}\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)} \log\left({\left(j x + i\right)}^{m}\right)}{e j} - \int -\frac{b^{2} d e g i j \log\left(c\right)^{2} \log\left(h\right) + 2 \, a b d e g i j \log\left(c\right) \log\left(h\right) + {\left(2 \, {\left(e^{2} g j^{2} m n - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} e^{2} g \log\left(c\right)\right)} a b - {\left(2 \, e^{2} g j^{2} m n^{2} - 2 \, e^{2} g j^{2} m n \log\left(c\right) + {\left(j^{2} m - j^{2} \log\left(h\right)\right)} e^{2} g \log\left(c\right)^{2}\right)} b^{2}\right)} x^{2} + {\left(b^{2} d e g j^{2} m n^{2} x + b^{2} d^{2} g j^{2} m n^{2}\right)} \log\left(e x + d\right)^{2} + {\left(2 \, {\left(d e g j^{2} m n + {\left(e^{2} g i j \log\left(h\right) - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} d e g\right)} \log\left(c\right)\right)} a b - {\left(2 \, d e g j^{2} m n^{2} - 2 \, d e g j^{2} m n \log\left(c\right) - {\left(e^{2} g i j \log\left(h\right) - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} d e g\right)} \log\left(c\right)^{2}\right)} b^{2}\right)} x - 2 \, {\left(a b d^{2} g j^{2} m n - {\left(d^{2} g j^{2} m n^{2} - d^{2} g j^{2} m n \log\left(c\right)\right)} b^{2} + {\left(a b d e g j^{2} m n - {\left(d e g j^{2} m n^{2} - d e g j^{2} m n \log\left(c\right)\right)} b^{2}\right)} x\right)} \log\left(e x + d\right) + 2 \, {\left(b^{2} d e g i j \log\left(c\right) \log\left(h\right) + a b d e g i j \log\left(h\right) - {\left({\left(j^{2} m - j^{2} \log\left(h\right)\right)} a b e^{2} g + {\left({\left(j^{2} m - j^{2} \log\left(h\right)\right)} e^{2} g \log\left(c\right) - {\left(2 \, j^{2} m n - j^{2} n \log\left(h\right)\right)} e^{2} g\right)} b^{2}\right)} x^{2} + {\left({\left(e^{2} g i j \log\left(h\right) - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} d e g\right)} a b + {\left(d e g j^{2} m n + {\left(i j m n - i j n \log\left(h\right)\right)} e^{2} g + {\left(e^{2} g i j \log\left(h\right) - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} d e g\right)} \log\left(c\right)\right)} b^{2}\right)} x - {\left(b^{2} d e g j^{2} m n x + b^{2} d^{2} g j^{2} m n\right)} \log\left(e x + d\right) - {\left(b^{2} e^{2} g i j m n x + b^{2} e^{2} g i^{2} m n\right)} \log\left(j x + i\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)}{e^{2} j^{2} x^{2} + d e i j + {\left(e^{2} i j + d e j^{2}\right)} x}\,{d x}"," ",0,"-2*a*b*e*f*n*(x/e - d*log(e*x + d)/e^2) - a^2*g*j*m*(x/j - i*log(j*x + i)/j^2) + b^2*f*x*log((e*x + d)^n*c)^2 + 2*a*b*f*x*log((e*x + d)^n*c) + a^2*g*x*log((j*x + i)^m*h) - (2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*b^2*f + a^2*f*x + ((b^2*e*g*i*m*log(j*x + i) - (j*m - j*log(h))*b^2*e*g*x)*log((e*x + d)^n)^2 - (b^2*d*g*j*n^2*log(e*x + d)^2 - b^2*e*g*j*x*log((e*x + d)^n)^2 + (2*(e*g*j*n - e*g*j*log(c))*a*b - (2*e*g*j*n^2 - 2*e*g*j*n*log(c) + e*g*j*log(c)^2)*b^2)*x - 2*(a*b*d*g*j*n - (d*g*j*n^2 - d*g*j*n*log(c))*b^2)*log(e*x + d) - 2*(b^2*d*g*j*n*log(e*x + d) + (a*b*e*g*j - (e*g*j*n - e*g*j*log(c))*b^2)*x)*log((e*x + d)^n))*log((j*x + i)^m))/(e*j) - integrate(-(b^2*d*e*g*i*j*log(c)^2*log(h) + 2*a*b*d*e*g*i*j*log(c)*log(h) + (2*(e^2*g*j^2*m*n - (j^2*m - j^2*log(h))*e^2*g*log(c))*a*b - (2*e^2*g*j^2*m*n^2 - 2*e^2*g*j^2*m*n*log(c) + (j^2*m - j^2*log(h))*e^2*g*log(c)^2)*b^2)*x^2 + (b^2*d*e*g*j^2*m*n^2*x + b^2*d^2*g*j^2*m*n^2)*log(e*x + d)^2 + (2*(d*e*g*j^2*m*n + (e^2*g*i*j*log(h) - (j^2*m - j^2*log(h))*d*e*g)*log(c))*a*b - (2*d*e*g*j^2*m*n^2 - 2*d*e*g*j^2*m*n*log(c) - (e^2*g*i*j*log(h) - (j^2*m - j^2*log(h))*d*e*g)*log(c)^2)*b^2)*x - 2*(a*b*d^2*g*j^2*m*n - (d^2*g*j^2*m*n^2 - d^2*g*j^2*m*n*log(c))*b^2 + (a*b*d*e*g*j^2*m*n - (d*e*g*j^2*m*n^2 - d*e*g*j^2*m*n*log(c))*b^2)*x)*log(e*x + d) + 2*(b^2*d*e*g*i*j*log(c)*log(h) + a*b*d*e*g*i*j*log(h) - ((j^2*m - j^2*log(h))*a*b*e^2*g + ((j^2*m - j^2*log(h))*e^2*g*log(c) - (2*j^2*m*n - j^2*n*log(h))*e^2*g)*b^2)*x^2 + ((e^2*g*i*j*log(h) - (j^2*m - j^2*log(h))*d*e*g)*a*b + (d*e*g*j^2*m*n + (i*j*m*n - i*j*n*log(h))*e^2*g + (e^2*g*i*j*log(h) - (j^2*m - j^2*log(h))*d*e*g)*log(c))*b^2)*x - (b^2*d*e*g*j^2*m*n*x + b^2*d^2*g*j^2*m*n)*log(e*x + d) - (b^2*e^2*g*i*j*m*n*x + b^2*e^2*g*i^2*m*n)*log(j*x + i))*log((e*x + d)^n))/(e^2*j^2*x^2 + d*e*i*j + (e^2*i*j + d*e*j^2)*x), x)","F",0
395,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2*(f+g*log(h*(j*x+i)^m))/x,x, algorithm=""maxima"")","a^{2} f \log\left(x\right) + \int \frac{{\left(g \log\left(h\right) + f\right)} b^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + {\left(g \log\left(h\right) + f\right)} b^{2} \log\left(c\right)^{2} + 2 \, {\left(g \log\left(h\right) + f\right)} a b \log\left(c\right) + a^{2} g \log\left(h\right) + 2 \, {\left({\left(g \log\left(h\right) + f\right)} b^{2} \log\left(c\right) + {\left(g \log\left(h\right) + f\right)} a b\right)} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{2} g \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{2} g \log\left(c\right)^{2} + 2 \, a b g \log\left(c\right) + a^{2} g + 2 \, {\left(b^{2} g \log\left(c\right) + a b g\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)} \log\left({\left(j x + i\right)}^{m}\right)}{x}\,{d x}"," ",0,"a^2*f*log(x) + integrate(((g*log(h) + f)*b^2*log((e*x + d)^n)^2 + (g*log(h) + f)*b^2*log(c)^2 + 2*(g*log(h) + f)*a*b*log(c) + a^2*g*log(h) + 2*((g*log(h) + f)*b^2*log(c) + (g*log(h) + f)*a*b)*log((e*x + d)^n) + (b^2*g*log((e*x + d)^n)^2 + b^2*g*log(c)^2 + 2*a*b*g*log(c) + a^2*g + 2*(b^2*g*log(c) + a*b*g)*log((e*x + d)^n))*log((j*x + i)^m))/x, x)","F",0
396,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2*(f+g*log(h*(j*x+i)^m))/x^2,x, algorithm=""maxima"")","-2 \, a b e f n {\left(\frac{\log\left(e x + d\right)}{d} - \frac{\log\left(x\right)}{d}\right)} - \frac{2 \, a b f \log\left({\left(e x + d\right)}^{n} c\right)}{x} - \frac{a^{2} f}{x} + \int \frac{{\left(g \log\left(h\right) + f\right)} b^{2} \log\left({\left(e x + d\right)}^{n}\right)^{2} + {\left(g \log\left(h\right) + f\right)} b^{2} \log\left(c\right)^{2} + 2 \, a b g \log\left(c\right) \log\left(h\right) + a^{2} g \log\left(h\right) + 2 \, {\left({\left(g \log\left(h\right) + f\right)} b^{2} \log\left(c\right) + a b g \log\left(h\right)\right)} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{2} g \log\left({\left(e x + d\right)}^{n}\right)^{2} + b^{2} g \log\left(c\right)^{2} + 2 \, a b g \log\left(c\right) + a^{2} g + 2 \, {\left(b^{2} g \log\left(c\right) + a b g\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)} \log\left({\left(j x + i\right)}^{m}\right)}{x^{2}}\,{d x}"," ",0,"-2*a*b*e*f*n*(log(e*x + d)/d - log(x)/d) - 2*a*b*f*log((e*x + d)^n*c)/x - a^2*f/x + integrate(((g*log(h) + f)*b^2*log((e*x + d)^n)^2 + (g*log(h) + f)*b^2*log(c)^2 + 2*a*b*g*log(c)*log(h) + a^2*g*log(h) + 2*((g*log(h) + f)*b^2*log(c) + a*b*g*log(h))*log((e*x + d)^n) + (b^2*g*log((e*x + d)^n)^2 + b^2*g*log(c)^2 + 2*a*b*g*log(c) + a^2*g + 2*(b^2*g*log(c) + a*b*g)*log((e*x + d)^n))*log((j*x + i)^m))/x^2, x)","F",0
397,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))^3*(f+g*log(h*(j*x+i)^m)),x, algorithm=""maxima"")","\frac{1}{2} \, b^{3} f x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{3} + \frac{3}{2} \, a b^{2} f x^{2} \log\left({\left(e x + d\right)}^{n} c\right)^{2} - \frac{3}{4} \, a^{2} b e f n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} - \frac{1}{4} \, a^{3} g j m {\left(\frac{2 \, i^{2} \log\left(j x + i\right)}{j^{3}} + \frac{j x^{2} - 2 \, i x}{j^{2}}\right)} + \frac{3}{2} \, a^{2} b f x^{2} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{1}{2} \, a^{3} g x^{2} \log\left({\left(j x + i\right)}^{m} h\right) + \frac{1}{2} \, a^{3} f x^{2} - \frac{3}{4} \, {\left(2 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) - \frac{{\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{2}}\right)} a b^{2} f - \frac{1}{8} \, {\left(6 \, e n {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} + e n {\left(\frac{{\left(4 \, d^{2} \log\left(e x + d\right)^{3} + 3 \, e^{2} x^{2} + 18 \, d^{2} \log\left(e x + d\right)^{2} - 42 \, d e x + 42 \, d^{2} \log\left(e x + d\right)\right)} n^{2}}{e^{3}} - \frac{6 \, {\left(e^{2} x^{2} + 2 \, d^{2} \log\left(e x + d\right)^{2} - 6 \, d e x + 6 \, d^{2} \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{3}}\right)}\right)} b^{3} f + \frac{2 \, {\left(2 \, b^{3} e^{2} g i j m x - 2 \, b^{3} e^{2} g i^{2} m \log\left(j x + i\right) - {\left(j^{2} m - 2 \, j^{2} \log\left(h\right)\right)} b^{3} e^{2} g x^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)^{3} - {\left(4 \, b^{3} d^{2} g j^{2} n^{3} \log\left(e x + d\right)^{3} - 4 \, b^{3} e^{2} g j^{2} x^{2} \log\left({\left(e x + d\right)}^{n}\right)^{3} + {\left(6 \, {\left(e^{2} g j^{2} n - 2 \, e^{2} g j^{2} \log\left(c\right)\right)} a^{2} b - 6 \, {\left(e^{2} g j^{2} n^{2} - 2 \, e^{2} g j^{2} n \log\left(c\right) + 2 \, e^{2} g j^{2} \log\left(c\right)^{2}\right)} a b^{2} + {\left(3 \, e^{2} g j^{2} n^{3} - 6 \, e^{2} g j^{2} n^{2} \log\left(c\right) + 6 \, e^{2} g j^{2} n \log\left(c\right)^{2} - 4 \, e^{2} g j^{2} \log\left(c\right)^{3}\right)} b^{3}\right)} x^{2} - 6 \, {\left(2 \, a b^{2} d^{2} g j^{2} n^{2} - {\left(3 \, d^{2} g j^{2} n^{3} - 2 \, d^{2} g j^{2} n^{2} \log\left(c\right)\right)} b^{3}\right)} \log\left(e x + d\right)^{2} - 6 \, {\left(2 \, b^{3} d e g j^{2} n x - 2 \, b^{3} d^{2} g j^{2} n \log\left(e x + d\right) + {\left(2 \, a b^{2} e^{2} g j^{2} - {\left(e^{2} g j^{2} n - 2 \, e^{2} g j^{2} \log\left(c\right)\right)} b^{3}\right)} x^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} - 6 \, {\left(2 \, a^{2} b d e g j^{2} n - 2 \, {\left(3 \, d e g j^{2} n^{2} - 2 \, d e g j^{2} n \log\left(c\right)\right)} a b^{2} + {\left(7 \, d e g j^{2} n^{3} - 6 \, d e g j^{2} n^{2} \log\left(c\right) + 2 \, d e g j^{2} n \log\left(c\right)^{2}\right)} b^{3}\right)} x + 6 \, {\left(2 \, a^{2} b d^{2} g j^{2} n - 2 \, {\left(3 \, d^{2} g j^{2} n^{2} - 2 \, d^{2} g j^{2} n \log\left(c\right)\right)} a b^{2} + {\left(7 \, d^{2} g j^{2} n^{3} - 6 \, d^{2} g j^{2} n^{2} \log\left(c\right) + 2 \, d^{2} g j^{2} n \log\left(c\right)^{2}\right)} b^{3}\right)} \log\left(e x + d\right) - 6 \, {\left(2 \, b^{3} d^{2} g j^{2} n^{2} \log\left(e x + d\right)^{2} + {\left(2 \, a^{2} b e^{2} g j^{2} - 2 \, {\left(e^{2} g j^{2} n - 2 \, e^{2} g j^{2} \log\left(c\right)\right)} a b^{2} + {\left(e^{2} g j^{2} n^{2} - 2 \, e^{2} g j^{2} n \log\left(c\right) + 2 \, e^{2} g j^{2} \log\left(c\right)^{2}\right)} b^{3}\right)} x^{2} + 2 \, {\left(2 \, a b^{2} d e g j^{2} n - {\left(3 \, d e g j^{2} n^{2} - 2 \, d e g j^{2} n \log\left(c\right)\right)} b^{3}\right)} x - 2 \, {\left(2 \, a b^{2} d^{2} g j^{2} n - {\left(3 \, d^{2} g j^{2} n^{2} - 2 \, d^{2} g j^{2} n \log\left(c\right)\right)} b^{3}\right)} \log\left(e x + d\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)} \log\left({\left(j x + i\right)}^{m}\right)}{8 \, e^{2} j^{2}} + \int \frac{{\left(6 \, {\left(e^{3} g j^{3} m n - 2 \, {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} e^{3} g \log\left(c\right)\right)} a^{2} b - 6 \, {\left(e^{3} g j^{3} m n^{2} - 2 \, e^{3} g j^{3} m n \log\left(c\right) + 2 \, {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} e^{3} g \log\left(c\right)^{2}\right)} a b^{2} + {\left(3 \, e^{3} g j^{3} m n^{3} - 6 \, e^{3} g j^{3} m n^{2} \log\left(c\right) + 6 \, e^{3} g j^{3} m n \log\left(c\right)^{2} - 4 \, {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} e^{3} g \log\left(c\right)^{3}\right)} b^{3}\right)} x^{3} + 4 \, {\left(b^{3} d^{2} e g j^{3} m n^{3} x + b^{3} d^{3} g j^{3} m n^{3}\right)} \log\left(e x + d\right)^{3} - {\left(6 \, {\left(d e^{2} g j^{3} m n - 2 \, {\left(2 \, e^{3} g i j^{2} \log\left(h\right) - {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} d e^{2} g\right)} \log\left(c\right)\right)} a^{2} b - 6 \, {\left(5 \, d e^{2} g j^{3} m n^{2} - 2 \, d e^{2} g j^{3} m n \log\left(c\right) + 2 \, {\left(2 \, e^{3} g i j^{2} \log\left(h\right) - {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} d e^{2} g\right)} \log\left(c\right)^{2}\right)} a b^{2} + {\left(39 \, d e^{2} g j^{3} m n^{3} - 30 \, d e^{2} g j^{3} m n^{2} \log\left(c\right) + 6 \, d e^{2} g j^{3} m n \log\left(c\right)^{2} - 4 \, {\left(2 \, e^{3} g i j^{2} \log\left(h\right) - {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} d e^{2} g\right)} \log\left(c\right)^{3}\right)} b^{3}\right)} x^{2} - 6 \, {\left(2 \, a b^{2} d^{3} g j^{3} m n^{2} - {\left(3 \, d^{3} g j^{3} m n^{3} - 2 \, d^{3} g j^{3} m n^{2} \log\left(c\right)\right)} b^{3} + {\left(2 \, a b^{2} d^{2} e g j^{3} m n^{2} - {\left(3 \, d^{2} e g j^{3} m n^{3} - 2 \, d^{2} e g j^{3} m n^{2} \log\left(c\right)\right)} b^{3}\right)} x\right)} \log\left(e x + d\right)^{2} - 6 \, {\left(2 \, {\left({\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} a b^{2} e^{3} g + {\left({\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} e^{3} g \log\left(c\right) - {\left(j^{3} m n - j^{3} n \log\left(h\right)\right)} e^{3} g\right)} b^{3}\right)} x^{3} - {\left(2 \, {\left(2 \, e^{3} g i j^{2} \log\left(h\right) - {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} d e^{2} g\right)} a b^{2} - {\left(d e^{2} g j^{3} m n + {\left(i j^{2} m n + 2 \, i j^{2} n \log\left(h\right)\right)} e^{3} g - 2 \, {\left(2 \, e^{3} g i j^{2} \log\left(h\right) - {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} d e^{2} g\right)} \log\left(c\right)\right)} b^{3}\right)} x^{2} - 2 \, {\left(2 \, a b^{2} d e^{2} g i j^{2} \log\left(h\right) - {\left(e^{3} g i^{2} j m n + d^{2} e g j^{3} m n - 2 \, d e^{2} g i j^{2} \log\left(c\right) \log\left(h\right)\right)} b^{3}\right)} x - 2 \, {\left(b^{3} d^{2} e g j^{3} m n x + b^{3} d^{3} g j^{3} m n\right)} \log\left(e x + d\right) - 2 \, {\left(b^{3} e^{3} g i^{2} j m n x + b^{3} e^{3} g i^{3} m n\right)} \log\left(j x + i\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} - 2 \, {\left(6 \, {\left(d^{2} e g j^{3} m n - 2 \, d e^{2} g i j^{2} \log\left(c\right) \log\left(h\right)\right)} a^{2} b - 6 \, {\left(3 \, d^{2} e g j^{3} m n^{2} - 2 \, d^{2} e g j^{3} m n \log\left(c\right) + 2 \, d e^{2} g i j^{2} \log\left(c\right)^{2} \log\left(h\right)\right)} a b^{2} + {\left(21 \, d^{2} e g j^{3} m n^{3} - 18 \, d^{2} e g j^{3} m n^{2} \log\left(c\right) + 6 \, d^{2} e g j^{3} m n \log\left(c\right)^{2} - 4 \, d e^{2} g i j^{2} \log\left(c\right)^{3} \log\left(h\right)\right)} b^{3}\right)} x + 6 \, {\left(2 \, a^{2} b d^{3} g j^{3} m n - 2 \, {\left(3 \, d^{3} g j^{3} m n^{2} - 2 \, d^{3} g j^{3} m n \log\left(c\right)\right)} a b^{2} + {\left(7 \, d^{3} g j^{3} m n^{3} - 6 \, d^{3} g j^{3} m n^{2} \log\left(c\right) + 2 \, d^{3} g j^{3} m n \log\left(c\right)^{2}\right)} b^{3} + {\left(2 \, a^{2} b d^{2} e g j^{3} m n - 2 \, {\left(3 \, d^{2} e g j^{3} m n^{2} - 2 \, d^{2} e g j^{3} m n \log\left(c\right)\right)} a b^{2} + {\left(7 \, d^{2} e g j^{3} m n^{3} - 6 \, d^{2} e g j^{3} m n^{2} \log\left(c\right) + 2 \, d^{2} e g j^{3} m n \log\left(c\right)^{2}\right)} b^{3}\right)} x\right)} \log\left(e x + d\right) - 6 \, {\left({\left(2 \, {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} a^{2} b e^{3} g - 2 \, {\left(e^{3} g j^{3} m n - 2 \, {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} e^{3} g \log\left(c\right)\right)} a b^{2} + {\left(e^{3} g j^{3} m n^{2} - 2 \, e^{3} g j^{3} m n \log\left(c\right) + 2 \, {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} e^{3} g \log\left(c\right)^{2}\right)} b^{3}\right)} x^{3} - {\left(2 \, {\left(2 \, e^{3} g i j^{2} \log\left(h\right) - {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} d e^{2} g\right)} a^{2} b - 2 \, {\left(d e^{2} g j^{3} m n - 2 \, {\left(2 \, e^{3} g i j^{2} \log\left(h\right) - {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} d e^{2} g\right)} \log\left(c\right)\right)} a b^{2} + {\left(5 \, d e^{2} g j^{3} m n^{2} - 2 \, d e^{2} g j^{3} m n \log\left(c\right) + 2 \, {\left(2 \, e^{3} g i j^{2} \log\left(h\right) - {\left(j^{3} m - 2 \, j^{3} \log\left(h\right)\right)} d e^{2} g\right)} \log\left(c\right)^{2}\right)} b^{3}\right)} x^{2} + 2 \, {\left(b^{3} d^{2} e g j^{3} m n^{2} x + b^{3} d^{3} g j^{3} m n^{2}\right)} \log\left(e x + d\right)^{2} - 2 \, {\left(2 \, a^{2} b d e^{2} g i j^{2} \log\left(h\right) - 2 \, {\left(d^{2} e g j^{3} m n - 2 \, d e^{2} g i j^{2} \log\left(c\right) \log\left(h\right)\right)} a b^{2} + {\left(3 \, d^{2} e g j^{3} m n^{2} - 2 \, d^{2} e g j^{3} m n \log\left(c\right) + 2 \, d e^{2} g i j^{2} \log\left(c\right)^{2} \log\left(h\right)\right)} b^{3}\right)} x - 2 \, {\left(2 \, a b^{2} d^{3} g j^{3} m n - {\left(3 \, d^{3} g j^{3} m n^{2} - 2 \, d^{3} g j^{3} m n \log\left(c\right)\right)} b^{3} + {\left(2 \, a b^{2} d^{2} e g j^{3} m n - {\left(3 \, d^{2} e g j^{3} m n^{2} - 2 \, d^{2} e g j^{3} m n \log\left(c\right)\right)} b^{3}\right)} x\right)} \log\left(e x + d\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)}{8 \, {\left(e^{3} j^{3} x^{2} + d e^{2} i j^{2} + {\left(e^{3} i j^{2} + d e^{2} j^{3}\right)} x\right)}}\,{d x}"," ",0,"1/2*b^3*f*x^2*log((e*x + d)^n*c)^3 + 3/2*a*b^2*f*x^2*log((e*x + d)^n*c)^2 - 3/4*a^2*b*e*f*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) - 1/4*a^3*g*j*m*(2*i^2*log(j*x + i)/j^3 + (j*x^2 - 2*i*x)/j^2) + 3/2*a^2*b*f*x^2*log((e*x + d)^n*c) + 1/2*a^3*g*x^2*log((j*x + i)^m*h) + 1/2*a^3*f*x^2 - 3/4*(2*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c) - (e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n^2/e^2)*a*b^2*f - 1/8*(6*e*n*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2)*log((e*x + d)^n*c)^2 + e*n*((4*d^2*log(e*x + d)^3 + 3*e^2*x^2 + 18*d^2*log(e*x + d)^2 - 42*d*e*x + 42*d^2*log(e*x + d))*n^2/e^3 - 6*(e^2*x^2 + 2*d^2*log(e*x + d)^2 - 6*d*e*x + 6*d^2*log(e*x + d))*n*log((e*x + d)^n*c)/e^3))*b^3*f + 1/8*(2*(2*b^3*e^2*g*i*j*m*x - 2*b^3*e^2*g*i^2*m*log(j*x + i) - (j^2*m - 2*j^2*log(h))*b^3*e^2*g*x^2)*log((e*x + d)^n)^3 - (4*b^3*d^2*g*j^2*n^3*log(e*x + d)^3 - 4*b^3*e^2*g*j^2*x^2*log((e*x + d)^n)^3 + (6*(e^2*g*j^2*n - 2*e^2*g*j^2*log(c))*a^2*b - 6*(e^2*g*j^2*n^2 - 2*e^2*g*j^2*n*log(c) + 2*e^2*g*j^2*log(c)^2)*a*b^2 + (3*e^2*g*j^2*n^3 - 6*e^2*g*j^2*n^2*log(c) + 6*e^2*g*j^2*n*log(c)^2 - 4*e^2*g*j^2*log(c)^3)*b^3)*x^2 - 6*(2*a*b^2*d^2*g*j^2*n^2 - (3*d^2*g*j^2*n^3 - 2*d^2*g*j^2*n^2*log(c))*b^3)*log(e*x + d)^2 - 6*(2*b^3*d*e*g*j^2*n*x - 2*b^3*d^2*g*j^2*n*log(e*x + d) + (2*a*b^2*e^2*g*j^2 - (e^2*g*j^2*n - 2*e^2*g*j^2*log(c))*b^3)*x^2)*log((e*x + d)^n)^2 - 6*(2*a^2*b*d*e*g*j^2*n - 2*(3*d*e*g*j^2*n^2 - 2*d*e*g*j^2*n*log(c))*a*b^2 + (7*d*e*g*j^2*n^3 - 6*d*e*g*j^2*n^2*log(c) + 2*d*e*g*j^2*n*log(c)^2)*b^3)*x + 6*(2*a^2*b*d^2*g*j^2*n - 2*(3*d^2*g*j^2*n^2 - 2*d^2*g*j^2*n*log(c))*a*b^2 + (7*d^2*g*j^2*n^3 - 6*d^2*g*j^2*n^2*log(c) + 2*d^2*g*j^2*n*log(c)^2)*b^3)*log(e*x + d) - 6*(2*b^3*d^2*g*j^2*n^2*log(e*x + d)^2 + (2*a^2*b*e^2*g*j^2 - 2*(e^2*g*j^2*n - 2*e^2*g*j^2*log(c))*a*b^2 + (e^2*g*j^2*n^2 - 2*e^2*g*j^2*n*log(c) + 2*e^2*g*j^2*log(c)^2)*b^3)*x^2 + 2*(2*a*b^2*d*e*g*j^2*n - (3*d*e*g*j^2*n^2 - 2*d*e*g*j^2*n*log(c))*b^3)*x - 2*(2*a*b^2*d^2*g*j^2*n - (3*d^2*g*j^2*n^2 - 2*d^2*g*j^2*n*log(c))*b^3)*log(e*x + d))*log((e*x + d)^n))*log((j*x + i)^m))/(e^2*j^2) + integrate(1/8*((6*(e^3*g*j^3*m*n - 2*(j^3*m - 2*j^3*log(h))*e^3*g*log(c))*a^2*b - 6*(e^3*g*j^3*m*n^2 - 2*e^3*g*j^3*m*n*log(c) + 2*(j^3*m - 2*j^3*log(h))*e^3*g*log(c)^2)*a*b^2 + (3*e^3*g*j^3*m*n^3 - 6*e^3*g*j^3*m*n^2*log(c) + 6*e^3*g*j^3*m*n*log(c)^2 - 4*(j^3*m - 2*j^3*log(h))*e^3*g*log(c)^3)*b^3)*x^3 + 4*(b^3*d^2*e*g*j^3*m*n^3*x + b^3*d^3*g*j^3*m*n^3)*log(e*x + d)^3 - (6*(d*e^2*g*j^3*m*n - 2*(2*e^3*g*i*j^2*log(h) - (j^3*m - 2*j^3*log(h))*d*e^2*g)*log(c))*a^2*b - 6*(5*d*e^2*g*j^3*m*n^2 - 2*d*e^2*g*j^3*m*n*log(c) + 2*(2*e^3*g*i*j^2*log(h) - (j^3*m - 2*j^3*log(h))*d*e^2*g)*log(c)^2)*a*b^2 + (39*d*e^2*g*j^3*m*n^3 - 30*d*e^2*g*j^3*m*n^2*log(c) + 6*d*e^2*g*j^3*m*n*log(c)^2 - 4*(2*e^3*g*i*j^2*log(h) - (j^3*m - 2*j^3*log(h))*d*e^2*g)*log(c)^3)*b^3)*x^2 - 6*(2*a*b^2*d^3*g*j^3*m*n^2 - (3*d^3*g*j^3*m*n^3 - 2*d^3*g*j^3*m*n^2*log(c))*b^3 + (2*a*b^2*d^2*e*g*j^3*m*n^2 - (3*d^2*e*g*j^3*m*n^3 - 2*d^2*e*g*j^3*m*n^2*log(c))*b^3)*x)*log(e*x + d)^2 - 6*(2*((j^3*m - 2*j^3*log(h))*a*b^2*e^3*g + ((j^3*m - 2*j^3*log(h))*e^3*g*log(c) - (j^3*m*n - j^3*n*log(h))*e^3*g)*b^3)*x^3 - (2*(2*e^3*g*i*j^2*log(h) - (j^3*m - 2*j^3*log(h))*d*e^2*g)*a*b^2 - (d*e^2*g*j^3*m*n + (i*j^2*m*n + 2*i*j^2*n*log(h))*e^3*g - 2*(2*e^3*g*i*j^2*log(h) - (j^3*m - 2*j^3*log(h))*d*e^2*g)*log(c))*b^3)*x^2 - 2*(2*a*b^2*d*e^2*g*i*j^2*log(h) - (e^3*g*i^2*j*m*n + d^2*e*g*j^3*m*n - 2*d*e^2*g*i*j^2*log(c)*log(h))*b^3)*x - 2*(b^3*d^2*e*g*j^3*m*n*x + b^3*d^3*g*j^3*m*n)*log(e*x + d) - 2*(b^3*e^3*g*i^2*j*m*n*x + b^3*e^3*g*i^3*m*n)*log(j*x + i))*log((e*x + d)^n)^2 - 2*(6*(d^2*e*g*j^3*m*n - 2*d*e^2*g*i*j^2*log(c)*log(h))*a^2*b - 6*(3*d^2*e*g*j^3*m*n^2 - 2*d^2*e*g*j^3*m*n*log(c) + 2*d*e^2*g*i*j^2*log(c)^2*log(h))*a*b^2 + (21*d^2*e*g*j^3*m*n^3 - 18*d^2*e*g*j^3*m*n^2*log(c) + 6*d^2*e*g*j^3*m*n*log(c)^2 - 4*d*e^2*g*i*j^2*log(c)^3*log(h))*b^3)*x + 6*(2*a^2*b*d^3*g*j^3*m*n - 2*(3*d^3*g*j^3*m*n^2 - 2*d^3*g*j^3*m*n*log(c))*a*b^2 + (7*d^3*g*j^3*m*n^3 - 6*d^3*g*j^3*m*n^2*log(c) + 2*d^3*g*j^3*m*n*log(c)^2)*b^3 + (2*a^2*b*d^2*e*g*j^3*m*n - 2*(3*d^2*e*g*j^3*m*n^2 - 2*d^2*e*g*j^3*m*n*log(c))*a*b^2 + (7*d^2*e*g*j^3*m*n^3 - 6*d^2*e*g*j^3*m*n^2*log(c) + 2*d^2*e*g*j^3*m*n*log(c)^2)*b^3)*x)*log(e*x + d) - 6*((2*(j^3*m - 2*j^3*log(h))*a^2*b*e^3*g - 2*(e^3*g*j^3*m*n - 2*(j^3*m - 2*j^3*log(h))*e^3*g*log(c))*a*b^2 + (e^3*g*j^3*m*n^2 - 2*e^3*g*j^3*m*n*log(c) + 2*(j^3*m - 2*j^3*log(h))*e^3*g*log(c)^2)*b^3)*x^3 - (2*(2*e^3*g*i*j^2*log(h) - (j^3*m - 2*j^3*log(h))*d*e^2*g)*a^2*b - 2*(d*e^2*g*j^3*m*n - 2*(2*e^3*g*i*j^2*log(h) - (j^3*m - 2*j^3*log(h))*d*e^2*g)*log(c))*a*b^2 + (5*d*e^2*g*j^3*m*n^2 - 2*d*e^2*g*j^3*m*n*log(c) + 2*(2*e^3*g*i*j^2*log(h) - (j^3*m - 2*j^3*log(h))*d*e^2*g)*log(c)^2)*b^3)*x^2 + 2*(b^3*d^2*e*g*j^3*m*n^2*x + b^3*d^3*g*j^3*m*n^2)*log(e*x + d)^2 - 2*(2*a^2*b*d*e^2*g*i*j^2*log(h) - 2*(d^2*e*g*j^3*m*n - 2*d*e^2*g*i*j^2*log(c)*log(h))*a*b^2 + (3*d^2*e*g*j^3*m*n^2 - 2*d^2*e*g*j^3*m*n*log(c) + 2*d*e^2*g*i*j^2*log(c)^2*log(h))*b^3)*x - 2*(2*a*b^2*d^3*g*j^3*m*n - (3*d^3*g*j^3*m*n^2 - 2*d^3*g*j^3*m*n*log(c))*b^3 + (2*a*b^2*d^2*e*g*j^3*m*n - (3*d^2*e*g*j^3*m*n^2 - 2*d^2*e*g*j^3*m*n*log(c))*b^3)*x)*log(e*x + d))*log((e*x + d)^n))/(e^3*j^3*x^2 + d*e^2*i*j^2 + (e^3*i*j^2 + d*e^2*j^3)*x), x)","F",0
398,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3*(f+g*log(h*(j*x+i)^m)),x, algorithm=""maxima"")","b^{3} f x \log\left({\left(e x + d\right)}^{n} c\right)^{3} - 3 \, a^{2} b e f n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} - a^{3} g j m {\left(\frac{x}{j} - \frac{i \log\left(j x + i\right)}{j^{2}}\right)} + 3 \, a b^{2} f x \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 3 \, a^{2} b f x \log\left({\left(e x + d\right)}^{n} c\right) + a^{3} g x \log\left({\left(j x + i\right)}^{m} h\right) - 3 \, {\left(2 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right) + \frac{{\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n^{2}}{e}\right)} a b^{2} f - {\left(3 \, e n {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} \log\left({\left(e x + d\right)}^{n} c\right)^{2} - e n {\left(\frac{{\left(d \log\left(e x + d\right)^{3} + 3 \, d \log\left(e x + d\right)^{2} - 6 \, e x + 6 \, d \log\left(e x + d\right)\right)} n^{2}}{e^{2}} - \frac{3 \, {\left(d \log\left(e x + d\right)^{2} - 2 \, e x + 2 \, d \log\left(e x + d\right)\right)} n \log\left({\left(e x + d\right)}^{n} c\right)}{e^{2}}\right)}\right)} b^{3} f + a^{3} f x + \frac{{\left(b^{3} e g i m \log\left(j x + i\right) - {\left(j m - j \log\left(h\right)\right)} b^{3} e g x\right)} \log\left({\left(e x + d\right)}^{n}\right)^{3} + {\left(b^{3} d g j n^{3} \log\left(e x + d\right)^{3} + b^{3} e g j x \log\left({\left(e x + d\right)}^{n}\right)^{3} - 3 \, {\left(a b^{2} d g j n^{2} - {\left(d g j n^{3} - d g j n^{2} \log\left(c\right)\right)} b^{3}\right)} \log\left(e x + d\right)^{2} + 3 \, {\left(b^{3} d g j n \log\left(e x + d\right) + {\left(a b^{2} e g j - {\left(e g j n - e g j \log\left(c\right)\right)} b^{3}\right)} x\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} - {\left(3 \, {\left(e g j n - e g j \log\left(c\right)\right)} a^{2} b - 3 \, {\left(2 \, e g j n^{2} - 2 \, e g j n \log\left(c\right) + e g j \log\left(c\right)^{2}\right)} a b^{2} + {\left(6 \, e g j n^{3} - 6 \, e g j n^{2} \log\left(c\right) + 3 \, e g j n \log\left(c\right)^{2} - e g j \log\left(c\right)^{3}\right)} b^{3}\right)} x + 3 \, {\left(a^{2} b d g j n - 2 \, {\left(d g j n^{2} - d g j n \log\left(c\right)\right)} a b^{2} + {\left(2 \, d g j n^{3} - 2 \, d g j n^{2} \log\left(c\right) + d g j n \log\left(c\right)^{2}\right)} b^{3}\right)} \log\left(e x + d\right) - 3 \, {\left(b^{3} d g j n^{2} \log\left(e x + d\right)^{2} - {\left(a^{2} b e g j - 2 \, {\left(e g j n - e g j \log\left(c\right)\right)} a b^{2} + {\left(2 \, e g j n^{2} - 2 \, e g j n \log\left(c\right) + e g j \log\left(c\right)^{2}\right)} b^{3}\right)} x - 2 \, {\left(a b^{2} d g j n - {\left(d g j n^{2} - d g j n \log\left(c\right)\right)} b^{3}\right)} \log\left(e x + d\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)} \log\left({\left(j x + i\right)}^{m}\right)}{e j} - \int -\frac{b^{3} d e g i j \log\left(c\right)^{3} \log\left(h\right) + 3 \, a b^{2} d e g i j \log\left(c\right)^{2} \log\left(h\right) + 3 \, a^{2} b d e g i j \log\left(c\right) \log\left(h\right) - {\left(b^{3} d e g j^{2} m n^{3} x + b^{3} d^{2} g j^{2} m n^{3}\right)} \log\left(e x + d\right)^{3} + {\left(3 \, {\left(e^{2} g j^{2} m n - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} e^{2} g \log\left(c\right)\right)} a^{2} b - 3 \, {\left(2 \, e^{2} g j^{2} m n^{2} - 2 \, e^{2} g j^{2} m n \log\left(c\right) + {\left(j^{2} m - j^{2} \log\left(h\right)\right)} e^{2} g \log\left(c\right)^{2}\right)} a b^{2} + {\left(6 \, e^{2} g j^{2} m n^{3} - 6 \, e^{2} g j^{2} m n^{2} \log\left(c\right) + 3 \, e^{2} g j^{2} m n \log\left(c\right)^{2} - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} e^{2} g \log\left(c\right)^{3}\right)} b^{3}\right)} x^{2} + 3 \, {\left(a b^{2} d^{2} g j^{2} m n^{2} - {\left(d^{2} g j^{2} m n^{3} - d^{2} g j^{2} m n^{2} \log\left(c\right)\right)} b^{3} + {\left(a b^{2} d e g j^{2} m n^{2} - {\left(d e g j^{2} m n^{3} - d e g j^{2} m n^{2} \log\left(c\right)\right)} b^{3}\right)} x\right)} \log\left(e x + d\right)^{2} + 3 \, {\left(b^{3} d e g i j \log\left(c\right) \log\left(h\right) + a b^{2} d e g i j \log\left(h\right) - {\left({\left(j^{2} m - j^{2} \log\left(h\right)\right)} a b^{2} e^{2} g + {\left({\left(j^{2} m - j^{2} \log\left(h\right)\right)} e^{2} g \log\left(c\right) - {\left(2 \, j^{2} m n - j^{2} n \log\left(h\right)\right)} e^{2} g\right)} b^{3}\right)} x^{2} + {\left({\left(e^{2} g i j \log\left(h\right) - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} d e g\right)} a b^{2} + {\left(d e g j^{2} m n + {\left(i j m n - i j n \log\left(h\right)\right)} e^{2} g + {\left(e^{2} g i j \log\left(h\right) - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} d e g\right)} \log\left(c\right)\right)} b^{3}\right)} x - {\left(b^{3} d e g j^{2} m n x + b^{3} d^{2} g j^{2} m n\right)} \log\left(e x + d\right) - {\left(b^{3} e^{2} g i j m n x + b^{3} e^{2} g i^{2} m n\right)} \log\left(j x + i\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + {\left(3 \, {\left(d e g j^{2} m n + {\left(e^{2} g i j \log\left(h\right) - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} d e g\right)} \log\left(c\right)\right)} a^{2} b - 3 \, {\left(2 \, d e g j^{2} m n^{2} - 2 \, d e g j^{2} m n \log\left(c\right) - {\left(e^{2} g i j \log\left(h\right) - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} d e g\right)} \log\left(c\right)^{2}\right)} a b^{2} + {\left(6 \, d e g j^{2} m n^{3} - 6 \, d e g j^{2} m n^{2} \log\left(c\right) + 3 \, d e g j^{2} m n \log\left(c\right)^{2} + {\left(e^{2} g i j \log\left(h\right) - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} d e g\right)} \log\left(c\right)^{3}\right)} b^{3}\right)} x - 3 \, {\left(a^{2} b d^{2} g j^{2} m n - 2 \, {\left(d^{2} g j^{2} m n^{2} - d^{2} g j^{2} m n \log\left(c\right)\right)} a b^{2} + {\left(2 \, d^{2} g j^{2} m n^{3} - 2 \, d^{2} g j^{2} m n^{2} \log\left(c\right) + d^{2} g j^{2} m n \log\left(c\right)^{2}\right)} b^{3} + {\left(a^{2} b d e g j^{2} m n - 2 \, {\left(d e g j^{2} m n^{2} - d e g j^{2} m n \log\left(c\right)\right)} a b^{2} + {\left(2 \, d e g j^{2} m n^{3} - 2 \, d e g j^{2} m n^{2} \log\left(c\right) + d e g j^{2} m n \log\left(c\right)^{2}\right)} b^{3}\right)} x\right)} \log\left(e x + d\right) + 3 \, {\left(b^{3} d e g i j \log\left(c\right)^{2} \log\left(h\right) + 2 \, a b^{2} d e g i j \log\left(c\right) \log\left(h\right) + a^{2} b d e g i j \log\left(h\right) - {\left({\left(j^{2} m - j^{2} \log\left(h\right)\right)} a^{2} b e^{2} g - 2 \, {\left(e^{2} g j^{2} m n - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} e^{2} g \log\left(c\right)\right)} a b^{2} + {\left(2 \, e^{2} g j^{2} m n^{2} - 2 \, e^{2} g j^{2} m n \log\left(c\right) + {\left(j^{2} m - j^{2} \log\left(h\right)\right)} e^{2} g \log\left(c\right)^{2}\right)} b^{3}\right)} x^{2} + {\left(b^{3} d e g j^{2} m n^{2} x + b^{3} d^{2} g j^{2} m n^{2}\right)} \log\left(e x + d\right)^{2} + {\left({\left(e^{2} g i j \log\left(h\right) - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} d e g\right)} a^{2} b + 2 \, {\left(d e g j^{2} m n + {\left(e^{2} g i j \log\left(h\right) - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} d e g\right)} \log\left(c\right)\right)} a b^{2} - {\left(2 \, d e g j^{2} m n^{2} - 2 \, d e g j^{2} m n \log\left(c\right) - {\left(e^{2} g i j \log\left(h\right) - {\left(j^{2} m - j^{2} \log\left(h\right)\right)} d e g\right)} \log\left(c\right)^{2}\right)} b^{3}\right)} x - 2 \, {\left(a b^{2} d^{2} g j^{2} m n - {\left(d^{2} g j^{2} m n^{2} - d^{2} g j^{2} m n \log\left(c\right)\right)} b^{3} + {\left(a b^{2} d e g j^{2} m n - {\left(d e g j^{2} m n^{2} - d e g j^{2} m n \log\left(c\right)\right)} b^{3}\right)} x\right)} \log\left(e x + d\right)\right)} \log\left({\left(e x + d\right)}^{n}\right)}{e^{2} j^{2} x^{2} + d e i j + {\left(e^{2} i j + d e j^{2}\right)} x}\,{d x}"," ",0,"b^3*f*x*log((e*x + d)^n*c)^3 - 3*a^2*b*e*f*n*(x/e - d*log(e*x + d)/e^2) - a^3*g*j*m*(x/j - i*log(j*x + i)/j^2) + 3*a*b^2*f*x*log((e*x + d)^n*c)^2 + 3*a^2*b*f*x*log((e*x + d)^n*c) + a^3*g*x*log((j*x + i)^m*h) - 3*(2*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c) + (d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n^2/e)*a*b^2*f - (3*e*n*(x/e - d*log(e*x + d)/e^2)*log((e*x + d)^n*c)^2 - e*n*((d*log(e*x + d)^3 + 3*d*log(e*x + d)^2 - 6*e*x + 6*d*log(e*x + d))*n^2/e^2 - 3*(d*log(e*x + d)^2 - 2*e*x + 2*d*log(e*x + d))*n*log((e*x + d)^n*c)/e^2))*b^3*f + a^3*f*x + ((b^3*e*g*i*m*log(j*x + i) - (j*m - j*log(h))*b^3*e*g*x)*log((e*x + d)^n)^3 + (b^3*d*g*j*n^3*log(e*x + d)^3 + b^3*e*g*j*x*log((e*x + d)^n)^3 - 3*(a*b^2*d*g*j*n^2 - (d*g*j*n^3 - d*g*j*n^2*log(c))*b^3)*log(e*x + d)^2 + 3*(b^3*d*g*j*n*log(e*x + d) + (a*b^2*e*g*j - (e*g*j*n - e*g*j*log(c))*b^3)*x)*log((e*x + d)^n)^2 - (3*(e*g*j*n - e*g*j*log(c))*a^2*b - 3*(2*e*g*j*n^2 - 2*e*g*j*n*log(c) + e*g*j*log(c)^2)*a*b^2 + (6*e*g*j*n^3 - 6*e*g*j*n^2*log(c) + 3*e*g*j*n*log(c)^2 - e*g*j*log(c)^3)*b^3)*x + 3*(a^2*b*d*g*j*n - 2*(d*g*j*n^2 - d*g*j*n*log(c))*a*b^2 + (2*d*g*j*n^3 - 2*d*g*j*n^2*log(c) + d*g*j*n*log(c)^2)*b^3)*log(e*x + d) - 3*(b^3*d*g*j*n^2*log(e*x + d)^2 - (a^2*b*e*g*j - 2*(e*g*j*n - e*g*j*log(c))*a*b^2 + (2*e*g*j*n^2 - 2*e*g*j*n*log(c) + e*g*j*log(c)^2)*b^3)*x - 2*(a*b^2*d*g*j*n - (d*g*j*n^2 - d*g*j*n*log(c))*b^3)*log(e*x + d))*log((e*x + d)^n))*log((j*x + i)^m))/(e*j) - integrate(-(b^3*d*e*g*i*j*log(c)^3*log(h) + 3*a*b^2*d*e*g*i*j*log(c)^2*log(h) + 3*a^2*b*d*e*g*i*j*log(c)*log(h) - (b^3*d*e*g*j^2*m*n^3*x + b^3*d^2*g*j^2*m*n^3)*log(e*x + d)^3 + (3*(e^2*g*j^2*m*n - (j^2*m - j^2*log(h))*e^2*g*log(c))*a^2*b - 3*(2*e^2*g*j^2*m*n^2 - 2*e^2*g*j^2*m*n*log(c) + (j^2*m - j^2*log(h))*e^2*g*log(c)^2)*a*b^2 + (6*e^2*g*j^2*m*n^3 - 6*e^2*g*j^2*m*n^2*log(c) + 3*e^2*g*j^2*m*n*log(c)^2 - (j^2*m - j^2*log(h))*e^2*g*log(c)^3)*b^3)*x^2 + 3*(a*b^2*d^2*g*j^2*m*n^2 - (d^2*g*j^2*m*n^3 - d^2*g*j^2*m*n^2*log(c))*b^3 + (a*b^2*d*e*g*j^2*m*n^2 - (d*e*g*j^2*m*n^3 - d*e*g*j^2*m*n^2*log(c))*b^3)*x)*log(e*x + d)^2 + 3*(b^3*d*e*g*i*j*log(c)*log(h) + a*b^2*d*e*g*i*j*log(h) - ((j^2*m - j^2*log(h))*a*b^2*e^2*g + ((j^2*m - j^2*log(h))*e^2*g*log(c) - (2*j^2*m*n - j^2*n*log(h))*e^2*g)*b^3)*x^2 + ((e^2*g*i*j*log(h) - (j^2*m - j^2*log(h))*d*e*g)*a*b^2 + (d*e*g*j^2*m*n + (i*j*m*n - i*j*n*log(h))*e^2*g + (e^2*g*i*j*log(h) - (j^2*m - j^2*log(h))*d*e*g)*log(c))*b^3)*x - (b^3*d*e*g*j^2*m*n*x + b^3*d^2*g*j^2*m*n)*log(e*x + d) - (b^3*e^2*g*i*j*m*n*x + b^3*e^2*g*i^2*m*n)*log(j*x + i))*log((e*x + d)^n)^2 + (3*(d*e*g*j^2*m*n + (e^2*g*i*j*log(h) - (j^2*m - j^2*log(h))*d*e*g)*log(c))*a^2*b - 3*(2*d*e*g*j^2*m*n^2 - 2*d*e*g*j^2*m*n*log(c) - (e^2*g*i*j*log(h) - (j^2*m - j^2*log(h))*d*e*g)*log(c)^2)*a*b^2 + (6*d*e*g*j^2*m*n^3 - 6*d*e*g*j^2*m*n^2*log(c) + 3*d*e*g*j^2*m*n*log(c)^2 + (e^2*g*i*j*log(h) - (j^2*m - j^2*log(h))*d*e*g)*log(c)^3)*b^3)*x - 3*(a^2*b*d^2*g*j^2*m*n - 2*(d^2*g*j^2*m*n^2 - d^2*g*j^2*m*n*log(c))*a*b^2 + (2*d^2*g*j^2*m*n^3 - 2*d^2*g*j^2*m*n^2*log(c) + d^2*g*j^2*m*n*log(c)^2)*b^3 + (a^2*b*d*e*g*j^2*m*n - 2*(d*e*g*j^2*m*n^2 - d*e*g*j^2*m*n*log(c))*a*b^2 + (2*d*e*g*j^2*m*n^3 - 2*d*e*g*j^2*m*n^2*log(c) + d*e*g*j^2*m*n*log(c)^2)*b^3)*x)*log(e*x + d) + 3*(b^3*d*e*g*i*j*log(c)^2*log(h) + 2*a*b^2*d*e*g*i*j*log(c)*log(h) + a^2*b*d*e*g*i*j*log(h) - ((j^2*m - j^2*log(h))*a^2*b*e^2*g - 2*(e^2*g*j^2*m*n - (j^2*m - j^2*log(h))*e^2*g*log(c))*a*b^2 + (2*e^2*g*j^2*m*n^2 - 2*e^2*g*j^2*m*n*log(c) + (j^2*m - j^2*log(h))*e^2*g*log(c)^2)*b^3)*x^2 + (b^3*d*e*g*j^2*m*n^2*x + b^3*d^2*g*j^2*m*n^2)*log(e*x + d)^2 + ((e^2*g*i*j*log(h) - (j^2*m - j^2*log(h))*d*e*g)*a^2*b + 2*(d*e*g*j^2*m*n + (e^2*g*i*j*log(h) - (j^2*m - j^2*log(h))*d*e*g)*log(c))*a*b^2 - (2*d*e*g*j^2*m*n^2 - 2*d*e*g*j^2*m*n*log(c) - (e^2*g*i*j*log(h) - (j^2*m - j^2*log(h))*d*e*g)*log(c)^2)*b^3)*x - 2*(a*b^2*d^2*g*j^2*m*n - (d^2*g*j^2*m*n^2 - d^2*g*j^2*m*n*log(c))*b^3 + (a*b^2*d*e*g*j^2*m*n - (d*e*g*j^2*m*n^2 - d*e*g*j^2*m*n*log(c))*b^3)*x)*log(e*x + d))*log((e*x + d)^n))/(e^2*j^2*x^2 + d*e*i*j + (e^2*i*j + d*e*j^2)*x), x)","F",0
399,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3*(f+g*log(h*(j*x+i)^m))/x,x, algorithm=""maxima"")","a^{3} f \log\left(x\right) + \int \frac{{\left(g \log\left(h\right) + f\right)} b^{3} \log\left({\left(e x + d\right)}^{n}\right)^{3} + {\left(g \log\left(h\right) + f\right)} b^{3} \log\left(c\right)^{3} + 3 \, {\left(g \log\left(h\right) + f\right)} a b^{2} \log\left(c\right)^{2} + 3 \, {\left(g \log\left(h\right) + f\right)} a^{2} b \log\left(c\right) + a^{3} g \log\left(h\right) + 3 \, {\left({\left(g \log\left(h\right) + f\right)} b^{3} \log\left(c\right) + {\left(g \log\left(h\right) + f\right)} a b^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 3 \, {\left({\left(g \log\left(h\right) + f\right)} b^{3} \log\left(c\right)^{2} + 2 \, {\left(g \log\left(h\right) + f\right)} a b^{2} \log\left(c\right) + {\left(g \log\left(h\right) + f\right)} a^{2} b\right)} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{3} g \log\left({\left(e x + d\right)}^{n}\right)^{3} + b^{3} g \log\left(c\right)^{3} + 3 \, a b^{2} g \log\left(c\right)^{2} + 3 \, a^{2} b g \log\left(c\right) + a^{3} g + 3 \, {\left(b^{3} g \log\left(c\right) + a b^{2} g\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 3 \, {\left(b^{3} g \log\left(c\right)^{2} + 2 \, a b^{2} g \log\left(c\right) + a^{2} b g\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)} \log\left({\left(j x + i\right)}^{m}\right)}{x}\,{d x}"," ",0,"a^3*f*log(x) + integrate(((g*log(h) + f)*b^3*log((e*x + d)^n)^3 + (g*log(h) + f)*b^3*log(c)^3 + 3*(g*log(h) + f)*a*b^2*log(c)^2 + 3*(g*log(h) + f)*a^2*b*log(c) + a^3*g*log(h) + 3*((g*log(h) + f)*b^3*log(c) + (g*log(h) + f)*a*b^2)*log((e*x + d)^n)^2 + 3*((g*log(h) + f)*b^3*log(c)^2 + 2*(g*log(h) + f)*a*b^2*log(c) + (g*log(h) + f)*a^2*b)*log((e*x + d)^n) + (b^3*g*log((e*x + d)^n)^3 + b^3*g*log(c)^3 + 3*a*b^2*g*log(c)^2 + 3*a^2*b*g*log(c) + a^3*g + 3*(b^3*g*log(c) + a*b^2*g)*log((e*x + d)^n)^2 + 3*(b^3*g*log(c)^2 + 2*a*b^2*g*log(c) + a^2*b*g)*log((e*x + d)^n))*log((j*x + i)^m))/x, x)","F",0
400,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3*(f+g*log(h*(j*x+i)^m))/x^2,x, algorithm=""maxima"")","-3 \, a^{2} b e f n {\left(\frac{\log\left(e x + d\right)}{d} - \frac{\log\left(x\right)}{d}\right)} - \frac{3 \, a^{2} b f \log\left({\left(e x + d\right)}^{n} c\right)}{x} - \frac{a^{3} f}{x} + \int \frac{{\left(g \log\left(h\right) + f\right)} b^{3} \log\left({\left(e x + d\right)}^{n}\right)^{3} + {\left(g \log\left(h\right) + f\right)} b^{3} \log\left(c\right)^{3} + 3 \, {\left(g \log\left(h\right) + f\right)} a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b g \log\left(c\right) \log\left(h\right) + a^{3} g \log\left(h\right) + 3 \, {\left({\left(g \log\left(h\right) + f\right)} b^{3} \log\left(c\right) + {\left(g \log\left(h\right) + f\right)} a b^{2}\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 3 \, {\left({\left(g \log\left(h\right) + f\right)} b^{3} \log\left(c\right)^{2} + 2 \, {\left(g \log\left(h\right) + f\right)} a b^{2} \log\left(c\right) + a^{2} b g \log\left(h\right)\right)} \log\left({\left(e x + d\right)}^{n}\right) + {\left(b^{3} g \log\left({\left(e x + d\right)}^{n}\right)^{3} + b^{3} g \log\left(c\right)^{3} + 3 \, a b^{2} g \log\left(c\right)^{2} + 3 \, a^{2} b g \log\left(c\right) + a^{3} g + 3 \, {\left(b^{3} g \log\left(c\right) + a b^{2} g\right)} \log\left({\left(e x + d\right)}^{n}\right)^{2} + 3 \, {\left(b^{3} g \log\left(c\right)^{2} + 2 \, a b^{2} g \log\left(c\right) + a^{2} b g\right)} \log\left({\left(e x + d\right)}^{n}\right)\right)} \log\left({\left(j x + i\right)}^{m}\right)}{x^{2}}\,{d x}"," ",0,"-3*a^2*b*e*f*n*(log(e*x + d)/d - log(x)/d) - 3*a^2*b*f*log((e*x + d)^n*c)/x - a^3*f/x + integrate(((g*log(h) + f)*b^3*log((e*x + d)^n)^3 + (g*log(h) + f)*b^3*log(c)^3 + 3*(g*log(h) + f)*a*b^2*log(c)^2 + 3*a^2*b*g*log(c)*log(h) + a^3*g*log(h) + 3*((g*log(h) + f)*b^3*log(c) + (g*log(h) + f)*a*b^2)*log((e*x + d)^n)^2 + 3*((g*log(h) + f)*b^3*log(c)^2 + 2*(g*log(h) + f)*a*b^2*log(c) + a^2*b*g*log(h))*log((e*x + d)^n) + (b^3*g*log((e*x + d)^n)^3 + b^3*g*log(c)^3 + 3*a*b^2*g*log(c)^2 + 3*a^2*b*g*log(c) + a^3*g + 3*(b^3*g*log(c) + a*b^2*g)*log((e*x + d)^n)^2 + 3*(b^3*g*log(c)^2 + 2*a*b^2*g*log(c) + a^2*b*g)*log((e*x + d)^n))*log((j*x + i)^m))/x^2, x)","F",0
401,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*log(e*(g*x+f)/(-d*g+e*f))/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} \log\left(\frac{{\left(g x + f\right)} e}{e f - d g}\right)}{e x + d}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*log((g*x + f)*e/(e*f - d*g))/(e*x + d), x)","F",0
402,1,99,0,0.637998," ","integrate(log(c*(e*x+d))*(a+b*log(c*(e*x+d)))/(e*x+d)^2,x, algorithm=""maxima"")","-{\left(b {\left(\frac{c e}{c e^{3} x + c d e^{2}} + \frac{\log\left(c e x + c d\right)}{e^{2} x + d e}\right)} + \frac{a}{e^{2} x + d e}\right)} \log\left({\left(e x + d\right)} c\right) - \frac{{\left(b {\left(\log\left(c\right) + 2\right)} + b \log\left(e x + d\right) + a\right)} e}{e^{3} x + d e^{2}}"," ",0,"-(b*(c*e/(c*e^3*x + c*d*e^2) + log(c*e*x + c*d)/(e^2*x + d*e)) + a/(e^2*x + d*e))*log((e*x + d)*c) - (b*(log(c) + 2) + b*log(e*x + d) + a)*e/(e^3*x + d*e^2)","A",0
403,1,159,0,0.710418," ","integrate((a+b*log(c*(e*x+d)))*(f+g*log(c*(e*x+d)))/(e*x+d)^2,x, algorithm=""maxima"")","-b {\left(\frac{c e}{c e^{3} x + c d e^{2}} + \frac{\log\left(c e x + c d\right)}{e^{2} x + d e}\right)} f - a {\left(\frac{c e}{c e^{3} x + c d e^{2}} + \frac{\log\left(c e x + c d\right)}{e^{2} x + d e}\right)} g - \frac{a f}{e^{2} x + d e} - \frac{{\left(c^{2} \log\left(c e x + c d\right)^{2} + 2 \, c^{2} \log\left(c e x + c d\right) + 2 \, c^{2}\right)} b g}{{\left(c e x + c d\right)} c e}"," ",0,"-b*(c*e/(c*e^3*x + c*d*e^2) + log(c*e*x + c*d)/(e^2*x + d*e))*f - a*(c*e/(c*e^3*x + c*d*e^2) + log(c*e*x + c*d)/(e^2*x + d*e))*g - a*f/(e^2*x + d*e) - (c^2*log(c*e*x + c*d)^2 + 2*c^2*log(c*e*x + c*d) + 2*c^2)*b*g/((c*e*x + c*d)*c*e)","A",0
404,1,559,0,0.858189," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^4,x, algorithm=""maxima"")","b^{4} x \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right)^{4} - 4 \, a^{3} b f m n {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} + 4 \, a b^{3} x \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right)^{3} + 6 \, a^{2} b^{2} x \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right)^{2} + 4 \, a^{3} b x \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) - 6 \, {\left(2 \, f m n {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + \frac{{\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} m^{2} n^{2}}{f}\right)} a^{2} b^{2} - 4 \, {\left(3 \, f m n {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right)^{2} - {\left(\frac{{\left(e \log\left(f x + e\right)^{3} + 3 \, e \log\left(f x + e\right)^{2} - 6 \, f x + 6 \, e \log\left(f x + e\right)\right)} m^{2} n^{2}}{f^{2}} - \frac{3 \, {\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} m n \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right)}{f^{2}}\right)} f m n\right)} a b^{3} - {\left(4 \, f m n {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right)^{3} + {\left({\left(\frac{{\left(e \log\left(f x + e\right)^{4} + 4 \, e \log\left(f x + e\right)^{3} + 12 \, e \log\left(f x + e\right)^{2} - 24 \, f x + 24 \, e \log\left(f x + e\right)\right)} m^{2} n^{2}}{f^{3}} - \frac{4 \, {\left(e \log\left(f x + e\right)^{3} + 3 \, e \log\left(f x + e\right)^{2} - 6 \, f x + 6 \, e \log\left(f x + e\right)\right)} m n \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right)}{f^{3}}\right)} f m n + \frac{6 \, {\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} m n \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right)^{2}}{f^{2}}\right)} f m n\right)} b^{4} + a^{4} x"," ",0,"b^4*x*log(((f*x + e)^m*d)^n*c)^4 - 4*a^3*b*f*m*n*(x/f - e*log(f*x + e)/f^2) + 4*a*b^3*x*log(((f*x + e)^m*d)^n*c)^3 + 6*a^2*b^2*x*log(((f*x + e)^m*d)^n*c)^2 + 4*a^3*b*x*log(((f*x + e)^m*d)^n*c) - 6*(2*f*m*n*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^m*d)^n*c) + (e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*m^2*n^2/f)*a^2*b^2 - 4*(3*f*m*n*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^m*d)^n*c)^2 - ((e*log(f*x + e)^3 + 3*e*log(f*x + e)^2 - 6*f*x + 6*e*log(f*x + e))*m^2*n^2/f^2 - 3*(e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*m*n*log(((f*x + e)^m*d)^n*c)/f^2)*f*m*n)*a*b^3 - (4*f*m*n*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^m*d)^n*c)^3 + (((e*log(f*x + e)^4 + 4*e*log(f*x + e)^3 + 12*e*log(f*x + e)^2 - 24*f*x + 24*e*log(f*x + e))*m^2*n^2/f^3 - 4*(e*log(f*x + e)^3 + 3*e*log(f*x + e)^2 - 6*f*x + 6*e*log(f*x + e))*m*n*log(((f*x + e)^m*d)^n*c)/f^3)*f*m*n + 6*(e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*m*n*log(((f*x + e)^m*d)^n*c)^2/f^2)*f*m*n)*b^4 + a^4*x","B",0
405,1,317,0,0.792293," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^3,x, algorithm=""maxima"")","-3 \, a^{2} b f m n {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} + b^{3} x \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right)^{3} + 3 \, a b^{2} x \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right)^{2} + 3 \, a^{2} b x \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) - 3 \, {\left(2 \, f m n {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + \frac{{\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} m^{2} n^{2}}{f}\right)} a b^{2} - {\left(3 \, f m n {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right)^{2} - {\left(\frac{{\left(e \log\left(f x + e\right)^{3} + 3 \, e \log\left(f x + e\right)^{2} - 6 \, f x + 6 \, e \log\left(f x + e\right)\right)} m^{2} n^{2}}{f^{2}} - \frac{3 \, {\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} m n \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right)}{f^{2}}\right)} f m n\right)} b^{3} + a^{3} x"," ",0,"-3*a^2*b*f*m*n*(x/f - e*log(f*x + e)/f^2) + b^3*x*log(((f*x + e)^m*d)^n*c)^3 + 3*a*b^2*x*log(((f*x + e)^m*d)^n*c)^2 + 3*a^2*b*x*log(((f*x + e)^m*d)^n*c) - 3*(2*f*m*n*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^m*d)^n*c) + (e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*m^2*n^2/f)*a*b^2 - (3*f*m*n*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^m*d)^n*c)^2 - ((e*log(f*x + e)^3 + 3*e*log(f*x + e)^2 - 6*f*x + 6*e*log(f*x + e))*m^2*n^2/f^2 - 3*(e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*m*n*log(((f*x + e)^m*d)^n*c)/f^2)*f*m*n)*b^3 + a^3*x","B",0
406,1,148,0,0.632023," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^2,x, algorithm=""maxima"")","-2 \, a b f m n {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} + b^{2} x \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right)^{2} + 2 \, a b x \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) - {\left(2 \, f m n {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + \frac{{\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} m^{2} n^{2}}{f}\right)} b^{2} + a^{2} x"," ",0,"-2*a*b*f*m*n*(x/f - e*log(f*x + e)/f^2) + b^2*x*log(((f*x + e)^m*d)^n*c)^2 + 2*a*b*x*log(((f*x + e)^m*d)^n*c) - (2*f*m*n*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^m*d)^n*c) + (e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*m^2*n^2/f)*b^2 + a^2*x","A",0
407,1,45,0,0.620643," ","integrate(a+b*log(c*(d*(f*x+e)^m)^n),x, algorithm=""maxima"")","-b f m n {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} + b x \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a x"," ",0,"-b*f*m*n*(x/f - e*log(f*x + e)/f^2) + b*x*log(((f*x + e)^m*d)^n*c) + a*x","A",0
408,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n)),x, algorithm=""maxima"")","\int \frac{1}{b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a}\,{d x}"," ",0,"integrate(1/(b*log(((f*x + e)^m*d)^n*c) + a), x)","F",0
409,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^2,x, algorithm=""maxima"")","-\frac{f x + e}{b^{2} f m n \log\left({\left({\left(f x + e\right)}^{m}\right)}^{n}\right) + a b f m n + {\left(f m n^{2} \log\left(d\right) + f m n \log\left(c\right)\right)} b^{2}} + \int \frac{1}{b^{2} m n \log\left({\left({\left(f x + e\right)}^{m}\right)}^{n}\right) + a b m n + {\left(m n^{2} \log\left(d\right) + m n \log\left(c\right)\right)} b^{2}}\,{d x}"," ",0,"-(f*x + e)/(b^2*f*m*n*log(((f*x + e)^m)^n) + a*b*f*m*n + (f*m*n^2*log(d) + f*m*n*log(c))*b^2) + integrate(1/(b^2*m*n*log(((f*x + e)^m)^n) + a*b*m*n + (m*n^2*log(d) + m*n*log(c))*b^2), x)","F",0
410,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^3,x, algorithm=""maxima"")","-\frac{{\left(e m n + e n \log\left(d\right) + e \log\left(c\right)\right)} b + a e + {\left({\left(f m n + f n \log\left(d\right) + f \log\left(c\right)\right)} b + a f\right)} x + {\left(b f x + b e\right)} \log\left({\left({\left(f x + e\right)}^{m}\right)}^{n}\right)}{2 \, {\left(b^{4} f m^{2} n^{2} \log\left({\left({\left(f x + e\right)}^{m}\right)}^{n}\right)^{2} + a^{2} b^{2} f m^{2} n^{2} + 2 \, {\left(f m^{2} n^{3} \log\left(d\right) + f m^{2} n^{2} \log\left(c\right)\right)} a b^{3} + {\left(f m^{2} n^{4} \log\left(d\right)^{2} + 2 \, f m^{2} n^{3} \log\left(c\right) \log\left(d\right) + f m^{2} n^{2} \log\left(c\right)^{2}\right)} b^{4} + 2 \, {\left(a b^{3} f m^{2} n^{2} + {\left(f m^{2} n^{3} \log\left(d\right) + f m^{2} n^{2} \log\left(c\right)\right)} b^{4}\right)} \log\left({\left({\left(f x + e\right)}^{m}\right)}^{n}\right)\right)}} + \int \frac{1}{2 \, {\left(b^{3} m^{2} n^{2} \log\left({\left({\left(f x + e\right)}^{m}\right)}^{n}\right) + a b^{2} m^{2} n^{2} + {\left(m^{2} n^{3} \log\left(d\right) + m^{2} n^{2} \log\left(c\right)\right)} b^{3}\right)}}\,{d x}"," ",0,"-1/2*((e*m*n + e*n*log(d) + e*log(c))*b + a*e + ((f*m*n + f*n*log(d) + f*log(c))*b + a*f)*x + (b*f*x + b*e)*log(((f*x + e)^m)^n))/(b^4*f*m^2*n^2*log(((f*x + e)^m)^n)^2 + a^2*b^2*f*m^2*n^2 + 2*(f*m^2*n^3*log(d) + f*m^2*n^2*log(c))*a*b^3 + (f*m^2*n^4*log(d)^2 + 2*f*m^2*n^3*log(c)*log(d) + f*m^2*n^2*log(c)^2)*b^4 + 2*(a*b^3*f*m^2*n^2 + (f*m^2*n^3*log(d) + f*m^2*n^2*log(c))*b^4)*log(((f*x + e)^m)^n)) + integrate(1/2/(b^3*m^2*n^2*log(((f*x + e)^m)^n) + a*b^2*m^2*n^2 + (m^2*n^3*log(d) + m^2*n^2*log(c))*b^3), x)","F",0
411,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^(5/2),x, algorithm=""maxima"")","\int {\left(b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^m*d)^n*c) + a)^(5/2), x)","F",0
412,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^(3/2),x, algorithm=""maxima"")","\int {\left(b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^m*d)^n*c) + a)^(3/2), x)","F",0
413,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*log(((f*x + e)^m*d)^n*c) + a), x)","F",0
414,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*log(((f*x + e)^m*d)^n*c) + a), x)","F",0
415,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^m*d)^n*c) + a)^(-3/2), x)","F",0
416,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^m*d)^n*c) + a)^(-5/2), x)","F",0
417,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^(7/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^m*d)^n*c) + a)^(-7/2), x)","F",0
418,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^p,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
419,1,70,0,0.625252," ","integrate((a+b*log(c*(d*(f*x+e)^(1/2))^(1/2)))^p,x, algorithm=""maxima"")","-\frac{4 \, {\left(b \log\left(\sqrt{\sqrt{f x + e} d} c\right) + a\right)}^{p + 1} e^{\left(-\frac{4 \, a}{b}\right)} E_{-p}\left(-\frac{4 \, {\left(b \log\left(\sqrt{\sqrt{f x + e} d} c\right) + a\right)}}{b}\right)}{b c^{4} d^{2} f}"," ",0,"-4*(b*log(sqrt(sqrt(f*x + e)*d)*c) + a)^(p + 1)*e^(-4*a/b)*exp_integral_e(-p, -4*(b*log(sqrt(sqrt(f*x + e)*d)*c) + a)/b)/(b*c^4*d^2*f)","A",0
420,1,304,0,0.528113," ","integrate((h*x+g)^3*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\frac{1}{4} \, b h^{3} x^{4} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{1}{4} \, a h^{3} x^{4} - b f g^{3} p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} - \frac{1}{48} \, b f h^{3} p q {\left(\frac{12 \, e^{4} \log\left(f x + e\right)}{f^{5}} + \frac{3 \, f^{3} x^{4} - 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2} - 12 \, e^{3} x}{f^{4}}\right)} + \frac{1}{6} \, b f g h^{2} p q {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{f^{3}}\right)} - \frac{3}{4} \, b f g^{2} h p q {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{f x^{2} - 2 \, e x}{f^{2}}\right)} + b g h^{2} x^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a g h^{2} x^{3} + \frac{3}{2} \, b g^{2} h x^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{3}{2} \, a g^{2} h x^{2} + b g^{3} x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a g^{3} x"," ",0,"1/4*b*h^3*x^4*log(((f*x + e)^p*d)^q*c) + 1/4*a*h^3*x^4 - b*f*g^3*p*q*(x/f - e*log(f*x + e)/f^2) - 1/48*b*f*h^3*p*q*(12*e^4*log(f*x + e)/f^5 + (3*f^3*x^4 - 4*e*f^2*x^3 + 6*e^2*f*x^2 - 12*e^3*x)/f^4) + 1/6*b*f*g*h^2*p*q*(6*e^3*log(f*x + e)/f^4 - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/f^3) - 3/4*b*f*g^2*h*p*q*(2*e^2*log(f*x + e)/f^3 + (f*x^2 - 2*e*x)/f^2) + b*g*h^2*x^3*log(((f*x + e)^p*d)^q*c) + a*g*h^2*x^3 + 3/2*b*g^2*h*x^2*log(((f*x + e)^p*d)^q*c) + 3/2*a*g^2*h*x^2 + b*g^3*x*log(((f*x + e)^p*d)^q*c) + a*g^3*x","B",0
421,1,202,0,0.529255," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","-b f g^{2} p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} + \frac{1}{18} \, b f h^{2} p q {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{f^{3}}\right)} - \frac{1}{2} \, b f g h p q {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{f x^{2} - 2 \, e x}{f^{2}}\right)} + \frac{1}{3} \, b h^{2} x^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{1}{3} \, a h^{2} x^{3} + b g h x^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a g h x^{2} + b g^{2} x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a g^{2} x"," ",0,"-b*f*g^2*p*q*(x/f - e*log(f*x + e)/f^2) + 1/18*b*f*h^2*p*q*(6*e^3*log(f*x + e)/f^4 - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/f^3) - 1/2*b*f*g*h*p*q*(2*e^2*log(f*x + e)/f^3 + (f*x^2 - 2*e*x)/f^2) + 1/3*b*h^2*x^3*log(((f*x + e)^p*d)^q*c) + 1/3*a*h^2*x^3 + b*g*h*x^2*log(((f*x + e)^p*d)^q*c) + a*g*h*x^2 + b*g^2*x*log(((f*x + e)^p*d)^q*c) + a*g^2*x","A",0
422,1,112,0,0.498298," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","-b f g p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} - \frac{1}{4} \, b f h p q {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{f x^{2} - 2 \, e x}{f^{2}}\right)} + \frac{1}{2} \, b h x^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{1}{2} \, a h x^{2} + b g x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a g x"," ",0,"-b*f*g*p*q*(x/f - e*log(f*x + e)/f^2) - 1/4*b*f*h*p*q*(2*e^2*log(f*x + e)/f^3 + (f*x^2 - 2*e*x)/f^2) + 1/2*b*h*x^2*log(((f*x + e)^p*d)^q*c) + 1/2*a*h*x^2 + b*g*x*log(((f*x + e)^p*d)^q*c) + a*g*x","A",0
423,1,45,0,0.464392," ","integrate(a+b*log(c*(d*(f*x+e)^p)^q),x, algorithm=""maxima"")","-b f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} + b x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a x"," ",0,"-b*f*p*q*(x/f - e*log(f*x + e)/f^2) + b*x*log(((f*x + e)^p*d)^q*c) + a*x","A",0
424,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g),x, algorithm=""maxima"")","b \int \frac{q \log\left(d\right) + \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + \log\left(c\right)}{h x + g}\,{d x} + \frac{a \log\left(h x + g\right)}{h}"," ",0,"b*integrate((q*log(d) + log(((f*x + e)^p)^q) + log(c))/(h*x + g), x) + a*log(h*x + g)/h","F",0
425,1,90,0,0.508846," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^2,x, algorithm=""maxima"")","b f p q {\left(\frac{\log\left(f x + e\right)}{f g h - e h^{2}} - \frac{\log\left(h x + g\right)}{f g h - e h^{2}}\right)} - \frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{h^{2} x + g h} - \frac{a}{h^{2} x + g h}"," ",0,"b*f*p*q*(log(f*x + e)/(f*g*h - e*h^2) - log(h*x + g)/(f*g*h - e*h^2)) - b*log(((f*x + e)^p*d)^q*c)/(h^2*x + g*h) - a/(h^2*x + g*h)","A",0
426,1,172,0,0.500849," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^3,x, algorithm=""maxima"")","\frac{1}{2} \, b f p q {\left(\frac{f \log\left(f x + e\right)}{f^{2} g^{2} h - 2 \, e f g h^{2} + e^{2} h^{3}} - \frac{f \log\left(h x + g\right)}{f^{2} g^{2} h - 2 \, e f g h^{2} + e^{2} h^{3}} + \frac{1}{f g^{2} h - e g h^{2} + {\left(f g h^{2} - e h^{3}\right)} x}\right)} - \frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{2 \, {\left(h^{3} x^{2} + 2 \, g h^{2} x + g^{2} h\right)}} - \frac{a}{2 \, {\left(h^{3} x^{2} + 2 \, g h^{2} x + g^{2} h\right)}}"," ",0,"1/2*b*f*p*q*(f*log(f*x + e)/(f^2*g^2*h - 2*e*f*g*h^2 + e^2*h^3) - f*log(h*x + g)/(f^2*g^2*h - 2*e*f*g*h^2 + e^2*h^3) + 1/(f*g^2*h - e*g*h^2 + (f*g*h^2 - e*h^3)*x)) - 1/2*b*log(((f*x + e)^p*d)^q*c)/(h^3*x^2 + 2*g*h^2*x + g^2*h) - 1/2*a/(h^3*x^2 + 2*g*h^2*x + g^2*h)","A",0
427,1,306,0,0.528804," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^4,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(\frac{2 \, f^{2} \log\left(f x + e\right)}{f^{3} g^{3} h - 3 \, e f^{2} g^{2} h^{2} + 3 \, e^{2} f g h^{3} - e^{3} h^{4}} - \frac{2 \, f^{2} \log\left(h x + g\right)}{f^{3} g^{3} h - 3 \, e f^{2} g^{2} h^{2} + 3 \, e^{2} f g h^{3} - e^{3} h^{4}} + \frac{2 \, f h x + 3 \, f g - e h}{f^{2} g^{4} h - 2 \, e f g^{3} h^{2} + e^{2} g^{2} h^{3} + {\left(f^{2} g^{2} h^{3} - 2 \, e f g h^{4} + e^{2} h^{5}\right)} x^{2} + 2 \, {\left(f^{2} g^{3} h^{2} - 2 \, e f g^{2} h^{3} + e^{2} g h^{4}\right)} x}\right)} b f p q - \frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{3 \, {\left(h^{4} x^{3} + 3 \, g h^{3} x^{2} + 3 \, g^{2} h^{2} x + g^{3} h\right)}} - \frac{a}{3 \, {\left(h^{4} x^{3} + 3 \, g h^{3} x^{2} + 3 \, g^{2} h^{2} x + g^{3} h\right)}}"," ",0,"1/6*(2*f^2*log(f*x + e)/(f^3*g^3*h - 3*e*f^2*g^2*h^2 + 3*e^2*f*g*h^3 - e^3*h^4) - 2*f^2*log(h*x + g)/(f^3*g^3*h - 3*e*f^2*g^2*h^2 + 3*e^2*f*g*h^3 - e^3*h^4) + (2*f*h*x + 3*f*g - e*h)/(f^2*g^4*h - 2*e*f*g^3*h^2 + e^2*g^2*h^3 + (f^2*g^2*h^3 - 2*e*f*g*h^4 + e^2*h^5)*x^2 + 2*(f^2*g^3*h^2 - 2*e*f*g^2*h^3 + e^2*g*h^4)*x))*b*f*p*q - 1/3*b*log(((f*x + e)^p*d)^q*c)/(h^4*x^3 + 3*g*h^3*x^2 + 3*g^2*h^2*x + g^3*h) - 1/3*a/(h^4*x^3 + 3*g*h^3*x^2 + 3*g^2*h^2*x + g^3*h)","B",0
428,1,895,0,0.692364," ","integrate((h*x+g)^3*(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","\frac{1}{4} \, b^{2} h^{3} x^{4} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + \frac{1}{2} \, a b h^{3} x^{4} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + b^{2} g h^{2} x^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + \frac{1}{4} \, a^{2} h^{3} x^{4} - 2 \, a b f g^{3} p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} - \frac{1}{24} \, a b f h^{3} p q {\left(\frac{12 \, e^{4} \log\left(f x + e\right)}{f^{5}} + \frac{3 \, f^{3} x^{4} - 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2} - 12 \, e^{3} x}{f^{4}}\right)} + \frac{1}{3} \, a b f g h^{2} p q {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{f^{3}}\right)} - \frac{3}{2} \, a b f g^{2} h p q {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{f x^{2} - 2 \, e x}{f^{2}}\right)} + 2 \, a b g h^{2} x^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{3}{2} \, b^{2} g^{2} h x^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + a^{2} g h^{2} x^{3} + 3 \, a b g^{2} h x^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + b^{2} g^{3} x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + \frac{3}{2} \, a^{2} g^{2} h x^{2} + 2 \, a b g^{3} x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) - {\left(2 \, f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{{\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} p^{2} q^{2}}{f}\right)} b^{2} g^{3} - \frac{3}{4} \, {\left(2 \, f p q {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{f x^{2} - 2 \, e x}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) - \frac{{\left(f^{2} x^{2} + 2 \, e^{2} \log\left(f x + e\right)^{2} - 6 \, e f x + 6 \, e^{2} \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{2}}\right)} b^{2} g^{2} h + \frac{1}{18} \, {\left(6 \, f p q {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{f^{3}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{{\left(4 \, f^{3} x^{3} - 15 \, e f^{2} x^{2} - 18 \, e^{3} \log\left(f x + e\right)^{2} + 66 \, e^{2} f x - 66 \, e^{3} \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{3}}\right)} b^{2} g h^{2} - \frac{1}{288} \, {\left(12 \, f p q {\left(\frac{12 \, e^{4} \log\left(f x + e\right)}{f^{5}} + \frac{3 \, f^{3} x^{4} - 4 \, e f^{2} x^{3} + 6 \, e^{2} f x^{2} - 12 \, e^{3} x}{f^{4}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) - \frac{{\left(9 \, f^{4} x^{4} - 28 \, e f^{3} x^{3} + 78 \, e^{2} f^{2} x^{2} + 72 \, e^{4} \log\left(f x + e\right)^{2} - 300 \, e^{3} f x + 300 \, e^{4} \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{4}}\right)} b^{2} h^{3} + a^{2} g^{3} x"," ",0,"1/4*b^2*h^3*x^4*log(((f*x + e)^p*d)^q*c)^2 + 1/2*a*b*h^3*x^4*log(((f*x + e)^p*d)^q*c) + b^2*g*h^2*x^3*log(((f*x + e)^p*d)^q*c)^2 + 1/4*a^2*h^3*x^4 - 2*a*b*f*g^3*p*q*(x/f - e*log(f*x + e)/f^2) - 1/24*a*b*f*h^3*p*q*(12*e^4*log(f*x + e)/f^5 + (3*f^3*x^4 - 4*e*f^2*x^3 + 6*e^2*f*x^2 - 12*e^3*x)/f^4) + 1/3*a*b*f*g*h^2*p*q*(6*e^3*log(f*x + e)/f^4 - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/f^3) - 3/2*a*b*f*g^2*h*p*q*(2*e^2*log(f*x + e)/f^3 + (f*x^2 - 2*e*x)/f^2) + 2*a*b*g*h^2*x^3*log(((f*x + e)^p*d)^q*c) + 3/2*b^2*g^2*h*x^2*log(((f*x + e)^p*d)^q*c)^2 + a^2*g*h^2*x^3 + 3*a*b*g^2*h*x^2*log(((f*x + e)^p*d)^q*c) + b^2*g^3*x*log(((f*x + e)^p*d)^q*c)^2 + 3/2*a^2*g^2*h*x^2 + 2*a*b*g^3*x*log(((f*x + e)^p*d)^q*c) - (2*f*p*q*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^p*d)^q*c) + (e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*p^2*q^2/f)*b^2*g^3 - 3/4*(2*f*p*q*(2*e^2*log(f*x + e)/f^3 + (f*x^2 - 2*e*x)/f^2)*log(((f*x + e)^p*d)^q*c) - (f^2*x^2 + 2*e^2*log(f*x + e)^2 - 6*e*f*x + 6*e^2*log(f*x + e))*p^2*q^2/f^2)*b^2*g^2*h + 1/18*(6*f*p*q*(6*e^3*log(f*x + e)/f^4 - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/f^3)*log(((f*x + e)^p*d)^q*c) + (4*f^3*x^3 - 15*e*f^2*x^2 - 18*e^3*log(f*x + e)^2 + 66*e^2*f*x - 66*e^3*log(f*x + e))*p^2*q^2/f^3)*b^2*g*h^2 - 1/288*(12*f*p*q*(12*e^4*log(f*x + e)/f^5 + (3*f^3*x^4 - 4*e*f^2*x^3 + 6*e^2*f*x^2 - 12*e^3*x)/f^4)*log(((f*x + e)^p*d)^q*c) - (9*f^4*x^4 - 28*e*f^3*x^3 + 78*e^2*f^2*x^2 + 72*e^4*log(f*x + e)^2 - 300*e^3*f*x + 300*e^4*log(f*x + e))*p^2*q^2/f^4)*b^2*h^3 + a^2*g^3*x","B",0
429,1,605,0,0.622458," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} h^{2} x^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} - 2 \, a b f g^{2} p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} + \frac{1}{9} \, a b f h^{2} p q {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{f^{3}}\right)} - a b f g h p q {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{f x^{2} - 2 \, e x}{f^{2}}\right)} + \frac{2}{3} \, a b h^{2} x^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + b^{2} g h x^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + \frac{1}{3} \, a^{2} h^{2} x^{3} + 2 \, a b g h x^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + b^{2} g^{2} x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + a^{2} g h x^{2} + 2 \, a b g^{2} x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) - {\left(2 \, f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{{\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} p^{2} q^{2}}{f}\right)} b^{2} g^{2} - \frac{1}{2} \, {\left(2 \, f p q {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{f x^{2} - 2 \, e x}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) - \frac{{\left(f^{2} x^{2} + 2 \, e^{2} \log\left(f x + e\right)^{2} - 6 \, e f x + 6 \, e^{2} \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{2}}\right)} b^{2} g h + \frac{1}{54} \, {\left(6 \, f p q {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{f^{3}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{{\left(4 \, f^{3} x^{3} - 15 \, e f^{2} x^{2} - 18 \, e^{3} \log\left(f x + e\right)^{2} + 66 \, e^{2} f x - 66 \, e^{3} \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{3}}\right)} b^{2} h^{2} + a^{2} g^{2} x"," ",0,"1/3*b^2*h^2*x^3*log(((f*x + e)^p*d)^q*c)^2 - 2*a*b*f*g^2*p*q*(x/f - e*log(f*x + e)/f^2) + 1/9*a*b*f*h^2*p*q*(6*e^3*log(f*x + e)/f^4 - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/f^3) - a*b*f*g*h*p*q*(2*e^2*log(f*x + e)/f^3 + (f*x^2 - 2*e*x)/f^2) + 2/3*a*b*h^2*x^3*log(((f*x + e)^p*d)^q*c) + b^2*g*h*x^2*log(((f*x + e)^p*d)^q*c)^2 + 1/3*a^2*h^2*x^3 + 2*a*b*g*h*x^2*log(((f*x + e)^p*d)^q*c) + b^2*g^2*x*log(((f*x + e)^p*d)^q*c)^2 + a^2*g*h*x^2 + 2*a*b*g^2*x*log(((f*x + e)^p*d)^q*c) - (2*f*p*q*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^p*d)^q*c) + (e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*p^2*q^2/f)*b^2*g^2 - 1/2*(2*f*p*q*(2*e^2*log(f*x + e)/f^3 + (f*x^2 - 2*e*x)/f^2)*log(((f*x + e)^p*d)^q*c) - (f^2*x^2 + 2*e^2*log(f*x + e)^2 - 6*e*f*x + 6*e^2*log(f*x + e))*p^2*q^2/f^2)*b^2*g*h + 1/54*(6*f*p*q*(6*e^3*log(f*x + e)/f^4 - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/f^3)*log(((f*x + e)^p*d)^q*c) + (4*f^3*x^3 - 15*e*f^2*x^2 - 18*e^3*log(f*x + e)^2 + 66*e^2*f*x - 66*e^3*log(f*x + e))*p^2*q^2/f^3)*b^2*h^2 + a^2*g^2*x","A",0
430,1,348,0,0.579900," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","-2 \, a b f g p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} - \frac{1}{2} \, a b f h p q {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{f x^{2} - 2 \, e x}{f^{2}}\right)} + \frac{1}{2} \, b^{2} h x^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + a b h x^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + b^{2} g x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + \frac{1}{2} \, a^{2} h x^{2} + 2 \, a b g x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) - {\left(2 \, f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{{\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} p^{2} q^{2}}{f}\right)} b^{2} g - \frac{1}{4} \, {\left(2 \, f p q {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{f x^{2} - 2 \, e x}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) - \frac{{\left(f^{2} x^{2} + 2 \, e^{2} \log\left(f x + e\right)^{2} - 6 \, e f x + 6 \, e^{2} \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{2}}\right)} b^{2} h + a^{2} g x"," ",0,"-2*a*b*f*g*p*q*(x/f - e*log(f*x + e)/f^2) - 1/2*a*b*f*h*p*q*(2*e^2*log(f*x + e)/f^3 + (f*x^2 - 2*e*x)/f^2) + 1/2*b^2*h*x^2*log(((f*x + e)^p*d)^q*c)^2 + a*b*h*x^2*log(((f*x + e)^p*d)^q*c) + b^2*g*x*log(((f*x + e)^p*d)^q*c)^2 + 1/2*a^2*h*x^2 + 2*a*b*g*x*log(((f*x + e)^p*d)^q*c) - (2*f*p*q*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^p*d)^q*c) + (e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*p^2*q^2/f)*b^2*g - 1/4*(2*f*p*q*(2*e^2*log(f*x + e)/f^3 + (f*x^2 - 2*e*x)/f^2)*log(((f*x + e)^p*d)^q*c) - (f^2*x^2 + 2*e^2*log(f*x + e)^2 - 6*e*f*x + 6*e^2*log(f*x + e))*p^2*q^2/f^2)*b^2*h + a^2*g*x","A",0
431,1,148,0,0.528336," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","-2 \, a b f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} + b^{2} x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 2 \, a b x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) - {\left(2 \, f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{{\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} p^{2} q^{2}}{f}\right)} b^{2} + a^{2} x"," ",0,"-2*a*b*f*p*q*(x/f - e*log(f*x + e)/f^2) + b^2*x*log(((f*x + e)^p*d)^q*c)^2 + 2*a*b*x*log(((f*x + e)^p*d)^q*c) - (2*f*p*q*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^p*d)^q*c) + (e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*p^2*q^2/f)*b^2 + a^2*x","A",0
432,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g),x, algorithm=""maxima"")","\frac{a^{2} \log\left(h x + g\right)}{h} + \int \frac{b^{2} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + 2 \, {\left(q \log\left(d\right) + \log\left(c\right)\right)} a b + {\left(q^{2} \log\left(d\right)^{2} + 2 \, q \log\left(c\right) \log\left(d\right) + \log\left(c\right)^{2}\right)} b^{2} + 2 \, {\left({\left(q \log\left(d\right) + \log\left(c\right)\right)} b^{2} + a b\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h x + g}\,{d x}"," ",0,"a^2*log(h*x + g)/h + integrate((b^2*log(((f*x + e)^p)^q)^2 + 2*(q*log(d) + log(c))*a*b + (q^2*log(d)^2 + 2*q*log(c)*log(d) + log(c)^2)*b^2 + 2*((q*log(d) + log(c))*b^2 + a*b)*log(((f*x + e)^p)^q))/(h*x + g), x)","F",0
433,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^2,x, algorithm=""maxima"")","2 \, a b f p q {\left(\frac{\log\left(f x + e\right)}{f g h - e h^{2}} - \frac{\log\left(h x + g\right)}{f g h - e h^{2}}\right)} - b^{2} {\left(\frac{\log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2}}{h^{2} x + g h} - \int \frac{e h q^{2} \log\left(d\right)^{2} + 2 \, e h q \log\left(c\right) \log\left(d\right) + e h \log\left(c\right)^{2} + {\left(f h q^{2} \log\left(d\right)^{2} + 2 \, f h q \log\left(c\right) \log\left(d\right) + f h \log\left(c\right)^{2}\right)} x + 2 \, {\left(f g p q + e h q \log\left(d\right) + e h \log\left(c\right) + {\left(f h p q + f h q \log\left(d\right) + f h \log\left(c\right)\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{f h^{3} x^{3} + e g^{2} h + {\left(2 \, f g h^{2} + e h^{3}\right)} x^{2} + {\left(f g^{2} h + 2 \, e g h^{2}\right)} x}\,{d x}\right)} - \frac{2 \, a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{h^{2} x + g h} - \frac{a^{2}}{h^{2} x + g h}"," ",0,"2*a*b*f*p*q*(log(f*x + e)/(f*g*h - e*h^2) - log(h*x + g)/(f*g*h - e*h^2)) - b^2*(log(((f*x + e)^p)^q)^2/(h^2*x + g*h) - integrate((e*h*q^2*log(d)^2 + 2*e*h*q*log(c)*log(d) + e*h*log(c)^2 + (f*h*q^2*log(d)^2 + 2*f*h*q*log(c)*log(d) + f*h*log(c)^2)*x + 2*(f*g*p*q + e*h*q*log(d) + e*h*log(c) + (f*h*p*q + f*h*q*log(d) + f*h*log(c))*x)*log(((f*x + e)^p)^q))/(f*h^3*x^3 + e*g^2*h + (2*f*g*h^2 + e*h^3)*x^2 + (f*g^2*h + 2*e*g*h^2)*x), x)) - 2*a*b*log(((f*x + e)^p*d)^q*c)/(h^2*x + g*h) - a^2/(h^2*x + g*h)","F",0
434,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^3,x, algorithm=""maxima"")","a b f p q {\left(\frac{f \log\left(f x + e\right)}{f^{2} g^{2} h - 2 \, e f g h^{2} + e^{2} h^{3}} - \frac{f \log\left(h x + g\right)}{f^{2} g^{2} h - 2 \, e f g h^{2} + e^{2} h^{3}} + \frac{1}{f g^{2} h - e g h^{2} + {\left(f g h^{2} - e h^{3}\right)} x}\right)} - \frac{1}{2} \, b^{2} {\left(\frac{\log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2}}{h^{3} x^{2} + 2 \, g h^{2} x + g^{2} h} - 2 \, \int \frac{e h q^{2} \log\left(d\right)^{2} + 2 \, e h q \log\left(c\right) \log\left(d\right) + e h \log\left(c\right)^{2} + {\left(f h q^{2} \log\left(d\right)^{2} + 2 \, f h q \log\left(c\right) \log\left(d\right) + f h \log\left(c\right)^{2}\right)} x + {\left(f g p q + 2 \, e h q \log\left(d\right) + 2 \, e h \log\left(c\right) + {\left(f h p q + 2 \, f h q \log\left(d\right) + 2 \, f h \log\left(c\right)\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{f h^{4} x^{4} + e g^{3} h + {\left(3 \, f g h^{3} + e h^{4}\right)} x^{3} + 3 \, {\left(f g^{2} h^{2} + e g h^{3}\right)} x^{2} + {\left(f g^{3} h + 3 \, e g^{2} h^{2}\right)} x}\,{d x}\right)} - \frac{a b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{h^{3} x^{2} + 2 \, g h^{2} x + g^{2} h} - \frac{a^{2}}{2 \, {\left(h^{3} x^{2} + 2 \, g h^{2} x + g^{2} h\right)}}"," ",0,"a*b*f*p*q*(f*log(f*x + e)/(f^2*g^2*h - 2*e*f*g*h^2 + e^2*h^3) - f*log(h*x + g)/(f^2*g^2*h - 2*e*f*g*h^2 + e^2*h^3) + 1/(f*g^2*h - e*g*h^2 + (f*g*h^2 - e*h^3)*x)) - 1/2*b^2*(log(((f*x + e)^p)^q)^2/(h^3*x^2 + 2*g*h^2*x + g^2*h) - 2*integrate((e*h*q^2*log(d)^2 + 2*e*h*q*log(c)*log(d) + e*h*log(c)^2 + (f*h*q^2*log(d)^2 + 2*f*h*q*log(c)*log(d) + f*h*log(c)^2)*x + (f*g*p*q + 2*e*h*q*log(d) + 2*e*h*log(c) + (f*h*p*q + 2*f*h*q*log(d) + 2*f*h*log(c))*x)*log(((f*x + e)^p)^q))/(f*h^4*x^4 + e*g^3*h + (3*f*g*h^3 + e*h^4)*x^3 + 3*(f*g^2*h^2 + e*g*h^3)*x^2 + (f*g^3*h + 3*e*g^2*h^2)*x), x)) - a*b*log(((f*x + e)^p*d)^q*c)/(h^3*x^2 + 2*g*h^2*x + g^2*h) - 1/2*a^2/(h^3*x^2 + 2*g*h^2*x + g^2*h)","F",0
435,1,1245,0,0.790601," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""maxima"")","\frac{1}{3} \, b^{3} h^{2} x^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + a b^{2} h^{2} x^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + b^{3} g h x^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} - 3 \, a^{2} b f g^{2} p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} + \frac{1}{6} \, a^{2} b f h^{2} p q {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{f^{3}}\right)} - \frac{3}{2} \, a^{2} b f g h p q {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{f x^{2} - 2 \, e x}{f^{2}}\right)} + a^{2} b h^{2} x^{3} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + 3 \, a b^{2} g h x^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + b^{3} g^{2} x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + \frac{1}{3} \, a^{3} h^{2} x^{3} + 3 \, a^{2} b g h x^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + 3 \, a b^{2} g^{2} x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + a^{3} g h x^{2} + 3 \, a^{2} b g^{2} x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) - 3 \, {\left(2 \, f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{{\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} p^{2} q^{2}}{f}\right)} a b^{2} g^{2} - {\left(3 \, f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} - {\left(\frac{{\left(e \log\left(f x + e\right)^{3} + 3 \, e \log\left(f x + e\right)^{2} - 6 \, f x + 6 \, e \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{2}} - \frac{3 \, {\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} p q \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{f^{2}}\right)} f p q\right)} b^{3} g^{2} - \frac{3}{2} \, {\left(2 \, f p q {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{f x^{2} - 2 \, e x}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) - \frac{{\left(f^{2} x^{2} + 2 \, e^{2} \log\left(f x + e\right)^{2} - 6 \, e f x + 6 \, e^{2} \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{2}}\right)} a b^{2} g h - \frac{1}{4} \, {\left(6 \, f p q {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{f x^{2} - 2 \, e x}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + {\left(\frac{{\left(4 \, e^{2} \log\left(f x + e\right)^{3} + 3 \, f^{2} x^{2} + 18 \, e^{2} \log\left(f x + e\right)^{2} - 42 \, e f x + 42 \, e^{2} \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{3}} - \frac{6 \, {\left(f^{2} x^{2} + 2 \, e^{2} \log\left(f x + e\right)^{2} - 6 \, e f x + 6 \, e^{2} \log\left(f x + e\right)\right)} p q \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{f^{3}}\right)} f p q\right)} b^{3} g h + \frac{1}{18} \, {\left(6 \, f p q {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{f^{3}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{{\left(4 \, f^{3} x^{3} - 15 \, e f^{2} x^{2} - 18 \, e^{3} \log\left(f x + e\right)^{2} + 66 \, e^{2} f x - 66 \, e^{3} \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{3}}\right)} a b^{2} h^{2} + \frac{1}{108} \, {\left(18 \, f p q {\left(\frac{6 \, e^{3} \log\left(f x + e\right)}{f^{4}} - \frac{2 \, f^{2} x^{3} - 3 \, e f x^{2} + 6 \, e^{2} x}{f^{3}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} - f p q {\left(\frac{{\left(8 \, f^{3} x^{3} - 36 \, e^{3} \log\left(f x + e\right)^{3} - 57 \, e f^{2} x^{2} - 198 \, e^{3} \log\left(f x + e\right)^{2} + 510 \, e^{2} f x - 510 \, e^{3} \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{4}} - \frac{6 \, {\left(4 \, f^{3} x^{3} - 15 \, e f^{2} x^{2} - 18 \, e^{3} \log\left(f x + e\right)^{2} + 66 \, e^{2} f x - 66 \, e^{3} \log\left(f x + e\right)\right)} p q \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{f^{4}}\right)}\right)} b^{3} h^{2} + a^{3} g^{2} x"," ",0,"1/3*b^3*h^2*x^3*log(((f*x + e)^p*d)^q*c)^3 + a*b^2*h^2*x^3*log(((f*x + e)^p*d)^q*c)^2 + b^3*g*h*x^2*log(((f*x + e)^p*d)^q*c)^3 - 3*a^2*b*f*g^2*p*q*(x/f - e*log(f*x + e)/f^2) + 1/6*a^2*b*f*h^2*p*q*(6*e^3*log(f*x + e)/f^4 - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/f^3) - 3/2*a^2*b*f*g*h*p*q*(2*e^2*log(f*x + e)/f^3 + (f*x^2 - 2*e*x)/f^2) + a^2*b*h^2*x^3*log(((f*x + e)^p*d)^q*c) + 3*a*b^2*g*h*x^2*log(((f*x + e)^p*d)^q*c)^2 + b^3*g^2*x*log(((f*x + e)^p*d)^q*c)^3 + 1/3*a^3*h^2*x^3 + 3*a^2*b*g*h*x^2*log(((f*x + e)^p*d)^q*c) + 3*a*b^2*g^2*x*log(((f*x + e)^p*d)^q*c)^2 + a^3*g*h*x^2 + 3*a^2*b*g^2*x*log(((f*x + e)^p*d)^q*c) - 3*(2*f*p*q*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^p*d)^q*c) + (e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*p^2*q^2/f)*a*b^2*g^2 - (3*f*p*q*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^p*d)^q*c)^2 - ((e*log(f*x + e)^3 + 3*e*log(f*x + e)^2 - 6*f*x + 6*e*log(f*x + e))*p^2*q^2/f^2 - 3*(e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*p*q*log(((f*x + e)^p*d)^q*c)/f^2)*f*p*q)*b^3*g^2 - 3/2*(2*f*p*q*(2*e^2*log(f*x + e)/f^3 + (f*x^2 - 2*e*x)/f^2)*log(((f*x + e)^p*d)^q*c) - (f^2*x^2 + 2*e^2*log(f*x + e)^2 - 6*e*f*x + 6*e^2*log(f*x + e))*p^2*q^2/f^2)*a*b^2*g*h - 1/4*(6*f*p*q*(2*e^2*log(f*x + e)/f^3 + (f*x^2 - 2*e*x)/f^2)*log(((f*x + e)^p*d)^q*c)^2 + ((4*e^2*log(f*x + e)^3 + 3*f^2*x^2 + 18*e^2*log(f*x + e)^2 - 42*e*f*x + 42*e^2*log(f*x + e))*p^2*q^2/f^3 - 6*(f^2*x^2 + 2*e^2*log(f*x + e)^2 - 6*e*f*x + 6*e^2*log(f*x + e))*p*q*log(((f*x + e)^p*d)^q*c)/f^3)*f*p*q)*b^3*g*h + 1/18*(6*f*p*q*(6*e^3*log(f*x + e)/f^4 - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/f^3)*log(((f*x + e)^p*d)^q*c) + (4*f^3*x^3 - 15*e*f^2*x^2 - 18*e^3*log(f*x + e)^2 + 66*e^2*f*x - 66*e^3*log(f*x + e))*p^2*q^2/f^3)*a*b^2*h^2 + 1/108*(18*f*p*q*(6*e^3*log(f*x + e)/f^4 - (2*f^2*x^3 - 3*e*f*x^2 + 6*e^2*x)/f^3)*log(((f*x + e)^p*d)^q*c)^2 - f*p*q*((8*f^3*x^3 - 36*e^3*log(f*x + e)^3 - 57*e*f^2*x^2 - 198*e^3*log(f*x + e)^2 + 510*e^2*f*x - 510*e^3*log(f*x + e))*p^2*q^2/f^4 - 6*(4*f^3*x^3 - 15*e*f^2*x^2 - 18*e^3*log(f*x + e)^2 + 66*e^2*f*x - 66*e^3*log(f*x + e))*p*q*log(((f*x + e)^p*d)^q*c)/f^4))*b^3*h^2 + a^3*g^2*x","B",0
436,1,732,0,0.685032," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""maxima"")","\frac{1}{2} \, b^{3} h x^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} - 3 \, a^{2} b f g p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} - \frac{3}{4} \, a^{2} b f h p q {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{f x^{2} - 2 \, e x}{f^{2}}\right)} + \frac{3}{2} \, a b^{2} h x^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + b^{3} g x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + \frac{3}{2} \, a^{2} b h x^{2} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + 3 \, a b^{2} g x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + \frac{1}{2} \, a^{3} h x^{2} + 3 \, a^{2} b g x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) - 3 \, {\left(2 \, f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{{\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} p^{2} q^{2}}{f}\right)} a b^{2} g - {\left(3 \, f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} - {\left(\frac{{\left(e \log\left(f x + e\right)^{3} + 3 \, e \log\left(f x + e\right)^{2} - 6 \, f x + 6 \, e \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{2}} - \frac{3 \, {\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} p q \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{f^{2}}\right)} f p q\right)} b^{3} g - \frac{3}{4} \, {\left(2 \, f p q {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{f x^{2} - 2 \, e x}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) - \frac{{\left(f^{2} x^{2} + 2 \, e^{2} \log\left(f x + e\right)^{2} - 6 \, e f x + 6 \, e^{2} \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{2}}\right)} a b^{2} h - \frac{1}{8} \, {\left(6 \, f p q {\left(\frac{2 \, e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{f x^{2} - 2 \, e x}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + {\left(\frac{{\left(4 \, e^{2} \log\left(f x + e\right)^{3} + 3 \, f^{2} x^{2} + 18 \, e^{2} \log\left(f x + e\right)^{2} - 42 \, e f x + 42 \, e^{2} \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{3}} - \frac{6 \, {\left(f^{2} x^{2} + 2 \, e^{2} \log\left(f x + e\right)^{2} - 6 \, e f x + 6 \, e^{2} \log\left(f x + e\right)\right)} p q \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{f^{3}}\right)} f p q\right)} b^{3} h + a^{3} g x"," ",0,"1/2*b^3*h*x^2*log(((f*x + e)^p*d)^q*c)^3 - 3*a^2*b*f*g*p*q*(x/f - e*log(f*x + e)/f^2) - 3/4*a^2*b*f*h*p*q*(2*e^2*log(f*x + e)/f^3 + (f*x^2 - 2*e*x)/f^2) + 3/2*a*b^2*h*x^2*log(((f*x + e)^p*d)^q*c)^2 + b^3*g*x*log(((f*x + e)^p*d)^q*c)^3 + 3/2*a^2*b*h*x^2*log(((f*x + e)^p*d)^q*c) + 3*a*b^2*g*x*log(((f*x + e)^p*d)^q*c)^2 + 1/2*a^3*h*x^2 + 3*a^2*b*g*x*log(((f*x + e)^p*d)^q*c) - 3*(2*f*p*q*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^p*d)^q*c) + (e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*p^2*q^2/f)*a*b^2*g - (3*f*p*q*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^p*d)^q*c)^2 - ((e*log(f*x + e)^3 + 3*e*log(f*x + e)^2 - 6*f*x + 6*e*log(f*x + e))*p^2*q^2/f^2 - 3*(e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*p*q*log(((f*x + e)^p*d)^q*c)/f^2)*f*p*q)*b^3*g - 3/4*(2*f*p*q*(2*e^2*log(f*x + e)/f^3 + (f*x^2 - 2*e*x)/f^2)*log(((f*x + e)^p*d)^q*c) - (f^2*x^2 + 2*e^2*log(f*x + e)^2 - 6*e*f*x + 6*e^2*log(f*x + e))*p^2*q^2/f^2)*a*b^2*h - 1/8*(6*f*p*q*(2*e^2*log(f*x + e)/f^3 + (f*x^2 - 2*e*x)/f^2)*log(((f*x + e)^p*d)^q*c)^2 + ((4*e^2*log(f*x + e)^3 + 3*f^2*x^2 + 18*e^2*log(f*x + e)^2 - 42*e*f*x + 42*e^2*log(f*x + e))*p^2*q^2/f^3 - 6*(f^2*x^2 + 2*e^2*log(f*x + e)^2 - 6*e*f*x + 6*e^2*log(f*x + e))*p*q*log(((f*x + e)^p*d)^q*c)/f^3)*f*p*q)*b^3*h + a^3*g*x","B",0
437,1,317,0,0.805363," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""maxima"")","-3 \, a^{2} b f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} + b^{3} x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + 3 \, a b^{2} x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 3 \, a^{2} b x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) - 3 \, {\left(2 \, f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{{\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} p^{2} q^{2}}{f}\right)} a b^{2} - {\left(3 \, f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} - {\left(\frac{{\left(e \log\left(f x + e\right)^{3} + 3 \, e \log\left(f x + e\right)^{2} - 6 \, f x + 6 \, e \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{2}} - \frac{3 \, {\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} p q \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{f^{2}}\right)} f p q\right)} b^{3} + a^{3} x"," ",0,"-3*a^2*b*f*p*q*(x/f - e*log(f*x + e)/f^2) + b^3*x*log(((f*x + e)^p*d)^q*c)^3 + 3*a*b^2*x*log(((f*x + e)^p*d)^q*c)^2 + 3*a^2*b*x*log(((f*x + e)^p*d)^q*c) - 3*(2*f*p*q*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^p*d)^q*c) + (e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*p^2*q^2/f)*a*b^2 - (3*f*p*q*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^p*d)^q*c)^2 - ((e*log(f*x + e)^3 + 3*e*log(f*x + e)^2 - 6*f*x + 6*e*log(f*x + e))*p^2*q^2/f^2 - 3*(e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*p*q*log(((f*x + e)^p*d)^q*c)/f^2)*f*p*q)*b^3 + a^3*x","B",0
438,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g),x, algorithm=""maxima"")","\frac{a^{3} \log\left(h x + g\right)}{h} + \int \frac{b^{3} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{3} + 3 \, {\left(q \log\left(d\right) + \log\left(c\right)\right)} a^{2} b + 3 \, {\left(q^{2} \log\left(d\right)^{2} + 2 \, q \log\left(c\right) \log\left(d\right) + \log\left(c\right)^{2}\right)} a b^{2} + {\left(q^{3} \log\left(d\right)^{3} + 3 \, q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, q \log\left(c\right)^{2} \log\left(d\right) + \log\left(c\right)^{3}\right)} b^{3} + 3 \, {\left({\left(q \log\left(d\right) + \log\left(c\right)\right)} b^{3} + a b^{2}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + 3 \, {\left(2 \, {\left(q \log\left(d\right) + \log\left(c\right)\right)} a b^{2} + {\left(q^{2} \log\left(d\right)^{2} + 2 \, q \log\left(c\right) \log\left(d\right) + \log\left(c\right)^{2}\right)} b^{3} + a^{2} b\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h x + g}\,{d x}"," ",0,"a^3*log(h*x + g)/h + integrate((b^3*log(((f*x + e)^p)^q)^3 + 3*(q*log(d) + log(c))*a^2*b + 3*(q^2*log(d)^2 + 2*q*log(c)*log(d) + log(c)^2)*a*b^2 + (q^3*log(d)^3 + 3*q^2*log(c)*log(d)^2 + 3*q*log(c)^2*log(d) + log(c)^3)*b^3 + 3*((q*log(d) + log(c))*b^3 + a*b^2)*log(((f*x + e)^p)^q)^2 + 3*(2*(q*log(d) + log(c))*a*b^2 + (q^2*log(d)^2 + 2*q*log(c)*log(d) + log(c)^2)*b^3 + a^2*b)*log(((f*x + e)^p)^q))/(h*x + g), x)","F",0
439,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g)^2,x, algorithm=""maxima"")","3 \, a^{2} b f p q {\left(\frac{\log\left(f x + e\right)}{f g h - e h^{2}} - \frac{\log\left(h x + g\right)}{f g h - e h^{2}}\right)} - \frac{b^{3} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{3}}{h^{2} x + g h} - \frac{3 \, a^{2} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{h^{2} x + g h} - \frac{a^{3}}{h^{2} x + g h} + \int \frac{3 \, {\left(e h q^{2} \log\left(d\right)^{2} + 2 \, e h q \log\left(c\right) \log\left(d\right) + e h \log\left(c\right)^{2}\right)} a b^{2} + {\left(e h q^{3} \log\left(d\right)^{3} + 3 \, e h q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, e h q \log\left(c\right)^{2} \log\left(d\right) + e h \log\left(c\right)^{3}\right)} b^{3} + 3 \, {\left(a b^{2} e h + {\left(f g p q + e h q \log\left(d\right) + e h \log\left(c\right)\right)} b^{3} + {\left(a b^{2} f h + {\left(f h p q + f h q \log\left(d\right) + f h \log\left(c\right)\right)} b^{3}\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + {\left(3 \, {\left(f h q^{2} \log\left(d\right)^{2} + 2 \, f h q \log\left(c\right) \log\left(d\right) + f h \log\left(c\right)^{2}\right)} a b^{2} + {\left(f h q^{3} \log\left(d\right)^{3} + 3 \, f h q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, f h q \log\left(c\right)^{2} \log\left(d\right) + f h \log\left(c\right)^{3}\right)} b^{3}\right)} x + 3 \, {\left(2 \, {\left(e h q \log\left(d\right) + e h \log\left(c\right)\right)} a b^{2} + {\left(e h q^{2} \log\left(d\right)^{2} + 2 \, e h q \log\left(c\right) \log\left(d\right) + e h \log\left(c\right)^{2}\right)} b^{3} + {\left(2 \, {\left(f h q \log\left(d\right) + f h \log\left(c\right)\right)} a b^{2} + {\left(f h q^{2} \log\left(d\right)^{2} + 2 \, f h q \log\left(c\right) \log\left(d\right) + f h \log\left(c\right)^{2}\right)} b^{3}\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{f h^{3} x^{3} + e g^{2} h + {\left(2 \, f g h^{2} + e h^{3}\right)} x^{2} + {\left(f g^{2} h + 2 \, e g h^{2}\right)} x}\,{d x}"," ",0,"3*a^2*b*f*p*q*(log(f*x + e)/(f*g*h - e*h^2) - log(h*x + g)/(f*g*h - e*h^2)) - b^3*log(((f*x + e)^p)^q)^3/(h^2*x + g*h) - 3*a^2*b*log(((f*x + e)^p*d)^q*c)/(h^2*x + g*h) - a^3/(h^2*x + g*h) + integrate((3*(e*h*q^2*log(d)^2 + 2*e*h*q*log(c)*log(d) + e*h*log(c)^2)*a*b^2 + (e*h*q^3*log(d)^3 + 3*e*h*q^2*log(c)*log(d)^2 + 3*e*h*q*log(c)^2*log(d) + e*h*log(c)^3)*b^3 + 3*(a*b^2*e*h + (f*g*p*q + e*h*q*log(d) + e*h*log(c))*b^3 + (a*b^2*f*h + (f*h*p*q + f*h*q*log(d) + f*h*log(c))*b^3)*x)*log(((f*x + e)^p)^q)^2 + (3*(f*h*q^2*log(d)^2 + 2*f*h*q*log(c)*log(d) + f*h*log(c)^2)*a*b^2 + (f*h*q^3*log(d)^3 + 3*f*h*q^2*log(c)*log(d)^2 + 3*f*h*q*log(c)^2*log(d) + f*h*log(c)^3)*b^3)*x + 3*(2*(e*h*q*log(d) + e*h*log(c))*a*b^2 + (e*h*q^2*log(d)^2 + 2*e*h*q*log(c)*log(d) + e*h*log(c)^2)*b^3 + (2*(f*h*q*log(d) + f*h*log(c))*a*b^2 + (f*h*q^2*log(d)^2 + 2*f*h*q*log(c)*log(d) + f*h*log(c)^2)*b^3)*x)*log(((f*x + e)^p)^q))/(f*h^3*x^3 + e*g^2*h + (2*f*g*h^2 + e*h^3)*x^2 + (f*g^2*h + 2*e*g*h^2)*x), x)","F",0
440,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g)^3,x, algorithm=""maxima"")","\frac{3}{2} \, a^{2} b f p q {\left(\frac{f \log\left(f x + e\right)}{f^{2} g^{2} h - 2 \, e f g h^{2} + e^{2} h^{3}} - \frac{f \log\left(h x + g\right)}{f^{2} g^{2} h - 2 \, e f g h^{2} + e^{2} h^{3}} + \frac{1}{f g^{2} h - e g h^{2} + {\left(f g h^{2} - e h^{3}\right)} x}\right)} - \frac{b^{3} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{3}}{2 \, {\left(h^{3} x^{2} + 2 \, g h^{2} x + g^{2} h\right)}} - \frac{3 \, a^{2} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{2 \, {\left(h^{3} x^{2} + 2 \, g h^{2} x + g^{2} h\right)}} - \frac{a^{3}}{2 \, {\left(h^{3} x^{2} + 2 \, g h^{2} x + g^{2} h\right)}} + \int \frac{6 \, {\left(e h q^{2} \log\left(d\right)^{2} + 2 \, e h q \log\left(c\right) \log\left(d\right) + e h \log\left(c\right)^{2}\right)} a b^{2} + 2 \, {\left(e h q^{3} \log\left(d\right)^{3} + 3 \, e h q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, e h q \log\left(c\right)^{2} \log\left(d\right) + e h \log\left(c\right)^{3}\right)} b^{3} + 3 \, {\left(2 \, a b^{2} e h + {\left(f g p q + 2 \, e h q \log\left(d\right) + 2 \, e h \log\left(c\right)\right)} b^{3} + {\left(2 \, a b^{2} f h + {\left(f h p q + 2 \, f h q \log\left(d\right) + 2 \, f h \log\left(c\right)\right)} b^{3}\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + 2 \, {\left(3 \, {\left(f h q^{2} \log\left(d\right)^{2} + 2 \, f h q \log\left(c\right) \log\left(d\right) + f h \log\left(c\right)^{2}\right)} a b^{2} + {\left(f h q^{3} \log\left(d\right)^{3} + 3 \, f h q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, f h q \log\left(c\right)^{2} \log\left(d\right) + f h \log\left(c\right)^{3}\right)} b^{3}\right)} x + 6 \, {\left(2 \, {\left(e h q \log\left(d\right) + e h \log\left(c\right)\right)} a b^{2} + {\left(e h q^{2} \log\left(d\right)^{2} + 2 \, e h q \log\left(c\right) \log\left(d\right) + e h \log\left(c\right)^{2}\right)} b^{3} + {\left(2 \, {\left(f h q \log\left(d\right) + f h \log\left(c\right)\right)} a b^{2} + {\left(f h q^{2} \log\left(d\right)^{2} + 2 \, f h q \log\left(c\right) \log\left(d\right) + f h \log\left(c\right)^{2}\right)} b^{3}\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{2 \, {\left(f h^{4} x^{4} + e g^{3} h + {\left(3 \, f g h^{3} + e h^{4}\right)} x^{3} + 3 \, {\left(f g^{2} h^{2} + e g h^{3}\right)} x^{2} + {\left(f g^{3} h + 3 \, e g^{2} h^{2}\right)} x\right)}}\,{d x}"," ",0,"3/2*a^2*b*f*p*q*(f*log(f*x + e)/(f^2*g^2*h - 2*e*f*g*h^2 + e^2*h^3) - f*log(h*x + g)/(f^2*g^2*h - 2*e*f*g*h^2 + e^2*h^3) + 1/(f*g^2*h - e*g*h^2 + (f*g*h^2 - e*h^3)*x)) - 1/2*b^3*log(((f*x + e)^p)^q)^3/(h^3*x^2 + 2*g*h^2*x + g^2*h) - 3/2*a^2*b*log(((f*x + e)^p*d)^q*c)/(h^3*x^2 + 2*g*h^2*x + g^2*h) - 1/2*a^3/(h^3*x^2 + 2*g*h^2*x + g^2*h) + integrate(1/2*(6*(e*h*q^2*log(d)^2 + 2*e*h*q*log(c)*log(d) + e*h*log(c)^2)*a*b^2 + 2*(e*h*q^3*log(d)^3 + 3*e*h*q^2*log(c)*log(d)^2 + 3*e*h*q*log(c)^2*log(d) + e*h*log(c)^3)*b^3 + 3*(2*a*b^2*e*h + (f*g*p*q + 2*e*h*q*log(d) + 2*e*h*log(c))*b^3 + (2*a*b^2*f*h + (f*h*p*q + 2*f*h*q*log(d) + 2*f*h*log(c))*b^3)*x)*log(((f*x + e)^p)^q)^2 + 2*(3*(f*h*q^2*log(d)^2 + 2*f*h*q*log(c)*log(d) + f*h*log(c)^2)*a*b^2 + (f*h*q^3*log(d)^3 + 3*f*h*q^2*log(c)*log(d)^2 + 3*f*h*q*log(c)^2*log(d) + f*h*log(c)^3)*b^3)*x + 6*(2*(e*h*q*log(d) + e*h*log(c))*a*b^2 + (e*h*q^2*log(d)^2 + 2*e*h*q*log(c)*log(d) + e*h*log(c)^2)*b^3 + (2*(f*h*q*log(d) + f*h*log(c))*a*b^2 + (f*h*q^2*log(d)^2 + 2*f*h*q*log(c)*log(d) + f*h*log(c)^2)*b^3)*x)*log(((f*x + e)^p)^q))/(f*h^4*x^4 + e*g^3*h + (3*f*g*h^3 + e*h^4)*x^3 + 3*(f*g^2*h^2 + e*g*h^3)*x^2 + (f*g^3*h + 3*e*g^2*h^2)*x), x)","F",0
441,1,559,0,0.876967," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^4,x, algorithm=""maxima"")","b^{4} x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{4} - 4 \, a^{3} b f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} + 4 \, a b^{3} x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + 6 \, a^{2} b^{2} x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} + 4 \, a^{3} b x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) - 6 \, {\left(2 \, f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + \frac{{\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} p^{2} q^{2}}{f}\right)} a^{2} b^{2} - 4 \, {\left(3 \, f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2} - {\left(\frac{{\left(e \log\left(f x + e\right)^{3} + 3 \, e \log\left(f x + e\right)^{2} - 6 \, f x + 6 \, e \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{2}} - \frac{3 \, {\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} p q \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{f^{2}}\right)} f p q\right)} a b^{3} - {\left(4 \, f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{3} + {\left({\left(\frac{{\left(e \log\left(f x + e\right)^{4} + 4 \, e \log\left(f x + e\right)^{3} + 12 \, e \log\left(f x + e\right)^{2} - 24 \, f x + 24 \, e \log\left(f x + e\right)\right)} p^{2} q^{2}}{f^{3}} - \frac{4 \, {\left(e \log\left(f x + e\right)^{3} + 3 \, e \log\left(f x + e\right)^{2} - 6 \, f x + 6 \, e \log\left(f x + e\right)\right)} p q \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{f^{3}}\right)} f p q + \frac{6 \, {\left(e \log\left(f x + e\right)^{2} - 2 \, f x + 2 \, e \log\left(f x + e\right)\right)} p q \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)^{2}}{f^{2}}\right)} f p q\right)} b^{4} + a^{4} x"," ",0,"b^4*x*log(((f*x + e)^p*d)^q*c)^4 - 4*a^3*b*f*p*q*(x/f - e*log(f*x + e)/f^2) + 4*a*b^3*x*log(((f*x + e)^p*d)^q*c)^3 + 6*a^2*b^2*x*log(((f*x + e)^p*d)^q*c)^2 + 4*a^3*b*x*log(((f*x + e)^p*d)^q*c) - 6*(2*f*p*q*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^p*d)^q*c) + (e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*p^2*q^2/f)*a^2*b^2 - 4*(3*f*p*q*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^p*d)^q*c)^2 - ((e*log(f*x + e)^3 + 3*e*log(f*x + e)^2 - 6*f*x + 6*e*log(f*x + e))*p^2*q^2/f^2 - 3*(e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*p*q*log(((f*x + e)^p*d)^q*c)/f^2)*f*p*q)*a*b^3 - (4*f*p*q*(x/f - e*log(f*x + e)/f^2)*log(((f*x + e)^p*d)^q*c)^3 + (((e*log(f*x + e)^4 + 4*e*log(f*x + e)^3 + 12*e*log(f*x + e)^2 - 24*f*x + 24*e*log(f*x + e))*p^2*q^2/f^3 - 4*(e*log(f*x + e)^3 + 3*e*log(f*x + e)^2 - 6*f*x + 6*e*log(f*x + e))*p*q*log(((f*x + e)^p*d)^q*c)/f^3)*f*p*q + 6*(e*log(f*x + e)^2 - 2*f*x + 2*e*log(f*x + e))*p*q*log(((f*x + e)^p*d)^q*c)^2/f^2)*f*p*q)*b^4 + a^4*x","B",0
442,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^4/(h*x+g),x, algorithm=""maxima"")","\frac{a^{4} \log\left(h x + g\right)}{h} + \int \frac{b^{4} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{4} + 4 \, {\left(q \log\left(d\right) + \log\left(c\right)\right)} a^{3} b + 6 \, {\left(q^{2} \log\left(d\right)^{2} + 2 \, q \log\left(c\right) \log\left(d\right) + \log\left(c\right)^{2}\right)} a^{2} b^{2} + 4 \, {\left(q^{3} \log\left(d\right)^{3} + 3 \, q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, q \log\left(c\right)^{2} \log\left(d\right) + \log\left(c\right)^{3}\right)} a b^{3} + {\left(q^{4} \log\left(d\right)^{4} + 4 \, q^{3} \log\left(c\right) \log\left(d\right)^{3} + 6 \, q^{2} \log\left(c\right)^{2} \log\left(d\right)^{2} + 4 \, q \log\left(c\right)^{3} \log\left(d\right) + \log\left(c\right)^{4}\right)} b^{4} + 4 \, {\left({\left(q \log\left(d\right) + \log\left(c\right)\right)} b^{4} + a b^{3}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{3} + 6 \, {\left(2 \, {\left(q \log\left(d\right) + \log\left(c\right)\right)} a b^{3} + {\left(q^{2} \log\left(d\right)^{2} + 2 \, q \log\left(c\right) \log\left(d\right) + \log\left(c\right)^{2}\right)} b^{4} + a^{2} b^{2}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + 4 \, {\left(3 \, {\left(q \log\left(d\right) + \log\left(c\right)\right)} a^{2} b^{2} + 3 \, {\left(q^{2} \log\left(d\right)^{2} + 2 \, q \log\left(c\right) \log\left(d\right) + \log\left(c\right)^{2}\right)} a b^{3} + {\left(q^{3} \log\left(d\right)^{3} + 3 \, q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, q \log\left(c\right)^{2} \log\left(d\right) + \log\left(c\right)^{3}\right)} b^{4} + a^{3} b\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h x + g}\,{d x}"," ",0,"a^4*log(h*x + g)/h + integrate((b^4*log(((f*x + e)^p)^q)^4 + 4*(q*log(d) + log(c))*a^3*b + 6*(q^2*log(d)^2 + 2*q*log(c)*log(d) + log(c)^2)*a^2*b^2 + 4*(q^3*log(d)^3 + 3*q^2*log(c)*log(d)^2 + 3*q*log(c)^2*log(d) + log(c)^3)*a*b^3 + (q^4*log(d)^4 + 4*q^3*log(c)*log(d)^3 + 6*q^2*log(c)^2*log(d)^2 + 4*q*log(c)^3*log(d) + log(c)^4)*b^4 + 4*((q*log(d) + log(c))*b^4 + a*b^3)*log(((f*x + e)^p)^q)^3 + 6*(2*(q*log(d) + log(c))*a*b^3 + (q^2*log(d)^2 + 2*q*log(c)*log(d) + log(c)^2)*b^4 + a^2*b^2)*log(((f*x + e)^p)^q)^2 + 4*(3*(q*log(d) + log(c))*a^2*b^2 + 3*(q^2*log(d)^2 + 2*q*log(c)*log(d) + log(c)^2)*a*b^3 + (q^3*log(d)^3 + 3*q^2*log(c)*log(d)^2 + 3*q*log(c)^2*log(d) + log(c)^3)*b^4 + a^3*b)*log(((f*x + e)^p)^q))/(h*x + g), x)","F",0
443,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^4/(h*x+g)^2,x, algorithm=""maxima"")","4 \, a^{3} b f p q {\left(\frac{\log\left(f x + e\right)}{f g h - e h^{2}} - \frac{\log\left(h x + g\right)}{f g h - e h^{2}}\right)} - \frac{b^{4} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{4}}{h^{2} x + g h} - \frac{4 \, a^{3} b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)}{h^{2} x + g h} - \frac{a^{4}}{h^{2} x + g h} + \int \frac{6 \, {\left(e h q^{2} \log\left(d\right)^{2} + 2 \, e h q \log\left(c\right) \log\left(d\right) + e h \log\left(c\right)^{2}\right)} a^{2} b^{2} + 4 \, {\left(e h q^{3} \log\left(d\right)^{3} + 3 \, e h q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, e h q \log\left(c\right)^{2} \log\left(d\right) + e h \log\left(c\right)^{3}\right)} a b^{3} + {\left(e h q^{4} \log\left(d\right)^{4} + 4 \, e h q^{3} \log\left(c\right) \log\left(d\right)^{3} + 6 \, e h q^{2} \log\left(c\right)^{2} \log\left(d\right)^{2} + 4 \, e h q \log\left(c\right)^{3} \log\left(d\right) + e h \log\left(c\right)^{4}\right)} b^{4} + 4 \, {\left(a b^{3} e h + {\left(f g p q + e h q \log\left(d\right) + e h \log\left(c\right)\right)} b^{4} + {\left(a b^{3} f h + {\left(f h p q + f h q \log\left(d\right) + f h \log\left(c\right)\right)} b^{4}\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{3} + 6 \, {\left(a^{2} b^{2} e h + 2 \, {\left(e h q \log\left(d\right) + e h \log\left(c\right)\right)} a b^{3} + {\left(e h q^{2} \log\left(d\right)^{2} + 2 \, e h q \log\left(c\right) \log\left(d\right) + e h \log\left(c\right)^{2}\right)} b^{4} + {\left(a^{2} b^{2} f h + 2 \, {\left(f h q \log\left(d\right) + f h \log\left(c\right)\right)} a b^{3} + {\left(f h q^{2} \log\left(d\right)^{2} + 2 \, f h q \log\left(c\right) \log\left(d\right) + f h \log\left(c\right)^{2}\right)} b^{4}\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + {\left(6 \, {\left(f h q^{2} \log\left(d\right)^{2} + 2 \, f h q \log\left(c\right) \log\left(d\right) + f h \log\left(c\right)^{2}\right)} a^{2} b^{2} + 4 \, {\left(f h q^{3} \log\left(d\right)^{3} + 3 \, f h q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, f h q \log\left(c\right)^{2} \log\left(d\right) + f h \log\left(c\right)^{3}\right)} a b^{3} + {\left(f h q^{4} \log\left(d\right)^{4} + 4 \, f h q^{3} \log\left(c\right) \log\left(d\right)^{3} + 6 \, f h q^{2} \log\left(c\right)^{2} \log\left(d\right)^{2} + 4 \, f h q \log\left(c\right)^{3} \log\left(d\right) + f h \log\left(c\right)^{4}\right)} b^{4}\right)} x + 4 \, {\left(3 \, {\left(e h q \log\left(d\right) + e h \log\left(c\right)\right)} a^{2} b^{2} + 3 \, {\left(e h q^{2} \log\left(d\right)^{2} + 2 \, e h q \log\left(c\right) \log\left(d\right) + e h \log\left(c\right)^{2}\right)} a b^{3} + {\left(e h q^{3} \log\left(d\right)^{3} + 3 \, e h q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, e h q \log\left(c\right)^{2} \log\left(d\right) + e h \log\left(c\right)^{3}\right)} b^{4} + {\left(3 \, {\left(f h q \log\left(d\right) + f h \log\left(c\right)\right)} a^{2} b^{2} + 3 \, {\left(f h q^{2} \log\left(d\right)^{2} + 2 \, f h q \log\left(c\right) \log\left(d\right) + f h \log\left(c\right)^{2}\right)} a b^{3} + {\left(f h q^{3} \log\left(d\right)^{3} + 3 \, f h q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, f h q \log\left(c\right)^{2} \log\left(d\right) + f h \log\left(c\right)^{3}\right)} b^{4}\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{f h^{3} x^{3} + e g^{2} h + {\left(2 \, f g h^{2} + e h^{3}\right)} x^{2} + {\left(f g^{2} h + 2 \, e g h^{2}\right)} x}\,{d x}"," ",0,"4*a^3*b*f*p*q*(log(f*x + e)/(f*g*h - e*h^2) - log(h*x + g)/(f*g*h - e*h^2)) - b^4*log(((f*x + e)^p)^q)^4/(h^2*x + g*h) - 4*a^3*b*log(((f*x + e)^p*d)^q*c)/(h^2*x + g*h) - a^4/(h^2*x + g*h) + integrate((6*(e*h*q^2*log(d)^2 + 2*e*h*q*log(c)*log(d) + e*h*log(c)^2)*a^2*b^2 + 4*(e*h*q^3*log(d)^3 + 3*e*h*q^2*log(c)*log(d)^2 + 3*e*h*q*log(c)^2*log(d) + e*h*log(c)^3)*a*b^3 + (e*h*q^4*log(d)^4 + 4*e*h*q^3*log(c)*log(d)^3 + 6*e*h*q^2*log(c)^2*log(d)^2 + 4*e*h*q*log(c)^3*log(d) + e*h*log(c)^4)*b^4 + 4*(a*b^3*e*h + (f*g*p*q + e*h*q*log(d) + e*h*log(c))*b^4 + (a*b^3*f*h + (f*h*p*q + f*h*q*log(d) + f*h*log(c))*b^4)*x)*log(((f*x + e)^p)^q)^3 + 6*(a^2*b^2*e*h + 2*(e*h*q*log(d) + e*h*log(c))*a*b^3 + (e*h*q^2*log(d)^2 + 2*e*h*q*log(c)*log(d) + e*h*log(c)^2)*b^4 + (a^2*b^2*f*h + 2*(f*h*q*log(d) + f*h*log(c))*a*b^3 + (f*h*q^2*log(d)^2 + 2*f*h*q*log(c)*log(d) + f*h*log(c)^2)*b^4)*x)*log(((f*x + e)^p)^q)^2 + (6*(f*h*q^2*log(d)^2 + 2*f*h*q*log(c)*log(d) + f*h*log(c)^2)*a^2*b^2 + 4*(f*h*q^3*log(d)^3 + 3*f*h*q^2*log(c)*log(d)^2 + 3*f*h*q*log(c)^2*log(d) + f*h*log(c)^3)*a*b^3 + (f*h*q^4*log(d)^4 + 4*f*h*q^3*log(c)*log(d)^3 + 6*f*h*q^2*log(c)^2*log(d)^2 + 4*f*h*q*log(c)^3*log(d) + f*h*log(c)^4)*b^4)*x + 4*(3*(e*h*q*log(d) + e*h*log(c))*a^2*b^2 + 3*(e*h*q^2*log(d)^2 + 2*e*h*q*log(c)*log(d) + e*h*log(c)^2)*a*b^3 + (e*h*q^3*log(d)^3 + 3*e*h*q^2*log(c)*log(d)^2 + 3*e*h*q*log(c)^2*log(d) + e*h*log(c)^3)*b^4 + (3*(f*h*q*log(d) + f*h*log(c))*a^2*b^2 + 3*(f*h*q^2*log(d)^2 + 2*f*h*q*log(c)*log(d) + f*h*log(c)^2)*a*b^3 + (f*h*q^3*log(d)^3 + 3*f*h*q^2*log(c)*log(d)^2 + 3*f*h*q*log(c)^2*log(d) + f*h*log(c)^3)*b^4)*x)*log(((f*x + e)^p)^q))/(f*h^3*x^3 + e*g^2*h + (2*f*g*h^2 + e*h^3)*x^2 + (f*g^2*h + 2*e*g*h^2)*x), x)","F",0
444,1,40,0,0.577722," ","integrate(log(c*(d*(f*x+e)^p)^q),x, algorithm=""maxima"")","-f p q {\left(\frac{x}{f} - \frac{e \log\left(f x + e\right)}{f^{2}}\right)} + x \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right)"," ",0,"-f*p*q*(x/f - e*log(f*x + e)/f^2) + x*log(((f*x + e)^p*d)^q*c)","A",0
445,0,0,0,0.000000," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\int \frac{{\left(h x + g\right)}^{2}}{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate((h*x + g)^2/(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
446,0,0,0,0.000000," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\int \frac{h x + g}{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate((h*x + g)/(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
447,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\int \frac{1}{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate(1/(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
448,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\int \frac{1}{{\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
449,0,0,0,0.000000," ","integrate(1/(h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\int \frac{1}{{\left(h x + g\right)}^{2} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((h*x + g)^2*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
450,0,0,0,0.000000," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","-\frac{f h^{2} x^{3} + e g^{2} + {\left(2 \, f g h + e h^{2}\right)} x^{2} + {\left(f g^{2} + 2 \, e g h\right)} x}{b^{2} f p q \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + a b f p q + {\left(f p q^{2} \log\left(d\right) + f p q \log\left(c\right)\right)} b^{2}} + \int \frac{3 \, f h^{2} x^{2} + f g^{2} + 2 \, e g h + 2 \, {\left(2 \, f g h + e h^{2}\right)} x}{b^{2} f p q \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + a b f p q + {\left(f p q^{2} \log\left(d\right) + f p q \log\left(c\right)\right)} b^{2}}\,{d x}"," ",0,"-(f*h^2*x^3 + e*g^2 + (2*f*g*h + e*h^2)*x^2 + (f*g^2 + 2*e*g*h)*x)/(b^2*f*p*q*log(((f*x + e)^p)^q) + a*b*f*p*q + (f*p*q^2*log(d) + f*p*q*log(c))*b^2) + integrate((3*f*h^2*x^2 + f*g^2 + 2*e*g*h + 2*(2*f*g*h + e*h^2)*x)/(b^2*f*p*q*log(((f*x + e)^p)^q) + a*b*f*p*q + (f*p*q^2*log(d) + f*p*q*log(c))*b^2), x)","F",0
451,0,0,0,0.000000," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","-\frac{f h x^{2} + e g + {\left(f g + e h\right)} x}{b^{2} f p q \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + a b f p q + {\left(f p q^{2} \log\left(d\right) + f p q \log\left(c\right)\right)} b^{2}} + \int \frac{2 \, f h x + f g + e h}{b^{2} f p q \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + a b f p q + {\left(f p q^{2} \log\left(d\right) + f p q \log\left(c\right)\right)} b^{2}}\,{d x}"," ",0,"-(f*h*x^2 + e*g + (f*g + e*h)*x)/(b^2*f*p*q*log(((f*x + e)^p)^q) + a*b*f*p*q + (f*p*q^2*log(d) + f*p*q*log(c))*b^2) + integrate((2*f*h*x + f*g + e*h)/(b^2*f*p*q*log(((f*x + e)^p)^q) + a*b*f*p*q + (f*p*q^2*log(d) + f*p*q*log(c))*b^2), x)","F",0
452,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","-\frac{f x + e}{b^{2} f p q \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + a b f p q + {\left(f p q^{2} \log\left(d\right) + f p q \log\left(c\right)\right)} b^{2}} + \int \frac{1}{b^{2} p q \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + a b p q + {\left(p q^{2} \log\left(d\right) + p q \log\left(c\right)\right)} b^{2}}\,{d x}"," ",0,"-(f*x + e)/(b^2*f*p*q*log(((f*x + e)^p)^q) + a*b*f*p*q + (f*p*q^2*log(d) + f*p*q*log(c))*b^2) + integrate(1/(b^2*p*q*log(((f*x + e)^p)^q) + a*b*p*q + (p*q^2*log(d) + p*q*log(c))*b^2), x)","F",0
453,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","{\left(f g - e h\right)} \int \frac{1}{a b f g^{2} p q + {\left(f g^{2} p q^{2} \log\left(d\right) + f g^{2} p q \log\left(c\right)\right)} b^{2} + {\left(a b f h^{2} p q + {\left(f h^{2} p q^{2} \log\left(d\right) + f h^{2} p q \log\left(c\right)\right)} b^{2}\right)} x^{2} + 2 \, {\left(a b f g h p q + {\left(f g h p q^{2} \log\left(d\right) + f g h p q \log\left(c\right)\right)} b^{2}\right)} x + {\left(b^{2} f h^{2} p q x^{2} + 2 \, b^{2} f g h p q x + b^{2} f g^{2} p q\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}\,{d x} - \frac{f x + e}{a b f g p q + {\left(f g p q^{2} \log\left(d\right) + f g p q \log\left(c\right)\right)} b^{2} + {\left(a b f h p q + {\left(f h p q^{2} \log\left(d\right) + f h p q \log\left(c\right)\right)} b^{2}\right)} x + {\left(b^{2} f h p q x + b^{2} f g p q\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}"," ",0,"(f*g - e*h)*integrate(1/(a*b*f*g^2*p*q + (f*g^2*p*q^2*log(d) + f*g^2*p*q*log(c))*b^2 + (a*b*f*h^2*p*q + (f*h^2*p*q^2*log(d) + f*h^2*p*q*log(c))*b^2)*x^2 + 2*(a*b*f*g*h*p*q + (f*g*h*p*q^2*log(d) + f*g*h*p*q*log(c))*b^2)*x + (b^2*f*h^2*p*q*x^2 + 2*b^2*f*g*h*p*q*x + b^2*f*g^2*p*q)*log(((f*x + e)^p)^q)), x) - (f*x + e)/(a*b*f*g*p*q + (f*g*p*q^2*log(d) + f*g*p*q*log(c))*b^2 + (a*b*f*h*p*q + (f*h*p*q^2*log(d) + f*h*p*q*log(c))*b^2)*x + (b^2*f*h*p*q*x + b^2*f*g*p*q)*log(((f*x + e)^p)^q))","F",0
454,0,0,0,0.000000," ","integrate(1/(h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","-\frac{f x + e}{a b f g^{2} p q + {\left(f g^{2} p q^{2} \log\left(d\right) + f g^{2} p q \log\left(c\right)\right)} b^{2} + {\left(a b f h^{2} p q + {\left(f h^{2} p q^{2} \log\left(d\right) + f h^{2} p q \log\left(c\right)\right)} b^{2}\right)} x^{2} + 2 \, {\left(a b f g h p q + {\left(f g h p q^{2} \log\left(d\right) + f g h p q \log\left(c\right)\right)} b^{2}\right)} x + {\left(b^{2} f h^{2} p q x^{2} + 2 \, b^{2} f g h p q x + b^{2} f g^{2} p q\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)} - \int \frac{f h x - f g + 2 \, e h}{a b f g^{3} p q + {\left(a b f h^{3} p q + {\left(f h^{3} p q^{2} \log\left(d\right) + f h^{3} p q \log\left(c\right)\right)} b^{2}\right)} x^{3} + {\left(f g^{3} p q^{2} \log\left(d\right) + f g^{3} p q \log\left(c\right)\right)} b^{2} + 3 \, {\left(a b f g h^{2} p q + {\left(f g h^{2} p q^{2} \log\left(d\right) + f g h^{2} p q \log\left(c\right)\right)} b^{2}\right)} x^{2} + 3 \, {\left(a b f g^{2} h p q + {\left(f g^{2} h p q^{2} \log\left(d\right) + f g^{2} h p q \log\left(c\right)\right)} b^{2}\right)} x + {\left(b^{2} f h^{3} p q x^{3} + 3 \, b^{2} f g h^{2} p q x^{2} + 3 \, b^{2} f g^{2} h p q x + b^{2} f g^{3} p q\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}\,{d x}"," ",0,"-(f*x + e)/(a*b*f*g^2*p*q + (f*g^2*p*q^2*log(d) + f*g^2*p*q*log(c))*b^2 + (a*b*f*h^2*p*q + (f*h^2*p*q^2*log(d) + f*h^2*p*q*log(c))*b^2)*x^2 + 2*(a*b*f*g*h*p*q + (f*g*h*p*q^2*log(d) + f*g*h*p*q*log(c))*b^2)*x + (b^2*f*h^2*p*q*x^2 + 2*b^2*f*g*h*p*q*x + b^2*f*g^2*p*q)*log(((f*x + e)^p)^q)) - integrate((f*h*x - f*g + 2*e*h)/(a*b*f*g^3*p*q + (a*b*f*h^3*p*q + (f*h^3*p*q^2*log(d) + f*h^3*p*q*log(c))*b^2)*x^3 + (f*g^3*p*q^2*log(d) + f*g^3*p*q*log(c))*b^2 + 3*(a*b*f*g*h^2*p*q + (f*g*h^2*p*q^2*log(d) + f*g*h^2*p*q*log(c))*b^2)*x^2 + 3*(a*b*f*g^2*h*p*q + (f*g^2*h*p*q^2*log(d) + f*g^2*h*p*q*log(c))*b^2)*x + (b^2*f*h^3*p*q*x^3 + 3*b^2*f*g*h^2*p*q*x^2 + 3*b^2*f*g^2*h*p*q*x + b^2*f*g^3*p*q)*log(((f*x + e)^p)^q)), x)","F",0
455,0,0,0,0.000000," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""maxima"")","-\frac{{\left(3 \, a f^{2} h^{2} + {\left(f^{2} h^{2} p q + 3 \, f^{2} h^{2} q \log\left(d\right) + 3 \, f^{2} h^{2} \log\left(c\right)\right)} b\right)} x^{3} + {\left({\left(4 \, f^{2} g h + 5 \, e f h^{2}\right)} a + {\left(2 \, f^{2} g h p q + e f h^{2} p q + {\left(4 \, f^{2} g h + 5 \, e f h^{2}\right)} \log\left(c\right) + {\left(4 \, f^{2} g h q + 5 \, e f h^{2} q\right)} \log\left(d\right)\right)} b\right)} x^{2} + {\left(e f g^{2} + 2 \, e^{2} g h\right)} a + {\left(e f g^{2} p q + {\left(e f g^{2} + 2 \, e^{2} g h\right)} \log\left(c\right) + {\left(e f g^{2} q + 2 \, e^{2} g h q\right)} \log\left(d\right)\right)} b + {\left({\left(f^{2} g^{2} + 6 \, e f g h + 2 \, e^{2} h^{2}\right)} a + {\left(f^{2} g^{2} p q + 2 \, e f g h p q + {\left(f^{2} g^{2} + 6 \, e f g h + 2 \, e^{2} h^{2}\right)} \log\left(c\right) + {\left(f^{2} g^{2} q + 6 \, e f g h q + 2 \, e^{2} h^{2} q\right)} \log\left(d\right)\right)} b\right)} x + {\left(3 \, b f^{2} h^{2} x^{3} + {\left(4 \, f^{2} g h + 5 \, e f h^{2}\right)} b x^{2} + {\left(f^{2} g^{2} + 6 \, e f g h + 2 \, e^{2} h^{2}\right)} b x + {\left(e f g^{2} + 2 \, e^{2} g h\right)} b\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{2 \, {\left(b^{4} f^{2} p^{2} q^{2} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + a^{2} b^{2} f^{2} p^{2} q^{2} + 2 \, {\left(f^{2} p^{2} q^{3} \log\left(d\right) + f^{2} p^{2} q^{2} \log\left(c\right)\right)} a b^{3} + {\left(f^{2} p^{2} q^{4} \log\left(d\right)^{2} + 2 \, f^{2} p^{2} q^{3} \log\left(c\right) \log\left(d\right) + f^{2} p^{2} q^{2} \log\left(c\right)^{2}\right)} b^{4} + 2 \, {\left(a b^{3} f^{2} p^{2} q^{2} + {\left(f^{2} p^{2} q^{3} \log\left(d\right) + f^{2} p^{2} q^{2} \log\left(c\right)\right)} b^{4}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)\right)}} + \int \frac{9 \, f^{2} h^{2} x^{2} + f^{2} g^{2} + 6 \, e f g h + 2 \, e^{2} h^{2} + 2 \, {\left(4 \, f^{2} g h + 5 \, e f h^{2}\right)} x}{2 \, {\left(b^{3} f^{2} p^{2} q^{2} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + a b^{2} f^{2} p^{2} q^{2} + {\left(f^{2} p^{2} q^{3} \log\left(d\right) + f^{2} p^{2} q^{2} \log\left(c\right)\right)} b^{3}\right)}}\,{d x}"," ",0,"-1/2*((3*a*f^2*h^2 + (f^2*h^2*p*q + 3*f^2*h^2*q*log(d) + 3*f^2*h^2*log(c))*b)*x^3 + ((4*f^2*g*h + 5*e*f*h^2)*a + (2*f^2*g*h*p*q + e*f*h^2*p*q + (4*f^2*g*h + 5*e*f*h^2)*log(c) + (4*f^2*g*h*q + 5*e*f*h^2*q)*log(d))*b)*x^2 + (e*f*g^2 + 2*e^2*g*h)*a + (e*f*g^2*p*q + (e*f*g^2 + 2*e^2*g*h)*log(c) + (e*f*g^2*q + 2*e^2*g*h*q)*log(d))*b + ((f^2*g^2 + 6*e*f*g*h + 2*e^2*h^2)*a + (f^2*g^2*p*q + 2*e*f*g*h*p*q + (f^2*g^2 + 6*e*f*g*h + 2*e^2*h^2)*log(c) + (f^2*g^2*q + 6*e*f*g*h*q + 2*e^2*h^2*q)*log(d))*b)*x + (3*b*f^2*h^2*x^3 + (4*f^2*g*h + 5*e*f*h^2)*b*x^2 + (f^2*g^2 + 6*e*f*g*h + 2*e^2*h^2)*b*x + (e*f*g^2 + 2*e^2*g*h)*b)*log(((f*x + e)^p)^q))/(b^4*f^2*p^2*q^2*log(((f*x + e)^p)^q)^2 + a^2*b^2*f^2*p^2*q^2 + 2*(f^2*p^2*q^3*log(d) + f^2*p^2*q^2*log(c))*a*b^3 + (f^2*p^2*q^4*log(d)^2 + 2*f^2*p^2*q^3*log(c)*log(d) + f^2*p^2*q^2*log(c)^2)*b^4 + 2*(a*b^3*f^2*p^2*q^2 + (f^2*p^2*q^3*log(d) + f^2*p^2*q^2*log(c))*b^4)*log(((f*x + e)^p)^q)) + integrate(1/2*(9*f^2*h^2*x^2 + f^2*g^2 + 6*e*f*g*h + 2*e^2*h^2 + 2*(4*f^2*g*h + 5*e*f*h^2)*x)/(b^3*f^2*p^2*q^2*log(((f*x + e)^p)^q) + a*b^2*f^2*p^2*q^2 + (f^2*p^2*q^3*log(d) + f^2*p^2*q^2*log(c))*b^3), x)","F",0
456,0,0,0,0.000000," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""maxima"")","-\frac{{\left(2 \, a f^{2} h + {\left(f^{2} h p q + 2 \, f^{2} h q \log\left(d\right) + 2 \, f^{2} h \log\left(c\right)\right)} b\right)} x^{2} + {\left(e f g + e^{2} h\right)} a + {\left(e f g p q + {\left(e f g + e^{2} h\right)} \log\left(c\right) + {\left(e f g q + e^{2} h q\right)} \log\left(d\right)\right)} b + {\left({\left(f^{2} g + 3 \, e f h\right)} a + {\left(f^{2} g p q + e f h p q + {\left(f^{2} g + 3 \, e f h\right)} \log\left(c\right) + {\left(f^{2} g q + 3 \, e f h q\right)} \log\left(d\right)\right)} b\right)} x + {\left(2 \, b f^{2} h x^{2} + {\left(f^{2} g + 3 \, e f h\right)} b x + {\left(e f g + e^{2} h\right)} b\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{2 \, {\left(b^{4} f^{2} p^{2} q^{2} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + a^{2} b^{2} f^{2} p^{2} q^{2} + 2 \, {\left(f^{2} p^{2} q^{3} \log\left(d\right) + f^{2} p^{2} q^{2} \log\left(c\right)\right)} a b^{3} + {\left(f^{2} p^{2} q^{4} \log\left(d\right)^{2} + 2 \, f^{2} p^{2} q^{3} \log\left(c\right) \log\left(d\right) + f^{2} p^{2} q^{2} \log\left(c\right)^{2}\right)} b^{4} + 2 \, {\left(a b^{3} f^{2} p^{2} q^{2} + {\left(f^{2} p^{2} q^{3} \log\left(d\right) + f^{2} p^{2} q^{2} \log\left(c\right)\right)} b^{4}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)\right)}} + \int \frac{4 \, f h x + f g + 3 \, e h}{2 \, {\left(b^{3} f p^{2} q^{2} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + a b^{2} f p^{2} q^{2} + {\left(f p^{2} q^{3} \log\left(d\right) + f p^{2} q^{2} \log\left(c\right)\right)} b^{3}\right)}}\,{d x}"," ",0,"-1/2*((2*a*f^2*h + (f^2*h*p*q + 2*f^2*h*q*log(d) + 2*f^2*h*log(c))*b)*x^2 + (e*f*g + e^2*h)*a + (e*f*g*p*q + (e*f*g + e^2*h)*log(c) + (e*f*g*q + e^2*h*q)*log(d))*b + ((f^2*g + 3*e*f*h)*a + (f^2*g*p*q + e*f*h*p*q + (f^2*g + 3*e*f*h)*log(c) + (f^2*g*q + 3*e*f*h*q)*log(d))*b)*x + (2*b*f^2*h*x^2 + (f^2*g + 3*e*f*h)*b*x + (e*f*g + e^2*h)*b)*log(((f*x + e)^p)^q))/(b^4*f^2*p^2*q^2*log(((f*x + e)^p)^q)^2 + a^2*b^2*f^2*p^2*q^2 + 2*(f^2*p^2*q^3*log(d) + f^2*p^2*q^2*log(c))*a*b^3 + (f^2*p^2*q^4*log(d)^2 + 2*f^2*p^2*q^3*log(c)*log(d) + f^2*p^2*q^2*log(c)^2)*b^4 + 2*(a*b^3*f^2*p^2*q^2 + (f^2*p^2*q^3*log(d) + f^2*p^2*q^2*log(c))*b^4)*log(((f*x + e)^p)^q)) + integrate(1/2*(4*f*h*x + f*g + 3*e*h)/(b^3*f*p^2*q^2*log(((f*x + e)^p)^q) + a*b^2*f*p^2*q^2 + (f*p^2*q^3*log(d) + f*p^2*q^2*log(c))*b^3), x)","F",0
457,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""maxima"")","-\frac{{\left(e p q + e q \log\left(d\right) + e \log\left(c\right)\right)} b + a e + {\left({\left(f p q + f q \log\left(d\right) + f \log\left(c\right)\right)} b + a f\right)} x + {\left(b f x + b e\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{2 \, {\left(b^{4} f p^{2} q^{2} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + a^{2} b^{2} f p^{2} q^{2} + 2 \, {\left(f p^{2} q^{3} \log\left(d\right) + f p^{2} q^{2} \log\left(c\right)\right)} a b^{3} + {\left(f p^{2} q^{4} \log\left(d\right)^{2} + 2 \, f p^{2} q^{3} \log\left(c\right) \log\left(d\right) + f p^{2} q^{2} \log\left(c\right)^{2}\right)} b^{4} + 2 \, {\left(a b^{3} f p^{2} q^{2} + {\left(f p^{2} q^{3} \log\left(d\right) + f p^{2} q^{2} \log\left(c\right)\right)} b^{4}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)\right)}} + \int \frac{1}{2 \, {\left(b^{3} p^{2} q^{2} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + a b^{2} p^{2} q^{2} + {\left(p^{2} q^{3} \log\left(d\right) + p^{2} q^{2} \log\left(c\right)\right)} b^{3}\right)}}\,{d x}"," ",0,"-1/2*((e*p*q + e*q*log(d) + e*log(c))*b + a*e + ((f*p*q + f*q*log(d) + f*log(c))*b + a*f)*x + (b*f*x + b*e)*log(((f*x + e)^p)^q))/(b^4*f*p^2*q^2*log(((f*x + e)^p)^q)^2 + a^2*b^2*f*p^2*q^2 + 2*(f*p^2*q^3*log(d) + f*p^2*q^2*log(c))*a*b^3 + (f*p^2*q^4*log(d)^2 + 2*f*p^2*q^3*log(c)*log(d) + f*p^2*q^2*log(c)^2)*b^4 + 2*(a*b^3*f*p^2*q^2 + (f*p^2*q^3*log(d) + f*p^2*q^2*log(c))*b^4)*log(((f*x + e)^p)^q)) + integrate(1/2/(b^3*p^2*q^2*log(((f*x + e)^p)^q) + a*b^2*p^2*q^2 + (p^2*q^3*log(d) + p^2*q^2*log(c))*b^3), x)","F",0
458,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""maxima"")","-\frac{b f^{2} h p q x^{2} + {\left(e f g - e^{2} h\right)} a + {\left(e f g p q + {\left(e f g - e^{2} h\right)} \log\left(c\right) + {\left(e f g q - e^{2} h q\right)} \log\left(d\right)\right)} b + {\left({\left(f^{2} g - e f h\right)} a + {\left(f^{2} g p q + e f h p q + {\left(f^{2} g - e f h\right)} \log\left(c\right) + {\left(f^{2} g q - e f h q\right)} \log\left(d\right)\right)} b\right)} x + {\left({\left(f^{2} g - e f h\right)} b x + {\left(e f g - e^{2} h\right)} b\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{2 \, {\left(a^{2} b^{2} f^{2} g^{2} p^{2} q^{2} + 2 \, {\left(f^{2} g^{2} p^{2} q^{3} \log\left(d\right) + f^{2} g^{2} p^{2} q^{2} \log\left(c\right)\right)} a b^{3} + {\left(f^{2} g^{2} p^{2} q^{4} \log\left(d\right)^{2} + 2 \, f^{2} g^{2} p^{2} q^{3} \log\left(c\right) \log\left(d\right) + f^{2} g^{2} p^{2} q^{2} \log\left(c\right)^{2}\right)} b^{4} + {\left(a^{2} b^{2} f^{2} h^{2} p^{2} q^{2} + 2 \, {\left(f^{2} h^{2} p^{2} q^{3} \log\left(d\right) + f^{2} h^{2} p^{2} q^{2} \log\left(c\right)\right)} a b^{3} + {\left(f^{2} h^{2} p^{2} q^{4} \log\left(d\right)^{2} + 2 \, f^{2} h^{2} p^{2} q^{3} \log\left(c\right) \log\left(d\right) + f^{2} h^{2} p^{2} q^{2} \log\left(c\right)^{2}\right)} b^{4}\right)} x^{2} + {\left(b^{4} f^{2} h^{2} p^{2} q^{2} x^{2} + 2 \, b^{4} f^{2} g h p^{2} q^{2} x + b^{4} f^{2} g^{2} p^{2} q^{2}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + 2 \, {\left(a^{2} b^{2} f^{2} g h p^{2} q^{2} + 2 \, {\left(f^{2} g h p^{2} q^{3} \log\left(d\right) + f^{2} g h p^{2} q^{2} \log\left(c\right)\right)} a b^{3} + {\left(f^{2} g h p^{2} q^{4} \log\left(d\right)^{2} + 2 \, f^{2} g h p^{2} q^{3} \log\left(c\right) \log\left(d\right) + f^{2} g h p^{2} q^{2} \log\left(c\right)^{2}\right)} b^{4}\right)} x + 2 \, {\left(a b^{3} f^{2} g^{2} p^{2} q^{2} + {\left(f^{2} g^{2} p^{2} q^{3} \log\left(d\right) + f^{2} g^{2} p^{2} q^{2} \log\left(c\right)\right)} b^{4} + {\left(a b^{3} f^{2} h^{2} p^{2} q^{2} + {\left(f^{2} h^{2} p^{2} q^{3} \log\left(d\right) + f^{2} h^{2} p^{2} q^{2} \log\left(c\right)\right)} b^{4}\right)} x^{2} + 2 \, {\left(a b^{3} f^{2} g h p^{2} q^{2} + {\left(f^{2} g h p^{2} q^{3} \log\left(d\right) + f^{2} g h p^{2} q^{2} \log\left(c\right)\right)} b^{4}\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)\right)}} + \int \frac{f^{2} g^{2} - 3 \, e f g h + 2 \, e^{2} h^{2} - {\left(f^{2} g h - e f h^{2}\right)} x}{2 \, {\left(a b^{2} f^{2} g^{3} p^{2} q^{2} + {\left(f^{2} g^{3} p^{2} q^{3} \log\left(d\right) + f^{2} g^{3} p^{2} q^{2} \log\left(c\right)\right)} b^{3} + {\left(a b^{2} f^{2} h^{3} p^{2} q^{2} + {\left(f^{2} h^{3} p^{2} q^{3} \log\left(d\right) + f^{2} h^{3} p^{2} q^{2} \log\left(c\right)\right)} b^{3}\right)} x^{3} + 3 \, {\left(a b^{2} f^{2} g h^{2} p^{2} q^{2} + {\left(f^{2} g h^{2} p^{2} q^{3} \log\left(d\right) + f^{2} g h^{2} p^{2} q^{2} \log\left(c\right)\right)} b^{3}\right)} x^{2} + 3 \, {\left(a b^{2} f^{2} g^{2} h p^{2} q^{2} + {\left(f^{2} g^{2} h p^{2} q^{3} \log\left(d\right) + f^{2} g^{2} h p^{2} q^{2} \log\left(c\right)\right)} b^{3}\right)} x + {\left(b^{3} f^{2} h^{3} p^{2} q^{2} x^{3} + 3 \, b^{3} f^{2} g h^{2} p^{2} q^{2} x^{2} + 3 \, b^{3} f^{2} g^{2} h p^{2} q^{2} x + b^{3} f^{2} g^{3} p^{2} q^{2}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)\right)}}\,{d x}"," ",0,"-1/2*(b*f^2*h*p*q*x^2 + (e*f*g - e^2*h)*a + (e*f*g*p*q + (e*f*g - e^2*h)*log(c) + (e*f*g*q - e^2*h*q)*log(d))*b + ((f^2*g - e*f*h)*a + (f^2*g*p*q + e*f*h*p*q + (f^2*g - e*f*h)*log(c) + (f^2*g*q - e*f*h*q)*log(d))*b)*x + ((f^2*g - e*f*h)*b*x + (e*f*g - e^2*h)*b)*log(((f*x + e)^p)^q))/(a^2*b^2*f^2*g^2*p^2*q^2 + 2*(f^2*g^2*p^2*q^3*log(d) + f^2*g^2*p^2*q^2*log(c))*a*b^3 + (f^2*g^2*p^2*q^4*log(d)^2 + 2*f^2*g^2*p^2*q^3*log(c)*log(d) + f^2*g^2*p^2*q^2*log(c)^2)*b^4 + (a^2*b^2*f^2*h^2*p^2*q^2 + 2*(f^2*h^2*p^2*q^3*log(d) + f^2*h^2*p^2*q^2*log(c))*a*b^3 + (f^2*h^2*p^2*q^4*log(d)^2 + 2*f^2*h^2*p^2*q^3*log(c)*log(d) + f^2*h^2*p^2*q^2*log(c)^2)*b^4)*x^2 + (b^4*f^2*h^2*p^2*q^2*x^2 + 2*b^4*f^2*g*h*p^2*q^2*x + b^4*f^2*g^2*p^2*q^2)*log(((f*x + e)^p)^q)^2 + 2*(a^2*b^2*f^2*g*h*p^2*q^2 + 2*(f^2*g*h*p^2*q^3*log(d) + f^2*g*h*p^2*q^2*log(c))*a*b^3 + (f^2*g*h*p^2*q^4*log(d)^2 + 2*f^2*g*h*p^2*q^3*log(c)*log(d) + f^2*g*h*p^2*q^2*log(c)^2)*b^4)*x + 2*(a*b^3*f^2*g^2*p^2*q^2 + (f^2*g^2*p^2*q^3*log(d) + f^2*g^2*p^2*q^2*log(c))*b^4 + (a*b^3*f^2*h^2*p^2*q^2 + (f^2*h^2*p^2*q^3*log(d) + f^2*h^2*p^2*q^2*log(c))*b^4)*x^2 + 2*(a*b^3*f^2*g*h*p^2*q^2 + (f^2*g*h*p^2*q^3*log(d) + f^2*g*h*p^2*q^2*log(c))*b^4)*x)*log(((f*x + e)^p)^q)) + integrate(1/2*(f^2*g^2 - 3*e*f*g*h + 2*e^2*h^2 - (f^2*g*h - e*f*h^2)*x)/(a*b^2*f^2*g^3*p^2*q^2 + (f^2*g^3*p^2*q^3*log(d) + f^2*g^3*p^2*q^2*log(c))*b^3 + (a*b^2*f^2*h^3*p^2*q^2 + (f^2*h^3*p^2*q^3*log(d) + f^2*h^3*p^2*q^2*log(c))*b^3)*x^3 + 3*(a*b^2*f^2*g*h^2*p^2*q^2 + (f^2*g*h^2*p^2*q^3*log(d) + f^2*g*h^2*p^2*q^2*log(c))*b^3)*x^2 + 3*(a*b^2*f^2*g^2*h*p^2*q^2 + (f^2*g^2*h*p^2*q^3*log(d) + f^2*g^2*h*p^2*q^2*log(c))*b^3)*x + (b^3*f^2*h^3*p^2*q^2*x^3 + 3*b^3*f^2*g*h^2*p^2*q^2*x^2 + 3*b^3*f^2*g^2*h*p^2*q^2*x + b^3*f^2*g^3*p^2*q^2)*log(((f*x + e)^p)^q)), x)","F",0
459,0,0,0,0.000000," ","integrate(1/(h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""maxima"")","\frac{{\left(a f^{2} h - {\left(f^{2} h p q - f^{2} h q \log\left(d\right) - f^{2} h \log\left(c\right)\right)} b\right)} x^{2} - {\left(e f g - 2 \, e^{2} h\right)} a - {\left(e f g p q + {\left(e f g - 2 \, e^{2} h\right)} \log\left(c\right) + {\left(e f g q - 2 \, e^{2} h q\right)} \log\left(d\right)\right)} b - {\left({\left(f^{2} g - 3 \, e f h\right)} a + {\left(f^{2} g p q + e f h p q + {\left(f^{2} g - 3 \, e f h\right)} \log\left(c\right) + {\left(f^{2} g q - 3 \, e f h q\right)} \log\left(d\right)\right)} b\right)} x + {\left(b f^{2} h x^{2} - {\left(f^{2} g - 3 \, e f h\right)} b x - {\left(e f g - 2 \, e^{2} h\right)} b\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{2 \, {\left(a^{2} b^{2} f^{2} g^{3} p^{2} q^{2} + 2 \, {\left(f^{2} g^{3} p^{2} q^{3} \log\left(d\right) + f^{2} g^{3} p^{2} q^{2} \log\left(c\right)\right)} a b^{3} + {\left(f^{2} g^{3} p^{2} q^{4} \log\left(d\right)^{2} + 2 \, f^{2} g^{3} p^{2} q^{3} \log\left(c\right) \log\left(d\right) + f^{2} g^{3} p^{2} q^{2} \log\left(c\right)^{2}\right)} b^{4} + {\left(a^{2} b^{2} f^{2} h^{3} p^{2} q^{2} + 2 \, {\left(f^{2} h^{3} p^{2} q^{3} \log\left(d\right) + f^{2} h^{3} p^{2} q^{2} \log\left(c\right)\right)} a b^{3} + {\left(f^{2} h^{3} p^{2} q^{4} \log\left(d\right)^{2} + 2 \, f^{2} h^{3} p^{2} q^{3} \log\left(c\right) \log\left(d\right) + f^{2} h^{3} p^{2} q^{2} \log\left(c\right)^{2}\right)} b^{4}\right)} x^{3} + 3 \, {\left(a^{2} b^{2} f^{2} g h^{2} p^{2} q^{2} + 2 \, {\left(f^{2} g h^{2} p^{2} q^{3} \log\left(d\right) + f^{2} g h^{2} p^{2} q^{2} \log\left(c\right)\right)} a b^{3} + {\left(f^{2} g h^{2} p^{2} q^{4} \log\left(d\right)^{2} + 2 \, f^{2} g h^{2} p^{2} q^{3} \log\left(c\right) \log\left(d\right) + f^{2} g h^{2} p^{2} q^{2} \log\left(c\right)^{2}\right)} b^{4}\right)} x^{2} + {\left(b^{4} f^{2} h^{3} p^{2} q^{2} x^{3} + 3 \, b^{4} f^{2} g h^{2} p^{2} q^{2} x^{2} + 3 \, b^{4} f^{2} g^{2} h p^{2} q^{2} x + b^{4} f^{2} g^{3} p^{2} q^{2}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + 3 \, {\left(a^{2} b^{2} f^{2} g^{2} h p^{2} q^{2} + 2 \, {\left(f^{2} g^{2} h p^{2} q^{3} \log\left(d\right) + f^{2} g^{2} h p^{2} q^{2} \log\left(c\right)\right)} a b^{3} + {\left(f^{2} g^{2} h p^{2} q^{4} \log\left(d\right)^{2} + 2 \, f^{2} g^{2} h p^{2} q^{3} \log\left(c\right) \log\left(d\right) + f^{2} g^{2} h p^{2} q^{2} \log\left(c\right)^{2}\right)} b^{4}\right)} x + 2 \, {\left(a b^{3} f^{2} g^{3} p^{2} q^{2} + {\left(f^{2} g^{3} p^{2} q^{3} \log\left(d\right) + f^{2} g^{3} p^{2} q^{2} \log\left(c\right)\right)} b^{4} + {\left(a b^{3} f^{2} h^{3} p^{2} q^{2} + {\left(f^{2} h^{3} p^{2} q^{3} \log\left(d\right) + f^{2} h^{3} p^{2} q^{2} \log\left(c\right)\right)} b^{4}\right)} x^{3} + 3 \, {\left(a b^{3} f^{2} g h^{2} p^{2} q^{2} + {\left(f^{2} g h^{2} p^{2} q^{3} \log\left(d\right) + f^{2} g h^{2} p^{2} q^{2} \log\left(c\right)\right)} b^{4}\right)} x^{2} + 3 \, {\left(a b^{3} f^{2} g^{2} h p^{2} q^{2} + {\left(f^{2} g^{2} h p^{2} q^{3} \log\left(d\right) + f^{2} g^{2} h p^{2} q^{2} \log\left(c\right)\right)} b^{4}\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)\right)}} + \int \frac{f^{2} h^{2} x^{2} + f^{2} g^{2} - 6 \, e f g h + 6 \, e^{2} h^{2} - 2 \, {\left(2 \, f^{2} g h - 3 \, e f h^{2}\right)} x}{2 \, {\left(a b^{2} f^{2} g^{4} p^{2} q^{2} + {\left(a b^{2} f^{2} h^{4} p^{2} q^{2} + {\left(f^{2} h^{4} p^{2} q^{3} \log\left(d\right) + f^{2} h^{4} p^{2} q^{2} \log\left(c\right)\right)} b^{3}\right)} x^{4} + {\left(f^{2} g^{4} p^{2} q^{3} \log\left(d\right) + f^{2} g^{4} p^{2} q^{2} \log\left(c\right)\right)} b^{3} + 4 \, {\left(a b^{2} f^{2} g h^{3} p^{2} q^{2} + {\left(f^{2} g h^{3} p^{2} q^{3} \log\left(d\right) + f^{2} g h^{3} p^{2} q^{2} \log\left(c\right)\right)} b^{3}\right)} x^{3} + 6 \, {\left(a b^{2} f^{2} g^{2} h^{2} p^{2} q^{2} + {\left(f^{2} g^{2} h^{2} p^{2} q^{3} \log\left(d\right) + f^{2} g^{2} h^{2} p^{2} q^{2} \log\left(c\right)\right)} b^{3}\right)} x^{2} + 4 \, {\left(a b^{2} f^{2} g^{3} h p^{2} q^{2} + {\left(f^{2} g^{3} h p^{2} q^{3} \log\left(d\right) + f^{2} g^{3} h p^{2} q^{2} \log\left(c\right)\right)} b^{3}\right)} x + {\left(b^{3} f^{2} h^{4} p^{2} q^{2} x^{4} + 4 \, b^{3} f^{2} g h^{3} p^{2} q^{2} x^{3} + 6 \, b^{3} f^{2} g^{2} h^{2} p^{2} q^{2} x^{2} + 4 \, b^{3} f^{2} g^{3} h p^{2} q^{2} x + b^{3} f^{2} g^{4} p^{2} q^{2}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)\right)}}\,{d x}"," ",0,"1/2*((a*f^2*h - (f^2*h*p*q - f^2*h*q*log(d) - f^2*h*log(c))*b)*x^2 - (e*f*g - 2*e^2*h)*a - (e*f*g*p*q + (e*f*g - 2*e^2*h)*log(c) + (e*f*g*q - 2*e^2*h*q)*log(d))*b - ((f^2*g - 3*e*f*h)*a + (f^2*g*p*q + e*f*h*p*q + (f^2*g - 3*e*f*h)*log(c) + (f^2*g*q - 3*e*f*h*q)*log(d))*b)*x + (b*f^2*h*x^2 - (f^2*g - 3*e*f*h)*b*x - (e*f*g - 2*e^2*h)*b)*log(((f*x + e)^p)^q))/(a^2*b^2*f^2*g^3*p^2*q^2 + 2*(f^2*g^3*p^2*q^3*log(d) + f^2*g^3*p^2*q^2*log(c))*a*b^3 + (f^2*g^3*p^2*q^4*log(d)^2 + 2*f^2*g^3*p^2*q^3*log(c)*log(d) + f^2*g^3*p^2*q^2*log(c)^2)*b^4 + (a^2*b^2*f^2*h^3*p^2*q^2 + 2*(f^2*h^3*p^2*q^3*log(d) + f^2*h^3*p^2*q^2*log(c))*a*b^3 + (f^2*h^3*p^2*q^4*log(d)^2 + 2*f^2*h^3*p^2*q^3*log(c)*log(d) + f^2*h^3*p^2*q^2*log(c)^2)*b^4)*x^3 + 3*(a^2*b^2*f^2*g*h^2*p^2*q^2 + 2*(f^2*g*h^2*p^2*q^3*log(d) + f^2*g*h^2*p^2*q^2*log(c))*a*b^3 + (f^2*g*h^2*p^2*q^4*log(d)^2 + 2*f^2*g*h^2*p^2*q^3*log(c)*log(d) + f^2*g*h^2*p^2*q^2*log(c)^2)*b^4)*x^2 + (b^4*f^2*h^3*p^2*q^2*x^3 + 3*b^4*f^2*g*h^2*p^2*q^2*x^2 + 3*b^4*f^2*g^2*h*p^2*q^2*x + b^4*f^2*g^3*p^2*q^2)*log(((f*x + e)^p)^q)^2 + 3*(a^2*b^2*f^2*g^2*h*p^2*q^2 + 2*(f^2*g^2*h*p^2*q^3*log(d) + f^2*g^2*h*p^2*q^2*log(c))*a*b^3 + (f^2*g^2*h*p^2*q^4*log(d)^2 + 2*f^2*g^2*h*p^2*q^3*log(c)*log(d) + f^2*g^2*h*p^2*q^2*log(c)^2)*b^4)*x + 2*(a*b^3*f^2*g^3*p^2*q^2 + (f^2*g^3*p^2*q^3*log(d) + f^2*g^3*p^2*q^2*log(c))*b^4 + (a*b^3*f^2*h^3*p^2*q^2 + (f^2*h^3*p^2*q^3*log(d) + f^2*h^3*p^2*q^2*log(c))*b^4)*x^3 + 3*(a*b^3*f^2*g*h^2*p^2*q^2 + (f^2*g*h^2*p^2*q^3*log(d) + f^2*g*h^2*p^2*q^2*log(c))*b^4)*x^2 + 3*(a*b^3*f^2*g^2*h*p^2*q^2 + (f^2*g^2*h*p^2*q^3*log(d) + f^2*g^2*h*p^2*q^2*log(c))*b^4)*x)*log(((f*x + e)^p)^q)) + integrate(1/2*(f^2*h^2*x^2 + f^2*g^2 - 6*e*f*g*h + 6*e^2*h^2 - 2*(2*f^2*g*h - 3*e*f*h^2)*x)/(a*b^2*f^2*g^4*p^2*q^2 + (a*b^2*f^2*h^4*p^2*q^2 + (f^2*h^4*p^2*q^3*log(d) + f^2*h^4*p^2*q^2*log(c))*b^3)*x^4 + (f^2*g^4*p^2*q^3*log(d) + f^2*g^4*p^2*q^2*log(c))*b^3 + 4*(a*b^2*f^2*g*h^3*p^2*q^2 + (f^2*g*h^3*p^2*q^3*log(d) + f^2*g*h^3*p^2*q^2*log(c))*b^3)*x^3 + 6*(a*b^2*f^2*g^2*h^2*p^2*q^2 + (f^2*g^2*h^2*p^2*q^3*log(d) + f^2*g^2*h^2*p^2*q^2*log(c))*b^3)*x^2 + 4*(a*b^2*f^2*g^3*h*p^2*q^2 + (f^2*g^3*h*p^2*q^3*log(d) + f^2*g^3*h*p^2*q^2*log(c))*b^3)*x + (b^3*f^2*h^4*p^2*q^2*x^4 + 4*b^3*f^2*g*h^3*p^2*q^2*x^3 + 6*b^3*f^2*g^2*h^2*p^2*q^2*x^2 + 4*b^3*f^2*g^3*h*p^2*q^2*x + b^3*f^2*g^4*p^2*q^2)*log(((f*x + e)^p)^q)), x)","F",0
460,0,0,0,0.000000," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""maxima"")","\int {\left(h x + g\right)}^{2} \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate((h*x + g)^2*sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
461,0,0,0,0.000000," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""maxima"")","\int {\left(h x + g\right)} \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate((h*x + g)*sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
462,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
463,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(1/2)/(h*x+g),x, algorithm=""maxima"")","\int \frac{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}{h x + g}\,{d x}"," ",0,"integrate(sqrt(b*log(((f*x + e)^p*d)^q*c) + a)/(h*x + g), x)","F",0
464,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(1/2)/(h*x+g)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}{{\left(h x + g\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(b*log(((f*x + e)^p*d)^q*c) + a)/(h*x + g)^2, x)","F",0
465,0,0,0,0.000000," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""maxima"")","\int {\left(h x + g\right)}^{2} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((h*x + g)^2*(b*log(((f*x + e)^p*d)^q*c) + a)^(3/2), x)","F",0
466,0,0,0,0.000000," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""maxima"")","\int {\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)^(3/2), x)","F",0
467,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""maxima"")","\int {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^(3/2), x)","F",0
468,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(3/2)/(h*x+g),x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}}{h x + g}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^(3/2)/(h*x + g), x)","F",0
469,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(3/2)/(h*x+g)^2,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}}{{\left(h x + g\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^(3/2)/(h*x + g)^2, x)","F",0
470,0,0,0,0.000000," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(h x + g\right)}^{2}}{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate((h*x + g)^2/sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
471,0,0,0,0.000000," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""maxima"")","\int \frac{h x + g}{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate((h*x + g)/sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
472,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
473,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(h x + g\right)} \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate(1/((h*x + g)*sqrt(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
474,0,0,0,0.000000," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(h x + g\right)}^{2}}{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((h*x + g)^2/(b*log(((f*x + e)^p*d)^q*c) + a)^(3/2), x)","F",0
475,0,0,0,0.000000," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""maxima"")","\int \frac{h x + g}{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((h*x + g)/(b*log(((f*x + e)^p*d)^q*c) + a)^(3/2), x)","F",0
476,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^(-3/2), x)","F",0
477,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)^(3/2)), x)","F",0
478,0,0,0,0.000000," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(h x + g\right)}^{2}}{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((h*x + g)^2/(b*log(((f*x + e)^p*d)^q*c) + a)^(5/2), x)","F",0
479,0,0,0,0.000000," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(5/2),x, algorithm=""maxima"")","\int \frac{h x + g}{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((h*x + g)/(b*log(((f*x + e)^p*d)^q*c) + a)^(5/2), x)","F",0
480,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^(-5/2), x)","F",0
481,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)^(5/2)), x)","F",0
482,-2,0,0,0.000000," ","integrate((h*x+g)^(3/2)*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(e*h-f*g>0)', see `assume?` for more details)Is e*h-f*g positive or negative?","F(-2)",0
483,-2,0,0,0.000000," ","integrate((h*x+g)^(1/2)*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(e*h-f*g>0)', see `assume?` for more details)Is e*h-f*g positive or negative?","F(-2)",0
484,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(e*h-f*g>0)', see `assume?` for more details)Is e*h-f*g positive or negative?","F(-2)",0
485,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(e*h-f*g>0)', see `assume?` for more details)Is e*h-f*g positive or negative?","F(-2)",0
486,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(e*h-f*g>0)', see `assume?` for more details)Is e*h-f*g positive or negative?","F(-2)",0
487,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(e*h-f*g>0)', see `assume?` for more details)Is e*h-f*g positive or negative?","F(-2)",0
488,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(9/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(e*h-f*g>0)', see `assume?` for more details)Is e*h-f*g positive or negative?","F(-2)",0
489,-2,0,0,0.000000," ","integrate((h*x+g)^(3/2)*(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(e*h-f*g>0)', see `assume?` for more details)Is e*h-f*g positive or negative?","F(-2)",0
490,-2,0,0,0.000000," ","integrate((h*x+g)^(1/2)*(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(e*h-f*g>0)', see `assume?` for more details)Is e*h-f*g positive or negative?","F(-2)",0
491,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(e*h-f*g>0)', see `assume?` for more details)Is e*h-f*g positive or negative?","F(-2)",0
492,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(e*h-f*g>0)', see `assume?` for more details)Is e*h-f*g positive or negative?","F(-2)",0
493,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^(5/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(e*h-f*g>0)', see `assume?` for more details)Is e*h-f*g positive or negative?","F(-2)",0
494,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^(7/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(e*h-f*g>0)', see `assume?` for more details)Is e*h-f*g positive or negative?","F(-2)",0
495,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^(9/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(e*h-f*g>0)', see `assume?` for more details)Is e*h-f*g positive or negative?","F(-2)",0
496,0,0,0,0.000000," ","integrate((h*x+g)^(3/2)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\int \frac{{\left(h x + g\right)}^{\frac{3}{2}}}{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate((h*x + g)^(3/2)/(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
497,0,0,0,0.000000," ","integrate((h*x+g)^(1/2)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\int \frac{\sqrt{h x + g}}{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate(sqrt(h*x + g)/(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
498,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{h x + g} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
499,0,0,0,0.000000," ","integrate(1/(h*x+g)^(3/2)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\int \frac{1}{{\left(h x + g\right)}^{\frac{3}{2}} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((h*x + g)^(3/2)*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
500,0,0,0,0.000000," ","integrate((h*x+g)^(1/2)*(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""maxima"")","\int \sqrt{h x + g} \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate(sqrt(h*x + g)*sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
501,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}{\sqrt{h x + g}}\,{d x}"," ",0,"integrate(sqrt(b*log(((f*x + e)^p*d)^q*c) + a)/sqrt(h*x + g), x)","F",0
502,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(1/2)/(h*x+g)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}{{\left(h x + g\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*log(((f*x + e)^p*d)^q*c) + a)/(h*x + g)^(3/2), x)","F",0
503,0,0,0,0.000000," ","integrate((h*x+g)^(1/2)/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{h x + g}}{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate(sqrt(h*x + g)/sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
504,0,0,0,0.000000," ","integrate(1/(h*x+g)^(1/2)/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{h x + g} \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate(1/(sqrt(h*x + g)*sqrt(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
505,0,0,0,0.000000," ","integrate(1/(h*x+g)^(3/2)/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(h x + g\right)}^{\frac{3}{2}} \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate(1/((h*x + g)^(3/2)*sqrt(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
506,0,0,0,0.000000," ","integrate((h*x+g)^m*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","b {\left(\frac{{\left(h x + g\right)} {\left(h x + g\right)}^{m} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h {\left(m + 1\right)}} + \int -\frac{{\left(f g p q - e h {\left(m + 1\right)} \log\left(c\right) - {\left(m q + q\right)} e h \log\left(d\right) + {\left(f h p q - f h {\left(m + 1\right)} \log\left(c\right) - {\left(m q + q\right)} f h \log\left(d\right)\right)} x\right)} {\left(h x + g\right)}^{m}}{f h {\left(m + 1\right)} x + e h {\left(m + 1\right)}}\,{d x}\right)} + \frac{{\left(h x + g\right)}^{m + 1} a}{h {\left(m + 1\right)}}"," ",0,"b*((h*x + g)*(h*x + g)^m*log(((f*x + e)^p)^q)/(h*(m + 1)) + integrate(-(f*g*p*q - e*h*(m + 1)*log(c) - (m*q + q)*e*h*log(d) + (f*h*p*q - f*h*(m + 1)*log(c) - (m*q + q)*f*h*log(d))*x)*(h*x + g)^m/(f*h*(m + 1)*x + e*h*(m + 1)), x)) + (h*x + g)^(m + 1)*a/(h*(m + 1))","F",0
507,0,0,0,0.000000," ","integrate((h*x+g)^m/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\int \frac{{\left(h x + g\right)}^{m}}{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate((h*x + g)^m/(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
508,0,0,0,0.000000," ","integrate((h*x+g)^m/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","-\frac{{\left(f x + e\right)} {\left(h x + g\right)}^{m}}{b^{2} f p q \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + a b f p q + {\left(f p q^{2} \log\left(d\right) + f p q \log\left(c\right)\right)} b^{2}} + \int \frac{{\left(f h {\left(m + 1\right)} x + e h m + f g\right)} {\left(h x + g\right)}^{m}}{a b f g p q + {\left(f g p q^{2} \log\left(d\right) + f g p q \log\left(c\right)\right)} b^{2} + {\left(a b f h p q + {\left(f h p q^{2} \log\left(d\right) + f h p q \log\left(c\right)\right)} b^{2}\right)} x + {\left(b^{2} f h p q x + b^{2} f g p q\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}\,{d x}"," ",0,"-(f*x + e)*(h*x + g)^m/(b^2*f*p*q*log(((f*x + e)^p)^q) + a*b*f*p*q + (f*p*q^2*log(d) + f*p*q*log(c))*b^2) + integrate((f*h*(m + 1)*x + e*h*m + f*g)*(h*x + g)^m/(a*b*f*g*p*q + (f*g*p*q^2*log(d) + f*g*p*q*log(c))*b^2 + (a*b*f*h*p*q + (f*h*p*q^2*log(d) + f*h*p*q*log(c))*b^2)*x + (b^2*f*h*p*q*x + b^2*f*g*p*q)*log(((f*x + e)^p)^q)), x)","F",0
509,0,0,0,0.000000," ","integrate((h*x+g)^m*(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""maxima"")","\int {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}} {\left(h x + g\right)}^{m}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^(3/2)*(h*x + g)^m, x)","F",0
510,0,0,0,0.000000," ","integrate((h*x+g)^m*(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a} {\left(h x + g\right)}^{m}\,{d x}"," ",0,"integrate(sqrt(b*log(((f*x + e)^p*d)^q*c) + a)*(h*x + g)^m, x)","F",0
511,0,0,0,0.000000," ","integrate((h*x+g)^m/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(h x + g\right)}^{m}}{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate((h*x + g)^m/sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
512,0,0,0,0.000000," ","integrate((h*x+g)^m/(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(h x + g\right)}^{m}}{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((h*x + g)^m/(b*log(((f*x + e)^p*d)^q*c) + a)^(3/2), x)","F",0
513,-2,0,0,0.000000," ","integrate((h*x+g)^m*(a+b*log(c*(d*(f*x+e)^p)^q))^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
514,-2,0,0,0.000000," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
515,-2,0,0,0.000000," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q))^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
516,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^n,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
517,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^n/(h*x+g),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
518,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x^2+g),x, algorithm=""maxima"")","b \int \frac{q \log\left(d\right) + \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + \log\left(c\right)}{h x^{2} + g}\,{d x} + \frac{a \arctan\left(\frac{h x}{\sqrt{g h}}\right)}{\sqrt{g h}}"," ",0,"b*integrate((q*log(d) + log(((f*x + e)^p)^q) + log(c))/(h*x^2 + g), x) + a*arctan(h*x/sqrt(g*h))/sqrt(g*h)","F",0
519,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x^2+2)^(1/2),x, algorithm=""maxima"")","b \int \frac{q \log\left(d\right) + \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + \log\left(c\right)}{\sqrt{h x^{2} + 2}}\,{d x} + \frac{a \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{2} \sqrt{h} x\right)}{\sqrt{h}}"," ",0,"b*integrate((q*log(d) + log(((f*x + e)^p)^q) + log(c))/sqrt(h*x^2 + 2), x) + a*arcsinh(1/2*sqrt(2)*sqrt(h)*x)/sqrt(h)","F",0
520,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x^2+g)^(1/2),x, algorithm=""maxima"")","b \int \frac{q \log\left(d\right) + \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + \log\left(c\right)}{\sqrt{h x^{2} + g}}\,{d x} + \frac{a \operatorname{arsinh}\left(\frac{h x}{\sqrt{g h}}\right)}{\sqrt{h}}"," ",0,"b*integrate((q*log(d) + log(((f*x + e)^p)^q) + log(c))/sqrt(h*x^2 + g), x) + a*arcsinh(h*x/sqrt(g*h))/sqrt(h)","F",0
521,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(-h*x+2)^(1/2)/(h*x+2)^(1/2),x, algorithm=""maxima"")","b \int \frac{q \log\left(d\right) + \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + \log\left(c\right)}{\sqrt{h x + 2} \sqrt{-h x + 2}}\,{d x} + \frac{a \arcsin\left(\frac{1}{2} \, h x\right)}{h}"," ",0,"b*integrate((q*log(d) + log(((f*x + e)^p)^q) + log(c))/(sqrt(h*x + 2)*sqrt(-h*x + 2)), x) + a*arcsin(1/2*h*x)/h","F",0
522,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(-h*x+g)^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","b \int \frac{q \log\left(d\right) + \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + \log\left(c\right)}{\sqrt{h x + g} \sqrt{-h x + g}}\,{d x} + \frac{a \arcsin\left(\frac{h x}{g}\right)}{h}"," ",0,"b*integrate((q*log(d) + log(((f*x + e)^p)^q) + log(c))/(sqrt(h*x + g)*sqrt(-h*x + g)), x) + a*arcsin(h*x/g)/h","F",0
523,0,0,0,0.000000," ","integrate((j*x+i)^3*(a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g),x, algorithm=""maxima"")","3 \, a i^{2} j {\left(\frac{x}{h} - \frac{g \log\left(h x + g\right)}{h^{2}}\right)} - \frac{1}{6} \, a j^{3} {\left(\frac{6 \, g^{3} \log\left(h x + g\right)}{h^{4}} - \frac{2 \, h^{2} x^{3} - 3 \, g h x^{2} + 6 \, g^{2} x}{h^{3}}\right)} + \frac{3}{2} \, a i j^{2} {\left(\frac{2 \, g^{2} \log\left(h x + g\right)}{h^{3}} + \frac{h x^{2} - 2 \, g x}{h^{2}}\right)} + \frac{a i^{3} \log\left(h x + g\right)}{h} + \int \frac{{\left(j^{3} q \log\left(d\right) + j^{3} \log\left(c\right)\right)} b x^{3} + 3 \, {\left(i j^{2} q \log\left(d\right) + i j^{2} \log\left(c\right)\right)} b x^{2} + 3 \, {\left(i^{2} j q \log\left(d\right) + i^{2} j \log\left(c\right)\right)} b x + {\left(i^{3} q \log\left(d\right) + i^{3} \log\left(c\right)\right)} b + {\left(b j^{3} x^{3} + 3 \, b i j^{2} x^{2} + 3 \, b i^{2} j x + b i^{3}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h x + g}\,{d x}"," ",0,"3*a*i^2*j*(x/h - g*log(h*x + g)/h^2) - 1/6*a*j^3*(6*g^3*log(h*x + g)/h^4 - (2*h^2*x^3 - 3*g*h*x^2 + 6*g^2*x)/h^3) + 3/2*a*i*j^2*(2*g^2*log(h*x + g)/h^3 + (h*x^2 - 2*g*x)/h^2) + a*i^3*log(h*x + g)/h + integrate(((j^3*q*log(d) + j^3*log(c))*b*x^3 + 3*(i*j^2*q*log(d) + i*j^2*log(c))*b*x^2 + 3*(i^2*j*q*log(d) + i^2*j*log(c))*b*x + (i^3*q*log(d) + i^3*log(c))*b + (b*j^3*x^3 + 3*b*i*j^2*x^2 + 3*b*i^2*j*x + b*i^3)*log(((f*x + e)^p)^q))/(h*x + g), x)","F",0
524,0,0,0,0.000000," ","integrate((j*x+i)^2*(a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g),x, algorithm=""maxima"")","2 \, a i j {\left(\frac{x}{h} - \frac{g \log\left(h x + g\right)}{h^{2}}\right)} + \frac{1}{2} \, a j^{2} {\left(\frac{2 \, g^{2} \log\left(h x + g\right)}{h^{3}} + \frac{h x^{2} - 2 \, g x}{h^{2}}\right)} + \frac{a i^{2} \log\left(h x + g\right)}{h} + \int \frac{{\left(j^{2} q \log\left(d\right) + j^{2} \log\left(c\right)\right)} b x^{2} + 2 \, {\left(i j q \log\left(d\right) + i j \log\left(c\right)\right)} b x + {\left(i^{2} q \log\left(d\right) + i^{2} \log\left(c\right)\right)} b + {\left(b j^{2} x^{2} + 2 \, b i j x + b i^{2}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h x + g}\,{d x}"," ",0,"2*a*i*j*(x/h - g*log(h*x + g)/h^2) + 1/2*a*j^2*(2*g^2*log(h*x + g)/h^3 + (h*x^2 - 2*g*x)/h^2) + a*i^2*log(h*x + g)/h + integrate(((j^2*q*log(d) + j^2*log(c))*b*x^2 + 2*(i*j*q*log(d) + i*j*log(c))*b*x + (i^2*q*log(d) + i^2*log(c))*b + (b*j^2*x^2 + 2*b*i*j*x + b*i^2)*log(((f*x + e)^p)^q))/(h*x + g), x)","F",0
525,0,0,0,0.000000," ","integrate((j*x+i)*(a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g),x, algorithm=""maxima"")","a j {\left(\frac{x}{h} - \frac{g \log\left(h x + g\right)}{h^{2}}\right)} + \frac{a i \log\left(h x + g\right)}{h} + \int \frac{{\left(j q \log\left(d\right) + j \log\left(c\right)\right)} b x + {\left(i q \log\left(d\right) + i \log\left(c\right)\right)} b + {\left(b j x + b i\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h x + g}\,{d x}"," ",0,"a*j*(x/h - g*log(h*x + g)/h^2) + a*i*log(h*x + g)/h + integrate(((j*q*log(d) + j*log(c))*b*x + (i*q*log(d) + i*log(c))*b + (b*j*x + b*i)*log(((f*x + e)^p)^q))/(h*x + g), x)","F",0
526,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g),x, algorithm=""maxima"")","b \int \frac{q \log\left(d\right) + \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + \log\left(c\right)}{h x + g}\,{d x} + \frac{a \log\left(h x + g\right)}{h}"," ",0,"b*integrate((q*log(d) + log(((f*x + e)^p)^q) + log(c))/(h*x + g), x) + a*log(h*x + g)/h","F",0
527,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)/(j*x+i),x, algorithm=""maxima"")","a {\left(\frac{\log\left(h x + g\right)}{h i - g j} - \frac{\log\left(j x + i\right)}{h i - g j}\right)} + b \int \frac{q \log\left(d\right) + \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + \log\left(c\right)}{h j x^{2} + g i + {\left(h i + g j\right)} x}\,{d x}"," ",0,"a*(log(h*x + g)/(h*i - g*j) - log(j*x + i)/(h*i - g*j)) + b*integrate((q*log(d) + log(((f*x + e)^p)^q) + log(c))/(h*j*x^2 + g*i + (h*i + g*j)*x), x)","F",0
528,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)/(j*x+i)^2,x, algorithm=""maxima"")","a {\left(\frac{h \log\left(h x + g\right)}{h^{2} i^{2} - 2 \, g h i j + g^{2} j^{2}} - \frac{h \log\left(j x + i\right)}{h^{2} i^{2} - 2 \, g h i j + g^{2} j^{2}} + \frac{1}{h i^{2} - g i j + {\left(h i j - g j^{2}\right)} x}\right)} + b \int \frac{q \log\left(d\right) + \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + \log\left(c\right)}{h j^{2} x^{3} + g i^{2} + {\left(2 \, h i j + g j^{2}\right)} x^{2} + {\left(h i^{2} + 2 \, g i j\right)} x}\,{d x}"," ",0,"a*(h*log(h*x + g)/(h^2*i^2 - 2*g*h*i*j + g^2*j^2) - h*log(j*x + i)/(h^2*i^2 - 2*g*h*i*j + g^2*j^2) + 1/(h*i^2 - g*i*j + (h*i*j - g*j^2)*x)) + b*integrate((q*log(d) + log(((f*x + e)^p)^q) + log(c))/(h*j^2*x^3 + g*i^2 + (2*h*i*j + g*j^2)*x^2 + (h*i^2 + 2*g*i*j)*x), x)","F",0
529,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)/(j*x+i)^3,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{2 \, h^{2} \log\left(h x + g\right)}{h^{3} i^{3} - 3 \, g h^{2} i^{2} j + 3 \, g^{2} h i j^{2} - g^{3} j^{3}} - \frac{2 \, h^{2} \log\left(j x + i\right)}{h^{3} i^{3} - 3 \, g h^{2} i^{2} j + 3 \, g^{2} h i j^{2} - g^{3} j^{3}} + \frac{2 \, h j x + 3 \, h i - g j}{h^{2} i^{4} - 2 \, g h i^{3} j + g^{2} i^{2} j^{2} + {\left(h^{2} i^{2} j^{2} - 2 \, g h i j^{3} + g^{2} j^{4}\right)} x^{2} + 2 \, {\left(h^{2} i^{3} j - 2 \, g h i^{2} j^{2} + g^{2} i j^{3}\right)} x}\right)} a + b \int \frac{q \log\left(d\right) + \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right) + \log\left(c\right)}{h j^{3} x^{4} + g i^{3} + {\left(3 \, h i j^{2} + g j^{3}\right)} x^{3} + 3 \, {\left(h i^{2} j + g i j^{2}\right)} x^{2} + {\left(h i^{3} + 3 \, g i^{2} j\right)} x}\,{d x}"," ",0,"1/2*(2*h^2*log(h*x + g)/(h^3*i^3 - 3*g*h^2*i^2*j + 3*g^2*h*i*j^2 - g^3*j^3) - 2*h^2*log(j*x + i)/(h^3*i^3 - 3*g*h^2*i^2*j + 3*g^2*h*i*j^2 - g^3*j^3) + (2*h*j*x + 3*h*i - g*j)/(h^2*i^4 - 2*g*h*i^3*j + g^2*i^2*j^2 + (h^2*i^2*j^2 - 2*g*h*i*j^3 + g^2*j^4)*x^2 + 2*(h^2*i^3*j - 2*g*h*i^2*j^2 + g^2*i*j^3)*x))*a + b*integrate((q*log(d) + log(((f*x + e)^p)^q) + log(c))/(h*j^3*x^4 + g*i^3 + (3*h*i*j^2 + g*j^3)*x^3 + 3*(h*i^2*j + g*i*j^2)*x^2 + (h*i^3 + 3*g*i^2*j)*x), x)","F",0
530,0,0,0,0.000000," ","integrate((j*x+i)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g),x, algorithm=""maxima"")","2 \, a^{2} i j {\left(\frac{x}{h} - \frac{g \log\left(h x + g\right)}{h^{2}}\right)} + \frac{1}{2} \, a^{2} j^{2} {\left(\frac{2 \, g^{2} \log\left(h x + g\right)}{h^{3}} + \frac{h x^{2} - 2 \, g x}{h^{2}}\right)} + \frac{a^{2} i^{2} \log\left(h x + g\right)}{h} + \int \frac{2 \, {\left(i^{2} q \log\left(d\right) + i^{2} \log\left(c\right)\right)} a b + {\left(i^{2} q^{2} \log\left(d\right)^{2} + 2 \, i^{2} q \log\left(c\right) \log\left(d\right) + i^{2} \log\left(c\right)^{2}\right)} b^{2} + {\left(2 \, {\left(j^{2} q \log\left(d\right) + j^{2} \log\left(c\right)\right)} a b + {\left(j^{2} q^{2} \log\left(d\right)^{2} + 2 \, j^{2} q \log\left(c\right) \log\left(d\right) + j^{2} \log\left(c\right)^{2}\right)} b^{2}\right)} x^{2} + {\left(b^{2} j^{2} x^{2} + 2 \, b^{2} i j x + b^{2} i^{2}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + 2 \, {\left(2 \, {\left(i j q \log\left(d\right) + i j \log\left(c\right)\right)} a b + {\left(i j q^{2} \log\left(d\right)^{2} + 2 \, i j q \log\left(c\right) \log\left(d\right) + i j \log\left(c\right)^{2}\right)} b^{2}\right)} x + 2 \, {\left(a b i^{2} + {\left(i^{2} q \log\left(d\right) + i^{2} \log\left(c\right)\right)} b^{2} + {\left(a b j^{2} + {\left(j^{2} q \log\left(d\right) + j^{2} \log\left(c\right)\right)} b^{2}\right)} x^{2} + 2 \, {\left(a b i j + {\left(i j q \log\left(d\right) + i j \log\left(c\right)\right)} b^{2}\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h x + g}\,{d x}"," ",0,"2*a^2*i*j*(x/h - g*log(h*x + g)/h^2) + 1/2*a^2*j^2*(2*g^2*log(h*x + g)/h^3 + (h*x^2 - 2*g*x)/h^2) + a^2*i^2*log(h*x + g)/h + integrate((2*(i^2*q*log(d) + i^2*log(c))*a*b + (i^2*q^2*log(d)^2 + 2*i^2*q*log(c)*log(d) + i^2*log(c)^2)*b^2 + (2*(j^2*q*log(d) + j^2*log(c))*a*b + (j^2*q^2*log(d)^2 + 2*j^2*q*log(c)*log(d) + j^2*log(c)^2)*b^2)*x^2 + (b^2*j^2*x^2 + 2*b^2*i*j*x + b^2*i^2)*log(((f*x + e)^p)^q)^2 + 2*(2*(i*j*q*log(d) + i*j*log(c))*a*b + (i*j*q^2*log(d)^2 + 2*i*j*q*log(c)*log(d) + i*j*log(c)^2)*b^2)*x + 2*(a*b*i^2 + (i^2*q*log(d) + i^2*log(c))*b^2 + (a*b*j^2 + (j^2*q*log(d) + j^2*log(c))*b^2)*x^2 + 2*(a*b*i*j + (i*j*q*log(d) + i*j*log(c))*b^2)*x)*log(((f*x + e)^p)^q))/(h*x + g), x)","F",0
531,0,0,0,0.000000," ","integrate((j*x+i)*(a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g),x, algorithm=""maxima"")","a^{2} j {\left(\frac{x}{h} - \frac{g \log\left(h x + g\right)}{h^{2}}\right)} + \frac{a^{2} i \log\left(h x + g\right)}{h} + \int \frac{2 \, {\left(i q \log\left(d\right) + i \log\left(c\right)\right)} a b + {\left(i q^{2} \log\left(d\right)^{2} + 2 \, i q \log\left(c\right) \log\left(d\right) + i \log\left(c\right)^{2}\right)} b^{2} + {\left(b^{2} j x + b^{2} i\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + {\left(2 \, {\left(j q \log\left(d\right) + j \log\left(c\right)\right)} a b + {\left(j q^{2} \log\left(d\right)^{2} + 2 \, j q \log\left(c\right) \log\left(d\right) + j \log\left(c\right)^{2}\right)} b^{2}\right)} x + 2 \, {\left({\left(i q \log\left(d\right) + i \log\left(c\right)\right)} b^{2} + a b i + {\left({\left(j q \log\left(d\right) + j \log\left(c\right)\right)} b^{2} + a b j\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h x + g}\,{d x}"," ",0,"a^2*j*(x/h - g*log(h*x + g)/h^2) + a^2*i*log(h*x + g)/h + integrate((2*(i*q*log(d) + i*log(c))*a*b + (i*q^2*log(d)^2 + 2*i*q*log(c)*log(d) + i*log(c)^2)*b^2 + (b^2*j*x + b^2*i)*log(((f*x + e)^p)^q)^2 + (2*(j*q*log(d) + j*log(c))*a*b + (j*q^2*log(d)^2 + 2*j*q*log(c)*log(d) + j*log(c)^2)*b^2)*x + 2*((i*q*log(d) + i*log(c))*b^2 + a*b*i + ((j*q*log(d) + j*log(c))*b^2 + a*b*j)*x)*log(((f*x + e)^p)^q))/(h*x + g), x)","F",0
532,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g),x, algorithm=""maxima"")","\frac{a^{2} \log\left(h x + g\right)}{h} + \int \frac{b^{2} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + 2 \, {\left(q \log\left(d\right) + \log\left(c\right)\right)} a b + {\left(q^{2} \log\left(d\right)^{2} + 2 \, q \log\left(c\right) \log\left(d\right) + \log\left(c\right)^{2}\right)} b^{2} + 2 \, {\left({\left(q \log\left(d\right) + \log\left(c\right)\right)} b^{2} + a b\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h x + g}\,{d x}"," ",0,"a^2*log(h*x + g)/h + integrate((b^2*log(((f*x + e)^p)^q)^2 + 2*(q*log(d) + log(c))*a*b + (q^2*log(d)^2 + 2*q*log(c)*log(d) + log(c)^2)*b^2 + 2*((q*log(d) + log(c))*b^2 + a*b)*log(((f*x + e)^p)^q))/(h*x + g), x)","F",0
533,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)/(j*x+i),x, algorithm=""maxima"")","a^{2} {\left(\frac{\log\left(h x + g\right)}{h i - g j} - \frac{\log\left(j x + i\right)}{h i - g j}\right)} + \int \frac{b^{2} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + 2 \, {\left(q \log\left(d\right) + \log\left(c\right)\right)} a b + {\left(q^{2} \log\left(d\right)^{2} + 2 \, q \log\left(c\right) \log\left(d\right) + \log\left(c\right)^{2}\right)} b^{2} + 2 \, {\left({\left(q \log\left(d\right) + \log\left(c\right)\right)} b^{2} + a b\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h j x^{2} + g i + {\left(h i + g j\right)} x}\,{d x}"," ",0,"a^2*(log(h*x + g)/(h*i - g*j) - log(j*x + i)/(h*i - g*j)) + integrate((b^2*log(((f*x + e)^p)^q)^2 + 2*(q*log(d) + log(c))*a*b + (q^2*log(d)^2 + 2*q*log(c)*log(d) + log(c)^2)*b^2 + 2*((q*log(d) + log(c))*b^2 + a*b)*log(((f*x + e)^p)^q))/(h*j*x^2 + g*i + (h*i + g*j)*x), x)","F",0
534,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)/(j*x+i)^2,x, algorithm=""maxima"")","a^{2} {\left(\frac{h \log\left(h x + g\right)}{h^{2} i^{2} - 2 \, g h i j + g^{2} j^{2}} - \frac{h \log\left(j x + i\right)}{h^{2} i^{2} - 2 \, g h i j + g^{2} j^{2}} + \frac{1}{h i^{2} - g i j + {\left(h i j - g j^{2}\right)} x}\right)} + \int \frac{b^{2} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + 2 \, {\left(q \log\left(d\right) + \log\left(c\right)\right)} a b + {\left(q^{2} \log\left(d\right)^{2} + 2 \, q \log\left(c\right) \log\left(d\right) + \log\left(c\right)^{2}\right)} b^{2} + 2 \, {\left({\left(q \log\left(d\right) + \log\left(c\right)\right)} b^{2} + a b\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h j^{2} x^{3} + g i^{2} + {\left(2 \, h i j + g j^{2}\right)} x^{2} + {\left(h i^{2} + 2 \, g i j\right)} x}\,{d x}"," ",0,"a^2*(h*log(h*x + g)/(h^2*i^2 - 2*g*h*i*j + g^2*j^2) - h*log(j*x + i)/(h^2*i^2 - 2*g*h*i*j + g^2*j^2) + 1/(h*i^2 - g*i*j + (h*i*j - g*j^2)*x)) + integrate((b^2*log(((f*x + e)^p)^q)^2 + 2*(q*log(d) + log(c))*a*b + (q^2*log(d)^2 + 2*q*log(c)*log(d) + log(c)^2)*b^2 + 2*((q*log(d) + log(c))*b^2 + a*b)*log(((f*x + e)^p)^q))/(h*j^2*x^3 + g*i^2 + (2*h*i*j + g*j^2)*x^2 + (h*i^2 + 2*g*i*j)*x), x)","F",0
535,0,0,0,0.000000," ","integrate((j*x+i)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g),x, algorithm=""maxima"")","2 \, a^{3} i j {\left(\frac{x}{h} - \frac{g \log\left(h x + g\right)}{h^{2}}\right)} + \frac{1}{2} \, a^{3} j^{2} {\left(\frac{2 \, g^{2} \log\left(h x + g\right)}{h^{3}} + \frac{h x^{2} - 2 \, g x}{h^{2}}\right)} + \frac{a^{3} i^{2} \log\left(h x + g\right)}{h} + \int \frac{3 \, {\left(i^{2} q \log\left(d\right) + i^{2} \log\left(c\right)\right)} a^{2} b + 3 \, {\left(i^{2} q^{2} \log\left(d\right)^{2} + 2 \, i^{2} q \log\left(c\right) \log\left(d\right) + i^{2} \log\left(c\right)^{2}\right)} a b^{2} + {\left(i^{2} q^{3} \log\left(d\right)^{3} + 3 \, i^{2} q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, i^{2} q \log\left(c\right)^{2} \log\left(d\right) + i^{2} \log\left(c\right)^{3}\right)} b^{3} + {\left(b^{3} j^{2} x^{2} + 2 \, b^{3} i j x + b^{3} i^{2}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{3} + {\left(3 \, {\left(j^{2} q \log\left(d\right) + j^{2} \log\left(c\right)\right)} a^{2} b + 3 \, {\left(j^{2} q^{2} \log\left(d\right)^{2} + 2 \, j^{2} q \log\left(c\right) \log\left(d\right) + j^{2} \log\left(c\right)^{2}\right)} a b^{2} + {\left(j^{2} q^{3} \log\left(d\right)^{3} + 3 \, j^{2} q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, j^{2} q \log\left(c\right)^{2} \log\left(d\right) + j^{2} \log\left(c\right)^{3}\right)} b^{3}\right)} x^{2} + 3 \, {\left(a b^{2} i^{2} + {\left(i^{2} q \log\left(d\right) + i^{2} \log\left(c\right)\right)} b^{3} + {\left(a b^{2} j^{2} + {\left(j^{2} q \log\left(d\right) + j^{2} \log\left(c\right)\right)} b^{3}\right)} x^{2} + 2 \, {\left(a b^{2} i j + {\left(i j q \log\left(d\right) + i j \log\left(c\right)\right)} b^{3}\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + 2 \, {\left(3 \, {\left(i j q \log\left(d\right) + i j \log\left(c\right)\right)} a^{2} b + 3 \, {\left(i j q^{2} \log\left(d\right)^{2} + 2 \, i j q \log\left(c\right) \log\left(d\right) + i j \log\left(c\right)^{2}\right)} a b^{2} + {\left(i j q^{3} \log\left(d\right)^{3} + 3 \, i j q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, i j q \log\left(c\right)^{2} \log\left(d\right) + i j \log\left(c\right)^{3}\right)} b^{3}\right)} x + 3 \, {\left(a^{2} b i^{2} + 2 \, {\left(i^{2} q \log\left(d\right) + i^{2} \log\left(c\right)\right)} a b^{2} + {\left(i^{2} q^{2} \log\left(d\right)^{2} + 2 \, i^{2} q \log\left(c\right) \log\left(d\right) + i^{2} \log\left(c\right)^{2}\right)} b^{3} + {\left(a^{2} b j^{2} + 2 \, {\left(j^{2} q \log\left(d\right) + j^{2} \log\left(c\right)\right)} a b^{2} + {\left(j^{2} q^{2} \log\left(d\right)^{2} + 2 \, j^{2} q \log\left(c\right) \log\left(d\right) + j^{2} \log\left(c\right)^{2}\right)} b^{3}\right)} x^{2} + 2 \, {\left(a^{2} b i j + 2 \, {\left(i j q \log\left(d\right) + i j \log\left(c\right)\right)} a b^{2} + {\left(i j q^{2} \log\left(d\right)^{2} + 2 \, i j q \log\left(c\right) \log\left(d\right) + i j \log\left(c\right)^{2}\right)} b^{3}\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h x + g}\,{d x}"," ",0,"2*a^3*i*j*(x/h - g*log(h*x + g)/h^2) + 1/2*a^3*j^2*(2*g^2*log(h*x + g)/h^3 + (h*x^2 - 2*g*x)/h^2) + a^3*i^2*log(h*x + g)/h + integrate((3*(i^2*q*log(d) + i^2*log(c))*a^2*b + 3*(i^2*q^2*log(d)^2 + 2*i^2*q*log(c)*log(d) + i^2*log(c)^2)*a*b^2 + (i^2*q^3*log(d)^3 + 3*i^2*q^2*log(c)*log(d)^2 + 3*i^2*q*log(c)^2*log(d) + i^2*log(c)^3)*b^3 + (b^3*j^2*x^2 + 2*b^3*i*j*x + b^3*i^2)*log(((f*x + e)^p)^q)^3 + (3*(j^2*q*log(d) + j^2*log(c))*a^2*b + 3*(j^2*q^2*log(d)^2 + 2*j^2*q*log(c)*log(d) + j^2*log(c)^2)*a*b^2 + (j^2*q^3*log(d)^3 + 3*j^2*q^2*log(c)*log(d)^2 + 3*j^2*q*log(c)^2*log(d) + j^2*log(c)^3)*b^3)*x^2 + 3*(a*b^2*i^2 + (i^2*q*log(d) + i^2*log(c))*b^3 + (a*b^2*j^2 + (j^2*q*log(d) + j^2*log(c))*b^3)*x^2 + 2*(a*b^2*i*j + (i*j*q*log(d) + i*j*log(c))*b^3)*x)*log(((f*x + e)^p)^q)^2 + 2*(3*(i*j*q*log(d) + i*j*log(c))*a^2*b + 3*(i*j*q^2*log(d)^2 + 2*i*j*q*log(c)*log(d) + i*j*log(c)^2)*a*b^2 + (i*j*q^3*log(d)^3 + 3*i*j*q^2*log(c)*log(d)^2 + 3*i*j*q*log(c)^2*log(d) + i*j*log(c)^3)*b^3)*x + 3*(a^2*b*i^2 + 2*(i^2*q*log(d) + i^2*log(c))*a*b^2 + (i^2*q^2*log(d)^2 + 2*i^2*q*log(c)*log(d) + i^2*log(c)^2)*b^3 + (a^2*b*j^2 + 2*(j^2*q*log(d) + j^2*log(c))*a*b^2 + (j^2*q^2*log(d)^2 + 2*j^2*q*log(c)*log(d) + j^2*log(c)^2)*b^3)*x^2 + 2*(a^2*b*i*j + 2*(i*j*q*log(d) + i*j*log(c))*a*b^2 + (i*j*q^2*log(d)^2 + 2*i*j*q*log(c)*log(d) + i*j*log(c)^2)*b^3)*x)*log(((f*x + e)^p)^q))/(h*x + g), x)","F",0
536,0,0,0,0.000000," ","integrate((j*x+i)*(a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g),x, algorithm=""maxima"")","a^{3} j {\left(\frac{x}{h} - \frac{g \log\left(h x + g\right)}{h^{2}}\right)} + \frac{a^{3} i \log\left(h x + g\right)}{h} + \int \frac{3 \, {\left(i q \log\left(d\right) + i \log\left(c\right)\right)} a^{2} b + 3 \, {\left(i q^{2} \log\left(d\right)^{2} + 2 \, i q \log\left(c\right) \log\left(d\right) + i \log\left(c\right)^{2}\right)} a b^{2} + {\left(i q^{3} \log\left(d\right)^{3} + 3 \, i q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, i q \log\left(c\right)^{2} \log\left(d\right) + i \log\left(c\right)^{3}\right)} b^{3} + {\left(b^{3} j x + b^{3} i\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{3} + 3 \, {\left({\left(i q \log\left(d\right) + i \log\left(c\right)\right)} b^{3} + a b^{2} i + {\left({\left(j q \log\left(d\right) + j \log\left(c\right)\right)} b^{3} + a b^{2} j\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + {\left(3 \, {\left(j q \log\left(d\right) + j \log\left(c\right)\right)} a^{2} b + 3 \, {\left(j q^{2} \log\left(d\right)^{2} + 2 \, j q \log\left(c\right) \log\left(d\right) + j \log\left(c\right)^{2}\right)} a b^{2} + {\left(j q^{3} \log\left(d\right)^{3} + 3 \, j q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, j q \log\left(c\right)^{2} \log\left(d\right) + j \log\left(c\right)^{3}\right)} b^{3}\right)} x + 3 \, {\left(2 \, {\left(i q \log\left(d\right) + i \log\left(c\right)\right)} a b^{2} + {\left(i q^{2} \log\left(d\right)^{2} + 2 \, i q \log\left(c\right) \log\left(d\right) + i \log\left(c\right)^{2}\right)} b^{3} + a^{2} b i + {\left(2 \, {\left(j q \log\left(d\right) + j \log\left(c\right)\right)} a b^{2} + {\left(j q^{2} \log\left(d\right)^{2} + 2 \, j q \log\left(c\right) \log\left(d\right) + j \log\left(c\right)^{2}\right)} b^{3} + a^{2} b j\right)} x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h x + g}\,{d x}"," ",0,"a^3*j*(x/h - g*log(h*x + g)/h^2) + a^3*i*log(h*x + g)/h + integrate((3*(i*q*log(d) + i*log(c))*a^2*b + 3*(i*q^2*log(d)^2 + 2*i*q*log(c)*log(d) + i*log(c)^2)*a*b^2 + (i*q^3*log(d)^3 + 3*i*q^2*log(c)*log(d)^2 + 3*i*q*log(c)^2*log(d) + i*log(c)^3)*b^3 + (b^3*j*x + b^3*i)*log(((f*x + e)^p)^q)^3 + 3*((i*q*log(d) + i*log(c))*b^3 + a*b^2*i + ((j*q*log(d) + j*log(c))*b^3 + a*b^2*j)*x)*log(((f*x + e)^p)^q)^2 + (3*(j*q*log(d) + j*log(c))*a^2*b + 3*(j*q^2*log(d)^2 + 2*j*q*log(c)*log(d) + j*log(c)^2)*a*b^2 + (j*q^3*log(d)^3 + 3*j*q^2*log(c)*log(d)^2 + 3*j*q*log(c)^2*log(d) + j*log(c)^3)*b^3)*x + 3*(2*(i*q*log(d) + i*log(c))*a*b^2 + (i*q^2*log(d)^2 + 2*i*q*log(c)*log(d) + i*log(c)^2)*b^3 + a^2*b*i + (2*(j*q*log(d) + j*log(c))*a*b^2 + (j*q^2*log(d)^2 + 2*j*q*log(c)*log(d) + j*log(c)^2)*b^3 + a^2*b*j)*x)*log(((f*x + e)^p)^q))/(h*x + g), x)","F",0
537,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g),x, algorithm=""maxima"")","\frac{a^{3} \log\left(h x + g\right)}{h} + \int \frac{b^{3} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{3} + 3 \, {\left(q \log\left(d\right) + \log\left(c\right)\right)} a^{2} b + 3 \, {\left(q^{2} \log\left(d\right)^{2} + 2 \, q \log\left(c\right) \log\left(d\right) + \log\left(c\right)^{2}\right)} a b^{2} + {\left(q^{3} \log\left(d\right)^{3} + 3 \, q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, q \log\left(c\right)^{2} \log\left(d\right) + \log\left(c\right)^{3}\right)} b^{3} + 3 \, {\left({\left(q \log\left(d\right) + \log\left(c\right)\right)} b^{3} + a b^{2}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + 3 \, {\left(2 \, {\left(q \log\left(d\right) + \log\left(c\right)\right)} a b^{2} + {\left(q^{2} \log\left(d\right)^{2} + 2 \, q \log\left(c\right) \log\left(d\right) + \log\left(c\right)^{2}\right)} b^{3} + a^{2} b\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h x + g}\,{d x}"," ",0,"a^3*log(h*x + g)/h + integrate((b^3*log(((f*x + e)^p)^q)^3 + 3*(q*log(d) + log(c))*a^2*b + 3*(q^2*log(d)^2 + 2*q*log(c)*log(d) + log(c)^2)*a*b^2 + (q^3*log(d)^3 + 3*q^2*log(c)*log(d)^2 + 3*q*log(c)^2*log(d) + log(c)^3)*b^3 + 3*((q*log(d) + log(c))*b^3 + a*b^2)*log(((f*x + e)^p)^q)^2 + 3*(2*(q*log(d) + log(c))*a*b^2 + (q^2*log(d)^2 + 2*q*log(c)*log(d) + log(c)^2)*b^3 + a^2*b)*log(((f*x + e)^p)^q))/(h*x + g), x)","F",0
538,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g)/(j*x+i),x, algorithm=""maxima"")","a^{3} {\left(\frac{\log\left(h x + g\right)}{h i - g j} - \frac{\log\left(j x + i\right)}{h i - g j}\right)} + \int \frac{b^{3} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{3} + 3 \, {\left(q \log\left(d\right) + \log\left(c\right)\right)} a^{2} b + 3 \, {\left(q^{2} \log\left(d\right)^{2} + 2 \, q \log\left(c\right) \log\left(d\right) + \log\left(c\right)^{2}\right)} a b^{2} + {\left(q^{3} \log\left(d\right)^{3} + 3 \, q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, q \log\left(c\right)^{2} \log\left(d\right) + \log\left(c\right)^{3}\right)} b^{3} + 3 \, {\left({\left(q \log\left(d\right) + \log\left(c\right)\right)} b^{3} + a b^{2}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + 3 \, {\left(2 \, {\left(q \log\left(d\right) + \log\left(c\right)\right)} a b^{2} + {\left(q^{2} \log\left(d\right)^{2} + 2 \, q \log\left(c\right) \log\left(d\right) + \log\left(c\right)^{2}\right)} b^{3} + a^{2} b\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h j x^{2} + g i + {\left(h i + g j\right)} x}\,{d x}"," ",0,"a^3*(log(h*x + g)/(h*i - g*j) - log(j*x + i)/(h*i - g*j)) + integrate((b^3*log(((f*x + e)^p)^q)^3 + 3*(q*log(d) + log(c))*a^2*b + 3*(q^2*log(d)^2 + 2*q*log(c)*log(d) + log(c)^2)*a*b^2 + (q^3*log(d)^3 + 3*q^2*log(c)*log(d)^2 + 3*q*log(c)^2*log(d) + log(c)^3)*b^3 + 3*((q*log(d) + log(c))*b^3 + a*b^2)*log(((f*x + e)^p)^q)^2 + 3*(2*(q*log(d) + log(c))*a*b^2 + (q^2*log(d)^2 + 2*q*log(c)*log(d) + log(c)^2)*b^3 + a^2*b)*log(((f*x + e)^p)^q))/(h*j*x^2 + g*i + (h*i + g*j)*x), x)","F",0
539,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g)/(j*x+i)^2,x, algorithm=""maxima"")","a^{3} {\left(\frac{h \log\left(h x + g\right)}{h^{2} i^{2} - 2 \, g h i j + g^{2} j^{2}} - \frac{h \log\left(j x + i\right)}{h^{2} i^{2} - 2 \, g h i j + g^{2} j^{2}} + \frac{1}{h i^{2} - g i j + {\left(h i j - g j^{2}\right)} x}\right)} + \int \frac{b^{3} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{3} + 3 \, {\left(q \log\left(d\right) + \log\left(c\right)\right)} a^{2} b + 3 \, {\left(q^{2} \log\left(d\right)^{2} + 2 \, q \log\left(c\right) \log\left(d\right) + \log\left(c\right)^{2}\right)} a b^{2} + {\left(q^{3} \log\left(d\right)^{3} + 3 \, q^{2} \log\left(c\right) \log\left(d\right)^{2} + 3 \, q \log\left(c\right)^{2} \log\left(d\right) + \log\left(c\right)^{3}\right)} b^{3} + 3 \, {\left({\left(q \log\left(d\right) + \log\left(c\right)\right)} b^{3} + a b^{2}\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)^{2} + 3 \, {\left(2 \, {\left(q \log\left(d\right) + \log\left(c\right)\right)} a b^{2} + {\left(q^{2} \log\left(d\right)^{2} + 2 \, q \log\left(c\right) \log\left(d\right) + \log\left(c\right)^{2}\right)} b^{3} + a^{2} b\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}{h j^{2} x^{3} + g i^{2} + {\left(2 \, h i j + g j^{2}\right)} x^{2} + {\left(h i^{2} + 2 \, g i j\right)} x}\,{d x}"," ",0,"a^3*(h*log(h*x + g)/(h^2*i^2 - 2*g*h*i*j + g^2*j^2) - h*log(j*x + i)/(h^2*i^2 - 2*g*h*i*j + g^2*j^2) + 1/(h*i^2 - g*i*j + (h*i*j - g*j^2)*x)) + integrate((b^3*log(((f*x + e)^p)^q)^3 + 3*(q*log(d) + log(c))*a^2*b + 3*(q^2*log(d)^2 + 2*q*log(c)*log(d) + log(c)^2)*a*b^2 + (q^3*log(d)^3 + 3*q^2*log(c)*log(d)^2 + 3*q*log(c)^2*log(d) + log(c)^3)*b^3 + 3*((q*log(d) + log(c))*b^3 + a*b^2)*log(((f*x + e)^p)^q)^2 + 3*(2*(q*log(d) + log(c))*a*b^2 + (q^2*log(d)^2 + 2*q*log(c)*log(d) + log(c)^2)*b^3 + a^2*b)*log(((f*x + e)^p)^q))/(h*j^2*x^3 + g*i^2 + (2*h*i*j + g*j^2)*x^2 + (h*i^2 + 2*g*i*j)*x), x)","F",0
540,0,0,0,0.000000," ","integrate((j*x+i)/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\int \frac{j x + i}{{\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate((j*x + i)/((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
541,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\int \frac{1}{{\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
542,0,0,0,0.000000," ","integrate(1/(h*x+g)/(j*x+i)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\int \frac{1}{{\left(h x + g\right)} {\left(j x + i\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(j*x + i)*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
543,0,0,0,0.000000," ","integrate(1/(h*x+g)/(j*x+i)^2/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""maxima"")","\int \frac{1}{{\left(h x + g\right)} {\left(j x + i\right)}^{2} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(j*x + i)^2*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
544,0,0,0,0.000000," ","integrate((j*x+i)/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","-\frac{f j x^{2} + e i + {\left(f i + e j\right)} x}{a b f g p q + {\left(f g p q^{2} \log\left(d\right) + f g p q \log\left(c\right)\right)} b^{2} + {\left(a b f h p q + {\left(f h p q^{2} \log\left(d\right) + f h p q \log\left(c\right)\right)} b^{2}\right)} x + {\left(b^{2} f h p q x + b^{2} f g p q\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)} + \int \frac{f h j x^{2} + 2 \, f g j x + f g i - {\left(h i - g j\right)} e}{a b f g^{2} p q + {\left(f g^{2} p q^{2} \log\left(d\right) + f g^{2} p q \log\left(c\right)\right)} b^{2} + {\left(a b f h^{2} p q + {\left(f h^{2} p q^{2} \log\left(d\right) + f h^{2} p q \log\left(c\right)\right)} b^{2}\right)} x^{2} + 2 \, {\left(a b f g h p q + {\left(f g h p q^{2} \log\left(d\right) + f g h p q \log\left(c\right)\right)} b^{2}\right)} x + {\left(b^{2} f h^{2} p q x^{2} + 2 \, b^{2} f g h p q x + b^{2} f g^{2} p q\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}\,{d x}"," ",0,"-(f*j*x^2 + e*i + (f*i + e*j)*x)/(a*b*f*g*p*q + (f*g*p*q^2*log(d) + f*g*p*q*log(c))*b^2 + (a*b*f*h*p*q + (f*h*p*q^2*log(d) + f*h*p*q*log(c))*b^2)*x + (b^2*f*h*p*q*x + b^2*f*g*p*q)*log(((f*x + e)^p)^q)) + integrate((f*h*j*x^2 + 2*f*g*j*x + f*g*i - (h*i - g*j)*e)/(a*b*f*g^2*p*q + (f*g^2*p*q^2*log(d) + f*g^2*p*q*log(c))*b^2 + (a*b*f*h^2*p*q + (f*h^2*p*q^2*log(d) + f*h^2*p*q*log(c))*b^2)*x^2 + 2*(a*b*f*g*h*p*q + (f*g*h*p*q^2*log(d) + f*g*h*p*q*log(c))*b^2)*x + (b^2*f*h^2*p*q*x^2 + 2*b^2*f*g*h*p*q*x + b^2*f*g^2*p*q)*log(((f*x + e)^p)^q)), x)","F",0
545,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","{\left(f g - e h\right)} \int \frac{1}{a b f g^{2} p q + {\left(f g^{2} p q^{2} \log\left(d\right) + f g^{2} p q \log\left(c\right)\right)} b^{2} + {\left(a b f h^{2} p q + {\left(f h^{2} p q^{2} \log\left(d\right) + f h^{2} p q \log\left(c\right)\right)} b^{2}\right)} x^{2} + 2 \, {\left(a b f g h p q + {\left(f g h p q^{2} \log\left(d\right) + f g h p q \log\left(c\right)\right)} b^{2}\right)} x + {\left(b^{2} f h^{2} p q x^{2} + 2 \, b^{2} f g h p q x + b^{2} f g^{2} p q\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}\,{d x} - \frac{f x + e}{a b f g p q + {\left(f g p q^{2} \log\left(d\right) + f g p q \log\left(c\right)\right)} b^{2} + {\left(a b f h p q + {\left(f h p q^{2} \log\left(d\right) + f h p q \log\left(c\right)\right)} b^{2}\right)} x + {\left(b^{2} f h p q x + b^{2} f g p q\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}"," ",0,"(f*g - e*h)*integrate(1/(a*b*f*g^2*p*q + (f*g^2*p*q^2*log(d) + f*g^2*p*q*log(c))*b^2 + (a*b*f*h^2*p*q + (f*h^2*p*q^2*log(d) + f*h^2*p*q*log(c))*b^2)*x^2 + 2*(a*b*f*g*h*p*q + (f*g*h*p*q^2*log(d) + f*g*h*p*q*log(c))*b^2)*x + (b^2*f*h^2*p*q*x^2 + 2*b^2*f*g*h*p*q*x + b^2*f*g^2*p*q)*log(((f*x + e)^p)^q)), x) - (f*x + e)/(a*b*f*g*p*q + (f*g*p*q^2*log(d) + f*g*p*q*log(c))*b^2 + (a*b*f*h*p*q + (f*h*p*q^2*log(d) + f*h*p*q*log(c))*b^2)*x + (b^2*f*h*p*q*x + b^2*f*g*p*q)*log(((f*x + e)^p)^q))","F",0
546,0,0,0,0.000000," ","integrate(1/(h*x+g)/(j*x+i)/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","-\frac{f x + e}{a b f g i p q + {\left(f g i p q^{2} \log\left(d\right) + f g i p q \log\left(c\right)\right)} b^{2} + {\left(a b f h j p q + {\left(f h j p q^{2} \log\left(d\right) + f h j p q \log\left(c\right)\right)} b^{2}\right)} x^{2} + {\left({\left(h i p q + g j p q\right)} a b f + {\left({\left(h i p q + g j p q\right)} f \log\left(c\right) + {\left(h i p q^{2} + g j p q^{2}\right)} f \log\left(d\right)\right)} b^{2}\right)} x + {\left(b^{2} f h j p q x^{2} + b^{2} f g i p q + {\left(h i p q + g j p q\right)} b^{2} f x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)} - \int \frac{f h j x^{2} + 2 \, e h j x - f g i + {\left(h i + g j\right)} e}{a b f g^{2} i^{2} p q + {\left(a b f h^{2} j^{2} p q + {\left(f h^{2} j^{2} p q^{2} \log\left(d\right) + f h^{2} j^{2} p q \log\left(c\right)\right)} b^{2}\right)} x^{4} + 2 \, {\left({\left(h^{2} i j p q + g h j^{2} p q\right)} a b f + {\left({\left(h^{2} i j p q + g h j^{2} p q\right)} f \log\left(c\right) + {\left(h^{2} i j p q^{2} + g h j^{2} p q^{2}\right)} f \log\left(d\right)\right)} b^{2}\right)} x^{3} + {\left(f g^{2} i^{2} p q^{2} \log\left(d\right) + f g^{2} i^{2} p q \log\left(c\right)\right)} b^{2} + {\left({\left(h^{2} i^{2} p q + 4 \, g h i j p q + g^{2} j^{2} p q\right)} a b f + {\left({\left(h^{2} i^{2} p q + 4 \, g h i j p q + g^{2} j^{2} p q\right)} f \log\left(c\right) + {\left(h^{2} i^{2} p q^{2} + 4 \, g h i j p q^{2} + g^{2} j^{2} p q^{2}\right)} f \log\left(d\right)\right)} b^{2}\right)} x^{2} + 2 \, {\left({\left(g h i^{2} p q + g^{2} i j p q\right)} a b f + {\left({\left(g h i^{2} p q + g^{2} i j p q\right)} f \log\left(c\right) + {\left(g h i^{2} p q^{2} + g^{2} i j p q^{2}\right)} f \log\left(d\right)\right)} b^{2}\right)} x + {\left(b^{2} f h^{2} j^{2} p q x^{4} + b^{2} f g^{2} i^{2} p q + 2 \, {\left(h^{2} i j p q + g h j^{2} p q\right)} b^{2} f x^{3} + {\left(h^{2} i^{2} p q + 4 \, g h i j p q + g^{2} j^{2} p q\right)} b^{2} f x^{2} + 2 \, {\left(g h i^{2} p q + g^{2} i j p q\right)} b^{2} f x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}\,{d x}"," ",0,"-(f*x + e)/(a*b*f*g*i*p*q + (f*g*i*p*q^2*log(d) + f*g*i*p*q*log(c))*b^2 + (a*b*f*h*j*p*q + (f*h*j*p*q^2*log(d) + f*h*j*p*q*log(c))*b^2)*x^2 + ((h*i*p*q + g*j*p*q)*a*b*f + ((h*i*p*q + g*j*p*q)*f*log(c) + (h*i*p*q^2 + g*j*p*q^2)*f*log(d))*b^2)*x + (b^2*f*h*j*p*q*x^2 + b^2*f*g*i*p*q + (h*i*p*q + g*j*p*q)*b^2*f*x)*log(((f*x + e)^p)^q)) - integrate((f*h*j*x^2 + 2*e*h*j*x - f*g*i + (h*i + g*j)*e)/(a*b*f*g^2*i^2*p*q + (a*b*f*h^2*j^2*p*q + (f*h^2*j^2*p*q^2*log(d) + f*h^2*j^2*p*q*log(c))*b^2)*x^4 + 2*((h^2*i*j*p*q + g*h*j^2*p*q)*a*b*f + ((h^2*i*j*p*q + g*h*j^2*p*q)*f*log(c) + (h^2*i*j*p*q^2 + g*h*j^2*p*q^2)*f*log(d))*b^2)*x^3 + (f*g^2*i^2*p*q^2*log(d) + f*g^2*i^2*p*q*log(c))*b^2 + ((h^2*i^2*p*q + 4*g*h*i*j*p*q + g^2*j^2*p*q)*a*b*f + ((h^2*i^2*p*q + 4*g*h*i*j*p*q + g^2*j^2*p*q)*f*log(c) + (h^2*i^2*p*q^2 + 4*g*h*i*j*p*q^2 + g^2*j^2*p*q^2)*f*log(d))*b^2)*x^2 + 2*((g*h*i^2*p*q + g^2*i*j*p*q)*a*b*f + ((g*h*i^2*p*q + g^2*i*j*p*q)*f*log(c) + (g*h*i^2*p*q^2 + g^2*i*j*p*q^2)*f*log(d))*b^2)*x + (b^2*f*h^2*j^2*p*q*x^4 + b^2*f*g^2*i^2*p*q + 2*(h^2*i*j*p*q + g*h*j^2*p*q)*b^2*f*x^3 + (h^2*i^2*p*q + 4*g*h*i*j*p*q + g^2*j^2*p*q)*b^2*f*x^2 + 2*(g*h*i^2*p*q + g^2*i*j*p*q)*b^2*f*x)*log(((f*x + e)^p)^q)), x)","F",0
547,0,0,0,0.000000," ","integrate(1/(h*x+g)/(j*x+i)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""maxima"")","-\frac{f x + e}{a b f g i^{2} p q + {\left(a b f h j^{2} p q + {\left(f h j^{2} p q^{2} \log\left(d\right) + f h j^{2} p q \log\left(c\right)\right)} b^{2}\right)} x^{3} + {\left(f g i^{2} p q^{2} \log\left(d\right) + f g i^{2} p q \log\left(c\right)\right)} b^{2} + {\left({\left(2 \, h i j p q + g j^{2} p q\right)} a b f + {\left({\left(2 \, h i j p q + g j^{2} p q\right)} f \log\left(c\right) + {\left(2 \, h i j p q^{2} + g j^{2} p q^{2}\right)} f \log\left(d\right)\right)} b^{2}\right)} x^{2} + {\left({\left(h i^{2} p q + 2 \, g i j p q\right)} a b f + {\left({\left(h i^{2} p q + 2 \, g i j p q\right)} f \log\left(c\right) + {\left(h i^{2} p q^{2} + 2 \, g i j p q^{2}\right)} f \log\left(d\right)\right)} b^{2}\right)} x + {\left(b^{2} f h j^{2} p q x^{3} + b^{2} f g i^{2} p q + {\left(2 \, h i j p q + g j^{2} p q\right)} b^{2} f x^{2} + {\left(h i^{2} p q + 2 \, g i j p q\right)} b^{2} f x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)} - \int \frac{2 \, f h j x^{2} - f g i + {\left(h i + 2 \, g j\right)} e + {\left(f g j + 3 \, e h j\right)} x}{a b f g^{2} i^{3} p q + {\left(a b f h^{2} j^{3} p q + {\left(f h^{2} j^{3} p q^{2} \log\left(d\right) + f h^{2} j^{3} p q \log\left(c\right)\right)} b^{2}\right)} x^{5} + {\left({\left(3 \, h^{2} i j^{2} p q + 2 \, g h j^{3} p q\right)} a b f + {\left({\left(3 \, h^{2} i j^{2} p q + 2 \, g h j^{3} p q\right)} f \log\left(c\right) + {\left(3 \, h^{2} i j^{2} p q^{2} + 2 \, g h j^{3} p q^{2}\right)} f \log\left(d\right)\right)} b^{2}\right)} x^{4} + {\left({\left(3 \, h^{2} i^{2} j p q + 6 \, g h i j^{2} p q + g^{2} j^{3} p q\right)} a b f + {\left({\left(3 \, h^{2} i^{2} j p q + 6 \, g h i j^{2} p q + g^{2} j^{3} p q\right)} f \log\left(c\right) + {\left(3 \, h^{2} i^{2} j p q^{2} + 6 \, g h i j^{2} p q^{2} + g^{2} j^{3} p q^{2}\right)} f \log\left(d\right)\right)} b^{2}\right)} x^{3} + {\left(f g^{2} i^{3} p q^{2} \log\left(d\right) + f g^{2} i^{3} p q \log\left(c\right)\right)} b^{2} + {\left({\left(h^{2} i^{3} p q + 6 \, g h i^{2} j p q + 3 \, g^{2} i j^{2} p q\right)} a b f + {\left({\left(h^{2} i^{3} p q + 6 \, g h i^{2} j p q + 3 \, g^{2} i j^{2} p q\right)} f \log\left(c\right) + {\left(h^{2} i^{3} p q^{2} + 6 \, g h i^{2} j p q^{2} + 3 \, g^{2} i j^{2} p q^{2}\right)} f \log\left(d\right)\right)} b^{2}\right)} x^{2} + {\left({\left(2 \, g h i^{3} p q + 3 \, g^{2} i^{2} j p q\right)} a b f + {\left({\left(2 \, g h i^{3} p q + 3 \, g^{2} i^{2} j p q\right)} f \log\left(c\right) + {\left(2 \, g h i^{3} p q^{2} + 3 \, g^{2} i^{2} j p q^{2}\right)} f \log\left(d\right)\right)} b^{2}\right)} x + {\left(b^{2} f h^{2} j^{3} p q x^{5} + b^{2} f g^{2} i^{3} p q + {\left(3 \, h^{2} i j^{2} p q + 2 \, g h j^{3} p q\right)} b^{2} f x^{4} + {\left(3 \, h^{2} i^{2} j p q + 6 \, g h i j^{2} p q + g^{2} j^{3} p q\right)} b^{2} f x^{3} + {\left(h^{2} i^{3} p q + 6 \, g h i^{2} j p q + 3 \, g^{2} i j^{2} p q\right)} b^{2} f x^{2} + {\left(2 \, g h i^{3} p q + 3 \, g^{2} i^{2} j p q\right)} b^{2} f x\right)} \log\left({\left({\left(f x + e\right)}^{p}\right)}^{q}\right)}\,{d x}"," ",0,"-(f*x + e)/(a*b*f*g*i^2*p*q + (a*b*f*h*j^2*p*q + (f*h*j^2*p*q^2*log(d) + f*h*j^2*p*q*log(c))*b^2)*x^3 + (f*g*i^2*p*q^2*log(d) + f*g*i^2*p*q*log(c))*b^2 + ((2*h*i*j*p*q + g*j^2*p*q)*a*b*f + ((2*h*i*j*p*q + g*j^2*p*q)*f*log(c) + (2*h*i*j*p*q^2 + g*j^2*p*q^2)*f*log(d))*b^2)*x^2 + ((h*i^2*p*q + 2*g*i*j*p*q)*a*b*f + ((h*i^2*p*q + 2*g*i*j*p*q)*f*log(c) + (h*i^2*p*q^2 + 2*g*i*j*p*q^2)*f*log(d))*b^2)*x + (b^2*f*h*j^2*p*q*x^3 + b^2*f*g*i^2*p*q + (2*h*i*j*p*q + g*j^2*p*q)*b^2*f*x^2 + (h*i^2*p*q + 2*g*i*j*p*q)*b^2*f*x)*log(((f*x + e)^p)^q)) - integrate((2*f*h*j*x^2 - f*g*i + (h*i + 2*g*j)*e + (f*g*j + 3*e*h*j)*x)/(a*b*f*g^2*i^3*p*q + (a*b*f*h^2*j^3*p*q + (f*h^2*j^3*p*q^2*log(d) + f*h^2*j^3*p*q*log(c))*b^2)*x^5 + ((3*h^2*i*j^2*p*q + 2*g*h*j^3*p*q)*a*b*f + ((3*h^2*i*j^2*p*q + 2*g*h*j^3*p*q)*f*log(c) + (3*h^2*i*j^2*p*q^2 + 2*g*h*j^3*p*q^2)*f*log(d))*b^2)*x^4 + ((3*h^2*i^2*j*p*q + 6*g*h*i*j^2*p*q + g^2*j^3*p*q)*a*b*f + ((3*h^2*i^2*j*p*q + 6*g*h*i*j^2*p*q + g^2*j^3*p*q)*f*log(c) + (3*h^2*i^2*j*p*q^2 + 6*g*h*i*j^2*p*q^2 + g^2*j^3*p*q^2)*f*log(d))*b^2)*x^3 + (f*g^2*i^3*p*q^2*log(d) + f*g^2*i^3*p*q*log(c))*b^2 + ((h^2*i^3*p*q + 6*g*h*i^2*j*p*q + 3*g^2*i*j^2*p*q)*a*b*f + ((h^2*i^3*p*q + 6*g*h*i^2*j*p*q + 3*g^2*i*j^2*p*q)*f*log(c) + (h^2*i^3*p*q^2 + 6*g*h*i^2*j*p*q^2 + 3*g^2*i*j^2*p*q^2)*f*log(d))*b^2)*x^2 + ((2*g*h*i^3*p*q + 3*g^2*i^2*j*p*q)*a*b*f + ((2*g*h*i^3*p*q + 3*g^2*i^2*j*p*q)*f*log(c) + (2*g*h*i^3*p*q^2 + 3*g^2*i^2*j*p*q^2)*f*log(d))*b^2)*x + (b^2*f*h^2*j^3*p*q*x^5 + b^2*f*g^2*i^3*p*q + (3*h^2*i*j^2*p*q + 2*g*h*j^3*p*q)*b^2*f*x^4 + (3*h^2*i^2*j*p*q + 6*g*h*i*j^2*p*q + g^2*j^3*p*q)*b^2*f*x^3 + (h^2*i^3*p*q + 6*g*h*i^2*j*p*q + 3*g^2*i*j^2*p*q)*b^2*f*x^2 + (2*g*h*i^3*p*q + 3*g^2*i^2*j*p*q)*b^2*f*x)*log(((f*x + e)^p)^q)), x)","F",0
