1,0,0,0,0.000000," ","integrate((f+g/x)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""maxima"")","B f^{3} n {\left(\frac{a \log\left(b x + a\right)}{b} - \frac{c \log\left(d x + c\right)}{d}\right)} - 3 \, B f g^{2} n {\left(\frac{b \log\left(b x + a\right)}{a} - \frac{d \log\left(d x + c\right)}{c} - \frac{{\left(b c - a d\right)} \log\left(x\right)}{a c}\right)} + \frac{1}{2} \, B g^{3} n {\left(\frac{b^{2} \log\left(b x + a\right)}{a^{2}} - \frac{d^{2} \log\left(d x + c\right)}{c^{2}} - \frac{b c - a d}{a c x} - \frac{{\left(b^{2} c^{2} - a^{2} d^{2}\right)} \log\left(x\right)}{a^{2} c^{2}}\right)} + B f^{3} x \log\left(e {\left(\frac{b x}{d x + c} + \frac{a}{d x + c}\right)}^{n}\right) + A f^{3} x - 3 \, B f^{2} g \int -\frac{\log\left({\left(b x + a\right)}^{n}\right) - \log\left({\left(d x + c\right)}^{n}\right) + \log\left(e\right)}{x}\,{d x} + 3 \, A f^{2} g \log\left(x\right) - \frac{3 \, B f g^{2} \log\left(e {\left(\frac{b x}{d x + c} + \frac{a}{d x + c}\right)}^{n}\right)}{x} - \frac{3 \, A f g^{2}}{x} - \frac{B g^{3} \log\left(e {\left(\frac{b x}{d x + c} + \frac{a}{d x + c}\right)}^{n}\right)}{2 \, x^{2}} - \frac{A g^{3}}{2 \, x^{2}}"," ",0,"B*f^3*n*(a*log(b*x + a)/b - c*log(d*x + c)/d) - 3*B*f*g^2*n*(b*log(b*x + a)/a - d*log(d*x + c)/c - (b*c - a*d)*log(x)/(a*c)) + 1/2*B*g^3*n*(b^2*log(b*x + a)/a^2 - d^2*log(d*x + c)/c^2 - (b*c - a*d)/(a*c*x) - (b^2*c^2 - a^2*d^2)*log(x)/(a^2*c^2)) + B*f^3*x*log(e*(b*x/(d*x + c) + a/(d*x + c))^n) + A*f^3*x - 3*B*f^2*g*integrate(-(log((b*x + a)^n) - log((d*x + c)^n) + log(e))/x, x) + 3*A*f^2*g*log(x) - 3*B*f*g^2*log(e*(b*x/(d*x + c) + a/(d*x + c))^n)/x - 3*A*f*g^2/x - 1/2*B*g^3*log(e*(b*x/(d*x + c) + a/(d*x + c))^n)/x^2 - 1/2*A*g^3/x^2","F",0
2,0,0,0,0.000000," ","integrate((f+g/x)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""maxima"")","B f^{2} n {\left(\frac{a \log\left(b x + a\right)}{b} - \frac{c \log\left(d x + c\right)}{d}\right)} - B g^{2} n {\left(\frac{b \log\left(b x + a\right)}{a} - \frac{d \log\left(d x + c\right)}{c} - \frac{{\left(b c - a d\right)} \log\left(x\right)}{a c}\right)} + B f^{2} x \log\left(e {\left(\frac{b x}{d x + c} + \frac{a}{d x + c}\right)}^{n}\right) + A f^{2} x - 2 \, B f g \int -\frac{\log\left({\left(b x + a\right)}^{n}\right) - \log\left({\left(d x + c\right)}^{n}\right) + \log\left(e\right)}{x}\,{d x} + 2 \, A f g \log\left(x\right) - \frac{B g^{2} \log\left(e {\left(\frac{b x}{d x + c} + \frac{a}{d x + c}\right)}^{n}\right)}{x} - \frac{A g^{2}}{x}"," ",0,"B*f^2*n*(a*log(b*x + a)/b - c*log(d*x + c)/d) - B*g^2*n*(b*log(b*x + a)/a - d*log(d*x + c)/c - (b*c - a*d)*log(x)/(a*c)) + B*f^2*x*log(e*(b*x/(d*x + c) + a/(d*x + c))^n) + A*f^2*x - 2*B*f*g*integrate(-(log((b*x + a)^n) - log((d*x + c)^n) + log(e))/x, x) + 2*A*f*g*log(x) - B*g^2*log(e*(b*x/(d*x + c) + a/(d*x + c))^n)/x - A*g^2/x","F",0
3,0,0,0,0.000000," ","integrate((f+g/x)*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""maxima"")","B f n {\left(\frac{a \log\left(b x + a\right)}{b} - \frac{c \log\left(d x + c\right)}{d}\right)} + B f x \log\left(e {\left(\frac{b x}{d x + c} + \frac{a}{d x + c}\right)}^{n}\right) + A f x - B g \int -\frac{\log\left({\left(b x + a\right)}^{n}\right) - \log\left({\left(d x + c\right)}^{n}\right) + \log\left(e\right)}{x}\,{d x} + A g \log\left(x\right)"," ",0,"B*f*n*(a*log(b*x + a)/b - c*log(d*x + c)/d) + B*f*x*log(e*(b*x/(d*x + c) + a/(d*x + c))^n) + A*f*x - B*g*integrate(-(log((b*x + a)^n) - log((d*x + c)^n) + log(e))/x, x) + A*g*log(x)","F",0
4,0,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(f+g/x),x, algorithm=""maxima"")","A {\left(\frac{x}{f} - \frac{g \log\left(f x + g\right)}{f^{2}}\right)} - B \int -\frac{x \log\left({\left(b x + a\right)}^{n}\right) - x \log\left({\left(d x + c\right)}^{n}\right) + x \log\left(e\right)}{f x + g}\,{d x}"," ",0,"A*(x/f - g*log(f*x + g)/f^2) - B*integrate(-(x*log((b*x + a)^n) - x*log((d*x + c)^n) + x*log(e))/(f*x + g), x)","F",0
5,0,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(f+g/x)^2,x, algorithm=""maxima"")","-A {\left(\frac{g^{2}}{f^{4} x + f^{3} g} - \frac{x}{f^{2}} + \frac{2 \, g \log\left(f x + g\right)}{f^{3}}\right)} - B \int -\frac{x^{2} \log\left({\left(b x + a\right)}^{n}\right) - x^{2} \log\left({\left(d x + c\right)}^{n}\right) + x^{2} \log\left(e\right)}{f^{2} x^{2} + 2 \, f g x + g^{2}}\,{d x}"," ",0,"-A*(g^2/(f^4*x + f^3*g) - x/f^2 + 2*g*log(f*x + g)/f^3) - B*integrate(-(x^2*log((b*x + a)^n) - x^2*log((d*x + c)^n) + x^2*log(e))/(f^2*x^2 + 2*f*g*x + g^2), x)","F",0
6,0,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(f+g/x)^3,x, algorithm=""maxima"")","-\frac{1}{2} \, A {\left(\frac{6 \, f g^{2} x + 5 \, g^{3}}{f^{6} x^{2} + 2 \, f^{5} g x + f^{4} g^{2}} - \frac{2 \, x}{f^{3}} + \frac{6 \, g \log\left(f x + g\right)}{f^{4}}\right)} - B \int -\frac{x^{3} \log\left({\left(b x + a\right)}^{n}\right) - x^{3} \log\left({\left(d x + c\right)}^{n}\right) + x^{3} \log\left(e\right)}{f^{3} x^{3} + 3 \, f^{2} g x^{2} + 3 \, f g^{2} x + g^{3}}\,{d x}"," ",0,"-1/2*A*((6*f*g^2*x + 5*g^3)/(f^6*x^2 + 2*f^5*g*x + f^4*g^2) - 2*x/f^3 + 6*g*log(f*x + g)/f^4) - B*integrate(-(x^3*log((b*x + a)^n) - x^3*log((d*x + c)^n) + x^3*log(e))/(f^3*x^3 + 3*f^2*g*x^2 + 3*f*g^2*x + g^3), x)","F",0
7,1,395,0,0.739180," ","integrate((b*x+a)^4*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r),x, algorithm=""maxima"")","\frac{1}{5} \, {\left(b^{4} x^{5} + 5 \, a b^{3} x^{4} + 10 \, a^{2} b^{2} x^{3} + 10 \, a^{3} b x^{2} + 5 \, a^{4} x\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right) + \frac{{\left(\frac{60 \, a^{5} f p \log\left(b x + a\right)}{b} - \frac{12 \, b^{4} d^{4} f {\left(p + q\right)} x^{5} + 15 \, {\left(a b^{3} d^{4} f {\left(4 \, p + 5 \, q\right)} - b^{4} c d^{3} f q\right)} x^{4} + 20 \, {\left(2 \, a^{2} b^{2} d^{4} f {\left(3 \, p + 5 \, q\right)} + b^{4} c^{2} d^{2} f q - 5 \, a b^{3} c d^{3} f q\right)} x^{3} + 30 \, {\left(2 \, a^{3} b d^{4} f {\left(2 \, p + 5 \, q\right)} - b^{4} c^{3} d f q + 5 \, a b^{3} c^{2} d^{2} f q - 10 \, a^{2} b^{2} c d^{3} f q\right)} x^{2} + 60 \, {\left(a^{4} d^{4} f {\left(p + 5 \, q\right)} + b^{4} c^{4} f q - 5 \, a b^{3} c^{3} d f q + 10 \, a^{2} b^{2} c^{2} d^{2} f q - 10 \, a^{3} b c d^{3} f q\right)} x}{d^{4}} + \frac{60 \, {\left(b^{4} c^{5} f q - 5 \, a b^{3} c^{4} d f q + 10 \, a^{2} b^{2} c^{3} d^{2} f q - 10 \, a^{3} b c^{2} d^{3} f q + 5 \, a^{4} c d^{4} f q\right)} \log\left(d x + c\right)}{d^{5}}\right)} r}{300 \, f}"," ",0,"1/5*(b^4*x^5 + 5*a*b^3*x^4 + 10*a^2*b^2*x^3 + 10*a^3*b*x^2 + 5*a^4*x)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e) + 1/300*(60*a^5*f*p*log(b*x + a)/b - (12*b^4*d^4*f*(p + q)*x^5 + 15*(a*b^3*d^4*f*(4*p + 5*q) - b^4*c*d^3*f*q)*x^4 + 20*(2*a^2*b^2*d^4*f*(3*p + 5*q) + b^4*c^2*d^2*f*q - 5*a*b^3*c*d^3*f*q)*x^3 + 30*(2*a^3*b*d^4*f*(2*p + 5*q) - b^4*c^3*d*f*q + 5*a*b^3*c^2*d^2*f*q - 10*a^2*b^2*c*d^3*f*q)*x^2 + 60*(a^4*d^4*f*(p + 5*q) + b^4*c^4*f*q - 5*a*b^3*c^3*d*f*q + 10*a^2*b^2*c^2*d^2*f*q - 10*a^3*b*c*d^3*f*q)*x)/d^4 + 60*(b^4*c^5*f*q - 5*a*b^3*c^4*d*f*q + 10*a^2*b^2*c^3*d^2*f*q - 10*a^3*b*c^2*d^3*f*q + 5*a^4*c*d^4*f*q)*log(d*x + c)/d^5)*r/f","B",0
8,1,285,0,0.907244," ","integrate((b*x+a)^3*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(b^{3} x^{4} + 4 \, a b^{2} x^{3} + 6 \, a^{2} b x^{2} + 4 \, a^{3} x\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right) + \frac{{\left(\frac{12 \, a^{4} f p \log\left(b x + a\right)}{b} - \frac{3 \, b^{3} d^{3} f {\left(p + q\right)} x^{4} + 4 \, {\left(a b^{2} d^{3} f {\left(3 \, p + 4 \, q\right)} - b^{3} c d^{2} f q\right)} x^{3} + 6 \, {\left(3 \, a^{2} b d^{3} f {\left(p + 2 \, q\right)} + b^{3} c^{2} d f q - 4 \, a b^{2} c d^{2} f q\right)} x^{2} + 12 \, {\left(a^{3} d^{3} f {\left(p + 4 \, q\right)} - b^{3} c^{3} f q + 4 \, a b^{2} c^{2} d f q - 6 \, a^{2} b c d^{2} f q\right)} x}{d^{3}} - \frac{12 \, {\left(b^{3} c^{4} f q - 4 \, a b^{2} c^{3} d f q + 6 \, a^{2} b c^{2} d^{2} f q - 4 \, a^{3} c d^{3} f q\right)} \log\left(d x + c\right)}{d^{4}}\right)} r}{48 \, f}"," ",0,"1/4*(b^3*x^4 + 4*a*b^2*x^3 + 6*a^2*b*x^2 + 4*a^3*x)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e) + 1/48*(12*a^4*f*p*log(b*x + a)/b - (3*b^3*d^3*f*(p + q)*x^4 + 4*(a*b^2*d^3*f*(3*p + 4*q) - b^3*c*d^2*f*q)*x^3 + 6*(3*a^2*b*d^3*f*(p + 2*q) + b^3*c^2*d*f*q - 4*a*b^2*c*d^2*f*q)*x^2 + 12*(a^3*d^3*f*(p + 4*q) - b^3*c^3*f*q + 4*a*b^2*c^2*d*f*q - 6*a^2*b*c*d^2*f*q)*x)/d^3 - 12*(b^3*c^4*f*q - 4*a*b^2*c^3*d*f*q + 6*a^2*b*c^2*d^2*f*q - 4*a^3*c*d^3*f*q)*log(d*x + c)/d^4)*r/f","A",0
9,1,194,0,0.653869," ","integrate((b*x+a)^2*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(b^{2} x^{3} + 3 \, a b x^{2} + 3 \, a^{2} x\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right) + \frac{{\left(\frac{6 \, a^{3} f p \log\left(b x + a\right)}{b} - \frac{2 \, b^{2} d^{2} f {\left(p + q\right)} x^{3} + 3 \, {\left(a b d^{2} f {\left(2 \, p + 3 \, q\right)} - b^{2} c d f q\right)} x^{2} + 6 \, {\left(a^{2} d^{2} f {\left(p + 3 \, q\right)} + b^{2} c^{2} f q - 3 \, a b c d f q\right)} x}{d^{2}} + \frac{6 \, {\left(b^{2} c^{3} f q - 3 \, a b c^{2} d f q + 3 \, a^{2} c d^{2} f q\right)} \log\left(d x + c\right)}{d^{3}}\right)} r}{18 \, f}"," ",0,"1/3*(b^2*x^3 + 3*a*b*x^2 + 3*a^2*x)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e) + 1/18*(6*a^3*f*p*log(b*x + a)/b - (2*b^2*d^2*f*(p + q)*x^3 + 3*(a*b*d^2*f*(2*p + 3*q) - b^2*c*d*f*q)*x^2 + 6*(a^2*d^2*f*(p + 3*q) + b^2*c^2*f*q - 3*a*b*c*d*f*q)*x)/d^2 + 6*(b^2*c^3*f*q - 3*a*b*c^2*d*f*q + 3*a^2*c*d^2*f*q)*log(d*x + c)/d^3)*r/f","A",0
10,1,118,0,0.682082," ","integrate((b*x+a)*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(b x^{2} + 2 \, a x\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right) + \frac{{\left(\frac{2 \, a^{2} f p \log\left(b x + a\right)}{b} - \frac{b d f {\left(p + q\right)} x^{2} + 2 \, {\left(a d f {\left(p + 2 \, q\right)} - b c f q\right)} x}{d} - \frac{2 \, {\left(b c^{2} f q - 2 \, a c d f q\right)} \log\left(d x + c\right)}{d^{2}}\right)} r}{4 \, f}"," ",0,"1/2*(b*x^2 + 2*a*x)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e) + 1/4*(2*a^2*f*p*log(b*x + a)/b - (b*d*f*(p + q)*x^2 + 2*(a*d*f*(p + 2*q) - b*c*f*q)*x)/d - 2*(b*c^2*f*q - 2*a*c*d*f*q)*log(d*x + c)/d^2)*r/f","A",0
11,1,164,0,0.801341," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/(b*x+a),x, algorithm=""maxima"")","-\frac{{\left(\frac{2 \, {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)} f q}{b} - \frac{f p \log\left(b x + a\right)^{2} + 2 \, f q \log\left(b x + a\right) \log\left(d x + c\right)}{b}\right)} r}{2 \, f} - \frac{{\left(f p \log\left(b x + a\right) + f q \log\left(d x + c\right)\right)} r \log\left(b x + a\right)}{b f} + \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right) \log\left(b x + a\right)}{b}"," ",0,"-1/2*(2*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))*f*q/b - (f*p*log(b*x + a)^2 + 2*f*q*log(b*x + a)*log(d*x + c))/b)*r/f - (f*p*log(b*x + a) + f*q*log(d*x + c))*r*log(b*x + a)/(b*f) + log(((b*x + a)^p*(d*x + c)^q*f)^r*e)*log(b*x + a)/b","A",0
12,1,99,0,0.709942," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/(b*x+a)^2,x, algorithm=""maxima"")","\frac{{\left(d f q {\left(\frac{\log\left(b x + a\right)}{b c - a d} - \frac{\log\left(d x + c\right)}{b c - a d}\right)} - \frac{b f p}{b^{2} x + a b}\right)} r}{b f} - \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{{\left(b x + a\right)} b}"," ",0,"(d*f*q*(log(b*x + a)/(b*c - a*d) - log(d*x + c)/(b*c - a*d)) - b*f*p/(b^2*x + a*b))*r/(b*f) - log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/((b*x + a)*b)","A",0
13,1,165,0,0.748037," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{{\left(2 \, d f q {\left(\frac{d \log\left(b x + a\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} - \frac{d \log\left(d x + c\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} + \frac{1}{a b c - a^{2} d + {\left(b^{2} c - a b d\right)} x}\right)} + \frac{b f p}{b^{3} x^{2} + 2 \, a b^{2} x + a^{2} b}\right)} r}{4 \, b f} - \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{2 \, {\left(b x + a\right)}^{2} b}"," ",0,"-1/4*(2*d*f*q*(d*log(b*x + a)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) - d*log(d*x + c)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) + 1/(a*b*c - a^2*d + (b^2*c - a*b*d)*x)) + b*f*p/(b^3*x^2 + 2*a*b^2*x + a^2*b))*r/(b*f) - 1/2*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/((b*x + a)^2*b)","A",0
14,1,289,0,0.734765," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/(b*x+a)^4,x, algorithm=""maxima"")","\frac{{\left(3 \, {\left(\frac{2 \, d^{2} \log\left(b x + a\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} - \frac{2 \, d^{2} \log\left(d x + c\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} + \frac{2 \, b d x - b c + 3 \, a d}{a^{2} b^{2} c^{2} - 2 \, a^{3} b c d + a^{4} d^{2} + {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} x^{2} + 2 \, {\left(a b^{3} c^{2} - 2 \, a^{2} b^{2} c d + a^{3} b d^{2}\right)} x}\right)} d f q - \frac{2 \, b f p}{b^{4} x^{3} + 3 \, a b^{3} x^{2} + 3 \, a^{2} b^{2} x + a^{3} b}\right)} r}{18 \, b f} - \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{3 \, {\left(b x + a\right)}^{3} b}"," ",0,"1/18*(3*(2*d^2*log(b*x + a)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) - 2*d^2*log(d*x + c)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) + (2*b*d*x - b*c + 3*a*d)/(a^2*b^2*c^2 - 2*a^3*b*c*d + a^4*d^2 + (b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*x^2 + 2*(a*b^3*c^2 - 2*a^2*b^2*c*d + a^3*b*d^2)*x))*d*f*q - 2*b*f*p/(b^4*x^3 + 3*a*b^3*x^2 + 3*a^2*b^2*x + a^3*b))*r/(b*f) - 1/3*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/((b*x + a)^3*b)","A",0
15,1,459,0,0.848176," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/(b*x+a)^5,x, algorithm=""maxima"")","-\frac{{\left(2 \, {\left(\frac{6 \, d^{3} \log\left(b x + a\right)}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} - \frac{6 \, d^{3} \log\left(d x + c\right)}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} + \frac{6 \, b^{2} d^{2} x^{2} + 2 \, b^{2} c^{2} - 7 \, a b c d + 11 \, a^{2} d^{2} - 3 \, {\left(b^{2} c d - 5 \, a b d^{2}\right)} x}{a^{3} b^{3} c^{3} - 3 \, a^{4} b^{2} c^{2} d + 3 \, a^{5} b c d^{2} - a^{6} d^{3} + {\left(b^{6} c^{3} - 3 \, a b^{5} c^{2} d + 3 \, a^{2} b^{4} c d^{2} - a^{3} b^{3} d^{3}\right)} x^{3} + 3 \, {\left(a b^{5} c^{3} - 3 \, a^{2} b^{4} c^{2} d + 3 \, a^{3} b^{3} c d^{2} - a^{4} b^{2} d^{3}\right)} x^{2} + 3 \, {\left(a^{2} b^{4} c^{3} - 3 \, a^{3} b^{3} c^{2} d + 3 \, a^{4} b^{2} c d^{2} - a^{5} b d^{3}\right)} x}\right)} d f q + \frac{3 \, b f p}{b^{5} x^{4} + 4 \, a b^{4} x^{3} + 6 \, a^{2} b^{3} x^{2} + 4 \, a^{3} b^{2} x + a^{4} b}\right)} r}{48 \, b f} - \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{4 \, {\left(b x + a\right)}^{4} b}"," ",0,"-1/48*(2*(6*d^3*log(b*x + a)/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) - 6*d^3*log(d*x + c)/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) + (6*b^2*d^2*x^2 + 2*b^2*c^2 - 7*a*b*c*d + 11*a^2*d^2 - 3*(b^2*c*d - 5*a*b*d^2)*x)/(a^3*b^3*c^3 - 3*a^4*b^2*c^2*d + 3*a^5*b*c*d^2 - a^6*d^3 + (b^6*c^3 - 3*a*b^5*c^2*d + 3*a^2*b^4*c*d^2 - a^3*b^3*d^3)*x^3 + 3*(a*b^5*c^3 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 - a^4*b^2*d^3)*x^2 + 3*(a^2*b^4*c^3 - 3*a^3*b^3*c^2*d + 3*a^4*b^2*c*d^2 - a^5*b*d^3)*x))*d*f*q + 3*b*f*p/(b^5*x^4 + 4*a*b^4*x^3 + 6*a^2*b^3*x^2 + 4*a^3*b^2*x + a^4*b))*r/(b*f) - 1/4*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/((b*x + a)^4*b)","B",0
16,1,1421,0,1.099492," ","integrate((b*x+a)^4*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2,x, algorithm=""maxima"")","\frac{1}{5} \, {\left(b^{4} x^{5} + 5 \, a b^{3} x^{4} + 10 \, a^{2} b^{2} x^{3} + 10 \, a^{3} b x^{2} + 5 \, a^{4} x\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2} + \frac{{\left(\frac{60 \, a^{5} f p \log\left(b x + a\right)}{b} - \frac{12 \, b^{4} d^{4} f {\left(p + q\right)} x^{5} + 15 \, {\left(a b^{3} d^{4} f {\left(4 \, p + 5 \, q\right)} - b^{4} c d^{3} f q\right)} x^{4} + 20 \, {\left(2 \, a^{2} b^{2} d^{4} f {\left(3 \, p + 5 \, q\right)} + b^{4} c^{2} d^{2} f q - 5 \, a b^{3} c d^{3} f q\right)} x^{3} + 30 \, {\left(2 \, a^{3} b d^{4} f {\left(2 \, p + 5 \, q\right)} - b^{4} c^{3} d f q + 5 \, a b^{3} c^{2} d^{2} f q - 10 \, a^{2} b^{2} c d^{3} f q\right)} x^{2} + 60 \, {\left(a^{4} d^{4} f {\left(p + 5 \, q\right)} + b^{4} c^{4} f q - 5 \, a b^{3} c^{3} d f q + 10 \, a^{2} b^{2} c^{2} d^{2} f q - 10 \, a^{3} b c d^{3} f q\right)} x}{d^{4}} + \frac{60 \, {\left(b^{4} c^{5} f q - 5 \, a b^{3} c^{4} d f q + 10 \, a^{2} b^{2} c^{3} d^{2} f q - 10 \, a^{3} b c^{2} d^{3} f q + 5 \, a^{4} c d^{4} f q\right)} \log\left(d x + c\right)}{d^{5}}\right)} r \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{150 \, f} - \frac{r^{2} {\left(\frac{60 \, {\left({\left(12 \, p q + 137 \, q^{2}\right)} b^{4} c^{5} f^{2} - 5 \, {\left(12 \, p q + 125 \, q^{2}\right)} a b^{3} c^{4} d f^{2} + 20 \, {\left(6 \, p q + 55 \, q^{2}\right)} a^{2} b^{2} c^{3} d^{2} f^{2} - 60 \, {\left(2 \, p q + 15 \, q^{2}\right)} a^{3} b c^{2} d^{3} f^{2} + 60 \, {\left(p q + 5 \, q^{2}\right)} a^{4} c d^{4} f^{2}\right)} \log\left(d x + c\right)}{d^{5}} - \frac{3600 \, {\left(b^{5} c^{5} f^{2} p q - 5 \, a b^{4} c^{4} d f^{2} p q + 10 \, a^{2} b^{3} c^{3} d^{2} f^{2} p q - 10 \, a^{3} b^{2} c^{2} d^{3} f^{2} p q + 5 \, a^{4} b c d^{4} f^{2} p q - a^{5} d^{5} f^{2} p q\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)}}{b d^{5}} - \frac{144 \, {\left(p^{2} + 2 \, p q + q^{2}\right)} b^{5} d^{5} f^{2} x^{5} - 1800 \, a^{5} d^{5} f^{2} p^{2} \log\left(b x + a\right)^{2} - 45 \, {\left(9 \, {\left(p q + q^{2}\right)} b^{5} c d^{4} f^{2} - {\left(16 \, p^{2} + 41 \, p q + 25 \, q^{2}\right)} a b^{4} d^{5} f^{2}\right)} x^{4} + 20 \, {\left({\left(32 \, p q + 47 \, q^{2}\right)} b^{5} c^{2} d^{3} f^{2} - 5 \, {\left(29 \, p q + 35 \, q^{2}\right)} a b^{4} c d^{4} f^{2} + {\left(72 \, p^{2} + 257 \, p q + 200 \, q^{2}\right)} a^{2} b^{3} d^{5} f^{2}\right)} x^{3} - 30 \, {\left(7 \, {\left(6 \, p q + 11 \, q^{2}\right)} b^{5} c^{3} d^{2} f^{2} - 5 \, {\left(38 \, p q + 65 \, q^{2}\right)} a b^{4} c^{2} d^{3} f^{2} + 5 \, {\left(67 \, p q + 100 \, q^{2}\right)} a^{2} b^{3} c d^{4} f^{2} - {\left(48 \, p^{2} + 283 \, p q + 300 \, q^{2}\right)} a^{3} b^{2} d^{5} f^{2}\right)} x^{2} - 3600 \, {\left(b^{5} c^{5} f^{2} p q - 5 \, a b^{4} c^{4} d f^{2} p q + 10 \, a^{2} b^{3} c^{3} d^{2} f^{2} p q - 10 \, a^{3} b^{2} c^{2} d^{3} f^{2} p q + 5 \, a^{4} b c d^{4} f^{2} p q\right)} \log\left(b x + a\right) \log\left(d x + c\right) - 1800 \, {\left(b^{5} c^{5} f^{2} q^{2} - 5 \, a b^{4} c^{4} d f^{2} q^{2} + 10 \, a^{2} b^{3} c^{3} d^{2} f^{2} q^{2} - 10 \, a^{3} b^{2} c^{2} d^{3} f^{2} q^{2} + 5 \, a^{4} b c d^{4} f^{2} q^{2}\right)} \log\left(d x + c\right)^{2} + 60 \, {\left({\left(72 \, p q + 137 \, q^{2}\right)} b^{5} c^{4} d f^{2} - 5 \, {\left(66 \, p q + 125 \, q^{2}\right)} a b^{4} c^{3} d^{2} f^{2} + 10 \, {\left(59 \, p q + 110 \, q^{2}\right)} a^{2} b^{3} c^{2} d^{3} f^{2} - 5 \, {\left(101 \, p q + 180 \, q^{2}\right)} a^{3} b^{2} c d^{4} f^{2} + {\left(12 \, p^{2} + 197 \, p q + 300 \, q^{2}\right)} a^{4} b d^{5} f^{2}\right)} x - 60 \, {\left(60 \, a b^{4} c^{4} d f^{2} p q - 270 \, a^{2} b^{3} c^{3} d^{2} f^{2} p q + 470 \, a^{3} b^{2} c^{2} d^{3} f^{2} p q - 385 \, a^{4} b c d^{4} f^{2} p q + {\left(12 \, p^{2} + 137 \, p q\right)} a^{5} d^{5} f^{2}\right)} \log\left(b x + a\right)}{b d^{5}}\right)}}{9000 \, f^{2}}"," ",0,"1/5*(b^4*x^5 + 5*a*b^3*x^4 + 10*a^2*b^2*x^3 + 10*a^3*b*x^2 + 5*a^4*x)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2 + 1/150*(60*a^5*f*p*log(b*x + a)/b - (12*b^4*d^4*f*(p + q)*x^5 + 15*(a*b^3*d^4*f*(4*p + 5*q) - b^4*c*d^3*f*q)*x^4 + 20*(2*a^2*b^2*d^4*f*(3*p + 5*q) + b^4*c^2*d^2*f*q - 5*a*b^3*c*d^3*f*q)*x^3 + 30*(2*a^3*b*d^4*f*(2*p + 5*q) - b^4*c^3*d*f*q + 5*a*b^3*c^2*d^2*f*q - 10*a^2*b^2*c*d^3*f*q)*x^2 + 60*(a^4*d^4*f*(p + 5*q) + b^4*c^4*f*q - 5*a*b^3*c^3*d*f*q + 10*a^2*b^2*c^2*d^2*f*q - 10*a^3*b*c*d^3*f*q)*x)/d^4 + 60*(b^4*c^5*f*q - 5*a*b^3*c^4*d*f*q + 10*a^2*b^2*c^3*d^2*f*q - 10*a^3*b*c^2*d^3*f*q + 5*a^4*c*d^4*f*q)*log(d*x + c)/d^5)*r*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/f - 1/9000*r^2*(60*((12*p*q + 137*q^2)*b^4*c^5*f^2 - 5*(12*p*q + 125*q^2)*a*b^3*c^4*d*f^2 + 20*(6*p*q + 55*q^2)*a^2*b^2*c^3*d^2*f^2 - 60*(2*p*q + 15*q^2)*a^3*b*c^2*d^3*f^2 + 60*(p*q + 5*q^2)*a^4*c*d^4*f^2)*log(d*x + c)/d^5 - 3600*(b^5*c^5*f^2*p*q - 5*a*b^4*c^4*d*f^2*p*q + 10*a^2*b^3*c^3*d^2*f^2*p*q - 10*a^3*b^2*c^2*d^3*f^2*p*q + 5*a^4*b*c*d^4*f^2*p*q - a^5*d^5*f^2*p*q)*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))/(b*d^5) - (144*(p^2 + 2*p*q + q^2)*b^5*d^5*f^2*x^5 - 1800*a^5*d^5*f^2*p^2*log(b*x + a)^2 - 45*(9*(p*q + q^2)*b^5*c*d^4*f^2 - (16*p^2 + 41*p*q + 25*q^2)*a*b^4*d^5*f^2)*x^4 + 20*((32*p*q + 47*q^2)*b^5*c^2*d^3*f^2 - 5*(29*p*q + 35*q^2)*a*b^4*c*d^4*f^2 + (72*p^2 + 257*p*q + 200*q^2)*a^2*b^3*d^5*f^2)*x^3 - 30*(7*(6*p*q + 11*q^2)*b^5*c^3*d^2*f^2 - 5*(38*p*q + 65*q^2)*a*b^4*c^2*d^3*f^2 + 5*(67*p*q + 100*q^2)*a^2*b^3*c*d^4*f^2 - (48*p^2 + 283*p*q + 300*q^2)*a^3*b^2*d^5*f^2)*x^2 - 3600*(b^5*c^5*f^2*p*q - 5*a*b^4*c^4*d*f^2*p*q + 10*a^2*b^3*c^3*d^2*f^2*p*q - 10*a^3*b^2*c^2*d^3*f^2*p*q + 5*a^4*b*c*d^4*f^2*p*q)*log(b*x + a)*log(d*x + c) - 1800*(b^5*c^5*f^2*q^2 - 5*a*b^4*c^4*d*f^2*q^2 + 10*a^2*b^3*c^3*d^2*f^2*q^2 - 10*a^3*b^2*c^2*d^3*f^2*q^2 + 5*a^4*b*c*d^4*f^2*q^2)*log(d*x + c)^2 + 60*((72*p*q + 137*q^2)*b^5*c^4*d*f^2 - 5*(66*p*q + 125*q^2)*a*b^4*c^3*d^2*f^2 + 10*(59*p*q + 110*q^2)*a^2*b^3*c^2*d^3*f^2 - 5*(101*p*q + 180*q^2)*a^3*b^2*c*d^4*f^2 + (12*p^2 + 197*p*q + 300*q^2)*a^4*b*d^5*f^2)*x - 60*(60*a*b^4*c^4*d*f^2*p*q - 270*a^2*b^3*c^3*d^2*f^2*p*q + 470*a^3*b^2*c^2*d^3*f^2*p*q - 385*a^4*b*c*d^4*f^2*p*q + (12*p^2 + 137*p*q)*a^5*d^5*f^2)*log(b*x + a))/(b*d^5))/f^2","A",0
17,1,1071,0,1.192016," ","integrate((b*x+a)^3*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(b^{3} x^{4} + 4 \, a b^{2} x^{3} + 6 \, a^{2} b x^{2} + 4 \, a^{3} x\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2} + \frac{{\left(\frac{12 \, a^{4} f p \log\left(b x + a\right)}{b} - \frac{3 \, b^{3} d^{3} f {\left(p + q\right)} x^{4} + 4 \, {\left(a b^{2} d^{3} f {\left(3 \, p + 4 \, q\right)} - b^{3} c d^{2} f q\right)} x^{3} + 6 \, {\left(3 \, a^{2} b d^{3} f {\left(p + 2 \, q\right)} + b^{3} c^{2} d f q - 4 \, a b^{2} c d^{2} f q\right)} x^{2} + 12 \, {\left(a^{3} d^{3} f {\left(p + 4 \, q\right)} - b^{3} c^{3} f q + 4 \, a b^{2} c^{2} d f q - 6 \, a^{2} b c d^{2} f q\right)} x}{d^{3}} - \frac{12 \, {\left(b^{3} c^{4} f q - 4 \, a b^{2} c^{3} d f q + 6 \, a^{2} b c^{2} d^{2} f q - 4 \, a^{3} c d^{3} f q\right)} \log\left(d x + c\right)}{d^{4}}\right)} r \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{24 \, f} + \frac{r^{2} {\left(\frac{12 \, {\left({\left(3 \, p q + 25 \, q^{2}\right)} b^{3} c^{4} f^{2} - 4 \, {\left(3 \, p q + 22 \, q^{2}\right)} a b^{2} c^{3} d f^{2} + 18 \, {\left(p q + 6 \, q^{2}\right)} a^{2} b c^{2} d^{2} f^{2} - 12 \, {\left(p q + 4 \, q^{2}\right)} a^{3} c d^{3} f^{2}\right)} \log\left(d x + c\right)}{d^{4}} - \frac{144 \, {\left(b^{4} c^{4} f^{2} p q - 4 \, a b^{3} c^{3} d f^{2} p q + 6 \, a^{2} b^{2} c^{2} d^{2} f^{2} p q - 4 \, a^{3} b c d^{3} f^{2} p q + a^{4} d^{4} f^{2} p q\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)}}{b d^{4}} + \frac{9 \, {\left(p^{2} + 2 \, p q + q^{2}\right)} b^{4} d^{4} f^{2} x^{4} - 72 \, a^{4} d^{4} f^{2} p^{2} \log\left(b x + a\right)^{2} - 4 \, {\left(7 \, {\left(p q + q^{2}\right)} b^{4} c d^{3} f^{2} - {\left(9 \, p^{2} + 25 \, p q + 16 \, q^{2}\right)} a b^{3} d^{4} f^{2}\right)} x^{3} + 6 \, {\left({\left(9 \, p q + 13 \, q^{2}\right)} b^{4} c^{2} d^{2} f^{2} - 8 \, {\left(4 \, p q + 5 \, q^{2}\right)} a b^{3} c d^{3} f^{2} + {\left(9 \, p^{2} + 41 \, p q + 36 \, q^{2}\right)} a^{2} b^{2} d^{4} f^{2}\right)} x^{2} + 144 \, {\left(b^{4} c^{4} f^{2} p q - 4 \, a b^{3} c^{3} d f^{2} p q + 6 \, a^{2} b^{2} c^{2} d^{2} f^{2} p q - 4 \, a^{3} b c d^{3} f^{2} p q\right)} \log\left(b x + a\right) \log\left(d x + c\right) + 72 \, {\left(b^{4} c^{4} f^{2} q^{2} - 4 \, a b^{3} c^{3} d f^{2} q^{2} + 6 \, a^{2} b^{2} c^{2} d^{2} f^{2} q^{2} - 4 \, a^{3} b c d^{3} f^{2} q^{2}\right)} \log\left(d x + c\right)^{2} - 12 \, {\left(5 \, {\left(3 \, p q + 5 \, q^{2}\right)} b^{4} c^{3} d f^{2} - 2 \, {\left(27 \, p q + 44 \, q^{2}\right)} a b^{3} c^{2} d^{2} f^{2} + 2 \, {\left(35 \, p q + 54 \, q^{2}\right)} a^{2} b^{2} c d^{3} f^{2} - {\left(3 \, p^{2} + 37 \, p q + 48 \, q^{2}\right)} a^{3} b d^{4} f^{2}\right)} x + 12 \, {\left(12 \, a b^{3} c^{3} d f^{2} p q - 42 \, a^{2} b^{2} c^{2} d^{2} f^{2} p q + 52 \, a^{3} b c d^{3} f^{2} p q - {\left(3 \, p^{2} + 25 \, p q\right)} a^{4} d^{4} f^{2}\right)} \log\left(b x + a\right)}{b d^{4}}\right)}}{288 \, f^{2}}"," ",0,"1/4*(b^3*x^4 + 4*a*b^2*x^3 + 6*a^2*b*x^2 + 4*a^3*x)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2 + 1/24*(12*a^4*f*p*log(b*x + a)/b - (3*b^3*d^3*f*(p + q)*x^4 + 4*(a*b^2*d^3*f*(3*p + 4*q) - b^3*c*d^2*f*q)*x^3 + 6*(3*a^2*b*d^3*f*(p + 2*q) + b^3*c^2*d*f*q - 4*a*b^2*c*d^2*f*q)*x^2 + 12*(a^3*d^3*f*(p + 4*q) - b^3*c^3*f*q + 4*a*b^2*c^2*d*f*q - 6*a^2*b*c*d^2*f*q)*x)/d^3 - 12*(b^3*c^4*f*q - 4*a*b^2*c^3*d*f*q + 6*a^2*b*c^2*d^2*f*q - 4*a^3*c*d^3*f*q)*log(d*x + c)/d^4)*r*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/f + 1/288*r^2*(12*((3*p*q + 25*q^2)*b^3*c^4*f^2 - 4*(3*p*q + 22*q^2)*a*b^2*c^3*d*f^2 + 18*(p*q + 6*q^2)*a^2*b*c^2*d^2*f^2 - 12*(p*q + 4*q^2)*a^3*c*d^3*f^2)*log(d*x + c)/d^4 - 144*(b^4*c^4*f^2*p*q - 4*a*b^3*c^3*d*f^2*p*q + 6*a^2*b^2*c^2*d^2*f^2*p*q - 4*a^3*b*c*d^3*f^2*p*q + a^4*d^4*f^2*p*q)*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))/(b*d^4) + (9*(p^2 + 2*p*q + q^2)*b^4*d^4*f^2*x^4 - 72*a^4*d^4*f^2*p^2*log(b*x + a)^2 - 4*(7*(p*q + q^2)*b^4*c*d^3*f^2 - (9*p^2 + 25*p*q + 16*q^2)*a*b^3*d^4*f^2)*x^3 + 6*((9*p*q + 13*q^2)*b^4*c^2*d^2*f^2 - 8*(4*p*q + 5*q^2)*a*b^3*c*d^3*f^2 + (9*p^2 + 41*p*q + 36*q^2)*a^2*b^2*d^4*f^2)*x^2 + 144*(b^4*c^4*f^2*p*q - 4*a*b^3*c^3*d*f^2*p*q + 6*a^2*b^2*c^2*d^2*f^2*p*q - 4*a^3*b*c*d^3*f^2*p*q)*log(b*x + a)*log(d*x + c) + 72*(b^4*c^4*f^2*q^2 - 4*a*b^3*c^3*d*f^2*q^2 + 6*a^2*b^2*c^2*d^2*f^2*q^2 - 4*a^3*b*c*d^3*f^2*q^2)*log(d*x + c)^2 - 12*(5*(3*p*q + 5*q^2)*b^4*c^3*d*f^2 - 2*(27*p*q + 44*q^2)*a*b^3*c^2*d^2*f^2 + 2*(35*p*q + 54*q^2)*a^2*b^2*c*d^3*f^2 - (3*p^2 + 37*p*q + 48*q^2)*a^3*b*d^4*f^2)*x + 12*(12*a*b^3*c^3*d*f^2*p*q - 42*a^2*b^2*c^2*d^2*f^2*p*q + 52*a^3*b*c*d^3*f^2*p*q - (3*p^2 + 25*p*q)*a^4*d^4*f^2)*log(b*x + a))/(b*d^4))/f^2","A",0
18,1,769,0,0.879240," ","integrate((b*x+a)^2*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(b^{2} x^{3} + 3 \, a b x^{2} + 3 \, a^{2} x\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2} + \frac{{\left(\frac{6 \, a^{3} f p \log\left(b x + a\right)}{b} - \frac{2 \, b^{2} d^{2} f {\left(p + q\right)} x^{3} + 3 \, {\left(a b d^{2} f {\left(2 \, p + 3 \, q\right)} - b^{2} c d f q\right)} x^{2} + 6 \, {\left(a^{2} d^{2} f {\left(p + 3 \, q\right)} + b^{2} c^{2} f q - 3 \, a b c d f q\right)} x}{d^{2}} + \frac{6 \, {\left(b^{2} c^{3} f q - 3 \, a b c^{2} d f q + 3 \, a^{2} c d^{2} f q\right)} \log\left(d x + c\right)}{d^{3}}\right)} r \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{9 \, f} - \frac{r^{2} {\left(\frac{6 \, {\left({\left(2 \, p q + 11 \, q^{2}\right)} b^{2} c^{3} f^{2} - 3 \, {\left(2 \, p q + 9 \, q^{2}\right)} a b c^{2} d f^{2} + 6 \, {\left(p q + 3 \, q^{2}\right)} a^{2} c d^{2} f^{2}\right)} \log\left(d x + c\right)}{d^{3}} - \frac{36 \, {\left(b^{3} c^{3} f^{2} p q - 3 \, a b^{2} c^{2} d f^{2} p q + 3 \, a^{2} b c d^{2} f^{2} p q - a^{3} d^{3} f^{2} p q\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)}}{b d^{3}} - \frac{4 \, {\left(p^{2} + 2 \, p q + q^{2}\right)} b^{3} d^{3} f^{2} x^{3} - 18 \, a^{3} d^{3} f^{2} p^{2} \log\left(b x + a\right)^{2} - 3 \, {\left(5 \, {\left(p q + q^{2}\right)} b^{3} c d^{2} f^{2} - {\left(4 \, p^{2} + 13 \, p q + 9 \, q^{2}\right)} a b^{2} d^{3} f^{2}\right)} x^{2} - 36 \, {\left(b^{3} c^{3} f^{2} p q - 3 \, a b^{2} c^{2} d f^{2} p q + 3 \, a^{2} b c d^{2} f^{2} p q\right)} \log\left(b x + a\right) \log\left(d x + c\right) - 18 \, {\left(b^{3} c^{3} f^{2} q^{2} - 3 \, a b^{2} c^{2} d f^{2} q^{2} + 3 \, a^{2} b c d^{2} f^{2} q^{2}\right)} \log\left(d x + c\right)^{2} + 6 \, {\left({\left(8 \, p q + 11 \, q^{2}\right)} b^{3} c^{2} d f^{2} - 3 \, {\left(7 \, p q + 9 \, q^{2}\right)} a b^{2} c d^{2} f^{2} + {\left(2 \, p^{2} + 17 \, p q + 18 \, q^{2}\right)} a^{2} b d^{3} f^{2}\right)} x - 6 \, {\left(6 \, a b^{2} c^{2} d f^{2} p q - 15 \, a^{2} b c d^{2} f^{2} p q + {\left(2 \, p^{2} + 11 \, p q\right)} a^{3} d^{3} f^{2}\right)} \log\left(b x + a\right)}{b d^{3}}\right)}}{54 \, f^{2}}"," ",0,"1/3*(b^2*x^3 + 3*a*b*x^2 + 3*a^2*x)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2 + 1/9*(6*a^3*f*p*log(b*x + a)/b - (2*b^2*d^2*f*(p + q)*x^3 + 3*(a*b*d^2*f*(2*p + 3*q) - b^2*c*d*f*q)*x^2 + 6*(a^2*d^2*f*(p + 3*q) + b^2*c^2*f*q - 3*a*b*c*d*f*q)*x)/d^2 + 6*(b^2*c^3*f*q - 3*a*b*c^2*d*f*q + 3*a^2*c*d^2*f*q)*log(d*x + c)/d^3)*r*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/f - 1/54*r^2*(6*((2*p*q + 11*q^2)*b^2*c^3*f^2 - 3*(2*p*q + 9*q^2)*a*b*c^2*d*f^2 + 6*(p*q + 3*q^2)*a^2*c*d^2*f^2)*log(d*x + c)/d^3 - 36*(b^3*c^3*f^2*p*q - 3*a*b^2*c^2*d*f^2*p*q + 3*a^2*b*c*d^2*f^2*p*q - a^3*d^3*f^2*p*q)*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))/(b*d^3) - (4*(p^2 + 2*p*q + q^2)*b^3*d^3*f^2*x^3 - 18*a^3*d^3*f^2*p^2*log(b*x + a)^2 - 3*(5*(p*q + q^2)*b^3*c*d^2*f^2 - (4*p^2 + 13*p*q + 9*q^2)*a*b^2*d^3*f^2)*x^2 - 36*(b^3*c^3*f^2*p*q - 3*a*b^2*c^2*d*f^2*p*q + 3*a^2*b*c*d^2*f^2*p*q)*log(b*x + a)*log(d*x + c) - 18*(b^3*c^3*f^2*q^2 - 3*a*b^2*c^2*d*f^2*q^2 + 3*a^2*b*c*d^2*f^2*q^2)*log(d*x + c)^2 + 6*((8*p*q + 11*q^2)*b^3*c^2*d*f^2 - 3*(7*p*q + 9*q^2)*a*b^2*c*d^2*f^2 + (2*p^2 + 17*p*q + 18*q^2)*a^2*b*d^3*f^2)*x - 6*(6*a*b^2*c^2*d*f^2*p*q - 15*a^2*b*c*d^2*f^2*p*q + (2*p^2 + 11*p*q)*a^3*d^3*f^2)*log(b*x + a))/(b*d^3))/f^2","A",0
19,1,504,0,1.130022," ","integrate((b*x+a)*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(b x^{2} + 2 \, a x\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2} + \frac{{\left(\frac{2 \, a^{2} f p \log\left(b x + a\right)}{b} - \frac{b d f {\left(p + q\right)} x^{2} + 2 \, {\left(a d f {\left(p + 2 \, q\right)} - b c f q\right)} x}{d} - \frac{2 \, {\left(b c^{2} f q - 2 \, a c d f q\right)} \log\left(d x + c\right)}{d^{2}}\right)} r \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{2 \, f} + \frac{r^{2} {\left(\frac{2 \, {\left({\left(p q + 3 \, q^{2}\right)} b c^{2} f^{2} - 2 \, {\left(p q + 2 \, q^{2}\right)} a c d f^{2}\right)} \log\left(d x + c\right)}{d^{2}} - \frac{4 \, {\left(b^{2} c^{2} f^{2} p q - 2 \, a b c d f^{2} p q + a^{2} d^{2} f^{2} p q\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)}}{b d^{2}} - \frac{2 \, a^{2} d^{2} f^{2} p^{2} \log\left(b x + a\right)^{2} - {\left(p^{2} + 2 \, p q + q^{2}\right)} b^{2} d^{2} f^{2} x^{2} - 4 \, {\left(b^{2} c^{2} f^{2} p q - 2 \, a b c d f^{2} p q\right)} \log\left(b x + a\right) \log\left(d x + c\right) - 2 \, {\left(b^{2} c^{2} f^{2} q^{2} - 2 \, a b c d f^{2} q^{2}\right)} \log\left(d x + c\right)^{2} + 2 \, {\left(3 \, {\left(p q + q^{2}\right)} b^{2} c d f^{2} - {\left(p^{2} + 5 \, p q + 4 \, q^{2}\right)} a b d^{2} f^{2}\right)} x - 2 \, {\left(2 \, a b c d f^{2} p q - {\left(p^{2} + 3 \, p q\right)} a^{2} d^{2} f^{2}\right)} \log\left(b x + a\right)}{b d^{2}}\right)}}{4 \, f^{2}}"," ",0,"1/2*(b*x^2 + 2*a*x)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2 + 1/2*(2*a^2*f*p*log(b*x + a)/b - (b*d*f*(p + q)*x^2 + 2*(a*d*f*(p + 2*q) - b*c*f*q)*x)/d - 2*(b*c^2*f*q - 2*a*c*d*f*q)*log(d*x + c)/d^2)*r*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/f + 1/4*r^2*(2*((p*q + 3*q^2)*b*c^2*f^2 - 2*(p*q + 2*q^2)*a*c*d*f^2)*log(d*x + c)/d^2 - 4*(b^2*c^2*f^2*p*q - 2*a*b*c*d*f^2*p*q + a^2*d^2*f^2*p*q)*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))/(b*d^2) - (2*a^2*d^2*f^2*p^2*log(b*x + a)^2 - (p^2 + 2*p*q + q^2)*b^2*d^2*f^2*x^2 - 4*(b^2*c^2*f^2*p*q - 2*a*b*c*d*f^2*p*q)*log(b*x + a)*log(d*x + c) - 2*(b^2*c^2*f^2*q^2 - 2*a*b*c*d*f^2*q^2)*log(d*x + c)^2 + 2*(3*(p*q + q^2)*b^2*c*d*f^2 - (p^2 + 5*p*q + 4*q^2)*a*b*d^2*f^2)*x - 2*(2*a*b*c*d*f^2*p*q - (p^2 + 3*p*q)*a^2*d^2*f^2)*log(b*x + a))/(b*d^2))/f^2","A",0
20,0,0,0,0.000000," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2/(b*x+a),x, algorithm=""maxima"")","\frac{\log\left(b x + a\right) \log\left({\left({\left(d x + c\right)}^{q}\right)}^{r}\right)^{2}}{b} + \int \frac{{\left(r^{2} \log\left(f\right)^{2} + 2 \, r \log\left(e\right) \log\left(f\right) + \log\left(e\right)^{2}\right)} b d x + {\left(r^{2} \log\left(f\right)^{2} + 2 \, r \log\left(e\right) \log\left(f\right) + \log\left(e\right)^{2}\right)} b c + {\left(b d x + b c\right)} \log\left({\left({\left(b x + a\right)}^{p}\right)}^{r}\right)^{2} + 2 \, {\left({\left(r \log\left(f\right) + \log\left(e\right)\right)} b d x + {\left(r \log\left(f\right) + \log\left(e\right)\right)} b c\right)} \log\left({\left({\left(b x + a\right)}^{p}\right)}^{r}\right) + 2 \, {\left({\left(r \log\left(f\right) + \log\left(e\right)\right)} b d x + {\left(r \log\left(f\right) + \log\left(e\right)\right)} b c - {\left(b d q r x + a d q r\right)} \log\left(b x + a\right) + {\left(b d x + b c\right)} \log\left({\left({\left(b x + a\right)}^{p}\right)}^{r}\right)\right)} \log\left({\left({\left(d x + c\right)}^{q}\right)}^{r}\right)}{b^{2} d x^{2} + a b c + {\left(b^{2} c + a b d\right)} x}\,{d x}"," ",0,"log(b*x + a)*log(((d*x + c)^q)^r)^2/b + integrate(((r^2*log(f)^2 + 2*r*log(e)*log(f) + log(e)^2)*b*d*x + (r^2*log(f)^2 + 2*r*log(e)*log(f) + log(e)^2)*b*c + (b*d*x + b*c)*log(((b*x + a)^p)^r)^2 + 2*((r*log(f) + log(e))*b*d*x + (r*log(f) + log(e))*b*c)*log(((b*x + a)^p)^r) + 2*((r*log(f) + log(e))*b*d*x + (r*log(f) + log(e))*b*c - (b*d*q*r*x + a*d*q*r)*log(b*x + a) + (b*d*x + b*c)*log(((b*x + a)^p)^r))*log(((d*x + c)^q)^r))/(b^2*d*x^2 + a*b*c + (b^2*c + a*b*d)*x), x)","F",0
21,1,392,0,0.894809," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2/(b*x+a)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{d f q \log\left(b x + a\right)}{b c - a d} - \frac{d f q \log\left(d x + c\right)}{b c - a d} - \frac{f p}{b x + a}\right)} r \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{b f} - \frac{{\left(\frac{2 \, d f^{2} p q \log\left(d x + c\right)}{b c - a d} + \frac{2 \, {\left(p q + q^{2}\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)} d f^{2}}{b c - a d} + \frac{2 \, b c f^{2} p^{2} - 2 \, a d f^{2} p^{2} + {\left(b d f^{2} p q x + a d f^{2} p q\right)} \log\left(b x + a\right)^{2} - 2 \, {\left(b d f^{2} p q x + a d f^{2} p q\right)} \log\left(b x + a\right) \log\left(d x + c\right) - {\left(b d f^{2} q^{2} x + a d f^{2} q^{2}\right)} \log\left(d x + c\right)^{2} - 2 \, {\left(b d f^{2} p q x + a d f^{2} p q\right)} \log\left(b x + a\right)}{a b c - a^{2} d + {\left(b^{2} c - a b d\right)} x}\right)} r^{2}}{b f^{2}} - \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2}}{{\left(b x + a\right)} b}"," ",0,"2*(d*f*q*log(b*x + a)/(b*c - a*d) - d*f*q*log(d*x + c)/(b*c - a*d) - f*p/(b*x + a))*r*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/(b*f) - (2*d*f^2*p*q*log(d*x + c)/(b*c - a*d) + 2*(p*q + q^2)*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))*d*f^2/(b*c - a*d) + (2*b*c*f^2*p^2 - 2*a*d*f^2*p^2 + (b*d*f^2*p*q*x + a*d*f^2*p*q)*log(b*x + a)^2 - 2*(b*d*f^2*p*q*x + a*d*f^2*p*q)*log(b*x + a)*log(d*x + c) - (b*d*f^2*q^2*x + a*d*f^2*q^2)*log(d*x + c)^2 - 2*(b*d*f^2*p*q*x + a*d*f^2*p*q)*log(b*x + a))/(a*b*c - a^2*d + (b^2*c - a*b*d)*x))*r^2/(b*f^2) - log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2/((b*x + a)*b)","A",0
22,1,755,0,1.097648," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2/(b*x+a)^3,x, algorithm=""maxima"")","-\frac{{\left(\frac{2 \, d^{2} f q \log\left(b x + a\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} - \frac{2 \, d^{2} f q \log\left(d x + c\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} + \frac{2 \, b d f q x - a d f {\left(p - 2 \, q\right)} + b c f p}{a^{2} b c - a^{3} d + {\left(b^{3} c - a b^{2} d\right)} x^{2} + 2 \, {\left(a b^{2} c - a^{2} b d\right)} x}\right)} r \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{2 \, b f} + \frac{{\left(\frac{4 \, {\left(p q + q^{2}\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)} d^{2} f^{2}}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} + \frac{2 \, {\left(p q - 2 \, q^{2}\right)} d^{2} f^{2} \log\left(d x + c\right)}{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}} - \frac{b^{2} c^{2} f^{2} p^{2} - 2 \, {\left(p^{2} - 3 \, p q\right)} a b c d f^{2} + {\left(p^{2} - 6 \, p q\right)} a^{2} d^{2} f^{2} - 2 \, {\left(b^{2} d^{2} f^{2} p q x^{2} + 2 \, a b d^{2} f^{2} p q x + a^{2} d^{2} f^{2} p q\right)} \log\left(b x + a\right)^{2} + 4 \, {\left(b^{2} d^{2} f^{2} p q x^{2} + 2 \, a b d^{2} f^{2} p q x + a^{2} d^{2} f^{2} p q\right)} \log\left(b x + a\right) \log\left(d x + c\right) + 2 \, {\left(b^{2} d^{2} f^{2} q^{2} x^{2} + 2 \, a b d^{2} f^{2} q^{2} x + a^{2} d^{2} f^{2} q^{2}\right)} \log\left(d x + c\right)^{2} + 6 \, {\left(b^{2} c d f^{2} p q - a b d^{2} f^{2} p q\right)} x + 2 \, {\left({\left(p q - 2 \, q^{2}\right)} b^{2} d^{2} f^{2} x^{2} + 2 \, {\left(p q - 2 \, q^{2}\right)} a b d^{2} f^{2} x + {\left(p q - 2 \, q^{2}\right)} a^{2} d^{2} f^{2}\right)} \log\left(b x + a\right)}{a^{2} b^{2} c^{2} - 2 \, a^{3} b c d + a^{4} d^{2} + {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} x^{2} + 2 \, {\left(a b^{3} c^{2} - 2 \, a^{2} b^{2} c d + a^{3} b d^{2}\right)} x}\right)} r^{2}}{4 \, b f^{2}} - \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2}}{2 \, {\left(b x + a\right)}^{2} b}"," ",0,"-1/2*(2*d^2*f*q*log(b*x + a)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) - 2*d^2*f*q*log(d*x + c)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) + (2*b*d*f*q*x - a*d*f*(p - 2*q) + b*c*f*p)/(a^2*b*c - a^3*d + (b^3*c - a*b^2*d)*x^2 + 2*(a*b^2*c - a^2*b*d)*x))*r*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/(b*f) + 1/4*(4*(p*q + q^2)*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))*d^2*f^2/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) + 2*(p*q - 2*q^2)*d^2*f^2*log(d*x + c)/(b^2*c^2 - 2*a*b*c*d + a^2*d^2) - (b^2*c^2*f^2*p^2 - 2*(p^2 - 3*p*q)*a*b*c*d*f^2 + (p^2 - 6*p*q)*a^2*d^2*f^2 - 2*(b^2*d^2*f^2*p*q*x^2 + 2*a*b*d^2*f^2*p*q*x + a^2*d^2*f^2*p*q)*log(b*x + a)^2 + 4*(b^2*d^2*f^2*p*q*x^2 + 2*a*b*d^2*f^2*p*q*x + a^2*d^2*f^2*p*q)*log(b*x + a)*log(d*x + c) + 2*(b^2*d^2*f^2*q^2*x^2 + 2*a*b*d^2*f^2*q^2*x + a^2*d^2*f^2*q^2)*log(d*x + c)^2 + 6*(b^2*c*d*f^2*p*q - a*b*d^2*f^2*p*q)*x + 2*((p*q - 2*q^2)*b^2*d^2*f^2*x^2 + 2*(p*q - 2*q^2)*a*b*d^2*f^2*x + (p*q - 2*q^2)*a^2*d^2*f^2)*log(b*x + a))/(a^2*b^2*c^2 - 2*a^3*b*c*d + a^4*d^2 + (b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*x^2 + 2*(a*b^3*c^2 - 2*a^2*b^2*c*d + a^3*b*d^2)*x))*r^2/(b*f^2) - 1/2*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2/((b*x + a)^2*b)","A",0
23,1,1252,0,1.726740," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2/(b*x+a)^4,x, algorithm=""maxima"")","\frac{{\left(\frac{6 \, d^{3} f q \log\left(b x + a\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} - \frac{6 \, d^{3} f q \log\left(d x + c\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} + \frac{6 \, b^{2} d^{2} f q x^{2} + a b c d f {\left(4 \, p - 3 \, q\right)} - a^{2} d^{2} f {\left(2 \, p - 9 \, q\right)} - 2 \, b^{2} c^{2} f p - 3 \, {\left(b^{2} c d f q - 5 \, a b d^{2} f q\right)} x}{a^{3} b^{2} c^{2} - 2 \, a^{4} b c d + a^{5} d^{2} + {\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} x^{3} + 3 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} x^{2} + 3 \, {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2}\right)} x}\right)} r \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{9 \, b f} - \frac{{\left(\frac{36 \, {\left(p q + q^{2}\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)} d^{3} f^{2}}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} + \frac{6 \, {\left(2 \, p q - 9 \, q^{2}\right)} d^{3} f^{2} \log\left(d x + c\right)}{b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}} + \frac{4 \, b^{3} c^{3} f^{2} p^{2} - 3 \, {\left(4 \, p^{2} - 5 \, p q\right)} a b^{2} c^{2} d f^{2} + 6 \, {\left(2 \, p^{2} - 13 \, p q + 3 \, q^{2}\right)} a^{2} b c d^{2} f^{2} - {\left(4 \, p^{2} - 63 \, p q + 18 \, q^{2}\right)} a^{3} d^{3} f^{2} - 6 \, {\left({\left(8 \, p q - 3 \, q^{2}\right)} b^{3} c d^{2} f^{2} - {\left(8 \, p q - 3 \, q^{2}\right)} a b^{2} d^{3} f^{2}\right)} x^{2} + 18 \, {\left(b^{3} d^{3} f^{2} p q x^{3} + 3 \, a b^{2} d^{3} f^{2} p q x^{2} + 3 \, a^{2} b d^{3} f^{2} p q x + a^{3} d^{3} f^{2} p q\right)} \log\left(b x + a\right)^{2} - 36 \, {\left(b^{3} d^{3} f^{2} p q x^{3} + 3 \, a b^{2} d^{3} f^{2} p q x^{2} + 3 \, a^{2} b d^{3} f^{2} p q x + a^{3} d^{3} f^{2} p q\right)} \log\left(b x + a\right) \log\left(d x + c\right) - 18 \, {\left(b^{3} d^{3} f^{2} q^{2} x^{3} + 3 \, a b^{2} d^{3} f^{2} q^{2} x^{2} + 3 \, a^{2} b d^{3} f^{2} q^{2} x + a^{3} d^{3} f^{2} q^{2}\right)} \log\left(d x + c\right)^{2} + 3 \, {\left(5 \, b^{3} c^{2} d f^{2} p q - 6 \, {\left(7 \, p q - 2 \, q^{2}\right)} a b^{2} c d^{2} f^{2} + {\left(37 \, p q - 12 \, q^{2}\right)} a^{2} b d^{3} f^{2}\right)} x - 6 \, {\left({\left(2 \, p q - 9 \, q^{2}\right)} b^{3} d^{3} f^{2} x^{3} + 3 \, {\left(2 \, p q - 9 \, q^{2}\right)} a b^{2} d^{3} f^{2} x^{2} + 3 \, {\left(2 \, p q - 9 \, q^{2}\right)} a^{2} b d^{3} f^{2} x + {\left(2 \, p q - 9 \, q^{2}\right)} a^{3} d^{3} f^{2}\right)} \log\left(b x + a\right)}{a^{3} b^{3} c^{3} - 3 \, a^{4} b^{2} c^{2} d + 3 \, a^{5} b c d^{2} - a^{6} d^{3} + {\left(b^{6} c^{3} - 3 \, a b^{5} c^{2} d + 3 \, a^{2} b^{4} c d^{2} - a^{3} b^{3} d^{3}\right)} x^{3} + 3 \, {\left(a b^{5} c^{3} - 3 \, a^{2} b^{4} c^{2} d + 3 \, a^{3} b^{3} c d^{2} - a^{4} b^{2} d^{3}\right)} x^{2} + 3 \, {\left(a^{2} b^{4} c^{3} - 3 \, a^{3} b^{3} c^{2} d + 3 \, a^{4} b^{2} c d^{2} - a^{5} b d^{3}\right)} x}\right)} r^{2}}{54 \, b f^{2}} - \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2}}{3 \, {\left(b x + a\right)}^{3} b}"," ",0,"1/9*(6*d^3*f*q*log(b*x + a)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) - 6*d^3*f*q*log(d*x + c)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) + (6*b^2*d^2*f*q*x^2 + a*b*c*d*f*(4*p - 3*q) - a^2*d^2*f*(2*p - 9*q) - 2*b^2*c^2*f*p - 3*(b^2*c*d*f*q - 5*a*b*d^2*f*q)*x)/(a^3*b^2*c^2 - 2*a^4*b*c*d + a^5*d^2 + (b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*x^3 + 3*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*x^2 + 3*(a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2)*x))*r*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/(b*f) - 1/54*(36*(p*q + q^2)*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))*d^3*f^2/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) + 6*(2*p*q - 9*q^2)*d^3*f^2*log(d*x + c)/(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3) + (4*b^3*c^3*f^2*p^2 - 3*(4*p^2 - 5*p*q)*a*b^2*c^2*d*f^2 + 6*(2*p^2 - 13*p*q + 3*q^2)*a^2*b*c*d^2*f^2 - (4*p^2 - 63*p*q + 18*q^2)*a^3*d^3*f^2 - 6*((8*p*q - 3*q^2)*b^3*c*d^2*f^2 - (8*p*q - 3*q^2)*a*b^2*d^3*f^2)*x^2 + 18*(b^3*d^3*f^2*p*q*x^3 + 3*a*b^2*d^3*f^2*p*q*x^2 + 3*a^2*b*d^3*f^2*p*q*x + a^3*d^3*f^2*p*q)*log(b*x + a)^2 - 36*(b^3*d^3*f^2*p*q*x^3 + 3*a*b^2*d^3*f^2*p*q*x^2 + 3*a^2*b*d^3*f^2*p*q*x + a^3*d^3*f^2*p*q)*log(b*x + a)*log(d*x + c) - 18*(b^3*d^3*f^2*q^2*x^3 + 3*a*b^2*d^3*f^2*q^2*x^2 + 3*a^2*b*d^3*f^2*q^2*x + a^3*d^3*f^2*q^2)*log(d*x + c)^2 + 3*(5*b^3*c^2*d*f^2*p*q - 6*(7*p*q - 2*q^2)*a*b^2*c*d^2*f^2 + (37*p*q - 12*q^2)*a^2*b*d^3*f^2)*x - 6*((2*p*q - 9*q^2)*b^3*d^3*f^2*x^3 + 3*(2*p*q - 9*q^2)*a*b^2*d^3*f^2*x^2 + 3*(2*p*q - 9*q^2)*a^2*b*d^3*f^2*x + (2*p*q - 9*q^2)*a^3*d^3*f^2)*log(b*x + a))/(a^3*b^3*c^3 - 3*a^4*b^2*c^2*d + 3*a^5*b*c*d^2 - a^6*d^3 + (b^6*c^3 - 3*a*b^5*c^2*d + 3*a^2*b^4*c*d^2 - a^3*b^3*d^3)*x^3 + 3*(a*b^5*c^3 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 - a^4*b^2*d^3)*x^2 + 3*(a^2*b^4*c^3 - 3*a^3*b^3*c^2*d + 3*a^4*b^2*c*d^2 - a^5*b*d^3)*x))*r^2/(b*f^2) - 1/3*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2/((b*x + a)^3*b)","A",0
24,1,1816,0,1.674670," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2/(b*x+a)^5,x, algorithm=""maxima"")","-\frac{{\left(\frac{12 \, d^{4} f q \log\left(b x + a\right)}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} - \frac{12 \, d^{4} f q \log\left(d x + c\right)}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} + \frac{12 \, b^{3} d^{3} f q x^{3} - a b^{2} c^{2} d f {\left(9 \, p - 4 \, q\right)} + a^{2} b c d^{2} f {\left(9 \, p - 14 \, q\right)} - a^{3} d^{3} f {\left(3 \, p - 22 \, q\right)} + 3 \, b^{3} c^{3} f p - 6 \, {\left(b^{3} c d^{2} f q - 7 \, a b^{2} d^{3} f q\right)} x^{2} + 4 \, {\left(b^{3} c^{2} d f q - 5 \, a b^{2} c d^{2} f q + 13 \, a^{2} b d^{3} f q\right)} x}{a^{4} b^{3} c^{3} - 3 \, a^{5} b^{2} c^{2} d + 3 \, a^{6} b c d^{2} - a^{7} d^{3} + {\left(b^{7} c^{3} - 3 \, a b^{6} c^{2} d + 3 \, a^{2} b^{5} c d^{2} - a^{3} b^{4} d^{3}\right)} x^{4} + 4 \, {\left(a b^{6} c^{3} - 3 \, a^{2} b^{5} c^{2} d + 3 \, a^{3} b^{4} c d^{2} - a^{4} b^{3} d^{3}\right)} x^{3} + 6 \, {\left(a^{2} b^{5} c^{3} - 3 \, a^{3} b^{4} c^{2} d + 3 \, a^{4} b^{3} c d^{2} - a^{5} b^{2} d^{3}\right)} x^{2} + 4 \, {\left(a^{3} b^{4} c^{3} - 3 \, a^{4} b^{3} c^{2} d + 3 \, a^{5} b^{2} c d^{2} - a^{6} b d^{3}\right)} x}\right)} r \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{24 \, b f} + \frac{{\left(\frac{144 \, {\left(p q + q^{2}\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)} d^{4} f^{2}}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} + \frac{12 \, {\left(3 \, p q - 22 \, q^{2}\right)} d^{4} f^{2} \log\left(d x + c\right)}{b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}} - \frac{9 \, b^{4} c^{4} f^{2} p^{2} - 4 \, {\left(9 \, p^{2} - 7 \, p q\right)} a b^{3} c^{3} d f^{2} + 6 \, {\left(9 \, p^{2} - 23 \, p q + 4 \, q^{2}\right)} a^{2} b^{2} c^{2} d^{2} f^{2} - 12 \, {\left(3 \, p^{2} - 31 \, p q + 14 \, q^{2}\right)} a^{3} b c d^{3} f^{2} + {\left(9 \, p^{2} - 262 \, p q + 144 \, q^{2}\right)} a^{4} d^{4} f^{2} + 60 \, {\left({\left(3 \, p q - 2 \, q^{2}\right)} b^{4} c d^{3} f^{2} - {\left(3 \, p q - 2 \, q^{2}\right)} a b^{3} d^{4} f^{2}\right)} x^{3} - 6 \, {\left({\left(9 \, p q - 4 \, q^{2}\right)} b^{4} c^{2} d^{2} f^{2} - 4 \, {\left(27 \, p q - 17 \, q^{2}\right)} a b^{3} c d^{3} f^{2} + {\left(99 \, p q - 64 \, q^{2}\right)} a^{2} b^{2} d^{4} f^{2}\right)} x^{2} - 72 \, {\left(b^{4} d^{4} f^{2} p q x^{4} + 4 \, a b^{3} d^{4} f^{2} p q x^{3} + 6 \, a^{2} b^{2} d^{4} f^{2} p q x^{2} + 4 \, a^{3} b d^{4} f^{2} p q x + a^{4} d^{4} f^{2} p q\right)} \log\left(b x + a\right)^{2} + 144 \, {\left(b^{4} d^{4} f^{2} p q x^{4} + 4 \, a b^{3} d^{4} f^{2} p q x^{3} + 6 \, a^{2} b^{2} d^{4} f^{2} p q x^{2} + 4 \, a^{3} b d^{4} f^{2} p q x + a^{4} d^{4} f^{2} p q\right)} \log\left(b x + a\right) \log\left(d x + c\right) + 72 \, {\left(b^{4} d^{4} f^{2} q^{2} x^{4} + 4 \, a b^{3} d^{4} f^{2} q^{2} x^{3} + 6 \, a^{2} b^{2} d^{4} f^{2} q^{2} x^{2} + 4 \, a^{3} b d^{4} f^{2} q^{2} x + a^{4} d^{4} f^{2} q^{2}\right)} \log\left(d x + c\right)^{2} + 4 \, {\left(7 \, b^{4} c^{3} d f^{2} p q - 12 \, {\left(4 \, p q - q^{2}\right)} a b^{3} c^{2} d^{2} f^{2} + 6 \, {\left(35 \, p q - 19 \, q^{2}\right)} a^{2} b^{2} c d^{3} f^{2} - {\left(169 \, p q - 102 \, q^{2}\right)} a^{3} b d^{4} f^{2}\right)} x + 12 \, {\left({\left(3 \, p q - 22 \, q^{2}\right)} b^{4} d^{4} f^{2} x^{4} + 4 \, {\left(3 \, p q - 22 \, q^{2}\right)} a b^{3} d^{4} f^{2} x^{3} + 6 \, {\left(3 \, p q - 22 \, q^{2}\right)} a^{2} b^{2} d^{4} f^{2} x^{2} + 4 \, {\left(3 \, p q - 22 \, q^{2}\right)} a^{3} b d^{4} f^{2} x + {\left(3 \, p q - 22 \, q^{2}\right)} a^{4} d^{4} f^{2}\right)} \log\left(b x + a\right)}{a^{4} b^{4} c^{4} - 4 \, a^{5} b^{3} c^{3} d + 6 \, a^{6} b^{2} c^{2} d^{2} - 4 \, a^{7} b c d^{3} + a^{8} d^{4} + {\left(b^{8} c^{4} - 4 \, a b^{7} c^{3} d + 6 \, a^{2} b^{6} c^{2} d^{2} - 4 \, a^{3} b^{5} c d^{3} + a^{4} b^{4} d^{4}\right)} x^{4} + 4 \, {\left(a b^{7} c^{4} - 4 \, a^{2} b^{6} c^{3} d + 6 \, a^{3} b^{5} c^{2} d^{2} - 4 \, a^{4} b^{4} c d^{3} + a^{5} b^{3} d^{4}\right)} x^{3} + 6 \, {\left(a^{2} b^{6} c^{4} - 4 \, a^{3} b^{5} c^{3} d + 6 \, a^{4} b^{4} c^{2} d^{2} - 4 \, a^{5} b^{3} c d^{3} + a^{6} b^{2} d^{4}\right)} x^{2} + 4 \, {\left(a^{3} b^{5} c^{4} - 4 \, a^{4} b^{4} c^{3} d + 6 \, a^{5} b^{3} c^{2} d^{2} - 4 \, a^{6} b^{2} c d^{3} + a^{7} b d^{4}\right)} x}\right)} r^{2}}{288 \, b f^{2}} - \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2}}{4 \, {\left(b x + a\right)}^{4} b}"," ",0,"-1/24*(12*d^4*f*q*log(b*x + a)/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) - 12*d^4*f*q*log(d*x + c)/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) + (12*b^3*d^3*f*q*x^3 - a*b^2*c^2*d*f*(9*p - 4*q) + a^2*b*c*d^2*f*(9*p - 14*q) - a^3*d^3*f*(3*p - 22*q) + 3*b^3*c^3*f*p - 6*(b^3*c*d^2*f*q - 7*a*b^2*d^3*f*q)*x^2 + 4*(b^3*c^2*d*f*q - 5*a*b^2*c*d^2*f*q + 13*a^2*b*d^3*f*q)*x)/(a^4*b^3*c^3 - 3*a^5*b^2*c^2*d + 3*a^6*b*c*d^2 - a^7*d^3 + (b^7*c^3 - 3*a*b^6*c^2*d + 3*a^2*b^5*c*d^2 - a^3*b^4*d^3)*x^4 + 4*(a*b^6*c^3 - 3*a^2*b^5*c^2*d + 3*a^3*b^4*c*d^2 - a^4*b^3*d^3)*x^3 + 6*(a^2*b^5*c^3 - 3*a^3*b^4*c^2*d + 3*a^4*b^3*c*d^2 - a^5*b^2*d^3)*x^2 + 4*(a^3*b^4*c^3 - 3*a^4*b^3*c^2*d + 3*a^5*b^2*c*d^2 - a^6*b*d^3)*x))*r*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/(b*f) + 1/288*(144*(p*q + q^2)*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))*d^4*f^2/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) + 12*(3*p*q - 22*q^2)*d^4*f^2*log(d*x + c)/(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4) - (9*b^4*c^4*f^2*p^2 - 4*(9*p^2 - 7*p*q)*a*b^3*c^3*d*f^2 + 6*(9*p^2 - 23*p*q + 4*q^2)*a^2*b^2*c^2*d^2*f^2 - 12*(3*p^2 - 31*p*q + 14*q^2)*a^3*b*c*d^3*f^2 + (9*p^2 - 262*p*q + 144*q^2)*a^4*d^4*f^2 + 60*((3*p*q - 2*q^2)*b^4*c*d^3*f^2 - (3*p*q - 2*q^2)*a*b^3*d^4*f^2)*x^3 - 6*((9*p*q - 4*q^2)*b^4*c^2*d^2*f^2 - 4*(27*p*q - 17*q^2)*a*b^3*c*d^3*f^2 + (99*p*q - 64*q^2)*a^2*b^2*d^4*f^2)*x^2 - 72*(b^4*d^4*f^2*p*q*x^4 + 4*a*b^3*d^4*f^2*p*q*x^3 + 6*a^2*b^2*d^4*f^2*p*q*x^2 + 4*a^3*b*d^4*f^2*p*q*x + a^4*d^4*f^2*p*q)*log(b*x + a)^2 + 144*(b^4*d^4*f^2*p*q*x^4 + 4*a*b^3*d^4*f^2*p*q*x^3 + 6*a^2*b^2*d^4*f^2*p*q*x^2 + 4*a^3*b*d^4*f^2*p*q*x + a^4*d^4*f^2*p*q)*log(b*x + a)*log(d*x + c) + 72*(b^4*d^4*f^2*q^2*x^4 + 4*a*b^3*d^4*f^2*q^2*x^3 + 6*a^2*b^2*d^4*f^2*q^2*x^2 + 4*a^3*b*d^4*f^2*q^2*x + a^4*d^4*f^2*q^2)*log(d*x + c)^2 + 4*(7*b^4*c^3*d*f^2*p*q - 12*(4*p*q - q^2)*a*b^3*c^2*d^2*f^2 + 6*(35*p*q - 19*q^2)*a^2*b^2*c*d^3*f^2 - (169*p*q - 102*q^2)*a^3*b*d^4*f^2)*x + 12*((3*p*q - 22*q^2)*b^4*d^4*f^2*x^4 + 4*(3*p*q - 22*q^2)*a*b^3*d^4*f^2*x^3 + 6*(3*p*q - 22*q^2)*a^2*b^2*d^4*f^2*x^2 + 4*(3*p*q - 22*q^2)*a^3*b*d^4*f^2*x + (3*p*q - 22*q^2)*a^4*d^4*f^2)*log(b*x + a))/(a^4*b^4*c^4 - 4*a^5*b^3*c^3*d + 6*a^6*b^2*c^2*d^2 - 4*a^7*b*c*d^3 + a^8*d^4 + (b^8*c^4 - 4*a*b^7*c^3*d + 6*a^2*b^6*c^2*d^2 - 4*a^3*b^5*c*d^3 + a^4*b^4*d^4)*x^4 + 4*(a*b^7*c^4 - 4*a^2*b^6*c^3*d + 6*a^3*b^5*c^2*d^2 - 4*a^4*b^4*c*d^3 + a^5*b^3*d^4)*x^3 + 6*(a^2*b^6*c^4 - 4*a^3*b^5*c^3*d + 6*a^4*b^4*c^2*d^2 - 4*a^5*b^3*c*d^3 + a^6*b^2*d^4)*x^2 + 4*(a^3*b^5*c^4 - 4*a^4*b^4*c^3*d + 6*a^5*b^3*c^2*d^2 - 4*a^6*b^2*c*d^3 + a^7*b*d^4)*x))*r^2/(b*f^2) - 1/4*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2/((b*x + a)^4*b)","B",0
25,1,624,0,0.792324," ","integrate((h*x+g)^4*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r),x, algorithm=""maxima"")","\frac{1}{5} \, {\left(h^{4} x^{5} + 5 \, g h^{3} x^{4} + 10 \, g^{2} h^{2} x^{3} + 10 \, g^{3} h x^{2} + 5 \, g^{4} x\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right) + \frac{r {\left(\frac{60 \, {\left(5 \, a b^{4} f g^{4} p - 10 \, a^{2} b^{3} f g^{3} h p + 10 \, a^{3} b^{2} f g^{2} h^{2} p - 5 \, a^{4} b f g h^{3} p + a^{5} f h^{4} p\right)} \log\left(b x + a\right)}{b^{5}} + \frac{60 \, {\left(5 \, c d^{4} f g^{4} q - 10 \, c^{2} d^{3} f g^{3} h q + 10 \, c^{3} d^{2} f g^{2} h^{2} q - 5 \, c^{4} d f g h^{3} q + c^{5} f h^{4} q\right)} \log\left(d x + c\right)}{d^{5}} - \frac{12 \, b^{4} d^{4} f h^{4} {\left(p + q\right)} x^{5} - 15 \, {\left(a b^{3} d^{4} f h^{4} p - {\left(5 \, d^{4} f g h^{3} {\left(p + q\right)} - c d^{3} f h^{4} q\right)} b^{4}\right)} x^{4} - 20 \, {\left(5 \, a b^{3} d^{4} f g h^{3} p - a^{2} b^{2} d^{4} f h^{4} p - {\left(10 \, d^{4} f g^{2} h^{2} {\left(p + q\right)} - 5 \, c d^{3} f g h^{3} q + c^{2} d^{2} f h^{4} q\right)} b^{4}\right)} x^{3} - 30 \, {\left(10 \, a b^{3} d^{4} f g^{2} h^{2} p - 5 \, a^{2} b^{2} d^{4} f g h^{3} p + a^{3} b d^{4} f h^{4} p - {\left(10 \, d^{4} f g^{3} h {\left(p + q\right)} - 10 \, c d^{3} f g^{2} h^{2} q + 5 \, c^{2} d^{2} f g h^{3} q - c^{3} d f h^{4} q\right)} b^{4}\right)} x^{2} - 60 \, {\left(10 \, a b^{3} d^{4} f g^{3} h p - 10 \, a^{2} b^{2} d^{4} f g^{2} h^{2} p + 5 \, a^{3} b d^{4} f g h^{3} p - a^{4} d^{4} f h^{4} p - {\left(5 \, d^{4} f g^{4} {\left(p + q\right)} - 10 \, c d^{3} f g^{3} h q + 10 \, c^{2} d^{2} f g^{2} h^{2} q - 5 \, c^{3} d f g h^{3} q + c^{4} f h^{4} q\right)} b^{4}\right)} x}{b^{4} d^{4}}\right)}}{300 \, f}"," ",0,"1/5*(h^4*x^5 + 5*g*h^3*x^4 + 10*g^2*h^2*x^3 + 10*g^3*h*x^2 + 5*g^4*x)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e) + 1/300*r*(60*(5*a*b^4*f*g^4*p - 10*a^2*b^3*f*g^3*h*p + 10*a^3*b^2*f*g^2*h^2*p - 5*a^4*b*f*g*h^3*p + a^5*f*h^4*p)*log(b*x + a)/b^5 + 60*(5*c*d^4*f*g^4*q - 10*c^2*d^3*f*g^3*h*q + 10*c^3*d^2*f*g^2*h^2*q - 5*c^4*d*f*g*h^3*q + c^5*f*h^4*q)*log(d*x + c)/d^5 - (12*b^4*d^4*f*h^4*(p + q)*x^5 - 15*(a*b^3*d^4*f*h^4*p - (5*d^4*f*g*h^3*(p + q) - c*d^3*f*h^4*q)*b^4)*x^4 - 20*(5*a*b^3*d^4*f*g*h^3*p - a^2*b^2*d^4*f*h^4*p - (10*d^4*f*g^2*h^2*(p + q) - 5*c*d^3*f*g*h^3*q + c^2*d^2*f*h^4*q)*b^4)*x^3 - 30*(10*a*b^3*d^4*f*g^2*h^2*p - 5*a^2*b^2*d^4*f*g*h^3*p + a^3*b*d^4*f*h^4*p - (10*d^4*f*g^3*h*(p + q) - 10*c*d^3*f*g^2*h^2*q + 5*c^2*d^2*f*g*h^3*q - c^3*d*f*h^4*q)*b^4)*x^2 - 60*(10*a*b^3*d^4*f*g^3*h*p - 10*a^2*b^2*d^4*f*g^2*h^2*p + 5*a^3*b*d^4*f*g*h^3*p - a^4*d^4*f*h^4*p - (5*d^4*f*g^4*(p + q) - 10*c*d^3*f*g^3*h*q + 10*c^2*d^2*f*g^2*h^2*q - 5*c^3*d*f*g*h^3*q + c^4*f*h^4*q)*b^4)*x)/(b^4*d^4))/f","B",0
26,1,431,0,0.789366," ","integrate((h*x+g)^3*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(h^{3} x^{4} + 4 \, g h^{2} x^{3} + 6 \, g^{2} h x^{2} + 4 \, g^{3} x\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right) + \frac{r {\left(\frac{12 \, {\left(4 \, a b^{3} f g^{3} p - 6 \, a^{2} b^{2} f g^{2} h p + 4 \, a^{3} b f g h^{2} p - a^{4} f h^{3} p\right)} \log\left(b x + a\right)}{b^{4}} + \frac{12 \, {\left(4 \, c d^{3} f g^{3} q - 6 \, c^{2} d^{2} f g^{2} h q + 4 \, c^{3} d f g h^{2} q - c^{4} f h^{3} q\right)} \log\left(d x + c\right)}{d^{4}} - \frac{3 \, b^{3} d^{3} f h^{3} {\left(p + q\right)} x^{4} - 4 \, {\left(a b^{2} d^{3} f h^{3} p - {\left(4 \, d^{3} f g h^{2} {\left(p + q\right)} - c d^{2} f h^{3} q\right)} b^{3}\right)} x^{3} - 6 \, {\left(4 \, a b^{2} d^{3} f g h^{2} p - a^{2} b d^{3} f h^{3} p - {\left(6 \, d^{3} f g^{2} h {\left(p + q\right)} - 4 \, c d^{2} f g h^{2} q + c^{2} d f h^{3} q\right)} b^{3}\right)} x^{2} - 12 \, {\left(6 \, a b^{2} d^{3} f g^{2} h p - 4 \, a^{2} b d^{3} f g h^{2} p + a^{3} d^{3} f h^{3} p - {\left(4 \, d^{3} f g^{3} {\left(p + q\right)} - 6 \, c d^{2} f g^{2} h q + 4 \, c^{2} d f g h^{2} q - c^{3} f h^{3} q\right)} b^{3}\right)} x}{b^{3} d^{3}}\right)}}{48 \, f}"," ",0,"1/4*(h^3*x^4 + 4*g*h^2*x^3 + 6*g^2*h*x^2 + 4*g^3*x)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e) + 1/48*r*(12*(4*a*b^3*f*g^3*p - 6*a^2*b^2*f*g^2*h*p + 4*a^3*b*f*g*h^2*p - a^4*f*h^3*p)*log(b*x + a)/b^4 + 12*(4*c*d^3*f*g^3*q - 6*c^2*d^2*f*g^2*h*q + 4*c^3*d*f*g*h^2*q - c^4*f*h^3*q)*log(d*x + c)/d^4 - (3*b^3*d^3*f*h^3*(p + q)*x^4 - 4*(a*b^2*d^3*f*h^3*p - (4*d^3*f*g*h^2*(p + q) - c*d^2*f*h^3*q)*b^3)*x^3 - 6*(4*a*b^2*d^3*f*g*h^2*p - a^2*b*d^3*f*h^3*p - (6*d^3*f*g^2*h*(p + q) - 4*c*d^2*f*g*h^2*q + c^2*d*f*h^3*q)*b^3)*x^2 - 12*(6*a*b^2*d^3*f*g^2*h*p - 4*a^2*b*d^3*f*g*h^2*p + a^3*d^3*f*h^3*p - (4*d^3*f*g^3*(p + q) - 6*c*d^2*f*g^2*h*q + 4*c^2*d*f*g*h^2*q - c^3*f*h^3*q)*b^3)*x)/(b^3*d^3))/f","A",0
27,1,269,0,0.919803," ","integrate((h*x+g)^2*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(h^{2} x^{3} + 3 \, g h x^{2} + 3 \, g^{2} x\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right) + \frac{r {\left(\frac{6 \, {\left(3 \, a b^{2} f g^{2} p - 3 \, a^{2} b f g h p + a^{3} f h^{2} p\right)} \log\left(b x + a\right)}{b^{3}} + \frac{6 \, {\left(3 \, c d^{2} f g^{2} q - 3 \, c^{2} d f g h q + c^{3} f h^{2} q\right)} \log\left(d x + c\right)}{d^{3}} - \frac{2 \, b^{2} d^{2} f h^{2} {\left(p + q\right)} x^{3} - 3 \, {\left(a b d^{2} f h^{2} p - {\left(3 \, d^{2} f g h {\left(p + q\right)} - c d f h^{2} q\right)} b^{2}\right)} x^{2} - 6 \, {\left(3 \, a b d^{2} f g h p - a^{2} d^{2} f h^{2} p - {\left(3 \, d^{2} f g^{2} {\left(p + q\right)} - 3 \, c d f g h q + c^{2} f h^{2} q\right)} b^{2}\right)} x}{b^{2} d^{2}}\right)}}{18 \, f}"," ",0,"1/3*(h^2*x^3 + 3*g*h*x^2 + 3*g^2*x)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e) + 1/18*r*(6*(3*a*b^2*f*g^2*p - 3*a^2*b*f*g*h*p + a^3*f*h^2*p)*log(b*x + a)/b^3 + 6*(3*c*d^2*f*g^2*q - 3*c^2*d*f*g*h*q + c^3*f*h^2*q)*log(d*x + c)/d^3 - (2*b^2*d^2*f*h^2*(p + q)*x^3 - 3*(a*b*d^2*f*h^2*p - (3*d^2*f*g*h*(p + q) - c*d*f*h^2*q)*b^2)*x^2 - 6*(3*a*b*d^2*f*g*h*p - a^2*d^2*f*h^2*p - (3*d^2*f*g^2*(p + q) - 3*c*d*f*g*h*q + c^2*f*h^2*q)*b^2)*x)/(b^2*d^2))/f","A",0
28,1,143,0,0.573964," ","integrate((h*x+g)*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(h x^{2} + 2 \, g x\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right) + \frac{r {\left(\frac{2 \, {\left(2 \, a b f g p - a^{2} f h p\right)} \log\left(b x + a\right)}{b^{2}} + \frac{2 \, {\left(2 \, c d f g q - c^{2} f h q\right)} \log\left(d x + c\right)}{d^{2}} - \frac{b d f h {\left(p + q\right)} x^{2} - 2 \, {\left(a d f h p - {\left(2 \, d f g {\left(p + q\right)} - c f h q\right)} b\right)} x}{b d}\right)}}{4 \, f}"," ",0,"1/2*(h*x^2 + 2*g*x)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e) + 1/4*r*(2*(2*a*b*f*g*p - a^2*f*h*p)*log(b*x + a)/b^2 + 2*(2*c*d*f*g*q - c^2*f*h*q)*log(d*x + c)/d^2 - (b*d*f*h*(p + q)*x^2 - 2*(a*d*f*h*p - (2*d*f*g*(p + q) - c*f*h*q)*b)*x)/(b*d))/f","A",0
29,1,75,0,0.617722," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r),x, algorithm=""maxima"")","x \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right) - \frac{{\left(b f p {\left(\frac{x}{b} - \frac{a \log\left(b x + a\right)}{b^{2}}\right)} + d f q {\left(\frac{x}{d} - \frac{c \log\left(d x + c\right)}{d^{2}}\right)}\right)} r}{f}"," ",0,"x*log(((b*x + a)^p*(d*x + c)^q*f)^r*e) - (b*f*p*(x/b - a*log(b*x + a)/b^2) + d*f*q*(x/d - c*log(d*x + c)/d^2))*r/f","A",0
30,1,186,0,0.928724," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/(h*x+g),x, algorithm=""maxima"")","\frac{{\left(\frac{{\left(\log\left(b x + a\right) \log\left(\frac{b h x + a h}{b g - a h} + 1\right) + {\rm Li}_2\left(-\frac{b h x + a h}{b g - a h}\right)\right)} f p}{h} + \frac{{\left(\log\left(d x + c\right) \log\left(\frac{d h x + c h}{d g - c h} + 1\right) + {\rm Li}_2\left(-\frac{d h x + c h}{d g - c h}\right)\right)} f q}{h}\right)} r}{f} - \frac{{\left(f p \log\left(b x + a\right) + f q \log\left(d x + c\right)\right)} r \log\left(h x + g\right)}{f h} + \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right) \log\left(h x + g\right)}{h}"," ",0,"((log(b*x + a)*log((b*h*x + a*h)/(b*g - a*h) + 1) + dilog(-(b*h*x + a*h)/(b*g - a*h)))*f*p/h + (log(d*x + c)*log((d*h*x + c*h)/(d*g - c*h) + 1) + dilog(-(d*h*x + c*h)/(d*g - c*h)))*f*q/h)*r/f - (f*p*log(b*x + a) + f*q*log(d*x + c))*r*log(h*x + g)/(f*h) + log(((b*x + a)^p*(d*x + c)^q*f)^r*e)*log(h*x + g)/h","A",0
31,1,123,0,0.721486," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/(h*x+g)^2,x, algorithm=""maxima"")","\frac{{\left(b f p {\left(\frac{\log\left(b x + a\right)}{b g - a h} - \frac{\log\left(h x + g\right)}{b g - a h}\right)} + d f q {\left(\frac{\log\left(d x + c\right)}{d g - c h} - \frac{\log\left(h x + g\right)}{d g - c h}\right)}\right)} r}{f h} - \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{{\left(h x + g\right)} h}"," ",0,"(b*f*p*(log(b*x + a)/(b*g - a*h) - log(h*x + g)/(b*g - a*h)) + d*f*q*(log(d*x + c)/(d*g - c*h) - log(h*x + g)/(d*g - c*h)))*r/(f*h) - log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/((h*x + g)*h)","A",0
32,1,232,0,0.782531," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/(h*x+g)^3,x, algorithm=""maxima"")","\frac{{\left(b f p {\left(\frac{b \log\left(b x + a\right)}{b^{2} g^{2} - 2 \, a b g h + a^{2} h^{2}} - \frac{b \log\left(h x + g\right)}{b^{2} g^{2} - 2 \, a b g h + a^{2} h^{2}} + \frac{1}{b g^{2} - a g h + {\left(b g h - a h^{2}\right)} x}\right)} + d f q {\left(\frac{d \log\left(d x + c\right)}{d^{2} g^{2} - 2 \, c d g h + c^{2} h^{2}} - \frac{d \log\left(h x + g\right)}{d^{2} g^{2} - 2 \, c d g h + c^{2} h^{2}} + \frac{1}{d g^{2} - c g h + {\left(d g h - c h^{2}\right)} x}\right)}\right)} r}{2 \, f h} - \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{2 \, {\left(h x + g\right)}^{2} h}"," ",0,"1/2*(b*f*p*(b*log(b*x + a)/(b^2*g^2 - 2*a*b*g*h + a^2*h^2) - b*log(h*x + g)/(b^2*g^2 - 2*a*b*g*h + a^2*h^2) + 1/(b*g^2 - a*g*h + (b*g*h - a*h^2)*x)) + d*f*q*(d*log(d*x + c)/(d^2*g^2 - 2*c*d*g*h + c^2*h^2) - d*log(h*x + g)/(d^2*g^2 - 2*c*d*g*h + c^2*h^2) + 1/(d*g^2 - c*g*h + (d*g*h - c*h^2)*x)))*r/(f*h) - 1/2*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/((h*x + g)^2*h)","A",0
33,1,456,0,0.764905," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/(h*x+g)^4,x, algorithm=""maxima"")","\frac{{\left({\left(\frac{2 \, b^{2} \log\left(b x + a\right)}{b^{3} g^{3} - 3 \, a b^{2} g^{2} h + 3 \, a^{2} b g h^{2} - a^{3} h^{3}} - \frac{2 \, b^{2} \log\left(h x + g\right)}{b^{3} g^{3} - 3 \, a b^{2} g^{2} h + 3 \, a^{2} b g h^{2} - a^{3} h^{3}} + \frac{2 \, b h x + 3 \, b g - a h}{b^{2} g^{4} - 2 \, a b g^{3} h + a^{2} g^{2} h^{2} + {\left(b^{2} g^{2} h^{2} - 2 \, a b g h^{3} + a^{2} h^{4}\right)} x^{2} + 2 \, {\left(b^{2} g^{3} h - 2 \, a b g^{2} h^{2} + a^{2} g h^{3}\right)} x}\right)} b f p + {\left(\frac{2 \, d^{2} \log\left(d x + c\right)}{d^{3} g^{3} - 3 \, c d^{2} g^{2} h + 3 \, c^{2} d g h^{2} - c^{3} h^{3}} - \frac{2 \, d^{2} \log\left(h x + g\right)}{d^{3} g^{3} - 3 \, c d^{2} g^{2} h + 3 \, c^{2} d g h^{2} - c^{3} h^{3}} + \frac{2 \, d h x + 3 \, d g - c h}{d^{2} g^{4} - 2 \, c d g^{3} h + c^{2} g^{2} h^{2} + {\left(d^{2} g^{2} h^{2} - 2 \, c d g h^{3} + c^{2} h^{4}\right)} x^{2} + 2 \, {\left(d^{2} g^{3} h - 2 \, c d g^{2} h^{2} + c^{2} g h^{3}\right)} x}\right)} d f q\right)} r}{6 \, f h} - \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{3 \, {\left(h x + g\right)}^{3} h}"," ",0,"1/6*((2*b^2*log(b*x + a)/(b^3*g^3 - 3*a*b^2*g^2*h + 3*a^2*b*g*h^2 - a^3*h^3) - 2*b^2*log(h*x + g)/(b^3*g^3 - 3*a*b^2*g^2*h + 3*a^2*b*g*h^2 - a^3*h^3) + (2*b*h*x + 3*b*g - a*h)/(b^2*g^4 - 2*a*b*g^3*h + a^2*g^2*h^2 + (b^2*g^2*h^2 - 2*a*b*g*h^3 + a^2*h^4)*x^2 + 2*(b^2*g^3*h - 2*a*b*g^2*h^2 + a^2*g*h^3)*x))*b*f*p + (2*d^2*log(d*x + c)/(d^3*g^3 - 3*c*d^2*g^2*h + 3*c^2*d*g*h^2 - c^3*h^3) - 2*d^2*log(h*x + g)/(d^3*g^3 - 3*c*d^2*g^2*h + 3*c^2*d*g*h^2 - c^3*h^3) + (2*d*h*x + 3*d*g - c*h)/(d^2*g^4 - 2*c*d*g^3*h + c^2*g^2*h^2 + (d^2*g^2*h^2 - 2*c*d*g*h^3 + c^2*h^4)*x^2 + 2*(d^2*g^3*h - 2*c*d*g^2*h^2 + c^2*g*h^3)*x))*d*f*q)*r/(f*h) - 1/3*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/((h*x + g)^3*h)","A",0
34,1,776,0,1.034360," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/(h*x+g)^5,x, algorithm=""maxima"")","\frac{{\left({\left(\frac{6 \, b^{3} \log\left(b x + a\right)}{b^{4} g^{4} - 4 \, a b^{3} g^{3} h + 6 \, a^{2} b^{2} g^{2} h^{2} - 4 \, a^{3} b g h^{3} + a^{4} h^{4}} - \frac{6 \, b^{3} \log\left(h x + g\right)}{b^{4} g^{4} - 4 \, a b^{3} g^{3} h + 6 \, a^{2} b^{2} g^{2} h^{2} - 4 \, a^{3} b g h^{3} + a^{4} h^{4}} + \frac{6 \, b^{2} h^{2} x^{2} + 11 \, b^{2} g^{2} - 7 \, a b g h + 2 \, a^{2} h^{2} + 3 \, {\left(5 \, b^{2} g h - a b h^{2}\right)} x}{b^{3} g^{6} - 3 \, a b^{2} g^{5} h + 3 \, a^{2} b g^{4} h^{2} - a^{3} g^{3} h^{3} + {\left(b^{3} g^{3} h^{3} - 3 \, a b^{2} g^{2} h^{4} + 3 \, a^{2} b g h^{5} - a^{3} h^{6}\right)} x^{3} + 3 \, {\left(b^{3} g^{4} h^{2} - 3 \, a b^{2} g^{3} h^{3} + 3 \, a^{2} b g^{2} h^{4} - a^{3} g h^{5}\right)} x^{2} + 3 \, {\left(b^{3} g^{5} h - 3 \, a b^{2} g^{4} h^{2} + 3 \, a^{2} b g^{3} h^{3} - a^{3} g^{2} h^{4}\right)} x}\right)} b f p + {\left(\frac{6 \, d^{3} \log\left(d x + c\right)}{d^{4} g^{4} - 4 \, c d^{3} g^{3} h + 6 \, c^{2} d^{2} g^{2} h^{2} - 4 \, c^{3} d g h^{3} + c^{4} h^{4}} - \frac{6 \, d^{3} \log\left(h x + g\right)}{d^{4} g^{4} - 4 \, c d^{3} g^{3} h + 6 \, c^{2} d^{2} g^{2} h^{2} - 4 \, c^{3} d g h^{3} + c^{4} h^{4}} + \frac{6 \, d^{2} h^{2} x^{2} + 11 \, d^{2} g^{2} - 7 \, c d g h + 2 \, c^{2} h^{2} + 3 \, {\left(5 \, d^{2} g h - c d h^{2}\right)} x}{d^{3} g^{6} - 3 \, c d^{2} g^{5} h + 3 \, c^{2} d g^{4} h^{2} - c^{3} g^{3} h^{3} + {\left(d^{3} g^{3} h^{3} - 3 \, c d^{2} g^{2} h^{4} + 3 \, c^{2} d g h^{5} - c^{3} h^{6}\right)} x^{3} + 3 \, {\left(d^{3} g^{4} h^{2} - 3 \, c d^{2} g^{3} h^{3} + 3 \, c^{2} d g^{2} h^{4} - c^{3} g h^{5}\right)} x^{2} + 3 \, {\left(d^{3} g^{5} h - 3 \, c d^{2} g^{4} h^{2} + 3 \, c^{2} d g^{3} h^{3} - c^{3} g^{2} h^{4}\right)} x}\right)} d f q\right)} r}{24 \, f h} - \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{4 \, {\left(h x + g\right)}^{4} h}"," ",0,"1/24*((6*b^3*log(b*x + a)/(b^4*g^4 - 4*a*b^3*g^3*h + 6*a^2*b^2*g^2*h^2 - 4*a^3*b*g*h^3 + a^4*h^4) - 6*b^3*log(h*x + g)/(b^4*g^4 - 4*a*b^3*g^3*h + 6*a^2*b^2*g^2*h^2 - 4*a^3*b*g*h^3 + a^4*h^4) + (6*b^2*h^2*x^2 + 11*b^2*g^2 - 7*a*b*g*h + 2*a^2*h^2 + 3*(5*b^2*g*h - a*b*h^2)*x)/(b^3*g^6 - 3*a*b^2*g^5*h + 3*a^2*b*g^4*h^2 - a^3*g^3*h^3 + (b^3*g^3*h^3 - 3*a*b^2*g^2*h^4 + 3*a^2*b*g*h^5 - a^3*h^6)*x^3 + 3*(b^3*g^4*h^2 - 3*a*b^2*g^3*h^3 + 3*a^2*b*g^2*h^4 - a^3*g*h^5)*x^2 + 3*(b^3*g^5*h - 3*a*b^2*g^4*h^2 + 3*a^2*b*g^3*h^3 - a^3*g^2*h^4)*x))*b*f*p + (6*d^3*log(d*x + c)/(d^4*g^4 - 4*c*d^3*g^3*h + 6*c^2*d^2*g^2*h^2 - 4*c^3*d*g*h^3 + c^4*h^4) - 6*d^3*log(h*x + g)/(d^4*g^4 - 4*c*d^3*g^3*h + 6*c^2*d^2*g^2*h^2 - 4*c^3*d*g*h^3 + c^4*h^4) + (6*d^2*h^2*x^2 + 11*d^2*g^2 - 7*c*d*g*h + 2*c^2*h^2 + 3*(5*d^2*g*h - c*d*h^2)*x)/(d^3*g^6 - 3*c*d^2*g^5*h + 3*c^2*d*g^4*h^2 - c^3*g^3*h^3 + (d^3*g^3*h^3 - 3*c*d^2*g^2*h^4 + 3*c^2*d*g*h^5 - c^3*h^6)*x^3 + 3*(d^3*g^4*h^2 - 3*c*d^2*g^3*h^3 + 3*c^2*d*g^2*h^4 - c^3*g*h^5)*x^2 + 3*(d^3*g^5*h - 3*c*d^2*g^4*h^2 + 3*c^2*d*g^3*h^3 - c^3*g^2*h^4)*x))*d*f*q)*r/(f*h) - 1/4*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/((h*x + g)^4*h)","B",0
35,1,1799,0,1.308457," ","integrate((h*x+g)^3*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(h^{3} x^{4} + 4 \, g h^{2} x^{3} + 6 \, g^{2} h x^{2} + 4 \, g^{3} x\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2} + \frac{r {\left(\frac{12 \, {\left(4 \, a b^{3} f g^{3} p - 6 \, a^{2} b^{2} f g^{2} h p + 4 \, a^{3} b f g h^{2} p - a^{4} f h^{3} p\right)} \log\left(b x + a\right)}{b^{4}} + \frac{12 \, {\left(4 \, c d^{3} f g^{3} q - 6 \, c^{2} d^{2} f g^{2} h q + 4 \, c^{3} d f g h^{2} q - c^{4} f h^{3} q\right)} \log\left(d x + c\right)}{d^{4}} - \frac{3 \, b^{3} d^{3} f h^{3} {\left(p + q\right)} x^{4} - 4 \, {\left(a b^{2} d^{3} f h^{3} p - {\left(4 \, d^{3} f g h^{2} {\left(p + q\right)} - c d^{2} f h^{3} q\right)} b^{3}\right)} x^{3} - 6 \, {\left(4 \, a b^{2} d^{3} f g h^{2} p - a^{2} b d^{3} f h^{3} p - {\left(6 \, d^{3} f g^{2} h {\left(p + q\right)} - 4 \, c d^{2} f g h^{2} q + c^{2} d f h^{3} q\right)} b^{3}\right)} x^{2} - 12 \, {\left(6 \, a b^{2} d^{3} f g^{2} h p - 4 \, a^{2} b d^{3} f g h^{2} p + a^{3} d^{3} f h^{3} p - {\left(4 \, d^{3} f g^{3} {\left(p + q\right)} - 6 \, c d^{2} f g^{2} h q + 4 \, c^{2} d f g h^{2} q - c^{3} f h^{3} q\right)} b^{3}\right)} x}{b^{3} d^{3}}\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{24 \, f} + \frac{r^{2} {\left(\frac{12 \, {\left(12 \, a^{3} c d^{3} f^{2} h^{3} p q - 6 \, {\left(8 \, c d^{3} f^{2} g h^{2} p q - c^{2} d^{2} f^{2} h^{3} p q\right)} a^{2} b + 4 \, {\left(18 \, c d^{3} f^{2} g^{2} h p q - 6 \, c^{2} d^{2} f^{2} g h^{2} p q + c^{3} d f^{2} h^{3} p q\right)} a b^{2} - {\left(48 \, {\left(p q + q^{2}\right)} c d^{3} f^{2} g^{3} - 36 \, {\left(p q + 3 \, q^{2}\right)} c^{2} d^{2} f^{2} g^{2} h + 8 \, {\left(2 \, p q + 11 \, q^{2}\right)} c^{3} d f^{2} g h^{2} - {\left(3 \, p q + 25 \, q^{2}\right)} c^{4} f^{2} h^{3}\right)} b^{3}\right)} \log\left(d x + c\right)}{b^{3} d^{4}} - \frac{144 \, {\left(4 \, a b^{3} d^{4} f^{2} g^{3} p q - 6 \, a^{2} b^{2} d^{4} f^{2} g^{2} h p q + 4 \, a^{3} b d^{4} f^{2} g h^{2} p q - a^{4} d^{4} f^{2} h^{3} p q - {\left(4 \, c d^{3} f^{2} g^{3} p q - 6 \, c^{2} d^{2} f^{2} g^{2} h p q + 4 \, c^{3} d f^{2} g h^{2} p q - c^{4} f^{2} h^{3} p q\right)} b^{4}\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)}}{b^{4} d^{4}} + \frac{9 \, {\left(p^{2} + 2 \, p q + q^{2}\right)} b^{4} d^{4} f^{2} h^{3} x^{4} - 144 \, {\left(4 \, c d^{3} f^{2} g^{3} p q - 6 \, c^{2} d^{2} f^{2} g^{2} h p q + 4 \, c^{3} d f^{2} g h^{2} p q - c^{4} f^{2} h^{3} p q\right)} b^{4} \log\left(b x + a\right) \log\left(d x + c\right) - 72 \, {\left(4 \, c d^{3} f^{2} g^{3} q^{2} - 6 \, c^{2} d^{2} f^{2} g^{2} h q^{2} + 4 \, c^{3} d f^{2} g h^{2} q^{2} - c^{4} f^{2} h^{3} q^{2}\right)} b^{4} \log\left(d x + c\right)^{2} - 4 \, {\left(7 \, {\left(p^{2} + p q\right)} a b^{3} d^{4} f^{2} h^{3} - {\left(16 \, {\left(p^{2} + 2 \, p q + q^{2}\right)} d^{4} f^{2} g h^{2} - 7 \, {\left(p q + q^{2}\right)} c d^{3} f^{2} h^{3}\right)} b^{4}\right)} x^{3} + 6 \, {\left({\left(13 \, p^{2} + 9 \, p q\right)} a^{2} b^{2} d^{4} f^{2} h^{3} + 8 \, {\left(c d^{3} f^{2} h^{3} p q - 5 \, {\left(p^{2} + p q\right)} d^{4} f^{2} g h^{2}\right)} a b^{3} + {\left(36 \, {\left(p^{2} + 2 \, p q + q^{2}\right)} d^{4} f^{2} g^{2} h - 40 \, {\left(p q + q^{2}\right)} c d^{3} f^{2} g h^{2} + {\left(9 \, p q + 13 \, q^{2}\right)} c^{2} d^{2} f^{2} h^{3}\right)} b^{4}\right)} x^{2} - 72 \, {\left(4 \, a b^{3} d^{4} f^{2} g^{3} p^{2} - 6 \, a^{2} b^{2} d^{4} f^{2} g^{2} h p^{2} + 4 \, a^{3} b d^{4} f^{2} g h^{2} p^{2} - a^{4} d^{4} f^{2} h^{3} p^{2}\right)} \log\left(b x + a\right)^{2} - 12 \, {\left(5 \, {\left(5 \, p^{2} + 3 \, p q\right)} a^{3} b d^{4} f^{2} h^{3} + 2 \, {\left(5 \, c d^{3} f^{2} h^{3} p q - 4 \, {\left(11 \, p^{2} + 8 \, p q\right)} d^{4} f^{2} g h^{2}\right)} a^{2} b^{2} - 2 \, {\left(24 \, c d^{3} f^{2} g h^{2} p q - 5 \, c^{2} d^{2} f^{2} h^{3} p q - 54 \, {\left(p^{2} + p q\right)} d^{4} f^{2} g^{2} h\right)} a b^{3} - {\left(48 \, {\left(p^{2} + 2 \, p q + q^{2}\right)} d^{4} f^{2} g^{3} - 108 \, {\left(p q + q^{2}\right)} c d^{3} f^{2} g^{2} h + 8 \, {\left(8 \, p q + 11 \, q^{2}\right)} c^{2} d^{2} f^{2} g h^{2} - 5 \, {\left(3 \, p q + 5 \, q^{2}\right)} c^{3} d f^{2} h^{3}\right)} b^{4}\right)} x + 12 \, {\left({\left(25 \, p^{2} + 3 \, p q\right)} a^{4} d^{4} f^{2} h^{3} + 4 \, {\left(c d^{3} f^{2} h^{3} p q - 2 \, {\left(11 \, p^{2} + 2 \, p q\right)} d^{4} f^{2} g h^{2}\right)} a^{3} b - 6 \, {\left(4 \, c d^{3} f^{2} g h^{2} p q - c^{2} d^{2} f^{2} h^{3} p q - 6 \, {\left(3 \, p^{2} + p q\right)} d^{4} f^{2} g^{2} h\right)} a^{2} b^{2} + 12 \, {\left(6 \, c d^{3} f^{2} g^{2} h p q - 4 \, c^{2} d^{2} f^{2} g h^{2} p q + c^{3} d f^{2} h^{3} p q - 4 \, {\left(p^{2} + p q\right)} d^{4} f^{2} g^{3}\right)} a b^{3}\right)} \log\left(b x + a\right)}{b^{4} d^{4}}\right)}}{288 \, f^{2}}"," ",0,"1/4*(h^3*x^4 + 4*g*h^2*x^3 + 6*g^2*h*x^2 + 4*g^3*x)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2 + 1/24*r*(12*(4*a*b^3*f*g^3*p - 6*a^2*b^2*f*g^2*h*p + 4*a^3*b*f*g*h^2*p - a^4*f*h^3*p)*log(b*x + a)/b^4 + 12*(4*c*d^3*f*g^3*q - 6*c^2*d^2*f*g^2*h*q + 4*c^3*d*f*g*h^2*q - c^4*f*h^3*q)*log(d*x + c)/d^4 - (3*b^3*d^3*f*h^3*(p + q)*x^4 - 4*(a*b^2*d^3*f*h^3*p - (4*d^3*f*g*h^2*(p + q) - c*d^2*f*h^3*q)*b^3)*x^3 - 6*(4*a*b^2*d^3*f*g*h^2*p - a^2*b*d^3*f*h^3*p - (6*d^3*f*g^2*h*(p + q) - 4*c*d^2*f*g*h^2*q + c^2*d*f*h^3*q)*b^3)*x^2 - 12*(6*a*b^2*d^3*f*g^2*h*p - 4*a^2*b*d^3*f*g*h^2*p + a^3*d^3*f*h^3*p - (4*d^3*f*g^3*(p + q) - 6*c*d^2*f*g^2*h*q + 4*c^2*d*f*g*h^2*q - c^3*f*h^3*q)*b^3)*x)/(b^3*d^3))*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/f + 1/288*r^2*(12*(12*a^3*c*d^3*f^2*h^3*p*q - 6*(8*c*d^3*f^2*g*h^2*p*q - c^2*d^2*f^2*h^3*p*q)*a^2*b + 4*(18*c*d^3*f^2*g^2*h*p*q - 6*c^2*d^2*f^2*g*h^2*p*q + c^3*d*f^2*h^3*p*q)*a*b^2 - (48*(p*q + q^2)*c*d^3*f^2*g^3 - 36*(p*q + 3*q^2)*c^2*d^2*f^2*g^2*h + 8*(2*p*q + 11*q^2)*c^3*d*f^2*g*h^2 - (3*p*q + 25*q^2)*c^4*f^2*h^3)*b^3)*log(d*x + c)/(b^3*d^4) - 144*(4*a*b^3*d^4*f^2*g^3*p*q - 6*a^2*b^2*d^4*f^2*g^2*h*p*q + 4*a^3*b*d^4*f^2*g*h^2*p*q - a^4*d^4*f^2*h^3*p*q - (4*c*d^3*f^2*g^3*p*q - 6*c^2*d^2*f^2*g^2*h*p*q + 4*c^3*d*f^2*g*h^2*p*q - c^4*f^2*h^3*p*q)*b^4)*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))/(b^4*d^4) + (9*(p^2 + 2*p*q + q^2)*b^4*d^4*f^2*h^3*x^4 - 144*(4*c*d^3*f^2*g^3*p*q - 6*c^2*d^2*f^2*g^2*h*p*q + 4*c^3*d*f^2*g*h^2*p*q - c^4*f^2*h^3*p*q)*b^4*log(b*x + a)*log(d*x + c) - 72*(4*c*d^3*f^2*g^3*q^2 - 6*c^2*d^2*f^2*g^2*h*q^2 + 4*c^3*d*f^2*g*h^2*q^2 - c^4*f^2*h^3*q^2)*b^4*log(d*x + c)^2 - 4*(7*(p^2 + p*q)*a*b^3*d^4*f^2*h^3 - (16*(p^2 + 2*p*q + q^2)*d^4*f^2*g*h^2 - 7*(p*q + q^2)*c*d^3*f^2*h^3)*b^4)*x^3 + 6*((13*p^2 + 9*p*q)*a^2*b^2*d^4*f^2*h^3 + 8*(c*d^3*f^2*h^3*p*q - 5*(p^2 + p*q)*d^4*f^2*g*h^2)*a*b^3 + (36*(p^2 + 2*p*q + q^2)*d^4*f^2*g^2*h - 40*(p*q + q^2)*c*d^3*f^2*g*h^2 + (9*p*q + 13*q^2)*c^2*d^2*f^2*h^3)*b^4)*x^2 - 72*(4*a*b^3*d^4*f^2*g^3*p^2 - 6*a^2*b^2*d^4*f^2*g^2*h*p^2 + 4*a^3*b*d^4*f^2*g*h^2*p^2 - a^4*d^4*f^2*h^3*p^2)*log(b*x + a)^2 - 12*(5*(5*p^2 + 3*p*q)*a^3*b*d^4*f^2*h^3 + 2*(5*c*d^3*f^2*h^3*p*q - 4*(11*p^2 + 8*p*q)*d^4*f^2*g*h^2)*a^2*b^2 - 2*(24*c*d^3*f^2*g*h^2*p*q - 5*c^2*d^2*f^2*h^3*p*q - 54*(p^2 + p*q)*d^4*f^2*g^2*h)*a*b^3 - (48*(p^2 + 2*p*q + q^2)*d^4*f^2*g^3 - 108*(p*q + q^2)*c*d^3*f^2*g^2*h + 8*(8*p*q + 11*q^2)*c^2*d^2*f^2*g*h^2 - 5*(3*p*q + 5*q^2)*c^3*d*f^2*h^3)*b^4)*x + 12*((25*p^2 + 3*p*q)*a^4*d^4*f^2*h^3 + 4*(c*d^3*f^2*h^3*p*q - 2*(11*p^2 + 2*p*q)*d^4*f^2*g*h^2)*a^3*b - 6*(4*c*d^3*f^2*g*h^2*p*q - c^2*d^2*f^2*h^3*p*q - 6*(3*p^2 + p*q)*d^4*f^2*g^2*h)*a^2*b^2 + 12*(6*c*d^3*f^2*g^2*h*p*q - 4*c^2*d^2*f^2*g*h^2*p*q + c^3*d*f^2*h^3*p*q - 4*(p^2 + p*q)*d^4*f^2*g^3)*a*b^3)*log(b*x + a))/(b^4*d^4))/f^2","A",0
36,1,1123,0,1.180736," ","integrate((h*x+g)^2*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(h^{2} x^{3} + 3 \, g h x^{2} + 3 \, g^{2} x\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2} + \frac{r {\left(\frac{6 \, {\left(3 \, a b^{2} f g^{2} p - 3 \, a^{2} b f g h p + a^{3} f h^{2} p\right)} \log\left(b x + a\right)}{b^{3}} + \frac{6 \, {\left(3 \, c d^{2} f g^{2} q - 3 \, c^{2} d f g h q + c^{3} f h^{2} q\right)} \log\left(d x + c\right)}{d^{3}} - \frac{2 \, b^{2} d^{2} f h^{2} {\left(p + q\right)} x^{3} - 3 \, {\left(a b d^{2} f h^{2} p - {\left(3 \, d^{2} f g h {\left(p + q\right)} - c d f h^{2} q\right)} b^{2}\right)} x^{2} - 6 \, {\left(3 \, a b d^{2} f g h p - a^{2} d^{2} f h^{2} p - {\left(3 \, d^{2} f g^{2} {\left(p + q\right)} - 3 \, c d f g h q + c^{2} f h^{2} q\right)} b^{2}\right)} x}{b^{2} d^{2}}\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{9 \, f} - \frac{r^{2} {\left(\frac{6 \, {\left(6 \, a^{2} c d^{2} f^{2} h^{2} p q - 3 \, {\left(6 \, c d^{2} f^{2} g h p q - c^{2} d f^{2} h^{2} p q\right)} a b + {\left(18 \, {\left(p q + q^{2}\right)} c d^{2} f^{2} g^{2} - 9 \, {\left(p q + 3 \, q^{2}\right)} c^{2} d f^{2} g h + {\left(2 \, p q + 11 \, q^{2}\right)} c^{3} f^{2} h^{2}\right)} b^{2}\right)} \log\left(d x + c\right)}{b^{2} d^{3}} + \frac{36 \, {\left(3 \, a b^{2} d^{3} f^{2} g^{2} p q - 3 \, a^{2} b d^{3} f^{2} g h p q + a^{3} d^{3} f^{2} h^{2} p q - {\left(3 \, c d^{2} f^{2} g^{2} p q - 3 \, c^{2} d f^{2} g h p q + c^{3} f^{2} h^{2} p q\right)} b^{3}\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)}}{b^{3} d^{3}} - \frac{4 \, {\left(p^{2} + 2 \, p q + q^{2}\right)} b^{3} d^{3} f^{2} h^{2} x^{3} - 36 \, {\left(3 \, c d^{2} f^{2} g^{2} p q - 3 \, c^{2} d f^{2} g h p q + c^{3} f^{2} h^{2} p q\right)} b^{3} \log\left(b x + a\right) \log\left(d x + c\right) - 18 \, {\left(3 \, c d^{2} f^{2} g^{2} q^{2} - 3 \, c^{2} d f^{2} g h q^{2} + c^{3} f^{2} h^{2} q^{2}\right)} b^{3} \log\left(d x + c\right)^{2} - 3 \, {\left(5 \, {\left(p^{2} + p q\right)} a b^{2} d^{3} f^{2} h^{2} - {\left(9 \, {\left(p^{2} + 2 \, p q + q^{2}\right)} d^{3} f^{2} g h - 5 \, {\left(p q + q^{2}\right)} c d^{2} f^{2} h^{2}\right)} b^{3}\right)} x^{2} - 18 \, {\left(3 \, a b^{2} d^{3} f^{2} g^{2} p^{2} - 3 \, a^{2} b d^{3} f^{2} g h p^{2} + a^{3} d^{3} f^{2} h^{2} p^{2}\right)} \log\left(b x + a\right)^{2} + 6 \, {\left({\left(11 \, p^{2} + 8 \, p q\right)} a^{2} b d^{3} f^{2} h^{2} + 3 \, {\left(2 \, c d^{2} f^{2} h^{2} p q - 9 \, {\left(p^{2} + p q\right)} d^{3} f^{2} g h\right)} a b^{2} + {\left(18 \, {\left(p^{2} + 2 \, p q + q^{2}\right)} d^{3} f^{2} g^{2} - 27 \, {\left(p q + q^{2}\right)} c d^{2} f^{2} g h + {\left(8 \, p q + 11 \, q^{2}\right)} c^{2} d f^{2} h^{2}\right)} b^{3}\right)} x - 6 \, {\left({\left(11 \, p^{2} + 2 \, p q\right)} a^{3} d^{3} f^{2} h^{2} + 3 \, {\left(c d^{2} f^{2} h^{2} p q - 3 \, {\left(3 \, p^{2} + p q\right)} d^{3} f^{2} g h\right)} a^{2} b - 6 \, {\left(3 \, c d^{2} f^{2} g h p q - c^{2} d f^{2} h^{2} p q - 3 \, {\left(p^{2} + p q\right)} d^{3} f^{2} g^{2}\right)} a b^{2}\right)} \log\left(b x + a\right)}{b^{3} d^{3}}\right)}}{54 \, f^{2}}"," ",0,"1/3*(h^2*x^3 + 3*g*h*x^2 + 3*g^2*x)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2 + 1/9*r*(6*(3*a*b^2*f*g^2*p - 3*a^2*b*f*g*h*p + a^3*f*h^2*p)*log(b*x + a)/b^3 + 6*(3*c*d^2*f*g^2*q - 3*c^2*d*f*g*h*q + c^3*f*h^2*q)*log(d*x + c)/d^3 - (2*b^2*d^2*f*h^2*(p + q)*x^3 - 3*(a*b*d^2*f*h^2*p - (3*d^2*f*g*h*(p + q) - c*d*f*h^2*q)*b^2)*x^2 - 6*(3*a*b*d^2*f*g*h*p - a^2*d^2*f*h^2*p - (3*d^2*f*g^2*(p + q) - 3*c*d*f*g*h*q + c^2*f*h^2*q)*b^2)*x)/(b^2*d^2))*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/f - 1/54*r^2*(6*(6*a^2*c*d^2*f^2*h^2*p*q - 3*(6*c*d^2*f^2*g*h*p*q - c^2*d*f^2*h^2*p*q)*a*b + (18*(p*q + q^2)*c*d^2*f^2*g^2 - 9*(p*q + 3*q^2)*c^2*d*f^2*g*h + (2*p*q + 11*q^2)*c^3*f^2*h^2)*b^2)*log(d*x + c)/(b^2*d^3) + 36*(3*a*b^2*d^3*f^2*g^2*p*q - 3*a^2*b*d^3*f^2*g*h*p*q + a^3*d^3*f^2*h^2*p*q - (3*c*d^2*f^2*g^2*p*q - 3*c^2*d*f^2*g*h*p*q + c^3*f^2*h^2*p*q)*b^3)*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))/(b^3*d^3) - (4*(p^2 + 2*p*q + q^2)*b^3*d^3*f^2*h^2*x^3 - 36*(3*c*d^2*f^2*g^2*p*q - 3*c^2*d*f^2*g*h*p*q + c^3*f^2*h^2*p*q)*b^3*log(b*x + a)*log(d*x + c) - 18*(3*c*d^2*f^2*g^2*q^2 - 3*c^2*d*f^2*g*h*q^2 + c^3*f^2*h^2*q^2)*b^3*log(d*x + c)^2 - 3*(5*(p^2 + p*q)*a*b^2*d^3*f^2*h^2 - (9*(p^2 + 2*p*q + q^2)*d^3*f^2*g*h - 5*(p*q + q^2)*c*d^2*f^2*h^2)*b^3)*x^2 - 18*(3*a*b^2*d^3*f^2*g^2*p^2 - 3*a^2*b*d^3*f^2*g*h*p^2 + a^3*d^3*f^2*h^2*p^2)*log(b*x + a)^2 + 6*((11*p^2 + 8*p*q)*a^2*b*d^3*f^2*h^2 + 3*(2*c*d^2*f^2*h^2*p*q - 9*(p^2 + p*q)*d^3*f^2*g*h)*a*b^2 + (18*(p^2 + 2*p*q + q^2)*d^3*f^2*g^2 - 27*(p*q + q^2)*c*d^2*f^2*g*h + (8*p*q + 11*q^2)*c^2*d*f^2*h^2)*b^3)*x - 6*((11*p^2 + 2*p*q)*a^3*d^3*f^2*h^2 + 3*(c*d^2*f^2*h^2*p*q - 3*(3*p^2 + p*q)*d^3*f^2*g*h)*a^2*b - 6*(3*c*d^2*f^2*g*h*p*q - c^2*d*f^2*h^2*p*q - 3*(p^2 + p*q)*d^3*f^2*g^2)*a*b^2)*log(b*x + a))/(b^3*d^3))/f^2","A",0
37,1,623,0,1.094810," ","integrate((h*x+g)*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(h x^{2} + 2 \, g x\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2} + \frac{r {\left(\frac{2 \, {\left(2 \, a b f g p - a^{2} f h p\right)} \log\left(b x + a\right)}{b^{2}} + \frac{2 \, {\left(2 \, c d f g q - c^{2} f h q\right)} \log\left(d x + c\right)}{d^{2}} - \frac{b d f h {\left(p + q\right)} x^{2} - 2 \, {\left(a d f h p - {\left(2 \, d f g {\left(p + q\right)} - c f h q\right)} b\right)} x}{b d}\right)} \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{2 \, f} + \frac{r^{2} {\left(\frac{2 \, {\left(2 \, a c d f^{2} h p q - {\left(4 \, {\left(p q + q^{2}\right)} c d f^{2} g - {\left(p q + 3 \, q^{2}\right)} c^{2} f^{2} h\right)} b\right)} \log\left(d x + c\right)}{b d^{2}} - \frac{4 \, {\left(2 \, a b d^{2} f^{2} g p q - a^{2} d^{2} f^{2} h p q - {\left(2 \, c d f^{2} g p q - c^{2} f^{2} h p q\right)} b^{2}\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)}}{b^{2} d^{2}} + \frac{{\left(p^{2} + 2 \, p q + q^{2}\right)} b^{2} d^{2} f^{2} h x^{2} - 4 \, {\left(2 \, c d f^{2} g p q - c^{2} f^{2} h p q\right)} b^{2} \log\left(b x + a\right) \log\left(d x + c\right) - 2 \, {\left(2 \, c d f^{2} g q^{2} - c^{2} f^{2} h q^{2}\right)} b^{2} \log\left(d x + c\right)^{2} - 2 \, {\left(2 \, a b d^{2} f^{2} g p^{2} - a^{2} d^{2} f^{2} h p^{2}\right)} \log\left(b x + a\right)^{2} - 2 \, {\left(3 \, {\left(p^{2} + p q\right)} a b d^{2} f^{2} h - {\left(4 \, {\left(p^{2} + 2 \, p q + q^{2}\right)} d^{2} f^{2} g - 3 \, {\left(p q + q^{2}\right)} c d f^{2} h\right)} b^{2}\right)} x + 2 \, {\left({\left(3 \, p^{2} + p q\right)} a^{2} d^{2} f^{2} h + 2 \, {\left(c d f^{2} h p q - 2 \, {\left(p^{2} + p q\right)} d^{2} f^{2} g\right)} a b\right)} \log\left(b x + a\right)}{b^{2} d^{2}}\right)}}{4 \, f^{2}}"," ",0,"1/2*(h*x^2 + 2*g*x)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2 + 1/2*r*(2*(2*a*b*f*g*p - a^2*f*h*p)*log(b*x + a)/b^2 + 2*(2*c*d*f*g*q - c^2*f*h*q)*log(d*x + c)/d^2 - (b*d*f*h*(p + q)*x^2 - 2*(a*d*f*h*p - (2*d*f*g*(p + q) - c*f*h*q)*b)*x)/(b*d))*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/f + 1/4*r^2*(2*(2*a*c*d*f^2*h*p*q - (4*(p*q + q^2)*c*d*f^2*g - (p*q + 3*q^2)*c^2*f^2*h)*b)*log(d*x + c)/(b*d^2) - 4*(2*a*b*d^2*f^2*g*p*q - a^2*d^2*f^2*h*p*q - (2*c*d*f^2*g*p*q - c^2*f^2*h*p*q)*b^2)*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))/(b^2*d^2) + ((p^2 + 2*p*q + q^2)*b^2*d^2*f^2*h*x^2 - 4*(2*c*d*f^2*g*p*q - c^2*f^2*h*p*q)*b^2*log(b*x + a)*log(d*x + c) - 2*(2*c*d*f^2*g*q^2 - c^2*f^2*h*q^2)*b^2*log(d*x + c)^2 - 2*(2*a*b*d^2*f^2*g*p^2 - a^2*d^2*f^2*h*p^2)*log(b*x + a)^2 - 2*(3*(p^2 + p*q)*a*b*d^2*f^2*h - (4*(p^2 + 2*p*q + q^2)*d^2*f^2*g - 3*(p*q + q^2)*c*d*f^2*h)*b^2)*x + 2*((3*p^2 + p*q)*a^2*d^2*f^2*h + 2*(c*d*f^2*h*p*q - 2*(p^2 + p*q)*d^2*f^2*g)*a*b)*log(b*x + a))/(b^2*d^2))/f^2","A",0
38,1,298,0,0.876826," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2,x, algorithm=""maxima"")","x \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2} - \frac{2 \, {\left(f {\left(p + q\right)} x - \frac{a f p \log\left(b x + a\right)}{b} - \frac{c f q \log\left(d x + c\right)}{d}\right)} r \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{f} - \frac{{\left(\frac{2 \, {\left(p q + q^{2}\right)} c f^{2} \log\left(d x + c\right)}{d} - \frac{2 \, {\left(b c f^{2} p q - a d f^{2} p q\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)}}{b d} + \frac{a d f^{2} p^{2} \log\left(b x + a\right)^{2} + 2 \, b c f^{2} p q \log\left(b x + a\right) \log\left(d x + c\right) + b c f^{2} q^{2} \log\left(d x + c\right)^{2} - 2 \, {\left(p^{2} + 2 \, p q + q^{2}\right)} b d f^{2} x + 2 \, {\left(p^{2} + p q\right)} a d f^{2} \log\left(b x + a\right)}{b d}\right)} r^{2}}{f^{2}}"," ",0,"x*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2 - 2*(f*(p + q)*x - a*f*p*log(b*x + a)/b - c*f*q*log(d*x + c)/d)*r*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/f - (2*(p*q + q^2)*c*f^2*log(d*x + c)/d - 2*(b*c*f^2*p*q - a*d*f^2*p*q)*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))/(b*d) + (a*d*f^2*p^2*log(b*x + a)^2 + 2*b*c*f^2*p*q*log(b*x + a)*log(d*x + c) + b*c*f^2*q^2*log(d*x + c)^2 - 2*(p^2 + 2*p*q + q^2)*b*d*f^2*x + 2*(p^2 + p*q)*a*d*f^2*log(b*x + a))/(b*d))*r^2/f^2","A",0
39,0,0,0,0.000000," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2/(h*x+g),x, algorithm=""maxima"")","\int \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2}}{h x + g}\,{d x}"," ",0,"integrate(log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2/(h*x + g), x)","F",0
40,1,745,0,1.795010," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2/(h*x+g)^2,x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{b f p \log\left(b x + a\right)}{b g - a h} + \frac{d f q \log\left(d x + c\right)}{d g - c h} - \frac{{\left(a d f h q - {\left(d f g {\left(p + q\right)} - c f h p\right)} b\right)} \log\left(h x + g\right)}{{\left(d g h - c h^{2}\right)} a - {\left(d g^{2} - c g h\right)} b}\right)} r \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{f h} - \frac{{\left(\frac{2 \, {\left(b c f^{2} h p q - a d f^{2} h p q\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)}}{{\left(d g h - c h^{2}\right)} a - {\left(d g^{2} - c g h\right)} b} + \frac{2 \, {\left(a d f^{2} h p q + {\left(c f^{2} h p^{2} - {\left(p^{2} + p q\right)} d f^{2} g\right)} b\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b h x + a h}{b g - a h} + 1\right) + {\rm Li}_2\left(-\frac{b h x + a h}{b g - a h}\right)\right)}}{{\left(d g h - c h^{2}\right)} a - {\left(d g^{2} - c g h\right)} b} + \frac{2 \, {\left(a d f^{2} h q^{2} + {\left(c f^{2} h p q - {\left(p q + q^{2}\right)} d f^{2} g\right)} b\right)} {\left(\log\left(d x + c\right) \log\left(\frac{d h x + c h}{d g - c h} + 1\right) + {\rm Li}_2\left(-\frac{d h x + c h}{d g - c h}\right)\right)}}{{\left(d g h - c h^{2}\right)} a - {\left(d g^{2} - c g h\right)} b} - \frac{{\left(d f^{2} g p^{2} - c f^{2} h p^{2}\right)} b \log\left(b x + a\right)^{2} + 2 \, {\left(b d f^{2} g p q - a d f^{2} h p q\right)} \log\left(b x + a\right) \log\left(d x + c\right) + {\left(b d f^{2} g q^{2} - a d f^{2} h q^{2}\right)} \log\left(d x + c\right)^{2} + 2 \, {\left({\left(a d f^{2} h p q + {\left(c f^{2} h p^{2} - {\left(p^{2} + p q\right)} d f^{2} g\right)} b\right)} \log\left(b x + a\right) + {\left(a d f^{2} h q^{2} + {\left(c f^{2} h p q - {\left(p q + q^{2}\right)} d f^{2} g\right)} b\right)} \log\left(d x + c\right)\right)} \log\left(h x + g\right)}{{\left(d g h - c h^{2}\right)} a - {\left(d g^{2} - c g h\right)} b}\right)} r^{2}}{f^{2} h} - \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2}}{{\left(h x + g\right)} h}"," ",0,"2*(b*f*p*log(b*x + a)/(b*g - a*h) + d*f*q*log(d*x + c)/(d*g - c*h) - (a*d*f*h*q - (d*f*g*(p + q) - c*f*h*p)*b)*log(h*x + g)/((d*g*h - c*h^2)*a - (d*g^2 - c*g*h)*b))*r*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/(f*h) - (2*(b*c*f^2*h*p*q - a*d*f^2*h*p*q)*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))/((d*g*h - c*h^2)*a - (d*g^2 - c*g*h)*b) + 2*(a*d*f^2*h*p*q + (c*f^2*h*p^2 - (p^2 + p*q)*d*f^2*g)*b)*(log(b*x + a)*log((b*h*x + a*h)/(b*g - a*h) + 1) + dilog(-(b*h*x + a*h)/(b*g - a*h)))/((d*g*h - c*h^2)*a - (d*g^2 - c*g*h)*b) + 2*(a*d*f^2*h*q^2 + (c*f^2*h*p*q - (p*q + q^2)*d*f^2*g)*b)*(log(d*x + c)*log((d*h*x + c*h)/(d*g - c*h) + 1) + dilog(-(d*h*x + c*h)/(d*g - c*h)))/((d*g*h - c*h^2)*a - (d*g^2 - c*g*h)*b) - ((d*f^2*g*p^2 - c*f^2*h*p^2)*b*log(b*x + a)^2 + 2*(b*d*f^2*g*p*q - a*d*f^2*h*p*q)*log(b*x + a)*log(d*x + c) + (b*d*f^2*g*q^2 - a*d*f^2*h*q^2)*log(d*x + c)^2 + 2*((a*d*f^2*h*p*q + (c*f^2*h*p^2 - (p^2 + p*q)*d*f^2*g)*b)*log(b*x + a) + (a*d*f^2*h*q^2 + (c*f^2*h*p*q - (p*q + q^2)*d*f^2*g)*b)*log(d*x + c))*log(h*x + g))/((d*g*h - c*h^2)*a - (d*g^2 - c*g*h)*b))*r^2/(f^2*h) - log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2/((h*x + g)*h)","A",0
41,1,1857,0,3.862254," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2/(h*x+g)^3,x, algorithm=""maxima"")","\frac{{\left(\frac{b^{2} f p \log\left(b x + a\right)}{b^{2} g^{2} - 2 \, a b g h + a^{2} h^{2}} + \frac{d^{2} f q \log\left(d x + c\right)}{d^{2} g^{2} - 2 \, c d g h + c^{2} h^{2}} + \frac{{\left(2 \, a b d^{2} f g h q - a^{2} d^{2} f h^{2} q - {\left(d^{2} f g^{2} {\left(p + q\right)} - 2 \, c d f g h p + c^{2} f h^{2} p\right)} b^{2}\right)} \log\left(h x + g\right)}{{\left(d^{2} g^{2} h^{2} - 2 \, c d g h^{3} + c^{2} h^{4}\right)} a^{2} - 2 \, {\left(d^{2} g^{3} h - 2 \, c d g^{2} h^{2} + c^{2} g h^{3}\right)} a b + {\left(d^{2} g^{4} - 2 \, c d g^{3} h + c^{2} g^{2} h^{2}\right)} b^{2}} + \frac{a d f h q - {\left(d f g {\left(p + q\right)} - c f h p\right)} b}{{\left(d g^{2} h - c g h^{2}\right)} a - {\left(d g^{3} - c g^{2} h\right)} b + {\left({\left(d g h^{2} - c h^{3}\right)} a - {\left(d g^{2} h - c g h^{2}\right)} b\right)} x}\right)} r \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{f h} + \frac{{\left(\frac{2 \, {\left(2 \, a b d^{2} f^{2} g h p q - a^{2} d^{2} f^{2} h^{2} p q - {\left(2 \, c d f^{2} g h p q - c^{2} f^{2} h^{2} p q\right)} b^{2}\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)}}{{\left(d g h^{2} - c h^{3}\right)} a^{2} - 2 \, {\left(d g^{2} h - c g h^{2}\right)} a b + {\left(d g^{3} - c g^{2} h\right)} b^{2}} - \frac{2 \, {\left(2 \, a b d^{2} f^{2} g h p q - a^{2} d^{2} f^{2} h^{2} p q + {\left(2 \, c d f^{2} g h p^{2} - c^{2} f^{2} h^{2} p^{2} - {\left(p^{2} + p q\right)} d^{2} f^{2} g^{2}\right)} b^{2}\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b h x + a h}{b g - a h} + 1\right) + {\rm Li}_2\left(-\frac{b h x + a h}{b g - a h}\right)\right)}}{{\left(d g h^{2} - c h^{3}\right)} a^{2} - 2 \, {\left(d g^{2} h - c g h^{2}\right)} a b + {\left(d g^{3} - c g^{2} h\right)} b^{2}} + \frac{2 \, {\left(2 \, a b d^{2} f^{2} g h q^{2} - a^{2} d^{2} f^{2} h^{2} q^{2} + {\left(2 \, c d f^{2} g h p q - c^{2} f^{2} h^{2} p q - {\left(p q + q^{2}\right)} d^{2} f^{2} g^{2}\right)} b^{2}\right)} {\left(\log\left(d x + c\right) \log\left(\frac{d h x + c h}{d g - c h} + 1\right) + {\rm Li}_2\left(-\frac{d h x + c h}{d g - c h}\right)\right)}}{{\left(d^{2} g^{2} h^{2} - 2 \, c d g h^{3} + c^{2} h^{4}\right)} a^{2} - 2 \, {\left(d^{2} g^{3} h - 2 \, c d g^{2} h^{2} + c^{2} g h^{3}\right)} a b + {\left(d^{2} g^{4} - 2 \, c d g^{3} h + c^{2} g^{2} h^{2}\right)} b^{2}} - \frac{2 \, {\left(a d^{2} f^{2} h q^{2} + {\left(c d f^{2} h p q - {\left(p q + q^{2}\right)} d^{2} f^{2} g\right)} b\right)} \log\left(d x + c\right)}{{\left(d^{2} g^{2} h - 2 \, c d g h^{2} + c^{2} h^{3}\right)} a - {\left(d^{2} g^{3} - 2 \, c d g^{2} h + c^{2} g h^{2}\right)} b} + \frac{2 \, {\left(a^{2} d^{2} f^{2} h^{2} q^{2} + 2 \, {\left(c d f^{2} h^{2} p q - {\left(p q + q^{2}\right)} d^{2} f^{2} g h\right)} a b + {\left(c^{2} f^{2} h^{2} p^{2} + {\left(p^{2} + 2 \, p q + q^{2}\right)} d^{2} f^{2} g^{2} - 2 \, {\left(p^{2} + p q\right)} c d f^{2} g h\right)} b^{2}\right)} \log\left(h x + g\right)}{{\left(d^{2} g^{2} h^{2} - 2 \, c d g h^{3} + c^{2} h^{4}\right)} a^{2} - 2 \, {\left(d^{2} g^{3} h - 2 \, c d g^{2} h^{2} + c^{2} g h^{3}\right)} a b + {\left(d^{2} g^{4} - 2 \, c d g^{3} h + c^{2} g^{2} h^{2}\right)} b^{2}} + \frac{{\left(d^{3} f^{2} g^{3} p^{2} - 3 \, c d^{2} f^{2} g^{2} h p^{2} + 3 \, c^{2} d f^{2} g h^{2} p^{2} - c^{3} f^{2} h^{3} p^{2}\right)} b^{2} \log\left(b x + a\right)^{2} - 2 \, {\left(b^{2} d^{2} f^{2} g^{2} p q - 2 \, a b d^{2} f^{2} g h p q + a^{2} d^{2} f^{2} h^{2} p q\right)} \log\left(b x + a\right) \log\left(d x + c\right) - {\left(b^{2} d^{2} f^{2} g^{2} q^{2} - 2 \, a b d^{2} f^{2} g h q^{2} + a^{2} d^{2} f^{2} h^{2} q^{2}\right)} \log\left(d x + c\right)^{2} + 2 \, {\left({\left(d^{2} f^{2} g h p q - c d f^{2} h^{2} p q\right)} a b - {\left(c^{2} f^{2} h^{2} p^{2} + {\left(p^{2} + p q\right)} d^{2} f^{2} g^{2} - {\left(2 \, p^{2} + p q\right)} c d f^{2} g h\right)} b^{2}\right)} \log\left(b x + a\right) - 2 \, {\left({\left(2 \, a b d^{2} f^{2} g h p q - a^{2} d^{2} f^{2} h^{2} p q + {\left(2 \, c d f^{2} g h p^{2} - c^{2} f^{2} h^{2} p^{2} - {\left(p^{2} + p q\right)} d^{2} f^{2} g^{2}\right)} b^{2}\right)} \log\left(b x + a\right) + {\left(2 \, a b d^{2} f^{2} g h q^{2} - a^{2} d^{2} f^{2} h^{2} q^{2} + {\left(2 \, c d f^{2} g h p q - c^{2} f^{2} h^{2} p q - {\left(p q + q^{2}\right)} d^{2} f^{2} g^{2}\right)} b^{2}\right)} \log\left(d x + c\right)\right)} \log\left(h x + g\right)}{{\left(d^{2} g^{2} h^{2} - 2 \, c d g h^{3} + c^{2} h^{4}\right)} a^{2} - 2 \, {\left(d^{2} g^{3} h - 2 \, c d g^{2} h^{2} + c^{2} g h^{3}\right)} a b + {\left(d^{2} g^{4} - 2 \, c d g^{3} h + c^{2} g^{2} h^{2}\right)} b^{2}}\right)} r^{2}}{2 \, f^{2} h} - \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2}}{2 \, {\left(h x + g\right)}^{2} h}"," ",0,"(b^2*f*p*log(b*x + a)/(b^2*g^2 - 2*a*b*g*h + a^2*h^2) + d^2*f*q*log(d*x + c)/(d^2*g^2 - 2*c*d*g*h + c^2*h^2) + (2*a*b*d^2*f*g*h*q - a^2*d^2*f*h^2*q - (d^2*f*g^2*(p + q) - 2*c*d*f*g*h*p + c^2*f*h^2*p)*b^2)*log(h*x + g)/((d^2*g^2*h^2 - 2*c*d*g*h^3 + c^2*h^4)*a^2 - 2*(d^2*g^3*h - 2*c*d*g^2*h^2 + c^2*g*h^3)*a*b + (d^2*g^4 - 2*c*d*g^3*h + c^2*g^2*h^2)*b^2) + (a*d*f*h*q - (d*f*g*(p + q) - c*f*h*p)*b)/((d*g^2*h - c*g*h^2)*a - (d*g^3 - c*g^2*h)*b + ((d*g*h^2 - c*h^3)*a - (d*g^2*h - c*g*h^2)*b)*x))*r*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/(f*h) + 1/2*(2*(2*a*b*d^2*f^2*g*h*p*q - a^2*d^2*f^2*h^2*p*q - (2*c*d*f^2*g*h*p*q - c^2*f^2*h^2*p*q)*b^2)*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))/((d*g*h^2 - c*h^3)*a^2 - 2*(d*g^2*h - c*g*h^2)*a*b + (d*g^3 - c*g^2*h)*b^2) - 2*(2*a*b*d^2*f^2*g*h*p*q - a^2*d^2*f^2*h^2*p*q + (2*c*d*f^2*g*h*p^2 - c^2*f^2*h^2*p^2 - (p^2 + p*q)*d^2*f^2*g^2)*b^2)*(log(b*x + a)*log((b*h*x + a*h)/(b*g - a*h) + 1) + dilog(-(b*h*x + a*h)/(b*g - a*h)))/((d*g*h^2 - c*h^3)*a^2 - 2*(d*g^2*h - c*g*h^2)*a*b + (d*g^3 - c*g^2*h)*b^2) + 2*(2*a*b*d^2*f^2*g*h*q^2 - a^2*d^2*f^2*h^2*q^2 + (2*c*d*f^2*g*h*p*q - c^2*f^2*h^2*p*q - (p*q + q^2)*d^2*f^2*g^2)*b^2)*(log(d*x + c)*log((d*h*x + c*h)/(d*g - c*h) + 1) + dilog(-(d*h*x + c*h)/(d*g - c*h)))/((d^2*g^2*h^2 - 2*c*d*g*h^3 + c^2*h^4)*a^2 - 2*(d^2*g^3*h - 2*c*d*g^2*h^2 + c^2*g*h^3)*a*b + (d^2*g^4 - 2*c*d*g^3*h + c^2*g^2*h^2)*b^2) - 2*(a*d^2*f^2*h*q^2 + (c*d*f^2*h*p*q - (p*q + q^2)*d^2*f^2*g)*b)*log(d*x + c)/((d^2*g^2*h - 2*c*d*g*h^2 + c^2*h^3)*a - (d^2*g^3 - 2*c*d*g^2*h + c^2*g*h^2)*b) + 2*(a^2*d^2*f^2*h^2*q^2 + 2*(c*d*f^2*h^2*p*q - (p*q + q^2)*d^2*f^2*g*h)*a*b + (c^2*f^2*h^2*p^2 + (p^2 + 2*p*q + q^2)*d^2*f^2*g^2 - 2*(p^2 + p*q)*c*d*f^2*g*h)*b^2)*log(h*x + g)/((d^2*g^2*h^2 - 2*c*d*g*h^3 + c^2*h^4)*a^2 - 2*(d^2*g^3*h - 2*c*d*g^2*h^2 + c^2*g*h^3)*a*b + (d^2*g^4 - 2*c*d*g^3*h + c^2*g^2*h^2)*b^2) + ((d^3*f^2*g^3*p^2 - 3*c*d^2*f^2*g^2*h*p^2 + 3*c^2*d*f^2*g*h^2*p^2 - c^3*f^2*h^3*p^2)*b^2*log(b*x + a)^2 - 2*(b^2*d^2*f^2*g^2*p*q - 2*a*b*d^2*f^2*g*h*p*q + a^2*d^2*f^2*h^2*p*q)*log(b*x + a)*log(d*x + c) - (b^2*d^2*f^2*g^2*q^2 - 2*a*b*d^2*f^2*g*h*q^2 + a^2*d^2*f^2*h^2*q^2)*log(d*x + c)^2 + 2*((d^2*f^2*g*h*p*q - c*d*f^2*h^2*p*q)*a*b - (c^2*f^2*h^2*p^2 + (p^2 + p*q)*d^2*f^2*g^2 - (2*p^2 + p*q)*c*d*f^2*g*h)*b^2)*log(b*x + a) - 2*((2*a*b*d^2*f^2*g*h*p*q - a^2*d^2*f^2*h^2*p*q + (2*c*d*f^2*g*h*p^2 - c^2*f^2*h^2*p^2 - (p^2 + p*q)*d^2*f^2*g^2)*b^2)*log(b*x + a) + (2*a*b*d^2*f^2*g*h*q^2 - a^2*d^2*f^2*h^2*q^2 + (2*c*d*f^2*g*h*p*q - c^2*f^2*h^2*p*q - (p*q + q^2)*d^2*f^2*g^2)*b^2)*log(d*x + c))*log(h*x + g))/((d^2*g^2*h^2 - 2*c*d*g*h^3 + c^2*h^4)*a^2 - 2*(d^2*g^3*h - 2*c*d*g^2*h^2 + c^2*g*h^3)*a*b + (d^2*g^4 - 2*c*d*g^3*h + c^2*g^2*h^2)*b^2))*r^2/(f^2*h) - 1/2*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2/((h*x + g)^2*h)","A",0
42,1,4732,0,8.911619," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)^2/(h*x+g)^4,x, algorithm=""maxima"")","\frac{{\left(\frac{2 \, b^{3} f p \log\left(b x + a\right)}{b^{3} g^{3} - 3 \, a b^{2} g^{2} h + 3 \, a^{2} b g h^{2} - a^{3} h^{3}} + \frac{2 \, d^{3} f q \log\left(d x + c\right)}{d^{3} g^{3} - 3 \, c d^{2} g^{2} h + 3 \, c^{2} d g h^{2} - c^{3} h^{3}} - \frac{2 \, {\left(3 \, a b^{2} d^{3} f g^{2} h q - 3 \, a^{2} b d^{3} f g h^{2} q + a^{3} d^{3} f h^{3} q - {\left(d^{3} f g^{3} {\left(p + q\right)} - 3 \, c d^{2} f g^{2} h p + 3 \, c^{2} d f g h^{2} p - c^{3} f h^{3} p\right)} b^{3}\right)} \log\left(h x + g\right)}{{\left(d^{3} g^{3} h^{3} - 3 \, c d^{2} g^{2} h^{4} + 3 \, c^{2} d g h^{5} - c^{3} h^{6}\right)} a^{3} - 3 \, {\left(d^{3} g^{4} h^{2} - 3 \, c d^{2} g^{3} h^{3} + 3 \, c^{2} d g^{2} h^{4} - c^{3} g h^{5}\right)} a^{2} b + 3 \, {\left(d^{3} g^{5} h - 3 \, c d^{2} g^{4} h^{2} + 3 \, c^{2} d g^{3} h^{3} - c^{3} g^{2} h^{4}\right)} a b^{2} - {\left(d^{3} g^{6} - 3 \, c d^{2} g^{5} h + 3 \, c^{2} d g^{4} h^{2} - c^{3} g^{3} h^{3}\right)} b^{3}} + \frac{{\left(3 \, d^{2} f g h^{2} q - c d f h^{3} q\right)} a^{2} - {\left(d^{2} f g^{2} h {\left(p + 6 \, q\right)} - 2 \, c d f g h^{2} {\left(p + q\right)} + c^{2} f h^{3} p\right)} a b - {\left(c d f g^{2} h {\left(6 \, p + q\right)} - 3 \, d^{2} f g^{3} {\left(p + q\right)} - 3 \, c^{2} f g h^{2} p\right)} b^{2} - 2 \, {\left(2 \, a b d^{2} f g h^{2} q - a^{2} d^{2} f h^{3} q - {\left(d^{2} f g^{2} h {\left(p + q\right)} - 2 \, c d f g h^{2} p + c^{2} f h^{3} p\right)} b^{2}\right)} x}{{\left(d^{2} g^{4} h^{2} - 2 \, c d g^{3} h^{3} + c^{2} g^{2} h^{4}\right)} a^{2} - 2 \, {\left(d^{2} g^{5} h - 2 \, c d g^{4} h^{2} + c^{2} g^{3} h^{3}\right)} a b + {\left(d^{2} g^{6} - 2 \, c d g^{5} h + c^{2} g^{4} h^{2}\right)} b^{2} + {\left({\left(d^{2} g^{2} h^{4} - 2 \, c d g h^{5} + c^{2} h^{6}\right)} a^{2} - 2 \, {\left(d^{2} g^{3} h^{3} - 2 \, c d g^{2} h^{4} + c^{2} g h^{5}\right)} a b + {\left(d^{2} g^{4} h^{2} - 2 \, c d g^{3} h^{3} + c^{2} g^{2} h^{4}\right)} b^{2}\right)} x^{2} + 2 \, {\left({\left(d^{2} g^{3} h^{3} - 2 \, c d g^{2} h^{4} + c^{2} g h^{5}\right)} a^{2} - 2 \, {\left(d^{2} g^{4} h^{2} - 2 \, c d g^{3} h^{3} + c^{2} g^{2} h^{4}\right)} a b + {\left(d^{2} g^{5} h - 2 \, c d g^{4} h^{2} + c^{2} g^{3} h^{3}\right)} b^{2}\right)} x}\right)} r \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{3 \, f h} + \frac{{\left(\frac{2 \, {\left(3 \, a b^{2} d^{3} f^{2} g^{2} h p q - 3 \, a^{2} b d^{3} f^{2} g h^{2} p q + a^{3} d^{3} f^{2} h^{3} p q - {\left(3 \, c d^{2} f^{2} g^{2} h p q - 3 \, c^{2} d f^{2} g h^{2} p q + c^{3} f^{2} h^{3} p q\right)} b^{3}\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)}}{{\left(d^{3} g^{3} h^{3} - 3 \, c d^{2} g^{2} h^{4} + 3 \, c^{2} d g h^{5} - c^{3} h^{6}\right)} a^{3} - 3 \, {\left(d^{3} g^{4} h^{2} - 3 \, c d^{2} g^{3} h^{3} + 3 \, c^{2} d g^{2} h^{4} - c^{3} g h^{5}\right)} a^{2} b + 3 \, {\left(d^{3} g^{5} h - 3 \, c d^{2} g^{4} h^{2} + 3 \, c^{2} d g^{3} h^{3} - c^{3} g^{2} h^{4}\right)} a b^{2} - {\left(d^{3} g^{6} - 3 \, c d^{2} g^{5} h + 3 \, c^{2} d g^{4} h^{2} - c^{3} g^{3} h^{3}\right)} b^{3}} - \frac{2 \, {\left(3 \, a b^{2} d^{3} f^{2} g^{2} h p q - 3 \, a^{2} b d^{3} f^{2} g h^{2} p q + a^{3} d^{3} f^{2} h^{3} p q + {\left(3 \, c d^{2} f^{2} g^{2} h p^{2} - 3 \, c^{2} d f^{2} g h^{2} p^{2} + c^{3} f^{2} h^{3} p^{2} - {\left(p^{2} + p q\right)} d^{3} f^{2} g^{3}\right)} b^{3}\right)} {\left(\log\left(b x + a\right) \log\left(\frac{b h x + a h}{b g - a h} + 1\right) + {\rm Li}_2\left(-\frac{b h x + a h}{b g - a h}\right)\right)}}{{\left(d^{3} g^{3} h^{3} - 3 \, c d^{2} g^{2} h^{4} + 3 \, c^{2} d g h^{5} - c^{3} h^{6}\right)} a^{3} - 3 \, {\left(d^{3} g^{4} h^{2} - 3 \, c d^{2} g^{3} h^{3} + 3 \, c^{2} d g^{2} h^{4} - c^{3} g h^{5}\right)} a^{2} b + 3 \, {\left(d^{3} g^{5} h - 3 \, c d^{2} g^{4} h^{2} + 3 \, c^{2} d g^{3} h^{3} - c^{3} g^{2} h^{4}\right)} a b^{2} - {\left(d^{3} g^{6} - 3 \, c d^{2} g^{5} h + 3 \, c^{2} d g^{4} h^{2} - c^{3} g^{3} h^{3}\right)} b^{3}} - \frac{2 \, {\left(3 \, a b^{2} d^{3} f^{2} g^{2} h q^{2} - 3 \, a^{2} b d^{3} f^{2} g h^{2} q^{2} + a^{3} d^{3} f^{2} h^{3} q^{2} + {\left(3 \, c d^{2} f^{2} g^{2} h p q - 3 \, c^{2} d f^{2} g h^{2} p q + c^{3} f^{2} h^{3} p q - {\left(p q + q^{2}\right)} d^{3} f^{2} g^{3}\right)} b^{3}\right)} {\left(\log\left(d x + c\right) \log\left(\frac{d h x + c h}{d g - c h} + 1\right) + {\rm Li}_2\left(-\frac{d h x + c h}{d g - c h}\right)\right)}}{{\left(d^{3} g^{3} h^{3} - 3 \, c d^{2} g^{2} h^{4} + 3 \, c^{2} d g h^{5} - c^{3} h^{6}\right)} a^{3} - 3 \, {\left(d^{3} g^{4} h^{2} - 3 \, c d^{2} g^{3} h^{3} + 3 \, c^{2} d g^{2} h^{4} - c^{3} g h^{5}\right)} a^{2} b + 3 \, {\left(d^{3} g^{5} h - 3 \, c d^{2} g^{4} h^{2} + 3 \, c^{2} d g^{3} h^{3} - c^{3} g^{2} h^{4}\right)} a b^{2} - {\left(d^{3} g^{6} - 3 \, c d^{2} g^{5} h + 3 \, c^{2} d g^{4} h^{2} - c^{3} g^{3} h^{3}\right)} b^{3}} - \frac{{\left(3 \, a^{2} d^{3} f^{2} h^{2} q^{2} + {\left(c d^{2} f^{2} h^{2} p q - {\left(p q + 6 \, q^{2}\right)} d^{3} f^{2} g h\right)} a b - {\left(5 \, c d^{2} f^{2} g h p q - 2 \, c^{2} d f^{2} h^{2} p q - 3 \, {\left(p q + q^{2}\right)} d^{3} f^{2} g^{2}\right)} b^{2}\right)} \log\left(d x + c\right)}{{\left(d^{3} g^{3} h^{2} - 3 \, c d^{2} g^{2} h^{3} + 3 \, c^{2} d g h^{4} - c^{3} h^{5}\right)} a^{2} - 2 \, {\left(d^{3} g^{4} h - 3 \, c d^{2} g^{3} h^{2} + 3 \, c^{2} d g^{2} h^{3} - c^{3} g h^{4}\right)} a b + {\left(d^{3} g^{5} - 3 \, c d^{2} g^{4} h + 3 \, c^{2} d g^{3} h^{2} - c^{3} g^{2} h^{3}\right)} b^{2}} + \frac{3 \, {\left(a^{3} d^{3} f^{2} h^{3} q^{2} + {\left(c d^{2} f^{2} h^{3} p q - {\left(p q + 3 \, q^{2}\right)} d^{3} f^{2} g h^{2}\right)} a^{2} b - {\left(4 \, c d^{2} f^{2} g h^{2} p q - c^{2} d f^{2} h^{3} p q - 3 \, {\left(p q + q^{2}\right)} d^{3} f^{2} g^{2} h\right)} a b^{2} + {\left(c^{3} f^{2} h^{3} p^{2} - {\left(p^{2} + 2 \, p q + q^{2}\right)} d^{3} f^{2} g^{3} + 3 \, {\left(p^{2} + p q\right)} c d^{2} f^{2} g^{2} h - {\left(3 \, p^{2} + p q\right)} c^{2} d f^{2} g h^{2}\right)} b^{3}\right)} \log\left(h x + g\right)}{{\left(d^{3} g^{3} h^{3} - 3 \, c d^{2} g^{2} h^{4} + 3 \, c^{2} d g h^{5} - c^{3} h^{6}\right)} a^{3} - 3 \, {\left(d^{3} g^{4} h^{2} - 3 \, c d^{2} g^{3} h^{3} + 3 \, c^{2} d g^{2} h^{4} - c^{3} g h^{5}\right)} a^{2} b + 3 \, {\left(d^{3} g^{5} h - 3 \, c d^{2} g^{4} h^{2} + 3 \, c^{2} d g^{3} h^{3} - c^{3} g^{2} h^{4}\right)} a b^{2} - {\left(d^{3} g^{6} - 3 \, c d^{2} g^{5} h + 3 \, c^{2} d g^{4} h^{2} - c^{3} g^{3} h^{3}\right)} b^{3}} - \frac{{\left(d^{3} f^{2} g h^{3} q^{2} - c d^{2} f^{2} h^{4} q^{2}\right)} a^{3} - {\left(2 \, c^{2} d f^{2} h^{4} p q + {\left(2 \, p q + 3 \, q^{2}\right)} d^{3} f^{2} g^{2} h^{2} - {\left(4 \, p q + 3 \, q^{2}\right)} c d^{2} f^{2} g h^{3}\right)} a^{2} b - {\left(c^{3} f^{2} h^{4} p^{2} - {\left(p^{2} + 4 \, p q + 3 \, q^{2}\right)} d^{3} f^{2} g^{3} h + {\left(3 \, p^{2} + 8 \, p q + 3 \, q^{2}\right)} c d^{2} f^{2} g^{2} h^{2} - {\left(3 \, p^{2} + 4 \, p q\right)} c^{2} d f^{2} g h^{3}\right)} a b^{2} + {\left(c^{3} f^{2} g h^{3} p^{2} - {\left(p^{2} + 2 \, p q + q^{2}\right)} d^{3} f^{2} g^{4} + {\left(3 \, p^{2} + 4 \, p q + q^{2}\right)} c d^{2} f^{2} g^{3} h - {\left(3 \, p^{2} + 2 \, p q\right)} c^{2} d f^{2} g^{2} h^{2}\right)} b^{3} - {\left({\left(d^{3} f^{2} g^{3} h p^{2} - 3 \, c d^{2} f^{2} g^{2} h^{2} p^{2} + 3 \, c^{2} d f^{2} g h^{3} p^{2} - c^{3} f^{2} h^{4} p^{2}\right)} b^{3} x + {\left(d^{3} f^{2} g^{4} p^{2} - 3 \, c d^{2} f^{2} g^{3} h p^{2} + 3 \, c^{2} d f^{2} g^{2} h^{2} p^{2} - c^{3} f^{2} g h^{3} p^{2}\right)} b^{3}\right)} \log\left(b x + a\right)^{2} - 2 \, {\left(b^{3} d^{3} f^{2} g^{4} p q - 3 \, a b^{2} d^{3} f^{2} g^{3} h p q + 3 \, a^{2} b d^{3} f^{2} g^{2} h^{2} p q - a^{3} d^{3} f^{2} g h^{3} p q + {\left(b^{3} d^{3} f^{2} g^{3} h p q - 3 \, a b^{2} d^{3} f^{2} g^{2} h^{2} p q + 3 \, a^{2} b d^{3} f^{2} g h^{3} p q - a^{3} d^{3} f^{2} h^{4} p q\right)} x\right)} \log\left(b x + a\right) \log\left(d x + c\right) - {\left(b^{3} d^{3} f^{2} g^{4} q^{2} - 3 \, a b^{2} d^{3} f^{2} g^{3} h q^{2} + 3 \, a^{2} b d^{3} f^{2} g^{2} h^{2} q^{2} - a^{3} d^{3} f^{2} g h^{3} q^{2} + {\left(b^{3} d^{3} f^{2} g^{3} h q^{2} - 3 \, a b^{2} d^{3} f^{2} g^{2} h^{2} q^{2} + 3 \, a^{2} b d^{3} f^{2} g h^{3} q^{2} - a^{3} d^{3} f^{2} h^{4} q^{2}\right)} x\right)} \log\left(d x + c\right)^{2} - {\left(2 \, {\left(d^{3} f^{2} g^{2} h^{2} p q - c d^{2} f^{2} g h^{3} p q\right)} a^{2} b - {\left(5 \, d^{3} f^{2} g^{3} h p q - 6 \, c d^{2} f^{2} g^{2} h^{2} p q + c^{2} d f^{2} g h^{3} p q\right)} a b^{2} - {\left(3 \, c^{3} f^{2} g h^{3} p^{2} - 3 \, {\left(p^{2} + p q\right)} d^{3} f^{2} g^{4} + {\left(9 \, p^{2} + 4 \, p q\right)} c d^{2} f^{2} g^{3} h - {\left(9 \, p^{2} + p q\right)} c^{2} d f^{2} g^{2} h^{2}\right)} b^{3} + {\left(2 \, {\left(d^{3} f^{2} g h^{3} p q - c d^{2} f^{2} h^{4} p q\right)} a^{2} b - {\left(5 \, d^{3} f^{2} g^{2} h^{2} p q - 6 \, c d^{2} f^{2} g h^{3} p q + c^{2} d f^{2} h^{4} p q\right)} a b^{2} - {\left(3 \, c^{3} f^{2} h^{4} p^{2} - 3 \, {\left(p^{2} + p q\right)} d^{3} f^{2} g^{3} h + {\left(9 \, p^{2} + 4 \, p q\right)} c d^{2} f^{2} g^{2} h^{2} - {\left(9 \, p^{2} + p q\right)} c^{2} d f^{2} g h^{3}\right)} b^{3}\right)} x\right)} \log\left(b x + a\right) - 2 \, {\left({\left(3 \, a b^{2} d^{3} f^{2} g^{3} h p q - 3 \, a^{2} b d^{3} f^{2} g^{2} h^{2} p q + a^{3} d^{3} f^{2} g h^{3} p q + {\left(3 \, c d^{2} f^{2} g^{3} h p^{2} - 3 \, c^{2} d f^{2} g^{2} h^{2} p^{2} + c^{3} f^{2} g h^{3} p^{2} - {\left(p^{2} + p q\right)} d^{3} f^{2} g^{4}\right)} b^{3} + {\left(3 \, a b^{2} d^{3} f^{2} g^{2} h^{2} p q - 3 \, a^{2} b d^{3} f^{2} g h^{3} p q + a^{3} d^{3} f^{2} h^{4} p q + {\left(3 \, c d^{2} f^{2} g^{2} h^{2} p^{2} - 3 \, c^{2} d f^{2} g h^{3} p^{2} + c^{3} f^{2} h^{4} p^{2} - {\left(p^{2} + p q\right)} d^{3} f^{2} g^{3} h\right)} b^{3}\right)} x\right)} \log\left(b x + a\right) + {\left(3 \, a b^{2} d^{3} f^{2} g^{3} h q^{2} - 3 \, a^{2} b d^{3} f^{2} g^{2} h^{2} q^{2} + a^{3} d^{3} f^{2} g h^{3} q^{2} + {\left(3 \, c d^{2} f^{2} g^{3} h p q - 3 \, c^{2} d f^{2} g^{2} h^{2} p q + c^{3} f^{2} g h^{3} p q - {\left(p q + q^{2}\right)} d^{3} f^{2} g^{4}\right)} b^{3} + {\left(3 \, a b^{2} d^{3} f^{2} g^{2} h^{2} q^{2} - 3 \, a^{2} b d^{3} f^{2} g h^{3} q^{2} + a^{3} d^{3} f^{2} h^{4} q^{2} + {\left(3 \, c d^{2} f^{2} g^{2} h^{2} p q - 3 \, c^{2} d f^{2} g h^{3} p q + c^{3} f^{2} h^{4} p q - {\left(p q + q^{2}\right)} d^{3} f^{2} g^{3} h\right)} b^{3}\right)} x\right)} \log\left(d x + c\right)\right)} \log\left(h x + g\right)}{{\left(d^{3} g^{4} h^{3} - 3 \, c d^{2} g^{3} h^{4} + 3 \, c^{2} d g^{2} h^{5} - c^{3} g h^{6}\right)} a^{3} - 3 \, {\left(d^{3} g^{5} h^{2} - 3 \, c d^{2} g^{4} h^{3} + 3 \, c^{2} d g^{3} h^{4} - c^{3} g^{2} h^{5}\right)} a^{2} b + 3 \, {\left(d^{3} g^{6} h - 3 \, c d^{2} g^{5} h^{2} + 3 \, c^{2} d g^{4} h^{3} - c^{3} g^{3} h^{4}\right)} a b^{2} - {\left(d^{3} g^{7} - 3 \, c d^{2} g^{6} h + 3 \, c^{2} d g^{5} h^{2} - c^{3} g^{4} h^{3}\right)} b^{3} + {\left({\left(d^{3} g^{3} h^{4} - 3 \, c d^{2} g^{2} h^{5} + 3 \, c^{2} d g h^{6} - c^{3} h^{7}\right)} a^{3} - 3 \, {\left(d^{3} g^{4} h^{3} - 3 \, c d^{2} g^{3} h^{4} + 3 \, c^{2} d g^{2} h^{5} - c^{3} g h^{6}\right)} a^{2} b + 3 \, {\left(d^{3} g^{5} h^{2} - 3 \, c d^{2} g^{4} h^{3} + 3 \, c^{2} d g^{3} h^{4} - c^{3} g^{2} h^{5}\right)} a b^{2} - {\left(d^{3} g^{6} h - 3 \, c d^{2} g^{5} h^{2} + 3 \, c^{2} d g^{4} h^{3} - c^{3} g^{3} h^{4}\right)} b^{3}\right)} x}\right)} r^{2}}{3 \, f^{2} h} - \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)^{2}}{3 \, {\left(h x + g\right)}^{3} h}"," ",0,"1/3*(2*b^3*f*p*log(b*x + a)/(b^3*g^3 - 3*a*b^2*g^2*h + 3*a^2*b*g*h^2 - a^3*h^3) + 2*d^3*f*q*log(d*x + c)/(d^3*g^3 - 3*c*d^2*g^2*h + 3*c^2*d*g*h^2 - c^3*h^3) - 2*(3*a*b^2*d^3*f*g^2*h*q - 3*a^2*b*d^3*f*g*h^2*q + a^3*d^3*f*h^3*q - (d^3*f*g^3*(p + q) - 3*c*d^2*f*g^2*h*p + 3*c^2*d*f*g*h^2*p - c^3*f*h^3*p)*b^3)*log(h*x + g)/((d^3*g^3*h^3 - 3*c*d^2*g^2*h^4 + 3*c^2*d*g*h^5 - c^3*h^6)*a^3 - 3*(d^3*g^4*h^2 - 3*c*d^2*g^3*h^3 + 3*c^2*d*g^2*h^4 - c^3*g*h^5)*a^2*b + 3*(d^3*g^5*h - 3*c*d^2*g^4*h^2 + 3*c^2*d*g^3*h^3 - c^3*g^2*h^4)*a*b^2 - (d^3*g^6 - 3*c*d^2*g^5*h + 3*c^2*d*g^4*h^2 - c^3*g^3*h^3)*b^3) + ((3*d^2*f*g*h^2*q - c*d*f*h^3*q)*a^2 - (d^2*f*g^2*h*(p + 6*q) - 2*c*d*f*g*h^2*(p + q) + c^2*f*h^3*p)*a*b - (c*d*f*g^2*h*(6*p + q) - 3*d^2*f*g^3*(p + q) - 3*c^2*f*g*h^2*p)*b^2 - 2*(2*a*b*d^2*f*g*h^2*q - a^2*d^2*f*h^3*q - (d^2*f*g^2*h*(p + q) - 2*c*d*f*g*h^2*p + c^2*f*h^3*p)*b^2)*x)/((d^2*g^4*h^2 - 2*c*d*g^3*h^3 + c^2*g^2*h^4)*a^2 - 2*(d^2*g^5*h - 2*c*d*g^4*h^2 + c^2*g^3*h^3)*a*b + (d^2*g^6 - 2*c*d*g^5*h + c^2*g^4*h^2)*b^2 + ((d^2*g^2*h^4 - 2*c*d*g*h^5 + c^2*h^6)*a^2 - 2*(d^2*g^3*h^3 - 2*c*d*g^2*h^4 + c^2*g*h^5)*a*b + (d^2*g^4*h^2 - 2*c*d*g^3*h^3 + c^2*g^2*h^4)*b^2)*x^2 + 2*((d^2*g^3*h^3 - 2*c*d*g^2*h^4 + c^2*g*h^5)*a^2 - 2*(d^2*g^4*h^2 - 2*c*d*g^3*h^3 + c^2*g^2*h^4)*a*b + (d^2*g^5*h - 2*c*d*g^4*h^2 + c^2*g^3*h^3)*b^2)*x))*r*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/(f*h) + 1/3*(2*(3*a*b^2*d^3*f^2*g^2*h*p*q - 3*a^2*b*d^3*f^2*g*h^2*p*q + a^3*d^3*f^2*h^3*p*q - (3*c*d^2*f^2*g^2*h*p*q - 3*c^2*d*f^2*g*h^2*p*q + c^3*f^2*h^3*p*q)*b^3)*(log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))/((d^3*g^3*h^3 - 3*c*d^2*g^2*h^4 + 3*c^2*d*g*h^5 - c^3*h^6)*a^3 - 3*(d^3*g^4*h^2 - 3*c*d^2*g^3*h^3 + 3*c^2*d*g^2*h^4 - c^3*g*h^5)*a^2*b + 3*(d^3*g^5*h - 3*c*d^2*g^4*h^2 + 3*c^2*d*g^3*h^3 - c^3*g^2*h^4)*a*b^2 - (d^3*g^6 - 3*c*d^2*g^5*h + 3*c^2*d*g^4*h^2 - c^3*g^3*h^3)*b^3) - 2*(3*a*b^2*d^3*f^2*g^2*h*p*q - 3*a^2*b*d^3*f^2*g*h^2*p*q + a^3*d^3*f^2*h^3*p*q + (3*c*d^2*f^2*g^2*h*p^2 - 3*c^2*d*f^2*g*h^2*p^2 + c^3*f^2*h^3*p^2 - (p^2 + p*q)*d^3*f^2*g^3)*b^3)*(log(b*x + a)*log((b*h*x + a*h)/(b*g - a*h) + 1) + dilog(-(b*h*x + a*h)/(b*g - a*h)))/((d^3*g^3*h^3 - 3*c*d^2*g^2*h^4 + 3*c^2*d*g*h^5 - c^3*h^6)*a^3 - 3*(d^3*g^4*h^2 - 3*c*d^2*g^3*h^3 + 3*c^2*d*g^2*h^4 - c^3*g*h^5)*a^2*b + 3*(d^3*g^5*h - 3*c*d^2*g^4*h^2 + 3*c^2*d*g^3*h^3 - c^3*g^2*h^4)*a*b^2 - (d^3*g^6 - 3*c*d^2*g^5*h + 3*c^2*d*g^4*h^2 - c^3*g^3*h^3)*b^3) - 2*(3*a*b^2*d^3*f^2*g^2*h*q^2 - 3*a^2*b*d^3*f^2*g*h^2*q^2 + a^3*d^3*f^2*h^3*q^2 + (3*c*d^2*f^2*g^2*h*p*q - 3*c^2*d*f^2*g*h^2*p*q + c^3*f^2*h^3*p*q - (p*q + q^2)*d^3*f^2*g^3)*b^3)*(log(d*x + c)*log((d*h*x + c*h)/(d*g - c*h) + 1) + dilog(-(d*h*x + c*h)/(d*g - c*h)))/((d^3*g^3*h^3 - 3*c*d^2*g^2*h^4 + 3*c^2*d*g*h^5 - c^3*h^6)*a^3 - 3*(d^3*g^4*h^2 - 3*c*d^2*g^3*h^3 + 3*c^2*d*g^2*h^4 - c^3*g*h^5)*a^2*b + 3*(d^3*g^5*h - 3*c*d^2*g^4*h^2 + 3*c^2*d*g^3*h^3 - c^3*g^2*h^4)*a*b^2 - (d^3*g^6 - 3*c*d^2*g^5*h + 3*c^2*d*g^4*h^2 - c^3*g^3*h^3)*b^3) - (3*a^2*d^3*f^2*h^2*q^2 + (c*d^2*f^2*h^2*p*q - (p*q + 6*q^2)*d^3*f^2*g*h)*a*b - (5*c*d^2*f^2*g*h*p*q - 2*c^2*d*f^2*h^2*p*q - 3*(p*q + q^2)*d^3*f^2*g^2)*b^2)*log(d*x + c)/((d^3*g^3*h^2 - 3*c*d^2*g^2*h^3 + 3*c^2*d*g*h^4 - c^3*h^5)*a^2 - 2*(d^3*g^4*h - 3*c*d^2*g^3*h^2 + 3*c^2*d*g^2*h^3 - c^3*g*h^4)*a*b + (d^3*g^5 - 3*c*d^2*g^4*h + 3*c^2*d*g^3*h^2 - c^3*g^2*h^3)*b^2) + 3*(a^3*d^3*f^2*h^3*q^2 + (c*d^2*f^2*h^3*p*q - (p*q + 3*q^2)*d^3*f^2*g*h^2)*a^2*b - (4*c*d^2*f^2*g*h^2*p*q - c^2*d*f^2*h^3*p*q - 3*(p*q + q^2)*d^3*f^2*g^2*h)*a*b^2 + (c^3*f^2*h^3*p^2 - (p^2 + 2*p*q + q^2)*d^3*f^2*g^3 + 3*(p^2 + p*q)*c*d^2*f^2*g^2*h - (3*p^2 + p*q)*c^2*d*f^2*g*h^2)*b^3)*log(h*x + g)/((d^3*g^3*h^3 - 3*c*d^2*g^2*h^4 + 3*c^2*d*g*h^5 - c^3*h^6)*a^3 - 3*(d^3*g^4*h^2 - 3*c*d^2*g^3*h^3 + 3*c^2*d*g^2*h^4 - c^3*g*h^5)*a^2*b + 3*(d^3*g^5*h - 3*c*d^2*g^4*h^2 + 3*c^2*d*g^3*h^3 - c^3*g^2*h^4)*a*b^2 - (d^3*g^6 - 3*c*d^2*g^5*h + 3*c^2*d*g^4*h^2 - c^3*g^3*h^3)*b^3) - ((d^3*f^2*g*h^3*q^2 - c*d^2*f^2*h^4*q^2)*a^3 - (2*c^2*d*f^2*h^4*p*q + (2*p*q + 3*q^2)*d^3*f^2*g^2*h^2 - (4*p*q + 3*q^2)*c*d^2*f^2*g*h^3)*a^2*b - (c^3*f^2*h^4*p^2 - (p^2 + 4*p*q + 3*q^2)*d^3*f^2*g^3*h + (3*p^2 + 8*p*q + 3*q^2)*c*d^2*f^2*g^2*h^2 - (3*p^2 + 4*p*q)*c^2*d*f^2*g*h^3)*a*b^2 + (c^3*f^2*g*h^3*p^2 - (p^2 + 2*p*q + q^2)*d^3*f^2*g^4 + (3*p^2 + 4*p*q + q^2)*c*d^2*f^2*g^3*h - (3*p^2 + 2*p*q)*c^2*d*f^2*g^2*h^2)*b^3 - ((d^3*f^2*g^3*h*p^2 - 3*c*d^2*f^2*g^2*h^2*p^2 + 3*c^2*d*f^2*g*h^3*p^2 - c^3*f^2*h^4*p^2)*b^3*x + (d^3*f^2*g^4*p^2 - 3*c*d^2*f^2*g^3*h*p^2 + 3*c^2*d*f^2*g^2*h^2*p^2 - c^3*f^2*g*h^3*p^2)*b^3)*log(b*x + a)^2 - 2*(b^3*d^3*f^2*g^4*p*q - 3*a*b^2*d^3*f^2*g^3*h*p*q + 3*a^2*b*d^3*f^2*g^2*h^2*p*q - a^3*d^3*f^2*g*h^3*p*q + (b^3*d^3*f^2*g^3*h*p*q - 3*a*b^2*d^3*f^2*g^2*h^2*p*q + 3*a^2*b*d^3*f^2*g*h^3*p*q - a^3*d^3*f^2*h^4*p*q)*x)*log(b*x + a)*log(d*x + c) - (b^3*d^3*f^2*g^4*q^2 - 3*a*b^2*d^3*f^2*g^3*h*q^2 + 3*a^2*b*d^3*f^2*g^2*h^2*q^2 - a^3*d^3*f^2*g*h^3*q^2 + (b^3*d^3*f^2*g^3*h*q^2 - 3*a*b^2*d^3*f^2*g^2*h^2*q^2 + 3*a^2*b*d^3*f^2*g*h^3*q^2 - a^3*d^3*f^2*h^4*q^2)*x)*log(d*x + c)^2 - (2*(d^3*f^2*g^2*h^2*p*q - c*d^2*f^2*g*h^3*p*q)*a^2*b - (5*d^3*f^2*g^3*h*p*q - 6*c*d^2*f^2*g^2*h^2*p*q + c^2*d*f^2*g*h^3*p*q)*a*b^2 - (3*c^3*f^2*g*h^3*p^2 - 3*(p^2 + p*q)*d^3*f^2*g^4 + (9*p^2 + 4*p*q)*c*d^2*f^2*g^3*h - (9*p^2 + p*q)*c^2*d*f^2*g^2*h^2)*b^3 + (2*(d^3*f^2*g*h^3*p*q - c*d^2*f^2*h^4*p*q)*a^2*b - (5*d^3*f^2*g^2*h^2*p*q - 6*c*d^2*f^2*g*h^3*p*q + c^2*d*f^2*h^4*p*q)*a*b^2 - (3*c^3*f^2*h^4*p^2 - 3*(p^2 + p*q)*d^3*f^2*g^3*h + (9*p^2 + 4*p*q)*c*d^2*f^2*g^2*h^2 - (9*p^2 + p*q)*c^2*d*f^2*g*h^3)*b^3)*x)*log(b*x + a) - 2*((3*a*b^2*d^3*f^2*g^3*h*p*q - 3*a^2*b*d^3*f^2*g^2*h^2*p*q + a^3*d^3*f^2*g*h^3*p*q + (3*c*d^2*f^2*g^3*h*p^2 - 3*c^2*d*f^2*g^2*h^2*p^2 + c^3*f^2*g*h^3*p^2 - (p^2 + p*q)*d^3*f^2*g^4)*b^3 + (3*a*b^2*d^3*f^2*g^2*h^2*p*q - 3*a^2*b*d^3*f^2*g*h^3*p*q + a^3*d^3*f^2*h^4*p*q + (3*c*d^2*f^2*g^2*h^2*p^2 - 3*c^2*d*f^2*g*h^3*p^2 + c^3*f^2*h^4*p^2 - (p^2 + p*q)*d^3*f^2*g^3*h)*b^3)*x)*log(b*x + a) + (3*a*b^2*d^3*f^2*g^3*h*q^2 - 3*a^2*b*d^3*f^2*g^2*h^2*q^2 + a^3*d^3*f^2*g*h^3*q^2 + (3*c*d^2*f^2*g^3*h*p*q - 3*c^2*d*f^2*g^2*h^2*p*q + c^3*f^2*g*h^3*p*q - (p*q + q^2)*d^3*f^2*g^4)*b^3 + (3*a*b^2*d^3*f^2*g^2*h^2*q^2 - 3*a^2*b*d^3*f^2*g*h^3*q^2 + a^3*d^3*f^2*h^4*q^2 + (3*c*d^2*f^2*g^2*h^2*p*q - 3*c^2*d*f^2*g*h^3*p*q + c^3*f^2*h^4*p*q - (p*q + q^2)*d^3*f^2*g^3*h)*b^3)*x)*log(d*x + c))*log(h*x + g))/((d^3*g^4*h^3 - 3*c*d^2*g^3*h^4 + 3*c^2*d*g^2*h^5 - c^3*g*h^6)*a^3 - 3*(d^3*g^5*h^2 - 3*c*d^2*g^4*h^3 + 3*c^2*d*g^3*h^4 - c^3*g^2*h^5)*a^2*b + 3*(d^3*g^6*h - 3*c*d^2*g^5*h^2 + 3*c^2*d*g^4*h^3 - c^3*g^3*h^4)*a*b^2 - (d^3*g^7 - 3*c*d^2*g^6*h + 3*c^2*d*g^5*h^2 - c^3*g^4*h^3)*b^3 + ((d^3*g^3*h^4 - 3*c*d^2*g^2*h^5 + 3*c^2*d*g*h^6 - c^3*h^7)*a^3 - 3*(d^3*g^4*h^3 - 3*c*d^2*g^3*h^4 + 3*c^2*d*g^2*h^5 - c^3*g*h^6)*a^2*b + 3*(d^3*g^5*h^2 - 3*c*d^2*g^4*h^3 + 3*c^2*d*g^3*h^4 - c^3*g^2*h^5)*a*b^2 - (d^3*g^6*h - 3*c*d^2*g^5*h^2 + 3*c^2*d*g^4*h^3 - c^3*g^3*h^4)*b^3)*x))*r^2/(f^2*h) - 1/3*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)^2/((h*x + g)^3*h)","B",0
43,0,0,0,0.000000," ","integrate((a+b*log((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-c^2*x^2+1),x, algorithm=""maxima"")","-\int \frac{{\left(b \log\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{n}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"-integrate((b*log(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^n/(c^2*x^2 - 1), x)","F",0
44,1,526,0,1.528978," ","integrate((a+b*log((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^3/(-c^2*x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, b^{3} {\left(\frac{\log\left(c x + 1\right)}{c} - \frac{\log\left(c x - 1\right)}{c}\right)} \log\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{3} + \frac{3}{2} \, a b^{2} {\left(\frac{\log\left(c x + 1\right)}{c} - \frac{\log\left(c x - 1\right)}{c}\right)} \log\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{2} + \frac{3}{2} \, a^{2} b {\left(\frac{\log\left(c x + 1\right)}{c} - \frac{\log\left(c x - 1\right)}{c}\right)} \log\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + \frac{1}{64} \, {\left(\frac{24 \, {\left(\log\left(c x + 1\right)^{2} - 2 \, \log\left(c x + 1\right) \log\left(c x - 1\right) + \log\left(c x - 1\right)^{2}\right)} \log\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{2}}{c} + \frac{8 \, {\left(\log\left(c x + 1\right)^{3} - 3 \, \log\left(c x + 1\right)^{2} \log\left(c x - 1\right) + 3 \, \log\left(c x + 1\right) \log\left(c x - 1\right)^{2} - \log\left(c x - 1\right)^{3}\right)} \log\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)}{c} + \frac{\log\left(c x + 1\right)^{4} - 4 \, \log\left(c x + 1\right)^{3} \log\left(c x - 1\right) + 6 \, \log\left(c x + 1\right)^{2} \log\left(c x - 1\right)^{2} - 4 \, \log\left(c x + 1\right) \log\left(c x - 1\right)^{3} + \log\left(c x - 1\right)^{4}}{c}\right)} b^{3} + \frac{1}{8} \, a b^{2} {\left(\frac{6 \, {\left(\log\left(c x + 1\right)^{2} - 2 \, \log\left(c x + 1\right) \log\left(c x - 1\right) + \log\left(c x - 1\right)^{2}\right)} \log\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)}{c} + \frac{\log\left(c x + 1\right)^{3} - 3 \, \log\left(c x + 1\right)^{2} \log\left(c x - 1\right) + 3 \, \log\left(c x + 1\right) \log\left(c x - 1\right)^{2} - \log\left(c x - 1\right)^{3}}{c}\right)} + \frac{1}{2} \, a^{3} {\left(\frac{\log\left(c x + 1\right)}{c} - \frac{\log\left(c x - 1\right)}{c}\right)} + \frac{3 \, {\left(\log\left(c x + 1\right)^{2} - 2 \, \log\left(c x + 1\right) \log\left(c x - 1\right) + \log\left(c x - 1\right)^{2}\right)} a^{2} b}{8 \, c}"," ",0,"1/2*b^3*(log(c*x + 1)/c - log(c*x - 1)/c)*log(sqrt(-c*x + 1)/sqrt(c*x + 1))^3 + 3/2*a*b^2*(log(c*x + 1)/c - log(c*x - 1)/c)*log(sqrt(-c*x + 1)/sqrt(c*x + 1))^2 + 3/2*a^2*b*(log(c*x + 1)/c - log(c*x - 1)/c)*log(sqrt(-c*x + 1)/sqrt(c*x + 1)) + 1/64*(24*(log(c*x + 1)^2 - 2*log(c*x + 1)*log(c*x - 1) + log(c*x - 1)^2)*log(sqrt(-c*x + 1)/sqrt(c*x + 1))^2/c + 8*(log(c*x + 1)^3 - 3*log(c*x + 1)^2*log(c*x - 1) + 3*log(c*x + 1)*log(c*x - 1)^2 - log(c*x - 1)^3)*log(sqrt(-c*x + 1)/sqrt(c*x + 1))/c + (log(c*x + 1)^4 - 4*log(c*x + 1)^3*log(c*x - 1) + 6*log(c*x + 1)^2*log(c*x - 1)^2 - 4*log(c*x + 1)*log(c*x - 1)^3 + log(c*x - 1)^4)/c)*b^3 + 1/8*a*b^2*(6*(log(c*x + 1)^2 - 2*log(c*x + 1)*log(c*x - 1) + log(c*x - 1)^2)*log(sqrt(-c*x + 1)/sqrt(c*x + 1))/c + (log(c*x + 1)^3 - 3*log(c*x + 1)^2*log(c*x - 1) + 3*log(c*x + 1)*log(c*x - 1)^2 - log(c*x - 1)^3)/c) + 1/2*a^3*(log(c*x + 1)/c - log(c*x - 1)/c) + 3/8*(log(c*x + 1)^2 - 2*log(c*x + 1)*log(c*x - 1) + log(c*x - 1)^2)*a^2*b/c","B",0
45,1,268,0,1.249894," ","integrate((a+b*log((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2/(-c^2*x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} {\left(\frac{\log\left(c x + 1\right)}{c} - \frac{\log\left(c x - 1\right)}{c}\right)} \log\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{2} + a b {\left(\frac{\log\left(c x + 1\right)}{c} - \frac{\log\left(c x - 1\right)}{c}\right)} \log\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + \frac{1}{24} \, b^{2} {\left(\frac{6 \, {\left(\log\left(c x + 1\right)^{2} - 2 \, \log\left(c x + 1\right) \log\left(c x - 1\right) + \log\left(c x - 1\right)^{2}\right)} \log\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)}{c} + \frac{\log\left(c x + 1\right)^{3} - 3 \, \log\left(c x + 1\right)^{2} \log\left(c x - 1\right) + 3 \, \log\left(c x + 1\right) \log\left(c x - 1\right)^{2} - \log\left(c x - 1\right)^{3}}{c}\right)} + \frac{1}{2} \, a^{2} {\left(\frac{\log\left(c x + 1\right)}{c} - \frac{\log\left(c x - 1\right)}{c}\right)} + \frac{{\left(\log\left(c x + 1\right)^{2} - 2 \, \log\left(c x + 1\right) \log\left(c x - 1\right) + \log\left(c x - 1\right)^{2}\right)} a b}{4 \, c}"," ",0,"1/2*b^2*(log(c*x + 1)/c - log(c*x - 1)/c)*log(sqrt(-c*x + 1)/sqrt(c*x + 1))^2 + a*b*(log(c*x + 1)/c - log(c*x - 1)/c)*log(sqrt(-c*x + 1)/sqrt(c*x + 1)) + 1/24*b^2*(6*(log(c*x + 1)^2 - 2*log(c*x + 1)*log(c*x - 1) + log(c*x - 1)^2)*log(sqrt(-c*x + 1)/sqrt(c*x + 1))/c + (log(c*x + 1)^3 - 3*log(c*x + 1)^2*log(c*x - 1) + 3*log(c*x + 1)*log(c*x - 1)^2 - log(c*x - 1)^3)/c) + 1/2*a^2*(log(c*x + 1)/c - log(c*x - 1)/c) + 1/4*(log(c*x + 1)^2 - 2*log(c*x + 1)*log(c*x - 1) + log(c*x - 1)^2)*a*b/c","B",0
46,1,105,0,1.017947," ","integrate((a+b*log((-c*x+1)^(1/2)/(c*x+1)^(1/2)))/(-c^2*x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, b {\left(\frac{\log\left(c x + 1\right)}{c} - \frac{\log\left(c x - 1\right)}{c}\right)} \log\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + \frac{1}{2} \, a {\left(\frac{\log\left(c x + 1\right)}{c} - \frac{\log\left(c x - 1\right)}{c}\right)} + \frac{{\left(\log\left(c x + 1\right)^{2} - 2 \, \log\left(c x + 1\right) \log\left(c x - 1\right) + \log\left(c x - 1\right)^{2}\right)} b}{8 \, c}"," ",0,"1/2*b*(log(c*x + 1)/c - log(c*x - 1)/c)*log(sqrt(-c*x + 1)/sqrt(c*x + 1)) + 1/2*a*(log(c*x + 1)/c - log(c*x - 1)/c) + 1/8*(log(c*x + 1)^2 - 2*log(c*x + 1)*log(c*x - 1) + log(c*x - 1)^2)*b/c","B",0
47,1,36,0,1.757824," ","integrate(1/(-c^2*x^2+1)/(a+b*log((-c*x+1)^(1/2)/(c*x+1)^(1/2))),x, algorithm=""maxima"")","-\frac{\log\left(-\frac{b \log\left(c x + 1\right) - b \log\left(-c x + 1\right) - 2 \, a}{2 \, b}\right)}{b c}"," ",0,"-log(-1/2*(b*log(c*x + 1) - b*log(-c*x + 1) - 2*a)/b)/(b*c)","A",0
48,1,34,0,1.842565," ","integrate(1/(-c^2*x^2+1)/(a+b*log((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2,x, algorithm=""maxima"")","-\frac{2}{b^{2} c \log\left(c x + 1\right) - b^{2} c \log\left(-c x + 1\right) - 2 \, a b c}"," ",0,"-2/(b^2*c*log(c*x + 1) - b^2*c*log(-c*x + 1) - 2*a*b*c)","A",0
49,1,80,0,2.163526," ","integrate(1/(-c^2*x^2+1)/(a+b*log((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^3,x, algorithm=""maxima"")","\frac{2}{b^{3} c \log\left(c x + 1\right)^{2} + b^{3} c \log\left(-c x + 1\right)^{2} - 4 \, a b^{2} c \log\left(c x + 1\right) + 4 \, a^{2} b c - 2 \, {\left(b^{3} c \log\left(c x + 1\right) - 2 \, a b^{2} c\right)} \log\left(-c x + 1\right)}"," ",0,"2/(b^3*c*log(c*x + 1)^2 + b^3*c*log(-c*x + 1)^2 - 4*a*b^2*c*log(c*x + 1) + 4*a^2*b*c - 2*(b^3*c*log(c*x + 1) - 2*a*b^2*c)*log(-c*x + 1))","B",0
50,1,83,0,2.531321," ","integrate(log((-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{\log\left(a x + 1\right)}{a} - \frac{\log\left(a x - 1\right)}{a}\right)} \log\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right) + \frac{\log\left(a x - 1\right)^{2}}{8 \, a} + \frac{\log\left(a x + 1\right)^{2} - 2 \, \log\left(a x + 1\right) \log\left(a x - 1\right)}{8 \, a}"," ",0,"1/2*(log(a*x + 1)/a - log(a*x - 1)/a)*log(sqrt(-a*x + 1)/sqrt(a*x + 1)) + 1/8*log(a*x - 1)^2/a + 1/8*(log(a*x + 1)^2 - 2*log(a*x + 1)*log(a*x - 1))/a","B",0
51,0,0,0,0.000000," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)*(s+t*log(i*(h*x+g)^n))^2/(h*k*x+g*k),x, algorithm=""maxima"")","\frac{{\left(n^{2} t^{2} \log\left(h x + g\right)^{3} + 3 \, t^{2} \log\left(h x + g\right) \log\left({\left(h x + g\right)}^{n}\right)^{2} - 3 \, {\left(n t^{2} \log\left(i\right) + n s t\right)} \log\left(h x + g\right)^{2} + 3 \, {\left(t^{2} \log\left(i\right)^{2} + 2 \, s t \log\left(i\right) + s^{2}\right)} \log\left(h x + g\right) - 3 \, {\left(n t^{2} \log\left(h x + g\right)^{2} - 2 \, {\left(t^{2} \log\left(i\right) + s t\right)} \log\left(h x + g\right)\right)} \log\left({\left(h x + g\right)}^{n}\right)\right)} \log\left({\left({\left(b x + a\right)}^{p}\right)}^{r}\right) + {\left(n^{2} t^{2} \log\left(h x + g\right)^{3} + 3 \, t^{2} \log\left(h x + g\right) \log\left({\left(h x + g\right)}^{n}\right)^{2} - 3 \, {\left(n t^{2} \log\left(i\right) + n s t\right)} \log\left(h x + g\right)^{2} + 3 \, {\left(t^{2} \log\left(i\right)^{2} + 2 \, s t \log\left(i\right) + s^{2}\right)} \log\left(h x + g\right) - 3 \, {\left(n t^{2} \log\left(h x + g\right)^{2} - 2 \, {\left(t^{2} \log\left(i\right) + s t\right)} \log\left(h x + g\right)\right)} \log\left({\left(h x + g\right)}^{n}\right)\right)} \log\left({\left({\left(d x + c\right)}^{q}\right)}^{r}\right)}{3 \, h k} - \int -\frac{3 \, {\left({\left(t^{2} \log\left(i\right)^{2} + 2 \, s t \log\left(i\right) + s^{2}\right)} h \log\left(e\right) + {\left(r t^{2} \log\left(i\right)^{2} + 2 \, r s t \log\left(i\right) + r s^{2}\right)} h \log\left(f\right)\right)} b d x^{2} - {\left({\left(p r + q r\right)} b d h n^{2} t^{2} x^{2} + b c g n^{2} p r t^{2} + a d g n^{2} q r t^{2} + {\left(a d h n^{2} q r t^{2} + {\left(c h n^{2} p r t^{2} + {\left(p r + q r\right)} d g n^{2} t^{2}\right)} b\right)} x\right)} \log\left(h x + g\right)^{3} + 3 \, {\left({\left(t^{2} \log\left(i\right)^{2} + 2 \, s t \log\left(i\right) + s^{2}\right)} h \log\left(e\right) + {\left(r t^{2} \log\left(i\right)^{2} + 2 \, r s t \log\left(i\right) + r s^{2}\right)} h \log\left(f\right)\right)} a c + 3 \, {\left({\left({\left(p r + q r\right)} n t^{2} \log\left(i\right) + {\left(p r s + q r s\right)} n t\right)} b d h x^{2} + {\left(n p r t^{2} \log\left(i\right) + n p r s t\right)} b c g + {\left(n q r t^{2} \log\left(i\right) + n q r s t\right)} a d g + {\left({\left(n q r t^{2} \log\left(i\right) + n q r s t\right)} a d h + {\left({\left({\left(p r + q r\right)} n t^{2} \log\left(i\right) + {\left(p r s + q r s\right)} n t\right)} d g + {\left(n p r t^{2} \log\left(i\right) + n p r s t\right)} c h\right)} b\right)} x\right)} \log\left(h x + g\right)^{2} + 3 \, {\left({\left(h r t^{2} \log\left(f\right) + h t^{2} \log\left(e\right)\right)} b d x^{2} + {\left(h r t^{2} \log\left(f\right) + h t^{2} \log\left(e\right)\right)} a c + {\left({\left(h r t^{2} \log\left(f\right) + h t^{2} \log\left(e\right)\right)} b c + {\left(h r t^{2} \log\left(f\right) + h t^{2} \log\left(e\right)\right)} a d\right)} x - {\left({\left(p r + q r\right)} b d h t^{2} x^{2} + b c g p r t^{2} + a d g q r t^{2} + {\left(a d h q r t^{2} + {\left(c h p r t^{2} + {\left(p r + q r\right)} d g t^{2}\right)} b\right)} x\right)} \log\left(h x + g\right)\right)} \log\left({\left(h x + g\right)}^{n}\right)^{2} + 3 \, {\left({\left({\left(t^{2} \log\left(i\right)^{2} + 2 \, s t \log\left(i\right) + s^{2}\right)} h \log\left(e\right) + {\left(r t^{2} \log\left(i\right)^{2} + 2 \, r s t \log\left(i\right) + r s^{2}\right)} h \log\left(f\right)\right)} b c + {\left({\left(t^{2} \log\left(i\right)^{2} + 2 \, s t \log\left(i\right) + s^{2}\right)} h \log\left(e\right) + {\left(r t^{2} \log\left(i\right)^{2} + 2 \, r s t \log\left(i\right) + r s^{2}\right)} h \log\left(f\right)\right)} a d\right)} x - 3 \, {\left({\left({\left(p r + q r\right)} t^{2} \log\left(i\right)^{2} + p r s^{2} + q r s^{2} + 2 \, {\left(p r s + q r s\right)} t \log\left(i\right)\right)} b d h x^{2} + {\left(p r t^{2} \log\left(i\right)^{2} + 2 \, p r s t \log\left(i\right) + p r s^{2}\right)} b c g + {\left(q r t^{2} \log\left(i\right)^{2} + 2 \, q r s t \log\left(i\right) + q r s^{2}\right)} a d g + {\left({\left(q r t^{2} \log\left(i\right)^{2} + 2 \, q r s t \log\left(i\right) + q r s^{2}\right)} a d h + {\left({\left({\left(p r + q r\right)} t^{2} \log\left(i\right)^{2} + p r s^{2} + q r s^{2} + 2 \, {\left(p r s + q r s\right)} t \log\left(i\right)\right)} d g + {\left(p r t^{2} \log\left(i\right)^{2} + 2 \, p r s t \log\left(i\right) + p r s^{2}\right)} c h\right)} b\right)} x\right)} \log\left(h x + g\right) + 3 \, {\left(2 \, {\left({\left(t^{2} \log\left(i\right) + s t\right)} h \log\left(e\right) + {\left(r t^{2} \log\left(i\right) + r s t\right)} h \log\left(f\right)\right)} b d x^{2} + 2 \, {\left({\left(t^{2} \log\left(i\right) + s t\right)} h \log\left(e\right) + {\left(r t^{2} \log\left(i\right) + r s t\right)} h \log\left(f\right)\right)} a c + {\left({\left(p r + q r\right)} b d h n t^{2} x^{2} + b c g n p r t^{2} + a d g n q r t^{2} + {\left(a d h n q r t^{2} + {\left(c h n p r t^{2} + {\left(p r + q r\right)} d g n t^{2}\right)} b\right)} x\right)} \log\left(h x + g\right)^{2} + 2 \, {\left({\left({\left(t^{2} \log\left(i\right) + s t\right)} h \log\left(e\right) + {\left(r t^{2} \log\left(i\right) + r s t\right)} h \log\left(f\right)\right)} b c + {\left({\left(t^{2} \log\left(i\right) + s t\right)} h \log\left(e\right) + {\left(r t^{2} \log\left(i\right) + r s t\right)} h \log\left(f\right)\right)} a d\right)} x - 2 \, {\left({\left({\left(p r + q r\right)} t^{2} \log\left(i\right) + {\left(p r s + q r s\right)} t\right)} b d h x^{2} + {\left(p r t^{2} \log\left(i\right) + p r s t\right)} b c g + {\left(q r t^{2} \log\left(i\right) + q r s t\right)} a d g + {\left({\left(q r t^{2} \log\left(i\right) + q r s t\right)} a d h + {\left({\left({\left(p r + q r\right)} t^{2} \log\left(i\right) + {\left(p r s + q r s\right)} t\right)} d g + {\left(p r t^{2} \log\left(i\right) + p r s t\right)} c h\right)} b\right)} x\right)} \log\left(h x + g\right)\right)} \log\left({\left(h x + g\right)}^{n}\right)}{3 \, {\left(b d h^{2} k x^{3} + a c g h k + {\left(a d h^{2} k + {\left(d g h k + c h^{2} k\right)} b\right)} x^{2} + {\left(b c g h k + {\left(d g h k + c h^{2} k\right)} a\right)} x\right)}}\,{d x}"," ",0,"1/3*((n^2*t^2*log(h*x + g)^3 + 3*t^2*log(h*x + g)*log((h*x + g)^n)^2 - 3*(n*t^2*log(i) + n*s*t)*log(h*x + g)^2 + 3*(t^2*log(i)^2 + 2*s*t*log(i) + s^2)*log(h*x + g) - 3*(n*t^2*log(h*x + g)^2 - 2*(t^2*log(i) + s*t)*log(h*x + g))*log((h*x + g)^n))*log(((b*x + a)^p)^r) + (n^2*t^2*log(h*x + g)^3 + 3*t^2*log(h*x + g)*log((h*x + g)^n)^2 - 3*(n*t^2*log(i) + n*s*t)*log(h*x + g)^2 + 3*(t^2*log(i)^2 + 2*s*t*log(i) + s^2)*log(h*x + g) - 3*(n*t^2*log(h*x + g)^2 - 2*(t^2*log(i) + s*t)*log(h*x + g))*log((h*x + g)^n))*log(((d*x + c)^q)^r))/(h*k) - integrate(-1/3*(3*((t^2*log(i)^2 + 2*s*t*log(i) + s^2)*h*log(e) + (r*t^2*log(i)^2 + 2*r*s*t*log(i) + r*s^2)*h*log(f))*b*d*x^2 - ((p*r + q*r)*b*d*h*n^2*t^2*x^2 + b*c*g*n^2*p*r*t^2 + a*d*g*n^2*q*r*t^2 + (a*d*h*n^2*q*r*t^2 + (c*h*n^2*p*r*t^2 + (p*r + q*r)*d*g*n^2*t^2)*b)*x)*log(h*x + g)^3 + 3*((t^2*log(i)^2 + 2*s*t*log(i) + s^2)*h*log(e) + (r*t^2*log(i)^2 + 2*r*s*t*log(i) + r*s^2)*h*log(f))*a*c + 3*(((p*r + q*r)*n*t^2*log(i) + (p*r*s + q*r*s)*n*t)*b*d*h*x^2 + (n*p*r*t^2*log(i) + n*p*r*s*t)*b*c*g + (n*q*r*t^2*log(i) + n*q*r*s*t)*a*d*g + ((n*q*r*t^2*log(i) + n*q*r*s*t)*a*d*h + (((p*r + q*r)*n*t^2*log(i) + (p*r*s + q*r*s)*n*t)*d*g + (n*p*r*t^2*log(i) + n*p*r*s*t)*c*h)*b)*x)*log(h*x + g)^2 + 3*((h*r*t^2*log(f) + h*t^2*log(e))*b*d*x^2 + (h*r*t^2*log(f) + h*t^2*log(e))*a*c + ((h*r*t^2*log(f) + h*t^2*log(e))*b*c + (h*r*t^2*log(f) + h*t^2*log(e))*a*d)*x - ((p*r + q*r)*b*d*h*t^2*x^2 + b*c*g*p*r*t^2 + a*d*g*q*r*t^2 + (a*d*h*q*r*t^2 + (c*h*p*r*t^2 + (p*r + q*r)*d*g*t^2)*b)*x)*log(h*x + g))*log((h*x + g)^n)^2 + 3*(((t^2*log(i)^2 + 2*s*t*log(i) + s^2)*h*log(e) + (r*t^2*log(i)^2 + 2*r*s*t*log(i) + r*s^2)*h*log(f))*b*c + ((t^2*log(i)^2 + 2*s*t*log(i) + s^2)*h*log(e) + (r*t^2*log(i)^2 + 2*r*s*t*log(i) + r*s^2)*h*log(f))*a*d)*x - 3*(((p*r + q*r)*t^2*log(i)^2 + p*r*s^2 + q*r*s^2 + 2*(p*r*s + q*r*s)*t*log(i))*b*d*h*x^2 + (p*r*t^2*log(i)^2 + 2*p*r*s*t*log(i) + p*r*s^2)*b*c*g + (q*r*t^2*log(i)^2 + 2*q*r*s*t*log(i) + q*r*s^2)*a*d*g + ((q*r*t^2*log(i)^2 + 2*q*r*s*t*log(i) + q*r*s^2)*a*d*h + (((p*r + q*r)*t^2*log(i)^2 + p*r*s^2 + q*r*s^2 + 2*(p*r*s + q*r*s)*t*log(i))*d*g + (p*r*t^2*log(i)^2 + 2*p*r*s*t*log(i) + p*r*s^2)*c*h)*b)*x)*log(h*x + g) + 3*(2*((t^2*log(i) + s*t)*h*log(e) + (r*t^2*log(i) + r*s*t)*h*log(f))*b*d*x^2 + 2*((t^2*log(i) + s*t)*h*log(e) + (r*t^2*log(i) + r*s*t)*h*log(f))*a*c + ((p*r + q*r)*b*d*h*n*t^2*x^2 + b*c*g*n*p*r*t^2 + a*d*g*n*q*r*t^2 + (a*d*h*n*q*r*t^2 + (c*h*n*p*r*t^2 + (p*r + q*r)*d*g*n*t^2)*b)*x)*log(h*x + g)^2 + 2*(((t^2*log(i) + s*t)*h*log(e) + (r*t^2*log(i) + r*s*t)*h*log(f))*b*c + ((t^2*log(i) + s*t)*h*log(e) + (r*t^2*log(i) + r*s*t)*h*log(f))*a*d)*x - 2*(((p*r + q*r)*t^2*log(i) + (p*r*s + q*r*s)*t)*b*d*h*x^2 + (p*r*t^2*log(i) + p*r*s*t)*b*c*g + (q*r*t^2*log(i) + q*r*s*t)*a*d*g + ((q*r*t^2*log(i) + q*r*s*t)*a*d*h + (((p*r + q*r)*t^2*log(i) + (p*r*s + q*r*s)*t)*d*g + (p*r*t^2*log(i) + p*r*s*t)*c*h)*b)*x)*log(h*x + g))*log((h*x + g)^n))/(b*d*h^2*k*x^3 + a*c*g*h*k + (a*d*h^2*k + (d*g*h*k + c*h^2*k)*b)*x^2 + (b*c*g*h*k + (d*g*h*k + c*h^2*k)*a)*x), x)","F",0
52,0,0,0,0.000000," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)*(s+t*log(i*(h*x+g)^n))/(h*k*x+g*k),x, algorithm=""maxima"")","-\frac{{\left(n t \log\left(h x + g\right)^{2} - 2 \, t \log\left(h x + g\right) \log\left({\left(h x + g\right)}^{n}\right) - 2 \, {\left(t \log\left(i\right) + s\right)} \log\left(h x + g\right)\right)} \log\left({\left({\left(b x + a\right)}^{p}\right)}^{r}\right) + {\left(n t \log\left(h x + g\right)^{2} - 2 \, t \log\left(h x + g\right) \log\left({\left(h x + g\right)}^{n}\right) - 2 \, {\left(t \log\left(i\right) + s\right)} \log\left(h x + g\right)\right)} \log\left({\left({\left(d x + c\right)}^{q}\right)}^{r}\right)}{2 \, h k} - \int -\frac{2 \, {\left({\left(t \log\left(i\right) + s\right)} h \log\left(e\right) + {\left(r t \log\left(i\right) + r s\right)} h \log\left(f\right)\right)} b d x^{2} + 2 \, {\left({\left(t \log\left(i\right) + s\right)} h \log\left(e\right) + {\left(r t \log\left(i\right) + r s\right)} h \log\left(f\right)\right)} a c + {\left({\left(p r + q r\right)} b d h n t x^{2} + b c g n p r t + a d g n q r t + {\left(a d h n q r t + {\left(c h n p r t + {\left(p r + q r\right)} d g n t\right)} b\right)} x\right)} \log\left(h x + g\right)^{2} + 2 \, {\left({\left({\left(t \log\left(i\right) + s\right)} h \log\left(e\right) + {\left(r t \log\left(i\right) + r s\right)} h \log\left(f\right)\right)} b c + {\left({\left(t \log\left(i\right) + s\right)} h \log\left(e\right) + {\left(r t \log\left(i\right) + r s\right)} h \log\left(f\right)\right)} a d\right)} x - 2 \, {\left({\left(p r s + q r s + {\left(p r + q r\right)} t \log\left(i\right)\right)} b d h x^{2} + {\left(p r t \log\left(i\right) + p r s\right)} b c g + {\left(q r t \log\left(i\right) + q r s\right)} a d g + {\left({\left(q r t \log\left(i\right) + q r s\right)} a d h + {\left({\left(p r s + q r s + {\left(p r + q r\right)} t \log\left(i\right)\right)} d g + {\left(p r t \log\left(i\right) + p r s\right)} c h\right)} b\right)} x\right)} \log\left(h x + g\right) + 2 \, {\left({\left(h r t \log\left(f\right) + h t \log\left(e\right)\right)} b d x^{2} + {\left(h r t \log\left(f\right) + h t \log\left(e\right)\right)} a c + {\left({\left(h r t \log\left(f\right) + h t \log\left(e\right)\right)} b c + {\left(h r t \log\left(f\right) + h t \log\left(e\right)\right)} a d\right)} x - {\left({\left(p r + q r\right)} b d h t x^{2} + b c g p r t + a d g q r t + {\left(a d h q r t + {\left(c h p r t + {\left(p r + q r\right)} d g t\right)} b\right)} x\right)} \log\left(h x + g\right)\right)} \log\left({\left(h x + g\right)}^{n}\right)}{2 \, {\left(b d h^{2} k x^{3} + a c g h k + {\left(a d h^{2} k + {\left(d g h k + c h^{2} k\right)} b\right)} x^{2} + {\left(b c g h k + {\left(d g h k + c h^{2} k\right)} a\right)} x\right)}}\,{d x}"," ",0,"-1/2*((n*t*log(h*x + g)^2 - 2*t*log(h*x + g)*log((h*x + g)^n) - 2*(t*log(i) + s)*log(h*x + g))*log(((b*x + a)^p)^r) + (n*t*log(h*x + g)^2 - 2*t*log(h*x + g)*log((h*x + g)^n) - 2*(t*log(i) + s)*log(h*x + g))*log(((d*x + c)^q)^r))/(h*k) - integrate(-1/2*(2*((t*log(i) + s)*h*log(e) + (r*t*log(i) + r*s)*h*log(f))*b*d*x^2 + 2*((t*log(i) + s)*h*log(e) + (r*t*log(i) + r*s)*h*log(f))*a*c + ((p*r + q*r)*b*d*h*n*t*x^2 + b*c*g*n*p*r*t + a*d*g*n*q*r*t + (a*d*h*n*q*r*t + (c*h*n*p*r*t + (p*r + q*r)*d*g*n*t)*b)*x)*log(h*x + g)^2 + 2*(((t*log(i) + s)*h*log(e) + (r*t*log(i) + r*s)*h*log(f))*b*c + ((t*log(i) + s)*h*log(e) + (r*t*log(i) + r*s)*h*log(f))*a*d)*x - 2*((p*r*s + q*r*s + (p*r + q*r)*t*log(i))*b*d*h*x^2 + (p*r*t*log(i) + p*r*s)*b*c*g + (q*r*t*log(i) + q*r*s)*a*d*g + ((q*r*t*log(i) + q*r*s)*a*d*h + ((p*r*s + q*r*s + (p*r + q*r)*t*log(i))*d*g + (p*r*t*log(i) + p*r*s)*c*h)*b)*x)*log(h*x + g) + 2*((h*r*t*log(f) + h*t*log(e))*b*d*x^2 + (h*r*t*log(f) + h*t*log(e))*a*c + ((h*r*t*log(f) + h*t*log(e))*b*c + (h*r*t*log(f) + h*t*log(e))*a*d)*x - ((p*r + q*r)*b*d*h*t*x^2 + b*c*g*p*r*t + a*d*g*q*r*t + (a*d*h*q*r*t + (c*h*p*r*t + (p*r + q*r)*d*g*t)*b)*x)*log(h*x + g))*log((h*x + g)^n))/(b*d*h^2*k*x^3 + a*c*g*h*k + (a*d*h^2*k + (d*g*h*k + c*h^2*k)*b)*x^2 + (b*c*g*h*k + (d*g*h*k + c*h^2*k)*a)*x), x)","F",0
53,1,204,0,1.197167," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/(h*k*x+g*k),x, algorithm=""maxima"")","\frac{{\left(\frac{{\left(\log\left(b x + a\right) \log\left(\frac{b h x + a h}{b g - a h} + 1\right) + {\rm Li}_2\left(-\frac{b h x + a h}{b g - a h}\right)\right)} f p}{h k} + \frac{{\left(\log\left(d x + c\right) \log\left(\frac{d h x + c h}{d g - c h} + 1\right) + {\rm Li}_2\left(-\frac{d h x + c h}{d g - c h}\right)\right)} f q}{h k}\right)} r}{f} - \frac{{\left(f p \log\left(b x + a\right) + f q \log\left(d x + c\right)\right)} r \log\left(h k x + g k\right)}{f h k} + \frac{\log\left(h k x + g k\right) \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{h k}"," ",0,"((log(b*x + a)*log((b*h*x + a*h)/(b*g - a*h) + 1) + dilog(-(b*h*x + a*h)/(b*g - a*h)))*f*p/(h*k) + (log(d*x + c)*log((d*h*x + c*h)/(d*g - c*h) + 1) + dilog(-(d*h*x + c*h)/(d*g - c*h)))*f*q/(h*k))*r/f - (f*p*log(b*x + a) + f*q*log(d*x + c))*r*log(h*k*x + g*k)/(f*h*k) + log(h*k*x + g*k)*log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/(h*k)","A",0
54,0,0,0,0.000000," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/(h*k*x+g*k)/(s+t*log(i*(h*x+g)^n)),x, algorithm=""maxima"")","\int \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{{\left(h k x + g k\right)} {\left(t \log\left({\left(h x + g\right)}^{n} i\right) + s\right)}}\,{d x}"," ",0,"integrate(log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/((h*k*x + g*k)*(t*log((h*x + g)^n*i) + s)), x)","F",0
55,0,0,0,0.000000," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/(h*k*x+g*k)/(s+t*log(i*(h*x+g)^n))^2,x, algorithm=""maxima"")","-\frac{r \log\left(f\right) + \log\left({\left({\left(b x + a\right)}^{p}\right)}^{r}\right) + \log\left({\left({\left(d x + c\right)}^{q}\right)}^{r}\right) + \log\left(e\right)}{h k n t^{2} \log\left({\left(h x + g\right)}^{n}\right) + {\left(k n t^{2} \log\left(i\right) + k n s t\right)} h} + \int \frac{b c p r + a d q r + {\left(p r + q r\right)} b d x}{{\left(k n t^{2} \log\left(i\right) + k n s t\right)} b d h x^{2} + {\left(k n t^{2} \log\left(i\right) + k n s t\right)} a c h + {\left({\left(k n t^{2} \log\left(i\right) + k n s t\right)} b c h + {\left(k n t^{2} \log\left(i\right) + k n s t\right)} a d h\right)} x + {\left(b d h k n t^{2} x^{2} + a c h k n t^{2} + {\left(b c h k n t^{2} + a d h k n t^{2}\right)} x\right)} \log\left({\left(h x + g\right)}^{n}\right)}\,{d x}"," ",0,"-(r*log(f) + log(((b*x + a)^p)^r) + log(((d*x + c)^q)^r) + log(e))/(h*k*n*t^2*log((h*x + g)^n) + (k*n*t^2*log(i) + k*n*s*t)*h) + integrate((b*c*p*r + a*d*q*r + (p*r + q*r)*b*d*x)/((k*n*t^2*log(i) + k*n*s*t)*b*d*h*x^2 + (k*n*t^2*log(i) + k*n*s*t)*a*c*h + ((k*n*t^2*log(i) + k*n*s*t)*b*c*h + (k*n*t^2*log(i) + k*n*s*t)*a*d*h)*x + (b*d*h*k*n*t^2*x^2 + a*c*h*k*n*t^2 + (b*c*h*k*n*t^2 + a*d*h*k*n*t^2)*x)*log((h*x + g)^n)), x)","F",0
56,0,0,0,0.000000," ","integrate(log(i*(j*(h*x)^t)^u)^3*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/x,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(t^{3} u^{3} \log\left(x\right)^{4} - 4 \, {\left(t^{3} u^{3} \log\left(h\right) + t^{2} u^{3} \log\left(j\right) + t^{2} u^{2} \log\left(i\right)\right)} \log\left(x\right)^{3} - 4 \, \log\left(x\right) \log\left({\left(x^{t}\right)}^{u}\right)^{3} + 6 \, {\left(t^{3} u^{3} \log\left(h\right)^{2} + t u^{3} \log\left(j\right)^{2} + 2 \, t u^{2} \log\left(i\right) \log\left(j\right) + t u \log\left(i\right)^{2} + 2 \, {\left(t^{2} u^{3} \log\left(j\right) + t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)\right)} \log\left(x\right)^{2} + 6 \, {\left(t u \log\left(x\right)^{2} - 2 \, {\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(x\right)\right)} \log\left({\left(x^{t}\right)}^{u}\right)^{2} - 4 \, {\left(t^{3} u^{3} \log\left(h\right)^{3} + u^{3} \log\left(j\right)^{3} + 3 \, u^{2} \log\left(i\right) \log\left(j\right)^{2} + 3 \, u \log\left(i\right)^{2} \log\left(j\right) + 3 \, {\left(t^{2} u^{3} \log\left(j\right) + t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)^{2} + \log\left(i\right)^{3} + 3 \, {\left(t u^{3} \log\left(j\right)^{2} + 2 \, t u^{2} \log\left(i\right) \log\left(j\right) + t u \log\left(i\right)^{2}\right)} \log\left(h\right)\right)} \log\left(x\right) - 4 \, {\left(t^{2} u^{2} \log\left(x\right)^{3} - 3 \, {\left(t^{2} u^{2} \log\left(h\right) + t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(x\right)^{2} + 3 \, {\left(t^{2} u^{2} \log\left(h\right)^{2} + u^{2} \log\left(j\right)^{2} + 2 \, u \log\left(i\right) \log\left(j\right) + 2 \, {\left(t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(h\right) + \log\left(i\right)^{2}\right)} \log\left(x\right)\right)} \log\left({\left(x^{t}\right)}^{u}\right)\right)} \log\left({\left({\left(b x + a\right)}^{p}\right)}^{r}\right) - \frac{1}{4} \, {\left(t^{3} u^{3} \log\left(x\right)^{4} - 4 \, {\left(t^{3} u^{3} \log\left(h\right) + t^{2} u^{3} \log\left(j\right) + t^{2} u^{2} \log\left(i\right)\right)} \log\left(x\right)^{3} - 4 \, \log\left(x\right) \log\left({\left(x^{t}\right)}^{u}\right)^{3} + 6 \, {\left(t^{3} u^{3} \log\left(h\right)^{2} + t u^{3} \log\left(j\right)^{2} + 2 \, t u^{2} \log\left(i\right) \log\left(j\right) + t u \log\left(i\right)^{2} + 2 \, {\left(t^{2} u^{3} \log\left(j\right) + t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)\right)} \log\left(x\right)^{2} + 6 \, {\left(t u \log\left(x\right)^{2} - 2 \, {\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(x\right)\right)} \log\left({\left(x^{t}\right)}^{u}\right)^{2} - 4 \, {\left(t^{3} u^{3} \log\left(h\right)^{3} + u^{3} \log\left(j\right)^{3} + 3 \, u^{2} \log\left(i\right) \log\left(j\right)^{2} + 3 \, u \log\left(i\right)^{2} \log\left(j\right) + 3 \, {\left(t^{2} u^{3} \log\left(j\right) + t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)^{2} + \log\left(i\right)^{3} + 3 \, {\left(t u^{3} \log\left(j\right)^{2} + 2 \, t u^{2} \log\left(i\right) \log\left(j\right) + t u \log\left(i\right)^{2}\right)} \log\left(h\right)\right)} \log\left(x\right) - 4 \, {\left(t^{2} u^{2} \log\left(x\right)^{3} - 3 \, {\left(t^{2} u^{2} \log\left(h\right) + t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(x\right)^{2} + 3 \, {\left(t^{2} u^{2} \log\left(h\right)^{2} + u^{2} \log\left(j\right)^{2} + 2 \, u \log\left(i\right) \log\left(j\right) + 2 \, {\left(t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(h\right) + \log\left(i\right)^{2}\right)} \log\left(x\right)\right)} \log\left({\left(x^{t}\right)}^{u}\right)\right)} \log\left({\left({\left(d x + c\right)}^{q}\right)}^{r}\right) - \int -\frac{4 \, {\left({\left(t^{3} u^{3} \log\left(h\right)^{3} + u^{3} \log\left(j\right)^{3} + 3 \, u^{2} \log\left(i\right) \log\left(j\right)^{2} + 3 \, u \log\left(i\right)^{2} \log\left(j\right) + 3 \, {\left(t^{2} u^{3} \log\left(j\right) + t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)^{2} + \log\left(i\right)^{3} + 3 \, {\left(t u^{3} \log\left(j\right)^{2} + 2 \, t u^{2} \log\left(i\right) \log\left(j\right) + t u \log\left(i\right)^{2}\right)} \log\left(h\right)\right)} \log\left(e\right) + {\left(r t^{3} u^{3} \log\left(h\right)^{3} + r u^{3} \log\left(j\right)^{3} + 3 \, r u^{2} \log\left(i\right) \log\left(j\right)^{2} + 3 \, r u \log\left(i\right)^{2} \log\left(j\right) + r \log\left(i\right)^{3} + 3 \, {\left(r t^{2} u^{3} \log\left(j\right) + r t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)^{2} + 3 \, {\left(r t u^{3} \log\left(j\right)^{2} + 2 \, r t u^{2} \log\left(i\right) \log\left(j\right) + r t u \log\left(i\right)^{2}\right)} \log\left(h\right)\right)} \log\left(f\right)\right)} b d x^{2} + {\left({\left(p r t^{3} u^{3} + q r t^{3} u^{3}\right)} b d x^{2} + {\left(b c p r t^{3} u^{3} + a d q r t^{3} u^{3}\right)} x\right)} \log\left(x\right)^{4} + 4 \, {\left({\left(r \log\left(f\right) + \log\left(e\right)\right)} b d x^{2} + {\left(r \log\left(f\right) + \log\left(e\right)\right)} a c + {\left({\left(r \log\left(f\right) + \log\left(e\right)\right)} b c + {\left(r \log\left(f\right) + \log\left(e\right)\right)} a d\right)} x - {\left({\left(p r + q r\right)} b d x^{2} + {\left(b c p r + a d q r\right)} x\right)} \log\left(x\right)\right)} \log\left({\left(x^{t}\right)}^{u}\right)^{3} - 4 \, {\left({\left({\left(p r t^{3} u^{3} + q r t^{3} u^{3}\right)} \log\left(h\right) + {\left(p r t^{2} u^{2} + q r t^{2} u^{2}\right)} \log\left(i\right) + {\left(p r t^{2} u^{3} + q r t^{2} u^{3}\right)} \log\left(j\right)\right)} b d x^{2} + {\left({\left(p r t^{3} u^{3} \log\left(h\right) + p r t^{2} u^{3} \log\left(j\right) + p r t^{2} u^{2} \log\left(i\right)\right)} b c + {\left(q r t^{3} u^{3} \log\left(h\right) + q r t^{2} u^{3} \log\left(j\right) + q r t^{2} u^{2} \log\left(i\right)\right)} a d\right)} x\right)} \log\left(x\right)^{3} + 4 \, {\left({\left(t^{3} u^{3} \log\left(h\right)^{3} + u^{3} \log\left(j\right)^{3} + 3 \, u^{2} \log\left(i\right) \log\left(j\right)^{2} + 3 \, u \log\left(i\right)^{2} \log\left(j\right) + 3 \, {\left(t^{2} u^{3} \log\left(j\right) + t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)^{2} + \log\left(i\right)^{3} + 3 \, {\left(t u^{3} \log\left(j\right)^{2} + 2 \, t u^{2} \log\left(i\right) \log\left(j\right) + t u \log\left(i\right)^{2}\right)} \log\left(h\right)\right)} \log\left(e\right) + {\left(r t^{3} u^{3} \log\left(h\right)^{3} + r u^{3} \log\left(j\right)^{3} + 3 \, r u^{2} \log\left(i\right) \log\left(j\right)^{2} + 3 \, r u \log\left(i\right)^{2} \log\left(j\right) + r \log\left(i\right)^{3} + 3 \, {\left(r t^{2} u^{3} \log\left(j\right) + r t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)^{2} + 3 \, {\left(r t u^{3} \log\left(j\right)^{2} + 2 \, r t u^{2} \log\left(i\right) \log\left(j\right) + r t u \log\left(i\right)^{2}\right)} \log\left(h\right)\right)} \log\left(f\right)\right)} a c + 6 \, {\left({\left({\left(p r t^{3} u^{3} + q r t^{3} u^{3}\right)} \log\left(h\right)^{2} + {\left(p r t u + q r t u\right)} \log\left(i\right)^{2} + 2 \, {\left(p r t u^{2} + q r t u^{2}\right)} \log\left(i\right) \log\left(j\right) + {\left(p r t u^{3} + q r t u^{3}\right)} \log\left(j\right)^{2} + 2 \, {\left({\left(p r t^{2} u^{2} + q r t^{2} u^{2}\right)} \log\left(i\right) + {\left(p r t^{2} u^{3} + q r t^{2} u^{3}\right)} \log\left(j\right)\right)} \log\left(h\right)\right)} b d x^{2} + {\left({\left(p r t^{3} u^{3} \log\left(h\right)^{2} + p r t u^{3} \log\left(j\right)^{2} + 2 \, p r t u^{2} \log\left(i\right) \log\left(j\right) + p r t u \log\left(i\right)^{2} + 2 \, {\left(p r t^{2} u^{3} \log\left(j\right) + p r t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)\right)} b c + {\left(q r t^{3} u^{3} \log\left(h\right)^{2} + q r t u^{3} \log\left(j\right)^{2} + 2 \, q r t u^{2} \log\left(i\right) \log\left(j\right) + q r t u \log\left(i\right)^{2} + 2 \, {\left(q r t^{2} u^{3} \log\left(j\right) + q r t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)\right)} a d\right)} x\right)} \log\left(x\right)^{2} + 6 \, {\left(2 \, {\left({\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(e\right) + {\left(r t u \log\left(h\right) + r u \log\left(j\right) + r \log\left(i\right)\right)} \log\left(f\right)\right)} b d x^{2} + 2 \, {\left({\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(e\right) + {\left(r t u \log\left(h\right) + r u \log\left(j\right) + r \log\left(i\right)\right)} \log\left(f\right)\right)} a c + {\left({\left(p r t u + q r t u\right)} b d x^{2} + {\left(b c p r t u + a d q r t u\right)} x\right)} \log\left(x\right)^{2} + 2 \, {\left({\left({\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(e\right) + {\left(r t u \log\left(h\right) + r u \log\left(j\right) + r \log\left(i\right)\right)} \log\left(f\right)\right)} b c + {\left({\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(e\right) + {\left(r t u \log\left(h\right) + r u \log\left(j\right) + r \log\left(i\right)\right)} \log\left(f\right)\right)} a d\right)} x - 2 \, {\left({\left({\left(p r t u + q r t u\right)} \log\left(h\right) + {\left(p r + q r\right)} \log\left(i\right) + {\left(p r u + q r u\right)} \log\left(j\right)\right)} b d x^{2} + {\left({\left(p r t u \log\left(h\right) + p r u \log\left(j\right) + p r \log\left(i\right)\right)} b c + {\left(q r t u \log\left(h\right) + q r u \log\left(j\right) + q r \log\left(i\right)\right)} a d\right)} x\right)} \log\left(x\right)\right)} \log\left({\left(x^{t}\right)}^{u}\right)^{2} + 4 \, {\left({\left({\left(t^{3} u^{3} \log\left(h\right)^{3} + u^{3} \log\left(j\right)^{3} + 3 \, u^{2} \log\left(i\right) \log\left(j\right)^{2} + 3 \, u \log\left(i\right)^{2} \log\left(j\right) + 3 \, {\left(t^{2} u^{3} \log\left(j\right) + t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)^{2} + \log\left(i\right)^{3} + 3 \, {\left(t u^{3} \log\left(j\right)^{2} + 2 \, t u^{2} \log\left(i\right) \log\left(j\right) + t u \log\left(i\right)^{2}\right)} \log\left(h\right)\right)} \log\left(e\right) + {\left(r t^{3} u^{3} \log\left(h\right)^{3} + r u^{3} \log\left(j\right)^{3} + 3 \, r u^{2} \log\left(i\right) \log\left(j\right)^{2} + 3 \, r u \log\left(i\right)^{2} \log\left(j\right) + r \log\left(i\right)^{3} + 3 \, {\left(r t^{2} u^{3} \log\left(j\right) + r t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)^{2} + 3 \, {\left(r t u^{3} \log\left(j\right)^{2} + 2 \, r t u^{2} \log\left(i\right) \log\left(j\right) + r t u \log\left(i\right)^{2}\right)} \log\left(h\right)\right)} \log\left(f\right)\right)} b c + {\left({\left(t^{3} u^{3} \log\left(h\right)^{3} + u^{3} \log\left(j\right)^{3} + 3 \, u^{2} \log\left(i\right) \log\left(j\right)^{2} + 3 \, u \log\left(i\right)^{2} \log\left(j\right) + 3 \, {\left(t^{2} u^{3} \log\left(j\right) + t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)^{2} + \log\left(i\right)^{3} + 3 \, {\left(t u^{3} \log\left(j\right)^{2} + 2 \, t u^{2} \log\left(i\right) \log\left(j\right) + t u \log\left(i\right)^{2}\right)} \log\left(h\right)\right)} \log\left(e\right) + {\left(r t^{3} u^{3} \log\left(h\right)^{3} + r u^{3} \log\left(j\right)^{3} + 3 \, r u^{2} \log\left(i\right) \log\left(j\right)^{2} + 3 \, r u \log\left(i\right)^{2} \log\left(j\right) + r \log\left(i\right)^{3} + 3 \, {\left(r t^{2} u^{3} \log\left(j\right) + r t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)^{2} + 3 \, {\left(r t u^{3} \log\left(j\right)^{2} + 2 \, r t u^{2} \log\left(i\right) \log\left(j\right) + r t u \log\left(i\right)^{2}\right)} \log\left(h\right)\right)} \log\left(f\right)\right)} a d\right)} x - 4 \, {\left({\left({\left(p r t^{3} u^{3} + q r t^{3} u^{3}\right)} \log\left(h\right)^{3} + {\left(p r + q r\right)} \log\left(i\right)^{3} + 3 \, {\left(p r u + q r u\right)} \log\left(i\right)^{2} \log\left(j\right) + 3 \, {\left(p r u^{2} + q r u^{2}\right)} \log\left(i\right) \log\left(j\right)^{2} + {\left(p r u^{3} + q r u^{3}\right)} \log\left(j\right)^{3} + 3 \, {\left({\left(p r t^{2} u^{2} + q r t^{2} u^{2}\right)} \log\left(i\right) + {\left(p r t^{2} u^{3} + q r t^{2} u^{3}\right)} \log\left(j\right)\right)} \log\left(h\right)^{2} + 3 \, {\left({\left(p r t u + q r t u\right)} \log\left(i\right)^{2} + 2 \, {\left(p r t u^{2} + q r t u^{2}\right)} \log\left(i\right) \log\left(j\right) + {\left(p r t u^{3} + q r t u^{3}\right)} \log\left(j\right)^{2}\right)} \log\left(h\right)\right)} b d x^{2} + {\left({\left(p r t^{3} u^{3} \log\left(h\right)^{3} + p r u^{3} \log\left(j\right)^{3} + 3 \, p r u^{2} \log\left(i\right) \log\left(j\right)^{2} + 3 \, p r u \log\left(i\right)^{2} \log\left(j\right) + p r \log\left(i\right)^{3} + 3 \, {\left(p r t^{2} u^{3} \log\left(j\right) + p r t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)^{2} + 3 \, {\left(p r t u^{3} \log\left(j\right)^{2} + 2 \, p r t u^{2} \log\left(i\right) \log\left(j\right) + p r t u \log\left(i\right)^{2}\right)} \log\left(h\right)\right)} b c + {\left(q r t^{3} u^{3} \log\left(h\right)^{3} + q r u^{3} \log\left(j\right)^{3} + 3 \, q r u^{2} \log\left(i\right) \log\left(j\right)^{2} + 3 \, q r u \log\left(i\right)^{2} \log\left(j\right) + q r \log\left(i\right)^{3} + 3 \, {\left(q r t^{2} u^{3} \log\left(j\right) + q r t^{2} u^{2} \log\left(i\right)\right)} \log\left(h\right)^{2} + 3 \, {\left(q r t u^{3} \log\left(j\right)^{2} + 2 \, q r t u^{2} \log\left(i\right) \log\left(j\right) + q r t u \log\left(i\right)^{2}\right)} \log\left(h\right)\right)} a d\right)} x\right)} \log\left(x\right) + 4 \, {\left(3 \, {\left({\left(t^{2} u^{2} \log\left(h\right)^{2} + u^{2} \log\left(j\right)^{2} + 2 \, u \log\left(i\right) \log\left(j\right) + 2 \, {\left(t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(h\right) + \log\left(i\right)^{2}\right)} \log\left(e\right) + {\left(r t^{2} u^{2} \log\left(h\right)^{2} + r u^{2} \log\left(j\right)^{2} + 2 \, r u \log\left(i\right) \log\left(j\right) + r \log\left(i\right)^{2} + 2 \, {\left(r t u^{2} \log\left(j\right) + r t u \log\left(i\right)\right)} \log\left(h\right)\right)} \log\left(f\right)\right)} b d x^{2} - {\left({\left(p r t^{2} u^{2} + q r t^{2} u^{2}\right)} b d x^{2} + {\left(b c p r t^{2} u^{2} + a d q r t^{2} u^{2}\right)} x\right)} \log\left(x\right)^{3} + 3 \, {\left({\left(t^{2} u^{2} \log\left(h\right)^{2} + u^{2} \log\left(j\right)^{2} + 2 \, u \log\left(i\right) \log\left(j\right) + 2 \, {\left(t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(h\right) + \log\left(i\right)^{2}\right)} \log\left(e\right) + {\left(r t^{2} u^{2} \log\left(h\right)^{2} + r u^{2} \log\left(j\right)^{2} + 2 \, r u \log\left(i\right) \log\left(j\right) + r \log\left(i\right)^{2} + 2 \, {\left(r t u^{2} \log\left(j\right) + r t u \log\left(i\right)\right)} \log\left(h\right)\right)} \log\left(f\right)\right)} a c + 3 \, {\left({\left({\left(p r t^{2} u^{2} + q r t^{2} u^{2}\right)} \log\left(h\right) + {\left(p r t u + q r t u\right)} \log\left(i\right) + {\left(p r t u^{2} + q r t u^{2}\right)} \log\left(j\right)\right)} b d x^{2} + {\left({\left(p r t^{2} u^{2} \log\left(h\right) + p r t u^{2} \log\left(j\right) + p r t u \log\left(i\right)\right)} b c + {\left(q r t^{2} u^{2} \log\left(h\right) + q r t u^{2} \log\left(j\right) + q r t u \log\left(i\right)\right)} a d\right)} x\right)} \log\left(x\right)^{2} + 3 \, {\left({\left({\left(t^{2} u^{2} \log\left(h\right)^{2} + u^{2} \log\left(j\right)^{2} + 2 \, u \log\left(i\right) \log\left(j\right) + 2 \, {\left(t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(h\right) + \log\left(i\right)^{2}\right)} \log\left(e\right) + {\left(r t^{2} u^{2} \log\left(h\right)^{2} + r u^{2} \log\left(j\right)^{2} + 2 \, r u \log\left(i\right) \log\left(j\right) + r \log\left(i\right)^{2} + 2 \, {\left(r t u^{2} \log\left(j\right) + r t u \log\left(i\right)\right)} \log\left(h\right)\right)} \log\left(f\right)\right)} b c + {\left({\left(t^{2} u^{2} \log\left(h\right)^{2} + u^{2} \log\left(j\right)^{2} + 2 \, u \log\left(i\right) \log\left(j\right) + 2 \, {\left(t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(h\right) + \log\left(i\right)^{2}\right)} \log\left(e\right) + {\left(r t^{2} u^{2} \log\left(h\right)^{2} + r u^{2} \log\left(j\right)^{2} + 2 \, r u \log\left(i\right) \log\left(j\right) + r \log\left(i\right)^{2} + 2 \, {\left(r t u^{2} \log\left(j\right) + r t u \log\left(i\right)\right)} \log\left(h\right)\right)} \log\left(f\right)\right)} a d\right)} x - 3 \, {\left({\left({\left(p r t^{2} u^{2} + q r t^{2} u^{2}\right)} \log\left(h\right)^{2} + {\left(p r + q r\right)} \log\left(i\right)^{2} + 2 \, {\left(p r u + q r u\right)} \log\left(i\right) \log\left(j\right) + {\left(p r u^{2} + q r u^{2}\right)} \log\left(j\right)^{2} + 2 \, {\left({\left(p r t u + q r t u\right)} \log\left(i\right) + {\left(p r t u^{2} + q r t u^{2}\right)} \log\left(j\right)\right)} \log\left(h\right)\right)} b d x^{2} + {\left({\left(p r t^{2} u^{2} \log\left(h\right)^{2} + p r u^{2} \log\left(j\right)^{2} + 2 \, p r u \log\left(i\right) \log\left(j\right) + p r \log\left(i\right)^{2} + 2 \, {\left(p r t u^{2} \log\left(j\right) + p r t u \log\left(i\right)\right)} \log\left(h\right)\right)} b c + {\left(q r t^{2} u^{2} \log\left(h\right)^{2} + q r u^{2} \log\left(j\right)^{2} + 2 \, q r u \log\left(i\right) \log\left(j\right) + q r \log\left(i\right)^{2} + 2 \, {\left(q r t u^{2} \log\left(j\right) + q r t u \log\left(i\right)\right)} \log\left(h\right)\right)} a d\right)} x\right)} \log\left(x\right)\right)} \log\left({\left(x^{t}\right)}^{u}\right)}{4 \, {\left(b d x^{3} + a c x + {\left(b c + a d\right)} x^{2}\right)}}\,{d x}"," ",0,"-1/4*(t^3*u^3*log(x)^4 - 4*(t^3*u^3*log(h) + t^2*u^3*log(j) + t^2*u^2*log(i))*log(x)^3 - 4*log(x)*log((x^t)^u)^3 + 6*(t^3*u^3*log(h)^2 + t*u^3*log(j)^2 + 2*t*u^2*log(i)*log(j) + t*u*log(i)^2 + 2*(t^2*u^3*log(j) + t^2*u^2*log(i))*log(h))*log(x)^2 + 6*(t*u*log(x)^2 - 2*(t*u*log(h) + u*log(j) + log(i))*log(x))*log((x^t)^u)^2 - 4*(t^3*u^3*log(h)^3 + u^3*log(j)^3 + 3*u^2*log(i)*log(j)^2 + 3*u*log(i)^2*log(j) + 3*(t^2*u^3*log(j) + t^2*u^2*log(i))*log(h)^2 + log(i)^3 + 3*(t*u^3*log(j)^2 + 2*t*u^2*log(i)*log(j) + t*u*log(i)^2)*log(h))*log(x) - 4*(t^2*u^2*log(x)^3 - 3*(t^2*u^2*log(h) + t*u^2*log(j) + t*u*log(i))*log(x)^2 + 3*(t^2*u^2*log(h)^2 + u^2*log(j)^2 + 2*u*log(i)*log(j) + 2*(t*u^2*log(j) + t*u*log(i))*log(h) + log(i)^2)*log(x))*log((x^t)^u))*log(((b*x + a)^p)^r) - 1/4*(t^3*u^3*log(x)^4 - 4*(t^3*u^3*log(h) + t^2*u^3*log(j) + t^2*u^2*log(i))*log(x)^3 - 4*log(x)*log((x^t)^u)^3 + 6*(t^3*u^3*log(h)^2 + t*u^3*log(j)^2 + 2*t*u^2*log(i)*log(j) + t*u*log(i)^2 + 2*(t^2*u^3*log(j) + t^2*u^2*log(i))*log(h))*log(x)^2 + 6*(t*u*log(x)^2 - 2*(t*u*log(h) + u*log(j) + log(i))*log(x))*log((x^t)^u)^2 - 4*(t^3*u^3*log(h)^3 + u^3*log(j)^3 + 3*u^2*log(i)*log(j)^2 + 3*u*log(i)^2*log(j) + 3*(t^2*u^3*log(j) + t^2*u^2*log(i))*log(h)^2 + log(i)^3 + 3*(t*u^3*log(j)^2 + 2*t*u^2*log(i)*log(j) + t*u*log(i)^2)*log(h))*log(x) - 4*(t^2*u^2*log(x)^3 - 3*(t^2*u^2*log(h) + t*u^2*log(j) + t*u*log(i))*log(x)^2 + 3*(t^2*u^2*log(h)^2 + u^2*log(j)^2 + 2*u*log(i)*log(j) + 2*(t*u^2*log(j) + t*u*log(i))*log(h) + log(i)^2)*log(x))*log((x^t)^u))*log(((d*x + c)^q)^r) - integrate(-1/4*(4*((t^3*u^3*log(h)^3 + u^3*log(j)^3 + 3*u^2*log(i)*log(j)^2 + 3*u*log(i)^2*log(j) + 3*(t^2*u^3*log(j) + t^2*u^2*log(i))*log(h)^2 + log(i)^3 + 3*(t*u^3*log(j)^2 + 2*t*u^2*log(i)*log(j) + t*u*log(i)^2)*log(h))*log(e) + (r*t^3*u^3*log(h)^3 + r*u^3*log(j)^3 + 3*r*u^2*log(i)*log(j)^2 + 3*r*u*log(i)^2*log(j) + r*log(i)^3 + 3*(r*t^2*u^3*log(j) + r*t^2*u^2*log(i))*log(h)^2 + 3*(r*t*u^3*log(j)^2 + 2*r*t*u^2*log(i)*log(j) + r*t*u*log(i)^2)*log(h))*log(f))*b*d*x^2 + ((p*r*t^3*u^3 + q*r*t^3*u^3)*b*d*x^2 + (b*c*p*r*t^3*u^3 + a*d*q*r*t^3*u^3)*x)*log(x)^4 + 4*((r*log(f) + log(e))*b*d*x^2 + (r*log(f) + log(e))*a*c + ((r*log(f) + log(e))*b*c + (r*log(f) + log(e))*a*d)*x - ((p*r + q*r)*b*d*x^2 + (b*c*p*r + a*d*q*r)*x)*log(x))*log((x^t)^u)^3 - 4*(((p*r*t^3*u^3 + q*r*t^3*u^3)*log(h) + (p*r*t^2*u^2 + q*r*t^2*u^2)*log(i) + (p*r*t^2*u^3 + q*r*t^2*u^3)*log(j))*b*d*x^2 + ((p*r*t^3*u^3*log(h) + p*r*t^2*u^3*log(j) + p*r*t^2*u^2*log(i))*b*c + (q*r*t^3*u^3*log(h) + q*r*t^2*u^3*log(j) + q*r*t^2*u^2*log(i))*a*d)*x)*log(x)^3 + 4*((t^3*u^3*log(h)^3 + u^3*log(j)^3 + 3*u^2*log(i)*log(j)^2 + 3*u*log(i)^2*log(j) + 3*(t^2*u^3*log(j) + t^2*u^2*log(i))*log(h)^2 + log(i)^3 + 3*(t*u^3*log(j)^2 + 2*t*u^2*log(i)*log(j) + t*u*log(i)^2)*log(h))*log(e) + (r*t^3*u^3*log(h)^3 + r*u^3*log(j)^3 + 3*r*u^2*log(i)*log(j)^2 + 3*r*u*log(i)^2*log(j) + r*log(i)^3 + 3*(r*t^2*u^3*log(j) + r*t^2*u^2*log(i))*log(h)^2 + 3*(r*t*u^3*log(j)^2 + 2*r*t*u^2*log(i)*log(j) + r*t*u*log(i)^2)*log(h))*log(f))*a*c + 6*(((p*r*t^3*u^3 + q*r*t^3*u^3)*log(h)^2 + (p*r*t*u + q*r*t*u)*log(i)^2 + 2*(p*r*t*u^2 + q*r*t*u^2)*log(i)*log(j) + (p*r*t*u^3 + q*r*t*u^3)*log(j)^2 + 2*((p*r*t^2*u^2 + q*r*t^2*u^2)*log(i) + (p*r*t^2*u^3 + q*r*t^2*u^3)*log(j))*log(h))*b*d*x^2 + ((p*r*t^3*u^3*log(h)^2 + p*r*t*u^3*log(j)^2 + 2*p*r*t*u^2*log(i)*log(j) + p*r*t*u*log(i)^2 + 2*(p*r*t^2*u^3*log(j) + p*r*t^2*u^2*log(i))*log(h))*b*c + (q*r*t^3*u^3*log(h)^2 + q*r*t*u^3*log(j)^2 + 2*q*r*t*u^2*log(i)*log(j) + q*r*t*u*log(i)^2 + 2*(q*r*t^2*u^3*log(j) + q*r*t^2*u^2*log(i))*log(h))*a*d)*x)*log(x)^2 + 6*(2*((t*u*log(h) + u*log(j) + log(i))*log(e) + (r*t*u*log(h) + r*u*log(j) + r*log(i))*log(f))*b*d*x^2 + 2*((t*u*log(h) + u*log(j) + log(i))*log(e) + (r*t*u*log(h) + r*u*log(j) + r*log(i))*log(f))*a*c + ((p*r*t*u + q*r*t*u)*b*d*x^2 + (b*c*p*r*t*u + a*d*q*r*t*u)*x)*log(x)^2 + 2*(((t*u*log(h) + u*log(j) + log(i))*log(e) + (r*t*u*log(h) + r*u*log(j) + r*log(i))*log(f))*b*c + ((t*u*log(h) + u*log(j) + log(i))*log(e) + (r*t*u*log(h) + r*u*log(j) + r*log(i))*log(f))*a*d)*x - 2*(((p*r*t*u + q*r*t*u)*log(h) + (p*r + q*r)*log(i) + (p*r*u + q*r*u)*log(j))*b*d*x^2 + ((p*r*t*u*log(h) + p*r*u*log(j) + p*r*log(i))*b*c + (q*r*t*u*log(h) + q*r*u*log(j) + q*r*log(i))*a*d)*x)*log(x))*log((x^t)^u)^2 + 4*(((t^3*u^3*log(h)^3 + u^3*log(j)^3 + 3*u^2*log(i)*log(j)^2 + 3*u*log(i)^2*log(j) + 3*(t^2*u^3*log(j) + t^2*u^2*log(i))*log(h)^2 + log(i)^3 + 3*(t*u^3*log(j)^2 + 2*t*u^2*log(i)*log(j) + t*u*log(i)^2)*log(h))*log(e) + (r*t^3*u^3*log(h)^3 + r*u^3*log(j)^3 + 3*r*u^2*log(i)*log(j)^2 + 3*r*u*log(i)^2*log(j) + r*log(i)^3 + 3*(r*t^2*u^3*log(j) + r*t^2*u^2*log(i))*log(h)^2 + 3*(r*t*u^3*log(j)^2 + 2*r*t*u^2*log(i)*log(j) + r*t*u*log(i)^2)*log(h))*log(f))*b*c + ((t^3*u^3*log(h)^3 + u^3*log(j)^3 + 3*u^2*log(i)*log(j)^2 + 3*u*log(i)^2*log(j) + 3*(t^2*u^3*log(j) + t^2*u^2*log(i))*log(h)^2 + log(i)^3 + 3*(t*u^3*log(j)^2 + 2*t*u^2*log(i)*log(j) + t*u*log(i)^2)*log(h))*log(e) + (r*t^3*u^3*log(h)^3 + r*u^3*log(j)^3 + 3*r*u^2*log(i)*log(j)^2 + 3*r*u*log(i)^2*log(j) + r*log(i)^3 + 3*(r*t^2*u^3*log(j) + r*t^2*u^2*log(i))*log(h)^2 + 3*(r*t*u^3*log(j)^2 + 2*r*t*u^2*log(i)*log(j) + r*t*u*log(i)^2)*log(h))*log(f))*a*d)*x - 4*(((p*r*t^3*u^3 + q*r*t^3*u^3)*log(h)^3 + (p*r + q*r)*log(i)^3 + 3*(p*r*u + q*r*u)*log(i)^2*log(j) + 3*(p*r*u^2 + q*r*u^2)*log(i)*log(j)^2 + (p*r*u^3 + q*r*u^3)*log(j)^3 + 3*((p*r*t^2*u^2 + q*r*t^2*u^2)*log(i) + (p*r*t^2*u^3 + q*r*t^2*u^3)*log(j))*log(h)^2 + 3*((p*r*t*u + q*r*t*u)*log(i)^2 + 2*(p*r*t*u^2 + q*r*t*u^2)*log(i)*log(j) + (p*r*t*u^3 + q*r*t*u^3)*log(j)^2)*log(h))*b*d*x^2 + ((p*r*t^3*u^3*log(h)^3 + p*r*u^3*log(j)^3 + 3*p*r*u^2*log(i)*log(j)^2 + 3*p*r*u*log(i)^2*log(j) + p*r*log(i)^3 + 3*(p*r*t^2*u^3*log(j) + p*r*t^2*u^2*log(i))*log(h)^2 + 3*(p*r*t*u^3*log(j)^2 + 2*p*r*t*u^2*log(i)*log(j) + p*r*t*u*log(i)^2)*log(h))*b*c + (q*r*t^3*u^3*log(h)^3 + q*r*u^3*log(j)^3 + 3*q*r*u^2*log(i)*log(j)^2 + 3*q*r*u*log(i)^2*log(j) + q*r*log(i)^3 + 3*(q*r*t^2*u^3*log(j) + q*r*t^2*u^2*log(i))*log(h)^2 + 3*(q*r*t*u^3*log(j)^2 + 2*q*r*t*u^2*log(i)*log(j) + q*r*t*u*log(i)^2)*log(h))*a*d)*x)*log(x) + 4*(3*((t^2*u^2*log(h)^2 + u^2*log(j)^2 + 2*u*log(i)*log(j) + 2*(t*u^2*log(j) + t*u*log(i))*log(h) + log(i)^2)*log(e) + (r*t^2*u^2*log(h)^2 + r*u^2*log(j)^2 + 2*r*u*log(i)*log(j) + r*log(i)^2 + 2*(r*t*u^2*log(j) + r*t*u*log(i))*log(h))*log(f))*b*d*x^2 - ((p*r*t^2*u^2 + q*r*t^2*u^2)*b*d*x^2 + (b*c*p*r*t^2*u^2 + a*d*q*r*t^2*u^2)*x)*log(x)^3 + 3*((t^2*u^2*log(h)^2 + u^2*log(j)^2 + 2*u*log(i)*log(j) + 2*(t*u^2*log(j) + t*u*log(i))*log(h) + log(i)^2)*log(e) + (r*t^2*u^2*log(h)^2 + r*u^2*log(j)^2 + 2*r*u*log(i)*log(j) + r*log(i)^2 + 2*(r*t*u^2*log(j) + r*t*u*log(i))*log(h))*log(f))*a*c + 3*(((p*r*t^2*u^2 + q*r*t^2*u^2)*log(h) + (p*r*t*u + q*r*t*u)*log(i) + (p*r*t*u^2 + q*r*t*u^2)*log(j))*b*d*x^2 + ((p*r*t^2*u^2*log(h) + p*r*t*u^2*log(j) + p*r*t*u*log(i))*b*c + (q*r*t^2*u^2*log(h) + q*r*t*u^2*log(j) + q*r*t*u*log(i))*a*d)*x)*log(x)^2 + 3*(((t^2*u^2*log(h)^2 + u^2*log(j)^2 + 2*u*log(i)*log(j) + 2*(t*u^2*log(j) + t*u*log(i))*log(h) + log(i)^2)*log(e) + (r*t^2*u^2*log(h)^2 + r*u^2*log(j)^2 + 2*r*u*log(i)*log(j) + r*log(i)^2 + 2*(r*t*u^2*log(j) + r*t*u*log(i))*log(h))*log(f))*b*c + ((t^2*u^2*log(h)^2 + u^2*log(j)^2 + 2*u*log(i)*log(j) + 2*(t*u^2*log(j) + t*u*log(i))*log(h) + log(i)^2)*log(e) + (r*t^2*u^2*log(h)^2 + r*u^2*log(j)^2 + 2*r*u*log(i)*log(j) + r*log(i)^2 + 2*(r*t*u^2*log(j) + r*t*u*log(i))*log(h))*log(f))*a*d)*x - 3*(((p*r*t^2*u^2 + q*r*t^2*u^2)*log(h)^2 + (p*r + q*r)*log(i)^2 + 2*(p*r*u + q*r*u)*log(i)*log(j) + (p*r*u^2 + q*r*u^2)*log(j)^2 + 2*((p*r*t*u + q*r*t*u)*log(i) + (p*r*t*u^2 + q*r*t*u^2)*log(j))*log(h))*b*d*x^2 + ((p*r*t^2*u^2*log(h)^2 + p*r*u^2*log(j)^2 + 2*p*r*u*log(i)*log(j) + p*r*log(i)^2 + 2*(p*r*t*u^2*log(j) + p*r*t*u*log(i))*log(h))*b*c + (q*r*t^2*u^2*log(h)^2 + q*r*u^2*log(j)^2 + 2*q*r*u*log(i)*log(j) + q*r*log(i)^2 + 2*(q*r*t*u^2*log(j) + q*r*t*u*log(i))*log(h))*a*d)*x)*log(x))*log((x^t)^u))/(b*d*x^3 + a*c*x + (b*c + a*d)*x^2), x)","F",0
57,0,0,0,0.000000," ","integrate(log(i*(j*(h*x)^t)^u)^2*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/x,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(t^{2} u^{2} \log\left(x\right)^{3} - 3 \, {\left(t^{2} u^{2} \log\left(h\right) + t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(x\right)^{2} + 3 \, \log\left(x\right) \log\left({\left(x^{t}\right)}^{u}\right)^{2} + 3 \, {\left(t^{2} u^{2} \log\left(h\right)^{2} + u^{2} \log\left(j\right)^{2} + 2 \, u \log\left(i\right) \log\left(j\right) + 2 \, {\left(t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(h\right) + \log\left(i\right)^{2}\right)} \log\left(x\right) - 3 \, {\left(t u \log\left(x\right)^{2} - 2 \, {\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(x\right)\right)} \log\left({\left(x^{t}\right)}^{u}\right)\right)} \log\left({\left({\left(b x + a\right)}^{p}\right)}^{r}\right) + \frac{1}{3} \, {\left(t^{2} u^{2} \log\left(x\right)^{3} - 3 \, {\left(t^{2} u^{2} \log\left(h\right) + t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(x\right)^{2} + 3 \, \log\left(x\right) \log\left({\left(x^{t}\right)}^{u}\right)^{2} + 3 \, {\left(t^{2} u^{2} \log\left(h\right)^{2} + u^{2} \log\left(j\right)^{2} + 2 \, u \log\left(i\right) \log\left(j\right) + 2 \, {\left(t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(h\right) + \log\left(i\right)^{2}\right)} \log\left(x\right) - 3 \, {\left(t u \log\left(x\right)^{2} - 2 \, {\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(x\right)\right)} \log\left({\left(x^{t}\right)}^{u}\right)\right)} \log\left({\left({\left(d x + c\right)}^{q}\right)}^{r}\right) - \int -\frac{3 \, {\left({\left(t^{2} u^{2} \log\left(h\right)^{2} + u^{2} \log\left(j\right)^{2} + 2 \, u \log\left(i\right) \log\left(j\right) + 2 \, {\left(t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(h\right) + \log\left(i\right)^{2}\right)} \log\left(e\right) + {\left(r t^{2} u^{2} \log\left(h\right)^{2} + r u^{2} \log\left(j\right)^{2} + 2 \, r u \log\left(i\right) \log\left(j\right) + r \log\left(i\right)^{2} + 2 \, {\left(r t u^{2} \log\left(j\right) + r t u \log\left(i\right)\right)} \log\left(h\right)\right)} \log\left(f\right)\right)} b d x^{2} - {\left({\left(p r t^{2} u^{2} + q r t^{2} u^{2}\right)} b d x^{2} + {\left(b c p r t^{2} u^{2} + a d q r t^{2} u^{2}\right)} x\right)} \log\left(x\right)^{3} + 3 \, {\left({\left(t^{2} u^{2} \log\left(h\right)^{2} + u^{2} \log\left(j\right)^{2} + 2 \, u \log\left(i\right) \log\left(j\right) + 2 \, {\left(t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(h\right) + \log\left(i\right)^{2}\right)} \log\left(e\right) + {\left(r t^{2} u^{2} \log\left(h\right)^{2} + r u^{2} \log\left(j\right)^{2} + 2 \, r u \log\left(i\right) \log\left(j\right) + r \log\left(i\right)^{2} + 2 \, {\left(r t u^{2} \log\left(j\right) + r t u \log\left(i\right)\right)} \log\left(h\right)\right)} \log\left(f\right)\right)} a c + 3 \, {\left({\left(r \log\left(f\right) + \log\left(e\right)\right)} b d x^{2} + {\left(r \log\left(f\right) + \log\left(e\right)\right)} a c + {\left({\left(r \log\left(f\right) + \log\left(e\right)\right)} b c + {\left(r \log\left(f\right) + \log\left(e\right)\right)} a d\right)} x - {\left({\left(p r + q r\right)} b d x^{2} + {\left(b c p r + a d q r\right)} x\right)} \log\left(x\right)\right)} \log\left({\left(x^{t}\right)}^{u}\right)^{2} + 3 \, {\left({\left({\left(p r t^{2} u^{2} + q r t^{2} u^{2}\right)} \log\left(h\right) + {\left(p r t u + q r t u\right)} \log\left(i\right) + {\left(p r t u^{2} + q r t u^{2}\right)} \log\left(j\right)\right)} b d x^{2} + {\left({\left(p r t^{2} u^{2} \log\left(h\right) + p r t u^{2} \log\left(j\right) + p r t u \log\left(i\right)\right)} b c + {\left(q r t^{2} u^{2} \log\left(h\right) + q r t u^{2} \log\left(j\right) + q r t u \log\left(i\right)\right)} a d\right)} x\right)} \log\left(x\right)^{2} + 3 \, {\left({\left({\left(t^{2} u^{2} \log\left(h\right)^{2} + u^{2} \log\left(j\right)^{2} + 2 \, u \log\left(i\right) \log\left(j\right) + 2 \, {\left(t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(h\right) + \log\left(i\right)^{2}\right)} \log\left(e\right) + {\left(r t^{2} u^{2} \log\left(h\right)^{2} + r u^{2} \log\left(j\right)^{2} + 2 \, r u \log\left(i\right) \log\left(j\right) + r \log\left(i\right)^{2} + 2 \, {\left(r t u^{2} \log\left(j\right) + r t u \log\left(i\right)\right)} \log\left(h\right)\right)} \log\left(f\right)\right)} b c + {\left({\left(t^{2} u^{2} \log\left(h\right)^{2} + u^{2} \log\left(j\right)^{2} + 2 \, u \log\left(i\right) \log\left(j\right) + 2 \, {\left(t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} \log\left(h\right) + \log\left(i\right)^{2}\right)} \log\left(e\right) + {\left(r t^{2} u^{2} \log\left(h\right)^{2} + r u^{2} \log\left(j\right)^{2} + 2 \, r u \log\left(i\right) \log\left(j\right) + r \log\left(i\right)^{2} + 2 \, {\left(r t u^{2} \log\left(j\right) + r t u \log\left(i\right)\right)} \log\left(h\right)\right)} \log\left(f\right)\right)} a d\right)} x - 3 \, {\left({\left({\left(p r t^{2} u^{2} + q r t^{2} u^{2}\right)} \log\left(h\right)^{2} + {\left(p r + q r\right)} \log\left(i\right)^{2} + 2 \, {\left(p r u + q r u\right)} \log\left(i\right) \log\left(j\right) + {\left(p r u^{2} + q r u^{2}\right)} \log\left(j\right)^{2} + 2 \, {\left({\left(p r t u + q r t u\right)} \log\left(i\right) + {\left(p r t u^{2} + q r t u^{2}\right)} \log\left(j\right)\right)} \log\left(h\right)\right)} b d x^{2} + {\left({\left(p r t^{2} u^{2} \log\left(h\right)^{2} + p r u^{2} \log\left(j\right)^{2} + 2 \, p r u \log\left(i\right) \log\left(j\right) + p r \log\left(i\right)^{2} + 2 \, {\left(p r t u^{2} \log\left(j\right) + p r t u \log\left(i\right)\right)} \log\left(h\right)\right)} b c + {\left(q r t^{2} u^{2} \log\left(h\right)^{2} + q r u^{2} \log\left(j\right)^{2} + 2 \, q r u \log\left(i\right) \log\left(j\right) + q r \log\left(i\right)^{2} + 2 \, {\left(q r t u^{2} \log\left(j\right) + q r t u \log\left(i\right)\right)} \log\left(h\right)\right)} a d\right)} x\right)} \log\left(x\right) + 3 \, {\left(2 \, {\left({\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(e\right) + {\left(r t u \log\left(h\right) + r u \log\left(j\right) + r \log\left(i\right)\right)} \log\left(f\right)\right)} b d x^{2} + 2 \, {\left({\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(e\right) + {\left(r t u \log\left(h\right) + r u \log\left(j\right) + r \log\left(i\right)\right)} \log\left(f\right)\right)} a c + {\left({\left(p r t u + q r t u\right)} b d x^{2} + {\left(b c p r t u + a d q r t u\right)} x\right)} \log\left(x\right)^{2} + 2 \, {\left({\left({\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(e\right) + {\left(r t u \log\left(h\right) + r u \log\left(j\right) + r \log\left(i\right)\right)} \log\left(f\right)\right)} b c + {\left({\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(e\right) + {\left(r t u \log\left(h\right) + r u \log\left(j\right) + r \log\left(i\right)\right)} \log\left(f\right)\right)} a d\right)} x - 2 \, {\left({\left({\left(p r t u + q r t u\right)} \log\left(h\right) + {\left(p r + q r\right)} \log\left(i\right) + {\left(p r u + q r u\right)} \log\left(j\right)\right)} b d x^{2} + {\left({\left(p r t u \log\left(h\right) + p r u \log\left(j\right) + p r \log\left(i\right)\right)} b c + {\left(q r t u \log\left(h\right) + q r u \log\left(j\right) + q r \log\left(i\right)\right)} a d\right)} x\right)} \log\left(x\right)\right)} \log\left({\left(x^{t}\right)}^{u}\right)}{3 \, {\left(b d x^{3} + a c x + {\left(b c + a d\right)} x^{2}\right)}}\,{d x}"," ",0,"1/3*(t^2*u^2*log(x)^3 - 3*(t^2*u^2*log(h) + t*u^2*log(j) + t*u*log(i))*log(x)^2 + 3*log(x)*log((x^t)^u)^2 + 3*(t^2*u^2*log(h)^2 + u^2*log(j)^2 + 2*u*log(i)*log(j) + 2*(t*u^2*log(j) + t*u*log(i))*log(h) + log(i)^2)*log(x) - 3*(t*u*log(x)^2 - 2*(t*u*log(h) + u*log(j) + log(i))*log(x))*log((x^t)^u))*log(((b*x + a)^p)^r) + 1/3*(t^2*u^2*log(x)^3 - 3*(t^2*u^2*log(h) + t*u^2*log(j) + t*u*log(i))*log(x)^2 + 3*log(x)*log((x^t)^u)^2 + 3*(t^2*u^2*log(h)^2 + u^2*log(j)^2 + 2*u*log(i)*log(j) + 2*(t*u^2*log(j) + t*u*log(i))*log(h) + log(i)^2)*log(x) - 3*(t*u*log(x)^2 - 2*(t*u*log(h) + u*log(j) + log(i))*log(x))*log((x^t)^u))*log(((d*x + c)^q)^r) - integrate(-1/3*(3*((t^2*u^2*log(h)^2 + u^2*log(j)^2 + 2*u*log(i)*log(j) + 2*(t*u^2*log(j) + t*u*log(i))*log(h) + log(i)^2)*log(e) + (r*t^2*u^2*log(h)^2 + r*u^2*log(j)^2 + 2*r*u*log(i)*log(j) + r*log(i)^2 + 2*(r*t*u^2*log(j) + r*t*u*log(i))*log(h))*log(f))*b*d*x^2 - ((p*r*t^2*u^2 + q*r*t^2*u^2)*b*d*x^2 + (b*c*p*r*t^2*u^2 + a*d*q*r*t^2*u^2)*x)*log(x)^3 + 3*((t^2*u^2*log(h)^2 + u^2*log(j)^2 + 2*u*log(i)*log(j) + 2*(t*u^2*log(j) + t*u*log(i))*log(h) + log(i)^2)*log(e) + (r*t^2*u^2*log(h)^2 + r*u^2*log(j)^2 + 2*r*u*log(i)*log(j) + r*log(i)^2 + 2*(r*t*u^2*log(j) + r*t*u*log(i))*log(h))*log(f))*a*c + 3*((r*log(f) + log(e))*b*d*x^2 + (r*log(f) + log(e))*a*c + ((r*log(f) + log(e))*b*c + (r*log(f) + log(e))*a*d)*x - ((p*r + q*r)*b*d*x^2 + (b*c*p*r + a*d*q*r)*x)*log(x))*log((x^t)^u)^2 + 3*(((p*r*t^2*u^2 + q*r*t^2*u^2)*log(h) + (p*r*t*u + q*r*t*u)*log(i) + (p*r*t*u^2 + q*r*t*u^2)*log(j))*b*d*x^2 + ((p*r*t^2*u^2*log(h) + p*r*t*u^2*log(j) + p*r*t*u*log(i))*b*c + (q*r*t^2*u^2*log(h) + q*r*t*u^2*log(j) + q*r*t*u*log(i))*a*d)*x)*log(x)^2 + 3*(((t^2*u^2*log(h)^2 + u^2*log(j)^2 + 2*u*log(i)*log(j) + 2*(t*u^2*log(j) + t*u*log(i))*log(h) + log(i)^2)*log(e) + (r*t^2*u^2*log(h)^2 + r*u^2*log(j)^2 + 2*r*u*log(i)*log(j) + r*log(i)^2 + 2*(r*t*u^2*log(j) + r*t*u*log(i))*log(h))*log(f))*b*c + ((t^2*u^2*log(h)^2 + u^2*log(j)^2 + 2*u*log(i)*log(j) + 2*(t*u^2*log(j) + t*u*log(i))*log(h) + log(i)^2)*log(e) + (r*t^2*u^2*log(h)^2 + r*u^2*log(j)^2 + 2*r*u*log(i)*log(j) + r*log(i)^2 + 2*(r*t*u^2*log(j) + r*t*u*log(i))*log(h))*log(f))*a*d)*x - 3*(((p*r*t^2*u^2 + q*r*t^2*u^2)*log(h)^2 + (p*r + q*r)*log(i)^2 + 2*(p*r*u + q*r*u)*log(i)*log(j) + (p*r*u^2 + q*r*u^2)*log(j)^2 + 2*((p*r*t*u + q*r*t*u)*log(i) + (p*r*t*u^2 + q*r*t*u^2)*log(j))*log(h))*b*d*x^2 + ((p*r*t^2*u^2*log(h)^2 + p*r*u^2*log(j)^2 + 2*p*r*u*log(i)*log(j) + p*r*log(i)^2 + 2*(p*r*t*u^2*log(j) + p*r*t*u*log(i))*log(h))*b*c + (q*r*t^2*u^2*log(h)^2 + q*r*u^2*log(j)^2 + 2*q*r*u*log(i)*log(j) + q*r*log(i)^2 + 2*(q*r*t*u^2*log(j) + q*r*t*u*log(i))*log(h))*a*d)*x)*log(x) + 3*(2*((t*u*log(h) + u*log(j) + log(i))*log(e) + (r*t*u*log(h) + r*u*log(j) + r*log(i))*log(f))*b*d*x^2 + 2*((t*u*log(h) + u*log(j) + log(i))*log(e) + (r*t*u*log(h) + r*u*log(j) + r*log(i))*log(f))*a*c + ((p*r*t*u + q*r*t*u)*b*d*x^2 + (b*c*p*r*t*u + a*d*q*r*t*u)*x)*log(x)^2 + 2*(((t*u*log(h) + u*log(j) + log(i))*log(e) + (r*t*u*log(h) + r*u*log(j) + r*log(i))*log(f))*b*c + ((t*u*log(h) + u*log(j) + log(i))*log(e) + (r*t*u*log(h) + r*u*log(j) + r*log(i))*log(f))*a*d)*x - 2*(((p*r*t*u + q*r*t*u)*log(h) + (p*r + q*r)*log(i) + (p*r*u + q*r*u)*log(j))*b*d*x^2 + ((p*r*t*u*log(h) + p*r*u*log(j) + p*r*log(i))*b*c + (q*r*t*u*log(h) + q*r*u*log(j) + q*r*log(i))*a*d)*x)*log(x))*log((x^t)^u))/(b*d*x^3 + a*c*x + (b*c + a*d)*x^2), x)","F",0
58,0,0,0,0.000000," ","integrate(log(i*(j*(h*x)^t)^u)*log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(t u \log\left(x\right)^{2} - 2 \, {\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(x\right) - 2 \, \log\left(x\right) \log\left({\left(x^{t}\right)}^{u}\right)\right)} \log\left({\left({\left(b x + a\right)}^{p}\right)}^{r}\right) - \frac{1}{2} \, {\left(t u \log\left(x\right)^{2} - 2 \, {\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(x\right) - 2 \, \log\left(x\right) \log\left({\left(x^{t}\right)}^{u}\right)\right)} \log\left({\left({\left(d x + c\right)}^{q}\right)}^{r}\right) - \int -\frac{2 \, {\left({\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(e\right) + {\left(r t u \log\left(h\right) + r u \log\left(j\right) + r \log\left(i\right)\right)} \log\left(f\right)\right)} b d x^{2} + 2 \, {\left({\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(e\right) + {\left(r t u \log\left(h\right) + r u \log\left(j\right) + r \log\left(i\right)\right)} \log\left(f\right)\right)} a c + {\left({\left(p r t u + q r t u\right)} b d x^{2} + {\left(b c p r t u + a d q r t u\right)} x\right)} \log\left(x\right)^{2} + 2 \, {\left({\left({\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(e\right) + {\left(r t u \log\left(h\right) + r u \log\left(j\right) + r \log\left(i\right)\right)} \log\left(f\right)\right)} b c + {\left({\left(t u \log\left(h\right) + u \log\left(j\right) + \log\left(i\right)\right)} \log\left(e\right) + {\left(r t u \log\left(h\right) + r u \log\left(j\right) + r \log\left(i\right)\right)} \log\left(f\right)\right)} a d\right)} x + 2 \, {\left({\left(r \log\left(f\right) + \log\left(e\right)\right)} b d x^{2} + {\left(r \log\left(f\right) + \log\left(e\right)\right)} a c + {\left({\left(r \log\left(f\right) + \log\left(e\right)\right)} b c + {\left(r \log\left(f\right) + \log\left(e\right)\right)} a d\right)} x - {\left({\left(p r + q r\right)} b d x^{2} + {\left(b c p r + a d q r\right)} x\right)} \log\left(x\right)\right)} \log\left({\left(x^{t}\right)}^{u}\right) - 2 \, {\left({\left({\left(p r t u + q r t u\right)} \log\left(h\right) + {\left(p r + q r\right)} \log\left(i\right) + {\left(p r u + q r u\right)} \log\left(j\right)\right)} b d x^{2} + {\left({\left(p r t u \log\left(h\right) + p r u \log\left(j\right) + p r \log\left(i\right)\right)} b c + {\left(q r t u \log\left(h\right) + q r u \log\left(j\right) + q r \log\left(i\right)\right)} a d\right)} x\right)} \log\left(x\right)}{2 \, {\left(b d x^{3} + a c x + {\left(b c + a d\right)} x^{2}\right)}}\,{d x}"," ",0,"-1/2*(t*u*log(x)^2 - 2*(t*u*log(h) + u*log(j) + log(i))*log(x) - 2*log(x)*log((x^t)^u))*log(((b*x + a)^p)^r) - 1/2*(t*u*log(x)^2 - 2*(t*u*log(h) + u*log(j) + log(i))*log(x) - 2*log(x)*log((x^t)^u))*log(((d*x + c)^q)^r) - integrate(-1/2*(2*((t*u*log(h) + u*log(j) + log(i))*log(e) + (r*t*u*log(h) + r*u*log(j) + r*log(i))*log(f))*b*d*x^2 + 2*((t*u*log(h) + u*log(j) + log(i))*log(e) + (r*t*u*log(h) + r*u*log(j) + r*log(i))*log(f))*a*c + ((p*r*t*u + q*r*t*u)*b*d*x^2 + (b*c*p*r*t*u + a*d*q*r*t*u)*x)*log(x)^2 + 2*(((t*u*log(h) + u*log(j) + log(i))*log(e) + (r*t*u*log(h) + r*u*log(j) + r*log(i))*log(f))*b*c + ((t*u*log(h) + u*log(j) + log(i))*log(e) + (r*t*u*log(h) + r*u*log(j) + r*log(i))*log(f))*a*d)*x + 2*((r*log(f) + log(e))*b*d*x^2 + (r*log(f) + log(e))*a*c + ((r*log(f) + log(e))*b*c + (r*log(f) + log(e))*a*d)*x - ((p*r + q*r)*b*d*x^2 + (b*c*p*r + a*d*q*r)*x)*log(x))*log((x^t)^u) - 2*(((p*r*t*u + q*r*t*u)*log(h) + (p*r + q*r)*log(i) + (p*r*u + q*r*u)*log(j))*b*d*x^2 + ((p*r*t*u*log(h) + p*r*u*log(j) + p*r*log(i))*b*c + (q*r*t*u*log(h) + q*r*u*log(j) + q*r*log(i))*a*d)*x)*log(x))/(b*d*x^3 + a*c*x + (b*c + a*d)*x^2), x)","F",0
59,1,126,0,1.139630," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/x,x, algorithm=""maxima"")","-\frac{{\left(f p \log\left(b x + a\right) + f q \log\left(d x + c\right)\right)} r \log\left(x\right)}{f} + \log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right) \log\left(x\right) + \frac{{\left({\left(\log\left(b x + a\right) \log\left(-\frac{b x + a}{a} + 1\right) + {\rm Li}_2\left(\frac{b x + a}{a}\right)\right)} f p + {\left(\log\left(d x + c\right) \log\left(-\frac{d x + c}{c} + 1\right) + {\rm Li}_2\left(\frac{d x + c}{c}\right)\right)} f q\right)} r}{f}"," ",0,"-(f*p*log(b*x + a) + f*q*log(d*x + c))*r*log(x)/f + log(((b*x + a)^p*(d*x + c)^q*f)^r*e)*log(x) + ((log(b*x + a)*log(-(b*x + a)/a + 1) + dilog((b*x + a)/a))*f*p + (log(d*x + c)*log(-(d*x + c)/c + 1) + dilog((d*x + c)/c))*f*q)*r/f","A",0
60,0,0,0,0.000000," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/x/log(i*(j*(h*x)^t)^u),x, algorithm=""maxima"")","\int \frac{\log\left(\left({\left(b x + a\right)}^{p} {\left(d x + c\right)}^{q} f\right)^{r} e\right)}{x \log\left(\left(\left(h x\right)^{t} j\right)^{u} i\right)}\,{d x}"," ",0,"integrate(log(((b*x + a)^p*(d*x + c)^q*f)^r*e)/(x*log(((h*x)^t*j)^u*i)), x)","F",0
61,0,0,0,0.000000," ","integrate(log(e*(f*(b*x+a)^p*(d*x+c)^q)^r)/x/log(i*(j*(h*x)^t)^u)^2,x, algorithm=""maxima"")","-\frac{r \log\left(f\right) + \log\left({\left({\left(b x + a\right)}^{p}\right)}^{r}\right) + \log\left({\left({\left(d x + c\right)}^{q}\right)}^{r}\right) + \log\left(e\right)}{t^{2} u^{2} \log\left(h\right) + t u^{2} \log\left(j\right) + t u \log\left(i\right) + t u \log\left({\left(x^{t}\right)}^{u}\right)} + \int \frac{b c p r + a d q r + {\left(p r + q r\right)} b d x}{{\left(t^{2} u^{2} \log\left(h\right) + t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} b d x^{2} + {\left(t^{2} u^{2} \log\left(h\right) + t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} a c + {\left({\left(t^{2} u^{2} \log\left(h\right) + t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} b c + {\left(t^{2} u^{2} \log\left(h\right) + t u^{2} \log\left(j\right) + t u \log\left(i\right)\right)} a d\right)} x + {\left(b d t u x^{2} + a c t u + {\left(b c t u + a d t u\right)} x\right)} \log\left({\left(x^{t}\right)}^{u}\right)}\,{d x}"," ",0,"-(r*log(f) + log(((b*x + a)^p)^r) + log(((d*x + c)^q)^r) + log(e))/(t^2*u^2*log(h) + t*u^2*log(j) + t*u*log(i) + t*u*log((x^t)^u)) + integrate((b*c*p*r + a*d*q*r + (p*r + q*r)*b*d*x)/((t^2*u^2*log(h) + t*u^2*log(j) + t*u*log(i))*b*d*x^2 + (t^2*u^2*log(h) + t*u^2*log(j) + t*u*log(i))*a*c + ((t^2*u^2*log(h) + t*u^2*log(j) + t*u*log(i))*b*c + (t^2*u^2*log(h) + t*u^2*log(j) + t*u*log(i))*a*d)*x + (b*d*t*u*x^2 + a*c*t*u + (b*c*t*u + a*d*t*u)*x)*log((x^t)^u)), x)","F",0
62,0,0,0,0.000000," ","integrate(log(x)*log((b*x+a)/(-a*d+b*c)/x)^3/x,x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(b x + a\right)^{3} \log\left(x\right)^{2} - \int \frac{2 \, {\left(b x + a\right)} \log\left(x\right)^{4} + 6 \, {\left(b x \log\left(b c - a d\right) + a \log\left(b c - a d\right)\right)} \log\left(x\right)^{3} + 3 \, {\left({\left(3 \, b x + 2 \, a\right)} \log\left(x\right)^{2} + 2 \, {\left(b x \log\left(b c - a d\right) + a \log\left(b c - a d\right)\right)} \log\left(x\right)\right)} \log\left(b x + a\right)^{2} + 6 \, {\left(b x \log\left(b c - a d\right)^{2} + a \log\left(b c - a d\right)^{2}\right)} \log\left(x\right)^{2} - 6 \, {\left({\left(b x + a\right)} \log\left(x\right)^{3} + 2 \, {\left(b x \log\left(b c - a d\right) + a \log\left(b c - a d\right)\right)} \log\left(x\right)^{2} + {\left(b x \log\left(b c - a d\right)^{2} + a \log\left(b c - a d\right)^{2}\right)} \log\left(x\right)\right)} \log\left(b x + a\right) + 2 \, {\left(b x \log\left(b c - a d\right)^{3} + a \log\left(b c - a d\right)^{3}\right)} \log\left(x\right)}{2 \, {\left(b x^{2} + a x\right)}}\,{d x}"," ",0,"1/2*log(b*x + a)^3*log(x)^2 - integrate(1/2*(2*(b*x + a)*log(x)^4 + 6*(b*x*log(b*c - a*d) + a*log(b*c - a*d))*log(x)^3 + 3*((3*b*x + 2*a)*log(x)^2 + 2*(b*x*log(b*c - a*d) + a*log(b*c - a*d))*log(x))*log(b*x + a)^2 + 6*(b*x*log(b*c - a*d)^2 + a*log(b*c - a*d)^2)*log(x)^2 - 6*((b*x + a)*log(x)^3 + 2*(b*x*log(b*c - a*d) + a*log(b*c - a*d))*log(x)^2 + (b*x*log(b*c - a*d)^2 + a*log(b*c - a*d)^2)*log(x))*log(b*x + a) + 2*(b*x*log(b*c - a*d)^3 + a*log(b*c - a*d)^3)*log(x))/(b*x^2 + a*x), x)","F",0
63,0,0,0,0.000000," ","integrate(log(x)*log((b*x+a)/(-a*d+b*c)/x)^2/x,x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(b x + a\right)^{2} \log\left(x\right)^{2} - \int -\frac{{\left(b x + a\right)} \log\left(x\right)^{3} + 2 \, {\left(b x \log\left(b c - a d\right) + a \log\left(b c - a d\right)\right)} \log\left(x\right)^{2} - {\left({\left(3 \, b x + 2 \, a\right)} \log\left(x\right)^{2} + 2 \, {\left(b x \log\left(b c - a d\right) + a \log\left(b c - a d\right)\right)} \log\left(x\right)\right)} \log\left(b x + a\right) + {\left(b x \log\left(b c - a d\right)^{2} + a \log\left(b c - a d\right)^{2}\right)} \log\left(x\right)}{b x^{2} + a x}\,{d x}"," ",0,"1/2*log(b*x + a)^2*log(x)^2 - integrate(-((b*x + a)*log(x)^3 + 2*(b*x*log(b*c - a*d) + a*log(b*c - a*d))*log(x)^2 - ((3*b*x + 2*a)*log(x)^2 + 2*(b*x*log(b*c - a*d) + a*log(b*c - a*d))*log(x))*log(b*x + a) + (b*x*log(b*c - a*d)^2 + a*log(b*c - a*d)^2)*log(x))/(b*x^2 + a*x), x)","F",0
64,-2,0,0,0.000000," ","integrate(log(x)*log((b*x+a)/(-a*d+b*c)/x)/x,x, algorithm=""maxima"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> unable to make sense of Maxima expression 'li[2]' in Sage","F(-2)",0
65,0,0,0,0.000000," ","integrate(log(x)/x/log((b*x+a)/(-a*d+b*c)/x),x, algorithm=""maxima"")","\int \frac{\log\left(x\right)}{x \log\left(\frac{b x + a}{{\left(b c - a d\right)} x}\right)}\,{d x}"," ",0,"integrate(log(x)/(x*log((b*x + a)/((b*c - a*d)*x))), x)","F",0
66,0,0,0,0.000000," ","integrate(log(x)/x/log((b*x+a)/(-a*d+b*c)/x)^2,x, algorithm=""maxima"")","-\frac{{\left(b x + a\right)} \log\left(x\right)}{a \log\left(b c - a d\right) - a \log\left(b x + a\right) + a \log\left(x\right)} - \int -\frac{b x \log\left(x\right) + b x + a}{a x \log\left(b c - a d\right) - a x \log\left(b x + a\right) + a x \log\left(x\right)}\,{d x}"," ",0,"-(b*x + a)*log(x)/(a*log(b*c - a*d) - a*log(b*x + a) + a*log(x)) - integrate(-(b*x*log(x) + b*x + a)/(a*x*log(b*c - a*d) - a*x*log(b*x + a) + a*x*log(x)), x)","F",0
67,0,0,0,0.000000," ","integrate(log(e*((b*x+a)/(d*x+c))^n)^3*log(h*(g*x+f)^m)/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","-\frac{{\left(n^{3} \log\left(b x + a\right)^{4} + n^{3} \log\left(d x + c\right)^{4} - 4 \, n^{2} \log\left(b x + a\right)^{3} \log\left(e\right) + 6 \, n \log\left(b x + a\right)^{2} \log\left(e\right)^{2} - 4 \, {\left(n^{3} \log\left(b x + a\right) - n^{2} \log\left(e\right)\right)} \log\left(d x + c\right)^{3} - 4 \, {\left(\log\left(b x + a\right) - \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right)^{3} + 4 \, {\left(\log\left(b x + a\right) - \log\left(d x + c\right)\right)} \log\left({\left(d x + c\right)}^{n}\right)^{3} - 4 \, \log\left(b x + a\right) \log\left(e\right)^{3} + 6 \, {\left(n^{3} \log\left(b x + a\right)^{2} - 2 \, n^{2} \log\left(b x + a\right) \log\left(e\right) + n \log\left(e\right)^{2}\right)} \log\left(d x + c\right)^{2} + 6 \, {\left(n \log\left(b x + a\right)^{2} + n \log\left(d x + c\right)^{2} - 2 \, {\left(n \log\left(b x + a\right) - \log\left(e\right)\right)} \log\left(d x + c\right) - 2 \, \log\left(b x + a\right) \log\left(e\right)\right)} \log\left({\left(b x + a\right)}^{n}\right)^{2} + 6 \, {\left(n \log\left(b x + a\right)^{2} + n \log\left(d x + c\right)^{2} - 2 \, {\left(n \log\left(b x + a\right) - \log\left(e\right)\right)} \log\left(d x + c\right) - 2 \, {\left(\log\left(b x + a\right) - \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right) - 2 \, \log\left(b x + a\right) \log\left(e\right)\right)} \log\left({\left(d x + c\right)}^{n}\right)^{2} - 4 \, {\left(n^{3} \log\left(b x + a\right)^{3} - 3 \, n^{2} \log\left(b x + a\right)^{2} \log\left(e\right) + 3 \, n \log\left(b x + a\right) \log\left(e\right)^{2} - \log\left(e\right)^{3}\right)} \log\left(d x + c\right) - 4 \, {\left(n^{2} \log\left(b x + a\right)^{3} - n^{2} \log\left(d x + c\right)^{3} - 3 \, n \log\left(b x + a\right)^{2} \log\left(e\right) + 3 \, {\left(n^{2} \log\left(b x + a\right) - n \log\left(e\right)\right)} \log\left(d x + c\right)^{2} + 3 \, \log\left(b x + a\right) \log\left(e\right)^{2} - 3 \, {\left(n^{2} \log\left(b x + a\right)^{2} - 2 \, n \log\left(b x + a\right) \log\left(e\right) + \log\left(e\right)^{2}\right)} \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right) + 4 \, {\left(n^{2} \log\left(b x + a\right)^{3} - n^{2} \log\left(d x + c\right)^{3} - 3 \, n \log\left(b x + a\right)^{2} \log\left(e\right) + 3 \, {\left(n^{2} \log\left(b x + a\right) - n \log\left(e\right)\right)} \log\left(d x + c\right)^{2} + 3 \, {\left(\log\left(b x + a\right) - \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right)^{2} + 3 \, \log\left(b x + a\right) \log\left(e\right)^{2} - 3 \, {\left(n^{2} \log\left(b x + a\right)^{2} - 2 \, n \log\left(b x + a\right) \log\left(e\right) + \log\left(e\right)^{2}\right)} \log\left(d x + c\right) - 3 \, {\left(n \log\left(b x + a\right)^{2} + n \log\left(d x + c\right)^{2} - 2 \, {\left(n \log\left(b x + a\right) - \log\left(e\right)\right)} \log\left(d x + c\right) - 2 \, \log\left(b x + a\right) \log\left(e\right)\right)} \log\left({\left(b x + a\right)}^{n}\right)\right)} \log\left({\left(d x + c\right)}^{n}\right)\right)} \log\left({\left(g x + f\right)}^{m}\right)}{4 \, {\left(b c - a d\right)}} + \int \frac{4 \, b c f \log\left(e\right)^{3} \log\left(h\right) - 4 \, a d f \log\left(e\right)^{3} \log\left(h\right) + {\left(b d g m n^{3} x^{2} + a c g m n^{3} + {\left(b c g m n^{3} + a d g m n^{3}\right)} x\right)} \log\left(b x + a\right)^{4} + {\left(b d g m n^{3} x^{2} + a c g m n^{3} + {\left(b c g m n^{3} + a d g m n^{3}\right)} x\right)} \log\left(d x + c\right)^{4} - 4 \, {\left(b d g m n^{2} x^{2} \log\left(e\right) + a c g m n^{2} \log\left(e\right) + {\left(b c g m n^{2} \log\left(e\right) + a d g m n^{2} \log\left(e\right)\right)} x\right)} \log\left(b x + a\right)^{3} + 4 \, {\left(b d g m n^{2} x^{2} \log\left(e\right) + a c g m n^{2} \log\left(e\right) + {\left(b c g m n^{2} \log\left(e\right) + a d g m n^{2} \log\left(e\right)\right)} x - {\left(b d g m n^{3} x^{2} + a c g m n^{3} + {\left(b c g m n^{3} + a d g m n^{3}\right)} x\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right)^{3} + 4 \, {\left(b c f \log\left(h\right) - a d f \log\left(h\right) + {\left(b c g \log\left(h\right) - a d g \log\left(h\right)\right)} x - {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(b x + a\right) + {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right)^{3} - 4 \, {\left(b c f \log\left(h\right) - a d f \log\left(h\right) + {\left(b c g \log\left(h\right) - a d g \log\left(h\right)\right)} x - {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(b x + a\right) + {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(d x + c\right)\right)} \log\left({\left(d x + c\right)}^{n}\right)^{3} + 6 \, {\left(b d g m n x^{2} \log\left(e\right)^{2} + a c g m n \log\left(e\right)^{2} + {\left(b c g m n \log\left(e\right)^{2} + a d g m n \log\left(e\right)^{2}\right)} x\right)} \log\left(b x + a\right)^{2} + 6 \, {\left(b d g m n x^{2} \log\left(e\right)^{2} + a c g m n \log\left(e\right)^{2} + {\left(b d g m n^{3} x^{2} + a c g m n^{3} + {\left(b c g m n^{3} + a d g m n^{3}\right)} x\right)} \log\left(b x + a\right)^{2} + {\left(b c g m n \log\left(e\right)^{2} + a d g m n \log\left(e\right)^{2}\right)} x - 2 \, {\left(b d g m n^{2} x^{2} \log\left(e\right) + a c g m n^{2} \log\left(e\right) + {\left(b c g m n^{2} \log\left(e\right) + a d g m n^{2} \log\left(e\right)\right)} x\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right)^{2} + 6 \, {\left(2 \, b c f \log\left(e\right) \log\left(h\right) - 2 \, a d f \log\left(e\right) \log\left(h\right) + {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(b x + a\right)^{2} + {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(d x + c\right)^{2} + 2 \, {\left(b c g \log\left(e\right) \log\left(h\right) - a d g \log\left(e\right) \log\left(h\right)\right)} x - 2 \, {\left(b d g m x^{2} \log\left(e\right) + a c g m \log\left(e\right) + {\left(b c g m \log\left(e\right) + a d g m \log\left(e\right)\right)} x\right)} \log\left(b x + a\right) + 2 \, {\left(b d g m x^{2} \log\left(e\right) + a c g m \log\left(e\right) + {\left(b c g m \log\left(e\right) + a d g m \log\left(e\right)\right)} x - {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right)^{2} + 6 \, {\left(2 \, b c f \log\left(e\right) \log\left(h\right) - 2 \, a d f \log\left(e\right) \log\left(h\right) + {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(b x + a\right)^{2} + {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(d x + c\right)^{2} + 2 \, {\left(b c g \log\left(e\right) \log\left(h\right) - a d g \log\left(e\right) \log\left(h\right)\right)} x - 2 \, {\left(b d g m x^{2} \log\left(e\right) + a c g m \log\left(e\right) + {\left(b c g m \log\left(e\right) + a d g m \log\left(e\right)\right)} x\right)} \log\left(b x + a\right) + 2 \, {\left(b d g m x^{2} \log\left(e\right) + a c g m \log\left(e\right) + {\left(b c g m \log\left(e\right) + a d g m \log\left(e\right)\right)} x - {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right) + 2 \, {\left(b c f \log\left(h\right) - a d f \log\left(h\right) + {\left(b c g \log\left(h\right) - a d g \log\left(h\right)\right)} x - {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(b x + a\right) + {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right)\right)} \log\left({\left(d x + c\right)}^{n}\right)^{2} + 4 \, {\left(b c g \log\left(e\right)^{3} \log\left(h\right) - a d g \log\left(e\right)^{3} \log\left(h\right)\right)} x - 4 \, {\left(b d g m x^{2} \log\left(e\right)^{3} + a c g m \log\left(e\right)^{3} + {\left(b c g m \log\left(e\right)^{3} + a d g m \log\left(e\right)^{3}\right)} x\right)} \log\left(b x + a\right) + 4 \, {\left(b d g m x^{2} \log\left(e\right)^{3} + a c g m \log\left(e\right)^{3} - {\left(b d g m n^{3} x^{2} + a c g m n^{3} + {\left(b c g m n^{3} + a d g m n^{3}\right)} x\right)} \log\left(b x + a\right)^{3} + 3 \, {\left(b d g m n^{2} x^{2} \log\left(e\right) + a c g m n^{2} \log\left(e\right) + {\left(b c g m n^{2} \log\left(e\right) + a d g m n^{2} \log\left(e\right)\right)} x\right)} \log\left(b x + a\right)^{2} + {\left(b c g m \log\left(e\right)^{3} + a d g m \log\left(e\right)^{3}\right)} x - 3 \, {\left(b d g m n x^{2} \log\left(e\right)^{2} + a c g m n \log\left(e\right)^{2} + {\left(b c g m n \log\left(e\right)^{2} + a d g m n \log\left(e\right)^{2}\right)} x\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right) + 4 \, {\left(3 \, b c f \log\left(e\right)^{2} \log\left(h\right) - 3 \, a d f \log\left(e\right)^{2} \log\left(h\right) - {\left(b d g m n^{2} x^{2} + a c g m n^{2} + {\left(b c g m n^{2} + a d g m n^{2}\right)} x\right)} \log\left(b x + a\right)^{3} + {\left(b d g m n^{2} x^{2} + a c g m n^{2} + {\left(b c g m n^{2} + a d g m n^{2}\right)} x\right)} \log\left(d x + c\right)^{3} + 3 \, {\left(b d g m n x^{2} \log\left(e\right) + a c g m n \log\left(e\right) + {\left(b c g m n \log\left(e\right) + a d g m n \log\left(e\right)\right)} x\right)} \log\left(b x + a\right)^{2} + 3 \, {\left(b d g m n x^{2} \log\left(e\right) + a c g m n \log\left(e\right) + {\left(b c g m n \log\left(e\right) + a d g m n \log\left(e\right)\right)} x - {\left(b d g m n^{2} x^{2} + a c g m n^{2} + {\left(b c g m n^{2} + a d g m n^{2}\right)} x\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right)^{2} + 3 \, {\left(b c g \log\left(e\right)^{2} \log\left(h\right) - a d g \log\left(e\right)^{2} \log\left(h\right)\right)} x - 3 \, {\left(b d g m x^{2} \log\left(e\right)^{2} + a c g m \log\left(e\right)^{2} + {\left(b c g m \log\left(e\right)^{2} + a d g m \log\left(e\right)^{2}\right)} x\right)} \log\left(b x + a\right) + 3 \, {\left(b d g m x^{2} \log\left(e\right)^{2} + a c g m \log\left(e\right)^{2} + {\left(b d g m n^{2} x^{2} + a c g m n^{2} + {\left(b c g m n^{2} + a d g m n^{2}\right)} x\right)} \log\left(b x + a\right)^{2} + {\left(b c g m \log\left(e\right)^{2} + a d g m \log\left(e\right)^{2}\right)} x - 2 \, {\left(b d g m n x^{2} \log\left(e\right) + a c g m n \log\left(e\right) + {\left(b c g m n \log\left(e\right) + a d g m n \log\left(e\right)\right)} x\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right) - 4 \, {\left(3 \, b c f \log\left(e\right)^{2} \log\left(h\right) - 3 \, a d f \log\left(e\right)^{2} \log\left(h\right) - {\left(b d g m n^{2} x^{2} + a c g m n^{2} + {\left(b c g m n^{2} + a d g m n^{2}\right)} x\right)} \log\left(b x + a\right)^{3} + {\left(b d g m n^{2} x^{2} + a c g m n^{2} + {\left(b c g m n^{2} + a d g m n^{2}\right)} x\right)} \log\left(d x + c\right)^{3} + 3 \, {\left(b d g m n x^{2} \log\left(e\right) + a c g m n \log\left(e\right) + {\left(b c g m n \log\left(e\right) + a d g m n \log\left(e\right)\right)} x\right)} \log\left(b x + a\right)^{2} + 3 \, {\left(b d g m n x^{2} \log\left(e\right) + a c g m n \log\left(e\right) + {\left(b c g m n \log\left(e\right) + a d g m n \log\left(e\right)\right)} x - {\left(b d g m n^{2} x^{2} + a c g m n^{2} + {\left(b c g m n^{2} + a d g m n^{2}\right)} x\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right)^{2} + 3 \, {\left(b c f \log\left(h\right) - a d f \log\left(h\right) + {\left(b c g \log\left(h\right) - a d g \log\left(h\right)\right)} x - {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(b x + a\right) + {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right)^{2} + 3 \, {\left(b c g \log\left(e\right)^{2} \log\left(h\right) - a d g \log\left(e\right)^{2} \log\left(h\right)\right)} x - 3 \, {\left(b d g m x^{2} \log\left(e\right)^{2} + a c g m \log\left(e\right)^{2} + {\left(b c g m \log\left(e\right)^{2} + a d g m \log\left(e\right)^{2}\right)} x\right)} \log\left(b x + a\right) + 3 \, {\left(b d g m x^{2} \log\left(e\right)^{2} + a c g m \log\left(e\right)^{2} + {\left(b d g m n^{2} x^{2} + a c g m n^{2} + {\left(b c g m n^{2} + a d g m n^{2}\right)} x\right)} \log\left(b x + a\right)^{2} + {\left(b c g m \log\left(e\right)^{2} + a d g m \log\left(e\right)^{2}\right)} x - 2 \, {\left(b d g m n x^{2} \log\left(e\right) + a c g m n \log\left(e\right) + {\left(b c g m n \log\left(e\right) + a d g m n \log\left(e\right)\right)} x\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right) + 3 \, {\left(2 \, b c f \log\left(e\right) \log\left(h\right) - 2 \, a d f \log\left(e\right) \log\left(h\right) + {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(b x + a\right)^{2} + {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(d x + c\right)^{2} + 2 \, {\left(b c g \log\left(e\right) \log\left(h\right) - a d g \log\left(e\right) \log\left(h\right)\right)} x - 2 \, {\left(b d g m x^{2} \log\left(e\right) + a c g m \log\left(e\right) + {\left(b c g m \log\left(e\right) + a d g m \log\left(e\right)\right)} x\right)} \log\left(b x + a\right) + 2 \, {\left(b d g m x^{2} \log\left(e\right) + a c g m \log\left(e\right) + {\left(b c g m \log\left(e\right) + a d g m \log\left(e\right)\right)} x - {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right)\right)} \log\left({\left(d x + c\right)}^{n}\right)}{4 \, {\left(a b c^{2} f - a^{2} c d f + {\left(b^{2} c d g - a b d^{2} g\right)} x^{3} - {\left(a b d^{2} f + a^{2} d^{2} g - {\left(c d f + c^{2} g\right)} b^{2}\right)} x^{2} + {\left(b^{2} c^{2} f + a b c^{2} g - {\left(d^{2} f + c d g\right)} a^{2}\right)} x\right)}}\,{d x}"," ",0,"-1/4*(n^3*log(b*x + a)^4 + n^3*log(d*x + c)^4 - 4*n^2*log(b*x + a)^3*log(e) + 6*n*log(b*x + a)^2*log(e)^2 - 4*(n^3*log(b*x + a) - n^2*log(e))*log(d*x + c)^3 - 4*(log(b*x + a) - log(d*x + c))*log((b*x + a)^n)^3 + 4*(log(b*x + a) - log(d*x + c))*log((d*x + c)^n)^3 - 4*log(b*x + a)*log(e)^3 + 6*(n^3*log(b*x + a)^2 - 2*n^2*log(b*x + a)*log(e) + n*log(e)^2)*log(d*x + c)^2 + 6*(n*log(b*x + a)^2 + n*log(d*x + c)^2 - 2*(n*log(b*x + a) - log(e))*log(d*x + c) - 2*log(b*x + a)*log(e))*log((b*x + a)^n)^2 + 6*(n*log(b*x + a)^2 + n*log(d*x + c)^2 - 2*(n*log(b*x + a) - log(e))*log(d*x + c) - 2*(log(b*x + a) - log(d*x + c))*log((b*x + a)^n) - 2*log(b*x + a)*log(e))*log((d*x + c)^n)^2 - 4*(n^3*log(b*x + a)^3 - 3*n^2*log(b*x + a)^2*log(e) + 3*n*log(b*x + a)*log(e)^2 - log(e)^3)*log(d*x + c) - 4*(n^2*log(b*x + a)^3 - n^2*log(d*x + c)^3 - 3*n*log(b*x + a)^2*log(e) + 3*(n^2*log(b*x + a) - n*log(e))*log(d*x + c)^2 + 3*log(b*x + a)*log(e)^2 - 3*(n^2*log(b*x + a)^2 - 2*n*log(b*x + a)*log(e) + log(e)^2)*log(d*x + c))*log((b*x + a)^n) + 4*(n^2*log(b*x + a)^3 - n^2*log(d*x + c)^3 - 3*n*log(b*x + a)^2*log(e) + 3*(n^2*log(b*x + a) - n*log(e))*log(d*x + c)^2 + 3*(log(b*x + a) - log(d*x + c))*log((b*x + a)^n)^2 + 3*log(b*x + a)*log(e)^2 - 3*(n^2*log(b*x + a)^2 - 2*n*log(b*x + a)*log(e) + log(e)^2)*log(d*x + c) - 3*(n*log(b*x + a)^2 + n*log(d*x + c)^2 - 2*(n*log(b*x + a) - log(e))*log(d*x + c) - 2*log(b*x + a)*log(e))*log((b*x + a)^n))*log((d*x + c)^n))*log((g*x + f)^m)/(b*c - a*d) + integrate(1/4*(4*b*c*f*log(e)^3*log(h) - 4*a*d*f*log(e)^3*log(h) + (b*d*g*m*n^3*x^2 + a*c*g*m*n^3 + (b*c*g*m*n^3 + a*d*g*m*n^3)*x)*log(b*x + a)^4 + (b*d*g*m*n^3*x^2 + a*c*g*m*n^3 + (b*c*g*m*n^3 + a*d*g*m*n^3)*x)*log(d*x + c)^4 - 4*(b*d*g*m*n^2*x^2*log(e) + a*c*g*m*n^2*log(e) + (b*c*g*m*n^2*log(e) + a*d*g*m*n^2*log(e))*x)*log(b*x + a)^3 + 4*(b*d*g*m*n^2*x^2*log(e) + a*c*g*m*n^2*log(e) + (b*c*g*m*n^2*log(e) + a*d*g*m*n^2*log(e))*x - (b*d*g*m*n^3*x^2 + a*c*g*m*n^3 + (b*c*g*m*n^3 + a*d*g*m*n^3)*x)*log(b*x + a))*log(d*x + c)^3 + 4*(b*c*f*log(h) - a*d*f*log(h) + (b*c*g*log(h) - a*d*g*log(h))*x - (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(b*x + a) + (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(d*x + c))*log((b*x + a)^n)^3 - 4*(b*c*f*log(h) - a*d*f*log(h) + (b*c*g*log(h) - a*d*g*log(h))*x - (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(b*x + a) + (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(d*x + c))*log((d*x + c)^n)^3 + 6*(b*d*g*m*n*x^2*log(e)^2 + a*c*g*m*n*log(e)^2 + (b*c*g*m*n*log(e)^2 + a*d*g*m*n*log(e)^2)*x)*log(b*x + a)^2 + 6*(b*d*g*m*n*x^2*log(e)^2 + a*c*g*m*n*log(e)^2 + (b*d*g*m*n^3*x^2 + a*c*g*m*n^3 + (b*c*g*m*n^3 + a*d*g*m*n^3)*x)*log(b*x + a)^2 + (b*c*g*m*n*log(e)^2 + a*d*g*m*n*log(e)^2)*x - 2*(b*d*g*m*n^2*x^2*log(e) + a*c*g*m*n^2*log(e) + (b*c*g*m*n^2*log(e) + a*d*g*m*n^2*log(e))*x)*log(b*x + a))*log(d*x + c)^2 + 6*(2*b*c*f*log(e)*log(h) - 2*a*d*f*log(e)*log(h) + (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(b*x + a)^2 + (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(d*x + c)^2 + 2*(b*c*g*log(e)*log(h) - a*d*g*log(e)*log(h))*x - 2*(b*d*g*m*x^2*log(e) + a*c*g*m*log(e) + (b*c*g*m*log(e) + a*d*g*m*log(e))*x)*log(b*x + a) + 2*(b*d*g*m*x^2*log(e) + a*c*g*m*log(e) + (b*c*g*m*log(e) + a*d*g*m*log(e))*x - (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(b*x + a))*log(d*x + c))*log((b*x + a)^n)^2 + 6*(2*b*c*f*log(e)*log(h) - 2*a*d*f*log(e)*log(h) + (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(b*x + a)^2 + (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(d*x + c)^2 + 2*(b*c*g*log(e)*log(h) - a*d*g*log(e)*log(h))*x - 2*(b*d*g*m*x^2*log(e) + a*c*g*m*log(e) + (b*c*g*m*log(e) + a*d*g*m*log(e))*x)*log(b*x + a) + 2*(b*d*g*m*x^2*log(e) + a*c*g*m*log(e) + (b*c*g*m*log(e) + a*d*g*m*log(e))*x - (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(b*x + a))*log(d*x + c) + 2*(b*c*f*log(h) - a*d*f*log(h) + (b*c*g*log(h) - a*d*g*log(h))*x - (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(b*x + a) + (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(d*x + c))*log((b*x + a)^n))*log((d*x + c)^n)^2 + 4*(b*c*g*log(e)^3*log(h) - a*d*g*log(e)^3*log(h))*x - 4*(b*d*g*m*x^2*log(e)^3 + a*c*g*m*log(e)^3 + (b*c*g*m*log(e)^3 + a*d*g*m*log(e)^3)*x)*log(b*x + a) + 4*(b*d*g*m*x^2*log(e)^3 + a*c*g*m*log(e)^3 - (b*d*g*m*n^3*x^2 + a*c*g*m*n^3 + (b*c*g*m*n^3 + a*d*g*m*n^3)*x)*log(b*x + a)^3 + 3*(b*d*g*m*n^2*x^2*log(e) + a*c*g*m*n^2*log(e) + (b*c*g*m*n^2*log(e) + a*d*g*m*n^2*log(e))*x)*log(b*x + a)^2 + (b*c*g*m*log(e)^3 + a*d*g*m*log(e)^3)*x - 3*(b*d*g*m*n*x^2*log(e)^2 + a*c*g*m*n*log(e)^2 + (b*c*g*m*n*log(e)^2 + a*d*g*m*n*log(e)^2)*x)*log(b*x + a))*log(d*x + c) + 4*(3*b*c*f*log(e)^2*log(h) - 3*a*d*f*log(e)^2*log(h) - (b*d*g*m*n^2*x^2 + a*c*g*m*n^2 + (b*c*g*m*n^2 + a*d*g*m*n^2)*x)*log(b*x + a)^3 + (b*d*g*m*n^2*x^2 + a*c*g*m*n^2 + (b*c*g*m*n^2 + a*d*g*m*n^2)*x)*log(d*x + c)^3 + 3*(b*d*g*m*n*x^2*log(e) + a*c*g*m*n*log(e) + (b*c*g*m*n*log(e) + a*d*g*m*n*log(e))*x)*log(b*x + a)^2 + 3*(b*d*g*m*n*x^2*log(e) + a*c*g*m*n*log(e) + (b*c*g*m*n*log(e) + a*d*g*m*n*log(e))*x - (b*d*g*m*n^2*x^2 + a*c*g*m*n^2 + (b*c*g*m*n^2 + a*d*g*m*n^2)*x)*log(b*x + a))*log(d*x + c)^2 + 3*(b*c*g*log(e)^2*log(h) - a*d*g*log(e)^2*log(h))*x - 3*(b*d*g*m*x^2*log(e)^2 + a*c*g*m*log(e)^2 + (b*c*g*m*log(e)^2 + a*d*g*m*log(e)^2)*x)*log(b*x + a) + 3*(b*d*g*m*x^2*log(e)^2 + a*c*g*m*log(e)^2 + (b*d*g*m*n^2*x^2 + a*c*g*m*n^2 + (b*c*g*m*n^2 + a*d*g*m*n^2)*x)*log(b*x + a)^2 + (b*c*g*m*log(e)^2 + a*d*g*m*log(e)^2)*x - 2*(b*d*g*m*n*x^2*log(e) + a*c*g*m*n*log(e) + (b*c*g*m*n*log(e) + a*d*g*m*n*log(e))*x)*log(b*x + a))*log(d*x + c))*log((b*x + a)^n) - 4*(3*b*c*f*log(e)^2*log(h) - 3*a*d*f*log(e)^2*log(h) - (b*d*g*m*n^2*x^2 + a*c*g*m*n^2 + (b*c*g*m*n^2 + a*d*g*m*n^2)*x)*log(b*x + a)^3 + (b*d*g*m*n^2*x^2 + a*c*g*m*n^2 + (b*c*g*m*n^2 + a*d*g*m*n^2)*x)*log(d*x + c)^3 + 3*(b*d*g*m*n*x^2*log(e) + a*c*g*m*n*log(e) + (b*c*g*m*n*log(e) + a*d*g*m*n*log(e))*x)*log(b*x + a)^2 + 3*(b*d*g*m*n*x^2*log(e) + a*c*g*m*n*log(e) + (b*c*g*m*n*log(e) + a*d*g*m*n*log(e))*x - (b*d*g*m*n^2*x^2 + a*c*g*m*n^2 + (b*c*g*m*n^2 + a*d*g*m*n^2)*x)*log(b*x + a))*log(d*x + c)^2 + 3*(b*c*f*log(h) - a*d*f*log(h) + (b*c*g*log(h) - a*d*g*log(h))*x - (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(b*x + a) + (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(d*x + c))*log((b*x + a)^n)^2 + 3*(b*c*g*log(e)^2*log(h) - a*d*g*log(e)^2*log(h))*x - 3*(b*d*g*m*x^2*log(e)^2 + a*c*g*m*log(e)^2 + (b*c*g*m*log(e)^2 + a*d*g*m*log(e)^2)*x)*log(b*x + a) + 3*(b*d*g*m*x^2*log(e)^2 + a*c*g*m*log(e)^2 + (b*d*g*m*n^2*x^2 + a*c*g*m*n^2 + (b*c*g*m*n^2 + a*d*g*m*n^2)*x)*log(b*x + a)^2 + (b*c*g*m*log(e)^2 + a*d*g*m*log(e)^2)*x - 2*(b*d*g*m*n*x^2*log(e) + a*c*g*m*n*log(e) + (b*c*g*m*n*log(e) + a*d*g*m*n*log(e))*x)*log(b*x + a))*log(d*x + c) + 3*(2*b*c*f*log(e)*log(h) - 2*a*d*f*log(e)*log(h) + (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(b*x + a)^2 + (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(d*x + c)^2 + 2*(b*c*g*log(e)*log(h) - a*d*g*log(e)*log(h))*x - 2*(b*d*g*m*x^2*log(e) + a*c*g*m*log(e) + (b*c*g*m*log(e) + a*d*g*m*log(e))*x)*log(b*x + a) + 2*(b*d*g*m*x^2*log(e) + a*c*g*m*log(e) + (b*c*g*m*log(e) + a*d*g*m*log(e))*x - (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(b*x + a))*log(d*x + c))*log((b*x + a)^n))*log((d*x + c)^n))/(a*b*c^2*f - a^2*c*d*f + (b^2*c*d*g - a*b*d^2*g)*x^3 - (a*b*d^2*f + a^2*d^2*g - (c*d*f + c^2*g)*b^2)*x^2 + (b^2*c^2*f + a*b*c^2*g - (d^2*f + c*d*g)*a^2)*x), x)","F",0
68,0,0,0,0.000000," ","integrate(log(e*((b*x+a)/(d*x+c))^n)^2*log(h*(g*x+f)^m)/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\frac{{\left(n^{2} \log\left(b x + a\right)^{3} - n^{2} \log\left(d x + c\right)^{3} - 3 \, n \log\left(b x + a\right)^{2} \log\left(e\right) + 3 \, {\left(n^{2} \log\left(b x + a\right) - n \log\left(e\right)\right)} \log\left(d x + c\right)^{2} + 3 \, {\left(\log\left(b x + a\right) - \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right)^{2} + 3 \, {\left(\log\left(b x + a\right) - \log\left(d x + c\right)\right)} \log\left({\left(d x + c\right)}^{n}\right)^{2} + 3 \, \log\left(b x + a\right) \log\left(e\right)^{2} - 3 \, {\left(n^{2} \log\left(b x + a\right)^{2} - 2 \, n \log\left(b x + a\right) \log\left(e\right) + \log\left(e\right)^{2}\right)} \log\left(d x + c\right) - 3 \, {\left(n \log\left(b x + a\right)^{2} + n \log\left(d x + c\right)^{2} - 2 \, {\left(n \log\left(b x + a\right) - \log\left(e\right)\right)} \log\left(d x + c\right) - 2 \, \log\left(b x + a\right) \log\left(e\right)\right)} \log\left({\left(b x + a\right)}^{n}\right) + 3 \, {\left(n \log\left(b x + a\right)^{2} + n \log\left(d x + c\right)^{2} - 2 \, {\left(n \log\left(b x + a\right) - \log\left(e\right)\right)} \log\left(d x + c\right) - 2 \, {\left(\log\left(b x + a\right) - \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right) - 2 \, \log\left(b x + a\right) \log\left(e\right)\right)} \log\left({\left(d x + c\right)}^{n}\right)\right)} \log\left({\left(g x + f\right)}^{m}\right)}{3 \, {\left(b c - a d\right)}} - \int -\frac{3 \, b c f \log\left(e\right)^{2} \log\left(h\right) - 3 \, a d f \log\left(e\right)^{2} \log\left(h\right) - {\left(b d g m n^{2} x^{2} + a c g m n^{2} + {\left(b c g m n^{2} + a d g m n^{2}\right)} x\right)} \log\left(b x + a\right)^{3} + {\left(b d g m n^{2} x^{2} + a c g m n^{2} + {\left(b c g m n^{2} + a d g m n^{2}\right)} x\right)} \log\left(d x + c\right)^{3} + 3 \, {\left(b d g m n x^{2} \log\left(e\right) + a c g m n \log\left(e\right) + {\left(b c g m n \log\left(e\right) + a d g m n \log\left(e\right)\right)} x\right)} \log\left(b x + a\right)^{2} + 3 \, {\left(b d g m n x^{2} \log\left(e\right) + a c g m n \log\left(e\right) + {\left(b c g m n \log\left(e\right) + a d g m n \log\left(e\right)\right)} x - {\left(b d g m n^{2} x^{2} + a c g m n^{2} + {\left(b c g m n^{2} + a d g m n^{2}\right)} x\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right)^{2} + 3 \, {\left(b c f \log\left(h\right) - a d f \log\left(h\right) + {\left(b c g \log\left(h\right) - a d g \log\left(h\right)\right)} x - {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(b x + a\right) + {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right)^{2} + 3 \, {\left(b c f \log\left(h\right) - a d f \log\left(h\right) + {\left(b c g \log\left(h\right) - a d g \log\left(h\right)\right)} x - {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(b x + a\right) + {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(d x + c\right)\right)} \log\left({\left(d x + c\right)}^{n}\right)^{2} + 3 \, {\left(b c g \log\left(e\right)^{2} \log\left(h\right) - a d g \log\left(e\right)^{2} \log\left(h\right)\right)} x - 3 \, {\left(b d g m x^{2} \log\left(e\right)^{2} + a c g m \log\left(e\right)^{2} + {\left(b c g m \log\left(e\right)^{2} + a d g m \log\left(e\right)^{2}\right)} x\right)} \log\left(b x + a\right) + 3 \, {\left(b d g m x^{2} \log\left(e\right)^{2} + a c g m \log\left(e\right)^{2} + {\left(b d g m n^{2} x^{2} + a c g m n^{2} + {\left(b c g m n^{2} + a d g m n^{2}\right)} x\right)} \log\left(b x + a\right)^{2} + {\left(b c g m \log\left(e\right)^{2} + a d g m \log\left(e\right)^{2}\right)} x - 2 \, {\left(b d g m n x^{2} \log\left(e\right) + a c g m n \log\left(e\right) + {\left(b c g m n \log\left(e\right) + a d g m n \log\left(e\right)\right)} x\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right) + 3 \, {\left(2 \, b c f \log\left(e\right) \log\left(h\right) - 2 \, a d f \log\left(e\right) \log\left(h\right) + {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(b x + a\right)^{2} + {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(d x + c\right)^{2} + 2 \, {\left(b c g \log\left(e\right) \log\left(h\right) - a d g \log\left(e\right) \log\left(h\right)\right)} x - 2 \, {\left(b d g m x^{2} \log\left(e\right) + a c g m \log\left(e\right) + {\left(b c g m \log\left(e\right) + a d g m \log\left(e\right)\right)} x\right)} \log\left(b x + a\right) + 2 \, {\left(b d g m x^{2} \log\left(e\right) + a c g m \log\left(e\right) + {\left(b c g m \log\left(e\right) + a d g m \log\left(e\right)\right)} x - {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right) - 3 \, {\left(2 \, b c f \log\left(e\right) \log\left(h\right) - 2 \, a d f \log\left(e\right) \log\left(h\right) + {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(b x + a\right)^{2} + {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(d x + c\right)^{2} + 2 \, {\left(b c g \log\left(e\right) \log\left(h\right) - a d g \log\left(e\right) \log\left(h\right)\right)} x - 2 \, {\left(b d g m x^{2} \log\left(e\right) + a c g m \log\left(e\right) + {\left(b c g m \log\left(e\right) + a d g m \log\left(e\right)\right)} x\right)} \log\left(b x + a\right) + 2 \, {\left(b d g m x^{2} \log\left(e\right) + a c g m \log\left(e\right) + {\left(b c g m \log\left(e\right) + a d g m \log\left(e\right)\right)} x - {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right) + 2 \, {\left(b c f \log\left(h\right) - a d f \log\left(h\right) + {\left(b c g \log\left(h\right) - a d g \log\left(h\right)\right)} x - {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(b x + a\right) + {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right)\right)} \log\left({\left(d x + c\right)}^{n}\right)}{3 \, {\left(a b c^{2} f - a^{2} c d f + {\left(b^{2} c d g - a b d^{2} g\right)} x^{3} - {\left(a b d^{2} f + a^{2} d^{2} g - {\left(c d f + c^{2} g\right)} b^{2}\right)} x^{2} + {\left(b^{2} c^{2} f + a b c^{2} g - {\left(d^{2} f + c d g\right)} a^{2}\right)} x\right)}}\,{d x}"," ",0,"1/3*(n^2*log(b*x + a)^3 - n^2*log(d*x + c)^3 - 3*n*log(b*x + a)^2*log(e) + 3*(n^2*log(b*x + a) - n*log(e))*log(d*x + c)^2 + 3*(log(b*x + a) - log(d*x + c))*log((b*x + a)^n)^2 + 3*(log(b*x + a) - log(d*x + c))*log((d*x + c)^n)^2 + 3*log(b*x + a)*log(e)^2 - 3*(n^2*log(b*x + a)^2 - 2*n*log(b*x + a)*log(e) + log(e)^2)*log(d*x + c) - 3*(n*log(b*x + a)^2 + n*log(d*x + c)^2 - 2*(n*log(b*x + a) - log(e))*log(d*x + c) - 2*log(b*x + a)*log(e))*log((b*x + a)^n) + 3*(n*log(b*x + a)^2 + n*log(d*x + c)^2 - 2*(n*log(b*x + a) - log(e))*log(d*x + c) - 2*(log(b*x + a) - log(d*x + c))*log((b*x + a)^n) - 2*log(b*x + a)*log(e))*log((d*x + c)^n))*log((g*x + f)^m)/(b*c - a*d) - integrate(-1/3*(3*b*c*f*log(e)^2*log(h) - 3*a*d*f*log(e)^2*log(h) - (b*d*g*m*n^2*x^2 + a*c*g*m*n^2 + (b*c*g*m*n^2 + a*d*g*m*n^2)*x)*log(b*x + a)^3 + (b*d*g*m*n^2*x^2 + a*c*g*m*n^2 + (b*c*g*m*n^2 + a*d*g*m*n^2)*x)*log(d*x + c)^3 + 3*(b*d*g*m*n*x^2*log(e) + a*c*g*m*n*log(e) + (b*c*g*m*n*log(e) + a*d*g*m*n*log(e))*x)*log(b*x + a)^2 + 3*(b*d*g*m*n*x^2*log(e) + a*c*g*m*n*log(e) + (b*c*g*m*n*log(e) + a*d*g*m*n*log(e))*x - (b*d*g*m*n^2*x^2 + a*c*g*m*n^2 + (b*c*g*m*n^2 + a*d*g*m*n^2)*x)*log(b*x + a))*log(d*x + c)^2 + 3*(b*c*f*log(h) - a*d*f*log(h) + (b*c*g*log(h) - a*d*g*log(h))*x - (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(b*x + a) + (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(d*x + c))*log((b*x + a)^n)^2 + 3*(b*c*f*log(h) - a*d*f*log(h) + (b*c*g*log(h) - a*d*g*log(h))*x - (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(b*x + a) + (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(d*x + c))*log((d*x + c)^n)^2 + 3*(b*c*g*log(e)^2*log(h) - a*d*g*log(e)^2*log(h))*x - 3*(b*d*g*m*x^2*log(e)^2 + a*c*g*m*log(e)^2 + (b*c*g*m*log(e)^2 + a*d*g*m*log(e)^2)*x)*log(b*x + a) + 3*(b*d*g*m*x^2*log(e)^2 + a*c*g*m*log(e)^2 + (b*d*g*m*n^2*x^2 + a*c*g*m*n^2 + (b*c*g*m*n^2 + a*d*g*m*n^2)*x)*log(b*x + a)^2 + (b*c*g*m*log(e)^2 + a*d*g*m*log(e)^2)*x - 2*(b*d*g*m*n*x^2*log(e) + a*c*g*m*n*log(e) + (b*c*g*m*n*log(e) + a*d*g*m*n*log(e))*x)*log(b*x + a))*log(d*x + c) + 3*(2*b*c*f*log(e)*log(h) - 2*a*d*f*log(e)*log(h) + (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(b*x + a)^2 + (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(d*x + c)^2 + 2*(b*c*g*log(e)*log(h) - a*d*g*log(e)*log(h))*x - 2*(b*d*g*m*x^2*log(e) + a*c*g*m*log(e) + (b*c*g*m*log(e) + a*d*g*m*log(e))*x)*log(b*x + a) + 2*(b*d*g*m*x^2*log(e) + a*c*g*m*log(e) + (b*c*g*m*log(e) + a*d*g*m*log(e))*x - (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(b*x + a))*log(d*x + c))*log((b*x + a)^n) - 3*(2*b*c*f*log(e)*log(h) - 2*a*d*f*log(e)*log(h) + (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(b*x + a)^2 + (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(d*x + c)^2 + 2*(b*c*g*log(e)*log(h) - a*d*g*log(e)*log(h))*x - 2*(b*d*g*m*x^2*log(e) + a*c*g*m*log(e) + (b*c*g*m*log(e) + a*d*g*m*log(e))*x)*log(b*x + a) + 2*(b*d*g*m*x^2*log(e) + a*c*g*m*log(e) + (b*c*g*m*log(e) + a*d*g*m*log(e))*x - (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(b*x + a))*log(d*x + c) + 2*(b*c*f*log(h) - a*d*f*log(h) + (b*c*g*log(h) - a*d*g*log(h))*x - (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(b*x + a) + (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(d*x + c))*log((b*x + a)^n))*log((d*x + c)^n))/(a*b*c^2*f - a^2*c*d*f + (b^2*c*d*g - a*b*d^2*g)*x^3 - (a*b*d^2*f + a^2*d^2*g - (c*d*f + c^2*g)*b^2)*x^2 + (b^2*c^2*f + a*b*c^2*g - (d^2*f + c*d*g)*a^2)*x), x)","F",0
69,0,0,0,0.000000," ","integrate(log(e*((b*x+a)/(d*x+c))^n)*log(h*(g*x+f)^m)/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","-\frac{{\left(n \log\left(b x + a\right)^{2} + n \log\left(d x + c\right)^{2} - 2 \, {\left(n \log\left(b x + a\right) - \log\left(e\right)\right)} \log\left(d x + c\right) - 2 \, {\left(\log\left(b x + a\right) - \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right) + 2 \, {\left(\log\left(b x + a\right) - \log\left(d x + c\right)\right)} \log\left({\left(d x + c\right)}^{n}\right) - 2 \, \log\left(b x + a\right) \log\left(e\right)\right)} \log\left({\left(g x + f\right)}^{m}\right)}{2 \, {\left(b c - a d\right)}} + \int \frac{2 \, b c f \log\left(e\right) \log\left(h\right) - 2 \, a d f \log\left(e\right) \log\left(h\right) + {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(b x + a\right)^{2} + {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(d x + c\right)^{2} + 2 \, {\left(b c g \log\left(e\right) \log\left(h\right) - a d g \log\left(e\right) \log\left(h\right)\right)} x - 2 \, {\left(b d g m x^{2} \log\left(e\right) + a c g m \log\left(e\right) + {\left(b c g m \log\left(e\right) + a d g m \log\left(e\right)\right)} x\right)} \log\left(b x + a\right) + 2 \, {\left(b d g m x^{2} \log\left(e\right) + a c g m \log\left(e\right) + {\left(b c g m \log\left(e\right) + a d g m \log\left(e\right)\right)} x - {\left(b d g m n x^{2} + a c g m n + {\left(b c g m n + a d g m n\right)} x\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right) + 2 \, {\left(b c f \log\left(h\right) - a d f \log\left(h\right) + {\left(b c g \log\left(h\right) - a d g \log\left(h\right)\right)} x - {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(b x + a\right) + {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(d x + c\right)\right)} \log\left({\left(b x + a\right)}^{n}\right) - 2 \, {\left(b c f \log\left(h\right) - a d f \log\left(h\right) + {\left(b c g \log\left(h\right) - a d g \log\left(h\right)\right)} x - {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(b x + a\right) + {\left(b d g m x^{2} + a c g m + {\left(b c g m + a d g m\right)} x\right)} \log\left(d x + c\right)\right)} \log\left({\left(d x + c\right)}^{n}\right)}{2 \, {\left(a b c^{2} f - a^{2} c d f + {\left(b^{2} c d g - a b d^{2} g\right)} x^{3} - {\left(a b d^{2} f + a^{2} d^{2} g - {\left(c d f + c^{2} g\right)} b^{2}\right)} x^{2} + {\left(b^{2} c^{2} f + a b c^{2} g - {\left(d^{2} f + c d g\right)} a^{2}\right)} x\right)}}\,{d x}"," ",0,"-1/2*(n*log(b*x + a)^2 + n*log(d*x + c)^2 - 2*(n*log(b*x + a) - log(e))*log(d*x + c) - 2*(log(b*x + a) - log(d*x + c))*log((b*x + a)^n) + 2*(log(b*x + a) - log(d*x + c))*log((d*x + c)^n) - 2*log(b*x + a)*log(e))*log((g*x + f)^m)/(b*c - a*d) + integrate(1/2*(2*b*c*f*log(e)*log(h) - 2*a*d*f*log(e)*log(h) + (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(b*x + a)^2 + (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(d*x + c)^2 + 2*(b*c*g*log(e)*log(h) - a*d*g*log(e)*log(h))*x - 2*(b*d*g*m*x^2*log(e) + a*c*g*m*log(e) + (b*c*g*m*log(e) + a*d*g*m*log(e))*x)*log(b*x + a) + 2*(b*d*g*m*x^2*log(e) + a*c*g*m*log(e) + (b*c*g*m*log(e) + a*d*g*m*log(e))*x - (b*d*g*m*n*x^2 + a*c*g*m*n + (b*c*g*m*n + a*d*g*m*n)*x)*log(b*x + a))*log(d*x + c) + 2*(b*c*f*log(h) - a*d*f*log(h) + (b*c*g*log(h) - a*d*g*log(h))*x - (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(b*x + a) + (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(d*x + c))*log((b*x + a)^n) - 2*(b*c*f*log(h) - a*d*f*log(h) + (b*c*g*log(h) - a*d*g*log(h))*x - (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(b*x + a) + (b*d*g*m*x^2 + a*c*g*m + (b*c*g*m + a*d*g*m)*x)*log(d*x + c))*log((d*x + c)^n))/(a*b*c^2*f - a^2*c*d*f + (b^2*c*d*g - a*b*d^2*g)*x^3 - (a*b*d^2*f + a^2*d^2*g - (c*d*f + c^2*g)*b^2)*x^2 + (b^2*c^2*f + a*b*c^2*g - (d^2*f + c*d*g)*a^2)*x), x)","F",0
70,0,0,0,0.000000," ","integrate(log(h*(g*x+f)^m)/(b*x+a)/(d*x+c)/log(e*((b*x+a)/(d*x+c))^n),x, algorithm=""maxima"")","\int \frac{\log\left({\left(g x + f\right)}^{m} h\right)}{{\left(b x + a\right)} {\left(d x + c\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}\,{d x}"," ",0,"integrate(log((g*x + f)^m*h)/((b*x + a)*(d*x + c)*log(e*((b*x + a)/(d*x + c))^n)), x)","F",0
71,0,0,0,0.000000," ","integrate(log(h*(g*x+f)^m)/(b*x+a)/(d*x+c)/log(e*((b*x+a)/(d*x+c))^n)^2,x, algorithm=""maxima"")","g m \int \frac{1}{b c f n \log\left(e\right) - a d f n \log\left(e\right) + {\left(b c g n \log\left(e\right) - a d g n \log\left(e\right)\right)} x + {\left(b c f n - a d f n + {\left(b c g n - a d g n\right)} x\right)} \log\left({\left(b x + a\right)}^{n}\right) - {\left(b c f n - a d f n + {\left(b c g n - a d g n\right)} x\right)} \log\left({\left(d x + c\right)}^{n}\right)}\,{d x} - \frac{\log\left({\left(g x + f\right)}^{m}\right) + \log\left(h\right)}{b c n \log\left(e\right) - a d n \log\left(e\right) + {\left(b c n - a d n\right)} \log\left({\left(b x + a\right)}^{n}\right) - {\left(b c n - a d n\right)} \log\left({\left(d x + c\right)}^{n}\right)}"," ",0,"g*m*integrate(1/(b*c*f*n*log(e) - a*d*f*n*log(e) + (b*c*g*n*log(e) - a*d*g*n*log(e))*x + (b*c*f*n - a*d*f*n + (b*c*g*n - a*d*g*n)*x)*log((b*x + a)^n) - (b*c*f*n - a*d*f*n + (b*c*g*n - a*d*g*n)*x)*log((d*x + c)^n)), x) - (log((g*x + f)^m) + log(h))/(b*c*n*log(e) - a*d*n*log(e) + (b*c*n - a*d*n)*log((b*x + a)^n) - (b*c*n - a*d*n)*log((d*x + c)^n))","F",0
72,0,0,0,0.000000," ","integrate(log(1+(-b*x-a)/(d*x+c))/(b*x+a)/(d*x+c)/log((b*x+a)/(d*x+c))^2,x, algorithm=""maxima"")","-\frac{\log\left(-{\left(b - d\right)} x - a + c\right) - \log\left(b x + a\right)}{{\left(b c - a d\right)} \log\left(b x + a\right) - {\left(b c - a d\right)} \log\left(d x + c\right)} - \int -\frac{1}{{\left({\left(b d - d^{2}\right)} x^{2} + a c - c^{2} + {\left(b c + a d - 2 \, c d\right)} x\right)} \log\left(b x + a\right) - {\left({\left(b d - d^{2}\right)} x^{2} + a c - c^{2} + {\left(b c + a d - 2 \, c d\right)} x\right)} \log\left(d x + c\right)}\,{d x}"," ",0,"-(log(-(b - d)*x - a + c) - log(b*x + a))/((b*c - a*d)*log(b*x + a) - (b*c - a*d)*log(d*x + c)) - integrate(-1/(((b*d - d^2)*x^2 + a*c - c^2 + (b*c + a*d - 2*c*d)*x)*log(b*x + a) - ((b*d - d^2)*x^2 + a*c - c^2 + (b*c + a*d - 2*c*d)*x)*log(d*x + c)), x)","F",0
73,0,0,0,0.000000," ","integrate(log(1+(-d*x-c)/(b*x+a))/(b*x+a)/(d*x+c)/log((b*x+a)/(d*x+c))^2,x, algorithm=""maxima"")","-\frac{\log\left({\left(b - d\right)} x + a - c\right) - \log\left(b x + a\right)}{{\left(b c - a d\right)} \log\left(b x + a\right) - {\left(b c - a d\right)} \log\left(d x + c\right)} - \int -\frac{1}{{\left({\left(b^{2} - b d\right)} x^{2} + a^{2} - a c + {\left(a {\left(2 \, b - d\right)} - b c\right)} x\right)} \log\left(b x + a\right) - {\left({\left(b^{2} - b d\right)} x^{2} + a^{2} - a c + {\left(a {\left(2 \, b - d\right)} - b c\right)} x\right)} \log\left(d x + c\right)}\,{d x}"," ",0,"-(log((b - d)*x + a - c) - log(b*x + a))/((b*c - a*d)*log(b*x + a) - (b*c - a*d)*log(d*x + c)) - integrate(-1/(((b^2 - b*d)*x^2 + a^2 - a*c + (a*(2*b - d) - b*c)*x)*log(b*x + a) - ((b^2 - b*d)*x^2 + a^2 - a*c + (a*(2*b - d) - b*c)*x)*log(d*x + c)), x)","F",0
74,1,59,0,1.022007," ","integrate(1/(d*x+c)/(-a+c+(-b+d)*x)/log((b*x+a)/(d*x+c))+log(1+(-b*x-a)/(d*x+c))/(b*x+a)/(d*x+c)/log((b*x+a)/(d*x+c))^2,x, algorithm=""maxima"")","-\frac{\log\left(-{\left(b - d\right)} x - a + c\right) - \log\left(b x + a\right)}{{\left(b c - a d\right)} \log\left(b x + a\right) - {\left(b c - a d\right)} \log\left(d x + c\right)}"," ",0,"-(log(-(b - d)*x - a + c) - log(b*x + a))/((b*c - a*d)*log(b*x + a) - (b*c - a*d)*log(d*x + c))","A",0
75,1,58,0,1.308210," ","integrate(-1/(b*x+a)/(a-c+(b-d)*x)/log((b*x+a)/(d*x+c))+log(1+(-d*x-c)/(b*x+a))/(b*x+a)/(d*x+c)/log((b*x+a)/(d*x+c))^2,x, algorithm=""maxima"")","-\frac{\log\left({\left(b - d\right)} x + a - c\right) - \log\left(b x + a\right)}{{\left(b c - a d\right)} \log\left(b x + a\right) - {\left(b c - a d\right)} \log\left(d x + c\right)}"," ",0,"-(log((b - d)*x + a - c) - log(b*x + a))/((b*c - a*d)*log(b*x + a) - (b*c - a*d)*log(d*x + c))","A",0
76,0,0,0,0.000000," ","integrate(x^3*log(e*((b*x+a)/(d*x+c))^n)/(-g*x^2+f),x, algorithm=""maxima"")","-\int \frac{x^{3} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}{g x^{2} - f}\,{d x}"," ",0,"-integrate(x^3*log(e*((b*x + a)/(d*x + c))^n)/(g*x^2 - f), x)","F",0
77,1,1047,0,2.214481," ","integrate(x^2*log(e*((b*x+a)/(d*x+c))^n)/(-g*x^2+f),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(2 \, b c {\left(\frac{c^{2}}{{\left(b c d^{3} - a d^{4}\right)} g x + {\left(b c^{2} d^{2} - a c d^{3}\right)} g} + \frac{a^{2} \log\left(b x + a\right)}{{\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} g} + \frac{{\left(b c^{2} - 2 \, a c d\right)} \log\left(d x + c\right)}{{\left(b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}\right)} g}\right)} d - 2 \, {\left(\frac{c^{3}}{{\left(b c d^{4} - a d^{5}\right)} g x + {\left(b c^{2} d^{3} - a c d^{4}\right)} g} + \frac{a^{3} \log\left(b x + a\right)}{{\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} g} + \frac{{\left(2 \, b c^{3} - 3 \, a c^{2} d\right)} \log\left(d x + c\right)}{{\left(b^{2} c^{2} d^{3} - 2 \, a b c d^{4} + a^{2} d^{5}\right)} g} - \frac{x}{b d^{2} g}\right)} b d^{2} + 2 \, a {\left(\frac{c^{2}}{{\left(b c d^{3} - a d^{4}\right)} g x + {\left(b c^{2} d^{2} - a c d^{3}\right)} g} + \frac{a^{2} \log\left(b x + a\right)}{{\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} g} + \frac{{\left(b c^{2} - 2 \, a c d\right)} \log\left(d x + c\right)}{{\left(b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}\right)} g}\right)} d^{2} - 2 \, a c d {\left(\frac{c}{{\left(b c d^{2} - a d^{3}\right)} g x + {\left(b c^{2} d - a c d^{2}\right)} g} + \frac{a \log\left(b x + a\right)}{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} g} - \frac{a \log\left(d x + c\right)}{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} g}\right)} - 2 \, b d {\left(\frac{a^{2} \log\left(b x + a\right)}{{\left(b^{3} c - a b^{2} d\right)} g} - \frac{c^{2} \log\left(d x + c\right)}{{\left(b c d^{2} - a d^{3}\right)} g} + \frac{x}{b d g}\right)} + 2 \, b c {\left(\frac{a \log\left(b x + a\right)}{{\left(b^{2} c - a b d\right)} g} - \frac{c \log\left(d x + c\right)}{{\left(b c d - a d^{2}\right)} g}\right)} - \frac{{\left(\log\left(\sqrt{g} x - \sqrt{f}\right) \log\left(\frac{b \sqrt{g} x - b \sqrt{f}}{b \sqrt{f} + a \sqrt{g}} + 1\right) + {\rm Li}_2\left(-\frac{b \sqrt{g} x - b \sqrt{f}}{b \sqrt{f} + a \sqrt{g}}\right)\right)} \sqrt{f}}{g^{\frac{3}{2}}} + \frac{{\left(\log\left(\sqrt{g} x + \sqrt{f}\right) \log\left(-\frac{b \sqrt{g} x + b \sqrt{f}}{b \sqrt{f} - a \sqrt{g}} + 1\right) + {\rm Li}_2\left(\frac{b \sqrt{g} x + b \sqrt{f}}{b \sqrt{f} - a \sqrt{g}}\right)\right)} \sqrt{f}}{g^{\frac{3}{2}}} + \frac{{\left(\log\left(\sqrt{g} x - \sqrt{f}\right) \log\left(\frac{d \sqrt{g} x - d \sqrt{f}}{d \sqrt{f} + c \sqrt{g}} + 1\right) + {\rm Li}_2\left(-\frac{d \sqrt{g} x - d \sqrt{f}}{d \sqrt{f} + c \sqrt{g}}\right)\right)} \sqrt{f}}{g^{\frac{3}{2}}} - \frac{{\left(\log\left(\sqrt{g} x + \sqrt{f}\right) \log\left(-\frac{d \sqrt{g} x + d \sqrt{f}}{d \sqrt{f} - c \sqrt{g}} + 1\right) + {\rm Li}_2\left(\frac{d \sqrt{g} x + d \sqrt{f}}{d \sqrt{f} - c \sqrt{g}}\right)\right)} \sqrt{f}}{g^{\frac{3}{2}}}\right)} n - \frac{1}{2} \, {\left(\frac{f \log\left(\frac{g x - \sqrt{f g}}{g x + \sqrt{f g}}\right)}{\sqrt{f g} g} + \frac{2 \, x}{g}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)"," ",0,"-1/2*(2*b*c*(c^2/((b*c*d^3 - a*d^4)*g*x + (b*c^2*d^2 - a*c*d^3)*g) + a^2*log(b*x + a)/((b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*g) + (b*c^2 - 2*a*c*d)*log(d*x + c)/((b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4)*g))*d - 2*(c^3/((b*c*d^4 - a*d^5)*g*x + (b*c^2*d^3 - a*c*d^4)*g) + a^3*log(b*x + a)/((b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*g) + (2*b*c^3 - 3*a*c^2*d)*log(d*x + c)/((b^2*c^2*d^3 - 2*a*b*c*d^4 + a^2*d^5)*g) - x/(b*d^2*g))*b*d^2 + 2*a*(c^2/((b*c*d^3 - a*d^4)*g*x + (b*c^2*d^2 - a*c*d^3)*g) + a^2*log(b*x + a)/((b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*g) + (b*c^2 - 2*a*c*d)*log(d*x + c)/((b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4)*g))*d^2 - 2*a*c*d*(c/((b*c*d^2 - a*d^3)*g*x + (b*c^2*d - a*c*d^2)*g) + a*log(b*x + a)/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*g) - a*log(d*x + c)/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*g)) - 2*b*d*(a^2*log(b*x + a)/((b^3*c - a*b^2*d)*g) - c^2*log(d*x + c)/((b*c*d^2 - a*d^3)*g) + x/(b*d*g)) + 2*b*c*(a*log(b*x + a)/((b^2*c - a*b*d)*g) - c*log(d*x + c)/((b*c*d - a*d^2)*g)) - (log(sqrt(g)*x - sqrt(f))*log((b*sqrt(g)*x - b*sqrt(f))/(b*sqrt(f) + a*sqrt(g)) + 1) + dilog(-(b*sqrt(g)*x - b*sqrt(f))/(b*sqrt(f) + a*sqrt(g))))*sqrt(f)/g^(3/2) + (log(sqrt(g)*x + sqrt(f))*log(-(b*sqrt(g)*x + b*sqrt(f))/(b*sqrt(f) - a*sqrt(g)) + 1) + dilog((b*sqrt(g)*x + b*sqrt(f))/(b*sqrt(f) - a*sqrt(g))))*sqrt(f)/g^(3/2) + (log(sqrt(g)*x - sqrt(f))*log((d*sqrt(g)*x - d*sqrt(f))/(d*sqrt(f) + c*sqrt(g)) + 1) + dilog(-(d*sqrt(g)*x - d*sqrt(f))/(d*sqrt(f) + c*sqrt(g))))*sqrt(f)/g^(3/2) - (log(sqrt(g)*x + sqrt(f))*log(-(d*sqrt(g)*x + d*sqrt(f))/(d*sqrt(f) - c*sqrt(g)) + 1) + dilog((d*sqrt(g)*x + d*sqrt(f))/(d*sqrt(f) - c*sqrt(g))))*sqrt(f)/g^(3/2))*n - 1/2*(f*log((g*x - sqrt(f*g))/(g*x + sqrt(f*g)))/(sqrt(f*g)*g) + 2*x/g)*log(e*((b*x + a)/(d*x + c))^n)","B",0
78,0,0,0,0.000000," ","integrate(x*log(e*((b*x+a)/(d*x+c))^n)/(-g*x^2+f),x, algorithm=""maxima"")","-\int \frac{x \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}{g x^{2} - f}\,{d x}"," ",0,"-integrate(x*log(e*((b*x + a)/(d*x + c))^n)/(g*x^2 - f), x)","F",0
79,1,349,0,1.842788," ","integrate(log(e*((b*x+a)/(d*x+c))^n)/(-g*x^2+f),x, algorithm=""maxima"")","\frac{{\left(\log\left(\sqrt{g} x - \sqrt{f}\right) \log\left(\frac{b \sqrt{g} x - b \sqrt{f}}{b \sqrt{f} + a \sqrt{g}} + 1\right) - \log\left(\sqrt{g} x + \sqrt{f}\right) \log\left(-\frac{b \sqrt{g} x + b \sqrt{f}}{b \sqrt{f} - a \sqrt{g}} + 1\right) - \log\left(\sqrt{g} x - \sqrt{f}\right) \log\left(\frac{d \sqrt{g} x - d \sqrt{f}}{d \sqrt{f} + c \sqrt{g}} + 1\right) + \log\left(\sqrt{g} x + \sqrt{f}\right) \log\left(-\frac{d \sqrt{g} x + d \sqrt{f}}{d \sqrt{f} - c \sqrt{g}} + 1\right) + {\rm Li}_2\left(-\frac{b \sqrt{g} x - b \sqrt{f}}{b \sqrt{f} + a \sqrt{g}}\right) - {\rm Li}_2\left(\frac{b \sqrt{g} x + b \sqrt{f}}{b \sqrt{f} - a \sqrt{g}}\right) - {\rm Li}_2\left(-\frac{d \sqrt{g} x - d \sqrt{f}}{d \sqrt{f} + c \sqrt{g}}\right) + {\rm Li}_2\left(\frac{d \sqrt{g} x + d \sqrt{f}}{d \sqrt{f} - c \sqrt{g}}\right)\right)} n}{2 \, \sqrt{f g}} - \frac{\log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) \log\left(\frac{g x - \sqrt{f g}}{g x + \sqrt{f g}}\right)}{2 \, \sqrt{f g}}"," ",0,"1/2*(log(sqrt(g)*x - sqrt(f))*log((b*sqrt(g)*x - b*sqrt(f))/(b*sqrt(f) + a*sqrt(g)) + 1) - log(sqrt(g)*x + sqrt(f))*log(-(b*sqrt(g)*x + b*sqrt(f))/(b*sqrt(f) - a*sqrt(g)) + 1) - log(sqrt(g)*x - sqrt(f))*log((d*sqrt(g)*x - d*sqrt(f))/(d*sqrt(f) + c*sqrt(g)) + 1) + log(sqrt(g)*x + sqrt(f))*log(-(d*sqrt(g)*x + d*sqrt(f))/(d*sqrt(f) - c*sqrt(g)) + 1) + dilog(-(b*sqrt(g)*x - b*sqrt(f))/(b*sqrt(f) + a*sqrt(g))) - dilog((b*sqrt(g)*x + b*sqrt(f))/(b*sqrt(f) - a*sqrt(g))) - dilog(-(d*sqrt(g)*x - d*sqrt(f))/(d*sqrt(f) + c*sqrt(g))) + dilog((d*sqrt(g)*x + d*sqrt(f))/(d*sqrt(f) - c*sqrt(g))))*n/sqrt(f*g) - 1/2*log(e*((b*x + a)/(d*x + c))^n)*log((g*x - sqrt(f*g))/(g*x + sqrt(f*g)))/sqrt(f*g)","A",0
80,0,0,0,0.000000," ","integrate(log(e*((b*x+a)/(d*x+c))^n)/x/(-g*x^2+f),x, algorithm=""maxima"")","-\int \frac{\log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}{{\left(g x^{2} - f\right)} x}\,{d x}"," ",0,"-integrate(log(e*((b*x + a)/(d*x + c))^n)/((g*x^2 - f)*x), x)","F",0
81,1,969,0,2.375099," ","integrate(log(e*((b*x+a)/(d*x+c))^n)/x^2/(-g*x^2+f),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(2 \, a c d {\left(\frac{b^{2} \log\left(b x + a\right)}{{\left(a b^{2} c^{2} - 2 \, a^{2} b c d + a^{3} d^{2}\right)} f} + \frac{d}{{\left(b c^{2} d - a c d^{2}\right)} f x + {\left(b c^{3} - a c^{2} d\right)} f} - \frac{{\left(2 \, b c d - a d^{2}\right)} \log\left(d x + c\right)}{{\left(b^{2} c^{4} - 2 \, a b c^{3} d + a^{2} c^{2} d^{2}\right)} f} - \frac{\log\left(x\right)}{a c^{2} f}\right)} + 2 \, b d^{2} {\left(\frac{c}{{\left(b c d^{2} - a d^{3}\right)} f x + {\left(b c^{2} d - a c d^{2}\right)} f} + \frac{a \log\left(b x + a\right)}{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} f} - \frac{a \log\left(d x + c\right)}{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} f}\right)} - 2 \, b c d {\left(\frac{b \log\left(b x + a\right)}{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} f} - \frac{b \log\left(d x + c\right)}{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} f} + \frac{1}{{\left(b c d - a d^{2}\right)} f x + {\left(b c^{2} - a c d\right)} f}\right)} - 2 \, a d^{2} {\left(\frac{b \log\left(b x + a\right)}{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} f} - \frac{b \log\left(d x + c\right)}{{\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} f} + \frac{1}{{\left(b c d - a d^{2}\right)} f x + {\left(b c^{2} - a c d\right)} f}\right)} - 2 \, b c {\left(\frac{b \log\left(b x + a\right)}{{\left(a b c - a^{2} d\right)} f} - \frac{d \log\left(d x + c\right)}{{\left(b c^{2} - a c d\right)} f} - \frac{\log\left(x\right)}{a c f}\right)} + 2 \, b d {\left(\frac{\log\left(b x + a\right)}{{\left(b c - a d\right)} f} - \frac{\log\left(d x + c\right)}{{\left(b c - a d\right)} f}\right)} + \frac{{\left(\log\left(\sqrt{g} x - \sqrt{f}\right) \log\left(\frac{b \sqrt{g} x - b \sqrt{f}}{b \sqrt{f} + a \sqrt{g}} + 1\right) + {\rm Li}_2\left(-\frac{b \sqrt{g} x - b \sqrt{f}}{b \sqrt{f} + a \sqrt{g}}\right)\right)} \sqrt{g}}{f^{\frac{3}{2}}} - \frac{{\left(\log\left(\sqrt{g} x + \sqrt{f}\right) \log\left(-\frac{b \sqrt{g} x + b \sqrt{f}}{b \sqrt{f} - a \sqrt{g}} + 1\right) + {\rm Li}_2\left(\frac{b \sqrt{g} x + b \sqrt{f}}{b \sqrt{f} - a \sqrt{g}}\right)\right)} \sqrt{g}}{f^{\frac{3}{2}}} - \frac{{\left(\log\left(\sqrt{g} x - \sqrt{f}\right) \log\left(\frac{d \sqrt{g} x - d \sqrt{f}}{d \sqrt{f} + c \sqrt{g}} + 1\right) + {\rm Li}_2\left(-\frac{d \sqrt{g} x - d \sqrt{f}}{d \sqrt{f} + c \sqrt{g}}\right)\right)} \sqrt{g}}{f^{\frac{3}{2}}} + \frac{{\left(\log\left(\sqrt{g} x + \sqrt{f}\right) \log\left(-\frac{d \sqrt{g} x + d \sqrt{f}}{d \sqrt{f} - c \sqrt{g}} + 1\right) + {\rm Li}_2\left(\frac{d \sqrt{g} x + d \sqrt{f}}{d \sqrt{f} - c \sqrt{g}}\right)\right)} \sqrt{g}}{f^{\frac{3}{2}}}\right)} n - \frac{1}{2} \, {\left(\frac{g \log\left(\frac{g x - \sqrt{f g}}{g x + \sqrt{f g}}\right)}{\sqrt{f g} f} + \frac{2}{f x}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)"," ",0,"1/2*(2*a*c*d*(b^2*log(b*x + a)/((a*b^2*c^2 - 2*a^2*b*c*d + a^3*d^2)*f) + d/((b*c^2*d - a*c*d^2)*f*x + (b*c^3 - a*c^2*d)*f) - (2*b*c*d - a*d^2)*log(d*x + c)/((b^2*c^4 - 2*a*b*c^3*d + a^2*c^2*d^2)*f) - log(x)/(a*c^2*f)) + 2*b*d^2*(c/((b*c*d^2 - a*d^3)*f*x + (b*c^2*d - a*c*d^2)*f) + a*log(b*x + a)/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*f) - a*log(d*x + c)/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*f)) - 2*b*c*d*(b*log(b*x + a)/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*f) - b*log(d*x + c)/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*f) + 1/((b*c*d - a*d^2)*f*x + (b*c^2 - a*c*d)*f)) - 2*a*d^2*(b*log(b*x + a)/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*f) - b*log(d*x + c)/((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*f) + 1/((b*c*d - a*d^2)*f*x + (b*c^2 - a*c*d)*f)) - 2*b*c*(b*log(b*x + a)/((a*b*c - a^2*d)*f) - d*log(d*x + c)/((b*c^2 - a*c*d)*f) - log(x)/(a*c*f)) + 2*b*d*(log(b*x + a)/((b*c - a*d)*f) - log(d*x + c)/((b*c - a*d)*f)) + (log(sqrt(g)*x - sqrt(f))*log((b*sqrt(g)*x - b*sqrt(f))/(b*sqrt(f) + a*sqrt(g)) + 1) + dilog(-(b*sqrt(g)*x - b*sqrt(f))/(b*sqrt(f) + a*sqrt(g))))*sqrt(g)/f^(3/2) - (log(sqrt(g)*x + sqrt(f))*log(-(b*sqrt(g)*x + b*sqrt(f))/(b*sqrt(f) - a*sqrt(g)) + 1) + dilog((b*sqrt(g)*x + b*sqrt(f))/(b*sqrt(f) - a*sqrt(g))))*sqrt(g)/f^(3/2) - (log(sqrt(g)*x - sqrt(f))*log((d*sqrt(g)*x - d*sqrt(f))/(d*sqrt(f) + c*sqrt(g)) + 1) + dilog(-(d*sqrt(g)*x - d*sqrt(f))/(d*sqrt(f) + c*sqrt(g))))*sqrt(g)/f^(3/2) + (log(sqrt(g)*x + sqrt(f))*log(-(d*sqrt(g)*x + d*sqrt(f))/(d*sqrt(f) - c*sqrt(g)) + 1) + dilog((d*sqrt(g)*x + d*sqrt(f))/(d*sqrt(f) - c*sqrt(g))))*sqrt(g)/f^(3/2))*n - 1/2*(g*log((g*x - sqrt(f*g))/(g*x + sqrt(f*g)))/(sqrt(f*g)*f) + 2/(f*x))*log(e*((b*x + a)/(d*x + c))^n)","B",0
82,-2,0,0,0.000000," ","integrate(x^3*log(e*((b*x+a)/(d*x+c))^n)/(h*x^2+g*x+f),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*f*h-g^2>0)', see `assume?` for more details)Is 4*f*h-g^2 positive or negative?","F(-2)",0
83,-2,0,0,0.000000," ","integrate(x^2*log(e*((b*x+a)/(d*x+c))^n)/(h*x^2+g*x+f),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*f*h-g^2>0)', see `assume?` for more details)Is 4*f*h-g^2 positive or negative?","F(-2)",0
84,-2,0,0,0.000000," ","integrate(x*log(e*((b*x+a)/(d*x+c))^n)/(h*x^2+g*x+f),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*f*h-g^2>0)', see `assume?` for more details)Is 4*f*h-g^2 positive or negative?","F(-2)",0
85,-2,0,0,0.000000," ","integrate(log(e*((b*x+a)/(d*x+c))^n)/(h*x^2+g*x+f),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*f*h-g^2>0)', see `assume?` for more details)Is 4*f*h-g^2 positive or negative?","F(-2)",0
86,-2,0,0,0.000000," ","integrate(log(e*((b*x+a)/(d*x+c))^n)/x/(h*x^2+g*x+f),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*f*h-g^2>0)', see `assume?` for more details)Is 4*f*h-g^2 positive or negative?","F(-2)",0
87,-2,0,0,0.000000," ","integrate(log(e*((b*x+a)/(d*x+c))^n)/x^2/(h*x^2+g*x+f),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*f*h-g^2>0)', see `assume?` for more details)Is 4*f*h-g^2 positive or negative?","F(-2)",0
88,1,95,0,0.684297," ","integrate(log(c*x/(b*x+a))/(b*x+a),x, algorithm=""maxima"")","\frac{\log\left(b x + a\right) \log\left(\frac{c x}{b x + a}\right)}{b} - \frac{\frac{c \log\left(b x + a\right)^{2}}{b} - \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)} c}{b}}{2 \, c} + \frac{{\left(c \log\left(b x + a\right) - c \log\left(x\right)\right)} \log\left(b x + a\right)}{b c}"," ",0,"log(b*x + a)*log(c*x/(b*x + a))/b - 1/2*(c*log(b*x + a)^2/b - 2*(log(b*x/a + 1)*log(x) + dilog(-b*x/a))*c/b)/c + (c*log(b*x + a) - c*log(x))*log(b*x + a)/(b*c)","B",0
89,1,141,0,0.613175," ","integrate(log(c*x/(b*x+a))^2/x/(b*x+a),x, algorithm=""maxima"")","-{\left(\frac{\log\left(b x + a\right)}{a} - \frac{\log\left(x\right)}{a}\right)} \log\left(\frac{c x}{b x + a}\right)^{2} - \frac{{\left(c \log\left(b x + a\right)^{2} - 2 \, c \log\left(b x + a\right) \log\left(x\right) + c \log\left(x\right)^{2}\right)} \log\left(\frac{c x}{b x + a}\right)}{a c} - \frac{c^{2} \log\left(b x + a\right)^{3} - 3 \, c^{2} \log\left(b x + a\right)^{2} \log\left(x\right) + 3 \, c^{2} \log\left(b x + a\right) \log\left(x\right)^{2} - c^{2} \log\left(x\right)^{3}}{3 \, a c^{2}}"," ",0,"-(log(b*x + a)/a - log(x)/a)*log(c*x/(b*x + a))^2 - (c*log(b*x + a)^2 - 2*c*log(b*x + a)*log(x) + c*log(x)^2)*log(c*x/(b*x + a))/(a*c) - 1/3*(c^2*log(b*x + a)^3 - 3*c^2*log(b*x + a)^2*log(x) + 3*c^2*log(b*x + a)*log(x)^2 - c^2*log(x)^3)/(a*c^2)","B",0
90,0,0,0,0.000000," ","integrate(log(a/(b*x+a))*log(c*x/(b*x+a))^2/x/(b*x+a),x, algorithm=""maxima"")","\frac{\log\left(b x + a\right)^{4} - 4 \, \log\left(b x + a\right)^{3} \log\left(x\right)}{4 \, a} + \int \frac{a \log\left(a\right) \log\left(c\right)^{2} + 2 \, a \log\left(a\right) \log\left(c\right) \log\left(x\right) + a \log\left(a\right) \log\left(x\right)^{2} + {\left(a {\left(\log\left(a\right) + 2 \, \log\left(c\right)\right)} + {\left(3 \, b x + 2 \, a\right)} \log\left(x\right)\right)} \log\left(b x + a\right)^{2} - {\left(2 \, a {\left(\log\left(a\right) + \log\left(c\right)\right)} \log\left(x\right) + a \log\left(x\right)^{2} + {\left(2 \, \log\left(a\right) \log\left(c\right) + \log\left(c\right)^{2}\right)} a\right)} \log\left(b x + a\right)}{a b x^{2} + a^{2} x}\,{d x}"," ",0,"1/4*(log(b*x + a)^4 - 4*log(b*x + a)^3*log(x))/a + integrate((a*log(a)*log(c)^2 + 2*a*log(a)*log(c)*log(x) + a*log(a)*log(x)^2 + (a*(log(a) + 2*log(c)) + (3*b*x + 2*a)*log(x))*log(b*x + a)^2 - (2*a*(log(a) + log(c))*log(x) + a*log(x)^2 + (2*log(a)*log(c) + log(c)^2)*a)*log(b*x + a))/(a*b*x^2 + a^2*x), x)","F",0
91,0,0,0,0.000000," ","integrate(log((-a*d+b*c)/b/(d*x+c))*log(e*(b*x+a)/(d*x+c))^2/(d*x+c)/(b*g*x+a*g),x, algorithm=""maxima"")","-\frac{4 \, \log\left(b x + a\right) \log\left(d x + c\right)^{3} - \log\left(d x + c\right)^{4}}{4 \, {\left(b c g - a d g\right)}} - \int \frac{{\left({\left(d \log\left(b c - a d\right) - d \log\left(b\right)\right)} a - {\left(c \log\left(b c - a d\right) - c \log\left(b\right)\right)} b\right)} \log\left(b x + a\right)^{2} + {\left({\left(d \log\left(b c - a d\right) - d \log\left(b\right) + 2 \, d \log\left(e\right)\right)} a - {\left(c {\left(\log\left(b c - a d\right) + 2 \, \log\left(e\right)\right)} - c \log\left(b\right)\right)} b - {\left(3 \, b d x + 2 \, b c + a d\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right)^{2} + {\left(d \log\left(b c - a d\right) \log\left(e\right)^{2} - d \log\left(b\right) \log\left(e\right)^{2}\right)} a - {\left(c \log\left(b c - a d\right) \log\left(e\right)^{2} - c \log\left(b\right) \log\left(e\right)^{2}\right)} b + 2 \, {\left({\left(d \log\left(b c - a d\right) \log\left(e\right) - d \log\left(b\right) \log\left(e\right)\right)} a - {\left(c \log\left(b c - a d\right) \log\left(e\right) - c \log\left(b\right) \log\left(e\right)\right)} b\right)} \log\left(b x + a\right) + {\left({\left(b c - a d\right)} \log\left(b x + a\right)^{2} - {\left(2 \, d \log\left(b c - a d\right) \log\left(e\right) - 2 \, d \log\left(b\right) \log\left(e\right) + d \log\left(e\right)^{2}\right)} a - {\left(2 \, c \log\left(b\right) \log\left(e\right) - {\left(2 \, \log\left(b c - a d\right) \log\left(e\right) + \log\left(e\right)^{2}\right)} c\right)} b - 2 \, {\left({\left(d \log\left(b c - a d\right) - d \log\left(b\right) + d \log\left(e\right)\right)} a - {\left(c {\left(\log\left(b c - a d\right) + \log\left(e\right)\right)} - c \log\left(b\right)\right)} b\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right)}{a b c^{2} g - a^{2} c d g + {\left(b^{2} c d g - a b d^{2} g\right)} x^{2} + {\left(b^{2} c^{2} g - a^{2} d^{2} g\right)} x}\,{d x}"," ",0,"-1/4*(4*log(b*x + a)*log(d*x + c)^3 - log(d*x + c)^4)/(b*c*g - a*d*g) - integrate((((d*log(b*c - a*d) - d*log(b))*a - (c*log(b*c - a*d) - c*log(b))*b)*log(b*x + a)^2 + ((d*log(b*c - a*d) - d*log(b) + 2*d*log(e))*a - (c*(log(b*c - a*d) + 2*log(e)) - c*log(b))*b - (3*b*d*x + 2*b*c + a*d)*log(b*x + a))*log(d*x + c)^2 + (d*log(b*c - a*d)*log(e)^2 - d*log(b)*log(e)^2)*a - (c*log(b*c - a*d)*log(e)^2 - c*log(b)*log(e)^2)*b + 2*((d*log(b*c - a*d)*log(e) - d*log(b)*log(e))*a - (c*log(b*c - a*d)*log(e) - c*log(b)*log(e))*b)*log(b*x + a) + ((b*c - a*d)*log(b*x + a)^2 - (2*d*log(b*c - a*d)*log(e) - 2*d*log(b)*log(e) + d*log(e)^2)*a - (2*c*log(b)*log(e) - (2*log(b*c - a*d)*log(e) + log(e)^2)*c)*b - 2*((d*log(b*c - a*d) - d*log(b) + d*log(e))*a - (c*(log(b*c - a*d) + log(e)) - c*log(b))*b)*log(b*x + a))*log(d*x + c))/(a*b*c^2*g - a^2*c*d*g + (b^2*c*d*g - a*b*d^2*g)*x^2 + (b^2*c^2*g - a^2*d^2*g)*x), x)","F",0
92,0,0,0,0.000000," ","integrate(log(e*((b*x+a)/(d*x+c))^n)^2*log((-a*d+b*c)/b/(d*x+c))/(d*x+c)/(b*g*x+a*g),x, algorithm=""maxima"")","\int \frac{\log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} \log\left(\frac{b c - a d}{{\left(d x + c\right)} b}\right)}{{\left(b g x + a g\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(log(e*((b*x + a)/(d*x + c))^n)^2*log((b*c - a*d)/((d*x + c)*b))/((b*g*x + a*g)*(d*x + c)), x)","F",0
93,1,25,0,0.631109," ","integrate(log(c*(a*x+b)/x),x, algorithm=""maxima"")","x \log\left(\frac{{\left(a x + b\right)} c}{x}\right) + \frac{b \log\left(a x + b\right)}{a}"," ",0,"x*log((a*x + b)*c/x) + b*log(a*x + b)/a","A",0
94,1,113,0,0.660654," ","integrate(log(c*(a*x+b)/x)^2,x, algorithm=""maxima"")","x \log\left(\frac{{\left(a x + b\right)} c}{x}\right)^{2} + \frac{2 \, b \log\left(a x + b\right) \log\left(\frac{{\left(a x + b\right)} c}{x}\right)}{a} + \frac{{\left(\frac{c \log\left(a x + b\right)^{2}}{a} - \frac{2 \, {\left(\log\left(\frac{a x}{b} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{a x}{b}\right)\right)} c}{a}\right)} b - \frac{2 \, {\left(c \log\left(a x + b\right) - c \log\left(x\right)\right)} b \log\left(a x + b\right)}{a}}{c}"," ",0,"x*log((a*x + b)*c/x)^2 + 2*b*log(a*x + b)*log((a*x + b)*c/x)/a + ((c*log(a*x + b)^2/a - 2*(log(a*x/b + 1)*log(x) + dilog(-a*x/b))*c/a)*b - 2*(c*log(a*x + b) - c*log(x))*b*log(a*x + b)/a)/c","A",0
95,0,0,0,0.000000," ","integrate(log(c*(a*x+b)/x)^3,x, algorithm=""maxima"")","\frac{{\left(a x + b\right)} \log\left(a x + b\right)^{3} + 3 \, {\left(a x \log\left(c\right) - a x \log\left(x\right)\right)} \log\left(a x + b\right)^{2}}{a} + \int \frac{a x \log\left(c\right)^{3} + b \log\left(c\right)^{3} - {\left(a x + b\right)} \log\left(x\right)^{3} + 3 \, {\left(a x \log\left(c\right) + b \log\left(c\right)\right)} \log\left(x\right)^{2} + 3 \, {\left({\left(\log\left(c\right)^{2} - 2 \, \log\left(c\right)\right)} a x + b \log\left(c\right)^{2} + {\left(a x + b\right)} \log\left(x\right)^{2} - 2 \, {\left(a x {\left(\log\left(c\right) - 1\right)} + b \log\left(c\right)\right)} \log\left(x\right)\right)} \log\left(a x + b\right) - 3 \, {\left(a x \log\left(c\right)^{2} + b \log\left(c\right)^{2}\right)} \log\left(x\right)}{a x + b}\,{d x}"," ",0,"((a*x + b)*log(a*x + b)^3 + 3*(a*x*log(c) - a*x*log(x))*log(a*x + b)^2)/a + integrate((a*x*log(c)^3 + b*log(c)^3 - (a*x + b)*log(x)^3 + 3*(a*x*log(c) + b*log(c))*log(x)^2 + 3*((log(c)^2 - 2*log(c))*a*x + b*log(c)^2 + (a*x + b)*log(x)^2 - 2*(a*x*(log(c) - 1) + b*log(c))*log(x))*log(a*x + b) - 3*(a*x*log(c)^2 + b*log(c)^2)*log(x))/(a*x + b), x)","F",0
96,1,28,0,0.988604," ","integrate(log(c*(a*x+b)^2/x^2),x, algorithm=""maxima"")","x \log\left(\frac{{\left(a x + b\right)}^{2} c}{x^{2}}\right) + \frac{2 \, b \log\left(a x + b\right)}{a}"," ",0,"x*log((a*x + b)^2*c/x^2) + 2*b*log(a*x + b)/a","A",0
97,1,118,0,1.050260," ","integrate(log(c*(a*x+b)^2/x^2)^2,x, algorithm=""maxima"")","x \log\left(\frac{{\left(a x + b\right)}^{2} c}{x^{2}}\right)^{2} + \frac{4 \, b \log\left(a x + b\right) \log\left(\frac{{\left(a x + b\right)}^{2} c}{x^{2}}\right)}{a} + \frac{4 \, {\left({\left(\frac{c \log\left(a x + b\right)^{2}}{a} - \frac{2 \, {\left(\log\left(\frac{a x}{b} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{a x}{b}\right)\right)} c}{a}\right)} b - \frac{2 \, {\left(c \log\left(a x + b\right) - c \log\left(x\right)\right)} b \log\left(a x + b\right)}{a}\right)}}{c}"," ",0,"x*log((a*x + b)^2*c/x^2)^2 + 4*b*log(a*x + b)*log((a*x + b)^2*c/x^2)/a + 4*((c*log(a*x + b)^2/a - 2*(log(a*x/b + 1)*log(x) + dilog(-a*x/b))*c/a)*b - 2*(c*log(a*x + b) - c*log(x))*b*log(a*x + b)/a)/c","A",0
98,0,0,0,0.000000," ","integrate(log(c*(a*x+b)^2/x^2)^3,x, algorithm=""maxima"")","\frac{4 \, {\left(2 \, {\left(a x + b\right)} \log\left(a x + b\right)^{3} + 3 \, {\left(a x \log\left(c\right) - 2 \, a x \log\left(x\right)\right)} \log\left(a x + b\right)^{2}\right)}}{a} + \int \frac{a x \log\left(c\right)^{3} + b \log\left(c\right)^{3} - 8 \, {\left(a x + b\right)} \log\left(x\right)^{3} + 12 \, {\left(a x \log\left(c\right) + b \log\left(c\right)\right)} \log\left(x\right)^{2} + 6 \, {\left({\left(\log\left(c\right)^{2} - 4 \, \log\left(c\right)\right)} a x + b \log\left(c\right)^{2} + 4 \, {\left(a x + b\right)} \log\left(x\right)^{2} - 4 \, {\left(a x {\left(\log\left(c\right) - 2\right)} + b \log\left(c\right)\right)} \log\left(x\right)\right)} \log\left(a x + b\right) - 6 \, {\left(a x \log\left(c\right)^{2} + b \log\left(c\right)^{2}\right)} \log\left(x\right)}{a x + b}\,{d x}"," ",0,"4*(2*(a*x + b)*log(a*x + b)^3 + 3*(a*x*log(c) - 2*a*x*log(x))*log(a*x + b)^2)/a + integrate((a*x*log(c)^3 + b*log(c)^3 - 8*(a*x + b)*log(x)^3 + 12*(a*x*log(c) + b*log(c))*log(x)^2 + 6*((log(c)^2 - 4*log(c))*a*x + b*log(c)^2 + 4*(a*x + b)*log(x)^2 - 4*(a*x*(log(c) - 2) + b*log(c))*log(x))*log(a*x + b) - 6*(a*x*log(c)^2 + b*log(c)^2)*log(x))/(a*x + b), x)","F",0
99,1,28,0,0.893451," ","integrate(log(c*x^2/(a*x+b)^2),x, algorithm=""maxima"")","x \log\left(\frac{c x^{2}}{{\left(a x + b\right)}^{2}}\right) - \frac{2 \, b \log\left(a x + b\right)}{a}"," ",0,"x*log(c*x^2/(a*x + b)^2) - 2*b*log(a*x + b)/a","A",0
100,1,118,0,1.117228," ","integrate(log(c*x^2/(a*x+b)^2)^2,x, algorithm=""maxima"")","x \log\left(\frac{c x^{2}}{{\left(a x + b\right)}^{2}}\right)^{2} - \frac{4 \, b \log\left(a x + b\right) \log\left(\frac{c x^{2}}{{\left(a x + b\right)}^{2}}\right)}{a} + \frac{4 \, {\left({\left(\frac{c \log\left(a x + b\right)^{2}}{a} - \frac{2 \, {\left(\log\left(\frac{a x}{b} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{a x}{b}\right)\right)} c}{a}\right)} b - \frac{2 \, {\left(c \log\left(a x + b\right) - c \log\left(x\right)\right)} b \log\left(a x + b\right)}{a}\right)}}{c}"," ",0,"x*log(c*x^2/(a*x + b)^2)^2 - 4*b*log(a*x + b)*log(c*x^2/(a*x + b)^2)/a + 4*((c*log(a*x + b)^2/a - 2*(log(a*x/b + 1)*log(x) + dilog(-a*x/b))*c/a)*b - 2*(c*log(a*x + b) - c*log(x))*b*log(a*x + b)/a)/c","A",0
101,0,0,0,0.000000," ","integrate(log(c*x^2/(a*x+b)^2)^3,x, algorithm=""maxima"")","-\frac{4 \, {\left(2 \, {\left(a x + b\right)} \log\left(a x + b\right)^{3} - 3 \, {\left(a x \log\left(c\right) + 2 \, a x \log\left(x\right)\right)} \log\left(a x + b\right)^{2}\right)}}{a} - \int -\frac{a x \log\left(c\right)^{3} + b \log\left(c\right)^{3} + 8 \, {\left(a x + b\right)} \log\left(x\right)^{3} + 12 \, {\left(a x \log\left(c\right) + b \log\left(c\right)\right)} \log\left(x\right)^{2} - 6 \, {\left({\left(\log\left(c\right)^{2} + 4 \, \log\left(c\right)\right)} a x + b \log\left(c\right)^{2} + 4 \, {\left(a x + b\right)} \log\left(x\right)^{2} + 4 \, {\left(a x {\left(\log\left(c\right) + 2\right)} + b \log\left(c\right)\right)} \log\left(x\right)\right)} \log\left(a x + b\right) + 6 \, {\left(a x \log\left(c\right)^{2} + b \log\left(c\right)^{2}\right)} \log\left(x\right)}{a x + b}\,{d x}"," ",0,"-4*(2*(a*x + b)*log(a*x + b)^3 - 3*(a*x*log(c) + 2*a*x*log(x))*log(a*x + b)^2)/a - integrate(-(a*x*log(c)^3 + b*log(c)^3 + 8*(a*x + b)*log(x)^3 + 12*(a*x*log(c) + b*log(c))*log(x)^2 - 6*((log(c)^2 + 4*log(c))*a*x + b*log(c)^2 + 4*(a*x + b)*log(x)^2 + 4*(a*x*(log(c) + 2) + b*log(c))*log(x))*log(a*x + b) + 6*(a*x*log(c)^2 + b*log(c)^2)*log(x))/(a*x + b), x)","F",0
102,0,0,0,0.000000," ","integrate(polylog(2,1+(-a*d+b*c)/d/(b*x+a))/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\rm Li}_2\left(\frac{b c - a d}{{\left(b x + a\right)} d} + 1\right)}{{\left(b x + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(dilog((b*c - a*d)/((b*x + a)*d) + 1)/((b*x + a)*(d*x + c)), x)","F",0
103,0,0,0,0.000000," ","integrate(log((a*d-b*c)/d/(b*x+a))*log(e*(d*x+c)/(b*x+a))/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\int \frac{\log\left(\frac{{\left(d x + c\right)} e}{b x + a}\right) \log\left(-\frac{b c - a d}{{\left(b x + a\right)} d}\right)}{{\left(b x + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(log((d*x + c)*e/(b*x + a))*log(-(b*c - a*d)/((b*x + a)*d))/((b*x + a)*(d*x + c)), x)","F",0
104,0,0,0,0.000000," ","integrate(log((-a*f+b*e)*(d*x+c)/(-c*f+d*e)/(b*x+a))^2/(b*x+a),x, algorithm=""maxima"")","\frac{\log\left(d x + c\right)^{3}}{a} - \int -\frac{{\left(\log\left(-b e + a f\right)^{2} - 2 \, \log\left(-b e + a f\right) \log\left(-d e + c f\right) + \log\left(-d e + c f\right)^{2}\right)} b d x + {\left(\log\left(-b e + a f\right)^{2} - 2 \, \log\left(-b e + a f\right) \log\left(-d e + c f\right) + \log\left(-d e + c f\right)^{2}\right)} b c + {\left(b d x + b c\right)} \log\left(b x + a\right)^{2} - 2 \, {\left(b d x {\left(\log\left(-b e + a f\right) - \log\left(-d e + c f\right)\right)} + b c {\left(\log\left(-b e + a f\right) - \log\left(-d e + c f\right)\right)}\right)} \log\left(b x + a\right) + 2 \, {\left(b d x {\left(\log\left(-b e + a f\right) - \log\left(-d e + c f\right)\right)} + b c {\left(\log\left(-b e + a f\right) - \log\left(-d e + c f\right)\right)} - {\left(2 \, b d x + b c + a d\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right)}{b^{2} d x^{2} + a b c + {\left(b^{2} c + a b d\right)} x}\,{d x}"," ",0,"log(d*x + c)^3/a - integrate(-((log(-b*e + a*f)^2 - 2*log(-b*e + a*f)*log(-d*e + c*f) + log(-d*e + c*f)^2)*b*d*x + (log(-b*e + a*f)^2 - 2*log(-b*e + a*f)*log(-d*e + c*f) + log(-d*e + c*f)^2)*b*c + (b*d*x + b*c)*log(b*x + a)^2 - 2*(b*d*x*(log(-b*e + a*f) - log(-d*e + c*f)) + b*c*(log(-b*e + a*f) - log(-d*e + c*f)))*log(b*x + a) + 2*(b*d*x*(log(-b*e + a*f) - log(-d*e + c*f)) + b*c*(log(-b*e + a*f) - log(-d*e + c*f)) - (2*b*d*x + b*c + a*d)*log(b*x + a))*log(d*x + c))/(b^2*d*x^2 + a*b*c + (b^2*c + a*b*d)*x), x)","F",0
105,0,0,0,0.000000," ","integrate(log(e*(d*x+c)/(b*x+a))*log((a*d-b*c)*(f*x+e)/(-c*f+d*e)/(b*x+a))/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","-\frac{{\left(\log\left(b x + a\right)^{2} - 2 \, {\left(\log\left(b x + a\right) - \log\left(e\right)\right)} \log\left(d x + c\right) + \log\left(d x + c\right)^{2} - 2 \, \log\left(b x + a\right) \log\left(e\right)\right)} \log\left(f x + e\right)}{2 \, {\left(b c - a d\right)}} + \int \frac{2 \, {\left(e \log\left(-b c + a d\right) \log\left(e\right) - e \log\left(d e - c f\right) \log\left(e\right)\right)} b c + {\left(b d f x^{2} + 2 \, b c e - {\left(2 \, d e - c f\right)} a + {\left(3 \, b c f - a d f\right)} x\right)} \log\left(b x + a\right)^{2} - 2 \, {\left(d e \log\left(-b c + a d\right) \log\left(e\right) - d e \log\left(d e - c f\right) \log\left(e\right)\right)} a + 2 \, {\left({\left(f \log\left(-b c + a d\right) \log\left(e\right) - f \log\left(d e - c f\right) \log\left(e\right)\right)} b c - {\left(d f \log\left(-b c + a d\right) \log\left(e\right) - d f \log\left(d e - c f\right) \log\left(e\right)\right)} a\right)} x - 2 \, {\left(b d f x^{2} \log\left(e\right) - {\left(e {\left(\log\left(d e - c f\right) - \log\left(e\right)\right)} - e \log\left(-b c + a d\right)\right)} b c + {\left(d e {\left(\log\left(d e - c f\right) - \log\left(e\right)\right)} - d e \log\left(-b c + a d\right) + c f \log\left(e\right)\right)} a + {\left({\left(f \log\left(-b c + a d\right) - f \log\left(d e - c f\right) + 2 \, f \log\left(e\right)\right)} b c - {\left(d f \log\left(-b c + a d\right) - d f \log\left(d e - c f\right)\right)} a\right)} x\right)} \log\left(b x + a\right) + 2 \, {\left(b d f x^{2} \log\left(e\right) + {\left(e \log\left(-b c + a d\right) - e \log\left(d e - c f\right)\right)} b c - {\left(d e \log\left(-b c + a d\right) - d e \log\left(d e - c f\right) - c f \log\left(e\right)\right)} a + {\left({\left(f \log\left(-b c + a d\right) - f \log\left(d e - c f\right) + f \log\left(e\right)\right)} b c - {\left(d f \log\left(-b c + a d\right) - {\left(f \log\left(d e - c f\right) + f \log\left(e\right)\right)} d\right)} a\right)} x - {\left(b d f x^{2} + 2 \, b c f x + b c e - {\left(d e - c f\right)} a\right)} \log\left(b x + a\right)\right)} \log\left(d x + c\right)}{2 \, {\left(a b c^{2} e - a^{2} c d e + {\left(b^{2} c d f - a b d^{2} f\right)} x^{3} - {\left(a b d^{2} e + a^{2} d^{2} f - {\left(c d e + c^{2} f\right)} b^{2}\right)} x^{2} + {\left(b^{2} c^{2} e + a b c^{2} f - {\left(d^{2} e + c d f\right)} a^{2}\right)} x\right)}}\,{d x}"," ",0,"-1/2*(log(b*x + a)^2 - 2*(log(b*x + a) - log(e))*log(d*x + c) + log(d*x + c)^2 - 2*log(b*x + a)*log(e))*log(f*x + e)/(b*c - a*d) + integrate(1/2*(2*(e*log(-b*c + a*d)*log(e) - e*log(d*e - c*f)*log(e))*b*c + (b*d*f*x^2 + 2*b*c*e - (2*d*e - c*f)*a + (3*b*c*f - a*d*f)*x)*log(b*x + a)^2 - 2*(d*e*log(-b*c + a*d)*log(e) - d*e*log(d*e - c*f)*log(e))*a + 2*((f*log(-b*c + a*d)*log(e) - f*log(d*e - c*f)*log(e))*b*c - (d*f*log(-b*c + a*d)*log(e) - d*f*log(d*e - c*f)*log(e))*a)*x - 2*(b*d*f*x^2*log(e) - (e*(log(d*e - c*f) - log(e)) - e*log(-b*c + a*d))*b*c + (d*e*(log(d*e - c*f) - log(e)) - d*e*log(-b*c + a*d) + c*f*log(e))*a + ((f*log(-b*c + a*d) - f*log(d*e - c*f) + 2*f*log(e))*b*c - (d*f*log(-b*c + a*d) - d*f*log(d*e - c*f))*a)*x)*log(b*x + a) + 2*(b*d*f*x^2*log(e) + (e*log(-b*c + a*d) - e*log(d*e - c*f))*b*c - (d*e*log(-b*c + a*d) - d*e*log(d*e - c*f) - c*f*log(e))*a + ((f*log(-b*c + a*d) - f*log(d*e - c*f) + f*log(e))*b*c - (d*f*log(-b*c + a*d) - (f*log(d*e - c*f) + f*log(e))*d)*a)*x - (b*d*f*x^2 + 2*b*c*f*x + b*c*e - (d*e - c*f)*a)*log(b*x + a))*log(d*x + c))/(a*b*c^2*e - a^2*c*d*e + (b^2*c*d*f - a*b*d^2*f)*x^3 - (a*b*d^2*e + a^2*d^2*f - (c*d*e + c^2*f)*b^2)*x^2 + (b^2*c^2*e + a*b*c^2*f - (d^2*e + c*d*f)*a^2)*x), x)","F",0
106,-2,0,0,0.000000," ","integrate(log((-a*f+b*e)*(d*x+c)/(-c*f+d*e)/(b*x+a))^2/(b*x+a)/(f*x+e),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Memory limit reached. Please jump to an outer pointer, quit program and enlarge thememory limits before executing the program again.","F(-2)",0
107,-2,0,0,0.000000," ","integrate(log((-a*f+b*e)*(d*x+c)/(-c*f+d*e)/(b*x+a))^2/(f*x+e),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Memory limit reached. Please jump to an outer pointer, quit program and enlarge thememory limits before executing the program again.","F(-2)",0
108,-2,0,0,0.000000," ","integrate(log((-a*f+b*e)*(d*x+c)/(-c*f+d*e)/(b*x+a))*log(b*(f*x+e)/(-a*f+b*e))/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Memory limit reached. Please jump to an outer pointer, quit program and enlarge thememory limits before executing the program again.","F(-2)",0
